tptp (empty) → 0.1.0.0
raw patch · 270 files changed
+261689/−0 lines, 270 filesdep +Cabaldep +QuickCheckdep +attoparsecsetup-changed
Dependencies added: Cabal, QuickCheck, attoparsec, base, bifunctors, directory, doctest, extra, generic-random, prettyprinter, scientific, semigroups, text, tptp
Files
- CHANGELOG.md +7/−0
- LICENSE +674/−0
- README.md +38/−0
- Setup.hs +2/−0
- src/Data/TPTP.hs +817/−0
- src/Data/TPTP/Parse/Combinators.hs +460/−0
- src/Data/TPTP/Parse/Text.hs +54/−0
- src/Data/TPTP/Parse/Text/Lazy.hs +30/−0
- src/Data/TPTP/Pretty.hs +320/−0
- test-data/tptp/cnf/ALG001-0.ax +144/−0
- test-data/tptp/cnf/ANA001-0.ax +90/−0
- test-data/tptp/cnf/ANA002-0.ax +156/−0
- test-data/tptp/cnf/ANA003-0.ax +252/−0
- test-data/tptp/cnf/BOO001-0.ax +42/−0
- test-data/tptp/cnf/BOO002-0.ax +130/−0
- test-data/tptp/cnf/BOO003-0.ax +66/−0
- test-data/tptp/cnf/BOO004-0.ax +48/−0
- test-data/tptp/cnf/CAT001-0.ax +115/−0
- test-data/tptp/cnf/CAT002-0.ax +51/−0
- test-data/tptp/cnf/CAT003-0.ax +118/−0
- test-data/tptp/cnf/CAT004-0.ax +79/−0
- test-data/tptp/cnf/COL001-0.ax +56/−0
- test-data/tptp/cnf/COL002-0.ax +137/−0
- test-data/tptp/cnf/COL002-1.ax +124/−0
- test-data/tptp/cnf/FLD001-0.ax +154/−0
- test-data/tptp/cnf/FLD002-0.ax +156/−0
- test-data/tptp/cnf/GEO001-0.ax +136/−0
- test-data/tptp/cnf/GEO001-1.ax +43/−0
- test-data/tptp/cnf/GEO002-0.ax +149/−0
- test-data/tptp/cnf/GEO002-1.ax +47/−0
- test-data/tptp/cnf/GEO002-2.ax +29/−0
- test-data/tptp/cnf/GEO002-3.ax +29/−0
- test-data/tptp/cnf/GEO003-0.ax +275/−0
- test-data/tptp/cnf/GEO004-0.ax +275/−0
- test-data/tptp/cnf/GEO004-1.ax +54/−0
- test-data/tptp/cnf/GEO004-2.ax +239/−0
- test-data/tptp/cnf/GEO004-3.ax +83/−0
- test-data/tptp/cnf/GEO005-0.ax +276/−0
- test-data/tptp/cnf/GRP001-0.ax +56/−0
- test-data/tptp/cnf/GRP002-0.ax +50/−0
- test-data/tptp/cnf/GRP003-0.ax +63/−0
- test-data/tptp/cnf/GRP003-1.ax +39/−0
- test-data/tptp/cnf/GRP003-2.ax +33/−0
- test-data/tptp/cnf/GRP004-0.ax +45/−0
- test-data/tptp/cnf/GRP004-1.ax +38/−0
- test-data/tptp/cnf/GRP004-2.ax +63/−0
- test-data/tptp/cnf/GRP005-0.ax +64/−0
- test-data/tptp/cnf/GRP006-0.ax +76/−0
- test-data/tptp/cnf/GRP008-0.ax +29/−0
- test-data/tptp/cnf/GRP008-1.ax +34/−0
- test-data/tptp/cnf/HEN001-0.ax +71/−0
- test-data/tptp/cnf/HEN002-0.ax +56/−0
- test-data/tptp/cnf/HEN003-0.ax +54/−0
- test-data/tptp/cnf/HWC001-0.ax +55/−0
- test-data/tptp/cnf/HWC002-0.ax +43/−0
- test-data/tptp/cnf/HWV001-0.ax +147/−0
- test-data/tptp/cnf/HWV001-1.ax +78/−0
- test-data/tptp/cnf/HWV001-2.ax +70/−0
- test-data/tptp/cnf/HWV002-0.ax +167/−0
- test-data/tptp/cnf/HWV002-1.ax +78/−0
- test-data/tptp/cnf/HWV002-2.ax +70/−0
- test-data/tptp/cnf/HWV003-0.ax +573/−0
- test-data/tptp/cnf/HWV004-0.ax +706/−0
- test-data/tptp/cnf/LAT001-0.ax +51/−0
- test-data/tptp/cnf/LAT001-1.ax +46/−0
- test-data/tptp/cnf/LAT001-2.ax +39/−0
- test-data/tptp/cnf/LAT001-3.ax +45/−0
- test-data/tptp/cnf/LAT001-4.ax +36/−0
- test-data/tptp/cnf/LAT002-0.ax +137/−0
- test-data/tptp/cnf/LAT003-0.ax +57/−0
- test-data/tptp/cnf/LAT004-0.ax +50/−0
- test-data/tptp/cnf/LAT005-0.ax +44/−0
- test-data/tptp/cnf/LAT006-0.ax +54/−0
- test-data/tptp/cnf/LAT006-1.ax +72/−0
- test-data/tptp/cnf/LAT006-2.ax +105/−0
- test-data/tptp/cnf/LCL001-0.ax +38/−0
- test-data/tptp/cnf/LCL001-1.ax +41/−0
- test-data/tptp/cnf/LCL001-2.ax +45/−0
- test-data/tptp/cnf/LCL002-0.ax +50/−0
- test-data/tptp/cnf/LCL002-1.ax +47/−0
- test-data/tptp/cnf/LCL003-0.ax +57/−0
- test-data/tptp/cnf/LCL004-0.ax +57/−0
- test-data/tptp/cnf/LCL004-1.ax +27/−0
- test-data/tptp/cnf/LCL004-2.ax +27/−0
- test-data/tptp/cnf/LCL005-0.ax +58/−0
- test-data/tptp/cnf/LDA001-0.ax +76/−0
- test-data/tptp/cnf/MGT001-0.ax +74/−0
- test-data/tptp/cnf/MSC001-0.ax +4534/−0
- test-data/tptp/cnf/MSC001-1.ax +6962/−0
- test-data/tptp/cnf/MSC001-2.ax +794/−0
- test-data/tptp/cnf/NUM001-0.ax +45/−0
- test-data/tptp/cnf/NUM001-1.ax +37/−0
- test-data/tptp/cnf/NUM001-2.ax +37/−0
- test-data/tptp/cnf/NUM002-0.ax +70/−0
- test-data/tptp/cnf/NUM003-0.ax +356/−0
- test-data/tptp/cnf/NUM004-0.ax +284/−0
- test-data/tptp/cnf/PLA001-0.ax +77/−0
- test-data/tptp/cnf/PLA001-1.ax +90/−0
- test-data/tptp/cnf/PUZ001-0.ax +103/−0
- test-data/tptp/cnf/PUZ002-0.ax +53/−0
- test-data/tptp/cnf/PUZ003-0.ax +65/−0
- test-data/tptp/cnf/PUZ004-0.ax +188/−0
- test-data/tptp/cnf/PUZ005-0.ax +382/−0
- test-data/tptp/cnf/REL001-0.ax +65/−0
- test-data/tptp/cnf/REL001-1.ax +35/−0
- test-data/tptp/cnf/RNG001-0.ax +110/−0
- test-data/tptp/cnf/RNG002-0.ax +79/−0
- test-data/tptp/cnf/RNG003-0.ax +80/−0
- test-data/tptp/cnf/RNG004-0.ax +90/−0
- test-data/tptp/cnf/RNG005-0.ax +58/−0
- test-data/tptp/cnf/ROB001-0.ax +34/−0
- test-data/tptp/cnf/ROB001-1.ax +39/−0
- test-data/tptp/cnf/SET001-0.ax +50/−0
- test-data/tptp/cnf/SET001-1.ax +56/−0
- test-data/tptp/cnf/SET001-2.ax +56/−0
- test-data/tptp/cnf/SET001-3.ax +56/−0
- test-data/tptp/cnf/SET002-0.ax +118/−0
- test-data/tptp/cnf/SET003-0.ax +709/−0
- test-data/tptp/cnf/SET004-0.ax +554/−0
- test-data/tptp/cnf/SET004-1.ax +120/−0
- test-data/tptp/cnf/SWC001-0.ax +999/−0
- test-data/tptp/cnf/SWV001-0.ax +74/−0
- test-data/tptp/cnf/SWV002-0.ax +126/−0
- test-data/tptp/cnf/SWV004-0.ax +184/−0
- test-data/tptp/cnf/SWV005-0.ax +170/−0
- test-data/tptp/cnf/SWV005-1.ax +219/−0
- test-data/tptp/cnf/SWV005-2.ax +462/−0
- test-data/tptp/cnf/SWV005-3.ax +160/−0
- test-data/tptp/cnf/SWV005-4.ax +63/−0
- test-data/tptp/cnf/SWV005-5.ax +79/−0
- test-data/tptp/cnf/SWV005-6.ax +69/−0
- test-data/tptp/cnf/SWV005-7.ax +114/−0
- test-data/tptp/cnf/SWV006-0.ax +318/−0
- test-data/tptp/cnf/SWV006-1.ax +155/−0
- test-data/tptp/cnf/SWV006-2.ax +144/−0
- test-data/tptp/cnf/SWV006-3.ax +193/−0
- test-data/tptp/cnf/SWV013-0.ax +89/−0
- test-data/tptp/cnf/SYN000-0.ax +34/−0
- test-data/tptp/cnf/SYN000-1.p +83/−0
- test-data/tptp/cnf/SYN001-0.ax +1821/−0
- test-data/tptp/cnf/TOP001-0.ax +601/−0
- test-data/tptp/fof/AGT001+0.ax +185/−0
- test-data/tptp/fof/AGT001+1.ax +774/−0
- test-data/tptp/fof/AGT001+2.ax +1128/−0
- test-data/tptp/fof/ALG002+0.ax +39/−0
- test-data/tptp/fof/COM001+0.ax +486/−0
- test-data/tptp/fof/COM001+1.ax +60/−0
- test-data/tptp/fof/CSR001+0.ax +136/−0
- test-data/tptp/fof/CSR001+1.ax +105/−0
- test-data/tptp/fof/CSR001+2.ax +91/−0
- test-data/tptp/fof/CSR001+3.ax +93/−0
- test-data/tptp/fof/CSR003+3.ax +22750/−0
- test-data/tptp/fof/CSR004+0.ax +31277/−0
- test-data/tptp/fof/GEO004+0.ax +152/−0
- test-data/tptp/fof/GEO004+1.ax +38/−0
- test-data/tptp/fof/GEO004+2.ax +107/−0
- test-data/tptp/fof/GEO004+3.ax +76/−0
- test-data/tptp/fof/GEO006+0.ax +105/−0
- test-data/tptp/fof/GEO006+1.ax +32/−0
- test-data/tptp/fof/GEO006+2.ax +42/−0
- test-data/tptp/fof/GEO006+3.ax +59/−0
- test-data/tptp/fof/GEO006+4.ax +49/−0
- test-data/tptp/fof/GEO006+5.ax +57/−0
- test-data/tptp/fof/GEO006+6.ax +52/−0
- test-data/tptp/fof/GEO007+0.ax +220/−0
- test-data/tptp/fof/GEO007+1.ax +66/−0
- test-data/tptp/fof/GEO008+0.ax +100/−0
- test-data/tptp/fof/GEO009+0.ax +238/−0
- test-data/tptp/fof/GEO010+1.ax +5517/−0
- test-data/tptp/fof/GEO011+0.ax +77/−0
- test-data/tptp/fof/GRA001+0.ax +147/−0
- test-data/tptp/fof/GRP003+0.ax +66/−0
- test-data/tptp/fof/GRP004+0.ax +42/−0
- test-data/tptp/fof/GRP007+0.ax +40/−0
- test-data/tptp/fof/HAL001+0.ax +165/−0
- test-data/tptp/fof/KLE001+0.ax +70/−0
- test-data/tptp/fof/KLE001+1.ax +53/−0
- test-data/tptp/fof/KLE001+2.ax +39/−0
- test-data/tptp/fof/KLE001+3.ax +45/−0
- test-data/tptp/fof/KLE001+4.ax +56/−0
- test-data/tptp/fof/KLE001+5.ax +48/−0
- test-data/tptp/fof/KLE001+6.ax +53/−0
- test-data/tptp/fof/KLE001+7.ax +37/−0
- test-data/tptp/fof/KLE002+0.ax +90/−0
- test-data/tptp/fof/KLE003+0.ax +102/−0
- test-data/tptp/fof/KLE004+0.ax +96/−0
- test-data/tptp/fof/KRS001+0.ax +166/−0
- test-data/tptp/fof/KRS001+1.ax +119/−0
- test-data/tptp/fof/LCL006+0.ax +144/−0
- test-data/tptp/fof/LCL006+1.ax +49/−0
- test-data/tptp/fof/LCL006+2.ax +71/−0
- test-data/tptp/fof/LCL006+3.ax +50/−0
- test-data/tptp/fof/LCL006+4.ax +55/−0
- test-data/tptp/fof/LCL006+5.ax +50/−0
- test-data/tptp/fof/LCL007+0.ax +135/−0
- test-data/tptp/fof/LCL007+1.ax +45/−0
- test-data/tptp/fof/LCL007+2.ax +42/−0
- test-data/tptp/fof/LCL007+3.ax +44/−0
- test-data/tptp/fof/LCL007+4.ax +60/−0
- test-data/tptp/fof/LCL007+5.ax +38/−0
- test-data/tptp/fof/LCL007+6.ax +32/−0
- test-data/tptp/fof/MED001+0.ax +178/−0
- test-data/tptp/fof/MED001+1.ax +236/−0
- test-data/tptp/fof/MGT001+0.ax +98/−0
- test-data/tptp/fof/NUM005+0.ax +795/−0
- test-data/tptp/fof/NUM005+1.ax +156/−0
- test-data/tptp/fof/NUM005+2.ax +355/−0
- test-data/tptp/fof/PLA002+0.ax +297/−0
- test-data/tptp/fof/PRD001+0.ax +7340/−0
- test-data/tptp/fof/PUZ005+0.ax +4664/−0
- test-data/tptp/fof/PUZ006+0.ax +44452/−0
- test-data/tptp/fof/REL001+0.ax +71/−0
- test-data/tptp/fof/REL001+1.ax +38/−0
- test-data/tptp/fof/SET005+0.ax +369/−0
- test-data/tptp/fof/SET006+0.ax +92/−0
- test-data/tptp/fof/SET006+1.ax +198/−0
- test-data/tptp/fof/SET006+2.ax +93/−0
- test-data/tptp/fof/SET006+3.ax +126/−0
- test-data/tptp/fof/SET006+4.ax +94/−0
- test-data/tptp/fof/SWB001+0.ax +3690/−0
- test-data/tptp/fof/SWB002+0.ax +806/−0
- test-data/tptp/fof/SWB003+0.ax +365/−0
- test-data/tptp/fof/SWB003+1.ax +67/−0
- test-data/tptp/fof/SWC001+0.ax +815/−0
- test-data/tptp/fof/SWV003+0.ax +392/−0
- test-data/tptp/fof/SWV007+0.ax +52/−0
- test-data/tptp/fof/SWV007+1.ax +87/−0
- test-data/tptp/fof/SWV007+2.ax +85/−0
- test-data/tptp/fof/SWV007+3.ax +142/−0
- test-data/tptp/fof/SWV007+4.ax +76/−0
- test-data/tptp/fof/SWV009+0.ax +267/−0
- test-data/tptp/fof/SWV011+0.ax +318/−0
- test-data/tptp/fof/SWV012+0.ax +348/−0
- test-data/tptp/fof/SWV376+1.p +108/−0
- test-data/tptp/fof/SYN000+0.ax +37/−0
- test-data/tptp/fof/SYN000+1.p +99/−0
- test-data/tptp/fof/SYN002+0.ax +37/−0
- test-data/tptp/tff/COM110_5.p +946/−0
- test-data/tptp/tff/DAT001=0.ax +48/−0
- test-data/tptp/tff/DAT002=0.ax +67/−0
- test-data/tptp/tff/DAT002=1.ax +67/−0
- test-data/tptp/tff/DAT003=0.ax +122/−0
- test-data/tptp/tff/DAT004=0.ax +68/−0
- test-data/tptp/tff/DAT005=0.ax +95/−0
- test-data/tptp/tff/DAT006=0.ax +112/−0
- test-data/tptp/tff/LCL842_5.p +681/−0
- test-data/tptp/tff/NUN015_5.p +761/−0
- test-data/tptp/tff/PUZ139_1.p +66/−0
- test-data/tptp/tff/SYN000_0.ax +47/−0
- test-data/tptp/tff/SYN000_1.p +171/−0
- test-data/tstp/cnf/AGT004+2---SNARK---20120808r022.THM-Ref.s +163/−0
- test-data/tstp/cnf/AGT004+2---SPASS---3.9.THM-Ref.s +92/−0
- test-data/tstp/cnf/ALG028+1---SPASS---3.9.THM-Ref.s +874/−0
- test-data/tstp/fof/AGT004+2---Metis---2.4.THM-CRf.s +234/−0
- test-data/tstp/fof/AGT006+1---Vampire---SAT-4.3.THM-Ref.s +1401/−0
- test-data/tstp/fof/ALG022+1---Metis---2.3.THM-CRf.s too large to diff
- test-data/tstp/fof/ALG022+1---SInE---0.4.THM-CRf.s +21577/−0
- test-data/tstp/fof/ALG028+1---iProverMo---2.5-0.1.THM-CRf.s +32648/−0
- test-data/tstp/fof/ALG043+1---Vampire---4.3.THM-Ref.s +5265/−0
- test-data/tstp/fof/ALG107+1---iProver---2.8.THM-CRf.s +27638/−0
- test-data/tstp/tff/AGT004+2---Z3---4.4.1.THM-Prf.s +388/−0
- test-data/tstp/tff/ALG039+1---Z3---4.4.1.THM-Prf.s +913/−0
- test/DocTests/Main.hs +6/−0
- test/ParseTPTPLibrary/Main.hs +97/−0
- test/Parser/Main.hs +27/−0
- test/QuickCheckSpec/Generators.hs +263/−0
- test/QuickCheckSpec/Main.hs +140/−0
- test/QuickCheckSpec/Normalizers.hs +99/−0
- test/UnitTests.hs +66/−0
- tptp.cabal +155/−0
+ CHANGELOG.md view
@@ -0,0 +1,7 @@+# Revision history for tptp++## 0.1.0.0 -- 2019-05-07++* First version. Released on an unsuspecting world.++* Supported TPTP languages: CNF, FOF, TFF0, TFF1.
+ LICENSE view
@@ -0,0 +1,674 @@+ GNU GENERAL PUBLIC LICENSE+ Version 3, 29 June 2007++ Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>+ Everyone is permitted to copy and distribute verbatim copies+ of this license document, but changing it is not allowed.++ Preamble++ The GNU General Public License is a free, copyleft license for+software and other kinds of works.++ The licenses for most software and other practical works are designed+to take away your freedom to share and change the works. By contrast,+the GNU General Public License is intended to guarantee your freedom to+share and change all versions of a program--to make sure it remains free+software for all its users. We, the Free Software Foundation, use the+GNU General Public License for most of our software; it applies also to+any other work released this way by its authors. You can apply it to+your programs, too.++ When we speak of free software, we are referring to freedom, not+price. Our General Public Licenses are designed to make sure that you+have the freedom to distribute copies of free software (and charge for+them if you wish), that you receive source code or can get it if you+want it, that you can change the software or use pieces of it in new+free programs, and that you know you can do these things.++ To protect your rights, we need to prevent others from denying you+these rights or asking you to surrender the rights. Therefore, you have+certain responsibilities if you distribute copies of the software, or if+you modify it: responsibilities to respect the freedom of others.++ For example, if you distribute copies of such a program, whether+gratis or for a fee, you must pass on to the recipients the same+freedoms that you received. You must make sure that they, too, receive+or can get the source code. And you must show them these terms so they+know their rights.++ Developers that use the GNU GPL protect your rights with two steps:+(1) assert copyright on the software, and (2) offer you this License+giving you legal permission to copy, distribute and/or modify it.++ For the developers' and authors' protection, the GPL clearly explains+that there is no warranty for this free software. For both users' and+authors' sake, the GPL requires that modified versions be marked as+changed, so that their problems will not be attributed erroneously to+authors of previous versions.++ Some devices are designed to deny users access to install or run+modified versions of the software inside them, although the manufacturer+can do so. This is fundamentally incompatible with the aim of+protecting users' freedom to change the software. The systematic+pattern of such abuse occurs in the area of products for individuals to+use, which is precisely where it is most unacceptable. Therefore, we+have designed this version of the GPL to prohibit the practice for those+products. If such problems arise substantially in other domains, we+stand ready to extend this provision to those domains in future versions+of the GPL, as needed to protect the freedom of users.++ Finally, every program is threatened constantly by software patents.+States should not allow patents to restrict development and use of+software on general-purpose computers, but in those that do, we wish to+avoid the special danger that patents applied to a free program could+make it effectively proprietary. To prevent this, the GPL assures that+patents cannot be used to render the program non-free.++ The precise terms and conditions for copying, distribution and+modification follow.++ TERMS AND CONDITIONS++ 0. Definitions.++ "This License" refers to version 3 of the GNU General Public License.++ "Copyright" also means copyright-like laws that apply to other kinds of+works, such as semiconductor masks.++ "The Program" refers to any copyrightable work licensed under this+License. Each licensee is addressed as "you". "Licensees" and+"recipients" may be individuals or organizations.++ To "modify" a work means to copy from or adapt all or part of the work+in a fashion requiring copyright permission, other than the making of an+exact copy. The resulting work is called a "modified version" of the+earlier work or a work "based on" the earlier work.++ A "covered work" means either the unmodified Program or a work based+on the Program.++ To "propagate" a work means to do anything with it that, without+permission, would make you directly or secondarily liable for+infringement under applicable copyright law, except executing it on a+computer or modifying a private copy. Propagation includes copying,+distribution (with or without modification), making available to the+public, and in some countries other activities as well.++ To "convey" a work means any kind of propagation that enables other+parties to make or receive copies. Mere interaction with a user through+a computer network, with no transfer of a copy, is not conveying.++ An interactive user interface displays "Appropriate Legal Notices"+to the extent that it includes a convenient and prominently visible+feature that (1) displays an appropriate copyright notice, and (2)+tells the user that there is no warranty for the work (except to the+extent that warranties are provided), that licensees may convey the+work under this License, and how to view a copy of this License. If+the interface presents a list of user commands or options, such as a+menu, a prominent item in the list meets this criterion.++ 1. Source Code.++ The "source code" for a work means the preferred form of the work+for making modifications to it. "Object code" means any non-source+form of a work.++ A "Standard Interface" means an interface that either is an official+standard defined by a recognized standards body, or, in the case of+interfaces specified for a particular programming language, one that+is widely used among developers working in that language.++ The "System Libraries" of an executable work include anything, other+than the work as a whole, that (a) is included in the normal form of+packaging a Major Component, but which is not part of that Major+Component, and (b) serves only to enable use of the work with that+Major Component, or to implement a Standard Interface for which an+implementation is available to the public in source code form. A+"Major Component", in this context, means a major essential component+(kernel, window system, and so on) of the specific operating system+(if any) on which the executable work runs, or a compiler used to+produce the work, or an object code interpreter used to run it.++ The "Corresponding Source" for a work in object code form means all+the source code needed to generate, install, and (for an executable+work) run the object code and to modify the work, including scripts to+control those activities. However, it does not include the work's+System Libraries, or general-purpose tools or generally available free+programs which are used unmodified in performing those activities but+which are not part of the work. For example, Corresponding Source+includes interface definition files associated with source files for+the work, and the source code for shared libraries and dynamically+linked subprograms that the work is specifically designed to require,+such as by intimate data communication or control flow between those+subprograms and other parts of the work.++ The Corresponding Source need not include anything that users+can regenerate automatically from other parts of the Corresponding+Source.++ The Corresponding Source for a work in source code form is that+same work.++ 2. Basic Permissions.++ All rights granted under this License are granted for the term of+copyright on the Program, and are irrevocable provided the stated+conditions are met. This License explicitly affirms your unlimited+permission to run the unmodified Program. The output from running a+covered work is covered by this License only if the output, given its+content, constitutes a covered work. This License acknowledges your+rights of fair use or other equivalent, as provided by copyright law.++ You may make, run and propagate covered works that you do not+convey, without conditions so long as your license otherwise remains+in force. You may convey covered works to others for the sole purpose+of having them make modifications exclusively for you, or provide you+with facilities for running those works, provided that you comply with+the terms of this License in conveying all material for which you do+not control copyright. Those thus making or running the covered works+for you must do so exclusively on your behalf, under your direction+and control, on terms that prohibit them from making any copies of+your copyrighted material outside their relationship with you.++ Conveying under any other circumstances is permitted solely under+the conditions stated below. Sublicensing is not allowed; section 10+makes it unnecessary.++ 3. Protecting Users' Legal Rights From Anti-Circumvention Law.++ No covered work shall be deemed part of an effective technological+measure under any applicable law fulfilling obligations under article+11 of the WIPO copyright treaty adopted on 20 December 1996, or+similar laws prohibiting or restricting circumvention of such+measures.++ When you convey a covered work, you waive any legal power to forbid+circumvention of technological measures to the extent such circumvention+is effected by exercising rights under this License with respect to+the covered work, and you disclaim any intention to limit operation or+modification of the work as a means of enforcing, against the work's+users, your or third parties' legal rights to forbid circumvention of+technological measures.++ 4. Conveying Verbatim Copies.++ You may convey verbatim copies of the Program's source code as you+receive it, in any medium, provided that you conspicuously and+appropriately publish on each copy an appropriate copyright notice;+keep intact all notices stating that this License and any+non-permissive terms added in accord with section 7 apply to the code;+keep intact all notices of the absence of any warranty; and give all+recipients a copy of this License along with the Program.++ You may charge any price or no price for each copy that you convey,+and you may offer support or warranty protection for a fee.++ 5. Conveying Modified Source Versions.++ You may convey a work based on the Program, or the modifications to+produce it from the Program, in the form of source code under the+terms of section 4, provided that you also meet all of these conditions:++ a) The work must carry prominent notices stating that you modified+ it, and giving a relevant date.++ b) The work must carry prominent notices stating that it is+ released under this License and any conditions added under section+ 7. This requirement modifies the requirement in section 4 to+ "keep intact all notices".++ c) You must license the entire work, as a whole, under this+ License to anyone who comes into possession of a copy. This+ License will therefore apply, along with any applicable section 7+ additional terms, to the whole of the work, and all its parts,+ regardless of how they are packaged. This License gives no+ permission to license the work in any other way, but it does not+ invalidate such permission if you have separately received it.++ d) If the work has interactive user interfaces, each must display+ Appropriate Legal Notices; however, if the Program has interactive+ interfaces that do not display Appropriate Legal Notices, your+ work need not make them do so.++ A compilation of a covered work with other separate and independent+works, which are not by their nature extensions of the covered work,+and which are not combined with it such as to form a larger program,+in or on a volume of a storage or distribution medium, is called an+"aggregate" if the compilation and its resulting copyright are not+used to limit the access or legal rights of the compilation's users+beyond what the individual works permit. Inclusion of a covered work+in an aggregate does not cause this License to apply to the other+parts of the aggregate.++ 6. Conveying Non-Source Forms.++ You may convey a covered work in object code form under the terms+of sections 4 and 5, provided that you also convey the+machine-readable Corresponding Source under the terms of this License,+in one of these ways:++ a) Convey the object code in, or embodied in, a physical product+ (including a physical distribution medium), accompanied by the+ Corresponding Source fixed on a durable physical medium+ customarily used for software interchange.++ b) Convey the object code in, or embodied in, a physical product+ (including a physical distribution medium), accompanied by a+ written offer, valid for at least three years and valid for as+ long as you offer spare parts or customer support for that product+ model, to give anyone who possesses the object code either (1) a+ copy of the Corresponding Source for all the software in the+ product that is covered by this License, on a durable physical+ medium customarily used for software interchange, for a price no+ more than your reasonable cost of physically performing this+ conveying of source, or (2) access to copy the+ Corresponding Source from a network server at no charge.++ c) Convey individual copies of the object code with a copy of the+ written offer to provide the Corresponding Source. This+ alternative is allowed only occasionally and noncommercially, and+ only if you received the object code with such an offer, in accord+ with subsection 6b.++ d) Convey the object code by offering access from a designated+ place (gratis or for a charge), and offer equivalent access to the+ Corresponding Source in the same way through the same place at no+ further charge. You need not require recipients to copy the+ Corresponding Source along with the object code. If the place to+ copy the object code is a network server, the Corresponding Source+ may be on a different server (operated by you or a third party)+ that supports equivalent copying facilities, provided you maintain+ clear directions next to the object code saying where to find the+ Corresponding Source. Regardless of what server hosts the+ Corresponding Source, you remain obligated to ensure that it is+ available for as long as needed to satisfy these requirements.++ e) Convey the object code using peer-to-peer transmission, provided+ you inform other peers where the object code and Corresponding+ Source of the work are being offered to the general public at no+ charge under subsection 6d.++ A separable portion of the object code, whose source code is excluded+from the Corresponding Source as a System Library, need not be+included in conveying the object code work.++ A "User Product" is either (1) a "consumer product", which means any+tangible personal property which is normally used for personal, family,+or household purposes, or (2) anything designed or sold for incorporation+into a dwelling. In determining whether a product is a consumer product,+doubtful cases shall be resolved in favor of coverage. For a particular+product received by a particular user, "normally used" refers to a+typical or common use of that class of product, regardless of the status+of the particular user or of the way in which the particular user+actually uses, or expects or is expected to use, the product. A product+is a consumer product regardless of whether the product has substantial+commercial, industrial or non-consumer uses, unless such uses represent+the only significant mode of use of the product.++ "Installation Information" for a User Product means any methods,+procedures, authorization keys, or other information required to install+and execute modified versions of a covered work in that User Product from+a modified version of its Corresponding Source. The information must+suffice to ensure that the continued functioning of the modified object+code is in no case prevented or interfered with solely because+modification has been made.++ If you convey an object code work under this section in, or with, or+specifically for use in, a User Product, and the conveying occurs as+part of a transaction in which the right of possession and use of the+User Product is transferred to the recipient in perpetuity or for a+fixed term (regardless of how the transaction is characterized), the+Corresponding Source conveyed under this section must be accompanied+by the Installation Information. But this requirement does not apply+if neither you nor any third party retains the ability to install+modified object code on the User Product (for example, the work has+been installed in ROM).++ The requirement to provide Installation Information does not include a+requirement to continue to provide support service, warranty, or updates+for a work that has been modified or installed by the recipient, or for+the User Product in which it has been modified or installed. Access to a+network may be denied when the modification itself materially and+adversely affects the operation of the network or violates the rules and+protocols for communication across the network.++ Corresponding Source conveyed, and Installation Information provided,+in accord with this section must be in a format that is publicly+documented (and with an implementation available to the public in+source code form), and must require no special password or key for+unpacking, reading or copying.++ 7. Additional Terms.++ "Additional permissions" are terms that supplement the terms of this+License by making exceptions from one or more of its conditions.+Additional permissions that are applicable to the entire Program shall+be treated as though they were included in this License, to the extent+that they are valid under applicable law. If additional permissions+apply only to part of the Program, that part may be used separately+under those permissions, but the entire Program remains governed by+this License without regard to the additional permissions.++ When you convey a copy of a covered work, you may at your option+remove any additional permissions from that copy, or from any part of+it. (Additional permissions may be written to require their own+removal in certain cases when you modify the work.) You may place+additional permissions on material, added by you to a covered work,+for which you have or can give appropriate copyright permission.++ Notwithstanding any other provision of this License, for material you+add to a covered work, you may (if authorized by the copyright holders of+that material) supplement the terms of this License with terms:++ a) Disclaiming warranty or limiting liability differently from the+ terms of sections 15 and 16 of this License; or++ b) Requiring preservation of specified reasonable legal notices or+ author attributions in that material or in the Appropriate Legal+ Notices displayed by works containing it; or++ c) Prohibiting misrepresentation of the origin of that material, or+ requiring that modified versions of such material be marked in+ reasonable ways as different from the original version; or++ d) Limiting the use for publicity purposes of names of licensors or+ authors of the material; or++ e) Declining to grant rights under trademark law for use of some+ trade names, trademarks, or service marks; or++ f) Requiring indemnification of licensors and authors of that+ material by anyone who conveys the material (or modified versions of+ it) with contractual assumptions of liability to the recipient, for+ any liability that these contractual assumptions directly impose on+ those licensors and authors.++ All other non-permissive additional terms are considered "further+restrictions" within the meaning of section 10. If the Program as you+received it, or any part of it, contains a notice stating that it is+governed by this License along with a term that is a further+restriction, you may remove that term. If a license document contains+a further restriction but permits relicensing or conveying under this+License, you may add to a covered work material governed by the terms+of that license document, provided that the further restriction does+not survive such relicensing or conveying.++ If you add terms to a covered work in accord with this section, you+must place, in the relevant source files, a statement of the+additional terms that apply to those files, or a notice indicating+where to find the applicable terms.++ Additional terms, permissive or non-permissive, may be stated in the+form of a separately written license, or stated as exceptions;+the above requirements apply either way.++ 8. Termination.++ You may not propagate or modify a covered work except as expressly+provided under this License. Any attempt otherwise to propagate or+modify it is void, and will automatically terminate your rights under+this License (including any patent licenses granted under the third+paragraph of section 11).++ However, if you cease all violation of this License, then your+license from a particular copyright holder is reinstated (a)+provisionally, unless and until the copyright holder explicitly and+finally terminates your license, and (b) permanently, if the copyright+holder fails to notify you of the violation by some reasonable means+prior to 60 days after the cessation.++ Moreover, your license from a particular copyright holder is+reinstated permanently if the copyright holder notifies you of the+violation by some reasonable means, this is the first time you have+received notice of violation of this License (for any work) from that+copyright holder, and you cure the violation prior to 30 days after+your receipt of the notice.++ Termination of your rights under this section does not terminate the+licenses of parties who have received copies or rights from you under+this License. If your rights have been terminated and not permanently+reinstated, you do not qualify to receive new licenses for the same+material under section 10.++ 9. Acceptance Not Required for Having Copies.++ You are not required to accept this License in order to receive or+run a copy of the Program. Ancillary propagation of a covered work+occurring solely as a consequence of using peer-to-peer transmission+to receive a copy likewise does not require acceptance. However,+nothing other than this License grants you permission to propagate or+modify any covered work. These actions infringe copyright if you do+not accept this License. Therefore, by modifying or propagating a+covered work, you indicate your acceptance of this License to do so.++ 10. Automatic Licensing of Downstream Recipients.++ Each time you convey a covered work, the recipient automatically+receives a license from the original licensors, to run, modify and+propagate that work, subject to this License. You are not responsible+for enforcing compliance by third parties with this License.++ An "entity transaction" is a transaction transferring control of an+organization, or substantially all assets of one, or subdividing an+organization, or merging organizations. If propagation of a covered+work results from an entity transaction, each party to that+transaction who receives a copy of the work also receives whatever+licenses to the work the party's predecessor in interest had or could+give under the previous paragraph, plus a right to possession of the+Corresponding Source of the work from the predecessor in interest, if+the predecessor has it or can get it with reasonable efforts.++ You may not impose any further restrictions on the exercise of the+rights granted or affirmed under this License. For example, you may+not impose a license fee, royalty, or other charge for exercise of+rights granted under this License, and you may not initiate litigation+(including a cross-claim or counterclaim in a lawsuit) alleging that+any patent claim is infringed by making, using, selling, offering for+sale, or importing the Program or any portion of it.++ 11. Patents.++ A "contributor" is a copyright holder who authorizes use under this+License of the Program or a work on which the Program is based. The+work thus licensed is called the contributor's "contributor version".++ A contributor's "essential patent claims" are all patent claims+owned or controlled by the contributor, whether already acquired or+hereafter acquired, that would be infringed by some manner, permitted+by this License, of making, using, or selling its contributor version,+but do not include claims that would be infringed only as a+consequence of further modification of the contributor version. For+purposes of this definition, "control" includes the right to grant+patent sublicenses in a manner consistent with the requirements of+this License.++ Each contributor grants you a non-exclusive, worldwide, royalty-free+patent license under the contributor's essential patent claims, to+make, use, sell, offer for sale, import and otherwise run, modify and+propagate the contents of its contributor version.++ In the following three paragraphs, a "patent license" is any express+agreement or commitment, however denominated, not to enforce a patent+(such as an express permission to practice a patent or covenant not to+sue for patent infringement). To "grant" such a patent license to a+party means to make such an agreement or commitment not to enforce a+patent against the party.++ If you convey a covered work, knowingly relying on a patent license,+and the Corresponding Source of the work is not available for anyone+to copy, free of charge and under the terms of this License, through a+publicly available network server or other readily accessible means,+then you must either (1) cause the Corresponding Source to be so+available, or (2) arrange to deprive yourself of the benefit of the+patent license for this particular work, or (3) arrange, in a manner+consistent with the requirements of this License, to extend the patent+license to downstream recipients. "Knowingly relying" means you have+actual knowledge that, but for the patent license, your conveying the+covered work in a country, or your recipient's use of the covered work+in a country, would infringe one or more identifiable patents in that+country that you have reason to believe are valid.++ If, pursuant to or in connection with a single transaction or+arrangement, you convey, or propagate by procuring conveyance of, a+covered work, and grant a patent license to some of the parties+receiving the covered work authorizing them to use, propagate, modify+or convey a specific copy of the covered work, then the patent license+you grant is automatically extended to all recipients of the covered+work and works based on it.++ A patent license is "discriminatory" if it does not include within+the scope of its coverage, prohibits the exercise of, or is+conditioned on the non-exercise of one or more of the rights that are+specifically granted under this License. You may not convey a covered+work if you are a party to an arrangement with a third party that is+in the business of distributing software, under which you make payment+to the third party based on the extent of your activity of conveying+the work, and under which the third party grants, to any of the+parties who would receive the covered work from you, a discriminatory+patent license (a) in connection with copies of the covered work+conveyed by you (or copies made from those copies), or (b) primarily+for and in connection with specific products or compilations that+contain the covered work, unless you entered into that arrangement,+or that patent license was granted, prior to 28 March 2007.++ Nothing in this License shall be construed as excluding or limiting+any implied license or other defenses to infringement that may+otherwise be available to you under applicable patent law.++ 12. No Surrender of Others' Freedom.++ If conditions are imposed on you (whether by court order, agreement or+otherwise) that contradict the conditions of this License, they do not+excuse you from the conditions of this License. If you cannot convey a+covered work so as to satisfy simultaneously your obligations under this+License and any other pertinent obligations, then as a consequence you may+not convey it at all. For example, if you agree to terms that obligate you+to collect a royalty for further conveying from those to whom you convey+the Program, the only way you could satisfy both those terms and this+License would be to refrain entirely from conveying the Program.++ 13. Use with the GNU Affero General Public License.++ Notwithstanding any other provision of this License, you have+permission to link or combine any covered work with a work licensed+under version 3 of the GNU Affero General Public License into a single+combined work, and to convey the resulting work. The terms of this+License will continue to apply to the part which is the covered work,+but the special requirements of the GNU Affero General Public License,+section 13, concerning interaction through a network will apply to the+combination as such.++ 14. Revised Versions of this License.++ The Free Software Foundation may publish revised and/or new versions of+the GNU General Public License from time to time. Such new versions will+be similar in spirit to the present version, but may differ in detail to+address new problems or concerns.++ Each version is given a distinguishing version number. If the+Program specifies that a certain numbered version of the GNU General+Public License "or any later version" applies to it, you have the+option of following the terms and conditions either of that numbered+version or of any later version published by the Free Software+Foundation. If the Program does not specify a version number of the+GNU General Public License, you may choose any version ever published+by the Free Software Foundation.++ If the Program specifies that a proxy can decide which future+versions of the GNU General Public License can be used, that proxy's+public statement of acceptance of a version permanently authorizes you+to choose that version for the Program.++ Later license versions may give you additional or different+permissions. However, no additional obligations are imposed on any+author or copyright holder as a result of your choosing to follow a+later version.++ 15. Disclaimer of Warranty.++ THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY+APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT+HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY+OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,+THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR+PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM+IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF+ALL NECESSARY SERVICING, REPAIR OR CORRECTION.++ 16. Limitation of Liability.++ IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF+SUCH DAMAGES.++ 17. Interpretation of Sections 15 and 16.++ If the disclaimer of warranty and limitation of liability provided+above cannot be given local legal effect according to their terms,+reviewing courts shall apply local law that most closely approximates+an absolute waiver of all civil liability in connection with the+Program, unless a warranty or assumption of liability accompanies a+copy of the Program in return for a fee.++ END OF TERMS AND CONDITIONS++ How to Apply These Terms to Your New Programs++ If you develop a new program, and you want it to be of the greatest+possible use to the public, the best way to achieve this is to make it+free software which everyone can redistribute and change under these terms.++ To do so, attach the following notices to the program. It is safest+to attach them to the start of each source file to most effectively+state the exclusion of warranty; and each file should have at least+the "copyright" line and a pointer to where the full notice is found.++ <one line to give the program's name and a brief idea of what it does.>+ Copyright (C) <year> <name of author>++ This program is free software: you can redistribute it and/or modify+ it under the terms of the GNU General Public License as published by+ the Free Software Foundation, either version 3 of the License, or+ (at your option) any later version.++ This program is distributed in the hope that it will be useful,+ but WITHOUT ANY WARRANTY; without even the implied warranty of+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the+ GNU General Public License for more details.++ You should have received a copy of the GNU General Public License+ along with this program. If not, see <http://www.gnu.org/licenses/>.++Also add information on how to contact you by electronic and paper mail.++ If the program does terminal interaction, make it output a short+notice like this when it starts in an interactive mode:++ <program> Copyright (C) <year> <name of author>+ This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.+ This is free software, and you are welcome to redistribute it+ under certain conditions; type `show c' for details.++The hypothetical commands `show w' and `show c' should show the appropriate+parts of the General Public License. Of course, your program's commands+might be different; for a GUI interface, you would use an "about box".++ You should also get your employer (if you work as a programmer) or school,+if any, to sign a "copyright disclaimer" for the program, if necessary.+For more information on this, and how to apply and follow the GNU GPL, see+<http://www.gnu.org/licenses/>.++ The GNU General Public License does not permit incorporating your program+into proprietary programs. If your program is a subroutine library, you+may consider it more useful to permit linking proprietary applications with+the library. If this is what you want to do, use the GNU Lesser General+Public License instead of this License. But first, please read+<http://www.gnu.org/philosophy/why-not-lgpl.html>.
+ README.md view
@@ -0,0 +1,38 @@+# tptp++[](https://travis-ci.org/aztek/tptp)++[TPTP](http://www.tptp.org) (Thousands of Problems for Theorem Provers) is the standard language of problems, proofs, and models, used by automated theorem provers.++This library provides definitions of data types, a pretty printer and an [attoparsec](http://hackage.haskell.org/package/attoparsec) parser for (currently, a subset of) the TPTP language.++## Example++Consider the following classical syllogism.++> All humans are mortal.+> Socrates is a human.+> Therefore, Socrates is mortal.++We can formalize this syllogism in unsorted first-order logic and write it down in TPTP as following.++```haskell+import Data.TPTP++humansAreMortal :: UnsortedFirstOrder+humansAreMortal = forall ["P"] $+ Connective (Predicate "human" [var "P"]) Implication (Predicate "mortal" [var "P"])++socratesIsHuman :: UnsortedFirstOrder+socratesIsHuman = Predicate "human" [Function "socrates" []]++socratesIsMortal :: UnsortedFirstOrder+socratesIsMortal = Predicate "mortal" [Function "socrates" []]++syllogism :: TPTP+syllogism = TPTP [+ axiom "humans_are_mortal" humansAreMortal,+ axiom "socrates_is_human" socratesIsHuman,+ conjecture "socrates_is_mortal" socratesIsMortal+ ]+```
+ Setup.hs view
@@ -0,0 +1,2 @@+import Distribution.Simple+main = defaultMain
+ src/Data/TPTP.hs view
@@ -0,0 +1,817 @@+{-# LANGUAGE DeriveFunctor, DeriveTraversable, DeriveFoldable #-}+{-# LANGUAGE GeneralizedNewtypeDeriving #-}+{-# LANGUAGE OverloadedStrings #-}+{-# LANGUAGE PatternGuards #-}+{-# LANGUAGE LambdaCase #-}++-- |+-- Module : Data.TPTP+-- Description : Data type definitions for the syntax of the TPTP language.+-- Copyright : (c) Evgenii Kotelnikov, 2019+-- License : GPL-3+-- Maintainer : evgeny.kotelnikov@gmail.com+-- Stability : experimental+--+-- See [the BNF grammar](http://tptp.cs.miami.edu/TPTP/SyntaxBNF.html)+-- definition of the TPTP language for details.+--++module Data.TPTP (+ -- * Languages+ Language(..),++ -- * Names+ Atom(..),+ isValidAtom,++ Var(..),+ isValidVar,++ DistinctObject(..),+ isValidDistinctObject,++ Reserved(..),+ extended,+ isValidReserved,++ Named(..),++ Function(..),+ Predicate(..),++ Name(..),++ -- * Sorts and types+ Sort(..),+ TFF1Sort(..),+ monomorphizeTFF1Sort,+ Type(..),+ tff1Type,++ -- * First-order logic+ Number(..),+ Term(..),+ Literal(..),+ Sign(..),+ Clause(..),+ clause,+ Quantifier(..),+ Connective(..),+ isAssociative,+ FirstOrder(..),+ quantified,+ Unsorted(..),+ Sorted(..),+ QuantifiedSort(..),+ UnsortedFirstOrder,+ SortedFirstOrder,+ MonomorphicFirstOrder,+ PolymorphicFirstOrder,+ monomorphizeFirstOrder,++ -- * Units+ Formula(..),+ formulaLanguage,+ Role(..),+ Declaration(..),+ declarationLanguage,+ UnitName,+ Unit(..),+ TPTP(..),++ -- * Annotations+ Intro(..),+ Source(..),+ Status(..),+ Parent(..),+ Expression(..),+ Info(..),+ Annotation+) where++import Data.Char (isAscii, isAsciiLower, isAsciiUpper, isDigit, isPrint)+import Data.List (find)+import Data.List.NonEmpty (NonEmpty(..), nonEmpty)+import Data.Scientific (Scientific)+import Data.String (IsString, fromString)+import qualified Data.Text as Text (all, null, head, tail)+import Data.Text (Text)++-- $setup+-- >>> :set -XOverloadedStrings+-- >>> :load Data.TPTP.Pretty+-- >>> import Test.QuickCheck+++-- * Languages++-- | The language of logical formulas available in TPTP.+data Language+ = CNF_ -- ^ __CNF__ - the language of clausal normal forms of+ -- unsorted first-order logic.+ | FOF_ -- ^ __FOF__ - the language of full unsorted first-order logic.+ | TFF_ -- ^ __TFF__ - the language of full sorted first-order logic,+ -- both monomorphic (TFF0) and polymorphic (TFF1).+ deriving (Eq, Show, Ord, Enum, Bounded)++instance Named Language where+ name = \case+ CNF_ -> "cnf"+ FOF_ -> "fof"+ TFF_ -> "tff"+++-- * Names++-- | The atomic word in the TPTP language - a non-empty string of space or+-- visible characters from the ASCII range 0x20 to 0x7E. If the string satisfies+-- the regular expression @[a-z][a-zA-Z0-9_]*@ it is displayed in the TPTP+-- language as is, otherwise it is displayed in single quotes with the+-- characters @'@ and @\\@ escaped using @\\@.+--+-- >>> print (pretty (Atom "fxYz42"))+-- fxYz42+--+-- >>> print (pretty (Atom "f-'function symbol'"))+-- 'f-\'function symbol\''+--+newtype Atom = Atom Text+ deriving (Eq, Show, Ord, IsString)++-- | Check whether a given character is in the ASCII range 0x20 to 0x7E.+isAsciiPrint :: Char -> Bool+isAsciiPrint c = isAscii c && isPrint c++-- | Check whether a given string is a valid atom.+--+-- >>> isValidAtom ""+-- False+--+-- >>> isValidAtom "\r\n"+-- False+--+-- >>> isValidAtom "fxYz42"+-- True+--+-- >>> isValidAtom "f-'function symbol'"+-- True+isValidAtom :: Text -> Bool+isValidAtom t = not (Text.null t)+ && Text.all isAsciiPrint t++-- | The variable in the TPTP language - a string that satisfies the regular+-- expression @[A-Z][a-zA-Z0-9_]*@.+newtype Var = Var Text+ deriving (Eq, Show, Ord, IsString)++-- | Check whether a given character matches the regular expression+-- @[a-zA-Z0-9_]@.+isAlphaNumeric :: Char -> Bool+isAlphaNumeric c = isAsciiLower c || isAsciiUpper c || isDigit c || c == '_'++-- | Check whether a given string is a valid variable.+--+-- >>> isValidVar ""+-- False+--+-- >>> isValidVar "x"+-- False+--+-- >>> isValidVar "X"+-- True+--+-- >>> isValidVar "Cat"+-- True+--+-- >>> isValidVar "C@t"+-- False+isValidVar :: Text -> Bool+isValidVar t = not (Text.null t)+ && isAsciiUpper (Text.head t)+ && Text.all isAlphaNumeric (Text.tail t)++-- | The distinct object in the TPTP language - a (possibly empty) string of+-- space or visible characters from the ASCII range 0x20 to 0x7E. The string is+-- always displayed in the TPTP language in double quotes with the characters+-- @"@ and @\\@ escaped using @\\@.+--+-- >>> print (pretty (DistinctObject "Godel's incompleteness theorem"))+-- "Godel's incompleteness theorem"+--+-- Distinct objects are different from atoms in that they implicitly carry+-- semantic inequality. The TPTP documentation says the following about distinct+-- objects.+--+-- /Distinct objects are different from (but may be equal to) other tokens,/+-- /e.g.,/ @"cat"@ /is different from/ @\'cat\'@ /and/ @cat@. /Distinct objects/+-- /are always interpreted as themselves, so if they are different they are/+-- /unequal, e.g.,/ @\"Apple\" != \"Microsoft\"@ /is implicit./+newtype DistinctObject = DistinctObject Text+ deriving (Eq, Show, Ord, IsString)++-- | Check whether a given string is a valid distinct object.+--+-- >>> isValidDistinctObject ""+-- True+--+-- >>> isValidDistinctObject "Godel's incompleteness theorem"+-- True+--+-- >>> isValidDistinctObject "\r\n"+-- False+isValidDistinctObject :: Text -> Bool+isValidDistinctObject = Text.all isAsciiPrint++-- | The identifier reserved in the TPTP specification and theorem proving+-- systems that implement it. Reserved identifiers are used to represent+-- function symbols, predicate symbols, sorts, formula roles and others.+-- Reserved identifiers are non-empty strings that satisfy the regular+-- expression @[a-z][a-zA-Z0-9_]*@. Reserved identifiers of functions,+-- predicates, and sorts, used as names, are in addition prepended by @$@.+--+-- >>> print (pretty (Standard I))+-- i+--+-- >>> print (pretty (Standard Axiom))+-- axiom+--+-- >>> print (pretty (Extended "negated_lemma" :: Reserved Role))+-- negated_lemma+data Reserved s+ = Standard s -- ^ The identifier contained in the TPTP specification.+ | Extended Text -- ^ The identifier not contained in the standard TPTP but+ -- implemented by some theorem prover. For example, Vampire+ -- implements uses the sort constructor @$array@.+ deriving (Eq, Show, Ord)++-- | A smart 'Extended' constructor - only uses 'Extended' if the given string+-- does not correspond to any of the standard identifiers.+--+-- >>> extended "int" :: Reserved Sort+-- Standard Int+--+-- >>> extended "array" :: Reserved Sort+-- Extended "array"+extended :: (Named a, Enum a, Bounded a) => Text -> Reserved a+extended t+ | Just a <- find (\a -> name a == t) [minBound..] = Standard a+ | otherwise = Extended t++instance (Named a, Enum a, Bounded a) => IsString (Reserved a) where+ fromString = extended . fromString++-- | Check whether a given string is a valid reserved identifier.+--+-- >>> isValidReserved ""+-- False+--+-- >>> isValidReserved "x"+-- True+--+-- >>> isValidReserved "X"+-- False+--+-- >>> isValidReserved "cat"+-- True+--+-- >>> isValidReserved "c@t"+-- False+--+-- >>> isValidReserved "$int"+-- False+--+isValidReserved :: Text -> Bool+isValidReserved t = not (Text.null t)+ && isAsciiLower (Text.head t)+ && Text.all isAlphaNumeric (Text.tail t)++-- | The class 'Named' allows assigning concrete names to reserved constants+-- in the TPTP language.+class Named a where+ name :: a -> Text++-- | The standard function symbol in TPTP.+-- Represents an operation in a first-order theory of arithmetic.+data Function+ = Uminus+ | Sum+ | Difference+ | Product+ | Quotient+ | QuotientE+ | QuotientT+ | QuotientF+ | RemainderE+ | RemainderT+ | RemainderF+ | Floor+ | Ceiling+ | Truncate+ | Round+ | ToInt+ | ToRat+ | ToReal+ deriving (Eq, Show, Ord, Enum, Bounded)++instance Named Function where+ name = \case+ Uminus -> "uminus"+ Sum -> "sum"+ Difference -> "difference"+ Product -> "product"+ Quotient -> "quotient"+ QuotientE -> "quotient_e"+ QuotientT -> "quotient_t"+ QuotientF -> "quotient_f"+ RemainderE -> "remainder_e"+ RemainderT -> "remainder_t"+ RemainderF -> "remainder_f"+ Floor -> "floor"+ Ceiling -> "ceiling"+ Truncate -> "truncate"+ Round -> "round"+ ToInt -> "to_int"+ ToRat -> "to_rat"+ ToReal -> "to_real"++-- | The standard predicate symbol in TPTP.+data Predicate+ = Tautology+ | Falsum+ | Distinct+ | Less+ | Lesseq+ | Greater+ | Greatereq+ | IsInt+ | IsRat+ deriving (Eq, Show, Ord, Enum, Bounded)++instance Named Predicate where+ name = \case+ Tautology -> "true"+ Falsum -> "false"+ Distinct -> "distinct"+ Less -> "less"+ Lesseq -> "lesseq"+ Greater -> "greater"+ Greatereq -> "greatereq"+ IsInt -> "is_int"+ IsRat -> "is_rat"++-- | The name of a function symbol, a predicate symbol, a sort, a formula role+-- or other.+--+-- > >>> print (pretty (Reserved (Standard I)))+-- > $i+--+-- > >>> print (pretty (Reserved (Extended "array" :: Reserved Sort)))+-- > $array+--+-- >>> print (pretty (Defined (Atom "array") :: Name Sort))+-- array+data Name s+ = Reserved (Reserved s) -- ^ The name reserved in the TPTP specification.+ -- This name is parsed and pretty printed with the+ -- leading @$@ character.+ | Defined Atom -- ^ The name defined by the user.+ deriving (Eq, Show, Ord)++-- | The 'IsString' instance of 'Name' opts for using the 'Defined' constructor.+instance IsString (Name s) where+ fromString = Defined . fromString+++-- * Sorts and types++-- | The standard sort in TPTP.+data Sort+ = I -- ^ The sort of individuals.+ | O -- ^ The sort of booleans.+ | Int -- ^ The sort of integers.+ | Real -- ^ The sort of real numbers.+ | Rat -- ^ The sort of rational numbers.+ deriving (Eq, Show, Ord, Enum, Bounded)++instance Named Sort where+ name = \case+ I -> "i"+ O -> "o"+ Int -> "int"+ Real -> "real"+ Rat -> "rat"++-- | The sort in sorted rank-1 polymorphic logic with sort constructors (TFF1) -+-- an application of a sort constructor to zero or more sorts or a sort variable+-- that comes from a sort quantifier. A zero-arity sort application is simply a+-- sort.+--+-- Every TFF0 sort is also a TFF1 sort, but not the other way around.+data TFF1Sort+ = SortVariable Var+ | TFF1Sort (Name Sort) [TFF1Sort]+ deriving (Eq, Show, Ord)++-- | Attempt to convert a given TFF1 sort to TFF0. This function succeeds iff+-- the given sort is a sort constructor with zero arity.+monomorphizeTFF1Sort :: TFF1Sort -> Maybe (Name Sort)+monomorphizeTFF1Sort = \case+ TFF1Sort f [] -> Just f+ _ -> Nothing++-- | The type of a function or a predicate symbol in a sorted first-order logic+-- (TFF0 or TFF1). Each TFF0 type is also a TFF1 type, but not the other way+-- around.+data Type+ -- | The type of a function or a predicate symbol in the sorted monomorphic+ -- first-order logic (TFF0). It is a mapping of zero or more sorts to a sort.+ -- The empty list of argument sorts marks the type of a constant symbol.+ = Type [Name Sort] (Name Sort)++ -- | The type of a function or a predicate symbol in the sorted rank-1+ -- polymorphic first-order logic (TFF1). It is a (possibly quantified)+ -- mapping of zero or more TFF1 sorts to a TFF1 sort. The empty list of sort+ -- variables marks a monomorphic TFF1 type. The empty list of argument sorts+ -- marks the type of a constant symbol.+ | TFF1Type [Var] [TFF1Sort] TFF1Sort++ deriving (Eq, Show, Ord)++-- | A smart constructor of a TFF1 type. 'tff1Type' constructs a TFF0 type with+-- its arguments, if it is possible, and otherwise constructs a TFF1 type.+tff1Type :: [Var] -> [TFF1Sort] -> TFF1Sort -> Type+tff1Type [] ss s+ | Just ss' <- traverse monomorphizeTFF1Sort ss+ , Just s' <- monomorphizeTFF1Sort s = Type ss' s'+tff1Type vs ss s = TFF1Type vs ss s+++-- * First-order logic++-- | The integer, rational, or real constant.+data Number+ = IntegerConstant Integer+ -- ^ A positive or negative integer.+ | RationalConstant Integer Integer+ -- ^ A rational number, represented as a pair of its numerator (positive or+ -- negative integer, possibly zero) and denominator (strictly positive+ -- non-zero integer).+ | RealConstant Scientific+ -- ^ A real number, written in the scientific notation.+ deriving (Eq, Show, Ord)++-- | The term in first-order logic extended with arithmetic.+data Term+ = Function (Name Function) [Term]+ -- ^ Application of a function symbol. The empty list of arguments+ -- represents a constant function symbol.+ | Variable Var+ -- ^ A quantified variable.+ | Number Number+ -- ^ An integer, rational or real constant.+ | DistinctTerm DistinctObject+ -- ^ A distinct object.+ deriving (Eq, Show, Ord)++-- | The sign of first-order literals and equality.+data Sign+ = Positive+ | Negative+ deriving (Eq, Show, Ord, Enum, Bounded)++instance Named Sign where+ name = \case+ Positive -> "="+ Negative -> "!="++-- | The literal in first-order logic.+-- The logical tautology is represented as+-- 'Predicate (Reserved (Standard Tautology)) []'+-- and the logical falsum is represented as+-- 'Predicate (Reserved (Standard Falsum)) []'.+data Literal+ = Predicate (Name Predicate) [Term]+ -- ^ Application of a predicate symbol.+ | Equality Term Sign Term+ -- ^ Equality or inequality.+ deriving (Eq, Show, Ord)++-- | The clause in first-order logic - implicitly universally-quantified+-- disjunction of one or more signed literals. Semantically, a clause is allowed+-- to be empty in which case it is the logical falsum. However, the TPTP syntax+-- does not allow empty clauses, instead the unit clause @$false@ must be used.+newtype Clause = Clause (NonEmpty (Sign, Literal))+ deriving (Eq, Show, Ord)++-- | A smart constructor for 'Clause'. 'clause' constructs a clause from a+-- possibly empty list of signed literals. If the provided list is empty,+-- the unit clause @$false@ is constructed instead.+clause :: [(Sign, Literal)] -> Clause+clause ls+ | Just ls' <- nonEmpty ls = Clause ls'+ | otherwise = Clause ((Positive, falsum) :| [])+ where+ falsum = Predicate (Reserved (Standard Falsum)) []++-- | The quantifier in first-order logic.+data Quantifier+ = Forall -- ^ The universal quantifier.+ | Exists -- ^ The existential quantifier.+ deriving (Eq, Show, Ord, Enum, Bounded)++instance Named Quantifier where+ name = \case+ Forall -> "!"+ Exists -> "?"++-- | The connective in full first-order logic.+data Connective+ = Conjunction+ | Disjunction+ | Implication+ | Equivalence+ | ExclusiveOr+ | NegatedConjunction+ | NegatedDisjunction+ | ReversedImplication+ deriving (Eq, Show, Ord, Enum, Bounded)++-- | Check associativity of a given connective.+--+-- >>> isAssociative Implication+-- False+--+-- >>> isAssociative Conjunction+-- True+isAssociative :: Connective -> Bool+isAssociative = \case+ Conjunction -> True+ Disjunction -> True+ Implication -> False+ Equivalence -> False+ ExclusiveOr -> False+ NegatedConjunction -> False+ NegatedDisjunction -> False+ ReversedImplication -> False++instance Named Connective where+ name = \case+ Conjunction -> "&"+ Disjunction -> "|"+ Implication -> "=>"+ Equivalence -> "<=>"+ ExclusiveOr -> "<~>"+ NegatedConjunction -> "~&"+ NegatedDisjunction -> "~|"+ ReversedImplication -> "<="++-- | The formula in sorted or unsorted first-order logic.+-- Syntactically, the difference between sorted and unsorted formulas is that+-- quantified variables in the former might be annotated with their respective+-- sorts. The type parameter @s@ represents the sort annotation - it is empty+-- for unsorted logic and non-empty for sorted logic.+data FirstOrder s+ = Atomic Literal+ | Negated (FirstOrder s)+ | Connected (FirstOrder s) Connective (FirstOrder s)+ | Quantified Quantifier (NonEmpty (Var, s)) (FirstOrder s)+ deriving (Eq, Show, Ord, Functor, Traversable, Foldable)++-- | A smart constructor for 'Quantified' - constructs a quantified first-order+-- formula with a possibly empty list of variables under the quantifier. If the+-- provided list is empty, the underlying formula is returned instead.+quantified :: Quantifier -> [(Var, s)] -> FirstOrder s -> FirstOrder s+quantified q vs f+ | Just vs' <- nonEmpty vs = Quantified q vs' f+ | otherwise = f++-- | The (empty) sort annotation in unsorted first-order logic.+newtype Unsorted = Unsorted ()+ deriving (Eq, Show, Ord)++-- | The formula in unsorted first-order logic.+type UnsortedFirstOrder = FirstOrder Unsorted++-- | The sort annotation in sorted first-order logic. The TPTP language allows+-- a sort annotation to be omitted, in such case the sort of the variable is+-- assumed to be @$i@.+newtype Sorted s = Sorted (Maybe s)+ deriving (Eq, Show, Ord, Functor, Traversable, Foldable)++-- | An alias for 'MonomorphicFirstOrder'.+type SortedFirstOrder = MonomorphicFirstOrder++-- | The formula in sorted monomorphic first-order logic.+type MonomorphicFirstOrder = FirstOrder (Sorted (Name Sort))++-- | The marker of quantified sort.+newtype QuantifiedSort = QuantifiedSort ()+ deriving (Eq, Show, Ord)++-- | The formula in sorted polymorphic first-order logic.+type PolymorphicFirstOrder = FirstOrder (Sorted (Either QuantifiedSort TFF1Sort))++-- | Attempt to monomorphize a polymorphic sorted first-order formula.+-- This function succeeds iff each of the quantifiers only uses sort+-- constructors with zero arity.+monomorphizeFirstOrder :: PolymorphicFirstOrder -> Maybe MonomorphicFirstOrder+monomorphizeFirstOrder = traverse . traverse+ $ either (const Nothing) monomorphizeTFF1Sort+++-- * Units++-- | The formula in either of the supported TPTP languages.+data Formula+ = CNF Clause+ | FOF UnsortedFirstOrder+ | TFF0 MonomorphicFirstOrder+ | TFF1 PolymorphicFirstOrder+ deriving (Eq, Show, Ord)++-- | The TPTP language of a given TPTP formula.+formulaLanguage :: Formula -> Language+formulaLanguage = \case+ CNF{} -> CNF_+ FOF{} -> FOF_+ TFF0{} -> TFF_+ TFF1{} -> TFF_++-- | The predefined role of a formula in a derivation. Theorem provers might+-- introduce other roles.+data Role+ = Axiom+ | Hypothesis+ | Definition+ | Assumption+ | Lemma+ | Theorem+ | Corollary+ | Conjecture+ | NegatedConjecture+ | Plain+ | FiDomain+ | FiFunctors+ | FiPredicates+ | Unknown+ deriving (Eq, Show, Ord, Enum, Bounded)++instance Named Role where+ name = \case+ Axiom -> "axiom"+ Hypothesis -> "hypothesis"+ Definition -> "definition"+ Assumption -> "assumption"+ Lemma -> "lemma"+ Theorem -> "theorem"+ Corollary -> "corollary"+ Conjecture -> "conjecture"+ NegatedConjecture -> "negated_conjecture"+ Plain -> "plain"+ FiDomain -> "fi_domain"+ FiFunctors -> "fi_functors"+ FiPredicates -> "fi_predicates"+ Unknown -> "unknown"++-- | The logical declaration.+data Declaration+ = Sort Atom Integer+ -- ^ Introduction of a sort contructor. The non-negative integer argument+ -- denotes the arity of the constructor. A constructor with zero arity is+ -- simply a sort.+ | Typing Atom Type+ -- ^ Assignment of a type to a symbol.+ | Formula (Reserved Role) Formula+ -- ^ Logical formula marked with its role.+ deriving (Eq, Show, Ord)++-- | The TPTP language of a given TPTP declaration.+declarationLanguage :: Declaration -> Language+declarationLanguage = \case+ Sort{} -> TFF_+ Typing{} -> TFF_+ Formula _ f -> formulaLanguage f++-- | The name of a unit - either an atom or an integer.+type UnitName = Either Atom Integer++-- | The unit of the TPTP input.+data Unit+ = Include Atom (Maybe (NonEmpty UnitName))+ -- ^ The @include@ statement.+ | Unit UnitName Declaration (Maybe Annotation)+ -- ^ The named and possibly annotated logical declaration.+ deriving (Eq, Show, Ord)++-- | The TPTP input - zero or more TPTP units.+newtype TPTP = TPTP {+ units :: [Unit]+} deriving (Eq, Show, Ord)+++-- * Annotations++-- | The marking of the way a formula is introduced in a TSTP proof.+-- TPTP recognizes several standard intros and theorem proving systems might use+-- other ones.+data Intro+ = ByDefinition+ | ByAxiomOfChoice+ | ByTautology+ | ByAssumption+ deriving (Eq, Show, Ord, Enum, Bounded)++instance Named Intro where+ name = \case+ ByDefinition -> "definition"+ ByAxiomOfChoice -> "axiom_of_choice"+ ByTautology -> "tautology"+ ByAssumption -> "assumption"++-- | The source of a unit in a TSTP proof. Most commonly a formula is either+-- defined in a 'File' or is the result of an 'Inference'.+data Source+ = File Atom (Maybe UnitName)+ | Theory Atom (Maybe [Info])+ | Creator Atom (Maybe [Info])+ | Introduced (Reserved Intro) (Maybe [Info])+ | Inference Atom [Info] [Parent]+ | UnitSource UnitName+ | UnknownSource+ deriving (Eq, Show, Ord)++-- | The status of an inference.+-- See <http://www.tptp.org/Seminars/SZSOntologies/Summary.html The SZS Ontologies>+-- for details.+data Status+ = SUC | UNP | SAP | ESA | SAT | FSA | THM | EQV | TAC | WEC | ETH | TAU | WTC+ | WTH | CAX | SCA | TCA | WCA | CUP | CSP | ECS | CSA | CTH | CEQ | UNC | WCC+ | ECT | FUN | UNS | WUC | WCT | SCC | UCA | NOC+ deriving (Eq, Show, Ord, Enum, Bounded)++instance Named Status where+ name = \case+ SUC -> "suc"+ UNP -> "unp"+ SAP -> "sap"+ ESA -> "esa"+ SAT -> "sat"+ FSA -> "fsa"+ THM -> "thm"+ EQV -> "eqv"+ TAC -> "tac"+ WEC -> "wec"+ ETH -> "eth"+ TAU -> "tau"+ WTC -> "wtc"+ WTH -> "wth"+ CAX -> "cax"+ SCA -> "sca"+ TCA -> "tca"+ WCA -> "wca"+ CUP -> "cup"+ CSP -> "csp"+ ECS -> "ecs"+ CSA -> "csa"+ CTH -> "cth"+ CEQ -> "ceq"+ UNC -> "unc"+ WCC -> "wcc"+ ECT -> "ect"+ FUN -> "fun"+ UNS -> "uns"+ WUC -> "wuc"+ WCT -> "wct"+ SCC -> "scc"+ UCA -> "uca"+ NOC -> "noc"++-- | The parent of a formula in an inference.+data Parent = Parent Source [Info]+ deriving (Eq, Show, Ord)++-- | An expression is either a formula or a term.+-- Expressions occur in TSTP proofs.+data Expression+ = Logical Formula+ | Term Term+ deriving (Eq, Show, Ord)++-- | The information about a formula.+data Info+ = Description Atom+ | Iquote Atom+ | Status (Reserved Status)+ | Assumptions (NonEmpty UnitName)+ | NewSymbols Atom [Either Var Atom]+ | Refutation Atom+ | Expression Expression+ | Bind Var Expression+ | Application Atom [Info]+ | InfoNumber Number+ | Infos [Info]+ deriving (Eq, Show, Ord)++-- | The annotation of a unit. Most commonly, annotations are attached to units+-- in TSTP proofs.+type Annotation = (Source, Maybe [Info])
+ src/Data/TPTP/Parse/Combinators.hs view
@@ -0,0 +1,460 @@+{-# LANGUAGE OverloadedStrings #-}+{-# LANGUAGE LambdaCase #-}++-- |+-- Module : Data.TPTP.Parse.Combinators+-- Description : Parser combinators for the TPTP language.+-- Copyright : (c) Evgenii Kotelnikov, 2019+-- License : GPL-3+-- Maintainer : evgeny.kotelnikov@gmail.com+-- Stability : experimental+--++module Data.TPTP.Parse.Combinators (+ -- * Whitespace+ whitespace,++ -- * Names+ atom,+ var,+ distinctObject,+ function,+ predicate,++ -- * Sorts and types+ sort,+ tff1Sort,+ type_,++ -- * First-order logic+ number,+ term,+ literal,+ clause,+ unsortedFirstOrder,+ sortedFirstOrder,+ monomorphicFirstOrder,+ polymorphicFirstOrder,++ -- * Units+ unit,+ tptp,++ -- * Annotations+ intro,+ parent,+ source,+ info+) where++import Control.Applicative ((<|>), optional)++import Data.Attoparsec.Text as Atto hiding (Number, number)+import Data.Char (isAscii, isAsciiLower, isAsciiUpper, isDigit, isPrint)+import Data.Function (on)+import Data.Functor (($>))+import Data.List (sortBy, genericLength)+import Data.List.NonEmpty (NonEmpty)+import qualified Data.List.NonEmpty as NEL (fromList, toList)++import qualified Data.Scientific as Sci (base10Exponent, coefficient)++import Data.Text (Text)+import qualified Data.Text as Text (pack, unpack, cons)++import Data.TPTP hiding (name, clause)+import qualified Data.TPTP as TPTP (name)+++-- * Helper functions++-- | Consume a single line comment - characters between @%@ and newline.+comment :: Parser ()+comment = char '%' *> skipWhile (not . isEndOfLine)+ *> (endOfLine <|> endOfInput)+ <?> "comment"++-- | Consume a block comments - characters between /* and */.+blockComment :: Parser ()+blockComment = string "/*" *> bc <?> "block comment"+ where+ bc = skipWhile (/= '*') *> (string "*/" $> () <|> bc)++-- | Consume white space and trailing comments.+whitespace :: Parser ()+whitespace = skipSpace *> skipMany ((comment <|> blockComment) *> skipSpace)+ <?> "whitespace"++-- | @lexeme@ makes a given parser consume trailing whitespace. This function is+-- needed because off-the-shelf attoparsec parsers do not do it.+lexeme :: Parser a -> Parser a+lexeme p = p <* whitespace+{-# INLINE lexeme #-}++-- | Parse an unsigned integer.+integer :: Parser Integer+integer = lexeme decimal <?> "integer"+{-# INLINE integer #-}++token :: Text -> Parser Text+token t = lexeme (string t) <?> "token " ++ Text.unpack t+{-# INLINE token #-}++op :: Char -> Parser Char+op c = lexeme (char c) <?> "operator " ++ [c]+{-# INLINE op #-}++parens :: Parser a -> Parser a+parens p = op '(' *> p <* op ')' <?> "parens"+{-# INLINE parens #-}++optionalParens :: Parser a -> Parser a+optionalParens p = parens p <|> p+{-# INLINE optionalParens #-}++brackets :: Parser a -> Parser a+brackets p = op '[' *> p <* op ']' <?> "brackets"+{-# INLINE brackets #-}++bracketList :: Parser a -> Parser [a]+bracketList p = brackets (p `sepBy` op ',') <?> "bracket list"+{-# INLINE bracketList #-}++bracketList1 :: Parser a -> Parser (NonEmpty a)+bracketList1 p = NEL.fromList <$> brackets (p `sepBy1` op ',')+ <?> "bracket list 1"+{-# INLINE bracketList1 #-}++application :: Parser f -> Parser a -> Parser (f, [a])+application f a = (,) <$> f <*> option [] (parens (a `sepBy1` op ','))+{-# INLINE application #-}++labeled :: Text -> Parser a -> Parser a+labeled l p = token l *> parens p+{-# INLINE labeled #-}++comma :: Parser a -> Parser a+comma p = op ',' *> p+{-# INLINE comma #-}++maybeP :: Parser a -> Parser (Maybe a)+maybeP = optional . comma+{-# INLINE maybeP #-}++enum :: (Named a, Enum a, Bounded a) => Parser a+enum = choice+ $ fmap (\(n, c) -> token n $> c <?> "reserved " ++ Text.unpack n)+ $ sortBy (flip compare `on` fst)+ $ fmap (\c -> (TPTP.name c, c)) [minBound..]+++-- * Parser combinators++-- ** Names++isAlphaNumeric :: Char -> Bool+isAlphaNumeric c = isAsciiLower c || isAsciiUpper c || isDigit c || c == '_'++isAsciiPrint :: Char -> Bool+isAsciiPrint c = isAscii c && isPrint c++lowerWord, upperWord :: Parser Text+lowerWord = Text.cons <$> satisfy isAsciiLower <*> Atto.takeWhile isAlphaNumeric+upperWord = Text.cons <$> satisfy isAsciiUpper <*> Atto.takeWhile isAlphaNumeric++quoted :: Char -> Parser Text+quoted q = Text.pack <$> (char q *> manyTill escaped (char q))+ <?> "quoted " ++ [q]+ where+ escaped = char '\\' *> (char q $> q <|> char '\\' $> '\\')+ <|> satisfy isAsciiPrint++-- | Parse an atomic word. Single-quoted atoms are parsed without the single+-- quotes and with the characters @'@ and @\\@ unescaped.+atom :: Parser Atom+atom = Atom <$> lexeme (quoted '\'' <|> lowerWord) <?> "atom"+{-# INLINE atom #-}++-- | Parse a variable.+var :: Parser Var+var = Var <$> lexeme upperWord <?> "var"+{-# INLINE var #-}++-- | Parse a distinct object. Double quotes are not preserved and the characters+-- @'@ and @\\@ are unescaped.+distinctObject :: Parser DistinctObject+distinctObject = DistinctObject <$> lexeme (quoted '"') <?> "distinct object"+{-# INLINE distinctObject #-}++-- | Parse a reserved word.+reserved :: (Named a, Enum a, Bounded a) => Parser (Reserved a)+reserved = extended <$> lexeme lowerWord <?> "reserved"+{-# INLINE reserved #-}++name :: (Named a, Enum a, Bounded a) => Parser (Name a)+name = Reserved <$> (char '$' *> reserved)+ <|> Defined <$> atom+ <?> "name"++-- | Parser a function name.+function :: Parser (Name Function)+function = name <?> "function"+{-# INLINE function #-}++-- | Parse a predicate name.+predicate :: Parser (Name Predicate)+predicate = name <?> "predicate"+{-# INLINE predicate #-}+++-- ** Sorts and typess++-- | Parse a sort.+sort :: Parser (Name Sort)+sort = name <?> "sort"+{-# INLINE sort #-}++-- | Parse a sort in sorted polymorphic logic.+tff1Sort :: Parser TFF1Sort+tff1Sort = SortVariable <$> var+ <|> uncurry TFF1Sort <$> application sort tff1Sort+ <?> "tff1 sort"++mapping :: Parser a -> Parser ([a], a)+mapping s = (,) <$> option [] (args <* op '>') <*> s+ where+ args = fmap (:[]) s <|> parens (s `sepBy1` op '*')++-- | Parse a type.+type_ :: Parser Type+type_ = uncurry . tff1Type+ <$> (maybe [] NEL.toList <$> optional prefix) <*> matrix+ <?> "type"+ where+ prefix = token "!>" *> bracketList1 sortVar <* op ':'+ sortVar = var <* op ':' <* token "$tType"+ matrix = optionalParens (mapping tff1Sort)+++-- ** First-order logic++-- | Parse a number.+number :: Parser Number+number = RationalConstant <$> signed integer <* char '/' <*> integer+ <|> real <$> lexeme scientific+ <?> "number"+ where+ real n+ | Sci.base10Exponent n == 0 = IntegerConstant (Sci.coefficient n)+ | otherwise = RealConstant n++-- | Parse a term.+term :: Parser Term+term = parens term+ <|> uncurry Function <$> application function term+ <|> Variable <$> var+ <|> Number <$> number+ <|> DistinctTerm <$> distinctObject+ <?> "term"++-- | Parse the equality and the unequality sign.+eq :: Parser Sign+eq = enum <?> "eq"+{-# INLINE eq #-}++-- | Parse a literal.+literal :: Parser Literal+literal = parens literal+ <|> Equality <$> term <*> eq <*> term+ <|> uncurry Predicate <$> application predicate term+ <?> "literal"++-- | Parse the negation sign.+sign :: Parser Sign+sign = option Positive (op '~' $> Negative)+{-# INLINE sign #-}++-- | Parse a signed literal.+signedLiteral :: Parser (Sign, Literal)+signedLiteral = (,) <$> sign <*> literal <?> "signed literal"+{-# INLINE signedLiteral #-}++-- | Parse a clause.+clause :: Parser Clause+clause = parens clause+ <|> Clause . NEL.fromList <$> signedLiteral `sepBy1` op '|'+ <?> "clause"++-- | Parse a quantifier.+quantifier :: Parser Quantifier+quantifier = enum <?> "quantifier"+{-# INLINE quantifier #-}++-- | Parse a logical connective.+connective :: Parser Connective+connective = enum <?> "connective"+{-# INLINE connective #-}++-- | Given a parser for sort annotations, parse a formula in first-order logic.+firstOrder :: Parser s -> Parser (FirstOrder s)+firstOrder p = do+ f <- unitary+ option f (Connected f <$> connective <*> firstOrder p)+ where+ unitary = parens (firstOrder p)+ <|> Atomic <$> literal+ <|> Quantified <$> quantifier <*> vs <* op ':' <*> unitary+ <|> Negated <$> (op '~' *> unitary)+ <?> "unitary first order"++ vs = bracketList1 $ (,) <$> var <*> p++-- | Parse a formula in unsorted first-order logic.+unsortedFirstOrder :: Parser UnsortedFirstOrder+unsortedFirstOrder = firstOrder unsorted+ where unsorted = pure (Unsorted ()) <?> "unsorted"++sorted :: Parser s -> Parser (Sorted s)+sorted s = Sorted <$> optional (op ':' *> s) <?> "sorted"++-- | An alias for 'monomorphicFirstOrder'.+sortedFirstOrder :: Parser SortedFirstOrder+sortedFirstOrder = monomorphicFirstOrder++-- | Parse a formula in sorted monomorphic first-order logic.+monomorphicFirstOrder :: Parser MonomorphicFirstOrder+monomorphicFirstOrder = firstOrder (sorted sort) <?> "tff0"++quantifiedSort :: Parser QuantifiedSort+quantifiedSort = token "$tType" $> QuantifiedSort ()++-- | Parse a formula in sorted polymorphic first-order logic.+polymorphicFirstOrder :: Parser PolymorphicFirstOrder+polymorphicFirstOrder = firstOrder (sorted (eitherP quantifiedSort tff1Sort))+ <?> "tff1"+++-- ** Units++-- | Parse a formula in a given TPTP language.+formula :: Language -> Parser Formula+formula = \case+ CNF_ -> CNF <$> clause <?> "cnf"+ FOF_ -> FOF <$> unsortedFirstOrder <?> "fof"+ TFF_ -> tff <$> polymorphicFirstOrder <?> "tff"+ where+ tff f = case monomorphizeFirstOrder f of+ Just f' -> TFF0 f'+ Nothing -> TFF1 f++-- | Parse a formula role.+role :: Parser (Reserved Role)+role = reserved <?> "role"+{-# INLINE role #-}++-- | Parse the name of a TPTP language.+language :: Parser Language+language = enum <?> "language"+{-# INLINE language #-}++-- | Parse a TPTP declaration in a given language.+declaration :: Language -> Parser Declaration+declaration l = token "type" *> comma (optionalParens typeDeclaration)+ <|> Formula <$> role <*> comma (formula l)+ <?> "declaration"++-- | Parse a declaration with the @type@ role - either a typing relation or+-- a sort declaration.+typeDeclaration :: Parser Declaration+typeDeclaration = Sort <$> atom <* op ':' <*> arity+ <|> Typing <$> atom <* op ':' <*> type_+ <?> "type declaration"+ where+ arity = genericLength . fst <$> mapping (token "$tType")++-- | Parse a unit name.+unitName :: Parser (Either Atom Integer)+unitName = eitherP atom (signed integer) <?> "unit name"+{-# INLINE unitName #-}++-- | Parse a list of unit names.+unitNames :: Parser (NonEmpty UnitName)+unitNames = bracketList1 unitName <?> "unit names"+{-# INLINE unitNames #-}++-- | Parse an @include@ statement.+include :: Parser Unit+include = labeled "include" (Include <$> atom <*> maybeP unitNames) <* op '.'+ <?> "include"++-- | Parse an annotated unit.+annotatedUnit :: Parser Unit+annotatedUnit = do+ l <- language+ let n = unitName+ let d = declaration l+ let a = maybeP annotation+ parens (Unit <$> n <*> comma d <*> a) <* op '.'+ <?> "annotated unit"++-- | Parse a TPTP unit.+unit :: Parser Unit+unit = include <|> annotatedUnit <?> "unit"++-- | Parse a TPTP input.+tptp :: Parser TPTP+tptp = TPTP <$> manyTill unit endOfInput <?> "derivation"+++-- ** Annotations++-- | Parse an introduction marking.+intro :: Parser Intro+intro = enum <?> "intro"+{-# INLINE intro #-}++-- | Parse a unit of information about a formula.+info :: Parser Info+info = labeled "description" (Description <$> atom)+ <|> labeled "iquote" (Iquote <$> atom)+ <|> labeled "status" (Status <$> reserved)+ <|> labeled "assumptions" (Assumptions <$> unitNames)+ <|> labeled "refutation" (Refutation <$> atom)+ <|> labeled "new_symbols" (NewSymbols <$> atom <*> comma symbols)+ <|> labeled "bind" (Bind <$> var <*> comma expr)+ <|> Expression <$> expr+ <|> uncurry Application <$> application atom info+ <|> InfoNumber <$> number+ <|> Infos <$> infos+ where+ symbols = bracketList (eitherP var atom)++infos :: Parser [Info]+infos = bracketList info <?> "infos"+{-# INLINE infos #-}++-- | Parse and expression+expr :: Parser Expression+expr = char '$' *> (labeled "fot" (Term <$> term)+ <|> Logical <$> (language >>= parens . formula))+ <?> "expression"++-- | Parse a parent.+parent :: Parser Parent+parent = Parent <$> source <*> option [] (op ':' *> infos) <?> "parent"++-- | Parse the source of a unit.+source :: Parser Source+source = token "unknown" $> UnknownSource+ <|> labeled "file" (File <$> atom <*> maybeP unitName)+ <|> labeled "theory" (Theory <$> atom <*> maybeP infos)+ <|> labeled "creator" (Creator <$> atom <*> maybeP infos)+ <|> labeled "introduced" (Introduced <$> reserved <*> maybeP infos)+ <|> labeled "inference" (Inference <$> atom <*> comma infos+ <*> comma (bracketList parent))+ <|> UnitSource <$> unitName+ <?> "source"++-- | Parse an annotation.+annotation :: Parser Annotation+annotation = (,) <$> source <*> maybeP infos <?> "annotation"
+ src/Data/TPTP/Parse/Text.hs view
@@ -0,0 +1,54 @@+-- |+-- Module : Data.TPTP.Parse.Text+-- Description : An attoparsec-based parser for the TPTP language.+-- Copyright : (c) Evgenii Kotelnikov, 2019+-- License : GPL-3+-- Maintainer : evgeny.kotelnikov@gmail.com+-- Stability : experimental+--++module Data.TPTP.Parse.Text (+ -- * Runners of parsers for TPTP units+ parseUnit,+ parseUnitOnly,+ parseUnitWith,++ -- * Runners of parsers for TPTP inputs+ parseTPTP,+ parseTPTPOnly,+ parseTPTPWith+) where++import Data.Attoparsec.Text (Result, parse, parseOnly, parseWith, endOfInput)+import Data.Text (Text)++import Data.TPTP (Unit, TPTP)+import Data.TPTP.Parse.Combinators (whitespace, unit, tptp)++-- | Run a parser for a single TPTP unit on 'Text'.+parseUnit :: Text -> Result Unit+parseUnit = parse (whitespace *> unit <* endOfInput)++-- | Run a parser for a single TPTP unit that cannot be resupplied+-- via a 'Data.Attoparsec.Text.Partial' result.+parseUnitOnly :: Text -> Either String Unit+parseUnitOnly = parseOnly (whitespace *> unit <* endOfInput)++-- | Run a parser for a single TPTP unit with an initial input string,+-- and a monadic action that can supply more input if needed.+parseUnitWith :: Monad m => m Text -> Text -> m (Result Unit)+parseUnitWith m = parseWith m (whitespace *> unit <* endOfInput)++-- | Run a parser for a TPTP input on 'Text'.+parseTPTP :: Text -> Result TPTP+parseTPTP = parse (whitespace *> tptp <* endOfInput)++-- | Run a parser for a TPTP input that cannot be resupplied+-- via a 'Data.Attoparsec.Text.Partial' result.+parseTPTPOnly :: Text -> Either String TPTP+parseTPTPOnly = parseOnly (whitespace *> tptp <* endOfInput)++-- | Run a parser for a TPTP input with an initial input string,+-- and a monadic action that can supply more input if needed.+parseTPTPWith :: Monad m => m Text -> Text -> m (Result TPTP)+parseTPTPWith m = parseWith m (whitespace *> tptp <* endOfInput)
+ src/Data/TPTP/Parse/Text/Lazy.hs view
@@ -0,0 +1,30 @@+-- |+-- Module : Data.TPTP.Parse.Text.Lazy+-- Description : An attoparsec-based parser for the TPTP language.+-- Copyright : (c) Evgenii Kotelnikov, 2019+-- License : GPL-3+-- Maintainer : evgeny.kotelnikov@gmail.com+-- Stability : experimental+--++module Data.TPTP.Parse.Text.Lazy (+ -- * Runners of parsers for TPTP units+ parseUnit,++ -- * Runners of parsers for TPTP inputs+ parseTPTP+) where++import Data.Attoparsec.Text.Lazy (Result, parse, endOfInput)+import Data.Text.Lazy (Text)++import Data.TPTP (Unit, TPTP)+import Data.TPTP.Parse.Combinators (whitespace, unit, tptp)++-- | Parse a single TPTP unit from 'Data.Text.Lazy.Text'.+parseUnit :: Text -> Result Unit+parseUnit = parse (whitespace *> unit <* endOfInput)++-- | Parse a TPTP input from 'Data.Text.Lazy.Text'.+parseTPTP :: Text -> Result TPTP+parseTPTP = parse (whitespace *> tptp <* endOfInput)
+ src/Data/TPTP/Pretty.hs view
@@ -0,0 +1,320 @@+{-# OPTIONS_GHC -fno-warn-orphans #-}+{-# LANGUAGE CPP #-}+{-# LANGUAGE LambdaCase #-}+{-# LANGUAGE OverloadedStrings #-}+{-# LANGUAGE FlexibleInstances #-}++-- |+-- Module : Data.TPTP.Pretty+-- Description : Pretty printers for the TPTP language.+-- Copyright : (c) Evgenii Kotelnikov, 2019+-- License : GPL-3+-- Maintainer : evgeny.kotelnikov@gmail.com+-- Stability : experimental+--++module Data.TPTP.Pretty (+ Pretty(..)+) where++import Data.Char (isAsciiLower, isAsciiUpper, isDigit)+import Data.List (genericReplicate)+import Data.List.NonEmpty (NonEmpty)+import qualified Data.List.NonEmpty as NEL (nonEmpty, toList)+import Data.Maybe (maybeToList)+import Data.Text (Text)+import qualified Data.Text as Text (all, head, tail, cons, snoc,+ pack, singleton, replace)++#if __GLASGOW_HASKELL__ >= 803+import Prelude hiding ((<>))+#endif++import Data.TPTP++import Data.Text.Prettyprint.Doc (Doc, Pretty(..), hsep, sep, (<>), (<+>),+ brackets, parens, punctuate, comma, space)+++-- * Helper functions++sepBy :: [Doc ann] -> Doc ann -> Doc ann+sepBy as s = hsep (punctuate s as)++sepBy1 :: NonEmpty (Doc ann) -> Doc ann -> Doc ann+sepBy1 as s = hsep (punctuate s (NEL.toList as))++application :: Pretty f => f -> [Doc ann] -> Doc ann+application f [] = pretty f+application f as = pretty f <> parens (as `sepBy` comma)++bracketList :: Pretty a => [a] -> Doc ann+bracketList as = brackets (fmap pretty as `sepBy` comma)++bracketList1 :: Pretty a => NonEmpty a -> Doc ann+bracketList1 as = brackets (fmap pretty as `sepBy1` comma)+++-- * Names++quoted :: Char -> Text -> Text+quoted q = Text.cons q . flip Text.snoc q+ . Text.replace (Text.singleton q) (Text.pack ['\\', q])+ . Text.replace "\\" "\\\\"++newtype SingleQuoted = SingleQuoted Text+ deriving (Eq, Show, Ord)++instance Pretty SingleQuoted where+ pretty (SingleQuoted t) = pretty (quoted '\'' t)++instance Pretty Atom where+ pretty (Atom s)+ | isLowerWord s = pretty s+ | otherwise = pretty (SingleQuoted s)+ where+ isLowerWord w = isAsciiLower (Text.head w)+ && Text.all isAlphaNum (Text.tail w)+ isAlphaNum c = isAsciiLower c || isAsciiUpper c || isDigit c || c == '_'++instance Pretty Var where+ pretty (Var s) = pretty s++newtype DoubleQuoted = DoubleQuoted Text+ deriving (Eq, Show, Ord)++instance Pretty DoubleQuoted where+ pretty (DoubleQuoted t) = pretty (quoted '"' t)++instance Pretty DistinctObject where+ pretty (DistinctObject s) = pretty (DoubleQuoted s)++newtype DollarWord = DollarWord Text+ deriving (Eq, Show, Ord)++instance Pretty DollarWord where+ pretty (DollarWord w) = pretty (Text.cons '$' w)++tType :: DollarWord+tType = DollarWord "tType"++instance Named s => Pretty (Name s) where+ pretty = \case+ Reserved s -> pretty (DollarWord (name s))+ Defined a -> pretty a++instance Named s => Named (Reserved s) where+ name = \case+ Standard s -> name s+ Extended w -> w++instance Named s => Pretty (Reserved s) where+ pretty = pretty . name+++-- * Sorts and types++instance Pretty TFF1Sort where+ pretty = \case+ SortVariable v -> pretty v+ TFF1Sort f ss -> application f (fmap pretty ss)++prettyMapping :: Pretty a => [a] -> a -> Doc ann+prettyMapping as r = args <> pretty r+ where+ args = case as of+ [] -> mempty+ [a] -> pretty a <+> ">" <> space+ _ -> parens (fmap pretty as `sepBy` (space <> "*")) <+> ">" <> space++instance Pretty Type where+ pretty = \case+ Type as r -> prettyMapping as r+ TFF1Type vs as r -> prefix <> if null as then matrix else parens matrix+ where+ prefix = case NEL.nonEmpty vs of+ Nothing -> mempty+ Just vs' -> "!>" <+> brackets (vars vs') <> ":" <> space+ vars vs' = fmap prettyVar vs' `sepBy1` comma+ prettyVar v = pretty v <> ":" <+> pretty tType+ matrix = prettyMapping as r+++-- * First-order logic++instance Pretty Number where+ pretty = \case+ IntegerConstant i -> pretty i+ RationalConstant n d -> pretty n <> "/" <> pretty d+ RealConstant r -> pretty (show r)++instance Pretty Term where+ pretty = \case+ Function f ts -> application f (fmap pretty ts)+ Variable v -> pretty v+ Number i -> pretty i+ DistinctTerm d -> pretty d++instance Pretty Literal where+ pretty = \case+ Predicate p ts -> application p (fmap pretty ts)+ Equality a s b -> pretty a <+> pretty s <+> pretty b++instance Pretty Sign where+ pretty = pretty . name++instance Pretty Clause where+ pretty = \case+ Clause ls -> fmap p ls `sepBy1` (space <> pretty Disjunction)+ where+ p (Positive, l) = pretty l+ p (Negative, l) = "~" <+> parens (pretty l)++instance Pretty Quantifier where+ pretty = pretty . name++instance Pretty Connective where+ pretty = pretty . name++instance Pretty Unsorted where+ pretty = mempty++instance Pretty s => Pretty (Sorted s) where+ pretty = \case+ Sorted Nothing -> mempty+ Sorted (Just s) -> ":" <+> pretty s++instance Pretty QuantifiedSort where+ pretty = const (pretty tType)++instance Pretty (Either QuantifiedSort TFF1Sort) where+ pretty = either pretty pretty++unitary :: FirstOrder s -> Bool+unitary = \case+ Atomic{} -> True+ Negated{} -> True+ Quantified{} -> True+ Connected{} -> False++pretty' :: Pretty s => FirstOrder s -> Doc ann+pretty' f+ | unitary f = pretty f+ | otherwise = parens (pretty f)++instance Pretty s => Pretty (FirstOrder s) where+ pretty = \case+ Atomic l -> pretty l+ Negated f -> "~" <+> pretty' f+ Connected f c g -> pretty'' f <+> pretty c <+> pretty'' g+ where+ -- Nested applications of associative connectives do not require+ -- parenthesis. Otherwise, the connectives do not have precedence+ pretty'' e@(Connected _ c' _) | c' == c && isAssociative c = pretty e+ pretty'' e = pretty' e+ Quantified q vs f -> pretty q <+> vs' <> ":" <+> pretty' f+ where+ vs' = brackets (fmap var vs `sepBy1` comma)+ var (v, s) = pretty v <> pretty s+++-- ** Units++instance Pretty Language where+ pretty = pretty . name++instance Pretty Formula where+ pretty = \case+ CNF c -> pretty c+ FOF f -> pretty f+ TFF0 f -> pretty f+ TFF1 f -> pretty f++instance Pretty UnitName where+ pretty = either pretty pretty+ prettyList = bracketList++instance Pretty Declaration where+ pretty = \case+ Formula _ f -> pretty f+ Typing s t -> pretty s <> ":" <+> pretty t+ Sort s n -> pretty s <> ":" <+> prettyMapping tTypes tType+ where tTypes = genericReplicate n tType++instance Pretty Unit where+ pretty = \case+ Include (Atom f) ns -> application (Atom "include") args <> "."+ where+ args = pretty (SingleQuoted f) : maybeToList (fmap bracketList1 ns)+ Unit nm decl a -> application (declarationLanguage decl) args <> "."+ where+ args = pretty nm : role : pretty decl : ann++ role = case decl of+ Sort{} -> "type"+ Typing{} -> "type"+ Formula r _ -> pretty (name r)++ ann = case a of+ Just (s, i) -> pretty s : maybeToList (fmap prettyList i)+ Nothing -> []++ prettyList us = sep (fmap pretty us)++instance Pretty TPTP where+ pretty (TPTP us) = prettyList us+++-- * Annotations++instance Pretty Intro where+ pretty = pretty . name++instance Pretty Status where+ pretty = pretty . name++instance Pretty (Either Var Atom) where+ pretty = either pretty pretty+ prettyList = bracketList++instance Pretty Info where+ pretty = \case+ Description a -> application (Atom "description") [pretty a]+ Iquote a -> application (Atom "iquote") [pretty a]+ Status s -> application (Atom "status") [pretty s]+ Assumptions u -> application (Atom "assumptions") [bracketList1 u]+ NewSymbols n ss -> application (Atom "new_symbols") [pretty n, prettyList ss]+ Refutation a -> application (Atom "refutation") [pretty a]+ Bind v e -> application (Atom "bind") [pretty v, pretty e]+ Application f as -> application f (fmap pretty as)+ Expression e -> pretty e+ InfoNumber n -> pretty n+ Infos is -> prettyList is++ prettyList = bracketList++instance Pretty Expression where+ pretty = \case+ Logical f -> application (DollarWord . name $ formulaLanguage f) [pretty f]+ Term t -> application (DollarWord "fot") [pretty t]++instance Pretty Parent where+ pretty = \case+ Parent s [] -> pretty s+ Parent s gts -> pretty s <> ":" <> prettyList gts+ prettyList = bracketList++instance Pretty Source where+ pretty = \case+ UnitSource un -> pretty un+ UnknownSource -> "unknown"+ File (Atom n) i -> source "file" (SingleQuoted n) (pretty <$> i)+ Theory n i -> source "theory" n (prettyList <$> i)+ Creator n i -> source "creator" n (prettyList <$> i)+ Introduced n i -> source "introduced" n (prettyList <$> i)+ Inference n i ps ->+ application (Atom "inference") [pretty n, pretty i, prettyList ps]+ where+ source f n i = application (Atom f) (pretty n : maybeToList i)++ prettyList = bracketList
+ test-data/tptp/cnf/ALG001-0.ax view
@@ -0,0 +1,144 @@+%--------------------------------------------------------------------------+% File : ALG001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Algebra (Abstract)+% Axioms : Abstract algebra axioms, based on Godel set theory+% Version : [BL+86] axioms.+% English :++% Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:+% : [McC92] McCune (1992), Email to G. Sutcliffe+% Source : [McC92]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 24 ( 7 non-Horn; 0 unit; 17 RR)+% Number of atoms : 66 ( 12 equality)+% Maximal clause size : 5 ( 3 average)+% Number of predicates : 9 ( 0 propositional; 2-4 arity)+% Number of functors : 11 ( 0 constant; 2-4 arity)+% Number of variables : 74 ( 4 singleton)+% Maximal term depth : 4 ( 1 average)+% SPC : ++% Comments : Requires SET003-0.ax+%--------------------------------------------------------------------------+%----Definition of associative system+cnf(associative_system1,axiom,+ ( ~ associative(Xs,Xf)+ | ~ member(X,Xs)+ | ~ member(Y,Xs)+ | ~ member(Z,Xs)+ | apply_to_two_arguments(Xf,apply_to_two_arguments(Xf,X,Y),Z) = apply_to_two_arguments(Xf,X,apply_to_two_arguments(Xf,Y,Z)) )).++cnf(associative_system2,axiom,+ ( associative(Xs,Xf)+ | member(f34(Xs,Xf),Xs) )).++cnf(associative_system3,axiom,+ ( associative(Xs,Xf)+ | member(f35(Xs,Xf),Xs) )).++cnf(associative_system4,axiom,+ ( associative(Xs,Xf)+ | member(f36(Xs,Xf),Xs) )).++cnf(associative_system5,axiom,+ ( associative(Xs,Xf)+ | apply_to_two_arguments(Xf,apply_to_two_arguments(Xf,f34(Xs,Xf),f35(Xs,Xf)),f36(Xs,Xf)) != apply_to_two_arguments(Xf,f34(Xs,Xf),apply_to_two_arguments(Xf,f35(Xs,Xf),f36(Xs,Xf))) )).++%----Definition of identity (left and right)+cnf(identity1,axiom,+ ( ~ identity(Xs,Xf,Xe)+ | member(Xe,Xs) )).++cnf(identity2,axiom,+ ( ~ identity(Xs,Xf,Xe)+ | ~ member(X,Xs)+ | apply_to_two_arguments(Xf,Xe,X) = X )).++cnf(identity3,axiom,+ ( ~ identity(Xs,Xf,Xe)+ | ~ member(X,Xs)+ | apply_to_two_arguments(Xf,X,Xe) = X )).++cnf(identity4,axiom,+ ( identity(Xs,Xf,Xe)+ | ~ member(Xe,Xs)+ | member(f37(Xs,Xf,Xe),Xs) )).++cnf(identity5,axiom,+ ( identity(Xs,Xf,Xe)+ | ~ member(Xe,Xs)+ | apply_to_two_arguments(Xf,Xe,f37(Xs,Xf,Xe)) != f37(Xs,Xf,Xe)+ | apply_to_two_arguments(Xf,f37(Xs,Xf,Xe),Xe) != f37(Xs,Xf,Xe) )).++%----Definition of inverse (left and right)+cnf(inverse1,axiom,+ ( ~ inverse(Xs,Xf,Xe,Xg)+ | maps(Xg,Xs,Xs) )).++cnf(inverse2,axiom,+ ( ~ inverse(Xs,Xf,Xe,Xg)+ | ~ member(X,Xs)+ | apply_to_two_arguments(Xf,apply(Xg,X),X) = Xe )).++cnf(inverse3,axiom,+ ( ~ inverse(Xs,Xf,Xe,Xg)+ | ~ member(X,Xs)+ | apply_to_two_arguments(Xf,X,apply(Xg,X)) = Xe )).++cnf(inverse4,axiom,+ ( inverse(Xs,Xf,Xe,Xg)+ | ~ maps(Xg,Xs,Xs)+ | member(f38(Xs,Xf,Xe,Xg),Xs) )).++cnf(inverse5,axiom,+ ( inverse(Xs,Xf,Xe,Xg)+ | ~ maps(Xg,Xs,Xs)+ | apply_to_two_arguments(Xf,apply(Xg,f38(Xs,Xf,Xe,Xg)),f38(Xs,Xf,Xe,Xg)) != Xe+ | apply_to_two_arguments(Xf,f38(Xs,Xf,Xe,Xg),apply(Xg,f38(Xs,Xf,Xe,Xg))) != Xe )).++%----Definition of group+cnf(group1,axiom,+ ( ~ group(Xs,Xf)+ | closed(Xs,Xf) )).++cnf(group2,axiom,+ ( ~ group(Xs,Xf)+ | associative(Xs,Xf) )).++cnf(group3,axiom,+ ( ~ group(Xs,Xf)+ | identity(Xs,Xf,f39(Xs,Xf)) )).++cnf(group4,axiom,+ ( ~ group(Xs,Xf)+ | inverse(Xs,Xf,f39(Xs,Xf),f40(Xs,Xf)) )).++cnf(group5,axiom,+ ( group(Xs,Xf)+ | ~ closed(Xs,Xf)+ | ~ associative(Xs,Xf)+ | ~ identity(Xs,Xf,Xe)+ | ~ inverse(Xs,Xf,Xe,Xg) )).++%----Definition of commutative system+cnf(commutes1,axiom,+ ( ~ commutes(Xs,Xf)+ | ~ member(X,Xs)+ | ~ member(Y,Xs)+ | apply_to_two_arguments(Xf,X,Y) = apply_to_two_arguments(Xf,Y,X) )).++cnf(commutes2,axiom,+ ( commutes(Xs,Xf)+ | member(f41(Xs,Xf),Xs) )).++cnf(commutes3,axiom,+ ( commutes(Xs,Xf)+ | member(f42(Xs,Xf),Xs) )).++cnf(commutes4,axiom,+ ( commutes(Xs,Xf)+ | apply_to_two_arguments(Xf,f41(Xs,Xf),f42(Xs,Xf)) != apply_to_two_arguments(Xf,f42(Xs,Xf),f41(Xs,Xf)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/ANA001-0.ax view
@@ -0,0 +1,90 @@+%--------------------------------------------------------------------------+% File : ANA001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Analysis (Limits)+% Axioms : Analysis (limits) axioms for continuous functions+% Version : [MOW76] axioms.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 14 ( 0 non-Horn; 6 unit; 9 RR)+% Number of atoms : 27 ( 5 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 6 ( 1 constant; 0-2 arity)+% Number of variables : 27 ( 0 singleton)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments : No natural language descriptions are available.+% : "Contributed by W.W. Bledsoe in a private correspondence",+% [MOW76].+%--------------------------------------------------------------------------+%----Axiom 1+cnf(right_identity,axiom,+ ( add(X,n0) = X )).++cnf(left_identity,axiom,+ ( add(n0,X) = X )).++cnf(reflexivity_of_less_than,axiom,+ ( ~ less_than(X,X) )).++%----Less than transitivity+cnf(transitivity_of_less_than,axiom,+ ( ~ less_than(X,Y)+ | ~ less_than(Y,Z)+ | less_than(X,Z) )).++%----Axiom 2+cnf(axiom_2_1,axiom,+ ( ~ less_than(n0,X)+ | ~ less_than(n0,Y)+ | less_than(n0,minimum(X,Y)) )).++cnf(axiom_2_2,axiom,+ ( ~ less_than(n0,X)+ | ~ less_than(n0,Y)+ | less_than(minimum(X,Y),X) )).++cnf(axiom_2_3,axiom,+ ( ~ less_than(n0,X)+ | ~ less_than(n0,Y)+ | less_than(minimum(X,Y),Y) )).++%----Axiom 3+cnf(axiom_3,axiom,+ ( ~ less_than(X,half(Xa))+ | ~ less_than(Y,half(Xa))+ | less_than(add(X,Y),Xa) )).++%----Axiom 4+cnf(c_17,axiom,+ ( ~ less_than(add(absolute(X),absolute(Y)),Xa)+ | less_than(absolute(add(X,Y)),Xa) )).++%----Axiom 5+cnf(axiom_5,axiom,+ ( add(add(X,Y),Z) = add(X,add(Y,Z)) )).++%----Axiom 6+cnf(axiom_6_1,axiom,+ ( add(X,Y) = add(Y,X) )).++cnf(axiom_6_2,axiom,+ ( ~ less_than(n0,Xa)+ | less_than(n0,half(Xa)) )).++%----Axiom 7+cnf(axiom_7,axiom,+ ( ~ less_than(n0,Xa)+ | less_than(n0,half(Xa)) )).++%----Axiom 8+cnf(axiom_8,axiom,+ ( minus(add(X,Y)) = add(minus(X),minus(Y)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/ANA002-0.ax view
@@ -0,0 +1,156 @@+%--------------------------------------------------------------------------+% File : ANA002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Analysis (Limits)+% Axioms : Analysis (limits) axioms for continuous functions+% Version : [Ble90] axioms.+% English :++% Refs : [Ble90] Bledsoe (1990), Challenge Problems in Elementary Calcu+% : [Ble92] Bledsoe (1992), Email to G. Sutcliffe+% Source : [Ble92]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 26 ( 2 non-Horn; 11 unit; 13 RR)+% Number of atoms : 45 ( 6 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 1 constant; 0-2 arity)+% Number of variables : 59 ( 4 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Based on the theorem in calculus that the sum of two continuous+% functions is continuous.+% : Used some ideas from [SETHEO] to format this.+%--------------------------------------------------------------------------+%----|X + Y| <= |X| + |Y|.+%----Clause 8+cnf(absolute_sum_less_or_equal_sum_of_absolutes1,axiom,+ ( less_or_equal(absolute(add(X,Y)),add(absolute(X),absolute(Y))) )).++%----Clause 8.1+cnf(absolute_sum_less_or_equal_sum_of_absolutes2,axiom,+ ( ~ less_or_equal(add(absolute(X),absolute(Y)),Z)+ | less_or_equal(absolute(add(X,Y)),Z) )).++%----Properties of minimum.+%----Clause 9+cnf(minimum1,axiom,+ ( ~ less_or_equal(X,Y)+ | minimum(X,Y) = X )).++%----Clause 9.1+cnf(minimum2,axiom,+ ( less_or_equal(minimum(X,Y),X) )).++%----Clause 9.11+cnf(minimum3,axiom,+ ( ~ less_or_equal(Z,minimum(X,Y))+ | less_or_equal(Z,X) )).++%----Clause 9.2+cnf(minimum4,axiom,+ ( ~ less_or_equal(X,Y)+ | less_or_equal(X,minimum(X,Y)) )).++%----Clause 10+cnf(minimum5,axiom,+ ( ~ less_or_equal(Y,X)+ | minimum(X,Y) = Y )).++%----Clause 10.1+cnf(minimum6,axiom,+ ( less_or_equal(minimum(X,Y),Y) )).++%----Clause 10.11+cnf(minimum7,axiom,+ ( ~ less_or_equal(Z,minimum(X,Y))+ | less_or_equal(Z,Y) )).++%----Clause 10.2+cnf(minimum8,axiom,+ ( ~ less_or_equal(Y,X)+ | less_or_equal(Y,minimum(X,Y)) )).++%----Clause 10.3+cnf(minimum9,axiom,+ ( less_or_equal(X,n0)+ | less_or_equal(Y,n0)+ | ~ less_or_equal(minimum(X,Y),n0) )).++%----Properties of half.+%----Clause 11+cnf(half_plus_half_is_whole,axiom,+ ( add(half(X),half(X)) = X )).++%----Clause 11.1+cnf(half_plus_half_less_or_equal_whole,axiom,+ ( less_or_equal(add(half(X),half(X)),X) )).++%----Clause 11.2+cnf(whole_less_or_equal_half_plus_half,axiom,+ ( less_or_equal(X,add(half(X),half(X))) )).++%----Clause 11.3+cnf(less_or_equal_sum_of_halves,axiom,+ ( ~ less_or_equal(X,half(Z))+ | ~ less_or_equal(Y,half(Z))+ | less_or_equal(add(X,Y),Z) )).++%----Clause 12+cnf(zero_and_half,axiom,+ ( less_or_equal(X,n0)+ | ~ less_or_equal(half(X),n0) )).++%----Properties of add.+%----Clause 13+cnf(add_to_both_sides_of_less_equal1,axiom,+ ( ~ less_or_equal(X,Y)+ | less_or_equal(add(X,Z),add(Y,Z)) )).++%----Clause 13.1+cnf(add_to_both_sides_of_less_equal2,axiom,+ ( ~ less_or_equal(X,Y)+ | ~ less_or_equal(Z,W)+ | less_or_equal(add(X,Z),add(Y,W)) )).++%----Clause 14+cnf(commutativity_of_less_or_equal,axiom,+ ( less_or_equal(X,Y)+ | less_or_equal(Y,X) )).++%----Clause 15+cnf(transitivity_of_less_or_equal,axiom,+ ( ~ less_or_equal(X,Y)+ | ~ less_or_equal(Y,Z)+ | less_or_equal(X,Z) )).++%----Clause 15.1 omitted - it's the same as Clause 15++%----Clause 16+cnf(commutativity_of_add,axiom,+ ( add(X,Y) = add(Y,X) )).++%----Clause 16_1+cnf(commutativity_of_add_for_less_or_equal,axiom,+ ( less_or_equal(add(X,Y),add(Y,X)) )).++%----Clause 17+cnf(associativity_of_add,axiom,+ ( add(add(X,Y),Z) = add(X,add(Y,Z)) )).++%----Clause 17_1+cnf(associativity_of_add_for_less_or_equal1,axiom,+ ( less_or_equal(add(add(X,Y),Z),add(X,add(Y,Z))) )).++%----Clause 17_2+cnf(associativity_of_add_for_less_or_equal2,axiom,+ ( less_or_equal(add(X,add(Y,Z)),add(add(X,Y),Z)) )).++%----Clause 18+cnf(equal_implies_less_or_equal,axiom,+ ( X != Y+ | less_or_equal(X,Y) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/ANA003-0.ax view
@@ -0,0 +1,252 @@+%------------------------------------------------------------------------------+% File : ANA003-0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Analysis+% Axioms : A theory of Big-O notation+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : BigO_simp.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 53 ( 0 non-Horn; 0 unit; 15 RR)+% Number of atoms : 122 ( 0 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 32 ( 0 propositional; 1-3 arity)+% Number of functors : 6 ( 0 constant; 1-3 arity)+% Number of variables : 123 ( 30 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-1.ax+%------------------------------------------------------------------------------+cnf(cls_SetsAndFunctions_Oset__plus__intro2_0,axiom,+ ( ~ class_HOL_Oplus(T_a)+ | ~ c_in(V_b,V_C,T_a)+ | c_in(c_plus(V_a,V_b,T_a),c_SetsAndFunctions_Oelt__set__plus(V_a,V_C,T_a),T_a) )).++cnf(cls_SetsAndFunctions_Oset__plus__intro_0,axiom,+ ( ~ class_HOL_Oplus(T_a)+ | ~ c_in(V_b,V_D,T_a)+ | ~ c_in(V_a,V_C,T_a)+ | c_in(c_plus(V_a,V_b,T_a),c_plus(V_C,V_D,tc_set(T_a)),T_a) )).++cnf(cls_SetsAndFunctions_Oset__plus__mono2_0,axiom,+ ( ~ class_HOL_Oplus(T_a)+ | ~ c_lessequals(V_E,V_F,tc_set(T_a))+ | ~ c_lessequals(V_C,V_D,tc_set(T_a))+ | c_lessequals(c_plus(V_C,V_E,tc_set(T_a)),c_plus(V_D,V_F,tc_set(T_a)),tc_set(T_a)) )).++cnf(cls_SetsAndFunctions_Oset__plus__mono3_0,axiom,+ ( ~ class_HOL_Oplus(T_a)+ | ~ c_in(V_a,V_C,T_a)+ | c_lessequals(c_SetsAndFunctions_Oelt__set__plus(V_a,V_D,T_a),c_plus(V_C,V_D,tc_set(T_a)),tc_set(T_a)) )).++cnf(cls_SetsAndFunctions_Oset__plus__mono4_0,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)+ | ~ c_in(V_a,V_C,T_a)+ | c_lessequals(c_SetsAndFunctions_Oelt__set__plus(V_a,V_D,T_a),c_plus(V_D,V_C,tc_set(T_a)),tc_set(T_a)) )).++cnf(cls_SetsAndFunctions_Oset__plus__mono_0,axiom,+ ( ~ class_HOL_Oplus(T_a)+ | ~ c_lessequals(V_C,V_D,tc_set(T_a))+ | c_lessequals(c_SetsAndFunctions_Oelt__set__plus(V_a,V_C,T_a),c_SetsAndFunctions_Oelt__set__plus(V_a,V_D,T_a),tc_set(T_a)) )).++cnf(cls_SetsAndFunctions_Oset__times__intro2_0,axiom,+ ( ~ class_HOL_Otimes(T_a)+ | ~ c_in(V_b,V_C,T_a)+ | c_in(c_times(V_a,V_b,T_a),c_SetsAndFunctions_Oelt__set__times(V_a,V_C,T_a),T_a) )).++cnf(cls_SetsAndFunctions_Oset__times__intro_0,axiom,+ ( ~ class_HOL_Otimes(T_a)+ | ~ c_in(V_b,V_D,T_a)+ | ~ c_in(V_a,V_C,T_a)+ | c_in(c_times(V_a,V_b,T_a),c_times(V_C,V_D,tc_set(T_a)),T_a) )).++cnf(cls_SetsAndFunctions_Oset__times__mono2_0,axiom,+ ( ~ class_HOL_Otimes(T_a)+ | ~ c_lessequals(V_E,V_F,tc_set(T_a))+ | ~ c_lessequals(V_C,V_D,tc_set(T_a))+ | c_lessequals(c_times(V_C,V_E,tc_set(T_a)),c_times(V_D,V_F,tc_set(T_a)),tc_set(T_a)) )).++cnf(cls_SetsAndFunctions_Oset__times__mono3_0,axiom,+ ( ~ class_HOL_Otimes(T_a)+ | ~ c_in(V_a,V_C,T_a)+ | c_lessequals(c_SetsAndFunctions_Oelt__set__times(V_a,V_D,T_a),c_times(V_C,V_D,tc_set(T_a)),tc_set(T_a)) )).++cnf(cls_SetsAndFunctions_Oset__times__mono4_0,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)+ | ~ c_in(V_a,V_C,T_a)+ | c_lessequals(c_SetsAndFunctions_Oelt__set__times(V_a,V_D,T_a),c_times(V_D,V_C,tc_set(T_a)),tc_set(T_a)) )).++cnf(cls_SetsAndFunctions_Oset__times__mono_0,axiom,+ ( ~ class_HOL_Otimes(T_a)+ | ~ c_lessequals(V_C,V_D,tc_set(T_a))+ | c_lessequals(c_SetsAndFunctions_Oelt__set__times(V_a,V_C,T_a),c_SetsAndFunctions_Oelt__set__times(V_a,V_D,T_a),tc_set(T_a)) )).++cnf(clsarity_fun_10,axiom,+ ( class_OrderedGroup_Ocancel__semigroup__add(tc_fun(T_2,T_1))+ | ~ class_OrderedGroup_Oab__group__add(T_1) )).++cnf(clsarity_fun_11,axiom,+ ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_fun(T_2,T_1))+ | ~ class_OrderedGroup_Oab__group__add(T_1) )).++cnf(clsarity_fun_12,axiom,+ ( class_OrderedGroup_Oab__group__add(tc_fun(T_2,T_1))+ | ~ class_OrderedGroup_Oab__group__add(T_1) )).++cnf(clsarity_fun_13,axiom,+ ( class_OrderedGroup_Osemigroup__mult(tc_fun(T_2,T_1))+ | ~ class_OrderedGroup_Osemigroup__mult(T_1) )).++cnf(clsarity_fun_14,axiom,+ ( class_OrderedGroup_Oab__semigroup__mult(tc_fun(T_2,T_1))+ | ~ class_OrderedGroup_Ocomm__monoid__mult(T_1) )).++cnf(clsarity_fun_15,axiom,+ ( class_OrderedGroup_Omonoid__mult(tc_fun(T_2,T_1))+ | ~ class_OrderedGroup_Ocomm__monoid__mult(T_1) )).++cnf(clsarity_fun_16,axiom,+ ( class_OrderedGroup_Ocomm__monoid__mult(tc_fun(T_2,T_1))+ | ~ class_OrderedGroup_Ocomm__monoid__mult(T_1) )).++cnf(clsarity_fun_17,axiom,+ ( class_Ring__and__Field_Osemiring(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_18,axiom,+ ( class_Ring__and__Field_Ocomm__semiring(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_19,axiom,+ ( class_Ring__and__Field_Osemiring__0(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_2,axiom,+ ( class_HOL_Oplus(tc_fun(T_2,T_1))+ | ~ class_HOL_Oplus(T_1) )).++cnf(clsarity_fun_20,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__0(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_21,axiom,+ ( class_Ring__and__Field_Osemiring__0__cancel(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_22,axiom,+ ( class_Ring__and__Field_Oring(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_23,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_24,axiom,+ ( class_Ring__and__Field_Ocomm__ring(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_25,axiom,+ ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_26,axiom,+ ( class_Ring__and__Field_Osemiring__1(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_27,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__1(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_28,axiom,+ ( class_Ring__and__Field_Osemiring__1__cancel(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_29,axiom,+ ( class_Ring__and__Field_Oring__1(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_3,axiom,+ ( class_HOL_Otimes(tc_fun(T_2,T_1))+ | ~ class_HOL_Otimes(T_1) )).++cnf(clsarity_fun_30,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_31,axiom,+ ( class_Ring__and__Field_Ocomm__ring__1(tc_fun(T_2,T_1))+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) )).++cnf(clsarity_fun_4,axiom,+ ( class_HOL_Ominus(tc_fun(T_2,T_1))+ | ~ class_HOL_Ominus(T_1) )).++cnf(clsarity_fun_5,axiom,+ ( class_HOL_Ozero(tc_fun(T_2,T_1))+ | ~ class_HOL_Ozero(T_1) )).++cnf(clsarity_fun_6,axiom,+ ( class_HOL_Oone(tc_fun(T_2,T_1))+ | ~ class_HOL_Oone(T_1) )).++cnf(clsarity_fun_7,axiom,+ ( class_OrderedGroup_Osemigroup__add(tc_fun(T_2,T_1))+ | ~ class_OrderedGroup_Osemigroup__add(T_1) )).++cnf(clsarity_fun_8,axiom,+ ( class_OrderedGroup_Oab__semigroup__add(tc_fun(T_2,T_1))+ | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) )).++cnf(clsarity_fun_9,axiom,+ ( class_OrderedGroup_Ocomm__monoid__add(tc_fun(T_2,T_1))+ | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) )).++cnf(clsarity_set_10,axiom,+ ( class_OrderedGroup_Osemigroup__mult(tc_set(T_1))+ | ~ class_OrderedGroup_Osemigroup__mult(T_1) )).++cnf(clsarity_set_11,axiom,+ ( class_OrderedGroup_Oab__semigroup__add(tc_set(T_1))+ | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) )).++cnf(clsarity_set_12,axiom,+ ( class_OrderedGroup_Ocomm__monoid__add(tc_set(T_1))+ | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) )).++cnf(clsarity_set_13,axiom,+ ( class_OrderedGroup_Oab__semigroup__mult(tc_set(T_1))+ | ~ class_OrderedGroup_Ocomm__monoid__mult(T_1) )).++cnf(clsarity_set_14,axiom,+ ( class_OrderedGroup_Omonoid__mult(tc_set(T_1))+ | ~ class_OrderedGroup_Ocomm__monoid__mult(T_1) )).++cnf(clsarity_set_15,axiom,+ ( class_OrderedGroup_Ocomm__monoid__mult(tc_set(T_1))+ | ~ class_OrderedGroup_Ocomm__monoid__mult(T_1) )).++cnf(clsarity_set_5,axiom,+ ( class_HOL_Oplus(tc_set(T_1))+ | ~ class_HOL_Oplus(T_1) )).++cnf(clsarity_set_6,axiom,+ ( class_HOL_Otimes(tc_set(T_1))+ | ~ class_HOL_Otimes(T_1) )).++cnf(clsarity_set_7,axiom,+ ( class_HOL_Ozero(tc_set(T_1))+ | ~ class_HOL_Ozero(T_1) )).++cnf(clsarity_set_8,axiom,+ ( class_HOL_Oone(tc_set(T_1))+ | ~ class_HOL_Oone(T_1) )).++cnf(clsarity_set_9,axiom,+ ( class_OrderedGroup_Osemigroup__add(tc_set(T_1))+ | ~ class_OrderedGroup_Osemigroup__add(T_1) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/BOO001-0.ax view
@@ -0,0 +1,42 @@+%--------------------------------------------------------------------------+% File : BOO001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Algebra (Ternary Boolean)+% Axioms : Ternary Boolean algebra (equality) axioms+% Version : [OTTER] (equality) axioms.+% English :++% Refs : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% : [Win82] Winker (1982), Generation and Verification of Finite M+% Source : [OTTER]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 0 RR)+% Number of atoms : 5 ( 5 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 2 ( 0 constant; 1-3 arity)+% Number of variables : 13 ( 2 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : These axioms appear in [Win82], in which ternary_multiply_1 is+% shown to be independant.+% : These axioms are also used in [Wos88], p.222.+%--------------------------------------------------------------------------+cnf(associativity,axiom,+ ( multiply(multiply(V,W,X),Y,multiply(V,W,Z)) = multiply(V,W,multiply(X,Y,Z)) )).++cnf(ternary_multiply_1,axiom,+ ( multiply(Y,X,X) = X )).++cnf(ternary_multiply_2,axiom,+ ( multiply(X,X,Y) = X )).++cnf(left_inverse,axiom,+ ( multiply(inverse(Y),Y,X) = X )).++cnf(right_inverse,axiom,+ ( multiply(X,Y,inverse(Y)) = X )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/BOO002-0.ax view
@@ -0,0 +1,130 @@+%--------------------------------------------------------------------------+% File : BOO002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Boolean Algebra+% Axioms : Boolean algebra axioms+% Version : [MOW76] axioms.+% English :++% Refs : [Whi61] Whitesitt (1961), Boolean Algebra and Its Applications+% : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% Source : [MOW76]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 22 ( 0 non-Horn; 10 unit; 12 RR)+% Number of atoms : 60 ( 2 equality)+% Maximal clause size : 5 ( 3 average)+% Number of predicates : 3 ( 0 propositional; 2-3 arity)+% Number of functors : 5 ( 2 constant; 0-2 arity)+% Number of variables : 82 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+cnf(closure_of_addition,axiom,+ ( sum(X,Y,add(X,Y)) )).++cnf(closure_of_multiplication,axiom,+ ( product(X,Y,multiply(X,Y)) )).++cnf(commutativity_of_addition,axiom,+ ( ~ sum(X,Y,Z)+ | sum(Y,X,Z) )).++cnf(commutativity_of_multiplication,axiom,+ ( ~ product(X,Y,Z)+ | product(Y,X,Z) )).++cnf(additive_identity1,axiom,+ ( sum(additive_identity,X,X) )).++cnf(additive_identity2,axiom,+ ( sum(X,additive_identity,X) )).++cnf(multiplicative_identity1,axiom,+ ( product(multiplicative_identity,X,X) )).++cnf(multiplicative_identity2,axiom,+ ( product(X,multiplicative_identity,X) )).++cnf(distributivity1,axiom,+ ( ~ product(X,Y,V1)+ | ~ product(X,Z,V2)+ | ~ sum(Y,Z,V3)+ | ~ product(X,V3,V4)+ | sum(V1,V2,V4) )).++cnf(distributivity2,axiom,+ ( ~ product(X,Y,V1)+ | ~ product(X,Z,V2)+ | ~ sum(Y,Z,V3)+ | ~ sum(V1,V2,V4)+ | product(X,V3,V4) )).++cnf(distributivity3,axiom,+ ( ~ product(Y,X,V1)+ | ~ product(Z,X,V2)+ | ~ sum(Y,Z,V3)+ | ~ product(V3,X,V4)+ | sum(V1,V2,V4) )).++cnf(distributivity4,axiom,+ ( ~ product(Y,X,V1)+ | ~ product(Z,X,V2)+ | ~ sum(Y,Z,V3)+ | ~ sum(V1,V2,V4)+ | product(V3,X,V4) )).++cnf(distributivity5,axiom,+ ( ~ sum(X,Y,V1)+ | ~ sum(X,Z,V2)+ | ~ product(Y,Z,V3)+ | ~ sum(X,V3,V4)+ | product(V1,V2,V4) )).++cnf(distributivity6,axiom,+ ( ~ sum(X,Y,V1)+ | ~ sum(X,Z,V2)+ | ~ product(Y,Z,V3)+ | ~ product(V1,V2,V4)+ | sum(X,V3,V4) )).++cnf(distributivity7,axiom,+ ( ~ sum(Y,X,V1)+ | ~ sum(Z,X,V2)+ | ~ product(Y,Z,V3)+ | ~ sum(V3,X,V4)+ | product(V1,V2,V4) )).++cnf(distributivity8,axiom,+ ( ~ sum(Y,X,V1)+ | ~ sum(Z,X,V2)+ | ~ product(Y,Z,V3)+ | ~ product(V1,V2,V4)+ | sum(V3,X,V4) )).++cnf(additive_inverse1,axiom,+ ( sum(inverse(X),X,multiplicative_identity) )).++cnf(additive_inverse2,axiom,+ ( sum(X,inverse(X),multiplicative_identity) )).++cnf(multiplicative_inverse1,axiom,+ ( product(inverse(X),X,additive_identity) )).++cnf(multiplicative_inverse2,axiom,+ ( product(X,inverse(X),additive_identity) )).++%-----Well definedness of the operations+cnf(addition_is_well_defined,axiom,+ ( ~ sum(X,Y,U)+ | ~ sum(X,Y,V)+ | U = V )).++cnf(multiplication_is_well_defined,axiom,+ ( ~ product(X,Y,U)+ | ~ product(X,Y,V)+ | U = V )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/BOO003-0.ax view
@@ -0,0 +1,66 @@+%--------------------------------------------------------------------------+% File : BOO003-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Boolean Algebra+% Axioms : Boolean algebra (equality) axioms+% Version : [ANL] (equality) axioms.+% English :++% Refs :+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 14 ( 0 non-Horn; 14 unit; 0 RR)+% Number of atoms : 14 ( 14 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 2 constant; 0-2 arity)+% Number of variables : 24 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+cnf(commutativity_of_add,axiom,+ ( add(X,Y) = add(Y,X) )).++cnf(commutativity_of_multiply,axiom,+ ( multiply(X,Y) = multiply(Y,X) )).++cnf(distributivity1,axiom,+ ( add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) )).++cnf(distributivity2,axiom,+ ( add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) )).++cnf(distributivity3,axiom,+ ( multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) )).++cnf(distributivity4,axiom,+ ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )).++cnf(additive_inverse1,axiom,+ ( add(X,inverse(X)) = multiplicative_identity )).++cnf(additive_inverse2,axiom,+ ( add(inverse(X),X) = multiplicative_identity )).++cnf(multiplicative_inverse1,axiom,+ ( multiply(X,inverse(X)) = additive_identity )).++cnf(multiplicative_inverse2,axiom,+ ( multiply(inverse(X),X) = additive_identity )).++cnf(multiplicative_id1,axiom,+ ( multiply(X,multiplicative_identity) = X )).++cnf(multiplicative_id2,axiom,+ ( multiply(multiplicative_identity,X) = X )).++cnf(additive_id1,axiom,+ ( add(X,additive_identity) = X )).++cnf(additive_id2,axiom,+ ( add(additive_identity,X) = X )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/BOO004-0.ax view
@@ -0,0 +1,48 @@+%--------------------------------------------------------------------------+% File : BOO004-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Boolean Algebra+% Axioms : Boolean algebra (equality) axioms+% Version : [Ver94] (equality) axioms.+% English :++% Refs : [Ver94] Veroff (1994), Problem Set+% Source : [Ver94]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 8 ( 0 non-Horn; 8 unit; 0 RR)+% Number of atoms : 8 ( 8 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 2 constant; 0-2 arity)+% Number of variables : 14 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+cnf(commutativity_of_add,axiom,+ ( add(X,Y) = add(Y,X) )).++cnf(commutativity_of_multiply,axiom,+ ( multiply(X,Y) = multiply(Y,X) )).++cnf(distributivity1,axiom,+ ( add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) )).++cnf(distributivity2,axiom,+ ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )).++cnf(additive_id1,axiom,+ ( add(X,additive_identity) = X )).++cnf(multiplicative_id1,axiom,+ ( multiply(X,multiplicative_identity) = X )).++cnf(additive_inverse1,axiom,+ ( add(X,inverse(X)) = multiplicative_identity )).++cnf(multiplicative_inverse1,axiom,+ ( multiply(X,inverse(X)) = additive_identity )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/CAT001-0.ax view
@@ -0,0 +1,115 @@+%--------------------------------------------------------------------------+% File : CAT001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Category theory+% Axioms : Category theory axioms+% Version : [Mit67] axioms.+% English :++% Refs : [Mit67] Mitchell (1967), Theory of Categories+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 18 ( 0 non-Horn; 6 unit; 12 RR)+% Number of atoms : 45 ( 1 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 4 ( 0 propositional; 1-3 arity)+% Number of functors : 3 ( 0 constant; 1-2 arity)+% Number of variables : 52 ( 5 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----Notice that composition is read as compose(x,y)(G) means x o y, -i.e.+%----x(y(G)). It is a skolem function from -(all x all+%----y, (DEF(x,y) -> exists z (P(x,y,z)))).++%-----Composition is closed when defined+cnf(closure_of_composition,axiom,+ ( ~ defined(X,Y)+ | product(X,Y,compose(X,Y)) )).++%-----Associative property+cnf(associative_property1,axiom,+ ( ~ product(X,Y,Z)+ | defined(X,Y) )).++cnf(associative_property2,axiom,+ ( ~ product(X,Y,Xy)+ | ~ defined(Xy,Z)+ | defined(Y,Z) )).++%-----Special category theory axiom+cnf(category_theory_axiom1,axiom,+ ( ~ product(X,Y,Xy)+ | ~ product(Y,Z,Yz)+ | ~ defined(Xy,Z)+ | defined(X,Yz) )).++cnf(category_theory_axiom2,axiom,+ ( ~ product(X,Y,Xy)+ | ~ product(Xy,Z,Xyz)+ | ~ product(Y,Z,Yz)+ | product(X,Yz,Xyz) )).++cnf(category_theory_axiom3,axiom,+ ( ~ product(Y,Z,Yz)+ | ~ defined(X,Yz)+ | defined(X,Y) )).++cnf(category_theory_axiom4,axiom,+ ( ~ product(Y,Z,Yz)+ | ~ product(X,Y,Xy)+ | ~ defined(X,Yz)+ | defined(Xy,Z) )).++cnf(category_theory_axiom5,axiom,+ ( ~ product(Y,Z,Yz)+ | ~ product(X,Yz,Xyz)+ | ~ product(X,Y,Xy)+ | product(Xy,Z,Xyz) )).++cnf(category_theory_axiom6,axiom,+ ( ~ defined(X,Y)+ | ~ defined(Y,Z)+ | ~ identity_map(Y)+ | defined(X,Z) )).++%-----Properties of domain(x) and codomain(x)+cnf(domain_is_an_identity_map,axiom,+ ( identity_map(domain(X)) )).++cnf(codomain_is_an_identity_map,axiom,+ ( identity_map(codomain(X)) )).++cnf(mapping_from_x_to_its_domain,axiom,+ ( defined(X,domain(X)) )).++cnf(mapping_from_codomain_of_x_to_x,axiom,+ ( defined(codomain(X),X) )).++cnf(product_on_domain,axiom,+ ( product(X,domain(X),X) )).++cnf(product_on_codomain,axiom,+ ( product(codomain(X),X,X) )).++%-----Definition of the identity predicate+cnf(identity1,axiom,+ ( ~ defined(X,Y)+ | ~ identity_map(X)+ | product(X,Y,Y) )).++cnf(identity2,axiom,+ ( ~ defined(X,Y)+ | ~ identity_map(Y)+ | product(X,Y,X) )).++%-----Composition is well defined+cnf(composition_is_well_defined,axiom,+ ( ~ product(X,Y,Z)+ | ~ product(X,Y,W)+ | Z = W )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/CAT002-0.ax view
@@ -0,0 +1,51 @@+%--------------------------------------------------------------------------+% File : CAT002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Category theory+% Axioms : Category theory (equality) axioms+% Version : [Qua89] (equality) axioms.+% English :++% Refs : [Qua89] Quaife (1989), Email to L. Wos+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 7 ( 0 non-Horn; 4 unit; 3 RR)+% Number of atoms : 11 ( 11 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 3 ( 0 constant; 1-2 arity)+% Number of variables : 11 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----Composition is read right-to-left: compose(x,y)(G) means -y(x(G)) The+%----axioms themselves+cnf(codomain_of_domain_is_domain,axiom,+ ( codomain(domain(X)) = domain(X) )).++cnf(domain_of_codomain_is_codomain,axiom,+ ( domain(codomain(X)) = codomain(X) )).++cnf(domain_composition,axiom,+ ( compose(domain(X),X) = X )).++cnf(codomain_composition,axiom,+ ( compose(X,codomain(X)) = X )).++cnf(codomain_domain1,axiom,+ ( codomain(X) != domain(Y)+ | domain(compose(X,Y)) = domain(X) )).++cnf(codomain_domain2,axiom,+ ( codomain(X) != domain(Y)+ | codomain(compose(X,Y)) = codomain(Y) )).++cnf(star_property,axiom,+ ( codomain(X) != domain(Y)+ | codomain(Y) != domain(Z)+ | compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/CAT003-0.ax view
@@ -0,0 +1,118 @@+%--------------------------------------------------------------------------+% File : CAT003-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Category Theory+% Axioms : Category theory axioms+% Version : [Sco79] axioms : Reduced > Complete.+% English :++% Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 17 ( 2 non-Horn; 3 unit; 12 RR)+% Number of atoms : 37 ( 15 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 3 ( 0 propositional; 1-2 arity)+% Number of functors : 4 ( 0 constant; 1-2 arity)+% Number of variables : 31 ( 4 singleton)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments : Axioms simplified by Art Quaife.+%--------------------------------------------------------------------------+%----Non-standard in that E(x) stands for "x exists", i.e. a system for+%----intuitionistic logic. Viewed classically, this can be taken+%----as a partitioning of models M into elements of E and other elements+%----of M; then Scott's quantifiers are relativized to range only over+%----E, whereas free variables range over all of M.+%----Quaife has this written: (this looks really weird, but results from+%----having = here stand for equivalence, and it is a strange fact from+%----Scott's conception that all non-existent things are equivalent. all+%----x all y ((x == y) | E(x) | E(y))).++%-----Restricted equality axioms+cnf(equivalence_implies_existence1,axiom,+ ( ~ equivalent(X,Y)+ | there_exists(X) )).++cnf(equivalence_implies_existence2,axiom,+ ( ~ equivalent(X,Y)+ | X = Y )).++cnf(existence_and_equality_implies_equivalence1,axiom,+ ( ~ there_exists(X)+ | X != Y+ | equivalent(X,Y) )).++%-----Category theory axioms+cnf(domain_has_elements,axiom,+ ( ~ there_exists(domain(X))+ | there_exists(X) )).++cnf(codomain_has_elements,axiom,+ ( ~ there_exists(codomain(X))+ | there_exists(X) )).++cnf(composition_implies_domain,axiom,+ ( ~ there_exists(compose(X,Y))+ | there_exists(domain(X)) )).++cnf(domain_codomain_composition1,axiom,+ ( ~ there_exists(compose(X,Y))+ | domain(X) = codomain(Y) )).++cnf(domain_codomain_composition2,axiom,+ ( ~ there_exists(domain(X))+ | domain(X) != codomain(Y)+ | there_exists(compose(X,Y)) )).++cnf(associativity_of_compose,axiom,+ ( compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) )).++cnf(compose_domain,axiom,+ ( compose(X,domain(X)) = X )).++cnf(compose_codomain,axiom,+ ( compose(codomain(X),X) = X )).++%-----Axioms from Scott proven dependant by Quaife (with OTTER)++%-----Restricted equality axioms+cnf(equivalence_implies_existence3,axiom,+ ( ~ equivalent(X,Y)+ | there_exists(Y) )).++cnf(existence_and_equality_implies_equivalence2,axiom,+ ( ~ there_exists(X)+ | ~ there_exists(Y)+ | X != Y+ | equivalent(X,Y) )).++%-----Category theory axioms+cnf(composition_implies_codomain,axiom,+ ( ~ there_exists(compose(X,Y))+ | there_exists(codomain(X)) )).++%-----Axiom of indiscernibles+cnf(indiscernibles1,axiom,+ ( there_exists(f1(X,Y))+ | X = Y )).++cnf(indiscernibles2,axiom,+ ( X = f1(X,Y)+ | Y = f1(X,Y)+ | X = Y )).++cnf(indiscernibles3,axiom,+ ( X != f1(X,Y)+ | Y != f1(X,Y)+ | X = Y )).++%----definition of functor: morphisms of categories; i.e. functions -that+%----are strict : E(f(x)) -> E(x).+%----- total : E(x) -> E(f(x)).+%----- preserving: f(dom(x)) = dom(f(x)).+%----- f(cod(x)) = cod(f(x)).+%----- E(star(x,y)) -> (f(star(x,y)) = star(f(x),f(y))).+%--------------------------------------------------------------------------
+ test-data/tptp/cnf/CAT004-0.ax view
@@ -0,0 +1,79 @@+%--------------------------------------------------------------------------+% File : CAT004-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Category Theory+% Axioms : Category theory axioms+% Version : [Sco79] axioms : Reduced > Complete.+% English :++% Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 11 ( 0 non-Horn; 3 unit; 8 RR)+% Number of atoms : 21 ( 7 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 3 ( 0 propositional; 1-2 arity)+% Number of functors : 3 ( 0 constant; 1-2 arity)+% Number of variables : 19 ( 2 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : The dependent axioms have been removed.+%--------------------------------------------------------------------------+%----Non-standard in that E(x) stands for "x exists", i.e. a system -for+%----intuitionistic logic. Viewed classically, this can be -taken+%----as a partitioning of models M into elements of E and -other elements+%----of M; then Scott's quantifiers are relativized -to range only over+%----E, whereas free variables range over all of -M.+%----Quaife has this written: (this looks really weird, but results -from+%----having = here stand for equivalence, and it is a strange -fact from+%----Scott's conception that all non-existent things are -equivalent. all+%----x all y ((x = y) | E(x) | E(y))).++%-----Restricted equality axioms+cnf(equivalence_implies_existence1,axiom,+ ( ~ equivalent(X,Y)+ | there_exists(X) )).++cnf(equivalence_implies_existence2,axiom,+ ( ~ equivalent(X,Y)+ | X = Y )).++cnf(existence_and_equality_implies_equivalence1,axiom,+ ( ~ there_exists(X)+ | X != Y+ | equivalent(X,Y) )).++%-----Category theory axioms+cnf(domain_has_elements,axiom,+ ( ~ there_exists(domain(X))+ | there_exists(X) )).++cnf(codomain_has_elements,axiom,+ ( ~ there_exists(codomain(X))+ | there_exists(X) )).++cnf(composition_implies_domain,axiom,+ ( ~ there_exists(compose(X,Y))+ | there_exists(domain(X)) )).++cnf(domain_codomain_composition1,axiom,+ ( ~ there_exists(compose(X,Y))+ | domain(X) = codomain(Y) )).++cnf(domain_codomain_composition2,axiom,+ ( ~ there_exists(domain(X))+ | domain(X) != codomain(Y)+ | there_exists(compose(X,Y)) )).++cnf(associativity_of_compose,axiom,+ ( compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) )).++cnf(compose_domain,axiom,+ ( compose(X,domain(X)) = X )).++cnf(compose_codomain,axiom,+ ( compose(codomain(X),X) = X )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/COL001-0.ax view
@@ -0,0 +1,56 @@+%------------------------------------------------------------------------------+% File : COL001-0 : TPTP v7.2.0. Bugfixed v1.2.0.+% Domain : Combinatory Logic+% Axioms : Type-respecting combinators+% Version : [Jec95] (equality) axioms.+% English :++% Refs : [Jec95] Jech (1995), Otter Experiments in a System of Combinat+% Source : [Jec95]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 10 ( 1 non-Horn; 8 unit; 2 RR)+% Number of atoms : 12 ( 12 equality)+% Maximal clause size : 2 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 8 ( 4 constant; 0-2 arity)+% Number of variables : 18 ( 3 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+cnf(k_definition,axiom,+ ( apply(k(X),Y) = X )).++cnf(projection1,axiom,+ ( apply(projection1,pair(X,Y)) = X )).++cnf(projection2,axiom,+ ( apply(projection2,pair(X,Y)) = Y )).++cnf(pairing,axiom,+ ( pair(apply(projection1,X),apply(projection2,X)) = X )).++cnf(pairwise_application,axiom,+ ( apply(pair(X,Y),Z) = pair(apply(X,Z),apply(Y,Z)) )).++cnf(abstraction,axiom,+ ( apply(apply(apply(abstraction,X),Y),Z) = apply(apply(X,k(Z)),apply(Y,Z)) )).++cnf(equality,axiom,+ ( apply(eq,pair(X,X)) = projection1 )).++cnf(extensionality1,axiom,+ ( X = Y+ | apply(eq,pair(X,Y)) = projection2 )).++cnf(extensionality2,axiom,+ ( X = Y+ | apply(X,n(X,Y)) != apply(Y,n(X,Y)) )).++cnf(different_projections,axiom,+ ( projection1 != projection2 )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/COL002-0.ax view
@@ -0,0 +1,137 @@+%------------------------------------------------------------------------------+% File : COL002-0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Combinatory Logic+% Axioms : Combinators+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Comb.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 25 ( 8 non-Horn; 11 unit; 21 RR)+% Number of atoms : 63 ( 35 equality)+% Maximal clause size : 5 ( 3 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 13 ( 5 constant; 0-4 arity)+% Number of variables : 58 ( 16 singleton)+% Maximal term depth : 5 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-2.ax+%------------------------------------------------------------------------------+cnf(cls_Comb_OAp__contractE_0,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(V_p,v_sko__uR_H(V_p,V_q,V_r))+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uR8(V_p,V_q,V_r)),v_sko__uR9(V_p,V_q,V_r))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(v_sko__uR__(V_p,V_q,V_r),V_q) )).++cnf(cls_Comb_OAp__contractE_1,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_q,v_sko__uR_H(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uR8(V_p,V_q,V_r)),v_sko__uR9(V_p,V_q,V_r))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(v_sko__uR__(V_p,V_q,V_r),V_q) )).++cnf(cls_Comb_OAp__contractE_2,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_p,v_sko__uR__(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(V_p,v_sko__uR_H(V_p,V_q,V_r))+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uR8(V_p,V_q,V_r)),v_sko__uR9(V_p,V_q,V_r)) )).++cnf(cls_Comb_OAp__contractE_3,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_q,v_sko__uR_H(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_p,v_sko__uR__(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uR8(V_p,V_q,V_r)),v_sko__uR9(V_p,V_q,V_r)) )).++cnf(cls_Comb_OAp__contractE_4,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(V_p,v_sko__uR_H(V_p,V_q,V_r))+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_r = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_sko__uR8(V_p,V_q,V_r),V_q),c_Comb_Ocomb_Oop_A_D_D(v_sko__uR9(V_p,V_q,V_r),V_q))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(v_sko__uR__(V_p,V_q,V_r),V_q) )).++cnf(cls_Comb_OAp__contractE_5,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_q,v_sko__uR_H(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_r = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_sko__uR8(V_p,V_q,V_r),V_q),c_Comb_Ocomb_Oop_A_D_D(v_sko__uR9(V_p,V_q,V_r),V_q))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(v_sko__uR__(V_p,V_q,V_r),V_q) )).++cnf(cls_Comb_OAp__contractE_6,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_p,v_sko__uR__(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(V_p,v_sko__uR_H(V_p,V_q,V_r))+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_r = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_sko__uR8(V_p,V_q,V_r),V_q),c_Comb_Ocomb_Oop_A_D_D(v_sko__uR9(V_p,V_q,V_r),V_q)) )).++cnf(cls_Comb_OAp__contractE_7,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_q,v_sko__uR_H(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_p,v_sko__uR__(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_r = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_sko__uR8(V_p,V_q,V_r),V_q),c_Comb_Ocomb_Oop_A_D_D(v_sko__uR9(V_p,V_q,V_r),V_q)) )).++cnf(cls_Comb_OI__contract__E_0,axiom,+ ( ~ c_in(c_Pair(c_Comb_OI,V_z,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_OK1__contractD_0,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_x),V_z,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_z = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uR7(V_x,V_z)) )).++cnf(cls_Comb_OK1__contractD_1,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_x),V_z,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_x,v_sko__uR7(V_x,V_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_OK__contractE_0,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_OK,V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_OS__contractE_0,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_OS,V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_Ocomb_Odistinct__1__iff1_0,axiom,+ ( c_Comb_Ocomb_OK != c_Comb_Ocomb_OS )).++cnf(cls_Comb_Ocomb_Odistinct__2__iff1_0,axiom,+ ( c_Comb_Ocomb_OS != c_Comb_Ocomb_OK )).++cnf(cls_Comb_Ocomb_Odistinct__3__iff1_0,axiom,+ ( c_Comb_Ocomb_OK != c_Comb_Ocomb_Oop_A_D_D(V_comb1_H,V_comb2_H) )).++cnf(cls_Comb_Ocomb_Odistinct__4__iff1_0,axiom,+ ( c_Comb_Ocomb_Oop_A_D_D(V_comb1_H,V_comb2_H) != c_Comb_Ocomb_OK )).++cnf(cls_Comb_Ocomb_Odistinct__5__iff1_0,axiom,+ ( c_Comb_Ocomb_OS != c_Comb_Ocomb_Oop_A_D_D(V_comb1_H,V_comb2_H) )).++cnf(cls_Comb_Ocomb_Odistinct__6__iff1_0,axiom,+ ( c_Comb_Ocomb_Oop_A_D_D(V_comb1_H,V_comb2_H) != c_Comb_Ocomb_OS )).++cnf(cls_Comb_Ocomb_Oinject__iff1_0,axiom,+ ( c_Comb_Ocomb_Oop_A_D_D(V_comb1,V_comb2) != c_Comb_Ocomb_Oop_A_D_D(V_comb1_H,V_comb2_H)+ | V_comb1 = V_comb1_H )).++cnf(cls_Comb_Ocomb_Oinject__iff1_1,axiom,+ ( c_Comb_Ocomb_Oop_A_D_D(V_comb1,V_comb2) != c_Comb_Ocomb_Oop_A_D_D(V_comb1_H,V_comb2_H)+ | V_comb2 = V_comb2_H )).++cnf(cls_Comb_Ocontract_OAp1_0,axiom,+ ( ~ c_in(c_Pair(V_x,V_y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_Ocontract_OAp2_0,axiom,+ ( ~ c_in(c_Pair(V_x,V_y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_z,V_x),c_Comb_Ocomb_Oop_A_D_D(V_z,V_y),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_Ocontract_OK_0,axiom,+ ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_x),V_y),V_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_Ocontract_OS_0,axiom,+ ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,V_x),V_y),V_z),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_z)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/COL002-1.ax view
@@ -0,0 +1,124 @@+%------------------------------------------------------------------------------+% File : COL002-1 : TPTP v7.2.0. Released v3.2.0.+% Domain : Combinatory Logic+% Axioms : Combinators+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Comb2.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 21 ( 6 non-Horn; 3 unit; 16 RR)+% Number of atoms : 58 ( 25 equality)+% Maximal clause size : 5 ( 3 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 17 ( 5 constant; 0-4 arity)+% Number of variables : 53 ( 1 singleton)+% Maximal term depth : 5 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-2.ax, COL002-0.ax+%------------------------------------------------------------------------------+cnf(cls_Comb_OAp__parcontractE_0,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(V_p,V_q)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(V_p,V_q,V_r)),v_sko__uTG(V_p,V_q,V_r))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(V_p,V_q,V_r),v_sko__uTH(V_p,V_q,V_r)) )).++cnf(cls_Comb_OAp__parcontractE_1,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_q,v_sko__uTH(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(V_p,V_q)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(V_p,V_q,V_r)),v_sko__uTG(V_p,V_q,V_r)) )).++cnf(cls_Comb_OAp__parcontractE_2,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_p,v_sko__uTI(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(V_p,V_q)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(V_p,V_q,V_r)),v_sko__uTG(V_p,V_q,V_r)) )).++cnf(cls_Comb_OAp__parcontractE_3,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(V_p,V_q)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_r = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_sko__uTF(V_p,V_q,V_r),V_q),c_Comb_Ocomb_Oop_A_D_D(v_sko__uTG(V_p,V_q,V_r),V_q))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(V_p,V_q,V_r),v_sko__uTH(V_p,V_q,V_r)) )).++cnf(cls_Comb_OAp__parcontractE_4,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_q,v_sko__uTH(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(V_p,V_q)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_r = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_sko__uTF(V_p,V_q,V_r),V_q),c_Comb_Ocomb_Oop_A_D_D(v_sko__uTG(V_p,V_q,V_r),V_q)) )).++cnf(cls_Comb_OAp__parcontractE_5,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_p,V_q),V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_p,v_sko__uTI(V_p,V_q,V_r),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_Oop_A_D_D(V_p,V_q)+ | V_p = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_r)+ | V_r = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_sko__uTF(V_p,V_q,V_r),V_q),c_Comb_Ocomb_Oop_A_D_D(v_sko__uTG(V_p,V_q,V_r),V_q)) )).++cnf(cls_Comb_OAp__reduce1_0,axiom,+ ( ~ c_in(c_Pair(V_x,V_y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_OAp__reduce2_0,axiom,+ ( ~ c_in(c_Pair(V_x,V_y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_z,V_x),c_Comb_Ocomb_Oop_A_D_D(V_z,V_y),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_OK1__parcontractD__dest_0,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_x),V_z,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_z = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(V_x,V_z)) )).++cnf(cls_Comb_OK1__parcontractD__dest_1,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_x),V_z,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_x,v_sko__uTE(V_x,V_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_OK__parcontractE_0,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_OK,V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_OK )).++cnf(cls_Comb_OS1__parcontractD__dest_0,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,V_x),V_z,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_z = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTD(V_x,V_z)) )).++cnf(cls_Comb_OS1__parcontractD__dest_1,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,V_x),V_z,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_x,v_sko__uTD(V_x,V_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_OS2__parcontractD__dest_0,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,V_x),V_y),V_z,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_z = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTB(V_x,V_y,V_z)),v_sko__uTC(V_x,V_y,V_z)) )).++cnf(cls_Comb_OS2__parcontractD__dest_1,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,V_x),V_y),V_z,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_x,v_sko__uTB(V_x,V_y,V_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_OS2__parcontractD__dest_2,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,V_x),V_y),V_z,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(V_y,v_sko__uTC(V_x,V_y,V_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_OS__parcontractE_0,axiom,+ ( ~ c_in(c_Pair(c_Comb_Ocomb_OS,V_r,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | V_r = c_Comb_Ocomb_OS )).++cnf(cls_Comb_Oparcontract_Ointros__1_0,axiom,+ ( c_in(c_Pair(V_x,V_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_Oparcontract_Ointros__2_0,axiom,+ ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_x),V_y),V_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_Oparcontract_Ointros__3_0,axiom,+ ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,V_x),V_y),V_z),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_z)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++cnf(cls_Comb_Oparcontract_Ointros__4_0,axiom,+ ( ~ c_in(c_Pair(V_z,V_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | ~ c_in(c_Pair(V_x,V_y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))+ | c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/FLD001-0.ax view
@@ -0,0 +1,154 @@+%--------------------------------------------------------------------------+% File : FLD001-0 : TPTP v7.2.0. Released v2.1.0.+% Domain : Field Theory (Ordered fields)+% Axioms : Ordered field axioms (axiom formulation glxx)+% Version : [Dra93] axioms : Especial.+% English :++% Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO+% Source : [Dra93]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 27 ( 3 non-Horn; 3 unit; 27 RR)+% Number of atoms : 73 ( 0 equality)+% Maximal clause size : 4 ( 3 average)+% Number of predicates : 3 ( 0 propositional; 1-2 arity)+% Number of functors : 6 ( 2 constant; 0-2 arity)+% Number of variables : 50 ( 0 singleton)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments : The missing equality axioms can be derived.+% : Currently it is unknown if this axiomatization is complete.+% It is definitely tuned for SETHEO.+% Bugfixes : v2.1.0 - Added different_identities clause.+%--------------------------------------------------------------------------+cnf(associativity_addition,axiom,+ ( equalish(add(X,add(Y,Z)),add(add(X,Y),Z))+ | ~ defined(X)+ | ~ defined(Y)+ | ~ defined(Z) )).++cnf(existence_of_identity_addition,axiom,+ ( equalish(add(additive_identity,X),X)+ | ~ defined(X) )).++cnf(existence_of_inverse_addition,axiom,+ ( equalish(add(X,additive_inverse(X)),additive_identity)+ | ~ defined(X) )).++cnf(commutativity_addition,axiom,+ ( equalish(add(X,Y),add(Y,X))+ | ~ defined(X)+ | ~ defined(Y) )).++cnf(associativity_multiplication,axiom,+ ( equalish(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z))+ | ~ defined(X)+ | ~ defined(Y)+ | ~ defined(Z) )).++cnf(existence_of_identity_multiplication,axiom,+ ( equalish(multiply(multiplicative_identity,X),X)+ | ~ defined(X) )).++cnf(existence_of_inverse_multiplication,axiom,+ ( equalish(multiply(X,multiplicative_inverse(X)),multiplicative_identity)+ | ~ defined(X)+ | equalish(X,additive_identity) )).++cnf(commutativity_multiplication,axiom,+ ( equalish(multiply(X,Y),multiply(Y,X))+ | ~ defined(X)+ | ~ defined(Y) )).++cnf(distributivity,axiom,+ ( equalish(add(multiply(X,Z),multiply(Y,Z)),multiply(add(X,Y),Z))+ | ~ defined(X)+ | ~ defined(Y)+ | ~ defined(Z) )).++cnf(well_definedness_of_addition,axiom,+ ( defined(add(X,Y))+ | ~ defined(X)+ | ~ defined(Y) )).++cnf(well_definedness_of_additive_identity,axiom,+ ( defined(additive_identity) )).++cnf(well_definedness_of_additive_inverse,axiom,+ ( defined(additive_inverse(X))+ | ~ defined(X) )).++cnf(well_definedness_of_multiplication,axiom,+ ( defined(multiply(X,Y))+ | ~ defined(X)+ | ~ defined(Y) )).++cnf(well_definedness_of_multiplicative_identity,axiom,+ ( defined(multiplicative_identity) )).++cnf(well_definedness_of_multiplicative_inverse,axiom,+ ( defined(multiplicative_inverse(X))+ | ~ defined(X)+ | equalish(X,additive_identity) )).++cnf(antisymmetry_of_order_relation,axiom,+ ( equalish(X,Y)+ | ~ less_or_equal(X,Y)+ | ~ less_or_equal(Y,X) )).++cnf(transitivity_of_order_relation,axiom,+ ( less_or_equal(X,Z)+ | ~ less_or_equal(X,Y)+ | ~ less_or_equal(Y,Z) )).++cnf(totality_of_order_relation,axiom,+ ( less_or_equal(X,Y)+ | less_or_equal(Y,X)+ | ~ defined(X)+ | ~ defined(Y) )).++cnf(compatibility_of_order_relation_and_addition,axiom,+ ( less_or_equal(add(X,Z),add(Y,Z))+ | ~ defined(Z)+ | ~ less_or_equal(X,Y) )).++cnf(compatibility_of_order_relation_and_multiplication,axiom,+ ( less_or_equal(additive_identity,multiply(Y,Z))+ | ~ less_or_equal(additive_identity,Y)+ | ~ less_or_equal(additive_identity,Z) )).++cnf(reflexivity_of_equality,axiom,+ ( equalish(X,X)+ | ~ defined(X) )).++cnf(symmetry_of_equality,axiom,+ ( equalish(X,Y)+ | ~ equalish(Y,X) )).++cnf(transitivity_of_equality,axiom,+ ( equalish(X,Z)+ | ~ equalish(X,Y)+ | ~ equalish(Y,Z) )).++cnf(compatibility_of_equality_and_addition,axiom,+ ( equalish(add(X,Z),add(Y,Z))+ | ~ defined(Z)+ | ~ equalish(X,Y) )).++cnf(compatibility_of_equality_and_multiplication,axiom,+ ( equalish(multiply(X,Z),multiply(Y,Z))+ | ~ defined(Z)+ | ~ equalish(X,Y) )).++cnf(compatibility_of_equality_and_order_relation,axiom,+ ( less_or_equal(Y,Z)+ | ~ less_or_equal(X,Z)+ | ~ equalish(X,Y) )).++cnf(different_identities,axiom,+ ( ~ equalish(additive_identity,multiplicative_identity) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/FLD002-0.ax view
@@ -0,0 +1,156 @@+%--------------------------------------------------------------------------+% File : FLD002-0 : TPTP v7.2.0. Released v2.1.0.+% Domain : Field Theory (Ordered fields)+% Axioms : Ordered field axioms (axiom formulation re)+% Version : [Dra93] axioms : Especial.+% English :++% Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO+% Source : [Dra93]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 26 ( 3 non-Horn; 3 unit; 26 RR)+% Number of atoms : 77 ( 0 equality)+% Maximal clause size : 5 ( 3 average)+% Number of predicates : 4 ( 0 propositional; 1-3 arity)+% Number of functors : 6 ( 2 constant; 0-2 arity)+% Number of variables : 73 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : The missing equality axioms can be derived.+% : Currently it is unknown if this axiomatization is complete.+% It is definitely tuned for SETHEO.+% Bugfixes : v2.1.0 - Added different_identities clause.+%--------------------------------------------------------------------------+cnf(associativity_addition_1,axiom,+ ( sum(X,V,W)+ | ~ sum(X,Y,U)+ | ~ sum(Y,Z,V)+ | ~ sum(U,Z,W) )).++cnf(associativity_addition_2,axiom,+ ( sum(U,Z,W)+ | ~ sum(X,Y,U)+ | ~ sum(Y,Z,V)+ | ~ sum(X,V,W) )).++cnf(existence_of_identity_addition,axiom,+ ( sum(additive_identity,X,X)+ | ~ defined(X) )).++cnf(existence_of_inverse_addition,axiom,+ ( sum(additive_inverse(X),X,additive_identity)+ | ~ defined(X) )).++cnf(commutativity_addition,axiom,+ ( sum(Y,X,Z)+ | ~ sum(X,Y,Z) )).++cnf(associativity_multiplication_1,axiom,+ ( product(X,V,W)+ | ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(U,Z,W) )).++cnf(associativity_multiplication_2,axiom,+ ( product(U,Z,W)+ | ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(X,V,W) )).++cnf(existence_of_identity_multiplication,axiom,+ ( product(multiplicative_identity,X,X)+ | ~ defined(X) )).++cnf(existence_of_inverse_multiplication,axiom,+ ( product(multiplicative_inverse(X),X,multiplicative_identity)+ | sum(additive_identity,X,additive_identity)+ | ~ defined(X) )).++cnf(commutativity_multiplication,axiom,+ ( product(Y,X,Z)+ | ~ product(X,Y,Z) )).++cnf(distributivity_1,axiom,+ ( sum(C,D,B)+ | ~ sum(X,Y,A)+ | ~ product(A,Z,B)+ | ~ product(X,Z,C)+ | ~ product(Y,Z,D) )).++cnf(distributivity_2,axiom,+ ( product(A,Z,B)+ | ~ sum(X,Y,A)+ | ~ product(X,Z,C)+ | ~ product(Y,Z,D)+ | ~ sum(C,D,B) )).++cnf(well_definedness_of_addition,axiom,+ ( defined(add(X,Y))+ | ~ defined(X)+ | ~ defined(Y) )).++cnf(well_definedness_of_additive_identity,axiom,+ ( defined(additive_identity) )).++cnf(well_definedness_of_additive_inverse,axiom,+ ( defined(additive_inverse(X))+ | ~ defined(X) )).++cnf(well_definedness_of_multiplication,axiom,+ ( defined(multiply(X,Y))+ | ~ defined(X)+ | ~ defined(Y) )).++cnf(well_definedness_of_multiplicative_identity,axiom,+ ( defined(multiplicative_identity) )).++cnf(well_definedness_of_multiplicative_inverse,axiom,+ ( defined(multiplicative_inverse(X))+ | ~ defined(X)+ | sum(additive_identity,X,additive_identity) )).++cnf(totality_of_addition,axiom,+ ( sum(X,Y,add(X,Y))+ | ~ defined(X)+ | ~ defined(Y) )).++cnf(totality_of_multiplication,axiom,+ ( product(X,Y,multiply(X,Y))+ | ~ defined(X)+ | ~ defined(Y) )).++cnf(antisymmetry_of_order_relation,axiom,+ ( sum(additive_identity,X,Y)+ | ~ less_or_equal(X,Y)+ | ~ less_or_equal(Y,X) )).++cnf(transitivity_of_order_relation,axiom,+ ( less_or_equal(X,Z)+ | ~ less_or_equal(X,Y)+ | ~ less_or_equal(Y,Z) )).++cnf(totality_of_order_relation,axiom,+ ( less_or_equal(X,Y)+ | less_or_equal(Y,X)+ | ~ defined(X)+ | ~ defined(Y) )).++cnf(compatibility_of_order_relation_and_addition,axiom,+ ( less_or_equal(U,V)+ | ~ less_or_equal(X,Y)+ | ~ sum(X,Z,U)+ | ~ sum(Y,Z,V) )).++cnf(compatibility_of_order_relation_and_multiplication,axiom,+ ( less_or_equal(additive_identity,Z)+ | ~ less_or_equal(additive_identity,X)+ | ~ less_or_equal(additive_identity,Y)+ | ~ product(X,Y,Z) )).++cnf(different_identities,axiom,+ ( ~ sum(additive_identity,additive_identity,multiplicative_identity) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO001-0.ax view
@@ -0,0 +1,136 @@+%--------------------------------------------------------------------------+% File : GEO001-0 : TPTP v7.2.0. Bugfixed v2.5.0+% Domain : Geometry (Tarskian)+% Axioms : Tarski geometry axioms+% Version : [MOW76] axioms.+% English :++% Refs : [Tar59] Tarski (1959), What is Elementary Geometry?+% : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 20 ( 6 non-Horn; 6 unit; 17 RR)+% Number of atoms : 64 ( 8 equality)+% Maximal clause size : 8 ( 3 average)+% Number of predicates : 3 ( 0 propositional; 2-4 arity)+% Number of functors : 8 ( 3 constant; 0-6 arity)+% Number of variables : 79 ( 3 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : These axioms are also used in [Wos88], p.206.+% : outer_pasch : Skolem function arising from Outer Pasch Axiom (A7)+% euclid1 : Skolem function arising from Euclid's Axiom (A8)+% euclid2 : Skolem function arising from Euclid's Axiom (A8)+% extend : Skolem function from Segment Construction (A10)+% cont : Skolem function from Weakened Elementary Continuity (A13')+% Bugfixes : v2.5.0 - Fixed clause continuity1.+%--------------------------------------------------------------------------+cnf(identity_for_betweeness,axiom,+ ( ~ between(X,Y,X)+ | X = Y )).++cnf(transitivity_for_betweeness,axiom,+ ( ~ between(X,Y,V)+ | ~ between(Y,Z,V)+ | between(X,Y,Z) )).++cnf(connectivity_for_betweeness,axiom,+ ( ~ between(X,Y,Z)+ | ~ between(X,Y,V)+ | X = Y+ | between(X,Z,V)+ | between(X,V,Z) )).++cnf(reflexivity_for_equidistance,axiom,+ ( equidistant(X,Y,Y,X) )).++cnf(identity_for_equidistance,axiom,+ ( ~ equidistant(X,Y,Z,Z)+ | X = Y )).++cnf(transitivity_for_equidistance,axiom,+ ( ~ equidistant(X,Y,Z,V)+ | ~ equidistant(X,Y,V2,W)+ | equidistant(Z,V,V2,W) )).++cnf(outer_pasch1,axiom,+ ( ~ between(X,W,V)+ | ~ between(Y,V,Z)+ | between(X,outer_pasch(W,X,Y,Z,V),Y) )).++cnf(outer_pasch2,axiom,+ ( ~ between(X,W,V)+ | ~ between(Y,V,Z)+ | between(Z,W,outer_pasch(W,X,Y,Z,V)) )).++cnf(euclid1,axiom,+ ( ~ between(X,V,W)+ | ~ between(Y,V,Z)+ | X = V+ | between(X,Z,euclid1(W,X,Y,Z,V)) )).++cnf(euclid2,axiom,+ ( ~ between(X,V,W)+ | ~ between(Y,V,Z)+ | X = V+ | between(X,Y,euclid2(W,X,Y,Z,V)) )).++cnf(euclid3,axiom,+ ( ~ between(X,V,W)+ | ~ between(Y,V,Z)+ | X = V+ | between(euclid1(W,X,Y,Z,V),W,euclid2(W,X,Y,Z,V)) )).++cnf(outer_five_segment,axiom,+ ( ~ equidistant(X,Y,X1,Y1)+ | ~ equidistant(Y,Z,Y1,Z1)+ | ~ equidistant(X,V,X1,V1)+ | ~ equidistant(Y,V,Y1,V1)+ | ~ between(X,Y,Z)+ | ~ between(X1,Y1,Z1)+ | X = Y+ | equidistant(Z,V,Z1,V1) )).++cnf(segment_construction1,axiom,+ ( between(X,Y,extension(X,Y,W,V)) )).++cnf(segment_construction2,axiom,+ ( equidistant(Y,extension(X,Y,W,V),W,V) )).++cnf(lower_dimension1,axiom,+ ( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) )).++cnf(lower_dimension2,axiom,+ ( ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) )).++cnf(lower_dimension3,axiom,+ ( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) )).++cnf(upper_dimension,axiom,+ ( ~ equidistant(X,W,X,V)+ | ~ equidistant(Y,W,Y,V)+ | ~ equidistant(Z,W,Z,V)+ | between(X,Y,Z)+ | between(Y,Z,X)+ | between(Z,X,Y)+ | W = V )).++cnf(continuity1,axiom,+ ( ~ equidistant(V,X,V,X1)+ | ~ equidistant(V,Z,V,Z1)+ | ~ between(V,X,Z)+ | ~ between(X,Y,Z)+ | equidistant(V,Y,V,continuous(X,Y,Z,X1,Z1,V)) )).++cnf(continuity2,axiom,+ ( ~ equidistant(V,X,V,X1)+ | ~ equidistant(V,Z,V,Z1)+ | ~ between(V,X,Z)+ | ~ between(X,Y,Z)+ | between(X1,continuous(X,Y,Z,X1,Z1,V),Z1) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO001-1.ax view
@@ -0,0 +1,43 @@+%--------------------------------------------------------------------------+% File : GEO001-1 : TPTP v7.2.0. Released v1.0.0.+% Domain : Geometry (Tarskian)+% Axioms : Colinearity axioms for the GEO001 geometry axioms+% Version : [MOW76] axioms.+% English :++% Refs : [Tar59] Tarski (1959), What is Elementary Geometry?+% : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 4 ( 1 non-Horn; 0 unit; 4 RR)+% Number of atoms : 10 ( 0 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 3-3 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 12 ( 0 singleton)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires GEO001-0.ax+%--------------------------------------------------------------------------+cnf(colinearity1,axiom,+ ( ~ colinear(X,Y,Z)+ | between(X,Y,Z)+ | between(Y,X,Z)+ | between(X,Z,Y) )).++cnf(colinearity2,axiom,+ ( ~ between(X,Y,Z)+ | colinear(X,Y,Z) )).++cnf(colinearity3,axiom,+ ( ~ between(Y,X,Z)+ | colinear(X,Y,Z) )).++cnf(colinearity4,axiom,+ ( ~ between(X,Z,Y)+ | colinear(X,Y,Z) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO002-0.ax view
@@ -0,0 +1,149 @@+%--------------------------------------------------------------------------+% File : GEO002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Geometry (Tarskian)+% Axioms : Tarski geometry axioms+% Version : [Qua89] axioms.+% English :++% Refs : [Tar59] Tarski (1959), What is Elementary Geometry?+% : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Qua89] Quaife (1989), Automated Development of Tarski's Geome+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 18 ( 5 non-Horn; 6 unit; 15 RR)+% Number of atoms : 56 ( 7 equality)+% Maximal clause size : 8 ( 3 average)+% Number of predicates : 3 ( 0 propositional; 2-4 arity)+% Number of functors : 8 ( 3 constant; 0-6 arity)+% Number of variables : 71 ( 3 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : See [Qua89] p.100, for details of the differences from the+% [MOW76] axioms.+% : Skolem functions are:+% inner_pasch : From Inner Pasch Axiom (A7)+% euclid1 : From Euclid's Axiom (A8)+% euclid2 : From Euclid's Axiom (A8)+% extend : From the Segment Construction Axiom (A10)+% continuous : From the Weakened form of the Elementary+% Continuity Axiom (A13')+%--------------------------------------------------------------------------+%----A1 - Reflexivity axiom for equidistance+cnf(reflexivity_for_equidistance,axiom,+ ( equidistant(X,Y,Y,X) )).++%----A2 - Transitivity axiom for equidistance+cnf(transitivity_for_equidistance,axiom,+ ( ~ equidistant(X,Y,Z,V)+ | ~ equidistant(X,Y,V2,W)+ | equidistant(Z,V,V2,W) )).++%----A3 Indentity axiom for equidistance+cnf(identity_for_equidistance,axiom,+ ( ~ equidistant(X,Y,Z,Z)+ | X = Y )).++%----A4 - Segment construction axiom, two clauses.+%----A4.1+cnf(segment_construction1,axiom,+ ( between(X,Y,extension(X,Y,W,V)) )).++%----A4.2+cnf(segment_construction2,axiom,+ ( equidistant(Y,extension(X,Y,W,V),W,V) )).++%----A5 - Outer five-segment axiom+cnf(outer_five_segment,axiom,+ ( ~ equidistant(X,Y,X1,Y1)+ | ~ equidistant(Y,Z,Y1,Z1)+ | ~ equidistant(X,V,X1,V1)+ | ~ equidistant(Y,V,Y1,V1)+ | ~ between(X,Y,Z)+ | ~ between(X1,Y1,Z1)+ | X = Y+ | equidistant(Z,V,Z1,V1) )).++%----A6 - Identity axiom for betweenness+cnf(identity_for_betweeness,axiom,+ ( ~ between(X,Y,X)+ | X = Y )).++%----A7 - Inner Pasch axiom, two clauses.+%----A7.1+cnf(inner_pasch1,axiom,+ ( ~ between(U,V,W)+ | ~ between(Y,X,W)+ | between(V,inner_pasch(U,V,W,X,Y),Y) )).++%----A7.2+cnf(inner_pasch2,axiom,+ ( ~ between(U,V,W)+ | ~ between(Y,X,W)+ | between(X,inner_pasch(U,V,W,X,Y),U) )).++%----A8 - Lower dimension axiom, three clauses.+%----A8.1+cnf(lower_dimension1,axiom,+ ( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) )).++%----A8.2+cnf(lower_dimension2,axiom,+ ( ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) )).++%----A8.3+cnf(lower_dimension3,axiom,+ ( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) )).++%----A9 - Upper dimension axiom+cnf(upper_dimension,axiom,+ ( ~ equidistant(X,W,X,V)+ | ~ equidistant(Y,W,Y,V)+ | ~ equidistant(Z,W,Z,V)+ | between(X,Y,Z)+ | between(Y,Z,X)+ | between(Z,X,Y)+ | W = V )).++%----A10 - Euclid's axiom, three clauses.+%----A10.1+cnf(euclid1,axiom,+ ( ~ between(U,W,Y)+ | ~ between(V,W,X)+ | U = W+ | between(U,V,euclid1(U,V,W,X,Y)) )).++%----A10.2+cnf(euclid2,axiom,+ ( ~ between(U,W,Y)+ | ~ between(V,W,X)+ | U = W+ | between(U,X,euclid2(U,V,W,X,Y)) )).++%----A10.3+cnf(euclid3,axiom,+ ( ~ between(U,W,Y)+ | ~ between(V,W,X)+ | U = W+ | between(euclid1(U,V,W,X,Y),Y,euclid2(U,V,W,X,Y)) )).++%----A11 - Weakened continuity axiom, two clauses.+%----A11.1+cnf(continuity1,axiom,+ ( ~ equidistant(U,V,U,V1)+ | ~ equidistant(U,X,U,X1)+ | ~ between(U,V,X)+ | ~ between(V,W,X)+ | between(V1,continuous(U,V,V1,W,X,X1),X1) )).++%----A11.2+cnf(continuity2,axiom,+ ( ~ equidistant(U,V,U,V1)+ | ~ equidistant(U,X,U,X1)+ | ~ between(U,V,X)+ | ~ between(V,W,X)+ | equidistant(U,W,U,continuous(U,V,V1,W,X,X1)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO002-1.ax view
@@ -0,0 +1,47 @@+%--------------------------------------------------------------------------+% File : GEO002-1 : TPTP v7.2.0. Released v1.0.0.+% Domain : Geometry (Tarskian)+% Axioms : Colinearity axioms for the GEO002 geometry axioms+% Version : [Qua89] axioms.+% English :++% Refs : [Tar59] Tarski (1959), What is Elementary Geometry?+% : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Qua89] Quaife (1989), Automated Development of Tarski's Geome+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 4 ( 1 non-Horn; 0 unit; 4 RR)+% Number of atoms : 10 ( 0 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 3-3 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 12 ( 0 singleton)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires GEO002-0.ax+% : This version differs from the originals only in the ordering+% of betweenness arguments. The equivalence is obvious from the+% symmetry of betweenness.+%--------------------------------------------------------------------------+cnf(colinearity1,axiom,+ ( ~ between(X,Y,Z)+ | colinear(X,Y,Z) )).++cnf(colinearity2,axiom,+ ( ~ between(Y,Z,X)+ | colinear(X,Y,Z) )).++cnf(colinearity3,axiom,+ ( ~ between(Z,X,Y)+ | colinear(X,Y,Z) )).++cnf(colinearity4,axiom,+ ( ~ colinear(X,Y,Z)+ | between(X,Y,Z)+ | between(Y,Z,X)+ | between(Z,X,Y) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO002-2.ax view
@@ -0,0 +1,29 @@+%--------------------------------------------------------------------------+% File : GEO002-2 : TPTP v7.2.0. Released v1.0.0.+% Domain : Geometry (Tarskian)+% Axioms : Reflection axioms for the GEO002 geometry axioms+% Version : [Qua89] axioms.+% English :++% Refs : [Tar59] Tarski (1959), What is Elementary Geometry?+% : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Qua89] Quaife (1989), Automated Development of Tarski's Geome+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 1 ( 0 non-Horn; 1 unit; 0 RR)+% Number of atoms : 1 ( 1 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 2 ( 0 constant; 2-4 arity)+% Number of variables : 2 ( 0 singleton)+% Maximal term depth : 2 ( 2 average)+% SPC : ++% Comments : Requires GEO002-0.ax+%--------------------------------------------------------------------------+cnf(reflection,axiom,+ ( reflection(U,V) = extension(U,V,U,V) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO002-3.ax view
@@ -0,0 +1,29 @@+%--------------------------------------------------------------------------+% File : GEO002-3 : TPTP v7.2.0. Released v1.0.0.+% Domain : Geometry (Tarskian)+% Axioms : Insertion axioms for the GEO002 geometry axioms+% Version : [Qua89] axioms.+% English :++% Refs : [Tar59] Tarski (1959), What is Elementary Geometry?+% : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Qua89] Quaife (1989), Automated Development of Tarski's Geome+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 1 ( 0 non-Horn; 1 unit; 0 RR)+% Number of atoms : 1 ( 1 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 4 ( 2 constant; 0-4 arity)+% Number of variables : 4 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires GEO002-0.ax+%--------------------------------------------------------------------------+cnf(insertion,axiom,+ ( insertion(U1,W1,U,V) = extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO003-0.ax view
@@ -0,0 +1,275 @@+%--------------------------------------------------------------------------+% File : GEO003-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Geometry (Hilbert)+% Axioms : Hilbert geometry axioms+% Version : [Ben92] axioms.+% English :++% Refs : [Ben92] Benanav (1992), Recognising Unnecessary Clauses in Res+% Source : [Ben92]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 31 ( 18 non-Horn; 1 unit; 31 RR)+% Number of atoms : 174 ( 43 equality)+% Maximal clause size : 16 ( 6 average)+% Number of predicates : 6 ( 0 propositional; 1-3 arity)+% Number of functors : 10 ( 1 constant; 0-3 arity)+% Number of variables : 70 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----Axiom 1 : For any two distinct points, there is a unique line through+%----them.+cnf(axiom_G1A,axiom,+ ( on(Z1,line_from_to(Z1,Z2))+ | Z1 = Z2+ | ~ point(Z1)+ | ~ point(Z2) )).++cnf(axiom_G1B,axiom,+ ( on(Z2,line_from_to(Z1,Z2))+ | Z1 = Z2+ | ~ point(Z1)+ | ~ point(Z2) )).++cnf(axiom_G1C,axiom,+ ( line(line_from_to(Z1,Z2))+ | Z1 = Z2+ | ~ point(Z1)+ | ~ point(Z2) )).++cnf(axiom_G1D,axiom,+ ( ~ on(Z1,Y3)+ | Z1 = Z2+ | ~ on(Z2,Y3)+ | Y3 = Y4+ | ~ on(Z1,Y4)+ | ~ on(Z2,Y4)+ | ~ point(Z1)+ | ~ point(Z2)+ | ~ line(Y3)+ | ~ line(Y4) )).++%----For any line, there are at least two points on the line.+cnf(axiom_G2A,axiom,+ ( on(point_1_on_line(Y1),Y1)+ | ~ line(Y1) )).++cnf(axiom_G2B,axiom,+ ( on(point_2_on_line(Y1),Y1)+ | ~ line(Y1) )).++cnf(axiom_G2C,axiom,+ ( point(point_1_on_line(Y1))+ | ~ line(Y1) )).++cnf(axiom_G2D,axiom,+ ( point(point_2_on_line(Y1))+ | ~ line(Y1) )).++cnf(axiom_G2E,axiom,+ ( point_1_on_line(Y1) != point_2_on_line(Y1)+ | ~ line(Y1) )).++%----For any line, there is a point not on the line.+cnf(axiom_G3A,axiom,+ ( ~ on(point_not_on_line(Y1),Y1)+ | ~ line(Y1) )).++cnf(axiom_G3B,axiom,+ ( point(point_not_on_line(Y1))+ | ~ line(Y1) )).++%----There exists at least one line+cnf(axiom_G4A,axiom,+ ( line(at_least_one_line) )).++%----For any plane there is a point on the plane.+cnf(axiom_G5A,axiom,+ ( ~ plane(Z1)+ | on(point_on_plane(Z1),Z1) )).++cnf(axiom_G5B,axiom,+ ( ~ plane(Z1)+ | point(point_on_plane(Z1)) )).++%----For any plane there is a point not on the plane.+cnf(axiom_G6A,axiom,+ ( ~ plane(Z1)+ | ~ on(point_not_on_plane(Z1),Z1) )).++cnf(axiom_G6B,axiom,+ ( ~ plane(Z1)+ | point(point_not_on_plane(Z1)) )).++%----For any three non-collinear points there is a unique plane through+%----them.+cnf(axiom_G7A,axiom,+ ( on(X1,plane_for_points(X1,X2,X3))+ | ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | collinear(X1,X2,X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3 )).++cnf(axiom_G7B,axiom,+ ( on(X2,plane_for_points(X1,X2,X3))+ | ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | collinear(X1,X2,X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3 )).++cnf(axiom_G7C,axiom,+ ( on(X3,plane_for_points(X1,X2,X3))+ | ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | collinear(X1,X2,X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3 )).++cnf(axiom_G7D,axiom,+ ( plane(plane_for_points(X1,X2,X3))+ | ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | collinear(X1,X2,X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3 )).++cnf(axiom_G7E,axiom,+ ( ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | collinear(X1,X2,X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | ~ on(X1,Z1)+ | ~ on(X2,Z1)+ | ~ on(X3,Z1)+ | ~ plane(Z1)+ | ~ on(X1,Z2)+ | ~ on(X2,Z2)+ | ~ on(X3,Z2)+ | ~ plane(Z2)+ | Z1 = Z2 )).++%----If two points of a line are in the same plane then every point+%----of that line is in the plane.+cnf(axiom_G8A,axiom,+ ( ~ on(X1,Y1)+ | ~ on(X2,Y1)+ | ~ on(X1,Z1)+ | ~ on(X2,Z1)+ | ~ plane(Z1)+ | ~ point(X1)+ | ~ point(X2)+ | ~ line(Y1)+ | X1 = X2+ | on(Y1,Z1) )).++%----If two planes have a point in common they have at least one more+%----point in common.+cnf(axiom_G9A,axiom,+ ( ~ plane(Z1)+ | ~ plane(Z2)+ | Z1 = Z2+ | ~ on(X1,Z1)+ | ~ on(X1,Z2)+ | ~ point(X1)+ | on(common_point_on_planes(Z1,Z2,X1),Z1) )).++cnf(axiom_G9B,axiom,+ ( ~ plane(Z1)+ | ~ plane(Z2)+ | Z1 = Z2+ | ~ on(X1,Z1)+ | ~ on(X1,Z2)+ | ~ point(X1)+ | on(common_point_on_planes(Z1,Z2,X1),Z2) )).++cnf(axiom_G9C,axiom,+ ( ~ plane(Z1)+ | ~ plane(Z2)+ | Z1 = Z2+ | ~ on(X1,Z1)+ | ~ on(X1,Z2)+ | ~ point(X1)+ | point(common_point_on_planes(Z1,Z2,X1)) )).++cnf(axiom_G9D,axiom,+ ( ~ plane(Z1)+ | ~ plane(Z2)+ | Z1 = Z2+ | ~ on(X1,Z1)+ | ~ on(X1,Z2)+ | ~ point(X1)+ | X1 != common_point_on_planes(Z1,Z2,X1) )).++%----Three distinct points are collinear if and only if there is a line+%----through them.+cnf(axiom_G10A,axiom,+ ( ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | on(X1,line_through_3_points(X1,X2,X3))+ | ~ collinear(X1,X2,X3) )).++cnf(axiom_G10B,axiom,+ ( ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | on(X2,line_through_3_points(X1,X2,X3))+ | ~ collinear(X1,X2,X3) )).++cnf(axiom_G10C,axiom,+ ( ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | on(X3,line_through_3_points(X1,X2,X3))+ | ~ collinear(X1,X2,X3) )).++cnf(axiom_G10D,axiom,+ ( ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | line(line_through_3_points(X1,X2,X3))+ | ~ collinear(X1,X2,X3) )).++cnf(axiom_G10E,axiom,+ ( collinear(X1,X2,X3)+ | ~ on(X1,Y)+ | ~ on(X2,Y)+ | ~ on(X3,Y)+ | ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | ~ line(Y) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO004-0.ax view
@@ -0,0 +1,275 @@+%--------------------------------------------------------------------------+% File : GEO004-0 : TPTP v7.2.0. Released v2.4.0.+% Domain : Geometry (Oriented curves)+% Axioms : Simple curve axioms+% Version : [EHK99] axioms.+% English :++% Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv+% : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto+% Source : [EHK99]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 48 ( 21 non-Horn; 1 unit; 43 RR)+% Number of atoms : 154 ( 21 equality)+% Maximal clause size : 12 ( 3 average)+% Number of predicates : 8 ( 0 propositional; 1-3 arity)+% Number of functors : 14 ( 0 constant; 1-3 arity)+% Number of variables : 126 ( 10 singleton)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments : Created by tptp2X -f tptp -t clausify:otter GEO004+0.ax+%--------------------------------------------------------------------------+cnf(part_of_defn_1,axiom,+ ( ~ part_of(A,B)+ | ~ incident_c(C,A)+ | incident_c(C,B) )).++cnf(part_of_defn_2,axiom,+ ( incident_c(ax0_sk1(A,B),A)+ | part_of(A,B) )).++cnf(part_of_defn_3,axiom,+ ( ~ incident_c(ax0_sk1(A,B),B)+ | part_of(A,B) )).++cnf(sum_defn_4,axiom,+ ( A != sum(B,C)+ | ~ incident_c(D,A)+ | incident_c(D,B)+ | incident_c(D,C) )).++cnf(sum_defn_5,axiom,+ ( A != sum(B,C)+ | ~ incident_c(D,B)+ | incident_c(D,A) )).++cnf(sum_defn_6,axiom,+ ( A != sum(B,C)+ | ~ incident_c(D,C)+ | incident_c(D,A) )).++cnf(sum_defn_7,axiom,+ ( incident_c(ax0_sk2(A,B,C),C)+ | incident_c(ax0_sk2(A,B,C),B)+ | incident_c(ax0_sk2(A,B,C),A)+ | C = sum(B,A) )).++cnf(sum_defn_8,axiom,+ ( incident_c(ax0_sk2(A,B,C),C)+ | ~ incident_c(ax0_sk2(A,B,C),C)+ | C = sum(B,A) )).++cnf(sum_defn_9,axiom,+ ( ~ incident_c(ax0_sk2(A,B,C),B)+ | incident_c(ax0_sk2(A,B,C),B)+ | incident_c(ax0_sk2(A,B,C),A)+ | C = sum(B,A) )).++cnf(sum_defn_10,axiom,+ ( ~ incident_c(ax0_sk2(A,B,C),A)+ | incident_c(ax0_sk2(A,B,C),B)+ | incident_c(ax0_sk2(A,B,C),A)+ | C = sum(B,A) )).++cnf(sum_defn_11,axiom,+ ( ~ incident_c(ax0_sk2(A,B,C),B)+ | ~ incident_c(ax0_sk2(A,B,C),C)+ | C = sum(B,A) )).++cnf(sum_defn_12,axiom,+ ( ~ incident_c(ax0_sk2(A,B,C),A)+ | ~ incident_c(ax0_sk2(A,B,C),C)+ | C = sum(B,A) )).++cnf(end_point_defn_13,axiom,+ ( ~ end_point(A,B)+ | incident_c(A,B) )).++cnf(end_point_defn_14,axiom,+ ( ~ end_point(A,B)+ | ~ part_of(C,B)+ | ~ part_of(D,B)+ | ~ incident_c(A,C)+ | ~ incident_c(A,D)+ | part_of(C,D)+ | part_of(D,C) )).++cnf(end_point_defn_15,axiom,+ ( ~ incident_c(A,B)+ | part_of(ax0_sk3(B,A),B)+ | end_point(A,B) )).++cnf(end_point_defn_16,axiom,+ ( ~ incident_c(A,B)+ | part_of(ax0_sk4(B,A),B)+ | end_point(A,B) )).++cnf(end_point_defn_17,axiom,+ ( ~ incident_c(A,B)+ | incident_c(A,ax0_sk3(B,A))+ | end_point(A,B) )).++cnf(end_point_defn_18,axiom,+ ( ~ incident_c(A,B)+ | incident_c(A,ax0_sk4(B,A))+ | end_point(A,B) )).++cnf(end_point_defn_19,axiom,+ ( ~ incident_c(A,B)+ | ~ part_of(ax0_sk3(B,A),ax0_sk4(B,A))+ | end_point(A,B) )).++cnf(end_point_defn_20,axiom,+ ( ~ incident_c(A,B)+ | ~ part_of(ax0_sk4(B,A),ax0_sk3(B,A))+ | end_point(A,B) )).++cnf(inner_point_defn_21,axiom,+ ( ~ inner_point(A,B)+ | incident_c(A,B) )).++cnf(inner_point_defn_22,axiom,+ ( ~ inner_point(A,B)+ | ~ end_point(A,B) )).++cnf(inner_point_defn_23,axiom,+ ( ~ incident_c(A,B)+ | end_point(A,B)+ | inner_point(A,B) )).++cnf(meet_defn_24,axiom,+ ( ~ meet(A,B,C)+ | incident_c(A,B) )).++cnf(meet_defn_25,axiom,+ ( ~ meet(A,B,C)+ | incident_c(A,C) )).++cnf(meet_defn_26,axiom,+ ( ~ meet(A,B,C)+ | ~ incident_c(D,B)+ | ~ incident_c(D,C)+ | end_point(D,B) )).++cnf(meet_defn_27,axiom,+ ( ~ meet(A,B,C)+ | ~ incident_c(D,B)+ | ~ incident_c(D,C)+ | end_point(D,C) )).++cnf(meet_defn_28,axiom,+ ( ~ incident_c(A,B)+ | ~ incident_c(A,C)+ | incident_c(ax0_sk5(C,B,A),B)+ | meet(A,B,C) )).++cnf(meet_defn_29,axiom,+ ( ~ incident_c(A,B)+ | ~ incident_c(A,C)+ | incident_c(ax0_sk5(C,B,A),C)+ | meet(A,B,C) )).++cnf(meet_defn_30,axiom,+ ( ~ incident_c(A,B)+ | ~ incident_c(A,C)+ | ~ end_point(ax0_sk5(C,B,A),B)+ | ~ end_point(ax0_sk5(C,B,A),C)+ | meet(A,B,C) )).++cnf(closed_defn_31,axiom,+ ( ~ closed(A)+ | ~ end_point(B,A) )).++cnf(closed_defn_32,axiom,+ ( end_point(ax0_sk6(A),A)+ | closed(A) )).++cnf(open_defn_33,axiom,+ ( ~ open(A)+ | end_point(ax0_sk7(A),A) )).++cnf(open_defn_34,axiom,+ ( ~ end_point(A,B)+ | open(B) )).++cnf(c1_35,axiom,+ ( ~ part_of(A,B)+ | A = B+ | open(A) )).++cnf(c2_36,axiom,+ ( ~ part_of(A,B)+ | ~ part_of(C,B)+ | ~ part_of(D,B)+ | ~ end_point(E,A)+ | ~ end_point(E,C)+ | ~ end_point(E,D)+ | part_of(C,D)+ | part_of(D,C)+ | part_of(A,C)+ | part_of(C,A)+ | part_of(A,D)+ | part_of(D,A) )).++cnf(c3_37,axiom,+ ( inner_point(ax0_sk8(A),A) )).++cnf(c4_38,axiom,+ ( ~ inner_point(A,B)+ | meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) )).++cnf(c4_39,axiom,+ ( ~ inner_point(A,B)+ | B = sum(ax0_sk9(A,B),ax0_sk10(A,B)) )).++cnf(c5_40,axiom,+ ( ~ end_point(A,B)+ | ~ end_point(C,B)+ | ~ end_point(D,B)+ | A = C+ | A = D+ | C = D )).++cnf(c6_41,axiom,+ ( ~ end_point(A,B)+ | end_point(ax0_sk11(A,B),B) )).++cnf(c6_42,axiom,+ ( ~ end_point(A,B)+ | A != ax0_sk11(A,B) )).++cnf(c7_43,axiom,+ ( ~ closed(A)+ | ~ meet(B,C,D)+ | A != sum(C,D)+ | ~ end_point(E,C)+ | meet(E,C,D) )).++cnf(c8_44,axiom,+ ( ~ meet(A,B,C)+ | ax0_sk12(C,B) = sum(B,C) )).++cnf(c9_45,axiom,+ ( incident_c(ax0_sk13(A,B),B)+ | incident_c(ax0_sk13(A,B),A)+ | B = A )).++cnf(c9_46,axiom,+ ( incident_c(ax0_sk13(A,B),B)+ | ~ incident_c(ax0_sk13(A,B),B)+ | B = A )).++cnf(c9_47,axiom,+ ( ~ incident_c(ax0_sk13(A,B),A)+ | incident_c(ax0_sk13(A,B),A)+ | B = A )).++cnf(c9_48,axiom,+ ( ~ incident_c(ax0_sk13(A,B),A)+ | ~ incident_c(ax0_sk13(A,B),B)+ | B = A )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO004-1.ax view
@@ -0,0 +1,54 @@+%--------------------------------------------------------------------------+% File : GEO004-1 : TPTP v7.2.0. Released v2.4.0.+% Domain : Geometry (Oriented curves)+% Axioms : Betweenness for simple curves+% Version : [EHK99] axioms.+% English :++% Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv+% : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto+% Source : [EHK99]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 1 non-Horn; 0 unit; 6 RR)+% Number of atoms : 16 ( 2 equality)+% Maximal clause size : 6 ( 3 average)+% Number of predicates : 5 ( 0 propositional; 2-4 arity)+% Number of functors : 1 ( 0 constant; 4-4 arity)+% Number of variables : 25 ( 2 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires GEO004-0.ax+% : Created by tptp2X -f tptp -t clausify:otter GEO004+1.ax+%--------------------------------------------------------------------------+cnf(between_c_defn_1,axiom,+ ( ~ between_c(A,B,C,D)+ | B != D )).++cnf(between_c_defn_2,axiom,+ ( ~ between_c(A,B,C,D)+ | part_of(ax1_sk1(D,C,B,A),A) )).++cnf(between_c_defn_3,axiom,+ ( ~ between_c(A,B,C,D)+ | end_point(B,ax1_sk1(D,C,B,A)) )).++cnf(between_c_defn_4,axiom,+ ( ~ between_c(A,B,C,D)+ | end_point(D,ax1_sk1(D,C,B,A)) )).++cnf(between_c_defn_5,axiom,+ ( ~ between_c(A,B,C,D)+ | inner_point(C,ax1_sk1(D,C,B,A)) )).++cnf(between_c_defn_6,axiom,+ ( A = B+ | ~ part_of(C,D)+ | ~ end_point(A,C)+ | ~ end_point(B,C)+ | ~ inner_point(E,C)+ | between_c(D,A,E,B) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO004-2.ax view
@@ -0,0 +1,239 @@+%--------------------------------------------------------------------------+% File : GEO004-2 : TPTP v7.2.0. Released v2.4.0.+% Domain : Geometry (Oriented curves)+% Axioms : Oriented curves+% Version : [EHK99] axioms.+% English :++% Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv+% : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto+% Source : [EHK99]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 42 ( 20 non-Horn; 2 unit; 37 RR)+% Number of atoms : 129 ( 17 equality)+% Maximal clause size : 6 ( 3 average)+% Number of predicates : 9 ( 0 propositional; 1-4 arity)+% Number of functors : 11 ( 0 constant; 1-5 arity)+% Number of variables : 125 ( 5 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires GEO004-0.ax GEO004-1.ax+% : Created by tptp2X -f tptp -t clausify:otter GEO004+2.ax+%--------------------------------------------------------------------------+cnf(between_o_defn_1,axiom,+ ( ~ between_o(A,B,C,D)+ | ordered_by(A,B,C)+ | ordered_by(A,D,C) )).++cnf(between_o_defn_2,axiom,+ ( ~ between_o(A,B,C,D)+ | ordered_by(A,B,C)+ | ordered_by(A,C,B) )).++cnf(between_o_defn_3,axiom,+ ( ~ between_o(A,B,C,D)+ | ordered_by(A,C,D)+ | ordered_by(A,D,C) )).++cnf(between_o_defn_4,axiom,+ ( ~ between_o(A,B,C,D)+ | ordered_by(A,C,D)+ | ordered_by(A,C,B) )).++cnf(between_o_defn_5,axiom,+ ( ~ ordered_by(A,B,C)+ | ~ ordered_by(A,C,D)+ | between_o(A,B,C,D) )).++cnf(between_o_defn_6,axiom,+ ( ~ ordered_by(A,B,C)+ | ~ ordered_by(A,C,D)+ | between_o(A,D,C,B) )).++cnf(start_point_defn_7,axiom,+ ( ~ start_point(A,B)+ | incident_o(A,B) )).++cnf(start_point_defn_8,axiom,+ ( ~ start_point(A,B)+ | A = C+ | ~ incident_o(C,B)+ | ordered_by(B,A,C) )).++cnf(start_point_defn_9,axiom,+ ( ~ incident_o(A,B)+ | A != ax2_sk1(B,A)+ | start_point(A,B) )).++cnf(start_point_defn_10,axiom,+ ( ~ incident_o(A,B)+ | incident_o(ax2_sk1(B,A),B)+ | start_point(A,B) )).++cnf(start_point_defn_11,axiom,+ ( ~ incident_o(A,B)+ | ~ ordered_by(B,A,ax2_sk1(B,A))+ | start_point(A,B) )).++cnf(finish_point_defn_12,axiom,+ ( ~ finish_point(A,B)+ | incident_o(A,B) )).++cnf(finish_point_defn_13,axiom,+ ( ~ finish_point(A,B)+ | A = C+ | ~ incident_o(C,B)+ | ordered_by(B,C,A) )).++cnf(finish_point_defn_14,axiom,+ ( ~ incident_o(A,B)+ | A != ax2_sk2(B,A)+ | finish_point(A,B) )).++cnf(finish_point_defn_15,axiom,+ ( ~ incident_o(A,B)+ | incident_o(ax2_sk2(B,A),B)+ | finish_point(A,B) )).++cnf(finish_point_defn_16,axiom,+ ( ~ incident_o(A,B)+ | ~ ordered_by(B,ax2_sk2(B,A),A)+ | finish_point(A,B) )).++cnf(o1_17,axiom,+ ( ~ ordered_by(A,B,C)+ | incident_o(B,A) )).++cnf(o1_18,axiom,+ ( ~ ordered_by(A,B,C)+ | incident_o(C,A) )).++cnf(o2_19,axiom,+ ( open(ax2_sk3(A)) )).++cnf(o2_20,axiom,+ ( ~ incident_o(A,B)+ | incident_c(A,ax2_sk3(B)) )).++cnf(o2_21,axiom,+ ( ~ incident_c(A,ax2_sk3(B))+ | incident_o(A,B) )).++cnf(o3_22,axiom,+ ( ~ between_o(A,B,C,D)+ | ~ incident_o(E,A)+ | incident_c(E,ax2_sk4(A,D,C,B)) )).++cnf(o3_23,axiom,+ ( ~ between_o(A,B,C,D)+ | ~ incident_c(E,ax2_sk4(A,D,C,B))+ | incident_o(E,A) )).++cnf(o3_24,axiom,+ ( ~ between_o(A,B,C,D)+ | between_c(ax2_sk4(A,D,C,B),B,C,D) )).++cnf(o3_25,axiom,+ ( incident_o(ax2_sk5(A,B,C,D,E),B)+ | incident_c(ax2_sk5(A,B,C,D,E),A)+ | ~ between_c(A,E,D,C)+ | between_o(B,E,D,C) )).++cnf(o3_26,axiom,+ ( incident_o(ax2_sk5(A,B,C,D,E),B)+ | ~ incident_o(ax2_sk5(A,B,C,D,E),B)+ | ~ between_c(A,E,D,C)+ | between_o(B,E,D,C) )).++cnf(o3_27,axiom,+ ( ~ incident_c(ax2_sk5(A,B,C,D,E),A)+ | incident_c(ax2_sk5(A,B,C,D,E),A)+ | ~ between_c(A,E,D,C)+ | between_o(B,E,D,C) )).++cnf(o3_28,axiom,+ ( ~ incident_c(ax2_sk5(A,B,C,D,E),A)+ | ~ incident_o(ax2_sk5(A,B,C,D,E),B)+ | ~ between_c(A,E,D,C)+ | between_o(B,E,D,C) )).++cnf(o4_29,axiom,+ ( start_point(ax2_sk6(A),A) )).++cnf(o5_30,axiom,+ ( ~ open(A)+ | B = C+ | ~ incident_c(B,A)+ | ~ incident_c(C,A)+ | ~ incident_o(D,ax2_sk7(A,C,B))+ | incident_c(D,A) )).++cnf(o5_31,axiom,+ ( ~ open(A)+ | B = C+ | ~ incident_c(B,A)+ | ~ incident_c(C,A)+ | ~ incident_c(D,A)+ | incident_o(D,ax2_sk7(A,C,B)) )).++cnf(o5_32,axiom,+ ( ~ open(A)+ | B = C+ | ~ incident_c(B,A)+ | ~ incident_c(C,A)+ | ordered_by(ax2_sk7(A,C,B),B,C) )).++cnf(o6_33,axiom,+ ( ordered_by(A,ax2_sk8(B,A),ax2_sk9(B,A))+ | ordered_by(B,ax2_sk8(B,A),ax2_sk9(B,A))+ | A = B )).++cnf(o6_34,axiom,+ ( ordered_by(A,ax2_sk8(B,A),ax2_sk9(B,A))+ | ~ ordered_by(A,ax2_sk8(B,A),ax2_sk9(B,A))+ | A = B )).++cnf(o6_35,axiom,+ ( ~ ordered_by(A,ax2_sk8(A,B),ax2_sk9(A,B))+ | ordered_by(A,ax2_sk8(A,B),ax2_sk9(A,B))+ | B = A )).++cnf(o6_36,axiom,+ ( ~ ordered_by(A,ax2_sk8(A,B),ax2_sk9(A,B))+ | ~ ordered_by(B,ax2_sk8(A,B),ax2_sk9(A,B))+ | B = A )).++cnf(underlying_curve_defn_37,axiom,+ ( A != underlying_curve(B)+ | ~ incident_o(C,B)+ | incident_c(C,A) )).++cnf(underlying_curve_defn_38,axiom,+ ( A != underlying_curve(B)+ | ~ incident_c(C,A)+ | incident_o(C,B) )).++cnf(underlying_curve_defn_39,axiom,+ ( incident_o(ax2_sk10(A,B),A)+ | incident_c(ax2_sk10(A,B),B)+ | B = underlying_curve(A) )).++cnf(underlying_curve_defn_40,axiom,+ ( incident_o(ax2_sk10(A,B),A)+ | ~ incident_o(ax2_sk10(A,B),A)+ | B = underlying_curve(A) )).++cnf(underlying_curve_defn_41,axiom,+ ( ~ incident_c(ax2_sk10(A,B),B)+ | incident_c(ax2_sk10(A,B),B)+ | B = underlying_curve(A) )).++cnf(underlying_curve_defn_42,axiom,+ ( ~ incident_c(ax2_sk10(A,B),B)+ | ~ incident_o(ax2_sk10(A,B),A)+ | B = underlying_curve(A) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO004-3.ax view
@@ -0,0 +1,83 @@+%--------------------------------------------------------------------------+% File : GEO004-3 : TPTP v7.2.0. Released v2.4.0.+% Domain : Geometry (Oriented curves)+% Axioms : Trajectories+% Version : [EHK99] axioms.+% English :++% Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv+% : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto+% Source : [EHK99]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 14 ( 0 non-Horn; 1 unit; 12 RR)+% Number of atoms : 29 ( 1 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 5 ( 0 propositional; 1-3 arity)+% Number of functors : 5 ( 0 constant; 1-2 arity)+% Number of variables : 34 ( 2 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : Requires GEO004-0.ax GEO004-1.ax GEO004-2.ax+% : Created by tptp2X -f tptp -t clausify:otter GEO004+3.ax+%--------------------------------------------------------------------------+cnf(connect_defn_1,axiom,+ ( ~ connect(A,B,C)+ | once(at_the_same_time(at(A,C),at(B,C))) )).++cnf(connect_defn_2,axiom,+ ( ~ once(at_the_same_time(at(A,B),at(C,B)))+ | connect(A,C,B) )).++cnf(symmetry_of_at_the_same_time_3,axiom,+ ( ~ once(at_the_same_time(A,B))+ | once(at_the_same_time(B,A)) )).++cnf(symmetry_of_at_the_same_time_4,axiom,+ ( ~ once(at_the_same_time(A,B))+ | once(at_the_same_time(B,A)) )).++cnf(assciativity_of_at_the_same_time_5,axiom,+ ( ~ once(at_the_same_time(at_the_same_time(A,B),C))+ | once(at_the_same_time(A,at_the_same_time(B,C))) )).++cnf(assciativity_of_at_the_same_time_6,axiom,+ ( ~ once(at_the_same_time(A,at_the_same_time(B,C)))+ | once(at_the_same_time(at_the_same_time(A,B),C)) )).++cnf(idempotence_of_at_the_same_time_7,axiom,+ ( ~ once(A)+ | once(at_the_same_time(A,A)) )).++cnf(conjunction_at_the_same_time_8,axiom,+ ( ~ once(at_the_same_time(A,B))+ | once(A) )).++cnf(conjunction_at_the_same_time_9,axiom,+ ( ~ once(at_the_same_time(A,B))+ | once(B) )).++cnf(at_on_trajectory_10,axiom,+ ( ~ once(at(A,B))+ | incident_o(B,trajectory_of(A)) )).++cnf(at_on_trajectory_11,axiom,+ ( ~ incident_o(A,trajectory_of(B))+ | once(at(B,A)) )).++cnf(trajectories_are_oriented_curves_12,axiom,+ ( trajectory_of(A) = ax3_sk1(A) )).++cnf(homogeneous_behaviour_13,axiom,+ ( ~ once(at_the_same_time(at(A,B),at(C,D)))+ | ~ once(at_the_same_time(at(A,E),at(C,F)))+ | ~ ordered_by(trajectory_of(A),B,E)+ | ~ ordered_by(trajectory_of(C),F,D) )).++cnf(localization_14,axiom,+ ( ~ once(A)+ | once(at_the_same_time(A,at(B,ax3_sk2(B,A)))) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GEO005-0.ax view
@@ -0,0 +1,276 @@+%--------------------------------------------------------------------------+% File : GEO005-0 : TPTP v7.2.0. Released v2.7.0.+% Domain : Geometry (Hilbert)+% Axioms : Hilbert geometry axioms, adapted to respect multi-sortedness+% Version : [Cla03] axioms.+% English :++% Refs : [Ben92] Benanav (1992), Recognising Unnecessary Clauses in Res+% : [Cla03] Claessen (2003), Email to G. Sutcliffe+% Source : [Cla03]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 31 ( 18 non-Horn; 1 unit; 31 RR)+% Number of atoms : 174 ( 43 equality)+% Maximal clause size : 16 ( 6 average)+% Number of predicates : 8 ( 0 propositional; 1-3 arity)+% Number of functors : 10 ( 1 constant; 0-3 arity)+% Number of variables : 70 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----Axiom 1 : For any two distinct points, there is a unique line through+%----them.+cnf(axiom_G1A,axiom,+ ( point_on_line(Z1,line_from_to(Z1,Z2))+ | Z1 = Z2+ | ~ point(Z1)+ | ~ point(Z2) )).++cnf(axiom_G1B,axiom,+ ( point_on_line(Z2,line_from_to(Z1,Z2))+ | Z1 = Z2+ | ~ point(Z1)+ | ~ point(Z2) )).++cnf(axiom_G1C,axiom,+ ( line(line_from_to(Z1,Z2))+ | Z1 = Z2+ | ~ point(Z1)+ | ~ point(Z2) )).++cnf(axiom_G1D,axiom,+ ( ~ point_on_line(Z1,Y3)+ | Z1 = Z2+ | ~ point_on_line(Z2,Y3)+ | Y3 = Y4+ | ~ point_on_line(Z1,Y4)+ | ~ point_on_line(Z2,Y4)+ | ~ point(Z1)+ | ~ point(Z2)+ | ~ line(Y3)+ | ~ line(Y4) )).++%----For any line, there are at least two points on the line.+cnf(axiom_G2A,axiom,+ ( point_on_line(point_1_on_line(Y1),Y1)+ | ~ line(Y1) )).++cnf(axiom_G2B,axiom,+ ( point_on_line(point_2_on_line(Y1),Y1)+ | ~ line(Y1) )).++cnf(axiom_G2C,axiom,+ ( point(point_1_on_line(Y1))+ | ~ line(Y1) )).++cnf(axiom_G2D,axiom,+ ( point(point_2_on_line(Y1))+ | ~ line(Y1) )).++cnf(axiom_G2E,axiom,+ ( point_1_on_line(Y1) != point_2_on_line(Y1)+ | ~ line(Y1) )).++%----For any line, there is a point not on the line.+cnf(axiom_G3A,axiom,+ ( ~ point_on_line(a_point_not_on_line(Y1),Y1)+ | ~ line(Y1) )).++cnf(axiom_G3B,axiom,+ ( point(a_point_not_on_line(Y1))+ | ~ line(Y1) )).++%----There exists at least one line+cnf(axiom_G4A,axiom,+ ( line(at_least_one_line) )).++%----For any plane there is a point on the plane.+cnf(axiom_G5A,axiom,+ ( ~ plane(Z1)+ | point_on_plane(a_point_on_plane(Z1),Z1) )).++cnf(axiom_G5B,axiom,+ ( ~ plane(Z1)+ | point(a_point_on_plane(Z1)) )).++%----For any plane there is a point not on the plane.+cnf(axiom_G6A,axiom,+ ( ~ plane(Z1)+ | ~ point_on_plane(a_point_not_on_plane(Z1),Z1) )).++cnf(axiom_G6B,axiom,+ ( ~ plane(Z1)+ | point(a_point_not_on_plane(Z1)) )).++%----For any three non-collinear points there is a unique plane through+%----them.+cnf(axiom_G7A,axiom,+ ( point_on_plane(X1,plane_for_points(X1,X2,X3))+ | ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | collinear(X1,X2,X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3 )).++cnf(axiom_G7B,axiom,+ ( point_on_plane(X2,plane_for_points(X1,X2,X3))+ | ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | collinear(X1,X2,X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3 )).++cnf(axiom_G7C,axiom,+ ( point_on_plane(X3,plane_for_points(X1,X2,X3))+ | ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | collinear(X1,X2,X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3 )).++cnf(axiom_G7D,axiom,+ ( plane(plane_for_points(X1,X2,X3))+ | ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | collinear(X1,X2,X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3 )).++cnf(axiom_G7E,axiom,+ ( ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | collinear(X1,X2,X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | ~ point_on_plane(X1,Z1)+ | ~ point_on_plane(X2,Z1)+ | ~ point_on_plane(X3,Z1)+ | ~ plane(Z1)+ | ~ point_on_plane(X1,Z2)+ | ~ point_on_plane(X2,Z2)+ | ~ point_on_plane(X3,Z2)+ | ~ plane(Z2)+ | Z1 = Z2 )).++%----If two points of a line are in the same plane then every point+%----of that line is in the plane.+cnf(axiom_G8A,axiom,+ ( ~ point_on_line(X1,Y1)+ | ~ point_on_line(X2,Y1)+ | ~ point_on_plane(X1,Z1)+ | ~ point_on_plane(X2,Z1)+ | ~ plane(Z1)+ | ~ point(X1)+ | ~ point(X2)+ | ~ line(Y1)+ | X1 = X2+ | line_on_plane(Y1,Z1) )).++%----If two planes have a point in common they have at least one more+%----point in common.+cnf(axiom_G9A,axiom,+ ( ~ plane(Z1)+ | ~ plane(Z2)+ | Z1 = Z2+ | ~ point_on_plane(X1,Z1)+ | ~ point_on_plane(X1,Z2)+ | ~ point(X1)+ | point_on_plane(common_point_on_planes(Z1,Z2,X1),Z1) )).++cnf(axiom_G9B,axiom,+ ( ~ plane(Z1)+ | ~ plane(Z2)+ | Z1 = Z2+ | ~ point_on_plane(X1,Z1)+ | ~ point_on_plane(X1,Z2)+ | ~ point(X1)+ | point_on_plane(common_point_on_planes(Z1,Z2,X1),Z2) )).++cnf(axiom_G9C,axiom,+ ( ~ plane(Z1)+ | ~ plane(Z2)+ | Z1 = Z2+ | ~ point_on_plane(X1,Z1)+ | ~ point_on_plane(X1,Z2)+ | ~ point(X1)+ | point(common_point_on_planes(Z1,Z2,X1)) )).++cnf(axiom_G9D,axiom,+ ( ~ plane(Z1)+ | ~ plane(Z2)+ | Z1 = Z2+ | ~ point_on_plane(X1,Z1)+ | ~ point_on_plane(X1,Z2)+ | ~ point(X1)+ | X1 != common_point_on_planes(Z1,Z2,X1) )).++%----Three distinct points are collinear if and only if there is a line+%----through them.+cnf(axiom_G10A,axiom,+ ( ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | point_on_line(X1,line_through_3_points(X1,X2,X3))+ | ~ collinear(X1,X2,X3) )).++cnf(axiom_G10B,axiom,+ ( ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | point_on_line(X2,line_through_3_points(X1,X2,X3))+ | ~ collinear(X1,X2,X3) )).++cnf(axiom_G10C,axiom,+ ( ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | point_on_line(X3,line_through_3_points(X1,X2,X3))+ | ~ collinear(X1,X2,X3) )).++cnf(axiom_G10D,axiom,+ ( ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | line(line_through_3_points(X1,X2,X3))+ | ~ collinear(X1,X2,X3) )).++cnf(axiom_G10E,axiom,+ ( collinear(X1,X2,X3)+ | ~ point_on_line(X1,Y)+ | ~ point_on_line(X2,Y)+ | ~ point_on_line(X3,Y)+ | ~ point(X1)+ | ~ point(X2)+ | ~ point(X3)+ | X1 = X2+ | X1 = X3+ | X2 = X3+ | ~ line(Y) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP001-0.ax view
@@ -0,0 +1,56 @@+%--------------------------------------------------------------------------+% File : GRP001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Group theory (Monoids)+% Axioms : Monoid axioms+% Version : [MOW76] axioms.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Ver93] Veroff (1993), Email to G. Sutcliffe+% Source : [MOW76]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 0 non-Horn; 3 unit; 3 RR)+% Number of atoms : 14 ( 1 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 2 ( 1 constant; 0-2 arity)+% Number of variables : 20 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : [Ver93] pointed out that the traditional labelling of the+% closure and well_definedness axioms was wrong. The correct+% labelling indicates that product is a total function.+% : I cut down the [MOW76] group axioms for this.+%--------------------------------------------------------------------------+cnf(left_identity,axiom,+ ( product(identity,X,X) )).++cnf(right_identity,axiom,+ ( product(X,identity,X) )).++%----This axiom is called closure or totality in some axiomatisations+cnf(total_function1,axiom,+ ( product(X,Y,multiply(X,Y)) )).++%----This axiom is called well_definedness in some axiomatisations+cnf(total_function2,axiom,+ ( ~ product(X,Y,Z)+ | ~ product(X,Y,W)+ | Z = W )).++cnf(associativity1,axiom,+ ( ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(U,Z,W)+ | product(X,V,W) )).++cnf(associativity2,axiom,+ ( ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(X,V,W)+ | product(U,Z,W) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP002-0.ax view
@@ -0,0 +1,50 @@+%--------------------------------------------------------------------------+% File : GRP002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Group Theory (Semigroups)+% Axioms : Semigroup axioms+% Version : [MOW76] axioms.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Ver93] Veroff (1993), Email to G. Sutcliffe+% Source : [MOW76]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 4 ( 0 non-Horn; 1 unit; 3 RR)+% Number of atoms : 12 ( 1 equality)+% Maximal clause size : 4 ( 3 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 1 ( 0 constant; 2-2 arity)+% Number of variables : 18 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : [Ver93] pointed out that the traditional labelling of the+% closure and well_definedness axioms was wrong. The correct+% labelling indicates that product is a total function.+% : I cut down the [MOW76] group axioms for this.+%--------------------------------------------------------------------------+%----This axiom is called closure or totality in some axiomatisations+cnf(total_function1,axiom,+ ( product(X,Y,multiply(X,Y)) )).++%----This axiom is called well_definedness in some axiomatisations+cnf(total_function2,axiom,+ ( ~ product(X,Y,Z)+ | ~ product(X,Y,W)+ | Z = W )).++cnf(associativity1,axiom,+ ( ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(U,Z,W)+ | product(X,V,W) )).++cnf(associativity2,axiom,+ ( ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(X,V,W)+ | product(U,Z,W) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP003-0.ax view
@@ -0,0 +1,63 @@+%--------------------------------------------------------------------------+% File : GRP003-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Group Theory+% Axioms : Group theory axioms+% Version : [MOW76] axioms.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% : [Ver93] Veroff (1993), Email to G. Sutcliffe+% Source : [MOW76]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 8 ( 0 non-Horn; 5 unit; 3 RR)+% Number of atoms : 16 ( 1 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 3 ( 1 constant; 0-2 arity)+% Number of variables : 22 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : [Ver93] pointed out that the traditional labelling of the+% closure and well_definedness axioms was wrong. The correct+% labelling indicates that product is a total function.+% : These axioms are used in [Wos88] p.184.+%--------------------------------------------------------------------------+cnf(left_identity,axiom,+ ( product(identity,X,X) )).++cnf(right_identity,axiom,+ ( product(X,identity,X) )).++cnf(left_inverse,axiom,+ ( product(inverse(X),X,identity) )).++cnf(right_inverse,axiom,+ ( product(X,inverse(X),identity) )).++%----This axiom is called closure or totality in some axiomatisations+cnf(total_function1,axiom,+ ( product(X,Y,multiply(X,Y)) )).++%----This axiom is called well_definedness in some axiomatisations+cnf(total_function2,axiom,+ ( ~ product(X,Y,Z)+ | ~ product(X,Y,W)+ | Z = W )).++cnf(associativity1,axiom,+ ( ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(U,Z,W)+ | product(X,V,W) )).++cnf(associativity2,axiom,+ ( ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(X,V,W)+ | product(U,Z,W) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP003-1.ax view
@@ -0,0 +1,39 @@+%--------------------------------------------------------------------------+% File : GRP003-1 : TPTP v7.2.0. Released v1.0.0.+% Domain : Group Theory (Subgroups)+% Axioms : Subgroup axioms for the GRP003 group theory axioms+% Version : [MOW76] axioms : Reduced > Complete.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% Source : [MOW76]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 2 ( 0 non-Horn; 0 unit; 2 RR)+% Number of atoms : 6 ( 0 equality)+% Maximal clause size : 4 ( 3 average)+% Number of predicates : 2 ( 0 propositional; 1-3 arity)+% Number of functors : 1 ( 0 constant; 1-1 arity)+% Number of variables : 4 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires GRP003-0.ax+% : The dependent axiom, that identity is in every subgroup, is+% omitted.+% : These axioms are used in [Wos88] p.187, but with the dependent+% axiom.+%--------------------------------------------------------------------------+cnf(closure_of_inverse,axiom,+ ( ~ subgroup_member(X)+ | subgroup_member(inverse(X)) )).++cnf(closure_of_product,axiom,+ ( ~ subgroup_member(A)+ | ~ subgroup_member(B)+ | ~ product(A,B,C)+ | subgroup_member(C) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP003-2.ax view
@@ -0,0 +1,33 @@+%--------------------------------------------------------------------------+% File : GRP003-2 : TPTP v7.2.0. Released v1.0.0.+% Domain : Group Theory (Subgroups)+% Axioms : Subgroup axioms for the GRP003 group theory axioms+% Version : [Wos65] axioms.+% English :++% Refs : [Wos65] Wos (1965), Unpublished Note+% Source : [SPRFN]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 1 ( 0 non-Horn; 0 unit; 1 RR)+% Number of atoms : 4 ( 0 equality)+% Maximal clause size : 4 ( 4 average)+% Number of predicates : 2 ( 0 propositional; 1-3 arity)+% Number of functors : 1 ( 0 constant; 1-1 arity)+% Number of variables : 3 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires GRP003-0.ax+% The closure_of_product_and_inverse axiom is derived from the+% two basic subgroup axioms - closure of product and+% closure_of_inverse - by resolution.+%--------------------------------------------------------------------------+cnf(closure_of_product_and_inverse,axiom,+ ( ~ subgroup_member(A)+ | ~ subgroup_member(B)+ | ~ product(A,inverse(B),C)+ | subgroup_member(C) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP004-0.ax view
@@ -0,0 +1,45 @@+%--------------------------------------------------------------------------+% File : GRP004-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Group Theory+% Axioms : Group theory (equality) axioms+% Version : [MOW76] (equality) axioms :+% Reduced > Complete.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 0 RR)+% Number of atoms : 3 ( 3 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 3 ( 1 constant; 0-2 arity)+% Number of variables : 5 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : [MOW76] also contains redundant right_identity and+% right_inverse axioms.+% : These axioms are also used in [Wos88] p.186, also with+% right_identity and right_inverse.+%--------------------------------------------------------------------------+%----For any x and y in the group x*y is also in the group. No clause+%----is needed here since this is an instance of reflexivity++%----There exists an identity element+cnf(left_identity,axiom,+ ( multiply(identity,X) = X )).++%----For any x in the group, there exists an element y such that x*y = y*x+%----= identity.+cnf(left_inverse,axiom,+ ( multiply(inverse(X),X) = identity )).++%----The operation '*' is associative+cnf(associativity,axiom,+ ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP004-1.ax view
@@ -0,0 +1,38 @@+%--------------------------------------------------------------------------+% File : GRP004-1 : TPTP v7.2.0. Released v1.0.0.+% Domain : Group Theory (Subgroups)+% Axioms : Subgroup (equality) axioms+% Version : [MOW76] (equality) axioms :+% Reduced > Complete.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 2 ( 0 non-Horn; 0 unit; 2 RR)+% Number of atoms : 6 ( 1 equality)+% Maximal clause size : 4 ( 3 average)+% Number of predicates : 2 ( 0 propositional; 1-2 arity)+% Number of functors : 2 ( 0 constant; 1-2 arity)+% Number of variables : 4 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires GRP004-0.ax+% : The redundant axiom that states that the identity element is in+% the subgroup, present in the [MOW76] presentation, is omitted+% here.+%--------------------------------------------------------------------------+cnf(closure_of_inverse,axiom,+ ( ~ subgroup_member(X)+ | subgroup_member(inverse(X)) )).++cnf(closure_of_multiply,axiom,+ ( ~ subgroup_member(X)+ | ~ subgroup_member(Y)+ | multiply(X,Y) != Z+ | subgroup_member(Z) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP004-2.ax view
@@ -0,0 +1,63 @@+%--------------------------------------------------------------------------+% File : GRP004-2 : TPTP v7.2.0. Bugfixed v1.2.0.+% Domain : Group Theory (Lattice Ordered)+% Axioms : Lattice ordered group (equality) axioms+% Version : [Fuc94] (equality) axioms.+% English :++% Refs : [Fuc94] Fuchs (1994), The Application of Goal-Orientated Heuri+% : [Sch95] Schulz (1995), Explanation Based Learning for Distribu+% Source : [Sch95]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 12 ( 0 non-Horn; 12 unit; 0 RR)+% Number of atoms : 12 ( 12 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 3 ( 0 constant; 2-2 arity)+% Number of variables : 28 ( 2 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires GRP004-0.ax+%--------------------------------------------------------------------------+%----Specification of the least upper bound and greatest lower bound+cnf(symmetry_of_glb,axiom,+ ( greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X) )).++cnf(symmetry_of_lub,axiom,+ ( least_upper_bound(X,Y) = least_upper_bound(Y,X) )).++cnf(associativity_of_glb,axiom,+ ( greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z) )).++cnf(associativity_of_lub,axiom,+ ( least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z) )).++cnf(idempotence_of_lub,axiom,+ ( least_upper_bound(X,X) = X )).++cnf(idempotence_of_gld,axiom,+ ( greatest_lower_bound(X,X) = X )).++cnf(lub_absorbtion,axiom,+ ( least_upper_bound(X,greatest_lower_bound(X,Y)) = X )).++cnf(glb_absorbtion,axiom,+ ( greatest_lower_bound(X,least_upper_bound(X,Y)) = X )).++%----Monotony of multiply+cnf(monotony_lub1,axiom,+ ( multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)) )).++cnf(monotony_glb1,axiom,+ ( multiply(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(multiply(X,Y),multiply(X,Z)) )).++cnf(monotony_lub2,axiom,+ ( multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)) )).++cnf(monotony_glb2,axiom,+ ( multiply(greatest_lower_bound(Y,Z),X) = greatest_lower_bound(multiply(Y,X),multiply(Z,X)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP005-0.ax view
@@ -0,0 +1,64 @@+%--------------------------------------------------------------------------+% File : GRP005-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Group Theory+% Axioms : Group theory axioms+% Version : [Ver92] axioms.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% : [Ver92] Veroff (1992), Email to G. Sutcliffe+% : [Ver93] Veroff (1993), Email to G. Sutcliffe+% Source : [Ver92]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 7 ( 0 non-Horn; 3 unit; 4 RR)+% Number of atoms : 17 ( 0 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 3 ( 1 constant; 0-2 arity)+% Number of variables : 24 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : [Ver93] pointed out that the traditional labelling of the+% closure and well_definedness axioms was wrong. The correct+% labelling indicates that product is a total function.+% : Note that the axioms of equality are dependent on this set!+% : These axioms are used in [Wos88] p.185.+%--------------------------------------------------------------------------+cnf(left_identity,axiom,+ ( product(identity,X,X) )).++cnf(left_inverse,axiom,+ ( product(inverse(X),X,identity) )).++%----This axiom is called closure or totality in some axiomatisations+cnf(total_function1,axiom,+ ( product(X,Y,multiply(X,Y)) )).++%----This axiom is called well_definedness in some axiomatisations+cnf(total_function2,axiom,+ ( ~ product(X,Y,Z)+ | ~ product(X,Y,W)+ | equalish(Z,W) )).++cnf(associativity1,axiom,+ ( ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(U,Z,W)+ | product(X,V,W) )).++cnf(associativity2,axiom,+ ( ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(X,V,W)+ | product(U,Z,W) )).++cnf(product_substitution3,axiom,+ ( ~ equalish(X,Y)+ | ~ product(W,Z,X)+ | product(W,Z,Y) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP006-0.ax view
@@ -0,0 +1,76 @@+%--------------------------------------------------------------------------+% File : GRP006-0 : TPTP v7.2.0. Bugfixed v1.2.1.+% Domain : Group Theory (Named groups)+% Axioms : Group theory (Named groups) axioms+% Version : [MOW76] axioms.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 11 ( 0 non-Horn; 5 unit; 6 RR)+% Number of atoms : 24 ( 1 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 3 ( 0 propositional; 2-4 arity)+% Number of functors : 3 ( 0 constant; 1-3 arity)+% Number of variables : 36 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : [Ver93] pointed out that the traditional labelling of the+% closure and well_definedness axioms was wrong. The correct+% labelling indicates that product is a total function.+% Bugfixes : v1.2.1 - Clause associativity1 fixed. This is a typo in+% [MOW76], and is wrong in [ANL].+%--------------------------------------------------------------------------+cnf(identity_in_group,axiom,+ ( group_member(identity_for(Xg),Xg) )).++cnf(left_identity,axiom,+ ( product(Xg,identity_for(Xg),X,X) )).++cnf(right_identity,axiom,+ ( product(Xg,X,identity_for(Xg),X) )).++cnf(inverse_in_group,axiom,+ ( ~ group_member(X,Xg)+ | group_member(inverse(Xg,X),Xg) )).++cnf(left_inverse,axiom,+ ( product(Xg,inverse(Xg,X),X,identity_for(Xg)) )).++cnf(right_inverse,axiom,+ ( product(Xg,X,inverse(Xg,X),identity_for(Xg)) )).++%----These axioms are called closure or totality in some axiomatisations+cnf(total_function1_1,axiom,+ ( ~ group_member(X,Xg)+ | ~ group_member(Y,Xg)+ | product(Xg,X,Y,multiply(Xg,X,Y)) )).++cnf(total_function1_2,axiom,+ ( ~ group_member(X,Xg)+ | ~ group_member(Y,Xg)+ | group_member(multiply(Xg,X,Y),Xg) )).++%----This axiom is called well_definedness in some axiomatisations+cnf(total_function2,axiom,+ ( ~ product(Xg,X,Y,Z)+ | ~ product(Xg,X,Y,W)+ | W = Z )).++cnf(associativity1,axiom,+ ( ~ product(Xg,X,Y,Xy)+ | ~ product(Xg,Y,Z,Yz)+ | ~ product(Xg,Xy,Z,Xyz)+ | product(Xg,X,Yz,Xyz) )).++cnf(associativity2,axiom,+ ( ~ product(Xg,X,Y,Xy)+ | ~ product(Xg,Y,Z,Yz)+ | ~ product(Xg,X,Yz,Xyz)+ | product(Xg,Xy,Z,Xyz) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP008-0.ax view
@@ -0,0 +1,29 @@+%--------------------------------------------------------------------------+% File : GRP008-0 : TPTP v7.2.0. Released v2.2.0.+% Domain : Group Theory (Semigroups)+% Axioms : Semigroups axioms+% Version : [MP96] (equality) axioms.+% English :++% Refs : [McC98] McCune (1998), Email to G. Sutcliffe+% : [MP96] McCune & Padmanabhan (1996), Automated Deduction in Eq+% Source : [McC98]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 1 ( 0 non-Horn; 1 unit; 0 RR)+% Number of atoms : 1 ( 1 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 1 ( 0 constant; 2-2 arity)+% Number of variables : 3 ( 0 singleton)+% Maximal term depth : 3 ( 3 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----Associativity:+cnf(associativity_of_multiply,axiom,+ ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/GRP008-1.ax view
@@ -0,0 +1,34 @@+%--------------------------------------------------------------------------+% File : GRP008-1 : TPTP v7.2.0. Released v2.2.0.+% Domain : Group Theory (Cancellative semigroups)+% Axioms : Cancellative semigroups axioms+% Version : [MP96] (equality) axioms.+% English :++% Refs : [McC98] McCune (1998), Email to G. Sutcliffe+% : [MP96] McCune & Padmanabhan (1996), Automated Deduction in Eq+% Source : [McC98]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 2 ( 0 non-Horn; 0 unit; 2 RR)+% Number of atoms : 4 ( 4 equality)+% Maximal clause size : 2 ( 2 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 1 ( 0 constant; 2-2 arity)+% Number of variables : 6 ( 0 singleton)+% Maximal term depth : 2 ( 2 average)+% SPC : ++% Comments : Requires GRP008-0.ax+%--------------------------------------------------------------------------+%----Left and right cancellation:+cnf(right_cancellation,axiom,+ ( multiply(A,B) != multiply(C,B)+ | A = C )).++cnf(left_cancellation,axiom,+ ( multiply(A,B) != multiply(A,C)+ | B = C )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HEN001-0.ax view
@@ -0,0 +1,71 @@+%--------------------------------------------------------------------------+% File : HEN001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Henkin Models+% Axioms : Henkin model axioms+% Version : [MOW76] axioms.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% Source : [MOW76]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 9 ( 0 non-Horn; 3 unit; 6 RR)+% Number of atoms : 21 ( 2 equality)+% Maximal clause size : 6 ( 2 average)+% Number of predicates : 3 ( 0 propositional; 2-3 arity)+% Number of functors : 3 ( 2 constant; 0-2 arity)+% Number of variables : 25 ( 3 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----A0: definition of less than or equal to+cnf(quotient_less_equal,axiom,+ ( ~ less_equal(X,Y)+ | quotient(X,Y,zero) )).++cnf(less_equal_quotient,axiom,+ ( ~ quotient(X,Y,zero)+ | less_equal(X,Y) )).++%----A1: x/y <= x+cnf(divisor_existence,axiom,+ ( ~ quotient(X,Y,Z)+ | less_equal(Z,X) )).++%----A2: (x/z) / (y/z) <= (x/y) / z+cnf(quotient_property,axiom,+ ( ~ quotient(X,Y,V1)+ | ~ quotient(Y,Z,V2)+ | ~ quotient(X,Z,V3)+ | ~ quotient(V3,V2,V4)+ | ~ quotient(V1,Z,V5)+ | less_equal(V4,V5) )).++%----A3: 0 <= x+cnf(zero_is_smallest,axiom,+ ( less_equal(zero,X) )).++%----A4: x <= y and y <= x implies that x = y+cnf(less_equal_and_equal,axiom,+ ( ~ less_equal(X,Y)+ | ~ less_equal(Y,X)+ | X = Y )).++%----A5: x <= identity (Thus an implicative model with unit 1)+cnf(identity_is_largest,axiom,+ ( less_equal(X,identity) )).++%----closure of '/'+cnf(closure,axiom,+ ( quotient(X,Y,divide(X,Y)) )).++%----'/' is well defined+cnf(well_defined,axiom,+ ( ~ quotient(X,Y,Z)+ | ~ quotient(X,Y,W)+ | Z = W )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HEN002-0.ax view
@@ -0,0 +1,56 @@+%--------------------------------------------------------------------------+% File : HEN002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Henkin Models+% Axioms : Henkin model axioms+% Version : [MOW76] axioms.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 7 ( 0 non-Horn; 4 unit; 3 RR)+% Number of atoms : 11 ( 3 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 3 ( 2 constant; 0-2 arity)+% Number of variables : 13 ( 3 singleton)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----A0: Definition of less_equal+cnf(quotient_less_equal1,axiom,+ ( ~ less_equal(X,Y)+ | divide(X,Y) = zero )).++cnf(quotient_less_equal2,axiom,+ ( divide(X,Y) != zero+ | less_equal(X,Y) )).++%----A1: x/y <= x+cnf(quotient_smaller_than_numerator,axiom,+ ( less_equal(divide(X,Y),X) )).++%----A2: (x/z) / (y/z) <= (x/y) / z+cnf(quotient_property,axiom,+ ( less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) )).++%----A3: 0<=x+cnf(zero_is_smallest,axiom,+ ( less_equal(zero,X) )).++%----A4: x <= y and y <= x implies that x = y+cnf(less_equal_and_equal,axiom,+ ( ~ less_equal(X,Y)+ | ~ less_equal(Y,X)+ | X = Y )).++%----A5: x <= identity (Thus an implicative model with unit )+cnf(identity_is_largest,axiom,+ ( less_equal(X,identity) )).++%----Implicit in equality formulation: '/' is well defined+%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HEN003-0.ax view
@@ -0,0 +1,54 @@+%--------------------------------------------------------------------------+% File : HEN003-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Henkin Models+% Axioms : Henkin model (equality) axioms+% Version : [MOW76] (equality) axioms :+% Reduced > Complete.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 5 ( 0 non-Horn; 4 unit; 1 RR)+% Number of atoms : 7 ( 7 equality)+% Maximal clause size : 3 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 3 ( 2 constant; 0-2 arity)+% Number of variables : 9 ( 3 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : less_equal replaced by divides+%--------------------------------------------------------------------------+%----A0: Definition of less_equal, used to replace all occurrences+%----of less_equal(x,y)+%---- --less_equal(x,y) | (divide(x,y) = zero).+%---- (divide(x,y) != zero) | ++less_equal(x,y).++%----A1: x/y <= x+cnf(quotient_smaller_than_numerator,axiom,+ ( divide(divide(X,Y),X) = zero )).++%----A2: (x/z) / (y/z) <= (x/y) / z+cnf(quotient_property,axiom,+ ( divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero )).++%----A3: 0<=x NOTE: this axiom is dependant+cnf(zero_is_smallest,axiom,+ ( divide(zero,X) = zero )).++%----A4: x <= y and y <= x implies that x = y+cnf(divide_and_equal,axiom,+ ( divide(X,Y) != zero+ | divide(Y,X) != zero+ | X = Y )).++%----A5: x <= 1 (Thus an implicative model with unit )+cnf(identity_is_largest,axiom,+ ( divide(X,identity) = zero )).++%----Implicit in equality formulation: '/' is well defined++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HWC001-0.ax view
@@ -0,0 +1,55 @@+%--------------------------------------------------------------------------+% File : HWC001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Hardware Creation+% Axioms : Definitions of AND, OR and NOT+% Version : [WO+92] axioms.+% Axiom formulation : Ground axioms.+% English :++% Refs : [WO+92] Wos et al. (1992), Automated Reasoning: Introduction a+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 10 ( 0 non-Horn; 10 unit; 10 RR)+% Number of atoms : 10 ( 10 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 2 constant; 0-2 arity)+% Number of variables : 0 ( 0 singleton)+% Maximal term depth : 2 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+cnf(and_definition1,axiom,+ ( and(n0,n0) = n0 )).++cnf(and_definition2,axiom,+ ( and(n0,n1) = n0 )).++cnf(and_definition3,axiom,+ ( and(n1,n0) = n0 )).++cnf(and_definition4,axiom,+ ( and(n1,n1) = n1 )).++cnf(or_definition1,axiom,+ ( or(n0,n0) = n0 )).++cnf(or_definition2,axiom,+ ( or(n0,n1) = n1 )).++cnf(or_definition3,axiom,+ ( or(n1,n0) = n1 )).++cnf(or_definition4,axiom,+ ( or(n1,n1) = n1 )).++cnf(not_definition1,axiom,+ ( not(n0) = n1 )).++cnf(not_definition2,axiom,+ ( not(n1) = n0 )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HWC002-0.ax view
@@ -0,0 +1,43 @@+%--------------------------------------------------------------------------+% File : HWC002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Hardware Creation+% Axioms : Definitions of AND, OR and NOT+% Version : [WO+92] axioms.+% Axiom formulation : Non-ground axioms.+% English :++% Refs : [WO+92] Wos et al. (1992), Automated Reasoning: Introduction a+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 2 RR)+% Number of atoms : 6 ( 6 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 2 constant; 0-2 arity)+% Number of variables : 4 ( 2 singleton)+% Maximal term depth : 2 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+cnf(and_definition1,axiom,+ ( and(X,n0) = n0 )).++cnf(and_definition2,axiom,+ ( and(X,n1) = X )).++cnf(or_definition1,axiom,+ ( or(X,n0) = X )).++cnf(or_definition2,axiom,+ ( or(X,n1) = n1 )).++cnf(not_definition1,axiom,+ ( not(n0) = n1 )).++cnf(not_definition2,axiom,+ ( not(n1) = n0 )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HWV001-0.ax view
@@ -0,0 +1,147 @@+%--------------------------------------------------------------------------+% File : HWV001-0 : TPTP v7.2.0. Released v2.1.0.+% Domain : Hardware Verification+% Axioms : Connections, faults, and gates.+% Version : [Gei96] axioms.+% English :++% Refs : [Gei96] Geisler (1996), Email to G. Sutcliffe+% Source : [Gei96]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 21 ( 3 non-Horn; 2 unit; 21 RR)+% Number of atoms : 76 ( 0 equality)+% Maximal clause size : 5 ( 4 average)+% Number of predicates : 5 ( 0 propositional; 2-2 arity)+% Number of functors : 10 ( 8 constant; 0-2 arity)+% Number of variables : 28 ( 3 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----Properties of connections and values+cnf(value_propagation1,axiom,+ ( ~ connection(P1,P2)+ | ~ value(P1,V)+ | value(P2,V) )).++cnf(value_propagation2,axiom,+ ( ~ connection(P1,P2)+ | ~ value(P2,V)+ | value(P1,V) )).++cnf(unique_value,axiom,+ ( ~ value(P,V1)+ | ~ value(P,V2)+ | equal_value(V1,V2) )).++cnf(equal_value1,axiom,+ ( ~ equal_value(n0,n1) )).++cnf(equal_value2,axiom,+ ( ~ equal_value(n1,n0) )).++%----Fault model+cnf(not_ok_and_abnormal,axiom,+ ( ~ mode(K,ok)+ | ~ mode(K,abnormal) )).++cnf(ok_or_abnormal,axiom,+ ( ~ type(K,Any)+ | mode(K,ok)+ | mode(K,abnormal) )).++%----AND gate+cnf(and_0x_0,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,and)+ | ~ value(in(Any,K),n0)+ | value(out(n1,K),n0) )).++cnf(and_11_1,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,and)+ | ~ value(in(n1,K),n1)+ | ~ value(in(n2,K),n1)+ | value(out(n1,K),n1) )).++cnf(and_0_00,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,and)+ | ~ value(out(n1,K),n0)+ | value(in(n1,K),n0)+ | value(in(n2,K),n0) )).++cnf(and_1_1x,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,and)+ | ~ value(out(n1,K),n1)+ | value(in(n1,K),n1) )).++cnf(and_1_x1,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,and)+ | ~ value(out(n1,K),n1)+ | value(in(n2,K),n1) )).++%----OR gate+cnf(or_1x_1,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,or)+ | ~ value(in(Any,K),n1)+ | value(out(n1,K),n1) )).++cnf(or_00_0,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,or)+ | ~ value(in(n1,K),n0)+ | ~ value(in(n2,K),n0)+ | value(out(n1,K),n0) )).++cnf(or_1_11,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,or)+ | ~ value(out(n1,K),n1)+ | value(in(n1,K),n1)+ | value(in(n2,K),n1) )).++cnf(or_0_0x,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,or)+ | ~ value(out(n1,K),n0)+ | value(in(n1,K),n0) )).++cnf(or_0_01,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,or)+ | ~ value(out(n1,K),n0)+ | value(in(n2,K),n0) )).++%----NOT gate+cnf(not_0_1_fw,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,not)+ | ~ value(in(n1,K),n0)+ | value(out(n1,K),n1) )).++cnf(not_1_0_fw,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,not)+ | ~ value(in(n1,K),n1)+ | value(out(n1,K),n0) )).++cnf(not_0_1_bw,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,not)+ | ~ value(out(n1,K),n0)+ | value(in(n1,K),n1) )).++cnf(not_1_0_bw,axiom,+ ( ~ mode(K,ok)+ | ~ type(K,not)+ | ~ value(out(n1,K),n1)+ | value(in(n1,K),n0) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HWV001-1.ax view
@@ -0,0 +1,78 @@+%--------------------------------------------------------------------------+% File : HWV001-1 : TPTP v7.2.0. Released v2.1.0.+% Domain : Hardware Verification+% Axioms : Half-adder.+% Version : [Gei96] axioms.+% English :++% Refs : [Gei96] Geisler (1996), Email to G. Sutcliffe+% Source : [Gei96]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 13 ( 0 non-Horn; 0 unit; 13 RR)+% Number of atoms : 26 ( 0 equality)+% Maximal clause size : 2 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 14 ( 8 constant; 0-2 arity)+% Number of variables : 13 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires HWV001-0.ax+%--------------------------------------------------------------------------+%----Composition of halfadder+cnf(halfadder_and1,axiom,+ ( ~ type(X,halfadder)+ | type(and1(X),and) )).++cnf(halfadder_and2,axiom,+ ( ~ type(X,halfadder)+ | type(and2(X),and) )).++cnf(halfadder_not1,axiom,+ ( ~ type(X,halfadder)+ | type(not1(X),not) )).++cnf(halfadder_or1,axiom,+ ( ~ type(X,halfadder)+ | type(or1(X),or) )).++%----Connections of halfadder+cnf(halfadder_connection_in1_in1or1,axiom,+ ( ~ type(X,halfadder)+ | connection(in(n1,X),in(n1,or1(X))) )).++cnf(halfadder_connection_in2_in2or1,axiom,+ ( ~ type(X,halfadder)+ | connection(in(n2,X),in(n2,or1(X))) )).++cnf(halfadder_connection_in1_in1and2,axiom,+ ( ~ type(X,halfadder)+ | connection(in(n1,X),in(n1,and2(X))) )).++cnf(halfadder_connection_in2_in2and2,axiom,+ ( ~ type(X,halfadder)+ | connection(in(n2,X),in(n2,and2(X))) )).++cnf(halfadder_connection_outs_out1and1,axiom,+ ( ~ type(X,halfadder)+ | connection(out(s,X),out(n1,and1(X))) )).++cnf(halfadder_connection_outc_out1and2,axiom,+ ( ~ type(X,halfadder)+ | connection(out(c,X),out(n1,and2(X))) )).++cnf(halfadder_connection_out1or1_in1_and1,axiom,+ ( ~ type(X,halfadder)+ | connection(out(n1,or1(X)),in(n1,and1(X))) )).++cnf(halfadder_connection_out1and2_in1not1,axiom,+ ( ~ type(X,halfadder)+ | connection(out(n1,and2(X)),in(n1,not1(X))) )).++cnf(halfadder_connection_out1not1_in2and1,axiom,+ ( ~ type(X,halfadder)+ | connection(out(n1,not1(X)),in(n2,and1(X))) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HWV001-2.ax view
@@ -0,0 +1,70 @@+%--------------------------------------------------------------------------+% File : HWV001-2 : TPTP v7.2.0. Released v2.1.0.+% Domain : Hardware Verification+% Axioms : Full-adder.+% Version : [Gei96] axioms.+% English :++% Refs : [Gei96] Geisler (1996), Email to G. Sutcliffe+% Source : [Gei96]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 11 ( 0 non-Horn; 0 unit; 11 RR)+% Number of atoms : 22 ( 0 equality)+% Maximal clause size : 2 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 12 ( 7 constant; 0-2 arity)+% Number of variables : 11 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires HWV001-0.ax HWV001-1.ax+%--------------------------------------------------------------------------+%----Composition of fulladder+cnf(fulladder_halfadder1,axiom,+ ( ~ type(X,fulladder)+ | type(h1(X),halfadder) )).++cnf(fulladder_halfadder2,axiom,+ ( ~ type(X,fulladder)+ | type(h2(X),halfadder) )).++cnf(fulladder_or1,axiom,+ ( ~ type(X,fulladder)+ | type(or1(X),or) )).++%----Connections of fulladder+cnf(fulladder_connection_outsh1_in2h2,axiom,+ ( ~ type(X,fulladder)+ | connection(out(s,h1(X)),in(n2,h2(X))) )).++cnf(fulladder_connection_outch1_in2or1,axiom,+ ( ~ type(X,fulladder)+ | connection(out(c,h1(X)),in(n2,or1(X))) )).++cnf(fulladder_connection_outch2_in1or1,axiom,+ ( ~ type(X,fulladder)+ | connection(out(c,h2(X)),in(n1,or1(X))) )).++cnf(fulladder_connection_in1_in1h2,axiom,+ ( ~ type(X,fulladder)+ | connection(in(n1,X),in(n1,h2(X))) )).++cnf(fulladder_connection_in2_in1h1,axiom,+ ( ~ type(X,fulladder)+ | connection(in(n2,X),in(n1,h1(X))) )).++cnf(fulladder_connection_inc_in2h1,axiom,+ ( ~ type(X,fulladder)+ | connection(in(c,X),in(n2,h1(X))) )).++cnf(fulladder_connection_outs_outsh2,axiom,+ ( ~ type(X,fulladder)+ | connection(out(s,X),out(s,h2(X))) )).++cnf(fulladder_connection_outc_out1or1,axiom,+ ( ~ type(X,fulladder)+ | connection(out(c,X),out(n1,or1(X))) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HWV002-0.ax view
@@ -0,0 +1,167 @@+%--------------------------------------------------------------------------+% File : HWV002-0 : TPTP v7.2.0. Released v2.1.0.+% Domain : Hardware Verification+% Axioms : Connections, faults, and gates.+% Version : [Gei96] axioms.+% English :++% Refs : [Gei96] Geisler (1996), Email to G. Sutcliffe+% Source : [Gei96]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 27 ( 5 non-Horn; 0 unit; 27 RR)+% Number of atoms : 81 ( 0 equality)+% Maximal clause size : 4 ( 3 average)+% Number of predicates : 10 ( 0 propositional; 1-2 arity)+% Number of functors : 3 ( 0 constant; 1-1 arity)+% Number of variables : 31 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+% Bugfixes : v2.7.0 - Fixed clause not_ok_or_abnormal+%--------------------------------------------------------------------------+%----Properties of connections and values+cnf(value_propagation_zero1,axiom,+ ( ~ connection(P1,P2)+ | ~ zero(P1)+ | zero(P2) )).++cnf(value_propagation_one1,axiom,+ ( ~ connection(P1,P2)+ | ~ one(P1)+ | one(P2) )).++cnf(value_propagation_zero2,axiom,+ ( ~ connection(P1,P2)+ | ~ zero(P2)+ | zero(P1) )).++cnf(value_propagation_one2,axiom,+ ( ~ connection(P1,P2)+ | ~ one(P2)+ | one(P1) )).++cnf(unique_value,axiom,+ ( ~ zero(P)+ | ~ one(P) )).++%----AND gate+cnf(and_0x_0,axiom,+ ( ~ and_ok(K)+ | ~ zero(in1(K))+ | zero(out1(K)) )).++cnf(and_x0_0,axiom,+ ( ~ and_ok(K)+ | ~ zero(in2(K))+ | zero(out1(K)) )).++cnf(and_11_1,axiom,+ ( ~ and_ok(K)+ | ~ one(in1(K))+ | ~ one(in2(K))+ | one(out1(K)) )).++cnf(and_0_00,axiom,+ ( ~ and_ok(K)+ | ~ zero(out1(K))+ | zero(in1(K))+ | zero(in2(K)) )).++cnf(and_1_1x,axiom,+ ( ~ and_ok(K)+ | ~ one(out1(K))+ | one(in1(K)) )).++cnf(and_1_x1,axiom,+ ( ~ and_ok(K)+ | ~ one(out1(K))+ | one(in2(K)) )).++%----Fault model for AND+cnf(not_and_ok_and_abnormal,axiom,+ ( ~ and_ok(K)+ | ~ abnormal(K) )).++cnf(and_ok_or_abnormal,axiom,+ ( ~ logic_and(K)+ | and_ok(K)+ | abnormal(K) )).++%----OR gate+cnf(or_1x_1,axiom,+ ( ~ or_ok(K)+ | ~ one(in1(K))+ | one(out1(K)) )).++cnf(or_x1_1,axiom,+ ( ~ or_ok(K)+ | ~ one(in2(K))+ | one(out1(K)) )).++cnf(or_00_0,axiom,+ ( ~ or_ok(K)+ | ~ zero(in1(K))+ | ~ zero(in2(K))+ | zero(out1(K)) )).++cnf(or_1_11,axiom,+ ( ~ or_ok(K)+ | ~ one(out1(K))+ | one(in1(K))+ | one(in2(K)) )).++cnf(or_0_0x,axiom,+ ( ~ or_ok(K)+ | ~ zero(out1(K))+ | zero(in1(K)) )).++cnf(or_0_01,axiom,+ ( ~ or_ok(K)+ | ~ zero(out1(K))+ | zero(in2(K)) )).++%----Fault model for OR+cnf(not_or_ok_and_abnormal,axiom,+ ( ~ or_ok(K)+ | ~ abnormal(K) )).++cnf(or_ok_or_abnormal,axiom,+ ( ~ logic_or(K)+ | or_ok(K)+ | abnormal(K) )).++%----NOT gate+cnf(not_0_1_fw,axiom,+ ( ~ not_ok(K)+ | ~ zero(in1(K))+ | one(out1(K)) )).++cnf(not_1_0_fw,axiom,+ ( ~ not_ok(K)+ | ~ one(in1(K))+ | zero(out1(K)) )).++cnf(not_0_1_bw,axiom,+ ( ~ not_ok(K)+ | ~ zero(out1(K))+ | one(in1(K)) )).++cnf(not_1_0_bw,axiom,+ ( ~ not_ok(K)+ | ~ one(out1(K))+ | zero(in1(K)) )).++%----Fault model for NOT+cnf(not__not_ok_and_abnormal,axiom,+ ( ~ not_ok(K)+ | ~ abnormal(K) )).++cnf(not_ok_or_abnormal,axiom,+ ( ~ logic_not(K)+ | not_ok(K)+ | abnormal(K) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HWV002-1.ax view
@@ -0,0 +1,78 @@+%--------------------------------------------------------------------------+% File : HWV002-1 : TPTP v7.2.0. Released v2.1.0.+% Domain : Hardware Verification+% Axioms : Half-adder.+% Version : [Gei96] axioms.+% English :++% Refs : [Gei96] Geisler (1996), Email to G. Sutcliffe+% Source : [Gei96]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 13 ( 0 non-Horn; 0 unit; 13 RR)+% Number of atoms : 26 ( 0 equality)+% Maximal clause size : 2 ( 2 average)+% Number of predicates : 5 ( 0 propositional; 1-2 arity)+% Number of functors : 9 ( 0 constant; 1-1 arity)+% Number of variables : 13 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires HWV002-0.ax+%--------------------------------------------------------------------------+%----Composition of halfadder+cnf(halfadder_and1,axiom,+ ( ~ halfadder(X)+ | logic_and(and1(X)) )).++cnf(halfadder_and2,axiom,+ ( ~ halfadder(X)+ | logic_and(and2(X)) )).++cnf(halfadder_not1,axiom,+ ( ~ halfadder(X)+ | logic_not(not1(X)) )).++cnf(halfadder_or1,axiom,+ ( ~ halfadder(X)+ | logic_or(or1(X)) )).++%----Connections of halfadder+cnf(halfadder_connection_in1_in1or1,axiom,+ ( ~ halfadder(X)+ | connection(in1(X),in1(or1(X))) )).++cnf(halfadder_connection_in2_in2or1,axiom,+ ( ~ halfadder(X)+ | connection(in2(X),in2(or1(X))) )).++cnf(halfadder_connection_in1_in1and2,axiom,+ ( ~ halfadder(X)+ | connection(in1(X),in1(and2(X))) )).++cnf(halfadder_connection_in2_in2and2,axiom,+ ( ~ halfadder(X)+ | connection(in2(X),in2(and2(X))) )).++cnf(halfadder_connection_outs_out1and1,axiom,+ ( ~ halfadder(X)+ | connection(outs(X),out1(and1(X))) )).++cnf(halfadder_connection_outc_out1and2,axiom,+ ( ~ halfadder(X)+ | connection(outc(X),out1(and2(X))) )).++cnf(halfadder_connection_out1or1_in1_and1,axiom,+ ( ~ halfadder(X)+ | connection(out1(or1(X)),in1(and1(X))) )).++cnf(halfadder_connection_out1and2_in1not1,axiom,+ ( ~ halfadder(X)+ | connection(out1(and2(X)),in1(not1(X))) )).++cnf(halfadder_connection_out1not1_in2and1,axiom,+ ( ~ halfadder(X)+ | connection(out1(not1(X)),in2(and1(X))) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HWV002-2.ax view
@@ -0,0 +1,70 @@+%--------------------------------------------------------------------------+% File : HWV002-2 : TPTP v7.2.0. Released v2.1.0.+% Domain : Hardware Verification+% Axioms : Full-adder.+% Version : [Gei96] axioms.+% English :++% Refs : [Gei96] Geisler (1996), Email to G. Sutcliffe+% Source : [Gei96]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 11 ( 0 non-Horn; 0 unit; 11 RR)+% Number of atoms : 22 ( 0 equality)+% Maximal clause size : 2 ( 2 average)+% Number of predicates : 4 ( 0 propositional; 1-2 arity)+% Number of functors : 9 ( 0 constant; 1-1 arity)+% Number of variables : 11 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires HWV002-0.ax HWV002-1.ax+%--------------------------------------------------------------------------+%----Composition of fulladder+cnf(fulladder_halfadder1,axiom,+ ( ~ fulladder(X)+ | halfadder(h1(X)) )).++cnf(fulladder_halfadder2,axiom,+ ( ~ fulladder(X)+ | halfadder(h2(X)) )).++cnf(fulladder_or1,axiom,+ ( ~ fulladder(X)+ | logic_or(or1(X)) )).++%----Connections of fulladder+cnf(fulladder_connection_outsh1_in2h2,axiom,+ ( ~ fulladder(X)+ | connection(outs(h1(X)),in2(h2(X))) )).++cnf(fulladder_connection_outch1_in2or1,axiom,+ ( ~ fulladder(X)+ | connection(outc(h1(X)),in2(or1(X))) )).++cnf(fulladder_connection_outch2_in1or1,axiom,+ ( ~ fulladder(X)+ | connection(outc(h2(X)),in1(or1(X))) )).++cnf(fulladder_connection_in1_in1h2,axiom,+ ( ~ fulladder(X)+ | connection(in1(X),in1(h2(X))) )).++cnf(fulladder_connection_in2_in1h1,axiom,+ ( ~ fulladder(X)+ | connection(in2(X),in1(h1(X))) )).++cnf(fulladder_connection_inc_in2h1,axiom,+ ( ~ fulladder(X)+ | connection(inc(X),in2(h1(X))) )).++cnf(fulladder_connection_outs_outsh2,axiom,+ ( ~ fulladder(X)+ | connection(outs(X),outs(h2(X))) )).++cnf(fulladder_connection_outc_out1or1,axiom,+ ( ~ fulladder(X)+ | connection(outc(X),out1(or1(X))) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HWV003-0.ax view
@@ -0,0 +1,573 @@+%--------------------------------------------------------------------------+% File : HWV003-0 : TPTP v7.2.0. Released v2.5.0.+% Domain : Hardware Verification+% Axioms : Axioms from a VHDL design description+% Version : [Mar02] axioms.+% English :++% Refs : [Mar02] Martensson (2002), Email to G. Sutcliffe+% Source : [Mar02]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 90 ( 64 non-Horn; 6 unit; 81 RR)+% Number of atoms : 369 ( 50 equality)+% Maximal clause size : 7 ( 4 average)+% Number of predicates : 13 ( 0 propositional; 1-3 arity)+% Number of functors : 10 ( 3 constant; 0-2 arity)+% Number of variables : 139 ( 5 singleton)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments : Generated by Safelogic's Haskell Library+%--------------------------------------------------------------------------+cnf(axiom_1,axiom,+ ( plus(X_0,n1) != n0 )).++cnf(axiom_2,axiom,+ ( gt(plus(X_1,n1),n0) )).++cnf(axiom_3,axiom,+ ( ~ gt(X_2,n0)+ | gt(X_2,minus(X_2,n1)) )).++cnf(axiom_4,axiom,+ ( minus(X_3,Y_4) != Z_5+ | plus(Z_5,Y_4) = X_3+ | def_10(Y_4,X_3) )).++cnf(axiom_5,axiom,+ ( minus(X_3,Y_4) = Z_5+ | plus(Z_5,Y_4) != X_3+ | def_10(Y_4,X_3) )).++cnf(axiom_6,axiom,+ ( ~ def_10(Y_4,X_3)+ | ~ gt(X_3,Y_4) )).++cnf(axiom_7,axiom,+ ( ~ def_10(Y_4,X_3)+ | X_3 != Y_4 )).++cnf(axiom_8,axiom,+ ( ~ gt(Y_12,X_11)+ | gt(plus(Y_12,n1),plus(X_11,n1)) )).++cnf(axiom_9,axiom,+ ( gt(Y_12,X_11)+ | ~ gt(plus(Y_12,n1),plus(X_11,n1)) )).++cnf(axiom_10,axiom,+ ( gt(X_13,Y_14)+ | ~ gt(plus(X_13,n1),Y_14)+ | Y_14 = X_13 )).++cnf(axiom_11,axiom,+ ( ~ gt(plus(X_15,n1),Y_16)+ | gt(X_15,Y_16)+ | X_15 = Y_16 )).++cnf(axiom_12,axiom,+ ( gt(Y_18,X_17)+ | X_17 = Y_18+ | gt(X_17,Y_18) )).++cnf(axiom_13,axiom,+ ( ~ gt(Z_21,Y_20)+ | gt(Z_21,X_19)+ | ~ gt(Y_20,X_19) )).++cnf(axiom_14,axiom,+ ( ~ gt(Y_24,X_23)+ | plus(X_23,n1) = Y_24+ | gt(Y_24,plus(X_23,n1)) )).++cnf(axiom_15,axiom,+ ( X_25 = n0+ | gt(X_25,n0) )).++cnf(axiom_16,axiom,+ ( X_26 = n0+ | X_26 = plus(y_27(X_26),n1) )).++cnf(axiom_17,axiom,+ ( ~ gt(X_28,X_28) )).++cnf(axiom_18,axiom,+ ( plus(X_29,n1) != plus(Y_30,n1)+ | X_29 = Y_30 )).++cnf(axiom_19,axiom,+ ( plus(n0,X_31) = X_31 )).++cnf(axiom_20,axiom,+ ( n1 = plus(n0,n1) )).++cnf(axiom_21,axiom,+ ( level(X_t_32) = int_level(X_t_32) )).++cnf(axiom_22,axiom,+ ( int_level(X_t_33) != fifo_length+ | p_Full(X_t_33) )).++cnf(axiom_23,axiom,+ ( int_level(X_t_34) = fifo_length+ | ~ p_Full(X_t_34) )).++cnf(axiom_24,axiom,+ ( int_level(X_t_35) != n0+ | p_Empty(X_t_35) )).++cnf(axiom_25,axiom,+ ( int_level(X_t_36) = n0+ | ~ p_Empty(X_t_36) )).++cnf(axiom_26,axiom,+ ( ~ p_Reset(X_t_37)+ | int_level(plus(X_t_37,n1)) = n0 )).++cnf(axiom_27,axiom,+ ( ~ p_Reset(X_t_37)+ | wr_level(plus(X_t_37,n1)) = n0 )).++cnf(axiom_28,axiom,+ ( ~ p_Reset(X_t_37)+ | rd_level(plus(X_t_37,n1)) = n0 )).++cnf(axiom_29,axiom,+ ( ~ p_Reset(X_t_37)+ | ~ p_Wr_error(plus(X_t_37,n1)) )).++cnf(axiom_30,axiom,+ ( ~ p_Reset(X_t_37)+ | ~ p_Rd_error(plus(X_t_37,n1)) )).++cnf(axiom_31,axiom,+ ( ~ p_Reset(X_t_37)+ | ~ p_Mem(X_k1_38,X_k2_39,plus(X_t_37,n1)) )).++cnf(axiom_32,axiom,+ ( ~ p_Reset(X_t_37)+ | ~ p_Data_out(X_k1_40,plus(X_t_37,n1)) )).++cnf(axiom_33,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | rd_level(plus(X_t_42,n1)) = rd_level(X_t_42) )).++cnf(axiom_34,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ gt(fifo_length,int_level(X_t_42))+ | ~ p_Wr_error(plus(X_t_42,n1)) )).++cnf(axiom_35,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ gt(fifo_length,int_level(X_t_42))+ | int_level(plus(X_t_42,n1)) = plus(int_level(X_t_42),n1) )).++cnf(axiom_36,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ gt(fifo_length,int_level(X_t_42))+ | ~ p_Mem(wr_level(X_t_42),X_k1_43,plus(X_t_42,n1))+ | p_Data_in(X_k1_43,X_t_42) )).++cnf(axiom_37,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ gt(fifo_length,int_level(X_t_42))+ | p_Mem(wr_level(X_t_42),X_k1_43,plus(X_t_42,n1))+ | ~ p_Data_in(X_k1_43,X_t_42) )).++cnf(axiom_38,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ gt(fifo_length,int_level(X_t_42))+ | X_c1_47 = wr_level(X_t_42)+ | ~ p_Mem(X_c1_47,X_k1_48,plus(X_t_42,n1))+ | p_Mem(X_c1_47,X_k1_48,X_t_42) )).++cnf(axiom_39,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ gt(fifo_length,int_level(X_t_42))+ | X_c1_47 = wr_level(X_t_42)+ | p_Mem(X_c1_47,X_k1_48,plus(X_t_42,n1))+ | ~ p_Mem(X_c1_47,X_k1_48,X_t_42) )).++cnf(axiom_40,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ gt(fifo_length,int_level(X_t_42))+ | ~ gt(minus(fifo_length,n1),wr_level(X_t_42))+ | wr_level(plus(X_t_42,n1)) = plus(wr_level(X_t_42),n1) )).++cnf(axiom_41,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ gt(fifo_length,int_level(X_t_42))+ | gt(minus(fifo_length,n1),wr_level(X_t_42))+ | wr_level(plus(X_t_42,n1)) = n0 )).++cnf(axiom_42,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | gt(fifo_length,int_level(X_t_42))+ | p_Wr_error(plus(X_t_42,n1)) )).++cnf(axiom_43,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | gt(fifo_length,int_level(X_t_42))+ | wr_level(plus(X_t_42,n1)) = wr_level(X_t_42) )).++cnf(axiom_44,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | gt(fifo_length,int_level(X_t_42))+ | int_level(plus(X_t_42,n1)) = int_level(X_t_42) )).++cnf(axiom_45,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | gt(fifo_length,int_level(X_t_42))+ | ~ p_Mem(X_k1_57,X_k2_58,plus(X_t_42,n1))+ | p_Mem(X_k1_57,X_k2_58,X_t_42) )).++cnf(axiom_46,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | gt(fifo_length,int_level(X_t_42))+ | p_Mem(X_k1_57,X_k2_58,plus(X_t_42,n1))+ | ~ p_Mem(X_k1_57,X_k2_58,X_t_42) )).++cnf(axiom_47,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ p_Data_out(X_k1_64,plus(X_t_42,n1))+ | p_Data_out(X_k1_64,X_t_42) )).++cnf(axiom_48,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | p_Data_out(X_k1_64,plus(X_t_42,n1))+ | ~ p_Data_out(X_k1_64,X_t_42) )).++cnf(axiom_49,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ p_Rd_error(plus(X_t_42,n1))+ | p_Rd_error(X_t_42) )).++cnf(axiom_50,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | p_Rd_error(plus(X_t_42,n1))+ | ~ p_Rd_error(X_t_42) )).++cnf(axiom_51,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ p_Wr_error(plus(X_t_42,n1)) )).++cnf(axiom_52,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | ~ p_Rd_error(plus(X_t_42,n1)) )).++cnf(axiom_53,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | int_level(plus(X_t_42,n1)) = int_level(X_t_42) )).++cnf(axiom_54,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | ~ p_Data_out(X_k1_73,plus(X_t_42,n1))+ | p_Mem(rd_level(X_t_42),X_k1_73,X_t_42) )).++cnf(axiom_55,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | p_Data_out(X_k1_73,plus(X_t_42,n1))+ | ~ p_Mem(rd_level(X_t_42),X_k1_73,X_t_42) )).++cnf(axiom_56,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | ~ gt(minus(fifo_length,n1),rd_level(X_t_42))+ | rd_level(plus(X_t_42,n1)) = plus(rd_level(X_t_42),n1) )).++cnf(axiom_57,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | gt(minus(fifo_length,n1),rd_level(X_t_42))+ | rd_level(plus(X_t_42,n1)) = n0 )).++cnf(axiom_58,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | gt(int_level(X_t_42),n0)+ | p_Rd_error(plus(X_t_42,n1)) )).++cnf(axiom_59,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | gt(int_level(X_t_42),n0)+ | int_level(plus(X_t_42,n1)) = plus(int_level(X_t_42),n1) )).++cnf(axiom_60,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | gt(int_level(X_t_42),n0)+ | rd_level(plus(X_t_42,n1)) = rd_level(X_t_42) )).++cnf(axiom_61,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | gt(int_level(X_t_42),n0)+ | ~ p_Data_out(X_k1_81,plus(X_t_42,n1))+ | p_Data_out(X_k1_81,X_t_42) )).++cnf(axiom_62,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | gt(int_level(X_t_42),n0)+ | p_Data_out(X_k1_81,plus(X_t_42,n1))+ | ~ p_Data_out(X_k1_81,X_t_42) )).++cnf(axiom_63,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ p_Mem(wr_level(X_t_42),X_k1_87,plus(X_t_42,n1))+ | p_Data_in(X_k1_87,X_t_42) )).++cnf(axiom_64,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | p_Mem(wr_level(X_t_42),X_k1_87,plus(X_t_42,n1))+ | ~ p_Data_in(X_k1_87,X_t_42) )).++cnf(axiom_65,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | X_c1_91 = wr_level(X_t_42)+ | ~ p_Mem(X_c1_91,X_k1_92,plus(X_t_42,n1))+ | p_Mem(X_c1_91,X_k1_92,X_t_42) )).++cnf(axiom_66,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | X_c1_91 = wr_level(X_t_42)+ | p_Mem(X_c1_91,X_k1_92,plus(X_t_42,n1))+ | ~ p_Mem(X_c1_91,X_k1_92,X_t_42) )).++cnf(axiom_67,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(minus(fifo_length,n1),wr_level(X_t_42))+ | wr_level(plus(X_t_42,n1)) = plus(wr_level(X_t_42),n1) )).++cnf(axiom_68,axiom,+ ( p_Reset(X_t_42)+ | ~ p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | gt(minus(fifo_length,n1),wr_level(X_t_42))+ | wr_level(plus(X_t_42,n1)) = n0 )).++cnf(axiom_69,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | wr_level(plus(X_t_42,n1)) = wr_level(X_t_42) )).++cnf(axiom_70,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | ~ p_Rd_error(plus(X_t_42,n1)) )).++cnf(axiom_71,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | int_level(plus(X_t_42,n1)) = minus(int_level(X_t_42),n1) )).++cnf(axiom_72,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | ~ p_Data_out(X_k1_103,plus(X_t_42,n1))+ | p_Mem(rd_level(X_t_42),X_k1_103,X_t_42) )).++cnf(axiom_73,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | p_Data_out(X_k1_103,plus(X_t_42,n1))+ | ~ p_Mem(rd_level(X_t_42),X_k1_103,X_t_42) )).++cnf(axiom_74,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | ~ gt(minus(fifo_length,n1),rd_level(X_t_42))+ | rd_level(plus(X_t_42,n1)) = plus(rd_level(X_t_42),n1) )).++cnf(axiom_75,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | ~ gt(int_level(X_t_42),n0)+ | gt(minus(fifo_length,n1),rd_level(X_t_42))+ | rd_level(plus(X_t_42,n1)) = n0 )).++cnf(axiom_76,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | gt(int_level(X_t_42),n0)+ | p_Rd_error(plus(X_t_42,n1)) )).++cnf(axiom_77,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | gt(int_level(X_t_42),n0)+ | rd_level(plus(X_t_42,n1)) = rd_level(X_t_42) )).++cnf(axiom_78,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | gt(int_level(X_t_42),n0)+ | int_level(plus(X_t_42,n1)) = int_level(X_t_42) )).++cnf(axiom_79,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | gt(int_level(X_t_42),n0)+ | ~ p_Data_out(X_k1_111,plus(X_t_42,n1))+ | p_Data_out(X_k1_111,X_t_42) )).++cnf(axiom_80,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Rd(X_t_42)+ | gt(int_level(X_t_42),n0)+ | p_Data_out(X_k1_111,plus(X_t_42,n1))+ | ~ p_Data_out(X_k1_111,X_t_42) )).++cnf(axiom_81,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | rd_level(plus(X_t_42,n1)) = rd_level(X_t_42) )).++cnf(axiom_82,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | int_level(plus(X_t_42,n1)) = int_level(X_t_42) )).++cnf(axiom_83,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ p_Data_out(X_k1_119,plus(X_t_42,n1))+ | p_Data_out(X_k1_119,X_t_42) )).++cnf(axiom_84,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | p_Data_out(X_k1_119,plus(X_t_42,n1))+ | ~ p_Data_out(X_k1_119,X_t_42) )).++cnf(axiom_85,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | ~ p_Rd_error(plus(X_t_42,n1))+ | p_Rd_error(X_t_42) )).++cnf(axiom_86,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | p_Rd(X_t_42)+ | p_Rd_error(plus(X_t_42,n1))+ | ~ p_Rd_error(X_t_42) )).++cnf(axiom_87,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Mem(X_k1_128,X_k2_129,plus(X_t_42,n1))+ | p_Mem(X_k1_128,X_k2_129,X_t_42) )).++cnf(axiom_88,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | p_Mem(X_k1_128,X_k2_129,plus(X_t_42,n1))+ | ~ p_Mem(X_k1_128,X_k2_129,X_t_42) )).++cnf(axiom_89,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | ~ p_Wr_error(plus(X_t_42,n1))+ | p_Wr_error(X_t_42) )).++cnf(axiom_90,axiom,+ ( p_Reset(X_t_42)+ | p_Wr(X_t_42)+ | p_Wr_error(plus(X_t_42,n1))+ | ~ p_Wr_error(X_t_42) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/HWV004-0.ax view
@@ -0,0 +1,706 @@+%--------------------------------------------------------------------------+% File : HWV004-0 : TPTP v7.2.0. Released v2.5.0.+% Domain : Hardware Verification+% Axioms : Axioms from a VHDL design description+% Version : [Mar02] axioms : Especial.+% Axiom formulation : Different VHDL -> FO-logic translator+% English :++% Refs : [Mar02] Martensson (2002), Email to G. Sutcliffe+% Source : [Mar02]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 133 ( 62 non-Horn; 25 unit; 92 RR)+% Number of atoms : 415 ( 80 equality)+% Maximal clause size : 10 ( 3 average)+% Number of predicates : 4 ( 0 propositional; 1-2 arity)+% Number of functors : 46 ( 8 constant; 0-3 arity)+% Number of variables : 225 ( 20 singleton)+% Maximal term depth : 5 ( 2 average)+% SPC : ++% Comments : Generated by Safelogic's Haskell Library+%--------------------------------------------------------------------------+cnf(axiom_2,axiom,+ ( f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(Vt___)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1) )).++cnf(axiom_3,axiom,+ ( f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(Vt___)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1) )).++cnf(axiom_4,axiom,+ ( f__length_(fwork_DOTfifo_DOTrtl_DOTdata__in_(Vt___)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1) )).++cnf(axiom_5,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) )).++cnf(axiom_6,axiom,+ ( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_1))+ | fwork_DOTfifo_DOTrtl_DOTint__level_(T_1) != fwork_DOTfifo_DOTrtl_DOTfifo__length_ )).++cnf(axiom_7,axiom,+ ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))+ | fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ )).++cnf(axiom_8,axiom,+ ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3))+ | fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0 )).++cnf(axiom_9,axiom,+ ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_4))+ | fwork_DOTfifo_DOTrtl_DOTint__level_(T_4) = n0 )).++cnf(axiom_10,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(T_5,n1)) = n0+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) )).++cnf(axiom_11,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(T_5,n1)) = n0+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) )).++cnf(axiom_12,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5,n1)) = n0+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) )).++cnf(axiom_13,axiom,+ ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1)))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) )).++cnf(axiom_14,axiom,+ ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_5,n1)))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) )).++cnf(axiom_15,axiom,+ ( ~ p__pred_(f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_5,n1)),I1_6),I2_7))+ | ~ p_LES_EQU_(n0,I2_7)+ | ~ p_LES_EQU_(I2_7,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | ~ p_LES_EQU_(n0,I1_6)+ | ~ p_LES_EQU_(I1_6,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) )).++cnf(axiom_16,axiom,+ ( ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_5,n1)),I1_10))+ | ~ p_LES_EQU_(n0,I1_10)+ | ~ p_LES_EQU_(I1_10,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) )).++cnf(axiom_17,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(T_13)+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_18,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1)+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_19,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(T_13,n1)) = fstd_DOTstandard_DOTmod_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTwr__level_(T_13),n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_)+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_20,axiom,+ ( f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_13,n1)),f_SUB_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),fwork_DOTfifo_DOTrtl_DOTwr__level_(T_13))),I1_14) = f__index_(fwork_DOTfifo_DOTrtl_DOTdata__in_(T_13),I1_14)+ | ~ p_LES_EQU_(n0,I1_14)+ | ~ p_LES_EQU_(I1_14,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_21,axiom,+ ( f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_13,n1)),Cindex_16),I1_17) = f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(T_13),Cindex_16),I1_17)+ | ~ p_LES_EQU_(n0,I1_17)+ | ~ p_LES_EQU_(I1_17,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | Cindex_16 = f_SUB_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),fwork_DOTfifo_DOTrtl_DOTwr__level_(T_13))+ | ~ p_LES_EQU_(n0,Cindex_16)+ | ~ p_LES_EQU_(Cindex_16,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_22,axiom,+ ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_23,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_24,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(T_13)+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_25,axiom,+ ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_26,axiom,+ ( f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_13,n1)),I1_22),I2_23) = f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(T_13),I1_22),I2_23)+ | ~ p_LES_EQU_(n0,I2_23)+ | ~ p_LES_EQU_(I2_23,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | ~ p_LES_EQU_(n0,I1_22)+ | ~ p_LES_EQU_(I1_22,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_27,axiom,+ ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1)))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_28,axiom,+ ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1)))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_29,axiom,+ ( f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_13,n1)),I1_31) = f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(T_13),I1_31)+ | ~ p_LES_EQU_(n0,I1_31)+ | ~ p_LES_EQU_(I1_31,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_30,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(T_13,n1)) = fstd_DOTstandard_DOTmod_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTwr__level_(T_13),n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_31,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_32,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(T_13,n1)) = fstd_DOTstandard_DOTmod_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTrd__level_(T_13),n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_)+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_33,axiom,+ ( f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_13,n1)),I1_35) = f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(T_13),f_SUB_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),fwork_DOTfifo_DOTrtl_DOTrd__level_(T_13))),I1_35)+ | ~ p_LES_EQU_(n0,I1_35)+ | ~ p_LES_EQU_(I1_35,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_34,axiom,+ ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1)))+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_35,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(T_13)+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_36,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1)+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_37,axiom,+ ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1)))+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_38,axiom,+ ( f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_13,n1)),I1_39) = f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(T_13),I1_39)+ | ~ p_LES_EQU_(n0,I1_39)+ | ~ p_LES_EQU_(I1_39,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_39,axiom,+ ( f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_13,n1)),f_SUB_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),fwork_DOTfifo_DOTrtl_DOTwr__level_(T_13))),I1_43) = f__index_(fwork_DOTfifo_DOTrtl_DOTdata__in_(T_13),I1_43)+ | ~ p_LES_EQU_(n0,I1_43)+ | ~ p_LES_EQU_(I1_43,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_40,axiom,+ ( f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_13,n1)),Cindex_45),I1_46) = f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(T_13),Cindex_45),I1_46)+ | ~ p_LES_EQU_(n0,I1_46)+ | ~ p_LES_EQU_(I1_46,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | Cindex_45 = f_SUB_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),fwork_DOTfifo_DOTrtl_DOTwr__level_(T_13))+ | ~ p_LES_EQU_(n0,Cindex_45)+ | ~ p_LES_EQU_(Cindex_45,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_41,axiom,+ ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_42,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(T_13)+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_43,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1)+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_44,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(T_13,n1)) = fstd_DOTstandard_DOTmod_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTrd__level_(T_13),n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_)+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_45,axiom,+ ( f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_13,n1)),I1_53) = f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(T_13),f_SUB_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),fwork_DOTfifo_DOTrtl_DOTrd__level_(T_13))),I1_53)+ | ~ p_LES_EQU_(n0,I1_53)+ | ~ p_LES_EQU_(I1_53,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_46,axiom,+ ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1)))+ | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_47,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_48,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(T_13)+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_49,axiom,+ ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1)))+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_50,axiom,+ ( f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_13,n1)),I1_57) = f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(T_13),I1_57)+ | ~ p_LES_EQU_(n0,I1_57)+ | ~ p_LES_EQU_(I1_57,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_51,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_52,axiom,+ ( fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(T_13)+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_53,axiom,+ ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1)))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_54,axiom,+ ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1)))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_55,axiom,+ ( f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_13,n1)),I1_66) = f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(T_13),I1_66)+ | ~ p_LES_EQU_(n0,I1_66)+ | ~ p_LES_EQU_(I1_66,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_56,axiom,+ ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(T_13))+ | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_57,axiom,+ ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_58,axiom,+ ( f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_13,n1)),I1_73),I2_74) = f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(T_13),I1_73),I2_74)+ | ~ p_LES_EQU_(n0,I2_74)+ | ~ p_LES_EQU_(I2_74,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))+ | ~ p_LES_EQU_(n0,I1_73)+ | ~ p_LES_EQU_(I1_73,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))+ | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) )).++cnf(axiom_59,axiom,+ ( f_ADD_(X_80,n1) != n0 )).++cnf(axiom_60,axiom,+ ( ~ p_LES_EQU_(f_ADD_(X_81,n1),n0) )).++cnf(axiom_61,axiom,+ ( ~ p_LES_EQU_(X_82,f_SUB_(X_82,n1))+ | p_LES_EQU_(X_82,n0) )).++cnf(axiom_62,axiom,+ ( def_89(Y_84,X_83)+ | f_ADD_(Z_85,Y_84) = X_83+ | f_SUB_(X_83,Y_84) != Z_85 )).++cnf(axiom_63,axiom,+ ( def_89(Y_84,X_83)+ | f_ADD_(Z_85,Y_84) != X_83+ | f_SUB_(X_83,Y_84) = Z_85 )).++cnf(axiom_64,axiom,+ ( X_83 != Y_84+ | ~ def_89(Y_84,X_83) )).++cnf(axiom_65,axiom,+ ( p_LES_EQU_(X_83,Y_84)+ | ~ def_89(Y_84,X_83) )).++cnf(axiom_66,axiom,+ ( ~ p_LES_EQU_(f_ADD_(Y_91,n1),f_ADD_(X_90,n1))+ | p_LES_EQU_(Y_91,X_90) )).++cnf(axiom_67,axiom,+ ( p_LES_EQU_(f_ADD_(Y_91,n1),f_ADD_(X_90,n1))+ | ~ p_LES_EQU_(Y_91,X_90) )).++cnf(axiom_68,axiom,+ ( Y_93 = X_92+ | ~ p_LES_EQU_(X_92,Y_93)+ | p_LES_EQU_(f_ADD_(X_92,n1),Y_93) )).++cnf(axiom_69,axiom,+ ( ~ p_LES_EQU_(X_94,Y_95)+ | X_94 = Y_95+ | p_LES_EQU_(f_ADD_(X_94,n1),Y_95) )).++cnf(axiom_70,axiom,+ ( X_96 = Y_97+ | ~ p_LES_EQU_(X_96,Y_97)+ | ~ p_LES_EQU_(Y_97,X_96) )).++cnf(axiom_71,axiom,+ ( ~ p_LES_EQU_(Z_100,X_98)+ | p_LES_EQU_(Y_99,X_98)+ | p_LES_EQU_(Z_100,Y_99) )).++cnf(axiom_72,axiom,+ ( f_ADD_(X_101,n1) = Y_102+ | ~ p_LES_EQU_(Y_102,f_ADD_(X_101,n1))+ | p_LES_EQU_(Y_102,X_101) )).++cnf(axiom_73,axiom,+ ( ~ p_LES_EQU_(X_103,n0)+ | X_103 = n0 )).++cnf(axiom_74,axiom,+ ( X_104 = f_ADD_(y_105(X_104),n1)+ | X_104 = n0 )).++cnf(axiom_75,axiom,+ ( p_LES_EQU_(X_106,X_106) )).++cnf(axiom_76,axiom,+ ( X_107 = Y_108+ | f_ADD_(X_107,n1) != f_ADD_(Y_108,n1) )).++cnf(axiom_77,axiom,+ ( f_ADD_(n0,X_109) = X_109 )).++cnf(axiom_78,axiom,+ ( n1 = f_ADD_(n0,n1) )).++cnf(axiom_79,axiom,+ ( f__length_(f__cons_(X_110,Xs_111)) = f_ADD_(f__length_(Xs_111),n1) )).++cnf(axiom_80,axiom,+ ( f__length_(f__empty_) = n0 )).++cnf(axiom_81,axiom,+ ( f__length_(f__concat_(A_112,B_113)) = f_ADD_(f__length_(A_112),f__length_(B_113)) )).++cnf(axiom_82,axiom,+ ( f__length_(f__slice_(A_114,I1_115,I2_116)) = f_SUB_(I2_116,f_ADD_(I1_115,n1)) )).++cnf(axiom_83,axiom,+ ( f__index_(f__others_(E_117),I_118) = E_117 )).++cnf(axiom_84,axiom,+ ( I_119 != n0+ | f__index_(f__cons_(X_120,Xs_121),I_119) = X_120 )).++cnf(axiom_85,axiom,+ ( p_LES_EQU_(I_122,n0)+ | f__index_(f__cons_(X_123,Xs_124),I_122) = f__index_(Xs_124,f_SUB_(I_122,n1)) )).++cnf(axiom_86,axiom,+ ( p_LES_EQU_(length(A_126),I_125)+ | f__index_(f__concat_(A_126,B_127),I_125) = f__index_(A_126,I_125) )).++cnf(axiom_87,axiom,+ ( ~ p_LES_EQU_(length(A_129),I_128)+ | f__index_(f__concat_(A_129,B_130),I_128) = f__index_(B_130,f_SUB_(I_128,length(A_129))) )).++cnf(axiom_88,axiom,+ ( f__index_(f__slice_(A_131,I1_132,I2_133),I_134) = f__index_(A_131,f_ADD_(I_134,I1_132)) )).++cnf(axiom_89,axiom,+ ( f__index_(f__and_(A_135,B_136),X_137) = f__and_(f__index_(A_135,X_137),f__index_(B_136,X_137)) )).++cnf(axiom_90,axiom,+ ( f__index_(f__or_(A_138,B_139),X_140) = f__or_(f__index_(A_138,X_140),f__index_(B_139,X_140)) )).++cnf(axiom_91,axiom,+ ( f__index_(f__xor_(A_141,B_142),X_143) = f__xor_(f__index_(A_141,X_143),f__index_(B_142,X_143)) )).++cnf(axiom_92,axiom,+ ( f__index_(f__nand_(A_144,B_145),X_146) = f__nand_(f__index_(A_144,X_146),f__index_(B_145,X_146)) )).++cnf(axiom_93,axiom,+ ( f__index_(f__nor_(A_147,B_148),X_149) = f__nor_(f__index_(A_147,X_149),f__index_(B_148,X_149)) )).++cnf(axiom_94,axiom,+ ( f__index_(f__xnor_(A_150,B_151),X_152) = f__xnor_(f__index_(A_150,X_152),f__index_(B_151,X_152)) )).++cnf(axiom_95,axiom,+ ( f__index_(f__not_(A_153),X_154) = f__not_(f__index_(A_153,X_154)) )).++cnf(axiom_96,axiom,+ ( p__pred_(f__true_) )).++cnf(axiom_97,axiom,+ ( ~ p__pred_(f__false_) )).++cnf(axiom_98,axiom,+ ( f__false_ != f__true_ )).++cnf(axiom_99,axiom,+ ( p__pred_(B_156)+ | ~ p__pred_(A_155)+ | ~ p__pred_(f__equiv_(A_155,B_156)) )).++cnf(axiom_100,axiom,+ ( ~ p__pred_(B_156)+ | p__pred_(A_155)+ | ~ p__pred_(f__equiv_(A_155,B_156)) )).++cnf(axiom_101,axiom,+ ( ~ p__pred_(B_156)+ | ~ p__pred_(A_155)+ | p__pred_(f__equiv_(A_155,B_156)) )).++cnf(axiom_102,axiom,+ ( p__pred_(B_156)+ | p__pred_(A_155)+ | p__pred_(f__equiv_(A_155,B_156)) )).++cnf(axiom_103,axiom,+ ( A_163 = B_164+ | ~ p__pred_(f__equal_(A_163,B_164)) )).++cnf(axiom_104,axiom,+ ( A_163 != B_164+ | p__pred_(f__equal_(A_163,B_164)) )).++cnf(axiom_105,axiom,+ ( p__pred_(B_166)+ | ~ p__pred_(f__and_(A_165,B_166)) )).++cnf(axiom_106,axiom,+ ( p__pred_(A_165)+ | ~ p__pred_(f__and_(A_165,B_166)) )).++cnf(axiom_107,axiom,+ ( ~ p__pred_(A_165)+ | ~ p__pred_(B_166)+ | p__pred_(f__and_(A_165,B_166)) )).++cnf(axiom_108,axiom,+ ( p__pred_(A_169)+ | p__pred_(B_170)+ | ~ p__pred_(f__or_(A_169,B_170)) )).++cnf(axiom_109,axiom,+ ( ~ p__pred_(B_170)+ | p__pred_(f__or_(A_169,B_170)) )).++cnf(axiom_110,axiom,+ ( ~ p__pred_(A_169)+ | p__pred_(f__or_(A_169,B_170)) )).++cnf(axiom_111,axiom,+ ( ~ p__pred_(B_174)+ | ~ p__pred_(A_173)+ | ~ p__pred_(f__xor_(A_173,B_174)) )).++cnf(axiom_112,axiom,+ ( p__pred_(B_174)+ | p__pred_(A_173)+ | ~ p__pred_(f__xor_(A_173,B_174)) )).++cnf(axiom_113,axiom,+ ( p__pred_(B_174)+ | ~ p__pred_(A_173)+ | p__pred_(f__xor_(A_173,B_174)) )).++cnf(axiom_114,axiom,+ ( ~ p__pred_(B_174)+ | p__pred_(A_173)+ | p__pred_(f__xor_(A_173,B_174)) )).++cnf(axiom_115,axiom,+ ( ~ p__pred_(A_181)+ | ~ p__pred_(B_182)+ | ~ p__pred_(f__nand_(A_181,B_182)) )).++cnf(axiom_116,axiom,+ ( p__pred_(B_182)+ | p__pred_(f__nand_(A_181,B_182)) )).++cnf(axiom_117,axiom,+ ( p__pred_(A_181)+ | p__pred_(f__nand_(A_181,B_182)) )).++cnf(axiom_118,axiom,+ ( ~ p__pred_(B_186)+ | ~ p__pred_(f__nor_(A_185,B_186)) )).++cnf(axiom_119,axiom,+ ( ~ p__pred_(A_185)+ | ~ p__pred_(f__nor_(A_185,B_186)) )).++cnf(axiom_120,axiom,+ ( p__pred_(A_185)+ | p__pred_(B_186)+ | p__pred_(f__nor_(A_185,B_186)) )).++cnf(axiom_121,axiom,+ ( p__pred_(B_190)+ | ~ p__pred_(A_189)+ | ~ p__pred_(f__xnor_(A_189,B_190)) )).++cnf(axiom_122,axiom,+ ( ~ p__pred_(B_190)+ | p__pred_(A_189)+ | ~ p__pred_(f__xnor_(A_189,B_190)) )).++cnf(axiom_123,axiom,+ ( ~ p__pred_(B_190)+ | ~ p__pred_(A_189)+ | p__pred_(f__xnor_(A_189,B_190)) )).++cnf(axiom_124,axiom,+ ( p__pred_(B_190)+ | p__pred_(A_189)+ | p__pred_(f__xnor_(A_189,B_190)) )).++cnf(axiom_125,axiom,+ ( ~ p__pred_(A_197)+ | ~ p__pred_(f__not_(A_197)) )).++cnf(axiom_126,axiom,+ ( p__pred_(A_197)+ | p__pred_(f__not_(A_197)) )).++cnf(axiom_127,axiom,+ ( ~ p_LES_EQU_(B_199,A_198)+ | ~ p__pred_(f__lt_(A_198,B_199)) )).++cnf(axiom_128,axiom,+ ( p_LES_EQU_(B_199,A_198)+ | p__pred_(f__lt_(A_198,B_199)) )).++cnf(axiom_129,axiom,+ ( p_LES_EQU_(A_200,B_201)+ | ~ p__pred_(f__leq_(A_200,B_201)) )).++cnf(axiom_130,axiom,+ ( ~ p_LES_EQU_(A_200,B_201)+ | p__pred_(f__leq_(A_200,B_201)) )).++cnf(axiom_131,axiom,+ ( ~ p_LES_EQU_(A_202,B_203)+ | ~ p__pred_(f__gt_(A_202,B_203)) )).++cnf(axiom_132,axiom,+ ( p_LES_EQU_(A_202,B_203)+ | p__pred_(f__gt_(A_202,B_203)) )).++cnf(axiom_133,axiom,+ ( p_LES_EQU_(B_205,A_204)+ | ~ p__pred_(f__geq_(A_204,B_205)) )).++cnf(axiom_134,axiom,+ ( ~ p_LES_EQU_(B_205,A_204)+ | p__pred_(f__geq_(A_204,B_205)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT001-0.ax view
@@ -0,0 +1,51 @@+%--------------------------------------------------------------------------+% File : LAT001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Lattice Theory+% Axioms : Lattice theory (equality) axioms+% Version : [McC88] (equality) axioms.+% English :++% Refs : [Bum65] Bumcroft (1965), Proceedings of the Glasgow Mathematic+% : [McC88] McCune (1988), Challenge Equality Problems in Lattice+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% Source : [McC88]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 8 ( 0 non-Horn; 8 unit; 0 RR)+% Number of atoms : 8 ( 8 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 2 ( 0 constant; 2-2 arity)+% Number of variables : 16 ( 2 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----The following 8 clauses characterise lattices+cnf(idempotence_of_meet,axiom,+ ( meet(X,X) = X )).++cnf(idempotence_of_join,axiom,+ ( join(X,X) = X )).++cnf(absorption1,axiom,+ ( meet(X,join(X,Y)) = X )).++cnf(absorption2,axiom,+ ( join(X,meet(X,Y)) = X )).++cnf(commutativity_of_meet,axiom,+ ( meet(X,Y) = meet(Y,X) )).++cnf(commutativity_of_join,axiom,+ ( join(X,Y) = join(Y,X) )).++cnf(associativity_of_meet,axiom,+ ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) )).++cnf(associativity_of_join,axiom,+ ( join(join(X,Y),Z) = join(X,join(Y,Z)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT001-1.ax view
@@ -0,0 +1,46 @@+%--------------------------------------------------------------------------+% File : LAT001-1 : TPTP v7.2.0. Released v1.0.0.+% Domain : Lattice Theory+% Axioms : Lattice theory modularity (equality) axioms+% Version : [McC88] (equality) axioms.+% English :++% Refs : [Bum65] Bumcroft (1965), Proceedings of the Glasgow Mathematic+% : [McC88] McCune (1988), Challenge Equality Problems in Lattice+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% Source : [McC88]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 5 ( 0 non-Horn; 4 unit; 0 RR)+% Number of atoms : 6 ( 6 equality)+% Maximal clause size : 2 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 4 ( 2 constant; 0-2 arity)+% Number of variables : 7 ( 2 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires LAT001-0.ax+% : These axioms, with 4 extra redundant axioms about 0 & 1, are+% used in [Wos88] p.217.+%--------------------------------------------------------------------------+%----Include 1 and 0 in the lattice+cnf(x_meet_0,axiom,+ ( meet(X,n0) = n0 )).++cnf(x_join_0,axiom,+ ( join(X,n0) = X )).++cnf(x_meet_1,axiom,+ ( meet(X,n1) = X )).++cnf(x_join_1,axiom,+ ( join(X,n1) = n1 )).++%----Require the lattice to be modular+cnf(modular,axiom,+ ( meet(X,Z) != X+ | meet(Z,join(X,Y)) = join(X,meet(Y,Z)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT001-2.ax view
@@ -0,0 +1,39 @@+%--------------------------------------------------------------------------+% File : LAT001-2 : TPTP v7.2.0. Released v1.0.0.+% Domain : Lattice Theory+% Axioms : Lattice theory complement (equality) axioms+% Version : [McC88] (equality) axioms.+% English :++% Refs : [Bum65] Bumcroft (1965), Proceedings of the Glasgow Mathematic+% : [McC88] McCune (1988), Challenge Equality Problems in Lattice+% Source : [McC88]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 3 ( 0 non-Horn; 0 unit; 3 RR)+% Number of atoms : 7 ( 4 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 4 ( 2 constant; 0-2 arity)+% Number of variables : 6 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires LAT001-0.ax+%--------------------------------------------------------------------------+%----Definition of complement+cnf(complement_meet,axiom,+ ( ~ complement(X,Y)+ | meet(X,Y) = n0 )).++cnf(complement_join,axiom,+ ( ~ complement(X,Y)+ | join(X,Y) = n1 )).++cnf(meet_join_complement,axiom,+ ( meet(X,Y) != n0+ | join(X,Y) != n1+ | complement(X,Y) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT001-3.ax view
@@ -0,0 +1,45 @@+%--------------------------------------------------------------------------+% File : LAT001-3 : TPTP v7.2.0. Released v1.0.0.+% Domain : Lattice Theory+% Axioms : Lattice theory unique complement (equality) axioms+% Version : [McC88] (equality) axioms.+% English :++% Refs : [Bum65] Bumcroft (1965), Proceedings of the Glasgow Mathematic+% : [McC88] McCune (1988), Challenge Equality Problems in Lattice+% Source : [McC88]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 4 ( 1 non-Horn; 0 unit; 4 RR)+% Number of atoms : 11 ( 2 equality)+% Maximal clause size : 3 ( 3 average)+% Number of predicates : 3 ( 0 propositional; 2-2 arity)+% Number of functors : 1 ( 0 constant; 2-2 arity)+% Number of variables : 9 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires LAT001-0.ax LAT001-1.ax+%--------------------------------------------------------------------------+%----Definition of unique complement+cnf(unique_complement1,axiom,+ ( ~ unique_complement(X,Y)+ | complement(X,Y) )).++cnf(unique_complement2,axiom,+ ( ~ unique_complement(X,Y)+ | ~ complement(X,Z)+ | Z = Y )).++cnf(unique_complement3,axiom,+ ( unique_complement(X,Y)+ | ~ complement(X,Y)+ | complement(X,f(X,Y)) )).++cnf(unique_complement4,axiom,+ ( unique_complement(X,Y)+ | ~ complement(X,Y)+ | f(X,Y) != Y )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT001-4.ax view
@@ -0,0 +1,36 @@+%--------------------------------------------------------------------------+% File : LAT001-4 : TPTP v7.2.0. Released v3.1.0.+% Domain : Lattice Theory+% Axioms : Lattice theory unique complementation (equality) axioms+% Version : [McC05] (equality) axioms.+% English :++% Refs : [McC05] McCune (2005), Email to Geoff Sutcliffe+% Source : [McC05]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 3 ( 0 non-Horn; 2 unit; 1 RR)+% Number of atoms : 5 ( 5 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 2 constant; 0-2 arity)+% Number of variables : 4 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires LAT001-0.ax+%--------------------------------------------------------------------------+%----Unique complementation+cnf(complement_join,axiom,+ ( join(X,complement(X)) = one )).++cnf(complement_meet,axiom,+ ( meet(X,complement(X)) = zero )).++cnf(meet_join_complement,axiom,+ ( meet(X,Y) != zero+ | join(X,Y) != one+ | complement(X) = Y )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT002-0.ax view
@@ -0,0 +1,137 @@+%--------------------------------------------------------------------------+% File : LAT002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Lattice Theory+% Axioms : Lattice theory axioms+% Version : [MOW76] axioms :+% Incomplete > Reduced & Augmented > Complete.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% Source : [MOW76]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 20 ( 0 non-Horn; 8 unit; 12 RR)+% Number of atoms : 48 ( 2 equality)+% Maximal clause size : 5 ( 2 average)+% Number of predicates : 3 ( 0 propositional; 2-3 arity)+% Number of functors : 4 ( 2 constant; 0-2 arity)+% Number of variables : 66 ( 4 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : These axioms are used in [Wos88] p.215, augmented by some+% redundant axioms about 0 & 1.+% : The original [MOW76] axioms have two extra redundant+% modularity axioms.+% : [OTTER] uses these too, augmented by some redundant axioms.+% : The [MOW76] axiomatisation is missing the axioms that make+% join and meet total functions.+%--------------------------------------------------------------------------+%----Union of n1 and x is equal to n1 : (n1 v X) = n1+cnf(join_1_and_x,axiom,+ ( join(n1,X,n1) )).++%----Union of x with itself is equal to x : (X v X) = X+cnf(join_x_and_x,axiom,+ ( join(X,X,X) )).++%----Union of n0 and x is equal to x : (n0 v X) = X+cnf(join_0_and_x,axiom,+ ( join(n0,X,X) )).++%----Intersection of n0 and x is equal to n0 : (n0 ^ X) = n0+cnf(meet_0_and_x,axiom,+ ( meet(n0,X,n0) )).++%----Intersection of x and itself is equal to x : (X ^ X) = X+cnf(meet_x_and_x,axiom,+ ( meet(X,X,X) )).++%----Intersection of n1 and x is equal to itself : (n1 ^ X) = X+cnf(meet_1_and_x,axiom,+ ( meet(n1,X,X) )).++%----Intersection of x and y , is the same as meet of y and x.+%---- (X ^ Y) = (Y ^ X),+cnf(commutativity_of_meet,axiom,+ ( ~ meet(X,Y,Z)+ | meet(Y,X,Z) )).++%----Union of x and y is the same as join of y and x. (X v Y) = (Y v X),+cnf(commutativity_of_join,axiom,+ ( ~ join(X,Y,Z)+ | join(Y,X,Z) )).++%----Union of x with the meet of x and y is the same as x.+%---- X v (X ^ Y) = X+cnf(absorbtion1,axiom,+ ( ~ meet(X,Y,Z)+ | join(X,Z,X) )).++%----Intersection of x with the join of x and y is the same as x.+%---- X ^ (X v Y) = X+cnf(absorbtion2,axiom,+ ( ~ join(X,Y,Z)+ | meet(X,Z,X) )).++%----The operation '^', meet ,is associative+%---- X ^ (Y ^ Z) = (X ^ Y) ^ Z+cnf(associativity_of_meet1,axiom,+ ( ~ meet(X,Y,Xy)+ | ~ meet(Y,Z,Yz)+ | ~ meet(X,Yz,Xyz)+ | meet(Xy,Z,Xyz) )).++cnf(associativity_of_meet2,axiom,+ ( ~ meet(X,Y,Xy)+ | ~ meet(Y,Z,Yz)+ | ~ meet(Xy,Z,Xyz)+ | meet(X,Yz,Xyz) )).++%----The operation 'v' is associative X v (Y v Z) = (X v Y) v Z+cnf(associativity_of_join1,axiom,+ ( ~ join(X,Y,Xy)+ | ~ join(Y,Z,Yz)+ | ~ join(X,Yz,Xyz)+ | join(Xy,Z,Xyz) )).++cnf(associativity_of_join2,axiom,+ ( ~ join(X,Y,Xy)+ | ~ join(Y,Z,Yz)+ | ~ join(Xy,Z,Xyz)+ | join(X,Yz,Xyz) )).++%----(X ^ Z) = X implies that (Z ^ (X v Y)) = (X v (Y ^ Z)),+cnf(modularity1,axiom,+ ( ~ meet(X,Z,X)+ | ~ join(X,Y,X1)+ | ~ meet(Y,Z,Y1)+ | ~ meet(Z,X1,Z1)+ | join(X,Y1,Z1) )).++cnf(modularity2,axiom,+ ( ~ meet(X,Z,X)+ | ~ join(X,Y,X1)+ | ~ meet(Y,Z,Y1)+ | ~ join(X,Y1,Z1)+ | meet(Z,X1,Z1) )).++cnf(meet_total_function_1,axiom,+ ( meet(X,Y,meet_of(X,Y)) )).++cnf(meet_total_function_2,axiom,+ ( ~ meet(X,Y,Z1)+ | ~ meet(X,Y,Z2)+ | Z1 = Z2 )).++cnf(join_total_function_1,axiom,+ ( join(X,Y,join_of(X,Y)) )).++cnf(join_total_function_2,axiom,+ ( ~ join(X,Y,Z1)+ | ~ join(X,Y,Z2)+ | Z1 = Z2 )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT003-0.ax view
@@ -0,0 +1,57 @@+%--------------------------------------------------------------------------+% File : LAT003-0 : TPTP v7.2.0. Bugfixed v2.2.1.+% Domain : Lattice Theory (Ortholattices)+% Axioms : Ortholattice theory (equality) axioms+% Version : [McC98b] (equality) axioms.+% English :++% Refs : [McC98a] McCune (1998), Automatic Proofs and Counterexamples f+% : [McC98b] McCune (1998), Email to G. Sutcliffe+% Source : [McC98b]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 10 ( 0 non-Horn; 10 unit; 0 RR)+% Number of atoms : 10 ( 10 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 2 constant; 0-2 arity)+% Number of variables : 19 ( 2 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments :+% Bugfixes : v2.2.1 - Added clauses top and bottom.+%--------------------------------------------------------------------------+%----Axioms for an Ortholattice:+cnf(top,axiom,+ ( join(complement(X),X) = n1 )).++cnf(bottom,axiom,+ ( meet(complement(X),X) = n0 )).++cnf(absorption2,axiom,+ ( join(X,meet(X,Y)) = X )).++cnf(commutativity_of_meet,axiom,+ ( meet(X,Y) = meet(Y,X) )).++cnf(commutativity_of_join,axiom,+ ( join(X,Y) = join(Y,X) )).++cnf(associativity_of_meet,axiom,+ ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) )).++cnf(associativity_of_join,axiom,+ ( join(join(X,Y),Z) = join(X,join(Y,Z)) )).++cnf(complement_involution,axiom,+ ( complement(complement(X)) = X )).++cnf(join_complement,axiom,+ ( join(X,join(Y,complement(Y))) = join(Y,complement(Y)) )).++cnf(meet_complement,axiom,+ ( meet(X,Y) = complement(join(complement(X),complement(Y))) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT004-0.ax view
@@ -0,0 +1,50 @@+%--------------------------------------------------------------------------+% File : LAT004-0 : TPTP v7.2.0. Released v2.2.0.+% Domain : Lattice Theory (Quasilattices)+% Axioms : Quasilattice theory (equality) axioms+% Version : [McC98b] (equality) axioms.+% English :++% Refs : [McC98] McCune (1998), Email to G. Sutcliffe+% : [MP96] McCune & Padmanabhan (1996), Automated Deduction in Eq+% Source : [McC98]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 8 ( 0 non-Horn; 8 unit; 0 RR)+% Number of atoms : 8 ( 8 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 2 ( 0 constant; 2-2 arity)+% Number of variables : 18 ( 0 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----Quasilattice theory:+cnf(idempotence_of_meet,axiom,+ ( meet(X,X) = X )).++cnf(idempotence_of_join,axiom,+ ( join(X,X) = X )).++cnf(commutativity_of_meet,axiom,+ ( meet(X,Y) = meet(Y,X) )).++cnf(commutativity_of_join,axiom,+ ( join(X,Y) = join(Y,X) )).++cnf(associativity_of_meet,axiom,+ ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) )).++cnf(associativity_of_join,axiom,+ ( join(join(X,Y),Z) = join(X,join(Y,Z)) )).++cnf(quasi_lattice1,axiom,+ ( join(meet(X,join(Y,Z)),meet(X,Y)) = meet(X,join(Y,Z)) )).++cnf(quasi_lattice2,axiom,+ ( meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT005-0.ax view
@@ -0,0 +1,44 @@+%------------------------------------------------------------------------------+% File : LAT005-0 : TPTP v7.2.0. Released v2.2.0.+% Domain : Lattice Theory (Weakly Associative Lattices)+% Axioms : Weakly Associative Lattices theory (equality) axioms+% Version : [McC98b] (equality) axioms.+% English :++% Refs : [McC98] McCune (1998), Email to G. Sutcliffe+% : [MP96] McCune & Padmanabhan (1996), Automated Deduction in Eq+% Source : [McC98]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 0 RR)+% Number of atoms : 6 ( 6 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 2 ( 0 constant; 2-2 arity)+% Number of variables : 12 ( 4 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Axioms for a weakly associative lattice:+cnf(idempotence_of_meet,axiom,+ ( meet(X,X) = X )).++cnf(idempotence_of_join,axiom,+ ( join(X,X) = X )).++cnf(commutativity_of_meet,axiom,+ ( meet(X,Y) = meet(Y,X) )).++cnf(commutativity_of_join,axiom,+ ( join(X,Y) = join(Y,X) )).++cnf(wal_1,axiom,+ ( meet(meet(join(X,Y),join(Z,Y)),Y) = Y )).++cnf(wal_2,axiom,+ ( join(join(meet(X,Y),meet(Z,Y)),Y) = Y )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT006-0.ax view
@@ -0,0 +1,54 @@+%------------------------------------------------------------------------------+% File : LAT006-0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Lattice Theory+% Axioms : Tarski's fixed point theorem (equality) axioms+% Version : [Pau06] (equality) axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Tarski.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 9 ( 0 non-Horn; 6 unit; 3 RR)+% Number of atoms : 12 ( 12 equality)+% Maximal clause size : 2 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 7 ( 0 constant; 3-5 arity)+% Number of variables : 56 ( 21 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+cnf(cls_Tarski_Opotype_Oext__inject_0,axiom,+ ( c_Tarski_Opotype_Opotype__ext(V_pset,V_order,V_more,T_a,T_z) != c_Tarski_Opotype_Opotype__ext(V_pset_H,V_order_H,V_more_H,T_a,T_z)+ | V_pset = V_pset_H )).++cnf(cls_Tarski_Opotype_Oext__inject_1,axiom,+ ( c_Tarski_Opotype_Opotype__ext(V_pset,V_order,V_more,T_a,T_z) != c_Tarski_Opotype_Opotype__ext(V_pset_H,V_order_H,V_more_H,T_a,T_z)+ | V_order = V_order_H )).++cnf(cls_Tarski_Opotype_Oext__inject_2,axiom,+ ( c_Tarski_Opotype_Opotype__ext(V_pset,V_order,V_more,T_a,T_z) != c_Tarski_Opotype_Opotype__ext(V_pset_H,V_order_H,V_more_H,T_a,T_z)+ | V_more = V_more_H )).++cnf(cls_Tarski_Opotype_Oselect__convs__1_0,axiom,+ ( c_Tarski_Opotype_Opset(c_Tarski_Opotype_Opotype__ext(V_y,V_order,V_more,T_a,T_z),T_a,T_z) = V_y )).++cnf(cls_Tarski_Opotype_Oselect__convs__2_0,axiom,+ ( c_Tarski_Opotype_Oorder(c_Tarski_Opotype_Opotype__ext(V_pset,V_y,V_more,T_a,T_z),T_a,T_z) = V_y )).++cnf(cls_Tarski_Opotype_Oselect__convs__3_0,axiom,+ ( c_Tarski_Opotype_Omore(c_Tarski_Opotype_Opotype__ext(V_pset,V_order,V_y,T_a,T_a),T_a,T_a) = V_y )).++cnf(cls_Tarski_Opotype_Oupdate__convs__1_0,axiom,+ ( c_Tarski_Opotype_Opset__update(V_pset_H,c_Tarski_Opotype_Opotype__ext(V_pset,V_order,V_more,T_a,T_z),T_a,T_z) = c_Tarski_Opotype_Opotype__ext(V_pset_H,V_order,V_more,T_a,T_z) )).++cnf(cls_Tarski_Opotype_Oupdate__convs__2_0,axiom,+ ( c_Tarski_Opotype_Oorder__update(V_order_H,c_Tarski_Opotype_Opotype__ext(V_pset,V_order,V_more,T_a,T_z),T_a,T_z) = c_Tarski_Opotype_Opotype__ext(V_pset,V_order_H,V_more,T_a,T_z) )).++cnf(cls_Tarski_Opotype_Oupdate__convs__3_0,axiom,+ ( c_Tarski_Opotype_Omore__update(V_more_H,c_Tarski_Opotype_Opotype__ext(V_pset,V_order,V_more,T_a,T_z),T_z,T_a) = c_Tarski_Opotype_Opotype__ext(V_pset,V_order,V_more_H,T_a,T_z) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT006-1.ax view
@@ -0,0 +1,72 @@+%------------------------------------------------------------------------------+% File : LAT006-1 : TPTP v7.2.0. Released v3.2.0.+% Domain : Lattice Theory+% Axioms : Tarski's fixed point theorem GLB (equality) axioms+% Version : [Pau06] (equality) axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Tarski__glb.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 13 ( 0 non-Horn; 7 unit; 11 RR)+% Number of atoms : 22 ( 4 equality)+% Maximal clause size : 5 ( 2 average)+% Number of predicates : 6 ( 0 propositional; 2-3 arity)+% Number of functors : 16 ( 7 constant; 0-4 arity)+% Number of variables : 23 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,+ ( v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) )).++cnf(cls_Tarski_OCL_Olub__upper_0,axiom,+ ( ~ c_in(V_x,V_S,T_a)+ | ~ c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))+ | ~ c_in(V_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))+ | ~ c_lessequals(V_S,c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),tc_set(T_a))+ | c_in(c_Pair(V_x,c_Tarski_Olub(V_S,V_cl,T_a),T_a,T_a),c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a)) )).++cnf(cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0,axiom,+ ( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(V_cl,T_a),T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a))+ | c_in(c_Pair(V_y,V_x,T_a,T_a),c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a)) )).++cnf(cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_1,axiom,+ ( ~ c_in(c_Pair(V_y,V_x,T_a,T_a),c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a))+ | c_in(c_Pair(V_x,V_y,T_a,T_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(V_cl,T_a),T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a)) )).++cnf(cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Aantisym_A_Iorder_Acl1_J_A_61_61_ATrue_0,axiom,+ ( ~ c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))+ | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),T_a) )).++cnf(cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Arefl_A_Ipset_Acl1_J_A_Iorder_Acl1_J_A_61_61_ATrue_0,axiom,+ ( ~ c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))+ | c_Relation_Orefl(c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),T_a) )).++cnf(cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Atrans_A_Iorder_Acl1_J_A_61_61_ATrue_0,axiom,+ ( ~ c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))+ | c_Relation_Otrans(c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),T_a) )).++cnf(cls_Tarski_Ocl_A_58_ACompleteLattice_A_61_61_ATrue_0,axiom,+ ( c_in(v_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) )).++cnf(cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0,axiom,+ ( c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) )).++cnf(cls_Tarski_Odual_Acl_A_58_APartialOrder_0,axiom,+ ( c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) )).++cnf(cls_Tarski_Oglb__dual__lub_0,axiom,+ ( c_Tarski_Oglb(V_S,V_cl,T_a) = c_Tarski_Olub(V_S,c_Tarski_Odual(V_cl,T_a),T_a) )).++cnf(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,axiom,+ ( c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl,T_a),T_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit) )).++cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,+ ( v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/LAT006-2.ax view
@@ -0,0 +1,105 @@+%------------------------------------------------------------------------------+% File : LAT006-2 : TPTP v7.2.0. Released v3.2.0.+% Domain : Lattice Theory+% Axioms : Tarski's fixed point theorem L (equality) axioms+% Version : [Pau06] (equality) axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Tarski__L.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 15 ( 5 non-Horn; 1 unit; 12 RR)+% Number of atoms : 51 ( 4 equality)+% Maximal clause size : 5 ( 3 average)+% Number of predicates : 7 ( 0 propositional; 2-4 arity)+% Number of functors : 17 ( 7 constant; 0-4 arity)+% Number of variables : 51 ( 6 singleton)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,axiom,+ ( ~ c_lessequals(V_S,V_A,tc_set(t_a))+ | c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))+ | c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)+ | c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)+ | V_S = c_emptyset )).++cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,axiom,+ ( ~ c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))+ | ~ c_lessequals(V_S,V_A,tc_set(t_a))+ | c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))+ | c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)+ | V_S = c_emptyset )).++cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2,axiom,+ ( ~ c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))+ | ~ c_lessequals(V_S,V_A,tc_set(t_a))+ | c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))+ | c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)+ | V_S = c_emptyset )).++cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3,axiom,+ ( ~ c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))+ | ~ c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))+ | ~ c_lessequals(V_S,V_A,tc_set(t_a))+ | c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))+ | V_S = c_emptyset )).++cnf(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0,axiom,+ ( ~ c_in(V_x,V_S,T_a)+ | ~ c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))+ | c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) )).++cnf(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0,axiom,+ ( ~ c_in(V_x,V_S,T_a)+ | ~ c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))+ | c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) )).++cnf(cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0,axiom,+ ( ~ c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))+ | ~ c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))+ | c_in(V_x,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),T_a) )).++cnf(cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0,axiom,+ ( ~ c_in(V_b,v_A,t_a)+ | ~ c_in(V_a,v_A,t_a)+ | ~ c_lessequals(V_S,c_Tarski_Ointerval(v_r,V_a,V_b,t_a),tc_set(t_a))+ | c_lessequals(V_S,v_A,tc_set(t_a)) )).++cnf(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,axiom,+ ( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)+ | ~ c_in(V_y,V_S,t_a)+ | c_in(c_Pair(V_y,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) )).++cnf(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0,axiom,+ ( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)+ | ~ c_in(V_z,v_A,t_a)+ | c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))+ | c_in(v_sko__4mi(V_S,v_r,V_z),V_S,t_a) )).++cnf(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1,axiom,+ ( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)+ | ~ c_in(V_z,v_A,t_a)+ | ~ c_in(c_Pair(v_sko__4mi(V_S,v_r,V_z),V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))+ | c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) )).++cnf(cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Aantisym_A_Iorder_Acl1_J_A_61_61_ATrue_0,axiom,+ ( ~ c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))+ | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),T_a) )).++cnf(cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Arefl_A_Ipset_Acl1_J_A_Iorder_Acl1_J_A_61_61_ATrue_0,axiom,+ ( ~ c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))+ | c_Relation_Orefl(c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),T_a) )).++cnf(cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Atrans_A_Iorder_Acl1_J_A_61_61_ATrue_0,axiom,+ ( ~ c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))+ | c_Relation_Otrans(c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),T_a) )).++cnf(cls_Tarski_Ocl_A_58_ACompleteLattice_A_61_61_ATrue_0,axiom,+ ( c_in(v_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/LCL001-0.ax view
@@ -0,0 +1,38 @@+%--------------------------------------------------------------------------+% File : LCL001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Logic Calculi (Wajsberg Algebras)+% Axioms : Wajsberg algebra+% Version : [Bon91] (equality) axioms.+% English :++% Refs : [FRT84] Font et al. (1984), Wajsberg Algebras+% : [Bon91] Bonacina (1991), Problems in Lukasiewicz Logic+% : [MW92] McCune & Wos (1992), Experiments in Automated Deductio+% Source : [MW92]+% Names : MV Sentential Calculus [MW92]++% Status : Satisfiable+% Syntax : Number of clauses : 4 ( 0 non-Horn; 4 unit; 0 RR)+% Number of atoms : 4 ( 4 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 3 ( 1 constant; 0-2 arity)+% Number of variables : 8 ( 0 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+cnf(wajsberg_1,axiom,+ ( implies(truth,X) = X )).++cnf(wajsberg_2,axiom,+ ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth )).++cnf(wajsberg_3,axiom,+ ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) )).++cnf(wajsberg_4,axiom,+ ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LCL001-1.ax view
@@ -0,0 +1,41 @@+%--------------------------------------------------------------------------+% File : LCL001-1 : TPTP v7.2.0. Released v1.0.0.+% Domain : Logic Calculi (Wajsberg Algebras)+% Axioms : Wajsberg algebra lattice structure definitions+% Version : [Bon91] (equality) axioms.+% English :++% Refs : [FRT84] Font et al. (1984), Wajsberg Algebras+% : [Bon91] Bonacina (1991), Problems in Lukasiewicz Logic+% Source : [Bon91]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 4 ( 0 non-Horn; 2 unit; 2 RR)+% Number of atoms : 6 ( 4 equality)+% Maximal clause size : 2 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 1 constant; 0-2 arity)+% Number of variables : 8 ( 0 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : Requires LCL001-0.ax+%--------------------------------------------------------------------------+%----Definitions of big_V and big_hat+cnf(big_V_definition,axiom,+ ( big_V(X,Y) = implies(implies(X,Y),Y) )).++cnf(big_hat_definition,axiom,+ ( big_hat(X,Y) = not(big_V(not(X),not(Y))) )).++%----Definition of partial order+cnf(partial_order_definition1,axiom,+ ( ~ ordered(X,Y)+ | implies(X,Y) = truth )).++cnf(partial_order_definition2,axiom,+ ( implies(X,Y) != truth+ | ordered(X,Y) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LCL001-2.ax view
@@ -0,0 +1,45 @@+%--------------------------------------------------------------------------+% File : LCL001-2 : TPTP v7.2.0. Released v1.0.0.+% Domain : Logic Calculi (Wajsberg Algebras)+% Axioms : Wajsberg algebra AND and OR definitions+% Version : [AB90] (equality) axioms.+% English :++% Refs : [FRT84] Font et al. (1984), Wajsberg Algebras+% : [AB90] Anantharaman & Bonacina (1990), An Application of the+% : [Bon91] Bonacina (1991), Problems in Lukasiewicz Logic+% Source : [Bon91]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 0 RR)+% Number of atoms : 6 ( 6 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 4 ( 0 constant; 1-2 arity)+% Number of variables : 14 ( 0 singleton)+% Maximal term depth : 4 ( 3 average)+% SPC : ++% Comments : Requires LCL001-0.ax+%--------------------------------------------------------------------------+%----Definitions of or and and, which are AC+cnf(or_definition,axiom,+ ( or(X,Y) = implies(not(X),Y) )).++cnf(or_associativity,axiom,+ ( or(or(X,Y),Z) = or(X,or(Y,Z)) )).++cnf(or_commutativity,axiom,+ ( or(X,Y) = or(Y,X) )).++cnf(and_definition,axiom,+ ( and(X,Y) = not(or(not(X),not(Y))) )).++cnf(and_associativity,axiom,+ ( and(and(X,Y),Z) = and(X,and(Y,Z)) )).++cnf(and_commutativity,axiom,+ ( and(X,Y) = and(Y,X) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LCL002-0.ax view
@@ -0,0 +1,50 @@+%--------------------------------------------------------------------------+% File : LCL002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Logic Calculi (Wajsberg Algebras)+% Axioms : Alternative Wajsberg algebra+% Version : [AB90] (equality) axioms.+% English :++% Refs : [FRT84] Font et al. (1984), Wajsberg Algebras+% : [AB90] Anantharaman & Bonacina (1990), An Application of the+% : [Bon91] Bonacina (1991), Problems in Lukasiewicz Logic+% Source : [Bon91]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 8 ( 0 non-Horn; 8 unit; 0 RR)+% Number of atoms : 8 ( 8 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 2 constant; 0-2 arity)+% Number of variables : 10 ( 1 singleton)+% Maximal term depth : 5 ( 2 average)+% SPC : ++% Comments : Requires LAT003-0.ax+%--------------------------------------------------------------------------+cnf(axiom_1,axiom,+ ( not(X) = xor(X,truth) )).++cnf(axiom_2,axiom,+ ( xor(X,falsehood) = X )).++cnf(axiom_3,axiom,+ ( xor(X,X) = falsehood )).++cnf(axiom_4,axiom,+ ( and_star(X,truth) = X )).++cnf(axiom_5,axiom,+ ( and_star(X,falsehood) = falsehood )).++cnf(axiom_6,axiom,+ ( and_star(xor(truth,X),X) = falsehood )).++cnf(axiom_7,axiom,+ ( xor(X,xor(truth,Y)) = xor(xor(X,truth),Y) )).++cnf(axiom_8,axiom,+ ( and_star(xor(and_star(xor(truth,X),Y),truth),Y) = and_star(xor(and_star(xor(truth,Y),X),truth),X) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LCL002-1.ax view
@@ -0,0 +1,47 @@+%--------------------------------------------------------------------------+% File : LCL002-1 : TPTP v7.2.0. Released v1.0.0.+% Domain : Logic Calculi (Wajsberg Algebras)+% Axioms : Alternative Wajsberg algebra definitions+% Version : [AB90] (equality) axioms.+% English :++% Refs : [FRT84] Font et al. (1984), Wajsberg Algebras+% : [AB90] Anantharaman & Bonacina (1990), An Application of the+% : [Bon91] Bonacina (1991), Problems in Lukasiewicz Logic+% Source : [Bon91]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 1 RR)+% Number of atoms : 6 ( 6 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 7 ( 2 constant; 0-2 arity)+% Number of variables : 11 ( 0 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : Requires LCL001-0.ax LCL001-2.ax+%--------------------------------------------------------------------------+%----Definitions of and_star and xor, where and_star is AC and xor is C+cnf(xor_definition,axiom,+ ( xor(X,Y) = or(and(X,not(Y)),and(not(X),Y)) )).++cnf(xor_commutativity,axiom,+ ( xor(X,Y) = xor(Y,X) )).++cnf(and_star_definition,axiom,+ ( and_star(X,Y) = not(or(not(X),not(Y))) )).++%---I guess the next two can be derived from the AC of and+cnf(and_star_associativity,axiom,+ ( and_star(and_star(X,Y),Z) = and_star(X,and_star(Y,Z)) )).++cnf(and_star_commutativity,axiom,+ ( and_star(X,Y) = and_star(Y,X) )).++%----Definition of false in terms of truth+cnf(false_definition,axiom,+ ( not(truth) = falsehood )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LCL003-0.ax view
@@ -0,0 +1,57 @@+%--------------------------------------------------------------------------+% File : LCL003-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Logic Calculi (Propositional)+% Axioms : Propositional logic deduction+% Version : [WR27] axioms : Reduced & Augmented.+% English :++% Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica+% : [ORo89] O'Rourke (1989), LT Revisited: Explanation-Based Learn+% : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B+% Source : [SE94]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 8 ( 0 non-Horn; 5 unit; 3 RR)+% Number of atoms : 13 ( 0 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 1-1 arity)+% Number of functors : 2 ( 0 constant; 1-2 arity)+% Number of variables : 17 ( 1 singleton)+% Maximal term depth : 5 ( 3 average)+% SPC : ++% Comments : Reduced to use only or and not, and includes a redundant rule+% of transitivity of implication, and a reduced rule of+% detachment.+%--------------------------------------------------------------------------+cnf(axiom_1_2,axiom,+ ( axiom(or(not(or(A,A)),A)) )).++cnf(axiom_1_3,axiom,+ ( axiom(or(not(A),or(B,A))) )).++cnf(axiom_1_4,axiom,+ ( axiom(or(not(or(A,B)),or(B,A))) )).++cnf(axiom_1_5,axiom,+ ( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )).++cnf(axiom_1_6,axiom,+ ( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )).++cnf(rule_1,axiom,+ ( theorem(X)+ | ~ axiom(X) )).++cnf(rule_2,axiom,+ ( theorem(X)+ | ~ axiom(or(not(Y),X))+ | ~ theorem(Y) )).++cnf(rule_3,axiom,+ ( theorem(or(not(X),Z))+ | ~ axiom(or(not(X),Y))+ | ~ theorem(or(not(Y),Z)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LCL004-0.ax view
@@ -0,0 +1,57 @@+%------------------------------------------------------------------------------+% File : LCL004-0 : TPTP v7.2.0. Released v2.3.0.+% Domain : Logic Calculi (Propositional)+% Axioms : Propositional logic deduction+% Version : [WR27] axioms.+% English :++% Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica+% Source : [WR27]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 8 ( 0 non-Horn; 6 unit; 2 RR)+% Number of atoms : 11 ( 1 equality)+% Maximal clause size : 3 ( 1 average)+% Number of predicates : 3 ( 0 propositional; 1-2 arity)+% Number of functors : 3 ( 0 constant; 1-2 arity)+% Number of variables : 16 ( 1 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : This axiomatization follows [WR27], allowing full detachment+% but no chaining (which is a dependant theorem). Compare with+% LCL003-0.ax.+%------------------------------------------------------------------------------+cnf(axiom_1_2,axiom,+ ( axiom(implies(or(A,A),A)) )).++cnf(axiom_1_3,axiom,+ ( axiom(implies(A,or(B,A))) )).++cnf(axiom_1_4,axiom,+ ( axiom(implies(or(A,B),or(B,A))) )).++cnf(axiom_1_5,axiom,+ ( axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) )).++cnf(axiom_1_6,axiom,+ ( axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) )).++cnf(implies_definition,axiom,+ ( implies(X,Y) = or(not(X),Y) )).++cnf(rule_1,axiom,+ ( theorem(X)+ | ~ axiom(X) )).++cnf(rule_2,axiom,+ ( theorem(X)+ | ~ theorem(implies(Y,X))+ | ~ theorem(Y) )).++% input_clause(rule_3,axiom,+% [++theorem(implies(X,Z)),+% --theorem(implies(X,Y)),+% --theorem(implies(Y,Z))]).+%------------------------------------------------------------------------------
+ test-data/tptp/cnf/LCL004-1.ax view
@@ -0,0 +1,27 @@+%--------------------------------------------------------------------------+% File : LCL004-1 : TPTP v7.2.0. Released v2.3.0.+% Domain : Logic Calculi (Propositional)+% Axioms : Propositional logic deduction axioms for AND+% Version : [WR27] axioms.+% English :++% Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica+% Source : [WR27]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 1 ( 0 non-Horn; 1 unit; 0 RR)+% Number of atoms : 1 ( 1 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 3 ( 0 constant; 1-2 arity)+% Number of variables : 2 ( 0 singleton)+% Maximal term depth : 4 ( 3 average)+% SPC : ++% Comments : Requires LCL004-0.ax+%--------------------------------------------------------------------------+cnf(and_defn,axiom,+ ( and(P,Q) = not(or(not(P),not(Q))) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LCL004-2.ax view
@@ -0,0 +1,27 @@+%--------------------------------------------------------------------------+% File : LCL004-2 : TPTP v7.2.0. Released v2.3.0.+% Domain : Logic Calculi (Propositional)+% Axioms : Propositional logic deduction axioms for EQUIVALENT+% Version : [WR27] axioms.+% English :++% Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica+% Source : [WR27]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 1 ( 0 non-Horn; 1 unit; 0 RR)+% Number of atoms : 1 ( 1 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 3 ( 0 constant; 2-2 arity)+% Number of variables : 2 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires LCL004-0.ax LCL004-1.ax+%--------------------------------------------------------------------------+cnf(equivalent_defn,axiom,+ ( equivalent(P,Q) = and(implies(P,Q),implies(Q,P)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/LCL005-0.ax view
@@ -0,0 +1,58 @@+%------------------------------------------------------------------------------+% File : LCL005-0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Logic Calculi (Propositional)+% Axioms : Propositional logic+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : PropLog.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 10 ( 0 non-Horn; 6 unit; 10 RR)+% Number of atoms : 14 ( 12 equality)+% Maximal clause size : 2 ( 1 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 5 ( 1 constant; 0-3 arity)+% Number of variables : 34 ( 20 singleton)+% Maximal term depth : 2 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-2.ax+%------------------------------------------------------------------------------+cnf(cls_PropLog_Opl_Odistinct__1__iff1_0,axiom,+ ( c_PropLog_Opl_Ofalse != c_PropLog_Opl_Ovar(V_a_H,T_a) )).++cnf(cls_PropLog_Opl_Odistinct__2__iff1_0,axiom,+ ( c_PropLog_Opl_Ovar(V_a_H,T_a) != c_PropLog_Opl_Ofalse )).++cnf(cls_PropLog_Opl_Odistinct__3__iff1_0,axiom,+ ( c_PropLog_Opl_Ofalse != c_PropLog_Opl_Oop_A_N_62(V_pl1_H,V_pl2_H,T_a) )).++cnf(cls_PropLog_Opl_Odistinct__4__iff1_0,axiom,+ ( c_PropLog_Opl_Oop_A_N_62(V_pl1_H,V_pl2_H,T_a) != c_PropLog_Opl_Ofalse )).++cnf(cls_PropLog_Opl_Odistinct__5__iff1_0,axiom,+ ( c_PropLog_Opl_Ovar(V_a,T_a) != c_PropLog_Opl_Oop_A_N_62(V_pl1_H,V_pl2_H,T_a) )).++cnf(cls_PropLog_Opl_Odistinct__6__iff1_0,axiom,+ ( c_PropLog_Opl_Oop_A_N_62(V_pl1_H,V_pl2_H,T_a) != c_PropLog_Opl_Ovar(V_a,T_a) )).++cnf(cls_PropLog_Opl_Oinject__1__iff1_0,axiom,+ ( c_PropLog_Opl_Ovar(V_a,T_a) != c_PropLog_Opl_Ovar(V_a_H,T_a)+ | V_a = V_a_H )).++cnf(cls_PropLog_Opl_Oinject__2__iff1_0,axiom,+ ( c_PropLog_Opl_Oop_A_N_62(V_pl1,V_pl2,T_a) != c_PropLog_Opl_Oop_A_N_62(V_pl1_H,V_pl2_H,T_a)+ | V_pl1 = V_pl1_H )).++cnf(cls_PropLog_Opl_Oinject__2__iff1_1,axiom,+ ( c_PropLog_Opl_Oop_A_N_62(V_pl1,V_pl2,T_a) != c_PropLog_Opl_Oop_A_N_62(V_pl1_H,V_pl2_H,T_a)+ | V_pl2 = V_pl2_H )).++cnf(cls_PropLog_Othms_OH_0,axiom,+ ( ~ c_in(V_p,V_H,tc_PropLog_Opl(T_a))+ | c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/LDA001-0.ax view
@@ -0,0 +1,76 @@+%--------------------------------------------------------------------------+% File : LDA001-0 : TPTP v7.2.0. Bugfixed v2.6.0.+% Domain : LD-Algebras (Embedding algebras)+% Axioms : Embedding algebra+% Version : [Jec93] axioms : Incomplete.+% English : LD-algebras are related to large cardinals. Under a very+% strong large cardinal assumption, the free-monogenic+% LD-algebra can be represented by an algebra of elementary+% embeddings. Theorems about this algebra can be proved from+% a small number of properties, suggesting the definition+% of an embedding algebra.++% Refs : [Jec93] Jech (1993), LD-Algebras+% : [Jec02] Jech (2002), Email to Geoff Sutcliffe+% Source : [Jec93]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 9 ( 2 non-Horn; 4 unit; 3 RR)+% Number of atoms : 16 ( 5 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 3 ( 0 constant; 1-2 arity)+% Number of variables : 21 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : [Jec93] says, "Even though axioms for embedding algebras+% include additional properties to those listed below, many+% results can be proved from these axioms."+% Bugfixes : v2.6.0 - Fixed axioms; they were unsatisfiable [Jec02]+%--------------------------------------------------------------------------+%----A1 x(yz)=(xy)(xz)+cnf(a1,axiom,+ ( f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)) )).++%----A1a a(x,a(y,z)) = a(x*y,a(x,z))+cnf(a1a,axiom,+ ( a(X,a(Y,Z)) = a(f(X,Y),a(X,Z)) )).++%----A2 cr(u*v) = a(u,cr(v))+cnf(a2,axiom,+ ( critical_point(f(U,V)) = a(U,critical_point(V)) )).++%----B1 -(x<x)+cnf(b1,axiom,+ ( ~ less(X,X) )).++%----B2 linear+cnf(b2,axiom,+ ( less(X,Y)+ | less(Y,X)+ | X = Y )).++%----B3 transitive+cnf(b3,axiom,+ ( ~ less(X,Y)+ | ~ less(Y,Z)+ | less(X,Z) )).++%----B4 if x<y then ux<uy+cnf(b4,axiom,+ ( ~ less(X,Y)+ | less(a(U,X),a(U,Y)) )).++%----C2 if x<crit(u) then ux=x+cnf(c2,axiom,+ ( ~ less(X,critical_point(U))+ | a(U,X) = X )).++%----C3 x<crit(u) or x<ux+cnf(c3,axiom,+ ( less(X,critical_point(U))+ | less(X,a(U,X)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/MGT001-0.ax view
@@ -0,0 +1,74 @@+%--------------------------------------------------------------------------+% File : MGT001-0 : TPTP v7.2.0. Released v2.4.0.+% Domain : Management (Organisation Theory)+% Axioms : Inequalities.+% Version : [Han98] axioms.+% English :++% Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe+% [CH00] Carroll & Hannan (2000), The Demography of Corporation+% [Han98] Hannan (1998), Rethinking Age Dependence in Organizati+% Source : [Kam00]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 11 ( 3 non-Horn; 0 unit; 10 RR)+% Number of atoms : 26 ( 5 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 5 ( 0 propositional; 2-2 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 23 ( 0 singleton)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Created with tptp2X -f tptp -t clausify:otter MGT001+0.ax+%--------------------------------------------------------------------------+cnf(definition_smaller_or_equal_1,axiom,+ ( ~ smaller_or_equal(A,B)+ | smaller(A,B)+ | A = B )).++cnf(definition_smaller_or_equal_2,axiom,+ ( ~ smaller(A,B)+ | smaller_or_equal(A,B) )).++cnf(definition_smaller_or_equal_3,axiom,+ ( A != B+ | smaller_or_equal(A,B) )).++cnf(definition_greater_or_equal_4,axiom,+ ( ~ greater_or_equal(A,B)+ | greater(A,B)+ | A = B )).++cnf(definition_greater_or_equal_5,axiom,+ ( ~ greater(A,B)+ | greater_or_equal(A,B) )).++cnf(definition_greater_or_equal_6,axiom,+ ( A != B+ | greater_or_equal(A,B) )).++cnf(definition_smaller_7,axiom,+ ( ~ smaller(A,B)+ | greater(B,A) )).++cnf(definition_smaller_8,axiom,+ ( ~ greater(A,B)+ | smaller(B,A) )).++cnf(meaning_postulate_greater_strict_9,axiom,+ ( ~ greater(A,B)+ | ~ greater(B,A) )).++cnf(meaning_postulate_greater_transitive_10,axiom,+ ( ~ greater(A,B)+ | ~ greater(B,C)+ | greater(A,C) )).++cnf(meaning_postulate_greater_comparable_11,axiom,+ ( smaller(A,B)+ | A = B+ | greater(A,B) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/MSC001-0.ax view
@@ -0,0 +1,4534 @@+%------------------------------------------------------------------------------+% File : MSC001-0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Miscellaneous+% Axioms : Sets, numbers, lists, etc, that make up the Isabelle/HOL library+% Version : [Pau06] axioms.+% English : The files MSC001-[012].ax .ax are really about everything: sets,+% numbers, lists and all the other things that make up the basic+% Isabelle/HOL library. Also, many of the axioms in MSC001-0.ax+% describe the Isabelle/HOL type class hierarchy.++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : common.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 1159 ( 17 non-Horn; 159 unit;1105 RR)+% Number of atoms : 2189 ( 36 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 81 ( 0 propositional; 1-3 arity)+% Number of functors : 100 ( 12 constant; 0-6 arity)+% Number of variables : 1351 ( 66 singleton)+% Maximal term depth : 4 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+cnf(cls_Datatype__Universe_OLeaf__inject__dest_0,axiom,+ ( c_Datatype__Universe_OLeaf(V_x,T_a,T_b) != c_Datatype__Universe_OLeaf(V_y,T_a,T_b)+ | V_x = V_y )).++cnf(cls_Datatype__Universe_ONumb__inject__dest_0,axiom,+ ( c_Datatype__Universe_ONumb(V_x,T_a,T_b) != c_Datatype__Universe_ONumb(V_y,T_a,T_b)+ | V_x = V_y )).++cnf(cls_Datatype__Universe_OdprodE_0,axiom,+ ( ~ c_in(V_c,c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | V_c = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(V_c,V_r,V_s,T_a,T_b),c_Main_OdprodE__2(V_c,V_r,V_s,T_a,T_b),T_a,T_b),c_Datatype__Universe_OScons(c_Main_OdprodE__3(V_c,V_r,V_s,T_a,T_b),c_Main_OdprodE__4(V_c,V_r,V_s,T_a,T_b),T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) )).++cnf(cls_Datatype__Universe_OdprodE_1,axiom,+ ( ~ c_in(V_c,c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | c_in(c_Pair(c_Main_OdprodE__2(V_c,V_r,V_s,T_a,T_b),c_Main_OdprodE__4(V_c,V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_s,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) )).++cnf(cls_Datatype__Universe_OdprodE_2,axiom,+ ( ~ c_in(V_c,c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | c_in(c_Pair(c_Main_OdprodE__1(V_c,V_r,V_s,T_a,T_b),c_Main_OdprodE__3(V_c,V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_r,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) )).++cnf(cls_Datatype__Universe_OdprodI_0,axiom,+ ( ~ c_in(c_Pair(V_N,V_N_H,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_s,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | ~ c_in(c_Pair(V_M,V_M_H,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_r,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | c_in(c_Pair(c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),c_Datatype__Universe_OScons(V_M_H,V_N_H,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) )).++cnf(cls_Datatype__Universe_OdsumE_0,axiom,+ ( ~ c_in(V_w,c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | V_w = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(V_r,V_w,T_a,T_b),T_a,T_b),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(V_r,V_w,T_a,T_b),T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | V_w = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(V_s,V_w,T_a,T_b),T_a,T_b),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(V_s,V_w,T_a,T_b),T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) )).++cnf(cls_Datatype__Universe_OdsumE_1,axiom,+ ( ~ c_in(V_w,c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | c_in(c_Pair(c_Main_OdsumE__3(V_s,V_w,T_a,T_b),c_Main_OdsumE__4(V_s,V_w,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_s,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | V_w = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(V_r,V_w,T_a,T_b),T_a,T_b),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(V_r,V_w,T_a,T_b),T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) )).++cnf(cls_Datatype__Universe_OdsumE_2,axiom,+ ( ~ c_in(V_w,c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | c_in(c_Pair(c_Main_OdsumE__1(V_r,V_w,T_a,T_b),c_Main_OdsumE__2(V_r,V_w,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_r,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | V_w = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(V_s,V_w,T_a,T_b),T_a,T_b),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(V_s,V_w,T_a,T_b),T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) )).++cnf(cls_Datatype__Universe_OdsumE_3,axiom,+ ( ~ c_in(V_w,c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | c_in(c_Pair(c_Main_OdsumE__1(V_r,V_w,T_a,T_b),c_Main_OdsumE__2(V_r,V_w,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_r,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | c_in(c_Pair(c_Main_OdsumE__3(V_s,V_w,T_a,T_b),c_Main_OdsumE__4(V_s,V_w,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_s,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) )).++cnf(cls_Datatype__Universe_Odsum__In0I_0,axiom,+ ( ~ c_in(c_Pair(V_M,V_M_H,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_r,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | c_in(c_Pair(c_Datatype__Universe_OIn0(V_M,T_a,T_b),c_Datatype__Universe_OIn0(V_M_H,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) )).++cnf(cls_Datatype__Universe_Odsum__In1I_0,axiom,+ ( ~ c_in(c_Pair(V_N,V_N_H,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),V_s,tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))))+ | c_in(c_Pair(c_Datatype__Universe_OIn1(V_N,T_a,T_b),c_Datatype__Universe_OIn1(V_N_H,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_prod(tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))) )).++cnf(cls_Datatype__Universe_OuprodE_0,axiom,+ ( ~ c_in(V_c,c_Datatype__Universe_Ouprod(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | V_c = c_Datatype__Universe_OScons(c_Main_OuprodE__1(V_A,V_B,V_c,T_a,T_b),c_Main_OuprodE__2(V_A,V_B,V_c,T_a,T_b),T_a,T_b) )).++cnf(cls_Datatype__Universe_OuprodE_1,axiom,+ ( ~ c_in(V_c,c_Datatype__Universe_Ouprod(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | c_in(c_Main_OuprodE__2(V_A,V_B,V_c,T_a,T_b),V_B,tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) )).++cnf(cls_Datatype__Universe_OuprodE_2,axiom,+ ( ~ c_in(V_c,c_Datatype__Universe_Ouprod(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | c_in(c_Main_OuprodE__1(V_A,V_B,V_c,T_a,T_b),V_A,tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) )).++cnf(cls_Datatype__Universe_OuprodI_0,axiom,+ ( ~ c_in(V_N,V_B,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | ~ c_in(V_M,V_A,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | c_in(c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),c_Datatype__Universe_Ouprod(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) )).++cnf(cls_Datatype__Universe_OusumE_0,axiom,+ ( ~ c_in(V_u,c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | V_u = c_Datatype__Universe_OIn0(c_Main_OusumE__1(V_A,V_u,T_a,T_b),T_a,T_b)+ | V_u = c_Datatype__Universe_OIn1(c_Main_OusumE__2(V_B,V_u,T_a,T_b),T_a,T_b) )).++cnf(cls_Datatype__Universe_OusumE_1,axiom,+ ( ~ c_in(V_u,c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | c_in(c_Main_OusumE__2(V_B,V_u,T_a,T_b),V_B,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | V_u = c_Datatype__Universe_OIn0(c_Main_OusumE__1(V_A,V_u,T_a,T_b),T_a,T_b) )).++cnf(cls_Datatype__Universe_OusumE_2,axiom,+ ( ~ c_in(V_u,c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | c_in(c_Main_OusumE__1(V_A,V_u,T_a,T_b),V_A,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | V_u = c_Datatype__Universe_OIn1(c_Main_OusumE__2(V_B,V_u,T_a,T_b),T_a,T_b) )).++cnf(cls_Datatype__Universe_OusumE_3,axiom,+ ( ~ c_in(V_u,c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | c_in(c_Main_OusumE__1(V_A,V_u,T_a,T_b),V_A,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | c_in(c_Main_OusumE__2(V_B,V_u,T_a,T_b),V_B,tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) )).++cnf(cls_Datatype__Universe_Ousum__In0I_0,axiom,+ ( ~ c_in(V_M,V_A,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | c_in(c_Datatype__Universe_OIn0(V_M,T_a,T_b),c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) )).++cnf(cls_Datatype__Universe_Ousum__In1I_0,axiom,+ ( ~ c_in(V_N,V_B,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)))+ | c_in(c_Datatype__Universe_OIn1(V_N,T_a,T_b),c_Datatype__Universe_Ousum(V_A,V_B,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) )).++cnf(cls_Divides_Odvd__0__right_0,axiom,+ ( c_Divides_Oop_Advd(V_m,c_0,tc_nat) )).++cnf(cls_Divides_Odvd__1__left_0,axiom,+ ( c_Divides_Oop_Advd(c_Suc(c_0),V_k,tc_nat) )).++cnf(cls_Divides_Odvd__triv__left_0,axiom,+ ( c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_nat),tc_nat) )).++cnf(cls_Divides_Odvd__triv__right_0,axiom,+ ( c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_nat),tc_nat) )).++cnf(cls_Divides_Omod__eq__0D__dest_0,axiom,+ ( c_Divides_Oop_Amod(V_m,V_d,tc_nat) != c_0+ | V_m = c_times(V_d,c_Main_Omod__eq__0D__dest__1(V_d,V_m),tc_nat) )).++cnf(cls_Finite__Set_OFinites_OemptyI_0,axiom,+ ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_OFinites_OinsertI_0,axiom,+ ( ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_insert(V_a,V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Int_0,axiom,+ ( ~ c_in(V_F,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_inter(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Int_1,axiom,+ ( ~ c_in(V_G,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_inter(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Union_0,axiom,+ ( ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(tc_set(T_a)))+ | c_in(c_Main_Ofinite__Union__1(V_A,T_a),V_A,tc_set(T_a))+ | c_in(c_Union(V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Union_1,axiom,+ ( ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(tc_set(T_a)))+ | ~ c_in(c_Main_Ofinite__Union__1(V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_Union(V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_GCD_Ogcd__dvd1_0,axiom,+ ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_m,tc_nat) )).++cnf(cls_GCD_Ogcd__dvd2_0,axiom,+ ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),V_n,tc_nat) )).++cnf(cls_Infinite__Set_Oatmost__one__unique_0,axiom,+ ( ~ c_Infinite__Set_Oatmost__one(V_S,T_a)+ | ~ c_in(V_y,V_S,T_a)+ | ~ c_in(V_x,V_S,T_a)+ | V_y = V_x )).++cnf(cls_IntDef_Onegative__zle_0,axiom,+ ( c_lessequals(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint) )).++cnf(cls_IntDef_Onegative__zless_0,axiom,+ ( c_less(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),c_IntDef_Oint(V_m),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdvd__0__right_0,axiom,+ ( c_Divides_Oop_Advd(V_m,c_0,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdvd__1__left_0,axiom,+ ( c_Divides_Oop_Advd(c_1,V_m,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdvd__triv__left_0,axiom,+ ( c_Divides_Oop_Advd(V_k,c_times(V_k,V_m,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdvd__triv__right_0,axiom,+ ( c_Divides_Oop_Advd(V_k,c_times(V_m,V_k,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozmod__eq__0D__dest_0,axiom,+ ( c_Divides_Oop_Amod(V_m,V_d,tc_IntDef_Oint) != c_0+ | V_m = c_times(V_d,c_Main_Ozmod__eq__0D__dest__1(V_d,V_m),tc_IntDef_Oint) )).++cnf(cls_List_Odistinct__remdups_0,axiom,+ ( c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a) )).++cnf(cls_List_Ofinite__set_0,axiom,+ ( c_in(c_List_Oset(V_xs,T_a),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_List_Oin__listsD__dest_0,axiom,+ ( ~ c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | ~ c_in(V_U,c_List_Oset(V_xs,T_a),T_a)+ | c_in(V_U,V_A,T_a) )).++cnf(cls_List_Oin__listsI_0,axiom,+ ( c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | c_in(c_Main_Oin__listsI__1(V_A,V_xs,T_a),c_List_Oset(V_xs,T_a),T_a) )).++cnf(cls_List_Oin__listsI_1,axiom,+ ( ~ c_in(c_Main_Oin__listsI__1(V_A,V_xs,T_a),V_A,T_a)+ | c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_Olength__remdups__leq_0,axiom,+ ( c_lessequals(c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) )).++cnf(cls_List_Olistrel__Cons1_0,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_OCons(V_y,V_ys,T_a),V_xs,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | V_xs = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(V_r,V_xs,V_y,V_ys,T_a),c_Main_Olistrel__Cons1__2(V_r,V_xs,V_y,V_ys,T_a),T_a) )).++cnf(cls_List_Olistrel__Cons1_1,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_OCons(V_y,V_ys,T_a),V_xs,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_in(c_Pair(V_ys,c_Main_Olistrel__Cons1__2(V_r,V_xs,V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_Olistrel__Cons1_2,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_OCons(V_y,V_ys,T_a),V_xs,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_in(c_Pair(V_y,c_Main_Olistrel__Cons1__1(V_r,V_xs,V_y,V_ys,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) )).++cnf(cls_List_Olistrel__Cons2_0,axiom,+ ( ~ c_in(c_Pair(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | V_xs = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(V_r,V_xs,V_y,V_ys,T_a),c_Main_Olistrel__Cons2__2(V_r,V_xs,V_y,V_ys,T_a),T_a) )).++cnf(cls_List_Olistrel__Cons2_1,axiom,+ ( ~ c_in(c_Pair(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_in(c_Pair(c_Main_Olistrel__Cons2__2(V_r,V_xs,V_y,V_ys,T_a),V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_Olistrel__Cons2_2,axiom,+ ( ~ c_in(c_Pair(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_in(c_Pair(c_Main_Olistrel__Cons2__1(V_r,V_xs,V_y,V_ys,T_a),V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) )).++cnf(cls_List_Olistrel__Nil1_0,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_ONil,V_xs,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Olistrel__Nil2_0,axiom,+ ( ~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_OlistsE_0,axiom,+ ( ~ c_in(c_List_Olist_OCons(V_x,V_l,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | c_in(V_l,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_OlistsE_1,axiom,+ ( ~ c_in(c_List_Olist_OCons(V_x,V_l,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | c_in(V_x,V_A,T_a) )).++cnf(cls_List_Olists_OCons_0,axiom,+ ( ~ c_in(V_a,V_A,T_a)+ | ~ c_in(V_l,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | c_in(c_List_Olist_OCons(V_a,V_l,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_Olists_ONil_0,axiom,+ ( c_in(c_List_Olist_ONil,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_Owf__lenlex_0,axiom,+ ( ~ c_Wellfounded__Recursion_Owf(V_r,T_a)+ | c_Wellfounded__Recursion_Owf(c_List_Olenlex(V_r,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_Owf__lex_0,axiom,+ ( ~ c_Wellfounded__Recursion_Owf(V_r,T_a)+ | c_Wellfounded__Recursion_Owf(c_List_Olex(V_r,T_a),tc_List_Olist(T_a)) )).++cnf(cls_Nat_Ole0_0,axiom,+ ( c_lessequals(c_0,V_n,tc_nat) )).++cnf(cls_Nat_OlessI_0,axiom,+ ( c_less(V_n,c_Suc(V_n),tc_nat) )).++cnf(cls_Nat_Oless__irrefl_0,axiom,+ ( ~ c_less(V_n,V_n,tc_nat) )).++cnf(cls_Nat_Ozero__less__Suc_0,axiom,+ ( c_less(c_0,c_Suc(V_n),tc_nat) )).++cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | c_lessequals(V_x,V_x,T_a) )).++cnf(cls_Relation_ODomainE_0,axiom,+ ( ~ c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)+ | c_in(c_Pair(V_a,c_Main_ODomainE__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b)) )).++cnf(cls_Relation_ODomainI_0,axiom,+ ( ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))+ | c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) )).++cnf(cls_Relation_OIdE_0,axiom,+ ( ~ c_in(V_p,c_Relation_OId,tc_prod(T_a,T_a))+ | V_p = c_Pair(c_Main_OIdE__1(V_p,T_a),c_Main_OIdE__1(V_p,T_a),T_a,T_a) )).++cnf(cls_Relation_OImageE_0,axiom,+ ( ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)+ | c_in(c_Main_OImageE__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b) )).++cnf(cls_Relation_OImageE_1,axiom,+ ( ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)+ | c_in(c_Pair(c_Main_OImageE__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) )).++cnf(cls_Relation_OImageI_0,axiom,+ ( ~ c_in(V_a,V_A,T_a)+ | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))+ | c_in(V_b,c_Relation_OImage(V_r,V_A,T_a,T_b),T_b) )).++cnf(cls_Relation_ORangeE_0,axiom,+ ( ~ c_in(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a)+ | c_in(c_Pair(c_Main_ORangeE__1(V_b,V_r,T_a,T_b),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) )).++cnf(cls_Relation_ORangeI_0,axiom,+ ( ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))+ | c_in(V_b,c_Relation_ORange(V_r,T_a,T_b),T_b) )).++cnf(cls_Relation_OconverseE_0,axiom,+ ( ~ c_in(V_yx,c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b))+ | c_in(c_Pair(c_Main_OconverseE__1(V_r,V_yx,T_b,T_a),c_Main_OconverseE__2(V_r,V_yx,T_b,T_a),T_b,T_a),V_r,tc_prod(T_b,T_a)) )).++cnf(cls_Relation_OconverseE_1,axiom,+ ( ~ c_in(V_yx,c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b))+ | V_yx = c_Pair(c_Main_OconverseE__2(V_r,V_yx,T_b,T_a),c_Main_OconverseE__1(V_r,V_yx,T_b,T_a),T_a,T_b) )).++cnf(cls_Relation_OdiagE_0,axiom,+ ( ~ c_in(V_c,c_Relation_Odiag(V_A,T_a),tc_prod(T_a,T_a))+ | V_c = c_Pair(c_Main_OdiagE__1(V_A,V_c,T_a),c_Main_OdiagE__1(V_A,V_c,T_a),T_a,T_a) )).++cnf(cls_Relation_OdiagE_1,axiom,+ ( ~ c_in(V_c,c_Relation_Odiag(V_A,T_a),tc_prod(T_a,T_a))+ | c_in(c_Main_OdiagE__1(V_A,V_c,T_a),V_A,T_a) )).++cnf(cls_Relation_OdiagI_0,axiom,+ ( ~ c_in(V_a,V_A,T_a)+ | c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_Odiag(V_A,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Relation_Orel__compE_0,axiom,+ ( ~ c_in(V_xz,c_Relation_Orel__comp(V_r,V_s,T_c,T_b,T_a),tc_prod(T_a,T_b))+ | c_in(c_Pair(c_Main_Orel__compE__2(V_r,V_s,V_xz,T_c,T_b,T_a),c_Main_Orel__compE__3(V_r,V_s,V_xz,T_c,T_b,T_a),T_c,T_b),V_r,tc_prod(T_c,T_b)) )).++cnf(cls_Relation_Orel__compE_1,axiom,+ ( ~ c_in(V_xz,c_Relation_Orel__comp(V_r,V_s,T_c,T_b,T_a),tc_prod(T_a,T_b))+ | c_in(c_Pair(c_Main_Orel__compE__1(V_r,V_s,V_xz,T_c,T_b,T_a),c_Main_Orel__compE__2(V_r,V_s,V_xz,T_c,T_b,T_a),T_a,T_c),V_s,tc_prod(T_a,T_c)) )).++cnf(cls_Relation_Orel__compE_2,axiom,+ ( ~ c_in(V_xz,c_Relation_Orel__comp(V_r,V_s,T_c,T_b,T_a),tc_prod(T_a,T_b))+ | V_xz = c_Pair(c_Main_Orel__compE__1(V_r,V_s,V_xz,T_c,T_b,T_a),c_Main_Orel__compE__3(V_r,V_s,V_xz,T_c,T_b,T_a),T_a,T_b) )).++cnf(cls_Relation_Orel__compI_0,axiom,+ ( ~ c_in(c_Pair(V_b,V_c,T_b,T_c),V_r,tc_prod(T_b,T_c))+ | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_s,tc_prod(T_a,T_b))+ | c_in(c_Pair(V_a,V_c,T_a,T_c),c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a),tc_prod(T_a,T_c)) )).++cnf(cls_SetInterval_Ofinite__atLeastAtMost_0,axiom,+ ( c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) )).++cnf(cls_SetInterval_Ofinite__atLeastAtMost__int_0,axiom,+ ( c_in(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) )).++cnf(cls_SetInterval_Ofinite__atLeastLessThan_0,axiom,+ ( c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) )).++cnf(cls_SetInterval_Ofinite__atLeastLessThan__int_0,axiom,+ ( c_in(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) )).++cnf(cls_SetInterval_Ofinite__atMost_0,axiom,+ ( c_in(c_SetInterval_OatMost(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) )).++cnf(cls_SetInterval_Ofinite__greaterThanAtMost_0,axiom,+ ( c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) )).++cnf(cls_SetInterval_Ofinite__greaterThanAtMost__int_0,axiom,+ ( c_in(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) )).++cnf(cls_SetInterval_Ofinite__greaterThanLessThan_0,axiom,+ ( c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) )).++cnf(cls_SetInterval_Ofinite__greaterThanLessThan__int_0,axiom,+ ( c_in(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) )).++cnf(cls_SetInterval_Ofinite__lessThan_0,axiom,+ ( c_in(c_SetInterval_OlessThan(V_k,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) )).++cnf(cls_Set_OInterI_0,axiom,+ ( c_in(V_A,c_Inter(V_C,T_a),T_a)+ | c_in(c_Main_OInterI__1(V_A,V_C,T_a),V_C,tc_set(T_a)) )).++cnf(cls_Set_OInterI_1,axiom,+ ( ~ c_in(V_A,c_Main_OInterI__1(V_A,V_C,T_a),T_a)+ | c_in(V_A,c_Inter(V_C,T_a),T_a) )).++cnf(cls_Set_OUNIV__I_0,axiom,+ ( c_in(V_x,c_UNIV,T_a) )).++cnf(cls_Set_OUnionE_0,axiom,+ ( ~ c_in(V_A,c_Union(V_C,T_a),T_a)+ | c_in(c_Main_OUnionE__1(V_A,V_C,T_a),V_C,tc_set(T_a)) )).++cnf(cls_Set_OUnionE_1,axiom,+ ( ~ c_in(V_A,c_Union(V_C,T_a),T_a)+ | c_in(V_A,c_Main_OUnionE__1(V_A,V_C,T_a),T_a) )).++cnf(cls_Set_Oempty__subsetI_0,axiom,+ ( c_lessequals(c_emptyset,V_A,tc_set(T_a)) )).++cnf(cls_Set_OpsubsetE_0,axiom,+ ( ~ c_less(V_A,V_B,tc_set(T_a))+ | ~ c_lessequals(V_B,V_A,tc_set(T_a)) )).++cnf(cls_Set_OpsubsetE_1,axiom,+ ( ~ c_less(V_A,V_B,tc_set(T_a))+ | c_lessequals(V_A,V_B,tc_set(T_a)) )).++cnf(cls_Set_OpsubsetI_0,axiom,+ ( ~ c_lessequals(V_A,V_B,tc_set(T_a))+ | c_less(V_A,V_B,tc_set(T_a))+ | V_A = V_B )).++cnf(cls_Set_OsingletonD__dest_0,axiom,+ ( ~ c_in(V_b,c_insert(V_a,c_emptyset,T_a),T_a)+ | V_b = V_a )).++cnf(cls_Set_OsingletonI_0,axiom,+ ( c_in(V_a,c_insert(V_a,c_emptyset,T_a),T_a) )).++cnf(cls_Set_Osingleton__inject__dest_0,axiom,+ ( c_insert(V_a,c_emptyset,T_a) != c_insert(V_b,c_emptyset,T_a)+ | V_a = V_b )).++cnf(cls_Set_OsubsetD_0,axiom,+ ( ~ c_in(V_c,V_A,T_a)+ | ~ c_lessequals(V_A,V_B,tc_set(T_a))+ | c_in(V_c,V_B,T_a) )).++cnf(cls_Set_OsubsetI_0,axiom,+ ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)+ | c_lessequals(V_A,V_B,tc_set(T_a)) )).++cnf(cls_Set_OsubsetI_1,axiom,+ ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)+ | c_lessequals(V_A,V_B,tc_set(T_a)) )).++cnf(cls_Set_Osubset__antisym_0,axiom,+ ( ~ c_lessequals(V_B,V_A,tc_set(T_a))+ | ~ c_lessequals(V_A,V_B,tc_set(T_a))+ | V_A = V_B )).++cnf(cls_Set_Osubset__refl_0,axiom,+ ( c_lessequals(V_A,V_A,tc_set(T_a)) )).++cnf(cls_Sum__Type_OInlI_0,axiom,+ ( ~ c_in(V_a,V_A,T_a)+ | c_in(c_Sum__Type_OInl(V_a,T_a,T_b),c_Sum__Type_OPlus(V_A,V_B,T_a,T_b),tc_sum(T_a,T_b)) )).++cnf(cls_Sum__Type_OInrI_0,axiom,+ ( ~ c_in(V_b,V_B,T_a)+ | c_in(c_Sum__Type_OInr(V_b,T_a,T_b),c_Sum__Type_OPlus(V_A,V_B,T_b,T_a),tc_sum(T_b,T_a)) )).++cnf(cls_Sum__Type_OPlusE_0,axiom,+ ( ~ c_in(V_u,c_Sum__Type_OPlus(V_A,V_B,T_a,T_b),tc_sum(T_a,T_b))+ | V_u = c_Sum__Type_OInl(c_Main_OPlusE__1(V_A,V_u,T_a,T_b),T_a,T_b)+ | V_u = c_Sum__Type_OInr(c_Main_OPlusE__2(V_B,V_u,T_b,T_a),T_b,T_a) )).++cnf(cls_Sum__Type_OPlusE_1,axiom,+ ( ~ c_in(V_u,c_Sum__Type_OPlus(V_A,V_B,T_a,T_b),tc_sum(T_a,T_b))+ | c_in(c_Main_OPlusE__2(V_B,V_u,T_b,T_a),V_B,T_b)+ | V_u = c_Sum__Type_OInl(c_Main_OPlusE__1(V_A,V_u,T_a,T_b),T_a,T_b) )).++cnf(cls_Sum__Type_OPlusE_2,axiom,+ ( ~ c_in(V_u,c_Sum__Type_OPlus(V_A,V_B,T_a,T_b),tc_sum(T_a,T_b))+ | c_in(c_Main_OPlusE__1(V_A,V_u,T_a,T_b),V_A,T_a)+ | V_u = c_Sum__Type_OInr(c_Main_OPlusE__2(V_B,V_u,T_b,T_a),T_b,T_a) )).++cnf(cls_Sum__Type_OPlusE_3,axiom,+ ( ~ c_in(V_u,c_Sum__Type_OPlus(V_A,V_B,T_a,T_b),tc_sum(T_a,T_b))+ | c_in(c_Main_OPlusE__1(V_A,V_u,T_a,T_b),V_A,T_a)+ | c_in(c_Main_OPlusE__2(V_B,V_u,T_b,T_a),V_B,T_b) )).++cnf(cls_Transitive__Closure_Or__into__rtrancl_0,axiom,+ ( ~ c_in(V_p,V_r,tc_prod(T_a,T_a))+ | c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,+ ( c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Transitive__Closure_Otrancl_Or__into__trancl_0,axiom,+ ( ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))+ | c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Transitive__Closure_Otrancl__into__rtrancl_0,axiom,+ ( ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))+ | c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Wellfounded__Recursion_Owf__empty_0,axiom,+ ( c_Wellfounded__Recursion_Owf(c_emptyset,T_a) )).++cnf(cls_Wellfounded__Relations_Otrans__less__than_0,axiom,+ ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) )).++cnf(cls_Wellfounded__Relations_Otrans__lex__prod_0,axiom,+ ( ~ c_Relation_Otrans(V_R2,T_b)+ | ~ c_Relation_Otrans(V_R1,T_a)+ | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(V_R1,V_R2,T_a,T_b),tc_prod(T_a,T_b)) )).++cnf(cls_Wellfounded__Relations_Owf__less__than_0,axiom,+ ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) )).++cnf(cls_Wellfounded__Relations_Owf__lex__prod_0,axiom,+ ( ~ c_Wellfounded__Recursion_Owf(V_rb,T_b)+ | ~ c_Wellfounded__Recursion_Owf(V_ra,T_a)+ | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(V_ra,V_rb,T_a,T_b),tc_prod(T_a,T_b)) )).++cnf(clsarity_Datatype__Ooption_0,axiom,+ ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(T_1))+ | ~ class_Finite__Set_Ofinite(T_1) )).++cnf(clsarity_IntDef__Oint_0,axiom,+ ( class_HOL_Ominus(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_1,axiom,+ ( class_HOL_Oone(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_10,axiom,+ ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_11,axiom,+ ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_12,axiom,+ ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_13,axiom,+ ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_14,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_15,axiom,+ ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_16,axiom,+ ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_17,axiom,+ ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_18,axiom,+ ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_19,axiom,+ ( class_Ring__and__Field_Oring(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_2,axiom,+ ( class_HOL_Oplus(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_20,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_21,axiom,+ ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_22,axiom,+ ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_23,axiom,+ ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_24,axiom,+ ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_25,axiom,+ ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_26,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_27,axiom,+ ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_28,axiom,+ ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_29,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_3,axiom,+ ( class_HOL_Otimes(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_30,axiom,+ ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_31,axiom,+ ( class_Orderings_Oorder(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_32,axiom,+ ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_33,axiom,+ ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_34,axiom,+ ( class_LOrder_Olorder(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_35,axiom,+ ( class_Orderings_Olinorder(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_36,axiom,+ ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_37,axiom,+ ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_38,axiom,+ ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_39,axiom,+ ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_4,axiom,+ ( class_HOL_Ozero(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_40,axiom,+ ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_41,axiom,+ ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_42,axiom,+ ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_43,axiom,+ ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_44,axiom,+ ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_45,axiom,+ ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_46,axiom,+ ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_47,axiom,+ ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_48,axiom,+ ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_49,axiom,+ ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_5,axiom,+ ( class_Orderings_Oord(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_50,axiom,+ ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_51,axiom,+ ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_52,axiom,+ ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_53,axiom,+ ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_54,axiom,+ ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_55,axiom,+ ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_56,axiom,+ ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_57,axiom,+ ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_58,axiom,+ ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_59,axiom,+ ( class_Numeral_Onumber(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_6,axiom,+ ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_60,axiom,+ ( class_Numeral_Onumber__ring(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_61,axiom,+ ( class_Divides_Odiv(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_62,axiom,+ ( class_Nat_Opower(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_63,axiom,+ ( class_Power_Orecpower(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_64,axiom,+ ( class_Parity_Oeven__odd(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_7,axiom,+ ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_8,axiom,+ ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) )).++cnf(clsarity_IntDef__Oint_9,axiom,+ ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) )).++cnf(clsarity_Product____Type__Ounit_0,axiom,+ ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).++cnf(clsarity_bool_0,axiom,+ ( class_Finite__Set_Ofinite(tc_bool) )).++cnf(clsarity_fun_0,axiom,+ ( class_Finite__Set_Ofinite(tc_fun(T_2,T_1))+ | ~ class_Finite__Set_Ofinite(T_1)+ | ~ class_Finite__Set_Ofinite(T_2) )).++cnf(clsarity_fun_1,axiom,+ ( class_Nat_Opower(tc_fun(T_2,T_1)) )).++cnf(clsarity_nat_0,axiom,+ ( class_HOL_Oone(tc_nat) )).++cnf(clsarity_nat_1,axiom,+ ( class_HOL_Ozero(tc_nat) )).++cnf(clsarity_nat_10,axiom,+ ( class_HOL_Oplus(tc_nat) )).++cnf(clsarity_nat_11,axiom,+ ( class_HOL_Otimes(tc_nat) )).++cnf(clsarity_nat_12,axiom,+ ( class_Nat_Opower(tc_nat) )).++cnf(clsarity_nat_13,axiom,+ ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) )).++cnf(clsarity_nat_14,axiom,+ ( class_OrderedGroup_Osemigroup__add(tc_nat) )).++cnf(clsarity_nat_15,axiom,+ ( class_OrderedGroup_Oab__semigroup__add(tc_nat) )).++cnf(clsarity_nat_16,axiom,+ ( class_OrderedGroup_Osemigroup__mult(tc_nat) )).++cnf(clsarity_nat_17,axiom,+ ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) )).++cnf(clsarity_nat_18,axiom,+ ( class_Ring__and__Field_Osemiring(tc_nat) )).++cnf(clsarity_nat_19,axiom,+ ( class_Ring__and__Field_Ocomm__semiring(tc_nat) )).++cnf(clsarity_nat_2,axiom,+ ( class_Orderings_Oord(tc_nat) )).++cnf(clsarity_nat_20,axiom,+ ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) )).++cnf(clsarity_nat_21,axiom,+ ( class_Ring__and__Field_Osemiring__0(tc_nat) )).++cnf(clsarity_nat_22,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) )).++cnf(clsarity_nat_23,axiom,+ ( class_OrderedGroup_Omonoid__mult(tc_nat) )).++cnf(clsarity_nat_24,axiom,+ ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) )).++cnf(clsarity_nat_25,axiom,+ ( class_Ring__and__Field_Osemiring__1(tc_nat) )).++cnf(clsarity_nat_26,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) )).++cnf(clsarity_nat_27,axiom,+ ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) )).++cnf(clsarity_nat_28,axiom,+ ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) )).++cnf(clsarity_nat_29,axiom,+ ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) )).++cnf(clsarity_nat_3,axiom,+ ( class_Orderings_Oorder(tc_nat) )).++cnf(clsarity_nat_30,axiom,+ ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) )).++cnf(clsarity_nat_31,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) )).++cnf(clsarity_nat_32,axiom,+ ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) )).++cnf(clsarity_nat_33,axiom,+ ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) )).++cnf(clsarity_nat_34,axiom,+ ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) )).++cnf(clsarity_nat_35,axiom,+ ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) )).++cnf(clsarity_nat_36,axiom,+ ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) )).++cnf(clsarity_nat_37,axiom,+ ( class_Ring__and__Field_Opordered__semiring(tc_nat) )).++cnf(clsarity_nat_38,axiom,+ ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) )).++cnf(clsarity_nat_39,axiom,+ ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) )).++cnf(clsarity_nat_4,axiom,+ ( class_LOrder_Omeet__semilorder(tc_nat) )).++cnf(clsarity_nat_40,axiom,+ ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) )).++cnf(clsarity_nat_41,axiom,+ ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) )).++cnf(clsarity_nat_42,axiom,+ ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) )).++cnf(clsarity_nat_43,axiom,+ ( class_Ring__and__Field_Oordered__semidom(tc_nat) )).++cnf(clsarity_nat_44,axiom,+ ( class_Divides_Odiv(tc_nat) )).++cnf(clsarity_nat_45,axiom,+ ( class_Power_Orecpower(tc_nat) )).++cnf(clsarity_nat_46,axiom,+ ( class_Numeral_Onumber(tc_nat) )).++cnf(clsarity_nat_47,axiom,+ ( class_Parity_Oeven__odd(tc_nat) )).++cnf(clsarity_nat_5,axiom,+ ( class_LOrder_Ojoin__semilorder(tc_nat) )).++cnf(clsarity_nat_6,axiom,+ ( class_LOrder_Olorder(tc_nat) )).++cnf(clsarity_nat_7,axiom,+ ( class_Orderings_Olinorder(tc_nat) )).++cnf(clsarity_nat_8,axiom,+ ( class_Wellfounded__Recursion_Owellorder(tc_nat) )).++cnf(clsarity_nat_9,axiom,+ ( class_HOL_Ominus(tc_nat) )).++cnf(clsarity_prod_0,axiom,+ ( class_Finite__Set_Ofinite(tc_prod(T_2,T_1))+ | ~ class_Finite__Set_Ofinite(T_1)+ | ~ class_Finite__Set_Ofinite(T_2) )).++cnf(clsarity_set_0,axiom,+ ( class_HOL_Ominus(tc_set(T_1)) )).++cnf(clsarity_set_1,axiom,+ ( class_Orderings_Oord(tc_set(T_1)) )).++cnf(clsarity_set_2,axiom,+ ( class_Orderings_Oorder(tc_set(T_1)) )).++cnf(clsarity_set_3,axiom,+ ( class_Finite__Set_Ofinite(tc_set(T_1))+ | ~ class_Finite__Set_Ofinite(T_1) )).++cnf(clsarity_set_4,axiom,+ ( class_Nat_Opower(tc_set(T_1)) )).++cnf(clsarity_sum_0,axiom,+ ( class_Finite__Set_Ofinite(tc_sum(T_2,T_1))+ | ~ class_Finite__Set_Ofinite(T_1)+ | ~ class_Finite__Set_Ofinite(T_2) )).++cnf(clsrel_LOrder_Ojoin__semilorder_0,axiom,+ ( ~ class_LOrder_Ojoin__semilorder(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,+ ( ~ class_LOrder_Ojoin__semilorder(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_LOrder_Olorder_0,axiom,+ ( ~ class_LOrder_Olorder(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_LOrder_Olorder_1,axiom,+ ( ~ class_LOrder_Olorder(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_LOrder_Olorder_2,axiom,+ ( ~ class_LOrder_Olorder(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_LOrder_Olorder_3,axiom,+ ( ~ class_LOrder_Olorder(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_LOrder_Omeet__semilorder_0,axiom,+ ( ~ class_LOrder_Omeet__semilorder(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_LOrder_Omeet__semilorder_1,axiom,+ ( ~ class_LOrder_Omeet__semilorder(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Numeral_Onumber__ring_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Numeral_Onumber__ring_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Numeral_Onumber__ring_10,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Numeral_Onumber__ring_11,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Numeral_Onumber__ring_12,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Numeral_Onumber__ring_13,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Numeral_Onumber__ring_14,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Numeral_Onumber__ring_15,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Numeral_Onumber__ring_16,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Numeral_Onumber__ring_17,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Numeral_Onumber__ring_18,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Ocomm__semiring__0__cancel(T) )).++cnf(clsrel_Numeral_Onumber__ring_19,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Ocomm__ring(T) )).++cnf(clsrel_Numeral_Onumber__ring_2,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Numeral_Onumber__ring_20,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Numeral_Onumber__ring_21,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Numeral_Onumber__ring_22,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Numeral_Onumber__ring_23,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_OrderedGroup_Ocomm__monoid__mult(T) )).++cnf(clsrel_Numeral_Onumber__ring_24,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Numeral_Onumber__ring_25,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Ocomm__semiring__1(T) )).++cnf(clsrel_Numeral_Onumber__ring_26,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Osemiring__1__cancel(T) )).++cnf(clsrel_Numeral_Onumber__ring_27,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Oring__1(T) )).++cnf(clsrel_Numeral_Onumber__ring_28,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Ocomm__semiring__1__cancel(T) )).++cnf(clsrel_Numeral_Onumber__ring_29,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Ocomm__ring__1(T) )).++cnf(clsrel_Numeral_Onumber__ring_3,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Numeral_Onumber__ring_30,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Numeral_Onumber(T) )).++cnf(clsrel_Numeral_Onumber__ring_4,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Numeral_Onumber__ring_5,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Numeral_Onumber__ring_6,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Numeral_Onumber__ring_7,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Numeral_Onumber__ring_8,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Numeral_Onumber__ring_9,axiom,+ ( ~ class_Numeral_Onumber__ring(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_OrderedGroup_Oab__group__add_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_OrderedGroup_Oab__group__add_1,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_OrderedGroup_Oab__group__add_2,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_OrderedGroup_Oab__group__add_3,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Oab__group__add_4,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Oab__group__add_5,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Oab__group__add_6,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Oab__group__add_7,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Oab__semigroup__add_0,axiom,+ ( ~ class_OrderedGroup_Oab__semigroup__add(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Oab__semigroup__add_1,axiom,+ ( ~ class_OrderedGroup_Oab__semigroup__add(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Oab__semigroup__mult_0,axiom,+ ( ~ class_OrderedGroup_Oab__semigroup__mult(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_OrderedGroup_Oab__semigroup__mult_1,axiom,+ ( ~ class_OrderedGroup_Oab__semigroup__mult(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_0,axiom,+ ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1,axiom,+ ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2,axiom,+ ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_3,axiom,+ ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Ocancel__semigroup__add_0,axiom,+ ( ~ class_OrderedGroup_Ocancel__semigroup__add(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Ocancel__semigroup__add_1,axiom,+ ( ~ class_OrderedGroup_Ocancel__semigroup__add(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Ocomm__monoid__add_0,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__add(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_OrderedGroup_Ocomm__monoid__add_1,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__add(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Ocomm__monoid__add_2,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__add(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Ocomm__monoid__add_3,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__add(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_0,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__mult(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_1,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__mult(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_2,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__mult(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_3,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__mult(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_OrderedGroup_Ocomm__monoid__mult_4,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__mult(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_OrderedGroup_Opordered__ab__group__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_10,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_11,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_12,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_13,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_14,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_15,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_16,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_17,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_2,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_3,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_4,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_5,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_6,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_7,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_8,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group_9,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_OrderedGroup_Olordered__ab__group(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_OrderedGroup_Opordered__ab__group__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_10,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_11,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_12,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_13,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_14,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_15,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_16,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_17,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_18,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_2,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_3,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_4,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_5,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_6,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_7,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_8,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_9,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_OrderedGroup_Opordered__ab__group__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_10,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_11,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_12,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_13,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_14,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_15,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_16,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_OrderedGroup_Olordered__ab__group(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_17,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_18,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_2,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_3,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_4,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_5,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_6,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_7,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_8,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__join_9,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__join(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_OrderedGroup_Opordered__ab__group__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_10,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_11,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_12,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_13,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_14,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_15,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_16,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_OrderedGroup_Olordered__ab__group(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_17,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_18,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_2,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_3,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_4,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_5,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_6,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_7,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_8,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_OrderedGroup_Olordered__ab__group__meet_9,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__meet(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_OrderedGroup_Omonoid__mult_0,axiom,+ ( ~ class_OrderedGroup_Omonoid__mult(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_OrderedGroup_Omonoid__mult_1,axiom,+ ( ~ class_OrderedGroup_Omonoid__mult(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_OrderedGroup_Omonoid__mult_2,axiom,+ ( ~ class_OrderedGroup_Omonoid__mult(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_4,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_5,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_6,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_7,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_8,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9,axiom,+ ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T)+ | class_Orderings_Olinorder(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_10,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_11,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_12,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_13,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_2,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_3,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_4,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_5,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_6,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_7,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_8,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__group__add_9,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_2,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_3,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add_4,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_4,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_5,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_6,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_7,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_8,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0,axiom,+ ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1,axiom,+ ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2,axiom,+ ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_3,axiom,+ ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_4,axiom,+ ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_5,axiom,+ ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_6,axiom,+ ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_7,axiom,+ ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_OrderedGroup_Osemigroup__add_0,axiom,+ ( ~ class_OrderedGroup_Osemigroup__add(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_OrderedGroup_Osemigroup__mult_0,axiom,+ ( ~ class_OrderedGroup_Osemigroup__mult(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Orderings_Olinorder_0,axiom,+ ( ~ class_Orderings_Olinorder(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_Orderings_Olinorder_1,axiom,+ ( ~ class_Orderings_Olinorder(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_Orderings_Olinorder_2,axiom,+ ( ~ class_Orderings_Olinorder(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_Orderings_Olinorder_3,axiom,+ ( ~ class_Orderings_Olinorder(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Orderings_Olinorder_4,axiom,+ ( ~ class_Orderings_Olinorder(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Orderings_Oorder_0,axiom,+ ( ~ class_Orderings_Oorder(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Power_Orecpower_0,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Nat_Opower(T) )).++cnf(clsrel_Power_Orecpower_1,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Power_Orecpower_10,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Power_Orecpower_11,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Power_Orecpower_12,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Power_Orecpower_13,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Power_Orecpower_14,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Power_Orecpower_15,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Power_Orecpower_16,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_OrderedGroup_Ocomm__monoid__mult(T) )).++cnf(clsrel_Power_Orecpower_17,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Power_Orecpower_18,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Ring__and__Field_Ocomm__semiring__1(T) )).++cnf(clsrel_Power_Orecpower_19,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Power_Orecpower_2,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Power_Orecpower_20,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Power_Orecpower_21,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Power_Orecpower_22,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Ring__and__Field_Osemiring__1__cancel(T) )).++cnf(clsrel_Power_Orecpower_23,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Ring__and__Field_Ocomm__semiring__0__cancel(T) )).++cnf(clsrel_Power_Orecpower_24,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Ring__and__Field_Ocomm__semiring__1__cancel(T) )).++cnf(clsrel_Power_Orecpower_3,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Power_Orecpower_4,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Power_Orecpower_5,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Power_Orecpower_6,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Power_Orecpower_7,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Power_Orecpower_8,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Power_Orecpower_9,axiom,+ ( ~ class_Power_Orecpower(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oaxclass__0__neq__1_0,axiom,+ ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oaxclass__0__neq__1_1,axiom,+ ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Oaxclass__abs__if_0,axiom,+ ( ~ class_Ring__and__Field_Oaxclass__abs__if(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Oaxclass__abs__if_1,axiom,+ ( ~ class_Ring__and__Field_Oaxclass__abs__if(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Oaxclass__abs__if_2,axiom,+ ( ~ class_Ring__and__Field_Oaxclass__abs__if(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_0,axiom,+ ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_1,axiom,+ ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_1,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_10,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_11,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_12,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_13,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_14,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_15,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_16,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_17,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_18,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_Ring__and__Field_Ocomm__semiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_2,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_3,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_4,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_5,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_6,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_7,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_8,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring_9,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Ocomm__ring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_1,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_10,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_11,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_12,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_13,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_14,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_15,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_16,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_17,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_18,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_19,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_2,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_20,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Ocomm__semiring__1(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_21,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_OrderedGroup_Ocomm__monoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_22,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_23,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_24,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_25,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_26,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Oring__1(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_27,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Osemiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_28,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Ocomm__semiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_3,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_4,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Ocomm__semiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_5,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_6,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_7,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_8,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__ring__1_9,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring_1,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring_2,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring_3,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring_4,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring_5,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring_6,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_1,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_10,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_2,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_3,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_4,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_5,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_6,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_7,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_8,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_9,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_1,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_10,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_11,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_12,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_13,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_14,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_2,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_3,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_4,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_5,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_6,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_7,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_8,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_9,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_1,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_10,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_11,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_12,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_13,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_14,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_OrderedGroup_Ocomm__monoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_15,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_16,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_2,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_3,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_4,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_5,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_6,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_7,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_8,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1_9,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_Ring__and__Field_Ocomm__semiring__1(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_1,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_10,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_11,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_12,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_13,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_14,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_15,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_16,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_17,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_18,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_19,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_2,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_20,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_Ring__and__Field_Osemiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_21,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_22,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_Ring__and__Field_Ocomm__semiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_3,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_OrderedGroup_Ocomm__monoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_4,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_5,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_6,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_7,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_8,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_9,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Odivision__by__zero_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Odivision__by__zero_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T)+ | class_HOL_Oinverse(T) )).++cnf(clsrel_Ring__and__Field_Ofield_0,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Ocomm__ring__1(T) )).++cnf(clsrel_Ring__and__Field_Ofield_1,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Ocomm__ring(T) )).++cnf(clsrel_Ring__and__Field_Ofield_10,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Ring__and__Field_Ofield_11,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Ring__and__Field_Ofield_12,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Ofield_13,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Ofield_14,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Ocomm__semiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ofield_15,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ofield_16,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Ofield_17,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ofield_18,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ofield_19,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Ofield_2,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Oring__1(T) )).++cnf(clsrel_Ring__and__Field_Ofield_20,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Ofield_21,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Ofield_22,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Ofield_23,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Ofield_24,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Ofield_25,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ofield_26,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ofield_27,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ofield_28,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Ofield_29,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Ofield_3,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Ring__and__Field_Ofield_30,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_HOL_Oinverse(T) )).++cnf(clsrel_Ring__and__Field_Ofield_31,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Oidom(T) )).++cnf(clsrel_Ring__and__Field_Ofield_32,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Oaxclass__no__zero__divisors(T) )).++cnf(clsrel_Ring__and__Field_Ofield_4,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Ofield_5,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Ofield_6,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Ocomm__semiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Ofield_7,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Ocomm__semiring__1(T) )).++cnf(clsrel_Ring__and__Field_Ofield_8,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_OrderedGroup_Ocomm__monoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Ofield_9,axiom,+ ( ~ class_Ring__and__Field_Ofield(T)+ | class_Ring__and__Field_Osemiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oidom_0,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Ocomm__ring__1(T) )).++cnf(clsrel_Ring__and__Field_Oidom_1,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Ocomm__ring(T) )).++cnf(clsrel_Ring__and__Field_Oidom_10,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Ring__and__Field_Oidom_11,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Ring__and__Field_Oidom_12,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Oidom_13,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Oidom_14,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Ocomm__semiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oidom_15,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oidom_16,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oidom_17,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oidom_18,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oidom_19,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oidom_2,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Oring__1(T) )).++cnf(clsrel_Ring__and__Field_Oidom_20,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Oidom_21,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oidom_22,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Oidom_23,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Oidom_24,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oidom_25,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oidom_26,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oidom_27,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oidom_28,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oidom_29,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Oidom_3,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Ring__and__Field_Oidom_30,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Oaxclass__no__zero__divisors(T) )).++cnf(clsrel_Ring__and__Field_Oidom_4,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Oidom_5,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Oidom_6,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Ocomm__semiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oidom_7,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Ocomm__semiring__1(T) )).++cnf(clsrel_Ring__and__Field_Oidom_8,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_OrderedGroup_Ocomm__monoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Oidom_9,axiom,+ ( ~ class_Ring__and__Field_Oidom(T)+ | class_Ring__and__Field_Osemiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_0,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_Ring__and__Field_Opordered__ring(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_1,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_10,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_11,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_12,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_13,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_14,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_15,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_16,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_17,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_18,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_19,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_2,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Opordered__ab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_20,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_21,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_22,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_23,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_24,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Olordered__ab__group__abs(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_25,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Olordered__ab__group(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_26,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_27,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_28,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_29,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Olordered__ab__group__meet(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_3,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_30,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Olordered__ab__group__join(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_4,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_5,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_6,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_7,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_Ring__and__Field_Opordered__cancel__semiring(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_8,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Olordered__ring_9,axiom,+ ( ~ class_Ring__and__Field_Olordered__ring(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_10,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_11,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Orderings_Olinorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_2,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_22,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_23,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Ring__and__Field_Oordered__semiring__strict(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Ring__and__Field_Opordered__cancel__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_26,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Ring__and__Field_Opordered__cancel__comm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Ring__and__Field_Opordered__comm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_3,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_4,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_5,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_6,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_7,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_8,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_9,axiom,+ ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Ofield(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_HOL_Oinverse(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_10,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Ocomm__semiring__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_11,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Ocomm__monoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_12,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Osemiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_13,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_14,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_15,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_16,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_17,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Ocomm__semiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_18,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_19,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_2,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Oidom(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_20,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_21,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_22,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_23,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_24,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_25,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_26,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_27,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_28,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_29,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_3,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Ocomm__ring__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_30,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_31,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Oaxclass__no__zero__divisors(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_32,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_33,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_34,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Oordered__idom(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_35,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Oordered__comm__semiring__strict(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_36,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Opordered__cancel__comm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_37,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Opordered__comm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_38,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Oordered__ring__strict(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_39,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Oordered__semiring__strict(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_4,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Ocomm__ring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_40,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_41,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Orderings_Olinorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_42,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Oaxclass__abs__if(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_43,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Olordered__ring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_44,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Opordered__ring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_45,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Opordered__cancel__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_46,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_47,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Olordered__ab__group__abs(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_48,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Olordered__ab__group__meet(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_49,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Olordered__ab__group__join(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_5,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Oring__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_50,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Olordered__ab__group(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_51,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_52,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_53,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_54,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Opordered__ab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_55,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_56,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_57,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_58,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_59,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_6,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_60,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Oordered__semidom(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_7,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_8,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Oordered__field_9,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T)+ | class_Ring__and__Field_Ocomm__semiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Ocomm__ring__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Ocomm__ring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_10,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_11,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_12,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_13,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_14,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Ocomm__semiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_15,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_16,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_17,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_18,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_19,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_2,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Oring__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_20,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_21,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_22,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_24,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_25,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_26,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_27,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_28,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_29,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_3,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_30,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Oordered__comm__semiring__strict(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_31,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Oordered__semiring__strict(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_32,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Orderings_Olinorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_34,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_35,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_36,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_37,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_38,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_39,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Opordered__cancel__comm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Opordered__cancel__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_41,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Opordered__comm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_43,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_45,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_46,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Oaxclass__abs__if(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_47,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Oordered__ring__strict(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_48,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Olordered__ring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_49,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Opordered__ring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_5,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Olordered__ab__group__abs(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_51,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Olordered__ab__group__meet(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_52,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Olordered__ab__group__join(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_53,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Olordered__ab__group(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Opordered__ab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_55,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Oordered__semidom(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_56,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Oaxclass__no__zero__divisors(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_57,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Oidom(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_6,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Ocomm__semiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_7,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Ocomm__semiring__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_8,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_OrderedGroup_Ocomm__monoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__idom_9,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T)+ | class_Ring__and__Field_Osemiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_10,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_11,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_12,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_13,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_14,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_15,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Ring__and__Field_Oordered__semiring__strict(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_16,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_17,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Orderings_Olinorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_18,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_19,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_2,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_20,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_21,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_22,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_23,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Ring__and__Field_Opordered__cancel__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_24,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_25,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_26,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_27,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_28,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Ring__and__Field_Oaxclass__abs__if(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_29,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Olordered__ab__group(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_3,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_30,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Opordered__ab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_31,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Ring__and__Field_Olordered__ring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_32,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Ring__and__Field_Opordered__ring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_33,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Olordered__ab__group__abs(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_34,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Olordered__ab__group__meet(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_35,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Olordered__ab__group__join(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_36,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Ring__and__Field_Oaxclass__no__zero__divisors(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_4,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_5,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_6,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_7,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_8,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__ring__strict_9,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Ocomm__semiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Ocomm__semiring__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_10,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_11,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_12,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_13,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_14,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_15,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_16,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_17,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_18,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_19,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_2,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Ocomm__monoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_20,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_21,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_22,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_23,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_24,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Oordered__comm__semiring__strict(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_25,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Oordered__semiring__strict(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_26,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_27,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Orderings_Olinorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_28,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_29,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_3,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Osemiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_30,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_31,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_32,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_33,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Opordered__cancel__comm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_34,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Opordered__cancel__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_35,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Opordered__comm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_36,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_37,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_38,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_39,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_4,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_5,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_6,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_7,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_8,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Ocomm__semiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semidom_9,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_10,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_Orderings_Olinorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_11,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_12,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_13,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_14,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_15,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_16,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_17,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_18,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_19,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_2,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_20,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_21,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_22,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_Ring__and__Field_Opordered__cancel__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_23,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_3,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_4,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_5,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_6,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_7,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_8,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oordered__semiring__strict_9,axiom,+ ( ~ class_Ring__and__Field_Oordered__semiring__strict(T)+ | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_Ring__and__Field_Opordered__comm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_1,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_11,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_12,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_13,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_16,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_17,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_Ring__and__Field_Opordered__cancel__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_2,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_20,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_3,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_4,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_5,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_6,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_7,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_8,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_9,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_0,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_1,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_10,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_11,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_12,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_13,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_14,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_15,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_2,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_3,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_4,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_5,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_6,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_7,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_8,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__cancel__semiring_9,axiom,+ ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_0,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Ring__and__Field_Ocomm__ring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_1,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_10,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_11,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_12,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_13,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_14,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_15,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_16,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_17,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_18,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_19,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_2,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_20,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Ring__and__Field_Opordered__comm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_21,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_22,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_23,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_24,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_3,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_4,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Ring__and__Field_Ocomm__semiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_5,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_6,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_7,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_8,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__ring_9,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__ring(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_0,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_Ring__and__Field_Ocomm__semiring__0(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_1,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_Ring__and__Field_Ocomm__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_10,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_11,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_12,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_13,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_14,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_15,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_2,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_OrderedGroup_Oab__semigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_3,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_4,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_5,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_6,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_7,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_8,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__comm__semiring_9,axiom,+ ( ~ class_Ring__and__Field_Opordered__comm__semiring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_0,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_1,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_10,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_11,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_12,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_13,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_14,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_15,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_Ring__and__Field_Opordered__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_16,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_17,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_18,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_19,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_OrderedGroup_Opordered__ab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_2,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_20,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_21,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_22,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_Ring__and__Field_Opordered__cancel__semiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_3,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_4,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_5,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_6,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_7,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_8,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Opordered__ring_9,axiom,+ ( ~ class_Ring__and__Field_Opordered__ring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_0,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_1,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_10,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_11,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_2,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_3,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_4,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_5,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_6,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_7,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_8,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Opordered__semiring_9,axiom,+ ( ~ class_Ring__and__Field_Opordered__semiring(T)+ | class_OrderedGroup_Opordered__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oring_0,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Oring_1,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oring_10,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oring_11,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oring_12,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oring_13,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oring_2,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oring_3,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Oring_4,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oring_5,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Oring_6,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Oring_7,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Oring_8,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Oring_9,axiom,+ ( ~ class_Ring__and__Field_Oring(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_0,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_Ring__and__Field_Oring(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_1,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_OrderedGroup_Oab__group__add(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_10,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_11,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_12,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_13,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_14,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_15,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_16,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_17,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_18,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_19,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_Ring__and__Field_Osemiring__1__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_2,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_HOL_Ominus(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_3,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_4,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_5,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_6,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_7,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_8,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Oring__1_9,axiom,+ ( ~ class_Ring__and__Field_Oring__1(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Osemiring_0,axiom,+ ( ~ class_Ring__and__Field_Osemiring(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring_1,axiom,+ ( ~ class_Ring__and__Field_Osemiring(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring_2,axiom,+ ( ~ class_Ring__and__Field_Osemiring(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Osemiring_3,axiom,+ ( ~ class_Ring__and__Field_Osemiring(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Osemiring_4,axiom,+ ( ~ class_Ring__and__Field_Osemiring(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0_0,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0_1,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0_2,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0_3,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0_4,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0_5,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0_6,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0_7,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_0,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_1,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_10,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_2,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_3,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_4,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_5,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_6,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_7,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_8,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__0__cancel_9,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_0,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_1,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_10,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_11,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_2,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_3,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_4,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_5,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_6,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_7,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_8,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1_9,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_0,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_Ring__and__Field_Osemiring__1(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_1,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_Ring__and__Field_Oaxclass__0__neq__1(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_10,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_HOL_Oone(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_11,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_OrderedGroup_Osemigroup__mult(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_12,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_HOL_Otimes(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_13,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_OrderedGroup_Ocancel__ab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_14,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_OrderedGroup_Ocancel__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_15,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_Ring__and__Field_Osemiring__0__cancel(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_2,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_Ring__and__Field_Osemiring__0(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_3,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_Ring__and__Field_Osemiring(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_4,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_OrderedGroup_Ocomm__monoid__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_5,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_HOL_Ozero(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_6,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_OrderedGroup_Oab__semigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_7,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_OrderedGroup_Osemigroup__add(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_8,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_HOL_Oplus(T) )).++cnf(clsrel_Ring__and__Field_Osemiring__1__cancel_9,axiom,+ ( ~ class_Ring__and__Field_Osemiring__1__cancel(T)+ | class_OrderedGroup_Omonoid__mult(T) )).++cnf(clsrel_Wellfounded__Recursion_Owellorder_0,axiom,+ ( ~ class_Wellfounded__Recursion_Owellorder(T)+ | class_Orderings_Oord(T) )).++cnf(clsrel_Wellfounded__Recursion_Owellorder_1,axiom,+ ( ~ class_Wellfounded__Recursion_Owellorder(T)+ | class_Orderings_Oorder(T) )).++cnf(clsrel_Wellfounded__Recursion_Owellorder_2,axiom,+ ( ~ class_Wellfounded__Recursion_Owellorder(T)+ | class_LOrder_Omeet__semilorder(T) )).++cnf(clsrel_Wellfounded__Recursion_Owellorder_3,axiom,+ ( ~ class_Wellfounded__Recursion_Owellorder(T)+ | class_LOrder_Ojoin__semilorder(T) )).++cnf(clsrel_Wellfounded__Recursion_Owellorder_4,axiom,+ ( ~ class_Wellfounded__Recursion_Owellorder(T)+ | class_LOrder_Olorder(T) )).++cnf(clsrel_Wellfounded__Recursion_Owellorder_5,axiom,+ ( ~ class_Wellfounded__Recursion_Owellorder(T)+ | class_Orderings_Olinorder(T) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/MSC001-1.ax view
@@ -0,0 +1,6962 @@+%------------------------------------------------------------------------------+% File : MSC001-1 : TPTP v7.2.0. Released v3.2.0.+% Domain : Miscellaneous+% Axioms : Sets, numbers, lists, etc, that make up the Isabelle/HOL library+% Version : [Pau06] axioms.+% English : The files MSC001-[012].ax .ax are really about everything: sets,+% numbers, lists and all the other things that make up the basic+% Isabelle/HOL library. Also, many of the axioms in MSC001-0.ax+% describe the Isabelle/HOL type class hierarchy.++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : simp.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 1568 ( 231 non-Horn; 485 unit; 853 RR)+% Number of atoms : 3799 (1241 equality)+% Maximal clause size : 7 ( 2 average)+% Number of predicates : 42 ( 0 propositional; 1-3 arity)+% Number of functors : 193 ( 43 constant; 0-18 arity)+% Number of variables : 4320 (1087 singleton)+% Maximal term depth : 8 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax+%------------------------------------------------------------------------------+cnf(cls_Binomial_Obinomial__0__Suc_0,axiom,+ ( c_Binomial_Obinomial(c_0,c_Suc(V_k)) = c_0 )).++cnf(cls_Binomial_Obinomial__1_0,axiom,+ ( c_Binomial_Obinomial(V_y,c_Suc(c_0)) = V_y )).++cnf(cls_Binomial_Obinomial__Suc__Suc_0,axiom,+ ( c_Binomial_Obinomial(c_Suc(V_n),c_Suc(V_k)) = c_plus(c_Binomial_Obinomial(V_n,V_k),c_Binomial_Obinomial(V_n,c_Suc(V_k)),tc_nat) )).++cnf(cls_Binomial_Obinomial__Suc__n_0,axiom,+ ( c_Binomial_Obinomial(c_Suc(V_n),V_n) = c_Suc(V_n) )).++cnf(cls_Binomial_Obinomial__n__0_0,axiom,+ ( c_Binomial_Obinomial(V_n,c_0) = c_1 )).++cnf(cls_Binomial_Obinomial__n__n_0,axiom,+ ( c_Binomial_Obinomial(V_n,V_n) = c_1 )).++cnf(cls_Datatype_Oelem__o2s_0,axiom,+ ( ~ c_in(V_x,c_Datatype_Oo2s(V_xo,T_a),T_a)+ | V_xo = c_Datatype_Ooption_OSome(V_x,T_a) )).++cnf(cls_Datatype_Oelem__o2s_1,axiom,+ ( c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a) )).++cnf(cls_Datatype_Onot__None__eq_0,axiom,+ ( V_x = c_Datatype_Ooption_ONone+ | V_x = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(V_x,T_a),T_a) )).++cnf(cls_Datatype_Onot__Some__eq_0,axiom,+ ( V_x = c_Datatype_Ooption_ONone+ | V_x = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(V_x,T_a),T_a) )).++cnf(cls_Datatype_Oo2s_Osimps__2_0,axiom,+ ( c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a__1),T_a__1) = c_insert(V_x,c_emptyset,T_a__1) )).++cnf(cls_Datatype_Oo2s__empty__eq_0,axiom,+ ( c_Datatype_Oo2s(V_xo,T_a) != c_emptyset+ | V_xo = c_Datatype_Ooption_ONone )).++cnf(cls_Datatype_Oo2s__empty__eq_1,axiom,+ ( c_Datatype_Oo2s(c_Datatype_Ooption_ONone,T_a) = c_emptyset )).++cnf(cls_Datatype_Ooption_Odistinct__1_0,axiom,+ ( c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a) )).++cnf(cls_Datatype_Ooption_Odistinct__2_0,axiom,+ ( c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone )).++cnf(cls_Datatype_Ooption_Oinject_0,axiom,+ ( c_Datatype_Ooption_OSome(V_a,T_a) != c_Datatype_Ooption_OSome(V_a_H,T_a)+ | V_a = V_a_H )).++cnf(cls_Datatype_Ooption_Osize__1_0,axiom,+ ( c_Nat_Osize(c_Datatype_Ooption_ONone,tc_Datatype_Ooption(T_a)) = c_0 )).++cnf(cls_Datatype_Ooption_Osize__2_0,axiom,+ ( c_Nat_Osize(c_Datatype_Ooption_OSome(V_a,T_a),tc_Datatype_Ooption(T_a)) = c_0 )).++cnf(cls_Datatype_Oprod_Osize_0,axiom,+ ( c_Nat_Osize(c_Pair(V_a,V_b,T_a,T_b),tc_prod(T_a,T_b)) = c_0 )).++cnf(cls_Datatype_Osum_Osize__1_0,axiom,+ ( c_Nat_Osize(c_Sum__Type_OInl(V_a,T_a,T_b),tc_sum(T_a,T_b)) = c_0 )).++cnf(cls_Datatype_Osum_Osize__2_0,axiom,+ ( c_Nat_Osize(c_Sum__Type_OInr(V_b,T_b,T_a),tc_sum(T_a,T_b)) = c_0 )).++cnf(cls_Datatype_Othe_Osimps_0,axiom,+ ( c_Datatype_Othe(c_Datatype_Ooption_OSome(V_y,T_a),T_a) = V_y )).++cnf(cls_Datatype_Ounit_Ocases_0,axiom,+ ( c_Datatype_Ounit_Ounit__case(V_y,c_Product__Type_OUnity,T_a) = V_y )).++cnf(cls_Datatype_Ounit_Orecs_0,axiom,+ ( c_Datatype_Ounit_Ounit__rec(V_y,c_Product__Type_OUnity,T_a) = V_y )).++cnf(cls_Datatype_Ounit_Osize_0,axiom,+ ( c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_0 )).++cnf(cls_Datatype__Universe_OAtom__Atom__eq_0,axiom,+ ( c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OAtom(V_b,T_a,T_b)+ | V_a = V_b )).++cnf(cls_Datatype__Universe_OAtom__not__Scons_0,axiom,+ ( c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) )).++cnf(cls_Datatype__Universe_ODomain__dprod_0,axiom,+ ( c_Relation_ODomain(c_Datatype__Universe_Odprod(V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) = c_Datatype__Universe_Ouprod(c_Relation_ODomain(V_r,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Relation_ODomain(V_s,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),T_a,T_b) )).++cnf(cls_Datatype__Universe_ODomain__dsum_0,axiom,+ ( c_Relation_ODomain(c_Datatype__Universe_Odsum(V_r,V_s,T_a,T_b),tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))) = c_Datatype__Universe_Ousum(c_Relation_ODomain(V_r,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),c_Relation_ODomain(V_s,tc_set(tc_Datatype__Universe_Onode(T_a,T_b)),tc_set(tc_Datatype__Universe_Onode(T_a,T_b))),T_a,T_b) )).++cnf(cls_Datatype__Universe_OIn0__eq_0,axiom,+ ( c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn0(V_N,T_a,T_b)+ | V_M = V_N )).++cnf(cls_Datatype__Universe_OIn0__not__In1_0,axiom,+ ( c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b) )).++cnf(cls_Datatype__Universe_OIn1__eq_0,axiom,+ ( c_Datatype__Universe_OIn1(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b)+ | V_M = V_N )).++cnf(cls_Datatype__Universe_OIn1__not__In0_0,axiom,+ ( c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b) )).++cnf(cls_Datatype__Universe_OLeaf__not__Numb_0,axiom,+ ( c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b) )).++cnf(cls_Datatype__Universe_OLeaf__not__Scons_0,axiom,+ ( c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) )).++cnf(cls_Datatype__Universe_ONumb__not__Leaf_0,axiom,+ ( c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b) )).++cnf(cls_Datatype__Universe_ONumb__not__Scons_0,axiom,+ ( c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) )).++cnf(cls_Datatype__Universe_OScons__Scons__eq_0,axiom,+ ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OScons(V_M_H,V_N_H,T_a,T_b)+ | V_M = V_M_H )).++cnf(cls_Datatype__Universe_OScons__Scons__eq_1,axiom,+ ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OScons(V_M_H,V_N_H,T_a,T_b)+ | V_N = V_N_H )).++cnf(cls_Datatype__Universe_OScons__not__Atom_0,axiom,+ ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b) )).++cnf(cls_Datatype__Universe_OScons__not__Leaf_0,axiom,+ ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b) )).++cnf(cls_Datatype__Universe_OScons__not__Numb_0,axiom,+ ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b) )).++cnf(cls_Datatype__Universe_Ontrunc__0_0,axiom,+ ( c_Datatype__Universe_Ontrunc(c_0,V_M,T_a,T_b) = c_emptyset )).++cnf(cls_Datatype__Universe_Ontrunc__Atom_0,axiom,+ ( c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OAtom(V_a,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OAtom(V_a,T_a,T_b) )).++cnf(cls_Datatype__Universe_Ontrunc__In0_0,axiom,+ ( c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(V_k)),c_Datatype__Universe_OIn0(V_M,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OIn0(c_Datatype__Universe_Ontrunc(c_Suc(V_k),V_M,T_a,T_b),T_a,T_b) )).++cnf(cls_Datatype__Universe_Ontrunc__In1_0,axiom,+ ( c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(V_k)),c_Datatype__Universe_OIn1(V_M,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OIn1(c_Datatype__Universe_Ontrunc(c_Suc(V_k),V_M,T_a,T_b),T_a,T_b) )).++cnf(cls_Datatype__Universe_Ontrunc__Leaf_0,axiom,+ ( c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OLeaf(V_a,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OLeaf(V_a,T_a,T_b) )).++cnf(cls_Datatype__Universe_Ontrunc__Numb_0,axiom,+ ( c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_ONumb(V_i,T_a,T_b),T_a,T_b) = c_Datatype__Universe_ONumb(V_i,T_a,T_b) )).++cnf(cls_Datatype__Universe_Ontrunc__Scons_0,axiom,+ ( c_Datatype__Universe_Ontrunc(c_Suc(V_k),c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),T_a,T_b) = c_Datatype__Universe_OScons(c_Datatype__Universe_Ontrunc(V_k,V_M,T_a,T_b),c_Datatype__Universe_Ontrunc(V_k,V_N,T_a,T_b),T_a,T_b) )).++cnf(cls_Datatype__Universe_Ontrunc__one__In0_0,axiom,+ ( c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn0(V_M,T_a,T_b),T_a,T_b) = c_emptyset )).++cnf(cls_Datatype__Universe_Ontrunc__one__In1_0,axiom,+ ( c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn1(V_M,T_a,T_b),T_a,T_b) = c_emptyset )).++cnf(cls_Divides_ODIVISION__BY__ZERO__DIV_0,axiom,+ ( c_div(V_a,c_0,tc_nat) = c_0 )).++cnf(cls_Divides_ODIVISION__BY__ZERO__MOD_0,axiom,+ ( c_Divides_Oop_Amod(V_y,c_0,tc_nat) = V_y )).++cnf(cls_Divides_Odiv__0_0,axiom,+ ( c_div(c_0,V_m,tc_nat) = c_0 )).++cnf(cls_Divides_Odiv__1_0,axiom,+ ( c_div(V_y,c_Suc(c_0),tc_nat) = V_y )).++cnf(cls_Divides_Odiv__le__dividend_0,axiom,+ ( c_lessequals(c_div(V_m,V_n,tc_nat),V_m,tc_nat) )).++cnf(cls_Divides_Odiv__less_0,axiom,+ ( ~ c_less(V_m,V_n,tc_nat)+ | c_div(V_m,V_n,tc_nat) = c_0 )).++cnf(cls_Divides_Odiv__less__dividend_0,axiom,+ ( ~ c_less(c_0,V_m,tc_nat)+ | ~ c_less(c_1,V_n,tc_nat)+ | c_less(c_div(V_m,V_n,tc_nat),V_m,tc_nat) )).++cnf(cls_Divides_Odiv__mult__mult1_0,axiom,+ ( ~ c_less(c_0,V_c,tc_nat)+ | c_div(c_times(V_c,V_a,tc_nat),c_times(V_c,V_b,tc_nat),tc_nat) = c_div(V_a,V_b,tc_nat) )).++cnf(cls_Divides_Odiv__mult__mult2_0,axiom,+ ( ~ c_less(c_0,V_c,tc_nat)+ | c_div(c_times(V_a,V_c,tc_nat),c_times(V_b,V_c,tc_nat),tc_nat) = c_div(V_a,V_b,tc_nat) )).++cnf(cls_Divides_Odiv__mult__self1_0,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | c_div(c_plus(V_m,c_times(V_k,V_n,tc_nat),tc_nat),V_n,tc_nat) = c_plus(V_k,c_div(V_m,V_n,tc_nat),tc_nat) )).++cnf(cls_Divides_Odiv__mult__self1__is__m_0,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | c_div(c_times(V_n,V_y,tc_nat),V_n,tc_nat) = V_y )).++cnf(cls_Divides_Odiv__mult__self2_0,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | c_div(c_plus(V_m,c_times(V_n,V_k,tc_nat),tc_nat),V_n,tc_nat) = c_plus(V_k,c_div(V_m,V_n,tc_nat),tc_nat) )).++cnf(cls_Divides_Odiv__mult__self__is__m_0,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | c_div(c_times(V_y,V_n,tc_nat),V_n,tc_nat) = V_y )).++cnf(cls_Divides_Odiv__self_0,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | c_div(V_n,V_n,tc_nat) = c_1 )).++cnf(cls_Divides_Odvd__0__left__iff_0,axiom,+ ( ~ c_Divides_Oop_Advd(c_0,V_m,tc_nat)+ | V_m = c_0 )).++cnf(cls_Divides_Odvd__0__left__iff_1,axiom,+ ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) )).++cnf(cls_Divides_Odvd__1__iff__1_0,axiom,+ ( ~ c_Divides_Oop_Advd(V_m,c_Suc(c_0),tc_nat)+ | V_m = c_Suc(c_0) )).++cnf(cls_Divides_Odvd__1__iff__1_1,axiom,+ ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) )).++cnf(cls_Divides_Odvd__refl_0,axiom,+ ( c_Divides_Oop_Advd(V_m,V_m,tc_nat) )).++cnf(cls_Divides_Omod__0_0,axiom,+ ( c_Divides_Oop_Amod(c_0,V_m,tc_nat) = c_0 )).++cnf(cls_Divides_Omod__1_0,axiom,+ ( c_Divides_Oop_Amod(V_m,c_Suc(c_0),tc_nat) = c_0 )).++cnf(cls_Divides_Omod__add__self1_0,axiom,+ ( c_Divides_Oop_Amod(c_plus(V_n,V_m,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat) )).++cnf(cls_Divides_Omod__add__self2_0,axiom,+ ( c_Divides_Oop_Amod(c_plus(V_m,V_n,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat) )).++cnf(cls_Divides_Omod__le__divisor_0,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | c_lessequals(c_Divides_Oop_Amod(V_m,V_n,tc_nat),V_n,tc_nat) )).++cnf(cls_Divides_Omod__less_0,axiom,+ ( ~ c_less(V_y,V_n,tc_nat)+ | c_Divides_Oop_Amod(V_y,V_n,tc_nat) = V_y )).++cnf(cls_Divides_Omod__less__divisor_0,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | c_less(c_Divides_Oop_Amod(V_m,V_n,tc_nat),V_n,tc_nat) )).++cnf(cls_Divides_Omod__mult__self1_0,axiom,+ ( c_Divides_Oop_Amod(c_plus(V_m,c_times(V_k,V_n,tc_nat),tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat) )).++cnf(cls_Divides_Omod__mult__self1__is__0_0,axiom,+ ( c_Divides_Oop_Amod(c_times(V_n,V_m,tc_nat),V_n,tc_nat) = c_0 )).++cnf(cls_Divides_Omod__mult__self2_0,axiom,+ ( c_Divides_Oop_Amod(c_plus(V_m,c_times(V_n,V_k,tc_nat),tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat) )).++cnf(cls_Divides_Omod__mult__self__is__0_0,axiom,+ ( c_Divides_Oop_Amod(c_times(V_m,V_n,tc_nat),V_n,tc_nat) = c_0 )).++cnf(cls_Divides_Omod__self_0,axiom,+ ( c_Divides_Oop_Amod(V_n,V_n,tc_nat) = c_0 )).++cnf(cls_Divides_Onat__mod__div__trivial_0,axiom,+ ( c_div(c_Divides_Oop_Amod(V_m,V_n,tc_nat),V_n,tc_nat) = c_0 )).++cnf(cls_Divides_Onat__mod__mod__trivial_0,axiom,+ ( c_Divides_Oop_Amod(c_Divides_Oop_Amod(V_m,V_n,tc_nat),V_n,tc_nat) = c_Divides_Oop_Amod(V_m,V_n,tc_nat) )).++cnf(cls_Equiv__Relations_Oquotient__is__empty2_0,axiom,+ ( c_emptyset != c_Equiv__Relations_Oquotient(V_A,V_r,T_a)+ | V_A = c_emptyset )).++cnf(cls_Equiv__Relations_Oquotient__is__empty2_1,axiom,+ ( c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) )).++cnf(cls_Equiv__Relations_Oquotient__is__empty_0,axiom,+ ( c_Equiv__Relations_Oquotient(V_A,V_r,T_a) != c_emptyset+ | V_A = c_emptyset )).++cnf(cls_Equiv__Relations_Oquotient__is__empty_1,axiom,+ ( c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) = c_emptyset )).++cnf(cls_Extraction_Osumbool_Ocases__1_0,axiom,+ ( c_Extraction_Osumbool_Osumbool__case(V_y,V_f2,c_Extraction_Osumbool_OLeft,T_a) = V_y )).++cnf(cls_Extraction_Osumbool_Ocases__2_0,axiom,+ ( c_Extraction_Osumbool_Osumbool__case(V_f1,V_y,c_Extraction_Osumbool_ORight,T_a) = V_y )).++cnf(cls_Extraction_Osumbool_Odistinct__1_0,axiom,+ ( c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight )).++cnf(cls_Extraction_Osumbool_Odistinct__2_0,axiom,+ ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft )).++cnf(cls_Extraction_Osumbool_Orecs__1_0,axiom,+ ( c_Extraction_Osumbool_Osumbool__rec(V_y,V_f2,c_Extraction_Osumbool_OLeft,T_a) = V_y )).++cnf(cls_Extraction_Osumbool_Orecs__2_0,axiom,+ ( c_Extraction_Osumbool_Osumbool__rec(V_f1,V_y,c_Extraction_Osumbool_ORight,T_a) = V_y )).++cnf(cls_Extraction_Osumbool_Osize__1_0,axiom,+ ( c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) = c_0 )).++cnf(cls_Extraction_Osumbool_Osize__2_0,axiom,+ ( c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) = c_0 )).++cnf(cls_Finite__Set_OMax__ge_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_x,V_A,T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_lessequals(V_x,c_Finite__Set_OMax(V_A,T_a),T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMax__in_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_Finite__Set_OMax(V_A,T_a),V_A,T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMax__insert_0,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_b))+ | V_A = c_emptyset+ | c_Finite__Set_OMax(c_insert(V_x,V_A,T_b),T_b) = c_Orderings_Omax(V_x,c_Finite__Set_OMax(V_A,T_b),T_b) )).++cnf(cls_Finite__Set_OMax__le__iff_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_U,V_A,T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | ~ c_lessequals(c_Finite__Set_OMax(V_A,T_a),V_x,T_a)+ | c_lessequals(V_U,V_x,T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMax__le__iff_1,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_Main_OMax__le__iff__1(V_A,V_x,T_a),V_A,T_a)+ | c_lessequals(c_Finite__Set_OMax(V_A,T_a),V_x,T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMax__le__iff_2,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | ~ c_lessequals(c_Main_OMax__le__iff__1(V_A,V_x,T_a),V_x,T_a)+ | c_lessequals(c_Finite__Set_OMax(V_A,T_a),V_x,T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMax__less__iff_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_U,V_A,T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | ~ c_less(c_Finite__Set_OMax(V_A,T_a),V_x,T_a)+ | c_less(V_U,V_x,T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMax__less__iff_1,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_Main_OMax__less__iff__1(V_A,V_x,T_a),V_A,T_a)+ | c_less(c_Finite__Set_OMax(V_A,T_a),V_x,T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMax__less__iff_2,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | ~ c_less(c_Main_OMax__less__iff__1(V_A,V_x,T_a),V_x,T_a)+ | c_less(c_Finite__Set_OMax(V_A,T_a),V_x,T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMax__singleton_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_Finite__Set_OMax(c_insert(V_y,c_emptyset,T_a),T_a) = V_y )).++cnf(cls_Finite__Set_OMin__ge__iff_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_U,V_A,T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | ~ c_lessequals(V_x,c_Finite__Set_OMin(V_A,T_a),T_a)+ | c_lessequals(V_x,V_U,T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMin__ge__iff_1,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_Main_OMin__ge__iff__1(V_A,V_x,T_a),V_A,T_a)+ | c_lessequals(V_x,c_Finite__Set_OMin(V_A,T_a),T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMin__ge__iff_2,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | ~ c_lessequals(V_x,c_Main_OMin__ge__iff__1(V_A,V_x,T_a),T_a)+ | c_lessequals(V_x,c_Finite__Set_OMin(V_A,T_a),T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMin__gr__iff_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_U,V_A,T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | ~ c_less(V_x,c_Finite__Set_OMin(V_A,T_a),T_a)+ | c_less(V_x,V_U,T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMin__gr__iff_1,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_Main_OMin__gr__iff__1(V_A,V_x,T_a),V_A,T_a)+ | c_less(V_x,c_Finite__Set_OMin(V_A,T_a),T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMin__gr__iff_2,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | ~ c_less(V_x,c_Main_OMin__gr__iff__1(V_A,V_x,T_a),T_a)+ | c_less(V_x,c_Finite__Set_OMin(V_A,T_a),T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMin__in_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_Finite__Set_OMin(V_A,T_a),V_A,T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMin__insert_0,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_b))+ | V_A = c_emptyset+ | c_Finite__Set_OMin(c_insert(V_x,V_A,T_b),T_b) = c_Orderings_Omin(V_x,c_Finite__Set_OMin(V_A,T_b),T_b) )).++cnf(cls_Finite__Set_OMin__le_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_in(V_x,V_A,T_a)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_lessequals(c_Finite__Set_OMin(V_A,T_a),V_x,T_a)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_OMin__singleton_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_Finite__Set_OMin(c_insert(V_y,c_emptyset,T_a),T_a) = V_y )).++cnf(cls_Finite__Set_Ocard__0__eq_0,axiom,+ ( ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_Finite__Set_Ocard(V_A,T_a) != c_0+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_Ocard__0__eq_1,axiom,+ ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(T_a))+ | c_Finite__Set_Ocard(c_emptyset,T_a) = c_0 )).++cnf(cls_Finite__Set_Ocard__empty_0,axiom,+ ( c_Finite__Set_Ocard(c_emptyset,T_a) = c_0 )).++cnf(cls_Finite__Set_Ocard__infinite_0,axiom,+ ( c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_Finite__Set_Ocard(V_A,T_a) = c_0 )).++cnf(cls_Finite__Set_Ocard__insert__disjoint_0,axiom,+ ( ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(V_x,V_A,T_a)+ | c_Finite__Set_Ocard(c_insert(V_x,V_A,T_a),T_a) = c_Suc(c_Finite__Set_Ocard(V_A,T_a)) )).++cnf(cls_Finite__Set_Ofinite__Diff_0,axiom,+ ( ~ c_in(V_B,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_minus(V_B,V_Ba,tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Diff__insert_0,axiom,+ ( ~ c_in(c_minus(V_A,c_insert(V_a,V_B,T_a),tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_minus(V_A,V_B,tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Diff__insert_1,axiom,+ ( ~ c_in(c_minus(V_A,V_B,tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_minus(V_A,c_insert(V_a,V_B,T_a),tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Pow__iff_0,axiom,+ ( ~ c_in(c_Pow(V_A,T_a),c_Finite__Set_OFinites,tc_set(tc_set(T_a)))+ | c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Pow__iff_1,axiom,+ ( ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_Pow(V_A,T_a),c_Finite__Set_OFinites,tc_set(tc_set(T_a))) )).++cnf(cls_Finite__Set_Ofinite__Un_0,axiom,+ ( ~ c_in(c_union(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(V_F,c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Un_1,axiom,+ ( ~ c_in(c_union(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(V_G,c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Un_2,axiom,+ ( ~ c_in(V_G,c_Finite__Set_OFinites,tc_set(T_a))+ | ~ c_in(V_F,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_union(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__converse_0,axiom,+ ( ~ c_in(c_Relation_Oconverse(V_r,T_b,T_a),c_Finite__Set_OFinites,tc_set(tc_prod(T_a,T_b)))+ | c_in(V_r,c_Finite__Set_OFinites,tc_set(tc_prod(T_b,T_a))) )).++cnf(cls_Finite__Set_Ofinite__converse_1,axiom,+ ( ~ c_in(V_r,c_Finite__Set_OFinites,tc_set(tc_prod(T_b,T_a)))+ | c_in(c_Relation_Oconverse(V_r,T_b,T_a),c_Finite__Set_OFinites,tc_set(tc_prod(T_a,T_b))) )).++cnf(cls_Finite__Set_Ofinite__insert_0,axiom,+ ( ~ c_in(c_insert(V_a,V_A,T_a),c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_OInf__le__Sup_0,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_b))+ | c_lessequals(c_Finite__Set_OMin(V_A,T_b),c_Finite__Set_OMax(V_A,T_b),T_b)+ | V_A = c_emptyset )).++cnf(cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Oinf__Sup__absorb_0,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | ~ c_in(V_y,V_A,T_b)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_b))+ | V_A = c_emptyset+ | c_Orderings_Omin(V_y,c_Finite__Set_OMax(V_A,T_b),T_b) = V_y )).++cnf(cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Osup__Inf__absorb_0,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | ~ c_in(V_y,V_A,T_b)+ | ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_b))+ | V_A = c_emptyset+ | c_Orderings_Omax(V_y,c_Finite__Set_OMin(V_A,T_b),T_b) = V_y )).++cnf(cls_Finite__Set_Oof__nat__id_0,axiom,+ ( c_NatArith_Oof__nat(V_y,tc_nat) = V_y )).++cnf(cls_Fun_Oid__apply_0,axiom,+ ( c_Fun_Oid(V_y,T_a) = V_y )).++cnf(cls_GCD_Ogcd__0_0,axiom,+ ( c_GCD_Ogcd(c_Pair(V_y,c_0,tc_nat,tc_nat)) = V_y )).++cnf(cls_GCD_Ogcd__0__left_0,axiom,+ ( c_GCD_Ogcd(c_Pair(c_0,V_y,tc_nat,tc_nat)) = V_y )).++cnf(cls_GCD_Ogcd__1_0,axiom,+ ( c_GCD_Ogcd(c_Pair(V_m,c_Suc(c_0),tc_nat,tc_nat)) = c_1 )).++cnf(cls_GCD_Ogcd__1__left_0,axiom,+ ( c_GCD_Ogcd(c_Pair(c_Suc(c_0),V_m,tc_nat,tc_nat)) = c_1 )).++cnf(cls_GCD_Ogcd__add1_0,axiom,+ ( c_GCD_Ogcd(c_Pair(c_plus(V_m,V_n,tc_nat),V_n,tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)) )).++cnf(cls_GCD_Ogcd__add2_0,axiom,+ ( c_GCD_Ogcd(c_Pair(V_m,c_plus(V_m,V_n,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)) )).++cnf(cls_GCD_Ogcd__add2_H_0,axiom,+ ( c_GCD_Ogcd(c_Pair(V_m,c_plus(V_n,V_m,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)) )).++cnf(cls_GCD_Ogcd__greatest__iff_0,axiom,+ ( ~ c_Divides_Oop_Advd(V_k,c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),tc_nat)+ | c_Divides_Oop_Advd(V_k,V_m,tc_nat) )).++cnf(cls_GCD_Ogcd__greatest__iff_1,axiom,+ ( ~ c_Divides_Oop_Advd(V_k,c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),tc_nat)+ | c_Divides_Oop_Advd(V_k,V_n,tc_nat) )).++cnf(cls_GCD_Ogcd__greatest__iff_2,axiom,+ ( ~ c_Divides_Oop_Advd(V_k,V_n,tc_nat)+ | ~ c_Divides_Oop_Advd(V_k,V_m,tc_nat)+ | c_Divides_Oop_Advd(V_k,c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),tc_nat) )).++cnf(cls_GCD_Ogcd__mult_0,axiom,+ ( c_GCD_Ogcd(c_Pair(V_y,c_times(V_y,V_n,tc_nat),tc_nat,tc_nat)) = V_y )).++cnf(cls_GCD_Ogcd__self_0,axiom,+ ( c_GCD_Ogcd(c_Pair(V_y,V_y,tc_nat,tc_nat)) = V_y )).++cnf(cls_Infinite__Set_Onat__infinite_0,axiom,+ ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) )).++cnf(cls_IntArith_Oabs__minus__one_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,T_a),T_a) = c_1 )).++cnf(cls_IntArith_Oabs__power__minus__one_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,T_a),V_n,T_a),T_a) = c_1 )).++cnf(cls_IntArith_Oarith__special__10_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_y,T_a),T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(V_y)),T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__10_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(V_y)),T_a),T_a)+ | c_less(c_0,c_Numeral_Onumber__of(V_y,T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__11_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_1,c_Numeral_Onumber__of(V_y,T_a),T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(V_y)),T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__11_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(V_y)),T_a),T_a)+ | c_less(c_1,c_Numeral_Onumber__of(V_y,T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__12_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_Numeral_Onumber__of(V_x,T_a),c_0,T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(c_Numeral_OPls)),T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__12_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(c_Numeral_OPls)),T_a),T_a)+ | c_less(c_Numeral_Onumber__of(V_x,T_a),c_0,T_a) )).++cnf(cls_IntArith_Oarith__special__13_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_Numeral_Onumber__of(V_x,T_a),c_1,T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__13_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),T_a),T_a)+ | c_less(c_Numeral_Onumber__of(V_x,T_a),c_1,T_a) )).++cnf(cls_IntArith_Oarith__special__14_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_y,c_Numeral_Obin__minus(c_Numeral_OPls)),T_a),T_a)+ | ~ c_lessequals(c_0,c_Numeral_Onumber__of(V_y,T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__14_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_y,c_Numeral_Obin__minus(c_Numeral_OPls)),T_a),T_a)+ | c_lessequals(c_0,c_Numeral_Onumber__of(V_y,T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__15_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_y,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),T_a),T_a)+ | ~ c_lessequals(c_1,c_Numeral_Onumber__of(V_y,T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__15_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_y,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),T_a),T_a)+ | c_lessequals(c_1,c_Numeral_Onumber__of(V_y,T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__16_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(V_x)),T_a),T_a)+ | ~ c_lessequals(c_Numeral_Onumber__of(V_x,T_a),c_0,T_a) )).++cnf(cls_IntArith_Oarith__special__16_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(V_x)),T_a),T_a)+ | c_lessequals(c_Numeral_Onumber__of(V_x,T_a),c_0,T_a) )).++cnf(cls_IntArith_Oarith__special__17_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(V_x)),T_a),T_a)+ | ~ c_lessequals(c_Numeral_Onumber__of(V_x,T_a),c_1,T_a) )).++cnf(cls_IntArith_Oarith__special__17_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(V_x)),T_a),T_a)+ | c_lessequals(c_Numeral_Onumber__of(V_x,T_a),c_1,T_a) )).++cnf(cls_IntArith_Oarith__special__1_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_plus(c_1,c_1,T_a) = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),T_a) )).++cnf(cls_IntArith_Oarith__special__2_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_plus(c_1,c_Numeral_Onumber__of(V_w,T_a),T_a) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),V_w),T_a) )).++cnf(cls_IntArith_Oarith__special__3_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_plus(c_Numeral_Onumber__of(V_v,T_a),c_1,T_a) = c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),T_a) )).++cnf(cls_IntArith_Oarith__special__4_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_minus(c_1,c_Numeral_Onumber__of(V_w,T_a),T_a) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(V_w)),T_a) )).++cnf(cls_IntArith_Oarith__special__5_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_minus(c_Numeral_Onumber__of(V_v,T_a),c_1,T_a) = c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),T_a) )).++cnf(cls_IntArith_Oarith__special__6_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_0 != c_Numeral_Onumber__of(V_y,T_a)+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(V_y)),T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__6_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(V_y)),T_a),T_a)+ | c_0 = c_Numeral_Onumber__of(V_y,T_a) )).++cnf(cls_IntArith_Oarith__special__7_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_1 != c_Numeral_Onumber__of(V_y,T_a)+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(V_y)),T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__7_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(V_y)),T_a),T_a)+ | c_1 = c_Numeral_Onumber__of(V_y,T_a) )).++cnf(cls_IntArith_Oarith__special__8_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_Numeral_Onumber__of(V_x,T_a) != c_0+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(c_Numeral_OPls)),T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__8_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(c_Numeral_OPls)),T_a),T_a)+ | c_Numeral_Onumber__of(V_x,T_a) = c_0 )).++cnf(cls_IntArith_Oarith__special__9_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_Numeral_Onumber__of(V_x,T_a) != c_1+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),T_a),T_a) )).++cnf(cls_IntArith_Oarith__special__9_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),T_a),T_a)+ | c_Numeral_Onumber__of(V_x,T_a) = c_1 )).++cnf(cls_IntArith_Oint__eq__iff__number__of_0,axiom,+ ( c_IntDef_Oint(V_m) != c_Numeral_Onumber__of(V_v,tc_IntDef_Oint)+ | V_m = c_IntDef_Onat(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint)) )).++cnf(cls_IntArith_Oint__eq__iff__number__of_1,axiom,+ ( c_IntDef_Oint(V_m) != c_Numeral_Onumber__of(V_v,tc_IntDef_Oint)+ | c_lessequals(c_0,c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntArith_Oint__eq__iff__number__of_2,axiom,+ ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint))) = c_Numeral_Onumber__of(V_v,tc_IntDef_Oint) )).++cnf(cls_IntArith_Onat__1_0,axiom,+ ( c_IntDef_Onat(c_1) = c_Suc(c_0) )).++cnf(cls_IntArith_Oof__int__m1_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),T_a) = c_Numeral_Onumber__of(c_Numeral_OMin,T_a) )).++cnf(cls_IntArith_Oone__less__nat__eq_0,axiom,+ ( ~ c_less(c_Suc(c_0),c_IntDef_Onat(V_z),tc_nat)+ | c_less(c_1,V_z,tc_IntDef_Oint) )).++cnf(cls_IntArith_Oone__less__nat__eq_1,axiom,+ ( ~ c_less(c_1,V_z,tc_IntDef_Oint)+ | c_less(c_Suc(c_0),c_IntDef_Onat(V_z),tc_nat) )).++cnf(cls_IntArith_Oz1_A_L_A_N_Aw1_A_61_61_Az1_A_N_Aw1_0,axiom,+ ( c_plus(V_z,c_uminus(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(V_z,V_w,tc_IntDef_Oint) )).++cnf(cls_IntArith_Ozabs__less__one__iff_0,axiom,+ ( ~ c_less(c_HOL_Oabs(V_z,tc_IntDef_Oint),c_1,tc_IntDef_Oint)+ | V_z = c_0 )).++cnf(cls_IntArith_Ozabs__less__one__iff_1,axiom,+ ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) )).++cnf(cls_IntArith_Ozle__add1__eq__le_0,axiom,+ ( ~ c_less(V_w,c_plus(V_z,c_1,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_lessequals(V_w,V_z,tc_IntDef_Oint) )).++cnf(cls_IntArith_Ozle__add1__eq__le_1,axiom,+ ( ~ c_lessequals(V_w,V_z,tc_IntDef_Oint)+ | c_less(V_w,c_plus(V_z,c_1,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntArith_Ozle__diff1__eq_0,axiom,+ ( ~ c_lessequals(V_w,c_minus(V_z,c_1,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_less(V_w,V_z,tc_IntDef_Oint) )).++cnf(cls_IntArith_Ozle__diff1__eq_1,axiom,+ ( ~ c_less(V_w,V_z,tc_IntDef_Oint)+ | c_lessequals(V_w,c_minus(V_z,c_1,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDef_OInteg_OAbs__Integ__inject_0,axiom,+ ( ~ c_in(V_y,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))+ | ~ c_in(V_x,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))+ | c_IntDef_OAbs__Integ(V_x) != c_IntDef_OAbs__Integ(V_y)+ | V_x = V_y )).++cnf(cls_IntDef_OInteg_OAbs__Integ__inverse_0,axiom,+ ( ~ c_in(V_y,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))+ | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(V_y)) = V_y )).++cnf(cls_IntDef_OInts__0_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_in(c_0,c_IntDef_OInts,T_a) )).++cnf(cls_IntDef_OInts__1_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_in(c_1,c_IntDef_OInts,T_a) )).++cnf(cls_IntDef_OInts__add_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | ~ c_in(V_b,c_IntDef_OInts,T_a)+ | ~ c_in(V_a,c_IntDef_OInts,T_a)+ | c_in(c_plus(V_a,V_b,T_a),c_IntDef_OInts,T_a) )).++cnf(cls_IntDef_OInts__diff_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | ~ c_in(V_b,c_IntDef_OInts,T_a)+ | ~ c_in(V_a,c_IntDef_OInts,T_a)+ | c_in(c_minus(V_a,V_b,T_a),c_IntDef_OInts,T_a) )).++cnf(cls_IntDef_OInts__minus_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | ~ c_in(V_a,c_IntDef_OInts,T_a)+ | c_in(c_uminus(V_a,T_a),c_IntDef_OInts,T_a) )).++cnf(cls_IntDef_OInts__mult_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | ~ c_in(V_b,c_IntDef_OInts,T_a)+ | ~ c_in(V_a,c_IntDef_OInts,T_a)+ | c_in(c_times(V_a,V_b,T_a),c_IntDef_OInts,T_a) )).++cnf(cls_IntDef_ONats__0_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T_a)+ | c_in(c_0,c_IntDef_ONats,T_a) )).++cnf(cls_IntDef_ONats__1_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T_a)+ | c_in(c_1,c_IntDef_ONats,T_a) )).++cnf(cls_IntDef_ONats__add_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T_a)+ | ~ c_in(V_b,c_IntDef_ONats,T_a)+ | ~ c_in(V_a,c_IntDef_ONats,T_a)+ | c_in(c_plus(V_a,V_b,T_a),c_IntDef_ONats,T_a) )).++cnf(cls_IntDef_ONats__mult_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T_a)+ | ~ c_in(V_b,c_IntDef_ONats,T_a)+ | ~ c_in(V_a,c_IntDef_ONats,T_a)+ | c_in(c_times(V_a,V_b,T_a),c_IntDef_ONats,T_a) )).++cnf(cls_IntDef_Oabs__int__eq_0,axiom,+ ( c_HOL_Oabs(c_IntDef_Oint(V_m),tc_IntDef_Oint) = c_IntDef_Oint(V_m) )).++cnf(cls_IntDef_Oequiv__intrel__iff_0,axiom,+ ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(V_x,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(V_y,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))+ | c_in(c_Pair(V_x,V_y,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) )).++cnf(cls_IntDef_Oequiv__intrel__iff_1,axiom,+ ( ~ c_in(c_Pair(V_x,V_y,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))+ | c_Relation_OImage(c_IntDef_Ointrel,c_insert(V_x,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(V_y,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) )).++cnf(cls_IntDef_Oint__0__neq__1_0,axiom,+ ( c_0 != c_1 )).++cnf(cls_IntDef_Oint__1_0,axiom,+ ( c_IntDef_Oint(c_1) = c_1 )).++cnf(cls_IntDef_Oint__Suc_0,axiom,+ ( c_IntDef_Oint(c_Suc(V_m)) = c_plus(c_1,c_IntDef_Oint(V_m),tc_IntDef_Oint) )).++cnf(cls_IntDef_Oint__eq__0__conv_0,axiom,+ ( c_IntDef_Oint(V_n) != c_0+ | V_n = c_0 )).++cnf(cls_IntDef_Oint__eq__0__conv_1,axiom,+ ( c_IntDef_Oint(c_0) = c_0 )).++cnf(cls_IntDef_Oint__int__eq_0,axiom,+ ( c_IntDef_Oint(V_m) != c_IntDef_Oint(V_n)+ | V_m = V_n )).++cnf(cls_IntDef_Oint__le__0__conv_0,axiom,+ ( ~ c_lessequals(c_IntDef_Oint(V_n),c_0,tc_IntDef_Oint)+ | V_n = c_0 )).++cnf(cls_IntDef_Oint__le__0__conv_1,axiom,+ ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) )).++cnf(cls_IntDef_Oint__less__0__conv_0,axiom,+ ( ~ c_less(c_IntDef_Oint(V_k),c_0,tc_IntDef_Oint) )).++cnf(cls_IntDef_Oint__nat__eq_0,axiom,+ ( ~ c_lessequals(c_0,V_z,tc_IntDef_Oint)+ | c_IntDef_Oint(c_IntDef_Onat(V_z)) = V_z )).++cnf(cls_IntDef_Oint__nat__eq_1,axiom,+ ( c_lessequals(c_0,V_z,tc_IntDef_Oint)+ | c_IntDef_Oint(c_IntDef_Onat(V_z)) = c_0 )).++cnf(cls_IntDef_Ointrel_A_96_96_A_123_Ix1_M_Ay1_J_125_A_58_AInteg_A_61_61_ATrue_0,axiom,+ ( c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(V_x,V_y,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) )).++cnf(cls_IntDef_Ointrel__iff_0,axiom,+ ( ~ c_in(c_Pair(c_Pair(V_x,V_y,tc_nat,tc_nat),c_Pair(V_u,V_v,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))+ | c_plus(V_x,V_v,tc_nat) = c_plus(V_u,V_y,tc_nat) )).++cnf(cls_IntDef_Ointrel__iff_1,axiom,+ ( c_plus(V_x,V_v,tc_nat) != c_plus(V_u,V_y,tc_nat)+ | c_in(c_Pair(c_Pair(V_x,V_y,tc_nat,tc_nat),c_Pair(V_u,V_v,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) )).++cnf(cls_IntDef_Onat__int_0,axiom,+ ( c_IntDef_Onat(c_IntDef_Oint(V_y)) = V_y )).++cnf(cls_IntDef_Onat__le__0_0,axiom,+ ( ~ c_lessequals(V_z,c_0,tc_IntDef_Oint)+ | c_IntDef_Onat(V_z) = c_0 )).++cnf(cls_IntDef_Onat__zero_0,axiom,+ ( c_IntDef_Onat(c_0) = c_0 )).++cnf(cls_IntDef_Onat__zminus__int_0,axiom,+ ( c_IntDef_Onat(c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint)) = c_0 )).++cnf(cls_IntDef_Oneg__zminus__int_0,axiom,+ ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDef_Onegative__eq__positive_0,axiom,+ ( c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint) != c_IntDef_Oint(V_m)+ | V_n = c_0 )).++cnf(cls_IntDef_Onegative__eq__positive_1,axiom,+ ( c_uminus(c_IntDef_Oint(V_n),tc_IntDef_Oint) != c_IntDef_Oint(V_m)+ | V_m = c_0 )).++cnf(cls_IntDef_Onegative__eq__positive_2,axiom,+ ( c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) = c_IntDef_Oint(c_0) )).++cnf(cls_IntDef_Onot__int__zless__negative_0,axiom,+ ( ~ c_less(c_IntDef_Oint(V_n),c_uminus(c_IntDef_Oint(V_m),tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDef_Onot__neg__int_0,axiom,+ ( ~ c_IntDef_Oneg(c_IntDef_Oint(V_n),tc_IntDef_Oint) )).++cnf(cls_IntDef_Onot__zle__0__negative_0,axiom,+ ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(V_n)),tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDef_Oof__int__0__eq__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_0 != c_IntDef_Oof__int(V_z,T_a)+ | c_0 = V_z )).++cnf(cls_IntDef_Oof__int__0__eq__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_0 = c_IntDef_Oof__int(c_0,T_a) )).++cnf(cls_IntDef_Oof__int__0__le__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(c_0,c_IntDef_Oof__int(V_z,T_a),T_a)+ | c_lessequals(c_0,V_z,tc_IntDef_Oint) )).++cnf(cls_IntDef_Oof__int__0__le__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(c_0,V_z,tc_IntDef_Oint)+ | c_lessequals(c_0,c_IntDef_Oof__int(V_z,T_a),T_a) )).++cnf(cls_IntDef_Oof__int__0__less__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_0,c_IntDef_Oof__int(V_z,T_a),T_a)+ | c_less(c_0,V_z,tc_IntDef_Oint) )).++cnf(cls_IntDef_Oof__int__0__less__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_0,V_z,tc_IntDef_Oint)+ | c_less(c_0,c_IntDef_Oof__int(V_z,T_a),T_a) )).++cnf(cls_IntDef_Oof__int__1_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_IntDef_Oof__int(c_1,T_a) = c_1 )).++cnf(cls_IntDef_Oof__int__add_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_IntDef_Oof__int(c_plus(V_w,V_z,tc_IntDef_Oint),T_a) = c_plus(c_IntDef_Oof__int(V_w,T_a),c_IntDef_Oof__int(V_z,T_a),T_a) )).++cnf(cls_IntDef_Oof__int__diff_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_IntDef_Oof__int(c_minus(V_w,V_z,tc_IntDef_Oint),T_a) = c_minus(c_IntDef_Oof__int(V_w,T_a),c_IntDef_Oof__int(V_z,T_a),T_a) )).++cnf(cls_IntDef_Oof__int__eq__0__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_IntDef_Oof__int(V_w,T_a) != c_0+ | V_w = c_0 )).++cnf(cls_IntDef_Oof__int__eq__0__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_IntDef_Oof__int(c_0,T_a) = c_0 )).++cnf(cls_IntDef_Oof__int__eq__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_IntDef_Oof__int(V_w,T_a) != c_IntDef_Oof__int(V_z,T_a)+ | V_w = V_z )).++cnf(cls_IntDef_Oof__int__int__eq_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_IntDef_Oof__int(c_IntDef_Oint(V_n),T_a) = c_NatArith_Oof__nat(V_n,T_a) )).++cnf(cls_IntDef_Oof__int__le__0__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(c_IntDef_Oof__int(V_w,T_a),c_0,T_a)+ | c_lessequals(V_w,c_0,tc_IntDef_Oint) )).++cnf(cls_IntDef_Oof__int__le__0__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(V_w,c_0,tc_IntDef_Oint)+ | c_lessequals(c_IntDef_Oof__int(V_w,T_a),c_0,T_a) )).++cnf(cls_IntDef_Oof__int__le__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(c_IntDef_Oof__int(V_w,T_a),c_IntDef_Oof__int(V_z,T_a),T_a)+ | c_lessequals(V_w,V_z,tc_IntDef_Oint) )).++cnf(cls_IntDef_Oof__int__le__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(V_w,V_z,tc_IntDef_Oint)+ | c_lessequals(c_IntDef_Oof__int(V_w,T_a),c_IntDef_Oof__int(V_z,T_a),T_a) )).++cnf(cls_IntDef_Oof__int__less__0__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_IntDef_Oof__int(V_w,T_a),c_0,T_a)+ | c_less(V_w,c_0,tc_IntDef_Oint) )).++cnf(cls_IntDef_Oof__int__less__0__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(V_w,c_0,tc_IntDef_Oint)+ | c_less(c_IntDef_Oof__int(V_w,T_a),c_0,T_a) )).++cnf(cls_IntDef_Oof__int__less__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_IntDef_Oof__int(V_w,T_a),c_IntDef_Oof__int(V_z,T_a),T_a)+ | c_less(V_w,V_z,tc_IntDef_Oint) )).++cnf(cls_IntDef_Oof__int__less__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(V_w,V_z,tc_IntDef_Oint)+ | c_less(c_IntDef_Oof__int(V_w,T_a),c_IntDef_Oof__int(V_z,T_a),T_a) )).++cnf(cls_IntDef_Oof__int__minus_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_IntDef_Oof__int(c_uminus(V_z,tc_IntDef_Oint),T_a) = c_uminus(c_IntDef_Oof__int(V_z,T_a),T_a) )).++cnf(cls_IntDef_Oof__int__mult_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_IntDef_Oof__int(c_times(V_w,V_z,tc_IntDef_Oint),T_a) = c_times(c_IntDef_Oof__int(V_w,T_a),c_IntDef_Oof__int(V_z,T_a),T_a) )).++cnf(cls_IntDef_Oof__int__of__nat__eq_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_IntDef_Oof__int(c_NatArith_Oof__nat(V_n,tc_IntDef_Oint),T_a) = c_NatArith_Oof__nat(V_n,T_a) )).++cnf(cls_IntDef_Oof__nat__in__Nats_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T_a)+ | c_in(c_NatArith_Oof__nat(V_n,T_a),c_IntDef_ONats,T_a) )).++cnf(cls_IntDef_Ozero__less__int__conv_0,axiom,+ ( ~ c_less(c_0,c_IntDef_Oint(V_n),tc_IntDef_Oint)+ | c_less(c_0,V_n,tc_nat) )).++cnf(cls_IntDef_Ozero__less__int__conv_1,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | c_less(c_0,c_IntDef_Oint(V_n),tc_IntDef_Oint) )).++cnf(cls_IntDef_Ozero__less__nat__eq_0,axiom,+ ( ~ c_less(c_0,c_IntDef_Onat(V_z),tc_nat)+ | c_less(c_0,V_z,tc_IntDef_Oint) )).++cnf(cls_IntDef_Ozero__less__nat__eq_1,axiom,+ ( ~ c_less(c_0,V_z,tc_IntDef_Oint)+ | c_less(c_0,c_IntDef_Onat(V_z),tc_nat) )).++cnf(cls_IntDef_Ozero__zle__int_0,axiom,+ ( c_lessequals(c_0,c_IntDef_Oint(V_n),tc_IntDef_Oint) )).++cnf(cls_IntDef_Ozle__int_0,axiom,+ ( ~ c_lessequals(c_IntDef_Oint(V_m),c_IntDef_Oint(V_n),tc_IntDef_Oint)+ | c_lessequals(V_m,V_n,tc_nat) )).++cnf(cls_IntDef_Ozle__int_1,axiom,+ ( ~ c_lessequals(V_m,V_n,tc_nat)+ | c_lessequals(c_IntDef_Oint(V_m),c_IntDef_Oint(V_n),tc_IntDef_Oint) )).++cnf(cls_IntDef_Ozless__int_0,axiom,+ ( ~ c_less(c_IntDef_Oint(V_m),c_IntDef_Oint(V_n),tc_IntDef_Oint)+ | c_less(V_m,V_n,tc_nat) )).++cnf(cls_IntDef_Ozless__int_1,axiom,+ ( ~ c_less(V_m,V_n,tc_nat)+ | c_less(c_IntDef_Oint(V_m),c_IntDef_Oint(V_n),tc_IntDef_Oint) )).++cnf(cls_IntDef_Ozless__nat__conj_0,axiom,+ ( ~ c_less(c_IntDef_Onat(V_w),c_IntDef_Onat(V_z),tc_nat)+ | c_less(c_0,V_z,tc_IntDef_Oint) )).++cnf(cls_IntDef_Ozless__nat__conj_1,axiom,+ ( ~ c_less(c_IntDef_Onat(V_w),c_IntDef_Onat(V_z),tc_nat)+ | c_less(V_w,V_z,tc_IntDef_Oint) )).++cnf(cls_IntDef_Ozless__nat__conj_2,axiom,+ ( ~ c_less(V_w,V_z,tc_IntDef_Oint)+ | ~ c_less(c_0,V_z,tc_IntDef_Oint)+ | c_less(c_IntDef_Onat(V_w),c_IntDef_Onat(V_z),tc_nat) )).++cnf(cls_IntDiv_ODIVISION__BY__ZERO_0,axiom,+ ( c_Divides_Oop_Amod(V_y,c_0,tc_IntDef_Oint) = V_y )).++cnf(cls_IntDiv_Odiv__neg__neg__number__of_0,axiom,+ ( ~ c_less(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_0,tc_IntDef_Oint)+ | ~ c_lessequals(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_0,tc_IntDef_Oint)+ | c_div(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Odiv__neg__pos__number__of_0,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_less(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_0,tc_IntDef_Oint)+ | c_div(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Odiv__pos__neg__1__number__of_0,axiom,+ ( ~ c_less(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_0,tc_IntDef_Oint)+ | c_div(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Odiv__pos__neg__number__of_0,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_less(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_0,tc_IntDef_Oint)+ | c_div(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Odiv__pos__pos__1__number__of_0,axiom,+ ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_div(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Odiv__pos__pos__number__of_0,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_lessequals(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_div(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Odvd__zminus__iff_0,axiom,+ ( ~ c_Divides_Oop_Advd(V_z,c_uminus(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Odvd__zminus__iff_1,axiom,+ ( ~ c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint)+ | c_Divides_Oop_Advd(V_z,c_uminus(V_w,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Omod__div__trivial_0,axiom,+ ( c_div(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0 )).++cnf(cls_IntDiv_Omod__mod__trivial_0,axiom,+ ( c_Divides_Oop_Amod(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Omod__neg__neg__number__of_0,axiom,+ ( ~ c_less(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_0,tc_IntDef_Oint)+ | ~ c_lessequals(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_0,tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Omod__neg__pos__number__of_0,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_less(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_0,tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Omod__pos__neg__1__number__of_0,axiom,+ ( ~ c_less(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_0,tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Omod__pos__neg__number__of_0,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_less(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_0,tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Omod__pos__pos__1__number__of_0,axiom,+ ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Omod__pos__pos__number__of_0,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_lessequals(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_OnegDivAlg__eqn__1__number__of_0,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_OnegDivAlg__eqn__1__number__of_1,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) )).++cnf(cls_IntDiv_OnegDivAlg__eqn__number__of_0,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_OnegDivAlg__eqn__number__of_1,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) )).++cnf(cls_IntDiv_OnegDivAlg__minus1_0,axiom,+ ( c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),V_b,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_minus(V_b,c_1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Oneg__mod__bound_0,axiom,+ ( ~ c_less(V_b,c_0,tc_IntDef_Oint)+ | c_less(V_b,c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Oneg__mod__sign_0,axiom,+ ( ~ c_less(V_b,c_0,tc_IntDef_Oint)+ | c_lessequals(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),c_0,tc_IntDef_Oint) )).++cnf(cls_IntDiv_OnegateSnd__eq_0,axiom,+ ( c_IntDiv_OnegateSnd(c_Pair(V_q,V_r,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(V_q,c_uminus(V_r,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_OposDivAlg__0_0,axiom,+ ( c_IntDiv_OposDivAlg(c_Pair(c_0,V_b,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_0,tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_OposDivAlg__eqn__1__number__of_0,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_less(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_OposDivAlg__eqn__1__number__of_1,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_less(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) )).++cnf(cls_IntDiv_OposDivAlg__eqn__number__of_0,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_less(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint) )).++cnf(cls_IntDiv_OposDivAlg__eqn__number__of_1,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_less(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))) )).++cnf(cls_IntDiv_Opos__mod__bound_0,axiom,+ ( ~ c_less(c_0,V_b,tc_IntDef_Oint)+ | c_less(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Opos__mod__sign_0,axiom,+ ( ~ c_less(c_0,V_b,tc_IntDef_Oint)+ | c_lessequals(c_0,c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Opower_Osimps__1_0,axiom,+ ( c_Nat_Opower(V_p,c_0,tc_IntDef_Oint) = c_1 )).++cnf(cls_IntDiv_Opower_Osimps__2_0,axiom,+ ( c_Nat_Opower(V_p,c_Suc(V_n),tc_IntDef_Oint) = c_times(V_p,c_Nat_Opower(V_p,V_n,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdiv__1_0,axiom,+ ( c_div(V_y,c_1,tc_IntDef_Oint) = V_y )).++cnf(cls_IntDiv_Ozdiv__minus1__right_0,axiom,+ ( c_div(V_a,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(V_a,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdiv__number__of__BIT_0,axiom,+ ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdiv__number__of__BIT_1,axiom,+ ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(V_v,V_b),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdiv__number__of__BIT_2,axiom,+ ( c_lessequals(c_0,c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | V_b = c_Numeral_Obit_OB0+ | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(V_v,V_b),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdiv__self_0,axiom,+ ( V_a = c_0+ | c_div(V_a,V_a,tc_IntDef_Oint) = c_1 )).++cnf(cls_IntDiv_Ozdiv__zadd__self1_0,axiom,+ ( V_a = c_0+ | c_div(c_plus(V_a,V_b,tc_IntDef_Oint),V_a,tc_IntDef_Oint) = c_plus(c_div(V_b,V_a,tc_IntDef_Oint),c_1,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdiv__zadd__self2_0,axiom,+ ( V_a = c_0+ | c_div(c_plus(V_b,V_a,tc_IntDef_Oint),V_a,tc_IntDef_Oint) = c_plus(c_div(V_b,V_a,tc_IntDef_Oint),c_1,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdiv__zero_0,axiom,+ ( c_div(c_0,V_b,tc_IntDef_Oint) = c_0 )).++cnf(cls_IntDiv_Ozdiv__zminus__zminus_0,axiom,+ ( c_div(c_uminus(V_a,tc_IntDef_Oint),c_uminus(V_b,tc_IntDef_Oint),tc_IntDef_Oint) = c_div(V_a,V_b,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdiv__zmult__self1_0,axiom,+ ( V_b = c_0+ | c_div(c_times(V_y,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = V_y )).++cnf(cls_IntDiv_Ozdiv__zmult__self2_0,axiom,+ ( V_b = c_0+ | c_div(c_times(V_b,V_y,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = V_y )).++cnf(cls_IntDiv_Ozdvd__0__left_0,axiom,+ ( ~ c_Divides_Oop_Advd(c_0,V_m,tc_IntDef_Oint)+ | V_m = c_0 )).++cnf(cls_IntDiv_Ozdvd__0__left_1,axiom,+ ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdvd__iff__zmod__eq__0__number__of_0,axiom,+ ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(V_x,tc_IntDef_Oint),c_Numeral_Onumber__of(V_y,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_y,tc_IntDef_Oint),c_Numeral_Onumber__of(V_x,tc_IntDef_Oint),tc_IntDef_Oint) = c_0 )).++cnf(cls_IntDiv_Ozdvd__iff__zmod__eq__0__number__of_1,axiom,+ ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_y,tc_IntDef_Oint),c_Numeral_Onumber__of(V_x,tc_IntDef_Oint),tc_IntDef_Oint) != c_0+ | c_Divides_Oop_Advd(c_Numeral_Onumber__of(V_x,tc_IntDef_Oint),c_Numeral_Onumber__of(V_y,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdvd__refl_0,axiom,+ ( c_Divides_Oop_Advd(V_m,V_m,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozero__le__zpower__abs_0,axiom,+ ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(V_x,tc_IntDef_Oint),V_n,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozero__less__zpower__abs__iff_0,axiom,+ ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),V_n,tc_IntDef_Oint),tc_IntDef_Oint)+ | V_n = c_0 )).++cnf(cls_IntDiv_Ozero__less__zpower__abs__iff_1,axiom,+ ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(V_x,tc_IntDef_Oint),V_n,tc_IntDef_Oint),tc_IntDef_Oint)+ | V_x = c_0 )).++cnf(cls_IntDiv_Ozero__less__zpower__abs__iff_2,axiom,+ ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(V_x,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozminus__dvd__iff_0,axiom,+ ( ~ c_Divides_Oop_Advd(c_uminus(V_z,tc_IntDef_Oint),V_w,tc_IntDef_Oint)+ | c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozminus__dvd__iff_1,axiom,+ ( ~ c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint)+ | c_Divides_Oop_Advd(c_uminus(V_z,tc_IntDef_Oint),V_w,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozmod__1_0,axiom,+ ( c_Divides_Oop_Amod(V_a,c_1,tc_IntDef_Oint) = c_0 )).++cnf(cls_IntDiv_Ozmod__minus1__right_0,axiom,+ ( c_Divides_Oop_Amod(V_a,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_0 )).++cnf(cls_IntDiv_Ozmod__self_0,axiom,+ ( c_Divides_Oop_Amod(V_a,V_a,tc_IntDef_Oint) = c_0 )).++cnf(cls_IntDiv_Ozmod__zadd__self1_0,axiom,+ ( c_Divides_Oop_Amod(c_plus(V_a,V_b,tc_IntDef_Oint),V_a,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_b,V_a,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozmod__zadd__self2_0,axiom,+ ( c_Divides_Oop_Amod(c_plus(V_b,V_a,tc_IntDef_Oint),V_a,tc_IntDef_Oint) = c_Divides_Oop_Amod(V_b,V_a,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozmod__zero_0,axiom,+ ( c_Divides_Oop_Amod(c_0,V_b,tc_IntDef_Oint) = c_0 )).++cnf(cls_IntDiv_Ozmod__zminus__zminus_0,axiom,+ ( c_Divides_Oop_Amod(c_uminus(V_a,tc_IntDef_Oint),c_uminus(V_b,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_Divides_Oop_Amod(V_a,V_b,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozmod__zmult__self1_0,axiom,+ ( c_Divides_Oop_Amod(c_times(V_a,V_b,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0 )).++cnf(cls_IntDiv_Ozmod__zmult__self2_0,axiom,+ ( c_Divides_Oop_Amod(c_times(V_b,V_a,tc_IntDef_Oint),V_b,tc_IntDef_Oint) = c_0 )).++cnf(cls_LOrder_Ojoin__idempotent_0,axiom,+ ( ~ class_LOrder_Ojoin__semilorder(T_a)+ | c_LOrder_Ojoin(V_y,V_y,T_a) = V_y )).++cnf(cls_LOrder_Omeet__idempotent_0,axiom,+ ( ~ class_LOrder_Omeet__semilorder(T_a)+ | c_LOrder_Omeet(V_y,V_y,T_a) = V_y )).++cnf(cls_List_OCons__in__lex_0,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))+ | V_x = V_y )).++cnf(cls_List_OCons__in__lex_1,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))+ | c_in(c_Pair(V_xs,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_OCons__in__lex_2,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | V_x = V_y+ | c_Nat_Osize(V_xs,tc_List_Olist(T_a)) = c_Nat_Osize(V_ys,tc_List_Olist(T_a)) )).++cnf(cls_List_OCons__in__lex_3,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_in(c_Pair(V_xs,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_Nat_Osize(V_xs,tc_List_Olist(T_a)) = c_Nat_Osize(V_ys,tc_List_Olist(T_a)) )).++cnf(cls_List_OCons__in__lex_4,axiom,+ ( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))+ | c_Nat_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize(V_ys,tc_List_Olist(T_a))+ | c_in(c_Pair(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_OCons__in__lex_5,axiom,+ ( ~ c_in(c_Pair(V_xs,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_in(c_Pair(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_x,V_ys,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_ONil2__notin__lex_0,axiom,+ ( ~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_ONil__eq__concat__conv_0,axiom,+ ( ~ c_in(V_U,c_List_Oset(V_xss,tc_List_Olist(T_a)),tc_List_Olist(T_a))+ | c_List_Olist_ONil != c_List_Oconcat(V_xss,T_a)+ | V_U = c_List_Olist_ONil )).++cnf(cls_List_ONil__eq__concat__conv_1,axiom,+ ( c_in(c_Main_ONil__eq__concat__conv__1(V_xss,T_a),c_List_Oset(V_xss,tc_List_Olist(T_a)),tc_List_Olist(T_a))+ | c_List_Olist_ONil = c_List_Oconcat(V_xss,T_a) )).++cnf(cls_List_ONil__eq__concat__conv_2,axiom,+ ( c_Main_ONil__eq__concat__conv__1(V_xss,T_a) != c_List_Olist_ONil+ | c_List_Olist_ONil = c_List_Oconcat(V_xss,T_a) )).++cnf(cls_List_ONil__is__append__conv_0,axiom,+ ( c_List_Olist_ONil != c_append(V_xs,V_ys,T_a)+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_ONil__is__append__conv_1,axiom,+ ( c_List_Olist_ONil != c_append(V_xs,V_ys,T_a)+ | V_ys = c_List_Olist_ONil )).++cnf(cls_List_ONil__is__append__conv_2,axiom,+ ( c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) )).++cnf(cls_List_ONil__is__rev__conv_0,axiom,+ ( c_List_Olist_ONil != c_List_Orev(V_xs,T_a)+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_ONil__is__rev__conv_1,axiom,+ ( c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,T_a) )).++cnf(cls_List_ONil__notin__lex_0,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_Oappend1__eq__conv_0,axiom,+ ( c_append(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) != c_append(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a)+ | V_xs = V_ys )).++cnf(cls_List_Oappend1__eq__conv_1,axiom,+ ( c_append(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) != c_append(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a)+ | V_x = V_y )).++cnf(cls_List_Oappend__assoc_0,axiom,+ ( c_append(c_append(V_xs,V_ys,T_a),V_zs,T_a) = c_append(V_xs,c_append(V_ys,V_zs,T_a),T_a) )).++cnf(cls_List_Oappend__butlast__last__id_0,axiom,+ ( V_y = c_List_Olist_ONil+ | c_append(c_List_Obutlast(V_y,T_a),c_List_Olist_OCons(c_List_Olast(V_y,T_a),c_List_Olist_ONil,T_a),T_a) = V_y )).++cnf(cls_List_Oappend__eq__append__conv_0,axiom,+ ( c_Nat_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize(V_ys,tc_List_Olist(T_a))+ | c_append(V_xs,V_us,T_a) != c_append(V_ys,V_vs,T_a)+ | V_xs = V_ys )).++cnf(cls_List_Oappend__eq__append__conv_1,axiom,+ ( c_Nat_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize(V_ys,tc_List_Olist(T_a))+ | c_append(V_xs,V_us,T_a) != c_append(V_ys,V_vs,T_a)+ | V_us = V_vs )).++cnf(cls_List_Oappend__eq__append__conv_2,axiom,+ ( c_Nat_Osize(V_us,tc_List_Olist(T_a)) != c_Nat_Osize(V_vs,tc_List_Olist(T_a))+ | c_append(V_xs,V_us,T_a) != c_append(V_ys,V_vs,T_a)+ | V_xs = V_ys )).++cnf(cls_List_Oappend__eq__append__conv_3,axiom,+ ( c_Nat_Osize(V_us,tc_List_Olist(T_a)) != c_Nat_Osize(V_vs,tc_List_Olist(T_a))+ | c_append(V_xs,V_us,T_a) != c_append(V_ys,V_vs,T_a)+ | V_us = V_vs )).++cnf(cls_List_Oappend__in__lists__conv_0,axiom,+ ( ~ c_in(c_append(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_Oappend__in__lists__conv_1,axiom,+ ( ~ c_in(c_append(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_Oappend__in__lists__conv_2,axiom,+ ( ~ c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | ~ c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | c_in(c_append(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_Oappend__is__Nil__conv_0,axiom,+ ( c_append(V_xs,V_ys,T_a) != c_List_Olist_ONil+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Oappend__is__Nil__conv_1,axiom,+ ( c_append(V_xs,V_ys,T_a) != c_List_Olist_ONil+ | V_ys = c_List_Olist_ONil )).++cnf(cls_List_Oappend__is__Nil__conv_2,axiom,+ ( c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Oappend__same__eq_0,axiom,+ ( c_append(V_ys,V_xs,T_a) != c_append(V_zs,V_xs,T_a)+ | V_ys = V_zs )).++cnf(cls_List_Oappend__self__conv2_0,axiom,+ ( c_append(V_xs,V_ys,T_a) != V_ys+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Oappend__self__conv2_1,axiom,+ ( c_append(c_List_Olist_ONil,V_ys,T_a) = V_ys )).++cnf(cls_List_Oappend__self__conv_0,axiom,+ ( c_append(V_xs,V_ys,T_a) != V_xs+ | V_ys = c_List_Olist_ONil )).++cnf(cls_List_Oappend__self__conv_1,axiom,+ ( c_append(V_xs,c_List_Olist_ONil,T_a) = V_xs )).++cnf(cls_List_Oappend__take__drop__id_0,axiom,+ ( c_append(c_List_Otake(V_n,V_y,T_a),c_List_Odrop(V_n,V_y,T_a),T_a) = V_y )).++cnf(cls_List_Obutlast_Osimps__1_0,axiom,+ ( c_List_Obutlast(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil )).++cnf(cls_List_Obutlast_Osimps__2_0,axiom,+ ( c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a__1),T_a__1) = c_List_Olist_ONil )).++cnf(cls_List_Obutlast_Osimps__2_1,axiom,+ ( V_xs = c_List_Olist_ONil+ | c_List_Obutlast(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) = c_List_Olist_OCons(V_x,c_List_Obutlast(V_xs,T_a__1),T_a__1) )).++cnf(cls_List_Obutlast__snoc_0,axiom,+ ( c_List_Obutlast(c_append(V_y,c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a),T_a) = V_y )).++cnf(cls_List_Ochar_Oinject_0,axiom,+ ( c_List_Ochar_OChar(V_nibble1,V_nibble2) != c_List_Ochar_OChar(V_nibble1_H,V_nibble2_H)+ | V_nibble1 = V_nibble1_H )).++cnf(cls_List_Ochar_Oinject_1,axiom,+ ( c_List_Ochar_OChar(V_nibble1,V_nibble2) != c_List_Ochar_OChar(V_nibble1_H,V_nibble2_H)+ | V_nibble2 = V_nibble2_H )).++cnf(cls_List_Ochar_Osize_0,axiom,+ ( c_Nat_Osize(c_List_Ochar_OChar(V_nibble1,V_nibble2),tc_List_Ochar) = c_0 )).++cnf(cls_List_Oconcat_Osimps__1_0,axiom,+ ( c_List_Oconcat(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil )).++cnf(cls_List_Oconcat_Osimps__2_0,axiom,+ ( c_List_Oconcat(c_List_Olist_OCons(V_x,V_xs,tc_List_Olist(T_a__1)),T_a__1) = c_append(V_x,c_List_Oconcat(V_xs,T_a__1),T_a__1) )).++cnf(cls_List_Oconcat__append_0,axiom,+ ( c_List_Oconcat(c_append(V_xs,V_ys,tc_List_Olist(T_a)),T_a) = c_append(c_List_Oconcat(V_xs,T_a),c_List_Oconcat(V_ys,T_a),T_a) )).++cnf(cls_List_Oconcat__eq__Nil__conv_0,axiom,+ ( ~ c_in(V_U,c_List_Oset(V_xss,tc_List_Olist(T_a)),tc_List_Olist(T_a))+ | c_List_Oconcat(V_xss,T_a) != c_List_Olist_ONil+ | V_U = c_List_Olist_ONil )).++cnf(cls_List_Oconcat__eq__Nil__conv_1,axiom,+ ( c_in(c_Main_Oconcat__eq__Nil__conv__1(V_xss,T_a),c_List_Oset(V_xss,tc_List_Olist(T_a)),tc_List_Olist(T_a))+ | c_List_Oconcat(V_xss,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Oconcat__eq__Nil__conv_2,axiom,+ ( c_Main_Oconcat__eq__Nil__conv__1(V_xss,T_a) != c_List_Olist_ONil+ | c_List_Oconcat(V_xss,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Odistinct1__rotate_0,axiom,+ ( ~ c_List_Odistinct(c_List_Orotate1(V_xs,T_a),T_a)+ | c_List_Odistinct(V_xs,T_a) )).++cnf(cls_List_Odistinct1__rotate_1,axiom,+ ( ~ c_List_Odistinct(V_xs,T_a)+ | c_List_Odistinct(c_List_Orotate1(V_xs,T_a),T_a) )).++cnf(cls_List_Odistinct_Osimps__1_0,axiom,+ ( c_List_Odistinct(c_List_Olist_ONil,T_a__1) )).++cnf(cls_List_Odistinct_Osimps__2_0,axiom,+ ( ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1)+ | ~ c_in(V_x,c_List_Oset(V_xs,T_a__1),T_a__1) )).++cnf(cls_List_Odistinct_Osimps__2_1,axiom,+ ( ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1)+ | c_List_Odistinct(V_xs,T_a__1) )).++cnf(cls_List_Odistinct_Osimps__2_2,axiom,+ ( ~ c_List_Odistinct(V_xs,T_a__1)+ | c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1)+ | c_in(V_x,c_List_Oset(V_xs,T_a__1),T_a__1) )).++cnf(cls_List_Odistinct__append_0,axiom,+ ( ~ c_List_Odistinct(c_append(V_xs,V_ys,T_a),T_a)+ | c_List_Odistinct(V_xs,T_a) )).++cnf(cls_List_Odistinct__append_1,axiom,+ ( ~ c_List_Odistinct(c_append(V_xs,V_ys,T_a),T_a)+ | c_List_Odistinct(V_ys,T_a) )).++cnf(cls_List_Odistinct__append_2,axiom,+ ( ~ c_List_Odistinct(c_append(V_xs,V_ys,T_a),T_a)+ | c_inter(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),T_a) = c_emptyset )).++cnf(cls_List_Odistinct__append_3,axiom,+ ( ~ c_List_Odistinct(V_ys,T_a)+ | ~ c_List_Odistinct(V_xs,T_a)+ | c_inter(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),T_a) != c_emptyset+ | c_List_Odistinct(c_append(V_xs,V_ys,T_a),T_a) )).++cnf(cls_List_Odistinct__drop_0,axiom,+ ( ~ c_List_Odistinct(V_xs,T_a)+ | c_List_Odistinct(c_List_Odrop(V_i,V_xs,T_a),T_a) )).++cnf(cls_List_Odistinct__remove1_0,axiom,+ ( ~ c_List_Odistinct(V_xs,T_a)+ | c_List_Odistinct(c_List_Oremove1(V_x,V_xs,T_a),T_a) )).++cnf(cls_List_Odistinct__rev_0,axiom,+ ( ~ c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a)+ | c_List_Odistinct(V_xs,T_a) )).++cnf(cls_List_Odistinct__rev_1,axiom,+ ( ~ c_List_Odistinct(V_xs,T_a)+ | c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a) )).++cnf(cls_List_Odistinct__rotate_0,axiom,+ ( ~ c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a)+ | c_List_Odistinct(V_xs,T_a) )).++cnf(cls_List_Odistinct__rotate_1,axiom,+ ( ~ c_List_Odistinct(V_xs,T_a)+ | c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a) )).++cnf(cls_List_Odistinct__sublistI_0,axiom,+ ( ~ c_List_Odistinct(V_xs,T_a)+ | c_List_Odistinct(c_List_Osublist(V_xs,V_I,T_a),T_a) )).++cnf(cls_List_Odistinct__take_0,axiom,+ ( ~ c_List_Odistinct(V_xs,T_a)+ | c_List_Odistinct(c_List_Otake(V_i,V_xs,T_a),T_a) )).++cnf(cls_List_Odistinct__upt_0,axiom,+ ( c_List_Odistinct(c_List_Oupt(V_i,V_j),tc_nat) )).++cnf(cls_List_Odrop_Odrop__Nil_0,axiom,+ ( c_List_Odrop(V_n,c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil )).++cnf(cls_List_Odrop__0_0,axiom,+ ( c_List_Odrop(c_0,V_y,T_a) = V_y )).++cnf(cls_List_Odrop__Cons__number__of_0,axiom,+ ( c_Numeral_Onumber__of(V_v,tc_nat) != c_0+ | c_List_Odrop(c_Numeral_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) )).++cnf(cls_List_Odrop__Cons__number__of_1,axiom,+ ( c_List_Odrop(c_Numeral_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(V_v,tc_nat),c_1,tc_nat),V_xs,T_a)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_0 )).++cnf(cls_List_Odrop__Suc__Cons_0,axiom,+ ( c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(V_n,V_xs,T_a) )).++cnf(cls_List_Odrop__append_0,axiom,+ ( c_List_Odrop(V_n,c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_minus(V_n,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) )).++cnf(cls_List_Odrop__drop_0,axiom,+ ( c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_plus(V_n,V_m,tc_nat),V_xs,T_a) )).++cnf(cls_List_Odrop__eq__Nil_0,axiom,+ ( c_List_Odrop(V_n,V_xs,T_a) != c_List_Olist_ONil+ | c_lessequals(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) )).++cnf(cls_List_Odrop__eq__Nil_1,axiom,+ ( ~ c_lessequals(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat)+ | c_List_Odrop(V_n,V_xs,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Odrop__replicate_0,axiom,+ ( c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_minus(V_k,V_i,tc_nat),V_x,T_a) )).++cnf(cls_List_Odrop__upt_0,axiom,+ ( c_List_Odrop(V_m,c_List_Oupt(V_i,V_j),tc_nat) = c_List_Oupt(c_plus(V_i,V_m,tc_nat),V_j) )).++cnf(cls_List_Ohd_Osimps_0,axiom,+ ( c_List_Ohd(c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = V_y )).++cnf(cls_List_Ohd__Cons__tl_0,axiom,+ ( V_y = c_List_Olist_ONil+ | c_List_Olist_OCons(c_List_Ohd(V_y,T_a),c_List_Otl(V_y,T_a),T_a) = V_y )).++cnf(cls_List_Ohd__append2_0,axiom,+ ( V_xs = c_List_Olist_ONil+ | c_List_Ohd(c_append(V_xs,V_ys,T_a),T_a) = c_List_Ohd(V_xs,T_a) )).++cnf(cls_List_Ohd__in__set_0,axiom,+ ( c_in(c_List_Ohd(V_xs,T_a),c_List_Oset(V_xs,T_a),T_a)+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Ohd__replicate_0,axiom,+ ( V_n = c_0+ | c_List_Ohd(c_List_Oreplicate(V_n,V_y,T_a),T_a) = V_y )).++cnf(cls_List_Ohd__upt_0,axiom,+ ( ~ c_less(V_y,V_j,tc_nat)+ | c_List_Ohd(c_List_Oupt(V_y,V_j),tc_nat) = V_y )).++cnf(cls_List_Oitrev_0,axiom,+ ( c_List_Oitrev(V_xs,V_x,T_a) = c_append(c_List_Orev(V_xs,T_a),V_x,T_a) )).++cnf(cls_List_Oitrev_Osimps__1_0,axiom,+ ( c_List_Oitrev(c_List_Olist_ONil,V_y,T_a__1) = V_y )).++cnf(cls_List_Oitrev_Osimps__2_0,axiom,+ ( c_List_Oitrev(c_List_Olist_OCons(V_x,V_xs,T_a__1),V_ys,T_a__1) = c_List_Oitrev(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a__1),T_a__1) )).++cnf(cls_List_Olast_Osimps_0,axiom,+ ( c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) = V_x )).++cnf(cls_List_Olast_Osimps_1,axiom,+ ( V_xs = c_List_Olist_ONil+ | c_List_Olast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a) )).++cnf(cls_List_Olast__appendL_0,axiom,+ ( c_List_Olast(c_append(V_xs,c_List_Olist_ONil,T_a),T_a) = c_List_Olast(V_xs,T_a) )).++cnf(cls_List_Olast__appendR_0,axiom,+ ( V_ys = c_List_Olist_ONil+ | c_List_Olast(c_append(V_xs,V_ys,T_a),T_a) = c_List_Olast(V_ys,T_a) )).++cnf(cls_List_Olast__drop_0,axiom,+ ( ~ c_less(V_n,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)+ | c_List_Olast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a) )).++cnf(cls_List_Olast__in__set_0,axiom,+ ( c_in(c_List_Olast(V_as,T_a),c_List_Oset(V_as,T_a),T_a)+ | V_as = c_List_Olist_ONil )).++cnf(cls_List_Olast__replicate_0,axiom,+ ( V_n = c_0+ | c_List_Olast(c_List_Oreplicate(V_n,V_y,T_a),T_a) = V_y )).++cnf(cls_List_Olast__snoc_0,axiom,+ ( c_List_Olast(c_append(V_xs,c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = V_y )).++cnf(cls_List_Olast__upt_0,axiom,+ ( ~ c_less(V_i,V_j,tc_nat)+ | c_List_Olast(c_List_Oupt(V_i,V_j),tc_nat) = c_minus(V_j,c_1,tc_nat) )).++cnf(cls_List_Olength__0__conv_0,axiom,+ ( c_Nat_Osize(V_xs,tc_List_Olist(T_a)) != c_0+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Olength__0__conv_1,axiom,+ ( c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)) = c_0 )).++cnf(cls_List_Olength__append_0,axiom,+ ( c_Nat_Osize(c_append(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = c_plus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize(V_ys,tc_List_Olist(T_a)),tc_nat) )).++cnf(cls_List_Olength__butlast_0,axiom,+ ( c_Nat_Osize(c_List_Obutlast(V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_1,tc_nat) )).++cnf(cls_List_Olength__drop_0,axiom,+ ( c_Nat_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) )).++cnf(cls_List_Olength__greater__0__conv_0,axiom,+ ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat) )).++cnf(cls_List_Olength__greater__0__conv_1,axiom,+ ( c_less(c_0,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Olength__list__update_0,axiom,+ ( c_Nat_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)) )).++cnf(cls_List_Olength__remdups__eq_0,axiom,+ ( c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) != c_Nat_Osize(V_xs,tc_List_Olist(T_a))+ | c_List_Oremdups(V_xs,T_a) = V_xs )).++cnf(cls_List_Olength__remdups__eq_1,axiom,+ ( c_List_Oremdups(V_xs,T_a) != V_xs+ | c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)) )).++cnf(cls_List_Olength__replicate_0,axiom,+ ( c_Nat_Osize(c_List_Oreplicate(V_y,V_x,T_a),tc_List_Olist(T_a)) = V_y )).++cnf(cls_List_Olength__rev_0,axiom,+ ( c_Nat_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)) )).++cnf(cls_List_Olength__rotate1_0,axiom,+ ( c_Nat_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)) )).++cnf(cls_List_Olength__rotate_0,axiom,+ ( c_Nat_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)) )).++cnf(cls_List_Olength__take_0,axiom,+ ( c_Nat_Osize(c_List_Otake(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Orderings_Omin(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) )).++cnf(cls_List_Olength__tl_0,axiom,+ ( c_Nat_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a)) = c_minus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_1,tc_nat) )).++cnf(cls_List_Olength__upt_0,axiom,+ ( c_Nat_Osize(c_List_Oupt(V_i,V_j),tc_List_Olist(tc_nat)) = c_minus(V_j,V_i,tc_nat) )).++cnf(cls_List_Olength__zip_0,axiom,+ ( c_Nat_Osize(c_List_Ozip(V_xs,V_ys,T_a,T_b),tc_List_Olist(tc_prod(T_a,T_b))) = c_Orderings_Omin(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize(V_ys,tc_List_Olist(T_b)),tc_nat) )).++cnf(cls_List_Olexn_Osimps__1_0,axiom,+ ( c_List_Olexn(V_r,c_0,T_a__1) = c_emptyset )).++cnf(cls_List_Olexord__Nil__left_0,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_ONil,V_y,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | V_y = c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(V_y,T_a),c_Main_Olexord__Nil__left__2(V_y,T_a),T_a) )).++cnf(cls_List_Olexord__Nil__left_1,axiom,+ ( c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(V_U,V_V,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_Olexord__Nil__right_0,axiom,+ ( ~ c_in(c_Pair(V_x,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_Olexord__cons__cons_0,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_OCons(V_a,V_x,T_a),c_List_Olist_OCons(V_b,V_y,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))+ | V_a = V_b )).++cnf(cls_List_Olexord__cons__cons_1,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_OCons(V_a,V_x,T_a),c_List_Olist_OCons(V_b,V_y,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))+ | c_in(c_Pair(V_x,V_y,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_Olexord__cons__cons_2,axiom,+ ( ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))+ | c_in(c_Pair(c_List_Olist_OCons(V_a,V_x,T_a),c_List_Olist_OCons(V_b,V_y,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_Olexord__cons__cons_3,axiom,+ ( ~ c_in(c_Pair(V_xa,V_y,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))+ | c_in(c_Pair(c_List_Olist_OCons(V_x,V_xa,T_a),c_List_Olist_OCons(V_x,V_y,T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olexord(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_Olist_Odistinct__1_0,axiom,+ ( c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a) )).++cnf(cls_List_Olist_Odistinct__2_0,axiom,+ ( c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil )).++cnf(cls_List_Olist_Oinject_0,axiom,+ ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)+ | V_a = V_a_H )).++cnf(cls_List_Olist_Oinject_1,axiom,+ ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)+ | V_list = V_list_H )).++cnf(cls_List_Olist_Osize__2_0,axiom,+ ( c_Nat_Osize(c_List_Olist_OCons(V_a,V_list,T_a),tc_List_Olist(T_a)) = c_plus(c_Nat_Osize(V_list,tc_List_Olist(T_a)),c_Suc(c_0),tc_nat) )).++cnf(cls_List_Olist__inter_Osimps__1_0,axiom,+ ( c_List_Olist__inter(c_List_Olist_ONil,V_bs,T_a__1) = c_List_Olist_ONil )).++cnf(cls_List_Olist__inter_Osimps__2_0,axiom,+ ( ~ c_in(V_a,c_List_Oset(V_bs,T_a__1),T_a__1)+ | c_List_Olist__inter(c_List_Olist_OCons(V_a,V_as,T_a__1),V_bs,T_a__1) = c_List_Olist_OCons(V_a,c_List_Olist__inter(V_as,V_bs,T_a__1),T_a__1) )).++cnf(cls_List_Olist__inter_Osimps__2_1,axiom,+ ( c_in(V_a,c_List_Oset(V_bs,T_a__1),T_a__1)+ | c_List_Olist__inter(c_List_Olist_OCons(V_a,V_as,T_a__1),V_bs,T_a__1) = c_List_Olist__inter(V_as,V_bs,T_a__1) )).++cnf(cls_List_Olist__update_Osimps__1_0,axiom,+ ( c_List_Olist__update(c_List_Olist_ONil,V_i,V_v,T_a__1) = c_List_Olist_ONil )).++cnf(cls_List_Olist__update__beyond_0,axiom,+ ( ~ c_lessequals(c_Nat_Osize(V_y,tc_List_Olist(T_a)),V_i,tc_nat)+ | c_List_Olist__update(V_y,V_i,V_x,T_a) = V_y )).++cnf(cls_List_Olist__update__id_0,axiom,+ ( ~ c_less(V_i,c_Nat_Osize(V_y,tc_List_Olist(T_a)),tc_nat)+ | c_List_Olist__update(V_y,V_i,c_List_Onth(V_y,V_i,T_a),T_a) = V_y )).++cnf(cls_List_Olist__update__length_0,axiom,+ ( c_List_Olist__update(c_append(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_append(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) )).++cnf(cls_List_Olist__update__overwrite_0,axiom,+ ( ~ c_less(V_i,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)+ | c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a) )).++cnf(cls_List_Olistrel__Nil_0,axiom,+ ( c_Relation_OImage(c_List_Olistrel(V_r,T_a),c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a)),tc_List_Olist(T_a),tc_List_Olist(T_a)) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a)) )).++cnf(cls_List_Olists__Int__eq_0,axiom,+ ( c_List_Olists(c_inter(V_A,V_B,T_a),T_a) = c_inter(c_List_Olists(V_A,T_a),c_List_Olists(V_B,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_Olists__UNIV_0,axiom,+ ( c_List_Olists(c_UNIV,T_a) = c_UNIV )).++cnf(cls_List_Olistset_Osimps__1_0,axiom,+ ( c_List_Olistset(c_List_Olist_ONil,T_a__1) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(T_a__1)) )).++cnf(cls_List_Olistset_Osimps__2_0,axiom,+ ( c_List_Olistset(c_List_Olist_OCons(V_A,V_As,tc_set(T_a__1)),T_a__1) = c_List_Oset__Cons(V_A,c_List_Olistset(V_As,T_a__1),T_a__1) )).++cnf(cls_List_Onibble_Ocases__10_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble9,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__11_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_y,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleA,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__12_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_y,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleB,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__13_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_y,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleC,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__14_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_y,V_f15,V_f16,c_List_Onibble_ONibbleD,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__15_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_y,V_f16,c_List_Onibble_ONibbleE,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__16_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_y,c_List_Onibble_ONibbleF,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__1_0,axiom,+ ( c_List_Onibble_Onibble__case(V_y,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble0,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__2_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_y,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble1,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__3_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_y,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble2,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__4_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_y,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble3,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__5_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_y,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble4,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__6_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_y,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble5,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__7_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_y,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble6,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__8_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_y,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble7,T_a) = V_y )).++cnf(cls_List_Onibble_Ocases__9_0,axiom,+ ( c_List_Onibble_Onibble__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble8,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__10_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_y,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble9,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__11_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_y,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleA,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__12_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_y,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleB,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__13_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_y,V_f14,V_f15,V_f16,c_List_Onibble_ONibbleC,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__14_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_y,V_f15,V_f16,c_List_Onibble_ONibbleD,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__15_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_y,V_f16,c_List_Onibble_ONibbleE,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__16_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_y,c_List_Onibble_ONibbleF,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__1_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_y,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble0,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__2_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_y,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble1,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__3_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_y,V_f4,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble2,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__4_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_y,V_f5,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble3,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__5_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_y,V_f6,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble4,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__6_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_y,V_f7,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble5,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__7_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_y,V_f8,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble6,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__8_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_y,V_f9,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble7,T_a) = V_y )).++cnf(cls_List_Onibble_Orecs__9_0,axiom,+ ( c_List_Onibble_Onibble__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_y,V_f10,V_f11,V_f12,V_f13,V_f14,V_f15,V_f16,c_List_Onibble_ONibble8,T_a) = V_y )).++cnf(cls_List_Onibble_Osize__10_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__11_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__12_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__13_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__14_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__15_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__16_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__1_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__2_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__3_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__4_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__5_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__6_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__7_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__8_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onibble_Osize__9_0,axiom,+ ( c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) = c_0 )).++cnf(cls_List_Onot__Cons__self_0,axiom,+ ( V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) )).++cnf(cls_List_Onotin__set__remove1_0,axiom,+ ( ~ c_in(V_x,c_List_Oset(c_List_Oremove1(V_y,V_xs,T_a),T_a),T_a)+ | c_in(V_x,c_List_Oset(V_xs,T_a),T_a) )).++cnf(cls_List_Onotin__set__sublistI_0,axiom,+ ( ~ c_in(V_x,c_List_Oset(c_List_Osublist(V_xs,V_I,T_a),T_a),T_a)+ | c_in(V_x,c_List_Oset(V_xs,T_a),T_a) )).++cnf(cls_List_Onth__Cons__0_0,axiom,+ ( c_List_Onth(c_List_Olist_OCons(V_y,V_xs,T_a),c_0,T_a) = V_y )).++cnf(cls_List_Onth__Cons__Suc_0,axiom,+ ( c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_n),T_a) = c_List_Onth(V_xs,V_n,T_a) )).++cnf(cls_List_Onth__Cons__number__of_0,axiom,+ ( c_Numeral_Onumber__of(V_v,tc_nat) != c_0+ | c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Numeral_Onumber__of(V_v,tc_nat),T_a) = V_x )).++cnf(cls_List_Onth__Cons__number__of_1,axiom,+ ( c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Numeral_Onumber__of(V_v,tc_nat),T_a) = c_List_Onth(V_xs,c_minus(c_Numeral_Onumber__of(V_v,tc_nat),c_1,tc_nat),T_a)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_0 )).++cnf(cls_List_Onth__append__length_0,axiom,+ ( c_List_Onth(c_append(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),T_a) = V_y )).++cnf(cls_List_Onth__append__length__plus_0,axiom,+ ( c_List_Onth(c_append(V_xs,V_ys,T_a),c_plus(c_Nat_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat),T_a) = c_List_Onth(V_ys,V_n,T_a) )).++cnf(cls_List_Onth__drop_0,axiom,+ ( ~ c_lessequals(c_plus(V_n,V_i,tc_nat),c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)+ | c_List_Onth(c_List_Odrop(V_n,V_xs,T_a),V_i,T_a) = c_List_Onth(V_xs,c_plus(V_n,V_i,tc_nat),T_a) )).++cnf(cls_List_Onth__list__update__eq_0,axiom,+ ( ~ c_less(V_i,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)+ | c_List_Onth(c_List_Olist__update(V_xs,V_i,V_y,T_a),V_i,T_a) = V_y )).++cnf(cls_List_Onth__list__update__neq_0,axiom,+ ( V_i = V_j+ | c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_j,T_a) = c_List_Onth(V_xs,V_j,T_a) )).++cnf(cls_List_Onth__mem_0,axiom,+ ( ~ c_less(V_n,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)+ | c_in(c_List_Onth(V_xs,V_n,T_a),c_List_Oset(V_xs,T_a),T_a) )).++cnf(cls_List_Onth__replicate_0,axiom,+ ( ~ c_less(V_i,V_n,tc_nat)+ | c_List_Onth(c_List_Oreplicate(V_n,V_y,T_a),V_i,T_a) = V_y )).++cnf(cls_List_Onth__take_0,axiom,+ ( ~ c_less(V_i,V_n,tc_nat)+ | c_List_Onth(c_List_Otake(V_n,V_xs,T_a),V_i,T_a) = c_List_Onth(V_xs,V_i,T_a) )).++cnf(cls_List_Onth__upt_0,axiom,+ ( ~ c_less(c_plus(V_i,V_k,tc_nat),V_j,tc_nat)+ | c_List_Onth(c_List_Oupt(V_i,V_j),V_k,tc_nat) = c_plus(V_i,V_k,tc_nat) )).++cnf(cls_List_Onth__zip_0,axiom,+ ( ~ c_less(V_i,c_Nat_Osize(V_ys,tc_List_Olist(T_b)),tc_nat)+ | ~ c_less(V_i,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)+ | c_List_Onth(c_List_Ozip(V_xs,V_ys,T_a,T_b),V_i,tc_prod(T_a,T_b)) = c_Pair(c_List_Onth(V_xs,V_i,T_a),c_List_Onth(V_ys,V_i,T_b),T_a,T_b) )).++cnf(cls_List_Onull_Osimps__1_0,axiom,+ ( c_List_Onull(c_List_Olist_ONil,T_a__1) )).++cnf(cls_List_Onull_Osimps__2_0,axiom,+ ( ~ c_List_Onull(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) )).++cnf(cls_List_Oop_A_64_Oappend__Cons_0,axiom,+ ( c_append(c_List_Olist_OCons(V_x,V_xs,T_a__1),V_ys,T_a__1) = c_List_Olist_OCons(V_x,c_append(V_xs,V_ys,T_a__1),T_a__1) )).++cnf(cls_List_Oop_Amem_Osimps__1_0,axiom,+ ( ~ c_List_Oop_Amem(V_x,c_List_Olist_ONil,T_a__1) )).++cnf(cls_List_Oop_Amem_Osimps__2_0,axiom,+ ( ~ c_List_Oop_Amem(V_x,c_List_Olist_OCons(V_y,V_ys,T_a__1),T_a__1)+ | c_List_Oop_Amem(V_x,V_ys,T_a__1)+ | V_y = V_x )).++cnf(cls_List_Oop_Amem_Osimps__2_1,axiom,+ ( c_List_Oop_Amem(V_x,c_List_Olist_OCons(V_x,V_ys,T_a),T_a) )).++cnf(cls_List_Oop_Amem_Osimps__2_2,axiom,+ ( ~ c_List_Oop_Amem(V_x,V_ys,T_a__1)+ | c_List_Oop_Amem(V_x,c_List_Olist_OCons(V_y,V_ys,T_a__1),T_a__1) )).++cnf(cls_List_Oremdups_Osimps__2_0,axiom,+ ( ~ c_in(V_x,c_List_Oset(V_xs,T_a__1),T_a__1)+ | c_List_Oremdups(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) = c_List_Oremdups(V_xs,T_a__1) )).++cnf(cls_List_Oremdups_Osimps__2_1,axiom,+ ( c_in(V_x,c_List_Oset(V_xs,T_a__1),T_a__1)+ | c_List_Oremdups(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) = c_List_Olist_OCons(V_x,c_List_Oremdups(V_xs,T_a__1),T_a__1) )).++cnf(cls_List_Oremdups__eq__nil__iff_0,axiom,+ ( c_List_Oremdups(V_x,T_a) != c_List_Olist_ONil+ | V_x = c_List_Olist_ONil )).++cnf(cls_List_Oremdups__eq__nil__iff_1,axiom,+ ( c_List_Oremdups(c_List_Olist_ONil,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Oremdups__eq__nil__right__iff_0,axiom,+ ( c_List_Olist_ONil != c_List_Oremdups(V_x,T_a)+ | V_x = c_List_Olist_ONil )).++cnf(cls_List_Oremdups__eq__nil__right__iff_1,axiom,+ ( c_List_Olist_ONil = c_List_Oremdups(c_List_Olist_ONil,T_a) )).++cnf(cls_List_Oremove1_Osimps__1_0,axiom,+ ( c_List_Oremove1(V_x,c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil )).++cnf(cls_List_Oremove1_Osimps__2_0,axiom,+ ( c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs )).++cnf(cls_List_Oremove1_Osimps__2_1,axiom,+ ( V_x = V_y+ | c_List_Oremove1(V_x,c_List_Olist_OCons(V_y,V_xs,T_a__1),T_a__1) = c_List_Olist_OCons(V_y,c_List_Oremove1(V_x,V_xs,T_a__1),T_a__1) )).++cnf(cls_List_Oreplicate_Oreplicate__0_0,axiom,+ ( c_List_Oreplicate(c_0,V_x,T_a__1) = c_List_Olist_ONil )).++cnf(cls_List_Oreplicate_Oreplicate__Suc_0,axiom,+ ( c_List_Oreplicate(c_Suc(V_n),V_x,T_a__1) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a__1),T_a__1) )).++cnf(cls_List_Orev_Osimps__2_0,axiom,+ ( c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) = c_append(c_List_Orev(V_xs,T_a__1),c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a__1),T_a__1) )).++cnf(cls_List_Orev__append_0,axiom,+ ( c_List_Orev(c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) )).++cnf(cls_List_Orev__eq__Cons__iff_0,axiom,+ ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)+ | V_xs = c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a) )).++cnf(cls_List_Orev__eq__Cons__iff_1,axiom,+ ( c_List_Orev(c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) )).++cnf(cls_List_Orev__is__Nil__conv_0,axiom,+ ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Orev__is__Nil__conv_1,axiom,+ ( c_List_Orev(c_List_Olist_ONil,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Orev__is__rev__conv_0,axiom,+ ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)+ | V_xs = V_ys )).++cnf(cls_List_Orev__replicate_0,axiom,+ ( c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) )).++cnf(cls_List_Orev__rev__ident_0,axiom,+ ( c_List_Orev(c_List_Orev(V_y,T_a),T_a) = V_y )).++cnf(cls_List_Orev__singleton__conv_0,axiom,+ ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a)+ | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a) )).++cnf(cls_List_Orev__singleton__conv_1,axiom,+ ( c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a) )).++cnf(cls_List_Orotate1__is__Nil__conv_0,axiom,+ ( c_List_Orotate1(V_xs,T_a) != c_List_Olist_ONil+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Orotate1__is__Nil__conv_1,axiom,+ ( c_List_Orotate1(c_List_Olist_ONil,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Orotate1__length01_0,axiom,+ ( ~ c_lessequals(c_Nat_Osize(V_y,tc_List_Olist(T_a)),c_1,tc_nat)+ | c_List_Orotate1(V_y,T_a) = V_y )).++cnf(cls_List_Orotate__Suc_0,axiom,+ ( c_List_Orotate(c_Suc(V_n),V_xs,T_a) = c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a) )).++cnf(cls_List_Orotate__id_0,axiom,+ ( c_Divides_Oop_Amod(V_n,c_Nat_Osize(V_y,tc_List_Olist(T_a)),tc_nat) != c_0+ | c_List_Orotate(V_n,V_y,T_a) = V_y )).++cnf(cls_List_Orotate__is__Nil__conv_0,axiom,+ ( c_List_Orotate(V_n,V_xs,T_a) != c_List_Olist_ONil+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Orotate__is__Nil__conv_1,axiom,+ ( c_List_Orotate(V_n,c_List_Olist_ONil,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Orotate__length01_0,axiom,+ ( ~ c_lessequals(c_Nat_Osize(V_y,tc_List_Olist(T_a)),c_1,tc_nat)+ | c_List_Orotate(V_n,V_y,T_a) = V_y )).++cnf(cls_List_Osame__append__eq_0,axiom,+ ( c_append(V_xs,V_ys,T_a) != c_append(V_xs,V_zs,T_a)+ | V_ys = V_zs )).++cnf(cls_List_Oself__append__conv2_0,axiom,+ ( V_ys != c_append(V_xs,V_ys,T_a)+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Oself__append__conv2_1,axiom,+ ( V_ys = c_append(c_List_Olist_ONil,V_ys,T_a) )).++cnf(cls_List_Oself__append__conv_0,axiom,+ ( V_xs != c_append(V_xs,V_ys,T_a)+ | V_ys = c_List_Olist_ONil )).++cnf(cls_List_Oself__append__conv_1,axiom,+ ( V_xs = c_append(V_xs,c_List_Olist_ONil,T_a) )).++cnf(cls_List_Oset_Osimps__2_0,axiom,+ ( c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a__1),T_a__1) = c_insert(V_x,c_List_Oset(V_xs,T_a__1),T_a__1) )).++cnf(cls_List_Oset__append_0,axiom,+ ( c_List_Oset(c_append(V_xs,V_ys,T_a),T_a) = c_union(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),T_a) )).++cnf(cls_List_Oset__empty2_0,axiom,+ ( c_emptyset != c_List_Oset(V_xs,T_a)+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Oset__empty2_1,axiom,+ ( c_emptyset = c_List_Oset(c_List_Olist_ONil,T_a) )).++cnf(cls_List_Oset__empty_0,axiom,+ ( c_List_Oset(V_xs,T_a) != c_emptyset+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Oset__empty_1,axiom,+ ( c_List_Oset(c_List_Olist_ONil,T_a) = c_emptyset )).++cnf(cls_List_Oset__remdups_0,axiom,+ ( c_List_Oset(c_List_Oremdups(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) )).++cnf(cls_List_Oset__remove1__eq_0,axiom,+ ( ~ c_List_Odistinct(V_xs,T_a)+ | c_List_Oset(c_List_Oremove1(V_x,V_xs,T_a),T_a) = c_minus(c_List_Oset(V_xs,T_a),c_insert(V_x,c_emptyset,T_a),tc_set(T_a)) )).++cnf(cls_List_Oset__replicate_0,axiom,+ ( V_n = c_0+ | c_List_Oset(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_insert(V_x,c_emptyset,T_a) )).++cnf(cls_List_Oset__rev_0,axiom,+ ( c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) )).++cnf(cls_List_Oset__rotate1_0,axiom,+ ( c_List_Oset(c_List_Orotate1(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) )).++cnf(cls_List_Oset__rotate_0,axiom,+ ( c_List_Oset(c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) )).++cnf(cls_List_Osingleton__rev__conv_0,axiom,+ ( c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a) != c_List_Orev(V_xs,T_a)+ | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a) )).++cnf(cls_List_Osingleton__rev__conv_1,axiom,+ ( c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) )).++cnf(cls_List_Osublist__empty_0,axiom,+ ( c_List_Osublist(V_xs,c_emptyset,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Osublist__nil_0,axiom,+ ( c_List_Osublist(c_List_Olist_ONil,V_A,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Osublist__singleton_0,axiom,+ ( ~ c_in(c_0,V_A,tc_nat)+ | c_List_Osublist(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),V_A,T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a) )).++cnf(cls_List_Osublist__singleton_1,axiom,+ ( c_in(c_0,V_A,tc_nat)+ | c_List_Osublist(c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),V_A,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Osublist__upt__eq__take_0,axiom,+ ( c_List_Osublist(V_l,c_SetInterval_OlessThan(V_n,tc_nat),T_a) = c_List_Otake(V_n,V_l,T_a) )).++cnf(cls_List_Otake__Cons__number__of_0,axiom,+ ( c_Numeral_Onumber__of(V_v,tc_nat) != c_0+ | c_List_Otake(c_Numeral_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil )).++cnf(cls_List_Otake__Cons__number__of_1,axiom,+ ( c_List_Otake(c_Numeral_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(c_minus(c_Numeral_Onumber__of(V_v,tc_nat),c_1,tc_nat),V_xs,T_a),T_a)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_0 )).++cnf(cls_List_Otake__Suc__Cons_0,axiom,+ ( c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a) )).++cnf(cls_List_Otake__all_0,axiom,+ ( ~ c_lessequals(c_Nat_Osize(V_y,tc_List_Olist(T_a)),V_n,tc_nat)+ | c_List_Otake(V_n,V_y,T_a) = V_y )).++cnf(cls_List_Otake__append_0,axiom,+ ( c_List_Otake(V_n,c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_minus(V_n,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) )).++cnf(cls_List_Otake__eq__Nil_0,axiom,+ ( c_List_Otake(V_n,V_xs,T_a) != c_List_Olist_ONil+ | V_n = c_0+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Otake__eq__Nil_1,axiom,+ ( c_List_Otake(c_0,V_xs,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Otake__eq__Nil_2,axiom,+ ( c_List_Otake(V_n,c_List_Olist_ONil,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Otake__replicate_0,axiom,+ ( c_List_Otake(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_Orderings_Omin(V_i,V_k,tc_nat),V_x,T_a) )).++cnf(cls_List_Otake__take_0,axiom,+ ( c_List_Otake(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_Orderings_Omin(V_n,V_m,tc_nat),V_xs,T_a) )).++cnf(cls_List_Otake__upt_0,axiom,+ ( ~ c_lessequals(c_plus(V_i,V_m,tc_nat),V_n,tc_nat)+ | c_List_Otake(V_m,c_List_Oupt(V_i,V_n),tc_nat) = c_List_Oupt(V_i,c_plus(V_i,V_m,tc_nat)) )).++cnf(cls_List_Otl_Osimps__1_0,axiom,+ ( c_List_Otl(c_List_Olist_ONil,T_a__1) = c_List_Olist_ONil )).++cnf(cls_List_Otl_Osimps__2_0,axiom,+ ( c_List_Otl(c_List_Olist_OCons(V_x,V_y,T_a__1),T_a__1) = V_y )).++cnf(cls_List_Otl__append2_0,axiom,+ ( V_xs = c_List_Olist_ONil+ | c_List_Otl(c_append(V_xs,V_ys,T_a),T_a) = c_append(c_List_Otl(V_xs,T_a),V_ys,T_a) )).++cnf(cls_List_Otl__replicate_0,axiom,+ ( V_n = c_0+ | c_List_Otl(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(c_minus(V_n,c_1,tc_nat),V_x,T_a) )).++cnf(cls_List_Oupt_Oupt__Suc_0,axiom,+ ( ~ c_lessequals(V_i,V_j,tc_nat)+ | c_List_Oupt(V_i,c_Suc(V_j)) = c_append(c_List_Oupt(V_i,V_j),c_List_Olist_OCons(V_j,c_List_Olist_ONil,tc_nat),tc_nat) )).++cnf(cls_List_Oupt_Oupt__Suc_1,axiom,+ ( c_lessequals(V_i,V_j,tc_nat)+ | c_List_Oupt(V_i,c_Suc(V_j)) = c_List_Olist_ONil )).++cnf(cls_List_Oupt__eq__Nil__conv_0,axiom,+ ( c_List_Oupt(V_i,V_j) != c_List_Olist_ONil+ | c_lessequals(V_j,V_i,tc_nat)+ | V_j = c_0 )).++cnf(cls_List_Oupt__eq__Nil__conv_1,axiom,+ ( c_List_Oupt(V_i,c_0) = c_List_Olist_ONil )).++cnf(cls_List_Oupt__eq__Nil__conv_2,axiom,+ ( ~ c_lessequals(V_j,V_i,tc_nat)+ | c_List_Oupt(V_i,V_j) = c_List_Olist_ONil )).++cnf(cls_List_Ox2_A_D_At1_A_61_At1_A_61_61_AFalse_0,axiom,+ ( c_List_Olist_OCons(V_x,V_t,T_a) != V_t )).++cnf(cls_List_Ozip_Osimps__1_0,axiom,+ ( c_List_Ozip(V_xs,c_List_Olist_ONil,T_a__1,T_b__1) = c_List_Olist_ONil )).++cnf(cls_List_Ozip__Cons__Cons_0,axiom,+ ( c_List_Ozip(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) = c_List_Olist_OCons(c_Pair(V_x,V_y,T_a,T_b),c_List_Ozip(V_xs,V_ys,T_a,T_b),tc_prod(T_a,T_b)) )).++cnf(cls_List_Ozip__Nil_0,axiom,+ ( c_List_Ozip(c_List_Olist_ONil,V_ys,T_a,T_b) = c_List_Olist_ONil )).++cnf(cls_List_Ozip__append_0,axiom,+ ( c_Nat_Osize(V_ys,tc_List_Olist(T_a)) != c_Nat_Osize(V_vs,tc_List_Olist(T_b))+ | c_Nat_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize(V_us,tc_List_Olist(T_b))+ | c_List_Ozip(c_append(V_xs,V_ys,T_a),c_append(V_us,V_vs,T_b),T_a,T_b) = c_append(c_List_Ozip(V_xs,V_us,T_a,T_b),c_List_Ozip(V_ys,V_vs,T_a,T_b),tc_prod(T_a,T_b)) )).++cnf(cls_List_Ozip__replicate_0,axiom,+ ( c_List_Ozip(c_List_Oreplicate(V_i,V_x,T_a),c_List_Oreplicate(V_j,V_y,T_b),T_a,T_b) = c_List_Oreplicate(c_Orderings_Omin(V_i,V_j,tc_nat),c_Pair(V_x,V_y,T_a,T_b),tc_prod(T_a,T_b)) )).++cnf(cls_Map_Omap__of__zip__is__None_0,axiom,+ ( ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)+ | c_Map_Omap__of(c_List_Ozip(V_xs,V_ys,T_a,T_b),V_x,T_a,T_b) != c_Datatype_Ooption_ONone+ | c_Nat_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize(V_ys,tc_List_Olist(T_b)) )).++cnf(cls_Map_Omap__of__zip__is__None_1,axiom,+ ( c_Nat_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize(V_ys,tc_List_Olist(T_b))+ | c_in(V_x,c_List_Oset(V_xs,T_a),T_a)+ | c_Map_Omap__of(c_List_Ozip(V_xs,V_ys,T_a,T_b),V_x,T_a,T_b) = c_Datatype_Ooption_ONone )).++cnf(cls_NatArith_Oadd__diff__assoc2_0,axiom,+ ( ~ c_lessequals(V_k,V_j,tc_nat)+ | c_plus(c_minus(V_j,V_k,tc_nat),V_i,tc_nat) = c_minus(c_plus(V_j,V_i,tc_nat),V_k,tc_nat) )).++cnf(cls_NatArith_Oadd__diff__assoc_0,axiom,+ ( ~ c_lessequals(V_k,V_j,tc_nat)+ | c_plus(V_i,c_minus(V_j,V_k,tc_nat),tc_nat) = c_minus(c_plus(V_i,V_j,tc_nat),V_k,tc_nat) )).++cnf(cls_NatArith_Odiff__Suc__diff__eq1_0,axiom,+ ( ~ c_lessequals(V_k,V_j,tc_nat)+ | c_minus(V_m,c_Suc(c_minus(V_j,V_k,tc_nat)),tc_nat) = c_minus(c_plus(V_m,V_k,tc_nat),c_Suc(V_j),tc_nat) )).++cnf(cls_NatArith_Odiff__Suc__diff__eq2_0,axiom,+ ( ~ c_lessequals(V_k,V_j,tc_nat)+ | c_minus(c_Suc(c_minus(V_j,V_k,tc_nat)),V_m,tc_nat) = c_minus(c_Suc(V_j),c_plus(V_k,V_m,tc_nat),tc_nat) )).++cnf(cls_NatArith_Odiff__diff__cancel_0,axiom,+ ( ~ c_lessequals(V_y,V_n,tc_nat)+ | c_minus(V_n,c_minus(V_n,V_y,tc_nat),tc_nat) = V_y )).++cnf(cls_NatArith_Odiff__diff__right_0,axiom,+ ( ~ c_lessequals(V_k,V_j,tc_nat)+ | c_minus(V_i,c_minus(V_j,V_k,tc_nat),tc_nat) = c_minus(c_plus(V_i,V_k,tc_nat),V_j,tc_nat) )).++cnf(cls_NatArith_Odiff__less_0,axiom,+ ( ~ c_less(c_0,V_m,tc_nat)+ | ~ c_less(c_0,V_n,tc_nat)+ | c_less(c_minus(V_m,V_n,tc_nat),V_m,tc_nat) )).++cnf(cls_NatArith_Oof__nat_Oof__nat__Suc_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T_a__1)+ | c_NatArith_Oof__nat(c_Suc(V_m),T_a__1) = c_plus(c_NatArith_Oof__nat(V_m,T_a__1),c_1,T_a__1) )).++cnf(cls_NatArith_Oof__nat__0__eq__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | c_0 != c_NatArith_Oof__nat(V_n,T_a)+ | c_0 = V_n )).++cnf(cls_NatArith_Oof__nat__0__eq__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | c_0 = c_NatArith_Oof__nat(c_0,T_a) )).++cnf(cls_NatArith_Oof__nat__0__le__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | c_lessequals(c_0,c_NatArith_Oof__nat(V_n,T_a),T_a) )).++cnf(cls_NatArith_Oof__nat__0__less__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_less(c_0,c_NatArith_Oof__nat(V_n,T_a),T_a)+ | c_less(c_0,V_n,tc_nat) )).++cnf(cls_NatArith_Oof__nat__0__less__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_less(c_0,V_n,tc_nat)+ | c_less(c_0,c_NatArith_Oof__nat(V_n,T_a),T_a) )).++cnf(cls_NatArith_Oof__nat__1_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T_a)+ | c_NatArith_Oof__nat(c_1,T_a) = c_1 )).++cnf(cls_NatArith_Oof__nat__add_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T_a)+ | c_NatArith_Oof__nat(c_plus(V_m,V_n,tc_nat),T_a) = c_plus(c_NatArith_Oof__nat(V_m,T_a),c_NatArith_Oof__nat(V_n,T_a),T_a) )).++cnf(cls_NatArith_Oof__nat__diff_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | ~ c_lessequals(V_n,V_m,tc_nat)+ | c_NatArith_Oof__nat(c_minus(V_m,V_n,tc_nat),T_a) = c_minus(c_NatArith_Oof__nat(V_m,T_a),c_NatArith_Oof__nat(V_n,T_a),T_a) )).++cnf(cls_NatArith_Oof__nat__eq__0__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | c_NatArith_Oof__nat(V_m,T_a) != c_0+ | V_m = c_0 )).++cnf(cls_NatArith_Oof__nat__eq__0__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | c_NatArith_Oof__nat(c_0,T_a) = c_0 )).++cnf(cls_NatArith_Oof__nat__eq__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | c_NatArith_Oof__nat(V_m,T_a) != c_NatArith_Oof__nat(V_n,T_a)+ | V_m = V_n )).++cnf(cls_NatArith_Oof__nat__le__0__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_lessequals(c_NatArith_Oof__nat(V_m,T_a),c_0,T_a)+ | V_m = c_0 )).++cnf(cls_NatArith_Oof__nat__le__0__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | c_lessequals(c_NatArith_Oof__nat(c_0,T_a),c_0,T_a) )).++cnf(cls_NatArith_Oof__nat__le__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_lessequals(c_NatArith_Oof__nat(V_m,T_a),c_NatArith_Oof__nat(V_n,T_a),T_a)+ | c_lessequals(V_m,V_n,tc_nat) )).++cnf(cls_NatArith_Oof__nat__le__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_lessequals(V_m,V_n,tc_nat)+ | c_lessequals(c_NatArith_Oof__nat(V_m,T_a),c_NatArith_Oof__nat(V_n,T_a),T_a) )).++cnf(cls_NatArith_Oof__nat__less__0__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_less(c_NatArith_Oof__nat(V_m,T_a),c_0,T_a) )).++cnf(cls_NatArith_Oof__nat__less__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_less(c_NatArith_Oof__nat(V_m,T_a),c_NatArith_Oof__nat(V_n,T_a),T_a)+ | c_less(V_m,V_n,tc_nat) )).++cnf(cls_NatArith_Oof__nat__less__iff_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_less(V_m,V_n,tc_nat)+ | c_less(c_NatArith_Oof__nat(V_m,T_a),c_NatArith_Oof__nat(V_n,T_a),T_a) )).++cnf(cls_NatArith_Oof__nat__mult_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T_a)+ | c_NatArith_Oof__nat(c_times(V_m,V_n,tc_nat),T_a) = c_times(c_NatArith_Oof__nat(V_m,T_a),c_NatArith_Oof__nat(V_n,T_a),T_a) )).++cnf(cls_NatBin_OSuc__nat__number__of_0,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Suc(c_Numeral_Onumber__of(V_v,tc_nat)) = c_1 )).++cnf(cls_NatBin_OSuc__nat__number__of_1,axiom,+ ( c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Suc(c_Numeral_Onumber__of(V_v,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(V_v),tc_nat) )).++cnf(cls_NatBin_Oadd__nat__number__of_0,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_plus(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_Numeral_Onumber__of(V_v_H,tc_nat) )).++cnf(cls_NatBin_Oadd__nat__number__of_1,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_plus(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_Numeral_Onumber__of(V_v,tc_nat) )).++cnf(cls_NatBin_Oadd__nat__number__of_2,axiom,+ ( c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_plus(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,V_v_H),tc_nat) )).++cnf(cls_NatBin_Odiv__nat__number__of_0,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_div(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_0 )).++cnf(cls_NatBin_Odiv__nat__number__of_1,axiom,+ ( c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_div(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)) )).++cnf(cls_NatBin_Odvd__eq__mod__eq__0__number__of_0,axiom,+ ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(V_x,tc_nat),c_Numeral_Onumber__of(V_y,tc_nat),tc_nat)+ | c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_y,tc_nat),c_Numeral_Onumber__of(V_x,tc_nat),tc_nat) = c_0 )).++cnf(cls_NatBin_Odvd__eq__mod__eq__0__number__of_1,axiom,+ ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_y,tc_nat),c_Numeral_Onumber__of(V_x,tc_nat),tc_nat) != c_0+ | c_Divides_Oop_Advd(c_Numeral_Onumber__of(V_x,tc_nat),c_Numeral_Onumber__of(V_y,tc_nat),tc_nat) )).++cnf(cls_NatBin_Oeq__0__number__of_0,axiom,+ ( c_0 != c_Numeral_Onumber__of(V_v,tc_nat)+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_NatBin_Oeq__0__number__of_1,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_0 = c_Numeral_Onumber__of(V_v,tc_nat) )).++cnf(cls_NatBin_Oeq__0__number__of_2,axiom,+ ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_0 = c_Numeral_Onumber__of(V_v,tc_nat) )).++cnf(cls_NatBin_Oeq__nat__number__of_0,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) != c_Numeral_Onumber__of(V_v_H,tc_nat)+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_NatBin_Oeq__nat__number__of_1,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) != c_Numeral_Onumber__of(V_v_H,tc_nat)+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_NatBin_Oeq__nat__number__of_10,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_Numeral_Onumber__of(V_v_H,tc_nat) )).++cnf(cls_NatBin_Oeq__nat__number__of_11,axiom,+ ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_Numeral_Onumber__of(V_v_H,tc_nat) )).++cnf(cls_NatBin_Oeq__nat__number__of_12,axiom,+ ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(V_v_H)),tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_Numeral_Onumber__of(V_v_H,tc_nat) )).++cnf(cls_NatBin_Oeq__nat__number__of_2,axiom,+ ( c_Numeral_Onumber__of(V_v,tc_nat) != c_Numeral_Onumber__of(V_v_H,tc_nat)+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(V_v_H)),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_NatBin_Oeq__nat__number__of_3,axiom,+ ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(V_v_H)),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_Numeral_Onumber__of(V_v_H,tc_nat) )).++cnf(cls_NatBin_Oeq__nat__number__of_4,axiom,+ ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_Numeral_Onumber__of(V_v_H,tc_nat) )).++cnf(cls_NatBin_Oeq__nat__number__of_5,axiom,+ ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(V_v_H)),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_Numeral_Onumber__of(V_v_H,tc_nat) )).++cnf(cls_NatBin_Oeq__nat__number__of_6,axiom,+ ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_Numeral_Onumber__of(V_v_H,tc_nat) )).++cnf(cls_NatBin_Oeq__nat__number__of_7,axiom,+ ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(V_v_H)),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_Numeral_Onumber__of(V_v_H,tc_nat) )).++cnf(cls_NatBin_Oeq__nat__number__of_8,axiom,+ ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_Numeral_Onumber__of(V_v_H,tc_nat) )).++cnf(cls_NatBin_Oeq__nat__number__of_9,axiom,+ ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(V_v_H)),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_Numeral_Onumber__of(V_v_H,tc_nat) )).++cnf(cls_NatBin_Oeq__number__of__0_0,axiom,+ ( c_Numeral_Onumber__of(V_v,tc_nat) != c_0+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_NatBin_Oeq__number__of__0_1,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_0 )).++cnf(cls_NatBin_Oeq__number__of__0_2,axiom,+ ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Numeral_Onumber__of(V_v,tc_nat) = c_0 )).++cnf(cls_NatBin_Oint_A_Im2_A_L_An2_J_A_61_61_Aint_Am2_A_L_Aint_An2_0,axiom,+ ( c_IntDef_Oint(c_plus(V_m,V_n,tc_nat)) = c_plus(c_IntDef_Oint(V_m),c_IntDef_Oint(V_n),tc_IntDef_Oint) )).++cnf(cls_NatBin_Oint__nat__number__of_0,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oint(c_Numeral_Onumber__of(V_v,tc_nat)) = c_0 )).++cnf(cls_NatBin_Oint__nat__number__of_1,axiom,+ ( c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oint(c_Numeral_Onumber__of(V_v,tc_nat)) = c_Numeral_Onumber__of(V_v,tc_IntDef_Oint) )).++cnf(cls_NatBin_Oless__0__number__of_0,axiom,+ ( ~ c_less(c_0,c_Numeral_Onumber__of(V_v,tc_nat),tc_nat)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(V_v),tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_NatBin_Oless__0__number__of_1,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(V_v),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_less(c_0,c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) )).++cnf(cls_NatBin_Oless__nat__number__of_0,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_less(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(V_v_H),tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_NatBin_Oless__nat__number__of_1,axiom,+ ( ~ c_less(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(V_v_H)),tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_NatBin_Oless__nat__number__of_2,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(V_v_H)),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_less(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) )).++cnf(cls_NatBin_Oless__nat__number__of_3,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(V_v_H),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_less(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) )).++cnf(cls_NatBin_Oless__nat__number__of_4,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(V_v_H)),tc_IntDef_Oint),tc_IntDef_Oint)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(V_v_H),tc_IntDef_Oint),tc_IntDef_Oint)+ | c_less(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) )).++cnf(cls_NatBin_Omod__nat__number__of_0,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_0 )).++cnf(cls_NatBin_Omod__nat__number__of_1,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_Numeral_Onumber__of(V_v,tc_nat) )).++cnf(cls_NatBin_Omod__nat__number__of_2,axiom,+ ( c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)) )).++cnf(cls_NatBin_Omult__nat__number__of_0,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_times(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_0 )).++cnf(cls_NatBin_Omult__nat__number__of_1,axiom,+ ( c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_times(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(V_v,V_v_H),tc_nat) )).++cnf(cls_NatBin_Onat__number__of_0,axiom,+ ( c_IntDef_Onat(c_Numeral_Onumber__of(V_w,tc_IntDef_Oint)) = c_Numeral_Onumber__of(V_w,tc_nat) )).++cnf(cls_NatBin_Onat__numeral__0__eq__0_0,axiom,+ ( c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) = c_0 )).++cnf(cls_NatBin_Onat__numeral__1__eq__1_0,axiom,+ ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat) = c_1 )).++cnf(cls_NatBin_Oof__nat__number__of__eq_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_NatArith_Oof__nat(c_Numeral_Onumber__of(V_v,tc_nat),T_a) = c_0 )).++cnf(cls_NatBin_Oof__nat__number__of__eq_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_NatArith_Oof__nat(c_Numeral_Onumber__of(V_v,tc_nat),T_a) = c_Numeral_Onumber__of(V_v,T_a) )).++cnf(cls_NatBin_Oone__div__nat__number__of_0,axiom,+ ( c_div(c_Suc(c_0),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_1,c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)) )).++cnf(cls_NatBin_Oone__mod__nat__number__of_0,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_Suc(c_0) )).++cnf(cls_NatBin_Oone__mod__nat__number__of_1,axiom,+ ( c_IntDef_Oneg(c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(V_v_H,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(V_v_H,tc_IntDef_Oint),tc_IntDef_Oint)) )).++cnf(cls_NatBin_Oone__power2_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),T_a) = c_1 )).++cnf(cls_NatBin_Opower2__eq__square__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Power_Orecpower(T_b)+ | c_Nat_Opower(c_Numeral_Onumber__of(V_w,T_b),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),T_b) = c_times(c_Numeral_Onumber__of(V_w,T_b),c_Numeral_Onumber__of(V_w,T_b),T_b) )).++cnf(cls_NatBin_Opower__minus__even_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_Nat_Opower(c_uminus(V_a,T_a),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),V_n,tc_nat),T_a) = c_Nat_Opower(V_a,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),V_n,tc_nat),T_a) )).++cnf(cls_NatBin_Opower__nat__number__of__number__of_0,axiom,+ ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Nat_Opower(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_w,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(V_w,tc_nat),tc_nat) )).++cnf(cls_NatBin_Opower__nat__number__of__number__of_1,axiom,+ ( c_IntDef_Oneg(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Nat_Opower(c_Numeral_Onumber__of(V_v,tc_nat),c_Numeral_Onumber__of(V_w,tc_nat),tc_nat) = c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(V_w,tc_nat),tc_IntDef_Oint)) )).++cnf(cls_NatBin_Ozero__power2_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),T_a) = c_0 )).++cnf(cls_NatSimprocs_OSuc__div__eq__add3__div__number__of_0,axiom,+ ( c_div(c_Suc(c_Suc(c_Suc(V_m))),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) = c_div(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_m,tc_nat),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) )).++cnf(cls_NatSimprocs_OSuc__mod__eq__add3__mod__number__of_0,axiom,+ ( c_Divides_Oop_Amod(c_Suc(c_Suc(c_Suc(V_m))),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_m,tc_nat),c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) )).++cnf(cls_NatSimprocs_Oadd__2__eq__Suc_0,axiom,+ ( c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),V_n,tc_nat) = c_Suc(c_Suc(V_n)) )).++cnf(cls_NatSimprocs_Oadd__2__eq__Suc_H_0,axiom,+ ( c_plus(V_n,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_Suc(V_n)) )).++cnf(cls_NatSimprocs_Oadd__self__div__2_0,axiom,+ ( c_div(c_plus(V_y,V_y,tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = V_y )).++cnf(cls_NatSimprocs_Odiv2__Suc__Suc_0,axiom,+ ( c_div(c_Suc(c_Suc(V_m)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_div(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)) )).++cnf(cls_NatSimprocs_Odiv__Suc__eq__div__add3_0,axiom,+ ( c_div(V_m,c_Suc(c_Suc(c_Suc(V_n))),tc_nat) = c_div(V_m,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_n,tc_nat),tc_nat) )).++cnf(cls_NatSimprocs_Odivide__eq__eq__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Ofield(T_b)+ | V_b = c_times(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_Numeral_Onumber__of(V_w,T_b) = c_0 )).++cnf(cls_NatSimprocs_Odivide__eq__eq__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Ofield(T_b)+ | c_Numeral_Onumber__of(V_w,T_b) != c_0+ | c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b) = c_0 )).++cnf(cls_NatSimprocs_Odivide__eq__eq__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Ofield(T_b)+ | c_Numeral_Onumber__of(V_w,T_b) = c_0+ | c_divide(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),c_Numeral_Onumber__of(V_w,T_b),T_b) = V_a )).++cnf(cls_NatSimprocs_Odivide__eq__eq__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Ofield(T_b)+ | c_divide(c_times(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b),c_Numeral_Onumber__of(V_w,T_b),T_b) = c_0 )).++cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b)+ | c_lessequals(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_lessequals(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b)+ | c_lessequals(c_0,V_b,T_b)+ | c_lessequals(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b) )).++cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b)+ | c_lessequals(V_b,c_0,T_b)+ | c_lessequals(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b)+ | c_lessequals(V_b,c_0,T_b)+ | c_lessequals(c_0,V_b,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(V_b,c_0,T_b)+ | ~ c_lessequals(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_lessequals(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_0,V_b,T_b)+ | ~ c_lessequals(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_lessequals(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__eq__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | ~ c_lessequals(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b)+ | c_lessequals(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Odivide__le__eq__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | ~ c_lessequals(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__eq__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_lessequals(c_0,V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__eq__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_0,V_a,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_lessequals(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__eq__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | ~ c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_lessequals(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__eq__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_0,V_a,T_b)+ | ~ c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_lessequals(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__eq__number__of_6,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | ~ c_lessequals(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_lessequals(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__eq__number__of_7,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_lessequals(c_0,V_a,T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_lessequals(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__eq__number__of_8,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | ~ c_lessequals(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_lessequals(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__le__eq__number__of_9,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_lessequals(c_0,V_a,T_b)+ | ~ c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_lessequals(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b)+ | c_less(c_0,V_b,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b) )).++cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b)+ | c_less(V_b,c_0,T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b)+ | c_less(V_b,c_0,T_b)+ | c_less(c_0,V_b,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_b,c_0,T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,V_b,T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_less(c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__eq__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | ~ c_less(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b)+ | c_less(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Odivide__less__eq__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | ~ c_less(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__eq__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b)+ | c_less(c_0,V_a,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__eq__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,V_a,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_less(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__eq__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | ~ c_less(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__eq__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,V_a,T_b)+ | ~ c_less(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__eq__number__of_6,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__eq__number__of_7,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_less(c_0,V_a,T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_less(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__eq__number__of_8,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | ~ c_less(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_less(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__less__eq__number__of_9,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_less(c_0,V_a,T_b)+ | ~ c_less(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_less(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Odivide__minus1_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(V_x,c_Numeral_Onumber__of(c_Numeral_OMin,T_a),T_a) = c_uminus(V_x,T_a) )).++cnf(cls_NatSimprocs_Oeq__divide__eq__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Ofield(T_b)+ | c_Numeral_Onumber__of(V_w,T_b) = c_0+ | c_times(c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),c_Numeral_Onumber__of(V_w,T_b),T_b) = V_b )).++cnf(cls_NatSimprocs_Oeq__divide__eq__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Ofield(T_b)+ | c_Numeral_Onumber__of(V_w,T_b) != c_0+ | c_0 = c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b) )).++cnf(cls_NatSimprocs_Oeq__divide__eq__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Ofield(T_b)+ | V_a = c_divide(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_Numeral_Onumber__of(V_w,T_b) = c_0 )).++cnf(cls_NatSimprocs_Oeq__divide__eq__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Ofield(T_b)+ | c_0 = c_divide(c_times(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b),c_Numeral_Onumber__of(V_w,T_b),T_b) )).++cnf(cls_NatSimprocs_Oequation__minus__iff__1_0,axiom,+ ( ~ class_HOL_Oone(T_b)+ | ~ class_OrderedGroup_Oab__group__add(T_b)+ | c_uminus(V_b,T_b) != c_1+ | V_b = c_uminus(c_1,T_b) )).++cnf(cls_NatSimprocs_Oequation__minus__iff__1_1,axiom,+ ( ~ class_HOL_Oone(T_b)+ | ~ class_OrderedGroup_Oab__group__add(T_b)+ | c_uminus(c_uminus(c_1,T_b),T_b) = c_1 )).++cnf(cls_NatSimprocs_Oequation__minus__iff__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Oab__group__add(T_b)+ | c_Numeral_Onumber__of(V_v,T_b) != c_uminus(V_b,T_b)+ | V_b = c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b) )).++cnf(cls_NatSimprocs_Oequation__minus__iff__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Oab__group__add(T_b)+ | c_Numeral_Onumber__of(V_v,T_b) = c_uminus(c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Ohalf__gt__zero_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_r,T_a)+ | c_less(c_0,c_divide(V_r,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),T_a),T_a),T_a) )).++cnf(cls_NatSimprocs_Oinverse__eq__divide__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Ofield(T_b)+ | c_HOL_Oinverse(c_Numeral_Onumber__of(V_w,T_b),T_b) = c_divide(c_1,c_Numeral_Onumber__of(V_w,T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__divide__eq__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | ~ c_lessequals(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b) )).++cnf(cls_NatSimprocs_Ole__divide__eq__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | ~ c_lessequals(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_lessequals(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__divide__eq__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_lessequals(V_a,c_0,T_b) )).++cnf(cls_NatSimprocs_Ole__divide__eq__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(V_a,c_0,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_lessequals(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__divide__eq__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | ~ c_lessequals(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_lessequals(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__divide__eq__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(V_a,c_0,T_b)+ | ~ c_lessequals(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_lessequals(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__divide__eq__number__of_6,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | ~ c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_lessequals(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__divide__eq__number__of_7,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(V_a,c_0,T_b)+ | ~ c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_lessequals(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__divide__eq__number__of_8,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | ~ c_lessequals(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_lessequals(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__divide__eq__number__of_9,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(V_a,c_0,T_b)+ | ~ c_lessequals(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_lessequals(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__minus__iff__1_0,axiom,+ ( ~ class_HOL_Oone(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_lessequals(c_1,c_uminus(V_b,T_b),T_b)+ | c_lessequals(V_b,c_uminus(c_1,T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__minus__iff__1_1,axiom,+ ( ~ class_HOL_Oone(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_lessequals(V_b,c_uminus(c_1,T_b),T_b)+ | c_lessequals(c_1,c_uminus(V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__minus__iff__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_lessequals(c_Numeral_Onumber__of(V_v,T_b),c_uminus(V_b,T_b),T_b)+ | c_lessequals(V_b,c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Ole__minus__iff__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_lessequals(V_b,c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b),T_b)+ | c_lessequals(c_Numeral_Onumber__of(V_v,T_b),c_uminus(V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Oleft__diff__distrib__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oring(T_b)+ | c_times(c_minus(V_a,V_b,T_b),c_Numeral_Onumber__of(V_v,T_b),T_b) = c_minus(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Oleft__distrib__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Osemiring(T_b)+ | c_times(c_plus(V_a,V_b,T_b),c_Numeral_Onumber__of(V_v,T_b),T_b) = c_plus(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Oless__divide__eq__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b) )).++cnf(cls_NatSimprocs_Oless__divide__eq__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_less(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b) )).++cnf(cls_NatSimprocs_Oless__divide__eq__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_less(V_a,c_0,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Oless__divide__eq__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_a,c_0,T_b)+ | c_less(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Oless__divide__eq__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_less(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b) )).++cnf(cls_NatSimprocs_Oless__divide__eq__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_a,c_0,T_b)+ | ~ c_less(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_less(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b) )).++cnf(cls_NatSimprocs_Oless__divide__eq__number__of_6,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | ~ c_less(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_less(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Oless__divide__eq__number__of_7,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_a,c_0,T_b)+ | ~ c_less(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_less(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Oless__divide__eq__number__of_8,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | ~ c_less(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_less(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Oless__divide__eq__number__of_9,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_a,c_0,T_b)+ | ~ c_less(V_b,c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b)+ | ~ c_less(c_times(V_a,c_Numeral_Onumber__of(V_w,T_b),T_b),V_b,T_b)+ | c_less(V_a,c_divide(V_b,c_Numeral_Onumber__of(V_w,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Oless__minus__iff__1_0,axiom,+ ( ~ class_HOL_Oone(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_less(c_1,c_uminus(V_b,T_b),T_b)+ | c_less(V_b,c_uminus(c_1,T_b),T_b) )).++cnf(cls_NatSimprocs_Oless__minus__iff__1_1,axiom,+ ( ~ class_HOL_Oone(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_less(V_b,c_uminus(c_1,T_b),T_b)+ | c_less(c_1,c_uminus(V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Oless__minus__iff__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_v,T_b),c_uminus(V_b,T_b),T_b)+ | c_less(V_b,c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Oless__minus__iff__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_less(V_b,c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_v,T_b),c_uminus(V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Ominus1__divide_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,T_a),V_x,T_a) = c_uminus(c_divide(c_1,V_x,T_a),T_a) )).++cnf(cls_NatSimprocs_Ominus__equation__iff__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Oab__group__add(T_b)+ | c_uminus(V_a,T_b) != c_Numeral_Onumber__of(V_v,T_b)+ | c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b) = V_a )).++cnf(cls_NatSimprocs_Ominus__equation__iff__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Oab__group__add(T_b)+ | c_uminus(c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b),T_b) = c_Numeral_Onumber__of(V_v,T_b) )).++cnf(cls_NatSimprocs_Ominus__le__iff__1_0,axiom,+ ( ~ class_HOL_Oone(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_lessequals(c_uminus(V_a,T_b),c_1,T_b)+ | c_lessequals(c_uminus(c_1,T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Ominus__le__iff__1_1,axiom,+ ( ~ class_HOL_Oone(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_lessequals(c_uminus(c_1,T_b),V_a,T_b)+ | c_lessequals(c_uminus(V_a,T_b),c_1,T_b) )).++cnf(cls_NatSimprocs_Ominus__le__iff__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_lessequals(c_uminus(V_a,T_b),c_Numeral_Onumber__of(V_v,T_b),T_b)+ | c_lessequals(c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Ominus__le__iff__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b),V_a,T_b)+ | c_lessequals(c_uminus(V_a,T_b),c_Numeral_Onumber__of(V_v,T_b),T_b) )).++cnf(cls_NatSimprocs_Ominus__less__iff__1_0,axiom,+ ( ~ class_HOL_Oone(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_less(c_uminus(V_a,T_b),c_1,T_b)+ | c_less(c_uminus(c_1,T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Ominus__less__iff__1_1,axiom,+ ( ~ class_HOL_Oone(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_less(c_uminus(c_1,T_b),V_a,T_b)+ | c_less(c_uminus(V_a,T_b),c_1,T_b) )).++cnf(cls_NatSimprocs_Ominus__less__iff__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_less(c_uminus(V_a,T_b),c_Numeral_Onumber__of(V_v,T_b),T_b)+ | c_less(c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b),V_a,T_b) )).++cnf(cls_NatSimprocs_Ominus__less__iff__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_OrderedGroup_Opordered__ab__group__add(T_b)+ | ~ c_less(c_uminus(c_Numeral_Onumber__of(V_v,T_b),T_b),V_a,T_b)+ | c_less(c_uminus(V_a,T_b),c_Numeral_Onumber__of(V_v,T_b),T_b) )).++cnf(cls_NatSimprocs_Omod2__Suc__Suc_0,axiom,+ ( c_Divides_Oop_Amod(c_Suc(c_Suc(V_m)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Divides_Oop_Amod(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) )).++cnf(cls_NatSimprocs_Omod2__gr__0_0,axiom,+ ( ~ c_less(c_0,c_Divides_Oop_Amod(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)+ | c_Divides_Oop_Amod(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1 )).++cnf(cls_NatSimprocs_Omod2__gr__0_1,axiom,+ ( c_Divides_Oop_Amod(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1+ | c_less(c_0,c_Divides_Oop_Amod(V_m,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) )).++cnf(cls_NatSimprocs_Omod__Suc__eq__mod__add3_0,axiom,+ ( c_Divides_Oop_Amod(V_m,c_Suc(c_Suc(c_Suc(V_n))),tc_nat) = c_Divides_Oop_Amod(V_m,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),V_n,tc_nat),tc_nat) )).++cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b)+ | ~ c_lessequals(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b)+ | c_lessequals(V_a,V_b,T_b) )).++cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b)+ | ~ c_lessequals(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b)+ | c_lessequals(V_b,V_a,T_b) )).++cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b)+ | c_lessequals(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_lessequals(V_b,V_a,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b)+ | c_lessequals(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_lessequals(V_a,V_b,T_b)+ | c_less(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b)+ | c_lessequals(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_lessequals(V_b,V_a,T_b)+ | ~ c_lessequals(V_a,V_b,T_b)+ | c_lessequals(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b)+ | ~ c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b)+ | c_lessequals(V_a,V_b,T_b) )).++cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b)+ | ~ c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b)+ | c_lessequals(V_b,V_a,T_b) )).++cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b)+ | c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_lessequals(V_b,V_a,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b)+ | c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_lessequals(V_a,V_b,T_b)+ | c_less(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b)+ | c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_lessequals(V_b,V_a,T_b)+ | ~ c_lessequals(V_a,V_b,T_b)+ | c_lessequals(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b)+ | ~ c_lessequals(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b)+ | c_less(V_a,V_b,T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b)+ | ~ c_lessequals(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b)+ | c_less(V_b,V_a,T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | c_less(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b)+ | c_lessequals(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b)+ | c_lessequals(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(V_b,V_a,T_b)+ | c_less(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b)+ | c_lessequals(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(V_a,V_b,T_b)+ | c_less(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b)+ | c_lessequals(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(V_b,V_a,T_b)+ | ~ c_less(V_a,V_b,T_b)+ | c_less(c_times(c_Numeral_Onumber__of(V_v,T_b),V_a,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b)+ | ~ c_lessequals(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b)+ | c_less(V_a,V_b,T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b)+ | ~ c_lessequals(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b)+ | c_less(V_b,V_a,T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | c_less(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b)+ | c_lessequals(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b)+ | c_lessequals(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(V_b,V_a,T_b)+ | c_less(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b)+ | c_lessequals(c_0,c_Numeral_Onumber__of(V_v,T_b),T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(V_a,V_b,T_b)+ | c_less(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b)+ | c_lessequals(c_Numeral_Onumber__of(V_v,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oordered__ring__strict(T_b)+ | ~ c_less(V_b,V_a,T_b)+ | ~ c_less(V_a,V_b,T_b)+ | c_less(c_times(V_a,c_Numeral_Onumber__of(V_v,T_b),T_b),c_times(V_b,c_Numeral_Onumber__of(V_v,T_b),T_b),T_b) )).++cnf(cls_NatSimprocs_Oright__diff__distrib__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Oring(T_b)+ | c_times(c_Numeral_Onumber__of(V_v,T_b),c_minus(V_b,V_c,T_b),T_b) = c_minus(c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_c,T_b),T_b) )).++cnf(cls_NatSimprocs_Oright__distrib__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Osemiring(T_b)+ | c_times(c_Numeral_Onumber__of(V_v,T_b),c_plus(V_b,V_c,T_b),T_b) = c_plus(c_times(c_Numeral_Onumber__of(V_v,T_b),V_b,T_b),c_times(c_Numeral_Onumber__of(V_v,T_b),V_c,T_b),T_b) )).++cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b)+ | c_lessequals(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_lessequals(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b)+ | c_lessequals(V_b,c_0,T_b)+ | c_lessequals(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b) )).++cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b)+ | c_lessequals(c_0,V_b,T_b)+ | c_lessequals(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b)+ | c_lessequals(V_b,c_0,T_b)+ | c_lessequals(c_0,V_b,T_b) )).++cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(c_0,V_b,T_b)+ | ~ c_lessequals(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_lessequals(V_b,c_0,T_b)+ | ~ c_lessequals(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_0,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_1,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b)+ | c_less(V_b,c_0,T_b)+ | c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b) )).++cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_2,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b)+ | c_less(c_0,V_b,T_b)+ | c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b) )).++cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_3,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b)+ | c_less(V_b,c_0,T_b)+ | c_less(c_0,V_b,T_b) )).++cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_4,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(c_0,V_b,T_b)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_w,T_b),T_b)+ | c_less(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b) )).++cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_5,axiom,+ ( ~ class_Numeral_Onumber(T_b)+ | ~ class_Ring__and__Field_Odivision__by__zero(T_b)+ | ~ class_Ring__and__Field_Oordered__field(T_b)+ | ~ c_less(V_b,c_0,T_b)+ | ~ c_less(c_Numeral_Onumber__of(V_w,T_b),c_0,T_b)+ | c_less(c_0,c_divide(c_Numeral_Onumber__of(V_w,T_b),V_b,T_b),T_b) )).++cnf(cls_Nat_OOne__nat__def_0,axiom,+ ( c_1 = c_Suc(c_0) )).++cnf(cls_Nat_OSuc__Suc__eq_0,axiom,+ ( c_Suc(V_m) != c_Suc(V_n)+ | V_m = V_n )).++cnf(cls_Nat_OSuc__diff__diff_0,axiom,+ ( c_minus(c_minus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_minus(c_minus(V_m,V_n,tc_nat),V_k,tc_nat) )).++cnf(cls_Nat_OSuc__le__mono_0,axiom,+ ( ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)+ | c_lessequals(V_n,V_m,tc_nat) )).++cnf(cls_Nat_OSuc__le__mono_1,axiom,+ ( ~ c_lessequals(V_n,V_m,tc_nat)+ | c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) )).++cnf(cls_Nat_OSuc__less__eq_0,axiom,+ ( ~ c_less(c_Suc(V_m),c_Suc(V_n),tc_nat)+ | c_less(V_m,V_n,tc_nat) )).++cnf(cls_Nat_OSuc__less__eq_1,axiom,+ ( ~ c_less(V_m,V_n,tc_nat)+ | c_less(c_Suc(V_m),c_Suc(V_n),tc_nat) )).++cnf(cls_Nat_OSuc__not__Zero_0,axiom,+ ( c_Suc(V_m) != c_0 )).++cnf(cls_Nat_OSuc__pred_0,axiom,+ ( ~ c_less(c_0,V_y,tc_nat)+ | c_Suc(c_minus(V_y,c_Suc(c_0),tc_nat)) = V_y )).++cnf(cls_Nat_OZero__not__Suc_0,axiom,+ ( c_0 != c_Suc(V_m) )).++cnf(cls_Nat_Oadd__0__right_0,axiom,+ ( c_plus(V_y,c_0,tc_nat) = V_y )).++cnf(cls_Nat_Oadd__Suc__right_0,axiom,+ ( c_plus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_plus(V_m,V_n,tc_nat)) )).++cnf(cls_Nat_Oadd__gr__0_0,axiom,+ ( ~ c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat)+ | c_less(c_0,V_n,tc_nat)+ | c_less(c_0,V_m,tc_nat) )).++cnf(cls_Nat_Oadd__gr__0_1,axiom,+ ( ~ c_less(c_0,V_m,tc_nat)+ | c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Oadd__gr__0_2,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Oadd__is__0_0,axiom,+ ( c_plus(V_m,V_n,tc_nat) != c_0+ | V_m = c_0 )).++cnf(cls_Nat_Oadd__is__0_1,axiom,+ ( c_plus(V_m,V_n,tc_nat) != c_0+ | V_n = c_0 )).++cnf(cls_Nat_Oadd__is__0_2,axiom,+ ( c_plus(c_0,c_0,tc_nat) = c_0 )).++cnf(cls_Nat_Odiff__0__eq__0_0,axiom,+ ( c_minus(c_0,V_n,tc_nat) = c_0 )).++cnf(cls_Nat_Odiff__Suc__Suc_0,axiom,+ ( c_minus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_minus(V_m,V_n,tc_nat) )).++cnf(cls_Nat_Odiff__Suc__less_0,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | c_less(c_minus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat) )).++cnf(cls_Nat_Odiff__diff__left_0,axiom,+ ( c_minus(c_minus(V_i,V_j,tc_nat),V_k,tc_nat) = c_minus(V_i,c_plus(V_j,V_k,tc_nat),tc_nat) )).++cnf(cls_Nat_Odiff__is__0__eq_0,axiom,+ ( c_minus(V_m,V_n,tc_nat) != c_0+ | c_lessequals(V_m,V_n,tc_nat) )).++cnf(cls_Nat_Odiff__is__0__eq_H_0,axiom,+ ( ~ c_lessequals(V_m,V_n,tc_nat)+ | c_minus(V_m,V_n,tc_nat) = c_0 )).++cnf(cls_Nat_Odiff__le__self_0,axiom,+ ( c_lessequals(c_minus(V_m,V_n,tc_nat),V_m,tc_nat) )).++cnf(cls_Nat_Odiff__self__eq__0_0,axiom,+ ( c_minus(V_m,V_m,tc_nat) = c_0 )).++cnf(cls_Nat_Ole__0__eq_0,axiom,+ ( ~ c_lessequals(V_i,c_0,tc_nat)+ | V_i = c_0 )).++cnf(cls_Nat_Ole__0__eq_1,axiom,+ ( c_lessequals(c_0,c_0,tc_nat) )).++cnf(cls_Nat_Ole__add__diff__inverse2_0,axiom,+ ( ~ c_lessequals(V_n,V_y,tc_nat)+ | c_plus(c_minus(V_y,V_n,tc_nat),V_n,tc_nat) = V_y )).++cnf(cls_Nat_Ole__add__diff__inverse_0,axiom,+ ( ~ c_lessequals(V_n,V_y,tc_nat)+ | c_plus(V_n,c_minus(V_y,V_n,tc_nat),tc_nat) = V_y )).++cnf(cls_Nat_Oless__Suc0_0,axiom,+ ( ~ c_less(V_n,c_Suc(c_0),tc_nat)+ | V_n = c_0 )).++cnf(cls_Nat_Oless__Suc0_1,axiom,+ ( c_less(c_0,c_Suc(c_0),tc_nat) )).++cnf(cls_Nat_Oless__one_0,axiom,+ ( ~ c_less(V_n,c_1,tc_nat)+ | V_n = c_0 )).++cnf(cls_Nat_Oless__one_1,axiom,+ ( c_less(c_0,c_1,tc_nat) )).++cnf(cls_Nat_Omax__0L_0,axiom,+ ( c_Orderings_Omax(c_0,V_y,tc_nat) = V_y )).++cnf(cls_Nat_Omax__0R_0,axiom,+ ( c_Orderings_Omax(V_y,c_0,tc_nat) = V_y )).++cnf(cls_Nat_Omax__Suc__Suc_0,axiom,+ ( c_Orderings_Omax(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Omax(V_m,V_n,tc_nat)) )).++cnf(cls_Nat_Omin__0L_0,axiom,+ ( c_Orderings_Omin(c_0,V_n,tc_nat) = c_0 )).++cnf(cls_Nat_Omin__0R_0,axiom,+ ( c_Orderings_Omin(V_n,c_0,tc_nat) = c_0 )).++cnf(cls_Nat_Omin__Suc__Suc_0,axiom,+ ( c_Orderings_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Omin(V_m,V_n,tc_nat)) )).++cnf(cls_Nat_Omult__0__right_0,axiom,+ ( c_times(V_m,c_0,tc_nat) = c_0 )).++cnf(cls_Nat_Omult__Suc__right_0,axiom,+ ( c_times(V_m,c_Suc(V_n),tc_nat) = c_plus(V_m,c_times(V_m,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Omult__cancel1_0,axiom,+ ( c_times(V_k,V_m,tc_nat) != c_times(V_k,V_n,tc_nat)+ | V_m = V_n+ | V_k = c_0 )).++cnf(cls_Nat_Omult__cancel1_1,axiom,+ ( c_times(c_0,V_m,tc_nat) = c_times(c_0,V_n,tc_nat) )).++cnf(cls_Nat_Omult__cancel2_0,axiom,+ ( c_times(V_m,V_k,tc_nat) != c_times(V_n,V_k,tc_nat)+ | V_m = V_n+ | V_k = c_0 )).++cnf(cls_Nat_Omult__cancel2_1,axiom,+ ( c_times(V_m,c_0,tc_nat) = c_times(V_n,c_0,tc_nat) )).++cnf(cls_Nat_Omult__eq__1__iff_0,axiom,+ ( c_times(V_m,V_n,tc_nat) != c_Suc(c_0)+ | V_m = c_1 )).++cnf(cls_Nat_Omult__eq__1__iff_1,axiom,+ ( c_times(V_m,V_n,tc_nat) != c_Suc(c_0)+ | V_n = c_1 )).++cnf(cls_Nat_Omult__eq__1__iff_2,axiom,+ ( c_times(c_1,c_1,tc_nat) = c_Suc(c_0) )).++cnf(cls_Nat_Omult__is__0_0,axiom,+ ( c_times(V_m,V_n,tc_nat) != c_0+ | V_n = c_0+ | V_m = c_0 )).++cnf(cls_Nat_Omult__le__cancel1_0,axiom,+ ( ~ c_less(c_0,V_k,tc_nat)+ | ~ c_lessequals(c_times(V_k,V_m,tc_nat),c_times(V_k,V_n,tc_nat),tc_nat)+ | c_lessequals(V_m,V_n,tc_nat) )).++cnf(cls_Nat_Omult__le__cancel1_1,axiom,+ ( c_less(c_0,V_k,tc_nat)+ | c_lessequals(c_times(V_k,V_m,tc_nat),c_times(V_k,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Omult__le__cancel1_2,axiom,+ ( ~ c_lessequals(V_m,V_n,tc_nat)+ | c_lessequals(c_times(V_k,V_m,tc_nat),c_times(V_k,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Omult__le__cancel2_0,axiom,+ ( ~ c_less(c_0,V_k,tc_nat)+ | ~ c_lessequals(c_times(V_m,V_k,tc_nat),c_times(V_n,V_k,tc_nat),tc_nat)+ | c_lessequals(V_m,V_n,tc_nat) )).++cnf(cls_Nat_Omult__le__cancel2_1,axiom,+ ( c_less(c_0,V_k,tc_nat)+ | c_lessequals(c_times(V_m,V_k,tc_nat),c_times(V_n,V_k,tc_nat),tc_nat) )).++cnf(cls_Nat_Omult__le__cancel2_2,axiom,+ ( ~ c_lessequals(V_m,V_n,tc_nat)+ | c_lessequals(c_times(V_m,V_k,tc_nat),c_times(V_n,V_k,tc_nat),tc_nat) )).++cnf(cls_Nat_Omult__less__cancel1_0,axiom,+ ( ~ c_less(c_times(V_k,V_m,tc_nat),c_times(V_k,V_n,tc_nat),tc_nat)+ | c_less(c_0,V_k,tc_nat) )).++cnf(cls_Nat_Omult__less__cancel1_1,axiom,+ ( ~ c_less(c_times(V_k,V_m,tc_nat),c_times(V_k,V_n,tc_nat),tc_nat)+ | c_less(V_m,V_n,tc_nat) )).++cnf(cls_Nat_Omult__less__cancel1_2,axiom,+ ( ~ c_less(V_m,V_n,tc_nat)+ | ~ c_less(c_0,V_k,tc_nat)+ | c_less(c_times(V_k,V_m,tc_nat),c_times(V_k,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Omult__less__cancel2_0,axiom,+ ( ~ c_less(c_times(V_m,V_k,tc_nat),c_times(V_n,V_k,tc_nat),tc_nat)+ | c_less(c_0,V_k,tc_nat) )).++cnf(cls_Nat_Omult__less__cancel2_1,axiom,+ ( ~ c_less(c_times(V_m,V_k,tc_nat),c_times(V_n,V_k,tc_nat),tc_nat)+ | c_less(V_m,V_n,tc_nat) )).++cnf(cls_Nat_Omult__less__cancel2_2,axiom,+ ( ~ c_less(V_m,V_n,tc_nat)+ | ~ c_less(c_0,V_k,tc_nat)+ | c_less(c_times(V_m,V_k,tc_nat),c_times(V_n,V_k,tc_nat),tc_nat) )).++cnf(cls_Nat_Onat__0__less__mult__iff_0,axiom,+ ( ~ c_less(c_0,c_times(V_m,V_n,tc_nat),tc_nat)+ | c_less(c_0,V_m,tc_nat) )).++cnf(cls_Nat_Onat__0__less__mult__iff_1,axiom,+ ( ~ c_less(c_0,c_times(V_m,V_n,tc_nat),tc_nat)+ | c_less(c_0,V_n,tc_nat) )).++cnf(cls_Nat_Onat__0__less__mult__iff_2,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | ~ c_less(c_0,V_m,tc_nat)+ | c_less(c_0,c_times(V_m,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Onat__add__left__cancel_0,axiom,+ ( c_plus(V_k,V_m,tc_nat) != c_plus(V_k,V_n,tc_nat)+ | V_m = V_n )).++cnf(cls_Nat_Onat__add__left__cancel__le_0,axiom,+ ( ~ c_lessequals(c_plus(V_k,V_m,tc_nat),c_plus(V_k,V_n,tc_nat),tc_nat)+ | c_lessequals(V_m,V_n,tc_nat) )).++cnf(cls_Nat_Onat__add__left__cancel__le_1,axiom,+ ( ~ c_lessequals(V_m,V_n,tc_nat)+ | c_lessequals(c_plus(V_k,V_m,tc_nat),c_plus(V_k,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Onat__add__left__cancel__less_0,axiom,+ ( ~ c_less(c_plus(V_k,V_m,tc_nat),c_plus(V_k,V_n,tc_nat),tc_nat)+ | c_less(V_m,V_n,tc_nat) )).++cnf(cls_Nat_Onat__add__left__cancel__less_1,axiom,+ ( ~ c_less(V_m,V_n,tc_nat)+ | c_less(c_plus(V_k,V_m,tc_nat),c_plus(V_k,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Onat__add__right__cancel_0,axiom,+ ( c_plus(V_m,V_k,tc_nat) != c_plus(V_n,V_k,tc_nat)+ | V_m = V_n )).++cnf(cls_Nat_Onot__add__less1_0,axiom,+ ( ~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat) )).++cnf(cls_Nat_Onot__add__less2_0,axiom,+ ( ~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat) )).++cnf(cls_Nat_Onot__gr0_0,axiom,+ ( c_less(c_0,V_n,tc_nat)+ | V_n = c_0 )).++cnf(cls_Nat_Onot__gr0_1,axiom,+ ( ~ c_less(c_0,c_0,tc_nat) )).++cnf(cls_Nat_Onot__less0_0,axiom,+ ( ~ c_less(V_n,c_0,tc_nat) )).++cnf(cls_Nat_Oone__eq__mult__iff_0,axiom,+ ( c_Suc(c_0) != c_times(V_m,V_n,tc_nat)+ | V_m = c_1 )).++cnf(cls_Nat_Oone__eq__mult__iff_1,axiom,+ ( c_Suc(c_0) != c_times(V_m,V_n,tc_nat)+ | V_n = c_1 )).++cnf(cls_Nat_Oone__eq__mult__iff_2,axiom,+ ( c_Suc(c_0) = c_times(c_1,c_1,tc_nat) )).++cnf(cls_Nat_Oone__le__mult__iff_0,axiom,+ ( ~ c_lessequals(c_Suc(c_0),c_times(V_m,V_n,tc_nat),tc_nat)+ | c_lessequals(c_1,V_m,tc_nat) )).++cnf(cls_Nat_Oone__le__mult__iff_1,axiom,+ ( ~ c_lessequals(c_Suc(c_0),c_times(V_m,V_n,tc_nat),tc_nat)+ | c_lessequals(c_1,V_n,tc_nat) )).++cnf(cls_Nat_Oone__le__mult__iff_2,axiom,+ ( ~ c_lessequals(c_1,V_n,tc_nat)+ | ~ c_lessequals(c_1,V_m,tc_nat)+ | c_lessequals(c_Suc(c_0),c_times(V_m,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Oop_A_K_Omult__0_0,axiom,+ ( c_times(c_0,V_n,tc_nat) = c_0 )).++cnf(cls_Nat_Oop_A_K_Omult__Suc_0,axiom,+ ( c_times(c_Suc(V_m),V_n,tc_nat) = c_plus(V_n,c_times(V_m,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Oop_A_L_Oadd__0_0,axiom,+ ( c_plus(c_0,V_y,tc_nat) = V_y )).++cnf(cls_Nat_Oop_A_L_Oadd__Suc_0,axiom,+ ( c_plus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_plus(V_m,V_n,tc_nat)) )).++cnf(cls_Nat_Oop_A_N_Odiff__0_0,axiom,+ ( c_minus(V_y,c_0,tc_nat) = V_y )).++cnf(cls_Nat_Ozero__less__diff_0,axiom,+ ( ~ c_less(c_0,c_minus(V_n,V_m,tc_nat),tc_nat)+ | c_less(V_m,V_n,tc_nat) )).++cnf(cls_Nat_Ozero__less__diff_1,axiom,+ ( ~ c_less(V_m,V_n,tc_nat)+ | c_less(c_0,c_minus(V_n,V_m,tc_nat),tc_nat) )).++cnf(cls_Numeral_OMin__1__eq_0,axiom,+ ( c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) = c_Numeral_OMin )).++cnf(cls_Numeral_OPls__0__eq_0,axiom,+ ( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) = c_Numeral_OPls )).++cnf(cls_Numeral_Oadd__number__of__diff2_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_plus(c_Numeral_Onumber__of(V_v,T_a),c_minus(V_c,c_Numeral_Onumber__of(V_w,T_a),T_a),T_a) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(V_w)),T_a),V_c,T_a) )).++cnf(cls_Numeral_Oadd__number__of__left_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_plus(c_Numeral_Onumber__of(V_v,T_a),c_plus(c_Numeral_Onumber__of(V_w,T_a),V_z,T_a),T_a) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,V_w),T_a),V_z,T_a) )).++cnf(cls_Numeral_Obin__add__BIT__0_0,axiom,+ ( c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),c_Numeral_OBit(V_w,V_y)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,V_w),V_y) )).++cnf(cls_Numeral_Obin__add__BIT__10_0,axiom,+ ( c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,V_w),c_Numeral_Obit_OB1) )).++cnf(cls_Numeral_Obin__add__BIT__11_0,axiom,+ ( c_Numeral_Obin__add(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__add(V_v,c_Numeral_Obin__succ(V_w)),c_Numeral_Obit_OB0) )).++cnf(cls_Numeral_Obin__add__Min_0,axiom,+ ( c_Numeral_Obin__add(c_Numeral_OMin,V_w) = c_Numeral_Obin__pred(V_w) )).++cnf(cls_Numeral_Obin__add__Min__right_0,axiom,+ ( c_Numeral_Obin__add(V_w,c_Numeral_OMin) = c_Numeral_Obin__pred(V_w) )).++cnf(cls_Numeral_Obin__add__Pls_0,axiom,+ ( c_Numeral_Obin__add(c_Numeral_OPls,V_y) = V_y )).++cnf(cls_Numeral_Obin__add__Pls__right_0,axiom,+ ( c_Numeral_Obin__add(V_y,c_Numeral_OPls) = V_y )).++cnf(cls_Numeral_Obin__arith__extra__simps__1_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_plus(c_Numeral_Onumber__of(V_v,T_a),c_Numeral_Onumber__of(V_w,T_a),T_a) = c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,V_w),T_a) )).++cnf(cls_Numeral_Obin__arith__extra__simps__2_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_uminus(c_Numeral_Onumber__of(V_w,T_a),T_a) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(V_w),T_a) )).++cnf(cls_Numeral_Obin__arith__extra__simps__3_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_uminus(c_1,T_a) = c_Numeral_Onumber__of(c_Numeral_OMin,T_a) )).++cnf(cls_Numeral_Obin__arith__extra__simps__4_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_times(c_Numeral_Onumber__of(V_v,T_a),c_Numeral_Onumber__of(V_w,T_a),T_a) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(V_v,V_w),T_a) )).++cnf(cls_Numeral_Obin__arith__extra__simps__5_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_minus(c_Numeral_Onumber__of(V_v,T_a),c_Numeral_Onumber__of(V_w,T_a),T_a) = c_Numeral_Onumber__of(c_Numeral_Obin__add(V_v,c_Numeral_Obin__minus(V_w)),T_a) )).++cnf(cls_Numeral_Obin__arith__extra__simps__6_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_Numeral_Onumber__of(V_x,T_a),c_0,T_a)+ | c_HOL_Oabs(c_Numeral_Onumber__of(V_x,T_a),T_a) = c_uminus(c_Numeral_Onumber__of(V_x,T_a),T_a) )).++cnf(cls_Numeral_Obin__arith__extra__simps__6_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_less(c_Numeral_Onumber__of(V_x,T_a),c_0,T_a)+ | c_HOL_Oabs(c_Numeral_Onumber__of(V_x,T_a),T_a) = c_Numeral_Onumber__of(V_x,T_a) )).++cnf(cls_Numeral_Obin__minus__0_0,axiom,+ ( c_Numeral_Obin__minus(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__minus(V_w),c_Numeral_Obit_OB0) )).++cnf(cls_Numeral_Obin__minus__1_0,axiom,+ ( c_Numeral_Obin__minus(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__pred(c_Numeral_Obin__minus(V_w)),c_Numeral_Obit_OB1) )).++cnf(cls_Numeral_Obin__minus__Min_0,axiom,+ ( c_Numeral_Obin__minus(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) )).++cnf(cls_Numeral_Obin__minus__Pls_0,axiom,+ ( c_Numeral_Obin__minus(c_Numeral_OPls) = c_Numeral_OPls )).++cnf(cls_Numeral_Obin__mult__0_0,axiom,+ ( c_Numeral_Obin__mult(c_Numeral_OBit(V_v,c_Numeral_Obit_OB0),V_w) = c_Numeral_OBit(c_Numeral_Obin__mult(V_v,V_w),c_Numeral_Obit_OB0) )).++cnf(cls_Numeral_Obin__mult__1_0,axiom,+ ( c_Numeral_Obin__mult(c_Numeral_OBit(V_v,c_Numeral_Obit_OB1),V_w) = c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_Obin__mult(V_v,V_w),c_Numeral_Obit_OB0),V_w) )).++cnf(cls_Numeral_Obin__mult__Min_0,axiom,+ ( c_Numeral_Obin__mult(c_Numeral_OMin,V_w) = c_Numeral_Obin__minus(V_w) )).++cnf(cls_Numeral_Obin__mult__Pls_0,axiom,+ ( c_Numeral_Obin__mult(c_Numeral_OPls,V_w) = c_Numeral_OPls )).++cnf(cls_Numeral_Obin__pred__0_0,axiom,+ ( c_Numeral_Obin__pred(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__pred(V_w),c_Numeral_Obit_OB1) )).++cnf(cls_Numeral_Obin__pred__1_0,axiom,+ ( c_Numeral_Obin__pred(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(V_w,c_Numeral_Obit_OB0) )).++cnf(cls_Numeral_Obin__pred__Min_0,axiom,+ ( c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) )).++cnf(cls_Numeral_Obin__pred__Pls_0,axiom,+ ( c_Numeral_Obin__pred(c_Numeral_OPls) = c_Numeral_OMin )).++cnf(cls_Numeral_Obin__rel__simps__10_0,axiom,+ ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(T_a)+ | ~ c_IntDef_Oiszero(c_1,T_a) )).++cnf(cls_Numeral_Obin__rel__simps__11_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__12_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(V_w,V_x),T_a),T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(V_w,T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__12_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(V_w,T_a),T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(V_w,V_x),T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__13_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_y,c_Numeral_Obin__minus(V_x)),T_a),T_a)+ | ~ c_lessequals(c_Numeral_Onumber__of(V_x,T_a),c_Numeral_Onumber__of(V_y,T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__13_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_y,c_Numeral_Obin__minus(V_x)),T_a),T_a)+ | c_lessequals(c_Numeral_Onumber__of(V_x,T_a),c_Numeral_Onumber__of(V_y,T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__1_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_Numeral_Onumber__of(V_x,T_a) != c_Numeral_Onumber__of(V_y,T_a)+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(V_y)),T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__1_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(V_y)),T_a),T_a)+ | c_Numeral_Onumber__of(V_x,T_a) = c_Numeral_Onumber__of(V_y,T_a) )).++cnf(cls_Numeral_Obin__rel__simps__2_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__3_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__4_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0),T_a),T_a)+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(V_w,T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__4_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(V_w,T_a),T_a)+ | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0),T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__5_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1),T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__6_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_Numeral_Onumber__of(V_x,T_a),c_Numeral_Onumber__of(V_y,T_a),T_a)+ | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(V_y)),T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__6_1,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(V_x,c_Numeral_Obin__minus(V_y)),T_a),T_a)+ | c_less(c_Numeral_Onumber__of(V_x,T_a),c_Numeral_Onumber__of(V_y,T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__7_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,T_a),T_a) )).++cnf(cls_Numeral_Obin__rel__simps__8_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_0,T_a) )).++cnf(cls_Numeral_Obin__rel__simps__9_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_IntDef_Oneg(c_1,T_a) )).++cnf(cls_Numeral_Obin__succ__0_0,axiom,+ ( c_Numeral_Obin__succ(c_Numeral_OBit(V_w,c_Numeral_Obit_OB0)) = c_Numeral_OBit(V_w,c_Numeral_Obit_OB1) )).++cnf(cls_Numeral_Obin__succ__1_0,axiom,+ ( c_Numeral_Obin__succ(c_Numeral_OBit(V_w,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__succ(V_w),c_Numeral_Obit_OB0) )).++cnf(cls_Numeral_Obin__succ__Min_0,axiom,+ ( c_Numeral_Obin__succ(c_Numeral_OMin) = c_Numeral_OPls )).++cnf(cls_Numeral_Obin__succ__Pls_0,axiom,+ ( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) )).++cnf(cls_Numeral_Obit_Ocases__1_0,axiom,+ ( c_Numeral_Obit_Obit__case(V_y,V_f2,c_Numeral_Obit_OB0,T_a) = V_y )).++cnf(cls_Numeral_Obit_Ocases__2_0,axiom,+ ( c_Numeral_Obit_Obit__case(V_f1,V_y,c_Numeral_Obit_OB1,T_a) = V_y )).++cnf(cls_Numeral_Obit_Odistinct__1_0,axiom,+ ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 )).++cnf(cls_Numeral_Obit_Odistinct__2_0,axiom,+ ( c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0 )).++cnf(cls_Numeral_Obit_Orecs__1_0,axiom,+ ( c_Numeral_Obit_Obit__rec(V_y,V_f2,c_Numeral_Obit_OB0,T_a) = V_y )).++cnf(cls_Numeral_Obit_Orecs__2_0,axiom,+ ( c_Numeral_Obit_Obit__rec(V_f1,V_y,c_Numeral_Obit_OB1,T_a) = V_y )).++cnf(cls_Numeral_Obit_Osize__1_0,axiom,+ ( c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) = c_0 )).++cnf(cls_Numeral_Obit_Osize__2_0,axiom,+ ( c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) = c_0 )).++cnf(cls_Numeral_Ominus__number__of__mult_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_times(c_uminus(c_Numeral_Onumber__of(V_w,T_a),T_a),V_z,T_a) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(V_w),T_a),V_z,T_a) )).++cnf(cls_Numeral_Omult__minus1_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,T_a),V_z,T_a) = c_uminus(V_z,T_a) )).++cnf(cls_Numeral_Omult__minus1__right_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_times(V_z,c_Numeral_Onumber__of(c_Numeral_OMin,T_a),T_a) = c_uminus(V_z,T_a) )).++cnf(cls_Numeral_Omult__number__of__left_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_times(c_Numeral_Onumber__of(V_v,T_a),c_times(c_Numeral_Onumber__of(V_w,T_a),V_z,T_a),T_a) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(V_v,V_w),T_a),V_z,T_a) )).++cnf(cls_Numeral_Onumeral__0__eq__0_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_Numeral_Onumber__of(c_Numeral_OPls,T_a) = c_0 )).++cnf(cls_Numeral_Onumeral__1__eq__1_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),T_a) = c_1 )).++cnf(cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_plus(c_uminus(V_a,T_a),V_a,T_a) = c_0 )).++cnf(cls_OrderedGroup_Oabs__0__eq_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | c_0 != c_HOL_Oabs(V_a,T_a)+ | V_a = c_0 )).++cnf(cls_OrderedGroup_Oabs__0__eq_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | c_0 = c_HOL_Oabs(c_0,T_a) )).++cnf(cls_OrderedGroup_Oabs__add__abs_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | c_HOL_Oabs(c_plus(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a),T_a) = c_plus(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a) )).++cnf(cls_OrderedGroup_Oabs__eq__0_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | c_HOL_Oabs(V_a,T_a) != c_0+ | V_a = c_0 )).++cnf(cls_OrderedGroup_Oabs__eq__0_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | c_HOL_Oabs(c_0,T_a) = c_0 )).++cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) )).++cnf(cls_OrderedGroup_Oabs__idempotent_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | c_HOL_Oabs(c_HOL_Oabs(V_a,T_a),T_a) = c_HOL_Oabs(V_a,T_a) )).++cnf(cls_OrderedGroup_Oabs__le__zero__iff_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | ~ c_lessequals(c_HOL_Oabs(V_a,T_a),c_0,T_a)+ | V_a = c_0 )).++cnf(cls_OrderedGroup_Oabs__le__zero__iff_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | c_lessequals(c_HOL_Oabs(c_0,T_a),c_0,T_a) )).++cnf(cls_OrderedGroup_Oabs__minus__cancel_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | c_HOL_Oabs(c_uminus(V_a,T_a),T_a) = c_HOL_Oabs(V_a,T_a) )).++cnf(cls_OrderedGroup_Oabs__not__less__zero_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | ~ c_less(c_HOL_Oabs(V_a,T_a),c_0,T_a) )).++cnf(cls_OrderedGroup_Oabs__of__nonneg_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | ~ c_lessequals(c_0,V_y,T_a)+ | c_HOL_Oabs(V_y,T_a) = V_y )).++cnf(cls_OrderedGroup_Oabs__of__nonpos_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | ~ c_lessequals(V_a,c_0,T_a)+ | c_HOL_Oabs(V_a,T_a) = c_uminus(V_a,T_a) )).++cnf(cls_OrderedGroup_Oadd__0__right_0,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)+ | c_plus(V_y,c_0,T_a) = V_y )).++cnf(cls_OrderedGroup_Oadd__le__cancel__left_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)+ | ~ c_lessequals(c_plus(V_c,V_a,T_a),c_plus(V_c,V_b,T_a),T_a)+ | c_lessequals(V_a,V_b,T_a) )).++cnf(cls_OrderedGroup_Oadd__le__cancel__left_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)+ | ~ c_lessequals(V_a,V_b,T_a)+ | c_lessequals(c_plus(V_c,V_a,T_a),c_plus(V_c,V_b,T_a),T_a) )).++cnf(cls_OrderedGroup_Oadd__le__cancel__right_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)+ | ~ c_lessequals(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a)+ | c_lessequals(V_a,V_b,T_a) )).++cnf(cls_OrderedGroup_Oadd__le__cancel__right_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)+ | ~ c_lessequals(V_a,V_b,T_a)+ | c_lessequals(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a) )).++cnf(cls_OrderedGroup_Oadd__left__cancel_0,axiom,+ ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)+ | c_plus(V_a,V_b,T_a) != c_plus(V_a,V_c,T_a)+ | V_b = V_c )).++cnf(cls_OrderedGroup_Oadd__less__cancel__left_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)+ | ~ c_less(c_plus(V_c,V_a,T_a),c_plus(V_c,V_b,T_a),T_a)+ | c_less(V_a,V_b,T_a) )).++cnf(cls_OrderedGroup_Oadd__less__cancel__left_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)+ | ~ c_less(V_a,V_b,T_a)+ | c_less(c_plus(V_c,V_a,T_a),c_plus(V_c,V_b,T_a),T_a) )).++cnf(cls_OrderedGroup_Oadd__less__cancel__right_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)+ | ~ c_less(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a)+ | c_less(V_a,V_b,T_a) )).++cnf(cls_OrderedGroup_Oadd__less__cancel__right_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)+ | ~ c_less(V_a,V_b,T_a)+ | c_less(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a) )).++cnf(cls_OrderedGroup_Oadd__right__cancel_0,axiom,+ ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)+ | c_plus(V_b,V_a,T_a) != c_plus(V_c,V_a,T_a)+ | V_b = V_c )).++cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,+ ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)+ | c_plus(c_0,V_y,T_a) = V_y )).++cnf(cls_OrderedGroup_Odiff__0_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_minus(c_0,V_a,T_a) = c_uminus(V_a,T_a) )).++cnf(cls_OrderedGroup_Odiff__0__right_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_minus(V_y,c_0,T_a) = V_y )).++cnf(cls_OrderedGroup_Odiff__eq__0__iff__eq_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_minus(V_a,V_b,T_a) != c_0+ | V_a = V_b )).++cnf(cls_OrderedGroup_Odiff__le__0__iff__le_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_lessequals(c_minus(V_a,V_b,T_a),c_0,T_a)+ | c_lessequals(V_a,V_b,T_a) )).++cnf(cls_OrderedGroup_Odiff__le__0__iff__le_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_lessequals(V_a,V_b,T_a)+ | c_lessequals(c_minus(V_a,V_b,T_a),c_0,T_a) )).++cnf(cls_OrderedGroup_Odiff__less__0__iff__less_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_less(c_minus(V_a,V_b,T_a),c_0,T_a)+ | c_less(V_a,V_b,T_a) )).++cnf(cls_OrderedGroup_Odiff__less__0__iff__less_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_less(V_a,V_b,T_a)+ | c_less(c_minus(V_a,V_b,T_a),c_0,T_a) )).++cnf(cls_OrderedGroup_Odiff__minus__eq__add_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_minus(V_a,c_uminus(V_b,T_a),T_a) = c_plus(V_a,V_b,T_a) )).++cnf(cls_OrderedGroup_Odiff__self_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_minus(V_a,V_a,T_a) = c_0 )).++cnf(cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | ~ c_lessequals(c_plus(V_a,V_a,T_a),c_0,T_a)+ | c_lessequals(V_a,c_0,T_a) )).++cnf(cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | ~ c_lessequals(V_a,c_0,T_a)+ | c_lessequals(c_plus(V_a,V_a,T_a),c_0,T_a) )).++cnf(cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ class_Orderings_Olinorder(T_a)+ | ~ c_less(c_plus(V_a,V_a,T_a),c_0,T_a)+ | c_less(V_a,c_0,T_a) )).++cnf(cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ class_Orderings_Olinorder(T_a)+ | ~ c_less(V_a,c_0,T_a)+ | c_less(c_plus(V_a,V_a,T_a),c_0,T_a) )).++cnf(cls_OrderedGroup_Ojoin__0__eq__0_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | c_LOrder_Ojoin(V_a,c_uminus(V_a,T_a),T_a) != c_0+ | V_a = c_0 )).++cnf(cls_OrderedGroup_Ojoin__0__eq__0_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | c_LOrder_Ojoin(c_0,c_uminus(c_0,T_a),T_a) = c_0 )).++cnf(cls_OrderedGroup_Omeet__0__eq__0_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | c_LOrder_Omeet(V_a,c_uminus(V_a,T_a),T_a) != c_0+ | V_a = c_0 )).++cnf(cls_OrderedGroup_Omeet__0__eq__0_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | c_LOrder_Omeet(c_0,c_uminus(c_0,T_a),T_a) = c_0 )).++cnf(cls_OrderedGroup_Ominus__add__distrib_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_uminus(c_plus(V_a,V_b,T_a),T_a) = c_plus(c_uminus(V_a,T_a),c_uminus(V_b,T_a),T_a) )).++cnf(cls_OrderedGroup_Ominus__diff__eq_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_uminus(c_minus(V_a,V_b,T_a),T_a) = c_minus(V_b,V_a,T_a) )).++cnf(cls_OrderedGroup_Ominus__minus_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_uminus(c_uminus(V_y,T_a),T_a) = V_y )).++cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,axiom,+ ( ~ class_OrderedGroup_Omonoid__mult(T_a)+ | c_times(c_1,V_y,T_a) = V_y )).++cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__2_0,axiom,+ ( ~ class_OrderedGroup_Omonoid__mult(T_a)+ | c_times(V_y,c_1,T_a) = V_y )).++cnf(cls_OrderedGroup_Oneg__0__equal__iff__equal_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_0 != c_uminus(V_a,T_a)+ | c_0 = V_a )).++cnf(cls_OrderedGroup_Oneg__0__equal__iff__equal_1,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_0 = c_uminus(c_0,T_a) )).++cnf(cls_OrderedGroup_Oneg__0__le__iff__le_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_lessequals(c_0,c_uminus(V_a,T_a),T_a)+ | c_lessequals(V_a,c_0,T_a) )).++cnf(cls_OrderedGroup_Oneg__0__le__iff__le_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_lessequals(V_a,c_0,T_a)+ | c_lessequals(c_0,c_uminus(V_a,T_a),T_a) )).++cnf(cls_OrderedGroup_Oneg__0__less__iff__less_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_less(c_0,c_uminus(V_a,T_a),T_a)+ | c_less(V_a,c_0,T_a) )).++cnf(cls_OrderedGroup_Oneg__0__less__iff__less_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_less(V_a,c_0,T_a)+ | c_less(c_0,c_uminus(V_a,T_a),T_a) )).++cnf(cls_OrderedGroup_Oneg__equal__0__iff__equal_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_uminus(V_a,T_a) != c_0+ | V_a = c_0 )).++cnf(cls_OrderedGroup_Oneg__equal__0__iff__equal_1,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_uminus(c_0,T_a) = c_0 )).++cnf(cls_OrderedGroup_Oneg__equal__iff__equal_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_uminus(V_a,T_a) != c_uminus(V_b,T_a)+ | V_a = V_b )).++cnf(cls_OrderedGroup_Oneg__join__eq__meet_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | c_uminus(c_LOrder_Ojoin(V_a,V_b,T_a),T_a) = c_LOrder_Omeet(c_uminus(V_a,T_a),c_uminus(V_b,T_a),T_a) )).++cnf(cls_OrderedGroup_Oneg__le__0__iff__le_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_lessequals(c_uminus(V_a,T_a),c_0,T_a)+ | c_lessequals(c_0,V_a,T_a) )).++cnf(cls_OrderedGroup_Oneg__le__0__iff__le_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_lessequals(c_0,V_a,T_a)+ | c_lessequals(c_uminus(V_a,T_a),c_0,T_a) )).++cnf(cls_OrderedGroup_Oneg__le__iff__le_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_lessequals(c_uminus(V_b,T_a),c_uminus(V_a,T_a),T_a)+ | c_lessequals(V_a,V_b,T_a) )).++cnf(cls_OrderedGroup_Oneg__le__iff__le_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_lessequals(V_a,V_b,T_a)+ | c_lessequals(c_uminus(V_b,T_a),c_uminus(V_a,T_a),T_a) )).++cnf(cls_OrderedGroup_Oneg__less__0__iff__less_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_less(c_uminus(V_a,T_a),c_0,T_a)+ | c_less(c_0,V_a,T_a) )).++cnf(cls_OrderedGroup_Oneg__less__0__iff__less_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_less(c_0,V_a,T_a)+ | c_less(c_uminus(V_a,T_a),c_0,T_a) )).++cnf(cls_OrderedGroup_Oneg__less__iff__less_0,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_less(c_uminus(V_b,T_a),c_uminus(V_a,T_a),T_a)+ | c_less(V_a,V_b,T_a) )).++cnf(cls_OrderedGroup_Oneg__less__iff__less_1,axiom,+ ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)+ | ~ c_less(V_a,V_b,T_a)+ | c_less(c_uminus(V_b,T_a),c_uminus(V_a,T_a),T_a) )).++cnf(cls_OrderedGroup_Oneg__meet__eq__join_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | c_uminus(c_LOrder_Omeet(V_a,V_b,T_a),T_a) = c_LOrder_Ojoin(c_uminus(V_a,T_a),c_uminus(V_b,T_a),T_a) )).++cnf(cls_OrderedGroup_Onprt__0_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | c_OrderedGroup_Onprt(c_0,T_a) = c_0 )).++cnf(cls_OrderedGroup_Onprt__eq__0_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | ~ c_lessequals(c_0,V_x,T_a)+ | c_OrderedGroup_Onprt(V_x,T_a) = c_0 )).++cnf(cls_OrderedGroup_Onprt__eq__id_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | ~ c_lessequals(V_y,c_0,T_a)+ | c_OrderedGroup_Onprt(V_y,T_a) = V_y )).++cnf(cls_OrderedGroup_Onprt__le__zero_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | c_lessequals(c_OrderedGroup_Onprt(V_a,T_a),c_0,T_a) )).++cnf(cls_OrderedGroup_Onprt__mono_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | ~ c_lessequals(V_a,V_b,T_a)+ | c_lessequals(c_OrderedGroup_Onprt(V_a,T_a),c_OrderedGroup_Onprt(V_b,T_a),T_a) )).++cnf(cls_OrderedGroup_Opprt__0_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | c_OrderedGroup_Opprt(c_0,T_a) = c_0 )).++cnf(cls_OrderedGroup_Opprt__eq__0_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | ~ c_lessequals(V_x,c_0,T_a)+ | c_OrderedGroup_Opprt(V_x,T_a) = c_0 )).++cnf(cls_OrderedGroup_Opprt__eq__id_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | ~ c_lessequals(c_0,V_y,T_a)+ | c_OrderedGroup_Opprt(V_y,T_a) = V_y )).++cnf(cls_OrderedGroup_Opprt__mono_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | ~ c_lessequals(V_a,V_b,T_a)+ | c_lessequals(c_OrderedGroup_Opprt(V_a,T_a),c_OrderedGroup_Opprt(V_b,T_a),T_a) )).++cnf(cls_OrderedGroup_Oright__minus_0,axiom,+ ( ~ class_OrderedGroup_Oab__group__add(T_a)+ | c_plus(V_a,c_uminus(V_a,T_a),T_a) = c_0 )).++cnf(cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | ~ c_lessequals(c_0,c_plus(V_a,V_a,T_a),T_a)+ | c_lessequals(c_0,V_a,T_a) )).++cnf(cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | ~ c_lessequals(c_0,V_a,T_a)+ | c_lessequals(c_0,c_plus(V_a,V_a,T_a),T_a) )).++cnf(cls_OrderedGroup_Ozero__le__pprt_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group(T_a)+ | c_lessequals(c_0,c_OrderedGroup_Opprt(V_a,T_a),T_a) )).++cnf(cls_OrderedGroup_Ozero__less__abs__iff_0,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | ~ c_less(c_0,c_HOL_Oabs(c_0,T_a),T_a) )).++cnf(cls_OrderedGroup_Ozero__less__abs__iff_1,axiom,+ ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)+ | c_less(c_0,c_HOL_Oabs(V_a,T_a),T_a)+ | V_a = c_0 )).++cnf(cls_Orderings_Omax__less__iff__conj_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_less(c_Orderings_Omax(V_x,V_y,T_a),V_z,T_a)+ | c_less(V_x,V_z,T_a) )).++cnf(cls_Orderings_Omax__less__iff__conj_1,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_less(c_Orderings_Omax(V_x,V_y,T_a),V_z,T_a)+ | c_less(V_y,V_z,T_a) )).++cnf(cls_Orderings_Omax__less__iff__conj_2,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_less(V_y,V_z,T_a)+ | ~ c_less(V_x,V_z,T_a)+ | c_less(c_Orderings_Omax(V_x,V_y,T_a),V_z,T_a) )).++cnf(cls_Orderings_Omin__less__iff__conj_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_less(V_z,c_Orderings_Omin(V_x,V_y,T_a),T_a)+ | c_less(V_z,V_x,T_a) )).++cnf(cls_Orderings_Omin__less__iff__conj_1,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_less(V_z,c_Orderings_Omin(V_x,V_y,T_a),T_a)+ | c_less(V_z,V_y,T_a) )).++cnf(cls_Orderings_Omin__less__iff__conj_2,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_less(V_z,V_y,T_a)+ | ~ c_less(V_z,V_x,T_a)+ | c_less(V_z,c_Orderings_Omin(V_x,V_y,T_a),T_a) )).++cnf(cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_0,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | ~ c_lessequals(V_x,c_Orderings_Omin(V_y,V_z,T_b),T_b)+ | c_lessequals(V_x,V_y,T_b) )).++cnf(cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_1,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | ~ c_lessequals(V_x,c_Orderings_Omin(V_y,V_z,T_b),T_b)+ | c_lessequals(V_x,V_z,T_b) )).++cnf(cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_2,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | ~ c_lessequals(V_x,V_z,T_b)+ | ~ c_lessequals(V_x,V_y,T_b)+ | c_lessequals(V_x,c_Orderings_Omin(V_y,V_z,T_b),T_b) )).++cnf(cls_Orderings_Omin__max_Obelow__inf_Oinf__idem_0,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | c_Orderings_Omin(V_y,V_y,T_b) = V_y )).++cnf(cls_Orderings_Omin__max_Obelow__inf_Oinf__left__idem_0,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | c_Orderings_Omin(V_x,c_Orderings_Omin(V_x,V_y,T_b),T_b) = c_Orderings_Omin(V_x,V_y,T_b) )).++cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | ~ c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b)+ | c_lessequals(V_x,V_z,T_b) )).++cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_1,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | ~ c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b)+ | c_lessequals(V_y,V_z,T_b) )).++cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | ~ c_lessequals(V_y,V_z,T_b)+ | ~ c_lessequals(V_x,V_z,T_b)+ | c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b) )).++cnf(cls_Orderings_Omin__max_Obelow__sup_Osup__idem_0,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | c_Orderings_Omax(V_y,V_y,T_b) = V_y )).++cnf(cls_Orderings_Omin__max_Obelow__sup_Osup__left__idem_0,axiom,+ ( ~ class_Orderings_Olinorder(T_b)+ | c_Orderings_Omax(V_x,c_Orderings_Omax(V_x,V_y,T_b),T_b) = c_Orderings_Omax(V_x,V_y,T_b) )).++cnf(cls_Orderings_Oorder__less__irrefl_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_less(V_x,V_x,T_a) )).++cnf(cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_0,axiom,+ ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(V_v,tc_nat),tc_nat)+ | c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(V_v,tc_nat)),tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_1,axiom,+ ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(V_v,tc_nat)),tc_IntDef_Oint)+ | c_Parity_Oeven(c_Numeral_Onumber__of(V_v,tc_nat),tc_nat) )).++cnf(cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Anumber__of_Av_Amod_A2_A_61_A0_0,axiom,+ ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0 )).++cnf(cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Anumber__of_Av_Amod_A2_A_61_A0_1,axiom,+ ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0+ | c_Parity_Oeven(c_Numeral_Onumber__of(V_v,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__difference_0,axiom,+ ( ~ c_Parity_Oeven(V_y,tc_IntDef_Oint)+ | ~ c_Parity_Oeven(c_minus(V_x,V_y,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Parity_Oeven(V_x,tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__difference_1,axiom,+ ( ~ c_Parity_Oeven(V_x,tc_IntDef_Oint)+ | ~ c_Parity_Oeven(c_minus(V_x,V_y,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Parity_Oeven(V_y,tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__difference_2,axiom,+ ( ~ c_Parity_Oeven(V_y,tc_IntDef_Oint)+ | ~ c_Parity_Oeven(V_x,tc_IntDef_Oint)+ | c_Parity_Oeven(c_minus(V_x,V_y,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__difference_3,axiom,+ ( c_Parity_Oeven(V_y,tc_IntDef_Oint)+ | c_Parity_Oeven(V_x,tc_IntDef_Oint)+ | c_Parity_Oeven(c_minus(V_x,V_y,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__nat__Suc_0,axiom,+ ( ~ c_Parity_Oeven(V_x,tc_nat)+ | ~ c_Parity_Oeven(c_Suc(V_x),tc_nat) )).++cnf(cls_Parity_Oeven__nat__Suc_1,axiom,+ ( c_Parity_Oeven(V_x,tc_nat)+ | c_Parity_Oeven(c_Suc(V_x),tc_nat) )).++cnf(cls_Parity_Oeven__nat__power_0,axiom,+ ( ~ c_Parity_Oeven(c_Nat_Opower(V_x,V_y,tc_nat),tc_nat)+ | c_Parity_Oeven(V_x,tc_nat) )).++cnf(cls_Parity_Oeven__nat__power_1,axiom,+ ( ~ c_Parity_Oeven(c_Nat_Opower(V_x,V_y,tc_nat),tc_nat)+ | c_less(c_0,V_y,tc_nat) )).++cnf(cls_Parity_Oeven__nat__power_2,axiom,+ ( ~ c_Parity_Oeven(V_x,tc_nat)+ | ~ c_less(c_0,V_y,tc_nat)+ | c_Parity_Oeven(c_Nat_Opower(V_x,V_y,tc_nat),tc_nat) )).++cnf(cls_Parity_Oeven__nat__product_0,axiom,+ ( ~ c_Parity_Oeven(c_times(V_x,V_y,tc_nat),tc_nat)+ | c_Parity_Oeven(V_y,tc_nat)+ | c_Parity_Oeven(V_x,tc_nat) )).++cnf(cls_Parity_Oeven__nat__product_1,axiom,+ ( ~ c_Parity_Oeven(V_x,tc_nat)+ | c_Parity_Oeven(c_times(V_x,V_y,tc_nat),tc_nat) )).++cnf(cls_Parity_Oeven__nat__product_2,axiom,+ ( ~ c_Parity_Oeven(V_y,tc_nat)+ | c_Parity_Oeven(c_times(V_x,V_y,tc_nat),tc_nat) )).++cnf(cls_Parity_Oeven__nat__sum_0,axiom,+ ( ~ c_Parity_Oeven(V_y,tc_nat)+ | ~ c_Parity_Oeven(c_plus(V_x,V_y,tc_nat),tc_nat)+ | c_Parity_Oeven(V_x,tc_nat) )).++cnf(cls_Parity_Oeven__nat__sum_1,axiom,+ ( ~ c_Parity_Oeven(V_x,tc_nat)+ | ~ c_Parity_Oeven(c_plus(V_x,V_y,tc_nat),tc_nat)+ | c_Parity_Oeven(V_y,tc_nat) )).++cnf(cls_Parity_Oeven__nat__sum_2,axiom,+ ( ~ c_Parity_Oeven(V_y,tc_nat)+ | ~ c_Parity_Oeven(V_x,tc_nat)+ | c_Parity_Oeven(c_plus(V_x,V_y,tc_nat),tc_nat) )).++cnf(cls_Parity_Oeven__nat__sum_3,axiom,+ ( c_Parity_Oeven(V_y,tc_nat)+ | c_Parity_Oeven(V_x,tc_nat)+ | c_Parity_Oeven(c_plus(V_x,V_y,tc_nat),tc_nat) )).++cnf(cls_Parity_Oeven__nat__zero_0,axiom,+ ( c_Parity_Oeven(c_0,tc_nat) )).++cnf(cls_Parity_Oeven__neg_0,axiom,+ ( ~ c_Parity_Oeven(c_uminus(V_x,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Parity_Oeven(V_x,tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__neg_1,axiom,+ ( ~ c_Parity_Oeven(V_x,tc_IntDef_Oint)+ | c_Parity_Oeven(c_uminus(V_x,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__power_0,axiom,+ ( ~ c_Parity_Oeven(c_Nat_Opower(V_x,V_n,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Parity_Oeven(V_x,tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__power_1,axiom,+ ( ~ c_Parity_Oeven(c_Nat_Opower(V_x,V_n,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_less(c_0,V_n,tc_nat) )).++cnf(cls_Parity_Oeven__power_2,axiom,+ ( ~ c_Parity_Oeven(V_x,tc_IntDef_Oint)+ | ~ c_less(c_0,V_n,tc_nat)+ | c_Parity_Oeven(c_Nat_Opower(V_x,V_n,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__product_0,axiom,+ ( ~ c_Parity_Oeven(c_times(V_x,V_y,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Parity_Oeven(V_y,tc_IntDef_Oint)+ | c_Parity_Oeven(V_x,tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__product_1,axiom,+ ( ~ c_Parity_Oeven(V_x,tc_IntDef_Oint)+ | c_Parity_Oeven(c_times(V_x,V_y,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__product_2,axiom,+ ( ~ c_Parity_Oeven(V_y,tc_IntDef_Oint)+ | c_Parity_Oeven(c_times(V_x,V_y,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__sum_0,axiom,+ ( ~ c_Parity_Oeven(V_y,tc_IntDef_Oint)+ | ~ c_Parity_Oeven(c_plus(V_x,V_y,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Parity_Oeven(V_x,tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__sum_1,axiom,+ ( ~ c_Parity_Oeven(V_x,tc_IntDef_Oint)+ | ~ c_Parity_Oeven(c_plus(V_x,V_y,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Parity_Oeven(V_y,tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__sum_2,axiom,+ ( ~ c_Parity_Oeven(V_y,tc_IntDef_Oint)+ | ~ c_Parity_Oeven(V_x,tc_IntDef_Oint)+ | c_Parity_Oeven(c_plus(V_x,V_y,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__sum_3,axiom,+ ( c_Parity_Oeven(V_y,tc_IntDef_Oint)+ | c_Parity_Oeven(V_x,tc_IntDef_Oint)+ | c_Parity_Oeven(c_plus(V_x,V_y,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_Parity_Oeven__zero_0,axiom,+ ( c_Parity_Oeven(c_0,tc_IntDef_Oint) )).++cnf(cls_Parity_Ominus__one__even__power_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | ~ c_Parity_Oeven(V_x,tc_nat)+ | c_Nat_Opower(c_uminus(c_1,T_a),V_x,T_a) = c_1 )).++cnf(cls_Parity_Ominus__one__odd__power_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_Parity_Oeven(V_x,tc_nat)+ | c_Nat_Opower(c_uminus(c_1,T_a),V_x,T_a) = c_uminus(c_1,T_a) )).++cnf(cls_Parity_Oneg__one__even__power_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Power_Orecpower(T_a)+ | ~ c_Parity_Oeven(V_x,tc_nat)+ | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,T_a),V_x,T_a) = c_1 )).++cnf(cls_Parity_Oneg__one__odd__power_0,axiom,+ ( ~ class_Numeral_Onumber__ring(T_a)+ | ~ class_Power_Orecpower(T_a)+ | c_Parity_Oeven(V_x,tc_nat)+ | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,T_a),V_x,T_a) = c_Numeral_Onumber__of(c_Numeral_OMin,T_a) )).++cnf(cls_Parity_Oneq__one__mod__two_0,axiom,+ ( c_Divides_Oop_Amod(V_x,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0+ | c_Divides_Oop_Amod(V_x,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1 )).++cnf(cls_Parity_Oneq__one__mod__two_1,axiom,+ ( c_Divides_Oop_Amod(V_x,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0+ | c_Divides_Oop_Amod(V_x,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1 )).++cnf(cls_Parity_Oodd__one_0,axiom,+ ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) )).++cnf(cls_Parity_Opower__0__left__number__of_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | c_Numeral_Onumber__of(V_w,tc_nat) != c_0+ | c_Nat_Opower(c_0,c_Numeral_Onumber__of(V_w,tc_nat),T_a) = c_1 )).++cnf(cls_Parity_Opower__0__left__number__of_1,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | c_Nat_Opower(c_0,c_Numeral_Onumber__of(V_w,tc_nat),T_a) = c_0+ | c_Numeral_Onumber__of(V_w,tc_nat) = c_0 )).++cnf(cls_Parity_Opower__eq__0__iff__number__of_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_Nat_Opower(V_a,c_Numeral_Onumber__of(V_w,tc_nat),T_a) != c_0+ | V_a = c_0 )).++cnf(cls_Parity_Opower__eq__0__iff__number__of_1,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_Nat_Opower(V_a,c_Numeral_Onumber__of(V_w,tc_nat),T_a) != c_0+ | c_less(c_0,c_Numeral_Onumber__of(V_w,tc_nat),tc_nat) )).++cnf(cls_Parity_Opower__eq__0__iff__number__of_2,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_0,c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_Nat_Opower(c_0,c_Numeral_Onumber__of(V_w,tc_nat),T_a) = c_0 )).++cnf(cls_Parity_Opower__even__abs__number__of_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_Nat_Opower(c_HOL_Oabs(V_x,T_a),c_Numeral_Onumber__of(V_w,tc_nat),T_a) = c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a) )).++cnf(cls_Parity_Opower__le__zero__eq__number__of_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),c_0,T_a)+ | c_Numeral_Onumber__of(V_w,tc_nat) != c_0 )).++cnf(cls_Parity_Opower__le__zero__eq__number__of_1,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | ~ c_lessequals(c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),c_0,T_a)+ | V_x = c_0 )).++cnf(cls_Parity_Opower__le__zero__eq__number__of_2,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),c_0,T_a)+ | c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_lessequals(V_x,c_0,T_a) )).++cnf(cls_Parity_Opower__le__zero__eq__number__of_3,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),c_0,T_a)+ | c_lessequals(V_x,c_0,T_a)+ | V_x = c_0 )).++cnf(cls_Parity_Opower__le__zero__eq__number__of_4,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(V_x,c_0,T_a)+ | c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_lessequals(c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),c_0,T_a)+ | c_Numeral_Onumber__of(V_w,tc_nat) = c_0 )).++cnf(cls_Parity_Opower__le__zero__eq__number__of_5,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(V_w,tc_nat),T_a),c_0,T_a)+ | c_Numeral_Onumber__of(V_w,tc_nat) = c_0 )).++cnf(cls_Parity_Opower__less__zero__eq__number__of_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | ~ c_less(c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),c_0,T_a) )).++cnf(cls_Parity_Opower__less__zero__eq__number__of_1,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),c_0,T_a)+ | c_less(V_x,c_0,T_a) )).++cnf(cls_Parity_Opower__less__zero__eq__number__of_2,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(V_x,c_0,T_a)+ | c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_less(c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),c_0,T_a) )).++cnf(cls_Parity_Opower__minus__even_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | ~ c_Parity_Oeven(V_n,tc_nat)+ | c_Nat_Opower(c_uminus(V_x,T_a),V_n,T_a) = c_Nat_Opower(V_x,V_n,T_a) )).++cnf(cls_Parity_Opower__minus__odd_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Ocomm__ring__1(T_a)+ | c_Parity_Oeven(V_n,tc_nat)+ | c_Nat_Opower(c_uminus(V_x,T_a),V_n,T_a) = c_uminus(c_Nat_Opower(V_x,V_n,T_a),T_a) )).++cnf(cls_Parity_Ozero__le__power__eq__number__of_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(c_0,c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),T_a)+ | c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_lessequals(c_0,V_x,T_a) )).++cnf(cls_Parity_Ozero__le__power__eq__number__of_1,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_lessequals(c_0,c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),T_a) )).++cnf(cls_Parity_Ozero__le__power__eq__number__of_2,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_lessequals(c_0,V_x,T_a)+ | c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_lessequals(c_0,c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),T_a) )).++cnf(cls_Parity_Ozero__less__power__eq__number__of_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_0,c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),T_a)+ | c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_less(c_0,V_x,T_a)+ | c_Numeral_Onumber__of(V_w,tc_nat) = c_0 )).++cnf(cls_Parity_Ozero__less__power__eq__number__of_1,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(V_w,tc_nat),T_a),T_a)+ | c_Numeral_Onumber__of(V_w,tc_nat) = c_0 )).++cnf(cls_Parity_Ozero__less__power__eq__number__of_2,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(V_w,tc_nat),T_a),T_a)+ | c_less(c_0,c_0,T_a)+ | c_Numeral_Onumber__of(V_w,tc_nat) = c_0 )).++cnf(cls_Parity_Ozero__less__power__eq__number__of_3,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_Numeral_Onumber__of(V_w,tc_nat) != c_0+ | c_less(c_0,c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),T_a) )).++cnf(cls_Parity_Ozero__less__power__eq__number__of_4,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_less(c_0,c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),T_a)+ | V_x = c_0 )).++cnf(cls_Parity_Ozero__less__power__eq__number__of_5,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_0,V_x,T_a)+ | c_Parity_Oeven(c_Numeral_Onumber__of(V_w,tc_nat),tc_nat)+ | c_less(c_0,c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),T_a),T_a) )).++cnf(cls_Parity_Ozero__less__power__nat__eq__number__of_0,axiom,+ ( ~ c_less(c_0,c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),tc_nat),tc_nat)+ | c_less(c_0,V_x,tc_nat)+ | c_Numeral_Onumber__of(V_w,tc_nat) = c_0 )).++cnf(cls_Parity_Ozero__less__power__nat__eq__number__of_1,axiom,+ ( c_Numeral_Onumber__of(V_w,tc_nat) != c_0+ | c_less(c_0,c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),tc_nat),tc_nat) )).++cnf(cls_Parity_Ozero__less__power__nat__eq__number__of_2,axiom,+ ( ~ c_less(c_0,V_x,tc_nat)+ | c_less(c_0,c_Nat_Opower(V_x,c_Numeral_Onumber__of(V_w,tc_nat),tc_nat),tc_nat) )).++cnf(cls_Power_Onat__one__le__power_0,axiom,+ ( ~ c_lessequals(c_1,V_i,tc_nat)+ | c_lessequals(c_Suc(c_0),c_Nat_Opower(V_i,V_n,tc_nat),tc_nat) )).++cnf(cls_Power_Onat__zero__less__power__iff_0,axiom,+ ( ~ c_less(c_0,c_Nat_Opower(c_0,V_n,tc_nat),tc_nat)+ | V_n = c_0 )).++cnf(cls_Power_Onat__zero__less__power__iff_1,axiom,+ ( c_less(c_0,c_Nat_Opower(V_x,V_n,tc_nat),tc_nat)+ | V_x = c_0 )).++cnf(cls_Power_Onat__zero__less__power__iff_2,axiom,+ ( c_less(c_0,c_Nat_Opower(V_x,c_0,tc_nat),tc_nat) )).++cnf(cls_Power_Opower_Osimps__1_0,axiom,+ ( c_Nat_Opower(V_p,c_0,tc_nat) = c_1 )).++cnf(cls_Power_Opower_Osimps__2_0,axiom,+ ( c_Nat_Opower(V_p,c_Suc(V_n),tc_nat) = c_times(V_p,c_Nat_Opower(V_p,V_n,tc_nat),tc_nat) )).++cnf(cls_Power_Opower__0__Suc_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | c_Nat_Opower(c_0,c_Suc(V_n),T_a) = c_0 )).++cnf(cls_Power_Opower__eq__0__iff_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_Nat_Opower(V_a,V_n,T_a) != c_0+ | V_a = c_0 )).++cnf(cls_Power_Opower__eq__0__iff_1,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_Nat_Opower(V_a,V_n,T_a) != c_0+ | c_less(c_0,V_n,tc_nat) )).++cnf(cls_Power_Opower__eq__0__iff_2,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_0,V_n,tc_nat)+ | c_Nat_Opower(c_0,V_n,T_a) = c_0 )).++cnf(cls_Power_Opower__increasing__iff_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_less(c_1,V_b,T_a)+ | ~ c_lessequals(c_Nat_Opower(V_b,V_x,T_a),c_Nat_Opower(V_b,V_y,T_a),T_a)+ | c_lessequals(V_x,V_y,tc_nat) )).++cnf(cls_Power_Opower__increasing__iff_1,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_less(c_1,V_b,T_a)+ | ~ c_lessequals(V_x,V_y,tc_nat)+ | c_lessequals(c_Nat_Opower(V_b,V_x,T_a),c_Nat_Opower(V_b,V_y,T_a),T_a) )).++cnf(cls_Power_Opower__inject__exp_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_less(c_1,V_a,T_a)+ | c_Nat_Opower(V_a,V_m,T_a) != c_Nat_Opower(V_a,V_n,T_a)+ | V_m = V_n )).++cnf(cls_Power_Opower__one_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | c_Nat_Opower(c_1,V_n,T_a) = c_1 )).++cnf(cls_Power_Opower__one__right_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | c_Nat_Opower(V_y,c_1,T_a) = V_y )).++cnf(cls_Power_Opower__strict__increasing__iff_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_less(c_1,V_b,T_a)+ | ~ c_less(c_Nat_Opower(V_b,V_x,T_a),c_Nat_Opower(V_b,V_y,T_a),T_a)+ | c_less(V_x,V_y,tc_nat) )).++cnf(cls_Power_Opower__strict__increasing__iff_1,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_less(V_x,V_y,tc_nat)+ | ~ c_less(c_1,V_b,T_a)+ | c_less(c_Nat_Opower(V_b,V_x,T_a),c_Nat_Opower(V_b,V_y,T_a),T_a) )).++cnf(cls_Power_Orecpower__class_Oaxioms__1_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | c_Nat_Opower(V_a,c_0,T_a) = c_1 )).++cnf(cls_Power_Ozero__le__power__abs_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(V_a,T_a),V_n,T_a),T_a) )).++cnf(cls_Power_Ozero__less__power__abs__iff_0,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,T_a),V_n,T_a),T_a)+ | V_n = c_0 )).++cnf(cls_Power_Ozero__less__power__abs__iff_1,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(V_a,T_a),V_n,T_a),T_a)+ | V_a = c_0 )).++cnf(cls_Power_Ozero__less__power__abs__iff_2,axiom,+ ( ~ class_Power_Orecpower(T_a)+ | ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(V_a,T_a),c_0,T_a),T_a) )).++cnf(cls_Product__Type_OPair__eq_0,axiom,+ ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)+ | V_a = V_a_H )).++cnf(cls_Product__Type_OPair__eq_1,axiom,+ ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)+ | V_b = V_b_H )).++cnf(cls_Product__Type_Ofst__conv_0,axiom,+ ( c_fst(c_Pair(V_y,V_b,T_a,T_b),T_a,T_b) = V_y )).++cnf(cls_Product__Type_Opair__collapse_0,axiom,+ ( c_Pair(c_fst(V_y,T_a,T_b),c_snd(V_y,T_a,T_b),T_a,T_b) = V_y )).++cnf(cls_Product__Type_Osnd__conv_0,axiom,+ ( c_snd(c_Pair(V_a,V_y,T_b,T_a),T_b,T_a) = V_y )).++cnf(cls_Product__Type_Osurj__pair_0,axiom,+ ( V_z = c_Pair(c_Main_Osurj__pair__1(V_z,T_a,T_b),c_Main_Osurj__pair__2(V_z,T_a,T_b),T_a,T_b) )).++cnf(cls_Relation_ODomain__Id_0,axiom,+ ( c_Relation_ODomain(c_Relation_OId,T_a,T_a) = c_UNIV )).++cnf(cls_Relation_ODomain__diag_0,axiom,+ ( c_Relation_ODomain(c_Relation_Odiag(V_y,T_a),T_a,T_a) = V_y )).++cnf(cls_Relation_ODomain__empty_0,axiom,+ ( c_Relation_ODomain(c_emptyset,T_a,T_b) = c_emptyset )).++cnf(cls_Relation_OId__O__R_0,axiom,+ ( c_Relation_Orel__comp(c_Relation_OId,V_y,T_b,T_b,T_a) = V_y )).++cnf(cls_Relation_OImage__Id_0,axiom,+ ( c_Relation_OImage(c_Relation_OId,V_y,T_a,T_a) = V_y )).++cnf(cls_Relation_OImage__diag_0,axiom,+ ( c_Relation_OImage(c_Relation_Odiag(V_A,T_a),V_B,T_a,T_a) = c_inter(V_A,V_B,T_a) )).++cnf(cls_Relation_OImage__empty_0,axiom,+ ( c_Relation_OImage(V_R,c_emptyset,T_b,T_a) = c_emptyset )).++cnf(cls_Relation_OImage__singleton__iff_0,axiom,+ ( ~ c_in(V_b,c_Relation_OImage(V_r,c_insert(V_a,c_emptyset,T_b),T_b,T_a),T_a)+ | c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) )).++cnf(cls_Relation_OImage__singleton__iff_1,axiom,+ ( ~ c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))+ | c_in(V_b,c_Relation_OImage(V_r,c_insert(V_a,c_emptyset,T_b),T_b,T_a),T_a) )).++cnf(cls_Relation_OR__O__Id_0,axiom,+ ( c_Relation_Orel__comp(V_y,c_Relation_OId,T_a,T_b,T_a) = V_y )).++cnf(cls_Relation_ORange__Id_0,axiom,+ ( c_Relation_ORange(c_Relation_OId,T_a,T_a) = c_UNIV )).++cnf(cls_Relation_ORange__diag_0,axiom,+ ( c_Relation_ORange(c_Relation_Odiag(V_y,T_a),T_a,T_a) = V_y )).++cnf(cls_Relation_ORange__empty_0,axiom,+ ( c_Relation_ORange(c_emptyset,T_b,T_a) = c_emptyset )).++cnf(cls_Relation_Oconverse__Id_0,axiom,+ ( c_Relation_Oconverse(c_Relation_OId,T_a,T_a) = c_Relation_OId )).++cnf(cls_Relation_Oconverse__converse_0,axiom,+ ( c_Relation_Oconverse(c_Relation_Oconverse(V_y,T_a,T_b),T_b,T_a) = V_y )).++cnf(cls_Relation_Oconverse__diag_0,axiom,+ ( c_Relation_Oconverse(c_Relation_Odiag(V_A,T_a),T_a,T_a) = c_Relation_Odiag(V_A,T_a) )).++cnf(cls_Relation_Oconverse__iff_0,axiom,+ ( ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b))+ | c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) )).++cnf(cls_Relation_Oconverse__iff_1,axiom,+ ( ~ c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))+ | c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)) )).++cnf(cls_Relation_Odiag__empty_0,axiom,+ ( c_Relation_Odiag(c_emptyset,T_a) = c_emptyset )).++cnf(cls_Relation_Opair__in__Id__conv_0,axiom,+ ( ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a))+ | V_a = V_b )).++cnf(cls_Relation_Opair__in__Id__conv_1,axiom,+ ( c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a)) )).++cnf(cls_Relation__Power_Orel__pow__1_0,axiom,+ ( c_Nat_Opower(V_y,c_1,tc_set(tc_prod(T_a,T_a))) = V_y )).++cnf(cls_Relation__Power_Orelpow_Osimps__1_0,axiom,+ ( c_Nat_Opower(V_R,c_0,tc_set(tc_prod(T_a__1,T_a__1))) = c_Relation_OId )).++cnf(cls_Relation__Power_Orelpow_Osimps__2_0,axiom,+ ( c_Nat_Opower(V_R,c_Suc(V_n),tc_set(tc_prod(T_a__1,T_a__1))) = c_Relation_Orel__comp(V_R,c_Nat_Opower(V_R,V_n,tc_set(tc_prod(T_a__1,T_a__1))),T_a__1,T_a__1,T_a__1) )).++cnf(cls_Ring__and__Field_Oabs__divide_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | c_HOL_Oabs(c_divide(V_a,V_b,T_a),T_a) = c_divide(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a) )).++cnf(cls_Ring__and__Field_Oabs__inverse_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | c_HOL_Oabs(c_HOL_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse(c_HOL_Oabs(V_a,T_a),T_a) )).++cnf(cls_Ring__and__Field_Oabs__one_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_HOL_Oabs(c_1,T_a) = c_1 )).++cnf(cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0,axiom,+ ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(T_a)+ | c_0 != c_1 )).++cnf(cls_Ring__and__Field_Odivide__1_0,axiom,+ ( ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(V_y,c_1,T_a) = V_y )).++cnf(cls_Ring__and__Field_Odivide__cancel__left_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(V_c,V_a,T_a) != c_divide(V_c,V_b,T_a)+ | V_a = V_b+ | V_c = c_0 )).++cnf(cls_Ring__and__Field_Odivide__cancel__left_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_0,V_a,T_a) = c_divide(c_0,V_b,T_a) )).++cnf(cls_Ring__and__Field_Odivide__cancel__right_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(V_a,V_c,T_a) != c_divide(V_b,V_c,T_a)+ | V_a = V_b+ | V_c = c_0 )).++cnf(cls_Ring__and__Field_Odivide__cancel__right_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(V_a,c_0,T_a) = c_divide(V_b,c_0,T_a) )).++cnf(cls_Ring__and__Field_Odivide__divide__eq__left_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_divide(V_a,V_b,T_a),V_c,T_a) = c_divide(V_a,c_times(V_b,V_c,T_a),T_a) )).++cnf(cls_Ring__and__Field_Odivide__divide__eq__right_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(V_a,c_divide(V_b,V_c,T_a),T_a) = c_divide(c_times(V_a,V_c,T_a),V_b,T_a) )).++cnf(cls_Ring__and__Field_Odivide__eq__0__iff_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(V_a,V_b,T_a) != c_0+ | V_b = c_0+ | V_a = c_0 )).++cnf(cls_Ring__and__Field_Odivide__eq__0__iff_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_0,V_b,T_a) = c_0 )).++cnf(cls_Ring__and__Field_Odivide__eq__0__iff_2,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(V_a,c_0,T_a) = c_0 )).++cnf(cls_Ring__and__Field_Odivide__eq__1__iff_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(V_a,V_b,T_a) != c_1+ | V_a = V_b )).++cnf(cls_Ring__and__Field_Odivide__eq__eq__1_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | c_divide(V_b,c_0,T_a) != c_1 )).++cnf(cls_Ring__and__Field_Odivide__eq__eq__1_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | c_divide(V_b,V_a,T_a) != c_1+ | V_a = V_b )).++cnf(cls_Ring__and__Field_Odivide__eq__eq__1_2,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | V_x = c_0+ | c_divide(V_x,V_x,T_a) = c_1 )).++cnf(cls_Ring__and__Field_Odivide__le__0__1__iff_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_lessequals(c_divide(c_1,V_b,T_a),c_0,T_a)+ | c_lessequals(V_b,c_0,T_a) )).++cnf(cls_Ring__and__Field_Odivide__le__0__1__iff_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_lessequals(V_b,c_0,T_a)+ | c_lessequals(c_divide(c_1,V_b,T_a),c_0,T_a) )).++cnf(cls_Ring__and__Field_Odivide__le__eq__1__neg_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_a,c_0,T_a)+ | ~ c_lessequals(c_divide(V_b,V_a,T_a),c_1,T_a)+ | c_lessequals(V_a,V_b,T_a) )).++cnf(cls_Ring__and__Field_Odivide__le__eq__1__neg_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_a,c_0,T_a)+ | ~ c_lessequals(V_a,V_b,T_a)+ | c_lessequals(c_divide(V_b,V_a,T_a),c_1,T_a) )).++cnf(cls_Ring__and__Field_Odivide__le__eq__1__pos_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_a,T_a)+ | ~ c_lessequals(c_divide(V_b,V_a,T_a),c_1,T_a)+ | c_lessequals(V_b,V_a,T_a) )).++cnf(cls_Ring__and__Field_Odivide__le__eq__1__pos_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_a,T_a)+ | ~ c_lessequals(V_b,V_a,T_a)+ | c_lessequals(c_divide(V_b,V_a,T_a),c_1,T_a) )).++cnf(cls_Ring__and__Field_Odivide__less__0__1__iff_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_divide(c_1,V_b,T_a),c_0,T_a)+ | c_less(V_b,c_0,T_a) )).++cnf(cls_Ring__and__Field_Odivide__less__0__1__iff_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_b,c_0,T_a)+ | c_less(c_divide(c_1,V_b,T_a),c_0,T_a) )).++cnf(cls_Ring__and__Field_Odivide__less__eq__1__neg_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_a,c_0,T_a)+ | ~ c_less(c_divide(V_b,V_a,T_a),c_1,T_a)+ | c_less(V_a,V_b,T_a) )).++cnf(cls_Ring__and__Field_Odivide__less__eq__1__neg_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_a,V_b,T_a)+ | ~ c_less(V_a,c_0,T_a)+ | c_less(c_divide(V_b,V_a,T_a),c_1,T_a) )).++cnf(cls_Ring__and__Field_Odivide__less__eq__1__pos_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_a,T_a)+ | ~ c_less(c_divide(V_b,V_a,T_a),c_1,T_a)+ | c_less(V_b,V_a,T_a) )).++cnf(cls_Ring__and__Field_Odivide__less__eq__1__pos_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_b,V_a,T_a)+ | ~ c_less(c_0,V_a,T_a)+ | c_less(c_divide(V_b,V_a,T_a),c_1,T_a) )).++cnf(cls_Ring__and__Field_Odivide__minus__left_0,axiom,+ ( ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_uminus(V_a,T_a),V_b,T_a) = c_uminus(c_divide(V_a,V_b,T_a),T_a) )).++cnf(cls_Ring__and__Field_Odivide__minus__right_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(V_a,c_uminus(V_b,T_a),T_a) = c_uminus(c_divide(V_a,V_b,T_a),T_a) )).++cnf(cls_Ring__and__Field_Odivide__self__if_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_0,c_0,T_a) = c_0 )).++cnf(cls_Ring__and__Field_Oeq__divide__eq__1_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | c_1 != c_divide(V_b,c_0,T_a) )).++cnf(cls_Ring__and__Field_Oeq__divide__eq__1_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | c_1 != c_divide(V_b,V_a,T_a)+ | V_a = V_b )).++cnf(cls_Ring__and__Field_Oeq__divide__eq__1_2,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | V_x = c_0+ | c_1 = c_divide(V_x,V_x,T_a) )).++cnf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,axiom,+ ( ~ class_Ring__and__Field_Ofield(T_a)+ | V_a = c_0+ | c_times(c_HOL_Oinverse(V_a,T_a),V_a,T_a) = c_1 )).++cnf(cls_Ring__and__Field_Ofield__mult__cancel__left_0,axiom,+ ( ~ class_Ring__and__Field_Ofield(T_a)+ | c_times(V_c,V_a,T_a) != c_times(V_c,V_b,T_a)+ | V_a = V_b+ | V_c = c_0 )).++cnf(cls_Ring__and__Field_Ofield__mult__cancel__left_1,axiom,+ ( ~ class_Ring__and__Field_Ofield(T_a)+ | c_times(c_0,V_a,T_a) = c_times(c_0,V_b,T_a) )).++cnf(cls_Ring__and__Field_Ofield__mult__cancel__right_0,axiom,+ ( ~ class_Ring__and__Field_Ofield(T_a)+ | c_times(V_a,V_c,T_a) != c_times(V_b,V_c,T_a)+ | V_a = V_b+ | V_c = c_0 )).++cnf(cls_Ring__and__Field_Ofield__mult__cancel__right_1,axiom,+ ( ~ class_Ring__and__Field_Ofield(T_a)+ | c_times(V_a,c_0,T_a) = c_times(V_b,c_0,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__divide_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_HOL_Oinverse(c_divide(V_a,V_b,T_a),T_a) = c_divide(V_b,V_a,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__eq__1__iff_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_HOL_Oinverse(V_x,T_a) != c_1+ | V_x = c_1 )).++cnf(cls_Ring__and__Field_Oinverse__eq__1__iff_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_HOL_Oinverse(c_1,T_a) = c_1 )).++cnf(cls_Ring__and__Field_Oinverse__eq__iff__eq_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_HOL_Oinverse(V_a,T_a) != c_HOL_Oinverse(V_b,T_a)+ | V_a = V_b )).++cnf(cls_Ring__and__Field_Oinverse__inverse__eq_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_HOL_Oinverse(c_HOL_Oinverse(V_y,T_a),T_a) = V_y )).++cnf(cls_Ring__and__Field_Oinverse__le__iff__le_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_b,T_a)+ | ~ c_less(c_0,V_a,T_a)+ | ~ c_lessequals(c_HOL_Oinverse(V_a,T_a),c_HOL_Oinverse(V_b,T_a),T_a)+ | c_lessequals(V_b,V_a,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__le__iff__le_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_b,T_a)+ | ~ c_less(c_0,V_a,T_a)+ | ~ c_lessequals(V_b,V_a,T_a)+ | c_lessequals(c_HOL_Oinverse(V_a,T_a),c_HOL_Oinverse(V_b,T_a),T_a) )).++cnf(cls_Ring__and__Field_Oinverse__le__iff__le__neg_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_b,c_0,T_a)+ | ~ c_less(V_a,c_0,T_a)+ | ~ c_lessequals(c_HOL_Oinverse(V_a,T_a),c_HOL_Oinverse(V_b,T_a),T_a)+ | c_lessequals(V_b,V_a,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__le__iff__le__neg_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_b,c_0,T_a)+ | ~ c_less(V_a,c_0,T_a)+ | ~ c_lessequals(V_b,V_a,T_a)+ | c_lessequals(c_HOL_Oinverse(V_a,T_a),c_HOL_Oinverse(V_b,T_a),T_a) )).++cnf(cls_Ring__and__Field_Oinverse__less__iff__less_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_b,T_a)+ | ~ c_less(c_0,V_a,T_a)+ | ~ c_less(c_HOL_Oinverse(V_a,T_a),c_HOL_Oinverse(V_b,T_a),T_a)+ | c_less(V_b,V_a,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__less__iff__less_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_b,V_a,T_a)+ | ~ c_less(c_0,V_b,T_a)+ | ~ c_less(c_0,V_a,T_a)+ | c_less(c_HOL_Oinverse(V_a,T_a),c_HOL_Oinverse(V_b,T_a),T_a) )).++cnf(cls_Ring__and__Field_Oinverse__less__iff__less__neg_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_b,c_0,T_a)+ | ~ c_less(V_a,c_0,T_a)+ | ~ c_less(c_HOL_Oinverse(V_a,T_a),c_HOL_Oinverse(V_b,T_a),T_a)+ | c_less(V_b,V_a,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__less__iff__less__neg_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_b,V_a,T_a)+ | ~ c_less(V_b,c_0,T_a)+ | ~ c_less(V_a,c_0,T_a)+ | c_less(c_HOL_Oinverse(V_a,T_a),c_HOL_Oinverse(V_b,T_a),T_a) )).++cnf(cls_Ring__and__Field_Oinverse__minus__eq_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_HOL_Oinverse(c_uminus(V_a,T_a),T_a) = c_uminus(c_HOL_Oinverse(V_a,T_a),T_a) )).++cnf(cls_Ring__and__Field_Oinverse__mult__distrib_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_HOL_Oinverse(c_times(V_a,V_b,T_a),T_a) = c_times(c_HOL_Oinverse(V_a,T_a),c_HOL_Oinverse(V_b,T_a),T_a) )).++cnf(cls_Ring__and__Field_Oinverse__negative__iff__negative_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_HOL_Oinverse(V_a,T_a),c_0,T_a)+ | c_less(V_a,c_0,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__negative__iff__negative_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_a,c_0,T_a)+ | c_less(c_HOL_Oinverse(V_a,T_a),c_0,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__nonnegative__iff__nonnegative_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_lessequals(c_0,c_HOL_Oinverse(V_a,T_a),T_a)+ | c_lessequals(c_0,V_a,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__nonnegative__iff__nonnegative_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_lessequals(c_0,V_a,T_a)+ | c_lessequals(c_0,c_HOL_Oinverse(V_a,T_a),T_a) )).++cnf(cls_Ring__and__Field_Oinverse__nonpositive__iff__nonpositive_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_lessequals(c_HOL_Oinverse(V_a,T_a),c_0,T_a)+ | c_lessequals(V_a,c_0,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__nonpositive__iff__nonpositive_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_lessequals(V_a,c_0,T_a)+ | c_lessequals(c_HOL_Oinverse(V_a,T_a),c_0,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__nonzero__iff__nonzero_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_HOL_Oinverse(V_a,T_a) != c_0+ | V_a = c_0 )).++cnf(cls_Ring__and__Field_Oinverse__nonzero__iff__nonzero_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_HOL_Oinverse(c_0,T_a) = c_0 )).++cnf(cls_Ring__and__Field_Oinverse__positive__iff__positive_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,c_HOL_Oinverse(V_a,T_a),T_a)+ | c_less(c_0,V_a,T_a) )).++cnf(cls_Ring__and__Field_Oinverse__positive__iff__positive_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_a,T_a)+ | c_less(c_0,c_HOL_Oinverse(V_a,T_a),T_a) )).++cnf(cls_Ring__and__Field_Ole__divide__eq__1__neg_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_a,c_0,T_a)+ | ~ c_lessequals(c_1,c_divide(V_b,V_a,T_a),T_a)+ | c_lessequals(V_b,V_a,T_a) )).++cnf(cls_Ring__and__Field_Ole__divide__eq__1__neg_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_a,c_0,T_a)+ | ~ c_lessequals(V_b,V_a,T_a)+ | c_lessequals(c_1,c_divide(V_b,V_a,T_a),T_a) )).++cnf(cls_Ring__and__Field_Ole__divide__eq__1__pos_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_a,T_a)+ | ~ c_lessequals(c_1,c_divide(V_b,V_a,T_a),T_a)+ | c_lessequals(V_a,V_b,T_a) )).++cnf(cls_Ring__and__Field_Ole__divide__eq__1__pos_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_a,T_a)+ | ~ c_lessequals(V_a,V_b,T_a)+ | c_lessequals(c_1,c_divide(V_b,V_a,T_a),T_a) )).++cnf(cls_Ring__and__Field_Oless__divide__eq__1__neg_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_a,c_0,T_a)+ | ~ c_less(c_1,c_divide(V_b,V_a,T_a),T_a)+ | c_less(V_b,V_a,T_a) )).++cnf(cls_Ring__and__Field_Oless__divide__eq__1__neg_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_b,V_a,T_a)+ | ~ c_less(V_a,c_0,T_a)+ | c_less(c_1,c_divide(V_b,V_a,T_a),T_a) )).++cnf(cls_Ring__and__Field_Oless__divide__eq__1__pos_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_a,T_a)+ | ~ c_less(c_1,c_divide(V_b,V_a,T_a),T_a)+ | c_less(V_a,V_b,T_a) )).++cnf(cls_Ring__and__Field_Oless__divide__eq__1__pos_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(V_a,V_b,T_a)+ | ~ c_less(c_0,V_a,T_a)+ | c_less(c_1,c_divide(V_b,V_a,T_a),T_a) )).++cnf(cls_Ring__and__Field_Ominus__divide__divide_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_uminus(V_a,T_a),c_uminus(V_b,T_a),T_a) = c_divide(V_a,V_b,T_a) )).++cnf(cls_Ring__and__Field_Ominus__mult__minus_0,axiom,+ ( ~ class_Ring__and__Field_Oring(T_a)+ | c_times(c_uminus(V_a,T_a),c_uminus(V_b,T_a),T_a) = c_times(V_a,V_b,T_a) )).++cnf(cls_Ring__and__Field_Omult__cancel__left1_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | V_c != c_times(V_c,V_b,T_a)+ | V_c = c_0+ | V_b = c_1 )).++cnf(cls_Ring__and__Field_Omult__cancel__left1_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_0 = c_times(c_0,V_b,T_a) )).++cnf(cls_Ring__and__Field_Omult__cancel__left1_2,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | V_c = c_times(V_c,c_1,T_a) )).++cnf(cls_Ring__and__Field_Omult__cancel__left2_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_times(V_c,V_a,T_a) != V_c+ | V_c = c_0+ | V_a = c_1 )).++cnf(cls_Ring__and__Field_Omult__cancel__right1_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | V_c != c_times(V_b,V_c,T_a)+ | V_c = c_0+ | V_b = c_1 )).++cnf(cls_Ring__and__Field_Omult__cancel__right1_1,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_0 = c_times(V_b,c_0,T_a) )).++cnf(cls_Ring__and__Field_Omult__cancel__right1_2,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | V_c = c_times(c_1,V_c,T_a) )).++cnf(cls_Ring__and__Field_Omult__cancel__right2_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__idom(T_a)+ | c_times(V_a,V_c,T_a) != V_c+ | V_c = c_0+ | V_a = c_1 )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if1_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_0,c_times(c_0,V_b,T_a),T_a) = c_0 )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if1_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | V_c = c_0+ | c_divide(V_c,c_times(V_c,V_b,T_a),T_a) = c_divide(c_1,V_b,T_a) )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if2_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_times(c_0,V_a,T_a),c_0,T_a) = c_0 )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if2_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | V_c = c_0+ | c_divide(c_times(V_c,V_a,T_a),V_c,T_a) = V_a )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_times(c_0,V_a,T_a),c_times(c_0,V_b,T_a),T_a) = c_0 )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | V_c = c_0+ | c_divide(c_times(V_c,V_a,T_a),c_times(V_c,V_b,T_a),T_a) = c_divide(V_a,V_b,T_a) )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if1_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_0,c_times(V_b,c_0,T_a),T_a) = c_0 )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if1_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | V_c = c_0+ | c_divide(V_c,c_times(V_b,V_c,T_a),T_a) = c_divide(c_1,V_b,T_a) )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if2_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_times(V_a,c_0,T_a),c_0,T_a) = c_0 )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if2_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | V_c = c_0+ | c_divide(c_times(V_a,V_c,T_a),V_c,T_a) = V_a )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_divide(c_times(V_a,c_0,T_a),c_times(V_b,c_0,T_a),T_a) = c_0 )).++cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | V_c = c_0+ | c_divide(c_times(V_a,V_c,T_a),c_times(V_b,V_c,T_a),T_a) = c_divide(V_a,V_b,T_a) )).++cnf(cls_Ring__and__Field_Omult__eq__0__iff_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)+ | c_times(V_a,V_b,T_a) != c_0+ | V_b = c_0+ | V_a = c_0 )).++cnf(cls_Ring__and__Field_Omult__minus__left_0,axiom,+ ( ~ class_Ring__and__Field_Oring(T_a)+ | c_times(c_uminus(V_a,T_a),V_b,T_a) = c_uminus(c_times(V_a,V_b,T_a),T_a) )).++cnf(cls_Ring__and__Field_Omult__minus__right_0,axiom,+ ( ~ class_Ring__and__Field_Oring(T_a)+ | c_times(V_a,c_uminus(V_b,T_a),T_a) = c_uminus(c_times(V_a,V_b,T_a),T_a) )).++cnf(cls_Ring__and__Field_Omult__zero__left_0,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T_a)+ | c_times(c_0,V_a,T_a) = c_0 )).++cnf(cls_Ring__and__Field_Omult__zero__right_0,axiom,+ ( ~ class_Ring__and__Field_Osemiring__0__cancel(T_a)+ | c_times(V_a,c_0,T_a) = c_0 )).++cnf(cls_Ring__and__Field_Onot__one__le__zero_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_lessequals(c_1,c_0,T_a) )).++cnf(cls_Ring__and__Field_Onot__one__less__zero_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | ~ c_less(c_1,c_0,T_a) )).++cnf(cls_Ring__and__Field_Oone__divide__eq__0__iff_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | c_divide(c_1,V_a,T_a) != c_0+ | V_a = c_0 )).++cnf(cls_Ring__and__Field_Oone__divide__eq__0__iff_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | c_divide(c_1,c_0,T_a) = c_0 )).++cnf(cls_Ring__and__Field_Oone__eq__divide__iff_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_1 != c_divide(V_a,V_b,T_a)+ | V_a = V_b )).++cnf(cls_Ring__and__Field_Oone__neq__zero_0,axiom,+ ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(T_a)+ | c_1 != c_0 )).++cnf(cls_Ring__and__Field_Oordered__semidom__class_Oaxioms_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | c_less(c_0,c_1,T_a) )).++cnf(cls_Ring__and__Field_Oright__inverse_0,axiom,+ ( ~ class_Ring__and__Field_Ofield(T_a)+ | V_a = c_0+ | c_times(V_a,c_HOL_Oinverse(V_a,T_a),T_a) = c_1 )).++cnf(cls_Ring__and__Field_Otimes__divide__eq__1_0,axiom,+ ( ~ class_Ring__and__Field_Ofield(T_a)+ | c_times(V_a,c_divide(V_b,V_c,T_a),T_a) = c_divide(c_times(V_a,V_b,T_a),V_c,T_a) )).++cnf(cls_Ring__and__Field_Otimes__divide__eq__2_0,axiom,+ ( ~ class_Ring__and__Field_Ofield(T_a)+ | c_times(c_divide(V_b,V_c,T_a),V_a,T_a) = c_divide(c_times(V_b,V_a,T_a),V_c,T_a) )).++cnf(cls_Ring__and__Field_Otimes__divide__self__left_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_times(c_divide(V_b,c_0,T_a),c_0,T_a) = c_0 )).++cnf(cls_Ring__and__Field_Otimes__divide__self__left_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | V_a = c_0+ | c_times(c_divide(V_b,V_a,T_a),V_a,T_a) = V_b )).++cnf(cls_Ring__and__Field_Otimes__divide__self__right_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | c_times(c_0,c_divide(V_b,c_0,T_a),T_a) = c_0 )).++cnf(cls_Ring__and__Field_Otimes__divide__self__right_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Ofield(T_a)+ | V_a = c_0+ | c_times(V_a,c_divide(V_b,V_a,T_a),T_a) = V_b )).++cnf(cls_Ring__and__Field_Ozero__eq__1__divide__iff_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | c_0 != c_divide(c_1,V_a,T_a)+ | V_a = c_0 )).++cnf(cls_Ring__and__Field_Ozero__eq__1__divide__iff_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | c_0 = c_divide(c_1,c_0,T_a) )).++cnf(cls_Ring__and__Field_Ozero__le__divide__1__iff_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_lessequals(c_0,c_divide(c_1,V_b,T_a),T_a)+ | c_lessequals(c_0,V_b,T_a) )).++cnf(cls_Ring__and__Field_Ozero__le__divide__1__iff_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_lessequals(c_0,V_b,T_a)+ | c_lessequals(c_0,c_divide(c_1,V_b,T_a),T_a) )).++cnf(cls_Ring__and__Field_Ozero__le__one_0,axiom,+ ( ~ class_Ring__and__Field_Oordered__semidom(T_a)+ | c_lessequals(c_0,c_1,T_a) )).++cnf(cls_Ring__and__Field_Ozero__less__divide__1__iff_0,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,c_divide(c_1,V_b,T_a),T_a)+ | c_less(c_0,V_b,T_a) )).++cnf(cls_Ring__and__Field_Ozero__less__divide__1__iff_1,axiom,+ ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)+ | ~ class_Ring__and__Field_Oordered__field(T_a)+ | ~ c_less(c_0,V_b,T_a)+ | c_less(c_0,c_divide(c_1,V_b,T_a),T_a) )).++cnf(cls_SetInterval_OCompl__atLeast_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_uminus(c_SetInterval_OatLeast(V_k,T_a),tc_set(T_a)) = c_SetInterval_OlessThan(V_k,T_a) )).++cnf(cls_SetInterval_OCompl__atMost_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_uminus(c_SetInterval_OatMost(V_k,T_a),tc_set(T_a)) = c_SetInterval_OgreaterThan(V_k,T_a) )).++cnf(cls_SetInterval_OCompl__greaterThan_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_uminus(c_SetInterval_OgreaterThan(V_k,T_a),tc_set(T_a)) = c_SetInterval_OatMost(V_k,T_a) )).++cnf(cls_SetInterval_OCompl__lessThan_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_uminus(c_SetInterval_OlessThan(V_k,T_a),tc_set(T_a)) = c_SetInterval_OatLeast(V_k,T_a) )).++cnf(cls_SetInterval_OatLeastAtMost__empty_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_less(V_n,V_m,T_a)+ | c_SetInterval_OatLeastAtMost(V_m,V_n,T_a) = c_emptyset )).++cnf(cls_SetInterval_OatLeastAtMost__iff_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OatLeastAtMost(V_l,V_u,T_a),T_a)+ | c_lessequals(V_l,V_i,T_a) )).++cnf(cls_SetInterval_OatLeastAtMost__iff_1,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OatLeastAtMost(V_l,V_u,T_a),T_a)+ | c_lessequals(V_i,V_u,T_a) )).++cnf(cls_SetInterval_OatLeastAtMost__iff_2,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_lessequals(V_i,V_u,T_a)+ | ~ c_lessequals(V_l,V_i,T_a)+ | c_in(V_i,c_SetInterval_OatLeastAtMost(V_l,V_u,T_a),T_a) )).++cnf(cls_SetInterval_OatLeastAtMost__singleton_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | c_SetInterval_OatLeastAtMost(V_a,V_a,T_a) = c_insert(V_a,c_emptyset,T_a) )).++cnf(cls_SetInterval_OatLeastLessThan__empty_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_lessequals(V_n,V_m,T_a)+ | c_SetInterval_OatLeastLessThan(V_m,V_n,T_a) = c_emptyset )).++cnf(cls_SetInterval_OatLeastLessThan__iff_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OatLeastLessThan(V_l,V_u,T_a),T_a)+ | c_lessequals(V_l,V_i,T_a) )).++cnf(cls_SetInterval_OatLeastLessThan__iff_1,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OatLeastLessThan(V_l,V_u,T_a),T_a)+ | c_less(V_i,V_u,T_a) )).++cnf(cls_SetInterval_OatLeastLessThan__iff_2,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_less(V_i,V_u,T_a)+ | ~ c_lessequals(V_l,V_i,T_a)+ | c_in(V_i,c_SetInterval_OatLeastLessThan(V_l,V_u,T_a),T_a) )).++cnf(cls_SetInterval_OatLeastLessThan__singleton_0,axiom,+ ( c_SetInterval_OatLeastLessThan(V_m,c_Suc(V_m),tc_nat) = c_insert(V_m,c_emptyset,tc_nat) )).++cnf(cls_SetInterval_OatLeast__0_0,axiom,+ ( c_SetInterval_OatLeast(c_0,tc_nat) = c_UNIV )).++cnf(cls_SetInterval_OatLeast__eq__iff_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_SetInterval_OatLeast(V_x,T_a) != c_SetInterval_OatLeast(V_y,T_a)+ | V_x = V_y )).++cnf(cls_SetInterval_OatLeast__iff_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OatLeast(V_k,T_a),T_a)+ | c_lessequals(V_k,V_i,T_a) )).++cnf(cls_SetInterval_OatLeast__iff_1,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_lessequals(V_k,V_i,T_a)+ | c_in(V_i,c_SetInterval_OatLeast(V_k,T_a),T_a) )).++cnf(cls_SetInterval_OatLeast__subset__iff_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_lessequals(c_SetInterval_OatLeast(V_x,T_a),c_SetInterval_OatLeast(V_y,T_a),tc_set(T_a))+ | c_lessequals(V_y,V_x,T_a) )).++cnf(cls_SetInterval_OatLeast__subset__iff_1,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_lessequals(V_y,V_x,T_a)+ | c_lessequals(c_SetInterval_OatLeast(V_x,T_a),c_SetInterval_OatLeast(V_y,T_a),tc_set(T_a)) )).++cnf(cls_SetInterval_OatMost__0_0,axiom,+ ( c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) )).++cnf(cls_SetInterval_OatMost__eq__iff_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_SetInterval_OatMost(V_x,T_a) != c_SetInterval_OatMost(V_y,T_a)+ | V_x = V_y )).++cnf(cls_SetInterval_OatMost__iff_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OatMost(V_k,T_a),T_a)+ | c_lessequals(V_i,V_k,T_a) )).++cnf(cls_SetInterval_OatMost__iff_1,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_lessequals(V_i,V_k,T_a)+ | c_in(V_i,c_SetInterval_OatMost(V_k,T_a),T_a) )).++cnf(cls_SetInterval_OatMost__subset__iff_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_lessequals(c_SetInterval_OatMost(V_x,T_a),c_SetInterval_OatMost(V_y,T_a),tc_set(T_a))+ | c_lessequals(V_x,V_y,T_a) )).++cnf(cls_SetInterval_OatMost__subset__iff_1,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_lessequals(V_x,V_y,T_a)+ | c_lessequals(c_SetInterval_OatMost(V_x,T_a),c_SetInterval_OatMost(V_y,T_a),tc_set(T_a)) )).++cnf(cls_SetInterval_Ocard__atLeastAtMost_0,axiom,+ ( c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_nat),tc_nat) = c_minus(c_Suc(V_u),V_l,tc_nat) )).++cnf(cls_SetInterval_Ocard__atLeastAtMost__int_0,axiom,+ ( c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_plus(c_minus(V_u,V_l,tc_IntDef_Oint),c_1,tc_IntDef_Oint)) )).++cnf(cls_SetInterval_Ocard__atLeastLessThan_0,axiom,+ ( c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,V_l,tc_nat) )).++cnf(cls_SetInterval_Ocard__atLeastLessThan__int_0,axiom,+ ( c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,V_l,tc_IntDef_Oint)) )).++cnf(cls_SetInterval_Ocard__atMost_0,axiom,+ ( c_Finite__Set_Ocard(c_SetInterval_OatMost(V_u,tc_nat),tc_nat) = c_Suc(V_u) )).++cnf(cls_SetInterval_Ocard__greaterThanAtMost_0,axiom,+ ( c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,V_l,tc_nat) )).++cnf(cls_SetInterval_Ocard__greaterThanAtMost__int_0,axiom,+ ( c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,V_l,tc_IntDef_Oint)) )).++cnf(cls_SetInterval_Ocard__greaterThanLessThan_0,axiom,+ ( c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_nat),tc_nat) = c_minus(V_u,c_Suc(V_l),tc_nat) )).++cnf(cls_SetInterval_Ocard__greaterThanLessThan__int_0,axiom,+ ( c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(V_l,V_u,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(V_u,c_plus(V_l,c_1,tc_IntDef_Oint),tc_IntDef_Oint)) )).++cnf(cls_SetInterval_Ocard__lessThan_0,axiom,+ ( c_Finite__Set_Ocard(c_SetInterval_OlessThan(V_y,tc_nat),tc_nat) = V_y )).++cnf(cls_SetInterval_OgreaterThanAtMost__empty_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_lessequals(V_l,V_k,T_a)+ | c_SetInterval_OgreaterThanAtMost(V_k,V_l,T_a) = c_emptyset )).++cnf(cls_SetInterval_OgreaterThanAtMost__iff_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OgreaterThanAtMost(V_l,V_u,T_a),T_a)+ | c_less(V_l,V_i,T_a) )).++cnf(cls_SetInterval_OgreaterThanAtMost__iff_1,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OgreaterThanAtMost(V_l,V_u,T_a),T_a)+ | c_lessequals(V_i,V_u,T_a) )).++cnf(cls_SetInterval_OgreaterThanAtMost__iff_2,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_less(V_l,V_i,T_a)+ | ~ c_lessequals(V_i,V_u,T_a)+ | c_in(V_i,c_SetInterval_OgreaterThanAtMost(V_l,V_u,T_a),T_a) )).++cnf(cls_SetInterval_OgreaterThanLessThan__iff_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OgreaterThanLessThan(V_l,V_u,T_a),T_a)+ | c_less(V_l,V_i,T_a) )).++cnf(cls_SetInterval_OgreaterThanLessThan__iff_1,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OgreaterThanLessThan(V_l,V_u,T_a),T_a)+ | c_less(V_i,V_u,T_a) )).++cnf(cls_SetInterval_OgreaterThanLessThan__iff_2,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_less(V_i,V_u,T_a)+ | ~ c_less(V_l,V_i,T_a)+ | c_in(V_i,c_SetInterval_OgreaterThanLessThan(V_l,V_u,T_a),T_a) )).++cnf(cls_SetInterval_OgreaterThan__eq__iff_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_SetInterval_OgreaterThan(V_x,T_a) != c_SetInterval_OgreaterThan(V_y,T_a)+ | V_x = V_y )).++cnf(cls_SetInterval_OgreaterThan__iff_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OgreaterThan(V_k,T_a),T_a)+ | c_less(V_k,V_i,T_a) )).++cnf(cls_SetInterval_OgreaterThan__iff_1,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_less(V_k,V_i,T_a)+ | c_in(V_i,c_SetInterval_OgreaterThan(V_k,T_a),T_a) )).++cnf(cls_SetInterval_OgreaterThan__subset__iff_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(c_SetInterval_OgreaterThan(V_x,T_a),c_SetInterval_OgreaterThan(V_y,T_a),tc_set(T_a))+ | c_lessequals(V_y,V_x,T_a) )).++cnf(cls_SetInterval_OgreaterThan__subset__iff_1,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(V_y,V_x,T_a)+ | c_lessequals(c_SetInterval_OgreaterThan(V_x,T_a),c_SetInterval_OgreaterThan(V_y,T_a),tc_set(T_a)) )).++cnf(cls_SetInterval_Oivl__diff_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(V_i,V_n,T_a)+ | c_minus(c_SetInterval_OatLeastLessThan(V_i,V_m,T_a),c_SetInterval_OatLeastLessThan(V_i,V_n,T_a),tc_set(T_a)) = c_SetInterval_OatLeastLessThan(V_n,V_m,T_a) )).++cnf(cls_SetInterval_Oivl__subset_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(c_SetInterval_OatLeastLessThan(V_i,V_j,T_a),c_SetInterval_OatLeastLessThan(V_m,V_n,T_a),tc_set(T_a))+ | c_lessequals(V_m,V_i,T_a)+ | c_lessequals(V_j,V_i,T_a) )).++cnf(cls_SetInterval_Oivl__subset_1,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(c_SetInterval_OatLeastLessThan(V_i,V_j,T_a),c_SetInterval_OatLeastLessThan(V_m,V_n,T_a),tc_set(T_a))+ | c_lessequals(V_j,V_n,T_a)+ | c_lessequals(V_j,V_i,T_a) )).++cnf(cls_SetInterval_Oivl__subset_2,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(V_j,V_i,T_a)+ | c_lessequals(c_SetInterval_OatLeastLessThan(V_i,V_j,T_a),c_SetInterval_OatLeastLessThan(V_m,V_n,T_a),tc_set(T_a)) )).++cnf(cls_SetInterval_Oivl__subset_3,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(V_j,V_n,T_a)+ | ~ c_lessequals(V_m,V_i,T_a)+ | c_lessequals(c_SetInterval_OatLeastLessThan(V_i,V_j,T_a),c_SetInterval_OatLeastLessThan(V_m,V_n,T_a),tc_set(T_a)) )).++cnf(cls_SetInterval_OlessThan__0_0,axiom,+ ( c_SetInterval_OlessThan(c_0,tc_nat) = c_emptyset )).++cnf(cls_SetInterval_OlessThan__eq__iff_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_SetInterval_OlessThan(V_x,T_a) != c_SetInterval_OlessThan(V_y,T_a)+ | V_x = V_y )).++cnf(cls_SetInterval_OlessThan__iff_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OlessThan(V_k,T_a),T_a)+ | c_less(V_i,V_k,T_a) )).++cnf(cls_SetInterval_OlessThan__iff_1,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_less(V_i,V_k,T_a)+ | c_in(V_i,c_SetInterval_OlessThan(V_k,T_a),T_a) )).++cnf(cls_SetInterval_OlessThan__subset__iff_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(c_SetInterval_OlessThan(V_x,T_a),c_SetInterval_OlessThan(V_y,T_a),tc_set(T_a))+ | c_lessequals(V_x,V_y,T_a) )).++cnf(cls_SetInterval_OlessThan__subset__iff_1,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(V_x,V_y,T_a)+ | c_lessequals(c_SetInterval_OlessThan(V_x,T_a),c_SetInterval_OlessThan(V_y,T_a),tc_set(T_a)) )).++cnf(cls_SetInterval_Osingle__Diff__lessThan_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | c_minus(c_insert(V_k,c_emptyset,T_a),c_SetInterval_OlessThan(V_k,T_a),tc_set(T_a)) = c_insert(V_k,c_emptyset,T_a) )).++cnf(cls_Set_OCompl__Diff__eq_0,axiom,+ ( c_uminus(c_minus(V_A,V_B,tc_set(T_a)),tc_set(T_a)) = c_union(c_uminus(V_A,tc_set(T_a)),V_B,T_a) )).++cnf(cls_Set_OCompl__Int_0,axiom,+ ( c_uminus(c_inter(V_A,V_B,T_a),tc_set(T_a)) = c_union(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),T_a) )).++cnf(cls_Set_OCompl__UNIV__eq_0,axiom,+ ( c_uminus(c_UNIV,tc_set(T_a)) = c_emptyset )).++cnf(cls_Set_OCompl__Un_0,axiom,+ ( c_uminus(c_union(V_A,V_B,T_a),tc_set(T_a)) = c_inter(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),T_a) )).++cnf(cls_Set_OCompl__disjoint2_0,axiom,+ ( c_inter(c_uminus(V_A,tc_set(T_a)),V_A,T_a) = c_emptyset )).++cnf(cls_Set_OCompl__disjoint_0,axiom,+ ( c_inter(V_A,c_uminus(V_A,tc_set(T_a)),T_a) = c_emptyset )).++cnf(cls_Set_OCompl__empty__eq_0,axiom,+ ( c_uminus(c_emptyset,tc_set(T_a)) = c_UNIV )).++cnf(cls_Set_OCompl__eq__Compl__iff_0,axiom,+ ( c_uminus(V_A,tc_set(T_a)) != c_uminus(V_B,tc_set(T_a))+ | V_A = V_B )).++cnf(cls_Set_OCompl__iff_0,axiom,+ ( ~ c_in(V_c,V_A,T_a)+ | ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) )).++cnf(cls_Set_OCompl__iff_1,axiom,+ ( c_in(V_c,V_A,T_a)+ | c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) )).++cnf(cls_Set_OCompl__subset__Compl__iff_0,axiom,+ ( ~ c_lessequals(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),tc_set(T_a))+ | c_lessequals(V_B,V_A,tc_set(T_a)) )).++cnf(cls_Set_OCompl__subset__Compl__iff_1,axiom,+ ( ~ c_lessequals(V_B,V_A,tc_set(T_a))+ | c_lessequals(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),tc_set(T_a)) )).++cnf(cls_Set_ODiff__Compl_0,axiom,+ ( c_minus(V_A,c_uminus(V_B,tc_set(T_a)),tc_set(T_a)) = c_inter(V_A,V_B,T_a) )).++cnf(cls_Set_ODiff__UNIV_0,axiom,+ ( c_minus(V_A,c_UNIV,tc_set(T_a)) = c_emptyset )).++cnf(cls_Set_ODiff__cancel_0,axiom,+ ( c_minus(V_A,V_A,tc_set(T_a)) = c_emptyset )).++cnf(cls_Set_ODiff__disjoint_0,axiom,+ ( c_inter(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_emptyset )).++cnf(cls_Set_ODiff__empty_0,axiom,+ ( c_minus(V_y,c_emptyset,tc_set(T_a)) = V_y )).++cnf(cls_Set_ODiff__eq__empty__iff_0,axiom,+ ( c_minus(V_A,V_B,tc_set(T_a)) != c_emptyset+ | c_lessequals(V_A,V_B,tc_set(T_a)) )).++cnf(cls_Set_ODiff__eq__empty__iff_1,axiom,+ ( ~ c_lessequals(V_A,V_B,tc_set(T_a))+ | c_minus(V_A,V_B,tc_set(T_a)) = c_emptyset )).++cnf(cls_Set_ODiff__idemp_0,axiom,+ ( c_minus(c_minus(V_A,V_B,tc_set(T_a)),V_B,tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a)) )).++cnf(cls_Set_ODiff__iff_0,axiom,+ ( ~ c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a)+ | c_in(V_c,V_A,T_a) )).++cnf(cls_Set_ODiff__iff_1,axiom,+ ( ~ c_in(V_c,V_B,T_a)+ | ~ c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a) )).++cnf(cls_Set_ODiff__iff_2,axiom,+ ( ~ c_in(V_c,V_A,T_a)+ | c_in(V_c,V_B,T_a)+ | c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a) )).++cnf(cls_Set_ODiff__insert0_0,axiom,+ ( c_in(V_x,V_A,T_a)+ | c_minus(V_A,c_insert(V_x,V_B,T_a),tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a)) )).++cnf(cls_Set_OInt__UNIV_0,axiom,+ ( c_inter(V_A,V_B,T_a) != c_UNIV+ | V_A = c_UNIV )).++cnf(cls_Set_OInt__UNIV_1,axiom,+ ( c_inter(V_A,V_B,T_a) != c_UNIV+ | V_B = c_UNIV )).++cnf(cls_Set_OInt__UNIV_2,axiom,+ ( c_inter(c_UNIV,c_UNIV,T_a) = c_UNIV )).++cnf(cls_Set_OInt__UNIV__left_0,axiom,+ ( c_inter(c_UNIV,V_y,T_a) = V_y )).++cnf(cls_Set_OInt__UNIV__right_0,axiom,+ ( c_inter(V_y,c_UNIV,T_a) = V_y )).++cnf(cls_Set_OInt__absorb_0,axiom,+ ( c_inter(V_y,V_y,T_a) = V_y )).++cnf(cls_Set_OInt__empty__left_0,axiom,+ ( c_inter(c_emptyset,V_B,T_a) = c_emptyset )).++cnf(cls_Set_OInt__empty__right_0,axiom,+ ( c_inter(V_A,c_emptyset,T_a) = c_emptyset )).++cnf(cls_Set_OInt__iff_0,axiom,+ ( ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)+ | c_in(V_c,V_A,T_a) )).++cnf(cls_Set_OInt__iff_1,axiom,+ ( ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)+ | c_in(V_c,V_B,T_a) )).++cnf(cls_Set_OInt__iff_2,axiom,+ ( ~ c_in(V_c,V_B,T_a)+ | ~ c_in(V_c,V_A,T_a)+ | c_in(V_c,c_inter(V_A,V_B,T_a),T_a) )).++cnf(cls_Set_OInt__subset__iff_0,axiom,+ ( ~ c_lessequals(V_C,c_inter(V_A,V_B,T_a),tc_set(T_a))+ | c_lessequals(V_C,V_A,tc_set(T_a)) )).++cnf(cls_Set_OInt__subset__iff_1,axiom,+ ( ~ c_lessequals(V_C,c_inter(V_A,V_B,T_a),tc_set(T_a))+ | c_lessequals(V_C,V_B,tc_set(T_a)) )).++cnf(cls_Set_OInt__subset__iff_2,axiom,+ ( ~ c_lessequals(V_C,V_B,tc_set(T_a))+ | ~ c_lessequals(V_C,V_A,tc_set(T_a))+ | c_lessequals(V_C,c_inter(V_A,V_B,T_a),tc_set(T_a)) )).++cnf(cls_Set_OInter__UNIV_0,axiom,+ ( c_Inter(c_UNIV,T_a) = c_emptyset )).++cnf(cls_Set_OInter__UNIV__conv__1_0,axiom,+ ( ~ c_in(V_U,V_A,tc_set(T_a))+ | c_Inter(V_A,T_a) != c_UNIV+ | V_U = c_UNIV )).++cnf(cls_Set_OInter__UNIV__conv__1_1,axiom,+ ( c_in(c_Main_OInter__UNIV__conv__1__1(V_A,T_a),V_A,tc_set(T_a))+ | c_Inter(V_A,T_a) = c_UNIV )).++cnf(cls_Set_OInter__UNIV__conv__1_2,axiom,+ ( c_Main_OInter__UNIV__conv__1__1(V_A,T_a) != c_UNIV+ | c_Inter(V_A,T_a) = c_UNIV )).++cnf(cls_Set_OInter__UNIV__conv__2_0,axiom,+ ( ~ c_in(V_U,V_A,tc_set(T_a))+ | c_UNIV != c_Inter(V_A,T_a)+ | V_U = c_UNIV )).++cnf(cls_Set_OInter__UNIV__conv__2_1,axiom,+ ( c_in(c_Main_OInter__UNIV__conv__2__1(V_A,T_a),V_A,tc_set(T_a))+ | c_UNIV = c_Inter(V_A,T_a) )).++cnf(cls_Set_OInter__UNIV__conv__2_2,axiom,+ ( c_Main_OInter__UNIV__conv__2__1(V_A,T_a) != c_UNIV+ | c_UNIV = c_Inter(V_A,T_a) )).++cnf(cls_Set_OInter__empty_0,axiom,+ ( c_Inter(c_emptyset,T_a) = c_UNIV )).++cnf(cls_Set_OInter__iff_0,axiom,+ ( ~ c_in(V_U,V_C,tc_set(T_a))+ | ~ c_in(V_A,c_Inter(V_C,T_a),T_a)+ | c_in(V_A,V_U,T_a) )).++cnf(cls_Set_OInter__iff_1,axiom,+ ( c_in(V_A,c_Inter(V_C,T_a),T_a)+ | c_in(c_Main_OInter__iff__1(V_A,V_C,T_a),V_C,tc_set(T_a)) )).++cnf(cls_Set_OInter__iff_2,axiom,+ ( ~ c_in(V_A,c_Main_OInter__iff__1(V_A,V_C,T_a),T_a)+ | c_in(V_A,c_Inter(V_C,T_a),T_a) )).++cnf(cls_Set_OInter__insert_0,axiom,+ ( c_Inter(c_insert(V_a,V_B,tc_set(T_a)),T_a) = c_inter(V_a,c_Inter(V_B,T_a),T_a) )).++cnf(cls_Set_OPow__Int__eq_0,axiom,+ ( c_Pow(c_inter(V_A,V_B,T_a),T_a) = c_inter(c_Pow(V_A,T_a),c_Pow(V_B,T_a),tc_set(T_a)) )).++cnf(cls_Set_OPow__UNIV_0,axiom,+ ( c_Pow(c_UNIV,T_a) = c_UNIV )).++cnf(cls_Set_OPow__empty_0,axiom,+ ( c_Pow(c_emptyset,T_a) = c_insert(c_emptyset,c_emptyset,tc_set(T_a)) )).++cnf(cls_Set_OPow__iff_0,axiom,+ ( ~ c_in(V_A,c_Pow(V_B,T_a),tc_set(T_a))+ | c_lessequals(V_A,V_B,tc_set(T_a)) )).++cnf(cls_Set_OPow__iff_1,axiom,+ ( ~ c_lessequals(V_A,V_B,tc_set(T_a))+ | c_in(V_A,c_Pow(V_B,T_a),tc_set(T_a)) )).++cnf(cls_Set_OUNIV__not__empty_0,axiom,+ ( c_UNIV != c_emptyset )).++cnf(cls_Set_OUn__Diff__cancel2_0,axiom,+ ( c_union(c_minus(V_B,V_A,tc_set(T_a)),V_A,T_a) = c_union(V_B,V_A,T_a) )).++cnf(cls_Set_OUn__Diff__cancel_0,axiom,+ ( c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a) )).++cnf(cls_Set_OUn__UNIV__left_0,axiom,+ ( c_union(c_UNIV,V_B,T_a) = c_UNIV )).++cnf(cls_Set_OUn__UNIV__right_0,axiom,+ ( c_union(V_A,c_UNIV,T_a) = c_UNIV )).++cnf(cls_Set_OUn__absorb_0,axiom,+ ( c_union(V_y,V_y,T_a) = V_y )).++cnf(cls_Set_OUn__empty_0,axiom,+ ( c_union(V_A,V_B,T_a) != c_emptyset+ | V_A = c_emptyset )).++cnf(cls_Set_OUn__empty_1,axiom,+ ( c_union(V_A,V_B,T_a) != c_emptyset+ | V_B = c_emptyset )).++cnf(cls_Set_OUn__empty_2,axiom,+ ( c_union(c_emptyset,c_emptyset,T_a) = c_emptyset )).++cnf(cls_Set_OUn__empty__left_0,axiom,+ ( c_union(c_emptyset,V_y,T_a) = V_y )).++cnf(cls_Set_OUn__empty__right_0,axiom,+ ( c_union(V_y,c_emptyset,T_a) = V_y )).++cnf(cls_Set_OUn__iff_0,axiom,+ ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)+ | c_in(V_c,V_B,T_a)+ | c_in(V_c,V_A,T_a) )).++cnf(cls_Set_OUn__iff_1,axiom,+ ( ~ c_in(V_c,V_A,T_a)+ | c_in(V_c,c_union(V_A,V_B,T_a),T_a) )).++cnf(cls_Set_OUn__iff_2,axiom,+ ( ~ c_in(V_c,V_B,T_a)+ | c_in(V_c,c_union(V_A,V_B,T_a),T_a) )).++cnf(cls_Set_OUn__insert__left_0,axiom,+ ( c_union(c_insert(V_a,V_B,T_a),V_C,T_a) = c_insert(V_a,c_union(V_B,V_C,T_a),T_a) )).++cnf(cls_Set_OUn__insert__right_0,axiom,+ ( c_union(V_A,c_insert(V_a,V_B,T_a),T_a) = c_insert(V_a,c_union(V_A,V_B,T_a),T_a) )).++cnf(cls_Set_OUn__subset__iff_0,axiom,+ ( ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))+ | c_lessequals(V_A,V_C,tc_set(T_a)) )).++cnf(cls_Set_OUn__subset__iff_1,axiom,+ ( ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))+ | c_lessequals(V_B,V_C,tc_set(T_a)) )).++cnf(cls_Set_OUn__subset__iff_2,axiom,+ ( ~ c_lessequals(V_B,V_C,tc_set(T_a))+ | ~ c_lessequals(V_A,V_C,tc_set(T_a))+ | c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) )).++cnf(cls_Set_OUnion__Pow__eq_0,axiom,+ ( c_Union(c_Pow(V_y,T_a),T_a) = V_y )).++cnf(cls_Set_OUnion__UNIV_0,axiom,+ ( c_Union(c_UNIV,T_a) = c_UNIV )).++cnf(cls_Set_OUnion__Un__distrib_0,axiom,+ ( c_Union(c_union(V_A,V_B,tc_set(T_a)),T_a) = c_union(c_Union(V_A,T_a),c_Union(V_B,T_a),T_a) )).++cnf(cls_Set_OUnion__empty_0,axiom,+ ( c_Union(c_emptyset,T_a) = c_emptyset )).++cnf(cls_Set_OUnion__empty__conv_0,axiom,+ ( ~ c_in(V_U,V_A,tc_set(T_a))+ | c_Union(V_A,T_a) != c_emptyset+ | V_U = c_emptyset )).++cnf(cls_Set_OUnion__empty__conv_1,axiom,+ ( c_in(c_Main_OUnion__empty__conv__1(V_A,T_a),V_A,tc_set(T_a))+ | c_Union(V_A,T_a) = c_emptyset )).++cnf(cls_Set_OUnion__empty__conv_2,axiom,+ ( c_Main_OUnion__empty__conv__1(V_A,T_a) != c_emptyset+ | c_Union(V_A,T_a) = c_emptyset )).++cnf(cls_Set_OUnion__iff_0,axiom,+ ( ~ c_in(V_A,c_Union(V_C,T_a),T_a)+ | c_in(c_Main_OUnion__iff__1(V_A,V_C,T_a),V_C,tc_set(T_a)) )).++cnf(cls_Set_OUnion__iff_1,axiom,+ ( ~ c_in(V_A,c_Union(V_C,T_a),T_a)+ | c_in(V_A,c_Main_OUnion__iff__1(V_A,V_C,T_a),T_a) )).++cnf(cls_Set_OUnion__iff_2,axiom,+ ( ~ c_in(V_A,V_U,T_a)+ | ~ c_in(V_U,V_C,tc_set(T_a))+ | c_in(V_A,c_Union(V_C,T_a),T_a) )).++cnf(cls_Set_OUnion__insert_0,axiom,+ ( c_Union(c_insert(V_a,V_B,tc_set(T_a)),T_a) = c_union(V_a,c_Union(V_B,T_a),T_a) )).++cnf(cls_Set_Oall__not__in__conv_0,axiom,+ ( c_in(c_Main_Oall__not__in__conv__1(V_A,T_a),V_A,T_a)+ | V_A = c_emptyset )).++cnf(cls_Set_Ocontents__eq_0,axiom,+ ( c_Set_Ocontents(c_insert(V_y,c_emptyset,T_a),T_a) = V_y )).++cnf(cls_Set_Odisjoint__insert__1_0,axiom,+ ( ~ c_in(V_a,V_B,T_a)+ | c_inter(V_B,c_insert(V_a,V_A,T_a),T_a) != c_emptyset )).++cnf(cls_Set_Odisjoint__insert__1_1,axiom,+ ( c_inter(V_B,c_insert(V_a,V_A,T_a),T_a) != c_emptyset+ | c_inter(V_B,V_A,T_a) = c_emptyset )).++cnf(cls_Set_Odisjoint__insert__1_2,axiom,+ ( c_inter(V_B,V_A,T_a) != c_emptyset+ | c_in(V_a,V_B,T_a)+ | c_inter(V_B,c_insert(V_a,V_A,T_a),T_a) = c_emptyset )).++cnf(cls_Set_Odisjoint__insert__2_0,axiom,+ ( ~ c_in(V_b,V_A,T_a)+ | c_emptyset != c_inter(V_A,c_insert(V_b,V_B,T_a),T_a) )).++cnf(cls_Set_Odisjoint__insert__2_1,axiom,+ ( c_emptyset != c_inter(V_A,c_insert(V_b,V_B,T_a),T_a)+ | c_emptyset = c_inter(V_A,V_B,T_a) )).++cnf(cls_Set_Odisjoint__insert__2_2,axiom,+ ( c_emptyset != c_inter(V_A,V_B,T_a)+ | c_in(V_b,V_A,T_a)+ | c_emptyset = c_inter(V_A,c_insert(V_b,V_B,T_a),T_a) )).++cnf(cls_Set_Odouble__complement_0,axiom,+ ( c_uminus(c_uminus(V_y,tc_set(T_a)),tc_set(T_a)) = V_y )).++cnf(cls_Set_Oempty__Diff_0,axiom,+ ( c_minus(c_emptyset,V_A,tc_set(T_a)) = c_emptyset )).++cnf(cls_Set_Oempty__Union__conv_0,axiom,+ ( ~ c_in(V_U,V_A,tc_set(T_a))+ | c_emptyset != c_Union(V_A,T_a)+ | V_U = c_emptyset )).++cnf(cls_Set_Oempty__Union__conv_1,axiom,+ ( c_in(c_Main_Oempty__Union__conv__1(V_A,T_a),V_A,tc_set(T_a))+ | c_emptyset = c_Union(V_A,T_a) )).++cnf(cls_Set_Oempty__Union__conv_2,axiom,+ ( c_Main_Oempty__Union__conv__1(V_A,T_a) != c_emptyset+ | c_emptyset = c_Union(V_A,T_a) )).++cnf(cls_Set_Oempty__iff_0,axiom,+ ( ~ c_in(V_c,c_emptyset,T_a) )).++cnf(cls_Set_Oempty__not__insert_0,axiom,+ ( c_emptyset != c_insert(V_a,V_A,T_a) )).++cnf(cls_Set_Oinsert__Diff1_0,axiom,+ ( ~ c_in(V_x,V_B,T_a)+ | c_minus(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a)) )).++cnf(cls_Set_Oinsert__Diff__single_0,axiom,+ ( c_insert(V_a,c_minus(V_A,c_insert(V_a,c_emptyset,T_a),tc_set(T_a)),T_a) = c_insert(V_a,V_A,T_a) )).++cnf(cls_Set_Oinsert__absorb2_0,axiom,+ ( c_insert(V_x,c_insert(V_x,V_A,T_a),T_a) = c_insert(V_x,V_A,T_a) )).++cnf(cls_Set_Oinsert__disjoint__1_0,axiom,+ ( ~ c_in(V_a,V_B,T_a)+ | c_inter(c_insert(V_a,V_A,T_a),V_B,T_a) != c_emptyset )).++cnf(cls_Set_Oinsert__disjoint__1_1,axiom,+ ( c_inter(c_insert(V_a,V_A,T_a),V_B,T_a) != c_emptyset+ | c_inter(V_A,V_B,T_a) = c_emptyset )).++cnf(cls_Set_Oinsert__disjoint__1_2,axiom,+ ( c_inter(V_A,V_B,T_a) != c_emptyset+ | c_in(V_a,V_B,T_a)+ | c_inter(c_insert(V_a,V_A,T_a),V_B,T_a) = c_emptyset )).++cnf(cls_Set_Oinsert__disjoint__2_0,axiom,+ ( ~ c_in(V_a,V_B,T_a)+ | c_emptyset != c_inter(c_insert(V_a,V_A,T_a),V_B,T_a) )).++cnf(cls_Set_Oinsert__disjoint__2_1,axiom,+ ( c_emptyset != c_inter(c_insert(V_a,V_A,T_a),V_B,T_a)+ | c_emptyset = c_inter(V_A,V_B,T_a) )).++cnf(cls_Set_Oinsert__disjoint__2_2,axiom,+ ( c_emptyset != c_inter(V_A,V_B,T_a)+ | c_in(V_a,V_B,T_a)+ | c_emptyset = c_inter(c_insert(V_a,V_A,T_a),V_B,T_a) )).++cnf(cls_Set_Oinsert__iff_0,axiom,+ ( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)+ | c_in(V_a,V_A,T_a)+ | V_a = V_b )).++cnf(cls_Set_Oinsert__iff_1,axiom,+ ( c_in(V_x,c_insert(V_x,V_A,T_a),T_a) )).++cnf(cls_Set_Oinsert__iff_2,axiom,+ ( ~ c_in(V_a,V_A,T_a)+ | c_in(V_a,c_insert(V_b,V_A,T_a),T_a) )).++cnf(cls_Set_Oinsert__inter__insert_0,axiom,+ ( c_inter(c_insert(V_a,V_A,T_a),c_insert(V_a,V_B,T_a),T_a) = c_insert(V_a,c_inter(V_A,V_B,T_a),T_a) )).++cnf(cls_Set_Oinsert__not__empty_0,axiom,+ ( c_insert(V_a,V_A,T_a) != c_emptyset )).++cnf(cls_Set_Oinsert__subset_0,axiom,+ ( ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))+ | c_in(V_x,V_B,T_a) )).++cnf(cls_Set_Oinsert__subset_1,axiom,+ ( ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))+ | c_lessequals(V_A,V_B,tc_set(T_a)) )).++cnf(cls_Set_Oinsert__subset_2,axiom,+ ( ~ c_in(V_x,V_B,T_a)+ | ~ c_lessequals(V_A,V_B,tc_set(T_a))+ | c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) )).++cnf(cls_Set_Onot__psubset__empty_0,axiom,+ ( ~ c_less(V_A,c_emptyset,tc_set(T_a)) )).++cnf(cls_Set_Osingleton__insert__inj__eq_0,axiom,+ ( c_insert(V_b,c_emptyset,T_a) != c_insert(V_a,V_A,T_a)+ | V_a = V_b )).++cnf(cls_Set_Osingleton__insert__inj__eq_1,axiom,+ ( c_insert(V_b,c_emptyset,T_a) != c_insert(V_a,V_A,T_a)+ | c_lessequals(V_A,c_insert(V_b,c_emptyset,T_a),tc_set(T_a)) )).++cnf(cls_Set_Osingleton__insert__inj__eq_2,axiom,+ ( ~ c_lessequals(V_A,c_insert(V_x,c_emptyset,T_a),tc_set(T_a))+ | c_insert(V_x,c_emptyset,T_a) = c_insert(V_x,V_A,T_a) )).++cnf(cls_Set_Osingleton__insert__inj__eq_H_0,axiom,+ ( c_insert(V_a,V_A,T_a) != c_insert(V_b,c_emptyset,T_a)+ | V_a = V_b )).++cnf(cls_Set_Osingleton__insert__inj__eq_H_1,axiom,+ ( c_insert(V_a,V_A,T_a) != c_insert(V_b,c_emptyset,T_a)+ | c_lessequals(V_A,c_insert(V_b,c_emptyset,T_a),tc_set(T_a)) )).++cnf(cls_Set_Osingleton__insert__inj__eq_H_2,axiom,+ ( ~ c_lessequals(V_A,c_insert(V_x,c_emptyset,T_a),tc_set(T_a))+ | c_insert(V_x,V_A,T_a) = c_insert(V_x,c_emptyset,T_a) )).++cnf(cls_Set_Osubset__UNIV_0,axiom,+ ( c_lessequals(V_A,c_UNIV,tc_set(T_a)) )).++cnf(cls_Set_Osubset__empty_0,axiom,+ ( ~ c_lessequals(V_A,c_emptyset,tc_set(T_a))+ | V_A = c_emptyset )).++cnf(cls_Set_Osubset__empty_1,axiom,+ ( c_lessequals(c_emptyset,c_emptyset,tc_set(T_a)) )).++cnf(cls_Sum__Type_OInl__eq_0,axiom,+ ( c_Sum__Type_OInl(V_x,T_a,T_b) != c_Sum__Type_OInl(V_y,T_a,T_b)+ | V_x = V_y )).++cnf(cls_Sum__Type_OInl__not__Inr_0,axiom,+ ( c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a) )).++cnf(cls_Sum__Type_OInr__eq_0,axiom,+ ( c_Sum__Type_OInr(V_x,T_b,T_a) != c_Sum__Type_OInr(V_y,T_b,T_a)+ | V_x = V_y )).++cnf(cls_Sum__Type_OInr__not__Inl_0,axiom,+ ( c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b) )).++cnf(cls_Sum__Type_OUNIV__Plus__UNIV_0,axiom,+ ( c_Sum__Type_OPlus(c_UNIV,c_UNIV,T_a,T_b) = c_UNIV )).++cnf(cls_Transitive__Closure_ODomain__rtrancl_0,axiom,+ ( c_Relation_ODomain(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_UNIV )).++cnf(cls_Transitive__Closure_ORange__rtrancl_0,axiom,+ ( c_Relation_ORange(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_UNIV )).++cnf(cls_Transitive__Closure_Oreflcl__trancl_0,axiom,+ ( c_union(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId,tc_prod(T_a,T_a)) = c_Transitive__Closure_Ortrancl(V_r,T_a) )).++cnf(cls_Transitive__Closure_Ortrancl__empty_0,axiom,+ ( c_Transitive__Closure_Ortrancl(c_emptyset,T_a) = c_Relation_OId )).++cnf(cls_Transitive__Closure_Ortrancl__idemp_0,axiom,+ ( c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) )).++cnf(cls_Transitive__Closure_Ortrancl__idemp__self__comp_0,axiom,+ ( c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) )).++cnf(cls_Transitive__Closure_Ortrancl__reflcl_0,axiom,+ ( c_Transitive__Closure_Ortrancl(c_union(V_R,c_Relation_OId,tc_prod(T_a,T_a)),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) )).++cnf(cls_Transitive__Closure_Otrancl__domain_0,axiom,+ ( c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a) )).++cnf(cls_Transitive__Closure_Otrancl__empty_0,axiom,+ ( c_Transitive__Closure_Otrancl(c_emptyset,T_a) = c_emptyset )).++cnf(cls_Transitive__Closure_Otrancl__range_0,axiom,+ ( c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a) )).++cnf(cls_Transitive__Closure_Otrancl__reflcl_0,axiom,+ ( c_Transitive__Closure_Otrancl(c_union(V_r,c_Relation_OId,tc_prod(T_a,T_a)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) )).++cnf(cls_Wellfounded__Recursion_Oacyclic__converse_0,axiom,+ ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a)+ | c_Wellfounded__Recursion_Oacyclic(V_r,T_a) )).++cnf(cls_Wellfounded__Recursion_Oacyclic__converse_1,axiom,+ ( ~ c_Wellfounded__Recursion_Oacyclic(V_r,T_a)+ | c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) )).++cnf(cls_Wellfounded__Recursion_Oacyclic__insert_0,axiom,+ ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | c_Wellfounded__Recursion_Oacyclic(V_r,T_a) )).++cnf(cls_Wellfounded__Recursion_Oacyclic__insert_1,axiom,+ ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Wellfounded__Recursion_Oacyclic__insert_2,axiom,+ ( ~ c_Wellfounded__Recursion_Oacyclic(V_r,T_a)+ | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Wellfounded__Recursion_Owf__insert_0,axiom,+ ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | c_Wellfounded__Recursion_Owf(V_r,T_a) )).++cnf(cls_Wellfounded__Recursion_Owf__insert_1,axiom,+ ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Wellfounded__Recursion_Owf__insert_2,axiom,+ ( ~ c_Wellfounded__Recursion_Owf(V_r,T_a)+ | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Wellfounded__Recursion_Owf__not__refl_0,axiom,+ ( ~ c_Wellfounded__Recursion_Owf(V_r,T_a)+ | ~ c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) )).++cnf(cls_Wellfounded__Relations_Oless__than__iff_0,axiom,+ ( ~ c_in(c_Pair(V_x,V_y,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))+ | c_less(V_x,V_y,tc_nat) )).++cnf(cls_Wellfounded__Relations_Oless__than__iff_1,axiom,+ ( ~ c_less(V_x,V_y,tc_nat)+ | c_in(c_Pair(V_x,V_y,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/MSC001-2.ax view
@@ -0,0 +1,794 @@+%------------------------------------------------------------------------------+% File : MSC001-2 : TPTP v7.2.0. Released v3.2.0.+% Domain : Miscellaneous+% Axioms : Sets, numbers, lists, etc, that make up the Isabelle/HOL library+% Version : [Pau06] axioms.+% English : The files MSC001-[012].ax .ax are really about everything: sets,+% numbers, lists and all the other things that make up the basic+% Isabelle/HOL library. Also, many of the axioms in MSC001-0.ax+% describe the Isabelle/HOL type class hierarchy.++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : set.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 198 ( 11 non-Horn; 57 unit; 166 RR)+% Number of atoms : 371 ( 157 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 10 ( 0 propositional; 1-3 arity)+% Number of functors : 60 ( 15 constant; 0-4 arity)+% Number of variables : 557 ( 144 singleton)+% Maximal term depth : 4 ( 1 average)+% SPC : ++% Comments : Requires MSC001-0.ax+%------------------------------------------------------------------------------+cnf(cls_Datatype_Oelem__o2s__iff1_0,axiom,+ ( ~ c_in(V_x,c_Datatype_Oo2s(V_xo,T_a),T_a)+ | V_xo = c_Datatype_Ooption_OSome(V_x,T_a) )).++cnf(cls_Datatype_Oelem__o2s__iff2_0,axiom,+ ( c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a) )).++cnf(cls_Datatype_Onot__None__eq__iff1_0,axiom,+ ( V_x = c_Datatype_Ooption_ONone+ | V_x = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(V_x,T_a),T_a) )).++cnf(cls_Datatype_Onot__Some__eq__iff1_0,axiom,+ ( V_x = c_Datatype_Ooption_ONone+ | V_x = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(V_x,T_a),T_a) )).++cnf(cls_Datatype_Ooption_Odistinct__1__iff1_0,axiom,+ ( c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a) )).++cnf(cls_Datatype_Ooption_Odistinct__2__iff1_0,axiom,+ ( c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone )).++cnf(cls_Datatype_Ooption_Oinject__iff1_0,axiom,+ ( c_Datatype_Ooption_OSome(V_a,T_a) != c_Datatype_Ooption_OSome(V_a_H,T_a)+ | V_a = V_a_H )).++cnf(cls_Datatype__Universe_OAtom__Atom__eq__iff1_0,axiom,+ ( c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OAtom(V_b,T_a,T_b)+ | V_a = V_b )).++cnf(cls_Datatype__Universe_OAtom__not__Scons__iff1_0,axiom,+ ( c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) )).++cnf(cls_Datatype__Universe_OIn0__eq__iff1_0,axiom,+ ( c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn0(V_N,T_a,T_b)+ | V_M = V_N )).++cnf(cls_Datatype__Universe_OIn0__not__In1__iff1_0,axiom,+ ( c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b) )).++cnf(cls_Datatype__Universe_OIn1__eq__iff1_0,axiom,+ ( c_Datatype__Universe_OIn1(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b)+ | V_M = V_N )).++cnf(cls_Datatype__Universe_OIn1__not__In0__iff1_0,axiom,+ ( c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b) )).++cnf(cls_Datatype__Universe_OLeaf__not__Numb__iff1_0,axiom,+ ( c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b) )).++cnf(cls_Datatype__Universe_OLeaf__not__Scons__iff1_0,axiom,+ ( c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) )).++cnf(cls_Datatype__Universe_ONumb__not__Leaf__iff1_0,axiom,+ ( c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b) )).++cnf(cls_Datatype__Universe_ONumb__not__Scons__iff1_0,axiom,+ ( c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) )).++cnf(cls_Datatype__Universe_OScons__Scons__eq__iff1_0,axiom,+ ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OScons(V_M_H,V_N_H,T_a,T_b)+ | V_M = V_M_H )).++cnf(cls_Datatype__Universe_OScons__Scons__eq__iff1_1,axiom,+ ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OScons(V_M_H,V_N_H,T_a,T_b)+ | V_N = V_N_H )).++cnf(cls_Datatype__Universe_OScons__not__Atom__iff1_0,axiom,+ ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b) )).++cnf(cls_Datatype__Universe_OScons__not__Leaf__iff1_0,axiom,+ ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b) )).++cnf(cls_Datatype__Universe_OScons__not__Numb__iff1_0,axiom,+ ( c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b) )).++cnf(cls_Divides_Odvd__0__left__iff__iff1_0,axiom,+ ( ~ c_Divides_Oop_Advd(c_0,V_m,tc_nat)+ | V_m = c_0 )).++cnf(cls_Divides_Odvd__0__left__iff__iff2_0,axiom,+ ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) )).++cnf(cls_Equiv__Relations_Oquotient__is__empty2__iff1_0,axiom,+ ( c_emptyset != c_Equiv__Relations_Oquotient(V_A,V_r,T_a)+ | V_A = c_emptyset )).++cnf(cls_Equiv__Relations_Oquotient__is__empty2__iff2_0,axiom,+ ( c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) )).++cnf(cls_Equiv__Relations_Oquotient__is__empty__iff1_0,axiom,+ ( c_Equiv__Relations_Oquotient(V_A,V_r,T_a) != c_emptyset+ | V_A = c_emptyset )).++cnf(cls_Equiv__Relations_Oquotient__is__empty__iff2_0,axiom,+ ( c_Equiv__Relations_Oquotient(c_emptyset,V_r,T_a) = c_emptyset )).++cnf(cls_Extraction_Osumbool_Odistinct__1__iff1_0,axiom,+ ( c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight )).++cnf(cls_Extraction_Osumbool_Odistinct__2__iff1_0,axiom,+ ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft )).++cnf(cls_Finite__Set_Ofinite__Diff__insert__iff1_0,axiom,+ ( ~ c_in(c_minus(V_A,c_insert(V_a,V_B,T_a),tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_minus(V_A,V_B,tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Diff__insert__iff2_0,axiom,+ ( ~ c_in(c_minus(V_A,V_B,tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_minus(V_A,c_insert(V_a,V_B,T_a),tc_set(T_a)),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Pow__iff__iff1_0,axiom,+ ( ~ c_in(c_Pow(V_A,T_a),c_Finite__Set_OFinites,tc_set(tc_set(T_a)))+ | c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Pow__iff__iff2_0,axiom,+ ( ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_Pow(V_A,T_a),c_Finite__Set_OFinites,tc_set(tc_set(T_a))) )).++cnf(cls_Finite__Set_Ofinite__Un__iff1_0,axiom,+ ( ~ c_in(c_union(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(V_F,c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Un__iff1_1,axiom,+ ( ~ c_in(c_union(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(V_G,c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__Un__iff2_0,axiom,+ ( ~ c_in(V_G,c_Finite__Set_OFinites,tc_set(T_a))+ | ~ c_in(V_F,c_Finite__Set_OFinites,tc_set(T_a))+ | c_in(c_union(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a)) )).++cnf(cls_Finite__Set_Ofinite__converse__iff1_0,axiom,+ ( ~ c_in(c_Relation_Oconverse(V_r,T_b,T_a),c_Finite__Set_OFinites,tc_set(tc_prod(T_a,T_b)))+ | c_in(V_r,c_Finite__Set_OFinites,tc_set(tc_prod(T_b,T_a))) )).++cnf(cls_Finite__Set_Ofinite__converse__iff2_0,axiom,+ ( ~ c_in(V_r,c_Finite__Set_OFinites,tc_set(tc_prod(T_b,T_a)))+ | c_in(c_Relation_Oconverse(V_r,T_b,T_a),c_Finite__Set_OFinites,tc_set(tc_prod(T_a,T_b))) )).++cnf(cls_GCD_Ogcd__greatest__iff__iff1_0,axiom,+ ( ~ c_Divides_Oop_Advd(V_k,c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),tc_nat)+ | c_Divides_Oop_Advd(V_k,V_m,tc_nat) )).++cnf(cls_GCD_Ogcd__greatest__iff__iff1_1,axiom,+ ( ~ c_Divides_Oop_Advd(V_k,c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),tc_nat)+ | c_Divides_Oop_Advd(V_k,V_n,tc_nat) )).++cnf(cls_GCD_Ogcd__greatest__iff__iff2_0,axiom,+ ( ~ c_Divides_Oop_Advd(V_k,V_n,tc_nat)+ | ~ c_Divides_Oop_Advd(V_k,V_m,tc_nat)+ | c_Divides_Oop_Advd(V_k,c_GCD_Ogcd(c_Pair(V_m,V_n,tc_nat,tc_nat)),tc_nat) )).++cnf(cls_Infinite__Set_Onat__not__finite_0,axiom,+ ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) )).++cnf(cls_IntDef_Oint__int__eq__iff1_0,axiom,+ ( c_IntDef_Oint(V_m) != c_IntDef_Oint(V_n)+ | V_m = V_n )).++cnf(cls_IntDiv_Odvd__zminus__iff__iff1_0,axiom,+ ( ~ c_Divides_Oop_Advd(V_z,c_uminus(V_w,tc_IntDef_Oint),tc_IntDef_Oint)+ | c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Odvd__zminus__iff__iff2_0,axiom,+ ( ~ c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint)+ | c_Divides_Oop_Advd(V_z,c_uminus(V_w,tc_IntDef_Oint),tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozdvd__0__left__iff1_0,axiom,+ ( ~ c_Divides_Oop_Advd(c_0,V_m,tc_IntDef_Oint)+ | V_m = c_0 )).++cnf(cls_IntDiv_Ozdvd__0__left__iff2_0,axiom,+ ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozminus__dvd__iff__iff1_0,axiom,+ ( ~ c_Divides_Oop_Advd(c_uminus(V_z,tc_IntDef_Oint),V_w,tc_IntDef_Oint)+ | c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint) )).++cnf(cls_IntDiv_Ozminus__dvd__iff__iff2_0,axiom,+ ( ~ c_Divides_Oop_Advd(V_z,V_w,tc_IntDef_Oint)+ | c_Divides_Oop_Advd(c_uminus(V_z,tc_IntDef_Oint),V_w,tc_IntDef_Oint) )).++cnf(cls_List_ONil2__notin__lex__iff1_0,axiom,+ ( ~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_ONil__is__append__conv__iff1_0,axiom,+ ( c_List_Olist_ONil != c_append(V_xs,V_ys,T_a)+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_ONil__is__append__conv__iff1_1,axiom,+ ( c_List_Olist_ONil != c_append(V_xs,V_ys,T_a)+ | V_ys = c_List_Olist_ONil )).++cnf(cls_List_ONil__is__append__conv__iff2_0,axiom,+ ( c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) )).++cnf(cls_List_ONil__is__rev__conv__iff1_0,axiom,+ ( c_List_Olist_ONil != c_List_Orev(V_xs,T_a)+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_ONil__is__rev__conv__iff2_0,axiom,+ ( c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,T_a) )).++cnf(cls_List_ONil__notin__lex__iff1_0,axiom,+ ( ~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))) )).++cnf(cls_List_Oappend1__eq__conv__iff1_0,axiom,+ ( c_append(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) != c_append(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a)+ | V_xs = V_ys )).++cnf(cls_List_Oappend1__eq__conv__iff1_1,axiom,+ ( c_append(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil,T_a),T_a) != c_append(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a)+ | V_x = V_y )).++cnf(cls_List_Oappend__in__lists__conv__iff1_0,axiom,+ ( ~ c_in(c_append(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_Oappend__in__lists__conv__iff1_1,axiom,+ ( ~ c_in(c_append(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_Oappend__in__lists__conv__iff2_0,axiom,+ ( ~ c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | ~ c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))+ | c_in(c_append(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) )).++cnf(cls_List_Oappend__is__Nil__conv__iff1_0,axiom,+ ( c_append(V_xs,V_ys,T_a) != c_List_Olist_ONil+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Oappend__is__Nil__conv__iff1_1,axiom,+ ( c_append(V_xs,V_ys,T_a) != c_List_Olist_ONil+ | V_ys = c_List_Olist_ONil )).++cnf(cls_List_Oappend__is__Nil__conv__iff2_0,axiom,+ ( c_append(c_List_Olist_ONil,c_List_Olist_ONil,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Oappend__same__eq__iff1_0,axiom,+ ( c_append(V_ys,V_xs,T_a) != c_append(V_zs,V_xs,T_a)+ | V_ys = V_zs )).++cnf(cls_List_Oappend__self__conv2__iff1_0,axiom,+ ( c_append(V_xs,V_ys,T_a) != V_ys+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Oappend__self__conv2__iff2_0,axiom,+ ( c_append(c_List_Olist_ONil,V_ys,T_a) = V_ys )).++cnf(cls_List_Oappend__self__conv__iff1_0,axiom,+ ( c_append(V_xs,V_ys,T_a) != V_xs+ | V_ys = c_List_Olist_ONil )).++cnf(cls_List_Oappend__self__conv__iff2_0,axiom,+ ( c_append(V_xs,c_List_Olist_ONil,T_a) = V_xs )).++cnf(cls_List_Ochar_Oinject__iff1_0,axiom,+ ( c_List_Ochar_OChar(V_nibble1,V_nibble2) != c_List_Ochar_OChar(V_nibble1_H,V_nibble2_H)+ | V_nibble1 = V_nibble1_H )).++cnf(cls_List_Ochar_Oinject__iff1_1,axiom,+ ( c_List_Ochar_OChar(V_nibble1,V_nibble2) != c_List_Ochar_OChar(V_nibble1_H,V_nibble2_H)+ | V_nibble2 = V_nibble2_H )).++cnf(cls_List_Olength__0__conv__iff1_0,axiom,+ ( c_Nat_Osize(V_xs,tc_List_Olist(T_a)) != c_0+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Olength__0__conv__iff2_0,axiom,+ ( c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)) = c_0 )).++cnf(cls_List_Olength__greater__0__conv__iff1_0,axiom,+ ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat) )).++cnf(cls_List_Olength__greater__0__conv__iff2_0,axiom,+ ( c_less(c_0,c_Nat_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Olength__remdups__eq__iff1_0,axiom,+ ( c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) != c_Nat_Osize(V_xs,tc_List_Olist(T_a))+ | c_List_Oremdups(V_xs,T_a) = V_xs )).++cnf(cls_List_Olength__remdups__eq__iff2_0,axiom,+ ( c_List_Oremdups(V_xs,T_a) != V_xs+ | c_Nat_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize(V_xs,tc_List_Olist(T_a)) )).++cnf(cls_List_Olist_Odistinct__1__iff1_0,axiom,+ ( c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a) )).++cnf(cls_List_Olist_Odistinct__2__iff1_0,axiom,+ ( c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil )).++cnf(cls_List_Olist_Oinject__iff1_0,axiom,+ ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)+ | V_a = V_a_H )).++cnf(cls_List_Olist_Oinject__iff1_1,axiom,+ ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)+ | V_list = V_list_H )).++cnf(cls_List_Orev__eq__Cons__iff__iff1_0,axiom,+ ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)+ | V_xs = c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a) )).++cnf(cls_List_Orev__eq__Cons__iff__iff2_0,axiom,+ ( c_List_Orev(c_append(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil,T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) )).++cnf(cls_List_Orev__is__Nil__conv__iff1_0,axiom,+ ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Orev__is__Nil__conv__iff2_0,axiom,+ ( c_List_Orev(c_List_Olist_ONil,T_a) = c_List_Olist_ONil )).++cnf(cls_List_Orev__is__rev__conv__iff1_0,axiom,+ ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)+ | V_xs = V_ys )).++cnf(cls_List_Osame__append__eq__iff1_0,axiom,+ ( c_append(V_xs,V_ys,T_a) != c_append(V_xs,V_zs,T_a)+ | V_ys = V_zs )).++cnf(cls_List_Oself__append__conv2__iff1_0,axiom,+ ( V_ys != c_append(V_xs,V_ys,T_a)+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Oself__append__conv2__iff2_0,axiom,+ ( V_ys = c_append(c_List_Olist_ONil,V_ys,T_a) )).++cnf(cls_List_Oself__append__conv__iff1_0,axiom,+ ( V_xs != c_append(V_xs,V_ys,T_a)+ | V_ys = c_List_Olist_ONil )).++cnf(cls_List_Oself__append__conv__iff2_0,axiom,+ ( V_xs = c_append(V_xs,c_List_Olist_ONil,T_a) )).++cnf(cls_List_Oset__empty2__iff1_0,axiom,+ ( c_emptyset != c_List_Oset(V_xs,T_a)+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Oset__empty2__iff2_0,axiom,+ ( c_emptyset = c_List_Oset(c_List_Olist_ONil,T_a) )).++cnf(cls_List_Oset__empty__iff1_0,axiom,+ ( c_List_Oset(V_xs,T_a) != c_emptyset+ | V_xs = c_List_Olist_ONil )).++cnf(cls_List_Oset__empty__iff2_0,axiom,+ ( c_List_Oset(c_List_Olist_ONil,T_a) = c_emptyset )).++cnf(cls_Nat_OSuc__Suc__eq__iff1_0,axiom,+ ( c_Suc(V_m) != c_Suc(V_n)+ | V_m = V_n )).++cnf(cls_Nat_OSuc__le__mono__iff1_0,axiom,+ ( ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)+ | c_lessequals(V_n,V_m,tc_nat) )).++cnf(cls_Nat_OSuc__le__mono__iff2_0,axiom,+ ( ~ c_lessequals(V_n,V_m,tc_nat)+ | c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) )).++cnf(cls_Nat_OSuc__less__eq__iff1_0,axiom,+ ( ~ c_less(c_Suc(V_m),c_Suc(V_n),tc_nat)+ | c_less(V_m,V_n,tc_nat) )).++cnf(cls_Nat_OSuc__less__eq__iff2_0,axiom,+ ( ~ c_less(V_m,V_n,tc_nat)+ | c_less(c_Suc(V_m),c_Suc(V_n),tc_nat) )).++cnf(cls_Nat_OSuc__not__Zero__iff1_0,axiom,+ ( c_Suc(V_m) != c_0 )).++cnf(cls_Nat_OZero__not__Suc__iff1_0,axiom,+ ( c_0 != c_Suc(V_m) )).++cnf(cls_Nat_Oadd__gr__0__iff1_0,axiom,+ ( ~ c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat)+ | c_less(c_0,V_n,tc_nat)+ | c_less(c_0,V_m,tc_nat) )).++cnf(cls_Nat_Oadd__gr__0__iff2_0,axiom,+ ( ~ c_less(c_0,V_m,tc_nat)+ | c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Oadd__gr__0__iff2_1,axiom,+ ( ~ c_less(c_0,V_n,tc_nat)+ | c_less(c_0,c_plus(V_m,V_n,tc_nat),tc_nat) )).++cnf(cls_Nat_Oadd__is__0__iff1_0,axiom,+ ( c_plus(V_m,V_n,tc_nat) != c_0+ | V_m = c_0 )).++cnf(cls_Nat_Oadd__is__0__iff1_1,axiom,+ ( c_plus(V_m,V_n,tc_nat) != c_0+ | V_n = c_0 )).++cnf(cls_Nat_Oadd__is__0__iff2_0,axiom,+ ( c_plus(c_0,c_0,tc_nat) = c_0 )).++cnf(cls_Nat_Ole__0__eq__iff1_0,axiom,+ ( ~ c_lessequals(V_i,c_0,tc_nat)+ | V_i = c_0 )).++cnf(cls_Nat_Ole__0__eq__iff2_0,axiom,+ ( c_lessequals(c_0,c_0,tc_nat) )).++cnf(cls_Nat_Oless__Suc0__iff1_0,axiom,+ ( ~ c_less(V_n,c_Suc(c_0),tc_nat)+ | V_n = c_0 )).++cnf(cls_Nat_Oless__Suc0__iff2_0,axiom,+ ( c_less(c_0,c_Suc(c_0),tc_nat) )).++cnf(cls_Nat_Oless__one__iff1_0,axiom,+ ( ~ c_less(V_n,c_1,tc_nat)+ | V_n = c_0 )).++cnf(cls_Nat_Oless__one__iff2_0,axiom,+ ( c_less(c_0,c_1,tc_nat) )).++cnf(cls_Nat_Oneq0__conv__iff1_0,axiom,+ ( c_less(c_0,V_n,tc_nat)+ | V_n = c_0 )).++cnf(cls_Nat_Oneq0__conv__iff2_0,axiom,+ ( ~ c_less(c_0,c_0,tc_nat) )).++cnf(cls_Nat_Onot__add__less1__iff1_0,axiom,+ ( ~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat) )).++cnf(cls_Nat_Onot__add__less2__iff1_0,axiom,+ ( ~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat) )).++cnf(cls_Nat_Onot__less0__iff1_0,axiom,+ ( ~ c_less(V_n,c_0,tc_nat) )).++cnf(cls_Numeral_Obit_Odistinct__1__iff1_0,axiom,+ ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 )).++cnf(cls_Numeral_Obit_Odistinct__2__iff1_0,axiom,+ ( c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0 )).++cnf(cls_Orderings_Oorder__less__irrefl__iff1_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_less(V_x,V_x,T_a) )).++cnf(cls_Product__Type_OPair__eq__iff1_0,axiom,+ ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)+ | V_a = V_a_H )).++cnf(cls_Product__Type_OPair__eq__iff1_1,axiom,+ ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)+ | V_b = V_b_H )).++cnf(cls_Relation_OIdI_0,axiom,+ ( c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a)) )).++cnf(cls_Relation_OImage__singleton__iff__iff1_0,axiom,+ ( ~ c_in(V_b,c_Relation_OImage(V_r,c_insert(V_a,c_emptyset,T_b),T_b,T_a),T_a)+ | c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) )).++cnf(cls_Relation_OImage__singleton__iff__iff2_0,axiom,+ ( ~ c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))+ | c_in(V_b,c_Relation_OImage(V_r,c_insert(V_a,c_emptyset,T_b),T_b,T_a),T_a) )).++cnf(cls_Relation_Oconverse__iff__iff1_0,axiom,+ ( ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b))+ | c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) )).++cnf(cls_Relation_Oconverse__iff__iff2_0,axiom,+ ( ~ c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))+ | c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)) )).++cnf(cls_Relation_Opair__in__Id__conv__iff1_0,axiom,+ ( ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Relation_OId,tc_prod(T_a,T_a))+ | V_a = V_b )).++cnf(cls_SetInterval_OatLeast__eq__iff__iff1_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_SetInterval_OatLeast(V_x,T_a) != c_SetInterval_OatLeast(V_y,T_a)+ | V_x = V_y )).++cnf(cls_SetInterval_OatLeast__iff__iff1_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OatLeast(V_k,T_a),T_a)+ | c_lessequals(V_k,V_i,T_a) )).++cnf(cls_SetInterval_OatLeast__iff__iff2_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_lessequals(V_k,V_i,T_a)+ | c_in(V_i,c_SetInterval_OatLeast(V_k,T_a),T_a) )).++cnf(cls_SetInterval_OatLeast__subset__iff__iff1_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_lessequals(c_SetInterval_OatLeast(V_x,T_a),c_SetInterval_OatLeast(V_y,T_a),tc_set(T_a))+ | c_lessequals(V_y,V_x,T_a) )).++cnf(cls_SetInterval_OatLeast__subset__iff__iff2_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_lessequals(V_y,V_x,T_a)+ | c_lessequals(c_SetInterval_OatLeast(V_x,T_a),c_SetInterval_OatLeast(V_y,T_a),tc_set(T_a)) )).++cnf(cls_SetInterval_OatMost__eq__iff__iff1_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_SetInterval_OatMost(V_x,T_a) != c_SetInterval_OatMost(V_y,T_a)+ | V_x = V_y )).++cnf(cls_SetInterval_OatMost__iff__iff1_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OatMost(V_k,T_a),T_a)+ | c_lessequals(V_i,V_k,T_a) )).++cnf(cls_SetInterval_OatMost__iff__iff2_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_lessequals(V_i,V_k,T_a)+ | c_in(V_i,c_SetInterval_OatMost(V_k,T_a),T_a) )).++cnf(cls_SetInterval_OatMost__subset__iff__iff1_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_lessequals(c_SetInterval_OatMost(V_x,T_a),c_SetInterval_OatMost(V_y,T_a),tc_set(T_a))+ | c_lessequals(V_x,V_y,T_a) )).++cnf(cls_SetInterval_OatMost__subset__iff__iff2_0,axiom,+ ( ~ class_Orderings_Oorder(T_a)+ | ~ c_lessequals(V_x,V_y,T_a)+ | c_lessequals(c_SetInterval_OatMost(V_x,T_a),c_SetInterval_OatMost(V_y,T_a),tc_set(T_a)) )).++cnf(cls_SetInterval_OgreaterThan__eq__iff__iff1_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_SetInterval_OgreaterThan(V_x,T_a) != c_SetInterval_OgreaterThan(V_y,T_a)+ | V_x = V_y )).++cnf(cls_SetInterval_OgreaterThan__iff__iff1_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OgreaterThan(V_k,T_a),T_a)+ | c_less(V_k,V_i,T_a) )).++cnf(cls_SetInterval_OgreaterThan__iff__iff2_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_less(V_k,V_i,T_a)+ | c_in(V_i,c_SetInterval_OgreaterThan(V_k,T_a),T_a) )).++cnf(cls_SetInterval_OgreaterThan__subset__iff__iff1_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(c_SetInterval_OgreaterThan(V_x,T_a),c_SetInterval_OgreaterThan(V_y,T_a),tc_set(T_a))+ | c_lessequals(V_y,V_x,T_a) )).++cnf(cls_SetInterval_OgreaterThan__subset__iff__iff2_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(V_y,V_x,T_a)+ | c_lessequals(c_SetInterval_OgreaterThan(V_x,T_a),c_SetInterval_OgreaterThan(V_y,T_a),tc_set(T_a)) )).++cnf(cls_SetInterval_OlessThan__eq__iff__iff1_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | c_SetInterval_OlessThan(V_x,T_a) != c_SetInterval_OlessThan(V_y,T_a)+ | V_x = V_y )).++cnf(cls_SetInterval_OlessThan__iff__iff1_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_in(V_i,c_SetInterval_OlessThan(V_k,T_a),T_a)+ | c_less(V_i,V_k,T_a) )).++cnf(cls_SetInterval_OlessThan__iff__iff2_0,axiom,+ ( ~ class_Orderings_Oord(T_a)+ | ~ c_less(V_i,V_k,T_a)+ | c_in(V_i,c_SetInterval_OlessThan(V_k,T_a),T_a) )).++cnf(cls_SetInterval_OlessThan__subset__iff__iff1_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(c_SetInterval_OlessThan(V_x,T_a),c_SetInterval_OlessThan(V_y,T_a),tc_set(T_a))+ | c_lessequals(V_x,V_y,T_a) )).++cnf(cls_SetInterval_OlessThan__subset__iff__iff2_0,axiom,+ ( ~ class_Orderings_Olinorder(T_a)+ | ~ c_lessequals(V_x,V_y,T_a)+ | c_lessequals(c_SetInterval_OlessThan(V_x,T_a),c_SetInterval_OlessThan(V_y,T_a),tc_set(T_a)) )).++cnf(cls_Set_OComplD__dest_0,axiom,+ ( ~ c_in(V_c,V_A,T_a)+ | ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) )).++cnf(cls_Set_OComplI_0,axiom,+ ( c_in(V_c,V_A,T_a)+ | c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) )).++cnf(cls_Set_OCompl__eq__Compl__iff__iff1_0,axiom,+ ( c_uminus(V_A,tc_set(T_a)) != c_uminus(V_B,tc_set(T_a))+ | V_A = V_B )).++cnf(cls_Set_OCompl__subset__Compl__iff__iff1_0,axiom,+ ( ~ c_lessequals(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),tc_set(T_a))+ | c_lessequals(V_B,V_A,tc_set(T_a)) )).++cnf(cls_Set_OCompl__subset__Compl__iff__iff2_0,axiom,+ ( ~ c_lessequals(V_B,V_A,tc_set(T_a))+ | c_lessequals(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),tc_set(T_a)) )).++cnf(cls_Set_ODiffE_0,axiom,+ ( ~ c_in(V_c,V_B,T_a)+ | ~ c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a) )).++cnf(cls_Set_ODiffE_1,axiom,+ ( ~ c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a)+ | c_in(V_c,V_A,T_a) )).++cnf(cls_Set_ODiffI_0,axiom,+ ( ~ c_in(V_c,V_A,T_a)+ | c_in(V_c,V_B,T_a)+ | c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a) )).++cnf(cls_Set_OIntE_0,axiom,+ ( ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)+ | c_in(V_c,V_B,T_a) )).++cnf(cls_Set_OIntE_1,axiom,+ ( ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)+ | c_in(V_c,V_A,T_a) )).++cnf(cls_Set_OIntI_0,axiom,+ ( ~ c_in(V_c,V_B,T_a)+ | ~ c_in(V_c,V_A,T_a)+ | c_in(V_c,c_inter(V_A,V_B,T_a),T_a) )).++cnf(cls_Set_OInterD_0,axiom,+ ( ~ c_in(V_X,V_C,tc_set(T_a))+ | ~ c_in(V_A,c_Inter(V_C,T_a),T_a)+ | c_in(V_A,V_X,T_a) )).++cnf(cls_Set_OPow__iff__iff1_0,axiom,+ ( ~ c_in(V_A,c_Pow(V_B,T_a),tc_set(T_a))+ | c_lessequals(V_A,V_B,tc_set(T_a)) )).++cnf(cls_Set_OPow__iff__iff2_0,axiom,+ ( ~ c_lessequals(V_A,V_B,tc_set(T_a))+ | c_in(V_A,c_Pow(V_B,T_a),tc_set(T_a)) )).++cnf(cls_Set_OUNIV__not__empty__iff1_0,axiom,+ ( c_UNIV != c_emptyset )).++cnf(cls_Set_OUnCI_0,axiom,+ ( ~ c_in(V_c,V_B,T_a)+ | c_in(V_c,c_union(V_A,V_B,T_a),T_a) )).++cnf(cls_Set_OUnCI_1,axiom,+ ( ~ c_in(V_c,V_A,T_a)+ | c_in(V_c,c_union(V_A,V_B,T_a),T_a) )).++cnf(cls_Set_OUnE_0,axiom,+ ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)+ | c_in(V_c,V_B,T_a)+ | c_in(V_c,V_A,T_a) )).++cnf(cls_Set_OUn__empty__iff1_0,axiom,+ ( c_union(V_A,V_B,T_a) != c_emptyset+ | V_A = c_emptyset )).++cnf(cls_Set_OUn__empty__iff1_1,axiom,+ ( c_union(V_A,V_B,T_a) != c_emptyset+ | V_B = c_emptyset )).++cnf(cls_Set_OUn__empty__iff2_0,axiom,+ ( c_union(c_emptyset,c_emptyset,T_a) = c_emptyset )).++cnf(cls_Set_OUnionI_0,axiom,+ ( ~ c_in(V_A,V_X,T_a)+ | ~ c_in(V_X,V_C,tc_set(T_a))+ | c_in(V_A,c_Union(V_C,T_a),T_a) )).++cnf(cls_Set_OemptyE_0,axiom,+ ( ~ c_in(V_a,c_emptyset,T_a) )).++cnf(cls_Set_OinsertCI_0,axiom,+ ( ~ c_in(V_a,V_B,T_a)+ | c_in(V_a,c_insert(V_b,V_B,T_a),T_a) )).++cnf(cls_Set_OinsertCI_1,axiom,+ ( c_in(V_x,c_insert(V_x,V_B,T_a),T_a) )).++cnf(cls_Set_OinsertE_0,axiom,+ ( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)+ | c_in(V_a,V_A,T_a)+ | V_a = V_b )).++cnf(cls_Set_Onot__psubset__empty__iff1_0,axiom,+ ( ~ c_less(V_A,c_emptyset,tc_set(T_a)) )).++cnf(cls_Set_Osingleton__insert__inj__eq_H__iff1_0,axiom,+ ( c_insert(V_a,V_A,T_a) != c_insert(V_b,c_emptyset,T_a)+ | V_a = V_b )).++cnf(cls_Set_Osingleton__insert__inj__eq_H__iff1_1,axiom,+ ( c_insert(V_a,V_A,T_a) != c_insert(V_b,c_emptyset,T_a)+ | c_lessequals(V_A,c_insert(V_b,c_emptyset,T_a),tc_set(T_a)) )).++cnf(cls_Set_Osingleton__insert__inj__eq_H__iff2_0,axiom,+ ( ~ c_lessequals(V_A,c_insert(V_x,c_emptyset,T_a),tc_set(T_a))+ | c_insert(V_x,V_A,T_a) = c_insert(V_x,c_emptyset,T_a) )).++cnf(cls_Set_Osingleton__insert__inj__eq__iff1_0,axiom,+ ( c_insert(V_b,c_emptyset,T_a) != c_insert(V_a,V_A,T_a)+ | V_a = V_b )).++cnf(cls_Set_Osingleton__insert__inj__eq__iff1_1,axiom,+ ( c_insert(V_b,c_emptyset,T_a) != c_insert(V_a,V_A,T_a)+ | c_lessequals(V_A,c_insert(V_b,c_emptyset,T_a),tc_set(T_a)) )).++cnf(cls_Set_Osingleton__insert__inj__eq__iff2_0,axiom,+ ( ~ c_lessequals(V_A,c_insert(V_x,c_emptyset,T_a),tc_set(T_a))+ | c_insert(V_x,c_emptyset,T_a) = c_insert(V_x,V_A,T_a) )).++cnf(cls_Sum__Type_OInl__eq__iff1_0,axiom,+ ( c_Sum__Type_OInl(V_x,T_a,T_b) != c_Sum__Type_OInl(V_y,T_a,T_b)+ | V_x = V_y )).++cnf(cls_Sum__Type_OInl__not__Inr__iff1_0,axiom,+ ( c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a) )).++cnf(cls_Sum__Type_OInr__eq__iff1_0,axiom,+ ( c_Sum__Type_OInr(V_x,T_b,T_a) != c_Sum__Type_OInr(V_y,T_b,T_a)+ | V_x = V_y )).++cnf(cls_Sum__Type_OInr__not__Inl__iff1_0,axiom,+ ( c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b) )).++cnf(cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0,axiom,+ ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a)+ | c_Wellfounded__Recursion_Oacyclic(V_r,T_a) )).++cnf(cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0,axiom,+ ( ~ c_Wellfounded__Recursion_Oacyclic(V_r,T_a)+ | c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) )).++cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0,axiom,+ ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | c_Wellfounded__Recursion_Oacyclic(V_r,T_a) )).++cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1,axiom,+ ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0,axiom,+ ( ~ c_Wellfounded__Recursion_Oacyclic(V_r,T_a)+ | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Wellfounded__Recursion_Owf__insert__iff1_0,axiom,+ ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | c_Wellfounded__Recursion_Owf(V_r,T_a) )).++cnf(cls_Wellfounded__Recursion_Owf__insert__iff1_1,axiom,+ ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Wellfounded__Recursion_Owf__insert__iff2_0,axiom,+ ( ~ c_Wellfounded__Recursion_Owf(V_r,T_a)+ | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)+ | c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) )).++cnf(cls_Wellfounded__Relations_Oless__than__iff__iff1_0,axiom,+ ( ~ c_in(c_Pair(V_x,V_y,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))+ | c_less(V_x,V_y,tc_nat) )).++cnf(cls_Wellfounded__Relations_Oless__than__iff__iff2_0,axiom,+ ( ~ c_less(V_x,V_y,tc_nat)+ | c_in(c_Pair(V_x,V_y,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/NUM001-0.ax view
@@ -0,0 +1,45 @@+%--------------------------------------------------------------------------+% File : NUM001-0 : TPTP v7.2.0. Bugfixed v4.0.0.+% Domain : Number Theory+% Axioms : Number theory axioms+% Version : [LS74] axioms : Incomplete.+% English :++% Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol+% Source : [SPRFN]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 0 non-Horn; 4 unit; 2 RR)+% Number of atoms : 8 ( 0 equality)+% Maximal clause size : 2 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 4 ( 1 constant; 0-2 arity)+% Number of variables : 10 ( 1 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+% Bugfixes : v4.0.0 - Duplicate successor_equality1 removed.+%--------------------------------------------------------------------------+cnf(adding_zero,axiom,+ ( equalish(add(A,n0),A) )).++cnf(addition,axiom,+ ( equalish(add(A,successor(B)),successor(add(A,B))) )).++cnf(times_zero,axiom,+ ( equalish(multiply(A,n0),n0) )).++cnf(times,axiom,+ ( equalish(multiply(A,successor(B)),add(multiply(A,B),A)) )).++cnf(successor_equality1,axiom,+ ( ~ equalish(successor(A),successor(B))+ | equalish(A,B) )).++cnf(successor_substitution,axiom,+ ( ~ equalish(A,B)+ | equalish(successor(A),successor(B)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/NUM001-1.ax view
@@ -0,0 +1,37 @@+%--------------------------------------------------------------------------+% File : NUM001-1 : TPTP v7.2.0. Released v1.0.0.+% Domain : Number Theory+% Axioms : Number theory less axioms+% Version : [LS74] axioms.+% English :++% Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol+% Source : [SPRFN]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 3 ( 0 non-Horn; 0 unit; 3 RR)+% Number of atoms : 7 ( 0 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 3 ( 0 constant; 1-2 arity)+% Number of variables : 8 ( 1 singleton)+% Maximal term depth : 4 ( 1 average)+% SPC : ++% Comments : Requires NUM001-0.ax+%--------------------------------------------------------------------------+cnf(transitivity_of_less,axiom,+ ( ~ less(A,B)+ | ~ less(C,A)+ | less(C,B) )).++cnf(smaller_number,axiom,+ ( ~ equalish(add(successor(A),B),C)+ | less(B,C) )).++cnf(less_lemma,axiom,+ ( ~ less(A,B)+ | equalish(add(successor(predecessor_of_1st_minus_2nd(B,A)),A),B) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/NUM001-2.ax view
@@ -0,0 +1,37 @@+%--------------------------------------------------------------------------+% File : NUM001-2 : TPTP v7.2.0. Released v1.0.0.+% Domain : Number Theory+% Axioms : Number theory div axioms+% Version : [LS74] axioms.+% English :++% Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol+% Source : [SPRFN]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 3 ( 1 non-Horn; 0 unit; 3 RR)+% Number of atoms : 7 ( 0 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 3 ( 0 propositional; 2-2 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 6 ( 0 singleton)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires NUM001-0.ax NUM001-1.ax+%--------------------------------------------------------------------------+cnf(divides_only_less_or_equal,axiom,+ ( ~ divides(A,B)+ | less(A,B)+ | equalish(A,B) )).++cnf(divides_if_less,axiom,+ ( ~ less(A,B)+ | divides(A,B) )).++cnf(divides_if_equal,axiom,+ ( ~ equalish(A,B)+ | divides(A,B) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/NUM002-0.ax view
@@ -0,0 +1,70 @@+%--------------------------------------------------------------------------+% File : NUM002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Number theory+% Axioms : Number theory (equality) axioms+% Version : [LS74] (equality) axioms : Biased.+% English :++% Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol+% Source : [SPRFN]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 12 ( 0 non-Horn; 7 unit; 5 RR)+% Number of atoms : 22 ( 0 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 2 ( 0 constant; 2-2 arity)+% Number of variables : 35 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+cnf(reflexivity,axiom,+ ( equalish(A,A) )).++cnf(transitivity,axiom,+ ( ~ equalish(A,B)+ | ~ equalish(B,C)+ | equalish(A,C) )).++cnf(commutativity_of_addition,axiom,+ ( equalish(add(A,B),add(B,A)) )).++cnf(associativity_of_addition,axiom,+ ( equalish(add(A,add(B,C)),add(add(A,B),C)) )).++cnf(addition_inverts_subtraction1,axiom,+ ( equalish(subtract(add(A,B),B),A) )).++cnf(addition_inverts_subtraction2,axiom,+ ( equalish(A,subtract(add(A,B),B)) )).++cnf(commutativity1,axiom,+ ( equalish(add(subtract(A,B),C),subtract(add(A,C),B)) )).++cnf(commutativity2,axiom,+ ( equalish(subtract(add(A,B),C),add(subtract(A,C),B)) )).++cnf(add_substitution1,axiom,+ ( ~ equalish(A,B)+ | ~ equalish(C,add(A,D))+ | equalish(C,add(B,D)) )).++cnf(add_substitution2,axiom,+ ( ~ equalish(A,B)+ | ~ equalish(C,add(D,A))+ | equalish(C,add(D,B)) )).++cnf(subtract_substitution1,axiom,+ ( ~ equalish(A,B)+ | ~ equalish(C,subtract(A,D))+ | equalish(C,subtract(B,D)) )).++cnf(subtract_substitution2,axiom,+ ( ~ equalish(A,B)+ | ~ equalish(C,subtract(D,A))+ | equalish(C,subtract(D,B)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/NUM003-0.ax view
@@ -0,0 +1,356 @@+%--------------------------------------------------------------------------+% File : NUM003-0 : TPTP v7.2.0. Bugfixed v1.2.1.+% Domain : Number Theory+% Axioms : Number theory axioms, based on Godel set theory+% Version : [BL+86] axioms.+% English :++% Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:+% : [McC92] McCune (1992), Email to G. Sutcliffe+% Source : [McC92]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 54 ( 32 non-Horn; 0 unit; 54 RR)+% Number of atoms : 215 ( 16 equality)+% Maximal clause size : 7 ( 4 average)+% Number of predicates : 6 ( 0 propositional; 1-3 arity)+% Number of functors : 29 ( 7 constant; 0-3 arity)+% Number of variables : 90 ( 0 singleton)+% Maximal term depth : 5 ( 1 average)+% SPC : ++% Comments : Requires SET003-0.ax ALG001-0.ax+% Bugfixes : v1.2.1 - Clauses finite3 and finite5 fixed.+%--------------------------------------------------------------------------+%----Definition of natural_numbers (natural numbers)+cnf(natural_numbers1,axiom,+ ( ~ member(Z,natural_numbers)+ | ~ little_set(Xs)+ | ~ member(empty_set,Xs)+ | member(f43(Z,Xs),Xs)+ | member(Z,Xs) )).++cnf(natural_numbers2,axiom,+ ( ~ member(Z,natural_numbers)+ | ~ little_set(Xs)+ | ~ member(empty_set,Xs)+ | ~ member(successor(f43(Z,Xs)),Xs)+ | member(Z,Xs) )).++cnf(natural_numbers3,axiom,+ ( member(Z,natural_numbers)+ | ~ little_set(Z)+ | little_set(f44(Z)) )).++cnf(natural_numbers4,axiom,+ ( member(Z,natural_numbers)+ | ~ little_set(Z)+ | member(empty_set,f44(Z)) )).++cnf(natural_numbers5,axiom,+ ( member(Z,natural_numbers)+ | ~ little_set(Z)+ | ~ member(Xk,f44(Z))+ | member(successor(Xk),f44(Z)) )).++cnf(natural_numbers6,axiom,+ ( member(Z,natural_numbers)+ | ~ member(Z,f44(Z)) )).++%----Definition of plus+cnf(plus1,axiom,+ ( ~ member(Z,plus)+ | ~ little_set(Xs)+ | member(f45(Z,Xs),natural_numbers)+ | member(f46(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(plus2,axiom,+ ( ~ member(Z,plus)+ | ~ little_set(Xs)+ | member(f45(Z,Xs),natural_numbers)+ | member(f47(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(plus3,axiom,+ ( ~ member(Z,plus)+ | ~ little_set(Xs)+ | member(f45(Z,Xs),natural_numbers)+ | member(f48(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(plus4,axiom,+ ( ~ member(Z,plus)+ | ~ little_set(Xs)+ | member(f45(Z,Xs),natural_numbers)+ | member(ordered_pair(ordered_pair(f46(Z,Xs),f47(Z,Xs)),f48(Z,Xs)),Xs)+ | member(Z,Xs) )).++cnf(plus5,axiom,+ ( ~ member(Z,plus)+ | ~ little_set(Xs)+ | member(f45(Z,Xs),natural_numbers)+ | ~ member(ordered_pair(ordered_pair(successor(f46(Z,Xs)),f47(Z,Xs)),successor(f48(Z,Xs))),Xs)+ | member(Z,Xs) )).++cnf(plus6,axiom,+ ( ~ member(Z,plus)+ | ~ little_set(Xs)+ | ~ member(ordered_pair(ordered_pair(empty_set,f45(Z,Xs)),f45(Z,Xs)),Xs)+ | member(f46(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(plus7,axiom,+ ( ~ member(Z,plus)+ | ~ little_set(Xs)+ | ~ member(ordered_pair(ordered_pair(empty_set,f45(Z,Xs)),f45(Z,Xs)),Xs)+ | member(f47(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(plus8,axiom,+ ( ~ member(Z,plus)+ | ~ little_set(Xs)+ | ~ member(ordered_pair(ordered_pair(empty_set,f45(Z,Xs)),f45(Z,Xs)),Xs)+ | member(f48(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(plus9,axiom,+ ( ~ member(Z,plus)+ | ~ little_set(Xs)+ | ~ member(ordered_pair(ordered_pair(empty_set,f45(Z,Xs)),f45(Z,Xs)),Xs)+ | member(ordered_pair(ordered_pair(f46(Z,Xs),f47(Z,Xs)),f48(Z,Xs)),Xs)+ | member(Z,Xs) )).++cnf(plus10,axiom,+ ( ~ member(Z,plus)+ | ~ little_set(Xs)+ | ~ member(ordered_pair(ordered_pair(empty_set,f45(Z,Xs)),f45(Z,Xs)),Xs)+ | ~ member(ordered_pair(ordered_pair(successor(f46(Z,Xs)),f47(Z,Xs)),successor(f48(Z,Xs))),Xs)+ | member(Z,Xs) )).++cnf(plus11,axiom,+ ( member(Z,plus)+ | ~ little_set(Z)+ | little_set(f49(Z)) )).++cnf(plus12,axiom,+ ( member(Z,plus)+ | ~ little_set(Z)+ | ~ member(Xi,natural_numbers)+ | member(ordered_pair(ordered_pair(empty_set,Xi),Xi),f49(Z)) )).++cnf(plus13,axiom,+ ( member(Z,plus)+ | ~ little_set(Z)+ | ~ member(Uu1,natural_numbers)+ | ~ member(Xj,natural_numbers)+ | ~ member(Xk,natural_numbers)+ | ~ member(ordered_pair(ordered_pair(Uu1,Xj),Xk),f49(Z))+ | member(ordered_pair(ordered_pair(successor(Uu1),Xj),successor(Xk)),f49(Z)) )).++cnf(plus14,axiom,+ ( member(Z,plus)+ | ~ member(Z,f49(Z)) )).++%----Definition of times+cnf(times1,axiom,+ ( ~ member(Z,times)+ | ~ little_set(Xs)+ | member(f50(Z,Xs),natural_numbers)+ | member(f51(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(times2,axiom,+ ( ~ member(Z,times)+ | ~ little_set(Xs)+ | member(f50(Z,Xs),natural_numbers)+ | member(f52(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(times3,axiom,+ ( ~ member(Z,times)+ | ~ little_set(Xs)+ | member(f50(Z,Xs),natural_numbers)+ | member(f53(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(times4,axiom,+ ( ~ member(Z,times)+ | ~ little_set(Xs)+ | member(f50(Z,Xs),natural_numbers)+ | member(ordered_pair(ordered_pair(f51(Z,Xs),f52(Z,Xs)),f53(Z,Xs)),Xs)+ | member(Z,Xs) )).++cnf(times5,axiom,+ ( ~ member(Z,times)+ | ~ little_set(Xs)+ | member(f50(Z,Xs),natural_numbers)+ | ~ member(ordered_pair(ordered_pair(successor(f51(Z,Xs)),f52(Z,Xs)),apply_to_two_arguments(plus,f53(Z,Xs),f52(Z,Xs))),Xs)+ | member(Z,Xs) )).++cnf(times6,axiom,+ ( ~ member(Z,times)+ | ~ little_set(Xs)+ | ~ member(ordered_pair(ordered_pair(empty_set,f50(Z,Xs)),empty_set),Xs)+ | member(f51(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(times7,axiom,+ ( ~ member(Z,times)+ | ~ little_set(Xs)+ | ~ member(ordered_pair(ordered_pair(empty_set,f50(Z,Xs)),empty_set),Xs)+ | member(f52(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(times8,axiom,+ ( ~ member(Z,times)+ | ~ little_set(Xs)+ | ~ member(ordered_pair(ordered_pair(empty_set,f50(Z,Xs)),empty_set),Xs)+ | member(f53(Z,Xs),natural_numbers)+ | member(Z,Xs) )).++cnf(times9,axiom,+ ( ~ member(Z,times)+ | ~ little_set(Xs)+ | ~ member(ordered_pair(ordered_pair(empty_set,f50(Z,Xs)),empty_set),Xs)+ | member(ordered_pair(ordered_pair(f51(Z,Xs),f52(Z,Xs)),f53(Z,Xs)),Xs)+ | member(Z,Xs) )).++cnf(times10,axiom,+ ( ~ member(Z,times)+ | ~ little_set(Xs)+ | ~ member(ordered_pair(ordered_pair(empty_set,f50(Z,Xs)),empty_set),Xs)+ | ~ member(ordered_pair(ordered_pair(successor(f51(Z,Xs)),f52(Z,Xs)),apply_to_two_arguments(plus,f53(Z,Xs),f52(Z,Xs))),Xs)+ | member(Z,Xs) )).++cnf(times11,axiom,+ ( member(Z,times)+ | ~ little_set(Z)+ | little_set(f54(Z)) )).++cnf(times12,axiom,+ ( member(Z,times)+ | ~ little_set(Z)+ | ~ member(Xi,natural_numbers)+ | member(ordered_pair(ordered_pair(empty_set,Xi),empty_set),f54(Z)) )).++cnf(times13,axiom,+ ( member(Z,times)+ | ~ little_set(Z)+ | ~ member(Uu2,natural_numbers)+ | ~ member(Xj,natural_numbers)+ | ~ member(Xk,natural_numbers)+ | ~ member(ordered_pair(ordered_pair(Uu2,Xj),Xk),f54(Z))+ | member(ordered_pair(ordered_pair(successor(Uu2),Xj),apply_to_two_arguments(plus,Xk,Xj)),f54(Z)) )).++cnf(times14,axiom,+ ( member(Z,times)+ | ~ member(Z,f54(Z)) )).++%----Definition of prime_numbers+cnf(prime_numbers1,axiom,+ ( ~ member(Z,prime_numbers)+ | member(Z,natural_numbers) )).++cnf(prime_numbers2,axiom,+ ( ~ member(Z,prime_numbers)+ | Z != empty_set )).++cnf(prime_numbers3,axiom,+ ( ~ member(Z,prime_numbers)+ | Z != successor(empty_set) )).++cnf(prime_numbers4,axiom,+ ( ~ member(Z,prime_numbers)+ | ~ member(U,natural_numbers)+ | ~ member(V,natural_numbers)+ | apply_to_two_arguments(times,U,V) != Z+ | member(U,non_ordered_pair(successor(empty_set),Z)) )).++cnf(prime_numbers5,axiom,+ ( member(Z,prime_numbers)+ | ~ member(Z,natural_numbers)+ | Z = empty_set+ | Z = successor(empty_set)+ | member(f55(Z),natural_numbers) )).++cnf(prime_numbers6,axiom,+ ( member(Z,prime_numbers)+ | ~ member(Z,natural_numbers)+ | Z = empty_set+ | Z = successor(empty_set)+ | member(f56(Z),natural_numbers) )).++cnf(prime_numbers7,axiom,+ ( member(Z,prime_numbers)+ | ~ member(Z,natural_numbers)+ | Z = empty_set+ | Z = successor(empty_set)+ | apply_to_two_arguments(times,f55(Z),f56(Z)) = Z )).++cnf(prime_numbers8,axiom,+ ( member(Z,prime_numbers)+ | ~ member(Z,natural_numbers)+ | Z = empty_set+ | Z = successor(empty_set)+ | ~ member(f55(Z),non_ordered_pair(successor(empty_set),Z)) )).++%----Definition of finite+cnf(finite1,axiom,+ ( ~ finite(X)+ | member(f57(X),natural_numbers) )).++cnf(finite2,axiom,+ ( ~ finite(X)+ | maps(f58(X),f57(X),X) )).++cnf(finite3,axiom,+ ( ~ finite(X)+ | range_of(f58(X)) = X )).++cnf(finite4,axiom,+ ( ~ finite(X)+ | one_to_one_function(f58(X)) )).++cnf(finite5,axiom,+ ( finite(X)+ | ~ member(Xn,natural_numbers)+ | ~ maps(Xf,Xn,X)+ | range_of(Xf) != X+ | ~ one_to_one_function(Xf) )).++%----Definition of twin prime_numbers+cnf(twin_primes1,axiom,+ ( ~ member(Z,twin_prime_numbers)+ | member(Z,prime_numbers) )).++cnf(twin_primes2,axiom,+ ( ~ member(Z,twin_prime_numbers)+ | member(successor(successor(Z)),prime_numbers) )).++cnf(twin_primes3,axiom,+ ( member(Z,twin_prime_numbers)+ | ~ member(Z,prime_numbers)+ | ~ member(successor(successor(Z)),prime_numbers) )).++%----Definition of even_numbers (even natural numbers)+cnf(even_numbers1,axiom,+ ( ~ member(Z,even_numbers)+ | member(Z,natural_numbers) )).++cnf(even_numbers2,axiom,+ ( ~ member(Z,even_numbers)+ | member(f59(Z),natural_numbers) )).++cnf(even_numbers3,axiom,+ ( ~ member(Z,even_numbers)+ | apply_to_two_arguments(plus,f59(Z),f59(Z)) = Z )).++cnf(even_numbers4,axiom,+ ( member(Z,even_numbers)+ | ~ member(Z,natural_numbers)+ | ~ member(X,natural_numbers)+ | apply_to_two_arguments(plus,X,X) != Z )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/NUM004-0.ax view
@@ -0,0 +1,284 @@+%--------------------------------------------------------------------------+% File : NUM004-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Number Theory (Ordinals)+% Axioms : Number theory (ordinals) axioms, based on NBG set theory+% Version : [Qua92] axioms.+% English :++% Refs : [Qua92] Quaife (1992), Email to G. Sutcliffe+% Source : [Qua92]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 46 ( 4 non-Horn; 9 unit; 40 RR)+% Number of atoms : 104 ( 22 equality)+% Maximal clause size : 5 ( 2 average)+% Number of predicates : 10 ( 0 propositional; 1-3 arity)+% Number of functors : 36 ( 12 constant; 0-3 arity)+% Number of variables : 89 ( 8 singleton)+% Maximal term depth : 4 ( 1 average)+% SPC : ++% Comments : Requires SET004-0.ax SET004-1.ax+%--------------------------------------------------------------------------+%----Definition of symmetrization of a class.+cnf(symmetrization,axiom,+ ( union(X,inverse(X)) = symmetrization_of(X) )).++%----could define (irreflexive(x) = (x * ~(identity_relation))).+cnf(irreflexive1,axiom,+ ( ~ irreflexive(X,Y)+ | subclass(restrict(X,Y,Y),complement(identity_relation)) )).++cnf(irreflexive2,axiom,+ ( ~ subclass(restrict(X,Y,Y),complement(identity_relation))+ | irreflexive(X,Y) )).++%----Definition of connected.+cnf(connected1,axiom,+ ( ~ connected(X,Y)+ | subclass(cross_product(Y,Y),union(identity_relation,symmetrization_of(X))) )).++cnf(connected2,axiom,+ ( ~ subclass(cross_product(Y,Y),union(identity_relation,symmetrization_of(X)))+ | connected(X,Y) )).++%----Definition of transitive.+%----T(x) <--> ((x ^ x) < x).+cnf(transitive1,axiom,+ ( ~ transitive(Xr,Y)+ | subclass(compose(restrict(Xr,Y,Y),restrict(Xr,Y,Y)),restrict(Xr,Y,Y)) )).++cnf(transitive2,axiom,+ ( ~ subclass(compose(restrict(Xr,Y,Y),restrict(Xr,Y,Y)),restrict(Xr,Y,Y))+ | transitive(Xr,Y) )).++%----or:+%----transitive(x,y) --> (x < cross_product(V,V)).+%----transitive(x,y) --> ((restrict(x,y,y) ^ restrict(x,y,y)) < x).+%----((restrict(x,y,y) ^ restrict(x,y,y)) < x), (x < cross_product(V,V))+%---- --> transitive(x,y).++%----Definition of asymmetric.+%----asymmetric(x) <--> ((x * inverse(x)) = null_class).+cnf(asymmetric1,axiom,+ ( ~ asymmetric(Xr,Y)+ | restrict(intersection(Xr,inverse(Xr)),Y,Y) = null_class )).++cnf(asymmetric2,axiom,+ ( restrict(intersection(Xr,inverse(Xr)),Y,Y) != null_class+ | asymmetric(Xr,Y) )).++%----Definition of minimal element.+%----minimum(x,y,z) --> (z e y).+%----minimum(x,y,z) --> (restrict(x,y,{z}) = null_class).+%----(restrict(x,y,{z}) = null_class), (z e y) --> minimum(x,y,z).++%----Definition of segment.+%----If this is useful enough to define, should use it in definition+%----of WE. --> (segment(xr,y,z) = (y * (inverse(xr) image {z}))).+cnf(segment,axiom,+ ( segment(Xr,Y,Z) = domain_of(restrict(Xr,Y,singleton(Z))) )).++%----Definition of well ordering.+cnf(well_ordering1,axiom,+ ( ~ well_ordering(X,Y)+ | connected(X,Y) )).++cnf(well_ordering2,axiom,+ ( ~ well_ordering(Xr,Y)+ | ~ subclass(U,Y)+ | U = null_class+ | member(least(Xr,U),U) )).++cnf(well_ordering3,axiom,+ ( ~ well_ordering(Xr,Y)+ | ~ subclass(U,Y)+ | ~ member(V,U)+ | member(least(Xr,U),U) )).++cnf(well_ordering4,axiom,+ ( ~ well_ordering(Xr,Y)+ | ~ subclass(U,Y)+ | segment(Xr,U,least(Xr,U)) = null_class )).++cnf(well_ordering5,axiom,+ ( ~ well_ordering(Xr,Y)+ | ~ subclass(U,Y)+ | ~ member(V,U)+ | ~ member(ordered_pair(V,least(Xr,U)),Xr) )).++cnf(well_ordering6,axiom,+ ( ~ connected(Xr,Y)+ | not_well_ordering(Xr,Y) != null_class+ | well_ordering(Xr,Y) )).++cnf(well_ordering7,axiom,+ ( ~ connected(Xr,Y)+ | subclass(not_well_ordering(Xr,Y),Y)+ | well_ordering(Xr,Y) )).++cnf(well_ordering8,axiom,+ ( ~ member(V,not_well_ordering(Xr,Y))+ | segment(Xr,not_well_ordering(Xr,Y),V) != null_class+ | ~ connected(Xr,Y)+ | well_ordering(Xr,Y) )).++%----Definition of section.+cnf(section1,axiom,+ ( ~ section(Xr,Y,Z)+ | subclass(Y,Z) )).++cnf(section2,axiom,+ ( ~ section(Xr,Y,Z)+ | subclass(domain_of(restrict(Xr,Z,Y)),Y) )).++%----section(xr,y,z) --> (restrict(xr,z,y) < cross_product(y,y)).+%----section(xr,y,z) --> ((z * (inverse(xr) image y)) < y).++cnf(section3,axiom,+ ( ~ subclass(Y,Z)+ | ~ subclass(domain_of(restrict(Xr,Z,Y)),Y)+ | section(Xr,Y,Z) )).++%----Definition of ordinal class.+%----Use (ORD15) to eliminate ordinal_class(x).+%----ordinal_class(x) --> well_ordering(element_relation,x).+%----ordinal_class(x) --> (sum_class(x) < x).+%----well_ordering(element_relation,x), (sum_class(x) < x) -->+%----ordinal_class(x).++%----Definition of ordinal_numbers by Class Existence Theorem.+%----(x e ordinal_numbers) --> ordinal_class(x).+%----(x e V), ordinal_class(x) --> (x e ordinal_numbers).+cnf(ordinal_numbers1,axiom,+ ( ~ member(X,ordinal_numbers)+ | well_ordering(element_relation,X) )).++cnf(ordinal_numbers2,axiom,+ ( ~ member(X,ordinal_numbers)+ | subclass(sum_class(X),X) )).++cnf(ordinal_numbers3,axiom,+ ( ~ well_ordering(element_relation,X)+ | ~ subclass(sum_class(X),X)+ | ~ member(X,universal_class)+ | member(X,ordinal_numbers) )).++cnf(ordinal_numbers4,axiom,+ ( ~ well_ordering(element_relation,X)+ | ~ subclass(sum_class(X),X)+ | member(X,ordinal_numbers)+ | X = ordinal_numbers )).++%----(SUCDEF8) Definition of kind_1_ordinals.+cnf(kind_1_ordinals,axiom,+ ( union(singleton(null_class),image(successor_relation,ordinal_numbers)) = kind_1_ordinals )).++%----(LIMDEF1): definition of limit ordinal.+cnf(limit_ordinals,axiom,+ ( intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals )).++%----(TRECDEF1): definition of rest_of by class existence theorem.+%----rest_of(x) ' u = {[u,w] e x : w e V}.+cnf(rest_of1,axiom,+ ( subclass(rest_of(X),cross_product(universal_class,universal_class)) )).++cnf(rest_of2,axiom,+ ( ~ member(ordered_pair(U,V),rest_of(X))+ | member(U,domain_of(X)) )).++cnf(rest_of3,axiom,+ ( ~ member(ordered_pair(U,V),rest_of(X))+ | restrict(X,U,universal_class) = V )).++cnf(rest_of4,axiom,+ ( ~ member(U,domain_of(X))+ | restrict(X,U,universal_class) != V+ | member(ordered_pair(U,V),rest_of(X)) )).++%----(TRECDEF3.8): definition of rest_relation.+cnf(rest_relation1,axiom,+ ( subclass(rest_relation,cross_product(universal_class,universal_class)) )).++cnf(rest_relation2,axiom,+ ( ~ member(ordered_pair(X,Y),rest_relation)+ | rest_of(X) = Y )).++cnf(rest_relation3,axiom,+ ( ~ member(X,universal_class)+ | member(ordered_pair(X,rest_of(X)),rest_relation) )).++%----(TRECDEF4): Definition of Fn = recursion_equation_functions.+%----If z is being used to define a function by transfinite recursion,+%----then Fn(z) is the class of all partial functions that satisfy the+%----recursion equation, for as far out into the ordinals as they are+%----defined. So THE function defined by z is U Fn(z).+cnf(recursion_equation_functions1,axiom,+ ( ~ member(X,recursion_equation_functions(Z))+ | function(Z) )).++cnf(recursion_equation_functions2,axiom,+ ( ~ member(X,recursion_equation_functions(Z))+ | function(X) )).++cnf(recursion_equation_functions3,axiom,+ ( ~ member(X,recursion_equation_functions(Z))+ | member(domain_of(X),ordinal_numbers) )).++cnf(recursion_equation_functions4,axiom,+ ( ~ member(X,recursion_equation_functions(Z))+ | compose(Z,rest_of(X)) = X )).++cnf(recursion_equation_functions5,axiom,+ ( ~ function(Z)+ | ~ function(X)+ | ~ member(domain_of(X),ordinal_numbers)+ | compose(Z,rest_of(X)) != X+ | member(X,recursion_equation_functions(Z)) )).++%----(OADEF1): definition of union_of_range_map.+%----Quaife says URAN is the function which maps x into+%----union(range_of(x)).+cnf(union_of_range_map1,axiom,+ ( subclass(union_of_range_map,cross_product(universal_class,universal_class)) )).++cnf(union_of_range_map2,axiom,+ ( ~ member(ordered_pair(X,Y),union_of_range_map)+ | sum_class(range_of(X)) = Y )).++cnf(union_of_range_map3,axiom,+ ( ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))+ | sum_class(range_of(X)) != Y+ | member(ordered_pair(X,Y),union_of_range_map) )).++%----(OADEF2): definition of ordinal addition.+cnf(ordinal_addition,axiom,+ ( apply(recursion(X,successor_relation,union_of_range_map),Y) = ordinal_add(X,Y) )).++%----(OADEF3): definition of twisted plus.+%------> (add_relation < cross_product(ordinal_numbers,cross_product(+%---- ordinal_numbers,ordinal_numbers))).+%----([x,[y,z]] e add_relation) --> (ordinal_add(y,x) = z).+%---- ([y,x] e cross_product(ordinal_numbers,ordinal_numbers)) -->+%---- ([x,[y,ordinal_add(x,y)]] e add_relation).++%----(OMDEF1): definition of ordinal multiplication.+cnf(ordinal_multiplication,axiom,+ ( recursion(null_class,apply(add_relation,X),union_of_range_map) = ordinal_multiply(X,Y) )).++%----(IADEF1): integer function.+cnf(integer_function1,axiom,+ ( ~ member(X,omega)+ | integer_of(X) = X )).++cnf(integer_function2,axiom,+ ( member(X,omega)+ | integer_of(X) = null_class )).++%----(IADEF2): integer addition.+%------> (ordinal_add(integer_of(y),integer_of(x)) = (x + y)).++%----(IADEF3): integer multiplication.+%------> (ordinal_multiply(integer_of(y),integer_of(x)) = (x * y)).+%--------------------------------------------------------------------------
+ test-data/tptp/cnf/PLA001-0.ax view
@@ -0,0 +1,77 @@+%--------------------------------------------------------------------------+% File : PLA001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Planning (Blocks world)+% Axioms : Blocks world axioms+% Version : [SE94] axioms.+% English :++% Refs : [Sus73] Sussman (1973), A Computational Model of Skill Acquisi+% : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B+% Source : [SE94]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 10 ( 0 non-Horn; 0 unit; 8 RR)+% Number of atoms : 31 ( 0 equality)+% Maximal clause size : 4 ( 3 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 9 ( 2 constant; 0-2 arity)+% Number of variables : 33 ( 3 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : The axioms are a reconstruction of the situation calculus+% blocks world as in [Sus73].+%--------------------------------------------------------------------------+cnf(and_definition,axiom,+ ( holds(and(X,Y),State)+ | ~ holds(X,State)+ | ~ holds(Y,State) )).++cnf(pickup_1,axiom,+ ( holds(holding(X),do(pickup(X),State))+ | ~ holds(empty,State)+ | ~ holds(clear(X),State)+ | ~ differ(X,table) )).++cnf(pickup_2,axiom,+ ( holds(clear(Y),do(pickup(X),State))+ | ~ holds(on(X,Y),State)+ | ~ holds(clear(X),State)+ | ~ holds(empty,State) )).++cnf(pickup_3,axiom,+ ( holds(on(X,Y),do(pickup(Z),State))+ | ~ holds(on(X,Y),State)+ | ~ differ(X,Z) )).++cnf(pickup_4,axiom,+ ( holds(clear(X),do(pickup(Z),State))+ | ~ holds(clear(X),State)+ | ~ differ(X,Z) )).++cnf(putdown_1,axiom,+ ( holds(empty,do(putdown(X,Y),State))+ | ~ holds(holding(X),State)+ | ~ holds(clear(Y),State) )).++cnf(putdown_2,axiom,+ ( holds(on(X,Y),do(putdown(X,Y),State))+ | ~ holds(holding(X),State)+ | ~ holds(clear(Y),State) )).++cnf(putdown_3,axiom,+ ( holds(clear(X),do(putdown(X,Y),State))+ | ~ holds(holding(X),State)+ | ~ holds(clear(Y),State) )).++cnf(putdown_4,axiom,+ ( holds(on(X,Y),do(putdown(Z,W),State))+ | ~ holds(on(X,Y),State) )).++cnf(putdown_5,axiom,+ ( holds(clear(Z),do(putdown(X,Y),State))+ | ~ holds(clear(Z),State)+ | ~ differ(Z,Y) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/PLA001-1.ax view
@@ -0,0 +1,90 @@+%--------------------------------------------------------------------------+% File : PLA001-1 : TPTP v7.2.0. Released v1.0.0.+% Domain : Planning (Blocks world)+% Axioms : Blocks world difference axioms for 4 blocks+% Version : [SE94] axioms.+% English :++% Refs : [Sus73] Sussman (1973), A Computational Model of Skill Acquisi+% : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B+% Source : [SE94]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 20 ( 0 non-Horn; 19 unit; 19 RR)+% Number of atoms : 21 ( 0 equality)+% Maximal clause size : 2 ( 1 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 9 ( 7 constant; 0-2 arity)+% Number of variables : 3 ( 1 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires PLA001-0.ax+% : The axioms are a reconstruction of the situation calculus+% blocks world as in [Sus73].+%--------------------------------------------------------------------------+cnf(symmetry_of_differ,axiom,+ ( differ(X,Y)+ | ~ differ(Y,X) )).++cnf(differ_a_b,axiom,+ ( differ(a,b) )).++cnf(differ_a_c,axiom,+ ( differ(a,c) )).++cnf(differ_a_d,axiom,+ ( differ(a,d) )).++cnf(differ_a_table,axiom,+ ( differ(a,table) )).++cnf(differ_b_c,axiom,+ ( differ(b,c) )).++cnf(differ_b_d,axiom,+ ( differ(b,d) )).++cnf(differ_b_table,axiom,+ ( differ(b,table) )).++cnf(differ_c_d,axiom,+ ( differ(c,d) )).++cnf(differ_c_table,axiom,+ ( differ(c,table) )).++cnf(differ_d_table,axiom,+ ( differ(d,table) )).++%----Initial configuration+cnf(initial_state1,axiom,+ ( holds(on(a,table),s0) )).++cnf(initial_state2,axiom,+ ( holds(on(b,table),s0) )).++cnf(initial_state3,axiom,+ ( holds(on(c,d),s0) )).++cnf(initial_state4,axiom,+ ( holds(on(d,table),s0) )).++cnf(initial_state5,axiom,+ ( holds(clear(a),s0) )).++cnf(initial_state6,axiom,+ ( holds(clear(b),s0) )).++cnf(initial_state7,axiom,+ ( holds(clear(c),s0) )).++cnf(initial_state8,axiom,+ ( holds(empty,s0) )).++%----Table is always clear+cnf(clear_table,axiom,+ ( holds(clear(table),State) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/PUZ001-0.ax view
@@ -0,0 +1,103 @@+%------------------------------------------------------------------------------+% File : PUZ001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Puzzles (Mars and Venus)+% Axioms : Mars and Venus axioms+% Version :+% English :++% Refs : [Rap95] Raptis (1995), Email to G. Sutcliffe+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 16 ( 4 non-Horn; 0 unit; 12 RR)+% Number of atoms : 39 ( 1 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 9 ( 0 propositional; 1-2 arity)+% Number of functors : 1 ( 0 constant; 1-1 arity)+% Number of variables : 20 ( 1 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : [Rap95] has pointed out that the clause+% statements_are_true_or_not is a tautology. Does your ATP+% system ignore it?+%------------------------------------------------------------------------------+%----Everyone's either from Mars or Venus, male or female, and statements+%----are true or false+cnf(from_mars_or_venus,axiom,+ ( from_mars(X)+ | from_venus(X) )).++cnf(not_from_mars_and_venus,axiom,+ ( ~ from_mars(X)+ | ~ from_venus(X) )).++cnf(male_or_female,axiom,+ ( male(X)+ | female(X) )).++cnf(not_male_and_female,axiom,+ ( ~ male(X)+ | ~ female(X) )).++cnf(truthteller_or_liar,axiom,+ ( truthteller(X)+ | liar(X) )).++cnf(not_truthteller_and_liar,axiom,+ ( ~ truthteller(X)+ | ~ liar(X) )).++%----Rules about statements+cnf(statements_are_true_or_not,axiom,+ ( ~ says(X,Y)+ | a_truth(Y)+ | ~ a_truth(Y) )).++cnf(people_say_their_statements,axiom,+ ( ~ says(X,Y)+ | Y = statement_by(X) )).++cnf(true_statements_made_by_truthtellers,axiom,+ ( ~ a_truth(statement_by(X))+ | truthteller(X) )).++cnf(false_statements_made_by_liars,axiom,+ ( a_truth(statement_by(X))+ | liar(X) )).++%----Who's a liar, who's not+cnf(venusian_female_are_truthtellers,axiom,+ ( ~ from_venus(X)+ | ~ female(X)+ | truthteller(X) )).++cnf(venusian_males_are_liars,axiom,+ ( ~ from_venus(X)+ | ~ male(X)+ | liar(X) )).++cnf(marsian_males_are_truthtellers,axiom,+ ( ~ from_mars(X)+ | ~ male(X)+ | truthteller(X) )).++cnf(marsian_females_are_liars,axiom,+ ( ~ from_mars(X)+ | ~ female(X)+ | liar(X) )).++%----what truthtellers say is true, what liars say is false, what+%----truthtellers say is true, what liars say is false+cnf(truthtellers_make_true_statements,axiom,+ ( ~ truthteller(X)+ | ~ says(X,Y)+ | a_truth(Y) )).++cnf(liars_make_false_statements,axiom,+ ( ~ liar(X)+ | ~ says(X,Y)+ | ~ a_truth(Y) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/PUZ002-0.ax view
@@ -0,0 +1,53 @@+%--------------------------------------------------------------------------+% File : PUZ002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Puzzles (Truthtellers and Liars)+% Axioms : Truthtellers and Liars axioms for two types of people+% Version : [LO85] axioms.+% English : Axioms for two types of people; truthtellers and liars.++% Refs : [Smu78] Smullyan (1978), What is the name of this book?-The ri+% : [LO85] Lusk & Overbeek (1985), Non-Horn Problems+% Source : [LO85]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 2 non-Horn; 0 unit; 5 RR)+% Number of atoms : 16 ( 0 equality)+% Maximal clause size : 3 ( 3 average)+% Number of predicates : 1 ( 0 propositional; 1-1 arity)+% Number of functors : 3 ( 0 constant; 1-2 arity)+% Number of variables : 10 ( 0 singleton)+% Maximal term depth : 2 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+cnf(truthteller_or_liar,axiom,+ ( a_truth(truthteller(X))+ | a_truth(liar(X)) )).++cnf(not_both,axiom,+ ( ~ a_truth(truthteller(X))+ | ~ a_truth(liar(X)) )).++cnf(truthtellers_tell_truth,axiom,+ ( ~ a_truth(truthteller(Truthteller))+ | ~ a_truth(says(Truthteller,Statement))+ | a_truth(Statement) )).++cnf(liars_lie,axiom,+ ( ~ a_truth(liar(Liar))+ | ~ a_truth(says(Liar,Statement))+ | ~ a_truth(Statement) )).++cnf(truths_are_told_by_truthtellers,axiom,+ ( ~ a_truth(Statement)+ | ~ a_truth(says(Truthteller,Statement))+ | a_truth(truthteller(Truthteller)) )).++cnf(liars_are_told_by_liars,axiom,+ ( a_truth(Statement)+ | ~ a_truth(says(Liar,Statement))+ | a_truth(liar(Liar)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/PUZ003-0.ax view
@@ -0,0 +1,65 @@+%--------------------------------------------------------------------------+% File : PUZ003-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Puzzles (Truthtellers and Liars)+% Axioms : Truthtellers and Liars axioms for three types of people+% Version : [ANL] axioms.+% English : Axioms for three types of people; truthtellers, liars and+% normal people.++% Refs : [Smu78] Smullyan (1978), What is the name of this book?-The ri+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 8 ( 3 non-Horn; 0 unit; 7 RR)+% Number of atoms : 23 ( 0 equality)+% Maximal clause size : 4 ( 3 average)+% Number of predicates : 1 ( 0 propositional; 1-1 arity)+% Number of functors : 4 ( 0 constant; 1-2 arity)+% Number of variables : 12 ( 0 singleton)+% Maximal term depth : 2 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%-----The next 4 clauses says that a person is one thing+cnf(person_is_one_type,axiom,+ ( a_truth(truthteller(X))+ | a_truth(liar(X))+ | a_truth(normal(X)) )).++cnf(not_truthteller_and_normal,axiom,+ ( ~ a_truth(truthteller(X))+ | ~ a_truth(normal(X)) )).++cnf(not_truthteller_and_liar,axiom,+ ( ~ a_truth(truthteller(X))+ | ~ a_truth(liar(X)) )).++cnf(not_liar_and_normal,axiom,+ ( ~ a_truth(liar(X))+ | ~ a_truth(normal(X)) )).++cnf(truthtellers_tell_truth,axiom,+ ( ~ a_truth(truthteller(X))+ | ~ a_truth(says(X,Y))+ | a_truth(Y) )).++cnf(liars_lie,axiom,+ ( ~ a_truth(liar(X))+ | ~ a_truth(says(X,Y))+ | ~ a_truth(Y) )).++cnf(truthtellers_and_normal_tell_truth,axiom,+ ( ~ a_truth(X)+ | ~ a_truth(says(Y,X))+ | a_truth(truthteller(Y))+ | a_truth(normal(Y)) )).++cnf(liars_and_normal_lie,axiom,+ ( a_truth(X)+ | ~ a_truth(says(Y,X))+ | a_truth(liar(Y))+ | a_truth(normal(Y)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/PUZ004-0.ax view
@@ -0,0 +1,188 @@+%------------------------------------------------------------------------------+% File : PUZ004-0 : TPTP v7.2.0. Released v2.4.0.+% Domain : Puzzles (Quo Vadis)+% Axioms : Quo vadis axioms+% Version :+% English :++% Refs :+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 41 ( 0 non-Horn; 0 unit; 41 RR)+% Number of atoms : 82 ( 0 equality)+% Maximal clause size : 2 ( 2 average)+% Number of predicates : 1 ( 0 propositional; 12-12 arity)+% Number of functors : 13 ( 0 constant; 1-2 arity)+% Number of variables : 480 ( 0 singleton)+% Maximal term depth : 4 ( 1 average)+% SPC : ++% Comments : Contributed by Christian Suttner+%------------------------------------------------------------------------------+cnf(s1_right,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(X,s(Y)),E2)+ | state(B,V1,V2,V3,V4,H,s1(X,s(Y)),S2,S3,S4,e1(X,Y),E2) )).++cnf(s1_left,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,s1(X,s(Y)),S2,S3,S4,e1(X,Y),E2)+ | state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(X,s(Y)),E2) )).++cnf(s1_down,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2)+ | state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2) )).++cnf(s1_up,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2)+ | state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2) )).++cnf(s2_right,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(X,s(Y)),E2)+ | state(B,V1,V2,V3,V4,H,S1,s2(X,s(Y)),S3,S4,e1(X,Y),E2) )).++cnf(s2_left,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,s2(X,s(Y)),S3,S4,e1(X,Y),E2)+ | state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(X,s(Y)),E2) )).++cnf(s2_down,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(s(X),Y),E2)+ | state(B,V1,V2,V3,V4,H,S1,s2(s(X),Y),S3,S4,e1(X,Y),E2) )).++cnf(s2_up,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,s2(s(X),Y),S3,S4,e1(X,Y),E2)+ | state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(s(X),Y),E2) )).++cnf(s3_right,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(X,s(Y)),E2)+ | state(B,V1,V2,V3,V4,H,S1,S2,s3(X,s(Y)),S4,e1(X,Y),E2) )).++cnf(s3_left,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,S2,s3(X,s(Y)),S4,e1(X,Y),E2)+ | state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(X,s(Y)),E2) )).++cnf(s3_down,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(s(X),Y),E2)+ | state(B,V1,V2,V3,V4,H,S1,S2,s3(s(X),Y),S4,e1(X,Y),E2) )).++cnf(s3_up,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,S2,s3(s(X),Y),S4,e1(X,Y),E2)+ | state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(s(X),Y),E2) )).++cnf(s4_right,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(X,s(Y)),E2)+ | state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,s(Y)),e1(X,Y),E2) )).++cnf(s4_left,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,s(Y)),e1(X,Y),E2)+ | state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(X,s(Y)),E2) )).++cnf(s4_down,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(s(X),Y),E2)+ | state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(s(X),Y),e1(X,Y),E2) )).++cnf(s4_up,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(s(X),Y),e1(X,Y),E2)+ | state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(s(X),Y),E2) )).++cnf(v1_right,axiom,+ ( ~ state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))+ | state(B,v1(X,s(Y)),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) )).++cnf(v1_left,axiom,+ ( ~ state(B,v1(X,s(Y)),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))+ | state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) )).++cnf(v1_down,axiom,+ ( ~ state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)+ | state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2) )).++cnf(v1_up,axiom,+ ( ~ state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2)+ | state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) )).++cnf(v2_right,axiom,+ ( ~ state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))+ | state(B,V1,v2(X,s(Y)),V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) )).++cnf(v2_left,axiom,+ ( ~ state(B,V1,v2(X,s(Y)),V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))+ | state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) )).++cnf(v2_down,axiom,+ ( ~ state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)+ | state(B,V1,v2(s(X),Y),V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2) )).++cnf(v2_up,axiom,+ ( ~ state(B,V1,v2(s(X),Y),V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2)+ | state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) )).++cnf(v3_right,axiom,+ ( ~ state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))+ | state(B,V1,V2,v3(X,s(Y)),V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) )).++cnf(v3_left,axiom,+ ( ~ state(B,V1,V2,v3(X,s(Y)),V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))+ | state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) )).++cnf(v3_down,axiom,+ ( ~ state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)+ | state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2) )).++cnf(v3_up,axiom,+ ( ~ state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2)+ | state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) )).++cnf(v4_right,axiom,+ ( ~ state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))+ | state(B,V1,V2,V3,v4(X,s(Y)),H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) )).++cnf(v4_left,axiom,+ ( ~ state(B,V1,V2,V3,v4(X,s(Y)),H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))+ | state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) )).++cnf(v4_down,axiom,+ ( ~ state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)+ | state(B,V1,V2,V3,v4(s(X),Y),H,S1,S2,S3,S4,e1(X,Y),E2) )).++cnf(v4_up,axiom,+ ( ~ state(B,V1,V2,V3,v4(s(X),Y),H,S1,S2,S3,S4,e1(X,Y),E2)+ | state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) )).++cnf(h_right,axiom,+ ( ~ state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(X,s(s(Y))),E2)+ | state(B,V1,V2,V3,V4,h(X,s(Y)),S1,S2,S3,S4,e1(X,Y),E2) )).++cnf(h_left,axiom,+ ( ~ state(B,V1,V2,V3,V4,h(X,s(Y)),S1,S2,S3,S4,e1(X,Y),E2)+ | state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(X,s(s(Y))),E2) )).++cnf(h_down,axiom,+ ( ~ state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(s(X),Y),e2(s(X),s(Y)))+ | state(B,V1,V2,V3,V4,h(s(X),Y),S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))) )).++cnf(h_up,axiom,+ ( ~ state(B,V1,V2,V3,V4,h(s(X),Y),S1,S2,S3,S4,e1(X,Y),e2(X,s(Y)))+ | state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(s(X),Y),e2(s(X),s(Y))) )).++cnf(b_right,axiom,+ ( ~ state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(s(Y))),e2(s(X),s(s(Y))))+ | state(bb(X,s(Y)),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) )).++cnf(b_left,axiom,+ ( ~ state(bb(X,s(Y)),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))+ | state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(s(Y))),e2(s(X),s(s(Y)))) )).++cnf(b_down,axiom,+ ( ~ state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),e2(s(s(X)),s(Y)))+ | state(bb(s(X),Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))) )).++cnf(b_up,axiom,+ ( ~ state(bb(s(X),Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(X,s(Y)))+ | state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),e2(s(s(X)),s(Y))) )).++cnf(swap_blanks,axiom,+ ( ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(Q,W))+ | state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(Q,W),e2(X,Y)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/PUZ005-0.ax view
@@ -0,0 +1,382 @@+%------------------------------------------------------------------------------+% File : PUZ005-0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Puzzles (Sudoku)+% Axioms : Sudoku axioms+% Version : [Bau06] axioms : Especial.+% English :++% Refs : [Bau06] Baumgartner (2006), Email to G. Sutcliffe+% Source : [Bau06]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 79 ( 4 non-Horn; 54 unit; 79 RR)+% Number of atoms : 161 ( 39 equality)+% Maximal clause size : 11 ( 2 average)+% Number of predicates : 4 ( 0 propositional; 1-3 arity)+% Number of functors : 2 ( 1 constant; 0-1 arity)+% Number of variables : 75 ( 0 singleton)+% Maximal term depth : 10 ( 3 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Regarding equality, (un)equality is syntactic (un)equality+%----The domain is the numbers from n1 to n9.+cnf(dom_1,axiom,+ ( dom(s(n0)) )).++cnf(dom_2,axiom,+ ( dom(s(s(n0))) )).++cnf(dom_3,axiom,+ ( dom(s(s(s(n0)))) )).++cnf(dom_4,axiom,+ ( dom(s(s(s(s(n0))))) )).++cnf(dom_5,axiom,+ ( dom(s(s(s(s(s(n0)))))) )).++cnf(dom_6,axiom,+ ( dom(s(s(s(s(s(s(n0))))))) )).++cnf(dom_7,axiom,+ ( dom(s(s(s(s(s(s(s(n0)))))))) )).++cnf(dom_8,axiom,+ ( dom(s(s(s(s(s(s(s(s(n0))))))))) )).++cnf(dom_9,axiom,+ ( dom(s(s(s(s(s(s(s(s(s(n0)))))))))) )).++%----The domain elements are pairwise different;+%----This is the negative part of equality.+cnf(dom_1_not_2,axiom,+ ( s(n0) != s(s(n0)) )).++cnf(dom_1_not_3,axiom,+ ( s(n0) != s(s(s(n0))) )).++cnf(dom_1_not_4,axiom,+ ( s(n0) != s(s(s(s(n0)))) )).++cnf(dom_1_not_5,axiom,+ ( s(n0) != s(s(s(s(s(n0))))) )).++cnf(dom_1_not_6,axiom,+ ( s(n0) != s(s(s(s(s(s(n0)))))) )).++cnf(dom_1_not_7,axiom,+ ( s(n0) != s(s(s(s(s(s(s(n0))))))) )).++cnf(dom_1_not_8,axiom,+ ( s(n0) != s(s(s(s(s(s(s(s(n0)))))))) )).++cnf(dom_1_not_9,axiom,+ ( s(n0) != s(s(s(s(s(s(s(s(s(n0))))))))) )).++cnf(dom_2_not_3,axiom,+ ( s(s(n0)) != s(s(s(n0))) )).++cnf(dom_2_not_4,axiom,+ ( s(s(n0)) != s(s(s(s(n0)))) )).++cnf(dom_2_not_5,axiom,+ ( s(s(n0)) != s(s(s(s(s(n0))))) )).++cnf(dom_2_not_6,axiom,+ ( s(s(n0)) != s(s(s(s(s(s(n0)))))) )).++cnf(dom_2_not_7,axiom,+ ( s(s(n0)) != s(s(s(s(s(s(s(n0))))))) )).++cnf(dom_2_not_8,axiom,+ ( s(s(n0)) != s(s(s(s(s(s(s(s(n0)))))))) )).++cnf(dom_2_not_9,axiom,+ ( s(s(n0)) != s(s(s(s(s(s(s(s(s(n0))))))))) )).++cnf(dom_3_not_4,axiom,+ ( s(s(s(n0))) != s(s(s(s(n0)))) )).++cnf(dom_3_not_5,axiom,+ ( s(s(s(n0))) != s(s(s(s(s(n0))))) )).++cnf(dom_3_not_6,axiom,+ ( s(s(s(n0))) != s(s(s(s(s(s(n0)))))) )).++cnf(dom_3_not_7,axiom,+ ( s(s(s(n0))) != s(s(s(s(s(s(s(n0))))))) )).++cnf(dom_3_not_8,axiom,+ ( s(s(s(n0))) != s(s(s(s(s(s(s(s(n0)))))))) )).++cnf(dom_3_not_9,axiom,+ ( s(s(s(n0))) != s(s(s(s(s(s(s(s(s(n0))))))))) )).++cnf(dom_4_not_5,axiom,+ ( s(s(s(s(n0)))) != s(s(s(s(s(n0))))) )).++cnf(dom_4_not_6,axiom,+ ( s(s(s(s(n0)))) != s(s(s(s(s(s(n0)))))) )).++cnf(dom_4_not_7,axiom,+ ( s(s(s(s(n0)))) != s(s(s(s(s(s(s(n0))))))) )).++cnf(dom_4_not_8,axiom,+ ( s(s(s(s(n0)))) != s(s(s(s(s(s(s(s(n0)))))))) )).++cnf(dom_4_not_9,axiom,+ ( s(s(s(s(n0)))) != s(s(s(s(s(s(s(s(s(n0))))))))) )).++cnf(dom_5_not_6,axiom,+ ( s(s(s(s(s(n0))))) != s(s(s(s(s(s(n0)))))) )).++cnf(dom_5_not_7,axiom,+ ( s(s(s(s(s(n0))))) != s(s(s(s(s(s(s(n0))))))) )).++cnf(dom_5_not_8,axiom,+ ( s(s(s(s(s(n0))))) != s(s(s(s(s(s(s(s(n0)))))))) )).++cnf(dom_5_not_9,axiom,+ ( s(s(s(s(s(n0))))) != s(s(s(s(s(s(s(s(s(n0))))))))) )).++cnf(dom_6_not_7,axiom,+ ( s(s(s(s(s(s(n0)))))) != s(s(s(s(s(s(s(n0))))))) )).++cnf(dom_6_not_8,axiom,+ ( s(s(s(s(s(s(n0)))))) != s(s(s(s(s(s(s(s(n0)))))))) )).++cnf(dom_6_not_9,axiom,+ ( s(s(s(s(s(s(n0)))))) != s(s(s(s(s(s(s(s(s(n0))))))))) )).++cnf(dom_7_not_8,axiom,+ ( s(s(s(s(s(s(s(n0))))))) != s(s(s(s(s(s(s(s(n0)))))))) )).++cnf(dom_7_not_9,axiom,+ ( s(s(s(s(s(s(s(n0))))))) != s(s(s(s(s(s(s(s(s(n0))))))))) )).++cnf(dom_8_not_9,axiom,+ ( s(s(s(s(s(s(s(s(n0)))))))) != s(s(s(s(s(s(s(s(s(n0))))))))) )).++%----Generator:+%----At least one number in each field+%----el(I,J,X) means on row I, column J is the natural number X+cnf(number_in_each_position,axiom,+ ( ~ dom(I)+ | ~ dom(J)+ | el(I,J,s(n0))+ | el(I,J,s(s(n0)))+ | el(I,J,s(s(s(n0))))+ | el(I,J,s(s(s(s(n0)))))+ | el(I,J,s(s(s(s(s(n0))))))+ | el(I,J,s(s(s(s(s(s(n0)))))))+ | el(I,J,s(s(s(s(s(s(s(n0))))))))+ | el(I,J,s(s(s(s(s(s(s(s(n0)))))))))+ | el(I,J,s(s(s(s(s(s(s(s(s(n0)))))))))) )).++%----Restriction:+%----No two same numbers on a field (dual of previous)+%----This is in fact redundant in combination of the previous generator and+%----already one of the following constraints+cnf(only_one_number_in_each_position,axiom,+ ( ~ el(I,J,X)+ | ~ el(I,J,X1)+ | X = X1 )).++%----Restriction:+%----No number occurs twice in a row:+%----(J = J1) :- el(I,J,X), el(I,J1,X1), (X = X1).+%----slightly simpler:+cnf(no_duplicates_in_a_row,axiom,+ ( ~ el(I,J,X)+ | ~ el(I,J1,X)+ | J = J1 )).++%----Restriction:+%----No number occurs twice in a column:+cnf(no_duplicates_in_a_column,axiom,+ ( ~ el(I,J,X)+ | ~ el(I1,J,X)+ | I = I1 )).++%----where different(I,J,I1,J1) means that the field elements at+%----(I,J) and at (I1,J1) are different+%---- different(I,J,I1,J1) ->+% ( el(I,J,X) & el(I1,J1,X1) -> -(X = X1)).+%----Now, the n3x3 subfields.+cnf(subfield_1_1,hypothesis,+ ( subfield(s(n0),s(n0)) )).++cnf(subfield_1_4,hypothesis,+ ( subfield(s(n0),s(s(s(s(n0))))) )).++cnf(subfield_1_7,hypothesis,+ ( subfield(s(n0),s(s(s(s(s(s(s(n0)))))))) )).++cnf(subfield_4_1,hypothesis,+ ( subfield(s(s(s(s(n0)))),s(n0)) )).++cnf(subfield_4_4,hypothesis,+ ( subfield(s(s(s(s(n0)))),s(s(s(s(n0))))) )).++cnf(subfield_4_7,hypothesis,+ ( subfield(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0)))))))) )).++cnf(subfield_7_1,hypothesis,+ ( subfield(s(s(s(s(s(s(s(n0))))))),s(n0)) )).++cnf(subfield_7_4,hypothesis,+ ( subfield(s(s(s(s(s(s(s(n0))))))),s(s(s(s(n0))))) )).++cnf(subfield_7_7,hypothesis,+ ( subfield(s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(n0)))))))) )).++%----Each subfield contains no number twice:+%----Note: It is sufficient to specify only along the diagonals,+%----as along the row and columns the general row and column restrictions+%----above subsume the corresponding ones for the subfields.+%----Notice we do a little bit of integer arithmetic (+1 and +2) to talk+%----about the fields in a given subfield.+%----Perhaps more readable formulation of the axioms is like+%----subfield(I,J) ->+%---- ( el(I,J,X) & el(s(I),s(J),X1) -> -(X = X1)).+%----which translates to+cnf(subfield_diagonal_1,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,J,X)+ | ~ el(s(I),s(J),X) )).++cnf(subfield_diagonal_2,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,J,X)+ | ~ el(s(I),s(s(J)),X) )).++cnf(subfield_diagonal_3,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,J,X)+ | ~ el(s(s(I)),s(J),X) )).++cnf(subfield_diagonal_4,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,J,X)+ | ~ el(s(s(I)),s(s(J)),X) )).++cnf(subfield_diagonal_5,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,s(J),X)+ | ~ el(s(I),J,X) )).++cnf(subfield_diagonal_6,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,s(J),X)+ | ~ el(s(I),s(s(J)),X) )).++cnf(subfield_diagonal_7,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,s(J),X)+ | ~ el(s(s(I)),J,X) )).++cnf(subfield_diagonal_8,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,s(J),X)+ | ~ el(s(s(I)),s(s(J)),X) )).++cnf(subfield_diagonal_9,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,s(s(J)),X)+ | ~ el(s(I),J,X) )).++cnf(subfield_diagonal_10,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,s(s(J)),X)+ | ~ el(s(I),s(J),X) )).++cnf(subfield_diagonal_11,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,s(s(J)),X)+ | ~ el(s(s(I)),J,X) )).++cnf(subfield_diagonal_12,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(I,s(s(J)),X)+ | ~ el(s(s(I)),s(J),X) )).++cnf(subfield_diagonal_13,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(s(I),J,X)+ | ~ el(s(s(I)),s(J),X) )).++cnf(subfield_diagonal_14,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(s(I),J,X)+ | ~ el(s(s(I)),s(s(J)),X) )).++cnf(subfield_diagonal_15,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(s(I),s(J),X)+ | ~ el(s(s(I)),J,X) )).++cnf(subfield_diagonal_16,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(s(I),s(J),X)+ | ~ el(s(s(I)),s(s(J)),X) )).++cnf(subfield_diagonal_17,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(s(I),s(s(J)),X)+ | ~ el(s(s(I)),J,X) )).++cnf(subfield_diagonal_18,hypothesis,+ ( ~ subfield(I,J)+ | ~ el(s(I),s(s(J)),X)+ | ~ el(s(s(I)),s(J),X) )).++%----Some additional constraints. They are redundant but help+%----to solve the Sudoku in a deterministic way quite often.+%----I think the underlying heuristics used by people is called+%----'crosshatching'.+%----In every subfield, every value must be put somewhere+cnf(value_somewhere_in_subfield,hypothesis,+ ( ~ subfield(I,J)+ | ~ dom(X)+ | el(I,J,X)+ | el(I,s(J),X)+ | el(I,s(s(J)),X)+ | el(s(I),J,X)+ | el(s(I),s(J),X)+ | el(s(I),s(s(J)),X)+ | el(s(s(I)),J,X)+ | el(s(s(I)),s(J),X)+ | el(s(s(I)),s(s(J)),X) )).++%----In every row, every value must be put somewhere+cnf(value_somewhere_in_row,hypothesis,+ ( ~ dom(I)+ | ~ dom(X)+ | el(I,s(n0),X)+ | el(I,s(s(n0)),X)+ | el(I,s(s(s(n0))),X)+ | el(I,s(s(s(s(n0)))),X)+ | el(I,s(s(s(s(s(n0))))),X)+ | el(I,s(s(s(s(s(s(n0)))))),X)+ | el(I,s(s(s(s(s(s(s(n0))))))),X)+ | el(I,s(s(s(s(s(s(s(s(n0)))))))),X)+ | el(I,s(s(s(s(s(s(s(s(s(n0))))))))),X) )).++%----In every column, every value must be put somewhere+cnf(value_somewhere_in_column,hypothesis,+ ( ~ dom(J)+ | ~ dom(X)+ | el(s(n0),J,X)+ | el(s(s(n0)),J,X)+ | el(s(s(s(n0))),J,X)+ | el(s(s(s(s(n0)))),J,X)+ | el(s(s(s(s(s(n0))))),J,X)+ | el(s(s(s(s(s(s(n0)))))),J,X)+ | el(s(s(s(s(s(s(s(n0))))))),J,X)+ | el(s(s(s(s(s(s(s(s(n0)))))))),J,X)+ | el(s(s(s(s(s(s(s(s(s(n0))))))))),J,X) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/REL001-0.ax view
@@ -0,0 +1,65 @@+%------------------------------------------------------------------------------+% File : REL001-0 : TPTP v7.2.0. Released v3.6.0.+% Domain : Relation Algebra+% Axioms : Relation algebra+% Version : [Mad95] (equational) axioms.+% English :++% Refs : [Mad95] Maddux (1995), Relation-Algebraic Semantics+% : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Rating : ? v3.6.0+% Syntax : Number of clauses : 13 ( 0 non-Horn; 13 unit; 0 RR)+% Number of atoms : 13 ( 13 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 8 ( 3 constant; 0-2 arity)+% Number of variables : 25 ( 0 singleton)+% Maximal term depth : 5 ( 3 average)+% SPC : ++% Comments : tptp2X -f tptp:short -t cnf:otter REL001+0.ax+%------------------------------------------------------------------------------+cnf(maddux1_join_commutativity_1,axiom,+ ( join(A,B) = join(B,A) )).++cnf(maddux2_join_associativity_2,axiom,+ ( join(A,join(B,C)) = join(join(A,B),C) )).++cnf(maddux3_a_kind_of_de_Morgan_3,axiom,+ ( A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) )).++cnf(maddux4_definiton_of_meet_4,axiom,+ ( meet(A,B) = complement(join(complement(A),complement(B))) )).++cnf(composition_associativity_5,axiom,+ ( composition(A,composition(B,C)) = composition(composition(A,B),C) )).++cnf(composition_identity_6,axiom,+ ( composition(A,one) = A )).++cnf(composition_distributivity_7,axiom,+ ( composition(join(A,B),C) = join(composition(A,C),composition(B,C)) )).++cnf(converse_idempotence_8,axiom,+ ( converse(converse(A)) = A )).++cnf(converse_additivity_9,axiom,+ ( converse(join(A,B)) = join(converse(A),converse(B)) )).++cnf(converse_multiplicativity_10,axiom,+ ( converse(composition(A,B)) = composition(converse(B),converse(A)) )).++cnf(converse_cancellativity_11,axiom,+ ( join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) )).++cnf(def_top_12,axiom,+ ( top = join(A,complement(A)) )).++cnf(def_zero_13,axiom,+ ( zero = meet(A,complement(A)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/REL001-1.ax view
@@ -0,0 +1,35 @@+%------------------------------------------------------------------------------+% File : REL001-1 : TPTP v7.2.0. Released v3.6.0.+% Domain : Relation Algebra+% Axioms : Dedkind and two modular laws+% Version : [Mad95] (equational) axioms : Augmented.+% English :++% Refs : [Mad95] Maddux (1995), Relation-Algebraic Semantics+% : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Rating : ? v3.6.0+% Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 0 RR)+% Number of atoms : 3 ( 3 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 4 ( 0 constant; 1-2 arity)+% Number of variables : 9 ( 0 singleton)+% Maximal term depth : 7 ( 6 average)+% SPC : ++% Comments : tptp2X -f tptp:short -t cnf:otter REL001+1.ax+%------------------------------------------------------------------------------+cnf(dedekind_law_14,axiom,+ ( join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))) )).++cnf(modular_law_1_15,axiom,+ ( join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C) )).++cnf(modular_law_2_16,axiom,+ ( join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/RNG001-0.ax view
@@ -0,0 +1,110 @@+%--------------------------------------------------------------------------+% File : RNG001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Ring Theory+% Axioms : Ring theory axioms+% Version : [MOW76] axioms.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% Source : [MOW76]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 17 ( 0 non-Horn; 6 unit; 11 RR)+% Number of atoms : 50 ( 2 equality)+% Maximal clause size : 5 ( 3 average)+% Number of predicates : 3 ( 0 propositional; 2-3 arity)+% Number of functors : 4 ( 1 constant; 0-2 arity)+% Number of variables : 71 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : These axioms are used in [Wos88] p.201.+%--------------------------------------------------------------------------+cnf(additive_identity1,axiom,+ ( sum(additive_identity,X,X) )).++cnf(additive_identity2,axiom,+ ( sum(X,additive_identity,X) )).++cnf(closure_of_multiplication,axiom,+ ( product(X,Y,multiply(X,Y)) )).++cnf(closure_of_addition,axiom,+ ( sum(X,Y,add(X,Y)) )).++cnf(left_inverse,axiom,+ ( sum(additive_inverse(X),X,additive_identity) )).++cnf(right_inverse,axiom,+ ( sum(X,additive_inverse(X),additive_identity) )).++cnf(associativity_of_addition1,axiom,+ ( ~ sum(X,Y,U)+ | ~ sum(Y,Z,V)+ | ~ sum(U,Z,W)+ | sum(X,V,W) )).++cnf(associativity_of_addition2,axiom,+ ( ~ sum(X,Y,U)+ | ~ sum(Y,Z,V)+ | ~ sum(X,V,W)+ | sum(U,Z,W) )).++cnf(commutativity_of_addition,axiom,+ ( ~ sum(X,Y,Z)+ | sum(Y,X,Z) )).++cnf(associativity_of_multiplication1,axiom,+ ( ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(U,Z,W)+ | product(X,V,W) )).++cnf(associativity_of_multiplication2,axiom,+ ( ~ product(X,Y,U)+ | ~ product(Y,Z,V)+ | ~ product(X,V,W)+ | product(U,Z,W) )).++cnf(distributivity1,axiom,+ ( ~ product(X,Y,V1)+ | ~ product(X,Z,V2)+ | ~ sum(Y,Z,V3)+ | ~ product(X,V3,V4)+ | sum(V1,V2,V4) )).++cnf(distributivity2,axiom,+ ( ~ product(X,Y,V1)+ | ~ product(X,Z,V2)+ | ~ sum(Y,Z,V3)+ | ~ sum(V1,V2,V4)+ | product(X,V3,V4) )).++cnf(distributivity3,axiom,+ ( ~ product(Y,X,V1)+ | ~ product(Z,X,V2)+ | ~ sum(Y,Z,V3)+ | ~ product(V3,X,V4)+ | sum(V1,V2,V4) )).++cnf(distributivity4,axiom,+ ( ~ product(Y,X,V1)+ | ~ product(Z,X,V2)+ | ~ sum(Y,Z,V3)+ | ~ sum(V1,V2,V4)+ | product(V3,X,V4) )).++%-----Equality axioms for operators+cnf(addition_is_well_defined,axiom,+ ( ~ sum(X,Y,U)+ | ~ sum(X,Y,V)+ | U = V )).++cnf(multiplication_is_well_defined,axiom,+ ( ~ product(X,Y,U)+ | ~ product(X,Y,V)+ | U = V )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/RNG002-0.ax view
@@ -0,0 +1,79 @@+%--------------------------------------------------------------------------+% File : RNG002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Ring Theory+% Axioms : Ring theory (equality) axioms+% Version : [PS81] (equality) axioms :+% Reduced & Augmented > Complete.+% English :++% Refs : [PS81] Peterson & Stickel (1981), Complete Sets of Reductions+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 14 ( 0 non-Horn; 14 unit; 1 RR)+% Number of atoms : 14 ( 14 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 4 ( 1 constant; 0-2 arity)+% Number of variables : 25 ( 2 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Not sure if these are complete. I don't know if the reductions+% given in [PS81] are suitable for ATP.+%--------------------------------------------------------------------------+%----Existence of left identity for addition+cnf(left_identity,axiom,+ ( add(additive_identity,X) = X )).++%----Existence of left additive additive_inverse+cnf(left_additive_inverse,axiom,+ ( add(additive_inverse(X),X) = additive_identity )).++%----Distributive property of product over sum+cnf(distribute1,axiom,+ ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )).++cnf(distribute2,axiom,+ ( multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) )).++%----Inverse of identity is identity, stupid+cnf(additive_inverse_identity,axiom,+ ( additive_inverse(additive_identity) = additive_identity )).++%----Inverse of additive_inverse of X is X+cnf(additive_inverse_additive_inverse,axiom,+ ( additive_inverse(additive_inverse(X)) = X )).++%----Behavior of 0 and the multiplication operation+cnf(multiply_additive_id1,axiom,+ ( multiply(X,additive_identity) = additive_identity )).++cnf(multiply_additive_id2,axiom,+ ( multiply(additive_identity,X) = additive_identity )).++%----Inverse of (x + y) is additive_inverse(x) + additive_inverse(y)+cnf(distribute_additive_inverse,axiom,+ ( additive_inverse(add(X,Y)) = add(additive_inverse(X),additive_inverse(Y)) )).++%----x * additive_inverse(y) = additive_inverse (x * y)+cnf(multiply_additive_inverse1,axiom,+ ( multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)) )).++cnf(multiply_additive_inverse2,axiom,+ ( multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)) )).++%----Associativity of addition+cnf(associative_addition,axiom,+ ( add(add(X,Y),Z) = add(X,add(Y,Z)) )).++%----Commutativity of addition+cnf(commutative_addition,axiom,+ ( add(X,Y) = add(Y,X) )).++%----Associativity of product+cnf(associative_multiplication,axiom,+ ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/RNG003-0.ax view
@@ -0,0 +1,80 @@+%--------------------------------------------------------------------------+% File : RNG003-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Ring Theory (Alternative)+% Axioms : Alternative ring theory (equality) axioms+% Version : [Ste87] (equality) axioms.+% English :++% Refs : [Ste87] Stevens (1987), Some Experiments in Nonassociative Rin+% Source : [Ste87]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 15 ( 0 non-Horn; 15 unit; 0 RR)+% Number of atoms : 15 ( 15 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 6 ( 1 constant; 0-3 arity)+% Number of variables : 27 ( 2 singleton)+% Maximal term depth : 5 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----There exists an additive identity element+cnf(left_additive_identity,axiom,+ ( add(additive_identity,X) = X )).++cnf(right_additive_identity,axiom,+ ( add(X,additive_identity) = X )).++%----Multiplicative zero+cnf(left_multiplicative_zero,axiom,+ ( multiply(additive_identity,X) = additive_identity )).++cnf(right_multiplicative_zero,axiom,+ ( multiply(X,additive_identity) = additive_identity )).++%----Existence of left additive additive_inverse+cnf(left_additive_inverse,axiom,+ ( add(additive_inverse(X),X) = additive_identity )).++cnf(right_additive_inverse,axiom,+ ( add(X,additive_inverse(X)) = additive_identity )).++%----Inverse of additive_inverse of X is X+cnf(additive_inverse_additive_inverse,axiom,+ ( additive_inverse(additive_inverse(X)) = X )).++%----Distributive property of product over sum+cnf(distribute1,axiom,+ ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )).++cnf(distribute2,axiom,+ ( multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) )).++%----Commutativity for addition+cnf(commutativity_for_addition,axiom,+ ( add(X,Y) = add(Y,X) )).++%----Associativity for addition+cnf(associativity_for_addition,axiom,+ ( add(X,add(Y,Z)) = add(add(X,Y),Z) )).++%----Right alternative law+cnf(right_alternative,axiom,+ ( multiply(multiply(X,Y),Y) = multiply(X,multiply(Y,Y)) )).++%----Left alternative law+cnf(left_alternative,axiom,+ ( multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y)) )).++%----Associator+cnf(associator,axiom,+ ( associator(X,Y,Z) = add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))) )).++%----Commutator+cnf(commutator,axiom,+ ( commutator(X,Y) = add(multiply(Y,X),additive_inverse(multiply(X,Y))) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/RNG004-0.ax view
@@ -0,0 +1,90 @@+%--------------------------------------------------------------------------+% File : RNG004-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Ring Theory (Alternative)+% Axioms : Alternative ring theory (equality) axioms+% Version : [AH90] (equality) axioms.+% English :++% Refs : [AH90] Anantharaman & Hsiang (1990), Automated Proofs of the+% Source : [AH90]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 17 ( 0 non-Horn; 15 unit; 3 RR)+% Number of atoms : 19 ( 19 equality)+% Maximal clause size : 2 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 4 ( 1 constant; 0-2 arity)+% Number of variables : 32 ( 2 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----There exists an additive identity element [1]+cnf(left_additive_identity,axiom,+ ( add(additive_identity,X) = X )).++%----Multiplicative identity [2] & [3]+cnf(left_multiplicative_zero,axiom,+ ( multiply(additive_identity,X) = additive_identity )).++cnf(right_multiplicative_zero,axiom,+ ( multiply(X,additive_identity) = additive_identity )).++%----Addition of inverse [4]+cnf(add_inverse,axiom,+ ( add(additive_inverse(X),X) = additive_identity )).++%----Sum of inverses [5]+cnf(sum_of_inverses,axiom,+ ( additive_inverse(add(X,Y)) = add(additive_inverse(X),additive_inverse(Y)) )).++%----Inverse of additive_inverse of X is X [6]+cnf(additive_inverse_additive_inverse,axiom,+ ( additive_inverse(additive_inverse(X)) = X )).++%----Distribution of multiply over add [7] & [8]+cnf(multiply_over_add1,axiom,+ ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )).++cnf(multiply_over_add2,axiom,+ ( multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) )).++%----Right alternative law [9]+cnf(right_alternative,axiom,+ ( multiply(multiply(X,Y),Y) = multiply(X,multiply(Y,Y)) )).++%----Left alternative law [10]+cnf(left_alternative,axiom,+ ( multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y)) )).++%----Inverse and product [11] & [12]+cnf(inverse_product1,axiom,+ ( multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)) )).++cnf(inverse_product2,axiom,+ ( multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)) )).++%----Inverse of additive identity [13]+cnf(inverse_additive_identity,axiom,+ ( additive_inverse(additive_identity) = additive_identity )).++%----Commutativity for addition+cnf(commutativity_for_addition,axiom,+ ( add(X,Y) = add(Y,X) )).++%----Associativity for addition+cnf(associativity_for_addition,axiom,+ ( add(X,add(Y,Z)) = add(add(X,Y),Z) )).++%----Left and right cancellation for addition+cnf(left_cancellation_for_addition,axiom,+ ( add(X,Z) != add(Y,Z)+ | X = Y )).++cnf(right_cancellation_for_addition,axiom,+ ( add(Z,X) != add(Z,Y)+ | X = Y )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/RNG005-0.ax view
@@ -0,0 +1,58 @@+%--------------------------------------------------------------------------+% File : RNG005-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Ring Theory+% Axioms : Ring theory (equality) axioms+% Version : [LW92] (equality) axioms.+% English :++% Refs : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% : [LW92] Lusk & Wos (1992), Benchmark Problems in Which Equalit+% Source : [LW92]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 9 ( 0 non-Horn; 9 unit; 0 RR)+% Number of atoms : 9 ( 9 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 4 ( 1 constant; 0-2 arity)+% Number of variables : 18 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : These axioms are used in [Wos88] p.203.+%--------------------------------------------------------------------------+%----There exists an additive identity element+cnf(left_additive_identity,axiom,+ ( add(additive_identity,X) = X )).++cnf(right_additive_identity,axiom,+ ( add(X,additive_identity) = X )).++%----Existence of left additive additive_inverse+cnf(left_additive_inverse,axiom,+ ( add(additive_inverse(X),X) = additive_identity )).++cnf(right_additive_inverse,axiom,+ ( add(X,additive_inverse(X)) = additive_identity )).++%----Associativity for addition+cnf(associativity_for_addition,axiom,+ ( add(X,add(Y,Z)) = add(add(X,Y),Z) )).++%----Commutativity for addition+cnf(commutativity_for_addition,axiom,+ ( add(X,Y) = add(Y,X) )).++%----Associativity for multiplication+cnf(associativity_for_multiplication,axiom,+ ( multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z) )).++%----Distributive property of product over sum+cnf(distribute1,axiom,+ ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )).++cnf(distribute2,axiom,+ ( multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/ROB001-0.ax view
@@ -0,0 +1,34 @@+%--------------------------------------------------------------------------+% File : ROB001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Robbins algebra+% Axioms : Robbins algebra axioms+% Version : [Win90] (equality) axioms.+% English :++% Refs : [HMT71] Henkin et al. (1971), Cylindrical Algebras+% : [Win90] Winker (1990), Robbins Algebra: Conditions that make a+% Source : [OTTER]+% Names : Lemma 2.2 [Win90]++% Status : Satisfiable+% Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 0 RR)+% Number of atoms : 3 ( 3 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 2 ( 0 constant; 1-2 arity)+% Number of variables : 7 ( 0 singleton)+% Maximal term depth : 6 ( 3 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+cnf(commutativity_of_add,axiom,+ ( add(X,Y) = add(Y,X) )).++cnf(associativity_of_add,axiom,+ ( add(add(X,Y),Z) = add(X,add(Y,Z)) )).++cnf(robbins_axiom,axiom,+ ( negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/ROB001-1.ax view
@@ -0,0 +1,39 @@+%--------------------------------------------------------------------------+% File : ROB001-1 : TPTP v7.2.0. Released v1.0.0.+% Domain : Robbins Algebra+% Axioms : Robbins algebra numbers axioms+% Version : [Win90] (equality) axioms.+% English :++% Refs : [HMT71] Henkin et al. (1971), Cylindrical Algebras+% : [Win90] Winker (1990), Robbins Algebra: Conditions that make a+% Source : [Win90]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 4 ( 0 non-Horn; 2 unit; 2 RR)+% Number of atoms : 6 ( 2 equality)+% Maximal clause size : 2 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 1-2 arity)+% Number of functors : 4 ( 1 constant; 0-2 arity)+% Number of variables : 4 ( 0 singleton)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires ROB001-0.ax+%--------------------------------------------------------------------------+cnf(one_times_x,axiom,+ ( multiply(one,X) = X )).++cnf(times_by_adding,axiom,+ ( ~ positive_integer(X)+ | multiply(successor(V),X) = add(X,multiply(V,X)) )).++cnf(one,axiom,+ ( positive_integer(one) )).++cnf(next_integer,axiom,+ ( ~ positive_integer(X)+ | positive_integer(successor(X)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SET001-0.ax view
@@ -0,0 +1,50 @@+%--------------------------------------------------------------------------+% File : SET001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Set Theory+% Axioms : Membership and subsets+% Version : [LS74] axioms.+% English :++% Refs : [LS74] Lawrence & Starkey (1974), Experimental tests of resol+% Source : [SPRFN]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 1 non-Horn; 0 unit; 5 RR)+% Number of atoms : 14 ( 0 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 3 ( 0 propositional; 2-2 arity)+% Number of functors : 1 ( 0 constant; 2-2 arity)+% Number of variables : 13 ( 0 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+cnf(membership_in_subsets,axiom,+ ( ~ member(Element,Subset)+ | ~ subset(Subset,Superset)+ | member(Element,Superset) )).++cnf(subsets_axiom1,axiom,+ ( subset(Subset,Superset)+ | member(member_of_1_not_of_2(Subset,Superset),Subset) )).++cnf(subsets_axiom2,axiom,+ ( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)+ | subset(Subset,Superset) )).++cnf(set_equal_sets_are_subsets1,axiom,+ ( ~ equal_sets(Subset,Superset)+ | subset(Subset,Superset) )).++cnf(set_equal_sets_are_subsets2,axiom,+ ( ~ equal_sets(Superset,Subset)+ | subset(Subset,Superset) )).++cnf(subsets_are_set_equal_sets,axiom,+ ( ~ subset(Set1,Set2)+ | ~ subset(Set2,Set1)+ | equal_sets(Set2,Set1) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SET001-1.ax view
@@ -0,0 +1,56 @@+%--------------------------------------------------------------------------+% File : SET001-1 : TPTP v7.2.0. Released v1.0.0.+% Domain : Set Theory+% Axioms : Membership and union+% Version : [LS74] axioms.+% English :++% Refs : [LS74] Lawrence & Starkey (1974), Experimental tests of resol+% Source : [SPRFN]+% Names : Problem 118 [LS74]++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 2 non-Horn; 0 unit; 5 RR)+% Number of atoms : 20 ( 0 equality)+% Maximal clause size : 4 ( 3 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 1 ( 0 constant; 3-3 arity)+% Number of variables : 21 ( 2 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires SET001-0.ax+%--------------------------------------------------------------------------+cnf(member_of_union_is_member_of_one_set,axiom,+ ( ~ union(Set1,Set2,Union)+ | ~ member(Element,Union)+ | member(Element,Set1)+ | member(Element,Set2) )).++cnf(member_of_set1_is_member_of_union,axiom,+ ( ~ union(Set1,Set2,Union)+ | ~ member(Element,Set1)+ | member(Element,Union) )).++cnf(member_of_set2_is_member_of_union,axiom,+ ( ~ union(Set1,Set2,Union)+ | ~ member(Element,Set2)+ | member(Element,Union) )).++cnf(union_axiom1,axiom,+ ( union(Set1,Set2,Union)+ | member(g(Set1,Set2,Union),Set1)+ | member(g(Set1,Set2,Union),Set2)+ | member(g(Set1,Set2,Union),Union) )).++cnf(union_axiom2,axiom,+ ( ~ member(g(Set1,Set2,Union),Set1)+ | ~ member(g(Set1,Set2,Union),Union)+ | union(Set1,Set2,Union) )).++cnf(union_axiom3,axiom,+ ( ~ member(g(Set1,Set2,Union),Set2)+ | ~ member(g(Set1,Set2,Union),Union)+ | union(Set1,Set2,Union) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SET001-2.ax view
@@ -0,0 +1,56 @@+%--------------------------------------------------------------------------+% File : SET001-2 : TPTP v7.2.0. Released v1.0.0.+% Domain : Set Theory+% Axioms : Membership and intersection+% Version : [LS74] axioms.+% English :++% Refs : [LS74] Lawrence & Starkey (1974), Experimental tests of resol+% Source : [SPRFN]+% Names : Problem 118 [LS74]++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 2 non-Horn; 0 unit; 4 RR)+% Number of atoms : 20 ( 0 equality)+% Maximal clause size : 4 ( 3 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 1 ( 0 constant; 3-3 arity)+% Number of variables : 21 ( 2 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires SET001-0.ax+%--------------------------------------------------------------------------+cnf(member_of_intersection_is_member_of_set1,axiom,+ ( ~ intersection(Set1,Set2,Intersection)+ | ~ member(Element,Intersection)+ | member(Element,Set1) )).++cnf(member_of_intersection_is_member_of_set2,axiom,+ ( ~ intersection(Set1,Set2,Intersection)+ | ~ member(Element,Intersection)+ | member(Element,Set2) )).++cnf(member_of_both_is_member_of_intersection,axiom,+ ( ~ intersection(Set1,Set2,Intersection)+ | ~ member(Element,Set2)+ | ~ member(Element,Set1)+ | member(Element,Intersection) )).++cnf(intersection_axiom1,axiom,+ ( member(h(Set1,Set2,Intersection),Intersection)+ | intersection(Set1,Set2,Intersection)+ | member(h(Set1,Set2,Intersection),Set1) )).++cnf(intersection_axiom2,axiom,+ ( member(h(Set1,Set2,Intersection),Intersection)+ | intersection(Set1,Set2,Intersection)+ | member(h(Set1,Set2,Intersection),Set2) )).++cnf(intersection_axiom3,axiom,+ ( ~ member(h(Set1,Set2,Intersection),Intersection)+ | ~ member(h(Set1,Set2,Intersection),Set2)+ | ~ member(h(Set1,Set2,Intersection),Set1)+ | intersection(Set1,Set2,Intersection) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SET001-3.ax view
@@ -0,0 +1,56 @@+%--------------------------------------------------------------------------+% File : SET001-3 : TPTP v7.2.0. Released v1.0.0.+% Domain : Set Theory+% Axioms : Membership and difference+% Version : [LS74] axioms.+% English :++% Refs : [LS74] Lawrence & Starkey (1974), Experimental tests of resol+% Source : [SPRFN]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 6 ( 4 non-Horn; 0 unit; 5 RR)+% Number of atoms : 20 ( 0 equality)+% Maximal clause size : 4 ( 3 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 1 ( 0 constant; 3-3 arity)+% Number of variables : 21 ( 2 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires SET001-0.ax+%--------------------------------------------------------------------------+cnf(member_of_difference,axiom,+ ( ~ difference(Set1,Set2,Difference)+ | ~ member(Element,Difference)+ | member(Element,Set1) )).++cnf(not_member_of_difference,axiom,+ ( ~ member(Element,Set1)+ | ~ member(Element,Set2)+ | ~ difference(A_set,Set1,Set2) )).++cnf(member_of_difference_or_set2,axiom,+ ( ~ member(Element,Set1)+ | ~ difference(Set1,Set2,Difference)+ | member(Element,Difference)+ | member(Element,Set2) )).++cnf(difference_axiom2,axiom,+ ( difference(Set1,Set2,Difference)+ | member(k(Set1,Set2,Difference),Set1)+ | member(k(Set1,Set2,Difference),Difference) )).++cnf(difference_axiom1,axiom,+ ( ~ member(k(Set1,Set2,Difference),Set2)+ | member(k(Set1,Set2,Difference),Difference)+ | difference(Set1,Set2,Difference) )).++cnf(difference_axiom3,axiom,+ ( ~ member(k(Set1,Set2,Difference),Difference)+ | ~ member(k(Set1,Set2,Difference),Set1)+ | member(k(Set1,Set2,Difference),Set2)+ | difference(Set1,Set2,Difference) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SET002-0.ax view
@@ -0,0 +1,118 @@+%--------------------------------------------------------------------------+% File : SET002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Set Theory+% Axioms : Set theory axioms+% Version : [MOW76] axioms : Biased.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% Source : [ANL]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 21 ( 3 non-Horn; 3 unit; 15 RR)+% Number of atoms : 45 ( 0 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 4 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 1 constant; 0-2 arity)+% Number of variables : 48 ( 5 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%-----Definition of the empty set.+cnf(empty_set,axiom,+ ( ~ member(X,empty_set) )).++%-----Subset axioms. These are the same as in SET001-0.ax+cnf(membership_in_subsets,axiom,+ ( ~ member(Element,Subset)+ | ~ subset(Subset,Superset)+ | member(Element,Superset) )).++cnf(subsets_axiom1,axiom,+ ( subset(Subset,Superset)+ | member(member_of_1_not_of_2(Subset,Superset),Subset) )).++cnf(subsets_axiom2,axiom,+ ( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)+ | subset(Subset,Superset) )).++%-----Axioms of complementation.+cnf(member_of_set_or_complement,axiom,+ ( member(X,Xs)+ | member(X,complement(Xs)) )).++cnf(not_member_of_set_and_complement,axiom,+ ( ~ member(X,Xs)+ | ~ member(X,complement(Xs)) )).++%-----Axioms of union.+cnf(member_of_set1_is_member_of_union,axiom,+ ( ~ member(X,Xs)+ | member(X,union(Xs,Ys)) )).++cnf(member_of_set2_is_member_of_union,axiom,+ ( ~ member(X,Ys)+ | member(X,union(Xs,Ys)) )).++cnf(member_of_union_is_member_of_one_set,axiom,+ ( ~ member(X,union(Xs,Ys))+ | member(X,Xs)+ | member(X,Ys) )).++%-----Axioms of intersection.+cnf(member_of_both_is_member_of_intersection,axiom,+ ( ~ member(X,Xs)+ | ~ member(X,Ys)+ | member(X,intersection(Xs,Ys)) )).++cnf(member_of_intersection_is_member_of_set1,axiom,+ ( ~ member(X,intersection(Xs,Ys))+ | member(X,Xs) )).++cnf(member_of_intersection_is_member_of_set2,axiom,+ ( ~ member(X,intersection(Xs,Ys))+ | member(X,Ys) )).++%-----Set equality axioms.+cnf(set_equal_sets_are_subsets1,axiom,+ ( ~ equal_sets(Subset,Superset)+ | subset(Subset,Superset) )).++cnf(set_equal_sets_are_subsets2,axiom,+ ( ~ equal_sets(Superset,Subset)+ | subset(Subset,Superset) )).++cnf(subsets_are_set_equal_sets,axiom,+ ( ~ subset(Set1,Set2)+ | ~ subset(Set2,Set1)+ | equal_sets(Set2,Set1) )).++%-----Equality axioms.+cnf(reflexivity_for_set_equal,axiom,+ ( equal_sets(Xs,Xs) )).++cnf(symmetry_for_set_equal,axiom,+ ( ~ equal_sets(Xs,Ys)+ | equal_sets(Ys,Xs) )).++cnf(transitivity_for_set_equal,axiom,+ ( ~ equal_sets(Xs,Ys)+ | ~ equal_sets(Ys,Zs)+ | equal_sets(Xs,Zs) )).++cnf(reflexivity_for_equal_elements,axiom,+ ( equal_elements(X,X) )).++cnf(symmetry_for_equal_elements,axiom,+ ( ~ equal_elements(X,Y)+ | equal_elements(Y,X) )).++cnf(transitivity_for_equal_elements,axiom,+ ( ~ equal_elements(X,Y)+ | ~ equal_elements(Y,Z)+ | equal_elements(X,Z) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SET003-0.ax view
@@ -0,0 +1,709 @@+%--------------------------------------------------------------------------+% File : SET003-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Set Theory+% Axioms : Set theory axioms based on Godel set theory+% Version : [BL+86] axioms.+% English :++% Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% : [McC92] McCune (1992), Email to G. Sutcliffe+% Source : [McC92]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 141 ( 20 non-Horn; 11 unit; 118 RR)+% Number of atoms : 355 ( 47 equality)+% Maximal clause size : 8 ( 3 average)+% Number of predicates : 14 ( 0 propositional; 1-5 arity)+% Number of functors : 59 ( 6 constant; 0-5 arity)+% Number of variables : 320 ( 28 singleton)+% Maximal term depth : 4 ( 1 average)+% SPC : ++% Comments : Requires EQU001-0.ax+% : These axioms are based on Godel's axioms for set theory.+% : These axioms are also used in [Wos88] p.225.+%--------------------------------------------------------------------------+%----Axiom A-1, little sets are sets (omitted because all objects are sets)++%----Axiom A-2, elements of sets are little sets.+cnf(a2,axiom,+ ( ~ member(X,Y)+ | little_set(X) )).++%----Axiom A-3, principle of extensionality+cnf(extensionality1,axiom,+ ( little_set(f1(X,Y))+ | X = Y )).++cnf(extensionality2,axiom,+ ( member(f1(X,Y),X)+ | member(f1(X,Y),Y)+ | X = Y )).++cnf(extensionality3,axiom,+ ( ~ member(f1(X,Y),X)+ | ~ member(f1(X,Y),Y)+ | X = Y )).++%----Axiom a-4, existence of nonordered pair+cnf(non_ordered_pair1,axiom,+ ( ~ member(U,non_ordered_pair(X,Y))+ | U = X+ | U = Y )).++cnf(non_ordered_pair2,axiom,+ ( member(U,non_ordered_pair(X,Y))+ | ~ little_set(U)+ | U != X )).++cnf(non_ordered_pair3,axiom,+ ( member(U,non_ordered_pair(X,Y))+ | ~ little_set(U)+ | U != Y )).++cnf(non_ordered_pair4,axiom,+ ( little_set(non_ordered_pair(X,Y)) )).++%----Definition of singleton set+cnf(singleton_set,axiom,+ ( singleton_set(X) = non_ordered_pair(X,X) )).++%----Definition of ordered pair+cnf(ordered_pair,axiom,+ ( ordered_pair(X,Y) = non_ordered_pair(singleton_set(X),non_ordered_pair(X,Y)) )).++%----Definition of ordered pair predicate+cnf(ordered_pair_predicate1,axiom,+ ( ~ ordered_pair_predicate(X)+ | little_set(f2(X)) )).++cnf(ordered_pair_predicate2,axiom,+ ( ~ ordered_pair_predicate(X)+ | little_set(f3(X)) )).++cnf(ordered_pair_predicate3,axiom,+ ( ~ ordered_pair_predicate(X)+ | X = ordered_pair(f2(X),f3(X)) )).++cnf(ordered_pair_predicate4,axiom,+ ( ordered_pair_predicate(X)+ | ~ little_set(Y)+ | ~ little_set(Z)+ | X != ordered_pair(Y,Z) )).++%----Axiom of first+cnf(first1,axiom,+ ( ~ member(Z,first(X))+ | little_set(f4(Z,X)) )).++cnf(first2,axiom,+ ( ~ member(Z,first(X))+ | little_set(f5(Z,X)) )).++cnf(first3,axiom,+ ( ~ member(Z,first(X))+ | X = ordered_pair(f4(Z,X),f5(Z,X)) )).++cnf(first4,axiom,+ ( ~ member(Z,first(X))+ | member(Z,f4(Z,X)) )).++cnf(first5,axiom,+ ( member(Z,first(X))+ | ~ little_set(U)+ | ~ little_set(V)+ | X != ordered_pair(U,V)+ | ~ member(Z,U) )).++%----Axiom of second+cnf(second1,axiom,+ ( ~ member(Z,second(X))+ | little_set(f6(Z,X)) )).++cnf(second2,axiom,+ ( ~ member(Z,second(X))+ | little_set(f7(Z,X)) )).++cnf(second3,axiom,+ ( ~ member(Z,second(X))+ | X = ordered_pair(f6(Z,X),f7(Z,X)) )).++cnf(second4,axiom,+ ( ~ member(Z,second(X))+ | member(Z,f7(Z,X)) )).++cnf(second5,axiom,+ ( member(Z,second(X))+ | ~ little_set(U)+ | ~ little_set(V)+ | X != ordered_pair(U,V)+ | ~ member(Z,V) )).++%----Axiom B-1, element relation+cnf(element_relation1,axiom,+ ( ~ member(Z,estin)+ | ordered_pair_predicate(Z) )).++cnf(element_relation2,axiom,+ ( ~ member(Z,estin)+ | member(first(Z),second(Z)) )).++cnf(element_relation3,axiom,+ ( member(Z,estin)+ | ~ little_set(Z)+ | ~ ordered_pair_predicate(Z)+ | ~ member(first(Z),second(Z)) )).++%----Axiom B-2, intersection+cnf(intersection1,axiom,+ ( ~ member(Z,intersection(X,Y))+ | member(Z,X) )).++cnf(intersection2,axiom,+ ( ~ member(Z,intersection(X,Y))+ | member(Z,Y) )).++cnf(intersection3,axiom,+ ( member(Z,intersection(X,Y))+ | ~ member(Z,X)+ | ~ member(Z,Y) )).++%----Axiom B-3, complement+cnf(complement1,axiom,+ ( ~ member(Z,complement(X))+ | ~ member(Z,X) )).++cnf(complement2,axiom,+ ( member(Z,complement(X))+ | ~ little_set(Z)+ | member(Z,X) )).++%----Definition of union+cnf(union,axiom,+ ( union(X,Y) = complement(intersection(complement(X),complement(Y))) )).++%----Axiom B-4, domain+cnf(domain1,axiom,+ ( ~ member(Z,domain_of(X))+ | ordered_pair_predicate(f8(Z,X)) )).++cnf(domain2,axiom,+ ( ~ member(Z,domain_of(X))+ | member(f8(Z,X),X) )).++cnf(domain3,axiom,+ ( ~ member(Z,domain_of(X))+ | Z = first(f8(Z,X)) )).++cnf(domain4,axiom,+ ( member(Z,domain_of(X))+ | ~ little_set(Z)+ | ~ ordered_pair_predicate(Xp)+ | ~ member(Xp,X)+ | Z != first(Xp) )).++%----Axiom B-5, cross product+cnf(cross_product1,axiom,+ ( ~ member(Z,cross_product(X,Y))+ | ordered_pair_predicate(Z) )).++cnf(cross_product2,axiom,+ ( ~ member(Z,cross_product(X,Y))+ | member(first(Z),X) )).++cnf(cross_product3,axiom,+ ( ~ member(Z,cross_product(X,Y))+ | member(second(Z),Y) )).++cnf(cross_product4,axiom,+ ( member(Z,cross_product(X,Y))+ | ~ little_set(Z)+ | ~ ordered_pair_predicate(Z)+ | ~ member(first(Z),X)+ | ~ member(second(Z),Y) )).++%----Axiom B-6, converse+cnf(converse1,axiom,+ ( ~ member(Z,converse(X))+ | ordered_pair_predicate(Z) )).++cnf(converse2,axiom,+ ( ~ member(Z,converse(X))+ | member(ordered_pair(second(Z),first(Z)),X) )).++cnf(converse3,axiom,+ ( member(Z,converse(X))+ | ~ little_set(Z)+ | ~ ordered_pair_predicate(Z)+ | ~ member(ordered_pair(second(Z),first(Z)),X) )).++%----Axiom B-7, rotate_right+cnf(rotate_right1,axiom,+ ( ~ member(Z,rotate_right(X))+ | little_set(f9(Z,X)) )).++cnf(rotate_right2,axiom,+ ( ~ member(Z,rotate_right(X))+ | little_set(f10(Z,X)) )).++cnf(rotate_right3,axiom,+ ( ~ member(Z,rotate_right(X))+ | little_set(f11(Z,X)) )).++cnf(rotate_right4,axiom,+ ( ~ member(Z,rotate_right(X))+ | Z = ordered_pair(f9(Z,X),ordered_pair(f10(Z,X),f11(Z,X))) )).++cnf(rotate_right5,axiom,+ ( ~ member(Z,rotate_right(X))+ | member(ordered_pair(f10(Z,X),ordered_pair(f11(Z,X),f9(Z,X))),X) )).++cnf(rotate_right6,axiom,+ ( member(Z,rotate_right(X))+ | ~ little_set(Z)+ | ~ little_set(U)+ | ~ little_set(V)+ | ~ little_set(W)+ | Z != ordered_pair(U,ordered_pair(V,W))+ | ~ member(ordered_pair(V,ordered_pair(W,U)),X) )).++%----Axiom B-8, flip_range+cnf(flip_range1,axiom,+ ( ~ member(Z,flip_range_of(X))+ | little_set(f12(Z,X)) )).++cnf(flip_range2,axiom,+ ( ~ member(Z,flip_range_of(X))+ | little_set(f13(Z,X)) )).++cnf(flip_range3,axiom,+ ( ~ member(Z,flip_range_of(X))+ | little_set(f14(Z,X)) )).++cnf(flip_range4,axiom,+ ( ~ member(Z,flip_range_of(X))+ | Z = ordered_pair(f12(Z,X),ordered_pair(f13(Z,X),f14(Z,X))) )).++cnf(flip_range5,axiom,+ ( ~ member(Z,flip_range_of(X))+ | member(ordered_pair(f12(Z,X),ordered_pair(f14(Z,X),f13(Z,X))),X) )).++cnf(flip_range6,axiom,+ ( member(Z,flip_range_of(X))+ | ~ little_set(Z)+ | ~ little_set(U)+ | ~ little_set(V)+ | ~ little_set(W)+ | Z != ordered_pair(U,ordered_pair(V,W))+ | ~ member(ordered_pair(U,ordered_pair(W,V)),X) )).++%----Definition of successor+cnf(successor,axiom,+ ( successor(X) = union(X,singleton_set(X)) )).++%----Definition of empty set+cnf(empty_set,axiom,+ ( ~ member(Z,empty_set) )).++%----Definition of universal set+cnf(universal_set,axiom,+ ( member(Z,universal_set)+ | ~ little_set(Z) )).++%----Axiom C-1, infinity+cnf(infinity1,axiom,+ ( little_set(infinity) )).++cnf(infinity2,axiom,+ ( member(empty_set,infinity) )).++cnf(infinity3,axiom,+ ( ~ member(X,infinity)+ | member(successor(X),infinity) )).++%----Axiom C-2, sigma (union of elements)+cnf(sigma1,axiom,+ ( ~ member(Z,sigma(X))+ | member(f16(Z,X),X) )).++cnf(sigma2,axiom,+ ( ~ member(Z,sigma(X))+ | member(Z,f16(Z,X)) )).++cnf(sigma3,axiom,+ ( member(Z,sigma(X))+ | ~ member(Y,X)+ | ~ member(Z,Y) )).++cnf(sigma4,axiom,+ ( ~ little_set(U)+ | little_set(sigma(U)) )).++%----Definition of subset+cnf(subset1,axiom,+ ( ~ subset(X,Y)+ | ~ member(U,X)+ | member(U,Y) )).++cnf(subset2,axiom,+ ( subset(X,Y)+ | member(f17(X,Y),X) )).++cnf(subset3,axiom,+ ( subset(X,Y)+ | ~ member(f17(X,Y),Y) )).++%----Definition of proper subset+cnf(proper_subset1,axiom,+ ( ~ proper_subset(X,Y)+ | subset(X,Y) )).++cnf(proper_subset2,axiom,+ ( ~ proper_subset(X,Y)+ | X != Y )).++cnf(proper_subset3,axiom,+ ( proper_subset(X,Y)+ | ~ subset(X,Y)+ | X = Y )).++%----Axiom C-3, powerset+cnf(powerset1,axiom,+ ( ~ member(Z,powerset(X))+ | subset(Z,X) )).++cnf(powerset2,axiom,+ ( member(Z,powerset(X))+ | ~ little_set(Z)+ | ~ subset(Z,X) )).++cnf(powerset3,axiom,+ ( ~ little_set(U)+ | little_set(powerset(U)) )).++%----Definition of relation+cnf(relation1,axiom,+ ( ~ relation(Z)+ | ~ member(X,Z)+ | ordered_pair_predicate(X) )).++cnf(relation2,axiom,+ ( relation(Z)+ | member(f18(Z),Z) )).++cnf(relation3,axiom,+ ( relation(Z)+ | ~ ordered_pair_predicate(f18(Z)) )).++%----Definition of single-valued set+cnf(single_valued_set1,axiom,+ ( ~ single_valued_set(X)+ | ~ little_set(U)+ | ~ little_set(V)+ | ~ little_set(W)+ | ~ member(ordered_pair(U,V),X)+ | ~ member(ordered_pair(U,W),X)+ | V = W )).++cnf(single_valued_set2,axiom,+ ( single_valued_set(X)+ | little_set(f19(X)) )).++cnf(single_valued_set3,axiom,+ ( single_valued_set(X)+ | little_set(f20(X)) )).++cnf(single_valued_set4,axiom,+ ( single_valued_set(X)+ | little_set(f21(X)) )).++cnf(single_valued_set5,axiom,+ ( single_valued_set(X)+ | member(ordered_pair(f19(X),f20(X)),X) )).++cnf(single_valued_set6,axiom,+ ( single_valued_set(X)+ | member(ordered_pair(f19(X),f21(X)),X) )).++cnf(single_valued_set7,axiom,+ ( single_valued_set(X)+ | f20(X) != f21(X) )).++%----Definition of function+cnf(function1,axiom,+ ( ~ function(Xf)+ | relation(Xf) )).++cnf(function2,axiom,+ ( ~ function(Xf)+ | single_valued_set(Xf) )).++cnf(function3,axiom,+ ( function(Xf)+ | ~ relation(Xf)+ | ~ single_valued_set(Xf) )).++%----Axiom C-4, image and substitution+cnf(image_and_substitution1,axiom,+ ( ~ member(Z,image(X,Xf))+ | ordered_pair_predicate(f22(Z,X,Xf)) )).++cnf(image_and_substitution2,axiom,+ ( ~ member(Z,image(X,Xf))+ | member(f22(Z,X,Xf),Xf) )).++cnf(image_and_substitution3,axiom,+ ( ~ member(Z,image(X,Xf))+ | member(first(f22(Z,X,Xf)),X) )).++cnf(image_and_substitution4,axiom,+ ( ~ member(Z,image(X,Xf))+ | second(f22(Z,X,Xf)) = Z )).++cnf(image_and_substitution5,axiom,+ ( member(Z,image(X,Xf))+ | ~ little_set(Z)+ | ~ ordered_pair_predicate(Y)+ | ~ member(Y,Xf)+ | ~ member(first(Y),X)+ | second(Y) != Z )).++cnf(image_and_substitution6,axiom,+ ( ~ little_set(X)+ | ~ function(Xf)+ | little_set(image(X,Xf)) )).++%----Definition of disjoint+cnf(disjoint1,axiom,+ ( ~ disjoint(X,Y)+ | ~ member(U,X)+ | ~ member(U,Y) )).++cnf(disjoint2,axiom,+ ( disjoint(X,Y)+ | member(f23(X,Y),X) )).++cnf(disjoint3,axiom,+ ( disjoint(X,Y)+ | member(f23(X,Y),Y) )).++%----Axiom D, regularity+cnf(regularity1,axiom,+ ( X = empty_set+ | member(f24(X),X) )).++cnf(regularity2,axiom,+ ( X = empty_set+ | disjoint(f24(X),X) )).++%----Axiom E, choice+cnf(choice1,axiom,+ ( function(f25) )).++cnf(choice2,axiom,+ ( ~ little_set(X)+ | X = empty_set+ | member(f26(X),X) )).++cnf(choice3,axiom,+ ( ~ little_set(X)+ | X = empty_set+ | member(ordered_pair(X,f26(X)),f25) )).++%----Definition of range_of+cnf(range_of1,axiom,+ ( ~ member(Z,range_of(X))+ | ordered_pair_predicate(f27(Z,X)) )).++cnf(range_of2,axiom,+ ( ~ member(Z,range_of(X))+ | member(f27(Z,X),X) )).++cnf(range_of3,axiom,+ ( ~ member(Z,range_of(X))+ | Z = second(f27(Z,X)) )).++cnf(range_of4,axiom,+ ( member(Z,range_of(X))+ | ~ little_set(Z)+ | ~ ordered_pair_predicate(Xp)+ | ~ member(Xp,X)+ | Z != second(Xp) )).++%----Definition of identity relation+cnf(identity_relation1,axiom,+ ( ~ member(Z,identity_relation)+ | ordered_pair_predicate(Z) )).++cnf(identity_relation2,axiom,+ ( ~ member(Z,identity_relation)+ | first(Z) = second(Z) )).++cnf(identity_relation3,axiom,+ ( member(Z,identity_relation)+ | ~ little_set(Z)+ | ~ ordered_pair_predicate(Z)+ | first(Z) != second(Z) )).++%----Definition of restrict+cnf(restrict,axiom,+ ( restrict(X,Y) = intersection(X,cross_product(Y,universal_set)) )).++%----Definition of one-to-one function+cnf(one_to_one_function1,axiom,+ ( ~ one_to_one_function(Xf)+ | function(Xf) )).++cnf(one_to_one_function2,axiom,+ ( ~ one_to_one_function(Xf)+ | function(converse(Xf)) )).++cnf(one_to_one_function3,axiom,+ ( one_to_one_function(Xf)+ | ~ function(Xf)+ | ~ function(converse(Xf)) )).++%----Definition of apply+cnf(apply1,axiom,+ ( ~ member(Z,apply(Xf,Y))+ | ordered_pair_predicate(f28(Z,Xf,Y)) )).++cnf(apply2,axiom,+ ( ~ member(Z,apply(Xf,Y))+ | member(f28(Z,Xf,Y),Xf) )).++cnf(apply3,axiom,+ ( ~ member(Z,apply(Xf,Y))+ | first(f28(Z,Xf,Y)) = Y )).++cnf(apply4,axiom,+ ( ~ member(Z,apply(Xf,Y))+ | member(Z,second(f28(Z,Xf,Y))) )).++cnf(apply5,axiom,+ ( member(Z,apply(Xf,Y))+ | ~ ordered_pair_predicate(W)+ | ~ member(W,Xf)+ | first(W) != Y+ | ~ member(Z,second(W)) )).++%----Definition of apply to 2 arguments+cnf(apply_to_two_arguments,axiom,+ ( apply_to_two_arguments(Xf,X,Y) = apply(Xf,ordered_pair(X,Y)) )).++%----Definition of maps+cnf(maps1,axiom,+ ( ~ maps(Xf,X,Y)+ | function(Xf) )).++cnf(maps2,axiom,+ ( ~ maps(Xf,X,Y)+ | domain_of(Xf) = X )).++cnf(maps3,axiom,+ ( ~ maps(Xf,X,Y)+ | subset(range_of(Xf),Y) )).++cnf(maps4,axiom,+ ( maps(Xf,X,Y)+ | ~ function(Xf)+ | domain_of(Xf) != X+ | ~ subset(range_of(Xf),Y) )).++%----Definition of closed+cnf(closed1,axiom,+ ( ~ closed(Xs,Xf)+ | little_set(Xs) )).++cnf(closed2,axiom,+ ( ~ closed(Xs,Xf)+ | little_set(Xf) )).++cnf(closed3,axiom,+ ( ~ closed(Xs,Xf)+ | maps(Xf,cross_product(Xs,Xs),Xs) )).++cnf(closed4,axiom,+ ( closed(Xs,Xf)+ | ~ little_set(Xs)+ | ~ little_set(Xf)+ | ~ maps(Xf,cross_product(Xs,Xs),Xs) )).++%----Definition of compose+cnf(compose1,axiom,+ ( ~ member(Z,compose(Xf,Xg))+ | little_set(f29(Z,Xf,Xg)) )).++cnf(compose2,axiom,+ ( ~ member(Z,compose(Xf,Xg))+ | little_set(f30(Z,Xf,Xg)) )).++cnf(compose3,axiom,+ ( ~ member(Z,compose(Xf,Xg))+ | little_set(f31(Z,Xf,Xg)) )).++cnf(compose4,axiom,+ ( ~ member(Z,compose(Xf,Xg))+ | Z = ordered_pair(f29(Z,Xf,Xg),f30(Z,Xf,Xg)) )).++cnf(compose5,axiom,+ ( ~ member(Z,compose(Xf,Xg))+ | member(ordered_pair(f29(Z,Xf,Xg),f31(Z,Xf,Xg)),Xf) )).++cnf(compose6,axiom,+ ( ~ member(Z,compose(Xf,Xg))+ | member(ordered_pair(f31(Z,Xf,Xg),f30(Z,Xf,Xg)),Xg) )).++cnf(compose7,axiom,+ ( member(Z,compose(Xf,Xg))+ | ~ little_set(Z)+ | ~ little_set(X)+ | ~ little_set(Y)+ | ~ little_set(W)+ | Z != ordered_pair(X,Y)+ | ~ member(ordered_pair(X,W),Xf)+ | ~ member(ordered_pair(W,Y),Xg) )).++%----Definition of a homomorphism+cnf(homomorphism1,axiom,+ ( ~ homomorphism(Xh,Xs1,Xf1,Xs2,Xf2)+ | closed(Xs1,Xf1) )).++cnf(homomorphism2,axiom,+ ( ~ homomorphism(Xh,Xs1,Xf1,Xs2,Xf2)+ | closed(Xs2,Xf2) )).++cnf(homomorphism3,axiom,+ ( ~ homomorphism(Xh,Xs1,Xf1,Xs2,Xf2)+ | maps(Xh,Xs1,Xs2) )).++cnf(homomorphism4,axiom,+ ( ~ homomorphism(Xh,Xs1,Xf1,Xs2,Xf2)+ | ~ member(X,Xs1)+ | ~ member(Y,Xs1)+ | apply(Xh,apply_to_two_arguments(Xf1,X,Y)) = apply_to_two_arguments(Xf2,apply(Xh,X),apply(Xh,Y)) )).++cnf(homomorphism5,axiom,+ ( homomorphism(Xh,Xs1,Xf1,Xs2,Xf2)+ | ~ closed(Xs1,Xf1)+ | ~ closed(Xs2,Xf2)+ | ~ maps(Xh,Xs1,Xs2)+ | member(f32(Xh,Xs1,Xf1,Xs2,Xf2),Xs1) )).++cnf(homomorphism6,axiom,+ ( homomorphism(Xh,Xs1,Xf1,Xs2,Xf2)+ | ~ closed(Xs1,Xf1)+ | ~ closed(Xs2,Xf2)+ | ~ maps(Xh,Xs1,Xs2)+ | member(f33(Xh,Xs1,Xf1,Xs2,Xf2),Xs1) )).++cnf(homomorphism7,axiom,+ ( homomorphism(Xh,Xs1,Xf1,Xs2,Xf2)+ | ~ closed(Xs1,Xf1)+ | ~ closed(Xs2,Xf2)+ | ~ maps(Xh,Xs1,Xs2)+ | apply(Xh,apply_to_two_arguments(Xf1,f32(Xh,Xs1,Xf1,Xs2,Xf2),f33(Xh,Xs1,Xf1,Xs2,Xf2))) != apply_to_two_arguments(Xf2,apply(Xh,f32(Xh,Xs1,Xf1,Xs2,Xf2)),apply(Xh,f33(Xh,Xs1,Xf1,Xs2,Xf2))) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SET004-0.ax view
@@ -0,0 +1,554 @@+%--------------------------------------------------------------------------+% File : SET004-0 : TPTP v7.2.0. Bugfixed v2.1.0.+% Domain : Set Theory+% Axioms : Set theory axioms based on NBG set theory+% Version : [Qua92] axioms.+% English :++% Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern+% Source : [Qua92]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 91 ( 8 non-Horn; 29 unit; 62 RR)+% Number of atoms : 181 ( 39 equality)+% Maximal clause size : 5 ( 2 average)+% Number of predicates : 10 ( 0 propositional; 1-3 arity)+% Number of functors : 38 ( 8 constant; 0-3 arity)+% Number of variables : 176 ( 25 singleton)+% Maximal term depth : 6 ( 2 average)+% SPC : ++% Comments :+% Bugfixes : v2.1.0 - Clause compatible4 fixed+%--------------------------------------------------------------------------+%----GROUP 1: AXIOMS AND BASIC DEFINITIONS.++%----Axiom A-1: sets are classes (omitted because all objects are+%----classes).++%----Definition of < (subclass).+%----a:x:a:y:((x < y) <=> a:u:((u e x) ==> (u e y))).+cnf(subclass_members,axiom,+ ( ~ subclass(X,Y)+ | ~ member(U,X)+ | member(U,Y) )).++cnf(not_subclass_members1,axiom,+ ( member(not_subclass_element(X,Y),X)+ | subclass(X,Y) )).++cnf(not_subclass_members2,axiom,+ ( ~ member(not_subclass_element(X,Y),Y)+ | subclass(X,Y) )).++%----Axiom A-2: elements of classes are sets.+%----a:x:(x < universal_class).+%----Singleton variables OK.+cnf(class_elements_are_sets,axiom,+ ( subclass(X,universal_class) )).++%----Axiom A-3: principle of extensionality.+%----a:x:a:y:((x = y) <=> (x < y) & (y < x)).+cnf(equal_implies_subclass1,axiom,+ ( X != Y+ | subclass(X,Y) )).++cnf(equal_implies_subclass2,axiom,+ ( X != Y+ | subclass(Y,X) )).++cnf(subclass_implies_equal,axiom,+ ( ~ subclass(X,Y)+ | ~ subclass(Y,X)+ | X = Y )).++%----Axiom A-4: existence of unordered pair.+%----a:u:a:x:a:y:((u e {x, y}) <=> (u e universal_class)+%----& (u = x | u = y)).+%----a:x:a:y:({x, y} e universal_class).+cnf(unordered_pair_member,axiom,+ ( ~ member(U,unordered_pair(X,Y))+ | U = X+ | U = Y )).++%----(x e universal_class), (u = x) --> (u e {x, y}).+%----Singleton variables OK.+cnf(unordered_pair2,axiom,+ ( ~ member(X,universal_class)+ | member(X,unordered_pair(X,Y)) )).++%----(y e universal_class), (u = y) --> (u e {x, y}).+%----Singleton variables OK.+cnf(unordered_pair3,axiom,+ ( ~ member(Y,universal_class)+ | member(Y,unordered_pair(X,Y)) )).++%----Singleton variables OK.+cnf(unordered_pairs_in_universal,axiom,+ ( member(unordered_pair(X,Y),universal_class) )).++%----Definition of singleton set.+%----a:x:({x} = {x, x}).+cnf(singleton_set,axiom,+ ( unordered_pair(X,X) = singleton(X) )).++%----See Theorem (SS6) for memb.++%----Definition of ordered pair.+%----a:x:a:y:([x,y] = {{x}, {x, {y}}}).+cnf(ordered_pair,axiom,+ ( unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) )).++%----Axiom B-5'a: Cartesian product.+%----a:u:a:v:a:y:(([u,v] e cross_product(x,y)) <=> (u e x) & (v e y)).+%----Singleton variables OK.+cnf(cartesian_product1,axiom,+ ( ~ member(ordered_pair(U,V),cross_product(X,Y))+ | member(U,X) )).++%----Singleton variables OK.+cnf(cartesian_product2,axiom,+ ( ~ member(ordered_pair(U,V),cross_product(X,Y))+ | member(V,Y) )).++cnf(cartesian_product3,axiom,+ ( ~ member(U,X)+ | ~ member(V,Y)+ | member(ordered_pair(U,V),cross_product(X,Y)) )).++%----See Theorem (OP6) for 1st and 2nd.++%----Axiom B-5'b: Cartesian product.+%----a:z:(z e cross_product(x,y) --> ([first(z),second(z)] = z)+%----Singleton variables OK.+cnf(cartesian_product4,axiom,+ ( ~ member(Z,cross_product(X,Y))+ | ordered_pair(first(Z),second(Z)) = Z )).++%----Axiom B-1: E (element relation).+%----(E < cross_product(universal_class,universal_class)).+%----a:x:a:y:(([x,y] e E) <=> ([x,y] e cross_product(universal_class,+%----universal_class)) (x e y)).+cnf(element_relation1,axiom,+ ( subclass(element_relation,cross_product(universal_class,universal_class)) )).++cnf(element_relation2,axiom,+ ( ~ member(ordered_pair(X,Y),element_relation)+ | member(X,Y) )).++cnf(element_relation3,axiom,+ ( ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))+ | ~ member(X,Y)+ | member(ordered_pair(X,Y),element_relation) )).++%----Axiom B-2: * (intersection).+%----a:z:a:x:a:y:((z e (x * y)) <=> (z e x) & (z e y)).+%----Singleton variables OK.+cnf(intersection1,axiom,+ ( ~ member(Z,intersection(X,Y))+ | member(Z,X) )).++%----Singleton variables OK.+cnf(intersection2,axiom,+ ( ~ member(Z,intersection(X,Y))+ | member(Z,Y) )).++cnf(intersection3,axiom,+ ( ~ member(Z,X)+ | ~ member(Z,Y)+ | member(Z,intersection(X,Y)) )).++%----Axiom B-3: complement.+%----a:z:a:x:((z e ~(x)) <=> (z e universal_class) & -(z e x)).+cnf(complement1,axiom,+ ( ~ member(Z,complement(X))+ | ~ member(Z,X) )).++cnf(complement2,axiom,+ ( ~ member(Z,universal_class)+ | member(Z,complement(X))+ | member(Z,X) )).++%---- Theorem (SP2) introduces the null class O.++%----Definition of + (union).+%----a:x:a:y:((x + y) = ~((~(x) * ~(y)))).+cnf(union,axiom,+ ( complement(intersection(complement(X),complement(Y))) = union(X,Y) )).++%----Definition of & (exclusive or). (= symmetric difference).+%----a:x:a:y:((x y) = (~(x * y) * ~(~(x) * ~(y)))).+cnf(symmetric_difference,axiom,+ ( intersection(complement(intersection(X,Y)),complement(intersection(complement(X),complement(Y)))) = symmetric_difference(X,Y) )).++%----Definition of restriction.+%----a:x(restrict(xr,x,y) = (xr * cross_product(x,y))).+%----This is extra to the paper+cnf(restriction1,axiom,+ ( intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) )).++cnf(restriction2,axiom,+ ( intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) )).++%----Axiom B-4: D (domain_of).+%----a:y:a:z:((z e domain_of(x)) <=> (z e universal_class) &+%---- -(restrict(x,{z},universal_class) = O)).+%----next is subsumed by A-2.+%------> (domain_of(x) < universal_class).+cnf(domain1,axiom,+ ( restrict(X,singleton(Z),universal_class) != null_class+ | ~ member(Z,domain_of(X)) )).++cnf(domain2,axiom,+ ( ~ member(Z,universal_class)+ | restrict(X,singleton(Z),universal_class) = null_class+ | member(Z,domain_of(X)) )).++%----Axiom B-7: rotate.+%----a:x:(rotate(x) < cross_product(cross_product(universal_class,+%----universal_class),universal_class)).+%----a:x:a:u:a:v:a:w:(([[u,v],w] e rotate(x)) <=> ([[u,v],w]]+%---- e cross_product(cross_product(universal_class,universal_class),+%----universal_class)) & ([[v,w],u]] e x).+%----Singleton variables OK.+cnf(rotate1,axiom,+ ( subclass(rotate(X),cross_product(cross_product(universal_class,universal_class),universal_class)) )).++cnf(rotate2,axiom,+ ( ~ member(ordered_pair(ordered_pair(U,V),W),rotate(X))+ | member(ordered_pair(ordered_pair(V,W),U),X) )).++cnf(rotate3,axiom,+ ( ~ member(ordered_pair(ordered_pair(V,W),U),X)+ | ~ member(ordered_pair(ordered_pair(U,V),W),cross_product(cross_product(universal_class,universal_class),universal_class))+ | member(ordered_pair(ordered_pair(U,V),W),rotate(X)) )).++%----Axiom B-8: flip.+%----a:x:(flip(x) < cross_product(cross_product(universal_class,+%----universal_class),universal_class)).+%----a:z:a:u:a:v:a:w:(([[u,v],w] e flip(x)) <=> ([[u,v],w]+%----e cross_product(cross_product(universal_class,universal_class),+%----universal_class)) & ([[v,u],w] e x).+%----Singleton variables OK.+cnf(flip1,axiom,+ ( subclass(flip(X),cross_product(cross_product(universal_class,universal_class),universal_class)) )).++cnf(flip2,axiom,+ ( ~ member(ordered_pair(ordered_pair(U,V),W),flip(X))+ | member(ordered_pair(ordered_pair(V,U),W),X) )).++cnf(flip3,axiom,+ ( ~ member(ordered_pair(ordered_pair(V,U),W),X)+ | ~ member(ordered_pair(ordered_pair(U,V),W),cross_product(cross_product(universal_class,universal_class),universal_class))+ | member(ordered_pair(ordered_pair(U,V),W),flip(X)) )).++%----Definition of inverse.+%----a:y:(inverse(y) = domain_of(flip(cross_product(y,V)))).+cnf(inverse,axiom,+ ( domain_of(flip(cross_product(Y,universal_class))) = inverse(Y) )).++%----Definition of R (range_of).+%----a:z:(range_of(z) = domain_of(inverse(z))).+cnf(range_of,axiom,+ ( domain_of(inverse(Z)) = range_of(Z) )).++%----Definition of domain.+%----a:z:a:x:a:y:(domain(z,x,y) = first(notsub(restrict(z,x,{y}),O))).+cnf(domain,axiom,+ ( first(not_subclass_element(restrict(Z,X,singleton(Y)),null_class)) = domain(Z,X,Y) )).++%----Definition of range.+%----a:z:a:x:(range(z,x,y) = second(notsub(restrict(z,{x},y),O))).+cnf(range,axiom,+ ( second(not_subclass_element(restrict(Z,singleton(X),Y),null_class)) = range(Z,X,Y) )).++%----Definition of image.+%----a:x:a:xr:((xr image x) = range_of(restrict(xr,x,V))).+cnf(image,axiom,+ ( range_of(restrict(Xr,X,universal_class)) = image(Xr,X) )).++%----Definition of successor.+%----a:x:(successor(x) = (x + {x})).+cnf(successor,axiom,+ ( union(X,singleton(X)) = successor(X) )).++%----Explicit definition of successor_relation.+%------> ((cross_product(V,V) * ~(((E ^ ~(inverse((E + I)))) ++%----(~(E) ^ inverse((E + I)))))) = successor_relation).+%----Definition of successor_relation from the Class Existence Theorem.+%----a:x:a:y:([x,y] e successor_relation <=> x e V & successor(x) = y).+%----The above FOF does not agree with the book+cnf(successor_relation1,axiom,+ ( subclass(successor_relation,cross_product(universal_class,universal_class)) )).++cnf(successor_relation2,axiom,+ ( ~ member(ordered_pair(X,Y),successor_relation)+ | successor(X) = Y )).++%----This is what's in the book and paper. Does not change axiom.+% input_clause(successor_relation3,axiom,+% [--equal(successor(X),Y),+% --member(X,universal_class),+% ++member(ordered_pair(X,Y),successor_relation)]).++%----This is what I got by email from Quaife+cnf(successor_relation3,axiom,+ ( successor(X) != Y+ | ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))+ | member(ordered_pair(X,Y),successor_relation) )).++%----Definition of inductive a:x:(inductive(x) <=> null_class+%----e x & (successor_relation image x) < x)).+cnf(inductive1,axiom,+ ( ~ inductive(X)+ | member(null_class,X) )).++cnf(inductive2,axiom,+ ( ~ inductive(X)+ | subclass(image(successor_relation,X),X) )).++cnf(inductive3,axiom,+ ( ~ member(null_class,X)+ | ~ subclass(image(successor_relation,X),X)+ | inductive(X) )).++%----Axiom C-1: infinity.+%----e:x:((x e V) & inductive(x) & a:y:(inductive(y) ==> (x < y))).+%----e:x:((x e V) & (O e x) & ((successor_relation image x) < x)+%---- & a:y:((O e y) & ((successor_relation image y) < y) ==>+%----(x < y))).+cnf(omega_is_inductive1,axiom,+ ( inductive(omega) )).++cnf(omega_is_inductive2,axiom,+ ( ~ inductive(Y)+ | subclass(omega,Y) )).++cnf(omega_in_universal,axiom,+ ( member(omega,universal_class) )).++%----These were commented out in the set Quaife sent me, and are not+%----in the paper true --> (null_class e omega).+%----true --> ((successor_relation image omega) < omega).+%----(null_class e y), ((successor_relation image y) < y) -->+%----(omega < y). true --> (omega e universal_class).++%----Definition of U (sum class).+%----a:x:(sum_class(x) = domain_of(restrict(E,V,x))).+cnf(sum_class_definition,axiom,+ ( domain_of(restrict(element_relation,universal_class,X)) = sum_class(X) )).++%----Axiom C-2: U (sum class).+%----a:x:((x e V) ==> (sum_class(x) e V)).+cnf(sum_class2,axiom,+ ( ~ member(X,universal_class)+ | member(sum_class(X),universal_class) )).++%----Definition of P (power class).+%----a:x:(power_class(x) = ~((E image ~(x)))).+cnf(power_class_definition,axiom,+ ( complement(image(element_relation,complement(X))) = power_class(X) )).++%----Axiom C-3: P (power class).+%----a:u:((u e V) ==> (power_class(u) e V)).+cnf(power_class2,axiom,+ ( ~ member(U,universal_class)+ | member(power_class(U),universal_class) )).++%----Definition of compose.+%----a:xr:a:yr:((yr ^ xr) < cross_product(V,V)).+%----a:u:a:v:a:xr:a:yr:(([u,v] e (yr ^ xr)) <=> ([u,v]+%----e cross_product(V,V)) & (v e (yr image (xr image {u})))).+%----Singleton variables OK.+cnf(compose1,axiom,+ ( subclass(compose(Yr,Xr),cross_product(universal_class,universal_class)) )).++cnf(compose2,axiom,+ ( ~ member(ordered_pair(Y,Z),compose(Yr,Xr))+ | member(Z,image(Yr,image(Xr,singleton(Y)))) )).++cnf(compose3,axiom,+ ( ~ member(Z,image(Yr,image(Xr,singleton(Y))))+ | ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))+ | member(ordered_pair(Y,Z),compose(Yr,Xr)) )).++%----7/21/90 eliminate SINGVAL and just use FUNCTION.+%----Not eliminated in TPTP - I'm following the paper+cnf(single_valued_class1,axiom,+ ( ~ single_valued_class(X)+ | subclass(compose(X,inverse(X)),identity_relation) )).++cnf(single_valued_class2,axiom,+ ( ~ subclass(compose(X,inverse(X)),identity_relation)+ | single_valued_class(X) )).++%----Definition of function.+%----a:xf:(function(xf) <=> (xf < cross_product(V,V)) & ((xf+%----^ inverse(xf)) < identity_relation)).+cnf(function1,axiom,+ ( ~ function(Xf)+ | subclass(Xf,cross_product(universal_class,universal_class)) )).++cnf(function2,axiom,+ ( ~ function(Xf)+ | subclass(compose(Xf,inverse(Xf)),identity_relation) )).++cnf(function3,axiom,+ ( ~ subclass(Xf,cross_product(universal_class,universal_class))+ | ~ subclass(compose(Xf,inverse(Xf)),identity_relation)+ | function(Xf) )).++%----Axiom C-4: replacement.+%----a:x:((x e V) & function(xf) ==> ((xf image x) e V)).+cnf(replacement,axiom,+ ( ~ function(Xf)+ | ~ member(X,universal_class)+ | member(image(Xf,X),universal_class) )).++%----Axiom D: regularity.+%----a:x:(-(x = O) ==> e:u:((u e V) & (u e x) & ((u * x) = O))).+cnf(regularity1,axiom,+ ( X = null_class+ | member(regular(X),X) )).++cnf(regularity2,axiom,+ ( X = null_class+ | intersection(X,regular(X)) = null_class )).++%----Definition of apply (apply).+%----a:xf:a:y:((xf apply y) = sum_class((xf image {y}))).+cnf(apply,axiom,+ ( sum_class(image(Xf,singleton(Y))) = apply(Xf,Y) )).++%----Axiom E: universal choice.+%----e:xf:(function(xf) & a:y:((y e V) ==> (y = null_class) |+%----((xf apply y) e y))).+cnf(choice1,axiom,+ ( function(choice) )).++cnf(choice2,axiom,+ ( ~ member(Y,universal_class)+ | Y = null_class+ | member(apply(choice,Y),Y) )).++%----GROUP 2: MORE SET THEORY DEFINITIONS.++%----Definition of one_to_one (one-to-one function).+%----a:xf:(one_to_one(xf) <=> function(xf) & function(inverse(xf))).+cnf(one_to_one1,axiom,+ ( ~ one_to_one(Xf)+ | function(Xf) )).++cnf(one_to_one2,axiom,+ ( ~ one_to_one(Xf)+ | function(inverse(Xf)) )).++cnf(one_to_one3,axiom,+ ( ~ function(inverse(Xf))+ | ~ function(Xf)+ | one_to_one(Xf) )).++%----Definition of S (subset relation).+cnf(subset_relation,axiom,+ ( intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation )).++%----Definition of I (identity relation).+cnf(identity_relation,axiom,+ ( intersection(inverse(subset_relation),subset_relation) = identity_relation )).++%----Definition of diagonalization.+%----a:xr:(diagonalise(xr) = ~(domain_of((identity_relation * xr)))).+cnf(diagonalisation,axiom,+ ( complement(domain_of(intersection(Xr,identity_relation))) = diagonalise(Xr) )).++%----Definition of Cantor class.+cnf(cantor_class,axiom,+ ( intersection(domain_of(X),diagonalise(compose(inverse(element_relation),X))) = cantor(X) )).++%----Definition of operation.+%----a:xf:(operation(xf) <=> function(xf) & (cross_product(domain_of(+%----domain_of(xf)),domain_of(domain_of(xf))) = domain_of(xf))+%----& (range_of(xf) < domain_of(domain_of(xf))).+cnf(operation1,axiom,+ ( ~ operation(Xf)+ | function(Xf) )).++cnf(operation2,axiom,+ ( ~ operation(Xf)+ | cross_product(domain_of(domain_of(Xf)),domain_of(domain_of(Xf))) = domain_of(Xf) )).++cnf(operation3,axiom,+ ( ~ operation(Xf)+ | subclass(range_of(Xf),domain_of(domain_of(Xf))) )).++cnf(operation4,axiom,+ ( ~ function(Xf)+ | cross_product(domain_of(domain_of(Xf)),domain_of(domain_of(Xf))) != domain_of(Xf)+ | ~ subclass(range_of(Xf),domain_of(domain_of(Xf)))+ | operation(Xf) )).++%----Definition of compatible.+%----a:xh:a:xf1:a:af2: (compatible(xh,xf1,xf2) <=> function(xh)+%----& (domain_of(domain_of(xf1)) = domain_of(xh)) & (range_of(xh)+%----< domain_of(domain_of(xf2)))).+%----Singleton variables OK.+cnf(compatible1,axiom,+ ( ~ compatible(Xh,Xf1,Xf2)+ | function(Xh) )).++%----Singleton variables OK.+cnf(compatible2,axiom,+ ( ~ compatible(Xh,Xf1,Xf2)+ | domain_of(domain_of(Xf1)) = domain_of(Xh) )).++%----Singleton variables OK.+cnf(compatible3,axiom,+ ( ~ compatible(Xh,Xf1,Xf2)+ | subclass(range_of(Xh),domain_of(domain_of(Xf2))) )).++cnf(compatible4,axiom,+ ( ~ function(Xh)+ | domain_of(domain_of(Xf1)) != domain_of(Xh)+ | ~ subclass(range_of(Xh),domain_of(domain_of(Xf2)))+ | compatible(Xh,Xf1,Xf2) )).++%----Definition of homomorphism.+%----a:xh:a:xf1:a:xf2: (homomorphism(xh,xf1,xf2) <=>+%---- operation(xf1) & operation(xf2) & compatible(xh,xf1,xf2) &+%---- a:x:a:y:(([x,y] e domain_of(xf1)) ==> (((xf2 apply [(xh apply x),+%----(xh apply y)]) = (xh apply (xf1 apply [x,y])))).+%----Singleton variables OK.+cnf(homomorphism1,axiom,+ ( ~ homomorphism(Xh,Xf1,Xf2)+ | operation(Xf1) )).++%----Singleton variables OK.+cnf(homomorphism2,axiom,+ ( ~ homomorphism(Xh,Xf1,Xf2)+ | operation(Xf2) )).++cnf(homomorphism3,axiom,+ ( ~ homomorphism(Xh,Xf1,Xf2)+ | compatible(Xh,Xf1,Xf2) )).++cnf(homomorphism4,axiom,+ ( ~ homomorphism(Xh,Xf1,Xf2)+ | ~ member(ordered_pair(X,Y),domain_of(Xf1))+ | apply(Xf2,ordered_pair(apply(Xh,X),apply(Xh,Y))) = apply(Xh,apply(Xf1,ordered_pair(X,Y))) )).++cnf(homomorphism5,axiom,+ ( ~ operation(Xf1)+ | ~ operation(Xf2)+ | ~ compatible(Xh,Xf1,Xf2)+ | member(ordered_pair(not_homomorphism1(Xh,Xf1,Xf2),not_homomorphism2(Xh,Xf1,Xf2)),domain_of(Xf1))+ | homomorphism(Xh,Xf1,Xf2) )).++cnf(homomorphism6,axiom,+ ( ~ operation(Xf1)+ | ~ operation(Xf2)+ | ~ compatible(Xh,Xf1,Xf2)+ | apply(Xf2,ordered_pair(apply(Xh,not_homomorphism1(Xh,Xf1,Xf2)),apply(Xh,not_homomorphism2(Xh,Xf1,Xf2)))) != apply(Xh,apply(Xf1,ordered_pair(not_homomorphism1(Xh,Xf1,Xf2),not_homomorphism2(Xh,Xf1,Xf2))))+ | homomorphism(Xh,Xf1,Xf2) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SET004-1.ax view
@@ -0,0 +1,120 @@+%--------------------------------------------------------------------------+% File : SET004-1 : TPTP v7.2.0. Bugfixed v1.0.1.+% Domain : Set Theory (Boolean Algebra definitions)+% Axioms : Set theory (Boolean algebra) axioms based on NBG set theory+% Version : [Qua92a] axioms.+% English :++% Refs : [Qua92a] Quaife (1992), Automated Deduction in von Neumann-Bern+% : [Qua92b] Quaife (1992), Email to G. Sutcliffe+% Source : [Qua92b]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 21 ( 0 non-Horn; 8 unit; 17 RR)+% Number of atoms : 37 ( 10 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 5 ( 0 propositional; 1-3 arity)+% Number of functors : 26 ( 7 constant; 0-3 arity)+% Number of variables : 38 ( 7 singleton)+% Maximal term depth : 5 ( 2 average)+% SPC : ++% Comments : Requires SET004-0.ax+% : Not all of these definitions appear in [Qua92a]. Some were+% extracted from [Qua92b]+% Bugfixes : v1.0.1 - Duplicate axioms single_valued_term_defn? removed.+%--------------------------------------------------------------------------+%----(CO25DEF): Definition of compose_class(x) term, where x may+%----be a class. Not in [Quaife, 1992].+cnf(compose_class_definition1,axiom,+ ( subclass(compose_class(X),cross_product(universal_class,universal_class)) )).++cnf(compose_class_definition2,axiom,+ ( ~ member(ordered_pair(Y,Z),compose_class(X))+ | compose(X,Y) = Z )).++cnf(compose_class_definition3,axiom,+ ( ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))+ | compose(X,Y) != Z+ | member(ordered_pair(Y,Z),compose_class(X)) )).++%----(CO20DEF): Definition of composition_function. Not in [Quaife,+%----1992].+cnf(definition_of_composition_function1,axiom,+ ( subclass(composition_function,cross_product(universal_class,cross_product(universal_class,universal_class))) )).++cnf(definition_of_composition_function2,axiom,+ ( ~ member(ordered_pair(X,ordered_pair(Y,Z)),composition_function)+ | compose(X,Y) = Z )).++cnf(definition_of_composition_function3,axiom,+ ( ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))+ | member(ordered_pair(X,ordered_pair(Y,compose(X,Y))),composition_function) )).++%----(DODEF11): Definition of domain_relation by the class existence+%----theorem. Not in [Quaife, 19992].+cnf(definition_of_domain_relation1,axiom,+ ( subclass(domain_relation,cross_product(universal_class,universal_class)) )).++cnf(definition_of_domain_relation2,axiom,+ ( ~ member(ordered_pair(X,Y),domain_relation)+ | domain_of(X) = Y )).++cnf(definition_of_domain_relation3,axiom,+ ( ~ member(X,universal_class)+ | member(ordered_pair(X,domain_of(X)),domain_relation) )).++%----(SV2DEF) Definitions of terms for (SV3) Called FU2DEF in Quaife's+%----email+cnf(single_valued_term_defn1,axiom,+ ( first(not_subclass_element(compose(X,inverse(X)),identity_relation)) = single_valued1(X) )).++cnf(single_valued_term_defn2,axiom,+ ( second(not_subclass_element(compose(X,inverse(X)),identity_relation)) = single_valued2(X) )).++cnf(single_valued_term_defn3,axiom,+ ( domain(X,image(inverse(X),singleton(single_valued1(X))),single_valued2(X)) = single_valued3(X) )).++%----(CO14DEF): Definition of singleton relation.+cnf(compose_can_define_singleton,axiom,+ ( intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation )).++%----(AP15): definition of application function. Not in [Qua92]+cnf(application_function_defn1,axiom,+ ( subclass(application_function,cross_product(universal_class,cross_product(universal_class,universal_class))) )).++cnf(application_function_defn2,axiom,+ ( ~ member(ordered_pair(X,ordered_pair(Y,Z)),application_function)+ | member(Y,domain_of(X)) )).++cnf(application_function_defn3,axiom,+ ( ~ member(ordered_pair(X,ordered_pair(Y,Z)),application_function)+ | apply(X,Y) = Z )).++cnf(application_function_defn4,axiom,+ ( ~ member(ordered_pair(X,ordered_pair(Y,Z)),cross_product(universal_class,cross_product(universal_class,universal_class)))+ | ~ member(Y,domain_of(X))+ | member(ordered_pair(X,ordered_pair(Y,apply(X,Y))),application_function) )).++%----Definition of maps. Not in [Qua92].+%----a:xf:a:x:a:y:(maps(xf,x,y) <=> function(xf) & domain(xf)+%----= x & range(xf) < y).+cnf(maps1,axiom,+ ( ~ maps(Xf,X,Y)+ | function(Xf) )).++cnf(maps2,axiom,+ ( ~ maps(Xf,X,Y)+ | domain_of(Xf) = X )).++cnf(maps3,axiom,+ ( ~ maps(Xf,X,Y)+ | subclass(range_of(Xf),Y) )).++cnf(maps4,axiom,+ ( ~ function(Xf)+ | ~ subclass(range_of(Xf),Y)+ | maps(Xf,domain_of(Xf),Y) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SWC001-0.ax view
@@ -0,0 +1,999 @@+%--------------------------------------------------------------------------+% File : SWC001-0 : TPTP v7.2.0. Released v2.4.0.+% Domain : Software Creation+% Axioms : List specification+% Version : [Wei00] axioms.+% English : Components in a software library specified in first-order logic++% Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve+% : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 185 ( 33 non-Horn; 54 unit; 142 RR)+% Number of atoms : 604 ( 98 equality)+% Maximal clause size : 10 ( 3 average)+% Number of predicates : 20 ( 0 propositional; 1-2 arity)+% Number of functors : 49 ( 3 constant; 0-2 arity)+% Number of variables : 326 ( 49 singleton)+% Maximal term depth : 5 ( 1 average)+% SPC : ++% Comments : Created from SWC001+1.ax using FLOTTER+%--------------------------------------------------------------------------+cnf(clause1,axiom,+ ( equalelemsP(nil) )).++cnf(clause2,axiom,+ ( duplicatefreeP(nil) )).++cnf(clause3,axiom,+ ( strictorderedP(nil) )).++cnf(clause4,axiom,+ ( totalorderedP(nil) )).++cnf(clause5,axiom,+ ( strictorderP(nil) )).++cnf(clause6,axiom,+ ( totalorderP(nil) )).++cnf(clause7,axiom,+ ( cyclefreeP(nil) )).++cnf(clause8,axiom,+ ( ssList(nil) )).++cnf(clause9,axiom,+ ( ssItem(skac3) )).++cnf(clause10,axiom,+ ( ssItem(skac2) )).++cnf(clause11,axiom,+ ( ~ singletonP(nil) )).++cnf(clause12,axiom,+ ( ssItem(skaf83(U)) )).++cnf(clause13,axiom,+ ( ssList(skaf82(U)) )).++cnf(clause14,axiom,+ ( ssList(skaf81(U)) )).++cnf(clause15,axiom,+ ( ssList(skaf80(U)) )).++cnf(clause16,axiom,+ ( ssItem(skaf79(U)) )).++cnf(clause17,axiom,+ ( ssItem(skaf78(U)) )).++cnf(clause18,axiom,+ ( ssList(skaf77(U)) )).++cnf(clause19,axiom,+ ( ssList(skaf76(U)) )).++cnf(clause20,axiom,+ ( ssList(skaf75(U)) )).++cnf(clause21,axiom,+ ( ssItem(skaf74(U)) )).++cnf(clause22,axiom,+ ( ssList(skaf73(U)) )).++cnf(clause23,axiom,+ ( ssList(skaf72(U)) )).++cnf(clause24,axiom,+ ( ssList(skaf71(U)) )).++cnf(clause25,axiom,+ ( ssItem(skaf70(U)) )).++cnf(clause26,axiom,+ ( ssItem(skaf69(U)) )).++cnf(clause27,axiom,+ ( ssList(skaf68(U)) )).++cnf(clause28,axiom,+ ( ssList(skaf67(U)) )).++cnf(clause29,axiom,+ ( ssList(skaf66(U)) )).++cnf(clause30,axiom,+ ( ssItem(skaf65(U)) )).++cnf(clause31,axiom,+ ( ssItem(skaf64(U)) )).++cnf(clause32,axiom,+ ( ssList(skaf63(U)) )).++cnf(clause33,axiom,+ ( ssList(skaf62(U)) )).++cnf(clause34,axiom,+ ( ssList(skaf61(U)) )).++cnf(clause35,axiom,+ ( ssItem(skaf60(U)) )).++cnf(clause36,axiom,+ ( ssItem(skaf59(U)) )).++cnf(clause37,axiom,+ ( ssList(skaf58(U)) )).++cnf(clause38,axiom,+ ( ssList(skaf57(U)) )).++cnf(clause39,axiom,+ ( ssList(skaf56(U)) )).++cnf(clause40,axiom,+ ( ssItem(skaf55(U)) )).++cnf(clause41,axiom,+ ( ssItem(skaf54(U)) )).++cnf(clause42,axiom,+ ( ssList(skaf53(U)) )).++cnf(clause43,axiom,+ ( ssList(skaf52(U)) )).++cnf(clause44,axiom,+ ( ssList(skaf51(U)) )).++cnf(clause45,axiom,+ ( ssItem(skaf50(U)) )).++cnf(clause46,axiom,+ ( ssItem(skaf49(U)) )).++cnf(clause47,axiom,+ ( ssItem(skaf44(U)) )).++cnf(clause48,axiom,+ ( ssList(skaf48(U,V)) )).++cnf(clause49,axiom,+ ( ssList(skaf47(U,V)) )).++cnf(clause50,axiom,+ ( ssList(skaf46(U,V)) )).++cnf(clause51,axiom,+ ( ssList(skaf45(U,V)) )).++cnf(clause52,axiom,+ ( ssList(skaf43(U,V)) )).++cnf(clause53,axiom,+ ( ssList(skaf42(U,V)) )).++cnf(clause54,axiom,+ ( skac3 != skac2 )).++cnf(clause55,axiom,+ ( ~ ssItem(U)+ | geq(U,U) )).++cnf(clause56,axiom,+ ( ~ ssList(U)+ | segmentP(U,nil) )).++cnf(clause57,axiom,+ ( ~ ssList(U)+ | segmentP(U,U) )).++cnf(clause58,axiom,+ ( ~ ssList(U)+ | rearsegP(U,nil) )).++cnf(clause59,axiom,+ ( ~ ssList(U)+ | rearsegP(U,U) )).++cnf(clause60,axiom,+ ( ~ ssList(U)+ | frontsegP(U,nil) )).++cnf(clause61,axiom,+ ( ~ ssList(U)+ | frontsegP(U,U) )).++cnf(clause62,axiom,+ ( ~ ssItem(U)+ | leq(U,U) )).++cnf(clause63,axiom,+ ( ~ lt(U,U)+ | ~ ssItem(U) )).++cnf(clause64,axiom,+ ( ~ ssItem(U)+ | equalelemsP(cons(U,nil)) )).++cnf(clause65,axiom,+ ( ~ ssItem(U)+ | duplicatefreeP(cons(U,nil)) )).++cnf(clause66,axiom,+ ( ~ ssItem(U)+ | strictorderedP(cons(U,nil)) )).++cnf(clause67,axiom,+ ( ~ ssItem(U)+ | totalorderedP(cons(U,nil)) )).++cnf(clause68,axiom,+ ( ~ ssItem(U)+ | strictorderP(cons(U,nil)) )).++cnf(clause69,axiom,+ ( ~ ssItem(U)+ | totalorderP(cons(U,nil)) )).++cnf(clause70,axiom,+ ( ~ ssItem(U)+ | cyclefreeP(cons(U,nil)) )).++cnf(clause71,axiom,+ ( ~ memberP(nil,U)+ | ~ ssItem(U) )).++cnf(clause72,axiom,+ ( ~ ssList(U)+ | duplicatefreeP(U)+ | ssItem(V) )).++cnf(clause73,axiom,+ ( ~ ssList(U)+ | app(U,nil) = U )).++cnf(clause74,axiom,+ ( ~ ssList(U)+ | app(nil,U) = U )).++cnf(clause75,axiom,+ ( ~ ssList(U)+ | ssList(tl(U))+ | nil = U )).++cnf(clause76,axiom,+ ( ~ ssList(U)+ | ssItem(hd(U))+ | nil = U )).++cnf(clause77,axiom,+ ( ~ ssList(U)+ | ssList(tl(U))+ | nil = U )).++cnf(clause78,axiom,+ ( ~ ssList(U)+ | ssItem(hd(U))+ | nil = U )).++cnf(clause79,axiom,+ ( nil != U+ | ~ ssList(U)+ | segmentP(nil,U) )).++cnf(clause80,axiom,+ ( ~ segmentP(nil,U)+ | ~ ssList(U)+ | nil = U )).++cnf(clause81,axiom,+ ( nil != U+ | ~ ssList(U)+ | rearsegP(nil,U) )).++cnf(clause82,axiom,+ ( ~ rearsegP(nil,U)+ | ~ ssList(U)+ | nil = U )).++cnf(clause83,axiom,+ ( nil != U+ | ~ ssList(U)+ | frontsegP(nil,U) )).++cnf(clause84,axiom,+ ( ~ frontsegP(nil,U)+ | ~ ssList(U)+ | nil = U )).++cnf(clause85,axiom,+ ( ~ ssList(U)+ | ~ ssList(V)+ | ssList(app(V,U)) )).++cnf(clause86,axiom,+ ( ~ ssItem(U)+ | ~ ssList(V)+ | ssList(cons(U,V)) )).++cnf(clause87,axiom,+ ( ~ ssList(U)+ | cyclefreeP(U)+ | leq(skaf50(U),skaf49(U)) )).++cnf(clause88,axiom,+ ( ~ ssList(U)+ | cyclefreeP(U)+ | leq(skaf49(U),skaf50(U)) )).++cnf(clause89,axiom,+ ( skaf79(U) != skaf78(U)+ | ~ ssList(U)+ | equalelemsP(U) )).++cnf(clause90,axiom,+ ( ~ lt(skaf69(U),skaf70(U))+ | ~ ssList(U)+ | strictorderedP(U) )).++cnf(clause91,axiom,+ ( ~ leq(skaf64(U),skaf65(U))+ | ~ ssList(U)+ | totalorderedP(U) )).++cnf(clause92,axiom,+ ( ~ lt(skaf60(U),skaf59(U))+ | ~ ssList(U)+ | strictorderP(U) )).++cnf(clause93,axiom,+ ( ~ lt(skaf59(U),skaf60(U))+ | ~ ssList(U)+ | strictorderP(U) )).++cnf(clause94,axiom,+ ( ~ leq(skaf55(U),skaf54(U))+ | ~ ssList(U)+ | totalorderP(U) )).++cnf(clause95,axiom,+ ( ~ leq(skaf54(U),skaf55(U))+ | ~ ssList(U)+ | totalorderP(U) )).++cnf(clause96,axiom,+ ( ~ ssItem(U)+ | ~ ssList(V)+ | tl(cons(U,V)) = V )).++cnf(clause97,axiom,+ ( ~ ssItem(U)+ | ~ ssList(V)+ | hd(cons(U,V)) = U )).++cnf(clause98,axiom,+ ( cons(U,V) != nil+ | ~ ssItem(U)+ | ~ ssList(V) )).++cnf(clause99,axiom,+ ( cons(U,V) != V+ | ~ ssItem(U)+ | ~ ssList(V) )).++cnf(clause100,axiom,+ ( ~ ssList(U)+ | ~ ssList(V)+ | neq(V,U)+ | V = U )).++cnf(clause101,axiom,+ ( ~ singletonP(U)+ | ~ ssList(U)+ | cons(skaf44(U),nil) = U )).++cnf(clause102,axiom,+ ( ~ ssItem(U)+ | ~ ssItem(V)+ | neq(V,U)+ | V = U )).++cnf(clause103,axiom,+ ( ~ lt(U,V)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | leq(U,V) )).++cnf(clause104,axiom,+ ( ~ ssList(U)+ | cons(hd(U),tl(U)) = U+ | nil = U )).++cnf(clause105,axiom,+ ( ~ gt(U,V)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | lt(V,U) )).++cnf(clause106,axiom,+ ( ~ lt(U,V)+ | ~ ssItem(U)+ | ~ ssItem(V)+ | gt(V,U) )).++cnf(clause107,axiom,+ ( ~ geq(U,V)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | leq(V,U) )).++cnf(clause108,axiom,+ ( ~ leq(U,V)+ | ~ ssItem(U)+ | ~ ssItem(V)+ | geq(V,U) )).++cnf(clause109,axiom,+ ( ~ ssList(U)+ | cons(skaf83(U),skaf82(U)) = U+ | nil = U )).++cnf(clause110,axiom,+ ( ~ gt(U,V)+ | ~ gt(V,U)+ | ~ ssItem(U)+ | ~ ssItem(V) )).++cnf(clause111,axiom,+ ( U != V+ | ~ lt(U,V)+ | ~ ssItem(V)+ | ~ ssItem(U) )).++cnf(clause112,axiom,+ ( nil != U+ | ~ ssList(U)+ | ~ ssItem(V)+ | strictorderedP(cons(V,U)) )).++cnf(clause113,axiom,+ ( nil != U+ | ~ ssList(U)+ | ~ ssItem(V)+ | totalorderedP(cons(V,U)) )).++cnf(clause114,axiom,+ ( ~ lt(U,V)+ | ~ lt(V,U)+ | ~ ssItem(U)+ | ~ ssItem(V) )).++cnf(clause115,axiom,+ ( U != V+ | ~ neq(U,V)+ | ~ ssList(V)+ | ~ ssList(U) )).++cnf(clause116,axiom,+ ( cons(U,nil) != V+ | ~ ssItem(U)+ | ~ ssList(V)+ | singletonP(V) )).++cnf(clause117,axiom,+ ( U != V+ | ~ neq(U,V)+ | ~ ssItem(V)+ | ~ ssItem(U) )).++cnf(clause118,axiom,+ ( app(U,V) != nil+ | ~ ssList(V)+ | ~ ssList(U)+ | nil = U )).++cnf(clause119,axiom,+ ( app(U,V) != nil+ | ~ ssList(V)+ | ~ ssList(U)+ | nil = V )).++cnf(clause120,axiom,+ ( ~ ssItem(U)+ | ~ ssList(V)+ | app(cons(U,nil),V) = cons(U,V) )).++cnf(clause121,axiom,+ ( ~ leq(U,V)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | lt(U,V)+ | U = V )).++cnf(clause122,axiom,+ ( ~ leq(U,V)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | lt(U,V)+ | U = V )).++cnf(clause123,axiom,+ ( ~ ssList(U)+ | ~ ssList(V)+ | nil = V+ | hd(app(V,U)) = hd(V) )).++cnf(clause124,axiom,+ ( ~ strictorderedP(cons(U,V))+ | ~ ssList(V)+ | ~ ssItem(U)+ | strictorderedP(V)+ | nil = V )).++cnf(clause125,axiom,+ ( ~ totalorderedP(cons(U,V))+ | ~ ssList(V)+ | ~ ssItem(U)+ | totalorderedP(V)+ | nil = V )).++cnf(clause126,axiom,+ ( ~ geq(U,V)+ | ~ geq(V,U)+ | ~ ssItem(U)+ | ~ ssItem(V)+ | V = U )).++cnf(clause127,axiom,+ ( ~ segmentP(U,V)+ | ~ segmentP(V,U)+ | ~ ssList(U)+ | ~ ssList(V)+ | V = U )).++cnf(clause128,axiom,+ ( ~ rearsegP(U,V)+ | ~ rearsegP(V,U)+ | ~ ssList(U)+ | ~ ssList(V)+ | V = U )).++cnf(clause129,axiom,+ ( ~ frontsegP(U,V)+ | ~ frontsegP(V,U)+ | ~ ssList(U)+ | ~ ssList(V)+ | V = U )).++cnf(clause130,axiom,+ ( ~ leq(U,V)+ | ~ leq(V,U)+ | ~ ssItem(U)+ | ~ ssItem(V)+ | V = U )).++cnf(clause131,axiom,+ ( ~ rearsegP(U,V)+ | ~ ssList(V)+ | ~ ssList(U)+ | app(skaf46(U,V),V) = U )).++cnf(clause132,axiom,+ ( ~ frontsegP(U,V)+ | ~ ssList(V)+ | ~ ssList(U)+ | app(V,skaf45(U,V)) = U )).++cnf(clause133,axiom,+ ( ~ ssList(U)+ | ~ ssList(V)+ | nil = V+ | tl(app(V,U)) = app(tl(V),U) )).++cnf(clause134,axiom,+ ( ~ strictorderedP(cons(U,V))+ | ~ ssList(V)+ | ~ ssItem(U)+ | lt(U,hd(V))+ | nil = V )).++cnf(clause135,axiom,+ ( ~ totalorderedP(cons(U,V))+ | ~ ssList(V)+ | ~ ssItem(U)+ | leq(U,hd(V))+ | nil = V )).++cnf(clause136,axiom,+ ( ~ rearsegP(U,V)+ | ~ ssList(W)+ | ~ ssList(V)+ | ~ ssList(U)+ | rearsegP(app(W,U),V) )).++cnf(clause137,axiom,+ ( ~ frontsegP(U,V)+ | ~ ssList(W)+ | ~ ssList(V)+ | ~ ssList(U)+ | frontsegP(app(U,W),V) )).++cnf(clause138,axiom,+ ( U != V+ | ~ ssList(W)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | memberP(cons(V,W),U) )).++cnf(clause139,axiom,+ ( ~ memberP(U,V)+ | ~ ssList(U)+ | ~ ssItem(W)+ | ~ ssItem(V)+ | memberP(cons(W,U),V) )).++cnf(clause140,axiom,+ ( ~ memberP(U,V)+ | ~ ssList(W)+ | ~ ssList(U)+ | ~ ssItem(V)+ | memberP(app(U,W),V) )).++cnf(clause141,axiom,+ ( ~ memberP(U,V)+ | ~ ssList(U)+ | ~ ssList(W)+ | ~ ssItem(V)+ | memberP(app(W,U),V) )).++cnf(clause142,axiom,+ ( ~ ssList(U)+ | equalelemsP(U)+ | app(skaf80(U),cons(skaf78(U),cons(skaf79(U),skaf81(U)))) = U )).++cnf(clause143,axiom,+ ( app(U,V) != W+ | ~ ssList(U)+ | ~ ssList(V)+ | ~ ssList(W)+ | rearsegP(W,V) )).++cnf(clause144,axiom,+ ( app(U,V) != W+ | ~ ssList(V)+ | ~ ssList(U)+ | ~ ssList(W)+ | frontsegP(W,U) )).++cnf(clause145,axiom,+ ( nil != U+ | nil != V+ | ~ ssList(V)+ | ~ ssList(U)+ | app(U,V) = nil )).++cnf(clause146,axiom,+ ( ~ gt(U,V)+ | ~ gt(V,W)+ | ~ ssItem(W)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | gt(U,W) )).++cnf(clause147,axiom,+ ( ~ leq(U,V)+ | ~ lt(V,W)+ | ~ ssItem(W)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | lt(U,W) )).++cnf(clause148,axiom,+ ( ~ geq(U,V)+ | ~ geq(V,W)+ | ~ ssItem(W)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | geq(U,W) )).++cnf(clause149,axiom,+ ( ~ ssList(U)+ | ~ ssList(V)+ | ~ ssList(W)+ | app(app(W,V),U) = app(W,app(V,U)) )).++cnf(clause150,axiom,+ ( app(U,V) != app(U,W)+ | ~ ssList(V)+ | ~ ssList(U)+ | ~ ssList(W)+ | V = W )).++cnf(clause151,axiom,+ ( app(U,V) != app(W,V)+ | ~ ssList(U)+ | ~ ssList(V)+ | ~ ssList(W)+ | U = W )).++cnf(clause152,axiom,+ ( ~ segmentP(U,V)+ | ~ segmentP(V,W)+ | ~ ssList(W)+ | ~ ssList(V)+ | ~ ssList(U)+ | segmentP(U,W) )).++cnf(clause153,axiom,+ ( ~ rearsegP(U,V)+ | ~ rearsegP(V,W)+ | ~ ssList(W)+ | ~ ssList(V)+ | ~ ssList(U)+ | rearsegP(U,W) )).++cnf(clause154,axiom,+ ( ~ frontsegP(U,V)+ | ~ frontsegP(V,W)+ | ~ ssList(W)+ | ~ ssList(V)+ | ~ ssList(U)+ | frontsegP(U,W) )).++cnf(clause155,axiom,+ ( ~ lt(U,V)+ | ~ lt(V,W)+ | ~ ssItem(W)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | lt(U,W) )).++cnf(clause156,axiom,+ ( ~ leq(U,V)+ | ~ leq(V,W)+ | ~ ssItem(W)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | leq(U,W) )).++cnf(clause157,axiom,+ ( ~ ssItem(U)+ | ~ ssList(V)+ | ~ ssList(W)+ | cons(U,app(V,W)) = app(cons(U,V),W) )).++cnf(clause158,axiom,+ ( ~ memberP(app(U,V),W)+ | ~ ssList(V)+ | ~ ssList(U)+ | ~ ssItem(W)+ | memberP(V,W)+ | memberP(U,W) )).++cnf(clause159,axiom,+ ( ~ leq(U,hd(V))+ | ~ totalorderedP(V)+ | ~ ssList(V)+ | ~ ssItem(U)+ | totalorderedP(cons(U,V))+ | nil = V )).++cnf(clause160,axiom,+ ( ~ lt(U,hd(V))+ | ~ strictorderedP(V)+ | ~ ssList(V)+ | ~ ssItem(U)+ | strictorderedP(cons(U,V))+ | nil = V )).++cnf(clause161,axiom,+ ( ~ memberP(cons(U,V),W)+ | ~ ssList(V)+ | ~ ssItem(U)+ | ~ ssItem(W)+ | memberP(V,W)+ | W = U )).++cnf(clause162,axiom,+ ( ~ ssList(U)+ | duplicatefreeP(U)+ | app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U )).++cnf(clause163,axiom,+ ( ~ ssList(U)+ | strictorderedP(U)+ | app(app(skaf71(U),cons(skaf69(U),skaf72(U))),cons(skaf70(U),skaf73(U))) = U )).++cnf(clause164,axiom,+ ( ~ ssList(U)+ | totalorderedP(U)+ | app(app(skaf66(U),cons(skaf64(U),skaf67(U))),cons(skaf65(U),skaf68(U))) = U )).++cnf(clause165,axiom,+ ( ~ ssList(U)+ | strictorderP(U)+ | app(app(skaf61(U),cons(skaf59(U),skaf62(U))),cons(skaf60(U),skaf63(U))) = U )).++cnf(clause166,axiom,+ ( ~ ssList(U)+ | totalorderP(U)+ | app(app(skaf56(U),cons(skaf54(U),skaf57(U))),cons(skaf55(U),skaf58(U))) = U )).++cnf(clause167,axiom,+ ( ~ ssList(U)+ | cyclefreeP(U)+ | app(app(skaf51(U),cons(skaf49(U),skaf52(U))),cons(skaf50(U),skaf53(U))) = U )).++cnf(clause168,axiom,+ ( ~ segmentP(U,V)+ | ~ ssList(V)+ | ~ ssList(U)+ | app(app(skaf47(U,V),V),skaf48(V,U)) = U )).++cnf(clause169,axiom,+ ( ~ memberP(U,V)+ | ~ ssItem(V)+ | ~ ssList(U)+ | app(skaf42(U,V),cons(V,skaf43(V,U))) = U )).++cnf(clause170,axiom,+ ( cons(U,V) != cons(W,X)+ | ~ ssItem(W)+ | ~ ssItem(U)+ | ~ ssList(X)+ | ~ ssList(V)+ | U = W )).++cnf(clause171,axiom,+ ( cons(U,V) != cons(W,X)+ | ~ ssItem(W)+ | ~ ssItem(U)+ | ~ ssList(X)+ | ~ ssList(V)+ | X = V )).++cnf(clause172,axiom,+ ( ~ segmentP(U,V)+ | ~ ssList(W)+ | ~ ssList(X)+ | ~ ssList(V)+ | ~ ssList(U)+ | segmentP(app(app(X,U),W),V) )).++cnf(clause173,axiom,+ ( app(app(U,V),W) != X+ | ~ ssList(W)+ | ~ ssList(U)+ | ~ ssList(V)+ | ~ ssList(X)+ | segmentP(X,V) )).++cnf(clause174,axiom,+ ( ~ frontsegP(cons(U,V),cons(W,X))+ | ~ ssList(X)+ | ~ ssList(V)+ | ~ ssItem(W)+ | ~ ssItem(U)+ | frontsegP(V,X) )).++cnf(clause175,axiom,+ ( app(U,cons(V,W)) != X+ | ~ ssList(W)+ | ~ ssList(U)+ | ~ ssItem(V)+ | ~ ssList(X)+ | memberP(X,V) )).++cnf(clause176,axiom,+ ( ~ frontsegP(cons(U,V),cons(W,X))+ | ~ ssList(X)+ | ~ ssList(V)+ | ~ ssItem(W)+ | ~ ssItem(U)+ | U = W )).++cnf(clause177,axiom,+ ( tl(U) != tl(V)+ | hd(U) != hd(V)+ | ~ ssList(U)+ | ~ ssList(V)+ | nil = V+ | U = V+ | nil = U )).++cnf(clause178,axiom,+ ( ~ frontsegP(U,V)+ | W != X+ | ~ ssList(V)+ | ~ ssList(U)+ | ~ ssItem(X)+ | ~ ssItem(W)+ | frontsegP(cons(W,U),cons(X,V)) )).++cnf(clause179,axiom,+ ( app(app(U,cons(V,W)),cons(V,X)) != Y+ | ~ ssList(X)+ | ~ ssList(W)+ | ~ ssList(U)+ | ~ ssItem(V)+ | ~ duplicatefreeP(Y)+ | ~ ssList(Y) )).++cnf(clause180,axiom,+ ( app(U,cons(V,cons(W,X))) != Y+ | ~ ssList(X)+ | ~ ssList(U)+ | ~ ssItem(W)+ | ~ ssItem(V)+ | ~ equalelemsP(Y)+ | ~ ssList(Y)+ | V = W )).++cnf(clause181,axiom,+ ( app(app(U,cons(V,W)),cons(X,Y)) != Z+ | ~ ssList(Y)+ | ~ ssList(W)+ | ~ ssList(U)+ | ~ ssItem(X)+ | ~ ssItem(V)+ | ~ strictorderedP(Z)+ | ~ ssList(Z)+ | lt(V,X) )).++cnf(clause182,axiom,+ ( app(app(U,cons(V,W)),cons(X,Y)) != Z+ | ~ ssList(Y)+ | ~ ssList(W)+ | ~ ssList(U)+ | ~ ssItem(X)+ | ~ ssItem(V)+ | ~ totalorderedP(Z)+ | ~ ssList(Z)+ | leq(V,X) )).++cnf(clause183,axiom,+ ( app(app(U,cons(V,W)),cons(X,Y)) != Z+ | ~ ssList(Y)+ | ~ ssList(W)+ | ~ ssList(U)+ | ~ ssItem(X)+ | ~ ssItem(V)+ | ~ strictorderP(Z)+ | ~ ssList(Z)+ | lt(V,X)+ | lt(X,V) )).++cnf(clause184,axiom,+ ( app(app(U,cons(V,W)),cons(X,Y)) != Z+ | ~ ssList(Y)+ | ~ ssList(W)+ | ~ ssList(U)+ | ~ ssItem(X)+ | ~ ssItem(V)+ | ~ totalorderP(Z)+ | ~ ssList(Z)+ | leq(V,X)+ | leq(X,V) )).++cnf(clause185,axiom,+ ( ~ leq(U,V)+ | ~ leq(V,U)+ | app(app(W,cons(U,X)),cons(V,Y)) != Z+ | ~ ssList(Y)+ | ~ ssList(X)+ | ~ ssList(W)+ | ~ ssItem(V)+ | ~ ssItem(U)+ | ~ cyclefreeP(Z)+ | ~ ssList(Z) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV001-0.ax view
@@ -0,0 +1,74 @@+%--------------------------------------------------------------------------+% File : SWV001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Software Verification+% Axioms : Program verification axioms+% Version : [MOW76] axioms.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% Source : [MOW76]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 12 ( 1 non-Horn; 5 unit; 7 RR)+% Number of atoms : 23 ( 9 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 2 ( 0 constant; 1-1 arity)+% Number of variables : 22 ( 0 singleton)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments : Only reflexivity is specified from equality, i.e. no symmetry+% or transitivity.+% : These axioms were contributed to [MOW76] in private+% correspondance from G. Ernst.+%--------------------------------------------------------------------------+cnf(predecessor_successor,axiom,+ ( predecessor(successor(X)) = X )).++cnf(successor_predecessor,axiom,+ ( successor(predecessor(X)) = X )).++cnf(well_defined_predecessor,axiom,+ ( X = Y+ | predecessor(X) != predecessor(Y) )).++cnf(well_defined_successor,axiom,+ ( X = Y+ | successor(X) != successor(Y) )).++cnf(predecessor_less_than,axiom,+ ( less_than(predecessor(X),X) )).++cnf(less_than_successor,axiom,+ ( less_than(X,successor(X)) )).++cnf(transitivity_of_less_than,axiom,+ ( less_than(X,Z)+ | ~ less_than(X,Y)+ | ~ less_than(Y,Z) )).++cnf(all_related,axiom,+ ( less_than(X,Y)+ | less_than(Y,X)+ | X = Y )).++cnf(x_not_less_than_x,axiom,+ ( ~ less_than(X,X) )).++cnf(anti_symmetry_of_less_than,axiom,+ ( ~ less_than(X,Y)+ | ~ less_than(Y,X) )).++cnf(equal_and_less_than_transitivity1,axiom,+ ( less_than(Y,Z)+ | X != Y+ | ~ less_than(X,Z) )).++cnf(equal_and_less_than_transitivity2,axiom,+ ( less_than(Z,Y)+ | X != Y+ | ~ less_than(Z,X) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV002-0.ax view
@@ -0,0 +1,126 @@+%--------------------------------------------------------------------------+% File : SWV002-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Software Verification+% Axioms : Program verification axioms+% Version : [MOW76] axioms.+% English : These "clauses arose in a natural manner from work done+% in program verification" [MOW76] p.779.++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% Source : [MOW76]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 22 ( 2 non-Horn; 6 unit; 19 RR)+% Number of atoms : 52 ( 3 equality)+% Maximal clause size : 5 ( 2 average)+% Number of predicates : 11 ( 0 propositional; 1-4 arity)+% Number of functors : 4 ( 2 constant; 0-2 arity)+% Number of variables : 48 ( 5 singleton)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : These axioms were contributed to [MOW76] by E. McCharen. The+% axioms are incomplete.+% : Due to clause_2 being incomplete, no problems have been defined+% on these axioms.+%--------------------------------------------------------------------------+cnf(clause_1,axiom,+ ( ~ q1(Vj,Vt,Vx)+ | q2(Vj,e(Vx,n1),Vx) )).++%----The second literal is not printed in [MOW76].+%----So this literal may be wrong+cnf(clause_2,axiom,+ ( ~ q2(Vj,Vt,Vx)+ | q3(successor(n1),Vt,VWhat) )).++cnf(clause_3,axiom,+ ( ~ q3(Vj,Vt,Vx)+ | ~ less_or_equal(Vj,n)+ | q4(Vj,Vt,Vx) )).++cnf(clause_4,axiom,+ ( ~ q3(Vj,Vt,Vx)+ | less_or_equal(Vj,n)+ | q7(Vj,Vt,Vx) )).++cnf(clause_5,axiom,+ ( ~ q4(Vj,Vt,Vx)+ | ~ d(Vj)+ | ~ less_or_equal(e(Vx,Vj),Vt)+ | q6(Vj,Vt,Vx) )).++cnf(clause_6,axiom,+ ( ~ q4(Vj,Vt,Vx)+ | ~ d(Vj)+ | less_or_equal(e(Vx,Vj),Vt)+ | q5(Vj,Vt,Vx) )).++cnf(clause_7,axiom,+ ( ~ q5(Vj,Vt,Vx)+ | ~ d(Vj)+ | q6(Vj,e(Vx,Vj),Vx) )).++cnf(clause_8,axiom,+ ( ~ q6(Vj,Vt,Vx)+ | q3(successor(Vj),Vt,Vx) )).++cnf(definition_of_d_1,axiom,+ ( ~ less_or_equal(n1,X)+ | ~ less_or_equal(X,n)+ | d(X) )).++cnf(definition_of_d_2,axiom,+ ( ~ d(X)+ | ~ less_or_equal(n1,X) )).++cnf(definition_of_d_3,axiom,+ ( ~ d(X)+ | less_or_equal(X,n) )).++cnf(one_is_d,axiom,+ ( d(n1) )).++cnf(n_is_d,axiom,+ ( d(n) )).++cnf(clause_9,axiom,+ ( less_or_equal(n1,n) )).++cnf(clause_10,axiom,+ ( ~ ub(W1,X,Y,Z)+ | ~ less_or_equal(W1,W2)+ | ub(W2,X,Y,Z) )).++cnf(clause_11,axiom,+ ( ~ ub(W,X,Y,Z1)+ | successor(Z1) != Z2+ | ~ d(Z2)+ | ~ less_or_equal(e(X,Z2),W)+ | ub(W,X,Y,Z2) )).++cnf(successor_not_less_or_equal,axiom,+ ( ~ less_or_equal(successor(X),X) )).++cnf(less_or_equal_than_successor,axiom,+ ( less_or_equal(X,successor(X)) )).++cnf(less_or_equal_reflexivity,axiom,+ ( less_or_equal(X,X) )).++cnf(less_or_equal_implies_equal,axiom,+ ( ~ less_or_equal(X,Y)+ | ~ less_or_equal(Y,X)+ | X = Y )).++cnf(transitivity_of_less_or_equal,axiom,+ ( ~ less_or_equal(X,Y)+ | ~ less_or_equal(Y,Z)+ | less_or_equal(X,Z) )).++cnf(equal_implies_less_or_equal,axiom,+ ( less_or_equal(X,Y)+ | X != Y )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV004-0.ax view
@@ -0,0 +1,184 @@+%------------------------------------------------------------------------------+% File : SWV004-0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for messages+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Message.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 40 ( 6 non-Horn; 9 unit; 38 RR)+% Number of atoms : 80 ( 26 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 17 ( 4 constant; 0-3 arity)+% Number of variables : 91 ( 21 singleton)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-2.ax+%------------------------------------------------------------------------------+cnf(cls_Message_OCrypt__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OCrypt__synth_1,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OHash__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OKey__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OMPair__analz_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__analz_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__parts_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__parts_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) )).++cnf(cls_Message_ONonce__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg) )).++cnf(cls_Message_Oagent_Odistinct__1__iff1_0,axiom,+ ( c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H) )).++cnf(cls_Message_Oagent_Odistinct__2__iff1_0,axiom,+ ( c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer )).++cnf(cls_Message_Oagent_Odistinct__3__iff1_0,axiom,+ ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )).++cnf(cls_Message_Oagent_Odistinct__4__iff1_0,axiom,+ ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )).++cnf(cls_Message_Oagent_Odistinct__5__iff1_0,axiom,+ ( c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy )).++cnf(cls_Message_Oagent_Odistinct__6__iff1_0,axiom,+ ( c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat) )).++cnf(cls_Message_Oagent_Oinject__iff1_0,axiom,+ ( c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OFriend(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Oanalz_ODecrypt__dest_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz_OInj_0,axiom,+ ( ~ c_in(V_X,V_H,tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__analzD__dest_0,axiom,+ ( ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oin__parts__UnE_0,axiom,+ ( ~ c_in(V_c,c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),tc_Message_Omsg)+ | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) )).++cnf(cls_Message_Omsg_Oinject__1__iff1_0,axiom,+ ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)+ | V_agent = V_agent_H )).++cnf(cls_Message_Omsg_Oinject__2__iff1_0,axiom,+ ( c_Message_Omsg_ONumber(V_nat) != c_Message_Omsg_ONumber(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__3__iff1_0,axiom,+ ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__4__iff1_0,axiom,+ ( c_Message_Omsg_OKey(V_nat) != c_Message_Omsg_OKey(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__5__iff1_0,axiom,+ ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Message_Omsg_Oinject__6__iff1_0,axiom,+ ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)+ | V_msg1 = V_msg1_H )).++cnf(cls_Message_Omsg_Oinject__6__iff1_1,axiom,+ ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)+ | V_msg2 = V_msg2_H )).++cnf(cls_Message_Omsg_Oinject__7__iff1_0,axiom,+ ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__7__iff1_1,axiom,+ ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Message_Oparts_OInj_0,axiom,+ ( ~ c_in(V_X,V_H,tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__emptyE_0,axiom,+ ( ~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__partsD__dest_0,axiom,+ ( ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OAgent_0,axiom,+ ( c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OCrypt_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OHash_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OInj_0,axiom,+ ( ~ c_in(V_X,V_H,tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OMPair_0,axiom,+ ( ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)+ | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_ONumber_0,axiom,+ ( c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV005-0.ax view
@@ -0,0 +1,170 @@+%------------------------------------------------------------------------------+% File : SWV005-0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for messages+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Message-simp.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 44 ( 0 non-Horn; 30 unit; 25 RR)+% Number of atoms : 58 ( 51 equality)+% Maximal clause size : 2 ( 1 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 23 ( 7 constant; 0-3 arity)+% Number of variables : 77 ( 29 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-1.ax+%------------------------------------------------------------------------------+cnf(cls_Message_OMPair__parts_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__parts_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oagent_Odistinct__1_0,axiom,+ ( c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H) )).++cnf(cls_Message_Oagent_Odistinct__2_0,axiom,+ ( c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer )).++cnf(cls_Message_Oagent_Odistinct__3_0,axiom,+ ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )).++cnf(cls_Message_Oagent_Odistinct__4_0,axiom,+ ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )).++cnf(cls_Message_Oagent_Odistinct__5_0,axiom,+ ( c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy )).++cnf(cls_Message_Oagent_Odistinct__6_0,axiom,+ ( c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat) )).++cnf(cls_Message_Oagent_Oinject_0,axiom,+ ( c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OFriend(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Oagent_Osize__1_0,axiom,+ ( c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) = c_0 )).++cnf(cls_Message_Oagent_Osize__2_0,axiom,+ ( c_Nat_Osize(c_Message_Oagent_OFriend(V_nat),tc_Message_Oagent) = c_0 )).++cnf(cls_Message_Oagent_Osize__3_0,axiom,+ ( c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) = c_0 )).++cnf(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,axiom,+ ( c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y )).++cnf(cls_Message_OinvKey__eq_0,axiom,+ ( c_Message_OinvKey(V_K) != c_Message_OinvKey(V_K_H)+ | V_K = V_K_H )).++cnf(cls_Message_OkeysFor__Un_0,axiom,+ ( c_Message_OkeysFor(c_union(V_H,V_H_H,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(V_H),c_Message_OkeysFor(V_H_H),tc_nat) )).++cnf(cls_Message_OkeysFor__empty_0,axiom,+ ( c_Message_OkeysFor(c_emptyset) = c_emptyset )).++cnf(cls_Message_OkeysFor__insert__Agent_0,axiom,+ ( c_Message_OkeysFor(c_insert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) )).++cnf(cls_Message_OkeysFor__insert__Crypt_0,axiom,+ ( c_Message_OkeysFor(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat) )).++cnf(cls_Message_OkeysFor__insert__Hash_0,axiom,+ ( c_Message_OkeysFor(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) )).++cnf(cls_Message_OkeysFor__insert__Key_0,axiom,+ ( c_Message_OkeysFor(c_insert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) )).++cnf(cls_Message_OkeysFor__insert__MPair_0,axiom,+ ( c_Message_OkeysFor(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) )).++cnf(cls_Message_OkeysFor__insert__Nonce_0,axiom,+ ( c_Message_OkeysFor(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) )).++cnf(cls_Message_OkeysFor__insert__Number_0,axiom,+ ( c_Message_OkeysFor(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) )).++cnf(cls_Message_Omsg_Oinject__1_0,axiom,+ ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)+ | V_agent = V_agent_H )).++cnf(cls_Message_Omsg_Oinject__2_0,axiom,+ ( c_Message_Omsg_ONumber(V_nat) != c_Message_Omsg_ONumber(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__3_0,axiom,+ ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__4_0,axiom,+ ( c_Message_Omsg_OKey(V_nat) != c_Message_Omsg_OKey(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__5_0,axiom,+ ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Message_Omsg_Oinject__6_0,axiom,+ ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)+ | V_msg1 = V_msg1_H )).++cnf(cls_Message_Omsg_Oinject__6_1,axiom,+ ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)+ | V_msg2 = V_msg2_H )).++cnf(cls_Message_Omsg_Oinject__7_0,axiom,+ ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__7_1,axiom,+ ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Message_Omsg_Osize__1_0,axiom,+ ( c_Nat_Osize(c_Message_Omsg_OAgent(V_agent),tc_Message_Omsg) = c_0 )).++cnf(cls_Message_Omsg_Osize__2_0,axiom,+ ( c_Nat_Osize(c_Message_Omsg_ONumber(V_nat),tc_Message_Omsg) = c_0 )).++cnf(cls_Message_Omsg_Osize__3_0,axiom,+ ( c_Nat_Osize(c_Message_Omsg_ONonce(V_nat),tc_Message_Omsg) = c_0 )).++cnf(cls_Message_Omsg_Osize__4_0,axiom,+ ( c_Nat_Osize(c_Message_Omsg_OKey(V_nat),tc_Message_Omsg) = c_0 )).++cnf(cls_Message_Omsg_Osize__5_0,axiom,+ ( c_Nat_Osize(c_Message_Omsg_OHash(V_msg),tc_Message_Omsg) = c_plus(c_Nat_Osize(V_msg,tc_Message_Omsg),c_Suc(c_0),tc_nat) )).++cnf(cls_Message_Omsg_Osize__6_0,axiom,+ ( c_Nat_Osize(c_Message_Omsg_OMPair(V_msg1,V_msg2),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(V_msg1,tc_Message_Omsg),c_Nat_Osize(V_msg2,tc_Message_Omsg),tc_nat),c_Suc(c_0),tc_nat) )).++cnf(cls_Message_Omsg_Osize__7_0,axiom,+ ( c_Nat_Osize(c_Message_Omsg_OCrypt(V_nat,V_msg),tc_Message_Omsg) = c_plus(c_Nat_Osize(V_msg,tc_Message_Omsg),c_Suc(c_0),tc_nat) )).++cnf(cls_Message_Oparts_OInj_0,axiom,+ ( ~ c_in(V_X,V_H,tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__Un_0,axiom,+ ( c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__emptyE_0,axiom,+ ( ~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__empty_0,axiom,+ ( c_Message_Oparts(c_emptyset) = c_emptyset )).++cnf(cls_Message_Ostrange__Un__eq_0,axiom,+ ( c_union(V_A,c_union(V_B,V_A,T_a),T_a) = c_union(V_B,V_A,T_a) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV005-1.ax view
@@ -0,0 +1,219 @@+%------------------------------------------------------------------------------+% File : SWV005-1 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for messages+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Message-simp2.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 51 ( 9 non-Horn; 19 unit; 30 RR)+% Number of atoms : 93 ( 21 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 3 ( 0 propositional; 2-3 arity)+% Number of functors : 18 ( 3 constant; 0-3 arity)+% Number of variables : 112 ( 6 singleton)+% Maximal term depth : 5 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-1.ax, SWV005-0.ax+%------------------------------------------------------------------------------+cnf(cls_Message_OAgent__synth_0,axiom,+ ( c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OCrypt__synth_1,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OCrypt__synth__eq_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OCrypt__synth__eq_1,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OHash__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OKey__synth__eq_0,axiom,+ ( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OKey__synth__eq_1,axiom,+ ( ~ c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__analz_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__analz_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) )).++cnf(cls_Message_ONonce__synth__eq_0,axiom,+ ( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) )).++cnf(cls_Message_ONonce__synth__eq_1,axiom,+ ( ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_ONumber__synth_0,axiom,+ ( c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz_ODecrypt__dest_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz_OInj_0,axiom,+ ( ~ c_in(V_X,V_H,tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__Crypt__if_0,axiom,+ ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__Crypt__if_1,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__analzD__dest_0,axiom,+ ( ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__empty_0,axiom,+ ( c_Message_Oanalz(c_emptyset) = c_emptyset )).++cnf(cls_Message_Oanalz__idem_0,axiom,+ ( c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) )).++cnf(cls_Message_Oanalz__insert__Agent_0,axiom,+ ( c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__insert__Hash_0,axiom,+ ( c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__insert__Key_0,axiom,+ ( c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat)+ | c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__insert__MPair_0,axiom,+ ( c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(c_insert(V_X,c_insert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__insert__Nonce_0,axiom,+ ( c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__insert__Number_0,axiom,+ ( c_Message_Oanalz(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__parts_0,axiom,+ ( c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) )).++cnf(cls_Message_Oanalz__subset__iff_0,axiom,+ ( ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(V_G,c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Oanalz__subset__iff_1,axiom,+ ( ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Oin__parts__UnE_0,axiom,+ ( ~ c_in(V_c,c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),tc_Message_Omsg)+ | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__analz_0,axiom,+ ( c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) )).++cnf(cls_Message_Oparts__cut__eq_0,axiom,+ ( ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H) )).++cnf(cls_Message_Oparts__idem_0,axiom,+ ( c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) )).++cnf(cls_Message_Oparts__insert__Agent_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__Crypt_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__Hash_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__Key_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(V_K),c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__MPair_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_insert(V_X,c_insert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__Nonce_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__Number_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(V_N),c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__partsD__dest_0,axiom,+ ( ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__subset__iff_0,axiom,+ ( ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Oparts__subset__iff_1,axiom,+ ( ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Osynth_OCrypt_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OHash_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OInj_0,axiom,+ ( ~ c_in(V_X,V_H,tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OMPair_0,axiom,+ ( ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)+ | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth__subset__iff_0,axiom,+ ( ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Osynth__subset__iff_1,axiom,+ ( ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Osynth__synthD__dest_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV005-2.ax view
@@ -0,0 +1,462 @@+%------------------------------------------------------------------------------+% File : SWV005-2 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for events+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Event-simp.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 119 ( 17 non-Horn; 57 unit; 78 RR)+% Number of atoms : 200 ( 87 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 3 ( 0 propositional; 2-3 arity)+% Number of functors : 35 ( 10 constant; 0-3 arity)+% Number of variables : 324 ( 123 singleton)+% Maximal term depth : 5 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-1.ax, SWV005-0.ax+%------------------------------------------------------------------------------+cnf(cls_Event_OServer_A_58_Abad_A_61_61_AFalse_0,axiom,+ ( ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) )).++cnf(cls_Event_OSpy_A_58_Abad_A_61_61_ATrue_0,axiom,+ ( c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) )).++cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,+ ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Event_Oevent_Odistinct__1_0,axiom,+ ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) )).++cnf(cls_Event_Oevent_Odistinct__2_0,axiom,+ ( c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) )).++cnf(cls_Event_Oevent_Odistinct__3_0,axiom,+ ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) )).++cnf(cls_Event_Oevent_Odistinct__4_0,axiom,+ ( c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) )).++cnf(cls_Event_Oevent_Odistinct__5_0,axiom,+ ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) )).++cnf(cls_Event_Oevent_Odistinct__6_0,axiom,+ ( c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) )).++cnf(cls_Event_Oevent_Oinject__1_0,axiom,+ ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)+ | V_agent1 = V_agent1_H )).++cnf(cls_Event_Oevent_Oinject__1_1,axiom,+ ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)+ | V_agent2 = V_agent2_H )).++cnf(cls_Event_Oevent_Oinject__1_2,axiom,+ ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Event_Oevent_Oinject__2_0,axiom,+ ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)+ | V_agent = V_agent_H )).++cnf(cls_Event_Oevent_Oinject__2_1,axiom,+ ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Event_Oevent_Oinject__3_0,axiom,+ ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)+ | V_agent = V_agent_H )).++cnf(cls_Event_Oevent_Oinject__3_1,axiom,+ ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Event_Oevent_Osize__1_0,axiom,+ ( c_Nat_Osize(c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),tc_Event_Oevent) = c_0 )).++cnf(cls_Event_Oevent_Osize__2_0,axiom,+ ( c_Nat_Osize(c_Event_Oevent_OGets(V_agent,V_msg),tc_Event_Oevent) = c_0 )).++cnf(cls_Event_Oevent_Osize__3_0,axiom,+ ( c_Nat_Osize(c_Event_Oevent_ONotes(V_agent,V_msg),tc_Event_Oevent) = c_0 )).++cnf(cls_Event_OkeysFor__synth_H_0,axiom,+ ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Osynth(V_H)),tc_nat)+ | c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)+ | c_in(c_Message_Omsg_OKey(v_sko__uhi(V_H,V_K)),V_H,tc_Message_Omsg) )).++cnf(cls_Event_OkeysFor__synth_H_1,axiom,+ ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Osynth(V_H)),tc_nat)+ | c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)+ | V_K = c_Message_OinvKey(v_sko__uhi(V_H,V_K)) )).++cnf(cls_Event_OkeysFor__synth_H_2,axiom,+ ( ~ c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)+ | c_in(V_K,c_Message_OkeysFor(c_Message_Osynth(V_H)),tc_nat) )).++cnf(cls_Event_OkeysFor__synth_H_3,axiom,+ ( ~ c_in(c_Message_Omsg_OKey(V_U),V_H,tc_Message_Omsg)+ | c_in(c_Message_OinvKey(V_U),c_Message_OkeysFor(c_Message_Osynth(V_H)),tc_nat) )).++cnf(cls_Event_Oknows_Oknows__Nil_0,axiom,+ ( c_Event_Oknows(V_A,c_List_Olist_ONil) = c_Event_OinitState(V_A) )).++cnf(cls_Event_Oknows__Spy__Gets_0,axiom,+ ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) )).++cnf(cls_Event_Oknows__Spy__Notes_0,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_insert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Event_Oknows__Spy__Notes_1,axiom,+ ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) )).++cnf(cls_Event_Oknows__Spy__Says_0,axiom,+ ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_insert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Event_Oused__Gets_0,axiom,+ ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oused(V_evs) )).++cnf(cls_Event_Oused__Notes_0,axiom,+ ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Event_Oused__Says_0,axiom,+ ( c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Message_OAgent__synth_0,axiom,+ ( c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OCrypt__synth_1,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OCrypt__synth__eq_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OCrypt__synth__eq_1,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OFake__analz__eq_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_Message_Osynth(c_Message_Oanalz(c_insert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H)) )).++cnf(cls_Message_OHPair__eq_0,axiom,+ ( c_Message_OHPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)+ | V_X_H = V_X )).++cnf(cls_Message_OHPair__eq_1,axiom,+ ( c_Message_OHPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)+ | V_Y_H = V_Y )).++cnf(cls_Message_OHPair__eq__MPair_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OMPair(V_X_H,V_Y_H)+ | V_X_H = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)) )).++cnf(cls_Message_OHPair__eq__MPair_1,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OMPair(V_X_H,V_Y_H)+ | V_Y_H = V_Y )).++cnf(cls_Message_OHPair__eq__MPair_2,axiom,+ ( c_Message_OHPair(V_X,V_x) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) )).++cnf(cls_Message_OHPair__neqs__1_0,axiom,+ ( c_Message_Omsg_OAgent(V_A) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHPair__neqs__2_0,axiom,+ ( c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHPair__neqs__3_0,axiom,+ ( c_Message_Omsg_ONumber(V_N) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHPair__neqs__4_0,axiom,+ ( c_Message_Omsg_OKey(V_K) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHPair__neqs__5_0,axiom,+ ( c_Message_Omsg_OHash(V_Z) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHPair__neqs__6_0,axiom,+ ( c_Message_Omsg_OCrypt(V_K,V_X_H) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHPair__synth__analz_0,axiom,+ ( ~ c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OHPair__synth__analz_1,axiom,+ ( ~ c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) )).++cnf(cls_Message_OHPair__synth__analz_2,axiom,+ ( ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) )).++cnf(cls_Message_OHash_91X2_93_AY2_A_61_AAgent_AA2_A_61_61_AFalse_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OAgent(V_A) )).++cnf(cls_Message_OHash_91X2_93_AY2_A_61_ACrypt_AK2_AX_H2_A_61_61_AFalse_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OCrypt(V_K,V_X_H) )).++cnf(cls_Message_OHash_91X2_93_AY2_A_61_AHash_AZ2_A_61_61_AFalse_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OHash(V_Z) )).++cnf(cls_Message_OHash_91X2_93_AY2_A_61_AKey_AK2_A_61_61_AFalse_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OKey(V_K) )).++cnf(cls_Message_OHash_91X2_93_AY2_A_61_ANonce_AN2_A_61_61_AFalse_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONonce(V_N) )).++cnf(cls_Message_OHash_91X2_93_AY2_A_61_ANumber_AN2_A_61_61_AFalse_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONumber(V_N) )).++cnf(cls_Message_OHash__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OHash__synth__analz_0,axiom,+ ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OHash__synth__analz_1,axiom,+ ( ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) )).++cnf(cls_Message_OKey__synth__eq_0,axiom,+ ( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OKey__synth__eq_1,axiom,+ ( ~ c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__analz_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__analz_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__eq__HPair_0,axiom,+ ( c_Message_Omsg_OMPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)+ | V_X_H = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)) )).++cnf(cls_Message_OMPair__eq__HPair_1,axiom,+ ( c_Message_Omsg_OMPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)+ | V_Y_H = V_Y )).++cnf(cls_Message_OMPair__eq__HPair_2,axiom,+ ( c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) = c_Message_OHPair(V_X,V_x) )).++cnf(cls_Message_OMPair__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth__analz_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth__analz_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth__analz_2,axiom,+ ( ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) )).++cnf(cls_Message_ONonce__synth__eq_0,axiom,+ ( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) )).++cnf(cls_Message_ONonce__synth__eq_1,axiom,+ ( ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_ONumber__synth_0,axiom,+ ( c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz_ODecrypt__dest_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz_OInj_0,axiom,+ ( ~ c_in(V_X,V_H,tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__Crypt__if_0,axiom,+ ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__Crypt__if_1,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__analzD__dest_0,axiom,+ ( ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__analz__Un_0,axiom,+ ( c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)) )).++cnf(cls_Message_Oanalz__conj__parts_0,axiom,+ ( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__empty_0,axiom,+ ( c_Message_Oanalz(c_emptyset) = c_emptyset )).++cnf(cls_Message_Oanalz__idem_0,axiom,+ ( c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) )).++cnf(cls_Message_Oanalz__insert__Agent_0,axiom,+ ( c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__insert__HPair_0,axiom,+ ( c_Message_Oanalz(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_OHPair(V_X,V_Y),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(c_insert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__insert__Hash_0,axiom,+ ( c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__insert__Key_0,axiom,+ ( c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat)+ | c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__insert__MPair_0,axiom,+ ( c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(c_insert(V_X,c_insert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__insert__Nonce_0,axiom,+ ( c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__insert__Number_0,axiom,+ ( c_Message_Oanalz(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__parts_0,axiom,+ ( c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) )).++cnf(cls_Message_Oanalz__subset__iff_0,axiom,+ ( ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(V_G,c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Oanalz__subset__iff_1,axiom,+ ( ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Oanalz__synth_0,axiom,+ ( c_Message_Oanalz(c_Message_Osynth(V_H)) = c_union(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__synth__Un_0,axiom,+ ( c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg) )).++cnf(cls_Message_Oin__parts__UnE_0,axiom,+ ( ~ c_in(V_c,c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),tc_Message_Omsg)+ | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) )).++cnf(cls_Message_OkeysFor__insert__HPair_0,axiom,+ ( c_Message_OkeysFor(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) )).++cnf(cls_Message_Oparts__analz_0,axiom,+ ( c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) )).++cnf(cls_Message_Oparts__cut__eq_0,axiom,+ ( ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H) )).++cnf(cls_Message_Oparts__idem_0,axiom,+ ( c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) )).++cnf(cls_Message_Oparts__insert__Agent_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__Crypt_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__HPair_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_OHPair(V_X,V_Y),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oparts(c_insert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__Hash_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__Key_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(V_K),c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__MPair_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_insert(V_X,c_insert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__Nonce_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__insert__Number_0,axiom,+ ( c_Message_Oparts(c_insert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(V_N),c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__partsD__dest_0,axiom,+ ( ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__subset__iff_0,axiom,+ ( ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Oparts__subset__iff_1,axiom,+ ( ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Oparts__synth_0,axiom,+ ( c_Message_Oparts(c_Message_Osynth(V_H)) = c_union(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OCrypt_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OHash_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OInj_0,axiom,+ ( ~ c_in(V_X,V_H,tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OMPair_0,axiom,+ ( ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)+ | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth__subset__iff_0,axiom,+ ( ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Osynth__subset__iff_1,axiom,+ ( ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))+ | c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)) )).++cnf(cls_Message_Osynth__synthD__dest_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV005-3.ax view
@@ -0,0 +1,160 @@+%------------------------------------------------------------------------------+% File : SWV005-3 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for public, simplified+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Public-simp.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 42 ( 0 non-Horn; 32 unit; 24 RR)+% Number of atoms : 52 ( 24 equality)+% Maximal clause size : 2 ( 1 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 28 ( 12 constant; 0-4 arity)+% Number of variables : 92 ( 69 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-1.ax, SWV005-0.ax, SWV005-2.ax+%------------------------------------------------------------------------------+cnf(cls_Public_OCrypt__notin__used__empty_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg) )).++cnf(cls_Public_OMPair__used_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg) )).++cnf(cls_Public_OMPair__used_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg) )).++cnf(cls_Public_ONonce__notin__initState_0,axiom,+ ( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) )).++cnf(cls_Public_ONonce__notin__used__empty_0,axiom,+ ( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg) )).++cnf(cls_Public_OSpy__spies__bad__privateKey_0,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_Oanalz__spies__pubK_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Public_OinvKey__K_0,axiom,+ ( ~ c_in(V_y,c_Message_OsymKeys,tc_nat)+ | c_Message_OinvKey(V_y) = V_y )).++cnf(cls_Public_OinvKey__shrK_0,axiom,+ ( c_Message_OinvKey(c_Public_OshrK(V_A)) = c_Public_OshrK(V_A) )).++cnf(cls_Public_Okeymode_Ocases__1_0,axiom,+ ( c_Public_Okeymode_Okeymode__case(V_y,V_f2,c_Public_Okeymode_OSignature,T_a) = V_y )).++cnf(cls_Public_Okeymode_Ocases__2_0,axiom,+ ( c_Public_Okeymode_Okeymode__case(V_f1,V_y,c_Public_Okeymode_OEncryption,T_a) = V_y )).++cnf(cls_Public_Okeymode_Odistinct__1_0,axiom,+ ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption )).++cnf(cls_Public_Okeymode_Odistinct__2_0,axiom,+ ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature )).++cnf(cls_Public_Okeymode_Orecs__1_0,axiom,+ ( c_Public_Okeymode_Okeymode__rec(V_y,V_f2,c_Public_Okeymode_OSignature,T_a) = V_y )).++cnf(cls_Public_Okeymode_Orecs__2_0,axiom,+ ( c_Public_Okeymode_Okeymode__rec(V_f1,V_y,c_Public_Okeymode_OEncryption,T_a) = V_y )).++cnf(cls_Public_Okeymode_Osize__1_0,axiom,+ ( c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode) = c_0 )).++cnf(cls_Public_Okeymode_Osize__2_0,axiom,+ ( c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode) = c_0 )).++cnf(cls_Public_OkeysFor__parts__initState_0,axiom,+ ( c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(V_C))) = c_emptyset )).++cnf(cls_Public_Onot__symKeys__priK_0,axiom,+ ( ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_Onot__symKeys__pubK_0,axiom,+ ( ~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OpriEK__noteq__shrK_0,axiom,+ ( c_Message_OinvKey(c_Public_OpublicKey(c_Public_Okeymode_OEncryption,V_A)) != c_Public_OshrK(V_B) )).++cnf(cls_Public_OpriK__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_OinitState(V_A),tc_Message_Omsg) )).++cnf(cls_Public_OpriK__neq__shrK_0,axiom,+ ( c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) )).++cnf(cls_Public_OprivateKey_Ab1_AA1_A_61_ApublicKey_Ac1_AA_H1_A_61_61_AFalse_0,axiom,+ ( c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H) )).++cnf(cls_Public_OprivateKey__into__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OpubK__neq__shrK_0,axiom,+ ( c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C) )).++cnf(cls_Public_OpublicKey__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) )).++cnf(cls_Public_OpublicKey__inject_0,axiom,+ ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)+ | V_b = V_c )).++cnf(cls_Public_OpublicKey__inject_1,axiom,+ ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)+ | V_A = V_A_H )).++cnf(cls_Public_OpublicKey__into__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OpublicKey__neq__privateKey_0,axiom,+ ( c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) )).++cnf(cls_Public_OshrK_AX1_A_58_AsymKeys_A_61_61_ATrue_0,axiom,+ ( c_in(c_Public_OshrK(V_X),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OshrK__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__in__knows_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__in__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__injective_0,axiom,+ ( c_Public_OshrK(V_x) != c_Public_OshrK(V_y)+ | V_x = V_y )).++cnf(cls_Public_OshrK__neq__priK_0,axiom,+ ( c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) != c_Public_OshrK(V_A) )).++cnf(cls_Public_OshrK__neq__pubK_0,axiom,+ ( c_Public_OpublicKey(V_b,V_C) != c_Public_OshrK(V_A) )).++cnf(cls_Public_Ospies__pubK_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OsymKeys__invKey__iff_0,axiom,+ ( ~ c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)+ | c_in(V_K,c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OsymKeys__invKey__iff_1,axiom,+ ( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)+ | c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV005-4.ax view
@@ -0,0 +1,63 @@+%------------------------------------------------------------------------------+% File : SWV005-4 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for Yahalom, simplified+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Yahalom-simp.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 8 ( 0 non-Horn; 0 unit; 8 RR)+% Number of atoms : 22 ( 0 equality)+% Maximal clause size : 3 ( 3 average)+% Number of predicates : 1 ( 0 propositional; 3-3 arity)+% Number of functors : 19 ( 6 constant; 0-3 arity)+% Number of variables : 21 ( 4 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-1.ax, SWV005-0.ax, SWV005-2.ax,+% SWV005-3.ax+%------------------------------------------------------------------------------+cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,+ ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,+ ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)+ | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) )).++cnf(cls_Message_Oparts_OBody__dest_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Yahalom_OSpy__analz__shrK_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_A,c_Event_Obad,tc_Message_Oagent) )).++cnf(cls_Yahalom_OSpy__analz__shrK_1,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Yahalom_OSpy__see__shrK_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_A,c_Event_Obad,tc_Message_Oagent) )).++cnf(cls_Yahalom_OSpy__see__shrK_1,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV005-5.ax view
@@ -0,0 +1,79 @@+%------------------------------------------------------------------------------+% File : SWV005-5 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for Yahalom+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Yahalom.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 12 ( 3 non-Horn; 1 unit; 8 RR)+% Number of atoms : 30 ( 2 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 3 ( 0 propositional; 2-3 arity)+% Number of functors : 29 ( 9 constant; 0-4 arity)+% Number of variables : 63 ( 23 singleton)+% Maximal term depth : 9 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-1.ax, SWV005-0.ax, SWV005-2.ax,+% SWV005-3.ax, SWV005-4.ax+%------------------------------------------------------------------------------+cnf(cls_Yahalom_OA__trusts__YM3_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )).++cnf(cls_Yahalom_OGets__imp__Says_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(c_Event_Oevent_OSays(v_sko__wPE(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )).++cnf(cls_Yahalom_OKeyWithNonce__Gets_0,axiom,+ ( ~ c_Yahalom_OKeyWithNonce(V_K,V_NB,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))+ | c_Yahalom_OKeyWithNonce(V_K,V_NB,V_evs) )).++cnf(cls_Yahalom_OKeyWithNonce__Gets_1,axiom,+ ( ~ c_Yahalom_OKeyWithNonce(V_K,V_NB,V_evs)+ | c_Yahalom_OKeyWithNonce(V_K,V_NB,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) )).++cnf(cls_Yahalom_OKeyWithNonce__Notes_0,axiom,+ ( ~ c_Yahalom_OKeyWithNonce(V_K,V_NB,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))+ | c_Yahalom_OKeyWithNonce(V_K,V_NB,V_evs) )).++cnf(cls_Yahalom_OKeyWithNonce__Notes_1,axiom,+ ( ~ c_Yahalom_OKeyWithNonce(V_K,V_NB,V_evs)+ | c_Yahalom_OKeyWithNonce(V_K,V_NB,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) )).++cnf(cls_Yahalom_OKeyWithNonce__Says_0,axiom,+ ( ~ c_Yahalom_OKeyWithNonce(V_K,V_NB,c_List_Olist_OCons(c_Event_Oevent_OSays(V_S,V_A,V_X),V_evs,tc_Event_Oevent))+ | c_Yahalom_OKeyWithNonce(V_K,V_NB,V_evs)+ | c_Message_Oagent_OServer = V_S )).++cnf(cls_Yahalom_OKeyWithNonce__Says_1,axiom,+ ( ~ c_Yahalom_OKeyWithNonce(V_K,V_NB,c_List_Olist_OCons(c_Event_Oevent_OSays(V_S,V_A,V_X),V_evs,tc_Event_Oevent))+ | c_Yahalom_OKeyWithNonce(V_K,V_NB,V_evs)+ | V_X = c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_sko__2VZ(V_A,V_K,V_NB,V_X)),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(v_sko__2Va(V_A,V_K,V_NB,V_X),c_Message_Omsg_ONonce(V_NB))))),v_sko__2Vb(V_A,V_K,V_NB,V_X)) )).++cnf(cls_Yahalom_OKeyWithNonce__Says_2,axiom,+ ( c_Yahalom_OKeyWithNonce(V_K,V_NB,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_U),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_V,c_Message_Omsg_ONonce(V_NB))))),V_W)),V_evs,tc_Event_Oevent)) )).++cnf(cls_Yahalom_OKeyWithNonce__Says_3,axiom,+ ( ~ c_Yahalom_OKeyWithNonce(V_K,V_NB,V_evs)+ | c_Yahalom_OKeyWithNonce(V_K,V_NB,c_List_Olist_OCons(c_Event_Oevent_OSays(V_S,V_A,V_X),V_evs,tc_Event_Oevent)) )).++cnf(cls_Yahalom_OSays__Server__not__shrK_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(V_x)),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )).++cnf(cls_Yahalom_Onew__keys__not__used_0,axiom,+ ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)+ | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)+ | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | c_in(c_Message_Omsg_OKey(V_K),c_Event_Oused(V_evs),tc_Message_Omsg) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV005-6.ax view
@@ -0,0 +1,69 @@+%------------------------------------------------------------------------------+% File : SWV005-6 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for Yahalom, A Said+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Yahalom__A_Said.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 8 ( 1 non-Horn; 0 unit; 8 RR)+% Number of atoms : 28 ( 4 equality)+% Maximal clause size : 4 ( 4 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 24 ( 9 constant; 0-4 arity)+% Number of variables : 62 ( 29 singleton)+% Maximal term depth : 9 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-1.ax, SWV005-0.ax, SWV005-2.ax,+% SWV005-3.ax, SWV005-4.ax, SWV005-5.ax+%------------------------------------------------------------------------------+cnf(cls_Event_OSays__imp__knows__Spy_0,axiom,+ ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OCrypt__Spy__analz__bad_0,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Public_OCrypt__imp__keysFor_0,axiom,+ ( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)+ | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)+ | c_in(V_K,c_Message_OkeysFor(V_H),tc_nat) )).++cnf(cls_Yahalom_OB__trusts__YM4__shrK_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_B,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(V_A,V_B,V_K,V_evs)),c_Message_Omsg_ONonce(v_sko__2jj(V_A,V_B,V_K,V_evs)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )).++cnf(cls_Yahalom_Ounique__session__keys_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_A = V_A_H )).++cnf(cls_Yahalom_Ounique__session__keys_1,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_B = V_B_H )).++cnf(cls_Yahalom_Ounique__session__keys_2,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_na = V_na_H )).++cnf(cls_Yahalom_Ounique__session__keys_3,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_nb = V_nb_H )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV005-7.ax view
@@ -0,0 +1,114 @@+%------------------------------------------------------------------------------+% File : SWV005-7 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for Yahalom, Spy+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Yahalom__Spy.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 14 ( 6 non-Horn; 0 unit; 14 RR)+% Number of atoms : 61 ( 11 equality)+% Maximal clause size : 6 ( 4 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 23 ( 7 constant; 0-3 arity)+% Number of variables : 131 ( 69 singleton)+% Maximal term depth : 8 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-1.ax, SWV005-0.ax, SWV005-2.ax,+% SWV005-3.ax, SWV005-4.ax, SWV005-5.ax+%------------------------------------------------------------------------------+cnf(cls_Event_OSays__imp__spies_0,axiom,+ ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_Oanalz__shrK__Decrypt_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Yahalom_OSays__Server__imp__YM2_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(V_k,c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )).++cnf(cls_Yahalom_OSays__unique__NB_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OGets(V_S_H,c_Message_Omsg_OMPair(V_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(V_C,V_S,c_Message_Omsg_OMPair(V_X,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | V_NA_H = V_NA )).++cnf(cls_Yahalom_OSays__unique__NB_1,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OGets(V_S_H,c_Message_Omsg_OMPair(V_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(V_C,V_S,c_Message_Omsg_OMPair(V_X,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | V_A_H = V_A )).++cnf(cls_Yahalom_OSays__unique__NB_2,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OGets(V_S_H,c_Message_Omsg_OMPair(V_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(V_C,V_S,c_Message_Omsg_OMPair(V_X,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | V_B_H = V_B )).++cnf(cls_Yahalom_OSpy__not__see__encrypted__key_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_B,c_Event_Obad,tc_Message_Oagent)+ | c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_na,c_Message_Omsg_OMPair(V_nb,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )).++cnf(cls_Yahalom_Ono__nonce__YM1__YM2_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,c_Message_Omsg_ONonce(V_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),V_nb_H))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Yahalom_Osingle__Nonce__secrecy_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_KAB),c_Message_Omsg_OMPair(V_na,c_Message_Omsg_ONonce(V_NB_H))))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg)+ | c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | V_NB = V_NB_H+ | V_KAB = c_Public_OshrK(v_sko__2VY(V_KAB)) )).++cnf(cls_Yahalom_Osingle__Nonce__secrecy_1,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_KAB),c_Message_Omsg_OMPair(V_na,c_Message_Omsg_ONonce(V_NB_H))))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg)+ | V_NB = V_NB_H+ | V_KAB = c_Public_OshrK(v_sko__2VY(V_KAB)) )).++cnf(cls_Yahalom_Ounique__session__keys__dest_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_A = V_A_H )).++cnf(cls_Yahalom_Ounique__session__keys__dest_1,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_B = V_B_H )).++cnf(cls_Yahalom_Ounique__session__keys__dest_2,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_na = V_na_H )).++cnf(cls_Yahalom_Ounique__session__keys__dest_3,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_nb = V_nb_H )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV006-0.ax view
@@ -0,0 +1,318 @@+%------------------------------------------------------------------------------+% File : SWV006-0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for public+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Public.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 79 ( 6 non-Horn; 31 unit; 75 RR)+% Number of atoms : 136 ( 72 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 24 ( 6 constant; 0-3 arity)+% Number of variables : 229 ( 119 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-2.ax+%------------------------------------------------------------------------------+cnf(cls_Event_OServer_A_58_Abad_A_61_61_62_AR_0,axiom,+ ( ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) )).++cnf(cls_Event_OSpy_A_58_Abad_0,axiom,+ ( c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) )).++cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,+ ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Event_Oevent_Odistinct__1__iff1_0,axiom,+ ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) )).++cnf(cls_Event_Oevent_Odistinct__2__iff1_0,axiom,+ ( c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) )).++cnf(cls_Event_Oevent_Odistinct__3__iff1_0,axiom,+ ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) )).++cnf(cls_Event_Oevent_Odistinct__4__iff1_0,axiom,+ ( c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) )).++cnf(cls_Event_Oevent_Odistinct__5__iff1_0,axiom,+ ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) )).++cnf(cls_Event_Oevent_Odistinct__6__iff1_0,axiom,+ ( c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) )).++cnf(cls_Event_Oevent_Oinject__1__iff1_0,axiom,+ ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)+ | V_agent1 = V_agent1_H )).++cnf(cls_Event_Oevent_Oinject__1__iff1_1,axiom,+ ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)+ | V_agent2 = V_agent2_H )).++cnf(cls_Event_Oevent_Oinject__1__iff1_2,axiom,+ ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Event_Oevent_Oinject__2__iff1_0,axiom,+ ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)+ | V_agent = V_agent_H )).++cnf(cls_Event_Oevent_Oinject__2__iff1_1,axiom,+ ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Event_Oevent_Oinject__3__iff1_0,axiom,+ ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)+ | V_agent = V_agent_H )).++cnf(cls_Event_Oevent_Oinject__3__iff1_1,axiom,+ ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Message_OCrypt__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OCrypt__synth_1,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OHPair__eq__MPair__iff1_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OMPair(V_X_H,V_Y_H)+ | V_X_H = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)) )).++cnf(cls_Message_OHPair__eq__MPair__iff1_1,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OMPair(V_X_H,V_Y_H)+ | V_Y_H = V_Y )).++cnf(cls_Message_OHPair__eq__MPair__iff2_0,axiom,+ ( c_Message_OHPair(V_X,V_x) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) )).++cnf(cls_Message_OHPair__eq__iff1_0,axiom,+ ( c_Message_OHPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)+ | V_X_H = V_X )).++cnf(cls_Message_OHPair__eq__iff1_1,axiom,+ ( c_Message_OHPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)+ | V_Y_H = V_Y )).++cnf(cls_Message_OHPair__neqs__1__iff1_0,axiom,+ ( c_Message_Omsg_OAgent(V_A) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHPair__neqs__2__iff1_0,axiom,+ ( c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHPair__neqs__3__iff1_0,axiom,+ ( c_Message_Omsg_ONumber(V_N) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHPair__neqs__4__iff1_0,axiom,+ ( c_Message_Omsg_OKey(V_K) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHPair__neqs__5__iff1_0,axiom,+ ( c_Message_Omsg_OHash(V_Z) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHPair__neqs__6__iff1_0,axiom,+ ( c_Message_Omsg_OCrypt(V_K,V_X_H) != c_Message_OHPair(V_X,V_Y) )).++cnf(cls_Message_OHash_91X_93_AY_A_61_AAgent_AA_A_61_61_62_AR_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OAgent(V_A) )).++cnf(cls_Message_OHash_91X_93_AY_A_61_ACrypt_AK_AX_H_A_61_61_62_AR_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OCrypt(V_K,V_X_H) )).++cnf(cls_Message_OHash_91X_93_AY_A_61_AHash_AZ_A_61_61_62_AR_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OHash(V_Z) )).++cnf(cls_Message_OHash_91X_93_AY_A_61_AKey_AK_A_61_61_62_AR_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OKey(V_K) )).++cnf(cls_Message_OHash_91X_93_AY_A_61_ANonce_AN_A_61_61_62_AR_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONonce(V_N) )).++cnf(cls_Message_OHash_91X_93_AY_A_61_ANumber_AN_A_61_61_62_AR_0,axiom,+ ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONumber(V_N) )).++cnf(cls_Message_OHash__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OKey__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OMPair__analz_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__analz_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__eq__HPair__iff1_0,axiom,+ ( c_Message_Omsg_OMPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)+ | V_X_H = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)) )).++cnf(cls_Message_OMPair__eq__HPair__iff1_1,axiom,+ ( c_Message_Omsg_OMPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)+ | V_Y_H = V_Y )).++cnf(cls_Message_OMPair__eq__HPair__iff2_0,axiom,+ ( c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) = c_Message_OHPair(V_X,V_x) )).++cnf(cls_Message_OMPair__parts_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__parts_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth__analz__iff1_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth__analz__iff1_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) )).++cnf(cls_Message_OMPair__synth__analz__iff2_0,axiom,+ ( ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) )).++cnf(cls_Message_ONonce__synth_0,axiom,+ ( ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg) )).++cnf(cls_Message_Oagent_Odistinct__1__iff1_0,axiom,+ ( c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H) )).++cnf(cls_Message_Oagent_Odistinct__2__iff1_0,axiom,+ ( c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer )).++cnf(cls_Message_Oagent_Odistinct__3__iff1_0,axiom,+ ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )).++cnf(cls_Message_Oagent_Odistinct__4__iff1_0,axiom,+ ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )).++cnf(cls_Message_Oagent_Odistinct__5__iff1_0,axiom,+ ( c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy )).++cnf(cls_Message_Oagent_Odistinct__6__iff1_0,axiom,+ ( c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat) )).++cnf(cls_Message_Oagent_Oinject__iff1_0,axiom,+ ( c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OFriend(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Oanalz_OInj_0,axiom,+ ( ~ c_in(V_X,V_H,tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__analzD__dest_0,axiom,+ ( ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oin__parts__UnE_0,axiom,+ ( ~ c_in(V_c,c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),tc_Message_Omsg)+ | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) )).++cnf(cls_Message_Omsg_Oinject__1__iff1_0,axiom,+ ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)+ | V_agent = V_agent_H )).++cnf(cls_Message_Omsg_Oinject__2__iff1_0,axiom,+ ( c_Message_Omsg_ONumber(V_nat) != c_Message_Omsg_ONumber(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__3__iff1_0,axiom,+ ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__4__iff1_0,axiom,+ ( c_Message_Omsg_OKey(V_nat) != c_Message_Omsg_OKey(V_nat_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__5__iff1_0,axiom,+ ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Message_Omsg_Oinject__6__iff1_0,axiom,+ ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)+ | V_msg1 = V_msg1_H )).++cnf(cls_Message_Omsg_Oinject__6__iff1_1,axiom,+ ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)+ | V_msg2 = V_msg2_H )).++cnf(cls_Message_Omsg_Oinject__7__iff1_0,axiom,+ ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)+ | V_nat = V_nat_H )).++cnf(cls_Message_Omsg_Oinject__7__iff1_1,axiom,+ ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)+ | V_msg = V_msg_H )).++cnf(cls_Message_Oparts_OInj_0,axiom,+ ( ~ c_in(V_X,V_H,tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__emptyE_0,axiom,+ ( ~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg) )).++cnf(cls_Message_Oparts__partsD__dest_0,axiom,+ ( ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OAgent_0,axiom,+ ( c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OCrypt_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)+ | c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OHash_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OInj_0,axiom,+ ( ~ c_in(V_X,V_H,tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_OMPair_0,axiom,+ ( ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)+ | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)+ | c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth_ONumber_0,axiom,+ ( c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Osynth__synthD__dest_0,axiom,+ ( ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV006-1.ax view
@@ -0,0 +1,155 @@+%------------------------------------------------------------------------------+% File : SWV006-1 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for Otway Rees+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : OtwayRees.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 36 ( 0 non-Horn; 19 unit; 24 RR)+% Number of atoms : 59 ( 12 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 31 ( 10 constant; 0-3 arity)+% Number of variables : 92 ( 55 singleton)+% Maximal term depth : 6 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-2.ax, SWV006-0.ax+%------------------------------------------------------------------------------+cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,+ ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,+ ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)+ | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz_ODecrypt__dest_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,+ ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts_OBody__dest_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,+ ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )).++cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,+ ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_A,c_Event_Obad,tc_Message_Oagent) )).++cnf(cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0,axiom,+ ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OAgent(V_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_A,c_Event_Obad,tc_Message_Oagent) )).++cnf(cls_Public_OMPair__used_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg) )).++cnf(cls_Public_OMPair__used_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg) )).++cnf(cls_Public_ONonce__notin__initState__iff1_0,axiom,+ ( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) )).++cnf(cls_Public_OSpy__spies__bad__privateKey_0,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_Oanalz__spies__pubK_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Public_Okeymode_Odistinct__1__iff1_0,axiom,+ ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption )).++cnf(cls_Public_Okeymode_Odistinct__2__iff1_0,axiom,+ ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature )).++cnf(cls_Public_Onot__symKeys__priK__iff1_0,axiom,+ ( ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_Onot__symKeys__pubK__iff1_0,axiom,+ ( ~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OpriK__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_OinitState(V_A),tc_Message_Omsg) )).++cnf(cls_Public_OpriK__neq__shrK__iff1_0,axiom,+ ( c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) )).++cnf(cls_Public_OprivateKey_Ab_AA_A_61_ApublicKey_Ac_AA_H_A_61_61_62_AR_0,axiom,+ ( c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H) )).++cnf(cls_Public_OprivateKey__into__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OpubK__neq__shrK__iff1_0,axiom,+ ( c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C) )).++cnf(cls_Public_OpublicKey__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) )).++cnf(cls_Public_OpublicKey__inject__iff1_0,axiom,+ ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)+ | V_b = V_c )).++cnf(cls_Public_OpublicKey__inject__iff1_1,axiom,+ ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)+ | V_A = V_A_H )).++cnf(cls_Public_OpublicKey__into__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OpublicKey__neq__privateKey__iff1_0,axiom,+ ( c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) )).++cnf(cls_Public_OshrK_AX_A_58_AsymKeys_0,axiom,+ ( c_in(c_Public_OshrK(V_X),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OshrK__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__in__knows_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__in__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__injective__iff1_0,axiom,+ ( c_Public_OshrK(V_x) != c_Public_OshrK(V_y)+ | V_x = V_y )).++cnf(cls_Public_Ospies__pubK_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OsymKeys__invKey__iff__iff1_0,axiom,+ ( ~ c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)+ | c_in(V_K,c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OsymKeys__invKey__iff__iff2_0,axiom,+ ( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)+ | c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV006-2.ax view
@@ -0,0 +1,144 @@+%------------------------------------------------------------------------------+% File : SWV006-2 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for Otway Rees, version 2+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : OtwayRees2.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 34 ( 0 non-Horn; 19 unit; 22 RR)+% Number of atoms : 52 ( 12 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 30 ( 10 constant; 0-3 arity)+% Number of variables : 84 ( 52 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-2.ax, SWV006-0.ax+%------------------------------------------------------------------------------+cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,+ ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,+ ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)+ | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz_ODecrypt__dest_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,+ ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts_OBody__dest_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,+ ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )).++cnf(cls_Public_OMPair__used_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg) )).++cnf(cls_Public_OMPair__used_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg) )).++cnf(cls_Public_ONonce__notin__initState__iff1_0,axiom,+ ( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) )).++cnf(cls_Public_OSpy__spies__bad__privateKey_0,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_Oanalz__spies__pubK_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Public_Okeymode_Odistinct__1__iff1_0,axiom,+ ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption )).++cnf(cls_Public_Okeymode_Odistinct__2__iff1_0,axiom,+ ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature )).++cnf(cls_Public_Onot__symKeys__priK__iff1_0,axiom,+ ( ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_Onot__symKeys__pubK__iff1_0,axiom,+ ( ~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OpriK__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_OinitState(V_A),tc_Message_Omsg) )).++cnf(cls_Public_OpriK__neq__shrK__iff1_0,axiom,+ ( c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) )).++cnf(cls_Public_OprivateKey_Ab_AA_A_61_ApublicKey_Ac_AA_H_A_61_61_62_AR_0,axiom,+ ( c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H) )).++cnf(cls_Public_OprivateKey__into__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OpubK__neq__shrK__iff1_0,axiom,+ ( c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C) )).++cnf(cls_Public_OpublicKey__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) )).++cnf(cls_Public_OpublicKey__inject__iff1_0,axiom,+ ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)+ | V_b = V_c )).++cnf(cls_Public_OpublicKey__inject__iff1_1,axiom,+ ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)+ | V_A = V_A_H )).++cnf(cls_Public_OpublicKey__into__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OpublicKey__neq__privateKey__iff1_0,axiom,+ ( c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) )).++cnf(cls_Public_OshrK_AX_A_58_AsymKeys_0,axiom,+ ( c_in(c_Public_OshrK(V_X),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OshrK__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__in__knows_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__in__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__injective__iff1_0,axiom,+ ( c_Public_OshrK(V_x) != c_Public_OshrK(V_y)+ | V_x = V_y )).++cnf(cls_Public_Ospies__pubK_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OsymKeys__invKey__iff__iff1_0,axiom,+ ( ~ c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)+ | c_in(V_K,c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OsymKeys__invKey__iff__iff2_0,axiom,+ ( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)+ | c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV006-3.ax view
@@ -0,0 +1,193 @@+%------------------------------------------------------------------------------+% File : SWV006-3 : TPTP v7.2.0. Released v3.2.0.+% Domain : Software Verification+% Axioms : Cryptographic protocol axioms for Yahalom, version B+% Version : [Pau06] axioms.+% English :++% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe+% Source : [Pau06]+% Names : Yahalom__B.ax [Pau06]++% Status : Satisfiable+% Syntax : Number of clauses : 43 ( 1 non-Horn; 19 unit; 31 RR)+% Number of atoms : 83 ( 16 equality)+% Maximal clause size : 4 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 32 ( 11 constant; 0-3 arity)+% Number of variables : 150 ( 81 singleton)+% Maximal term depth : 7 ( 2 average)+% SPC : ++% Comments : Requires MSC001-0.ax, MSC001-2.ax, SWV006-0.ax+%------------------------------------------------------------------------------+cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,+ ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Event_OSays__imp__spies_0,axiom,+ ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,+ ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)+ | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)+ | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz_ODecrypt__dest_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,+ ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)+ | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Message_Oparts_OBody__dest_0,axiom,+ ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) )).++cnf(cls_Public_OCrypt__Spy__analz__bad_0,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Public_OMPair__used_0,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)+ | c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg) )).++cnf(cls_Public_OMPair__used_1,axiom,+ ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)+ | c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg) )).++cnf(cls_Public_ONonce__notin__initState__iff1_0,axiom,+ ( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) )).++cnf(cls_Public_OSpy__spies__bad__privateKey_0,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,+ ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_Oanalz__spies__pubK_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Public_Okeymode_Odistinct__1__iff1_0,axiom,+ ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption )).++cnf(cls_Public_Okeymode_Odistinct__2__iff1_0,axiom,+ ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature )).++cnf(cls_Public_Onot__symKeys__priK__iff1_0,axiom,+ ( ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_Onot__symKeys__pubK__iff1_0,axiom,+ ( ~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OpriK__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_OinitState(V_A),tc_Message_Omsg) )).++cnf(cls_Public_OpriK__neq__shrK__iff1_0,axiom,+ ( c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)) )).++cnf(cls_Public_OprivateKey_Ab_AA_A_61_ApublicKey_Ac_AA_H_A_61_61_62_AR_0,axiom,+ ( c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H) )).++cnf(cls_Public_OprivateKey__into__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A))),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OpubK__neq__shrK__iff1_0,axiom,+ ( c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C) )).++cnf(cls_Public_OpublicKey__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) )).++cnf(cls_Public_OpublicKey__inject__iff1_0,axiom,+ ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)+ | V_b = V_c )).++cnf(cls_Public_OpublicKey__inject__iff1_1,axiom,+ ( c_Public_OpublicKey(V_b,V_A) != c_Public_OpublicKey(V_c,V_A_H)+ | V_A = V_A_H )).++cnf(cls_Public_OpublicKey__into__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OpublicKey__neq__privateKey__iff1_0,axiom,+ ( c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) )).++cnf(cls_Public_OshrK_AX_A_58_AsymKeys_0,axiom,+ ( c_in(c_Public_OshrK(V_X),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OshrK__in__initState_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__in__knows_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__in__used_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OshrK__injective__iff1_0,axiom,+ ( c_Public_OshrK(V_x) != c_Public_OshrK(V_y)+ | V_x = V_y )).++cnf(cls_Public_Ospies__pubK_0,axiom,+ ( c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )).++cnf(cls_Public_OsymKeys__invKey__iff__iff1_0,axiom,+ ( ~ c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)+ | c_in(V_K,c_Message_OsymKeys,tc_nat) )).++cnf(cls_Public_OsymKeys__invKey__iff__iff2_0,axiom,+ ( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)+ | c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat) )).++cnf(cls_Yahalom_OA__trusts__YM3_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_A,c_Event_Obad,tc_Message_Oagent)+ | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )).++cnf(cls_Yahalom_OGets__imp__Says_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(c_Event_Oevent_OSays(v_sko__wPE(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) )).++cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) )).++cnf(cls_Yahalom_OSpy__see__shrK__D__dest_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)+ | c_in(V_A,c_Event_Obad,tc_Message_Oagent) )).++cnf(cls_Yahalom_Ounique__session__keys__dest_0,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_A = V_A_H )).++cnf(cls_Yahalom_Ounique__session__keys__dest_1,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_B = V_B_H )).++cnf(cls_Yahalom_Ounique__session__keys__dest_2,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_na = V_na_H )).++cnf(cls_Yahalom_Ounique__session__keys__dest_3,axiom,+ ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)+ | V_nb = V_nb_H )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SWV013-0.ax view
@@ -0,0 +1,89 @@+%------------------------------------------------------------------------------+% File : SWV013-0 : TPTP v7.2.0. Released v5.2.0.+% Domain : Software Verification+% Axioms : Lists in Separation Logic+% Version : [Nav11] axioms.+% English : Axioms for proving entailments between separation logic formulas+% with list predicates.++% Refs : [BCO05] Berdine et al. (2005), Symbolic Execution with Separat+% : [RN11] Rybalchenko & Navarro Perez (2011), Separation Logic ++% : [Nav11] Navarro Perez (2011), Email to Geoff Sutcliffe+% Source : [Nav11]+% Names : SepLogicLists [Nav11]++% Status : Satisfiable+% Syntax : Number of clauses : 11 ( 3 non-Horn; 4 unit; 9 RR)+% Number of atoms : 21 ( 8 equality)+% Maximal clause size : 3 ( 2 average)+% Number of predicates : 2 ( 0 propositional; 1-2 arity)+% Number of functors : 4 ( 1 constant; 0-2 arity)+% Number of variables : 38 ( 9 singleton)+% Maximal term depth : 5 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----S * T * Sigma = T * S * Sigma.+cnf(associative_commutative,axiom,+ ( sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)) )).++%----lseg(X, X) * Sigma = Sigma.+cnf(normalization,axiom,+ ( sep(lseg(X, X), Sigma) = Sigma )).++%----next(nil, Y) * Sigma --> bot.+cnf(wellformedness_1,axiom,+ ( ~ heap(sep(next(nil, Y), Sigma)) )).++%----lseg(nil, Y) * Sigma --> Y = nil.+cnf(wellformedness_2,axiom,+ ( ~ heap(sep(lseg(nil, Y), Sigma))+ | Y = nil )).++%----next(X, Y) * next(X, Z) * Sigma --> bot.+cnf(wellformedness_3,axiom,+ ( ~ heap(sep(next(X, Y), sep(next(X, Z), Sigma))) )).++%----next(X, Y) * lseg(X, Z) * Sigma --> X = Z.+cnf(wellformedness_4,axiom,+ ( ~ heap(sep(next(X, Y), sep(lseg(X, Z), Sigma)))+ | X = Z )).++%----lseg(X, Y) * lseg(X, Z) * Sigma --> X = Y, X = Z.+cnf(wellformedness_5,axiom,+ ( ~ heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))+ | X = Y+ | X = Z )).++%----next(X, Z) * Sigma --> X = Z, lseg(X, Z) * Sigma. (REDUNDANT: U2 + NORM)+%cnf(unfolding_1,axiom,+% ( ~ heap(sep(next(X, Z), Sigma))+% | X = Z+% | heap(sep(lseg(X, Z), Sigma)) )).++%----next(X, Y) * lseg(Y, Z) * Sigma --> X = Y, lseg(X, Z) * Sigma.+cnf(unfolding_2,axiom,+ ( ~ heap(sep(next(X, Y), sep(lseg(Y, Z), Sigma)))+ | X = Y+ | heap(sep(lseg(X, Z), Sigma)) )).++%----lseg(X, Y) * lseg(Y, nil) * Sigma --> lseg(X, nil) * Sigma.+cnf(unfolding_3,axiom,+ ( ~ heap(sep(lseg(X, Y), sep(lseg(Y, nil), Sigma)))+ | heap(sep(lseg(X, nil), Sigma)) )).++%----lseg(X, Y) * lseg(Y, Z) * next(Z, W) * Sigma --> +%---- lseg(X, Z) * next(Z, W) * Sigma.+cnf(unfolding_4,axiom,+ ( ~ heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(next(Z, W), Sigma))))+ | heap(sep(lseg(X, Z), sep(next(Z, W), Sigma))) )).++%----lseg(X, Y) * lseg(Y, Z) * lseg(Z, W) * Sigma --> +%---- Z = W, lseg(X, Z) * lseg(Z, W) * Sigma.+cnf(unfolding_5,axiom,+ ( ~ heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))+ | Z = W+ | heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) )).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SYN000-0.ax view
@@ -0,0 +1,34 @@+%------------------------------------------------------------------------------+% File : SYN000-0 : TPTP v7.2.0. Released v3.6.0.+% Domain : Syntactic+% Axioms : A simple include file for CNF+% Version : Biased.+% English :++% Refs :+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 3 RR)+% Number of atoms : 3 ( 0 equality)+% Maximal clause size : 1 ( 1 average)+% Number of predicates : 3 ( 3 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 singleton)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Some axioms to include+cnf(ia1,axiom,+ ia1).++cnf(ia2,axiom,+ ia2).++cnf(ia3,axiom,+ ia3).++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SYN000-1.p view
@@ -0,0 +1,83 @@+%------------------------------------------------------------------------------+% File : SYN000-1 : TPTP v7.2.0. Released v4.0.0.+% Domain : Syntactic+% Problem : Basic TPTP CNF syntax+% Version : Biased.+% English : Basic TPTP CNF syntax that you can't survive without parsing.++% Refs :+% Source : [TPTP]+% Names :++% Status : Unsatisfiable+% Rating : 0.17 v7.0.0, 0.27 v6.2.0, 0.40 v6.1.0, 0.36 v6.0.0, 0.50 v5.4.0, 0.55 v5.3.0, 0.56 v5.2.0, 0.62 v5.1.0, 0.65 v5.0.0, 0.64 v4.1.0, 0.62 v4.0.1, 0.64 v4.0.0+% Syntax : Number of clauses : 11 ( 6 non-Horn; 5 unit; 7 RR)+% Number of atoms : 27 ( 3 equality)+% Maximal clause size : 5 ( 2 average)+% Number of predicates : 16 ( 10 propositional; 0-3 arity)+% Number of functors : 8 ( 5 constant; 0-3 arity)+% Number of variables : 11 ( 5 singleton)+% Maximal term depth : 4 ( 2 average)+% SPC : CNF_UNS_RFO_SEQ_NHN++% Comments :+%------------------------------------------------------------------------------+%----Propositional+cnf(propositional,axiom,+ ( p0+ | ~ q0+ | r0+ | ~ s0 )).++%----First-order+cnf(first_order,axiom,+ ( p(X)+ | ~ q(X,a)+ | r(X,f(Y),g(X,f(Y),Z))+ | ~ s(f(f(f(b)))) )).++%----Equality+cnf(equality,axiom,+ ( f(Y) = g(X,f(Y),Z)+ | f(f(f(b))) != a+ | X = f(Y) )).++%----True and false+cnf(true_false,axiom,+ ( $true+ | $false )).++%----Quoted symbols+cnf(single_quoted,axiom,+ ( 'A proposition'+ | 'A predicate'(Y)+ | p('A constant')+ | p('A function'(a))+ | p('A \'quoted \\ escape\'') )).++%----Connectives - seen them all already++%----Annotated formula names+cnf(123,axiom,+ ( p(X)+ | ~ q(X,a)+ | r(X,f(Y),g(X,f(Y),Z))+ | ~ s(f(f(f(b)))) )).++%----Roles - seen axiom already+cnf(role_hypothesis,hypothesis,+ p(h)).++cnf(role_negated_conjecture,negated_conjecture,+ ~ p(X)).++%----Include directive+include('Axioms/SYN000-0.ax').++%----Comments+/* This+ is a block+ comment.+*/++%------------------------------------------------------------------------------
+ test-data/tptp/cnf/SYN001-0.ax view
@@ -0,0 +1,1821 @@+%--------------------------------------------------------------------------+% File : SYN001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Syntactic (Random Prolog Theory)+% Axioms : Synthetic domain theory for EBL+% Version : [SE94] axioms : Especial.+% English :++% Refs : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B+% Source : [SE94]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 368 ( 0 non-Horn; 38 unit; 361 RR)+% Number of atoms : 1059 ( 0 equality)+% Maximal clause size : 5 ( 3 average)+% Number of predicates : 48 ( 0 propositional; 1-3 arity)+% Number of functors : 5 ( 5 constant; 0-0 arity)+% Number of variables : 626 ( 160 singleton)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : This theory has a finite deductive closure.+%--------------------------------------------------------------------------+%----Facts+cnf(axiom_1,axiom,+ ( s0(d) )).++cnf(axiom_2,axiom,+ ( q0(e,d) )).++cnf(axiom_3,axiom,+ ( n0(d,e) )).++cnf(axiom_4,axiom,+ ( m0(e,d,a) )).++cnf(axiom_5,axiom,+ ( s0(b) )).++cnf(axiom_6,axiom,+ ( q0(b,b) )).++cnf(axiom_7,axiom,+ ( n0(d,b) )).++cnf(axiom_8,axiom,+ ( m0(e,d,e) )).++cnf(axiom_9,axiom,+ ( r0(b) )).++cnf(axiom_10,axiom,+ ( p0(b,d) )).++cnf(axiom_11,axiom,+ ( n0(e,b) )).++cnf(axiom_12,axiom,+ ( m0(a,X,a) )).++cnf(axiom_13,axiom,+ ( r0(e) )).++cnf(axiom_14,axiom,+ ( p0(b,X) )).++cnf(axiom_15,axiom,+ ( n0(a,b) )).++cnf(axiom_16,axiom,+ ( m0(c,b,a) )).++cnf(axiom_17,axiom,+ ( q0(X,d) )).++cnf(axiom_18,axiom,+ ( p0(c,b) )).++cnf(axiom_19,axiom,+ ( m0(X,d,Y) )).++cnf(axiom_20,axiom,+ ( l0(a) )).++cnf(axiom_21,axiom,+ ( q0(b,e) )).++cnf(axiom_22,axiom,+ ( p0(b,c) )).++cnf(axiom_23,axiom,+ ( m0(a,e,e) )).++cnf(axiom_24,axiom,+ ( l0(c) )).++cnf(axiom_25,axiom,+ ( q0(d,d) )).++cnf(axiom_26,axiom,+ ( n0(d,c) )).++cnf(axiom_27,axiom,+ ( m0(e,b,c) )).++cnf(axiom_28,axiom,+ ( k0(e) )).++cnf(axiom_29,axiom,+ ( q0(d,b) )).++cnf(axiom_30,axiom,+ ( n0(e,e) )).++cnf(axiom_31,axiom,+ ( m0(b,b,e) )).++cnf(axiom_32,axiom,+ ( k0(b) )).++cnf(axiom_33,axiom,+ ( q0(d,c) )).++cnf(axiom_34,axiom,+ ( n0(c,d) )).++cnf(axiom_35,axiom,+ ( m0(d,e,c) )).++cnf(axiom_36,axiom,+ ( q0(a,b) )).++cnf(axiom_37,axiom,+ ( n0(b,a) )).++cnf(axiom_38,axiom,+ ( m0(b,a,a) )).++%----Rules+cnf(rule_001,axiom,+ ( k1(I)+ | ~ n0(J,I) )).++cnf(rule_002,axiom,+ ( l1(G,G)+ | ~ n0(H,G) )).++cnf(rule_003,axiom,+ ( l1(C,D)+ | ~ p0(E,C)+ | ~ r0(F)+ | ~ m0(D,C,E) )).++cnf(rule_004,axiom,+ ( l1(A,A)+ | ~ k1(A)+ | ~ l0(B)+ | ~ l1(B,B) )).++cnf(rule_005,axiom,+ ( m1(B,C,B)+ | ~ m0(C,C,B) )).++cnf(rule_006,axiom,+ ( m1(J,J,J)+ | ~ m0(A,A,J) )).++cnf(rule_007,axiom,+ ( m1(G,H,G)+ | ~ p0(I,H)+ | ~ r0(G) )).++cnf(rule_008,axiom,+ ( m1(b,b,b)+ | ~ l0(b) )).++cnf(rule_009,axiom,+ ( m1(D,D,D)+ | ~ s0(E)+ | ~ r0(E)+ | ~ q0(F,D) )).++cnf(rule_010,axiom,+ ( m1(B,B,c)+ | ~ n0(C,C)+ | ~ l1(c,c)+ | ~ p0(C,B) )).++cnf(rule_011,axiom,+ ( m1(J,J,A)+ | ~ k0(J)+ | ~ n0(A,A) )).++cnf(rule_012,axiom,+ ( m1(e,e,e)+ | ~ r0(e) )).++cnf(rule_013,axiom,+ ( m1(H,H,H)+ | ~ q0(I,H) )).++cnf(rule_014,axiom,+ ( m1(E,E,E)+ | ~ m0(F,G,E) )).++cnf(rule_015,axiom,+ ( m1(B,C,C)+ | ~ l0(D)+ | ~ m0(C,C,B) )).++cnf(rule_016,axiom,+ ( m1(H,I,I)+ | ~ m1(J,I,H)+ | ~ m1(J,A,I) )).++cnf(rule_017,axiom,+ ( m1(F,F,F)+ | ~ s0(F)+ | ~ q0(G,d) )).++cnf(rule_018,axiom,+ ( m1(C,C,C)+ | ~ q0(D,E)+ | ~ q0(D,C) )).++cnf(rule_019,axiom,+ ( m1(A,B,c)+ | ~ r0(c)+ | ~ s0(d)+ | ~ q0(B,d)+ | ~ p0(A,B) )).++cnf(rule_020,axiom,+ ( m1(c,c,c)+ | ~ l0(c) )).++cnf(rule_021,axiom,+ ( m1(I,J,I)+ | ~ l0(I)+ | ~ k0(J) )).++cnf(rule_022,axiom,+ ( m1(e,e,e)+ | ~ s0(e) )).++cnf(rule_023,axiom,+ ( m1(a,a,a)+ | ~ l0(a)+ | ~ s0(d) )).++cnf(rule_024,axiom,+ ( m1(F,a,G)+ | ~ m0(a,H,a)+ | ~ q0(F,G)+ | ~ m1(G,c,G) )).++cnf(rule_025,axiom,+ ( m1(C,C,C)+ | ~ m0(D,E,C) )).++cnf(rule_026,axiom,+ ( m1(A,A,A)+ | ~ l0(A)+ | ~ l0(B)+ | ~ p0(B,d) )).++cnf(rule_027,axiom,+ ( m1(b,b,b)+ | ~ q0(c,d)+ | ~ l1(a,b) )).++cnf(rule_028,axiom,+ ( m1(J,J,J)+ | ~ l0(J)+ | ~ k0(J)+ | ~ m0(J,J,J) )).++cnf(rule_029,axiom,+ ( m1(H,I,H)+ | ~ p0(H,I)+ | ~ s0(H) )).++cnf(rule_030,axiom,+ ( m1(e,e,e)+ | ~ r0(e) )).++cnf(rule_031,axiom,+ ( m1(c,a,c)+ | ~ r0(e)+ | ~ m0(a,e,c)+ | ~ r0(G)+ | ~ k0(e) )).++cnf(rule_032,axiom,+ ( m1(F,F,F)+ | ~ s0(F) )).++cnf(rule_033,axiom,+ ( m1(C,C,C)+ | ~ q0(D,D)+ | ~ m1(E,D,C) )).++cnf(rule_034,axiom,+ ( m1(A,B,B)+ | ~ k1(a)+ | ~ k1(B)+ | ~ q0(A,A) )).++cnf(rule_035,axiom,+ ( m1(I,J,I)+ | ~ r0(I)+ | ~ l0(J) )).++cnf(rule_036,axiom,+ ( n1(A,A,B)+ | ~ m0(b,B,A) )).++cnf(rule_037,axiom,+ ( n1(H,I,H)+ | ~ p0(J,H)+ | ~ l0(I)+ | ~ r0(H) )).++cnf(rule_038,axiom,+ ( n1(G,G,G)+ | ~ n0(G,G)+ | ~ q0(a,G) )).++cnf(rule_039,axiom,+ ( n1(E,c,E)+ | ~ m0(F,E,c) )).++cnf(rule_040,axiom,+ ( n1(C,e,e)+ | ~ m0(C,D,e)+ | ~ k1(C) )).++cnf(rule_041,axiom,+ ( n1(e,e,B)+ | ~ s0(b)+ | ~ m1(b,B,e) )).++cnf(rule_042,axiom,+ ( n1(H,H,H)+ | ~ m0(I,J,I)+ | ~ k0(H)+ | ~ q0(A,J) )).++cnf(rule_043,axiom,+ ( n1(G,G,G)+ | ~ k1(G)+ | ~ p0(G,G) )).++cnf(rule_044,axiom,+ ( n1(D,E,D)+ | ~ p0(D,D)+ | ~ p0(E,F) )).++cnf(rule_045,axiom,+ ( n1(d,d,d)+ | ~ q0(d,d) )).++cnf(rule_046,axiom,+ ( n1(A,A,A)+ | ~ m1(B,C,A)+ | ~ k0(B) )).++cnf(rule_047,axiom,+ ( n1(I,d,J)+ | ~ p0(J,J)+ | ~ r0(I)+ | ~ l1(J,d) )).++cnf(rule_048,axiom,+ ( n1(F,F,F)+ | ~ m0(G,H,H)+ | ~ m0(H,F,G)+ | ~ n1(F,F,F) )).++cnf(rule_049,axiom,+ ( n1(c,c,c)+ | ~ l0(c) )).++cnf(rule_050,axiom,+ ( n1(D,E,D)+ | ~ s0(b)+ | ~ l0(D)+ | ~ p0(b,E) )).++cnf(rule_051,axiom,+ ( n1(B,B,B)+ | ~ m1(c,B,C)+ | ~ m0(b,C,c)+ | ~ n1(C,B,C) )).++cnf(rule_052,axiom,+ ( n1(I,I,I)+ | ~ m0(J,J,J)+ | ~ k1(I)+ | ~ s0(I)+ | ~ p0(A,J) )).++cnf(rule_053,axiom,+ ( n1(a,H,b)+ | ~ p0(H,d)+ | ~ p0(a,b) )).++cnf(rule_054,axiom,+ ( n1(E,F,F)+ | ~ l0(G)+ | ~ l1(G,E)+ | ~ n1(E,F,E) )).++cnf(rule_055,axiom,+ ( n1(d,e,e)+ | ~ p0(d,d)+ | ~ n1(e,e,e)+ | ~ r0(b) )).++cnf(rule_056,axiom,+ ( n1(a,a,a)+ | ~ l0(a)+ | ~ r0(a) )).++cnf(rule_057,axiom,+ ( n1(D,D,D)+ | ~ r0(D) )).++cnf(rule_058,axiom,+ ( n1(B,B,B)+ | ~ l1(C,B)+ | ~ n0(C,B) )).++cnf(rule_059,axiom,+ ( n1(H,H,I)+ | ~ m0(J,A,A)+ | ~ m0(I,J,H) )).++cnf(rule_060,axiom,+ ( n1(d,d,b)+ | ~ q0(b,e)+ | ~ m1(d,e,e)+ | ~ k0(b) )).++cnf(rule_061,axiom,+ ( n1(G,G,G)+ | ~ k0(G)+ | ~ s0(G) )).++cnf(rule_062,axiom,+ ( n1(D,D,D)+ | ~ m0(E,E,F)+ | ~ n1(E,D,E) )).++cnf(rule_063,axiom,+ ( p1(D,D,E)+ | ~ n0(d,D)+ | ~ k0(E) )).++cnf(rule_064,axiom,+ ( p1(A,A,A)+ | ~ m0(B,C,b)+ | ~ l0(A) )).++cnf(rule_065,axiom,+ ( p1(I,I,I)+ | ~ l1(J,J)+ | ~ p0(I,J)+ | ~ n0(J,J) )).++cnf(rule_066,axiom,+ ( p1(G,G,G)+ | ~ n0(H,G) )).++cnf(rule_067,axiom,+ ( p1(E,E,E)+ | ~ q0(F,E) )).++cnf(rule_068,axiom,+ ( p1(D,D,D)+ | ~ k0(D) )).++cnf(rule_069,axiom,+ ( p1(B,B,C)+ | ~ p0(C,B) )).++cnf(rule_070,axiom,+ ( p1(c,c,c)+ | ~ p0(a,c) )).++cnf(rule_071,axiom,+ ( p1(H,I,H)+ | ~ l0(J)+ | ~ p1(I,A,H)+ | ~ s0(b) )).++cnf(rule_072,axiom,+ ( p1(F,F,F)+ | ~ s0(G)+ | ~ s0(F) )).++cnf(rule_073,axiom,+ ( p1(D,D,D)+ | ~ n0(e,b)+ | ~ k0(b)+ | ~ k0(D)+ | ~ k1(E) )).++cnf(rule_074,axiom,+ ( p1(B,B,C)+ | ~ p0(C,B)+ | ~ r0(B) )).++cnf(rule_075,axiom,+ ( p1(a,a,a)+ | ~ p0(b,a) )).++cnf(rule_076,axiom,+ ( p1(b,b,b)+ | ~ p1(b,b,b)+ | ~ s0(d) )).++cnf(rule_077,axiom,+ ( p1(c,e,b)+ | ~ m0(b,c,e) )).++cnf(rule_078,axiom,+ ( p1(d,d,b)+ | ~ p0(d,b)+ | ~ m0(e,a,a) )).++cnf(rule_079,axiom,+ ( p1(A,A,A)+ | ~ k0(e)+ | ~ k1(A)+ | ~ l0(c) )).++cnf(rule_080,axiom,+ ( p1(G,G,G)+ | ~ n0(H,H)+ | ~ l0(I)+ | ~ n1(H,J,G) )).++cnf(rule_081,axiom,+ ( p1(B,B,B)+ | ~ m1(C,D,B)+ | ~ q0(D,E)+ | ~ l0(F) )).++cnf(rule_082,axiom,+ ( p1(H,I,J)+ | ~ m0(J,H,A)+ | ~ p1(J,H,A) )).++cnf(rule_083,axiom,+ ( p1(F,b,G)+ | ~ m1(F,G,b)+ | ~ k0(G) )).++cnf(rule_084,axiom,+ ( p1(D,D,D)+ | ~ m0(b,E,b)+ | ~ l1(D,b) )).++cnf(rule_085,axiom,+ ( p1(B,B,B)+ | ~ p0(C,B) )).++cnf(rule_086,axiom,+ ( p1(I,I,I)+ | ~ l0(I)+ | ~ m0(J,A,I) )).++cnf(rule_087,axiom,+ ( p1(a,b,a)+ | ~ r0(b)+ | ~ p1(a,a,a) )).++cnf(rule_088,axiom,+ ( p1(a,a,a)+ | ~ l0(a) )).++cnf(rule_089,axiom,+ ( p1(d,d,H)+ | ~ s0(H)+ | ~ n1(c,d,H)+ | ~ r0(d)+ | ~ n0(c,H) )).++cnf(rule_090,axiom,+ ( p1(e,e,e)+ | ~ r0(e)+ | ~ k0(e) )).++cnf(rule_091,axiom,+ ( p1(C,C,C)+ | ~ q0(D,E)+ | ~ k1(F)+ | ~ n1(D,C,G) )).++cnf(rule_092,axiom,+ ( q1(J,A,J)+ | ~ n0(B,A)+ | ~ p0(C,J) )).++cnf(rule_093,axiom,+ ( q1(H,H,H)+ | ~ q0(I,H) )).++cnf(rule_094,axiom,+ ( q1(b,e,e)+ | ~ s0(e)+ | ~ k0(b)+ | ~ l0(c) )).++cnf(rule_095,axiom,+ ( q1(F,G,G)+ | ~ p0(G,F) )).++cnf(rule_096,axiom,+ ( q1(B,B,B)+ | ~ n1(C,D,D)+ | ~ p0(C,E)+ | ~ m1(B,D,C)+ | ~ q1(E,C,D) )).++cnf(rule_097,axiom,+ ( q1(A,A,A)+ | ~ s0(A) )).++cnf(rule_098,axiom,+ ( q1(H,H,H)+ | ~ s0(H)+ | ~ m0(I,I,J) )).++cnf(rule_099,axiom,+ ( q1(E,F,F)+ | ~ k0(G)+ | ~ l0(E)+ | ~ q1(F,F,G) )).++cnf(rule_100,axiom,+ ( q1(C,C,C)+ | ~ n0(D,C) )).++cnf(rule_101,axiom,+ ( q1(B,B,B)+ | ~ k1(B)+ | ~ q0(B,b)+ | ~ p1(b,b,B) )).++cnf(rule_102,axiom,+ ( q1(J,J,J)+ | ~ k0(J)+ | ~ l0(A) )).++cnf(rule_103,axiom,+ ( q1(I,I,I)+ | ~ m0(I,c,b) )).++cnf(rule_104,axiom,+ ( q1(E,F,E)+ | ~ l0(E)+ | ~ r0(G)+ | ~ p0(H,E)+ | ~ q0(F,F) )).++cnf(rule_105,axiom,+ ( q1(C,C,D)+ | ~ s0(C)+ | ~ p0(D,d) )).++cnf(rule_106,axiom,+ ( q1(B,B,B)+ | ~ s0(B) )).++cnf(rule_107,axiom,+ ( q1(e,A,A)+ | ~ m0(A,d,A)+ | ~ m0(e,d,A) )).++cnf(rule_108,axiom,+ ( q1(H,H,H)+ | ~ p0(I,J)+ | ~ p1(H,b,b)+ | ~ q0(b,b) )).++cnf(rule_109,axiom,+ ( q1(E,E,F)+ | ~ p0(G,G)+ | ~ q0(F,E)+ | ~ k1(E) )).++cnf(rule_110,axiom,+ ( q1(B,B,B)+ | ~ m0(C,D,B) )).++cnf(rule_111,axiom,+ ( q1(d,d,c)+ | ~ m0(c,b,a)+ | ~ m1(c,d,a) )).++cnf(rule_112,axiom,+ ( q1(A,A,A)+ | ~ k1(A)+ | ~ s0(b) )).++cnf(rule_113,axiom,+ ( q1(H,H,I)+ | ~ r0(J)+ | ~ m1(H,I,I) )).++cnf(rule_114,axiom,+ ( q1(F,F,F)+ | ~ m0(F,F,G)+ | ~ k0(G) )).++cnf(rule_115,axiom,+ ( q1(b,b,b)+ | ~ l0(b) )).++cnf(rule_116,axiom,+ ( q1(E,E,E)+ | ~ r0(E) )).++cnf(rule_117,axiom,+ ( q1(d,d,d)+ | ~ k0(e)+ | ~ s0(d) )).++cnf(rule_118,axiom,+ ( q1(C,C,C)+ | ~ p0(b,d)+ | ~ s0(b)+ | ~ n1(D,d,C) )).++cnf(rule_119,axiom,+ ( q1(B,b,b)+ | ~ s0(B)+ | ~ s0(b) )).++cnf(rule_120,axiom,+ ( q1(b,b,b)+ | ~ r0(b) )).++cnf(rule_121,axiom,+ ( q1(I,I,I)+ | ~ m0(J,A,I) )).++cnf(rule_122,axiom,+ ( q1(G,G,G)+ | ~ m0(G,H,G) )).++cnf(rule_123,axiom,+ ( q1(F,F,F)+ | ~ m0(c,F,F)+ | ~ r0(F) )).++cnf(rule_124,axiom,+ ( r1(D)+ | ~ q0(D,E)+ | ~ s0(d)+ | ~ q1(d,E,d) )).++cnf(rule_125,axiom,+ ( s1(I)+ | ~ p0(I,I) )).++cnf(rule_126,axiom,+ ( s1(F)+ | ~ q0(F,G)+ | ~ s1(H) )).++cnf(rule_127,axiom,+ ( k2(C,D)+ | ~ m1(E,D,C)+ | ~ k1(F)+ | ~ k2(F,D) )).++cnf(rule_128,axiom,+ ( k2(B,B)+ | ~ n1(e,d,B)+ | ~ m1(B,e,B)+ | ~ q1(B,B,d) )).++cnf(rule_129,axiom,+ ( k2(J,J)+ | ~ q1(A,J,J) )).++cnf(rule_130,axiom,+ ( k2(e,e)+ | ~ l1(e,e) )).++cnf(rule_131,axiom,+ ( l2(D,E)+ | ~ s1(D)+ | ~ n0(e,E)+ | ~ l2(E,E) )).++cnf(rule_132,axiom,+ ( l2(c,c)+ | ~ l2(c,c)+ | ~ l1(e,e) )).++cnf(rule_133,axiom,+ ( l2(J,J)+ | ~ p0(A,A)+ | ~ s1(B)+ | ~ m0(C,B,J) )).++cnf(rule_134,axiom,+ ( l2(G,G)+ | ~ m0(H,G,I)+ | ~ m1(I,H,H)+ | ~ p0(H,G) )).++cnf(rule_135,axiom,+ ( m2(F)+ | ~ s0(F)+ | ~ l1(G,H) )).++cnf(rule_136,axiom,+ ( m2(b)+ | ~ k1(b) )).++cnf(rule_137,axiom,+ ( n2(A)+ | ~ p1(B,C,A) )).++cnf(rule_138,axiom,+ ( n2(a)+ | ~ m1(b,a,e)+ | ~ k1(c)+ | ~ n1(e,a,e)+ | ~ q1(c,a,d) )).++cnf(rule_139,axiom,+ ( n2(c)+ | ~ l1(e,c)+ | ~ k0(b) )).++cnf(rule_140,axiom,+ ( n2(e)+ | ~ r1(b)+ | ~ r0(e)+ | ~ p1(b,I,J) )).++cnf(rule_141,axiom,+ ( p2(B,a,B)+ | ~ q1(B,a,B) )).++cnf(rule_142,axiom,+ ( p2(J,J,J)+ | ~ k1(A)+ | ~ k0(A)+ | ~ l2(a,A)+ | ~ k2(J,a) )).++cnf(rule_143,axiom,+ ( p2(c,e,e)+ | ~ l1(c,b)+ | ~ q1(e,e,e) )).++cnf(rule_144,axiom,+ ( p2(b,c,a)+ | ~ r0(e)+ | ~ n1(c,I,I)+ | ~ p0(b,I)+ | ~ k2(c,a) )).++cnf(rule_145,axiom,+ ( p2(e,G,H)+ | ~ r0(e)+ | ~ p1(G,H,e) )).++cnf(rule_146,axiom,+ ( p2(C,D,D)+ | ~ p1(C,E,F)+ | ~ l1(E,F)+ | ~ p2(C,D,C) )).++cnf(rule_147,axiom,+ ( p2(e,c,c)+ | ~ r1(d)+ | ~ l1(e,c) )).++cnf(rule_148,axiom,+ ( p2(J,J,J)+ | ~ m1(A,B,J)+ | ~ p2(A,J,A) )).++cnf(rule_149,axiom,+ ( p2(H,H,d)+ | ~ r1(a)+ | ~ m0(I,H,d) )).++cnf(rule_150,axiom,+ ( p2(F,F,F)+ | ~ m1(G,G,F) )).++cnf(rule_151,axiom,+ ( p2(d,d,d)+ | ~ k1(d)+ | ~ s0(d) )).++cnf(rule_152,axiom,+ ( p2(C,D,D)+ | ~ n1(E,D,E)+ | ~ p0(C,D)+ | ~ p2(C,D,C) )).++cnf(rule_153,axiom,+ ( p2(B,B,B)+ | ~ n1(d,d,B) )).++cnf(rule_154,axiom,+ ( p2(A,A,A)+ | ~ q1(A,A,A) )).++cnf(rule_155,axiom,+ ( p2(H,I,I)+ | ~ k1(J)+ | ~ p2(e,H,I) )).++cnf(rule_156,axiom,+ ( p2(F,e,G)+ | ~ n1(e,F,a)+ | ~ q1(a,G,F) )).++cnf(rule_157,axiom,+ ( p2(E,E,E)+ | ~ l1(E,d) )).++cnf(rule_158,axiom,+ ( p2(B,B,C)+ | ~ q1(c,B,D)+ | ~ s1(c)+ | ~ s0(e)+ | ~ p2(B,D,B) )).++cnf(rule_159,axiom,+ ( p2(A,A,A)+ | ~ k1(A) )).++cnf(rule_160,axiom,+ ( p2(H,H,H)+ | ~ m1(a,a,I)+ | ~ p2(a,J,H) )).++cnf(rule_161,axiom,+ ( p2(d,b,b)+ | ~ p1(d,b,e) )).++cnf(rule_162,axiom,+ ( p2(b,c,c)+ | ~ p1(G,b,b)+ | ~ n1(e,e,G)+ | ~ q1(e,c,G) )).++cnf(rule_163,axiom,+ ( p2(E,E,E)+ | ~ q1(F,c,F)+ | ~ k2(E,c) )).++cnf(rule_164,axiom,+ ( p2(B,B,B)+ | ~ p0(B,B)+ | ~ r1(C)+ | ~ p2(D,C,B) )).++cnf(rule_165,axiom,+ ( p2(I,I,I)+ | ~ q1(J,A,J)+ | ~ p2(J,J,A) )).++cnf(rule_166,axiom,+ ( p2(a,H,d)+ | ~ n0(H,d)+ | ~ m1(a,H,d) )).++cnf(rule_167,axiom,+ ( p2(G,G,G)+ | ~ s1(G)+ | ~ k1(G) )).++cnf(rule_168,axiom,+ ( p2(a,c,b)+ | ~ l1(e,c)+ | ~ l2(e,b)+ | ~ r1(e)+ | ~ m1(d,a,c) )).++cnf(rule_169,axiom,+ ( p2(D,D,D)+ | ~ q1(E,E,E)+ | ~ p1(D,F,D) )).++cnf(rule_170,axiom,+ ( p2(C,e,C)+ | ~ n1(C,e,e) )).++cnf(rule_171,axiom,+ ( p2(A,A,A)+ | ~ n1(B,B,B)+ | ~ p0(A,A) )).++cnf(rule_172,axiom,+ ( p2(a,a,a)+ | ~ p1(e,e,a) )).++cnf(rule_173,axiom,+ ( p2(I,I,I)+ | ~ r1(J)+ | ~ r0(I) )).++cnf(rule_174,axiom,+ ( p2(H,H,H)+ | ~ n2(H)+ | ~ k1(e) )).++cnf(rule_175,axiom,+ ( p2(F,F,F)+ | ~ l1(G,F) )).++cnf(rule_176,axiom,+ ( p2(D,E,D)+ | ~ m1(E,D,E) )).++cnf(rule_177,axiom,+ ( q2(E,F,F)+ | ~ k0(F)+ | ~ p1(E,E,E) )).++cnf(rule_178,axiom,+ ( q2(B,B,B)+ | ~ q0(C,B)+ | ~ n1(C,B,D) )).++cnf(rule_179,axiom,+ ( q2(J,J,J)+ | ~ k1(A)+ | ~ n1(J,J,A) )).++cnf(rule_180,axiom,+ ( q2(d,a,a)+ | ~ q2(d,c,a)+ | ~ s1(c)+ | ~ q0(e,c) )).++cnf(rule_181,axiom,+ ( q2(I,I,I)+ | ~ p1(I,I,I) )).++cnf(rule_182,axiom,+ ( q2(F,G,F)+ | ~ p1(F,F,H)+ | ~ n1(G,F,H)+ | ~ q2(G,H,F) )).++cnf(rule_183,axiom,+ ( q2(D,c,E)+ | ~ k1(E)+ | ~ l0(c)+ | ~ l2(E,D) )).++cnf(rule_184,axiom,+ ( q2(B,B,B)+ | ~ q1(C,c,B) )).++cnf(rule_185,axiom,+ ( q2(I,I,I)+ | ~ n1(J,d,A)+ | ~ k1(I)+ | ~ q2(A,A,J) )).++cnf(rule_186,axiom,+ ( q2(G,G,H)+ | ~ l1(H,G) )).++cnf(rule_187,axiom,+ ( q2(C,D,C)+ | ~ r1(D)+ | ~ m0(E,F,C)+ | ~ k0(D)+ | ~ q2(D,D,D) )).++cnf(rule_188,axiom,+ ( r2(G)+ | ~ r1(G)+ | ~ l0(G) )).++cnf(rule_189,axiom,+ ( s2(H)+ | ~ q2(b,H,b)+ | ~ s1(b) )).++cnf(rule_190,axiom,+ ( s2(d)+ | ~ s1(a)+ | ~ s0(d) )).++cnf(rule_191,axiom,+ ( s2(d)+ | ~ r1(d)+ | ~ s1(d) )).++cnf(rule_192,axiom,+ ( k3(J,A,J)+ | ~ s1(A)+ | ~ p2(B,A,C)+ | ~ n0(J,C) )).++cnf(rule_193,axiom,+ ( k3(H,H,H)+ | ~ s1(H)+ | ~ q2(d,I,d)+ | ~ s2(I) )).++cnf(rule_194,axiom,+ ( k3(F,F,G)+ | ~ k2(G,F) )).++cnf(rule_195,axiom,+ ( k3(c,c,c)+ | ~ s2(e)+ | ~ k2(c,e) )).++cnf(rule_196,axiom,+ ( k3(C,C,C)+ | ~ p2(D,E,D)+ | ~ m1(C,C,E) )).++cnf(rule_197,axiom,+ ( k3(A,A,A)+ | ~ l2(B,b)+ | ~ k1(A) )).++cnf(rule_198,axiom,+ ( k3(c,c,c)+ | ~ k0(a)+ | ~ r2(c) )).++cnf(rule_199,axiom,+ ( k3(I,J,J)+ | ~ l1(J,I)+ | ~ k3(I,J,J) )).++cnf(rule_200,axiom,+ ( k3(F,F,F)+ | ~ p2(G,H,e)+ | ~ s1(G)+ | ~ k3(F,G,G) )).++cnf(rule_201,axiom,+ ( k3(B,B,C)+ | ~ p1(C,D,B)+ | ~ m2(E)+ | ~ m2(D) )).++cnf(rule_202,axiom,+ ( k3(G,G,H)+ | ~ q0(I,H)+ | ~ k2(G,J)+ | ~ k3(H,A,J) )).++cnf(rule_203,axiom,+ ( k3(d,d,d)+ | ~ p1(a,d,b)+ | ~ r2(a)+ | ~ l2(e,b) )).++cnf(rule_204,axiom,+ ( k3(a,a,a)+ | ~ r2(a) )).++cnf(rule_205,axiom,+ ( k3(E,E,E)+ | ~ p2(F,E,E) )).++cnf(rule_206,axiom,+ ( k3(C,D,C)+ | ~ p2(D,C,C) )).++cnf(rule_207,axiom,+ ( k3(J,J,J)+ | ~ p0(A,J)+ | ~ k3(J,J,J)+ | ~ k3(A,J,B) )).++cnf(rule_208,axiom,+ ( k3(I,I,I)+ | ~ r2(c)+ | ~ l1(b,I) )).++cnf(rule_209,axiom,+ ( k3(E,E,E)+ | ~ m2(F)+ | ~ l1(G,H)+ | ~ s2(E)+ | ~ k3(G,H,G) )).++cnf(rule_210,axiom,+ ( k3(D,D,D)+ | ~ n2(D) )).++cnf(rule_211,axiom,+ ( k3(C,C,C)+ | ~ l0(C)+ | ~ r2(e)+ | ~ r0(e) )).++cnf(rule_212,axiom,+ ( k3(B,B,B)+ | ~ m2(B) )).++cnf(rule_213,axiom,+ ( k3(I,I,I)+ | ~ r1(I)+ | ~ p2(J,A,A) )).++cnf(rule_214,axiom,+ ( k3(c,c,c)+ | ~ r2(c) )).++cnf(rule_215,axiom,+ ( l3(G,H)+ | ~ r0(G)+ | ~ p2(G,H,G) )).++cnf(rule_216,axiom,+ ( l3(D,D)+ | ~ p1(D,D,E)+ | ~ p2(E,F,D) )).++cnf(rule_217,axiom,+ ( l3(C,C)+ | ~ n2(C)+ | ~ m2(b) )).++cnf(rule_218,axiom,+ ( l3(B,B)+ | ~ r2(B) )).++cnf(rule_219,axiom,+ ( l3(I,I)+ | ~ n2(J)+ | ~ l1(A,I)+ | ~ l3(A,A) )).++cnf(rule_220,axiom,+ ( l3(G,G)+ | ~ s2(H)+ | ~ l1(G,G) )).++cnf(rule_221,axiom,+ ( l3(d,d)+ | ~ k2(a,d) )).++cnf(rule_222,axiom,+ ( l3(D,D)+ | ~ k3(E,D,D)+ | ~ l2(F,F) )).++cnf(rule_223,axiom,+ ( l3(c,c)+ | ~ k2(b,c) )).++cnf(rule_224,axiom,+ ( l3(d,c)+ | ~ s2(d)+ | ~ k3(a,c,a)+ | ~ r0(b) )).++cnf(rule_225,axiom,+ ( m3(J,A,J)+ | ~ m0(B,B,A)+ | ~ l2(C,J)+ | ~ m0(J,C,C)+ | ~ s2(B) )).++cnf(rule_226,axiom,+ ( m3(G,G,G)+ | ~ k2(H,I)+ | ~ m3(G,I,G)+ | ~ n0(I,a)+ | ~ l2(a,a) )).++cnf(rule_227,axiom,+ ( m3(C,C,C)+ | ~ q0(D,E)+ | ~ s0(F)+ | ~ s2(E)+ | ~ r2(C) )).++cnf(rule_228,axiom,+ ( m3(J,A,A)+ | ~ n2(J)+ | ~ m2(A)+ | ~ m3(B,J,B) )).++cnf(rule_229,axiom,+ ( m3(b,b,b)+ | ~ q2(a,b,a) )).++cnf(rule_230,axiom,+ ( m3(c,b,d)+ | ~ l1(d,b)+ | ~ m2(d)+ | ~ q2(b,c,d) )).++cnf(rule_231,axiom,+ ( m3(H,I,H)+ | ~ r2(H)+ | ~ k2(c,I) )).++cnf(rule_232,axiom,+ ( m3(G,G,G)+ | ~ l2(G,G)+ | ~ n2(G) )).++cnf(rule_233,axiom,+ ( m3(E,E,E)+ | ~ n2(E)+ | ~ m2(F) )).++cnf(rule_234,axiom,+ ( m3(D,e,e)+ | ~ n2(e)+ | ~ p2(D,e,e) )).++cnf(rule_235,axiom,+ ( m3(B,B,C)+ | ~ r2(C)+ | ~ k3(B,C,B) )).++cnf(rule_236,axiom,+ ( m3(A,A,A)+ | ~ n2(A) )).++cnf(rule_237,axiom,+ ( m3(J,c,J)+ | ~ s2(c)+ | ~ q2(J,c,c) )).++cnf(rule_238,axiom,+ ( m3(I,I,I)+ | ~ p2(I,I,I) )).++cnf(rule_239,axiom,+ ( m3(b,b,b)+ | ~ l2(a,b) )).++cnf(rule_240,axiom,+ ( n3(D)+ | ~ p2(E,F,D) )).++cnf(rule_241,axiom,+ ( p3(C,D,E)+ | ~ q2(F,d,C)+ | ~ k2(D,E) )).++cnf(rule_242,axiom,+ ( p3(J,A,B)+ | ~ r2(A)+ | ~ k3(A,B,J) )).++cnf(rule_243,axiom,+ ( p3(I,d,e)+ | ~ l3(b,e)+ | ~ p2(d,b,c)+ | ~ n3(I)+ | ~ q2(I,d,I) )).++cnf(rule_244,axiom,+ ( p3(H,H,H)+ | ~ n2(H) )).++cnf(rule_245,axiom,+ ( p3(E,E,E)+ | ~ l1(F,F)+ | ~ l3(F,E)+ | ~ p3(G,G,F) )).++cnf(rule_246,axiom,+ ( p3(D,D,D)+ | ~ l2(D,D) )).++cnf(rule_247,axiom,+ ( p3(A,A,A)+ | ~ n2(A)+ | ~ q2(B,C,A)+ | ~ s1(B) )).++cnf(rule_248,axiom,+ ( p3(I,I,I)+ | ~ p2(J,I,I)+ | ~ n3(I) )).++cnf(rule_249,axiom,+ ( p3(H,H,H)+ | ~ k1(H)+ | ~ n2(H) )).++cnf(rule_250,axiom,+ ( p3(E,E,E)+ | ~ k1(E)+ | ~ q2(F,G,E) )).++cnf(rule_251,axiom,+ ( p3(A,B,B)+ | ~ m3(B,C,D)+ | ~ p2(A,B,D) )).++cnf(rule_252,axiom,+ ( p3(H,H,H)+ | ~ q0(I,H)+ | ~ k2(J,J) )).++cnf(rule_253,axiom,+ ( p3(b,c,b)+ | ~ k2(c,b) )).++cnf(rule_254,axiom,+ ( p3(e,b,e)+ | ~ m3(e,G,e)+ | ~ q2(G,G,b) )).++cnf(rule_255,axiom,+ ( q3(G,H)+ | ~ q2(I,G,H)+ | ~ n0(I,G) )).++cnf(rule_256,axiom,+ ( q3(E,E)+ | ~ p2(F,E,E)+ | ~ q3(F,E) )).++cnf(rule_257,axiom,+ ( q3(B,C)+ | ~ n1(D,B,C)+ | ~ s2(B)+ | ~ q3(C,B) )).++cnf(rule_258,axiom,+ ( q3(I,I)+ | ~ r2(I)+ | ~ s1(J)+ | ~ l2(A,A) )).++cnf(rule_259,axiom,+ ( q3(G,G)+ | ~ m0(H,d,H)+ | ~ k1(G)+ | ~ r2(d)+ | ~ q3(H,G) )).++cnf(rule_260,axiom,+ ( r3(G,H,H)+ | ~ s2(H)+ | ~ l2(c,G) )).++cnf(rule_261,axiom,+ ( r3(D,D,D)+ | ~ l1(E,F)+ | ~ n1(F,F,F)+ | ~ r2(D) )).++cnf(rule_262,axiom,+ ( r3(A,A,A)+ | ~ p1(B,C,A)+ | ~ l2(C,B)+ | ~ r3(A,B,A) )).++cnf(rule_263,axiom,+ ( r3(I,I,I)+ | ~ m0(d,J,I)+ | ~ r3(I,I,J) )).++cnf(rule_264,axiom,+ ( r3(H,H,H)+ | ~ s2(H) )).++cnf(rule_265,axiom,+ ( r3(F,F,F)+ | ~ l2(G,F) )).++cnf(rule_266,axiom,+ ( r3(E,E,E)+ | ~ r2(E) )).++cnf(rule_267,axiom,+ ( r3(B,C,B)+ | ~ p2(B,D,C) )).++cnf(rule_268,axiom,+ ( r3(H,H,I)+ | ~ m2(I)+ | ~ m3(J,b,H)+ | ~ r3(I,A,A) )).++cnf(rule_269,axiom,+ ( r3(a,a,e)+ | ~ k2(a,a)+ | ~ q2(G,e,G)+ | ~ m2(b)+ | ~ m3(a,G,G) )).++cnf(rule_270,axiom,+ ( r3(F,b,F)+ | ~ r0(F)+ | ~ p2(b,F,b)+ | ~ l2(F,F) )).++cnf(rule_271,axiom,+ ( r3(C,C,C)+ | ~ p3(D,C,E)+ | ~ r3(D,D,D) )).++cnf(rule_272,axiom,+ ( r3(J,A,B)+ | ~ k2(A,B)+ | ~ r2(B)+ | ~ r3(B,J,J) )).++cnf(rule_273,axiom,+ ( s3(I,J)+ | ~ q2(A,I,A)+ | ~ s2(I)+ | ~ m0(A,B,J) )).++cnf(rule_274,axiom,+ ( k4(c)+ | ~ n0(c,d)+ | ~ q3(e,b)+ | ~ n3(e) )).++cnf(rule_275,axiom,+ ( k4(E)+ | ~ k3(F,F,F)+ | ~ n0(G,F)+ | ~ k4(E) )).++cnf(rule_276,axiom,+ ( k4(e)+ | ~ q3(C,C)+ | ~ q1(a,a,D)+ | ~ r3(C,e,D) )).++cnf(rule_277,axiom,+ ( l4(J)+ | ~ p3(A,B,J) )).++cnf(rule_278,axiom,+ ( l4(H)+ | ~ m0(I,H,H)+ | ~ l4(I) )).++cnf(rule_279,axiom,+ ( m4(E,F)+ | ~ l2(G,F)+ | ~ s3(a,E) )).++cnf(rule_280,axiom,+ ( m4(C,C)+ | ~ p3(D,D,D)+ | ~ m3(C,C,D)+ | ~ m4(C,C) )).++cnf(rule_281,axiom,+ ( n4(J,A)+ | ~ p3(J,A,A)+ | ~ n4(J,J) )).++cnf(rule_282,axiom,+ ( n4(d,d)+ | ~ k3(c,c,e)+ | ~ q1(d,d,d) )).++cnf(rule_283,axiom,+ ( n4(e,e)+ | ~ l3(b,a)+ | ~ p3(b,e,a) )).++cnf(rule_284,axiom,+ ( n4(H,H)+ | ~ k4(I)+ | ~ m3(H,H,H) )).++cnf(rule_285,axiom,+ ( p4(G,G,H)+ | ~ r0(G)+ | ~ r3(H,G,H) )).++cnf(rule_286,axiom,+ ( p4(D,D,D)+ | ~ q3(E,F)+ | ~ n3(D) )).++cnf(rule_287,axiom,+ ( p4(B,C,B)+ | ~ k3(B,B,C) )).++cnf(rule_288,axiom,+ ( p4(H,I,I)+ | ~ r3(I,I,H)+ | ~ p4(J,J,A) )).++cnf(rule_289,axiom,+ ( p4(D,D,D)+ | ~ l4(D)+ | ~ n0(D,E)+ | ~ p4(F,G,F) )).++cnf(rule_290,axiom,+ ( p4(A,A,A)+ | ~ m3(B,C,A)+ | ~ p4(A,C,A) )).++cnf(rule_291,axiom,+ ( p4(I,I,I)+ | ~ p3(J,J,I) )).++cnf(rule_292,axiom,+ ( p4(F,F,F)+ | ~ k3(G,H,H)+ | ~ n4(F,H)+ | ~ p1(H,G,F) )).++cnf(rule_293,axiom,+ ( p4(C,C,C)+ | ~ q3(D,E)+ | ~ n4(E,C)+ | ~ l3(D,D) )).++cnf(rule_294,axiom,+ ( p4(c,c,B)+ | ~ n3(a)+ | ~ m3(B,c,a) )).++cnf(rule_295,axiom,+ ( q4(B,C)+ | ~ k3(D,D,B)+ | ~ q2(E,C,B)+ | ~ m3(E,F,E) )).++cnf(rule_296,axiom,+ ( q4(I,I)+ | ~ r1(I)+ | ~ l4(J)+ | ~ q4(J,A) )).++cnf(rule_297,axiom,+ ( q4(b,b)+ | ~ k3(c,e,b)+ | ~ l1(b,c) )).++cnf(rule_298,axiom,+ ( r4(G)+ | ~ n3(G)+ | ~ q3(H,I)+ | ~ p0(J,G) )).++cnf(rule_299,axiom,+ ( s4(A)+ | ~ p3(B,C,D)+ | ~ l1(A,C) )).++cnf(rule_300,axiom,+ ( k5(E)+ | ~ s4(F)+ | ~ r3(G,E,E) )).++cnf(rule_301,axiom,+ ( k5(b)+ | ~ s4(e)+ | ~ n1(b,b,b) )).++cnf(rule_302,axiom,+ ( l5(H)+ | ~ q4(I,I)+ | ~ k1(H) )).++cnf(rule_303,axiom,+ ( m5(D,E)+ | ~ r0(D)+ | ~ p4(D,F,E) )).++cnf(rule_304,axiom,+ ( m5(C,C)+ | ~ k4(C) )).++cnf(rule_305,axiom,+ ( m5(B,B)+ | ~ s4(B)+ | ~ m4(e,e) )).++cnf(rule_306,axiom,+ ( m5(J,J)+ | ~ s4(A)+ | ~ r0(J) )).++cnf(rule_307,axiom,+ ( n5(B,C)+ | ~ q4(D,E)+ | ~ n4(B,E)+ | ~ p4(F,F,C)+ | ~ n5(F,C) )).++cnf(rule_308,axiom,+ ( n5(J,J)+ | ~ m0(A,J,A)+ | ~ n5(A,J) )).++cnf(rule_309,axiom,+ ( n5(H,H)+ | ~ n4(I,H) )).++cnf(rule_310,axiom,+ ( n5(E,E)+ | ~ p0(E,F)+ | ~ m4(G,G)+ | ~ k5(d) )).++cnf(rule_311,axiom,+ ( n5(d,d)+ | ~ p4(c,d,c) )).++cnf(rule_312,axiom,+ ( n5(b,e)+ | ~ r3(d,b,c)+ | ~ n4(b,e) )).++cnf(rule_313,axiom,+ ( n5(C,C)+ | ~ q4(D,C) )).++cnf(rule_314,axiom,+ ( n5(B,B)+ | ~ r4(B) )).++cnf(rule_315,axiom,+ ( n5(A,A)+ | ~ s1(A)+ | ~ k4(A) )).++cnf(rule_316,axiom,+ ( n5(H,H)+ | ~ p4(I,H,H)+ | ~ s1(H)+ | ~ p4(b,b,J) )).++cnf(rule_317,axiom,+ ( n5(d,G)+ | ~ k3(d,G,a)+ | ~ n4(G,d) )).++cnf(rule_318,axiom,+ ( p5(E,E,F)+ | ~ s4(F)+ | ~ l2(E,E) )).++cnf(rule_319,axiom,+ ( p5(B,C,C)+ | ~ l2(B,D)+ | ~ p5(B,D,B)+ | ~ m4(D,C) )).++cnf(rule_320,axiom,+ ( p5(I,J,I)+ | ~ q4(J,A)+ | ~ s1(I) )).++cnf(rule_321,axiom,+ ( p5(b,b,b)+ | ~ p4(G,G,H)+ | ~ k5(b) )).++cnf(rule_322,axiom,+ ( q5(J,A)+ | ~ s4(J)+ | ~ m2(A) )).++cnf(rule_323,axiom,+ ( q5(a,a)+ | ~ r4(a) )).++cnf(rule_324,axiom,+ ( q5(I,I)+ | ~ l4(I) )).++cnf(rule_325,axiom,+ ( q5(H,H)+ | ~ q4(H,H) )).++cnf(rule_326,axiom,+ ( q5(G,G)+ | ~ m4(G,G) )).++cnf(rule_327,axiom,+ ( r5(C,D)+ | ~ s4(C)+ | ~ k0(b)+ | ~ n3(D) )).++cnf(rule_328,axiom,+ ( r5(B,B)+ | ~ k4(B) )).++cnf(rule_329,axiom,+ ( s5(H)+ | ~ l4(H)+ | ~ r4(I) )).++cnf(rule_330,axiom,+ ( s5(E)+ | ~ k4(E)+ | ~ s3(E,F)+ | ~ l5(G)+ | ~ s5(G) )).++%--------------------------------------------------------------------------
+ test-data/tptp/cnf/TOP001-0.ax view
@@ -0,0 +1,601 @@+%--------------------------------------------------------------------------+% File : TOP001-0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Topology (Point set)+% Axioms : Point-set topology+% Version : [WM89] axioms : Incomplete.+% English :++% Refs : [WM89] Wick & McCune (1989), Automated Reasoning about Elemen+% Source : [WM89]+% Names :++% Status : Satisfiable+% Syntax : Number of clauses : 109 ( 23 non-Horn; 0 unit; 104 RR)+% Number of atoms : 336 ( 0 equality)+% Maximal clause size : 8 ( 3 average)+% Number of predicates : 22 ( 0 propositional; 1-4 arity)+% Number of functors : 35 ( 1 constant; 0-5 arity)+% Number of variables : 357 ( 56 singleton)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments : These axioms are incomplete, in that they do not contain the+% requisite set theory axioms. Problems that use this axiom set+% must supply appropriate set theory axioms.+%--------------------------------------------------------------------------+%----Sigma (union of members).+cnf(union_of_members_1,axiom,+ ( ~ element_of_set(U,union_of_members(Vf))+ | element_of_set(U,f1(Vf,U)) )).++cnf(union_of_members_2,axiom,+ ( ~ element_of_set(U,union_of_members(Vf))+ | element_of_collection(f1(Vf,U),Vf) )).++cnf(union_of_members_3,axiom,+ ( element_of_set(U,union_of_members(Vf))+ | ~ element_of_set(U,Uu1)+ | ~ element_of_collection(Uu1,Vf) )).++%----Pi (intersection of members).+cnf(intersection_of_members_4,axiom,+ ( ~ element_of_set(U,intersection_of_members(Vf))+ | ~ element_of_collection(Va,Vf)+ | element_of_set(U,Va) )).++cnf(intersection_of_members_5,axiom,+ ( element_of_set(U,intersection_of_members(Vf))+ | element_of_collection(f2(Vf,U),Vf) )).++cnf(intersection_of_members_6,axiom,+ ( element_of_set(U,intersection_of_members(Vf))+ | ~ element_of_set(U,f2(Vf,U)) )).++%----Topological space+cnf(topological_space_7,axiom,+ ( ~ topological_space(X,Vt)+ | equal_sets(union_of_members(Vt),X) )).++cnf(topological_space_8,axiom,+ ( ~ topological_space(X,Vt)+ | element_of_collection(empty_set,Vt) )).++cnf(topological_space_9,axiom,+ ( ~ topological_space(X,Vt)+ | element_of_collection(X,Vt) )).++cnf(topological_space_10,axiom,+ ( ~ topological_space(X,Vt)+ | ~ element_of_collection(Y,Vt)+ | ~ element_of_collection(Z,Vt)+ | element_of_collection(intersection_of_sets(Y,Z),Vt) )).++cnf(topological_space_11,axiom,+ ( ~ topological_space(X,Vt)+ | ~ subset_collections(Vf,Vt)+ | element_of_collection(union_of_members(Vf),Vt) )).++cnf(topological_space_12,axiom,+ ( topological_space(X,Vt)+ | ~ equal_sets(union_of_members(Vt),X)+ | ~ element_of_collection(empty_set,Vt)+ | ~ element_of_collection(X,Vt)+ | element_of_collection(f3(X,Vt),Vt)+ | subset_collections(f5(X,Vt),Vt) )).++cnf(topological_space_13,axiom,+ ( topological_space(X,Vt)+ | ~ equal_sets(union_of_members(Vt),X)+ | ~ element_of_collection(empty_set,Vt)+ | ~ element_of_collection(X,Vt)+ | element_of_collection(f3(X,Vt),Vt)+ | ~ element_of_collection(union_of_members(f5(X,Vt)),Vt) )).++cnf(topological_space_14,axiom,+ ( topological_space(X,Vt)+ | ~ equal_sets(union_of_members(Vt),X)+ | ~ element_of_collection(empty_set,Vt)+ | ~ element_of_collection(X,Vt)+ | element_of_collection(f4(X,Vt),Vt)+ | subset_collections(f5(X,Vt),Vt) )).++cnf(topological_space_15,axiom,+ ( topological_space(X,Vt)+ | ~ equal_sets(union_of_members(Vt),X)+ | ~ element_of_collection(empty_set,Vt)+ | ~ element_of_collection(X,Vt)+ | element_of_collection(f4(X,Vt),Vt)+ | ~ element_of_collection(union_of_members(f5(X,Vt)),Vt) )).++cnf(topological_space_16,axiom,+ ( topological_space(X,Vt)+ | ~ equal_sets(union_of_members(Vt),X)+ | ~ element_of_collection(empty_set,Vt)+ | ~ element_of_collection(X,Vt)+ | ~ element_of_collection(intersection_of_sets(f3(X,Vt),f4(X,Vt)),Vt)+ | subset_collections(f5(X,Vt),Vt) )).++cnf(topological_space_17,axiom,+ ( topological_space(X,Vt)+ | ~ equal_sets(union_of_members(Vt),X)+ | ~ element_of_collection(empty_set,Vt)+ | ~ element_of_collection(X,Vt)+ | ~ element_of_collection(intersection_of_sets(f3(X,Vt),f4(X,Vt)),Vt)+ | ~ element_of_collection(union_of_members(f5(X,Vt)),Vt) )).++%----Open set+cnf(open_set_18,axiom,+ ( ~ open(U,X,Vt)+ | topological_space(X,Vt) )).++cnf(open_set_19,axiom,+ ( ~ open(U,X,Vt)+ | element_of_collection(U,Vt) )).++cnf(open_set_20,axiom,+ ( open(U,X,Vt)+ | ~ topological_space(X,Vt)+ | ~ element_of_collection(U,Vt) )).++%----Closed set+cnf(closed_set_21,axiom,+ ( ~ closed(U,X,Vt)+ | topological_space(X,Vt) )).++cnf(closed_set_22,axiom,+ ( ~ closed(U,X,Vt)+ | open(relative_complement_sets(U,X),X,Vt) )).++cnf(closed_set_23,axiom,+ ( closed(U,X,Vt)+ | ~ topological_space(X,Vt)+ | ~ open(relative_complement_sets(U,X),X,Vt) )).++%----Finer topology+cnf(finer_topology_24,axiom,+ ( ~ finer(Vt,Vs,X)+ | topological_space(X,Vt) )).++cnf(finer_topology_25,axiom,+ ( ~ finer(Vt,Vs,X)+ | topological_space(X,Vs) )).++cnf(finer_topology_26,axiom,+ ( ~ finer(Vt,Vs,X)+ | subset_collections(Vs,Vt) )).++cnf(finer_topology_27,axiom,+ ( finer(Vt,Vs,X)+ | ~ topological_space(X,Vt)+ | ~ topological_space(X,Vs)+ | ~ subset_collections(Vs,Vt) )).++%----Basis for a topology+cnf(basis_for_topology_28,axiom,+ ( ~ basis(X,Vf)+ | equal_sets(union_of_members(Vf),X) )).++cnf(basis_for_topology_29,axiom,+ ( ~ basis(X,Vf)+ | ~ element_of_set(Y,X)+ | ~ element_of_collection(Vb1,Vf)+ | ~ element_of_collection(Vb2,Vf)+ | ~ element_of_set(Y,intersection_of_sets(Vb1,Vb2))+ | element_of_set(Y,f6(X,Vf,Y,Vb1,Vb2)) )).++cnf(basis_for_topology_30,axiom,+ ( ~ basis(X,Vf)+ | ~ element_of_set(Y,X)+ | ~ element_of_collection(Vb1,Vf)+ | ~ element_of_collection(Vb2,Vf)+ | ~ element_of_set(Y,intersection_of_sets(Vb1,Vb2))+ | element_of_collection(f6(X,Vf,Y,Vb1,Vb2),Vf) )).++cnf(basis_for_topology_31,axiom,+ ( ~ basis(X,Vf)+ | ~ element_of_set(Y,X)+ | ~ element_of_collection(Vb1,Vf)+ | ~ element_of_collection(Vb2,Vf)+ | ~ element_of_set(Y,intersection_of_sets(Vb1,Vb2))+ | subset_sets(f6(X,Vf,Y,Vb1,Vb2),intersection_of_sets(Vb1,Vb2)) )).++cnf(basis_for_topology_32,axiom,+ ( basis(X,Vf)+ | ~ equal_sets(union_of_members(Vf),X)+ | element_of_set(f7(X,Vf),X) )).++cnf(basis_for_topology_33,axiom,+ ( basis(X,Vf)+ | ~ equal_sets(union_of_members(Vf),X)+ | element_of_collection(f8(X,Vf),Vf) )).++cnf(basis_for_topology_34,axiom,+ ( basis(X,Vf)+ | ~ equal_sets(union_of_members(Vf),X)+ | element_of_collection(f9(X,Vf),Vf) )).++cnf(basis_for_topology_35,axiom,+ ( basis(X,Vf)+ | ~ equal_sets(union_of_members(Vf),X)+ | element_of_set(f7(X,Vf),intersection_of_sets(f8(X,Vf),f9(X,Vf))) )).++cnf(basis_for_topology_36,axiom,+ ( basis(X,Vf)+ | ~ equal_sets(union_of_members(Vf),X)+ | ~ element_of_set(f7(X,Vf),Uu9)+ | ~ element_of_collection(Uu9,Vf)+ | ~ subset_sets(Uu9,intersection_of_sets(f8(X,Vf),f9(X,Vf))) )).++%----Topology generated by a basis+cnf(topology_generated_37,axiom,+ ( ~ element_of_collection(U,top_of_basis(Vf))+ | ~ element_of_set(X,U)+ | element_of_set(X,f10(Vf,U,X)) )).++cnf(topology_generated_38,axiom,+ ( ~ element_of_collection(U,top_of_basis(Vf))+ | ~ element_of_set(X,U)+ | element_of_collection(f10(Vf,U,X),Vf) )).++cnf(topology_generated_39,axiom,+ ( ~ element_of_collection(U,top_of_basis(Vf))+ | ~ element_of_set(X,U)+ | subset_sets(f10(Vf,U,X),U) )).++cnf(topology_generated_40,axiom,+ ( element_of_collection(U,top_of_basis(Vf))+ | element_of_set(f11(Vf,U),U) )).++cnf(topology_generated_41,axiom,+ ( element_of_collection(U,top_of_basis(Vf))+ | ~ element_of_set(f11(Vf,U),Uu11)+ | ~ element_of_collection(Uu11,Vf)+ | ~ subset_sets(Uu11,U) )).++%----Subspace topology+cnf(subspace_topology_42,axiom,+ ( ~ element_of_collection(U,subspace_topology(X,Vt,Y))+ | topological_space(X,Vt) )).++cnf(subspace_topology_43,axiom,+ ( ~ element_of_collection(U,subspace_topology(X,Vt,Y))+ | subset_sets(Y,X) )).++cnf(subspace_topology_44,axiom,+ ( ~ element_of_collection(U,subspace_topology(X,Vt,Y))+ | element_of_collection(f12(X,Vt,Y,U),Vt) )).++cnf(subspace_topology_45,axiom,+ ( ~ element_of_collection(U,subspace_topology(X,Vt,Y))+ | equal_sets(U,intersection_of_sets(Y,f12(X,Vt,Y,U))) )).++cnf(subspace_topology_46,axiom,+ ( element_of_collection(U,subspace_topology(X,Vt,Y))+ | ~ topological_space(X,Vt)+ | ~ subset_sets(Y,X)+ | ~ element_of_collection(Uu12,Vt)+ | ~ equal_sets(U,intersection_of_sets(Y,Uu12)) )).++%----Interior of a set+cnf(interior_47,axiom,+ ( ~ element_of_set(U,interior(Y,X,Vt))+ | topological_space(X,Vt) )).++cnf(interior_48,axiom,+ ( ~ element_of_set(U,interior(Y,X,Vt))+ | subset_sets(Y,X) )).++cnf(interior_49,axiom,+ ( ~ element_of_set(U,interior(Y,X,Vt))+ | element_of_set(U,f13(Y,X,Vt,U)) )).++cnf(interior_50,axiom,+ ( ~ element_of_set(U,interior(Y,X,Vt))+ | subset_sets(f13(Y,X,Vt,U),Y) )).++cnf(interior_51,axiom,+ ( ~ element_of_set(U,interior(Y,X,Vt))+ | open(f13(Y,X,Vt,U),X,Vt) )).++cnf(interior_52,axiom,+ ( element_of_set(U,interior(Y,X,Vt))+ | ~ topological_space(X,Vt)+ | ~ subset_sets(Y,X)+ | ~ element_of_set(U,Uu13)+ | ~ subset_sets(Uu13,Y)+ | ~ open(Uu13,X,Vt) )).++%----Closure of a set+cnf(closure_53,axiom,+ ( ~ element_of_set(U,closure(Y,X,Vt))+ | topological_space(X,Vt) )).++cnf(closure_54,axiom,+ ( ~ element_of_set(U,closure(Y,X,Vt))+ | subset_sets(Y,X) )).++cnf(closure_55,axiom,+ ( ~ element_of_set(U,closure(Y,X,Vt))+ | ~ subset_sets(Y,V)+ | ~ closed(V,X,Vt)+ | element_of_set(U,V) )).++cnf(closure_56,axiom,+ ( element_of_set(U,closure(Y,X,Vt))+ | ~ topological_space(X,Vt)+ | ~ subset_sets(Y,X)+ | subset_sets(Y,f14(Y,X,Vt,U)) )).++cnf(closure_57,axiom,+ ( element_of_set(U,closure(Y,X,Vt))+ | ~ topological_space(X,Vt)+ | ~ subset_sets(Y,X)+ | closed(f14(Y,X,Vt,U),X,Vt) )).++cnf(closure_58,axiom,+ ( element_of_set(U,closure(Y,X,Vt))+ | ~ topological_space(X,Vt)+ | ~ subset_sets(Y,X)+ | ~ element_of_set(U,f14(Y,X,Vt,U)) )).++%----Neighborhood+cnf(neighborhood_59,axiom,+ ( ~ neighborhood(U,Y,X,Vt)+ | topological_space(X,Vt) )).++cnf(neighborhood_60,axiom,+ ( ~ neighborhood(U,Y,X,Vt)+ | open(U,X,Vt) )).++cnf(neighborhood_61,axiom,+ ( ~ neighborhood(U,Y,X,Vt)+ | element_of_set(Y,U) )).++cnf(neighborhood_62,axiom,+ ( neighborhood(U,Y,X,Vt)+ | ~ topological_space(X,Vt)+ | ~ open(U,X,Vt)+ | ~ element_of_set(Y,U) )).++%----Limit point+cnf(limit_point_63,axiom,+ ( ~ limit_point(Z,Y,X,Vt)+ | topological_space(X,Vt) )).++cnf(limit_point_64,axiom,+ ( ~ limit_point(Z,Y,X,Vt)+ | subset_sets(Y,X) )).++cnf(limit_point_65,axiom,+ ( ~ limit_point(Z,Y,X,Vt)+ | ~ neighborhood(U,Z,X,Vt)+ | element_of_set(f15(Z,Y,X,Vt,U),intersection_of_sets(U,Y)) )).++cnf(limit_point_66,axiom,+ ( ~ limit_point(Z,Y,X,Vt)+ | ~ neighborhood(U,Z,X,Vt)+ | ~ eq_p(f15(Z,Y,X,Vt,U),Z) )).++cnf(limit_point_67,axiom,+ ( limit_point(Z,Y,X,Vt)+ | ~ topological_space(X,Vt)+ | ~ subset_sets(Y,X)+ | neighborhood(f16(Z,Y,X,Vt),Z,X,Vt) )).++cnf(limit_point_68,axiom,+ ( limit_point(Z,Y,X,Vt)+ | ~ topological_space(X,Vt)+ | ~ subset_sets(Y,X)+ | ~ element_of_set(Uu16,intersection_of_sets(f16(Z,Y,X,Vt),Y))+ | eq_p(Uu16,Z) )).++%----Boundary of a set+cnf(boundary_69,axiom,+ ( ~ element_of_set(U,boundary(Y,X,Vt))+ | topological_space(X,Vt) )).++cnf(boundary_70,axiom,+ ( ~ element_of_set(U,boundary(Y,X,Vt))+ | element_of_set(U,closure(Y,X,Vt)) )).++cnf(boundary_71,axiom,+ ( ~ element_of_set(U,boundary(Y,X,Vt))+ | element_of_set(U,closure(relative_complement_sets(Y,X),X,Vt)) )).++cnf(boundary_72,axiom,+ ( element_of_set(U,boundary(Y,X,Vt))+ | ~ topological_space(X,Vt)+ | ~ element_of_set(U,closure(Y,X,Vt))+ | ~ element_of_set(U,closure(relative_complement_sets(Y,X),X,Vt)) )).++%----Hausdorff space+cnf(hausdorff_73,axiom,+ ( ~ hausdorff(X,Vt)+ | topological_space(X,Vt) )).++cnf(hausdorff_74,axiom,+ ( ~ hausdorff(X,Vt)+ | ~ element_of_set(X_1,X)+ | ~ element_of_set(X_2,X)+ | eq_p(X_1,X_2)+ | neighborhood(f17(X,Vt,X_1,X_2),X_1,X,Vt) )).++cnf(hausdorff_75,axiom,+ ( ~ hausdorff(X,Vt)+ | ~ element_of_set(X_1,X)+ | ~ element_of_set(X_2,X)+ | eq_p(X_1,X_2)+ | neighborhood(f18(X,Vt,X_1,X_2),X_2,X,Vt) )).++cnf(hausdorff_76,axiom,+ ( ~ hausdorff(X,Vt)+ | ~ element_of_set(X_1,X)+ | ~ element_of_set(X_2,X)+ | eq_p(X_1,X_2)+ | disjoint_s(f17(X,Vt,X_1,X_2),f18(X,Vt,X_1,X_2)) )).++cnf(hausdorff_77,axiom,+ ( hausdorff(X,Vt)+ | ~ topological_space(X,Vt)+ | element_of_set(f19(X,Vt),X) )).++cnf(hausdorff_78,axiom,+ ( hausdorff(X,Vt)+ | ~ topological_space(X,Vt)+ | element_of_set(f20(X,Vt),X) )).++cnf(hausdorff_79,axiom,+ ( hausdorff(X,Vt)+ | ~ topological_space(X,Vt)+ | ~ eq_p(f19(X,Vt),f20(X,Vt)) )).++cnf(hausdorff_80,axiom,+ ( hausdorff(X,Vt)+ | ~ topological_space(X,Vt)+ | ~ neighborhood(Uu19,f19(X,Vt),X,Vt)+ | ~ neighborhood(Uu20,f20(X,Vt),X,Vt)+ | ~ disjoint_s(Uu19,Uu20) )).++%----Separation in a topological space+cnf(separation_81,axiom,+ ( ~ separation(Va1,Va2,X,Vt)+ | topological_space(X,Vt) )).++cnf(separation_82,axiom,+ ( ~ separation(Va1,Va2,X,Vt)+ | ~ equal_sets(Va1,empty_set) )).++cnf(separation_83,axiom,+ ( ~ separation(Va1,Va2,X,Vt)+ | ~ equal_sets(Va2,empty_set) )).++cnf(separation_84,axiom,+ ( ~ separation(Va1,Va2,X,Vt)+ | element_of_collection(Va1,Vt) )).++cnf(separation_85,axiom,+ ( ~ separation(Va1,Va2,X,Vt)+ | element_of_collection(Va2,Vt) )).++cnf(separation_86,axiom,+ ( ~ separation(Va1,Va2,X,Vt)+ | equal_sets(union_of_sets(Va1,Va2),X) )).++cnf(separation_87,axiom,+ ( ~ separation(Va1,Va2,X,Vt)+ | disjoint_s(Va1,Va2) )).++cnf(separation_88,axiom,+ ( separation(Va1,Va2,X,Vt)+ | ~ topological_space(X,Vt)+ | equal_sets(Va1,empty_set)+ | equal_sets(Va2,empty_set)+ | ~ element_of_collection(Va1,Vt)+ | ~ element_of_collection(Va2,Vt)+ | ~ equal_sets(union_of_sets(Va1,Va2),X)+ | ~ disjoint_s(Va1,Va2) )).++%----Connected topological space+cnf(connected_space_89,axiom,+ ( ~ connected_space(X,Vt)+ | topological_space(X,Vt) )).++cnf(connected_space_90,axiom,+ ( ~ connected_space(X,Vt)+ | ~ separation(Va1,Va2,X,Vt) )).++cnf(connected_space_91,axiom,+ ( connected_space(X,Vt)+ | ~ topological_space(X,Vt)+ | separation(f21(X,Vt),f22(X,Vt),X,Vt) )).++%----Connected set+cnf(connected_set_92,axiom,+ ( ~ connected_set(Va,X,Vt)+ | topological_space(X,Vt) )).++cnf(connected_set_93,axiom,+ ( ~ connected_set(Va,X,Vt)+ | subset_sets(Va,X) )).++cnf(connected_set_94,axiom,+ ( ~ connected_set(Va,X,Vt)+ | connected_space(Va,subspace_topology(X,Vt,Va)) )).++cnf(connected_set_95,axiom,+ ( connected_set(Va,X,Vt)+ | ~ topological_space(X,Vt)+ | ~ subset_sets(Va,X)+ | ~ connected_space(Va,subspace_topology(X,Vt,Va)) )).++%----Open covering+cnf(open_covering_96,axiom,+ ( ~ open_covering(Vf,X,Vt)+ | topological_space(X,Vt) )).++cnf(open_covering_97,axiom,+ ( ~ open_covering(Vf,X,Vt)+ | subset_collections(Vf,Vt) )).++cnf(open_covering_98,axiom,+ ( ~ open_covering(Vf,X,Vt)+ | equal_sets(union_of_members(Vf),X) )).++cnf(open_covering_99,axiom,+ ( open_covering(Vf,X,Vt)+ | ~ topological_space(X,Vt)+ | ~ subset_collections(Vf,Vt)+ | ~ equal_sets(union_of_members(Vf),X) )).++%----Compact topological space+cnf(compact_space_100,axiom,+ ( ~ compact_space(X,Vt)+ | topological_space(X,Vt) )).++cnf(compact_space_101,axiom,+ ( ~ compact_space(X,Vt)+ | ~ open_covering(Vf1,X,Vt)+ | finite(f23(X,Vt,Vf1)) )).++cnf(compact_space_102,axiom,+ ( ~ compact_space(X,Vt)+ | ~ open_covering(Vf1,X,Vt)+ | subset_collections(f23(X,Vt,Vf1),Vf1) )).++cnf(compact_space_103,axiom,+ ( ~ compact_space(X,Vt)+ | ~ open_covering(Vf1,X,Vt)+ | open_covering(f23(X,Vt,Vf1),X,Vt) )).++cnf(compact_space_104,axiom,+ ( compact_space(X,Vt)+ | ~ topological_space(X,Vt)+ | open_covering(f24(X,Vt),X,Vt) )).++cnf(compact_space_105,axiom,+ ( compact_space(X,Vt)+ | ~ topological_space(X,Vt)+ | ~ finite(Uu24)+ | ~ subset_collections(Uu24,f24(X,Vt))+ | ~ open_covering(Uu24,X,Vt) )).++%----Compact set+cnf(compact_set_106,axiom,+ ( ~ compact_set(Va,X,Vt)+ | topological_space(X,Vt) )).++cnf(compact_set_107,axiom,+ ( ~ compact_set(Va,X,Vt)+ | subset_sets(Va,X) )).++cnf(compact_set_108,axiom,+ ( ~ compact_set(Va,X,Vt)+ | compact_space(Va,subspace_topology(X,Vt,Va)) )).++cnf(compact_set_109,axiom,+ ( compact_set(Va,X,Vt)+ | ~ topological_space(X,Vt)+ | ~ subset_sets(Va,X)+ | ~ compact_space(Va,subspace_topology(X,Vt,Va)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/AGT001+0.ax view
@@ -0,0 +1,185 @@+%------------------------------------------------------------------------------+% File : AGT001+0 : TPTP v7.2.0. Released v2.7.0.+% Domain : Agents+% Axioms : CPlanT system+% Version : [Bar03] axioms : Especial.+% English :++% Refs : [Bar03] Barta, J. (2003), Email to G. Sutcliffe+% Source : [Bar03]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 20 ( 0 unit)+% Number of atoms : 98 ( 0 equality)+% Maximal formula depth : 8 ( 7 average)+% Number of connectives : 79 ( 1 ~ ; 0 |; 58 &)+% ( 14 <=>; 6 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 10 ( 0 propositional; 2-4 arity)+% Number of functors : 47 ( 47 constant; 0-0 arity)+% Number of variables : 35 ( 0 singleton; 35 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires NUM005+0.ax NUM005+1.ax+%------------------------------------------------------------------------------+fof(a1_1,axiom,+ ( ! [A,C,N,L] :+ ( accept_team(A,L,C,N)+ <=> ( accept_city(A,C)+ & accept_leader(A,L)+ & accept_number(A,N) ) ) )).++fof(a1_2,axiom,+ ( ! [A,N,M] :+ ( ( accept_number(A,N)+ & less(M,N) )+ => accept_number(A,M) ) )).++fof(a1_3,axiom,+ ( ! [A,N,M,P] :+ ( ( accept_population(A,P,N)+ & less(M,N) )+ => accept_population(A,P,M) ) )).++fof(a1_4,axiom,+ ( ! [A,L,C] :+ ( the_agent_in_all_proposed_teams(A,L,C)+ => ( accept_leader(A,L)+ & accept_city(A,C) ) ) )).++fof(a1_5,axiom,+ ( ! [A,L,C] :+ ( any_agent_in_all_proposed_teams(A,L,C)+ => accept_leader(A,L) ) )).++fof(a1_6,axiom,+ ( ! [A,L,C] :+ ( the_agent_not_in_any_proposed_teams(A,L,C)+ => ~ ( accept_city(A,C)+ & accept_leader(A,L) ) ) )).++fof(a1_7,axiom,+ ( ! [A,N] :+ ( min_number_of_proposed_agents(A,N)+ => accept_number(A,N) ) )).++fof(a2_1,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n65)+ & accept_population(A,christian,n20)+ & accept_population(A,muslim,n7)+ & accept_population(A,native,n4)+ & accept_population(A,other,n4) )+ <=> accept_city(A,suffertown) ) )).++fof(a2_2,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n54)+ & accept_population(A,christian,n23)+ & accept_population(A,muslim,n3)+ & accept_population(A,native,n1)+ & accept_population(A,other,n9) )+ <=> accept_city(A,centraltown) ) )).++fof(a2_3,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n30)+ & accept_population(A,christian,n8)+ & accept_population(A,muslim,n60)+ & accept_population(A,native,n1)+ & accept_population(A,other,n1) )+ <=> accept_city(A,sunnysideport) ) )).++fof(a2_4,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n70)+ & accept_population(A,christian,n15)+ & accept_population(A,muslim,n1)+ & accept_population(A,native,n10)+ & accept_population(A,other,n4) )+ <=> accept_city(A,centrallakecity) ) )).++fof(a2_5,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n68)+ & accept_population(A,christian,n16)+ & accept_population(A,muslim,n1)+ & accept_population(A,native,n11)+ & accept_population(A,other,n4) )+ <=> accept_city(A,stjosephburgh) ) )).++fof(a2_6,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n70)+ & accept_population(A,christian,n13)+ & accept_population(A,muslim,n0)+ & accept_population(A,native,n15)+ & accept_population(A,other,n2) )+ <=> accept_city(A,northport) ) )).++fof(a2_7,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n12)+ & accept_population(A,christian,n3)+ & accept_population(A,muslim,n0)+ & accept_population(A,native,n85)+ & accept_population(A,other,n0) )+ <=> accept_city(A,coastvillage) ) )).++fof(a2_8,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n0)+ & accept_population(A,christian,n0)+ & accept_population(A,muslim,n0)+ & accept_population(A,native,n100)+ & accept_population(A,other,n0) )+ <=> accept_city(A,sunsetpoint) ) )).++fof(a2_9,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n75)+ & accept_population(A,christian,n24)+ & accept_population(A,muslim,n1)+ & accept_population(A,native,n0)+ & accept_population(A,other,n0) )+ <=> accept_city(A,towna) ) )).++fof(a2_10,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n75)+ & accept_population(A,christian,n25)+ & accept_population(A,muslim,n0)+ & accept_population(A,native,n0)+ & accept_population(A,other,n0) )+ <=> accept_city(A,citya) ) )).++fof(a2_11,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n70)+ & accept_population(A,christian,n20)+ & accept_population(A,muslim,n8)+ & accept_population(A,native,n0)+ & accept_population(A,other,n2) )+ <=> accept_city(A,townb) ) )).++fof(a2_12,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n78)+ & accept_population(A,christian,n20)+ & accept_population(A,muslim,n1)+ & accept_population(A,native,n0)+ & accept_population(A,other,n1) )+ <=> accept_city(A,cityb) ) )).++fof(a2_13,axiom,+ ( ! [A] :+ ( ( accept_population(A,atheist,n30)+ & accept_population(A,christian,n0)+ & accept_population(A,muslim,n65)+ & accept_population(A,native,n0)+ & accept_population(A,other,n5) )+ <=> accept_city(A,townc) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/AGT001+1.ax view
@@ -0,0 +1,774 @@+%--------------------------------------------------------------------------+% File : AGT001+1 : TPTP v7.2.0. Released v2.7.0.+% Domain : Agents+% Axioms : CPlanT events+% Version : [Bar03] axioms : Especial.+% English :++% Refs : [Bar03] Barta, J. (2003), Email to G. Sutcliffe+% Source : [Bar03]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 249 ( 249 unit)+% Number of atoms : 249 ( 0 equality)+% Maximal formula depth : 2 ( 1 average)+% Number of connectives : 40 ( 40 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 5 ( 0 propositional; 2-4 arity)+% Number of functors : 22 ( 22 constant; 0-0 arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires AGT001+0.ax+%--------------------------------------------------------------------------+fof(event_1,axiom,+ ( accept_team(countryahumanitarianorganization,countryacivilorganization,cityb,n6) )).++fof(event_2,axiom,+ ( accept_team(countryahumanitarianorganization,countryacivilorganization,towna,n6) )).++fof(event_3,axiom,+ ( accept_team(countryahumanitarianorganization,countryacivilorganization,coastvillage,n6) )).++fof(event_4,axiom,+ ( accept_team(countryahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) )).++fof(event_5,axiom,+ ( the_agent_in_all_proposed_teams(countryahumanitarianorganization,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_6,axiom,+ ( any_agent_in_all_proposed_teams(countryahumanitarianorganization,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_7,axiom,+ ( accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n2) )).++fof(event_8,axiom,+ ( accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4) )).++fof(event_9,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countrycmedicalorganization,towna,n4) )).++fof(event_10,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countrycmedicalorganization,towna,n5) )).++fof(event_11,axiom,+ ( the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) )).++fof(event_12,axiom,+ ( any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) )).++fof(event_13,axiom,+ ( accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5) )).++fof(event_14,axiom,+ ( accept_team(countryamedicalorganization,countryacivilorganization,cityb,n6) )).++fof(event_15,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countrybhumanitarianorganization,cityb,n4) )).++fof(event_16,axiom,+ ( accept_team(countryafirstaidorganization,countryacivilorganization,cityb,n6) )).++fof(event_17,axiom,+ ( accept_number(countrybhumanitarianorganization,n4) )).++fof(event_18,axiom,+ ( accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n4) )).++fof(event_19,axiom,+ ( accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,cityb,n6) )).++fof(event_20,axiom,+ ( accept_team(sufferterragovernment,countryacivilorganization,cityb,n6) )).++fof(event_21,axiom,+ ( accept_number(countrybhumanitarianorganization,n1) )).++fof(event_22,axiom,+ ( the_agent_in_all_proposed_teams(countrybhumanitarianorganization,countryacivilorganization,towna) )).++fof(event_23,axiom,+ ( any_agent_in_all_proposed_teams(countrybhumanitarianorganization,countryacivilorganization,towna) )).++fof(event_24,axiom,+ ( accept_team(countrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5) )).++fof(event_25,axiom,+ ( accept_team(countrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6) )).++fof(event_26,axiom,+ ( accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6) )).++fof(event_27,axiom,+ ( accept_team(countryamedicalorganization,countryacivilorganization,towna,n6) )).++fof(event_28,axiom,+ ( accept_number(countryahumanitarianorganization,n2) )).++fof(event_29,axiom,+ ( ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n2) )).++fof(event_30,axiom,+ ( ~ accept_team(countryamedicalorganization,countryafirstaidorganization,coastvillage,n2) )).++fof(event_31,axiom,+ ( ~ accept_team(countryamedicalorganization,countryacivilorganization,coastvillage,n2) )).++fof(event_32,axiom,+ ( ~ accept_team(countryamedicalorganization,christiansufferterrahumanitarianorganization,coastvillage,n2) )).++fof(event_33,axiom,+ ( ~ accept_team(countryamedicalorganization,sufferterragovernment,coastvillage,n2) )).++fof(event_34,axiom,+ ( ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n6) )).++fof(event_35,axiom,+ ( ~ accept_team(countryamedicalorganization,countryacivilorganization,coastvillage,n6) )).++fof(event_36,axiom,+ ( ~ accept_team(countryamedicalorganization,countryafirstaidorganization,coastvillage,n6) )).++fof(event_37,axiom,+ ( the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_38,axiom,+ ( any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_39,axiom,+ ( accept_team(countryccivilorganization,countrycmedicalorganization,towna,n4) )).++fof(event_40,axiom,+ ( ~ accept_team(countryccivilorganization,countrycmedicalorganization,towna,n5) )).++fof(event_41,axiom,+ ( the_agent_in_all_proposed_teams(countryccivilorganization,countryacivilorganization,towna) )).++fof(event_42,axiom,+ ( any_agent_in_all_proposed_teams(countryccivilorganization,countryacivilorganization,towna) )).++fof(event_43,axiom,+ ( accept_team(countrybcivilorganization,countrycmedicalorganization,towna,n4) )).++fof(event_44,axiom,+ ( accept_team(countrybcivilorganization,countrycmedicalorganization,towna,n5) )).++fof(event_45,axiom,+ ( accept_number(countrybcivilorganization,n5) )).++fof(event_46,axiom,+ ( the_agent_in_all_proposed_teams(countrybcivilorganization,countryacivilorganization,towna) )).++fof(event_47,axiom,+ ( any_agent_in_all_proposed_teams(countrybcivilorganization,countryacivilorganization,towna) )).++fof(event_48,axiom,+ ( accept_team(sufferterragovernment,countryacivilorganization,towna,n6) )).++fof(event_49,axiom,+ ( the_agent_in_all_proposed_teams(countrycmedicalorganization,countryacivilorganization,towna) )).++fof(event_50,axiom,+ ( any_agent_in_all_proposed_teams(countrycmedicalorganization,countryacivilorganization,towna) )).++fof(event_51,axiom,+ ( accept_team(countrycmedicalorganization,christiancountrychumanitarianorganization,coastvillage,n5) )).++fof(event_52,axiom,+ ( accept_number(countrycmedicalorganization,n4) )).++fof(event_53,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countrycmedicalorganization,towna,n4) )).++fof(event_54,axiom,+ ( accept_number(countrycmedicalorganization,n5) )).++fof(event_55,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countrycmedicalorganization,towna,n5) )).++fof(event_56,axiom,+ ( the_agent_in_all_proposed_teams(christiancountrychumanitarianorganization,countryacivilorganization,towna) )).++fof(event_57,axiom,+ ( any_agent_in_all_proposed_teams(christiancountrychumanitarianorganization,countryacivilorganization,towna) )).++fof(event_58,axiom,+ ( accept_team(countryafirstaidorganization,countryacivilorganization,towna,n6) )).++fof(event_59,axiom,+ ( accept_number(countryacivilorganization,n2) )).++fof(event_60,axiom,+ ( accept_team(countryacivilorganization,countryahumanitarianorganization,coastvillage,n5) )).++fof(event_61,axiom,+ ( accept_team(countryacivilorganization,countryahumanitarianorganization,coastvillage,n6) )).++fof(event_62,axiom,+ ( accept_team(countryacivilorganization,countryafirstaidorganization,coastvillage,n6) )).++fof(event_63,axiom,+ ( the_agent_in_all_proposed_teams(countryacivilorganization,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_64,axiom,+ ( any_agent_in_all_proposed_teams(countryacivilorganization,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_65,axiom,+ ( accept_number(countryafirstaidorganization,n2) )).++fof(event_66,axiom,+ ( accept_team(countryafirstaidorganization,countryahumanitarianorganization,coastvillage,n5) )).++fof(event_67,axiom,+ ( accept_team(countryafirstaidorganization,countryahumanitarianorganization,coastvillage,n6) )).++fof(event_68,axiom,+ ( accept_team(countryafirstaidorganization,countryacivilorganization,coastvillage,n6) )).++fof(event_69,axiom,+ ( the_agent_in_all_proposed_teams(countryafirstaidorganization,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_70,axiom,+ ( any_agent_in_all_proposed_teams(countryafirstaidorganization,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_71,axiom,+ ( ~ accept_team(countryccivilorganization,christiancountrychumanitarianorganization,coastvillage,n5) )).++fof(event_72,axiom,+ ( ~ accept_team(countryccivilorganization,christiancountrychumanitarianorganization,coastvillage,n6) )).++fof(event_73,axiom,+ ( accept_number(christiancountrychumanitarianorganization,n5) )).++fof(event_74,axiom,+ ( accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n5) )).++fof(event_75,axiom,+ ( accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n6) )).++fof(event_76,axiom,+ ( accept_team(countrybcivilorganization,muslimcountrybhumanitarianorganization,townc,n6) )).++fof(event_77,axiom,+ ( accept_team(countrybcivilorganization,countrybhumanitarianorganization,townc,n6) )).++fof(event_78,axiom,+ ( accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,townc,n6) )).++fof(event_79,axiom,+ ( accept_team(countrybcivilorganization,countrycmedicalorganization,townc,n6) )).++fof(event_80,axiom,+ ( the_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc) )).++fof(event_81,axiom,+ ( any_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc) )).++fof(event_82,axiom,+ ( accept_team(sufferterragovernment,countryahumanitarianorganization,coastvillage,n5) )).++fof(event_83,axiom,+ ( accept_team(sufferterragovernment,countryahumanitarianorganization,coastvillage,n6) )).++fof(event_84,axiom,+ ( accept_team(sufferterragovernment,countryacivilorganization,coastvillage,n6) )).++fof(event_85,axiom,+ ( accept_team(sufferterragovernment,countryafirstaidorganization,coastvillage,n6) )).++fof(event_86,axiom,+ ( the_agent_in_all_proposed_teams(sufferterragovernment,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_87,axiom,+ ( any_agent_in_all_proposed_teams(sufferterragovernment,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_88,axiom,+ ( accept_number(christiansufferterrahumanitarianorganization,n2) )).++fof(event_89,axiom,+ ( accept_number(countryahumanitarianorganization,n5) )).++fof(event_90,axiom,+ ( accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5) )).++fof(event_91,axiom,+ ( accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n6) )).++fof(event_92,axiom,+ ( accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,coastvillage,n6) )).++fof(event_93,axiom,+ ( accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) )).++fof(event_94,axiom,+ ( the_agent_in_all_proposed_teams(christiansufferterrahumanitarianorganization,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_95,axiom,+ ( any_agent_in_all_proposed_teams(christiansufferterrahumanitarianorganization,christiancountrychumanitarianorganization,coastvillage) )).++fof(event_96,axiom,+ ( accept_team(countrycmedicalorganization,christiancountrychumanitarianorganization,coastvillage,n6) )).++fof(event_97,axiom,+ ( accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6) )).++fof(event_98,axiom,+ ( accept_number(muslimcountrybhumanitarianorganization,n3) )).++fof(event_99,axiom,+ ( accept_team(muslimcountrybhumanitarianorganization,countryccivilorganization,townc,n4) )).++fof(event_100,axiom,+ ( accept_team(muslimcountrybhumanitarianorganization,countrybcivilorganization,townc,n6) )).++fof(event_101,axiom,+ ( accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,townc,n6) )).++fof(event_102,axiom,+ ( accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,townc,n6) )).++fof(event_103,axiom,+ ( accept_team(muslimcountrybhumanitarianorganization,countrycmedicalorganization,townc,n6) )).++fof(event_104,axiom,+ ( the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc) )).++fof(event_105,axiom,+ ( any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc) )).++fof(event_106,axiom,+ ( accept_team(countryacivilorganization,countryahumanitarianorganization,townc,n6) )).++fof(event_107,axiom,+ ( accept_team(countryafirstaidorganization,countryahumanitarianorganization,townc,n6) )).++fof(event_108,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countryccivilorganization,townc,n4) )).++fof(event_109,axiom,+ ( accept_team(christiancountrychumanitarianorganization,muslimcountrybhumanitarianorganization,townc,n6) )).++fof(event_110,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countrybcivilorganization,townc,n6) )).++fof(event_111,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countrybhumanitarianorganization,townc,n6) )).++fof(event_112,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countrycmedicalorganization,townc,n6) )).++fof(event_113,axiom,+ ( the_agent_in_all_proposed_teams(christiancountrychumanitarianorganization,countryahumanitarianorganization,townc) )).++fof(event_114,axiom,+ ( any_agent_in_all_proposed_teams(christiancountrychumanitarianorganization,countryahumanitarianorganization,townc) )).++fof(event_115,axiom,+ ( ~ accept_team(countryccivilorganization,muslimcountrybhumanitarianorganization,townc,n6) )).++fof(event_116,axiom,+ ( ~ accept_team(countryccivilorganization,countrybcivilorganization,townc,n6) )).++fof(event_117,axiom,+ ( ~ accept_team(countryccivilorganization,countrybhumanitarianorganization,townc,n6) )).++fof(event_118,axiom,+ ( ~ accept_team(countryccivilorganization,christiancountrychumanitarianorganization,townc,n6) )).++fof(event_119,axiom,+ ( ~ accept_team(countryccivilorganization,countrycmedicalorganization,townc,n6) )).++fof(event_120,axiom,+ ( the_agent_in_all_proposed_teams(countryccivilorganization,countryahumanitarianorganization,townc) )).++fof(event_121,axiom,+ ( any_agent_in_all_proposed_teams(countryccivilorganization,countryahumanitarianorganization,townc) )).++fof(event_122,axiom,+ ( accept_team(countrybhumanitarianorganization,countrybcivilorganization,townc,n2) )).++fof(event_123,axiom,+ ( accept_team(countrybhumanitarianorganization,muslimcountrybhumanitarianorganization,townc,n6) )).++fof(event_124,axiom,+ ( accept_team(sufferterragovernment,countryahumanitarianorganization,townc,n6) )).++fof(event_125,axiom,+ ( accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,townc,n6) )).++fof(event_126,axiom,+ ( accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6) )).++fof(event_127,axiom,+ ( accept_team(countrycmedicalorganization,countryccivilorganization,townc,n4) )).++fof(event_128,axiom,+ ( accept_team(countrycmedicalorganization,muslimcountrybhumanitarianorganization,townc,n6) )).++fof(event_129,axiom,+ ( accept_team(countrycmedicalorganization,countrybcivilorganization,townc,n6) )).++fof(event_130,axiom,+ ( accept_team(countrycmedicalorganization,countrybhumanitarianorganization,townc,n6) )).++fof(event_131,axiom,+ ( accept_team(countrycmedicalorganization,christiancountrychumanitarianorganization,townc,n6) )).++fof(event_132,axiom,+ ( the_agent_in_all_proposed_teams(countrycmedicalorganization,countryahumanitarianorganization,townc) )).++fof(event_133,axiom,+ ( any_agent_in_all_proposed_teams(countrycmedicalorganization,countryahumanitarianorganization,townc) )).++fof(event_134,axiom,+ ( accept_team(countrybhumanitarianorganization,countrybcivilorganization,townc,n6) )).++fof(event_135,axiom,+ ( accept_team(countrybhumanitarianorganization,christiancountrychumanitarianorganization,townc,n6) )).++fof(event_136,axiom,+ ( accept_team(countrybhumanitarianorganization,countrycmedicalorganization,townc,n6) )).++fof(event_137,axiom,+ ( the_agent_in_all_proposed_teams(countrybhumanitarianorganization,countryahumanitarianorganization,townc) )).++fof(event_138,axiom,+ ( any_agent_in_all_proposed_teams(countrybhumanitarianorganization,countryahumanitarianorganization,townc) )).++fof(event_139,axiom,+ ( accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,cityb,n6) )).++fof(event_140,axiom,+ ( accept_number(christiansufferterrahumanitarianorganization,n6) )).++fof(event_141,axiom,+ ( the_agent_in_all_proposed_teams(christiansufferterrahumanitarianorganization,countrybhumanitarianorganization,cityb) )).++fof(event_142,axiom,+ ( any_agent_in_all_proposed_teams(christiansufferterrahumanitarianorganization,countrybhumanitarianorganization,cityb) )).++fof(event_143,axiom,+ ( ~ accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n5) )).++fof(event_144,axiom,+ ( ~ accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n6) )).++fof(event_145,axiom,+ ( accept_team(sufferterragovernment,countryahumanitarianorganization,cityb,n6) )).++fof(event_146,axiom,+ ( the_agent_in_all_proposed_teams(sufferterragovernment,countrybhumanitarianorganization,cityb) )).++fof(event_147,axiom,+ ( any_agent_in_all_proposed_teams(sufferterragovernment,countrybhumanitarianorganization,cityb) )).++fof(event_148,axiom,+ ( accept_team(countryafirstaidorganization,countryahumanitarianorganization,cityb,n6) )).++fof(event_149,axiom,+ ( accept_number(countryafirstaidorganization,n6) )).++fof(event_150,axiom,+ ( the_agent_in_all_proposed_teams(countryafirstaidorganization,countrybhumanitarianorganization,cityb) )).++fof(event_151,axiom,+ ( any_agent_in_all_proposed_teams(countryafirstaidorganization,countrybhumanitarianorganization,cityb) )).++fof(event_152,axiom,+ ( accept_team(countryafirstaidorganization,sufferterragovernment,towna,n5) )).++fof(event_153,axiom,+ ( accept_team(countryafirstaidorganization,sufferterragovernment,towna,n6) )).++fof(event_154,axiom,+ ( accept_team(countrycmedicalorganization,countrybhumanitarianorganization,cityb,n5) )).++fof(event_155,axiom,+ ( accept_team(countrycmedicalorganization,countrybhumanitarianorganization,cityb,n6) )).++fof(event_156,axiom,+ ( accept_team(countryamedicalorganization,countryahumanitarianorganization,cityb,n6) )).++fof(event_157,axiom,+ ( accept_number(countryamedicalorganization,n6) )).++fof(event_158,axiom,+ ( the_agent_in_all_proposed_teams(countryamedicalorganization,countrybhumanitarianorganization,cityb) )).++fof(event_159,axiom,+ ( any_agent_in_all_proposed_teams(countryamedicalorganization,countrybhumanitarianorganization,cityb) )).++fof(event_160,axiom,+ ( accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n5) )).++fof(event_161,axiom,+ ( accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n6) )).++fof(event_162,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countrybhumanitarianorganization,cityb,n5) )).++fof(event_163,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countrybhumanitarianorganization,cityb,n6) )).++fof(event_164,axiom,+ ( the_agent_in_all_proposed_teams(countryahumanitarianorganization,countrybhumanitarianorganization,cityb) )).++fof(event_165,axiom,+ ( any_agent_in_all_proposed_teams(countryahumanitarianorganization,countrybhumanitarianorganization,cityb) )).++fof(event_166,axiom,+ ( accept_number(countryahumanitarianorganization,n6) )).++fof(event_167,axiom,+ ( accept_team(countryacivilorganization,countryahumanitarianorganization,cityb,n6) )).++fof(event_168,axiom,+ ( accept_number(countryacivilorganization,n6) )).++fof(event_169,axiom,+ ( the_agent_in_all_proposed_teams(countryacivilorganization,countrybhumanitarianorganization,cityb) )).++fof(event_170,axiom,+ ( any_agent_in_all_proposed_teams(countryacivilorganization,countrybhumanitarianorganization,cityb) )).++fof(event_171,axiom,+ ( accept_number(countrybhumanitarianorganization,n5) )).++fof(event_172,axiom,+ ( accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5) )).++fof(event_173,axiom,+ ( accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6) )).++fof(event_174,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countrybcivilorganization,towna,n2) )).++fof(event_175,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countrycmedicalorganization,towna,n2) )).++fof(event_176,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,towna,n2) )).++fof(event_177,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countryccivilorganization,towna,n2) )).++fof(event_178,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countrybcivilorganization,towna,n3) )).++fof(event_179,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,towna,n3) )).++fof(event_180,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countrycmedicalorganization,towna,n3) )).++fof(event_181,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countryccivilorganization,towna,n3) )).++fof(event_182,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,towna,n2) )).++fof(event_183,axiom,+ ( accept_number(muslimcountrybhumanitarianorganization,n2) )).++fof(event_184,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countryccivilorganization,towna,n4) )).++fof(event_185,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countrybcivilorganization,towna,n6) )).++fof(event_186,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,towna,n6) )).++fof(event_187,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,towna,n6) )).++fof(event_188,axiom,+ ( accept_team(countryamedicalorganization,sufferterragovernment,towna,n5) )).++fof(event_189,axiom,+ ( accept_team(countryamedicalorganization,sufferterragovernment,towna,n6) )).++fof(event_190,axiom,+ ( accept_team(countryahumanitarianorganization,sufferterragovernment,towna,n5) )).++fof(event_191,axiom,+ ( accept_team(countryahumanitarianorganization,sufferterragovernment,towna,n6) )).++fof(event_192,axiom,+ ( accept_number(christiancountrychumanitarianorganization,n2) )).++fof(event_193,axiom,+ ( accept_team(countrybhumanitarianorganization,countrybcivilorganization,towna,n3) )).++fof(event_194,axiom,+ ( accept_team(countrybhumanitarianorganization,christiancountrychumanitarianorganization,towna,n3) )).++fof(event_195,axiom,+ ( accept_team(countrybhumanitarianorganization,countrycmedicalorganization,towna,n3) )).++fof(event_196,axiom,+ ( accept_team(countrybhumanitarianorganization,countryccivilorganization,towna,n3) )).++fof(event_197,axiom,+ ( accept_number(countrybhumanitarianorganization,n2) )).++fof(event_198,axiom,+ ( accept_team(countrybhumanitarianorganization,countrybcivilorganization,towna,n6) )).++fof(event_199,axiom,+ ( accept_team(countrybhumanitarianorganization,christiancountrychumanitarianorganization,towna,n6) )).++fof(event_200,axiom,+ ( accept_team(countrybhumanitarianorganization,countrycmedicalorganization,towna,n6) )).++fof(event_201,axiom,+ ( the_agent_in_all_proposed_teams(countrybhumanitarianorganization,sufferterragovernment,towna) )).++fof(event_202,axiom,+ ( any_agent_in_all_proposed_teams(countrybhumanitarianorganization,sufferterragovernment,towna) )).++fof(event_203,axiom,+ ( accept_number(countrybcivilorganization,n2) )).++fof(event_204,axiom,+ ( accept_number(countrybcivilorganization,n3) )).++fof(event_205,axiom,+ ( accept_team(countrybcivilorganization,countryccivilorganization,towna,n4) )).++fof(event_206,axiom,+ ( accept_team(countrybcivilorganization,countrybhumanitarianorganization,towna,n6) )).++fof(event_207,axiom,+ ( accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,towna,n6) )).++fof(event_208,axiom,+ ( accept_team(countrybcivilorganization,countrycmedicalorganization,towna,n6) )).++fof(event_209,axiom,+ ( the_agent_in_all_proposed_teams(countrybcivilorganization,sufferterragovernment,towna) )).++fof(event_210,axiom,+ ( any_agent_in_all_proposed_teams(countrybcivilorganization,sufferterragovernment,towna) )).++fof(event_211,axiom,+ ( accept_number(sufferterragovernment,n2) )).++fof(event_212,axiom,+ ( ~ accept_team(christiansufferterrahumanitarianorganization,sufferterragovernment,towna,n2) )).++fof(event_213,axiom,+ ( ~ accept_team(christiansufferterrahumanitarianorganization,sufferterragovernment,towna,n6) )).++fof(event_214,axiom,+ ( accept_number(countryccivilorganization,n2) )).++fof(event_215,axiom,+ ( accept_number(countryccivilorganization,n3) )).++fof(event_216,axiom,+ ( ~ accept_team(countryccivilorganization,countrybcivilorganization,towna,n6) )).++fof(event_217,axiom,+ ( ~ accept_team(countryccivilorganization,countrybhumanitarianorganization,towna,n6) )).++fof(event_218,axiom,+ ( ~ accept_team(countryccivilorganization,christiancountrychumanitarianorganization,towna,n6) )).++fof(event_219,axiom,+ ( ~ accept_team(countryccivilorganization,countrycmedicalorganization,towna,n6) )).++fof(event_220,axiom,+ ( the_agent_in_all_proposed_teams(countryccivilorganization,sufferterragovernment,towna) )).++fof(event_221,axiom,+ ( any_agent_in_all_proposed_teams(countryccivilorganization,sufferterragovernment,towna) )).++fof(event_222,axiom,+ ( accept_number(sufferterragovernment,n5) )).++fof(event_223,axiom,+ ( accept_team(countryacivilorganization,sufferterragovernment,towna,n5) )).++fof(event_224,axiom,+ ( accept_number(sufferterragovernment,n6) )).++fof(event_225,axiom,+ ( accept_team(countryacivilorganization,sufferterragovernment,towna,n6) )).++fof(event_226,axiom,+ ( accept_number(countrycmedicalorganization,n2) )).++fof(event_227,axiom,+ ( accept_number(countrycmedicalorganization,n3) )).++fof(event_228,axiom,+ ( accept_team(countrycmedicalorganization,countryccivilorganization,towna,n4) )).++fof(event_229,axiom,+ ( accept_team(countrycmedicalorganization,countrybcivilorganization,towna,n6) )).++fof(event_230,axiom,+ ( accept_team(countrycmedicalorganization,countrybhumanitarianorganization,towna,n6) )).++fof(event_231,axiom,+ ( accept_team(countrycmedicalorganization,christiancountrychumanitarianorganization,towna,n6) )).++fof(event_232,axiom,+ ( the_agent_in_all_proposed_teams(countrycmedicalorganization,sufferterragovernment,towna) )).++fof(event_233,axiom,+ ( any_agent_in_all_proposed_teams(countrycmedicalorganization,sufferterragovernment,towna) )).++fof(event_234,axiom,+ ( accept_number(christiancountrychumanitarianorganization,n3) )).++fof(event_235,axiom,+ ( accept_number(countryccivilorganization,n4) )).++fof(event_236,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countryccivilorganization,towna,n4) )).++fof(event_237,axiom,+ ( accept_number(countrybcivilorganization,n6) )).++fof(event_238,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countrybcivilorganization,towna,n6) )).++fof(event_239,axiom,+ ( accept_number(countrybhumanitarianorganization,n6) )).++fof(event_240,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countrybhumanitarianorganization,towna,n6) )).++fof(event_241,axiom,+ ( accept_team(christiancountrychumanitarianorganization,countrycmedicalorganization,towna,n6) )).++fof(event_242,axiom,+ ( accept_number(christiancountrychumanitarianorganization,n6) )).++fof(event_243,axiom,+ ( the_agent_in_all_proposed_teams(christiancountrychumanitarianorganization,sufferterragovernment,towna) )).++fof(event_244,axiom,+ ( any_agent_in_all_proposed_teams(christiancountrychumanitarianorganization,sufferterragovernment,towna) )).++fof(event_245,axiom,+ ( accept_number(countrycmedicalorganization,n6) )).++fof(event_246,axiom,+ ( ~ accept_team(muslimcountrybhumanitarianorganization,countrycmedicalorganization,towna,n6) )).++fof(event_247,axiom,+ ( accept_number(muslimcountrybhumanitarianorganization,n6) )).++fof(event_248,axiom,+ ( the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna) )).++fof(event_249,axiom,+ ( any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/AGT001+2.ax view
@@ -0,0 +1,1128 @@+%--------------------------------------------------------------------------+% File : AGT001+2 : TPTP v7.2.0. Released v2.7.0.+% Domain : Agents+% Axioms : CPlanT lemmas+% Version : [Bar03] axioms : Especial.+% English :++% Refs : [Bar03] Barta, J. (2003), Email to G. Sutcliffe+% Source : [Bar03]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 367 ( 367 unit)+% Number of atoms : 367 ( 0 equality)+% Maximal formula depth : 2 ( 1 average)+% Number of connectives : 5 ( 5 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 4 ( 0 propositional; 2-3 arity)+% Number of functors : 36 ( 36 constant; 0-0 arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires AGT001+0.ax+%--------------------------------------------------------------------------+fof(deduced_1,axiom,+ ( accept_leader(christiancountrychumanitarianorganization,countryacivilorganization) )).++fof(deduced_2,axiom,+ ( accept_leader(christiancountrychumanitarianorganization,muslimcountrybhumanitarianorganization) )).++fof(deduced_3,axiom,+ ( accept_population(christiancountrychumanitarianorganization,other,n5) )).++fof(deduced_4,axiom,+ ( accept_population(christiancountrychumanitarianorganization,muslim,n65) )).++fof(deduced_5,axiom,+ ( accept_population(christiancountrychumanitarianorganization,christian,n0) )).++fof(deduced_6,axiom,+ ( accept_population(christiancountrychumanitarianorganization,atheist,n30) )).++fof(deduced_7,axiom,+ ( accept_city(christiancountrychumanitarianorganization,townc) )).++fof(deduced_8,axiom,+ ( accept_leader(christiancountrychumanitarianorganization,countryahumanitarianorganization) )).++fof(deduced_9,axiom,+ ( accept_population(christiancountrychumanitarianorganization,other,n1) )).++fof(deduced_10,axiom,+ ( accept_population(christiancountrychumanitarianorganization,christian,n20) )).++fof(deduced_11,axiom,+ ( accept_population(christiancountrychumanitarianorganization,atheist,n78) )).++fof(deduced_12,axiom,+ ( accept_city(christiancountrychumanitarianorganization,cityb) )).++fof(deduced_13,axiom,+ ( ~ accept_city(countryamedicalorganization,coastvillage) )).++fof(deduced_14,axiom,+ ( accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) )).++fof(deduced_15,axiom,+ ( accept_population(countryamedicalorganization,other,n5) )).++fof(deduced_16,axiom,+ ( accept_population(countryamedicalorganization,muslim,n65) )).++fof(deduced_17,axiom,+ ( accept_population(countryamedicalorganization,christian,n0) )).++fof(deduced_18,axiom,+ ( accept_population(countryamedicalorganization,atheist,n30) )).++fof(deduced_19,axiom,+ ( accept_leader(countryamedicalorganization,countryahumanitarianorganization) )).++fof(deduced_20,axiom,+ ( accept_city(countryamedicalorganization,townc) )).++fof(deduced_21,axiom,+ ( accept_leader(countryahumanitarianorganization,countryamedicalorganization) )).++fof(deduced_22,axiom,+ ( accept_leader(countryahumanitarianorganization,countryafirstaidorganization) )).++fof(deduced_23,axiom,+ ( accept_population(countryahumanitarianorganization,native,n85) )).++fof(deduced_24,axiom,+ ( accept_population(countryahumanitarianorganization,muslim,n0) )).++fof(deduced_25,axiom,+ ( accept_population(countryahumanitarianorganization,christian,n3) )).++fof(deduced_26,axiom,+ ( accept_population(countryahumanitarianorganization,atheist,n12) )).++fof(deduced_27,axiom,+ ( accept_city(countryahumanitarianorganization,coastvillage) )).++fof(deduced_28,axiom,+ ( accept_leader(countryahumanitarianorganization,christiancountrychumanitarianorganization) )).++fof(deduced_29,axiom,+ ( accept_leader(countryafirstaidorganization,countryamedicalorganization) )).++fof(deduced_30,axiom,+ ( accept_leader(christiansufferterrahumanitarianorganization,countryamedicalorganization) )).++fof(deduced_31,axiom,+ ( accept_leader(countrycmedicalorganization,countryacivilorganization) )).++fof(deduced_32,axiom,+ ( accept_population(countrycmedicalorganization,native,n85) )).++fof(deduced_33,axiom,+ ( accept_population(countrycmedicalorganization,muslim,n0) )).++fof(deduced_34,axiom,+ ( accept_population(countrycmedicalorganization,christian,n3) )).++fof(deduced_35,axiom,+ ( accept_population(countrycmedicalorganization,atheist,n12) )).++fof(deduced_36,axiom,+ ( accept_city(countrycmedicalorganization,coastvillage) )).++fof(deduced_37,axiom,+ ( accept_leader(countrybcivilorganization,countryacivilorganization) )).++fof(deduced_38,axiom,+ ( accept_population(countrybcivilorganization,native,n85) )).++fof(deduced_39,axiom,+ ( accept_population(countrybcivilorganization,muslim,n0) )).++fof(deduced_40,axiom,+ ( accept_population(countrybcivilorganization,christian,n3) )).++fof(deduced_41,axiom,+ ( accept_population(countrybcivilorganization,atheist,n12) )).++fof(deduced_42,axiom,+ ( accept_city(countrybcivilorganization,coastvillage) )).++fof(deduced_43,axiom,+ ( accept_leader(countrybcivilorganization,muslimcountrybhumanitarianorganization) )).++fof(deduced_44,axiom,+ ( accept_population(countrybcivilorganization,other,n5) )).++fof(deduced_45,axiom,+ ( accept_population(countrybcivilorganization,muslim,n65) )).++fof(deduced_46,axiom,+ ( accept_population(countrybcivilorganization,christian,n0) )).++fof(deduced_47,axiom,+ ( accept_population(countrybcivilorganization,atheist,n30) )).++fof(deduced_48,axiom,+ ( accept_city(countrybcivilorganization,townc) )).++fof(deduced_49,axiom,+ ( accept_leader(countrybcivilorganization,countryahumanitarianorganization) )).++fof(deduced_50,axiom,+ ( accept_population(countrybcivilorganization,other,n1) )).++fof(deduced_51,axiom,+ ( accept_population(countrybcivilorganization,christian,n20) )).++fof(deduced_52,axiom,+ ( accept_population(countrybcivilorganization,atheist,n78) )).++fof(deduced_53,axiom,+ ( accept_city(countrybcivilorganization,cityb) )).++fof(deduced_54,axiom,+ ( accept_leader(sufferterragovernment,countryamedicalorganization) )).++fof(deduced_55,axiom,+ ( accept_population(sufferterragovernment,christian,n24) )).++fof(deduced_56,axiom,+ ( accept_population(sufferterragovernment,atheist,n75) )).++fof(deduced_57,axiom,+ ( accept_city(sufferterragovernment,towna) )).++fof(deduced_58,axiom,+ ( ~ accept_number(countryccivilorganization,n5) )).++fof(deduced_59,axiom,+ ( accept_population(countryccivilorganization,other,n1) )).++fof(deduced_60,axiom,+ ( accept_population(countryccivilorganization,christian,n20) )).++fof(deduced_61,axiom,+ ( accept_population(countryccivilorganization,atheist,n78) )).++fof(deduced_62,axiom,+ ( ~ accept_number(countryccivilorganization,n6) )).++fof(deduced_63,axiom,+ ( accept_leader(countryccivilorganization,countrybhumanitarianorganization) )).++fof(deduced_64,axiom,+ ( accept_city(countryccivilorganization,cityb) )).++fof(deduced_65,axiom,+ ( accept_leader(countryccivilorganization,countryacivilorganization) )).++fof(deduced_66,axiom,+ ( accept_leader(countryacivilorganization,countryamedicalorganization) )).++fof(deduced_67,axiom,+ ( accept_leader(countryacivilorganization,countryafirstaidorganization) )).++fof(deduced_68,axiom,+ ( accept_population(countryacivilorganization,native,n85) )).++fof(deduced_69,axiom,+ ( accept_population(countryacivilorganization,muslim,n0) )).++fof(deduced_70,axiom,+ ( accept_population(countryacivilorganization,christian,n3) )).++fof(deduced_71,axiom,+ ( accept_population(countryacivilorganization,atheist,n12) )).++fof(deduced_72,axiom,+ ( accept_city(countryacivilorganization,coastvillage) )).++fof(deduced_73,axiom,+ ( accept_leader(countryacivilorganization,christiancountrychumanitarianorganization) )).++fof(deduced_74,axiom,+ ( accept_population(countryacivilorganization,other,n5) )).++fof(deduced_75,axiom,+ ( accept_population(countryacivilorganization,muslim,n65) )).++fof(deduced_76,axiom,+ ( accept_population(countryacivilorganization,christian,n0) )).++fof(deduced_77,axiom,+ ( accept_population(countryacivilorganization,atheist,n30) )).++fof(deduced_78,axiom,+ ( accept_leader(countryacivilorganization,countryahumanitarianorganization) )).++fof(deduced_79,axiom,+ ( accept_city(countryacivilorganization,townc) )).++fof(deduced_80,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,christian,n24) )).++fof(deduced_81,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,atheist,n75) )).++fof(deduced_82,axiom,+ ( ~ accept_leader(christiansufferterrahumanitarianorganization,sufferterragovernment) )).++fof(deduced_83,axiom,+ ( accept_city(christiansufferterrahumanitarianorganization,towna) )).++fof(deduced_84,axiom,+ ( accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization) )).++fof(deduced_85,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,other,n0) )).++fof(deduced_86,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,native,n85) )).++fof(deduced_87,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,muslim,n0) )).++fof(deduced_88,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,christian,n3) )).++fof(deduced_89,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,atheist,n12) )).++fof(deduced_90,axiom,+ ( accept_city(christiansufferterrahumanitarianorganization,coastvillage) )).++fof(deduced_91,axiom,+ ( accept_leader(christiansufferterrahumanitarianorganization,christiancountrychumanitarianorganization) )).++fof(deduced_92,axiom,+ ( accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) )).++fof(deduced_93,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,other,n0) )).++fof(deduced_94,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,native,n85) )).++fof(deduced_95,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,muslim,n0) )).++fof(deduced_96,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,christian,n3) )).++fof(deduced_97,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,atheist,n12) )).++fof(deduced_98,axiom,+ ( accept_city(muslimcountrybhumanitarianorganization,coastvillage) )).++fof(deduced_99,axiom,+ ( accept_population(countryafirstaidorganization,native,n85) )).++fof(deduced_100,axiom,+ ( accept_population(countryafirstaidorganization,muslim,n0) )).++fof(deduced_101,axiom,+ ( accept_population(countryafirstaidorganization,christian,n3) )).++fof(deduced_102,axiom,+ ( accept_population(countryafirstaidorganization,atheist,n12) )).++fof(deduced_103,axiom,+ ( accept_city(countryafirstaidorganization,coastvillage) )).++fof(deduced_104,axiom,+ ( accept_leader(countryafirstaidorganization,christiancountrychumanitarianorganization) )).++fof(deduced_105,axiom,+ ( accept_population(countryafirstaidorganization,other,n5) )).++fof(deduced_106,axiom,+ ( accept_population(countryafirstaidorganization,muslim,n65) )).++fof(deduced_107,axiom,+ ( accept_population(countryafirstaidorganization,christian,n0) )).++fof(deduced_108,axiom,+ ( accept_population(countryafirstaidorganization,atheist,n30) )).++fof(deduced_109,axiom,+ ( accept_leader(countryafirstaidorganization,countryahumanitarianorganization) )).++fof(deduced_110,axiom,+ ( accept_city(countryafirstaidorganization,townc) )).++fof(deduced_111,axiom,+ ( accept_leader(countryafirstaidorganization,countryacivilorganization) )).++fof(deduced_112,axiom,+ ( accept_population(countryafirstaidorganization,other,n1) )).++fof(deduced_113,axiom,+ ( accept_population(countryafirstaidorganization,christian,n20) )).++fof(deduced_114,axiom,+ ( accept_population(countryafirstaidorganization,atheist,n78) )).++fof(deduced_115,axiom,+ ( accept_city(countryafirstaidorganization,cityb) )).++fof(deduced_116,axiom,+ ( accept_leader(countryafirstaidorganization,countrybhumanitarianorganization) )).++fof(deduced_117,axiom,+ ( accept_leader(countrybhumanitarianorganization,countryacivilorganization) )).++fof(deduced_118,axiom,+ ( accept_population(countrybhumanitarianorganization,native,n85) )).++fof(deduced_119,axiom,+ ( accept_population(countrybhumanitarianorganization,muslim,n0) )).++fof(deduced_120,axiom,+ ( accept_population(countrybhumanitarianorganization,christian,n3) )).++fof(deduced_121,axiom,+ ( accept_population(countrybhumanitarianorganization,atheist,n12) )).++fof(deduced_122,axiom,+ ( accept_city(countrybhumanitarianorganization,coastvillage) )).++fof(deduced_123,axiom,+ ( accept_leader(countrybhumanitarianorganization,muslimcountrybhumanitarianorganization) )).++fof(deduced_124,axiom,+ ( accept_population(countrybhumanitarianorganization,other,n5) )).++fof(deduced_125,axiom,+ ( accept_population(countrybhumanitarianorganization,muslim,n65) )).++fof(deduced_126,axiom,+ ( accept_population(countrybhumanitarianorganization,christian,n0) )).++fof(deduced_127,axiom,+ ( accept_population(countrybhumanitarianorganization,atheist,n30) )).++fof(deduced_128,axiom,+ ( accept_city(countrybhumanitarianorganization,townc) )).++fof(deduced_129,axiom,+ ( accept_leader(countrybhumanitarianorganization,countryahumanitarianorganization) )).++fof(deduced_130,axiom,+ ( accept_leader(countrybhumanitarianorganization,countryccivilorganization) )).++fof(deduced_131,axiom,+ ( accept_leader(countrybhumanitarianorganization,countrybcivilorganization) )).++fof(deduced_132,axiom,+ ( accept_leader(countrybhumanitarianorganization,christiancountrychumanitarianorganization) )).++fof(deduced_133,axiom,+ ( accept_leader(countrybhumanitarianorganization,countrycmedicalorganization) )).++fof(deduced_134,axiom,+ ( accept_population(countrybhumanitarianorganization,other,n0) )).++fof(deduced_135,axiom,+ ( accept_population(countrybhumanitarianorganization,native,n0) )).++fof(deduced_136,axiom,+ ( accept_population(countrybhumanitarianorganization,muslim,n1) )).++fof(deduced_137,axiom,+ ( accept_population(countrybhumanitarianorganization,christian,n24) )).++fof(deduced_138,axiom,+ ( accept_population(countrybhumanitarianorganization,atheist,n75) )).++fof(deduced_139,axiom,+ ( accept_city(countrybhumanitarianorganization,towna) )).++fof(deduced_140,axiom,+ ( accept_leader(countrybhumanitarianorganization,sufferterragovernment) )).++fof(deduced_141,axiom,+ ( accept_leader(sufferterragovernment,countryafirstaidorganization) )).++fof(deduced_142,axiom,+ ( accept_population(sufferterragovernment,other,n0) )).++fof(deduced_143,axiom,+ ( accept_population(sufferterragovernment,native,n85) )).++fof(deduced_144,axiom,+ ( accept_population(sufferterragovernment,muslim,n0) )).++fof(deduced_145,axiom,+ ( accept_population(sufferterragovernment,christian,n3) )).++fof(deduced_146,axiom,+ ( accept_population(sufferterragovernment,atheist,n12) )).++fof(deduced_147,axiom,+ ( accept_city(sufferterragovernment,coastvillage) )).++fof(deduced_148,axiom,+ ( accept_leader(sufferterragovernment,christiancountrychumanitarianorganization) )).++fof(deduced_149,axiom,+ ( accept_population(sufferterragovernment,other,n5) )).++fof(deduced_150,axiom,+ ( accept_population(sufferterragovernment,muslim,n65) )).++fof(deduced_151,axiom,+ ( accept_population(sufferterragovernment,christian,n0) )).++fof(deduced_152,axiom,+ ( accept_population(sufferterragovernment,atheist,n30) )).++fof(deduced_153,axiom,+ ( accept_leader(sufferterragovernment,countryahumanitarianorganization) )).++fof(deduced_154,axiom,+ ( accept_city(sufferterragovernment,townc) )).++fof(deduced_155,axiom,+ ( accept_leader(muslimcountrybhumanitarianorganization,countryccivilorganization) )).++fof(deduced_156,axiom,+ ( accept_leader(muslimcountrybhumanitarianorganization,countrybcivilorganization) )).++fof(deduced_157,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,other,n5) )).++fof(deduced_158,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,muslim,n65) )).++fof(deduced_159,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,christian,n0) )).++fof(deduced_160,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,atheist,n30) )).++fof(deduced_161,axiom,+ ( accept_leader(christiansufferterrahumanitarianorganization,countryahumanitarianorganization) )).++fof(deduced_162,axiom,+ ( accept_city(christiansufferterrahumanitarianorganization,townc) )).++fof(deduced_163,axiom,+ ( accept_leader(christiansufferterrahumanitarianorganization,countryacivilorganization) )).++fof(deduced_164,axiom,+ ( accept_number(christiansufferterrahumanitarianorganization,n5) )).++fof(deduced_165,axiom,+ ( accept_number(christiansufferterrahumanitarianorganization,n4) )).++fof(deduced_166,axiom,+ ( accept_number(christiansufferterrahumanitarianorganization,n3) )).++fof(deduced_167,axiom,+ ( accept_number(christiansufferterrahumanitarianorganization,n2) )).++fof(deduced_168,axiom,+ ( accept_number(christiansufferterrahumanitarianorganization,n1) )).++fof(deduced_169,axiom,+ ( accept_number(christiansufferterrahumanitarianorganization,n6) )).++fof(deduced_170,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,other,n1) )).++fof(deduced_171,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,native,n0) )).++fof(deduced_172,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,muslim,n1) )).++fof(deduced_173,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,christian,n20) )).++fof(deduced_174,axiom,+ ( accept_population(christiansufferterrahumanitarianorganization,atheist,n78) )).++fof(deduced_175,axiom,+ ( accept_city(christiansufferterrahumanitarianorganization,cityb) )).++fof(deduced_176,axiom,+ ( accept_leader(christiansufferterrahumanitarianorganization,countrybhumanitarianorganization) )).++fof(deduced_177,axiom,+ ( accept_population(countryccivilorganization,other,n5) )).++fof(deduced_178,axiom,+ ( accept_population(countryccivilorganization,muslim,n65) )).++fof(deduced_179,axiom,+ ( accept_population(countryccivilorganization,christian,n0) )).++fof(deduced_180,axiom,+ ( accept_population(countryccivilorganization,atheist,n30) )).++fof(deduced_181,axiom,+ ( accept_city(countryccivilorganization,townc) )).++fof(deduced_182,axiom,+ ( accept_leader(countryccivilorganization,countryahumanitarianorganization) )).++fof(deduced_183,axiom,+ ( accept_leader(countrycmedicalorganization,muslimcountrybhumanitarianorganization) )).++fof(deduced_184,axiom,+ ( accept_population(countrycmedicalorganization,other,n5) )).++fof(deduced_185,axiom,+ ( accept_population(countrycmedicalorganization,muslim,n65) )).++fof(deduced_186,axiom,+ ( accept_population(countrycmedicalorganization,christian,n0) )).++fof(deduced_187,axiom,+ ( accept_population(countrycmedicalorganization,atheist,n30) )).++fof(deduced_188,axiom,+ ( accept_city(countrycmedicalorganization,townc) )).++fof(deduced_189,axiom,+ ( accept_leader(countrycmedicalorganization,countryahumanitarianorganization) )).++fof(deduced_190,axiom,+ ( accept_population(countrycmedicalorganization,other,n1) )).++fof(deduced_191,axiom,+ ( accept_population(countrycmedicalorganization,christian,n20) )).++fof(deduced_192,axiom,+ ( accept_population(countrycmedicalorganization,atheist,n78) )).++fof(deduced_193,axiom,+ ( accept_city(countrycmedicalorganization,cityb) )).++fof(deduced_194,axiom,+ ( accept_leader(muslimcountrybhumanitarianorganization,countrycmedicalorganization) )).++fof(deduced_195,axiom,+ ( accept_leader(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization) )).++fof(deduced_196,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,other,n5) )).++fof(deduced_197,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,muslim,n65) )).++fof(deduced_198,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,christian,n0) )).++fof(deduced_199,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,atheist,n30) )).++fof(deduced_200,axiom,+ ( accept_city(muslimcountrybhumanitarianorganization,townc) )).++fof(deduced_201,axiom,+ ( accept_leader(muslimcountrybhumanitarianorganization,countryahumanitarianorganization) )).++fof(deduced_202,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,other,n1) )).++fof(deduced_203,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,native,n0) )).++fof(deduced_204,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,muslim,n1) )).++fof(deduced_205,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,christian,n20) )).++fof(deduced_206,axiom,+ ( accept_population(muslimcountrybhumanitarianorganization,atheist,n78) )).++fof(deduced_207,axiom,+ ( accept_leader(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization) )).++fof(deduced_208,axiom,+ ( accept_city(muslimcountrybhumanitarianorganization,cityb) )).++fof(deduced_209,axiom,+ ( accept_leader(countryamedicalorganization,countryacivilorganization) )).++fof(deduced_210,axiom,+ ( accept_population(countryamedicalorganization,other,n1) )).++fof(deduced_211,axiom,+ ( accept_population(countryamedicalorganization,christian,n20) )).++fof(deduced_212,axiom,+ ( accept_population(countryamedicalorganization,atheist,n78) )).++fof(deduced_213,axiom,+ ( accept_city(countryamedicalorganization,cityb) )).++fof(deduced_214,axiom,+ ( accept_leader(countryamedicalorganization,countrybhumanitarianorganization) )).++fof(deduced_215,axiom,+ ( accept_number(countryamedicalorganization,n5) )).++fof(deduced_216,axiom,+ ( accept_number(countryamedicalorganization,n4) )).++fof(deduced_217,axiom,+ ( accept_number(countryamedicalorganization,n3) )).++fof(deduced_218,axiom,+ ( accept_number(countryamedicalorganization,n2) )).++fof(deduced_219,axiom,+ ( accept_number(countryamedicalorganization,n1) )).++fof(deduced_220,axiom,+ ( accept_population(countryamedicalorganization,other,n0) )).++fof(deduced_221,axiom,+ ( accept_population(countryamedicalorganization,native,n0) )).++fof(deduced_222,axiom,+ ( accept_population(countryamedicalorganization,muslim,n1) )).++fof(deduced_223,axiom,+ ( accept_population(countryamedicalorganization,christian,n24) )).++fof(deduced_224,axiom,+ ( accept_population(countryamedicalorganization,atheist,n75) )).++fof(deduced_225,axiom,+ ( accept_number(countryamedicalorganization,n6) )).++fof(deduced_226,axiom,+ ( accept_leader(countryamedicalorganization,sufferterragovernment) )).++fof(deduced_227,axiom,+ ( accept_city(countryamedicalorganization,towna) )).++fof(deduced_228,axiom,+ ( accept_population(countryacivilorganization,other,n1) )).++fof(deduced_229,axiom,+ ( accept_population(countryacivilorganization,christian,n20) )).++fof(deduced_230,axiom,+ ( accept_population(countryacivilorganization,atheist,n78) )).++fof(deduced_231,axiom,+ ( accept_city(countryacivilorganization,cityb) )).++fof(deduced_232,axiom,+ ( accept_leader(countryacivilorganization,countrybhumanitarianorganization) )).++fof(deduced_233,axiom,+ ( accept_leader(countryahumanitarianorganization,countryacivilorganization) )).++fof(deduced_234,axiom,+ ( accept_population(countryahumanitarianorganization,other,n1) )).++fof(deduced_235,axiom,+ ( accept_population(countryahumanitarianorganization,christian,n20) )).++fof(deduced_236,axiom,+ ( accept_population(countryahumanitarianorganization,atheist,n78) )).++fof(deduced_237,axiom,+ ( accept_city(countryahumanitarianorganization,cityb) )).++fof(deduced_238,axiom,+ ( accept_leader(countryahumanitarianorganization,countrybhumanitarianorganization) )).++fof(deduced_239,axiom,+ ( accept_number(countryahumanitarianorganization,n5) )).++fof(deduced_240,axiom,+ ( accept_number(countryahumanitarianorganization,n4) )).++fof(deduced_241,axiom,+ ( accept_number(countryahumanitarianorganization,n3) )).++fof(deduced_242,axiom,+ ( accept_number(countryahumanitarianorganization,n2) )).++fof(deduced_243,axiom,+ ( accept_number(countryahumanitarianorganization,n1) )).++fof(deduced_244,axiom,+ ( accept_population(countryahumanitarianorganization,other,n0) )).++fof(deduced_245,axiom,+ ( accept_population(countryahumanitarianorganization,native,n0) )).++fof(deduced_246,axiom,+ ( accept_population(countryahumanitarianorganization,muslim,n1) )).++fof(deduced_247,axiom,+ ( accept_population(countryahumanitarianorganization,christian,n24) )).++fof(deduced_248,axiom,+ ( accept_population(countryahumanitarianorganization,atheist,n75) )).++fof(deduced_249,axiom,+ ( accept_number(countryahumanitarianorganization,n6) )).++fof(deduced_250,axiom,+ ( accept_leader(countryahumanitarianorganization,sufferterragovernment) )).++fof(deduced_251,axiom,+ ( accept_city(countryahumanitarianorganization,towna) )).++fof(deduced_252,axiom,+ ( accept_leader(sufferterragovernment,countryacivilorganization) )).++fof(deduced_253,axiom,+ ( accept_population(sufferterragovernment,other,n1) )).++fof(deduced_254,axiom,+ ( accept_population(sufferterragovernment,native,n0) )).++fof(deduced_255,axiom,+ ( accept_population(sufferterragovernment,muslim,n1) )).++fof(deduced_256,axiom,+ ( accept_population(sufferterragovernment,christian,n20) )).++fof(deduced_257,axiom,+ ( accept_population(sufferterragovernment,atheist,n78) )).++fof(deduced_258,axiom,+ ( accept_city(sufferterragovernment,cityb) )).++fof(deduced_259,axiom,+ ( accept_leader(sufferterragovernment,countrybhumanitarianorganization) )).++fof(deduced_260,axiom,+ ( accept_population(countryccivilorganization,other,n0) )).++fof(deduced_261,axiom,+ ( accept_population(countryccivilorganization,native,n0) )).++fof(deduced_262,axiom,+ ( accept_population(countryccivilorganization,muslim,n1) )).++fof(deduced_263,axiom,+ ( accept_population(countryccivilorganization,christian,n24) )).++fof(deduced_264,axiom,+ ( accept_population(countryccivilorganization,atheist,n75) )).++fof(deduced_265,axiom,+ ( accept_city(countryccivilorganization,towna) )).++fof(deduced_266,axiom,+ ( accept_leader(countryccivilorganization,sufferterragovernment) )).++fof(deduced_267,axiom,+ ( accept_number(countryafirstaidorganization,n5) )).++fof(deduced_268,axiom,+ ( accept_number(countryafirstaidorganization,n4) )).++fof(deduced_269,axiom,+ ( accept_number(countryafirstaidorganization,n3) )).++fof(deduced_270,axiom,+ ( accept_number(countryafirstaidorganization,n2) )).++fof(deduced_271,axiom,+ ( accept_number(countryafirstaidorganization,n1) )).++fof(deduced_272,axiom,+ ( accept_population(countryafirstaidorganization,other,n0) )).++fof(deduced_273,axiom,+ ( accept_population(countryafirstaidorganization,native,n0) )).++fof(deduced_274,axiom,+ ( accept_population(countryafirstaidorganization,muslim,n1) )).++fof(deduced_275,axiom,+ ( accept_population(countryafirstaidorganization,christian,n24) )).++fof(deduced_276,axiom,+ ( accept_population(countryafirstaidorganization,atheist,n75) )).++fof(deduced_277,axiom,+ ( accept_number(countryafirstaidorganization,n6) )).++fof(deduced_278,axiom,+ ( accept_leader(countryafirstaidorganization,sufferterragovernment) )).++fof(deduced_279,axiom,+ ( accept_city(countryafirstaidorganization,towna) )).++fof(deduced_280,axiom,+ ( accept_leader(countrycmedicalorganization,countryccivilorganization) )).++fof(deduced_281,axiom,+ ( accept_leader(countrycmedicalorganization,countrybcivilorganization) )).++fof(deduced_282,axiom,+ ( accept_leader(countrycmedicalorganization,countrybhumanitarianorganization) )).++fof(deduced_283,axiom,+ ( accept_leader(countrycmedicalorganization,christiancountrychumanitarianorganization) )).++fof(deduced_284,axiom,+ ( accept_population(countrycmedicalorganization,other,n0) )).++fof(deduced_285,axiom,+ ( accept_population(countrycmedicalorganization,native,n0) )).++fof(deduced_286,axiom,+ ( accept_population(countrycmedicalorganization,muslim,n1) )).++fof(deduced_287,axiom,+ ( accept_population(countrycmedicalorganization,christian,n24) )).++fof(deduced_288,axiom,+ ( accept_population(countrycmedicalorganization,atheist,n75) )).++fof(deduced_289,axiom,+ ( accept_city(countrycmedicalorganization,towna) )).++fof(deduced_290,axiom,+ ( accept_leader(countrycmedicalorganization,sufferterragovernment) )).++fof(deduced_291,axiom,+ ( accept_leader(countrybcivilorganization,countryccivilorganization) )).++fof(deduced_292,axiom,+ ( accept_leader(countrybcivilorganization,countrybhumanitarianorganization) )).++fof(deduced_293,axiom,+ ( accept_leader(countrybcivilorganization,christiancountrychumanitarianorganization) )).++fof(deduced_294,axiom,+ ( accept_leader(countrybcivilorganization,countrycmedicalorganization) )).++fof(deduced_295,axiom,+ ( accept_population(countrybcivilorganization,other,n0) )).++fof(deduced_296,axiom,+ ( accept_population(countrybcivilorganization,native,n0) )).++fof(deduced_297,axiom,+ ( accept_population(countrybcivilorganization,muslim,n1) )).++fof(deduced_298,axiom,+ ( accept_population(countrybcivilorganization,christian,n24) )).++fof(deduced_299,axiom,+ ( accept_population(countrybcivilorganization,atheist,n75) )).++fof(deduced_300,axiom,+ ( accept_city(countrybcivilorganization,towna) )).++fof(deduced_301,axiom,+ ( accept_leader(countrybcivilorganization,sufferterragovernment) )).++fof(deduced_302,axiom,+ ( accept_number(sufferterragovernment,n5) )).++fof(deduced_303,axiom,+ ( accept_number(sufferterragovernment,n4) )).++fof(deduced_304,axiom,+ ( accept_number(sufferterragovernment,n3) )).++fof(deduced_305,axiom,+ ( accept_number(sufferterragovernment,n2) )).++fof(deduced_306,axiom,+ ( accept_number(sufferterragovernment,n1) )).++fof(deduced_307,axiom,+ ( accept_number(sufferterragovernment,n6) )).++fof(deduced_308,axiom,+ ( accept_number(countryacivilorganization,n5) )).++fof(deduced_309,axiom,+ ( accept_number(countryacivilorganization,n4) )).++fof(deduced_310,axiom,+ ( accept_number(countryacivilorganization,n3) )).++fof(deduced_311,axiom,+ ( accept_number(countryacivilorganization,n2) )).++fof(deduced_312,axiom,+ ( accept_number(countryacivilorganization,n1) )).++fof(deduced_313,axiom,+ ( accept_population(countryacivilorganization,other,n0) )).++fof(deduced_314,axiom,+ ( accept_population(countryacivilorganization,native,n0) )).++fof(deduced_315,axiom,+ ( accept_population(countryacivilorganization,muslim,n1) )).++fof(deduced_316,axiom,+ ( accept_population(countryacivilorganization,christian,n24) )).++fof(deduced_317,axiom,+ ( accept_population(countryacivilorganization,atheist,n75) )).++fof(deduced_318,axiom,+ ( accept_number(countryacivilorganization,n6) )).++fof(deduced_319,axiom,+ ( accept_leader(countryacivilorganization,sufferterragovernment) )).++fof(deduced_320,axiom,+ ( accept_city(countryacivilorganization,towna) )).++fof(deduced_321,axiom,+ ( accept_number(countryccivilorganization,n3) )).++fof(deduced_322,axiom,+ ( accept_number(countryccivilorganization,n2) )).++fof(deduced_323,axiom,+ ( accept_number(countryccivilorganization,n1) )).++fof(deduced_324,axiom,+ ( accept_number(countryccivilorganization,n4) )).++fof(deduced_325,axiom,+ ( accept_leader(christiancountrychumanitarianorganization,countryccivilorganization) )).++fof(deduced_326,axiom,+ ( accept_number(countrybcivilorganization,n5) )).++fof(deduced_327,axiom,+ ( accept_number(countrybcivilorganization,n4) )).++fof(deduced_328,axiom,+ ( accept_number(countrybcivilorganization,n3) )).++fof(deduced_329,axiom,+ ( accept_number(countrybcivilorganization,n2) )).++fof(deduced_330,axiom,+ ( accept_number(countrybcivilorganization,n1) )).++fof(deduced_331,axiom,+ ( accept_number(countrybcivilorganization,n6) )).++fof(deduced_332,axiom,+ ( accept_leader(christiancountrychumanitarianorganization,countrybcivilorganization) )).++fof(deduced_333,axiom,+ ( accept_number(countrybhumanitarianorganization,n5) )).++fof(deduced_334,axiom,+ ( accept_number(countrybhumanitarianorganization,n4) )).++fof(deduced_335,axiom,+ ( accept_number(countrybhumanitarianorganization,n3) )).++fof(deduced_336,axiom,+ ( accept_number(countrybhumanitarianorganization,n2) )).++fof(deduced_337,axiom,+ ( accept_number(countrybhumanitarianorganization,n1) )).++fof(deduced_338,axiom,+ ( accept_number(countrybhumanitarianorganization,n6) )).++fof(deduced_339,axiom,+ ( accept_leader(christiancountrychumanitarianorganization,countrybhumanitarianorganization) )).++fof(deduced_340,axiom,+ ( accept_leader(christiancountrychumanitarianorganization,countrycmedicalorganization) )).++fof(deduced_341,axiom,+ ( accept_number(christiancountrychumanitarianorganization,n5) )).++fof(deduced_342,axiom,+ ( accept_number(christiancountrychumanitarianorganization,n4) )).++fof(deduced_343,axiom,+ ( accept_number(christiancountrychumanitarianorganization,n3) )).++fof(deduced_344,axiom,+ ( accept_number(christiancountrychumanitarianorganization,n2) )).++fof(deduced_345,axiom,+ ( accept_number(christiancountrychumanitarianorganization,n1) )).++fof(deduced_346,axiom,+ ( accept_number(christiancountrychumanitarianorganization,n6) )).++fof(deduced_347,axiom,+ ( accept_population(christiancountrychumanitarianorganization,other,n0) )).++fof(deduced_348,axiom,+ ( accept_population(christiancountrychumanitarianorganization,native,n0) )).++fof(deduced_349,axiom,+ ( accept_population(christiancountrychumanitarianorganization,muslim,n1) )).++fof(deduced_350,axiom,+ ( accept_population(christiancountrychumanitarianorganization,christian,n24) )).++fof(deduced_351,axiom,+ ( accept_population(christiancountrychumanitarianorganization,atheist,n75) )).++fof(deduced_352,axiom,+ ( accept_city(christiancountrychumanitarianorganization,towna) )).++fof(deduced_353,axiom,+ ( accept_leader(christiancountrychumanitarianorganization,sufferterragovernment) )).++fof(deduced_354,axiom,+ ( accept_number(countrycmedicalorganization,n5) )).++fof(deduced_355,axiom,+ ( accept_number(countrycmedicalorganization,n4) )).++fof(deduced_356,axiom,+ ( accept_number(countrycmedicalorganization,n3) )).++fof(deduced_357,axiom,+ ( accept_number(countrycmedicalorganization,n2) )).++fof(deduced_358,axiom,+ ( accept_number(countrycmedicalorganization,n1) )).++fof(deduced_359,axiom,+ ( accept_number(countrycmedicalorganization,n6) )).++fof(deduced_360,axiom,+ ( accept_number(muslimcountrybhumanitarianorganization,n5) )).++fof(deduced_361,axiom,+ ( accept_number(muslimcountrybhumanitarianorganization,n4) )).++fof(deduced_362,axiom,+ ( accept_number(muslimcountrybhumanitarianorganization,n3) )).++fof(deduced_363,axiom,+ ( accept_number(muslimcountrybhumanitarianorganization,n2) )).++fof(deduced_364,axiom,+ ( accept_number(muslimcountrybhumanitarianorganization,n1) )).++fof(deduced_365,axiom,+ ( accept_number(muslimcountrybhumanitarianorganization,n6) )).++fof(deduced_366,axiom,+ ( ~ accept_city(muslimcountrybhumanitarianorganization,towna) )).++fof(deduced_367,axiom,+ ( accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/ALG002+0.ax view
@@ -0,0 +1,39 @@+%------------------------------------------------------------------------------+% File : ALG002+0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Algebra (Median)+% Axioms : Median algebra axioms+% Version : [VM05] axioms.+% English :++% Refs : [VMURL] Veroff & McCune (URL), First-order Proof of a Median A+% Source : [VMURL]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 4 ( 4 unit)+% Number of atoms : 4 ( 4 equality)+% Maximal formula depth : 5 ( 4 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 1 ( 0 constant; 3-3 arity)+% Number of variables : 12 ( 0 singleton; 12 !; 0 ?)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+fof(majority,axiom,(+ ! [X,Y] : f(X,X,Y) = X )).++fof(permute1,axiom,(+ ! [X,Y,Z] : f(X,Y,Z) = f(Z,X,Y) )).++fof(permute2,axiom,(+ ! [X,Y,Z] : f(X,Y,Z) = f(X,Z,Y) )).++fof(associativity,axiom,(+ ! [W,X,Y,Z] : f(f(X,W,Y),W,Z) = f(X,W,f(Y,W,Z)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/COM001+0.ax view
@@ -0,0 +1,486 @@+%------------------------------------------------------------------------------+% File : COM001+0 : TPTP v7.2.0. Released v6.4.0.+% Domain : Computing Theory+% Axioms : Common axioms for progress/preservation proof+% Version : [Gre15] axioms : Especial.+% English :++% Refs : [Pie02] Pierce (2002), Programming Languages+% : [Gre15] Grewe (2015), Email to Geoff Sutcliffe+% : [GE+15] Grewe et al. (2015), Type Systems for the Masses: Deri+% Source : [Gre15]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 54 ( 6 unit)+% Number of atoms : 285 ( 227 equality)+% Maximal formula depth : 23 ( 9 average)+% Number of connectives : 267 ( 36 ~; 17 |; 120 &)+% ( 0 <=>; 94 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 7 ( 1 propositional; 0-3 arity)+% Number of functors : 16 ( 3 constant; 0-3 arity)+% Number of variables : 307 ( 0 sgn; 239 !; 68 ?)+% Maximal term depth : 5 ( 1 average)+% SPC :++% Comments : +%------------------------------------------------------------------------------+fof('EQ-var',axiom,(+ ! [VVar0,VVar1] :+ ( ( vvar(VVar0) = vvar(VVar1)+ => VVar0 = VVar1 )+ & ( VVar0 = VVar1+ => vvar(VVar0) = vvar(VVar1) ) ) )).++fof('EQ-abs',axiom,(+ ! [VVar0,VTyp0,VExp0,VVar1,VTyp1,VExp1] :+ ( ( vabs(VVar0,VTyp0,VExp0) = vabs(VVar1,VTyp1,VExp1)+ => ( VVar0 = VVar1+ & VTyp0 = VTyp1+ & VExp0 = VExp1 ) )+ & ( ( VVar0 = VVar1+ & VTyp0 = VTyp1+ & VExp0 = VExp1 )+ => vabs(VVar0,VTyp0,VExp0) = vabs(VVar1,VTyp1,VExp1) ) ) )).++fof('EQ-app',axiom,(+ ! [VExp0,VExp1,VExp2,VExp3] :+ ( ( vapp(VExp0,VExp1) = vapp(VExp2,VExp3)+ => ( VExp0 = VExp2+ & VExp1 = VExp3 ) )+ & ( ( VExp0 = VExp2+ & VExp1 = VExp3 )+ => vapp(VExp0,VExp1) = vapp(VExp2,VExp3) ) ) )).++fof('DIFF-var-abs',axiom,(+ ! [VVar0,VVar1,VTyp0,VExp0] : vvar(VVar0) != vabs(VVar1,VTyp0,VExp0) )).++fof('DIFF-var-app',axiom,(+ ! [VVar0,VExp0,VExp1] : vvar(VVar0) != vapp(VExp0,VExp1) )).++fof('DIFF-abs-app',axiom,(+ ! [VVar0,VTyp0,VExp0,VExp1,VExp2] : vabs(VVar0,VTyp0,VExp0) != vapp(VExp1,VExp2) )).++fof(isValue0,axiom,(+ ! [Vx,VS,Ve,VExp0] :+ ( VExp0 = vabs(Vx,VS,Ve)+ => visValue(VExp0) ) )).++fof(isValue1,axiom,(+ ! [Vx,VExp0] :+ ( VExp0 = vvar(Vx)+ => ~ visValue(VExp0) ) )).++fof(isValue2,axiom,(+ ! [Ve1,Ve2,VExp0] :+ ( VExp0 = vapp(Ve1,Ve2)+ => ~ visValue(VExp0) ) )).++fof(isFreeVar0,axiom,(+ ! [VVar0,VExp0,Vx,Vv] :+ ( ( VVar0 = Vv+ & VExp0 = vvar(Vx) )+ => ( ( Vx = Vv+ => visFreeVar(VVar0,VExp0) )+ & ( visFreeVar(VVar0,VExp0)+ => Vx = Vv ) ) ) )).++fof(isFreeVar1,axiom,(+ ! [VT,VVar0,VExp0,Vx,Vv,Ve] :+ ( ( VVar0 = Vv+ & VExp0 = vabs(Vx,VT,Ve) )+ => ( ( ( Vx != Vv+ & visFreeVar(Vv,Ve) )+ => visFreeVar(VVar0,VExp0) )+ & ( visFreeVar(VVar0,VExp0)+ => ( Vx != Vv+ & visFreeVar(Vv,Ve) ) ) ) ) )).++fof(isFreeVar2,axiom,(+ ! [VVar0,VExp0,Ve1,Vv,Ve2] :+ ( ( VVar0 = Vv+ & VExp0 = vapp(Ve1,Ve2) )+ => ( ( ( visFreeVar(Vv,Ve1)+ | visFreeVar(Vv,Ve2) )+ => visFreeVar(VVar0,VExp0) )+ & ( visFreeVar(VVar0,VExp0)+ => ( visFreeVar(Vv,Ve1)+ | visFreeVar(Vv,Ve2) ) ) ) ) )).++fof('EQ-empty',axiom,+ ( ( vempty = vempty+ => $true )+ & ( $true+ => vempty = vempty ) )).++fof('EQ-bind',axiom,(+ ! [VVar0,VTyp0,VCtx0,VVar1,VTyp1,VCtx1] :+ ( ( vbind(VVar0,VTyp0,VCtx0) = vbind(VVar1,VTyp1,VCtx1)+ => ( VVar0 = VVar1+ & VTyp0 = VTyp1+ & VCtx0 = VCtx1 ) )+ & ( ( VVar0 = VVar1+ & VTyp0 = VTyp1+ & VCtx0 = VCtx1 )+ => vbind(VVar0,VTyp0,VCtx0) = vbind(VVar1,VTyp1,VCtx1) ) ) )).++fof('EQ-noType',axiom,+ ( ( vnoType = vnoType+ => $true )+ & ( $true+ => vnoType = vnoType ) )).++fof('EQ-someType',axiom,(+ ! [VTyp0,VTyp1] :+ ( ( vsomeType(VTyp0) = vsomeType(VTyp1)+ => VTyp0 = VTyp1 )+ & ( VTyp0 = VTyp1+ => vsomeType(VTyp0) = vsomeType(VTyp1) ) ) )).++fof('DIFF-empty-bind',axiom,(+ ! [VVar0,VTyp0,VCtx0] : vempty != vbind(VVar0,VTyp0,VCtx0) )).++fof('DIFF-noType-someType',axiom,(+ ! [VTyp0] : vnoType != vsomeType(VTyp0) )).++fof(isSomeType0,axiom,(+ ! [VOptTyp0] :+ ( VOptTyp0 = vnoType+ => ~ visSomeType(VOptTyp0) ) )).++fof(isSomeType1,axiom,(+ ! [Ve,VOptTyp0] :+ ( VOptTyp0 = vsomeType(Ve)+ => visSomeType(VOptTyp0) ) )).++fof(getSomeType0,axiom,(+ ! [VOptTyp0,RESULT,Ve] :+ ( VOptTyp0 = vsomeType(Ve)+ => ( RESULT = vgetSomeType(VOptTyp0)+ => RESULT = Ve ) ) )).++fof(lookup0,axiom,(+ ! [Vx,VVar0,VCtx0,RESULT] :+ ( ( VVar0 = Vx+ & VCtx0 = vempty )+ => ( RESULT = vlookup(VVar0,VCtx0)+ => RESULT = vnoType ) ) )).++fof(lookup1,axiom,(+ ! [VC,Vx,Vy,VVar0,VCtx0,RESULT,VTy] :+ ( ( VVar0 = Vx+ & VCtx0 = vbind(Vy,VTy,VC) )+ => ( Vx = Vy+ => ( RESULT = vlookup(VVar0,VCtx0)+ => RESULT = vsomeType(VTy) ) ) ) )).++fof(lookup2,axiom,(+ ! [VTy,Vy,VVar0,VCtx0,RESULT,Vx,VC] :+ ( ( VVar0 = Vx+ & VCtx0 = vbind(Vy,VTy,VC) )+ => ( Vx != Vy+ => ( RESULT = vlookup(VVar0,VCtx0)+ => RESULT = vlookup(Vx,VC) ) ) ) )).++fof('lookup-INV',axiom,(+ ! [VVar0,VCtx0,RESULT] :+ ( vlookup(VVar0,VCtx0) = RESULT+ => ( ? [Vx] :+ ( VVar0 = Vx+ & VCtx0 = vempty+ & RESULT = vnoType )+ | ? [VC,Vx,Vy,VTy] :+ ( VVar0 = Vx+ & VCtx0 = vbind(Vy,VTy,VC)+ & Vx = Vy+ & RESULT = vsomeType(VTy) )+ | ? [VTy,Vy,Vx,VC] :+ ( VVar0 = Vx+ & VCtx0 = vbind(Vy,VTy,VC)+ & Vx != Vy+ & RESULT = vlookup(Vx,VC) ) ) ) )).++fof('T-Context-Duplicate',axiom,(+ ! [Vy,VTy,Vx,VTx,VC,Ve,VT] :+ ( ( Vx = Vy+ & vtcheck(vbind(Vx,VTx,vbind(Vy,VTy,VC)),Ve,VT) )+ => vtcheck(vbind(Vx,VTx,VC),Ve,VT) ) )).++fof('T-Context-Swap',axiom,(+ ! [Vy,VTy,Vx,VTx,VC,Ve,VT] :+ ( ( Vx != Vy+ & vtcheck(vbind(Vx,VTx,vbind(Vy,VTy,VC)),Ve,VT) )+ => vtcheck(vbind(Vy,VTy,vbind(Vx,VTx,VC)),Ve,VT) ) )).++fof('gensym-is-fresh',axiom,(+ ! [Vv,Ve] :+ ( vgensym(Ve) = Vv+ => ~ visFreeVar(Vv,Ve) ) )).++fof(subst0,axiom,(+ ! [Vx,Vy,VVar0,VExp0,VExp1,RESULT,Ve] :+ ( ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vvar(Vy) )+ => ( Vx = Vy+ => ( RESULT = vsubst(VVar0,VExp0,VExp1)+ => RESULT = Ve ) ) ) )).++fof(subst1,axiom,(+ ! [Ve,Vx,VVar0,VExp0,VExp1,RESULT,Vy] :+ ( ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vvar(Vy) )+ => ( Vx != Vy+ => ( RESULT = vsubst(VVar0,VExp0,VExp1)+ => RESULT = vvar(Vy) ) ) ) )).++fof(subst2,axiom,(+ ! [VVar0,VExp0,VExp1,RESULT,Ve1,Vx,Ve,Ve2] :+ ( ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vapp(Ve1,Ve2) )+ => ( RESULT = vsubst(VVar0,VExp0,VExp1)+ => RESULT = vapp(vsubst(Vx,Ve,Ve1),vsubst(Vx,Ve,Ve2)) ) ) )).++fof(subst3,axiom,(+ ! [Ve,Vx,VVar0,VExp0,VExp1,RESULT,Vy,VT,Ve1] :+ ( ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vabs(Vy,VT,Ve1) )+ => ( Vx = Vy+ => ( RESULT = vsubst(VVar0,VExp0,VExp1)+ => RESULT = vabs(Vy,VT,Ve1) ) ) ) )).++fof(subst4,axiom,(+ ! [VVar0,VExp0,VExp1,RESULT,Vx,Ve,VT,Vy,Vfresh,Ve1] :+ ( ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vabs(Vy,VT,Ve1) )+ => ( ( Vx != Vy+ & visFreeVar(Vy,Ve)+ & Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx))) )+ => ( RESULT = vsubst(VVar0,VExp0,VExp1)+ => RESULT = vsubst(Vx,Ve,vabs(Vfresh,VT,vsubst(Vy,vvar(Vfresh),Ve1))) ) ) ) )).++fof(subst5,axiom,(+ ! [VVar0,VExp0,VExp1,RESULT,Vy,VT,Vx,Ve,Ve1] :+ ( ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vabs(Vy,VT,Ve1) )+ => ( ( Vx != Vy+ & ~ visFreeVar(Vy,Ve) )+ => ( RESULT = vsubst(VVar0,VExp0,VExp1)+ => RESULT = vabs(Vy,VT,vsubst(Vx,Ve,Ve1)) ) ) ) )).++fof('subst-INV',axiom,(+ ! [VVar0,VExp0,VExp1,RESULT] :+ ( vsubst(VVar0,VExp0,VExp1) = RESULT+ => ( ? [Vx,Vy,Ve] :+ ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vvar(Vy)+ & Vx = Vy+ & RESULT = Ve )+ | ? [Ve,Vx,Vy] :+ ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vvar(Vy)+ & Vx != Vy+ & RESULT = vvar(Vy) )+ | ? [Ve1,Vx,Ve,Ve2] :+ ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vapp(Ve1,Ve2)+ & RESULT = vapp(vsubst(Vx,Ve,Ve1),vsubst(Vx,Ve,Ve2)) )+ | ? [Ve,Vx,Vy,VT,Ve1] :+ ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vabs(Vy,VT,Ve1)+ & Vx = Vy+ & RESULT = vabs(Vy,VT,Ve1) )+ | ? [Vx,Ve,VT,Vy,Vfresh,Ve1] :+ ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vabs(Vy,VT,Ve1)+ & Vx != Vy+ & visFreeVar(Vy,Ve)+ & Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))+ & RESULT = vsubst(Vx,Ve,vabs(Vfresh,VT,vsubst(Vy,vvar(Vfresh),Ve1))) )+ | ? [Vy,VT,Vx,Ve,Ve1] :+ ( VVar0 = Vx+ & VExp0 = Ve+ & VExp1 = vabs(Vy,VT,Ve1)+ & Vx != Vy+ & ~ visFreeVar(Vy,Ve)+ & RESULT = vabs(Vy,VT,vsubst(Vx,Ve,Ve1)) ) ) ) )).++fof('EQ-noExp',axiom,+ ( ( vnoExp = vnoExp+ => $true )+ & ( $true+ => vnoExp = vnoExp ) )).++fof('EQ-someExp',axiom,(+ ! [VExp0,VExp1] :+ ( ( vsomeExp(VExp0) = vsomeExp(VExp1)+ => VExp0 = VExp1 )+ & ( VExp0 = VExp1+ => vsomeExp(VExp0) = vsomeExp(VExp1) ) ) )).++fof('DIFF-noExp-someExp',axiom,(+ ! [VExp0] : vnoExp != vsomeExp(VExp0) )).++fof(isSomeExp0,axiom,(+ ! [VOptExp0] :+ ( VOptExp0 = vnoExp+ => ~ visSomeExp(VOptExp0) ) )).++fof(isSomeExp1,axiom,(+ ! [Ve,VOptExp0] :+ ( VOptExp0 = vsomeExp(Ve)+ => visSomeExp(VOptExp0) ) )).++fof(getSomeExp0,axiom,(+ ! [VOptExp0,RESULT,Ve] :+ ( VOptExp0 = vsomeExp(Ve)+ => ( RESULT = vgetSomeExp(VOptExp0)+ => RESULT = Ve ) ) )).++fof(reduce0,axiom,(+ ! [Vx,VExp0,RESULT] :+ ( VExp0 = vvar(Vx)+ => ( RESULT = vreduce(VExp0)+ => RESULT = vnoExp ) ) )).++fof(reduce1,axiom,(+ ! [Vx,VS,Ve,VExp0,RESULT] :+ ( VExp0 = vabs(Vx,VS,Ve)+ => ( RESULT = vreduce(VExp0)+ => RESULT = vnoExp ) ) )).++fof(reduce2,axiom,(+ ! [Ve2,VExp0,RESULT,Vx,VS,Ve1,Ve2red] :+ ( VExp0 = vapp(vabs(Vx,VS,Ve1),Ve2)+ => ( ( Ve2red = vreduce(Ve2)+ & visSomeExp(Ve2red) )+ => ( RESULT = vreduce(VExp0)+ => RESULT = vsomeExp(vapp(vabs(Vx,VS,Ve1),vgetSomeExp(Ve2red))) ) ) ) )).++fof(reduce3,axiom,(+ ! [VS,Ve2red,VExp0,RESULT,Vx,Ve2,Ve1] :+ ( VExp0 = vapp(vabs(Vx,VS,Ve1),Ve2)+ => ( ( Ve2red = vreduce(Ve2)+ & ~ visSomeExp(Ve2red)+ & visValue(Ve2) )+ => ( RESULT = vreduce(VExp0)+ => RESULT = vsomeExp(vsubst(Vx,Ve2,Ve1)) ) ) ) )).++fof(reduce4,axiom,(+ ! [Vx,VS,Ve1,Ve2red,Ve2,VExp0,RESULT] :+ ( VExp0 = vapp(vabs(Vx,VS,Ve1),Ve2)+ => ( ( Ve2red = vreduce(Ve2)+ & ~ visSomeExp(Ve2red)+ & ~ visValue(Ve2) )+ => ( RESULT = vreduce(VExp0)+ => RESULT = vnoExp ) ) ) )).++fof(reduce5,axiom,(+ ! [Ve1,VExp0,RESULT,Ve1red,Ve2] :+ ( ( VExp0 = vapp(Ve1,Ve2)+ & ! [VVx0,VVS0,VVe10] : Ve1 != vabs(VVx0,VVS0,VVe10) )+ => ( ( Ve1red = vreduce(Ve1)+ & visSomeExp(Ve1red) )+ => ( RESULT = vreduce(VExp0)+ => RESULT = vsomeExp(vapp(vgetSomeExp(Ve1red),Ve2)) ) ) ) )).++fof(reduce6,axiom,(+ ! [Ve2,Ve1,Ve1red,VExp0,RESULT] :+ ( ( VExp0 = vapp(Ve1,Ve2)+ & ! [VVx0,VVS0,VVe10] : Ve1 != vabs(VVx0,VVS0,VVe10) )+ => ( ( Ve1red = vreduce(Ve1)+ & ~ visSomeExp(Ve1red) )+ => ( RESULT = vreduce(VExp0)+ => RESULT = vnoExp ) ) ) )).++fof('reduce-INV',axiom,(+ ! [VExp0,RESULT] :+ ( vreduce(VExp0) = RESULT+ => ( ? [Vx] :+ ( VExp0 = vvar(Vx)+ & RESULT = vnoExp )+ | ? [Vx,VS,Ve] :+ ( VExp0 = vabs(Vx,VS,Ve)+ & RESULT = vnoExp )+ | ? [Ve2,Vx,VS,Ve1,Ve2red] :+ ( VExp0 = vapp(vabs(Vx,VS,Ve1),Ve2)+ & Ve2red = vreduce(Ve2)+ & visSomeExp(Ve2red)+ & RESULT = vsomeExp(vapp(vabs(Vx,VS,Ve1),vgetSomeExp(Ve2red))) )+ | ? [VS,Ve2red,Vx,Ve2,Ve1] :+ ( VExp0 = vapp(vabs(Vx,VS,Ve1),Ve2)+ & Ve2red = vreduce(Ve2)+ & ~ visSomeExp(Ve2red)+ & visValue(Ve2)+ & RESULT = vsomeExp(vsubst(Vx,Ve2,Ve1)) )+ | ? [Vx,VS,Ve1,Ve2red,Ve2] :+ ( VExp0 = vapp(vabs(Vx,VS,Ve1),Ve2)+ & Ve2red = vreduce(Ve2)+ & ~ visSomeExp(Ve2red)+ & ~ visValue(Ve2)+ & RESULT = vnoExp )+ | ? [Ve1,Ve1red,Ve2] :+ ( VExp0 = vapp(Ve1,Ve2)+ & ! [VVx0,VVS0,VVe10] : Ve1 != vabs(VVx0,VVS0,VVe10)+ & Ve1red = vreduce(Ve1)+ & visSomeExp(Ve1red)+ & RESULT = vsomeExp(vapp(vgetSomeExp(Ve1red),Ve2)) )+ | ? [Ve2,Ve1,Ve1red] :+ ( VExp0 = vapp(Ve1,Ve2)+ & ! [VVx0,VVS0,VVe10] : Ve1 != vabs(VVx0,VVS0,VVe10)+ & Ve1red = vreduce(Ve1)+ & ~ visSomeExp(Ve1red)+ & RESULT = vnoExp ) ) ) )).++fof('EQ-arrow',axiom,(+ ! [VTyp0,VTyp1,VTyp2,VTyp3] :+ ( ( varrow(VTyp0,VTyp1) = varrow(VTyp2,VTyp3)+ => ( VTyp0 = VTyp2+ & VTyp1 = VTyp3 ) )+ & ( ( VTyp0 = VTyp2+ & VTyp1 = VTyp3 )+ => varrow(VTyp0,VTyp1) = varrow(VTyp2,VTyp3) ) ) )).++fof('T-var',axiom,(+ ! [VC,Vx,VT] :+ ( vlookup(Vx,VC) = vsomeType(VT)+ => vtcheck(VC,vvar(Vx),VT) ) )).++fof('T-abs',axiom,(+ ! [VC,Vx,Ve,VS,VT] :+ ( vtcheck(vbind(Vx,VS,VC),Ve,VT)+ => vtcheck(VC,vabs(Vx,VS,Ve),varrow(VS,VT)) ) )).++fof('T-app',axiom,(+ ! [VS,VC,Ve1,Ve2,VT] :+ ( ( vtcheck(VC,Ve1,varrow(VS,VT))+ & vtcheck(VC,Ve2,VS) )+ => vtcheck(VC,vapp(Ve1,Ve2),VT) ) )).++fof('T-inv',axiom,(+ ! [Ve,VT,VC] :+ ( vtcheck(VC,Ve,VT)+ => ( ? [Vx] :+ ( Ve = vvar(Vx)+ & vlookup(Vx,VC) = vsomeType(VT) )+ | ? [Vx,Ve2,VT1,VT2] :+ ( Ve = vabs(Vx,VT1,Ve2)+ & VT = varrow(VT1,VT2)+ & vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) )+ | ? [Ve1,Ve2,VS] :+ ( Ve = vapp(Ve1,Ve2)+ & vtcheck(VC,Ve1,varrow(VS,VT))+ & vtcheck(VC,Ve2,VS) ) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/COM001+1.ax view
@@ -0,0 +1,60 @@+%------------------------------------------------------------------------------+% File : COM001+1 : TPTP v7.2.0. Released v6.4.0.+% Domain : Computing Theory+% Axioms : Common axioms for progress/preservation proof+% Version : [Gre15] axioms : Especial.+% English :++% Refs : [Pie02] Pierce (2002), Programming Languages+% : [Gre15] Grewe (2015), Email to Geoff Sutcliffe+% : [GE+15] Grewe et al. (2015), Type Systems for the Masses: Deri+% Source : [Gre15]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 6 ( 1 unit)+% Number of atoms : 14 ( 0 equality)+% Maximal formula depth : 7 ( 6 average)+% Number of connectives : 11 ( 3 ~; 0 |; 3 &)+% ( 0 <=>; 5 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 3 ( 0 propositional; 2-3 arity)+% Number of functors : 3 ( 0 constant; 1-3 arity)+% Number of variables : 17 ( 0 sgn; 17 !; 0 ?)+% Maximal term depth : 4 ( 1 average)+% SPC :++% Comments : Requires COM001+0.ax+%------------------------------------------------------------------------------+fof('alpha-equiv-refl',axiom,(+ ! [Ve] : valphaEquivalent(Ve,Ve) )).++fof('alpha-equiv-sym',axiom,(+ ! [Ve2,Ve1] :+ ( valphaEquivalent(Ve1,Ve2)+ => valphaEquivalent(Ve2,Ve1) ) )).++fof('alpha-equiv-trans',axiom,(+ ! [Ve2,Ve1,Ve3] :+ ( ( valphaEquivalent(Ve1,Ve2)+ & valphaEquivalent(Ve2,Ve3) )+ => valphaEquivalent(Ve1,Ve3) ) )).++fof('alpha-equiv-subst-abs',axiom,(+ ! [VS,Vx,Vy,Ve] :+ ( ~ visFreeVar(Vy,Ve)+ => valphaEquivalent(vabs(Vx,VS,Ve),vabs(Vy,VS,vsubst(Vx,vvar(Vy),Ve))) ) )).++fof('alpha-equiv-typing',axiom,(+ ! [Ve,VC,Ve1,VT] :+ ( ( vtcheck(VC,Ve,VT)+ & valphaEquivalent(Ve,Ve1) )+ => vtcheck(VC,Ve1,VT) ) )).++fof('alpha-equiv-FreeVar',axiom,(+ ! [Ve,Vx,Ve1] :+ ( ( ~ visFreeVar(Vx,Ve)+ & valphaEquivalent(Ve,Ve1) )+ => ~ visFreeVar(Vx,Ve1) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/CSR001+0.ax view
@@ -0,0 +1,136 @@+%------------------------------------------------------------------------------+% File : CSR001+0 : TPTP v7.2.0. Released v3.1.0.+% Domain : Commonsense Reasoning+% Axioms : Standard discrete event calculus axioms+% Version : [Mue04] axioms : Especial.+% English :++% Refs : [Mue04] Mueller (2004), A Tool for Satisfiability-based Common+% : [MS02] Miller & Shanahan (2002), Some Alternative Formulation+% Source : [Mue04]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 12 ( 0 unit)+% Number of atoms : 54 ( 0 equality)+% Maximal formula depth : 12 ( 9 average)+% Number of connectives : 56 ( 14 ~ ; 2 |; 28 &)+% ( 2 <=>; 10 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 11 ( 0 propositional; 2-4 arity)+% Number of functors : 3 ( 2 constant; 0-2 arity)+% Number of variables : 44 ( 0 singleton; 36 !; 8 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----DEC1+fof(stoppedin_defn,axiom,+ ( ! [Time1,Fluent,Time2] :+ ( stoppedIn(Time1,Fluent,Time2)+ <=> ? [Event,Time] :+ ( happens(Event,Time)+ & less(Time1,Time)+ & less(Time,Time2)+ & terminates(Event,Fluent,Time) ) ) )).++%----DEC2+fof(startedin_defn,axiom,+ ( ! [Time1,Time2,Fluent] :+ ( startedIn(Time1,Fluent,Time2)+ <=> ? [Event,Time] :+ ( happens(Event,Time)+ & less(Time1,Time)+ & less(Time,Time2)+ & initiates(Event,Fluent,Time) ) ) )).++%----DEC3+fof(change_holding,axiom,+ ( ! [Event,Time,Fluent,Fluent2,Offset] :+ ( ( happens(Event,Time)+ & initiates(Event,Fluent,Time)+ & less(n0,Offset)+ & trajectory(Fluent,Time,Fluent2,Offset)+ & ~ stoppedIn(Time,Fluent,plus(Time,Offset)) )+ => holdsAt(Fluent2,plus(Time,Offset)) ) )).++%----DEC4+fof(antitrajectory,axiom,+ ( ! [Event,Time1,Fluent1,Time2,Fluent2] :+ ( ( happens(Event,Time1)+ & terminates(Event,Fluent1,Time1)+ & less(n0,Time2)+ & antitrajectory(Fluent1,Time1,Fluent2,Time2)+ & ~ startedIn(Time1,Fluent1,plus(Time1,Time2)) )+ => holdsAt(Fluent2,plus(Time1,Time2)) ) )).++%----DEC5+fof(keep_holding,axiom,+ ( ! [Fluent,Time] :+ ( ( holdsAt(Fluent,Time)+ & ~ releasedAt(Fluent,plus(Time,n1))+ & ~ ( ? [Event] :+ ( happens(Event,Time)+ & terminates(Event,Fluent,Time) ) ) )+ => holdsAt(Fluent,plus(Time,n1)) ) )).++%----DEC6+fof(keep_not_holding,axiom,+ ( ! [Fluent,Time] :+ ( ( ~ holdsAt(Fluent,Time)+ & ~ releasedAt(Fluent,plus(Time,n1))+ & ~ ( ? [Event] :+ ( happens(Event,Time)+ & initiates(Event,Fluent,Time) ) ) )+ => ~ holdsAt(Fluent,plus(Time,n1)) ) )).++%----DEC7+fof(keep_released,axiom,+ ( ! [Fluent,Time] :+ ( ( releasedAt(Fluent,Time)+ & ~ ( ? [Event] :+ ( happens(Event,Time)+ & ( initiates(Event,Fluent,Time)+ | terminates(Event,Fluent,Time) ) ) ) )+ => releasedAt(Fluent,plus(Time,n1)) ) )).++%----DEC8+fof(keep_not_released,axiom,+ ( ! [Fluent,Time] :+ ( ( ~ releasedAt(Fluent,Time)+ & ~ ( ? [Event] :+ ( happens(Event,Time)+ & releases(Event,Fluent,Time) ) ) )+ => ~ releasedAt(Fluent,plus(Time,n1)) ) )).++%----DEC9+fof(happens_holds,axiom,+ ( ! [Event,Time,Fluent] :+ ( ( happens(Event,Time)+ & initiates(Event,Fluent,Time) )+ => holdsAt(Fluent,plus(Time,n1)) ) )).++%----DEC10+fof(happens_terminates_not_holds,axiom,+ ( ! [Event,Time,Fluent] :+ ( ( happens(Event,Time)+ & terminates(Event,Fluent,Time) )+ => ~ holdsAt(Fluent,plus(Time,n1)) ) )).++%----DEC11+fof(happens_releases,axiom,+ ( ! [Event,Time,Fluent] :+ ( ( happens(Event,Time)+ & releases(Event,Fluent,Time) )+ => releasedAt(Fluent,plus(Time,n1)) ) )).++%----DEC12+fof(happens_not_released,axiom,+ ( ! [Event,Time,Fluent] :+ ( ( happens(Event,Time)+ & ( initiates(Event,Fluent,Time)+ | terminates(Event,Fluent,Time) ) )+ => ~ releasedAt(Fluent,plus(Time,n1)) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/CSR001+1.ax view
@@ -0,0 +1,105 @@+%------------------------------------------------------------------------------+% File : CSR001+1 : TPTP v7.2.0. Released v3.1.0.+% Domain : Commonsense Reasoning+% Axioms : Kitchen sink scenario+% Version : [Sha97] axioms : Especial.+% English :++% Refs : [Sha97] Shanahan (1997), Solving the Frame Problem+% Source : [Sha97]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 13 ( 6 unit)+% Number of atoms : 39 ( 27 equality)+% Maximal formula depth : 11 ( 5 average)+% Number of connectives : 32 ( 6 ~ ; 5 |; 14 &)+% ( 5 <=>; 2 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 7 ( 0 propositional; 2-4 arity)+% Number of functors : 9 ( 7 constant; 0-2 arity)+% Number of variables : 25 ( 0 singleton; 22 !; 3 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires CSR001+0.ax+%------------------------------------------------------------------------------+fof(initiates_all_defn,axiom,+ ( ! [Event,Fluent,Time] :+ ( initiates(Event,Fluent,Time)+ <=> ( ( Event = tapOn+ & Fluent = filling )+ | ( Event = overflow+ & Fluent = spilling )+ | ? [Height] :+ ( holdsAt(waterLevel(Height),Time)+ & Event = tapOff+ & Fluent = waterLevel(Height) )+ | ? [Height] :+ ( holdsAt(waterLevel(Height),Time)+ & Event = overflow+ & Fluent = waterLevel(Height) ) ) ) )).++fof(terminates_all_defn,axiom,+ ( ! [Event,Fluent,Time] :+ ( terminates(Event,Fluent,Time)+ <=> ( ( Event = tapOff+ & Fluent = filling )+ | ( Event = overflow+ & Fluent = filling ) ) ) )).++%----tapOn event releases all waterLevels at all times+fof(releases_all_defn,axiom,+ ( ! [Event,Fluent,Time] :+ ( releases(Event,Fluent,Time)+ <=> ? [Height] :+ ( Event = tapOn+ & Fluent = waterLevel(Height) ) ) )).++fof(happens_all_defn,axiom,+ ( ! [Event,Time] :+ ( happens(Event,Time)+ <=> ( ( Event = tapOn+ & Time = n0 )+ | ( holdsAt(waterLevel(n3),Time)+ & holdsAt(filling,Time)+ & Event = overflow ) ) ) )).++fof(change_of_waterLevel,axiom,+ ( ! [Height1,Time,Height2,Offset] :+ ( ( holdsAt(waterLevel(Height1),Time)+ & Height2 = plus(Height1,Offset) )+ => trajectory(filling,Time,waterLevel(Height2),Offset) ) )).++fof(same_waterLevel,axiom,+ ( ! [Time,Height1,Height2] :+ ( ( holdsAt(waterLevel(Height1),Time)+ & holdsAt(waterLevel(Height2),Time) )+ => Height1 = Height2 ) )).++%----Distinct events+fof(tapOff_not_tapOn,axiom,+ ( tapOff != tapOn )).++fof(tapOff_not_overflow,axiom,+ ( tapOff != overflow )).++fof(overflow_not_tapOn,axiom,+ ( overflow != tapOn )).++%----Distinct fluents+fof(filling_not_waterLevel,axiom,+ ( ! [X] : filling != waterLevel(X) )).++fof(spilling_not_waterLevel,axiom,+ ( ! [X] : spilling != waterLevel(X) )).++fof(filling_not_spilling,axiom,+ ( filling != spilling )).++fof(distinct_waterLevels,axiom,+ ( ! [X,Y] :+ ( waterLevel(X) = waterLevel(Y)+ <=> X = Y ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/CSR001+2.ax view
@@ -0,0 +1,91 @@+%------------------------------------------------------------------------------+% File : CSR001+2 : TPTP v7.2.0. Released v3.1.0.+% Domain : Commonsense Reasoning+% Axioms : Supermarket trolley scenario+% Version : [Sha97] axioms : Especial.+% English :++% Refs : [Sha97] Shanahan (1997), Solving the Frame Problem+% Source : [Sha97]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 8 ( 5 unit)+% Number of atoms : 43 ( 30 equality)+% Maximal formula depth : 13 ( 6 average)+% Number of connectives : 46 ( 11 ~ ; 10 |; 22 &)+% ( 3 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 5 ( 0 propositional; 2-3 arity)+% Number of functors : 8 ( 8 constant; 0-0 arity)+% Number of variables : 11 ( 0 singleton; 11 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires CSR001+0.ax+%------------------------------------------------------------------------------+fof(initiates_all_defn,axiom,+ ( ! [Event,Fluent,Time] :+ ( initiates(Event,Fluent,Time)+ <=> ( ( Event = push+ & Fluent = forwards+ & ~ happens(pull,Time) )+ | ( Event = pull+ & Fluent = backwards+ & ~ happens(push,Time) )+ | ( Event = pull+ & Fluent = spinning+ & happens(push,Time) ) ) ) )).++fof(terminates_all_defn,axiom,+ ( ! [Event,Fluent,Time] :+ ( terminates(Event,Fluent,Time)+ <=> ( ( Event = push+ & Fluent = backwards+ & ~ happens(pull,Time) )+ | ( Event = pull+ & Fluent = forwards+ & ~ happens(push,Time) )+ | ( Event = pull+ & Fluent = forwards+ & happens(push,Time) )+ | ( Event = pull+ & Fluent = backwards+ & happens(push,Time) )+ | ( Event = push+ & Fluent = spinning+ & ~ happens(pull,Time) )+ | ( Event = pull+ & Fluent = spinning+ & ~ happens(push,Time) ) ) ) )).++fof(releases_all_defn,axiom,+ ( ! [Event,Fluent,Time] : ~ releases(Event,Fluent,Time) )).++fof(happens_all_defn,axiom,+ ( ! [Event,Time] :+ ( happens(Event,Time)+ <=> ( ( Event = push+ & Time = n0 )+ | ( Event = pull+ & Time = n1 )+ | ( Event = pull+ & Time = n2 )+ | ( Event = push+ & Time = n2 ) ) ) )).++%----Distinct events+fof(push_not_pull,axiom,+ ( push != pull )).++%----Distinct fluents+fof(forwards_not_backwards,axiom,+ ( forwards != backwards )).++fof(forwards_not_spinning,axiom,+ ( forwards != spinning )).++fof(spinning_not_backwards,axiom,+ ( spinning != backwards )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/CSR001+3.ax view
@@ -0,0 +1,93 @@+%------------------------------------------------------------------------------+% File : CSR001+3 : TPTP v7.2.0. Released v3.1.0.+% Domain : Commonsense Reasoning+% Axioms : Supermarket trolley scenario for multiple trolleys+% Version : [Mue05] axioms : Especial.+% English :++% Refs : [Mue05] Mueller (2005), Email to Geoff Sutcliffe+% Source : [Mue05]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 9 ( 5 unit)+% Number of atoms : 40 ( 28 equality)+% Maximal formula depth : 15 ( 7 average)+% Number of connectives : 48 ( 17 ~ ; 7 |; 20 &)+% ( 2 <=>; 2 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 5 ( 0 propositional; 2-3 arity)+% Number of functors : 5 ( 0 constant; 1-2 arity)+% Number of variables : 26 ( 0 singleton; 22 !; 4 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires CSR001+0.ax+%------------------------------------------------------------------------------+fof(initiates_all_defn,axiom,+ ( ! [Event,Fluent,Time] :+ ( initiates(Event,Fluent,Time)+ <=> ? [Agent,Trolley] :+ ( ( Event = push(Agent,Trolley)+ & Fluent = forwards(Trolley)+ & ~ happens(pull(Agent,Trolley),Time) )+ | ( Event = pull(Agent,Trolley)+ & Fluent = backwards(Trolley)+ & ~ happens(push(Agent,Trolley),Time) )+ | ( Event = pull(Agent,Trolley)+ & Fluent = spinning(Trolley)+ & happens(push(Agent,Trolley),Time) ) ) ) )).++fof(terminates_all_defn,axiom,+ ( ! [Event,Fluent,Time] :+ ( terminates(Event,Fluent,Time)+ <=> ? [Agent,Trolley] :+ ( ( Event = push(Agent,Trolley)+ & Fluent = backwards(Trolley)+ & ~ happens(pull(Agent,Trolley),Time) )+ | ( Event = pull(Agent,Trolley)+ & Fluent = forwards(Trolley)+ & ~ happens(push(Agent,Trolley),Time) )+ | ( Event = pull(Agent,Trolley)+ & Fluent = forwards(Trolley)+ & happens(push(Agent,Trolley),Time) )+ | ( Event = pull(Agent,Trolley)+ & Fluent = backwards(Trolley)+ & happens(push(Agent,Trolley),Time) )+ | ( Event = push(Agent,Trolley)+ & Fluent = spinning(Trolley)+ & ~ happens(pull(Agent,Trolley),Time) )+ | ( Event = pull(Agent,Trolley)+ & Fluent = spinning(Trolley)+ & ~ happens(push(Agent,Trolley),Time) ) ) ) )).++fof(releases_all_defn,axiom,+ ( ! [Event,Fluent,Time] : ~ releases(Event,Fluent,Time) )).++%----Distinct events+fof(push_not_pull,axiom,+ ( ! [Agent,Trolley] : push(Agent,Trolley) != pull(Agent,Trolley) )).++fof(push_unique,axiom,+ ( ! [Agent1,Agent2,Trolley1,Trolley2] :+ ( ( Agent1 != Agent2+ & Trolley1 != Trolley2 )+ => push(Agent1,Trolley1) != push(Agent2,Trolley2) ) )).++fof(pull_unique,axiom,+ ( ! [Agent1,Agent2,Trolley1,Trolley2] :+ ( ( Agent1 != Agent2+ & Trolley1 != Trolley2 )+ => pull(Agent1,Trolley1) != pull(Agent2,Trolley2) ) )).++%----Distinct fluents+fof(forwards_not_backwards,axiom,+ ( ! [Trolley] : forwards(Trolley) != backwards(Trolley) )).++fof(forwards_not_spinning,axiom,+ ( ! [Trolley] : forwards(Trolley) != spinning(Trolley) )).++fof(spinning_not_backwards,axiom,+ ( ! [Trolley] : spinning(Trolley) != backwards(Trolley) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/CSR003+3.ax view
@@ -0,0 +1,22750 @@+%------------------------------------------------------------------------------+% File : CSR003+3 : TPTP v7.2.0. Bugfixed v5.4.0.+% Domain : Commonsense Reasoning+% Axioms : SUMO transitive relation cache+% Version : Especial.+% English : The transitive closure of the SUMO axioms, for predicates that+% are instances of TransitiveRelation.++% Refs : [NP01] Niles & Pease (2001), Towards A Standard Upper Ontology+% : [Pea11] Pease (2011), Ontology: A Practical Guide+% : [Pea12] Pease (2012), Email to G. Sutcliffe+% Source : [Pea12] +% Names : ++% Status : Satisfiable+% Syntax : Number of formulae : 7570 (7570 unit)+% Number of atoms : 7570 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 5 ( 0 propositional; 2-2 arity)+% Number of functors : 1809 (1809 constant; 0-0 arity)+% Number of variables : 0 ( 0 sgn; 0 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : This is a translation to TPTP of the cached assertions generated+% for KB SUMO.+% : Copyright 2010 Articulate Software Incorporated, released under+% the GNU Public License <http://www.gnu.org/copyleft/gpl.html>.+% : The lines commented out with %FOL contain either non-first-order+% contructs, or aspects of the ontology not relevant to reasoning.+% : Requires CSR003+0.ax +% Bugfixes : v4.1.0 - Updated ontology.+% : v5.3.0 - Repaired ontology to remove inconsistency+% : v5.4.0 - Updated ontology+%------------------------------------------------------------------------------+fof(kb_SUMOcache_1,axiom,(+ s__instance(s__UnitedStatesDollar,s__Quantity) )).++fof(kb_SUMOcache_2,axiom,(+ s__instance(s__UnitedStatesDollar,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_3,axiom,(+ s__instance(s__UnitedStatesDollar,s__UnitOfMeasure) )).++fof(kb_SUMOcache_4,axiom,(+ s__instance(s__UnitedStatesDollar,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5,axiom,(+ s__instance(s__UnitedStatesDollar,s__Abstract) )).++fof(kb_SUMOcache_6,axiom,(+ s__instance(s__UnitedStatesDollar,s__Entity) )).++fof(kb_SUMOcache_7,axiom,(+ s__instance(s__expressedInLanguage__m,s__Relation) )).++fof(kb_SUMOcache_8,axiom,(+ s__instance(s__expressedInLanguage__m,s__InheritableRelation) )).++fof(kb_SUMOcache_9,axiom,(+ s__instance(s__expressedInLanguage__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_10,axiom,(+ s__instance(s__expressedInLanguage__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_11,axiom,(+ s__instance(s__expressedInLanguage__m,s__Predicate) )).++fof(kb_SUMOcache_12,axiom,(+ s__instance(s__expressedInLanguage__m,s__BinaryRelation) )).++fof(kb_SUMOcache_13,axiom,(+ s__instance(s__expressedInLanguage__m,s__Abstract) )).++fof(kb_SUMOcache_14,axiom,(+ s__instance(s__expressedInLanguage__m,s__Entity) )).++fof(kb_SUMOcache_15,axiom,(+ s__instance(s__Rough,s__Attribute) )).++fof(kb_SUMOcache_16,axiom,(+ s__instance(s__Rough,s__PerceptualAttribute) )).++fof(kb_SUMOcache_17,axiom,(+ s__instance(s__Rough,s__Abstract) )).++fof(kb_SUMOcache_18,axiom,(+ s__instance(s__Rough,s__Entity) )).++fof(kb_SUMOcache_19,axiom,(+ s__instance(s__NegativeInfinity,s__Quantity) )).++fof(kb_SUMOcache_20,axiom,(+ s__instance(s__NegativeInfinity,s__ConstantQuantity) )).++fof(kb_SUMOcache_21,axiom,(+ s__instance(s__NegativeInfinity,s__TimeMeasure) )).++fof(kb_SUMOcache_22,axiom,(+ s__instance(s__NegativeInfinity,s__TimePosition) )).++fof(kb_SUMOcache_23,axiom,(+ s__instance(s__NegativeInfinity,s__Abstract) )).++fof(kb_SUMOcache_24,axiom,(+ s__instance(s__NegativeInfinity,s__PhysicalQuantity) )).++fof(kb_SUMOcache_25,axiom,(+ s__instance(s__NegativeInfinity,s__Entity) )).++fof(kb_SUMOcache_26,axiom,(+ s__instance(s__West,s__Attribute) )).++fof(kb_SUMOcache_27,axiom,(+ s__instance(s__West,s__PositionalAttribute) )).++fof(kb_SUMOcache_28,axiom,(+ s__instance(s__West,s__RelationalAttribute) )).++fof(kb_SUMOcache_29,axiom,(+ s__instance(s__West,s__Entity) )).++fof(kb_SUMOcache_30,axiom,(+ s__instance(s__West,s__Abstract) )).++fof(kb_SUMOcache_31,axiom,(+ s__instance(s__Unemployed,s__Attribute) )).++fof(kb_SUMOcache_32,axiom,(+ s__instance(s__Unemployed,s__RelationalAttribute) )).++fof(kb_SUMOcache_33,axiom,(+ s__instance(s__Unemployed,s__Abstract) )).++fof(kb_SUMOcache_34,axiom,(+ s__instance(s__Unemployed,s__Entity) )).++fof(kb_SUMOcache_35,axiom,(+ s__instance(s__MountainTimeZone,s__Attribute) )).++fof(kb_SUMOcache_36,axiom,(+ s__instance(s__MountainTimeZone,s__RelationalAttribute) )).++fof(kb_SUMOcache_37,axiom,(+ s__instance(s__MountainTimeZone,s__Entity) )).++fof(kb_SUMOcache_38,axiom,(+ s__instance(s__MountainTimeZone,s__Abstract) )).++fof(kb_SUMOcache_39,axiom,(+ s__instance(s__entails__m,s__Relation) )).++fof(kb_SUMOcache_40,axiom,(+ s__instance(s__entails__m,s__InheritableRelation) )).++fof(kb_SUMOcache_41,axiom,(+ s__instance(s__entails__m,s__Predicate) )).++fof(kb_SUMOcache_42,axiom,(+ s__instance(s__entails__m,s__BinaryRelation) )).++fof(kb_SUMOcache_43,axiom,(+ s__instance(s__entails__m,s__Abstract) )).++fof(kb_SUMOcache_44,axiom,(+ s__instance(s__entails__m,s__Entity) )).++fof(kb_SUMOcache_45,axiom,(+ s__instance(s__time__m,s__Relation) )).++fof(kb_SUMOcache_46,axiom,(+ s__instance(s__time__m,s__InheritableRelation) )).++fof(kb_SUMOcache_47,axiom,(+ s__instance(s__time__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_48,axiom,(+ s__instance(s__time__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_49,axiom,(+ s__instance(s__time__m,s__Predicate) )).++fof(kb_SUMOcache_50,axiom,(+ s__instance(s__time__m,s__BinaryRelation) )).++fof(kb_SUMOcache_51,axiom,(+ s__instance(s__time__m,s__Abstract) )).++fof(kb_SUMOcache_52,axiom,(+ s__instance(s__time__m,s__Entity) )).++fof(kb_SUMOcache_53,axiom,(+ s__instance(s__located__m,s__Relation) )).++fof(kb_SUMOcache_54,axiom,(+ s__instance(s__located__m,s__InheritableRelation) )).++fof(kb_SUMOcache_55,axiom,(+ s__instance(s__located__m,s__Predicate) )).++fof(kb_SUMOcache_56,axiom,(+ s__instance(s__located__m,s__BinaryRelation) )).++fof(kb_SUMOcache_57,axiom,(+ s__instance(s__located__m,s__Entity) )).++fof(kb_SUMOcache_58,axiom,(+ s__instance(s__located__m,s__Abstract) )).++fof(kb_SUMOcache_59,axiom,(+ s__instance(s__finishes__m,s__Relation) )).++fof(kb_SUMOcache_60,axiom,(+ s__instance(s__finishes__m,s__InheritableRelation) )).++fof(kb_SUMOcache_61,axiom,(+ s__instance(s__finishes__m,s__Predicate) )).++fof(kb_SUMOcache_62,axiom,(+ s__instance(s__finishes__m,s__BinaryRelation) )).++fof(kb_SUMOcache_63,axiom,(+ s__instance(s__finishes__m,s__Abstract) )).++fof(kb_SUMOcache_64,axiom,(+ s__instance(s__finishes__m,s__Entity) )).++fof(kb_SUMOcache_65,axiom,(+ s__instance(s__Near,s__Attribute) )).++fof(kb_SUMOcache_66,axiom,(+ s__instance(s__Near,s__PositionalAttribute) )).++fof(kb_SUMOcache_67,axiom,(+ s__instance(s__Near,s__RelationalAttribute) )).++fof(kb_SUMOcache_68,axiom,(+ s__instance(s__Near,s__Abstract) )).++fof(kb_SUMOcache_69,axiom,(+ s__instance(s__Near,s__Entity) )).++fof(kb_SUMOcache_70,axiom,(+ s__instance(s__MinimalCutSetFn__m,s__Relation) )).++fof(kb_SUMOcache_71,axiom,(+ s__instance(s__MinimalCutSetFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_72,axiom,(+ s__instance(s__MinimalCutSetFn__m,s__Function) )).++fof(kb_SUMOcache_73,axiom,(+ s__instance(s__MinimalCutSetFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_74,axiom,(+ s__instance(s__MinimalCutSetFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_75,axiom,(+ s__instance(s__MinimalCutSetFn__m,s__Abstract) )).++fof(kb_SUMOcache_76,axiom,(+ s__instance(s__MinimalCutSetFn__m,s__Entity) )).++fof(kb_SUMOcache_77,axiom,(+ s__instance(lesseq__m,s__Relation) )).++fof(kb_SUMOcache_78,axiom,(+ s__instance(lesseq__m,s__InheritableRelation) )).++fof(kb_SUMOcache_79,axiom,(+ s__instance(lesseq__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_80,axiom,(+ s__instance(lesseq__m,s__Predicate) )).++fof(kb_SUMOcache_81,axiom,(+ s__instance(lesseq__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_82,axiom,(+ s__instance(lesseq__m,s__BinaryRelation) )).++fof(kb_SUMOcache_83,axiom,(+ s__instance(lesseq__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_84,axiom,(+ s__instance(lesseq__m,s__Abstract) )).++fof(kb_SUMOcache_85,axiom,(+ s__instance(lesseq__m,s__Entity) )).++fof(kb_SUMOcache_86,axiom,(+ s__instance(s__LeastCommonMultipleFn__m,s__Relation) )).++fof(kb_SUMOcache_87,axiom,(+ s__instance(s__Relation__t,s__SetOrClass) )).++fof(kb_SUMOcache_88,axiom,(+ s__instance(s__LeastCommonMultipleFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_89,axiom,(+ s__instance(s__InheritableRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_90,axiom,(+ s__instance(s__LeastCommonMultipleFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_91,axiom,(+ s__instance(s__SingleValuedRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_92,axiom,(+ s__instance(s__LeastCommonMultipleFn__m,s__Abstract) )).++fof(kb_SUMOcache_93,axiom,(+ s__instance(s__Abstract__t,s__SetOrClass) )).++fof(kb_SUMOcache_94,axiom,(+ s__instance(s__LeastCommonMultipleFn__m,s__Entity) )).++fof(kb_SUMOcache_95,axiom,(+ s__instance(s__Entity__t,s__SetOrClass) )).++fof(kb_SUMOcache_96,axiom,(+ s__instance(s__HourDuration,s__Quantity) )).++fof(kb_SUMOcache_97,axiom,(+ s__instance(s__HourDuration,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_98,axiom,(+ s__instance(s__HourDuration,s__UnitOfMeasure) )).++fof(kb_SUMOcache_99,axiom,(+ s__instance(s__HourDuration,s__PhysicalQuantity) )).++fof(kb_SUMOcache_100,axiom,(+ s__instance(s__HourDuration,s__Abstract) )).++fof(kb_SUMOcache_101,axiom,(+ s__instance(s__HourDuration,s__Entity) )).++fof(kb_SUMOcache_102,axiom,(+ s__instance(s__parent__m,s__Relation) )).++fof(kb_SUMOcache_103,axiom,(+ s__instance(s__parent__m,s__InheritableRelation) )).++fof(kb_SUMOcache_104,axiom,(+ s__instance(s__parent__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_105,axiom,(+ s__instance(s__parent__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_106,axiom,(+ s__instance(s__parent__m,s__Predicate) )).++fof(kb_SUMOcache_107,axiom,(+ s__instance(s__parent__m,s__BinaryRelation) )).++fof(kb_SUMOcache_108,axiom,(+ s__instance(s__parent__m,s__Abstract) )).++fof(kb_SUMOcache_109,axiom,(+ s__instance(s__parent__m,s__Entity) )).++fof(kb_SUMOcache_110,axiom,(+ s__instance(s__editor__m,s__Relation) )).++fof(kb_SUMOcache_111,axiom,(+ s__instance(s__editor__m,s__InheritableRelation) )).++fof(kb_SUMOcache_112,axiom,(+ s__instance(s__editor__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_113,axiom,(+ s__instance(s__editor__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_114,axiom,(+ s__instance(s__editor__m,s__Predicate) )).++fof(kb_SUMOcache_115,axiom,(+ s__instance(s__editor__m,s__BinaryRelation) )).++fof(kb_SUMOcache_116,axiom,(+ s__instance(s__editor__m,s__Abstract) )).++fof(kb_SUMOcache_117,axiom,(+ s__instance(s__editor__m,s__Entity) )).++fof(kb_SUMOcache_118,axiom,(+ s__instance(s__ElectronVolt,s__Quantity) )).++fof(kb_SUMOcache_119,axiom,(+ s__instance(s__ElectronVolt,s__UnitOfMeasure) )).++fof(kb_SUMOcache_120,axiom,(+ s__instance(s__ElectronVolt,s__PhysicalQuantity) )).++fof(kb_SUMOcache_121,axiom,(+ s__instance(s__ElectronVolt,s__Abstract) )).++fof(kb_SUMOcache_122,axiom,(+ s__instance(s__ElectronVolt,s__Entity) )).++fof(kb_SUMOcache_123,axiom,(+ s__instance(s__meltingPoint__m,s__Relation) )).++fof(kb_SUMOcache_124,axiom,(+ s__instance(s__meltingPoint__m,s__InheritableRelation) )).++fof(kb_SUMOcache_125,axiom,(+ s__instance(s__meltingPoint__m,s__Predicate) )).++fof(kb_SUMOcache_126,axiom,(+ s__instance(s__meltingPoint__m,s__BinaryRelation) )).++fof(kb_SUMOcache_127,axiom,(+ s__instance(s__meltingPoint__m,s__Abstract) )).++fof(kb_SUMOcache_128,axiom,(+ s__instance(s__meltingPoint__m,s__Entity) )).++fof(kb_SUMOcache_129,axiom,(+ s__instance(s__EuroDollar,s__Quantity) )).++fof(kb_SUMOcache_130,axiom,(+ s__instance(s__EuroDollar,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_131,axiom,(+ s__instance(s__EuroDollar,s__UnitOfMeasure) )).++fof(kb_SUMOcache_132,axiom,(+ s__instance(s__EuroDollar,s__PhysicalQuantity) )).++fof(kb_SUMOcache_133,axiom,(+ s__instance(s__EuroDollar,s__Abstract) )).++fof(kb_SUMOcache_134,axiom,(+ s__instance(s__EuroDollar,s__Entity) )).++fof(kb_SUMOcache_135,axiom,(+ s__instance(s__ProbabilityFn__m,s__Relation) )).++fof(kb_SUMOcache_136,axiom,(+ s__instance(s__ProbabilityFn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_137,axiom,(+ s__instance(s__ProbabilityFn__m,s__Function) )).++fof(kb_SUMOcache_138,axiom,(+ s__instance(s__ProbabilityFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_139,axiom,(+ s__instance(s__ProbabilityFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_140,axiom,(+ s__instance(s__ProbabilityFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_141,axiom,(+ s__instance(s__ProbabilityFn__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_142,axiom,(+ s__instance(s__ProbabilityFn__m,s__Entity) )).++fof(kb_SUMOcache_143,axiom,(+ s__instance(s__ProbabilityFn__m,s__Abstract) )).++fof(kb_SUMOcache_144,axiom,(+ s__instance(s__holdsRight__m,s__Relation) )).++fof(kb_SUMOcache_145,axiom,(+ s__instance(s__holdsRight__m,s__InheritableRelation) )).++fof(kb_SUMOcache_146,axiom,(+ s__instance(s__holdsRight__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_147,axiom,(+ s__instance(s__holdsRight__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_148,axiom,(+ s__instance(s__holdsRight__m,s__Predicate) )).++fof(kb_SUMOcache_149,axiom,(+ s__instance(s__holdsRight__m,s__BinaryRelation) )).++fof(kb_SUMOcache_150,axiom,(+ s__instance(s__holdsRight__m,s__Abstract) )).++fof(kb_SUMOcache_151,axiom,(+ s__instance(s__holdsRight__m,s__Entity) )).++fof(kb_SUMOcache_152,axiom,(+ s__instance(s__SpeedFn__m,s__Relation) )).++fof(kb_SUMOcache_153,axiom,(+ s__instance(s__SpeedFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_154,axiom,(+ s__instance(s__SpeedFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_155,axiom,(+ s__instance(s__SpeedFn__m,s__Function) )).++fof(kb_SUMOcache_156,axiom,(+ s__instance(s__SpeedFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_157,axiom,(+ s__instance(s__SpeedFn__m,s__BinaryFunction) )).++fof(kb_SUMOcache_158,axiom,(+ s__instance(s__SpeedFn__m,s__Abstract) )).++fof(kb_SUMOcache_159,axiom,(+ s__instance(s__SpeedFn__m,s__Entity) )).++fof(kb_SUMOcache_160,axiom,(+ s__instance(s__geographicSubregion__m,s__Relation) )).++fof(kb_SUMOcache_161,axiom,(+ s__instance(s__geographicSubregion__m,s__InheritableRelation) )).++fof(kb_SUMOcache_162,axiom,(+ s__instance(s__geographicSubregion__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_163,axiom,(+ s__instance(s__geographicSubregion__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_164,axiom,(+ s__instance(s__geographicSubregion__m,s__Predicate) )).++fof(kb_SUMOcache_165,axiom,(+ s__instance(s__geographicSubregion__m,s__BinaryRelation) )).++fof(kb_SUMOcache_166,axiom,(+ s__instance(s__geographicSubregion__m,s__Abstract) )).++fof(kb_SUMOcache_167,axiom,(+ s__instance(s__geographicSubregion__m,s__Entity) )).++fof(kb_SUMOcache_168,axiom,(+ s__instance(s__deprivesNorm__m,s__Relation) )).++fof(kb_SUMOcache_169,axiom,(+ s__instance(s__deprivesNorm__m,s__InheritableRelation) )).++fof(kb_SUMOcache_170,axiom,(+ s__instance(s__deprivesNorm__m,s__TernaryRelation) )).++fof(kb_SUMOcache_171,axiom,(+ s__instance(s__deprivesNorm__m,s__Predicate) )).++fof(kb_SUMOcache_172,axiom,(+ s__instance(s__deprivesNorm__m,s__Abstract) )).++fof(kb_SUMOcache_173,axiom,(+ s__instance(s__deprivesNorm__m,s__Entity) )).++fof(kb_SUMOcache_174,axiom,(+ s__instance(s__GraphPathFn__m,s__Relation) )).++fof(kb_SUMOcache_175,axiom,(+ s__instance(s__GraphPathFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_176,axiom,(+ s__instance(s__GraphPathFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_177,axiom,(+ s__instance(s__GraphPathFn__m,s__Function) )).++fof(kb_SUMOcache_178,axiom,(+ s__instance(s__GraphPathFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_179,axiom,(+ s__instance(s__GraphPathFn__m,s__Abstract) )).++fof(kb_SUMOcache_180,axiom,(+ s__instance(s__GraphPathFn__m,s__Entity) )).++fof(kb_SUMOcache_181,axiom,(+ s__instance(s__before__m,s__Relation) )).++fof(kb_SUMOcache_182,axiom,(+ s__instance(s__before__m,s__InheritableRelation) )).++fof(kb_SUMOcache_183,axiom,(+ s__instance(s__before__m,s__Predicate) )).++fof(kb_SUMOcache_184,axiom,(+ s__instance(s__before__m,s__BinaryRelation) )).++fof(kb_SUMOcache_185,axiom,(+ s__instance(s__before__m,s__Abstract) )).++fof(kb_SUMOcache_186,axiom,(+ s__instance(s__before__m,s__Entity) )).++fof(kb_SUMOcache_187,axiom,(+ s__instance(s__UnitFn__m,s__Relation) )).++fof(kb_SUMOcache_188,axiom,(+ s__instance(s__UnitFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_189,axiom,(+ s__instance(s__UnitFn__m,s__Function) )).++fof(kb_SUMOcache_190,axiom,(+ s__instance(s__UnitFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_191,axiom,(+ s__instance(s__UnitFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_192,axiom,(+ s__instance(s__UnitFn__m,s__Abstract) )).++fof(kb_SUMOcache_193,axiom,(+ s__instance(s__UnitFn__m,s__Entity) )).++fof(kb_SUMOcache_194,axiom,(+ s__instance(s__angularMeasure__m,s__Relation) )).++fof(kb_SUMOcache_195,axiom,(+ s__instance(s__angularMeasure__m,s__InheritableRelation) )).++fof(kb_SUMOcache_196,axiom,(+ s__instance(s__angularMeasure__m,s__Predicate) )).++fof(kb_SUMOcache_197,axiom,(+ s__instance(s__angularMeasure__m,s__BinaryRelation) )).++fof(kb_SUMOcache_198,axiom,(+ s__instance(s__angularMeasure__m,s__Abstract) )).++fof(kb_SUMOcache_199,axiom,(+ s__instance(s__angularMeasure__m,s__Entity) )).++fof(kb_SUMOcache_200,axiom,(+ s__instance(s__GeneralizedUnionFn__m,s__Relation) )).++fof(kb_SUMOcache_201,axiom,(+ s__instance(s__GeneralizedUnionFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_202,axiom,(+ s__instance(s__GeneralizedUnionFn__m,s__Function) )).++fof(kb_SUMOcache_203,axiom,(+ s__instance(s__GeneralizedUnionFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_204,axiom,(+ s__instance(s__GeneralizedUnionFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_205,axiom,(+ s__instance(s__GeneralizedUnionFn__m,s__Abstract) )).++fof(kb_SUMOcache_206,axiom,(+ s__instance(s__GeneralizedUnionFn__m,s__Entity) )).++fof(kb_SUMOcache_207,axiom,(+ s__instance(s__patient__m,s__Relation) )).++fof(kb_SUMOcache_208,axiom,(+ s__instance(s__patient__m,s__InheritableRelation) )).++fof(kb_SUMOcache_209,axiom,(+ s__instance(s__patient__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_210,axiom,(+ s__instance(s__patient__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_211,axiom,(+ s__instance(s__patient__m,s__Predicate) )).++fof(kb_SUMOcache_212,axiom,(+ s__instance(s__patient__m,s__BinaryPredicate) )).++fof(kb_SUMOcache_213,axiom,(+ s__instance(s__patient__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_214,axiom,(+ s__instance(s__patient__m,s__BinaryRelation) )).++fof(kb_SUMOcache_215,axiom,(+ s__instance(s__patient__m,s__Abstract) )).++fof(kb_SUMOcache_216,axiom,(+ s__instance(s__patient__m,s__Entity) )).++fof(kb_SUMOcache_217,axiom,(+ s__instance(s__Fillable,s__StructureAttribute) )).++fof(kb_SUMOcache_218,axiom,(+ s__instance(s__Fillable,s__Attribute) )).++fof(kb_SUMOcache_219,axiom,(+ s__instance(s__Fillable,s__InternalAttribute) )).++fof(kb_SUMOcache_220,axiom,(+ s__instance(s__Fillable,s__Abstract) )).++fof(kb_SUMOcache_221,axiom,(+ s__instance(s__Fillable,s__Entity) )).++fof(kb_SUMOcache_222,axiom,(+ s__instance(s__Gram,s__Quantity) )).++fof(kb_SUMOcache_223,axiom,(+ s__instance(s__Gram,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_224,axiom,(+ s__instance(s__Gram,s__UnitOfMeasure) )).++fof(kb_SUMOcache_225,axiom,(+ s__instance(s__Gram,s__PhysicalQuantity) )).++fof(kb_SUMOcache_226,axiom,(+ s__instance(s__Gram,s__Abstract) )).++fof(kb_SUMOcache_227,axiom,(+ s__instance(s__Gram,s__Entity) )).++fof(kb_SUMOcache_228,axiom,(+ s__instance(s__side__m,s__Relation) )).++fof(kb_SUMOcache_229,axiom,(+ s__instance(s__side__m,s__InheritableRelation) )).++fof(kb_SUMOcache_230,axiom,(+ s__instance(s__side__m,s__Predicate) )).++fof(kb_SUMOcache_231,axiom,(+ s__instance(s__side__m,s__BinaryRelation) )).++fof(kb_SUMOcache_232,axiom,(+ s__instance(s__side__m,s__Abstract) )).++fof(kb_SUMOcache_233,axiom,(+ s__instance(s__side__m,s__Entity) )).++fof(kb_SUMOcache_234,axiom,(+ s__instance(s__fills__m,s__Relation) )).++fof(kb_SUMOcache_235,axiom,(+ s__instance(s__fills__m,s__InheritableRelation) )).++fof(kb_SUMOcache_236,axiom,(+ s__instance(s__fills__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_237,axiom,(+ s__instance(s__fills__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_238,axiom,(+ s__instance(s__fills__m,s__Predicate) )).++fof(kb_SUMOcache_239,axiom,(+ s__instance(s__fills__m,s__BinaryRelation) )).++fof(kb_SUMOcache_240,axiom,(+ s__instance(s__fills__m,s__Abstract) )).++fof(kb_SUMOcache_241,axiom,(+ s__instance(s__fills__m,s__Entity) )).++fof(kb_SUMOcache_242,axiom,(+ s__instance(s__domain__m,s__Relation) )).++fof(kb_SUMOcache_243,axiom,(+ s__instance(s__domain__m,s__InheritableRelation) )).++fof(kb_SUMOcache_244,axiom,(+ s__instance(s__domain__m,s__TernaryRelation) )).++fof(kb_SUMOcache_245,axiom,(+ s__instance(s__domain__m,s__Predicate) )).++fof(kb_SUMOcache_246,axiom,(+ s__instance(s__domain__m,s__Abstract) )).++fof(kb_SUMOcache_247,axiom,(+ s__instance(s__domain__m,s__Entity) )).++fof(kb_SUMOcache_248,axiom,(+ s__instance(s__desires__m,s__Relation) )).++fof(kb_SUMOcache_249,axiom,(+ s__instance(s__desires__m,s__InheritableRelation) )).++fof(kb_SUMOcache_250,axiom,(+ s__instance(s__desires__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_251,axiom,(+ s__instance(s__desires__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_252,axiom,(+ s__instance(s__desires__m,s__Predicate) )).++fof(kb_SUMOcache_253,axiom,(+ s__instance(s__desires__m,s__IntentionalRelation) )).++fof(kb_SUMOcache_254,axiom,(+ s__instance(s__IntentionalRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_255,axiom,(+ s__instance(s__desires__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_256,axiom,(+ s__instance(s__desires__m,s__BinaryRelation) )).++fof(kb_SUMOcache_257,axiom,(+ s__instance(s__desires__m,s__Entity) )).++fof(kb_SUMOcache_258,axiom,(+ s__instance(s__desires__m,s__Abstract) )).++fof(kb_SUMOcache_259,axiom,(+ s__instance(s__RankineDegree,s__Quantity) )).++fof(kb_SUMOcache_260,axiom,(+ s__instance(s__RankineDegree,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_261,axiom,(+ s__instance(s__RankineDegree,s__UnitOfMeasure) )).++fof(kb_SUMOcache_262,axiom,(+ s__instance(s__RankineDegree,s__PhysicalQuantity) )).++fof(kb_SUMOcache_263,axiom,(+ s__instance(s__RankineDegree,s__Abstract) )).++fof(kb_SUMOcache_264,axiom,(+ s__instance(s__RankineDegree,s__Entity) )).++fof(kb_SUMOcache_265,axiom,(+ s__instance(s__meetsSpatially__m,s__Relation) )).++fof(kb_SUMOcache_266,axiom,(+ s__instance(s__meetsSpatially__m,s__InheritableRelation) )).++fof(kb_SUMOcache_267,axiom,(+ s__instance(s__meetsSpatially__m,s__Predicate) )).++fof(kb_SUMOcache_268,axiom,(+ s__instance(s__meetsSpatially__m,s__BinaryRelation) )).++fof(kb_SUMOcache_269,axiom,(+ s__instance(s__meetsSpatially__m,s__Entity) )).++fof(kb_SUMOcache_270,axiom,(+ s__instance(s__meetsSpatially__m,s__Abstract) )).++fof(kb_SUMOcache_271,axiom,(+ s__instance(s__member__m,s__Relation) )).++fof(kb_SUMOcache_272,axiom,(+ s__instance(s__member__m,s__InheritableRelation) )).++fof(kb_SUMOcache_273,axiom,(+ s__instance(s__member__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_274,axiom,(+ s__instance(s__member__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_275,axiom,(+ s__instance(s__member__m,s__Predicate) )).++fof(kb_SUMOcache_276,axiom,(+ s__instance(s__member__m,s__BinaryRelation) )).++fof(kb_SUMOcache_277,axiom,(+ s__instance(s__member__m,s__Abstract) )).++fof(kb_SUMOcache_278,axiom,(+ s__instance(s__member__m,s__Entity) )).++fof(kb_SUMOcache_279,axiom,(+ s__instance(s__EndFn__m,s__Relation) )).++fof(kb_SUMOcache_280,axiom,(+ s__instance(s__EndFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_281,axiom,(+ s__instance(s__EndFn__m,s__Function) )).++fof(kb_SUMOcache_282,axiom,(+ s__instance(s__EndFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_283,axiom,(+ s__instance(s__EndFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_284,axiom,(+ s__instance(s__EndFn__m,s__Abstract) )).++fof(kb_SUMOcache_285,axiom,(+ s__instance(s__EndFn__m,s__Entity) )).++fof(kb_SUMOcache_286,axiom,(+ s__instance(s__VelocityFn__m,s__Relation) )).++fof(kb_SUMOcache_287,axiom,(+ s__instance(s__VelocityFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_288,axiom,(+ s__instance(s__VelocityFn__m,s__QuintaryRelation) )).++fof(kb_SUMOcache_289,axiom,(+ s__instance(s__VelocityFn__m,s__Function) )).++fof(kb_SUMOcache_290,axiom,(+ s__instance(s__VelocityFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_291,axiom,(+ s__instance(s__VelocityFn__m,s__Abstract) )).++fof(kb_SUMOcache_292,axiom,(+ s__instance(s__VelocityFn__m,s__Entity) )).++fof(kb_SUMOcache_293,axiom,(+ s__instance(s__systemPart__m,s__Relation) )).++fof(kb_SUMOcache_294,axiom,(+ s__instance(s__systemPart__m,s__InheritableRelation) )).++fof(kb_SUMOcache_295,axiom,(+ s__instance(s__systemPart__m,s__Predicate) )).++fof(kb_SUMOcache_296,axiom,(+ s__instance(s__systemPart__m,s__BinaryRelation) )).++fof(kb_SUMOcache_297,axiom,(+ s__instance(s__systemPart__m,s__Abstract) )).++fof(kb_SUMOcache_298,axiom,(+ s__instance(s__systemPart__m,s__Entity) )).++fof(kb_SUMOcache_299,axiom,(+ s__instance(s__HoleHostFn__m,s__Relation) )).++fof(kb_SUMOcache_300,axiom,(+ s__instance(s__HoleHostFn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_301,axiom,(+ s__instance(s__HoleHostFn__m,s__Function) )).++fof(kb_SUMOcache_302,axiom,(+ s__instance(s__HoleHostFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_303,axiom,(+ s__instance(s__HoleHostFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_304,axiom,(+ s__instance(s__HoleHostFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_305,axiom,(+ s__instance(s__HoleHostFn__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_306,axiom,(+ s__instance(s__HoleHostFn__m,s__Entity) )).++fof(kb_SUMOcache_307,axiom,(+ s__instance(s__HoleHostFn__m,s__Abstract) )).++fof(kb_SUMOcache_308,axiom,(+ s__instance(s__equivalentContentInstance__m,s__Relation) )).++fof(kb_SUMOcache_309,axiom,(+ s__instance(s__equivalentContentInstance__m,s__InheritableRelation) )).++fof(kb_SUMOcache_310,axiom,(+ s__instance(s__equivalentContentInstance__m,s__Predicate) )).++fof(kb_SUMOcache_311,axiom,(+ s__instance(s__equivalentContentInstance__m,s__SymmetricRelation) )).++fof(kb_SUMOcache_312,axiom,(+ s__instance(s__equivalentContentInstance__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_313,axiom,(+ s__instance(s__equivalentContentInstance__m,s__BinaryRelation) )).++fof(kb_SUMOcache_314,axiom,(+ s__instance(s__equivalentContentInstance__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_315,axiom,(+ s__instance(s__equivalentContentInstance__m,s__Abstract) )).++fof(kb_SUMOcache_316,axiom,(+ s__instance(s__equivalentContentInstance__m,s__Entity) )).++fof(kb_SUMOcache_317,axiom,(+ s__instance(s__Below,s__Attribute) )).++fof(kb_SUMOcache_318,axiom,(+ s__instance(s__Below,s__RelationalAttribute) )).++fof(kb_SUMOcache_319,axiom,(+ s__instance(s__Below,s__Entity) )).++fof(kb_SUMOcache_320,axiom,(+ s__instance(s__Below,s__Abstract) )).++fof(kb_SUMOcache_321,axiom,(+ s__instance(s__MinuteFn__m,s__Relation) )).++fof(kb_SUMOcache_322,axiom,(+ s__instance(s__MinuteFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_323,axiom,(+ s__instance(s__MinuteFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_324,axiom,(+ s__instance(s__MinuteFn__m,s__Function) )).++fof(kb_SUMOcache_325,axiom,(+ s__instance(s__MinuteFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_326,axiom,(+ s__instance(s__MinuteFn__m,s__Abstract) )).++fof(kb_SUMOcache_327,axiom,(+ s__instance(s__MinuteFn__m,s__Entity) )).++fof(kb_SUMOcache_328,axiom,(+ s__instance(s__Pascal,s__Quantity) )).++fof(kb_SUMOcache_329,axiom,(+ s__instance(s__Pascal,s__UnitOfMeasure) )).++fof(kb_SUMOcache_330,axiom,(+ s__instance(s__Pascal,s__PhysicalQuantity) )).++fof(kb_SUMOcache_331,axiom,(+ s__instance(s__Pascal,s__Abstract) )).++fof(kb_SUMOcache_332,axiom,(+ s__instance(s__Pascal,s__Entity) )).++fof(kb_SUMOcache_333,axiom,(+ s__instance(s__needs__m,s__Relation) )).++fof(kb_SUMOcache_334,axiom,(+ s__instance(s__needs__m,s__InheritableRelation) )).++fof(kb_SUMOcache_335,axiom,(+ s__instance(s__needs__m,s__Predicate) )).++fof(kb_SUMOcache_336,axiom,(+ s__instance(s__needs__m,s__IntentionalRelation) )).++fof(kb_SUMOcache_337,axiom,(+ s__instance(s__needs__m,s__BinaryRelation) )).++fof(kb_SUMOcache_338,axiom,(+ s__instance(s__needs__m,s__Abstract) )).++fof(kb_SUMOcache_339,axiom,(+ s__instance(s__needs__m,s__Entity) )).++fof(kb_SUMOcache_340,axiom,(+ s__instance(s__CelsiusDegree,s__Quantity) )).++fof(kb_SUMOcache_341,axiom,(+ s__instance(s__CelsiusDegree,s__UnitOfMeasure) )).++fof(kb_SUMOcache_342,axiom,(+ s__instance(s__CelsiusDegree,s__PhysicalQuantity) )).++fof(kb_SUMOcache_343,axiom,(+ s__instance(s__CelsiusDegree,s__Abstract) )).++fof(kb_SUMOcache_344,axiom,(+ s__instance(s__CelsiusDegree,s__Entity) )).++fof(kb_SUMOcache_345,axiom,(+ s__instance(s__prevents__m,s__Relation) )).++fof(kb_SUMOcache_346,axiom,(+ s__instance(s__prevents__m,s__InheritableRelation) )).++fof(kb_SUMOcache_347,axiom,(+ s__instance(s__prevents__m,s__Predicate) )).++fof(kb_SUMOcache_348,axiom,(+ s__instance(s__prevents__m,s__BinaryRelation) )).++fof(kb_SUMOcache_349,axiom,(+ s__instance(s__prevents__m,s__Entity) )).++fof(kb_SUMOcache_350,axiom,(+ s__instance(s__prevents__m,s__Abstract) )).++fof(kb_SUMOcache_351,axiom,(+ s__instance(s__temporallyBetweenOrEqual__m,s__Relation) )).++fof(kb_SUMOcache_352,axiom,(+ s__instance(s__temporallyBetweenOrEqual__m,s__InheritableRelation) )).++fof(kb_SUMOcache_353,axiom,(+ s__instance(s__temporallyBetweenOrEqual__m,s__TernaryRelation) )).++fof(kb_SUMOcache_354,axiom,(+ s__instance(s__temporallyBetweenOrEqual__m,s__Predicate) )).++fof(kb_SUMOcache_355,axiom,(+ s__instance(s__temporallyBetweenOrEqual__m,s__Abstract) )).++fof(kb_SUMOcache_356,axiom,(+ s__instance(s__temporallyBetweenOrEqual__m,s__Entity) )).++fof(kb_SUMOcache_357,axiom,(+ s__instance(s__PowerSetFn__m,s__Relation) )).++fof(kb_SUMOcache_358,axiom,(+ s__instance(s__PowerSetFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_359,axiom,(+ s__instance(s__PowerSetFn__m,s__Function) )).++fof(kb_SUMOcache_360,axiom,(+ s__instance(s__PowerSetFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_361,axiom,(+ s__instance(s__PowerSetFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_362,axiom,(+ s__instance(s__PowerSetFn__m,s__Abstract) )).++fof(kb_SUMOcache_363,axiom,(+ s__instance(s__PowerSetFn__m,s__Entity) )).++fof(kb_SUMOcache_364,axiom,(+ s__instance(s__SquareRootFn__m,s__Relation) )).++fof(kb_SUMOcache_365,axiom,(+ s__instance(s__SquareRootFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_366,axiom,(+ s__instance(s__SquareRootFn__m,s__Function) )).++fof(kb_SUMOcache_367,axiom,(+ s__instance(s__SquareRootFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_368,axiom,(+ s__instance(s__SquareRootFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_369,axiom,(+ s__instance(s__SquareRootFn__m,s__Abstract) )).++fof(kb_SUMOcache_370,axiom,(+ s__instance(s__SquareRootFn__m,s__Entity) )).++fof(kb_SUMOcache_371,axiom,(+ s__instance(s__Liter,s__Quantity) )).++fof(kb_SUMOcache_372,axiom,(+ s__instance(s__Liter,s__UnitOfMeasure) )).++fof(kb_SUMOcache_373,axiom,(+ s__instance(s__Liter,s__CompositeUnitOfMeasure) )).++fof(kb_SUMOcache_374,axiom,(+ s__instance(s__Liter,s__PhysicalQuantity) )).++fof(kb_SUMOcache_375,axiom,(+ s__instance(s__Liter,s__Abstract) )).++fof(kb_SUMOcache_376,axiom,(+ s__instance(s__Liter,s__Entity) )).++fof(kb_SUMOcache_377,axiom,(+ s__instance(s__starts__m,s__Relation) )).++fof(kb_SUMOcache_378,axiom,(+ s__instance(s__starts__m,s__InheritableRelation) )).++fof(kb_SUMOcache_379,axiom,(+ s__instance(s__starts__m,s__Predicate) )).++fof(kb_SUMOcache_380,axiom,(+ s__instance(s__starts__m,s__BinaryRelation) )).++fof(kb_SUMOcache_381,axiom,(+ s__instance(s__starts__m,s__Abstract) )).++fof(kb_SUMOcache_382,axiom,(+ s__instance(s__starts__m,s__Entity) )).++fof(kb_SUMOcache_383,axiom,(+ s__instance(s__BeginNodeFn__m,s__Relation) )).++fof(kb_SUMOcache_384,axiom,(+ s__instance(s__BeginNodeFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_385,axiom,(+ s__instance(s__BeginNodeFn__m,s__Function) )).++fof(kb_SUMOcache_386,axiom,(+ s__instance(s__BeginNodeFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_387,axiom,(+ s__instance(s__BeginNodeFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_388,axiom,(+ s__instance(s__BeginNodeFn__m,s__Abstract) )).++fof(kb_SUMOcache_389,axiom,(+ s__instance(s__BeginNodeFn__m,s__Entity) )).++fof(kb_SUMOcache_390,axiom,(+ s__instance(s__Radian,s__Quantity) )).++fof(kb_SUMOcache_391,axiom,(+ s__instance(s__Radian,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_392,axiom,(+ s__instance(s__Radian,s__UnitOfMeasure) )).++fof(kb_SUMOcache_393,axiom,(+ s__instance(s__Radian,s__PhysicalQuantity) )).++fof(kb_SUMOcache_394,axiom,(+ s__instance(s__Radian,s__Abstract) )).++fof(kb_SUMOcache_395,axiom,(+ s__instance(s__Radian,s__Entity) )).++fof(kb_SUMOcache_396,axiom,(+ s__instance(s__subProcess__m,s__Relation) )).++fof(kb_SUMOcache_397,axiom,(+ s__instance(s__subProcess__m,s__InheritableRelation) )).++fof(kb_SUMOcache_398,axiom,(+ s__instance(s__subProcess__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_399,axiom,(+ s__instance(s__subProcess__m,s__Predicate) )).++fof(kb_SUMOcache_400,axiom,(+ s__instance(s__subProcess__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_401,axiom,(+ s__instance(s__subProcess__m,s__BinaryRelation) )).++fof(kb_SUMOcache_402,axiom,(+ s__instance(s__subProcess__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_403,axiom,(+ s__instance(s__subProcess__m,s__Abstract) )).++fof(kb_SUMOcache_404,axiom,(+ s__instance(s__subProcess__m,s__Entity) )).++fof(kb_SUMOcache_405,axiom,(+ s__instance(s__ImmediateFutureFn__m,s__Relation) )).++fof(kb_SUMOcache_406,axiom,(+ s__instance(s__ImmediateFutureFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_407,axiom,(+ s__instance(s__ImmediateFutureFn__m,s__Function) )).++fof(kb_SUMOcache_408,axiom,(+ s__instance(s__ImmediateFutureFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_409,axiom,(+ s__instance(s__ImmediateFutureFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_410,axiom,(+ s__instance(s__ImmediateFutureFn__m,s__Abstract) )).++fof(kb_SUMOcache_411,axiom,(+ s__instance(s__ImmediateFutureFn__m,s__Entity) )).++fof(kb_SUMOcache_412,axiom,(+ s__instance(s__AssignmentFn__m,s__Relation) )).++fof(kb_SUMOcache_413,axiom,(+ s__instance(s__AssignmentFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_414,axiom,(+ s__instance(s__AssignmentFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_415,axiom,(+ s__instance(s__AssignmentFn__m,s__Abstract) )).++fof(kb_SUMOcache_416,axiom,(+ s__instance(s__AssignmentFn__m,s__Entity) )).++fof(kb_SUMOcache_417,axiom,(+ s__instance(s__penetrates__m,s__Relation) )).++fof(kb_SUMOcache_418,axiom,(+ s__instance(s__penetrates__m,s__InheritableRelation) )).++fof(kb_SUMOcache_419,axiom,(+ s__instance(s__penetrates__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_420,axiom,(+ s__instance(s__penetrates__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_421,axiom,(+ s__instance(s__penetrates__m,s__Predicate) )).++fof(kb_SUMOcache_422,axiom,(+ s__instance(s__penetrates__m,s__BinaryRelation) )).++fof(kb_SUMOcache_423,axiom,(+ s__instance(s__penetrates__m,s__Abstract) )).++fof(kb_SUMOcache_424,axiom,(+ s__instance(s__penetrates__m,s__Entity) )).++fof(kb_SUMOcache_425,axiom,(+ s__instance(s__GovernmentFn__m,s__Relation) )).++fof(kb_SUMOcache_426,axiom,(+ s__instance(s__GovernmentFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_427,axiom,(+ s__instance(s__GovernmentFn__m,s__Function) )).++fof(kb_SUMOcache_428,axiom,(+ s__instance(s__GovernmentFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_429,axiom,(+ s__instance(s__GovernmentFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_430,axiom,(+ s__instance(s__GovernmentFn__m,s__Abstract) )).++fof(kb_SUMOcache_431,axiom,(+ s__instance(s__GovernmentFn__m,s__Entity) )).++fof(kb_SUMOcache_432,axiom,(+ s__instance(s__Necessity,s__ObjectiveNorm) )).++fof(kb_SUMOcache_433,axiom,(+ s__instance(s__Necessity,s__NormativeAttribute) )).++fof(kb_SUMOcache_434,axiom,(+ s__instance(s__Necessity,s__Attribute) )).++fof(kb_SUMOcache_435,axiom,(+ s__instance(s__Necessity,s__RelationalAttribute) )).++fof(kb_SUMOcache_436,axiom,(+ s__instance(s__Necessity,s__Entity) )).++fof(kb_SUMOcache_437,axiom,(+ s__instance(s__Necessity,s__Abstract) )).++fof(kb_SUMOcache_438,axiom,(+ s__instance(s__inList__m,s__Relation) )).++fof(kb_SUMOcache_439,axiom,(+ s__instance(s__inList__m,s__InheritableRelation) )).++fof(kb_SUMOcache_440,axiom,(+ s__instance(s__inList__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_441,axiom,(+ s__instance(s__inList__m,s__Predicate) )).++fof(kb_SUMOcache_442,axiom,(+ s__instance(s__inList__m,s__BinaryRelation) )).++fof(kb_SUMOcache_443,axiom,(+ s__instance(s__inList__m,s__Entity) )).++fof(kb_SUMOcache_444,axiom,(+ s__instance(s__inList__m,s__Abstract) )).++fof(kb_SUMOcache_445,axiom,(+ s__instance(s__moves__m,s__Relation) )).++fof(kb_SUMOcache_446,axiom,(+ s__instance(s__moves__m,s__InheritableRelation) )).++fof(kb_SUMOcache_447,axiom,(+ s__instance(s__moves__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_448,axiom,(+ s__instance(s__moves__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_449,axiom,(+ s__instance(s__moves__m,s__Predicate) )).++fof(kb_SUMOcache_450,axiom,(+ s__instance(s__moves__m,s__BinaryPredicate) )).++fof(kb_SUMOcache_451,axiom,(+ s__instance(s__moves__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_452,axiom,(+ s__instance(s__moves__m,s__BinaryRelation) )).++fof(kb_SUMOcache_453,axiom,(+ s__instance(s__moves__m,s__Abstract) )).++fof(kb_SUMOcache_454,axiom,(+ s__instance(s__moves__m,s__Entity) )).++fof(kb_SUMOcache_455,axiom,(+ s__instance(s__SecondDuration,s__Quantity) )).++fof(kb_SUMOcache_456,axiom,(+ s__instance(s__SecondDuration,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_457,axiom,(+ s__instance(s__SecondDuration,s__UnitOfMeasure) )).++fof(kb_SUMOcache_458,axiom,(+ s__instance(s__SecondDuration,s__PhysicalQuantity) )).++fof(kb_SUMOcache_459,axiom,(+ s__instance(s__SecondDuration,s__Abstract) )).++fof(kb_SUMOcache_460,axiom,(+ s__instance(s__SecondDuration,s__Entity) )).++fof(kb_SUMOcache_461,axiom,(+ s__instance(s__KiloFn__m,s__TotalValuedRelation) )).++fof(kb_SUMOcache_462,axiom,(+ s__instance(s__KiloFn__m,s__Relation) )).++fof(kb_SUMOcache_463,axiom,(+ s__instance(s__KiloFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_464,axiom,(+ s__instance(s__KiloFn__m,s__Function) )).++fof(kb_SUMOcache_465,axiom,(+ s__instance(s__KiloFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_466,axiom,(+ s__instance(s__KiloFn__m,s__UnaryFunction) )).++fof(kb_SUMOcache_467,axiom,(+ s__instance(s__KiloFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_468,axiom,(+ s__instance(s__KiloFn__m,s__Entity) )).++fof(kb_SUMOcache_469,axiom,(+ s__instance(s__KiloFn__m,s__Abstract) )).++fof(kb_SUMOcache_470,axiom,(+ s__instance(s__Blue,s__VisualAttribute) )).++fof(kb_SUMOcache_471,axiom,(+ s__instance(s__Blue,s__Attribute) )).++fof(kb_SUMOcache_472,axiom,(+ s__instance(s__Blue,s__PerceptualAttribute) )).++fof(kb_SUMOcache_473,axiom,(+ s__instance(s__Blue,s__ColorAttribute) )).++fof(kb_SUMOcache_474,axiom,(+ s__instance(s__Blue,s__Entity) )).++fof(kb_SUMOcache_475,axiom,(+ s__instance(s__Blue,s__Abstract) )).++fof(kb_SUMOcache_476,axiom,(+ s__instance(s__height__m,s__Relation) )).++fof(kb_SUMOcache_477,axiom,(+ s__instance(s__height__m,s__InheritableRelation) )).++fof(kb_SUMOcache_478,axiom,(+ s__instance(s__height__m,s__Predicate) )).++fof(kb_SUMOcache_479,axiom,(+ s__instance(s__height__m,s__BinaryRelation) )).++fof(kb_SUMOcache_480,axiom,(+ s__instance(s__height__m,s__Abstract) )).++fof(kb_SUMOcache_481,axiom,(+ s__instance(s__height__m,s__Entity) )).++fof(kb_SUMOcache_482,axiom,(+ s__instance(s__betweenOnPath__m,s__Relation) )).++fof(kb_SUMOcache_483,axiom,(+ s__instance(s__betweenOnPath__m,s__InheritableRelation) )).++fof(kb_SUMOcache_484,axiom,(+ s__instance(s__betweenOnPath__m,s__QuaternaryRelation) )).++fof(kb_SUMOcache_485,axiom,(+ s__instance(s__QuaternaryRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_486,axiom,(+ s__instance(s__betweenOnPath__m,s__Predicate) )).++fof(kb_SUMOcache_487,axiom,(+ s__instance(s__betweenOnPath__m,s__Abstract) )).++fof(kb_SUMOcache_488,axiom,(+ s__instance(s__betweenOnPath__m,s__Entity) )).++fof(kb_SUMOcache_489,axiom,(+ s__instance(s__EuroCent,s__Quantity) )).++fof(kb_SUMOcache_490,axiom,(+ s__instance(s__EuroCent,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_491,axiom,(+ s__instance(s__EuroCent,s__UnitOfMeasure) )).++fof(kb_SUMOcache_492,axiom,(+ s__instance(s__EuroCent,s__PhysicalQuantity) )).++fof(kb_SUMOcache_493,axiom,(+ s__instance(s__EuroCent,s__Abstract) )).++fof(kb_SUMOcache_494,axiom,(+ s__instance(s__EuroCent,s__Entity) )).++fof(kb_SUMOcache_495,axiom,(+ s__instance(s__component__m,s__Relation) )).++fof(kb_SUMOcache_496,axiom,(+ s__instance(s__component__m,s__InheritableRelation) )).++fof(kb_SUMOcache_497,axiom,(+ s__instance(s__component__m,s__Predicate) )).++fof(kb_SUMOcache_498,axiom,(+ s__instance(s__component__m,s__BinaryRelation) )).++fof(kb_SUMOcache_499,axiom,(+ s__instance(s__component__m,s__Abstract) )).++fof(kb_SUMOcache_500,axiom,(+ s__instance(s__component__m,s__Entity) )).++fof(kb_SUMOcache_501,axiom,(+ s__instance(s__distributes__m,s__Relation) )).++fof(kb_SUMOcache_502,axiom,(+ s__instance(s__distributes__m,s__InheritableRelation) )).++fof(kb_SUMOcache_503,axiom,(+ s__instance(s__distributes__m,s__Predicate) )).++fof(kb_SUMOcache_504,axiom,(+ s__instance(s__distributes__m,s__Abstract) )).++fof(kb_SUMOcache_505,axiom,(+ s__instance(s__distributes__m,s__Entity) )).++fof(kb_SUMOcache_506,axiom,(+ s__instance(s__Horizontal,s__Attribute) )).++fof(kb_SUMOcache_507,axiom,(+ s__instance(s__Horizontal,s__RelationalAttribute) )).++fof(kb_SUMOcache_508,axiom,(+ s__instance(s__RelationalAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_509,axiom,(+ s__instance(s__Horizontal,s__Entity) )).++fof(kb_SUMOcache_510,axiom,(+ s__instance(s__Horizontal,s__Abstract) )).++fof(kb_SUMOcache_511,axiom,(+ s__instance(s__domainSubclass__m,s__Relation) )).++fof(kb_SUMOcache_512,axiom,(+ s__instance(s__domainSubclass__m,s__InheritableRelation) )).++fof(kb_SUMOcache_513,axiom,(+ s__instance(s__domainSubclass__m,s__TernaryRelation) )).++fof(kb_SUMOcache_514,axiom,(+ s__instance(s__domainSubclass__m,s__Predicate) )).++fof(kb_SUMOcache_515,axiom,(+ s__instance(s__domainSubclass__m,s__Abstract) )).++fof(kb_SUMOcache_516,axiom,(+ s__instance(s__domainSubclass__m,s__Entity) )).++fof(kb_SUMOcache_517,axiom,(+ s__instance(s__DensityFn__m,s__Relation) )).++fof(kb_SUMOcache_518,axiom,(+ s__instance(s__DensityFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_519,axiom,(+ s__instance(s__DensityFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_520,axiom,(+ s__instance(s__DensityFn__m,s__Function) )).++fof(kb_SUMOcache_521,axiom,(+ s__instance(s__DensityFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_522,axiom,(+ s__instance(s__DensityFn__m,s__BinaryFunction) )).++fof(kb_SUMOcache_523,axiom,(+ s__instance(s__BinaryFunction__t,s__SetOrClass) )).++fof(kb_SUMOcache_524,axiom,(+ s__instance(s__DensityFn__m,s__Abstract) )).++fof(kb_SUMOcache_525,axiom,(+ s__instance(s__DensityFn__m,s__Entity) )).++fof(kb_SUMOcache_526,axiom,(+ s__instance(s__WeekDuration,s__Quantity) )).++fof(kb_SUMOcache_527,axiom,(+ s__instance(s__WeekDuration,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_528,axiom,(+ s__instance(s__WeekDuration,s__UnitOfMeasure) )).++fof(kb_SUMOcache_529,axiom,(+ s__instance(s__WeekDuration,s__PhysicalQuantity) )).++fof(kb_SUMOcache_530,axiom,(+ s__instance(s__WeekDuration,s__Abstract) )).++fof(kb_SUMOcache_531,axiom,(+ s__instance(s__WeekDuration,s__Entity) )).++fof(kb_SUMOcache_532,axiom,(+ s__instance(s__North,s__Attribute) )).++fof(kb_SUMOcache_533,axiom,(+ s__instance(s__North,s__PositionalAttribute) )).++fof(kb_SUMOcache_534,axiom,(+ s__instance(s__North,s__RelationalAttribute) )).++fof(kb_SUMOcache_535,axiom,(+ s__instance(s__North,s__Entity) )).++fof(kb_SUMOcache_536,axiom,(+ s__instance(s__North,s__Abstract) )).++fof(kb_SUMOcache_537,axiom,(+ s__instance(s__MegaFn__m,s__TotalValuedRelation) )).++fof(kb_SUMOcache_538,axiom,(+ s__instance(s__TotalValuedRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_539,axiom,(+ s__instance(s__MegaFn__m,s__Relation) )).++fof(kb_SUMOcache_540,axiom,(+ s__instance(s__MegaFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_541,axiom,(+ s__instance(s__MegaFn__m,s__Function) )).++fof(kb_SUMOcache_542,axiom,(+ s__instance(s__MegaFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_543,axiom,(+ s__instance(s__MegaFn__m,s__UnaryFunction) )).++fof(kb_SUMOcache_544,axiom,(+ s__instance(s__UnaryFunction__t,s__SetOrClass) )).++fof(kb_SUMOcache_545,axiom,(+ s__instance(s__MegaFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_546,axiom,(+ s__instance(s__MegaFn__m,s__Entity) )).++fof(kb_SUMOcache_547,axiom,(+ s__instance(s__MegaFn__m,s__Abstract) )).++fof(kb_SUMOcache_548,axiom,(+ s__instance(s__InchMercury,s__Quantity) )).++fof(kb_SUMOcache_549,axiom,(+ s__instance(s__InchMercury,s__UnitOfMeasure) )).++fof(kb_SUMOcache_550,axiom,(+ s__instance(s__InchMercury,s__CompositeUnitOfMeasure) )).++fof(kb_SUMOcache_551,axiom,(+ s__instance(s__InchMercury,s__PhysicalQuantity) )).++fof(kb_SUMOcache_552,axiom,(+ s__instance(s__InchMercury,s__Abstract) )).++fof(kb_SUMOcache_553,axiom,(+ s__instance(s__InchMercury,s__Entity) )).++fof(kb_SUMOcache_554,axiom,(+ s__instance(s__subrelation__m,s__Relation) )).++fof(kb_SUMOcache_555,axiom,(+ s__instance(s__subrelation__m,s__InheritableRelation) )).++fof(kb_SUMOcache_556,axiom,(+ s__instance(s__subrelation__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_557,axiom,(+ s__instance(s__subrelation__m,s__Predicate) )).++fof(kb_SUMOcache_558,axiom,(+ s__instance(s__subrelation__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_559,axiom,(+ s__instance(s__subrelation__m,s__BinaryRelation) )).++fof(kb_SUMOcache_560,axiom,(+ s__instance(s__subrelation__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_561,axiom,(+ s__instance(s__subrelation__m,s__Abstract) )).++fof(kb_SUMOcache_562,axiom,(+ s__instance(s__subrelation__m,s__Entity) )).++fof(kb_SUMOcache_563,axiom,(+ s__instance(s__geometricDistance__m,s__Relation) )).++fof(kb_SUMOcache_564,axiom,(+ s__instance(s__geometricDistance__m,s__InheritableRelation) )).++fof(kb_SUMOcache_565,axiom,(+ s__instance(s__geometricDistance__m,s__TernaryRelation) )).++fof(kb_SUMOcache_566,axiom,(+ s__instance(s__geometricDistance__m,s__Predicate) )).++fof(kb_SUMOcache_567,axiom,(+ s__instance(s__geometricDistance__m,s__Abstract) )).++fof(kb_SUMOcache_568,axiom,(+ s__instance(s__geometricDistance__m,s__Entity) )).++fof(kb_SUMOcache_569,axiom,(+ s__instance(s__RecurrentTimeIntervalFn__m,s__Relation) )).++fof(kb_SUMOcache_570,axiom,(+ s__instance(s__RecurrentTimeIntervalFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_571,axiom,(+ s__instance(s__RecurrentTimeIntervalFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_572,axiom,(+ s__instance(s__RecurrentTimeIntervalFn__m,s__Function) )).++fof(kb_SUMOcache_573,axiom,(+ s__instance(s__RecurrentTimeIntervalFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_574,axiom,(+ s__instance(s__RecurrentTimeIntervalFn__m,s__Abstract) )).++fof(kb_SUMOcache_575,axiom,(+ s__instance(s__RecurrentTimeIntervalFn__m,s__Entity) )).++fof(kb_SUMOcache_576,axiom,(+ s__instance(s__agent__m,s__Relation) )).++fof(kb_SUMOcache_577,axiom,(+ s__instance(s__agent__m,s__InheritableRelation) )).++fof(kb_SUMOcache_578,axiom,(+ s__instance(s__agent__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_579,axiom,(+ s__instance(s__agent__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_580,axiom,(+ s__instance(s__agent__m,s__Predicate) )).++fof(kb_SUMOcache_581,axiom,(+ s__instance(s__agent__m,s__BinaryPredicate) )).++fof(kb_SUMOcache_582,axiom,(+ s__instance(s__agent__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_583,axiom,(+ s__instance(s__agent__m,s__BinaryRelation) )).++fof(kb_SUMOcache_584,axiom,(+ s__instance(s__agent__m,s__Abstract) )).++fof(kb_SUMOcache_585,axiom,(+ s__instance(s__agent__m,s__Entity) )).++fof(kb_SUMOcache_586,axiom,(+ s__instance(s__Gray,s__Quantity) )).++fof(kb_SUMOcache_587,axiom,(+ s__instance(s__Gray,s__UnitOfMeasure) )).++fof(kb_SUMOcache_588,axiom,(+ s__instance(s__Gray,s__PhysicalQuantity) )).++fof(kb_SUMOcache_589,axiom,(+ s__instance(s__Gray,s__Abstract) )).++fof(kb_SUMOcache_590,axiom,(+ s__instance(s__Gray,s__Entity) )).++fof(kb_SUMOcache_591,axiom,(+ s__instance(s__CenterOfCircleFn__m,s__Relation) )).++fof(kb_SUMOcache_592,axiom,(+ s__instance(s__CenterOfCircleFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_593,axiom,(+ s__instance(s__CenterOfCircleFn__m,s__Function) )).++fof(kb_SUMOcache_594,axiom,(+ s__instance(s__CenterOfCircleFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_595,axiom,(+ s__instance(s__CenterOfCircleFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_596,axiom,(+ s__instance(s__CenterOfCircleFn__m,s__Abstract) )).++fof(kb_SUMOcache_597,axiom,(+ s__instance(s__CenterOfCircleFn__m,s__Entity) )).++fof(kb_SUMOcache_598,axiom,(+ s__instance(s__Ohm,s__Quantity) )).++fof(kb_SUMOcache_599,axiom,(+ s__instance(s__Ohm,s__UnitOfMeasure) )).++fof(kb_SUMOcache_600,axiom,(+ s__instance(s__Ohm,s__PhysicalQuantity) )).++fof(kb_SUMOcache_601,axiom,(+ s__instance(s__Ohm,s__Abstract) )).++fof(kb_SUMOcache_602,axiom,(+ s__instance(s__Ohm,s__Entity) )).++fof(kb_SUMOcache_603,axiom,(+ s__instance(s__monetaryValue__m,s__Relation) )).++fof(kb_SUMOcache_604,axiom,(+ s__instance(s__monetaryValue__m,s__InheritableRelation) )).++fof(kb_SUMOcache_605,axiom,(+ s__instance(s__monetaryValue__m,s__Predicate) )).++fof(kb_SUMOcache_606,axiom,(+ s__instance(s__monetaryValue__m,s__BinaryRelation) )).++fof(kb_SUMOcache_607,axiom,(+ s__instance(s__monetaryValue__m,s__Abstract) )).++fof(kb_SUMOcache_608,axiom,(+ s__instance(s__monetaryValue__m,s__Entity) )).++fof(kb_SUMOcache_609,axiom,(+ s__instance(s__names__m,s__Relation) )).++fof(kb_SUMOcache_610,axiom,(+ s__instance(s__names__m,s__InheritableRelation) )).++fof(kb_SUMOcache_611,axiom,(+ s__instance(s__names__m,s__Predicate) )).++fof(kb_SUMOcache_612,axiom,(+ s__instance(s__names__m,s__BinaryRelation) )).++fof(kb_SUMOcache_613,axiom,(+ s__instance(s__names__m,s__Abstract) )).++fof(kb_SUMOcache_614,axiom,(+ s__instance(s__names__m,s__Entity) )).++fof(kb_SUMOcache_615,axiom,(+ s__instance(s__TangentFn__m,s__Relation) )).++fof(kb_SUMOcache_616,axiom,(+ s__instance(s__TangentFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_617,axiom,(+ s__instance(s__TangentFn__m,s__Function) )).++fof(kb_SUMOcache_618,axiom,(+ s__instance(s__TangentFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_619,axiom,(+ s__instance(s__TangentFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_620,axiom,(+ s__instance(s__TangentFn__m,s__Abstract) )).++fof(kb_SUMOcache_621,axiom,(+ s__instance(s__TangentFn__m,s__Entity) )).++fof(kb_SUMOcache_622,axiom,(+ s__instance(s__Cup,s__Quantity) )).++fof(kb_SUMOcache_623,axiom,(+ s__instance(s__Cup,s__UnitOfMeasure) )).++fof(kb_SUMOcache_624,axiom,(+ s__instance(s__Cup,s__CompositeUnitOfMeasure) )).++fof(kb_SUMOcache_625,axiom,(+ s__instance(s__Cup,s__PhysicalQuantity) )).++fof(kb_SUMOcache_626,axiom,(+ s__instance(s__Cup,s__Abstract) )).++fof(kb_SUMOcache_627,axiom,(+ s__instance(s__Cup,s__Entity) )).++fof(kb_SUMOcache_628,axiom,(+ s__instance(s__wears__m,s__Relation) )).++fof(kb_SUMOcache_629,axiom,(+ s__instance(s__wears__m,s__InheritableRelation) )).++fof(kb_SUMOcache_630,axiom,(+ s__instance(s__wears__m,s__Predicate) )).++fof(kb_SUMOcache_631,axiom,(+ s__instance(s__wears__m,s__BinaryRelation) )).++fof(kb_SUMOcache_632,axiom,(+ s__instance(s__wears__m,s__Abstract) )).++fof(kb_SUMOcache_633,axiom,(+ s__instance(s__wears__m,s__Entity) )).++fof(kb_SUMOcache_634,axiom,(+ s__instance(s__Wet,s__Attribute) )).++fof(kb_SUMOcache_635,axiom,(+ s__instance(s__Wet,s__InternalAttribute) )).++fof(kb_SUMOcache_636,axiom,(+ s__instance(s__Wet,s__Abstract) )).++fof(kb_SUMOcache_637,axiom,(+ s__instance(s__Wet,s__Entity) )).++fof(kb_SUMOcache_638,axiom,(+ s__instance(s__eventPartlyLocated__m,s__Relation) )).++fof(kb_SUMOcache_639,axiom,(+ s__instance(s__eventPartlyLocated__m,s__InheritableRelation) )).++fof(kb_SUMOcache_640,axiom,(+ s__instance(s__eventPartlyLocated__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_641,axiom,(+ s__instance(s__eventPartlyLocated__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_642,axiom,(+ s__instance(s__eventPartlyLocated__m,s__Predicate) )).++fof(kb_SUMOcache_643,axiom,(+ s__instance(s__eventPartlyLocated__m,s__BinaryPredicate) )).++fof(kb_SUMOcache_644,axiom,(+ s__instance(s__eventPartlyLocated__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_645,axiom,(+ s__instance(s__AsymmetricRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_646,axiom,(+ s__instance(s__eventPartlyLocated__m,s__BinaryRelation) )).++fof(kb_SUMOcache_647,axiom,(+ s__instance(s__eventPartlyLocated__m,s__Abstract) )).++fof(kb_SUMOcache_648,axiom,(+ s__instance(s__eventPartlyLocated__m,s__Entity) )).++fof(kb_SUMOcache_649,axiom,(+ s__instance(s__measure__m,s__Relation) )).++fof(kb_SUMOcache_650,axiom,(+ s__instance(s__measure__m,s__InheritableRelation) )).++fof(kb_SUMOcache_651,axiom,(+ s__instance(s__measure__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_652,axiom,(+ s__instance(s__measure__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_653,axiom,(+ s__instance(s__measure__m,s__Predicate) )).++fof(kb_SUMOcache_654,axiom,(+ s__instance(s__measure__m,s__BinaryRelation) )).++fof(kb_SUMOcache_655,axiom,(+ s__instance(s__measure__m,s__Abstract) )).++fof(kb_SUMOcache_656,axiom,(+ s__instance(s__measure__m,s__Entity) )).++fof(kb_SUMOcache_657,axiom,(+ s__instance(s__frequency__m,s__Relation) )).++fof(kb_SUMOcache_658,axiom,(+ s__instance(s__frequency__m,s__InheritableRelation) )).++fof(kb_SUMOcache_659,axiom,(+ s__instance(s__frequency__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_660,axiom,(+ s__instance(s__frequency__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_661,axiom,(+ s__instance(s__frequency__m,s__Predicate) )).++fof(kb_SUMOcache_662,axiom,(+ s__instance(s__frequency__m,s__BinaryRelation) )).++fof(kb_SUMOcache_663,axiom,(+ s__instance(s__frequency__m,s__Abstract) )).++fof(kb_SUMOcache_664,axiom,(+ s__instance(s__frequency__m,s__Entity) )).++fof(kb_SUMOcache_665,axiom,(+ s__instance(s__husband__m,s__Relation) )).++fof(kb_SUMOcache_666,axiom,(+ s__instance(s__husband__m,s__InheritableRelation) )).++fof(kb_SUMOcache_667,axiom,(+ s__instance(s__husband__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_668,axiom,(+ s__instance(s__husband__m,s__Predicate) )).++fof(kb_SUMOcache_669,axiom,(+ s__instance(s__husband__m,s__BinaryRelation) )).++fof(kb_SUMOcache_670,axiom,(+ s__instance(s__husband__m,s__Entity) )).++fof(kb_SUMOcache_671,axiom,(+ s__instance(s__husband__m,s__Abstract) )).++fof(kb_SUMOcache_672,axiom,(+ s__instance(s__interiorPart__m,s__Relation) )).++fof(kb_SUMOcache_673,axiom,(+ s__instance(s__interiorPart__m,s__InheritableRelation) )).++fof(kb_SUMOcache_674,axiom,(+ s__instance(s__interiorPart__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_675,axiom,(+ s__instance(s__interiorPart__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_676,axiom,(+ s__instance(s__interiorPart__m,s__Predicate) )).++fof(kb_SUMOcache_677,axiom,(+ s__instance(s__interiorPart__m,s__BinaryRelation) )).++fof(kb_SUMOcache_678,axiom,(+ s__instance(s__interiorPart__m,s__Abstract) )).++fof(kb_SUMOcache_679,axiom,(+ s__instance(s__interiorPart__m,s__Entity) )).++fof(kb_SUMOcache_680,axiom,(+ s__instance(s__CeilingFn__m,s__Relation) )).++fof(kb_SUMOcache_681,axiom,(+ s__instance(s__CeilingFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_682,axiom,(+ s__instance(s__CeilingFn__m,s__Function) )).++fof(kb_SUMOcache_683,axiom,(+ s__instance(s__Function__t,s__SetOrClass) )).++fof(kb_SUMOcache_684,axiom,(+ s__instance(s__CeilingFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_685,axiom,(+ s__instance(s__CeilingFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_686,axiom,(+ s__instance(s__CeilingFn__m,s__Abstract) )).++fof(kb_SUMOcache_687,axiom,(+ s__instance(s__CeilingFn__m,s__Entity) )).++fof(kb_SUMOcache_688,axiom,(+ s__instance(s__sister__m,s__Relation) )).++fof(kb_SUMOcache_689,axiom,(+ s__instance(s__sister__m,s__InheritableRelation) )).++fof(kb_SUMOcache_690,axiom,(+ s__instance(s__sister__m,s__Predicate) )).++fof(kb_SUMOcache_691,axiom,(+ s__instance(s__sister__m,s__BinaryRelation) )).++fof(kb_SUMOcache_692,axiom,(+ s__instance(s__sister__m,s__Entity) )).++fof(kb_SUMOcache_693,axiom,(+ s__instance(s__sister__m,s__Abstract) )).++fof(kb_SUMOcache_694,axiom,(+ s__instance(s__RationalNumberFn__m,s__Relation) )).++fof(kb_SUMOcache_695,axiom,(+ s__instance(s__RationalNumberFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_696,axiom,(+ s__instance(s__RationalNumberFn__m,s__Function) )).++fof(kb_SUMOcache_697,axiom,(+ s__instance(s__RationalNumberFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_698,axiom,(+ s__instance(s__RationalNumberFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_699,axiom,(+ s__instance(s__RationalNumberFn__m,s__Abstract) )).++fof(kb_SUMOcache_700,axiom,(+ s__instance(s__RationalNumberFn__m,s__Entity) )).++fof(kb_SUMOcache_701,axiom,(+ s__instance(s__PoundForce,s__Quantity) )).++fof(kb_SUMOcache_702,axiom,(+ s__instance(s__PoundForce,s__UnitOfMeasure) )).++fof(kb_SUMOcache_703,axiom,(+ s__instance(s__PoundForce,s__PhysicalQuantity) )).++fof(kb_SUMOcache_704,axiom,(+ s__instance(s__PoundForce,s__Abstract) )).++fof(kb_SUMOcache_705,axiom,(+ s__instance(s__PoundForce,s__Entity) )).++fof(kb_SUMOcache_706,axiom,(+ s__instance(s__InitialNodeFn__m,s__Relation) )).++fof(kb_SUMOcache_707,axiom,(+ s__instance(s__InitialNodeFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_708,axiom,(+ s__instance(s__InitialNodeFn__m,s__Function) )).++fof(kb_SUMOcache_709,axiom,(+ s__instance(s__InitialNodeFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_710,axiom,(+ s__instance(s__InitialNodeFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_711,axiom,(+ s__instance(s__InitialNodeFn__m,s__Abstract) )).++fof(kb_SUMOcache_712,axiom,(+ s__instance(s__InitialNodeFn__m,s__Entity) )).++fof(kb_SUMOcache_713,axiom,(+ s__instance(s__mutualAcquaintance__m,s__Relation) )).++fof(kb_SUMOcache_714,axiom,(+ s__instance(s__mutualAcquaintance__m,s__InheritableRelation) )).++fof(kb_SUMOcache_715,axiom,(+ s__instance(s__mutualAcquaintance__m,s__Predicate) )).++fof(kb_SUMOcache_716,axiom,(+ s__instance(s__mutualAcquaintance__m,s__BinaryRelation) )).++fof(kb_SUMOcache_717,axiom,(+ s__instance(s__mutualAcquaintance__m,s__Abstract) )).++fof(kb_SUMOcache_718,axiom,(+ s__instance(s__mutualAcquaintance__m,s__Entity) )).++fof(kb_SUMOcache_719,axiom,(+ s__instance(s__subsumesContentClass__m,s__Relation) )).++fof(kb_SUMOcache_720,axiom,(+ s__instance(s__subsumesContentClass__m,s__InheritableRelation) )).++fof(kb_SUMOcache_721,axiom,(+ s__instance(s__subsumesContentClass__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_722,axiom,(+ s__instance(s__subsumesContentClass__m,s__Predicate) )).++fof(kb_SUMOcache_723,axiom,(+ s__instance(s__subsumesContentClass__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_724,axiom,(+ s__instance(s__subsumesContentClass__m,s__BinaryRelation) )).++fof(kb_SUMOcache_725,axiom,(+ s__instance(s__subsumesContentClass__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_726,axiom,(+ s__instance(s__subsumesContentClass__m,s__Abstract) )).++fof(kb_SUMOcache_727,axiom,(+ s__instance(s__subsumesContentClass__m,s__Entity) )).++fof(kb_SUMOcache_728,axiom,(+ s__instance(s__AngularDegree,s__Quantity) )).++fof(kb_SUMOcache_729,axiom,(+ s__instance(s__AngularDegree,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_730,axiom,(+ s__instance(s__AngularDegree,s__UnitOfMeasure) )).++fof(kb_SUMOcache_731,axiom,(+ s__instance(s__AngularDegree,s__PhysicalQuantity) )).++fof(kb_SUMOcache_732,axiom,(+ s__instance(s__AngularDegree,s__Abstract) )).++fof(kb_SUMOcache_733,axiom,(+ s__instance(s__AngularDegree,s__Entity) )).++fof(kb_SUMOcache_734,axiom,(+ s__instance(s__MonthFn__m,s__Relation) )).++fof(kb_SUMOcache_735,axiom,(+ s__instance(s__MonthFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_736,axiom,(+ s__instance(s__MonthFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_737,axiom,(+ s__instance(s__MonthFn__m,s__Function) )).++fof(kb_SUMOcache_738,axiom,(+ s__instance(s__MonthFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_739,axiom,(+ s__instance(s__MonthFn__m,s__Abstract) )).++fof(kb_SUMOcache_740,axiom,(+ s__instance(s__MonthFn__m,s__Entity) )).++fof(kb_SUMOcache_741,axiom,(+ s__instance(s__grasps__m,s__Relation) )).++fof(kb_SUMOcache_742,axiom,(+ s__instance(s__grasps__m,s__InheritableRelation) )).++fof(kb_SUMOcache_743,axiom,(+ s__instance(s__grasps__m,s__Predicate) )).++fof(kb_SUMOcache_744,axiom,(+ s__instance(s__grasps__m,s__BinaryRelation) )).++fof(kb_SUMOcache_745,axiom,(+ s__instance(s__grasps__m,s__Abstract) )).++fof(kb_SUMOcache_746,axiom,(+ s__instance(s__grasps__m,s__Entity) )).++fof(kb_SUMOcache_747,axiom,(+ s__instance(s__prefers__m,s__Relation) )).++fof(kb_SUMOcache_748,axiom,(+ s__instance(s__prefers__m,s__InheritableRelation) )).++fof(kb_SUMOcache_749,axiom,(+ s__instance(s__prefers__m,s__TernaryRelation) )).++fof(kb_SUMOcache_750,axiom,(+ s__instance(s__prefers__m,s__Predicate) )).++fof(kb_SUMOcache_751,axiom,(+ s__instance(s__prefers__m,s__Abstract) )).++fof(kb_SUMOcache_752,axiom,(+ s__instance(s__prefers__m,s__Entity) )).++fof(kb_SUMOcache_753,axiom,(+ s__instance(s__exactlyLocated__m,s__Relation) )).++fof(kb_SUMOcache_754,axiom,(+ s__instance(s__exactlyLocated__m,s__InheritableRelation) )).++fof(kb_SUMOcache_755,axiom,(+ s__instance(s__exactlyLocated__m,s__Predicate) )).++fof(kb_SUMOcache_756,axiom,(+ s__instance(s__exactlyLocated__m,s__BinaryRelation) )).++fof(kb_SUMOcache_757,axiom,(+ s__instance(s__exactlyLocated__m,s__Abstract) )).++fof(kb_SUMOcache_758,axiom,(+ s__instance(s__exactlyLocated__m,s__Entity) )).++fof(kb_SUMOcache_759,axiom,(+ s__instance(s__parallel__m,s__Relation) )).++fof(kb_SUMOcache_760,axiom,(+ s__instance(s__parallel__m,s__InheritableRelation) )).++fof(kb_SUMOcache_761,axiom,(+ s__instance(s__parallel__m,s__Predicate) )).++fof(kb_SUMOcache_762,axiom,(+ s__instance(s__parallel__m,s__BinaryRelation) )).++fof(kb_SUMOcache_763,axiom,(+ s__instance(s__parallel__m,s__Abstract) )).++fof(kb_SUMOcache_764,axiom,(+ s__instance(s__parallel__m,s__Entity) )).++fof(kb_SUMOcache_765,axiom,(+ s__instance(s__diameter__m,s__Relation) )).++fof(kb_SUMOcache_766,axiom,(+ s__instance(s__diameter__m,s__InheritableRelation) )).++fof(kb_SUMOcache_767,axiom,(+ s__instance(s__diameter__m,s__Predicate) )).++fof(kb_SUMOcache_768,axiom,(+ s__instance(s__diameter__m,s__BinaryRelation) )).++fof(kb_SUMOcache_769,axiom,(+ s__instance(s__diameter__m,s__Abstract) )).++fof(kb_SUMOcache_770,axiom,(+ s__instance(s__diameter__m,s__Entity) )).++fof(kb_SUMOcache_771,axiom,(+ s__instance(s__Entity__t,s__SetOrClass) )).++fof(kb_SUMOcache_772,axiom,(+ s__instance(s__UnitedStatesCent,s__Quantity) )).++fof(kb_SUMOcache_773,axiom,(+ s__instance(s__UnitedStatesCent,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_774,axiom,(+ s__instance(s__UnitedStatesCent,s__UnitOfMeasure) )).++fof(kb_SUMOcache_775,axiom,(+ s__instance(s__UnitedStatesCent,s__PhysicalQuantity) )).++fof(kb_SUMOcache_776,axiom,(+ s__instance(s__UnitedStatesCent,s__Abstract) )).++fof(kb_SUMOcache_777,axiom,(+ s__instance(s__UnitedStatesCent,s__Entity) )).++fof(kb_SUMOcache_778,axiom,(+ s__instance(s__Siemens,s__Quantity) )).++fof(kb_SUMOcache_779,axiom,(+ s__instance(s__Siemens,s__UnitOfMeasure) )).++fof(kb_SUMOcache_780,axiom,(+ s__instance(s__Siemens,s__PhysicalQuantity) )).++fof(kb_SUMOcache_781,axiom,(+ s__instance(s__Siemens,s__Abstract) )).++fof(kb_SUMOcache_782,axiom,(+ s__instance(s__Siemens,s__Entity) )).++fof(kb_SUMOcache_783,axiom,(+ s__instance(s__CentralTimeZone,s__Attribute) )).++fof(kb_SUMOcache_784,axiom,(+ s__instance(s__CentralTimeZone,s__RelationalAttribute) )).++fof(kb_SUMOcache_785,axiom,(+ s__instance(s__CentralTimeZone,s__Entity) )).++fof(kb_SUMOcache_786,axiom,(+ s__instance(s__CentralTimeZone,s__Abstract) )).++fof(kb_SUMOcache_787,axiom,(+ s__instance(s__PositiveInfinity,s__Quantity) )).++fof(kb_SUMOcache_788,axiom,(+ s__instance(s__PositiveInfinity,s__ConstantQuantity) )).++fof(kb_SUMOcache_789,axiom,(+ s__instance(s__PositiveInfinity,s__TimeMeasure) )).++fof(kb_SUMOcache_790,axiom,(+ s__instance(s__PositiveInfinity,s__TimePosition) )).++fof(kb_SUMOcache_791,axiom,(+ s__instance(s__PositiveInfinity,s__Abstract) )).++fof(kb_SUMOcache_792,axiom,(+ s__instance(s__PositiveInfinity,s__PhysicalQuantity) )).++fof(kb_SUMOcache_793,axiom,(+ s__instance(s__PositiveInfinity,s__Entity) )).++fof(kb_SUMOcache_794,axiom,(+ s__instance(s__manner__m,s__Relation) )).++fof(kb_SUMOcache_795,axiom,(+ s__instance(s__manner__m,s__InheritableRelation) )).++fof(kb_SUMOcache_796,axiom,(+ s__instance(s__manner__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_797,axiom,(+ s__instance(s__manner__m,s__Predicate) )).++fof(kb_SUMOcache_798,axiom,(+ s__instance(s__manner__m,s__BinaryRelation) )).++fof(kb_SUMOcache_799,axiom,(+ s__instance(s__manner__m,s__Entity) )).++fof(kb_SUMOcache_800,axiom,(+ s__instance(s__manner__m,s__Abstract) )).++fof(kb_SUMOcache_801,axiom,(+ s__instance(s__connectedEngineeringComponents__m,s__Relation) )).++fof(kb_SUMOcache_802,axiom,(+ s__instance(s__connectedEngineeringComponents__m,s__InheritableRelation) )).++fof(kb_SUMOcache_803,axiom,(+ s__instance(s__connectedEngineeringComponents__m,s__Predicate) )).++fof(kb_SUMOcache_804,axiom,(+ s__instance(s__connectedEngineeringComponents__m,s__BinaryRelation) )).++fof(kb_SUMOcache_805,axiom,(+ s__instance(s__connectedEngineeringComponents__m,s__Entity) )).++fof(kb_SUMOcache_806,axiom,(+ s__instance(s__connectedEngineeringComponents__m,s__Abstract) )).++fof(kb_SUMOcache_807,axiom,(+ s__instance(s__PerFn__m,s__Relation) )).++fof(kb_SUMOcache_808,axiom,(+ s__instance(s__PerFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_809,axiom,(+ s__instance(s__PerFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_810,axiom,(+ s__instance(s__PerFn__m,s__Function) )).++fof(kb_SUMOcache_811,axiom,(+ s__instance(s__PerFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_812,axiom,(+ s__instance(s__PerFn__m,s__Abstract) )).++fof(kb_SUMOcache_813,axiom,(+ s__instance(s__PerFn__m,s__Entity) )).++fof(kb_SUMOcache_814,axiom,(+ s__instance(s__Pliable,s__Attribute) )).++fof(kb_SUMOcache_815,axiom,(+ s__instance(s__Pliable,s__Abstract) )).++fof(kb_SUMOcache_816,axiom,(+ s__instance(s__Pliable,s__Entity) )).++fof(kb_SUMOcache_817,axiom,(+ s__instance(s__crosses__m,s__Relation) )).++fof(kb_SUMOcache_818,axiom,(+ s__instance(s__crosses__m,s__InheritableRelation) )).++fof(kb_SUMOcache_819,axiom,(+ s__instance(s__crosses__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_820,axiom,(+ s__instance(s__crosses__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_821,axiom,(+ s__instance(s__crosses__m,s__Predicate) )).++fof(kb_SUMOcache_822,axiom,(+ s__instance(s__crosses__m,s__BinaryRelation) )).++fof(kb_SUMOcache_823,axiom,(+ s__instance(s__crosses__m,s__Abstract) )).++fof(kb_SUMOcache_824,axiom,(+ s__instance(s__crosses__m,s__Entity) )).++fof(kb_SUMOcache_825,axiom,(+ s__instance(s__engineeringSubcomponent__m,s__Relation) )).++fof(kb_SUMOcache_826,axiom,(+ s__instance(s__engineeringSubcomponent__m,s__InheritableRelation) )).++fof(kb_SUMOcache_827,axiom,(+ s__instance(s__engineeringSubcomponent__m,s__Predicate) )).++fof(kb_SUMOcache_828,axiom,(+ s__instance(s__engineeringSubcomponent__m,s__BinaryRelation) )).++fof(kb_SUMOcache_829,axiom,(+ s__instance(s__engineeringSubcomponent__m,s__Abstract) )).++fof(kb_SUMOcache_830,axiom,(+ s__instance(s__engineeringSubcomponent__m,s__Entity) )).++fof(kb_SUMOcache_831,axiom,(+ s__instance(s__ListOrderFn__m,s__Relation) )).++fof(kb_SUMOcache_832,axiom,(+ s__instance(s__ListOrderFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_833,axiom,(+ s__instance(s__ListOrderFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_834,axiom,(+ s__instance(s__ListOrderFn__m,s__Function) )).++fof(kb_SUMOcache_835,axiom,(+ s__instance(s__ListOrderFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_836,axiom,(+ s__instance(s__ListOrderFn__m,s__Abstract) )).++fof(kb_SUMOcache_837,axiom,(+ s__instance(s__ListOrderFn__m,s__Entity) )).++fof(kb_SUMOcache_838,axiom,(+ s__instance(s__pointOfIntersection__m,s__Relation) )).++fof(kb_SUMOcache_839,axiom,(+ s__instance(s__pointOfIntersection__m,s__InheritableRelation) )).++fof(kb_SUMOcache_840,axiom,(+ s__instance(s__pointOfIntersection__m,s__TernaryRelation) )).++fof(kb_SUMOcache_841,axiom,(+ s__instance(s__pointOfIntersection__m,s__Predicate) )).++fof(kb_SUMOcache_842,axiom,(+ s__instance(s__pointOfIntersection__m,s__Abstract) )).++fof(kb_SUMOcache_843,axiom,(+ s__instance(s__pointOfIntersection__m,s__Entity) )).++fof(kb_SUMOcache_844,axiom,(+ s__instance(s__Henry,s__Quantity) )).++fof(kb_SUMOcache_845,axiom,(+ s__instance(s__Henry,s__UnitOfMeasure) )).++fof(kb_SUMOcache_846,axiom,(+ s__instance(s__Henry,s__PhysicalQuantity) )).++fof(kb_SUMOcache_847,axiom,(+ s__instance(s__Henry,s__Abstract) )).++fof(kb_SUMOcache_848,axiom,(+ s__instance(s__Henry,s__Entity) )).++fof(kb_SUMOcache_849,axiom,(+ s__instance(s__hasPurpose__m,s__Relation) )).++fof(kb_SUMOcache_850,axiom,(+ s__instance(s__hasPurpose__m,s__InheritableRelation) )).++fof(kb_SUMOcache_851,axiom,(+ s__instance(s__hasPurpose__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_852,axiom,(+ s__instance(s__hasPurpose__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_853,axiom,(+ s__instance(s__hasPurpose__m,s__Predicate) )).++fof(kb_SUMOcache_854,axiom,(+ s__instance(s__hasPurpose__m,s__BinaryRelation) )).++fof(kb_SUMOcache_855,axiom,(+ s__instance(s__hasPurpose__m,s__Abstract) )).++fof(kb_SUMOcache_856,axiom,(+ s__instance(s__hasPurpose__m,s__Entity) )).++fof(kb_SUMOcache_857,axiom,(+ s__instance(s__confersRight__m,s__Relation) )).++fof(kb_SUMOcache_858,axiom,(+ s__instance(s__confersRight__m,s__InheritableRelation) )).++fof(kb_SUMOcache_859,axiom,(+ s__instance(s__confersRight__m,s__TernaryRelation) )).++fof(kb_SUMOcache_860,axiom,(+ s__instance(s__confersRight__m,s__Predicate) )).++fof(kb_SUMOcache_861,axiom,(+ s__instance(s__confersRight__m,s__Abstract) )).++fof(kb_SUMOcache_862,axiom,(+ s__instance(s__confersRight__m,s__Entity) )).++fof(kb_SUMOcache_863,axiom,(+ s__instance(s__GreatestCommonDivisorFn__m,s__Relation) )).++fof(kb_SUMOcache_864,axiom,(+ s__instance(s__GreatestCommonDivisorFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_865,axiom,(+ s__instance(s__GreatestCommonDivisorFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_866,axiom,(+ s__instance(s__GreatestCommonDivisorFn__m,s__Abstract) )).++fof(kb_SUMOcache_867,axiom,(+ s__instance(s__GreatestCommonDivisorFn__m,s__Entity) )).++fof(kb_SUMOcache_868,axiom,(+ s__instance(s__rangeSubclass__m,s__Relation) )).++fof(kb_SUMOcache_869,axiom,(+ s__instance(s__rangeSubclass__m,s__InheritableRelation) )).++fof(kb_SUMOcache_870,axiom,(+ s__instance(s__rangeSubclass__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_871,axiom,(+ s__instance(s__AntisymmetricRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_872,axiom,(+ s__instance(s__rangeSubclass__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_873,axiom,(+ s__instance(s__rangeSubclass__m,s__Predicate) )).++fof(kb_SUMOcache_874,axiom,(+ s__instance(s__rangeSubclass__m,s__BinaryRelation) )).++fof(kb_SUMOcache_875,axiom,(+ s__instance(s__rangeSubclass__m,s__Abstract) )).++fof(kb_SUMOcache_876,axiom,(+ s__instance(s__rangeSubclass__m,s__Entity) )).++fof(kb_SUMOcache_877,axiom,(+ s__instance(s__connects__m,s__Relation) )).++fof(kb_SUMOcache_878,axiom,(+ s__instance(s__connects__m,s__InheritableRelation) )).++fof(kb_SUMOcache_879,axiom,(+ s__instance(s__connects__m,s__TernaryRelation) )).++fof(kb_SUMOcache_880,axiom,(+ s__instance(s__connects__m,s__Predicate) )).++fof(kb_SUMOcache_881,axiom,(+ s__instance(s__connects__m,s__Abstract) )).++fof(kb_SUMOcache_882,axiom,(+ s__instance(s__connects__m,s__Entity) )).++fof(kb_SUMOcache_883,axiom,(+ s__instance(s__capability__m,s__Relation) )).++fof(kb_SUMOcache_884,axiom,(+ s__instance(s__capability__m,s__InheritableRelation) )).++fof(kb_SUMOcache_885,axiom,(+ s__instance(s__capability__m,s__TernaryRelation) )).++fof(kb_SUMOcache_886,axiom,(+ s__instance(s__capability__m,s__Predicate) )).++fof(kb_SUMOcache_887,axiom,(+ s__instance(s__capability__m,s__Abstract) )).++fof(kb_SUMOcache_888,axiom,(+ s__instance(s__capability__m,s__Entity) )).++fof(kb_SUMOcache_889,axiom,(+ s__instance(s__element__m,s__Relation) )).++fof(kb_SUMOcache_890,axiom,(+ s__instance(s__element__m,s__InheritableRelation) )).++fof(kb_SUMOcache_891,axiom,(+ s__instance(s__element__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_892,axiom,(+ s__instance(s__element__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_893,axiom,(+ s__instance(s__element__m,s__Predicate) )).++fof(kb_SUMOcache_894,axiom,(+ s__instance(s__element__m,s__BinaryRelation) )).++fof(kb_SUMOcache_895,axiom,(+ s__instance(s__element__m,s__Abstract) )).++fof(kb_SUMOcache_896,axiom,(+ s__instance(s__element__m,s__Entity) )).++fof(kb_SUMOcache_897,axiom,(+ s__instance(s__orientation__m,s__Relation) )).++fof(kb_SUMOcache_898,axiom,(+ s__instance(s__orientation__m,s__InheritableRelation) )).++fof(kb_SUMOcache_899,axiom,(+ s__instance(s__orientation__m,s__TernaryRelation) )).++fof(kb_SUMOcache_900,axiom,(+ s__instance(s__orientation__m,s__Predicate) )).++fof(kb_SUMOcache_901,axiom,(+ s__instance(s__orientation__m,s__Abstract) )).++fof(kb_SUMOcache_902,axiom,(+ s__instance(s__orientation__m,s__Entity) )).++fof(kb_SUMOcache_903,axiom,(+ s__instance(s__exploits__m,s__Relation) )).++fof(kb_SUMOcache_904,axiom,(+ s__instance(s__exploits__m,s__InheritableRelation) )).++fof(kb_SUMOcache_905,axiom,(+ s__instance(s__exploits__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_906,axiom,(+ s__instance(s__exploits__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_907,axiom,(+ s__instance(s__exploits__m,s__Predicate) )).++fof(kb_SUMOcache_908,axiom,(+ s__instance(s__exploits__m,s__BinaryRelation) )).++fof(kb_SUMOcache_909,axiom,(+ s__instance(s__exploits__m,s__Abstract) )).++fof(kb_SUMOcache_910,axiom,(+ s__instance(s__exploits__m,s__Entity) )).++fof(kb_SUMOcache_911,axiom,(+ s__instance(s__ExtensionFn__m,s__Relation) )).++fof(kb_SUMOcache_912,axiom,(+ s__instance(s__ExtensionFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_913,axiom,(+ s__instance(s__ExtensionFn__m,s__Function) )).++fof(kb_SUMOcache_914,axiom,(+ s__instance(s__ExtensionFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_915,axiom,(+ s__instance(s__ExtensionFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_916,axiom,(+ s__instance(s__ExtensionFn__m,s__Abstract) )).++fof(kb_SUMOcache_917,axiom,(+ s__instance(s__ExtensionFn__m,s__Entity) )).++fof(kb_SUMOcache_918,axiom,(+ s__instance(s__son__m,s__Relation) )).++fof(kb_SUMOcache_919,axiom,(+ s__instance(s__son__m,s__InheritableRelation) )).++fof(kb_SUMOcache_920,axiom,(+ s__instance(s__son__m,s__Predicate) )).++fof(kb_SUMOcache_921,axiom,(+ s__instance(s__son__m,s__BinaryRelation) )).++fof(kb_SUMOcache_922,axiom,(+ s__instance(s__son__m,s__Abstract) )).++fof(kb_SUMOcache_923,axiom,(+ s__instance(s__son__m,s__Entity) )).++fof(kb_SUMOcache_924,axiom,(+ s__instance(s__destination__m,s__Relation) )).++fof(kb_SUMOcache_925,axiom,(+ s__instance(s__destination__m,s__InheritableRelation) )).++fof(kb_SUMOcache_926,axiom,(+ s__instance(s__destination__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_927,axiom,(+ s__instance(s__destination__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_928,axiom,(+ s__instance(s__destination__m,s__Predicate) )).++fof(kb_SUMOcache_929,axiom,(+ s__instance(s__destination__m,s__BinaryPredicate) )).++fof(kb_SUMOcache_930,axiom,(+ s__instance(s__destination__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_931,axiom,(+ s__instance(s__destination__m,s__BinaryRelation) )).++fof(kb_SUMOcache_932,axiom,(+ s__instance(s__destination__m,s__Abstract) )).++fof(kb_SUMOcache_933,axiom,(+ s__instance(s__destination__m,s__Entity) )).++fof(kb_SUMOcache_934,axiom,(+ s__instance(s__MereologicalDifferenceFn__m,s__Relation) )).++fof(kb_SUMOcache_935,axiom,(+ s__instance(s__MereologicalDifferenceFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_936,axiom,(+ s__instance(s__MereologicalDifferenceFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_937,axiom,(+ s__instance(s__MereologicalDifferenceFn__m,s__Function) )).++fof(kb_SUMOcache_938,axiom,(+ s__instance(s__MereologicalDifferenceFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_939,axiom,(+ s__instance(s__MereologicalDifferenceFn__m,s__Abstract) )).++fof(kb_SUMOcache_940,axiom,(+ s__instance(s__MereologicalDifferenceFn__m,s__Entity) )).++fof(kb_SUMOcache_941,axiom,(+ s__instance(s__earlier__m,s__Relation) )).++fof(kb_SUMOcache_942,axiom,(+ s__instance(s__earlier__m,s__InheritableRelation) )).++fof(kb_SUMOcache_943,axiom,(+ s__instance(s__earlier__m,s__Predicate) )).++fof(kb_SUMOcache_944,axiom,(+ s__instance(s__earlier__m,s__BinaryRelation) )).++fof(kb_SUMOcache_945,axiom,(+ s__instance(s__earlier__m,s__Abstract) )).++fof(kb_SUMOcache_946,axiom,(+ s__instance(s__earlier__m,s__Entity) )).++fof(kb_SUMOcache_947,axiom,(+ s__instance(s__relatedEvent__m,s__Relation) )).++fof(kb_SUMOcache_948,axiom,(+ s__instance(s__relatedEvent__m,s__InheritableRelation) )).++fof(kb_SUMOcache_949,axiom,(+ s__instance(s__relatedEvent__m,s__Predicate) )).++fof(kb_SUMOcache_950,axiom,(+ s__instance(s__relatedEvent__m,s__BinaryRelation) )).++fof(kb_SUMOcache_951,axiom,(+ s__instance(s__relatedEvent__m,s__Abstract) )).++fof(kb_SUMOcache_952,axiom,(+ s__instance(s__relatedEvent__m,s__Entity) )).++fof(kb_SUMOcache_953,axiom,(+ s__instance(s__Prostrate,s__BiologicalAttribute) )).++fof(kb_SUMOcache_954,axiom,(+ s__instance(s__Prostrate,s__Attribute) )).++fof(kb_SUMOcache_955,axiom,(+ s__instance(s__Prostrate,s__InternalAttribute) )).++fof(kb_SUMOcache_956,axiom,(+ s__instance(s__Prostrate,s__Abstract) )).++fof(kb_SUMOcache_957,axiom,(+ s__instance(s__Prostrate,s__Entity) )).++fof(kb_SUMOcache_958,axiom,(+ s__instance(s__containsInformation__m,s__Relation) )).++fof(kb_SUMOcache_959,axiom,(+ s__instance(s__containsInformation__m,s__InheritableRelation) )).++fof(kb_SUMOcache_960,axiom,(+ s__instance(s__containsInformation__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_961,axiom,(+ s__instance(s__containsInformation__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_962,axiom,(+ s__instance(s__containsInformation__m,s__Predicate) )).++fof(kb_SUMOcache_963,axiom,(+ s__instance(s__containsInformation__m,s__BinaryRelation) )).++fof(kb_SUMOcache_964,axiom,(+ s__instance(s__containsInformation__m,s__Abstract) )).++fof(kb_SUMOcache_965,axiom,(+ s__instance(s__containsInformation__m,s__Entity) )).++fof(kb_SUMOcache_966,axiom,(+ s__instance(s__greaterThanByQuality__m,s__Relation) )).++fof(kb_SUMOcache_967,axiom,(+ s__instance(s__greaterThanByQuality__m,s__InheritableRelation) )).++fof(kb_SUMOcache_968,axiom,(+ s__instance(s__greaterThanByQuality__m,s__TernaryRelation) )).++fof(kb_SUMOcache_969,axiom,(+ s__instance(s__greaterThanByQuality__m,s__Predicate) )).++fof(kb_SUMOcache_970,axiom,(+ s__instance(s__greaterThanByQuality__m,s__Abstract) )).++fof(kb_SUMOcache_971,axiom,(+ s__instance(s__greaterThanByQuality__m,s__Entity) )).++fof(kb_SUMOcache_972,axiom,(+ s__instance(s__boilingPoint__m,s__Relation) )).++fof(kb_SUMOcache_973,axiom,(+ s__instance(s__boilingPoint__m,s__InheritableRelation) )).++fof(kb_SUMOcache_974,axiom,(+ s__instance(s__boilingPoint__m,s__Predicate) )).++fof(kb_SUMOcache_975,axiom,(+ s__instance(s__boilingPoint__m,s__BinaryRelation) )).++fof(kb_SUMOcache_976,axiom,(+ s__instance(s__boilingPoint__m,s__Abstract) )).++fof(kb_SUMOcache_977,axiom,(+ s__instance(s__boilingPoint__m,s__Entity) )).++fof(kb_SUMOcache_978,axiom,(+ s__instance(s__comment__m,s__Relation) )).++fof(kb_SUMOcache_979,axiom,(+ s__instance(s__comment__m,s__InheritableRelation) )).++fof(kb_SUMOcache_980,axiom,(+ s__instance(s__comment__m,s__TernaryRelation) )).++fof(kb_SUMOcache_981,axiom,(+ s__instance(s__comment__m,s__Predicate) )).++fof(kb_SUMOcache_982,axiom,(+ s__instance(s__comment__m,s__Abstract) )).++fof(kb_SUMOcache_983,axiom,(+ s__instance(s__comment__m,s__Entity) )).++fof(kb_SUMOcache_984,axiom,(+ s__instance(s__home__m,s__Relation) )).++fof(kb_SUMOcache_985,axiom,(+ s__instance(s__home__m,s__InheritableRelation) )).++fof(kb_SUMOcache_986,axiom,(+ s__instance(s__home__m,s__Predicate) )).++fof(kb_SUMOcache_987,axiom,(+ s__instance(s__home__m,s__BinaryRelation) )).++fof(kb_SUMOcache_988,axiom,(+ s__instance(s__home__m,s__Abstract) )).++fof(kb_SUMOcache_989,axiom,(+ s__instance(s__home__m,s__Entity) )).++fof(kb_SUMOcache_990,axiom,(+ s__instance(s__experiencer__m,s__Relation) )).++fof(kb_SUMOcache_991,axiom,(+ s__instance(s__experiencer__m,s__InheritableRelation) )).++fof(kb_SUMOcache_992,axiom,(+ s__instance(s__experiencer__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_993,axiom,(+ s__instance(s__experiencer__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_994,axiom,(+ s__instance(s__experiencer__m,s__Predicate) )).++fof(kb_SUMOcache_995,axiom,(+ s__instance(s__experiencer__m,s__BinaryPredicate) )).++fof(kb_SUMOcache_996,axiom,(+ s__instance(s__experiencer__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_997,axiom,(+ s__instance(s__experiencer__m,s__BinaryRelation) )).++fof(kb_SUMOcache_998,axiom,(+ s__instance(s__experiencer__m,s__Abstract) )).++fof(kb_SUMOcache_999,axiom,(+ s__instance(s__experiencer__m,s__Entity) )).++fof(kb_SUMOcache_1000,axiom,(+ s__instance(s__hasSkill__m,s__Relation) )).++fof(kb_SUMOcache_1001,axiom,(+ s__instance(s__hasSkill__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1002,axiom,(+ s__instance(s__hasSkill__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1003,axiom,(+ s__instance(s__hasSkill__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1004,axiom,(+ s__instance(s__hasSkill__m,s__Predicate) )).++fof(kb_SUMOcache_1005,axiom,(+ s__instance(s__hasSkill__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1006,axiom,(+ s__instance(s__hasSkill__m,s__Abstract) )).++fof(kb_SUMOcache_1007,axiom,(+ s__instance(s__hasSkill__m,s__Entity) )).++fof(kb_SUMOcache_1008,axiom,(+ s__instance(s__uniqueIdentifier__m,s__Relation) )).++fof(kb_SUMOcache_1009,axiom,(+ s__instance(s__uniqueIdentifier__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1010,axiom,(+ s__instance(s__uniqueIdentifier__m,s__Predicate) )).++fof(kb_SUMOcache_1011,axiom,(+ s__instance(s__uniqueIdentifier__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1012,axiom,(+ s__instance(s__uniqueIdentifier__m,s__Abstract) )).++fof(kb_SUMOcache_1013,axiom,(+ s__instance(s__uniqueIdentifier__m,s__Entity) )).++fof(kb_SUMOcache_1014,axiom,(+ s__instance(s__FutureFn__m,s__Relation) )).++fof(kb_SUMOcache_1015,axiom,(+ s__instance(s__FutureFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1016,axiom,(+ s__instance(s__FutureFn__m,s__Function) )).++fof(kb_SUMOcache_1017,axiom,(+ s__instance(s__FutureFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1018,axiom,(+ s__instance(s__FutureFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1019,axiom,(+ s__instance(s__FutureFn__m,s__Abstract) )).++fof(kb_SUMOcache_1020,axiom,(+ s__instance(s__FutureFn__m,s__Entity) )).++fof(kb_SUMOcache_1021,axiom,(+ s__instance(s__overlapsTemporally__m,s__Relation) )).++fof(kb_SUMOcache_1022,axiom,(+ s__instance(s__overlapsTemporally__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1023,axiom,(+ s__instance(s__overlapsTemporally__m,s__Predicate) )).++fof(kb_SUMOcache_1024,axiom,(+ s__instance(s__overlapsTemporally__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1025,axiom,(+ s__instance(s__overlapsTemporally__m,s__Abstract) )).++fof(kb_SUMOcache_1026,axiom,(+ s__instance(s__overlapsTemporally__m,s__Entity) )).++fof(kb_SUMOcache_1027,axiom,(+ s__instance(s__Dead,s__BiologicalAttribute) )).++fof(kb_SUMOcache_1028,axiom,(+ s__instance(s__Dead,s__Attribute) )).++fof(kb_SUMOcache_1029,axiom,(+ s__instance(s__Dead,s__InternalAttribute) )).++fof(kb_SUMOcache_1030,axiom,(+ s__instance(s__Dead,s__Abstract) )).++fof(kb_SUMOcache_1031,axiom,(+ s__instance(s__Dead,s__Entity) )).++fof(kb_SUMOcache_1032,axiom,(+ s__instance(s__publishes__m,s__Relation) )).++fof(kb_SUMOcache_1033,axiom,(+ s__instance(s__publishes__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1034,axiom,(+ s__instance(s__publishes__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1035,axiom,(+ s__instance(s__publishes__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1036,axiom,(+ s__instance(s__publishes__m,s__Predicate) )).++fof(kb_SUMOcache_1037,axiom,(+ s__instance(s__publishes__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1038,axiom,(+ s__instance(s__publishes__m,s__Abstract) )).++fof(kb_SUMOcache_1039,axiom,(+ s__instance(s__publishes__m,s__Entity) )).++fof(kb_SUMOcache_1040,axiom,(+ s__instance(s__distance__m,s__Relation) )).++fof(kb_SUMOcache_1041,axiom,(+ s__instance(s__distance__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1042,axiom,(+ s__instance(s__distance__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1043,axiom,(+ s__instance(s__distance__m,s__Predicate) )).++fof(kb_SUMOcache_1044,axiom,(+ s__instance(s__distance__m,s__Abstract) )).++fof(kb_SUMOcache_1045,axiom,(+ s__instance(s__distance__m,s__Entity) )).++fof(kb_SUMOcache_1046,axiom,(+ s__instance(s__inverse__m,s__Relation) )).++fof(kb_SUMOcache_1047,axiom,(+ s__instance(s__inverse__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1048,axiom,(+ s__instance(s__inverse__m,s__Predicate) )).++fof(kb_SUMOcache_1049,axiom,(+ s__instance(s__inverse__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1050,axiom,(+ s__instance(s__inverse__m,s__Entity) )).++fof(kb_SUMOcache_1051,axiom,(+ s__instance(s__inverse__m,s__Abstract) )).++fof(kb_SUMOcache_1052,axiom,(+ s__instance(s__equivalenceRelationOn__m,s__Relation) )).++fof(kb_SUMOcache_1053,axiom,(+ s__instance(s__equivalenceRelationOn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1054,axiom,(+ s__instance(s__equivalenceRelationOn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1055,axiom,(+ s__instance(s__equivalenceRelationOn__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1056,axiom,(+ s__instance(s__equivalenceRelationOn__m,s__Predicate) )).++fof(kb_SUMOcache_1057,axiom,(+ s__instance(s__equivalenceRelationOn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1058,axiom,(+ s__instance(s__equivalenceRelationOn__m,s__Abstract) )).++fof(kb_SUMOcache_1059,axiom,(+ s__instance(s__equivalenceRelationOn__m,s__Entity) )).++fof(kb_SUMOcache_1060,axiom,(+ s__instance(s__geopoliticalSubdivision__m,s__Relation) )).++fof(kb_SUMOcache_1061,axiom,(+ s__instance(s__geopoliticalSubdivision__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1062,axiom,(+ s__instance(s__geopoliticalSubdivision__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1063,axiom,(+ s__instance(s__geopoliticalSubdivision__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1064,axiom,(+ s__instance(s__geopoliticalSubdivision__m,s__Predicate) )).++fof(kb_SUMOcache_1065,axiom,(+ s__instance(s__geopoliticalSubdivision__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1066,axiom,(+ s__instance(s__geopoliticalSubdivision__m,s__Abstract) )).++fof(kb_SUMOcache_1067,axiom,(+ s__instance(s__geopoliticalSubdivision__m,s__Entity) )).++fof(kb_SUMOcache_1068,axiom,(+ s__instance(s__SineFn__m,s__Relation) )).++fof(kb_SUMOcache_1069,axiom,(+ s__instance(s__SineFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1070,axiom,(+ s__instance(s__SineFn__m,s__Function) )).++fof(kb_SUMOcache_1071,axiom,(+ s__instance(s__SineFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1072,axiom,(+ s__instance(s__SineFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1073,axiom,(+ s__instance(s__SineFn__m,s__Abstract) )).++fof(kb_SUMOcache_1074,axiom,(+ s__instance(s__SineFn__m,s__Entity) )).++fof(kb_SUMOcache_1075,axiom,(+ s__instance(s__IntervalFn__m,s__Relation) )).++fof(kb_SUMOcache_1076,axiom,(+ s__instance(s__IntervalFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1077,axiom,(+ s__instance(s__IntervalFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1078,axiom,(+ s__instance(s__IntervalFn__m,s__Function) )).++fof(kb_SUMOcache_1079,axiom,(+ s__instance(s__IntervalFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1080,axiom,(+ s__instance(s__SingleValuedRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_1081,axiom,(+ s__instance(s__IntervalFn__m,s__Abstract) )).++fof(kb_SUMOcache_1082,axiom,(+ s__instance(s__IntervalFn__m,s__Entity) )).++fof(kb_SUMOcache_1083,axiom,(+ s__instance(s__hole__m,s__Relation) )).++fof(kb_SUMOcache_1084,axiom,(+ s__instance(s__hole__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1085,axiom,(+ s__instance(s__hole__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1086,axiom,(+ s__instance(s__hole__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1087,axiom,(+ s__instance(s__hole__m,s__Predicate) )).++fof(kb_SUMOcache_1088,axiom,(+ s__instance(s__hole__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1089,axiom,(+ s__instance(s__hole__m,s__Abstract) )).++fof(kb_SUMOcache_1090,axiom,(+ s__instance(s__hole__m,s__Entity) )).++fof(kb_SUMOcache_1091,axiom,(+ s__instance(s__causesProposition__m,s__Relation) )).++fof(kb_SUMOcache_1092,axiom,(+ s__instance(s__causesProposition__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1093,axiom,(+ s__instance(s__causesProposition__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1094,axiom,(+ s__instance(s__causesProposition__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1095,axiom,(+ s__instance(s__causesProposition__m,s__Predicate) )).++fof(kb_SUMOcache_1096,axiom,(+ s__instance(s__causesProposition__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1097,axiom,(+ s__instance(s__causesProposition__m,s__Abstract) )).++fof(kb_SUMOcache_1098,axiom,(+ s__instance(s__causesProposition__m,s__Entity) )).++fof(kb_SUMOcache_1099,axiom,(+ s__instance(s__attends__m,s__Relation) )).++fof(kb_SUMOcache_1100,axiom,(+ s__instance(s__attends__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1101,axiom,(+ s__instance(s__attends__m,s__Predicate) )).++fof(kb_SUMOcache_1102,axiom,(+ s__instance(s__attends__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1103,axiom,(+ s__instance(s__attends__m,s__Abstract) )).++fof(kb_SUMOcache_1104,axiom,(+ s__instance(s__attends__m,s__Entity) )).++fof(kb_SUMOcache_1105,axiom,(+ s__instance(plus__m,s__Relation) )).++fof(kb_SUMOcache_1106,axiom,(+ s__instance(plus__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1107,axiom,(+ s__instance(plus__m,s__Function) )).++fof(kb_SUMOcache_1108,axiom,(+ s__instance(plus__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1109,axiom,(+ s__instance(plus__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1110,axiom,(+ s__instance(plus__m,s__Abstract) )).++fof(kb_SUMOcache_1111,axiom,(+ s__instance(plus__m,s__Entity) )).++fof(kb_SUMOcache_1112,axiom,(+ s__instance(s__larger__m,s__Relation) )).++fof(kb_SUMOcache_1113,axiom,(+ s__instance(s__larger__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1114,axiom,(+ s__instance(s__larger__m,s__Predicate) )).++fof(kb_SUMOcache_1115,axiom,(+ s__instance(s__larger__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1116,axiom,(+ s__instance(s__larger__m,s__Abstract) )).++fof(kb_SUMOcache_1117,axiom,(+ s__instance(s__larger__m,s__Entity) )).++fof(kb_SUMOcache_1118,axiom,(+ s__instance(s__links__m,s__Relation) )).++fof(kb_SUMOcache_1119,axiom,(+ s__instance(s__links__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1120,axiom,(+ s__instance(s__links__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1121,axiom,(+ s__instance(s__links__m,s__Predicate) )).++fof(kb_SUMOcache_1122,axiom,(+ s__instance(s__links__m,s__Abstract) )).++fof(kb_SUMOcache_1123,axiom,(+ s__instance(s__links__m,s__Entity) )).++fof(kb_SUMOcache_1124,axiom,(+ s__instance(s__subGraph__m,s__Relation) )).++fof(kb_SUMOcache_1125,axiom,(+ s__instance(s__subGraph__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1126,axiom,(+ s__instance(s__subGraph__m,s__Predicate) )).++fof(kb_SUMOcache_1127,axiom,(+ s__instance(s__subGraph__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1128,axiom,(+ s__instance(s__subGraph__m,s__Abstract) )).++fof(kb_SUMOcache_1129,axiom,(+ s__instance(s__subGraph__m,s__Entity) )).++fof(kb_SUMOcache_1130,axiom,(+ s__instance(s__Volt,s__Quantity) )).++fof(kb_SUMOcache_1131,axiom,(+ s__instance(s__Volt,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1132,axiom,(+ s__instance(s__Volt,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1133,axiom,(+ s__instance(s__Volt,s__Abstract) )).++fof(kb_SUMOcache_1134,axiom,(+ s__instance(s__Volt,s__Entity) )).++fof(kb_SUMOcache_1135,axiom,(+ s__instance(s__AtomGram,s__Quantity) )).++fof(kb_SUMOcache_1136,axiom,(+ s__instance(s__AtomGram,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1137,axiom,(+ s__instance(s__AtomGram,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1138,axiom,(+ s__instance(s__AtomGram,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1139,axiom,(+ s__instance(s__AtomGram,s__Abstract) )).++fof(kb_SUMOcache_1140,axiom,(+ s__instance(s__AtomGram,s__Entity) )).++fof(kb_SUMOcache_1141,axiom,(+ s__instance(s__Ounce,s__Quantity) )).++fof(kb_SUMOcache_1142,axiom,(+ s__instance(s__Ounce,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1143,axiom,(+ s__instance(s__Ounce,s__CompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1144,axiom,(+ s__instance(s__Ounce,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1145,axiom,(+ s__instance(s__Ounce,s__Abstract) )).++fof(kb_SUMOcache_1146,axiom,(+ s__instance(s__Ounce,s__Entity) )).++fof(kb_SUMOcache_1147,axiom,(+ s__instance(s__CosineFn__m,s__Relation) )).++fof(kb_SUMOcache_1148,axiom,(+ s__instance(s__CosineFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1149,axiom,(+ s__instance(s__CosineFn__m,s__Function) )).++fof(kb_SUMOcache_1150,axiom,(+ s__instance(s__CosineFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1151,axiom,(+ s__instance(s__CosineFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1152,axiom,(+ s__instance(s__CosineFn__m,s__Abstract) )).++fof(kb_SUMOcache_1153,axiom,(+ s__instance(s__CosineFn__m,s__Entity) )).++fof(kb_SUMOcache_1154,axiom,(+ s__instance(s__On,s__Attribute) )).++fof(kb_SUMOcache_1155,axiom,(+ s__instance(s__On,s__PositionalAttribute) )).++fof(kb_SUMOcache_1156,axiom,(+ s__instance(s__On,s__RelationalAttribute) )).++fof(kb_SUMOcache_1157,axiom,(+ s__instance(s__On,s__Entity) )).++fof(kb_SUMOcache_1158,axiom,(+ s__instance(s__On,s__Abstract) )).++fof(kb_SUMOcache_1159,axiom,(+ s__instance(s__TerminalNodeFn__m,s__Relation) )).++fof(kb_SUMOcache_1160,axiom,(+ s__instance(s__TerminalNodeFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1161,axiom,(+ s__instance(s__TerminalNodeFn__m,s__Function) )).++fof(kb_SUMOcache_1162,axiom,(+ s__instance(s__TerminalNodeFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1163,axiom,(+ s__instance(s__TerminalNodeFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1164,axiom,(+ s__instance(s__TerminalNodeFn__m,s__Abstract) )).++fof(kb_SUMOcache_1165,axiom,(+ s__instance(s__TerminalNodeFn__m,s__Entity) )).++fof(kb_SUMOcache_1166,axiom,(+ s__instance(s__irreflexiveOn__m,s__Relation) )).++fof(kb_SUMOcache_1167,axiom,(+ s__instance(s__irreflexiveOn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1168,axiom,(+ s__instance(s__irreflexiveOn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1169,axiom,(+ s__instance(s__irreflexiveOn__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1170,axiom,(+ s__instance(s__irreflexiveOn__m,s__Predicate) )).++fof(kb_SUMOcache_1171,axiom,(+ s__instance(s__irreflexiveOn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1172,axiom,(+ s__instance(s__irreflexiveOn__m,s__Abstract) )).++fof(kb_SUMOcache_1173,axiom,(+ s__instance(s__irreflexiveOn__m,s__Entity) )).++fof(kb_SUMOcache_1174,axiom,(+ s__instance(s__traverses__m,s__Relation) )).++fof(kb_SUMOcache_1175,axiom,(+ s__instance(s__traverses__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1176,axiom,(+ s__instance(s__traverses__m,s__Predicate) )).++fof(kb_SUMOcache_1177,axiom,(+ s__instance(s__traverses__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1178,axiom,(+ s__instance(s__traverses__m,s__Abstract) )).++fof(kb_SUMOcache_1179,axiom,(+ s__instance(s__traverses__m,s__Entity) )).++fof(kb_SUMOcache_1180,axiom,(+ s__instance(s__MereologicalProductFn__m,s__Relation) )).++fof(kb_SUMOcache_1181,axiom,(+ s__instance(s__MereologicalProductFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1182,axiom,(+ s__instance(s__MereologicalProductFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1183,axiom,(+ s__instance(s__MereologicalProductFn__m,s__Function) )).++fof(kb_SUMOcache_1184,axiom,(+ s__instance(s__MereologicalProductFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1185,axiom,(+ s__instance(s__MereologicalProductFn__m,s__Abstract) )).++fof(kb_SUMOcache_1186,axiom,(+ s__instance(s__MereologicalProductFn__m,s__Entity) )).++fof(kb_SUMOcache_1187,axiom,(+ s__instance(s__Standing,s__BiologicalAttribute) )).++fof(kb_SUMOcache_1188,axiom,(+ s__instance(s__Standing,s__Attribute) )).++fof(kb_SUMOcache_1189,axiom,(+ s__instance(s__Standing,s__InternalAttribute) )).++fof(kb_SUMOcache_1190,axiom,(+ s__instance(s__Standing,s__Abstract) )).++fof(kb_SUMOcache_1191,axiom,(+ s__instance(s__Standing,s__Entity) )).++fof(kb_SUMOcache_1192,axiom,(+ s__instance(s__MereologicalSumFn__m,s__Relation) )).++fof(kb_SUMOcache_1193,axiom,(+ s__instance(s__MereologicalSumFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1194,axiom,(+ s__instance(s__MereologicalSumFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1195,axiom,(+ s__instance(s__MereologicalSumFn__m,s__Function) )).++fof(kb_SUMOcache_1196,axiom,(+ s__instance(s__MereologicalSumFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1197,axiom,(+ s__instance(s__MereologicalSumFn__m,s__Abstract) )).++fof(kb_SUMOcache_1198,axiom,(+ s__instance(s__MereologicalSumFn__m,s__Entity) )).++fof(kb_SUMOcache_1199,axiom,(+ s__instance(s__FloorFn__m,s__Relation) )).++fof(kb_SUMOcache_1200,axiom,(+ s__instance(s__FloorFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1201,axiom,(+ s__instance(s__FloorFn__m,s__Function) )).++fof(kb_SUMOcache_1202,axiom,(+ s__instance(s__FloorFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1203,axiom,(+ s__instance(s__FloorFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1204,axiom,(+ s__instance(s__FloorFn__m,s__Abstract) )).++fof(kb_SUMOcache_1205,axiom,(+ s__instance(s__FloorFn__m,s__Entity) )).++fof(kb_SUMOcache_1206,axiom,(+ s__instance(divide__m,s__Relation) )).++fof(kb_SUMOcache_1207,axiom,(+ s__instance(divide__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1208,axiom,(+ s__instance(divide__m,s__Function) )).++fof(kb_SUMOcache_1209,axiom,(+ s__instance(divide__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1210,axiom,(+ s__instance(divide__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1211,axiom,(+ s__instance(divide__m,s__Abstract) )).++fof(kb_SUMOcache_1212,axiom,(+ s__instance(divide__m,s__Entity) )).++fof(kb_SUMOcache_1213,axiom,(+ s__instance(s__closedOn__m,s__Relation) )).++fof(kb_SUMOcache_1214,axiom,(+ s__instance(s__closedOn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1215,axiom,(+ s__instance(s__closedOn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1216,axiom,(+ s__instance(s__closedOn__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1217,axiom,(+ s__instance(s__closedOn__m,s__Predicate) )).++fof(kb_SUMOcache_1218,axiom,(+ s__instance(s__closedOn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1219,axiom,(+ s__instance(s__closedOn__m,s__Abstract) )).++fof(kb_SUMOcache_1220,axiom,(+ s__instance(s__closedOn__m,s__Entity) )).++fof(kb_SUMOcache_1221,axiom,(+ s__instance(s__subsumingExternalConcept__m,s__Relation) )).++fof(kb_SUMOcache_1222,axiom,(+ s__instance(s__subsumingExternalConcept__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1223,axiom,(+ s__instance(s__subsumingExternalConcept__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1224,axiom,(+ s__instance(s__subsumingExternalConcept__m,s__Predicate) )).++fof(kb_SUMOcache_1225,axiom,(+ s__instance(s__subsumingExternalConcept__m,s__Abstract) )).++fof(kb_SUMOcache_1226,axiom,(+ s__instance(s__subsumingExternalConcept__m,s__Entity) )).++fof(kb_SUMOcache_1227,axiom,(+ s__instance(s__Newton,s__Quantity) )).++fof(kb_SUMOcache_1228,axiom,(+ s__instance(s__Newton,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1229,axiom,(+ s__instance(s__Newton,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1230,axiom,(+ s__instance(s__Newton,s__Abstract) )).++fof(kb_SUMOcache_1231,axiom,(+ s__instance(s__Newton,s__Entity) )).++fof(kb_SUMOcache_1232,axiom,(+ s__instance(s__contains__m,s__Relation) )).++fof(kb_SUMOcache_1233,axiom,(+ s__instance(s__contains__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1234,axiom,(+ s__instance(s__contains__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1235,axiom,(+ s__instance(s__contains__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1236,axiom,(+ s__instance(s__contains__m,s__Predicate) )).++fof(kb_SUMOcache_1237,axiom,(+ s__instance(s__contains__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1238,axiom,(+ s__instance(s__contains__m,s__Abstract) )).++fof(kb_SUMOcache_1239,axiom,(+ s__instance(s__contains__m,s__Entity) )).++fof(kb_SUMOcache_1240,axiom,(+ s__instance(s__causesSubclass__m,s__Relation) )).++fof(kb_SUMOcache_1241,axiom,(+ s__instance(s__causesSubclass__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1242,axiom,(+ s__instance(s__causesSubclass__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1243,axiom,(+ s__instance(s__causesSubclass__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1244,axiom,(+ s__instance(s__causesSubclass__m,s__Predicate) )).++fof(kb_SUMOcache_1245,axiom,(+ s__instance(s__causesSubclass__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1246,axiom,(+ s__instance(s__causesSubclass__m,s__Abstract) )).++fof(kb_SUMOcache_1247,axiom,(+ s__instance(s__causesSubclass__m,s__Entity) )).++fof(kb_SUMOcache_1248,axiom,(+ s__instance(s__beforeOrEqual__m,s__Relation) )).++fof(kb_SUMOcache_1249,axiom,(+ s__instance(s__beforeOrEqual__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1250,axiom,(+ s__instance(s__beforeOrEqual__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1251,axiom,(+ s__instance(s__beforeOrEqual__m,s__Predicate) )).++fof(kb_SUMOcache_1252,axiom,(+ s__instance(s__beforeOrEqual__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_1253,axiom,(+ s__instance(s__beforeOrEqual__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1254,axiom,(+ s__instance(s__beforeOrEqual__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_1255,axiom,(+ s__instance(s__beforeOrEqual__m,s__Abstract) )).++fof(kb_SUMOcache_1256,axiom,(+ s__instance(s__beforeOrEqual__m,s__Entity) )).++fof(kb_SUMOcache_1257,axiom,(+ s__instance(s__ExponentiationFn__m,s__Relation) )).++fof(kb_SUMOcache_1258,axiom,(+ s__instance(s__ExponentiationFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1259,axiom,(+ s__instance(s__ExponentiationFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1260,axiom,(+ s__instance(s__ExponentiationFn__m,s__Function) )).++fof(kb_SUMOcache_1261,axiom,(+ s__instance(s__ExponentiationFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1262,axiom,(+ s__instance(s__ExponentiationFn__m,s__Abstract) )).++fof(kb_SUMOcache_1263,axiom,(+ s__instance(s__ExponentiationFn__m,s__Entity) )).++fof(kb_SUMOcache_1264,axiom,(+ s__instance(s__partition__m,s__Relation) )).++fof(kb_SUMOcache_1265,axiom,(+ s__instance(s__partition__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1266,axiom,(+ s__instance(s__partition__m,s__Abstract) )).++fof(kb_SUMOcache_1267,axiom,(+ s__instance(s__partition__m,s__Entity) )).++fof(kb_SUMOcache_1268,axiom,(+ s__instance(s__age__m,s__Relation) )).++fof(kb_SUMOcache_1269,axiom,(+ s__instance(s__age__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1270,axiom,(+ s__instance(s__age__m,s__Predicate) )).++fof(kb_SUMOcache_1271,axiom,(+ s__instance(s__age__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1272,axiom,(+ s__instance(s__age__m,s__Abstract) )).++fof(kb_SUMOcache_1273,axiom,(+ s__instance(s__age__m,s__Entity) )).++fof(kb_SUMOcache_1274,axiom,(+ s__instance(s__DenominatorFn__m,s__Relation) )).++fof(kb_SUMOcache_1275,axiom,(+ s__instance(s__DenominatorFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1276,axiom,(+ s__instance(s__DenominatorFn__m,s__Function) )).++fof(kb_SUMOcache_1277,axiom,(+ s__instance(s__DenominatorFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1278,axiom,(+ s__instance(s__DenominatorFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1279,axiom,(+ s__instance(s__DenominatorFn__m,s__Abstract) )).++fof(kb_SUMOcache_1280,axiom,(+ s__instance(s__DenominatorFn__m,s__Entity) )).++fof(kb_SUMOcache_1281,axiom,(+ s__instance(s__connectsEngineeringComponents__m,s__Relation) )).++fof(kb_SUMOcache_1282,axiom,(+ s__instance(s__connectsEngineeringComponents__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1283,axiom,(+ s__instance(s__connectsEngineeringComponents__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1284,axiom,(+ s__instance(s__connectsEngineeringComponents__m,s__Predicate) )).++fof(kb_SUMOcache_1285,axiom,(+ s__instance(s__connectsEngineeringComponents__m,s__Abstract) )).++fof(kb_SUMOcache_1286,axiom,(+ s__instance(s__connectsEngineeringComponents__m,s__Entity) )).++fof(kb_SUMOcache_1287,axiom,(+ s__instance(s__inScopeOfInterest__m,s__Relation) )).++fof(kb_SUMOcache_1288,axiom,(+ s__instance(s__inScopeOfInterest__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1289,axiom,(+ s__instance(s__inScopeOfInterest__m,s__Predicate) )).++fof(kb_SUMOcache_1290,axiom,(+ s__instance(s__inScopeOfInterest__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1291,axiom,(+ s__instance(s__inScopeOfInterest__m,s__Abstract) )).++fof(kb_SUMOcache_1292,axiom,(+ s__instance(s__inScopeOfInterest__m,s__Entity) )).++fof(kb_SUMOcache_1293,axiom,(+ s__instance(s__subList__m,s__Relation) )).++fof(kb_SUMOcache_1294,axiom,(+ s__instance(s__subList__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1295,axiom,(+ s__instance(s__subList__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1296,axiom,(+ s__instance(s__subList__m,s__Predicate) )).++fof(kb_SUMOcache_1297,axiom,(+ s__instance(s__subList__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_1298,axiom,(+ s__instance(s__subList__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1299,axiom,(+ s__instance(s__subList__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_1300,axiom,(+ s__instance(s__subList__m,s__Abstract) )).++fof(kb_SUMOcache_1301,axiom,(+ s__instance(s__subList__m,s__Entity) )).++fof(kb_SUMOcache_1302,axiom,(+ s__instance(s__MaxFn__m,s__Relation) )).++fof(kb_SUMOcache_1303,axiom,(+ s__instance(s__MaxFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1304,axiom,(+ s__instance(s__MaxFn__m,s__Function) )).++fof(kb_SUMOcache_1305,axiom,(+ s__instance(s__MaxFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1306,axiom,(+ s__instance(s__MaxFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1307,axiom,(+ s__instance(s__MaxFn__m,s__Abstract) )).++fof(kb_SUMOcache_1308,axiom,(+ s__instance(s__MaxFn__m,s__Entity) )).++fof(kb_SUMOcache_1309,axiom,(+ s__instance(s__Plasma,s__Attribute) )).++fof(kb_SUMOcache_1310,axiom,(+ s__instance(s__Plasma,s__InternalAttribute) )).++fof(kb_SUMOcache_1311,axiom,(+ s__instance(s__Plasma,s__Abstract) )).++fof(kb_SUMOcache_1312,axiom,(+ s__instance(s__Plasma,s__Entity) )).++fof(kb_SUMOcache_1313,axiom,(+ s__instance(s__KiloByte,s__Quantity) )).++fof(kb_SUMOcache_1314,axiom,(+ s__instance(s__KiloByte,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1315,axiom,(+ s__instance(s__KiloByte,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1316,axiom,(+ s__instance(s__KiloByte,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1317,axiom,(+ s__instance(s__KiloByte,s__Abstract) )).++fof(kb_SUMOcache_1318,axiom,(+ s__instance(s__KiloByte,s__Entity) )).++fof(kb_SUMOcache_1319,axiom,(+ s__instance(s__premise__m,s__Relation) )).++fof(kb_SUMOcache_1320,axiom,(+ s__instance(s__premise__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1321,axiom,(+ s__instance(s__premise__m,s__Predicate) )).++fof(kb_SUMOcache_1322,axiom,(+ s__instance(s__premise__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1323,axiom,(+ s__instance(s__premise__m,s__Abstract) )).++fof(kb_SUMOcache_1324,axiom,(+ s__instance(s__premise__m,s__Entity) )).++fof(kb_SUMOcache_1325,axiom,(+ s__instance(s__Obligation,s__ObjectiveNorm) )).++fof(kb_SUMOcache_1326,axiom,(+ s__instance(s__Obligation,s__NormativeAttribute) )).++fof(kb_SUMOcache_1327,axiom,(+ s__instance(s__Obligation,s__Attribute) )).++fof(kb_SUMOcache_1328,axiom,(+ s__instance(s__Obligation,s__RelationalAttribute) )).++fof(kb_SUMOcache_1329,axiom,(+ s__instance(s__Obligation,s__Entity) )).++fof(kb_SUMOcache_1330,axiom,(+ s__instance(s__Obligation,s__Abstract) )).++fof(kb_SUMOcache_1331,axiom,(+ s__instance(s__termFormat__m,s__Relation) )).++fof(kb_SUMOcache_1332,axiom,(+ s__instance(s__termFormat__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1333,axiom,(+ s__instance(s__termFormat__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1334,axiom,(+ s__instance(s__termFormat__m,s__Predicate) )).++fof(kb_SUMOcache_1335,axiom,(+ s__instance(s__termFormat__m,s__Abstract) )).++fof(kb_SUMOcache_1336,axiom,(+ s__instance(s__termFormat__m,s__Entity) )).++fof(kb_SUMOcache_1337,axiom,(+ s__instance(s__relative__m,s__Relation) )).++fof(kb_SUMOcache_1338,axiom,(+ s__instance(s__relative__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1339,axiom,(+ s__instance(s__relative__m,s__Predicate) )).++fof(kb_SUMOcache_1340,axiom,(+ s__instance(s__relative__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1341,axiom,(+ s__instance(s__relative__m,s__Abstract) )).++fof(kb_SUMOcache_1342,axiom,(+ s__instance(s__relative__m,s__Entity) )).++fof(kb_SUMOcache_1343,axiom,(+ s__instance(s__depth__m,s__Relation) )).++fof(kb_SUMOcache_1344,axiom,(+ s__instance(s__Relation__t,s__SetOrClass) )).++fof(kb_SUMOcache_1345,axiom,(+ s__instance(s__depth__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1346,axiom,(+ s__instance(s__InheritableRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_1347,axiom,(+ s__instance(s__depth__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1348,axiom,(+ s__instance(s__TernaryRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_1349,axiom,(+ s__instance(s__depth__m,s__Predicate) )).++fof(kb_SUMOcache_1350,axiom,(+ s__instance(s__Predicate__t,s__SetOrClass) )).++fof(kb_SUMOcache_1351,axiom,(+ s__instance(s__depth__m,s__Abstract) )).++fof(kb_SUMOcache_1352,axiom,(+ s__instance(s__Abstract__t,s__SetOrClass) )).++fof(kb_SUMOcache_1353,axiom,(+ s__instance(s__depth__m,s__Entity) )).++fof(kb_SUMOcache_1354,axiom,(+ s__instance(s__barometricPressure__m,s__Relation) )).++fof(kb_SUMOcache_1355,axiom,(+ s__instance(s__barometricPressure__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1356,axiom,(+ s__instance(s__barometricPressure__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1357,axiom,(+ s__instance(s__barometricPressure__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1358,axiom,(+ s__instance(s__barometricPressure__m,s__Predicate) )).++fof(kb_SUMOcache_1359,axiom,(+ s__instance(s__barometricPressure__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1360,axiom,(+ s__instance(s__barometricPressure__m,s__Abstract) )).++fof(kb_SUMOcache_1361,axiom,(+ s__instance(s__barometricPressure__m,s__Entity) )).++fof(kb_SUMOcache_1362,axiom,(+ s__instance(s__Rigid,s__Attribute) )).++fof(kb_SUMOcache_1363,axiom,(+ s__instance(s__Rigid,s__Abstract) )).++fof(kb_SUMOcache_1364,axiom,(+ s__instance(s__Rigid,s__Entity) )).++fof(kb_SUMOcache_1365,axiom,(+ s__instance(s__Weber,s__Quantity) )).++fof(kb_SUMOcache_1366,axiom,(+ s__instance(s__Weber,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1367,axiom,(+ s__instance(s__Weber,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1368,axiom,(+ s__instance(s__Weber,s__Abstract) )).++fof(kb_SUMOcache_1369,axiom,(+ s__instance(s__Weber,s__Entity) )).++fof(kb_SUMOcache_1370,axiom,(+ s__instance(s__properlyFills__m,s__Relation) )).++fof(kb_SUMOcache_1371,axiom,(+ s__instance(s__properlyFills__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1372,axiom,(+ s__instance(s__properlyFills__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1373,axiom,(+ s__instance(s__properlyFills__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1374,axiom,(+ s__instance(s__properlyFills__m,s__Predicate) )).++fof(kb_SUMOcache_1375,axiom,(+ s__instance(s__properlyFills__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1376,axiom,(+ s__instance(s__properlyFills__m,s__Abstract) )).++fof(kb_SUMOcache_1377,axiom,(+ s__instance(s__properlyFills__m,s__Entity) )).++fof(kb_SUMOcache_1378,axiom,(+ s__instance(s__synonymousExternalConcept__m,s__Relation) )).++fof(kb_SUMOcache_1379,axiom,(+ s__instance(s__synonymousExternalConcept__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1380,axiom,(+ s__instance(s__synonymousExternalConcept__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1381,axiom,(+ s__instance(s__synonymousExternalConcept__m,s__Predicate) )).++fof(kb_SUMOcache_1382,axiom,(+ s__instance(s__synonymousExternalConcept__m,s__Abstract) )).++fof(kb_SUMOcache_1383,axiom,(+ s__instance(s__synonymousExternalConcept__m,s__Entity) )).++fof(kb_SUMOcache_1384,axiom,(+ s__instance(s__mother__m,s__Relation) )).++fof(kb_SUMOcache_1385,axiom,(+ s__instance(s__mother__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1386,axiom,(+ s__instance(s__mother__m,s__Predicate) )).++fof(kb_SUMOcache_1387,axiom,(+ s__instance(s__mother__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1388,axiom,(+ s__instance(s__mother__m,s__Abstract) )).++fof(kb_SUMOcache_1389,axiom,(+ s__instance(s__mother__m,s__Entity) )).++fof(kb_SUMOcache_1390,axiom,(+ s__instance(s__employs__m,s__Relation) )).++fof(kb_SUMOcache_1391,axiom,(+ s__instance(s__employs__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1392,axiom,(+ s__instance(s__employs__m,s__Predicate) )).++fof(kb_SUMOcache_1393,axiom,(+ s__instance(s__employs__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1394,axiom,(+ s__instance(s__employs__m,s__Abstract) )).++fof(kb_SUMOcache_1395,axiom,(+ s__instance(s__employs__m,s__Entity) )).++fof(kb_SUMOcache_1396,axiom,(+ s__instance(s__FullyFormed,s__BiologicalAttribute) )).++fof(kb_SUMOcache_1397,axiom,(+ s__instance(s__FullyFormed,s__Attribute) )).++fof(kb_SUMOcache_1398,axiom,(+ s__instance(s__FullyFormed,s__InternalAttribute) )).++fof(kb_SUMOcache_1399,axiom,(+ s__instance(s__FullyFormed,s__Abstract) )).++fof(kb_SUMOcache_1400,axiom,(+ s__instance(s__FullyFormed,s__Entity) )).++fof(kb_SUMOcache_1401,axiom,(+ s__instance(s__initialList__m,s__Relation) )).++fof(kb_SUMOcache_1402,axiom,(+ s__instance(s__initialList__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1403,axiom,(+ s__instance(s__initialList__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1404,axiom,(+ s__instance(s__initialList__m,s__Predicate) )).++fof(kb_SUMOcache_1405,axiom,(+ s__instance(s__initialList__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_1406,axiom,(+ s__instance(s__initialList__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1407,axiom,(+ s__instance(s__initialList__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_1408,axiom,(+ s__instance(s__initialList__m,s__Abstract) )).++fof(kb_SUMOcache_1409,axiom,(+ s__instance(s__initialList__m,s__Entity) )).++fof(kb_SUMOcache_1410,axiom,(+ s__instance(s__causes__m,s__Relation) )).++fof(kb_SUMOcache_1411,axiom,(+ s__instance(s__causes__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1412,axiom,(+ s__instance(s__causes__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1413,axiom,(+ s__instance(s__causes__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1414,axiom,(+ s__instance(s__causes__m,s__Predicate) )).++fof(kb_SUMOcache_1415,axiom,(+ s__instance(s__causes__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1416,axiom,(+ s__instance(s__causes__m,s__Abstract) )).++fof(kb_SUMOcache_1417,axiom,(+ s__instance(s__causes__m,s__Entity) )).++fof(kb_SUMOcache_1418,axiom,(+ s__instance(s__ReciprocalFn__m,s__Relation) )).++fof(kb_SUMOcache_1419,axiom,(+ s__instance(s__ReciprocalFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1420,axiom,(+ s__instance(s__ReciprocalFn__m,s__Function) )).++fof(kb_SUMOcache_1421,axiom,(+ s__instance(s__ReciprocalFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1422,axiom,(+ s__instance(s__ReciprocalFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1423,axiom,(+ s__instance(s__ReciprocalFn__m,s__Abstract) )).++fof(kb_SUMOcache_1424,axiom,(+ s__instance(s__ReciprocalFn__m,s__Entity) )).++fof(kb_SUMOcache_1425,axiom,(+ s__instance(s__holdsDuring__m,s__Relation) )).++fof(kb_SUMOcache_1426,axiom,(+ s__instance(s__holdsDuring__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1427,axiom,(+ s__instance(s__holdsDuring__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1428,axiom,(+ s__instance(s__holdsDuring__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1429,axiom,(+ s__instance(s__holdsDuring__m,s__Predicate) )).++fof(kb_SUMOcache_1430,axiom,(+ s__instance(s__holdsDuring__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1431,axiom,(+ s__instance(s__holdsDuring__m,s__Abstract) )).++fof(kb_SUMOcache_1432,axiom,(+ s__instance(s__holdsDuring__m,s__Entity) )).++fof(kb_SUMOcache_1433,axiom,(+ s__instance(s__Kilometer,s__Quantity) )).++fof(kb_SUMOcache_1434,axiom,(+ s__instance(s__Kilometer,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1435,axiom,(+ s__instance(s__Kilometer,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1436,axiom,(+ s__instance(s__Kilometer,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1437,axiom,(+ s__instance(s__Kilometer,s__Entity) )).++fof(kb_SUMOcache_1438,axiom,(+ s__instance(s__Kilometer,s__Abstract) )).++fof(kb_SUMOcache_1439,axiom,(+ s__instance(s__MmMercury,s__Quantity) )).++fof(kb_SUMOcache_1440,axiom,(+ s__instance(s__MmMercury,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1441,axiom,(+ s__instance(s__MmMercury,s__CompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1442,axiom,(+ s__instance(s__CompositeUnitOfMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_1443,axiom,(+ s__instance(s__MmMercury,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1444,axiom,(+ s__instance(s__MmMercury,s__Abstract) )).++fof(kb_SUMOcache_1445,axiom,(+ s__instance(s__MmMercury,s__Entity) )).++fof(kb_SUMOcache_1446,axiom,(+ s__instance(s__PacificTimeZone,s__Attribute) )).++fof(kb_SUMOcache_1447,axiom,(+ s__instance(s__PacificTimeZone,s__RelationalAttribute) )).++fof(kb_SUMOcache_1448,axiom,(+ s__instance(s__PacificTimeZone,s__Entity) )).++fof(kb_SUMOcache_1449,axiom,(+ s__instance(s__PacificTimeZone,s__Abstract) )).++fof(kb_SUMOcache_1450,axiom,(+ s__instance(s__Black,s__VisualAttribute) )).++fof(kb_SUMOcache_1451,axiom,(+ s__instance(s__Black,s__Attribute) )).++fof(kb_SUMOcache_1452,axiom,(+ s__instance(s__Black,s__PerceptualAttribute) )).++fof(kb_SUMOcache_1453,axiom,(+ s__instance(s__Black,s__ColorAttribute) )).++fof(kb_SUMOcache_1454,axiom,(+ s__instance(s__Black,s__Entity) )).++fof(kb_SUMOcache_1455,axiom,(+ s__instance(s__Black,s__Abstract) )).++fof(kb_SUMOcache_1456,axiom,(+ s__instance(s__GigaFn__m,s__TotalValuedRelation) )).++fof(kb_SUMOcache_1457,axiom,(+ s__instance(s__GigaFn__m,s__Relation) )).++fof(kb_SUMOcache_1458,axiom,(+ s__instance(s__GigaFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1459,axiom,(+ s__instance(s__GigaFn__m,s__Function) )).++fof(kb_SUMOcache_1460,axiom,(+ s__instance(s__GigaFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1461,axiom,(+ s__instance(s__GigaFn__m,s__UnaryFunction) )).++fof(kb_SUMOcache_1462,axiom,(+ s__instance(s__GigaFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1463,axiom,(+ s__instance(s__GigaFn__m,s__Entity) )).++fof(kb_SUMOcache_1464,axiom,(+ s__instance(s__GigaFn__m,s__Abstract) )).++fof(kb_SUMOcache_1465,axiom,(+ s__instance(s__smaller__m,s__Relation) )).++fof(kb_SUMOcache_1466,axiom,(+ s__instance(s__smaller__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1467,axiom,(+ s__instance(s__smaller__m,s__Predicate) )).++fof(kb_SUMOcache_1468,axiom,(+ s__instance(s__smaller__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1469,axiom,(+ s__instance(s__smaller__m,s__Abstract) )).++fof(kb_SUMOcache_1470,axiom,(+ s__instance(s__smaller__m,s__Entity) )).++fof(kb_SUMOcache_1471,axiom,(+ s__instance(s__father__m,s__Relation) )).++fof(kb_SUMOcache_1472,axiom,(+ s__instance(s__father__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1473,axiom,(+ s__instance(s__father__m,s__Predicate) )).++fof(kb_SUMOcache_1474,axiom,(+ s__instance(s__father__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1475,axiom,(+ s__instance(s__father__m,s__Abstract) )).++fof(kb_SUMOcache_1476,axiom,(+ s__instance(s__father__m,s__Entity) )).++fof(kb_SUMOcache_1477,axiom,(+ s__instance(s__subset__m,s__Relation) )).++fof(kb_SUMOcache_1478,axiom,(+ s__instance(s__subset__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1479,axiom,(+ s__instance(s__subset__m,s__Predicate) )).++fof(kb_SUMOcache_1480,axiom,(+ s__instance(s__subset__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1481,axiom,(+ s__instance(s__subset__m,s__Abstract) )).++fof(kb_SUMOcache_1482,axiom,(+ s__instance(s__subset__m,s__Entity) )).++fof(kb_SUMOcache_1483,axiom,(+ s__instance(s__Awake,s__StateOfMind) )).++fof(kb_SUMOcache_1484,axiom,(+ s__instance(s__Awake,s__BiologicalAttribute) )).++fof(kb_SUMOcache_1485,axiom,(+ s__instance(s__Awake,s__PsychologicalAttribute) )).++fof(kb_SUMOcache_1486,axiom,(+ s__instance(s__Awake,s__Attribute) )).++fof(kb_SUMOcache_1487,axiom,(+ s__instance(s__Awake,s__InternalAttribute) )).++fof(kb_SUMOcache_1488,axiom,(+ s__instance(s__Awake,s__Entity) )).++fof(kb_SUMOcache_1489,axiom,(+ s__instance(s__Awake,s__Abstract) )).++fof(kb_SUMOcache_1490,axiom,(+ s__instance(s__path__m,s__Relation) )).++fof(kb_SUMOcache_1491,axiom,(+ s__instance(s__path__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1492,axiom,(+ s__instance(s__path__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1493,axiom,(+ s__instance(s__path__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1494,axiom,(+ s__instance(s__path__m,s__Predicate) )).++fof(kb_SUMOcache_1495,axiom,(+ s__instance(s__path__m,s__BinaryPredicate) )).++fof(kb_SUMOcache_1496,axiom,(+ s__instance(s__path__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_1497,axiom,(+ s__instance(s__path__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1498,axiom,(+ s__instance(s__path__m,s__Abstract) )).++fof(kb_SUMOcache_1499,axiom,(+ s__instance(s__path__m,s__Entity) )).++fof(kb_SUMOcache_1500,axiom,(+ s__instance(s__between__m,s__Relation) )).++fof(kb_SUMOcache_1501,axiom,(+ s__instance(s__between__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1502,axiom,(+ s__instance(s__between__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1503,axiom,(+ s__instance(s__between__m,s__Predicate) )).++fof(kb_SUMOcache_1504,axiom,(+ s__instance(s__between__m,s__Abstract) )).++fof(kb_SUMOcache_1505,axiom,(+ s__instance(s__between__m,s__Entity) )).++fof(kb_SUMOcache_1506,axiom,(+ s__instance(s__transactionAmount__m,s__Relation) )).++fof(kb_SUMOcache_1507,axiom,(+ s__instance(s__transactionAmount__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1508,axiom,(+ s__instance(s__transactionAmount__m,s__Predicate) )).++fof(kb_SUMOcache_1509,axiom,(+ s__instance(s__transactionAmount__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1510,axiom,(+ s__instance(s__transactionAmount__m,s__Abstract) )).++fof(kb_SUMOcache_1511,axiom,(+ s__instance(s__transactionAmount__m,s__Entity) )).++fof(kb_SUMOcache_1512,axiom,(+ s__instance(s__subProposition__m,s__Relation) )).++fof(kb_SUMOcache_1513,axiom,(+ s__instance(s__subProposition__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1514,axiom,(+ s__instance(s__subProposition__m,s__Predicate) )).++fof(kb_SUMOcache_1515,axiom,(+ s__instance(s__subProposition__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1516,axiom,(+ s__instance(s__subProposition__m,s__Entity) )).++fof(kb_SUMOcache_1517,axiom,(+ s__instance(s__subProposition__m,s__Abstract) )).++fof(kb_SUMOcache_1518,axiom,(+ s__instance(s__temporallyBetween__m,s__Relation) )).++fof(kb_SUMOcache_1519,axiom,(+ s__instance(s__temporallyBetween__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1520,axiom,(+ s__instance(s__temporallyBetween__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1521,axiom,(+ s__instance(s__temporallyBetween__m,s__Predicate) )).++fof(kb_SUMOcache_1522,axiom,(+ s__instance(s__temporallyBetween__m,s__Abstract) )).++fof(kb_SUMOcache_1523,axiom,(+ s__instance(s__temporallyBetween__m,s__Entity) )).++fof(kb_SUMOcache_1524,axiom,(+ s__instance(s__resource__m,s__Relation) )).++fof(kb_SUMOcache_1525,axiom,(+ s__instance(s__resource__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1526,axiom,(+ s__instance(s__resource__m,s__Predicate) )).++fof(kb_SUMOcache_1527,axiom,(+ s__instance(s__resource__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1528,axiom,(+ s__instance(s__resource__m,s__Abstract) )).++fof(kb_SUMOcache_1529,axiom,(+ s__instance(s__resource__m,s__Entity) )).++fof(kb_SUMOcache_1530,axiom,(+ s__instance(s__disjointDecomposition__m,s__Relation) )).++fof(kb_SUMOcache_1531,axiom,(+ s__instance(s__disjointDecomposition__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1532,axiom,(+ s__instance(s__disjointDecomposition__m,s__Abstract) )).++fof(kb_SUMOcache_1533,axiom,(+ s__instance(s__disjointDecomposition__m,s__Entity) )).++fof(kb_SUMOcache_1534,axiom,(+ s__instance(s__instrument__m,s__Relation) )).++fof(kb_SUMOcache_1535,axiom,(+ s__instance(s__instrument__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1536,axiom,(+ s__instance(s__instrument__m,s__Predicate) )).++fof(kb_SUMOcache_1537,axiom,(+ s__instance(s__instrument__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1538,axiom,(+ s__instance(s__instrument__m,s__Abstract) )).++fof(kb_SUMOcache_1539,axiom,(+ s__instance(s__instrument__m,s__Entity) )).++fof(kb_SUMOcache_1540,axiom,(+ s__instance(s__Ampere,s__Quantity) )).++fof(kb_SUMOcache_1541,axiom,(+ s__instance(s__Ampere,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1542,axiom,(+ s__instance(s__Ampere,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1543,axiom,(+ s__instance(s__Ampere,s__Abstract) )).++fof(kb_SUMOcache_1544,axiom,(+ s__instance(s__Ampere,s__Entity) )).++fof(kb_SUMOcache_1545,axiom,(+ s__instance(s__Gas,s__Attribute) )).++fof(kb_SUMOcache_1546,axiom,(+ s__instance(s__Gas,s__InternalAttribute) )).++fof(kb_SUMOcache_1547,axiom,(+ s__instance(s__Gas,s__Abstract) )).++fof(kb_SUMOcache_1548,axiom,(+ s__instance(s__Gas,s__Entity) )).++fof(kb_SUMOcache_1549,axiom,(+ s__instance(s__duration__m,s__Relation) )).++fof(kb_SUMOcache_1550,axiom,(+ s__instance(s__duration__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1551,axiom,(+ s__instance(s__duration__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1552,axiom,(+ s__instance(s__duration__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1553,axiom,(+ s__instance(s__duration__m,s__Predicate) )).++fof(kb_SUMOcache_1554,axiom,(+ s__instance(s__duration__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1555,axiom,(+ s__instance(s__duration__m,s__Abstract) )).++fof(kb_SUMOcache_1556,axiom,(+ s__instance(s__duration__m,s__Entity) )).++fof(kb_SUMOcache_1557,axiom,(+ s__instance(s__temporalPart__m,s__Relation) )).++fof(kb_SUMOcache_1558,axiom,(+ s__instance(s__temporalPart__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1559,axiom,(+ s__instance(s__temporalPart__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1560,axiom,(+ s__instance(s__temporalPart__m,s__Predicate) )).++fof(kb_SUMOcache_1561,axiom,(+ s__instance(s__temporalPart__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_1562,axiom,(+ s__instance(s__temporalPart__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1563,axiom,(+ s__instance(s__temporalPart__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_1564,axiom,(+ s__instance(s__temporalPart__m,s__Abstract) )).++fof(kb_SUMOcache_1565,axiom,(+ s__instance(s__temporalPart__m,s__Entity) )).++fof(kb_SUMOcache_1566,axiom,(+ s__instance(s__wife__m,s__Relation) )).++fof(kb_SUMOcache_1567,axiom,(+ s__instance(s__wife__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1568,axiom,(+ s__instance(s__wife__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1569,axiom,(+ s__instance(s__wife__m,s__Predicate) )).++fof(kb_SUMOcache_1570,axiom,(+ s__instance(s__wife__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1571,axiom,(+ s__instance(s__wife__m,s__Entity) )).++fof(kb_SUMOcache_1572,axiom,(+ s__instance(s__wife__m,s__Abstract) )).++fof(kb_SUMOcache_1573,axiom,(+ s__instance(s__sibling__m,s__Relation) )).++fof(kb_SUMOcache_1574,axiom,(+ s__instance(s__sibling__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1575,axiom,(+ s__instance(s__sibling__m,s__Predicate) )).++fof(kb_SUMOcache_1576,axiom,(+ s__instance(s__sibling__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1577,axiom,(+ s__instance(s__sibling__m,s__Entity) )).++fof(kb_SUMOcache_1578,axiom,(+ s__instance(s__sibling__m,s__Abstract) )).++fof(kb_SUMOcache_1579,axiom,(+ s__instance(s__ListLengthFn__m,s__Relation) )).++fof(kb_SUMOcache_1580,axiom,(+ s__instance(s__ListLengthFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1581,axiom,(+ s__instance(s__ListLengthFn__m,s__Function) )).++fof(kb_SUMOcache_1582,axiom,(+ s__instance(s__ListLengthFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1583,axiom,(+ s__instance(s__ListLengthFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1584,axiom,(+ s__instance(s__ListLengthFn__m,s__Abstract) )).++fof(kb_SUMOcache_1585,axiom,(+ s__instance(s__ListLengthFn__m,s__Entity) )).++fof(kb_SUMOcache_1586,axiom,(+ s__instance(s__increasesLikelihood__m,s__Relation) )).++fof(kb_SUMOcache_1587,axiom,(+ s__instance(s__increasesLikelihood__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1588,axiom,(+ s__instance(s__increasesLikelihood__m,s__Predicate) )).++fof(kb_SUMOcache_1589,axiom,(+ s__instance(s__increasesLikelihood__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1590,axiom,(+ s__instance(s__increasesLikelihood__m,s__Abstract) )).++fof(kb_SUMOcache_1591,axiom,(+ s__instance(s__increasesLikelihood__m,s__Entity) )).++fof(kb_SUMOcache_1592,axiom,(+ s__instance(s__consistent__m,s__Relation) )).++fof(kb_SUMOcache_1593,axiom,(+ s__instance(s__consistent__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1594,axiom,(+ s__instance(s__consistent__m,s__Predicate) )).++fof(kb_SUMOcache_1595,axiom,(+ s__instance(s__consistent__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1596,axiom,(+ s__instance(s__consistent__m,s__Abstract) )).++fof(kb_SUMOcache_1597,axiom,(+ s__instance(s__consistent__m,s__Entity) )).++fof(kb_SUMOcache_1598,axiom,(+ s__instance(s__East,s__Attribute) )).++fof(kb_SUMOcache_1599,axiom,(+ s__instance(s__East,s__PositionalAttribute) )).++fof(kb_SUMOcache_1600,axiom,(+ s__instance(s__PositionalAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_1601,axiom,(+ s__instance(s__East,s__RelationalAttribute) )).++fof(kb_SUMOcache_1602,axiom,(+ s__instance(s__East,s__Entity) )).++fof(kb_SUMOcache_1603,axiom,(+ s__instance(s__East,s__Abstract) )).++fof(kb_SUMOcache_1604,axiom,(+ s__instance(s__MinuteDuration,s__Quantity) )).++fof(kb_SUMOcache_1605,axiom,(+ s__instance(s__MinuteDuration,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1606,axiom,(+ s__instance(s__MinuteDuration,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1607,axiom,(+ s__instance(s__MinuteDuration,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1608,axiom,(+ s__instance(s__MinuteDuration,s__Abstract) )).++fof(kb_SUMOcache_1609,axiom,(+ s__instance(s__MinuteDuration,s__Entity) )).++fof(kb_SUMOcache_1610,axiom,(+ s__instance(s__DayDuration,s__Quantity) )).++fof(kb_SUMOcache_1611,axiom,(+ s__instance(s__DayDuration,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1612,axiom,(+ s__instance(s__DayDuration,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1613,axiom,(+ s__instance(s__DayDuration,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1614,axiom,(+ s__instance(s__DayDuration,s__Abstract) )).++fof(kb_SUMOcache_1615,axiom,(+ s__instance(s__DayDuration,s__Entity) )).++fof(kb_SUMOcache_1616,axiom,(+ s__instance(s__involvedInEvent__m,s__Relation) )).++fof(kb_SUMOcache_1617,axiom,(+ s__instance(s__involvedInEvent__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1618,axiom,(+ s__instance(s__involvedInEvent__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1619,axiom,(+ s__instance(s__involvedInEvent__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1620,axiom,(+ s__instance(s__involvedInEvent__m,s__Predicate) )).++fof(kb_SUMOcache_1621,axiom,(+ s__instance(s__involvedInEvent__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1622,axiom,(+ s__instance(s__involvedInEvent__m,s__Abstract) )).++fof(kb_SUMOcache_1623,axiom,(+ s__instance(s__involvedInEvent__m,s__Entity) )).++fof(kb_SUMOcache_1624,axiom,(+ s__instance(s__exhaustiveAttribute__m,s__Relation) )).++fof(kb_SUMOcache_1625,axiom,(+ s__instance(s__exhaustiveAttribute__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1626,axiom,(+ s__instance(s__exhaustiveAttribute__m,s__Abstract) )).++fof(kb_SUMOcache_1627,axiom,(+ s__instance(s__exhaustiveAttribute__m,s__Entity) )).++fof(kb_SUMOcache_1628,axiom,(+ s__instance(s__holdsObligation__m,s__Relation) )).++fof(kb_SUMOcache_1629,axiom,(+ s__instance(s__holdsObligation__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1630,axiom,(+ s__instance(s__holdsObligation__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1631,axiom,(+ s__instance(s__holdsObligation__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1632,axiom,(+ s__instance(s__holdsObligation__m,s__Predicate) )).++fof(kb_SUMOcache_1633,axiom,(+ s__instance(s__holdsObligation__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1634,axiom,(+ s__instance(s__holdsObligation__m,s__Abstract) )).++fof(kb_SUMOcache_1635,axiom,(+ s__instance(s__holdsObligation__m,s__Entity) )).++fof(kb_SUMOcache_1636,axiom,(+ s__instance(s__graphPart__m,s__Relation) )).++fof(kb_SUMOcache_1637,axiom,(+ s__instance(s__graphPart__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1638,axiom,(+ s__instance(s__graphPart__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1639,axiom,(+ s__instance(s__graphPart__m,s__Predicate) )).++fof(kb_SUMOcache_1640,axiom,(+ s__instance(s__graphPart__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1641,axiom,(+ s__instance(s__graphPart__m,s__Entity) )).++fof(kb_SUMOcache_1642,axiom,(+ s__instance(s__graphPart__m,s__Abstract) )).++fof(kb_SUMOcache_1643,axiom,(+ s__instance(s__partiallyFills__m,s__Relation) )).++fof(kb_SUMOcache_1644,axiom,(+ s__instance(s__partiallyFills__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1645,axiom,(+ s__instance(s__partiallyFills__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1646,axiom,(+ s__instance(s__partiallyFills__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1647,axiom,(+ s__instance(s__partiallyFills__m,s__Predicate) )).++fof(kb_SUMOcache_1648,axiom,(+ s__instance(s__partiallyFills__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1649,axiom,(+ s__instance(s__partiallyFills__m,s__Abstract) )).++fof(kb_SUMOcache_1650,axiom,(+ s__instance(s__partiallyFills__m,s__Entity) )).++fof(kb_SUMOcache_1651,axiom,(+ s__instance(s__DayFn__m,s__Relation) )).++fof(kb_SUMOcache_1652,axiom,(+ s__instance(s__DayFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1653,axiom,(+ s__instance(s__DayFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1654,axiom,(+ s__instance(s__DayFn__m,s__Function) )).++fof(kb_SUMOcache_1655,axiom,(+ s__instance(s__DayFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1656,axiom,(+ s__instance(s__DayFn__m,s__Abstract) )).++fof(kb_SUMOcache_1657,axiom,(+ s__instance(s__DayFn__m,s__Entity) )).++fof(kb_SUMOcache_1658,axiom,(+ s__instance(s__spouse__m,s__Relation) )).++fof(kb_SUMOcache_1659,axiom,(+ s__instance(s__spouse__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1660,axiom,(+ s__instance(s__spouse__m,s__Predicate) )).++fof(kb_SUMOcache_1661,axiom,(+ s__instance(s__spouse__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1662,axiom,(+ s__instance(s__spouse__m,s__Entity) )).++fof(kb_SUMOcache_1663,axiom,(+ s__instance(s__spouse__m,s__Abstract) )).++fof(kb_SUMOcache_1664,axiom,(+ s__instance(s__BeginFn__m,s__Relation) )).++fof(kb_SUMOcache_1665,axiom,(+ s__instance(s__BeginFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1666,axiom,(+ s__instance(s__BeginFn__m,s__Function) )).++fof(kb_SUMOcache_1667,axiom,(+ s__instance(s__BeginFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1668,axiom,(+ s__instance(s__BeginFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1669,axiom,(+ s__instance(s__BeginFn__m,s__Abstract) )).++fof(kb_SUMOcache_1670,axiom,(+ s__instance(s__BeginFn__m,s__Entity) )).++fof(kb_SUMOcache_1671,axiom,(+ s__instance(s__Sitting,s__BiologicalAttribute) )).++fof(kb_SUMOcache_1672,axiom,(+ s__instance(s__Sitting,s__Attribute) )).++fof(kb_SUMOcache_1673,axiom,(+ s__instance(s__Sitting,s__InternalAttribute) )).++fof(kb_SUMOcache_1674,axiom,(+ s__instance(s__Sitting,s__Abstract) )).++fof(kb_SUMOcache_1675,axiom,(+ s__instance(s__Sitting,s__Entity) )).++fof(kb_SUMOcache_1676,axiom,(+ s__instance(s__pathLength__m,s__Relation) )).++fof(kb_SUMOcache_1677,axiom,(+ s__instance(s__pathLength__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1678,axiom,(+ s__instance(s__pathLength__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1679,axiom,(+ s__instance(s__pathLength__m,s__Predicate) )).++fof(kb_SUMOcache_1680,axiom,(+ s__instance(s__pathLength__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1681,axiom,(+ s__instance(s__pathLength__m,s__Entity) )).++fof(kb_SUMOcache_1682,axiom,(+ s__instance(s__pathLength__m,s__Abstract) )).++fof(kb_SUMOcache_1683,axiom,(+ s__instance(s__Lumen,s__Quantity) )).++fof(kb_SUMOcache_1684,axiom,(+ s__instance(s__Lumen,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1685,axiom,(+ s__instance(s__Lumen,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1686,axiom,(+ s__instance(s__Lumen,s__Abstract) )).++fof(kb_SUMOcache_1687,axiom,(+ s__instance(s__Lumen,s__Entity) )).++fof(kb_SUMOcache_1688,axiom,(+ s__instance(s__piece__m,s__Relation) )).++fof(kb_SUMOcache_1689,axiom,(+ s__instance(s__piece__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1690,axiom,(+ s__instance(s__piece__m,s__Predicate) )).++fof(kb_SUMOcache_1691,axiom,(+ s__instance(s__piece__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1692,axiom,(+ s__instance(s__piece__m,s__Abstract) )).++fof(kb_SUMOcache_1693,axiom,(+ s__instance(s__piece__m,s__Entity) )).++fof(kb_SUMOcache_1694,axiom,(+ s__instance(s__copy__m,s__Relation) )).++fof(kb_SUMOcache_1695,axiom,(+ s__instance(s__copy__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1696,axiom,(+ s__instance(s__copy__m,s__Predicate) )).++fof(kb_SUMOcache_1697,axiom,(+ s__instance(s__copy__m,s__SymmetricRelation) )).++fof(kb_SUMOcache_1698,axiom,(+ s__instance(s__copy__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_1699,axiom,(+ s__instance(s__copy__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1700,axiom,(+ s__instance(s__copy__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_1701,axiom,(+ s__instance(s__copy__m,s__Abstract) )).++fof(kb_SUMOcache_1702,axiom,(+ s__instance(s__copy__m,s__Entity) )).++fof(kb_SUMOcache_1703,axiom,(+ s__instance(s__WhereFn__m,s__Relation) )).++fof(kb_SUMOcache_1704,axiom,(+ s__instance(s__WhereFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1705,axiom,(+ s__instance(s__WhereFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1706,axiom,(+ s__instance(s__WhereFn__m,s__Function) )).++fof(kb_SUMOcache_1707,axiom,(+ s__instance(s__WhereFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1708,axiom,(+ s__instance(s__WhereFn__m,s__Abstract) )).++fof(kb_SUMOcache_1709,axiom,(+ s__instance(s__WhereFn__m,s__Entity) )).++fof(kb_SUMOcache_1710,axiom,(+ s__instance(s__Angstrom,s__Quantity) )).++fof(kb_SUMOcache_1711,axiom,(+ s__instance(s__Angstrom,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1712,axiom,(+ s__instance(s__Angstrom,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1713,axiom,(+ s__instance(s__Angstrom,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1714,axiom,(+ s__instance(s__Angstrom,s__Entity) )).++fof(kb_SUMOcache_1715,axiom,(+ s__instance(s__Angstrom,s__Abstract) )).++fof(kb_SUMOcache_1716,axiom,(+ s__instance(s__subsumedExternalConcept__m,s__Relation) )).++fof(kb_SUMOcache_1717,axiom,(+ s__instance(s__subsumedExternalConcept__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1718,axiom,(+ s__instance(s__subsumedExternalConcept__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1719,axiom,(+ s__instance(s__subsumedExternalConcept__m,s__Predicate) )).++fof(kb_SUMOcache_1720,axiom,(+ s__instance(s__subsumedExternalConcept__m,s__Abstract) )).++fof(kb_SUMOcache_1721,axiom,(+ s__instance(s__subsumedExternalConcept__m,s__Entity) )).++fof(kb_SUMOcache_1722,axiom,(+ s__instance(s__subSystem__m,s__Relation) )).++fof(kb_SUMOcache_1723,axiom,(+ s__instance(s__subSystem__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1724,axiom,(+ s__instance(s__subSystem__m,s__Predicate) )).++fof(kb_SUMOcache_1725,axiom,(+ s__instance(s__subSystem__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1726,axiom,(+ s__instance(s__subSystem__m,s__Abstract) )).++fof(kb_SUMOcache_1727,axiom,(+ s__instance(s__subSystem__m,s__Entity) )).++fof(kb_SUMOcache_1728,axiom,(+ s__instance(s__RealNumberFn__m,s__Relation) )).++fof(kb_SUMOcache_1729,axiom,(+ s__instance(s__RealNumberFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1730,axiom,(+ s__instance(s__RealNumberFn__m,s__Function) )).++fof(kb_SUMOcache_1731,axiom,(+ s__instance(s__RealNumberFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1732,axiom,(+ s__instance(s__RealNumberFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1733,axiom,(+ s__instance(s__RealNumberFn__m,s__Abstract) )).++fof(kb_SUMOcache_1734,axiom,(+ s__instance(s__RealNumberFn__m,s__Entity) )).++fof(kb_SUMOcache_1735,axiom,(+ s__instance(s__Byte,s__Quantity) )).++fof(kb_SUMOcache_1736,axiom,(+ s__instance(s__Byte,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1737,axiom,(+ s__instance(s__Byte,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1738,axiom,(+ s__instance(s__Byte,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1739,axiom,(+ s__instance(s__Byte,s__Abstract) )).++fof(kb_SUMOcache_1740,axiom,(+ s__instance(s__Byte,s__Entity) )).++fof(kb_SUMOcache_1741,axiom,(+ s__instance(s__independentProbability__m,s__Relation) )).++fof(kb_SUMOcache_1742,axiom,(+ s__instance(s__independentProbability__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1743,axiom,(+ s__instance(s__independentProbability__m,s__Predicate) )).++fof(kb_SUMOcache_1744,axiom,(+ s__instance(s__independentProbability__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1745,axiom,(+ s__instance(s__independentProbability__m,s__Abstract) )).++fof(kb_SUMOcache_1746,axiom,(+ s__instance(s__independentProbability__m,s__Entity) )).++fof(kb_SUMOcache_1747,axiom,(+ s__instance(s__TemporalCompositionFn__m,s__Relation) )).++fof(kb_SUMOcache_1748,axiom,(+ s__instance(s__TemporalCompositionFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1749,axiom,(+ s__instance(s__TemporalCompositionFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1750,axiom,(+ s__instance(s__TemporalCompositionFn__m,s__Function) )).++fof(kb_SUMOcache_1751,axiom,(+ s__instance(s__TemporalCompositionFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1752,axiom,(+ s__instance(s__TemporalCompositionFn__m,s__Abstract) )).++fof(kb_SUMOcache_1753,axiom,(+ s__instance(s__TemporalCompositionFn__m,s__Entity) )).++fof(kb_SUMOcache_1754,axiom,(+ s__instance(s__Watt,s__Quantity) )).++fof(kb_SUMOcache_1755,axiom,(+ s__instance(s__Watt,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1756,axiom,(+ s__instance(s__Watt,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1757,axiom,(+ s__instance(s__Watt,s__Abstract) )).++fof(kb_SUMOcache_1758,axiom,(+ s__instance(s__Watt,s__Entity) )).++fof(kb_SUMOcache_1759,axiom,(+ s__instance(s__bottom__m,s__Relation) )).++fof(kb_SUMOcache_1760,axiom,(+ s__instance(s__bottom__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1761,axiom,(+ s__instance(s__bottom__m,s__Predicate) )).++fof(kb_SUMOcache_1762,axiom,(+ s__instance(s__bottom__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1763,axiom,(+ s__instance(s__bottom__m,s__Abstract) )).++fof(kb_SUMOcache_1764,axiom,(+ s__instance(s__bottom__m,s__Entity) )).++fof(kb_SUMOcache_1765,axiom,(+ s__instance(s__Hertz,s__Quantity) )).++fof(kb_SUMOcache_1766,axiom,(+ s__instance(s__Hertz,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1767,axiom,(+ s__instance(s__Hertz,s__CompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1768,axiom,(+ s__instance(s__Hertz,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1769,axiom,(+ s__instance(s__Hertz,s__Abstract) )).++fof(kb_SUMOcache_1770,axiom,(+ s__instance(s__Hertz,s__Entity) )).++fof(kb_SUMOcache_1771,axiom,(+ s__instance(s__MeasureFn__m,s__Relation) )).++fof(kb_SUMOcache_1772,axiom,(+ s__instance(s__MeasureFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1773,axiom,(+ s__instance(s__MeasureFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1774,axiom,(+ s__instance(s__MeasureFn__m,s__Function) )).++fof(kb_SUMOcache_1775,axiom,(+ s__instance(s__MeasureFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1776,axiom,(+ s__instance(s__MeasureFn__m,s__Abstract) )).++fof(kb_SUMOcache_1777,axiom,(+ s__instance(s__MeasureFn__m,s__Entity) )).++fof(kb_SUMOcache_1778,axiom,(+ s__instance(s__FahrenheitDegree,s__Quantity) )).++fof(kb_SUMOcache_1779,axiom,(+ s__instance(s__FahrenheitDegree,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1780,axiom,(+ s__instance(s__FahrenheitDegree,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1781,axiom,(+ s__instance(s__FahrenheitDegree,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1782,axiom,(+ s__instance(s__FahrenheitDegree,s__Abstract) )).++fof(kb_SUMOcache_1783,axiom,(+ s__instance(s__FahrenheitDegree,s__Entity) )).++fof(kb_SUMOcache_1784,axiom,(+ s__instance(s__subAttribute__m,s__Relation) )).++fof(kb_SUMOcache_1785,axiom,(+ s__instance(s__subAttribute__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1786,axiom,(+ s__instance(s__subAttribute__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1787,axiom,(+ s__instance(s__subAttribute__m,s__Predicate) )).++fof(kb_SUMOcache_1788,axiom,(+ s__instance(s__subAttribute__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_1789,axiom,(+ s__instance(s__subAttribute__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1790,axiom,(+ s__instance(s__subAttribute__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_1791,axiom,(+ s__instance(s__subAttribute__m,s__Abstract) )).++fof(kb_SUMOcache_1792,axiom,(+ s__instance(s__subAttribute__m,s__Entity) )).++fof(kb_SUMOcache_1793,axiom,(+ s__instance(s__Adjacent,s__Attribute) )).++fof(kb_SUMOcache_1794,axiom,(+ s__instance(s__Adjacent,s__PositionalAttribute) )).++fof(kb_SUMOcache_1795,axiom,(+ s__instance(s__Adjacent,s__RelationalAttribute) )).++fof(kb_SUMOcache_1796,axiom,(+ s__instance(s__Adjacent,s__Abstract) )).++fof(kb_SUMOcache_1797,axiom,(+ s__instance(s__Adjacent,s__Entity) )).++fof(kb_SUMOcache_1798,axiom,(+ s__instance(s__daughter__m,s__Relation) )).++fof(kb_SUMOcache_1799,axiom,(+ s__instance(s__daughter__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1800,axiom,(+ s__instance(s__daughter__m,s__Predicate) )).++fof(kb_SUMOcache_1801,axiom,(+ s__instance(s__daughter__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1802,axiom,(+ s__instance(s__daughter__m,s__Abstract) )).++fof(kb_SUMOcache_1803,axiom,(+ s__instance(s__daughter__m,s__Entity) )).++fof(kb_SUMOcache_1804,axiom,(+ s__instance(s__representsInLanguage__m,s__Relation) )).++fof(kb_SUMOcache_1805,axiom,(+ s__instance(s__representsInLanguage__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1806,axiom,(+ s__instance(s__representsInLanguage__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1807,axiom,(+ s__instance(s__representsInLanguage__m,s__Predicate) )).++fof(kb_SUMOcache_1808,axiom,(+ s__instance(s__representsInLanguage__m,s__Abstract) )).++fof(kb_SUMOcache_1809,axiom,(+ s__instance(s__representsInLanguage__m,s__Entity) )).++fof(kb_SUMOcache_1810,axiom,(+ s__instance(s__Asleep,s__StateOfMind) )).++fof(kb_SUMOcache_1811,axiom,(+ s__instance(s__Asleep,s__BiologicalAttribute) )).++fof(kb_SUMOcache_1812,axiom,(+ s__instance(s__Asleep,s__PsychologicalAttribute) )).++fof(kb_SUMOcache_1813,axiom,(+ s__instance(s__Asleep,s__Attribute) )).++fof(kb_SUMOcache_1814,axiom,(+ s__instance(s__Asleep,s__InternalAttribute) )).++fof(kb_SUMOcache_1815,axiom,(+ s__instance(s__Asleep,s__Entity) )).++fof(kb_SUMOcache_1816,axiom,(+ s__instance(s__Asleep,s__Abstract) )).++fof(kb_SUMOcache_1817,axiom,(+ s__instance(s__KelvinDegree,s__Quantity) )).++fof(kb_SUMOcache_1818,axiom,(+ s__instance(s__KelvinDegree,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1819,axiom,(+ s__instance(s__KelvinDegree,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1820,axiom,(+ s__instance(s__KelvinDegree,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1821,axiom,(+ s__instance(s__KelvinDegree,s__Abstract) )).++fof(kb_SUMOcache_1822,axiom,(+ s__instance(s__KelvinDegree,s__Entity) )).++fof(kb_SUMOcache_1823,axiom,(+ s__instance(s__date__m,s__Relation) )).++fof(kb_SUMOcache_1824,axiom,(+ s__instance(s__date__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1825,axiom,(+ s__instance(s__date__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1826,axiom,(+ s__instance(s__date__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1827,axiom,(+ s__instance(s__date__m,s__Predicate) )).++fof(kb_SUMOcache_1828,axiom,(+ s__instance(s__date__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1829,axiom,(+ s__instance(s__date__m,s__Abstract) )).++fof(kb_SUMOcache_1830,axiom,(+ s__instance(s__date__m,s__Entity) )).++fof(kb_SUMOcache_1831,axiom,(+ s__instance(s__FootLength,s__Quantity) )).++fof(kb_SUMOcache_1832,axiom,(+ s__instance(s__FootLength,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1833,axiom,(+ s__instance(s__FootLength,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1834,axiom,(+ s__instance(s__FootLength,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1835,axiom,(+ s__instance(s__FootLength,s__Entity) )).++fof(kb_SUMOcache_1836,axiom,(+ s__instance(s__FootLength,s__Abstract) )).++fof(kb_SUMOcache_1837,axiom,(+ s__instance(s__YearDuration,s__Quantity) )).++fof(kb_SUMOcache_1838,axiom,(+ s__instance(s__YearDuration,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1839,axiom,(+ s__instance(s__NonCompositeUnitOfMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_1840,axiom,(+ s__instance(s__YearDuration,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1841,axiom,(+ s__instance(s__YearDuration,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1842,axiom,(+ s__instance(s__YearDuration,s__Abstract) )).++fof(kb_SUMOcache_1843,axiom,(+ s__instance(s__YearDuration,s__Entity) )).++fof(kb_SUMOcache_1844,axiom,(+ s__instance(s__properPart__m,s__Relation) )).++fof(kb_SUMOcache_1845,axiom,(+ s__instance(s__properPart__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1846,axiom,(+ s__instance(s__properPart__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1847,axiom,(+ s__instance(s__properPart__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1848,axiom,(+ s__instance(s__properPart__m,s__Predicate) )).++fof(kb_SUMOcache_1849,axiom,(+ s__instance(s__properPart__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1850,axiom,(+ s__instance(s__properPart__m,s__Abstract) )).++fof(kb_SUMOcache_1851,axiom,(+ s__instance(s__properPart__m,s__Entity) )).++fof(kb_SUMOcache_1852,axiom,(+ s__instance(s__Inch,s__Quantity) )).++fof(kb_SUMOcache_1853,axiom,(+ s__instance(s__Inch,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_1854,axiom,(+ s__instance(s__Inch,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1855,axiom,(+ s__instance(s__Inch,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1856,axiom,(+ s__instance(s__Inch,s__Entity) )).++fof(kb_SUMOcache_1857,axiom,(+ s__instance(s__Inch,s__Abstract) )).++fof(kb_SUMOcache_1858,axiom,(+ s__instance(s__truth__m,s__Relation) )).++fof(kb_SUMOcache_1859,axiom,(+ s__instance(s__truth__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1860,axiom,(+ s__instance(s__truth__m,s__Predicate) )).++fof(kb_SUMOcache_1861,axiom,(+ s__instance(s__truth__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1862,axiom,(+ s__instance(s__truth__m,s__Abstract) )).++fof(kb_SUMOcache_1863,axiom,(+ s__instance(s__truth__m,s__Entity) )).++fof(kb_SUMOcache_1864,axiom,(+ s__instance(s__atomicNumber__m,s__Relation) )).++fof(kb_SUMOcache_1865,axiom,(+ s__instance(s__atomicNumber__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1866,axiom,(+ s__instance(s__atomicNumber__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1867,axiom,(+ s__instance(s__atomicNumber__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1868,axiom,(+ s__instance(s__atomicNumber__m,s__Predicate) )).++fof(kb_SUMOcache_1869,axiom,(+ s__instance(s__atomicNumber__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1870,axiom,(+ s__instance(s__atomicNumber__m,s__Abstract) )).++fof(kb_SUMOcache_1871,axiom,(+ s__instance(s__atomicNumber__m,s__Entity) )).++fof(kb_SUMOcache_1872,axiom,(+ s__instance(s__AbsoluteValueFn__m,s__Relation) )).++fof(kb_SUMOcache_1873,axiom,(+ s__instance(s__AbsoluteValueFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1874,axiom,(+ s__instance(s__AbsoluteValueFn__m,s__Function) )).++fof(kb_SUMOcache_1875,axiom,(+ s__instance(s__AbsoluteValueFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1876,axiom,(+ s__instance(s__AbsoluteValueFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1877,axiom,(+ s__instance(s__AbsoluteValueFn__m,s__Abstract) )).++fof(kb_SUMOcache_1878,axiom,(+ s__instance(s__AbsoluteValueFn__m,s__Entity) )).++fof(kb_SUMOcache_1879,axiom,(+ s__instance(s__YearFn__m,s__Relation) )).++fof(kb_SUMOcache_1880,axiom,(+ s__instance(s__YearFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1881,axiom,(+ s__instance(s__YearFn__m,s__Function) )).++fof(kb_SUMOcache_1882,axiom,(+ s__instance(s__YearFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1883,axiom,(+ s__instance(s__YearFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1884,axiom,(+ s__instance(s__YearFn__m,s__Abstract) )).++fof(kb_SUMOcache_1885,axiom,(+ s__instance(s__YearFn__m,s__Entity) )).++fof(kb_SUMOcache_1886,axiom,(+ s__instance(s__citizen__m,s__Relation) )).++fof(kb_SUMOcache_1887,axiom,(+ s__instance(s__citizen__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1888,axiom,(+ s__instance(s__citizen__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1889,axiom,(+ s__instance(s__citizen__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1890,axiom,(+ s__instance(s__citizen__m,s__Predicate) )).++fof(kb_SUMOcache_1891,axiom,(+ s__instance(s__citizen__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1892,axiom,(+ s__instance(s__citizen__m,s__Abstract) )).++fof(kb_SUMOcache_1893,axiom,(+ s__instance(s__citizen__m,s__Entity) )).++fof(kb_SUMOcache_1894,axiom,(+ s__instance(s__Becquerel,s__Quantity) )).++fof(kb_SUMOcache_1895,axiom,(+ s__instance(s__Becquerel,s__UnitOfMeasure) )).++fof(kb_SUMOcache_1896,axiom,(+ s__instance(s__Becquerel,s__PhysicalQuantity) )).++fof(kb_SUMOcache_1897,axiom,(+ s__instance(s__Becquerel,s__Abstract) )).++fof(kb_SUMOcache_1898,axiom,(+ s__instance(s__Becquerel,s__Entity) )).++fof(kb_SUMOcache_1899,axiom,(+ s__instance(s__Right,s__Attribute) )).++fof(kb_SUMOcache_1900,axiom,(+ s__instance(s__Attribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_1901,axiom,(+ s__instance(s__Right,s__RelationalAttribute) )).++fof(kb_SUMOcache_1902,axiom,(+ s__instance(s__Right,s__Entity) )).++fof(kb_SUMOcache_1903,axiom,(+ s__instance(s__Right,s__Abstract) )).++fof(kb_SUMOcache_1904,axiom,(+ s__instance(s__PathWeightFn__m,s__Relation) )).++fof(kb_SUMOcache_1905,axiom,(+ s__instance(s__PathWeightFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1906,axiom,(+ s__instance(s__PathWeightFn__m,s__Function) )).++fof(kb_SUMOcache_1907,axiom,(+ s__instance(s__PathWeightFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1908,axiom,(+ s__instance(s__PathWeightFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1909,axiom,(+ s__instance(s__PathWeightFn__m,s__Abstract) )).++fof(kb_SUMOcache_1910,axiom,(+ s__instance(s__PathWeightFn__m,s__Entity) )).++fof(kb_SUMOcache_1911,axiom,(+ s__instance(s__RelativeTimeFn__m,s__Relation) )).++fof(kb_SUMOcache_1912,axiom,(+ s__instance(s__RelativeTimeFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1913,axiom,(+ s__instance(s__RelativeTimeFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1914,axiom,(+ s__instance(s__RelativeTimeFn__m,s__Function) )).++fof(kb_SUMOcache_1915,axiom,(+ s__instance(s__RelativeTimeFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1916,axiom,(+ s__instance(s__RelativeTimeFn__m,s__Abstract) )).++fof(kb_SUMOcache_1917,axiom,(+ s__instance(s__RelativeTimeFn__m,s__Entity) )).++fof(kb_SUMOcache_1918,axiom,(+ s__instance(s__Smooth,s__Attribute) )).++fof(kb_SUMOcache_1919,axiom,(+ s__instance(s__Smooth,s__PerceptualAttribute) )).++fof(kb_SUMOcache_1920,axiom,(+ s__instance(s__Smooth,s__Abstract) )).++fof(kb_SUMOcache_1921,axiom,(+ s__instance(s__Smooth,s__Entity) )).++fof(kb_SUMOcache_1922,axiom,(+ s__instance(s__Yellow,s__VisualAttribute) )).++fof(kb_SUMOcache_1923,axiom,(+ s__instance(s__Yellow,s__Attribute) )).++fof(kb_SUMOcache_1924,axiom,(+ s__instance(s__Yellow,s__PerceptualAttribute) )).++fof(kb_SUMOcache_1925,axiom,(+ s__instance(s__Yellow,s__ColorAttribute) )).++fof(kb_SUMOcache_1926,axiom,(+ s__instance(s__Yellow,s__Entity) )).++fof(kb_SUMOcache_1927,axiom,(+ s__instance(s__Yellow,s__Abstract) )).++fof(kb_SUMOcache_1928,axiom,(+ s__instance(s__relatedExternalConcept__m,s__Relation) )).++fof(kb_SUMOcache_1929,axiom,(+ s__instance(s__relatedExternalConcept__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1930,axiom,(+ s__instance(s__relatedExternalConcept__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1931,axiom,(+ s__instance(s__relatedExternalConcept__m,s__Predicate) )).++fof(kb_SUMOcache_1932,axiom,(+ s__instance(s__relatedExternalConcept__m,s__Abstract) )).++fof(kb_SUMOcache_1933,axiom,(+ s__instance(s__relatedExternalConcept__m,s__Entity) )).++fof(kb_SUMOcache_1934,axiom,(+ s__instance(s__material__m,s__Relation) )).++fof(kb_SUMOcache_1935,axiom,(+ s__instance(s__material__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1936,axiom,(+ s__instance(s__material__m,s__Predicate) )).++fof(kb_SUMOcache_1937,axiom,(+ s__instance(s__material__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1938,axiom,(+ s__instance(s__material__m,s__Abstract) )).++fof(kb_SUMOcache_1939,axiom,(+ s__instance(s__material__m,s__Entity) )).++fof(kb_SUMOcache_1940,axiom,(+ s__instance(s__HoleSkinFn__m,s__Relation) )).++fof(kb_SUMOcache_1941,axiom,(+ s__instance(s__HoleSkinFn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1942,axiom,(+ s__instance(s__HoleSkinFn__m,s__Function) )).++fof(kb_SUMOcache_1943,axiom,(+ s__instance(s__HoleSkinFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1944,axiom,(+ s__instance(s__HoleSkinFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1945,axiom,(+ s__instance(s__HoleSkinFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1946,axiom,(+ s__instance(s__HoleSkinFn__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1947,axiom,(+ s__instance(s__HoleSkinFn__m,s__Entity) )).++fof(kb_SUMOcache_1948,axiom,(+ s__instance(s__HoleSkinFn__m,s__Abstract) )).++fof(kb_SUMOcache_1949,axiom,(+ s__instance(s__Unlikely,s__ObjectiveNorm) )).++fof(kb_SUMOcache_1950,axiom,(+ s__instance(s__Unlikely,s__NormativeAttribute) )).++fof(kb_SUMOcache_1951,axiom,(+ s__instance(s__Unlikely,s__Attribute) )).++fof(kb_SUMOcache_1952,axiom,(+ s__instance(s__Unlikely,s__RelationalAttribute) )).++fof(kb_SUMOcache_1953,axiom,(+ s__instance(s__Unlikely,s__Entity) )).++fof(kb_SUMOcache_1954,axiom,(+ s__instance(s__Unlikely,s__Abstract) )).++fof(kb_SUMOcache_1955,axiom,(+ s__instance(s__inhibits__m,s__Relation) )).++fof(kb_SUMOcache_1956,axiom,(+ s__instance(s__inhibits__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1957,axiom,(+ s__instance(s__inhibits__m,s__Predicate) )).++fof(kb_SUMOcache_1958,axiom,(+ s__instance(s__inhibits__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1959,axiom,(+ s__instance(s__inhibits__m,s__Entity) )).++fof(kb_SUMOcache_1960,axiom,(+ s__instance(s__inhibits__m,s__Abstract) )).++fof(kb_SUMOcache_1961,axiom,(+ s__instance(s__equivalentContentClass__m,s__Relation) )).++fof(kb_SUMOcache_1962,axiom,(+ s__instance(s__equivalentContentClass__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1963,axiom,(+ s__instance(s__equivalentContentClass__m,s__Predicate) )).++fof(kb_SUMOcache_1964,axiom,(+ s__instance(s__equivalentContentClass__m,s__SymmetricRelation) )).++fof(kb_SUMOcache_1965,axiom,(+ s__instance(s__SymmetricRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_1966,axiom,(+ s__instance(s__equivalentContentClass__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_1967,axiom,(+ s__instance(s__ReflexiveRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_1968,axiom,(+ s__instance(s__equivalentContentClass__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1969,axiom,(+ s__instance(s__BinaryRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_1970,axiom,(+ s__instance(s__equivalentContentClass__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_1971,axiom,(+ s__instance(s__TransitiveRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_1972,axiom,(+ s__instance(s__equivalentContentClass__m,s__Abstract) )).++fof(kb_SUMOcache_1973,axiom,(+ s__instance(s__equivalentContentClass__m,s__Entity) )).++fof(kb_SUMOcache_1974,axiom,(+ s__instance(s__ImmediatePastFn__m,s__Relation) )).++fof(kb_SUMOcache_1975,axiom,(+ s__instance(s__ImmediatePastFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1976,axiom,(+ s__instance(s__ImmediatePastFn__m,s__Function) )).++fof(kb_SUMOcache_1977,axiom,(+ s__instance(s__ImmediatePastFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_1978,axiom,(+ s__instance(s__ImmediatePastFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1979,axiom,(+ s__instance(s__ImmediatePastFn__m,s__Abstract) )).++fof(kb_SUMOcache_1980,axiom,(+ s__instance(s__ImmediatePastFn__m,s__Entity) )).++fof(kb_SUMOcache_1981,axiom,(+ s__instance(s__valence__m,s__Relation) )).++fof(kb_SUMOcache_1982,axiom,(+ s__instance(s__valence__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1983,axiom,(+ s__instance(s__valence__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_1984,axiom,(+ s__instance(s__valence__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_1985,axiom,(+ s__instance(s__valence__m,s__Predicate) )).++fof(kb_SUMOcache_1986,axiom,(+ s__instance(s__valence__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1987,axiom,(+ s__instance(s__valence__m,s__Abstract) )).++fof(kb_SUMOcache_1988,axiom,(+ s__instance(s__valence__m,s__Entity) )).++fof(kb_SUMOcache_1989,axiom,(+ s__instance(s__documentation__m,s__Relation) )).++fof(kb_SUMOcache_1990,axiom,(+ s__instance(s__documentation__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1991,axiom,(+ s__instance(s__documentation__m,s__TernaryRelation) )).++fof(kb_SUMOcache_1992,axiom,(+ s__instance(s__documentation__m,s__Predicate) )).++fof(kb_SUMOcache_1993,axiom,(+ s__instance(s__documentation__m,s__Abstract) )).++fof(kb_SUMOcache_1994,axiom,(+ s__instance(s__documentation__m,s__Entity) )).++fof(kb_SUMOcache_1995,axiom,(+ s__instance(s__stays__m,s__Relation) )).++fof(kb_SUMOcache_1996,axiom,(+ s__instance(s__stays__m,s__InheritableRelation) )).++fof(kb_SUMOcache_1997,axiom,(+ s__instance(s__stays__m,s__Predicate) )).++fof(kb_SUMOcache_1998,axiom,(+ s__instance(s__stays__m,s__BinaryRelation) )).++fof(kb_SUMOcache_1999,axiom,(+ s__instance(s__stays__m,s__Abstract) )).++fof(kb_SUMOcache_2000,axiom,(+ s__instance(s__stays__m,s__Entity) )).++fof(kb_SUMOcache_2001,axiom,(+ s__instance(s__part__m,s__Relation) )).++fof(kb_SUMOcache_2002,axiom,(+ s__instance(s__part__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2003,axiom,(+ s__instance(s__part__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2004,axiom,(+ s__instance(s__part__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_2005,axiom,(+ s__instance(s__part__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2006,axiom,(+ s__instance(s__part__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_2007,axiom,(+ s__instance(s__part__m,s__Abstract) )).++fof(kb_SUMOcache_2008,axiom,(+ s__instance(s__part__m,s__Entity) )).++fof(kb_SUMOcache_2009,axiom,(+ s__instance(s__Female,s__BiologicalAttribute) )).++fof(kb_SUMOcache_2010,axiom,(+ s__instance(s__Female,s__Attribute) )).++fof(kb_SUMOcache_2011,axiom,(+ s__instance(s__Female,s__InternalAttribute) )).++fof(kb_SUMOcache_2012,axiom,(+ s__instance(s__Female,s__Abstract) )).++fof(kb_SUMOcache_2013,axiom,(+ s__instance(s__Female,s__Entity) )).++fof(kb_SUMOcache_2014,axiom,(+ s__instance(s__Flammable,s__Attribute) )).++fof(kb_SUMOcache_2015,axiom,(+ s__instance(s__Flammable,s__InternalAttribute) )).++fof(kb_SUMOcache_2016,axiom,(+ s__instance(s__InternalAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_2017,axiom,(+ s__instance(s__Flammable,s__Entity) )).++fof(kb_SUMOcache_2018,axiom,(+ s__instance(s__Flammable,s__Abstract) )).++fof(kb_SUMOcache_2019,axiom,(+ s__instance(s__successorAttributeClosure__m,s__Relation) )).++fof(kb_SUMOcache_2020,axiom,(+ s__instance(s__successorAttributeClosure__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2021,axiom,(+ s__instance(s__successorAttributeClosure__m,s__Predicate) )).++fof(kb_SUMOcache_2022,axiom,(+ s__instance(s__successorAttributeClosure__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2023,axiom,(+ s__instance(s__successorAttributeClosure__m,s__Entity) )).++fof(kb_SUMOcache_2024,axiom,(+ s__instance(s__successorAttributeClosure__m,s__Abstract) )).++fof(kb_SUMOcache_2025,axiom,(+ s__instance(s__externalImage__m,s__Relation) )).++fof(kb_SUMOcache_2026,axiom,(+ s__instance(s__externalImage__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2027,axiom,(+ s__instance(s__externalImage__m,s__Predicate) )).++fof(kb_SUMOcache_2028,axiom,(+ s__instance(s__externalImage__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2029,axiom,(+ s__instance(s__externalImage__m,s__Abstract) )).++fof(kb_SUMOcache_2030,axiom,(+ s__instance(s__externalImage__m,s__Entity) )).++fof(kb_SUMOcache_2031,axiom,(+ s__instance(s__Horsepower,s__Quantity) )).++fof(kb_SUMOcache_2032,axiom,(+ s__instance(s__Horsepower,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2033,axiom,(+ s__instance(s__Horsepower,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2034,axiom,(+ s__instance(s__Horsepower,s__Abstract) )).++fof(kb_SUMOcache_2035,axiom,(+ s__instance(s__Horsepower,s__Entity) )).++fof(kb_SUMOcache_2036,axiom,(+ s__instance(s__faces__m,s__Relation) )).++fof(kb_SUMOcache_2037,axiom,(+ s__instance(s__faces__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2038,axiom,(+ s__instance(s__faces__m,s__Predicate) )).++fof(kb_SUMOcache_2039,axiom,(+ s__instance(s__faces__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2040,axiom,(+ s__instance(s__faces__m,s__Abstract) )).++fof(kb_SUMOcache_2041,axiom,(+ s__instance(s__faces__m,s__Entity) )).++fof(kb_SUMOcache_2042,axiom,(+ s__instance(s__developmentalForm__m,s__Relation) )).++fof(kb_SUMOcache_2043,axiom,(+ s__instance(s__developmentalForm__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2044,axiom,(+ s__instance(s__developmentalForm__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2045,axiom,(+ s__instance(s__developmentalForm__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2046,axiom,(+ s__instance(s__developmentalForm__m,s__Predicate) )).++fof(kb_SUMOcache_2047,axiom,(+ s__instance(s__developmentalForm__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2048,axiom,(+ s__instance(s__developmentalForm__m,s__Abstract) )).++fof(kb_SUMOcache_2049,axiom,(+ s__instance(s__developmentalForm__m,s__Entity) )).++fof(kb_SUMOcache_2050,axiom,(+ s__instance(s__Quart,s__Quantity) )).++fof(kb_SUMOcache_2051,axiom,(+ s__instance(s__Quart,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2052,axiom,(+ s__instance(s__Quart,s__CompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2053,axiom,(+ s__instance(s__Quart,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2054,axiom,(+ s__instance(s__Quart,s__Abstract) )).++fof(kb_SUMOcache_2055,axiom,(+ s__instance(s__Quart,s__Entity) )).++fof(kb_SUMOcache_2056,axiom,(+ s__instance(s__CutSetFn__m,s__Relation) )).++fof(kb_SUMOcache_2057,axiom,(+ s__instance(s__CutSetFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2058,axiom,(+ s__instance(s__CutSetFn__m,s__Function) )).++fof(kb_SUMOcache_2059,axiom,(+ s__instance(s__CutSetFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2060,axiom,(+ s__instance(s__CutSetFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2061,axiom,(+ s__instance(s__CutSetFn__m,s__Abstract) )).++fof(kb_SUMOcache_2062,axiom,(+ s__instance(s__CutSetFn__m,s__Entity) )).++fof(kb_SUMOcache_2063,axiom,(+ s__instance(s__angleOfFigure__m,s__Relation) )).++fof(kb_SUMOcache_2064,axiom,(+ s__instance(s__angleOfFigure__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2065,axiom,(+ s__instance(s__angleOfFigure__m,s__Predicate) )).++fof(kb_SUMOcache_2066,axiom,(+ s__instance(s__angleOfFigure__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2067,axiom,(+ s__instance(s__angleOfFigure__m,s__Abstract) )).++fof(kb_SUMOcache_2068,axiom,(+ s__instance(s__angleOfFigure__m,s__Entity) )).++fof(kb_SUMOcache_2069,axiom,(+ s__instance(s__MicroFn__m,s__TotalValuedRelation) )).++fof(kb_SUMOcache_2070,axiom,(+ s__instance(s__MicroFn__m,s__Relation) )).++fof(kb_SUMOcache_2071,axiom,(+ s__instance(s__MicroFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2072,axiom,(+ s__instance(s__MicroFn__m,s__Function) )).++fof(kb_SUMOcache_2073,axiom,(+ s__instance(s__MicroFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2074,axiom,(+ s__instance(s__MicroFn__m,s__UnaryFunction) )).++fof(kb_SUMOcache_2075,axiom,(+ s__instance(s__MicroFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2076,axiom,(+ s__instance(s__MicroFn__m,s__Entity) )).++fof(kb_SUMOcache_2077,axiom,(+ s__instance(s__MicroFn__m,s__Abstract) )).++fof(kb_SUMOcache_2078,axiom,(+ s__instance(s__MilliFn__m,s__TotalValuedRelation) )).++fof(kb_SUMOcache_2079,axiom,(+ s__instance(s__MilliFn__m,s__Relation) )).++fof(kb_SUMOcache_2080,axiom,(+ s__instance(s__MilliFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2081,axiom,(+ s__instance(s__MilliFn__m,s__Function) )).++fof(kb_SUMOcache_2082,axiom,(+ s__instance(s__MilliFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2083,axiom,(+ s__instance(s__MilliFn__m,s__UnaryFunction) )).++fof(kb_SUMOcache_2084,axiom,(+ s__instance(s__MilliFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2085,axiom,(+ s__instance(s__MilliFn__m,s__Entity) )).++fof(kb_SUMOcache_2086,axiom,(+ s__instance(s__MilliFn__m,s__Abstract) )).++fof(kb_SUMOcache_2087,axiom,(+ s__instance(s__IntegerSquareRootFn__m,s__Relation) )).++fof(kb_SUMOcache_2088,axiom,(+ s__instance(s__IntegerSquareRootFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2089,axiom,(+ s__instance(s__IntegerSquareRootFn__m,s__Function) )).++fof(kb_SUMOcache_2090,axiom,(+ s__instance(s__IntegerSquareRootFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2091,axiom,(+ s__instance(s__IntegerSquareRootFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2092,axiom,(+ s__instance(s__IntegerSquareRootFn__m,s__Abstract) )).++fof(kb_SUMOcache_2093,axiom,(+ s__instance(s__IntegerSquareRootFn__m,s__Entity) )).++fof(kb_SUMOcache_2094,axiom,(+ s__instance(s__subOrganization__m,s__Relation) )).++fof(kb_SUMOcache_2095,axiom,(+ s__instance(s__subOrganization__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2096,axiom,(+ s__instance(s__subOrganization__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2097,axiom,(+ s__instance(s__subOrganization__m,s__Predicate) )).++fof(kb_SUMOcache_2098,axiom,(+ s__instance(s__subOrganization__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_2099,axiom,(+ s__instance(s__subOrganization__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2100,axiom,(+ s__instance(s__subOrganization__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_2101,axiom,(+ s__instance(s__subOrganization__m,s__Abstract) )).++fof(kb_SUMOcache_2102,axiom,(+ s__instance(s__subOrganization__m,s__Entity) )).++fof(kb_SUMOcache_2103,axiom,(+ s__instance(s__occupiesPosition__m,s__Relation) )).++fof(kb_SUMOcache_2104,axiom,(+ s__instance(s__occupiesPosition__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2105,axiom,(+ s__instance(s__occupiesPosition__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2106,axiom,(+ s__instance(s__occupiesPosition__m,s__Predicate) )).++fof(kb_SUMOcache_2107,axiom,(+ s__instance(s__occupiesPosition__m,s__Abstract) )).++fof(kb_SUMOcache_2108,axiom,(+ s__instance(s__occupiesPosition__m,s__Entity) )).++fof(kb_SUMOcache_2109,axiom,(+ s__instance(s__PropertyFn__m,s__Relation) )).++fof(kb_SUMOcache_2110,axiom,(+ s__instance(s__PropertyFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2111,axiom,(+ s__instance(s__PropertyFn__m,s__Function) )).++fof(kb_SUMOcache_2112,axiom,(+ s__instance(s__PropertyFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2113,axiom,(+ s__instance(s__PropertyFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2114,axiom,(+ s__instance(s__PropertyFn__m,s__Abstract) )).++fof(kb_SUMOcache_2115,axiom,(+ s__instance(s__PropertyFn__m,s__Entity) )).++fof(kb_SUMOcache_2116,axiom,(+ s__instance(s__MegaByte,s__Quantity) )).++fof(kb_SUMOcache_2117,axiom,(+ s__instance(s__MegaByte,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2118,axiom,(+ s__instance(s__MegaByte,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2119,axiom,(+ s__instance(s__MegaByte,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2120,axiom,(+ s__instance(s__MegaByte,s__Abstract) )).++fof(kb_SUMOcache_2121,axiom,(+ s__instance(s__MegaByte,s__Entity) )).++fof(kb_SUMOcache_2122,axiom,(+ s__instance(greatereq__m,s__Relation) )).++fof(kb_SUMOcache_2123,axiom,(+ s__instance(greatereq__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2124,axiom,(+ s__instance(greatereq__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2125,axiom,(+ s__instance(greatereq__m,s__Predicate) )).++fof(kb_SUMOcache_2126,axiom,(+ s__instance(greatereq__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_2127,axiom,(+ s__instance(greatereq__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2128,axiom,(+ s__instance(greatereq__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_2129,axiom,(+ s__instance(greatereq__m,s__Abstract) )).++fof(kb_SUMOcache_2130,axiom,(+ s__instance(greatereq__m,s__Entity) )).++fof(kb_SUMOcache_2131,axiom,(+ s__instance(s__NumberE,s__Quantity) )).++fof(kb_SUMOcache_2132,axiom,(+ s__instance(s__NumberE,s__Number) )).++fof(kb_SUMOcache_2133,axiom,(+ s__instance(s__NumberE,s__NonnegativeRealNumber) )).++fof(kb_SUMOcache_2134,axiom,(+ s__instance(s__NonnegativeRealNumber__t,s__SetOrClass) )).++fof(kb_SUMOcache_2135,axiom,(+ s__instance(s__NumberE,s__RealNumber) )).++fof(kb_SUMOcache_2136,axiom,(+ s__instance(s__NumberE,s__Abstract) )).++fof(kb_SUMOcache_2137,axiom,(+ s__instance(s__NumberE,s__Entity) )).++fof(kb_SUMOcache_2138,axiom,(+ s__instance(s__reflexiveOn__m,s__Relation) )).++fof(kb_SUMOcache_2139,axiom,(+ s__instance(s__reflexiveOn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2140,axiom,(+ s__instance(s__reflexiveOn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2141,axiom,(+ s__instance(s__reflexiveOn__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2142,axiom,(+ s__instance(s__reflexiveOn__m,s__Predicate) )).++fof(kb_SUMOcache_2143,axiom,(+ s__instance(s__reflexiveOn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2144,axiom,(+ s__instance(s__reflexiveOn__m,s__Abstract) )).++fof(kb_SUMOcache_2145,axiom,(+ s__instance(s__reflexiveOn__m,s__Entity) )).++fof(kb_SUMOcache_2146,axiom,(+ s__instance(s__instance__m,s__Relation) )).++fof(kb_SUMOcache_2147,axiom,(+ s__instance(s__instance__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2148,axiom,(+ s__instance(s__instance__m,s__Predicate) )).++fof(kb_SUMOcache_2149,axiom,(+ s__instance(s__instance__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2150,axiom,(+ s__instance(s__instance__m,s__Abstract) )).++fof(kb_SUMOcache_2151,axiom,(+ s__instance(s__instance__m,s__Entity) )).++fof(kb_SUMOcache_2152,axiom,(+ s__instance(s__subsumesContentInstance__m,s__Relation) )).++fof(kb_SUMOcache_2153,axiom,(+ s__instance(s__subsumesContentInstance__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2154,axiom,(+ s__instance(s__subsumesContentInstance__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2155,axiom,(+ s__instance(s__subsumesContentInstance__m,s__Predicate) )).++fof(kb_SUMOcache_2156,axiom,(+ s__instance(s__subsumesContentInstance__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_2157,axiom,(+ s__instance(s__subsumesContentInstance__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2158,axiom,(+ s__instance(s__subsumesContentInstance__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_2159,axiom,(+ s__instance(s__subsumesContentInstance__m,s__Abstract) )).++fof(kb_SUMOcache_2160,axiom,(+ s__instance(s__subsumesContentInstance__m,s__Entity) )).++fof(kb_SUMOcache_2161,axiom,(+ s__instance(s__Unilluminated,s__Attribute) )).++fof(kb_SUMOcache_2162,axiom,(+ s__instance(s__Unilluminated,s__PerceptualAttribute) )).++fof(kb_SUMOcache_2163,axiom,(+ s__instance(s__Unilluminated,s__Abstract) )).++fof(kb_SUMOcache_2164,axiom,(+ s__instance(s__Unilluminated,s__Entity) )).++fof(kb_SUMOcache_2165,axiom,(+ s__instance(s__totalOrderingOn__m,s__Relation) )).++fof(kb_SUMOcache_2166,axiom,(+ s__instance(s__totalOrderingOn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2167,axiom,(+ s__instance(s__totalOrderingOn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2168,axiom,(+ s__instance(s__totalOrderingOn__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2169,axiom,(+ s__instance(s__totalOrderingOn__m,s__Predicate) )).++fof(kb_SUMOcache_2170,axiom,(+ s__instance(s__totalOrderingOn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2171,axiom,(+ s__instance(s__totalOrderingOn__m,s__Abstract) )).++fof(kb_SUMOcache_2172,axiom,(+ s__instance(s__totalOrderingOn__m,s__Entity) )).++fof(kb_SUMOcache_2173,axiom,(+ s__instance(s__CoordinatedUniversalTimeZone,s__Attribute) )).++fof(kb_SUMOcache_2174,axiom,(+ s__instance(s__CoordinatedUniversalTimeZone,s__RelationalAttribute) )).++fof(kb_SUMOcache_2175,axiom,(+ s__instance(s__CoordinatedUniversalTimeZone,s__Entity) )).++fof(kb_SUMOcache_2176,axiom,(+ s__instance(s__CoordinatedUniversalTimeZone,s__Abstract) )).++fof(kb_SUMOcache_2177,axiom,(+ s__instance(s__width__m,s__Relation) )).++fof(kb_SUMOcache_2178,axiom,(+ s__instance(s__width__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2179,axiom,(+ s__instance(s__width__m,s__Predicate) )).++fof(kb_SUMOcache_2180,axiom,(+ s__instance(s__width__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2181,axiom,(+ s__instance(s__width__m,s__Abstract) )).++fof(kb_SUMOcache_2182,axiom,(+ s__instance(s__width__m,s__Entity) )).++fof(kb_SUMOcache_2183,axiom,(+ s__instance(s__disjoint__m,s__Relation) )).++fof(kb_SUMOcache_2184,axiom,(+ s__instance(s__disjoint__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2185,axiom,(+ s__instance(s__disjoint__m,s__Predicate) )).++fof(kb_SUMOcache_2186,axiom,(+ s__instance(s__disjoint__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2187,axiom,(+ s__instance(s__disjoint__m,s__Abstract) )).++fof(kb_SUMOcache_2188,axiom,(+ s__instance(s__disjoint__m,s__Entity) )).++fof(kb_SUMOcache_2189,axiom,(+ s__instance(s__Pi,s__Quantity) )).++fof(kb_SUMOcache_2190,axiom,(+ s__instance(s__Pi,s__Number) )).++fof(kb_SUMOcache_2191,axiom,(+ s__instance(s__Pi,s__NonnegativeRealNumber) )).++fof(kb_SUMOcache_2192,axiom,(+ s__instance(s__Pi,s__RealNumber) )).++fof(kb_SUMOcache_2193,axiom,(+ s__instance(s__Pi,s__Abstract) )).++fof(kb_SUMOcache_2194,axiom,(+ s__instance(s__Pi,s__Entity) )).++fof(kb_SUMOcache_2195,axiom,(+ s__instance(s__RoundFn__m,s__Relation) )).++fof(kb_SUMOcache_2196,axiom,(+ s__instance(s__RoundFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2197,axiom,(+ s__instance(s__RoundFn__m,s__Function) )).++fof(kb_SUMOcache_2198,axiom,(+ s__instance(s__RoundFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2199,axiom,(+ s__instance(s__RoundFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2200,axiom,(+ s__instance(s__RoundFn__m,s__Abstract) )).++fof(kb_SUMOcache_2201,axiom,(+ s__instance(s__RoundFn__m,s__Entity) )).++fof(kb_SUMOcache_2202,axiom,(+ s__instance(s__ComplementFn__m,s__Relation) )).++fof(kb_SUMOcache_2203,axiom,(+ s__instance(s__ComplementFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2204,axiom,(+ s__instance(s__ComplementFn__m,s__Function) )).++fof(kb_SUMOcache_2205,axiom,(+ s__instance(s__ComplementFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2206,axiom,(+ s__instance(s__ComplementFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2207,axiom,(+ s__instance(s__ComplementFn__m,s__Abstract) )).++fof(kb_SUMOcache_2208,axiom,(+ s__instance(s__ComplementFn__m,s__Entity) )).++fof(kb_SUMOcache_2209,axiom,(+ s__instance(s__UnitedKingdomGallon,s__Quantity) )).++fof(kb_SUMOcache_2210,axiom,(+ s__instance(s__UnitedKingdomGallon,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2211,axiom,(+ s__instance(s__UnitedKingdomGallon,s__CompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2212,axiom,(+ s__instance(s__UnitedKingdomGallon,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2213,axiom,(+ s__instance(s__UnitedKingdomGallon,s__Abstract) )).++fof(kb_SUMOcache_2214,axiom,(+ s__instance(s__UnitedKingdomGallon,s__Entity) )).++fof(kb_SUMOcache_2215,axiom,(+ s__instance('$true__m',s__Attribute) )).++fof(kb_SUMOcache_2216,axiom,(+ s__instance('$true__m',s__RelationalAttribute) )).++fof(kb_SUMOcache_2217,axiom,(+ s__instance('$true__m',s__Abstract) )).++fof(kb_SUMOcache_2218,axiom,(+ s__instance('$true__m',s__Entity) )).++fof(kb_SUMOcache_2219,axiom,(+ s__instance(s__Calorie,s__Quantity) )).++fof(kb_SUMOcache_2220,axiom,(+ s__instance(s__Calorie,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2221,axiom,(+ s__instance(s__Calorie,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2222,axiom,(+ s__instance(s__Calorie,s__Abstract) )).++fof(kb_SUMOcache_2223,axiom,(+ s__instance(s__Calorie,s__Entity) )).++fof(kb_SUMOcache_2224,axiom,(+ s__instance(s__relatedInternalConcept__m,s__Relation) )).++fof(kb_SUMOcache_2225,axiom,(+ s__instance(s__relatedInternalConcept__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2226,axiom,(+ s__instance(s__relatedInternalConcept__m,s__Predicate) )).++fof(kb_SUMOcache_2227,axiom,(+ s__instance(s__relatedInternalConcept__m,s__SymmetricRelation) )).++fof(kb_SUMOcache_2228,axiom,(+ s__instance(s__relatedInternalConcept__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_2229,axiom,(+ s__instance(s__relatedInternalConcept__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2230,axiom,(+ s__instance(s__relatedInternalConcept__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_2231,axiom,(+ s__instance(s__relatedInternalConcept__m,s__Abstract) )).++fof(kb_SUMOcache_2232,axiom,(+ s__instance(s__relatedInternalConcept__m,s__Entity) )).++fof(kb_SUMOcache_2233,axiom,(+ s__instance(s__Millimeter,s__Quantity) )).++fof(kb_SUMOcache_2234,axiom,(+ s__instance(s__Millimeter,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2235,axiom,(+ s__instance(s__Millimeter,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2236,axiom,(+ s__instance(s__Millimeter,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2237,axiom,(+ s__instance(s__Millimeter,s__Entity) )).++fof(kb_SUMOcache_2238,axiom,(+ s__instance(s__Millimeter,s__Abstract) )).++fof(kb_SUMOcache_2239,axiom,(+ s__instance(s__MinimalWeightedPathFn__m,s__Relation) )).++fof(kb_SUMOcache_2240,axiom,(+ s__instance(s__MinimalWeightedPathFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2241,axiom,(+ s__instance(s__MinimalWeightedPathFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2242,axiom,(+ s__instance(s__MinimalWeightedPathFn__m,s__Function) )).++fof(kb_SUMOcache_2243,axiom,(+ s__instance(s__MinimalWeightedPathFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2244,axiom,(+ s__instance(s__MinimalWeightedPathFn__m,s__Abstract) )).++fof(kb_SUMOcache_2245,axiom,(+ s__instance(s__MinimalWeightedPathFn__m,s__Entity) )).++fof(kb_SUMOcache_2246,axiom,(+ s__instance(s__Bit,s__Quantity) )).++fof(kb_SUMOcache_2247,axiom,(+ s__instance(s__Bit,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2248,axiom,(+ s__instance(s__Bit,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2249,axiom,(+ s__instance(s__Bit,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2250,axiom,(+ s__instance(s__Bit,s__Abstract) )).++fof(kb_SUMOcache_2251,axiom,(+ s__instance(s__Bit,s__Entity) )).++fof(kb_SUMOcache_2252,axiom,(+ s__instance(s__Farad,s__Quantity) )).++fof(kb_SUMOcache_2253,axiom,(+ s__instance(s__Farad,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2254,axiom,(+ s__instance(s__Farad,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2255,axiom,(+ s__instance(s__Farad,s__Abstract) )).++fof(kb_SUMOcache_2256,axiom,(+ s__instance(s__Farad,s__Entity) )).++fof(kb_SUMOcache_2257,axiom,(+ s__instance(s__Prohibition,s__ObjectiveNorm) )).++fof(kb_SUMOcache_2258,axiom,(+ s__instance(s__Prohibition,s__NormativeAttribute) )).++fof(kb_SUMOcache_2259,axiom,(+ s__instance(s__Prohibition,s__Attribute) )).++fof(kb_SUMOcache_2260,axiom,(+ s__instance(s__Prohibition,s__RelationalAttribute) )).++fof(kb_SUMOcache_2261,axiom,(+ s__instance(s__Prohibition,s__Entity) )).++fof(kb_SUMOcache_2262,axiom,(+ s__instance(s__Prohibition,s__Abstract) )).++fof(kb_SUMOcache_2263,axiom,(+ s__instance(s__Solid,s__Attribute) )).++fof(kb_SUMOcache_2264,axiom,(+ s__instance(s__Solid,s__InternalAttribute) )).++fof(kb_SUMOcache_2265,axiom,(+ s__instance(s__Solid,s__Abstract) )).++fof(kb_SUMOcache_2266,axiom,(+ s__instance(s__Solid,s__Entity) )).++fof(kb_SUMOcache_2267,axiom,(+ s__instance(s__result__m,s__Relation) )).++fof(kb_SUMOcache_2268,axiom,(+ s__instance(s__result__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2269,axiom,(+ s__instance(s__result__m,s__Predicate) )).++fof(kb_SUMOcache_2270,axiom,(+ s__instance(s__result__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2271,axiom,(+ s__instance(s__result__m,s__Abstract) )).++fof(kb_SUMOcache_2272,axiom,(+ s__instance(s__result__m,s__Entity) )).++fof(kb_SUMOcache_2273,axiom,(+ s__instance(s__weight__m,s__Relation) )).++fof(kb_SUMOcache_2274,axiom,(+ s__instance(s__weight__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2275,axiom,(+ s__instance(s__weight__m,s__Predicate) )).++fof(kb_SUMOcache_2276,axiom,(+ s__instance(s__weight__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2277,axiom,(+ s__instance(s__weight__m,s__Abstract) )).++fof(kb_SUMOcache_2278,axiom,(+ s__instance(s__weight__m,s__Entity) )).++fof(kb_SUMOcache_2279,axiom,(+ s__instance(s__SuccessorFn__m,s__Relation) )).++fof(kb_SUMOcache_2280,axiom,(+ s__instance(s__SuccessorFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2281,axiom,(+ s__instance(s__SuccessorFn__m,s__Function) )).++fof(kb_SUMOcache_2282,axiom,(+ s__instance(s__SuccessorFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2283,axiom,(+ s__instance(s__SuccessorFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2284,axiom,(+ s__instance(s__SuccessorFn__m,s__Abstract) )).++fof(kb_SUMOcache_2285,axiom,(+ s__instance(s__SuccessorFn__m,s__Entity) )).++fof(kb_SUMOcache_2286,axiom,(+ s__instance(s__Centimeter,s__Quantity) )).++fof(kb_SUMOcache_2287,axiom,(+ s__instance(s__Centimeter,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2288,axiom,(+ s__instance(s__Centimeter,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2289,axiom,(+ s__instance(s__Centimeter,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2290,axiom,(+ s__instance(s__Centimeter,s__Entity) )).++fof(kb_SUMOcache_2291,axiom,(+ s__instance(s__Centimeter,s__Abstract) )).++fof(kb_SUMOcache_2292,axiom,(+ s__instance(s__EnglishLanguage,s__Physical) )).++fof(kb_SUMOcache_2293,axiom,(+ s__instance(s__EnglishLanguage,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_2294,axiom,(+ s__instance(s__EnglishLanguage,s__LinguisticExpression) )).++fof(kb_SUMOcache_2295,axiom,(+ s__instance(s__LinguisticExpression__t,s__SetOrClass) )).++fof(kb_SUMOcache_2296,axiom,(+ s__instance(s__EnglishLanguage,s__Language) )).++fof(kb_SUMOcache_2297,axiom,(+ s__instance(s__EnglishLanguage,s__HumanLanguage) )).++fof(kb_SUMOcache_2298,axiom,(+ s__instance(s__EnglishLanguage,s__Entity) )).++fof(kb_SUMOcache_2299,axiom,(+ s__instance(s__contraryAttribute__m,s__Relation) )).++fof(kb_SUMOcache_2300,axiom,(+ s__instance(s__contraryAttribute__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2301,axiom,(+ s__instance(s__contraryAttribute__m,s__Abstract) )).++fof(kb_SUMOcache_2302,axiom,(+ s__instance(s__contraryAttribute__m,s__Entity) )).++fof(kb_SUMOcache_2303,axiom,(+ s__instance(s__PastFn__m,s__Relation) )).++fof(kb_SUMOcache_2304,axiom,(+ s__instance(s__PastFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2305,axiom,(+ s__instance(s__PastFn__m,s__Function) )).++fof(kb_SUMOcache_2306,axiom,(+ s__instance(s__PastFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2307,axiom,(+ s__instance(s__PastFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2308,axiom,(+ s__instance(s__PastFn__m,s__Abstract) )).++fof(kb_SUMOcache_2309,axiom,(+ s__instance(s__PastFn__m,s__Entity) )).++fof(kb_SUMOcache_2310,axiom,(+ s__instance(s__successorAttribute__m,s__Relation) )).++fof(kb_SUMOcache_2311,axiom,(+ s__instance(s__successorAttribute__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2312,axiom,(+ s__instance(s__successorAttribute__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2313,axiom,(+ s__instance(s__successorAttribute__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2314,axiom,(+ s__instance(s__successorAttribute__m,s__Predicate) )).++fof(kb_SUMOcache_2315,axiom,(+ s__instance(s__successorAttribute__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2316,axiom,(+ s__instance(s__successorAttribute__m,s__Abstract) )).++fof(kb_SUMOcache_2317,axiom,(+ s__instance(s__successorAttribute__m,s__Entity) )).++fof(kb_SUMOcache_2318,axiom,(+ s__instance(s__MonthDuration,s__Quantity) )).++fof(kb_SUMOcache_2319,axiom,(+ s__instance(s__MonthDuration,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2320,axiom,(+ s__instance(s__MonthDuration,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2321,axiom,(+ s__instance(s__MonthDuration,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2322,axiom,(+ s__instance(s__MonthDuration,s__Abstract) )).++fof(kb_SUMOcache_2323,axiom,(+ s__instance(s__MonthDuration,s__Entity) )).++fof(kb_SUMOcache_2324,axiom,(+ s__instance(s__eventLocated__m,s__Relation) )).++fof(kb_SUMOcache_2325,axiom,(+ s__instance(s__eventLocated__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2326,axiom,(+ s__instance(s__eventLocated__m,s__Predicate) )).++fof(kb_SUMOcache_2327,axiom,(+ s__instance(s__eventLocated__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2328,axiom,(+ s__instance(s__eventLocated__m,s__Abstract) )).++fof(kb_SUMOcache_2329,axiom,(+ s__instance(s__eventLocated__m,s__Entity) )).++fof(kb_SUMOcache_2330,axiom,(+ s__instance(s__ancestor__m,s__Relation) )).++fof(kb_SUMOcache_2331,axiom,(+ s__instance(s__ancestor__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2332,axiom,(+ s__instance(s__ancestor__m,s__Predicate) )).++fof(kb_SUMOcache_2333,axiom,(+ s__instance(s__ancestor__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2334,axiom,(+ s__instance(s__ancestor__m,s__Entity) )).++fof(kb_SUMOcache_2335,axiom,(+ s__instance(s__ancestor__m,s__Abstract) )).++fof(kb_SUMOcache_2336,axiom,(+ s__instance(s__top__m,s__Relation) )).++fof(kb_SUMOcache_2337,axiom,(+ s__instance(s__top__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2338,axiom,(+ s__instance(s__top__m,s__Predicate) )).++fof(kb_SUMOcache_2339,axiom,(+ s__instance(s__top__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2340,axiom,(+ s__instance(s__top__m,s__Abstract) )).++fof(kb_SUMOcache_2341,axiom,(+ s__instance(s__top__m,s__Entity) )).++fof(kb_SUMOcache_2342,axiom,(+ s__instance(s__overlapsPartially__m,s__Relation) )).++fof(kb_SUMOcache_2343,axiom,(+ s__instance(s__overlapsPartially__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2344,axiom,(+ s__instance(s__overlapsPartially__m,s__Predicate) )).++fof(kb_SUMOcache_2345,axiom,(+ s__instance(s__overlapsPartially__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2346,axiom,(+ s__instance(s__overlapsPartially__m,s__Entity) )).++fof(kb_SUMOcache_2347,axiom,(+ s__instance(s__overlapsPartially__m,s__Abstract) )).++fof(kb_SUMOcache_2348,axiom,(+ s__instance(s__Red,s__VisualAttribute) )).++fof(kb_SUMOcache_2349,axiom,(+ s__instance(s__Red,s__Attribute) )).++fof(kb_SUMOcache_2350,axiom,(+ s__instance(s__Red,s__PerceptualAttribute) )).++fof(kb_SUMOcache_2351,axiom,(+ s__instance(s__Red,s__ColorAttribute) )).++fof(kb_SUMOcache_2352,axiom,(+ s__instance(s__Red,s__Entity) )).++fof(kb_SUMOcache_2353,axiom,(+ s__instance(s__Red,s__Abstract) )).++fof(kb_SUMOcache_2354,axiom,(+ s__instance(s__partialOrderingOn__m,s__Relation) )).++fof(kb_SUMOcache_2355,axiom,(+ s__instance(s__partialOrderingOn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2356,axiom,(+ s__instance(s__partialOrderingOn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2357,axiom,(+ s__instance(s__partialOrderingOn__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2358,axiom,(+ s__instance(s__partialOrderingOn__m,s__Predicate) )).++fof(kb_SUMOcache_2359,axiom,(+ s__instance(s__partialOrderingOn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2360,axiom,(+ s__instance(s__partialOrderingOn__m,s__Abstract) )).++fof(kb_SUMOcache_2361,axiom,(+ s__instance(s__partialOrderingOn__m,s__Entity) )).++fof(kb_SUMOcache_2362,axiom,(+ s__instance(s__WealthFn__m,s__Relation) )).++fof(kb_SUMOcache_2363,axiom,(+ s__instance(s__WealthFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2364,axiom,(+ s__instance(s__WealthFn__m,s__Function) )).++fof(kb_SUMOcache_2365,axiom,(+ s__instance(s__WealthFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2366,axiom,(+ s__instance(s__WealthFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2367,axiom,(+ s__instance(s__WealthFn__m,s__Abstract) )).++fof(kb_SUMOcache_2368,axiom,(+ s__instance(s__WealthFn__m,s__Entity) )).++fof(kb_SUMOcache_2369,axiom,(+ s__instance(s__identicalListItems__m,s__Relation) )).++fof(kb_SUMOcache_2370,axiom,(+ s__instance(s__identicalListItems__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2371,axiom,(+ s__instance(s__identicalListItems__m,s__Predicate) )).++fof(kb_SUMOcache_2372,axiom,(+ s__instance(s__identicalListItems__m,s__SymmetricRelation) )).++fof(kb_SUMOcache_2373,axiom,(+ s__instance(s__identicalListItems__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_2374,axiom,(+ s__instance(s__identicalListItems__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2375,axiom,(+ s__instance(s__identicalListItems__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_2376,axiom,(+ s__instance(s__identicalListItems__m,s__Abstract) )).++fof(kb_SUMOcache_2377,axiom,(+ s__instance(s__identicalListItems__m,s__Entity) )).++fof(kb_SUMOcache_2378,axiom,(+ s__instance(s__confersObligation__m,s__Relation) )).++fof(kb_SUMOcache_2379,axiom,(+ s__instance(s__confersObligation__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2380,axiom,(+ s__instance(s__confersObligation__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2381,axiom,(+ s__instance(s__confersObligation__m,s__Predicate) )).++fof(kb_SUMOcache_2382,axiom,(+ s__instance(s__confersObligation__m,s__Abstract) )).++fof(kb_SUMOcache_2383,axiom,(+ s__instance(s__confersObligation__m,s__Entity) )).++fof(kb_SUMOcache_2384,axiom,(+ s__instance(s__GeneralizedIntersectionFn__m,s__Relation) )).++fof(kb_SUMOcache_2385,axiom,(+ s__instance(s__GeneralizedIntersectionFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2386,axiom,(+ s__instance(s__GeneralizedIntersectionFn__m,s__Function) )).++fof(kb_SUMOcache_2387,axiom,(+ s__instance(s__GeneralizedIntersectionFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2388,axiom,(+ s__instance(s__GeneralizedIntersectionFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2389,axiom,(+ s__instance(s__GeneralizedIntersectionFn__m,s__Abstract) )).++fof(kb_SUMOcache_2390,axiom,(+ s__instance(s__GeneralizedIntersectionFn__m,s__Entity) )).++fof(kb_SUMOcache_2391,axiom,(+ s__instance(s__Mile,s__Quantity) )).++fof(kb_SUMOcache_2392,axiom,(+ s__instance(s__Mile,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2393,axiom,(+ s__instance(s__Mile,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2394,axiom,(+ s__instance(s__Mile,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2395,axiom,(+ s__instance(s__Mile,s__Entity) )).++fof(kb_SUMOcache_2396,axiom,(+ s__instance(s__Mile,s__Abstract) )).++fof(kb_SUMOcache_2397,axiom,(+ s__instance(s__conditionalProbability__m,s__Relation) )).++fof(kb_SUMOcache_2398,axiom,(+ s__instance(s__conditionalProbability__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2399,axiom,(+ s__instance(s__conditionalProbability__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2400,axiom,(+ s__instance(s__conditionalProbability__m,s__Predicate) )).++fof(kb_SUMOcache_2401,axiom,(+ s__instance(s__conditionalProbability__m,s__Abstract) )).++fof(kb_SUMOcache_2402,axiom,(+ s__instance(s__conditionalProbability__m,s__Entity) )).++fof(kb_SUMOcache_2403,axiom,(+ s__instance(s__NumeratorFn__m,s__Relation) )).++fof(kb_SUMOcache_2404,axiom,(+ s__instance(s__NumeratorFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2405,axiom,(+ s__instance(s__NumeratorFn__m,s__Function) )).++fof(kb_SUMOcache_2406,axiom,(+ s__instance(s__NumeratorFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2407,axiom,(+ s__instance(s__NumeratorFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2408,axiom,(+ s__instance(s__NumeratorFn__m,s__Abstract) )).++fof(kb_SUMOcache_2409,axiom,(+ s__instance(s__NumeratorFn__m,s__Entity) )).++fof(kb_SUMOcache_2410,axiom,(+ s__instance(s__Candela,s__Quantity) )).++fof(kb_SUMOcache_2411,axiom,(+ s__instance(s__Candela,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2412,axiom,(+ s__instance(s__Candela,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2413,axiom,(+ s__instance(s__Candela,s__Abstract) )).++fof(kb_SUMOcache_2414,axiom,(+ s__instance(s__Candela,s__Entity) )).++fof(kb_SUMOcache_2415,axiom,(+ s__instance(s__FoodForFn__m,s__Relation) )).++fof(kb_SUMOcache_2416,axiom,(+ s__instance(s__FoodForFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2417,axiom,(+ s__instance(s__FoodForFn__m,s__Function) )).++fof(kb_SUMOcache_2418,axiom,(+ s__instance(s__FoodForFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2419,axiom,(+ s__instance(s__FoodForFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2420,axiom,(+ s__instance(s__FoodForFn__m,s__Abstract) )).++fof(kb_SUMOcache_2421,axiom,(+ s__instance(s__FoodForFn__m,s__Entity) )).++fof(kb_SUMOcache_2422,axiom,(+ s__instance(s__Audible,s__Attribute) )).++fof(kb_SUMOcache_2423,axiom,(+ s__instance(s__Audible,s__RelationalAttribute) )).++fof(kb_SUMOcache_2424,axiom,(+ s__instance(s__Audible,s__PerceptualAttribute) )).++fof(kb_SUMOcache_2425,axiom,(+ s__instance(s__Audible,s__Entity) )).++fof(kb_SUMOcache_2426,axiom,(+ s__instance(s__Audible,s__Abstract) )).++fof(kb_SUMOcache_2427,axiom,(+ s__instance(s__BackFn__m,s__Relation) )).++fof(kb_SUMOcache_2428,axiom,(+ s__instance(s__BackFn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2429,axiom,(+ s__instance(s__BackFn__m,s__Function) )).++fof(kb_SUMOcache_2430,axiom,(+ s__instance(s__BackFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2431,axiom,(+ s__instance(s__BackFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2432,axiom,(+ s__instance(s__BackFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2433,axiom,(+ s__instance(s__BackFn__m,s__Entity) )).++fof(kb_SUMOcache_2434,axiom,(+ s__instance(s__BackFn__m,s__Abstract) )).++fof(kb_SUMOcache_2435,axiom,(+ s__instance(s__Illuminated,s__Attribute) )).++fof(kb_SUMOcache_2436,axiom,(+ s__instance(s__Illuminated,s__PerceptualAttribute) )).++fof(kb_SUMOcache_2437,axiom,(+ s__instance(s__PerceptualAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_2438,axiom,(+ s__instance(s__Illuminated,s__Abstract) )).++fof(kb_SUMOcache_2439,axiom,(+ s__instance(s__Illuminated,s__Entity) )).++fof(kb_SUMOcache_2440,axiom,(+ s__instance(s__WhenFn__m,s__Relation) )).++fof(kb_SUMOcache_2441,axiom,(+ s__instance(s__WhenFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2442,axiom,(+ s__instance(s__WhenFn__m,s__Function) )).++fof(kb_SUMOcache_2443,axiom,(+ s__instance(s__WhenFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2444,axiom,(+ s__instance(s__WhenFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2445,axiom,(+ s__instance(s__WhenFn__m,s__Abstract) )).++fof(kb_SUMOcache_2446,axiom,(+ s__instance(s__WhenFn__m,s__Entity) )).++fof(kb_SUMOcache_2447,axiom,(+ s__instance(s__surface__m,s__Relation) )).++fof(kb_SUMOcache_2448,axiom,(+ s__instance(s__surface__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2449,axiom,(+ s__instance(s__surface__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2450,axiom,(+ s__instance(s__surface__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2451,axiom,(+ s__instance(s__surface__m,s__Predicate) )).++fof(kb_SUMOcache_2452,axiom,(+ s__instance(s__surface__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2453,axiom,(+ s__instance(s__surface__m,s__Abstract) )).++fof(kb_SUMOcache_2454,axiom,(+ s__instance(s__surface__m,s__Entity) )).++fof(kb_SUMOcache_2455,axiom,(+ s__instance(times__m,s__Relation) )).++fof(kb_SUMOcache_2456,axiom,(+ s__instance(times__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2457,axiom,(+ s__instance(times__m,s__Function) )).++fof(kb_SUMOcache_2458,axiom,(+ s__instance(times__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2459,axiom,(+ s__instance(times__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2460,axiom,(+ s__instance(times__m,s__Abstract) )).++fof(kb_SUMOcache_2461,axiom,(+ s__instance(times__m,s__Entity) )).++fof(kb_SUMOcache_2462,axiom,(+ s__instance(s__altitude__m,s__Relation) )).++fof(kb_SUMOcache_2463,axiom,(+ s__instance(s__altitude__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2464,axiom,(+ s__instance(s__altitude__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2465,axiom,(+ s__instance(s__altitude__m,s__Predicate) )).++fof(kb_SUMOcache_2466,axiom,(+ s__instance(s__altitude__m,s__Abstract) )).++fof(kb_SUMOcache_2467,axiom,(+ s__instance(s__altitude__m,s__Entity) )).++fof(kb_SUMOcache_2468,axiom,(+ s__instance(s__ListConcatenateFn__m,s__Relation) )).++fof(kb_SUMOcache_2469,axiom,(+ s__instance(s__ListConcatenateFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2470,axiom,(+ s__instance(s__ListConcatenateFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2471,axiom,(+ s__instance(s__ListConcatenateFn__m,s__Function) )).++fof(kb_SUMOcache_2472,axiom,(+ s__instance(s__ListConcatenateFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2473,axiom,(+ s__instance(s__ListConcatenateFn__m,s__Abstract) )).++fof(kb_SUMOcache_2474,axiom,(+ s__instance(s__ListConcatenateFn__m,s__Entity) )).++fof(kb_SUMOcache_2475,axiom,(+ s__instance(s__acquaintance__m,s__Relation) )).++fof(kb_SUMOcache_2476,axiom,(+ s__instance(s__acquaintance__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2477,axiom,(+ s__instance(s__acquaintance__m,s__Predicate) )).++fof(kb_SUMOcache_2478,axiom,(+ s__instance(s__acquaintance__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2479,axiom,(+ s__instance(s__acquaintance__m,s__Abstract) )).++fof(kb_SUMOcache_2480,axiom,(+ s__instance(s__acquaintance__m,s__Entity) )).++fof(kb_SUMOcache_2481,axiom,(+ s__instance(s__subCollection__m,s__Relation) )).++fof(kb_SUMOcache_2482,axiom,(+ s__instance(s__subCollection__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2483,axiom,(+ s__instance(s__subCollection__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2484,axiom,(+ s__instance(s__subCollection__m,s__Predicate) )).++fof(kb_SUMOcache_2485,axiom,(+ s__instance(s__subCollection__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_2486,axiom,(+ s__instance(s__subCollection__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2487,axiom,(+ s__instance(s__subCollection__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_2488,axiom,(+ s__instance(s__subCollection__m,s__Abstract) )).++fof(kb_SUMOcache_2489,axiom,(+ s__instance(s__subCollection__m,s__Entity) )).++fof(kb_SUMOcache_2490,axiom,(+ s__instance(s__Polychromatic,s__VisualAttribute) )).++fof(kb_SUMOcache_2491,axiom,(+ s__instance(s__Polychromatic,s__Attribute) )).++fof(kb_SUMOcache_2492,axiom,(+ s__instance(s__Polychromatic,s__PerceptualAttribute) )).++fof(kb_SUMOcache_2493,axiom,(+ s__instance(s__Polychromatic,s__Entity) )).++fof(kb_SUMOcache_2494,axiom,(+ s__instance(s__Polychromatic,s__Abstract) )).++fof(kb_SUMOcache_2495,axiom,(+ s__instance(s__MinFn__m,s__Relation) )).++fof(kb_SUMOcache_2496,axiom,(+ s__instance(s__MinFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2497,axiom,(+ s__instance(s__MinFn__m,s__Function) )).++fof(kb_SUMOcache_2498,axiom,(+ s__instance(s__MinFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2499,axiom,(+ s__instance(s__MinFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2500,axiom,(+ s__instance(s__MinFn__m,s__Abstract) )).++fof(kb_SUMOcache_2501,axiom,(+ s__instance(s__MinFn__m,s__Entity) )).++fof(kb_SUMOcache_2502,axiom,(+ s__instance(s__Steradian,s__Quantity) )).++fof(kb_SUMOcache_2503,axiom,(+ s__instance(s__Steradian,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2504,axiom,(+ s__instance(s__Steradian,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2505,axiom,(+ s__instance(s__Steradian,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2506,axiom,(+ s__instance(s__Steradian,s__Abstract) )).++fof(kb_SUMOcache_2507,axiom,(+ s__instance(s__Steradian,s__Entity) )).++fof(kb_SUMOcache_2508,axiom,(+ s__instance(s__authors__m,s__Relation) )).++fof(kb_SUMOcache_2509,axiom,(+ s__instance(s__authors__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2510,axiom,(+ s__instance(s__authors__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2511,axiom,(+ s__instance(s__authors__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2512,axiom,(+ s__instance(s__authors__m,s__Predicate) )).++fof(kb_SUMOcache_2513,axiom,(+ s__instance(s__authors__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2514,axiom,(+ s__instance(s__authors__m,s__Abstract) )).++fof(kb_SUMOcache_2515,axiom,(+ s__instance(s__authors__m,s__Entity) )).++fof(kb_SUMOcache_2516,axiom,(+ s__instance(s__Lux,s__Quantity) )).++fof(kb_SUMOcache_2517,axiom,(+ s__instance(s__Lux,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2518,axiom,(+ s__instance(s__Lux,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2519,axiom,(+ s__instance(s__Lux,s__Abstract) )).++fof(kb_SUMOcache_2520,axiom,(+ s__instance(s__Lux,s__Entity) )).++fof(kb_SUMOcache_2521,axiom,(+ s__instance(s__MaximalWeightedPathFn__m,s__Relation) )).++fof(kb_SUMOcache_2522,axiom,(+ s__instance(s__MaximalWeightedPathFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2523,axiom,(+ s__instance(s__MaximalWeightedPathFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2524,axiom,(+ s__instance(s__MaximalWeightedPathFn__m,s__Function) )).++fof(kb_SUMOcache_2525,axiom,(+ s__instance(s__MaximalWeightedPathFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2526,axiom,(+ s__instance(s__MaximalWeightedPathFn__m,s__Abstract) )).++fof(kb_SUMOcache_2527,axiom,(+ s__instance(s__MaximalWeightedPathFn__m,s__Entity) )).++fof(kb_SUMOcache_2528,axiom,(+ s__instance(s__overlapsSpatially__m,s__Relation) )).++fof(kb_SUMOcache_2529,axiom,(+ s__instance(s__overlapsSpatially__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2530,axiom,(+ s__instance(s__overlapsSpatially__m,s__Predicate) )).++fof(kb_SUMOcache_2531,axiom,(+ s__instance(s__overlapsSpatially__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2532,axiom,(+ s__instance(s__overlapsSpatially__m,s__Abstract) )).++fof(kb_SUMOcache_2533,axiom,(+ s__instance(s__overlapsSpatially__m,s__Entity) )).++fof(kb_SUMOcache_2534,axiom,(+ s__instance(s__considers__m,s__Relation) )).++fof(kb_SUMOcache_2535,axiom,(+ s__instance(s__considers__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2536,axiom,(+ s__instance(s__considers__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2537,axiom,(+ s__instance(s__considers__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2538,axiom,(+ s__instance(s__considers__m,s__Predicate) )).++fof(kb_SUMOcache_2539,axiom,(+ s__instance(s__considers__m,s__IntentionalRelation) )).++fof(kb_SUMOcache_2540,axiom,(+ s__instance(s__considers__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_2541,axiom,(+ s__instance(s__considers__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2542,axiom,(+ s__instance(s__considers__m,s__Entity) )).++fof(kb_SUMOcache_2543,axiom,(+ s__instance(s__considers__m,s__Abstract) )).++fof(kb_SUMOcache_2544,axiom,(+ s__instance(s__multiplicativeFactor__m,s__Relation) )).++fof(kb_SUMOcache_2545,axiom,(+ s__instance(s__multiplicativeFactor__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2546,axiom,(+ s__instance(s__multiplicativeFactor__m,s__Predicate) )).++fof(kb_SUMOcache_2547,axiom,(+ s__instance(s__multiplicativeFactor__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2548,axiom,(+ s__instance(s__multiplicativeFactor__m,s__Abstract) )).++fof(kb_SUMOcache_2549,axiom,(+ s__instance(s__multiplicativeFactor__m,s__Entity) )).++fof(kb_SUMOcache_2550,axiom,(+ s__instance(s__NullList__m,s__Relation) )).++fof(kb_SUMOcache_2551,axiom,(+ s__instance(s__NullList__m,s__Abstract) )).++fof(kb_SUMOcache_2552,axiom,(+ s__instance(s__NullList__m,s__Entity) )).++fof(kb_SUMOcache_2553,axiom,(+ s__instance(s__Male,s__BiologicalAttribute) )).++fof(kb_SUMOcache_2554,axiom,(+ s__instance(s__BiologicalAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_2555,axiom,(+ s__instance(s__Male,s__Attribute) )).++fof(kb_SUMOcache_2556,axiom,(+ s__instance(s__Male,s__InternalAttribute) )).++fof(kb_SUMOcache_2557,axiom,(+ s__instance(s__Male,s__Abstract) )).++fof(kb_SUMOcache_2558,axiom,(+ s__instance(s__Male,s__Entity) )).++fof(kb_SUMOcache_2559,axiom,(+ s__instance(s__KappaFn__m,s__Relation) )).++fof(kb_SUMOcache_2560,axiom,(+ s__instance(s__KappaFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2561,axiom,(+ s__instance(s__KappaFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2562,axiom,(+ s__instance(s__KappaFn__m,s__Function) )).++fof(kb_SUMOcache_2563,axiom,(+ s__instance(s__KappaFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2564,axiom,(+ s__instance(s__KappaFn__m,s__Abstract) )).++fof(kb_SUMOcache_2565,axiom,(+ s__instance(s__KappaFn__m,s__Entity) )).++fof(kb_SUMOcache_2566,axiom,(+ s__instance(s__EndNodeFn__m,s__Relation) )).++fof(kb_SUMOcache_2567,axiom,(+ s__instance(s__EndNodeFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2568,axiom,(+ s__instance(s__EndNodeFn__m,s__Function) )).++fof(kb_SUMOcache_2569,axiom,(+ s__instance(s__EndNodeFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2570,axiom,(+ s__instance(s__EndNodeFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2571,axiom,(+ s__instance(s__EndNodeFn__m,s__Abstract) )).++fof(kb_SUMOcache_2572,axiom,(+ s__instance(s__EndNodeFn__m,s__Entity) )).++fof(kb_SUMOcache_2573,axiom,(+ s__instance(s__legalRelation__m,s__Relation) )).++fof(kb_SUMOcache_2574,axiom,(+ s__instance(s__legalRelation__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2575,axiom,(+ s__instance(s__legalRelation__m,s__Predicate) )).++fof(kb_SUMOcache_2576,axiom,(+ s__instance(s__legalRelation__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2577,axiom,(+ s__instance(s__legalRelation__m,s__Abstract) )).++fof(kb_SUMOcache_2578,axiom,(+ s__instance(s__legalRelation__m,s__Entity) )).++fof(kb_SUMOcache_2579,axiom,(+ s__instance(s__PredecessorFn__m,s__Relation) )).++fof(kb_SUMOcache_2580,axiom,(+ s__instance(s__PredecessorFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2581,axiom,(+ s__instance(s__PredecessorFn__m,s__Function) )).++fof(kb_SUMOcache_2582,axiom,(+ s__instance(s__PredecessorFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2583,axiom,(+ s__instance(s__PredecessorFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2584,axiom,(+ s__instance(s__PredecessorFn__m,s__Abstract) )).++fof(kb_SUMOcache_2585,axiom,(+ s__instance(s__PredecessorFn__m,s__Entity) )).++fof(kb_SUMOcache_2586,axiom,(+ s__instance(s__UnitedStatesGallon,s__Quantity) )).++fof(kb_SUMOcache_2587,axiom,(+ s__instance(s__UnitedStatesGallon,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2588,axiom,(+ s__instance(s__UnitedStatesGallon,s__CompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2589,axiom,(+ s__instance(s__UnitedStatesGallon,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2590,axiom,(+ s__instance(s__UnitedStatesGallon,s__Abstract) )).++fof(kb_SUMOcache_2591,axiom,(+ s__instance(s__UnitedStatesGallon,s__Entity) )).++fof(kb_SUMOcache_2592,axiom,(+ s__instance(s__hasPurposeForAgent__m,s__Relation) )).++fof(kb_SUMOcache_2593,axiom,(+ s__instance(s__hasPurposeForAgent__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2594,axiom,(+ s__instance(s__hasPurposeForAgent__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2595,axiom,(+ s__instance(s__hasPurposeForAgent__m,s__Predicate) )).++fof(kb_SUMOcache_2596,axiom,(+ s__instance(s__hasPurposeForAgent__m,s__Abstract) )).++fof(kb_SUMOcache_2597,axiom,(+ s__instance(s__hasPurposeForAgent__m,s__Entity) )).++fof(kb_SUMOcache_2598,axiom,(+ s__instance(s__Unconscious,s__StateOfMind) )).++fof(kb_SUMOcache_2599,axiom,(+ s__instance(s__Unconscious,s__BiologicalAttribute) )).++fof(kb_SUMOcache_2600,axiom,(+ s__instance(s__Unconscious,s__PsychologicalAttribute) )).++fof(kb_SUMOcache_2601,axiom,(+ s__instance(s__Unconscious,s__Attribute) )).++fof(kb_SUMOcache_2602,axiom,(+ s__instance(s__Unconscious,s__InternalAttribute) )).++fof(kb_SUMOcache_2603,axiom,(+ s__instance(s__Unconscious,s__Entity) )).++fof(kb_SUMOcache_2604,axiom,(+ s__instance(s__Unconscious,s__Abstract) )).++fof(kb_SUMOcache_2605,axiom,(+ s__instance(s__superficialPart__m,s__Relation) )).++fof(kb_SUMOcache_2606,axiom,(+ s__instance(s__superficialPart__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2607,axiom,(+ s__instance(s__superficialPart__m,s__Predicate) )).++fof(kb_SUMOcache_2608,axiom,(+ s__instance(s__superficialPart__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2609,axiom,(+ s__instance(s__superficialPart__m,s__Entity) )).++fof(kb_SUMOcache_2610,axiom,(+ s__instance(s__superficialPart__m,s__Abstract) )).++fof(kb_SUMOcache_2611,axiom,(+ s__instance(s__IntersectionFn__m,s__Relation) )).++fof(kb_SUMOcache_2612,axiom,(+ s__instance(s__IntersectionFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2613,axiom,(+ s__instance(s__IntersectionFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2614,axiom,(+ s__instance(s__IntersectionFn__m,s__Function) )).++fof(kb_SUMOcache_2615,axiom,(+ s__instance(s__IntersectionFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2616,axiom,(+ s__instance(s__IntersectionFn__m,s__Abstract) )).++fof(kb_SUMOcache_2617,axiom,(+ s__instance(s__IntersectionFn__m,s__Entity) )).++fof(kb_SUMOcache_2618,axiom,(+ s__instance(s__Left,s__Attribute) )).++fof(kb_SUMOcache_2619,axiom,(+ s__instance(s__Left,s__RelationalAttribute) )).++fof(kb_SUMOcache_2620,axiom,(+ s__instance(s__Left,s__Entity) )).++fof(kb_SUMOcache_2621,axiom,(+ s__instance(s__Left,s__Abstract) )).++fof(kb_SUMOcache_2622,axiom,(+ s__instance(s__arcWeight__m,s__Relation) )).++fof(kb_SUMOcache_2623,axiom,(+ s__instance(s__arcWeight__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2624,axiom,(+ s__instance(s__arcWeight__m,s__Predicate) )).++fof(kb_SUMOcache_2625,axiom,(+ s__instance(s__arcWeight__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2626,axiom,(+ s__instance(s__arcWeight__m,s__Abstract) )).++fof(kb_SUMOcache_2627,axiom,(+ s__instance(s__arcWeight__m,s__Entity) )).++fof(kb_SUMOcache_2628,axiom,(+ s__instance(s__FrontFn__m,s__Relation) )).++fof(kb_SUMOcache_2629,axiom,(+ s__instance(s__FrontFn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2630,axiom,(+ s__instance(s__FrontFn__m,s__Function) )).++fof(kb_SUMOcache_2631,axiom,(+ s__instance(s__FrontFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2632,axiom,(+ s__instance(s__FrontFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2633,axiom,(+ s__instance(s__FrontFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2634,axiom,(+ s__instance(s__FrontFn__m,s__Entity) )).++fof(kb_SUMOcache_2635,axiom,(+ s__instance(s__FrontFn__m,s__Abstract) )).++fof(kb_SUMOcache_2636,axiom,(+ s__instance(s__decreasesLikelihood__m,s__Relation) )).++fof(kb_SUMOcache_2637,axiom,(+ s__instance(s__decreasesLikelihood__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2638,axiom,(+ s__instance(s__decreasesLikelihood__m,s__Predicate) )).++fof(kb_SUMOcache_2639,axiom,(+ s__instance(s__decreasesLikelihood__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2640,axiom,(+ s__instance(s__decreasesLikelihood__m,s__Abstract) )).++fof(kb_SUMOcache_2641,axiom,(+ s__instance(s__decreasesLikelihood__m,s__Entity) )).++fof(kb_SUMOcache_2642,axiom,(+ s__instance(greater__m,s__Relation) )).++fof(kb_SUMOcache_2643,axiom,(+ s__instance(greater__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2644,axiom,(+ s__instance(greater__m,s__Predicate) )).++fof(kb_SUMOcache_2645,axiom,(+ s__instance(greater__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2646,axiom,(+ s__instance(greater__m,s__Abstract) )).++fof(kb_SUMOcache_2647,axiom,(+ s__instance(greater__m,s__Entity) )).++fof(kb_SUMOcache_2648,axiom,(+ s__instance(s__NanoFn__m,s__TotalValuedRelation) )).++fof(kb_SUMOcache_2649,axiom,(+ s__instance(s__NanoFn__m,s__Relation) )).++fof(kb_SUMOcache_2650,axiom,(+ s__instance(s__NanoFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2651,axiom,(+ s__instance(s__NanoFn__m,s__Function) )).++fof(kb_SUMOcache_2652,axiom,(+ s__instance(s__NanoFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2653,axiom,(+ s__instance(s__NanoFn__m,s__UnaryFunction) )).++fof(kb_SUMOcache_2654,axiom,(+ s__instance(s__NanoFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2655,axiom,(+ s__instance(s__NanoFn__m,s__Entity) )).++fof(kb_SUMOcache_2656,axiom,(+ s__instance(s__NanoFn__m,s__Abstract) )).++fof(kb_SUMOcache_2657,axiom,(+ s__instance(s__conclusion__m,s__Relation) )).++fof(kb_SUMOcache_2658,axiom,(+ s__instance(s__conclusion__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2659,axiom,(+ s__instance(s__conclusion__m,s__Predicate) )).++fof(kb_SUMOcache_2660,axiom,(+ s__instance(s__conclusion__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2661,axiom,(+ s__instance(s__conclusion__m,s__Abstract) )).++fof(kb_SUMOcache_2662,axiom,(+ s__instance(s__conclusion__m,s__Entity) )).++fof(kb_SUMOcache_2663,axiom,(+ s__instance(s__radius__m,s__Relation) )).++fof(kb_SUMOcache_2664,axiom,(+ s__instance(s__radius__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2665,axiom,(+ s__instance(s__radius__m,s__Predicate) )).++fof(kb_SUMOcache_2666,axiom,(+ s__instance(s__radius__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2667,axiom,(+ s__instance(s__radius__m,s__Abstract) )).++fof(kb_SUMOcache_2668,axiom,(+ s__instance(s__radius__m,s__Entity) )).++fof(kb_SUMOcache_2669,axiom,(+ s__instance(s__Living,s__BiologicalAttribute) )).++fof(kb_SUMOcache_2670,axiom,(+ s__instance(s__Living,s__Attribute) )).++fof(kb_SUMOcache_2671,axiom,(+ s__instance(s__Living,s__InternalAttribute) )).++fof(kb_SUMOcache_2672,axiom,(+ s__instance(s__Living,s__Abstract) )).++fof(kb_SUMOcache_2673,axiom,(+ s__instance(s__Living,s__Entity) )).++fof(kb_SUMOcache_2674,axiom,(+ s__instance(s__range__m,s__Relation) )).++fof(kb_SUMOcache_2675,axiom,(+ s__instance(s__range__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2676,axiom,(+ s__instance(s__range__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2677,axiom,(+ s__instance(s__range__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2678,axiom,(+ s__instance(s__range__m,s__Predicate) )).++fof(kb_SUMOcache_2679,axiom,(+ s__instance(s__range__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2680,axiom,(+ s__instance(s__range__m,s__Abstract) )).++fof(kb_SUMOcache_2681,axiom,(+ s__instance(s__range__m,s__Entity) )).++fof(kb_SUMOcache_2682,axiom,(+ s__instance(s__NonFullyFormed,s__BiologicalAttribute) )).++fof(kb_SUMOcache_2683,axiom,(+ s__instance(s__NonFullyFormed,s__Attribute) )).++fof(kb_SUMOcache_2684,axiom,(+ s__instance(s__NonFullyFormed,s__InternalAttribute) )).++fof(kb_SUMOcache_2685,axiom,(+ s__instance(s__NonFullyFormed,s__Abstract) )).++fof(kb_SUMOcache_2686,axiom,(+ s__instance(s__NonFullyFormed,s__Entity) )).++fof(kb_SUMOcache_2687,axiom,(+ s__instance(s__Liquid,s__Attribute) )).++fof(kb_SUMOcache_2688,axiom,(+ s__instance(s__Liquid,s__InternalAttribute) )).++fof(kb_SUMOcache_2689,axiom,(+ s__instance(s__Liquid,s__Abstract) )).++fof(kb_SUMOcache_2690,axiom,(+ s__instance(s__Liquid,s__Entity) )).++fof(kb_SUMOcache_2691,axiom,(+ s__instance(s__version__m,s__Relation) )).++fof(kb_SUMOcache_2692,axiom,(+ s__instance(s__version__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2693,axiom,(+ s__instance(s__version__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2694,axiom,(+ s__instance(s__version__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2695,axiom,(+ s__instance(s__version__m,s__Predicate) )).++fof(kb_SUMOcache_2696,axiom,(+ s__instance(s__version__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2697,axiom,(+ s__instance(s__version__m,s__Abstract) )).++fof(kb_SUMOcache_2698,axiom,(+ s__instance(s__version__m,s__Entity) )).++fof(kb_SUMOcache_2699,axiom,(+ s__instance(s__geometricPart__m,s__Relation) )).++fof(kb_SUMOcache_2700,axiom,(+ s__instance(s__geometricPart__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2701,axiom,(+ s__instance(s__geometricPart__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2702,axiom,(+ s__instance(s__geometricPart__m,s__Predicate) )).++fof(kb_SUMOcache_2703,axiom,(+ s__instance(s__geometricPart__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_2704,axiom,(+ s__instance(s__geometricPart__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2705,axiom,(+ s__instance(s__geometricPart__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_2706,axiom,(+ s__instance(s__geometricPart__m,s__Abstract) )).++fof(kb_SUMOcache_2707,axiom,(+ s__instance(s__geometricPart__m,s__Entity) )).++fof(kb_SUMOcache_2708,axiom,(+ s__instance(s__completelyFills__m,s__Relation) )).++fof(kb_SUMOcache_2709,axiom,(+ s__instance(s__completelyFills__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2710,axiom,(+ s__instance(s__completelyFills__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2711,axiom,(+ s__instance(s__completelyFills__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2712,axiom,(+ s__instance(s__IrreflexiveRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_2713,axiom,(+ s__instance(s__completelyFills__m,s__Predicate) )).++fof(kb_SUMOcache_2714,axiom,(+ s__instance(s__completelyFills__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2715,axiom,(+ s__instance(s__completelyFills__m,s__Abstract) )).++fof(kb_SUMOcache_2716,axiom,(+ s__instance(s__completelyFills__m,s__Entity) )).++fof(kb_SUMOcache_2717,axiom,(+ s__instance(s__Likely,s__ObjectiveNorm) )).++fof(kb_SUMOcache_2718,axiom,(+ s__instance(s__Likely,s__NormativeAttribute) )).++fof(kb_SUMOcache_2719,axiom,(+ s__instance(s__Likely,s__Attribute) )).++fof(kb_SUMOcache_2720,axiom,(+ s__instance(s__Likely,s__RelationalAttribute) )).++fof(kb_SUMOcache_2721,axiom,(+ s__instance(s__Likely,s__Entity) )).++fof(kb_SUMOcache_2722,axiom,(+ s__instance(s__Likely,s__Abstract) )).++fof(kb_SUMOcache_2723,axiom,(+ s__instance(s__Pint,s__Quantity) )).++fof(kb_SUMOcache_2724,axiom,(+ s__instance(s__Pint,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2725,axiom,(+ s__instance(s__Pint,s__CompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2726,axiom,(+ s__instance(s__Pint,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2727,axiom,(+ s__instance(s__Pint,s__Abstract) )).++fof(kb_SUMOcache_2728,axiom,(+ s__instance(s__Pint,s__Entity) )).++fof(kb_SUMOcache_2729,axiom,(+ s__instance(s__length__m,s__Relation) )).++fof(kb_SUMOcache_2730,axiom,(+ s__instance(s__length__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2731,axiom,(+ s__instance(s__length__m,s__Predicate) )).++fof(kb_SUMOcache_2732,axiom,(+ s__instance(s__length__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2733,axiom,(+ s__instance(s__length__m,s__Abstract) )).++fof(kb_SUMOcache_2734,axiom,(+ s__instance(s__length__m,s__Entity) )).++fof(kb_SUMOcache_2735,axiom,(+ s__instance(s__Dry,s__Attribute) )).++fof(kb_SUMOcache_2736,axiom,(+ s__instance(s__Dry,s__InternalAttribute) )).++fof(kb_SUMOcache_2737,axiom,(+ s__instance(s__Dry,s__Abstract) )).++fof(kb_SUMOcache_2738,axiom,(+ s__instance(s__Dry,s__Entity) )).++fof(kb_SUMOcache_2739,axiom,(+ s__instance(s__partlyLocated__m,s__Relation) )).++fof(kb_SUMOcache_2740,axiom,(+ s__instance(s__partlyLocated__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2741,axiom,(+ s__instance(s__partlyLocated__m,s__Predicate) )).++fof(kb_SUMOcache_2742,axiom,(+ s__instance(s__partlyLocated__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2743,axiom,(+ s__instance(s__partlyLocated__m,s__Abstract) )).++fof(kb_SUMOcache_2744,axiom,(+ s__instance(s__partlyLocated__m,s__Entity) )).++fof(kb_SUMOcache_2745,axiom,(+ s__instance(s__EditionFn__m,s__Relation) )).++fof(kb_SUMOcache_2746,axiom,(+ s__instance(s__EditionFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2747,axiom,(+ s__instance(s__EditionFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2748,axiom,(+ s__instance(s__EditionFn__m,s__Function) )).++fof(kb_SUMOcache_2749,axiom,(+ s__instance(s__EditionFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2750,axiom,(+ s__instance(s__EditionFn__m,s__Abstract) )).++fof(kb_SUMOcache_2751,axiom,(+ s__instance(s__EditionFn__m,s__Entity) )).++fof(kb_SUMOcache_2752,axiom,(+ s__instance(s__believes__m,s__Relation) )).++fof(kb_SUMOcache_2753,axiom,(+ s__instance(s__believes__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2754,axiom,(+ s__instance(s__believes__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2755,axiom,(+ s__instance(s__believes__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2756,axiom,(+ s__instance(s__believes__m,s__Predicate) )).++fof(kb_SUMOcache_2757,axiom,(+ s__instance(s__believes__m,s__IntentionalRelation) )).++fof(kb_SUMOcache_2758,axiom,(+ s__instance(s__believes__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_2759,axiom,(+ s__instance(s__believes__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2760,axiom,(+ s__instance(s__believes__m,s__Entity) )).++fof(kb_SUMOcache_2761,axiom,(+ s__instance(s__believes__m,s__Abstract) )).++fof(kb_SUMOcache_2762,axiom,(+ s__instance(s__cooccur__m,s__Relation) )).++fof(kb_SUMOcache_2763,axiom,(+ s__instance(s__cooccur__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2764,axiom,(+ s__instance(s__cooccur__m,s__Predicate) )).++fof(kb_SUMOcache_2765,axiom,(+ s__instance(s__cooccur__m,s__SymmetricRelation) )).++fof(kb_SUMOcache_2766,axiom,(+ s__instance(s__cooccur__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_2767,axiom,(+ s__instance(s__cooccur__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2768,axiom,(+ s__instance(s__cooccur__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_2769,axiom,(+ s__instance(s__cooccur__m,s__Abstract) )).++fof(kb_SUMOcache_2770,axiom,(+ s__instance(s__cooccur__m,s__Entity) )).++fof(kb_SUMOcache_2771,axiom,(+ s__instance(s__TimeIntervalFn__m,s__Relation) )).++fof(kb_SUMOcache_2772,axiom,(+ s__instance(s__TimeIntervalFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2773,axiom,(+ s__instance(s__TimeIntervalFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2774,axiom,(+ s__instance(s__TimeIntervalFn__m,s__Function) )).++fof(kb_SUMOcache_2775,axiom,(+ s__instance(s__TimeIntervalFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2776,axiom,(+ s__instance(s__TimeIntervalFn__m,s__Abstract) )).++fof(kb_SUMOcache_2777,axiom,(+ s__instance(s__TimeIntervalFn__m,s__Entity) )).++fof(kb_SUMOcache_2778,axiom,(+ s__instance(s__HourFn__m,s__Relation) )).++fof(kb_SUMOcache_2779,axiom,(+ s__instance(s__HourFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2780,axiom,(+ s__instance(s__HourFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2781,axiom,(+ s__instance(s__HourFn__m,s__Function) )).++fof(kb_SUMOcache_2782,axiom,(+ s__instance(s__HourFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2783,axiom,(+ s__instance(s__HourFn__m,s__Abstract) )).++fof(kb_SUMOcache_2784,axiom,(+ s__instance(s__HourFn__m,s__Entity) )).++fof(kb_SUMOcache_2785,axiom,(+ s__instance(s__Mole,s__Quantity) )).++fof(kb_SUMOcache_2786,axiom,(+ s__instance(s__Mole,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2787,axiom,(+ s__instance(s__Mole,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2788,axiom,(+ s__instance(s__Mole,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2789,axiom,(+ s__instance(s__Mole,s__Abstract) )).++fof(kb_SUMOcache_2790,axiom,(+ s__instance(s__Mole,s__Entity) )).++fof(kb_SUMOcache_2791,axiom,(+ s__instance(s__CardinalityFn__m,s__Relation) )).++fof(kb_SUMOcache_2792,axiom,(+ s__instance(s__CardinalityFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2793,axiom,(+ s__instance(s__CardinalityFn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2794,axiom,(+ s__instance(s__CardinalityFn__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2795,axiom,(+ s__instance(s__CardinalityFn__m,s__Function) )).++fof(kb_SUMOcache_2796,axiom,(+ s__instance(s__CardinalityFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2797,axiom,(+ s__instance(s__CardinalityFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2798,axiom,(+ s__instance(s__CardinalityFn__m,s__Abstract) )).++fof(kb_SUMOcache_2799,axiom,(+ s__instance(s__CardinalityFn__m,s__Entity) )).++fof(kb_SUMOcache_2800,axiom,(+ s__instance(s__BritishThermalUnit,s__Quantity) )).++fof(kb_SUMOcache_2801,axiom,(+ s__instance(s__BritishThermalUnit,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2802,axiom,(+ s__instance(s__BritishThermalUnit,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2803,axiom,(+ s__instance(s__BritishThermalUnit,s__Abstract) )).++fof(kb_SUMOcache_2804,axiom,(+ s__instance(s__BritishThermalUnit,s__Entity) )).++fof(kb_SUMOcache_2805,axiom,(+ s__instance(s__Tesla,s__Quantity) )).++fof(kb_SUMOcache_2806,axiom,(+ s__instance(s__Tesla,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2807,axiom,(+ s__instance(s__Tesla,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2808,axiom,(+ s__instance(s__Tesla,s__Abstract) )).++fof(kb_SUMOcache_2809,axiom,(+ s__instance(s__Tesla,s__Entity) )).++fof(kb_SUMOcache_2810,axiom,(+ s__instance(s__meetsTemporally__m,s__Relation) )).++fof(kb_SUMOcache_2811,axiom,(+ s__instance(s__meetsTemporally__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2812,axiom,(+ s__instance(s__meetsTemporally__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2813,axiom,(+ s__instance(s__meetsTemporally__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2814,axiom,(+ s__instance(s__meetsTemporally__m,s__Predicate) )).++fof(kb_SUMOcache_2815,axiom,(+ s__instance(s__meetsTemporally__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2816,axiom,(+ s__instance(s__meetsTemporally__m,s__Abstract) )).++fof(kb_SUMOcache_2817,axiom,(+ s__instance(s__meetsTemporally__m,s__Entity) )).++fof(kb_SUMOcache_2818,axiom,(+ s__instance(minus__m,s__Relation) )).++fof(kb_SUMOcache_2819,axiom,(+ s__instance(minus__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2820,axiom,(+ s__instance(minus__m,s__Function) )).++fof(kb_SUMOcache_2821,axiom,(+ s__instance(minus__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2822,axiom,(+ s__instance(minus__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2823,axiom,(+ s__instance(minus__m,s__Abstract) )).++fof(kb_SUMOcache_2824,axiom,(+ s__instance(minus__m,s__Entity) )).++fof(kb_SUMOcache_2825,axiom,(+ s__instance(s__Monochromatic,s__VisualAttribute) )).++fof(kb_SUMOcache_2826,axiom,(+ s__instance(s__Monochromatic,s__Attribute) )).++fof(kb_SUMOcache_2827,axiom,(+ s__instance(s__Monochromatic,s__PerceptualAttribute) )).++fof(kb_SUMOcache_2828,axiom,(+ s__instance(s__Monochromatic,s__Entity) )).++fof(kb_SUMOcache_2829,axiom,(+ s__instance(s__Monochromatic,s__Abstract) )).++fof(kb_SUMOcache_2830,axiom,(+ s__instance(s__represents__m,s__Relation) )).++fof(kb_SUMOcache_2831,axiom,(+ s__instance(s__represents__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2832,axiom,(+ s__instance(s__represents__m,s__Predicate) )).++fof(kb_SUMOcache_2833,axiom,(+ s__instance(s__represents__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2834,axiom,(+ s__instance(s__represents__m,s__Abstract) )).++fof(kb_SUMOcache_2835,axiom,(+ s__instance(s__represents__m,s__Entity) )).++fof(kb_SUMOcache_2836,axiom,(+ s__instance(s__ImmediateFamilyFn__m,s__Relation) )).++fof(kb_SUMOcache_2837,axiom,(+ s__instance(s__ImmediateFamilyFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2838,axiom,(+ s__instance(s__ImmediateFamilyFn__m,s__Function) )).++fof(kb_SUMOcache_2839,axiom,(+ s__instance(s__ImmediateFamilyFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2840,axiom,(+ s__instance(s__ImmediateFamilyFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2841,axiom,(+ s__instance(s__ImmediateFamilyFn__m,s__Abstract) )).++fof(kb_SUMOcache_2842,axiom,(+ s__instance(s__ImmediateFamilyFn__m,s__Entity) )).++fof(kb_SUMOcache_2843,axiom,(+ s__instance(s__brother__m,s__Relation) )).++fof(kb_SUMOcache_2844,axiom,(+ s__instance(s__brother__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2845,axiom,(+ s__instance(s__brother__m,s__Predicate) )).++fof(kb_SUMOcache_2846,axiom,(+ s__instance(s__brother__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2847,axiom,(+ s__instance(s__brother__m,s__Entity) )).++fof(kb_SUMOcache_2848,axiom,(+ s__instance(s__brother__m,s__Abstract) )).++fof(kb_SUMOcache_2849,axiom,(+ s__instance(s__lineMeasure__m,s__Relation) )).++fof(kb_SUMOcache_2850,axiom,(+ s__instance(s__lineMeasure__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2851,axiom,(+ s__instance(s__lineMeasure__m,s__Predicate) )).++fof(kb_SUMOcache_2852,axiom,(+ s__instance(s__lineMeasure__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2853,axiom,(+ s__instance(s__lineMeasure__m,s__Abstract) )).++fof(kb_SUMOcache_2854,axiom,(+ s__instance(s__lineMeasure__m,s__Entity) )).++fof(kb_SUMOcache_2855,axiom,(+ s__instance(s__PoundMass,s__Quantity) )).++fof(kb_SUMOcache_2856,axiom,(+ s__instance(s__PoundMass,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2857,axiom,(+ s__instance(s__PoundMass,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2858,axiom,(+ s__instance(s__UnitOfMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_2859,axiom,(+ s__instance(s__PoundMass,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2860,axiom,(+ s__instance(s__PoundMass,s__Abstract) )).++fof(kb_SUMOcache_2861,axiom,(+ s__instance(s__PoundMass,s__Entity) )).++fof(kb_SUMOcache_2862,axiom,(+ s__instance(s__SignumFn__m,s__Relation) )).++fof(kb_SUMOcache_2863,axiom,(+ s__instance(s__SignumFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2864,axiom,(+ s__instance(s__SignumFn__m,s__Function) )).++fof(kb_SUMOcache_2865,axiom,(+ s__instance(s__SignumFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2866,axiom,(+ s__instance(s__SignumFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2867,axiom,(+ s__instance(s__SignumFn__m,s__Abstract) )).++fof(kb_SUMOcache_2868,axiom,(+ s__instance(s__SignumFn__m,s__Entity) )).++fof(kb_SUMOcache_2869,axiom,(+ s__instance(s__Possibility,s__ObjectiveNorm) )).++fof(kb_SUMOcache_2870,axiom,(+ s__instance(s__Possibility,s__NormativeAttribute) )).++fof(kb_SUMOcache_2871,axiom,(+ s__instance(s__Possibility,s__Attribute) )).++fof(kb_SUMOcache_2872,axiom,(+ s__instance(s__Possibility,s__RelationalAttribute) )).++fof(kb_SUMOcache_2873,axiom,(+ s__instance(s__Possibility,s__Entity) )).++fof(kb_SUMOcache_2874,axiom,(+ s__instance(s__Possibility,s__Abstract) )).++fof(kb_SUMOcache_2875,axiom,(+ s__instance(s__possesses__m,s__Relation) )).++fof(kb_SUMOcache_2876,axiom,(+ s__instance(s__possesses__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2877,axiom,(+ s__instance(s__possesses__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2878,axiom,(+ s__instance(s__possesses__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2879,axiom,(+ s__instance(s__possesses__m,s__Predicate) )).++fof(kb_SUMOcache_2880,axiom,(+ s__instance(s__possesses__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2881,axiom,(+ s__instance(s__possesses__m,s__Abstract) )).++fof(kb_SUMOcache_2882,axiom,(+ s__instance(s__possesses__m,s__Entity) )).++fof(kb_SUMOcache_2883,axiom,(+ s__instance(s__subPlan__m,s__Relation) )).++fof(kb_SUMOcache_2884,axiom,(+ s__instance(s__subPlan__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2885,axiom,(+ s__instance(s__subPlan__m,s__Predicate) )).++fof(kb_SUMOcache_2886,axiom,(+ s__instance(s__subPlan__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2887,axiom,(+ s__instance(s__subPlan__m,s__Entity) )).++fof(kb_SUMOcache_2888,axiom,(+ s__instance(s__subPlan__m,s__Abstract) )).++fof(kb_SUMOcache_2889,axiom,(+ s__instance(s__connected__m,s__Relation) )).++fof(kb_SUMOcache_2890,axiom,(+ s__instance(s__connected__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2891,axiom,(+ s__instance(s__connected__m,s__Predicate) )).++fof(kb_SUMOcache_2892,axiom,(+ s__instance(s__connected__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2893,axiom,(+ s__instance(s__connected__m,s__Abstract) )).++fof(kb_SUMOcache_2894,axiom,(+ s__instance(s__connected__m,s__Entity) )).++fof(kb_SUMOcache_2895,axiom,(+ s__instance(s__Above,s__Attribute) )).++fof(kb_SUMOcache_2896,axiom,(+ s__instance(s__Above,s__RelationalAttribute) )).++fof(kb_SUMOcache_2897,axiom,(+ s__instance(s__Above,s__Entity) )).++fof(kb_SUMOcache_2898,axiom,(+ s__instance(s__Above,s__Abstract) )).++fof(kb_SUMOcache_2899,axiom,(+ s__instance('$false__m',s__Attribute) )).++fof(kb_SUMOcache_2900,axiom,(+ s__instance('$false__m',s__RelationalAttribute) )).++fof(kb_SUMOcache_2901,axiom,(+ s__instance('$false__m',s__Abstract) )).++fof(kb_SUMOcache_2902,axiom,(+ s__instance('$false__m',s__Entity) )).++fof(kb_SUMOcache_2903,axiom,(+ s__instance(s__Joule,s__Quantity) )).++fof(kb_SUMOcache_2904,axiom,(+ s__instance(s__Joule,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2905,axiom,(+ s__instance(s__Joule,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2906,axiom,(+ s__instance(s__Joule,s__Abstract) )).++fof(kb_SUMOcache_2907,axiom,(+ s__instance(s__Joule,s__Entity) )).++fof(kb_SUMOcache_2908,axiom,(+ s__instance(s__confersNorm__m,s__Relation) )).++fof(kb_SUMOcache_2909,axiom,(+ s__instance(s__confersNorm__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2910,axiom,(+ s__instance(s__confersNorm__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2911,axiom,(+ s__instance(s__confersNorm__m,s__Predicate) )).++fof(kb_SUMOcache_2912,axiom,(+ s__instance(s__confersNorm__m,s__Abstract) )).++fof(kb_SUMOcache_2913,axiom,(+ s__instance(s__confersNorm__m,s__Entity) )).++fof(kb_SUMOcache_2914,axiom,(+ s__instance(less__m,s__Relation) )).++fof(kb_SUMOcache_2915,axiom,(+ s__instance(less__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2916,axiom,(+ s__instance(less__m,s__Predicate) )).++fof(kb_SUMOcache_2917,axiom,(+ s__instance(less__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2918,axiom,(+ s__instance(less__m,s__Abstract) )).++fof(kb_SUMOcache_2919,axiom,(+ s__instance(less__m,s__Entity) )).++fof(kb_SUMOcache_2920,axiom,(+ s__instance(s__ImaginaryPartFn__m,s__Relation) )).++fof(kb_SUMOcache_2921,axiom,(+ s__instance(s__ImaginaryPartFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2922,axiom,(+ s__instance(s__ImaginaryPartFn__m,s__Function) )).++fof(kb_SUMOcache_2923,axiom,(+ s__instance(s__ImaginaryPartFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_2924,axiom,(+ s__instance(s__ImaginaryPartFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2925,axiom,(+ s__instance(s__ImaginaryPartFn__m,s__Abstract) )).++fof(kb_SUMOcache_2926,axiom,(+ s__instance(s__ImaginaryPartFn__m,s__Entity) )).++fof(kb_SUMOcache_2927,axiom,(+ s__instance(s__EasternTimeZone,s__Attribute) )).++fof(kb_SUMOcache_2928,axiom,(+ s__instance(s__EasternTimeZone,s__RelationalAttribute) )).++fof(kb_SUMOcache_2929,axiom,(+ s__instance(s__EasternTimeZone,s__Entity) )).++fof(kb_SUMOcache_2930,axiom,(+ s__instance(s__EasternTimeZone,s__Abstract) )).++fof(kb_SUMOcache_2931,axiom,(+ s__instance(s__Sievert,s__Quantity) )).++fof(kb_SUMOcache_2932,axiom,(+ s__instance(s__Sievert,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2933,axiom,(+ s__instance(s__Sievert,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2934,axiom,(+ s__instance(s__Sievert,s__Abstract) )).++fof(kb_SUMOcache_2935,axiom,(+ s__instance(s__Sievert,s__Entity) )).++fof(kb_SUMOcache_2936,axiom,(+ s__instance(s__disjointRelation__m,s__Relation) )).++fof(kb_SUMOcache_2937,axiom,(+ s__instance(s__disjointRelation__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2938,axiom,(+ s__instance(s__disjointRelation__m,s__Predicate) )).++fof(kb_SUMOcache_2939,axiom,(+ s__instance(s__disjointRelation__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2940,axiom,(+ s__instance(s__disjointRelation__m,s__Entity) )).++fof(kb_SUMOcache_2941,axiom,(+ s__instance(s__disjointRelation__m,s__Abstract) )).++fof(kb_SUMOcache_2942,axiom,(+ s__instance(s__Amu,s__Quantity) )).++fof(kb_SUMOcache_2943,axiom,(+ s__instance(s__Amu,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_2944,axiom,(+ s__instance(s__Amu,s__UnitOfMeasure) )).++fof(kb_SUMOcache_2945,axiom,(+ s__instance(s__Amu,s__PhysicalQuantity) )).++fof(kb_SUMOcache_2946,axiom,(+ s__instance(s__Amu,s__Abstract) )).++fof(kb_SUMOcache_2947,axiom,(+ s__instance(s__Amu,s__Entity) )).++fof(kb_SUMOcache_2948,axiom,(+ s__instance(s__changesLocation__m,s__Relation) )).++fof(kb_SUMOcache_2949,axiom,(+ s__instance(s__changesLocation__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2950,axiom,(+ s__instance(s__changesLocation__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2951,axiom,(+ s__instance(s__changesLocation__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2952,axiom,(+ s__instance(s__changesLocation__m,s__Predicate) )).++fof(kb_SUMOcache_2953,axiom,(+ s__instance(s__changesLocation__m,s__BinaryPredicate) )).++fof(kb_SUMOcache_2954,axiom,(+ s__instance(s__changesLocation__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_2955,axiom,(+ s__instance(s__changesLocation__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2956,axiom,(+ s__instance(s__changesLocation__m,s__Abstract) )).++fof(kb_SUMOcache_2957,axiom,(+ s__instance(s__changesLocation__m,s__Entity) )).++fof(kb_SUMOcache_2958,axiom,(+ s__instance(s__abstractCounterpart__m,s__Relation) )).++fof(kb_SUMOcache_2959,axiom,(+ s__instance(s__abstractCounterpart__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2960,axiom,(+ s__instance(s__abstractCounterpart__m,s__Predicate) )).++fof(kb_SUMOcache_2961,axiom,(+ s__instance(s__abstractCounterpart__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2962,axiom,(+ s__instance(s__abstractCounterpart__m,s__Abstract) )).++fof(kb_SUMOcache_2963,axiom,(+ s__instance(s__abstractCounterpart__m,s__Entity) )).++fof(kb_SUMOcache_2964,axiom,(+ s__instance(s__property__m,s__Relation) )).++fof(kb_SUMOcache_2965,axiom,(+ s__instance(s__property__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2966,axiom,(+ s__instance(s__property__m,s__Predicate) )).++fof(kb_SUMOcache_2967,axiom,(+ s__instance(s__property__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2968,axiom,(+ s__instance(s__property__m,s__Abstract) )).++fof(kb_SUMOcache_2969,axiom,(+ s__instance(s__property__m,s__Entity) )).++fof(kb_SUMOcache_2970,axiom,(+ s__instance(s__format__m,s__Relation) )).++fof(kb_SUMOcache_2971,axiom,(+ s__instance(s__format__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2972,axiom,(+ s__instance(s__format__m,s__TernaryRelation) )).++fof(kb_SUMOcache_2973,axiom,(+ s__instance(s__format__m,s__Predicate) )).++fof(kb_SUMOcache_2974,axiom,(+ s__instance(s__format__m,s__Abstract) )).++fof(kb_SUMOcache_2975,axiom,(+ s__instance(s__format__m,s__Entity) )).++fof(kb_SUMOcache_2976,axiom,(+ s__instance(s__wants__m,s__Relation) )).++fof(kb_SUMOcache_2977,axiom,(+ s__instance(s__wants__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2978,axiom,(+ s__instance(s__wants__m,s__Predicate) )).++fof(kb_SUMOcache_2979,axiom,(+ s__instance(s__wants__m,s__IntentionalRelation) )).++fof(kb_SUMOcache_2980,axiom,(+ s__instance(s__wants__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2981,axiom,(+ s__instance(s__wants__m,s__Abstract) )).++fof(kb_SUMOcache_2982,axiom,(+ s__instance(s__wants__m,s__Entity) )).++fof(kb_SUMOcache_2983,axiom,(+ s__instance(s__knows__m,s__Relation) )).++fof(kb_SUMOcache_2984,axiom,(+ s__instance(s__knows__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2985,axiom,(+ s__instance(s__knows__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2986,axiom,(+ s__instance(s__knows__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2987,axiom,(+ s__instance(s__knows__m,s__Predicate) )).++fof(kb_SUMOcache_2988,axiom,(+ s__instance(s__knows__m,s__IntentionalRelation) )).++fof(kb_SUMOcache_2989,axiom,(+ s__instance(s__knows__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_2990,axiom,(+ s__instance(s__knows__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2991,axiom,(+ s__instance(s__knows__m,s__Entity) )).++fof(kb_SUMOcache_2992,axiom,(+ s__instance(s__knows__m,s__Abstract) )).++fof(kb_SUMOcache_2993,axiom,(+ s__instance(s__precondition__m,s__Relation) )).++fof(kb_SUMOcache_2994,axiom,(+ s__instance(s__precondition__m,s__InheritableRelation) )).++fof(kb_SUMOcache_2995,axiom,(+ s__instance(s__precondition__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_2996,axiom,(+ s__instance(s__precondition__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_2997,axiom,(+ s__instance(s__precondition__m,s__Predicate) )).++fof(kb_SUMOcache_2998,axiom,(+ s__instance(s__precondition__m,s__BinaryRelation) )).++fof(kb_SUMOcache_2999,axiom,(+ s__instance(s__precondition__m,s__Abstract) )).++fof(kb_SUMOcache_3000,axiom,(+ s__instance(s__precondition__m,s__Entity) )).++fof(kb_SUMOcache_3001,axiom,(+ s__instance(s__Vertical,s__Attribute) )).++fof(kb_SUMOcache_3002,axiom,(+ s__instance(s__Vertical,s__RelationalAttribute) )).++fof(kb_SUMOcache_3003,axiom,(+ s__instance(s__Vertical,s__Entity) )).++fof(kb_SUMOcache_3004,axiom,(+ s__instance(s__Vertical,s__Abstract) )).++fof(kb_SUMOcache_3005,axiom,(+ s__instance(s__subclass__m,s__Relation) )).++fof(kb_SUMOcache_3006,axiom,(+ s__instance(s__subclass__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3007,axiom,(+ s__instance(s__subclass__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3008,axiom,(+ s__instance(s__subclass__m,s__Predicate) )).++fof(kb_SUMOcache_3009,axiom,(+ s__instance(s__subclass__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_3010,axiom,(+ s__instance(s__subclass__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3011,axiom,(+ s__instance(s__subclass__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_3012,axiom,(+ s__instance(s__subclass__m,s__Abstract) )).++fof(kb_SUMOcache_3013,axiom,(+ s__instance(s__subclass__m,s__Entity) )).++fof(kb_SUMOcache_3014,axiom,(+ s__instance(s__exhaustiveDecomposition__m,s__Relation) )).++fof(kb_SUMOcache_3015,axiom,(+ s__instance(s__exhaustiveDecomposition__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3016,axiom,(+ s__instance(s__exhaustiveDecomposition__m,s__Abstract) )).++fof(kb_SUMOcache_3017,axiom,(+ s__instance(s__exhaustiveDecomposition__m,s__Entity) )).++fof(kb_SUMOcache_3018,axiom,(+ s__instance(s__Kilogram,s__Quantity) )).++fof(kb_SUMOcache_3019,axiom,(+ s__instance(s__Kilogram,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_3020,axiom,(+ s__instance(s__Kilogram,s__UnitOfMeasure) )).++fof(kb_SUMOcache_3021,axiom,(+ s__instance(s__Kilogram,s__PhysicalQuantity) )).++fof(kb_SUMOcache_3022,axiom,(+ s__instance(s__Kilogram,s__Abstract) )).++fof(kb_SUMOcache_3023,axiom,(+ s__instance(s__Kilogram,s__Entity) )).++fof(kb_SUMOcache_3024,axiom,(+ s__instance(s__PicoFn__m,s__TotalValuedRelation) )).++fof(kb_SUMOcache_3025,axiom,(+ s__instance(s__PicoFn__m,s__Relation) )).++fof(kb_SUMOcache_3026,axiom,(+ s__instance(s__PicoFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3027,axiom,(+ s__instance(s__PicoFn__m,s__Function) )).++fof(kb_SUMOcache_3028,axiom,(+ s__instance(s__PicoFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3029,axiom,(+ s__instance(s__PicoFn__m,s__UnaryFunction) )).++fof(kb_SUMOcache_3030,axiom,(+ s__instance(s__PicoFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3031,axiom,(+ s__instance(s__PicoFn__m,s__Entity) )).++fof(kb_SUMOcache_3032,axiom,(+ s__instance(s__PicoFn__m,s__Abstract) )).++fof(kb_SUMOcache_3033,axiom,(+ s__instance(s__graphMeasure__m,s__Relation) )).++fof(kb_SUMOcache_3034,axiom,(+ s__instance(s__graphMeasure__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3035,axiom,(+ s__instance(s__graphMeasure__m,s__Predicate) )).++fof(kb_SUMOcache_3036,axiom,(+ s__instance(s__graphMeasure__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3037,axiom,(+ s__instance(s__graphMeasure__m,s__Abstract) )).++fof(kb_SUMOcache_3038,axiom,(+ s__instance(s__graphMeasure__m,s__Entity) )).++fof(kb_SUMOcache_3039,axiom,(+ s__instance(s__Fluid,s__Attribute) )).++fof(kb_SUMOcache_3040,axiom,(+ s__instance(s__Fluid,s__InternalAttribute) )).++fof(kb_SUMOcache_3041,axiom,(+ s__instance(s__Fluid,s__Abstract) )).++fof(kb_SUMOcache_3042,axiom,(+ s__instance(s__Fluid,s__Entity) )).++fof(kb_SUMOcache_3043,axiom,(+ s__instance(s__Meter,s__Quantity) )).++fof(kb_SUMOcache_3044,axiom,(+ s__instance(s__Meter,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_3045,axiom,(+ s__instance(s__Meter,s__UnitOfMeasure) )).++fof(kb_SUMOcache_3046,axiom,(+ s__instance(s__Meter,s__PhysicalQuantity) )).++fof(kb_SUMOcache_3047,axiom,(+ s__instance(s__Meter,s__Entity) )).++fof(kb_SUMOcache_3048,axiom,(+ s__instance(s__Meter,s__Abstract) )).++fof(kb_SUMOcache_3049,axiom,(+ s__instance(s__ListFn__m,s__Relation) )).++fof(kb_SUMOcache_3050,axiom,(+ s__instance(s__ListFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3051,axiom,(+ s__instance(s__ListFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3052,axiom,(+ s__instance(s__ListFn__m,s__Abstract) )).++fof(kb_SUMOcache_3053,axiom,(+ s__instance(s__ListFn__m,s__Entity) )).++fof(kb_SUMOcache_3054,axiom,(+ s__instance(s__PremisesFn__m,s__Relation) )).++fof(kb_SUMOcache_3055,axiom,(+ s__instance(s__PremisesFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3056,axiom,(+ s__instance(s__PremisesFn__m,s__Function) )).++fof(kb_SUMOcache_3057,axiom,(+ s__instance(s__PremisesFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3058,axiom,(+ s__instance(s__PremisesFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3059,axiom,(+ s__instance(s__PremisesFn__m,s__Abstract) )).++fof(kb_SUMOcache_3060,axiom,(+ s__instance(s__PremisesFn__m,s__Entity) )).++fof(kb_SUMOcache_3061,axiom,(+ s__instance(s__trichotomizingOn__m,s__Relation) )).++fof(kb_SUMOcache_3062,axiom,(+ s__instance(s__trichotomizingOn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3063,axiom,(+ s__instance(s__trichotomizingOn__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3064,axiom,(+ s__instance(s__trichotomizingOn__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_3065,axiom,(+ s__instance(s__trichotomizingOn__m,s__Predicate) )).++fof(kb_SUMOcache_3066,axiom,(+ s__instance(s__trichotomizingOn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3067,axiom,(+ s__instance(s__trichotomizingOn__m,s__Abstract) )).++fof(kb_SUMOcache_3068,axiom,(+ s__instance(s__trichotomizingOn__m,s__Entity) )).++fof(kb_SUMOcache_3069,axiom,(+ s__instance(s__direction__m,s__Relation) )).++fof(kb_SUMOcache_3070,axiom,(+ s__instance(s__direction__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3071,axiom,(+ s__instance(s__direction__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3072,axiom,(+ s__instance(s__direction__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_3073,axiom,(+ s__instance(s__direction__m,s__Predicate) )).++fof(kb_SUMOcache_3074,axiom,(+ s__instance(s__direction__m,s__BinaryPredicate) )).++fof(kb_SUMOcache_3075,axiom,(+ s__instance(s__direction__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_3076,axiom,(+ s__instance(s__direction__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3077,axiom,(+ s__instance(s__direction__m,s__Abstract) )).++fof(kb_SUMOcache_3078,axiom,(+ s__instance(s__direction__m,s__Entity) )).++fof(kb_SUMOcache_3079,axiom,(+ s__instance(s__LogFn__m,s__Relation) )).++fof(kb_SUMOcache_3080,axiom,(+ s__instance(s__LogFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3081,axiom,(+ s__instance(s__LogFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_3082,axiom,(+ s__instance(s__LogFn__m,s__Function) )).++fof(kb_SUMOcache_3083,axiom,(+ s__instance(s__LogFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3084,axiom,(+ s__instance(s__LogFn__m,s__Abstract) )).++fof(kb_SUMOcache_3085,axiom,(+ s__instance(s__LogFn__m,s__Entity) )).++fof(kb_SUMOcache_3086,axiom,(+ s__instance(s__attribute__m,s__Relation) )).++fof(kb_SUMOcache_3087,axiom,(+ s__instance(s__attribute__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3088,axiom,(+ s__instance(s__attribute__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3089,axiom,(+ s__instance(s__attribute__m,s__Predicate) )).++fof(kb_SUMOcache_3090,axiom,(+ s__instance(s__attribute__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3091,axiom,(+ s__instance(s__attribute__m,s__Entity) )).++fof(kb_SUMOcache_3092,axiom,(+ s__instance(s__attribute__m,s__Abstract) )).++fof(kb_SUMOcache_3093,axiom,(+ s__instance(s__South,s__Attribute) )).++fof(kb_SUMOcache_3094,axiom,(+ s__instance(s__South,s__PositionalAttribute) )).++fof(kb_SUMOcache_3095,axiom,(+ s__instance(s__South,s__RelationalAttribute) )).++fof(kb_SUMOcache_3096,axiom,(+ s__instance(s__South,s__Entity) )).++fof(kb_SUMOcache_3097,axiom,(+ s__instance(s__South,s__Abstract) )).++fof(kb_SUMOcache_3098,axiom,(+ s__instance(s__Slug,s__Quantity) )).++fof(kb_SUMOcache_3099,axiom,(+ s__instance(s__Slug,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_3100,axiom,(+ s__instance(s__Slug,s__UnitOfMeasure) )).++fof(kb_SUMOcache_3101,axiom,(+ s__instance(s__Slug,s__PhysicalQuantity) )).++fof(kb_SUMOcache_3102,axiom,(+ s__instance(s__Slug,s__Abstract) )).++fof(kb_SUMOcache_3103,axiom,(+ s__instance(s__Slug,s__Entity) )).++fof(kb_SUMOcache_3104,axiom,(+ s__instance(s__RelativeComplementFn__m,s__Relation) )).++fof(kb_SUMOcache_3105,axiom,(+ s__instance(s__RelativeComplementFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3106,axiom,(+ s__instance(s__RelativeComplementFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_3107,axiom,(+ s__instance(s__RelativeComplementFn__m,s__Function) )).++fof(kb_SUMOcache_3108,axiom,(+ s__instance(s__RelativeComplementFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3109,axiom,(+ s__instance(s__RelativeComplementFn__m,s__Abstract) )).++fof(kb_SUMOcache_3110,axiom,(+ s__instance(s__RelativeComplementFn__m,s__Entity) )).++fof(kb_SUMOcache_3111,axiom,(+ s__instance(s__MagnitudeFn__m,s__Relation) )).++fof(kb_SUMOcache_3112,axiom,(+ s__instance(s__MagnitudeFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3113,axiom,(+ s__instance(s__MagnitudeFn__m,s__Function) )).++fof(kb_SUMOcache_3114,axiom,(+ s__instance(s__MagnitudeFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3115,axiom,(+ s__instance(s__MagnitudeFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3116,axiom,(+ s__instance(s__MagnitudeFn__m,s__Abstract) )).++fof(kb_SUMOcache_3117,axiom,(+ s__instance(s__MagnitudeFn__m,s__Entity) )).++fof(kb_SUMOcache_3118,axiom,(+ s__instance(s__pointOfFigure__m,s__Relation) )).++fof(kb_SUMOcache_3119,axiom,(+ s__instance(s__pointOfFigure__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3120,axiom,(+ s__instance(s__pointOfFigure__m,s__Predicate) )).++fof(kb_SUMOcache_3121,axiom,(+ s__instance(s__pointOfFigure__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3122,axiom,(+ s__instance(s__pointOfFigure__m,s__Abstract) )).++fof(kb_SUMOcache_3123,axiom,(+ s__instance(s__pointOfFigure__m,s__Entity) )).++fof(kb_SUMOcache_3124,axiom,(+ s__instance(s__during__m,s__Relation) )).++fof(kb_SUMOcache_3125,axiom,(+ s__instance(s__during__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3126,axiom,(+ s__instance(s__during__m,s__Predicate) )).++fof(kb_SUMOcache_3127,axiom,(+ s__instance(s__during__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3128,axiom,(+ s__instance(s__during__m,s__Entity) )).++fof(kb_SUMOcache_3129,axiom,(+ s__instance(s__during__m,s__Abstract) )).++fof(kb_SUMOcache_3130,axiom,(+ s__instance(s__RemainderFn__m,s__Relation) )).++fof(kb_SUMOcache_3131,axiom,(+ s__instance(s__RemainderFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3132,axiom,(+ s__instance(s__RemainderFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_3133,axiom,(+ s__instance(s__RemainderFn__m,s__Function) )).++fof(kb_SUMOcache_3134,axiom,(+ s__instance(s__RemainderFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3135,axiom,(+ s__instance(s__RemainderFn__m,s__Abstract) )).++fof(kb_SUMOcache_3136,axiom,(+ s__instance(s__RemainderFn__m,s__Entity) )).++fof(kb_SUMOcache_3137,axiom,(+ s__instance(s__Damp,s__Attribute) )).++fof(kb_SUMOcache_3138,axiom,(+ s__instance(s__Damp,s__InternalAttribute) )).++fof(kb_SUMOcache_3139,axiom,(+ s__instance(s__Damp,s__Abstract) )).++fof(kb_SUMOcache_3140,axiom,(+ s__instance(s__Damp,s__Entity) )).++fof(kb_SUMOcache_3141,axiom,(+ s__instance(s__leader__m,s__Relation) )).++fof(kb_SUMOcache_3142,axiom,(+ s__instance(s__leader__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3143,axiom,(+ s__instance(s__leader__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3144,axiom,(+ s__instance(s__leader__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_3145,axiom,(+ s__instance(s__leader__m,s__Predicate) )).++fof(kb_SUMOcache_3146,axiom,(+ s__instance(s__leader__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3147,axiom,(+ s__instance(s__leader__m,s__Abstract) )).++fof(kb_SUMOcache_3148,axiom,(+ s__instance(s__leader__m,s__Entity) )).++fof(kb_SUMOcache_3149,axiom,(+ s__instance(s__immediateInstance__m,s__Relation) )).++fof(kb_SUMOcache_3150,axiom,(+ s__instance(s__immediateInstance__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3151,axiom,(+ s__instance(s__immediateInstance__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3152,axiom,(+ s__instance(s__immediateInstance__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_3153,axiom,(+ s__instance(s__immediateInstance__m,s__Predicate) )).++fof(kb_SUMOcache_3154,axiom,(+ s__instance(s__immediateInstance__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3155,axiom,(+ s__instance(s__immediateInstance__m,s__Abstract) )).++fof(kb_SUMOcache_3156,axiom,(+ s__instance(s__immediateInstance__m,s__Entity) )).++fof(kb_SUMOcache_3157,axiom,(+ s__instance(s__representsForAgent__m,s__Relation) )).++fof(kb_SUMOcache_3158,axiom,(+ s__instance(s__representsForAgent__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3159,axiom,(+ s__instance(s__representsForAgent__m,s__TernaryRelation) )).++fof(kb_SUMOcache_3160,axiom,(+ s__instance(s__representsForAgent__m,s__Predicate) )).++fof(kb_SUMOcache_3161,axiom,(+ s__instance(s__representsForAgent__m,s__Abstract) )).++fof(kb_SUMOcache_3162,axiom,(+ s__instance(s__representsForAgent__m,s__Entity) )).++fof(kb_SUMOcache_3163,axiom,(+ s__instance(s__Permission,s__ObjectiveNorm) )).++fof(kb_SUMOcache_3164,axiom,(+ s__instance(s__ObjectiveNorm__t,s__SetOrClass) )).++fof(kb_SUMOcache_3165,axiom,(+ s__instance(s__Permission,s__NormativeAttribute) )).++fof(kb_SUMOcache_3166,axiom,(+ s__instance(s__NormativeAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_3167,axiom,(+ s__instance(s__Permission,s__Attribute) )).++fof(kb_SUMOcache_3168,axiom,(+ s__instance(s__Permission,s__RelationalAttribute) )).++fof(kb_SUMOcache_3169,axiom,(+ s__instance(s__Permission,s__Entity) )).++fof(kb_SUMOcache_3170,axiom,(+ s__instance(s__Permission,s__Abstract) )).++fof(kb_SUMOcache_3171,axiom,(+ s__instance(s__familyRelation__m,s__Relation) )).++fof(kb_SUMOcache_3172,axiom,(+ s__instance(s__familyRelation__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3173,axiom,(+ s__instance(s__familyRelation__m,s__Predicate) )).++fof(kb_SUMOcache_3174,axiom,(+ s__instance(s__familyRelation__m,s__SymmetricRelation) )).++fof(kb_SUMOcache_3175,axiom,(+ s__instance(s__familyRelation__m,s__ReflexiveRelation) )).++fof(kb_SUMOcache_3176,axiom,(+ s__instance(s__familyRelation__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3177,axiom,(+ s__instance(s__familyRelation__m,s__TransitiveRelation) )).++fof(kb_SUMOcache_3178,axiom,(+ s__instance(s__familyRelation__m,s__Abstract) )).++fof(kb_SUMOcache_3179,axiom,(+ s__instance(s__familyRelation__m,s__Entity) )).++fof(kb_SUMOcache_3180,axiom,(+ s__instance(s__origin__m,s__Relation) )).++fof(kb_SUMOcache_3181,axiom,(+ s__instance(s__origin__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3182,axiom,(+ s__instance(s__origin__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3183,axiom,(+ s__instance(s__origin__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_3184,axiom,(+ s__instance(s__origin__m,s__Predicate) )).++fof(kb_SUMOcache_3185,axiom,(+ s__instance(s__origin__m,s__BinaryPredicate) )).++fof(kb_SUMOcache_3186,axiom,(+ s__instance(s__origin__m,s__AsymmetricRelation) )).++fof(kb_SUMOcache_3187,axiom,(+ s__instance(s__origin__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3188,axiom,(+ s__instance(s__origin__m,s__Abstract) )).++fof(kb_SUMOcache_3189,axiom,(+ s__instance(s__origin__m,s__Entity) )).++fof(kb_SUMOcache_3190,axiom,(+ s__instance(s__immediateSubclass__m,s__Relation) )).++fof(kb_SUMOcache_3191,axiom,(+ s__instance(s__immediateSubclass__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3192,axiom,(+ s__instance(s__immediateSubclass__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3193,axiom,(+ s__instance(s__immediateSubclass__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_3194,axiom,(+ s__instance(s__immediateSubclass__m,s__Predicate) )).++fof(kb_SUMOcache_3195,axiom,(+ s__instance(s__immediateSubclass__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3196,axiom,(+ s__instance(s__immediateSubclass__m,s__Abstract) )).++fof(kb_SUMOcache_3197,axiom,(+ s__instance(s__immediateSubclass__m,s__Entity) )).++fof(kb_SUMOcache_3198,axiom,(+ s__instance(s__TeraFn__m,s__TotalValuedRelation) )).++fof(kb_SUMOcache_3199,axiom,(+ s__instance(s__TeraFn__m,s__Relation) )).++fof(kb_SUMOcache_3200,axiom,(+ s__instance(s__TeraFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3201,axiom,(+ s__instance(s__TeraFn__m,s__Function) )).++fof(kb_SUMOcache_3202,axiom,(+ s__instance(s__TeraFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3203,axiom,(+ s__instance(s__TeraFn__m,s__UnaryFunction) )).++fof(kb_SUMOcache_3204,axiom,(+ s__instance(s__TeraFn__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3205,axiom,(+ s__instance(s__TeraFn__m,s__Entity) )).++fof(kb_SUMOcache_3206,axiom,(+ s__instance(s__TeraFn__m,s__Abstract) )).++fof(kb_SUMOcache_3207,axiom,(+ s__instance(s__linearExtent__m,s__Relation) )).++fof(kb_SUMOcache_3208,axiom,(+ s__instance(s__linearExtent__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3209,axiom,(+ s__instance(s__linearExtent__m,s__Predicate) )).++fof(kb_SUMOcache_3210,axiom,(+ s__instance(s__linearExtent__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3211,axiom,(+ s__instance(s__linearExtent__m,s__Abstract) )).++fof(kb_SUMOcache_3212,axiom,(+ s__instance(s__linearExtent__m,s__Entity) )).++fof(kb_SUMOcache_3213,axiom,(+ s__instance(s__refers__m,s__Relation) )).++fof(kb_SUMOcache_3214,axiom,(+ s__instance(s__refers__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3215,axiom,(+ s__instance(s__refers__m,s__Predicate) )).++fof(kb_SUMOcache_3216,axiom,(+ s__instance(s__refers__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3217,axiom,(+ s__instance(s__refers__m,s__Abstract) )).++fof(kb_SUMOcache_3218,axiom,(+ s__instance(s__refers__m,s__Entity) )).++fof(kb_SUMOcache_3219,axiom,(+ s__instance(s__identityElement__m,s__Relation) )).++fof(kb_SUMOcache_3220,axiom,(+ s__instance(s__identityElement__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3221,axiom,(+ s__instance(s__identityElement__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3222,axiom,(+ s__instance(s__identityElement__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_3223,axiom,(+ s__instance(s__identityElement__m,s__Predicate) )).++fof(kb_SUMOcache_3224,axiom,(+ s__instance(s__identityElement__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3225,axiom,(+ s__instance(s__identityElement__m,s__Abstract) )).++fof(kb_SUMOcache_3226,axiom,(+ s__instance(s__identityElement__m,s__Entity) )).++fof(kb_SUMOcache_3227,axiom,(+ s__instance(s__UnionFn__m,s__Relation) )).++fof(kb_SUMOcache_3228,axiom,(+ s__instance(s__UnionFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3229,axiom,(+ s__instance(s__UnionFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_3230,axiom,(+ s__instance(s__UnionFn__m,s__Function) )).++fof(kb_SUMOcache_3231,axiom,(+ s__instance(s__UnionFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3232,axiom,(+ s__instance(s__UnionFn__m,s__Abstract) )).++fof(kb_SUMOcache_3233,axiom,(+ s__instance(s__UnionFn__m,s__Entity) )).++fof(kb_SUMOcache_3234,axiom,(+ s__instance(s__Coulomb,s__Quantity) )).++fof(kb_SUMOcache_3235,axiom,(+ s__instance(s__Coulomb,s__UnitOfMeasure) )).++fof(kb_SUMOcache_3236,axiom,(+ s__instance(s__Coulomb,s__PhysicalQuantity) )).++fof(kb_SUMOcache_3237,axiom,(+ s__instance(s__Coulomb,s__Abstract) )).++fof(kb_SUMOcache_3238,axiom,(+ s__instance(s__Coulomb,s__Entity) )).++fof(kb_SUMOcache_3239,axiom,(+ s__instance(s__White,s__VisualAttribute) )).++fof(kb_SUMOcache_3240,axiom,(+ s__instance(s__VisualAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_3241,axiom,(+ s__instance(s__White,s__Attribute) )).++fof(kb_SUMOcache_3242,axiom,(+ s__instance(s__White,s__PerceptualAttribute) )).++fof(kb_SUMOcache_3243,axiom,(+ s__instance(s__White,s__ColorAttribute) )).++fof(kb_SUMOcache_3244,axiom,(+ s__instance(s__White,s__Entity) )).++fof(kb_SUMOcache_3245,axiom,(+ s__instance(s__White,s__Abstract) )).++fof(kb_SUMOcache_3246,axiom,(+ s__instance(s__inhabits__m,s__Relation) )).++fof(kb_SUMOcache_3247,axiom,(+ s__instance(s__inhabits__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3248,axiom,(+ s__instance(s__inhabits__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3249,axiom,(+ s__instance(s__inhabits__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_3250,axiom,(+ s__instance(s__inhabits__m,s__Predicate) )).++fof(kb_SUMOcache_3251,axiom,(+ s__instance(s__inhabits__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3252,axiom,(+ s__instance(s__inhabits__m,s__Abstract) )).++fof(kb_SUMOcache_3253,axiom,(+ s__instance(s__inhabits__m,s__Entity) )).++fof(kb_SUMOcache_3254,axiom,(+ s__instance(s__modalAttribute__m,s__Relation) )).++fof(kb_SUMOcache_3255,axiom,(+ s__instance(s__modalAttribute__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3256,axiom,(+ s__instance(s__modalAttribute__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3257,axiom,(+ s__instance(s__modalAttribute__m,s__Predicate) )).++fof(kb_SUMOcache_3258,axiom,(+ s__instance(s__modalAttribute__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3259,axiom,(+ s__instance(s__modalAttribute__m,s__Entity) )).++fof(kb_SUMOcache_3260,axiom,(+ s__instance(s__modalAttribute__m,s__Abstract) )).++fof(kb_SUMOcache_3261,axiom,(+ s__instance(s__realization__m,s__Relation) )).++fof(kb_SUMOcache_3262,axiom,(+ s__instance(s__realization__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3263,axiom,(+ s__instance(s__realization__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3264,axiom,(+ s__instance(s__realization__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_3265,axiom,(+ s__instance(s__realization__m,s__Predicate) )).++fof(kb_SUMOcache_3266,axiom,(+ s__instance(s__realization__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3267,axiom,(+ s__instance(s__realization__m,s__Abstract) )).++fof(kb_SUMOcache_3268,axiom,(+ s__instance(s__realization__m,s__Entity) )).++fof(kb_SUMOcache_3269,axiom,(+ s__instance(s__uses__m,s__Relation) )).++fof(kb_SUMOcache_3270,axiom,(+ s__instance(s__uses__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3271,axiom,(+ s__instance(s__uses__m,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3272,axiom,(+ s__instance(s__uses__m,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_3273,axiom,(+ s__instance(s__uses__m,s__Predicate) )).++fof(kb_SUMOcache_3274,axiom,(+ s__instance(s__uses__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3275,axiom,(+ s__instance(s__uses__m,s__Abstract) )).++fof(kb_SUMOcache_3276,axiom,(+ s__instance(s__uses__m,s__Entity) )).++fof(kb_SUMOcache_3277,axiom,(+ s__instance(s__SecondFn__m,s__Relation) )).++fof(kb_SUMOcache_3278,axiom,(+ s__instance(s__SecondFn__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3279,axiom,(+ s__instance(s__SecondFn__m,s__TernaryRelation) )).++fof(kb_SUMOcache_3280,axiom,(+ s__instance(s__SecondFn__m,s__Function) )).++fof(kb_SUMOcache_3281,axiom,(+ s__instance(s__SecondFn__m,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3282,axiom,(+ s__instance(s__SecondFn__m,s__Abstract) )).++fof(kb_SUMOcache_3283,axiom,(+ s__instance(s__SecondFn__m,s__Entity) )).++fof(kb_SUMOcache_3284,axiom,(+ s__instance(s__average__m,s__Relation) )).++fof(kb_SUMOcache_3285,axiom,(+ s__instance(s__average__m,s__InheritableRelation) )).++fof(kb_SUMOcache_3286,axiom,(+ s__instance(s__average__m,s__Predicate) )).++fof(kb_SUMOcache_3287,axiom,(+ s__instance(s__average__m,s__BinaryRelation) )).++fof(kb_SUMOcache_3288,axiom,(+ s__instance(s__average__m,s__Abstract) )).++fof(kb_SUMOcache_3289,axiom,(+ s__instance(s__average__m,s__Entity) )).++fof(kb_SUMOcache_3290,axiom,(+ s__subclass(s__JudicialOrganization,s__Physical) )).++fof(kb_SUMOcache_3291,axiom,(+ s__subclass(s__JudicialOrganization,s__Collection) )).++fof(kb_SUMOcache_3292,axiom,(+ s__instance(s__JudicialOrganization__t,s__SetOrClass) )).++fof(kb_SUMOcache_3293,axiom,(+ s__subclass(s__JudicialOrganization,s__Agent) )).++fof(kb_SUMOcache_3294,axiom,(+ s__subclass(s__JudicialOrganization,s__Object) )).++fof(kb_SUMOcache_3295,axiom,(+ s__subclass(s__JudicialOrganization,s__Group) )).++fof(kb_SUMOcache_3296,axiom,(+ s__subclass(s__JudicialOrganization,s__Entity) )).++fof(kb_SUMOcache_3297,axiom,(+ s__subclass(s__ParticleWord,s__Physical) )).++fof(kb_SUMOcache_3298,axiom,(+ s__subclass(s__ParticleWord,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3299,axiom,(+ s__subclass(s__ParticleWord,s__LinguisticExpression) )).++fof(kb_SUMOcache_3300,axiom,(+ s__subclass(s__ParticleWord,s__Entity) )).++fof(kb_SUMOcache_3301,axiom,(+ s__instance(s__ParticleWord__t,s__SetOrClass) )).++fof(kb_SUMOcache_3302,axiom,(+ s__subclass(s__Vocalizing,s__Physical) )).++fof(kb_SUMOcache_3303,axiom,(+ s__instance(s__Vocalizing__t,s__SetOrClass) )).++fof(kb_SUMOcache_3304,axiom,(+ s__subclass(s__Vocalizing,s__Motion) )).++fof(kb_SUMOcache_3305,axiom,(+ s__subclass(s__Vocalizing,s__Process) )).++fof(kb_SUMOcache_3306,axiom,(+ s__subclass(s__Vocalizing,s__Radiating) )).++fof(kb_SUMOcache_3307,axiom,(+ s__subclass(s__Vocalizing,s__Entity) )).++fof(kb_SUMOcache_3308,axiom,(+ s__subclass(s__SetOrClass,s__Entity) )).++fof(kb_SUMOcache_3309,axiom,(+ s__subclass(s__WaterCloud,s__Physical) )).++fof(kb_SUMOcache_3310,axiom,(+ s__subclass(s__WaterCloud,s__Mixture) )).++fof(kb_SUMOcache_3311,axiom,(+ s__subclass(s__WaterCloud,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3312,axiom,(+ s__subclass(s__WaterCloud,s__GasMixture) )).++fof(kb_SUMOcache_3313,axiom,(+ s__subclass(s__WaterCloud,s__Substance) )).++fof(kb_SUMOcache_3314,axiom,(+ s__subclass(s__WaterCloud,s__Object) )).++fof(kb_SUMOcache_3315,axiom,(+ s__instance(s__WaterCloud__t,s__SetOrClass) )).++fof(kb_SUMOcache_3316,axiom,(+ s__subclass(s__WaterCloud,s__Entity) )).++fof(kb_SUMOcache_3317,axiom,(+ s__subclass(s__SymmetricPositionalAttribute,s__Attribute) )).++fof(kb_SUMOcache_3318,axiom,(+ s__subclass(s__SymmetricPositionalAttribute,s__RelationalAttribute) )).++fof(kb_SUMOcache_3319,axiom,(+ s__subclass(s__SymmetricPositionalAttribute,s__Entity) )).++fof(kb_SUMOcache_3320,axiom,(+ s__instance(s__SymmetricPositionalAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_3321,axiom,(+ s__subclass(s__SymmetricPositionalAttribute,s__Abstract) )).++fof(kb_SUMOcache_3322,axiom,(+ s__subclass(s__SingleValuedRelation,s__Entity) )).++fof(kb_SUMOcache_3323,axiom,(+ s__subclass(s__SingleValuedRelation,s__Abstract) )).++fof(kb_SUMOcache_3324,axiom,(+ s__subclass(s__Eating,s__Physical) )).++fof(kb_SUMOcache_3325,axiom,(+ s__subclass(s__Eating,s__PhysiologicProcess) )).++fof(kb_SUMOcache_3326,axiom,(+ s__subclass(s__Eating,s__Process) )).++fof(kb_SUMOcache_3327,axiom,(+ s__subclass(s__Eating,s__BiologicalProcess) )).++fof(kb_SUMOcache_3328,axiom,(+ s__instance(s__Eating__t,s__SetOrClass) )).++fof(kb_SUMOcache_3329,axiom,(+ s__subclass(s__Eating,s__InternalChange) )).++fof(kb_SUMOcache_3330,axiom,(+ s__subclass(s__Eating,s__OrganismProcess) )).++fof(kb_SUMOcache_3331,axiom,(+ s__subclass(s__Eating,s__Entity) )).++fof(kb_SUMOcache_3332,axiom,(+ s__subclass(s__SentientAgent,s__Physical) )).++fof(kb_SUMOcache_3333,axiom,(+ s__instance(s__SentientAgent__t,s__SetOrClass) )).++fof(kb_SUMOcache_3334,axiom,(+ s__subclass(s__SentientAgent,s__Object) )).++fof(kb_SUMOcache_3335,axiom,(+ s__subclass(s__SentientAgent,s__Entity) )).++fof(kb_SUMOcache_3336,axiom,(+ s__subclass(s__GraphNode,s__Entity) )).++fof(kb_SUMOcache_3337,axiom,(+ s__subclass(s__GraphNode,s__Abstract) )).++fof(kb_SUMOcache_3338,axiom,(+ s__instance(s__GraphNode__t,s__SetOrClass) )).++fof(kb_SUMOcache_3339,axiom,(+ s__subclass(s__Room,s__Physical) )).++fof(kb_SUMOcache_3340,axiom,(+ s__subclass(s__Room,s__Artifact) )).++fof(kb_SUMOcache_3341,axiom,(+ s__subclass(s__Room,s__Object) )).++fof(kb_SUMOcache_3342,axiom,(+ s__subclass(s__Room,s__Entity) )).++fof(kb_SUMOcache_3343,axiom,(+ s__instance(s__Room__t,s__SetOrClass) )).++fof(kb_SUMOcache_3344,axiom,(+ s__subclass(s__ConstructedLanguage,s__Physical) )).++fof(kb_SUMOcache_3345,axiom,(+ s__subclass(s__ConstructedLanguage,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3346,axiom,(+ s__subclass(s__ConstructedLanguage,s__LinguisticExpression) )).++fof(kb_SUMOcache_3347,axiom,(+ s__instance(s__ConstructedLanguage__t,s__SetOrClass) )).++fof(kb_SUMOcache_3348,axiom,(+ s__subclass(s__ConstructedLanguage,s__Language) )).++fof(kb_SUMOcache_3349,axiom,(+ s__subclass(s__ConstructedLanguage,s__Entity) )).++fof(kb_SUMOcache_3350,axiom,(+ s__subclass(s__ParamilitaryOrganization,s__Physical) )).++fof(kb_SUMOcache_3351,axiom,(+ s__subclass(s__ParamilitaryOrganization,s__Collection) )).++fof(kb_SUMOcache_3352,axiom,(+ s__subclass(s__ParamilitaryOrganization,s__Agent) )).++fof(kb_SUMOcache_3353,axiom,(+ s__instance(s__ParamilitaryOrganization__t,s__SetOrClass) )).++fof(kb_SUMOcache_3354,axiom,(+ s__subclass(s__ParamilitaryOrganization,s__Organization) )).++fof(kb_SUMOcache_3355,axiom,(+ s__subclass(s__ParamilitaryOrganization,s__PoliticalOrganization) )).++fof(kb_SUMOcache_3356,axiom,(+ s__instance(s__PoliticalOrganization__t,s__SetOrClass) )).++fof(kb_SUMOcache_3357,axiom,(+ s__subclass(s__ParamilitaryOrganization,s__Object) )).++fof(kb_SUMOcache_3358,axiom,(+ s__subclass(s__ParamilitaryOrganization,s__Group) )).++fof(kb_SUMOcache_3359,axiom,(+ s__subclass(s__ParamilitaryOrganization,s__Entity) )).++fof(kb_SUMOcache_3360,axiom,(+ s__subclass(s__MultiGraph,s__Entity) )).++fof(kb_SUMOcache_3361,axiom,(+ s__subclass(s__MultiGraph,s__Abstract) )).++fof(kb_SUMOcache_3362,axiom,(+ s__instance(s__MultiGraph__t,s__SetOrClass) )).++fof(kb_SUMOcache_3363,axiom,(+ s__subclass(s__CompositeUnitOfMeasure,s__Quantity) )).++fof(kb_SUMOcache_3364,axiom,(+ s__subclass(s__CompositeUnitOfMeasure,s__Entity) )).++fof(kb_SUMOcache_3365,axiom,(+ s__subclass(s__CompositeUnitOfMeasure,s__Abstract) )).++fof(kb_SUMOcache_3366,axiom,(+ s__subclass(s__CompositeUnitOfMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_3367,axiom,(+ s__subclass(s__AutonomicProcess,s__Physical) )).++fof(kb_SUMOcache_3368,axiom,(+ s__subclass(s__AutonomicProcess,s__Process) )).++fof(kb_SUMOcache_3369,axiom,(+ s__subclass(s__AutonomicProcess,s__InternalChange) )).++fof(kb_SUMOcache_3370,axiom,(+ s__subclass(s__AutonomicProcess,s__BiologicalProcess) )).++fof(kb_SUMOcache_3371,axiom,(+ s__instance(s__AutonomicProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_3372,axiom,(+ s__subclass(s__AutonomicProcess,s__Entity) )).++fof(kb_SUMOcache_3373,axiom,(+ s__subclass(s__IntentionalProcess,s__Physical) )).++fof(kb_SUMOcache_3374,axiom,(+ s__subclass(s__IntentionalProcess,s__Entity) )).++fof(kb_SUMOcache_3375,axiom,(+ s__subclass(s__OrganicThing,s__Physical) )).++fof(kb_SUMOcache_3376,axiom,(+ s__subclass(s__OrganicThing,s__Object) )).++fof(kb_SUMOcache_3377,axiom,(+ s__subclass(s__OrganicThing,s__Entity) )).++fof(kb_SUMOcache_3378,axiom,(+ s__subclass(s__FinancialInstrument,s__Physical) )).++fof(kb_SUMOcache_3379,axiom,(+ s__subclass(s__FinancialInstrument,s__Text) )).++fof(kb_SUMOcache_3380,axiom,(+ s__instance(s__FinancialInstrument__t,s__SetOrClass) )).++fof(kb_SUMOcache_3381,axiom,(+ s__subclass(s__FinancialInstrument,s__Artifact) )).++fof(kb_SUMOcache_3382,axiom,(+ s__subclass(s__FinancialInstrument,s__ContentBearingObject) )).++fof(kb_SUMOcache_3383,axiom,(+ s__subclass(s__FinancialInstrument,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3384,axiom,(+ s__subclass(s__FinancialInstrument,s__LinguisticExpression) )).++fof(kb_SUMOcache_3385,axiom,(+ s__subclass(s__FinancialInstrument,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3386,axiom,(+ s__subclass(s__FinancialInstrument,s__Object) )).++fof(kb_SUMOcache_3387,axiom,(+ s__subclass(s__FinancialInstrument,s__CorpuscularObject) )).++fof(kb_SUMOcache_3388,axiom,(+ s__subclass(s__FinancialInstrument,s__Entity) )).++fof(kb_SUMOcache_3389,axiom,(+ s__subclass(s__CorpuscularObject,s__Physical) )).++fof(kb_SUMOcache_3390,axiom,(+ s__subclass(s__CorpuscularObject,s__Object) )).++fof(kb_SUMOcache_3391,axiom,(+ s__subclass(s__CorpuscularObject,s__Entity) )).++fof(kb_SUMOcache_3392,axiom,(+ s__subclass(s__Protein,s__Physical) )).++fof(kb_SUMOcache_3393,axiom,(+ s__subclass(s__Protein,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3394,axiom,(+ s__subclass(s__Protein,s__Substance) )).++fof(kb_SUMOcache_3395,axiom,(+ s__subclass(s__Protein,s__BiologicallyActiveSubstance) )).++fof(kb_SUMOcache_3396,axiom,(+ s__subclass(s__Protein,s__Object) )).++fof(kb_SUMOcache_3397,axiom,(+ s__subclass(s__Protein,s__Entity) )).++fof(kb_SUMOcache_3398,axiom,(+ s__instance(s__Protein__t,s__SetOrClass) )).++fof(kb_SUMOcache_3399,axiom,(+ s__subclass(s__Damaging,s__Physical) )).++fof(kb_SUMOcache_3400,axiom,(+ s__subclass(s__Damaging,s__Process) )).++fof(kb_SUMOcache_3401,axiom,(+ s__subclass(s__Damaging,s__Entity) )).++fof(kb_SUMOcache_3402,axiom,(+ s__subclass(s__OneToOneFunction,s__Relation) )).++fof(kb_SUMOcache_3403,axiom,(+ s__subclass(s__OneToOneFunction,s__InheritableRelation) )).++fof(kb_SUMOcache_3404,axiom,(+ s__subclass(s__OneToOneFunction,s__Function) )).++fof(kb_SUMOcache_3405,axiom,(+ s__subclass(s__OneToOneFunction,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3406,axiom,(+ s__subclass(s__OneToOneFunction,s__BinaryRelation) )).++fof(kb_SUMOcache_3407,axiom,(+ s__instance(s__OneToOneFunction__t,s__SetOrClass) )).++fof(kb_SUMOcache_3408,axiom,(+ s__subclass(s__OneToOneFunction,s__Entity) )).++fof(kb_SUMOcache_3409,axiom,(+ s__subclass(s__OneToOneFunction,s__Abstract) )).++fof(kb_SUMOcache_3410,axiom,(+ s__subclass(s__GraphElement,s__Entity) )).++fof(kb_SUMOcache_3411,axiom,(+ s__instance(s__GraphElement__t,s__SetOrClass) )).++fof(kb_SUMOcache_3412,axiom,(+ s__subclass(s__Spore,s__Physical) )).++fof(kb_SUMOcache_3413,axiom,(+ s__subclass(s__Spore,s__OrganicObject) )).++fof(kb_SUMOcache_3414,axiom,(+ s__subclass(s__Spore,s__BodyPart) )).++fof(kb_SUMOcache_3415,axiom,(+ s__instance(s__Spore__t,s__SetOrClass) )).++fof(kb_SUMOcache_3416,axiom,(+ s__subclass(s__Spore,s__AnatomicalStructure) )).++fof(kb_SUMOcache_3417,axiom,(+ s__subclass(s__Spore,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3418,axiom,(+ s__subclass(s__Spore,s__OrganicThing) )).++fof(kb_SUMOcache_3419,axiom,(+ s__subclass(s__Spore,s__CorpuscularObject) )).++fof(kb_SUMOcache_3420,axiom,(+ s__subclass(s__Spore,s__Object) )).++fof(kb_SUMOcache_3421,axiom,(+ s__subclass(s__Spore,s__Entity) )).++fof(kb_SUMOcache_3422,axiom,(+ s__subclass(s__AsexualReproduction,s__Physical) )).++fof(kb_SUMOcache_3423,axiom,(+ s__subclass(s__AsexualReproduction,s__PhysiologicProcess) )).++fof(kb_SUMOcache_3424,axiom,(+ s__subclass(s__AsexualReproduction,s__Process) )).++fof(kb_SUMOcache_3425,axiom,(+ s__subclass(s__AsexualReproduction,s__BiologicalProcess) )).++fof(kb_SUMOcache_3426,axiom,(+ s__subclass(s__AsexualReproduction,s__InternalChange) )).++fof(kb_SUMOcache_3427,axiom,(+ s__subclass(s__AsexualReproduction,s__OrganismProcess) )).++fof(kb_SUMOcache_3428,axiom,(+ s__instance(s__AsexualReproduction__t,s__SetOrClass) )).++fof(kb_SUMOcache_3429,axiom,(+ s__instance(s__OrganismProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_3430,axiom,(+ s__subclass(s__AsexualReproduction,s__Entity) )).++fof(kb_SUMOcache_3431,axiom,(+ s__subclass(s__Touching,s__Physical) )).++fof(kb_SUMOcache_3432,axiom,(+ s__instance(s__Touching__t,s__SetOrClass) )).++fof(kb_SUMOcache_3433,axiom,(+ s__subclass(s__Touching,s__Motion) )).++fof(kb_SUMOcache_3434,axiom,(+ s__subclass(s__Touching,s__Process) )).++fof(kb_SUMOcache_3435,axiom,(+ s__subclass(s__Touching,s__Translocation) )).++fof(kb_SUMOcache_3436,axiom,(+ s__subclass(s__Touching,s__Entity) )).++fof(kb_SUMOcache_3437,axiom,(+ s__subclass(s__LegalAgent,s__Physical) )).++fof(kb_SUMOcache_3438,axiom,(+ s__subclass(s__LegalAgent,s__Object) )).++fof(kb_SUMOcache_3439,axiom,(+ s__subclass(s__LegalAgent,s__Entity) )).++fof(kb_SUMOcache_3440,axiom,(+ s__subclass(s__OneDimensionalFigure,s__StructureAttribute) )).++fof(kb_SUMOcache_3441,axiom,(+ s__subclass(s__OneDimensionalFigure,s__ShapeAttribute) )).++fof(kb_SUMOcache_3442,axiom,(+ s__subclass(s__OneDimensionalFigure,s__Attribute) )).++fof(kb_SUMOcache_3443,axiom,(+ s__subclass(s__OneDimensionalFigure,s__InternalAttribute) )).++fof(kb_SUMOcache_3444,axiom,(+ s__instance(s__OneDimensionalFigure__t,s__SetOrClass) )).++fof(kb_SUMOcache_3445,axiom,(+ s__subclass(s__OneDimensionalFigure,s__Abstract) )).++fof(kb_SUMOcache_3446,axiom,(+ s__subclass(s__OneDimensionalFigure,s__Entity) )).++fof(kb_SUMOcache_3447,axiom,(+ s__subclass(s__NaturalLanguage,s__Physical) )).++fof(kb_SUMOcache_3448,axiom,(+ s__subclass(s__NaturalLanguage,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3449,axiom,(+ s__instance(s__NaturalLanguage__t,s__SetOrClass) )).++fof(kb_SUMOcache_3450,axiom,(+ s__subclass(s__NaturalLanguage,s__LinguisticExpression) )).++fof(kb_SUMOcache_3451,axiom,(+ s__subclass(s__NaturalLanguage,s__Language) )).++fof(kb_SUMOcache_3452,axiom,(+ s__subclass(s__NaturalLanguage,s__Entity) )).++fof(kb_SUMOcache_3453,axiom,(+ s__subclass(s__NaturalSubstance,s__Physical) )).++fof(kb_SUMOcache_3454,axiom,(+ s__subclass(s__NaturalSubstance,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3455,axiom,(+ s__subclass(s__NaturalSubstance,s__Object) )).++fof(kb_SUMOcache_3456,axiom,(+ s__instance(s__NaturalSubstance__t,s__SetOrClass) )).++fof(kb_SUMOcache_3457,axiom,(+ s__subclass(s__NaturalSubstance,s__Entity) )).++fof(kb_SUMOcache_3458,axiom,(+ s__subclass(s__EthnicGroup,s__Physical) )).++fof(kb_SUMOcache_3459,axiom,(+ s__subclass(s__EthnicGroup,s__Collection) )).++fof(kb_SUMOcache_3460,axiom,(+ s__subclass(s__EthnicGroup,s__Agent) )).++fof(kb_SUMOcache_3461,axiom,(+ s__subclass(s__EthnicGroup,s__Object) )).++fof(kb_SUMOcache_3462,axiom,(+ s__instance(s__EthnicGroup__t,s__SetOrClass) )).++fof(kb_SUMOcache_3463,axiom,(+ s__subclass(s__EthnicGroup,s__Group) )).++fof(kb_SUMOcache_3464,axiom,(+ s__subclass(s__EthnicGroup,s__Entity) )).++fof(kb_SUMOcache_3465,axiom,(+ s__subclass(s__ShapeAttribute,s__Attribute) )).++fof(kb_SUMOcache_3466,axiom,(+ s__subclass(s__ShapeAttribute,s__InternalAttribute) )).++fof(kb_SUMOcache_3467,axiom,(+ s__subclass(s__ShapeAttribute,s__Entity) )).++fof(kb_SUMOcache_3468,axiom,(+ s__subclass(s__ShapeAttribute,s__Abstract) )).++fof(kb_SUMOcache_3469,axiom,(+ s__subclass(s__Sport,s__Physical) )).++fof(kb_SUMOcache_3470,axiom,(+ s__subclass(s__Sport,s__RecreationOrExercise) )).++fof(kb_SUMOcache_3471,axiom,(+ s__subclass(s__Sport,s__SocialInteraction) )).++fof(kb_SUMOcache_3472,axiom,(+ s__instance(s__Sport__t,s__SetOrClass) )).++fof(kb_SUMOcache_3473,axiom,(+ s__subclass(s__Sport,s__Process) )).++fof(kb_SUMOcache_3474,axiom,(+ s__subclass(s__Sport,s__IntentionalProcess) )).++fof(kb_SUMOcache_3475,axiom,(+ s__subclass(s__Sport,s__Contest) )).++fof(kb_SUMOcache_3476,axiom,(+ s__instance(s__Contest__t,s__SetOrClass) )).++fof(kb_SUMOcache_3477,axiom,(+ s__subclass(s__Sport,s__Entity) )).++fof(kb_SUMOcache_3478,axiom,(+ s__subclass(s__Fish,s__Physical) )).++fof(kb_SUMOcache_3479,axiom,(+ s__subclass(s__Fish,s__OrganicObject) )).++fof(kb_SUMOcache_3480,axiom,(+ s__subclass(s__Fish,s__Agent) )).++fof(kb_SUMOcache_3481,axiom,(+ s__subclass(s__Fish,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3482,axiom,(+ s__subclass(s__Fish,s__Animal) )).++fof(kb_SUMOcache_3483,axiom,(+ s__subclass(s__Fish,s__Vertebrate) )).++fof(kb_SUMOcache_3484,axiom,(+ s__subclass(s__Fish,s__OrganicThing) )).++fof(kb_SUMOcache_3485,axiom,(+ s__subclass(s__Fish,s__Organism) )).++fof(kb_SUMOcache_3486,axiom,(+ s__subclass(s__Fish,s__Object) )).++fof(kb_SUMOcache_3487,axiom,(+ s__subclass(s__Fish,s__CorpuscularObject) )).++fof(kb_SUMOcache_3488,axiom,(+ s__instance(s__Fish__t,s__SetOrClass) )).++fof(kb_SUMOcache_3489,axiom,(+ s__subclass(s__Fish,s__Entity) )).++fof(kb_SUMOcache_3490,axiom,(+ s__subclass(s__Carrying,s__Physical) )).++fof(kb_SUMOcache_3491,axiom,(+ s__instance(s__Carrying__t,s__SetOrClass) )).++fof(kb_SUMOcache_3492,axiom,(+ s__subclass(s__Carrying,s__Motion) )).++fof(kb_SUMOcache_3493,axiom,(+ s__subclass(s__Carrying,s__Process) )).++fof(kb_SUMOcache_3494,axiom,(+ s__subclass(s__Carrying,s__Translocation) )).++fof(kb_SUMOcache_3495,axiom,(+ s__instance(s__Translocation__t,s__SetOrClass) )).++fof(kb_SUMOcache_3496,axiom,(+ s__subclass(s__Carrying,s__Entity) )).++fof(kb_SUMOcache_3497,axiom,(+ s__subclass(s__Comparing,s__Physical) )).++fof(kb_SUMOcache_3498,axiom,(+ s__subclass(s__Comparing,s__Process) )).++fof(kb_SUMOcache_3499,axiom,(+ s__subclass(s__Comparing,s__PsychologicalProcess) )).++fof(kb_SUMOcache_3500,axiom,(+ s__subclass(s__Comparing,s__InternalChange) )).++fof(kb_SUMOcache_3501,axiom,(+ s__subclass(s__Comparing,s__BiologicalProcess) )).++fof(kb_SUMOcache_3502,axiom,(+ s__instance(s__Comparing__t,s__SetOrClass) )).++fof(kb_SUMOcache_3503,axiom,(+ s__subclass(s__Comparing,s__IntentionalProcess) )).++fof(kb_SUMOcache_3504,axiom,(+ s__subclass(s__Comparing,s__Entity) )).++fof(kb_SUMOcache_3505,axiom,(+ s__subclass(s__LandArea,s__Physical) )).++fof(kb_SUMOcache_3506,axiom,(+ s__subclass(s__LandArea,s__Region) )).++fof(kb_SUMOcache_3507,axiom,(+ s__subclass(s__LandArea,s__Object) )).++fof(kb_SUMOcache_3508,axiom,(+ s__subclass(s__LandArea,s__Entity) )).++fof(kb_SUMOcache_3509,axiom,(+ s__subclass(s__SoundAttribute,s__Attribute) )).++fof(kb_SUMOcache_3510,axiom,(+ s__instance(s__SoundAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_3511,axiom,(+ s__subclass(s__SoundAttribute,s__Abstract) )).++fof(kb_SUMOcache_3512,axiom,(+ s__subclass(s__SoundAttribute,s__Entity) )).++fof(kb_SUMOcache_3513,axiom,(+ s__subclass(s__Reading,s__Physical) )).++fof(kb_SUMOcache_3514,axiom,(+ s__subclass(s__Reading,s__Process) )).++fof(kb_SUMOcache_3515,axiom,(+ s__subclass(s__Reading,s__IntentionalProcess) )).++fof(kb_SUMOcache_3516,axiom,(+ s__instance(s__Reading__t,s__SetOrClass) )).++fof(kb_SUMOcache_3517,axiom,(+ s__subclass(s__Reading,s__Entity) )).++fof(kb_SUMOcache_3518,axiom,(+ s__subclass(s__Cell,s__Physical) )).++fof(kb_SUMOcache_3519,axiom,(+ s__subclass(s__Cell,s__OrganicObject) )).++fof(kb_SUMOcache_3520,axiom,(+ s__subclass(s__Cell,s__AnatomicalStructure) )).++fof(kb_SUMOcache_3521,axiom,(+ s__subclass(s__Cell,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3522,axiom,(+ s__subclass(s__Cell,s__OrganicThing) )).++fof(kb_SUMOcache_3523,axiom,(+ s__subclass(s__Cell,s__Object) )).++fof(kb_SUMOcache_3524,axiom,(+ s__subclass(s__Cell,s__CorpuscularObject) )).++fof(kb_SUMOcache_3525,axiom,(+ s__subclass(s__Cell,s__Entity) )).++fof(kb_SUMOcache_3526,axiom,(+ s__instance(s__Cell__t,s__SetOrClass) )).++fof(kb_SUMOcache_3527,axiom,(+ s__subclass(s__Separating,s__Physical) )).++fof(kb_SUMOcache_3528,axiom,(+ s__subclass(s__Separating,s__Process) )).++fof(kb_SUMOcache_3529,axiom,(+ s__subclass(s__Separating,s__Entity) )).++fof(kb_SUMOcache_3530,axiom,(+ s__subclass(s__Worm,s__Physical) )).++fof(kb_SUMOcache_3531,axiom,(+ s__subclass(s__Worm,s__OrganicObject) )).++fof(kb_SUMOcache_3532,axiom,(+ s__subclass(s__Worm,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3533,axiom,(+ s__instance(s__Worm__t,s__SetOrClass) )).++fof(kb_SUMOcache_3534,axiom,(+ s__subclass(s__Worm,s__Agent) )).++fof(kb_SUMOcache_3535,axiom,(+ s__subclass(s__Worm,s__Animal) )).++fof(kb_SUMOcache_3536,axiom,(+ s__subclass(s__Worm,s__OrganicThing) )).++fof(kb_SUMOcache_3537,axiom,(+ s__subclass(s__Worm,s__Organism) )).++fof(kb_SUMOcache_3538,axiom,(+ s__subclass(s__Worm,s__CorpuscularObject) )).++fof(kb_SUMOcache_3539,axiom,(+ s__subclass(s__Worm,s__Object) )).++fof(kb_SUMOcache_3540,axiom,(+ s__subclass(s__Worm,s__Entity) )).++fof(kb_SUMOcache_3541,axiom,(+ s__subclass(s__Substance,s__Physical) )).++fof(kb_SUMOcache_3542,axiom,(+ s__subclass(s__Substance,s__Object) )).++fof(kb_SUMOcache_3543,axiom,(+ s__subclass(s__Substance,s__Entity) )).++fof(kb_SUMOcache_3544,axiom,(+ s__subclass(s__MutuallyDisjointClass,s__Abstract) )).++fof(kb_SUMOcache_3545,axiom,(+ s__subclass(s__MutuallyDisjointClass,s__Entity) )).++fof(kb_SUMOcache_3546,axiom,(+ s__instance(s__MutuallyDisjointClass__t,s__SetOrClass) )).++fof(kb_SUMOcache_3547,axiom,(+ s__subclass(s__Battle,s__Physical) )).++fof(kb_SUMOcache_3548,axiom,(+ s__subclass(s__Battle,s__SocialInteraction) )).++fof(kb_SUMOcache_3549,axiom,(+ s__subclass(s__Battle,s__Process) )).++fof(kb_SUMOcache_3550,axiom,(+ s__subclass(s__Battle,s__IntentionalProcess) )).++fof(kb_SUMOcache_3551,axiom,(+ s__subclass(s__Battle,s__Contest) )).++fof(kb_SUMOcache_3552,axiom,(+ s__instance(s__Battle__t,s__SetOrClass) )).++fof(kb_SUMOcache_3553,axiom,(+ s__subclass(s__Battle,s__Entity) )).++fof(kb_SUMOcache_3554,axiom,(+ s__subclass(s__Melting,s__Physical) )).++fof(kb_SUMOcache_3555,axiom,(+ s__instance(s__Melting__t,s__SetOrClass) )).++fof(kb_SUMOcache_3556,axiom,(+ s__subclass(s__Melting,s__Process) )).++fof(kb_SUMOcache_3557,axiom,(+ s__subclass(s__Melting,s__InternalChange) )).++fof(kb_SUMOcache_3558,axiom,(+ s__subclass(s__Melting,s__Entity) )).++fof(kb_SUMOcache_3559,axiom,(+ s__subclass(s__Word,s__Physical) )).++fof(kb_SUMOcache_3560,axiom,(+ s__instance(s__Word__t,s__SetOrClass) )).++fof(kb_SUMOcache_3561,axiom,(+ s__subclass(s__Word,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3562,axiom,(+ s__subclass(s__Word,s__Entity) )).++fof(kb_SUMOcache_3563,axiom,(+ s__subclass(s__Tree,s__Graph) )).++fof(kb_SUMOcache_3564,axiom,(+ s__subclass(s__Tree,s__Abstract) )).++fof(kb_SUMOcache_3565,axiom,(+ s__subclass(s__Tree,s__Entity) )).++fof(kb_SUMOcache_3566,axiom,(+ s__instance(s__Tree__t,s__SetOrClass) )).++fof(kb_SUMOcache_3567,axiom,(+ s__subclass(s__Planning,s__Physical) )).++fof(kb_SUMOcache_3568,axiom,(+ s__subclass(s__Planning,s__Process) )).++fof(kb_SUMOcache_3569,axiom,(+ s__subclass(s__Planning,s__PsychologicalProcess) )).++fof(kb_SUMOcache_3570,axiom,(+ s__subclass(s__Planning,s__InternalChange) )).++fof(kb_SUMOcache_3571,axiom,(+ s__subclass(s__Planning,s__BiologicalProcess) )).++fof(kb_SUMOcache_3572,axiom,(+ s__subclass(s__Planning,s__IntentionalProcess) )).++fof(kb_SUMOcache_3573,axiom,(+ s__instance(s__Planning__t,s__SetOrClass) )).++fof(kb_SUMOcache_3574,axiom,(+ s__subclass(s__Planning,s__Entity) )).++fof(kb_SUMOcache_3575,axiom,(+ s__subclass(s__Attack,s__Physical) )).++fof(kb_SUMOcache_3576,axiom,(+ s__subclass(s__Attack,s__Process) )).++fof(kb_SUMOcache_3577,axiom,(+ s__subclass(s__Attack,s__IntentionalProcess) )).++fof(kb_SUMOcache_3578,axiom,(+ s__instance(s__Attack__t,s__SetOrClass) )).++fof(kb_SUMOcache_3579,axiom,(+ s__subclass(s__Attack,s__Entity) )).++fof(kb_SUMOcache_3580,axiom,(+ s__subclass(s__NonnegativeInteger,s__Quantity) )).++fof(kb_SUMOcache_3581,axiom,(+ s__subclass(s__NonnegativeInteger,s__Number) )).++fof(kb_SUMOcache_3582,axiom,(+ s__subclass(s__NonnegativeInteger,s__RealNumber) )).++fof(kb_SUMOcache_3583,axiom,(+ s__subclass(s__NonnegativeInteger,s__Entity) )).++fof(kb_SUMOcache_3584,axiom,(+ s__subclass(s__NonnegativeInteger,s__Abstract) )).++fof(kb_SUMOcache_3585,axiom,(+ s__instance(s__NonnegativeInteger__t,s__SetOrClass) )).++fof(kb_SUMOcache_3586,axiom,(+ s__subclass(s__NonnegativeInteger,s__RationalNumber) )).++fof(kb_SUMOcache_3587,axiom,(+ s__subclass(s__QuaternaryRelation,s__Entity) )).++fof(kb_SUMOcache_3588,axiom,(+ s__subclass(s__QuaternaryRelation,s__Abstract) )).++fof(kb_SUMOcache_3589,axiom,(+ s__subclass(s__Constructing,s__Physical) )).++fof(kb_SUMOcache_3590,axiom,(+ s__subclass(s__Constructing,s__Creation) )).++fof(kb_SUMOcache_3591,axiom,(+ s__subclass(s__Constructing,s__Process) )).++fof(kb_SUMOcache_3592,axiom,(+ s__subclass(s__Constructing,s__InternalChange) )).++fof(kb_SUMOcache_3593,axiom,(+ s__subclass(s__Constructing,s__IntentionalProcess) )).++fof(kb_SUMOcache_3594,axiom,(+ s__instance(s__Constructing__t,s__SetOrClass) )).++fof(kb_SUMOcache_3595,axiom,(+ s__subclass(s__Constructing,s__Entity) )).++fof(kb_SUMOcache_3596,axiom,(+ s__subclass(s__Giving,s__Physical) )).++fof(kb_SUMOcache_3597,axiom,(+ s__subclass(s__Giving,s__SocialInteraction) )).++fof(kb_SUMOcache_3598,axiom,(+ s__subclass(s__Giving,s__Process) )).++fof(kb_SUMOcache_3599,axiom,(+ s__subclass(s__Giving,s__IntentionalProcess) )).++fof(kb_SUMOcache_3600,axiom,(+ s__subclass(s__Giving,s__Entity) )).++fof(kb_SUMOcache_3601,axiom,(+ s__instance(s__Giving__t,s__SetOrClass) )).++fof(kb_SUMOcache_3602,axiom,(+ s__subclass(s__Offering,s__Physical) )).++fof(kb_SUMOcache_3603,axiom,(+ s__subclass(s__Offering,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3604,axiom,(+ s__subclass(s__Offering,s__SocialInteraction) )).++fof(kb_SUMOcache_3605,axiom,(+ s__instance(s__Offering__t,s__SetOrClass) )).++fof(kb_SUMOcache_3606,axiom,(+ s__subclass(s__Offering,s__Process) )).++fof(kb_SUMOcache_3607,axiom,(+ s__subclass(s__Offering,s__Communication) )).++fof(kb_SUMOcache_3608,axiom,(+ s__subclass(s__Offering,s__IntentionalProcess) )).++fof(kb_SUMOcache_3609,axiom,(+ s__subclass(s__Offering,s__ContentBearingProcess) )).++fof(kb_SUMOcache_3610,axiom,(+ s__subclass(s__Offering,s__LinguisticCommunication) )).++fof(kb_SUMOcache_3611,axiom,(+ s__subclass(s__Offering,s__Entity) )).++fof(kb_SUMOcache_3612,axiom,(+ s__subclass(s__RadiatingElectromagnetic,s__Physical) )).++fof(kb_SUMOcache_3613,axiom,(+ s__subclass(s__RadiatingElectromagnetic,s__Motion) )).++fof(kb_SUMOcache_3614,axiom,(+ s__instance(s__RadiatingElectromagnetic__t,s__SetOrClass) )).++fof(kb_SUMOcache_3615,axiom,(+ s__subclass(s__RadiatingElectromagnetic,s__Process) )).++fof(kb_SUMOcache_3616,axiom,(+ s__subclass(s__RadiatingElectromagnetic,s__Entity) )).++fof(kb_SUMOcache_3617,axiom,(+ s__subclass(s__Drinking,s__Physical) )).++fof(kb_SUMOcache_3618,axiom,(+ s__subclass(s__Drinking,s__PhysiologicProcess) )).++fof(kb_SUMOcache_3619,axiom,(+ s__subclass(s__Drinking,s__Process) )).++fof(kb_SUMOcache_3620,axiom,(+ s__instance(s__Drinking__t,s__SetOrClass) )).++fof(kb_SUMOcache_3621,axiom,(+ s__subclass(s__Drinking,s__BiologicalProcess) )).++fof(kb_SUMOcache_3622,axiom,(+ s__subclass(s__Drinking,s__InternalChange) )).++fof(kb_SUMOcache_3623,axiom,(+ s__subclass(s__Drinking,s__OrganismProcess) )).++fof(kb_SUMOcache_3624,axiom,(+ s__subclass(s__Drinking,s__Entity) )).++fof(kb_SUMOcache_3625,axiom,(+ s__subclass(s__CelsiusDegree,s__Quantity) )).++fof(kb_SUMOcache_3626,axiom,(+ s__subclass(s__CelsiusDegree,s__NonCompositeUnitOfMeasure) )).++fof(kb_SUMOcache_3627,axiom,(+ s__subclass(s__CelsiusDegree,s__UnitOfMeasure) )).++fof(kb_SUMOcache_3628,axiom,(+ s__instance(s__CelsiusDegree__t,s__SetOrClass) )).++fof(kb_SUMOcache_3629,axiom,(+ s__subclass(s__CelsiusDegree,s__Entity) )).++fof(kb_SUMOcache_3630,axiom,(+ s__subclass(s__CelsiusDegree,s__Abstract) )).++fof(kb_SUMOcache_3631,axiom,(+ s__subclass(s__CelsiusDegree,s__PhysicalQuantity) )).++fof(kb_SUMOcache_3632,axiom,(+ s__subclass(s__ChemicalProcess,s__Physical) )).++fof(kb_SUMOcache_3633,axiom,(+ s__subclass(s__ChemicalProcess,s__Process) )).++fof(kb_SUMOcache_3634,axiom,(+ s__subclass(s__ChemicalProcess,s__Entity) )).++fof(kb_SUMOcache_3635,axiom,(+ s__subclass(s__Drying,s__Physical) )).++fof(kb_SUMOcache_3636,axiom,(+ s__instance(s__Drying__t,s__SetOrClass) )).++fof(kb_SUMOcache_3637,axiom,(+ s__subclass(s__Drying,s__Motion) )).++fof(kb_SUMOcache_3638,axiom,(+ s__subclass(s__Drying,s__Process) )).++fof(kb_SUMOcache_3639,axiom,(+ s__subclass(s__Drying,s__Translocation) )).++fof(kb_SUMOcache_3640,axiom,(+ s__subclass(s__Drying,s__Transfer) )).++fof(kb_SUMOcache_3641,axiom,(+ s__instance(s__Transfer__t,s__SetOrClass) )).++fof(kb_SUMOcache_3642,axiom,(+ s__subclass(s__Drying,s__Entity) )).++fof(kb_SUMOcache_3643,axiom,(+ s__subclass(s__Making,s__Physical) )).++fof(kb_SUMOcache_3644,axiom,(+ s__subclass(s__Making,s__Process) )).++fof(kb_SUMOcache_3645,axiom,(+ s__subclass(s__Making,s__InternalChange) )).++fof(kb_SUMOcache_3646,axiom,(+ s__subclass(s__Making,s__Entity) )).++fof(kb_SUMOcache_3647,axiom,(+ s__subclass(s__BiologicalProcess,s__Physical) )).++fof(kb_SUMOcache_3648,axiom,(+ s__subclass(s__BiologicalProcess,s__Process) )).++fof(kb_SUMOcache_3649,axiom,(+ s__subclass(s__BiologicalProcess,s__Entity) )).++fof(kb_SUMOcache_3650,axiom,(+ s__subclass(s__Advertising,s__Physical) )).++fof(kb_SUMOcache_3651,axiom,(+ s__subclass(s__Advertising,s__SocialInteraction) )).++fof(kb_SUMOcache_3652,axiom,(+ s__subclass(s__Advertising,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3653,axiom,(+ s__subclass(s__Advertising,s__Process) )).++fof(kb_SUMOcache_3654,axiom,(+ s__instance(s__Advertising__t,s__SetOrClass) )).++fof(kb_SUMOcache_3655,axiom,(+ s__subclass(s__Advertising,s__Communication) )).++fof(kb_SUMOcache_3656,axiom,(+ s__subclass(s__Advertising,s__IntentionalProcess) )).++fof(kb_SUMOcache_3657,axiom,(+ s__subclass(s__Advertising,s__ContentBearingProcess) )).++fof(kb_SUMOcache_3658,axiom,(+ s__subclass(s__Advertising,s__Entity) )).++fof(kb_SUMOcache_3659,axiom,(+ s__subclass(s__Character,s__Physical) )).++fof(kb_SUMOcache_3660,axiom,(+ s__subclass(s__Character,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3661,axiom,(+ s__subclass(s__Character,s__ContentBearingObject) )).++fof(kb_SUMOcache_3662,axiom,(+ s__subclass(s__Character,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3663,axiom,(+ s__instance(s__Character__t,s__SetOrClass) )).++fof(kb_SUMOcache_3664,axiom,(+ s__subclass(s__Character,s__CorpuscularObject) )).++fof(kb_SUMOcache_3665,axiom,(+ s__subclass(s__Character,s__Object) )).++fof(kb_SUMOcache_3666,axiom,(+ s__subclass(s__Character,s__Entity) )).++fof(kb_SUMOcache_3667,axiom,(+ s__subclass(s__Expressing,s__Physical) )).++fof(kb_SUMOcache_3668,axiom,(+ s__subclass(s__Expressing,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3669,axiom,(+ s__subclass(s__Expressing,s__SocialInteraction) )).++fof(kb_SUMOcache_3670,axiom,(+ s__instance(s__Expressing__t,s__SetOrClass) )).++fof(kb_SUMOcache_3671,axiom,(+ s__subclass(s__Expressing,s__Process) )).++fof(kb_SUMOcache_3672,axiom,(+ s__subclass(s__Expressing,s__IntentionalProcess) )).++fof(kb_SUMOcache_3673,axiom,(+ s__subclass(s__Expressing,s__ContentBearingProcess) )).++fof(kb_SUMOcache_3674,axiom,(+ s__subclass(s__Expressing,s__Entity) )).++fof(kb_SUMOcache_3675,axiom,(+ s__subclass(s__SyntheticSubstance,s__Physical) )).++fof(kb_SUMOcache_3676,axiom,(+ s__subclass(s__SyntheticSubstance,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3677,axiom,(+ s__subclass(s__SyntheticSubstance,s__Object) )).++fof(kb_SUMOcache_3678,axiom,(+ s__instance(s__SyntheticSubstance__t,s__SetOrClass) )).++fof(kb_SUMOcache_3679,axiom,(+ s__subclass(s__SyntheticSubstance,s__Entity) )).++fof(kb_SUMOcache_3680,axiom,(+ s__subclass(s__Lending,s__Physical) )).++fof(kb_SUMOcache_3681,axiom,(+ s__subclass(s__Lending,s__SocialInteraction) )).++fof(kb_SUMOcache_3682,axiom,(+ s__instance(s__Lending__t,s__SetOrClass) )).++fof(kb_SUMOcache_3683,axiom,(+ s__subclass(s__Lending,s__Process) )).++fof(kb_SUMOcache_3684,axiom,(+ s__subclass(s__Lending,s__ChangeOfPossession) )).++fof(kb_SUMOcache_3685,axiom,(+ s__subclass(s__Lending,s__IntentionalProcess) )).++fof(kb_SUMOcache_3686,axiom,(+ s__subclass(s__Lending,s__Entity) )).++fof(kb_SUMOcache_3687,axiom,(+ s__subclass(s__Minute,s__Quantity) )).++fof(kb_SUMOcache_3688,axiom,(+ s__subclass(s__Minute,s__ConstantQuantity) )).++fof(kb_SUMOcache_3689,axiom,(+ s__subclass(s__Minute,s__TimeMeasure) )).++fof(kb_SUMOcache_3690,axiom,(+ s__instance(s__Minute__t,s__SetOrClass) )).++fof(kb_SUMOcache_3691,axiom,(+ s__instance(s__TimeMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_3692,axiom,(+ s__subclass(s__Minute,s__TimePosition) )).++fof(kb_SUMOcache_3693,axiom,(+ s__subclass(s__Minute,s__Abstract) )).++fof(kb_SUMOcache_3694,axiom,(+ s__subclass(s__Minute,s__Entity) )).++fof(kb_SUMOcache_3695,axiom,(+ s__subclass(s__Minute,s__PhysicalQuantity) )).++fof(kb_SUMOcache_3696,axiom,(+ s__subclass(s__EquivalenceRelation,s__Relation) )).++fof(kb_SUMOcache_3697,axiom,(+ s__subclass(s__EquivalenceRelation,s__InheritableRelation) )).++fof(kb_SUMOcache_3698,axiom,(+ s__instance(s__EquivalenceRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_3699,axiom,(+ s__subclass(s__EquivalenceRelation,s__BinaryRelation) )).++fof(kb_SUMOcache_3700,axiom,(+ s__subclass(s__EquivalenceRelation,s__Entity) )).++fof(kb_SUMOcache_3701,axiom,(+ s__subclass(s__EquivalenceRelation,s__Abstract) )).++fof(kb_SUMOcache_3702,axiom,(+ s__subclass(s__GasMixture,s__Physical) )).++fof(kb_SUMOcache_3703,axiom,(+ s__subclass(s__GasMixture,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3704,axiom,(+ s__subclass(s__GasMixture,s__Substance) )).++fof(kb_SUMOcache_3705,axiom,(+ s__subclass(s__GasMixture,s__Object) )).++fof(kb_SUMOcache_3706,axiom,(+ s__instance(s__GasMixture__t,s__SetOrClass) )).++fof(kb_SUMOcache_3707,axiom,(+ s__subclass(s__GasMixture,s__Entity) )).++fof(kb_SUMOcache_3708,axiom,(+ s__subclass(s__GeologicalProcess,s__Physical) )).++fof(kb_SUMOcache_3709,axiom,(+ s__instance(s__GeologicalProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_3710,axiom,(+ s__subclass(s__GeologicalProcess,s__Process) )).++fof(kb_SUMOcache_3711,axiom,(+ s__subclass(s__GeologicalProcess,s__Entity) )).++fof(kb_SUMOcache_3712,axiom,(+ s__subclass(s__Proposition,s__Entity) )).++fof(kb_SUMOcache_3713,axiom,(+ s__subclass(s__PropositionalAttitude,s__Relation) )).++fof(kb_SUMOcache_3714,axiom,(+ s__subclass(s__PropositionalAttitude,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3715,axiom,(+ s__subclass(s__PropositionalAttitude,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_3716,axiom,(+ s__subclass(s__PropositionalAttitude,s__BinaryRelation) )).++fof(kb_SUMOcache_3717,axiom,(+ s__subclass(s__PropositionalAttitude,s__Abstract) )).++fof(kb_SUMOcache_3718,axiom,(+ s__subclass(s__PropositionalAttitude,s__Entity) )).++fof(kb_SUMOcache_3719,axiom,(+ s__instance(s__PropositionalAttitude__t,s__SetOrClass) )).++fof(kb_SUMOcache_3720,axiom,(+ s__subclass(s__NounPhrase,s__Physical) )).++fof(kb_SUMOcache_3721,axiom,(+ s__subclass(s__NounPhrase,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3722,axiom,(+ s__subclass(s__NounPhrase,s__LinguisticExpression) )).++fof(kb_SUMOcache_3723,axiom,(+ s__instance(s__NounPhrase__t,s__SetOrClass) )).++fof(kb_SUMOcache_3724,axiom,(+ s__subclass(s__NounPhrase,s__Entity) )).++fof(kb_SUMOcache_3725,axiom,(+ s__subclass(s__EmotionalState,s__BiologicalAttribute) )).++fof(kb_SUMOcache_3726,axiom,(+ s__subclass(s__EmotionalState,s__PsychologicalAttribute) )).++fof(kb_SUMOcache_3727,axiom,(+ s__instance(s__EmotionalState__t,s__SetOrClass) )).++fof(kb_SUMOcache_3728,axiom,(+ s__instance(s__PsychologicalAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_3729,axiom,(+ s__subclass(s__EmotionalState,s__Attribute) )).++fof(kb_SUMOcache_3730,axiom,(+ s__subclass(s__EmotionalState,s__InternalAttribute) )).++fof(kb_SUMOcache_3731,axiom,(+ s__subclass(s__EmotionalState,s__Abstract) )).++fof(kb_SUMOcache_3732,axiom,(+ s__subclass(s__EmotionalState,s__Entity) )).++fof(kb_SUMOcache_3733,axiom,(+ s__subclass(s__PrimaryColor,s__VisualAttribute) )).++fof(kb_SUMOcache_3734,axiom,(+ s__subclass(s__PrimaryColor,s__Attribute) )).++fof(kb_SUMOcache_3735,axiom,(+ s__subclass(s__PrimaryColor,s__PerceptualAttribute) )).++fof(kb_SUMOcache_3736,axiom,(+ s__instance(s__PrimaryColor__t,s__SetOrClass) )).++fof(kb_SUMOcache_3737,axiom,(+ s__subclass(s__PrimaryColor,s__Abstract) )).++fof(kb_SUMOcache_3738,axiom,(+ s__subclass(s__PrimaryColor,s__Entity) )).++fof(kb_SUMOcache_3739,axiom,(+ s__subclass(s__ProbabilityAttribute,s__Attribute) )).++fof(kb_SUMOcache_3740,axiom,(+ s__subclass(s__ProbabilityAttribute,s__NormativeAttribute) )).++fof(kb_SUMOcache_3741,axiom,(+ s__instance(s__ProbabilityAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_3742,axiom,(+ s__subclass(s__ProbabilityAttribute,s__RelationalAttribute) )).++fof(kb_SUMOcache_3743,axiom,(+ s__subclass(s__ProbabilityAttribute,s__Abstract) )).++fof(kb_SUMOcache_3744,axiom,(+ s__subclass(s__ProbabilityAttribute,s__Entity) )).++fof(kb_SUMOcache_3745,axiom,(+ s__subclass(s__LegalDecision,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3746,axiom,(+ s__subclass(s__LegalDecision,s__SocialInteraction) )).++fof(kb_SUMOcache_3747,axiom,(+ s__subclass(s__LegalDecision,s__Communication) )).++fof(kb_SUMOcache_3748,axiom,(+ s__subclass(s__LegalDecision,s__OrganizationalProcess) )).++fof(kb_SUMOcache_3749,axiom,(+ s__subclass(s__LegalDecision,s__Physical) )).++fof(kb_SUMOcache_3750,axiom,(+ s__subclass(s__LegalDecision,s__Process) )).++fof(kb_SUMOcache_3751,axiom,(+ s__subclass(s__LegalDecision,s__PoliticalProcess) )).++fof(kb_SUMOcache_3752,axiom,(+ s__subclass(s__LegalDecision,s__IntentionalProcess) )).++fof(kb_SUMOcache_3753,axiom,(+ s__instance(s__LegalDecision__t,s__SetOrClass) )).++fof(kb_SUMOcache_3754,axiom,(+ s__subclass(s__LegalDecision,s__LinguisticCommunication) )).++fof(kb_SUMOcache_3755,axiom,(+ s__subclass(s__LegalDecision,s__ContentBearingProcess) )).++fof(kb_SUMOcache_3756,axiom,(+ s__subclass(s__LegalDecision,s__Entity) )).++fof(kb_SUMOcache_3757,axiom,(+ s__subclass(s__ReligiousOrganization,s__Physical) )).++fof(kb_SUMOcache_3758,axiom,(+ s__subclass(s__ReligiousOrganization,s__Collection) )).++fof(kb_SUMOcache_3759,axiom,(+ s__subclass(s__ReligiousOrganization,s__Agent) )).++fof(kb_SUMOcache_3760,axiom,(+ s__subclass(s__ReligiousOrganization,s__GroupOfPeople) )).++fof(kb_SUMOcache_3761,axiom,(+ s__subclass(s__ReligiousOrganization,s__Object) )).++fof(kb_SUMOcache_3762,axiom,(+ s__subclass(s__ReligiousOrganization,s__Group) )).++fof(kb_SUMOcache_3763,axiom,(+ s__instance(s__ReligiousOrganization__t,s__SetOrClass) )).++fof(kb_SUMOcache_3764,axiom,(+ s__subclass(s__ReligiousOrganization,s__Entity) )).++fof(kb_SUMOcache_3765,axiom,(+ s__subclass(s__PositionalAttribute,s__Attribute) )).++fof(kb_SUMOcache_3766,axiom,(+ s__subclass(s__PositionalAttribute,s__Abstract) )).++fof(kb_SUMOcache_3767,axiom,(+ s__subclass(s__PositionalAttribute,s__Entity) )).++fof(kb_SUMOcache_3768,axiom,(+ s__subclass(s__Month,s__Quantity) )).++fof(kb_SUMOcache_3769,axiom,(+ s__subclass(s__Month,s__ConstantQuantity) )).++fof(kb_SUMOcache_3770,axiom,(+ s__instance(s__Month__t,s__SetOrClass) )).++fof(kb_SUMOcache_3771,axiom,(+ s__subclass(s__Month,s__TimeMeasure) )).++fof(kb_SUMOcache_3772,axiom,(+ s__subclass(s__Month,s__TimePosition) )).++fof(kb_SUMOcache_3773,axiom,(+ s__subclass(s__Month,s__Abstract) )).++fof(kb_SUMOcache_3774,axiom,(+ s__subclass(s__Month,s__Entity) )).++fof(kb_SUMOcache_3775,axiom,(+ s__subclass(s__Month,s__PhysicalQuantity) )).++fof(kb_SUMOcache_3776,axiom,(+ s__subclass(s__Smelling,s__Physical) )).++fof(kb_SUMOcache_3777,axiom,(+ s__instance(s__Smelling__t,s__SetOrClass) )).++fof(kb_SUMOcache_3778,axiom,(+ s__subclass(s__Smelling,s__Process) )).++fof(kb_SUMOcache_3779,axiom,(+ s__subclass(s__Smelling,s__PsychologicalProcess) )).++fof(kb_SUMOcache_3780,axiom,(+ s__subclass(s__Smelling,s__InternalChange) )).++fof(kb_SUMOcache_3781,axiom,(+ s__subclass(s__Smelling,s__BiologicalProcess) )).++fof(kb_SUMOcache_3782,axiom,(+ s__subclass(s__Smelling,s__Entity) )).++fof(kb_SUMOcache_3783,axiom,(+ s__subclass(s__VerbPhrase,s__Physical) )).++fof(kb_SUMOcache_3784,axiom,(+ s__subclass(s__VerbPhrase,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3785,axiom,(+ s__subclass(s__VerbPhrase,s__LinguisticExpression) )).++fof(kb_SUMOcache_3786,axiom,(+ s__subclass(s__VerbPhrase,s__Entity) )).++fof(kb_SUMOcache_3787,axiom,(+ s__instance(s__VerbPhrase__t,s__SetOrClass) )).++fof(kb_SUMOcache_3788,axiom,(+ s__subclass(s__TimeDuration,s__Quantity) )).++fof(kb_SUMOcache_3789,axiom,(+ s__subclass(s__TimeDuration,s__ConstantQuantity) )).++fof(kb_SUMOcache_3790,axiom,(+ s__instance(s__TimeDuration__t,s__SetOrClass) )).++fof(kb_SUMOcache_3791,axiom,(+ s__subclass(s__TimeDuration,s__Entity) )).++fof(kb_SUMOcache_3792,axiom,(+ s__subclass(s__TimeDuration,s__PhysicalQuantity) )).++fof(kb_SUMOcache_3793,axiom,(+ s__subclass(s__TimeDuration,s__Abstract) )).++fof(kb_SUMOcache_3794,axiom,(+ s__subclass(s__LeavingAnOrganization,s__Physical) )).++fof(kb_SUMOcache_3795,axiom,(+ s__subclass(s__LeavingAnOrganization,s__Process) )).++fof(kb_SUMOcache_3796,axiom,(+ s__subclass(s__LeavingAnOrganization,s__IntentionalProcess) )).++fof(kb_SUMOcache_3797,axiom,(+ s__instance(s__LeavingAnOrganization__t,s__SetOrClass) )).++fof(kb_SUMOcache_3798,axiom,(+ s__subclass(s__LeavingAnOrganization,s__Entity) )).++fof(kb_SUMOcache_3799,axiom,(+ s__subclass(s__RadiatingNuclear,s__Physical) )).++fof(kb_SUMOcache_3800,axiom,(+ s__instance(s__RadiatingNuclear__t,s__SetOrClass) )).++fof(kb_SUMOcache_3801,axiom,(+ s__subclass(s__RadiatingNuclear,s__Motion) )).++fof(kb_SUMOcache_3802,axiom,(+ s__subclass(s__RadiatingNuclear,s__Process) )).++fof(kb_SUMOcache_3803,axiom,(+ s__subclass(s__RadiatingNuclear,s__Entity) )).++fof(kb_SUMOcache_3804,axiom,(+ s__subclass(s__IrreflexiveRelation,s__Relation) )).++fof(kb_SUMOcache_3805,axiom,(+ s__subclass(s__IrreflexiveRelation,s__InheritableRelation) )).++fof(kb_SUMOcache_3806,axiom,(+ s__subclass(s__IrreflexiveRelation,s__Abstract) )).++fof(kb_SUMOcache_3807,axiom,(+ s__subclass(s__IrreflexiveRelation,s__Entity) )).++fof(kb_SUMOcache_3808,axiom,(+ s__subclass(s__CommutativeFunction,s__Relation) )).++fof(kb_SUMOcache_3809,axiom,(+ s__subclass(s__CommutativeFunction,s__InheritableRelation) )).++fof(kb_SUMOcache_3810,axiom,(+ s__subclass(s__CommutativeFunction,s__TernaryRelation) )).++fof(kb_SUMOcache_3811,axiom,(+ s__subclass(s__CommutativeFunction,s__Function) )).++fof(kb_SUMOcache_3812,axiom,(+ s__instance(s__CommutativeFunction__t,s__SetOrClass) )).++fof(kb_SUMOcache_3813,axiom,(+ s__subclass(s__CommutativeFunction,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3814,axiom,(+ s__subclass(s__CommutativeFunction,s__Entity) )).++fof(kb_SUMOcache_3815,axiom,(+ s__subclass(s__CommutativeFunction,s__Abstract) )).++fof(kb_SUMOcache_3816,axiom,(+ s__subclass(s__AssociativeFunction,s__Relation) )).++fof(kb_SUMOcache_3817,axiom,(+ s__subclass(s__AssociativeFunction,s__InheritableRelation) )).++fof(kb_SUMOcache_3818,axiom,(+ s__subclass(s__AssociativeFunction,s__TernaryRelation) )).++fof(kb_SUMOcache_3819,axiom,(+ s__subclass(s__AssociativeFunction,s__Function) )).++fof(kb_SUMOcache_3820,axiom,(+ s__subclass(s__AssociativeFunction,s__SingleValuedRelation) )).++fof(kb_SUMOcache_3821,axiom,(+ s__subclass(s__AssociativeFunction,s__Entity) )).++fof(kb_SUMOcache_3822,axiom,(+ s__instance(s__AssociativeFunction__t,s__SetOrClass) )).++fof(kb_SUMOcache_3823,axiom,(+ s__subclass(s__AssociativeFunction,s__Abstract) )).++fof(kb_SUMOcache_3824,axiom,(+ s__subclass(s__Gland,s__Physical) )).++fof(kb_SUMOcache_3825,axiom,(+ s__subclass(s__Gland,s__AnatomicalStructure) )).++fof(kb_SUMOcache_3826,axiom,(+ s__subclass(s__Gland,s__OrganicObject) )).++fof(kb_SUMOcache_3827,axiom,(+ s__subclass(s__Gland,s__BodyPart) )).++fof(kb_SUMOcache_3828,axiom,(+ s__subclass(s__Gland,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3829,axiom,(+ s__subclass(s__Gland,s__OrganicThing) )).++fof(kb_SUMOcache_3830,axiom,(+ s__subclass(s__Gland,s__CorpuscularObject) )).++fof(kb_SUMOcache_3831,axiom,(+ s__instance(s__Gland__t,s__SetOrClass) )).++fof(kb_SUMOcache_3832,axiom,(+ s__subclass(s__Gland,s__Object) )).++fof(kb_SUMOcache_3833,axiom,(+ s__subclass(s__Gland,s__Entity) )).++fof(kb_SUMOcache_3834,axiom,(+ s__subclass(s__Wednesday,s__ConstantQuantity) )).++fof(kb_SUMOcache_3835,axiom,(+ s__instance(s__Wednesday__t,s__SetOrClass) )).++fof(kb_SUMOcache_3836,axiom,(+ s__subclass(s__Wednesday,s__Quantity) )).++fof(kb_SUMOcache_3837,axiom,(+ s__subclass(s__Wednesday,s__TimeMeasure) )).++fof(kb_SUMOcache_3838,axiom,(+ s__subclass(s__Wednesday,s__TimePosition) )).++fof(kb_SUMOcache_3839,axiom,(+ s__subclass(s__Wednesday,s__TimeInterval) )).++fof(kb_SUMOcache_3840,axiom,(+ s__subclass(s__Wednesday,s__Entity) )).++fof(kb_SUMOcache_3841,axiom,(+ s__subclass(s__Wednesday,s__PhysicalQuantity) )).++fof(kb_SUMOcache_3842,axiom,(+ s__subclass(s__Wednesday,s__Abstract) )).++fof(kb_SUMOcache_3843,axiom,(+ s__subclass(s__IrrationalNumber,s__Quantity) )).++fof(kb_SUMOcache_3844,axiom,(+ s__subclass(s__IrrationalNumber,s__Number) )).++fof(kb_SUMOcache_3845,axiom,(+ s__instance(s__IrrationalNumber__t,s__SetOrClass) )).++fof(kb_SUMOcache_3846,axiom,(+ s__subclass(s__IrrationalNumber,s__Entity) )).++fof(kb_SUMOcache_3847,axiom,(+ s__subclass(s__IrrationalNumber,s__Abstract) )).++fof(kb_SUMOcache_3848,axiom,(+ s__subclass(s__MercantileOrganization,s__Physical) )).++fof(kb_SUMOcache_3849,axiom,(+ s__subclass(s__MercantileOrganization,s__Collection) )).++fof(kb_SUMOcache_3850,axiom,(+ s__subclass(s__MercantileOrganization,s__Business) )).++fof(kb_SUMOcache_3851,axiom,(+ s__subclass(s__MercantileOrganization,s__Agent) )).++fof(kb_SUMOcache_3852,axiom,(+ s__subclass(s__MercantileOrganization,s__Organization) )).++fof(kb_SUMOcache_3853,axiom,(+ s__subclass(s__MercantileOrganization,s__CommercialAgent) )).++fof(kb_SUMOcache_3854,axiom,(+ s__instance(s__MercantileOrganization__t,s__SetOrClass) )).++fof(kb_SUMOcache_3855,axiom,(+ s__subclass(s__MercantileOrganization,s__Object) )).++fof(kb_SUMOcache_3856,axiom,(+ s__subclass(s__MercantileOrganization,s__Group) )).++fof(kb_SUMOcache_3857,axiom,(+ s__subclass(s__MercantileOrganization,s__LegalAgent) )).++fof(kb_SUMOcache_3858,axiom,(+ s__subclass(s__MercantileOrganization,s__Entity) )).++fof(kb_SUMOcache_3859,axiom,(+ s__subclass(s__PhysicalAttribute,s__Attribute) )).++fof(kb_SUMOcache_3860,axiom,(+ s__instance(s__PhysicalAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_3861,axiom,(+ s__subclass(s__PhysicalAttribute,s__Abstract) )).++fof(kb_SUMOcache_3862,axiom,(+ s__subclass(s__PhysicalAttribute,s__Entity) )).++fof(kb_SUMOcache_3863,axiom,(+ s__subclass(s__Circle,s__TwoDimensionalFigure) )).++fof(kb_SUMOcache_3864,axiom,(+ s__instance(s__Circle__t,s__SetOrClass) )).++fof(kb_SUMOcache_3865,axiom,(+ s__instance(s__TwoDimensionalFigure__t,s__SetOrClass) )).++fof(kb_SUMOcache_3866,axiom,(+ s__subclass(s__Circle,s__StructureAttribute) )).++fof(kb_SUMOcache_3867,axiom,(+ s__subclass(s__Circle,s__GeometricFigure) )).++fof(kb_SUMOcache_3868,axiom,(+ s__subclass(s__Circle,s__ClosedTwoDimensionalFigure) )).++fof(kb_SUMOcache_3869,axiom,(+ s__subclass(s__Circle,s__ShapeAttribute) )).++fof(kb_SUMOcache_3870,axiom,(+ s__subclass(s__Circle,s__Attribute) )).++fof(kb_SUMOcache_3871,axiom,(+ s__subclass(s__Circle,s__InternalAttribute) )).++fof(kb_SUMOcache_3872,axiom,(+ s__subclass(s__Circle,s__Entity) )).++fof(kb_SUMOcache_3873,axiom,(+ s__subclass(s__Circle,s__Abstract) )).++fof(kb_SUMOcache_3874,axiom,(+ s__subclass(s__SaltWaterArea,s__Physical) )).++fof(kb_SUMOcache_3875,axiom,(+ s__subclass(s__SaltWaterArea,s__Region) )).++fof(kb_SUMOcache_3876,axiom,(+ s__subclass(s__SaltWaterArea,s__GeographicArea) )).++fof(kb_SUMOcache_3877,axiom,(+ s__subclass(s__SaltWaterArea,s__Object) )).++fof(kb_SUMOcache_3878,axiom,(+ s__instance(s__SaltWaterArea__t,s__SetOrClass) )).++fof(kb_SUMOcache_3879,axiom,(+ s__subclass(s__SaltWaterArea,s__Entity) )).++fof(kb_SUMOcache_3880,axiom,(+ s__subclass(s__CognitiveAgent,s__Physical) )).++fof(kb_SUMOcache_3881,axiom,(+ s__subclass(s__CognitiveAgent,s__Agent) )).++fof(kb_SUMOcache_3882,axiom,(+ s__instance(s__CognitiveAgent__t,s__SetOrClass) )).++fof(kb_SUMOcache_3883,axiom,(+ s__subclass(s__CognitiveAgent,s__Object) )).++fof(kb_SUMOcache_3884,axiom,(+ s__subclass(s__CognitiveAgent,s__Entity) )).++fof(kb_SUMOcache_3885,axiom,(+ s__subclass(s__MusicalInstrument,s__Physical) )).++fof(kb_SUMOcache_3886,axiom,(+ s__subclass(s__MusicalInstrument,s__Artifact) )).++fof(kb_SUMOcache_3887,axiom,(+ s__subclass(s__MusicalInstrument,s__Object) )).++fof(kb_SUMOcache_3888,axiom,(+ s__instance(s__MusicalInstrument__t,s__SetOrClass) )).++fof(kb_SUMOcache_3889,axiom,(+ s__subclass(s__MusicalInstrument,s__Entity) )).++fof(kb_SUMOcache_3890,axiom,(+ s__subclass(s__Canine,s__OrganicObject) )).++fof(kb_SUMOcache_3891,axiom,(+ s__subclass(s__Canine,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_3892,axiom,(+ s__subclass(s__Canine,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3893,axiom,(+ s__subclass(s__Canine,s__Agent) )).++fof(kb_SUMOcache_3894,axiom,(+ s__subclass(s__Canine,s__Animal) )).++fof(kb_SUMOcache_3895,axiom,(+ s__subclass(s__Canine,s__Physical) )).++fof(kb_SUMOcache_3896,axiom,(+ s__subclass(s__Canine,s__Vertebrate) )).++fof(kb_SUMOcache_3897,axiom,(+ s__subclass(s__Canine,s__Mammal) )).++fof(kb_SUMOcache_3898,axiom,(+ s__subclass(s__Canine,s__OrganicThing) )).++fof(kb_SUMOcache_3899,axiom,(+ s__subclass(s__Canine,s__Organism) )).++fof(kb_SUMOcache_3900,axiom,(+ s__subclass(s__Canine,s__CorpuscularObject) )).++fof(kb_SUMOcache_3901,axiom,(+ s__subclass(s__Canine,s__Object) )).++fof(kb_SUMOcache_3902,axiom,(+ s__instance(s__Canine__t,s__SetOrClass) )).++fof(kb_SUMOcache_3903,axiom,(+ s__subclass(s__Canine,s__Entity) )).++fof(kb_SUMOcache_3904,axiom,(+ s__subclass(s__TraitAttribute,s__BiologicalAttribute) )).++fof(kb_SUMOcache_3905,axiom,(+ s__subclass(s__TraitAttribute,s__Attribute) )).++fof(kb_SUMOcache_3906,axiom,(+ s__subclass(s__TraitAttribute,s__InternalAttribute) )).++fof(kb_SUMOcache_3907,axiom,(+ s__subclass(s__TraitAttribute,s__Entity) )).++fof(kb_SUMOcache_3908,axiom,(+ s__subclass(s__TraitAttribute,s__Abstract) )).++fof(kb_SUMOcache_3909,axiom,(+ s__instance(s__TraitAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_3910,axiom,(+ s__subclass(s__BodySubstance,s__Physical) )).++fof(kb_SUMOcache_3911,axiom,(+ s__subclass(s__BodySubstance,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3912,axiom,(+ s__instance(s__BodySubstance__t,s__SetOrClass) )).++fof(kb_SUMOcache_3913,axiom,(+ s__subclass(s__BodySubstance,s__Object) )).++fof(kb_SUMOcache_3914,axiom,(+ s__subclass(s__BodySubstance,s__Entity) )).++fof(kb_SUMOcache_3915,axiom,(+ s__subclass(s__Cloud,s__Physical) )).++fof(kb_SUMOcache_3916,axiom,(+ s__instance(s__Cloud__t,s__SetOrClass) )).++fof(kb_SUMOcache_3917,axiom,(+ s__subclass(s__Cloud,s__Mixture) )).++fof(kb_SUMOcache_3918,axiom,(+ s__instance(s__Mixture__t,s__SetOrClass) )).++fof(kb_SUMOcache_3919,axiom,(+ s__subclass(s__Cloud,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3920,axiom,(+ s__subclass(s__Cloud,s__Substance) )).++fof(kb_SUMOcache_3921,axiom,(+ s__subclass(s__Cloud,s__Object) )).++fof(kb_SUMOcache_3922,axiom,(+ s__subclass(s__Cloud,s__Entity) )).++fof(kb_SUMOcache_3923,axiom,(+ s__subclass(s__Agent,s__Physical) )).++fof(kb_SUMOcache_3924,axiom,(+ s__subclass(s__Agent,s__Entity) )).++fof(kb_SUMOcache_3925,axiom,(+ s__subclass(s__Gesture,s__Physical) )).++fof(kb_SUMOcache_3926,axiom,(+ s__subclass(s__Gesture,s__Motion) )).++fof(kb_SUMOcache_3927,axiom,(+ s__subclass(s__Gesture,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3928,axiom,(+ s__subclass(s__Gesture,s__SocialInteraction) )).++fof(kb_SUMOcache_3929,axiom,(+ s__subclass(s__Gesture,s__Process) )).++fof(kb_SUMOcache_3930,axiom,(+ s__subclass(s__Gesture,s__IntentionalProcess) )).++fof(kb_SUMOcache_3931,axiom,(+ s__instance(s__Gesture__t,s__SetOrClass) )).++fof(kb_SUMOcache_3932,axiom,(+ s__subclass(s__Gesture,s__ContentBearingProcess) )).++fof(kb_SUMOcache_3933,axiom,(+ s__subclass(s__Gesture,s__Entity) )).++fof(kb_SUMOcache_3934,axiom,(+ s__subclass(s__Falling,s__Physical) )).++fof(kb_SUMOcache_3935,axiom,(+ s__subclass(s__Falling,s__Motion) )).++fof(kb_SUMOcache_3936,axiom,(+ s__instance(s__Falling__t,s__SetOrClass) )).++fof(kb_SUMOcache_3937,axiom,(+ s__subclass(s__Falling,s__Process) )).++fof(kb_SUMOcache_3938,axiom,(+ s__subclass(s__Falling,s__Entity) )).++fof(kb_SUMOcache_3939,axiom,(+ s__subclass(s__TotalOrderingRelation,s__Relation) )).++fof(kb_SUMOcache_3940,axiom,(+ s__subclass(s__TotalOrderingRelation,s__InheritableRelation) )).++fof(kb_SUMOcache_3941,axiom,(+ s__subclass(s__TotalOrderingRelation,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_3942,axiom,(+ s__subclass(s__TotalOrderingRelation,s__ReflexiveRelation) )).++fof(kb_SUMOcache_3943,axiom,(+ s__subclass(s__TotalOrderingRelation,s__BinaryRelation) )).++fof(kb_SUMOcache_3944,axiom,(+ s__subclass(s__TotalOrderingRelation,s__Entity) )).++fof(kb_SUMOcache_3945,axiom,(+ s__instance(s__TotalOrderingRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_3946,axiom,(+ s__subclass(s__TotalOrderingRelation,s__Abstract) )).++fof(kb_SUMOcache_3947,axiom,(+ s__subclass(s__TotalOrderingRelation,s__TransitiveRelation) )).++fof(kb_SUMOcache_3948,axiom,(+ s__subclass(s__Arthropod,s__Physical) )).++fof(kb_SUMOcache_3949,axiom,(+ s__subclass(s__Arthropod,s__OrganicObject) )).++fof(kb_SUMOcache_3950,axiom,(+ s__subclass(s__Arthropod,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3951,axiom,(+ s__subclass(s__Arthropod,s__Agent) )).++fof(kb_SUMOcache_3952,axiom,(+ s__subclass(s__Arthropod,s__Animal) )).++fof(kb_SUMOcache_3953,axiom,(+ s__subclass(s__Arthropod,s__OrganicThing) )).++fof(kb_SUMOcache_3954,axiom,(+ s__subclass(s__Arthropod,s__Organism) )).++fof(kb_SUMOcache_3955,axiom,(+ s__subclass(s__Arthropod,s__CorpuscularObject) )).++fof(kb_SUMOcache_3956,axiom,(+ s__subclass(s__Arthropod,s__Object) )).++fof(kb_SUMOcache_3957,axiom,(+ s__subclass(s__Arthropod,s__Entity) )).++fof(kb_SUMOcache_3958,axiom,(+ s__instance(s__Arthropod__t,s__SetOrClass) )).++fof(kb_SUMOcache_3959,axiom,(+ s__subclass(s__DefensiveManeuver,s__Physical) )).++fof(kb_SUMOcache_3960,axiom,(+ s__instance(s__DefensiveManeuver__t,s__SetOrClass) )).++fof(kb_SUMOcache_3961,axiom,(+ s__subclass(s__DefensiveManeuver,s__Process) )).++fof(kb_SUMOcache_3962,axiom,(+ s__subclass(s__DefensiveManeuver,s__IntentionalProcess) )).++fof(kb_SUMOcache_3963,axiom,(+ s__subclass(s__DefensiveManeuver,s__Entity) )).++fof(kb_SUMOcache_3964,axiom,(+ s__subclass(s__FamilyGroup,s__Physical) )).++fof(kb_SUMOcache_3965,axiom,(+ s__instance(s__FamilyGroup__t,s__SetOrClass) )).++fof(kb_SUMOcache_3966,axiom,(+ s__subclass(s__FamilyGroup,s__Collection) )).++fof(kb_SUMOcache_3967,axiom,(+ s__subclass(s__FamilyGroup,s__Agent) )).++fof(kb_SUMOcache_3968,axiom,(+ s__subclass(s__FamilyGroup,s__Object) )).++fof(kb_SUMOcache_3969,axiom,(+ s__subclass(s__FamilyGroup,s__Group) )).++fof(kb_SUMOcache_3970,axiom,(+ s__subclass(s__FamilyGroup,s__Entity) )).++fof(kb_SUMOcache_3971,axiom,(+ s__subclass(s__BodyPosition,s__Attribute) )).++fof(kb_SUMOcache_3972,axiom,(+ s__instance(s__BodyPosition__t,s__SetOrClass) )).++fof(kb_SUMOcache_3973,axiom,(+ s__subclass(s__BodyPosition,s__InternalAttribute) )).++fof(kb_SUMOcache_3974,axiom,(+ s__subclass(s__BodyPosition,s__Entity) )).++fof(kb_SUMOcache_3975,axiom,(+ s__subclass(s__BodyPosition,s__Abstract) )).++fof(kb_SUMOcache_3976,axiom,(+ s__subclass(s__Selling,s__Physical) )).++fof(kb_SUMOcache_3977,axiom,(+ s__subclass(s__Selling,s__Transaction) )).++fof(kb_SUMOcache_3978,axiom,(+ s__subclass(s__Selling,s__DualObjectProcess) )).++fof(kb_SUMOcache_3979,axiom,(+ s__instance(s__Selling__t,s__SetOrClass) )).++fof(kb_SUMOcache_3980,axiom,(+ s__subclass(s__Selling,s__SocialInteraction) )).++fof(kb_SUMOcache_3981,axiom,(+ s__subclass(s__Selling,s__Process) )).++fof(kb_SUMOcache_3982,axiom,(+ s__subclass(s__Selling,s__ChangeOfPossession) )).++fof(kb_SUMOcache_3983,axiom,(+ s__subclass(s__Selling,s__IntentionalProcess) )).++fof(kb_SUMOcache_3984,axiom,(+ s__subclass(s__Selling,s__Entity) )).++fof(kb_SUMOcache_3985,axiom,(+ s__subclass(s__TimeDependentQuantity,s__Quantity) )).++fof(kb_SUMOcache_3986,axiom,(+ s__instance(s__TimeDependentQuantity__t,s__SetOrClass) )).++fof(kb_SUMOcache_3987,axiom,(+ s__subclass(s__TimeDependentQuantity,s__FunctionQuantity) )).++fof(kb_SUMOcache_3988,axiom,(+ s__subclass(s__TimeDependentQuantity,s__Entity) )).++fof(kb_SUMOcache_3989,axiom,(+ s__subclass(s__TimeDependentQuantity,s__Abstract) )).++fof(kb_SUMOcache_3990,axiom,(+ s__subclass(s__TimeDependentQuantity,s__PhysicalQuantity) )).++fof(kb_SUMOcache_3991,axiom,(+ s__subclass(s__Summary,s__Physical) )).++fof(kb_SUMOcache_3992,axiom,(+ s__subclass(s__Summary,s__Artifact) )).++fof(kb_SUMOcache_3993,axiom,(+ s__subclass(s__Summary,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_3994,axiom,(+ s__instance(s__Summary__t,s__SetOrClass) )).++fof(kb_SUMOcache_3995,axiom,(+ s__subclass(s__Summary,s__ContentBearingObject) )).++fof(kb_SUMOcache_3996,axiom,(+ s__subclass(s__Summary,s__LinguisticExpression) )).++fof(kb_SUMOcache_3997,axiom,(+ s__subclass(s__Summary,s__SelfConnectedObject) )).++fof(kb_SUMOcache_3998,axiom,(+ s__subclass(s__Summary,s__Object) )).++fof(kb_SUMOcache_3999,axiom,(+ s__subclass(s__Summary,s__CorpuscularObject) )).++fof(kb_SUMOcache_4000,axiom,(+ s__subclass(s__Summary,s__Entity) )).++fof(kb_SUMOcache_4001,axiom,(+ s__subclass(s__Artifact,s__Physical) )).++fof(kb_SUMOcache_4002,axiom,(+ s__subclass(s__Artifact,s__Entity) )).++fof(kb_SUMOcache_4003,axiom,(+ s__subclass(s__PhysiologicProcess,s__Physical) )).++fof(kb_SUMOcache_4004,axiom,(+ s__subclass(s__PhysiologicProcess,s__Process) )).++fof(kb_SUMOcache_4005,axiom,(+ s__subclass(s__PhysiologicProcess,s__InternalChange) )).++fof(kb_SUMOcache_4006,axiom,(+ s__subclass(s__PhysiologicProcess,s__Entity) )).++fof(kb_SUMOcache_4007,axiom,(+ s__instance(s__PhysiologicProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_4008,axiom,(+ s__subclass(s__ObjectiveNorm,s__Attribute) )).++fof(kb_SUMOcache_4009,axiom,(+ s__subclass(s__ObjectiveNorm,s__RelationalAttribute) )).++fof(kb_SUMOcache_4010,axiom,(+ s__subclass(s__ObjectiveNorm,s__Entity) )).++fof(kb_SUMOcache_4011,axiom,(+ s__subclass(s__ObjectiveNorm,s__Abstract) )).++fof(kb_SUMOcache_4012,axiom,(+ s__subclass(s__PlantSubstance,s__Physical) )).++fof(kb_SUMOcache_4013,axiom,(+ s__subclass(s__PlantSubstance,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4014,axiom,(+ s__subclass(s__PlantSubstance,s__Substance) )).++fof(kb_SUMOcache_4015,axiom,(+ s__subclass(s__PlantSubstance,s__Object) )).++fof(kb_SUMOcache_4016,axiom,(+ s__subclass(s__PlantSubstance,s__Entity) )).++fof(kb_SUMOcache_4017,axiom,(+ s__instance(s__PlantSubstance__t,s__SetOrClass) )).++fof(kb_SUMOcache_4018,axiom,(+ s__subclass(s__Predicate,s__Entity) )).++fof(kb_SUMOcache_4019,axiom,(+ s__subclass(s__Predicate,s__Abstract) )).++fof(kb_SUMOcache_4020,axiom,(+ s__subclass(s__OrganismProcess,s__Physical) )).++fof(kb_SUMOcache_4021,axiom,(+ s__subclass(s__OrganismProcess,s__Process) )).++fof(kb_SUMOcache_4022,axiom,(+ s__subclass(s__OrganismProcess,s__BiologicalProcess) )).++fof(kb_SUMOcache_4023,axiom,(+ s__subclass(s__OrganismProcess,s__InternalChange) )).++fof(kb_SUMOcache_4024,axiom,(+ s__subclass(s__OrganismProcess,s__Entity) )).++fof(kb_SUMOcache_4025,axiom,(+ s__subclass(s__Hole,s__Physical) )).++fof(kb_SUMOcache_4026,axiom,(+ s__subclass(s__Hole,s__Object) )).++fof(kb_SUMOcache_4027,axiom,(+ s__instance(s__Hole__t,s__SetOrClass) )).++fof(kb_SUMOcache_4028,axiom,(+ s__subclass(s__Hole,s__Entity) )).++fof(kb_SUMOcache_4029,axiom,(+ s__subclass(s__TransitiveRelation,s__Relation) )).++fof(kb_SUMOcache_4030,axiom,(+ s__subclass(s__TransitiveRelation,s__InheritableRelation) )).++fof(kb_SUMOcache_4031,axiom,(+ s__subclass(s__TransitiveRelation,s__Abstract) )).++fof(kb_SUMOcache_4032,axiom,(+ s__subclass(s__TransitiveRelation,s__Entity) )).++fof(kb_SUMOcache_4033,axiom,(+ s__subclass(s__Driving,s__Physical) )).++fof(kb_SUMOcache_4034,axiom,(+ s__subclass(s__Driving,s__Process) )).++fof(kb_SUMOcache_4035,axiom,(+ s__subclass(s__Driving,s__IntentionalProcess) )).++fof(kb_SUMOcache_4036,axiom,(+ s__instance(s__Driving__t,s__SetOrClass) )).++fof(kb_SUMOcache_4037,axiom,(+ s__subclass(s__Driving,s__Entity) )).++fof(kb_SUMOcache_4038,axiom,(+ s__subclass(s__Encoding,s__Physical) )).++fof(kb_SUMOcache_4039,axiom,(+ s__subclass(s__Encoding,s__Process) )).++fof(kb_SUMOcache_4040,axiom,(+ s__subclass(s__Encoding,s__ContentDevelopment) )).++fof(kb_SUMOcache_4041,axiom,(+ s__instance(s__Encoding__t,s__SetOrClass) )).++fof(kb_SUMOcache_4042,axiom,(+ s__instance(s__ContentDevelopment__t,s__SetOrClass) )).++fof(kb_SUMOcache_4043,axiom,(+ s__subclass(s__Encoding,s__IntentionalProcess) )).++fof(kb_SUMOcache_4044,axiom,(+ s__subclass(s__Encoding,s__Entity) )).++fof(kb_SUMOcache_4045,axiom,(+ s__subclass(s__VariableArityRelation,s__Entity) )).++fof(kb_SUMOcache_4046,axiom,(+ s__subclass(s__VariableArityRelation,s__Abstract) )).++fof(kb_SUMOcache_4047,axiom,(+ s__instance(s__VariableArityRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_4048,axiom,(+ s__subclass(s__InductiveArgument,s__Proposition) )).++fof(kb_SUMOcache_4049,axiom,(+ s__instance(s__InductiveArgument__t,s__SetOrClass) )).++fof(kb_SUMOcache_4050,axiom,(+ s__subclass(s__InductiveArgument,s__Abstract) )).++fof(kb_SUMOcache_4051,axiom,(+ s__subclass(s__InductiveArgument,s__Entity) )).++fof(kb_SUMOcache_4052,axiom,(+ s__subclass(s__ContentDevelopment,s__Physical) )).++fof(kb_SUMOcache_4053,axiom,(+ s__subclass(s__ContentDevelopment,s__Process) )).++fof(kb_SUMOcache_4054,axiom,(+ s__subclass(s__ContentDevelopment,s__Entity) )).++fof(kb_SUMOcache_4055,axiom,(+ s__subclass(s__GraphArc,s__Abstract) )).++fof(kb_SUMOcache_4056,axiom,(+ s__subclass(s__GraphArc,s__Entity) )).++fof(kb_SUMOcache_4057,axiom,(+ s__instance(s__GraphArc__t,s__SetOrClass) )).++fof(kb_SUMOcache_4058,axiom,(+ s__subclass(s__Tissue,s__Physical) )).++fof(kb_SUMOcache_4059,axiom,(+ s__subclass(s__Tissue,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4060,axiom,(+ s__subclass(s__Tissue,s__Substance) )).++fof(kb_SUMOcache_4061,axiom,(+ s__subclass(s__Tissue,s__Object) )).++fof(kb_SUMOcache_4062,axiom,(+ s__instance(s__Tissue__t,s__SetOrClass) )).++fof(kb_SUMOcache_4063,axiom,(+ s__subclass(s__Tissue,s__Entity) )).++fof(kb_SUMOcache_4064,axiom,(+ s__subclass(s__EngineeringConnection,s__Physical) )).++fof(kb_SUMOcache_4065,axiom,(+ s__subclass(s__EngineeringConnection,s__Artifact) )).++fof(kb_SUMOcache_4066,axiom,(+ s__instance(s__EngineeringConnection__t,s__SetOrClass) )).++fof(kb_SUMOcache_4067,axiom,(+ s__subclass(s__EngineeringConnection,s__Device) )).++fof(kb_SUMOcache_4068,axiom,(+ s__subclass(s__EngineeringConnection,s__Object) )).++fof(kb_SUMOcache_4069,axiom,(+ s__subclass(s__EngineeringConnection,s__Entity) )).++fof(kb_SUMOcache_4070,axiom,(+ s__subclass(s__NormativeAttribute,s__Attribute) )).++fof(kb_SUMOcache_4071,axiom,(+ s__subclass(s__NormativeAttribute,s__Abstract) )).++fof(kb_SUMOcache_4072,axiom,(+ s__subclass(s__NormativeAttribute,s__Entity) )).++fof(kb_SUMOcache_4073,axiom,(+ s__subclass(s__Procedure,s__Abstract) )).++fof(kb_SUMOcache_4074,axiom,(+ s__instance(s__Procedure__t,s__SetOrClass) )).++fof(kb_SUMOcache_4075,axiom,(+ s__subclass(s__Procedure,s__Entity) )).++fof(kb_SUMOcache_4076,axiom,(+ s__subclass(s__Verb,s__Physical) )).++fof(kb_SUMOcache_4077,axiom,(+ s__subclass(s__Verb,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_4078,axiom,(+ s__subclass(s__Verb,s__LinguisticExpression) )).++fof(kb_SUMOcache_4079,axiom,(+ s__subclass(s__Verb,s__Entity) )).++fof(kb_SUMOcache_4080,axiom,(+ s__instance(s__Verb__t,s__SetOrClass) )).++fof(kb_SUMOcache_4081,axiom,(+ s__subclass(s__Dancing,s__Physical) )).++fof(kb_SUMOcache_4082,axiom,(+ s__subclass(s__Dancing,s__Motion) )).++fof(kb_SUMOcache_4083,axiom,(+ s__instance(s__Dancing__t,s__SetOrClass) )).++fof(kb_SUMOcache_4084,axiom,(+ s__subclass(s__Dancing,s__Process) )).++fof(kb_SUMOcache_4085,axiom,(+ s__subclass(s__Dancing,s__Entity) )).++fof(kb_SUMOcache_4086,axiom,(+ s__subclass(s__VolumeMeasure,s__Quantity) )).++fof(kb_SUMOcache_4087,axiom,(+ s__subclass(s__VolumeMeasure,s__Entity) )).++fof(kb_SUMOcache_4088,axiom,(+ s__subclass(s__VolumeMeasure,s__Abstract) )).++fof(kb_SUMOcache_4089,axiom,(+ s__subclass(s__VolumeMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4090,axiom,(+ s__instance(s__VolumeMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_4091,axiom,(+ s__subclass(s__Region,s__Physical) )).++fof(kb_SUMOcache_4092,axiom,(+ s__subclass(s__Region,s__Entity) )).++fof(kb_SUMOcache_4093,axiom,(+ s__subclass(s__Saturday,s__ConstantQuantity) )).++fof(kb_SUMOcache_4094,axiom,(+ s__instance(s__Saturday__t,s__SetOrClass) )).++fof(kb_SUMOcache_4095,axiom,(+ s__subclass(s__Saturday,s__Quantity) )).++fof(kb_SUMOcache_4096,axiom,(+ s__subclass(s__Saturday,s__TimeMeasure) )).++fof(kb_SUMOcache_4097,axiom,(+ s__subclass(s__Saturday,s__TimePosition) )).++fof(kb_SUMOcache_4098,axiom,(+ s__subclass(s__Saturday,s__TimeInterval) )).++fof(kb_SUMOcache_4099,axiom,(+ s__subclass(s__Saturday,s__Entity) )).++fof(kb_SUMOcache_4100,axiom,(+ s__subclass(s__Saturday,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4101,axiom,(+ s__subclass(s__Saturday,s__Abstract) )).++fof(kb_SUMOcache_4102,axiom,(+ s__subclass(s__ChangeOfPossession,s__Physical) )).++fof(kb_SUMOcache_4103,axiom,(+ s__subclass(s__ChangeOfPossession,s__Process) )).++fof(kb_SUMOcache_4104,axiom,(+ s__subclass(s__ChangeOfPossession,s__IntentionalProcess) )).++fof(kb_SUMOcache_4105,axiom,(+ s__subclass(s__ChangeOfPossession,s__Entity) )).++fof(kb_SUMOcache_4106,axiom,(+ s__subclass(s__Explanation,s__Proposition) )).++fof(kb_SUMOcache_4107,axiom,(+ s__subclass(s__Explanation,s__Argument) )).++fof(kb_SUMOcache_4108,axiom,(+ s__instance(s__Explanation__t,s__SetOrClass) )).++fof(kb_SUMOcache_4109,axiom,(+ s__instance(s__Argument__t,s__SetOrClass) )).++fof(kb_SUMOcache_4110,axiom,(+ s__subclass(s__Explanation,s__Entity) )).++fof(kb_SUMOcache_4111,axiom,(+ s__subclass(s__Explanation,s__Abstract) )).++fof(kb_SUMOcache_4112,axiom,(+ s__subclass(s__PoliticalProcess,s__Physical) )).++fof(kb_SUMOcache_4113,axiom,(+ s__instance(s__PoliticalProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_4114,axiom,(+ s__subclass(s__PoliticalProcess,s__Process) )).++fof(kb_SUMOcache_4115,axiom,(+ s__subclass(s__PoliticalProcess,s__IntentionalProcess) )).++fof(kb_SUMOcache_4116,axiom,(+ s__subclass(s__PoliticalProcess,s__Entity) )).++fof(kb_SUMOcache_4117,axiom,(+ s__subclass(s__InternalAttribute,s__Entity) )).++fof(kb_SUMOcache_4118,axiom,(+ s__subclass(s__InternalAttribute,s__Abstract) )).++fof(kb_SUMOcache_4119,axiom,(+ s__subclass(s__List,s__Entity) )).++fof(kb_SUMOcache_4120,axiom,(+ s__instance(s__List__t,s__SetOrClass) )).++fof(kb_SUMOcache_4121,axiom,(+ s__subclass(s__List,s__Abstract) )).++fof(kb_SUMOcache_4122,axiom,(+ s__subclass(s__GraphLoop,s__GraphElement) )).++fof(kb_SUMOcache_4123,axiom,(+ s__subclass(s__GraphLoop,s__Entity) )).++fof(kb_SUMOcache_4124,axiom,(+ s__subclass(s__GraphLoop,s__Abstract) )).++fof(kb_SUMOcache_4125,axiom,(+ s__instance(s__GraphLoop__t,s__SetOrClass) )).++fof(kb_SUMOcache_4126,axiom,(+ s__subclass(s__GivingBack,s__Physical) )).++fof(kb_SUMOcache_4127,axiom,(+ s__subclass(s__GivingBack,s__SocialInteraction) )).++fof(kb_SUMOcache_4128,axiom,(+ s__subclass(s__GivingBack,s__Process) )).++fof(kb_SUMOcache_4129,axiom,(+ s__subclass(s__GivingBack,s__ChangeOfPossession) )).++fof(kb_SUMOcache_4130,axiom,(+ s__instance(s__GivingBack__t,s__SetOrClass) )).++fof(kb_SUMOcache_4131,axiom,(+ s__instance(s__ChangeOfPossession__t,s__SetOrClass) )).++fof(kb_SUMOcache_4132,axiom,(+ s__subclass(s__GivingBack,s__IntentionalProcess) )).++fof(kb_SUMOcache_4133,axiom,(+ s__subclass(s__GivingBack,s__Entity) )).++fof(kb_SUMOcache_4134,axiom,(+ s__subclass(s__Friday,s__ConstantQuantity) )).++fof(kb_SUMOcache_4135,axiom,(+ s__subclass(s__Friday,s__Quantity) )).++fof(kb_SUMOcache_4136,axiom,(+ s__subclass(s__Friday,s__TimeMeasure) )).++fof(kb_SUMOcache_4137,axiom,(+ s__subclass(s__Friday,s__TimePosition) )).++fof(kb_SUMOcache_4138,axiom,(+ s__subclass(s__Friday,s__TimeInterval) )).++fof(kb_SUMOcache_4139,axiom,(+ s__instance(s__Friday__t,s__SetOrClass) )).++fof(kb_SUMOcache_4140,axiom,(+ s__instance(s__TimeInterval__t,s__SetOrClass) )).++fof(kb_SUMOcache_4141,axiom,(+ s__subclass(s__Friday,s__Entity) )).++fof(kb_SUMOcache_4142,axiom,(+ s__subclass(s__Friday,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4143,axiom,(+ s__subclass(s__Friday,s__Abstract) )).++fof(kb_SUMOcache_4144,axiom,(+ s__subclass(s__AtomicNucleus,s__Physical) )).++fof(kb_SUMOcache_4145,axiom,(+ s__subclass(s__AtomicNucleus,s__ElementalSubstance) )).++fof(kb_SUMOcache_4146,axiom,(+ s__subclass(s__AtomicNucleus,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4147,axiom,(+ s__subclass(s__AtomicNucleus,s__Substance) )).++fof(kb_SUMOcache_4148,axiom,(+ s__subclass(s__AtomicNucleus,s__Object) )).++fof(kb_SUMOcache_4149,axiom,(+ s__subclass(s__AtomicNucleus,s__Entity) )).++fof(kb_SUMOcache_4150,axiom,(+ s__instance(s__AtomicNucleus__t,s__SetOrClass) )).++fof(kb_SUMOcache_4151,axiom,(+ s__subclass(s__AtomicNucleus,s__PureSubstance) )).++fof(kb_SUMOcache_4152,axiom,(+ s__subclass(s__Transaction,s__Physical) )).++fof(kb_SUMOcache_4153,axiom,(+ s__subclass(s__Transaction,s__SocialInteraction) )).++fof(kb_SUMOcache_4154,axiom,(+ s__subclass(s__Transaction,s__Process) )).++fof(kb_SUMOcache_4155,axiom,(+ s__subclass(s__Transaction,s__IntentionalProcess) )).++fof(kb_SUMOcache_4156,axiom,(+ s__subclass(s__Transaction,s__Entity) )).++fof(kb_SUMOcache_4157,axiom,(+ s__instance(s__Transaction__t,s__SetOrClass) )).++fof(kb_SUMOcache_4158,axiom,(+ s__subclass(s__Creation,s__Physical) )).++fof(kb_SUMOcache_4159,axiom,(+ s__subclass(s__Creation,s__Process) )).++fof(kb_SUMOcache_4160,axiom,(+ s__instance(s__Creation__t,s__SetOrClass) )).++fof(kb_SUMOcache_4161,axiom,(+ s__subclass(s__Creation,s__Entity) )).++fof(kb_SUMOcache_4162,axiom,(+ s__subclass(s__Designing,s__Physical) )).++fof(kb_SUMOcache_4163,axiom,(+ s__subclass(s__Designing,s__Process) )).++fof(kb_SUMOcache_4164,axiom,(+ s__subclass(s__Designing,s__PsychologicalProcess) )).++fof(kb_SUMOcache_4165,axiom,(+ s__subclass(s__Designing,s__InternalChange) )).++fof(kb_SUMOcache_4166,axiom,(+ s__subclass(s__Designing,s__BiologicalProcess) )).++fof(kb_SUMOcache_4167,axiom,(+ s__instance(s__Designing__t,s__SetOrClass) )).++fof(kb_SUMOcache_4168,axiom,(+ s__subclass(s__Designing,s__IntentionalProcess) )).++fof(kb_SUMOcache_4169,axiom,(+ s__subclass(s__Designing,s__Entity) )).++fof(kb_SUMOcache_4170,axiom,(+ s__subclass(s__StructureAttribute,s__Attribute) )).++fof(kb_SUMOcache_4171,axiom,(+ s__subclass(s__StructureAttribute,s__Entity) )).++fof(kb_SUMOcache_4172,axiom,(+ s__subclass(s__StructureAttribute,s__Abstract) )).++fof(kb_SUMOcache_4173,axiom,(+ s__instance(s__StructureAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_4174,axiom,(+ s__subclass(s__Guiding,s__Physical) )).++fof(kb_SUMOcache_4175,axiom,(+ s__instance(s__Guiding__t,s__SetOrClass) )).++fof(kb_SUMOcache_4176,axiom,(+ s__subclass(s__Guiding,s__Process) )).++fof(kb_SUMOcache_4177,axiom,(+ s__subclass(s__Guiding,s__Entity) )).++fof(kb_SUMOcache_4178,axiom,(+ s__subclass(s__TimeMeasure,s__Quantity) )).++fof(kb_SUMOcache_4179,axiom,(+ s__subclass(s__TimeMeasure,s__Entity) )).++fof(kb_SUMOcache_4180,axiom,(+ s__subclass(s__TimeMeasure,s__Abstract) )).++fof(kb_SUMOcache_4181,axiom,(+ s__subclass(s__TimeMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4182,axiom,(+ s__subclass(s__MotionDownward,s__Physical) )).++fof(kb_SUMOcache_4183,axiom,(+ s__subclass(s__MotionDownward,s__Process) )).++fof(kb_SUMOcache_4184,axiom,(+ s__subclass(s__MotionDownward,s__Entity) )).++fof(kb_SUMOcache_4185,axiom,(+ s__subclass(s__FreshWaterArea,s__Physical) )).++fof(kb_SUMOcache_4186,axiom,(+ s__subclass(s__FreshWaterArea,s__Region) )).++fof(kb_SUMOcache_4187,axiom,(+ s__subclass(s__FreshWaterArea,s__GeographicArea) )).++fof(kb_SUMOcache_4188,axiom,(+ s__instance(s__FreshWaterArea__t,s__SetOrClass) )).++fof(kb_SUMOcache_4189,axiom,(+ s__subclass(s__FreshWaterArea,s__Object) )).++fof(kb_SUMOcache_4190,axiom,(+ s__subclass(s__FreshWaterArea,s__Entity) )).++fof(kb_SUMOcache_4191,axiom,(+ s__subclass(s__Injuring,s__Physical) )).++fof(kb_SUMOcache_4192,axiom,(+ s__subclass(s__Injuring,s__Process) )).++fof(kb_SUMOcache_4193,axiom,(+ s__subclass(s__Injuring,s__BiologicalProcess) )).++fof(kb_SUMOcache_4194,axiom,(+ s__subclass(s__Injuring,s__InternalChange) )).++fof(kb_SUMOcache_4195,axiom,(+ s__instance(s__Injuring__t,s__SetOrClass) )).++fof(kb_SUMOcache_4196,axiom,(+ s__subclass(s__Injuring,s__Entity) )).++fof(kb_SUMOcache_4197,axiom,(+ s__subclass(s__Ungrasping,s__Physical) )).++fof(kb_SUMOcache_4198,axiom,(+ s__subclass(s__Ungrasping,s__DualObjectProcess) )).++fof(kb_SUMOcache_4199,axiom,(+ s__instance(s__Ungrasping__t,s__SetOrClass) )).++fof(kb_SUMOcache_4200,axiom,(+ s__subclass(s__Ungrasping,s__Process) )).++fof(kb_SUMOcache_4201,axiom,(+ s__subclass(s__Ungrasping,s__Entity) )).++fof(kb_SUMOcache_4202,axiom,(+ s__subclass(s__ShapeChange,s__Physical) )).++fof(kb_SUMOcache_4203,axiom,(+ s__subclass(s__ShapeChange,s__Process) )).++fof(kb_SUMOcache_4204,axiom,(+ s__subclass(s__ShapeChange,s__Entity) )).++fof(kb_SUMOcache_4205,axiom,(+ s__instance(s__ShapeChange__t,s__SetOrClass) )).++fof(kb_SUMOcache_4206,axiom,(+ s__subclass(s__Meat,s__Physical) )).++fof(kb_SUMOcache_4207,axiom,(+ s__subclass(s__Meat,s__Object) )).++fof(kb_SUMOcache_4208,axiom,(+ s__subclass(s__Meat,s__Entity) )).++fof(kb_SUMOcache_4209,axiom,(+ s__instance(s__Meat__t,s__SetOrClass) )).++fof(kb_SUMOcache_4210,axiom,(+ s__subclass(s__GeopoliticalArea,s__Physical) )).++fof(kb_SUMOcache_4211,axiom,(+ s__subclass(s__GeopoliticalArea,s__Region) )).++fof(kb_SUMOcache_4212,axiom,(+ s__subclass(s__GeopoliticalArea,s__Object) )).++fof(kb_SUMOcache_4213,axiom,(+ s__instance(s__GeopoliticalArea__t,s__SetOrClass) )).++fof(kb_SUMOcache_4214,axiom,(+ s__subclass(s__GeopoliticalArea,s__Entity) )).++fof(kb_SUMOcache_4215,axiom,(+ s__subclass(s__UnilateralGiving,s__Physical) )).++fof(kb_SUMOcache_4216,axiom,(+ s__subclass(s__UnilateralGiving,s__SocialInteraction) )).++fof(kb_SUMOcache_4217,axiom,(+ s__subclass(s__UnilateralGiving,s__Process) )).++fof(kb_SUMOcache_4218,axiom,(+ s__subclass(s__UnilateralGiving,s__ChangeOfPossession) )).++fof(kb_SUMOcache_4219,axiom,(+ s__subclass(s__UnilateralGiving,s__IntentionalProcess) )).++fof(kb_SUMOcache_4220,axiom,(+ s__instance(s__UnilateralGiving__t,s__SetOrClass) )).++fof(kb_SUMOcache_4221,axiom,(+ s__subclass(s__UnilateralGiving,s__Entity) )).++fof(kb_SUMOcache_4222,axiom,(+ s__subclass(s__SolidAngleMeasure,s__Quantity) )).++fof(kb_SUMOcache_4223,axiom,(+ s__subclass(s__SolidAngleMeasure,s__ConstantQuantity) )).++fof(kb_SUMOcache_4224,axiom,(+ s__instance(s__SolidAngleMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_4225,axiom,(+ s__subclass(s__SolidAngleMeasure,s__Entity) )).++fof(kb_SUMOcache_4226,axiom,(+ s__subclass(s__SolidAngleMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4227,axiom,(+ s__subclass(s__SolidAngleMeasure,s__Abstract) )).++fof(kb_SUMOcache_4228,axiom,(+ s__subclass(s__Position,s__Attribute) )).++fof(kb_SUMOcache_4229,axiom,(+ s__subclass(s__Position,s__RelationalAttribute) )).++fof(kb_SUMOcache_4230,axiom,(+ s__subclass(s__Position,s__Entity) )).++fof(kb_SUMOcache_4231,axiom,(+ s__subclass(s__Position,s__Abstract) )).++fof(kb_SUMOcache_4232,axiom,(+ s__instance(s__Position__t,s__SetOrClass) )).++fof(kb_SUMOcache_4233,axiom,(+ s__subclass(s__Contest,s__Physical) )).++fof(kb_SUMOcache_4234,axiom,(+ s__subclass(s__Contest,s__Process) )).++fof(kb_SUMOcache_4235,axiom,(+ s__subclass(s__Contest,s__IntentionalProcess) )).++fof(kb_SUMOcache_4236,axiom,(+ s__subclass(s__Contest,s__Entity) )).++fof(kb_SUMOcache_4237,axiom,(+ s__subclass(s__Investigating,s__Physical) )).++fof(kb_SUMOcache_4238,axiom,(+ s__subclass(s__Investigating,s__Process) )).++fof(kb_SUMOcache_4239,axiom,(+ s__subclass(s__Investigating,s__PsychologicalProcess) )).++fof(kb_SUMOcache_4240,axiom,(+ s__subclass(s__Investigating,s__InternalChange) )).++fof(kb_SUMOcache_4241,axiom,(+ s__subclass(s__Investigating,s__BiologicalProcess) )).++fof(kb_SUMOcache_4242,axiom,(+ s__subclass(s__Investigating,s__IntentionalProcess) )).++fof(kb_SUMOcache_4243,axiom,(+ s__subclass(s__Investigating,s__Entity) )).++fof(kb_SUMOcache_4244,axiom,(+ s__instance(s__Investigating__t,s__SetOrClass) )).++fof(kb_SUMOcache_4245,axiom,(+ s__subclass(s__Mammal,s__Physical) )).++fof(kb_SUMOcache_4246,axiom,(+ s__subclass(s__Mammal,s__OrganicObject) )).++fof(kb_SUMOcache_4247,axiom,(+ s__subclass(s__Mammal,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4248,axiom,(+ s__subclass(s__Mammal,s__Agent) )).++fof(kb_SUMOcache_4249,axiom,(+ s__subclass(s__Mammal,s__Animal) )).++fof(kb_SUMOcache_4250,axiom,(+ s__subclass(s__Mammal,s__Vertebrate) )).++fof(kb_SUMOcache_4251,axiom,(+ s__subclass(s__Mammal,s__OrganicThing) )).++fof(kb_SUMOcache_4252,axiom,(+ s__subclass(s__Mammal,s__Organism) )).++fof(kb_SUMOcache_4253,axiom,(+ s__subclass(s__Mammal,s__CorpuscularObject) )).++fof(kb_SUMOcache_4254,axiom,(+ s__subclass(s__Mammal,s__Object) )).++fof(kb_SUMOcache_4255,axiom,(+ s__subclass(s__Mammal,s__Entity) )).++fof(kb_SUMOcache_4256,axiom,(+ s__subclass(s__Coloring,s__Physical) )).++fof(kb_SUMOcache_4257,axiom,(+ s__subclass(s__Coloring,s__Process) )).++fof(kb_SUMOcache_4258,axiom,(+ s__instance(s__Coloring__t,s__SetOrClass) )).++fof(kb_SUMOcache_4259,axiom,(+ s__subclass(s__Coloring,s__InternalChange) )).++fof(kb_SUMOcache_4260,axiom,(+ s__subclass(s__Coloring,s__Entity) )).++fof(kb_SUMOcache_4261,axiom,(+ s__subclass(s__Icon,s__Physical) )).++fof(kb_SUMOcache_4262,axiom,(+ s__subclass(s__Icon,s__Entity) )).++fof(kb_SUMOcache_4263,axiom,(+ s__instance(s__Icon__t,s__SetOrClass) )).++fof(kb_SUMOcache_4264,axiom,(+ s__subclass(s__Hormone,s__Physical) )).++fof(kb_SUMOcache_4265,axiom,(+ s__subclass(s__Hormone,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4266,axiom,(+ s__instance(s__Hormone__t,s__SetOrClass) )).++fof(kb_SUMOcache_4267,axiom,(+ s__subclass(s__Hormone,s__Substance) )).++fof(kb_SUMOcache_4268,axiom,(+ s__subclass(s__Hormone,s__Object) )).++fof(kb_SUMOcache_4269,axiom,(+ s__subclass(s__Hormone,s__Entity) )).++fof(kb_SUMOcache_4270,axiom,(+ s__subclass(s__UnitOfLength,s__Quantity) )).++fof(kb_SUMOcache_4271,axiom,(+ s__subclass(s__UnitOfLength,s__UnitOfMeasure) )).++fof(kb_SUMOcache_4272,axiom,(+ s__subclass(s__UnitOfLength,s__Abstract) )).++fof(kb_SUMOcache_4273,axiom,(+ s__subclass(s__UnitOfLength,s__Entity) )).++fof(kb_SUMOcache_4274,axiom,(+ s__subclass(s__UnitOfLength,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4275,axiom,(+ s__instance(s__UnitOfLength__t,s__SetOrClass) )).++fof(kb_SUMOcache_4276,axiom,(+ s__subclass(s__SocialInteraction,s__Physical) )).++fof(kb_SUMOcache_4277,axiom,(+ s__subclass(s__SocialInteraction,s__Process) )).++fof(kb_SUMOcache_4278,axiom,(+ s__subclass(s__SocialInteraction,s__Entity) )).++fof(kb_SUMOcache_4279,axiom,(+ s__subclass(s__Building,s__Physical) )).++fof(kb_SUMOcache_4280,axiom,(+ s__instance(s__Building__t,s__SetOrClass) )).++fof(kb_SUMOcache_4281,axiom,(+ s__subclass(s__Building,s__Artifact) )).++fof(kb_SUMOcache_4282,axiom,(+ s__subclass(s__Building,s__Object) )).++fof(kb_SUMOcache_4283,axiom,(+ s__subclass(s__Building,s__Entity) )).++fof(kb_SUMOcache_4284,axiom,(+ s__subclass(s__Communication,s__Physical) )).++fof(kb_SUMOcache_4285,axiom,(+ s__subclass(s__Communication,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_4286,axiom,(+ s__subclass(s__Communication,s__Process) )).++fof(kb_SUMOcache_4287,axiom,(+ s__subclass(s__Communication,s__IntentionalProcess) )).++fof(kb_SUMOcache_4288,axiom,(+ s__subclass(s__Communication,s__Entity) )).++fof(kb_SUMOcache_4289,axiom,(+ s__subclass(s__Walking,s__Physical) )).++fof(kb_SUMOcache_4290,axiom,(+ s__subclass(s__Walking,s__Motion) )).++fof(kb_SUMOcache_4291,axiom,(+ s__subclass(s__Walking,s__BodyMotion) )).++fof(kb_SUMOcache_4292,axiom,(+ s__subclass(s__Walking,s__Process) )).++fof(kb_SUMOcache_4293,axiom,(+ s__subclass(s__Walking,s__Translocation) )).++fof(kb_SUMOcache_4294,axiom,(+ s__instance(s__Walking__t,s__SetOrClass) )).++fof(kb_SUMOcache_4295,axiom,(+ s__subclass(s__Walking,s__Entity) )).++fof(kb_SUMOcache_4296,axiom,(+ s__subclass(s__VocalCords,s__Physical) )).++fof(kb_SUMOcache_4297,axiom,(+ s__subclass(s__VocalCords,s__AnatomicalStructure) )).++fof(kb_SUMOcache_4298,axiom,(+ s__subclass(s__VocalCords,s__OrganicObject) )).++fof(kb_SUMOcache_4299,axiom,(+ s__subclass(s__VocalCords,s__BodyPart) )).++fof(kb_SUMOcache_4300,axiom,(+ s__subclass(s__VocalCords,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4301,axiom,(+ s__subclass(s__VocalCords,s__OrganicThing) )).++fof(kb_SUMOcache_4302,axiom,(+ s__instance(s__VocalCords__t,s__SetOrClass) )).++fof(kb_SUMOcache_4303,axiom,(+ s__subclass(s__VocalCords,s__CorpuscularObject) )).++fof(kb_SUMOcache_4304,axiom,(+ s__subclass(s__VocalCords,s__Object) )).++fof(kb_SUMOcache_4305,axiom,(+ s__subclass(s__VocalCords,s__Entity) )).++fof(kb_SUMOcache_4306,axiom,(+ s__subclass(s__CommercialService,s__Physical) )).++fof(kb_SUMOcache_4307,axiom,(+ s__subclass(s__CommercialService,s__Transaction) )).++fof(kb_SUMOcache_4308,axiom,(+ s__subclass(s__CommercialService,s__DualObjectProcess) )).++fof(kb_SUMOcache_4309,axiom,(+ s__subclass(s__CommercialService,s__SocialInteraction) )).++fof(kb_SUMOcache_4310,axiom,(+ s__subclass(s__CommercialService,s__Process) )).++fof(kb_SUMOcache_4311,axiom,(+ s__subclass(s__CommercialService,s__ChangeOfPossession) )).++fof(kb_SUMOcache_4312,axiom,(+ s__subclass(s__CommercialService,s__IntentionalProcess) )).++fof(kb_SUMOcache_4313,axiom,(+ s__subclass(s__CommercialService,s__Entity) )).++fof(kb_SUMOcache_4314,axiom,(+ s__instance(s__CommercialService__t,s__SetOrClass) )).++fof(kb_SUMOcache_4315,axiom,(+ s__subclass(s__NonFloweringPlant,s__Physical) )).++fof(kb_SUMOcache_4316,axiom,(+ s__subclass(s__NonFloweringPlant,s__OrganicObject) )).++fof(kb_SUMOcache_4317,axiom,(+ s__instance(s__NonFloweringPlant__t,s__SetOrClass) )).++fof(kb_SUMOcache_4318,axiom,(+ s__subclass(s__NonFloweringPlant,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4319,axiom,(+ s__subclass(s__NonFloweringPlant,s__Agent) )).++fof(kb_SUMOcache_4320,axiom,(+ s__subclass(s__NonFloweringPlant,s__OrganicThing) )).++fof(kb_SUMOcache_4321,axiom,(+ s__subclass(s__NonFloweringPlant,s__Organism) )).++fof(kb_SUMOcache_4322,axiom,(+ s__subclass(s__NonFloweringPlant,s__Object) )).++fof(kb_SUMOcache_4323,axiom,(+ s__subclass(s__NonFloweringPlant,s__CorpuscularObject) )).++fof(kb_SUMOcache_4324,axiom,(+ s__subclass(s__NonFloweringPlant,s__Entity) )).++fof(kb_SUMOcache_4325,axiom,(+ s__subclass(s__Disagreeing,s__Physical) )).++fof(kb_SUMOcache_4326,axiom,(+ s__subclass(s__Disagreeing,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_4327,axiom,(+ s__subclass(s__Disagreeing,s__SocialInteraction) )).++fof(kb_SUMOcache_4328,axiom,(+ s__subclass(s__Disagreeing,s__Process) )).++fof(kb_SUMOcache_4329,axiom,(+ s__subclass(s__Disagreeing,s__Communication) )).++fof(kb_SUMOcache_4330,axiom,(+ s__subclass(s__Disagreeing,s__IntentionalProcess) )).++fof(kb_SUMOcache_4331,axiom,(+ s__subclass(s__Disagreeing,s__ContentBearingProcess) )).++fof(kb_SUMOcache_4332,axiom,(+ s__subclass(s__Disagreeing,s__LinguisticCommunication) )).++fof(kb_SUMOcache_4333,axiom,(+ s__subclass(s__Disagreeing,s__Entity) )).++fof(kb_SUMOcache_4334,axiom,(+ s__instance(s__Disagreeing__t,s__SetOrClass) )).++fof(kb_SUMOcache_4335,axiom,(+ s__subclass(s__ContinuousFunction,s__Relation) )).++fof(kb_SUMOcache_4336,axiom,(+ s__subclass(s__ContinuousFunction,s__InheritableRelation) )).++fof(kb_SUMOcache_4337,axiom,(+ s__instance(s__ContinuousFunction__t,s__SetOrClass) )).++fof(kb_SUMOcache_4338,axiom,(+ s__subclass(s__ContinuousFunction,s__SingleValuedRelation) )).++fof(kb_SUMOcache_4339,axiom,(+ s__subclass(s__ContinuousFunction,s__Entity) )).++fof(kb_SUMOcache_4340,axiom,(+ s__subclass(s__ContinuousFunction,s__Abstract) )).++fof(kb_SUMOcache_4341,axiom,(+ s__subclass(s__FactualText,s__Physical) )).++fof(kb_SUMOcache_4342,axiom,(+ s__subclass(s__FactualText,s__Artifact) )).++fof(kb_SUMOcache_4343,axiom,(+ s__subclass(s__FactualText,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_4344,axiom,(+ s__subclass(s__FactualText,s__ContentBearingObject) )).++fof(kb_SUMOcache_4345,axiom,(+ s__subclass(s__FactualText,s__LinguisticExpression) )).++fof(kb_SUMOcache_4346,axiom,(+ s__subclass(s__FactualText,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4347,axiom,(+ s__subclass(s__FactualText,s__Object) )).++fof(kb_SUMOcache_4348,axiom,(+ s__subclass(s__FactualText,s__CorpuscularObject) )).++fof(kb_SUMOcache_4349,axiom,(+ s__instance(s__FactualText__t,s__SetOrClass) )).++fof(kb_SUMOcache_4350,axiom,(+ s__subclass(s__FactualText,s__Entity) )).++fof(kb_SUMOcache_4351,axiom,(+ s__subclass(s__NullSet,s__Abstract) )).++fof(kb_SUMOcache_4352,axiom,(+ s__instance(s__NullSet__t,s__SetOrClass) )).++fof(kb_SUMOcache_4353,axiom,(+ s__subclass(s__NullSet,s__Entity) )).++fof(kb_SUMOcache_4354,axiom,(+ s__subclass(s__Egg,s__Physical) )).++fof(kb_SUMOcache_4355,axiom,(+ s__subclass(s__Egg,s__OrganicObject) )).++fof(kb_SUMOcache_4356,axiom,(+ s__subclass(s__Egg,s__BodyPart) )).++fof(kb_SUMOcache_4357,axiom,(+ s__subclass(s__Egg,s__AnatomicalStructure) )).++fof(kb_SUMOcache_4358,axiom,(+ s__subclass(s__Egg,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4359,axiom,(+ s__instance(s__Egg__t,s__SetOrClass) )).++fof(kb_SUMOcache_4360,axiom,(+ s__subclass(s__Egg,s__OrganicThing) )).++fof(kb_SUMOcache_4361,axiom,(+ s__instance(s__OrganicThing__t,s__SetOrClass) )).++fof(kb_SUMOcache_4362,axiom,(+ s__subclass(s__Egg,s__CorpuscularObject) )).++fof(kb_SUMOcache_4363,axiom,(+ s__subclass(s__Egg,s__Object) )).++fof(kb_SUMOcache_4364,axiom,(+ s__subclass(s__Egg,s__Entity) )).++fof(kb_SUMOcache_4365,axiom,(+ s__subclass(s__ImaginaryNumber,s__Quantity) )).++fof(kb_SUMOcache_4366,axiom,(+ s__subclass(s__ImaginaryNumber,s__Abstract) )).++fof(kb_SUMOcache_4367,axiom,(+ s__instance(s__ImaginaryNumber__t,s__SetOrClass) )).++fof(kb_SUMOcache_4368,axiom,(+ s__subclass(s__ImaginaryNumber,s__Entity) )).++fof(kb_SUMOcache_4369,axiom,(+ s__subclass(s__Meeting,s__Physical) )).++fof(kb_SUMOcache_4370,axiom,(+ s__instance(s__Meeting__t,s__SetOrClass) )).++fof(kb_SUMOcache_4371,axiom,(+ s__subclass(s__Meeting,s__Process) )).++fof(kb_SUMOcache_4372,axiom,(+ s__subclass(s__Meeting,s__IntentionalProcess) )).++fof(kb_SUMOcache_4373,axiom,(+ s__subclass(s__Meeting,s__Entity) )).++fof(kb_SUMOcache_4374,axiom,(+ s__subclass(s__EvenInteger,s__Quantity) )).++fof(kb_SUMOcache_4375,axiom,(+ s__instance(s__EvenInteger__t,s__SetOrClass) )).++fof(kb_SUMOcache_4376,axiom,(+ s__subclass(s__EvenInteger,s__Number) )).++fof(kb_SUMOcache_4377,axiom,(+ s__subclass(s__EvenInteger,s__RealNumber) )).++fof(kb_SUMOcache_4378,axiom,(+ s__subclass(s__EvenInteger,s__Entity) )).++fof(kb_SUMOcache_4379,axiom,(+ s__subclass(s__EvenInteger,s__Abstract) )).++fof(kb_SUMOcache_4380,axiom,(+ s__subclass(s__EvenInteger,s__RationalNumber) )).++fof(kb_SUMOcache_4381,axiom,(+ s__subclass(s__Translocation,s__Physical) )).++fof(kb_SUMOcache_4382,axiom,(+ s__subclass(s__Translocation,s__Process) )).++fof(kb_SUMOcache_4383,axiom,(+ s__subclass(s__Translocation,s__Entity) )).++fof(kb_SUMOcache_4384,axiom,(+ s__subclass(s__HoofedMammal,s__OrganicObject) )).++fof(kb_SUMOcache_4385,axiom,(+ s__subclass(s__HoofedMammal,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_4386,axiom,(+ s__subclass(s__HoofedMammal,s__Animal) )).++fof(kb_SUMOcache_4387,axiom,(+ s__subclass(s__HoofedMammal,s__Agent) )).++fof(kb_SUMOcache_4388,axiom,(+ s__subclass(s__HoofedMammal,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4389,axiom,(+ s__subclass(s__HoofedMammal,s__Physical) )).++fof(kb_SUMOcache_4390,axiom,(+ s__subclass(s__HoofedMammal,s__Vertebrate) )).++fof(kb_SUMOcache_4391,axiom,(+ s__subclass(s__HoofedMammal,s__OrganicThing) )).++fof(kb_SUMOcache_4392,axiom,(+ s__subclass(s__HoofedMammal,s__Organism) )).++fof(kb_SUMOcache_4393,axiom,(+ s__subclass(s__HoofedMammal,s__Object) )).++fof(kb_SUMOcache_4394,axiom,(+ s__instance(s__HoofedMammal__t,s__SetOrClass) )).++fof(kb_SUMOcache_4395,axiom,(+ s__subclass(s__HoofedMammal,s__CorpuscularObject) )).++fof(kb_SUMOcache_4396,axiom,(+ s__subclass(s__HoofedMammal,s__Entity) )).++fof(kb_SUMOcache_4397,axiom,(+ s__subclass(s__SexAttribute,s__Attribute) )).++fof(kb_SUMOcache_4398,axiom,(+ s__subclass(s__SexAttribute,s__InternalAttribute) )).++fof(kb_SUMOcache_4399,axiom,(+ s__instance(s__SexAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_4400,axiom,(+ s__subclass(s__SexAttribute,s__Entity) )).++fof(kb_SUMOcache_4401,axiom,(+ s__subclass(s__SexAttribute,s__Abstract) )).++fof(kb_SUMOcache_4402,axiom,(+ s__subclass(s__StateOrProvince,s__Physical) )).++fof(kb_SUMOcache_4403,axiom,(+ s__instance(s__StateOrProvince__t,s__SetOrClass) )).++fof(kb_SUMOcache_4404,axiom,(+ s__subclass(s__StateOrProvince,s__GeographicArea) )).++fof(kb_SUMOcache_4405,axiom,(+ s__subclass(s__StateOrProvince,s__Region) )).++fof(kb_SUMOcache_4406,axiom,(+ s__subclass(s__StateOrProvince,s__Agent) )).++fof(kb_SUMOcache_4407,axiom,(+ s__subclass(s__StateOrProvince,s__Object) )).++fof(kb_SUMOcache_4408,axiom,(+ s__subclass(s__StateOrProvince,s__Entity) )).++fof(kb_SUMOcache_4409,axiom,(+ s__subclass(s__SingleAgentProcess,s__Physical) )).++fof(kb_SUMOcache_4410,axiom,(+ s__instance(s__SingleAgentProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_4411,axiom,(+ s__subclass(s__SingleAgentProcess,s__Entity) )).++fof(kb_SUMOcache_4412,axiom,(+ s__subclass(s__FruitOrVegetable,s__Physical) )).++fof(kb_SUMOcache_4413,axiom,(+ s__subclass(s__FruitOrVegetable,s__OrganicObject) )).++fof(kb_SUMOcache_4414,axiom,(+ s__subclass(s__FruitOrVegetable,s__BodyPart) )).++fof(kb_SUMOcache_4415,axiom,(+ s__subclass(s__FruitOrVegetable,s__AnatomicalStructure) )).++fof(kb_SUMOcache_4416,axiom,(+ s__subclass(s__FruitOrVegetable,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4417,axiom,(+ s__subclass(s__FruitOrVegetable,s__OrganicThing) )).++fof(kb_SUMOcache_4418,axiom,(+ s__subclass(s__FruitOrVegetable,s__CorpuscularObject) )).++fof(kb_SUMOcache_4419,axiom,(+ s__subclass(s__FruitOrVegetable,s__Object) )).++fof(kb_SUMOcache_4420,axiom,(+ s__instance(s__FruitOrVegetable__t,s__SetOrClass) )).++fof(kb_SUMOcache_4421,axiom,(+ s__subclass(s__FruitOrVegetable,s__Entity) )).++fof(kb_SUMOcache_4422,axiom,(+ s__subclass(s__NonCompositeUnitOfMeasure,s__Quantity) )).++fof(kb_SUMOcache_4423,axiom,(+ s__subclass(s__NonCompositeUnitOfMeasure,s__Entity) )).++fof(kb_SUMOcache_4424,axiom,(+ s__subclass(s__NonCompositeUnitOfMeasure,s__Abstract) )).++fof(kb_SUMOcache_4425,axiom,(+ s__subclass(s__NonCompositeUnitOfMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4426,axiom,(+ s__subclass(s__Buying,s__Physical) )).++fof(kb_SUMOcache_4427,axiom,(+ s__instance(s__Buying__t,s__SetOrClass) )).++fof(kb_SUMOcache_4428,axiom,(+ s__subclass(s__Buying,s__Transaction) )).++fof(kb_SUMOcache_4429,axiom,(+ s__subclass(s__Buying,s__DualObjectProcess) )).++fof(kb_SUMOcache_4430,axiom,(+ s__subclass(s__Buying,s__SocialInteraction) )).++fof(kb_SUMOcache_4431,axiom,(+ s__subclass(s__Buying,s__Process) )).++fof(kb_SUMOcache_4432,axiom,(+ s__subclass(s__Buying,s__ChangeOfPossession) )).++fof(kb_SUMOcache_4433,axiom,(+ s__subclass(s__Buying,s__IntentionalProcess) )).++fof(kb_SUMOcache_4434,axiom,(+ s__subclass(s__Buying,s__Entity) )).++fof(kb_SUMOcache_4435,axiom,(+ s__subclass(s__TactilePerception,s__Physical) )).++fof(kb_SUMOcache_4436,axiom,(+ s__subclass(s__TactilePerception,s__Process) )).++fof(kb_SUMOcache_4437,axiom,(+ s__subclass(s__TactilePerception,s__PsychologicalProcess) )).++fof(kb_SUMOcache_4438,axiom,(+ s__subclass(s__TactilePerception,s__InternalChange) )).++fof(kb_SUMOcache_4439,axiom,(+ s__subclass(s__TactilePerception,s__BiologicalProcess) )).++fof(kb_SUMOcache_4440,axiom,(+ s__subclass(s__TactilePerception,s__Entity) )).++fof(kb_SUMOcache_4441,axiom,(+ s__instance(s__TactilePerception__t,s__SetOrClass) )).++fof(kb_SUMOcache_4442,axiom,(+ s__subclass(s__SymbolicString,s__Physical) )).++fof(kb_SUMOcache_4443,axiom,(+ s__subclass(s__SymbolicString,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_4444,axiom,(+ s__subclass(s__SymbolicString,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4445,axiom,(+ s__subclass(s__SymbolicString,s__Object) )).++fof(kb_SUMOcache_4446,axiom,(+ s__subclass(s__SymbolicString,s__CorpuscularObject) )).++fof(kb_SUMOcache_4447,axiom,(+ s__subclass(s__SymbolicString,s__Entity) )).++fof(kb_SUMOcache_4448,axiom,(+ s__instance(s__SymbolicString__t,s__SetOrClass) )).++fof(kb_SUMOcache_4449,axiom,(+ s__subclass(s__HumanLanguage,s__Physical) )).++fof(kb_SUMOcache_4450,axiom,(+ s__subclass(s__HumanLanguage,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_4451,axiom,(+ s__subclass(s__HumanLanguage,s__LinguisticExpression) )).++fof(kb_SUMOcache_4452,axiom,(+ s__subclass(s__HumanLanguage,s__Entity) )).++fof(kb_SUMOcache_4453,axiom,(+ s__instance(s__HumanLanguage__t,s__SetOrClass) )).++fof(kb_SUMOcache_4454,axiom,(+ s__subclass(s__CaseRole,s__Relation) )).++fof(kb_SUMOcache_4455,axiom,(+ s__subclass(s__CaseRole,s__AntisymmetricRelation) )).++fof(kb_SUMOcache_4456,axiom,(+ s__subclass(s__CaseRole,s__IrreflexiveRelation) )).++fof(kb_SUMOcache_4457,axiom,(+ s__subclass(s__CaseRole,s__Predicate) )).++fof(kb_SUMOcache_4458,axiom,(+ s__subclass(s__CaseRole,s__BinaryRelation) )).++fof(kb_SUMOcache_4459,axiom,(+ s__subclass(s__CaseRole,s__Abstract) )).++fof(kb_SUMOcache_4460,axiom,(+ s__instance(s__CaseRole__t,s__SetOrClass) )).++fof(kb_SUMOcache_4461,axiom,(+ s__subclass(s__CaseRole,s__Entity) )).++fof(kb_SUMOcache_4462,axiom,(+ s__subclass(s__Smoke,s__Physical) )).++fof(kb_SUMOcache_4463,axiom,(+ s__subclass(s__Smoke,s__Mixture) )).++fof(kb_SUMOcache_4464,axiom,(+ s__subclass(s__Smoke,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4465,axiom,(+ s__subclass(s__Smoke,s__GasMixture) )).++fof(kb_SUMOcache_4466,axiom,(+ s__subclass(s__Smoke,s__Substance) )).++fof(kb_SUMOcache_4467,axiom,(+ s__subclass(s__Smoke,s__Object) )).++fof(kb_SUMOcache_4468,axiom,(+ s__subclass(s__Smoke,s__Entity) )).++fof(kb_SUMOcache_4469,axiom,(+ s__instance(s__Smoke__t,s__SetOrClass) )).++fof(kb_SUMOcache_4470,axiom,(+ s__subclass(s__PsychologicalAttribute,s__Attribute) )).++fof(kb_SUMOcache_4471,axiom,(+ s__subclass(s__PsychologicalAttribute,s__InternalAttribute) )).++fof(kb_SUMOcache_4472,axiom,(+ s__subclass(s__PsychologicalAttribute,s__Entity) )).++fof(kb_SUMOcache_4473,axiom,(+ s__subclass(s__PsychologicalAttribute,s__Abstract) )).++fof(kb_SUMOcache_4474,axiom,(+ s__subclass(s__StateOfMind,s__BiologicalAttribute) )).++fof(kb_SUMOcache_4475,axiom,(+ s__subclass(s__StateOfMind,s__Attribute) )).++fof(kb_SUMOcache_4476,axiom,(+ s__instance(s__StateOfMind__t,s__SetOrClass) )).++fof(kb_SUMOcache_4477,axiom,(+ s__subclass(s__StateOfMind,s__InternalAttribute) )).++fof(kb_SUMOcache_4478,axiom,(+ s__subclass(s__StateOfMind,s__Entity) )).++fof(kb_SUMOcache_4479,axiom,(+ s__subclass(s__StateOfMind,s__Abstract) )).++fof(kb_SUMOcache_4480,axiom,(+ s__subclass(s__AnimalLanguage,s__Physical) )).++fof(kb_SUMOcache_4481,axiom,(+ s__instance(s__AnimalLanguage__t,s__SetOrClass) )).++fof(kb_SUMOcache_4482,axiom,(+ s__subclass(s__AnimalLanguage,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_4483,axiom,(+ s__subclass(s__AnimalLanguage,s__LinguisticExpression) )).++fof(kb_SUMOcache_4484,axiom,(+ s__subclass(s__AnimalLanguage,s__Entity) )).++fof(kb_SUMOcache_4485,axiom,(+ s__subclass(s__Perception,s__Physical) )).++fof(kb_SUMOcache_4486,axiom,(+ s__subclass(s__Perception,s__Process) )).++fof(kb_SUMOcache_4487,axiom,(+ s__subclass(s__Perception,s__InternalChange) )).++fof(kb_SUMOcache_4488,axiom,(+ s__subclass(s__Perception,s__BiologicalProcess) )).++fof(kb_SUMOcache_4489,axiom,(+ s__instance(s__Perception__t,s__SetOrClass) )).++fof(kb_SUMOcache_4490,axiom,(+ s__subclass(s__Perception,s__Entity) )).++fof(kb_SUMOcache_4491,axiom,(+ s__subclass(s__Mollusk,s__Physical) )).++fof(kb_SUMOcache_4492,axiom,(+ s__subclass(s__Mollusk,s__OrganicObject) )).++fof(kb_SUMOcache_4493,axiom,(+ s__subclass(s__Mollusk,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4494,axiom,(+ s__subclass(s__Mollusk,s__Agent) )).++fof(kb_SUMOcache_4495,axiom,(+ s__subclass(s__Mollusk,s__Animal) )).++fof(kb_SUMOcache_4496,axiom,(+ s__subclass(s__Mollusk,s__OrganicThing) )).++fof(kb_SUMOcache_4497,axiom,(+ s__subclass(s__Mollusk,s__Organism) )).++fof(kb_SUMOcache_4498,axiom,(+ s__subclass(s__Mollusk,s__CorpuscularObject) )).++fof(kb_SUMOcache_4499,axiom,(+ s__subclass(s__Mollusk,s__Object) )).++fof(kb_SUMOcache_4500,axiom,(+ s__instance(s__Mollusk__t,s__SetOrClass) )).++fof(kb_SUMOcache_4501,axiom,(+ s__instance(s__Object__t,s__SetOrClass) )).++fof(kb_SUMOcache_4502,axiom,(+ s__subclass(s__Mollusk,s__Entity) )).++fof(kb_SUMOcache_4503,axiom,(+ s__subclass(s__Tuesday,s__ConstantQuantity) )).++fof(kb_SUMOcache_4504,axiom,(+ s__subclass(s__Tuesday,s__Quantity) )).++fof(kb_SUMOcache_4505,axiom,(+ s__subclass(s__Tuesday,s__TimeMeasure) )).++fof(kb_SUMOcache_4506,axiom,(+ s__subclass(s__Tuesday,s__TimePosition) )).++fof(kb_SUMOcache_4507,axiom,(+ s__subclass(s__Tuesday,s__TimeInterval) )).++fof(kb_SUMOcache_4508,axiom,(+ s__subclass(s__Tuesday,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4509,axiom,(+ s__subclass(s__Tuesday,s__Abstract) )).++fof(kb_SUMOcache_4510,axiom,(+ s__instance(s__Tuesday__t,s__SetOrClass) )).++fof(kb_SUMOcache_4511,axiom,(+ s__subclass(s__Tuesday,s__Entity) )).++fof(kb_SUMOcache_4512,axiom,(+ s__subclass(s__ComputerProgramming,s__Physical) )).++fof(kb_SUMOcache_4513,axiom,(+ s__subclass(s__ComputerProgramming,s__Process) )).++fof(kb_SUMOcache_4514,axiom,(+ s__subclass(s__ComputerProgramming,s__IntentionalProcess) )).++fof(kb_SUMOcache_4515,axiom,(+ s__instance(s__ComputerProgramming__t,s__SetOrClass) )).++fof(kb_SUMOcache_4516,axiom,(+ s__subclass(s__ComputerProgramming,s__Entity) )).++fof(kb_SUMOcache_4517,axiom,(+ s__subclass(s__InternalChange,s__Physical) )).++fof(kb_SUMOcache_4518,axiom,(+ s__subclass(s__InternalChange,s__Entity) )).++fof(kb_SUMOcache_4519,axiom,(+ s__instance(s__InternalChange__t,s__SetOrClass) )).++fof(kb_SUMOcache_4520,axiom,(+ s__subclass(s__ManualHumanLanguage,s__Physical) )).++fof(kb_SUMOcache_4521,axiom,(+ s__subclass(s__ManualHumanLanguage,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_4522,axiom,(+ s__subclass(s__ManualHumanLanguage,s__LinguisticExpression) )).++fof(kb_SUMOcache_4523,axiom,(+ s__subclass(s__ManualHumanLanguage,s__Language) )).++fof(kb_SUMOcache_4524,axiom,(+ s__subclass(s__ManualHumanLanguage,s__Entity) )).++fof(kb_SUMOcache_4525,axiom,(+ s__instance(s__ManualHumanLanguage__t,s__SetOrClass) )).++fof(kb_SUMOcache_4526,axiom,(+ s__subclass(s__Singing,s__Physical) )).++fof(kb_SUMOcache_4527,axiom,(+ s__subclass(s__Singing,s__Motion) )).++fof(kb_SUMOcache_4528,axiom,(+ s__subclass(s__Singing,s__Vocalizing) )).++fof(kb_SUMOcache_4529,axiom,(+ s__subclass(s__Singing,s__MakingMusic) )).++fof(kb_SUMOcache_4530,axiom,(+ s__subclass(s__Singing,s__Process) )).++fof(kb_SUMOcache_4531,axiom,(+ s__subclass(s__Singing,s__Radiating) )).++fof(kb_SUMOcache_4532,axiom,(+ s__instance(s__Singing__t,s__SetOrClass) )).++fof(kb_SUMOcache_4533,axiom,(+ s__subclass(s__Singing,s__RadiatingSound) )).++fof(kb_SUMOcache_4534,axiom,(+ s__subclass(s__Singing,s__Entity) )).++fof(kb_SUMOcache_4535,axiom,(+ s__subclass(s__LegalAction,s__Physical) )).++fof(kb_SUMOcache_4536,axiom,(+ s__subclass(s__LegalAction,s__SocialInteraction) )).++fof(kb_SUMOcache_4537,axiom,(+ s__subclass(s__LegalAction,s__Process) )).++fof(kb_SUMOcache_4538,axiom,(+ s__subclass(s__LegalAction,s__IntentionalProcess) )).++fof(kb_SUMOcache_4539,axiom,(+ s__instance(s__LegalAction__t,s__SetOrClass) )).++fof(kb_SUMOcache_4540,axiom,(+ s__subclass(s__LegalAction,s__Entity) )).++fof(kb_SUMOcache_4541,axiom,(+ s__subclass(s__UnitOfMeasureMultiplier,s__Relation) )).++fof(kb_SUMOcache_4542,axiom,(+ s__instance(s__UnitOfMeasureMultiplier__t,s__SetOrClass) )).++fof(kb_SUMOcache_4543,axiom,(+ s__subclass(s__UnitOfMeasureMultiplier,s__InheritableRelation) )).++fof(kb_SUMOcache_4544,axiom,(+ s__subclass(s__UnitOfMeasureMultiplier,s__Function) )).++fof(kb_SUMOcache_4545,axiom,(+ s__subclass(s__UnitOfMeasureMultiplier,s__SingleValuedRelation) )).++fof(kb_SUMOcache_4546,axiom,(+ s__subclass(s__UnitOfMeasureMultiplier,s__BinaryRelation) )).++fof(kb_SUMOcache_4547,axiom,(+ s__subclass(s__UnitOfMeasureMultiplier,s__Abstract) )).++fof(kb_SUMOcache_4548,axiom,(+ s__subclass(s__UnitOfMeasureMultiplier,s__Entity) )).++fof(kb_SUMOcache_4549,axiom,(+ s__subclass(s__Plan,s__Proposition) )).++fof(kb_SUMOcache_4550,axiom,(+ s__instance(s__Plan__t,s__SetOrClass) )).++fof(kb_SUMOcache_4551,axiom,(+ s__instance(s__Proposition__t,s__SetOrClass) )).++fof(kb_SUMOcache_4552,axiom,(+ s__subclass(s__Plan,s__Entity) )).++fof(kb_SUMOcache_4553,axiom,(+ s__subclass(s__Plan,s__Abstract) )).++fof(kb_SUMOcache_4554,axiom,(+ s__subclass(s__StateChange,s__Physical) )).++fof(kb_SUMOcache_4555,axiom,(+ s__instance(s__StateChange__t,s__SetOrClass) )).++fof(kb_SUMOcache_4556,axiom,(+ s__subclass(s__StateChange,s__Process) )).++fof(kb_SUMOcache_4557,axiom,(+ s__subclass(s__StateChange,s__Entity) )).++fof(kb_SUMOcache_4558,axiom,(+ s__subclass(s__Second,s__Quantity) )).++fof(kb_SUMOcache_4559,axiom,(+ s__subclass(s__Second,s__ConstantQuantity) )).++fof(kb_SUMOcache_4560,axiom,(+ s__instance(s__Second__t,s__SetOrClass) )).++fof(kb_SUMOcache_4561,axiom,(+ s__instance(s__ConstantQuantity__t,s__SetOrClass) )).++fof(kb_SUMOcache_4562,axiom,(+ s__subclass(s__Second,s__TimeMeasure) )).++fof(kb_SUMOcache_4563,axiom,(+ s__subclass(s__Second,s__TimePosition) )).++fof(kb_SUMOcache_4564,axiom,(+ s__subclass(s__Second,s__Abstract) )).++fof(kb_SUMOcache_4565,axiom,(+ s__subclass(s__Second,s__Entity) )).++fof(kb_SUMOcache_4566,axiom,(+ s__subclass(s__Second,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4567,axiom,(+ s__subclass(s__Cooperation,s__Physical) )).++fof(kb_SUMOcache_4568,axiom,(+ s__subclass(s__Cooperation,s__Process) )).++fof(kb_SUMOcache_4569,axiom,(+ s__subclass(s__Cooperation,s__IntentionalProcess) )).++fof(kb_SUMOcache_4570,axiom,(+ s__subclass(s__Cooperation,s__Entity) )).++fof(kb_SUMOcache_4571,axiom,(+ s__instance(s__Cooperation__t,s__SetOrClass) )).++fof(kb_SUMOcache_4572,axiom,(+ s__subclass(s__MotionPicture,s__Physical) )).++fof(kb_SUMOcache_4573,axiom,(+ s__subclass(s__MotionPicture,s__Artifact) )).++fof(kb_SUMOcache_4574,axiom,(+ s__subclass(s__MotionPicture,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_4575,axiom,(+ s__subclass(s__MotionPicture,s__ContentBearingObject) )).++fof(kb_SUMOcache_4576,axiom,(+ s__subclass(s__MotionPicture,s__LinguisticExpression) )).++fof(kb_SUMOcache_4577,axiom,(+ s__subclass(s__MotionPicture,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4578,axiom,(+ s__instance(s__MotionPicture__t,s__SetOrClass) )).++fof(kb_SUMOcache_4579,axiom,(+ s__subclass(s__MotionPicture,s__Object) )).++fof(kb_SUMOcache_4580,axiom,(+ s__subclass(s__MotionPicture,s__CorpuscularObject) )).++fof(kb_SUMOcache_4581,axiom,(+ s__subclass(s__MotionPicture,s__Entity) )).++fof(kb_SUMOcache_4582,axiom,(+ s__subclass(s__SequenceFunction,s__Relation) )).++fof(kb_SUMOcache_4583,axiom,(+ s__subclass(s__SequenceFunction,s__InheritableRelation) )).++fof(kb_SUMOcache_4584,axiom,(+ s__subclass(s__SequenceFunction,s__Function) )).++fof(kb_SUMOcache_4585,axiom,(+ s__instance(s__SequenceFunction__t,s__SetOrClass) )).++fof(kb_SUMOcache_4586,axiom,(+ s__subclass(s__SequenceFunction,s__SingleValuedRelation) )).++fof(kb_SUMOcache_4587,axiom,(+ s__subclass(s__SequenceFunction,s__UnaryFunction) )).++fof(kb_SUMOcache_4588,axiom,(+ s__subclass(s__SequenceFunction,s__BinaryRelation) )).++fof(kb_SUMOcache_4589,axiom,(+ s__subclass(s__SequenceFunction,s__Entity) )).++fof(kb_SUMOcache_4590,axiom,(+ s__subclass(s__SequenceFunction,s__Abstract) )).++fof(kb_SUMOcache_4591,axiom,(+ s__subclass(s__Repairing,s__Physical) )).++fof(kb_SUMOcache_4592,axiom,(+ s__subclass(s__Repairing,s__Process) )).++fof(kb_SUMOcache_4593,axiom,(+ s__subclass(s__Repairing,s__Entity) )).++fof(kb_SUMOcache_4594,axiom,(+ s__subclass(s__TimeInterval,s__ConstantQuantity) )).++fof(kb_SUMOcache_4595,axiom,(+ s__subclass(s__TimeInterval,s__Quantity) )).++fof(kb_SUMOcache_4596,axiom,(+ s__subclass(s__TimeInterval,s__TimeMeasure) )).++fof(kb_SUMOcache_4597,axiom,(+ s__subclass(s__TimeInterval,s__Entity) )).++fof(kb_SUMOcache_4598,axiom,(+ s__subclass(s__TimeInterval,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4599,axiom,(+ s__subclass(s__TimeInterval,s__Abstract) )).++fof(kb_SUMOcache_4600,axiom,(+ s__subclass(s__Water,s__Physical) )).++fof(kb_SUMOcache_4601,axiom,(+ s__subclass(s__Water,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4602,axiom,(+ s__subclass(s__Water,s__Substance) )).++fof(kb_SUMOcache_4603,axiom,(+ s__subclass(s__Water,s__Object) )).++fof(kb_SUMOcache_4604,axiom,(+ s__subclass(s__Water,s__Entity) )).++fof(kb_SUMOcache_4605,axiom,(+ s__subclass(s__Water,s__PureSubstance) )).++fof(kb_SUMOcache_4606,axiom,(+ s__instance(s__Water__t,s__SetOrClass) )).++fof(kb_SUMOcache_4607,axiom,(+ s__subclass(s__GraphPath,s__Graph) )).++fof(kb_SUMOcache_4608,axiom,(+ s__instance(s__GraphPath__t,s__SetOrClass) )).++fof(kb_SUMOcache_4609,axiom,(+ s__subclass(s__GraphPath,s__Abstract) )).++fof(kb_SUMOcache_4610,axiom,(+ s__subclass(s__GraphPath,s__Entity) )).++fof(kb_SUMOcache_4611,axiom,(+ s__subclass(s__Growth,s__Physical) )).++fof(kb_SUMOcache_4612,axiom,(+ s__instance(s__Growth__t,s__SetOrClass) )).++fof(kb_SUMOcache_4613,axiom,(+ s__subclass(s__Growth,s__PhysiologicProcess) )).++fof(kb_SUMOcache_4614,axiom,(+ s__subclass(s__Growth,s__Process) )).++fof(kb_SUMOcache_4615,axiom,(+ s__subclass(s__Growth,s__InternalChange) )).++fof(kb_SUMOcache_4616,axiom,(+ s__subclass(s__Growth,s__BiologicalProcess) )).++fof(kb_SUMOcache_4617,axiom,(+ s__subclass(s__Growth,s__Entity) )).++fof(kb_SUMOcache_4618,axiom,(+ s__subclass(s__Interpreting,s__Physical) )).++fof(kb_SUMOcache_4619,axiom,(+ s__subclass(s__Interpreting,s__Process) )).++fof(kb_SUMOcache_4620,axiom,(+ s__subclass(s__Interpreting,s__PsychologicalProcess) )).++fof(kb_SUMOcache_4621,axiom,(+ s__subclass(s__Interpreting,s__InternalChange) )).++fof(kb_SUMOcache_4622,axiom,(+ s__subclass(s__Interpreting,s__BiologicalProcess) )).++fof(kb_SUMOcache_4623,axiom,(+ s__subclass(s__Interpreting,s__IntentionalProcess) )).++fof(kb_SUMOcache_4624,axiom,(+ s__instance(s__Interpreting__t,s__SetOrClass) )).++fof(kb_SUMOcache_4625,axiom,(+ s__subclass(s__Interpreting,s__Entity) )).++fof(kb_SUMOcache_4626,axiom,(+ s__subclass(s__PositiveInteger,s__Quantity) )).++fof(kb_SUMOcache_4627,axiom,(+ s__subclass(s__PositiveInteger,s__Number) )).++fof(kb_SUMOcache_4628,axiom,(+ s__subclass(s__PositiveInteger,s__Integer) )).++fof(kb_SUMOcache_4629,axiom,(+ s__subclass(s__PositiveInteger,s__NonnegativeRealNumber) )).++fof(kb_SUMOcache_4630,axiom,(+ s__subclass(s__PositiveInteger,s__RealNumber) )).++fof(kb_SUMOcache_4631,axiom,(+ s__instance(s__PositiveInteger__t,s__SetOrClass) )).++fof(kb_SUMOcache_4632,axiom,(+ s__subclass(s__PositiveInteger,s__Entity) )).++fof(kb_SUMOcache_4633,axiom,(+ s__subclass(s__PositiveInteger,s__Abstract) )).++fof(kb_SUMOcache_4634,axiom,(+ s__subclass(s__PositiveInteger,s__RationalNumber) )).++fof(kb_SUMOcache_4635,axiom,(+ s__subclass(s__GovernmentOrganization,s__Physical) )).++fof(kb_SUMOcache_4636,axiom,(+ s__subclass(s__GovernmentOrganization,s__Collection) )).++fof(kb_SUMOcache_4637,axiom,(+ s__subclass(s__GovernmentOrganization,s__Agent) )).++fof(kb_SUMOcache_4638,axiom,(+ s__subclass(s__GovernmentOrganization,s__Object) )).++fof(kb_SUMOcache_4639,axiom,(+ s__instance(s__GovernmentOrganization__t,s__SetOrClass) )).++fof(kb_SUMOcache_4640,axiom,(+ s__subclass(s__GovernmentOrganization,s__Group) )).++fof(kb_SUMOcache_4641,axiom,(+ s__subclass(s__GovernmentOrganization,s__Entity) )).++fof(kb_SUMOcache_4642,axiom,(+ s__subclass(s__War,s__Physical) )).++fof(kb_SUMOcache_4643,axiom,(+ s__instance(s__War__t,s__SetOrClass) )).++fof(kb_SUMOcache_4644,axiom,(+ s__subclass(s__War,s__SocialInteraction) )).++fof(kb_SUMOcache_4645,axiom,(+ s__subclass(s__War,s__Process) )).++fof(kb_SUMOcache_4646,axiom,(+ s__subclass(s__War,s__IntentionalProcess) )).++fof(kb_SUMOcache_4647,axiom,(+ s__subclass(s__War,s__Contest) )).++fof(kb_SUMOcache_4648,axiom,(+ s__subclass(s__War,s__Entity) )).++fof(kb_SUMOcache_4649,axiom,(+ s__subclass(s__NegativeRealNumber,s__Quantity) )).++fof(kb_SUMOcache_4650,axiom,(+ s__subclass(s__NegativeRealNumber,s__Number) )).++fof(kb_SUMOcache_4651,axiom,(+ s__instance(s__NegativeRealNumber__t,s__SetOrClass) )).++fof(kb_SUMOcache_4652,axiom,(+ s__subclass(s__NegativeRealNumber,s__Entity) )).++fof(kb_SUMOcache_4653,axiom,(+ s__subclass(s__NegativeRealNumber,s__Abstract) )).++fof(kb_SUMOcache_4654,axiom,(+ s__subclass(s__DevelopmentalAttribute,s__Attribute) )).++fof(kb_SUMOcache_4655,axiom,(+ s__instance(s__DevelopmentalAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_4656,axiom,(+ s__subclass(s__DevelopmentalAttribute,s__InternalAttribute) )).++fof(kb_SUMOcache_4657,axiom,(+ s__subclass(s__DevelopmentalAttribute,s__Entity) )).++fof(kb_SUMOcache_4658,axiom,(+ s__subclass(s__DevelopmentalAttribute,s__Abstract) )).++fof(kb_SUMOcache_4659,axiom,(+ s__subclass(s__TemporaryResidence,s__Physical) )).++fof(kb_SUMOcache_4660,axiom,(+ s__subclass(s__TemporaryResidence,s__Artifact) )).++fof(kb_SUMOcache_4661,axiom,(+ s__subclass(s__TemporaryResidence,s__StationaryArtifact) )).++fof(kb_SUMOcache_4662,axiom,(+ s__subclass(s__TemporaryResidence,s__Object) )).++fof(kb_SUMOcache_4663,axiom,(+ s__instance(s__TemporaryResidence__t,s__SetOrClass) )).++fof(kb_SUMOcache_4664,axiom,(+ s__subclass(s__TemporaryResidence,s__Entity) )).++fof(kb_SUMOcache_4665,axiom,(+ s__subclass(s__Voting,s__Physical) )).++fof(kb_SUMOcache_4666,axiom,(+ s__subclass(s__Voting,s__IntentionalPsychologicalProcess) )).++fof(kb_SUMOcache_4667,axiom,(+ s__subclass(s__Voting,s__Process) )).++fof(kb_SUMOcache_4668,axiom,(+ s__subclass(s__Voting,s__Selecting) )).++fof(kb_SUMOcache_4669,axiom,(+ s__subclass(s__Voting,s__PsychologicalProcess) )).++fof(kb_SUMOcache_4670,axiom,(+ s__subclass(s__Voting,s__InternalChange) )).++fof(kb_SUMOcache_4671,axiom,(+ s__subclass(s__Voting,s__BiologicalProcess) )).++fof(kb_SUMOcache_4672,axiom,(+ s__instance(s__Voting__t,s__SetOrClass) )).++fof(kb_SUMOcache_4673,axiom,(+ s__subclass(s__Voting,s__IntentionalProcess) )).++fof(kb_SUMOcache_4674,axiom,(+ s__subclass(s__Voting,s__Entity) )).++fof(kb_SUMOcache_4675,axiom,(+ s__subclass(s__EducationalOrganization,s__Physical) )).++fof(kb_SUMOcache_4676,axiom,(+ s__subclass(s__EducationalOrganization,s__Collection) )).++fof(kb_SUMOcache_4677,axiom,(+ s__subclass(s__EducationalOrganization,s__Agent) )).++fof(kb_SUMOcache_4678,axiom,(+ s__subclass(s__EducationalOrganization,s__Object) )).++fof(kb_SUMOcache_4679,axiom,(+ s__instance(s__EducationalOrganization__t,s__SetOrClass) )).++fof(kb_SUMOcache_4680,axiom,(+ s__subclass(s__EducationalOrganization,s__Group) )).++fof(kb_SUMOcache_4681,axiom,(+ s__subclass(s__EducationalOrganization,s__Entity) )).++fof(kb_SUMOcache_4682,axiom,(+ s__subclass(s__Swimming,s__Physical) )).++fof(kb_SUMOcache_4683,axiom,(+ s__instance(s__Swimming__t,s__SetOrClass) )).++fof(kb_SUMOcache_4684,axiom,(+ s__subclass(s__Swimming,s__Motion) )).++fof(kb_SUMOcache_4685,axiom,(+ s__subclass(s__Swimming,s__Process) )).++fof(kb_SUMOcache_4686,axiom,(+ s__subclass(s__Swimming,s__Entity) )).++fof(kb_SUMOcache_4687,axiom,(+ s__subclass(s__SingleFamilyResidence,s__Physical) )).++fof(kb_SUMOcache_4688,axiom,(+ s__subclass(s__SingleFamilyResidence,s__Artifact) )).++fof(kb_SUMOcache_4689,axiom,(+ s__instance(s__SingleFamilyResidence__t,s__SetOrClass) )).++fof(kb_SUMOcache_4690,axiom,(+ s__subclass(s__SingleFamilyResidence,s__StationaryArtifact) )).++fof(kb_SUMOcache_4691,axiom,(+ s__subclass(s__SingleFamilyResidence,s__Object) )).++fof(kb_SUMOcache_4692,axiom,(+ s__subclass(s__SingleFamilyResidence,s__Entity) )).++fof(kb_SUMOcache_4693,axiom,(+ s__subclass(s__SingleFamilyResidence,s__Residence) )).++fof(kb_SUMOcache_4694,axiom,(+ s__subclass(s__QuintaryRelation,s__Entity) )).++fof(kb_SUMOcache_4695,axiom,(+ s__subclass(s__QuintaryRelation,s__Abstract) )).++fof(kb_SUMOcache_4696,axiom,(+ s__instance(s__QuintaryRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_4697,axiom,(+ s__subclass(s__NonNullSet,s__Abstract) )).++fof(kb_SUMOcache_4698,axiom,(+ s__subclass(s__NonNullSet,s__Entity) )).++fof(kb_SUMOcache_4699,axiom,(+ s__instance(s__NonNullSet__t,s__SetOrClass) )).++fof(kb_SUMOcache_4700,axiom,(+ s__subclass(s__Running,s__Physical) )).++fof(kb_SUMOcache_4701,axiom,(+ s__subclass(s__Running,s__Motion) )).++fof(kb_SUMOcache_4702,axiom,(+ s__subclass(s__Running,s__BodyMotion) )).++fof(kb_SUMOcache_4703,axiom,(+ s__instance(s__Running__t,s__SetOrClass) )).++fof(kb_SUMOcache_4704,axiom,(+ s__subclass(s__Running,s__Process) )).++fof(kb_SUMOcache_4705,axiom,(+ s__subclass(s__Running,s__Translocation) )).++fof(kb_SUMOcache_4706,axiom,(+ s__subclass(s__Running,s__Entity) )).++fof(kb_SUMOcache_4707,axiom,(+ s__subclass(s__UnaryConstantFunctionQuantity,s__Quantity) )).++fof(kb_SUMOcache_4708,axiom,(+ s__instance(s__UnaryConstantFunctionQuantity__t,s__SetOrClass) )).++fof(kb_SUMOcache_4709,axiom,(+ s__subclass(s__UnaryConstantFunctionQuantity,s__Entity) )).++fof(kb_SUMOcache_4710,axiom,(+ s__subclass(s__UnaryConstantFunctionQuantity,s__Abstract) )).++fof(kb_SUMOcache_4711,axiom,(+ s__subclass(s__UnaryConstantFunctionQuantity,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4712,axiom,(+ s__subclass(s__ThreeDimensionalFigure,s__StructureAttribute) )).++fof(kb_SUMOcache_4713,axiom,(+ s__subclass(s__ThreeDimensionalFigure,s__ShapeAttribute) )).++fof(kb_SUMOcache_4714,axiom,(+ s__instance(s__ThreeDimensionalFigure__t,s__SetOrClass) )).++fof(kb_SUMOcache_4715,axiom,(+ s__instance(s__ShapeAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_4716,axiom,(+ s__subclass(s__ThreeDimensionalFigure,s__Attribute) )).++fof(kb_SUMOcache_4717,axiom,(+ s__subclass(s__ThreeDimensionalFigure,s__InternalAttribute) )).++fof(kb_SUMOcache_4718,axiom,(+ s__subclass(s__ThreeDimensionalFigure,s__Entity) )).++fof(kb_SUMOcache_4719,axiom,(+ s__subclass(s__ThreeDimensionalFigure,s__Abstract) )).++fof(kb_SUMOcache_4720,axiom,(+ s__subclass(s__SystemeInternationalUnit,s__Quantity) )).++fof(kb_SUMOcache_4721,axiom,(+ s__subclass(s__SystemeInternationalUnit,s__Entity) )).++fof(kb_SUMOcache_4722,axiom,(+ s__subclass(s__SystemeInternationalUnit,s__Abstract) )).++fof(kb_SUMOcache_4723,axiom,(+ s__subclass(s__SystemeInternationalUnit,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4724,axiom,(+ s__instance(s__SystemeInternationalUnit__t,s__SetOrClass) )).++fof(kb_SUMOcache_4725,axiom,(+ s__subclass(s__Birth,s__Physical) )).++fof(kb_SUMOcache_4726,axiom,(+ s__subclass(s__Birth,s__PhysiologicProcess) )).++fof(kb_SUMOcache_4727,axiom,(+ s__subclass(s__Birth,s__Process) )).++fof(kb_SUMOcache_4728,axiom,(+ s__subclass(s__Birth,s__InternalChange) )).++fof(kb_SUMOcache_4729,axiom,(+ s__subclass(s__Birth,s__BiologicalProcess) )).++fof(kb_SUMOcache_4730,axiom,(+ s__instance(s__Birth__t,s__SetOrClass) )).++fof(kb_SUMOcache_4731,axiom,(+ s__subclass(s__Birth,s__Entity) )).++fof(kb_SUMOcache_4732,axiom,(+ s__subclass(s__InheritableRelation,s__Entity) )).++fof(kb_SUMOcache_4733,axiom,(+ s__subclass(s__InheritableRelation,s__Abstract) )).++fof(kb_SUMOcache_4734,axiom,(+ s__subclass(s__WeatherProcess,s__Physical) )).++fof(kb_SUMOcache_4735,axiom,(+ s__subclass(s__WeatherProcess,s__Process) )).++fof(kb_SUMOcache_4736,axiom,(+ s__instance(s__WeatherProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_4737,axiom,(+ s__subclass(s__WeatherProcess,s__Entity) )).++fof(kb_SUMOcache_4738,axiom,(+ s__subclass(s__StationaryArtifact,s__Physical) )).++fof(kb_SUMOcache_4739,axiom,(+ s__subclass(s__StationaryArtifact,s__Object) )).++fof(kb_SUMOcache_4740,axiom,(+ s__subclass(s__StationaryArtifact,s__Entity) )).++fof(kb_SUMOcache_4741,axiom,(+ s__subclass(s__UnitOfDuration,s__Quantity) )).++fof(kb_SUMOcache_4742,axiom,(+ s__subclass(s__UnitOfDuration,s__UnitOfMeasure) )).++fof(kb_SUMOcache_4743,axiom,(+ s__subclass(s__UnitOfDuration,s__Entity) )).++fof(kb_SUMOcache_4744,axiom,(+ s__subclass(s__UnitOfDuration,s__Abstract) )).++fof(kb_SUMOcache_4745,axiom,(+ s__subclass(s__UnitOfDuration,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4746,axiom,(+ s__instance(s__UnitOfDuration__t,s__SetOrClass) )).++fof(kb_SUMOcache_4747,axiom,(+ s__instance(s__PhysicalQuantity__t,s__SetOrClass) )).++fof(kb_SUMOcache_4748,axiom,(+ s__subclass(s__IntentionalRelation,s__Entity) )).++fof(kb_SUMOcache_4749,axiom,(+ s__subclass(s__IntentionalRelation,s__Abstract) )).++fof(kb_SUMOcache_4750,axiom,(+ s__subclass(s__PairwiseDisjointClass,s__Abstract) )).++fof(kb_SUMOcache_4751,axiom,(+ s__instance(s__PairwiseDisjointClass__t,s__SetOrClass) )).++fof(kb_SUMOcache_4752,axiom,(+ s__subclass(s__PairwiseDisjointClass,s__Entity) )).++fof(kb_SUMOcache_4753,axiom,(+ s__subclass(s__PartialOrderingRelation,s__Relation) )).++fof(kb_SUMOcache_4754,axiom,(+ s__subclass(s__PartialOrderingRelation,s__InheritableRelation) )).++fof(kb_SUMOcache_4755,axiom,(+ s__subclass(s__PartialOrderingRelation,s__BinaryRelation) )).++fof(kb_SUMOcache_4756,axiom,(+ s__instance(s__PartialOrderingRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_4757,axiom,(+ s__subclass(s__PartialOrderingRelation,s__Abstract) )).++fof(kb_SUMOcache_4758,axiom,(+ s__subclass(s__PartialOrderingRelation,s__Entity) )).++fof(kb_SUMOcache_4759,axiom,(+ s__subclass(s__MilitaryProcess,s__Physical) )).++fof(kb_SUMOcache_4760,axiom,(+ s__instance(s__MilitaryProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_4761,axiom,(+ s__subclass(s__MilitaryProcess,s__Process) )).++fof(kb_SUMOcache_4762,axiom,(+ s__subclass(s__MilitaryProcess,s__IntentionalProcess) )).++fof(kb_SUMOcache_4763,axiom,(+ s__subclass(s__MilitaryProcess,s__Entity) )).++fof(kb_SUMOcache_4764,axiom,(+ s__subclass(s__Impacting,s__Physical) )).++fof(kb_SUMOcache_4765,axiom,(+ s__subclass(s__Impacting,s__Motion) )).++fof(kb_SUMOcache_4766,axiom,(+ s__subclass(s__Impacting,s__Process) )).++fof(kb_SUMOcache_4767,axiom,(+ s__subclass(s__Impacting,s__Translocation) )).++fof(kb_SUMOcache_4768,axiom,(+ s__instance(s__Impacting__t,s__SetOrClass) )).++fof(kb_SUMOcache_4769,axiom,(+ s__subclass(s__Impacting,s__Transfer) )).++fof(kb_SUMOcache_4770,axiom,(+ s__subclass(s__Impacting,s__Entity) )).++fof(kb_SUMOcache_4771,axiom,(+ s__subclass(s__PathologicProcess,s__Physical) )).++fof(kb_SUMOcache_4772,axiom,(+ s__subclass(s__PathologicProcess,s__Process) )).++fof(kb_SUMOcache_4773,axiom,(+ s__subclass(s__PathologicProcess,s__InternalChange) )).++fof(kb_SUMOcache_4774,axiom,(+ s__instance(s__PathologicProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_4775,axiom,(+ s__subclass(s__PathologicProcess,s__Entity) )).++fof(kb_SUMOcache_4776,axiom,(+ s__subclass(s__Confining,s__Physical) )).++fof(kb_SUMOcache_4777,axiom,(+ s__subclass(s__Confining,s__Process) )).++fof(kb_SUMOcache_4778,axiom,(+ s__subclass(s__Confining,s__IntentionalProcess) )).++fof(kb_SUMOcache_4779,axiom,(+ s__instance(s__Confining__t,s__SetOrClass) )).++fof(kb_SUMOcache_4780,axiom,(+ s__subclass(s__Confining,s__Entity) )).++fof(kb_SUMOcache_4781,axiom,(+ s__subclass(s__AngleMeasure,s__Quantity) )).++fof(kb_SUMOcache_4782,axiom,(+ s__subclass(s__AngleMeasure,s__Entity) )).++fof(kb_SUMOcache_4783,axiom,(+ s__subclass(s__AngleMeasure,s__Abstract) )).++fof(kb_SUMOcache_4784,axiom,(+ s__instance(s__AngleMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_4785,axiom,(+ s__subclass(s__AngleMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4786,axiom,(+ s__subclass(s__Matriculation,s__Physical) )).++fof(kb_SUMOcache_4787,axiom,(+ s__subclass(s__Matriculation,s__Process) )).++fof(kb_SUMOcache_4788,axiom,(+ s__subclass(s__Matriculation,s__IntentionalProcess) )).++fof(kb_SUMOcache_4789,axiom,(+ s__subclass(s__Matriculation,s__OrganizationalProcess) )).++fof(kb_SUMOcache_4790,axiom,(+ s__subclass(s__Matriculation,s__Entity) )).++fof(kb_SUMOcache_4791,axiom,(+ s__instance(s__Matriculation__t,s__SetOrClass) )).++fof(kb_SUMOcache_4792,axiom,(+ s__subclass(s__RecreationOrExercise,s__Physical) )).++fof(kb_SUMOcache_4793,axiom,(+ s__subclass(s__RecreationOrExercise,s__Process) )).++fof(kb_SUMOcache_4794,axiom,(+ s__instance(s__RecreationOrExercise__t,s__SetOrClass) )).++fof(kb_SUMOcache_4795,axiom,(+ s__subclass(s__RecreationOrExercise,s__Entity) )).++fof(kb_SUMOcache_4796,axiom,(+ s__subclass(s__Impelling,s__Physical) )).++fof(kb_SUMOcache_4797,axiom,(+ s__subclass(s__Impelling,s__Motion) )).++fof(kb_SUMOcache_4798,axiom,(+ s__subclass(s__Impelling,s__Process) )).++fof(kb_SUMOcache_4799,axiom,(+ s__subclass(s__Impelling,s__Translocation) )).++fof(kb_SUMOcache_4800,axiom,(+ s__instance(s__Impelling__t,s__SetOrClass) )).++fof(kb_SUMOcache_4801,axiom,(+ s__subclass(s__Impelling,s__Entity) )).++fof(kb_SUMOcache_4802,axiom,(+ s__subclass(s__Transportation,s__Physical) )).++fof(kb_SUMOcache_4803,axiom,(+ s__subclass(s__Transportation,s__Motion) )).++fof(kb_SUMOcache_4804,axiom,(+ s__subclass(s__Transportation,s__Process) )).++fof(kb_SUMOcache_4805,axiom,(+ s__subclass(s__Transportation,s__Entity) )).++fof(kb_SUMOcache_4806,axiom,(+ s__instance(s__Transportation__t,s__SetOrClass) )).++fof(kb_SUMOcache_4807,axiom,(+ s__subclass(s__BodyMotion,s__Physical) )).++fof(kb_SUMOcache_4808,axiom,(+ s__instance(s__BodyMotion__t,s__SetOrClass) )).++fof(kb_SUMOcache_4809,axiom,(+ s__subclass(s__BodyMotion,s__Process) )).++fof(kb_SUMOcache_4810,axiom,(+ s__subclass(s__BodyMotion,s__Entity) )).++fof(kb_SUMOcache_4811,axiom,(+ s__subclass(s__ClosedTwoDimensionalFigure,s__StructureAttribute) )).++fof(kb_SUMOcache_4812,axiom,(+ s__subclass(s__ClosedTwoDimensionalFigure,s__GeometricFigure) )).++fof(kb_SUMOcache_4813,axiom,(+ s__subclass(s__ClosedTwoDimensionalFigure,s__ShapeAttribute) )).++fof(kb_SUMOcache_4814,axiom,(+ s__subclass(s__ClosedTwoDimensionalFigure,s__Attribute) )).++fof(kb_SUMOcache_4815,axiom,(+ s__instance(s__ClosedTwoDimensionalFigure__t,s__SetOrClass) )).++fof(kb_SUMOcache_4816,axiom,(+ s__subclass(s__ClosedTwoDimensionalFigure,s__InternalAttribute) )).++fof(kb_SUMOcache_4817,axiom,(+ s__subclass(s__ClosedTwoDimensionalFigure,s__Entity) )).++fof(kb_SUMOcache_4818,axiom,(+ s__subclass(s__ClosedTwoDimensionalFigure,s__Abstract) )).++fof(kb_SUMOcache_4819,axiom,(+ s__subclass(s__Process,s__Entity) )).++fof(kb_SUMOcache_4820,axiom,(+ s__subclass(s__Covering,s__Physical) )).++fof(kb_SUMOcache_4821,axiom,(+ s__subclass(s__Covering,s__Motion) )).++fof(kb_SUMOcache_4822,axiom,(+ s__subclass(s__Covering,s__Process) )).++fof(kb_SUMOcache_4823,axiom,(+ s__subclass(s__Covering,s__Translocation) )).++fof(kb_SUMOcache_4824,axiom,(+ s__instance(s__Covering__t,s__SetOrClass) )).++fof(kb_SUMOcache_4825,axiom,(+ s__subclass(s__Covering,s__Transfer) )).++fof(kb_SUMOcache_4826,axiom,(+ s__subclass(s__Covering,s__Entity) )).++fof(kb_SUMOcache_4827,axiom,(+ s__subclass(s__Bacterium,s__Physical) )).++fof(kb_SUMOcache_4828,axiom,(+ s__subclass(s__Bacterium,s__OrganicObject) )).++fof(kb_SUMOcache_4829,axiom,(+ s__subclass(s__Bacterium,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4830,axiom,(+ s__instance(s__Bacterium__t,s__SetOrClass) )).++fof(kb_SUMOcache_4831,axiom,(+ s__subclass(s__Bacterium,s__Agent) )).++fof(kb_SUMOcache_4832,axiom,(+ s__subclass(s__Bacterium,s__OrganicThing) )).++fof(kb_SUMOcache_4833,axiom,(+ s__subclass(s__Bacterium,s__Organism) )).++fof(kb_SUMOcache_4834,axiom,(+ s__subclass(s__Bacterium,s__Object) )).++fof(kb_SUMOcache_4835,axiom,(+ s__subclass(s__Bacterium,s__CorpuscularObject) )).++fof(kb_SUMOcache_4836,axiom,(+ s__subclass(s__Bacterium,s__Entity) )).++fof(kb_SUMOcache_4837,axiom,(+ s__subclass(s__House,s__Physical) )).++fof(kb_SUMOcache_4838,axiom,(+ s__subclass(s__House,s__Artifact) )).++fof(kb_SUMOcache_4839,axiom,(+ s__subclass(s__House,s__PermanentResidence) )).++fof(kb_SUMOcache_4840,axiom,(+ s__subclass(s__House,s__Building) )).++fof(kb_SUMOcache_4841,axiom,(+ s__subclass(s__House,s__StationaryArtifact) )).++fof(kb_SUMOcache_4842,axiom,(+ s__subclass(s__House,s__Object) )).++fof(kb_SUMOcache_4843,axiom,(+ s__instance(s__House__t,s__SetOrClass) )).++fof(kb_SUMOcache_4844,axiom,(+ s__subclass(s__House,s__Entity) )).++fof(kb_SUMOcache_4845,axiom,(+ s__subclass(s__House,s__Residence) )).++fof(kb_SUMOcache_4846,axiom,(+ s__subclass(s__Borrowing,s__Physical) )).++fof(kb_SUMOcache_4847,axiom,(+ s__instance(s__Borrowing__t,s__SetOrClass) )).++fof(kb_SUMOcache_4848,axiom,(+ s__subclass(s__Borrowing,s__SocialInteraction) )).++fof(kb_SUMOcache_4849,axiom,(+ s__subclass(s__Borrowing,s__Process) )).++fof(kb_SUMOcache_4850,axiom,(+ s__subclass(s__Borrowing,s__ChangeOfPossession) )).++fof(kb_SUMOcache_4851,axiom,(+ s__subclass(s__Borrowing,s__IntentionalProcess) )).++fof(kb_SUMOcache_4852,axiom,(+ s__subclass(s__Borrowing,s__Entity) )).++fof(kb_SUMOcache_4853,axiom,(+ s__subclass(s__Man,s__Hominid) )).++fof(kb_SUMOcache_4854,axiom,(+ s__subclass(s__Man,s__OrganicObject) )).++fof(kb_SUMOcache_4855,axiom,(+ s__subclass(s__Man,s__CognitiveAgent) )).++fof(kb_SUMOcache_4856,axiom,(+ s__instance(s__Man__t,s__SetOrClass) )).++fof(kb_SUMOcache_4857,axiom,(+ s__subclass(s__Man,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4858,axiom,(+ s__subclass(s__Man,s__Agent) )).++fof(kb_SUMOcache_4859,axiom,(+ s__subclass(s__Man,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_4860,axiom,(+ s__subclass(s__Man,s__Animal) )).++fof(kb_SUMOcache_4861,axiom,(+ s__subclass(s__Man,s__Physical) )).++fof(kb_SUMOcache_4862,axiom,(+ s__subclass(s__Man,s__SentientAgent) )).++fof(kb_SUMOcache_4863,axiom,(+ s__subclass(s__Man,s__Vertebrate) )).++fof(kb_SUMOcache_4864,axiom,(+ s__subclass(s__Man,s__Mammal) )).++fof(kb_SUMOcache_4865,axiom,(+ s__subclass(s__Man,s__OrganicThing) )).++fof(kb_SUMOcache_4866,axiom,(+ s__subclass(s__Man,s__Primate) )).++fof(kb_SUMOcache_4867,axiom,(+ s__subclass(s__Man,s__Organism) )).++fof(kb_SUMOcache_4868,axiom,(+ s__subclass(s__Man,s__CorpuscularObject) )).++fof(kb_SUMOcache_4869,axiom,(+ s__subclass(s__Man,s__Object) )).++fof(kb_SUMOcache_4870,axiom,(+ s__subclass(s__Man,s__Entity) )).++fof(kb_SUMOcache_4871,axiom,(+ s__subclass(s__Hominid,s__OrganicObject) )).++fof(kb_SUMOcache_4872,axiom,(+ s__subclass(s__Hominid,s__Animal) )).++fof(kb_SUMOcache_4873,axiom,(+ s__subclass(s__Hominid,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_4874,axiom,(+ s__subclass(s__Hominid,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4875,axiom,(+ s__instance(s__Hominid__t,s__SetOrClass) )).++fof(kb_SUMOcache_4876,axiom,(+ s__subclass(s__Hominid,s__Agent) )).++fof(kb_SUMOcache_4877,axiom,(+ s__subclass(s__Hominid,s__Physical) )).++fof(kb_SUMOcache_4878,axiom,(+ s__subclass(s__Hominid,s__Vertebrate) )).++fof(kb_SUMOcache_4879,axiom,(+ s__subclass(s__Hominid,s__Mammal) )).++fof(kb_SUMOcache_4880,axiom,(+ s__subclass(s__Hominid,s__OrganicThing) )).++fof(kb_SUMOcache_4881,axiom,(+ s__subclass(s__Hominid,s__Organism) )).++fof(kb_SUMOcache_4882,axiom,(+ s__subclass(s__Hominid,s__CorpuscularObject) )).++fof(kb_SUMOcache_4883,axiom,(+ s__subclass(s__Hominid,s__Object) )).++fof(kb_SUMOcache_4884,axiom,(+ s__subclass(s__Hominid,s__Entity) )).++fof(kb_SUMOcache_4885,axiom,(+ s__subclass(s__Listening,s__Physical) )).++fof(kb_SUMOcache_4886,axiom,(+ s__subclass(s__Listening,s__Perception) )).++fof(kb_SUMOcache_4887,axiom,(+ s__subclass(s__Listening,s__Process) )).++fof(kb_SUMOcache_4888,axiom,(+ s__instance(s__Listening__t,s__SetOrClass) )).++fof(kb_SUMOcache_4889,axiom,(+ s__subclass(s__Listening,s__PsychologicalProcess) )).++fof(kb_SUMOcache_4890,axiom,(+ s__subclass(s__Listening,s__BiologicalProcess) )).++fof(kb_SUMOcache_4891,axiom,(+ s__subclass(s__Listening,s__InternalChange) )).++fof(kb_SUMOcache_4892,axiom,(+ s__subclass(s__Listening,s__Entity) )).++fof(kb_SUMOcache_4893,axiom,(+ s__subclass(s__Suspension,s__Physical) )).++fof(kb_SUMOcache_4894,axiom,(+ s__instance(s__Suspension__t,s__SetOrClass) )).++fof(kb_SUMOcache_4895,axiom,(+ s__subclass(s__Suspension,s__Mixture) )).++fof(kb_SUMOcache_4896,axiom,(+ s__subclass(s__Suspension,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4897,axiom,(+ s__subclass(s__Suspension,s__Substance) )).++fof(kb_SUMOcache_4898,axiom,(+ s__subclass(s__Suspension,s__Object) )).++fof(kb_SUMOcache_4899,axiom,(+ s__subclass(s__Suspension,s__Entity) )).++fof(kb_SUMOcache_4900,axiom,(+ s__subclass(s__ProbabilityRelation,s__Entity) )).++fof(kb_SUMOcache_4901,axiom,(+ s__instance(s__ProbabilityRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_4902,axiom,(+ s__subclass(s__ProbabilityRelation,s__Abstract) )).++fof(kb_SUMOcache_4903,axiom,(+ s__subclass(s__Election,s__Physical) )).++fof(kb_SUMOcache_4904,axiom,(+ s__instance(s__Election__t,s__SetOrClass) )).++fof(kb_SUMOcache_4905,axiom,(+ s__subclass(s__Election,s__Process) )).++fof(kb_SUMOcache_4906,axiom,(+ s__subclass(s__Election,s__IntentionalProcess) )).++fof(kb_SUMOcache_4907,axiom,(+ s__subclass(s__Election,s__Entity) )).++fof(kb_SUMOcache_4908,axiom,(+ s__subclass(s__Product,s__Physical) )).++fof(kb_SUMOcache_4909,axiom,(+ s__subclass(s__Product,s__Object) )).++fof(kb_SUMOcache_4910,axiom,(+ s__instance(s__Product__t,s__SetOrClass) )).++fof(kb_SUMOcache_4911,axiom,(+ s__subclass(s__Product,s__Entity) )).++fof(kb_SUMOcache_4912,axiom,(+ s__subclass(s__Replication,s__Physical) )).++fof(kb_SUMOcache_4913,axiom,(+ s__instance(s__Replication__t,s__SetOrClass) )).++fof(kb_SUMOcache_4914,axiom,(+ s__subclass(s__Replication,s__PhysiologicProcess) )).++fof(kb_SUMOcache_4915,axiom,(+ s__subclass(s__Replication,s__Process) )).++fof(kb_SUMOcache_4916,axiom,(+ s__subclass(s__Replication,s__InternalChange) )).++fof(kb_SUMOcache_4917,axiom,(+ s__subclass(s__Replication,s__BiologicalProcess) )).++fof(kb_SUMOcache_4918,axiom,(+ s__subclass(s__Replication,s__Entity) )).++fof(kb_SUMOcache_4919,axiom,(+ s__subclass(s__CurrencyMeasure,s__Quantity) )).++fof(kb_SUMOcache_4920,axiom,(+ s__instance(s__CurrencyMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_4921,axiom,(+ s__subclass(s__CurrencyMeasure,s__Entity) )).++fof(kb_SUMOcache_4922,axiom,(+ s__subclass(s__CurrencyMeasure,s__Abstract) )).++fof(kb_SUMOcache_4923,axiom,(+ s__subclass(s__CurrencyMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_4924,axiom,(+ s__subclass(s__Number,s__Entity) )).++fof(kb_SUMOcache_4925,axiom,(+ s__subclass(s__Number,s__Abstract) )).++fof(kb_SUMOcache_4926,axiom,(+ s__subclass(s__TrichotomizingRelation,s__Relation) )).++fof(kb_SUMOcache_4927,axiom,(+ s__subclass(s__TrichotomizingRelation,s__InheritableRelation) )).++fof(kb_SUMOcache_4928,axiom,(+ s__subclass(s__TrichotomizingRelation,s__Abstract) )).++fof(kb_SUMOcache_4929,axiom,(+ s__instance(s__TrichotomizingRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_4930,axiom,(+ s__subclass(s__TrichotomizingRelation,s__Entity) )).++fof(kb_SUMOcache_4931,axiom,(+ s__subclass(s__Game,s__Physical) )).++fof(kb_SUMOcache_4932,axiom,(+ s__subclass(s__Game,s__SocialInteraction) )).++fof(kb_SUMOcache_4933,axiom,(+ s__subclass(s__Game,s__Process) )).++fof(kb_SUMOcache_4934,axiom,(+ s__subclass(s__Game,s__IntentionalProcess) )).++fof(kb_SUMOcache_4935,axiom,(+ s__subclass(s__Game,s__Entity) )).++fof(kb_SUMOcache_4936,axiom,(+ s__instance(s__Game__t,s__SetOrClass) )).++fof(kb_SUMOcache_4937,axiom,(+ s__subclass(s__Poisoning,s__Physical) )).++fof(kb_SUMOcache_4938,axiom,(+ s__subclass(s__Poisoning,s__Damaging) )).++fof(kb_SUMOcache_4939,axiom,(+ s__instance(s__Damaging__t,s__SetOrClass) )).++fof(kb_SUMOcache_4940,axiom,(+ s__subclass(s__Poisoning,s__Process) )).++fof(kb_SUMOcache_4941,axiom,(+ s__subclass(s__Poisoning,s__InternalChange) )).++fof(kb_SUMOcache_4942,axiom,(+ s__subclass(s__Poisoning,s__BiologicalProcess) )).++fof(kb_SUMOcache_4943,axiom,(+ s__instance(s__Poisoning__t,s__SetOrClass) )).++fof(kb_SUMOcache_4944,axiom,(+ s__subclass(s__Poisoning,s__PathologicProcess) )).++fof(kb_SUMOcache_4945,axiom,(+ s__subclass(s__Poisoning,s__Entity) )).++fof(kb_SUMOcache_4946,axiom,(+ s__subclass(s__SubjectiveAssessmentAttribute,s__Attribute) )).++fof(kb_SUMOcache_4947,axiom,(+ s__subclass(s__SubjectiveAssessmentAttribute,s__RelationalAttribute) )).++fof(kb_SUMOcache_4948,axiom,(+ s__subclass(s__SubjectiveAssessmentAttribute,s__Abstract) )).++fof(kb_SUMOcache_4949,axiom,(+ s__instance(s__SubjectiveAssessmentAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_4950,axiom,(+ s__subclass(s__SubjectiveAssessmentAttribute,s__Entity) )).++fof(kb_SUMOcache_4951,axiom,(+ s__subclass(s__ArtWork,s__Physical) )).++fof(kb_SUMOcache_4952,axiom,(+ s__subclass(s__ArtWork,s__Object) )).++fof(kb_SUMOcache_4953,axiom,(+ s__instance(s__ArtWork__t,s__SetOrClass) )).++fof(kb_SUMOcache_4954,axiom,(+ s__subclass(s__ArtWork,s__Entity) )).++fof(kb_SUMOcache_4955,axiom,(+ s__subclass(s__Cooling,s__Physical) )).++fof(kb_SUMOcache_4956,axiom,(+ s__subclass(s__Cooling,s__QuantityChange) )).++fof(kb_SUMOcache_4957,axiom,(+ s__instance(s__Cooling__t,s__SetOrClass) )).++fof(kb_SUMOcache_4958,axiom,(+ s__instance(s__QuantityChange__t,s__SetOrClass) )).++fof(kb_SUMOcache_4959,axiom,(+ s__subclass(s__Cooling,s__Process) )).++fof(kb_SUMOcache_4960,axiom,(+ s__subclass(s__Cooling,s__InternalChange) )).++fof(kb_SUMOcache_4961,axiom,(+ s__subclass(s__Cooling,s__Entity) )).++fof(kb_SUMOcache_4962,axiom,(+ s__subclass(s__AnimalSubstance,s__Physical) )).++fof(kb_SUMOcache_4963,axiom,(+ s__instance(s__AnimalSubstance__t,s__SetOrClass) )).++fof(kb_SUMOcache_4964,axiom,(+ s__subclass(s__AnimalSubstance,s__SelfConnectedObject) )).++fof(kb_SUMOcache_4965,axiom,(+ s__subclass(s__AnimalSubstance,s__Substance) )).++fof(kb_SUMOcache_4966,axiom,(+ s__subclass(s__AnimalSubstance,s__Object) )).++fof(kb_SUMOcache_4967,axiom,(+ s__subclass(s__AnimalSubstance,s__Entity) )).++fof(kb_SUMOcache_4968,axiom,(+ s__subclass(s__TransportationDevice,s__Physical) )).++fof(kb_SUMOcache_4969,axiom,(+ s__subclass(s__TransportationDevice,s__Artifact) )).++fof(kb_SUMOcache_4970,axiom,(+ s__instance(s__TransportationDevice__t,s__SetOrClass) )).++fof(kb_SUMOcache_4971,axiom,(+ s__instance(s__Artifact__t,s__SetOrClass) )).++fof(kb_SUMOcache_4972,axiom,(+ s__subclass(s__TransportationDevice,s__Object) )).++fof(kb_SUMOcache_4973,axiom,(+ s__subclass(s__TransportationDevice,s__Entity) )).++fof(kb_SUMOcache_4974,axiom,(+ s__subclass(s__OrganOrTissueProcess,s__Physical) )).++fof(kb_SUMOcache_4975,axiom,(+ s__subclass(s__OrganOrTissueProcess,s__PhysiologicProcess) )).++fof(kb_SUMOcache_4976,axiom,(+ s__subclass(s__OrganOrTissueProcess,s__Process) )).++fof(kb_SUMOcache_4977,axiom,(+ s__subclass(s__OrganOrTissueProcess,s__InternalChange) )).++fof(kb_SUMOcache_4978,axiom,(+ s__subclass(s__OrganOrTissueProcess,s__BiologicalProcess) )).++fof(kb_SUMOcache_4979,axiom,(+ s__instance(s__OrganOrTissueProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_4980,axiom,(+ s__subclass(s__OrganOrTissueProcess,s__Entity) )).++fof(kb_SUMOcache_4981,axiom,(+ s__subclass(s__Poking,s__Physical) )).++fof(kb_SUMOcache_4982,axiom,(+ s__subclass(s__Poking,s__Process) )).++fof(kb_SUMOcache_4983,axiom,(+ s__subclass(s__Poking,s__Entity) )).++fof(kb_SUMOcache_4984,axiom,(+ s__instance(s__Poking__t,s__SetOrClass) )).++fof(kb_SUMOcache_4985,axiom,(+ s__subclass(s__Cutting,s__Physical) )).++fof(kb_SUMOcache_4986,axiom,(+ s__subclass(s__Cutting,s__Process) )).++fof(kb_SUMOcache_4987,axiom,(+ s__subclass(s__Cutting,s__IntentionalProcess) )).++fof(kb_SUMOcache_4988,axiom,(+ s__instance(s__Cutting__t,s__SetOrClass) )).++fof(kb_SUMOcache_4989,axiom,(+ s__subclass(s__Cutting,s__Entity) )).++fof(kb_SUMOcache_4990,axiom,(+ s__subclass(s__Stating,s__Physical) )).++fof(kb_SUMOcache_4991,axiom,(+ s__subclass(s__Stating,s__SocialInteraction) )).++fof(kb_SUMOcache_4992,axiom,(+ s__subclass(s__Stating,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_4993,axiom,(+ s__subclass(s__Stating,s__Process) )).++fof(kb_SUMOcache_4994,axiom,(+ s__subclass(s__Stating,s__Communication) )).++fof(kb_SUMOcache_4995,axiom,(+ s__subclass(s__Stating,s__IntentionalProcess) )).++fof(kb_SUMOcache_4996,axiom,(+ s__subclass(s__Stating,s__ContentBearingProcess) )).++fof(kb_SUMOcache_4997,axiom,(+ s__subclass(s__Stating,s__Entity) )).++fof(kb_SUMOcache_4998,axiom,(+ s__instance(s__Stating__t,s__SetOrClass) )).++fof(kb_SUMOcache_4999,axiom,(+ s__subclass(s__BodyCavity,s__Physical) )).++fof(kb_SUMOcache_5000,axiom,(+ s__subclass(s__BodyCavity,s__OrganicObject) )).++fof(kb_SUMOcache_5001,axiom,(+ s__subclass(s__BodyCavity,s__AnatomicalStructure) )).++fof(kb_SUMOcache_5002,axiom,(+ s__subclass(s__BodyCavity,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5003,axiom,(+ s__instance(s__BodyCavity__t,s__SetOrClass) )).++fof(kb_SUMOcache_5004,axiom,(+ s__subclass(s__BodyCavity,s__OrganicThing) )).++fof(kb_SUMOcache_5005,axiom,(+ s__subclass(s__BodyCavity,s__Object) )).++fof(kb_SUMOcache_5006,axiom,(+ s__subclass(s__BodyCavity,s__CorpuscularObject) )).++fof(kb_SUMOcache_5007,axiom,(+ s__subclass(s__BodyCavity,s__Entity) )).++fof(kb_SUMOcache_5008,axiom,(+ s__subclass(s__QuaternaryFunction,s__Relation) )).++fof(kb_SUMOcache_5009,axiom,(+ s__subclass(s__QuaternaryFunction,s__SingleValuedRelation) )).++fof(kb_SUMOcache_5010,axiom,(+ s__subclass(s__QuaternaryFunction,s__Entity) )).++fof(kb_SUMOcache_5011,axiom,(+ s__instance(s__QuaternaryFunction__t,s__SetOrClass) )).++fof(kb_SUMOcache_5012,axiom,(+ s__subclass(s__QuaternaryFunction,s__Abstract) )).++fof(kb_SUMOcache_5013,axiom,(+ s__subclass(s__Sunday,s__Quantity) )).++fof(kb_SUMOcache_5014,axiom,(+ s__subclass(s__Sunday,s__ConstantQuantity) )).++fof(kb_SUMOcache_5015,axiom,(+ s__subclass(s__Sunday,s__TimeMeasure) )).++fof(kb_SUMOcache_5016,axiom,(+ s__subclass(s__Sunday,s__TimePosition) )).++fof(kb_SUMOcache_5017,axiom,(+ s__instance(s__Sunday__t,s__SetOrClass) )).++fof(kb_SUMOcache_5018,axiom,(+ s__instance(s__TimePosition__t,s__SetOrClass) )).++fof(kb_SUMOcache_5019,axiom,(+ s__subclass(s__Sunday,s__TimeInterval) )).++fof(kb_SUMOcache_5020,axiom,(+ s__subclass(s__Sunday,s__Entity) )).++fof(kb_SUMOcache_5021,axiom,(+ s__subclass(s__Sunday,s__Abstract) )).++fof(kb_SUMOcache_5022,axiom,(+ s__subclass(s__Sunday,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5023,axiom,(+ s__subclass(s__Week,s__ConstantQuantity) )).++fof(kb_SUMOcache_5024,axiom,(+ s__instance(s__Week__t,s__SetOrClass) )).++fof(kb_SUMOcache_5025,axiom,(+ s__subclass(s__Week,s__Quantity) )).++fof(kb_SUMOcache_5026,axiom,(+ s__subclass(s__Week,s__TimeMeasure) )).++fof(kb_SUMOcache_5027,axiom,(+ s__subclass(s__Week,s__TimePosition) )).++fof(kb_SUMOcache_5028,axiom,(+ s__subclass(s__Week,s__Entity) )).++fof(kb_SUMOcache_5029,axiom,(+ s__subclass(s__Week,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5030,axiom,(+ s__subclass(s__Week,s__Abstract) )).++fof(kb_SUMOcache_5031,axiom,(+ s__subclass(s__RegulatoryProcess,s__Physical) )).++fof(kb_SUMOcache_5032,axiom,(+ s__subclass(s__RegulatoryProcess,s__Process) )).++fof(kb_SUMOcache_5033,axiom,(+ s__subclass(s__RegulatoryProcess,s__IntentionalProcess) )).++fof(kb_SUMOcache_5034,axiom,(+ s__subclass(s__RegulatoryProcess,s__Entity) )).++fof(kb_SUMOcache_5035,axiom,(+ s__instance(s__RegulatoryProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_5036,axiom,(+ s__subclass(s__Motion,s__Physical) )).++fof(kb_SUMOcache_5037,axiom,(+ s__subclass(s__Motion,s__Entity) )).++fof(kb_SUMOcache_5038,axiom,(+ s__subclass(s__Fabric,s__Physical) )).++fof(kb_SUMOcache_5039,axiom,(+ s__subclass(s__Fabric,s__Object) )).++fof(kb_SUMOcache_5040,axiom,(+ s__subclass(s__Fabric,s__Entity) )).++fof(kb_SUMOcache_5041,axiom,(+ s__instance(s__Fabric__t,s__SetOrClass) )).++fof(kb_SUMOcache_5042,axiom,(+ s__subclass(s__CompoundSubstance,s__Physical) )).++fof(kb_SUMOcache_5043,axiom,(+ s__instance(s__CompoundSubstance__t,s__SetOrClass) )).++fof(kb_SUMOcache_5044,axiom,(+ s__subclass(s__CompoundSubstance,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5045,axiom,(+ s__subclass(s__CompoundSubstance,s__Substance) )).++fof(kb_SUMOcache_5046,axiom,(+ s__subclass(s__CompoundSubstance,s__Object) )).++fof(kb_SUMOcache_5047,axiom,(+ s__subclass(s__CompoundSubstance,s__Entity) )).++fof(kb_SUMOcache_5048,axiom,(+ s__subclass(s__Digesting,s__Physical) )).++fof(kb_SUMOcache_5049,axiom,(+ s__subclass(s__Digesting,s__PhysiologicProcess) )).++fof(kb_SUMOcache_5050,axiom,(+ s__instance(s__Digesting__t,s__SetOrClass) )).++fof(kb_SUMOcache_5051,axiom,(+ s__subclass(s__Digesting,s__Process) )).++fof(kb_SUMOcache_5052,axiom,(+ s__subclass(s__Digesting,s__InternalChange) )).++fof(kb_SUMOcache_5053,axiom,(+ s__subclass(s__Digesting,s__BiologicalProcess) )).++fof(kb_SUMOcache_5054,axiom,(+ s__subclass(s__Digesting,s__Entity) )).++fof(kb_SUMOcache_5055,axiom,(+ s__subclass(s__WarmBloodedVertebrate,s__Physical) )).++fof(kb_SUMOcache_5056,axiom,(+ s__subclass(s__WarmBloodedVertebrate,s__OrganicObject) )).++fof(kb_SUMOcache_5057,axiom,(+ s__subclass(s__WarmBloodedVertebrate,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5058,axiom,(+ s__subclass(s__WarmBloodedVertebrate,s__Agent) )).++fof(kb_SUMOcache_5059,axiom,(+ s__instance(s__WarmBloodedVertebrate__t,s__SetOrClass) )).++fof(kb_SUMOcache_5060,axiom,(+ s__subclass(s__WarmBloodedVertebrate,s__Animal) )).++fof(kb_SUMOcache_5061,axiom,(+ s__subclass(s__WarmBloodedVertebrate,s__OrganicThing) )).++fof(kb_SUMOcache_5062,axiom,(+ s__subclass(s__WarmBloodedVertebrate,s__Organism) )).++fof(kb_SUMOcache_5063,axiom,(+ s__subclass(s__WarmBloodedVertebrate,s__CorpuscularObject) )).++fof(kb_SUMOcache_5064,axiom,(+ s__subclass(s__WarmBloodedVertebrate,s__Object) )).++fof(kb_SUMOcache_5065,axiom,(+ s__subclass(s__WarmBloodedVertebrate,s__Entity) )).++fof(kb_SUMOcache_5066,axiom,(+ s__subclass(s__Increasing,s__Physical) )).++fof(kb_SUMOcache_5067,axiom,(+ s__subclass(s__Increasing,s__Process) )).++fof(kb_SUMOcache_5068,axiom,(+ s__subclass(s__Increasing,s__InternalChange) )).++fof(kb_SUMOcache_5069,axiom,(+ s__instance(s__Increasing__t,s__SetOrClass) )).++fof(kb_SUMOcache_5070,axiom,(+ s__subclass(s__Increasing,s__Entity) )).++fof(kb_SUMOcache_5071,axiom,(+ s__subclass(s__Day,s__ConstantQuantity) )).++fof(kb_SUMOcache_5072,axiom,(+ s__subclass(s__Day,s__Quantity) )).++fof(kb_SUMOcache_5073,axiom,(+ s__subclass(s__Day,s__TimeMeasure) )).++fof(kb_SUMOcache_5074,axiom,(+ s__subclass(s__Day,s__TimePosition) )).++fof(kb_SUMOcache_5075,axiom,(+ s__subclass(s__Day,s__Entity) )).++fof(kb_SUMOcache_5076,axiom,(+ s__subclass(s__Day,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5077,axiom,(+ s__subclass(s__Day,s__Abstract) )).++fof(kb_SUMOcache_5078,axiom,(+ s__instance(s__Day__t,s__SetOrClass) )).++fof(kb_SUMOcache_5079,axiom,(+ s__subclass(s__DiagnosticProcess,s__Physical) )).++fof(kb_SUMOcache_5080,axiom,(+ s__subclass(s__DiagnosticProcess,s__IntentionalPsychologicalProcess) )).++fof(kb_SUMOcache_5081,axiom,(+ s__subclass(s__DiagnosticProcess,s__Process) )).++fof(kb_SUMOcache_5082,axiom,(+ s__instance(s__DiagnosticProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_5083,axiom,(+ s__subclass(s__DiagnosticProcess,s__PsychologicalProcess) )).++fof(kb_SUMOcache_5084,axiom,(+ s__subclass(s__DiagnosticProcess,s__InternalChange) )).++fof(kb_SUMOcache_5085,axiom,(+ s__subclass(s__DiagnosticProcess,s__BiologicalProcess) )).++fof(kb_SUMOcache_5086,axiom,(+ s__subclass(s__DiagnosticProcess,s__IntentionalProcess) )).++fof(kb_SUMOcache_5087,axiom,(+ s__subclass(s__DiagnosticProcess,s__Entity) )).++fof(kb_SUMOcache_5088,axiom,(+ s__subclass(s__PsychologicalDysfunction,s__BiologicalAttribute) )).++fof(kb_SUMOcache_5089,axiom,(+ s__subclass(s__PsychologicalDysfunction,s__Attribute) )).++fof(kb_SUMOcache_5090,axiom,(+ s__subclass(s__PsychologicalDysfunction,s__InternalAttribute) )).++fof(kb_SUMOcache_5091,axiom,(+ s__subclass(s__PsychologicalDysfunction,s__Entity) )).++fof(kb_SUMOcache_5092,axiom,(+ s__instance(s__PsychologicalDysfunction__t,s__SetOrClass) )).++fof(kb_SUMOcache_5093,axiom,(+ s__subclass(s__PsychologicalDysfunction,s__Abstract) )).++fof(kb_SUMOcache_5094,axiom,(+ s__subclass(s__UnilateralGetting,s__Physical) )).++fof(kb_SUMOcache_5095,axiom,(+ s__subclass(s__UnilateralGetting,s__SocialInteraction) )).++fof(kb_SUMOcache_5096,axiom,(+ s__subclass(s__UnilateralGetting,s__Process) )).++fof(kb_SUMOcache_5097,axiom,(+ s__subclass(s__UnilateralGetting,s__ChangeOfPossession) )).++fof(kb_SUMOcache_5098,axiom,(+ s__subclass(s__UnilateralGetting,s__IntentionalProcess) )).++fof(kb_SUMOcache_5099,axiom,(+ s__instance(s__UnilateralGetting__t,s__SetOrClass) )).++fof(kb_SUMOcache_5100,axiom,(+ s__instance(s__IntentionalProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_5101,axiom,(+ s__subclass(s__UnilateralGetting,s__Entity) )).++fof(kb_SUMOcache_5102,axiom,(+ s__subclass(s__Looking,s__Physical) )).++fof(kb_SUMOcache_5103,axiom,(+ s__instance(s__Looking__t,s__SetOrClass) )).++fof(kb_SUMOcache_5104,axiom,(+ s__subclass(s__Looking,s__Perception) )).++fof(kb_SUMOcache_5105,axiom,(+ s__subclass(s__Looking,s__Process) )).++fof(kb_SUMOcache_5106,axiom,(+ s__subclass(s__Looking,s__PsychologicalProcess) )).++fof(kb_SUMOcache_5107,axiom,(+ s__subclass(s__Looking,s__BiologicalProcess) )).++fof(kb_SUMOcache_5108,axiom,(+ s__subclass(s__Looking,s__InternalChange) )).++fof(kb_SUMOcache_5109,axiom,(+ s__subclass(s__Looking,s__Entity) )).++fof(kb_SUMOcache_5110,axiom,(+ s__subclass(s__Selecting,s__Physical) )).++fof(kb_SUMOcache_5111,axiom,(+ s__subclass(s__Selecting,s__Process) )).++fof(kb_SUMOcache_5112,axiom,(+ s__subclass(s__Selecting,s__PsychologicalProcess) )).++fof(kb_SUMOcache_5113,axiom,(+ s__subclass(s__Selecting,s__InternalChange) )).++fof(kb_SUMOcache_5114,axiom,(+ s__instance(s__Selecting__t,s__SetOrClass) )).++fof(kb_SUMOcache_5115,axiom,(+ s__subclass(s__Selecting,s__BiologicalProcess) )).++fof(kb_SUMOcache_5116,axiom,(+ s__subclass(s__Selecting,s__IntentionalProcess) )).++fof(kb_SUMOcache_5117,axiom,(+ s__subclass(s__Selecting,s__Entity) )).++fof(kb_SUMOcache_5118,axiom,(+ s__subclass(s__May,s__Quantity) )).++fof(kb_SUMOcache_5119,axiom,(+ s__subclass(s__May,s__ConstantQuantity) )).++fof(kb_SUMOcache_5120,axiom,(+ s__instance(s__May__t,s__SetOrClass) )).++fof(kb_SUMOcache_5121,axiom,(+ s__subclass(s__May,s__TimeMeasure) )).++fof(kb_SUMOcache_5122,axiom,(+ s__subclass(s__May,s__TimeInterval) )).++fof(kb_SUMOcache_5123,axiom,(+ s__subclass(s__May,s__TimePosition) )).++fof(kb_SUMOcache_5124,axiom,(+ s__subclass(s__May,s__Entity) )).++fof(kb_SUMOcache_5125,axiom,(+ s__subclass(s__May,s__Abstract) )).++fof(kb_SUMOcache_5126,axiom,(+ s__subclass(s__May,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5127,axiom,(+ s__subclass(s__November,s__Quantity) )).++fof(kb_SUMOcache_5128,axiom,(+ s__subclass(s__November,s__ConstantQuantity) )).++fof(kb_SUMOcache_5129,axiom,(+ s__instance(s__November__t,s__SetOrClass) )).++fof(kb_SUMOcache_5130,axiom,(+ s__subclass(s__November,s__TimeMeasure) )).++fof(kb_SUMOcache_5131,axiom,(+ s__subclass(s__November,s__TimeInterval) )).++fof(kb_SUMOcache_5132,axiom,(+ s__subclass(s__November,s__TimePosition) )).++fof(kb_SUMOcache_5133,axiom,(+ s__subclass(s__November,s__Entity) )).++fof(kb_SUMOcache_5134,axiom,(+ s__subclass(s__November,s__Abstract) )).++fof(kb_SUMOcache_5135,axiom,(+ s__subclass(s__November,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5136,axiom,(+ s__subclass(s__Remembering,s__Physical) )).++fof(kb_SUMOcache_5137,axiom,(+ s__instance(s__Remembering__t,s__SetOrClass) )).++fof(kb_SUMOcache_5138,axiom,(+ s__subclass(s__Remembering,s__Process) )).++fof(kb_SUMOcache_5139,axiom,(+ s__subclass(s__Remembering,s__InternalChange) )).++fof(kb_SUMOcache_5140,axiom,(+ s__subclass(s__Remembering,s__BiologicalProcess) )).++fof(kb_SUMOcache_5141,axiom,(+ s__subclass(s__Remembering,s__Entity) )).++fof(kb_SUMOcache_5142,axiom,(+ s__subclass(s__TimeZone,s__Attribute) )).++fof(kb_SUMOcache_5143,axiom,(+ s__instance(s__TimeZone__t,s__SetOrClass) )).++fof(kb_SUMOcache_5144,axiom,(+ s__subclass(s__TimeZone,s__Abstract) )).++fof(kb_SUMOcache_5145,axiom,(+ s__subclass(s__TimeZone,s__Entity) )).++fof(kb_SUMOcache_5146,axiom,(+ s__subclass(s__ServiceProcess,s__Physical) )).++fof(kb_SUMOcache_5147,axiom,(+ s__instance(s__ServiceProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_5148,axiom,(+ s__subclass(s__ServiceProcess,s__Process) )).++fof(kb_SUMOcache_5149,axiom,(+ s__subclass(s__ServiceProcess,s__IntentionalProcess) )).++fof(kb_SUMOcache_5150,axiom,(+ s__subclass(s__ServiceProcess,s__Entity) )).++fof(kb_SUMOcache_5151,axiom,(+ s__subclass(s__SocialUnit,s__Physical) )).++fof(kb_SUMOcache_5152,axiom,(+ s__subclass(s__SocialUnit,s__Collection) )).++fof(kb_SUMOcache_5153,axiom,(+ s__instance(s__SocialUnit__t,s__SetOrClass) )).++fof(kb_SUMOcache_5154,axiom,(+ s__instance(s__Collection__t,s__SetOrClass) )).++fof(kb_SUMOcache_5155,axiom,(+ s__subclass(s__SocialUnit,s__Agent) )).++fof(kb_SUMOcache_5156,axiom,(+ s__subclass(s__SocialUnit,s__Object) )).++fof(kb_SUMOcache_5157,axiom,(+ s__subclass(s__SocialUnit,s__Group) )).++fof(kb_SUMOcache_5158,axiom,(+ s__subclass(s__SocialUnit,s__Entity) )).++fof(kb_SUMOcache_5159,axiom,(+ s__subclass(s__Mixture,s__Physical) )).++fof(kb_SUMOcache_5160,axiom,(+ s__subclass(s__Mixture,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5161,axiom,(+ s__subclass(s__Mixture,s__Object) )).++fof(kb_SUMOcache_5162,axiom,(+ s__subclass(s__Mixture,s__Entity) )).++fof(kb_SUMOcache_5163,axiom,(+ s__subclass(s__Detaching,s__Physical) )).++fof(kb_SUMOcache_5164,axiom,(+ s__subclass(s__Detaching,s__Process) )).++fof(kb_SUMOcache_5165,axiom,(+ s__instance(s__Detaching__t,s__SetOrClass) )).++fof(kb_SUMOcache_5166,axiom,(+ s__subclass(s__Detaching,s__Entity) )).++fof(kb_SUMOcache_5167,axiom,(+ s__subclass(s__TernaryRelation,s__Entity) )).++fof(kb_SUMOcache_5168,axiom,(+ s__subclass(s__TernaryRelation,s__Abstract) )).++fof(kb_SUMOcache_5169,axiom,(+ s__subclass(s__ComputerLanguage,s__Physical) )).++fof(kb_SUMOcache_5170,axiom,(+ s__subclass(s__ComputerLanguage,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_5171,axiom,(+ s__subclass(s__ComputerLanguage,s__LinguisticExpression) )).++fof(kb_SUMOcache_5172,axiom,(+ s__subclass(s__ComputerLanguage,s__Language) )).++fof(kb_SUMOcache_5173,axiom,(+ s__instance(s__ComputerLanguage__t,s__SetOrClass) )).++fof(kb_SUMOcache_5174,axiom,(+ s__subclass(s__ComputerLanguage,s__Entity) )).++fof(kb_SUMOcache_5175,axiom,(+ s__subclass(s__Precipitation,s__Physical) )).++fof(kb_SUMOcache_5176,axiom,(+ s__subclass(s__Precipitation,s__Motion) )).++fof(kb_SUMOcache_5177,axiom,(+ s__subclass(s__Precipitation,s__MotionDownward) )).++fof(kb_SUMOcache_5178,axiom,(+ s__instance(s__MotionDownward__t,s__SetOrClass) )).++fof(kb_SUMOcache_5179,axiom,(+ s__subclass(s__Precipitation,s__Process) )).++fof(kb_SUMOcache_5180,axiom,(+ s__instance(s__Precipitation__t,s__SetOrClass) )).++fof(kb_SUMOcache_5181,axiom,(+ s__subclass(s__Precipitation,s__Translocation) )).++fof(kb_SUMOcache_5182,axiom,(+ s__subclass(s__Precipitation,s__LiquidMotion) )).++fof(kb_SUMOcache_5183,axiom,(+ s__subclass(s__Precipitation,s__Entity) )).++fof(kb_SUMOcache_5184,axiom,(+ s__subclass(s__UnaryFunction,s__Relation) )).++fof(kb_SUMOcache_5185,axiom,(+ s__subclass(s__UnaryFunction,s__SingleValuedRelation) )).++fof(kb_SUMOcache_5186,axiom,(+ s__subclass(s__UnaryFunction,s__Entity) )).++fof(kb_SUMOcache_5187,axiom,(+ s__subclass(s__UnaryFunction,s__Abstract) )).++fof(kb_SUMOcache_5188,axiom,(+ s__subclass(s__Neutron,s__Physical) )).++fof(kb_SUMOcache_5189,axiom,(+ s__subclass(s__Neutron,s__ElementalSubstance) )).++fof(kb_SUMOcache_5190,axiom,(+ s__instance(s__Neutron__t,s__SetOrClass) )).++fof(kb_SUMOcache_5191,axiom,(+ s__subclass(s__Neutron,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5192,axiom,(+ s__subclass(s__Neutron,s__Substance) )).++fof(kb_SUMOcache_5193,axiom,(+ s__subclass(s__Neutron,s__Object) )).++fof(kb_SUMOcache_5194,axiom,(+ s__subclass(s__Neutron,s__Entity) )).++fof(kb_SUMOcache_5195,axiom,(+ s__subclass(s__Neutron,s__PureSubstance) )).++fof(kb_SUMOcache_5196,axiom,(+ s__subclass(s__Pursuing,s__Physical) )).++fof(kb_SUMOcache_5197,axiom,(+ s__subclass(s__Pursuing,s__Process) )).++fof(kb_SUMOcache_5198,axiom,(+ s__instance(s__Pursuing__t,s__SetOrClass) )).++fof(kb_SUMOcache_5199,axiom,(+ s__subclass(s__Pursuing,s__Entity) )).++fof(kb_SUMOcache_5200,axiom,(+ s__subclass(s__ElementalSubstance,s__Physical) )).++fof(kb_SUMOcache_5201,axiom,(+ s__subclass(s__ElementalSubstance,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5202,axiom,(+ s__subclass(s__ElementalSubstance,s__Substance) )).++fof(kb_SUMOcache_5203,axiom,(+ s__subclass(s__ElementalSubstance,s__Object) )).++fof(kb_SUMOcache_5204,axiom,(+ s__instance(s__ElementalSubstance__t,s__SetOrClass) )).++fof(kb_SUMOcache_5205,axiom,(+ s__subclass(s__ElementalSubstance,s__Entity) )).++fof(kb_SUMOcache_5206,axiom,(+ s__subclass(s__Woman,s__Hominid) )).++fof(kb_SUMOcache_5207,axiom,(+ s__subclass(s__Woman,s__OrganicObject) )).++fof(kb_SUMOcache_5208,axiom,(+ s__subclass(s__Woman,s__CognitiveAgent) )).++fof(kb_SUMOcache_5209,axiom,(+ s__subclass(s__Woman,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5210,axiom,(+ s__subclass(s__Woman,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_5211,axiom,(+ s__subclass(s__Woman,s__Animal) )).++fof(kb_SUMOcache_5212,axiom,(+ s__subclass(s__Woman,s__Agent) )).++fof(kb_SUMOcache_5213,axiom,(+ s__subclass(s__Woman,s__Physical) )).++fof(kb_SUMOcache_5214,axiom,(+ s__instance(s__Woman__t,s__SetOrClass) )).++fof(kb_SUMOcache_5215,axiom,(+ s__subclass(s__Woman,s__SentientAgent) )).++fof(kb_SUMOcache_5216,axiom,(+ s__subclass(s__Woman,s__Vertebrate) )).++fof(kb_SUMOcache_5217,axiom,(+ s__subclass(s__Woman,s__Mammal) )).++fof(kb_SUMOcache_5218,axiom,(+ s__subclass(s__Woman,s__OrganicThing) )).++fof(kb_SUMOcache_5219,axiom,(+ s__subclass(s__Woman,s__Primate) )).++fof(kb_SUMOcache_5220,axiom,(+ s__subclass(s__Woman,s__Organism) )).++fof(kb_SUMOcache_5221,axiom,(+ s__subclass(s__Woman,s__CorpuscularObject) )).++fof(kb_SUMOcache_5222,axiom,(+ s__subclass(s__Woman,s__Object) )).++fof(kb_SUMOcache_5223,axiom,(+ s__subclass(s__Woman,s__Entity) )).++fof(kb_SUMOcache_5224,axiom,(+ s__subclass(s__TotalValuedRelation,s__Entity) )).++fof(kb_SUMOcache_5225,axiom,(+ s__subclass(s__TotalValuedRelation,s__Abstract) )).++fof(kb_SUMOcache_5226,axiom,(+ s__subclass(s__April,s__Quantity) )).++fof(kb_SUMOcache_5227,axiom,(+ s__subclass(s__April,s__ConstantQuantity) )).++fof(kb_SUMOcache_5228,axiom,(+ s__subclass(s__April,s__TimeMeasure) )).++fof(kb_SUMOcache_5229,axiom,(+ s__instance(s__April__t,s__SetOrClass) )).++fof(kb_SUMOcache_5230,axiom,(+ s__subclass(s__April,s__TimeInterval) )).++fof(kb_SUMOcache_5231,axiom,(+ s__subclass(s__April,s__TimePosition) )).++fof(kb_SUMOcache_5232,axiom,(+ s__subclass(s__April,s__Entity) )).++fof(kb_SUMOcache_5233,axiom,(+ s__subclass(s__April,s__Abstract) )).++fof(kb_SUMOcache_5234,axiom,(+ s__subclass(s__April,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5235,axiom,(+ s__subclass(s__QuantityChange,s__Physical) )).++fof(kb_SUMOcache_5236,axiom,(+ s__subclass(s__QuantityChange,s__Process) )).++fof(kb_SUMOcache_5237,axiom,(+ s__subclass(s__QuantityChange,s__Entity) )).++fof(kb_SUMOcache_5238,axiom,(+ s__subclass(s__Attaching,s__Physical) )).++fof(kb_SUMOcache_5239,axiom,(+ s__subclass(s__Attaching,s__Process) )).++fof(kb_SUMOcache_5240,axiom,(+ s__subclass(s__Attaching,s__Entity) )).++fof(kb_SUMOcache_5241,axiom,(+ s__instance(s__Attaching__t,s__SetOrClass) )).++fof(kb_SUMOcache_5242,axiom,(+ s__subclass(s__UnitOfAngularMeasure,s__Quantity) )).++fof(kb_SUMOcache_5243,axiom,(+ s__subclass(s__UnitOfAngularMeasure,s__UnitOfMeasure) )).++fof(kb_SUMOcache_5244,axiom,(+ s__instance(s__UnitOfAngularMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_5245,axiom,(+ s__subclass(s__UnitOfAngularMeasure,s__Entity) )).++fof(kb_SUMOcache_5246,axiom,(+ s__subclass(s__UnitOfAngularMeasure,s__Abstract) )).++fof(kb_SUMOcache_5247,axiom,(+ s__subclass(s__UnitOfAngularMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5248,axiom,(+ s__subclass(s__Naming,s__Physical) )).++fof(kb_SUMOcache_5249,axiom,(+ s__subclass(s__Naming,s__SocialInteraction) )).++fof(kb_SUMOcache_5250,axiom,(+ s__subclass(s__Naming,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_5251,axiom,(+ s__subclass(s__Naming,s__Process) )).++fof(kb_SUMOcache_5252,axiom,(+ s__subclass(s__Naming,s__Communication) )).++fof(kb_SUMOcache_5253,axiom,(+ s__subclass(s__Naming,s__IntentionalProcess) )).++fof(kb_SUMOcache_5254,axiom,(+ s__instance(s__Naming__t,s__SetOrClass) )).++fof(kb_SUMOcache_5255,axiom,(+ s__subclass(s__Naming,s__ContentBearingProcess) )).++fof(kb_SUMOcache_5256,axiom,(+ s__subclass(s__Naming,s__LinguisticCommunication) )).++fof(kb_SUMOcache_5257,axiom,(+ s__subclass(s__Naming,s__Entity) )).++fof(kb_SUMOcache_5258,axiom,(+ s__subclass(s__RadiatingXRay,s__Physical) )).++fof(kb_SUMOcache_5259,axiom,(+ s__subclass(s__RadiatingXRay,s__Motion) )).++fof(kb_SUMOcache_5260,axiom,(+ s__subclass(s__RadiatingXRay,s__Process) )).++fof(kb_SUMOcache_5261,axiom,(+ s__subclass(s__RadiatingXRay,s__Radiating) )).++fof(kb_SUMOcache_5262,axiom,(+ s__subclass(s__RadiatingXRay,s__Entity) )).++fof(kb_SUMOcache_5263,axiom,(+ s__instance(s__RadiatingXRay__t,s__SetOrClass) )).++fof(kb_SUMOcache_5264,axiom,(+ s__subclass(s__EngineeringComponent,s__Physical) )).++fof(kb_SUMOcache_5265,axiom,(+ s__subclass(s__EngineeringComponent,s__Artifact) )).++fof(kb_SUMOcache_5266,axiom,(+ s__subclass(s__EngineeringComponent,s__Object) )).++fof(kb_SUMOcache_5267,axiom,(+ s__instance(s__EngineeringComponent__t,s__SetOrClass) )).++fof(kb_SUMOcache_5268,axiom,(+ s__subclass(s__EngineeringComponent,s__Entity) )).++fof(kb_SUMOcache_5269,axiom,(+ s__subclass(s__Hunting,s__Physical) )).++fof(kb_SUMOcache_5270,axiom,(+ s__subclass(s__Hunting,s__Process) )).++fof(kb_SUMOcache_5271,axiom,(+ s__instance(s__Hunting__t,s__SetOrClass) )).++fof(kb_SUMOcache_5272,axiom,(+ s__subclass(s__Hunting,s__IntentionalProcess) )).++fof(kb_SUMOcache_5273,axiom,(+ s__subclass(s__Hunting,s__Entity) )).++fof(kb_SUMOcache_5274,axiom,(+ s__subclass(s__InvalidDeductiveArgument,s__Proposition) )).++fof(kb_SUMOcache_5275,axiom,(+ s__subclass(s__InvalidDeductiveArgument,s__Argument) )).++fof(kb_SUMOcache_5276,axiom,(+ s__subclass(s__InvalidDeductiveArgument,s__Entity) )).++fof(kb_SUMOcache_5277,axiom,(+ s__instance(s__InvalidDeductiveArgument__t,s__SetOrClass) )).++fof(kb_SUMOcache_5278,axiom,(+ s__subclass(s__InvalidDeductiveArgument,s__Abstract) )).++fof(kb_SUMOcache_5279,axiom,(+ s__subclass(s__Funding,s__Physical) )).++fof(kb_SUMOcache_5280,axiom,(+ s__subclass(s__Funding,s__SocialInteraction) )).++fof(kb_SUMOcache_5281,axiom,(+ s__subclass(s__Funding,s__Process) )).++fof(kb_SUMOcache_5282,axiom,(+ s__subclass(s__Funding,s__ChangeOfPossession) )).++fof(kb_SUMOcache_5283,axiom,(+ s__subclass(s__Funding,s__IntentionalProcess) )).++fof(kb_SUMOcache_5284,axiom,(+ s__instance(s__Funding__t,s__SetOrClass) )).++fof(kb_SUMOcache_5285,axiom,(+ s__subclass(s__Funding,s__Entity) )).++fof(kb_SUMOcache_5286,axiom,(+ s__subclass(s__AntisymmetricRelation,s__Relation) )).++fof(kb_SUMOcache_5287,axiom,(+ s__subclass(s__AntisymmetricRelation,s__InheritableRelation) )).++fof(kb_SUMOcache_5288,axiom,(+ s__subclass(s__AntisymmetricRelation,s__Abstract) )).++fof(kb_SUMOcache_5289,axiom,(+ s__subclass(s__AntisymmetricRelation,s__Entity) )).++fof(kb_SUMOcache_5290,axiom,(+ s__subclass(s__Invertebrate,s__Physical) )).++fof(kb_SUMOcache_5291,axiom,(+ s__subclass(s__Invertebrate,s__OrganicObject) )).++fof(kb_SUMOcache_5292,axiom,(+ s__subclass(s__Invertebrate,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5293,axiom,(+ s__subclass(s__Invertebrate,s__Agent) )).++fof(kb_SUMOcache_5294,axiom,(+ s__subclass(s__Invertebrate,s__OrganicThing) )).++fof(kb_SUMOcache_5295,axiom,(+ s__subclass(s__Invertebrate,s__Organism) )).++fof(kb_SUMOcache_5296,axiom,(+ s__subclass(s__Invertebrate,s__CorpuscularObject) )).++fof(kb_SUMOcache_5297,axiom,(+ s__subclass(s__Invertebrate,s__Object) )).++fof(kb_SUMOcache_5298,axiom,(+ s__subclass(s__Invertebrate,s__Entity) )).++fof(kb_SUMOcache_5299,axiom,(+ s__subclass(s__Decoding,s__Physical) )).++fof(kb_SUMOcache_5300,axiom,(+ s__subclass(s__Decoding,s__Process) )).++fof(kb_SUMOcache_5301,axiom,(+ s__subclass(s__Decoding,s__ContentDevelopment) )).++fof(kb_SUMOcache_5302,axiom,(+ s__subclass(s__Decoding,s__IntentionalProcess) )).++fof(kb_SUMOcache_5303,axiom,(+ s__instance(s__Decoding__t,s__SetOrClass) )).++fof(kb_SUMOcache_5304,axiom,(+ s__subclass(s__Decoding,s__Entity) )).++fof(kb_SUMOcache_5305,axiom,(+ s__subclass(s__MotionUpward,s__Physical) )).++fof(kb_SUMOcache_5306,axiom,(+ s__instance(s__MotionUpward__t,s__SetOrClass) )).++fof(kb_SUMOcache_5307,axiom,(+ s__subclass(s__MotionUpward,s__Process) )).++fof(kb_SUMOcache_5308,axiom,(+ s__subclass(s__MotionUpward,s__Entity) )).++fof(kb_SUMOcache_5309,axiom,(+ s__subclass(s__BinaryPredicate,s__Relation) )).++fof(kb_SUMOcache_5310,axiom,(+ s__instance(s__BinaryPredicate__t,s__SetOrClass) )).++fof(kb_SUMOcache_5311,axiom,(+ s__subclass(s__BinaryPredicate,s__Entity) )).++fof(kb_SUMOcache_5312,axiom,(+ s__subclass(s__BinaryPredicate,s__Abstract) )).++fof(kb_SUMOcache_5313,axiom,(+ s__subclass(s__OpenTwoDimensionalFigure,s__StructureAttribute) )).++fof(kb_SUMOcache_5314,axiom,(+ s__subclass(s__OpenTwoDimensionalFigure,s__GeometricFigure) )).++fof(kb_SUMOcache_5315,axiom,(+ s__subclass(s__OpenTwoDimensionalFigure,s__ShapeAttribute) )).++fof(kb_SUMOcache_5316,axiom,(+ s__subclass(s__OpenTwoDimensionalFigure,s__Attribute) )).++fof(kb_SUMOcache_5317,axiom,(+ s__instance(s__OpenTwoDimensionalFigure__t,s__SetOrClass) )).++fof(kb_SUMOcache_5318,axiom,(+ s__subclass(s__OpenTwoDimensionalFigure,s__InternalAttribute) )).++fof(kb_SUMOcache_5319,axiom,(+ s__subclass(s__OpenTwoDimensionalFigure,s__Entity) )).++fof(kb_SUMOcache_5320,axiom,(+ s__subclass(s__OpenTwoDimensionalFigure,s__Abstract) )).++fof(kb_SUMOcache_5321,axiom,(+ s__subclass(s__Counting,s__Physical) )).++fof(kb_SUMOcache_5322,axiom,(+ s__subclass(s__Counting,s__IntentionalPsychologicalProcess) )).++fof(kb_SUMOcache_5323,axiom,(+ s__subclass(s__Counting,s__Process) )).++fof(kb_SUMOcache_5324,axiom,(+ s__subclass(s__Counting,s__PsychologicalProcess) )).++fof(kb_SUMOcache_5325,axiom,(+ s__instance(s__Counting__t,s__SetOrClass) )).++fof(kb_SUMOcache_5326,axiom,(+ s__instance(s__PsychologicalProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_5327,axiom,(+ s__subclass(s__Counting,s__IntentionalProcess) )).++fof(kb_SUMOcache_5328,axiom,(+ s__subclass(s__Counting,s__InternalChange) )).++fof(kb_SUMOcache_5329,axiom,(+ s__subclass(s__Counting,s__BiologicalProcess) )).++fof(kb_SUMOcache_5330,axiom,(+ s__instance(s__BiologicalProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_5331,axiom,(+ s__subclass(s__Counting,s__Entity) )).++fof(kb_SUMOcache_5332,axiom,(+ s__subclass(s__ReflexiveRelation,s__Relation) )).++fof(kb_SUMOcache_5333,axiom,(+ s__subclass(s__ReflexiveRelation,s__InheritableRelation) )).++fof(kb_SUMOcache_5334,axiom,(+ s__subclass(s__ReflexiveRelation,s__Abstract) )).++fof(kb_SUMOcache_5335,axiom,(+ s__subclass(s__ReflexiveRelation,s__Entity) )).++fof(kb_SUMOcache_5336,axiom,(+ s__subclass(s__BinaryFunction,s__Relation) )).++fof(kb_SUMOcache_5337,axiom,(+ s__subclass(s__BinaryFunction,s__SingleValuedRelation) )).++fof(kb_SUMOcache_5338,axiom,(+ s__subclass(s__BinaryFunction,s__Entity) )).++fof(kb_SUMOcache_5339,axiom,(+ s__subclass(s__BinaryFunction,s__Abstract) )).++fof(kb_SUMOcache_5340,axiom,(+ s__subclass(s__LeapYear,s__Quantity) )).++fof(kb_SUMOcache_5341,axiom,(+ s__instance(s__LeapYear__t,s__SetOrClass) )).++fof(kb_SUMOcache_5342,axiom,(+ s__instance(s__Quantity__t,s__SetOrClass) )).++fof(kb_SUMOcache_5343,axiom,(+ s__subclass(s__LeapYear,s__ConstantQuantity) )).++fof(kb_SUMOcache_5344,axiom,(+ s__subclass(s__LeapYear,s__TimeMeasure) )).++fof(kb_SUMOcache_5345,axiom,(+ s__subclass(s__LeapYear,s__TimePosition) )).++fof(kb_SUMOcache_5346,axiom,(+ s__subclass(s__LeapYear,s__TimeInterval) )).++fof(kb_SUMOcache_5347,axiom,(+ s__subclass(s__LeapYear,s__Entity) )).++fof(kb_SUMOcache_5348,axiom,(+ s__subclass(s__LeapYear,s__Abstract) )).++fof(kb_SUMOcache_5349,axiom,(+ s__subclass(s__LeapYear,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5350,axiom,(+ s__subclass(s__UnitOfMass,s__Quantity) )).++fof(kb_SUMOcache_5351,axiom,(+ s__subclass(s__UnitOfMass,s__UnitOfMeasure) )).++fof(kb_SUMOcache_5352,axiom,(+ s__subclass(s__UnitOfMass,s__Entity) )).++fof(kb_SUMOcache_5353,axiom,(+ s__subclass(s__UnitOfMass,s__Abstract) )).++fof(kb_SUMOcache_5354,axiom,(+ s__subclass(s__UnitOfMass,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5355,axiom,(+ s__instance(s__UnitOfMass__t,s__SetOrClass) )).++fof(kb_SUMOcache_5356,axiom,(+ s__subclass(s__UnitOfCurrency,s__Quantity) )).++fof(kb_SUMOcache_5357,axiom,(+ s__subclass(s__UnitOfCurrency,s__UnitOfMeasure) )).++fof(kb_SUMOcache_5358,axiom,(+ s__instance(s__UnitOfCurrency__t,s__SetOrClass) )).++fof(kb_SUMOcache_5359,axiom,(+ s__subclass(s__UnitOfCurrency,s__Entity) )).++fof(kb_SUMOcache_5360,axiom,(+ s__subclass(s__UnitOfCurrency,s__Abstract) )).++fof(kb_SUMOcache_5361,axiom,(+ s__subclass(s__UnitOfCurrency,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5362,axiom,(+ s__subclass(s__Organ,s__Physical) )).++fof(kb_SUMOcache_5363,axiom,(+ s__subclass(s__Organ,s__OrganicObject) )).++fof(kb_SUMOcache_5364,axiom,(+ s__subclass(s__Organ,s__AnatomicalStructure) )).++fof(kb_SUMOcache_5365,axiom,(+ s__subclass(s__Organ,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5366,axiom,(+ s__subclass(s__Organ,s__OrganicThing) )).++fof(kb_SUMOcache_5367,axiom,(+ s__instance(s__Organ__t,s__SetOrClass) )).++fof(kb_SUMOcache_5368,axiom,(+ s__subclass(s__Organ,s__Object) )).++fof(kb_SUMOcache_5369,axiom,(+ s__subclass(s__Organ,s__CorpuscularObject) )).++fof(kb_SUMOcache_5370,axiom,(+ s__subclass(s__Organ,s__Entity) )).++fof(kb_SUMOcache_5371,axiom,(+ s__subclass(s__Thursday,s__ConstantQuantity) )).++fof(kb_SUMOcache_5372,axiom,(+ s__instance(s__Thursday__t,s__SetOrClass) )).++fof(kb_SUMOcache_5373,axiom,(+ s__subclass(s__Thursday,s__Quantity) )).++fof(kb_SUMOcache_5374,axiom,(+ s__subclass(s__Thursday,s__TimeMeasure) )).++fof(kb_SUMOcache_5375,axiom,(+ s__subclass(s__Thursday,s__TimeInterval) )).++fof(kb_SUMOcache_5376,axiom,(+ s__subclass(s__Thursday,s__TimePosition) )).++fof(kb_SUMOcache_5377,axiom,(+ s__subclass(s__Thursday,s__Entity) )).++fof(kb_SUMOcache_5378,axiom,(+ s__subclass(s__Thursday,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5379,axiom,(+ s__subclass(s__Thursday,s__Abstract) )).++fof(kb_SUMOcache_5380,axiom,(+ s__subclass(s__JoiningAnOrganization,s__Physical) )).++fof(kb_SUMOcache_5381,axiom,(+ s__subclass(s__JoiningAnOrganization,s__Process) )).++fof(kb_SUMOcache_5382,axiom,(+ s__instance(s__JoiningAnOrganization__t,s__SetOrClass) )).++fof(kb_SUMOcache_5383,axiom,(+ s__subclass(s__JoiningAnOrganization,s__IntentionalProcess) )).++fof(kb_SUMOcache_5384,axiom,(+ s__subclass(s__JoiningAnOrganization,s__Entity) )).++fof(kb_SUMOcache_5385,axiom,(+ s__subclass(s__Attribute,s__Entity) )).++fof(kb_SUMOcache_5386,axiom,(+ s__subclass(s__Deciding,s__Physical) )).++fof(kb_SUMOcache_5387,axiom,(+ s__subclass(s__Deciding,s__IntentionalPsychologicalProcess) )).++fof(kb_SUMOcache_5388,axiom,(+ s__subclass(s__Deciding,s__Process) )).++fof(kb_SUMOcache_5389,axiom,(+ s__subclass(s__Deciding,s__PsychologicalProcess) )).++fof(kb_SUMOcache_5390,axiom,(+ s__subclass(s__Deciding,s__InternalChange) )).++fof(kb_SUMOcache_5391,axiom,(+ s__subclass(s__Deciding,s__BiologicalProcess) )).++fof(kb_SUMOcache_5392,axiom,(+ s__instance(s__Deciding__t,s__SetOrClass) )).++fof(kb_SUMOcache_5393,axiom,(+ s__subclass(s__Deciding,s__IntentionalProcess) )).++fof(kb_SUMOcache_5394,axiom,(+ s__subclass(s__Deciding,s__Entity) )).++fof(kb_SUMOcache_5395,axiom,(+ s__subclass(s__Carbohydrate,s__Physical) )).++fof(kb_SUMOcache_5396,axiom,(+ s__subclass(s__Carbohydrate,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5397,axiom,(+ s__subclass(s__Carbohydrate,s__Substance) )).++fof(kb_SUMOcache_5398,axiom,(+ s__subclass(s__Carbohydrate,s__BiologicallyActiveSubstance) )).++fof(kb_SUMOcache_5399,axiom,(+ s__instance(s__Carbohydrate__t,s__SetOrClass) )).++fof(kb_SUMOcache_5400,axiom,(+ s__instance(s__BiologicallyActiveSubstance__t,s__SetOrClass) )).++fof(kb_SUMOcache_5401,axiom,(+ s__subclass(s__Carbohydrate,s__Object) )).++fof(kb_SUMOcache_5402,axiom,(+ s__subclass(s__Carbohydrate,s__Entity) )).++fof(kb_SUMOcache_5403,axiom,(+ s__subclass(s__October,s__Quantity) )).++fof(kb_SUMOcache_5404,axiom,(+ s__subclass(s__October,s__ConstantQuantity) )).++fof(kb_SUMOcache_5405,axiom,(+ s__subclass(s__October,s__TimeMeasure) )).++fof(kb_SUMOcache_5406,axiom,(+ s__subclass(s__October,s__TimeInterval) )).++fof(kb_SUMOcache_5407,axiom,(+ s__subclass(s__October,s__TimePosition) )).++fof(kb_SUMOcache_5408,axiom,(+ s__instance(s__October__t,s__SetOrClass) )).++fof(kb_SUMOcache_5409,axiom,(+ s__subclass(s__October,s__Entity) )).++fof(kb_SUMOcache_5410,axiom,(+ s__subclass(s__October,s__Abstract) )).++fof(kb_SUMOcache_5411,axiom,(+ s__subclass(s__October,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5412,axiom,(+ s__subclass(s__ColdBloodedVertebrate,s__Physical) )).++fof(kb_SUMOcache_5413,axiom,(+ s__subclass(s__ColdBloodedVertebrate,s__OrganicObject) )).++fof(kb_SUMOcache_5414,axiom,(+ s__instance(s__ColdBloodedVertebrate__t,s__SetOrClass) )).++fof(kb_SUMOcache_5415,axiom,(+ s__subclass(s__ColdBloodedVertebrate,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5416,axiom,(+ s__subclass(s__ColdBloodedVertebrate,s__Agent) )).++fof(kb_SUMOcache_5417,axiom,(+ s__subclass(s__ColdBloodedVertebrate,s__Animal) )).++fof(kb_SUMOcache_5418,axiom,(+ s__subclass(s__ColdBloodedVertebrate,s__OrganicThing) )).++fof(kb_SUMOcache_5419,axiom,(+ s__subclass(s__ColdBloodedVertebrate,s__Organism) )).++fof(kb_SUMOcache_5420,axiom,(+ s__subclass(s__ColdBloodedVertebrate,s__CorpuscularObject) )).++fof(kb_SUMOcache_5421,axiom,(+ s__subclass(s__ColdBloodedVertebrate,s__Object) )).++fof(kb_SUMOcache_5422,axiom,(+ s__subclass(s__ColdBloodedVertebrate,s__Entity) )).++fof(kb_SUMOcache_5423,axiom,(+ s__subclass(s__Committing,s__Physical) )).++fof(kb_SUMOcache_5424,axiom,(+ s__subclass(s__Committing,s__SocialInteraction) )).++fof(kb_SUMOcache_5425,axiom,(+ s__subclass(s__Committing,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_5426,axiom,(+ s__subclass(s__Committing,s__Process) )).++fof(kb_SUMOcache_5427,axiom,(+ s__subclass(s__Committing,s__Communication) )).++fof(kb_SUMOcache_5428,axiom,(+ s__subclass(s__Committing,s__IntentionalProcess) )).++fof(kb_SUMOcache_5429,axiom,(+ s__subclass(s__Committing,s__ContentBearingProcess) )).++fof(kb_SUMOcache_5430,axiom,(+ s__subclass(s__Committing,s__Entity) )).++fof(kb_SUMOcache_5431,axiom,(+ s__instance(s__Committing__t,s__SetOrClass) )).++fof(kb_SUMOcache_5432,axiom,(+ s__subclass(s__ConsciousnessAttribute,s__PsychologicalAttribute) )).++fof(kb_SUMOcache_5433,axiom,(+ s__subclass(s__ConsciousnessAttribute,s__BiologicalAttribute) )).++fof(kb_SUMOcache_5434,axiom,(+ s__subclass(s__ConsciousnessAttribute,s__Attribute) )).++fof(kb_SUMOcache_5435,axiom,(+ s__subclass(s__ConsciousnessAttribute,s__InternalAttribute) )).++fof(kb_SUMOcache_5436,axiom,(+ s__subclass(s__ConsciousnessAttribute,s__Abstract) )).++fof(kb_SUMOcache_5437,axiom,(+ s__instance(s__ConsciousnessAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_5438,axiom,(+ s__subclass(s__ConsciousnessAttribute,s__Entity) )).++fof(kb_SUMOcache_5439,axiom,(+ s__subclass(s__June,s__Quantity) )).++fof(kb_SUMOcache_5440,axiom,(+ s__subclass(s__June,s__ConstantQuantity) )).++fof(kb_SUMOcache_5441,axiom,(+ s__subclass(s__June,s__TimeMeasure) )).++fof(kb_SUMOcache_5442,axiom,(+ s__instance(s__June__t,s__SetOrClass) )).++fof(kb_SUMOcache_5443,axiom,(+ s__subclass(s__June,s__TimeInterval) )).++fof(kb_SUMOcache_5444,axiom,(+ s__subclass(s__June,s__TimePosition) )).++fof(kb_SUMOcache_5445,axiom,(+ s__subclass(s__June,s__Entity) )).++fof(kb_SUMOcache_5446,axiom,(+ s__subclass(s__June,s__Abstract) )).++fof(kb_SUMOcache_5447,axiom,(+ s__subclass(s__June,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5448,axiom,(+ s__subclass(s__Directing,s__Physical) )).++fof(kb_SUMOcache_5449,axiom,(+ s__subclass(s__Directing,s__SocialInteraction) )).++fof(kb_SUMOcache_5450,axiom,(+ s__subclass(s__Directing,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_5451,axiom,(+ s__subclass(s__Directing,s__Process) )).++fof(kb_SUMOcache_5452,axiom,(+ s__subclass(s__Directing,s__Communication) )).++fof(kb_SUMOcache_5453,axiom,(+ s__subclass(s__Directing,s__IntentionalProcess) )).++fof(kb_SUMOcache_5454,axiom,(+ s__instance(s__Directing__t,s__SetOrClass) )).++fof(kb_SUMOcache_5455,axiom,(+ s__subclass(s__Directing,s__ContentBearingProcess) )).++fof(kb_SUMOcache_5456,axiom,(+ s__subclass(s__Directing,s__Entity) )).++fof(kb_SUMOcache_5457,axiom,(+ s__subclass(s__Combustion,s__Physical) )).++fof(kb_SUMOcache_5458,axiom,(+ s__instance(s__Combustion__t,s__SetOrClass) )).++fof(kb_SUMOcache_5459,axiom,(+ s__subclass(s__Combustion,s__DualObjectProcess) )).++fof(kb_SUMOcache_5460,axiom,(+ s__subclass(s__Combustion,s__Separating) )).++fof(kb_SUMOcache_5461,axiom,(+ s__instance(s__Separating__t,s__SetOrClass) )).++fof(kb_SUMOcache_5462,axiom,(+ s__subclass(s__Combustion,s__Process) )).++fof(kb_SUMOcache_5463,axiom,(+ s__subclass(s__Combustion,s__ChemicalProcess) )).++fof(kb_SUMOcache_5464,axiom,(+ s__instance(s__ChemicalProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_5465,axiom,(+ s__subclass(s__Combustion,s__InternalChange) )).++fof(kb_SUMOcache_5466,axiom,(+ s__subclass(s__Combustion,s__Entity) )).++fof(kb_SUMOcache_5467,axiom,(+ s__subclass(s__Molecule,s__Physical) )).++fof(kb_SUMOcache_5468,axiom,(+ s__subclass(s__Molecule,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5469,axiom,(+ s__subclass(s__Molecule,s__Substance) )).++fof(kb_SUMOcache_5470,axiom,(+ s__instance(s__Molecule__t,s__SetOrClass) )).++fof(kb_SUMOcache_5471,axiom,(+ s__subclass(s__Molecule,s__Object) )).++fof(kb_SUMOcache_5472,axiom,(+ s__subclass(s__Molecule,s__Entity) )).++fof(kb_SUMOcache_5473,axiom,(+ s__subclass(s__Molecule,s__PureSubstance) )).++fof(kb_SUMOcache_5474,axiom,(+ s__subclass(s__Class,s__Abstract) )).++fof(kb_SUMOcache_5475,axiom,(+ s__subclass(s__Class,s__Entity) )).++fof(kb_SUMOcache_5476,axiom,(+ s__instance(s__Class__t,s__SetOrClass) )).++fof(kb_SUMOcache_5477,axiom,(+ s__subclass(s__LinguisticExpression,s__Physical) )).++fof(kb_SUMOcache_5478,axiom,(+ s__subclass(s__LinguisticExpression,s__Entity) )).++fof(kb_SUMOcache_5479,axiom,(+ s__subclass(s__QuaternaryPredicate,s__Relation) )).++fof(kb_SUMOcache_5480,axiom,(+ s__subclass(s__QuaternaryPredicate,s__Entity) )).++fof(kb_SUMOcache_5481,axiom,(+ s__subclass(s__QuaternaryPredicate,s__Abstract) )).++fof(kb_SUMOcache_5482,axiom,(+ s__instance(s__QuaternaryPredicate__t,s__SetOrClass) )).++fof(kb_SUMOcache_5483,axiom,(+ s__subclass(s__FatTissue,s__Physical) )).++fof(kb_SUMOcache_5484,axiom,(+ s__subclass(s__FatTissue,s__BodySubstance) )).++fof(kb_SUMOcache_5485,axiom,(+ s__subclass(s__FatTissue,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5486,axiom,(+ s__instance(s__FatTissue__t,s__SetOrClass) )).++fof(kb_SUMOcache_5487,axiom,(+ s__subclass(s__FatTissue,s__Substance) )).++fof(kb_SUMOcache_5488,axiom,(+ s__subclass(s__FatTissue,s__Object) )).++fof(kb_SUMOcache_5489,axiom,(+ s__subclass(s__FatTissue,s__Entity) )).++fof(kb_SUMOcache_5490,axiom,(+ s__subclass(s__Certificate,s__Physical) )).++fof(kb_SUMOcache_5491,axiom,(+ s__subclass(s__Certificate,s__Artifact) )).++fof(kb_SUMOcache_5492,axiom,(+ s__subclass(s__Certificate,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_5493,axiom,(+ s__subclass(s__Certificate,s__ContentBearingObject) )).++fof(kb_SUMOcache_5494,axiom,(+ s__subclass(s__Certificate,s__LinguisticExpression) )).++fof(kb_SUMOcache_5495,axiom,(+ s__instance(s__Certificate__t,s__SetOrClass) )).++fof(kb_SUMOcache_5496,axiom,(+ s__subclass(s__Certificate,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5497,axiom,(+ s__subclass(s__Certificate,s__Object) )).++fof(kb_SUMOcache_5498,axiom,(+ s__subclass(s__Certificate,s__CorpuscularObject) )).++fof(kb_SUMOcache_5499,axiom,(+ s__subclass(s__Certificate,s__Entity) )).++fof(kb_SUMOcache_5500,axiom,(+ s__subclass(s__RelationalAttribute,s__Abstract) )).++fof(kb_SUMOcache_5501,axiom,(+ s__subclass(s__RelationalAttribute,s__Entity) )).++fof(kb_SUMOcache_5502,axiom,(+ s__subclass(s__AnimacyAttribute,s__Attribute) )).++fof(kb_SUMOcache_5503,axiom,(+ s__subclass(s__AnimacyAttribute,s__InternalAttribute) )).++fof(kb_SUMOcache_5504,axiom,(+ s__subclass(s__AnimacyAttribute,s__Entity) )).++fof(kb_SUMOcache_5505,axiom,(+ s__subclass(s__AnimacyAttribute,s__Abstract) )).++fof(kb_SUMOcache_5506,axiom,(+ s__instance(s__AnimacyAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_5507,axiom,(+ s__subclass(s__Residence,s__Physical) )).++fof(kb_SUMOcache_5508,axiom,(+ s__instance(s__Residence__t,s__SetOrClass) )).++fof(kb_SUMOcache_5509,axiom,(+ s__subclass(s__Residence,s__Artifact) )).++fof(kb_SUMOcache_5510,axiom,(+ s__subclass(s__Residence,s__Object) )).++fof(kb_SUMOcache_5511,axiom,(+ s__subclass(s__Residence,s__Entity) )).++fof(kb_SUMOcache_5512,axiom,(+ s__subclass(s__September,s__Quantity) )).++fof(kb_SUMOcache_5513,axiom,(+ s__subclass(s__September,s__ConstantQuantity) )).++fof(kb_SUMOcache_5514,axiom,(+ s__instance(s__September__t,s__SetOrClass) )).++fof(kb_SUMOcache_5515,axiom,(+ s__subclass(s__September,s__TimeMeasure) )).++fof(kb_SUMOcache_5516,axiom,(+ s__subclass(s__September,s__TimeInterval) )).++fof(kb_SUMOcache_5517,axiom,(+ s__subclass(s__September,s__TimePosition) )).++fof(kb_SUMOcache_5518,axiom,(+ s__subclass(s__September,s__Entity) )).++fof(kb_SUMOcache_5519,axiom,(+ s__subclass(s__September,s__Abstract) )).++fof(kb_SUMOcache_5520,axiom,(+ s__subclass(s__September,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5521,axiom,(+ s__subclass(s__TwoDimensionalAngle,s__TwoDimensionalFigure) )).++fof(kb_SUMOcache_5522,axiom,(+ s__instance(s__TwoDimensionalAngle__t,s__SetOrClass) )).++fof(kb_SUMOcache_5523,axiom,(+ s__subclass(s__TwoDimensionalAngle,s__StructureAttribute) )).++fof(kb_SUMOcache_5524,axiom,(+ s__subclass(s__TwoDimensionalAngle,s__GeometricFigure) )).++fof(kb_SUMOcache_5525,axiom,(+ s__subclass(s__TwoDimensionalAngle,s__ShapeAttribute) )).++fof(kb_SUMOcache_5526,axiom,(+ s__subclass(s__TwoDimensionalAngle,s__Attribute) )).++fof(kb_SUMOcache_5527,axiom,(+ s__subclass(s__TwoDimensionalAngle,s__InternalAttribute) )).++fof(kb_SUMOcache_5528,axiom,(+ s__subclass(s__TwoDimensionalAngle,s__Entity) )).++fof(kb_SUMOcache_5529,axiom,(+ s__subclass(s__TwoDimensionalAngle,s__Abstract) )).++fof(kb_SUMOcache_5530,axiom,(+ s__subclass(s__Noun,s__Physical) )).++fof(kb_SUMOcache_5531,axiom,(+ s__subclass(s__Noun,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_5532,axiom,(+ s__instance(s__Noun__t,s__SetOrClass) )).++fof(kb_SUMOcache_5533,axiom,(+ s__instance(s__ContentBearingPhysical__t,s__SetOrClass) )).++fof(kb_SUMOcache_5534,axiom,(+ s__subclass(s__Noun,s__LinguisticExpression) )).++fof(kb_SUMOcache_5535,axiom,(+ s__subclass(s__Noun,s__Entity) )).++fof(kb_SUMOcache_5536,axiom,(+ s__subclass(s__TherapeuticProcess,s__Physical) )).++fof(kb_SUMOcache_5537,axiom,(+ s__subclass(s__TherapeuticProcess,s__Process) )).++fof(kb_SUMOcache_5538,axiom,(+ s__instance(s__TherapeuticProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_5539,axiom,(+ s__subclass(s__TherapeuticProcess,s__IntentionalProcess) )).++fof(kb_SUMOcache_5540,axiom,(+ s__subclass(s__TherapeuticProcess,s__Entity) )).++fof(kb_SUMOcache_5541,axiom,(+ s__subclass(s__Death,s__Physical) )).++fof(kb_SUMOcache_5542,axiom,(+ s__subclass(s__Death,s__PhysiologicProcess) )).++fof(kb_SUMOcache_5543,axiom,(+ s__subclass(s__Death,s__Process) )).++fof(kb_SUMOcache_5544,axiom,(+ s__subclass(s__Death,s__InternalChange) )).++fof(kb_SUMOcache_5545,axiom,(+ s__subclass(s__Death,s__BiologicalProcess) )).++fof(kb_SUMOcache_5546,axiom,(+ s__instance(s__Death__t,s__SetOrClass) )).++fof(kb_SUMOcache_5547,axiom,(+ s__subclass(s__Death,s__Entity) )).++fof(kb_SUMOcache_5548,axiom,(+ s__subclass(s__Substituting,s__Physical) )).++fof(kb_SUMOcache_5549,axiom,(+ s__subclass(s__Substituting,s__Motion) )).++fof(kb_SUMOcache_5550,axiom,(+ s__subclass(s__Substituting,s__Process) )).++fof(kb_SUMOcache_5551,axiom,(+ s__instance(s__Substituting__t,s__SetOrClass) )).++fof(kb_SUMOcache_5552,axiom,(+ s__subclass(s__Substituting,s__Translocation) )).++fof(kb_SUMOcache_5553,axiom,(+ s__subclass(s__Substituting,s__Entity) )).++fof(kb_SUMOcache_5554,axiom,(+ s__subclass(s__Feline,s__OrganicObject) )).++fof(kb_SUMOcache_5555,axiom,(+ s__subclass(s__Feline,s__Animal) )).++fof(kb_SUMOcache_5556,axiom,(+ s__subclass(s__Feline,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_5557,axiom,(+ s__subclass(s__Feline,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5558,axiom,(+ s__subclass(s__Feline,s__Agent) )).++fof(kb_SUMOcache_5559,axiom,(+ s__subclass(s__Feline,s__Physical) )).++fof(kb_SUMOcache_5560,axiom,(+ s__subclass(s__Feline,s__Vertebrate) )).++fof(kb_SUMOcache_5561,axiom,(+ s__subclass(s__Feline,s__Mammal) )).++fof(kb_SUMOcache_5562,axiom,(+ s__instance(s__Feline__t,s__SetOrClass) )).++fof(kb_SUMOcache_5563,axiom,(+ s__instance(s__Mammal__t,s__SetOrClass) )).++fof(kb_SUMOcache_5564,axiom,(+ s__subclass(s__Feline,s__OrganicThing) )).++fof(kb_SUMOcache_5565,axiom,(+ s__subclass(s__Feline,s__Organism) )).++fof(kb_SUMOcache_5566,axiom,(+ s__subclass(s__Feline,s__CorpuscularObject) )).++fof(kb_SUMOcache_5567,axiom,(+ s__subclass(s__Feline,s__Object) )).++fof(kb_SUMOcache_5568,axiom,(+ s__subclass(s__Feline,s__Entity) )).++fof(kb_SUMOcache_5569,axiom,(+ s__subclass(s__OrganizationalProcess,s__Physical) )).++fof(kb_SUMOcache_5570,axiom,(+ s__subclass(s__OrganizationalProcess,s__Process) )).++fof(kb_SUMOcache_5571,axiom,(+ s__subclass(s__OrganizationalProcess,s__Entity) )).++fof(kb_SUMOcache_5572,axiom,(+ s__subclass(s__Seeing,s__Physical) )).++fof(kb_SUMOcache_5573,axiom,(+ s__subclass(s__Seeing,s__Process) )).++fof(kb_SUMOcache_5574,axiom,(+ s__subclass(s__Seeing,s__PsychologicalProcess) )).++fof(kb_SUMOcache_5575,axiom,(+ s__subclass(s__Seeing,s__InternalChange) )).++fof(kb_SUMOcache_5576,axiom,(+ s__subclass(s__Seeing,s__BiologicalProcess) )).++fof(kb_SUMOcache_5577,axiom,(+ s__subclass(s__Seeing,s__Entity) )).++fof(kb_SUMOcache_5578,axiom,(+ s__instance(s__Seeing__t,s__SetOrClass) )).++fof(kb_SUMOcache_5579,axiom,(+ s__subclass(s__AstronomicalBody,s__Physical) )).++fof(kb_SUMOcache_5580,axiom,(+ s__instance(s__AstronomicalBody__t,s__SetOrClass) )).++fof(kb_SUMOcache_5581,axiom,(+ s__subclass(s__AstronomicalBody,s__Entity) )).++fof(kb_SUMOcache_5582,axiom,(+ s__subclass(s__January,s__Quantity) )).++fof(kb_SUMOcache_5583,axiom,(+ s__subclass(s__January,s__ConstantQuantity) )).++fof(kb_SUMOcache_5584,axiom,(+ s__subclass(s__January,s__TimeMeasure) )).++fof(kb_SUMOcache_5585,axiom,(+ s__subclass(s__January,s__TimeInterval) )).++fof(kb_SUMOcache_5586,axiom,(+ s__instance(s__January__t,s__SetOrClass) )).++fof(kb_SUMOcache_5587,axiom,(+ s__subclass(s__January,s__TimePosition) )).++fof(kb_SUMOcache_5588,axiom,(+ s__subclass(s__January,s__Entity) )).++fof(kb_SUMOcache_5589,axiom,(+ s__subclass(s__January,s__Abstract) )).++fof(kb_SUMOcache_5590,axiom,(+ s__subclass(s__January,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5591,axiom,(+ s__subclass(s__PlantAnatomicalStructure,s__Physical) )).++fof(kb_SUMOcache_5592,axiom,(+ s__subclass(s__PlantAnatomicalStructure,s__OrganicObject) )).++fof(kb_SUMOcache_5593,axiom,(+ s__instance(s__PlantAnatomicalStructure__t,s__SetOrClass) )).++fof(kb_SUMOcache_5594,axiom,(+ s__subclass(s__PlantAnatomicalStructure,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5595,axiom,(+ s__subclass(s__PlantAnatomicalStructure,s__OrganicThing) )).++fof(kb_SUMOcache_5596,axiom,(+ s__subclass(s__PlantAnatomicalStructure,s__CorpuscularObject) )).++fof(kb_SUMOcache_5597,axiom,(+ s__subclass(s__PlantAnatomicalStructure,s__Object) )).++fof(kb_SUMOcache_5598,axiom,(+ s__subclass(s__PlantAnatomicalStructure,s__Entity) )).++fof(kb_SUMOcache_5599,axiom,(+ s__subclass(s__FieldOfStudy,s__Abstract) )).++fof(kb_SUMOcache_5600,axiom,(+ s__subclass(s__FieldOfStudy,s__Entity) )).++fof(kb_SUMOcache_5601,axiom,(+ s__instance(s__FieldOfStudy__t,s__SetOrClass) )).++fof(kb_SUMOcache_5602,axiom,(+ s__subclass(s__Metal,s__Physical) )).++fof(kb_SUMOcache_5603,axiom,(+ s__subclass(s__Metal,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5604,axiom,(+ s__subclass(s__Metal,s__Substance) )).++fof(kb_SUMOcache_5605,axiom,(+ s__subclass(s__Metal,s__Object) )).++fof(kb_SUMOcache_5606,axiom,(+ s__instance(s__Metal__t,s__SetOrClass) )).++fof(kb_SUMOcache_5607,axiom,(+ s__subclass(s__Metal,s__Entity) )).++fof(kb_SUMOcache_5608,axiom,(+ s__subclass(s__Metal,s__PureSubstance) )).++fof(kb_SUMOcache_5609,axiom,(+ s__subclass(s__UnitOfMeasure,s__Quantity) )).++fof(kb_SUMOcache_5610,axiom,(+ s__subclass(s__UnitOfMeasure,s__Abstract) )).++fof(kb_SUMOcache_5611,axiom,(+ s__subclass(s__UnitOfMeasure,s__Entity) )).++fof(kb_SUMOcache_5612,axiom,(+ s__subclass(s__Pretending,s__Physical) )).++fof(kb_SUMOcache_5613,axiom,(+ s__subclass(s__Pretending,s__Process) )).++fof(kb_SUMOcache_5614,axiom,(+ s__subclass(s__Pretending,s__IntentionalProcess) )).++fof(kb_SUMOcache_5615,axiom,(+ s__instance(s__Pretending__t,s__SetOrClass) )).++fof(kb_SUMOcache_5616,axiom,(+ s__subclass(s__Pretending,s__Entity) )).++fof(kb_SUMOcache_5617,axiom,(+ s__subclass(s__EducationalProcess,s__Physical) )).++fof(kb_SUMOcache_5618,axiom,(+ s__subclass(s__EducationalProcess,s__Process) )).++fof(kb_SUMOcache_5619,axiom,(+ s__instance(s__EducationalProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_5620,axiom,(+ s__subclass(s__EducationalProcess,s__IntentionalProcess) )).++fof(kb_SUMOcache_5621,axiom,(+ s__subclass(s__EducationalProcess,s__Entity) )).++fof(kb_SUMOcache_5622,axiom,(+ s__subclass(s__Proton,s__Physical) )).++fof(kb_SUMOcache_5623,axiom,(+ s__subclass(s__Proton,s__ElementalSubstance) )).++fof(kb_SUMOcache_5624,axiom,(+ s__subclass(s__Proton,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5625,axiom,(+ s__subclass(s__Proton,s__Substance) )).++fof(kb_SUMOcache_5626,axiom,(+ s__subclass(s__Proton,s__Object) )).++fof(kb_SUMOcache_5627,axiom,(+ s__instance(s__Proton__t,s__SetOrClass) )).++fof(kb_SUMOcache_5628,axiom,(+ s__subclass(s__Proton,s__PureSubstance) )).++fof(kb_SUMOcache_5629,axiom,(+ s__subclass(s__Proton,s__Entity) )).++fof(kb_SUMOcache_5630,axiom,(+ s__subclass(s__MakingInstrumentalMusic,s__Physical) )).++fof(kb_SUMOcache_5631,axiom,(+ s__instance(s__MakingInstrumentalMusic__t,s__SetOrClass) )).++fof(kb_SUMOcache_5632,axiom,(+ s__subclass(s__MakingInstrumentalMusic,s__Motion) )).++fof(kb_SUMOcache_5633,axiom,(+ s__subclass(s__MakingInstrumentalMusic,s__Process) )).++fof(kb_SUMOcache_5634,axiom,(+ s__subclass(s__MakingInstrumentalMusic,s__Radiating) )).++fof(kb_SUMOcache_5635,axiom,(+ s__instance(s__Radiating__t,s__SetOrClass) )).++fof(kb_SUMOcache_5636,axiom,(+ s__subclass(s__MakingInstrumentalMusic,s__RadiatingSound) )).++fof(kb_SUMOcache_5637,axiom,(+ s__subclass(s__MakingInstrumentalMusic,s__Entity) )).++fof(kb_SUMOcache_5638,axiom,(+ s__subclass(s__Questioning,s__Physical) )).++fof(kb_SUMOcache_5639,axiom,(+ s__subclass(s__Questioning,s__SocialInteraction) )).++fof(kb_SUMOcache_5640,axiom,(+ s__subclass(s__Questioning,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_5641,axiom,(+ s__subclass(s__Questioning,s__Process) )).++fof(kb_SUMOcache_5642,axiom,(+ s__subclass(s__Questioning,s__Communication) )).++fof(kb_SUMOcache_5643,axiom,(+ s__subclass(s__Questioning,s__IntentionalProcess) )).++fof(kb_SUMOcache_5644,axiom,(+ s__subclass(s__Questioning,s__ContentBearingProcess) )).++fof(kb_SUMOcache_5645,axiom,(+ s__instance(s__Questioning__t,s__SetOrClass) )).++fof(kb_SUMOcache_5646,axiom,(+ s__instance(s__ContentBearingProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_5647,axiom,(+ s__subclass(s__Questioning,s__LinguisticCommunication) )).++fof(kb_SUMOcache_5648,axiom,(+ s__subclass(s__Questioning,s__Entity) )).++fof(kb_SUMOcache_5649,axiom,(+ s__subclass(s__LiquidMotion,s__Physical) )).++fof(kb_SUMOcache_5650,axiom,(+ s__subclass(s__LiquidMotion,s__Process) )).++fof(kb_SUMOcache_5651,axiom,(+ s__instance(s__LiquidMotion__t,s__SetOrClass) )).++fof(kb_SUMOcache_5652,axiom,(+ s__subclass(s__LiquidMotion,s__Entity) )).++fof(kb_SUMOcache_5653,axiom,(+ s__subclass(s__UnitOfArea,s__Quantity) )).++fof(kb_SUMOcache_5654,axiom,(+ s__subclass(s__UnitOfArea,s__UnitOfMeasure) )).++fof(kb_SUMOcache_5655,axiom,(+ s__subclass(s__UnitOfArea,s__Entity) )).++fof(kb_SUMOcache_5656,axiom,(+ s__subclass(s__UnitOfArea,s__Abstract) )).++fof(kb_SUMOcache_5657,axiom,(+ s__subclass(s__UnitOfArea,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5658,axiom,(+ s__instance(s__UnitOfArea__t,s__SetOrClass) )).++fof(kb_SUMOcache_5659,axiom,(+ s__subclass(s__PrepositionalPhrase,s__Physical) )).++fof(kb_SUMOcache_5660,axiom,(+ s__subclass(s__PrepositionalPhrase,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_5661,axiom,(+ s__subclass(s__PrepositionalPhrase,s__LinguisticExpression) )).++fof(kb_SUMOcache_5662,axiom,(+ s__subclass(s__PrepositionalPhrase,s__Entity) )).++fof(kb_SUMOcache_5663,axiom,(+ s__instance(s__PrepositionalPhrase__t,s__SetOrClass) )).++fof(kb_SUMOcache_5664,axiom,(+ s__subclass(s__SpokenHumanLanguage,s__Physical) )).++fof(kb_SUMOcache_5665,axiom,(+ s__subclass(s__SpokenHumanLanguage,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_5666,axiom,(+ s__subclass(s__SpokenHumanLanguage,s__LinguisticExpression) )).++fof(kb_SUMOcache_5667,axiom,(+ s__subclass(s__SpokenHumanLanguage,s__Language) )).++fof(kb_SUMOcache_5668,axiom,(+ s__instance(s__SpokenHumanLanguage__t,s__SetOrClass) )).++fof(kb_SUMOcache_5669,axiom,(+ s__subclass(s__SpokenHumanLanguage,s__Entity) )).++fof(kb_SUMOcache_5670,axiom,(+ s__subclass(s__Electron,s__Physical) )).++fof(kb_SUMOcache_5671,axiom,(+ s__subclass(s__Electron,s__ElementalSubstance) )).++fof(kb_SUMOcache_5672,axiom,(+ s__subclass(s__Electron,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5673,axiom,(+ s__subclass(s__Electron,s__Substance) )).++fof(kb_SUMOcache_5674,axiom,(+ s__subclass(s__Electron,s__Object) )).++fof(kb_SUMOcache_5675,axiom,(+ s__subclass(s__Electron,s__PureSubstance) )).++fof(kb_SUMOcache_5676,axiom,(+ s__instance(s__Electron__t,s__SetOrClass) )).++fof(kb_SUMOcache_5677,axiom,(+ s__instance(s__PureSubstance__t,s__SetOrClass) )).++fof(kb_SUMOcache_5678,axiom,(+ s__subclass(s__Electron,s__Entity) )).++fof(kb_SUMOcache_5679,axiom,(+ s__subclass(s__Function,s__Relation) )).++fof(kb_SUMOcache_5680,axiom,(+ s__subclass(s__Function,s__Entity) )).++fof(kb_SUMOcache_5681,axiom,(+ s__subclass(s__Function,s__Abstract) )).++fof(kb_SUMOcache_5682,axiom,(+ s__subclass(s__Seed,s__Physical) )).++fof(kb_SUMOcache_5683,axiom,(+ s__subclass(s__Seed,s__BodyPart) )).++fof(kb_SUMOcache_5684,axiom,(+ s__subclass(s__Seed,s__AnatomicalStructure) )).++fof(kb_SUMOcache_5685,axiom,(+ s__subclass(s__Seed,s__OrganicObject) )).++fof(kb_SUMOcache_5686,axiom,(+ s__subclass(s__Seed,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5687,axiom,(+ s__subclass(s__Seed,s__OrganicThing) )).++fof(kb_SUMOcache_5688,axiom,(+ s__subclass(s__Seed,s__Object) )).++fof(kb_SUMOcache_5689,axiom,(+ s__instance(s__Seed__t,s__SetOrClass) )).++fof(kb_SUMOcache_5690,axiom,(+ s__subclass(s__Seed,s__CorpuscularObject) )).++fof(kb_SUMOcache_5691,axiom,(+ s__subclass(s__Seed,s__Entity) )).++fof(kb_SUMOcache_5692,axiom,(+ s__subclass(s__Ingesting,s__Physical) )).++fof(kb_SUMOcache_5693,axiom,(+ s__subclass(s__Ingesting,s__PhysiologicProcess) )).++fof(kb_SUMOcache_5694,axiom,(+ s__subclass(s__Ingesting,s__Process) )).++fof(kb_SUMOcache_5695,axiom,(+ s__subclass(s__Ingesting,s__InternalChange) )).++fof(kb_SUMOcache_5696,axiom,(+ s__subclass(s__Ingesting,s__BiologicalProcess) )).++fof(kb_SUMOcache_5697,axiom,(+ s__subclass(s__Ingesting,s__Entity) )).++fof(kb_SUMOcache_5698,axiom,(+ s__instance(s__Ingesting__t,s__SetOrClass) )).++fof(kb_SUMOcache_5699,axiom,(+ s__subclass(s__Roadway,s__Physical) )).++fof(kb_SUMOcache_5700,axiom,(+ s__subclass(s__Roadway,s__LandArea) )).++fof(kb_SUMOcache_5701,axiom,(+ s__instance(s__Roadway__t,s__SetOrClass) )).++fof(kb_SUMOcache_5702,axiom,(+ s__instance(s__LandArea__t,s__SetOrClass) )).++fof(kb_SUMOcache_5703,axiom,(+ s__subclass(s__Roadway,s__GeographicArea) )).++fof(kb_SUMOcache_5704,axiom,(+ s__subclass(s__Roadway,s__Region) )).++fof(kb_SUMOcache_5705,axiom,(+ s__subclass(s__Roadway,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5706,axiom,(+ s__subclass(s__Roadway,s__Transitway) )).++fof(kb_SUMOcache_5707,axiom,(+ s__subclass(s__Roadway,s__Object) )).++fof(kb_SUMOcache_5708,axiom,(+ s__subclass(s__Roadway,s__Entity) )).++fof(kb_SUMOcache_5709,axiom,(+ s__subclass(s__Fern,s__Physical) )).++fof(kb_SUMOcache_5710,axiom,(+ s__instance(s__Fern__t,s__SetOrClass) )).++fof(kb_SUMOcache_5711,axiom,(+ s__subclass(s__Fern,s__Plant) )).++fof(kb_SUMOcache_5712,axiom,(+ s__subclass(s__Fern,s__OrganicObject) )).++fof(kb_SUMOcache_5713,axiom,(+ s__subclass(s__Fern,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5714,axiom,(+ s__subclass(s__Fern,s__Agent) )).++fof(kb_SUMOcache_5715,axiom,(+ s__subclass(s__Fern,s__OrganicThing) )).++fof(kb_SUMOcache_5716,axiom,(+ s__subclass(s__Fern,s__Organism) )).++fof(kb_SUMOcache_5717,axiom,(+ s__subclass(s__Fern,s__CorpuscularObject) )).++fof(kb_SUMOcache_5718,axiom,(+ s__subclass(s__Fern,s__Object) )).++fof(kb_SUMOcache_5719,axiom,(+ s__subclass(s__Fern,s__Entity) )).++fof(kb_SUMOcache_5720,axiom,(+ s__subclass(s__Nutrient,s__Physical) )).++fof(kb_SUMOcache_5721,axiom,(+ s__subclass(s__Nutrient,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5722,axiom,(+ s__subclass(s__Nutrient,s__Substance) )).++fof(kb_SUMOcache_5723,axiom,(+ s__subclass(s__Nutrient,s__Object) )).++fof(kb_SUMOcache_5724,axiom,(+ s__subclass(s__Nutrient,s__Entity) )).++fof(kb_SUMOcache_5725,axiom,(+ s__subclass(s__MilitaryForce,s__Physical) )).++fof(kb_SUMOcache_5726,axiom,(+ s__subclass(s__MilitaryForce,s__Collection) )).++fof(kb_SUMOcache_5727,axiom,(+ s__subclass(s__MilitaryForce,s__Agent) )).++fof(kb_SUMOcache_5728,axiom,(+ s__subclass(s__MilitaryForce,s__Organization) )).++fof(kb_SUMOcache_5729,axiom,(+ s__subclass(s__MilitaryForce,s__Group) )).++fof(kb_SUMOcache_5730,axiom,(+ s__subclass(s__MilitaryForce,s__Object) )).++fof(kb_SUMOcache_5731,axiom,(+ s__subclass(s__MilitaryForce,s__Entity) )).++fof(kb_SUMOcache_5732,axiom,(+ s__instance(s__MilitaryForce__t,s__SetOrClass) )).++fof(kb_SUMOcache_5733,axiom,(+ s__subclass(s__Oval,s__TwoDimensionalFigure) )).++fof(kb_SUMOcache_5734,axiom,(+ s__instance(s__Oval__t,s__SetOrClass) )).++fof(kb_SUMOcache_5735,axiom,(+ s__subclass(s__Oval,s__StructureAttribute) )).++fof(kb_SUMOcache_5736,axiom,(+ s__subclass(s__Oval,s__GeometricFigure) )).++fof(kb_SUMOcache_5737,axiom,(+ s__subclass(s__Oval,s__ShapeAttribute) )).++fof(kb_SUMOcache_5738,axiom,(+ s__subclass(s__Oval,s__Attribute) )).++fof(kb_SUMOcache_5739,axiom,(+ s__subclass(s__Oval,s__InternalAttribute) )).++fof(kb_SUMOcache_5740,axiom,(+ s__subclass(s__Oval,s__Entity) )).++fof(kb_SUMOcache_5741,axiom,(+ s__subclass(s__Oval,s__Abstract) )).++fof(kb_SUMOcache_5742,axiom,(+ s__subclass(s__Clothing,s__Physical) )).++fof(kb_SUMOcache_5743,axiom,(+ s__instance(s__Clothing__t,s__SetOrClass) )).++fof(kb_SUMOcache_5744,axiom,(+ s__subclass(s__Clothing,s__Artifact) )).++fof(kb_SUMOcache_5745,axiom,(+ s__subclass(s__Clothing,s__Object) )).++fof(kb_SUMOcache_5746,axiom,(+ s__subclass(s__Clothing,s__Entity) )).++fof(kb_SUMOcache_5747,axiom,(+ s__subclass(s__RealNumber,s__Quantity) )).++fof(kb_SUMOcache_5748,axiom,(+ s__subclass(s__RealNumber,s__Entity) )).++fof(kb_SUMOcache_5749,axiom,(+ s__subclass(s__RealNumber,s__Abstract) )).++fof(kb_SUMOcache_5750,axiom,(+ s__instance(s__RealNumber__t,s__SetOrClass) )).++fof(kb_SUMOcache_5751,axiom,(+ s__subclass(s__Pollen,s__Physical) )).++fof(kb_SUMOcache_5752,axiom,(+ s__instance(s__Pollen__t,s__SetOrClass) )).++fof(kb_SUMOcache_5753,axiom,(+ s__subclass(s__Pollen,s__BodyPart) )).++fof(kb_SUMOcache_5754,axiom,(+ s__subclass(s__Pollen,s__AnatomicalStructure) )).++fof(kb_SUMOcache_5755,axiom,(+ s__subclass(s__Pollen,s__OrganicObject) )).++fof(kb_SUMOcache_5756,axiom,(+ s__subclass(s__Pollen,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5757,axiom,(+ s__subclass(s__Pollen,s__OrganicThing) )).++fof(kb_SUMOcache_5758,axiom,(+ s__subclass(s__Pollen,s__Object) )).++fof(kb_SUMOcache_5759,axiom,(+ s__subclass(s__Pollen,s__CorpuscularObject) )).++fof(kb_SUMOcache_5760,axiom,(+ s__subclass(s__Pollen,s__Entity) )).++fof(kb_SUMOcache_5761,axiom,(+ s__subclass(s__Moss,s__Physical) )).++fof(kb_SUMOcache_5762,axiom,(+ s__subclass(s__Moss,s__Plant) )).++fof(kb_SUMOcache_5763,axiom,(+ s__subclass(s__Moss,s__OrganicObject) )).++fof(kb_SUMOcache_5764,axiom,(+ s__subclass(s__Moss,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5765,axiom,(+ s__subclass(s__Moss,s__Agent) )).++fof(kb_SUMOcache_5766,axiom,(+ s__subclass(s__Moss,s__OrganicThing) )).++fof(kb_SUMOcache_5767,axiom,(+ s__subclass(s__Moss,s__Organism) )).++fof(kb_SUMOcache_5768,axiom,(+ s__subclass(s__Moss,s__CorpuscularObject) )).++fof(kb_SUMOcache_5769,axiom,(+ s__subclass(s__Moss,s__Object) )).++fof(kb_SUMOcache_5770,axiom,(+ s__instance(s__Moss__t,s__SetOrClass) )).++fof(kb_SUMOcache_5771,axiom,(+ s__subclass(s__Moss,s__Entity) )).++fof(kb_SUMOcache_5772,axiom,(+ s__subclass(s__Hour,s__ConstantQuantity) )).++fof(kb_SUMOcache_5773,axiom,(+ s__subclass(s__Hour,s__Quantity) )).++fof(kb_SUMOcache_5774,axiom,(+ s__instance(s__Hour__t,s__SetOrClass) )).++fof(kb_SUMOcache_5775,axiom,(+ s__subclass(s__Hour,s__TimeMeasure) )).++fof(kb_SUMOcache_5776,axiom,(+ s__subclass(s__Hour,s__TimePosition) )).++fof(kb_SUMOcache_5777,axiom,(+ s__subclass(s__Hour,s__Entity) )).++fof(kb_SUMOcache_5778,axiom,(+ s__subclass(s__Hour,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5779,axiom,(+ s__subclass(s__Hour,s__Abstract) )).++fof(kb_SUMOcache_5780,axiom,(+ s__subclass(s__Myriapod,s__Physical) )).++fof(kb_SUMOcache_5781,axiom,(+ s__subclass(s__Myriapod,s__OrganicObject) )).++fof(kb_SUMOcache_5782,axiom,(+ s__subclass(s__Myriapod,s__Invertebrate) )).++fof(kb_SUMOcache_5783,axiom,(+ s__subclass(s__Myriapod,s__Agent) )).++fof(kb_SUMOcache_5784,axiom,(+ s__subclass(s__Myriapod,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5785,axiom,(+ s__subclass(s__Myriapod,s__Animal) )).++fof(kb_SUMOcache_5786,axiom,(+ s__subclass(s__Myriapod,s__OrganicThing) )).++fof(kb_SUMOcache_5787,axiom,(+ s__instance(s__Myriapod__t,s__SetOrClass) )).++fof(kb_SUMOcache_5788,axiom,(+ s__subclass(s__Myriapod,s__Organism) )).++fof(kb_SUMOcache_5789,axiom,(+ s__subclass(s__Myriapod,s__Object) )).++fof(kb_SUMOcache_5790,axiom,(+ s__subclass(s__Myriapod,s__CorpuscularObject) )).++fof(kb_SUMOcache_5791,axiom,(+ s__subclass(s__Myriapod,s__Entity) )).++fof(kb_SUMOcache_5792,axiom,(+ s__subclass(s__July,s__Quantity) )).++fof(kb_SUMOcache_5793,axiom,(+ s__subclass(s__July,s__ConstantQuantity) )).++fof(kb_SUMOcache_5794,axiom,(+ s__instance(s__July__t,s__SetOrClass) )).++fof(kb_SUMOcache_5795,axiom,(+ s__subclass(s__July,s__TimeMeasure) )).++fof(kb_SUMOcache_5796,axiom,(+ s__subclass(s__July,s__TimeInterval) )).++fof(kb_SUMOcache_5797,axiom,(+ s__subclass(s__July,s__TimePosition) )).++fof(kb_SUMOcache_5798,axiom,(+ s__subclass(s__July,s__Entity) )).++fof(kb_SUMOcache_5799,axiom,(+ s__subclass(s__July,s__Abstract) )).++fof(kb_SUMOcache_5800,axiom,(+ s__subclass(s__July,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5801,axiom,(+ s__subclass(s__Language,s__Physical) )).++fof(kb_SUMOcache_5802,axiom,(+ s__instance(s__Language__t,s__SetOrClass) )).++fof(kb_SUMOcache_5803,axiom,(+ s__subclass(s__Language,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_5804,axiom,(+ s__subclass(s__Language,s__Entity) )).++fof(kb_SUMOcache_5805,axiom,(+ s__subclass(s__Microorganism,s__Physical) )).++fof(kb_SUMOcache_5806,axiom,(+ s__subclass(s__Microorganism,s__OrganicObject) )).++fof(kb_SUMOcache_5807,axiom,(+ s__subclass(s__Microorganism,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5808,axiom,(+ s__instance(s__Microorganism__t,s__SetOrClass) )).++fof(kb_SUMOcache_5809,axiom,(+ s__subclass(s__Microorganism,s__Agent) )).++fof(kb_SUMOcache_5810,axiom,(+ s__subclass(s__Microorganism,s__OrganicThing) )).++fof(kb_SUMOcache_5811,axiom,(+ s__subclass(s__Microorganism,s__CorpuscularObject) )).++fof(kb_SUMOcache_5812,axiom,(+ s__subclass(s__Microorganism,s__Object) )).++fof(kb_SUMOcache_5813,axiom,(+ s__subclass(s__Microorganism,s__Entity) )).++fof(kb_SUMOcache_5814,axiom,(+ s__subclass(s__PrimeNumber,s__Quantity) )).++fof(kb_SUMOcache_5815,axiom,(+ s__subclass(s__PrimeNumber,s__Number) )).++fof(kb_SUMOcache_5816,axiom,(+ s__subclass(s__PrimeNumber,s__RealNumber) )).++fof(kb_SUMOcache_5817,axiom,(+ s__subclass(s__PrimeNumber,s__Entity) )).++fof(kb_SUMOcache_5818,axiom,(+ s__subclass(s__PrimeNumber,s__Abstract) )).++fof(kb_SUMOcache_5819,axiom,(+ s__instance(s__PrimeNumber__t,s__SetOrClass) )).++fof(kb_SUMOcache_5820,axiom,(+ s__subclass(s__PrimeNumber,s__RationalNumber) )).++fof(kb_SUMOcache_5821,axiom,(+ s__subclass(s__December,s__Quantity) )).++fof(kb_SUMOcache_5822,axiom,(+ s__subclass(s__December,s__ConstantQuantity) )).++fof(kb_SUMOcache_5823,axiom,(+ s__instance(s__December__t,s__SetOrClass) )).++fof(kb_SUMOcache_5824,axiom,(+ s__subclass(s__December,s__TimeMeasure) )).++fof(kb_SUMOcache_5825,axiom,(+ s__subclass(s__December,s__TimeInterval) )).++fof(kb_SUMOcache_5826,axiom,(+ s__subclass(s__December,s__TimePosition) )).++fof(kb_SUMOcache_5827,axiom,(+ s__subclass(s__December,s__Entity) )).++fof(kb_SUMOcache_5828,axiom,(+ s__subclass(s__December,s__Abstract) )).++fof(kb_SUMOcache_5829,axiom,(+ s__subclass(s__December,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5830,axiom,(+ s__subclass(s__PhysicalQuantity,s__Entity) )).++fof(kb_SUMOcache_5831,axiom,(+ s__subclass(s__PhysicalQuantity,s__Abstract) )).++fof(kb_SUMOcache_5832,axiom,(+ s__subclass(s__Breathing,s__Physical) )).++fof(kb_SUMOcache_5833,axiom,(+ s__instance(s__Breathing__t,s__SetOrClass) )).++fof(kb_SUMOcache_5834,axiom,(+ s__subclass(s__Breathing,s__PhysiologicProcess) )).++fof(kb_SUMOcache_5835,axiom,(+ s__subclass(s__Breathing,s__Process) )).++fof(kb_SUMOcache_5836,axiom,(+ s__subclass(s__Breathing,s__InternalChange) )).++fof(kb_SUMOcache_5837,axiom,(+ s__subclass(s__Breathing,s__BiologicalProcess) )).++fof(kb_SUMOcache_5838,axiom,(+ s__subclass(s__Breathing,s__Entity) )).++fof(kb_SUMOcache_5839,axiom,(+ s__subclass(s__TwoDimensionalFigure,s__StructureAttribute) )).++fof(kb_SUMOcache_5840,axiom,(+ s__subclass(s__TwoDimensionalFigure,s__ShapeAttribute) )).++fof(kb_SUMOcache_5841,axiom,(+ s__subclass(s__TwoDimensionalFigure,s__Attribute) )).++fof(kb_SUMOcache_5842,axiom,(+ s__subclass(s__TwoDimensionalFigure,s__InternalAttribute) )).++fof(kb_SUMOcache_5843,axiom,(+ s__subclass(s__TwoDimensionalFigure,s__Entity) )).++fof(kb_SUMOcache_5844,axiom,(+ s__subclass(s__TwoDimensionalFigure,s__Abstract) )).++fof(kb_SUMOcache_5845,axiom,(+ s__subclass(s__RadiatingInfrared,s__Physical) )).++fof(kb_SUMOcache_5846,axiom,(+ s__subclass(s__RadiatingInfrared,s__Motion) )).++fof(kb_SUMOcache_5847,axiom,(+ s__subclass(s__RadiatingInfrared,s__Process) )).++fof(kb_SUMOcache_5848,axiom,(+ s__instance(s__RadiatingInfrared__t,s__SetOrClass) )).++fof(kb_SUMOcache_5849,axiom,(+ s__subclass(s__RadiatingInfrared,s__Radiating) )).++fof(kb_SUMOcache_5850,axiom,(+ s__subclass(s__RadiatingInfrared,s__Entity) )).++fof(kb_SUMOcache_5851,axiom,(+ s__subclass(s__AlethicAttribute,s__Attribute) )).++fof(kb_SUMOcache_5852,axiom,(+ s__subclass(s__AlethicAttribute,s__NormativeAttribute) )).++fof(kb_SUMOcache_5853,axiom,(+ s__subclass(s__AlethicAttribute,s__RelationalAttribute) )).++fof(kb_SUMOcache_5854,axiom,(+ s__subclass(s__AlethicAttribute,s__Abstract) )).++fof(kb_SUMOcache_5855,axiom,(+ s__subclass(s__AlethicAttribute,s__Entity) )).++fof(kb_SUMOcache_5856,axiom,(+ s__instance(s__AlethicAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_5857,axiom,(+ s__subclass(s__Calculating,s__Physical) )).++fof(kb_SUMOcache_5858,axiom,(+ s__subclass(s__Calculating,s__Process) )).++fof(kb_SUMOcache_5859,axiom,(+ s__subclass(s__Calculating,s__PsychologicalProcess) )).++fof(kb_SUMOcache_5860,axiom,(+ s__subclass(s__Calculating,s__InternalChange) )).++fof(kb_SUMOcache_5861,axiom,(+ s__subclass(s__Calculating,s__BiologicalProcess) )).++fof(kb_SUMOcache_5862,axiom,(+ s__instance(s__Calculating__t,s__SetOrClass) )).++fof(kb_SUMOcache_5863,axiom,(+ s__subclass(s__Calculating,s__IntentionalProcess) )).++fof(kb_SUMOcache_5864,axiom,(+ s__subclass(s__Calculating,s__Entity) )).++fof(kb_SUMOcache_5865,axiom,(+ s__subclass(s__AsymmetricRelation,s__Relation) )).++fof(kb_SUMOcache_5866,axiom,(+ s__subclass(s__AsymmetricRelation,s__InheritableRelation) )).++fof(kb_SUMOcache_5867,axiom,(+ s__subclass(s__AsymmetricRelation,s__BinaryRelation) )).++fof(kb_SUMOcache_5868,axiom,(+ s__subclass(s__AsymmetricRelation,s__Abstract) )).++fof(kb_SUMOcache_5869,axiom,(+ s__subclass(s__AsymmetricRelation,s__Entity) )).++fof(kb_SUMOcache_5870,axiom,(+ s__subclass(s__TasteAttribute,s__Attribute) )).++fof(kb_SUMOcache_5871,axiom,(+ s__subclass(s__TasteAttribute,s__Abstract) )).++fof(kb_SUMOcache_5872,axiom,(+ s__subclass(s__TasteAttribute,s__Entity) )).++fof(kb_SUMOcache_5873,axiom,(+ s__instance(s__TasteAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_5874,axiom,(+ s__subclass(s__Monday,s__ConstantQuantity) )).++fof(kb_SUMOcache_5875,axiom,(+ s__instance(s__Monday__t,s__SetOrClass) )).++fof(kb_SUMOcache_5876,axiom,(+ s__subclass(s__Monday,s__Quantity) )).++fof(kb_SUMOcache_5877,axiom,(+ s__subclass(s__Monday,s__TimeMeasure) )).++fof(kb_SUMOcache_5878,axiom,(+ s__subclass(s__Monday,s__TimeInterval) )).++fof(kb_SUMOcache_5879,axiom,(+ s__subclass(s__Monday,s__TimePosition) )).++fof(kb_SUMOcache_5880,axiom,(+ s__subclass(s__Monday,s__Entity) )).++fof(kb_SUMOcache_5881,axiom,(+ s__subclass(s__Monday,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5882,axiom,(+ s__subclass(s__Monday,s__Abstract) )).++fof(kb_SUMOcache_5883,axiom,(+ s__subclass(s__Surgery,s__Physical) )).++fof(kb_SUMOcache_5884,axiom,(+ s__instance(s__Surgery__t,s__SetOrClass) )).++fof(kb_SUMOcache_5885,axiom,(+ s__subclass(s__Surgery,s__Process) )).++fof(kb_SUMOcache_5886,axiom,(+ s__subclass(s__Surgery,s__IntentionalProcess) )).++fof(kb_SUMOcache_5887,axiom,(+ s__subclass(s__Surgery,s__Repairing) )).++fof(kb_SUMOcache_5888,axiom,(+ s__instance(s__Repairing__t,s__SetOrClass) )).++fof(kb_SUMOcache_5889,axiom,(+ s__subclass(s__Surgery,s__Entity) )).++fof(kb_SUMOcache_5890,axiom,(+ s__subclass(s__Graph,s__Entity) )).++fof(kb_SUMOcache_5891,axiom,(+ s__subclass(s__Arachnid,s__Physical) )).++fof(kb_SUMOcache_5892,axiom,(+ s__subclass(s__Arachnid,s__OrganicObject) )).++fof(kb_SUMOcache_5893,axiom,(+ s__subclass(s__Arachnid,s__Invertebrate) )).++fof(kb_SUMOcache_5894,axiom,(+ s__subclass(s__Arachnid,s__Agent) )).++fof(kb_SUMOcache_5895,axiom,(+ s__subclass(s__Arachnid,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5896,axiom,(+ s__subclass(s__Arachnid,s__Animal) )).++fof(kb_SUMOcache_5897,axiom,(+ s__instance(s__Arachnid__t,s__SetOrClass) )).++fof(kb_SUMOcache_5898,axiom,(+ s__subclass(s__Arachnid,s__OrganicThing) )).++fof(kb_SUMOcache_5899,axiom,(+ s__subclass(s__Arachnid,s__Organism) )).++fof(kb_SUMOcache_5900,axiom,(+ s__subclass(s__Arachnid,s__Object) )).++fof(kb_SUMOcache_5901,axiom,(+ s__subclass(s__Arachnid,s__CorpuscularObject) )).++fof(kb_SUMOcache_5902,axiom,(+ s__subclass(s__Arachnid,s__Entity) )).++fof(kb_SUMOcache_5903,axiom,(+ s__subclass(s__Continent,s__Physical) )).++fof(kb_SUMOcache_5904,axiom,(+ s__subclass(s__Continent,s__GeographicArea) )).++fof(kb_SUMOcache_5905,axiom,(+ s__subclass(s__Continent,s__Region) )).++fof(kb_SUMOcache_5906,axiom,(+ s__subclass(s__Continent,s__Object) )).++fof(kb_SUMOcache_5907,axiom,(+ s__instance(s__Continent__t,s__SetOrClass) )).++fof(kb_SUMOcache_5908,axiom,(+ s__subclass(s__Continent,s__Entity) )).++fof(kb_SUMOcache_5909,axiom,(+ s__subclass(s__Set,s__Abstract) )).++fof(kb_SUMOcache_5910,axiom,(+ s__subclass(s__Set,s__Entity) )).++fof(kb_SUMOcache_5911,axiom,(+ s__instance(s__Set__t,s__SetOrClass) )).++fof(kb_SUMOcache_5912,axiom,(+ s__subclass(s__SymmetricRelation,s__Relation) )).++fof(kb_SUMOcache_5913,axiom,(+ s__subclass(s__SymmetricRelation,s__InheritableRelation) )).++fof(kb_SUMOcache_5914,axiom,(+ s__subclass(s__SymmetricRelation,s__Abstract) )).++fof(kb_SUMOcache_5915,axiom,(+ s__subclass(s__SymmetricRelation,s__Entity) )).++fof(kb_SUMOcache_5916,axiom,(+ s__subclass(s__Wind,s__Physical) )).++fof(kb_SUMOcache_5917,axiom,(+ s__subclass(s__Wind,s__Motion) )).++fof(kb_SUMOcache_5918,axiom,(+ s__subclass(s__Wind,s__Process) )).++fof(kb_SUMOcache_5919,axiom,(+ s__subclass(s__Wind,s__Entity) )).++fof(kb_SUMOcache_5920,axiom,(+ s__instance(s__Wind__t,s__SetOrClass) )).++fof(kb_SUMOcache_5921,axiom,(+ s__subclass(s__Vehicle,s__Physical) )).++fof(kb_SUMOcache_5922,axiom,(+ s__subclass(s__Vehicle,s__Artifact) )).++fof(kb_SUMOcache_5923,axiom,(+ s__subclass(s__Vehicle,s__Device) )).++fof(kb_SUMOcache_5924,axiom,(+ s__subclass(s__Vehicle,s__Object) )).++fof(kb_SUMOcache_5925,axiom,(+ s__instance(s__Vehicle__t,s__SetOrClass) )).++fof(kb_SUMOcache_5926,axiom,(+ s__subclass(s__Vehicle,s__Entity) )).++fof(kb_SUMOcache_5927,axiom,(+ s__subclass(s__SubatomicParticle,s__Physical) )).++fof(kb_SUMOcache_5928,axiom,(+ s__subclass(s__SubatomicParticle,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5929,axiom,(+ s__subclass(s__SubatomicParticle,s__Substance) )).++fof(kb_SUMOcache_5930,axiom,(+ s__instance(s__SubatomicParticle__t,s__SetOrClass) )).++fof(kb_SUMOcache_5931,axiom,(+ s__subclass(s__SubatomicParticle,s__Object) )).++fof(kb_SUMOcache_5932,axiom,(+ s__subclass(s__SubatomicParticle,s__Entity) )).++fof(kb_SUMOcache_5933,axiom,(+ s__subclass(s__SubatomicParticle,s__PureSubstance) )).++fof(kb_SUMOcache_5934,axiom,(+ s__subclass(s__PlaneAngleMeasure,s__Quantity) )).++fof(kb_SUMOcache_5935,axiom,(+ s__instance(s__PlaneAngleMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_5936,axiom,(+ s__subclass(s__PlaneAngleMeasure,s__ConstantQuantity) )).++fof(kb_SUMOcache_5937,axiom,(+ s__subclass(s__PlaneAngleMeasure,s__Entity) )).++fof(kb_SUMOcache_5938,axiom,(+ s__subclass(s__PlaneAngleMeasure,s__Abstract) )).++fof(kb_SUMOcache_5939,axiom,(+ s__subclass(s__PlaneAngleMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5940,axiom,(+ s__subclass(s__ContentBearingPhysical,s__Entity) )).++fof(kb_SUMOcache_5941,axiom,(+ s__subclass(s__UnitOfInformation,s__Quantity) )).++fof(kb_SUMOcache_5942,axiom,(+ s__instance(s__UnitOfInformation__t,s__SetOrClass) )).++fof(kb_SUMOcache_5943,axiom,(+ s__subclass(s__UnitOfInformation,s__UnitOfMeasure) )).++fof(kb_SUMOcache_5944,axiom,(+ s__subclass(s__UnitOfInformation,s__Entity) )).++fof(kb_SUMOcache_5945,axiom,(+ s__subclass(s__UnitOfInformation,s__Abstract) )).++fof(kb_SUMOcache_5946,axiom,(+ s__subclass(s__UnitOfInformation,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5947,axiom,(+ s__subclass(s__Transitway,s__Physical) )).++fof(kb_SUMOcache_5948,axiom,(+ s__subclass(s__Transitway,s__Object) )).++fof(kb_SUMOcache_5949,axiom,(+ s__instance(s__Transitway__t,s__SetOrClass) )).++fof(kb_SUMOcache_5950,axiom,(+ s__subclass(s__Transitway,s__Entity) )).++fof(kb_SUMOcache_5951,axiom,(+ s__subclass(s__WaterArea,s__Physical) )).++fof(kb_SUMOcache_5952,axiom,(+ s__subclass(s__WaterArea,s__Region) )).++fof(kb_SUMOcache_5953,axiom,(+ s__subclass(s__WaterArea,s__Object) )).++fof(kb_SUMOcache_5954,axiom,(+ s__instance(s__WaterArea__t,s__SetOrClass) )).++fof(kb_SUMOcache_5955,axiom,(+ s__subclass(s__WaterArea,s__Entity) )).++fof(kb_SUMOcache_5956,axiom,(+ s__subclass(s__Monkey,s__OrganicObject) )).++fof(kb_SUMOcache_5957,axiom,(+ s__subclass(s__Monkey,s__Animal) )).++fof(kb_SUMOcache_5958,axiom,(+ s__instance(s__Monkey__t,s__SetOrClass) )).++fof(kb_SUMOcache_5959,axiom,(+ s__instance(s__Animal__t,s__SetOrClass) )).++fof(kb_SUMOcache_5960,axiom,(+ s__subclass(s__Monkey,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_5961,axiom,(+ s__subclass(s__Monkey,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5962,axiom,(+ s__subclass(s__Monkey,s__Agent) )).++fof(kb_SUMOcache_5963,axiom,(+ s__subclass(s__Monkey,s__Physical) )).++fof(kb_SUMOcache_5964,axiom,(+ s__subclass(s__Monkey,s__Vertebrate) )).++fof(kb_SUMOcache_5965,axiom,(+ s__subclass(s__Monkey,s__Mammal) )).++fof(kb_SUMOcache_5966,axiom,(+ s__subclass(s__Monkey,s__OrganicThing) )).++fof(kb_SUMOcache_5967,axiom,(+ s__subclass(s__Monkey,s__Organism) )).++fof(kb_SUMOcache_5968,axiom,(+ s__subclass(s__Monkey,s__CorpuscularObject) )).++fof(kb_SUMOcache_5969,axiom,(+ s__subclass(s__Monkey,s__Object) )).++fof(kb_SUMOcache_5970,axiom,(+ s__subclass(s__Monkey,s__Entity) )).++fof(kb_SUMOcache_5971,axiom,(+ s__subclass(s__UnitOfAtmosphericPressure,s__Quantity) )).++fof(kb_SUMOcache_5972,axiom,(+ s__instance(s__UnitOfAtmosphericPressure__t,s__SetOrClass) )).++fof(kb_SUMOcache_5973,axiom,(+ s__subclass(s__UnitOfAtmosphericPressure,s__UnitOfMeasure) )).++fof(kb_SUMOcache_5974,axiom,(+ s__subclass(s__UnitOfAtmosphericPressure,s__Entity) )).++fof(kb_SUMOcache_5975,axiom,(+ s__subclass(s__UnitOfAtmosphericPressure,s__Abstract) )).++fof(kb_SUMOcache_5976,axiom,(+ s__subclass(s__UnitOfAtmosphericPressure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_5977,axiom,(+ s__subclass(s__Mineral,s__Physical) )).++fof(kb_SUMOcache_5978,axiom,(+ s__instance(s__Mineral__t,s__SetOrClass) )).++fof(kb_SUMOcache_5979,axiom,(+ s__subclass(s__Mineral,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5980,axiom,(+ s__subclass(s__Mineral,s__Object) )).++fof(kb_SUMOcache_5981,axiom,(+ s__subclass(s__Mineral,s__Entity) )).++fof(kb_SUMOcache_5982,axiom,(+ s__subclass(s__WearableItem,s__Physical) )).++fof(kb_SUMOcache_5983,axiom,(+ s__subclass(s__WearableItem,s__Object) )).++fof(kb_SUMOcache_5984,axiom,(+ s__instance(s__WearableItem__t,s__SetOrClass) )).++fof(kb_SUMOcache_5985,axiom,(+ s__subclass(s__WearableItem,s__Entity) )).++fof(kb_SUMOcache_5986,axiom,(+ s__subclass(s__ResidentialBuilding,s__Physical) )).++fof(kb_SUMOcache_5987,axiom,(+ s__instance(s__ResidentialBuilding__t,s__SetOrClass) )).++fof(kb_SUMOcache_5988,axiom,(+ s__subclass(s__ResidentialBuilding,s__Artifact) )).++fof(kb_SUMOcache_5989,axiom,(+ s__subclass(s__ResidentialBuilding,s__StationaryArtifact) )).++fof(kb_SUMOcache_5990,axiom,(+ s__subclass(s__ResidentialBuilding,s__Object) )).++fof(kb_SUMOcache_5991,axiom,(+ s__subclass(s__ResidentialBuilding,s__Entity) )).++fof(kb_SUMOcache_5992,axiom,(+ s__subclass(s__Bone,s__Physical) )).++fof(kb_SUMOcache_5993,axiom,(+ s__instance(s__Bone__t,s__SetOrClass) )).++fof(kb_SUMOcache_5994,axiom,(+ s__subclass(s__Bone,s__BodySubstance) )).++fof(kb_SUMOcache_5995,axiom,(+ s__subclass(s__Bone,s__SelfConnectedObject) )).++fof(kb_SUMOcache_5996,axiom,(+ s__subclass(s__Bone,s__Substance) )).++fof(kb_SUMOcache_5997,axiom,(+ s__subclass(s__Bone,s__Object) )).++fof(kb_SUMOcache_5998,axiom,(+ s__subclass(s__Bone,s__Entity) )).++fof(kb_SUMOcache_5999,axiom,(+ s__subclass(s__SpatialRelation,s__Entity) )).++fof(kb_SUMOcache_6000,axiom,(+ s__instance(s__SpatialRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_6001,axiom,(+ s__subclass(s__SpatialRelation,s__Abstract) )).++fof(kb_SUMOcache_6002,axiom,(+ s__subclass(s__Ambulating,s__Physical) )).++fof(kb_SUMOcache_6003,axiom,(+ s__instance(s__Ambulating__t,s__SetOrClass) )).++fof(kb_SUMOcache_6004,axiom,(+ s__subclass(s__Ambulating,s__Motion) )).++fof(kb_SUMOcache_6005,axiom,(+ s__subclass(s__Ambulating,s__Process) )).++fof(kb_SUMOcache_6006,axiom,(+ s__subclass(s__Ambulating,s__Entity) )).++fof(kb_SUMOcache_6007,axiom,(+ s__subclass(s__ConstantQuantity,s__Quantity) )).++fof(kb_SUMOcache_6008,axiom,(+ s__subclass(s__ConstantQuantity,s__Entity) )).++fof(kb_SUMOcache_6009,axiom,(+ s__subclass(s__ConstantQuantity,s__Abstract) )).++fof(kb_SUMOcache_6010,axiom,(+ s__subclass(s__DualObjectProcess,s__Physical) )).++fof(kb_SUMOcache_6011,axiom,(+ s__subclass(s__DualObjectProcess,s__Entity) )).++fof(kb_SUMOcache_6012,axiom,(+ s__subclass(s__Maintaining,s__Physical) )).++fof(kb_SUMOcache_6013,axiom,(+ s__instance(s__Maintaining__t,s__SetOrClass) )).++fof(kb_SUMOcache_6014,axiom,(+ s__subclass(s__Maintaining,s__Process) )).++fof(kb_SUMOcache_6015,axiom,(+ s__subclass(s__Maintaining,s__Entity) )).++fof(kb_SUMOcache_6016,axiom,(+ s__subclass(s__Writing,s__Physical) )).++fof(kb_SUMOcache_6017,axiom,(+ s__instance(s__Writing__t,s__SetOrClass) )).++fof(kb_SUMOcache_6018,axiom,(+ s__subclass(s__Writing,s__Process) )).++fof(kb_SUMOcache_6019,axiom,(+ s__subclass(s__Writing,s__IntentionalProcess) )).++fof(kb_SUMOcache_6020,axiom,(+ s__subclass(s__Writing,s__Entity) )).++fof(kb_SUMOcache_6021,axiom,(+ s__subclass(s__ContentBearingProcess,s__Physical) )).++fof(kb_SUMOcache_6022,axiom,(+ s__subclass(s__ContentBearingProcess,s__Entity) )).++fof(kb_SUMOcache_6023,axiom,(+ s__subclass(s__SurfaceChange,s__Physical) )).++fof(kb_SUMOcache_6024,axiom,(+ s__subclass(s__SurfaceChange,s__Process) )).++fof(kb_SUMOcache_6025,axiom,(+ s__subclass(s__SurfaceChange,s__Entity) )).++fof(kb_SUMOcache_6026,axiom,(+ s__instance(s__SurfaceChange__t,s__SetOrClass) )).++fof(kb_SUMOcache_6027,axiom,(+ s__subclass(s__InformationMeasure,s__Quantity) )).++fof(kb_SUMOcache_6028,axiom,(+ s__subclass(s__InformationMeasure,s__Entity) )).++fof(kb_SUMOcache_6029,axiom,(+ s__subclass(s__InformationMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6030,axiom,(+ s__subclass(s__InformationMeasure,s__Abstract) )).++fof(kb_SUMOcache_6031,axiom,(+ s__instance(s__InformationMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_6032,axiom,(+ s__subclass(s__OrganicObject,s__Physical) )).++fof(kb_SUMOcache_6033,axiom,(+ s__subclass(s__OrganicObject,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6034,axiom,(+ s__subclass(s__OrganicObject,s__Object) )).++fof(kb_SUMOcache_6035,axiom,(+ s__subclass(s__OrganicObject,s__Entity) )).++fof(kb_SUMOcache_6036,axiom,(+ s__subclass(s__Maneuver,s__Physical) )).++fof(kb_SUMOcache_6037,axiom,(+ s__instance(s__Maneuver__t,s__SetOrClass) )).++fof(kb_SUMOcache_6038,axiom,(+ s__subclass(s__Maneuver,s__Process) )).++fof(kb_SUMOcache_6039,axiom,(+ s__subclass(s__Maneuver,s__Entity) )).++fof(kb_SUMOcache_6040,axiom,(+ s__subclass(s__Device,s__Physical) )).++fof(kb_SUMOcache_6041,axiom,(+ s__subclass(s__Device,s__Object) )).++fof(kb_SUMOcache_6042,axiom,(+ s__subclass(s__Device,s__Entity) )).++fof(kb_SUMOcache_6043,axiom,(+ s__instance(s__Device__t,s__SetOrClass) )).++fof(kb_SUMOcache_6044,axiom,(+ s__subclass(s__Human,s__OrganicObject) )).++fof(kb_SUMOcache_6045,axiom,(+ s__subclass(s__Human,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6046,axiom,(+ s__subclass(s__Human,s__Agent) )).++fof(kb_SUMOcache_6047,axiom,(+ s__subclass(s__Human,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_6048,axiom,(+ s__subclass(s__Human,s__Animal) )).++fof(kb_SUMOcache_6049,axiom,(+ s__instance(s__Human__t,s__SetOrClass) )).++fof(kb_SUMOcache_6050,axiom,(+ s__subclass(s__Human,s__Physical) )).++fof(kb_SUMOcache_6051,axiom,(+ s__subclass(s__Human,s__SentientAgent) )).++fof(kb_SUMOcache_6052,axiom,(+ s__subclass(s__Human,s__Vertebrate) )).++fof(kb_SUMOcache_6053,axiom,(+ s__subclass(s__Human,s__Mammal) )).++fof(kb_SUMOcache_6054,axiom,(+ s__subclass(s__Human,s__OrganicThing) )).++fof(kb_SUMOcache_6055,axiom,(+ s__subclass(s__Human,s__Primate) )).++fof(kb_SUMOcache_6056,axiom,(+ s__subclass(s__Human,s__Organism) )).++fof(kb_SUMOcache_6057,axiom,(+ s__subclass(s__Human,s__CorpuscularObject) )).++fof(kb_SUMOcache_6058,axiom,(+ s__subclass(s__Human,s__Object) )).++fof(kb_SUMOcache_6059,axiom,(+ s__subclass(s__Human,s__Entity) )).++fof(kb_SUMOcache_6060,axiom,(+ s__subclass(s__TernaryPredicate,s__Relation) )).++fof(kb_SUMOcache_6061,axiom,(+ s__instance(s__TernaryPredicate__t,s__SetOrClass) )).++fof(kb_SUMOcache_6062,axiom,(+ s__subclass(s__TernaryPredicate,s__Entity) )).++fof(kb_SUMOcache_6063,axiom,(+ s__subclass(s__TernaryPredicate,s__Abstract) )).++fof(kb_SUMOcache_6064,axiom,(+ s__subclass(s__ComplexNumber,s__Quantity) )).++fof(kb_SUMOcache_6065,axiom,(+ s__subclass(s__ComplexNumber,s__Entity) )).++fof(kb_SUMOcache_6066,axiom,(+ s__instance(s__ComplexNumber__t,s__SetOrClass) )).++fof(kb_SUMOcache_6067,axiom,(+ s__subclass(s__ComplexNumber,s__Abstract) )).++fof(kb_SUMOcache_6068,axiom,(+ s__subclass(s__Speaking,s__Motion) )).++fof(kb_SUMOcache_6069,axiom,(+ s__instance(s__Speaking__t,s__SetOrClass) )).++fof(kb_SUMOcache_6070,axiom,(+ s__subclass(s__Speaking,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6071,axiom,(+ s__subclass(s__Speaking,s__SocialInteraction) )).++fof(kb_SUMOcache_6072,axiom,(+ s__subclass(s__Speaking,s__Communication) )).++fof(kb_SUMOcache_6073,axiom,(+ s__subclass(s__Speaking,s__Radiating) )).++fof(kb_SUMOcache_6074,axiom,(+ s__subclass(s__Speaking,s__RadiatingSound) )).++fof(kb_SUMOcache_6075,axiom,(+ s__subclass(s__Speaking,s__Physical) )).++fof(kb_SUMOcache_6076,axiom,(+ s__subclass(s__Speaking,s__Process) )).++fof(kb_SUMOcache_6077,axiom,(+ s__subclass(s__Speaking,s__IntentionalProcess) )).++fof(kb_SUMOcache_6078,axiom,(+ s__subclass(s__Speaking,s__ContentBearingProcess) )).++fof(kb_SUMOcache_6079,axiom,(+ s__subclass(s__Speaking,s__Entity) )).++fof(kb_SUMOcache_6080,axiom,(+ s__subclass(s__PerceptualAttribute,s__Abstract) )).++fof(kb_SUMOcache_6081,axiom,(+ s__subclass(s__PerceptualAttribute,s__Entity) )).++fof(kb_SUMOcache_6082,axiom,(+ s__subclass(s__ReproductiveBody,s__Physical) )).++fof(kb_SUMOcache_6083,axiom,(+ s__subclass(s__ReproductiveBody,s__OrganicObject) )).++fof(kb_SUMOcache_6084,axiom,(+ s__subclass(s__ReproductiveBody,s__AnatomicalStructure) )).++fof(kb_SUMOcache_6085,axiom,(+ s__subclass(s__ReproductiveBody,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6086,axiom,(+ s__subclass(s__ReproductiveBody,s__OrganicThing) )).++fof(kb_SUMOcache_6087,axiom,(+ s__subclass(s__ReproductiveBody,s__Object) )).++fof(kb_SUMOcache_6088,axiom,(+ s__subclass(s__ReproductiveBody,s__CorpuscularObject) )).++fof(kb_SUMOcache_6089,axiom,(+ s__subclass(s__ReproductiveBody,s__Entity) )).++fof(kb_SUMOcache_6090,axiom,(+ s__instance(s__ReproductiveBody__t,s__SetOrClass) )).++fof(kb_SUMOcache_6091,axiom,(+ s__subclass(s__Discovering,s__Physical) )).++fof(kb_SUMOcache_6092,axiom,(+ s__subclass(s__Discovering,s__Process) )).++fof(kb_SUMOcache_6093,axiom,(+ s__subclass(s__Discovering,s__PsychologicalProcess) )).++fof(kb_SUMOcache_6094,axiom,(+ s__subclass(s__Discovering,s__InternalChange) )).++fof(kb_SUMOcache_6095,axiom,(+ s__subclass(s__Discovering,s__BiologicalProcess) )).++fof(kb_SUMOcache_6096,axiom,(+ s__subclass(s__Discovering,s__IntentionalProcess) )).++fof(kb_SUMOcache_6097,axiom,(+ s__instance(s__Discovering__t,s__SetOrClass) )).++fof(kb_SUMOcache_6098,axiom,(+ s__subclass(s__Discovering,s__Entity) )).++fof(kb_SUMOcache_6099,axiom,(+ s__subclass(s__RelationExtendedToQuantities,s__Entity) )).++fof(kb_SUMOcache_6100,axiom,(+ s__instance(s__RelationExtendedToQuantities__t,s__SetOrClass) )).++fof(kb_SUMOcache_6101,axiom,(+ s__subclass(s__RelationExtendedToQuantities,s__Abstract) )).++fof(kb_SUMOcache_6102,axiom,(+ s__subclass(s__MassMeasure,s__Quantity) )).++fof(kb_SUMOcache_6103,axiom,(+ s__instance(s__MassMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_6104,axiom,(+ s__subclass(s__MassMeasure,s__Entity) )).++fof(kb_SUMOcache_6105,axiom,(+ s__subclass(s__MassMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6106,axiom,(+ s__subclass(s__MassMeasure,s__Abstract) )).++fof(kb_SUMOcache_6107,axiom,(+ s__subclass(s__Year,s__ConstantQuantity) )).++fof(kb_SUMOcache_6108,axiom,(+ s__instance(s__Year__t,s__SetOrClass) )).++fof(kb_SUMOcache_6109,axiom,(+ s__subclass(s__Year,s__Quantity) )).++fof(kb_SUMOcache_6110,axiom,(+ s__subclass(s__Year,s__TimeMeasure) )).++fof(kb_SUMOcache_6111,axiom,(+ s__subclass(s__Year,s__TimePosition) )).++fof(kb_SUMOcache_6112,axiom,(+ s__subclass(s__Year,s__Entity) )).++fof(kb_SUMOcache_6113,axiom,(+ s__subclass(s__Year,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6114,axiom,(+ s__subclass(s__Year,s__Abstract) )).++fof(kb_SUMOcache_6115,axiom,(+ s__subclass(s__Manufacture,s__Physical) )).++fof(kb_SUMOcache_6116,axiom,(+ s__instance(s__Manufacture__t,s__SetOrClass) )).++fof(kb_SUMOcache_6117,axiom,(+ s__subclass(s__Manufacture,s__Creation) )).++fof(kb_SUMOcache_6118,axiom,(+ s__subclass(s__Manufacture,s__Process) )).++fof(kb_SUMOcache_6119,axiom,(+ s__subclass(s__Manufacture,s__IntentionalProcess) )).++fof(kb_SUMOcache_6120,axiom,(+ s__subclass(s__Manufacture,s__InternalChange) )).++fof(kb_SUMOcache_6121,axiom,(+ s__subclass(s__Manufacture,s__Entity) )).++fof(kb_SUMOcache_6122,axiom,(+ s__subclass(s__Atom,s__Physical) )).++fof(kb_SUMOcache_6123,axiom,(+ s__subclass(s__Atom,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6124,axiom,(+ s__subclass(s__Atom,s__Substance) )).++fof(kb_SUMOcache_6125,axiom,(+ s__instance(s__Atom__t,s__SetOrClass) )).++fof(kb_SUMOcache_6126,axiom,(+ s__instance(s__Substance__t,s__SetOrClass) )).++fof(kb_SUMOcache_6127,axiom,(+ s__subclass(s__Atom,s__Object) )).++fof(kb_SUMOcache_6128,axiom,(+ s__subclass(s__Atom,s__Entity) )).++fof(kb_SUMOcache_6129,axiom,(+ s__subclass(s__Atom,s__PureSubstance) )).++fof(kb_SUMOcache_6130,axiom,(+ s__subclass(s__Wetting,s__Physical) )).++fof(kb_SUMOcache_6131,axiom,(+ s__subclass(s__Wetting,s__Motion) )).++fof(kb_SUMOcache_6132,axiom,(+ s__subclass(s__Wetting,s__Process) )).++fof(kb_SUMOcache_6133,axiom,(+ s__instance(s__Wetting__t,s__SetOrClass) )).++fof(kb_SUMOcache_6134,axiom,(+ s__subclass(s__Wetting,s__Translocation) )).++fof(kb_SUMOcache_6135,axiom,(+ s__subclass(s__Wetting,s__Transfer) )).++fof(kb_SUMOcache_6136,axiom,(+ s__subclass(s__Wetting,s__Entity) )).++fof(kb_SUMOcache_6137,axiom,(+ s__subclass(s__Enzyme,s__Physical) )).++fof(kb_SUMOcache_6138,axiom,(+ s__subclass(s__Enzyme,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6139,axiom,(+ s__subclass(s__Enzyme,s__Nutrient) )).++fof(kb_SUMOcache_6140,axiom,(+ s__instance(s__Nutrient__t,s__SetOrClass) )).++fof(kb_SUMOcache_6141,axiom,(+ s__subclass(s__Enzyme,s__Substance) )).++fof(kb_SUMOcache_6142,axiom,(+ s__subclass(s__Enzyme,s__BiologicallyActiveSubstance) )).++fof(kb_SUMOcache_6143,axiom,(+ s__instance(s__Enzyme__t,s__SetOrClass) )).++fof(kb_SUMOcache_6144,axiom,(+ s__subclass(s__Enzyme,s__Object) )).++fof(kb_SUMOcache_6145,axiom,(+ s__subclass(s__Enzyme,s__Entity) )).++fof(kb_SUMOcache_6146,axiom,(+ s__subclass(s__FrequencyMeasure,s__Quantity) )).++fof(kb_SUMOcache_6147,axiom,(+ s__subclass(s__FrequencyMeasure,s__UnaryConstantFunctionQuantity) )).++fof(kb_SUMOcache_6148,axiom,(+ s__subclass(s__FrequencyMeasure,s__FunctionQuantity) )).++fof(kb_SUMOcache_6149,axiom,(+ s__subclass(s__FrequencyMeasure,s__Entity) )).++fof(kb_SUMOcache_6150,axiom,(+ s__subclass(s__FrequencyMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6151,axiom,(+ s__instance(s__FrequencyMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_6152,axiom,(+ s__subclass(s__FrequencyMeasure,s__Abstract) )).++fof(kb_SUMOcache_6153,axiom,(+ s__subclass(s__NonnegativeRealNumber,s__Quantity) )).++fof(kb_SUMOcache_6154,axiom,(+ s__subclass(s__NonnegativeRealNumber,s__Number) )).++fof(kb_SUMOcache_6155,axiom,(+ s__subclass(s__NonnegativeRealNumber,s__Entity) )).++fof(kb_SUMOcache_6156,axiom,(+ s__subclass(s__NonnegativeRealNumber,s__Abstract) )).++fof(kb_SUMOcache_6157,axiom,(+ s__subclass(s__Killing,s__Physical) )).++fof(kb_SUMOcache_6158,axiom,(+ s__instance(s__Killing__t,s__SetOrClass) )).++fof(kb_SUMOcache_6159,axiom,(+ s__subclass(s__Killing,s__Damaging) )).++fof(kb_SUMOcache_6160,axiom,(+ s__subclass(s__Killing,s__Process) )).++fof(kb_SUMOcache_6161,axiom,(+ s__subclass(s__Killing,s__InternalChange) )).++fof(kb_SUMOcache_6162,axiom,(+ s__subclass(s__Killing,s__Entity) )).++fof(kb_SUMOcache_6163,axiom,(+ s__subclass(s__Learning,s__Physical) )).++fof(kb_SUMOcache_6164,axiom,(+ s__instance(s__Learning__t,s__SetOrClass) )).++fof(kb_SUMOcache_6165,axiom,(+ s__subclass(s__Learning,s__Process) )).++fof(kb_SUMOcache_6166,axiom,(+ s__subclass(s__Learning,s__PsychologicalProcess) )).++fof(kb_SUMOcache_6167,axiom,(+ s__subclass(s__Learning,s__InternalChange) )).++fof(kb_SUMOcache_6168,axiom,(+ s__subclass(s__Learning,s__BiologicalProcess) )).++fof(kb_SUMOcache_6169,axiom,(+ s__subclass(s__Learning,s__IntentionalProcess) )).++fof(kb_SUMOcache_6170,axiom,(+ s__subclass(s__Learning,s__Entity) )).++fof(kb_SUMOcache_6171,axiom,(+ s__subclass(s__Plant,s__Physical) )).++fof(kb_SUMOcache_6172,axiom,(+ s__subclass(s__Plant,s__OrganicObject) )).++fof(kb_SUMOcache_6173,axiom,(+ s__instance(s__Plant__t,s__SetOrClass) )).++fof(kb_SUMOcache_6174,axiom,(+ s__subclass(s__Plant,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6175,axiom,(+ s__subclass(s__Plant,s__Agent) )).++fof(kb_SUMOcache_6176,axiom,(+ s__subclass(s__Plant,s__OrganicThing) )).++fof(kb_SUMOcache_6177,axiom,(+ s__subclass(s__Plant,s__CorpuscularObject) )).++fof(kb_SUMOcache_6178,axiom,(+ s__subclass(s__Plant,s__Object) )).++fof(kb_SUMOcache_6179,axiom,(+ s__subclass(s__Plant,s__Entity) )).++fof(kb_SUMOcache_6180,axiom,(+ s__subclass(s__Ordering,s__Physical) )).++fof(kb_SUMOcache_6181,axiom,(+ s__subclass(s__Ordering,s__SocialInteraction) )).++fof(kb_SUMOcache_6182,axiom,(+ s__instance(s__Ordering__t,s__SetOrClass) )).++fof(kb_SUMOcache_6183,axiom,(+ s__subclass(s__Ordering,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6184,axiom,(+ s__subclass(s__Ordering,s__Process) )).++fof(kb_SUMOcache_6185,axiom,(+ s__subclass(s__Ordering,s__Communication) )).++fof(kb_SUMOcache_6186,axiom,(+ s__subclass(s__Ordering,s__IntentionalProcess) )).++fof(kb_SUMOcache_6187,axiom,(+ s__subclass(s__Ordering,s__ContentBearingProcess) )).++fof(kb_SUMOcache_6188,axiom,(+ s__subclass(s__Ordering,s__LinguisticCommunication) )).++fof(kb_SUMOcache_6189,axiom,(+ s__subclass(s__Ordering,s__Entity) )).++fof(kb_SUMOcache_6190,axiom,(+ s__subclass(s__PhysicalSystem,s__Entity) )).++fof(kb_SUMOcache_6191,axiom,(+ s__instance(s__PhysicalSystem__t,s__SetOrClass) )).++fof(kb_SUMOcache_6192,axiom,(+ s__subclass(s__SelfConnectedObject,s__Physical) )).++fof(kb_SUMOcache_6193,axiom,(+ s__subclass(s__SelfConnectedObject,s__Entity) )).++fof(kb_SUMOcache_6194,axiom,(+ s__subclass(s__Freezing,s__Physical) )).++fof(kb_SUMOcache_6195,axiom,(+ s__subclass(s__Freezing,s__Process) )).++fof(kb_SUMOcache_6196,axiom,(+ s__subclass(s__Freezing,s__InternalChange) )).++fof(kb_SUMOcache_6197,axiom,(+ s__instance(s__Freezing__t,s__SetOrClass) )).++fof(kb_SUMOcache_6198,axiom,(+ s__subclass(s__Freezing,s__Entity) )).++fof(kb_SUMOcache_6199,axiom,(+ s__subclass(s__GasMotion,s__Physical) )).++fof(kb_SUMOcache_6200,axiom,(+ s__instance(s__GasMotion__t,s__SetOrClass) )).++fof(kb_SUMOcache_6201,axiom,(+ s__subclass(s__GasMotion,s__Process) )).++fof(kb_SUMOcache_6202,axiom,(+ s__subclass(s__GasMotion,s__Entity) )).++fof(kb_SUMOcache_6203,axiom,(+ s__subclass(s__CommercialAgent,s__Physical) )).++fof(kb_SUMOcache_6204,axiom,(+ s__subclass(s__CommercialAgent,s__Object) )).++fof(kb_SUMOcache_6205,axiom,(+ s__subclass(s__CommercialAgent,s__Entity) )).++fof(kb_SUMOcache_6206,axiom,(+ s__subclass(s__GraphCircuit,s__Graph) )).++fof(kb_SUMOcache_6207,axiom,(+ s__instance(s__Graph__t,s__SetOrClass) )).++fof(kb_SUMOcache_6208,axiom,(+ s__subclass(s__GraphCircuit,s__DirectedGraph) )).++fof(kb_SUMOcache_6209,axiom,(+ s__instance(s__DirectedGraph__t,s__SetOrClass) )).++fof(kb_SUMOcache_6210,axiom,(+ s__subclass(s__GraphCircuit,s__Entity) )).++fof(kb_SUMOcache_6211,axiom,(+ s__subclass(s__GraphCircuit,s__Abstract) )).++fof(kb_SUMOcache_6212,axiom,(+ s__instance(s__GraphCircuit__t,s__SetOrClass) )).++fof(kb_SUMOcache_6213,axiom,(+ s__subclass(s__PseudoGraph,s__Abstract) )).++fof(kb_SUMOcache_6214,axiom,(+ s__instance(s__PseudoGraph__t,s__SetOrClass) )).++fof(kb_SUMOcache_6215,axiom,(+ s__subclass(s__PseudoGraph,s__Entity) )).++fof(kb_SUMOcache_6216,axiom,(+ s__subclass(s__Requesting,s__Physical) )).++fof(kb_SUMOcache_6217,axiom,(+ s__subclass(s__Requesting,s__SocialInteraction) )).++fof(kb_SUMOcache_6218,axiom,(+ s__subclass(s__Requesting,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6219,axiom,(+ s__subclass(s__Requesting,s__Process) )).++fof(kb_SUMOcache_6220,axiom,(+ s__instance(s__Requesting__t,s__SetOrClass) )).++fof(kb_SUMOcache_6221,axiom,(+ s__subclass(s__Requesting,s__Communication) )).++fof(kb_SUMOcache_6222,axiom,(+ s__subclass(s__Requesting,s__IntentionalProcess) )).++fof(kb_SUMOcache_6223,axiom,(+ s__subclass(s__Requesting,s__ContentBearingProcess) )).++fof(kb_SUMOcache_6224,axiom,(+ s__subclass(s__Requesting,s__LinguisticCommunication) )).++fof(kb_SUMOcache_6225,axiom,(+ s__subclass(s__Requesting,s__Entity) )).++fof(kb_SUMOcache_6226,axiom,(+ s__subclass(s__AnimalAnatomicalStructure,s__Physical) )).++fof(kb_SUMOcache_6227,axiom,(+ s__subclass(s__AnimalAnatomicalStructure,s__OrganicObject) )).++fof(kb_SUMOcache_6228,axiom,(+ s__subclass(s__AnimalAnatomicalStructure,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6229,axiom,(+ s__subclass(s__AnimalAnatomicalStructure,s__OrganicThing) )).++fof(kb_SUMOcache_6230,axiom,(+ s__subclass(s__AnimalAnatomicalStructure,s__CorpuscularObject) )).++fof(kb_SUMOcache_6231,axiom,(+ s__subclass(s__AnimalAnatomicalStructure,s__Object) )).++fof(kb_SUMOcache_6232,axiom,(+ s__instance(s__AnimalAnatomicalStructure__t,s__SetOrClass) )).++fof(kb_SUMOcache_6233,axiom,(+ s__subclass(s__AnimalAnatomicalStructure,s__Entity) )).++fof(kb_SUMOcache_6234,axiom,(+ s__subclass(s__Government,s__Physical) )).++fof(kb_SUMOcache_6235,axiom,(+ s__instance(s__Government__t,s__SetOrClass) )).++fof(kb_SUMOcache_6236,axiom,(+ s__subclass(s__Government,s__Collection) )).++fof(kb_SUMOcache_6237,axiom,(+ s__subclass(s__Government,s__Agent) )).++fof(kb_SUMOcache_6238,axiom,(+ s__subclass(s__Government,s__Organization) )).++fof(kb_SUMOcache_6239,axiom,(+ s__subclass(s__Government,s__Object) )).++fof(kb_SUMOcache_6240,axiom,(+ s__subclass(s__Government,s__Group) )).++fof(kb_SUMOcache_6241,axiom,(+ s__subclass(s__Government,s__Entity) )).++fof(kb_SUMOcache_6242,axiom,(+ s__subclass(s__PartialValuedRelation,s__Entity) )).++fof(kb_SUMOcache_6243,axiom,(+ s__instance(s__PartialValuedRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_6244,axiom,(+ s__subclass(s__PartialValuedRelation,s__Abstract) )).++fof(kb_SUMOcache_6245,axiom,(+ s__subclass(s__AntiSymmetricPositionalAttribute,s__Attribute) )).++fof(kb_SUMOcache_6246,axiom,(+ s__subclass(s__AntiSymmetricPositionalAttribute,s__RelationalAttribute) )).++fof(kb_SUMOcache_6247,axiom,(+ s__instance(s__AntiSymmetricPositionalAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_6248,axiom,(+ s__subclass(s__AntiSymmetricPositionalAttribute,s__Abstract) )).++fof(kb_SUMOcache_6249,axiom,(+ s__subclass(s__AntiSymmetricPositionalAttribute,s__Entity) )).++fof(kb_SUMOcache_6250,axiom,(+ s__subclass(s__UniqueList,s__Relation) )).++fof(kb_SUMOcache_6251,axiom,(+ s__subclass(s__UniqueList,s__Entity) )).++fof(kb_SUMOcache_6252,axiom,(+ s__subclass(s__UniqueList,s__Abstract) )).++fof(kb_SUMOcache_6253,axiom,(+ s__instance(s__UniqueList__t,s__SetOrClass) )).++fof(kb_SUMOcache_6254,axiom,(+ s__subclass(s__DirectionChange,s__Physical) )).++fof(kb_SUMOcache_6255,axiom,(+ s__subclass(s__DirectionChange,s__Process) )).++fof(kb_SUMOcache_6256,axiom,(+ s__subclass(s__DirectionChange,s__Entity) )).++fof(kb_SUMOcache_6257,axiom,(+ s__instance(s__DirectionChange__t,s__SetOrClass) )).++fof(kb_SUMOcache_6258,axiom,(+ s__subclass(s__Sentence,s__Physical) )).++fof(kb_SUMOcache_6259,axiom,(+ s__subclass(s__Sentence,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6260,axiom,(+ s__instance(s__Sentence__t,s__SetOrClass) )).++fof(kb_SUMOcache_6261,axiom,(+ s__subclass(s__Sentence,s__Entity) )).++fof(kb_SUMOcache_6262,axiom,(+ s__subclass(s__Weapon,s__Physical) )).++fof(kb_SUMOcache_6263,axiom,(+ s__instance(s__Weapon__t,s__SetOrClass) )).++fof(kb_SUMOcache_6264,axiom,(+ s__subclass(s__Weapon,s__Artifact) )).++fof(kb_SUMOcache_6265,axiom,(+ s__subclass(s__Weapon,s__Object) )).++fof(kb_SUMOcache_6266,axiom,(+ s__subclass(s__Weapon,s__Entity) )).++fof(kb_SUMOcache_6267,axiom,(+ s__subclass(s__Vertebrate,s__Physical) )).++fof(kb_SUMOcache_6268,axiom,(+ s__subclass(s__Vertebrate,s__OrganicObject) )).++fof(kb_SUMOcache_6269,axiom,(+ s__subclass(s__Vertebrate,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6270,axiom,(+ s__subclass(s__Vertebrate,s__Agent) )).++fof(kb_SUMOcache_6271,axiom,(+ s__subclass(s__Vertebrate,s__OrganicThing) )).++fof(kb_SUMOcache_6272,axiom,(+ s__subclass(s__Vertebrate,s__Organism) )).++fof(kb_SUMOcache_6273,axiom,(+ s__subclass(s__Vertebrate,s__CorpuscularObject) )).++fof(kb_SUMOcache_6274,axiom,(+ s__subclass(s__Vertebrate,s__Object) )).++fof(kb_SUMOcache_6275,axiom,(+ s__subclass(s__Vertebrate,s__Entity) )).++fof(kb_SUMOcache_6276,axiom,(+ s__instance(s__Vertebrate__t,s__SetOrClass) )).++fof(kb_SUMOcache_6277,axiom,(+ s__subclass(s__Integer,s__Quantity) )).++fof(kb_SUMOcache_6278,axiom,(+ s__subclass(s__Integer,s__Number) )).++fof(kb_SUMOcache_6279,axiom,(+ s__subclass(s__Integer,s__RealNumber) )).++fof(kb_SUMOcache_6280,axiom,(+ s__instance(s__Integer__t,s__SetOrClass) )).++fof(kb_SUMOcache_6281,axiom,(+ s__subclass(s__Integer,s__Abstract) )).++fof(kb_SUMOcache_6282,axiom,(+ s__subclass(s__Integer,s__Entity) )).++fof(kb_SUMOcache_6283,axiom,(+ s__subclass(s__Classifying,s__Physical) )).++fof(kb_SUMOcache_6284,axiom,(+ s__subclass(s__Classifying,s__Process) )).++fof(kb_SUMOcache_6285,axiom,(+ s__instance(s__Classifying__t,s__SetOrClass) )).++fof(kb_SUMOcache_6286,axiom,(+ s__subclass(s__Classifying,s__PsychologicalProcess) )).++fof(kb_SUMOcache_6287,axiom,(+ s__subclass(s__Classifying,s__InternalChange) )).++fof(kb_SUMOcache_6288,axiom,(+ s__subclass(s__Classifying,s__BiologicalProcess) )).++fof(kb_SUMOcache_6289,axiom,(+ s__subclass(s__Classifying,s__IntentionalProcess) )).++fof(kb_SUMOcache_6290,axiom,(+ s__subclass(s__Classifying,s__Entity) )).++fof(kb_SUMOcache_6291,axiom,(+ s__subclass(s__MilitaryOrganization,s__Physical) )).++fof(kb_SUMOcache_6292,axiom,(+ s__subclass(s__MilitaryOrganization,s__Collection) )).++fof(kb_SUMOcache_6293,axiom,(+ s__subclass(s__MilitaryOrganization,s__Agent) )).++fof(kb_SUMOcache_6294,axiom,(+ s__subclass(s__MilitaryOrganization,s__PoliticalOrganization) )).++fof(kb_SUMOcache_6295,axiom,(+ s__subclass(s__MilitaryOrganization,s__Organization) )).++fof(kb_SUMOcache_6296,axiom,(+ s__subclass(s__MilitaryOrganization,s__Object) )).++fof(kb_SUMOcache_6297,axiom,(+ s__subclass(s__MilitaryOrganization,s__Group) )).++fof(kb_SUMOcache_6298,axiom,(+ s__subclass(s__MilitaryOrganization,s__Entity) )).++fof(kb_SUMOcache_6299,axiom,(+ s__instance(s__MilitaryOrganization__t,s__SetOrClass) )).++fof(kb_SUMOcache_6300,axiom,(+ s__subclass(s__Amphibian,s__Physical) )).++fof(kb_SUMOcache_6301,axiom,(+ s__subclass(s__Amphibian,s__OrganicObject) )).++fof(kb_SUMOcache_6302,axiom,(+ s__subclass(s__Amphibian,s__Agent) )).++fof(kb_SUMOcache_6303,axiom,(+ s__subclass(s__Amphibian,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6304,axiom,(+ s__instance(s__Amphibian__t,s__SetOrClass) )).++fof(kb_SUMOcache_6305,axiom,(+ s__subclass(s__Amphibian,s__Vertebrate) )).++fof(kb_SUMOcache_6306,axiom,(+ s__subclass(s__Amphibian,s__Animal) )).++fof(kb_SUMOcache_6307,axiom,(+ s__subclass(s__Amphibian,s__OrganicThing) )).++fof(kb_SUMOcache_6308,axiom,(+ s__subclass(s__Amphibian,s__Organism) )).++fof(kb_SUMOcache_6309,axiom,(+ s__subclass(s__Amphibian,s__Object) )).++fof(kb_SUMOcache_6310,axiom,(+ s__subclass(s__Amphibian,s__CorpuscularObject) )).++fof(kb_SUMOcache_6311,axiom,(+ s__subclass(s__Amphibian,s__Entity) )).++fof(kb_SUMOcache_6312,axiom,(+ s__subclass(s__AquaticMammal,s__OrganicObject) )).++fof(kb_SUMOcache_6313,axiom,(+ s__subclass(s__AquaticMammal,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_6314,axiom,(+ s__subclass(s__AquaticMammal,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6315,axiom,(+ s__instance(s__AquaticMammal__t,s__SetOrClass) )).++fof(kb_SUMOcache_6316,axiom,(+ s__subclass(s__AquaticMammal,s__Agent) )).++fof(kb_SUMOcache_6317,axiom,(+ s__subclass(s__AquaticMammal,s__Animal) )).++fof(kb_SUMOcache_6318,axiom,(+ s__subclass(s__AquaticMammal,s__Physical) )).++fof(kb_SUMOcache_6319,axiom,(+ s__subclass(s__AquaticMammal,s__Vertebrate) )).++fof(kb_SUMOcache_6320,axiom,(+ s__subclass(s__AquaticMammal,s__OrganicThing) )).++fof(kb_SUMOcache_6321,axiom,(+ s__subclass(s__AquaticMammal,s__Organism) )).++fof(kb_SUMOcache_6322,axiom,(+ s__subclass(s__AquaticMammal,s__CorpuscularObject) )).++fof(kb_SUMOcache_6323,axiom,(+ s__subclass(s__AquaticMammal,s__Object) )).++fof(kb_SUMOcache_6324,axiom,(+ s__subclass(s__AquaticMammal,s__Entity) )).++fof(kb_SUMOcache_6325,axiom,(+ s__subclass(s__Getting,s__Physical) )).++fof(kb_SUMOcache_6326,axiom,(+ s__subclass(s__Getting,s__SocialInteraction) )).++fof(kb_SUMOcache_6327,axiom,(+ s__instance(s__SocialInteraction__t,s__SetOrClass) )).++fof(kb_SUMOcache_6328,axiom,(+ s__subclass(s__Getting,s__Process) )).++fof(kb_SUMOcache_6329,axiom,(+ s__subclass(s__Getting,s__IntentionalProcess) )).++fof(kb_SUMOcache_6330,axiom,(+ s__subclass(s__Getting,s__Entity) )).++fof(kb_SUMOcache_6331,axiom,(+ s__instance(s__Getting__t,s__SetOrClass) )).++fof(kb_SUMOcache_6332,axiom,(+ s__subclass(s__Keeping,s__Physical) )).++fof(kb_SUMOcache_6333,axiom,(+ s__subclass(s__Keeping,s__Process) )).++fof(kb_SUMOcache_6334,axiom,(+ s__instance(s__Keeping__t,s__SetOrClass) )).++fof(kb_SUMOcache_6335,axiom,(+ s__subclass(s__Keeping,s__Entity) )).++fof(kb_SUMOcache_6336,axiom,(+ s__subclass(s__Group,s__Physical) )).++fof(kb_SUMOcache_6337,axiom,(+ s__subclass(s__Group,s__Object) )).++fof(kb_SUMOcache_6338,axiom,(+ s__subclass(s__Group,s__Entity) )).++fof(kb_SUMOcache_6339,axiom,(+ s__subclass(s__RationalNumber,s__Quantity) )).++fof(kb_SUMOcache_6340,axiom,(+ s__subclass(s__RationalNumber,s__Number) )).++fof(kb_SUMOcache_6341,axiom,(+ s__subclass(s__RationalNumber,s__Entity) )).++fof(kb_SUMOcache_6342,axiom,(+ s__subclass(s__RationalNumber,s__Abstract) )).++fof(kb_SUMOcache_6343,axiom,(+ s__subclass(s__DiseaseOrSyndrome,s__Attribute) )).++fof(kb_SUMOcache_6344,axiom,(+ s__subclass(s__DiseaseOrSyndrome,s__InternalAttribute) )).++fof(kb_SUMOcache_6345,axiom,(+ s__instance(s__DiseaseOrSyndrome__t,s__SetOrClass) )).++fof(kb_SUMOcache_6346,axiom,(+ s__subclass(s__DiseaseOrSyndrome,s__Entity) )).++fof(kb_SUMOcache_6347,axiom,(+ s__subclass(s__DiseaseOrSyndrome,s__Abstract) )).++fof(kb_SUMOcache_6348,axiom,(+ s__subclass(s__ChemicalSynthesis,s__Physical) )).++fof(kb_SUMOcache_6349,axiom,(+ s__subclass(s__ChemicalSynthesis,s__DualObjectProcess) )).++fof(kb_SUMOcache_6350,axiom,(+ s__subclass(s__ChemicalSynthesis,s__Process) )).++fof(kb_SUMOcache_6351,axiom,(+ s__subclass(s__ChemicalSynthesis,s__InternalChange) )).++fof(kb_SUMOcache_6352,axiom,(+ s__subclass(s__ChemicalSynthesis,s__Entity) )).++fof(kb_SUMOcache_6353,axiom,(+ s__instance(s__ChemicalSynthesis__t,s__SetOrClass) )).++fof(kb_SUMOcache_6354,axiom,(+ s__subclass(s__Destruction,s__Physical) )).++fof(kb_SUMOcache_6355,axiom,(+ s__subclass(s__Destruction,s__Process) )).++fof(kb_SUMOcache_6356,axiom,(+ s__instance(s__Destruction__t,s__SetOrClass) )).++fof(kb_SUMOcache_6357,axiom,(+ s__subclass(s__Destruction,s__InternalChange) )).++fof(kb_SUMOcache_6358,axiom,(+ s__subclass(s__Destruction,s__Entity) )).++fof(kb_SUMOcache_6359,axiom,(+ s__subclass(s__Fungus,s__Physical) )).++fof(kb_SUMOcache_6360,axiom,(+ s__subclass(s__Fungus,s__OrganicObject) )).++fof(kb_SUMOcache_6361,axiom,(+ s__subclass(s__Fungus,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6362,axiom,(+ s__subclass(s__Fungus,s__Agent) )).++fof(kb_SUMOcache_6363,axiom,(+ s__subclass(s__Fungus,s__OrganicThing) )).++fof(kb_SUMOcache_6364,axiom,(+ s__subclass(s__Fungus,s__CorpuscularObject) )).++fof(kb_SUMOcache_6365,axiom,(+ s__subclass(s__Fungus,s__Object) )).++fof(kb_SUMOcache_6366,axiom,(+ s__subclass(s__Fungus,s__Entity) )).++fof(kb_SUMOcache_6367,axiom,(+ s__instance(s__Fungus__t,s__SetOrClass) )).++fof(kb_SUMOcache_6368,axiom,(+ s__subclass(s__Nation,s__Physical) )).++fof(kb_SUMOcache_6369,axiom,(+ s__subclass(s__Nation,s__GeographicArea) )).++fof(kb_SUMOcache_6370,axiom,(+ s__subclass(s__Nation,s__Region) )).++fof(kb_SUMOcache_6371,axiom,(+ s__subclass(s__Nation,s__Agent) )).++fof(kb_SUMOcache_6372,axiom,(+ s__instance(s__Nation__t,s__SetOrClass) )).++fof(kb_SUMOcache_6373,axiom,(+ s__subclass(s__Nation,s__Object) )).++fof(kb_SUMOcache_6374,axiom,(+ s__subclass(s__Nation,s__Entity) )).++fof(kb_SUMOcache_6375,axiom,(+ s__subclass(s__Tasting,s__Physical) )).++fof(kb_SUMOcache_6376,axiom,(+ s__subclass(s__Tasting,s__Process) )).++fof(kb_SUMOcache_6377,axiom,(+ s__subclass(s__Tasting,s__PsychologicalProcess) )).++fof(kb_SUMOcache_6378,axiom,(+ s__subclass(s__Tasting,s__InternalChange) )).++fof(kb_SUMOcache_6379,axiom,(+ s__instance(s__Tasting__t,s__SetOrClass) )).++fof(kb_SUMOcache_6380,axiom,(+ s__subclass(s__Tasting,s__BiologicalProcess) )).++fof(kb_SUMOcache_6381,axiom,(+ s__subclass(s__Tasting,s__Entity) )).++fof(kb_SUMOcache_6382,axiom,(+ s__subclass(s__Organism,s__Physical) )).++fof(kb_SUMOcache_6383,axiom,(+ s__subclass(s__Organism,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6384,axiom,(+ s__subclass(s__Organism,s__OrganicThing) )).++fof(kb_SUMOcache_6385,axiom,(+ s__subclass(s__Organism,s__CorpuscularObject) )).++fof(kb_SUMOcache_6386,axiom,(+ s__subclass(s__Organism,s__Object) )).++fof(kb_SUMOcache_6387,axiom,(+ s__subclass(s__Organism,s__Entity) )).++fof(kb_SUMOcache_6388,axiom,(+ s__subclass(s__Currency,s__Physical) )).++fof(kb_SUMOcache_6389,axiom,(+ s__subclass(s__Currency,s__Text) )).++fof(kb_SUMOcache_6390,axiom,(+ s__subclass(s__Currency,s__Artifact) )).++fof(kb_SUMOcache_6391,axiom,(+ s__subclass(s__Currency,s__ContentBearingObject) )).++fof(kb_SUMOcache_6392,axiom,(+ s__instance(s__Currency__t,s__SetOrClass) )).++fof(kb_SUMOcache_6393,axiom,(+ s__instance(s__ContentBearingObject__t,s__SetOrClass) )).++fof(kb_SUMOcache_6394,axiom,(+ s__subclass(s__Currency,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6395,axiom,(+ s__subclass(s__Currency,s__LinguisticExpression) )).++fof(kb_SUMOcache_6396,axiom,(+ s__subclass(s__Currency,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6397,axiom,(+ s__subclass(s__Currency,s__Certificate) )).++fof(kb_SUMOcache_6398,axiom,(+ s__subclass(s__Currency,s__Object) )).++fof(kb_SUMOcache_6399,axiom,(+ s__subclass(s__Currency,s__CorpuscularObject) )).++fof(kb_SUMOcache_6400,axiom,(+ s__subclass(s__Currency,s__Entity) )).++fof(kb_SUMOcache_6401,axiom,(+ s__subclass(s__LengthMeasure,s__Quantity) )).++fof(kb_SUMOcache_6402,axiom,(+ s__subclass(s__LengthMeasure,s__Entity) )).++fof(kb_SUMOcache_6403,axiom,(+ s__subclass(s__LengthMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6404,axiom,(+ s__subclass(s__LengthMeasure,s__Abstract) )).++fof(kb_SUMOcache_6405,axiom,(+ s__instance(s__LengthMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_6406,axiom,(+ s__subclass(s__PermanentResidence,s__Physical) )).++fof(kb_SUMOcache_6407,axiom,(+ s__subclass(s__PermanentResidence,s__Artifact) )).++fof(kb_SUMOcache_6408,axiom,(+ s__subclass(s__PermanentResidence,s__StationaryArtifact) )).++fof(kb_SUMOcache_6409,axiom,(+ s__instance(s__PermanentResidence__t,s__SetOrClass) )).++fof(kb_SUMOcache_6410,axiom,(+ s__instance(s__StationaryArtifact__t,s__SetOrClass) )).++fof(kb_SUMOcache_6411,axiom,(+ s__subclass(s__PermanentResidence,s__Object) )).++fof(kb_SUMOcache_6412,axiom,(+ s__subclass(s__PermanentResidence,s__Entity) )).++fof(kb_SUMOcache_6413,axiom,(+ s__subclass(s__ComputerProgram,s__Proposition) )).++fof(kb_SUMOcache_6414,axiom,(+ s__subclass(s__ComputerProgram,s__Entity) )).++fof(kb_SUMOcache_6415,axiom,(+ s__subclass(s__ComputerProgram,s__Abstract) )).++fof(kb_SUMOcache_6416,axiom,(+ s__instance(s__ComputerProgram__t,s__SetOrClass) )).++fof(kb_SUMOcache_6417,axiom,(+ s__subclass(s__PositiveRealNumber,s__Quantity) )).++fof(kb_SUMOcache_6418,axiom,(+ s__subclass(s__PositiveRealNumber,s__Number) )).++fof(kb_SUMOcache_6419,axiom,(+ s__instance(s__PositiveRealNumber__t,s__SetOrClass) )).++fof(kb_SUMOcache_6420,axiom,(+ s__instance(s__Number__t,s__SetOrClass) )).++fof(kb_SUMOcache_6421,axiom,(+ s__subclass(s__PositiveRealNumber,s__RealNumber) )).++fof(kb_SUMOcache_6422,axiom,(+ s__subclass(s__PositiveRealNumber,s__Entity) )).++fof(kb_SUMOcache_6423,axiom,(+ s__subclass(s__PositiveRealNumber,s__Abstract) )).++fof(kb_SUMOcache_6424,axiom,(+ s__subclass(s__Injecting,s__Physical) )).++fof(kb_SUMOcache_6425,axiom,(+ s__subclass(s__Injecting,s__Motion) )).++fof(kb_SUMOcache_6426,axiom,(+ s__subclass(s__Injecting,s__Process) )).++fof(kb_SUMOcache_6427,axiom,(+ s__subclass(s__Injecting,s__Putting) )).++fof(kb_SUMOcache_6428,axiom,(+ s__subclass(s__Injecting,s__Translocation) )).++fof(kb_SUMOcache_6429,axiom,(+ s__instance(s__Injecting__t,s__SetOrClass) )).++fof(kb_SUMOcache_6430,axiom,(+ s__subclass(s__Injecting,s__Transfer) )).++fof(kb_SUMOcache_6431,axiom,(+ s__subclass(s__Injecting,s__Entity) )).++fof(kb_SUMOcache_6432,axiom,(+ s__subclass(s__Virus,s__Physical) )).++fof(kb_SUMOcache_6433,axiom,(+ s__instance(s__Virus__t,s__SetOrClass) )).++fof(kb_SUMOcache_6434,axiom,(+ s__subclass(s__Virus,s__OrganicObject) )).++fof(kb_SUMOcache_6435,axiom,(+ s__subclass(s__Virus,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6436,axiom,(+ s__subclass(s__Virus,s__Agent) )).++fof(kb_SUMOcache_6437,axiom,(+ s__subclass(s__Virus,s__OrganicThing) )).++fof(kb_SUMOcache_6438,axiom,(+ s__subclass(s__Virus,s__Organism) )).++fof(kb_SUMOcache_6439,axiom,(+ s__subclass(s__Virus,s__CorpuscularObject) )).++fof(kb_SUMOcache_6440,axiom,(+ s__subclass(s__Virus,s__Object) )).++fof(kb_SUMOcache_6441,axiom,(+ s__subclass(s__Virus,s__Entity) )).++fof(kb_SUMOcache_6442,axiom,(+ s__subclass(s__Air,s__Physical) )).++fof(kb_SUMOcache_6443,axiom,(+ s__subclass(s__Air,s__Mixture) )).++fof(kb_SUMOcache_6444,axiom,(+ s__subclass(s__Air,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6445,axiom,(+ s__instance(s__Air__t,s__SetOrClass) )).++fof(kb_SUMOcache_6446,axiom,(+ s__subclass(s__Air,s__Substance) )).++fof(kb_SUMOcache_6447,axiom,(+ s__subclass(s__Air,s__Object) )).++fof(kb_SUMOcache_6448,axiom,(+ s__subclass(s__Air,s__Entity) )).++fof(kb_SUMOcache_6449,axiom,(+ s__subclass(s__BinaryNumber,s__Quantity) )).++fof(kb_SUMOcache_6450,axiom,(+ s__subclass(s__BinaryNumber,s__Number) )).++fof(kb_SUMOcache_6451,axiom,(+ s__subclass(s__BinaryNumber,s__Entity) )).++fof(kb_SUMOcache_6452,axiom,(+ s__instance(s__BinaryNumber__t,s__SetOrClass) )).++fof(kb_SUMOcache_6453,axiom,(+ s__subclass(s__BinaryNumber,s__Abstract) )).++fof(kb_SUMOcache_6454,axiom,(+ s__subclass(s__AbnormalAnatomicalStructure,s__Physical) )).++fof(kb_SUMOcache_6455,axiom,(+ s__subclass(s__AbnormalAnatomicalStructure,s__OrganicObject) )).++fof(kb_SUMOcache_6456,axiom,(+ s__subclass(s__AbnormalAnatomicalStructure,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6457,axiom,(+ s__subclass(s__AbnormalAnatomicalStructure,s__OrganicThing) )).++fof(kb_SUMOcache_6458,axiom,(+ s__subclass(s__AbnormalAnatomicalStructure,s__CorpuscularObject) )).++fof(kb_SUMOcache_6459,axiom,(+ s__subclass(s__AbnormalAnatomicalStructure,s__Object) )).++fof(kb_SUMOcache_6460,axiom,(+ s__subclass(s__AbnormalAnatomicalStructure,s__Entity) )).++fof(kb_SUMOcache_6461,axiom,(+ s__instance(s__AbnormalAnatomicalStructure__t,s__SetOrClass) )).++fof(kb_SUMOcache_6462,axiom,(+ s__subclass(s__SocialRole,s__Attribute) )).++fof(kb_SUMOcache_6463,axiom,(+ s__instance(s__SocialRole__t,s__SetOrClass) )).++fof(kb_SUMOcache_6464,axiom,(+ s__subclass(s__SocialRole,s__Entity) )).++fof(kb_SUMOcache_6465,axiom,(+ s__subclass(s__SocialRole,s__Abstract) )).++fof(kb_SUMOcache_6466,axiom,(+ s__subclass(s__Alga,s__Physical) )).++fof(kb_SUMOcache_6467,axiom,(+ s__subclass(s__Alga,s__Plant) )).++fof(kb_SUMOcache_6468,axiom,(+ s__subclass(s__Alga,s__OrganicObject) )).++fof(kb_SUMOcache_6469,axiom,(+ s__subclass(s__Alga,s__Agent) )).++fof(kb_SUMOcache_6470,axiom,(+ s__subclass(s__Alga,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6471,axiom,(+ s__subclass(s__Alga,s__OrganicThing) )).++fof(kb_SUMOcache_6472,axiom,(+ s__subclass(s__Alga,s__Organism) )).++fof(kb_SUMOcache_6473,axiom,(+ s__subclass(s__Alga,s__Object) )).++fof(kb_SUMOcache_6474,axiom,(+ s__instance(s__Alga__t,s__SetOrClass) )).++fof(kb_SUMOcache_6475,axiom,(+ s__subclass(s__Alga,s__CorpuscularObject) )).++fof(kb_SUMOcache_6476,axiom,(+ s__subclass(s__Alga,s__Entity) )).++fof(kb_SUMOcache_6477,axiom,(+ s__subclass(s__Judging,s__Physical) )).++fof(kb_SUMOcache_6478,axiom,(+ s__subclass(s__Judging,s__IntentionalPsychologicalProcess) )).++fof(kb_SUMOcache_6479,axiom,(+ s__subclass(s__Judging,s__Process) )).++fof(kb_SUMOcache_6480,axiom,(+ s__subclass(s__Judging,s__PsychologicalProcess) )).++fof(kb_SUMOcache_6481,axiom,(+ s__subclass(s__Judging,s__InternalChange) )).++fof(kb_SUMOcache_6482,axiom,(+ s__instance(s__Judging__t,s__SetOrClass) )).++fof(kb_SUMOcache_6483,axiom,(+ s__subclass(s__Judging,s__BiologicalProcess) )).++fof(kb_SUMOcache_6484,axiom,(+ s__subclass(s__Judging,s__IntentionalProcess) )).++fof(kb_SUMOcache_6485,axiom,(+ s__subclass(s__Judging,s__Entity) )).++fof(kb_SUMOcache_6486,axiom,(+ s__subclass(s__GeographicArea,s__Physical) )).++fof(kb_SUMOcache_6487,axiom,(+ s__subclass(s__GeographicArea,s__Object) )).++fof(kb_SUMOcache_6488,axiom,(+ s__subclass(s__GeographicArea,s__Entity) )).++fof(kb_SUMOcache_6489,axiom,(+ s__subclass(s__GeometricFigure,s__StructureAttribute) )).++fof(kb_SUMOcache_6490,axiom,(+ s__instance(s__GeometricFigure__t,s__SetOrClass) )).++fof(kb_SUMOcache_6491,axiom,(+ s__subclass(s__GeometricFigure,s__Attribute) )).++fof(kb_SUMOcache_6492,axiom,(+ s__subclass(s__GeometricFigure,s__InternalAttribute) )).++fof(kb_SUMOcache_6493,axiom,(+ s__subclass(s__GeometricFigure,s__Abstract) )).++fof(kb_SUMOcache_6494,axiom,(+ s__subclass(s__GeometricFigure,s__Entity) )).++fof(kb_SUMOcache_6495,axiom,(+ s__subclass(s__August,s__Quantity) )).++fof(kb_SUMOcache_6496,axiom,(+ s__subclass(s__August,s__ConstantQuantity) )).++fof(kb_SUMOcache_6497,axiom,(+ s__subclass(s__August,s__TimeMeasure) )).++fof(kb_SUMOcache_6498,axiom,(+ s__subclass(s__August,s__TimeInterval) )).++fof(kb_SUMOcache_6499,axiom,(+ s__subclass(s__August,s__TimePosition) )).++fof(kb_SUMOcache_6500,axiom,(+ s__subclass(s__August,s__Entity) )).++fof(kb_SUMOcache_6501,axiom,(+ s__subclass(s__August,s__Abstract) )).++fof(kb_SUMOcache_6502,axiom,(+ s__subclass(s__August,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6503,axiom,(+ s__instance(s__August__t,s__SetOrClass) )).++fof(kb_SUMOcache_6504,axiom,(+ s__subclass(s__Publication,s__Physical) )).++fof(kb_SUMOcache_6505,axiom,(+ s__subclass(s__Publication,s__Creation) )).++fof(kb_SUMOcache_6506,axiom,(+ s__subclass(s__Publication,s__Process) )).++fof(kb_SUMOcache_6507,axiom,(+ s__subclass(s__Publication,s__Making) )).++fof(kb_SUMOcache_6508,axiom,(+ s__instance(s__Publication__t,s__SetOrClass) )).++fof(kb_SUMOcache_6509,axiom,(+ s__instance(s__Making__t,s__SetOrClass) )).++fof(kb_SUMOcache_6510,axiom,(+ s__subclass(s__Publication,s__InternalChange) )).++fof(kb_SUMOcache_6511,axiom,(+ s__subclass(s__Publication,s__IntentionalProcess) )).++fof(kb_SUMOcache_6512,axiom,(+ s__subclass(s__Publication,s__Entity) )).++fof(kb_SUMOcache_6513,axiom,(+ s__subclass(s__Combining,s__Physical) )).++fof(kb_SUMOcache_6514,axiom,(+ s__instance(s__Combining__t,s__SetOrClass) )).++fof(kb_SUMOcache_6515,axiom,(+ s__subclass(s__Combining,s__Process) )).++fof(kb_SUMOcache_6516,axiom,(+ s__subclass(s__Combining,s__Entity) )).++fof(kb_SUMOcache_6517,axiom,(+ s__subclass(s__PsychologicalProcess,s__Physical) )).++fof(kb_SUMOcache_6518,axiom,(+ s__subclass(s__PsychologicalProcess,s__Process) )).++fof(kb_SUMOcache_6519,axiom,(+ s__subclass(s__PsychologicalProcess,s__InternalChange) )).++fof(kb_SUMOcache_6520,axiom,(+ s__subclass(s__PsychologicalProcess,s__Entity) )).++fof(kb_SUMOcache_6521,axiom,(+ s__subclass(s__AreaMeasure,s__Quantity) )).++fof(kb_SUMOcache_6522,axiom,(+ s__subclass(s__AreaMeasure,s__Entity) )).++fof(kb_SUMOcache_6523,axiom,(+ s__instance(s__AreaMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_6524,axiom,(+ s__subclass(s__AreaMeasure,s__Abstract) )).++fof(kb_SUMOcache_6525,axiom,(+ s__subclass(s__AreaMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6526,axiom,(+ s__subclass(s__Uncovering,s__Physical) )).++fof(kb_SUMOcache_6527,axiom,(+ s__subclass(s__Uncovering,s__Motion) )).++fof(kb_SUMOcache_6528,axiom,(+ s__instance(s__Uncovering__t,s__SetOrClass) )).++fof(kb_SUMOcache_6529,axiom,(+ s__subclass(s__Uncovering,s__Process) )).++fof(kb_SUMOcache_6530,axiom,(+ s__subclass(s__Uncovering,s__Translocation) )).++fof(kb_SUMOcache_6531,axiom,(+ s__subclass(s__Uncovering,s__Transfer) )).++fof(kb_SUMOcache_6532,axiom,(+ s__subclass(s__Uncovering,s__Entity) )).++fof(kb_SUMOcache_6533,axiom,(+ s__subclass(s__TemporalRelation,s__Entity) )).++fof(kb_SUMOcache_6534,axiom,(+ s__instance(s__TemporalRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_6535,axiom,(+ s__subclass(s__TemporalRelation,s__Abstract) )).++fof(kb_SUMOcache_6536,axiom,(+ s__subclass(s__Experimenting,s__Physical) )).++fof(kb_SUMOcache_6537,axiom,(+ s__subclass(s__Experimenting,s__IntentionalPsychologicalProcess) )).++fof(kb_SUMOcache_6538,axiom,(+ s__subclass(s__Experimenting,s__Process) )).++fof(kb_SUMOcache_6539,axiom,(+ s__subclass(s__Experimenting,s__PsychologicalProcess) )).++fof(kb_SUMOcache_6540,axiom,(+ s__subclass(s__Experimenting,s__InternalChange) )).++fof(kb_SUMOcache_6541,axiom,(+ s__subclass(s__Experimenting,s__BiologicalProcess) )).++fof(kb_SUMOcache_6542,axiom,(+ s__subclass(s__Experimenting,s__IntentionalProcess) )).++fof(kb_SUMOcache_6543,axiom,(+ s__instance(s__Experimenting__t,s__SetOrClass) )).++fof(kb_SUMOcache_6544,axiom,(+ s__subclass(s__Experimenting,s__Entity) )).++fof(kb_SUMOcache_6545,axiom,(+ s__subclass(s__Animal,s__Physical) )).++fof(kb_SUMOcache_6546,axiom,(+ s__subclass(s__Animal,s__OrganicObject) )).++fof(kb_SUMOcache_6547,axiom,(+ s__subclass(s__Animal,s__Agent) )).++fof(kb_SUMOcache_6548,axiom,(+ s__subclass(s__Animal,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6549,axiom,(+ s__subclass(s__Animal,s__OrganicThing) )).++fof(kb_SUMOcache_6550,axiom,(+ s__subclass(s__Animal,s__Object) )).++fof(kb_SUMOcache_6551,axiom,(+ s__subclass(s__Animal,s__CorpuscularObject) )).++fof(kb_SUMOcache_6552,axiom,(+ s__subclass(s__Animal,s__Entity) )).++fof(kb_SUMOcache_6553,axiom,(+ s__subclass(s__JudicialProcess,s__Physical) )).++fof(kb_SUMOcache_6554,axiom,(+ s__subclass(s__JudicialProcess,s__Process) )).++fof(kb_SUMOcache_6555,axiom,(+ s__subclass(s__JudicialProcess,s__IntentionalProcess) )).++fof(kb_SUMOcache_6556,axiom,(+ s__instance(s__JudicialProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_6557,axiom,(+ s__subclass(s__JudicialProcess,s__OrganizationalProcess) )).++fof(kb_SUMOcache_6558,axiom,(+ s__subclass(s__JudicialProcess,s__Entity) )).++fof(kb_SUMOcache_6559,axiom,(+ s__subclass(s__RepresentationalArtWork,s__Physical) )).++fof(kb_SUMOcache_6560,axiom,(+ s__subclass(s__RepresentationalArtWork,s__Artifact) )).++fof(kb_SUMOcache_6561,axiom,(+ s__subclass(s__RepresentationalArtWork,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6562,axiom,(+ s__subclass(s__RepresentationalArtWork,s__Object) )).++fof(kb_SUMOcache_6563,axiom,(+ s__instance(s__RepresentationalArtWork__t,s__SetOrClass) )).++fof(kb_SUMOcache_6564,axiom,(+ s__subclass(s__RepresentationalArtWork,s__Entity) )).++fof(kb_SUMOcache_6565,axiom,(+ s__subclass(s__Hiring,s__Physical) )).++fof(kb_SUMOcache_6566,axiom,(+ s__subclass(s__Hiring,s__Process) )).++fof(kb_SUMOcache_6567,axiom,(+ s__subclass(s__Hiring,s__IntentionalProcess) )).++fof(kb_SUMOcache_6568,axiom,(+ s__instance(s__Hiring__t,s__SetOrClass) )).++fof(kb_SUMOcache_6569,axiom,(+ s__subclass(s__Hiring,s__OrganizationalProcess) )).++fof(kb_SUMOcache_6570,axiom,(+ s__subclass(s__Hiring,s__Entity) )).++fof(kb_SUMOcache_6571,axiom,(+ s__subclass(s__Patent,s__Physical) )).++fof(kb_SUMOcache_6572,axiom,(+ s__subclass(s__Patent,s__Text) )).++fof(kb_SUMOcache_6573,axiom,(+ s__instance(s__Patent__t,s__SetOrClass) )).++fof(kb_SUMOcache_6574,axiom,(+ s__subclass(s__Patent,s__Artifact) )).++fof(kb_SUMOcache_6575,axiom,(+ s__subclass(s__Patent,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6576,axiom,(+ s__subclass(s__Patent,s__ContentBearingObject) )).++fof(kb_SUMOcache_6577,axiom,(+ s__subclass(s__Patent,s__LinguisticExpression) )).++fof(kb_SUMOcache_6578,axiom,(+ s__subclass(s__Patent,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6579,axiom,(+ s__subclass(s__Patent,s__Object) )).++fof(kb_SUMOcache_6580,axiom,(+ s__subclass(s__Patent,s__CorpuscularObject) )).++fof(kb_SUMOcache_6581,axiom,(+ s__subclass(s__Patent,s__Entity) )).++fof(kb_SUMOcache_6582,axiom,(+ s__subclass(s__GroupOfPeople,s__Physical) )).++fof(kb_SUMOcache_6583,axiom,(+ s__subclass(s__GroupOfPeople,s__Collection) )).++fof(kb_SUMOcache_6584,axiom,(+ s__subclass(s__GroupOfPeople,s__Agent) )).++fof(kb_SUMOcache_6585,axiom,(+ s__subclass(s__GroupOfPeople,s__Object) )).++fof(kb_SUMOcache_6586,axiom,(+ s__subclass(s__GroupOfPeople,s__Entity) )).++fof(kb_SUMOcache_6587,axiom,(+ s__instance(s__GroupOfPeople__t,s__SetOrClass) )).++fof(kb_SUMOcache_6588,axiom,(+ s__subclass(s__TimePoint,s__ConstantQuantity) )).++fof(kb_SUMOcache_6589,axiom,(+ s__instance(s__TimePoint__t,s__SetOrClass) )).++fof(kb_SUMOcache_6590,axiom,(+ s__subclass(s__TimePoint,s__Quantity) )).++fof(kb_SUMOcache_6591,axiom,(+ s__subclass(s__TimePoint,s__TimeMeasure) )).++fof(kb_SUMOcache_6592,axiom,(+ s__subclass(s__TimePoint,s__Entity) )).++fof(kb_SUMOcache_6593,axiom,(+ s__subclass(s__TimePoint,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6594,axiom,(+ s__subclass(s__TimePoint,s__Abstract) )).++fof(kb_SUMOcache_6595,axiom,(+ s__subclass(s__IntransitiveRelation,s__Relation) )).++fof(kb_SUMOcache_6596,axiom,(+ s__subclass(s__IntransitiveRelation,s__InheritableRelation) )).++fof(kb_SUMOcache_6597,axiom,(+ s__instance(s__IntransitiveRelation__t,s__SetOrClass) )).++fof(kb_SUMOcache_6598,axiom,(+ s__subclass(s__IntransitiveRelation,s__Abstract) )).++fof(kb_SUMOcache_6599,axiom,(+ s__subclass(s__IntransitiveRelation,s__Entity) )).++fof(kb_SUMOcache_6600,axiom,(+ s__subclass(s__Adjective,s__Physical) )).++fof(kb_SUMOcache_6601,axiom,(+ s__subclass(s__Adjective,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6602,axiom,(+ s__instance(s__Adjective__t,s__SetOrClass) )).++fof(kb_SUMOcache_6603,axiom,(+ s__subclass(s__Adjective,s__LinguisticExpression) )).++fof(kb_SUMOcache_6604,axiom,(+ s__subclass(s__Adjective,s__Entity) )).++fof(kb_SUMOcache_6605,axiom,(+ s__subclass(s__OlfactoryAttribute,s__Attribute) )).++fof(kb_SUMOcache_6606,axiom,(+ s__instance(s__OlfactoryAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_6607,axiom,(+ s__subclass(s__OlfactoryAttribute,s__Entity) )).++fof(kb_SUMOcache_6608,axiom,(+ s__subclass(s__OlfactoryAttribute,s__Abstract) )).++fof(kb_SUMOcache_6609,axiom,(+ s__subclass(s__NaturalProcess,s__Physical) )).++fof(kb_SUMOcache_6610,axiom,(+ s__instance(s__NaturalProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_6611,axiom,(+ s__subclass(s__NaturalProcess,s__Entity) )).++fof(kb_SUMOcache_6612,axiom,(+ s__subclass(s__BodyVessel,s__Physical) )).++fof(kb_SUMOcache_6613,axiom,(+ s__subclass(s__BodyVessel,s__OrganicObject) )).++fof(kb_SUMOcache_6614,axiom,(+ s__subclass(s__BodyVessel,s__BodyPart) )).++fof(kb_SUMOcache_6615,axiom,(+ s__subclass(s__BodyVessel,s__AnatomicalStructure) )).++fof(kb_SUMOcache_6616,axiom,(+ s__subclass(s__BodyVessel,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6617,axiom,(+ s__subclass(s__BodyVessel,s__OrganicThing) )).++fof(kb_SUMOcache_6618,axiom,(+ s__subclass(s__BodyVessel,s__CorpuscularObject) )).++fof(kb_SUMOcache_6619,axiom,(+ s__subclass(s__BodyVessel,s__Object) )).++fof(kb_SUMOcache_6620,axiom,(+ s__subclass(s__BodyVessel,s__Entity) )).++fof(kb_SUMOcache_6621,axiom,(+ s__instance(s__BodyVessel__t,s__SetOrClass) )).++fof(kb_SUMOcache_6622,axiom,(+ s__subclass(s__FloweringPlant,s__Physical) )).++fof(kb_SUMOcache_6623,axiom,(+ s__subclass(s__FloweringPlant,s__OrganicObject) )).++fof(kb_SUMOcache_6624,axiom,(+ s__subclass(s__FloweringPlant,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6625,axiom,(+ s__subclass(s__FloweringPlant,s__Agent) )).++fof(kb_SUMOcache_6626,axiom,(+ s__instance(s__FloweringPlant__t,s__SetOrClass) )).++fof(kb_SUMOcache_6627,axiom,(+ s__subclass(s__FloweringPlant,s__OrganicThing) )).++fof(kb_SUMOcache_6628,axiom,(+ s__subclass(s__FloweringPlant,s__Organism) )).++fof(kb_SUMOcache_6629,axiom,(+ s__subclass(s__FloweringPlant,s__Object) )).++fof(kb_SUMOcache_6630,axiom,(+ s__subclass(s__FloweringPlant,s__CorpuscularObject) )).++fof(kb_SUMOcache_6631,axiom,(+ s__subclass(s__FloweringPlant,s__Entity) )).++fof(kb_SUMOcache_6632,axiom,(+ s__subclass(s__February,s__Quantity) )).++fof(kb_SUMOcache_6633,axiom,(+ s__subclass(s__February,s__ConstantQuantity) )).++fof(kb_SUMOcache_6634,axiom,(+ s__instance(s__February__t,s__SetOrClass) )).++fof(kb_SUMOcache_6635,axiom,(+ s__subclass(s__February,s__TimeMeasure) )).++fof(kb_SUMOcache_6636,axiom,(+ s__subclass(s__February,s__TimeInterval) )).++fof(kb_SUMOcache_6637,axiom,(+ s__subclass(s__February,s__TimePosition) )).++fof(kb_SUMOcache_6638,axiom,(+ s__subclass(s__February,s__Entity) )).++fof(kb_SUMOcache_6639,axiom,(+ s__subclass(s__February,s__Abstract) )).++fof(kb_SUMOcache_6640,axiom,(+ s__subclass(s__February,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6641,axiom,(+ s__subclass(s__Cooking,s__Physical) )).++fof(kb_SUMOcache_6642,axiom,(+ s__subclass(s__Cooking,s__Creation) )).++fof(kb_SUMOcache_6643,axiom,(+ s__subclass(s__Cooking,s__Process) )).++fof(kb_SUMOcache_6644,axiom,(+ s__subclass(s__Cooking,s__IntentionalProcess) )).++fof(kb_SUMOcache_6645,axiom,(+ s__instance(s__Cooking__t,s__SetOrClass) )).++fof(kb_SUMOcache_6646,axiom,(+ s__subclass(s__Cooking,s__InternalChange) )).++fof(kb_SUMOcache_6647,axiom,(+ s__subclass(s__Cooking,s__Entity) )).++fof(kb_SUMOcache_6648,axiom,(+ s__subclass(s__PoliticalOrganization,s__Physical) )).++fof(kb_SUMOcache_6649,axiom,(+ s__subclass(s__PoliticalOrganization,s__Collection) )).++fof(kb_SUMOcache_6650,axiom,(+ s__subclass(s__PoliticalOrganization,s__Agent) )).++fof(kb_SUMOcache_6651,axiom,(+ s__subclass(s__PoliticalOrganization,s__Object) )).++fof(kb_SUMOcache_6652,axiom,(+ s__subclass(s__PoliticalOrganization,s__Group) )).++fof(kb_SUMOcache_6653,axiom,(+ s__subclass(s__PoliticalOrganization,s__Entity) )).++fof(kb_SUMOcache_6654,axiom,(+ s__subclass(s__Primate,s__OrganicObject) )).++fof(kb_SUMOcache_6655,axiom,(+ s__subclass(s__Primate,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_6656,axiom,(+ s__subclass(s__Primate,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6657,axiom,(+ s__subclass(s__Primate,s__Agent) )).++fof(kb_SUMOcache_6658,axiom,(+ s__subclass(s__Primate,s__Animal) )).++fof(kb_SUMOcache_6659,axiom,(+ s__subclass(s__Primate,s__Physical) )).++fof(kb_SUMOcache_6660,axiom,(+ s__instance(s__Primate__t,s__SetOrClass) )).++fof(kb_SUMOcache_6661,axiom,(+ s__subclass(s__Primate,s__Vertebrate) )).++fof(kb_SUMOcache_6662,axiom,(+ s__subclass(s__Primate,s__OrganicThing) )).++fof(kb_SUMOcache_6663,axiom,(+ s__subclass(s__Primate,s__Organism) )).++fof(kb_SUMOcache_6664,axiom,(+ s__subclass(s__Primate,s__CorpuscularObject) )).++fof(kb_SUMOcache_6665,axiom,(+ s__subclass(s__Primate,s__Object) )).++fof(kb_SUMOcache_6666,axiom,(+ s__subclass(s__Primate,s__Entity) )).++fof(kb_SUMOcache_6667,axiom,(+ s__subclass(s__Solution,s__Physical) )).++fof(kb_SUMOcache_6668,axiom,(+ s__subclass(s__Solution,s__Mixture) )).++fof(kb_SUMOcache_6669,axiom,(+ s__subclass(s__Solution,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6670,axiom,(+ s__instance(s__Solution__t,s__SetOrClass) )).++fof(kb_SUMOcache_6671,axiom,(+ s__instance(s__SelfConnectedObject__t,s__SetOrClass) )).++fof(kb_SUMOcache_6672,axiom,(+ s__subclass(s__Solution,s__Substance) )).++fof(kb_SUMOcache_6673,axiom,(+ s__subclass(s__Solution,s__Object) )).++fof(kb_SUMOcache_6674,axiom,(+ s__subclass(s__Solution,s__Entity) )).++fof(kb_SUMOcache_6675,axiom,(+ s__subclass(s__ArtificialLanguage,s__Physical) )).++fof(kb_SUMOcache_6676,axiom,(+ s__instance(s__ArtificialLanguage__t,s__SetOrClass) )).++fof(kb_SUMOcache_6677,axiom,(+ s__subclass(s__ArtificialLanguage,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6678,axiom,(+ s__subclass(s__ArtificialLanguage,s__LinguisticExpression) )).++fof(kb_SUMOcache_6679,axiom,(+ s__subclass(s__ArtificialLanguage,s__Entity) )).++fof(kb_SUMOcache_6680,axiom,(+ s__subclass(s__Object,s__Entity) )).++fof(kb_SUMOcache_6681,axiom,(+ s__subclass(s__Morpheme,s__Physical) )).++fof(kb_SUMOcache_6682,axiom,(+ s__subclass(s__Morpheme,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6683,axiom,(+ s__instance(s__Morpheme__t,s__SetOrClass) )).++fof(kb_SUMOcache_6684,axiom,(+ s__subclass(s__Morpheme,s__Entity) )).++fof(kb_SUMOcache_6685,axiom,(+ s__subclass(s__Demonstrating,s__Physical) )).++fof(kb_SUMOcache_6686,axiom,(+ s__subclass(s__Demonstrating,s__SocialInteraction) )).++fof(kb_SUMOcache_6687,axiom,(+ s__instance(s__Demonstrating__t,s__SetOrClass) )).++fof(kb_SUMOcache_6688,axiom,(+ s__subclass(s__Demonstrating,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6689,axiom,(+ s__subclass(s__Demonstrating,s__Process) )).++fof(kb_SUMOcache_6690,axiom,(+ s__subclass(s__Demonstrating,s__Communication) )).++fof(kb_SUMOcache_6691,axiom,(+ s__subclass(s__Demonstrating,s__IntentionalProcess) )).++fof(kb_SUMOcache_6692,axiom,(+ s__subclass(s__Demonstrating,s__ContentBearingProcess) )).++fof(kb_SUMOcache_6693,axiom,(+ s__subclass(s__Demonstrating,s__Entity) )).++fof(kb_SUMOcache_6694,axiom,(+ s__subclass(s__Collection,s__Physical) )).++fof(kb_SUMOcache_6695,axiom,(+ s__subclass(s__Collection,s__Entity) )).++fof(kb_SUMOcache_6696,axiom,(+ s__subclass(s__OddInteger,s__Quantity) )).++fof(kb_SUMOcache_6697,axiom,(+ s__subclass(s__OddInteger,s__Number) )).++fof(kb_SUMOcache_6698,axiom,(+ s__subclass(s__OddInteger,s__RealNumber) )).++fof(kb_SUMOcache_6699,axiom,(+ s__subclass(s__OddInteger,s__Entity) )).++fof(kb_SUMOcache_6700,axiom,(+ s__subclass(s__OddInteger,s__Abstract) )).++fof(kb_SUMOcache_6701,axiom,(+ s__subclass(s__OddInteger,s__RationalNumber) )).++fof(kb_SUMOcache_6702,axiom,(+ s__instance(s__OddInteger__t,s__SetOrClass) )).++fof(kb_SUMOcache_6703,axiom,(+ s__instance(s__RationalNumber__t,s__SetOrClass) )).++fof(kb_SUMOcache_6704,axiom,(+ s__subclass(s__LiquidMixture,s__Physical) )).++fof(kb_SUMOcache_6705,axiom,(+ s__subclass(s__LiquidMixture,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6706,axiom,(+ s__subclass(s__LiquidMixture,s__Substance) )).++fof(kb_SUMOcache_6707,axiom,(+ s__subclass(s__LiquidMixture,s__Object) )).++fof(kb_SUMOcache_6708,axiom,(+ s__instance(s__LiquidMixture__t,s__SetOrClass) )).++fof(kb_SUMOcache_6709,axiom,(+ s__subclass(s__LiquidMixture,s__Entity) )).++fof(kb_SUMOcache_6710,axiom,(+ s__subclass(s__Formula,s__Physical) )).++fof(kb_SUMOcache_6711,axiom,(+ s__subclass(s__Formula,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6712,axiom,(+ s__subclass(s__Formula,s__LinguisticExpression) )).++fof(kb_SUMOcache_6713,axiom,(+ s__subclass(s__Formula,s__Entity) )).++fof(kb_SUMOcache_6714,axiom,(+ s__instance(s__Formula__t,s__SetOrClass) )).++fof(kb_SUMOcache_6715,axiom,(+ s__subclass(s__Predicting,s__Physical) )).++fof(kb_SUMOcache_6716,axiom,(+ s__subclass(s__Predicting,s__Process) )).++fof(kb_SUMOcache_6717,axiom,(+ s__subclass(s__Predicting,s__PsychologicalProcess) )).++fof(kb_SUMOcache_6718,axiom,(+ s__subclass(s__Predicting,s__InternalChange) )).++fof(kb_SUMOcache_6719,axiom,(+ s__subclass(s__Predicting,s__BiologicalProcess) )).++fof(kb_SUMOcache_6720,axiom,(+ s__subclass(s__Predicting,s__IntentionalProcess) )).++fof(kb_SUMOcache_6721,axiom,(+ s__instance(s__Predicting__t,s__SetOrClass) )).++fof(kb_SUMOcache_6722,axiom,(+ s__subclass(s__Predicting,s__Entity) )).++fof(kb_SUMOcache_6723,axiom,(+ s__subclass(s__FunctionQuantity,s__Quantity) )).++fof(kb_SUMOcache_6724,axiom,(+ s__instance(s__FunctionQuantity__t,s__SetOrClass) )).++fof(kb_SUMOcache_6725,axiom,(+ s__subclass(s__FunctionQuantity,s__Entity) )).++fof(kb_SUMOcache_6726,axiom,(+ s__subclass(s__FunctionQuantity,s__Abstract) )).++fof(kb_SUMOcache_6727,axiom,(+ s__subclass(s__TemperatureMeasure,s__Quantity) )).++fof(kb_SUMOcache_6728,axiom,(+ s__subclass(s__TemperatureMeasure,s__Entity) )).++fof(kb_SUMOcache_6729,axiom,(+ s__subclass(s__TemperatureMeasure,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6730,axiom,(+ s__subclass(s__TemperatureMeasure,s__Abstract) )).++fof(kb_SUMOcache_6731,axiom,(+ s__instance(s__TemperatureMeasure__t,s__SetOrClass) )).++fof(kb_SUMOcache_6732,axiom,(+ s__subclass(s__BeliefGroup,s__Physical) )).++fof(kb_SUMOcache_6733,axiom,(+ s__subclass(s__BeliefGroup,s__Collection) )).++fof(kb_SUMOcache_6734,axiom,(+ s__subclass(s__BeliefGroup,s__Agent) )).++fof(kb_SUMOcache_6735,axiom,(+ s__subclass(s__BeliefGroup,s__Group) )).++fof(kb_SUMOcache_6736,axiom,(+ s__subclass(s__BeliefGroup,s__Object) )).++fof(kb_SUMOcache_6737,axiom,(+ s__instance(s__BeliefGroup__t,s__SetOrClass) )).++fof(kb_SUMOcache_6738,axiom,(+ s__subclass(s__BeliefGroup,s__Entity) )).++fof(kb_SUMOcache_6739,axiom,(+ s__subclass(s__Carnivore,s__OrganicObject) )).++fof(kb_SUMOcache_6740,axiom,(+ s__instance(s__Carnivore__t,s__SetOrClass) )).++fof(kb_SUMOcache_6741,axiom,(+ s__instance(s__OrganicObject__t,s__SetOrClass) )).++fof(kb_SUMOcache_6742,axiom,(+ s__subclass(s__Carnivore,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_6743,axiom,(+ s__subclass(s__Carnivore,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6744,axiom,(+ s__subclass(s__Carnivore,s__Agent) )).++fof(kb_SUMOcache_6745,axiom,(+ s__subclass(s__Carnivore,s__Animal) )).++fof(kb_SUMOcache_6746,axiom,(+ s__subclass(s__Carnivore,s__Physical) )).++fof(kb_SUMOcache_6747,axiom,(+ s__subclass(s__Carnivore,s__Vertebrate) )).++fof(kb_SUMOcache_6748,axiom,(+ s__subclass(s__Carnivore,s__OrganicThing) )).++fof(kb_SUMOcache_6749,axiom,(+ s__subclass(s__Carnivore,s__Organism) )).++fof(kb_SUMOcache_6750,axiom,(+ s__subclass(s__Carnivore,s__CorpuscularObject) )).++fof(kb_SUMOcache_6751,axiom,(+ s__subclass(s__Carnivore,s__Object) )).++fof(kb_SUMOcache_6752,axiom,(+ s__subclass(s__Carnivore,s__Entity) )).++fof(kb_SUMOcache_6753,axiom,(+ s__subclass(s__Condensing,s__Physical) )).++fof(kb_SUMOcache_6754,axiom,(+ s__instance(s__Condensing__t,s__SetOrClass) )).++fof(kb_SUMOcache_6755,axiom,(+ s__subclass(s__Condensing,s__Process) )).++fof(kb_SUMOcache_6756,axiom,(+ s__subclass(s__Condensing,s__InternalChange) )).++fof(kb_SUMOcache_6757,axiom,(+ s__subclass(s__Condensing,s__Entity) )).++fof(kb_SUMOcache_6758,axiom,(+ s__subclass(s__City,s__Physical) )).++fof(kb_SUMOcache_6759,axiom,(+ s__subclass(s__City,s__GeographicArea) )).++fof(kb_SUMOcache_6760,axiom,(+ s__subclass(s__City,s__Region) )).++fof(kb_SUMOcache_6761,axiom,(+ s__subclass(s__City,s__Agent) )).++fof(kb_SUMOcache_6762,axiom,(+ s__subclass(s__City,s__Object) )).++fof(kb_SUMOcache_6763,axiom,(+ s__instance(s__City__t,s__SetOrClass) )).++fof(kb_SUMOcache_6764,axiom,(+ s__subclass(s__City,s__Entity) )).++fof(kb_SUMOcache_6765,axiom,(+ s__subclass(s__LocalizablePlace,s__Physical) )).++fof(kb_SUMOcache_6766,axiom,(+ s__subclass(s__LocalizablePlace,s__Region) )).++fof(kb_SUMOcache_6767,axiom,(+ s__subclass(s__LocalizablePlace,s__Object) )).++fof(kb_SUMOcache_6768,axiom,(+ s__instance(s__LocalizablePlace__t,s__SetOrClass) )).++fof(kb_SUMOcache_6769,axiom,(+ s__subclass(s__LocalizablePlace,s__Entity) )).++fof(kb_SUMOcache_6770,axiom,(+ s__subclass(s__AnatomicalStructure,s__Physical) )).++fof(kb_SUMOcache_6771,axiom,(+ s__subclass(s__AnatomicalStructure,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6772,axiom,(+ s__subclass(s__AnatomicalStructure,s__OrganicThing) )).++fof(kb_SUMOcache_6773,axiom,(+ s__subclass(s__AnatomicalStructure,s__CorpuscularObject) )).++fof(kb_SUMOcache_6774,axiom,(+ s__subclass(s__AnatomicalStructure,s__Object) )).++fof(kb_SUMOcache_6775,axiom,(+ s__instance(s__AnatomicalStructure__t,s__SetOrClass) )).++fof(kb_SUMOcache_6776,axiom,(+ s__subclass(s__AnatomicalStructure,s__Entity) )).++fof(kb_SUMOcache_6777,axiom,(+ s__subclass(s__Translating,s__Physical) )).++fof(kb_SUMOcache_6778,axiom,(+ s__subclass(s__Translating,s__Process) )).++fof(kb_SUMOcache_6779,axiom,(+ s__subclass(s__Translating,s__IntentionalProcess) )).++fof(kb_SUMOcache_6780,axiom,(+ s__instance(s__Translating__t,s__SetOrClass) )).++fof(kb_SUMOcache_6781,axiom,(+ s__subclass(s__Translating,s__Entity) )).++fof(kb_SUMOcache_6782,axiom,(+ s__subclass(s__Boiling,s__Physical) )).++fof(kb_SUMOcache_6783,axiom,(+ s__subclass(s__Boiling,s__Process) )).++fof(kb_SUMOcache_6784,axiom,(+ s__instance(s__Boiling__t,s__SetOrClass) )).++fof(kb_SUMOcache_6785,axiom,(+ s__subclass(s__Boiling,s__InternalChange) )).++fof(kb_SUMOcache_6786,axiom,(+ s__subclass(s__Boiling,s__Entity) )).++fof(kb_SUMOcache_6787,axiom,(+ s__subclass(s__AttachingDevice,s__Physical) )).++fof(kb_SUMOcache_6788,axiom,(+ s__subclass(s__AttachingDevice,s__Artifact) )).++fof(kb_SUMOcache_6789,axiom,(+ s__subclass(s__AttachingDevice,s__Object) )).++fof(kb_SUMOcache_6790,axiom,(+ s__instance(s__AttachingDevice__t,s__SetOrClass) )).++fof(kb_SUMOcache_6791,axiom,(+ s__subclass(s__AttachingDevice,s__Entity) )).++fof(kb_SUMOcache_6792,axiom,(+ s__subclass(s__Crustacean,s__Physical) )).++fof(kb_SUMOcache_6793,axiom,(+ s__subclass(s__Crustacean,s__OrganicObject) )).++fof(kb_SUMOcache_6794,axiom,(+ s__subclass(s__Crustacean,s__Invertebrate) )).++fof(kb_SUMOcache_6795,axiom,(+ s__instance(s__Invertebrate__t,s__SetOrClass) )).++fof(kb_SUMOcache_6796,axiom,(+ s__subclass(s__Crustacean,s__Agent) )).++fof(kb_SUMOcache_6797,axiom,(+ s__instance(s__Crustacean__t,s__SetOrClass) )).++fof(kb_SUMOcache_6798,axiom,(+ s__subclass(s__Crustacean,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6799,axiom,(+ s__subclass(s__Crustacean,s__Animal) )).++fof(kb_SUMOcache_6800,axiom,(+ s__subclass(s__Crustacean,s__OrganicThing) )).++fof(kb_SUMOcache_6801,axiom,(+ s__subclass(s__Crustacean,s__Organism) )).++fof(kb_SUMOcache_6802,axiom,(+ s__subclass(s__Crustacean,s__Object) )).++fof(kb_SUMOcache_6803,axiom,(+ s__subclass(s__Crustacean,s__CorpuscularObject) )).++fof(kb_SUMOcache_6804,axiom,(+ s__subclass(s__Crustacean,s__Entity) )).++fof(kb_SUMOcache_6805,axiom,(+ s__subclass(s__ShoreArea,s__Physical) )).++fof(kb_SUMOcache_6806,axiom,(+ s__subclass(s__ShoreArea,s__GeographicArea) )).++fof(kb_SUMOcache_6807,axiom,(+ s__subclass(s__ShoreArea,s__Region) )).++fof(kb_SUMOcache_6808,axiom,(+ s__subclass(s__ShoreArea,s__Object) )).++fof(kb_SUMOcache_6809,axiom,(+ s__subclass(s__ShoreArea,s__Entity) )).++fof(kb_SUMOcache_6810,axiom,(+ s__instance(s__ShoreArea__t,s__SetOrClass) )).++fof(kb_SUMOcache_6811,axiom,(+ s__subclass(s__ColorAttribute,s__Attribute) )).++fof(kb_SUMOcache_6812,axiom,(+ s__instance(s__ColorAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_6813,axiom,(+ s__subclass(s__ColorAttribute,s__PerceptualAttribute) )).++fof(kb_SUMOcache_6814,axiom,(+ s__subclass(s__ColorAttribute,s__Abstract) )).++fof(kb_SUMOcache_6815,axiom,(+ s__subclass(s__ColorAttribute,s__Entity) )).++fof(kb_SUMOcache_6816,axiom,(+ s__subclass(s__Bird,s__Physical) )).++fof(kb_SUMOcache_6817,axiom,(+ s__subclass(s__Bird,s__OrganicObject) )).++fof(kb_SUMOcache_6818,axiom,(+ s__subclass(s__Bird,s__Agent) )).++fof(kb_SUMOcache_6819,axiom,(+ s__subclass(s__Bird,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6820,axiom,(+ s__subclass(s__Bird,s__Vertebrate) )).++fof(kb_SUMOcache_6821,axiom,(+ s__subclass(s__Bird,s__Animal) )).++fof(kb_SUMOcache_6822,axiom,(+ s__subclass(s__Bird,s__OrganicThing) )).++fof(kb_SUMOcache_6823,axiom,(+ s__instance(s__Bird__t,s__SetOrClass) )).++fof(kb_SUMOcache_6824,axiom,(+ s__subclass(s__Bird,s__Organism) )).++fof(kb_SUMOcache_6825,axiom,(+ s__subclass(s__Bird,s__Object) )).++fof(kb_SUMOcache_6826,axiom,(+ s__subclass(s__Bird,s__CorpuscularObject) )).++fof(kb_SUMOcache_6827,axiom,(+ s__subclass(s__Bird,s__Entity) )).++fof(kb_SUMOcache_6828,axiom,(+ s__subclass(s__UnitOfVolume,s__Quantity) )).++fof(kb_SUMOcache_6829,axiom,(+ s__subclass(s__UnitOfVolume,s__UnitOfMeasure) )).++fof(kb_SUMOcache_6830,axiom,(+ s__subclass(s__UnitOfVolume,s__Entity) )).++fof(kb_SUMOcache_6831,axiom,(+ s__subclass(s__UnitOfVolume,s__Abstract) )).++fof(kb_SUMOcache_6832,axiom,(+ s__instance(s__UnitOfVolume__t,s__SetOrClass) )).++fof(kb_SUMOcache_6833,axiom,(+ s__subclass(s__UnitOfVolume,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6834,axiom,(+ s__subclass(s__BodyCovering,s__Physical) )).++fof(kb_SUMOcache_6835,axiom,(+ s__subclass(s__BodyCovering,s__OrganicObject) )).++fof(kb_SUMOcache_6836,axiom,(+ s__subclass(s__BodyCovering,s__AnatomicalStructure) )).++fof(kb_SUMOcache_6837,axiom,(+ s__subclass(s__BodyCovering,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6838,axiom,(+ s__instance(s__BodyCovering__t,s__SetOrClass) )).++fof(kb_SUMOcache_6839,axiom,(+ s__subclass(s__BodyCovering,s__OrganicThing) )).++fof(kb_SUMOcache_6840,axiom,(+ s__subclass(s__BodyCovering,s__Object) )).++fof(kb_SUMOcache_6841,axiom,(+ s__subclass(s__BodyCovering,s__CorpuscularObject) )).++fof(kb_SUMOcache_6842,axiom,(+ s__subclass(s__BodyCovering,s__Entity) )).++fof(kb_SUMOcache_6843,axiom,(+ s__subclass(s__PoliceOrganization,s__Physical) )).++fof(kb_SUMOcache_6844,axiom,(+ s__subclass(s__PoliceOrganization,s__Collection) )).++fof(kb_SUMOcache_6845,axiom,(+ s__subclass(s__PoliceOrganization,s__Agent) )).++fof(kb_SUMOcache_6846,axiom,(+ s__instance(s__PoliceOrganization__t,s__SetOrClass) )).++fof(kb_SUMOcache_6847,axiom,(+ s__instance(s__Agent__t,s__SetOrClass) )).++fof(kb_SUMOcache_6848,axiom,(+ s__subclass(s__PoliceOrganization,s__Organization) )).++fof(kb_SUMOcache_6849,axiom,(+ s__subclass(s__PoliceOrganization,s__Object) )).++fof(kb_SUMOcache_6850,axiom,(+ s__subclass(s__PoliceOrganization,s__Group) )).++fof(kb_SUMOcache_6851,axiom,(+ s__subclass(s__PoliceOrganization,s__Entity) )).++fof(kb_SUMOcache_6852,axiom,(+ s__subclass(s__Organization,s__Physical) )).++fof(kb_SUMOcache_6853,axiom,(+ s__subclass(s__Organization,s__Collection) )).++fof(kb_SUMOcache_6854,axiom,(+ s__subclass(s__Organization,s__Object) )).++fof(kb_SUMOcache_6855,axiom,(+ s__subclass(s__Organization,s__Entity) )).++fof(kb_SUMOcache_6856,axiom,(+ s__subclass(s__Measuring,s__Physical) )).++fof(kb_SUMOcache_6857,axiom,(+ s__instance(s__Measuring__t,s__SetOrClass) )).++fof(kb_SUMOcache_6858,axiom,(+ s__subclass(s__Measuring,s__IntentionalPsychologicalProcess) )).++fof(kb_SUMOcache_6859,axiom,(+ s__subclass(s__Measuring,s__Process) )).++fof(kb_SUMOcache_6860,axiom,(+ s__subclass(s__Measuring,s__PsychologicalProcess) )).++fof(kb_SUMOcache_6861,axiom,(+ s__subclass(s__Measuring,s__InternalChange) )).++fof(kb_SUMOcache_6862,axiom,(+ s__subclass(s__Measuring,s__BiologicalProcess) )).++fof(kb_SUMOcache_6863,axiom,(+ s__subclass(s__Measuring,s__IntentionalProcess) )).++fof(kb_SUMOcache_6864,axiom,(+ s__subclass(s__Measuring,s__Entity) )).++fof(kb_SUMOcache_6865,axiom,(+ s__subclass(s__Rodent,s__OrganicObject) )).++fof(kb_SUMOcache_6866,axiom,(+ s__subclass(s__Rodent,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_6867,axiom,(+ s__subclass(s__Rodent,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6868,axiom,(+ s__subclass(s__Rodent,s__Agent) )).++fof(kb_SUMOcache_6869,axiom,(+ s__subclass(s__Rodent,s__Animal) )).++fof(kb_SUMOcache_6870,axiom,(+ s__subclass(s__Rodent,s__Physical) )).++fof(kb_SUMOcache_6871,axiom,(+ s__subclass(s__Rodent,s__Vertebrate) )).++fof(kb_SUMOcache_6872,axiom,(+ s__subclass(s__Rodent,s__OrganicThing) )).++fof(kb_SUMOcache_6873,axiom,(+ s__subclass(s__Rodent,s__Organism) )).++fof(kb_SUMOcache_6874,axiom,(+ s__subclass(s__Rodent,s__CorpuscularObject) )).++fof(kb_SUMOcache_6875,axiom,(+ s__subclass(s__Rodent,s__Object) )).++fof(kb_SUMOcache_6876,axiom,(+ s__subclass(s__Rodent,s__Entity) )).++fof(kb_SUMOcache_6877,axiom,(+ s__instance(s__Rodent__t,s__SetOrClass) )).++fof(kb_SUMOcache_6878,axiom,(+ s__subclass(s__TernaryFunction,s__Relation) )).++fof(kb_SUMOcache_6879,axiom,(+ s__instance(s__TernaryFunction__t,s__SetOrClass) )).++fof(kb_SUMOcache_6880,axiom,(+ s__subclass(s__TernaryFunction,s__SingleValuedRelation) )).++fof(kb_SUMOcache_6881,axiom,(+ s__subclass(s__TernaryFunction,s__Entity) )).++fof(kb_SUMOcache_6882,axiom,(+ s__subclass(s__TernaryFunction,s__Abstract) )).++fof(kb_SUMOcache_6883,axiom,(+ s__subclass(s__Phrase,s__Physical) )).++fof(kb_SUMOcache_6884,axiom,(+ s__instance(s__Phrase__t,s__SetOrClass) )).++fof(kb_SUMOcache_6885,axiom,(+ s__subclass(s__Phrase,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6886,axiom,(+ s__subclass(s__Phrase,s__Entity) )).++fof(kb_SUMOcache_6887,axiom,(+ s__subclass(s__QuintaryPredicate,s__Relation) )).++fof(kb_SUMOcache_6888,axiom,(+ s__subclass(s__QuintaryPredicate,s__Entity) )).++fof(kb_SUMOcache_6889,axiom,(+ s__subclass(s__QuintaryPredicate,s__Abstract) )).++fof(kb_SUMOcache_6890,axiom,(+ s__instance(s__QuintaryPredicate__t,s__SetOrClass) )).++fof(kb_SUMOcache_6891,axiom,(+ s__subclass(s__Releasing,s__Physical) )).++fof(kb_SUMOcache_6892,axiom,(+ s__subclass(s__Releasing,s__Motion) )).++fof(kb_SUMOcache_6893,axiom,(+ s__subclass(s__Releasing,s__Process) )).++fof(kb_SUMOcache_6894,axiom,(+ s__subclass(s__Releasing,s__Translocation) )).++fof(kb_SUMOcache_6895,axiom,(+ s__instance(s__Releasing__t,s__SetOrClass) )).++fof(kb_SUMOcache_6896,axiom,(+ s__subclass(s__Releasing,s__Entity) )).++fof(kb_SUMOcache_6897,axiom,(+ s__subclass(s__FictionalText,s__Physical) )).++fof(kb_SUMOcache_6898,axiom,(+ s__subclass(s__FictionalText,s__Artifact) )).++fof(kb_SUMOcache_6899,axiom,(+ s__subclass(s__FictionalText,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6900,axiom,(+ s__subclass(s__FictionalText,s__ContentBearingObject) )).++fof(kb_SUMOcache_6901,axiom,(+ s__subclass(s__FictionalText,s__LinguisticExpression) )).++fof(kb_SUMOcache_6902,axiom,(+ s__subclass(s__FictionalText,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6903,axiom,(+ s__subclass(s__FictionalText,s__Object) )).++fof(kb_SUMOcache_6904,axiom,(+ s__subclass(s__FictionalText,s__CorpuscularObject) )).++fof(kb_SUMOcache_6905,axiom,(+ s__subclass(s__FictionalText,s__Entity) )).++fof(kb_SUMOcache_6906,axiom,(+ s__instance(s__FictionalText__t,s__SetOrClass) )).++fof(kb_SUMOcache_6907,axiom,(+ s__subclass(s__TruthValue,s__Attribute) )).++fof(kb_SUMOcache_6908,axiom,(+ s__instance(s__TruthValue__t,s__SetOrClass) )).++fof(kb_SUMOcache_6909,axiom,(+ s__subclass(s__TruthValue,s__Entity) )).++fof(kb_SUMOcache_6910,axiom,(+ s__subclass(s__TruthValue,s__Abstract) )).++fof(kb_SUMOcache_6911,axiom,(+ s__subclass(s__Inserting,s__Physical) )).++fof(kb_SUMOcache_6912,axiom,(+ s__subclass(s__Inserting,s__Motion) )).++fof(kb_SUMOcache_6913,axiom,(+ s__subclass(s__Inserting,s__Process) )).++fof(kb_SUMOcache_6914,axiom,(+ s__subclass(s__Inserting,s__Translocation) )).++fof(kb_SUMOcache_6915,axiom,(+ s__subclass(s__Inserting,s__Transfer) )).++fof(kb_SUMOcache_6916,axiom,(+ s__subclass(s__Inserting,s__Entity) )).++fof(kb_SUMOcache_6917,axiom,(+ s__instance(s__Inserting__t,s__SetOrClass) )).++fof(kb_SUMOcache_6918,axiom,(+ s__subclass(s__FiniteSet,s__SetOrClass) )).++fof(kb_SUMOcache_6919,axiom,(+ s__subclass(s__FiniteSet,s__Entity) )).++fof(kb_SUMOcache_6920,axiom,(+ s__subclass(s__FiniteSet,s__Abstract) )).++fof(kb_SUMOcache_6921,axiom,(+ s__instance(s__FiniteSet__t,s__SetOrClass) )).++fof(kb_SUMOcache_6922,axiom,(+ s__subclass(s__LinguisticCommunication,s__Physical) )).++fof(kb_SUMOcache_6923,axiom,(+ s__instance(s__LinguisticCommunication__t,s__SetOrClass) )).++fof(kb_SUMOcache_6924,axiom,(+ s__subclass(s__LinguisticCommunication,s__SocialInteraction) )).++fof(kb_SUMOcache_6925,axiom,(+ s__subclass(s__LinguisticCommunication,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6926,axiom,(+ s__subclass(s__LinguisticCommunication,s__Process) )).++fof(kb_SUMOcache_6927,axiom,(+ s__subclass(s__LinguisticCommunication,s__IntentionalProcess) )).++fof(kb_SUMOcache_6928,axiom,(+ s__subclass(s__LinguisticCommunication,s__ContentBearingProcess) )).++fof(kb_SUMOcache_6929,axiom,(+ s__subclass(s__LinguisticCommunication,s__Entity) )).++fof(kb_SUMOcache_6930,axiom,(+ s__subclass(s__PureSubstance,s__Physical) )).++fof(kb_SUMOcache_6931,axiom,(+ s__subclass(s__PureSubstance,s__SelfConnectedObject) )).++fof(kb_SUMOcache_6932,axiom,(+ s__subclass(s__PureSubstance,s__Object) )).++fof(kb_SUMOcache_6933,axiom,(+ s__subclass(s__PureSubstance,s__Entity) )).++fof(kb_SUMOcache_6934,axiom,(+ s__subclass(s__ChemicalDecomposition,s__Physical) )).++fof(kb_SUMOcache_6935,axiom,(+ s__subclass(s__ChemicalDecomposition,s__DualObjectProcess) )).++fof(kb_SUMOcache_6936,axiom,(+ s__instance(s__ChemicalDecomposition__t,s__SetOrClass) )).++fof(kb_SUMOcache_6937,axiom,(+ s__subclass(s__ChemicalDecomposition,s__Process) )).++fof(kb_SUMOcache_6938,axiom,(+ s__subclass(s__ChemicalDecomposition,s__InternalChange) )).++fof(kb_SUMOcache_6939,axiom,(+ s__subclass(s__ChemicalDecomposition,s__Entity) )).++fof(kb_SUMOcache_6940,axiom,(+ s__subclass(s__Business,s__Physical) )).++fof(kb_SUMOcache_6941,axiom,(+ s__subclass(s__Business,s__Collection) )).++fof(kb_SUMOcache_6942,axiom,(+ s__subclass(s__Business,s__Agent) )).++fof(kb_SUMOcache_6943,axiom,(+ s__subclass(s__Business,s__Group) )).++fof(kb_SUMOcache_6944,axiom,(+ s__instance(s__Business__t,s__SetOrClass) )).++fof(kb_SUMOcache_6945,axiom,(+ s__instance(s__Group__t,s__SetOrClass) )).++fof(kb_SUMOcache_6946,axiom,(+ s__subclass(s__Business,s__Object) )).++fof(kb_SUMOcache_6947,axiom,(+ s__subclass(s__Business,s__Entity) )).++fof(kb_SUMOcache_6948,axiom,(+ s__subclass(s__IntentionalPsychologicalProcess,s__Physical) )).++fof(kb_SUMOcache_6949,axiom,(+ s__subclass(s__IntentionalPsychologicalProcess,s__Process) )).++fof(kb_SUMOcache_6950,axiom,(+ s__instance(s__IntentionalPsychologicalProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_6951,axiom,(+ s__subclass(s__IntentionalPsychologicalProcess,s__BiologicalProcess) )).++fof(kb_SUMOcache_6952,axiom,(+ s__subclass(s__IntentionalPsychologicalProcess,s__InternalChange) )).++fof(kb_SUMOcache_6953,axiom,(+ s__subclass(s__IntentionalPsychologicalProcess,s__Entity) )).++fof(kb_SUMOcache_6954,axiom,(+ s__subclass(s__MakingVocalMusic,s__Physical) )).++fof(kb_SUMOcache_6955,axiom,(+ s__subclass(s__MakingVocalMusic,s__Motion) )).++fof(kb_SUMOcache_6956,axiom,(+ s__subclass(s__MakingVocalMusic,s__Process) )).++fof(kb_SUMOcache_6957,axiom,(+ s__subclass(s__MakingVocalMusic,s__Radiating) )).++fof(kb_SUMOcache_6958,axiom,(+ s__subclass(s__MakingVocalMusic,s__RadiatingSound) )).++fof(kb_SUMOcache_6959,axiom,(+ s__subclass(s__MakingVocalMusic,s__Entity) )).++fof(kb_SUMOcache_6960,axiom,(+ s__instance(s__MakingVocalMusic__t,s__SetOrClass) )).++fof(kb_SUMOcache_6961,axiom,(+ s__subclass(s__Putting,s__Physical) )).++fof(kb_SUMOcache_6962,axiom,(+ s__instance(s__Putting__t,s__SetOrClass) )).++fof(kb_SUMOcache_6963,axiom,(+ s__subclass(s__Putting,s__Motion) )).++fof(kb_SUMOcache_6964,axiom,(+ s__subclass(s__Putting,s__Process) )).++fof(kb_SUMOcache_6965,axiom,(+ s__subclass(s__Putting,s__Translocation) )).++fof(kb_SUMOcache_6966,axiom,(+ s__subclass(s__Putting,s__Entity) )).++fof(kb_SUMOcache_6967,axiom,(+ s__subclass(s__TimePosition,s__Quantity) )).++fof(kb_SUMOcache_6968,axiom,(+ s__subclass(s__TimePosition,s__ConstantQuantity) )).++fof(kb_SUMOcache_6969,axiom,(+ s__subclass(s__TimePosition,s__Abstract) )).++fof(kb_SUMOcache_6970,axiom,(+ s__subclass(s__TimePosition,s__Entity) )).++fof(kb_SUMOcache_6971,axiom,(+ s__subclass(s__TimePosition,s__PhysicalQuantity) )).++fof(kb_SUMOcache_6972,axiom,(+ s__subclass(s__Shooting,s__Physical) )).++fof(kb_SUMOcache_6973,axiom,(+ s__instance(s__Shooting__t,s__SetOrClass) )).++fof(kb_SUMOcache_6974,axiom,(+ s__subclass(s__Shooting,s__Motion) )).++fof(kb_SUMOcache_6975,axiom,(+ s__subclass(s__Shooting,s__Process) )).++fof(kb_SUMOcache_6976,axiom,(+ s__subclass(s__Shooting,s__Translocation) )).++fof(kb_SUMOcache_6977,axiom,(+ s__subclass(s__Shooting,s__Transfer) )).++fof(kb_SUMOcache_6978,axiom,(+ s__subclass(s__Shooting,s__Entity) )).++fof(kb_SUMOcache_6979,axiom,(+ s__subclass(s__Decreasing,s__Physical) )).++fof(kb_SUMOcache_6980,axiom,(+ s__instance(s__Decreasing__t,s__SetOrClass) )).++fof(kb_SUMOcache_6981,axiom,(+ s__subclass(s__Decreasing,s__Process) )).++fof(kb_SUMOcache_6982,axiom,(+ s__subclass(s__Decreasing,s__InternalChange) )).++fof(kb_SUMOcache_6983,axiom,(+ s__subclass(s__Decreasing,s__Entity) )).++fof(kb_SUMOcache_6984,axiom,(+ s__subclass(s__Transfer,s__Physical) )).++fof(kb_SUMOcache_6985,axiom,(+ s__subclass(s__Transfer,s__Motion) )).++fof(kb_SUMOcache_6986,axiom,(+ s__subclass(s__Transfer,s__Process) )).++fof(kb_SUMOcache_6987,axiom,(+ s__subclass(s__Transfer,s__Entity) )).++fof(kb_SUMOcache_6988,axiom,(+ s__subclass(s__Disseminating,s__Physical) )).++fof(kb_SUMOcache_6989,axiom,(+ s__instance(s__Disseminating__t,s__SetOrClass) )).++fof(kb_SUMOcache_6990,axiom,(+ s__subclass(s__Disseminating,s__SocialInteraction) )).++fof(kb_SUMOcache_6991,axiom,(+ s__subclass(s__Disseminating,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_6992,axiom,(+ s__subclass(s__Disseminating,s__Process) )).++fof(kb_SUMOcache_6993,axiom,(+ s__subclass(s__Disseminating,s__IntentionalProcess) )).++fof(kb_SUMOcache_6994,axiom,(+ s__subclass(s__Disseminating,s__ContentBearingProcess) )).++fof(kb_SUMOcache_6995,axiom,(+ s__subclass(s__Disseminating,s__Entity) )).++fof(kb_SUMOcache_6996,axiom,(+ s__subclass(s__GeometricPoint,s__StructureAttribute) )).++fof(kb_SUMOcache_6997,axiom,(+ s__subclass(s__GeometricPoint,s__ShapeAttribute) )).++fof(kb_SUMOcache_6998,axiom,(+ s__subclass(s__GeometricPoint,s__Attribute) )).++fof(kb_SUMOcache_6999,axiom,(+ s__subclass(s__GeometricPoint,s__InternalAttribute) )).++fof(kb_SUMOcache_7000,axiom,(+ s__subclass(s__GeometricPoint,s__Abstract) )).++fof(kb_SUMOcache_7001,axiom,(+ s__subclass(s__GeometricPoint,s__Entity) )).++fof(kb_SUMOcache_7002,axiom,(+ s__instance(s__GeometricPoint__t,s__SetOrClass) )).++fof(kb_SUMOcache_7003,axiom,(+ s__subclass(s__Argument,s__Abstract) )).++fof(kb_SUMOcache_7004,axiom,(+ s__subclass(s__Argument,s__Entity) )).++fof(kb_SUMOcache_7005,axiom,(+ s__subclass(s__MakingMusic,s__Physical) )).++fof(kb_SUMOcache_7006,axiom,(+ s__subclass(s__MakingMusic,s__Motion) )).++fof(kb_SUMOcache_7007,axiom,(+ s__subclass(s__MakingMusic,s__Process) )).++fof(kb_SUMOcache_7008,axiom,(+ s__instance(s__MakingMusic__t,s__SetOrClass) )).++fof(kb_SUMOcache_7009,axiom,(+ s__subclass(s__MakingMusic,s__Radiating) )).++fof(kb_SUMOcache_7010,axiom,(+ s__subclass(s__MakingMusic,s__Entity) )).++fof(kb_SUMOcache_7011,axiom,(+ s__subclass(s__DeonticAttribute,s__Attribute) )).++fof(kb_SUMOcache_7012,axiom,(+ s__subclass(s__DeonticAttribute,s__NormativeAttribute) )).++fof(kb_SUMOcache_7013,axiom,(+ s__subclass(s__DeonticAttribute,s__RelationalAttribute) )).++fof(kb_SUMOcache_7014,axiom,(+ s__instance(s__DeonticAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_7015,axiom,(+ s__subclass(s__DeonticAttribute,s__Abstract) )).++fof(kb_SUMOcache_7016,axiom,(+ s__subclass(s__DeonticAttribute,s__Entity) )).++fof(kb_SUMOcache_7017,axiom,(+ s__subclass(s__TerminatingEmployment,s__Physical) )).++fof(kb_SUMOcache_7018,axiom,(+ s__subclass(s__TerminatingEmployment,s__Process) )).++fof(kb_SUMOcache_7019,axiom,(+ s__subclass(s__TerminatingEmployment,s__IntentionalProcess) )).++fof(kb_SUMOcache_7020,axiom,(+ s__subclass(s__TerminatingEmployment,s__OrganizationalProcess) )).++fof(kb_SUMOcache_7021,axiom,(+ s__subclass(s__TerminatingEmployment,s__Entity) )).++fof(kb_SUMOcache_7022,axiom,(+ s__instance(s__TerminatingEmployment__t,s__SetOrClass) )).++fof(kb_SUMOcache_7023,axiom,(+ s__subclass(s__Evaporating,s__Physical) )).++fof(kb_SUMOcache_7024,axiom,(+ s__subclass(s__Evaporating,s__Process) )).++fof(kb_SUMOcache_7025,axiom,(+ s__instance(s__Evaporating__t,s__SetOrClass) )).++fof(kb_SUMOcache_7026,axiom,(+ s__subclass(s__Evaporating,s__InternalChange) )).++fof(kb_SUMOcache_7027,axiom,(+ s__subclass(s__Evaporating,s__Entity) )).++fof(kb_SUMOcache_7028,axiom,(+ s__subclass(s__PhysicalState,s__Attribute) )).++fof(kb_SUMOcache_7029,axiom,(+ s__instance(s__PhysicalState__t,s__SetOrClass) )).++fof(kb_SUMOcache_7030,axiom,(+ s__subclass(s__PhysicalState,s__Entity) )).++fof(kb_SUMOcache_7031,axiom,(+ s__subclass(s__PhysicalState,s__Abstract) )).++fof(kb_SUMOcache_7032,axiom,(+ s__subclass(s__Betting,s__Physical) )).++fof(kb_SUMOcache_7033,axiom,(+ s__subclass(s__Betting,s__Transaction) )).++fof(kb_SUMOcache_7034,axiom,(+ s__subclass(s__Betting,s__DualObjectProcess) )).++fof(kb_SUMOcache_7035,axiom,(+ s__instance(s__Betting__t,s__SetOrClass) )).++fof(kb_SUMOcache_7036,axiom,(+ s__instance(s__DualObjectProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_7037,axiom,(+ s__subclass(s__Betting,s__SocialInteraction) )).++fof(kb_SUMOcache_7038,axiom,(+ s__subclass(s__Betting,s__Process) )).++fof(kb_SUMOcache_7039,axiom,(+ s__subclass(s__Betting,s__ChangeOfPossession) )).++fof(kb_SUMOcache_7040,axiom,(+ s__subclass(s__Betting,s__IntentionalProcess) )).++fof(kb_SUMOcache_7041,axiom,(+ s__subclass(s__Betting,s__Entity) )).++fof(kb_SUMOcache_7042,axiom,(+ s__subclass(s__LandTransitway,s__Physical) )).++fof(kb_SUMOcache_7043,axiom,(+ s__instance(s__LandTransitway__t,s__SetOrClass) )).++fof(kb_SUMOcache_7044,axiom,(+ s__subclass(s__LandTransitway,s__GeographicArea) )).++fof(kb_SUMOcache_7045,axiom,(+ s__subclass(s__LandTransitway,s__Region) )).++fof(kb_SUMOcache_7046,axiom,(+ s__subclass(s__LandTransitway,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7047,axiom,(+ s__subclass(s__LandTransitway,s__Object) )).++fof(kb_SUMOcache_7048,axiom,(+ s__subclass(s__LandTransitway,s__Entity) )).++fof(kb_SUMOcache_7049,axiom,(+ s__subclass(s__ValidDeductiveArgument,s__Proposition) )).++fof(kb_SUMOcache_7050,axiom,(+ s__subclass(s__ValidDeductiveArgument,s__Argument) )).++fof(kb_SUMOcache_7051,axiom,(+ s__subclass(s__ValidDeductiveArgument,s__Entity) )).++fof(kb_SUMOcache_7052,axiom,(+ s__subclass(s__ValidDeductiveArgument,s__Abstract) )).++fof(kb_SUMOcache_7053,axiom,(+ s__instance(s__ValidDeductiveArgument__t,s__SetOrClass) )).++fof(kb_SUMOcache_7054,axiom,(+ s__subclass(s__BodyJunction,s__Physical) )).++fof(kb_SUMOcache_7055,axiom,(+ s__subclass(s__BodyJunction,s__OrganicObject) )).++fof(kb_SUMOcache_7056,axiom,(+ s__subclass(s__BodyJunction,s__AnatomicalStructure) )).++fof(kb_SUMOcache_7057,axiom,(+ s__subclass(s__BodyJunction,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7058,axiom,(+ s__subclass(s__BodyJunction,s__OrganicThing) )).++fof(kb_SUMOcache_7059,axiom,(+ s__subclass(s__BodyJunction,s__Object) )).++fof(kb_SUMOcache_7060,axiom,(+ s__subclass(s__BodyJunction,s__CorpuscularObject) )).++fof(kb_SUMOcache_7061,axiom,(+ s__subclass(s__BodyJunction,s__Entity) )).++fof(kb_SUMOcache_7062,axiom,(+ s__instance(s__BodyJunction__t,s__SetOrClass) )).++fof(kb_SUMOcache_7063,axiom,(+ s__subclass(s__DirectionalAttribute,s__Attribute) )).++fof(kb_SUMOcache_7064,axiom,(+ s__instance(s__DirectionalAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_7065,axiom,(+ s__subclass(s__DirectionalAttribute,s__RelationalAttribute) )).++fof(kb_SUMOcache_7066,axiom,(+ s__subclass(s__DirectionalAttribute,s__Abstract) )).++fof(kb_SUMOcache_7067,axiom,(+ s__subclass(s__DirectionalAttribute,s__Entity) )).++fof(kb_SUMOcache_7068,axiom,(+ s__subclass(s__RadiatingLight,s__Physical) )).++fof(kb_SUMOcache_7069,axiom,(+ s__subclass(s__RadiatingLight,s__Motion) )).++fof(kb_SUMOcache_7070,axiom,(+ s__subclass(s__RadiatingLight,s__Process) )).++fof(kb_SUMOcache_7071,axiom,(+ s__instance(s__RadiatingLight__t,s__SetOrClass) )).++fof(kb_SUMOcache_7072,axiom,(+ s__subclass(s__RadiatingLight,s__Radiating) )).++fof(kb_SUMOcache_7073,axiom,(+ s__subclass(s__RadiatingLight,s__Entity) )).++fof(kb_SUMOcache_7074,axiom,(+ s__subclass(s__WaterMotion,s__Physical) )).++fof(kb_SUMOcache_7075,axiom,(+ s__instance(s__WaterMotion__t,s__SetOrClass) )).++fof(kb_SUMOcache_7076,axiom,(+ s__instance(s__Physical__t,s__SetOrClass) )).++fof(kb_SUMOcache_7077,axiom,(+ s__subclass(s__WaterMotion,s__Motion) )).++fof(kb_SUMOcache_7078,axiom,(+ s__instance(s__Motion__t,s__SetOrClass) )).++fof(kb_SUMOcache_7079,axiom,(+ s__subclass(s__WaterMotion,s__Process) )).++fof(kb_SUMOcache_7080,axiom,(+ s__instance(s__Process__t,s__SetOrClass) )).++fof(kb_SUMOcache_7081,axiom,(+ s__subclass(s__WaterMotion,s__Entity) )).++fof(kb_SUMOcache_7082,axiom,(+ s__subclass(s__LogicalOperator,s__Relation) )).++fof(kb_SUMOcache_7083,axiom,(+ s__subclass(s__LogicalOperator,s__InheritableRelation) )).++fof(kb_SUMOcache_7084,axiom,(+ s__subclass(s__LogicalOperator,s__Entity) )).++fof(kb_SUMOcache_7085,axiom,(+ s__subclass(s__LogicalOperator,s__Abstract) )).++fof(kb_SUMOcache_7086,axiom,(+ s__instance(s__LogicalOperator__t,s__SetOrClass) )).++fof(kb_SUMOcache_7087,axiom,(+ s__subclass(s__UnitOfFrequency,s__Quantity) )).++fof(kb_SUMOcache_7088,axiom,(+ s__instance(s__UnitOfFrequency__t,s__SetOrClass) )).++fof(kb_SUMOcache_7089,axiom,(+ s__subclass(s__UnitOfFrequency,s__UnitOfMeasure) )).++fof(kb_SUMOcache_7090,axiom,(+ s__subclass(s__UnitOfFrequency,s__Entity) )).++fof(kb_SUMOcache_7091,axiom,(+ s__subclass(s__UnitOfFrequency,s__Abstract) )).++fof(kb_SUMOcache_7092,axiom,(+ s__subclass(s__UnitOfFrequency,s__PhysicalQuantity) )).++fof(kb_SUMOcache_7093,axiom,(+ s__subclass(s__SaturationAttribute,s__Attribute) )).++fof(kb_SUMOcache_7094,axiom,(+ s__instance(s__SaturationAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_7095,axiom,(+ s__subclass(s__SaturationAttribute,s__Entity) )).++fof(kb_SUMOcache_7096,axiom,(+ s__subclass(s__SaturationAttribute,s__Abstract) )).++fof(kb_SUMOcache_7097,axiom,(+ s__subclass(s__Radiating,s__Physical) )).++fof(kb_SUMOcache_7098,axiom,(+ s__subclass(s__Radiating,s__Process) )).++fof(kb_SUMOcache_7099,axiom,(+ s__subclass(s__Radiating,s__Entity) )).++fof(kb_SUMOcache_7100,axiom,(+ s__subclass(s__BiologicallyActiveSubstance,s__Physical) )).++fof(kb_SUMOcache_7101,axiom,(+ s__subclass(s__BiologicallyActiveSubstance,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7102,axiom,(+ s__subclass(s__BiologicallyActiveSubstance,s__Object) )).++fof(kb_SUMOcache_7103,axiom,(+ s__subclass(s__BiologicallyActiveSubstance,s__Entity) )).++fof(kb_SUMOcache_7104,axiom,(+ s__subclass(s__ReligiousProcess,s__Physical) )).++fof(kb_SUMOcache_7105,axiom,(+ s__instance(s__ReligiousProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_7106,axiom,(+ s__subclass(s__ReligiousProcess,s__Process) )).++fof(kb_SUMOcache_7107,axiom,(+ s__subclass(s__ReligiousProcess,s__IntentionalProcess) )).++fof(kb_SUMOcache_7108,axiom,(+ s__subclass(s__ReligiousProcess,s__Entity) )).++fof(kb_SUMOcache_7109,axiom,(+ s__subclass(s__Island,s__Physical) )).++fof(kb_SUMOcache_7110,axiom,(+ s__subclass(s__Island,s__GeographicArea) )).++fof(kb_SUMOcache_7111,axiom,(+ s__subclass(s__Island,s__Region) )).++fof(kb_SUMOcache_7112,axiom,(+ s__subclass(s__Island,s__Object) )).++fof(kb_SUMOcache_7113,axiom,(+ s__instance(s__Island__t,s__SetOrClass) )).++fof(kb_SUMOcache_7114,axiom,(+ s__subclass(s__Island,s__Entity) )).++fof(kb_SUMOcache_7115,axiom,(+ s__subclass(s__DeductiveArgument,s__Proposition) )).++fof(kb_SUMOcache_7116,axiom,(+ s__subclass(s__DeductiveArgument,s__Entity) )).++fof(kb_SUMOcache_7117,axiom,(+ s__instance(s__DeductiveArgument__t,s__SetOrClass) )).++fof(kb_SUMOcache_7118,axiom,(+ s__subclass(s__DeductiveArgument,s__Abstract) )).++fof(kb_SUMOcache_7119,axiom,(+ s__subclass(s__RadiatingSound,s__Physical) )).++fof(kb_SUMOcache_7120,axiom,(+ s__subclass(s__RadiatingSound,s__Motion) )).++fof(kb_SUMOcache_7121,axiom,(+ s__instance(s__RadiatingSound__t,s__SetOrClass) )).++fof(kb_SUMOcache_7122,axiom,(+ s__subclass(s__RadiatingSound,s__Process) )).++fof(kb_SUMOcache_7123,axiom,(+ s__subclass(s__RadiatingSound,s__Entity) )).++fof(kb_SUMOcache_7124,axiom,(+ s__subclass(s__BinaryRelation,s__Entity) )).++fof(kb_SUMOcache_7125,axiom,(+ s__subclass(s__BinaryRelation,s__Abstract) )).++fof(kb_SUMOcache_7126,axiom,(+ s__subclass(s__March,s__Quantity) )).++fof(kb_SUMOcache_7127,axiom,(+ s__subclass(s__March,s__ConstantQuantity) )).++fof(kb_SUMOcache_7128,axiom,(+ s__subclass(s__March,s__TimeMeasure) )).++fof(kb_SUMOcache_7129,axiom,(+ s__subclass(s__March,s__TimeInterval) )).++fof(kb_SUMOcache_7130,axiom,(+ s__instance(s__March__t,s__SetOrClass) )).++fof(kb_SUMOcache_7131,axiom,(+ s__subclass(s__March,s__TimePosition) )).++fof(kb_SUMOcache_7132,axiom,(+ s__subclass(s__March,s__Entity) )).++fof(kb_SUMOcache_7133,axiom,(+ s__subclass(s__March,s__Abstract) )).++fof(kb_SUMOcache_7134,axiom,(+ s__subclass(s__March,s__PhysicalQuantity) )).++fof(kb_SUMOcache_7135,axiom,(+ s__subclass(s__BiologicalAttribute,s__Attribute) )).++fof(kb_SUMOcache_7136,axiom,(+ s__subclass(s__BiologicalAttribute,s__Entity) )).++fof(kb_SUMOcache_7137,axiom,(+ s__subclass(s__BiologicalAttribute,s__Abstract) )).++fof(kb_SUMOcache_7138,axiom,(+ s__subclass(s__Marsupial,s__OrganicObject) )).++fof(kb_SUMOcache_7139,axiom,(+ s__subclass(s__Marsupial,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_7140,axiom,(+ s__instance(s__Marsupial__t,s__SetOrClass) )).++fof(kb_SUMOcache_7141,axiom,(+ s__subclass(s__Marsupial,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7142,axiom,(+ s__subclass(s__Marsupial,s__Agent) )).++fof(kb_SUMOcache_7143,axiom,(+ s__subclass(s__Marsupial,s__Animal) )).++fof(kb_SUMOcache_7144,axiom,(+ s__subclass(s__Marsupial,s__Physical) )).++fof(kb_SUMOcache_7145,axiom,(+ s__subclass(s__Marsupial,s__Vertebrate) )).++fof(kb_SUMOcache_7146,axiom,(+ s__subclass(s__Marsupial,s__OrganicThing) )).++fof(kb_SUMOcache_7147,axiom,(+ s__subclass(s__Marsupial,s__Organism) )).++fof(kb_SUMOcache_7148,axiom,(+ s__subclass(s__Marsupial,s__CorpuscularObject) )).++fof(kb_SUMOcache_7149,axiom,(+ s__subclass(s__Marsupial,s__Object) )).++fof(kb_SUMOcache_7150,axiom,(+ s__subclass(s__Marsupial,s__Entity) )).++fof(kb_SUMOcache_7151,axiom,(+ s__subclass(s__Graduation,s__Physical) )).++fof(kb_SUMOcache_7152,axiom,(+ s__subclass(s__Graduation,s__Process) )).++fof(kb_SUMOcache_7153,axiom,(+ s__subclass(s__Graduation,s__IntentionalProcess) )).++fof(kb_SUMOcache_7154,axiom,(+ s__subclass(s__Graduation,s__OrganizationalProcess) )).++fof(kb_SUMOcache_7155,axiom,(+ s__instance(s__Graduation__t,s__SetOrClass) )).++fof(kb_SUMOcache_7156,axiom,(+ s__instance(s__OrganizationalProcess__t,s__SetOrClass) )).++fof(kb_SUMOcache_7157,axiom,(+ s__subclass(s__Graduation,s__Entity) )).++fof(kb_SUMOcache_7158,axiom,(+ s__subclass(s__Manufacturer,s__Physical) )).++fof(kb_SUMOcache_7159,axiom,(+ s__instance(s__Manufacturer__t,s__SetOrClass) )).++fof(kb_SUMOcache_7160,axiom,(+ s__subclass(s__Manufacturer,s__Collection) )).++fof(kb_SUMOcache_7161,axiom,(+ s__subclass(s__Manufacturer,s__Business) )).++fof(kb_SUMOcache_7162,axiom,(+ s__subclass(s__Manufacturer,s__Agent) )).++fof(kb_SUMOcache_7163,axiom,(+ s__subclass(s__Manufacturer,s__Organization) )).++fof(kb_SUMOcache_7164,axiom,(+ s__instance(s__Organization__t,s__SetOrClass) )).++fof(kb_SUMOcache_7165,axiom,(+ s__subclass(s__Manufacturer,s__CommercialAgent) )).++fof(kb_SUMOcache_7166,axiom,(+ s__instance(s__CommercialAgent__t,s__SetOrClass) )).++fof(kb_SUMOcache_7167,axiom,(+ s__subclass(s__Manufacturer,s__Object) )).++fof(kb_SUMOcache_7168,axiom,(+ s__subclass(s__Manufacturer,s__Group) )).++fof(kb_SUMOcache_7169,axiom,(+ s__subclass(s__Manufacturer,s__LegalAgent) )).++fof(kb_SUMOcache_7170,axiom,(+ s__instance(s__LegalAgent__t,s__SetOrClass) )).++fof(kb_SUMOcache_7171,axiom,(+ s__subclass(s__Manufacturer,s__Entity) )).++fof(kb_SUMOcache_7172,axiom,(+ s__subclass(s__VisualAttribute,s__Attribute) )).++fof(kb_SUMOcache_7173,axiom,(+ s__subclass(s__VisualAttribute,s__Entity) )).++fof(kb_SUMOcache_7174,axiom,(+ s__subclass(s__VisualAttribute,s__Abstract) )).++fof(kb_SUMOcache_7175,axiom,(+ s__subclass(s__Declaring,s__Physical) )).++fof(kb_SUMOcache_7176,axiom,(+ s__subclass(s__Declaring,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_7177,axiom,(+ s__subclass(s__Declaring,s__SocialInteraction) )).++fof(kb_SUMOcache_7178,axiom,(+ s__subclass(s__Declaring,s__Process) )).++fof(kb_SUMOcache_7179,axiom,(+ s__subclass(s__Declaring,s__Communication) )).++fof(kb_SUMOcache_7180,axiom,(+ s__instance(s__Declaring__t,s__SetOrClass) )).++fof(kb_SUMOcache_7181,axiom,(+ s__instance(s__Communication__t,s__SetOrClass) )).++fof(kb_SUMOcache_7182,axiom,(+ s__subclass(s__Declaring,s__IntentionalProcess) )).++fof(kb_SUMOcache_7183,axiom,(+ s__subclass(s__Declaring,s__ContentBearingProcess) )).++fof(kb_SUMOcache_7184,axiom,(+ s__subclass(s__Declaring,s__Entity) )).++fof(kb_SUMOcache_7185,axiom,(+ s__subclass(s__Corporation,s__Physical) )).++fof(kb_SUMOcache_7186,axiom,(+ s__subclass(s__Corporation,s__Collection) )).++fof(kb_SUMOcache_7187,axiom,(+ s__subclass(s__Corporation,s__Agent) )).++fof(kb_SUMOcache_7188,axiom,(+ s__subclass(s__Corporation,s__Organization) )).++fof(kb_SUMOcache_7189,axiom,(+ s__instance(s__Corporation__t,s__SetOrClass) )).++fof(kb_SUMOcache_7190,axiom,(+ s__subclass(s__Corporation,s__CommercialAgent) )).++fof(kb_SUMOcache_7191,axiom,(+ s__subclass(s__Corporation,s__Object) )).++fof(kb_SUMOcache_7192,axiom,(+ s__subclass(s__Corporation,s__Group) )).++fof(kb_SUMOcache_7193,axiom,(+ s__subclass(s__Corporation,s__Entity) )).++fof(kb_SUMOcache_7194,axiom,(+ s__subclass(s__ViolentContest,s__Physical) )).++fof(kb_SUMOcache_7195,axiom,(+ s__subclass(s__ViolentContest,s__SocialInteraction) )).++fof(kb_SUMOcache_7196,axiom,(+ s__subclass(s__ViolentContest,s__Process) )).++fof(kb_SUMOcache_7197,axiom,(+ s__subclass(s__ViolentContest,s__IntentionalProcess) )).++fof(kb_SUMOcache_7198,axiom,(+ s__instance(s__ViolentContest__t,s__SetOrClass) )).++fof(kb_SUMOcache_7199,axiom,(+ s__subclass(s__ViolentContest,s__Entity) )).++fof(kb_SUMOcache_7200,axiom,(+ s__subclass(s__Muscle,s__Physical) )).++fof(kb_SUMOcache_7201,axiom,(+ s__subclass(s__Muscle,s__BodySubstance) )).++fof(kb_SUMOcache_7202,axiom,(+ s__subclass(s__Muscle,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7203,axiom,(+ s__subclass(s__Muscle,s__Substance) )).++fof(kb_SUMOcache_7204,axiom,(+ s__instance(s__Muscle__t,s__SetOrClass) )).++fof(kb_SUMOcache_7205,axiom,(+ s__subclass(s__Muscle,s__Object) )).++fof(kb_SUMOcache_7206,axiom,(+ s__subclass(s__Muscle,s__Entity) )).++fof(kb_SUMOcache_7207,axiom,(+ s__subclass(s__Adverb,s__Physical) )).++fof(kb_SUMOcache_7208,axiom,(+ s__subclass(s__Adverb,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_7209,axiom,(+ s__subclass(s__Adverb,s__LinguisticExpression) )).++fof(kb_SUMOcache_7210,axiom,(+ s__instance(s__Adverb__t,s__SetOrClass) )).++fof(kb_SUMOcache_7211,axiom,(+ s__subclass(s__Adverb,s__Entity) )).++fof(kb_SUMOcache_7212,axiom,(+ s__subclass(s__DirectedGraph,s__Abstract) )).++fof(kb_SUMOcache_7213,axiom,(+ s__subclass(s__DirectedGraph,s__Entity) )).++fof(kb_SUMOcache_7214,axiom,(+ s__subclass(s__ContestAttribute,s__Attribute) )).++fof(kb_SUMOcache_7215,axiom,(+ s__instance(s__ContestAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_7216,axiom,(+ s__subclass(s__ContestAttribute,s__NormativeAttribute) )).++fof(kb_SUMOcache_7217,axiom,(+ s__subclass(s__ContestAttribute,s__RelationalAttribute) )).++fof(kb_SUMOcache_7218,axiom,(+ s__subclass(s__ContestAttribute,s__Abstract) )).++fof(kb_SUMOcache_7219,axiom,(+ s__subclass(s__ContestAttribute,s__Entity) )).++fof(kb_SUMOcache_7220,axiom,(+ s__subclass(s__ObjectAttitude,s__Relation) )).++fof(kb_SUMOcache_7221,axiom,(+ s__subclass(s__ObjectAttitude,s__Entity) )).++fof(kb_SUMOcache_7222,axiom,(+ s__instance(s__ObjectAttitude__t,s__SetOrClass) )).++fof(kb_SUMOcache_7223,axiom,(+ s__subclass(s__ObjectAttitude,s__Abstract) )).++fof(kb_SUMOcache_7224,axiom,(+ s__subclass(s__Vitamin,s__Physical) )).++fof(kb_SUMOcache_7225,axiom,(+ s__instance(s__Vitamin__t,s__SetOrClass) )).++fof(kb_SUMOcache_7226,axiom,(+ s__subclass(s__Vitamin,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7227,axiom,(+ s__subclass(s__Vitamin,s__BiologicallyActiveSubstance) )).++fof(kb_SUMOcache_7228,axiom,(+ s__subclass(s__Vitamin,s__Substance) )).++fof(kb_SUMOcache_7229,axiom,(+ s__subclass(s__Vitamin,s__Object) )).++fof(kb_SUMOcache_7230,axiom,(+ s__subclass(s__Vitamin,s__Entity) )).++fof(kb_SUMOcache_7231,axiom,(+ s__subclass(s__Relation,s__Entity) )).++fof(kb_SUMOcache_7232,axiom,(+ s__subclass(s__Supposing,s__Physical) )).++fof(kb_SUMOcache_7233,axiom,(+ s__subclass(s__Supposing,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_7234,axiom,(+ s__subclass(s__Supposing,s__SocialInteraction) )).++fof(kb_SUMOcache_7235,axiom,(+ s__instance(s__Supposing__t,s__SetOrClass) )).++fof(kb_SUMOcache_7236,axiom,(+ s__subclass(s__Supposing,s__Process) )).++fof(kb_SUMOcache_7237,axiom,(+ s__subclass(s__Supposing,s__Communication) )).++fof(kb_SUMOcache_7238,axiom,(+ s__subclass(s__Supposing,s__IntentionalProcess) )).++fof(kb_SUMOcache_7239,axiom,(+ s__subclass(s__Supposing,s__ContentBearingProcess) )).++fof(kb_SUMOcache_7240,axiom,(+ s__subclass(s__Supposing,s__Entity) )).++fof(kb_SUMOcache_7241,axiom,(+ s__subclass(s__Quantity,s__Entity) )).++fof(kb_SUMOcache_7242,axiom,(+ s__subclass(s__Machine,s__Physical) )).++fof(kb_SUMOcache_7243,axiom,(+ s__subclass(s__Machine,s__Artifact) )).++fof(kb_SUMOcache_7244,axiom,(+ s__subclass(s__Machine,s__Object) )).++fof(kb_SUMOcache_7245,axiom,(+ s__instance(s__Machine__t,s__SetOrClass) )).++fof(kb_SUMOcache_7246,axiom,(+ s__subclass(s__Machine,s__Entity) )).++fof(kb_SUMOcache_7247,axiom,(+ s__subclass(s__Grabbing,s__Physical) )).++fof(kb_SUMOcache_7248,axiom,(+ s__subclass(s__Grabbing,s__Motion) )).++fof(kb_SUMOcache_7249,axiom,(+ s__subclass(s__Grabbing,s__DualObjectProcess) )).++fof(kb_SUMOcache_7250,axiom,(+ s__instance(s__Grabbing__t,s__SetOrClass) )).++fof(kb_SUMOcache_7251,axiom,(+ s__subclass(s__Grabbing,s__Process) )).++fof(kb_SUMOcache_7252,axiom,(+ s__subclass(s__Grabbing,s__Translocation) )).++fof(kb_SUMOcache_7253,axiom,(+ s__subclass(s__Grabbing,s__Transfer) )).++fof(kb_SUMOcache_7254,axiom,(+ s__subclass(s__Grabbing,s__Entity) )).++fof(kb_SUMOcache_7255,axiom,(+ s__subclass(s__Insect,s__Physical) )).++fof(kb_SUMOcache_7256,axiom,(+ s__subclass(s__Insect,s__OrganicObject) )).++fof(kb_SUMOcache_7257,axiom,(+ s__subclass(s__Insect,s__Invertebrate) )).++fof(kb_SUMOcache_7258,axiom,(+ s__subclass(s__Insect,s__Agent) )).++fof(kb_SUMOcache_7259,axiom,(+ s__subclass(s__Insect,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7260,axiom,(+ s__subclass(s__Insect,s__Animal) )).++fof(kb_SUMOcache_7261,axiom,(+ s__subclass(s__Insect,s__OrganicThing) )).++fof(kb_SUMOcache_7262,axiom,(+ s__subclass(s__Insect,s__Organism) )).++fof(kb_SUMOcache_7263,axiom,(+ s__instance(s__Organism__t,s__SetOrClass) )).++fof(kb_SUMOcache_7264,axiom,(+ s__subclass(s__Insect,s__Object) )).++fof(kb_SUMOcache_7265,axiom,(+ s__subclass(s__Insect,s__CorpuscularObject) )).++fof(kb_SUMOcache_7266,axiom,(+ s__instance(s__Insect__t,s__SetOrClass) )).++fof(kb_SUMOcache_7267,axiom,(+ s__instance(s__CorpuscularObject__t,s__SetOrClass) )).++fof(kb_SUMOcache_7268,axiom,(+ s__subclass(s__Insect,s__Entity) )).++fof(kb_SUMOcache_7269,axiom,(+ s__subclass(s__Reptile,s__Physical) )).++fof(kb_SUMOcache_7270,axiom,(+ s__subclass(s__Reptile,s__OrganicObject) )).++fof(kb_SUMOcache_7271,axiom,(+ s__subclass(s__Reptile,s__Agent) )).++fof(kb_SUMOcache_7272,axiom,(+ s__subclass(s__Reptile,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7273,axiom,(+ s__subclass(s__Reptile,s__Vertebrate) )).++fof(kb_SUMOcache_7274,axiom,(+ s__instance(s__Reptile__t,s__SetOrClass) )).++fof(kb_SUMOcache_7275,axiom,(+ s__subclass(s__Reptile,s__Animal) )).++fof(kb_SUMOcache_7276,axiom,(+ s__subclass(s__Reptile,s__OrganicThing) )).++fof(kb_SUMOcache_7277,axiom,(+ s__subclass(s__Reptile,s__Organism) )).++fof(kb_SUMOcache_7278,axiom,(+ s__subclass(s__Reptile,s__Object) )).++fof(kb_SUMOcache_7279,axiom,(+ s__subclass(s__Reptile,s__CorpuscularObject) )).++fof(kb_SUMOcache_7280,axiom,(+ s__subclass(s__Reptile,s__Entity) )).++fof(kb_SUMOcache_7281,axiom,(+ s__subclass(s__Removing,s__Physical) )).++fof(kb_SUMOcache_7282,axiom,(+ s__subclass(s__Removing,s__Motion) )).++fof(kb_SUMOcache_7283,axiom,(+ s__subclass(s__Removing,s__Process) )).++fof(kb_SUMOcache_7284,axiom,(+ s__subclass(s__Removing,s__Translocation) )).++fof(kb_SUMOcache_7285,axiom,(+ s__instance(s__Removing__t,s__SetOrClass) )).++fof(kb_SUMOcache_7286,axiom,(+ s__subclass(s__Removing,s__Entity) )).++fof(kb_SUMOcache_7287,axiom,(+ s__subclass(s__AgeGroup,s__Physical) )).++fof(kb_SUMOcache_7288,axiom,(+ s__subclass(s__AgeGroup,s__Collection) )).++fof(kb_SUMOcache_7289,axiom,(+ s__subclass(s__AgeGroup,s__Agent) )).++fof(kb_SUMOcache_7290,axiom,(+ s__subclass(s__AgeGroup,s__Group) )).++fof(kb_SUMOcache_7291,axiom,(+ s__subclass(s__AgeGroup,s__Object) )).++fof(kb_SUMOcache_7292,axiom,(+ s__instance(s__AgeGroup__t,s__SetOrClass) )).++fof(kb_SUMOcache_7293,axiom,(+ s__subclass(s__AgeGroup,s__Entity) )).++fof(kb_SUMOcache_7294,axiom,(+ s__subclass(s__Blood,s__Physical) )).++fof(kb_SUMOcache_7295,axiom,(+ s__subclass(s__Blood,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7296,axiom,(+ s__subclass(s__Blood,s__Substance) )).++fof(kb_SUMOcache_7297,axiom,(+ s__subclass(s__Blood,s__Object) )).++fof(kb_SUMOcache_7298,axiom,(+ s__instance(s__Blood__t,s__SetOrClass) )).++fof(kb_SUMOcache_7299,axiom,(+ s__subclass(s__Blood,s__Entity) )).++fof(kb_SUMOcache_7300,axiom,(+ s__subclass(s__Text,s__Physical) )).++fof(kb_SUMOcache_7301,axiom,(+ s__instance(s__Text__t,s__SetOrClass) )).++fof(kb_SUMOcache_7302,axiom,(+ s__subclass(s__Text,s__ContentBearingPhysical) )).++fof(kb_SUMOcache_7303,axiom,(+ s__subclass(s__Text,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7304,axiom,(+ s__subclass(s__Text,s__CorpuscularObject) )).++fof(kb_SUMOcache_7305,axiom,(+ s__subclass(s__Text,s__Object) )).++fof(kb_SUMOcache_7306,axiom,(+ s__subclass(s__Text,s__Entity) )).++fof(kb_SUMOcache_7307,axiom,(+ s__subclass(s__SexualReproduction,s__Physical) )).++fof(kb_SUMOcache_7308,axiom,(+ s__instance(s__SexualReproduction__t,s__SetOrClass) )).++fof(kb_SUMOcache_7309,axiom,(+ s__subclass(s__SexualReproduction,s__PhysiologicProcess) )).++fof(kb_SUMOcache_7310,axiom,(+ s__subclass(s__SexualReproduction,s__Process) )).++fof(kb_SUMOcache_7311,axiom,(+ s__subclass(s__SexualReproduction,s__BiologicalProcess) )).++fof(kb_SUMOcache_7312,axiom,(+ s__subclass(s__SexualReproduction,s__InternalChange) )).++fof(kb_SUMOcache_7313,axiom,(+ s__subclass(s__SexualReproduction,s__OrganismProcess) )).++fof(kb_SUMOcache_7314,axiom,(+ s__subclass(s__SexualReproduction,s__Entity) )).++fof(kb_SUMOcache_7315,axiom,(+ s__subclass(s__County,s__Physical) )).++fof(kb_SUMOcache_7316,axiom,(+ s__instance(s__County__t,s__SetOrClass) )).++fof(kb_SUMOcache_7317,axiom,(+ s__subclass(s__County,s__GeographicArea) )).++fof(kb_SUMOcache_7318,axiom,(+ s__instance(s__GeographicArea__t,s__SetOrClass) )).++fof(kb_SUMOcache_7319,axiom,(+ s__subclass(s__County,s__Region) )).++fof(kb_SUMOcache_7320,axiom,(+ s__instance(s__Region__t,s__SetOrClass) )).++fof(kb_SUMOcache_7321,axiom,(+ s__subclass(s__County,s__Agent) )).++fof(kb_SUMOcache_7322,axiom,(+ s__subclass(s__County,s__Object) )).++fof(kb_SUMOcache_7323,axiom,(+ s__subclass(s__County,s__Entity) )).++fof(kb_SUMOcache_7324,axiom,(+ s__subclass(s__NegativeInteger,s__Quantity) )).++fof(kb_SUMOcache_7325,axiom,(+ s__subclass(s__NegativeInteger,s__Number) )).++fof(kb_SUMOcache_7326,axiom,(+ s__instance(s__NegativeInteger__t,s__SetOrClass) )).++fof(kb_SUMOcache_7327,axiom,(+ s__subclass(s__NegativeInteger,s__RealNumber) )).++fof(kb_SUMOcache_7328,axiom,(+ s__subclass(s__NegativeInteger,s__Abstract) )).++fof(kb_SUMOcache_7329,axiom,(+ s__subclass(s__NegativeInteger,s__Entity) )).++fof(kb_SUMOcache_7330,axiom,(+ s__subclass(s__NegativeInteger,s__RationalNumber) )).++fof(kb_SUMOcache_7331,axiom,(+ s__subclass(s__BodyPart,s__Physical) )).++fof(kb_SUMOcache_7332,axiom,(+ s__subclass(s__BodyPart,s__OrganicObject) )).++fof(kb_SUMOcache_7333,axiom,(+ s__subclass(s__BodyPart,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7334,axiom,(+ s__subclass(s__BodyPart,s__OrganicThing) )).++fof(kb_SUMOcache_7335,axiom,(+ s__instance(s__BodyPart__t,s__SetOrClass) )).++fof(kb_SUMOcache_7336,axiom,(+ s__subclass(s__BodyPart,s__Object) )).++fof(kb_SUMOcache_7337,axiom,(+ s__subclass(s__BodyPart,s__CorpuscularObject) )).++fof(kb_SUMOcache_7338,axiom,(+ s__subclass(s__BodyPart,s__Entity) )).++fof(kb_SUMOcache_7339,axiom,(+ s__subclass(s__Heating,s__Physical) )).++fof(kb_SUMOcache_7340,axiom,(+ s__instance(s__Heating__t,s__SetOrClass) )).++fof(kb_SUMOcache_7341,axiom,(+ s__subclass(s__Heating,s__QuantityChange) )).++fof(kb_SUMOcache_7342,axiom,(+ s__subclass(s__Heating,s__Process) )).++fof(kb_SUMOcache_7343,axiom,(+ s__subclass(s__Heating,s__InternalChange) )).++fof(kb_SUMOcache_7344,axiom,(+ s__subclass(s__Heating,s__Entity) )).++fof(kb_SUMOcache_7345,axiom,(+ s__subclass(s__Reasoning,s__Physical) )).++fof(kb_SUMOcache_7346,axiom,(+ s__instance(s__Reasoning__t,s__SetOrClass) )).++fof(kb_SUMOcache_7347,axiom,(+ s__subclass(s__Reasoning,s__Process) )).++fof(kb_SUMOcache_7348,axiom,(+ s__subclass(s__Reasoning,s__PsychologicalProcess) )).++fof(kb_SUMOcache_7349,axiom,(+ s__subclass(s__Reasoning,s__IntentionalProcess) )).++fof(kb_SUMOcache_7350,axiom,(+ s__subclass(s__Reasoning,s__InternalChange) )).++fof(kb_SUMOcache_7351,axiom,(+ s__subclass(s__Reasoning,s__BiologicalProcess) )).++fof(kb_SUMOcache_7352,axiom,(+ s__subclass(s__Reasoning,s__Entity) )).++fof(kb_SUMOcache_7353,axiom,(+ s__subclass(s__TextureAttribute,s__Attribute) )).++fof(kb_SUMOcache_7354,axiom,(+ s__instance(s__TextureAttribute__t,s__SetOrClass) )).++fof(kb_SUMOcache_7355,axiom,(+ s__subclass(s__TextureAttribute,s__Entity) )).++fof(kb_SUMOcache_7356,axiom,(+ s__subclass(s__TextureAttribute,s__Abstract) )).++fof(kb_SUMOcache_7357,axiom,(+ s__subclass(s__ContentBearingObject,s__Physical) )).++fof(kb_SUMOcache_7358,axiom,(+ s__subclass(s__ContentBearingObject,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7359,axiom,(+ s__subclass(s__ContentBearingObject,s__Object) )).++fof(kb_SUMOcache_7360,axiom,(+ s__subclass(s__ContentBearingObject,s__Entity) )).++fof(kb_SUMOcache_7361,axiom,(+ s__subclass(s__UnitOfTemperature,s__Quantity) )).++fof(kb_SUMOcache_7362,axiom,(+ s__subclass(s__UnitOfTemperature,s__UnitOfMeasure) )).++fof(kb_SUMOcache_7363,axiom,(+ s__subclass(s__UnitOfTemperature,s__Entity) )).++fof(kb_SUMOcache_7364,axiom,(+ s__subclass(s__UnitOfTemperature,s__Abstract) )).++fof(kb_SUMOcache_7365,axiom,(+ s__instance(s__UnitOfTemperature__t,s__SetOrClass) )).++fof(kb_SUMOcache_7366,axiom,(+ s__subclass(s__UnitOfTemperature,s__PhysicalQuantity) )).++fof(kb_SUMOcache_7367,axiom,(+ s__subclass(s__Managing,s__Physical) )).++fof(kb_SUMOcache_7368,axiom,(+ s__subclass(s__Managing,s__Process) )).++fof(kb_SUMOcache_7369,axiom,(+ s__subclass(s__Managing,s__IntentionalProcess) )).++fof(kb_SUMOcache_7370,axiom,(+ s__subclass(s__Managing,s__Entity) )).++fof(kb_SUMOcache_7371,axiom,(+ s__instance(s__Managing__t,s__SetOrClass) )).++fof(kb_SUMOcache_7372,axiom,(+ s__subclass(s__MeasuringDevice,s__Physical) )).++fof(kb_SUMOcache_7373,axiom,(+ s__subclass(s__MeasuringDevice,s__Artifact) )).++fof(kb_SUMOcache_7374,axiom,(+ s__instance(s__MeasuringDevice__t,s__SetOrClass) )).++fof(kb_SUMOcache_7375,axiom,(+ s__subclass(s__MeasuringDevice,s__Object) )).++fof(kb_SUMOcache_7376,axiom,(+ s__subclass(s__MeasuringDevice,s__Entity) )).++fof(kb_SUMOcache_7377,axiom,(+ s__subclass(s__Ape,s__OrganicObject) )).++fof(kb_SUMOcache_7378,axiom,(+ s__subclass(s__Ape,s__WarmBloodedVertebrate) )).++fof(kb_SUMOcache_7379,axiom,(+ s__subclass(s__Ape,s__SelfConnectedObject) )).++fof(kb_SUMOcache_7380,axiom,(+ s__subclass(s__Ape,s__Agent) )).++fof(kb_SUMOcache_7381,axiom,(+ s__subclass(s__Ape,s__Animal) )).++fof(kb_SUMOcache_7382,axiom,(+ s__subclass(s__Ape,s__Physical) )).++fof(kb_SUMOcache_7383,axiom,(+ s__subclass(s__Ape,s__Vertebrate) )).++fof(kb_SUMOcache_7384,axiom,(+ s__subclass(s__Ape,s__Mammal) )).++fof(kb_SUMOcache_7385,axiom,(+ s__subclass(s__Ape,s__OrganicThing) )).++fof(kb_SUMOcache_7386,axiom,(+ s__instance(s__Ape__t,s__SetOrClass) )).++fof(kb_SUMOcache_7387,axiom,(+ s__subclass(s__Ape,s__Organism) )).++fof(kb_SUMOcache_7388,axiom,(+ s__subclass(s__Ape,s__CorpuscularObject) )).++fof(kb_SUMOcache_7389,axiom,(+ s__subclass(s__Ape,s__Object) )).++fof(kb_SUMOcache_7390,axiom,(+ s__subclass(s__Ape,s__Entity) )).++fof(kb_SUMOcache_7391,axiom,(+ s__subclass(s__Hearing,s__Physical) )).++fof(kb_SUMOcache_7392,axiom,(+ s__subclass(s__Hearing,s__Process) )).++fof(kb_SUMOcache_7393,axiom,(+ s__instance(s__Hearing__t,s__SetOrClass) )).++fof(kb_SUMOcache_7394,axiom,(+ s__subclass(s__Hearing,s__PsychologicalProcess) )).++fof(kb_SUMOcache_7395,axiom,(+ s__subclass(s__Hearing,s__InternalChange) )).++fof(kb_SUMOcache_7396,axiom,(+ s__subclass(s__Hearing,s__BiologicalProcess) )).++fof(kb_SUMOcache_7397,axiom,(+ s__subclass(s__Hearing,s__Entity) )).++fof(kb_SUMOcache_7398,axiom,(+ s__subclass(s__FinancialTransaction,s__Physical) )).++fof(kb_SUMOcache_7399,axiom,(+ s__subclass(s__FinancialTransaction,s__DualObjectProcess) )).++fof(kb_SUMOcache_7400,axiom,(+ s__instance(s__FinancialTransaction__t,s__SetOrClass) )).++fof(kb_SUMOcache_7401,axiom,(+ s__subclass(s__FinancialTransaction,s__SocialInteraction) )).++fof(kb_SUMOcache_7402,axiom,(+ s__subclass(s__FinancialTransaction,s__Process) )).++fof(kb_SUMOcache_7403,axiom,(+ s__subclass(s__FinancialTransaction,s__ChangeOfPossession) )).++fof(kb_SUMOcache_7404,axiom,(+ s__subclass(s__FinancialTransaction,s__IntentionalProcess) )).++fof(kb_SUMOcache_7405,axiom,(+ s__subclass(s__FinancialTransaction,s__Entity) )).++fof(kb_SUMOcache_7406,axiom,(+ s__subrelation(s__surface__m,s__part__m) )).++fof(kb_SUMOcache_7407,axiom,(+ s__subrelation(s__engineeringSubcomponent__m,s__part__m) )).++fof(kb_SUMOcache_7408,axiom,(+ s__subrelation(s__partiallyFills__m,s__partlyLocated__m) )).++fof(kb_SUMOcache_7409,axiom,(+ s__subrelation(s__spouse__m,s__acquaintance__m) )).++fof(kb_SUMOcache_7410,axiom,(+ s__subrelation(s__parent__m,s__relative__m) )).++fof(kb_SUMOcache_7411,axiom,(+ s__subrelation(s__son__m,s__familyRelation__m) )).++fof(kb_SUMOcache_7412,axiom,(+ s__subrelation(s__son__m,s__ancestor__m) )).++fof(kb_SUMOcache_7413,axiom,(+ s__subrelation(s__son__m,s__relative__m) )).++fof(kb_SUMOcache_7414,axiom,(+ s__subrelation(s__containsInformation__m,s__refers__m) )).++fof(kb_SUMOcache_7415,axiom,(+ s__subrelation(s__bottom__m,s__part__m) )).++fof(kb_SUMOcache_7416,axiom,(+ s__subrelation(s__geographicSubregion__m,s__partlyLocated__m) )).++fof(kb_SUMOcache_7417,axiom,(+ s__subrelation(s__geographicSubregion__m,s__part__m) )).++fof(kb_SUMOcache_7418,axiom,(+ s__subrelation(s__uniqueIdentifier__m,s__refers__m) )).++fof(kb_SUMOcache_7419,axiom,(+ s__subrelation(s__daughter__m,s__familyRelation__m) )).++fof(kb_SUMOcache_7420,axiom,(+ s__subrelation(s__daughter__m,s__ancestor__m) )).++fof(kb_SUMOcache_7421,axiom,(+ s__subrelation(s__daughter__m,s__relative__m) )).++fof(kb_SUMOcache_7422,axiom,(+ s__subrelation(s__completelyFills__m,s__located__m) )).++fof(kb_SUMOcache_7423,axiom,(+ s__subrelation(s__completelyFills__m,s__partlyLocated__m) )).++fof(kb_SUMOcache_7424,axiom,(+ s__subrelation(s__side__m,s__part__m) )).++fof(kb_SUMOcache_7425,axiom,(+ s__subrelation(s__fills__m,s__partiallyFills__m) )).++fof(kb_SUMOcache_7426,axiom,(+ s__subrelation(s__fills__m,s__located__m) )).++fof(kb_SUMOcache_7427,axiom,(+ s__subrelation(s__fills__m,s__partlyLocated__m) )).++fof(kb_SUMOcache_7428,axiom,(+ s__subrelation(s__length__m,s__measure__m) )).++fof(kb_SUMOcache_7429,axiom,(+ s__subrelation(s__geopoliticalSubdivision__m,s__properPart__m) )).++fof(kb_SUMOcache_7430,axiom,(+ s__subrelation(s__geopoliticalSubdivision__m,s__located__m) )).++fof(kb_SUMOcache_7431,axiom,(+ s__subrelation(s__geopoliticalSubdivision__m,s__partlyLocated__m) )).++fof(kb_SUMOcache_7432,axiom,(+ s__subrelation(s__geopoliticalSubdivision__m,s__part__m) )).++fof(kb_SUMOcache_7433,axiom,(+ s__subrelation(s__attends__m,s__involvedInEvent__m) )).++fof(kb_SUMOcache_7434,axiom,(+ s__subrelation(s__brother__m,s__familyRelation__m) )).++fof(kb_SUMOcache_7435,axiom,(+ s__subrelation(s__brother__m,s__relative__m) )).++fof(kb_SUMOcache_7436,axiom,(+ s__subrelation(s__penetrates__m,s__connected__m) )).++fof(kb_SUMOcache_7437,axiom,(+ s__subrelation(s__developmentalForm__m,s__property__m) )).++fof(kb_SUMOcache_7438,axiom,(+ s__subrelation(s__subOrganization__m,s__part__m) )).++fof(kb_SUMOcache_7439,axiom,(+ s__subrelation(s__height__m,s__measure__m) )).++fof(kb_SUMOcache_7440,axiom,(+ s__subrelation(s__changesLocation__m,s__involvedInEvent__m) )).++fof(kb_SUMOcache_7441,axiom,(+ s__subrelation(s__abstractCounterpart__m,s__refers__m) )).++fof(kb_SUMOcache_7442,axiom,(+ s__subrelation(s__width__m,s__measure__m) )).++fof(kb_SUMOcache_7443,axiom,(+ s__subrelation(s__properlyFills__m,s__located__m) )).++fof(kb_SUMOcache_7444,axiom,(+ s__subrelation(s__properlyFills__m,s__partlyLocated__m) )).++fof(kb_SUMOcache_7445,axiom,(+ s__subrelation(s__mother__m,s__familyRelation__m) )).++fof(kb_SUMOcache_7446,axiom,(+ s__subrelation(s__mother__m,s__ancestor__m) )).++fof(kb_SUMOcache_7447,axiom,(+ s__subrelation(s__mother__m,s__relative__m) )).++fof(kb_SUMOcache_7448,axiom,(+ s__subrelation(s__result__m,s__involvedInEvent__m) )).++fof(kb_SUMOcache_7449,axiom,(+ s__subrelation(s__husband__m,s__legalRelation__m) )).++fof(kb_SUMOcache_7450,axiom,(+ s__subrelation(s__husband__m,s__acquaintance__m) )).++fof(kb_SUMOcache_7451,axiom,(+ s__subrelation(s__husband__m,s__mutualAcquaintance__m) )).++fof(kb_SUMOcache_7452,axiom,(+ s__subrelation(s__husband__m,s__relative__m) )).++fof(kb_SUMOcache_7453,axiom,(+ s__subrelation(s__father__m,s__familyRelation__m) )).++fof(kb_SUMOcache_7454,axiom,(+ s__subrelation(s__father__m,s__ancestor__m) )).++fof(kb_SUMOcache_7455,axiom,(+ s__subrelation(s__father__m,s__relative__m) )).++fof(kb_SUMOcache_7456,axiom,(+ s__subrelation(s__sister__m,s__familyRelation__m) )).++fof(kb_SUMOcache_7457,axiom,(+ s__subrelation(s__sister__m,s__relative__m) )).++fof(kb_SUMOcache_7458,axiom,(+ s__subrelation(s__eventLocated__m,s__partlyLocated__m) )).++fof(kb_SUMOcache_7459,axiom,(+ s__subrelation(s__path__m,s__partlyLocated__m) )).++fof(kb_SUMOcache_7460,axiom,(+ s__subrelation(s__ancestor__m,s__relative__m) )).++fof(kb_SUMOcache_7461,axiom,(+ s__subrelation(s__grasps__m,s__connected__m) )).++fof(kb_SUMOcache_7462,axiom,(+ s__subrelation(s__top__m,s__part__m) )).++fof(kb_SUMOcache_7463,axiom,(+ s__subrelation(s__overlapsPartially__m,s__connected__m) )).++fof(kb_SUMOcache_7464,axiom,(+ s__subrelation(s__exactlyLocated__m,s__partlyLocated__m) )).++fof(kb_SUMOcache_7465,axiom,(+ s__subrelation(s__diameter__m,s__measure__m) )).++fof(kb_SUMOcache_7466,axiom,(+ s__subrelation(s__diameter__m,s__linearExtent__m) )).++fof(kb_SUMOcache_7467,axiom,(+ s__subrelation(s__resource__m,s__involvedInEvent__m) )).++fof(kb_SUMOcache_7468,axiom,(+ s__subrelation(s__instrument__m,s__involvedInEvent__m) )).++fof(kb_SUMOcache_7469,axiom,(+ s__subrelation(s__sibling__m,s__relative__m) )).++fof(kb_SUMOcache_7470,axiom,(+ s__subrelation(s__wife__m,s__legalRelation__m) )).++fof(kb_SUMOcache_7471,axiom,(+ s__subrelation(s__wife__m,s__acquaintance__m) )).++fof(kb_SUMOcache_7472,axiom,(+ s__subrelation(s__wife__m,s__mutualAcquaintance__m) )).++fof(kb_SUMOcache_7473,axiom,(+ s__subrelation(s__wife__m,s__relative__m) )).++fof(kb_SUMOcache_7474,axiom,(+ s__subrelation(s__realization__m,s__refers__m) )).++fof(kb_SUMOcache_7475,axiom,(+ s__inverse(less__m,greater__m) )).++fof(kb_SUMOcache_7476,axiom,(+ s__inverse(s__wife__m,s__husband__m) )).++fof(kb_SUMOcache_7477,axiom,(+ s__inverse(s__larger__m,s__smaller__m) )).++fof(kb_SUMOcache_7478,axiom,(+ s__inverse(lesseq__m,greatereq__m) )).++fof(kb_SUMOcache_7479,axiom,(+ s__relatedInternalConcept(s__possesses__m,s__ChangeOfPossession) )).++fof(kb_SUMOcache_7480,axiom,(+ s__relatedInternalConcept(s__CutSetFn__m,s__MinimalCutSetFn__m) )).++fof(kb_SUMOcache_7481,axiom,(+ s__relatedInternalConcept(s__MinuteDuration,s__MinuteFn__m) )).++fof(kb_SUMOcache_7482,axiom,(+ s__relatedInternalConcept(s__MinuteDuration,s__Minute) )).++fof(kb_SUMOcache_7483,axiom,(+ s__relatedInternalConcept(s__DayDuration,s__DayFn__m) )).++fof(kb_SUMOcache_7484,axiom,(+ s__relatedInternalConcept(s__DayDuration,s__Day) )).++fof(kb_SUMOcache_7485,axiom,(+ s__relatedInternalConcept(s__SecondDuration,s__Second) )).++fof(kb_SUMOcache_7486,axiom,(+ s__relatedInternalConcept(s__SecondDuration,s__SecondFn__m) )).++fof(kb_SUMOcache_7487,axiom,(+ s__relatedInternalConcept(s__causesSubclass__m,s__causes__m) )).++fof(kb_SUMOcache_7488,axiom,(+ s__relatedInternalConcept(s__Destruction,s__Creation) )).++fof(kb_SUMOcache_7489,axiom,(+ s__relatedInternalConcept(s__partition__m,s__disjoint__m) )).++fof(kb_SUMOcache_7490,axiom,(+ s__relatedInternalConcept(s__partition__m,s__disjointDecomposition__m) )).++fof(kb_SUMOcache_7491,axiom,(+ s__relatedInternalConcept(s__partition__m,s__exhaustiveDecomposition__m) )).++fof(kb_SUMOcache_7492,axiom,(+ s__relatedInternalConcept(s__partition__m,s__disjointRelation__m) )).++fof(kb_SUMOcache_7493,axiom,(+ s__relatedInternalConcept(s__located__m,s__holdsDuring__m) )).++fof(kb_SUMOcache_7494,axiom,(+ s__relatedInternalConcept(s__located__m,s__time__m) )).++fof(kb_SUMOcache_7495,axiom,(+ s__relatedInternalConcept(s__DayFn__m,s__DayDuration) )).++fof(kb_SUMOcache_7496,axiom,(+ s__relatedInternalConcept(s__DayFn__m,s__Day) )).++fof(kb_SUMOcache_7497,axiom,(+ s__relatedInternalConcept(s__confersRight__m,s__confersObligation__m) )).++fof(kb_SUMOcache_7498,axiom,(+ s__relatedInternalConcept(s__instance__m,s__member__m) )).++fof(kb_SUMOcache_7499,axiom,(+ s__relatedInternalConcept(s__instance__m,s__element__m) )).++fof(kb_SUMOcache_7500,axiom,(+ s__relatedInternalConcept(s__disjointRelation__m,s__partition__m) )).++fof(kb_SUMOcache_7501,axiom,(+ s__relatedInternalConcept(s__disjointRelation__m,s__exhaustiveDecomposition__m) )).++fof(kb_SUMOcache_7502,axiom,(+ s__relatedInternalConcept(s__disjointRelation__m,s__disjointDecomposition__m) )).++fof(kb_SUMOcache_7503,axiom,(+ s__relatedInternalConcept(s__element__m,s__member__m) )).++fof(kb_SUMOcache_7504,axiom,(+ s__relatedInternalConcept(s__element__m,s__instance__m) )).++fof(kb_SUMOcache_7505,axiom,(+ s__relatedInternalConcept(s__disjoint__m,s__partition__m) )).++fof(kb_SUMOcache_7506,axiom,(+ s__relatedInternalConcept(s__disjoint__m,s__exhaustiveDecomposition__m) )).++fof(kb_SUMOcache_7507,axiom,(+ s__relatedInternalConcept(s__disjoint__m,s__disjointDecomposition__m) )).++fof(kb_SUMOcache_7508,axiom,(+ s__relatedInternalConcept(s__disjoint__m,s__disjointRelation__m) )).++fof(kb_SUMOcache_7509,axiom,(+ s__relatedInternalConcept(s__Putting,s__Attaching) )).++fof(kb_SUMOcache_7510,axiom,(+ s__relatedInternalConcept(s__Putting,s__Increasing) )).++fof(kb_SUMOcache_7511,axiom,(+ s__relatedInternalConcept(s__HourDuration,s__Hour) )).++fof(kb_SUMOcache_7512,axiom,(+ s__relatedInternalConcept(s__HourDuration,s__HourFn__m) )).++fof(kb_SUMOcache_7513,axiom,(+ s__relatedInternalConcept(s__RecurrentTimeIntervalFn__m,s__IntervalFn__m) )).++fof(kb_SUMOcache_7514,axiom,(+ s__relatedInternalConcept(s__Selling,s__Buying) )).++fof(kb_SUMOcache_7515,axiom,(+ s__relatedInternalConcept(s__MereologicalDifferenceFn__m,s__MereologicalProductFn__m) )).++fof(kb_SUMOcache_7516,axiom,(+ s__relatedInternalConcept(s__MereologicalDifferenceFn__m,s__MereologicalSumFn__m) )).++fof(kb_SUMOcache_7517,axiom,(+ s__relatedInternalConcept(s__TransportationDevice,s__Transportation) )).++fof(kb_SUMOcache_7518,axiom,(+ s__relatedInternalConcept(s__earlier__m,s__before__m) )).++fof(kb_SUMOcache_7519,axiom,(+ s__relatedInternalConcept(s__Maintaining,s__Repairing) )).++fof(kb_SUMOcache_7520,axiom,(+ s__relatedInternalConcept(s__UnitedKingdomGallon,s__UnitedStatesGallon) )).++fof(kb_SUMOcache_7521,axiom,(+ s__relatedInternalConcept(s__containsInformation__m,s__equivalentContentClass__m) )).++fof(kb_SUMOcache_7522,axiom,(+ s__relatedInternalConcept(s__containsInformation__m,s__equivalentContentInstance__m) )).++fof(kb_SUMOcache_7523,axiom,(+ s__relatedInternalConcept(s__containsInformation__m,s__ContentBearingObject) )).++fof(kb_SUMOcache_7524,axiom,(+ s__relatedInternalConcept(s__containsInformation__m,s__realization__m) )).++fof(kb_SUMOcache_7525,axiom,(+ s__relatedInternalConcept(s__exhaustiveDecomposition__m,s__disjoint__m) )).++fof(kb_SUMOcache_7526,axiom,(+ s__relatedInternalConcept(s__exhaustiveDecomposition__m,s__disjointDecomposition__m) )).++fof(kb_SUMOcache_7527,axiom,(+ s__relatedInternalConcept(s__exhaustiveDecomposition__m,s__disjointRelation__m) )).++fof(kb_SUMOcache_7528,axiom,(+ s__relatedInternalConcept(s__relatedInternalConcept__m,s__relatedExternalConcept__m) )).++fof(kb_SUMOcache_7529,axiom,(+ s__relatedInternalConcept(s__holdsRight__m,s__holdsObligation__m) )).++fof(kb_SUMOcache_7530,axiom,(+ s__relatedInternalConcept(s__holdsDuring__m,s__time__m) )).++fof(kb_SUMOcache_7531,axiom,(+ s__relatedInternalConcept(s__holdsDuring__m,s__located__m) )).++fof(kb_SUMOcache_7532,axiom,(+ s__relatedInternalConcept(s__ContentDevelopment,s__Communication) )).++fof(kb_SUMOcache_7533,axiom,(+ s__relatedInternalConcept(s__Increasing,s__Attaching) )).++fof(kb_SUMOcache_7534,axiom,(+ s__relatedInternalConcept(s__YearDuration,s__Year) )).++fof(kb_SUMOcache_7535,axiom,(+ s__relatedInternalConcept(s__YearDuration,s__YearFn__m) )).++fof(kb_SUMOcache_7536,axiom,(+ s__relatedInternalConcept(s__Interpreting,s__Reading) )).++fof(kb_SUMOcache_7537,axiom,(+ s__relatedInternalConcept(s__successorAttribute__m,s__successorAttributeClosure__m) )).++fof(kb_SUMOcache_7538,axiom,(+ s__relatedInternalConcept(s__Fillable,s__fills__m) )).++fof(kb_SUMOcache_7539,axiom,(+ s__relatedInternalConcept(s__InitialNodeFn__m,s__BeginNodeFn__m) )).++fof(kb_SUMOcache_7540,axiom,(+ s__relatedInternalConcept(s__subsumesContentClass__m,s__subsumesContentInstance__m) )).++fof(kb_SUMOcache_7541,axiom,(+ s__relatedInternalConcept(s__MonthFn__m,s__Month) )).++fof(kb_SUMOcache_7542,axiom,(+ s__relatedInternalConcept(s__YearFn__m,s__Year) )).++fof(kb_SUMOcache_7543,axiom,(+ s__relatedInternalConcept(s__YearFn__m,s__YearDuration) )).++fof(kb_SUMOcache_7544,axiom,(+ s__relatedInternalConcept(s__equivalentContentInstance__m,s__ContentBearingObject) )).++fof(kb_SUMOcache_7545,axiom,(+ s__relatedInternalConcept(s__equivalentContentInstance__m,s__containsInformation__m) )).++fof(kb_SUMOcache_7546,axiom,(+ s__relatedInternalConcept(s__equivalentContentInstance__m,s__realization__m) )).++fof(kb_SUMOcache_7547,axiom,(+ s__relatedInternalConcept(s__HourFn__m,s__Hour) )).++fof(kb_SUMOcache_7548,axiom,(+ s__relatedInternalConcept(s__HourFn__m,s__HourDuration) )).++fof(kb_SUMOcache_7549,axiom,(+ s__relatedInternalConcept(s__MinuteFn__m,s__Minute) )).++fof(kb_SUMOcache_7550,axiom,(+ s__relatedInternalConcept(s__MinuteFn__m,s__MinuteDuration) )).++fof(kb_SUMOcache_7551,axiom,(+ s__relatedInternalConcept(s__disjointDecomposition__m,s__partition__m) )).++fof(kb_SUMOcache_7552,axiom,(+ s__relatedInternalConcept(s__disjointDecomposition__m,s__disjointRelation__m) )).++fof(kb_SUMOcache_7553,axiom,(+ s__relatedInternalConcept(s__Removing,s__Decreasing) )).++fof(kb_SUMOcache_7554,axiom,(+ s__relatedInternalConcept(s__inhibits__m,s__prevents__m) )).++fof(kb_SUMOcache_7555,axiom,(+ s__relatedInternalConcept(s__equivalentContentClass__m,s__equivalentContentInstance__m) )).++fof(kb_SUMOcache_7556,axiom,(+ s__relatedInternalConcept(s__equivalentContentClass__m,s__ContentBearingObject) )).++fof(kb_SUMOcache_7557,axiom,(+ s__relatedInternalConcept(s__equivalentContentClass__m,s__containsInformation__m) )).++fof(kb_SUMOcache_7558,axiom,(+ s__relatedInternalConcept(s__equivalentContentClass__m,s__realization__m) )).++fof(kb_SUMOcache_7559,axiom,(+ s__relatedInternalConcept(s__ContentBearingObject,s__equivalentContentClass__m) )).++fof(kb_SUMOcache_7560,axiom,(+ s__relatedInternalConcept(s__ContentBearingObject,s__equivalentContentInstance__m) )).++fof(kb_SUMOcache_7561,axiom,(+ s__relatedInternalConcept(s__ContentBearingObject,s__realization__m) )).++fof(kb_SUMOcache_7562,axiom,(+ s__relatedInternalConcept(s__Attaching,s__Increasing) )).++fof(kb_SUMOcache_7563,axiom,(+ s__relatedInternalConcept(s__TerminalNodeFn__m,s__EndNodeFn__m) )).++fof(kb_SUMOcache_7564,axiom,(+ s__relatedInternalConcept(s__UnilateralGiving,s__UnilateralGetting) )).++fof(kb_SUMOcache_7565,axiom,(+ s__relatedInternalConcept(s__realization__m,s__equivalentContentClass__m) )).++fof(kb_SUMOcache_7566,axiom,(+ s__relatedInternalConcept(s__realization__m,s__ContentBearingObject) )).++fof(kb_SUMOcache_7567,axiom,(+ s__relatedInternalConcept(s__SecondFn__m,s__Second) )).++fof(kb_SUMOcache_7568,axiom,(+ s__relatedInternalConcept(s__SecondFn__m,s__SecondDuration) )).++fof(kb_SUMOcache_7569,axiom,(+ s__relatedInternalConcept(s__MereologicalProductFn__m,s__MereologicalSumFn__m) )).++fof(kb_SUMOcache_7570,axiom,(+ s__relatedInternalConcept(s__WhenFn__m,s__WhereFn__m) )).+++%------------------------------------------------------------------------------
+ test-data/tptp/fof/CSR004+0.ax view
@@ -0,0 +1,31277 @@+%------------------------------------------------------------------------------+% File : CSR004+0 : TPTP v7.2.0. Released v4.0.0.+% Domain : Commonsense Reasoning+% Axioms : LogAnswer+% Version : Especial.+% English :++% Refs : [Glo07] Gloeckner (2007), University of Hagen at CLEF 2007: An+% : [PW07] Pelzer & Wernhard (2007), System Description: E-KRHype+% : [FG+08] Furbach et al. (2008), LogAnswer - A Deduction-Based Q+% : [Pel09] Pelzer (2009), Email to Geoff Sutcliffe+% Source : [Pel09]+% Names : ++% Status : Satisfiable+% Syntax : Number of formulae : 10187 (10061 unit)+% Number of atoms : 10698 ( 0 equality)+% Maximal formula depth : 16 ( 1 average)+% Number of connectives : 511 ( 0 ~; 18 |; 367 &)+% ( 0 <=>; 126 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 86 ( 0 propositional; 2-3 arity)+% Number of functors : 16635 (16634 constant; 0-2 arity)+% Number of variables : 468 ( 0 sgn; 405 !; 63 ?)+% Maximal term depth : 5 ( 1 average)+% SPC : ++% Comments : Copyright (C) 2009 Intelligent Information and Communication +% Systems Group (IICS) at the FernUniversitaet in Hagen.+%------------------------------------------------------------------------------+fof(member_first,axiom,(+ ! [X0,X1] : member(X0,cons(X0,X1)) )).++fof(member_second,axiom,(+ ! [X0,X1,X2] :+ ( member(X0,X2)+ => member(X0,cons(X1,X2)) ) )).++fof(has_gener_eq,axiom,(+ ! [X0,X1] :+ ( gener(X0,X1)+ => has_gener_leq(X0,X1) ) )).++fof(has_gener_less,axiom,(+ ! [X0,X1,X2] :+ ( ( gener(X0,X1)+ & gener_less(X1,X2) )+ => has_gener_leq(X0,X2) ) )).++fof(def_gener_less_ge,axiom,(+ gener_less(ge,gener_c) )).++fof(def_gener_less_sp,axiom,(+ gener_less(sp,gener_c) )).++fof(has_varia_eq,axiom,(+ ! [X0,X1] :+ ( varia(X0,X1)+ => has_varia_leq(X0,X1) ) )).++fof(has_varia_less,axiom,(+ ! [X0,X1,X2] :+ ( ( varia(X0,X1)+ & varia_less(X1,X2) )+ => has_varia_leq(X0,X2) ) )).++fof(def_varia_less_var,axiom,(+ varia_less(var,varia_c) )).++fof(def_varia_less_con,axiom,(+ varia_less(con,varia_c) )).++fof(has_fact_eq,axiom,(+ ! [X0,X1] :+ ( fact(X0,X1)+ => has_fact_leq(X0,X1) ) )).++fof(has_fact_less,axiom,(+ ! [X0,X1,X2] :+ ( ( fact(X0,X1)+ & fact_less(X1,X2) )+ => has_fact_leq(X0,X2) ) )).++fof(def_fact_less_real,axiom,(+ fact_less(real,fact_c) )).++fof(def_fact_less_nonreal,axiom,(+ fact_less(nonreal,fact_c) )).++fof(def_fact_less_hypo,axiom,(+ fact_less(hypo,fact_c) )).++fof(has_refer_eq,axiom,(+ ! [X0,X1] :+ ( refer(X0,X1)+ => has_refer_leq(X0,X1) ) )).++fof(has_refer_less,axiom,(+ ! [X0,X1,X2] :+ ( ( refer(X0,X1)+ & refer_less(X1,X2) )+ => has_refer_leq(X0,X2) ) )).++fof(def_refer_less_det,axiom,(+ refer_less(det,refer_c) )).++fof(def_refer_less_indet,axiom,(+ refer_less(indet,refer_c) )).++fof(has_card_eq,axiom,(+ ! [X0,X1] :+ ( card(X0,X1)+ => has_card_leq(X0,X1) ) )).++fof(has_card_less,axiom,(+ ! [X0,X1] :+ ( card(X0,X1)+ => has_card_leq(X0,card_c) ) )).++fof(has_quant_eq,axiom,(+ ! [X0,X1] :+ ( quant(X0,X1)+ => has_quant_leq(X0,X1) ) )).++fof(has_quant_less,axiom,(+ ! [X0,X1] :+ ( quant(X0,X1)+ => has_quant_leq(X0,quant_c) ) )).++fof(has_etype_eq,axiom,(+ ! [X0,X1] :+ ( etype(X0,X1)+ => has_etype_leq(X0,X1) ) )).++fof(has_etype_less,axiom,(+ ! [X0,X1] :+ ( etype(X0,X1)+ => has_etype_leq(X0,etype_c) ) )).++fof(sort_leq_from_sort_and_subsort,axiom,(+ ! [X0,X1,X2] :+ ( ( sort(X0,X1)+ & subsort(X1,X2) )+ => sort_leq(X0,X2) ) )).++fof(subsort_reflexive,axiom,(+ ! [X0] : subsort(X0,X0) )).++fof(subsort_transitive,axiom,(+ ! [X0,X1,X2] :+ ( ( direct_subsort(X0,X1)+ & subsort(X1,X2) )+ => subsort(X0,X2) ) )).++fof(direct_subsort_o_ent,axiom,(+ direct_subsort(o,ent) )).++fof(direct_subsort_co_o,axiom,(+ direct_subsort(co,o) )).++fof(direct_subsort_s_co,axiom,(+ direct_subsort(s,co) )).++fof(direct_subsort_d_co,axiom,(+ direct_subsort(d,co) )).++fof(direct_subsort_ab_o,axiom,(+ direct_subsort(ab,o) )).++fof(direct_subsort_at_ab,axiom,(+ direct_subsort(at,ab) )).++fof(direct_subsort_oa_at,axiom,(+ direct_subsort(oa,at) )).++fof(direct_subsort_na_at,axiom,(+ direct_subsort(na,at) )).++fof(direct_subsort_re_ab,axiom,(+ direct_subsort(re,ab) )).++fof(direct_subsort_io_ab,axiom,(+ direct_subsort(io,ab) )).++fof(direct_subsort_ta_ab,axiom,(+ direct_subsort(ta,ab) )).++fof(direct_subsort_mo_ab,axiom,(+ direct_subsort(mo,ab) )).++fof(direct_subsort_abs_ab,axiom,(+ direct_subsort(abs,ab) )).++fof(direct_subsort_ad_abs,axiom,(+ direct_subsort(ad,abs) )).++fof(direct_subsort_as_abs,axiom,(+ direct_subsort(as,abs) )).++fof(direct_subsort_si_ent,axiom,(+ direct_subsort(si,ent) )).++fof(direct_subsort_st_si,axiom,(+ direct_subsort(st,si) )).++fof(direct_subsort_dy_si,axiom,(+ direct_subsort(dy,si) )).++fof(direct_subsort_da_dy,axiom,(+ direct_subsort(da,dy) )).++fof(direct_subsort_dn_dy,axiom,(+ direct_subsort(dn,dy) )).++fof(direct_subsort_sd_ent,axiom,(+ direct_subsort(sd,ent) )).++fof(direct_subsort_t_sd,axiom,(+ direct_subsort(t,sd) )).++fof(direct_subsort_md_sd,axiom,(+ direct_subsort(md,sd) )).++fof(direct_subsort_l_sd,axiom,(+ direct_subsort(l,sd) )).++fof(direct_subsort_ql_ent,axiom,(+ direct_subsort(ql,ent) )).++fof(direct_subsort_p_ql,axiom,(+ direct_subsort(p,ql) )).++fof(direct_subsort_gq_p,axiom,(+ direct_subsort(gq,p) )).++fof(direct_subsort_mq_gq,axiom,(+ direct_subsort(mq,gq) )).++fof(direct_subsort_nq_gq,axiom,(+ direct_subsort(nq,gq) )).++fof(direct_subsort_tq_p,axiom,(+ direct_subsort(tq,p) )).++fof(direct_subsort_rq_ql,axiom,(+ direct_subsort(rq,ql) )).++fof(direct_subsort_fq_ql,axiom,(+ direct_subsort(fq,ql) )).++fof(direct_subsort_aq_fq,axiom,(+ direct_subsort(aq,fq) )).++fof(direct_subsort_oq_fq,axiom,(+ direct_subsort(oq,fq) )).++fof(direct_subsort_gr_ent,axiom,(+ direct_subsort(gr,ent) )).++fof(direct_subsort_lg_gr,axiom,(+ direct_subsort(lg,gr) )).++fof(direct_subsort_ng_gr,axiom,(+ direct_subsort(ng,gr) )).++fof(direct_subsort_qn_ent,axiom,(+ direct_subsort(qn,ent) )).++fof(direct_subsort_m_qn,axiom,(+ direct_subsort(m,qn) )).++fof(direct_subsort_me_qn,axiom,(+ direct_subsort(me,qn) )).++fof(direct_subsort_qf_qn,axiom,(+ direct_subsort(qf,qn) )).++fof(direct_subsort_nn_qf,axiom,(+ direct_subsort(nn,qf) )).++fof(direct_subsort_nu_qf,axiom,(+ direct_subsort(nu,qf) )).++fof(direct_subsort_fe_ent,axiom,(+ direct_subsort(fe,ent) )).++fof(sub_sub__sub,axiom,(+ ! [X0,X1,X2] :+ ( ( sub(X0,X1)+ & sub(X1,X2) )+ => sub(X0,X2) ) )).++fof(pred_sub__pred,axiom,(+ ! [X0,X1,X2] :+ ( ( pred(X0,X1)+ & sub(X1,X2) )+ => pred(X0,X2) ) )).++fof(subs_subs__subs,axiom,(+ ! [X0,X1,X2] :+ ( ( subs(X0,X1)+ & subs(X1,X2) )+ => subs(X0,X2) ) )).++fof(preds_subs__preds,axiom,(+ ! [X0,X1,X2] :+ ( ( preds(X0,X1)+ & subs(X1,X2) )+ => preds(X0,X2) ) )).++fof(subs_or_preds_real__stattfinden_1_1,axiom,(+ ! [X0,X1] :+ ( ( ( subs(X0,X1)+ | preds(X0,X1) )+ & has_fact_leq(X0,real) )+ => ? [X2] :+ ( exp(X2,X0)+ & hsit(X0,X2)+ & subs(X2,eintreffen_1_2) ) ) )).++fof(stattfinden_1_1__hsit,axiom,(+ ! [X0,X1,X2] :+ ( ( ( subs(X0,X1)+ | preds(X0,X1) )+ & exp(X2,X0)+ & has_fact_leq(X0,real)+ & subs(X2,eintreffen_1_2) )+ => hsit(X2,X0) ) )).++fof(hsit_temp_transfer,axiom,(+ ! [X0,X1,X2] :+ ( ( hsit(X0,X1)+ & temp(X0,X2) )+ => temp(X1,X2) ) )).++fof(hsit_loc_transfer,axiom,(+ ! [X0,X1,X2] :+ ( ( hsit(X0,X2)+ & loc(X0,X1) )+ => loc(X2,X1) ) )).++fof(hsit_circ_transfer,axiom,(+ ! [X0,X1,X2] :+ ( ( circ(X2,X1)+ & hsit(X0,X1) )+ => circ(X2,X0) ) )).++fof(temp_rslt_transfer,axiom,(+ ! [X0,X1,X2] :+ ( ( rslt(X1,X0)+ & temp(X1,X2) )+ => temp(X0,X2) ) )).++fof(beh__366rde_1_1_loc__attch_institution_1_1_loc,axiom,(+ ! [X0,X1,X2] :+ ( ( attch(X0,X1)+ & loc(X0,X2)+ & sub(X0,be_h__366rde_1_1) )+ => loc(X1,X2) ) )).++fof(chea_temp_e__a,axiom,(+ ! [X0,X1,X2] :+ ( ( chea(X1,X0)+ & temp(X1,X2) )+ => temp(X0,X2) ) )).++fof(chea_temp_a__e,axiom,(+ ! [X0,X1,X2] :+ ( ( chea(X1,X0)+ & temp(X0,X2) )+ => temp(X1,X2) ) )).++fof(chea_loc_e__a,axiom,(+ ! [X0,X1,X2] :+ ( ( chea(X1,X0)+ & loc(X1,X2) )+ => loc(X0,X2) ) )).++fof(chea_loc_a__e,axiom,(+ ! [X0,X1,X2] :+ ( ( chea(X1,X0)+ & loc(X0,X2) )+ => loc(X1,X2) ) )).++fof(chea_circ_e__a,axiom,(+ ! [X0,X1,X2] :+ ( ( chea(X2,X0)+ & circ(X2,X1) )+ => circ(X0,X1) ) )).++fof(chea_circ_a__e,axiom,(+ ! [X0,X1,X2] :+ ( ( chea(X2,X0)+ & circ(X0,X1) )+ => circ(X2,X1) ) )).++fof(chea_aff_e__a,axiom,(+ ! [X0,X1,X2] :+ ( ( aff(X2,X1)+ & chea(X2,X0) )+ => aff(X0,X1) ) )).++fof(chea_aff_a__e,axiom,(+ ! [X0,X1,X2] :+ ( ( aff(X0,X1)+ & chea(X2,X0) )+ => aff(X2,X1) ) )).++fof(loc__sein_3_2_loc,axiom,(+ ! [X0,X1] :+ ( loc(X0,X1)+ => ? [X2] :+ ( loc(X2,X1)+ & scar(X2,X0)+ & subs(X2,befinden_1_2) ) ) )).++fof(sein_3_2_loc__loc,axiom,(+ ! [X0,X1,X2] :+ ( ( loc(X2,X1)+ & scar(X2,X0)+ & subs(X2,befinden_1_2) )+ => loc(X0,X1) ) )).++fof(attch__assoc_1,axiom,(+ ! [X0,X1] :+ ( attch(X1,X0)+ => assoc(X0,X1) ) )).++fof(loc__geben_1_1_loc,axiom,(+ ! [X0,X1] :+ ( ( has_fact_leq(X1,real)+ & loc(X1,X0) )+ => ? [X2] :+ ( loc(X2,X0)+ & obj(X2,X1)+ & subs(X2,geben_1_1) ) ) )).++fof(chea_subs_event__abs,axiom,(+ ! [X0,X1,X2] :+ ( ( chea(X2,X1)+ & subs(X0,X2) )+ => ? [X3] :+ ( chea(X0,X3)+ & subs(X3,X1) ) ) )).++fof(chea_subs_abs__event,axiom,(+ ! [X0,X1,X2] :+ ( ( chea(X2,X1)+ & subs(X0,X1) )+ => ? [X3] :+ ( chea(X3,X0)+ & subs(X3,X2) ) ) )).++fof(chea_agt_event__abs,axiom,(+ ! [X0,X1,X2] :+ ( ( agt(X1,X2)+ & chea(X1,X0) )+ => agt(X0,X2) ) )).++fof(chea_agt_abs__event,axiom,(+ ! [X0,X1,X2] :+ ( ( agt(X0,X2)+ & chea(X1,X0) )+ => agt(X1,X2) ) )).++fof(chea_obj_event__abs,axiom,(+ ! [X0,X1,X2] :+ ( ( chea(X1,X0)+ & obj(X1,X2) )+ => obj(X0,X2) ) )).++fof(chea_obj_abs__event,axiom,(+ ! [X0,X1,X2] :+ ( ( chea(X1,X0)+ & obj(X0,X2) )+ => obj(X1,X2) ) )).++fof(stammen_1_2_aus__kommen_1_1_aus,axiom,(+ ! [X0,X1,X2,X3,X4] :+ ( ( flp(X0,X2)+ & arg1(X1,X3)+ & arg2(X1,X4)+ & origl(X3,X0)+ & subs(X1,stammen_1_2) )+ => ? [X5] :+ ( agt(X5,X3)+ & hsit(X1,X5)+ & origl(X5,X4)+ & subs(X5,kommen_1_1) ) ) )).++fof(temp_attr__temp,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( attr(X2,X0)+ & sub(X0,X3)+ & temp(X1,X2)+ & temporal_attribute(X3,dummy_0) )+ => temp(X1,X0) ) )).++fof(dircl_in_A_dircl_in_B__A_loc_B,axiom,(+ ! [X0,X1,X2,X3,X4,X5,X6] :+ ( ( in(X5,X0)+ & in(X6,X1)+ & dircl(X2,X5)+ & dircl(X2,X6)+ & local_in_stereotype(X3,X4)+ & sub(X0,X3)+ & sub(X1,X4) )+ => loc(X0,X1) ) )).++fof(betreten__sein_3_2,axiom,(+ ! [X0,X1,X2] :+ ( ( agt(X0,X2)+ & obj(X0,X1)+ & subs(X0,befahren_1_1) )+ => ? [X3,X4] :+ ( in(X3,X1)+ & loc(X4,X3)+ & rslt(X0,X4)+ & scar(X4,X2)+ & subs(X4,befinden_1_2) ) ) )).++fof(w__344hlen_1_2__sub,axiom,(+ ! [X0,X1,X2,X3,X4] :+ ( ( arg1(X1,X4)+ & arg2(X1,X2)+ & obj(X3,X4)+ & rslt(X3,X1)+ & sub(X2,X0)+ & subr(X1,rprs_0)+ & subs(X3,w__344hlen_1_2) )+ => sub(X4,X0) ) )).++fof(berufen_1_1__sub,axiom,(+ ! [X0,X1,X2] :+ ( ( benf(X0,X2)+ & obj(X0,X1)+ & subs(X0,berufen_1_1) )+ => sub(X2,X1) ) )).++fof(aufrufen_1_1__aufruf_1_1_machen_1_6,axiom,(+ ! [X0,X1,X2] :+ ( ( agt(X1,X2)+ & purp(X1,X0)+ & subs(X1,aufrufen_1_1) )+ => ? [X3,X4,X5] :+ ( agt(X4,X2)+ & arg1(X5,X3)+ & caus(X4,X5)+ & hsit(X1,X4)+ & mcont(X3,X0)+ & obj(X4,X3)+ & sub(X3,aufruf_1_1)+ & subr(X5,prop_0)+ & subs(X4,machen_1_6) ) ) )).++fof(aufruf_1_1_lancieren1_1__aufrufen_1_1,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( agt(X1,X2)+ & mcont(X0,X3)+ & ornt(X1,X0)+ & sub(X0,aufruf_1_1)+ & subs(X1,lancieren_1_1) )+ => ? [X4] :+ ( agt(X4,X2)+ & hsit(X1,X4)+ & purp(X4,X3)+ & subs(X4,aufrufen_1_1) ) ) )).++fof(propagieren_1_1__aufrufen_1_1,axiom,(+ ! [X0,X1,X2] :+ ( ( agt(X0,X1)+ & mcont(X0,X2)+ & subs(X0,propagieren_1_1) )+ => ? [X3] :+ ( agt(X3,X1)+ & hsit(X0,X3)+ & purp(X3,X2)+ & subs(X3,aufrufen_1_1) ) ) )).++fof(attch_frau_1_1_etc__verheiratet_1_1_mit,axiom,(+ ! [X0,X1,X2] :+ ( ( attch(X1,X2)+ & member(X0,cons(ehefrau_1_1,cons(ehemann_1_1,cons(frau_1_1,cons(mann_1_1,nil)))))+ & sub(X2,X0) )+ => ? [X3,X4] :+ ( arg1(X3,X1)+ & arg2(X3,X4)+ & assoc(X3,X2)+ & chsp2(verheiraten_1_1,X4)+ & prop(X1,X4)+ & subr(X3,prop_0) ) ) )).++fof(abs_event_loc__abs_event_attch_1,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( ( in(X2,X0)+ | an(X2,X0)+ | bei(X2,X0) )+ & ( subs(X1,X3)+ | preds(X1,X3) )+ & loc(X1,X2) )+ => attch(X0,X1) ) )).++fof(rammen_1_1__sto__337en_1_1_gegen_,axiom,(+ ! [X0,X1,X2] :+ ( ( aff(X2,X1)+ & agt(X2,X0)+ & subs(X2,rammen_1_1) )+ => ? [X3] :+ ( exp(X3,X0)+ & hsit(X2,X3)+ & obj(X3,X1)+ & subs(X3,sto__337en_1_1) ) ) )).++fof(fin_temp_sit__sit_temp,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( ( subs(X0,X1)+ | preds(X0,X1) )+ & fin(X2,X3)+ & temp(X2,X0) )+ => temp(X0,X3) ) )).++fof(state_attch__prop_national_1_1,axiom,(+ ! [X0,X1] :+ ( ( attch(X1,X0)+ & sub(X1,land_1_1) )+ => prop(X0,national__1_1) ) )).++fof(verleihen_1_1__bekommen_1_1,axiom,(+ ! [X0,X1,X2] :+ ( ( obj(X0,X2)+ & ornt(X0,X1)+ & subs(X0,verleihen_1_1) )+ => ? [X3] :+ ( exp(X3,X1)+ & hsit(X0,X3)+ & obj(X3,X2)+ & subs(X3,bekommen_1_1) ) ) )).++fof(preis_bekommen_1_1__preis_verleihen_1_1,axiom,(+ ! [X0,X1,X2] :+ ( ( exp(X0,X1)+ & obj(X0,X2)+ & sub(X2,preis_1_1)+ & subs(X0,bekommen_1_1) )+ => ? [X3] :+ ( hsit(X0,X3)+ & obj(X3,X2)+ & ornt(X3,X1)+ & subs(X3,verleihen_1_1) ) ) )).++fof(mit_preis_auszeichnen_1_1__verleihen_1_1,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( ctxt(X0,X3)+ & member(X1,cons(nobelpreis_1_1,cons(preis_1_1,nil)))+ & ornt(X0,X2)+ & sub(X3,X1)+ & subs(X0,auszeichnen_1_1) )+ => ? [X4] :+ ( hsit(X0,X4)+ & obj(X4,X3)+ & ornt(X4,X2)+ & subs(X4,verleihen_1_1) ) ) )).++fof(preis_verleihen_1_1__auszeichnen_1_1,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( member(X0,cons(nobelpreis_1_1,cons(preis_1_1,nil)))+ & obj(X1,X3)+ & ornt(X1,X2)+ & sub(X3,X0)+ & subs(X1,verleihen_1_1) )+ => ? [X4] :+ ( ctxt(X4,X3)+ & hsit(X1,X4)+ & ornt(X4,X2)+ & subs(X4,auszeichnen_1_1) ) ) )).++fof(preis_bekommen_1_1__nominieren_1_1,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( exp(X0,X2)+ & member(X1,cons(nobelpreis_1_1,cons(preis_1_1,nil)))+ & obj(X0,X3)+ & sub(X3,X1)+ & subs(X0,bekommen_1_1) )+ => ? [X4,X5] :+ ( arg1(X4,X2)+ & arg2(X4,X3)+ & hsit(X0,X5)+ & obj(X5,X2)+ & rslt(X5,X4)+ & subr(X4,attch_0)+ & subs(X5,aufstellen_1_3) ) ) )).++fof(x_nobelpreis__nobelpreis_f__374r_X,axiom,(+ ! [X0,X1] :+ ( ( assoc(X0,X1)+ & sub(X0,nobelpreis_1_1) )+ => benf(X0,X1) ) )).++fof(gehen_1_2__verleihen_1_1,axiom,(+ ! [X0,X1,X2] :+ ( ( obj(X0,X2)+ & ornt(X0,X1)+ & subs(X0,gehen_1_2) )+ => ? [X3] :+ ( hsit(X0,X3)+ & obj(X3,X2)+ & ornt(X3,X1)+ & subs(X3,verleihen_1_1) ) ) )).++fof(f_film_von_regisseur_R__R_regisseur_von_film_F,axiom,(+ ! [X0,X1] :+ ( ( attch(X1,X0)+ & sub(X0,film_1_1)+ & sub(X1,regisseur_1_1) )+ => attch(X0,X1) ) )).++fof(geburtstag_1_1_feiern_1_1_temp__geboren_temp,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( attch(X2,X1)+ & obj(X0,X1)+ & sub(X1,ehrentag_1_1)+ & subs(X0,feiern_1_1)+ & temp(X0,X3) )+ => ? [X4] :+ ( prop(X2,geboren_1_1)+ & rslt(X4,X2)+ & subs(X4,geb__344ren_1_1)+ & temp(X4,X3) ) ) )).++fof(prop_adjektiv_ort__in_ort,axiom,(+ ! [X0,X1,X2] :+ ( ( ort_adjektiv_ort(X0,X1)+ & prop(X2,X0) )+ => ? [X3,X4,X5] :+ ( in(X4,X5)+ & attr(X5,X3)+ & loc(X2,X4)+ & sub(X3,name_1_1)+ & sub(X5,stadt__1_1)+ & val(X3,X1) ) ) )).++fof(geburtshaus_loc__geboren_loc,axiom,(+ ! [X0,X1,X2] :+ ( ( ( attch(X1,X0)+ | assoc(X1,X0) )+ & loc(X0,X2)+ & sub(X0,geburtshaus_1_1) )+ => ? [X3] :+ ( loc(X3,X2)+ & prop(X1,geboren_1_1)+ & rslt(X3,X1)+ & subs(X3,geb__344ren_1_1) ) ) )).++fof(sich_leben_nehmen__sich_t__366ten,axiom,(+ ! [X0,X1,X2] :+ ( ( agt(X2,X0)+ & obj(X2,X1)+ & subs(X1,leben_1_1)+ & subs(X2,nehmen_1_1) )+ => ? [X3] :+ ( aff(X3,X0)+ & agt(X3,X0)+ & hsit(X2,X3)+ & subs(X3,abmurksen_1_1) ) ) )).++fof(t__366ten_1_1__sterben_1_1,axiom,(+ ! [X0,X1] :+ ( ( aff(X1,X0)+ & subs(X1,abmurksen_1_1) )+ => ? [X2] :+ ( aff(X2,X0)+ & hsit(X1,X2)+ & subs(X2,sterben_1_1) ) ) )).++fof(erschie__337en_1_1__t__366ten_1_1,axiom,(+ ! [X0,X1,X2] :+ ( ( aff(X1,X2)+ & agt(X1,X0)+ & subs(X1,abknallen_1_1) )+ => ? [X3] :+ ( aff(X3,X2)+ & agt(X3,X0)+ & hsit(X1,X3)+ & subs(X3,abmurksen_1_1) ) ) )).++fof(verungl__374cken_1_1__sterben_1_1,axiom,(+ ! [X0,X1] :+ ( ( exp(X1,X0)+ & subs(X1,verunfallen_1_1) )+ => ? [X2] :+ ( aff(X2,X0)+ & hsit(X1,X2)+ & subs(X2,sterben_1_1) ) ) )).++fof(sterben_1_1__prop_0_tot_1_1,axiom,(+ ! [X0,X1] :+ ( ( aff(X1,X0)+ & subs(X1,sterben_1_1) )+ => ? [X2] :+ ( arg1(X2,X0)+ & arg2(X2,tot__1_1)+ & prop(X0,tot__1_1)+ & rslt(X1,X2)+ & subr(X2,prop_0) ) ) )).++fof(sub_mitglied_1_1_loc_in_institution_1_1__angeh__366ren_1_1,axiom,(+ ! [X0,X1,X2] :+ ( ( in(X0,X1)+ & loc(X2,X0)+ & sub(X1,einrichtung_1_2)+ & sub(X2,mitglied_1_1) )+ => ? [X3] :+ ( scar(X3,X2)+ & sspe(X3,X1)+ & subs(X3,angeh__366ren_1_1) ) ) )).++fof(angeh__366ren_1_1__sub_mitglied_1_1_loc_in_institution_1_1,axiom,(+ ! [X0,X1,X2] :+ ( ( scar(X0,X2)+ & sspe(X0,X1)+ & subs(X0,angeh__366ren_1_1) )+ => ? [X3] :+ ( in(X3,X1)+ & loc(X2,X3)+ & sub(X2,mitglied_1_1) ) ) )).++fof(mitgliedschaft_1_1__angeh__366ren_1_1,axiom,(+ ! [X0,X1,X2] :+ ( ( attch(X2,X0)+ & obj(X0,X1)+ & subs(X0,mit_gliedschaft_1_1) )+ => ? [X3] :+ ( hsit(X0,X3)+ & scar(X3,X2)+ & sspe(X3,X1)+ & subs(X3,angeh__366ren_1_1) ) ) )).++fof(angeh__366ren_1_1__mitgliedschaft_1_1,axiom,(+ ! [X0,X1,X2] :+ ( ( scar(X0,X2)+ & sspe(X0,X1)+ & subs(X0,angeh__366ren_1_1) )+ => ? [X3] :+ ( attch(X2,X3)+ & hsit(X0,X3)+ & obj(X3,X1)+ & subs(X3,mit_gliedschaft_1_1) ) ) )).++fof(person_attch_institution__person_geh__366rt_P_an,axiom,(+ ! [X0,X1] :+ ( ( attch(X1,X0)+ & sub(X0,einrichtung_1_2) )+ => ? [X2] :+ ( scar(X2,X1)+ & sspe(X2,X0)+ & subs(X2,angeh__366ren_1_1) ) ) )).++fof(partei_adj_prop__partei_angeh__366ren,axiom,(+ ! [X0,X1,X2] :+ ( ( partei_adj_partei(X0,X1)+ & prop(X2,X0) )+ => ? [X3,X4,X5] :+ ( attr(X4,X5)+ & scar(X3,X2)+ & sspe(X3,X4)+ & sub(X4,einrichtung_1_2)+ & sub(X5,name_1_1)+ & subs(X3,angeh__366ren_1_1)+ & val(X5,X1) ) ) )).++fof(partei_angeh__366ren__partei_adj_prop,axiom,(+ ! [X0,X1,X2,X3,X4,X5] :+ ( ( attr(X4,X5)+ & partei_adj_partei(X1,X2)+ & scar(X0,X3)+ & sspe(X0,X4)+ & sub(X5,name_1_1)+ & subs(X0,angeh__366ren_1_1)+ & val(X5,X2) )+ => prop(X3,X1) ) )).++fof(chef_einer_organisation__der_organisation_angeh__366ren,axiom,(+ ! [X0,X1] :+ ( ( attch(X0,X1)+ & sub(X0,einrichtung_1_2)+ & sub(X1,an_f__374hrer_1_1) )+ => ? [X2] :+ ( scar(X2,X1)+ & sspe(X2,X0)+ & subs(X2,angeh__366ren_1_1) ) ) )).++fof(attch_1_obj_transfer,axiom,(+ ! [X0,X1,X2] :+ ( ( attch(X2,X0)+ & attch_1_obj_transfer(X0,X1) )+ => obj(X1,X2) ) )).++fof(vorsitz_1_1_f__374hren_1_8__vorsitzen_1_1,axiom,(+ ! [X0,X1,X2] :+ ( ( agt(X0,X1)+ & obj(X0,X2)+ & sub(X2,vorsitz_1_1)+ & subs(X0,f__374hren_1_8) )+ => ? [X3] :+ ( attch_1_obj_transfer(X2,X3)+ & hsit(X0,X3)+ & scar(X3,X1)+ & subs(X3,vorsitzen_1_1) ) ) )).++fof(herrschaft_attch_1_person__unter_person,axiom,(+ ! [X0,X1] :+ ( ( attch(X1,X0)+ & sub(X1,mensch_1_1)+ & subs(X0,dominanz_1_1) )+ => ? [X2] :+ ( unter(X2,X1)+ & loc(X0,X2) ) ) )).++fof(herrschaft_unter_person__attch_1_person,axiom,(+ ! [X0,X1,X2] :+ ( ( unter(X1,X2)+ & loc(X0,X1)+ & subs(X0,dominanz_1_1) )+ => attch(X2,X0) ) )).++fof(herrschaft_attch_1__herrscher_1_1,axiom,(+ ! [X0,X1] :+ ( ( attch(X1,X0)+ & sub(X1,mensch_1_1)+ & subs(X0,dominanz_1_1) )+ => sub(X1,herrscher__1_1) ) )).++fof(truppen_handeln_im_auftrag,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( ( sub(X2,X3)+ | pred(X2,X3) )+ & agt(X0,X2)+ & attch(X1,X2)+ & member(X3,cons(krieger__1_1,cons(trupp_1_1,nil)))+ & sub(X1,einrichtung_1_2) )+ => agt(X0,X1) ) )).++fof(distrib_agt_A_B__A,axiom,(+ ! [X0,X1,X2,X3,X4,X5] :+ ( ( itms(X4,X0,X1)+ & agt(X5,X4)+ & distrib_agt(X3,X2)+ & subs(X5,X3) )+ => agt(X5,X0) ) )).++fof(distrib_obj_A_B__A,axiom,(+ ! [X0,X1,X2,X3,X4,X5] :+ ( ( itms(X4,X0,X1)+ & distrib_obj(X3,X2)+ & obj(X5,X4)+ & subs(X5,X3) )+ => obj(X5,X0) ) )).++fof(itms_symmetry,axiom,(+ ! [X0,X1,X2] :+ ( itms(X2,X1,X0)+ => itms(X2,X0,X1) ) )).++fof(erkranken_1_1_an_X__X_subs_krankheit_1_1,axiom,(+ ! [X0,X1] :+ ( ( cstr(X1,X0)+ & subs(X1,erkranken_1_1) )+ => subs(X0,krankheit_1_1) ) )).++fof(inhabitant__state_adjective,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( attch(X2,X0)+ & pred(X2,X3)+ & state_adjective_inhabitant_binding(X1,X3) )+ => prop(X0,X1) ) )).++fof(state_adjective__inhabitant,axiom,(+ ! [X0,X1,X2] :+ ( ( prop(X0,X1)+ & state_adjective_inhabitant_binding(X1,X2) )+ => ? [X3] :+ ( attch(X3,X0)+ & pred(X3,X2) ) ) )).++fof(state__state_adjective,axiom,(+ ! [X0,X1,X2,X3,X4,X5] :+ ( ( attch_p3(X2,X0,X5)+ & attr(X2,X3)+ & state_adjective_state_binding(X1,X4)+ & sub(X2,land_1_1)+ & sub(X3,name_1_1)+ & val(X3,X4) )+ => prop(X0,X1) ) )).++fof(state_adjective__state,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( prop_p3(X0,X1,X3)+ & state_adjective_state_binding(X1,X2) )+ => ? [X4,X5] :+ ( attch(X4,X0)+ & attr(X4,X5)+ & sub(X4,land_1_1)+ & sub(X5,name_1_1)+ & val(X5,X2) ) ) )).++fof(in_state__state_adjective,axiom,(+ ! [X0,X1,X2,X3,X4,X5] :+ ( ( in(X5,X2)+ & attr(X2,X3)+ & loc(X0,X5)+ & state_adjective_state_binding(X1,X4)+ & sub(X2,land_1_1)+ & sub(X3,name_1_1)+ & val(X3,X4) )+ => prop(X0,X1) ) )).++fof(state_adjective__in_state,axiom,(+ ! [X0,X1,X2] :+ ( ( prop(X0,X1)+ & state_adjective_state_binding(X1,X2) )+ => ? [X3,X4,X5] :+ ( in(X5,X3)+ & attr(X3,X4)+ & loc(X0,X5)+ & sub(X3,land_1_1)+ & sub(X4,name_1_1)+ & val(X4,X2) ) ) )).++fof(itms_pred__item_sub,axiom,(+ ! [X0,X1,X2,X3,X4] :+ ( ( itms(X2,X0,X1)+ & pred(X2,X3)+ & sub(X0,X4) )+ => sub(X0,X3) ) )).++fof(itms_pred__item_pred,axiom,(+ ! [X0,X1,X2,X3,X4] :+ ( ( itms(X2,X0,X1)+ & pred(X0,X4)+ & pred(X2,X3) )+ => pred(X0,X3) ) )).++fof(drop_first_name_component,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( tupl(X1,X2,X3)+ & sub(X0,eigenname_1_1)+ & val(X0,X1) )+ => val(X0,X2) ) )).++fof(attr_name_hei__337en_1_1,axiom,(+ ! [X0,X1,X2] :+ ( ( attr(X2,X0)+ & member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))+ & sub(X0,X1) )+ => ? [X3] :+ ( arg1(X3,X2)+ & arg2(X3,X2)+ & subs(X3,hei__337en_1_1) ) ) )).++fof(attr_name__abk__374rzung_stehen_1_b_f__374r,axiom,(+ ! [X0,X1,X2] :+ ( ( attr(X2,X0)+ & member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))+ & sub(X0,X1) )+ => ? [X3] :+ ( mcont(X3,X2)+ & obj(X3,X2)+ & scar(X3,X2)+ & subs(X3,stehen_1_b) ) ) )).++fof(hei__337en_1_1__bezeichnen_1_1_als,axiom,(+ ! [X0,X1,X2] :+ ( ( arg1(X0,X1)+ & arg2(X0,X2)+ & subs(X0,hei__337en_1_1) )+ => ? [X3,X4] :+ ( arg1(X4,X1)+ & arg2(X4,X2)+ & hsit(X0,X3)+ & mcont(X3,X4)+ & obj(X3,X1)+ & subr(X4,rprs_0)+ & subs(X3,bezeichnen_1_1) ) ) )).++fof(sub__bezeichnen_1_1_als,axiom,(+ ! [X0,X1,X2] :+ ( ( arg1(X0,X1)+ & arg2(X0,X2)+ & subr(X0,sub_0) )+ => ? [X3,X4,X5] :+ ( arg1(X4,X1)+ & arg2(X4,X5)+ & hsit(X0,X3)+ & mcont(X3,X4)+ & obj(X3,X1)+ & sub(X5,X2)+ & subr(X4,rprs_0)+ & subs(X3,bezeichnen_1_1) ) ) )).++fof(sub__sub_0_expansion,axiom,(+ ! [X0,X1] :+ ( sub(X0,X1)+ => ? [X2] :+ ( arg1(X2,X0)+ & arg2(X2,X1)+ & subr(X2,sub_0) ) ) )).++fof(pmod_oq__sub,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( pmod(X0,X1,X2)+ & has_sort_leq(X1,oq)+ & sub(X3,X0) )+ => sub(X3,X2) ) )).++fof(pmod_oq__pred,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( pmod(X0,X1,X2)+ & has_sort_leq(X1,oq)+ & pred(X3,X0) )+ => pred(X3,X2) ) )).++fof(ctxt_sub__c_role_sub,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( ( agt(X2,X0)+ | exp(X2,X0)+ | mexp(X2,X0) )+ & ctxt(X2,X1)+ & sub(X1,X3) )+ => sub(X0,X3) ) )).++fof(ctxt_pred__c_role_pred,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( ( agt(X2,X0)+ | exp(X2,X0)+ | mexp(X2,X0) )+ & ctxt(X2,X1)+ & pred(X1,X3) )+ => pred(X0,X3) ) )).++fof(pmod_impl___pmod,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( pmod(X3,X1,X2)+ & impl(X1,X0) )+ => pmod(X3,X0,X2) ) )).++fof(prop_impl__prop,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( impl(X1,X0)+ & prop_p3(X3,X1,X2) )+ => prop_p3(X3,X0,X2) ) )).++fof(agtrel__action_rslt,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( ( sub(X3,X1)+ | pred(X3,X1) )+ & agtrel(X0,X1)+ & attch(X3,X2) )+ => ? [X4] :+ ( agt(X4,X3)+ & rslt(X4,X2)+ & subs(X4,X0) ) ) )).++fof(agtrel__actor_attch_sub,axiom,(+ ! [X0,X1,X2,X3,X4] :+ ( ( agt(X3,X4)+ & agtrel(X0,X1)+ & rslt(X3,X2)+ & sub(X3,X0)+ & subs(X3,X0) )+ => ( attch(X4,X2)+ & sub(X4,X1) ) ) )).++fof(agtrel__actor_attch_pred,axiom,(+ ! [X0,X1,X2,X3,X4] :+ ( ( agt(X3,X4)+ & agtrel(X0,X1)+ & pred(X3,X0)+ & rslt(X3,X2)+ & subs(X3,X0) )+ => ( attch(X4,X2)+ & pred(X4,X1) ) ) )).++fof(scarrel_carrier_attch__state_obj,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( ( sub(X0,X1)+ | subs(X0,X1)+ | pred(X0,X1)+ | preds(X0,X1) )+ & attch(X0,X2)+ & scarrel(X3,X1) )+ => ? [X4] :+ ( obj(X4,X2)+ & scar(X4,X0)+ & subs(X4,X3) ) ) )).++fof(scarrel_state_obj__carrier_attch,axiom,(+ ! [X0,X1,X2,X3,X4] :+ ( ( obj(X3,X2)+ & scar(X3,X0)+ & scarrel(X4,X1)+ & subs(X3,X4) )+ => ( attch(X0,X2)+ & sub(X0,X1) ) ) )).++fof(attr_named_entity_type__sub,axiom,(+ ! [X0,X1,X2,X3] :+ ( ( attr(X3,X0)+ & has_etype_leq(X3,int0)+ & named_entity_type(X1,X2)+ & sub(X0,name_1_1)+ & val(X0,X1) )+ => sub(X3,X2) ) )).++fof(local_function___flp,axiom,(+ ! [X0,X1] :+ ( ( in(X0,X1)+ | an(X0,X1)+ | bei(X0,X1) )+ => flp(X0,X1) ) )).++fof(name_rel__attr_val_name_1_1,axiom,(+ ! [X0,X1] :+ ( name(X1,X0)+ => ? [X2] :+ ( attr(X1,X2)+ & sub(X2,name_1_1)+ & val(X2,X0) ) ) )).++fof(attr_val_name_1_1__name_rel,axiom,(+ ! [X0,X1,X2] :+ ( ( attr(X2,X0)+ & sub(X0,name_1_1)+ & val(X0,X1) )+ => name(X2,X1) ) )).++fof(loc__liegen_1_1_loc,axiom,(+ ! [X0,X1] :+ ( loc(X0,X1)+ => ? [X2] :+ ( arg1(X2,X0)+ & loc(X2,X1)+ & subs(X2,liegen_1_1) ) ) )).++fof(loc__stehen_1_1_loc,axiom,(+ ! [X0,X1] :+ ( loc(X0,X1)+ => ? [X2] :+ ( loc(X2,X1)+ & scar(X2,X0)+ & subs(X2,stehen_1_1) ) ) )).++fof(stehen_1_1_loc__loc,axiom,(+ ! [X0,X1,X2] :+ ( ( loc(X2,X1)+ & scar(X2,X0)+ & subs(X2,stehen_1_1) )+ => loc(X0,X1) ) )).++fof(fact_1,axiom,(+ agtrel(abmurksen_1_1,killer_1_1) )).++fof(fact_2,axiom,(+ agtrel(angreifen_1_1,aggressor_1_1) )).++fof(fact_3,axiom,(+ agtrel(anl__374gen_1_1,l__374gner_1_1) )).++fof(fact_4,axiom,(+ agtrel(antreten_2_2,kandidat_1_1) )).++fof(fact_5,axiom,(+ agtrel(erfinden_1_1,erfinder_1_1) )).++fof(fact_6,axiom,(+ agtrel(f__374hren_1_1,an_f__374hrer_1_1) )).++fof(fact_7,axiom,(+ agtrel(f__374hren_1_6,an_f__374hrer_1_1) )).++fof(fact_8,axiom,(+ agtrel(gr__374nden_1_1,be_gr__374nder_1_1) )).++fof(fact_9,axiom,(+ agtrel(kaufen_1_1,k__344ufer_1_1) )).++fof(fact_10,axiom,(+ agtrel(konstruieren_1_1,architekt_1_1) )).++fof(fact_11,axiom,(+ agtrel(publizieren_1_1,korrespondent_1_1) )).++fof(fact_12,axiom,(+ agtrel(verkaufen_1_1,gewerbevertreter_1_1) )).++fof(fact_13,axiom,(+ agtrel(vermitteln_1_1,vermittler_1_1) )).++fof(fact_14,axiom,(+ assoc(aktfotograf_1_1,akte_1_1) )).++fof(fact_15,axiom,(+ assoc(altpapier_1_1,alt_1_1) )).++fof(fact_16,axiom,(+ assoc(automobilbauer_1_1,automobil_1_1) )).++fof(fact_17,axiom,(+ assoc(bergmassiv_1_1,berg_1_1) )).++fof(fact_18,axiom,(+ assoc(bundeskanzler_1_1,bund_1_1) )).++fof(fact_19,axiom,(+ assoc(computermesse_1_1,com_put_er_1_1) )).++fof(fact_20,axiom,(+ assoc(ehemann_1_1,ehe_2_1) )).++fof(fact_21,axiom,(+ assoc(erziehungsanstalt_1_1,erziehung_1_1) )).++fof(fact_22,axiom,(+ assoc(euland_1_1,eu_0) )).++fof(fact_23,axiom,(+ assoc(fernseh_film_1_1,fernsehen_3_1) )).++fof(fact_24,axiom,(+ assoc(filme_macher_1_1,film_1_1) )).++fof(fact_25,axiom,(+ assoc(filmpreis_1_1,film_1_1) )).++fof(fact_26,axiom,(+ assoc(freiheitsstatue_1_1,freiheit_1_1) )).++fof(fact_27,axiom,(+ assoc(freitagsgesellschaft_1_2,freiertag_1_1) )).++fof(fact_28,axiom,(+ assoc(fruehjahr_1_1,fr__374h_1_1) )).++fof(fact_29,axiom,(+ assoc(funkrockband_2_1,funk_1_1) )).++fof(fact_30,axiom,(+ assoc(funkrockband_2_1,rock_1_1) )).++fof(fact_31,axiom,(+ assoc(fussball_spieler_1_1,fu__337ball_2_1) )).++fof(fact_32,axiom,(+ assoc(geburtname_1_1,geburt_1_1) )).++fof(fact_33,axiom,(+ assoc(grundfl__344che_1_1,grund_2_1) )).++fof(fact_34,axiom,(+ assoc(hundertwasserbahnhof_1_1,hundert_1_1) )).++fof(fact_35,axiom,(+ assoc(hundertwasserbahnhof_1_1,hydro_1_1) )).++fof(fact_36,axiom,(+ assoc(kyotoprotokoll_1_1,kyoto_0) )).++fof(fact_37,axiom,(+ assoc(landesvater_1_1,land_1_1) )).++fof(fact_38,axiom,(+ assoc(literaturnobelpreis_1_1,dichtung_1_1) )).++fof(fact_39,axiom,(+ assoc(mauerfall_1_1,mauer__1_1) )).++fof(fact_40,axiom,(+ assoc(modefotograf_1_1,mode_1_1) )).++fof(fact_41,axiom,(+ assoc(opernball_1_1,oper_1_1) )).++fof(fact_42,axiom,(+ assoc(praterhauptallee_1_1,haupt_1_2) )).++fof(fact_43,axiom,(+ assoc(praterhauptallee_1_1,prater_0) )).++fof(fact_44,axiom,(+ assoc(psycho_ana_lyse_1_1,psycho_logie_1_1) )).++fof(fact_45,axiom,(+ assoc(relativit__344tstheorie_1_1,relativit__344t_1_1) )).++fof(fact_46,axiom,(+ assoc(rockband_3_1,rock_1_1) )).++fof(fact_47,axiom,(+ assoc(romanvorlage_1_1,roman_0) )).++fof(fact_48,axiom,(+ assoc(schlagers__344ngerin_1_1,schlager__1_1) )).++fof(fact_49,axiom,(+ assoc(siegess__344ule_1_1,gewinn_2_1) )).++fof(fact_50,axiom,(+ assoc(singlepreis_1_1,single_1_1) )).++fof(fact_51,axiom,(+ assoc(spitzname_1_1,spitz__1_1) )).++fof(fact_52,axiom,(+ assoc(unkinderhilfswerk_1_1,kind_1_1) )).++fof(fact_53,axiom,(+ assoc(unkinderhilfswerk_1_1,l__344ndergemeinschaft_1_1) )).++fof(fact_54,axiom,(+ assoc(untergrundbewegung_1_1,untergrund_1_1) )).++fof(fact_55,axiom,(+ assoc(uspr__344sident_1_1,us_0) )).++fof(fact_56,axiom,(+ assoc(vietnamkrieg_1_1,vietnam_0) )).++fof(fact_57,axiom,(+ assoc(volvounternehmen_1_1,volvo_0) )).++fof(fact_58,axiom,(+ assoc(wehrkraft_1_1,wehr_1_1) )).++fof(fact_59,axiom,(+ chea(verhalten_1_1,verhalten_1_1_c) )).++fof(fact_60,axiom,(+ chea(verhalten_1_1,verhaltung_1_1) )).++fof(fact_61,axiom,(+ chea(aalen_1_1,r__344keln_2_1) )).++fof(fact_62,axiom,(+ chea(abarbeiten_1_1,abarbeiten_2_1) )).++fof(fact_63,axiom,(+ chea(abarbeiten_1_1,abarbeitung_1_1) )).++fof(fact_64,axiom,(+ chea(abarten_1_1,abartung_1_1) )).++fof(fact_65,axiom,(+ chea(abbeizen_1_1,abbeizen_2_1) )).++fof(fact_66,axiom,(+ chea(abbei__337en_1_1,abbei__337en_2_1) )).++fof(fact_67,axiom,(+ chea(abberufen_1_1,abberufen_2_1) )).++fof(fact_68,axiom,(+ chea(abberufen_1_1,abberufung_1_1) )).++fof(fact_69,axiom,(+ chea(abberufen_1_1,entmachtung_1_1) )).++fof(fact_70,axiom,(+ chea(abbestellen_1_1,abbestellung_1_1) )).++fof(fact_71,axiom,(+ chea(abbezahlen_1_1,abbezahlen_2_1) )).++fof(fact_72,axiom,(+ chea(abbezahlen_1_1,abbezahlung_1_1) )).++fof(fact_73,axiom,(+ chea(abbiegen_1_1,abbiegen_2_1) )).++fof(fact_74,axiom,(+ chea(abbiegen_1_1,einbiege_1_1) )).++fof(fact_75,axiom,(+ chea(abbiegen_1_1,einbiegen_2_1) )).++fof(fact_76,axiom,(+ chea(abbilden_1_1,ab_bildung_1_3) )).++fof(fact_77,axiom,(+ chea(abbilden_1_1,abbilden_2_1) )).++fof(fact_78,axiom,(+ chea(abbinden_1_1,abbinden_2_1) )).++fof(fact_79,axiom,(+ chea(abbinden_1_1,abbindung_1_1) )).++fof(fact_80,axiom,(+ chea(abblasen_1_1,abblasen_2_1) )).++fof(fact_81,axiom,(+ chea(abblassen_1_1,abblassen_2_1) )).++fof(fact_82,axiom,(+ chea(abblenden_1_1,abblenden_2_1) )).++fof(fact_83,axiom,(+ chea(abblenden_1_1,abblendung_1_1) )).++fof(fact_84,axiom,(+ chea(abblitzen_1_1,abblitzen_2_1) )).++fof(fact_85,axiom,(+ chea(abblocken_1_1,abblocken_2_1) )).++fof(fact_86,axiom,(+ chea(abblocken_1_1,abblockung_1_1) )).++fof(fact_87,axiom,(+ chea(abblocken_1_1,abwendung_1_2) )).++fof(fact_88,axiom,(+ chea(abbl__344ttern_1_1,abbl__344ttern_2_1) )).++fof(fact_89,axiom,(+ chea(abbrechen_1_1,abbruch_1_1) )).++fof(fact_90,axiom,(+ chea(abbremsen_1_1,abbremsen_2_1) )).++fof(fact_91,axiom,(+ chea(abbremsen_1_1,abbremsung_1_1) )).++fof(fact_92,axiom,(+ chea(abbreviieren_1_1,abbreviation_1_1) )).++fof(fact_93,axiom,(+ chea(abbreviieren_1_1,kappen_2_1) )).++fof(fact_94,axiom,(+ chea(abbreviieren_1_1,kappung_1_1) )).++fof(fact_95,axiom,(+ chea(abbr__366ckeln_1_1,abbr__366ckeln_2_1) )).++fof(fact_96,axiom,(+ chea(abbr__374hen_1_1,abbr__374hen_2_1) )).++fof(fact_97,axiom,(+ chea(abbuchen_1_1,abbuchen_2_1) )).++fof(fact_98,axiom,(+ chea(abbuchen_1_1,abbuchung_1_1) )).++fof(fact_99,axiom,(+ chea(abb__374rsten_1_1,abb__374rsten_2_1) )).++fof(fact_100,axiom,(+ chea(abdachen_1_1,abdachung_1_1) )).++fof(fact_101,axiom,(+ chea(abdampfen_1_1,abdampfen_2_1) )).++fof(fact_102,axiom,(+ chea(abdampfen_1_1,abdampfung_1_1) )).++fof(fact_103,axiom,(+ chea(abdanken_1_1,abdanken_2_1) )).++fof(fact_104,axiom,(+ chea(abdanken_1_1,abdankung_1_1) )).++fof(fact_105,axiom,(+ chea(abdecken_1_1,abdeckung_1_1) )).++fof(fact_106,axiom,(+ chea(abdecken_1_2,bedecken_2_1) )).++fof(fact_107,axiom,(+ chea(abdecken_1_2,bedeckung_1_1) )).++fof(fact_108,axiom,(+ chea(abdecken_1_2,zudecken_2_1) )).++fof(fact_109,axiom,(+ chea(abdecken_1_2,zudeckung_1_1) )).++fof(fact_110,axiom,(+ chea(abdichten_1_1,abdichten_2_1) )).++fof(fact_111,axiom,(+ chea(abdichten_1_1,abdichtung_1_1) )).++fof(fact_112,axiom,(+ chea(abdichten_1_1,verstopfung_1_1) )).++fof(fact_113,axiom,(+ chea(abdriften_1_1,abdriften_2_1) )).++fof(fact_114,axiom,(+ chea(abdriften_1_1,abortion_1_1) )).++fof(fact_115,axiom,(+ chea(abdriften_1_1,abtreiben_2_1) )).++fof(fact_116,axiom,(+ chea(abdrosseln_1_1,abdrosseln_2_1) )).++fof(fact_117,axiom,(+ chea(abdrucken_1_1,abdrucken_2_1) )).++fof(fact_118,axiom,(+ chea(abdr__344ngen_1_1,abdr__344ngen_2_1) )).++fof(fact_119,axiom,(+ chea(abdr__344ngen_1_1,abdr__344ngung_1_1) )).++fof(fact_120,axiom,(+ chea(abducken_1_1,abducken_2_1) )).++fof(fact_121,axiom,(+ chea(abdunkeln_1_1,abdunkeln_2_1) )).++fof(fact_122,axiom,(+ chea(abd__344mpfen_1_1,abd__344mpfen_2_1) )).++fof(fact_123,axiom,(+ chea(abd__344mpfen_1_1,abd__344mpfung_1_1) )).++fof(fact_124,axiom,(+ chea(abebben_1_1,abebben_2_1) )).++fof(fact_125,axiom,(+ chea(abebben_1_1,abebbung_1_1) )).++fof(fact_126,axiom,(+ chea(abeisen_1_1,abtauen_2_1) )).++fof(fact_127,axiom,(+ chea(abeisen_1_1,enteisen_2_1) )).++fof(fact_128,axiom,(+ chea(abeisen_1_1,enteisung_1_1) )).++fof(fact_129,axiom,(+ chea(aberkennen_1_1,aberkennen_2_1) )).++fof(fact_130,axiom,(+ chea(aberkennen_1_1,aberkennung_1_1) )).++fof(fact_131,axiom,(+ chea(abfackeln_1_1,abfackeln_2_1) )).++fof(fact_132,axiom,(+ chea(abfahren_1_1,abfahrt_1_1) )).++fof(fact_133,axiom,(+ chea(abfasen_1_1,abschr__344gen_2_1) )).++fof(fact_134,axiom,(+ chea(abfasen_1_1,abschr__344gung_1_1) )).++fof(fact_135,axiom,(+ chea(abfasen_1_1,schr__344gung_1_1) )).++fof(fact_136,axiom,(+ chea(abfassen_1_1,abfassen_2_1) )).++fof(fact_137,axiom,(+ chea(abfassen_1_1,abfassung_1_1) )).++fof(fact_138,axiom,(+ chea(abfeilen_1_1,abfeilen_2_1) )).++fof(fact_139,axiom,(+ chea(abfeilen_1_1,abfeilung_1_1) )).++fof(fact_140,axiom,(+ chea(abfeilen_1_1,abschaben_2_1) )).++fof(fact_141,axiom,(+ chea(abfeilen_1_1,schmirgeln_2_1) )).++fof(fact_142,axiom,(+ chea(abfertigen_1_1,abfertigung_1_1) )).++fof(fact_143,axiom,(+ chea(abfeuern_1_1,abfeuern_2_1) )).++fof(fact_144,axiom,(+ chea(abfieren_1_1,abfieren_2_1) )).++fof(fact_145,axiom,(+ chea(abflachen_1_1,abflachen_2_1) )).++fof(fact_146,axiom,(+ chea(abflachen_1_1,abflachung_1_1) )).++fof(fact_147,axiom,(+ chea(abflauen_1_1,abflauen_2_1) )).++fof(fact_148,axiom,(+ chea(abfliegen_1_1,abfahrt_1_1) )).++fof(fact_149,axiom,(+ chea(abfliegen_1_1,abfliegen_2_1) )).++fof(fact_150,axiom,(+ chea(abfliegen_1_1,abflug_1_1) )).++fof(fact_151,axiom,(+ chea(abfliegen_1_1,abreisen_2_1) )).++fof(fact_152,axiom,(+ chea(abfliegen_1_1,wegfliegen_2_1) )).++fof(fact_153,axiom,(+ chea(abflie__337en_1_1,abflie__337en_2_1) )).++fof(fact_154,axiom,(+ chea(abfotografieren_1_1,abfotografieren_2_1) )).++fof(fact_155,axiom,(+ chea(abfragen_1_1,abfragen_2_1) )).++fof(fact_156,axiom,(+ chea(abfragen_1_1,erfragen_2_1) )).++fof(fact_157,axiom,(+ chea(abfragen_1_1,erfragung_1_1) )).++fof(fact_158,axiom,(+ chea(abfressen_1_1,abfressen_2_1) )).++fof(fact_159,axiom,(+ chea(abf__344rben_1_1,abf__344rben_2_1) )).++fof(fact_160,axiom,(+ chea(abf__374hren_1_1,abf__374hrung_1_1) )).++fof(fact_161,axiom,(+ chea(abf__374llen_1_1,abf__374llen_2_1) )).++fof(fact_162,axiom,(+ chea(abf__374llen_1_1,abf__374llung_1_1) )).++fof(fact_163,axiom,(+ chea(abf__374llen_1_1,eingie__337en_2_1) )).++fof(fact_164,axiom,(+ chea(abf__374llen_1_1,eingie__337ung_1_1) )).++fof(fact_165,axiom,(+ chea(abgehen_2_1,gabelung_1_1) )).++fof(fact_166,axiom,(+ chea(abgehen_2_1,verzweigen_2_1) )).++fof(fact_167,axiom,(+ chea(abgelten_1_1,abgelten_2_1) )).++fof(fact_168,axiom,(+ chea(abgelten_1_1,abgeltung_1_1) )).++fof(fact_169,axiom,(+ chea(abgew__366hnen_1_1,abgew__366hnen_2_1) )).++fof(fact_170,axiom,(+ chea(abgew__366hnen_1_1,abgew__366hnung_1_1) )).++fof(fact_171,axiom,(+ chea(abgie__337en_1_1,abgie__337en_2_1) )).++fof(fact_172,axiom,(+ chea(abgleichen_1_1,abgleichen_2_1) )).++fof(fact_173,axiom,(+ chea(abgleichen_1_1,abgleichung_1_1) )).++fof(fact_174,axiom,(+ chea(abgleiten_1_1,abgleiten_2_1) )).++fof(fact_175,axiom,(+ chea(abgraben_1_1,abgrabung_1_1) )).++fof(fact_176,axiom,(+ chea(abgreifen_1_1,abgreifen_2_1) )).++fof(fact_177,axiom,(+ chea(abgucken_1_1,abgucken_2_1) )).++fof(fact_178,axiom,(+ chea(abgucken_1_1,mogeln_2_1) )).++fof(fact_179,axiom,(+ chea(abgucken_1_1,schummeln_2_1) )).++fof(fact_180,axiom,(+ chea(abgucken_1_1,tricksen_2_1) )).++fof(fact_181,axiom,(+ chea(abhacken_1_1,abhacken_2_1) )).++fof(fact_182,axiom,(+ chea(abhalten_2_1,abhaltung_1_1) )).++fof(fact_183,axiom,(+ chea(abhandenkommen_1_1,abhandenkommen_2_1) )).++fof(fact_184,axiom,(+ chea(abhauen_2_1,losschlagen_2_1) )).++fof(fact_185,axiom,(+ chea(abheften_1_1,abheften_2_1) )).++fof(fact_186,axiom,(+ chea(abholen_1_1,abfuhr_1_1) )).++fof(fact_187,axiom,(+ chea(abholen_1_1,abholen_2_1) )).++fof(fact_188,axiom,(+ chea(abholzen_1_1,abholzen_2_1) )).++fof(fact_189,axiom,(+ chea(abholzen_1_1,abholzung_1_1) )).++fof(fact_190,axiom,(+ chea(abhorchen_1_1,abhorchen_2_1) )).++fof(fact_191,axiom,(+ chea(abh__344rten_1_1,abh__344rten_2_1) )).++fof(fact_192,axiom,(+ chea(abh__344rten_1_1,abh__344rtung_1_1) )).++fof(fact_193,axiom,(+ chea(abirren_1_1,abirren_2_1) )).++fof(fact_194,axiom,(+ chea(abirren_1_1,abirrung_1_1) )).++fof(fact_195,axiom,(+ chea(abjagen_1_1,abjagen_2_1) )).++fof(fact_196,axiom,(+ chea(abkanzeln_1_1,abkanzeln_2_1) )).++fof(fact_197,axiom,(+ chea(abkanzeln_1_1,abkanzelung_1_1) )).++fof(fact_198,axiom,(+ chea(abkapseln_1_1,abkapseln_2_1) )).++fof(fact_199,axiom,(+ chea(abkapseln_1_1,abkapselung_1_1) )).++fof(fact_200,axiom,(+ chea(abkapseln_1_1,separieren_2_1) )).++fof(fact_201,axiom,(+ chea(abkapseln_1_1,separierung_1_1) )).++fof(fact_202,axiom,(+ chea(abkassieren_1_1,abkassieren_2_1) )).++fof(fact_203,axiom,(+ chea(abkehren_1_1,abkehren_2_1) )).++fof(fact_204,axiom,(+ chea(abkehren_1_1,abkehrung_1_1) )).++fof(fact_205,axiom,(+ chea(abkippen_1_1,abkippen_2_1) )).++fof(fact_206,axiom,(+ chea(abklappern_1_1,absuchen_2_1) )).++fof(fact_207,axiom,(+ chea(abklatschen_1_1,abklatschen_2_1) )).++fof(fact_208,axiom,(+ chea(abklatschen_1_1,abklatschung_1_1) )).++fof(fact_209,axiom,(+ chea(abklemmen_1_1,abklemmen_2_1) )).++fof(fact_210,axiom,(+ chea(abklemmen_1_1,abklemmung_1_1) )).++fof(fact_211,axiom,(+ chea(abklingen_1_1,abklingen_2_1) )).++fof(fact_212,axiom,(+ chea(abklopfen_1_1,abklopfen_2_1) )).++fof(fact_213,axiom,(+ chea(abkl__344ren_1_1,abkl__344ren_2_1) )).++fof(fact_214,axiom,(+ chea(abkl__344ren_1_1,abkl__344rung_1_1) )).++fof(fact_215,axiom,(+ chea(abknallen_1_1,abknallen_2_1) )).++fof(fact_216,axiom,(+ chea(abknallen_1_1,erschie__337en_2_1) )).++fof(fact_217,axiom,(+ chea(abknallen_1_1,erschie__337ung_1_1) )).++fof(fact_218,axiom,(+ chea(abknallen_1_1,totschie__337en_2_1) )).++fof(fact_219,axiom,(+ chea(abknicken_1_1,abknicken_2_1) )).++fof(fact_220,axiom,(+ chea(abknicken_1_1,abknickung_1_1) )).++fof(fact_221,axiom,(+ chea(abkn__366pfen_1_1,abr__344umen_2_1) )).++fof(fact_222,axiom,(+ chea(abkn__366pfen_1_1,abr__344umung_1_1) )).++fof(fact_223,axiom,(+ chea(abkochen_1_1,abkochen_2_1) )).++fof(fact_224,axiom,(+ chea(abkochen_1_1,abkochung_1_1) )).++fof(fact_225,axiom,(+ chea(abkommandieren_1_1,abkommandieren_2_1) )).++fof(fact_226,axiom,(+ chea(abkommandieren_1_1,abkommandierung_1_1) )).++fof(fact_227,axiom,(+ chea(abkoppeln_1_1,abkoppeln_2_1) )).++fof(fact_228,axiom,(+ chea(abkratzen_1_1,abkratzen_2_1) )).++fof(fact_229,axiom,(+ chea(abkupfern_1_1,abkupfern_2_1) )).++fof(fact_230,axiom,(+ chea(abkupfern_1_1,falsifikat_1_1) )).++fof(fact_231,axiom,(+ chea(abkupfern_1_1,imitieren_2_1) )).++fof(fact_232,axiom,(+ chea(abkupfern_1_1,imitierung_1_1) )).++fof(fact_233,axiom,(+ chea(abkupfern_1_1,nachahmen_2_1) )).++fof(fact_234,axiom,(+ chea(abkupfern_1_1,nachahmung_1_1) )).++fof(fact_235,axiom,(+ chea(abk__344mmen_1_1,abk__344mmen_2_1) )).++fof(fact_236,axiom,(+ chea(abk__374hlen_1_1,abk__374hlen_2_1) )).++fof(fact_237,axiom,(+ chea(abk__374hlen_1_1,abk__374hlung_1_1) )).++fof(fact_238,axiom,(+ chea(abk__374ndigen_1_1,abgesang_1_1) )).++fof(fact_239,axiom,(+ chea(abladen_1_1,abladen_2_1) )).++fof(fact_240,axiom,(+ chea(abladen_1_1,abladung_1_1) )).++fof(fact_241,axiom,(+ chea(abladen_1_1,fallenlassen_2_1) )).++fof(fact_242,axiom,(+ chea(ablagern_1_1,hinterlegen_2_1) )).++fof(fact_243,axiom,(+ chea(ablagern_1_1,hinterlegung_1_1) )).++fof(fact_244,axiom,(+ chea(ableben_1_1,ableben_2_1) )).++fof(fact_245,axiom,(+ chea(ablecken_1_1,ablecken_2_1) )).++fof(fact_246,axiom,(+ chea(ablehnen_1_1,ablehnung_1_1) )).++fof(fact_247,axiom,(+ chea(ablehnen_1_2,abweisen_2_1) )).++fof(fact_248,axiom,(+ chea(ablehnen_1_2,abweisung_1_1) )).++fof(fact_249,axiom,(+ chea(ablehnen_1_2,r__374ckgliederung_1_1) )).++fof(fact_250,axiom,(+ chea(ablehnen_1_2,zur__374ckweisen_2_1) )).++fof(fact_251,axiom,(+ chea(ableisten_1_1,ableisten_2_1) )).++fof(fact_252,axiom,(+ chea(ableisten_1_1,ableistung_1_1) )).++fof(fact_253,axiom,(+ chea(ableiten_1_1,ableitung_1_1) )).++fof(fact_254,axiom,(+ chea(ablenken_1_1,ablenkung_1_1) )).++fof(fact_255,axiom,(+ chea(ableugnen_1_1,ableugnung_1_1) )).++fof(fact_256,axiom,(+ chea(ableugnen_1_1,leugnen_2_1) )).++fof(fact_257,axiom,(+ chea(ableugnen_1_1,leugnung_1_1) )).++fof(fact_258,axiom,(+ chea(ablichten_1_1,ablichten_2_1) )).++fof(fact_259,axiom,(+ chea(ablichten_1_1,ablichtung_1_1) )).++fof(fact_260,axiom,(+ chea(abliefern_1_1,ablieferung_1_1) )).++fof(fact_261,axiom,(+ chea(abliegen_1_1,abliegen_2_1) )).++fof(fact_262,axiom,(+ chea(abl__366schen_1_1,abl__366schen_2_1) )).++fof(fact_263,axiom,(+ chea(abl__366schen_1_1,aufgie__337en_2_1) )).++fof(fact_264,axiom,(+ chea(abl__366sen_1_1,abl__366sung_1_3) )).++fof(fact_265,axiom,(+ chea(abl__366sen_1_2,abl__366sung_1_1) )).++fof(fact_266,axiom,(+ chea(abl__366sen_1_3,abl__366sung_1_4) )).++fof(fact_267,axiom,(+ chea(abmachen_1_1,abmachung_1_1) )).++fof(fact_268,axiom,(+ chea(abmagern_1_1,abmagerung_1_1) )).++fof(fact_269,axiom,(+ chea(abmahnen_1_1,abmahnen_2_1) )).++fof(fact_270,axiom,(+ chea(abmahnen_1_1,abmahnung_1_1) )).++fof(fact_271,axiom,(+ chea(abmalen_1_1,abmalen_2_1) )).++fof(fact_272,axiom,(+ chea(abmarken_1_1,abmarkung_1_1) )).++fof(fact_273,axiom,(+ chea(abmelden_1_1,abmeldung_1_1) )).++fof(fact_274,axiom,(+ chea(abmelden_1_2,abmeldung_1_2) )).++fof(fact_275,axiom,(+ chea(abmessen_1_1,abmessen_2_1) )).++fof(fact_276,axiom,(+ chea(abmessen_1_1,abmessung_1_1) )).++fof(fact_277,axiom,(+ chea(abmessen_1_1,vermessung_1_1) )).++fof(fact_278,axiom,(+ chea(abmontieren_1_1,abmontieren_2_1) )).++fof(fact_279,axiom,(+ chea(abmurksen_1_1,ermorden_2_1) )).++fof(fact_280,axiom,(+ chea(abmurksen_1_1,ermordung_1_1) )).++fof(fact_281,axiom,(+ chea(abmurksen_1_1,morden_2_1) )).++fof(fact_282,axiom,(+ chea(abmurksen_1_1,toetung_1_1) )).++fof(fact_283,axiom,(+ chea(abmurksen_1_1,umbringen_2_1) )).++fof(fact_284,axiom,(+ chea(abm__374hen_1_1,m__374hen_2_1) )).++fof(fact_285,axiom,(+ chea(abnagen_1_1,abnagen_2_1) )).++fof(fact_286,axiom,(+ chea(abneigen_1_1,a_version_1_1) )).++fof(fact_287,axiom,(+ chea(abnibbeln_1_1,krepieren_2_1) )).++fof(fact_288,axiom,(+ chea(abnutzen_1_1,abnutzen_2_1) )).++fof(fact_289,axiom,(+ chea(abnutzen_1_1,abnutzung_1_1) )).++fof(fact_290,axiom,(+ chea(abn__374tzen_1_1,abn__374tzung_1_1) )).++fof(fact_291,axiom,(+ chea(abonnieren_1_1,abonnieren_2_1) )).++fof(fact_292,axiom,(+ chea(abonnieren_1_1,subskribieren_2_1) )).++fof(fact_293,axiom,(+ chea(abordnen_1_1,abordnen_2_1) )).++fof(fact_294,axiom,(+ chea(abordnen_1_1,entsenden_2_1) )).++fof(fact_295,axiom,(+ chea(abordnen_1_1,entsendung_1_1) )).++fof(fact_296,axiom,(+ chea(abpacken_1_1,abpacken_2_1) )).++fof(fact_297,axiom,(+ chea(abpacken_1_1,abpackung_1_1) )).++fof(fact_298,axiom,(+ chea(abpausen_1_1,abpausen_2_1) )).++fof(fact_299,axiom,(+ chea(abpausen_1_1,pausen_2_1) )).++fof(fact_300,axiom,(+ chea(abperlen_1_1,abperlen_2_1) )).++fof(fact_301,axiom,(+ chea(abpfl__374cken_1_1,abpfl__374cken_2_1) )).++fof(fact_302,axiom,(+ chea(abpfl__374cken_1_1,pfl__374cken_2_1) )).++fof(fact_303,axiom,(+ chea(abplatten_1_1,abplattung_1_1) )).++fof(fact_304,axiom,(+ chea(abprallen_1_1,abprallen_2_1) )).++fof(fact_305,axiom,(+ chea(abprallen_1_1,zur__374ckprallen_2_1) )).++fof(fact_306,axiom,(+ chea(abpressen_1_1,abpressen_2_1) )).++fof(fact_307,axiom,(+ chea(abprotzen_1_1,abprotzen_2_1) )).++fof(fact_308,axiom,(+ chea(abqualifizieren_1_1,abqualifizierung_1_1) )).++fof(fact_309,axiom,(+ chea(abrasieren_1_1,abrasieren_2_1) )).++fof(fact_310,axiom,(+ chea(abraten_1_1,abraten_2_1) )).++fof(fact_311,axiom,(+ chea(abreagieren_1_1,abreagieren_2_1) )).++fof(fact_312,axiom,(+ chea(abrechnen_1_3,abrechnung_1_3) )).++fof(fact_313,axiom,(+ chea(abregen_1_1,abregung_1_1) )).++fof(fact_314,axiom,(+ chea(abreiben_1_1,abreiben_2_1) )).++fof(fact_315,axiom,(+ chea(abreiben_1_1,abreibung_1_1) )).++fof(fact_316,axiom,(+ chea(abreiten_1_1,abreiten_2_1) )).++fof(fact_317,axiom,(+ chea(abrei__337en_1_1,abrei__337en_2_1) )).++fof(fact_318,axiom,(+ chea(abrei__337en_1_1,wegrei__337en_2_1) )).++fof(fact_319,axiom,(+ chea(abrichten_1_1,abrichten_2_1) )).++fof(fact_320,axiom,(+ chea(abrichten_1_1,abrichtung_1_1) )).++fof(fact_321,axiom,(+ chea(abriegeln_1_1,abriegeln_2_1) )).++fof(fact_322,axiom,(+ chea(abriegeln_1_1,abriegelung_1_1) )).++fof(fact_323,axiom,(+ chea(abriegeln_1_1,abrieglung_1_1) )).++fof(fact_324,axiom,(+ chea(abriegeln_1_1,absperren_2_1) )).++fof(fact_325,axiom,(+ chea(abriegeln_1_1,absperrung_1_1) )).++fof(fact_326,axiom,(+ chea(abrollen_1_1,abrollen_2_1) )).++fof(fact_327,axiom,(+ chea(abrollen_1_1,abrollung_1_1) )).++fof(fact_328,axiom,(+ chea(abrufen_1_1,abrufen_2_1) )).++fof(fact_329,axiom,(+ chea(abrufen_1_1,abrufung_1_1) )).++fof(fact_330,axiom,(+ chea(abrunden_1_1,abrunden_2_1) )).++fof(fact_331,axiom,(+ chea(abrunden_1_1,abrundung_1_1) )).++fof(fact_332,axiom,(+ chea(abrupfen_1_1,abrupfen_2_1) )).++fof(fact_333,axiom,(+ chea(abrutschen_1_1,abrutschen_2_1) )).++fof(fact_334,axiom,(+ chea(abr__374sten_1_1,abruestung_1_1) )).++fof(fact_335,axiom,(+ chea(abr__374sten_1_1,abr__374sten_2_1) )).++fof(fact_336,axiom,(+ chea(absagen_1_2,abschw__366ren_2_1) )).++fof(fact_337,axiom,(+ chea(absagen_1_2,abschw__366rung_1_1) )).++fof(fact_338,axiom,(+ chea(absagen_1_2,entsagen_2_1) )).++fof(fact_339,axiom,(+ chea(absagen_1_2,entsagung_1_1) )).++fof(fact_340,axiom,(+ chea(absahnen_1_1,absahnen_2_1) )).++fof(fact_341,axiom,(+ chea(absaufen_1_1,absaufen_2_1) )).++fof(fact_342,axiom,(+ chea(absaugen_1_1,absaugen_2_1) )).++fof(fact_343,axiom,(+ chea(absaugen_1_1,absaugung_1_1) )).++fof(fact_344,axiom,(+ chea(absaugen_1_1,auspumpen_2_1) )).++fof(fact_345,axiom,(+ chea(abschaffen_1_1,abschaffen_2_1) )).++fof(fact_346,axiom,(+ chea(abschalten_1_1,abschalten_2_1) )).++fof(fact_347,axiom,(+ chea(abschatten_1_1,abschattung_1_1) )).++fof(fact_348,axiom,(+ chea(abschattieren_1_1,abschattieren_2_1) )).++fof(fact_349,axiom,(+ chea(abschattieren_1_1,abschattierung_1_1) )).++fof(fact_350,axiom,(+ chea(abschattieren_1_1,abstufung_1_1) )).++fof(fact_351,axiom,(+ chea(abschattieren_1_1,schattieren_2_1) )).++fof(fact_352,axiom,(+ chea(abschauen_1_1,abschauen_2_1) )).++fof(fact_353,axiom,(+ chea(abscheiden_1_1,abscheiden_2_1) )).++fof(fact_354,axiom,(+ chea(abscheiden_1_1,abscheidung_1_1) )).++fof(fact_355,axiom,(+ chea(abscheren_1_1,abscheren_2_1) )).++fof(fact_356,axiom,(+ chea(abscheren_1_1,abscherung_1_1) )).++fof(fact_357,axiom,(+ chea(abschicken_1_1,abschicken_2_1) )).++fof(fact_358,axiom,(+ chea(abschieben_1_1,abschiebung_1_1) )).++fof(fact_359,axiom,(+ chea(abschieben_1_1,aussiedeln_2_1) )).++fof(fact_360,axiom,(+ chea(abschieben_1_1,expatriierung_1_1) )).++fof(fact_361,axiom,(+ chea(abschie__337en_1_1,abschie__337en_2_1) )).++fof(fact_362,axiom,(+ chea(abschirmen_1_1,abschirmung_1_1) )).++fof(fact_363,axiom,(+ chea(abschirren_1_1,abschirren_2_1) )).++fof(fact_364,axiom,(+ chea(abschlachten_1_1,abschlachten_2_1) )).++fof(fact_365,axiom,(+ chea(abschlachten_1_1,massakrieren_2_1) )).++fof(fact_366,axiom,(+ chea(abschlachten_1_1,massakrierung_1_1) )).++fof(fact_367,axiom,(+ chea(abschlaffen_1_1,abschlaffen_2_1) )).++fof(fact_368,axiom,(+ chea(abschlaffen_1_1,entkr__344ftung_1_1) )).++fof(fact_369,axiom,(+ chea(abschlaffen_1_1,erschlaffen_2_1) )).++fof(fact_370,axiom,(+ chea(abschleifen_1_1,abschleifen_2_1) )).++fof(fact_371,axiom,(+ chea(abschleifen_1_1,abschleifung_1_1) )).++fof(fact_372,axiom,(+ chea(abschleppen_1_1,abschleppen_2_1) )).++fof(fact_373,axiom,(+ chea(abschleppen_1_1,abschleppung_1_1) )).++fof(fact_374,axiom,(+ chea(abschl__344mmen_1_1,abschl__344mmen_2_1) )).++fof(fact_375,axiom,(+ chea(abschmecken_1_1,abschmecken_2_1) )).++fof(fact_376,axiom,(+ chea(abschmelzen_1_1,abschmelzen_2_1) )).++fof(fact_377,axiom,(+ chea(abschmelzen_1_1,abschmelzung_1_1) )).++fof(fact_378,axiom,(+ chea(abschmieren_1_1,abschmieren_2_1) )).++fof(fact_379,axiom,(+ chea(abschminken_1_1,abschminken_2_1) )).++fof(fact_380,axiom,(+ chea(abschneiden_1_1,abschneiden_2_2) )).++fof(fact_381,axiom,(+ chea(abschn__374ren_1_1,abschn__374ren_2_1) )).++fof(fact_382,axiom,(+ chea(abschn__374ren_1_1,abschn__374rung_1_1) )).++fof(fact_383,axiom,(+ chea(abschotten_1_1,abschotten_2_1) )).++fof(fact_384,axiom,(+ chea(abschrauben_1_1,abschrauben_2_1) )).++fof(fact_385,axiom,(+ chea(abschrauben_1_1,aufschrauben_2_1) )).++fof(fact_386,axiom,(+ chea(abschrauben_1_1,aufschraubung_1_1) )).++fof(fact_387,axiom,(+ chea(abschrecken_1_1,abschreckung_1_1) )).++fof(fact_388,axiom,(+ chea(abschuppen_1_1,abschuppung_1_1) )).++fof(fact_389,axiom,(+ chea(abschuppen_1_1,schuppung_1_1) )).++fof(fact_390,axiom,(+ chea(abschweifen_1_1,abschweifen_2_1) )).++fof(fact_391,axiom,(+ chea(abschweifen_1_1,abschweifung_1_1) )).++fof(fact_392,axiom,(+ chea(abschwellen_1_1,abschwellen_2_1) )).++fof(fact_393,axiom,(+ chea(abschwellen_1_1,abschwellung_1_1) )).++fof(fact_394,axiom,(+ chea(abschwemmen_1_1,abschwemmen_2_1) )).++fof(fact_395,axiom,(+ chea(abschwemmen_1_1,abschwemmung_1_1) )).++fof(fact_396,axiom,(+ chea(abschwenken_1_1,abschwenken_2_1) )).++fof(fact_397,axiom,(+ chea(abschwingen_1_1,abschwingen_2_1) )).++fof(fact_398,axiom,(+ chea(abschw__344chen_1_1,abschw__344chung_1_1) )).++fof(fact_399,axiom,(+ chea(abschw__344chen_1_2,abschw__344chung_1_2) )).++fof(fact_400,axiom,(+ chea(absch__344tzen_1_1,absch__344tzen_2_1) )).++fof(fact_401,axiom,(+ chea(absch__344tzen_1_1,absch__344tzung_1_1) )).++fof(fact_402,axiom,(+ chea(absch__366pfen_1_1,absch__366pfen_2_1) )).++fof(fact_403,axiom,(+ chea(absch__366pfen_1_1,absch__366pfung_1_1) )).++fof(fact_404,axiom,(+ chea(absch__374rfen_1_1,absch__374rfung_1_1) )).++fof(fact_405,axiom,(+ chea(absch__374tten_1_1,absch__374tten_2_1) )).++fof(fact_406,axiom,(+ chea(absegnen_1_1,absegnen_2_1) )).++fof(fact_407,axiom,(+ chea(absegnen_1_1,absegnung_1_1) )).++fof(fact_408,axiom,(+ chea(absehen_2_1,abzielen_2_1) )).++fof(fact_409,axiom,(+ chea(abseilen_1_1,abseilen_2_1) )).++fof(fact_410,axiom,(+ chea(absenden_1_1,abschicken_2_1) )).++fof(fact_411,axiom,(+ chea(absenden_1_1,absenden_2_1) )).++fof(fact_412,axiom,(+ chea(absenken_1_1,absenken_2_1) )).++fof(fact_413,axiom,(+ chea(absenken_1_1,absenkung_1_1) )).++fof(fact_414,axiom,(+ chea(absenken_1_1,herunterlassen_2_1) )).++fof(fact_415,axiom,(+ chea(abserbeln_1_1,dahinsiechen_2_1) )).++fof(fact_416,axiom,(+ chea(abservieren_1_1,abservieren_2_1) )).++fof(fact_417,axiom,(+ chea(abservieren_1_1,abservierung_1_1) )).++fof(fact_418,axiom,(+ chea(absetzen_1_3,absetzen_2_1) )).++fof(fact_419,axiom,(+ chea(absichern_1_2,absicherung_1_1) )).++fof(fact_420,axiom,(+ chea(absingen_1_1,absingen_2_1) )).++fof(fact_421,axiom,(+ chea(absingen_1_1,absingung_1_1) )).++fof(fact_422,axiom,(+ chea(absinken_1_1,absinken_2_1) )).++fof(fact_423,axiom,(+ chea(absinken_1_1,niedergehen_2_1) )).++fof(fact_424,axiom,(+ chea(absitzen_1_1,absitzen_2_1) )).++fof(fact_425,axiom,(+ chea(absitzen_1_1,einsitzen_2_1) )).++fof(fact_426,axiom,(+ chea(absolvieren_1_1,absolvieren_2_1) )).++fof(fact_427,axiom,(+ chea(absolvieren_1_1,absolvierung_1_1) )).++fof(fact_428,axiom,(+ chea(absondern_1_1,absonderung_1_1) )).++fof(fact_429,axiom,(+ chea(absorbieren_1_1,absorbation_1_1) )).++fof(fact_430,axiom,(+ chea(absorbieren_1_1,absorbieren_2_1) )).++fof(fact_431,axiom,(+ chea(absorbieren_1_1,absorbierung_1_1) )).++fof(fact_432,axiom,(+ chea(abspalten_1_1,abspalten_2_1) )).++fof(fact_433,axiom,(+ chea(abspalten_1_1,abspaltung_1_1) )).++fof(fact_434,axiom,(+ chea(abspannen_1_1,abgespanntheit_1_1) )).++fof(fact_435,axiom,(+ chea(abspannen_1_1,abspannen_2_1) )).++fof(fact_436,axiom,(+ chea(abspannen_1_1,verschnaufen_2_1) )).++fof(fact_437,axiom,(+ chea(abspecken_1_1,abspecken_2_1) )).++fof(fact_438,axiom,(+ chea(abspecken_1_1,abspeckung_1_1) )).++fof(fact_439,axiom,(+ chea(abspeichern_1_1,abspeichern_2_1) )).++fof(fact_440,axiom,(+ chea(absplittern_1_1,zerbr__366ckeln_2_1) )).++fof(fact_441,axiom,(+ chea(abspulen_1_1,abspulen_2_1) )).++fof(fact_442,axiom,(+ chea(absp__374len_1_1,absp__374len_2_1) )).++fof(fact_443,axiom,(+ chea(absp__374len_1_1,absp__374lung_1_1) )).++fof(fact_444,axiom,(+ chea(abstammen_1_1,ab_stammung_1_1) )).++fof(fact_445,axiom,(+ chea(abstauben_1_1,abstauben_2_1) )).++fof(fact_446,axiom,(+ chea(abstechen_1_1,abstechen_2_1) )).++fof(fact_447,axiom,(+ chea(abstechen_1_1,erdolchen_2_1) )).++fof(fact_448,axiom,(+ chea(abstechen_1_1,erstechen_2_1) )).++fof(fact_449,axiom,(+ chea(abstechen_1_1,erstechung_1_1) )).++fof(fact_450,axiom,(+ chea(abstecken_1_1,abstecken_2_1) )).++fof(fact_451,axiom,(+ chea(abstecken_1_1,absteckung_1_1) )).++fof(fact_452,axiom,(+ chea(abstecken_1_1,demarkation_1_1) )).++fof(fact_453,axiom,(+ chea(abstecken_1_1,demarkierung_1_1) )).++fof(fact_454,axiom,(+ chea(abstehen_1_1,abstehen_2_1) )).++fof(fact_455,axiom,(+ chea(absteifen_1_1,absteifen_2_1) )).++fof(fact_456,axiom,(+ chea(abstempeln_1_1,abstempelung_1_1) )).++fof(fact_457,axiom,(+ chea(abstempeln_1_1,abwertung_1_1) )).++fof(fact_458,axiom,(+ chea(abstempeln_1_1,entwerten_2_1) )).++fof(fact_459,axiom,(+ chea(abstempeln_1_2,abstempelung_1_2) )).++fof(fact_460,axiom,(+ chea(absterben_1_1,absterben_2_1) )).++fof(fact_461,axiom,(+ chea(abstillen_1_1,abgew__366hnung_1_1) )).++fof(fact_462,axiom,(+ chea(abstillen_1_1,abstillen_2_1) )).++fof(fact_463,axiom,(+ chea(abstillen_1_1,entw__366hnen_2_1) )).++fof(fact_464,axiom,(+ chea(abstimmen_1_2,abstimmung_1_2) )).++fof(fact_465,axiom,(+ chea(abstoppen_1_1,abstoppen_2_1) )).++fof(fact_466,axiom,(+ chea(abstottern_1_1,abbezahlung_1_1) )).++fof(fact_467,axiom,(+ chea(absto__337en_1_1,absto__337ung_1_1) )).++fof(fact_468,axiom,(+ chea(abstrafen_1_1,abstrafen_2_1) )).++fof(fact_469,axiom,(+ chea(abstrafen_1_1,abstrafung_1_1) )).++fof(fact_470,axiom,(+ chea(abstrahieren_1_1,abstrahieren_2_1) )).++fof(fact_471,axiom,(+ chea(abstrahieren_1_1,abstrahierung_1_1) )).++fof(fact_472,axiom,(+ chea(abstrahieren_1_1,abstraktion_1_1) )).++fof(fact_473,axiom,(+ chea(abstrahieren_1_1,generalisation_1_1) )).++fof(fact_474,axiom,(+ chea(abstrahlen_1_1,abstrahlen_2_1) )).++fof(fact_475,axiom,(+ chea(abstrahlen_1_1,abstrahlung_1_1) )).++fof(fact_476,axiom,(+ chea(abstreichen_1_1,abstreichen_2_1) )).++fof(fact_477,axiom,(+ chea(abstufen_1_1,abstufen_2_1) )).++fof(fact_478,axiom,(+ chea(abstufen_1_1,abstufung_1_1) )).++fof(fact_479,axiom,(+ chea(abstufen_1_1,gradation_1_1) )).++fof(fact_480,axiom,(+ chea(abstufen_1_1,gradieren_2_1) )).++fof(fact_481,axiom,(+ chea(abstufen_1_1,gradierung_1_1) )).++fof(fact_482,axiom,(+ chea(abstufen_1_1,stufen_2_1) )).++fof(fact_483,axiom,(+ chea(abstufen_1_1,stufung_1_1) )).++fof(fact_484,axiom,(+ chea(abstumpfen_1_1,abgestumpftheit_1_1) )).++fof(fact_485,axiom,(+ chea(abstumpfen_1_1,abstumpfen_2_1) )).++fof(fact_486,axiom,(+ chea(abst__374tzen_1_1,abst__374tzen_2_1) )).++fof(fact_487,axiom,(+ chea(abst__374tzen_1_1,abst__374tzung_1_1) )).++fof(fact_488,axiom,(+ chea(abs__344gen_1_1,abs__344gen_2_1) )).++fof(fact_489,axiom,(+ chea(abtakeln_1_1,abtakeln_2_1) )).++fof(fact_490,axiom,(+ chea(abtasten_1_1,abtasten_2_1) )).++fof(fact_491,axiom,(+ chea(abtasten_1_1,abtastung_1_1) )).++fof(fact_492,axiom,(+ chea(abtauchen_1_1,abtauchen_2_1) )).++fof(fact_493,axiom,(+ chea(abteilen_1_1,abteilen_2_1) )).++fof(fact_494,axiom,(+ chea(abteufen_1_1,abteufen_2_1) )).++fof(fact_495,axiom,(+ chea(abteufen_1_1,abteufung_1_1) )).++fof(fact_496,axiom,(+ chea(abteufen_1_1,teufen_2_1) )).++fof(fact_497,axiom,(+ chea(abteufen_1_1,teufung_1_1) )).++fof(fact_498,axiom,(+ chea(abtippen_1_1,abtippen_2_1) )).++fof(fact_499,axiom,(+ chea(abtragen_1_1,abtragen_2_1) )).++fof(fact_500,axiom,(+ chea(abtragen_1_1,abtragung_1_1) )).++fof(fact_501,axiom,(+ chea(abtransportieren_1_1,abtransportieren_2_1) )).++fof(fact_502,axiom,(+ chea(abtransportieren_1_1,deportation_1_1) )).++fof(fact_503,axiom,(+ chea(abtransportieren_1_1,deportierung_1_1) )).++fof(fact_504,axiom,(+ chea(abtrennen_1_1,abtrennen_2_1) )).++fof(fact_505,axiom,(+ chea(abtrennen_1_1,abtrennung_1_1) )).++fof(fact_506,axiom,(+ chea(abtreten_1_1,abtretung_1_1) )).++fof(fact_507,axiom,(+ chea(abtrocknen_1_1,abtrocknen_2_1) )).++fof(fact_508,axiom,(+ chea(abtrocknen_1_1,abtrocknung_1_1) )).++fof(fact_509,axiom,(+ chea(abtropfen_1_1,abtropfen_2_1) )).++fof(fact_510,axiom,(+ chea(abtropfen_1_1,abtropfung_1_1) )).++fof(fact_511,axiom,(+ chea(abtun_1_1,abwinken_2_1) )).++fof(fact_512,axiom,(+ chea(abtupfen_1_1,abtupfen_2_1) )).++fof(fact_513,axiom,(+ chea(abtupfen_1_1,tupfung_1_1) )).++fof(fact_514,axiom,(+ chea(abt__366nen_1_1,abstufung_1_1) )).++fof(fact_515,axiom,(+ chea(abt__366nen_1_1,abt__366nen_2_1) )).++fof(fact_516,axiom,(+ chea(abt__366ten_1_1,abt__366tung_1_1) )).++fof(fact_517,axiom,(+ chea(aburteilen_1_1,aburteilen_2_1) )).++fof(fact_518,axiom,(+ chea(aburteilen_1_1,aburteilung_1_1) )).++fof(fact_519,axiom,(+ chea(abwandern_1_1,abwandern_2_1) )).++fof(fact_520,axiom,(+ chea(abwandern_1_1,abwanderung_1_1) )).++fof(fact_521,axiom,(+ chea(abwarten_1_1,abwarten_2_1) )).++fof(fact_522,axiom,(+ chea(abwaschen_1_1,abwasch_1_1) )).++fof(fact_523,axiom,(+ chea(abwaschen_1_1,abwaschen_2_1) )).++fof(fact_524,axiom,(+ chea(abwaschen_1_1,abwaschung_1_1) )).++fof(fact_525,axiom,(+ chea(abwehren_1_1,abwehren_2_1) )).++fof(fact_526,axiom,(+ chea(abwehren_1_1,abwehrung_1_1) )).++fof(fact_527,axiom,(+ chea(abweichen_1_1,abweichung_1_1) )).++fof(fact_528,axiom,(+ chea(abweiden_1_1,abweiden_2_1) )).++fof(fact_529,axiom,(+ chea(abweiden_1_1,abweidung_1_1) )).++fof(fact_530,axiom,(+ chea(abwenden_1_1,abwendung_1_1) )).++fof(fact_531,axiom,(+ chea(abwerben_1_1,abwerben_2_1) )).++fof(fact_532,axiom,(+ chea(abwerben_1_1,abwerbung_1_1) )).++fof(fact_533,axiom,(+ chea(abwerten_1_1,abwerten_2_1) )).++fof(fact_534,axiom,(+ chea(abwerten_1_1,abwertung_1_1) )).++fof(fact_535,axiom,(+ chea(abwetzen_1_1,abwetzen_2_1) )).++fof(fact_536,axiom,(+ chea(abwickeln_1_2,abwicklung_1_1) )).++fof(fact_537,axiom,(+ chea(abwiegeln_1_1,abwiegeln_2_1) )).++fof(fact_538,axiom,(+ chea(abwiegen_1_1,abwiegen_2_1) )).++fof(fact_539,axiom,(+ chea(abwiegen_1_1,abwiegung_1_1) )).++fof(fact_540,axiom,(+ chea(abwiegen_1_1,auswiegen_2_1) )).++fof(fact_541,axiom,(+ chea(abwiegen_1_1,einwiegen_2_1) )).++fof(fact_542,axiom,(+ chea(abwimmeln_1_1,abwimmeln_2_1) )).++fof(fact_543,axiom,(+ chea(abwischen_1_1,abwischen_2_1) )).++fof(fact_544,axiom,(+ chea(abwracken_1_1,abwracken_2_1) )).++fof(fact_545,axiom,(+ chea(abwracken_1_1,abwrackung_1_1) )).++fof(fact_546,axiom,(+ chea(abw__344gen_1_1,abw__344gen_2_1) )).++fof(fact_547,axiom,(+ chea(abw__344gen_1_1,abw__344gung_1_1) )).++fof(fact_548,axiom,(+ chea(abw__344lzen_1_1,abw__344lzen_2_1) )).++fof(fact_549,axiom,(+ chea(abw__344lzen_1_1,abw__344lzung_1_1) )).++fof(fact_550,axiom,(+ chea(abw__374rgen_1_1,abw__374rgen_2_1) )).++fof(fact_551,axiom,(+ chea(abzapfen_1_1,abzapfen_2_1) )).++fof(fact_552,axiom,(+ chea(abzehren_1_1,abzehrung_1_1) )).++fof(fact_553,axiom,(+ chea(abziehen_1_3,subtrahieren_2_1) )).++fof(fact_554,axiom,(+ chea(abziehen_1_3,subtraktion_1_1) )).++fof(fact_555,axiom,(+ chea(abzirkeln_1_1,abzirkeln_2_1) )).++fof(fact_556,axiom,(+ chea(abzocken_1_1,abzocken_2_1) )).++fof(fact_557,axiom,(+ chea(abzocken_1_1,abzockerei_1_1) )).++fof(fact_558,axiom,(+ chea(abzocken_1_1,linken_2_1) )).++fof(fact_559,axiom,(+ chea(abzwecken_1_1,abzweckung_1_1) )).++fof(fact_560,axiom,(+ chea(abz__344hlen_1_1,abz__344hlen_2_1) )).++fof(fact_561,axiom,(+ chea(abz__344hlen_1_1,abz__344hlung_1_1) )).++fof(fact_562,axiom,(+ chea(abz__344unen_1_1,abz__344unung_1_1) )).++fof(fact_563,axiom,(+ chea(adaptieren_1_1,adaptation_1_1) )).++fof(fact_564,axiom,(+ chea(adaptieren_1_1,adaptieren_2_1) )).++fof(fact_565,axiom,(+ chea(adaptieren_1_1,adaptierung_1_1) )).++fof(fact_566,axiom,(+ chea(addizieren_1_1,addizieren_2_1) )).++fof(fact_567,axiom,(+ chea(adeln_1_1,adelung_1_1) )).++fof(fact_568,axiom,(+ chea(adjustieren_1_1,adjustieren_2_1) )).++fof(fact_569,axiom,(+ chea(adjustieren_1_1,adjustierung_1_1) )).++fof(fact_570,axiom,(+ chea(administrieren_1_1,administration_1_1) )).++fof(fact_571,axiom,(+ chea(administrieren_1_1,administrieren_2_1) )).++fof(fact_572,axiom,(+ chea(administrieren_1_1,administrierung_1_1) )).++fof(fact_573,axiom,(+ chea(administrieren_1_1,verwalten_2_1) )).++fof(fact_574,axiom,(+ chea(adoptieren_1_1,adoption_1_1) )).++fof(fact_575,axiom,(+ chea(adorieren_1_1,adoration_1_1) )).++fof(fact_576,axiom,(+ chea(adressieren_1_1,adressieren_2_1) )).++fof(fact_577,axiom,(+ chea(adressieren_1_1,adressierung_1_1) )).++fof(fact_578,axiom,(+ chea(affig_1_1,bl__366deln_2_1) )).++fof(fact_579,axiom,(+ chea(affirmieren_1_1,affirmation_1_1) )).++fof(fact_580,axiom,(+ chea(agglomerieren_1_1,agglomerat_1_1) )).++fof(fact_581,axiom,(+ chea(agglomerieren_1_1,agglomerieren_2_1) )).++fof(fact_582,axiom,(+ chea(agglutinieren_1_1,agglutination_1_1) )).++fof(fact_583,axiom,(+ chea(aggregieren_1_1,aggregation_1_1) )).++fof(fact_584,axiom,(+ chea(aggregieren_1_1,aggregieren_2_1) )).++fof(fact_585,axiom,(+ chea(aggregieren_1_1,aggregierung_1_1) )).++fof(fact_586,axiom,(+ chea(ahnden_1_1,ahndung_1_1) )).++fof(fact_587,axiom,(+ chea(ahnden_1_1,belangen_2_1) )).++fof(fact_588,axiom,(+ chea(ahnden_1_1,belangung_1_1) )).++fof(fact_589,axiom,(+ chea(ahnen_1_1,ahnen_2_1) )).++fof(fact_590,axiom,(+ chea(ahnen_1_1,ahnung_1_1) )).++fof(fact_591,axiom,(+ chea(akademisieren_1_1,akademisierung_1_1) )).++fof(fact_592,axiom,(+ chea(akademisieren_1_1,verwissenschaftlichung_1_1) )).++fof(fact_593,axiom,(+ chea(akklamieren_1_1,akklamation_1_1) )).++fof(fact_594,axiom,(+ chea(akklimatisieren_1_1,akklimatisation_1_1) )).++fof(fact_595,axiom,(+ chea(akkreditieren_1_1,akkreditierung_1_1) )).++fof(fact_596,axiom,(+ chea(akkreditieren_1_1,authentisierung_1_1) )).++fof(fact_597,axiom,(+ chea(akkulturieren_1_1,akkulturation_1_1) )).++fof(fact_598,axiom,(+ chea(akkulturieren_1_1,akkulturierung_1_1) )).++fof(fact_599,axiom,(+ chea(akkumulieren_1_1,akkumulation_1_1) )).++fof(fact_600,axiom,(+ chea(akkumulieren_1_1,akkumulieren_2_1) )).++fof(fact_601,axiom,(+ chea(akkumulieren_1_1,akkumulierung_1_1) )).++fof(fact_602,axiom,(+ chea(akkumulieren_1_1,einverleibung_1_1) )).++fof(fact_603,axiom,(+ chea(akkumulieren_1_1,inkorporierung_1_1) )).++fof(fact_604,axiom,(+ chea(akquirieren_1_1,akquirieren_2_1) )).++fof(fact_605,axiom,(+ chea(akquirieren_1_1,akquirierung_1_1) )).++fof(fact_606,axiom,(+ chea(akquirieren_1_1,erwerben_2_1) )).++fof(fact_607,axiom,(+ chea(akquirieren_1_1,erwerbung_1_1) )).++fof(fact_608,axiom,(+ chea(aktivieren_1_1,aktivierung_1_1) )).++fof(fact_609,axiom,(+ chea(aktivieren_1_2,aktivierung_1_2) )).++fof(fact_610,axiom,(+ chea(aktivieren_1_2,belebung_1_1) )).++fof(fact_611,axiom,(+ chea(aktualisieren_1_1,aktualisieren_2_1) )).++fof(fact_612,axiom,(+ chea(aktualisieren_1_1,aktualisierung_1_1) )).++fof(fact_613,axiom,(+ chea(akzelerieren_1_1,akzeleration_1_1) )).++fof(fact_614,axiom,(+ chea(akzelerieren_1_1,beschleunigung_1_1) )).++fof(fact_615,axiom,(+ chea(akzentuieren_1_1,akzentuation_1_1) )).++fof(fact_616,axiom,(+ chea(akzentuieren_1_1,akzentuierung_1_1) )).++fof(fact_617,axiom,(+ chea(akzentuieren_1_1,pointierung_1_1) )).++fof(fact_618,axiom,(+ chea(akzeptieren_1_1,empfang_1_1) )).++fof(fact_619,axiom,(+ chea(akzeptieren_1_1,entgegennehmen_2_1) )).++fof(fact_620,axiom,(+ chea(akzeptieren_1_2,toleration_1_1) )).++fof(fact_621,axiom,(+ chea(akzeptieren_1_2,tolerieren_2_1) )).++fof(fact_622,axiom,(+ chea(akzeptieren_1_2,tolerierung_1_1) )).++fof(fact_623,axiom,(+ chea(alarmieren_1_1,alarmieren_2_1) )).++fof(fact_624,axiom,(+ chea(alarmieren_1_1,alarmierung_1_1) )).++fof(fact_625,axiom,(+ chea(alienieren_1_1,alienation_1_1) )).++fof(fact_626,axiom,(+ chea(alienieren_1_1,befremden_2_1) )).++fof(fact_627,axiom,(+ chea(alienieren_1_1,befremdung_1_1) )).++fof(fact_628,axiom,(+ chea(alienieren_1_1,entfremden_2_1) )).++fof(fact_629,axiom,(+ chea(alienieren_1_1,entfremdung_1_1) )).++fof(fact_630,axiom,(+ chea(alienieren_1_1,verfremden_2_1) )).++fof(fact_631,axiom,(+ chea(alienieren_1_1,verfremdung_1_1) )).++fof(fact_632,axiom,(+ chea(alignieren_1_1,alignierung_1_1) )).++fof(fact_633,axiom,(+ chea(alimentieren_1_1,alimentation_1_1) )).++fof(fact_634,axiom,(+ chea(alimentieren_1_1,alimentierung_1_1) )).++fof(fact_635,axiom,(+ chea(alkoholisieren_1_1,alkoholisierung_1_1) )).++fof(fact_636,axiom,(+ chea(alkylieren_1_1,alkylierung_1_1) )).++fof(fact_637,axiom,(+ chea(allegorisieren_1_1,allegorisierung_1_1) )).++fof(fact_638,axiom,(+ chea(alliterieren_1_1,alliteration_1_1) )).++fof(fact_639,axiom,(+ chea(alphabetisieren_1_1,alphabetisieren_2_1) )).++fof(fact_640,axiom,(+ chea(alphabetisieren_1_1,alphabetisierung_1_1) )).++fof(fact_641,axiom,(+ chea(alterieren_1_1,alteration_1_1) )).++fof(fact_642,axiom,(+ chea(altern_1_1,alterung_1_1) )).++fof(fact_643,axiom,(+ chea(alternieren_1_1,alternation_1_1) )).++fof(fact_644,axiom,(+ chea(alternieren_1_1,alternieren_2_1) )).++fof(fact_645,axiom,(+ chea(alternieren_1_1,alternierung_1_1) )).++fof(fact_646,axiom,(+ chea(amalgamieren_1_1,amalgamation_1_1) )).++fof(fact_647,axiom,(+ chea(amalgamieren_1_1,amalgamieren_2_1) )).++fof(fact_648,axiom,(+ chea(amalgamieren_1_1,amalgamierung_1_1) )).++fof(fact_649,axiom,(+ chea(ambitionieren_1_1,anvisieren_2_1) )).++fof(fact_650,axiom,(+ chea(ambitionieren_1_1,anvisierung_1_1) )).++fof(fact_651,axiom,(+ chea(ambitionieren_1_1,erstreben_2_1) )).++fof(fact_652,axiom,(+ chea(ambitionieren_1_1,hinarbeiten_2_1) )).++fof(fact_653,axiom,(+ chea(ameliorieren_1_1,amelioration_1_1) )).++fof(fact_654,axiom,(+ chea(amerikanisieren_1_1,amerikanisierung_1_1) )).++fof(fact_655,axiom,(+ chea(amnestieren_1_1,amnestierung_1_1) )).++fof(fact_656,axiom,(+ chea(amortisieren_1_1,amortisation_1_1) )).++fof(fact_657,axiom,(+ chea(amortisieren_1_2,amortisation_1_2) )).++fof(fact_658,axiom,(+ chea(amortisieren_1_3,amortisation_1_3) )).++fof(fact_659,axiom,(+ chea(amputieren_1_1,amputation_1_1) )).++fof(fact_660,axiom,(+ chea(amputieren_1_1,amputieren_2_1) )).++fof(fact_661,axiom,(+ chea(anathematisieren_1_1,anathematisierung_1_1) )).++fof(fact_662,axiom,(+ chea(anbacken_1_1,anbacken_2_1) )).++fof(fact_663,axiom,(+ chea(anbahnen_1_1,anbahnung_1_1) )).++fof(fact_664,axiom,(+ chea(anbahnen_1_2,anbahnung_1_2) )).++fof(fact_665,axiom,(+ chea(anbandeln_1_1,anbandeln_2_1) )).++fof(fact_666,axiom,(+ chea(anbandeln_1_1,anb__344ndeln_2_1) )).++fof(fact_667,axiom,(+ chea(anbandeln_1_1,turteln_2_1) )).++fof(fact_668,axiom,(+ chea(anbauen_1_1,anbau_1_2) )).++fof(fact_669,axiom,(+ chea(anbauen_1_1,anpflanzung_1_1) )).++fof(fact_670,axiom,(+ chea(anbei__337en_1_1,anbei__337en_2_1) )).++fof(fact_671,axiom,(+ chea(anberaumen_1_1,anberaumung_1_1) )).++fof(fact_672,axiom,(+ chea(anbeten_1_1,anbeten_2_1) )).++fof(fact_673,axiom,(+ chea(anbeten_1_1,anbetung_1_1) )).++fof(fact_674,axiom,(+ chea(anbiedern_1_1,anbiedern_2_1) )).++fof(fact_675,axiom,(+ chea(anbinden_1_1,anbinden_2_1) )).++fof(fact_676,axiom,(+ chea(anbinden_1_1,anbindung_1_1) )).++fof(fact_677,axiom,(+ chea(anbinden_1_1,festbinden_2_1) )).++fof(fact_678,axiom,(+ chea(anblicken_1_1,anblicken_2_1) )).++fof(fact_679,axiom,(+ chea(anbohren_1_1,anbohren_2_1) )).++fof(fact_680,axiom,(+ chea(anbohren_1_1,anbohrung_1_1) )).++fof(fact_681,axiom,(+ chea(anbrassen_1_1,anbrassen_2_1) )).++fof(fact_682,axiom,(+ chea(anbraten_1_1,anbraten_2_1) )).++fof(fact_683,axiom,(+ chea(anbrechen_1_1,anbrechen_2_1) )).++fof(fact_684,axiom,(+ chea(anbrennen_1_1,anbrennen_2_1) )).++fof(fact_685,axiom,(+ chea(anbringen_1_1,anbringen_2_1) )).++fof(fact_686,axiom,(+ chea(anbringen_1_1,anf__374gen_2_1) )).++fof(fact_687,axiom,(+ chea(anbringen_1_1,anf__374gung_1_1) )).++fof(fact_688,axiom,(+ chea(anbr__374llen_1_1,anbr__374llen_2_1) )).++fof(fact_689,axiom,(+ chea(andauen_1_1,andauung_1_1) )).++fof(fact_690,axiom,(+ chea(andauern_1_1,andauern_2_1) )).++fof(fact_691,axiom,(+ chea(andauern_1_1,fortw__344hren_2_1) )).++fof(fact_692,axiom,(+ chea(andauern_1_1,w__344hren_2_1) )).++fof(fact_693,axiom,(+ chea(andauern_1_1,w__344hrung_1_1) )).++fof(fact_694,axiom,(+ chea(andeuten_1_1,andeuten_2_1) )).++fof(fact_695,axiom,(+ chea(andeuten_1_1,andeutung_1_1) )).++fof(fact_696,axiom,(+ chea(andienen_1_1,andienung_1_1) )).++fof(fact_697,axiom,(+ chea(andocken_1_1,andocken_2_1) )).++fof(fact_698,axiom,(+ chea(andrehen_1_1,andrehen_2_1) )).++fof(fact_699,axiom,(+ chea(androhen_1_1,androhen_2_1) )).++fof(fact_700,axiom,(+ chea(androhen_1_1,androhung_1_1) )).++fof(fact_701,axiom,(+ chea(aneignen_1_1,aneignen_2_1) )).++fof(fact_702,axiom,(+ chea(aneignen_1_1,aneignung_1_1) )).++fof(fact_703,axiom,(+ chea(aneinanderf__374gen_1_1,aneinanderf__374gen_2_1) )).++fof(fact_704,axiom,(+ chea(aneinanderf__374gen_1_1,aneinanderf__374gung_1_1) )).++fof(fact_705,axiom,(+ chea(aneinandergrenzen_1_1,aneinandergrenzen_2_1) )).++fof(fact_706,axiom,(+ chea(aneinanderreihen_1_1,aneinanderreihen_2_1) )).++fof(fact_707,axiom,(+ chea(aneinanderreihen_1_1,aneinanderreihung_1_1) )).++fof(fact_708,axiom,(+ chea(aneinanderwachsen_1_1,aneinanderwachsen_2_1) )).++fof(fact_709,axiom,(+ chea(anempfehlen_1_1,anraten_2_1) )).++fof(fact_710,axiom,(+ chea(anempfehlen_1_1,raten_2_1) )).++fof(fact_711,axiom,(+ chea(anerbieten_1_1,anerbieten_2_1) )).++fof(fact_712,axiom,(+ chea(anerbieten_1_1,anerbietung_1_1) )).++fof(fact_713,axiom,(+ chea(anerkennen_1_1,anerkennen_2_1) )).++fof(fact_714,axiom,(+ chea(anerkennen_1_1,anerkennung_1_1) )).++fof(fact_715,axiom,(+ chea(anfachen_1_1,anfachen_2_1) )).++fof(fact_716,axiom,(+ chea(anfechten_1_1,anfechtung_1_1) )).++fof(fact_717,axiom,(+ chea(anfeinden_1_1,anfeindung_1_1) )).++fof(fact_718,axiom,(+ chea(anfertigen_1_1,anfertigung_1_1) )).++fof(fact_719,axiom,(+ chea(anfertigen_1_2,anfertigung_1_2) )).++fof(fact_720,axiom,(+ chea(anfeuern_1_1,anfeuerung_1_1) )).++fof(fact_721,axiom,(+ chea(anfeuern_1_2,anfeuerung_1_2) )).++fof(fact_722,axiom,(+ chea(anflanschen_1_1,anflanschen_2_1) )).++fof(fact_723,axiom,(+ chea(anflehen_1_1,anflehung_1_1) )).++fof(fact_724,axiom,(+ chea(anflehen_1_1,appellation_1_1) )).++fof(fact_725,axiom,(+ chea(anflehen_1_1,appellieren_2_1) )).++fof(fact_726,axiom,(+ chea(anflehen_1_1,erflehen_2_1) )).++fof(fact_727,axiom,(+ chea(anflehen_1_1,flehen_2_1) )).++fof(fact_728,axiom,(+ chea(anfliegen_1_2,anflug_1_1) )).++fof(fact_729,axiom,(+ chea(anfragen_1_1,anfrage__1_1) )).++fof(fact_730,axiom,(+ chea(anfunken_1_1,anfunken_2_1) )).++fof(fact_731,axiom,(+ chea(anf__374hlen_1_1,anf__374hlen_2_1) )).++fof(fact_732,axiom,(+ chea(anf__374hren_1_1,anf__374hrung_1_1) )).++fof(fact_733,axiom,(+ chea(anf__374hren_1_2,anf__374hrung_1_2) )).++fof(fact_734,axiom,(+ chea(anf__374hren_1_2,vorausgehen_2_1) )).++fof(fact_735,axiom,(+ chea(anf__374llen_1_1,anf__374llen_2_1) )).++fof(fact_736,axiom,(+ chea(anf__374llen_1_1,anf__374llung_1_1) )).++fof(fact_737,axiom,(+ chea(angeh__366ren_1_1,angeh__366ren_2_1) )).++fof(fact_738,axiom,(+ chea(angeln_1_1,angeln_2_1) )).++fof(fact_739,axiom,(+ chea(angeloben_1_1,angelobung_1_1) )).++fof(fact_740,axiom,(+ chea(angew__366hnen_1_1,angew__366hnung_1_1) )).++fof(fact_741,axiom,(+ chea(angleichen_1_1,angleichen_2_1) )).++fof(fact_742,axiom,(+ chea(angleichen_1_1,angleichung_1_1) )).++fof(fact_743,axiom,(+ chea(angliedern_1_1,angliederung_1_1) )).++fof(fact_744,axiom,(+ chea(anglisieren_1_1,anglisierung_1_1) )).++fof(fact_745,axiom,(+ chea(angreifen_1_1,angriff_1_1) )).++fof(fact_746,axiom,(+ chea(angrenzen_1_1,angrenzen_2_1) )).++fof(fact_747,axiom,(+ chea(angrenzen_1_1,angrenzung_1_1) )).++fof(fact_748,axiom,(+ chea(angucken_1_1,angucken_2_1) )).++fof(fact_749,axiom,(+ chea(angurten_1_1,anschnallen_2_1) )).++fof(fact_750,axiom,(+ chea(angurten_1_1,festschnallen_2_1) )).++fof(fact_751,axiom,(+ chea(anhaken_1_1,ankreuzen_2_1) )).++fof(fact_752,axiom,(+ chea(anhauchen_1_1,anhauchen_2_1) )).++fof(fact_753,axiom,(+ chea(anheben_1_2,anhebung_1_1) )).++fof(fact_754,axiom,(+ chea(anheften_1_1,anheften_2_1) )).++fof(fact_755,axiom,(+ chea(anheften_1_1,anheftung_1_1) )).++fof(fact_756,axiom,(+ chea(anheizen_1_2,sch__374ren_2_1) )).++fof(fact_757,axiom,(+ chea(anheizen_1_2,sch__374rung_1_1) )).++fof(fact_758,axiom,(+ chea(anhimmeln_1_1,anhimmeln_2_1) )).++fof(fact_759,axiom,(+ chea(anh__344keln_1_1,anh__344keln_2_1) )).++fof(fact_760,axiom,(+ chea(anh__344ufen_1_1,anh__344ufung_1_1) )).++fof(fact_761,axiom,(+ chea(anh__366ren_1_1,zuh__366ren_2_1) )).++fof(fact_762,axiom,(+ chea(anh__366ren_1_2,anh__366rung_1_1) )).++fof(fact_763,axiom,(+ chea(animieren_1_1,animation_1_2) )).++fof(fact_764,axiom,(+ chea(animieren_1_1,aufmunterung_1_1) )).++fof(fact_765,axiom,(+ chea(animieren_1_2,animation_1_3) )).++fof(fact_766,axiom,(+ chea(ankaufen_1_1,ankaufen_2_1) )).++fof(fact_767,axiom,(+ chea(ankaufen_1_1,erstehen_2_1) )).++fof(fact_768,axiom,(+ chea(ankaufen_1_1,erstehung_1_1) )).++fof(fact_769,axiom,(+ chea(anken_1_1,anken_2_1) )).++fof(fact_770,axiom,(+ chea(anketten_1_1,anketten_2_1) )).++fof(fact_771,axiom,(+ chea(anketten_1_1,ankettung_1_1) )).++fof(fact_772,axiom,(+ chea(anklagen_1_1,anklagen_2_1) )).++fof(fact_773,axiom,(+ chea(anklammern_1_1,anklammern_2_1) )).++fof(fact_774,axiom,(+ chea(ankleben_1_1,ankleben_2_1) )).++fof(fact_775,axiom,(+ chea(ankleben_1_1,anpicken_2_1) )).++fof(fact_776,axiom,(+ chea(ankleben_1_1,festkleben_2_1) )).++fof(fact_777,axiom,(+ chea(ankleiden_1_1,ankleiden_2_1) )).++fof(fact_778,axiom,(+ chea(ankleiden_1_1,ankleidung_1_1) )).++fof(fact_779,axiom,(+ chea(ankleiden_1_1,einkleiden_2_1) )).++fof(fact_780,axiom,(+ chea(ankleiden_1_1,einkleidung_1_1) )).++fof(fact_781,axiom,(+ chea(anklicken_1_1,anklicken_2_1) )).++fof(fact_782,axiom,(+ chea(anklingen_1_1,anklingen_2_1) )).++fof(fact_783,axiom,(+ chea(anklopfen_1_1,anklopfen_2_1) )).++fof(fact_784,axiom,(+ chea(ankn__374pfen_1_1,ankn__374pfung_1_1) )).++fof(fact_785,axiom,(+ chea(ankommen_1_4,gefallen_2_1) )).++fof(fact_786,axiom,(+ chea(ankoppeln_1_1,ankoppeln_2_1) )).++fof(fact_787,axiom,(+ chea(ankreiden_1_1,anlastung_1_1) )).++fof(fact_788,axiom,(+ chea(ankurbeln_1_1,ankurbeln_2_1) )).++fof(fact_789,axiom,(+ chea(ank__344mpfen_1_1,ank__344mpfen_2_1) )).++fof(fact_790,axiom,(+ chea(ank__366rnen_1_1,ank__366rnen_2_1) )).++fof(fact_791,axiom,(+ chea(ank__374nden_1_1,ank__374nden_2_1) )).++fof(fact_792,axiom,(+ chea(ank__374nden_1_1,ausrufen_2_1) )).++fof(fact_793,axiom,(+ chea(ank__374nden_1_1,ausrufung_1_1) )).++fof(fact_794,axiom,(+ chea(ank__374nden_1_1,avisierung_1_1) )).++fof(fact_795,axiom,(+ chea(ank__374nden_1_1,kundegebung_1_1) )).++fof(fact_796,axiom,(+ chea(ank__374nden_1_1,proklamieren_2_1) )).++fof(fact_797,axiom,(+ chea(ank__374nden_1_1,proklamierung_1_1) )).++fof(fact_798,axiom,(+ chea(ank__374ndigen_1_1,ankuendigung_1_1) )).++fof(fact_799,axiom,(+ chea(ank__374ndigen_1_1,ank__374ndigen_2_1) )).++fof(fact_800,axiom,(+ chea(anlanden_1_1,anlanden_2_1) )).++fof(fact_801,axiom,(+ chea(anlanden_1_1,anlandung_1_1) )).++fof(fact_802,axiom,(+ chea(anlangen_1_1,anlangen_2_1) )).++fof(fact_803,axiom,(+ chea(anlassen_1_1,anlassen_2_1) )).++fof(fact_804,axiom,(+ chea(anlassen_1_1,anlassung_1_1) )).++fof(fact_805,axiom,(+ chea(anlegen_1_1,investieren_2_1) )).++fof(fact_806,axiom,(+ chea(anlegen_1_1,investierung_1_1) )).++fof(fact_807,axiom,(+ chea(anlehnen_1_1,anlehnen_2_1) )).++fof(fact_808,axiom,(+ chea(anlehnen_1_1,anlehnung_1_1) )).++fof(fact_809,axiom,(+ chea(anleinen_1_1,anleinen_2_1) )).++fof(fact_810,axiom,(+ chea(anleiten_1_1,anleiten_2_1) )).++fof(fact_811,axiom,(+ chea(anleiten_1_1,anleitung_1_1) )).++fof(fact_812,axiom,(+ chea(anlernen_1_1,anlernen_2_1) )).++fof(fact_813,axiom,(+ chea(anlernen_1_1,anlernung_1_1) )).++fof(fact_814,axiom,(+ chea(anlesen_1_1,anlesen_2_1) )).++fof(fact_815,axiom,(+ chea(anliegen_2_1,anliegen_1_1) )).++fof(fact_816,axiom,(+ chea(anlocken_1_1,anlocken_2_1) )).++fof(fact_817,axiom,(+ chea(anlocken_1_1,anlockung_1_1) )).++fof(fact_818,axiom,(+ chea(anlocken_1_1,locken_2_1) )).++fof(fact_819,axiom,(+ chea(anlocken_1_1,lockung_1_1) )).++fof(fact_820,axiom,(+ chea(anluven_1_1,anluven_2_1) )).++fof(fact_821,axiom,(+ chea(anl__344cheln_1_1,anl__344cheln_2_1) )).++fof(fact_822,axiom,(+ chea(anl__366ten_1_1,anl__366ten_2_1) )).++fof(fact_823,axiom,(+ chea(anl__374gen_1_1,l__374gen_2_1) )).++fof(fact_824,axiom,(+ chea(anl__374gen_1_1,schwindeln_2_1) )).++fof(fact_825,axiom,(+ chea(anmahnen_1_1,anmahnen_2_1) )).++fof(fact_826,axiom,(+ chea(anmahnen_1_1,anmahnung_1_1) )).++fof(fact_827,axiom,(+ chea(anmalen_1_1,anmalen_2_1) )).++fof(fact_828,axiom,(+ chea(anmalen_1_1,t__374nchung_1_1) )).++fof(fact_829,axiom,(+ chea(anmalen_1_1,n374bermalung_1_1) )).++fof(fact_830,axiom,(+ chea(anma__337en_1_1,anmassung_1_1) )).++fof(fact_831,axiom,(+ chea(anmelden_1_1,anmeldung_1_1) )).++fof(fact_832,axiom,(+ chea(anmerken_1_1,anmerkung_1_1) )).++fof(fact_833,axiom,(+ chea(anmessen_1_1,anmessen_2_1) )).++fof(fact_834,axiom,(+ chea(anmieten_1_1,anmieten_2_1) )).++fof(fact_835,axiom,(+ chea(anmieten_1_1,anmietung_1_1) )).++fof(fact_836,axiom,(+ chea(anmieten_1_1,leasen_2_1) )).++fof(fact_837,axiom,(+ chea(anmieten_1_1,leasing_1_1) )).++fof(fact_838,axiom,(+ chea(anmuten_1_1,anmutung_1_1) )).++fof(fact_839,axiom,(+ chea(annektieren_1_1,annektieren_2_1) )).++fof(fact_840,axiom,(+ chea(annektieren_1_1,annektierung_1_1) )).++fof(fact_841,axiom,(+ chea(annektieren_1_1,annektion_1_1) )).++fof(fact_842,axiom,(+ chea(annoncieren_1_1,annoncierung_1_1) )).++fof(fact_843,axiom,(+ chea(annoncieren_1_1,inserieren_2_1) )).++fof(fact_844,axiom,(+ chea(annotieren_1_1,annotation_1_1) )).++fof(fact_845,axiom,(+ chea(annotieren_1_1,annotieren_2_1) )).++fof(fact_846,axiom,(+ chea(annulieren_1_1,annulation_1_1) )).++fof(fact_847,axiom,(+ chea(annulieren_1_1,annulieren_2_1) )).++fof(fact_848,axiom,(+ chea(annulieren_1_1,annulierung_1_1) )).++fof(fact_849,axiom,(+ chea(annullieren_1_1,annullation_1_1) )).++fof(fact_850,axiom,(+ chea(annullieren_1_1,annullierung_1_1) )).++fof(fact_851,axiom,(+ chea(ann__344hen_1_1,ann__344hen_2_1) )).++fof(fact_852,axiom,(+ chea(ann__344hern_1_2,ann__344herung_1_2) )).++fof(fact_853,axiom,(+ chea(anonymisieren_1_1,anonymisieren_2_1) )).++fof(fact_854,axiom,(+ chea(anonymisieren_1_1,anonymisierung_1_1) )).++fof(fact_855,axiom,(+ chea(anpaddeln_1_1,anpaddeln_2_1) )).++fof(fact_856,axiom,(+ chea(anpassen_1_2,angleichung_1_1) )).++fof(fact_857,axiom,(+ chea(anpassen_1_2,anpassung_1_2) )).++fof(fact_858,axiom,(+ chea(anpinkeln_1_1,anpinkeln_2_1) )).++fof(fact_859,axiom,(+ chea(anprallen_1_1,anprallen_2_1) )).++fof(fact_860,axiom,(+ chea(anpreisen_1_1,anpreisen_2_1) )).++fof(fact_861,axiom,(+ chea(anpreisen_1_1,anpreisung_1_1) )).++fof(fact_862,axiom,(+ chea(anprobieren_1_1,anprobieren_2_1) )).++fof(fact_863,axiom,(+ chea(anpumpen_1_1,anpumpen_2_1) )).++fof(fact_864,axiom,(+ chea(anp__366beln_1_1,anp__366beln_2_1) )).++fof(fact_865,axiom,(+ chea(anp__366beln_1_1,bel__344stigung_1_2) )).++fof(fact_866,axiom,(+ chea(anrauhen_1_1,anrauhung_1_1) )).++fof(fact_867,axiom,(+ chea(anrechnen_1_1,anrechnen_2_1) )).++fof(fact_868,axiom,(+ chea(anrechnen_1_1,anrechnung_1_1) )).++fof(fact_869,axiom,(+ chea(anreden_1_1,anredung_1_1) )).++fof(fact_870,axiom,(+ chea(anregen_1_1,anregung_1_2) )).++fof(fact_871,axiom,(+ chea(anregen_2_1,anregung_2_1) )).++fof(fact_872,axiom,(+ chea(anreichern_1_1,anreicherung_1_1) )).++fof(fact_873,axiom,(+ chea(anreichern_1_2,anreicherung_1_2) )).++fof(fact_874,axiom,(+ chea(anreihen_1_1,anreihung_1_1) )).++fof(fact_875,axiom,(+ chea(anreisen_1_1,anfahrt_1_1) )).++fof(fact_876,axiom,(+ chea(anreisen_1_1,anreisen_2_1) )).++fof(fact_877,axiom,(+ chea(anreizen_1_1,anreizen_2_1) )).++fof(fact_878,axiom,(+ chea(anreizen_1_1,anreizung_1_1) )).++fof(fact_879,axiom,(+ chea(anrempeln_1_1,anrempeln_2_1) )).++fof(fact_880,axiom,(+ chea(anrempeln_1_1,rempeln_2_1) )).++fof(fact_881,axiom,(+ chea(anrennen_1_1,anrennen_2_1) )).++fof(fact_882,axiom,(+ chea(anrollen_1_1,anrollen_2_1) )).++fof(fact_883,axiom,(+ chea(anrufen_1_2,anrufung_1_1) )).++fof(fact_884,axiom,(+ chea(anr__374cken_1_1,anr__374cken_2_1) )).++fof(fact_885,axiom,(+ chea(anr__374cken_1_1,aufkreuzen_2_1) )).++fof(fact_886,axiom,(+ chea(anr__374hren_1_2,r__374hrung_1_1) )).++fof(fact_887,axiom,(+ chea(ansagen_1_1,ansagen_2_1) )).++fof(fact_888,axiom,(+ chea(ansaufen_1_1,betrinken_2_1) )).++fof(fact_889,axiom,(+ chea(ansaugen_1_1,ansaugen_2_1) )).++fof(fact_890,axiom,(+ chea(ansaugen_1_1,ansaugung_1_1) )).++fof(fact_891,axiom,(+ chea(anschaffen_1_1,anschaffung_1_1) )).++fof(fact_892,axiom,(+ chea(anschalten_1_1,anschalten_2_1) )).++fof(fact_893,axiom,(+ chea(anschalten_1_1,anschaltung_1_1) )).++fof(fact_894,axiom,(+ chea(anschalten_1_1,einschalten_2_1) )).++fof(fact_895,axiom,(+ chea(anschalten_1_1,einschaltung_1_1) )).++fof(fact_896,axiom,(+ chea(anschieben_1_1,anschieben_2_1) )).++fof(fact_897,axiom,(+ chea(anschie__337en_1_1,anschie__337en_2_1) )).++fof(fact_898,axiom,(+ chea(anschleichen_1_1,anschleichen_2_1) )).++fof(fact_899,axiom,(+ chea(anschleifen_1_1,anschleifen_2_1) )).++fof(fact_900,axiom,(+ chea(anschleppen_1_1,anschleppen_2_1) )).++fof(fact_901,axiom,(+ chea(anschlie__337en_1_2,dazukommen_2_1) )).++fof(fact_902,axiom,(+ chea(anschlie__337en_1_2,gesellen_2_1) )).++fof(fact_903,axiom,(+ chea(anschlie__337en_1_2,gesellung_1_1) )).++fof(fact_904,axiom,(+ chea(anschmiegen_1_1,anschmiegen_2_1) )).++fof(fact_905,axiom,(+ chea(anschrauben_1_1,anschrauben_2_1) )).++fof(fact_906,axiom,(+ chea(anschreien_1_1,anschreien_2_1) )).++fof(fact_907,axiom,(+ chea(anschuldigen_1_1,anschuldigen_2_1) )).++fof(fact_908,axiom,(+ chea(anschuldigen_1_1,anschuldigung_1_1) )).++fof(fact_909,axiom,(+ chea(anschuldigen_1_1,beschuldigen_2_1) )).++fof(fact_910,axiom,(+ chea(anschwei__337en_1_1,anschwei__337en_2_1) )).++fof(fact_911,axiom,(+ chea(anschwellen_1_1,anschwellung_1_1) )).++fof(fact_912,axiom,(+ chea(anschwemmen_1_1,anschwemmung_1_1) )).++fof(fact_913,axiom,(+ chea(anschw__344rzen_1_1,anschw__344rzen_2_1) )).++fof(fact_914,axiom,(+ chea(anschw__344rzen_1_1,anschw__344rzung_1_1) )).++fof(fact_915,axiom,(+ chea(ansegeln_1_1,ansegeln_2_1) )).++fof(fact_916,axiom,(+ chea(anseilen_1_1,anseilen_2_1) )).++fof(fact_917,axiom,(+ chea(ansinnen_1_1,vorhaben_2_1) )).++fof(fact_918,axiom,(+ chea(ansparen_1_1,ansparen_2_1) )).++fof(fact_919,axiom,(+ chea(ansparen_1_1,ansparung_1_1) )).++fof(fact_920,axiom,(+ chea(anspeien_1_1,anspeien_2_1) )).++fof(fact_921,axiom,(+ chea(anspitzen_1_1,anspitzen_2_1) )).++fof(fact_922,axiom,(+ chea(anspringen_1_1,anspringen_2_1) )).++fof(fact_923,axiom,(+ chea(anspritzen_1_1,anspritzen_2_1) )).++fof(fact_924,axiom,(+ chea(anspucken_1_1,anspucken_2_1) )).++fof(fact_925,axiom,(+ chea(anspucken_1_1,bespucken_2_1) )).++fof(fact_926,axiom,(+ chea(ansp__374len_1_1,ansp__374len_2_1) )).++fof(fact_927,axiom,(+ chea(ansp__374len_1_1,ansp__374lung_1_1) )).++fof(fact_928,axiom,(+ chea(anstacheln_1_1,anstacheln_2_1) )).++fof(fact_929,axiom,(+ chea(anstarren_1_1,anstarren_2_1) )).++fof(fact_930,axiom,(+ chea(anstauen_1_1,anstauen_2_1) )).++fof(fact_931,axiom,(+ chea(anstauen_1_1,anstauung_1_1) )).++fof(fact_932,axiom,(+ chea(anstechen_1_1,anstechen_2_1) )).++fof(fact_933,axiom,(+ chea(anstecken_1_2,ansteckung_1_1) )).++fof(fact_934,axiom,(+ chea(anstecken_1_2,infizieren_2_1) )).++fof(fact_935,axiom,(+ chea(anstecken_1_2,infizierung_1_1) )).++fof(fact_936,axiom,(+ chea(anstecken_1_3,ansteckung_1_3) )).++fof(fact_937,axiom,(+ chea(anstecken_1_3,anz__374nden_2_1) )).++fof(fact_938,axiom,(+ chea(anstecken_1_3,anz__374ndung_1_1) )).++fof(fact_939,axiom,(+ chea(anstiften_1_1,anstiften_2_1) )).++fof(fact_940,axiom,(+ chea(anstiften_1_1,aufhetzung_1_1) )).++fof(fact_941,axiom,(+ chea(anstimmen_1_1,anstimmen_2_1) )).++fof(fact_942,axiom,(+ chea(anstimmen_1_1,intonation_1_1) )).++fof(fact_943,axiom,(+ chea(anstimmen_1_1,intonieren_2_1) )).++fof(fact_944,axiom,(+ chea(anstimmen_1_1,intonierung_1_1) )).++fof(fact_945,axiom,(+ chea(ansto__337en_1_3,etablierung_1_1) )).++fof(fact_946,axiom,(+ chea(ansto__337en_1_3,initiation_1_1) )).++fof(fact_947,axiom,(+ chea(ansto__337en_1_3,initiieren_2_1) )).++fof(fact_948,axiom,(+ chea(anstreben_1_1,anstreben_2_1) )).++fof(fact_949,axiom,(+ chea(anstreben_1_1,anstrebung_1_1) )).++fof(fact_950,axiom,(+ chea(anstreichen_1_1,anstreichen_2_1) )).++fof(fact_951,axiom,(+ chea(anstrengen_1_1,anstrengung_1_1) )).++fof(fact_952,axiom,(+ chea(anst__374rmen_1_1,anst__374rmen_2_1) )).++fof(fact_953,axiom,(+ chea(ansuchen_1_1,ansuchen_2_1) )).++fof(fact_954,axiom,(+ chea(ans__344gen_1_1,ans__344gen_2_1) )).++fof(fact_955,axiom,(+ chea(antichambrieren_1_1,antichambrieren_2_1) )).++fof(fact_956,axiom,(+ chea(antippen_1_1,antippen_2_1) )).++fof(fact_957,axiom,(+ chea(antizipieren_1_1,antizipation_1_1) )).++fof(fact_958,axiom,(+ chea(antizipieren_1_1,antizipieren_2_1) )).++fof(fact_959,axiom,(+ chea(antragen_1_1,antragen_2_1) )).++fof(fact_960,axiom,(+ chea(antragen_1_1,antragung_1_1) )).++fof(fact_961,axiom,(+ chea(antrainieren_1_1,antrainieren_2_1) )).++fof(fact_962,axiom,(+ chea(antreffen_1_1,antreffen_2_1) )).++fof(fact_963,axiom,(+ chea(antreten_2_2,kandidation_1_1) )).++fof(fact_964,axiom,(+ chea(antreten_2_2,kandidieren_2_1) )).++fof(fact_965,axiom,(+ chea(antrocknen_1_1,antrocknen_2_1) )).++fof(fact_966,axiom,(+ chea(antrocknen_1_1,antrocknung_1_1) )).++fof(fact_967,axiom,(+ chea(antun_1_1,zuf__374gung_1_1) )).++fof(fact_968,axiom,(+ chea(antworten_1_1,entgegnung_1_1) )).++fof(fact_969,axiom,(+ chea(antworten_1_1,erwiderung_1_2) )).++fof(fact_970,axiom,(+ chea(anwachsen_1_2,steigung_1_1) )).++fof(fact_971,axiom,(+ chea(anwerben_1_1,anwerben_2_1) )).++fof(fact_972,axiom,(+ chea(anwerben_1_1,anwerbung_1_1) )).++fof(fact_973,axiom,(+ chea(anwerfen_1_1,anwerfen_2_1) )).++fof(fact_974,axiom,(+ chea(anwinkeln_1_1,anwinkeln_2_1) )).++fof(fact_975,axiom,(+ chea(anw__344hlen_1_1,anw__344hlen_2_1) )).++fof(fact_976,axiom,(+ chea(anw__344rmen_1_1,anw__344rmen_2_1) )).++fof(fact_977,axiom,(+ chea(anw__344rmen_1_1,anw__344rmung_1_1) )).++fof(fact_978,axiom,(+ chea(anzahlen_1_1,anzahlen_2_1) )).++fof(fact_979,axiom,(+ chea(anzahlen_1_1,anzahlung_1_1) )).++fof(fact_980,axiom,(+ chea(anzapfen_1_1,anzapfen_2_1) )).++fof(fact_981,axiom,(+ chea(anzapfen_1_1,anzapfung_1_1) )).++fof(fact_982,axiom,(+ chea(anzeichnen_1_1,anzeichnen_2_1) )).++fof(fact_983,axiom,(+ chea(anzetteln_1_1,anzetteln_2_1) )).++fof(fact_984,axiom,(+ chea(anziehen_1_3,anziehung_1_3) )).++fof(fact_985,axiom,(+ chea(anzielen_1_1,anzielen_2_1) )).++fof(fact_986,axiom,(+ chea(anzielen_1_1,anzielung_1_1) )).++fof(fact_987,axiom,(+ chea(anzweifeln_1_1,anzweifeln_2_1) )).++fof(fact_988,axiom,(+ chea(anzweifeln_1_1,bezweifeln_2_1) )).++fof(fact_989,axiom,(+ chea(anzweifeln_1_1,infragestellen_2_1) )).++fof(fact_990,axiom,(+ chea(anzweifeln_1_1,infragestellung_1_1) )).++fof(fact_991,axiom,(+ chea(anz__344hlen_1_1,anz__344hlen_2_1) )).++fof(fact_992,axiom,(+ chea(an__344sthesieren_1_1,an__344sthesierung_1_1) )).++fof(fact_993,axiom,(+ chea(an__344sthesieren_1_1,bet__344uben_2_1) )).++fof(fact_994,axiom,(+ chea(an__344sthesieren_1_1,bet__344ubung_1_1) )).++fof(fact_995,axiom,(+ chea(an__344sthesieren_1_1,narkotisierung_1_1) )).++fof(fact_996,axiom,(+ chea(apostrophieren_1_1,apostrophierung_1_1) )).++fof(fact_997,axiom,(+ chea(applaudieren_1_1,applaudieren_2_1) )).++fof(fact_998,axiom,(+ chea(applizieren_1_1,applizieren_2_1) )).++fof(fact_999,axiom,(+ chea(applizieren_1_1,applizierung_1_1) )).++fof(fact_1000,axiom,(+ chea(apportieren_1_1,apportieren_2_1) )).++fof(fact_1001,axiom,(+ chea(approbieren_1_1,approbation_1_1) )).++fof(fact_1002,axiom,(+ chea(aquarellieren_1_1,aquarellieren_2_1) )).++fof(fact_1003,axiom,(+ chea(aquarellieren_1_1,aquarellierung_1_1) )).++fof(fact_1004,axiom,(+ chea(arabisieren_1_1,arabisierung_1_1) )).++fof(fact_1005,axiom,(+ chea(arbeiten_1_7,funktionieren_2_1) )).++fof(fact_1006,axiom,(+ chea(archaisieren_1_1,archaisierung_1_1) )).++fof(fact_1007,axiom,(+ chea(archivieren_1_1,archivieren_2_1) )).++fof(fact_1008,axiom,(+ chea(archivieren_1_1,archivierung_1_1) )).++fof(fact_1009,axiom,(+ chea(arisieren_1_1,arisierung_1_1) )).++fof(fact_1010,axiom,(+ chea(armieren_1_1,armieren_2_1) )).++fof(fact_1011,axiom,(+ chea(armieren_1_1,armierung_1_1) )).++fof(fact_1012,axiom,(+ chea(armieren_1_1,bewaffnen_2_1) )).++fof(fact_1013,axiom,(+ chea(aromatisieren_1_1,aromatisieren_2_1) )).++fof(fact_1014,axiom,(+ chea(aromatisieren_1_1,aromatisierung_1_1) )).++fof(fact_1015,axiom,(+ chea(arretieren_1_1,arretieren_2_1) )).++fof(fact_1016,axiom,(+ chea(arretieren_1_1,arretierung_1_1) )).++fof(fact_1017,axiom,(+ chea(arretieren_1_1,festnehmen_2_1) )).++fof(fact_1018,axiom,(+ chea(arretieren_1_1,gefangennahme_1_1) )).++fof(fact_1019,axiom,(+ chea(arretieren_1_1,verhaften_2_1) )).++fof(fact_1020,axiom,(+ chea(arrondieren_1_1,arrondieren_2_1) )).++fof(fact_1021,axiom,(+ chea(arrondieren_1_1,arrondierung_1_1) )).++fof(fact_1022,axiom,(+ chea(arten_1_1,arten_2_1) )).++fof(fact_1023,axiom,(+ chea(arten_1_1,artung_1_1) )).++fof(fact_1024,axiom,(+ chea(artikulieren_1_1,artikulation_1_1) )).++fof(fact_1025,axiom,(+ chea(artikulieren_1_1,artikulieren_2_1) )).++fof(fact_1026,axiom,(+ chea(artikulieren_1_1,artikulierung_1_1) )).++fof(fact_1027,axiom,(+ chea(asphaltieren_1_1,asphaltieren_2_1) )).++fof(fact_1028,axiom,(+ chea(asphaltieren_1_1,asphaltierung_1_1) )).++fof(fact_1029,axiom,(+ chea(asphaltieren_1_1,teeren_2_1) )).++fof(fact_1030,axiom,(+ chea(asphaltieren_1_1,teerung_1_1) )).++fof(fact_1031,axiom,(+ chea(aspirieren_1_1,aspiration_1_1) )).++fof(fact_1032,axiom,(+ chea(aspirieren_1_1,aspirieren_2_1) )).++fof(fact_1033,axiom,(+ chea(aspirieren_1_1,aspirierung_1_1) )).++fof(fact_1034,axiom,(+ chea(assibilieren_1_1,assibilation_1_1) )).++fof(fact_1035,axiom,(+ chea(assimilieren_1_2,assimilation_1_2) )).++fof(fact_1036,axiom,(+ chea(assistieren_1_1,assistieren_2_1) )).++fof(fact_1037,axiom,(+ chea(assistieren_1_1,sekundieren_2_1) )).++fof(fact_1038,axiom,(+ chea(assoziieren_1_1,assoziation_1_1) )).++fof(fact_1039,axiom,(+ chea(assoziieren_1_1,assoziieren_2_1) )).++fof(fact_1040,axiom,(+ chea(assoziieren_1_1,assoziierung_1_1) )).++fof(fact_1041,axiom,(+ chea(asten_1_1,asten_2_1) )).++fof(fact_1042,axiom,(+ chea(asten_1_1,n344sten_2_1) )).++fof(fact_1043,axiom,(+ chea(atmen_1_1,atmen_2_1) )).++fof(fact_1044,axiom,(+ chea(atmen_1_1,atmung_1_1) )).++fof(fact_1045,axiom,(+ chea(atmen_1_1,schnaufen_2_1) )).++fof(fact_1046,axiom,(+ chea(atomisieren_1_1,atomisierung_1_1) )).++fof(fact_1047,axiom,(+ chea(attackieren_1_1,attackieren_2_1) )).++fof(fact_1048,axiom,(+ chea(attestieren_1_1,attestation_1_1) )).++fof(fact_1049,axiom,(+ chea(attestieren_1_1,attestierung_1_1) )).++fof(fact_1050,axiom,(+ chea(attestieren_1_1,quittieren_2_1) )).++fof(fact_1051,axiom,(+ chea(attestieren_1_1,quittierung_1_1) )).++fof(fact_1052,axiom,(+ chea(attestieren_1_1,testierung_1_1) )).++fof(fact_1053,axiom,(+ chea(aufaddieren_1_1,aufaddierung_1_1) )).++fof(fact_1054,axiom,(+ chea(aufarbeiten_1_1,aufarbeitung_1_1) )).++fof(fact_1055,axiom,(+ chea(aufarbeiten_1_2,aufarbeitung_1_2) )).++fof(fact_1056,axiom,(+ chea(aufatmen_1_1,aufatmen_2_1) )).++fof(fact_1057,axiom,(+ chea(aufbacken_1_1,aufbacken_2_1) )).++fof(fact_1058,axiom,(+ chea(aufbahren_1_1,aufbahren_2_1) )).++fof(fact_1059,axiom,(+ chea(aufbahren_1_1,aufbahrung_1_1) )).++fof(fact_1060,axiom,(+ chea(aufbaumen_1_1,aufbaumen_2_1) )).++fof(fact_1061,axiom,(+ chea(aufbauschen_1_1,aufbauschen_2_1) )).++fof(fact_1062,axiom,(+ chea(aufbauschen_1_1,aufbauschung_1_1) )).++fof(fact_1063,axiom,(+ chea(aufbauschen_1_1,n374bertreiben_2_1) )).++fof(fact_1064,axiom,(+ chea(aufbauschen_1_1,n374bertreibung_1_1) )).++fof(fact_1065,axiom,(+ chea(aufbegehren_1_1,aufbegehren_2_1) )).++fof(fact_1066,axiom,(+ chea(aufbegehren_1_1,aufb__344umen_2_1) )).++fof(fact_1067,axiom,(+ chea(aufbegehren_1_1,auflehnen_2_1) )).++fof(fact_1068,axiom,(+ chea(aufbegehren_1_1,auflehnung_1_1) )).++fof(fact_1069,axiom,(+ chea(aufbegehren_1_1,aufmucken_2_1) )).++fof(fact_1070,axiom,(+ chea(aufbei__337en_1_1,aufbei__337en_2_1) )).++fof(fact_1071,axiom,(+ chea(aufbereiten_1_1,aufbereiten_2_1) )).++fof(fact_1072,axiom,(+ chea(aufbereiten_1_1,aufbereitung_1_1) )).++fof(fact_1073,axiom,(+ chea(aufbereiten_1_1,verarbeitung_1_3) )).++fof(fact_1074,axiom,(+ chea(aufbessern_1_1,aufbesserung_1_1) )).++fof(fact_1075,axiom,(+ chea(aufbewahren_1_1,aufbewahren_2_1) )).++fof(fact_1076,axiom,(+ chea(aufbewahren_1_1,aufbewahrung_1_1) )).++fof(fact_1077,axiom,(+ chea(aufbiegen_1_1,aufbiegen_2_1) )).++fof(fact_1078,axiom,(+ chea(aufbiegen_1_1,aufbiegung_1_1) )).++fof(fact_1079,axiom,(+ chea(aufbieten_1_1,aufbietung_1_1) )).++fof(fact_1080,axiom,(+ chea(aufbieten_1_2,aufbietung_1_2) )).++fof(fact_1081,axiom,(+ chea(aufblasen_1_1,aufblasen_2_1) )).++fof(fact_1082,axiom,(+ chea(aufblenden_1_1,aufblenden_2_1) )).++fof(fact_1083,axiom,(+ chea(aufblicken_1_1,aufblicken_2_1) )).++fof(fact_1084,axiom,(+ chea(aufblicken_1_1,aufregung_1_1) )).++fof(fact_1085,axiom,(+ chea(aufblitzen_1_1,aufblitzen_2_1) )).++fof(fact_1086,axiom,(+ chea(aufbl__344hen_1_1,aufbl__344hen_2_1) )).++fof(fact_1087,axiom,(+ chea(aufbl__344hen_1_1,aufbl__344hung_1_1) )).++fof(fact_1088,axiom,(+ chea(aufbl__344hen_1_1,aufpumpen_2_1) )).++fof(fact_1089,axiom,(+ chea(aufbl__374hen_1_1,aufbl__374hen_2_1) )).++fof(fact_1090,axiom,(+ chea(aufbl__374hen_1_1,erbl__374hen_2_1) )).++fof(fact_1091,axiom,(+ chea(aufbohren_1_1,aufbohren_2_1) )).++fof(fact_1092,axiom,(+ chea(aufbrauchen_1_1,aufbrauchen_2_1) )).++fof(fact_1093,axiom,(+ chea(aufbrauchen_1_1,aufwand_1_2) )).++fof(fact_1094,axiom,(+ chea(aufbrauchen_1_1,aufwenden_2_1) )).++fof(fact_1095,axiom,(+ chea(aufbrausen_1_1,aufbrausen_2_1) )).++fof(fact_1096,axiom,(+ chea(aufbrennen_1_1,aufbrennen_2_1) )).++fof(fact_1097,axiom,(+ chea(aufbr__374hen_1_1,aufbr__374hen_2_1) )).++fof(fact_1098,axiom,(+ chea(aufb__374geln_1_1,aufb__374geln_2_1) )).++fof(fact_1099,axiom,(+ chea(aufb__374rden_1_1,aufb__374rdung_1_1) )).++fof(fact_1100,axiom,(+ chea(aufdampfen_1_1,aufdampfen_2_1) )).++fof(fact_1101,axiom,(+ chea(aufdecken_1_1,aufdeckung_1_1) )).++fof(fact_1102,axiom,(+ chea(aufdecken_1_2,aufdeckung_1_2) )).++fof(fact_1103,axiom,(+ chea(aufdrehen_1_1,aufdrehen_2_1) )).++fof(fact_1104,axiom,(+ chea(aufdrucken_1_1,aufdrucken_2_1) )).++fof(fact_1105,axiom,(+ chea(aufdr__366seln_1_1,aufdr__366seln_2_1) )).++fof(fact_1106,axiom,(+ chea(aufdr__374cken_1_1,aufdr__374cken_2_1) )).++fof(fact_1107,axiom,(+ chea(aufeinanderfolgen_1_1,aufeinanderfolgen_2_1) )).++fof(fact_1108,axiom,(+ chea(aufeinanderlegen_1_1,aufeinanderlegen_2_1) )).++fof(fact_1109,axiom,(+ chea(aufeinanderpressen_1_1,aufeinanderpressen_2_1) )).++fof(fact_1110,axiom,(+ chea(aufeinandersto__337en_1_1,aufeinandersto__337en_2_1) )).++fof(fact_1111,axiom,(+ chea(aufeinandertreffen_1_1,aufeinandertreffen_2_1) )).++fof(fact_1112,axiom,(+ chea(auferstehen_1_1,auferstehen_2_1) )).++fof(fact_1113,axiom,(+ chea(auferstehen_1_1,auferstehung_1_1) )).++fof(fact_1114,axiom,(+ chea(auferwecken_1_1,auferweckung_1_1) )).++fof(fact_1115,axiom,(+ chea(aufessen_1_1,aufessen_2_1) )).++fof(fact_1116,axiom,(+ chea(auffinden_1_1,auffinden_2_1) )).++fof(fact_1117,axiom,(+ chea(auffinden_1_1,auffindung_1_1) )).++fof(fact_1118,axiom,(+ chea(auffinden_1_1,vorfinden_2_1) )).++fof(fact_1119,axiom,(+ chea(aufflackern_1_1,aufleuchten_2_1) )).++fof(fact_1120,axiom,(+ chea(aufflammen_1_1,aufflammen_2_1) )).++fof(fact_1121,axiom,(+ chea(aufflattern_1_1,aufflattern_2_1) )).++fof(fact_1122,axiom,(+ chea(aufforsten_1_1,aufforsten_2_1) )).++fof(fact_1123,axiom,(+ chea(aufforsten_1_1,aufforstung_1_1) )).++fof(fact_1124,axiom,(+ chea(aufforsten_1_1,beforstung_1_1) )).++fof(fact_1125,axiom,(+ chea(aufforsten_1_1,bewaldung_1_1) )).++fof(fact_1126,axiom,(+ chea(auffressen_1_1,auffressen_2_1) )).++fof(fact_1127,axiom,(+ chea(auffressen_1_1,vertilgen_2_1) )).++fof(fact_1128,axiom,(+ chea(auffressen_1_1,vertilgung_1_1) )).++fof(fact_1129,axiom,(+ chea(auffrischen_1_1,auffrischen_2_1) )).++fof(fact_1130,axiom,(+ chea(auffrischen_1_1,auffrischung_1_1) )).++fof(fact_1131,axiom,(+ chea(auff__344deln_1_1,auff__344deln_2_1) )).++fof(fact_1132,axiom,(+ chea(auff__374hren_1_2,auff__374hrung_1_2) )).++fof(fact_1133,axiom,(+ chea(auff__374hren_1_3,auff__374hrung_1_3) )).++fof(fact_1134,axiom,(+ chea(auff__374llen_1_1,auff__374llen_2_1) )).++fof(fact_1135,axiom,(+ chea(auff__374llen_1_1,auff__374llung_1_1) )).++fof(fact_1136,axiom,(+ chea(aufgeben_3_1,lossagung_1_1) )).++fof(fact_1137,axiom,(+ chea(aufgeien_1_1,aufgeien_2_1) )).++fof(fact_1138,axiom,(+ chea(aufgleisen_1_1,aufgleisung_1_1) )).++fof(fact_1139,axiom,(+ chea(aufgl__374hen_1_1,aufgl__374hen_2_1) )).++fof(fact_1140,axiom,(+ chea(aufgraben_1_1,aufgraben_2_1) )).++fof(fact_1141,axiom,(+ chea(aufgraben_1_1,aufgrabung_1_1) )).++fof(fact_1142,axiom,(+ chea(aufhaben_1_1,aufhabung_1_1) )).++fof(fact_1143,axiom,(+ chea(aufhacken_1_1,aufhacken_2_1) )).++fof(fact_1144,axiom,(+ chea(aufhalten_1_1,aufhaltung_1_1) )).++fof(fact_1145,axiom,(+ chea(aufheitern_1_1,aufheiterung_1_1) )).++fof(fact_1146,axiom,(+ chea(aufheitern_1_2,aufheiterung_1_2) )).++fof(fact_1147,axiom,(+ chea(aufheizen_1_1,aufheizen_2_1) )).++fof(fact_1148,axiom,(+ chea(aufheizen_1_1,aufheizung_1_1) )).++fof(fact_1149,axiom,(+ chea(aufheizen_1_1,erw__344rmung_1_1) )).++fof(fact_1150,axiom,(+ chea(aufhellen_1_1,aufhellung_1_1) )).++fof(fact_1151,axiom,(+ chea(aufhellen_1_2,aufhellung_1_2) )).++fof(fact_1152,axiom,(+ chea(aufhellen_1_2,aufklaren_2_1) )).++fof(fact_1153,axiom,(+ chea(aufheulen_1_1,aufheulen_2_1) )).++fof(fact_1154,axiom,(+ chea(aufholen_1_1,aufholen_2_1) )).++fof(fact_1155,axiom,(+ chea(aufhorchen_1_1,aufhorchen_2_1) )).++fof(fact_1156,axiom,(+ chea(aufhorchen_1_1,aufmerken_2_1) )).++fof(fact_1157,axiom,(+ chea(aufh__344ngen_1_1,aufh__344ngen_2_1) )).++fof(fact_1158,axiom,(+ chea(aufh__344ngen_1_1,aufh__344ngung_1_1) )).++fof(fact_1159,axiom,(+ chea(aufh__344ufen_1_1,aufh__344ufung_1_1) )).++fof(fact_1160,axiom,(+ chea(aufkaufen_1_1,akquisition_1_1) )).++fof(fact_1161,axiom,(+ chea(aufkeimen_1_1,aufkeimen_2_1) )).++fof(fact_1162,axiom,(+ chea(aufkeimen_1_1,keimen_2_1) )).++fof(fact_1163,axiom,(+ chea(aufkeimen_1_1,keimung_1_1) )).++fof(fact_1164,axiom,(+ chea(aufklappen_1_1,aufklappen_2_1) )).++fof(fact_1165,axiom,(+ chea(aufklappen_1_1,aufklappung_1_1) )).++fof(fact_1166,axiom,(+ chea(aufklatschen_1_1,aufklatschen_2_1) )).++fof(fact_1167,axiom,(+ chea(aufklauben_1_1,aufklauben_2_1) )).++fof(fact_1168,axiom,(+ chea(aufkleben_1_1,aufkleben_2_1) )).++fof(fact_1169,axiom,(+ chea(aufkleben_1_1,aufklebung_1_1) )).++fof(fact_1170,axiom,(+ chea(aufkl__344ren_1_1,aufkl__344rung_1_1) )).++fof(fact_1171,axiom,(+ chea(aufkl__344ren_1_3,aufkl__344rung_1_2) )).++fof(fact_1172,axiom,(+ chea(aufknacken_1_1,aufknacken_2_1) )).++fof(fact_1173,axiom,(+ chea(aufkn__374pfen_1_1,aufkn__374pfen_2_1) )).++fof(fact_1174,axiom,(+ chea(aufkn__374pfen_1_1,erh__344ngen_2_1) )).++fof(fact_1175,axiom,(+ chea(aufkn__374pfen_1_1,erh__344ngung_1_1) )).++fof(fact_1176,axiom,(+ chea(aufkochen_1_1,aufkochen_2_1) )).++fof(fact_1177,axiom,(+ chea(aufkratzen_1_1,aufkratzen_2_1) )).++fof(fact_1178,axiom,(+ chea(aufkreischen_1_1,aufschreien_2_1) )).++fof(fact_1179,axiom,(+ chea(aufkrempeln_1_1,aufkrempeln_2_1) )).++fof(fact_1180,axiom,(+ chea(aufk__374ndigen_1_1,aufk__374ndigung_1_1) )).++fof(fact_1181,axiom,(+ chea(auflachen_1_1,auflachen_2_1) )).++fof(fact_1182,axiom,(+ chea(aufladen_1_1,aufladen_2_1) )).++fof(fact_1183,axiom,(+ chea(aufladen_1_1,aufladung_1_1) )).++fof(fact_1184,axiom,(+ chea(auflassen_1_1,auflassen_2_1) )).++fof(fact_1185,axiom,(+ chea(auflassen_1_1,auflassung_1_1) )).++fof(fact_1186,axiom,(+ chea(auflasten_1_1,auflasten_2_1) )).++fof(fact_1187,axiom,(+ chea(auflasten_1_1,bepackung_1_1) )).++fof(fact_1188,axiom,(+ chea(auflaufen_1_1,auflaufen_2_1) )).++fof(fact_1189,axiom,(+ chea(aufleben_1_1,aufleben_2_1) )).++fof(fact_1190,axiom,(+ chea(auflecken_1_1,auflecken_2_1) )).++fof(fact_1191,axiom,(+ chea(auflesen_1_1,auflesen_2_1) )).++fof(fact_1192,axiom,(+ chea(auflesen_1_1,aufsammeln_2_1) )).++fof(fact_1193,axiom,(+ chea(auflichten_1_1,auflichtung_1_1) )).++fof(fact_1194,axiom,(+ chea(aufliegen_1_1,aufliegen_2_1) )).++fof(fact_1195,axiom,(+ chea(auflisten_1_1,auflisten_2_1) )).++fof(fact_1196,axiom,(+ chea(auflisten_1_1,auflistung_1_1) )).++fof(fact_1197,axiom,(+ chea(auflisten_1_1,listen_2_1) )).++fof(fact_1198,axiom,(+ chea(auflisten_1_1,listung_1_1) )).++fof(fact_1199,axiom,(+ chea(auflockern_1_1,auflockerung_1_2) )).++fof(fact_1200,axiom,(+ chea(auflockern_1_1,auflockerung_2_1) )).++fof(fact_1201,axiom,(+ chea(auflockern_1_2,auflockerung_1_1) )).++fof(fact_1202,axiom,(+ chea(auflockern_1_2,lockerung_1_1) )).++fof(fact_1203,axiom,(+ chea(aufl__366sen_2_1,aufl__366sung_1_2) )).++fof(fact_1204,axiom,(+ chea(aufl__366sen_2_2,zersetzung_1_1) )).++fof(fact_1205,axiom,(+ chea(aufl__366sen_2_3,liquidation_1_1) )).++fof(fact_1206,axiom,(+ chea(aufl__366sen_2_3,liquidierung_1_1) )).++fof(fact_1207,axiom,(+ chea(aufmalen_1_1,aufmalen_2_1) )).++fof(fact_1208,axiom,(+ chea(aufmarschieren_1_1,aufmarschieren_2_1) )).++fof(fact_1209,axiom,(+ chea(aufmessen_1_1,aufmessen_2_1) )).++fof(fact_1210,axiom,(+ chea(aufmessen_1_1,aufmessung_1_1) )).++fof(fact_1211,axiom,(+ chea(aufmotzen_1_1,aufmotzen_2_1) )).++fof(fact_1212,axiom,(+ chea(aufmotzen_1_1,aufmotzung_1_1) )).++fof(fact_1213,axiom,(+ chea(aufmotzen_1_1,frisieren_2_1) )).++fof(fact_1214,axiom,(+ chea(aufm__366beln_1_1,aufm__366beln_2_1) )).++fof(fact_1215,axiom,(+ chea(aufn__344hen_1_1,aufn__344hen_2_1) )).++fof(fact_1216,axiom,(+ chea(aufoktroyieren_1_1,oktroyierung_1_1) )).++fof(fact_1217,axiom,(+ chea(aufpeitschen_1_1,aufpeitschen_2_1) )).++fof(fact_1218,axiom,(+ chea(aufpeitschen_1_1,fanatisierung_1_1) )).++fof(fact_1219,axiom,(+ chea(aufpeppen_1_1,aufpeppen_2_1) )).++fof(fact_1220,axiom,(+ chea(aufpflanzen_1_1,aufpflanzen_2_1) )).++fof(fact_1221,axiom,(+ chea(aufpflanzen_1_1,aufpflanzung_1_1) )).++fof(fact_1222,axiom,(+ chea(aufplatzen_1_1,aufplatzen_2_1) )).++fof(fact_1223,axiom,(+ chea(aufpolieren_1_1,aufpolieren_2_1) )).++fof(fact_1224,axiom,(+ chea(aufpolieren_1_1,aufpolierung_1_1) )).++fof(fact_1225,axiom,(+ chea(aufpolieren_1_1,sch__366nen_2_1) )).++fof(fact_1226,axiom,(+ chea(aufpolieren_1_1,sch__366nung_1_1) )).++fof(fact_1227,axiom,(+ chea(aufpoppen_1_1,aufpoppen_2_1) )).++fof(fact_1228,axiom,(+ chea(aufprallen_1_1,aufprallen_2_1) )).++fof(fact_1229,axiom,(+ chea(aufpropfen_1_1,aufpropfen_2_1) )).++fof(fact_1230,axiom,(+ chea(aufpr__344gen_1_1,aufpr__344gen_2_1) )).++fof(fact_1231,axiom,(+ chea(aufpr__344gen_1_1,aufpr__344gung_1_1) )).++fof(fact_1232,axiom,(+ chea(aufputschen_1_1,aufputschen_2_1) )).++fof(fact_1233,axiom,(+ chea(aufputzen_1_1,aufputzen_2_1) )).++fof(fact_1234,axiom,(+ chea(aufputzen_1_1,ausschm__374cken_2_1) )).++fof(fact_1235,axiom,(+ chea(aufputzen_1_1,ausschm__374ckung_1_1) )).++fof(fact_1236,axiom,(+ chea(aufputzen_1_1,dekorieren_2_1) )).++fof(fact_1237,axiom,(+ chea(aufputzen_1_1,dekorierung_1_1) )).++fof(fact_1238,axiom,(+ chea(aufputzen_1_1,feinmachen_2_1) )).++fof(fact_1239,axiom,(+ chea(aufputzen_1_1,garnieren_2_1) )).++fof(fact_1240,axiom,(+ chea(aufputzen_1_1,garnierung_1_1) )).++fof(fact_1241,axiom,(+ chea(aufputzen_1_1,verschn__366rkelung_1_1) )).++fof(fact_1242,axiom,(+ chea(aufp__344ppeln_1_1,aufp__344ppeln_2_1) )).++fof(fact_1243,axiom,(+ chea(aufquellen_1_1,aufquellen_2_1) )).++fof(fact_1244,axiom,(+ chea(aufquellen_1_1,aufquellung_1_1) )).++fof(fact_1245,axiom,(+ chea(aufragen_1_1,aufragung_1_1) )).++fof(fact_1246,axiom,(+ chea(aufrauhen_1_1,aufrauhen_2_1) )).++fof(fact_1247,axiom,(+ chea(aufrauhen_1_1,aufrauhung_1_1) )).++fof(fact_1248,axiom,(+ chea(aufrechnen_1_1,aufrechnen_2_1) )).++fof(fact_1249,axiom,(+ chea(aufrechnen_1_1,aufrechnung_1_1) )).++fof(fact_1250,axiom,(+ chea(aufrechterhalten_1_1,aufrechterhaltung_1_1) )).++fof(fact_1251,axiom,(+ chea(aufregen_1_1,nerven_2_1) )).++fof(fact_1252,axiom,(+ chea(aufreiben_1_3,entnervung_1_1) )).++fof(fact_1253,axiom,(+ chea(aufreiben_1_3,kleinkriegen_2_1) )).++fof(fact_1254,axiom,(+ chea(aufreiben_1_3,zerm__374rben_2_1) )).++fof(fact_1255,axiom,(+ chea(aufreiben_1_3,zerm__374rbung_1_1) )).++fof(fact_1256,axiom,(+ chea(aufreihen_1_1,aufreihen_2_1) )).++fof(fact_1257,axiom,(+ chea(aufreihen_1_1,aufreihung_1_1) )).++fof(fact_1258,axiom,(+ chea(aufreizen_1_1,aufreizung_1_1) )).++fof(fact_1259,axiom,(+ chea(aufrichten_1_1,aufrichtung_1_1) )).++fof(fact_1260,axiom,(+ chea(aufrichten_1_2,aufrichtung_1_2) )).++fof(fact_1261,axiom,(+ chea(aufrollen_1_1,aufrollen_2_1) )).++fof(fact_1262,axiom,(+ chea(aufrollen_1_1,aufrollung_1_1) )).++fof(fact_1263,axiom,(+ chea(aufrufen_1_1,aufruf_1_1) )).++fof(fact_1264,axiom,(+ chea(aufrunden_1_1,aufrunden_2_1) )).++fof(fact_1265,axiom,(+ chea(aufrunden_1_1,aufrundung_1_1) )).++fof(fact_1266,axiom,(+ chea(aufr__344umen_1_1,aufr__344umen_2_1) )).++fof(fact_1267,axiom,(+ chea(aufr__344umen_1_1,aufr__344umung_1_1) )).++fof(fact_1268,axiom,(+ chea(aufr__374cken_1_2,avancierung_1_1) )).++fof(fact_1269,axiom,(+ chea(aufr__374hren_1_1,umr__374hren_2_1) )).++fof(fact_1270,axiom,(+ chea(aufr__374sten_1_1,aufr__374sten_2_1) )).++fof(fact_1271,axiom,(+ chea(aufr__374sten_1_1,aufr__374stung_1_1) )).++fof(fact_1272,axiom,(+ chea(aufr__374tteln_1_1,aufr__374tteln_2_1) )).++fof(fact_1273,axiom,(+ chea(aufr__374tteln_1_1,aufr__374ttelung_1_1) )).++fof(fact_1274,axiom,(+ chea(aufsaugen_1_1,aufsaugen_2_1) )).++fof(fact_1275,axiom,(+ chea(aufschaukeln_1_1,aufschaukeln_2_1) )).++fof(fact_1276,axiom,(+ chea(aufscheinen_1_1,aufscheinen_2_1) )).++fof(fact_1277,axiom,(+ chea(aufscheuchen_1_1,aufscheuchen_2_1) )).++fof(fact_1278,axiom,(+ chea(aufschichten_1_1,aufschichten_2_1) )).++fof(fact_1279,axiom,(+ chea(aufschichten_1_1,aufschichtung_1_1) )).++fof(fact_1280,axiom,(+ chea(aufschieben_1_1,aufschieben_2_1) )).++fof(fact_1281,axiom,(+ chea(aufschieben_1_1,aufschiebung_1_1) )).++fof(fact_1282,axiom,(+ chea(aufschie__337en_1_1,aufschie__337en_2_1) )).++fof(fact_1283,axiom,(+ chea(aufschlitzen_1_1,aufschlitzen_2_1) )).++fof(fact_1284,axiom,(+ chea(aufschlitzen_1_1,aufschlitzung_1_1) )).++fof(fact_1285,axiom,(+ chea(aufschl__344mmen_1_1,aufschl__344mmen_2_1) )).++fof(fact_1286,axiom,(+ chea(aufschl__344mmen_1_1,aufschl__344mmung_1_1) )).++fof(fact_1287,axiom,(+ chea(aufschl__374sseln_1_1,aufschl__374sseln_2_1) )).++fof(fact_1288,axiom,(+ chea(aufschl__374sseln_1_1,aufschl__374sselung_1_1) )).++fof(fact_1289,axiom,(+ chea(aufschneiden_1_1,aufschneiden_2_1) )).++fof(fact_1290,axiom,(+ chea(aufschneiden_1_1,balustrade_1_1) )).++fof(fact_1291,axiom,(+ chea(aufschneiden_1_1,prahlen_2_1) )).++fof(fact_1292,axiom,(+ chea(aufschn__374ren_1_1,aufschn__374ren_2_1) )).++fof(fact_1293,axiom,(+ chea(aufschreiben_1_1,aufschreiben_2_1) )).++fof(fact_1294,axiom,(+ chea(aufschreiben_1_1,aufschreibung_1_1) )).++fof(fact_1295,axiom,(+ chea(aufschwei__337en_1_1,aufschwei__337en_2_1) )).++fof(fact_1296,axiom,(+ chea(aufschwemmen_1_1,aufschwemmen_2_1) )).++fof(fact_1297,axiom,(+ chea(aufschwemmen_1_1,aufschwemmung_1_1) )).++fof(fact_1298,axiom,(+ chea(aufschwingen_1_1,aufschwingen_2_1) )).++fof(fact_1299,axiom,(+ chea(aufschwingen_1_1,aufschwingung_1_1) )).++fof(fact_1300,axiom,(+ chea(aufsch__344umen_1_1,aufsch__344umen_2_1) )).++fof(fact_1301,axiom,(+ chea(aufsch__344umen_1_1,aufsch__344umung_1_1) )).++fof(fact_1302,axiom,(+ chea(aufsch__374tten_1_1,aufsch__374tten_2_1) )).++fof(fact_1303,axiom,(+ chea(aufsch__374tten_1_1,aufsch__374ttung_1_1) )).++fof(fact_1304,axiom,(+ chea(aufsitzen_1_1,aufsitzen_2_1) )).++fof(fact_1305,axiom,(+ chea(aufspalten_1_1,aufspalten_2_1) )).++fof(fact_1306,axiom,(+ chea(aufspalten_1_1,aufspaltung_1_1) )).++fof(fact_1307,axiom,(+ chea(aufspannen_1_1,aufspannen_2_1) )).++fof(fact_1308,axiom,(+ chea(aufspannen_1_1,aufspannung_1_1) )).++fof(fact_1309,axiom,(+ chea(aufsparen_1_1,aufsparen_2_1) )).++fof(fact_1310,axiom,(+ chea(aufspie__337en_1_1,aufspie__337en_2_1) )).++fof(fact_1311,axiom,(+ chea(aufsplitten_1_1,aufsplitten_2_1) )).++fof(fact_1312,axiom,(+ chea(aufsplitten_1_1,aufsplittung_1_1) )).++fof(fact_1313,axiom,(+ chea(aufsplitten_1_1,splitten_2_1) )).++fof(fact_1314,axiom,(+ chea(aufsplitten_1_1,splittung_1_1) )).++fof(fact_1315,axiom,(+ chea(aufsplittern_1_1,aufsplitterung_1_1) )).++fof(fact_1316,axiom,(+ chea(aufsplittern_2_1,aufsplitterung_1_1) )).++fof(fact_1317,axiom,(+ chea(aufsprengen_1_1,aufsprengen_2_1) )).++fof(fact_1318,axiom,(+ chea(aufsprengen_1_1,aufsprengung_1_1) )).++fof(fact_1319,axiom,(+ chea(aufspritzen_1_1,aufspritzen_2_1) )).++fof(fact_1320,axiom,(+ chea(aufspr__374hen_1_1,aufspr__374hen_2_1) )).++fof(fact_1321,axiom,(+ chea(aufspulen_1_1,aufspulen_2_1) )).++fof(fact_1322,axiom,(+ chea(aufsp__374len_1_1,aufsp__374lung_1_1) )).++fof(fact_1323,axiom,(+ chea(aufsp__374ren_1_1,aufsp__374ren_2_1) )).++fof(fact_1324,axiom,(+ chea(aufsp__374ren_1_1,aufsp__374rung_1_1) )).++fof(fact_1325,axiom,(+ chea(aufstallen_1_1,aufstallung_1_1) )).++fof(fact_1326,axiom,(+ chea(aufstapeln_1_1,aufstapeln_2_1) )).++fof(fact_1327,axiom,(+ chea(aufstapfen_1_1,aufstapfen_2_1) )).++fof(fact_1328,axiom,(+ chea(aufstauen_1_1,aufstauen_2_1) )).++fof(fact_1329,axiom,(+ chea(aufstauen_1_1,aufstauung_1_1) )).++fof(fact_1330,axiom,(+ chea(aufstechen_1_1,aufstechen_2_1) )).++fof(fact_1331,axiom,(+ chea(aufstehen_1_1,hochkommen_2_1) )).++fof(fact_1332,axiom,(+ chea(aufstellen_1_1,aufstellung_1_2) )).++fof(fact_1333,axiom,(+ chea(aufstellen_1_3,nomination_1_1) )).++fof(fact_1334,axiom,(+ chea(aufstellen_1_3,nominierung_1_1) )).++fof(fact_1335,axiom,(+ chea(aufstemmen_1_1,aufstemmen_2_1) )).++fof(fact_1336,axiom,(+ chea(aufstocken_1_1,aufstocken_2_1) )).++fof(fact_1337,axiom,(+ chea(aufstocken_1_1,aufstockung_1_1) )).++fof(fact_1338,axiom,(+ chea(aufstreben_1_1,aufstreben_2_1) )).++fof(fact_1339,axiom,(+ chea(aufstreben_1_1,emporstreben_2_1) )).++fof(fact_1340,axiom,(+ chea(aufstreichen_1_1,aufstreichen_2_1) )).++fof(fact_1341,axiom,(+ chea(aufstr__366men_1_1,aufstr__366men_2_1) )).++fof(fact_1342,axiom,(+ chea(aufstufen_1_1,aufstufung_1_1) )).++fof(fact_1343,axiom,(+ chea(aufst__366hnen_1_1,aufst__366hnen_2_1) )).++fof(fact_1344,axiom,(+ chea(aufst__366ren_1_1,aufst__366rung_1_1) )).++fof(fact_1345,axiom,(+ chea(aufst__374lpen_1_1,aufst__374lpung_1_1) )).++fof(fact_1346,axiom,(+ chea(aufst__374tzen_1_1,aufst__374tzen_2_1) )).++fof(fact_1347,axiom,(+ chea(aufsuchen_1_1,aufsuchen_2_1) )).++fof(fact_1348,axiom,(+ chea(aufsuchen_1_1,aufsuchung_1_1) )).++fof(fact_1349,axiom,(+ chea(aufsummieren_1_1,aufsummieren_2_1) )).++fof(fact_1350,axiom,(+ chea(aufsummieren_1_1,aufsummierung_1_1) )).++fof(fact_1351,axiom,(+ chea(auftanken_1_1,auftanken_2_1) )).++fof(fact_1352,axiom,(+ chea(auftauen_1_1,auftauen_2_1) )).++fof(fact_1353,axiom,(+ chea(auftauen_1_1,auftauung_1_1) )).++fof(fact_1354,axiom,(+ chea(aufteilen_1_1,aufteilen_2_1) )).++fof(fact_1355,axiom,(+ chea(aufteilen_1_1,aufteilung_1_1) )).++fof(fact_1356,axiom,(+ chea(auftischen_1_1,auftischen_2_1) )).++fof(fact_1357,axiom,(+ chea(auftreffen_1_1,auftreffen_2_1) )).++fof(fact_1358,axiom,(+ chea(auftrennen_1_1,abtrennung_1_1) )).++fof(fact_1359,axiom,(+ chea(auftrennen_1_1,auftrennen_2_1) )).++fof(fact_1360,axiom,(+ chea(auftrumpfen_1_1,auftrumpfen_2_1) )).++fof(fact_1361,axiom,(+ chea(auft__374rmen_1_1,auft__374rmen_2_1) )).++fof(fact_1362,axiom,(+ chea(auft__374rmen_1_1,auft__374rmung_1_1) )).++fof(fact_1363,axiom,(+ chea(aufwachen_1_1,aufwachen_2_1) )).++fof(fact_1364,axiom,(+ chea(aufwachsen_1_1,aufwachsen_2_1) )).++fof(fact_1365,axiom,(+ chea(aufwallen_1_1,aufwallen_2_1) )).++fof(fact_1366,axiom,(+ chea(aufwallen_1_1,aufwallung_1_1) )).++fof(fact_1367,axiom,(+ chea(aufwarten_1_1,aufwarten_2_1) )).++fof(fact_1368,axiom,(+ chea(aufwarten_1_1,aufwartung_1_1) )).++fof(fact_1369,axiom,(+ chea(aufwaschen_1_1,aufwaschung_1_1) )).++fof(fact_1370,axiom,(+ chea(aufweisen_1_1,aufweisen_2_1) )).++fof(fact_1371,axiom,(+ chea(aufwerten_1_1,aufwerten_2_1) )).++fof(fact_1372,axiom,(+ chea(aufwickeln_1_1,aufwickeln_2_1) )).++fof(fact_1373,axiom,(+ chea(aufwiegen_1_1,abfindung_1_1) )).++fof(fact_1374,axiom,(+ chea(aufwiegen_1_1,kompensieren_2_1) )).++fof(fact_1375,axiom,(+ chea(aufwiegen_1_1,kompensierung_1_1) )).++fof(fact_1376,axiom,(+ chea(aufwirbeln_1_1,aufwirbeln_2_1) )).++fof(fact_1377,axiom,(+ chea(aufwischen_1_1,aufwischen_2_1) )).++fof(fact_1378,axiom,(+ chea(aufw__344ltigen_1_1,aufw__344ltigung_1_1) )).++fof(fact_1379,axiom,(+ chea(aufw__366lben_1_1,aufw__366lben_2_1) )).++fof(fact_1380,axiom,(+ chea(aufw__366lben_1_1,aufw__366lbung_1_1) )).++fof(fact_1381,axiom,(+ chea(aufzahlen_1_1,aufzahlung_1_1) )).++fof(fact_1382,axiom,(+ chea(aufzeichnen_1_1,aufzeichnen_2_1) )).++fof(fact_1383,axiom,(+ chea(aufzeichnen_1_1,aufzeichnung_1_1) )).++fof(fact_1384,axiom,(+ chea(aufzeichnen_1_1,protokollieren_2_1) )).++fof(fact_1385,axiom,(+ chea(aufzeichnen_1_1,protokollierung_1_1) )).++fof(fact_1386,axiom,(+ chea(aufziehen_2_4,gro__337ziehen_2_1) )).++fof(fact_1387,axiom,(+ chea(aufzwingen_1_1,aufzwingen_2_1) )).++fof(fact_1388,axiom,(+ chea(aufz__344hlen_1_1,auff__374hren_2_1) )).++fof(fact_1389,axiom,(+ chea(aufz__344hlen_1_1,aufz__344hlung_1_1) )).++fof(fact_1390,axiom,(+ chea(auf__344sten_1_1,auf__344stung_1_1) )).++fof(fact_1391,axiom,(+ chea(auktionieren_1_1,auktion_1_1) )).++fof(fact_1392,axiom,(+ chea(ausagieren_1_1,ausagieren_2_1) )).++fof(fact_1393,axiom,(+ chea(ausagieren_1_1,ausleben_2_1) )).++fof(fact_1394,axiom,(+ chea(ausagieren_1_1,auslebung_1_1) )).++fof(fact_1395,axiom,(+ chea(ausarbeiten_1_1,ausarbeiten_2_1) )).++fof(fact_1396,axiom,(+ chea(ausarten_1_1,ausarten_2_1) )).++fof(fact_1397,axiom,(+ chea(ausarten_1_1,ausartung_1_1) )).++fof(fact_1398,axiom,(+ chea(ausarten_1_1,eskalation_1_1) )).++fof(fact_1399,axiom,(+ chea(ausarten_1_1,eskalieren_2_1) )).++fof(fact_1400,axiom,(+ chea(ausarten_1_1,eskalierung_1_1) )).++fof(fact_1401,axiom,(+ chea(ausatmen_1_1,ausatmen_2_1) )).++fof(fact_1402,axiom,(+ chea(ausatmen_1_1,ausatmung_1_1) )).++fof(fact_1403,axiom,(+ chea(ausbacken_1_1,ausbacken_2_1) )).++fof(fact_1404,axiom,(+ chea(ausbaden_1_1,ausbaden_2_1) )).++fof(fact_1405,axiom,(+ chea(ausbaden_1_1,b__374__337en_2_1) )).++fof(fact_1406,axiom,(+ chea(ausbaden_1_1,s__374hnen_2_1) )).++fof(fact_1407,axiom,(+ chea(ausbaden_1_1,s__374hnung_1_1) )).++fof(fact_1408,axiom,(+ chea(ausbalancieren_1_1,ausbalancierung_1_1) )).++fof(fact_1409,axiom,(+ chea(ausbalancieren_1_2,ausbalancierung_1_1) )).++fof(fact_1410,axiom,(+ chea(ausbauchen_1_1,ausbauchen_2_1) )).++fof(fact_1411,axiom,(+ chea(ausbauchen_1_1,ausbauchung_1_1) )).++fof(fact_1412,axiom,(+ chea(ausbauen_1_3,ausbau__1_1) )).++fof(fact_1413,axiom,(+ chea(ausbeinen_1_1,ausbeinen_2_1) )).++fof(fact_1414,axiom,(+ chea(ausbessern_1_1,ausbessern_2_1) )).++fof(fact_1415,axiom,(+ chea(ausbessern_1_1,ausbesserung_1_1) )).++fof(fact_1416,axiom,(+ chea(ausbessern_1_1,flicken_2_1) )).++fof(fact_1417,axiom,(+ chea(ausbeulen_1_1,ausbeulen_2_1) )).++fof(fact_1418,axiom,(+ chea(ausbeulen_1_1,ausbeulung_1_1) )).++fof(fact_1419,axiom,(+ chea(ausbeuten_1_1,ausbeuten_2_1) )).++fof(fact_1420,axiom,(+ chea(ausbeuten_1_1,ausbeutung_1_1) )).++fof(fact_1421,axiom,(+ chea(ausbiegen_1_1,ausbiegung_1_1) )).++fof(fact_1422,axiom,(+ chea(ausbieten_1_1,ausbieten_2_1) )).++fof(fact_1423,axiom,(+ chea(ausbilden_1_2,ausbildung_1_2) )).++fof(fact_1424,axiom,(+ chea(ausbinden_1_1,ausbinden_2_1) )).++fof(fact_1425,axiom,(+ chea(ausblasen_1_1,ausblasen_2_1) )).++fof(fact_1426,axiom,(+ chea(ausblasen_1_1,ausblasung_1_1) )).++fof(fact_1427,axiom,(+ chea(ausbleiben_1_1,ausbleiben_2_1) )).++fof(fact_1428,axiom,(+ chea(ausbleichen_1_1,ausbleichen_2_1) )).++fof(fact_1429,axiom,(+ chea(ausbleichen_1_1,ausbleichung_1_1) )).++fof(fact_1430,axiom,(+ chea(ausblenden_1_1,ausblenden_2_1) )).++fof(fact_1431,axiom,(+ chea(ausblenden_1_1,ausblendung_1_1) )).++fof(fact_1432,axiom,(+ chea(ausblicken_1_1,ausblicken_2_1) )).++fof(fact_1433,axiom,(+ chea(ausbluten_1_1,ausbluten_2_1) )).++fof(fact_1434,axiom,(+ chea(ausbluten_1_1,ausblutung_1_1) )).++fof(fact_1435,axiom,(+ chea(ausbohren_1_1,ausbohren_2_1) )).++fof(fact_1436,axiom,(+ chea(ausbomben_1_1,ausbomben_2_1) )).++fof(fact_1437,axiom,(+ chea(ausbomben_1_1,ausbombung_1_1) )).++fof(fact_1438,axiom,(+ chea(ausbooten_1_1,ausbooten_2_1) )).++fof(fact_1439,axiom,(+ chea(ausbooten_1_1,ausbootung_1_1) )).++fof(fact_1440,axiom,(+ chea(ausbreiten_1_1,ausbreitung_1_2) )).++fof(fact_1441,axiom,(+ chea(ausbreiten_1_2,ausbreiten_2_1) )).++fof(fact_1442,axiom,(+ chea(ausbreiten_1_3,auslassung_1_2) )).++fof(fact_1443,axiom,(+ chea(ausbremsen_1_1,ausbremsen_2_1) )).++fof(fact_1444,axiom,(+ chea(ausbrennen_1_1,ausbrennen_2_1) )).++fof(fact_1445,axiom,(+ chea(ausbrennen_1_1,ausbrennung_1_1) )).++fof(fact_1446,axiom,(+ chea(ausbuchen_1_1,ausbuchung_1_1) )).++fof(fact_1447,axiom,(+ chea(ausbuchten_1_1,ausbuchtung_1_1) )).++fof(fact_1448,axiom,(+ chea(ausbuddeln_1_1,ausbuddeln_2_1) )).++fof(fact_1449,axiom,(+ chea(ausbuddeln_1_1,ausschachten_2_1) )).++fof(fact_1450,axiom,(+ chea(ausbuddeln_1_1,ausschachtung_1_1) )).++fof(fact_1451,axiom,(+ chea(ausbuhen_1_1,auspfeifen_2_1) )).++fof(fact_1452,axiom,(+ chea(ausb__374geln_1_1,ausb__374geln_2_1) )).++fof(fact_1453,axiom,(+ chea(ausb__374geln_1_1,wettmachen_2_1) )).++fof(fact_1454,axiom,(+ chea(ausb__374rsten_1_1,ausb__374rsten_2_1) )).++fof(fact_1455,axiom,(+ chea(ausdauern_1_1,ausharren_2_1) )).++fof(fact_1456,axiom,(+ chea(ausdehnen_1_1,ausdehnen_2_1) )).++fof(fact_1457,axiom,(+ chea(ausdehnen_1_1,ausdehnung_1_1) )).++fof(fact_1458,axiom,(+ chea(ausdehnen_1_1,expandieren_2_1) )).++fof(fact_1459,axiom,(+ chea(ausdehnen_1_1,expandierung_1_1) )).++fof(fact_1460,axiom,(+ chea(ausdenken_1_1,ausdenken_2_1) )).++fof(fact_1461,axiom,(+ chea(ausdeuten_1_1,ausdeuten_2_1) )).++fof(fact_1462,axiom,(+ chea(ausdifferenzieren_1_1,ausdifferenzieren_2_1) )).++fof(fact_1463,axiom,(+ chea(ausdifferenzieren_1_1,ausdifferenzierung_1_1) )).++fof(fact_1464,axiom,(+ chea(ausdocken_1_1,ausdocken_2_1) )).++fof(fact_1465,axiom,(+ chea(ausdocken_1_1,ausdockung_1_1) )).++fof(fact_1466,axiom,(+ chea(ausdorren_1_1,austrocknen_2_1) )).++fof(fact_1467,axiom,(+ chea(ausdorren_1_1,austrocknung_1_1) )).++fof(fact_1468,axiom,(+ chea(ausdorren_1_1,vertrocknen_2_1) )).++fof(fact_1469,axiom,(+ chea(ausdorren_1_1,vertrocknung_1_1) )).++fof(fact_1470,axiom,(+ chea(ausdrehen_1_1,ausdrehen_2_1) )).++fof(fact_1471,axiom,(+ chea(ausdreschen_1_1,ausdreschen_2_1) )).++fof(fact_1472,axiom,(+ chea(ausdrucken_1_1,ausdrucken_2_1) )).++fof(fact_1473,axiom,(+ chea(ausdunsten_1_1,ausdunstung_1_1) )).++fof(fact_1474,axiom,(+ chea(ausd__366rren_1_1,ausd__366rren_2_1) )).++fof(fact_1475,axiom,(+ chea(ausd__374nnen_1_1,ausd__374nnen_2_1) )).++fof(fact_1476,axiom,(+ chea(ausd__374nnen_1_1,ausd__374nnung_1_1) )).++fof(fact_1477,axiom,(+ chea(ausd__374nsten_1_1,ausd__374nstung_1_1) )).++fof(fact_1478,axiom,(+ chea(auseinanderbrechen_1_1,auseinanderbrechen_2_1) )).++fof(fact_1479,axiom,(+ chea(auseinanderdividieren_1_1,auseinanderdividieren_2_1) )).++fof(fact_1480,axiom,(+ chea(auseinanderfallen_1_1,auseinanderfallen_2_1) )).++fof(fact_1481,axiom,(+ chea(auseinandergehen_1_1,auseinandergehen_2_1) )).++fof(fact_1482,axiom,(+ chea(auseinanderhalten_1_1,auseinanderhalten_2_1) )).++fof(fact_1483,axiom,(+ chea(auseinanderlaufen_1_1,auseinanderlaufen_2_1) )).++fof(fact_1484,axiom,(+ chea(auseinanderleben_1_1,auseinanderleben_2_1) )).++fof(fact_1485,axiom,(+ chea(auseinandernehmen_1_1,auseinandernehmen_2_1) )).++fof(fact_1486,axiom,(+ chea(auseinandernehmen_1_1,tranchieren_2_1) )).++fof(fact_1487,axiom,(+ chea(auseinanderrei__337en_1_1,auseinanderrei__337en_2_1) )).++fof(fact_1488,axiom,(+ chea(auseinandersetzen_1_1,auseinandersetzung_1_2) )).++fof(fact_1489,axiom,(+ chea(auseinandersetzen_1_2,auseinandersetzung_1_1) )).++fof(fact_1490,axiom,(+ chea(auseinandersetzen_1_3,auseinandersetzung_1_3) )).++fof(fact_1491,axiom,(+ chea(auserw__344hlen_1_1,auserw__344hlung_1_1) )).++fof(fact_1492,axiom,(+ chea(ausfechten_1_1,ausfechten_2_1) )).++fof(fact_1493,axiom,(+ chea(ausfeilen_1_1,ausfeilen_2_1) )).++fof(fact_1494,axiom,(+ chea(ausfertigen_1_1,ausfertigung_1_1) )).++fof(fact_1495,axiom,(+ chea(ausflaggen_1_1,ausflaggen_2_1) )).++fof(fact_1496,axiom,(+ chea(ausflaggen_1_1,ausflaggung_1_1) )).++fof(fact_1497,axiom,(+ chea(ausfliegen_1_1,ausfliegen_2_1) )).++fof(fact_1498,axiom,(+ chea(ausflie__337en_1_1,ausflie__337en_2_1) )).++fof(fact_1499,axiom,(+ chea(ausflie__337en_1_1,ausstr__366men_2_1) )).++fof(fact_1500,axiom,(+ chea(ausflie__337en_1_1,ausstr__366mung_1_1) )).++fof(fact_1501,axiom,(+ chea(ausflippen_1_1,ausflippen_2_1) )).++fof(fact_1502,axiom,(+ chea(ausflippen_1_1,ausklinken_2_1) )).++fof(fact_1503,axiom,(+ chea(ausflippen_1_1,durchdrehen_2_1) )).++fof(fact_1504,axiom,(+ chea(ausflocken_1_1,ausflocken_2_1) )).++fof(fact_1505,axiom,(+ chea(ausflocken_1_1,ausflockung_1_1) )).++fof(fact_1506,axiom,(+ chea(ausflocken_1_1,flocken_2_1) )).++fof(fact_1507,axiom,(+ chea(ausflocken_1_1,flockung_1_1) )).++fof(fact_1508,axiom,(+ chea(ausfolgen_1_1,ausfolgung_1_1) )).++fof(fact_1509,axiom,(+ chea(ausformen_1_1,ausformen_2_1) )).++fof(fact_1510,axiom,(+ chea(ausformen_1_1,ausformung_1_1) )).++fof(fact_1511,axiom,(+ chea(ausformulieren_1_1,ausformulieren_2_1) )).++fof(fact_1512,axiom,(+ chea(ausformulieren_1_1,ausformulierung_1_1) )).++fof(fact_1513,axiom,(+ chea(ausforschen_1_1,ausforschen_2_1) )).++fof(fact_1514,axiom,(+ chea(ausforschen_1_1,ausforschung_1_1) )).++fof(fact_1515,axiom,(+ chea(ausfragen_1_1,ausfragen_2_1) )).++fof(fact_1516,axiom,(+ chea(ausfragen_1_1,ausfragung_1_1) )).++fof(fact_1517,axiom,(+ chea(ausfransen_1_1,ausfransen_2_1) )).++fof(fact_1518,axiom,(+ chea(ausfransen_1_1,ausfransung_1_1) )).++fof(fact_1519,axiom,(+ chea(ausfressen_1_1,delikt_1_1) )).++fof(fact_1520,axiom,(+ chea(ausfugen_1_1,ausfugung_1_1) )).++fof(fact_1521,axiom,(+ chea(ausf__344deln_1_1,ausf__344deln_2_1) )).++fof(fact_1522,axiom,(+ chea(ausf__344llen_1_1,ausf__344llen_2_1) )).++fof(fact_1523,axiom,(+ chea(ausf__344llen_1_1,ausf__344llung_1_1) )).++fof(fact_1524,axiom,(+ chea(ausf__374hren_1_1,exportieren_2_1) )).++fof(fact_1525,axiom,(+ chea(ausf__374hren_1_1,exportierung_1_1) )).++fof(fact_1526,axiom,(+ chea(ausf__374hren_1_2,ausf__374hrung_1_3) )).++fof(fact_1527,axiom,(+ chea(ausf__374hren_1_3,ausf__374hrung_1_2) )).++fof(fact_1528,axiom,(+ chea(ausf__374llen_1_1,ausf__374llung_1_1) )).++fof(fact_1529,axiom,(+ chea(ausgasen_1_1,ausgasen_2_1) )).++fof(fact_1530,axiom,(+ chea(ausgasen_1_1,ausgasung_1_1) )).++fof(fact_1531,axiom,(+ chea(ausgestalten_1_1,ausgestalten_2_1) )).++fof(fact_1532,axiom,(+ chea(ausgestalten_1_1,ausgestaltung_1_1) )).++fof(fact_1533,axiom,(+ chea(ausgie__337en_1_1,ausgie__337en_2_1) )).++fof(fact_1534,axiom,(+ chea(ausgie__337en_1_1,ausgie__337ung_1_1) )).++fof(fact_1535,axiom,(+ chea(ausgleichen_1_1,ausgleichung_1_1) )).++fof(fact_1536,axiom,(+ chea(ausgleichen_1_2,ausgleichung_1_2) )).++fof(fact_1537,axiom,(+ chea(ausgleichen_1_3,begleichen_2_1) )).++fof(fact_1538,axiom,(+ chea(ausgleichen_1_3,begleichung_1_1) )).++fof(fact_1539,axiom,(+ chea(ausgleiten_1_1,ausgleiten_2_1) )).++fof(fact_1540,axiom,(+ chea(ausgleiten_1_1,ausrutschen_2_1) )).++fof(fact_1541,axiom,(+ chea(ausgl__374hen_1_1,ausgl__374hen_2_1) )).++fof(fact_1542,axiom,(+ chea(ausgraben_1_1,ausgrabung_1_1) )).++fof(fact_1543,axiom,(+ chea(ausgreifen_1_1,ausgreifen_2_1) )).++fof(fact_1544,axiom,(+ chea(ausgrenzen_1_1,ausgrenzen_2_1) )).++fof(fact_1545,axiom,(+ chea(ausgrenzen_1_1,ausgrenzung_1_1) )).++fof(fact_1546,axiom,(+ chea(ausgrenzen_1_1,diskrimination_1_1) )).++fof(fact_1547,axiom,(+ chea(ausgrenzen_1_1,diskriminieren_2_1) )).++fof(fact_1548,axiom,(+ chea(ausgrenzen_1_1,diskriminierung_1_1) )).++fof(fact_1549,axiom,(+ chea(ausgr__374nden_1_1,ausgr__374nden_2_1) )).++fof(fact_1550,axiom,(+ chea(ausgr__374nden_1_1,ausgr__374ndung_1_1) )).++fof(fact_1551,axiom,(+ chea(ausg__344ren_1_1,ausg__344rung_1_1) )).++fof(fact_1552,axiom,(+ chea(aushandeln_1_1,aushandlung_1_1) )).++fof(fact_1553,axiom,(+ chea(aushauchen_1_1,aushauchen_2_1) )).++fof(fact_1554,axiom,(+ chea(aushauen_1_1,aushauen_2_1) )).++fof(fact_1555,axiom,(+ chea(aushebeln_1_1,aushebeln_2_1) )).++fof(fact_1556,axiom,(+ chea(ausheben_1_1,aushebung_1_1) )).++fof(fact_1557,axiom,(+ chea(ausheben_1_2,aushebung_1_2) )).++fof(fact_1558,axiom,(+ chea(ausheilen_1_1,ausheilen_2_1) )).++fof(fact_1559,axiom,(+ chea(ausheilen_1_1,ausheilung_1_1) )).++fof(fact_1560,axiom,(+ chea(aushelfen_1_2,einspringen_2_1) )).++fof(fact_1561,axiom,(+ chea(ausholen_1_1,ausholen_2_1) )).++fof(fact_1562,axiom,(+ chea(ausholzen_1_1,ausholzen_2_1) )).++fof(fact_1563,axiom,(+ chea(ausholzen_1_1,ausholzung_1_1) )).++fof(fact_1564,axiom,(+ chea(aushorchen_1_1,aushorchen_2_1) )).++fof(fact_1565,axiom,(+ chea(aushorchen_1_1,aushorchung_1_1) )).++fof(fact_1566,axiom,(+ chea(aushorsten_1_1,aushorstung_1_1) )).++fof(fact_1567,axiom,(+ chea(aushusten_1_1,aushusten_2_1) )).++fof(fact_1568,axiom,(+ chea(aush__344ndigen_1_1,aush__344ndigen_2_1) )).++fof(fact_1569,axiom,(+ chea(aush__344ndigen_1_1,aush__344ndigung_1_1) )).++fof(fact_1570,axiom,(+ chea(aush__344ngen_1_1,aush__344ngen_2_1) )).++fof(fact_1571,axiom,(+ chea(aush__344ngen_1_1,aush__344ngung_1_1) )).++fof(fact_1572,axiom,(+ chea(aush__344rten_1_1,aush__344rten_2_1) )).++fof(fact_1573,axiom,(+ chea(aush__344rten_1_1,aush__344rtung_1_1) )).++fof(fact_1574,axiom,(+ chea(aush__344rten_1_1,h__344rtung_1_1) )).++fof(fact_1575,axiom,(+ chea(aush__344rten_1_1,verh__344rtung_1_1) )).++fof(fact_1576,axiom,(+ chea(aush__344rten_1_1,vulkanisation_1_1) )).++fof(fact_1577,axiom,(+ chea(aush__344rten_1_1,vulkanisieren_2_1) )).++fof(fact_1578,axiom,(+ chea(aush__344rten_1_1,vulkanisierung_1_1) )).++fof(fact_1579,axiom,(+ chea(aush__366hlen_1_1,aush__366hlung_1_1) )).++fof(fact_1580,axiom,(+ chea(aush__366hlen_1_2,abzehrung_1_1) )).++fof(fact_1581,axiom,(+ chea(aush__366hlen_1_2,aush__366hlung_1_2) )).++fof(fact_1582,axiom,(+ chea(aush__366hlen_1_2,auslaugen_2_1) )).++fof(fact_1583,axiom,(+ chea(aush__366hlen_1_2,auslaugung_1_1) )).++fof(fact_1584,axiom,(+ chea(auskehlen_1_1,auskehlen_2_1) )).++fof(fact_1585,axiom,(+ chea(auskehlen_1_1,auskehlung_1_1) )).++fof(fact_1586,axiom,(+ chea(auskeimen_1_1,auskeimen_2_1) )).++fof(fact_1587,axiom,(+ chea(auskerben_1_1,auskerbung_1_1) )).++fof(fact_1588,axiom,(+ chea(auskernen_1_1,auskernung_1_1) )).++fof(fact_1589,axiom,(+ chea(ausklammern_1_1,ausklammerung_1_1) )).++fof(fact_1590,axiom,(+ chea(ausklappen_1_1,ausklappen_2_1) )).++fof(fact_1591,axiom,(+ chea(ausklarieren_1_1,ausklarieren_2_1) )).++fof(fact_1592,axiom,(+ chea(auskleiden_1_1,auskleiden_2_1) )).++fof(fact_1593,axiom,(+ chea(auskleiden_1_1,auskleidung_1_1) )).++fof(fact_1594,axiom,(+ chea(auskleiden_1_1,entbl__366__337en_2_1) )).++fof(fact_1595,axiom,(+ chea(auskleiden_1_1,entbl__366__337ung_1_1) )).++fof(fact_1596,axiom,(+ chea(ausklingen_1_1,ausklingen_2_1) )).++fof(fact_1597,axiom,(+ chea(ausklopfen_1_1,ausklopfen_2_1) )).++fof(fact_1598,axiom,(+ chea(auskochen_1_1,auskochen_2_1) )).++fof(fact_1599,axiom,(+ chea(auskolken_1_1,auskolkung_1_1) )).++fof(fact_1600,axiom,(+ chea(auskoppeln_1_1,auskoppeln_2_1) )).++fof(fact_1601,axiom,(+ chea(auskosten_1_1,auskosten_2_1) )).++fof(fact_1602,axiom,(+ chea(auskotzen_1_1,ausspucken_2_1) )).++fof(fact_1603,axiom,(+ chea(auskragen_1_1,auskragung_1_1) )).++fof(fact_1604,axiom,(+ chea(auskratzen_1_1,auskratzen_2_1) )).++fof(fact_1605,axiom,(+ chea(auskratzen_1_1,auskratzung_1_1) )).++fof(fact_1606,axiom,(+ chea(auskristallisieren_1_1,auskristallisation_1_1) )).++fof(fact_1607,axiom,(+ chea(auskristallisieren_1_1,auskristallisieren_2_1) )).++fof(fact_1608,axiom,(+ chea(auskristallisieren_1_1,auskristallisierung_1_1) )).++fof(fact_1609,axiom,(+ chea(auskugeln_1_1,auskugeln_2_1) )).++fof(fact_1610,axiom,(+ chea(auskugeln_1_1,ausrenken_2_1) )).++fof(fact_1611,axiom,(+ chea(auskugeln_1_1,ausrenkung_1_1) )).++fof(fact_1612,axiom,(+ chea(auskugeln_1_1,luxation_1_1) )).++fof(fact_1613,axiom,(+ chea(auskultieren_1_1,auskultation_1_1) )).++fof(fact_1614,axiom,(+ chea(auskultieren_1_1,auskultieren_2_1) )).++fof(fact_1615,axiom,(+ chea(auskundschaften_1_1,auskundschaften_2_1) )).++fof(fact_1616,axiom,(+ chea(auskundschaften_1_1,auskundschaftung_1_1) )).++fof(fact_1617,axiom,(+ chea(auskuppeln_1_1,auskuppeln_2_1) )).++fof(fact_1618,axiom,(+ chea(auskurieren_1_1,auskurieren_2_1) )).++fof(fact_1619,axiom,(+ chea(auskurieren_1_1,auskurierung_1_1) )).++fof(fact_1620,axiom,(+ chea(ausk__344mmen_1_1,ausk__344mmen_2_1) )).++fof(fact_1621,axiom,(+ chea(ausk__374hlen_1_1,ausk__374hlung_1_1) )).++fof(fact_1622,axiom,(+ chea(ausk__374hlen_2_1,ausk__374hlung_1_2) )).++fof(fact_1623,axiom,(+ chea(auslachen_1_1,verlachen_2_1) )).++fof(fact_1624,axiom,(+ chea(ausladen_1_1,ausladung_1_1) )).++fof(fact_1625,axiom,(+ chea(ausladen_1_2,ausladung_1_2) )).++fof(fact_1626,axiom,(+ chea(auslagern_1_1,ausgliederung_1_1) )).++fof(fact_1627,axiom,(+ chea(auslangen_1_1,auslangen_2_1) )).++fof(fact_1628,axiom,(+ chea(auslassen_1_1,auslassung_1_1) )).++fof(fact_1629,axiom,(+ chea(auslassen_1_1,aussparen_2_1) )).++fof(fact_1630,axiom,(+ chea(auslassen_1_1,aussparung_1_1) )).++fof(fact_1631,axiom,(+ chea(auslassen_1_1,weglassen_2_1) )).++fof(fact_1632,axiom,(+ chea(auslassen_1_1,weglassung_1_1) )).++fof(fact_1633,axiom,(+ chea(auslasten_1_1,auslastung_1_1) )).++fof(fact_1634,axiom,(+ chea(auslecken_1_1,auslecken_2_1) )).++fof(fact_1635,axiom,(+ chea(ausleeren_1_1,ausleeren_2_1) )).++fof(fact_1636,axiom,(+ chea(ausleeren_1_1,ausleerung_1_1) )).++fof(fact_1637,axiom,(+ chea(ausleeren_1_1,entleeren_2_1) )).++fof(fact_1638,axiom,(+ chea(ausleeren_1_1,entleerung_1_1) )).++fof(fact_1639,axiom,(+ chea(auslegen_1_1,auslegen_2_1) )).++fof(fact_1640,axiom,(+ chea(auslegen_1_1,auslegung_1_1) )).++fof(fact_1641,axiom,(+ chea(ausleihen_1_1,ausleihen_2_1) )).++fof(fact_1642,axiom,(+ chea(ausleihen_1_1,ausleihung_1_1) )).++fof(fact_1643,axiom,(+ chea(auslesen_1_1,auslesen_2_1) )).++fof(fact_1644,axiom,(+ chea(auslesen_1_1,auslesung_1_1) )).++fof(fact_1645,axiom,(+ chea(ausleuchten_1_1,ausleuchten_2_1) )).++fof(fact_1646,axiom,(+ chea(ausleuchten_1_1,ausleuchtung_1_1) )).++fof(fact_1647,axiom,(+ chea(auslichten_1_1,auslichten_2_1) )).++fof(fact_1648,axiom,(+ chea(auslichten_1_1,auslichtung_1_1) )).++fof(fact_1649,axiom,(+ chea(ausliefern_1_1,anlieferung_1_1) )).++fof(fact_1650,axiom,(+ chea(ausloben_1_1,ausloben_2_1) )).++fof(fact_1651,axiom,(+ chea(ausloben_1_1,auslobung_1_1) )).++fof(fact_1652,axiom,(+ chea(auslosen_1_1,auslosen_2_1) )).++fof(fact_1653,axiom,(+ chea(auslosen_1_1,auslosung_1_1) )).++fof(fact_1654,axiom,(+ chea(ausloten_1_1,ausloten_2_1) )).++fof(fact_1655,axiom,(+ chea(ausloten_1_1,auslotung_1_1) )).++fof(fact_1656,axiom,(+ chea(auslutschen_1_1,aussaugen_2_1) )).++fof(fact_1657,axiom,(+ chea(auslutschen_1_1,nuckeln_2_1) )).++fof(fact_1658,axiom,(+ chea(ausl__344uten_1_1,ausl__344uten_2_1) )).++fof(fact_1659,axiom,(+ chea(ausl__366schen_1_1,ausl__366schen_2_1) )).++fof(fact_1660,axiom,(+ chea(ausl__366schen_1_1,ausl__366schung_1_1) )).++fof(fact_1661,axiom,(+ chea(ausl__366sen_1_1,ausl__366sung_1_1) )).++fof(fact_1662,axiom,(+ chea(ausl__366sen_1_2,ausl__366sung_1_2) )).++fof(fact_1663,axiom,(+ chea(ausmachen_1_4,sichtung_1_1) )).++fof(fact_1664,axiom,(+ chea(ausmahlen_1_1,ausmahlung_1_1) )).++fof(fact_1665,axiom,(+ chea(ausmalen_1_1,ausmalung_1_1) )).++fof(fact_1666,axiom,(+ chea(ausmalen_1_2,ausmalung_1_2) )).++fof(fact_1667,axiom,(+ chea(ausmarchen_1_1,ausmarchung_1_1) )).++fof(fact_1668,axiom,(+ chea(ausmerzen_1_1,ausmerzen_2_1) )).++fof(fact_1669,axiom,(+ chea(ausmerzen_1_1,ausmerzung_1_1) )).++fof(fact_1670,axiom,(+ chea(ausmessen_1_1,ausmessen_2_1) )).++fof(fact_1671,axiom,(+ chea(ausmessen_1_1,ausmessung_1_1) )).++fof(fact_1672,axiom,(+ chea(ausmieten_1_1,ausmietung_1_1) )).++fof(fact_1673,axiom,(+ chea(ausmisten_1_1,ausmisten_2_1) )).++fof(fact_1674,axiom,(+ chea(ausmisten_1_1,ausmistung_1_1) )).++fof(fact_1675,axiom,(+ chea(ausmustern_1_1,ausmusterung_1_1) )).++fof(fact_1676,axiom,(+ chea(ausmustern_1_2,ausmusterung_1_2) )).++fof(fact_1677,axiom,(+ chea(ausm__374nden_1_1,ausm__374ndung_1_1) )).++fof(fact_1678,axiom,(+ chea(ausm__374nzen_1_1,ausm__374nzung_1_1) )).++fof(fact_1679,axiom,(+ chea(ausnehmen_1_1,ausnehmen_2_1) )).++fof(fact_1680,axiom,(+ chea(ausnehmen_1_1,ausnehmung_1_1) )).++fof(fact_1681,axiom,(+ chea(ausnutzen_1_1,ausnutzung_1_1) )).++fof(fact_1682,axiom,(+ chea(ausnutzen_1_2,ausnutzung_1_2) )).++fof(fact_1683,axiom,(+ chea(ausn__374tzen_1_1,ausn__374tzen_2_1) )).++fof(fact_1684,axiom,(+ chea(ausn__374tzen_1_1,ausn__374tzung_1_1) )).++fof(fact_1685,axiom,(+ chea(ausparken_1_1,ausparken_2_1) )).++fof(fact_1686,axiom,(+ chea(auspeitschen_1_1,auspeitschen_2_1) )).++fof(fact_1687,axiom,(+ chea(auspeitschen_1_1,auspeitschung_1_1) )).++fof(fact_1688,axiom,(+ chea(auspendeln_1_1,auspendeln_2_1) )).++fof(fact_1689,axiom,(+ chea(auspflanzen_1_1,auspflanzen_2_1) )).++fof(fact_1690,axiom,(+ chea(auspflanzen_1_1,auspflanzung_1_1) )).++fof(fact_1691,axiom,(+ chea(ausplaudern_1_1,ausposaunen_2_1) )).++fof(fact_1692,axiom,(+ chea(auspl__374ndern_1_1,ausrauben_2_1) )).++fof(fact_1693,axiom,(+ chea(auspl__374ndern_1_1,ausraubung_1_1) )).++fof(fact_1694,axiom,(+ chea(auspreisen_1_1,auspreisung_1_1) )).++fof(fact_1695,axiom,(+ chea(auspressen_1_1,auspressen_2_1) )).++fof(fact_1696,axiom,(+ chea(auspressen_1_1,auspressung_1_1) )).++fof(fact_1697,axiom,(+ chea(auspressen_1_1,ausquetschen_2_1) )).++fof(fact_1698,axiom,(+ chea(ausprobieren_1_1,ausprobieren_2_1) )).++fof(fact_1699,axiom,(+ chea(ausprobieren_1_1,austesten_2_1) )).++fof(fact_1700,axiom,(+ chea(ausprobieren_1_1,austestung_1_1) )).++fof(fact_1701,axiom,(+ chea(ausprobieren_1_1,erproben_2_1) )).++fof(fact_1702,axiom,(+ chea(ausprobieren_1_1,erprobung_1_1) )).++fof(fact_1703,axiom,(+ chea(auspr__344gen_1_1,auspr__344gung_1_1) )).++fof(fact_1704,axiom,(+ chea(auspr__344gen_1_2,auspr__344gung_1_2) )).++fof(fact_1705,axiom,(+ chea(ausquartieren_1_1,ausquartierung_1_1) )).++fof(fact_1706,axiom,(+ chea(ausquartieren_1_1,delogierung_1_1) )).++fof(fact_1707,axiom,(+ chea(ausradieren_1_1,ausradieren_2_1) )).++fof(fact_1708,axiom,(+ chea(ausradieren_1_1,ausradierung_1_1) )).++fof(fact_1709,axiom,(+ chea(ausrangieren_1_1,ausrangieren_2_1) )).++fof(fact_1710,axiom,(+ chea(ausrangieren_1_1,ausrangierung_1_1) )).++fof(fact_1711,axiom,(+ chea(ausrasten_1_1,ausrasten_2_1) )).++fof(fact_1712,axiom,(+ chea(ausrechnen_1_1,ausrechnen_2_1) )).++fof(fact_1713,axiom,(+ chea(ausrechnen_1_1,ausrechnung_1_1) )).++fof(fact_1714,axiom,(+ chea(ausrecken_1_1,ausrecken_2_1) )).++fof(fact_1715,axiom,(+ chea(ausreden_1_1,ausreden_2_1) )).++fof(fact_1716,axiom,(+ chea(ausreiben_1_1,ausreiben_2_1) )).++fof(fact_1717,axiom,(+ chea(ausreichen_1_1,ausreichen_2_1) )).++fof(fact_1718,axiom,(+ chea(ausreichen_1_1,ausreichung_1_1) )).++fof(fact_1719,axiom,(+ chea(ausreichen_1_1,gen__374gen_2_1) )).++fof(fact_1720,axiom,(+ chea(ausreifen_1_1,ausreifung_1_1) )).++fof(fact_1721,axiom,(+ chea(ausreisen_1_1,ausreise__1_1) )).++fof(fact_1722,axiom,(+ chea(ausreisen_1_1,ausreisen_2_1) )).++fof(fact_1723,axiom,(+ chea(ausreiten_1_1,ausreiten_2_1) )).++fof(fact_1724,axiom,(+ chea(ausreizen_1_1,abgeschlagenheit_1_1) )).++fof(fact_1725,axiom,(+ chea(ausreizen_1_1,ausreizen_2_1) )).++fof(fact_1726,axiom,(+ chea(ausreizen_1_1,ausreizung_1_1) )).++fof(fact_1727,axiom,(+ chea(ausreizen_1_1,aussch__366pfen_2_1) )).++fof(fact_1728,axiom,(+ chea(ausreizen_1_1,aussch__366pfung_1_1) )).++fof(fact_1729,axiom,(+ chea(ausreizen_1_1,ersch__366pfen_2_1) )).++fof(fact_1730,axiom,(+ chea(ausrichten_1_3,weiterleiten_2_1) )).++fof(fact_1731,axiom,(+ chea(ausrichten_1_3,weiterleitung_1_1) )).++fof(fact_1732,axiom,(+ chea(ausroden_1_1,ausrodung_1_1) )).++fof(fact_1733,axiom,(+ chea(ausrotten_1_1,ausrotten_2_1) )).++fof(fact_1734,axiom,(+ chea(ausrotten_1_1,austilgung_1_1) )).++fof(fact_1735,axiom,(+ chea(ausrupfen_1_1,ausrupfen_2_1) )).++fof(fact_1736,axiom,(+ chea(ausr__344umen_1_1,ausr__344umung_1_1) )).++fof(fact_1737,axiom,(+ chea(ausr__344umen_1_2,ausr__344umung_1_2) )).++fof(fact_1738,axiom,(+ chea(ausr__374cken_1_1,ausr__374ckung_1_1) )).++fof(fact_1739,axiom,(+ chea(ausr__374sten_1_1,ausr__374sten_2_1) )).++fof(fact_1740,axiom,(+ chea(ausr__374sten_1_1,ausr__374stung_1_1) )).++fof(fact_1741,axiom,(+ chea(ausr__374sten_1_1,best__374cken_2_1) )).++fof(fact_1742,axiom,(+ chea(ausr__374sten_1_1,best__374ckung_1_1) )).++fof(fact_1743,axiom,(+ chea(aussagen_1_1,aussagen_2_1) )).++fof(fact_1744,axiom,(+ chea(ausschaben_1_1,abrasion_1_1) )).++fof(fact_1745,axiom,(+ chea(ausschalen_1_1,ausschalen_2_1) )).++fof(fact_1746,axiom,(+ chea(ausschalen_1_1,ausschalung_1_1) )).++fof(fact_1747,axiom,(+ chea(ausschalten_1_2,ausschaltung_1_1) )).++fof(fact_1748,axiom,(+ chea(ausscheiden_1_1,ausscheidung_1_1) )).++fof(fact_1749,axiom,(+ chea(ausschenken_1_1,ausschenken_2_1) )).++fof(fact_1750,axiom,(+ chea(ausscheren_1_1,ausscheren_2_1) )).++fof(fact_1751,axiom,(+ chea(ausschie__337en_1_1,ausschie__337en_2_1) )).++fof(fact_1752,axiom,(+ chea(ausschiffen_1_1,ausschiffen_2_1) )).++fof(fact_1753,axiom,(+ chea(ausschiffen_1_1,ausschiffung_1_1) )).++fof(fact_1754,axiom,(+ chea(ausschirren_1_1,ausschirren_2_1) )).++fof(fact_1755,axiom,(+ chea(ausschlachten_1_1,ausschlachten_2_1) )).++fof(fact_1756,axiom,(+ chea(ausschlachten_1_1,ausschlachtung_1_1) )).++fof(fact_1757,axiom,(+ chea(ausschlafen_1_1,ausschlafen_2_1) )).++fof(fact_1758,axiom,(+ chea(ausschlie__337en_1_1,ausschlie__337ung_1_1) )).++fof(fact_1759,axiom,(+ chea(ausschlie__337en_1_2,ausschlie__337en_2_1) )).++fof(fact_1760,axiom,(+ chea(ausschlie__337en_1_2,ausschlie__337ung_1_2) )).++fof(fact_1761,axiom,(+ chea(ausschlie__337en_1_3,aussperren_2_1) )).++fof(fact_1762,axiom,(+ chea(ausschlie__337en_1_3,aussperrung_1_1) )).++fof(fact_1763,axiom,(+ chea(ausschl__344mmen_1_1,ausschl__344mmen_2_1) )).++fof(fact_1764,axiom,(+ chea(ausschl__374pfen_1_1,ausschl__374pfen_2_1) )).++fof(fact_1765,axiom,(+ chea(ausschmieren_1_1,ausschmierung_1_1) )).++fof(fact_1766,axiom,(+ chea(ausschnauben_1_1,ausschnauben_2_1) )).++fof(fact_1767,axiom,(+ chea(ausschneiden_1_1,ausschneiden_2_1) )).++fof(fact_1768,axiom,(+ chea(ausschneiden_1_1,ausschneidung_1_1) )).++fof(fact_1769,axiom,(+ chea(ausschneiden_1_1,herausschneiden_2_1) )).++fof(fact_1770,axiom,(+ chea(ausschreiben_1_1,ausschreibung_1_1) )).++fof(fact_1771,axiom,(+ chea(ausschreiten_1_1,ausschreitung_1_1) )).++fof(fact_1772,axiom,(+ chea(ausschweifen_1_1,ausschweifen_2_1) )).++fof(fact_1773,axiom,(+ chea(ausschweifen_1_1,ausschweifung_1_1) )).++fof(fact_1774,axiom,(+ chea(ausschweigen_1_1,verschweigen_2_1) )).++fof(fact_1775,axiom,(+ chea(ausschweigen_1_1,verschweigung_1_1) )).++fof(fact_1776,axiom,(+ chea(ausschwemmen_1_1,ausschwemmen_2_1) )).++fof(fact_1777,axiom,(+ chea(ausschwemmen_1_1,ausschwemmung_1_1) )).++fof(fact_1778,axiom,(+ chea(ausschwenken_1_1,ausschwenken_2_1) )).++fof(fact_1779,axiom,(+ chea(ausschwingen_1_1,ausschwingen_2_1) )).++fof(fact_1780,axiom,(+ chea(ausschwitzen_1_1,ausschwitzen_2_1) )).++fof(fact_1781,axiom,(+ chea(ausschwitzen_1_1,ausschwitzung_1_1) )).++fof(fact_1782,axiom,(+ chea(ausschw__344rmen_1_1,ausschw__344rmen_2_1) )).++fof(fact_1783,axiom,(+ chea(aussch__344len_1_1,aussch__344lung_1_1) )).++fof(fact_1784,axiom,(+ chea(aussegnen_1_1,aussegnung_1_1) )).++fof(fact_1785,axiom,(+ chea(aussenden_1_1,aussendung_1_1) )).++fof(fact_1786,axiom,(+ chea(aussenden_1_2,aussendung_1_2) )).++fof(fact_1787,axiom,(+ chea(aussetzen_1_1,aussetzung_1_1) )).++fof(fact_1788,axiom,(+ chea(aussetzen_1_2,aussetzung_1_2) )).++fof(fact_1789,axiom,(+ chea(aussetzen_1_4,aussetzung_1_4) )).++fof(fact_1790,axiom,(+ chea(aussieben_1_1,aussieben_2_1) )).++fof(fact_1791,axiom,(+ chea(aussieben_1_1,aussiebung_1_1) )).++fof(fact_1792,axiom,(+ chea(aussitzen_1_1,aussitzen_2_1) )).++fof(fact_1793,axiom,(+ chea(aussitzen_1_1,aussitzung_1_1) )).++fof(fact_1794,axiom,(+ chea(aussortieren_1_1,aussortieren_2_1) )).++fof(fact_1795,axiom,(+ chea(aussortieren_1_1,aussortierung_1_1) )).++fof(fact_1796,axiom,(+ chea(ausspannen_1_1,ausspannen_2_1) )).++fof(fact_1797,axiom,(+ chea(ausspannen_1_1,ausspannung_1_1) )).++fof(fact_1798,axiom,(+ chea(ausspeien_1_1,ausspeien_2_1) )).++fof(fact_1799,axiom,(+ chea(ausspielen_1_1,ausspielen_2_1) )).++fof(fact_1800,axiom,(+ chea(ausspielen_1_1,ausspielung_1_1) )).++fof(fact_1801,axiom,(+ chea(ausspinnen_1_1,ausspinnen_2_1) )).++fof(fact_1802,axiom,(+ chea(ausspionieren_1_1,ausspionieren_2_1) )).++fof(fact_1803,axiom,(+ chea(ausspionieren_1_1,ausspionierung_1_1) )).++fof(fact_1804,axiom,(+ chea(ausspionieren_1_1,bespitzeln_2_1) )).++fof(fact_1805,axiom,(+ chea(aussprengen_1_1,aussprengen_2_1) )).++fof(fact_1806,axiom,(+ chea(aussprengen_1_1,aussprengung_1_1) )).++fof(fact_1807,axiom,(+ chea(aussprengen_1_1,ausstreuen_2_1) )).++fof(fact_1808,axiom,(+ chea(aussprengen_1_1,ausstreuung_1_1) )).++fof(fact_1809,axiom,(+ chea(ausspritzen_1_1,ausspritzen_2_1) )).++fof(fact_1810,axiom,(+ chea(ausspritzen_1_1,ausspritzung_1_1) )).++fof(fact_1811,axiom,(+ chea(aussp__344hen_1_1,aussp__344hen_2_1) )).++fof(fact_1812,axiom,(+ chea(aussp__344hen_1_1,aussp__344hung_1_1) )).++fof(fact_1813,axiom,(+ chea(aussp__374len_1_1,aussp__374len_2_1) )).++fof(fact_1814,axiom,(+ chea(aussp__374len_1_1,aussp__374lung_1_1) )).++fof(fact_1815,axiom,(+ chea(ausstaffieren_1_1,ausstaffieren_2_1) )).++fof(fact_1816,axiom,(+ chea(ausstaffieren_1_1,ausstaffierung_1_1) )).++fof(fact_1817,axiom,(+ chea(ausstaffieren_1_1,bef__374llen_2_1) )).++fof(fact_1818,axiom,(+ chea(ausstaffieren_1_1,bef__374llung_1_1) )).++fof(fact_1819,axiom,(+ chea(ausstaffieren_1_1,wappnung_1_1) )).++fof(fact_1820,axiom,(+ chea(ausstechen_1_1,ausstechen_2_1) )).++fof(fact_1821,axiom,(+ chea(ausstecken_1_1,ausstecken_3_1) )).++fof(fact_1822,axiom,(+ chea(ausstecken_1_1,aussteckung_1_1) )).++fof(fact_1823,axiom,(+ chea(aussteifen_1_1,aussteifung_1_1) )).++fof(fact_1824,axiom,(+ chea(aussteinen_1_1,aussteinung_1_1) )).++fof(fact_1825,axiom,(+ chea(ausstellen_1_1,ausstellung_1_3) )).++fof(fact_1826,axiom,(+ chea(aussterben_1_1,aussterben_2_1) )).++fof(fact_1827,axiom,(+ chea(ausstopfen_1_1,ausstopfen_2_1) )).++fof(fact_1828,axiom,(+ chea(ausstopfen_1_1,ausstopfung_1_1) )).++fof(fact_1829,axiom,(+ chea(aussto__337en_1_1,aussto__337ung_1_1) )).++fof(fact_1830,axiom,(+ chea(aussto__337en_1_2,aussto__337ung_1_2) )).++fof(fact_1831,axiom,(+ chea(aussto__337en_1_3,aussto__337ung_1_3) )).++fof(fact_1832,axiom,(+ chea(ausstrecken_1_1,ausstrecken_2_1) )).++fof(fact_1833,axiom,(+ chea(ausstreichen_1_1,ausstreichen_2_1) )).++fof(fact_1834,axiom,(+ chea(ausstreichen_1_1,ausstreichung_1_1) )).++fof(fact_1835,axiom,(+ chea(aussuchen_1_1,aussuchen_2_1) )).++fof(fact_1836,axiom,(+ chea(aussuchen_1_1,erkiesen_2_1) )).++fof(fact_1837,axiom,(+ chea(auss__344en_1_1,aussaat_1_1) )).++fof(fact_1838,axiom,(+ chea(auss__344gen_1_1,auss__344gen_2_1) )).++fof(fact_1839,axiom,(+ chea(auss__344gen_1_1,auss__344gung_1_1) )).++fof(fact_1840,axiom,(+ chea(auss__366hnen_1_1,auss__366hnen_2_1) )).++fof(fact_1841,axiom,(+ chea(auss__366hnen_1_1,auss__366hnung_1_1) )).++fof(fact_1842,axiom,(+ chea(auss__374__337en_1_1,auss__374__337en_2_1) )).++fof(fact_1843,axiom,(+ chea(auss__374__337en_1_1,auss__374__337ung_1_1) )).++fof(fact_1844,axiom,(+ chea(austarieren_1_1,austarieren_2_1) )).++fof(fact_1845,axiom,(+ chea(austarieren_1_1,austarierung_1_1) )).++fof(fact_1846,axiom,(+ chea(austeilen_1_1,austeilen_2_1) )).++fof(fact_1847,axiom,(+ chea(austeilen_1_1,austeilung_1_1) )).++fof(fact_1848,axiom,(+ chea(austoben_1_1,austoben_2_1) )).++fof(fact_1849,axiom,(+ chea(austreiben_1_1,austreibung_1_1) )).++fof(fact_1850,axiom,(+ chea(austreiben_1_2,austreibung_1_2) )).++fof(fact_1851,axiom,(+ chea(austreten_1_1,abberufung_1_1) )).++fof(fact_1852,axiom,(+ chea(austricksen_1_1,austricksen_2_1) )).++fof(fact_1853,axiom,(+ chea(austricksen_1_1,n374berlistung_1_1) )).++fof(fact_1854,axiom,(+ chea(aust__374fteln_1_1,aust__374fteln_2_1) )).++fof(fact_1855,axiom,(+ chea(ausverkaufen_1_1,ausverkauf_1_1) )).++fof(fact_1856,axiom,(+ chea(auswachsen_1_1,auswachsen_2_1) )).++fof(fact_1857,axiom,(+ chea(auswallen_1_1,auswallen_2_1) )).++fof(fact_1858,axiom,(+ chea(auswalzen_1_1,auswalzen_2_1) )).++fof(fact_1859,axiom,(+ chea(auswandern_1_1,abwanderung_1_1) )).++fof(fact_1860,axiom,(+ chea(auswandern_1_1,auswandern_2_1) )).++fof(fact_1861,axiom,(+ chea(auswandern_1_1,emigrieren_2_1) )).++fof(fact_1862,axiom,(+ chea(auswandern_1_1,emigrierung_1_1) )).++fof(fact_1863,axiom,(+ chea(auswaschen_1_1,auswaschen_2_1) )).++fof(fact_1864,axiom,(+ chea(auswaschen_1_1,auswaschung_1_1) )).++fof(fact_1865,axiom,(+ chea(auswechseln_1_1,auswechseln_2_1) )).++fof(fact_1866,axiom,(+ chea(auswechseln_1_1,auswechselung_1_1) )).++fof(fact_1867,axiom,(+ chea(auswechseln_1_1,auswechslung_1_1) )).++fof(fact_1868,axiom,(+ chea(auswechseln_1_1,substituieren_2_1) )).++fof(fact_1869,axiom,(+ chea(auswechseln_1_1,substituierung_1_1) )).++fof(fact_1870,axiom,(+ chea(ausweichen_1_1,ausweichen_2_1) )).++fof(fact_1871,axiom,(+ chea(ausweichen_1_1,ausweichung_1_1) )).++fof(fact_1872,axiom,(+ chea(ausweiden_1_1,ausweiden_2_1) )).++fof(fact_1873,axiom,(+ chea(ausweiden_1_1,ausweidung_1_1) )).++fof(fact_1874,axiom,(+ chea(ausweisen_1_1,abschiebung_1_1) )).++fof(fact_1875,axiom,(+ chea(ausweisen_1_2,ausweisung_1_2) )).++fof(fact_1876,axiom,(+ chea(ausweiten_1_1,ausdehnung_1_1) )).++fof(fact_1877,axiom,(+ chea(auswellen_1_1,auswellen_2_1) )).++fof(fact_1878,axiom,(+ chea(auswerfen_1_1,auswerfen_2_1) )).++fof(fact_1879,axiom,(+ chea(auswerfen_1_1,auswerfung_1_1) )).++fof(fact_1880,axiom,(+ chea(auswerten_1_1,auswerten_2_1) )).++fof(fact_1881,axiom,(+ chea(auswerten_1_1,auswertung_1_1) )).++fof(fact_1882,axiom,(+ chea(auswickeln_1_1,auswickeln_2_1) )).++fof(fact_1883,axiom,(+ chea(auswirken_1_1,auswirken_2_1) )).++fof(fact_1884,axiom,(+ chea(auswirken_1_1,auswirkung_1_1) )).++fof(fact_1885,axiom,(+ chea(auswringen_1_1,auswringen_2_1) )).++fof(fact_1886,axiom,(+ chea(auswuchten_1_1,auswuchten_2_1) )).++fof(fact_1887,axiom,(+ chea(auswuchten_1_1,auswuchtung_1_1) )).++fof(fact_1888,axiom,(+ chea(ausw__344gen_1_1,ausw__344gen_2_1) )).++fof(fact_1889,axiom,(+ chea(ausw__344gen_1_1,ausw__344gung_1_1) )).++fof(fact_1890,axiom,(+ chea(ausw__344hlen_1_1,ausw__344hlen_2_1) )).++fof(fact_1891,axiom,(+ chea(auszahlen_1_1,abhebung_1_1) )).++fof(fact_1892,axiom,(+ chea(auszeichnen_1_1,auszeichnung_1_2) )).++fof(fact_1893,axiom,(+ chea(auszupfen_1_1,auszupfen_2_1) )).++fof(fact_1894,axiom,(+ chea(ausz__344hlen_1_1,aus_z__344hlen_1_1) )).++fof(fact_1895,axiom,(+ chea(ausz__344hlen_1_1,ausz__344hlung_1_1) )).++fof(fact_1896,axiom,(+ chea(aus__374ben_1_1,aus__374ben_2_1) )).++fof(fact_1897,axiom,(+ chea(aus__374ben_1_1,aus__374bung_1_1) )).++fof(fact_1898,axiom,(+ chea(authentifizieren_1_1,authentifizieren_2_1) )).++fof(fact_1899,axiom,(+ chea(authentifizieren_1_1,authentifizierung_1_1) )).++fof(fact_1900,axiom,(+ chea(authentifizieren_1_1,beglaubigen_2_1) )).++fof(fact_1901,axiom,(+ chea(authentifizieren_1_1,beglaubigung_1_1) )).++fof(fact_1902,axiom,(+ chea(autofahren_1_1,autofahren_2_1) )).++fof(fact_1903,axiom,(+ chea(automatisieren_1_1,automation_1_1) )).++fof(fact_1904,axiom,(+ chea(automatisieren_1_1,automatisation_1_1) )).++fof(fact_1905,axiom,(+ chea(automatisieren_1_1,automatisieren_2_1) )).++fof(fact_1906,axiom,(+ chea(autonomisieren_1_1,autonomisierung_1_1) )).++fof(fact_1907,axiom,(+ chea(autorisieren_1_1,autorisation_1_1) )).++fof(fact_1908,axiom,(+ chea(avivieren_1_1,avivieren_2_1) )).++fof(fact_1909,axiom,(+ chea(bagatellisieren_1_1,bagatellisieren_2_1) )).++fof(fact_1910,axiom,(+ chea(bagatellisieren_1_1,bagatellisierung_1_1) )).++fof(fact_1911,axiom,(+ chea(bagatellisieren_1_1,herunterspielen_2_1) )).++fof(fact_1912,axiom,(+ chea(bagatellisieren_1_1,verharmlosen_2_1) )).++fof(fact_1913,axiom,(+ chea(bahnen_1_1,bahnen_2_1) )).++fof(fact_1914,axiom,(+ chea(bahnen_1_1,bahnung_1_1) )).++fof(fact_1915,axiom,(+ chea(ballen_1_1,akkumulation_1_1) )).++fof(fact_1916,axiom,(+ chea(ballen_1_1,ballen_2_1) )).++fof(fact_1917,axiom,(+ chea(ballen_1_1,zusammenpressen_2_1) )).++fof(fact_1918,axiom,(+ chea(ballen_1_1,zusammenpressung_1_1) )).++fof(fact_1919,axiom,(+ chea(balsamieren_1_1,balsamierung_1_1) )).++fof(fact_1920,axiom,(+ chea(balzen_1_1,balzen_2_1) )).++fof(fact_1921,axiom,(+ chea(banalisieren_1_1,banalisieren_2_1) )).++fof(fact_1922,axiom,(+ chea(banalisieren_1_1,banalisierung_1_1) )).++fof(fact_1923,axiom,(+ chea(banalisieren_1_1,trivialisierung_1_1) )).++fof(fact_1924,axiom,(+ chea(bandagieren_1_1,bandagieren_2_1) )).++fof(fact_1925,axiom,(+ chea(bandagieren_1_1,bandagierung_1_1) )).++fof(fact_1926,axiom,(+ chea(barrikadieren_1_1,verbarrikadierung_1_1) )).++fof(fact_1927,axiom,(+ chea(basieren_1_1,basierung_1_1) )).++fof(fact_1928,axiom,(+ chea(basieren_1_1,beruhen_2_1) )).++fof(fact_1929,axiom,(+ chea(bastardieren_1_1,bastardierung_1_1) )).++fof(fact_1930,axiom,(+ chea(bauchen_1_1,bauchen_2_1) )).++fof(fact_1931,axiom,(+ chea(bauchen_1_1,bauchung_1_1) )).++fof(fact_1932,axiom,(+ chea(bauchreden_1_1,bauchreden_2_1) )).++fof(fact_1933,axiom,(+ chea(bauchtanzen_1_1,bauchtanzen_2_1) )).++fof(fact_1934,axiom,(+ chea(baumen_1_1,baumen_2_1) )).++fof(fact_1935,axiom,(+ chea(baumen_1_1,baumung_1_1) )).++fof(fact_1936,axiom,(+ chea(bausparen_1_1,bausparen_2_1) )).++fof(fact_1937,axiom,(+ chea(beachten_1_1,beachtung_1_2) )).++fof(fact_1938,axiom,(+ chea(beachten_1_1,beherzigen_2_1) )).++fof(fact_1939,axiom,(+ chea(beachten_1_1,beherzigung_1_1) )).++fof(fact_1940,axiom,(+ chea(beamten_1_1,beamten_2_1) )).++fof(fact_1941,axiom,(+ chea(beamten_1_1,beamtung_1_1) )).++fof(fact_1942,axiom,(+ chea(beanspruchen_1_1,beanspruchung_1_2) )).++fof(fact_1943,axiom,(+ chea(beanspruchen_1_2,beanspruchung_1_1) )).++fof(fact_1944,axiom,(+ chea(beantragen_1_1,beantragen_2_1) )).++fof(fact_1945,axiom,(+ chea(beantragen_1_1,beantragung_1_1) )).++fof(fact_1946,axiom,(+ chea(beantworten_1_1,beantworten_2_1) )).++fof(fact_1947,axiom,(+ chea(beantworten_1_1,beantwortung_1_1) )).++fof(fact_1948,axiom,(+ chea(bearbeiten_1_1,bear_beitung_1_1) )).++fof(fact_1949,axiom,(+ chea(bearbeiten_1_1,bearbeiten_2_1) )).++fof(fact_1950,axiom,(+ chea(beatmen_1_1,beatmen_2_1) )).++fof(fact_1951,axiom,(+ chea(beatmen_1_1,beatmung_1_1) )).++fof(fact_1952,axiom,(+ chea(beaufschlagen_1_1,beaufschlagen_2_1) )).++fof(fact_1953,axiom,(+ chea(beaufschlagen_1_1,beaufschlagung_1_1) )).++fof(fact_1954,axiom,(+ chea(beaufsichtigen_1_1,beaufsichtigung_1_1) )).++fof(fact_1955,axiom,(+ chea(beauftragen_1_1,beauftragen_2_1) )).++fof(fact_1956,axiom,(+ chea(beauftragen_1_1,beauftragung_1_1) )).++fof(fact_1957,axiom,(+ chea(beauftragen_1_1,designation_1_1) )).++fof(fact_1958,axiom,(+ chea(beauftragen_1_1,designierung_1_1) )).++fof(fact_1959,axiom,(+ chea(bebauen_1_1,bebauung_1_2) )).++fof(fact_1960,axiom,(+ chea(bebauen_1_2,bebauung_1_1) )).++fof(fact_1961,axiom,(+ chea(bebauen_1_2,verbauung_1_2) )).++fof(fact_1962,axiom,(+ chea(bebildern_1_1,ebenbild_1_1) )).++fof(fact_1963,axiom,(+ chea(bebildern_1_1,illustrierung_1_1) )).++fof(fact_1964,axiom,(+ chea(bebildern_1_1,visualisation_1_1) )).++fof(fact_1965,axiom,(+ chea(bebildern_1_1,visualisieren_2_1) )).++fof(fact_1966,axiom,(+ chea(bebr__374ten_1_1,bebr__374ten_2_1) )).++fof(fact_1967,axiom,(+ chea(bebr__374ten_1_1,bebr__374tung_1_1) )).++fof(fact_1968,axiom,(+ chea(bedachen_1_1,bedachen_2_1) )).++fof(fact_1969,axiom,(+ chea(bedachen_1_1,bedachung_1_1) )).++fof(fact_1970,axiom,(+ chea(bedampfen_1_1,bedampfen_2_1) )).++fof(fact_1971,axiom,(+ chea(bedampfen_1_1,bedampfung_1_1) )).++fof(fact_1972,axiom,(+ chea(bedanken_1_1,bedanken_2_1) )).++fof(fact_1973,axiom,(+ chea(bedanken_1_1,danken_2_1) )).++fof(fact_1974,axiom,(+ chea(bedienen_1_1,bedienung_1_1) )).++fof(fact_1975,axiom,(+ chea(bedienen_1_2,bedienung_1_3) )).++fof(fact_1976,axiom,(+ chea(bedingen_1_1,bedingen_2_1) )).++fof(fact_1977,axiom,(+ chea(bedingen_1_1,bedingung_1_1) )).++fof(fact_1978,axiom,(+ chea(bedrucken_1_1,bedrucken_2_1) )).++fof(fact_1979,axiom,(+ chea(bedrucken_1_1,bedruckung_1_1) )).++fof(fact_1980,axiom,(+ chea(bedrucken_1_1,beizen_2_1) )).++fof(fact_1981,axiom,(+ chea(bedrucken_1_1,beizung_1_1) )).++fof(fact_1982,axiom,(+ chea(bedrucken_1_1,bemalung_1_1) )).++fof(fact_1983,axiom,(+ chea(bedrucken_1_1,einf__344rben_2_1) )).++fof(fact_1984,axiom,(+ chea(bedrucken_1_1,einf__344rbung_1_1) )).++fof(fact_1985,axiom,(+ chea(bedrucken_1_1,koloration_1_1) )).++fof(fact_1986,axiom,(+ chea(bedrucken_1_1,kolorieren_2_1) )).++fof(fact_1987,axiom,(+ chea(bedr__344ngen_1_1,bedr__344ngung_1_1) )).++fof(fact_1988,axiom,(+ chea(bedr__374cken_1_1,bedr__374ckung_1_1) )).++fof(fact_1989,axiom,(+ chea(beehren_1_1,beiwohnen_2_1) )).++fof(fact_1990,axiom,(+ chea(beehren_1_1,beiwohnung_1_1) )).++fof(fact_1991,axiom,(+ chea(beeiden_1_1,beeidigung_1_1) )).++fof(fact_1992,axiom,(+ chea(beeiden_1_1,beeidung_1_1) )).++fof(fact_1993,axiom,(+ chea(beeilen_1_1,beeilung_1_1) )).++fof(fact_1994,axiom,(+ chea(beeinflussen_1_1,beeinflussen_2_1) )).++fof(fact_1995,axiom,(+ chea(beeinflussen_1_1,beeinflussung_1_1) )).++fof(fact_1996,axiom,(+ chea(beeintr__344chtigen_1_1,beeintr__344chtigen_2_1) )).++fof(fact_1997,axiom,(+ chea(beeintr__344chtigen_1_1,beeintr__344chtigung_1_1) )).++fof(fact_1998,axiom,(+ chea(beenden_1_1,aufh__366ren_2_1) )).++fof(fact_1999,axiom,(+ chea(beenden_1_1,beendigung_1_1) )).++fof(fact_2000,axiom,(+ chea(beenden_1_1,beendung_1_1) )).++fof(fact_2001,axiom,(+ chea(beengen_1_1,beengung_1_1) )).++fof(fact_2002,axiom,(+ chea(beerben_1_1,beerbung_1_1) )).++fof(fact_2003,axiom,(+ chea(beerben_1_1,erben_2_1) )).++fof(fact_2004,axiom,(+ chea(beerben_1_1,erbung_1_1) )).++fof(fact_2005,axiom,(+ chea(beerdigen_1_1,beerdigen_2_1) )).++fof(fact_2006,axiom,(+ chea(beerdigen_1_1,beerdigung_1_1) )).++fof(fact_2007,axiom,(+ chea(beerdigen_1_1,bestatten_2_1) )).++fof(fact_2008,axiom,(+ chea(befahren_1_1,befahren_2_1) )).++fof(fact_2009,axiom,(+ chea(befahren_1_1,befahrung_1_1) )).++fof(fact_2010,axiom,(+ chea(befahren_1_1,betreten_3_1) )).++fof(fact_2011,axiom,(+ chea(befahren_1_1,betretung_1_1) )).++fof(fact_2012,axiom,(+ chea(befassen_1_1,befassung_1_1) )).++fof(fact_2013,axiom,(+ chea(befehden_1_1,befehden_2_1) )).++fof(fact_2014,axiom,(+ chea(befehden_1_1,befehdung_1_1) )).++fof(fact_2015,axiom,(+ chea(befehden_1_1,bekaempfung_1_1) )).++fof(fact_2016,axiom,(+ chea(befehden_1_1,bek__344mpfen_2_1) )).++fof(fact_2017,axiom,(+ chea(befestigen_1_1,befestigung_1_1) )).++fof(fact_2018,axiom,(+ chea(befestigen_1_2,befestigung_1_2) )).++fof(fact_2019,axiom,(+ chea(befeuchten_1_1,befeuchten_2_1) )).++fof(fact_2020,axiom,(+ chea(befeuchten_1_1,befeuchtung_1_1) )).++fof(fact_2021,axiom,(+ chea(befeuchten_1_1,feuchten_2_1) )).++fof(fact_2022,axiom,(+ chea(befeuern_1_1,befeuerung_1_1) )).++fof(fact_2023,axiom,(+ chea(befischen_1_1,befischen_2_1) )).++fof(fact_2024,axiom,(+ chea(befischen_1_1,befischung_1_1) )).++fof(fact_2025,axiom,(+ chea(beflaggen_1_1,beflaggung_1_1) )).++fof(fact_2026,axiom,(+ chea(beflecken_1_1,beflecken_2_1) )).++fof(fact_2027,axiom,(+ chea(beflecken_1_1,befleckung_1_1) )).++fof(fact_2028,axiom,(+ chea(beflecken_1_1,bespritzen_2_1) )).++fof(fact_2029,axiom,(+ chea(befliegen_1_1,befliegung_1_1) )).++fof(fact_2030,axiom,(+ chea(befluten_1_1,beflutung_1_1) )).++fof(fact_2031,axiom,(+ chea(befolgen_1_1,befolgen_2_1) )).++fof(fact_2032,axiom,(+ chea(befolgen_1_1,befolgung_1_1) )).++fof(fact_2033,axiom,(+ chea(befrachten_1_1,befrachtung_1_1) )).++fof(fact_2034,axiom,(+ chea(befrachten_1_1,beladen_2_1) )).++fof(fact_2035,axiom,(+ chea(befrachten_1_1,beladung_1_1) )).++fof(fact_2036,axiom,(+ chea(befrachten_1_1,ladung_1_1) )).++fof(fact_2037,axiom,(+ chea(befragen_1_1,befragen_2_1) )).++fof(fact_2038,axiom,(+ chea(befragen_1_1,befragung_1_1) )).++fof(fact_2039,axiom,(+ chea(befreien_1_1,befreiung_1_1) )).++fof(fact_2040,axiom,(+ chea(befreien_1_2,befreiung_1_2) )).++fof(fact_2041,axiom,(+ chea(befrieden_1_1,befriedung_1_1) )).++fof(fact_2042,axiom,(+ chea(befristen_1_1,befristung_1_1) )).++fof(fact_2043,axiom,(+ chea(befristen_1_1,n2) )).++fof(fact_2044,axiom,(+ chea(befruchten_1_1,befruchten_2_1) )).++fof(fact_2045,axiom,(+ chea(befruchten_1_1,befruchtung_1_1) )).++fof(fact_2046,axiom,(+ chea(bef__344higen_1_1,bef__344higung_1_1) )).++fof(fact_2047,axiom,(+ chea(bef__366rdern_1_1,bef__366rderung_1_2) )).++fof(fact_2048,axiom,(+ chea(bef__366rdern_1_1,transportation_1_2) )).++fof(fact_2049,axiom,(+ chea(bef__366rdern_1_2,bef__366rderung_1_1) )).++fof(fact_2050,axiom,(+ chea(bef__374hlen_1_1,bef__374hlen_2_1) )).++fof(fact_2051,axiom,(+ chea(bef__374hlen_1_1,betasten_2_1) )).++fof(fact_2052,axiom,(+ chea(bef__374rworten_1_1,bef__374rworten_2_1) )).++fof(fact_2053,axiom,(+ chea(bef__374rworten_1_1,bef__374rwortung_1_1) )).++fof(fact_2054,axiom,(+ chea(begaben_1_1,begabung_1_1) )).++fof(fact_2055,axiom,(+ chea(begatten_1_1,begattung_1_1) )).++fof(fact_2056,axiom,(+ chea(begehen_1_1,begehung_1_1) )).++fof(fact_2057,axiom,(+ chea(begehren_1_1,begehr_1_1) )).++fof(fact_2058,axiom,(+ chea(begehren_1_1,begehrung_1_1) )).++fof(fact_2059,axiom,(+ chea(begehren_1_1,erbeten_2_1) )).++fof(fact_2060,axiom,(+ chea(begehren_1_1,erbitten_2_1) )).++fof(fact_2061,axiom,(+ chea(begie__337en_1_1,begie__337en_2_1) )).++fof(fact_2062,axiom,(+ chea(begleiten_1_3,begleitung_1_3) )).++fof(fact_2063,axiom,(+ chea(begl__374ckw__374nschen_1_1,gl__374ckwunsch_1_1) )).++fof(fact_2064,axiom,(+ chea(begl__374ckw__374nschen_1_1,gratulieren_2_1) )).++fof(fact_2065,axiom,(+ chea(begnaden_1_1,begnadung_1_1) )).++fof(fact_2066,axiom,(+ chea(begnadigen_1_1,amnestie_1_1) )).++fof(fact_2067,axiom,(+ chea(begradigen_1_1,begradigen_2_1) )).++fof(fact_2068,axiom,(+ chea(begradigen_1_1,begradigung_1_1) )).++fof(fact_2069,axiom,(+ chea(begradigen_1_1,einebnen_2_1) )).++fof(fact_2070,axiom,(+ chea(begradigen_1_1,einebnung_1_1) )).++fof(fact_2071,axiom,(+ chea(begrenzen_1_1,begrenzung_1_3) )).++fof(fact_2072,axiom,(+ chea(begrenzen_1_3,abgrenzung_1_1) )).++fof(fact_2073,axiom,(+ chea(begrenzen_1_3,n2) )).++fof(fact_2074,axiom,(+ chea(begr__374nden_1_1,begruendung_1_1) )).++fof(fact_2075,axiom,(+ chea(begr__374nden_1_1,begr__374nden_2_1) )).++fof(fact_2076,axiom,(+ chea(begr__374nen_1_1,begr__374nen_2_1) )).++fof(fact_2077,axiom,(+ chea(begr__374nen_1_1,begr__374nung_1_1) )).++fof(fact_2078,axiom,(+ chea(begr__374__337en_1_1,begr__374ssung_1_1) )).++fof(fact_2079,axiom,(+ chea(begr__374__337en_1_2,begr__374__337ung_1_2) )).++fof(fact_2080,axiom,(+ chea(begutachten_1_1,absch__344tzung_1_1) )).++fof(fact_2081,axiom,(+ chea(begutachten_1_1,begutachten_2_1) )).++fof(fact_2082,axiom,(+ chea(beg__374tigen_1_1,beg__374tigung_1_1) )).++fof(fact_2083,axiom,(+ chea(behaaren_1_1,behaarung_1_1) )).++fof(fact_2084,axiom,(+ chea(behagen_1_1,behagen_2_1) )).++fof(fact_2085,axiom,(+ chea(behalten_1_1,behalten_2_1) )).++fof(fact_2086,axiom,(+ chea(behandeln_1_2,behandlung_1_2) )).++fof(fact_2087,axiom,(+ chea(beharren_2_1,beharren_1_1) )).++fof(fact_2088,axiom,(+ chea(beharren_2_1,beharrung_1_1) )).++fof(fact_2089,axiom,(+ chea(beharren_2_1,insistieren_2_1) )).++fof(fact_2090,axiom,(+ chea(behauchen_1_1,behauchung_1_1) )).++fof(fact_2091,axiom,(+ chea(behauen_1_1,behauen_2_1) )).++fof(fact_2092,axiom,(+ chea(behausen_1_1,aufenthalt_1_1) )).++fof(fact_2093,axiom,(+ chea(beheben_1_1,beheben_2_1) )).++fof(fact_2094,axiom,(+ chea(beheben_1_1,behebung_1_1) )).++fof(fact_2095,axiom,(+ chea(beheimaten_1_1,beheimatung_1_1) )).++fof(fact_2096,axiom,(+ chea(beheizen_1_1,beheizen_2_1) )).++fof(fact_2097,axiom,(+ chea(beheizen_1_1,beheizung_1_1) )).++fof(fact_2098,axiom,(+ chea(behelligen_1_1,behelligen_2_1) )).++fof(fact_2099,axiom,(+ chea(behelligen_1_1,behelligung_1_1) )).++fof(fact_2100,axiom,(+ chea(beherbergen_1_1,beherbergen_2_1) )).++fof(fact_2101,axiom,(+ chea(beherbergen_1_1,beherbergung_1_1) )).++fof(fact_2102,axiom,(+ chea(beherbergen_1_1,unterbringen_2_1) )).++fof(fact_2103,axiom,(+ chea(behexen_1_1,behexen_2_1) )).++fof(fact_2104,axiom,(+ chea(behindern_1_2,behinderung_1_1) )).++fof(fact_2105,axiom,(+ chea(behorchen_1_1,belauschen_2_1) )).++fof(fact_2106,axiom,(+ chea(behorchen_1_1,belauschung_1_1) )).++fof(fact_2107,axiom,(+ chea(beh__374ten_1_1,beh__374ten_2_1) )).++fof(fact_2108,axiom,(+ chea(beh__374ten_1_1,beh__374tung_1_1) )).++fof(fact_2109,axiom,(+ chea(beibehalten_1_1,beibehalten_2_1) )).++fof(fact_2110,axiom,(+ chea(beibringen_1_1,beibringen_2_1) )).++fof(fact_2111,axiom,(+ chea(beibringen_1_1,beibringung_1_1) )).++fof(fact_2112,axiom,(+ chea(beichten_1_1,beichten_2_1) )).++fof(fact_2113,axiom,(+ chea(beidrehen_1_1,beidrehen_2_1) )).++fof(fact_2114,axiom,(+ chea(beif__374gen_1_1,beif__374gen_2_1) )).++fof(fact_2115,axiom,(+ chea(beif__374gen_1_1,beif__374gung_1_1) )).++fof(fact_2116,axiom,(+ chea(beigeben_1_1,beigebung_1_1) )).++fof(fact_2117,axiom,(+ chea(beiliegen_1_1,beiliegen_2_1) )).++fof(fact_2118,axiom,(+ chea(beimengen_1_1,beimengen_2_1) )).++fof(fact_2119,axiom,(+ chea(beimengen_1_1,beimengung_1_1) )).++fof(fact_2120,axiom,(+ chea(beimischen_1_1,beimischen_2_1) )).++fof(fact_2121,axiom,(+ chea(beimischen_1_1,beimischung_1_1) )).++fof(fact_2122,axiom,(+ chea(beimpfen_1_1,beimpfen_2_1) )).++fof(fact_2123,axiom,(+ chea(beimpfen_1_1,beimpfung_1_1) )).++fof(fact_2124,axiom,(+ chea(beinhalten_1_1,enthalten_2_1) )).++fof(fact_2125,axiom,(+ chea(beinhalten_1_1,enthaltung_1_1) )).++fof(fact_2126,axiom,(+ chea(beiordnen_1_1,beiordnung_1_1) )).++fof(fact_2127,axiom,(+ chea(beistehen_1_1,beistehen_2_1) )).++fof(fact_2128,axiom,(+ chea(beistellen_1_1,beistellen_2_1) )).++fof(fact_2129,axiom,(+ chea(beistellen_1_1,beistellung_1_1) )).++fof(fact_2130,axiom,(+ chea(beitreiben_1_1,beitreiben_2_1) )).++fof(fact_2131,axiom,(+ chea(beitreiben_1_1,beitreibung_1_1) )).++fof(fact_2132,axiom,(+ chea(beitreten_1_1,beitreten_2_1) )).++fof(fact_2133,axiom,(+ chea(beitreten_1_1,beitritt_1_1) )).++fof(fact_2134,axiom,(+ chea(beiziehen_1_1,beiziehung_1_1) )).++fof(fact_2135,axiom,(+ chea(bejagen_1_1,bejagen_2_1) )).++fof(fact_2136,axiom,(+ chea(bejagen_1_1,bejagung_1_1) )).++fof(fact_2137,axiom,(+ chea(bejahen_1_1,bejahung_1_1) )).++fof(fact_2138,axiom,(+ chea(bekanntgeben_1_1,bekanntgabe_1_1) )).++fof(fact_2139,axiom,(+ chea(bekanntmachen_1_2,bekanntmachung_1_1) )).++fof(fact_2140,axiom,(+ chea(bekanntwerden_1_1,bekanntwerden_2_1) )).++fof(fact_2141,axiom,(+ chea(bekehren_1_1,bekehrung_1_1) )).++fof(fact_2142,axiom,(+ chea(bekehren_1_1,gewi__337heit_1_1) )).++fof(fact_2143,axiom,(+ chea(bekehren_1_1,missionieren_2_1) )).++fof(fact_2144,axiom,(+ chea(bekehren_1_1,missionierung_1_1) )).++fof(fact_2145,axiom,(+ chea(bekehren_1_1,n374berreden_2_1) )).++fof(fact_2146,axiom,(+ chea(bekehren_1_1,n374berredung_1_1) )).++fof(fact_2147,axiom,(+ chea(bekehren_1_1,n374berzeugen_2_1) )).++fof(fact_2148,axiom,(+ chea(beklauen_1_1,berauben_2_1) )).++fof(fact_2149,axiom,(+ chea(beklauen_1_1,beraubung_1_1) )).++fof(fact_2150,axiom,(+ chea(beklauen_1_1,bestehlen_2_1) )).++fof(fact_2151,axiom,(+ chea(bekleben_1_1,bekleben_2_1) )).++fof(fact_2152,axiom,(+ chea(bekleben_1_1,beklebung_1_1) )).++fof(fact_2153,axiom,(+ chea(bekleiden_1_1,bekleiden_2_1) )).++fof(fact_2154,axiom,(+ chea(bekleiden_1_1,bekleidung__1_1) )).++fof(fact_2155,axiom,(+ chea(beklemmen_1_1,angstempfindung_1_1) )).++fof(fact_2156,axiom,(+ chea(beklopfen_1_1,beklopfen_2_1) )).++fof(fact_2157,axiom,(+ chea(bekochen_1_1,bek__366stigung_1_1) )).++fof(fact_2158,axiom,(+ chea(bekohlen_1_1,bekohlen_2_1) )).++fof(fact_2159,axiom,(+ chea(bekohlen_1_1,bekohlung_1_1) )).++fof(fact_2160,axiom,(+ chea(bekr__344ftigen_1_1,bekr__344ftigung_1_1) )).++fof(fact_2161,axiom,(+ chea(bekr__344ftigen_1_2,bekr__344ftigung_1_2) )).++fof(fact_2162,axiom,(+ chea(bekr__344nzen_1_1,bekr__344nzung_1_1) )).++fof(fact_2163,axiom,(+ chea(bekunden_1_1,bekunden_2_1) )).++fof(fact_2164,axiom,(+ chea(bekunden_1_1,bekundung_1_1) )).++fof(fact_2165,axiom,(+ chea(belagern_1_1,belagerung_1_1) )).++fof(fact_2166,axiom,(+ chea(belagern_1_2,belagerung_1_2) )).++fof(fact_2167,axiom,(+ chea(belassen_1_1,belassen_2_1) )).++fof(fact_2168,axiom,(+ chea(belassen_1_1,belassung_1_1) )).++fof(fact_2169,axiom,(+ chea(belasten_1_2,belastung_1_3) )).++fof(fact_2170,axiom,(+ chea(belauben_1_1,belaubung_1_1) )).++fof(fact_2171,axiom,(+ chea(belauern_1_1,belauern_2_1) )).++fof(fact_2172,axiom,(+ chea(belecken_1_1,belecken_2_1) )).++fof(fact_2173,axiom,(+ chea(belegen_1_1,belegung_1_1) )).++fof(fact_2174,axiom,(+ chea(belegen_1_2,belegung_1_2) )).++fof(fact_2175,axiom,(+ chea(belegen_1_3,belegung_1_3) )).++fof(fact_2176,axiom,(+ chea(belehnen_1_1,belehnung_1_1) )).++fof(fact_2177,axiom,(+ chea(belehren_1_1,abkanzelung_1_1) )).++fof(fact_2178,axiom,(+ chea(belehren_1_1,belehren_2_1) )).++fof(fact_2179,axiom,(+ chea(belehren_1_1,dozieren_2_1) )).++fof(fact_2180,axiom,(+ chea(beleidigen_1_1,beleidigung_1_1) )).++fof(fact_2181,axiom,(+ chea(beleihen_1_1,beleihung_1_1) )).++fof(fact_2182,axiom,(+ chea(beleuchten_1_1,beleuchtung_1_1) )).++fof(fact_2183,axiom,(+ chea(beleuchten_1_2,beleuchtung_1_2) )).++fof(fact_2184,axiom,(+ chea(belichten_1_1,belichten_2_1) )).++fof(fact_2185,axiom,(+ chea(belichten_1_1,belichtung_1_1) )).++fof(fact_2186,axiom,(+ chea(belieben_1_1,belieben_2_1) )).++fof(fact_2187,axiom,(+ chea(belieben_1_1,beliebung_1_1) )).++fof(fact_2188,axiom,(+ chea(beliefern_1_1,anlieferung_1_1) )).++fof(fact_2189,axiom,(+ chea(bellen_1_1,bellen_2_1) )).++fof(fact_2190,axiom,(+ chea(bellen_1_1,bellung_1_1) )).++fof(fact_2191,axiom,(+ chea(belobigen_1_1,belobigung_1_1) )).++fof(fact_2192,axiom,(+ chea(belohnen_1_1,belohnen_2_1) )).++fof(fact_2193,axiom,(+ chea(bel__344cheln_1_1,bel__344cheln_2_1) )).++fof(fact_2194,axiom,(+ chea(bel__344stigen_1_1,bel__344stigung_1_1) )).++fof(fact_2195,axiom,(+ chea(bel__374ften_1_1,bel__374ften_2_1) )).++fof(fact_2196,axiom,(+ chea(bel__374ften_1_1,bel__374ftung_1_1) )).++fof(fact_2197,axiom,(+ chea(bel__374ften_1_1,luftzufuhr_1_1) )).++fof(fact_2198,axiom,(+ chea(bel__374ften_1_1,l__374ften_2_1) )).++fof(fact_2199,axiom,(+ chea(bel__374ften_1_1,ventilierung_1_1) )).++fof(fact_2200,axiom,(+ chea(bel__374gen_1_1,bel__374gen_2_1) )).++fof(fact_2201,axiom,(+ chea(bemalen_1_1,bemalen_2_1) )).++fof(fact_2202,axiom,(+ chea(bemalen_1_1,bemalung_1_1) )).++fof(fact_2203,axiom,(+ chea(bemannen_1_1,bemannung_1_1) )).++fof(fact_2204,axiom,(+ chea(bemasten_1_1,bemastung_1_1) )).++fof(fact_2205,axiom,(+ chea(bemehlen_1_1,bemehlen_2_1) )).++fof(fact_2206,axiom,(+ chea(bemehlen_1_1,bemehlung_1_1) )).++fof(fact_2207,axiom,(+ chea(bemessen_1_1,bemessung_1_1) )).++fof(fact_2208,axiom,(+ chea(bemoosen_1_1,bemoosung_1_1) )).++fof(fact_2209,axiom,(+ chea(bem__344chtigen_1_1,bem__344chtigung_1_1) )).++fof(fact_2210,axiom,(+ chea(bem__344ngeln_1_1,bem__344ngelung_1_1) )).++fof(fact_2211,axiom,(+ chea(bem__344nteln_1_1,besch__366nigen_2_1) )).++fof(fact_2212,axiom,(+ chea(bem__344nteln_1_1,besch__366nigung_1_1) )).++fof(fact_2213,axiom,(+ chea(bem__344nteln_1_1,sch__366nreden_2_1) )).++fof(fact_2214,axiom,(+ chea(bem__374hen_1_1,bem__374hen_3_1) )).++fof(fact_2215,axiom,(+ chea(bem__374hen_1_1,bem__374hung_1_2) )).++fof(fact_2216,axiom,(+ chea(benachrichtigen_1_1,unterrichtung_1_4) )).++fof(fact_2217,axiom,(+ chea(benachrichtigen_1_1,verstaendigung_1_1) )).++fof(fact_2218,axiom,(+ chea(benachrichtigen_1_1,verst__344ndigen_2_1) )).++fof(fact_2219,axiom,(+ chea(benachteiligen_1_1,benachteiligung_1_1) )).++fof(fact_2220,axiom,(+ chea(benageln_1_1,benageln_2_1) )).++fof(fact_2221,axiom,(+ chea(benagen_1_1,benagen_2_1) )).++fof(fact_2222,axiom,(+ chea(benedeien_1_1,seligsprechung_1_1) )).++fof(fact_2223,axiom,(+ chea(benehmen_1_1,benehmen_2_1) )).++fof(fact_2224,axiom,(+ chea(benennen_1_1,benennen_2_1) )).++fof(fact_2225,axiom,(+ chea(benennen_1_1,benennung_1_1) )).++fof(fact_2226,axiom,(+ chea(benennen_1_1,titulieren_2_1) )).++fof(fact_2227,axiom,(+ chea(benennen_1_1,titulierung_1_1) )).++fof(fact_2228,axiom,(+ chea(benetzen_1_1,benetzen_2_1) )).++fof(fact_2229,axiom,(+ chea(benetzen_1_1,benetzung_1_1) )).++fof(fact_2230,axiom,(+ chea(benetzen_1_1,netzen_2_1) )).++fof(fact_2231,axiom,(+ chea(benetzen_1_1,netzung_1_1) )).++fof(fact_2232,axiom,(+ chea(benoten_1_1,benoten_2_1) )).++fof(fact_2233,axiom,(+ chea(benoten_1_1,benotung_1_1) )).++fof(fact_2234,axiom,(+ chea(benutzen_1_1,benutzung_1_1) )).++fof(fact_2235,axiom,(+ chea(benutzen_1_2,verwendung_1_3) )).++fof(fact_2236,axiom,(+ chea(beobachten_1_1,beobachten_2_1) )).++fof(fact_2237,axiom,(+ chea(bepflanzen_1_1,bepflanzen_2_1) )).++fof(fact_2238,axiom,(+ chea(bepflanzen_1_1,bepflanzung_1_1) )).++fof(fact_2239,axiom,(+ chea(beranken_1_1,beranken_2_1) )).++fof(fact_2240,axiom,(+ chea(berappen_1_1,blechen_2_1) )).++fof(fact_2241,axiom,(+ chea(berappen_1_1,entrichten_2_1) )).++fof(fact_2242,axiom,(+ chea(berappen_1_1,entrichtung_1_1) )).++fof(fact_2243,axiom,(+ chea(berappen_1_1,l__366hnen_2_1) )).++fof(fact_2244,axiom,(+ chea(berappen_1_1,l__366hnung_1_1) )).++fof(fact_2245,axiom,(+ chea(beraten_1_2,beratschlagen_2_1) )).++fof(fact_2246,axiom,(+ chea(beraten_1_2,beratschlagung_1_1) )).++fof(fact_2247,axiom,(+ chea(beraten_1_2,beratung_1_2) )).++fof(fact_2248,axiom,(+ chea(beraten_1_3,beratung_1_3) )).++fof(fact_2249,axiom,(+ chea(bereden_1_1,beredung_1_1) )).++fof(fact_2250,axiom,(+ chea(bereden_1_1,durchsprechen_2_1) )).++fof(fact_2251,axiom,(+ chea(beregnen_1_1,beregnen_2_1) )).++fof(fact_2252,axiom,(+ chea(beregnen_1_1,beregnung_1_1) )).++fof(fact_2253,axiom,(+ chea(bereichern_1_1,bereicherung_1_4) )).++fof(fact_2254,axiom,(+ chea(bereichern_1_3,bereicherung_1_3) )).++fof(fact_2255,axiom,(+ chea(bereifen_1_1,bereifung_1_1) )).++fof(fact_2256,axiom,(+ chea(bereinigen_1_1,bereinigen_2_1) )).++fof(fact_2257,axiom,(+ chea(bereinigen_1_1,bereinigung_1_1) )).++fof(fact_2258,axiom,(+ chea(bereisen_1_1,bereisen_2_1) )).++fof(fact_2259,axiom,(+ chea(bereisen_1_1,bereisung_1_1) )).++fof(fact_2260,axiom,(+ chea(bereiten_1_1,bereitung_1_1) )).++fof(fact_2261,axiom,(+ chea(bereitstellen_1_1,bereitstellen_2_1) )).++fof(fact_2262,axiom,(+ chea(bereitstellen_1_1,bereitstellung_1_1) )).++fof(fact_2263,axiom,(+ chea(bereuen_1_1,bereuen_2_1) )).++fof(fact_2264,axiom,(+ chea(bergen_1_1,bergung_1_1) )).++fof(fact_2265,axiom,(+ chea(bergsteigen_1_1,bergsteigen_2_1) )).++fof(fact_2266,axiom,(+ chea(bergsteigen_1_1,bergsteigung_1_1) )).++fof(fact_2267,axiom,(+ chea(berichten_1_1,bericht_1_1) )).++fof(fact_2268,axiom,(+ chea(berichtigen_1_1,berichtigen_2_1) )).++fof(fact_2269,axiom,(+ chea(berichtigen_1_1,berichtigung_1_1) )).++fof(fact_2270,axiom,(+ chea(beriechen_1_1,beriechen_2_1) )).++fof(fact_2271,axiom,(+ chea(berieseln_1_1,berieseln_2_1) )).++fof(fact_2272,axiom,(+ chea(beringen_1_1,beringen_2_1) )).++fof(fact_2273,axiom,(+ chea(beringen_1_1,beringung_1_1) )).++fof(fact_2274,axiom,(+ chea(bersten_1_1,bersten_2_1) )).++fof(fact_2275,axiom,(+ chea(berufen_1_1,berufung_1_1) )).++fof(fact_2276,axiom,(+ chea(berufen_2_1,berufung_1_3) )).++fof(fact_2277,axiom,(+ chea(ber__374cken_1_1,ber__374ckung_1_1) )).++fof(fact_2278,axiom,(+ chea(ber__374cksichtigen_1_1,beruecksichtigung_1_1) )).++fof(fact_2279,axiom,(+ chea(ber__374hren_1_1,ber__374hrung_1_1) )).++fof(fact_2280,axiom,(+ chea(besagen_1_1,besagung_1_1) )).++fof(fact_2281,axiom,(+ chea(besaiten_1_1,besaitung_1_1) )).++fof(fact_2282,axiom,(+ chea(besamen_1_1,besamen_2_1) )).++fof(fact_2283,axiom,(+ chea(besamen_1_1,besamung_1_1) )).++fof(fact_2284,axiom,(+ chea(beschaffen_1_1,anschaffung_1_1) )).++fof(fact_2285,axiom,(+ chea(beschaffen_1_1,beschaffen_3_1) )).++fof(fact_2286,axiom,(+ chea(beschatten_1_1,beschatten_2_1) )).++fof(fact_2287,axiom,(+ chea(beschatten_1_1,beschattung_1_1) )).++fof(fact_2288,axiom,(+ chea(beschatten_1_1,observation_1_1) )).++fof(fact_2289,axiom,(+ chea(beschatten_1_1,observieren_2_1) )).++fof(fact_2290,axiom,(+ chea(beschatten_1_1,observierung_1_1) )).++fof(fact_2291,axiom,(+ chea(beschatten_1_1,sp__344hen_2_1) )).++fof(fact_2292,axiom,(+ chea(beschauen_1_1,beschauung_1_1) )).++fof(fact_2293,axiom,(+ chea(bescheinigen_1_1,beleg__1_1) )).++fof(fact_2294,axiom,(+ chea(beschenken_1_1,beschenken_2_1) )).++fof(fact_2295,axiom,(+ chea(beschenken_1_1,beschenkung_1_1) )).++fof(fact_2296,axiom,(+ chea(bescheren_1_1,bescherung_1_1) )).++fof(fact_2297,axiom,(+ chea(beschichten_1_1,beschichten_2_1) )).++fof(fact_2298,axiom,(+ chea(beschichten_1_1,beschichtung_1_1) )).++fof(fact_2299,axiom,(+ chea(beschichten_1_1,n374berstreichen_2_1) )).++fof(fact_2300,axiom,(+ chea(beschichten_1_1,n374berstreichung_1_1) )).++fof(fact_2301,axiom,(+ chea(beschicken_1_1,beschicken_2_1) )).++fof(fact_2302,axiom,(+ chea(beschicken_1_1,beschickung_1_1) )).++fof(fact_2303,axiom,(+ chea(beschie__337en_1_1,beschie__337en_2_1) )).++fof(fact_2304,axiom,(+ chea(beschie__337en_1_1,beschie__337ung_1_1) )).++fof(fact_2305,axiom,(+ chea(beschimpfen_1_1,beschimpfen_2_1) )).++fof(fact_2306,axiom,(+ chea(beschimpfen_1_1,beschimpfung_1_1) )).++fof(fact_2307,axiom,(+ chea(beschlagnahmen_1_1,beschlagnahme_1_1) )).++fof(fact_2308,axiom,(+ chea(beschlagnahmen_1_1,einziehung_1_1) )).++fof(fact_2309,axiom,(+ chea(beschlagnahmen_1_1,sicherstellung_1_1) )).++fof(fact_2310,axiom,(+ chea(beschlagworten_1_1,verschlagwortung_1_1) )).++fof(fact_2311,axiom,(+ chea(beschleichen_1_1,beschleichen_2_1) )).++fof(fact_2312,axiom,(+ chea(beschlie__337en_1_1,beschlie__337en_2_1) )).++fof(fact_2313,axiom,(+ chea(beschlie__337en_1_1,beschlie__337ung_1_1) )).++fof(fact_2314,axiom,(+ chea(beschlie__337en_1_1,determination_1_1) )).++fof(fact_2315,axiom,(+ chea(beschlie__337en_1_1,determinierung_1_1) )).++fof(fact_2316,axiom,(+ chea(beschlie__337en_1_1,festschreibung_1_1) )).++fof(fact_2317,axiom,(+ chea(beschmieren_1_1,beschmieren_2_1) )).++fof(fact_2318,axiom,(+ chea(beschmutzen_1_1,beschmutzen_2_1) )).++fof(fact_2319,axiom,(+ chea(beschmutzen_1_1,beschmutzung_1_1) )).++fof(fact_2320,axiom,(+ chea(beschmutzen_1_1,verschmutzung_1_1) )).++fof(fact_2321,axiom,(+ chea(beschneiden_1_1,beschneidung_1_1) )).++fof(fact_2322,axiom,(+ chea(beschneiden_1_2,beschneidung_1_2) )).++fof(fact_2323,axiom,(+ chea(beschneiden_1_3,beschneidung_1_3) )).++fof(fact_2324,axiom,(+ chea(beschneien_1_1,beschneien_2_1) )).++fof(fact_2325,axiom,(+ chea(beschneien_1_1,beschneiung_1_1) )).++fof(fact_2326,axiom,(+ chea(beschreiten_1_1,beschreiten_2_1) )).++fof(fact_2327,axiom,(+ chea(beschreiten_1_1,beschreitung_1_1) )).++fof(fact_2328,axiom,(+ chea(beschriften_1_1,beschriften_2_1) )).++fof(fact_2329,axiom,(+ chea(beschriften_1_1,beschriftung_1_2) )).++fof(fact_2330,axiom,(+ chea(beschulen_1_1,beschulung_1_1) )).++fof(fact_2331,axiom,(+ chea(beschuppen_1_1,beschuppung_1_1) )).++fof(fact_2332,axiom,(+ chea(beschw__366ren_1_1,beschw__366rung_1_2) )).++fof(fact_2333,axiom,(+ chea(beschw__366ren_1_1,beteuerung_1_1) )).++fof(fact_2334,axiom,(+ chea(beschw__366ren_1_2,beschw__366rung_1_1) )).++fof(fact_2335,axiom,(+ chea(besch__344digen_1_1,besch__344digen_2_1) )).++fof(fact_2336,axiom,(+ chea(besch__344digen_1_1,besch__344digung_1_1) )).++fof(fact_2337,axiom,(+ chea(besch__344ftigen_1_1,besch__344ftigung_1_2) )).++fof(fact_2338,axiom,(+ chea(besch__344ftigen_1_2,anstellung_1_2) )).++fof(fact_2339,axiom,(+ chea(besch__344men_1_1,besch__344mung_1_1) )).++fof(fact_2340,axiom,(+ chea(besch__374tzen_1_1,besch__374tzen_2_1) )).++fof(fact_2341,axiom,(+ chea(besch__374tzen_1_1,besch__374tzung_1_1) )).++fof(fact_2342,axiom,(+ chea(beseelen_1_1,beseelung_1_1) )).++fof(fact_2343,axiom,(+ chea(besehen_1_1,besehen_2_1) )).++fof(fact_2344,axiom,(+ chea(besehen_1_1,besichtigen_2_1) )).++fof(fact_2345,axiom,(+ chea(besehen_1_1,besichtigung_1_1) )).++fof(fact_2346,axiom,(+ chea(beseitigen_1_1,ausl__366schung_1_1) )).++fof(fact_2347,axiom,(+ chea(beseitigen_1_1,beseitigen_2_1) )).++fof(fact_2348,axiom,(+ chea(beseitigen_1_1,beseitigung_1_1) )).++fof(fact_2349,axiom,(+ chea(beseitigen_1_1,beseitigung_1_2) )).++fof(fact_2350,axiom,(+ chea(beseitigen_1_1,elimination_1_1) )).++fof(fact_2351,axiom,(+ chea(beseligen_1_1,beseligung_1_1) )).++fof(fact_2352,axiom,(+ chea(besetzen_1_1,besetzung_1_1) )).++fof(fact_2353,axiom,(+ chea(besetzen_1_1,okkupation_1_1) )).++fof(fact_2354,axiom,(+ chea(besetzen_1_1,okkupierung_1_1) )).++fof(fact_2355,axiom,(+ chea(besiedeln_1_1,besiedeln_2_1) )).++fof(fact_2356,axiom,(+ chea(besiedeln_1_1,besiedlung_1_1) )).++fof(fact_2357,axiom,(+ chea(besiedeln_1_1,niederlassung_1_3) )).++fof(fact_2358,axiom,(+ chea(besiegeln_1_1,besiegelung_1_1) )).++fof(fact_2359,axiom,(+ chea(besiegen_1_1,besiegen_2_1) )).++fof(fact_2360,axiom,(+ chea(besiegen_1_1,besiegung_1_1) )).++fof(fact_2361,axiom,(+ chea(besiegen_1_1,bezwingen_2_1) )).++fof(fact_2362,axiom,(+ chea(besiegen_1_1,bezwingung_1_1) )).++fof(fact_2363,axiom,(+ chea(besingen_1_1,besingen_2_1) )).++fof(fact_2364,axiom,(+ chea(besinnen_1_1,besinnung_1_1) )).++fof(fact_2365,axiom,(+ chea(besitzen_1_1,besitzen_2_1) )).++fof(fact_2366,axiom,(+ chea(besitzen_1_1,besitzung_1_1) )).++fof(fact_2367,axiom,(+ chea(besohlen_1_1,besohlung_1_1) )).++fof(fact_2368,axiom,(+ chea(besohlen_1_1,sohlen_2_1) )).++fof(fact_2369,axiom,(+ chea(besolden_1_1,besoldung_1_1) )).++fof(fact_2370,axiom,(+ chea(besorgen_1_1,anschaffung_1_1) )).++fof(fact_2371,axiom,(+ chea(besorgen_1_1,besorgen_2_1) )).++fof(fact_2372,axiom,(+ chea(bespannen_1_1,bespannen_2_1) )).++fof(fact_2373,axiom,(+ chea(bespannen_1_1,bespannung_1_1) )).++fof(fact_2374,axiom,(+ chea(bespielen_1_1,bespielen_2_1) )).++fof(fact_2375,axiom,(+ chea(bespielen_1_1,bespielung_1_1) )).++fof(fact_2376,axiom,(+ chea(besprechen_1_1,besprechung_1_1) )).++fof(fact_2377,axiom,(+ chea(besprechen_1_1,besprechung_1_2) )).++fof(fact_2378,axiom,(+ chea(besprechen_1_1,diskussion_1_3) )).++fof(fact_2379,axiom,(+ chea(besprengen_1_1,besprengen_2_1) )).++fof(fact_2380,axiom,(+ chea(besprengen_1_1,besprengung_1_1) )).++fof(fact_2381,axiom,(+ chea(bespringen_1_1,bespringen_2_1) )).++fof(fact_2382,axiom,(+ chea(bespr__374hen_1_1,bespr__374hen_2_1) )).++fof(fact_2383,axiom,(+ chea(bespr__374hen_1_1,bespr__374hung_1_1) )).++fof(fact_2384,axiom,(+ chea(bessern_1_2,besserung_1_2) )).++fof(fact_2385,axiom,(+ chea(bestallen_1_1,bestallung_1_1) )).++fof(fact_2386,axiom,(+ chea(bestechen_1_1,bestechung_1_1) )).++fof(fact_2387,axiom,(+ chea(bestechen_1_1,korrumpierung_1_1) )).++fof(fact_2388,axiom,(+ chea(bestecken_1_1,bestecken_2_1) )).++fof(fact_2389,axiom,(+ chea(bestehen_3_2,standhalten_2_1) )).++fof(fact_2390,axiom,(+ chea(besteigen_1_1,aufstieg_1_1) )).++fof(fact_2391,axiom,(+ chea(besteigen_1_1,besteigung_1_1) )).++fof(fact_2392,axiom,(+ chea(bestellen_1_1,bestellung_1_2) )).++fof(fact_2393,axiom,(+ chea(bestellen_1_2,beackerung_1_1) )).++fof(fact_2394,axiom,(+ chea(bestellen_1_2,reservation_1_1) )).++fof(fact_2395,axiom,(+ chea(bestellen_1_2,reservierung_1_1) )).++fof(fact_2396,axiom,(+ chea(besticken_1_1,besticken_2_1) )).++fof(fact_2397,axiom,(+ chea(besticken_1_1,bestickung_1_1) )).++fof(fact_2398,axiom,(+ chea(bestimmen_1_2,bestimmung_1_3) )).++fof(fact_2399,axiom,(+ chea(bestimmen_1_3,bestimmung_1_2) )).++fof(fact_2400,axiom,(+ chea(bestimmen_1_4,festlegung_1_1) )).++fof(fact_2401,axiom,(+ chea(bestocken_1_1,bestockung_1_1) )).++fof(fact_2402,axiom,(+ chea(bestrafen_1_1,bestrafen_2_1) )).++fof(fact_2403,axiom,(+ chea(bestrafen_1_1,bestrafung_1_1) )).++fof(fact_2404,axiom,(+ chea(bestrahlen_1_1,bestrahlen_2_1) )).++fof(fact_2405,axiom,(+ chea(bestrahlen_1_1,bestrahlung_1_1) )).++fof(fact_2406,axiom,(+ chea(bestreben_1_1,bestreben_2_1) )).++fof(fact_2407,axiom,(+ chea(bestreichen_1_1,bestreichen_2_1) )).++fof(fact_2408,axiom,(+ chea(bestreichen_1_1,bestreichung_1_1) )).++fof(fact_2409,axiom,(+ chea(bestreiken_1_1,bestreikung_1_1) )).++fof(fact_2410,axiom,(+ chea(bestreuen_1_1,bestreuen_2_1) )).++fof(fact_2411,axiom,(+ chea(bestreuen_1_1,bestreuung_1_1) )).++fof(fact_2412,axiom,(+ chea(bestricken_1_1,bestrickung_1_1) )).++fof(fact_2413,axiom,(+ chea(bestuhlen_1_1,bestuhlung_1_1) )).++fof(fact_2414,axiom,(+ chea(best__344tigen_1_1,best__344tigen_2_1) )).++fof(fact_2415,axiom,(+ chea(best__344tigen_1_1,best__344tigung_1_1) )).++fof(fact_2416,axiom,(+ chea(best__344uben_1_1,best__344uben_2_1) )).++fof(fact_2417,axiom,(+ chea(best__344uben_1_1,best__344ubung_1_1) )).++fof(fact_2418,axiom,(+ chea(best__374rmen_1_1,best__374rmung_1_1) )).++fof(fact_2419,axiom,(+ chea(best__374rzen_1_1,best__374rzung_1_1) )).++fof(fact_2420,axiom,(+ chea(besuchen_1_1,besuch_1_1) )).++fof(fact_2421,axiom,(+ chea(besuchen_1_1,vorbeischauen_2_1) )).++fof(fact_2422,axiom,(+ chea(betanken_1_1,betankung_1_1) )).++fof(fact_2423,axiom,(+ chea(betauen_1_1,tauen_2_1) )).++fof(fact_2424,axiom,(+ chea(beteiligen_1_1,beteiligung_1_2) )).++fof(fact_2425,axiom,(+ chea(beteiligen_1_2,beteiligung_1_1) )).++fof(fact_2426,axiom,(+ chea(beten_1_1,beten_2_1) )).++fof(fact_2427,axiom,(+ chea(betonen_1_1,betonung_1_1) )).++fof(fact_2428,axiom,(+ chea(betonieren_1_1,betonieren_2_1) )).++fof(fact_2429,axiom,(+ chea(betonieren_1_1,betonierung_1_1) )).++fof(fact_2430,axiom,(+ chea(betonnen_1_1,betonnung_1_1) )).++fof(fact_2431,axiom,(+ chea(betrauen_1_1,betrauung_1_1) )).++fof(fact_2432,axiom,(+ chea(betreiben_1_1,betreiben_2_1) )).++fof(fact_2433,axiom,(+ chea(betreuen_1_1,betreuen_2_1) )).++fof(fact_2434,axiom,(+ chea(betreuen_1_1,betreuung_1_1) )).++fof(fact_2435,axiom,(+ chea(betr__344ufeln_1_1,betr__344ufeln_2_1) )).++fof(fact_2436,axiom,(+ chea(betteln_1_1,betteln_2_1) )).++fof(fact_2437,axiom,(+ chea(betten_1_1,betten_2_1) )).++fof(fact_2438,axiom,(+ chea(betten_1_1,bettung_1_1) )).++fof(fact_2439,axiom,(+ chea(betupfen_1_1,betupfen_2_1) )).++fof(fact_2440,axiom,(+ chea(bet__344tigen_1_1,bet__344tigung_1_1) )).++fof(fact_2441,axiom,(+ chea(bet__344tigen_1_2,bet__344tigung_1_2) )).++fof(fact_2442,axiom,(+ chea(bet__366ren_1_1,bet__366rung_1_1) )).++fof(fact_2443,axiom,(+ chea(beugen_1_1,unterwerfung_1_2) )).++fof(fact_2444,axiom,(+ chea(beulen_1_1,beulen_2_1) )).++fof(fact_2445,axiom,(+ chea(beunruhigen_1_1,beunruhigung_1_1) )).++fof(fact_2446,axiom,(+ chea(beurkunden_1_1,beurkundung_1_1) )).++fof(fact_2447,axiom,(+ chea(beurlauben_1_1,beurlaubung_1_1) )).++fof(fact_2448,axiom,(+ chea(beurteilen_1_1,beurteilung_1_1) )).++fof(fact_2449,axiom,(+ chea(beuteln_1_1,beuteln_2_1) )).++fof(fact_2450,axiom,(+ chea(beuten_1_1,beutung_1_1) )).++fof(fact_2451,axiom,(+ chea(bevollm__344chtigen_1_1,bevollm__344chtigen_2_1) )).++fof(fact_2452,axiom,(+ chea(bevollm__344chtigen_1_1,bevollm__344chtigung_1_1) )).++fof(fact_2453,axiom,(+ chea(bevormunden_1_1,bevormunden_2_1) )).++fof(fact_2454,axiom,(+ chea(bevormunden_1_1,bevormundung_1_1) )).++fof(fact_2455,axiom,(+ chea(bevormunden_1_1,g__344ngelung_1_1) )).++fof(fact_2456,axiom,(+ chea(bevorraten_1_1,bevorraten_2_1) )).++fof(fact_2457,axiom,(+ chea(bevorraten_1_1,bevorratung_1_1) )).++fof(fact_2458,axiom,(+ chea(bevorschussen_1_1,bevorschussung_1_1) )).++fof(fact_2459,axiom,(+ chea(bevorteilen_1_1,bevorteilung_1_1) )).++fof(fact_2460,axiom,(+ chea(bevorzugen_1_1,bevorzugung_1_1) )).++fof(fact_2461,axiom,(+ chea(bevorzugen_1_1,privilegierung_1_1) )).++fof(fact_2462,axiom,(+ chea(bewachen_1_1,bewachen_2_1) )).++fof(fact_2463,axiom,(+ chea(bewachsen_1_1,bewachsen_2_1) )).++fof(fact_2464,axiom,(+ chea(bewegen_1_2,bewegung_1_1) )).++fof(fact_2465,axiom,(+ chea(bewehren_1_1,bewehren_2_1) )).++fof(fact_2466,axiom,(+ chea(bewehren_1_1,bewehrung_1_1) )).++fof(fact_2467,axiom,(+ chea(beweiden_1_1,beweidung_1_1) )).++fof(fact_2468,axiom,(+ chea(beweinen_1_1,beweinen_2_1) )).++fof(fact_2469,axiom,(+ chea(beweinen_1_1,beweinung_1_1) )).++fof(fact_2470,axiom,(+ chea(beweisen_1_1,beweisen_2_1) )).++fof(fact_2471,axiom,(+ chea(beweisen_1_1,beweisung_1_1) )).++fof(fact_2472,axiom,(+ chea(bewenden_1_1,bewenden_2_1) )).++fof(fact_2473,axiom,(+ chea(bewerben_1_1,bewerben_2_1) )).++fof(fact_2474,axiom,(+ chea(bewerben_1_1,bewerbung_1_1) )).++fof(fact_2475,axiom,(+ chea(bewerfen_1_1,bewerfen_2_1) )).++fof(fact_2476,axiom,(+ chea(bewerkstelligen_1_1,ausf__374hrung_1_2) )).++fof(fact_2477,axiom,(+ chea(bewilligen_1_1,bewilligen_2_1) )).++fof(fact_2478,axiom,(+ chea(bewilligen_1_1,bewilligung_1_1) )).++fof(fact_2479,axiom,(+ chea(bewillkommnen_1_1,salutation_1_1) )).++fof(fact_2480,axiom,(+ chea(bewillkommnen_1_1,salutieren_2_1) )).++fof(fact_2481,axiom,(+ chea(bewillkommnen_1_1,salutierung_1_1) )).++fof(fact_2482,axiom,(+ chea(bewirken_1_1,bewirken_2_1) )).++fof(fact_2483,axiom,(+ chea(bewirken_1_1,bewirkung_1_1) )).++fof(fact_2484,axiom,(+ chea(bewirten_1_1,bewirtung_1_1) )).++fof(fact_2485,axiom,(+ chea(bewirtschaften_1_1,beackerung_1_1) )).++fof(fact_2486,axiom,(+ chea(bewirtschaften_1_1,bewirtschaften_2_1) )).++fof(fact_2487,axiom,(+ chea(bewohnen_1_1,bewohnen_2_1) )).++fof(fact_2488,axiom,(+ chea(bewohnen_1_1,bewohnung_1_1) )).++fof(fact_2489,axiom,(+ chea(bewurzeln_1_1,bewurzeln_2_1) )).++fof(fact_2490,axiom,(+ chea(bew__344ltigen_1_1,bew__344ltigen_2_1) )).++fof(fact_2491,axiom,(+ chea(bew__366lken_1_1,bew__366lkung_1_1) )).++fof(fact_2492,axiom,(+ chea(bezahlen_1_1,bezahlen_2_1) )).++fof(fact_2493,axiom,(+ chea(bezahlen_1_2,abgeltung_1_1) )).++fof(fact_2494,axiom,(+ chea(bezeichnen_1_1,bezeichnung_1_2) )).++fof(fact_2495,axiom,(+ chea(bezeigen_1_1,bezeigung_1_1) )).++fof(fact_2496,axiom,(+ chea(bezeugen_1_1,bezeugen_2_1) )).++fof(fact_2497,axiom,(+ chea(bezichtigen_1_1,bezichtigung_1_1) )).++fof(fact_2498,axiom,(+ chea(bezichtigen_1_1,zeihen_2_1) )).++fof(fact_2499,axiom,(+ chea(beziehen_3_2,beziehung_1_2) )).++fof(fact_2500,axiom,(+ chea(bezuschussen_1_1,bezuschussung_1_1) )).++fof(fact_2501,axiom,(+ chea(bez__344hmen_1_1,bez__344hmung_1_1) )).++fof(fact_2502,axiom,(+ chea(be__344ngstigen_1_1,ver__344ngstigung_1_1) )).++fof(fact_2503,axiom,(+ chea(bibliographieren_1_1,bibliographieren_2_1) )).++fof(fact_2504,axiom,(+ chea(bibliographieren_1_1,bibliographierung_1_1) )).++fof(fact_2505,axiom,(+ chea(biegen_1_1,abknickung_1_1) )).++fof(fact_2506,axiom,(+ chea(biegen_1_1,biegen_2_1) )).++fof(fact_2507,axiom,(+ chea(bilanzieren_1_1,bilanzieren_2_1) )).++fof(fact_2508,axiom,(+ chea(bilanzieren_1_1,bilanzierung_1_1) )).++fof(fact_2509,axiom,(+ chea(bilden_1_2,formung_1_1) )).++fof(fact_2510,axiom,(+ chea(bilden_1_3,bildung_1_3) )).++fof(fact_2511,axiom,(+ chea(billigen_1_1,billigen_2_1) )).++fof(fact_2512,axiom,(+ chea(billigen_1_1,billigung_1_1) )).++fof(fact_2513,axiom,(+ chea(bimmeln_1_1,bimmeln_2_1) )).++fof(fact_2514,axiom,(+ chea(bimmeln_1_1,l__344uten_2_1) )).++fof(fact_2515,axiom,(+ chea(bimmeln_1_1,schellen_2_1) )).++fof(fact_2516,axiom,(+ chea(bimmeln_1_1,schellung_1_1) )).++fof(fact_2517,axiom,(+ chea(bimsen_1_1,bimsen_2_1) )).++fof(fact_2518,axiom,(+ chea(bimsen_1_1,pauken_2_1) )).++fof(fact_2519,axiom,(+ chea(binden_1_1,bindung_1_3) )).++fof(fact_2520,axiom,(+ chea(bitten_1_1,bitte_1_1) )).++fof(fact_2521,axiom,(+ chea(bituminieren_1_1,bituminierung_1_1) )).++fof(fact_2522,axiom,(+ chea(biwakieren_1_1,biwakieren_2_1) )).++fof(fact_2523,axiom,(+ chea(biwakieren_1_1,zelten_2_1) )).++fof(fact_2524,axiom,(+ chea(blanchieren_1_1,blanchieren_2_1) )).++fof(fact_2525,axiom,(+ chea(blasonieren_1_1,blasonieren_2_1) )).++fof(fact_2526,axiom,(+ chea(blasonieren_1_1,blasonierung_1_1) )).++fof(fact_2527,axiom,(+ chea(blasphemieren_1_1,ironie_1_1) )).++fof(fact_2528,axiom,(+ chea(blasphemieren_1_1,verh__366hnen_2_1) )).++fof(fact_2529,axiom,(+ chea(blasphemieren_1_1,verspotten_2_1) )).++fof(fact_2530,axiom,(+ chea(blasphemieren_1_1,verspottung_1_1) )).++fof(fact_2531,axiom,(+ chea(blatten_1_1,blatten_2_1) )).++fof(fact_2532,axiom,(+ chea(blauen_1_1,blauen_2_1) )).++fof(fact_2533,axiom,(+ chea(blaumachen_1_1,blaumachen_2_1) )).++fof(fact_2534,axiom,(+ chea(blaumachen_1_1,bl__344uen_2_1) )).++fof(fact_2535,axiom,(+ chea(blaumachen_1_1,schw__344nzen_2_1) )).++fof(fact_2536,axiom,(+ chea(blecken_1_1,blecken_2_1) )).++fof(fact_2537,axiom,(+ chea(blecken_1_1,fletschen_2_1) )).++fof(fact_2538,axiom,(+ chea(blenden_1_1,blenden_2_1) )).++fof(fact_2539,axiom,(+ chea(blenden_1_1,blendung_1_1) )).++fof(fact_2540,axiom,(+ chea(blessieren_1_1,verwunden_2_1) )).++fof(fact_2541,axiom,(+ chea(blessieren_1_1,verwundung_1_1) )).++fof(fact_2542,axiom,(+ chea(blicken_1_1,blicken_2_1) )).++fof(fact_2543,axiom,(+ chea(blindschreiben_1_1,blindschreiben_2_1) )).++fof(fact_2544,axiom,(+ chea(blindspielen_1_1,blindspielen_2_1) )).++fof(fact_2545,axiom,(+ chea(blinzeln_1_1,blinzeln_2_1) )).++fof(fact_2546,axiom,(+ chea(blocken_1_1,blocken_2_1) )).++fof(fact_2547,axiom,(+ chea(blocken_1_1,blockung_1_1) )).++fof(fact_2548,axiom,(+ chea(blockieren_1_1,blockierung_1_1) )).++fof(fact_2549,axiom,(+ chea(blockieren_1_2,blockierung_1_2) )).++fof(fact_2550,axiom,(+ chea(blondieren_1_1,blondieren_2_1) )).++fof(fact_2551,axiom,(+ chea(blondieren_1_1,blondierung_1_1) )).++fof(fact_2552,axiom,(+ chea(blubbern_1_1,sprudeln_2_1) )).++fof(fact_2553,axiom,(+ chea(bluffen_1_1,bluffen_2_1) )).++fof(fact_2554,axiom,(+ chea(bluten_1_1,bluten_2_1) )).++fof(fact_2555,axiom,(+ chea(bluten_1_1,blutung_1_1) )).++fof(fact_2556,axiom,(+ chea(bl__344hen_1_1,bl__344hung_1_1) )).++fof(fact_2557,axiom,(+ chea(bl__366ken_1_1,bl__366ken_2_1) )).++fof(fact_2558,axiom,(+ chea(bl__374hen_1_2,boomen_2_1) )).++fof(fact_2559,axiom,(+ chea(bodmen_1_1,bodmen_2_1) )).++fof(fact_2560,axiom,(+ chea(bohnen_1_1,bohnen_2_1) )).++fof(fact_2561,axiom,(+ chea(bohren_1_1,bohren_2_1) )).++fof(fact_2562,axiom,(+ chea(bombardieren_1_1,bombardement_1_1) )).++fof(fact_2563,axiom,(+ chea(bombardieren_1_2,bombardierung_1_2) )).++fof(fact_2564,axiom,(+ chea(bomben_1_1,bomben_2_1) )).++fof(fact_2565,axiom,(+ chea(bombieren_1_1,bombieren_2_1) )).++fof(fact_2566,axiom,(+ chea(bombieren_1_1,bombierung_1_1) )).++fof(fact_2567,axiom,(+ chea(booten_1_1,booten_2_1) )).++fof(fact_2568,axiom,(+ chea(bordieren_1_1,bordierung_1_1) )).++fof(fact_2569,axiom,(+ chea(bosseln_1_1,bosseln_2_1) )).++fof(fact_2570,axiom,(+ chea(botanisieren_1_1,botanisieren_2_1) )).++fof(fact_2571,axiom,(+ chea(boykottieren_1_1,boykott_1_1) )).++fof(fact_2572,axiom,(+ chea(boykottieren_1_1,boykottierung_1_1) )).++fof(fact_2573,axiom,(+ chea(branden_1_1,branden_2_1) )).++fof(fact_2574,axiom,(+ chea(branden_1_1,brandung_1_1) )).++fof(fact_2575,axiom,(+ chea(brandmarken_1_1,brandmarken_2_1) )).++fof(fact_2576,axiom,(+ chea(brandmarken_1_1,brandmarkung_1_1) )).++fof(fact_2577,axiom,(+ chea(brassen_1_1,brassen_2_1) )).++fof(fact_2578,axiom,(+ chea(brauen_1_1,brauen_2_1) )).++fof(fact_2579,axiom,(+ chea(brausen_1_1,brausen_2_1) )).++fof(fact_2580,axiom,(+ chea(breittreten_1_1,breittreten_2_1) )).++fof(fact_2581,axiom,(+ chea(brennen_1_5,destillation_1_1) )).++fof(fact_2582,axiom,(+ chea(brennen_1_5,destillieren_2_1) )).++fof(fact_2583,axiom,(+ chea(brennen_1_5,destillierung_1_1) )).++fof(fact_2584,axiom,(+ chea(brettern_1_1,flitzen_2_1) )).++fof(fact_2585,axiom,(+ chea(brettern_1_1,preschen_2_1) )).++fof(fact_2586,axiom,(+ chea(brikettieren_1_1,brikettieren_2_1) )).++fof(fact_2587,axiom,(+ chea(brikettieren_1_1,brikettierung_1_1) )).++fof(fact_2588,axiom,(+ chea(brillieren_1_1,brillieren_2_1) )).++fof(fact_2589,axiom,(+ chea(bringen_1_k,verwirren_2_1) )).++fof(fact_2590,axiom,(+ chea(bringen_1_k,verwirrung_1_1) )).++fof(fact_2591,axiom,(+ chea(brodeln_1_1,brodeln_2_1) )).++fof(fact_2592,axiom,(+ chea(bronzieren_1_1,bronzieren_2_1) )).++fof(fact_2593,axiom,(+ chea(bronzieren_1_1,bronzierung_1_1) )).++fof(fact_2594,axiom,(+ chea(bronzieren_1_1,sonnen_2_1) )).++fof(fact_2595,axiom,(+ chea(brummeln_1_1,brummeln_2_1) )).++fof(fact_2596,axiom,(+ chea(brummeln_1_1,grummeln_2_1) )).++fof(fact_2597,axiom,(+ chea(brummen_1_1,brummen_2_1) )).++fof(fact_2598,axiom,(+ chea(brutalisieren_1_1,brutalisierung_1_1) )).++fof(fact_2599,axiom,(+ chea(br__344teln_1_1,br__344teln_2_1) )).++fof(fact_2600,axiom,(+ chea(br__344teln_1_1,grillieren_2_1) )).++fof(fact_2601,axiom,(+ chea(br__344unen_1_1,br__344unen_2_1) )).++fof(fact_2602,axiom,(+ chea(br__344unen_1_1,br__344unung_1_1) )).++fof(fact_2603,axiom,(+ chea(br__374hen_1_1,br__374hen_2_1) )).++fof(fact_2604,axiom,(+ chea(br__374llen_1_1,br__374llen_2_1) )).++fof(fact_2605,axiom,(+ chea(buchen_1_1,buchung_1_1) )).++fof(fact_2606,axiom,(+ chea(buchen_1_2,buchung_1_2) )).++fof(fact_2607,axiom,(+ chea(buchstabieren_1_1,buchstabieren_2_1) )).++fof(fact_2608,axiom,(+ chea(buchstabieren_1_1,buchstabierung_1_1) )).++fof(fact_2609,axiom,(+ chea(buddeln_1_1,buddeln_2_1) )).++fof(fact_2610,axiom,(+ chea(buddeln_1_1,grabung_1_2) )).++fof(fact_2611,axiom,(+ chea(budgetieren_1_1,budget_1_1) )).++fof(fact_2612,axiom,(+ chea(bugsieren_1_1,bugsieren_2_1) )).++fof(fact_2613,axiom,(+ chea(buhen_1_1,buhen_2_1) )).++fof(fact_2614,axiom,(+ chea(buhlen_1_1,buhlen_2_1) )).++fof(fact_2615,axiom,(+ chea(bummeln_1_1,bummeln_2_1) )).++fof(fact_2616,axiom,(+ chea(bumsen_1_1,begattung_1_1) )).++fof(fact_2617,axiom,(+ chea(bumsen_1_1,bumsen_2_1) )).++fof(fact_2618,axiom,(+ chea(bumsen_1_1,ficken_2_1) )).++fof(fact_2619,axiom,(+ chea(bumsen_1_1,kopulieren_2_1) )).++fof(fact_2620,axiom,(+ chea(bumsen_1_1,nageln_2_1) )).++fof(fact_2621,axiom,(+ chea(bumsen_1_1,v__366geln_2_1) )).++fof(fact_2622,axiom,(+ chea(bunkern_1_1,horten_2_1) )).++fof(fact_2623,axiom,(+ chea(bunkern_1_1,hortung_1_1) )).++fof(fact_2624,axiom,(+ chea(b__344hen_1_1,b__344hen_2_1) )).++fof(fact_2625,axiom,(+ chea(b__344hen_1_1,b__344hung_1_1) )).++fof(fact_2626,axiom,(+ chea(b__344ndigen_1_1,abrichtung_1_1) )).++fof(fact_2627,axiom,(+ chea(b__344ndigen_1_1,b__344ndigen_2_1) )).++fof(fact_2628,axiom,(+ chea(b__344umen_1_1,b__344umen_2_1) )).++fof(fact_2629,axiom,(+ chea(b__366lken_1_1,b__366lken_2_1) )).++fof(fact_2630,axiom,(+ chea(b__366rdeln_1_1,b__366rdeln_2_1) )).++fof(fact_2631,axiom,(+ chea(b__366schen_1_1,b__366schung_1_1) )).++fof(fact_2632,axiom,(+ chea(b__374cken_1_1,b__374cken_2_1) )).++fof(fact_2633,axiom,(+ chea(b__374ffeln_1_1,b__374ffeln_2_1) )).++fof(fact_2634,axiom,(+ chea(b__374ffeln_1_1,erlernen_2_1) )).++fof(fact_2635,axiom,(+ chea(b__374ffeln_1_1,erlernung_1_1) )).++fof(fact_2636,axiom,(+ chea(b__374geln_1_1,b__374geln_2_1) )).++fof(fact_2637,axiom,(+ chea(b__374ndeln_1_1,b__374ndeln_2_1) )).++fof(fact_2638,axiom,(+ chea(b__374ndeln_1_1,zentralisation_1_1) )).++fof(fact_2639,axiom,(+ chea(b__374rden_1_1,b__374rden_2_1) )).++fof(fact_2640,axiom,(+ chea(b__374rokratisieren_1_1,b__374rokratisierung_1_1) )).++fof(fact_2641,axiom,(+ chea(b__374rsten_1_1,b__374rsten_2_1) )).++fof(fact_2642,axiom,(+ chea(b__374scheln_1_1,b__374scheln_2_1) )).++fof(fact_2643,axiom,(+ chea(campen_1_1,kampieren_2_1) )).++fof(fact_2644,axiom,(+ chea(changieren_1_1,changieren_2_1) )).++fof(fact_2645,axiom,(+ chea(charakterisieren_1_1,beschreibung_1_1) )).++fof(fact_2646,axiom,(+ chea(chloren_1_1,chlorung_1_1) )).++fof(fact_2647,axiom,(+ chea(choreographieren_1_1,choreographieren_2_1) )).++fof(fact_2648,axiom,(+ chea(christianisieren_1_1,christianisierung_1_1) )).++fof(fact_2649,axiom,(+ chea(coachen_1_1,coachen_2_1) )).++fof(fact_2650,axiom,(+ chea(coachen_1_1,coaching_1_1) )).++fof(fact_2651,axiom,(+ chea(codieren_1_1,chiffrierung_1_1) )).++fof(fact_2652,axiom,(+ chea(codieren_1_1,codieren_2_1) )).++fof(fact_2653,axiom,(+ chea(codieren_1_1,codierung_1_1) )).++fof(fact_2654,axiom,(+ chea(codieren_1_1,kodieren_2_1) )).++fof(fact_2655,axiom,(+ chea(codieren_1_1,kodifizierung_1_1) )).++fof(fact_2656,axiom,(+ chea(codieren_1_1,verschl__374sseln_2_1) )).++fof(fact_2657,axiom,(+ chea(computerisieren_1_1,computerisierung_1_1) )).++fof(fact_2658,axiom,(+ chea(dahingehen_1_1,zergehen_2_1) )).++fof(fact_2659,axiom,(+ chea(dampfen_1_1,dampfen_2_1) )).++fof(fact_2660,axiom,(+ chea(danksagen_1_1,danksagung_1_1) )).++fof(fact_2661,axiom,(+ chea(darben_1_1,darben_2_1) )).++fof(fact_2662,axiom,(+ chea(darbieten_1_1,darbietung_1_1) )).++fof(fact_2663,axiom,(+ chea(darbieten_1_2,darbietung_1_2) )).++fof(fact_2664,axiom,(+ chea(darlegen_1_1,auslegung_1_1) )).++fof(fact_2665,axiom,(+ chea(darlegen_1_1,darlegen_2_1) )).++fof(fact_2666,axiom,(+ chea(darniederliegen_1_1,darniederliegen_2_1) )).++fof(fact_2667,axiom,(+ chea(dasein_1_1,da_sein_4_1) )).++fof(fact_2668,axiom,(+ chea(dasein_1_1,existieren_2_1) )).++fof(fact_2669,axiom,(+ chea(datieren_1_1,datieren_2_1) )).++fof(fact_2670,axiom,(+ chea(datieren_1_1,datierung_1_1) )).++fof(fact_2671,axiom,(+ chea(davonlaufen_1_1,davonlaufen_2_1) )).++fof(fact_2672,axiom,(+ chea(davonlaufen_1_1,fortlaufen_2_1) )).++fof(fact_2673,axiom,(+ chea(davonlaufen_1_1,weglaufen_2_1) )).++fof(fact_2674,axiom,(+ chea(davonlaufen_1_1,wegrennen_2_1) )).++fof(fact_2675,axiom,(+ chea(dazugeh__366ren_1_1,dazugeh__366ren_2_1) )).++fof(fact_2676,axiom,(+ chea(dazulernen_1_1,dazulernen_2_1) )).++fof(fact_2677,axiom,(+ chea(dechiffrieren_1_1,dechiffrieren_2_1) )).++fof(fact_2678,axiom,(+ chea(dechiffrieren_1_1,dechiffrierung_1_1) )).++fof(fact_2679,axiom,(+ chea(dechiffrieren_1_1,decodieren_2_1) )).++fof(fact_2680,axiom,(+ chea(dechiffrieren_1_1,decodierung_1_1) )).++fof(fact_2681,axiom,(+ chea(dechiffrieren_1_1,dekodieren_2_1) )).++fof(fact_2682,axiom,(+ chea(dechiffrieren_1_1,entschl__374sseln_2_1) )).++fof(fact_2683,axiom,(+ chea(dechiffrieren_1_1,entzifferung_1_1) )).++fof(fact_2684,axiom,(+ chea(deckeln_1_1,deckeln_2_1) )).++fof(fact_2685,axiom,(+ chea(decken_1_2,deckung_1_2) )).++fof(fact_2686,axiom,(+ chea(defilieren_1_1,defilieren_2_1) )).++fof(fact_2687,axiom,(+ chea(defilieren_1_1,defilierung_1_1) )).++fof(fact_2688,axiom,(+ chea(deflorieren_1_1,defloration_1_1) )).++fof(fact_2689,axiom,(+ chea(deformieren_1_1,deformation_1_1) )).++fof(fact_2690,axiom,(+ chea(degenerieren_1_1,degeneration_1_1) )).++fof(fact_2691,axiom,(+ chea(degenerieren_1_1,degenerierung_1_1) )).++fof(fact_2692,axiom,(+ chea(degradieren_1_1,degradierung_1_1) )).++fof(fact_2693,axiom,(+ chea(dehnen_1_1,dehnen_2_1) )).++fof(fact_2694,axiom,(+ chea(dehnen_1_1,dehnung_1_1) )).++fof(fact_2695,axiom,(+ chea(deichen_1_1,deichen_2_1) )).++fof(fact_2696,axiom,(+ chea(deindustrialisieren_1_1,deindustrialisierung_1_1) )).++fof(fact_2697,axiom,(+ chea(deklamieren_1_1,deklamation_1_1) )).++fof(fact_2698,axiom,(+ chea(deklamieren_1_1,deklamieren_2_1) )).++fof(fact_2699,axiom,(+ chea(deklinieren_1_1,deklination_1_1) )).++fof(fact_2700,axiom,(+ chea(deklinieren_1_1,deklinieren_2_1) )).++fof(fact_2701,axiom,(+ chea(deklinieren_1_1,deklinierung_1_1) )).++fof(fact_2702,axiom,(+ chea(dekomponieren_1_1,dekomponieren_2_1) )).++fof(fact_2703,axiom,(+ chea(delegieren_1_2,delegation_1_2) )).++fof(fact_2704,axiom,(+ chea(deliberieren_1_1,deliberation_1_1) )).++fof(fact_2705,axiom,(+ chea(deliberieren_1_1,deliberieren_2_1) )).++fof(fact_2706,axiom,(+ chea(delirieren_1_1,delirieren_2_1) )).++fof(fact_2707,axiom,(+ chea(demaskieren_1_1,demaskierung_1_1) )).++fof(fact_2708,axiom,(+ chea(dementieren_1_1,dementieren_2_1) )).++fof(fact_2709,axiom,(+ chea(demilitarisieren_1_1,demilitarisierung_1_1) )).++fof(fact_2710,axiom,(+ chea(demissionieren_1_1,demissionierung_1_1) )).++fof(fact_2711,axiom,(+ chea(demobilisieren_1_1,demobilisation_1_1) )).++fof(fact_2712,axiom,(+ chea(demobilisieren_1_1,demobilisierung_1_1) )).++fof(fact_2713,axiom,(+ chea(demokratisieren_1_1,demokratisierung_1_1) )).++fof(fact_2714,axiom,(+ chea(demolieren_1_1,aderla__337_1_1) )).++fof(fact_2715,axiom,(+ chea(demolieren_1_1,demolieren_2_1) )).++fof(fact_2716,axiom,(+ chea(demolieren_1_1,demolierung_1_1) )).++fof(fact_2717,axiom,(+ chea(demolieren_1_1,himmeln_2_1) )).++fof(fact_2718,axiom,(+ chea(demolieren_1_1,schrotten_2_1) )).++fof(fact_2719,axiom,(+ chea(demolieren_1_1,sch__344digen_2_1) )).++fof(fact_2720,axiom,(+ chea(demolieren_1_1,zerstoerung_1_1) )).++fof(fact_2721,axiom,(+ chea(demolieren_1_1,zerst__366ren_2_1) )).++fof(fact_2722,axiom,(+ chea(demonstrieren_1_2,demo__1_1) )).++fof(fact_2723,axiom,(+ chea(demonstrieren_1_3,demonstration_1_3) )).++fof(fact_2724,axiom,(+ chea(demontieren_1_1,demontieren_2_1) )).++fof(fact_2725,axiom,(+ chea(demontieren_1_1,demontierung_1_1) )).++fof(fact_2726,axiom,(+ chea(demoralisieren_1_1,demoralisation_1_1) )).++fof(fact_2727,axiom,(+ chea(demoralisieren_1_1,demoralisierung_1_1) )).++fof(fact_2728,axiom,(+ chea(demoralisieren_1_1,demotivation_1_1) )).++fof(fact_2729,axiom,(+ chea(demoralisieren_1_1,demotivierung_1_1) )).++fof(fact_2730,axiom,(+ chea(demoralisieren_1_1,einsch__374chterung_1_2) )).++fof(fact_2731,axiom,(+ chea(dem__374tigen_1_1,dem__374tigung_1_1) )).++fof(fact_2732,axiom,(+ chea(denationalisieren_1_1,denationalisation_1_1) )).++fof(fact_2733,axiom,(+ chea(denationalisieren_1_1,denationalisierung_1_1) )).++fof(fact_2734,axiom,(+ chea(denaturieren_1_1,denaturieren_2_1) )).++fof(fact_2735,axiom,(+ chea(denaturieren_1_1,denaturierung_1_1) )).++fof(fact_2736,axiom,(+ chea(denazifizieren_1_1,denazifizierung_1_1) )).++fof(fact_2737,axiom,(+ chea(denazifizieren_1_1,entnazifizierung_1_1) )).++fof(fact_2738,axiom,(+ chea(denotieren_1_1,denotation_1_1) )).++fof(fact_2739,axiom,(+ chea(denunzieren_1_1,denunzation_1_1) )).++fof(fact_2740,axiom,(+ chea(denunzieren_1_1,denunziation_1_1) )).++fof(fact_2741,axiom,(+ chea(denunzieren_1_1,denunzieren_2_1) )).++fof(fact_2742,axiom,(+ chea(denunzieren_1_1,denunzierung_1_1) )).++fof(fact_2743,axiom,(+ chea(deponieren_1_1,lagerung_1_1) )).++fof(fact_2744,axiom,(+ chea(dequalifizieren_1_1,dequalifizierung_1_1) )).++fof(fact_2745,axiom,(+ chea(deregulieren_1_1,deregulation_1_1) )).++fof(fact_2746,axiom,(+ chea(deregulieren_1_1,deregulieren_2_1) )).++fof(fact_2747,axiom,(+ chea(deregulieren_1_1,entstaatlichung_1_1) )).++fof(fact_2748,axiom,(+ chea(deregulieren_1_1,privatisieren_2_1) )).++fof(fact_2749,axiom,(+ chea(derivieren_1_1,derivation_1_1) )).++fof(fact_2750,axiom,(+ chea(desarmieren_1_1,abruestung_1_1) )).++fof(fact_2751,axiom,(+ chea(desarmieren_1_1,desarmierung_1_1) )).++fof(fact_2752,axiom,(+ chea(desavouieren_1_1,desavouierung_1_1) )).++fof(fact_2753,axiom,(+ chea(desavouieren_1_1,kompromittieren_2_1) )).++fof(fact_2754,axiom,(+ chea(desavouieren_1_1,kompromittierung_1_1) )).++fof(fact_2755,axiom,(+ chea(desensibilisieren_1_1,desensibilisierung_1_1) )).++fof(fact_2756,axiom,(+ chea(desertieren_1_1,desertation_1_1) )).++fof(fact_2757,axiom,(+ chea(desertieren_1_1,desertieren_2_1) )).++fof(fact_2758,axiom,(+ chea(desertieren_1_1,desertierung_1_1) )).++fof(fact_2759,axiom,(+ chea(desillusionieren_1_1,desillusion_1_1) )).++fof(fact_2760,axiom,(+ chea(desillusionieren_1_1,desillusionierung_1_1) )).++fof(fact_2761,axiom,(+ chea(desinfizieren_1_1,desinfizierung_1_1) )).++fof(fact_2762,axiom,(+ chea(desintegrieren_1_1,ausgrenzung_1_1) )).++fof(fact_2763,axiom,(+ chea(desintegrieren_1_1,desintegrierung_1_1) )).++fof(fact_2764,axiom,(+ chea(destabilisieren_1_1,destabilisation_1_1) )).++fof(fact_2765,axiom,(+ chea(destabilisieren_1_1,destabilisieren_2_1) )).++fof(fact_2766,axiom,(+ chea(destabilisieren_1_1,destabilisierung_1_1) )).++fof(fact_2767,axiom,(+ chea(deuten_1_3,hindeutung_1_1) )).++fof(fact_2768,axiom,(+ chea(deuten_1_4,deutung_1_2) )).++fof(fact_2769,axiom,(+ chea(dezentralisieren_1_1,dezentralisation_1_1) )).++fof(fact_2770,axiom,(+ chea(dezentralisieren_1_1,dezentralisierung_1_1) )).++fof(fact_2771,axiom,(+ chea(dezentralisieren_1_1,entkernen_2_1) )).++fof(fact_2772,axiom,(+ chea(dezentralisieren_1_1,entkernung_1_1) )).++fof(fact_2773,axiom,(+ chea(dezentralisieren_1_1,entsteinung_1_1) )).++fof(fact_2774,axiom,(+ chea(dezimieren_1_1,dezimierung_1_1) )).++fof(fact_2775,axiom,(+ chea(dezimieren_1_2,dezimierung_1_2) )).++fof(fact_2776,axiom,(+ chea(diagnostizieren_1_1,diagnostizieren_2_1) )).++fof(fact_2777,axiom,(+ chea(diagnostizieren_1_1,diagnostizierung_1_1) )).++fof(fact_2778,axiom,(+ chea(dichten_1_1,dichten_2_1) )).++fof(fact_2779,axiom,(+ chea(dichtmachen_1_1,dichtmachen_2_1) )).++fof(fact_2780,axiom,(+ chea(diffamieren_1_1,diffamierung_1_1) )).++fof(fact_2781,axiom,(+ chea(differenzieren_1_1,differenzieren_2_1) )).++fof(fact_2782,axiom,(+ chea(differenzieren_1_1,differenzierung_1_1) )).++fof(fact_2783,axiom,(+ chea(digitalisieren_1_1,digitalisieren_2_1) )).++fof(fact_2784,axiom,(+ chea(digitalisieren_1_1,digitalisierung_1_1) )).++fof(fact_2785,axiom,(+ chea(diktieren_1_1,diktieren_2_1) )).++fof(fact_2786,axiom,(+ chea(dimensionieren_1_1,dimensionierung_1_1) )).++fof(fact_2787,axiom,(+ chea(dingen_1_1,dingen_2_1) )).++fof(fact_2788,axiom,(+ chea(dirigieren_1_1,dirigieren_2_1) )).++fof(fact_2789,axiom,(+ chea(dirigieren_1_1,dirigierung_1_1) )).++fof(fact_2790,axiom,(+ chea(dirigieren_1_1,lotsen_2_1) )).++fof(fact_2791,axiom,(+ chea(dirigieren_1_1,lotsung_1_1) )).++fof(fact_2792,axiom,(+ chea(diskontieren_1_1,diskontieren_2_1) )).++fof(fact_2793,axiom,(+ chea(diskontieren_1_1,diskontierung_1_1) )).++fof(fact_2794,axiom,(+ chea(diskreditieren_1_1,abwertung_1_1) )).++fof(fact_2795,axiom,(+ chea(dislozieren_1_1,dislozieren_2_1) )).++fof(fact_2796,axiom,(+ chea(dislozieren_1_1,dislozierung_1_1) )).++fof(fact_2797,axiom,(+ chea(disponieren_1_1,disponieren_2_1) )).++fof(fact_2798,axiom,(+ chea(disponieren_1_1,disponierung_1_1) )).++fof(fact_2799,axiom,(+ chea(disqualifizieren_1_1,disqualifizierung_1_1) )).++fof(fact_2800,axiom,(+ chea(dissertieren_1_1,arztt__344tigkeit_1_1) )).++fof(fact_2801,axiom,(+ chea(dissimilieren_1_1,dissimilation_1_1) )).++fof(fact_2802,axiom,(+ chea(dissimulieren_1_1,dissimulation_1_1) )).++fof(fact_2803,axiom,(+ chea(distanzieren_1_1,distanzieren_2_1) )).++fof(fact_2804,axiom,(+ chea(distanzieren_1_1,distanzierung_1_1) )).++fof(fact_2805,axiom,(+ chea(disziplinieren_1_1,disziplinieren_2_1) )).++fof(fact_2806,axiom,(+ chea(disziplinieren_1_1,disziplinierung_1_1) )).++fof(fact_2807,axiom,(+ chea(disziplinieren_1_1,dressieren_2_1) )).++fof(fact_2808,axiom,(+ chea(diversifizieren_1_1,diversifizierung_1_1) )).++fof(fact_2809,axiom,(+ chea(dividieren_1_1,dividieren_2_1) )).++fof(fact_2810,axiom,(+ chea(dividieren_1_1,division_1_1) )).++fof(fact_2811,axiom,(+ chea(dividieren_1_1,teilung_1_1) )).++fof(fact_2812,axiom,(+ chea(docken_1_1,docken_2_1) )).++fof(fact_2813,axiom,(+ chea(dolmetschen_1_1,dolmetschen_2_1) )).++fof(fact_2814,axiom,(+ chea(dolmetschen_1_1,verdolmetschung_1_1) )).++fof(fact_2815,axiom,(+ chea(domestizieren_1_1,abrichtung_1_1) )).++fof(fact_2816,axiom,(+ chea(domestizieren_1_1,z__344hmen_2_1) )).++fof(fact_2817,axiom,(+ chea(domestizieren_1_1,z__344hmung_1_1) )).++fof(fact_2818,axiom,(+ chea(dopen_1_1,dopen_2_1) )).++fof(fact_2819,axiom,(+ chea(doppeln_1_1,doppeln_2_1) )).++fof(fact_2820,axiom,(+ chea(doppeln_1_1,verdoppelung_1_1) )).++fof(fact_2821,axiom,(+ chea(dosieren_1_1,dosieren_2_1) )).++fof(fact_2822,axiom,(+ chea(dosieren_1_1,dosierung_1_1) )).++fof(fact_2823,axiom,(+ chea(dossieren_1_1,dossierung_1_1) )).++fof(fact_2824,axiom,(+ chea(dotieren_1_1,dotation_1_1) )).++fof(fact_2825,axiom,(+ chea(dotieren_1_1,dotieren_2_1) )).++fof(fact_2826,axiom,(+ chea(dotieren_1_1,dotierung_1_1) )).++fof(fact_2827,axiom,(+ chea(dotieren_1_1,verg__374tung_1_2) )).++fof(fact_2828,axiom,(+ chea(dragieren_1_1,dragieren_2_1) )).++fof(fact_2829,axiom,(+ chea(dragieren_1_1,dragierung_1_1) )).++fof(fact_2830,axiom,(+ chea(drainieren_1_1,drainierung_1_1) )).++fof(fact_2831,axiom,(+ chea(dramatisieren_1_1,dramatisieren_2_1) )).++fof(fact_2832,axiom,(+ chea(dramatisieren_1_1,dramatisierung_1_1) )).++fof(fact_2833,axiom,(+ chea(drangsalieren_1_1,drangsalierung_1_1) )).++fof(fact_2834,axiom,(+ chea(drangsalieren_1_1,maltr__344tieren_2_1) )).++fof(fact_2835,axiom,(+ chea(drapieren_1_1,drapieren_2_1) )).++fof(fact_2836,axiom,(+ chea(drapieren_1_1,drapierung_1_1) )).++fof(fact_2837,axiom,(+ chea(drauflegen_1_1,drauflegen_2_1) )).++fof(fact_2838,axiom,(+ chea(draufschlagen_1_1,draufschlagen_2_1) )).++fof(fact_2839,axiom,(+ chea(drehen_1_1,drehung_1_1) )).++fof(fact_2840,axiom,(+ chea(drehen_1_4,drehung_1_4) )).++fof(fact_2841,axiom,(+ chea(dreinreden_1_1,dreinreden_2_1) )).++fof(fact_2842,axiom,(+ chea(dreinschlagen_1_1,dreinschlagen_2_1) )).++fof(fact_2843,axiom,(+ chea(dreschen_1_1,dreschen_2_1) )).++fof(fact_2844,axiom,(+ chea(dribbeln_1_1,dribbeln_2_1) )).++fof(fact_2845,axiom,(+ chea(driften_1_1,driften_2_1) )).++fof(fact_2846,axiom,(+ chea(drillen_1_1,drillen_2_1) )).++fof(fact_2847,axiom,(+ chea(drillen_1_1,drillung_1_1) )).++fof(fact_2848,axiom,(+ chea(drosseln_1_1,drosselung_1_1) )).++fof(fact_2849,axiom,(+ chea(drosseln_1_1,dro__337lung_1_1) )).++fof(fact_2850,axiom,(+ chea(drosseln_1_2,drosselung_1_2) )).++fof(fact_2851,axiom,(+ chea(drosseln_1_2,dro__337lung_1_2) )).++fof(fact_2852,axiom,(+ chea(dr__344ngeln_1_1,dr__344ngeln_2_1) )).++fof(fact_2853,axiom,(+ chea(dr__366hnen_1_1,donner_1_1) )).++fof(fact_2854,axiom,(+ chea(dr__366hnen_1_1,dr__366hnung_1_1) )).++fof(fact_2855,axiom,(+ chea(dr__374cken_1_6,fixen_2_1) )).++fof(fact_2856,axiom,(+ chea(dualisieren_1_1,dualisierung_1_1) )).++fof(fact_2857,axiom,(+ chea(dualisieren_1_1,verdoppelung_1_2) )).++fof(fact_2858,axiom,(+ chea(ducken_1_1,ducken_2_1) )).++fof(fact_2859,axiom,(+ chea(dudeln_1_1,dudeln_2_1) )).++fof(fact_2860,axiom,(+ chea(duften_1_1,duften_2_1) )).++fof(fact_2861,axiom,(+ chea(dulden_1_1,dulden_2_1) )).++fof(fact_2862,axiom,(+ chea(dulden_1_1,duldung_1_1) )).++fof(fact_2863,axiom,(+ chea(dunkeln_1_1,dunkeln_2_1) )).++fof(fact_2864,axiom,(+ chea(duplizieren_1_1,duplizieren_2_1) )).++fof(fact_2865,axiom,(+ chea(duplizieren_1_1,duplizierung_1_1) )).++fof(fact_2866,axiom,(+ chea(duplizieren_1_1,klonen_2_1) )).++fof(fact_2867,axiom,(+ chea(duplizieren_1_1,klonieren_2_1) )).++fof(fact_2868,axiom,(+ chea(duplizieren_1_1,klonierung_1_1) )).++fof(fact_2869,axiom,(+ chea(duplizieren_1_1,klonung_1_1) )).++fof(fact_2870,axiom,(+ chea(durchatmen_1_1,durchatmen_2_1) )).++fof(fact_2871,axiom,(+ chea(durchbiegen_1_1,durchbiegen_2_1) )).++fof(fact_2872,axiom,(+ chea(durchbiegen_1_1,durchbiegung_1_1) )).++fof(fact_2873,axiom,(+ chea(durchblicken_1_2,kapieren_2_1) )).++fof(fact_2874,axiom,(+ chea(durchboxen_1_1,durchboxen_2_1) )).++fof(fact_2875,axiom,(+ chea(durchbrennen_1_1,durchbrennen_2_1) )).++fof(fact_2876,axiom,(+ chea(durchfahren_1_1,durch_fahrt_1_1) )).++fof(fact_2877,axiom,(+ chea(durchfaulen_1_1,durchfaulung_1_1) )).++fof(fact_2878,axiom,(+ chea(durchfeuchten_1_1,durchfeuchtung_1_1) )).++fof(fact_2879,axiom,(+ chea(durchforschen_1_1,durchforschen_2_1) )).++fof(fact_2880,axiom,(+ chea(durchforschen_1_1,durchforschung_1_1) )).++fof(fact_2881,axiom,(+ chea(durchforsten_1_1,durchforsten_2_1) )).++fof(fact_2882,axiom,(+ chea(durchforsten_1_1,durchforstung_1_1) )).++fof(fact_2883,axiom,(+ chea(durchforsten_1_1,durchk__344mmung_1_1) )).++fof(fact_2884,axiom,(+ chea(durchf__374hren_1_1,durchf__374hren_2_1) )).++fof(fact_2885,axiom,(+ chea(durchf__374hren_1_1,durchf__374hrung_1_1) )).++fof(fact_2886,axiom,(+ chea(durchgeben_1_1,n374berweisen_2_1) )).++fof(fact_2887,axiom,(+ chea(durchgeben_1_1,n374berweisung_1_1) )).++fof(fact_2888,axiom,(+ chea(durchgehen_1_1,durchsehen_2_1) )).++fof(fact_2889,axiom,(+ chea(durchk__344mpfen_1_1,durchk__344mpfen_2_1) )).++fof(fact_2890,axiom,(+ chea(durchlesen_1_1,durchlesen_2_1) )).++fof(fact_2891,axiom,(+ chea(durchleuchten_1_1,durchleuchtung_1_1) )).++fof(fact_2892,axiom,(+ chea(durchlochen_1_1,durchlochung_1_1) )).++fof(fact_2893,axiom,(+ chea(durchl__366chern_1_1,perforation_1_1) )).++fof(fact_2894,axiom,(+ chea(durchl__366chern_1_1,perforieren_2_1) )).++fof(fact_2895,axiom,(+ chea(durchl__366chern_1_1,perforierung_1_1) )).++fof(fact_2896,axiom,(+ chea(durchmischen_1_1,diffusion_1_1) )).++fof(fact_2897,axiom,(+ chea(durchmischen_1_1,durchmischen_2_1) )).++fof(fact_2898,axiom,(+ chea(durchorganisieren_1_1,durchorganisation_1_1) )).++fof(fact_2899,axiom,(+ chea(durchorganisieren_1_1,durchorganisierung_1_1) )).++fof(fact_2900,axiom,(+ chea(durchpr__374geln_1_1,verpr__374geln_2_1) )).++fof(fact_2901,axiom,(+ chea(durchqueren_1_1,durchqueren_2_1) )).++fof(fact_2902,axiom,(+ chea(durchqueren_1_1,durchquerung_1_1) )).++fof(fact_2903,axiom,(+ chea(durchrechnen_1_1,durchrechnen_2_1) )).++fof(fact_2904,axiom,(+ chea(durchrechnen_1_1,durchrechnung_1_1) )).++fof(fact_2905,axiom,(+ chea(durchreichen_1_1,durchreichen_2_1) )).++fof(fact_2906,axiom,(+ chea(durchrei__337en_1_1,durchrei__337en_2_1) )).++fof(fact_2907,axiom,(+ chea(durchrei__337en_1_1,losrei__337en_2_1) )).++fof(fact_2908,axiom,(+ chea(durchrosten_1_1,durchrosten_2_1) )).++fof(fact_2909,axiom,(+ chea(durchrosten_1_1,durchrostung_1_1) )).++fof(fact_2910,axiom,(+ chea(durchsagen_1_1,durchsagen_2_1) )).++fof(fact_2911,axiom,(+ chea(durchschl__374pfen_1_1,durchschl__374pfen_2_1) )).++fof(fact_2912,axiom,(+ chea(durchsetzen_1_1,durchsetzung_1_1) )).++fof(fact_2913,axiom,(+ chea(durchsetzen_2_1,durchsetzung_1_2) )).++fof(fact_2914,axiom,(+ chea(durchsetzen_2_1,infiltration_1_1) )).++fof(fact_2915,axiom,(+ chea(durchsetzen_2_1,infiltrieren_2_1) )).++fof(fact_2916,axiom,(+ chea(durchsetzen_2_1,infiltrierung_1_1) )).++fof(fact_2917,axiom,(+ chea(durchseuchen_1_1,durchseuchung_1_1) )).++fof(fact_2918,axiom,(+ chea(durchspielen_1_1,durchspielen_2_1) )).++fof(fact_2919,axiom,(+ chea(durchspielen_1_1,proben_2_1) )).++fof(fact_2920,axiom,(+ chea(durchstreifen_1_1,durchstreifen_2_1) )).++fof(fact_2921,axiom,(+ chea(durchsuchen_1_1,durchsuchung_1_1) )).++fof(fact_2922,axiom,(+ chea(durchtanzen_1_1,durchtanzen_2_1) )).++fof(fact_2923,axiom,(+ chea(durchtreten_1_1,durchtreten_2_1) )).++fof(fact_2924,axiom,(+ chea(durchtr__344nken_1_1,durchtr__344nken_2_1) )).++fof(fact_2925,axiom,(+ chea(durchtr__344nken_1_1,durchtr__344nkung_1_1) )).++fof(fact_2926,axiom,(+ chea(duschen_1_1,duschen_2_1) )).++fof(fact_2927,axiom,(+ chea(dynamisieren_1_1,dynamisierung_1_1) )).++fof(fact_2928,axiom,(+ chea(d__344mmen_1_1,d__344mmen_2_1) )).++fof(fact_2929,axiom,(+ chea(d__344mmen_1_1,d__344mmung_1_1) )).++fof(fact_2930,axiom,(+ chea(d__344mmern_1_1,d__344mmerung_1_1) )).++fof(fact_2931,axiom,(+ chea(d__344mmern_1_2,d__344mmerung_1_2) )).++fof(fact_2932,axiom,(+ chea(d__344monisieren_1_1,d__344monisierung_1_1) )).++fof(fact_2933,axiom,(+ chea(d__344monisieren_1_1,verteufeln_2_1) )).++fof(fact_2934,axiom,(+ chea(d__344monisieren_1_1,verteufelung_1_1) )).++fof(fact_2935,axiom,(+ chea(d__366rren_1_1,d__366rren_2_1) )).++fof(fact_2936,axiom,(+ chea(d__366sen_1_1,d__366sen_2_1) )).++fof(fact_2937,axiom,(+ chea(d__374ngen_1_1,d__374ngen_2_1) )).++fof(fact_2938,axiom,(+ chea(d__374ngen_1_1,d__374ngung_1_1) )).++fof(fact_2939,axiom,(+ chea(d__374nken_1_1,d__374nken_2_1) )).++fof(fact_2940,axiom,(+ chea(d__374nsten_1_1,d__374nsten_2_1) )).++fof(fact_2941,axiom,(+ chea(d__374pieren_1_1,d__374pierung_1_1) )).++fof(fact_2942,axiom,(+ chea(d__374rfen_1_1,d__374rfen_2_1) )).++fof(fact_2943,axiom,(+ chea(d__374rsten_1_1,d__374rsten_2_1) )).++fof(fact_2944,axiom,(+ chea(ebben_1_1,ebben_2_1) )).++fof(fact_2945,axiom,(+ chea(ebnen_1_1,ebnen_2_1) )).++fof(fact_2946,axiom,(+ chea(ebnen_1_1,ebnung_1_1) )).++fof(fact_2947,axiom,(+ chea(ecken_1_1,ecken_2_1) )).++fof(fact_2948,axiom,(+ chea(editieren_1_1,editieren_2_1) )).++fof(fact_2949,axiom,(+ chea(editieren_1_1,editierung_1_1) )).++fof(fact_2950,axiom,(+ chea(effektivieren_1_1,effektivierung_1_1) )).++fof(fact_2951,axiom,(+ chea(egalisieren_1_1,egalisieren_2_1) )).++fof(fact_2952,axiom,(+ chea(egalisieren_1_1,egalisierung_1_1) )).++fof(fact_2953,axiom,(+ chea(eggen_1_1,eggen_2_1) )).++fof(fact_2954,axiom,(+ chea(ehelichen_1_1,ehelichung_1_1) )).++fof(fact_2955,axiom,(+ chea(ehelichen_1_1,heiraten_2_1) )).++fof(fact_2956,axiom,(+ chea(ehren_1_1,ehrung_1_1) )).++fof(fact_2957,axiom,(+ chea(eichen_1_1,eichen_2_1) )).++fof(fact_2958,axiom,(+ chea(eichen_1_1,eichung_1_1) )).++fof(fact_2959,axiom,(+ chea(einarbeiten_1_1,einarbeitung_1_1) )).++fof(fact_2960,axiom,(+ chea(einatmen_1_1,einatmen_2_1) )).++fof(fact_2961,axiom,(+ chea(einatmen_1_1,einatmung_1_1) )).++fof(fact_2962,axiom,(+ chea(einatmen_1_1,inhalation_1_1) )).++fof(fact_2963,axiom,(+ chea(einatmen_1_1,inhalieren_2_1) )).++fof(fact_2964,axiom,(+ chea(einatmen_1_1,inhalierung_1_1) )).++fof(fact_2965,axiom,(+ chea(einbalsamieren_1_1,einbalsamieren_2_1) )).++fof(fact_2966,axiom,(+ chea(einbalsamieren_1_1,einbalsamierung_1_1) )).++fof(fact_2967,axiom,(+ chea(einbauen_1_1,einbau__1_1) )).++fof(fact_2968,axiom,(+ chea(einbehalten_1_1,einbehalten_2_1) )).++fof(fact_2969,axiom,(+ chea(einbehalten_1_1,einbehaltung_1_1) )).++fof(fact_2970,axiom,(+ chea(einberechnen_1_1,einberechnung_1_1) )).++fof(fact_2971,axiom,(+ chea(einberufen_1_1,einberufen_2_1) )).++fof(fact_2972,axiom,(+ chea(einberufen_1_1,einberufung_1_1) )).++fof(fact_2973,axiom,(+ chea(einberufen_1_1,einberufung_1_2) )).++fof(fact_2974,axiom,(+ chea(einbeschreiben_1_1,einbeschreibung_1_1) )).++fof(fact_2975,axiom,(+ chea(einbestellen_1_1,einbestellung_1_1) )).++fof(fact_2976,axiom,(+ chea(einbetonieren_1_1,einbetonieren_2_1) )).++fof(fact_2977,axiom,(+ chea(einbetten_1_1,einbetten_2_1) )).++fof(fact_2978,axiom,(+ chea(einbetten_1_1,einbettung_1_1) )).++fof(fact_2979,axiom,(+ chea(einbeziehen_1_1,einbeziehung_1_1) )).++fof(fact_2980,axiom,(+ chea(einbilden_1_1,einbildung_1_1) )).++fof(fact_2981,axiom,(+ chea(einbilden_1_1,einbildung_1_2) )).++fof(fact_2982,axiom,(+ chea(einbimsen_1_1,einbleuen_2_1) )).++fof(fact_2983,axiom,(+ chea(einbinden_1_2,einbindung_1_1) )).++fof(fact_2984,axiom,(+ chea(einblasen_1_1,einblasen_2_1) )).++fof(fact_2985,axiom,(+ chea(einblasen_1_1,einblasung_1_1) )).++fof(fact_2986,axiom,(+ chea(einblenden_1_1,einblenden_2_1) )).++fof(fact_2987,axiom,(+ chea(einbohren_1_1,einbohren_2_1) )).++fof(fact_2988,axiom,(+ chea(einbrennen_1_1,einbrennen_2_1) )).++fof(fact_2989,axiom,(+ chea(einbringen_1_1,einbringung_1_1) )).++fof(fact_2990,axiom,(+ chea(einbringen_1_2,einbringung_1_2) )).++fof(fact_2991,axiom,(+ chea(einbuchten_1_1,einbuchtung_1_1) )).++fof(fact_2992,axiom,(+ chea(einbuchten_1_1,einlochen_2_1) )).++fof(fact_2993,axiom,(+ chea(einb__374__337en_1_1,einb__374__337en_2_1) )).++fof(fact_2994,axiom,(+ chea(eindampfen_1_1,eindampfen_2_1) )).++fof(fact_2995,axiom,(+ chea(eindampfen_1_1,eindampfung_1_1) )).++fof(fact_2996,axiom,(+ chea(eindecken_1_1,eindecken_2_1) )).++fof(fact_2997,axiom,(+ chea(eindeichen_1_1,eindeichung_1_1) )).++fof(fact_2998,axiom,(+ chea(eindellen_1_1,eindellung_1_1) )).++fof(fact_2999,axiom,(+ chea(eindreschen_1_1,eindreschen_2_1) )).++fof(fact_3000,axiom,(+ chea(eindrillen_1_1,eindrillen_2_1) )).++fof(fact_3001,axiom,(+ chea(eindringen_1_1,eindringen_2_1) )).++fof(fact_3002,axiom,(+ chea(eindringen_1_1,eindringung_1_1) )).++fof(fact_3003,axiom,(+ chea(eindr__374cken_1_1,eindr__374cken_2_1) )).++fof(fact_3004,axiom,(+ chea(eind__344mmen_1_1,eind__344mmen_2_1) )).++fof(fact_3005,axiom,(+ chea(eind__344mmen_1_1,eind__344mmung_1_1) )).++fof(fact_3006,axiom,(+ chea(einen_1_1,einen_2_1) )).++fof(fact_3007,axiom,(+ chea(einen_1_1,einung_1_1) )).++fof(fact_3008,axiom,(+ chea(einengen_1_1,abgrenzung_1_1) )).++fof(fact_3009,axiom,(+ chea(einengen_1_1,einengung_1_1) )).++fof(fact_3010,axiom,(+ chea(einfassen_1_1,einfassen_2_1) )).++fof(fact_3011,axiom,(+ chea(einfassen_1_1,einfassung_1_1) )).++fof(fact_3012,axiom,(+ chea(einfassen_1_1,einrahmen_1_2) )).++fof(fact_3013,axiom,(+ chea(einfassen_1_1,einrahmung_1_1) )).++fof(fact_3014,axiom,(+ chea(einfassen_1_1,rahmung_1_1) )).++fof(fact_3015,axiom,(+ chea(einfetten_1_1,einfetten_2_1) )).++fof(fact_3016,axiom,(+ chea(einfetten_1_1,einfettung_1_1) )).++fof(fact_3017,axiom,(+ chea(einfinden_1_1,einfinden_2_1) )).++fof(fact_3018,axiom,(+ chea(einfinden_1_1,einfindung_1_1) )).++fof(fact_3019,axiom,(+ chea(einflechten_1_1,einflechten_2_1) )).++fof(fact_3020,axiom,(+ chea(einflechten_1_1,einflechtung_1_1) )).++fof(fact_3021,axiom,(+ chea(einflie__337en_1_1,einflie__337en_2_1) )).++fof(fact_3022,axiom,(+ chea(einfl__366__337en_1_1,einfl__366__337en_2_1) )).++fof(fact_3023,axiom,(+ chea(einfordern_1_1,forderung_1_1) )).++fof(fact_3024,axiom,(+ chea(einfrieden_1_1,einfriedung_1_1) )).++fof(fact_3025,axiom,(+ chea(einfrieden_1_1,einz__344unung_1_1) )).++fof(fact_3026,axiom,(+ chea(einfrieden_1_1,umfriedigung_1_1) )).++fof(fact_3027,axiom,(+ chea(einf__374gen_1_1,einf__374gung_1_1) )).++fof(fact_3028,axiom,(+ chea(einf__374gen_1_2,einf__374gung_1_2) )).++fof(fact_3029,axiom,(+ chea(einf__374hlen_1_1,einf__374hlen_2_1) )).++fof(fact_3030,axiom,(+ chea(einf__374hlen_1_1,einf__374hlung_1_1) )).++fof(fact_3031,axiom,(+ chea(einf__374hren_1_1,einfuhr__1_1) )).++fof(fact_3032,axiom,(+ chea(einf__374hren_1_1,einf__374hrung_1_2) )).++fof(fact_3033,axiom,(+ chea(einf__374hren_1_1,importieren_2_1) )).++fof(fact_3034,axiom,(+ chea(einf__374hren_1_1,importierung_1_1) )).++fof(fact_3035,axiom,(+ chea(einf__374hren_1_2,einf__374hrung_1_3) )).++fof(fact_3036,axiom,(+ chea(einf__374llen_1_1,einf__374llen_2_1) )).++fof(fact_3037,axiom,(+ chea(einf__374llen_1_1,einf__374llung_1_1) )).++fof(fact_3038,axiom,(+ chea(eingeben_1_1,eingabe_1_1) )).++fof(fact_3039,axiom,(+ chea(eingeben_1_1,eingeben_2_1) )).++fof(fact_3040,axiom,(+ chea(eingeben_1_1,eingebung_1_1) )).++fof(fact_3041,axiom,(+ chea(eingehen_1_5,einlassung_1_1) )).++fof(fact_3042,axiom,(+ chea(eingestehen_1_1,eingestehen_2_1) )).++fof(fact_3043,axiom,(+ chea(eingew__366hnen_1_1,akklimatisation_1_1) )).++fof(fact_3044,axiom,(+ chea(eingew__366hnen_1_1,eingew__366hnen_2_1) )).++fof(fact_3045,axiom,(+ chea(eingew__366hnen_1_1,einleben_2_1) )).++fof(fact_3046,axiom,(+ chea(eingipsen_1_1,eingipsen_2_1) )).++fof(fact_3047,axiom,(+ chea(eingleisen_1_1,eingleisen_2_1) )).++fof(fact_3048,axiom,(+ chea(eingleisen_1_1,eingleisung_1_1) )).++fof(fact_3049,axiom,(+ chea(eingliedern_1_1,einbeziehung_1_1) )).++fof(fact_3050,axiom,(+ chea(eingliedern_1_1,einordnung_1_3) )).++fof(fact_3051,axiom,(+ chea(eingraben_1_1,eingrabung_1_1) )).++fof(fact_3052,axiom,(+ chea(eingraben_1_1,verbuddeln_2_1) )).++fof(fact_3053,axiom,(+ chea(eingravieren_1_1,eingravieren_2_1) )).++fof(fact_3054,axiom,(+ chea(eingravieren_1_1,eingravierung_1_1) )).++fof(fact_3055,axiom,(+ chea(eingravieren_1_1,einmei__337eln_2_1) )).++fof(fact_3056,axiom,(+ chea(eingravieren_1_1,mei__337eln_2_1) )).++fof(fact_3057,axiom,(+ chea(eingreifen_1_1,eingreifen_2_1) )).++fof(fact_3058,axiom,(+ chea(eingruppieren_1_1,eingruppierung_1_1) )).++fof(fact_3059,axiom,(+ chea(einhacken_1_1,einhacken_2_1) )).++fof(fact_3060,axiom,(+ chea(einhalten_1_1,einhalten_2_1) )).++fof(fact_3061,axiom,(+ chea(einhalten_1_1,einhaltung_1_1) )).++fof(fact_3062,axiom,(+ chea(einhauen_1_1,einhauen_2_1) )).++fof(fact_3063,axiom,(+ chea(einheben_1_1,einheben_2_1) )).++fof(fact_3064,axiom,(+ chea(einheben_1_1,einhebung_1_1) )).++fof(fact_3065,axiom,(+ chea(einheiraten_1_1,einheiratung_1_1) )).++fof(fact_3066,axiom,(+ chea(einheizen_1_1,einheizen_2_1) )).++fof(fact_3067,axiom,(+ chea(einhergehen_1_1,einhergehen_2_1) )).++fof(fact_3068,axiom,(+ chea(einholen_1_1,einholung_1_1) )).++fof(fact_3069,axiom,(+ chea(einh__344ngen_1_1,einh__344ngen_2_1) )).++fof(fact_3070,axiom,(+ chea(einh__344ngen_1_1,einh__344ngung_1_1) )).++fof(fact_3071,axiom,(+ chea(einh__374llen_1_1,einh__374llen_2_1) )).++fof(fact_3072,axiom,(+ chea(einh__374llen_1_1,einh__374llung_1_1) )).++fof(fact_3073,axiom,(+ chea(einigen_1_1,einigung_1_1) )).++fof(fact_3074,axiom,(+ chea(einimpfen_1_1,einimpfung_1_1) )).++fof(fact_3075,axiom,(+ chea(einimpfen_1_1,suggerieren_2_1) )).++fof(fact_3076,axiom,(+ chea(einimpfen_1_1,suggerierung_1_1) )).++fof(fact_3077,axiom,(+ chea(einkapseln_1_1,einkapseln_2_1) )).++fof(fact_3078,axiom,(+ chea(einkassieren_1_1,einkassieren_2_1) )).++fof(fact_3079,axiom,(+ chea(einkassieren_1_1,einkassierung_1_1) )).++fof(fact_3080,axiom,(+ chea(einkaufen_1_1,einkaufen_2_1) )).++fof(fact_3081,axiom,(+ chea(einkeilen_1_1,keilen_2_1) )).++fof(fact_3082,axiom,(+ chea(einkerben_1_1,einkerben_2_1) )).++fof(fact_3083,axiom,(+ chea(einkerben_1_1,einkerbung_1_1) )).++fof(fact_3084,axiom,(+ chea(einkerben_1_1,kerben_2_1) )).++fof(fact_3085,axiom,(+ chea(einkerben_1_1,kerbung_1_1) )).++fof(fact_3086,axiom,(+ chea(einkesseln_1_1,einkesseln_2_1) )).++fof(fact_3087,axiom,(+ chea(einkesseln_1_1,einkreisen_2_1) )).++fof(fact_3088,axiom,(+ chea(einkesseln_1_1,einkreisung_1_1) )).++fof(fact_3089,axiom,(+ chea(einkesseln_1_1,umkreisung_1_1) )).++fof(fact_3090,axiom,(+ chea(einkesseln_1_1,umzingelung_1_1) )).++fof(fact_3091,axiom,(+ chea(einklagen_1_1,einklagen_2_1) )).++fof(fact_3092,axiom,(+ chea(einkleben_1_1,einkleben_2_1) )).++fof(fact_3093,axiom,(+ chea(einklinken_1_1,einklinken_2_1) )).++fof(fact_3094,axiom,(+ chea(einknicken_1_1,einknicken_2_1) )).++fof(fact_3095,axiom,(+ chea(einknicken_1_1,einknickung_1_1) )).++fof(fact_3096,axiom,(+ chea(einkochen_1_1,einkochen_2_1) )).++fof(fact_3097,axiom,(+ chea(einkochen_1_1,einwecken_2_1) )).++fof(fact_3098,axiom,(+ chea(einkommen_2_1,einkommen__1_1) )).++fof(fact_3099,axiom,(+ chea(einkreuzen_1_1,einkreuzen_2_1) )).++fof(fact_3100,axiom,(+ chea(eink__366pfen_1_1,eink__366pfen_2_1) )).++fof(fact_3101,axiom,(+ chea(einladen_1_1,verladung_1_1) )).++fof(fact_3102,axiom,(+ chea(einlagern_1_1,einlagerung_1_1) )).++fof(fact_3103,axiom,(+ chea(einlagern_1_2,einlagerung_1_2) )).++fof(fact_3104,axiom,(+ chea(einlassen_1_2,einlassung_1_1) )).++fof(fact_3105,axiom,(+ chea(einlegen_1_2,einlegung_1_1) )).++fof(fact_3106,axiom,(+ chea(einlegen_1_3,einlegung_1_3) )).++fof(fact_3107,axiom,(+ chea(einlenken_1_1,einlenken_2_1) )).++fof(fact_3108,axiom,(+ chea(einlernen_1_1,einlernen_2_1) )).++fof(fact_3109,axiom,(+ chea(einleuchten_1_1,einleuchten_2_1) )).++fof(fact_3110,axiom,(+ chea(einliefern_1_1,einlieferung_1_1) )).++fof(fact_3111,axiom,(+ chea(einlullen_1_1,einlullen_2_1) )).++fof(fact_3112,axiom,(+ chea(einl__344uten_1_1,einl__344uten_2_1) )).++fof(fact_3113,axiom,(+ chea(einl__344uten_1_1,einl__344utung_1_1) )).++fof(fact_3114,axiom,(+ chea(einl__366sen_1_1,einl__366sen_2_1) )).++fof(fact_3115,axiom,(+ chea(einl__366sen_1_1,einl__366sung_1_1) )).++fof(fact_3116,axiom,(+ chea(einl__366sen_1_1,einzahlen_2_1) )).++fof(fact_3117,axiom,(+ chea(einl__366sen_1_1,einzahlung_1_1) )).++fof(fact_3118,axiom,(+ chea(einmachen_1_1,einmachen_2_1) )).++fof(fact_3119,axiom,(+ chea(einmarschieren_1_1,einmarsch_1_1) )).++fof(fact_3120,axiom,(+ chea(einmassieren_1_1,einmassieren_2_1) )).++fof(fact_3121,axiom,(+ chea(einmieten_1_1,einmieten_2_1) )).++fof(fact_3122,axiom,(+ chea(einmieten_1_1,einmietung_1_1) )).++fof(fact_3123,axiom,(+ chea(einmischen_1_1,einmischen_2_1) )).++fof(fact_3124,axiom,(+ chea(einmischen_1_1,einmischung_1_1) )).++fof(fact_3125,axiom,(+ chea(einmischen_1_1,mitmischen_2_1) )).++fof(fact_3126,axiom,(+ chea(einm__374nden_1_1,einm__374nden_2_1) )).++fof(fact_3127,axiom,(+ chea(einm__374nden_1_1,einm__374ndung_1_1) )).++fof(fact_3128,axiom,(+ chea(einnebeln_1_1,einnebeln_2_1) )).++fof(fact_3129,axiom,(+ chea(einnicken_1_1,einnicken_2_1) )).++fof(fact_3130,axiom,(+ chea(einnisten_1_1,einnisten_2_1) )).++fof(fact_3131,axiom,(+ chea(einnisten_1_1,einnistung_1_1) )).++fof(fact_3132,axiom,(+ chea(einn__344hen_1_1,einn__344hen_2_1) )).++fof(fact_3133,axiom,(+ chea(einordnen_1_1,einordnung_1_2) )).++fof(fact_3134,axiom,(+ chea(einordnen_1_2,anordnung_1_2) )).++fof(fact_3135,axiom,(+ chea(einordnen_1_4,einordnung_1_4) )).++fof(fact_3136,axiom,(+ chea(einpacken_1_1,einpacken_2_1) )).++fof(fact_3137,axiom,(+ chea(einpacken_1_1,einpackung_1_1) )).++fof(fact_3138,axiom,(+ chea(einpacken_1_1,einwickeln_2_1) )).++fof(fact_3139,axiom,(+ chea(einpacken_1_1,umh__374llung_1_1) )).++fof(fact_3140,axiom,(+ chea(einpacken_1_1,verpacken_2_1) )).++fof(fact_3141,axiom,(+ chea(einparken_1_1,einparken_2_1) )).++fof(fact_3142,axiom,(+ chea(einpassen_1_1,einpassen_2_1) )).++fof(fact_3143,axiom,(+ chea(einpassen_1_1,einpassung_1_1) )).++fof(fact_3144,axiom,(+ chea(einpendeln_1_1,einpendeln_2_1) )).++fof(fact_3145,axiom,(+ chea(einpendeln_1_1,einschwingen_2_1) )).++fof(fact_3146,axiom,(+ chea(einpflanzen_1_1,einpflanzen_2_1) )).++fof(fact_3147,axiom,(+ chea(einpflanzen_1_1,einpflanzung_1_1) )).++fof(fact_3148,axiom,(+ chea(einpinseln_1_1,einpinseln_2_1) )).++fof(fact_3149,axiom,(+ chea(einplanen_1_1,einplanen_2_1) )).++fof(fact_3150,axiom,(+ chea(einplanen_1_1,einplanung_1_1) )).++fof(fact_3151,axiom,(+ chea(einpressen_1_1,einpressen_2_1) )).++fof(fact_3152,axiom,(+ chea(einpressen_1_1,einpressung_1_1) )).++fof(fact_3153,axiom,(+ chea(einquartieren_1_1,einquartierung_1_1) )).++fof(fact_3154,axiom,(+ chea(einquartieren_1_2,einquartierung_1_2) )).++fof(fact_3155,axiom,(+ chea(einrammen_1_1,einrammen_2_1) )).++fof(fact_3156,axiom,(+ chea(einrangieren_1_1,einrangierung_1_1) )).++fof(fact_3157,axiom,(+ chea(einrechnen_1_1,einrechnen_2_1) )).++fof(fact_3158,axiom,(+ chea(einregulieren_1_1,einregulierung_1_1) )).++fof(fact_3159,axiom,(+ chea(einreiben_1_1,einreiben_2_1) )).++fof(fact_3160,axiom,(+ chea(einreiben_1_1,einreibung_1_1) )).++fof(fact_3161,axiom,(+ chea(einreichen_1_1,einreichen_2_1) )).++fof(fact_3162,axiom,(+ chea(einreichen_1_1,einreichung_1_1) )).++fof(fact_3163,axiom,(+ chea(einreichen_1_1,vorlegen_2_1) )).++fof(fact_3164,axiom,(+ chea(einreichen_1_1,vorlegung_1_1) )).++fof(fact_3165,axiom,(+ chea(einreihen_1_1,einreihung_1_1) )).++fof(fact_3166,axiom,(+ chea(einreisen_1_1,einreise__1_1) )).++fof(fact_3167,axiom,(+ chea(einrenken_1_1,einrenken_2_1) )).++fof(fact_3168,axiom,(+ chea(einrenken_1_1,einrenkung_1_1) )).++fof(fact_3169,axiom,(+ chea(einrichten_1_1,einrichtung_1_4) )).++fof(fact_3170,axiom,(+ chea(einrichten_2_1,einrichtung_1_3) )).++fof(fact_3171,axiom,(+ chea(einritzen_1_1,einritzen_2_1) )).++fof(fact_3172,axiom,(+ chea(einritzen_1_1,einritzung_1_1) )).++fof(fact_3173,axiom,(+ chea(einritzen_1_1,zerschneiden_2_1) )).++fof(fact_3174,axiom,(+ chea(einritzen_1_1,zerschneidung_1_1) )).++fof(fact_3175,axiom,(+ chea(einrollen_1_1,einrollen_2_1) )).++fof(fact_3176,axiom,(+ chea(einrollen_1_1,einrollung_1_1) )).++fof(fact_3177,axiom,(+ chea(einrosten_1_1,einrosten_2_1) )).++fof(fact_3178,axiom,(+ chea(einrosten_1_1,rosten_2_1) )).++fof(fact_3179,axiom,(+ chea(einrosten_1_1,verrosten_2_1) )).++fof(fact_3180,axiom,(+ chea(einrosten_1_1,verrostung_1_1) )).++fof(fact_3181,axiom,(+ chea(einr__374cken_1_1,einr__374ckung_1_1) )).++fof(fact_3182,axiom,(+ chea(einr__374cken_1_1,einr__374ckung_1_2) )).++fof(fact_3183,axiom,(+ chea(einr__374sten_1_1,einr__374sten_2_1) )).++fof(fact_3184,axiom,(+ chea(einr__374sten_1_1,einr__374stung_1_1) )).++fof(fact_3185,axiom,(+ chea(einsalzen_1_1,einsalzen_2_1) )).++fof(fact_3186,axiom,(+ chea(einsalzen_1_1,einsalzung_1_1) )).++fof(fact_3187,axiom,(+ chea(einsammeln_1_1,einsammeln_2_1) )).++fof(fact_3188,axiom,(+ chea(einsargen_1_1,einsargen_2_1) )).++fof(fact_3189,axiom,(+ chea(einsargen_1_1,einsargung_1_1) )).++fof(fact_3190,axiom,(+ chea(einsaugen_1_1,einsaugen_2_1) )).++fof(fact_3191,axiom,(+ chea(einschenken_1_1,einschenken_2_1) )).++fof(fact_3192,axiom,(+ chea(einschicken_1_1,zuschicken_2_1) )).++fof(fact_3193,axiom,(+ chea(einschicken_1_1,zusenden_2_1) )).++fof(fact_3194,axiom,(+ chea(einschicken_1_1,zusendung_1_1) )).++fof(fact_3195,axiom,(+ chea(einschieben_1_1,einschieben_3_1) )).++fof(fact_3196,axiom,(+ chea(einschieben_1_1,einschiebung_1_1) )).++fof(fact_3197,axiom,(+ chea(einschie__337en_1_1,einschie__337en_2_1) )).++fof(fact_3198,axiom,(+ chea(einschiffen_1_1,einschiffen_2_1) )).++fof(fact_3199,axiom,(+ chea(einschiffen_1_1,einschiffung_1_1) )).++fof(fact_3200,axiom,(+ chea(einschlafen_1_1,einschlafen_2_1) )).++fof(fact_3201,axiom,(+ chea(einschlagen_2_1,einschlag_1_1) )).++fof(fact_3202,axiom,(+ chea(einschleppen_1_1,einschleppen_2_1) )).++fof(fact_3203,axiom,(+ chea(einschleppen_1_1,einschleppung_1_1) )).++fof(fact_3204,axiom,(+ chea(einschleusen_1_1,einschleusen_2_1) )).++fof(fact_3205,axiom,(+ chea(einschleusen_1_1,einschleusung_1_1) )).++fof(fact_3206,axiom,(+ chea(einschleusen_1_1,einschmuggeln_2_1) )).++fof(fact_3207,axiom,(+ chea(einschlie__337en_1_1,einschlie__337en_2_1) )).++fof(fact_3208,axiom,(+ chea(einschlie__337en_1_1,einschlie__337ung_1_1) )).++fof(fact_3209,axiom,(+ chea(einschmeicheln_1_1,einschmeicheln_2_1) )).++fof(fact_3210,axiom,(+ chea(einschmelzen_1_1,einschmelzen_2_1) )).++fof(fact_3211,axiom,(+ chea(einschmelzen_1_1,einschmelzung_1_1) )).++fof(fact_3212,axiom,(+ chea(einschmieren_1_1,einschmieren_2_1) )).++fof(fact_3213,axiom,(+ chea(einschneien_1_1,einschneien_2_1) )).++fof(fact_3214,axiom,(+ chea(einschneien_1_1,einschneiung_1_1) )).++fof(fact_3215,axiom,(+ chea(einschn__374ren_1_1,einschn__374rung_1_1) )).++fof(fact_3216,axiom,(+ chea(einschrauben_1_1,einschrauben_2_1) )).++fof(fact_3217,axiom,(+ chea(einschreiben_1_1,einschreiben_2_1) )).++fof(fact_3218,axiom,(+ chea(einschreiben_1_1,einschreibung_1_1) )).++fof(fact_3219,axiom,(+ chea(einschrumpfen_1_1,einschrumpfen_2_1) )).++fof(fact_3220,axiom,(+ chea(einschrumpfen_1_1,zusammenschrumpfen_2_1) )).++fof(fact_3221,axiom,(+ chea(einschr__344nken_1_1,begrenztheit_1_1) )).++fof(fact_3222,axiom,(+ chea(einschr__344nken_1_1,limitierung_1_1) )).++fof(fact_3223,axiom,(+ chea(einschulen_1_1,einschulung_1_1) )).++fof(fact_3224,axiom,(+ chea(einschwimmen_1_1,einschwimmen_2_1) )).++fof(fact_3225,axiom,(+ chea(einschw__344rzen_1_1,einschw__344rzung_1_1) )).++fof(fact_3226,axiom,(+ chea(einschw__366ren_1_1,einschw__366ren_2_1) )).++fof(fact_3227,axiom,(+ chea(einschw__366ren_1_1,einschw__366rung_1_1) )).++fof(fact_3228,axiom,(+ chea(einsch__344rfen_1_1,einsch__344rfung_1_1) )).++fof(fact_3229,axiom,(+ chea(einsch__344umen_1_1,einsch__344umen_2_1) )).++fof(fact_3230,axiom,(+ chea(einsch__374chtern_1_1,einsch__374chterung_1_1) )).++fof(fact_3231,axiom,(+ chea(einsegnen_1_1,einsegnung_1_1) )).++fof(fact_3232,axiom,(+ chea(einsegnen_1_1,segnung_1_1) )).++fof(fact_3233,axiom,(+ chea(einsehen_1_2,begehung_1_1) )).++fof(fact_3234,axiom,(+ chea(einsehen_1_2,beobachten_2_1) )).++fof(fact_3235,axiom,(+ chea(einsenden_1_1,einsenden_2_1) )).++fof(fact_3236,axiom,(+ chea(einsenden_1_1,einsendung_1_1) )).++fof(fact_3237,axiom,(+ chea(einsenken_1_1,einbuchtung_1_1) )).++fof(fact_3238,axiom,(+ chea(einsetzen_1_2,einsetzung_1_1) )).++fof(fact_3239,axiom,(+ chea(einsickern_1_1,einsickern_2_1) )).++fof(fact_3240,axiom,(+ chea(einsiedeln_1_1,einsiedeln_2_1) )).++fof(fact_3241,axiom,(+ chea(einsingen_1_1,einsingen_2_1) )).++fof(fact_3242,axiom,(+ chea(einsinken_1_1,einsinken_2_1) )).++fof(fact_3243,axiom,(+ chea(einsinken_1_1,versinken_2_1) )).++fof(fact_3244,axiom,(+ chea(einsortieren_1_1,einsortieren_2_1) )).++fof(fact_3245,axiom,(+ chea(einsortieren_1_1,einsortierung_1_1) )).++fof(fact_3246,axiom,(+ chea(einsparen_1_1,einsparen_2_1) )).++fof(fact_3247,axiom,(+ chea(einsparen_1_1,einsparung_1_1) )).++fof(fact_3248,axiom,(+ chea(einspeicheln_1_1,einspeicheln_2_1) )).++fof(fact_3249,axiom,(+ chea(einspeisen_1_1,einspeisen_2_1) )).++fof(fact_3250,axiom,(+ chea(einspeisen_1_1,einspeisung_1_1) )).++fof(fact_3251,axiom,(+ chea(einsperren_1_1,einsperren_2_1) )).++fof(fact_3252,axiom,(+ chea(einsperren_1_1,einsperrung_1_1) )).++fof(fact_3253,axiom,(+ chea(einspinnen_1_1,einspinnen_2_1) )).++fof(fact_3254,axiom,(+ chea(einsprechen_1_1,einsprechen_2_1) )).++fof(fact_3255,axiom,(+ chea(einsprengen_1_1,einsprengung_1_1) )).++fof(fact_3256,axiom,(+ chea(einspritzen_1_1,einspritzen_2_1) )).++fof(fact_3257,axiom,(+ chea(einspritzen_1_1,einspritzung_1_1) )).++fof(fact_3258,axiom,(+ chea(einspritzen_1_1,injizieren_2_1) )).++fof(fact_3259,axiom,(+ chea(einspritzen_1_1,injizierung_1_1) )).++fof(fact_3260,axiom,(+ chea(einstampfen_1_1,einstampfen_2_1) )).++fof(fact_3261,axiom,(+ chea(einstauben_1_1,einstauben_2_1) )).++fof(fact_3262,axiom,(+ chea(einstechen_1_1,einstechen_2_1) )).++fof(fact_3263,axiom,(+ chea(einstechen_1_1,piken_2_1) )).++fof(fact_3264,axiom,(+ chea(einstechen_1_1,stanzen_2_1) )).++fof(fact_3265,axiom,(+ chea(einstellen_1_1,einstellung_1_1) )).++fof(fact_3266,axiom,(+ chea(einstellen_1_3,einstellung_1_5) )).++fof(fact_3267,axiom,(+ chea(einstellen_1_5,einstellung_1_3) )).++fof(fact_3268,axiom,(+ chea(einstellen_2_1,einstellung_1_4) )).++fof(fact_3269,axiom,(+ chea(einstimmen_1_1,einstimmung_1_1) )).++fof(fact_3270,axiom,(+ chea(einstimmen_1_2,einstimmung_1_2) )).++fof(fact_3271,axiom,(+ chea(einstimmen_1_3,einstimmung_1_3) )).++fof(fact_3272,axiom,(+ chea(einstimmen_1_3,goutieren_2_1) )).++fof(fact_3273,axiom,(+ chea(einstimmen_1_3,guthei__337ung_1_1) )).++fof(fact_3274,axiom,(+ chea(einstimmen_1_3,zustimmen_2_1) )).++fof(fact_3275,axiom,(+ chea(einstimmen_1_3,zustimmung_1_1) )).++fof(fact_3276,axiom,(+ chea(einstimmen_1_4,einstimmung_1_4) )).++fof(fact_3277,axiom,(+ chea(einstrahlen_1_1,einstrahlen_2_1) )).++fof(fact_3278,axiom,(+ chea(einstrahlen_1_1,einstrahlung_1_1) )).++fof(fact_3279,axiom,(+ chea(einstreichen_1_1,einstreichen_2_1) )).++fof(fact_3280,axiom,(+ chea(einstreichen_1_1,einstreichung_1_1) )).++fof(fact_3281,axiom,(+ chea(einstreuen_1_1,einstreuen_2_1) )).++fof(fact_3282,axiom,(+ chea(einstreuen_1_1,einstreuung_1_1) )).++fof(fact_3283,axiom,(+ chea(einstr__366men_1_1,einstr__366men_2_1) )).++fof(fact_3284,axiom,(+ chea(einstr__366men_1_1,einstr__366mung_1_1) )).++fof(fact_3285,axiom,(+ chea(einstudieren_1_1,einstudieren_2_1) )).++fof(fact_3286,axiom,(+ chea(einstudieren_1_1,einstudierung_1_1) )).++fof(fact_3287,axiom,(+ chea(einstufen_1_1,eingruppierung_1_1) )).++fof(fact_3288,axiom,(+ chea(einst__374lpen_1_1,einst__374lpung_1_1) )).++fof(fact_3289,axiom,(+ chea(einst__374rzen_1_1,einsturz_1_1) )).++fof(fact_3290,axiom,(+ chea(einst__374rzen_1_1,einst__374rzen_2_1) )).++fof(fact_3291,axiom,(+ chea(eins__344en_1_1,eins__344en_2_1) )).++fof(fact_3292,axiom,(+ chea(eintanzen_1_1,eintanzen_2_1) )).++fof(fact_3293,axiom,(+ chea(eintauschen_1_1,eintauschen_2_1) )).++fof(fact_3294,axiom,(+ chea(einteilen_1_1,einteilung_1_1) )).++fof(fact_3295,axiom,(+ chea(einteilen_1_2,einteilung_1_2) )).++fof(fact_3296,axiom,(+ chea(eintragen_1_1,eintragung_1_1) )).++fof(fact_3297,axiom,(+ chea(eintreiben_1_1,eintreiben_2_1) )).++fof(fact_3298,axiom,(+ chea(eintreiben_1_1,eintreibung_1_1) )).++fof(fact_3299,axiom,(+ chea(eintreten_2_4,hineingehen_2_1) )).++fof(fact_3300,axiom,(+ chea(eintrocknen_1_1,eintrocknen_2_1) )).++fof(fact_3301,axiom,(+ chea(eintrocknen_1_1,eintrocknung_1_1) )).++fof(fact_3302,axiom,(+ chea(eintr__344ufeln_1_1,eintr__344ufeln_2_1) )).++fof(fact_3303,axiom,(+ chea(eintr__374ben_1_1,eintr__374bung_1_1) )).++fof(fact_3304,axiom,(+ chea(eintunken_1_1,eintunken_2_1) )).++fof(fact_3305,axiom,(+ chea(eintunken_1_1,tunken_2_1) )).++fof(fact_3306,axiom,(+ chea(eint__344towieren_1_1,eint__344towierung_1_1) )).++fof(fact_3307,axiom,(+ chea(eint__374ten_1_1,eint__374ten_2_1) )).++fof(fact_3308,axiom,(+ chea(einverleiben_1_1,einverleiben_2_1) )).++fof(fact_3309,axiom,(+ chea(einverleiben_1_1,einverleibung_1_1) )).++fof(fact_3310,axiom,(+ chea(einvernehmen_2_1,einvernehmen_1_1) )).++fof(fact_3311,axiom,(+ chea(einvernehmen_2_1,einvernehmung_1_1) )).++fof(fact_3312,axiom,(+ chea(einwachsen_1_1,einwachsen_2_1) )).++fof(fact_3313,axiom,(+ chea(einwachsen_1_1,einwachsung_1_1) )).++fof(fact_3314,axiom,(+ chea(einwandern_1_1,einwanderung_1_1) )).++fof(fact_3315,axiom,(+ chea(einwechseln_1_1,einwechseln_2_1) )).++fof(fact_3316,axiom,(+ chea(einwechseln_1_1,einwechselung_1_1) )).++fof(fact_3317,axiom,(+ chea(einwechseln_1_1,einwechslung_1_1) )).++fof(fact_3318,axiom,(+ chea(einweichen_1_1,einweichen_2_1) )).++fof(fact_3319,axiom,(+ chea(einweihen_1_1,einweihung_1_2) )).++fof(fact_3320,axiom,(+ chea(einweihen_1_2,einweihung_1_1) )).++fof(fact_3321,axiom,(+ chea(einweisen_1_1,einweisung_1_1) )).++fof(fact_3322,axiom,(+ chea(einweisen_1_2,einweisung_1_2) )).++fof(fact_3323,axiom,(+ chea(einwenden_1_1,einwand_1_1) )).++fof(fact_3324,axiom,(+ chea(einwilligen_1_1,einwilligung_1_1) )).++fof(fact_3325,axiom,(+ chea(einwirken_1_1,einwirken_2_1) )).++fof(fact_3326,axiom,(+ chea(einwirken_1_1,einwirkung_1_1) )).++fof(fact_3327,axiom,(+ chea(einwohnen_1_1,einwohnen_2_1) )).++fof(fact_3328,axiom,(+ chea(einwohnen_1_1,einwohnung_1_1) )).++fof(fact_3329,axiom,(+ chea(einw__344hlen_1_1,einw__344hlen_2_1) )).++fof(fact_3330,axiom,(+ chea(einzeichnen_1_1,einzeichnen_2_1) )).++fof(fact_3331,axiom,(+ chea(einzeichnen_1_1,einzeichnung_1_1) )).++fof(fact_3332,axiom,(+ chea(einzementieren_1_1,einzementieren_2_1) )).++fof(fact_3333,axiom,(+ chea(einziehen_1_1,einziehung_1_2) )).++fof(fact_3334,axiom,(+ chea(einziehen_1_2,einziehung_1_3) )).++fof(fact_3335,axiom,(+ chea(einz__344unen_1_1,einz__344unen_2_1) )).++fof(fact_3336,axiom,(+ chea(einz__344unen_1_1,einz__344unung_1_1) )).++fof(fact_3337,axiom,(+ chea(ein__344schern_1_1,ein__344scherung_1_1) )).++fof(fact_3338,axiom,(+ chea(ein__344schern_1_1,kremierung_1_1) )).++fof(fact_3339,axiom,(+ chea(ein__344schern_1_1,zerbombung_1_1) )).++fof(fact_3340,axiom,(+ chea(ein__366len_1_1,ein__366len_2_1) )).++fof(fact_3341,axiom,(+ chea(ein__374ben_1_1,ein__374ben_2_1) )).++fof(fact_3342,axiom,(+ chea(ein__374ben_1_1,ein__374bung_1_1) )).++fof(fact_3343,axiom,(+ chea(eisen_2_1,eisen_1_1) )).++fof(fact_3344,axiom,(+ chea(eislaufen_1_1,eislaufen_2_1) )).++fof(fact_3345,axiom,(+ chea(eitern_1_1,schw__344rung_1_1) )).++fof(fact_3346,axiom,(+ chea(ejakulieren_1_1,ejakulation_1_1) )).++fof(fact_3347,axiom,(+ chea(ejakulieren_1_1,ejakulieren_2_1) )).++fof(fact_3348,axiom,(+ chea(elektrifizieren_1_1,elektrifizierung_1_1) )).++fof(fact_3349,axiom,(+ chea(elektrisieren_1_1,elektrisieren_2_1) )).++fof(fact_3350,axiom,(+ chea(elektrisieren_1_1,elektrisierung_1_1) )).++fof(fact_3351,axiom,(+ chea(eloxieren_1_1,eloxieren_2_1) )).++fof(fact_3352,axiom,(+ chea(eloxieren_1_1,eloxierung_1_1) )).++fof(fact_3353,axiom,(+ chea(emaillieren_1_1,emaillieren_2_1) )).++fof(fact_3354,axiom,(+ chea(emaillieren_1_1,emaillierung_1_1) )).++fof(fact_3355,axiom,(+ chea(emaillieren_1_1,lacken_2_1) )).++fof(fact_3356,axiom,(+ chea(emaillieren_1_1,lackieren_2_1) )).++fof(fact_3357,axiom,(+ chea(emaillieren_1_1,lackierung_1_1) )).++fof(fact_3358,axiom,(+ chea(emanieren_1_1,emanation_1_1) )).++fof(fact_3359,axiom,(+ chea(emanzipieren_1_1,emanzipation_1_1) )).++fof(fact_3360,axiom,(+ chea(emanzipieren_1_1,emanzipierung_1_1) )).++fof(fact_3361,axiom,(+ chea(emeritieren_1_1,emeritierung_1_1) )).++fof(fact_3362,axiom,(+ chea(emittieren_1_1,emission_1_1) )).++fof(fact_3363,axiom,(+ chea(emittieren_1_1,emittierung_1_1) )).++fof(fact_3364,axiom,(+ chea(emotionalisieren_1_1,emotionalisierung_1_1) )).++fof(fact_3365,axiom,(+ chea(empfangen_1_1,empfangen_2_1) )).++fof(fact_3366,axiom,(+ chea(empfehlen_1_1,empfehlen_2_1) )).++fof(fact_3367,axiom,(+ chea(empfehlen_1_1,empfehlung_1_1) )).++fof(fact_3368,axiom,(+ chea(emporkommen_1_1,emporkommen_2_1) )).++fof(fact_3369,axiom,(+ chea(emp__366ren_1_1,emp__366rung_1_1) )).++fof(fact_3370,axiom,(+ chea(emp__366ren_1_2,emp__366rung_1_2) )).++fof(fact_3371,axiom,(+ chea(emp__366ren_1_2,entr__374stung_1_1) )).++fof(fact_3372,axiom,(+ chea(emp__366ren_1_2,malaise_1_1) )).++fof(fact_3373,axiom,(+ chea(emp__366ren_1_2,verstimmen_2_1) )).++fof(fact_3374,axiom,(+ chea(emulgieren_1_1,emulgieren_2_1) )).++fof(fact_3375,axiom,(+ chea(emulgieren_1_1,emulgierung_1_1) )).++fof(fact_3376,axiom,(+ chea(engen_1_1,engen_2_1) )).++fof(fact_3377,axiom,(+ chea(entasten_1_1,entasten_2_1) )).++fof(fact_3378,axiom,(+ chea(entasten_1_1,entastung_1_1) )).++fof(fact_3379,axiom,(+ chea(entbehren_1_1,entbehrung_1_1) )).++fof(fact_3380,axiom,(+ chea(entbieten_1_1,entbieten_2_1) )).++fof(fact_3381,axiom,(+ chea(entbinden_1_1,entbindung_1_1) )).++fof(fact_3382,axiom,(+ chea(entbrennen_1_1,entflammung_1_1) )).++fof(fact_3383,axiom,(+ chea(entb__374rokratisieren_1_1,entb__374rokratisierung_1_1) )).++fof(fact_3384,axiom,(+ chea(entdecken_1_1,entdeckung_1_1) )).++fof(fact_3385,axiom,(+ chea(entehren_1_1,entehren_2_1) )).++fof(fact_3386,axiom,(+ chea(entehren_1_1,entehrung_1_1) )).++fof(fact_3387,axiom,(+ chea(enteignen_1_1,enteignung_1_1) )).++fof(fact_3388,axiom,(+ chea(enteignen_1_1,nationalisation_1_1) )).++fof(fact_3389,axiom,(+ chea(enteignen_1_1,sozialisation_1_1) )).++fof(fact_3390,axiom,(+ chea(enteignen_1_1,sozialisierung_1_1) )).++fof(fact_3391,axiom,(+ chea(enterben_1_1,enterbung_1_1) )).++fof(fact_3392,axiom,(+ chea(entern_1_1,enterung_1_1) )).++fof(fact_3393,axiom,(+ chea(entern_1_1,kaperung_1_1) )).++fof(fact_3394,axiom,(+ chea(entfachen_1_1,entfachen_2_1) )).++fof(fact_3395,axiom,(+ chea(entfachen_1_1,entfachung_1_1) )).++fof(fact_3396,axiom,(+ chea(entfachen_1_1,entfesselung_1_1) )).++fof(fact_3397,axiom,(+ chea(entfalten_1_1,entfaltung_1_3) )).++fof(fact_3398,axiom,(+ chea(entfalten_1_2,entfaltung_1_2) )).++fof(fact_3399,axiom,(+ chea(entfernen_1_1,abstand_1_1) )).++fof(fact_3400,axiom,(+ chea(entfernen_1_1,entfernen_2_1) )).++fof(fact_3401,axiom,(+ chea(entfestigen_1_1,entfestigung_1_1) )).++fof(fact_3402,axiom,(+ chea(entfetten_1_1,entfetten_2_1) )).++fof(fact_3403,axiom,(+ chea(entfetten_1_1,entfettung_1_1) )).++fof(fact_3404,axiom,(+ chea(entfeuchten_1_1,entfeuchtung_1_1) )).++fof(fact_3405,axiom,(+ chea(entflechten_1_1,entflechten_2_1) )).++fof(fact_3406,axiom,(+ chea(entflechten_1_1,entflechtung_1_1) )).++fof(fact_3407,axiom,(+ chea(entf__344rben_1_1,entf__344rben_2_1) )).++fof(fact_3408,axiom,(+ chea(entf__344rben_1_1,entf__344rbung_1_1) )).++fof(fact_3409,axiom,(+ chea(entf__374hren_1_1,entfuehrung_1_1) )).++fof(fact_3410,axiom,(+ chea(entf__374hren_1_1,entf__374hren_2_1) )).++fof(fact_3411,axiom,(+ chea(entgegensetzen_1_1,entgegensetzung_1_1) )).++fof(fact_3412,axiom,(+ chea(entgegenstehen_1_1,entgegenstehen_2_1) )).++fof(fact_3413,axiom,(+ chea(entgegenwirken_1_1,entgegenwirken_2_1) )).++fof(fact_3414,axiom,(+ chea(entgegenwirken_1_1,entgegenwirkung_1_1) )).++fof(fact_3415,axiom,(+ chea(entgelten_1_1,entgelten_2_1) )).++fof(fact_3416,axiom,(+ chea(entgelten_1_1,entgeltung_1_1) )).++fof(fact_3417,axiom,(+ chea(entgiften_1_1,dekontamination_1_1) )).++fof(fact_3418,axiom,(+ chea(entgiften_1_1,entgiften_2_1) )).++fof(fact_3419,axiom,(+ chea(entgiften_1_1,entgiftung_1_1) )).++fof(fact_3420,axiom,(+ chea(entgleisen_1_1,ausrutscher_1_1) )).++fof(fact_3421,axiom,(+ chea(entgleisen_1_1,entgleisen_2_1) )).++fof(fact_3422,axiom,(+ chea(entgleiten_1_1,entgleiten_2_1) )).++fof(fact_3423,axiom,(+ chea(entgleiten_1_1,entgleitung_1_1) )).++fof(fact_3424,axiom,(+ chea(entgraten_1_1,entgraten_2_1) )).++fof(fact_3425,axiom,(+ chea(entgraten_1_1,entgratung_1_1) )).++fof(fact_3426,axiom,(+ chea(entgrenzen_1_1,entgrenzung_1_1) )).++fof(fact_3427,axiom,(+ chea(enthaaren_1_1,depilation_1_1) )).++fof(fact_3428,axiom,(+ chea(enthaaren_1_1,enthaaren_2_1) )).++fof(fact_3429,axiom,(+ chea(enthaften_1_1,enthaftung_1_1) )).++fof(fact_3430,axiom,(+ chea(enthaupten_1_1,enthaupten_2_1) )).++fof(fact_3431,axiom,(+ chea(enthaupten_1_1,enthauptung_1_1) )).++fof(fact_3432,axiom,(+ chea(entheben_1_1,abberufung_1_1) )).++fof(fact_3433,axiom,(+ chea(entheiligen_1_1,entheiligung_1_1) )).++fof(fact_3434,axiom,(+ chea(entheiligen_1_1,entweihung_1_1) )).++fof(fact_3435,axiom,(+ chea(enthemmen_1_1,enthemmung_1_1) )).++fof(fact_3436,axiom,(+ chea(enth__344rten_1_1,enth__344rten_2_1) )).++fof(fact_3437,axiom,(+ chea(enth__344rten_1_1,enth__344rtung_1_1) )).++fof(fact_3438,axiom,(+ chea(enth__344uten_1_1,enth__344uten_2_1) )).++fof(fact_3439,axiom,(+ chea(enth__344uten_1_1,enth__344utung_1_1) )).++fof(fact_3440,axiom,(+ chea(enth__344uten_1_1,pellen_2_1) )).++fof(fact_3441,axiom,(+ chea(enth__374llen_1_1,enth__374llen_2_1) )).++fof(fact_3442,axiom,(+ chea(enth__374llen_1_1,enth__374llung_1_1) )).++fof(fact_3443,axiom,(+ chea(entideologisieren_1_1,entideologisierung_1_1) )).++fof(fact_3444,axiom,(+ chea(entkleiden_1_1,entkleiden_2_1) )).++fof(fact_3445,axiom,(+ chea(entkleiden_1_1,entkleidung_1_1) )).++fof(fact_3446,axiom,(+ chea(entkleiden_1_1,strippen_2_1) )).++fof(fact_3447,axiom,(+ chea(entkleiden_1_1,strippung_1_1) )).++fof(fact_3448,axiom,(+ chea(entkommen_1_1,entkommen_2_1) )).++fof(fact_3449,axiom,(+ chea(entkorken_1_1,entkorkung_1_1) )).++fof(fact_3450,axiom,(+ chea(entkrampfen_1_1,entkrampfung_1_1) )).++fof(fact_3451,axiom,(+ chea(entkrauten_1_1,entkrautung_1_1) )).++fof(fact_3452,axiom,(+ chea(entkriminalisieren_1_1,entkriminalisierung_1_1) )).++fof(fact_3453,axiom,(+ chea(entkr__344ften_1_1,entkr__344ftung_1_1) )).++fof(fact_3454,axiom,(+ chea(entladen_1_1,entladung_1_1) )).++fof(fact_3455,axiom,(+ chea(entladen_1_2,entladung_1_2) )).++fof(fact_3456,axiom,(+ chea(entlarven_1_1,entlarvung_1_1) )).++fof(fact_3457,axiom,(+ chea(entlassen_1_1,entlassung_1_1) )).++fof(fact_3458,axiom,(+ chea(entlassen_1_1,feuerung_1_1) )).++fof(fact_3459,axiom,(+ chea(entlassen_1_2,entlassung_1_2) )).++fof(fact_3460,axiom,(+ chea(entlassen_1_2,freilassen_2_1) )).++fof(fact_3461,axiom,(+ chea(entlasten_1_1,entlastung_1_3) )).++fof(fact_3462,axiom,(+ chea(entlasten_1_1,exkulpation_1_1) )).++fof(fact_3463,axiom,(+ chea(entlasten_1_1,exkulpierung_1_1) )).++fof(fact_3464,axiom,(+ chea(entlasten_1_3,entlastung_1_4) )).++fof(fact_3465,axiom,(+ chea(entlauben_1_1,entlaubung_1_1) )).++fof(fact_3466,axiom,(+ chea(entlaufen_1_1,entlaufen_2_1) )).++fof(fact_3467,axiom,(+ chea(entlaufen_1_1,entrinnen_2_1) )).++fof(fact_3468,axiom,(+ chea(entlausen_1_1,entlausen_2_1) )).++fof(fact_3469,axiom,(+ chea(entlausen_1_1,entlausung_1_1) )).++fof(fact_3470,axiom,(+ chea(entledigen_1_1,entledigen_2_1) )).++fof(fact_3471,axiom,(+ chea(entledigen_1_1,entledigung_1_1) )).++fof(fact_3472,axiom,(+ chea(entlehnen_1_1,entlehnung_1_1) )).++fof(fact_3473,axiom,(+ chea(entleiben_1_1,entleibung_1_1) )).++fof(fact_3474,axiom,(+ chea(entleihen_1_1,entleihen_2_1) )).++fof(fact_3475,axiom,(+ chea(entloben_1_1,entlobung_1_1) )).++fof(fact_3476,axiom,(+ chea(entl__374ften_1_1,bel__374ftung_1_1) )).++fof(fact_3477,axiom,(+ chea(entl__374ften_1_1,entl__374ften_2_1) )).++fof(fact_3478,axiom,(+ chea(entmagnetisieren_1_1,entmagnetisierung_1_1) )).++fof(fact_3479,axiom,(+ chea(entmannen_1_1,entmannung_1_1) )).++fof(fact_3480,axiom,(+ chea(entmannen_1_1,kastration_1_1) )).++fof(fact_3481,axiom,(+ chea(entmannen_1_1,kastrieren_2_1) )).++fof(fact_3482,axiom,(+ chea(entmannen_1_1,kastrierung_1_1) )).++fof(fact_3483,axiom,(+ chea(entmisten_1_1,entmistung_1_1) )).++fof(fact_3484,axiom,(+ chea(entmutigen_1_1,entmutigung_1_1) )).++fof(fact_3485,axiom,(+ chea(entmythisieren_1_1,entmythisierung_1_1) )).++fof(fact_3486,axiom,(+ chea(entmythologisieren_1_1,entmythologisierung_1_1) )).++fof(fact_3487,axiom,(+ chea(entm__374ndigen_1_1,entm__374ndigung_1_1) )).++fof(fact_3488,axiom,(+ chea(entnationalisieren_1_1,entnationalisierung_1_1) )).++fof(fact_3489,axiom,(+ chea(entnehmen_1_1,entnahme_1_1) )).++fof(fact_3490,axiom,(+ chea(entnehmen_1_1,entnehmen_2_1) )).++fof(fact_3491,axiom,(+ chea(entpers__366nlichen_1_1,depersonalisation_1_1) )).++fof(fact_3492,axiom,(+ chea(entpflichten_1_1,entpflichtung_1_1) )).++fof(fact_3493,axiom,(+ chea(entpolitisieren_1_1,entpolitisierung_1_1) )).++fof(fact_3494,axiom,(+ chea(entrechten_1_1,entrechtung_1_1) )).++fof(fact_3495,axiom,(+ chea(entrollen_1_1,entrollen_2_1) )).++fof(fact_3496,axiom,(+ chea(entrosten_1_1,entrosten_2_1) )).++fof(fact_3497,axiom,(+ chea(entrosten_1_1,entrostung_1_1) )).++fof(fact_3498,axiom,(+ chea(entr__374cken_1_1,entr__374ckung_1_1) )).++fof(fact_3499,axiom,(+ chea(entr__374mpeln_1_1,entr__374mpeln_2_1) )).++fof(fact_3500,axiom,(+ chea(entsaften_1_1,entsaften_2_1) )).++fof(fact_3501,axiom,(+ chea(entsaften_1_1,entsaftung_1_1) )).++fof(fact_3502,axiom,(+ chea(entsalzen_1_1,entsalzung_1_1) )).++fof(fact_3503,axiom,(+ chea(entscheiden_1_1,entscheidung_1_2) )).++fof(fact_3504,axiom,(+ chea(entscheiden_1_2,entscheidung_1_3) )).++fof(fact_3505,axiom,(+ chea(entscheiden_2_1,entscheidung_1_4) )).++fof(fact_3506,axiom,(+ chea(entscheiden_2_1,entschlie__337ung_1_1) )).++fof(fact_3507,axiom,(+ chea(entschlacken_1_1,entschlacken_2_1) )).++fof(fact_3508,axiom,(+ chea(entschlacken_1_1,entschlackung_1_1) )).++fof(fact_3509,axiom,(+ chea(entschlafen_1_1,entschlafen_2_1) )).++fof(fact_3510,axiom,(+ chea(entschlafen_1_1,entschlafung_1_1) )).++fof(fact_3511,axiom,(+ chea(entschlafen_1_1,verenden_2_1) )).++fof(fact_3512,axiom,(+ chea(entschlafen_1_1,verendung_1_1) )).++fof(fact_3513,axiom,(+ chea(entschlafen_1_1,versterben_2_1) )).++fof(fact_3514,axiom,(+ chea(entschulden_1_1,entschuldung_1_1) )).++fof(fact_3515,axiom,(+ chea(entschuldigen_1_1,abbitte_1_1) )).++fof(fact_3516,axiom,(+ chea(entschuldigen_1_2,entschuldigung_1_2) )).++fof(fact_3517,axiom,(+ chea(entschwinden_1_1,abhauen_3_1) )).++fof(fact_3518,axiom,(+ chea(entschwinden_1_1,entschwinden_2_1) )).++fof(fact_3519,axiom,(+ chea(entschwinden_1_1,trollen_2_1) )).++fof(fact_3520,axiom,(+ chea(entschwinden_1_1,verschwindung_1_1) )).++fof(fact_3521,axiom,(+ chea(entsch__344digen_1_1,entsch__344digung_1_1) )).++fof(fact_3522,axiom,(+ chea(entsch__344rfen_1_1,entsch__344rfen_2_1) )).++fof(fact_3523,axiom,(+ chea(entsch__344rfen_1_1,entsch__344rfung_1_1) )).++fof(fact_3524,axiom,(+ chea(entsiegeln_1_1,entsiegeln_2_1) )).++fof(fact_3525,axiom,(+ chea(entsorgen_1_1,entsorgen_2_1) )).++fof(fact_3526,axiom,(+ chea(entsorgen_1_1,entsorgung_1_1) )).++fof(fact_3527,axiom,(+ chea(entspannen_1_2,entspannung_1_2) )).++fof(fact_3528,axiom,(+ chea(entspannen_1_2,harmonisierung_1_1) )).++fof(fact_3529,axiom,(+ chea(entspannen_1_2,normalisation_1_1) )).++fof(fact_3530,axiom,(+ chea(entspannen_1_2,normalisieren_2_1) )).++fof(fact_3531,axiom,(+ chea(entsprechen_1_1,analogie__1_1) )).++fof(fact_3532,axiom,(+ chea(entsprechen_1_1,entsprechen_2_1) )).++fof(fact_3533,axiom,(+ chea(entspringen_1_1,entspringen_2_1) )).++fof(fact_3534,axiom,(+ chea(entstauben_1_1,entstauben_2_1) )).++fof(fact_3535,axiom,(+ chea(entstauben_1_1,entstaubung_1_1) )).++fof(fact_3536,axiom,(+ chea(entstehen_1_2,entstehung_1_2) )).++fof(fact_3537,axiom,(+ chea(entstellen_1_1,entstellen_2_1) )).++fof(fact_3538,axiom,(+ chea(entstellen_1_1,entstellung_1_1) )).++fof(fact_3539,axiom,(+ chea(entstofflichen_1_1,entstofflichung_1_1) )).++fof(fact_3540,axiom,(+ chea(entst__366ren_1_1,entst__366rung_1_1) )).++fof(fact_3541,axiom,(+ chea(entsumpfen_1_1,entsumpfung_1_1) )).++fof(fact_3542,axiom,(+ chea(ents__374hnen_1_1,ents__374hnung_1_1) )).++fof(fact_3543,axiom,(+ chea(enttabuisieren_1_1,enttabuisieren_2_1) )).++fof(fact_3544,axiom,(+ chea(enttabuisieren_1_1,enttabuisierung_1_1) )).++fof(fact_3545,axiom,(+ chea(enttarnen_1_1,enttarnung_1_1) )).++fof(fact_3546,axiom,(+ chea(entthronen_1_1,entmachtung_1_1) )).++fof(fact_3547,axiom,(+ chea(entt__344uschen_1_1,ent_t__344uschung_1_1) )).++fof(fact_3548,axiom,(+ chea(entt__344uschen_1_1,entt__344uschung_1_2) )).++fof(fact_3549,axiom,(+ chea(entwalden_1_1,entwaldung_1_1) )).++fof(fact_3550,axiom,(+ chea(entwarnen_1_1,entwarnung_1_1) )).++fof(fact_3551,axiom,(+ chea(entweichen_1_1,entweichen_2_1) )).++fof(fact_3552,axiom,(+ chea(entweichen_1_1,entweichung_1_1) )).++fof(fact_3553,axiom,(+ chea(entwenden_1_1,entwenden_2_1) )).++fof(fact_3554,axiom,(+ chea(entwenden_1_1,entwendung_1_1) )).++fof(fact_3555,axiom,(+ chea(entwenden_1_1,klauen_2_1) )).++fof(fact_3556,axiom,(+ chea(entwenden_1_1,stehlen_2_1) )).++fof(fact_3557,axiom,(+ chea(entwerfen_1_1,entwerfen_2_1) )).++fof(fact_3558,axiom,(+ chea(entwerfen_1_1,entwerfung_1_1) )).++fof(fact_3559,axiom,(+ chea(entwickeln_1_1,entwicklung_1_2) )).++fof(fact_3560,axiom,(+ chea(entwickeln_1_2,entwicklung_1_1) )).++fof(fact_3561,axiom,(+ chea(entwidmen_1_1,entwidmung_1_1) )).++fof(fact_3562,axiom,(+ chea(entwinden_1_1,entwindung_1_1) )).++fof(fact_3563,axiom,(+ chea(entwirren_1_1,entwirren_2_1) )).++fof(fact_3564,axiom,(+ chea(entwirren_1_1,entwirrung_1_1) )).++fof(fact_3565,axiom,(+ chea(entw__344ssern_1_1,drainage_1_1) )).++fof(fact_3566,axiom,(+ chea(entw__344ssern_1_1,trockenlegen_2_1) )).++fof(fact_3567,axiom,(+ chea(entw__374rdigen_1_1,dem__374tigung_1_1) )).++fof(fact_3568,axiom,(+ chea(entzaubern_1_1,entzauberung_1_1) )).++fof(fact_3569,axiom,(+ chea(entzerren_1_1,entzerren_2_1) )).++fof(fact_3570,axiom,(+ chea(entzerren_1_1,entzerrung_1_1) )).++fof(fact_3571,axiom,(+ chea(entziehen_1_1,entziehung_1_1) )).++fof(fact_3572,axiom,(+ chea(entziehen_1_2,entziehung_1_2) )).++fof(fact_3573,axiom,(+ chea(entzweien_1_1,entzweiung_1_1) )).++fof(fact_3574,axiom,(+ chea(entz__374cken_1_1,enthusiasmus_1_1) )).++fof(fact_3575,axiom,(+ chea(entz__374nden_1_1,entz__374ndung_1_1) )).++fof(fact_3576,axiom,(+ chea(entz__374nden_1_2,entz__374ndung_1_2) )).++fof(fact_3577,axiom,(+ chea(epilieren_1_1,epilation_1_1) )).++fof(fact_3578,axiom,(+ chea(erarbeiten_1_1,erarbeitung_1_1) )).++fof(fact_3579,axiom,(+ chea(erarbeiten_1_2,erarbeitung_1_2) )).++fof(fact_3580,axiom,(+ chea(erbarmen_1_1,erbarmen_2_1) )).++fof(fact_3581,axiom,(+ chea(erbarmen_1_1,erbarmung_1_1) )).++fof(fact_3582,axiom,(+ chea(erbauen_1_1,erbauung_1_1) )).++fof(fact_3583,axiom,(+ chea(erbauen_1_3,erbauung_1_3) )).++fof(fact_3584,axiom,(+ chea(erbeben_1_1,erbeben_3_1) )).++fof(fact_3585,axiom,(+ chea(erbeben_1_1,erbebung_1_1) )).++fof(fact_3586,axiom,(+ chea(erbetteln_1_1,erbetteln_2_1) )).++fof(fact_3587,axiom,(+ chea(erbeuten_1_1,erbeuten_2_1) )).++fof(fact_3588,axiom,(+ chea(erbeuten_1_1,erbeutung_1_1) )).++fof(fact_3589,axiom,(+ chea(erblicken_1_1,erblicken_2_1) )).++fof(fact_3590,axiom,(+ chea(erblinden_1_1,erblinden_2_1) )).++fof(fact_3591,axiom,(+ chea(erblinden_1_1,erblindung_1_1) )).++fof(fact_3592,axiom,(+ chea(erbringen_1_1,erbringen_2_1) )).++fof(fact_3593,axiom,(+ chea(erbringen_1_1,erbringung_1_1) )).++fof(fact_3594,axiom,(+ chea(erbr__374ten_1_1,erbr__374ten_2_1) )).++fof(fact_3595,axiom,(+ chea(erbr__374ten_1_1,erbr__374tung_1_1) )).++fof(fact_3596,axiom,(+ chea(erden_1_1,erden_2_1) )).++fof(fact_3597,axiom,(+ chea(erden_1_1,erdung_1_1) )).++fof(fact_3598,axiom,(+ chea(erdichten_1_1,erdichten_2_1) )).++fof(fact_3599,axiom,(+ chea(erdichten_1_1,erdichtung_1_1) )).++fof(fact_3600,axiom,(+ chea(erdrosseln_1_1,erdrosseln_2_1) )).++fof(fact_3601,axiom,(+ chea(erdrosseln_1_1,erdrosselung_1_1) )).++fof(fact_3602,axiom,(+ chea(erdrosseln_1_1,erw__374rgen_2_1) )).++fof(fact_3603,axiom,(+ chea(erdrosseln_1_1,strangulation_1_1) )).++fof(fact_3604,axiom,(+ chea(erdrosseln_1_1,strangulierung_1_1) )).++fof(fact_3605,axiom,(+ chea(erdulden_1_1,erdulden_2_1) )).++fof(fact_3606,axiom,(+ chea(erdulden_1_1,erduldung_1_1) )).++fof(fact_3607,axiom,(+ chea(ereilen_1_1,hereinbrechen_2_1) )).++fof(fact_3608,axiom,(+ chea(erfassen_1_1,erfassung_1_1) )).++fof(fact_3609,axiom,(+ chea(erfassen_1_1,registrierung_1_1) )).++fof(fact_3610,axiom,(+ chea(erfassen_1_2,erfassung_1_2) )).++fof(fact_3611,axiom,(+ chea(erfinden_1_1,erfinden_2_1) )).++fof(fact_3612,axiom,(+ chea(erfinden_1_1,erfindung_1_1) )).++fof(fact_3613,axiom,(+ chea(erfliegen_1_1,erfliegen_2_1) )).++fof(fact_3614,axiom,(+ chea(erforschen_1_1,erforschen_2_1) )).++fof(fact_3615,axiom,(+ chea(erforschen_1_1,erforschung_1_1) )).++fof(fact_3616,axiom,(+ chea(erfrieren_1_1,erfrieren_2_1) )).++fof(fact_3617,axiom,(+ chea(erfrieren_1_1,erfrierung_1_1) )).++fof(fact_3618,axiom,(+ chea(erfrischen_1_1,erfrischen_2_1) )).++fof(fact_3619,axiom,(+ chea(erfrischen_1_1,erquickung_1_1) )).++fof(fact_3620,axiom,(+ chea(erf__374hlen_1_1,erf__374hlen_2_1) )).++fof(fact_3621,axiom,(+ chea(erf__374llen_1_1,erfuellung_1_1) )).++fof(fact_3622,axiom,(+ chea(erf__374llen_1_2,erf__374llung_1_2) )).++fof(fact_3623,axiom,(+ chea(ergaunern_1_1,erschleichen_2_1) )).++fof(fact_3624,axiom,(+ chea(ergaunern_1_1,erschleichung_1_1) )).++fof(fact_3625,axiom,(+ chea(ergaunern_1_1,mopsen_2_1) )).++fof(fact_3626,axiom,(+ chea(ergl__374hen_1_1,ergl__374hen_2_1) )).++fof(fact_3627,axiom,(+ chea(ergreifen_1_1,arretierung_1_1) )).++fof(fact_3628,axiom,(+ chea(ergreifen_1_1,fassung_1_3) )).++fof(fact_3629,axiom,(+ chea(ergr__374nden_1_1,ergr__374nden_2_1) )).++fof(fact_3630,axiom,(+ chea(ergr__374nden_1_1,ergr__374ndung_1_1) )).++fof(fact_3631,axiom,(+ chea(erg__344nzen_1_1,erg__344nzung___1_1) )).++fof(fact_3632,axiom,(+ chea(erg__344nzen_1_1,komplementation_1_1) )).++fof(fact_3633,axiom,(+ chea(erg__344nzen_1_1,komplementieren_2_1) )).++fof(fact_3634,axiom,(+ chea(erg__344nzen_1_1,komplementierung_1_1) )).++fof(fact_3635,axiom,(+ chea(erg__344nzen_1_3,erg__344nzung_1_2) )).++fof(fact_3636,axiom,(+ chea(erg__366tzen_1_1,erg__366tzen_2_1) )).++fof(fact_3637,axiom,(+ chea(erg__366tzen_1_1,erg__366tzung_1_1) )).++fof(fact_3638,axiom,(+ chea(erhandeln_1_1,erhandeln_2_1) )).++fof(fact_3639,axiom,(+ chea(erheben_1_2,erhebung_1_3) )).++fof(fact_3640,axiom,(+ chea(erheben_1_3,erhebung_1_2) )).++fof(fact_3641,axiom,(+ chea(erheiraten_1_1,erheiratung_1_1) )).++fof(fact_3642,axiom,(+ chea(erhellen_1_1,erhellung_1_1) )).++fof(fact_3643,axiom,(+ chea(erhellen_1_1,erleuchten_2_1) )).++fof(fact_3644,axiom,(+ chea(erhellen_1_1,erleuchtung_1_1) )).++fof(fact_3645,axiom,(+ chea(erhellen_1_1,illumination_1_1) )).++fof(fact_3646,axiom,(+ chea(erhellen_1_1,illuminieren_2_1) )).++fof(fact_3647,axiom,(+ chea(erhellen_1_1,illuminierung_1_1) )).++fof(fact_3648,axiom,(+ chea(erhellen_1_2,erhellung_1_1) )).++fof(fact_3649,axiom,(+ chea(erhitzen_1_1,erhitzung_1_1) )).++fof(fact_3650,axiom,(+ chea(erhitzen_1_2,erhitzung_1_2) )).++fof(fact_3651,axiom,(+ chea(erhoffen_1_1,erhoffen_2_1) )).++fof(fact_3652,axiom,(+ chea(erholen_1_1,erholung_1_2) )).++fof(fact_3653,axiom,(+ chea(erh__344rten_1_1,erh__344rten_2_1) )).++fof(fact_3654,axiom,(+ chea(erh__344rten_1_1,erh__344rtung_1_1) )).++fof(fact_3655,axiom,(+ chea(erh__366hen_1_1,anhebung_1_1) )).++fof(fact_3656,axiom,(+ chea(erh__366hen_1_2,erh__366hung_1_2) )).++fof(fact_3657,axiom,(+ chea(erh__366ren_1_1,erh__366rung_1_1) )).++fof(fact_3658,axiom,(+ chea(erinnern_1_1,erinnerung_1_3) )).++fof(fact_3659,axiom,(+ chea(erjagen_1_1,erjagen_2_1) )).++fof(fact_3660,axiom,(+ chea(erkalten_1_1,erkalten_2_1) )).++fof(fact_3661,axiom,(+ chea(erkalten_1_1,erkaltung_1_1) )).++fof(fact_3662,axiom,(+ chea(erkaufen_1_1,erkaufen_2_1) )).++fof(fact_3663,axiom,(+ chea(erkennen_1_2,erkennung_1_2) )).++fof(fact_3664,axiom,(+ chea(erkennen_1_4,wiedererkennen_2_1) )).++fof(fact_3665,axiom,(+ chea(erklettern_1_1,ersteigen_2_1) )).++fof(fact_3666,axiom,(+ chea(erklettern_1_1,ersteigung_1_1) )).++fof(fact_3667,axiom,(+ chea(erklimmen_1_1,erklimmen_2_1) )).++fof(fact_3668,axiom,(+ chea(erklimmen_1_1,erklimmung_1_1) )).++fof(fact_3669,axiom,(+ chea(erklimmen_1_1,kraxeln_2_1) )).++fof(fact_3670,axiom,(+ chea(erklingen_1_1,erklingen_2_1) )).++fof(fact_3671,axiom,(+ chea(erklingen_1_1,ert__366nen_2_1) )).++fof(fact_3672,axiom,(+ chea(erklingen_1_1,ert__366nung_1_1) )).++fof(fact_3673,axiom,(+ chea(erkl__344ren_1_3,kommuniqu__351_1_1) )).++fof(fact_3674,axiom,(+ chea(erkranken_1_1,erkrankung_1_1) )).++fof(fact_3675,axiom,(+ chea(erkunden_1_1,erkunden_2_1) )).++fof(fact_3676,axiom,(+ chea(erkunden_1_1,erkundung_1_1) )).++fof(fact_3677,axiom,(+ chea(erkundigen_1_1,erkundigen_2_1) )).++fof(fact_3678,axiom,(+ chea(erkundigen_1_1,erkundigung_1_1) )).++fof(fact_3679,axiom,(+ chea(erkundigen_1_1,nachfragen_2_1) )).++fof(fact_3680,axiom,(+ chea(erk__344lten_1_1,erk__344ltung_1_1) )).++fof(fact_3681,axiom,(+ chea(erk__374ren_1_1,erk__374rung_1_1) )).++fof(fact_3682,axiom,(+ chea(erlahmen_1_1,erlahmen_2_1) )).++fof(fact_3683,axiom,(+ chea(erlahmen_1_1,erlahmung_1_1) )).++fof(fact_3684,axiom,(+ chea(erlangen_1_1,erlangung_1_1) )).++fof(fact_3685,axiom,(+ chea(erlassen_1_1,erlassung_1_1) )).++fof(fact_3686,axiom,(+ chea(erlassen_1_2,erlassung_1_2) )).++fof(fact_3687,axiom,(+ chea(erlaufen_1_1,erlaufen_2_1) )).++fof(fact_3688,axiom,(+ chea(erlauschen_1_1,erlauschen_2_1) )).++fof(fact_3689,axiom,(+ chea(erleben_1_1,erleben_2_1) )).++fof(fact_3690,axiom,(+ chea(erledigen_1_1,erledigen_2_1) )).++fof(fact_3691,axiom,(+ chea(erledigen_1_1,erledigung_1_1) )).++fof(fact_3692,axiom,(+ chea(erlegen_1_1,erlegung_1_1) )).++fof(fact_3693,axiom,(+ chea(erleiden_1_1,erleiden_2_1) )).++fof(fact_3694,axiom,(+ chea(erlesen_2_1,erlesen_3_1) )).++fof(fact_3695,axiom,(+ chea(erlisten_1_1,erlistung_1_1) )).++fof(fact_3696,axiom,(+ chea(erlosen_1_1,erlosen_2_1) )).++fof(fact_3697,axiom,(+ chea(erl__366schen_1_1,erl__366schen_2_1) )).++fof(fact_3698,axiom,(+ chea(erl__366schen_1_1,erl__366schung_1_1) )).++fof(fact_3699,axiom,(+ chea(erl__366schen_1_1,verl__366schen_2_1) )).++fof(fact_3700,axiom,(+ chea(erl__366schen_1_1,verl__366schung_1_1) )).++fof(fact_3701,axiom,(+ chea(erl__366sen_1_1,erl__366sung_1_1) )).++fof(fact_3702,axiom,(+ chea(ermahnen_1_1,ermahnen_2_1) )).++fof(fact_3703,axiom,(+ chea(ermahnen_1_1,ermahnung_1_1) )).++fof(fact_3704,axiom,(+ chea(ermahnen_1_1,tadel_1_1) )).++fof(fact_3705,axiom,(+ chea(ermahnen_1_1,verwarnen_2_1) )).++fof(fact_3706,axiom,(+ chea(ermatten_1_1,entkr__344ftung_1_1) )).++fof(fact_3707,axiom,(+ chea(ermatten_1_1,ermatten_2_1) )).++fof(fact_3708,axiom,(+ chea(ermatten_1_1,erm__374den_2_1) )).++fof(fact_3709,axiom,(+ chea(ermessen_1_1,ermessen_2_1) )).++fof(fact_3710,axiom,(+ chea(ermitteln_1_1,ermittlung_1_2) )).++fof(fact_3711,axiom,(+ chea(ermutigen_1_1,aufmunterung_1_1) )).++fof(fact_3712,axiom,(+ chea(ermutigen_1_1,motivierung_1_1) )).++fof(fact_3713,axiom,(+ chea(erm__344chtigen_1_1,erm__344chtigung_1_1) )).++fof(fact_3714,axiom,(+ chea(erm__344__337igen_1_1,erm__344__337igung_1_1) )).++fof(fact_3715,axiom,(+ chea(erm__366glichen_1_1,erm__366glichung_1_1) )).++fof(fact_3716,axiom,(+ chea(ernennen_1_1,ernennung_1_2) )).++fof(fact_3717,axiom,(+ chea(ernennen_1_2,ernennung_1_1) )).++fof(fact_3718,axiom,(+ chea(erneuen_1_1,erneuung_1_1) )).++fof(fact_3719,axiom,(+ chea(erneuern_1_1,erneuerung_1_1) )).++fof(fact_3720,axiom,(+ chea(erneuern_1_2,erneuerung_1_2) )).++fof(fact_3721,axiom,(+ chea(erniedrigen_1_1,dem__374tigung_1_1) )).++fof(fact_3722,axiom,(+ chea(erniedrigen_1_1,erniedrigen_2_1) )).++fof(fact_3723,axiom,(+ chea(erniedrigen_1_1,erniedrigung_1_1) )).++fof(fact_3724,axiom,(+ chea(erniedrigen_1_1,herabw__374rdigen_2_1) )).++fof(fact_3725,axiom,(+ chea(ernstnehmen_1_1,ernstnehmen_2_1) )).++fof(fact_3726,axiom,(+ chea(ernten_1_1,ernten_2_1) )).++fof(fact_3727,axiom,(+ chea(ern__344hren_1_1,ern__344hrung_1_2) )).++fof(fact_3728,axiom,(+ chea(ern__344hren_1_1,n__344hren_2_1) )).++fof(fact_3729,axiom,(+ chea(ern__344hren_1_1,n__344hrung_1_1) )).++fof(fact_3730,axiom,(+ chea(ern__344hren_1_2,ern__344hrung_1_1) )).++fof(fact_3731,axiom,(+ chea(erobern_1_1,eroberung_1_1) )).++fof(fact_3732,axiom,(+ chea(erobern_1_2,eroberung_1_2) )).++fof(fact_3733,axiom,(+ chea(erodieren_1_1,erodieren_2_1) )).++fof(fact_3734,axiom,(+ chea(erodieren_1_1,erodierung_1_1) )).++fof(fact_3735,axiom,(+ chea(erotisieren_1_1,erotisierung_1_1) )).++fof(fact_3736,axiom,(+ chea(erpressen_1_1,erpressen_2_1) )).++fof(fact_3737,axiom,(+ chea(erpressen_1_1,erpressung_1_1) )).++fof(fact_3738,axiom,(+ chea(erpressen_1_1,heischen_2_1) )).++fof(fact_3739,axiom,(+ chea(erraten_1_1,erraten_2_1) )).++fof(fact_3740,axiom,(+ chea(errechnen_1_1,errechnen_2_1) )).++fof(fact_3741,axiom,(+ chea(errechnen_1_1,errechnung_1_1) )).++fof(fact_3742,axiom,(+ chea(erregen_1_1,erregung_1_1) )).++fof(fact_3743,axiom,(+ chea(erreichen_1_1,erreichung_1_1) )).++fof(fact_3744,axiom,(+ chea(erretten_1_1,errettung_1_1) )).++fof(fact_3745,axiom,(+ chea(errichten_1_1,aufstellen_2_1) )).++fof(fact_3746,axiom,(+ chea(errichten_1_1,errichtung_1_1) )).++fof(fact_3747,axiom,(+ chea(erringen_1_1,erringen_2_1) )).++fof(fact_3748,axiom,(+ chea(erringen_1_1,erringung_1_1) )).++fof(fact_3749,axiom,(+ chea(err__366ten_1_1,err__366ten_2_1) )).++fof(fact_3750,axiom,(+ chea(err__366ten_1_1,err__366tung_1_1) )).++fof(fact_3751,axiom,(+ chea(ersaufen_1_1,ertrinken_2_1) )).++fof(fact_3752,axiom,(+ chea(erschaffen_1_1,erschaffen_2_1) )).++fof(fact_3753,axiom,(+ chea(erschaffen_1_1,erschaffung_1_1) )).++fof(fact_3754,axiom,(+ chea(erschaffen_1_1,erstellung_1_1) )).++fof(fact_3755,axiom,(+ chea(erschaffen_1_1,erzeugen_2_1) )).++fof(fact_3756,axiom,(+ chea(erschauen_1_1,erschauen_2_1) )).++fof(fact_3757,axiom,(+ chea(erschauern_1_1,erschauern_2_1) )).++fof(fact_3758,axiom,(+ chea(erschlie__337en_1_1,erforschung_1_1) )).++fof(fact_3759,axiom,(+ chea(erschlie__337en_1_2,erschlie__337ung_1_2) )).++fof(fact_3760,axiom,(+ chea(erschweren_1_1,erschwerung_1_1) )).++fof(fact_3761,axiom,(+ chea(ersch__374ttern_1_1,ersch__374tterung_1_1) )).++fof(fact_3762,axiom,(+ chea(ersetzen_1_1,ersetzung_1_1) )).++fof(fact_3763,axiom,(+ chea(ersinnen_1_1,ersinnen_2_1) )).++fof(fact_3764,axiom,(+ chea(ersinnen_1_1,ersinnung_1_1) )).++fof(fact_3765,axiom,(+ chea(ersitzen_1_1,ersitzung_1_1) )).++fof(fact_3766,axiom,(+ chea(ersp__344hen_1_1,ersp__344hen_2_1) )).++fof(fact_3767,axiom,(+ chea(erstarken_1_1,erstarken_2_1) )).++fof(fact_3768,axiom,(+ chea(erstarken_1_1,erstarkung_1_1) )).++fof(fact_3769,axiom,(+ chea(erstarren_1_1,erstarren_2_1) )).++fof(fact_3770,axiom,(+ chea(erstarren_1_1,erstarrung_1_1) )).++fof(fact_3771,axiom,(+ chea(erstatten_1_1,erstattung_1_2) )).++fof(fact_3772,axiom,(+ chea(erstatten_1_2,erstattung_1_1) )).++fof(fact_3773,axiom,(+ chea(erstellen_1_1,erstellen_2_1) )).++fof(fact_3774,axiom,(+ chea(erstellen_1_1,erstellung_1_1) )).++fof(fact_3775,axiom,(+ chea(ersticken_1_1,erstickung_1_1) )).++fof(fact_3776,axiom,(+ chea(ersticken_2_1,erstickung_1_2) )).++fof(fact_3777,axiom,(+ chea(erstreiten_1_1,erstreiten_2_1) )).++fof(fact_3778,axiom,(+ chea(erstver__366ffentlichen_1_1,erstpublikation_1_1) )).++fof(fact_3779,axiom,(+ chea(erst__374rmen_1_1,erst__374rmen_2_1) )).++fof(fact_3780,axiom,(+ chea(erst__374rmen_1_1,erst__374rmung_1_1) )).++fof(fact_3781,axiom,(+ chea(ersuchen_1_1,ersuchen_2_1) )).++fof(fact_3782,axiom,(+ chea(ers__344ufen_1_1,ertr__344nken_2_1) )).++fof(fact_3783,axiom,(+ chea(ers__344ufen_1_1,ertr__344nkung_1_1) )).++fof(fact_3784,axiom,(+ chea(ertappen_1_1,ertappung_1_1) )).++fof(fact_3785,axiom,(+ chea(erteilen_1_1,erteilung_1_1) )).++fof(fact_3786,axiom,(+ chea(ertragen_1_1,ertragen_2_1) )).++fof(fact_3787,axiom,(+ chea(ert__374chtigen_1_1,ert__374chtigung_1_1) )).++fof(fact_3788,axiom,(+ chea(eruieren_1_1,eruieren_2_1) )).++fof(fact_3789,axiom,(+ chea(eruieren_1_1,eruierung_1_1) )).++fof(fact_3790,axiom,(+ chea(erwecken_1_1,evozierung_1_1) )).++fof(fact_3791,axiom,(+ chea(erwehren_1_1,erwehren_2_1) )).++fof(fact_3792,axiom,(+ chea(erweichen_1_1,erweichen_2_1) )).++fof(fact_3793,axiom,(+ chea(erweichen_1_1,erweichung_1_1) )).++fof(fact_3794,axiom,(+ chea(erweitern_1_1,ausdehnung_1_1) )).++fof(fact_3795,axiom,(+ chea(erweitern_1_2,erweiterung_1_2) )).++fof(fact_3796,axiom,(+ chea(erwidern_1_1,erwiderung_1_1) )).++fof(fact_3797,axiom,(+ chea(erwirken_1_1,erwirken_2_1) )).++fof(fact_3798,axiom,(+ chea(erwirken_1_1,erwirkung_1_1) )).++fof(fact_3799,axiom,(+ chea(erwirtschaften_1_1,erwirtschaften_2_1) )).++fof(fact_3800,axiom,(+ chea(erwirtschaften_1_1,erwirtschaftung_1_1) )).++fof(fact_3801,axiom,(+ chea(erwischen_1_2,n374berrumpeln_2_1) )).++fof(fact_3802,axiom,(+ chea(erwischen_1_2,n374berrumpelung_1_1) )).++fof(fact_3803,axiom,(+ chea(erw__344gen_1_1,ermessen_2_1) )).++fof(fact_3804,axiom,(+ chea(erw__344gen_1_1,erw__344gen_2_1) )).++fof(fact_3805,axiom,(+ chea(erw__344hlen_1_1,erw__344hlen_2_1) )).++fof(fact_3806,axiom,(+ chea(erw__344hlen_1_1,erw__344hlung_1_1) )).++fof(fact_3807,axiom,(+ chea(erw__344hnen_1_1,erwaehnung_1_1) )).++fof(fact_3808,axiom,(+ chea(erw__344hnen_1_1,erw__344hnen_2_1) )).++fof(fact_3809,axiom,(+ chea(erzen_1_1,erzen_3_1) )).++fof(fact_3810,axiom,(+ chea(erziehen_1_1,erziehen_2_1) )).++fof(fact_3811,axiom,(+ chea(erziehen_1_1,erziehung_1_1) )).++fof(fact_3812,axiom,(+ chea(erzielen_1_1,erzielen_2_1) )).++fof(fact_3813,axiom,(+ chea(erzielen_1_1,erzielung_1_1) )).++fof(fact_3814,axiom,(+ chea(erzwingen_1_1,erzwingung_1_1) )).++fof(fact_3815,axiom,(+ chea(erzwingen_1_2,erzwingung_1_2) )).++fof(fact_3816,axiom,(+ chea(erz__344hlen_1_1,erz__344hlen_2_1) )).++fof(fact_3817,axiom,(+ chea(erz__344hlen_1_1,erz__344hlung_1_1) )).++fof(fact_3818,axiom,(+ chea(er__366ffnen_1_1,einweihung_1_1) )).++fof(fact_3819,axiom,(+ chea(er__366ffnen_1_2,er__366ffnung_1_2) )).++fof(fact_3820,axiom,(+ chea(er__366ffnen_1_3,er__366ffnung_1_3) )).++fof(fact_3821,axiom,(+ chea(er__366rtern_1_1,er__366rterung_1_2) )).++fof(fact_3822,axiom,(+ chea(eskortieren_1_1,eskortieren_2_1) )).++fof(fact_3823,axiom,(+ chea(eskortieren_1_1,eskortierung_1_1) )).++fof(fact_3824,axiom,(+ chea(etablieren_1_1,etablieren_2_1) )).++fof(fact_3825,axiom,(+ chea(etablieren_1_1,etablierung_1_1) )).++fof(fact_3826,axiom,(+ chea(ethnisieren_1_1,ethnisierung_1_1) )).++fof(fact_3827,axiom,(+ chea(etikettieren_1_1,etikettieren_2_1) )).++fof(fact_3828,axiom,(+ chea(etikettieren_1_1,etikettierung_1_1) )).++fof(fact_3829,axiom,(+ chea(europ__344isieren_1_1,europ__344isierung_1_1) )).++fof(fact_3830,axiom,(+ chea(evakuieren_1_1,evakuation_1_1) )).++fof(fact_3831,axiom,(+ chea(evakuieren_1_1,evakuieren_2_1) )).++fof(fact_3832,axiom,(+ chea(evakuieren_1_1,evakuierung_1_1) )).++fof(fact_3833,axiom,(+ chea(evaluieren_1_1,eingruppierung_1_1) )).++fof(fact_3834,axiom,(+ chea(evaluieren_1_1,evaluation_1_1) )).++fof(fact_3835,axiom,(+ chea(evaluieren_1_1,evaluieren_2_1) )).++fof(fact_3836,axiom,(+ chea(evaporieren_1_1,evaporation_1_1) )).++fof(fact_3837,axiom,(+ chea(evaporieren_1_1,kondensation_1_1) )).++fof(fact_3838,axiom,(+ chea(evaporieren_1_1,kondensieren_2_1) )).++fof(fact_3839,axiom,(+ chea(evaporieren_1_1,kondensierung_1_1) )).++fof(fact_3840,axiom,(+ chea(exaltieren_1_1,exaltation_1_1) )).++fof(fact_3841,axiom,(+ chea(examinieren_1_1,examination_1_1) )).++fof(fact_3842,axiom,(+ chea(examinieren_1_1,examinierung_1_1) )).++fof(fact_3843,axiom,(+ chea(exekutieren_1_1,exekutierung_1_1) )).++fof(fact_3844,axiom,(+ chea(exekutieren_1_1,exekution_1_1) )).++fof(fact_3845,axiom,(+ chea(exekutieren_1_1,hinrichten_2_1) )).++fof(fact_3846,axiom,(+ chea(exekutieren_1_1,liquidation_1_2) )).++fof(fact_3847,axiom,(+ chea(exekutieren_1_1,liquidierung_1_2) )).++fof(fact_3848,axiom,(+ chea(exemplifizieren_1_1,exemplifizierung_1_1) )).++fof(fact_3849,axiom,(+ chea(exerzieren_1_1,exerzieren_2_1) )).++fof(fact_3850,axiom,(+ chea(exhibieren_1_1,exhibieren_2_1) )).++fof(fact_3851,axiom,(+ chea(exkommunizieren_1_1,exkommunizierung_1_1) )).++fof(fact_3852,axiom,(+ chea(expedieren_1_1,expedieren_2_1) )).++fof(fact_3853,axiom,(+ chea(exploitieren_1_1,exploitation_1_1) )).++fof(fact_3854,axiom,(+ chea(explorieren_1_1,exploration_1_1) )).++fof(fact_3855,axiom,(+ chea(explorieren_1_1,explorieren_2_1) )).++fof(fact_3856,axiom,(+ chea(explorieren_1_1,sondieren_2_1) )).++fof(fact_3857,axiom,(+ chea(explorieren_1_1,sondierung_1_1) )).++fof(fact_3858,axiom,(+ chea(exponieren_1_1,exponation_1_1) )).++fof(fact_3859,axiom,(+ chea(exponieren_1_1,exponierung_1_1) )).++fof(fact_3860,axiom,(+ chea(expropriieren_1_1,expropriation_1_1) )).++fof(fact_3861,axiom,(+ chea(exspirieren_1_1,ausatmung_1_1) )).++fof(fact_3862,axiom,(+ chea(extensivieren_1_1,extensivierung_1_1) )).++fof(fact_3863,axiom,(+ chea(externalisieren_1_1,externalisierung_1_1) )).++fof(fact_3864,axiom,(+ chea(extrahieren_1_1,extrahieren_2_1) )).++fof(fact_3865,axiom,(+ chea(extrahieren_1_1,extrahierung_1_1) )).++fof(fact_3866,axiom,(+ chea(extrahieren_1_1,herausfiltern_2_1) )).++fof(fact_3867,axiom,(+ chea(fabrizieren_1_1,generieren_2_1) )).++fof(fact_3868,axiom,(+ chea(fabrizieren_1_1,generierung_1_1) )).++fof(fact_3869,axiom,(+ chea(fabulieren_1_1,fabulieren_2_1) )).++fof(fact_3870,axiom,(+ chea(facettieren_1_1,facettierung_1_1) )).++fof(fact_3871,axiom,(+ chea(fachsimpeln_1_1,fachsimpeln_2_1) )).++fof(fact_3872,axiom,(+ chea(fackeln_1_1,fackeln_2_1) )).++fof(fact_3873,axiom,(+ chea(fackeln_1_1,unentschlossenheit_1_1) )).++fof(fact_3874,axiom,(+ chea(fackeln_1_1,zagen_2_1) )).++fof(fact_3875,axiom,(+ chea(fackeln_1_1,zaudern_2_1) )).++fof(fact_3876,axiom,(+ chea(fahnden_1_1,entwicklung_1_1) )).++fof(fact_3877,axiom,(+ chea(fahnden_1_1,fahnden_2_1) )).++fof(fact_3878,axiom,(+ chea(fahnden_1_1,fahndung_1_1) )).++fof(fact_3879,axiom,(+ chea(fahnden_1_1,forschen_2_1) )).++fof(fact_3880,axiom,(+ chea(faksimilieren_1_1,faksimilieren_2_1) )).++fof(fact_3881,axiom,(+ chea(faksimilieren_1_1,faksimilierung_1_1) )).++fof(fact_3882,axiom,(+ chea(faksimilieren_1_1,nachdrucken_2_1) )).++fof(fact_3883,axiom,(+ chea(fakturieren_1_1,fakturation_1_1) )).++fof(fact_3884,axiom,(+ chea(fakturieren_1_1,fakturierung_1_1) )).++fof(fact_3885,axiom,(+ chea(falschspielen_1_1,falschspielen_2_1) )).++fof(fact_3886,axiom,(+ chea(falsettieren_1_1,falsettieren_2_1) )).++fof(fact_3887,axiom,(+ chea(falsifizieren_1_1,falsifizieren_2_1) )).++fof(fact_3888,axiom,(+ chea(falsifizieren_1_1,falsifizierung_1_1) )).++fof(fact_3889,axiom,(+ chea(falsifizieren_1_1,gegenargument_1_1) )).++fof(fact_3890,axiom,(+ chea(falsifizieren_1_1,widerlegen_2_1) )).++fof(fact_3891,axiom,(+ chea(falten_1_1,falten_2_1) )).++fof(fact_3892,axiom,(+ chea(falten_1_1,faltung_1_1) )).++fof(fact_3893,axiom,(+ chea(faseln_1_1,schwadronieren_2_1) )).++fof(fact_3894,axiom,(+ chea(fasen_1_1,fasung_1_1) )).++fof(fact_3895,axiom,(+ chea(fasten_1_1,fasten_2_1) )).++fof(fact_3896,axiom,(+ chea(fauchen_1_1,fauchen_2_1) )).++fof(fact_3897,axiom,(+ chea(faulen_1_1,faulen_2_1) )).++fof(fact_3898,axiom,(+ chea(faulen_1_1,faulung_1_1) )).++fof(fact_3899,axiom,(+ chea(faulen_1_1,verfaulen_2_1) )).++fof(fact_3900,axiom,(+ chea(faulen_1_1,verfaulung_1_1) )).++fof(fact_3901,axiom,(+ chea(faulenzen_1_1,ausruhen_2_1) )).++fof(fact_3902,axiom,(+ chea(favorisieren_1_1,favorisierung_1_1) )).++fof(fact_3903,axiom,(+ chea(fehlbesetzen_1_1,fehlbesetzung_1_1) )).++fof(fact_3904,axiom,(+ chea(fehlgehen_1_1,fehlgehen_2_1) )).++fof(fact_3905,axiom,(+ chea(fehlschlagen_1_1,fehlschlagen_2_1) )).++fof(fact_3906,axiom,(+ chea(feien_1_1,feien_2_1) )).++fof(fact_3907,axiom,(+ chea(feien_1_1,feiung_1_1) )).++fof(fact_3908,axiom,(+ chea(feilbieten_1_1,feilbieten_2_1) )).++fof(fact_3909,axiom,(+ chea(feilbieten_1_1,feilbietung_1_1) )).++fof(fact_3910,axiom,(+ chea(feinden_1_1,feinden_2_1) )).++fof(fact_3911,axiom,(+ chea(feixen_1_1,feixen_2_1) )).++fof(fact_3912,axiom,(+ chea(felgen_1_1,felgen_2_1) )).++fof(fact_3913,axiom,(+ chea(feminisieren_1_1,feminisierung_1_1) )).++fof(fact_3914,axiom,(+ chea(feminisieren_1_1,verweiblichung_1_1) )).++fof(fact_3915,axiom,(+ chea(fermentieren_1_1,fermentation_1_1) )).++fof(fact_3916,axiom,(+ chea(fermentieren_1_1,fermentieren_2_1) )).++fof(fact_3917,axiom,(+ chea(fermentieren_1_1,fermentierung_1_1) )).++fof(fact_3918,axiom,(+ chea(fernbleiben_1_1,fehlen_2_1) )).++fof(fact_3919,axiom,(+ chea(fernbleiben_1_1,wegbleiben_2_1) )).++fof(fact_3920,axiom,(+ chea(fernlenken_1_1,fernlenkung_1_1) )).++fof(fact_3921,axiom,(+ chea(fertigstellen_1_1,fertigstellung_1_1) )).++fof(fact_3922,axiom,(+ chea(festigen_1_1,festigen_2_1) )).++fof(fact_3923,axiom,(+ chea(festigen_1_1,festigung_1_1) )).++fof(fact_3924,axiom,(+ chea(festigen_1_1,konsolidation_1_1) )).++fof(fact_3925,axiom,(+ chea(festigen_1_1,konsolidieren_2_1) )).++fof(fact_3926,axiom,(+ chea(festigen_1_1,konsolidierung_1_1) )).++fof(fact_3927,axiom,(+ chea(festliegen_1_1,festliegen_2_1) )).++fof(fact_3928,axiom,(+ chea(festsaugen_1_1,festsaugen_2_1) )).++fof(fact_3929,axiom,(+ chea(festsetzen_1_1,festsetzung_1_1) )).++fof(fact_3930,axiom,(+ chea(festsetzen_1_2,festsetzung_1_2) )).++fof(fact_3931,axiom,(+ chea(festsitzen_1_1,festsitzen_2_1) )).++fof(fact_3932,axiom,(+ chea(festsitzen_1_1,festsitzung_1_1) )).++fof(fact_3933,axiom,(+ chea(feststehen_1_1,feststehen_2_1) )).++fof(fact_3934,axiom,(+ chea(festwachsen_1_1,festwachsen_2_1) )).++fof(fact_3935,axiom,(+ chea(festziehen_1_1,festziehen_2_1) )).++fof(fact_3936,axiom,(+ chea(festzurren_1_1,festzurren_2_1) )).++fof(fact_3937,axiom,(+ chea(fetischisieren_1_1,fetischisierung_1_1) )).++fof(fact_3938,axiom,(+ chea(feuerwerken_1_1,feuerwerken_2_1) )).++fof(fact_3939,axiom,(+ chea(fiedeln_1_1,fiedeln_2_1) )).++fof(fact_3940,axiom,(+ chea(fiepen_1_1,fiepen_2_1) )).++fof(fact_3941,axiom,(+ chea(fieren_1_1,fieren_2_1) )).++fof(fact_3942,axiom,(+ chea(fieren_1_1,fierung_1_1) )).++fof(fact_3943,axiom,(+ chea(fighten_1_1,fighten_2_1) )).++fof(fact_3944,axiom,(+ chea(figurieren_1_1,figuration_1_1) )).++fof(fact_3945,axiom,(+ chea(figurieren_1_1,figurierung_1_1) )).++fof(fact_3946,axiom,(+ chea(figurieren_1_1,mimen_2_1) )).++fof(fact_3947,axiom,(+ chea(figurieren_1_1,mimung_1_1) )).++fof(fact_3948,axiom,(+ chea(filetieren_1_1,filetieren_2_1) )).++fof(fact_3949,axiom,(+ chea(filieren_1_1,filieren_2_1) )).++fof(fact_3950,axiom,(+ chea(filtern_1_1,filterung_1_1) )).++fof(fact_3951,axiom,(+ chea(filtern_1_1,filtration_1_1) )).++fof(fact_3952,axiom,(+ chea(filtern_1_1,filtrieren_2_1) )).++fof(fact_3953,axiom,(+ chea(filtern_1_1,filtrierung_1_1) )).++fof(fact_3954,axiom,(+ chea(filzen_1_1,filzen_2_1) )).++fof(fact_3955,axiom,(+ chea(finanzieren_1_1,finanzieren_2_1) )).++fof(fact_3956,axiom,(+ chea(finanzieren_1_1,finanzierung_1_1) )).++fof(fact_3957,axiom,(+ chea(finden_1_1,findung_1_1) )).++fof(fact_3958,axiom,(+ chea(fingieren_1_1,fingieren_2_1) )).++fof(fact_3959,axiom,(+ chea(fingieren_1_1,fingierung_1_1) )).++fof(fact_3960,axiom,(+ chea(fingieren_1_1,markierung_1_3) )).++fof(fact_3961,axiom,(+ chea(firmen_1_1,firmen_2_1) )).++fof(fact_3962,axiom,(+ chea(firmen_1_1,firmung_1_1) )).++fof(fact_3963,axiom,(+ chea(firmieren_1_1,firmierung_1_1) )).++fof(fact_3964,axiom,(+ chea(fisteln_1_1,fisteln_2_1) )).++fof(fact_3965,axiom,(+ chea(fixieren_1_1,fixierung_1_1) )).++fof(fact_3966,axiom,(+ chea(fixieren_1_2,fixierung_1_2) )).++fof(fact_3967,axiom,(+ chea(flachsen_1_1,flachsen_2_1) )).++fof(fact_3968,axiom,(+ chea(flaggen_1_1,flaggen_2_1) )).++fof(fact_3969,axiom,(+ chea(flambieren_1_1,flambieren_2_1) )).++fof(fact_3970,axiom,(+ chea(flammen_1_1,flammen_2_1) )).++fof(fact_3971,axiom,(+ chea(flanieren_1_1,flanieren_2_1) )).++fof(fact_3972,axiom,(+ chea(flanken_1_1,flanken_2_1) )).++fof(fact_3973,axiom,(+ chea(flankieren_1_1,flankierung_1_1) )).++fof(fact_3974,axiom,(+ chea(flanschen_1_1,flanschen_2_1) )).++fof(fact_3975,axiom,(+ chea(flattern_1_1,flirren_2_1) )).++fof(fact_3976,axiom,(+ chea(flechten_1_1,flechten_2_1) )).++fof(fact_3977,axiom,(+ chea(flecken_2_1,fleckung_1_1) )).++fof(fact_3978,axiom,(+ chea(flennen_1_1,flennen_2_1) )).++fof(fact_3979,axiom,(+ chea(flennen_1_1,schluchzen_2_1) )).++fof(fact_3980,axiom,(+ chea(flexibilisieren_1_1,flexibilisieren_2_1) )).++fof(fact_3981,axiom,(+ chea(flexibilisieren_1_1,flexibilisierung_1_1) )).++fof(fact_3982,axiom,(+ chea(fliehen_1_1,fliehen_2_1) )).++fof(fact_3983,axiom,(+ chea(fliesen_1_1,fliesen_2_1) )).++fof(fact_3984,axiom,(+ chea(fliesen_1_1,fliesung_1_1) )).++fof(fact_3985,axiom,(+ chea(flie__337en_1_1,flie__337en_2_1) )).++fof(fact_3986,axiom,(+ chea(florieren_1_1,florieren_2_1) )).++fof(fact_3987,axiom,(+ chea(flotieren_1_1,flotation_1_1) )).++fof(fact_3988,axiom,(+ chea(flottieren_1_1,flottieren_2_1) )).++fof(fact_3989,axiom,(+ chea(fluchen_1_1,fluchen_2_1) )).++fof(fact_3990,axiom,(+ chea(fluktuieren_1_1,fluktuation_1_1) )).++fof(fact_3991,axiom,(+ chea(fluktuieren_1_1,fluktuieren_2_1) )).++fof(fact_3992,axiom,(+ chea(fluoreszieren_1_1,fluoreszieren_2_1) )).++fof(fact_3993,axiom,(+ chea(fl__344mmen_1_1,fl__344mmen_2_1) )).++fof(fact_3994,axiom,(+ chea(fl__366hen_1_1,fl__366hen_2_1) )).++fof(fact_3995,axiom,(+ chea(fl__374chten_1_1,fl__374chten_2_1) )).++fof(fact_3996,axiom,(+ chea(fl__374chten_1_1,fl__374chtung_1_1) )).++fof(fact_3997,axiom,(+ chea(fl__374ssigmachen_1_1,fl__374ssigmachung_1_1) )).++fof(fact_3998,axiom,(+ chea(fl__374stern_1_1,tuscheln_2_1) )).++fof(fact_3999,axiom,(+ chea(fokussieren_1_1,fokussieren_2_1) )).++fof(fact_4000,axiom,(+ chea(fokussieren_1_1,fokussierung_1_1) )).++fof(fact_4001,axiom,(+ chea(foliieren_1_1,foliation_1_1) )).++fof(fact_4002,axiom,(+ chea(foliieren_1_1,foliieren_2_1) )).++fof(fact_4003,axiom,(+ chea(foliieren_1_1,foliierung_1_1) )).++fof(fact_4004,axiom,(+ chea(foltern_1_1,folterung_1_1) )).++fof(fact_4005,axiom,(+ chea(foltern_1_2,folterung_1_2) )).++fof(fact_4006,axiom,(+ chea(forcieren_1_1,forcieren_2_1) )).++fof(fact_4007,axiom,(+ chea(forcieren_1_1,forcierung_1_1) )).++fof(fact_4008,axiom,(+ chea(formalisieren_1_1,formalisieren_2_1) )).++fof(fact_4009,axiom,(+ chea(formalisieren_1_1,formalisierung_1_1) )).++fof(fact_4010,axiom,(+ chea(formatieren_1_1,formatieren_2_1) )).++fof(fact_4011,axiom,(+ chea(formatieren_1_1,formatierung_1_1) )).++fof(fact_4012,axiom,(+ chea(formen_1_2,formung_1_2) )).++fof(fact_4013,axiom,(+ chea(formen_1_2,herausbilden_2_1) )).++fof(fact_4014,axiom,(+ chea(formen_1_2,herausbildung_1_1) )).++fof(fact_4015,axiom,(+ chea(formieren_1_1,formation_1_1) )).++fof(fact_4016,axiom,(+ chea(formieren_1_1,formieren_2_1) )).++fof(fact_4017,axiom,(+ chea(formieren_1_1,formierung_1_1) )).++fof(fact_4018,axiom,(+ chea(formulieren_1_1,formulation_1_1) )).++fof(fact_4019,axiom,(+ chea(formulieren_1_1,formulieren_2_1) )).++fof(fact_4020,axiom,(+ chea(formulieren_1_1,formulierung_1_1) )).++fof(fact_4021,axiom,(+ chea(forsten_1_1,forsten_2_1) )).++fof(fact_4022,axiom,(+ chea(fortbewegen_1_1,fortbewegen_2_1) )).++fof(fact_4023,axiom,(+ chea(fortbewegen_1_1,fortbewegung_1_1) )).++fof(fact_4024,axiom,(+ chea(fortbilden_1_1,fortbilden_2_1) )).++fof(fact_4025,axiom,(+ chea(fortbilden_1_1,fortbildung_1_1) )).++fof(fact_4026,axiom,(+ chea(fortbilden_1_1,qualifikation_1_1) )).++fof(fact_4027,axiom,(+ chea(fortbilden_1_1,weiterbilden_2_1) )).++fof(fact_4028,axiom,(+ chea(fortbilden_1_1,weiterbildung_1_1) )).++fof(fact_4029,axiom,(+ chea(fortfahren_1_1,fortfahren_2_1) )).++fof(fact_4030,axiom,(+ chea(fortfahren_1_1,wegfahren_2_1) )).++fof(fact_4031,axiom,(+ chea(fortf__374hren_1_1,fortfuehrung_1_1) )).++fof(fact_4032,axiom,(+ chea(fortf__374hren_1_1,fortf__374hren_2_1) )).++fof(fact_4033,axiom,(+ chea(fortf__374hren_1_1,kontinuation_1_1) )).++fof(fact_4034,axiom,(+ chea(fortf__374hren_1_1,kontinuierung_1_1) )).++fof(fact_4035,axiom,(+ chea(fortgehen_1_1,abgang_1_2) )).++fof(fact_4036,axiom,(+ chea(fortifizieren_1_1,fortifizierung_1_1) )).++fof(fact_4037,axiom,(+ chea(fortjagen_1_1,verjagen_2_1) )).++fof(fact_4038,axiom,(+ chea(fortjagen_1_1,verscheuchen_2_1) )).++fof(fact_4039,axiom,(+ chea(fortkommen_1_1,fortkommen_2_1) )).++fof(fact_4040,axiom,(+ chea(fortleben_1_1,fortleben_2_1) )).++fof(fact_4041,axiom,(+ chea(fortleben_1_1,weiterleben_2_1) )).++fof(fact_4042,axiom,(+ chea(fortpflanzen_1_1,fortpflanzen_2_1) )).++fof(fact_4043,axiom,(+ chea(fortpflanzen_1_1,fortpflanzung_1_1) )).++fof(fact_4044,axiom,(+ chea(fortpflanzen_1_1,vermehrung_1_1) )).++fof(fact_4045,axiom,(+ chea(fortschaffen_1_1,beseitigung_1_1) )).++fof(fact_4046,axiom,(+ chea(fortschreiben_1_1,fortschreiben_2_1) )).++fof(fact_4047,axiom,(+ chea(fortschreiben_1_1,fortschreibung_1_1) )).++fof(fact_4048,axiom,(+ chea(fortsetzen_1_1,fortsetzung_1_1) )).++fof(fact_4049,axiom,(+ chea(fortwerfen_1_1,fortwerfen_2_1) )).++fof(fact_4050,axiom,(+ chea(fortwerfen_1_1,wegschmei__337en_2_1) )).++fof(fact_4051,axiom,(+ chea(fortwerfen_1_1,wegwerfen_2_1) )).++fof(fact_4052,axiom,(+ chea(fortwerfen_1_1,wegwerfung_1_1) )).++fof(fact_4053,axiom,(+ chea(fortziehen_1_1,fortzug_1_1) )).++fof(fact_4054,axiom,(+ chea(fragmentieren_1_1,fragmentierung_1_1) )).++fof(fact_4055,axiom,(+ chea(frankieren_1_1,frankieren_2_1) )).++fof(fact_4056,axiom,(+ chea(frankieren_1_1,frankierung_1_1) )).++fof(fact_4057,axiom,(+ chea(frankieren_1_1,freimachung_1_1) )).++fof(fact_4058,axiom,(+ chea(frappieren_1_1,frappieren_2_1) )).++fof(fact_4059,axiom,(+ chea(fraternisieren_1_1,fraternisation_1_1) )).++fof(fact_4060,axiom,(+ chea(fraternisieren_1_1,fraternisieren_2_1) )).++fof(fact_4061,axiom,(+ chea(fraternisieren_1_1,fraternisierung_1_1) )).++fof(fact_4062,axiom,(+ chea(freibleiben_1_1,freibleiben_2_1) )).++fof(fact_4063,axiom,(+ chea(freikommen_1_1,freikommen_2_1) )).++fof(fact_4064,axiom,(+ chea(freisetzen_1_1,freisetzen_2_1) )).++fof(fact_4065,axiom,(+ chea(freisetzen_1_1,freisetzung_1_1) )).++fof(fact_4066,axiom,(+ chea(freisprechen_1_1,freisprechen_2_1) )).++fof(fact_4067,axiom,(+ chea(freisprechen_1_1,freisprechung_1_1) )).++fof(fact_4068,axiom,(+ chea(fremdeln_1_1,fremdeln_2_1) )).++fof(fact_4069,axiom,(+ chea(fremdgehen_1_1,fremdgehen_2_1) )).++fof(fact_4070,axiom,(+ chea(frequentieren_1_1,auslastung_1_1) )).++fof(fact_4071,axiom,(+ chea(freunden_1_1,freunden_2_1) )).++fof(fact_4072,axiom,(+ chea(freunden_1_1,freundung_1_1) )).++fof(fact_4073,axiom,(+ chea(frischen_1_1,frischen_2_1) )).++fof(fact_4074,axiom,(+ chea(frischhalten_1_1,frischhalten_2_1) )).++fof(fact_4075,axiom,(+ chea(frischhalten_1_1,frischhaltung_1_1) )).++fof(fact_4076,axiom,(+ chea(fristen_1_1,fristen_2_1) )).++fof(fact_4077,axiom,(+ chea(fritieren_1_1,fritieren_2_1) )).++fof(fact_4078,axiom,(+ chea(frohlocken_1_1,frohlocken_2_1) )).++fof(fact_4079,axiom,(+ chea(frommen_1_1,frommen_2_1) )).++fof(fact_4080,axiom,(+ chea(frosten_1_1,frosten_2_1) )).++fof(fact_4081,axiom,(+ chea(frosten_1_1,frostung_1_1) )).++fof(fact_4082,axiom,(+ chea(fruchten_1_1,fruchten_2_1) )).++fof(fact_4083,axiom,(+ chea(fr__344sen_1_1,fr__344sen_2_1) )).++fof(fact_4084,axiom,(+ chea(fr__344sen_1_1,fr__344sung_1_1) )).++fof(fact_4085,axiom,(+ chea(fr__366mmeln_1_1,fr__366mmeln_2_1) )).++fof(fact_4086,axiom,(+ chea(fr__366steln_1_1,fr__366steln_2_1) )).++fof(fact_4087,axiom,(+ chea(fr__374hst__374cken_1_1,fr__374hst__374cken_2_1) )).++fof(fact_4088,axiom,(+ chea(fuchsen_1_1,fuchsen_2_1) )).++fof(fact_4089,axiom,(+ chea(fuchteln_1_1,fuchteln_2_1) )).++fof(fact_4090,axiom,(+ chea(fugen_1_1,fugen_2_1) )).++fof(fact_4091,axiom,(+ chea(fugen_1_1,fugung_1_1) )).++fof(fact_4092,axiom,(+ chea(fugen_1_1,synthese_1_1) )).++fof(fact_4093,axiom,(+ chea(fugen_1_1,verbinden_2_1) )).++fof(fact_4094,axiom,(+ chea(fundamentieren_1_1,fundamentieren_2_1) )).++fof(fact_4095,axiom,(+ chea(fundamentieren_1_1,fundamentierung_1_1) )).++fof(fact_4096,axiom,(+ chea(fundieren_1_1,fundation_1_1) )).++fof(fact_4097,axiom,(+ chea(fundieren_1_1,fundierung_1_1) )).++fof(fact_4098,axiom,(+ chea(funkeln_1_1,funkeln_2_1) )).++fof(fact_4099,axiom,(+ chea(funktionalisieren_1_1,funktionalisierung_1_1) )).++fof(fact_4100,axiom,(+ chea(furchen_1_1,furchen_2_1) )).++fof(fact_4101,axiom,(+ chea(furchen_1_1,furchung_1_1) )).++fof(fact_4102,axiom,(+ chea(furzen_1_1,furzen_2_1) )).++fof(fact_4103,axiom,(+ chea(fusionieren_1_1,fusionierung_1_1) )).++fof(fact_4104,axiom,(+ chea(fusionieren_1_2,fusionierung_1_2) )).++fof(fact_4105,axiom,(+ chea(fusseln_1_1,fusseln_2_1) )).++fof(fact_4106,axiom,(+ chea(f__344cheln_1_1,f__344cheln_2_1) )).++fof(fact_4107,axiom,(+ chea(f__344deln_1_1,schn__374ren_2_1) )).++fof(fact_4108,axiom,(+ chea(f__344deln_1_1,schn__374rung_1_1) )).++fof(fact_4109,axiom,(+ chea(f__344llen_1_1,kahlschlag_1_1) )).++fof(fact_4110,axiom,(+ chea(f__344llen_1_1,roden_2_1) )).++fof(fact_4111,axiom,(+ chea(f__344lschen_1_1,f__344lschen_2_1) )).++fof(fact_4112,axiom,(+ chea(f__344lteln_1_1,zusammenfalten_2_1) )).++fof(fact_4113,axiom,(+ chea(f__344rben_1_2,f__344rbung_1_1) )).++fof(fact_4114,axiom,(+ chea(f__366deralisieren_1_1,f__366deralisierung_1_1) )).++fof(fact_4115,axiom,(+ chea(f__366derieren_1_1,allianz_1_1) )).++fof(fact_4116,axiom,(+ chea(f__366rdern_1_1,f__366rderung_2_1) )).++fof(fact_4117,axiom,(+ chea(f__366rdern_1_1,gewinnung_1_1) )).++fof(fact_4118,axiom,(+ chea(f__366rdern_1_2,f__366rderung_1_3) )).++fof(fact_4119,axiom,(+ chea(f__374gen_1_1,f__374gen_2_1) )).++fof(fact_4120,axiom,(+ chea(f__374gen_1_1,f__374gung_1_1) )).++fof(fact_4121,axiom,(+ chea(f__374hren_1_c,betrug_1_1) )).++fof(fact_4122,axiom,(+ chea(f__374hren_1_d,betrug_1_1) )).++fof(fact_4123,axiom,(+ chea(f__374hren_1_d,leimung_1_1) )).++fof(fact_4124,axiom,(+ chea(f__374llen_1_1,f__374llung_1_1) )).++fof(fact_4125,axiom,(+ chea(f__374llen_1_2,f__374llung_1_2) )).++fof(fact_4126,axiom,(+ chea(f__374llen_1_3,f__374llung_1_3) )).++fof(fact_4127,axiom,(+ chea(f__374rbitten_1_1,f__374rbitten_2_1) )).++fof(fact_4128,axiom,(+ chea(f__374silieren_1_1,f__374silieren_2_1) )).++fof(fact_4129,axiom,(+ chea(galoppieren_1_1,galoppieren_2_1) )).++fof(fact_4130,axiom,(+ chea(galvanisieren_1_1,galvanisation_1_1) )).++fof(fact_4131,axiom,(+ chea(galvanisieren_1_1,galvanisieren_2_1) )).++fof(fact_4132,axiom,(+ chea(galvanisieren_1_1,galvanisierung_1_1) )).++fof(fact_4133,axiom,(+ chea(galvanisieren_1_1,metallisation_1_1) )).++fof(fact_4134,axiom,(+ chea(galvanisieren_1_1,metallisierung_1_1) )).++fof(fact_4135,axiom,(+ chea(garen_1_1,garen_2_1) )).++fof(fact_4136,axiom,(+ chea(garen_1_1,garung_1_1) )).++fof(fact_4137,axiom,(+ chea(garen_1_1,g__344rung_1_1) )).++fof(fact_4138,axiom,(+ chea(gasen_1_1,gasen_2_1) )).++fof(fact_4139,axiom,(+ chea(gasen_1_1,gasung_1_1) )).++fof(fact_4140,axiom,(+ chea(gastieren_1_1,gastieren_2_1) )).++fof(fact_4141,axiom,(+ chea(gatten_1_1,gatten_2_1) )).++fof(fact_4142,axiom,(+ chea(gatten_1_1,gattung__1_1) )).++fof(fact_4143,axiom,(+ chea(gebaren_2_1,betragen_3_1) )).++fof(fact_4144,axiom,(+ chea(gebaren_2_1,gebarung_1_1) )).++fof(fact_4145,axiom,(+ chea(geben_1_2,gabe_1_2) )).++fof(fact_4146,axiom,(+ chea(geben_1_2,gebung_1_1) )).++fof(fact_4147,axiom,(+ chea(geb__344rden_1_1,geb__344rden_2_1) )).++fof(fact_4148,axiom,(+ chea(geb__344ren_1_1,geb__344ren_2_1) )).++fof(fact_4149,axiom,(+ chea(geb__344ren_1_1,geb__344rung_1_1) )).++fof(fact_4150,axiom,(+ chea(geb__374hren_1_1,geb__374hren_2_1) )).++fof(fact_4151,axiom,(+ chea(gefangenhalten_1_1,gefangenhaltung_1_1) )).++fof(fact_4152,axiom,(+ chea(gefrieren_1_1,gefrieren_2_1) )).++fof(fact_4153,axiom,(+ chea(gef__344hrden_1_1,gefaehrdung_1_1) )).++fof(fact_4154,axiom,(+ chea(gef__344hrden_1_1,gef__344hrden_2_1) )).++fof(fact_4155,axiom,(+ chea(gegenzeichnen_1_1,abzeichnung_1_1) )).++fof(fact_4156,axiom,(+ chea(gegenzeichnen_1_1,gegenzeichnen_2_1) )).++fof(fact_4157,axiom,(+ chea(gegen__374berstehen_1_1,gegen__374berstehen_2_1) )).++fof(fact_4158,axiom,(+ chea(geheimhalten_1_1,geheimhalten_2_1) )).++fof(fact_4159,axiom,(+ chea(geheimhalten_1_1,geheimhaltung_1_1) )).++fof(fact_4160,axiom,(+ chea(gehenlassen_1_1,gehenlassen_2_1) )).++fof(fact_4161,axiom,(+ chea(gehorchen_1_1,gehorchen_2_1) )).++fof(fact_4162,axiom,(+ chea(gehren_1_1,gehren_2_1) )).++fof(fact_4163,axiom,(+ chea(gehren_1_1,gehrung_1_1) )).++fof(fact_4164,axiom,(+ chea(geien_1_1,geien_2_1) )).++fof(fact_4165,axiom,(+ chea(geizen_1_1,geizen_2_1) )).++fof(fact_4166,axiom,(+ chea(geleiten_1_1,geleiten_2_1) )).++fof(fact_4167,axiom,(+ chea(gelieren_1_1,gelation_1_1) )).++fof(fact_4168,axiom,(+ chea(gelieren_1_1,gelieren_2_1) )).++fof(fact_4169,axiom,(+ chea(gelieren_1_1,gelierung_1_1) )).++fof(fact_4170,axiom,(+ chea(gelingen_1_1,gelingen_2_1) )).++fof(fact_4171,axiom,(+ chea(geltendmachen_1_1,aus__374bung_1_1) )).++fof(fact_4172,axiom,(+ chea(gel__374sten_1_1,gel__374sten_2_1) )).++fof(fact_4173,axiom,(+ chea(gemahnen_1_1,gemahnung_1_1) )).++fof(fact_4174,axiom,(+ chea(genehmigen_1_1,genehmigen_2_1) )).++fof(fact_4175,axiom,(+ chea(genehmigen_1_1,genehmigung_1_1) )).++fof(fact_4176,axiom,(+ chea(general__374berholen_1_1,general__374berholung_1_1) )).++fof(fact_4177,axiom,(+ chea(genesen_1_1,genesen_2_1) )).++fof(fact_4178,axiom,(+ chea(genesen_1_1,genesung_1_1) )).++fof(fact_4179,axiom,(+ chea(genesen_1_1,gesunden_2_1) )).++fof(fact_4180,axiom,(+ chea(genesen_1_1,gesundung_1_1) )).++fof(fact_4181,axiom,(+ chea(genieren_1_1,genieren_2_1) )).++fof(fact_4182,axiom,(+ chea(geradebiegen_1_1,geradebiegung_1_1) )).++fof(fact_4183,axiom,(+ chea(geraderichten_1_1,geraderichten_2_1) )).++fof(fact_4184,axiom,(+ chea(geraderichten_1_1,geraderichtung_1_1) )).++fof(fact_4185,axiom,(+ chea(geringachten_1_1,geringachtung_1_1) )).++fof(fact_4186,axiom,(+ chea(geringsch__344tzen_1_1,geringsch__344tzung_1_1) )).++fof(fact_4187,axiom,(+ chea(gerinnen_1_1,gerinnen_2_1) )).++fof(fact_4188,axiom,(+ chea(gerinnen_1_1,gerinnung_1_1) )).++fof(fact_4189,axiom,(+ chea(gerinnen_1_1,stockung_1_2) )).++fof(fact_4190,axiom,(+ chea(germanisieren_1_1,germanisation_1_1) )).++fof(fact_4191,axiom,(+ chea(germanisieren_1_1,germanisierung_1_1) )).++fof(fact_4192,axiom,(+ chea(gestalten_1_1,gestaltung_1_1) )).++fof(fact_4193,axiom,(+ chea(gestatten_1_2,zugestehen_2_1) )).++fof(fact_4194,axiom,(+ chea(gestatten_1_2,zugestehung_1_1) )).++fof(fact_4195,axiom,(+ chea(gestikulieren_1_1,gestikulation_1_1) )).++fof(fact_4196,axiom,(+ chea(gestikulieren_1_1,gestikulieren_2_1) )).++fof(fact_4197,axiom,(+ chea(gesundmachen_1_1,gesundmachung_1_1) )).++fof(fact_4198,axiom,(+ chea(gewahren_1_1,gewahren_2_1) )).++fof(fact_4199,axiom,(+ chea(gewahren_1_1,innewerden_2_1) )).++fof(fact_4200,axiom,(+ chea(gewichten_1_1,gewichten_2_1) )).++fof(fact_4201,axiom,(+ chea(gewichten_1_1,gewichtung_1_1) )).++fof(fact_4202,axiom,(+ chea(gew__344hren_1_1,gew__344hren_2_1) )).++fof(fact_4203,axiom,(+ chea(gew__344hren_1_1,gew__344hrung_1_1) )).++fof(fact_4204,axiom,(+ chea(gew__344hren_1_1,lizensierung_1_1) )).++fof(fact_4205,axiom,(+ chea(gew__344hren_1_1,lizenzieren_2_1) )).++fof(fact_4206,axiom,(+ chea(gew__344hren_1_1,lizenzierung_1_1) )).++fof(fact_4207,axiom,(+ chea(gew__344hrleisten_1_1,gew__344hrleistung_1_1) )).++fof(fact_4208,axiom,(+ chea(gew__344hrleisten_1_1,sicherstellung_1_2) )).++fof(fact_4209,axiom,(+ chea(gew__366hnen_1_1,gew__366hnung_1_1) )).++fof(fact_4210,axiom,(+ chea(ghettoisieren_1_1,ghettoisierung_1_1) )).++fof(fact_4211,axiom,(+ chea(gieren_1_1,gieren_2_1) )).++fof(fact_4212,axiom,(+ chea(giften_1_1,giften_2_1) )).++fof(fact_4213,axiom,(+ chea(giften_1_1,giftung_1_1) )).++fof(fact_4214,axiom,(+ chea(gilben_1_1,gilben_2_1) )).++fof(fact_4215,axiom,(+ chea(gipfeln_1_1,gipfeln_2_1) )).++fof(fact_4216,axiom,(+ chea(gleichbleiben_1_1,gleichbleiben_2_1) )).++fof(fact_4217,axiom,(+ chea(gleichbleiben_1_1,stagnation_1_1) )).++fof(fact_4218,axiom,(+ chea(gleichbleiben_1_1,stagnieren_2_1) )).++fof(fact_4219,axiom,(+ chea(gleichbleiben_1_1,stagnierung_1_1) )).++fof(fact_4220,axiom,(+ chea(gleichen_1_1,gleichen_2_1) )).++fof(fact_4221,axiom,(+ chea(gleichen_1_1,gleichung_1_1) )).++fof(fact_4222,axiom,(+ chea(gleichsetzen_1_1,emanzipation_1_1) )).++fof(fact_4223,axiom,(+ chea(gleichsetzen_1_1,gleichsetzen_2_1) )).++fof(fact_4224,axiom,(+ chea(gleichstellen_1_1,gleichstellung_1_1) )).++fof(fact_4225,axiom,(+ chea(gleiten_1_1,gleiten_2_1) )).++fof(fact_4226,axiom,(+ chea(glei__337en_1_1,glei__337en_2_1) )).++fof(fact_4227,axiom,(+ chea(glimmen_1_1,glimmen_2_1) )).++fof(fact_4228,axiom,(+ chea(glimmen_1_1,gl__374hen_2_1) )).++fof(fact_4229,axiom,(+ chea(glitschen_1_1,rutschen_2_1) )).++fof(fact_4230,axiom,(+ chea(glitschen_1_1,rutschung_1_1) )).++fof(fact_4231,axiom,(+ chea(globalisieren_1_1,globalisation_1_1) )).++fof(fact_4232,axiom,(+ chea(globalisieren_1_1,globalisieren_2_1) )).++fof(fact_4233,axiom,(+ chea(globalisieren_1_1,globalisierung__1_1) )).++fof(fact_4234,axiom,(+ chea(glorifizieren_1_1,apotheose_1_1) )).++fof(fact_4235,axiom,(+ chea(glorifizieren_1_1,glorifizierung_1_1) )).++fof(fact_4236,axiom,(+ chea(glorifizieren_1_1,idealisieren_2_1) )).++fof(fact_4237,axiom,(+ chea(glorifizieren_1_1,idealisierung_1_1) )).++fof(fact_4238,axiom,(+ chea(glossieren_1_1,glossieren_2_1) )).++fof(fact_4239,axiom,(+ chea(glossieren_1_1,glossierung_1_1) )).++fof(fact_4240,axiom,(+ chea(glotzen_1_1,glotzen_2_1) )).++fof(fact_4241,axiom,(+ chea(glotzen_1_1,starren_2_1) )).++fof(fact_4242,axiom,(+ chea(glucken_1_1,glucken_2_1) )).++fof(fact_4243,axiom,(+ chea(glucksen_1_1,glucksen_2_1) )).++fof(fact_4244,axiom,(+ chea(gl__374cken_1_1,gl__374cken_2_1) )).++fof(fact_4245,axiom,(+ chea(graben_1_2,ausgrabung_1_1) )).++fof(fact_4246,axiom,(+ chea(graduieren_1_1,graduation_1_1) )).++fof(fact_4247,axiom,(+ chea(graduieren_1_1,graduierung_1_1) )).++fof(fact_4248,axiom,(+ chea(granulieren_1_1,granulation_1_1) )).++fof(fact_4249,axiom,(+ chea(granulieren_1_1,granulieren_2_1) )).++fof(fact_4250,axiom,(+ chea(granulieren_1_1,granulierung_1_1) )).++fof(fact_4251,axiom,(+ chea(grapschen_1_1,grapschen_2_1) )).++fof(fact_4252,axiom,(+ chea(grasen_1_1,grasen_2_1) )).++fof(fact_4253,axiom,(+ chea(gratinieren_1_1,gratinieren_2_1) )).++fof(fact_4254,axiom,(+ chea(graulen_1_1,grausen_2_1) )).++fof(fact_4255,axiom,(+ chea(graulen_1_1,gruseln_2_1) )).++fof(fact_4256,axiom,(+ chea(grillen_1_1,grillen_2_1) )).++fof(fact_4257,axiom,(+ chea(grimassieren_1_1,grimassieren_2_1) )).++fof(fact_4258,axiom,(+ chea(grinsen_1_1,grinsen_2_1) )).++fof(fact_4259,axiom,(+ chea(grollen_1_1,grollen_2_1) )).++fof(fact_4260,axiom,(+ chea(grollen_1_1,knurren_2_1) )).++fof(fact_4261,axiom,(+ chea(gro__337schreiben_1_1,gro__337schreibung_1_1) )).++fof(fact_4262,axiom,(+ chea(grundieren_1_1,arrestgrund_1_1) )).++fof(fact_4263,axiom,(+ chea(grundieren_1_1,grundieren_2_1) )).++fof(fact_4264,axiom,(+ chea(gruppieren_1_1,gruppieren_2_1) )).++fof(fact_4265,axiom,(+ chea(gr__344tschen_1_1,gr__344tschen_2_1) )).++fof(fact_4266,axiom,(+ chea(gr__366len_1_1,gr__366len_2_1) )).++fof(fact_4267,axiom,(+ chea(gr__374beln_1_1,gr__374beln_2_1) )).++fof(fact_4268,axiom,(+ chea(gr__374ndeln_1_1,gr__374ndeln_2_1) )).++fof(fact_4269,axiom,(+ chea(gr__374nden_1_1,gruendung_1_1) )).++fof(fact_4270,axiom,(+ chea(gr__374nden_1_1,konstituierung_1_1) )).++fof(fact_4271,axiom,(+ chea(gr__374nen_1_1,gr__374nen_2_1) )).++fof(fact_4272,axiom,(+ chea(gr__374nen_1_1,gr__374nung_1_1) )).++fof(fact_4273,axiom,(+ chea(gr__374__337en_1_1,gr__374__337en_2_1) )).++fof(fact_4274,axiom,(+ chea(gr__374__337en_1_1,gr__374__337ung_1_1) )).++fof(fact_4275,axiom,(+ chea(gurgeln_1_1,gurgeln_2_1) )).++fof(fact_4276,axiom,(+ chea(gurgeln_1_1,s__344gen_2_1) )).++fof(fact_4277,axiom,(+ chea(gurren_1_1,gegurre_1_1) )).++fof(fact_4278,axiom,(+ chea(gurren_1_1,gurrung_1_1) )).++fof(fact_4279,axiom,(+ chea(gurten_1_1,gurten_2_1) )).++fof(fact_4280,axiom,(+ chea(gurten_1_1,gurtung_1_1) )).++fof(fact_4281,axiom,(+ chea(gutachten_2_1,gutachten_1_1) )).++fof(fact_4282,axiom,(+ chea(guthaben_2_1,guthaben_1_1) )).++fof(fact_4283,axiom,(+ chea(gutschreiben_1_1,gutschreibung_1_1) )).++fof(fact_4284,axiom,(+ chea(g__344hnen_1_1,g__344hnen_2_1) )).++fof(fact_4285,axiom,(+ chea(g__344hnen_1_1,g__344hnung_1_1) )).++fof(fact_4286,axiom,(+ chea(haben_1_1,gutschrift_1_1) )).++fof(fact_4287,axiom,(+ chea(habilitieren_1_1,habilitation_1_1) )).++fof(fact_4288,axiom,(+ chea(habilitieren_1_1,habilitierung_1_1) )).++fof(fact_4289,axiom,(+ chea(hacken_1_1,hacken_2_1) )).++fof(fact_4290,axiom,(+ chea(haften_1_1,haftbarkeit_1_1) )).++fof(fact_4291,axiom,(+ chea(haftenbleiben_1_1,haftenbleiben_2_1) )).++fof(fact_4292,axiom,(+ chea(hageln_1_1,hageln_2_1) )).++fof(fact_4293,axiom,(+ chea(haken_1_1,verhaken_2_1) )).++fof(fact_4294,axiom,(+ chea(haken_1_1,verhakung_1_1) )).++fof(fact_4295,axiom,(+ chea(halbieren_1_1,halbieren_2_1) )).++fof(fact_4296,axiom,(+ chea(halbieren_1_1,halbierung_1_1) )).++fof(fact_4297,axiom,(+ chea(halbieren_1_1,h__344lften_2_1) )).++fof(fact_4298,axiom,(+ chea(hallen_1_1,hall_1_1) )).++fof(fact_4299,axiom,(+ chea(hallen_1_1,hallen_2_1) )).++fof(fact_4300,axiom,(+ chea(halluzinieren_1_1,halluzination_1_1) )).++fof(fact_4301,axiom,(+ chea(halluzinieren_1_1,halluzinieren_2_1) )).++fof(fact_4302,axiom,(+ chea(halten_1_4,rechnung_1_3) )).++fof(fact_4303,axiom,(+ chea(haltmachen_1_1,haltmachen_2_1) )).++fof(fact_4304,axiom,(+ chea(hamstern_1_1,h__344ufeln_2_1) )).++fof(fact_4305,axiom,(+ chea(handarbeiten_1_1,handarbeiten_2_1) )).++fof(fact_4306,axiom,(+ chea(handarbeiten_1_1,stricken_2_1) )).++fof(fact_4307,axiom,(+ chea(handeln_1_1,gesch__344ft_1_2) )).++fof(fact_4308,axiom,(+ chea(handeln_2_1,arbeit_1_1) )).++fof(fact_4309,axiom,(+ chea(handeln_2_1,handeln_4_1) )).++fof(fact_4310,axiom,(+ chea(handeln_2_2,handlung_1_3) )).++fof(fact_4311,axiom,(+ chea(handhaben_1_1,handhaben_2_1) )).++fof(fact_4312,axiom,(+ chea(handhaben_1_1,handhabung_1_1) )).++fof(fact_4313,axiom,(+ chea(hangeln_1_1,hangeln_2_1) )).++fof(fact_4314,axiom,(+ chea(hanteln_1_1,hanteln_2_1) )).++fof(fact_4315,axiom,(+ chea(hantieren_1_1,hantieren_2_1) )).++fof(fact_4316,axiom,(+ chea(hantieren_1_1,hantierung_1_1) )).++fof(fact_4317,axiom,(+ chea(harken_1_1,harken_2_1) )).++fof(fact_4318,axiom,(+ chea(harken_1_1,rechung_1_1) )).++fof(fact_4319,axiom,(+ chea(harmonisieren_1_1,harmonisation_1_1) )).++fof(fact_4320,axiom,(+ chea(harmonisieren_1_1,harmonisieren_2_1) )).++fof(fact_4321,axiom,(+ chea(harmonisieren_1_1,harmonisierung_1_1) )).++fof(fact_4322,axiom,(+ chea(harpunieren_1_1,harpunieren_2_1) )).++fof(fact_4323,axiom,(+ chea(harzen_1_1,harzen_2_1) )).++fof(fact_4324,axiom,(+ chea(haschen_1_1,haschen_2_1) )).++fof(fact_4325,axiom,(+ chea(haspeln_1_1,haspeln_2_1) )).++fof(fact_4326,axiom,(+ chea(haspeln_1_1,verhaspeln_2_1) )).++fof(fact_4327,axiom,(+ chea(hasten_1_1,hasten_2_1) )).++fof(fact_4328,axiom,(+ chea(hauchen_1_1,hauchen_2_1) )).++fof(fact_4329,axiom,(+ chea(hausen_1_1,hausen_2_1) )).++fof(fact_4330,axiom,(+ chea(haushalten_1_1,arbeitsweise_1_1) )).++fof(fact_4331,axiom,(+ chea(haushalten_1_1,haushalten_2_1) )).++fof(fact_4332,axiom,(+ chea(haushalten_1_1,haushaltung_1_1) )).++fof(fact_4333,axiom,(+ chea(hausieren_1_1,hausieren_2_1) )).++fof(fact_4334,axiom,(+ chea(hebeln_1_1,hebeln_2_1) )).++fof(fact_4335,axiom,(+ chea(heben_1_1,heben_2_1) )).++fof(fact_4336,axiom,(+ chea(hecheln_1_1,aechzen_1_1) )).++fof(fact_4337,axiom,(+ chea(hecheln_1_1,hecheln_2_1) )).++fof(fact_4338,axiom,(+ chea(hecheln_1_1,r__366cheln_2_1) )).++fof(fact_4339,axiom,(+ chea(hecheln_1_1,schnauben_2_1) )).++fof(fact_4340,axiom,(+ chea(hecken_1_1,hecken_2_1) )).++fof(fact_4341,axiom,(+ chea(hehlen_1_1,hehlen_2_1) )).++fof(fact_4342,axiom,(+ chea(heilen_1_1,heilung_1_2) )).++fof(fact_4343,axiom,(+ chea(heilen_1_2,heilung_1_3) )).++fof(fact_4344,axiom,(+ chea(heilen_1_3,heilung_1_1) )).++fof(fact_4345,axiom,(+ chea(heilen_1_3,verheilen_2_1) )).++fof(fact_4346,axiom,(+ chea(heilen_1_3,verheilung_1_1) )).++fof(fact_4347,axiom,(+ chea(heilighalten_1_1,heilighaltung_1_1) )).++fof(fact_4348,axiom,(+ chea(heiligsprechen_1_1,heilig_sprechung_1_1) )).++fof(fact_4349,axiom,(+ chea(heimfahren_1_1,heimfahren_2_1) )).++fof(fact_4350,axiom,(+ chea(heimgehen_1_1,heimgehen_2_1) )).++fof(fact_4351,axiom,(+ chea(heimholen_1_1,heimholung_1_1) )).++fof(fact_4352,axiom,(+ chea(heimleuchten_1_1,heimleuchten_2_1) )).++fof(fact_4353,axiom,(+ chea(heimlichtun_1_1,heimlichtun_2_1) )).++fof(fact_4354,axiom,(+ chea(heimsuchen_1_1,heimsuchung_1_1) )).++fof(fact_4355,axiom,(+ chea(heimsuchen_1_2,heimsuchung_1_2) )).++fof(fact_4356,axiom,(+ chea(heimzahlen_1_1,heimzahlen_2_1) )).++fof(fact_4357,axiom,(+ chea(heimzahlen_1_1,heimzahlung_1_1) )).++fof(fact_4358,axiom,(+ chea(heizen_1_2,heizung_1_2) )).++fof(fact_4359,axiom,(+ chea(hei__337laufen_1_1,n374berheizen_2_1) )).++fof(fact_4360,axiom,(+ chea(hei__337laufen_1_1,n374berheizung_1_2) )).++fof(fact_4361,axiom,(+ chea(hei__337laufen_1_1,n374berhitzen_2_1) )).++fof(fact_4362,axiom,(+ chea(hei__337laufen_1_1,n374berhitzung_1_1) )).++fof(fact_4363,axiom,(+ chea(hellen_1_1,hellen_2_1) )).++fof(fact_4364,axiom,(+ chea(hellsehen_1_1,hellsehen_2_1) )).++fof(fact_4365,axiom,(+ chea(hemmen_1_1,hemmung_1_1) )).++fof(fact_4366,axiom,(+ chea(herablassen_2_1,herablassung_1_1) )).++fof(fact_4367,axiom,(+ chea(herablassen_2_1,herablassung_1_3) )).++fof(fact_4368,axiom,(+ chea(herabsetzen_1_1,dem__374tigung_1_1) )).++fof(fact_4369,axiom,(+ chea(herabsetzen_1_1,herabsetzen_2_1) )).++fof(fact_4370,axiom,(+ chea(herabstufen_1_1,degradierung_1_1) )).++fof(fact_4371,axiom,(+ chea(herabstufen_1_1,herabstufen_2_1) )).++fof(fact_4372,axiom,(+ chea(heranarbeiten_1_1,heranarbeiten_2_1) )).++fof(fact_4373,axiom,(+ chea(heranbilden_1_1,heranbildung_1_1) )).++fof(fact_4374,axiom,(+ chea(heranbilden_1_2,heranbildung_1_1) )).++fof(fact_4375,axiom,(+ chea(heranbringen_1_1,heranbringen_2_1) )).++fof(fact_4376,axiom,(+ chea(heranbringen_1_1,heranbringung_1_1) )).++fof(fact_4377,axiom,(+ chea(heranfahren_1_1,heranfahren_2_1) )).++fof(fact_4378,axiom,(+ chea(heranf__374hren_1_1,heranf__374hrung_1_1) )).++fof(fact_4379,axiom,(+ chea(herangehen_1_1,herangehen_2_1) )).++fof(fact_4380,axiom,(+ chea(heranreifen_1_1,heranreifen_2_1) )).++fof(fact_4381,axiom,(+ chea(heranreifen_1_1,heranreifung_1_1) )).++fof(fact_4382,axiom,(+ chea(heranr__374cken_1_1,heranr__374cken_2_1) )).++fof(fact_4383,axiom,(+ chea(heranschaffen_1_1,heranschaffen_2_1) )).++fof(fact_4384,axiom,(+ chea(herantasten_1_1,herantasten_2_1) )).++fof(fact_4385,axiom,(+ chea(heranwachsen_1_1,heranwachsen_2_1) )).++fof(fact_4386,axiom,(+ chea(heranziehen_1_1,heranziehung_1_1) )).++fof(fact_4387,axiom,(+ chea(heraufbeschw__366ren_1_1,heraufbeschw__366ren_2_1) )).++fof(fact_4388,axiom,(+ chea(heraufbeschw__366ren_1_1,heraufbeschw__366rung_1_1) )).++fof(fact_4389,axiom,(+ chea(heraufsetzen_1_1,heraufsetzen_2_1) )).++fof(fact_4390,axiom,(+ chea(heraufsetzen_1_1,heraufsetzung_1_1) )).++fof(fact_4391,axiom,(+ chea(heraufziehen_1_1,heraufziehen_2_1) )).++fof(fact_4392,axiom,(+ chea(herausarbeiten_1_1,herausarbeitung_1_1) )).++fof(fact_4393,axiom,(+ chea(herausbringen_1_1,herausbringen_2_1) )).++fof(fact_4394,axiom,(+ chea(herausbringen_1_1,herausbringung_1_1) )).++fof(fact_4395,axiom,(+ chea(herausbringen_1_1,herausgeben_2_1) )).++fof(fact_4396,axiom,(+ chea(herausdrehen_1_1,herausdrehen_2_1) )).++fof(fact_4397,axiom,(+ chea(herausfallen_1_1,herausfallen_2_1) )).++fof(fact_4398,axiom,(+ chea(herausfordern_1_2,herausforderung_1_2) )).++fof(fact_4399,axiom,(+ chea(herausgehen_1_1,herausgehen_2_1) )).++fof(fact_4400,axiom,(+ chea(herausgreifen_1_1,herausgreifen_2_1) )).++fof(fact_4401,axiom,(+ chea(heraushalten_1_1,heraushalten_2_1) )).++fof(fact_4402,axiom,(+ chea(heraush__344ngen_1_1,heraush__344ngen_2_1) )).++fof(fact_4403,axiom,(+ chea(herauskommen_1_3,herausspringen_2_1) )).++fof(fact_4404,axiom,(+ chea(herauskristallisieren_1_1,herauskristallisierung_1_1) )).++fof(fact_4405,axiom,(+ chea(herauslesen_1_1,herauslesen_2_1) )).++fof(fact_4406,axiom,(+ chea(herausl__366sen_1_1,herausl__366sung_1_1) )).++fof(fact_4407,axiom,(+ chea(herausl__366sen_1_2,herausl__366sung_1_1) )).++fof(fact_4408,axiom,(+ chea(herausrei__337en_1_1,herausrei__337en_2_1) )).++fof(fact_4409,axiom,(+ chea(herauswachsen_1_1,herauswachsen_2_1) )).++fof(fact_4410,axiom,(+ chea(herausziehen_1_1,herausziehen_2_1) )).++fof(fact_4411,axiom,(+ chea(herbeif__374hren_1_1,herbeif__374hren_2_1) )).++fof(fact_4412,axiom,(+ chea(herbeirufen_1_1,herbeirufen_2_1) )).++fof(fact_4413,axiom,(+ chea(herbeirufen_1_1,herbeirufung_1_1) )).++fof(fact_4414,axiom,(+ chea(herbeischaffen_1_1,herbeischaffen_2_1) )).++fof(fact_4415,axiom,(+ chea(herbeischaffen_1_1,herbeischaffung_1_1) )).++fof(fact_4416,axiom,(+ chea(herbergen_1_1,herbergen_2_1) )).++fof(fact_4417,axiom,(+ chea(herbringen_1_1,mitbringen_2_1) )).++fof(fact_4418,axiom,(+ chea(hereinholen_1_1,hereinholen_2_1) )).++fof(fact_4419,axiom,(+ chea(hereinspazieren_1_1,hereinspazieren_2_1) )).++fof(fact_4420,axiom,(+ chea(herleiten_1_1,herleitung_1_1) )).++fof(fact_4421,axiom,(+ chea(heroisieren_1_1,heroisieren_2_1) )).++fof(fact_4422,axiom,(+ chea(heroisieren_1_1,heroisierung_1_1) )).++fof(fact_4423,axiom,(+ chea(herrschen_1_1,dominanz_1_1) )).++fof(fact_4424,axiom,(+ chea(herschauen_1_1,herschauen_2_1) )).++fof(fact_4425,axiom,(+ chea(herstellen_1_1,herstellung_1_1) )).++fof(fact_4426,axiom,(+ chea(herstellen_1_1,produzieren_2_1) )).++fof(fact_4427,axiom,(+ chea(herstellen_1_2,herstellung_1_2) )).++fof(fact_4428,axiom,(+ chea(herumliegen_1_1,herumliegen_2_1) )).++fof(fact_4429,axiom,(+ chea(herumlungern_1_1,herumlungern_2_1) )).++fof(fact_4430,axiom,(+ chea(herumsitzen_1_1,herumsitzen_2_1) )).++fof(fact_4431,axiom,(+ chea(herumstehen_1_1,herumstehen_2_1) )).++fof(fact_4432,axiom,(+ chea(herumtreiben_1_1,herumtreiben_2_1) )).++fof(fact_4433,axiom,(+ chea(herumwerfen_1_1,herumwerfen_2_1) )).++fof(fact_4434,axiom,(+ chea(herunterfallen_1_1,herunterfallen_2_1) )).++fof(fact_4435,axiom,(+ chea(herunterrei__337en_1_1,herunterrei__337en_2_1) )).++fof(fact_4436,axiom,(+ chea(herunterschalten_1_1,herunterschalten_2_1) )).++fof(fact_4437,axiom,(+ chea(herunterschalten_1_1,herunterschaltung_1_1) )).++fof(fact_4438,axiom,(+ chea(herunterziehen_1_1,herunterziehen_2_1) )).++fof(fact_4439,axiom,(+ chea(hervorbrechen_1_1,hervorbrechen_2_1) )).++fof(fact_4440,axiom,(+ chea(hervorbringen_1_1,herbeif__374hrung_1_1) )).++fof(fact_4441,axiom,(+ chea(hervorbringen_1_1,hervorbringen_2_1) )).++fof(fact_4442,axiom,(+ chea(hervorheben_1_1,hervorhebung_1_1) )).++fof(fact_4443,axiom,(+ chea(hervorholen_1_1,hervorholen_2_1) )).++fof(fact_4444,axiom,(+ chea(hervorkehren_1_1,hervorkehrung_1_1) )).++fof(fact_4445,axiom,(+ chea(hervorrufen_1_1,hervorrufen_2_1) )).++fof(fact_4446,axiom,(+ chea(hervorrufen_1_1,hervorrufung_1_1) )).++fof(fact_4447,axiom,(+ chea(hervorrufen_1_1,verursachen_2_1) )).++fof(fact_4448,axiom,(+ chea(hervorrufen_1_1,verursachung_1_1) )).++fof(fact_4449,axiom,(+ chea(herzen_1_1,herzen_2_1) )).++fof(fact_4450,axiom,(+ chea(heterogenisieren_1_1,heterogenisierung_1_1) )).++fof(fact_4451,axiom,(+ chea(heucheln_1_1,heucheln_2_1) )).++fof(fact_4452,axiom,(+ chea(heucheln_1_1,vorgaukeln_2_1) )).++fof(fact_4453,axiom,(+ chea(heuen_1_1,heuen_2_1) )).++fof(fact_4454,axiom,(+ chea(heulen_1_1,heulen_2_1) )).++fof(fact_4455,axiom,(+ chea(hexen_1_1,hexen_2_1) )).++fof(fact_4456,axiom,(+ chea(hierarchisieren_1_1,hierarchisierung_1_1) )).++fof(fact_4457,axiom,(+ chea(hierbleiben_1_1,hierbleiben_2_1) )).++fof(fact_4458,axiom,(+ chea(hiersein_1_1,hiersein_2_1) )).++fof(fact_4459,axiom,(+ chea(hinabsteigen_1_1,hinabsteigen_2_1) )).++fof(fact_4460,axiom,(+ chea(hinabtauchen_1_1,hinabtauchen_2_1) )).++fof(fact_4461,axiom,(+ chea(hinaufgehen_1_1,hinaufsteigen_2_1) )).++fof(fact_4462,axiom,(+ chea(hinaufziehen_1_1,hinaufziehen_2_1) )).++fof(fact_4463,axiom,(+ chea(hinausdr__344ngen_1_1,hinausdr__344ngen_2_1) )).++fof(fact_4464,axiom,(+ chea(hinauslaufen_1_1,zeitigung_1_1) )).++fof(fact_4465,axiom,(+ chea(hinausschieben_1_1,hinausschieben_2_1) )).++fof(fact_4466,axiom,(+ chea(hinausspringen_1_1,hinausspringen_2_1) )).++fof(fact_4467,axiom,(+ chea(hinausweisen_1_1,hinausweisung_1_1) )).++fof(fact_4468,axiom,(+ chea(hinauswerfen_1_1,hinauswerfen_2_1) )).++fof(fact_4469,axiom,(+ chea(hinauswerfen_1_1,rauswerfen_2_1) )).++fof(fact_4470,axiom,(+ chea(hinbekommen_1_1,hinkriegen_2_1) )).++fof(fact_4471,axiom,(+ chea(hindern_1_1,hinderung_1_1) )).++fof(fact_4472,axiom,(+ chea(hindern_1_2,hinderung_1_2) )).++fof(fact_4473,axiom,(+ chea(hineinfallen_1_1,hineinfallen_2_1) )).++fof(fact_4474,axiom,(+ chea(hineingreifen_1_1,hineingreifen_2_1) )).++fof(fact_4475,axiom,(+ chea(hineinschauen_1_1,hineinschauen_2_1) )).++fof(fact_4476,axiom,(+ chea(hineinstopfen_1_1,hineinstopfen_2_1) )).++fof(fact_4477,axiom,(+ chea(hineinversetzen_1_1,hineinversetzen_2_1) )).++fof(fact_4478,axiom,(+ chea(hineinwachsen_1_1,hineinwachsen_2_1) )).++fof(fact_4479,axiom,(+ chea(hineinziehen_1_1,hineinziehen_2_1) )).++fof(fact_4480,axiom,(+ chea(hinfallen_1_1,hinfallen_2_1) )).++fof(fact_4481,axiom,(+ chea(hinf__374hren_1_1,hinf__374hrung_1_1) )).++fof(fact_4482,axiom,(+ chea(hingeben_1_1,hingebung_1_1) )).++fof(fact_4483,axiom,(+ chea(hingeben_1_2,hingebung_1_2) )).++fof(fact_4484,axiom,(+ chea(hingehen_1_1,hingehen_2_1) )).++fof(fact_4485,axiom,(+ chea(hingucken_1_1,hingucken_2_1) )).++fof(fact_4486,axiom,(+ chea(hinh__366ren_1_1,hinh__366ren_2_1) )).++fof(fact_4487,axiom,(+ chea(hinh__366ren_1_1,lauschen_2_1) )).++fof(fact_4488,axiom,(+ chea(hinkommen_1_1,hinkommen_2_1) )).++fof(fact_4489,axiom,(+ chea(hinnehmen_1_1,hinnehmen_2_1) )).++fof(fact_4490,axiom,(+ chea(hinschauen_1_1,hinschauen_2_1) )).++fof(fact_4491,axiom,(+ chea(hinschauen_1_1,hinsehen_2_1) )).++fof(fact_4492,axiom,(+ chea(hinsetzen_1_1,hinsetzen_2_1) )).++fof(fact_4493,axiom,(+ chea(hinsiechen_1_1,hinsiechen_2_1) )).++fof(fact_4494,axiom,(+ chea(hinterfragen_1_1,hinterfragen_2_1) )).++fof(fact_4495,axiom,(+ chea(hinterfragen_1_1,hinterfragung_1_1) )).++fof(fact_4496,axiom,(+ chea(hintergehen_1_1,hintergehung_1_1) )).++fof(fact_4497,axiom,(+ chea(hinterlassen_1_1,hinterlassen_2_1) )).++fof(fact_4498,axiom,(+ chea(hinterlassen_1_1,hinterlassung_1_1) )).++fof(fact_4499,axiom,(+ chea(hinterlassen_1_1,zur__374cklassung_1_2) )).++fof(fact_4500,axiom,(+ chea(hintertreiben_1_1,hintertreiben_2_1) )).++fof(fact_4501,axiom,(+ chea(hintertreiben_1_1,hintertreibung_1_1) )).++fof(fact_4502,axiom,(+ chea(hinterziehen_1_1,hinterziehen_2_1) )).++fof(fact_4503,axiom,(+ chea(hinterziehen_1_1,hinterziehung_1_1) )).++fof(fact_4504,axiom,(+ chea(hinterziehen_1_1,veruntreuen_2_1) )).++fof(fact_4505,axiom,(+ chea(hinwegsetzen_1_1,hinwegsetzen_2_1) )).++fof(fact_4506,axiom,(+ chea(hinwegsetzen_1_1,hinwegsetzung_1_1) )).++fof(fact_4507,axiom,(+ chea(hinwenden_1_1,hinwenden_2_1) )).++fof(fact_4508,axiom,(+ chea(hinwenden_1_1,hinwendung_1_1) )).++fof(fact_4509,axiom,(+ chea(hinzuaddieren_1_1,hinzuaddieren_2_1) )).++fof(fact_4510,axiom,(+ chea(hinzuf__374gen_1_1,hinzuf__374gen_2_1) )).++fof(fact_4511,axiom,(+ chea(hinzuf__374gen_1_1,hinzuf__374gung_1_1) )).++fof(fact_4512,axiom,(+ chea(hinzugewinnen_1_1,hinzugewinnen_2_1) )).++fof(fact_4513,axiom,(+ chea(hinzugewinnen_1_1,hinzugewinnung_1_1) )).++fof(fact_4514,axiom,(+ chea(hinzurechnen_1_1,hinzurechnen_2_1) )).++fof(fact_4515,axiom,(+ chea(hinzurechnen_1_1,hinzurechnung_1_1) )).++fof(fact_4516,axiom,(+ chea(hinzuziehen_1_1,hinzuziehen_2_1) )).++fof(fact_4517,axiom,(+ chea(hinzuziehen_1_1,hinzuziehung_1_1) )).++fof(fact_4518,axiom,(+ chea(hin__374berwechseln_1_1,hin__374berwechseln_2_1) )).++fof(fact_4519,axiom,(+ chea(hissen_1_1,hissen_2_1) )).++fof(fact_4520,axiom,(+ chea(hissen_1_1,hissung_1_1) )).++fof(fact_4521,axiom,(+ chea(historisieren_1_1,historisieren_2_1) )).++fof(fact_4522,axiom,(+ chea(historisieren_1_1,historisierung_1_1) )).++fof(fact_4523,axiom,(+ chea(hobeln_1_1,hobeln_2_1) )).++fof(fact_4524,axiom,(+ chea(hochachten_1_1,hochachtung_1_1) )).++fof(fact_4525,axiom,(+ chea(hocharbeiten_1_1,hocharbeiten_2_1) )).++fof(fact_4526,axiom,(+ chea(hochbinden_1_1,hochbinden_2_1) )).++fof(fact_4527,axiom,(+ chea(hochdrehen_1_1,hochdrehen_2_1) )).++fof(fact_4528,axiom,(+ chea(hochheben_1_1,hochheben_2_1) )).++fof(fact_4529,axiom,(+ chea(hochheben_1_1,l__374pfen_2_1) )).++fof(fact_4530,axiom,(+ chea(hochheben_1_1,stemmen_2_1) )).++fof(fact_4531,axiom,(+ chea(hochlegen_1_1,hochlegen_2_1) )).++fof(fact_4532,axiom,(+ chea(hochlegen_1_1,hochlegung_1_1) )).++fof(fact_4533,axiom,(+ chea(hochrechnen_1_1,hochrechnen_2_1) )).++fof(fact_4534,axiom,(+ chea(hochschlagen_1_1,hochschlagen_2_1) )).++fof(fact_4535,axiom,(+ chea(hochsch__344tzen_1_1,hochsch__344tzung_1_1) )).++fof(fact_4536,axiom,(+ chea(hochspielen_1_1,hochspielen_2_1) )).++fof(fact_4537,axiom,(+ chea(hochspringen_1_1,hochspringen_2_1) )).++fof(fact_4538,axiom,(+ chea(hochstilisieren_1_1,hochstilisierung_1_1) )).++fof(fact_4539,axiom,(+ chea(hochstilisieren_1_1,stilisierung_1_1) )).++fof(fact_4540,axiom,(+ chea(hochstufen_1_1,hochstufung_1_1) )).++fof(fact_4541,axiom,(+ chea(hochtreiben_1_1,hochtreiben_2_1) )).++fof(fact_4542,axiom,(+ chea(hochwerfen_1_1,hochwerfen_2_1) )).++fof(fact_4543,axiom,(+ chea(hochziehen_1_1,hochziehen_2_1) )).++fof(fact_4544,axiom,(+ chea(hoffen_1_1,hoffen_2_1) )).++fof(fact_4545,axiom,(+ chea(hoffen_1_1,hoffung_1_1) )).++fof(fact_4546,axiom,(+ chea(hofhalten_1_1,hofhaltung_1_1) )).++fof(fact_4547,axiom,(+ chea(hofieren_1_1,hofieren_2_1) )).++fof(fact_4548,axiom,(+ chea(hofieren_1_1,hofierung_1_1) )).++fof(fact_4549,axiom,(+ chea(hofieren_1_1,umwerben_2_1) )).++fof(fact_4550,axiom,(+ chea(hofieren_1_1,umwerbung_1_1) )).++fof(fact_4551,axiom,(+ chea(hohnlachen_1_1,hohnlachen_2_1) )).++fof(fact_4552,axiom,(+ chea(holen_1_1,holen_2_1) )).++fof(fact_4553,axiom,(+ chea(holzen_1_1,holzen_2_1) )).++fof(fact_4554,axiom,(+ chea(holzen_1_1,holzung_1_1) )).++fof(fact_4555,axiom,(+ chea(homogenisieren_1_1,homogenisieren_2_1) )).++fof(fact_4556,axiom,(+ chea(homogenisieren_1_1,homogenisierung_1_1) )).++fof(fact_4557,axiom,(+ chea(honorieren_1_1,honoration_1_1) )).++fof(fact_4558,axiom,(+ chea(honorieren_1_1,honorierung_1_1) )).++fof(fact_4559,axiom,(+ chea(hoppeln_1_1,hupfen_2_1) )).++fof(fact_4560,axiom,(+ chea(hoppeln_1_1,h__374pfen_2_1) )).++fof(fact_4561,axiom,(+ chea(horchen_1_2,schlafen_2_1) )).++fof(fact_4562,axiom,(+ chea(hospitalisieren_1_1,hospitalisation_1_1) )).++fof(fact_4563,axiom,(+ chea(hospitalisieren_1_1,hospitalisierung_1_1) )).++fof(fact_4564,axiom,(+ chea(hospitieren_1_1,hospitation_1_1) )).++fof(fact_4565,axiom,(+ chea(huldigen_1_1,hommage_1_1) )).++fof(fact_4566,axiom,(+ chea(humanisieren_1_1,humanisation_1_1) )).++fof(fact_4567,axiom,(+ chea(humanisieren_1_1,humanisierung_1_1) )).++fof(fact_4568,axiom,(+ chea(humanisieren_1_1,vermenschlichung_1_1) )).++fof(fact_4569,axiom,(+ chea(humpeln_1_1,humpeln_2_1) )).++fof(fact_4570,axiom,(+ chea(humpeln_1_1,lahmen_2_1) )).++fof(fact_4571,axiom,(+ chea(hungern_2_1,sehnen_2_1) )).++fof(fact_4572,axiom,(+ chea(hunzen_1_1,hunzen_2_1) )).++fof(fact_4573,axiom,(+ chea(hupen_1_1,busen_1_1) )).++fof(fact_4574,axiom,(+ chea(huren_1_1,huren_2_1) )).++fof(fact_4575,axiom,(+ chea(huren_1_1,prostituierung_1_1) )).++fof(fact_4576,axiom,(+ chea(hydrieren_1_1,hydration_1_1) )).++fof(fact_4577,axiom,(+ chea(hydrieren_1_1,hydrieren_2_1) )).++fof(fact_4578,axiom,(+ chea(hydrieren_1_1,hydrierung_1_1) )).++fof(fact_4579,axiom,(+ chea(hypnotisieren_1_1,hypnotisieren_2_1) )).++fof(fact_4580,axiom,(+ chea(h__344keln_1_1,h__344keln_2_1) )).++fof(fact_4581,axiom,(+ chea(h__344ngenlassen_1_1,h__344ngenlassen_2_1) )).++fof(fact_4582,axiom,(+ chea(h__344tscheln_1_1,verw__366hnen_2_1) )).++fof(fact_4583,axiom,(+ chea(h__344tscheln_1_1,verw__366hnung_1_1) )).++fof(fact_4584,axiom,(+ chea(h__344ufen_1_1,akkumulation_1_1) )).++fof(fact_4585,axiom,(+ chea(h__344uten_1_1,haarwechsel_1_1) )).++fof(fact_4586,axiom,(+ chea(h__344uten_1_1,h__344uten_2_1) )).++fof(fact_4587,axiom,(+ chea(h__366hen_1_1,h__366hen_2_1) )).++fof(fact_4588,axiom,(+ chea(h__366hen_1_1,h__366hung_1_1) )).++fof(fact_4589,axiom,(+ chea(h__366herstufen_1_1,hochstufung_1_1) )).++fof(fact_4590,axiom,(+ chea(h__366hlen_1_1,h__366hlen_2_1) )).++fof(fact_4591,axiom,(+ chea(h__366hlen_1_1,h__366hlung_1_1) )).++fof(fact_4592,axiom,(+ chea(h__366rnen_1_1,h__366rnen_2_1) )).++fof(fact_4593,axiom,(+ chea(h__366rnen_1_1,h__366rnung_1_1) )).++fof(fact_4594,axiom,(+ chea(h__374llen_1_1,h__374llen_2_1) )).++fof(fact_4595,axiom,(+ chea(identifizieren_1_1,identifikation_1_2) )).++fof(fact_4596,axiom,(+ chea(ideologisieren_1_1,ideologisieren_2_1) )).++fof(fact_4597,axiom,(+ chea(ideologisieren_1_1,ideologisierung_1_1) )).++fof(fact_4598,axiom,(+ chea(idolisieren_1_1,idolisierung_1_1) )).++fof(fact_4599,axiom,(+ chea(ignorieren_1_1,ignorieren_2_1) )).++fof(fact_4600,axiom,(+ chea(ignorieren_1_1,ignorierung_1_1) )).++fof(fact_4601,axiom,(+ chea(imaginieren_1_1,einbildungskraft_1_1) )).++fof(fact_4602,axiom,(+ chea(imaginieren_1_1,imaginieren_2_1) )).++fof(fact_4603,axiom,(+ chea(immunisieren_1_1,immunisierung_1_1) )).++fof(fact_4604,axiom,(+ chea(impfen_1_1,impfen_2_1) )).++fof(fact_4605,axiom,(+ chea(impfen_1_1,impfung_1_1) )).++fof(fact_4606,axiom,(+ chea(implantieren_1_1,implantation_1_1) )).++fof(fact_4607,axiom,(+ chea(implantieren_1_1,implantierung_1_1) )).++fof(fact_4608,axiom,(+ chea(implementieren_1_1,implementation_1_1) )).++fof(fact_4609,axiom,(+ chea(implementieren_1_1,implementieren_2_1) )).++fof(fact_4610,axiom,(+ chea(improvisieren_1_1,improvisation_1_1) )).++fof(fact_4611,axiom,(+ chea(improvisieren_1_1,improvisieren_2_1) )).++fof(fact_4612,axiom,(+ chea(impr__344gnieren_1_1,impr__344gnation_1_1) )).++fof(fact_4613,axiom,(+ chea(impr__344gnieren_1_1,impr__344gnieren_2_1) )).++fof(fact_4614,axiom,(+ chea(impr__344gnieren_1_1,impr__344gnierung_1_1) )).++fof(fact_4615,axiom,(+ chea(inaktivieren_1_1,inaktivieren_2_1) )).++fof(fact_4616,axiom,(+ chea(inaktivieren_1_1,inaktivierung_1_1) )).++fof(fact_4617,axiom,(+ chea(inaugurieren_1_1,inauguration_1_1) )).++fof(fact_4618,axiom,(+ chea(inaugurieren_1_1,inaugurierung_1_1) )).++fof(fact_4619,axiom,(+ chea(indexieren_1_1,indexieren_2_1) )).++fof(fact_4620,axiom,(+ chea(indexieren_1_1,indexierung_1_1) )).++fof(fact_4621,axiom,(+ chea(indignieren_1_1,entr__374stung_1_1) )).++fof(fact_4622,axiom,(+ chea(individualisieren_1_1,individualisation_1_1) )).++fof(fact_4623,axiom,(+ chea(individualisieren_1_1,individualisieren_2_1) )).++fof(fact_4624,axiom,(+ chea(individualisieren_1_1,individualisierung_1_1) )).++fof(fact_4625,axiom,(+ chea(indizieren_1_1,indizieren_2_1) )).++fof(fact_4626,axiom,(+ chea(indizieren_1_1,indizierung_1_1) )).++fof(fact_4627,axiom,(+ chea(indoktrinieren_1_1,indoktrination_1_1) )).++fof(fact_4628,axiom,(+ chea(indoktrinieren_1_1,indoktrinierung_1_1) )).++fof(fact_4629,axiom,(+ chea(indossieren_1_1,indossierung_1_1) )).++fof(fact_4630,axiom,(+ chea(industrialisieren_1_1,industrialisation_1_1) )).++fof(fact_4631,axiom,(+ chea(industrialisieren_1_1,industrialisierung_1_1) )).++fof(fact_4632,axiom,(+ chea(induzieren_1_1,induzieren_2_1) )).++fof(fact_4633,axiom,(+ chea(induzieren_1_1,induzierung_1_1) )).++fof(fact_4634,axiom,(+ chea(informalisieren_1_1,informalisierung_1_1) )).++fof(fact_4635,axiom,(+ chea(informatisieren_1_1,informatisation_1_1) )).++fof(fact_4636,axiom,(+ chea(informatisieren_1_1,informatisierung_1_1) )).++fof(fact_4637,axiom,(+ chea(initialisieren_1_1,erweckung_1_1) )).++fof(fact_4638,axiom,(+ chea(inkarnieren_1_1,inkarnation_1_1) )).++fof(fact_4639,axiom,(+ chea(inklinieren_1_1,bahnneigung_1_1) )).++fof(fact_4640,axiom,(+ chea(inkriminieren_1_1,inkriminierung_1_1) )).++fof(fact_4641,axiom,(+ chea(innehaben_1_1,innehaben_2_1) )).++fof(fact_4642,axiom,(+ chea(innehaben_1_1,innehabung_1_1) )).++fof(fact_4643,axiom,(+ chea(innehalten_1_1,innehalten_2_1) )).++fof(fact_4644,axiom,(+ chea(innehalten_1_1,innehaltung_1_1) )).++fof(fact_4645,axiom,(+ chea(installieren_1_1,installieren_2_1) )).++fof(fact_4646,axiom,(+ chea(installieren_1_1,installierung_1_1) )).++fof(fact_4647,axiom,(+ chea(institutionalisieren_1_1,institutionalisierung_1_1) )).++fof(fact_4648,axiom,(+ chea(institutionalisieren_1_1,verankerung_1_1) )).++fof(fact_4649,axiom,(+ chea(instruieren_1_1,instruierung_1_1) )).++fof(fact_4650,axiom,(+ chea(instrumentalisieren_1_1,instrumentalisieren_2_1) )).++fof(fact_4651,axiom,(+ chea(instrumentalisieren_1_1,instrumentalisierung_1_1) )).++fof(fact_4652,axiom,(+ chea(instrumentieren_1_1,instrumentation_1_1) )).++fof(fact_4653,axiom,(+ chea(instrumentieren_1_1,instrumentieren_2_1) )).++fof(fact_4654,axiom,(+ chea(instrumentieren_1_1,instrumentierung_1_1) )).++fof(fact_4655,axiom,(+ chea(insultieren_1_1,insultation_1_1) )).++fof(fact_4656,axiom,(+ chea(insultieren_1_1,verunglimpfung_1_1) )).++fof(fact_4657,axiom,(+ chea(inszenieren_1_1,inszenieren_2_1) )).++fof(fact_4658,axiom,(+ chea(inszenieren_1_1,inszenierung_1_1) )).++fof(fact_4659,axiom,(+ chea(integrieren_1_1,integration_1_1) )).++fof(fact_4660,axiom,(+ chea(intensivieren_1_1,intensivierung_1_1) )).++fof(fact_4661,axiom,(+ chea(interagieren_1_1,interagieren_2_1) )).++fof(fact_4662,axiom,(+ chea(interferieren_1_1,interferieren_2_1) )).++fof(fact_4663,axiom,(+ chea(internalisieren_1_1,internalisieren_2_1) )).++fof(fact_4664,axiom,(+ chea(internalisieren_1_1,internalisierung_1_1) )).++fof(fact_4665,axiom,(+ chea(internalisieren_1_1,verinnerlichen_2_1) )).++fof(fact_4666,axiom,(+ chea(internalisieren_1_1,verinnerlichung_1_1) )).++fof(fact_4667,axiom,(+ chea(internationalisieren_1_1,globalisierung__1_1) )).++fof(fact_4668,axiom,(+ chea(internationalisieren_1_1,internationalisation_1_1) )).++fof(fact_4669,axiom,(+ chea(internationalisieren_1_1,internationalisieren_2_1) )).++fof(fact_4670,axiom,(+ chea(internieren_1_1,internation_1_1) )).++fof(fact_4671,axiom,(+ chea(internieren_1_1,internierung_1_1) )).++fof(fact_4672,axiom,(+ chea(interpellieren_1_1,interpellation_1_1) )).++fof(fact_4673,axiom,(+ chea(interpolieren_1_1,interpolation_1_1) )).++fof(fact_4674,axiom,(+ chea(interpolieren_1_1,interpolieren_2_1) )).++fof(fact_4675,axiom,(+ chea(intervenieren_1_1,intervenieren_2_1) )).++fof(fact_4676,axiom,(+ chea(intervenieren_1_1,intervenierung_1_1) )).++fof(fact_4677,axiom,(+ chea(interviewen_1_1,interviewen_2_1) )).++fof(fact_4678,axiom,(+ chea(inthronisieren_1_1,inthronisation_1_1) )).++fof(fact_4679,axiom,(+ chea(inthronisieren_1_1,inthronisierung_1_1) )).++fof(fact_4680,axiom,(+ chea(intrigieren_1_1,intrigieren_2_1) )).++fof(fact_4681,axiom,(+ chea(introduzieren_1_1,introduzierung_1_1) )).++fof(fact_4682,axiom,(+ chea(invalidieren_1_1,invalidieren_2_1) )).++fof(fact_4683,axiom,(+ chea(invalidisieren_1_1,invalidisierung_1_1) )).++fof(fact_4684,axiom,(+ chea(inventarisieren_1_1,inventarisation_1_1) )).++fof(fact_4685,axiom,(+ chea(inventarisieren_1_1,inventarisieren_2_1) )).++fof(fact_4686,axiom,(+ chea(inventarisieren_1_1,inventarisierung_1_1) )).++fof(fact_4687,axiom,(+ chea(inverkehrbringen_2_1,inverkehrbringen_1_1) )).++fof(fact_4688,axiom,(+ chea(inverkehrbringen_2_1,inverkehrbringung_1_1) )).++fof(fact_4689,axiom,(+ chea(invertieren_1_1,invertieren_2_1) )).++fof(fact_4690,axiom,(+ chea(invertieren_1_1,invertierung_1_1) )).++fof(fact_4691,axiom,(+ chea(involvieren_1_1,involvierung_1_1) )).++fof(fact_4692,axiom,(+ chea(ionisieren_1_1,ionisation_1_1) )).++fof(fact_4693,axiom,(+ chea(ironisieren_1_1,ironisierung_1_1) )).++fof(fact_4694,axiom,(+ chea(irren_1_3,irrung_1_1) )).++fof(fact_4695,axiom,(+ chea(irritieren_1_1,irritation_1_2) )).++fof(fact_4696,axiom,(+ chea(irrlichtern_1_1,irrlichtern_2_1) )).++fof(fact_4697,axiom,(+ chea(islamisieren_1_1,islamisierung_1_1) )).++fof(fact_4698,axiom,(+ chea(isolieren_1_1,isolation_1_2) )).++fof(fact_4699,axiom,(+ chea(jammern_1_1,lamentation_1_1) )).++fof(fact_4700,axiom,(+ chea(jammern_1_1,lamentieren_2_1) )).++fof(fact_4701,axiom,(+ chea(jassen_1_1,jassen_2_1) )).++fof(fact_4702,axiom,(+ chea(jauchzen_1_1,jauchzen_2_1) )).++fof(fact_4703,axiom,(+ chea(jaulen_1_1,jaulen_2_1) )).++fof(fact_4704,axiom,(+ chea(jausen_1_1,jausen_2_1) )).++fof(fact_4705,axiom,(+ chea(jobben_1_1,jobben_2_1) )).++fof(fact_4706,axiom,(+ chea(jochen_1_1,jochen_2_1) )).++fof(fact_4707,axiom,(+ chea(jodeln_1_1,jodeln_2_1) )).++fof(fact_4708,axiom,(+ chea(joggen_1_1,joggen_2_1) )).++fof(fact_4709,axiom,(+ chea(johlen_1_1,johlen_2_1) )).++fof(fact_4710,axiom,(+ chea(jonglieren_1_1,jonglieren_2_1) )).++fof(fact_4711,axiom,(+ chea(jubilieren_1_1,jubilation_1_1) )).++fof(fact_4712,axiom,(+ chea(juchzen_1_1,jauchzen_2_1) )).++fof(fact_4713,axiom,(+ chea(jungen_1_1,jungen_2_1) )).++fof(fact_4714,axiom,(+ chea(justieren_1_1,eichung_1_1) )).++fof(fact_4715,axiom,(+ chea(justieren_1_1,einstellen_3_1) )).++fof(fact_4716,axiom,(+ chea(justieren_1_1,justieren_2_1) )).++fof(fact_4717,axiom,(+ chea(justieren_1_1,justierung_1_1) )).++fof(fact_4718,axiom,(+ chea(justieren_1_1,kalibrieren_2_1) )).++fof(fact_4719,axiom,(+ chea(justieren_1_1,konfiguration_1_1) )).++fof(fact_4720,axiom,(+ chea(justieren_1_1,konfigurieren_2_1) )).++fof(fact_4721,axiom,(+ chea(justieren_1_1,konfigurierung_1_1) )).++fof(fact_4722,axiom,(+ chea(j__344hren_1_1,j__344hrung_1_1) )).++fof(fact_4723,axiom,(+ chea(j__344ten_1_1,j__344ten_2_1) )).++fof(fact_4724,axiom,(+ chea(kabeln_1_1,kabeln_2_1) )).++fof(fact_4725,axiom,(+ chea(kacken_1_1,kacken_2_1) )).++fof(fact_4726,axiom,(+ chea(kacken_1_1,schei__337en_2_1) )).++fof(fact_4727,axiom,(+ chea(kahlfressen_1_1,kahlfressen_2_1) )).++fof(fact_4728,axiom,(+ chea(kahlscheren_1_1,kahlscheren_2_1) )).++fof(fact_4729,axiom,(+ chea(kalauern_1_1,witzeln_2_1) )).++fof(fact_4730,axiom,(+ chea(kalben_1_1,kalben_2_1) )).++fof(fact_4731,axiom,(+ chea(kalben_1_1,kalbung_1_1) )).++fof(fact_4732,axiom,(+ chea(kalben_1_1,losbrechen_2_1) )).++fof(fact_4733,axiom,(+ chea(kalken_1_1,kalken_2_1) )).++fof(fact_4734,axiom,(+ chea(kalken_1_1,kalkung_1_1) )).++fof(fact_4735,axiom,(+ chea(kalkulieren_1_1,berechnung_1_1) )).++fof(fact_4736,axiom,(+ chea(kalkulieren_1_1,kalkulieren_2_1) )).++fof(fact_4737,axiom,(+ chea(kaltstellen_1_1,kaltstellen_2_1) )).++fof(fact_4738,axiom,(+ chea(kanalisieren_1_1,abwasserleitung_1_1) )).++fof(fact_4739,axiom,(+ chea(kanalisieren_1_1,kanalisieren_2_1) )).++fof(fact_4740,axiom,(+ chea(kanalisieren_1_1,kanalisierung_1_1) )).++fof(fact_4741,axiom,(+ chea(kandieren_1_1,kandieren_2_1) )).++fof(fact_4742,axiom,(+ chea(kandieren_1_1,kandierung_1_1) )).++fof(fact_4743,axiom,(+ chea(kanonieren_1_1,kanonieren_2_1) )).++fof(fact_4744,axiom,(+ chea(kanonisieren_1_1,heilig_sprechung_1_1) )).++fof(fact_4745,axiom,(+ chea(kanonisieren_1_1,kanonisation_1_1) )).++fof(fact_4746,axiom,(+ chea(kanonisieren_1_1,standardisation_1_1) )).++fof(fact_4747,axiom,(+ chea(kanonisieren_1_1,standardisierung_1_1) )).++fof(fact_4748,axiom,(+ chea(kanonisieren_1_1,vereinheitlichen_2_1) )).++fof(fact_4749,axiom,(+ chea(kanonisieren_1_1,vereinheitlichung_1_1) )).++fof(fact_4750,axiom,(+ chea(kanten_1_1,kanten_2_1) )).++fof(fact_4751,axiom,(+ chea(kanzeln_1_1,kanzeln_2_1) )).++fof(fact_4752,axiom,(+ chea(kapen_1_1,kapen_2_1) )).++fof(fact_4753,axiom,(+ chea(kapitalisieren_1_1,kapitalisierung_1_1) )).++fof(fact_4754,axiom,(+ chea(kapitulieren_1_1,kapitulation_1_1) )).++fof(fact_4755,axiom,(+ chea(kapitulieren_1_1,kapitulieren_2_1) )).++fof(fact_4756,axiom,(+ chea(kapseln_1_1,kapseln_2_1) )).++fof(fact_4757,axiom,(+ chea(kaputtgehen_1_1,kaputtgehen_2_1) )).++fof(fact_4758,axiom,(+ chea(karamelisieren_1_1,karamelisation_1_1) )).++fof(fact_4759,axiom,(+ chea(karamelisieren_1_1,karamelisieren_2_1) )).++fof(fact_4760,axiom,(+ chea(karamelisieren_1_1,karamelisierung_1_1) )).++fof(fact_4761,axiom,(+ chea(karbonisieren_1_1,karbonisation_1_1) )).++fof(fact_4762,axiom,(+ chea(karbonisieren_1_1,karbonisieren_2_1) )).++fof(fact_4763,axiom,(+ chea(karbonisieren_1_1,karbonisierung_1_1) )).++fof(fact_4764,axiom,(+ chea(karikieren_1_1,karikieren_2_1) )).++fof(fact_4765,axiom,(+ chea(karikieren_1_1,karikierung_1_1) )).++fof(fact_4766,axiom,(+ chea(karikieren_1_1,parodieren_2_1) )).++fof(fact_4767,axiom,(+ chea(karikieren_1_1,parodierung_1_1) )).++fof(fact_4768,axiom,(+ chea(karikieren_1_1,persiflierung_1_1) )).++fof(fact_4769,axiom,(+ chea(karren_1_1,kutschieren_2_1) )).++fof(fact_4770,axiom,(+ chea(karten_1_1,karten_2_1) )).++fof(fact_4771,axiom,(+ chea(karten_1_1,kartung_1_1) )).++fof(fact_4772,axiom,(+ chea(kaschieren_1_1,kaschieren_2_1) )).++fof(fact_4773,axiom,(+ chea(kaschieren_1_1,kaschierung_1_1) )).++fof(fact_4774,axiom,(+ chea(kassieren_1_1,kassation_1_1) )).++fof(fact_4775,axiom,(+ chea(kassieren_1_1,kassieren_2_1) )).++fof(fact_4776,axiom,(+ chea(kassieren_1_1,kassierung_1_1) )).++fof(fact_4777,axiom,(+ chea(kasteien_1_1,kasteien_2_1) )).++fof(fact_4778,axiom,(+ chea(kasteien_1_1,kasteiung_1_1) )).++fof(fact_4779,axiom,(+ chea(katalogisieren_1_1,katalogisieren_2_1) )).++fof(fact_4780,axiom,(+ chea(katalogisieren_1_1,katalogisierung_1_1) )).++fof(fact_4781,axiom,(+ chea(katalogisieren_1_1,kategorisierung_1_1) )).++fof(fact_4782,axiom,(+ chea(katalogisieren_1_1,klassifizieren_2_1) )).++fof(fact_4783,axiom,(+ chea(katalogisieren_1_1,rubrizierung_1_1) )).++fof(fact_4784,axiom,(+ chea(kategorisieren_1_1,kategorisieren_2_1) )).++fof(fact_4785,axiom,(+ chea(kategorisieren_1_1,kategorisierung_1_1) )).++fof(fact_4786,axiom,(+ chea(kategorisieren_1_1,typologisierung_1_1) )).++fof(fact_4787,axiom,(+ chea(katten_1_1,katten_2_1) )).++fof(fact_4788,axiom,(+ chea(kauen_1_1,kauen_2_1) )).++fof(fact_4789,axiom,(+ chea(kauterisieren_1_1,kauterisation_1_1) )).++fof(fact_4790,axiom,(+ chea(kauterisieren_1_1,kauterisieren_2_1) )).++fof(fact_4791,axiom,(+ chea(kauterisieren_1_1,kauterisierung_1_1) )).++fof(fact_4792,axiom,(+ chea(kegeln_1_1,kegeln_2_1) )).++fof(fact_4793,axiom,(+ chea(kehren_1_3,vertuschen_2_1) )).++fof(fact_4794,axiom,(+ chea(kehren_1_3,vertuschung_1_1) )).++fof(fact_4795,axiom,(+ chea(keifen_1_1,keifen_2_1) )).++fof(fact_4796,axiom,(+ chea(kennenlernen_1_1,kennenlernen_2_1) )).++fof(fact_4797,axiom,(+ chea(kennzeichnen_1_1,markierung_1_1) )).++fof(fact_4798,axiom,(+ chea(ketten_1_1,ketten__1_1) )).++fof(fact_4799,axiom,(+ chea(ketten_1_1,kettung_1_1) )).++fof(fact_4800,axiom,(+ chea(keulen_1_1,keulen_2_1) )).++fof(fact_4801,axiom,(+ chea(keulen_1_1,keulung_1_1) )).++fof(fact_4802,axiom,(+ chea(kicken_1_1,kicken_2_1) )).++fof(fact_4803,axiom,(+ chea(kiebitzen_1_1,kiebitzen_2_1) )).++fof(fact_4804,axiom,(+ chea(kippeln_1_1,kippeln_2_1) )).++fof(fact_4805,axiom,(+ chea(kitten_1_1,kitten_2_1) )).++fof(fact_4806,axiom,(+ chea(kitten_1_1,kittung_1_1) )).++fof(fact_4807,axiom,(+ chea(klacken_1_1,klacken_2_1) )).++fof(fact_4808,axiom,(+ chea(klaren_1_1,klaren_2_1) )).++fof(fact_4809,axiom,(+ chea(klarieren_1_1,klarieren_2_1) )).++fof(fact_4810,axiom,(+ chea(klarieren_1_1,klarierung_1_1) )).++fof(fact_4811,axiom,(+ chea(klarkommen_1_1,zurechtkommen_2_1) )).++fof(fact_4812,axiom,(+ chea(klarlegen_1_1,klarlegung_1_1) )).++fof(fact_4813,axiom,(+ chea(klarmachen_1_1,pr__344zisieren_2_1) )).++fof(fact_4814,axiom,(+ chea(klarmachen_1_1,pr__344zisierung_1_1) )).++fof(fact_4815,axiom,(+ chea(klassieren_1_1,klassieren_2_1) )).++fof(fact_4816,axiom,(+ chea(klassieren_1_1,klassierung_1_1) )).++fof(fact_4817,axiom,(+ chea(klatschen_1_3,prasseln_2_1) )).++fof(fact_4818,axiom,(+ chea(klauben_1_1,klauben_2_1) )).++fof(fact_4819,axiom,(+ chea(klecken_1_1,klecken_2_1) )).++fof(fact_4820,axiom,(+ chea(kleinschreiben_1_1,kleinschreibung_1_1) )).++fof(fact_4821,axiom,(+ chea(klicken_1_1,klicken_2_1) )).++fof(fact_4822,axiom,(+ chea(klimatisieren_1_1,klimatisieren_2_1) )).++fof(fact_4823,axiom,(+ chea(klimatisieren_1_1,klimatisierung_1_1) )).++fof(fact_4824,axiom,(+ chea(klingen_1_1,klingen_2_1) )).++fof(fact_4825,axiom,(+ chea(klingen_1_1,schallen_2_1) )).++fof(fact_4826,axiom,(+ chea(klinken_1_1,klinken_2_1) )).++fof(fact_4827,axiom,(+ chea(klirren_1_1,klirren_2_1) )).++fof(fact_4828,axiom,(+ chea(klotzen_1_1,klotzen_2_1) )).++fof(fact_4829,axiom,(+ chea(kl__344ffen_1_1,kl__344ffen_2_1) )).++fof(fact_4830,axiom,(+ chea(kl__344ren_1_1,kl__344rung_1_2) )).++fof(fact_4831,axiom,(+ chea(kl__344ren_1_2,kl__344rung_1_1) )).++fof(fact_4832,axiom,(+ chea(kl__366nen_1_1,kl__366nen_2_1) )).++fof(fact_4833,axiom,(+ chea(kl__366ppeln_1_1,kl__366ppeln_2_1) )).++fof(fact_4834,axiom,(+ chea(knacken_1_2,knacksen_2_1) )).++fof(fact_4835,axiom,(+ chea(knappen_1_1,knappen_2_1) )).++fof(fact_4836,axiom,(+ chea(knarren_1_1,knarren_2_1) )).++fof(fact_4837,axiom,(+ chea(knebeln_1_1,knebeln_2_1) )).++fof(fact_4838,axiom,(+ chea(knebeln_1_1,knebelung_1_1) )).++fof(fact_4839,axiom,(+ chea(knebeln_1_1,versklaven_2_1) )).++fof(fact_4840,axiom,(+ chea(knechten_1_1,knechtung_1_1) )).++fof(fact_4841,axiom,(+ chea(kneten_1_1,kneten_2_1) )).++fof(fact_4842,axiom,(+ chea(kneten_1_1,knetung_1_1) )).++fof(fact_4843,axiom,(+ chea(kneten_1_1,massieren_2_1) )).++fof(fact_4844,axiom,(+ chea(kneten_1_1,massierung_1_1) )).++fof(fact_4845,axiom,(+ chea(kneten_1_1,walken_2_1) )).++fof(fact_4846,axiom,(+ chea(kneten_1_1,walkung_1_1) )).++fof(fact_4847,axiom,(+ chea(knicken_1_1,knicken_2_1) )).++fof(fact_4848,axiom,(+ chea(knicken_1_1,knickung_1_1) )).++fof(fact_4849,axiom,(+ chea(knien_1_1,knien_2_1) )).++fof(fact_4850,axiom,(+ chea(knipsen_1_1,knipsen_2_1) )).++fof(fact_4851,axiom,(+ chea(knipsen_1_1,photographieren_2_1) )).++fof(fact_4852,axiom,(+ chea(knirschen_1_1,knirschen_2_1) )).++fof(fact_4853,axiom,(+ chea(knobeln_1_1,knobeln_2_1) )).++fof(fact_4854,axiom,(+ chea(knobeln_1_1,t__374fteln_2_1) )).++fof(fact_4855,axiom,(+ chea(knospen_1_1,knospen_2_1) )).++fof(fact_4856,axiom,(+ chea(knospen_1_1,knospung_1_1) )).++fof(fact_4857,axiom,(+ chea(knoten_2_1,knotung_1_1) )).++fof(fact_4858,axiom,(+ chea(knoten_2_1,verknoten_2_1) )).++fof(fact_4859,axiom,(+ chea(knoten_2_1,verknotung_1_1) )).++fof(fact_4860,axiom,(+ chea(kn__344ueln_1_1,kn__344ueln_2_1) )).++fof(fact_4861,axiom,(+ chea(kn__366pfen_1_1,kn__366pfen_2_1) )).++fof(fact_4862,axiom,(+ chea(kn__366pfen_1_1,kn__366pfung_1_1) )).++fof(fact_4863,axiom,(+ chea(kn__374ppeln_1_1,kn__374ppeln_2_1) )).++fof(fact_4864,axiom,(+ chea(kochen_1_1,sieden_2_1) )).++fof(fact_4865,axiom,(+ chea(kochen_1_1,siedung_1_1) )).++fof(fact_4866,axiom,(+ chea(koexistieren_1_1,koexistieren_2_1) )).++fof(fact_4867,axiom,(+ chea(kohlen_1_1,kohlung_1_1) )).++fof(fact_4868,axiom,(+ chea(kokettieren_1_1,kokettieren_2_1) )).++fof(fact_4869,axiom,(+ chea(kollabieren_1_1,kollabieren_2_1) )).++fof(fact_4870,axiom,(+ chea(kollaborieren_1_1,kollaboration_1_1) )).++fof(fact_4871,axiom,(+ chea(kollaborieren_1_1,kollaborieren_2_1) )).++fof(fact_4872,axiom,(+ chea(kollektivieren_1_1,enteignung_1_1) )).++fof(fact_4873,axiom,(+ chea(kollektivieren_1_1,verstaatlichen_2_1) )).++fof(fact_4874,axiom,(+ chea(kollern_1_1,kugeln_2_1) )).++fof(fact_4875,axiom,(+ chea(kollidieren_1_1,anprall_1_1) )).++fof(fact_4876,axiom,(+ chea(kolonialisieren_1_1,besiedlung_1_1) )).++fof(fact_4877,axiom,(+ chea(kolonialisieren_1_1,kolonialisation_1_1) )).++fof(fact_4878,axiom,(+ chea(kolonialisieren_1_1,kolonialisierung_1_1) )).++fof(fact_4879,axiom,(+ chea(kolportieren_1_1,kolportieren_2_1) )).++fof(fact_4880,axiom,(+ chea(kombinieren_1_1,kombination_1_1) )).++fof(fact_4881,axiom,(+ chea(kombinieren_1_1,kombinieren_2_1) )).++fof(fact_4882,axiom,(+ chea(kombinieren_1_1,kombinierung_1_1) )).++fof(fact_4883,axiom,(+ chea(kommandieren_1_1,kommandierung_1_1) )).++fof(fact_4884,axiom,(+ chea(kommandieren_1_2,kommandierung_1_2) )).++fof(fact_4885,axiom,(+ chea(kommentieren_1_1,kommentieren_2_1) )).++fof(fact_4886,axiom,(+ chea(kommentieren_1_1,kommentierung_1_1) )).++fof(fact_4887,axiom,(+ chea(kommerzialisieren_1_1,absatzf__366rderung_1_1) )).++fof(fact_4888,axiom,(+ chea(kommunalisieren_1_1,kommunalisierung_1_1) )).++fof(fact_4889,axiom,(+ chea(kommutieren_1_1,kommutation_1_1) )).++fof(fact_4890,axiom,(+ chea(kommutieren_1_1,kommutierung_1_1) )).++fof(fact_4891,axiom,(+ chea(kommutieren_1_1,permutation_1_1) )).++fof(fact_4892,axiom,(+ chea(kompilieren_1_1,kompilation_1_1) )).++fof(fact_4893,axiom,(+ chea(kompilieren_1_1,kompilieren_2_1) )).++fof(fact_4894,axiom,(+ chea(kompilieren_1_1,kompilierung_1_1) )).++fof(fact_4895,axiom,(+ chea(komplettieren_1_1,fertigstellung_1_1) )).++fof(fact_4896,axiom,(+ chea(komplettieren_1_1,vervollst__344ndigen_2_1) )).++fof(fact_4897,axiom,(+ chea(komplettieren_1_1,vervollst__344ndigung_1_1) )).++fof(fact_4898,axiom,(+ chea(komplizieren_1_1,komplizierung_1_1) )).++fof(fact_4899,axiom,(+ chea(komponieren_1_1,komponieren_2_1) )).++fof(fact_4900,axiom,(+ chea(kompostieren_1_1,kompostieren_2_1) )).++fof(fact_4901,axiom,(+ chea(kompostieren_1_1,kompostierung_1_1) )).++fof(fact_4902,axiom,(+ chea(komprimieren_1_1,komprimierung_1_1) )).++fof(fact_4903,axiom,(+ chea(komprimieren_1_2,komprimierung_1_2) )).++fof(fact_4904,axiom,(+ chea(konditionieren_1_1,gehirnw__344sche_1_1) )).++fof(fact_4905,axiom,(+ chea(konditionieren_1_1,konditionieren_2_1) )).++fof(fact_4906,axiom,(+ chea(konfektionieren_1_1,konfektionieren_2_1) )).++fof(fact_4907,axiom,(+ chea(konfektionieren_1_1,konfektionierung_1_1) )).++fof(fact_4908,axiom,(+ chea(konfirmieren_1_1,konfirmation_1_1) )).++fof(fact_4909,axiom,(+ chea(konfiszieren_1_1,konfiszieren_2_1) )).++fof(fact_4910,axiom,(+ chea(konfiszieren_1_1,konfiszierung_1_1) )).++fof(fact_4911,axiom,(+ chea(konfrontieren_1_1,gegen__374berstellung_1_1) )).++fof(fact_4912,axiom,(+ chea(konfrontieren_1_1,konfrontieren_2_1) )).++fof(fact_4913,axiom,(+ chea(konf__366derieren_1_1,allianz_1_1) )).++fof(fact_4914,axiom,(+ chea(konjugieren_1_1,beugung_1_1) )).++fof(fact_4915,axiom,(+ chea(konjugieren_1_1,konjugierung_1_1) )).++fof(fact_4916,axiom,(+ chea(konkretisieren_1_1,konkretisierung_1_1) )).++fof(fact_4917,axiom,(+ chea(konkretisieren_1_2,konkretisierung_1_2) )).++fof(fact_4918,axiom,(+ chea(konsentieren_1_1,konsentierung_1_1) )).++fof(fact_4919,axiom,(+ chea(konservieren_1_1,konservation_1_1) )).++fof(fact_4920,axiom,(+ chea(konservieren_1_1,konservieren_2_1) )).++fof(fact_4921,axiom,(+ chea(konservieren_1_1,konservierung_1_1) )).++fof(fact_4922,axiom,(+ chea(konsignieren_1_1,konsignation_1_1) )).++fof(fact_4923,axiom,(+ chea(konspirieren_1_1,intrige_1_1) )).++fof(fact_4924,axiom,(+ chea(konstatieren_1_1,konstatieren_2_1) )).++fof(fact_4925,axiom,(+ chea(konstatieren_1_1,konstatierung_1_1) )).++fof(fact_4926,axiom,(+ chea(konsternieren_1_1,konsternation_1_1) )).++fof(fact_4927,axiom,(+ chea(konsternieren_1_1,konsternierung_1_1) )).++fof(fact_4928,axiom,(+ chea(konstruieren_1_1,konstruieren_2_1) )).++fof(fact_4929,axiom,(+ chea(konstruieren_1_1,konstruierung_1_1) )).++fof(fact_4930,axiom,(+ chea(konsultieren_1_1,konsultation_1_1) )).++fof(fact_4931,axiom,(+ chea(konsultieren_1_1,konsultieren_2_1) )).++fof(fact_4932,axiom,(+ chea(konsultieren_1_1,konsultierung_1_1) )).++fof(fact_4933,axiom,(+ chea(konsumieren_1_1,einnahme_1_2) )).++fof(fact_4934,axiom,(+ chea(konsumieren_1_1,konsumation_1_1) )).++fof(fact_4935,axiom,(+ chea(konsumieren_1_1,konsumieren_2_1) )).++fof(fact_4936,axiom,(+ chea(konsumieren_1_1,verbrauchen_2_1) )).++fof(fact_4937,axiom,(+ chea(kontaktieren_1_1,kontaktieren_2_1) )).++fof(fact_4938,axiom,(+ chea(kontaktieren_1_1,kontaktierung_1_1) )).++fof(fact_4939,axiom,(+ chea(kontaminieren_1_1,kontamination_1_1) )).++fof(fact_4940,axiom,(+ chea(kontaminieren_1_1,kontaminierung_1_1) )).++fof(fact_4941,axiom,(+ chea(kontaminieren_1_1,verunreinigen_2_1) )).++fof(fact_4942,axiom,(+ chea(kontaminieren_1_1,verunreinigung_1_1) )).++fof(fact_4943,axiom,(+ chea(konterkarieren_1_1,manipulierung_1_1) )).++fof(fact_4944,axiom,(+ chea(kontextualisieren_1_1,kontextualisieren_2_1) )).++fof(fact_4945,axiom,(+ chea(kontextualisieren_1_1,kontextualisierung_1_1) )).++fof(fact_4946,axiom,(+ chea(kontieren_1_1,kontieren_2_1) )).++fof(fact_4947,axiom,(+ chea(kontieren_1_1,kontierung_1_1) )).++fof(fact_4948,axiom,(+ chea(kontingentieren_1_1,kontingentierung_1_1) )).++fof(fact_4949,axiom,(+ chea(kontrahieren_1_1,kontrahieren_2_1) )).++fof(fact_4950,axiom,(+ chea(kontrollieren_1_1,kontrollieren_2_1) )).++fof(fact_4951,axiom,(+ chea(konturieren_1_1,konturierung_1_1) )).++fof(fact_4952,axiom,(+ chea(konvergieren_1_1,zusammenlaufen_2_1) )).++fof(fact_4953,axiom,(+ chea(konversieren_1_1,gespraech_1_1) )).++fof(fact_4954,axiom,(+ chea(konvertieren_1_1,konvertieren_2_1) )).++fof(fact_4955,axiom,(+ chea(konvertieren_1_1,konvertierung_1_1) )).++fof(fact_4956,axiom,(+ chea(konvertieren_1_1,metamorphose_1_1) )).++fof(fact_4957,axiom,(+ chea(konvertieren_1_1,transformieren_2_1) )).++fof(fact_4958,axiom,(+ chea(konvertieren_1_1,transformierung_1_1) )).++fof(fact_4959,axiom,(+ chea(konzentrieren_2_1,focussierung_1_1) )).++fof(fact_4960,axiom,(+ chea(konzeptionieren_1_1,konzeptionierung_1_1) )).++fof(fact_4961,axiom,(+ chea(konzeptualisieren_1_1,konzeptionalisierung_1_1) )).++fof(fact_4962,axiom,(+ chea(konzeptualisieren_1_1,konzeptualisation_1_1) )).++fof(fact_4963,axiom,(+ chea(konzeptualisieren_1_1,konzeptualisierung_1_1) )).++fof(fact_4964,axiom,(+ chea(konzeptualisieren_1_1,konzipieren_2_1) )).++fof(fact_4965,axiom,(+ chea(konzeptualisieren_1_1,konzipierung_1_1) )).++fof(fact_4966,axiom,(+ chea(konzertieren_1_1,konzertation_1_1) )).++fof(fact_4967,axiom,(+ chea(konzertieren_1_1,konzertieren_2_1) )).++fof(fact_4968,axiom,(+ chea(konzertieren_1_1,konzertierung_1_1) )).++fof(fact_4969,axiom,(+ chea(konzessionieren_1_1,konzessionierung_1_1) )).++fof(fact_4970,axiom,(+ chea(kooperieren_1_1,kooperation_1_1) )).++fof(fact_4971,axiom,(+ chea(kooptieren_1_1,kooptation_1_1) )).++fof(fact_4972,axiom,(+ chea(kooptieren_1_1,kooptieren_2_1) )).++fof(fact_4973,axiom,(+ chea(kooptieren_1_1,kooptierung_1_1) )).++fof(fact_4974,axiom,(+ chea(koordinieren_1_1,koordination_1_1) )).++fof(fact_4975,axiom,(+ chea(koordinieren_1_1,koordinieren_2_1) )).++fof(fact_4976,axiom,(+ chea(kopfstehen_1_1,kopfstehen_2_1) )).++fof(fact_4977,axiom,(+ chea(kopieren_1_1,kopieren_2_1) )).++fof(fact_4978,axiom,(+ chea(kopieren_1_1,kopierung_1_1) )).++fof(fact_4979,axiom,(+ chea(koppeln_1_1,koppelung_1_1) )).++fof(fact_4980,axiom,(+ chea(koppeln_1_1,kuppeln_2_1) )).++fof(fact_4981,axiom,(+ chea(koppeln_1_2,koppelung_1_2) )).++fof(fact_4982,axiom,(+ chea(koppeln_1_2,korrelation_1_1) )).++fof(fact_4983,axiom,(+ chea(koppeln_1_2,korrelieren_2_1) )).++fof(fact_4984,axiom,(+ chea(korken_2_1,verkorken_2_1) )).++fof(fact_4985,axiom,(+ chea(korken_2_1,verkorkung_1_1) )).++fof(fact_4986,axiom,(+ chea(korrigieren_1_1,korrigieren_2_1) )).++fof(fact_4987,axiom,(+ chea(korrigieren_1_1,korrigierung_1_1) )).++fof(fact_4988,axiom,(+ chea(kosen_1_1,kosen_2_1) )).++fof(fact_4989,axiom,(+ chea(kosen_1_1,kuscheln_2_1) )).++fof(fact_4990,axiom,(+ chea(kosen_1_1,liebkosen_2_1) )).++fof(fact_4991,axiom,(+ chea(kosen_1_1,liebkosung_1_1) )).++fof(fact_4992,axiom,(+ chea(kosen_1_1,schmiegen_2_1) )).++fof(fact_4993,axiom,(+ chea(kosen_1_1,schmusen_2_1) )).++fof(fact_4994,axiom,(+ chea(kosen_1_1,streicheln_2_1) )).++fof(fact_4995,axiom,(+ chea(kost__374mieren_1_1,kost__374mieren_2_1) )).++fof(fact_4996,axiom,(+ chea(kost__374mieren_1_1,kost__374mierung_1_1) )).++fof(fact_4997,axiom,(+ chea(kotieren_1_1,kotierung_1_1) )).++fof(fact_4998,axiom,(+ chea(krabbeln_1_1,krabbeln_2_1) )).++fof(fact_4999,axiom,(+ chea(krabben_1_1,krabben_2_1) )).++fof(fact_5000,axiom,(+ chea(krakeelen_1_1,kr__344hen_2_1) )).++fof(fact_5001,axiom,(+ chea(krakeln_1_1,krakeln_2_1) )).++fof(fact_5002,axiom,(+ chea(krakeln_1_1,kritzeln_2_1) )).++fof(fact_5003,axiom,(+ chea(krallen_1_1,krallen_2_1) )).++fof(fact_5004,axiom,(+ chea(kramen_1_1,kramen_2_1) )).++fof(fact_5005,axiom,(+ chea(krampen_1_1,krampen_2_1) )).++fof(fact_5006,axiom,(+ chea(krampfen_1_1,spasmus_1_1) )).++fof(fact_5007,axiom,(+ chea(krampfen_1_1,verkrampfen_2_1) )).++fof(fact_5008,axiom,(+ chea(krampfen_1_1,verspannen_2_1) )).++fof(fact_5009,axiom,(+ chea(krampfen_1_1,verspannung_1_1) )).++fof(fact_5010,axiom,(+ chea(kranen_1_1,kranen_2_1) )).++fof(fact_5011,axiom,(+ chea(kranken_1_1,kranken_2_1) )).++fof(fact_5012,axiom,(+ chea(kranklachen_1_1,kranklachen_2_1) )).++fof(fact_5013,axiom,(+ chea(kraulen_1_1,kraulen_2_1) )).++fof(fact_5014,axiom,(+ chea(krebsen_1_1,krebsen_2_1) )).++fof(fact_5015,axiom,(+ chea(kreiden_1_1,kreiden_2_1) )).++fof(fact_5016,axiom,(+ chea(kreiden_1_1,kreidung_1_1) )).++fof(fact_5017,axiom,(+ chea(kreieren_1_1,erschaffung_1_1) )).++fof(fact_5018,axiom,(+ chea(kreieren_1_1,kreieren_2_1) )).++fof(fact_5019,axiom,(+ chea(kreieren_1_1,kreierung_1_1) )).++fof(fact_5020,axiom,(+ chea(kreischen_1_1,kreischen_2_1) )).++fof(fact_5021,axiom,(+ chea(kreisen_1_1,kreisen_2_1) )).++fof(fact_5022,axiom,(+ chea(krempeln_1_1,krempeln_2_1) )).++fof(fact_5023,axiom,(+ chea(kreuzen_1_2,kreuzung_1_2) )).++fof(fact_5024,axiom,(+ chea(kreuzigen_1_1,kreuzigen_2_1) )).++fof(fact_5025,axiom,(+ chea(kreuzigen_1_1,kreuzigung_1_1) )).++fof(fact_5026,axiom,(+ chea(kribbeln_1_1,kribbeln_2_1) )).++fof(fact_5027,axiom,(+ chea(kriechen_1_1,kriechen_2_1) )).++fof(fact_5028,axiom,(+ chea(kriminalisieren_1_1,kriminalisierung_1_1) )).++fof(fact_5029,axiom,(+ chea(kristallisieren_1_1,kristallisation_1_1) )).++fof(fact_5030,axiom,(+ chea(kristallisieren_1_1,kristallisieren_2_1) )).++fof(fact_5031,axiom,(+ chea(kristallisieren_1_1,kristallisierung_1_1) )).++fof(fact_5032,axiom,(+ chea(krokieren_1_1,krokieren_2_1) )).++fof(fact_5033,axiom,(+ chea(krummnehmen_1_1,n374belnehmen_2_1) )).++fof(fact_5034,axiom,(+ chea(kr__344chzen_1_1,kr__344chzen_2_1) )).++fof(fact_5035,axiom,(+ chea(kr__344ftigen_1_1,kr__344ftigung_1_1) )).++fof(fact_5036,axiom,(+ chea(kr__344ftigen_1_1,st__344rkung_1_3) )).++fof(fact_5037,axiom,(+ chea(kr__344nken_1_1,kr__344nkung_1_1) )).++fof(fact_5038,axiom,(+ chea(kr__344useln_1_1,kr__344useln_2_1) )).++fof(fact_5039,axiom,(+ chea(kr__366nen_1_3,kr__366nung_1_3) )).++fof(fact_5040,axiom,(+ chea(kr__366pfen_1_1,kr__366pfen_2_1) )).++fof(fact_5041,axiom,(+ chea(kr__366pfen_1_1,kr__366pfung_1_1) )).++fof(fact_5042,axiom,(+ chea(kr__374mmen_1_1,kr__374mmen_2_1) )).++fof(fact_5043,axiom,(+ chea(kr__374mmen_1_1,kr__374mmung_1_1) )).++fof(fact_5044,axiom,(+ chea(kugelsto__337en_1_1,kugelsto__337en_2_1) )).++fof(fact_5045,axiom,(+ chea(kulminieren_1_1,akkumulation_1_1) )).++fof(fact_5046,axiom,(+ chea(kulminieren_1_1,kulminieren_2_1) )).++fof(fact_5047,axiom,(+ chea(kultivieren_1_1,kultivierung_1_1) )).++fof(fact_5048,axiom,(+ chea(kultivieren_1_2,kultivierung_1_2) )).++fof(fact_5049,axiom,(+ chea(kultivieren_1_2,urbarisierung_1_1) )).++fof(fact_5050,axiom,(+ chea(kumulieren_1_1,kumulation_1_1) )).++fof(fact_5051,axiom,(+ chea(kumulieren_1_1,kumulieren_2_1) )).++fof(fact_5052,axiom,(+ chea(kumulieren_1_1,zusammenballung_1_1) )).++fof(fact_5053,axiom,(+ chea(kundmachen_1_1,kundmachen_2_1) )).++fof(fact_5054,axiom,(+ chea(kundmachen_1_1,kundmachung_1_1) )).++fof(fact_5055,axiom,(+ chea(kurbeln_1_1,kurbeln_2_1) )).++fof(fact_5056,axiom,(+ chea(kurven_1_1,kurven_2_1) )).++fof(fact_5057,axiom,(+ chea(kurven_1_1,kurvung_1_1) )).++fof(fact_5058,axiom,(+ chea(kurzschlie__337en_1_1,kurzschlie__337en_2_1) )).++fof(fact_5059,axiom,(+ chea(kuschen_1_1,kuschen_2_1) )).++fof(fact_5060,axiom,(+ chea(kuvertieren_1_1,kuvertieren_2_1) )).++fof(fact_5061,axiom,(+ chea(kuvertieren_1_1,kuvertierung_1_1) )).++fof(fact_5062,axiom,(+ chea(k__344mmen_1_1,k__344mmen_2_1) )).++fof(fact_5063,axiom,(+ chea(k__344mmen_1_1,k__344mmung_1_1) )).++fof(fact_5064,axiom,(+ chea(k__344sen_1_1,k__344sen_2_1) )).++fof(fact_5065,axiom,(+ chea(k__366cheln_1_1,k__366cheln_2_1) )).++fof(fact_5066,axiom,(+ chea(k__366pfen_1_1,k__366pfen_2_1) )).++fof(fact_5067,axiom,(+ chea(k__366pfen_1_1,k__366pfung_1_1) )).++fof(fact_5068,axiom,(+ chea(k__366ren_1_1,k__366rung_1_1) )).++fof(fact_5069,axiom,(+ chea(k__366rnen_1_1,k__366rnen_2_1) )).++fof(fact_5070,axiom,(+ chea(k__366rnen_1_1,k__366rnung_1_1) )).++fof(fact_5071,axiom,(+ chea(k__374nden_1_1,k__374ndung_1_1) )).++fof(fact_5072,axiom,(+ chea(k__374ndigen_1_1,k__374ndigung_1_2) )).++fof(fact_5073,axiom,(+ chea(k__374ndigen_1_2,entlassung_1_1) )).++fof(fact_5074,axiom,(+ chea(k__374ren_1_1,k__374ren_2_1) )).++fof(fact_5075,axiom,(+ chea(k__374ren_1_1,k__374rung_1_1) )).++fof(fact_5076,axiom,(+ chea(k__374rzen_1_1,k__374rzen_2_1) )).++fof(fact_5077,axiom,(+ chea(k__374rzen_1_1,k__374rzung_1_1) )).++fof(fact_5078,axiom,(+ chea(k__374ssen_1_1,k__374ssen_2_1) )).++fof(fact_5079,axiom,(+ chea(laborieren_1_1,laborieren_2_1) )).++fof(fact_5080,axiom,(+ chea(laborieren_1_1,laborierung_1_1) )).++fof(fact_5081,axiom,(+ chea(lachen_1_2,spotten_2_1) )).++fof(fact_5082,axiom,(+ chea(lahmlegen_1_1,lahmlegen_2_1) )).++fof(fact_5083,axiom,(+ chea(lahmlegen_1_1,lahmlegung_1_1) )).++fof(fact_5084,axiom,(+ chea(laichen_1_1,laichen_2_1) )).++fof(fact_5085,axiom,(+ chea(laisieren_1_1,laisierung_1_1) )).++fof(fact_5086,axiom,(+ chea(laminieren_1_1,lamination_1_1) )).++fof(fact_5087,axiom,(+ chea(laminieren_1_1,laminieren_2_1) )).++fof(fact_5088,axiom,(+ chea(laminieren_1_1,laminierung_1_1) )).++fof(fact_5089,axiom,(+ chea(lancieren_1_1,lancieren_2_1) )).++fof(fact_5090,axiom,(+ chea(lancieren_1_1,lancierung_1_1) )).++fof(fact_5091,axiom,(+ chea(landen_1_2,landung_1_1) )).++fof(fact_5092,axiom,(+ chea(lasten_1_1,lasten_2_1) )).++fof(fact_5093,axiom,(+ chea(latschen_2_1,latschen_1_1) )).++fof(fact_5094,axiom,(+ chea(laufenlassen_1_1,laufenlassen_2_1) )).++fof(fact_5095,axiom,(+ chea(laugen_1_1,laugen_2_1) )).++fof(fact_5096,axiom,(+ chea(laugen_1_1,laugung_1_1) )).++fof(fact_5097,axiom,(+ chea(lausen_1_1,lausen_2_1) )).++fof(fact_5098,axiom,(+ chea(leben_2_1,leben_1_1) )).++fof(fact_5099,axiom,(+ chea(leben_2_5,wohnen_2_1) )).++fof(fact_5100,axiom,(+ chea(leben_2_5,wohnung_1_1) )).++fof(fact_5101,axiom,(+ chea(leckschlagen_1_1,leckschlagen_2_1) )).++fof(fact_5102,axiom,(+ chea(leeren_1_1,leerung_1_1) )).++fof(fact_5103,axiom,(+ chea(leeren_1_2,leerung_1_2) )).++fof(fact_5104,axiom,(+ chea(leerlaufen_1_1,leerlaufen_2_1) )).++fof(fact_5105,axiom,(+ chea(legalisieren_1_1,legalisation_1_1) )).++fof(fact_5106,axiom,(+ chea(legalisieren_1_1,legalisierung_1_1) )).++fof(fact_5107,axiom,(+ chea(legen_1_4,verlegung_1_2) )).++fof(fact_5108,axiom,(+ chea(legen_1_7,n374bervorteilung_1_1) )).++fof(fact_5109,axiom,(+ chea(legitimieren_1_1,legitimierung_1_1) )).++fof(fact_5110,axiom,(+ chea(lehnen_1_1,lehnen_2_1) )).++fof(fact_5111,axiom,(+ chea(lehnen_1_1,lehnung_1_1) )).++fof(fact_5112,axiom,(+ chea(lehren_1_1,lehren_2_1) )).++fof(fact_5113,axiom,(+ chea(leinen_1_1,leinen__1_1) )).++fof(fact_5114,axiom,(+ chea(leinen_1_1,leinung_1_1) )).++fof(fact_5115,axiom,(+ chea(leiten_1_1,leitung_1_3) )).++fof(fact_5116,axiom,(+ chea(lektorieren_1_1,lektorierung_1_1) )).++fof(fact_5117,axiom,(+ chea(lenken_1_1,lenken_2_1) )).++fof(fact_5118,axiom,(+ chea(lenken_1_1,lenkung_1_1) )).++fof(fact_5119,axiom,(+ chea(lenzen_1_1,lenzen_2_1) )).++fof(fact_5120,axiom,(+ chea(lesen_1_1,lesung_1_1) )).++fof(fact_5121,axiom,(+ chea(leuchten_1_1,leuchten_2_1) )).++fof(fact_5122,axiom,(+ chea(leuchten_1_1,strahlen_2_1) )).++fof(fact_5123,axiom,(+ chea(lexikalisieren_1_1,lexikalisierung_1_1) )).++fof(fact_5124,axiom,(+ chea(liberalisieren_1_1,deregulation_1_1) )).++fof(fact_5125,axiom,(+ chea(liberalisieren_1_1,liberalisieren_2_1) )).++fof(fact_5126,axiom,(+ chea(lichten_1_1,lichtung_1_2) )).++fof(fact_5127,axiom,(+ chea(lieben_1_1,liebhaben_2_1) )).++fof(fact_5128,axiom,(+ chea(lieben_1_1,liebhabung_1_1) )).++fof(fact_5129,axiom,(+ chea(lieb__344ugeln_1_1,lieb__344ugeln_2_1) )).++fof(fact_5130,axiom,(+ chea(liefern_1_1,anlieferung_1_1) )).++fof(fact_5131,axiom,(+ chea(liegenbleiben_1_1,liegenbleiben_2_1) )).++fof(fact_5132,axiom,(+ chea(liegenlassen_1_1,liegenlassen_2_1) )).++fof(fact_5133,axiom,(+ chea(liften_1_1,liften_2_1) )).++fof(fact_5134,axiom,(+ chea(liften_1_1,liftung_1_1) )).++fof(fact_5135,axiom,(+ chea(ligieren_1_1,ligation_1_1) )).++fof(fact_5136,axiom,(+ chea(liieren_1_1,liierung_1_1) )).++fof(fact_5137,axiom,(+ chea(lindern_1_1,linderung_1_1) )).++fof(fact_5138,axiom,(+ chea(lindern_1_1,milderung_1_1) )).++fof(fact_5139,axiom,(+ chea(linieren_1_1,linierung_1_1) )).++fof(fact_5140,axiom,(+ chea(linsen_1_1,linsen_2_1) )).++fof(fact_5141,axiom,(+ chea(lispeln_1_1,lispeln_2_1) )).++fof(fact_5142,axiom,(+ chea(lithographieren_1_1,lithographieren_2_1) )).++fof(fact_5143,axiom,(+ chea(lobpreisen_1_1,eloge_1_1) )).++fof(fact_5144,axiom,(+ chea(lobpreisen_1_1,lobpreisen_2_1) )).++fof(fact_5145,axiom,(+ chea(lobsingen_1_1,lobsingen_2_1) )).++fof(fact_5146,axiom,(+ chea(lochen_1_1,lochen_2_1) )).++fof(fact_5147,axiom,(+ chea(lochen_1_1,lochung_1_1) )).++fof(fact_5148,axiom,(+ chea(lockerlassen_1_1,lockerlassen_2_1) )).++fof(fact_5149,axiom,(+ chea(logieren_1_1,residieren_2_1) )).++fof(fact_5150,axiom,(+ chea(lokalisieren_1_1,lokalisation_1_1) )).++fof(fact_5151,axiom,(+ chea(lokalisieren_1_1,lokalisieren_2_1) )).++fof(fact_5152,axiom,(+ chea(lokalisieren_1_1,lokalisierung_1_1) )).++fof(fact_5153,axiom,(+ chea(longieren_1_1,longieren_2_1) )).++fof(fact_5154,axiom,(+ chea(losbinden_1_1,losbindung_1_3) )).++fof(fact_5155,axiom,(+ chea(loseisen_1_1,loseisen_2_1) )).++fof(fact_5156,axiom,(+ chea(losfahren_1_1,losfahren_2_1) )).++fof(fact_5157,axiom,(+ chea(loskaufen_1_1,loskaufung_1_1) )).++fof(fact_5158,axiom,(+ chea(loslaufen_1_1,loslaufen_2_1) )).++fof(fact_5159,axiom,(+ chea(losmarschieren_1_1,losmarschieren_2_1) )).++fof(fact_5160,axiom,(+ chea(lossprechen_1_1,lossprechung_1_1) )).++fof(fact_5161,axiom,(+ chea(loswerden_1_1,loswerden_2_1) )).++fof(fact_5162,axiom,(+ chea(losziehen_1_1,losziehung_1_1) )).++fof(fact_5163,axiom,(+ chea(loten_1_1,lotung_1_1) )).++fof(fact_5164,axiom,(+ chea(lugen_1_1,lugen_2_1) )).++fof(fact_5165,axiom,(+ chea(lustrieren_1_1,lustration_1_1) )).++fof(fact_5166,axiom,(+ chea(lustwandeln_1_1,lustwandeln_2_1) )).++fof(fact_5167,axiom,(+ chea(lustwandeln_1_1,promenieren_2_1) )).++fof(fact_5168,axiom,(+ chea(lustwandeln_1_1,spazieren_3_1) )).++fof(fact_5169,axiom,(+ chea(lutschen_1_1,lutschen_2_1) )).++fof(fact_5170,axiom,(+ chea(luxieren_1_1,luxation_1_1) )).++fof(fact_5171,axiom,(+ chea(luxurieren_1_1,luxurieren_2_1) )).++fof(fact_5172,axiom,(+ chea(lynchen_1_1,lynchen_2_1) )).++fof(fact_5173,axiom,(+ chea(l__344dieren_1_1,l__344dierung_1_1) )).++fof(fact_5174,axiom,(+ chea(l__344rmen_1_1,l__344rmen_2_1) )).++fof(fact_5175,axiom,(+ chea(l__344stern_1_1,l__344sterung_1_1) )).++fof(fact_5176,axiom,(+ chea(l__366ffeln_1_1,l__366ffeln_2_1) )).++fof(fact_5177,axiom,(+ chea(l__366schen_1_1,l__366schen_2_1) )).++fof(fact_5178,axiom,(+ chea(l__366schen_1_1,l__366schung_1_1) )).++fof(fact_5179,axiom,(+ chea(l__366sen_1_3,l__366sung_1_2) )).++fof(fact_5180,axiom,(+ chea(l__366ten_1_1,l__366ten_2_1) )).++fof(fact_5181,axiom,(+ chea(l__366ten_1_1,l__366tstelle_1_1) )).++fof(fact_5182,axiom,(+ chea(magazinieren_1_1,magazinierung_1_1) )).++fof(fact_5183,axiom,(+ chea(magnetisieren_1_1,magnetisieren_2_1) )).++fof(fact_5184,axiom,(+ chea(magnetisieren_1_1,magnetisierung_1_1) )).++fof(fact_5185,axiom,(+ chea(mahlen_1_1,mahlen_2_1) )).++fof(fact_5186,axiom,(+ chea(mahlen_1_1,mahlung_1_1) )).++fof(fact_5187,axiom,(+ chea(mahnen_2_1,mahnung_1_2) )).++fof(fact_5188,axiom,(+ chea(maien_1_1,maien_2_1) )).++fof(fact_5189,axiom,(+ chea(makeln_1_1,makeln_2_1) )).++fof(fact_5190,axiom,(+ chea(makulieren_1_1,makulierung_1_1) )).++fof(fact_5191,axiom,(+ chea(malen_1_1,pinseln_2_1) )).++fof(fact_5192,axiom,(+ chea(malmen_1_1,malmen_2_1) )).++fof(fact_5193,axiom,(+ chea(malnehmen_1_1,multiplizieren_2_1) )).++fof(fact_5194,axiom,(+ chea(malnehmen_1_1,multiplizierung_1_1) )).++fof(fact_5195,axiom,(+ chea(mandatieren_1_1,mandatierung_1_1) )).++fof(fact_5196,axiom,(+ chea(manifestieren_1_1,ausformung_1_1) )).++fof(fact_5197,axiom,(+ chea(manifestieren_1_1,manifestierung_1_1) )).++fof(fact_5198,axiom,(+ chea(manipulieren_1_1,manipulation_1_1) )).++fof(fact_5199,axiom,(+ chea(manipulieren_1_1,manipulieren_2_1) )).++fof(fact_5200,axiom,(+ chea(manipulieren_1_1,manipulierung_1_1) )).++fof(fact_5201,axiom,(+ chea(mannen_1_1,mannen_2_1) )).++fof(fact_5202,axiom,(+ chea(mannen_1_1,mannung_1_1) )).++fof(fact_5203,axiom,(+ chea(manschen_1_1,manschen_2_1) )).++fof(fact_5204,axiom,(+ chea(manschen_1_1,matschen_2_1) )).++fof(fact_5205,axiom,(+ chea(man__366vrieren_1_1,man__366vrieren_2_1) )).++fof(fact_5206,axiom,(+ chea(man__366vrieren_1_1,man__366vrierung_1_1) )).++fof(fact_5207,axiom,(+ chea(marginalisieren_1_1,marginalisierung_1_1) )).++fof(fact_5208,axiom,(+ chea(marmorieren_1_1,marmorieren_2_1) )).++fof(fact_5209,axiom,(+ chea(marmorieren_1_1,marmorierung_1_1) )).++fof(fact_5210,axiom,(+ chea(marmorieren_1_1,masern__1_1) )).++fof(fact_5211,axiom,(+ chea(marodieren_1_1,marodieren_2_1) )).++fof(fact_5212,axiom,(+ chea(marschieren_1_1,marsch_1_1) )).++fof(fact_5213,axiom,(+ chea(martern_1_1,folter__1_1) )).++fof(fact_5214,axiom,(+ chea(maschineschreiben_1_1,maschinenschreiben_2_1) )).++fof(fact_5215,axiom,(+ chea(maskieren_1_1,maskieren_2_1) )).++fof(fact_5216,axiom,(+ chea(maskieren_1_1,maskierung_1_1) )).++fof(fact_5217,axiom,(+ chea(masturbieren_1_1,masturbation_1_1) )).++fof(fact_5218,axiom,(+ chea(masturbieren_1_1,masturbieren_2_1) )).++fof(fact_5219,axiom,(+ chea(masturbieren_1_1,onanieren_2_1) )).++fof(fact_5220,axiom,(+ chea(materialisieren_1_1,materialisation_1_1) )).++fof(fact_5221,axiom,(+ chea(materialisieren_1_1,materialisierung_1_1) )).++fof(fact_5222,axiom,(+ chea(mattieren_1_1,mattieren_2_1) )).++fof(fact_5223,axiom,(+ chea(mattieren_1_1,mattierung_1_1) )).++fof(fact_5224,axiom,(+ chea(maulen_1_1,maulen_2_1) )).++fof(fact_5225,axiom,(+ chea(maulen_1_1,murren_2_1) )).++fof(fact_5226,axiom,(+ chea(mausern_1_2,mauserung_1_1) )).++fof(fact_5227,axiom,(+ chea(maximieren_1_1,maximieren_2_1) )).++fof(fact_5228,axiom,(+ chea(maximieren_1_1,maximierung_1_1) )).++fof(fact_5229,axiom,(+ chea(ma__337halten_1_1,ma__337halten_2_1) )).++fof(fact_5230,axiom,(+ chea(ma__337halten_1_1,ma__337haltung_1_1) )).++fof(fact_5231,axiom,(+ chea(ma__337regeln_1_1,ma__337regeln_2_1) )).++fof(fact_5232,axiom,(+ chea(mechanisieren_1_1,mechanisieren_2_1) )).++fof(fact_5233,axiom,(+ chea(mechanisieren_1_1,mechanisierung_1_1) )).++fof(fact_5234,axiom,(+ chea(meckern_1_1,m__344keln_2_1) )).++fof(fact_5235,axiom,(+ chea(meckern_1_1,n__366rgeln_2_1) )).++fof(fact_5236,axiom,(+ chea(medialisieren_1_1,medialisierung_1_1) )).++fof(fact_5237,axiom,(+ chea(mediatisieren_1_1,mediatisierung_1_1) )).++fof(fact_5238,axiom,(+ chea(meditieren_1_1,meditation_1_1) )).++fof(fact_5239,axiom,(+ chea(meditieren_1_1,meditieren_2_1) )).++fof(fact_5240,axiom,(+ chea(mehren_1_1,mehren_2_1) )).++fof(fact_5241,axiom,(+ chea(mehren_1_1,mehrung_1_1) )).++fof(fact_5242,axiom,(+ chea(meiden_1_1,meiden_2_1) )).++fof(fact_5243,axiom,(+ chea(meiden_1_1,meidung_1_1) )).++fof(fact_5244,axiom,(+ chea(meistern_1_1,meisterung_1_1) )).++fof(fact_5245,axiom,(+ chea(melieren_1_1,melieren_2_1) )).++fof(fact_5246,axiom,(+ chea(meliorieren_1_1,melioration_1_1) )).++fof(fact_5247,axiom,(+ chea(melken_1_1,melken_2_1) )).++fof(fact_5248,axiom,(+ chea(memorieren_1_1,memorieren_2_1) )).++fof(fact_5249,axiom,(+ chea(menetekeln_1_1,unken_2_1) )).++fof(fact_5250,axiom,(+ chea(mengen_1_1,vermengen_2_1) )).++fof(fact_5251,axiom,(+ chea(mengen_1_1,vermengung_1_1) )).++fof(fact_5252,axiom,(+ chea(mengen_1_1,vermischen_2_1) )).++fof(fact_5253,axiom,(+ chea(mengen_1_1,vermischung_1_1) )).++fof(fact_5254,axiom,(+ chea(menstruieren_1_1,menstruation_1_1) )).++fof(fact_5255,axiom,(+ chea(menstruieren_1_1,menstruieren_2_1) )).++fof(fact_5256,axiom,(+ chea(mergeln_1_1,mergeln_2_1) )).++fof(fact_5257,axiom,(+ chea(merzen_1_1,merzen_2_1) )).++fof(fact_5258,axiom,(+ chea(merzen_1_1,merzung_1_1) )).++fof(fact_5259,axiom,(+ chea(messen_1_1,abmessen_2_1) )).++fof(fact_5260,axiom,(+ chea(messen_1_3,messung_1_2) )).++fof(fact_5261,axiom,(+ chea(metzen_1_1,metzen_2_1) )).++fof(fact_5262,axiom,(+ chea(mieten_1_1,mieten_2_1) )).++fof(fact_5263,axiom,(+ chea(mikroskopieren_1_1,mikroskopieren_2_1) )).++fof(fact_5264,axiom,(+ chea(milchen_1_1,milchen_2_1) )).++fof(fact_5265,axiom,(+ chea(mindern_1_1,beeintr__344chtigung_1_1) )).++fof(fact_5266,axiom,(+ chea(miniaturisieren_1_1,miniaturisierung_1_1) )).++fof(fact_5267,axiom,(+ chea(minieren_1_1,minieren_2_1) )).++fof(fact_5268,axiom,(+ chea(minimieren_1_1,minimieren_2_1) )).++fof(fact_5269,axiom,(+ chea(minimieren_1_1,minimierung_1_1) )).++fof(fact_5270,axiom,(+ chea(minnen_1_1,minnen_2_1) )).++fof(fact_5271,axiom,(+ chea(mischen_1_1,mischung_1_2) )).++fof(fact_5272,axiom,(+ chea(missen_1_1,missen_2_1) )).++fof(fact_5273,axiom,(+ chea(misten_1_1,misten_2_1) )).++fof(fact_5274,axiom,(+ chea(mitarbeiten_1_1,kooperation_1_1) )).++fof(fact_5275,axiom,(+ chea(mitarbeiten_1_1,mitarbeiten_2_1) )).++fof(fact_5276,axiom,(+ chea(mitarbeiten_1_1,zusammenarbeiten_2_1) )).++fof(fact_5277,axiom,(+ chea(mitarbeiten_1_1,zusammenarbeitung_1_1) )).++fof(fact_5278,axiom,(+ chea(mitbekommen_1_1,mitbekommen_2_1) )).++fof(fact_5279,axiom,(+ chea(mitbenutzen_1_1,mitbenutzen_2_1) )).++fof(fact_5280,axiom,(+ chea(mitbenutzen_1_1,mitbenutzung_1_1) )).++fof(fact_5281,axiom,(+ chea(mitben__374tzen_1_1,mitben__374tzung_1_1) )).++fof(fact_5282,axiom,(+ chea(mitber__374cksichtigen_1_1,mitber__374cksichtigung_1_1) )).++fof(fact_5283,axiom,(+ chea(mitbestimmen_1_1,mitbestimmen_2_1) )).++fof(fact_5284,axiom,(+ chea(mitbestimmen_1_1,mitbestimmung_1_1) )).++fof(fact_5285,axiom,(+ chea(mitbieten_1_1,mitbieten_2_1) )).++fof(fact_5286,axiom,(+ chea(mitdenken_1_1,mitdenken_2_1) )).++fof(fact_5287,axiom,(+ chea(mitentscheiden_1_1,mitentscheiden_2_1) )).++fof(fact_5288,axiom,(+ chea(miterleben_1_1,miterleben_2_1) )).++fof(fact_5289,axiom,(+ chea(mitfahren_1_1,mitfahren_2_1) )).++fof(fact_5290,axiom,(+ chea(mitfinanzieren_1_1,kofinanzierung_1_1) )).++fof(fact_5291,axiom,(+ chea(mitfliegen_1_1,mitfliegen_2_1) )).++fof(fact_5292,axiom,(+ chea(mitf__374hlen_1_1,mitf__374hlen_2_1) )).++fof(fact_5293,axiom,(+ chea(mitf__374hren_1_1,mitf__374hren_2_1) )).++fof(fact_5294,axiom,(+ chea(mitgeben_1_1,mitgeben_2_1) )).++fof(fact_5295,axiom,(+ chea(mitgestalten_1_1,mitgestalten_2_1) )).++fof(fact_5296,axiom,(+ chea(mitgestalten_1_1,mitgestaltung_1_1) )).++fof(fact_5297,axiom,(+ chea(mitgestalten_1_1,mittun_2_1) )).++fof(fact_5298,axiom,(+ chea(mithalten_1_1,mithalten_2_1) )).++fof(fact_5299,axiom,(+ chea(mithelfen_1_1,mithelfen_2_1) )).++fof(fact_5300,axiom,(+ chea(mith__366ren_1_1,mith__366ren_2_1) )).++fof(fact_5301,axiom,(+ chea(mitlaufen_1_1,mitlaufen_2_1) )).++fof(fact_5302,axiom,(+ chea(mitleiden_1_1,mitleiden_2_1) )).++fof(fact_5303,axiom,(+ chea(mitmachen_1_1,mitmachen_2_1) )).++fof(fact_5304,axiom,(+ chea(mitrechnen_1_1,mitz__344hlen_2_1) )).++fof(fact_5305,axiom,(+ chea(mitreden_1_1,mitreden_2_1) )).++fof(fact_5306,axiom,(+ chea(mitregieren_1_1,mitregieren_2_1) )).++fof(fact_5307,axiom,(+ chea(mitregieren_1_1,mitregierung_1_1) )).++fof(fact_5308,axiom,(+ chea(mitreisen_1_1,mitreisen_2_1) )).++fof(fact_5309,axiom,(+ chea(mitschneiden_1_1,mitschneiden_2_1) )).++fof(fact_5310,axiom,(+ chea(mitschwingen_1_1,mitschwingen_2_1) )).++fof(fact_5311,axiom,(+ chea(mitsingen_1_1,mitsingen_2_1) )).++fof(fact_5312,axiom,(+ chea(mitsprechen_1_1,mitsprechen_2_1) )).++fof(fact_5313,axiom,(+ chea(mitteilen_1_1,mitteilen_2_1) )).++fof(fact_5314,axiom,(+ chea(mitteilen_1_1,mitteilung_1_1) )).++fof(fact_5315,axiom,(+ chea(mittragen_1_1,mittragen_2_1) )).++fof(fact_5316,axiom,(+ chea(mitwirken_1_1,assistenz__1_1) )).++fof(fact_5317,axiom,(+ chea(mitwirken_1_2,mitwirkung_1_2) )).++fof(fact_5318,axiom,(+ chea(mixen_1_1,mixen_2_1) )).++fof(fact_5319,axiom,(+ chea(mi__337achten_1_1,mi__337achten_2_1) )).++fof(fact_5320,axiom,(+ chea(mi__337achten_1_1,mi__337achtung_1_1) )).++fof(fact_5321,axiom,(+ chea(mi__337behagen_1_1,mi__337behagen_2_1) )).++fof(fact_5322,axiom,(+ chea(mi__337brauchen_1_1,mi__337brauch_1_1) )).++fof(fact_5323,axiom,(+ chea(mi__337brauchen_1_2,mi__337brauch_1_2) )).++fof(fact_5324,axiom,(+ chea(mi__337deuten_1_1,falschinterpretation_1_1) )).++fof(fact_5325,axiom,(+ chea(mi__337fallen_1_1,missfallen_1_1) )).++fof(fact_5326,axiom,(+ chea(mi__337gestalten_1_1,mi__337gestaltung_1_1) )).++fof(fact_5327,axiom,(+ chea(mi__337gl__374cken_1_1,misslingen_1_1) )).++fof(fact_5328,axiom,(+ chea(mi__337g__366nnen_1_1,neiden_2_1) )).++fof(fact_5329,axiom,(+ chea(mi__337handeln_1_1,mi__337handeln_4_1) )).++fof(fact_5330,axiom,(+ chea(mi__337handeln_1_1,mi__337handlung_1_1) )).++fof(fact_5331,axiom,(+ chea(mi__337trauen_2_1,argwohn_1_1) )).++fof(fact_5332,axiom,(+ chea(mi__337verstehen_1_1,mi__337verstehen_3_1) )).++fof(fact_5333,axiom,(+ chea(mobilisieren_1_1,mobilisation_1_1) )).++fof(fact_5334,axiom,(+ chea(mobilisieren_1_1,mobilisieren_2_1) )).++fof(fact_5335,axiom,(+ chea(mobilisieren_1_1,mobilisierung_1_1) )).++fof(fact_5336,axiom,(+ chea(modellieren_1_1,modellieren_2_1) )).++fof(fact_5337,axiom,(+ chea(modellieren_1_1,modellierung_1_1) )).++fof(fact_5338,axiom,(+ chea(moderieren_1_1,moderation_1_1) )).++fof(fact_5339,axiom,(+ chea(moderieren_1_1,moderieren_2_1) )).++fof(fact_5340,axiom,(+ chea(moderieren_1_1,moderierung_1_1) )).++fof(fact_5341,axiom,(+ chea(modern_2_1,modern_3_1) )).++fof(fact_5342,axiom,(+ chea(modernisieren_1_1,modernisation_1_1) )).++fof(fact_5343,axiom,(+ chea(modernisieren_1_1,modernisieren_2_1) )).++fof(fact_5344,axiom,(+ chea(modernisieren_1_1,modernisierung_1_1) )).++fof(fact_5345,axiom,(+ chea(modifizieren_1_1,modifizieren_2_1) )).++fof(fact_5346,axiom,(+ chea(modifizieren_1_1,modifizierung_1_1) )).++fof(fact_5347,axiom,(+ chea(modulieren_1_1,modulation_1_1) )).++fof(fact_5348,axiom,(+ chea(modulieren_1_1,modulieren_2_1) )).++fof(fact_5349,axiom,(+ chea(modulieren_1_1,modulierung_1_1) )).++fof(fact_5350,axiom,(+ chea(moirieren_1_1,moirieren_2_1) )).++fof(fact_5351,axiom,(+ chea(monologisieren_1_1,monologisieren_2_1) )).++fof(fact_5352,axiom,(+ chea(monophthongieren_1_1,monophthongierung_1_1) )).++fof(fact_5353,axiom,(+ chea(monopolisieren_1_1,monopolisierung_1_1) )).++fof(fact_5354,axiom,(+ chea(montieren_1_1,montieren_2_1) )).++fof(fact_5355,axiom,(+ chea(montieren_1_1,montierung_1_1) )).++fof(fact_5356,axiom,(+ chea(moppen_1_1,moppen_2_1) )).++fof(fact_5357,axiom,(+ chea(moralisieren_1_1,moralisieren_2_1) )).++fof(fact_5358,axiom,(+ chea(moralisieren_1_1,moralisierung_1_1) )).++fof(fact_5359,axiom,(+ chea(morsen_1_1,morsen_2_1) )).++fof(fact_5360,axiom,(+ chea(motorisieren_1_1,motorisierung_1_1) )).++fof(fact_5361,axiom,(+ chea(motzen_1_1,motzen_2_1) )).++fof(fact_5362,axiom,(+ chea(moussieren_1_1,moussieren_2_1) )).++fof(fact_5363,axiom,(+ chea(muhen_1_1,muhen_2_1) )).++fof(fact_5364,axiom,(+ chea(mulmen_1_1,mulmen_2_1) )).++fof(fact_5365,axiom,(+ chea(mumifizieren_1_1,mumifizieren_2_1) )).++fof(fact_5366,axiom,(+ chea(mumifizieren_1_1,mumifizierung_1_1) )).++fof(fact_5367,axiom,(+ chea(munden_1_1,munden_2_1) )).++fof(fact_5368,axiom,(+ chea(munitionieren_1_1,munitionieren_2_1) )).++fof(fact_5369,axiom,(+ chea(munitionieren_1_1,munitionierung_1_1) )).++fof(fact_5370,axiom,(+ chea(murmeln_1_1,murmeln_2_1) )).++fof(fact_5371,axiom,(+ chea(murmeln_1_1,nuscheln_2_1) )).++fof(fact_5372,axiom,(+ chea(musizieren_1_1,musizieren_2_1) )).++fof(fact_5373,axiom,(+ chea(mustern_1_2,musterung_1_1) )).++fof(fact_5374,axiom,(+ chea(muten_1_1,muten_2_1) )).++fof(fact_5375,axiom,(+ chea(muten_1_1,mutung_1_1) )).++fof(fact_5376,axiom,(+ chea(mutieren_1_1,mutation_1_1) )).++fof(fact_5377,axiom,(+ chea(mutieren_1_1,mutierung_1_1) )).++fof(fact_5378,axiom,(+ chea(mutieren_1_1,n344nderung_1_2) )).++fof(fact_5379,axiom,(+ chea(mutma__337en_1_1,w__344hnen_2_1) )).++fof(fact_5380,axiom,(+ chea(mutzen_1_1,mutzen_2_1) )).++fof(fact_5381,axiom,(+ chea(mystifizieren_1_1,mystifizierung_1_1) )).++fof(fact_5382,axiom,(+ chea(mythisieren_1_1,mythisierung_1_1) )).++fof(fact_5383,axiom,(+ chea(mythologisieren_1_1,mythologisierung_1_1) )).++fof(fact_5384,axiom,(+ chea(m__344hen_1_1,m__344hen_2_1) )).++fof(fact_5385,axiom,(+ chea(m__344hen_1_1,sicheln_2_1) )).++fof(fact_5386,axiom,(+ chea(m__344sten_1_1,m__344sten_2_1) )).++fof(fact_5387,axiom,(+ chea(m__344sten_1_1,m__344stung_1_1) )).++fof(fact_5388,axiom,(+ chea(m__344sten_1_1,stopfung_1_3) )).++fof(fact_5389,axiom,(+ chea(m__344__337igen_1_1,askese_1_1) )).++fof(fact_5390,axiom,(+ chea(m__366blieren_1_1,m__366blieren_2_1) )).++fof(fact_5391,axiom,(+ chea(m__366blieren_1_1,m__366blierung_1_1) )).++fof(fact_5392,axiom,(+ chea(m__374nden_1_2,m__374ndung_1_1) )).++fof(fact_5393,axiom,(+ chea(m__374nzen_1_1,m__374nzen__1_1) )).++fof(fact_5394,axiom,(+ chea(m__374ssen_1_1,m__374ssen_2_1) )).++fof(fact_5395,axiom,(+ chea(nachbauen_1_1,nachbauen_2_1) )).++fof(fact_5396,axiom,(+ chea(nachbehandeln_1_1,nachbehandeln_2_1) )).++fof(fact_5397,axiom,(+ chea(nachbereiten_1_1,nachbearbeitung_1_1) )).++fof(fact_5398,axiom,(+ chea(nachbessern_1_1,korrektur_1_1) )).++fof(fact_5399,axiom,(+ chea(nachbestellen_1_1,nachbestellen_2_1) )).++fof(fact_5400,axiom,(+ chea(nachbestellen_1_1,nachbestellung_1_1) )).++fof(fact_5401,axiom,(+ chea(nachbilden_1_1,nachbilden_2_1) )).++fof(fact_5402,axiom,(+ chea(nachbilden_1_1,nachbildung_1_1) )).++fof(fact_5403,axiom,(+ chea(nachbluten_1_1,nachbluten_2_1) )).++fof(fact_5404,axiom,(+ chea(nachbluten_1_1,nachblutung_1_1) )).++fof(fact_5405,axiom,(+ chea(nachdenken_1_1,nachdenken_2_1) )).++fof(fact_5406,axiom,(+ chea(nachdr__344ngen_1_1,nachdr__344ngen_2_1) )).++fof(fact_5407,axiom,(+ chea(nacheifern_1_1,ambition_1_1) )).++fof(fact_5408,axiom,(+ chea(nacheilen_1_1,nacheilen_2_1) )).++fof(fact_5409,axiom,(+ chea(nachempfinden_1_1,nachempfinden_2_1) )).++fof(fact_5410,axiom,(+ chea(nachempfinden_1_1,nachempfindung_1_1) )).++fof(fact_5411,axiom,(+ chea(nacherz__344hlen_1_1,nacherz__344hlen_2_1) )).++fof(fact_5412,axiom,(+ chea(nacherz__344hlen_1_1,nacherz__344hlung_1_1) )).++fof(fact_5413,axiom,(+ chea(nachfahren_1_1,nachfahren_2_1) )).++fof(fact_5414,axiom,(+ chea(nachfahren_1_1,nachfahrung_1_1) )).++fof(fact_5415,axiom,(+ chea(nachformen_1_1,nachformen_2_1) )).++fof(fact_5416,axiom,(+ chea(nachformen_1_1,nachformung_1_1) )).++fof(fact_5417,axiom,(+ chea(nachforschen_1_1,nachforschung_1_1) )).++fof(fact_5418,axiom,(+ chea(nachf__374llen_1_1,nachf__374llen_2_1) )).++fof(fact_5419,axiom,(+ chea(nachf__374llen_1_1,nachf__374llung_1_1) )).++fof(fact_5420,axiom,(+ chea(nachgucken_1_1,nachgucken_2_1) )).++fof(fact_5421,axiom,(+ chea(nachhelfen_1_1,nachhelfen_2_1) )).++fof(fact_5422,axiom,(+ chea(nachholen_1_1,nachholen_2_1) )).++fof(fact_5423,axiom,(+ chea(nachholen_1_1,nachholung_1_1) )).++fof(fact_5424,axiom,(+ chea(nachklingen_1_1,nachklingen_2_1) )).++fof(fact_5425,axiom,(+ chea(nachlaufen_1_1,nachlaufen_2_1) )).++fof(fact_5426,axiom,(+ chea(nachlegen_1_1,nachlegen_2_1) )).++fof(fact_5427,axiom,(+ chea(nachlesen_1_1,nachlesen_2_1) )).++fof(fact_5428,axiom,(+ chea(nachlesen_1_1,nachschlagen_2_1) )).++fof(fact_5429,axiom,(+ chea(nachliefern_1_1,nachlieferung_1_1) )).++fof(fact_5430,axiom,(+ chea(nachl__366sen_1_1,nachl__366sen_2_1) )).++fof(fact_5431,axiom,(+ chea(nachl__366sen_1_1,nachl__366sung_1_1) )).++fof(fact_5432,axiom,(+ chea(nachmessen_1_1,nachmessen_2_1) )).++fof(fact_5433,axiom,(+ chea(nachmessen_1_1,nachmessung_1_1) )).++fof(fact_5434,axiom,(+ chea(nachpr__374fen_1_1,nachpr__374fen_2_1) )).++fof(fact_5435,axiom,(+ chea(nachpr__374fen_1_1,nachpr__374fung_1_1) )).++fof(fact_5436,axiom,(+ chea(nachpr__374fen_1_1,nachschauen_2_1) )).++fof(fact_5437,axiom,(+ chea(nachrechnen_1_1,nachrechnen_2_1) )).++fof(fact_5438,axiom,(+ chea(nachreden_1_1,nachreden_2_1) )).++fof(fact_5439,axiom,(+ chea(nachreichen_1_1,nachreichen_2_1) )).++fof(fact_5440,axiom,(+ chea(nachreichen_1_1,nachreichung_1_1) )).++fof(fact_5441,axiom,(+ chea(nachreifen_1_1,nachreifen_2_1) )).++fof(fact_5442,axiom,(+ chea(nachreifen_1_1,nachreifung_1_1) )).++fof(fact_5443,axiom,(+ chea(nachsehen_1_1,nachsehen_2_1) )).++fof(fact_5444,axiom,(+ chea(nachsenden_1_1,nachsendung_1_1) )).++fof(fact_5445,axiom,(+ chea(nachsinnen_1_1,nachsinnen_2_1) )).++fof(fact_5446,axiom,(+ chea(nachsitzen_1_1,nachsitzen_2_1) )).++fof(fact_5447,axiom,(+ chea(nachspielen_1_1,nachspielen_2_1) )).++fof(fact_5448,axiom,(+ chea(nachsprechen_1_1,nachsprechen_2_1) )).++fof(fact_5449,axiom,(+ chea(nachsp__374len_1_1,nachsp__374len_2_1) )).++fof(fact_5450,axiom,(+ chea(nachsp__374len_1_1,nachsp__374lung_1_1) )).++fof(fact_5451,axiom,(+ chea(nachsp__374ren_1_1,nachsp__374ren_2_1) )).++fof(fact_5452,axiom,(+ chea(nachstellen_1_2,nachstellung_1_1) )).++fof(fact_5453,axiom,(+ chea(nachsuchen_1_2,nachsuchung_1_1) )).++fof(fact_5454,axiom,(+ chea(nachtragen_1_1,nachtragen_2_1) )).++fof(fact_5455,axiom,(+ chea(nachtwandeln_1_1,nachtwandeln_2_1) )).++fof(fact_5456,axiom,(+ chea(nachvollziehen_1_1,nachvollziehen_2_1) )).++fof(fact_5457,axiom,(+ chea(nachvollziehen_1_1,nachvollziehung_1_1) )).++fof(fact_5458,axiom,(+ chea(nachwachsen_1_1,nachwachsen_2_1) )).++fof(fact_5459,axiom,(+ chea(nachwiegen_1_1,nachwiegen_2_1) )).++fof(fact_5460,axiom,(+ chea(nachwirken_1_1,nachgeschmack_1_1) )).++fof(fact_5461,axiom,(+ chea(nachwirken_1_1,nachwirken_2_1) )).++fof(fact_5462,axiom,(+ chea(nachzahlen_1_1,nachzahlen_2_1) )).++fof(fact_5463,axiom,(+ chea(nachzahlen_1_1,nachzahlung_1_1) )).++fof(fact_5464,axiom,(+ chea(nachzeichnen_1_1,nachzeichnen_2_1) )).++fof(fact_5465,axiom,(+ chea(nachzeichnen_1_1,nachzeichnung_1_1) )).++fof(fact_5466,axiom,(+ chea(nachz__344hlen_1_1,nachz__344hlen_2_1) )).++fof(fact_5467,axiom,(+ chea(nachz__344hlen_1_1,nachz__344hlung_1_1) )).++fof(fact_5468,axiom,(+ chea(nach__344ffen_1_1,nach__344ffen_2_1) )).++fof(fact_5469,axiom,(+ chea(nadeln_1_1,nadeln_2_1) )).++fof(fact_5470,axiom,(+ chea(nagen_1_1,nagen_2_1) )).++fof(fact_5471,axiom,(+ chea(nahen_1_1,nahen_2_1) )).++fof(fact_5472,axiom,(+ chea(nahen_1_1,nahung_1_1) )).++fof(fact_5473,axiom,(+ chea(narben_1_1,narben_2_1) )).++fof(fact_5474,axiom,(+ chea(narben_1_1,narbung_1_1) )).++fof(fact_5475,axiom,(+ chea(narren_1_1,narren_2_1) )).++fof(fact_5476,axiom,(+ chea(nasalieren_1_1,nasalierung_1_1) )).++fof(fact_5477,axiom,(+ chea(naschen_1_1,naschen_2_1) )).++fof(fact_5478,axiom,(+ chea(naschen_1_1,schlecken_2_1) )).++fof(fact_5479,axiom,(+ chea(naturalisieren_1_1,naturalisation_1_1) )).++fof(fact_5480,axiom,(+ chea(naturalisieren_1_1,naturalisierung_1_1) )).++fof(fact_5481,axiom,(+ chea(navigieren_1_1,navigation_1_1) )).++fof(fact_5482,axiom,(+ chea(navigieren_1_1,navigieren_2_1) )).++fof(fact_5483,axiom,(+ chea(nebeln_1_1,nebeln_2_1) )).++fof(fact_5484,axiom,(+ chea(nebeneinanderschalten_1_1,nebeneinanderschaltung_1_1) )).++fof(fact_5485,axiom,(+ chea(necken_1_1,necken_2_1) )).++fof(fact_5486,axiom,(+ chea(negieren_1_1,negation_1_1) )).++fof(fact_5487,axiom,(+ chea(negieren_1_1,negieren_2_1) )).++fof(fact_5488,axiom,(+ chea(negieren_1_1,negierung_1_1) )).++fof(fact_5489,axiom,(+ chea(negieren_1_1,verneinen_2_1) )).++fof(fact_5490,axiom,(+ chea(negieren_1_1,verneinung_1_1) )).++fof(fact_5491,axiom,(+ chea(nehmen_1_e,operation_1_1) )).++fof(fact_5492,axiom,(+ chea(nehmen_1_f,anh__366rung_1_1) )).++fof(fact_5493,axiom,(+ chea(nehmen_1_f,vernehmen_2_1) )).++fof(fact_5494,axiom,(+ chea(neigen_2_2,neigung_1_1) )).++fof(fact_5495,axiom,(+ chea(nennen_1_1,nennung_1_1) )).++fof(fact_5496,axiom,(+ chea(neutralisieren_1_1,neutralisation_1_1) )).++fof(fact_5497,axiom,(+ chea(neutralisieren_1_1,neutralisieren_2_1) )).++fof(fact_5498,axiom,(+ chea(nibbeln_1_1,nibbeln_2_1) )).++fof(fact_5499,axiom,(+ chea(nicken_1_1,kopfnicken_1_1) )).++fof(fact_5500,axiom,(+ chea(niederbringen_1_1,niederbringen_2_1) )).++fof(fact_5501,axiom,(+ chea(niederbringen_1_1,niederbringung_1_1) )).++fof(fact_5502,axiom,(+ chea(niederdr__374cken_1_1,niederdr__374cken_2_1) )).++fof(fact_5503,axiom,(+ chea(niederdr__374cken_1_1,niederdr__374ckung_1_1) )).++fof(fact_5504,axiom,(+ chea(niederfallen_1_1,niederfallen_2_1) )).++fof(fact_5505,axiom,(+ chea(niederhalten_1_1,niederhalten_2_1) )).++fof(fact_5506,axiom,(+ chea(niederhalten_1_1,niederhaltung_1_1) )).++fof(fact_5507,axiom,(+ chea(niederholen_1_1,niederholen_2_1) )).++fof(fact_5508,axiom,(+ chea(niederknien_1_1,niederknien_2_1) )).++fof(fact_5509,axiom,(+ chea(niederk__344mpfen_1_1,niederk__344mpfen_2_1) )).++fof(fact_5510,axiom,(+ chea(niederk__344mpfen_1_1,niederk__344mpfung_1_1) )).++fof(fact_5511,axiom,(+ chea(niederk__344mpfen_1_1,niederringen_2_1) )).++fof(fact_5512,axiom,(+ chea(niederk__344mpfen_1_1,niederringung_1_1) )).++fof(fact_5513,axiom,(+ chea(niederlassen_1_2,niederlassung_1_2) )).++fof(fact_5514,axiom,(+ chea(niederlegen_1_1,niederlegung_1_1) )).++fof(fact_5515,axiom,(+ chea(niederlegen_1_2,niederlegung_1_2) )).++fof(fact_5516,axiom,(+ chea(niederlegen_1_3,niederlegung_1_3) )).++fof(fact_5517,axiom,(+ chea(niedermachen_1_1,niedermachen_2_1) )).++fof(fact_5518,axiom,(+ chea(niederrei__337en_1_1,abri__337_1_1) )).++fof(fact_5519,axiom,(+ chea(niederrei__337en_1_1,niederrei__337en_2_1) )).++fof(fact_5520,axiom,(+ chea(niederschlagen_1_2,rabattierung_1_1) )).++fof(fact_5521,axiom,(+ chea(niedersetzen_1_1,niedersetzen_2_1) )).++fof(fact_5522,axiom,(+ chea(niederwalzen_1_1,niederwalzung_1_1) )).++fof(fact_5523,axiom,(+ chea(niederwerfen_1_1,kniefall_1_1) )).++fof(fact_5524,axiom,(+ chea(niederwerfen_1_1,niederwerfen_2_1) )).++fof(fact_5525,axiom,(+ chea(niederziehen_1_1,niederziehen_2_1) )).++fof(fact_5526,axiom,(+ chea(nieseln_1_1,nieseln_2_1) )).++fof(fact_5527,axiom,(+ chea(niesen_1_1,niesen_2_1) )).++fof(fact_5528,axiom,(+ chea(nieten_1_1,nieten_2_1) )).++fof(fact_5529,axiom,(+ chea(nieten_1_1,nietung_1_1) )).++fof(fact_5530,axiom,(+ chea(nieten_1_1,vernieten_2_1) )).++fof(fact_5531,axiom,(+ chea(nieten_1_1,vernietung_1_1) )).++fof(fact_5532,axiom,(+ chea(nie__337brauchen_1_1,nie__337brauch_1_1) )).++fof(fact_5533,axiom,(+ chea(nippen_1_1,nippen_2_1) )).++fof(fact_5534,axiom,(+ chea(nippen_1_1,schl__374rfen_2_1) )).++fof(fact_5535,axiom,(+ chea(nisten_1_1,nisten_2_1) )).++fof(fact_5536,axiom,(+ chea(nivellieren_1_1,gleichmacherei_1_1) )).++fof(fact_5537,axiom,(+ chea(nivellieren_1_1,nivellieren_2_1) )).++fof(fact_5538,axiom,(+ chea(nobilitieren_1_1,nobilitation_1_1) )).++fof(fact_5539,axiom,(+ chea(nobilitieren_1_1,nobilitierung_1_1) )).++fof(fact_5540,axiom,(+ chea(normen_1_1,normation_1_1) )).++fof(fact_5541,axiom,(+ chea(normen_1_1,normen_2_1) )).++fof(fact_5542,axiom,(+ chea(normen_1_1,normieren_2_1) )).++fof(fact_5543,axiom,(+ chea(normen_1_1,normierung_1_1) )).++fof(fact_5544,axiom,(+ chea(normen_1_1,normung_1_1) )).++fof(fact_5545,axiom,(+ chea(nostrifizieren_1_1,nostrifizierung_1_1) )).++fof(fact_5546,axiom,(+ chea(notifizieren_1_1,notifizierung_1_1) )).++fof(fact_5547,axiom,(+ chea(notschlachten_1_1,notschlachtung_1_1) )).++fof(fact_5548,axiom,(+ chea(novellieren_1_1,novellierung_1_1) )).++fof(fact_5549,axiom,(+ chea(nuancieren_1_1,nuancieren_2_1) )).++fof(fact_5550,axiom,(+ chea(nuancieren_1_1,nuancierung_1_1) )).++fof(fact_5551,axiom,(+ chea(nudeln_1_1,nudeln_2_1) )).++fof(fact_5552,axiom,(+ chea(nullen_1_1,nullen_2_1) )).++fof(fact_5553,axiom,(+ chea(nullen_1_1,nullung_1_1) )).++fof(fact_5554,axiom,(+ chea(numerieren_1_1,numerierung_1_1) )).++fof(fact_5555,axiom,(+ chea(nuten_1_1,nutung_1_1) )).++fof(fact_5556,axiom,(+ chea(nuten_1_1,verfugen_2_1) )).++fof(fact_5557,axiom,(+ chea(nuten_1_1,verfugung_1_1) )).++fof(fact_5558,axiom,(+ chea(nutzen_2_1,benutzung_1_1) )).++fof(fact_5559,axiom,(+ chea(nutznie__337en_1_1,genu__337_1_1) )).++fof(fact_5560,axiom,(+ chea(n__344chtigen_1_1,n__344chtigung_1_1) )).++fof(fact_5561,axiom,(+ chea(n__344chtigen_1_1,n374bernachten_2_1) )).++fof(fact_5562,axiom,(+ chea(n__344chtigen_1_1,n374bernachtung_1_1) )).++fof(fact_5563,axiom,(+ chea(n__344hen_1_1,n__344hen_2_1) )).++fof(fact_5564,axiom,(+ chea(n__344herbringen_1_1,n__344herbringen_2_1) )).++fof(fact_5565,axiom,(+ chea(n__344herbringen_1_1,n__344herbringung_1_1) )).++fof(fact_5566,axiom,(+ chea(n__344hern_1_1,n__344herung_1_1) )).++fof(fact_5567,axiom,(+ chea(n__344seln_1_1,n__344seln_2_1) )).++fof(fact_5568,axiom,(+ chea(n__344ssen_1_1,n__344ssen_2_1) )).++fof(fact_5569,axiom,(+ chea(n__366tigen_1_1,n__366tigen_2_1) )).++fof(fact_5570,axiom,(+ chea(n__366tigen_1_1,n__366tigung_1_1) )).++fof(fact_5571,axiom,(+ chea(obduzieren_1_1,autopsie_1_1) )).++fof(fact_5572,axiom,(+ chea(obduzieren_1_1,sezieren_2_1) )).++fof(fact_5573,axiom,(+ chea(obduzieren_1_1,sezierung_1_1) )).++fof(fact_5574,axiom,(+ chea(objektivieren_1_1,objektivation_1_1) )).++fof(fact_5575,axiom,(+ chea(objektivieren_1_1,objektivierung_1_1) )).++fof(fact_5576,axiom,(+ chea(obsiegen_1_1,obsiegen_2_1) )).++fof(fact_5577,axiom,(+ chea(offenbleiben_1_1,offenbleiben_2_1) )).++fof(fact_5578,axiom,(+ chea(offenlegen_1_1,offenlegen_2_1) )).++fof(fact_5579,axiom,(+ chea(offenlegen_1_1,offenlegung_1_1) )).++fof(fact_5580,axiom,(+ chea(ohrfeigen_1_1,ohrfeigen_2_1) )).++fof(fact_5581,axiom,(+ chea(oktavieren_1_1,oktavieren_2_1) )).++fof(fact_5582,axiom,(+ chea(oktavieren_1_1,oktavierung_1_1) )).++fof(fact_5583,axiom,(+ chea(ondulieren_1_1,ondulation_1_1) )).++fof(fact_5584,axiom,(+ chea(operationalisieren_1_1,operationalisieren_2_1) )).++fof(fact_5585,axiom,(+ chea(operationalisieren_1_1,operationalisierung_1_1) )).++fof(fact_5586,axiom,(+ chea(operieren_1_2,operation_1_2) )).++fof(fact_5587,axiom,(+ chea(opfern_1_1,opferung_1_1) )).++fof(fact_5588,axiom,(+ chea(opfern_1_2,opferung_1_2) )).++fof(fact_5589,axiom,(+ chea(opfern_1_3,opferung_1_3) )).++fof(fact_5590,axiom,(+ chea(opponieren_1_1,gegensetzung_1_1) )).++fof(fact_5591,axiom,(+ chea(opponieren_1_1,opponieren_2_1) )).++fof(fact_5592,axiom,(+ chea(optimieren_1_1,aufbesserung_1_1) )).++fof(fact_5593,axiom,(+ chea(optimieren_1_1,optimieren_2_1) )).++fof(fact_5594,axiom,(+ chea(optimieren_1_1,perfektionieren_2_1) )).++fof(fact_5595,axiom,(+ chea(orakeln_1_1,orakeln_2_1) )).++fof(fact_5596,axiom,(+ chea(orchestrieren_1_1,orchestration_1_1) )).++fof(fact_5597,axiom,(+ chea(orchestrieren_1_1,orchestrieren_2_1) )).++fof(fact_5598,axiom,(+ chea(orchestrieren_1_1,orchestrierung_1_1) )).++fof(fact_5599,axiom,(+ chea(ordinieren_1_1,ordination_1_1) )).++fof(fact_5600,axiom,(+ chea(ordinieren_1_1,ordinierung_1_1) )).++fof(fact_5601,axiom,(+ chea(ordnen_1_1,ordnen_2_1) )).++fof(fact_5602,axiom,(+ chea(ordnen_1_1,ordnung_1_1) )).++fof(fact_5603,axiom,(+ chea(organisieren_1_1,organisation_1_2) )).++fof(fact_5604,axiom,(+ chea(organisieren_1_1,organisieren_2_1) )).++fof(fact_5605,axiom,(+ chea(organisieren_1_1,organisierung_1_1) )).++fof(fact_5606,axiom,(+ chea(orientieren_1_2,orientierung_1_2) )).++fof(fact_5607,axiom,(+ chea(orientieren_1_3,orientierung_1_3) )).++fof(fact_5608,axiom,(+ chea(ornamentieren_1_1,ornamentation_1_1) )).++fof(fact_5609,axiom,(+ chea(ornamentieren_1_1,ornamentierung_1_1) )).++fof(fact_5610,axiom,(+ chea(orten_1_1,orten_2_1) )).++fof(fact_5611,axiom,(+ chea(orten_1_1,ortung_1_1) )).++fof(fact_5612,axiom,(+ chea(orten_1_1,peilen_2_1) )).++fof(fact_5613,axiom,(+ chea(orten_1_1,peilung_1_1) )).++fof(fact_5614,axiom,(+ chea(oszillieren_1_1,ger__374ttel_1_1) )).++fof(fact_5615,axiom,(+ chea(oszillieren_1_1,oszillation_1_1) )).++fof(fact_5616,axiom,(+ chea(oszillieren_1_1,oszillieren_2_1) )).++fof(fact_5617,axiom,(+ chea(outen_1_1,coming_out_1_1) )).++fof(fact_5618,axiom,(+ chea(outen_1_1,outen_2_1) )).++fof(fact_5619,axiom,(+ chea(oxydieren_1_1,oxidation_1_1) )).++fof(fact_5620,axiom,(+ chea(oxydieren_1_1,oxydieren_2_1) )).++fof(fact_5621,axiom,(+ chea(oxydieren_1_1,oxydierung_1_1) )).++fof(fact_5622,axiom,(+ chea(paaren_1_1,paarung_1_1) )).++fof(fact_5623,axiom,(+ chea(paaren_1_1,rammeln_2_1) )).++fof(fact_5624,axiom,(+ chea(paddeln_1_1,paddeln_2_1) )).++fof(fact_5625,axiom,(+ chea(paginieren_1_1,pagination_1_1) )).++fof(fact_5626,axiom,(+ chea(paginieren_1_1,paginieren_2_1) )).++fof(fact_5627,axiom,(+ chea(paginieren_1_1,paginierung_1_1) )).++fof(fact_5628,axiom,(+ chea(paketieren_1_1,paketieren_2_1) )).++fof(fact_5629,axiom,(+ chea(paketieren_1_1,paketierung_1_1) )).++fof(fact_5630,axiom,(+ chea(paktieren_1_1,paktieren_2_1) )).++fof(fact_5631,axiom,(+ chea(palpitieren_1_1,herzklopfen_1_1) )).++fof(fact_5632,axiom,(+ chea(panieren_1_1,panierung_1_1) )).++fof(fact_5633,axiom,(+ chea(panschen_1_1,panschen_2_1) )).++fof(fact_5634,axiom,(+ chea(panschen_1_1,verschneiden_2_1) )).++fof(fact_5635,axiom,(+ chea(panschen_1_1,verschneidung_1_1) )).++fof(fact_5636,axiom,(+ chea(paradieren_1_1,paradieren_2_1) )).++fof(fact_5637,axiom,(+ chea(parallelisieren_1_1,parallelisierung_1_1) )).++fof(fact_5638,axiom,(+ chea(parallelschalten_1_1,parallelschalten_2_1) )).++fof(fact_5639,axiom,(+ chea(parallelschalten_1_1,parallelschaltung_1_1) )).++fof(fact_5640,axiom,(+ chea(paralysieren_1_1,paralysierung_1_1) )).++fof(fact_5641,axiom,(+ chea(paraphrasieren_1_1,paraphrasieren_2_1) )).++fof(fact_5642,axiom,(+ chea(paraphrasieren_1_1,paraphrasierung_1_1) )).++fof(fact_5643,axiom,(+ chea(paraphrasieren_1_1,umschreibung_1_1) )).++fof(fact_5644,axiom,(+ chea(parf__374mieren_1_1,parf__374mieren_2_1) )).++fof(fact_5645,axiom,(+ chea(parf__374mieren_1_1,parf__374mierung_1_1) )).++fof(fact_5646,axiom,(+ chea(parieren_1_2,spuren_2_1) )).++fof(fact_5647,axiom,(+ chea(parken_1_1,parken_2_1) )).++fof(fact_5648,axiom,(+ chea(parken_1_1,parkieren_2_1) )).++fof(fact_5649,axiom,(+ chea(parkettieren_1_1,parkettierung_1_1) )).++fof(fact_5650,axiom,(+ chea(partizipieren_1_1,partizipation_1_1) )).++fof(fact_5651,axiom,(+ chea(partizipieren_1_1,partizipieren_2_1) )).++fof(fact_5652,axiom,(+ chea(parzellieren_1_1,parzellierung_1_1) )).++fof(fact_5653,axiom,(+ chea(passieren_1_1,n374berholung_1_1) )).++fof(fact_5654,axiom,(+ chea(passivieren_1_1,passivierung_1_1) )).++fof(fact_5655,axiom,(+ chea(pasteurisieren_1_1,pasteurisation_1_1) )).++fof(fact_5656,axiom,(+ chea(pasteurisieren_1_1,pasteurisieren_2_1) )).++fof(fact_5657,axiom,(+ chea(pasteurisieren_1_1,pasteurisierung_1_1) )).++fof(fact_5658,axiom,(+ chea(patentieren_1_1,patentierung_1_1) )).++fof(fact_5659,axiom,(+ chea(patinieren_1_1,patinieren_2_1) )).++fof(fact_5660,axiom,(+ chea(patinieren_1_1,patinierung_1_1) )).++fof(fact_5661,axiom,(+ chea(patrouillieren_1_1,patrouillieren_2_1) )).++fof(fact_5662,axiom,(+ chea(patschen_1_1,patschen_2_1) )).++fof(fact_5663,axiom,(+ chea(patzen_1_1,patzen_2_1) )).++fof(fact_5664,axiom,(+ chea(pauschalieren_1_1,pauschalierung_1_1) )).++fof(fact_5665,axiom,(+ chea(pausieren_1_1,pausieren_2_1) )).++fof(fact_5666,axiom,(+ chea(pausieren_1_1,pausierung_1_1) )).++fof(fact_5667,axiom,(+ chea(pausieren_1_1,rasten_2_1) )).++fof(fact_5668,axiom,(+ chea(pausieren_1_1,rastung_1_1) )).++fof(fact_5669,axiom,(+ chea(pazifizieren_1_1,pazifizierung_1_1) )).++fof(fact_5670,axiom,(+ chea(pelzen_1_1,pelzen_2_1) )).++fof(fact_5671,axiom,(+ chea(penetrieren_1_1,durchdringung_1_1) )).++fof(fact_5672,axiom,(+ chea(penetrieren_1_1,penetrieren_2_1) )).++fof(fact_5673,axiom,(+ chea(pensionieren_1_1,entpflichtung_1_1) )).++fof(fact_5674,axiom,(+ chea(pensionieren_1_1,verrentung_1_1) )).++fof(fact_5675,axiom,(+ chea(periodisieren_1_1,anordnung_1_2) )).++fof(fact_5676,axiom,(+ chea(perpetuieren_1_1,perpetuierung_1_1) )).++fof(fact_5677,axiom,(+ chea(personifizieren_1_1,personalisierung_1_1) )).++fof(fact_5678,axiom,(+ chea(personifizieren_1_1,personifizieren_2_1) )).++fof(fact_5679,axiom,(+ chea(personifizieren_1_1,verselbst__344ndigen_2_1) )).++fof(fact_5680,axiom,(+ chea(personifizieren_1_1,verselbst__344ndigung_1_1) )).++fof(fact_5681,axiom,(+ chea(pervertieren_1_1,pervertierung_1_1) )).++fof(fact_5682,axiom,(+ chea(perzipieren_1_1,wahrnehmen_2_1) )).++fof(fact_5683,axiom,(+ chea(perzipieren_1_1,wahrnehmung_1_1) )).++fof(fact_5684,axiom,(+ chea(petzen_1_1,petzen_2_1) )).++fof(fact_5685,axiom,(+ chea(pferchen_1_1,pferchung_1_1) )).++fof(fact_5686,axiom,(+ chea(pflanzen_1_1,anbau_1_2) )).++fof(fact_5687,axiom,(+ chea(pflanzen_1_1,anpflanzung_1_1) )).++fof(fact_5688,axiom,(+ chea(pflastern_1_1,pflasterung_1_1) )).++fof(fact_5689,axiom,(+ chea(pfl__374gen_1_1,pfl__374gen_2_1) )).++fof(fact_5690,axiom,(+ chea(pfropfen_1_1,pfropfung_1_1) )).++fof(fact_5691,axiom,(+ chea(pf__344nden_1_1,pf__344nden_2_1) )).++fof(fact_5692,axiom,(+ chea(pf__344nden_1_1,pf__344ndung_1_1) )).++fof(fact_5693,axiom,(+ chea(philosophieren_1_1,philosophieren_2_1) )).++fof(fact_5694,axiom,(+ chea(phrasieren_1_1,phrasierung_1_1) )).++fof(fact_5695,axiom,(+ chea(pickeln_1_1,pickeln_2_1) )).++fof(fact_5696,axiom,(+ chea(pigmentieren_1_1,pigmentation_1_1) )).++fof(fact_5697,axiom,(+ chea(pigmentieren_1_1,pigmentierung_1_1) )).++fof(fact_5698,axiom,(+ chea(pilgern_1_1,wallfahrten_2_1) )).++fof(fact_5699,axiom,(+ chea(pimpeln_1_1,pimpeln_2_1) )).++fof(fact_5700,axiom,(+ chea(pinkeln_1_1,miktion_1_1) )).++fof(fact_5701,axiom,(+ chea(pinkeln_1_1,pinkeln_2_1) )).++fof(fact_5702,axiom,(+ chea(pinkeln_1_1,pissen_2_1) )).++fof(fact_5703,axiom,(+ chea(pinkeln_1_1,seichen_2_1) )).++fof(fact_5704,axiom,(+ chea(pinkeln_1_1,urination_1_1) )).++fof(fact_5705,axiom,(+ chea(plagiieren_1_1,plagiieren_2_1) )).++fof(fact_5706,axiom,(+ chea(plakatieren_1_1,plakatieren_2_1) )).++fof(fact_5707,axiom,(+ chea(plakatieren_1_1,plakatierung_1_1) )).++fof(fact_5708,axiom,(+ chea(planen_1_1,planen_2_1) )).++fof(fact_5709,axiom,(+ chea(planen_1_1,planung_1_1) )).++fof(fact_5710,axiom,(+ chea(planieren_1_1,planation_1_1) )).++fof(fact_5711,axiom,(+ chea(planieren_1_1,planieren_2_1) )).++fof(fact_5712,axiom,(+ chea(planieren_1_1,planierung_1_1) )).++fof(fact_5713,axiom,(+ chea(platten_1_1,platten_2_1) )).++fof(fact_5714,axiom,(+ chea(plauschen_1_1,plauschen_2_1) )).++fof(fact_5715,axiom,(+ chea(plazieren_1_1,plazieren_2_1) )).++fof(fact_5716,axiom,(+ chea(plazieren_1_1,plazierung_1_1) )).++fof(fact_5717,axiom,(+ chea(plissieren_1_1,plissieren_2_1) )).++fof(fact_5718,axiom,(+ chea(pluralisieren_1_1,pluralisierung_1_1) )).++fof(fact_5719,axiom,(+ chea(pl__374ndern_1_1,pl__374ndern_2_1) )).++fof(fact_5720,axiom,(+ chea(pl__374ndern_1_1,pl__374nderung_1_1) )).++fof(fact_5721,axiom,(+ chea(poetisieren_1_1,poetisierung_1_1) )).++fof(fact_5722,axiom,(+ chea(polarisieren_1_1,polarisation_1_1) )).++fof(fact_5723,axiom,(+ chea(polarisieren_1_1,polarisieren_2_1) )).++fof(fact_5724,axiom,(+ chea(polarisieren_1_1,polarisierung_1_1) )).++fof(fact_5725,axiom,(+ chea(polemisieren_1_1,polemisieren_2_1) )).++fof(fact_5726,axiom,(+ chea(polemisieren_1_1,polemisierung_1_1) )).++fof(fact_5727,axiom,(+ chea(politisieren_1_1,politisieren_2_1) )).++fof(fact_5728,axiom,(+ chea(politisieren_1_1,politisierung_1_1) )).++fof(fact_5729,axiom,(+ chea(poltern_1_1,poltern_2_1) )).++fof(fact_5730,axiom,(+ chea(popeln_1_1,popeln_2_1) )).++fof(fact_5731,axiom,(+ chea(popularisieren_1_1,popularisation_1_1) )).++fof(fact_5732,axiom,(+ chea(popularisieren_1_1,popularisierung_1_1) )).++fof(fact_5733,axiom,(+ chea(portieren_1_1,portieren_2_1) )).++fof(fact_5734,axiom,(+ chea(portieren_1_1,portierung_1_1) )).++fof(fact_5735,axiom,(+ chea(portionieren_1_1,portionieren_2_1) )).++fof(fact_5736,axiom,(+ chea(portionieren_1_1,portionierung_1_1) )).++fof(fact_5737,axiom,(+ chea(portr__344tieren_1_1,portr__344tieren_2_1) )).++fof(fact_5738,axiom,(+ chea(portr__344tieren_1_1,portr__344tierung_1_1) )).++fof(fact_5739,axiom,(+ chea(posen_1_1,posen_2_1) )).++fof(fact_5740,axiom,(+ chea(posen_1_1,posieren_2_1) )).++fof(fact_5741,axiom,(+ chea(positionieren_1_1,positionieren_2_1) )).++fof(fact_5742,axiom,(+ chea(positionieren_1_1,positionierung_1_1) )).++fof(fact_5743,axiom,(+ chea(postieren_1_1,postieren_2_1) )).++fof(fact_5744,axiom,(+ chea(postieren_1_1,postierung_1_1) )).++fof(fact_5745,axiom,(+ chea(postulieren_1_1,postulierung_1_1) )).++fof(fact_5746,axiom,(+ chea(potenzieren_1_1,potenzieren_2_1) )).++fof(fact_5747,axiom,(+ chea(potenzieren_1_1,potenzierung_1_1) )).++fof(fact_5748,axiom,(+ chea(pragmatisieren_1_1,pragmatisierung_1_1) )).++fof(fact_5749,axiom,(+ chea(praktizieren_1_1,praktizieren_2_1) )).++fof(fact_5750,axiom,(+ chea(praktizieren_1_1,praktizierung_1_1) )).++fof(fact_5751,axiom,(+ chea(prallen_1_1,prallen_2_1) )).++fof(fact_5752,axiom,(+ chea(prassen_1_1,prassen_2_1) )).++fof(fact_5753,axiom,(+ chea(prassen_1_1,schlemmen_2_1) )).++fof(fact_5754,axiom,(+ chea(prassen_1_1,schwelgen_2_1) )).++fof(fact_5755,axiom,(+ chea(predigen_1_1,predigen_2_1) )).++fof(fact_5756,axiom,(+ chea(preisgeben_1_1,preisgeben_2_1) )).++fof(fact_5757,axiom,(+ chea(preisgeben_1_1,preisgebung_1_1) )).++fof(fact_5758,axiom,(+ chea(prellen_2_1,kontusion_1_1) )).++fof(fact_5759,axiom,(+ chea(prickeln_1_1,prickeln_2_1) )).++fof(fact_5760,axiom,(+ chea(probesingen_1_1,probesingen_2_1) )).++fof(fact_5761,axiom,(+ chea(problematisieren_1_1,problematisierung_1_1) )).++fof(fact_5762,axiom,(+ chea(profanieren_1_1,profanierung_1_1) )).++fof(fact_5763,axiom,(+ chea(professionalisieren_1_1,professionalisierung_1_1) )).++fof(fact_5764,axiom,(+ chea(profilieren_1_1,profilieren_2_1) )).++fof(fact_5765,axiom,(+ chea(profilieren_1_1,profilierung_1_1) )).++fof(fact_5766,axiom,(+ chea(profitieren_1_1,profitieren_2_1) )).++fof(fact_5767,axiom,(+ chea(prognostizieren_1_1,prognostizieren_2_1) )).++fof(fact_5768,axiom,(+ chea(prognostizieren_1_1,prognostizierung_1_1) )).++fof(fact_5769,axiom,(+ chea(prognostizieren_1_1,prophezeiung_1_1) )).++fof(fact_5770,axiom,(+ chea(prognostizieren_1_1,vorhersagen_2_1) )).++fof(fact_5771,axiom,(+ chea(programmieren_1_2,programmierung_1_2) )).++fof(fact_5772,axiom,(+ chea(projektieren_1_1,projektierung_1_1) )).++fof(fact_5773,axiom,(+ chea(projizieren_1_2,projektion_1_3) )).++fof(fact_5774,axiom,(+ chea(proletarisieren_1_1,proletarisierung_1_1) )).++fof(fact_5775,axiom,(+ chea(prolongieren_1_1,prolongation_1_1) )).++fof(fact_5776,axiom,(+ chea(prolongieren_1_1,prolongierung_1_1) )).++fof(fact_5777,axiom,(+ chea(promovieren_1_1,promotion_1_2) )).++fof(fact_5778,axiom,(+ chea(promovieren_1_2,promotion__1_1) )).++fof(fact_5779,axiom,(+ chea(promulgieren_1_1,promulgation_1_1) )).++fof(fact_5780,axiom,(+ chea(propagieren_1_1,propagation_1_1) )).++fof(fact_5781,axiom,(+ chea(propagieren_1_1,propagieren_2_1) )).++fof(fact_5782,axiom,(+ chea(propagieren_1_1,propagierung_1_1) )).++fof(fact_5783,axiom,(+ chea(prorogieren_1_1,prorogation_1_1) )).++fof(fact_5784,axiom,(+ chea(prosperieren_1_1,prosperation_1_1) )).++fof(fact_5785,axiom,(+ chea(prosperieren_1_1,prosperieren_2_1) )).++fof(fact_5786,axiom,(+ chea(prosten_1_1,prosten_2_1) )).++fof(fact_5787,axiom,(+ chea(prosten_1_1,zuprosten_2_1) )).++fof(fact_5788,axiom,(+ chea(protegieren_1_1,protegierung_1_1) )).++fof(fact_5789,axiom,(+ chea(protegieren_1_1,subventionieren_2_1) )).++fof(fact_5790,axiom,(+ chea(protegieren_1_1,subventionierung_1_1) )).++fof(fact_5791,axiom,(+ chea(protzen_1_1,protzen_2_1) )).++fof(fact_5792,axiom,(+ chea(proviantieren_1_1,proviantierung_1_1) )).++fof(fact_5793,axiom,(+ chea(provinzialisieren_1_1,provinzialisierung_1_1) )).++fof(fact_5794,axiom,(+ chea(provozieren_1_1,provokation_1_2) )).++fof(fact_5795,axiom,(+ chea(prozessieren_1_1,prozessieren_2_1) )).++fof(fact_5796,axiom,(+ chea(prozessieren_1_1,prozessierung_1_1) )).++fof(fact_5797,axiom,(+ chea(prusten_1_1,prusten_2_1) )).++fof(fact_5798,axiom,(+ chea(pr__344destinieren_1_1,pr__344destination_1_1) )).++fof(fact_5799,axiom,(+ chea(pr__344destinieren_1_1,vorherbestimmung_1_1) )).++fof(fact_5800,axiom,(+ chea(pr__344formieren_1_1,pr__344formation_1_1) )).++fof(fact_5801,axiom,(+ chea(pr__344gen_1_2,pr__344gung_1_2) )).++fof(fact_5802,axiom,(+ chea(pr__344gen_1_3,pr__344gung_1_3) )).++fof(fact_5803,axiom,(+ chea(pr__344judizieren_1_1,pr__344judizierung_1_1) )).++fof(fact_5804,axiom,(+ chea(pr__344mieren_1_1,pr__344mieren_2_1) )).++fof(fact_5805,axiom,(+ chea(pr__344mieren_1_1,pr__344mierung_1_1) )).++fof(fact_5806,axiom,(+ chea(pr__344miieren_1_1,pr__344miierung_1_1) )).++fof(fact_5807,axiom,(+ chea(pr__344sidieren_1_1,pr__344sidieren_2_1) )).++fof(fact_5808,axiom,(+ chea(pr__344sidieren_1_1,vorstehen_2_1) )).++fof(fact_5809,axiom,(+ chea(pr__374fen_1_1,pr__374fung_1_1) )).++fof(fact_5810,axiom,(+ chea(pr__374fen_1_2,pr__374fung_1_2) )).++fof(fact_5811,axiom,(+ chea(psalmodieren_1_1,psalmodieren_2_1) )).++fof(fact_5812,axiom,(+ chea(psychoanalysieren_1_1,psychoanalysierung_1_1) )).++fof(fact_5813,axiom,(+ chea(psychologisieren_1_1,psychologisieren_2_1) )).++fof(fact_5814,axiom,(+ chea(psychologisieren_1_1,psychologisierung_1_1) )).++fof(fact_5815,axiom,(+ chea(publizieren_1_1,publizieren_2_1) )).++fof(fact_5816,axiom,(+ chea(publizieren_1_1,publizierung_1_1) )).++fof(fact_5817,axiom,(+ chea(publizieren_1_1,ver__366ffentlichen_2_1) )).++fof(fact_5818,axiom,(+ chea(publizieren_1_1,ver__366ffentlichung_1_1) )).++fof(fact_5819,axiom,(+ chea(puffen_1_1,puffen_2_1) )).++fof(fact_5820,axiom,(+ chea(pulsieren_1_1,pulsation_1_1) )).++fof(fact_5821,axiom,(+ chea(pulsieren_1_1,pulsieren_2_1) )).++fof(fact_5822,axiom,(+ chea(pulverisieren_1_1,pulverisieren_2_1) )).++fof(fact_5823,axiom,(+ chea(pulverisieren_1_1,pulverisierung_1_1) )).++fof(fact_5824,axiom,(+ chea(pulverisieren_1_1,zerreiben_2_1) )).++fof(fact_5825,axiom,(+ chea(punkten_1_1,punkten_2_1) )).++fof(fact_5826,axiom,(+ chea(punkten_1_1,punktung_1_1) )).++fof(fact_5827,axiom,(+ chea(punktieren_1_1,punktation_1_1) )).++fof(fact_5828,axiom,(+ chea(punktieren_1_1,punktieren_2_1) )).++fof(fact_5829,axiom,(+ chea(punktieren_1_1,punktierung_1_1) )).++fof(fact_5830,axiom,(+ chea(punktschwei__337en_1_1,punktschwei__337en_2_1) )).++fof(fact_5831,axiom,(+ chea(punktschwei__337en_1_1,punktschwei__337ung_1_1) )).++fof(fact_5832,axiom,(+ chea(punzieren_1_1,punzieren_2_1) )).++fof(fact_5833,axiom,(+ chea(punzieren_1_1,punzierung_1_1) )).++fof(fact_5834,axiom,(+ chea(puppen_1_1,puppen_2_1) )).++fof(fact_5835,axiom,(+ chea(pushen_1_1,pushen_2_1) )).++fof(fact_5836,axiom,(+ chea(pushen_1_1,vorantreiben_2_1) )).++fof(fact_5837,axiom,(+ chea(pushen_1_1,vorantreibung_1_1) )).++fof(fact_5838,axiom,(+ chea(pusten_1_1,pusten_2_1) )).++fof(fact_5839,axiom,(+ chea(putzen_1_1,reinigung_1_2) )).++fof(fact_5840,axiom,(+ chea(putzen_1_1,s__344uberung_1_1) )).++fof(fact_5841,axiom,(+ chea(puzzeln_1_1,puzzeln_2_1) )).++fof(fact_5842,axiom,(+ chea(p__344dagogisieren_1_1,p__344dagogisierung_1_1) )).++fof(fact_5843,axiom,(+ chea(p__366keln_1_1,p__366keln_2_1) )).++fof(fact_5844,axiom,(+ chea(quadrieren_1_1,quadrieren_2_1) )).++fof(fact_5845,axiom,(+ chea(quadrieren_1_1,quadrierung_1_1) )).++fof(fact_5846,axiom,(+ chea(quaken_1_1,quaken_2_1) )).++fof(fact_5847,axiom,(+ chea(qualifizieren_1_1,qualifikation_1_2) )).++fof(fact_5848,axiom,(+ chea(qualifizieren_1_1,qualifizierung_1_1) )).++fof(fact_5849,axiom,(+ chea(qualmen_1_1,qualmen_2_1) )).++fof(fact_5850,axiom,(+ chea(quantifizieren_1_1,quantifizieren_2_1) )).++fof(fact_5851,axiom,(+ chea(quantifizieren_1_1,quantifizierung_1_1) )).++fof(fact_5852,axiom,(+ chea(quartieren_1_1,quartation_1_1) )).++fof(fact_5853,axiom,(+ chea(quartieren_1_1,quartieren_2_1) )).++fof(fact_5854,axiom,(+ chea(quatschen_1_1,quatschen_2_1) )).++fof(fact_5855,axiom,(+ chea(quengeln_1_1,quengeln_2_1) )).++fof(fact_5856,axiom,(+ chea(queren_1_1,queren_2_1) )).++fof(fact_5857,axiom,(+ chea(queren_1_1,querung_1_1) )).++fof(fact_5858,axiom,(+ chea(querstellen_1_1,querstellen_2_1) )).++fof(fact_5859,axiom,(+ chea(querulieren_1_1,querulation_1_1) )).++fof(fact_5860,axiom,(+ chea(quetschen_1_1,kontusion_1_1) )).++fof(fact_5861,axiom,(+ chea(quillen_1_1,quillen_2_1) )).++fof(fact_5862,axiom,(+ chea(quirlen_1_1,quirlen_2_1) )).++fof(fact_5863,axiom,(+ chea(quotieren_1_1,quotation_1_1) )).++fof(fact_5864,axiom,(+ chea(quotieren_1_1,quotierung_1_1) )).++fof(fact_5865,axiom,(+ chea(quotisieren_1_1,quotisierung_1_1) )).++fof(fact_5866,axiom,(+ chea(rackern_1_1,schuften_2_1) )).++fof(fact_5867,axiom,(+ chea(radeln_1_1,radeln_2_1) )).++fof(fact_5868,axiom,(+ chea(radfahren_1_1,fahrradfahren_1_1) )).++fof(fact_5869,axiom,(+ chea(radieren_1_1,radieren_2_1) )).++fof(fact_5870,axiom,(+ chea(radieren_1_1,radierung_1_1) )).++fof(fact_5871,axiom,(+ chea(radikalisieren_1_1,radikalisierung_1_1) )).++fof(fact_5872,axiom,(+ chea(radizieren_1_1,radizieren_2_1) )).++fof(fact_5873,axiom,(+ chea(radizieren_1_1,radizierung_1_1) )).++fof(fact_5874,axiom,(+ chea(radschlagen_1_1,radschlagen_2_1) )).++fof(fact_5875,axiom,(+ chea(raffen_1_1,raffen_2_1) )).++fof(fact_5876,axiom,(+ chea(raffen_1_1,raffung_1_1) )).++fof(fact_5877,axiom,(+ chea(raffinieren_1_1,raffination_1_1) )).++fof(fact_5878,axiom,(+ chea(raffinieren_1_1,raffinieren_2_1) )).++fof(fact_5879,axiom,(+ chea(raffinieren_1_1,raffinierung_1_1) )).++fof(fact_5880,axiom,(+ chea(raffinieren_1_1,spezialisation_1_1) )).++fof(fact_5881,axiom,(+ chea(raffinieren_1_1,spezialisieren_2_1) )).++fof(fact_5882,axiom,(+ chea(raffinieren_1_1,spezialisierung_1_1) )).++fof(fact_5883,axiom,(+ chea(raffinieren_1_1,verfeinerung_1_1) )).++fof(fact_5884,axiom,(+ chea(rainen_1_1,rainung_1_1) )).++fof(fact_5885,axiom,(+ chea(ramponieren_1_1,zurichten_2_1) )).++fof(fact_5886,axiom,(+ chea(ramponieren_1_1,zurichtung_1_1) )).++fof(fact_5887,axiom,(+ chea(randalieren_1_1,randalieren_2_1) )).++fof(fact_5888,axiom,(+ chea(rangieren_1_1,rangierung_1_1) )).++fof(fact_5889,axiom,(+ chea(rapportieren_1_1,rapportieren_2_1) )).++fof(fact_5890,axiom,(+ chea(rascheln_1_1,rascheln_2_1) )).++fof(fact_5891,axiom,(+ chea(rasieren_1_1,rasieren_2_1) )).++fof(fact_5892,axiom,(+ chea(raspeln_1_1,raspeln_2_1) )).++fof(fact_5893,axiom,(+ chea(rasseln_1_1,rasseln_2_1) )).++fof(fact_5894,axiom,(+ chea(ratifizieren_1_1,inkraftsetzung_1_1) )).++fof(fact_5895,axiom,(+ chea(rationalisieren_1_1,arbeitsplatzabbau_1_1) )).++fof(fact_5896,axiom,(+ chea(rationalisieren_1_1,rationalisieren_2_1) )).++fof(fact_5897,axiom,(+ chea(rationieren_1_1,kontingentierung_1_1) )).++fof(fact_5898,axiom,(+ chea(ratschen_1_1,ratschen_2_1) )).++fof(fact_5899,axiom,(+ chea(ratschen_1_1,tratschen_2_1) )).++fof(fact_5900,axiom,(+ chea(rauhen_1_1,rauhen_2_1) )).++fof(fact_5901,axiom,(+ chea(raunen_1_1,gefl__374ster_1_1) )).++fof(fact_5902,axiom,(+ chea(raunen_1_1,geraune_1_1) )).++fof(fact_5903,axiom,(+ chea(raupen_1_1,raupen_2_1) )).++fof(fact_5904,axiom,(+ chea(rausfliegen_1_1,rausfliegen_2_1) )).++fof(fact_5905,axiom,(+ chea(raushalten_1_1,raushalten_2_1) )).++fof(fact_5906,axiom,(+ chea(reaktivieren_1_1,reaktivieren_2_1) )).++fof(fact_5907,axiom,(+ chea(reaktivieren_1_1,reaktivierung_1_1) )).++fof(fact_5908,axiom,(+ chea(reaktivieren_1_1,reanimation_1_1) )).++fof(fact_5909,axiom,(+ chea(reaktivieren_1_1,reanimierung_1_1) )).++fof(fact_5910,axiom,(+ chea(reaktivieren_1_1,revitalisieren_2_1) )).++fof(fact_5911,axiom,(+ chea(reaktivieren_1_1,revitalisierung_1_1) )).++fof(fact_5912,axiom,(+ chea(realisieren_1_1,durchf__374hrung_1_1) )).++fof(fact_5913,axiom,(+ chea(realisieren_1_2,realisierung_1_2) )).++fof(fact_5914,axiom,(+ chea(recherchieren_1_1,recherchieren_2_1) )).++fof(fact_5915,axiom,(+ chea(rechnen_2_1,rechnung_1_4) )).++fof(fact_5916,axiom,(+ chea(rechnen_2_2,rechnung_1_2) )).++fof(fact_5917,axiom,(+ chea(rechtschreiben_1_1,or_thogra_phie_1_1) )).++fof(fact_5918,axiom,(+ chea(rechtschreiben_1_1,rechtschreiben_2_1) )).++fof(fact_5919,axiom,(+ chea(recyceln_1_1,recyceln_2_1) )).++fof(fact_5920,axiom,(+ chea(recyceln_1_1,wiederverwenden_2_1) )).++fof(fact_5921,axiom,(+ chea(recyceln_1_1,wiederverwendung_1_1) )).++fof(fact_5922,axiom,(+ chea(redigieren_1_1,redigation_1_1) )).++fof(fact_5923,axiom,(+ chea(redigieren_1_1,redigieren_2_1) )).++fof(fact_5924,axiom,(+ chea(redigieren_1_1,redigierung_1_1) )).++fof(fact_5925,axiom,(+ chea(reduzieren_1_1,reduktion_1_1) )).++fof(fact_5926,axiom,(+ chea(reduzieren_1_1,reduzieren_2_1) )).++fof(fact_5927,axiom,(+ chea(reduzieren_1_1,senkung_1_1) )).++fof(fact_5928,axiom,(+ chea(referieren_1_1,referieren_2_1) )).++fof(fact_5929,axiom,(+ chea(reflektieren_1_2,reflektion_1_1) )).++fof(fact_5930,axiom,(+ chea(reflektieren_1_2,reflexion_1_2) )).++fof(fact_5931,axiom,(+ chea(reformieren_1_1,neuanfang_1_1) )).++fof(fact_5932,axiom,(+ chea(reformieren_1_1,neuausrichtung_1_1) )).++fof(fact_5933,axiom,(+ chea(reformieren_1_1,reformieren_2_1) )).++fof(fact_5934,axiom,(+ chea(reformieren_1_1,reformierung_1_1) )).++fof(fact_5935,axiom,(+ chea(reformulieren_1_1,reformulierung_1_1) )).++fof(fact_5936,axiom,(+ chea(refundieren_1_1,refundierung_1_1) )).++fof(fact_5937,axiom,(+ chea(regen_2_1,regung_1_1) )).++fof(fact_5938,axiom,(+ chea(regen_2_2,regung_1_2) )).++fof(fact_5939,axiom,(+ chea(regen_2_3,regung_1_3) )).++fof(fact_5940,axiom,(+ chea(regen_2_4,regung_1_4) )).++fof(fact_5941,axiom,(+ chea(regenerieren_1_1,regeneration_1_1) )).++fof(fact_5942,axiom,(+ chea(regenerieren_1_1,regenerieren_2_1) )).++fof(fact_5943,axiom,(+ chea(regenerieren_1_1,regenerierung_1_1) )).++fof(fact_5944,axiom,(+ chea(regionalisieren_1_1,regionalisierung_1_1) )).++fof(fact_5945,axiom,(+ chea(registrieren_1_2,registrierung_1_2) )).++fof(fact_5946,axiom,(+ chea(registrieren_1_3,registrierung_1_3) )).++fof(fact_5947,axiom,(+ chea(reglementieren_1_1,reglementation_1_1) )).++fof(fact_5948,axiom,(+ chea(reglementieren_1_1,reglementierung_1_1) )).++fof(fact_5949,axiom,(+ chea(regnen_1_1,regnen_2_1) )).++fof(fact_5950,axiom,(+ chea(regulieren_1_1,regulation_1_1) )).++fof(fact_5951,axiom,(+ chea(regulieren_1_1,regulieren_2_1) )).++fof(fact_5952,axiom,(+ chea(regulieren_1_1,regulierung_1_1) )).++fof(fact_5953,axiom,(+ chea(regulieren_1_1,steuerung_1_1) )).++fof(fact_5954,axiom,(+ chea(rehabilitieren_1_1,rehabilitation_1_2) )).++fof(fact_5955,axiom,(+ chea(rehabilitieren_1_2,reha_1_1) )).++fof(fact_5956,axiom,(+ chea(reiben_1_1,reibung_1_1) )).++fof(fact_5957,axiom,(+ chea(reiben_1_2,reibung_1_2) )).++fof(fact_5958,axiom,(+ chea(reifen_1_1,reifung_1_1) )).++fof(fact_5959,axiom,(+ chea(reihen_1_1,reihung_1_1) )).++fof(fact_5960,axiom,(+ chea(reinkommen_1_1,reinkommen_2_1) )).++fof(fact_5961,axiom,(+ chea(reinwaschen_1_1,reinwaschen_2_1) )).++fof(fact_5962,axiom,(+ chea(reinwaschen_1_1,reinwaschung_1_1) )).++fof(fact_5963,axiom,(+ chea(reisen_1_1,reisen_2_1) )).++fof(fact_5964,axiom,(+ chea(rekapitulieren_1_1,rekapitulation_1_1) )).++fof(fact_5965,axiom,(+ chea(rekapitulieren_1_1,rekapitulierung_1_1) )).++fof(fact_5966,axiom,(+ chea(reklamieren_1_1,beanstandung_1_1) )).++fof(fact_5967,axiom,(+ chea(reklamieren_1_1,reklamieren_2_1) )).++fof(fact_5968,axiom,(+ chea(reklamieren_1_1,umtauschen_2_1) )).++fof(fact_5969,axiom,(+ chea(rekognoszieren_1_1,erkundung_1_1) )).++fof(fact_5970,axiom,(+ chea(rekognoszieren_1_1,rekognoszieren_2_1) )).++fof(fact_5971,axiom,(+ chea(rekommandieren_1_1,rekommandation_1_1) )).++fof(fact_5972,axiom,(+ chea(rekonstruieren_1_1,rekonstruieren_2_1) )).++fof(fact_5973,axiom,(+ chea(rekonstruieren_1_1,rekonstruierung_1_1) )).++fof(fact_5974,axiom,(+ chea(rekonstruieren_1_1,wiederaufbauen_2_1) )).++fof(fact_5975,axiom,(+ chea(rekreieren_1_1,rekreation_1_1) )).++fof(fact_5976,axiom,(+ chea(rekrutieren_1_1,rekrutierung_1_1) )).++fof(fact_5977,axiom,(+ chea(rektifizieren_1_1,rektifizieren_2_1) )).++fof(fact_5978,axiom,(+ chea(rektifizieren_1_1,rektifizierung_1_1) )).++fof(fact_5979,axiom,(+ chea(rekultivieren_1_1,rekultivieren_2_1) )).++fof(fact_5980,axiom,(+ chea(rekurrieren_1_1,rekurrierung_1_1) )).++fof(fact_5981,axiom,(+ chea(relativieren_1_2,relativierung_1_1) )).++fof(fact_5982,axiom,(+ chea(relegieren_1_1,relegation_1_1) )).++fof(fact_5983,axiom,(+ chea(relegieren_1_1,relegierung_1_1) )).++fof(fact_5984,axiom,(+ chea(remilitarisieren_1_1,remilitarisierung_1_1) )).++fof(fact_5985,axiom,(+ chea(remontieren_1_1,remontieren_2_1) )).++fof(fact_5986,axiom,(+ chea(remontieren_1_1,remontierung_1_1) )).++fof(fact_5987,axiom,(+ chea(remunerieren_1_1,remuneration_1_1) )).++fof(fact_5988,axiom,(+ chea(renaturieren_1_1,renaturieren_2_1) )).++fof(fact_5989,axiom,(+ chea(renaturieren_1_1,renaturierung_1_1) )).++fof(fact_5990,axiom,(+ chea(renken_1_1,renken_2_1) )).++fof(fact_5991,axiom,(+ chea(rennen_1_1,rennen_2_1) )).++fof(fact_5992,axiom,(+ chea(rennen_1_1,sprinten_2_1) )).++fof(fact_5993,axiom,(+ chea(rennen_1_1,spurten_2_1) )).++fof(fact_5994,axiom,(+ chea(renovieren_1_1,modernisierung_1_1) )).++fof(fact_5995,axiom,(+ chea(renovieren_1_1,renovieren_2_1) )).++fof(fact_5996,axiom,(+ chea(rentieren_1_1,rentieren_2_1) )).++fof(fact_5997,axiom,(+ chea(renumerieren_1_1,renumeration_1_1) )).++fof(fact_5998,axiom,(+ chea(reorganisieren_1_1,neuanfang_1_1) )).++fof(fact_5999,axiom,(+ chea(reorganisieren_1_1,reorganisieren_2_1) )).++fof(fact_6000,axiom,(+ chea(reorganisieren_1_1,reorganisierung_1_1) )).++fof(fact_6001,axiom,(+ chea(reorganisieren_1_1,umgruppierung_1_1) )).++fof(fact_6002,axiom,(+ chea(reparieren_1_1,korrektur_1_1) )).++fof(fact_6003,axiom,(+ chea(reparieren_1_1,reparation_1_1) )).++fof(fact_6004,axiom,(+ chea(reparieren_1_1,reparieren_2_1) )).++fof(fact_6005,axiom,(+ chea(repatriieren_1_1,repatriation_1_1) )).++fof(fact_6006,axiom,(+ chea(repatriieren_1_1,repatriierung_1_1) )).++fof(fact_6007,axiom,(+ chea(repetieren_1_1,repetieren_2_1) )).++fof(fact_6008,axiom,(+ chea(replizieren_1_1,replizieren_2_1) )).++fof(fact_6009,axiom,(+ chea(replizieren_1_1,replizierung_1_1) )).++fof(fact_6010,axiom,(+ chea(reprobieren_1_1,reprobation_1_1) )).++fof(fact_6011,axiom,(+ chea(reproduzieren_1_1,reproduzieren_2_1) )).++fof(fact_6012,axiom,(+ chea(reproduzieren_1_1,reproduzierung_1_1) )).++fof(fact_6013,axiom,(+ chea(requirieren_1_1,requirierung_1_1) )).++fof(fact_6014,axiom,(+ chea(reservieren_1_2,reservation_1_2) )).++fof(fact_6015,axiom,(+ chea(reservieren_1_2,reservierung_1_2) )).++fof(fact_6016,axiom,(+ chea(resignieren_1_1,resignation_1_1) )).++fof(fact_6017,axiom,(+ chea(resignieren_1_1,resignieren_2_1) )).++fof(fact_6018,axiom,(+ chea(resozialisieren_1_1,resozialisation_1_1) )).++fof(fact_6019,axiom,(+ chea(resozialisieren_1_1,resozialisierung_1_1) )).++fof(fact_6020,axiom,(+ chea(respektieren_1_1,respektieren_2_1) )).++fof(fact_6021,axiom,(+ chea(respektieren_1_1,respektierung_1_1) )).++fof(fact_6022,axiom,(+ chea(respirieren_1_1,respiration_1_1) )).++fof(fact_6023,axiom,(+ chea(restaurieren_1_1,reproduktion_1_1) )).++fof(fact_6024,axiom,(+ chea(restaurieren_1_1,restauration_1_1) )).++fof(fact_6025,axiom,(+ chea(restaurieren_1_2,restauration_1_2) )).++fof(fact_6026,axiom,(+ chea(restituieren_1_1,restituieren_2_1) )).++fof(fact_6027,axiom,(+ chea(restituieren_1_1,restituierung_1_1) )).++fof(fact_6028,axiom,(+ chea(restituieren_1_1,zur__374ckerstattung_1_1) )).++fof(fact_6029,axiom,(+ chea(retardieren_1_1,entwicklungshemmung_1_1) )).++fof(fact_6030,axiom,(+ chea(retardieren_1_1,retardieren_2_1) )).++fof(fact_6031,axiom,(+ chea(retournieren_1_1,zur__374ckschicken_2_1) )).++fof(fact_6032,axiom,(+ chea(retournieren_1_1,zur__374cksendung_1_1) )).++fof(fact_6033,axiom,(+ chea(retten_1_1,retten_2_1) )).++fof(fact_6034,axiom,(+ chea(retten_1_1,rettung_1_1) )).++fof(fact_6035,axiom,(+ chea(retuschieren_1_1,retuschieren_2_1) )).++fof(fact_6036,axiom,(+ chea(reunieren_1_1,reunierung_1_1) )).++fof(fact_6037,axiom,(+ chea(revakzinieren_1_1,revakzination_1_1) )).++fof(fact_6038,axiom,(+ chea(revalieren_1_1,revalierung_1_1) )).++fof(fact_6039,axiom,(+ chea(revidieren_1_1,revidieren_2_1) )).++fof(fact_6040,axiom,(+ chea(revidieren_1_1,revidierung_1_1) )).++fof(fact_6041,axiom,(+ chea(revieren_1_1,revieren_2_1) )).++fof(fact_6042,axiom,(+ chea(revoltieren_1_1,revoltieren_2_1) )).++fof(fact_6043,axiom,(+ chea(revolutionieren_1_1,revolutionierung_1_1) )).++fof(fact_6044,axiom,(+ chea(rezensieren_1_1,rezensieren_2_1) )).++fof(fact_6045,axiom,(+ chea(rezeptieren_1_1,rezeptieren_2_1) )).++fof(fact_6046,axiom,(+ chea(rezeptieren_1_1,rezeptierung_1_1) )).++fof(fact_6047,axiom,(+ chea(rezipieren_1_1,rezipieren_2_1) )).++fof(fact_6048,axiom,(+ chea(rezitieren_1_1,rezitation_1_1) )).++fof(fact_6049,axiom,(+ chea(rezitieren_1_1,rezitieren_2_1) )).++fof(fact_6050,axiom,(+ chea(rezitieren_1_1,vorsagen_2_1) )).++fof(fact_6051,axiom,(+ chea(riefen_1_1,riefung_1_1) )).++fof(fact_6052,axiom,(+ chea(rieseln_1_1,rieseln_2_1) )).++fof(fact_6053,axiom,(+ chea(riffeln_1_1,riffeln_2_1) )).++fof(fact_6054,axiom,(+ chea(rillen_1_1,rillen_2_1) )).++fof(fact_6055,axiom,(+ chea(rillen_1_1,rillung_1_1) )).++fof(fact_6056,axiom,(+ chea(rillen_1_1,r__344ndeln_2_1) )).++fof(fact_6057,axiom,(+ chea(ringeln_1_1,ringeln_2_1) )).++fof(fact_6058,axiom,(+ chea(rinnen_1_1,rinnen_2_1) )).++fof(fact_6059,axiom,(+ chea(rippen_1_1,rippen_2_1) )).++fof(fact_6060,axiom,(+ chea(rippen_1_1,rippung_1_1) )).++fof(fact_6061,axiom,(+ chea(ritualisieren_1_1,ritualisierung_1_1) )).++fof(fact_6062,axiom,(+ chea(ritzen_1_1,ritzen_2_1) )).++fof(fact_6063,axiom,(+ chea(ritzen_1_1,ritzung_1_1) )).++fof(fact_6064,axiom,(+ chea(rivalisieren_1_1,rivalisieren_2_1) )).++fof(fact_6065,axiom,(+ chea(rivalisieren_1_1,rivalisierung_1_1) )).++fof(fact_6066,axiom,(+ chea(robben_1_1,robben_2_1) )).++fof(fact_6067,axiom,(+ chea(rochieren_1_1,rochieren_2_1) )).++fof(fact_6068,axiom,(+ chea(rodeln_1_1,rodeln_2_1) )).++fof(fact_6069,axiom,(+ chea(rollieren_1_1,rollieren_2_1) )).++fof(fact_6070,axiom,(+ chea(romanisieren_1_1,romanisation_1_1) )).++fof(fact_6071,axiom,(+ chea(romanisieren_1_1,romanisierung_1_1) )).++fof(fact_6072,axiom,(+ chea(romantisieren_1_1,romantisierung_1_1) )).++fof(fact_6073,axiom,(+ chea(rotieren_1_1,rotation_1_1) )).++fof(fact_6074,axiom,(+ chea(rotsehen_1_1,rotsehen_2_1) )).++fof(fact_6075,axiom,(+ chea(rotten_1_1,rotten_2_1) )).++fof(fact_6076,axiom,(+ chea(rotzen_1_1,spucken_2_1) )).++fof(fact_6077,axiom,(+ chea(rubbeln_1_1,rubbeln_2_1) )).++fof(fact_6078,axiom,(+ chea(rucken_1_1,rucken_2_1) )).++fof(fact_6079,axiom,(+ chea(ruhen_1_1,ruhen_3_1) )).++fof(fact_6080,axiom,(+ chea(ruinieren_1_1,ruinieren_2_1) )).++fof(fact_6081,axiom,(+ chea(ruinieren_1_1,ruinierung_1_1) )).++fof(fact_6082,axiom,(+ chea(rumh__344ngen_1_1,rumh__344ngen_2_1) )).++fof(fact_6083,axiom,(+ chea(rummeln_1_1,rummeln_2_1) )).++fof(fact_6084,axiom,(+ chea(rumoren_1_1,rumoren_2_1) )).++fof(fact_6085,axiom,(+ chea(rumpeln_1_1,rumpeln_2_1) )).++fof(fact_6086,axiom,(+ chea(runterfallen_1_1,runterfallen_2_1) )).++fof(fact_6087,axiom,(+ chea(runterschalten_1_1,runterschalten_2_1) )).++fof(fact_6088,axiom,(+ chea(ru__337en_1_1,ru__337en_2_1) )).++fof(fact_6089,axiom,(+ chea(r__344sonieren_1_1,r__344sonieren_2_1) )).++fof(fact_6090,axiom,(+ chea(r__344sonieren_1_1,r__344sonierung_1_1) )).++fof(fact_6091,axiom,(+ chea(r__344tseln_1_1,r__344tseln_2_1) )).++fof(fact_6092,axiom,(+ chea(r__344uchern_1_1,r__344uchern_2_1) )).++fof(fact_6093,axiom,(+ chea(r__344umen_1_1,evakuierung_1_1) )).++fof(fact_6094,axiom,(+ chea(r__366hren_1_1,r__366hren_2_1) )).++fof(fact_6095,axiom,(+ chea(r__366ntgen_1_1,r__366ntgen_2_1) )).++fof(fact_6096,axiom,(+ chea(r__366sten_1_1,r__366sten_2_1) )).++fof(fact_6097,axiom,(+ chea(r__366sten_1_1,r__366stung_1_1) )).++fof(fact_6098,axiom,(+ chea(r__366ten_1_1,r__366ten_2_1) )).++fof(fact_6099,axiom,(+ chea(r__366ten_1_1,r__366tung_1_1) )).++fof(fact_6100,axiom,(+ chea(r__374ckdatieren_1_1,r__374ckdatieren_2_1) )).++fof(fact_6101,axiom,(+ chea(r__374ckdatieren_1_1,r__374ckdatierung_1_1) )).++fof(fact_6102,axiom,(+ chea(r__374ckenschwimmen_1_1,r__374cken_schwimmen_1_1) )).++fof(fact_6103,axiom,(+ chea(r__374ckverg__374ten_1_1,r__374ckverg__374tung_1_1) )).++fof(fact_6104,axiom,(+ chea(r__374lpsen_1_1,aufsto__337en_3_1) )).++fof(fact_6105,axiom,(+ chea(r__374sten_1_1,r__374sten_2_1) )).++fof(fact_6106,axiom,(+ chea(r__374sten_1_1,r__374stung_1_2) )).++fof(fact_6107,axiom,(+ chea(sacken_1_1,sackung_1_1) )).++fof(fact_6108,axiom,(+ chea(sahnen_1_1,sahnen_2_1) )).++fof(fact_6109,axiom,(+ chea(salben_1_1,salben_2_1) )).++fof(fact_6110,axiom,(+ chea(salben_1_1,salbung_1_1) )).++fof(fact_6111,axiom,(+ chea(saldieren_1_1,saldierung_1_1) )).++fof(fact_6112,axiom,(+ chea(salvieren_1_1,salvation_1_1) )).++fof(fact_6113,axiom,(+ chea(salzen_1_1,salzen_2_1) )).++fof(fact_6114,axiom,(+ chea(salzen_1_1,salzung_1_1) )).++fof(fact_6115,axiom,(+ chea(sammeln_1_1,sammlung_1_1) )).++fof(fact_6116,axiom,(+ chea(sanieren_1_1,sanieren_2_1) )).++fof(fact_6117,axiom,(+ chea(sanieren_1_1,sanierung_1_1) )).++fof(fact_6118,axiom,(+ chea(sanktionieren_1_1,sanktion_1_1) )).++fof(fact_6119,axiom,(+ chea(satteln_1_1,satteln_2_1) )).++fof(fact_6120,axiom,(+ chea(saturieren_1_1,sattheit_1_1) )).++fof(fact_6121,axiom,(+ chea(sauberhalten_1_1,sauberhalten_2_1) )).++fof(fact_6122,axiom,(+ chea(saubermachen_1_1,saubermachen_2_1) )).++fof(fact_6123,axiom,(+ chea(saufen_1_1,saufen_2_1) )).++fof(fact_6124,axiom,(+ chea(saufen_1_1,sauferei_1_1) )).++fof(fact_6125,axiom,(+ chea(schaben_1_1,schaben_2_1) )).++fof(fact_6126,axiom,(+ chea(schablonisieren_1_1,schablonisierung_1_1) )).++fof(fact_6127,axiom,(+ chea(schaffen_1_2,schaffung_1_2) )).++fof(fact_6128,axiom,(+ chea(schaffen_2_1,schaffung_1_1) )).++fof(fact_6129,axiom,(+ chea(schalen_1_1,geh__344use_1_1) )).++fof(fact_6130,axiom,(+ chea(schalen_1_1,schalen_2_1) )).++fof(fact_6131,axiom,(+ chea(schanghaien_1_1,schanghaien_2_1) )).++fof(fact_6132,axiom,(+ chea(scharfmachen_1_1,scharfmachen_2_1) )).++fof(fact_6133,axiom,(+ chea(scharfmachen_1_1,sch__344rfung_1_1) )).++fof(fact_6134,axiom,(+ chea(scharm__374tzeln_1_1,scharm__374tzeln_2_1) )).++fof(fact_6135,axiom,(+ chea(scharrieren_1_1,scharrieren_2_1) )).++fof(fact_6136,axiom,(+ chea(scharwenzeln_1_1,trippeln_2_1) )).++fof(fact_6137,axiom,(+ chea(scharwenzeln_1_1,t__344nzeln_2_1) )).++fof(fact_6138,axiom,(+ chea(schatten_2_1,schatten__1_1) )).++fof(fact_6139,axiom,(+ chea(scheiden_1_1,scheidung_1_1) )).++fof(fact_6140,axiom,(+ chea(scheiden_1_2,scheidung_1_2) )).++fof(fact_6141,axiom,(+ chea(scheiteln_1_1,scheiteln_2_1) )).++fof(fact_6142,axiom,(+ chea(schematisieren_1_1,schematisierung_1_1) )).++fof(fact_6143,axiom,(+ chea(scheren_1_3,schur_1_1) )).++fof(fact_6144,axiom,(+ chea(scheuchen_1_1,scheuchen_2_1) )).++fof(fact_6145,axiom,(+ chea(scheuern_1_1,schrubben_2_1) )).++fof(fact_6146,axiom,(+ chea(schichten_1_1,schichten_2_1) )).++fof(fact_6147,axiom,(+ chea(schichten_1_1,schichtung_1_1) )).++fof(fact_6148,axiom,(+ chea(schienen_1_1,schienen_2_1) )).++fof(fact_6149,axiom,(+ chea(schienen_1_1,schienung_1_1) )).++fof(fact_6150,axiom,(+ chea(schieren_1_1,schieren_2_1) )).++fof(fact_6151,axiom,(+ chea(schiffen_1_1,schiffen_2_1) )).++fof(fact_6152,axiom,(+ chea(schiffen_1_1,schiffung_1_1) )).++fof(fact_6153,axiom,(+ chea(schiften_1_1,schiften_2_1) )).++fof(fact_6154,axiom,(+ chea(schiften_1_1,schiftung_1_1) )).++fof(fact_6155,axiom,(+ chea(schikanieren_1_1,schikanieren_2_1) )).++fof(fact_6156,axiom,(+ chea(schikanieren_1_1,schikanierung_1_1) )).++fof(fact_6157,axiom,(+ chea(schimmeln_1_1,schimmeln_2_1) )).++fof(fact_6158,axiom,(+ chea(schinden_1_1,schinden_2_1) )).++fof(fact_6159,axiom,(+ chea(schinden_1_1,schindung_1_1) )).++fof(fact_6160,axiom,(+ chea(schirmen_1_1,schirmung_1_1) )).++fof(fact_6161,axiom,(+ chea(schlachten_1_1,schlachten_2_1) )).++fof(fact_6162,axiom,(+ chea(schlachten_1_1,schlachtung_1_1) )).++fof(fact_6163,axiom,(+ chea(schlacken_1_1,schlacken_2_1) )).++fof(fact_6164,axiom,(+ chea(schlafwandeln_1_1,schlafwandeln_2_1) )).++fof(fact_6165,axiom,(+ chea(schlappmachen_1_1,schlappmachen_2_1) )).++fof(fact_6166,axiom,(+ chea(schlechtmachen_1_1,schlechtmachen_2_1) )).++fof(fact_6167,axiom,(+ chea(schleichen_1_1,schleichen_2_1) )).++fof(fact_6168,axiom,(+ chea(schleifen_1_1,schleifung_1_1) )).++fof(fact_6169,axiom,(+ chea(schlei__337en_1_1,schlei__337en_2_1) )).++fof(fact_6170,axiom,(+ chea(schleppen_1_1,schleppen_2_1) )).++fof(fact_6171,axiom,(+ chea(schleppen_1_1,schleppung_1_1) )).++fof(fact_6172,axiom,(+ chea(schleusen_1_1,schleusen_2_1) )).++fof(fact_6173,axiom,(+ chea(schleusen_1_1,schleusung_1_1) )).++fof(fact_6174,axiom,(+ chea(schlichten_1_1,beilegung_1_1) )).++fof(fact_6175,axiom,(+ chea(schlichten_1_1,schlichten_2_1) )).++fof(fact_6176,axiom,(+ chea(schlie__337en_1_1,schlie__337ung_1_2) )).++fof(fact_6177,axiom,(+ chea(schlie__337en_1_2,schlie__337ung_1_3) )).++fof(fact_6178,axiom,(+ chea(schlie__337en_1_5,schlie__337ung_1_1) )).++fof(fact_6179,axiom,(+ chea(schlingen_1_1,schlingen_2_1) )).++fof(fact_6180,axiom,(+ chea(schlitteln_1_1,schlitteln_2_1) )).++fof(fact_6181,axiom,(+ chea(schlitzen_1_1,schlitzen_2_1) )).++fof(fact_6182,axiom,(+ chea(schlitzen_1_1,schlitzung_1_1) )).++fof(fact_6183,axiom,(+ chea(schlurfen_1_1,schlurfen_2_1) )).++fof(fact_6184,axiom,(+ chea(schl__344mmen_1_1,schl__344mmen_2_1) )).++fof(fact_6185,axiom,(+ chea(schl__344mmen_1_1,schl__344mmung_1_1) )).++fof(fact_6186,axiom,(+ chea(schl__344ngeln_1_1,schl__344ngeln_2_1) )).++fof(fact_6187,axiom,(+ chea(schl__374sseln_1_1,schl__374sseln_2_1) )).++fof(fact_6188,axiom,(+ chea(schmachten_1_1,schmachten_2_1) )).++fof(fact_6189,axiom,(+ chea(schmalzen_1_1,schmalzen_2_1) )).++fof(fact_6190,axiom,(+ chea(schmatzen_1_1,schmatzen_2_1) )).++fof(fact_6191,axiom,(+ chea(schmausen_1_1,schmausen_2_1) )).++fof(fact_6192,axiom,(+ chea(schmelzen_1_1,schmelzung_1_1) )).++fof(fact_6193,axiom,(+ chea(schmelzen_2_1,schmelzung_1_2) )).++fof(fact_6194,axiom,(+ chea(schmerzen_1_1,schmerzen_2_1) )).++fof(fact_6195,axiom,(+ chea(schmieden_1_1,schmieden_2_1) )).++fof(fact_6196,axiom,(+ chea(schmieden_1_1,schmiedung_1_1) )).++fof(fact_6197,axiom,(+ chea(schmieren_1_1,schmierung_1_1) )).++fof(fact_6198,axiom,(+ chea(schminken_1_1,schminken_2_1) )).++fof(fact_6199,axiom,(+ chea(schmollen_1_1,schmollen_2_1) )).++fof(fact_6200,axiom,(+ chea(schmoren_1_3,schwelen_2_1) )).++fof(fact_6201,axiom,(+ chea(schmoren_1_3,schwelung_1_1) )).++fof(fact_6202,axiom,(+ chea(schmuggeln_1_1,schmuggeln_2_1) )).++fof(fact_6203,axiom,(+ chea(schmunzeln_1_1,schmunzeln_2_1) )).++fof(fact_6204,axiom,(+ chea(schm__344hen_1_1,affront_1_1) )).++fof(fact_6205,axiom,(+ chea(schm__344lern_1_1,schm__344lerung_1_1) )).++fof(fact_6206,axiom,(+ chea(schm__344lern_1_2,schm__344lerung_1_2) )).++fof(fact_6207,axiom,(+ chea(schm__374cken_1_1,schm__374ckung_1_1) )).++fof(fact_6208,axiom,(+ chea(schnalzen_1_1,schnalzen_2_1) )).++fof(fact_6209,axiom,(+ chea(schnarchen_1_1,schnarchen_2_1) )).++fof(fact_6210,axiom,(+ chea(schneien_1_1,schneien_2_1) )).++fof(fact_6211,axiom,(+ chea(schnellen_1_1,schnellen_2_1) )).++fof(fact_6212,axiom,(+ chea(schneuzen_1_1,schneuzen_2_1) )).++fof(fact_6213,axiom,(+ chea(schnuppern_1_1,schn__374ffeln_2_1) )).++fof(fact_6214,axiom,(+ chea(schnurren_1_1,schnurren_2_1) )).++fof(fact_6215,axiom,(+ chea(schocken_1_1,schocken_2_1) )).++fof(fact_6216,axiom,(+ chea(schocken_1_1,schockieren_2_1) )).++fof(fact_6217,axiom,(+ chea(schonen_1_1,schonen_2_1) )).++fof(fact_6218,axiom,(+ chea(schonen_1_1,schonung_1_1) )).++fof(fact_6219,axiom,(+ chea(schonen_1_1,verschonen_2_1) )).++fof(fact_6220,axiom,(+ chea(schonen_1_1,verschonung_1_1) )).++fof(fact_6221,axiom,(+ chea(schoppen_1_1,schoppen_2_1) )).++fof(fact_6222,axiom,(+ chea(schossen_1_1,schossen_2_1) )).++fof(fact_6223,axiom,(+ chea(schraffieren_1_1,schraffieren_2_1) )).++fof(fact_6224,axiom,(+ chea(schraffieren_1_1,schraffierung_1_1) )).++fof(fact_6225,axiom,(+ chea(schranken_1_1,schranken_2_1) )).++fof(fact_6226,axiom,(+ chea(schrecken_2_1,n344ngsten_2_1) )).++fof(fact_6227,axiom,(+ chea(schreiben_1_1,schreibung_1_1) )).++fof(fact_6228,axiom,(+ chea(schreien_1_1,gebr__374ll_1_1) )).++fof(fact_6229,axiom,(+ chea(schrillen_1_1,schrillen_2_1) )).++fof(fact_6230,axiom,(+ chea(schroten_1_1,schrotung_1_1) )).++fof(fact_6231,axiom,(+ chea(schrumpfen_1_1,schrumpfen_2_1) )).++fof(fact_6232,axiom,(+ chea(schrumpfen_1_1,schrumpfung_1_1) )).++fof(fact_6233,axiom,(+ chea(schr__344nken_1_1,schr__344nken_2_1) )).++fof(fact_6234,axiom,(+ chea(schr__344nken_1_1,schr__344nkung_1_1) )).++fof(fact_6235,axiom,(+ chea(schr__366pfen_1_1,schr__366pfen_2_1) )).++fof(fact_6236,axiom,(+ chea(schr__366pfen_1_1,schr__366pfung_1_1) )).++fof(fact_6237,axiom,(+ chea(schubsen_1_1,schubsen_2_1) )).++fof(fact_6238,axiom,(+ chea(schulden_2_1,verdanken_2_1) )).++fof(fact_6239,axiom,(+ chea(schulden_2_1,verdankung_1_1) )).++fof(fact_6240,axiom,(+ chea(schulen_1_1,schulung_1_2) )).++fof(fact_6241,axiom,(+ chea(schulen_1_2,schulung_1_1) )).++fof(fact_6242,axiom,(+ chea(schunkeln_1_1,schunkeln_2_1) )).++fof(fact_6243,axiom,(+ chea(schupfen_1_1,schupfen_2_1) )).++fof(fact_6244,axiom,(+ chea(schwabbeln_1_1,schwabbeln_2_1) )).++fof(fact_6245,axiom,(+ chea(schwanen_1_1,schwanen_2_1) )).++fof(fact_6246,axiom,(+ chea(schwanken_1_1,schwanken_2_1) )).++fof(fact_6247,axiom,(+ chea(schwanken_1_1,schwankung_1_1) )).++fof(fact_6248,axiom,(+ chea(schwarzfahren_1_1,schwarzfahren_2_1) )).++fof(fact_6249,axiom,(+ chea(schwarzh__366ren_1_1,schwarzh__366ren_2_1) )).++fof(fact_6250,axiom,(+ chea(schwarzschlachten_1_1,schwarzschlachten_2_1) )).++fof(fact_6251,axiom,(+ chea(schwarzschlachten_1_1,schwarzschlachtung_1_1) )).++fof(fact_6252,axiom,(+ chea(schwarzsehen_1_1,schwarzsehen_2_1) )).++fof(fact_6253,axiom,(+ chea(schwatzen_1_1,schwatzen_2_1) )).++fof(fact_6254,axiom,(+ chea(schweben_1_1,schweben_2_1) )).++fof(fact_6255,axiom,(+ chea(schweben_1_1,schwebung_1_1) )).++fof(fact_6256,axiom,(+ chea(schwefeln_1_1,schwefeln_2_1) )).++fof(fact_6257,axiom,(+ chea(schweifen_1_1,schweifen_2_1) )).++fof(fact_6258,axiom,(+ chea(schwei__337en_1_1,schwei__337en_2_1) )).++fof(fact_6259,axiom,(+ chea(schwei__337en_1_1,schwei__337ung_1_1) )).++fof(fact_6260,axiom,(+ chea(schwenden_1_1,schwenden_2_1) )).++fof(fact_6261,axiom,(+ chea(schwenden_1_1,schwendung_1_1) )).++fof(fact_6262,axiom,(+ chea(schwenken_2_1,schwenkung_1_1) )).++fof(fact_6263,axiom,(+ chea(schwertun_1_1,schwertun_2_1) )).++fof(fact_6264,axiom,(+ chea(schwinden_1_1,schwinden_2_1) )).++fof(fact_6265,axiom,(+ chea(schwinden_1_1,schwindung_1_1) )).++fof(fact_6266,axiom,(+ chea(schwirren_1_1,schwirren_2_1) )).++fof(fact_6267,axiom,(+ chea(schwitzen_1_1,schwitzen_2_1) )).++fof(fact_6268,axiom,(+ chea(schwitzen_1_1,transpiration_1_1) )).++fof(fact_6269,axiom,(+ chea(schwitzen_1_1,transpirieren_2_1) )).++fof(fact_6270,axiom,(+ chea(schw__344chen_1_1,schw__344chen_2_1) )).++fof(fact_6271,axiom,(+ chea(schw__344chen_1_1,schw__344chung_1_1) )).++fof(fact_6272,axiom,(+ chea(schw__344rzen_1_1,schw__344rzen_2_1) )).++fof(fact_6273,axiom,(+ chea(schw__344rzen_1_1,schw__344rzung_1_1) )).++fof(fact_6274,axiom,(+ chea(schw__344tzen_1_1,schw__344tzen_2_1) )).++fof(fact_6275,axiom,(+ chea(sch__344chten_1_1,sch__344chten_2_1) )).++fof(fact_6276,axiom,(+ chea(sch__344chten_1_1,sch__344chtung_1_1) )).++fof(fact_6277,axiom,(+ chea(sch__344ften_1_1,sch__344ften_2_1) )).++fof(fact_6278,axiom,(+ chea(sch__344ften_1_1,sch__344ftung_1_1) )).++fof(fact_6279,axiom,(+ chea(sch__344len_1_1,sch__344lung_1_1) )).++fof(fact_6280,axiom,(+ chea(sch__344len_1_2,sch__344lung_1_2) )).++fof(fact_6281,axiom,(+ chea(sch__344nden_1_1,notzucht_1_1) )).++fof(fact_6282,axiom,(+ chea(sch__344nden_1_1,sch__344nden_2_1) )).++fof(fact_6283,axiom,(+ chea(sch__344nden_1_1,sch__344ndung_1_1) )).++fof(fact_6284,axiom,(+ chea(sch__344nden_1_1,vergewaltigen_2_1) )).++fof(fact_6285,axiom,(+ chea(sch__344tzenlernen_1_1,sch__344tzenlernen_2_1) )).++fof(fact_6286,axiom,(+ chea(sch__366nf__344rben_1_1,sch__366nf__344rbung_1_1) )).++fof(fact_6287,axiom,(+ chea(sch__366nschreiben_1_1,sch__366nschreiben_2_1) )).++fof(fact_6288,axiom,(+ chea(sch__366pfen_1_1,generierung_1_1) )).++fof(fact_6289,axiom,(+ chea(sch__374rfen_1_1,sch__374rfung_1_1) )).++fof(fact_6290,axiom,(+ chea(sch__374rfen_1_2,sch__374rfung_1_2) )).++fof(fact_6291,axiom,(+ chea(sch__374tzen_1_1,sch__374tzen_2_1) )).++fof(fact_6292,axiom,(+ chea(sch__374tzen_1_1,sch__374tzung_1_1) )).++fof(fact_6293,axiom,(+ chea(sedimentieren_1_1,sedimentation_1_1) )).++fof(fact_6294,axiom,(+ chea(sedimentieren_1_1,sedimentieren_2_1) )).++fof(fact_6295,axiom,(+ chea(sedimentieren_1_1,sedimentierung_1_1) )).++fof(fact_6296,axiom,(+ chea(segeln_1_1,segeln_2_1) )).++fof(fact_6297,axiom,(+ chea(segmentieren_1_1,segmentation_1_1) )).++fof(fact_6298,axiom,(+ chea(segmentieren_1_1,segmentieren_2_1) )).++fof(fact_6299,axiom,(+ chea(segnen_1_2,segnung_1_2) )).++fof(fact_6300,axiom,(+ chea(seifen_1_1,seifen_2_1) )).++fof(fact_6301,axiom,(+ chea(seilen_1_1,seilen_2_1) )).++fof(fact_6302,axiom,(+ chea(seiltanzen_1_1,seiltanzen_2_1) )).++fof(fact_6303,axiom,(+ chea(selektieren_1_1,erw__344hlung_1_1) )).++fof(fact_6304,axiom,(+ chea(selektieren_1_1,selektieren_2_1) )).++fof(fact_6305,axiom,(+ chea(selektieren_1_1,selektierung_1_1) )).++fof(fact_6306,axiom,(+ chea(selektionieren_1_1,selektionierung_1_1) )).++fof(fact_6307,axiom,(+ chea(seligpreisen_1_1,seligpreisung_1_1) )).++fof(fact_6308,axiom,(+ chea(sengen_1_1,sengen_2_1) )).++fof(fact_6309,axiom,(+ chea(sennen_1_1,sennen_2_1) )).++fof(fact_6310,axiom,(+ chea(sensibilisieren_1_1,sensibilisierung_1_1) )).++fof(fact_6311,axiom,(+ chea(sequestrieren_1_1,sequestration_1_1) )).++fof(fact_6312,axiom,(+ chea(sequestrieren_1_1,sequestrierung_1_1) )).++fof(fact_6313,axiom,(+ chea(serbeln_1_1,serbeln_2_1) )).++fof(fact_6314,axiom,(+ chea(servieren_1_1,servieren_2_1) )).++fof(fact_6315,axiom,(+ chea(servieren_1_1,servierung_1_1) )).++fof(fact_6316,axiom,(+ chea(seufzen_1_1,seufzen_2_1) )).++fof(fact_6317,axiom,(+ chea(seufzen_1_1,seufzer_1_1) )).++fof(fact_6318,axiom,(+ chea(sexualisieren_1_1,sexualisierung_1_1) )).++fof(fact_6319,axiom,(+ chea(sichern_1_1,bewahrung_1_1) )).++fof(fact_6320,axiom,(+ chea(sichten_1_2,sichtung_1_2) )).++fof(fact_6321,axiom,(+ chea(sieben__1_1,sieben_3_1) )).++fof(fact_6322,axiom,(+ chea(sieben__1_1,siebung_1_1) )).++fof(fact_6323,axiom,(+ chea(siechen_1_1,siechen_2_1) )).++fof(fact_6324,axiom,(+ chea(siedeln_1_1,siedeln_2_1) )).++fof(fact_6325,axiom,(+ chea(siegeln_1_1,siegeln_2_1) )).++fof(fact_6326,axiom,(+ chea(siegeln_1_1,versiegeln_2_1) )).++fof(fact_6327,axiom,(+ chea(siegeln_1_1,versiegelung_1_1) )).++fof(fact_6328,axiom,(+ chea(siegen_1_1,gewinn_2_1) )).++fof(fact_6329,axiom,(+ chea(siezen_1_1,siezen_2_1) )).++fof(fact_6330,axiom,(+ chea(signieren_1_1,signation_1_1) )).++fof(fact_6331,axiom,(+ chea(signieren_1_1,signieren_2_1) )).++fof(fact_6332,axiom,(+ chea(signieren_1_1,signierung_1_1) )).++fof(fact_6333,axiom,(+ chea(signieren_1_1,unterschreibung_1_1) )).++fof(fact_6334,axiom,(+ chea(signieren_1_1,unterzeichnen_2_1) )).++fof(fact_6335,axiom,(+ chea(signieren_1_1,unterzeichnung_1_1) )).++fof(fact_6336,axiom,(+ chea(silieren_1_1,silieren_2_1) )).++fof(fact_6337,axiom,(+ chea(silieren_1_1,silierung_1_1) )).++fof(fact_6338,axiom,(+ chea(simplifizieren_1_1,simplifizierung_1_1) )).++fof(fact_6339,axiom,(+ chea(simplifizieren_1_1,vereinfachen_2_1) )).++fof(fact_6340,axiom,(+ chea(simplifizieren_1_1,vereinfachung_1_1) )).++fof(fact_6341,axiom,(+ chea(simulieren_1_1,simulation_1_1) )).++fof(fact_6342,axiom,(+ chea(simulieren_1_1,simulieren_2_1) )).++fof(fact_6343,axiom,(+ chea(simulieren_1_1,simulierung_1_1) )).++fof(fact_6344,axiom,(+ chea(singen_1_1,vorsingen_2_1) )).++fof(fact_6345,axiom,(+ chea(sinken_1_2,untergehen_2_1) )).++fof(fact_6346,axiom,(+ chea(sinnen_1_1,sinnen_2_1) )).++fof(fact_6347,axiom,(+ chea(sinnieren_1_1,sinnieren_2_1) )).++fof(fact_6348,axiom,(+ chea(sirren_1_1,sirren_2_1) )).++fof(fact_6349,axiom,(+ chea(sistieren_1_1,sistieren_2_1) )).++fof(fact_6350,axiom,(+ chea(sistieren_1_1,sistierung_1_1) )).++fof(fact_6351,axiom,(+ chea(sitzenbleiben_1_1,sitzenbleiben_2_1) )).++fof(fact_6352,axiom,(+ chea(skalieren_1_1,skalieren_2_1) )).++fof(fact_6353,axiom,(+ chea(skalieren_1_1,skalierung_1_1) )).++fof(fact_6354,axiom,(+ chea(skalpieren_1_1,skalpieren_2_1) )).++fof(fact_6355,axiom,(+ chea(skandalieren_1_1,skandalierung_1_1) )).++fof(fact_6356,axiom,(+ chea(skandalisieren_1_1,skandalisierung_1_1) )).++fof(fact_6357,axiom,(+ chea(skandieren_1_1,skandieren_2_1) )).++fof(fact_6358,axiom,(+ chea(skandieren_1_1,skandierung_1_1) )).++fof(fact_6359,axiom,(+ chea(skartieren_1_1,skartierung_1_1) )).++fof(fact_6360,axiom,(+ chea(skelettieren_1_1,skelettierung_1_1) )).++fof(fact_6361,axiom,(+ chea(skizzieren_1_1,skizzierung_1_1) )).++fof(fact_6362,axiom,(+ chea(snowboarden_1_1,snowboarden_2_1) )).++fof(fact_6363,axiom,(+ chea(sonnenbaden_1_1,sonnenbaden_2_1) )).++fof(fact_6364,axiom,(+ chea(sortieren_1_1,sortieren_2_1) )).++fof(fact_6365,axiom,(+ chea(sortieren_1_1,sortierung_1_1) )).++fof(fact_6366,axiom,(+ chea(sowjetisieren_1_1,sowjetisierung_1_1) )).++fof(fact_6367,axiom,(+ chea(so__337en_1_1,so__337en_2_1) )).++fof(fact_6368,axiom,(+ chea(spachteln_1_1,spachteln_2_1) )).++fof(fact_6369,axiom,(+ chea(spachteln_1_1,verspeisen_2_1) )).++fof(fact_6370,axiom,(+ chea(spachteln_1_1,verspeisung_1_1) )).++fof(fact_6371,axiom,(+ chea(spalten_1_1,spaltung_1_2) )).++fof(fact_6372,axiom,(+ chea(spalten_1_2,spalten__1_1) )).++fof(fact_6373,axiom,(+ chea(spanen_1_1,spanen_2_1) )).++fof(fact_6374,axiom,(+ chea(spanen_1_1,spanung_1_1) )).++fof(fact_6375,axiom,(+ chea(spannen_1_1,spannung_1_3) )).++fof(fact_6376,axiom,(+ chea(spazierengehen_1_1,spazierengehen_2_1) )).++fof(fact_6377,axiom,(+ chea(spazierenreiten_1_1,spazierenreiten_2_1) )).++fof(fact_6378,axiom,(+ chea(specken_1_1,specken_2_1) )).++fof(fact_6379,axiom,(+ chea(speicheln_1_1,speicheln_2_1) )).++fof(fact_6380,axiom,(+ chea(speichern_1_1,speicherung_1_1) )).++fof(fact_6381,axiom,(+ chea(speien_1_1,speien_2_1) )).++fof(fact_6382,axiom,(+ chea(speisen_1_1,speisung_1_1) )).++fof(fact_6383,axiom,(+ chea(speisen_1_2,speisung_1_2) )).++fof(fact_6384,axiom,(+ chea(spektakeln_1_1,spektakeln_2_1) )).++fof(fact_6385,axiom,(+ chea(spekulieren_1_1,spekulation_1_2) )).++fof(fact_6386,axiom,(+ chea(spekulieren_1_3,spekulation_1_3) )).++fof(fact_6387,axiom,(+ chea(spenden_1_1,spendung_1_1) )).++fof(fact_6388,axiom,(+ chea(sperren_1_1,sperrung_1_1) )).++fof(fact_6389,axiom,(+ chea(spezifizieren_1_1,begriffkl__344rung_1_1) )).++fof(fact_6390,axiom,(+ chea(spiegeln_1_1,gegenschein_1_1) )).++fof(fact_6391,axiom,(+ chea(spie__337en_1_1,spie__337en_2_1) )).++fof(fact_6392,axiom,(+ chea(spionieren_1_1,spionieren_2_1) )).++fof(fact_6393,axiom,(+ chea(spiritualisieren_1_1,spiritualisation_1_1) )).++fof(fact_6394,axiom,(+ chea(spiritualisieren_1_1,spiritualisierung_1_1) )).++fof(fact_6395,axiom,(+ chea(spitzeln_1_1,spitzeln_2_1) )).++fof(fact_6396,axiom,(+ chea(spleissen_1_1,spleissen_2_1) )).++fof(fact_6397,axiom,(+ chea(splittern_1_1,zerschellen_2_1) )).++fof(fact_6398,axiom,(+ chea(sponsern_1_1,sponsoring_1_1) )).++fof(fact_6399,axiom,(+ chea(sponsern_1_2,sponsoring_1_1) )).++fof(fact_6400,axiom,(+ chea(spornen_1_1,spornen_2_1) )).++fof(fact_6401,axiom,(+ chea(sprayen_1_1,sprayen_2_1) )).++fof(fact_6402,axiom,(+ chea(spreiten_1_1,spreitung_1_1) )).++fof(fact_6403,axiom,(+ chea(spreizen_1_1,spreizen_2_1) )).++fof(fact_6404,axiom,(+ chea(spreizen_1_1,spreizung_1_1) )).++fof(fact_6405,axiom,(+ chea(sprengen_1_1,sprengung_1_1) )).++fof(fact_6406,axiom,(+ chea(sprengen_1_3,sprengung_1_3) )).++fof(fact_6407,axiom,(+ chea(sprie__337en_1_1,sprie__337en_2_1) )).++fof(fact_6408,axiom,(+ chea(spulen_1_1,spulen_2_1) )).++fof(fact_6409,axiom,(+ chea(spunden_1_1,spundung_1_1) )).++fof(fact_6410,axiom,(+ chea(sp__344nen_1_1,sp__344nen_2_1) )).++fof(fact_6411,axiom,(+ chea(sp__366tteln_1_1,sp__366tteln_2_1) )).++fof(fact_6412,axiom,(+ chea(sp__374ren_1_1,sp__374ren_2_1) )).++fof(fact_6413,axiom,(+ chea(stabilieren_1_1,stabilierung_1_1) )).++fof(fact_6414,axiom,(+ chea(stabilisieren_1_1,stabilisierung_1_1) )).++fof(fact_6415,axiom,(+ chea(stabilisieren_1_2,stabilisierung_1_2) )).++fof(fact_6416,axiom,(+ chea(stacheln_1_1,stacheln_2_1) )).++fof(fact_6417,axiom,(+ chea(staffeln_1_1,staffeln_2_1) )).++fof(fact_6418,axiom,(+ chea(staffeln_1_1,staffelung_1_1) )).++fof(fact_6419,axiom,(+ chea(staffieren_1_1,staffierung_1_1) )).++fof(fact_6420,axiom,(+ chea(staken_1_1,stelzen_2_1) )).++fof(fact_6421,axiom,(+ chea(stallen_1_1,stall__1_1) )).++fof(fact_6422,axiom,(+ chea(stammeln_1_1,stammeln_2_1) )).++fof(fact_6423,axiom,(+ chea(stammeln_1_1,stottern_2_1) )).++fof(fact_6424,axiom,(+ chea(stapeln_1_1,stapelung_1_1) )).++fof(fact_6425,axiom,(+ chea(stapfen_1_1,stapfen_2_1) )).++fof(fact_6426,axiom,(+ chea(stationieren_1_1,stationieren_2_1) )).++fof(fact_6427,axiom,(+ chea(stationieren_1_1,stationierung_1_1) )).++fof(fact_6428,axiom,(+ chea(statten_1_1,statten_2_1) )).++fof(fact_6429,axiom,(+ chea(statuieren_1_1,statuierung_1_1) )).++fof(fact_6430,axiom,(+ chea(stauchen_1_1,stauchen_2_1) )).++fof(fact_6431,axiom,(+ chea(stauchen_1_1,stauchung_1_1) )).++fof(fact_6432,axiom,(+ chea(stauen_1_1,stau_1_1) )).++fof(fact_6433,axiom,(+ chea(stechen_1_1,stechen_2_1) )).++fof(fact_6434,axiom,(+ chea(steckenlassen_1_1,steckenlassen_2_1) )).++fof(fact_6435,axiom,(+ chea(stehenlassen_1_1,stehenlassen_2_1) )).++fof(fact_6436,axiom,(+ chea(steifen_1_1,steifen_2_1) )).++fof(fact_6437,axiom,(+ chea(steifen_1_1,steifung_1_1) )).++fof(fact_6438,axiom,(+ chea(steigern_1_1,steigerung_1_2) )).++fof(fact_6439,axiom,(+ chea(steigern_1_2,steigerung_1_3) )).++fof(fact_6440,axiom,(+ chea(steigern_1_3,steigerung_1_1) )).++fof(fact_6441,axiom,(+ chea(steilen_1_1,steilung_1_1) )).++fof(fact_6442,axiom,(+ chea(steinen_1_1,steinen_2_1) )).++fof(fact_6443,axiom,(+ chea(steinigen_1_1,steinigen_2_1) )).++fof(fact_6444,axiom,(+ chea(steinigen_1_1,steinigung_1_1) )).++fof(fact_6445,axiom,(+ chea(stempeln_1_1,stempelung_1_1) )).++fof(fact_6446,axiom,(+ chea(stempeln_1_2,stempelung_1_2) )).++fof(fact_6447,axiom,(+ chea(stenographieren_1_1,stenographieren_2_1) )).++fof(fact_6448,axiom,(+ chea(steppen_1_1,steppen_2_1) )).++fof(fact_6449,axiom,(+ chea(sterben_1_1,ableben_2_1) )).++fof(fact_6450,axiom,(+ chea(sterben_1_1,umkommen_2_1) )).++fof(fact_6451,axiom,(+ chea(sterben_1_1,verscheiden_2_1) )).++fof(fact_6452,axiom,(+ chea(sterilisieren_1_1,sterilisation_1_1) )).++fof(fact_6453,axiom,(+ chea(sterilisieren_1_1,sterilisieren_2_1) )).++fof(fact_6454,axiom,(+ chea(sterilisieren_1_1,sterilisierung_1_1) )).++fof(fact_6455,axiom,(+ chea(sticken_1_1,sticken_2_1) )).++fof(fact_6456,axiom,(+ chea(stiefeln_1_1,stiefeln_2_1) )).++fof(fact_6457,axiom,(+ chea(stieren_1_1,stieren_2_1) )).++fof(fact_6458,axiom,(+ chea(stiften_1_1,stiftung_1_4) )).++fof(fact_6459,axiom,(+ chea(stiften_2_1,stiftung_1_3) )).++fof(fact_6460,axiom,(+ chea(stigmatisieren_1_1,kennzeichnung_1_1) )).++fof(fact_6461,axiom,(+ chea(stigmatisieren_1_1,stigmatisation_1_1) )).++fof(fact_6462,axiom,(+ chea(stillegen_1_1,stillegen_2_1) )).++fof(fact_6463,axiom,(+ chea(stillegen_1_1,stillegung_1_1) )).++fof(fact_6464,axiom,(+ chea(stillen_1_2,stillung_1_1) )).++fof(fact_6465,axiom,(+ chea(stillen_1_3,stillung_1_3) )).++fof(fact_6466,axiom,(+ chea(stillhalten_1_1,stillhalten_2_1) )).++fof(fact_6467,axiom,(+ chea(stillhalten_1_1,stillhaltung_1_1) )).++fof(fact_6468,axiom,(+ chea(stillschweigen_1_1,geheimhaltung_1_1) )).++fof(fact_6469,axiom,(+ chea(stimmen_1_1,stimmung_1_2) )).++fof(fact_6470,axiom,(+ chea(stimmen_1_4,zutreffen_2_1) )).++fof(fact_6471,axiom,(+ chea(stimulieren_1_1,stimulation_1_1) )).++fof(fact_6472,axiom,(+ chea(stimulieren_1_1,stimulierung_1_1) )).++fof(fact_6473,axiom,(+ chea(stipulieren_1_1,stipulation_1_1) )).++fof(fact_6474,axiom,(+ chea(stipulieren_1_1,stipulierung_1_1) )).++fof(fact_6475,axiom,(+ chea(stochern_1_1,stochern_2_1) )).++fof(fact_6476,axiom,(+ chea(stocken_1_1,stockung_1_1) )).++fof(fact_6477,axiom,(+ chea(stocken_1_3,stockung_1_3) )).++fof(fact_6478,axiom,(+ chea(stopfen_2_1,stopfung_1_1) )).++fof(fact_6479,axiom,(+ chea(stoppen_1_1,stoppen_2_1) )).++fof(fact_6480,axiom,(+ chea(stoppen_1_1,stoppung_1_1) )).++fof(fact_6481,axiom,(+ chea(stornieren_1_1,abbestellung_1_1) )).++fof(fact_6482,axiom,(+ chea(stornieren_1_1,stornieren_2_1) )).++fof(fact_6483,axiom,(+ chea(straffen_1_1,straffen_2_1) )).++fof(fact_6484,axiom,(+ chea(strammstehen_1_1,strammstehen_2_1) )).++fof(fact_6485,axiom,(+ chea(stranden_1_1,stranden_2_1) )).++fof(fact_6486,axiom,(+ chea(stranden_1_1,strandung_1_1) )).++fof(fact_6487,axiom,(+ chea(strapazieren_1_1,strapazierung_1_1) )).++fof(fact_6488,axiom,(+ chea(stratifizieren_1_1,stratifizierung_1_1) )).++fof(fact_6489,axiom,(+ chea(straucheln_1_1,straucheln_2_1) )).++fof(fact_6490,axiom,(+ chea(streben_1_1,bestreben_2_1) )).++fof(fact_6491,axiom,(+ chea(streben_1_1,strebung_1_1) )).++fof(fact_6492,axiom,(+ chea(strecken_1_1,streckung_1_1) )).++fof(fact_6493,axiom,(+ chea(strecken_1_3,streckung_1_3) )).++fof(fact_6494,axiom,(+ chea(streichen_1_2,streichung_1_1) )).++fof(fact_6495,axiom,(+ chea(streiken_1_1,arbeitsverweigerung_1_1) )).++fof(fact_6496,axiom,(+ chea(streiken_1_1,streiken_2_1) )).++fof(fact_6497,axiom,(+ chea(strengen_1_1,strengen_2_1) )).++fof(fact_6498,axiom,(+ chea(streuen_1_1,streuung_1_1) )).++fof(fact_6499,axiom,(+ chea(streunen_1_1,streunen_2_1) )).++fof(fact_6500,axiom,(+ chea(streunen_1_1,vagabundieren_2_1) )).++fof(fact_6501,axiom,(+ chea(stricheln_1_1,stricheln_2_1) )).++fof(fact_6502,axiom,(+ chea(striegeln_1_1,striegeln_2_1) )).++fof(fact_6503,axiom,(+ chea(strudeln_1_1,strudeln_2_1) )).++fof(fact_6504,axiom,(+ chea(strukturieren_1_1,strukturation_1_1) )).++fof(fact_6505,axiom,(+ chea(strukturieren_1_1,strukturieren_2_1) )).++fof(fact_6506,axiom,(+ chea(strukturieren_1_1,strukturierung_1_1) )).++fof(fact_6507,axiom,(+ chea(str__344ngen_1_1,str__344ngen_2_1) )).++fof(fact_6508,axiom,(+ chea(stuckieren_1_1,stuckieren_2_1) )).++fof(fact_6509,axiom,(+ chea(stuckieren_1_1,stuckierung_1_1) )).++fof(fact_6510,axiom,(+ chea(studieren_1_1,hochschulausbildung_1_1) )).++fof(fact_6511,axiom,(+ chea(stunden_1_1,stunden_2_1) )).++fof(fact_6512,axiom,(+ chea(stunden_1_1,stundung_1_1) )).++fof(fact_6513,axiom,(+ chea(stupfen_1_1,stupsen_2_1) )).++fof(fact_6514,axiom,(+ chea(st__344hlen_1_1,st__344hlen_2_1) )).++fof(fact_6515,axiom,(+ chea(st__344hlen_1_1,st__344hlung_1_1) )).++fof(fact_6516,axiom,(+ chea(st__344ngeln_1_1,st__344ngeln_2_1) )).++fof(fact_6517,axiom,(+ chea(st__344rken_1_2,st__344rkung_1_1) )).++fof(fact_6518,axiom,(+ chea(st__344uben_1_1,st__344uben_2_1) )).++fof(fact_6519,axiom,(+ chea(st__366hnen_1_1,aechzen_1_1) )).++fof(fact_6520,axiom,(+ chea(st__366ren_1_1,st__366rung_1_1) )).++fof(fact_6521,axiom,(+ chea(st__374ckeln_1_1,st__374ckeln_2_1) )).++fof(fact_6522,axiom,(+ chea(st__374cken_1_1,st__374cken_2_1) )).++fof(fact_6523,axiom,(+ chea(st__374tzen_1_1,st__374tzung_1_1) )).++fof(fact_6524,axiom,(+ chea(subjektivieren_1_1,subjektivierung_1_1) )).++fof(fact_6525,axiom,(+ chea(sublimieren_1_1,sublimation_1_1) )).++fof(fact_6526,axiom,(+ chea(sublimieren_1_1,sublimieren_2_1) )).++fof(fact_6527,axiom,(+ chea(substantivieren_1_1,substantivierung_1_1) )).++fof(fact_6528,axiom,(+ chea(subsumieren_1_1,subsumierung_1_1) )).++fof(fact_6529,axiom,(+ chea(summen_1_1,summen_2_1) )).++fof(fact_6530,axiom,(+ chea(summieren_2_1,summierung_1_1) )).++fof(fact_6531,axiom,(+ chea(surfen_1_1,surfen_2_1) )).++fof(fact_6532,axiom,(+ chea(suspendieren_1_1,amtenthebung_1_1) )).++fof(fact_6533,axiom,(+ chea(suspendieren_1_1,suspendieren_2_1) )).++fof(fact_6534,axiom,(+ chea(swingen_1_1,swingen_2_1) )).++fof(fact_6535,axiom,(+ chea(symbolisieren_1_1,symbolisation_1_1) )).++fof(fact_6536,axiom,(+ chea(symbolisieren_1_1,symbolisieren_2_1) )).++fof(fact_6537,axiom,(+ chea(symbolisieren_1_1,symbolisierung_1_1) )).++fof(fact_6538,axiom,(+ chea(symbolisieren_1_1,versinnbildlichung_1_1) )).++fof(fact_6539,axiom,(+ chea(sympathisieren_1_1,sympathisierung_1_1) )).++fof(fact_6540,axiom,(+ chea(synchronisieren_1_1,synchronisation_1_1) )).++fof(fact_6541,axiom,(+ chea(synchronisieren_1_1,synchronisieren_2_1) )).++fof(fact_6542,axiom,(+ chea(synchronisieren_1_1,synchronisierung_1_1) )).++fof(fact_6543,axiom,(+ chea(synkopieren_1_1,synkopierung_1_1) )).++fof(fact_6544,axiom,(+ chea(synthetisieren_1_1,synthetisierung_1_1) )).++fof(fact_6545,axiom,(+ chea(systematisieren_1_1,anordnung_1_2) )).++fof(fact_6546,axiom,(+ chea(systematisieren_1_1,systematisieren_2_1) )).++fof(fact_6547,axiom,(+ chea(szintillieren_1_1,szintillation_1_1) )).++fof(fact_6548,axiom,(+ chea(s__344beln_1_1,s__344beln_2_1) )).++fof(fact_6549,axiom,(+ chea(s__344en_1_1,aussaat_1_1) )).++fof(fact_6550,axiom,(+ chea(s__344kularisieren_1_1,s__344kularisation_1_1) )).++fof(fact_6551,axiom,(+ chea(s__344ugen_1_1,s__344ugen_2_1) )).++fof(fact_6552,axiom,(+ chea(s__344ugen_1_1,s__344ugung_1_1) )).++fof(fact_6553,axiom,(+ chea(s__344useln_1_1,s__344useln_2_1) )).++fof(fact_6554,axiom,(+ chea(s__366hnen_1_1,s__366hnen_2_1) )).++fof(fact_6555,axiom,(+ chea(s__374__337en_1_1,s__374__337ung_1_1) )).++fof(fact_6556,axiom,(+ chea(tabellarisieren_1_1,tabellierung_1_1) )).++fof(fact_6557,axiom,(+ chea(tablettieren_1_1,tablettieren_2_1) )).++fof(fact_6558,axiom,(+ chea(tablettieren_1_1,tablettierung_1_1) )).++fof(fact_6559,axiom,(+ chea(tabuieren_1_1,tabuierung_1_1) )).++fof(fact_6560,axiom,(+ chea(tabuieren_1_1,tabuisierung_1_1) )).++fof(fact_6561,axiom,(+ chea(tadeln_1_1,tadeln_2_1) )).++fof(fact_6562,axiom,(+ chea(tafeln_1_1,tafeln_2_1) )).++fof(fact_6563,axiom,(+ chea(tagen_1_1,kongre__337_2_1) )).++fof(fact_6564,axiom,(+ chea(tagen_1_1,tagen_2_1) )).++fof(fact_6565,axiom,(+ chea(taillieren_1_1,taillierung_1_1) )).++fof(fact_6566,axiom,(+ chea(takten_1_1,takten_2_1) )).++fof(fact_6567,axiom,(+ chea(takten_1_1,taktung_1_1) )).++fof(fact_6568,axiom,(+ chea(taktieren_1_1,taktieren_2_1) )).++fof(fact_6569,axiom,(+ chea(tamburieren_1_1,tamburieren_2_1) )).++fof(fact_6570,axiom,(+ chea(tanken_1_1,tanken_2_1) )).++fof(fact_6571,axiom,(+ chea(tannen_1_1,tannen_3_1) )).++fof(fact_6572,axiom,(+ chea(tapezieren_1_1,tapezieren_2_1) )).++fof(fact_6573,axiom,(+ chea(tapezieren_1_1,tapezierung_1_1) )).++fof(fact_6574,axiom,(+ chea(tappen_1_1,tappen_2_1) )).++fof(fact_6575,axiom,(+ chea(tapsen_1_1,trampeln_2_1) )).++fof(fact_6576,axiom,(+ chea(tarieren_1_1,tarieren_2_1) )).++fof(fact_6577,axiom,(+ chea(tarieren_1_1,tarierung_1_1) )).++fof(fact_6578,axiom,(+ chea(tarifieren_1_1,tarifierung_1_1) )).++fof(fact_6579,axiom,(+ chea(tarnen_1_1,camouflage_1_1) )).++fof(fact_6580,axiom,(+ chea(tarnen_1_1,tarnen_2_1) )).++fof(fact_6581,axiom,(+ chea(tarockieren_1_1,tarockieren_2_1) )).++fof(fact_6582,axiom,(+ chea(tatauieren_1_1,tatauieren_2_1) )).++fof(fact_6583,axiom,(+ chea(tatauieren_1_1,tatauierung_1_1) )).++fof(fact_6584,axiom,(+ chea(tatschen_1_1,tatschen_2_1) )).++fof(fact_6585,axiom,(+ chea(taufen_1_1,taufen_2_1) )).++fof(fact_6586,axiom,(+ chea(taumeln_1_1,taumeln_2_1) )).++fof(fact_6587,axiom,(+ chea(taxieren_1_1,taxation_1_1) )).++fof(fact_6588,axiom,(+ chea(taxieren_1_1,taxierung_1_1) )).++fof(fact_6589,axiom,(+ chea(taxieren_1_2,taxation_1_2) )).++fof(fact_6590,axiom,(+ chea(taxieren_1_2,taxierung_1_2) )).++fof(fact_6591,axiom,(+ chea(technisieren_1_1,technisierung_1_1) )).++fof(fact_6592,axiom,(+ chea(teilen_1_4,teilung_1_2) )).++fof(fact_6593,axiom,(+ chea(telegraphieren_1_1,telegraphieren_2_1) )).++fof(fact_6594,axiom,(+ chea(tempeln_1_1,tempeln_2_1) )).++fof(fact_6595,axiom,(+ chea(temperieren_1_1,temperieren_2_1) )).++fof(fact_6596,axiom,(+ chea(temperieren_1_1,temperierung_1_1) )).++fof(fact_6597,axiom,(+ chea(tendieren_1_1,tendieren_2_1) )).++fof(fact_6598,axiom,(+ chea(terminieren_1_1,beendung_1_1) )).++fof(fact_6599,axiom,(+ chea(terminieren_1_1,termination_1_1) )).++fof(fact_6600,axiom,(+ chea(terminieren_1_1,terminieren_2_1) )).++fof(fact_6601,axiom,(+ chea(terrassieren_1_1,terrassierung_1_1) )).++fof(fact_6602,axiom,(+ chea(terrorisieren_1_1,terrorisieren_2_1) )).++fof(fact_6603,axiom,(+ chea(terrorisieren_1_1,terrorisierung_1_1) )).++fof(fact_6604,axiom,(+ chea(testen_1_1,testung_1_1) )).++fof(fact_6605,axiom,(+ chea(textieren_1_1,textierung_1_1) )).++fof(fact_6606,axiom,(+ chea(texturieren_1_1,texturierung_1_1) )).++fof(fact_6607,axiom,(+ chea(thematisieren_1_1,thematisierung_1_1) )).++fof(fact_6608,axiom,(+ chea(theoretisieren_1_1,theoretisieren_2_1) )).++fof(fact_6609,axiom,(+ chea(theoretisieren_1_1,theoretisierung_1_1) )).++fof(fact_6610,axiom,(+ chea(therapieren_1_1,therapieren_2_1) )).++fof(fact_6611,axiom,(+ chea(therapieren_1_1,therapierung_1_1) )).++fof(fact_6612,axiom,(+ chea(ticken_1_1,ticken_2_1) )).++fof(fact_6613,axiom,(+ chea(tiefk__374hlen_1_1,tiefk__374hlen_2_1) )).++fof(fact_6614,axiom,(+ chea(tiefk__374hlen_1_1,tiefk__374hlung_1_1) )).++fof(fact_6615,axiom,(+ chea(tiefstapeln_1_1,tiefstapeln_2_1) )).++fof(fact_6616,axiom,(+ chea(tilgen_1_1,tilgung_1_1) )).++fof(fact_6617,axiom,(+ chea(tilgen_1_2,tilgung_1_2) )).++fof(fact_6618,axiom,(+ chea(timbrieren_1_1,timbrierung_1_1) )).++fof(fact_6619,axiom,(+ chea(tingeln_1_1,tingeln_2_1) )).++fof(fact_6620,axiom,(+ chea(tischen_1_1,tischen_2_1) )).++fof(fact_6621,axiom,(+ chea(titeln_1_1,titeln_2_1) )).++fof(fact_6622,axiom,(+ chea(toasten_1_1,toasten_2_1) )).++fof(fact_6623,axiom,(+ chea(toben_1_1,toben_2_1) )).++fof(fact_6624,axiom,(+ chea(toben_1_1,tollen_2_1) )).++fof(fact_6625,axiom,(+ chea(tonen_1_1,tonen_2_1) )).++fof(fact_6626,axiom,(+ chea(tonen_1_1,tonung_1_1) )).++fof(fact_6627,axiom,(+ chea(torpedieren_1_1,torpedierung_1_1) )).++fof(fact_6628,axiom,(+ chea(torpedieren_1_2,torpedierung_1_2) )).++fof(fact_6629,axiom,(+ chea(tosen_1_1,tosen_2_1) )).++fof(fact_6630,axiom,(+ chea(totalisieren_1_1,totalisierung_1_1) )).++fof(fact_6631,axiom,(+ chea(totlachen_1_1,totlachen_2_1) )).++fof(fact_6632,axiom,(+ chea(totschlagen_1_1,toetung_1_1) )).++fof(fact_6633,axiom,(+ chea(totschlagen_1_1,totschlagen_2_1) )).++fof(fact_6634,axiom,(+ chea(totstellen_1_1,totstellen_2_1) )).++fof(fact_6635,axiom,(+ chea(touchieren_1_1,touchieren_2_1) )).++fof(fact_6636,axiom,(+ chea(toupieren_1_1,toupieren_2_1) )).++fof(fact_6637,axiom,(+ chea(touren_1_1,touren_2_1) )).++fof(fact_6638,axiom,(+ chea(tradieren_1_1,tradieren_2_1) )).++fof(fact_6639,axiom,(+ chea(tradieren_1_1,tradierung_1_1) )).++fof(fact_6640,axiom,(+ chea(trainieren_1_1,trimmung_1_1) )).++fof(fact_6641,axiom,(+ chea(traktieren_1_1,traktierung_1_1) )).++fof(fact_6642,axiom,(+ chea(trampen_1_1,trampen_2_1) )).++fof(fact_6643,axiom,(+ chea(transferieren_1_1,transferierung_1_1) )).++fof(fact_6644,axiom,(+ chea(transkribieren_1_1,transkribieren_2_1) )).++fof(fact_6645,axiom,(+ chea(transkribieren_1_1,transkribierung_1_1) )).++fof(fact_6646,axiom,(+ chea(transliterieren_1_1,transliteration_1_1) )).++fof(fact_6647,axiom,(+ chea(translozieren_1_1,translozierung_1_1) )).++fof(fact_6648,axiom,(+ chea(transplantieren_1_1,transplantation_1_1) )).++fof(fact_6649,axiom,(+ chea(transplantieren_1_1,verpflanzung_1_2) )).++fof(fact_6650,axiom,(+ chea(transponieren_1_1,transponieren_2_1) )).++fof(fact_6651,axiom,(+ chea(transponieren_1_1,transponierung_1_1) )).++fof(fact_6652,axiom,(+ chea(transportieren_1_1,transportation_1_1) )).++fof(fact_6653,axiom,(+ chea(transzendieren_1_1,transzendieren_2_1) )).++fof(fact_6654,axiom,(+ chea(transzendieren_1_1,transzendierung_1_1) )).++fof(fact_6655,axiom,(+ chea(trassieren_1_1,trassierung_1_1) )).++fof(fact_6656,axiom,(+ chea(trauen_3_1,heirat_1_1) )).++fof(fact_6657,axiom,(+ chea(trauen_3_1,verehelichung_1_1) )).++fof(fact_6658,axiom,(+ chea(traumatisieren_1_1,traumatisierung_1_1) )).++fof(fact_6659,axiom,(+ chea(traversieren_1_1,traversieren_2_1) )).++fof(fact_6660,axiom,(+ chea(traversieren_1_1,traversierung_1_1) )).++fof(fact_6661,axiom,(+ chea(trennen_1_2,trennung_1_1) )).++fof(fact_6662,axiom,(+ chea(triangulieren_1_1,triangulation_1_1) )).++fof(fact_6663,axiom,(+ chea(triangulieren_1_1,triangulierung_1_1) )).++fof(fact_6664,axiom,(+ chea(triften_1_1,triften_2_1) )).++fof(fact_6665,axiom,(+ chea(triften_1_1,triftung_1_1) )).++fof(fact_6666,axiom,(+ chea(trimmen_1_2,trimmung_1_2) )).++fof(fact_6667,axiom,(+ chea(trimmen_1_3,trimmung_1_3) )).++fof(fact_6668,axiom,(+ chea(triumphieren_1_1,triumphieren_2_1) )).++fof(fact_6669,axiom,(+ chea(trockenstehen_1_1,trockenstehen_2_1) )).++fof(fact_6670,axiom,(+ chea(trocknen_1_1,trocknen_2_1) )).++fof(fact_6671,axiom,(+ chea(trocknen_1_1,trocknung_1_1) )).++fof(fact_6672,axiom,(+ chea(trompeten_1_1,trompeten_2_1) )).++fof(fact_6673,axiom,(+ chea(trudeln_1_1,trudeln_2_1) )).++fof(fact_6674,axiom,(+ chea(tr__344nen_1_1,tr__344nen_2_1) )).++fof(fact_6675,axiom,(+ chea(tr__344nken_1_1,tr__344nken_2_1) )).++fof(fact_6676,axiom,(+ chea(tr__344nken_1_1,tr__344nkung_1_1) )).++fof(fact_6677,axiom,(+ chea(tr__366deln_1_1,tr__366deln_2_1) )).++fof(fact_6678,axiom,(+ chea(tr__374ben_1_1,tr__374bung_1_1) )).++fof(fact_6679,axiom,(+ chea(tr__374ben_1_2,tr__374bung_1_2) )).++fof(fact_6680,axiom,(+ chea(tummeln_1_1,tummeln_2_1) )).++fof(fact_6681,axiom,(+ chea(turkisieren_1_1,turkisierung_1_1) )).++fof(fact_6682,axiom,(+ chea(turnen_1_1,turnen_2_1) )).++fof(fact_6683,axiom,(+ chea(turnieren_1_1,turnieren_2_1) )).++fof(fact_6684,axiom,(+ chea(tuschen_1_1,tuschen_2_1) )).++fof(fact_6685,axiom,(+ chea(tuschieren_1_1,tuschieren_2_1) )).++fof(fact_6686,axiom,(+ chea(tuten_1_1,tuten_2_1) )).++fof(fact_6687,axiom,(+ chea(twisten_1_1,twisten_2_1) )).++fof(fact_6688,axiom,(+ chea(typen_1_1,typen_2_1) )).++fof(fact_6689,axiom,(+ chea(typen_1_1,typung_1_1) )).++fof(fact_6690,axiom,(+ chea(typisieren_1_1,typisierung_1_1) )).++fof(fact_6691,axiom,(+ chea(tyrannisieren_1_1,tyrannisieren_2_1) )).++fof(fact_6692,axiom,(+ chea(tyrannisieren_1_1,tyrannisierung_1_1) )).++fof(fact_6693,axiom,(+ chea(t__344ndeln_1_1,t__344ndeln_2_1) )).++fof(fact_6694,axiom,(+ chea(t__344tigen_1_1,t__344tigen_2_1) )).++fof(fact_6695,axiom,(+ chea(t__344tigen_1_1,t__344tigung_1_1) )).++fof(fact_6696,axiom,(+ chea(t__344towieren_1_1,tattoo__1_1) )).++fof(fact_6697,axiom,(+ chea(t__344towieren_1_1,t__344towieren_2_1) )).++fof(fact_6698,axiom,(+ chea(t__366nen_1_1,t__366nen_2_1) )).++fof(fact_6699,axiom,(+ chea(t__366nen_1_1,t__366nung_1_1) )).++fof(fact_6700,axiom,(+ chea(uebertragen_1_1,uebersetzung_1_1) )).++fof(fact_6701,axiom,(+ chea(ulzerieren_1_1,ulzeration_1_1) )).++fof(fact_6702,axiom,(+ chea(umarbeiten_1_1,umarbeiten_2_1) )).++fof(fact_6703,axiom,(+ chea(umarbeiten_1_1,umarbeitung_1_1) )).++fof(fact_6704,axiom,(+ chea(umarmen_1_1,umarmen_2_1) )).++fof(fact_6705,axiom,(+ chea(umarmen_1_1,umarmung_1_1) )).++fof(fact_6706,axiom,(+ chea(umarmen_1_1,umhalsung_1_1) )).++fof(fact_6707,axiom,(+ chea(umbenennen_1_1,umbenennen_2_1) )).++fof(fact_6708,axiom,(+ chea(umbenennen_1_1,umbenennung_1_1) )).++fof(fact_6709,axiom,(+ chea(umbeschreiben_1_1,umbeschreibung_1_1) )).++fof(fact_6710,axiom,(+ chea(umbesetzen_1_1,umbesetzung_1_1) )).++fof(fact_6711,axiom,(+ chea(umbesinnen_1_1,umbesinnen_2_1) )).++fof(fact_6712,axiom,(+ chea(umbesinnen_1_1,umbesinnung_1_1) )).++fof(fact_6713,axiom,(+ chea(umbetten_1_1,umbetten_2_1) )).++fof(fact_6714,axiom,(+ chea(umbetten_1_1,umbettung_1_1) )).++fof(fact_6715,axiom,(+ chea(umbiegen_1_1,umbiegen_2_1) )).++fof(fact_6716,axiom,(+ chea(umbilden_1_1,umbildung_1_1) )).++fof(fact_6717,axiom,(+ chea(umblicken_1_1,umgucken_2_1) )).++fof(fact_6718,axiom,(+ chea(umbrechen_1_1,umbrechen_2_1) )).++fof(fact_6719,axiom,(+ chea(umbuchen_1_1,umbuchen_2_1) )).++fof(fact_6720,axiom,(+ chea(umbuchen_1_1,umbuchung_1_1) )).++fof(fact_6721,axiom,(+ chea(umdenken_1_1,umdenken_2_1) )).++fof(fact_6722,axiom,(+ chea(umdeuten_1_1,umdeuten_2_1) )).++fof(fact_6723,axiom,(+ chea(umdeuten_1_1,umdeutung_1_1) )).++fof(fact_6724,axiom,(+ chea(umdeuten_1_1,umm__374nzen_2_1) )).++fof(fact_6725,axiom,(+ chea(umdeuten_1_1,umm__374nzung_1_1) )).++fof(fact_6726,axiom,(+ chea(umdisponieren_1_1,umdisponieren_2_1) )).++fof(fact_6727,axiom,(+ chea(umdisponieren_1_1,umdisponierung_1_1) )).++fof(fact_6728,axiom,(+ chea(umdrehen_1_1,umdrehung_1_1) )).++fof(fact_6729,axiom,(+ chea(umerziehen_1_1,umerziehen_2_1) )).++fof(fact_6730,axiom,(+ chea(umerziehen_1_1,umerziehung_1_1) )).++fof(fact_6731,axiom,(+ chea(umfahren_1_1,umfahrung_1_1) )).++fof(fact_6732,axiom,(+ chea(umfangen_1_1,umklammerung_1_1) )).++fof(fact_6733,axiom,(+ chea(umfassen_1_2,umarmung_1_1) )).++fof(fact_6734,axiom,(+ chea(umfirmieren_1_1,umfirmierung_1_1) )).++fof(fact_6735,axiom,(+ chea(umfliegen_1_1,umfliegen_2_1) )).++fof(fact_6736,axiom,(+ chea(umflie__337en_1_1,umflie__337en_2_1) )).++fof(fact_6737,axiom,(+ chea(umfragen_1_1,umfragen_2_1) )).++fof(fact_6738,axiom,(+ chea(umfunktionieren_1_1,umfunktionieren_2_1) )).++fof(fact_6739,axiom,(+ chea(umfunktionieren_1_1,umfunktionierung_1_1) )).++fof(fact_6740,axiom,(+ chea(umf__374llen_1_1,umf__374llen_2_1) )).++fof(fact_6741,axiom,(+ chea(umf__374llen_1_1,umf__374llung_1_1) )).++fof(fact_6742,axiom,(+ chea(umgarnen_1_1,umgarnung_1_1) )).++fof(fact_6743,axiom,(+ chea(umgehen_1_1,umgehung_1_1) )).++fof(fact_6744,axiom,(+ chea(umgehen_2_2,umgang_1_1) )).++fof(fact_6745,axiom,(+ chea(umgestalten_1_1,umgestalten_2_1) )).++fof(fact_6746,axiom,(+ chea(umgestalten_1_1,umgestaltung_1_1) )).++fof(fact_6747,axiom,(+ chea(umgie__337en_1_1,umgie__337en_2_1) )).++fof(fact_6748,axiom,(+ chea(umgraben_1_1,umgraben_2_1) )).++fof(fact_6749,axiom,(+ chea(umgrenzen_1_1,umgrenzung_1_1) )).++fof(fact_6750,axiom,(+ chea(umherfliegen_1_1,umherfliegen_2_1) )).++fof(fact_6751,axiom,(+ chea(umhergehen_1_1,umhergehen_2_1) )).++fof(fact_6752,axiom,(+ chea(umhergeistern_1_1,umherirren_2_1) )).++fof(fact_6753,axiom,(+ chea(umherlaufen_1_1,umherlaufen_2_1) )).++fof(fact_6754,axiom,(+ chea(umherreisen_1_1,umherreisen_2_1) )).++fof(fact_6755,axiom,(+ chea(umherschweifen_1_1,umherschweifen_2_1) )).++fof(fact_6756,axiom,(+ chea(umherschweifen_1_1,umherziehen_2_1) )).++fof(fact_6757,axiom,(+ chea(umherstreifen_1_1,umherstreifen_2_1) )).++fof(fact_6758,axiom,(+ chea(umh__374llen_1_1,umh__374llen_2_1) )).++fof(fact_6759,axiom,(+ chea(umh__374llen_1_1,umh__374llung_1_1) )).++fof(fact_6760,axiom,(+ chea(uminterpretieren_1_1,uminterpretation_1_1) )).++fof(fact_6761,axiom,(+ chea(uminterpretieren_1_1,uminterpretierung_1_1) )).++fof(fact_6762,axiom,(+ chea(umkehren_2_1,umkehrung_1_1) )).++fof(fact_6763,axiom,(+ chea(umklappen_1_1,umklappen_2_1) )).++fof(fact_6764,axiom,(+ chea(umklappen_1_1,umklappung_1_1) )).++fof(fact_6765,axiom,(+ chea(umknicken_1_1,umknicken_2_1) )).++fof(fact_6766,axiom,(+ chea(umkopieren_1_1,umkopieren_2_1) )).++fof(fact_6767,axiom,(+ chea(umkopieren_1_1,umkopierung_1_1) )).++fof(fact_6768,axiom,(+ chea(umkr__344nzen_1_1,umkr__344nzung_1_1) )).++fof(fact_6769,axiom,(+ chea(umladen_1_1,umladen_2_1) )).++fof(fact_6770,axiom,(+ chea(umladen_1_1,umladung_1_1) )).++fof(fact_6771,axiom,(+ chea(umlagern_1_1,umlagerung_1_1) )).++fof(fact_6772,axiom,(+ chea(umlauten_1_1,umlautung_1_1) )).++fof(fact_6773,axiom,(+ chea(umlegen_1_1,umlegung_1_1) )).++fof(fact_6774,axiom,(+ chea(umleiten_1_1,um_weg_1_1) )).++fof(fact_6775,axiom,(+ chea(umleiten_1_1,umleiten_2_1) )).++fof(fact_6776,axiom,(+ chea(umlenken_1_1,um_weg_1_1) )).++fof(fact_6777,axiom,(+ chea(umlenken_1_1,umlenken_2_1) )).++fof(fact_6778,axiom,(+ chea(umlernen_1_1,umlernen_2_1) )).++fof(fact_6779,axiom,(+ chea(ummelden_1_1,ummeldung_1_1) )).++fof(fact_6780,axiom,(+ chea(ummodeln_1_1,neustrukturierung_1_1) )).++fof(fact_6781,axiom,(+ chea(ummodeln_1_1,ummodeln_2_1) )).++fof(fact_6782,axiom,(+ chea(ummodeln_1_1,umstrukturieren_2_1) )).++fof(fact_6783,axiom,(+ chea(umnachten_1_1,delir_1_1) )).++fof(fact_6784,axiom,(+ chea(umorganisieren_1_1,umorganisation_1_1) )).++fof(fact_6785,axiom,(+ chea(umorganisieren_1_1,umorganisierung_1_1) )).++fof(fact_6786,axiom,(+ chea(umorientieren_1_1,neuausrichtung_1_1) )).++fof(fact_6787,axiom,(+ chea(umorientieren_1_1,umorientieren_2_1) )).++fof(fact_6788,axiom,(+ chea(umpacken_1_1,umpackung_1_1) )).++fof(fact_6789,axiom,(+ chea(umpolen_1_1,umpolen_2_1) )).++fof(fact_6790,axiom,(+ chea(umpolen_1_1,umpolung_1_1) )).++fof(fact_6791,axiom,(+ chea(umprogrammieren_1_1,umprogrammierung_1_1) )).++fof(fact_6792,axiom,(+ chea(umpr__344gen_1_1,umpr__344gen_2_1) )).++fof(fact_6793,axiom,(+ chea(umpr__344gen_1_1,umpr__344gung_1_1) )).++fof(fact_6794,axiom,(+ chea(umquartieren_1_1,umquartierung_1_1) )).++fof(fact_6795,axiom,(+ chea(umrahmen_1_1,umrahmung_1_1) )).++fof(fact_6796,axiom,(+ chea(umranden_1_1,einfassung_1_1) )).++fof(fact_6797,axiom,(+ chea(umrechnen_1_1,umrechnen_2_1) )).++fof(fact_6798,axiom,(+ chea(umrechnen_1_1,umrechnung_1_1) )).++fof(fact_6799,axiom,(+ chea(umringen_1_1,umringen_2_1) )).++fof(fact_6800,axiom,(+ chea(umr__344umen_1_1,umr__344umen_2_1) )).++fof(fact_6801,axiom,(+ chea(umr__374sten_1_1,umr__374sten_2_1) )).++fof(fact_6802,axiom,(+ chea(umr__374sten_1_1,umr__374stung_1_1) )).++fof(fact_6803,axiom,(+ chea(umsatteln_1_1,umsatteln_2_1) )).++fof(fact_6804,axiom,(+ chea(umschaffen_1_1,umschaffung_1_1) )).++fof(fact_6805,axiom,(+ chea(umschalten_1_1,umschalten_2_1) )).++fof(fact_6806,axiom,(+ chea(umschalten_1_1,umschaltung_1_1) )).++fof(fact_6807,axiom,(+ chea(umschichten_1_1,umschichten_2_1) )).++fof(fact_6808,axiom,(+ chea(umschichten_1_1,umschichtung_1_1) )).++fof(fact_6809,axiom,(+ chea(umschiffen_1_1,umschiffung_1_1) )).++fof(fact_6810,axiom,(+ chea(umschiffen_1_1,vermeiden_2_1) )).++fof(fact_6811,axiom,(+ chea(umschlie__337en_1_2,umschlie__337ung_1_2) )).++fof(fact_6812,axiom,(+ chea(umschmelzen_1_1,umschmelzung_1_1) )).++fof(fact_6813,axiom,(+ chea(umschnallen_1_1,umschnallen_2_1) )).++fof(fact_6814,axiom,(+ chea(umschreiben_2_1,umschreibung_1_3) )).++fof(fact_6815,axiom,(+ chea(umschulden_1_1,umschuldung_1_1) )).++fof(fact_6816,axiom,(+ chea(umschulen_1_1,umschulung_1_1) )).++fof(fact_6817,axiom,(+ chea(umschulen_1_1,umschulung_1_2) )).++fof(fact_6818,axiom,(+ chea(umschwenken_1_1,umschwenken_2_1) )).++fof(fact_6819,axiom,(+ chea(umsetzen_1_1,umsetzung_1_2) )).++fof(fact_6820,axiom,(+ chea(umsetzen_1_2,umsetzung_1_1) )).++fof(fact_6821,axiom,(+ chea(umsiedeln_1_1,umsiedelung_1_1) )).++fof(fact_6822,axiom,(+ chea(umsiedeln_1_1,umsiedlung_1_1) )).++fof(fact_6823,axiom,(+ chea(umsiedeln_2_1,umsiedelung_1_2) )).++fof(fact_6824,axiom,(+ chea(umsiedeln_2_1,umsiedlung_1_2) )).++fof(fact_6825,axiom,(+ chea(umsorgen_1_1,umsorgen_2_1) )).++fof(fact_6826,axiom,(+ chea(umsorgen_1_1,umsorgung_1_1) )).++fof(fact_6827,axiom,(+ chea(umspielen_1_1,umspielen_2_1) )).++fof(fact_6828,axiom,(+ chea(umspielen_1_1,umspielung_1_1) )).++fof(fact_6829,axiom,(+ chea(umspinnen_1_1,umspinnen_2_1) )).++fof(fact_6830,axiom,(+ chea(umspinnen_1_1,umspinnung_1_1) )).++fof(fact_6831,axiom,(+ chea(umsteigen_1_1,umsteigen_2_1) )).++fof(fact_6832,axiom,(+ chea(umstellen_1_1,umstellen_3_1) )).++fof(fact_6833,axiom,(+ chea(umstellen_1_2,umstellung_1_2) )).++fof(fact_6834,axiom,(+ chea(umstellen_2_1,umstellung_1_3) )).++fof(fact_6835,axiom,(+ chea(umsteuern_1_1,umsteuern_2_1) )).++fof(fact_6836,axiom,(+ chea(umstimmen_1_1,umstimmen_2_1) )).++fof(fact_6837,axiom,(+ chea(umstimmen_1_1,umstimmung_1_1) )).++fof(fact_6838,axiom,(+ chea(umsto__337en_1_1,umsto__337en_2_1) )).++fof(fact_6839,axiom,(+ chea(umsto__337en_1_1,umst__374rzen_2_1) )).++fof(fact_6840,axiom,(+ chea(umsto__337en_1_1,umwerfen_2_1) )).++fof(fact_6841,axiom,(+ chea(umstr__366men_1_1,umstr__366mung_1_1) )).++fof(fact_6842,axiom,(+ chea(umtaufen_1_1,umtaufen_2_1) )).++fof(fact_6843,axiom,(+ chea(umtaufen_1_1,umtaufung_1_1) )).++fof(fact_6844,axiom,(+ chea(umtopfen_1_1,umtopfen_2_1) )).++fof(fact_6845,axiom,(+ chea(umtreiben_1_1,umtreiben_2_1) )).++fof(fact_6846,axiom,(+ chea(umverteilen_1_1,umverteilen_2_1) )).++fof(fact_6847,axiom,(+ chea(umverteilen_1_1,umverteilung_1_1) )).++fof(fact_6848,axiom,(+ chea(umwachsen_1_1,umwachsen_2_1) )).++fof(fact_6849,axiom,(+ chea(umwallen_1_1,umwallung_1_1) )).++fof(fact_6850,axiom,(+ chea(umwandeln_1_1,umwandlung_1_2) )).++fof(fact_6851,axiom,(+ chea(umwandeln_1_2,umwandlung_1_1) )).++fof(fact_6852,axiom,(+ chea(umwanden_1_1,umwandung_1_1) )).++fof(fact_6853,axiom,(+ chea(umwechseln_1_1,umwechseln_2_1) )).++fof(fact_6854,axiom,(+ chea(umwenden_1_1,umwenden_2_1) )).++fof(fact_6855,axiom,(+ chea(umwerten_1_1,umwertung_1_1) )).++fof(fact_6856,axiom,(+ chea(umwidmen_1_1,umwidmung_1_1) )).++fof(fact_6857,axiom,(+ chea(umw__344lzen_1_1,umbruch_1_1) )).++fof(fact_6858,axiom,(+ chea(umw__344lzen_1_1,umw__344lzen_2_1) )).++fof(fact_6859,axiom,(+ chea(umzeichnen_1_1,umzeichnung_1_1) )).++fof(fact_6860,axiom,(+ chea(um__344ndern_1_1,um__344nderung_1_1) )).++fof(fact_6861,axiom,(+ chea(undulieren_1_1,undulation_1_1) )).++fof(fact_6862,axiom,(+ chea(undulieren_1_1,undulieren_2_1) )).++fof(fact_6863,axiom,(+ chea(unieren_1_1,unierung_1_1) )).++fof(fact_6864,axiom,(+ chea(unifizieren_1_1,unifizieren_2_1) )).++fof(fact_6865,axiom,(+ chea(unifizieren_1_1,unifizierung_1_1) )).++fof(fact_6866,axiom,(+ chea(uniformieren_1_1,uniformieren_2_1) )).++fof(fact_6867,axiom,(+ chea(uniformieren_1_1,uniformierung_1_1) )).++fof(fact_6868,axiom,(+ chea(unterbauen_1_1,unterbauen_2_1) )).++fof(fact_6869,axiom,(+ chea(unterbauen_1_1,unterbauung_1_1) )).++fof(fact_6870,axiom,(+ chea(unterbelichten_1_1,unterbelichtung_1_1) )).++fof(fact_6871,axiom,(+ chea(unterbewerten_1_1,unterbewertung_1_1) )).++fof(fact_6872,axiom,(+ chea(unterbewerten_1_1,untersch__344tzung_1_1) )).++fof(fact_6873,axiom,(+ chea(unterbezahlen_1_1,unterbezahlung_1_1) )).++fof(fact_6874,axiom,(+ chea(unterbieten_1_1,unterbietung_1_1) )).++fof(fact_6875,axiom,(+ chea(unterbieten_1_2,unterbietung_1_2) )).++fof(fact_6876,axiom,(+ chea(unterbinden_1_1,vereiteln_2_1) )).++fof(fact_6877,axiom,(+ chea(unterbinden_1_1,vereitelung_1_1) )).++fof(fact_6878,axiom,(+ chea(unterbleiben_1_1,unterbleiben_2_1) )).++fof(fact_6879,axiom,(+ chea(unterbrechen_1_1,abbruch_1_1) )).++fof(fact_6880,axiom,(+ chea(unterbrechen_1_2,unterbrechung_1_2) )).++fof(fact_6881,axiom,(+ chea(unterdr__374cken_1_1,unterdr__374ckung_1_1) )).++fof(fact_6882,axiom,(+ chea(unterdr__374cken_1_2,unterdr__374ckung_1_2) )).++fof(fact_6883,axiom,(+ chea(unterfahren_1_1,unterfahren_2_1) )).++fof(fact_6884,axiom,(+ chea(unterfahren_1_1,unterfahrung_1_1) )).++fof(fact_6885,axiom,(+ chea(unterfangen_2_1,unterfangen_1_1) )).++fof(fact_6886,axiom,(+ chea(unterfangen_2_1,unterfangung_1_1) )).++fof(fact_6887,axiom,(+ chea(unterfertigen_1_1,unterfertigung_1_1) )).++fof(fact_6888,axiom,(+ chea(unterfliegen_1_1,unterfliegen_2_1) )).++fof(fact_6889,axiom,(+ chea(unterf__374hren_1_1,fussg__344nger_unterf__374hrung_1_1) )).++fof(fact_6890,axiom,(+ chea(untergraben_1_1,untergrabung_1_1) )).++fof(fact_6891,axiom,(+ chea(untergraben_2_1,untergrabung_1_2) )).++fof(fact_6892,axiom,(+ chea(unterhalten_1_2,unterhaltung_1_2) )).++fof(fact_6893,axiom,(+ chea(unterhalten_1_3,unterhaltung_1_3) )).++fof(fact_6894,axiom,(+ chea(unterhandeln_1_1,unterhandeln_4_1) )).++fof(fact_6895,axiom,(+ chea(unterh__366hlen_1_1,unterh__366hlung_1_1) )).++fof(fact_6896,axiom,(+ chea(unterjochen_1_1,knebelung_1_1) )).++fof(fact_6897,axiom,(+ chea(unterjochen_1_1,unterwerfung_1_1) )).++fof(fact_6898,axiom,(+ chea(unterjubeln_1_1,unterschiebung_1_1) )).++fof(fact_6899,axiom,(+ chea(unterkommen_1_1,unterkommen_2_1) )).++fof(fact_6900,axiom,(+ chea(unterkriechen_1_1,unterkriechen_2_1) )).++fof(fact_6901,axiom,(+ chea(unterk__374hlen_1_1,hypothermie_1_1) )).++fof(fact_6902,axiom,(+ chea(unterlassen_1_1,unterlassen_2_1) )).++fof(fact_6903,axiom,(+ chea(unterlassen_1_1,unterlassung_1_1) )).++fof(fact_6904,axiom,(+ chea(unterlaufen_1_1,unterlaufen_2_1) )).++fof(fact_6905,axiom,(+ chea(unterlaufen_1_1,unterlaufung_1_1) )).++fof(fact_6906,axiom,(+ chea(unterlegen_1_1,unterlegung_1_1) )).++fof(fact_6907,axiom,(+ chea(untermalen_1_1,untermalen_2_1) )).++fof(fact_6908,axiom,(+ chea(untermalen_1_1,untermalung_1_1) )).++fof(fact_6909,axiom,(+ chea(untermauern_1_1,untermauerung_1_1) )).++fof(fact_6910,axiom,(+ chea(untermauern_1_2,untermauerung_1_2) )).++fof(fact_6911,axiom,(+ chea(unterminieren_1_1,unterminieren_2_1) )).++fof(fact_6912,axiom,(+ chea(unterminieren_1_1,unterminierung_1_1) )).++fof(fact_6913,axiom,(+ chea(unternehmen_2_1,unternehmung_1_1) )).++fof(fact_6914,axiom,(+ chea(unterordnen_1_1,unterordnung_1_1) )).++fof(fact_6915,axiom,(+ chea(unterqueren_1_1,unterqueren_2_1) )).++fof(fact_6916,axiom,(+ chea(unterqueren_1_1,unterquerung_1_1) )).++fof(fact_6917,axiom,(+ chea(unterreden_1_1,gespraech_1_1) )).++fof(fact_6918,axiom,(+ chea(unterrichten_1_3,unterrichtung_1_1) )).++fof(fact_6919,axiom,(+ chea(untersagen_1_1,untersagung_1_1) )).++fof(fact_6920,axiom,(+ chea(unterscheiden_1_1,unterscheidung_1_1) )).++fof(fact_6921,axiom,(+ chea(unterschneiden_1_1,unterschneiden_2_1) )).++fof(fact_6922,axiom,(+ chea(unterschneiden_1_1,unterschneidung_1_1) )).++fof(fact_6923,axiom,(+ chea(unterschreiten_1_1,unterschreiten_2_1) )).++fof(fact_6924,axiom,(+ chea(unterschreiten_1_1,unterschreitung_1_1) )).++fof(fact_6925,axiom,(+ chea(untersinken_1_1,untersinken_2_1) )).++fof(fact_6926,axiom,(+ chea(untersp__374len_1_1,untersp__374len_2_1) )).++fof(fact_6927,axiom,(+ chea(untersp__374len_1_1,untersp__374lung_1_1) )).++fof(fact_6928,axiom,(+ chea(unterstellen_2_1,unterstellung_1_1) )).++fof(fact_6929,axiom,(+ chea(unterstreichen_1_1,unterstreichung_1_1) )).++fof(fact_6930,axiom,(+ chea(unterst__374tzen_1_1,mithilfe_2_1) )).++fof(fact_6931,axiom,(+ chea(unterst__374tzen_1_2,unterst__374tzung_1_2) )).++fof(fact_6932,axiom,(+ chea(untersuchen_1_1,untersuchung_1_1) )).++fof(fact_6933,axiom,(+ chea(unterteilen_1_1,unterteilen_2_1) )).++fof(fact_6934,axiom,(+ chea(unterteilen_1_1,unterteilung_1_1) )).++fof(fact_6935,axiom,(+ chea(untertiteln_1_1,untertiteln_2_1) )).++fof(fact_6936,axiom,(+ chea(untertreiben_1_1,tiefstapelei_1_1) )).++fof(fact_6937,axiom,(+ chea(untervermieten_1_1,untervermieter_1_1) )).++fof(fact_6938,axiom,(+ chea(unterwaschen_1_1,unterwaschung_1_1) )).++fof(fact_6939,axiom,(+ chea(unterweisen_1_1,unterweisen_2_1) )).++fof(fact_6940,axiom,(+ chea(unterweisen_1_1,unterweisung_1_1) )).++fof(fact_6941,axiom,(+ chea(urbanisieren_1_1,urbanisation_1_1) )).++fof(fact_6942,axiom,(+ chea(urbanisieren_1_1,urbanisierung_1_1) )).++fof(fact_6943,axiom,(+ chea(urkunden_1_1,urkunden_2_1) )).++fof(fact_6944,axiom,(+ chea(usurpieren_1_1,thronraub_1_1) )).++fof(fact_6945,axiom,(+ chea(vakzinieren_1_1,impfung_1_1) )).++fof(fact_6946,axiom,(+ chea(vakzinieren_1_1,vakzinierung_1_1) )).++fof(fact_6947,axiom,(+ chea(validieren_1_1,validation_1_1) )).++fof(fact_6948,axiom,(+ chea(validieren_1_1,validieren_2_1) )).++fof(fact_6949,axiom,(+ chea(validieren_1_1,validierung_1_1) )).++fof(fact_6950,axiom,(+ chea(valorisieren_1_1,valorisation_1_1) )).++fof(fact_6951,axiom,(+ chea(valorisieren_1_1,valorisierung_1_1) )).++fof(fact_6952,axiom,(+ chea(valutieren_1_1,valutierung_1_1) )).++fof(fact_6953,axiom,(+ chea(valvieren_1_1,valvation_1_1) )).++fof(fact_6954,axiom,(+ chea(vaporisieren_1_1,vaporisation_1_1) )).++fof(fact_6955,axiom,(+ chea(vaporisieren_1_1,vaporisierung_1_1) )).++fof(fact_6956,axiom,(+ chea(vaporisieren_1_1,verdampfung_1_2) )).++fof(fact_6957,axiom,(+ chea(vaporisieren_1_1,zerst__344uben_2_1) )).++fof(fact_6958,axiom,(+ chea(vaporisieren_1_1,zerst__344ubung_1_1) )).++fof(fact_6959,axiom,(+ chea(variieren_1_1,variation_1_2) )).++fof(fact_6960,axiom,(+ chea(vegetieren_1_1,flora_1_1) )).++fof(fact_6961,axiom,(+ chea(vegetieren_1_1,vegetieren_2_1) )).++fof(fact_6962,axiom,(+ chea(verabreden_1_2,verabredung_1_2) )).++fof(fact_6963,axiom,(+ chea(verabreichen_1_1,verabreichung_1_1) )).++fof(fact_6964,axiom,(+ chea(verabschieden_1_2,verabschiedung_1_2) )).++fof(fact_6965,axiom,(+ chea(verabsolutieren_1_1,verabsolutierung_1_1) )).++fof(fact_6966,axiom,(+ chea(verachten_1_1,verachten_2_1) )).++fof(fact_6967,axiom,(+ chea(verachten_1_1,verachtung_1_1) )).++fof(fact_6968,axiom,(+ chea(verallt__344glichen_1_1,verallt__344glichung_1_1) )).++fof(fact_6969,axiom,(+ chea(veralten_1_1,veralten_2_1) )).++fof(fact_6970,axiom,(+ chea(veralten_1_1,veraltung_1_1) )).++fof(fact_6971,axiom,(+ chea(veranlagen_1_1,veranlagen_2_1) )).++fof(fact_6972,axiom,(+ chea(veranlagen_1_1,veranlagung_1_1) )).++fof(fact_6973,axiom,(+ chea(veranlassen_1_1,veranlassung_1_1) )).++fof(fact_6974,axiom,(+ chea(veranlassen_1_2,veranlassung_1_2) )).++fof(fact_6975,axiom,(+ chea(veranschaulichen_1_1,veranschaulichen_2_1) )).++fof(fact_6976,axiom,(+ chea(veranschaulichen_1_1,veranschaulichung_1_1) )).++fof(fact_6977,axiom,(+ chea(veranschlagen_1_1,veranschlagen_2_1) )).++fof(fact_6978,axiom,(+ chea(veranschlagen_1_1,veranschlagung_1_1) )).++fof(fact_6979,axiom,(+ chea(veranstalten_1_1,event_1_1) )).++fof(fact_6980,axiom,(+ chea(veranstalten_1_1,veranstalten_2_1) )).++fof(fact_6981,axiom,(+ chea(verantworten_1_1,verantwortung_1_1) )).++fof(fact_6982,axiom,(+ chea(verantworten_1_2,verantwortung_1_2) )).++fof(fact_6983,axiom,(+ chea(verarbeiten_1_2,verarbeitung_1_2) )).++fof(fact_6984,axiom,(+ chea(verarmen_1_1,verarmen_2_1) )).++fof(fact_6985,axiom,(+ chea(verarmen_1_1,verarmung_1_1) )).++fof(fact_6986,axiom,(+ chea(verarzten_1_1,verarzten_2_1) )).++fof(fact_6987,axiom,(+ chea(verarzten_1_1,verarztung_1_1) )).++fof(fact_6988,axiom,(+ chea(verausgaben_1_1,verausgaben_2_1) )).++fof(fact_6989,axiom,(+ chea(verausgaben_1_1,verausgabung_1_1) )).++fof(fact_6990,axiom,(+ chea(verausgaben_1_1,n374berarbeitung_1_2) )).++fof(fact_6991,axiom,(+ chea(verbalisieren_1_1,verbalisierung_1_1) )).++fof(fact_6992,axiom,(+ chea(verbannen_1_1,exil_1_1) )).++fof(fact_6993,axiom,(+ chea(verbannen_1_1,verbannen_2_1) )).++fof(fact_6994,axiom,(+ chea(verbauen_1_1,verbauung_1_1) )).++fof(fact_6995,axiom,(+ chea(verbauen_1_3,verbauung_1_3) )).++fof(fact_6996,axiom,(+ chea(verbeamten_1_1,verbeamtung_1_1) )).++fof(fact_6997,axiom,(+ chea(verbellen_1_1,verbellen_2_1) )).++fof(fact_6998,axiom,(+ chea(verbergen_1_1,verbergen_2_1) )).++fof(fact_6999,axiom,(+ chea(verbergen_1_1,verbergung_1_1) )).++fof(fact_7000,axiom,(+ chea(verbeugen_1_1,verbeugen_2_1) )).++fof(fact_7001,axiom,(+ chea(verbeugen_1_1,verbeugung_1_1) )).++fof(fact_7002,axiom,(+ chea(verbeugen_1_1,verneigen_2_1) )).++fof(fact_7003,axiom,(+ chea(verbeugen_1_1,verneigung_1_1) )).++fof(fact_7004,axiom,(+ chea(verbiegen_1_1,verbiegung_1_1) )).++fof(fact_7005,axiom,(+ chea(verbiegen_1_2,verbiegung_1_2) )).++fof(fact_7006,axiom,(+ chea(verbilden_1_1,verbildung_1_1) )).++fof(fact_7007,axiom,(+ chea(verbildlichen_1_1,verbildlichung_1_1) )).++fof(fact_7008,axiom,(+ chea(verbilligen_1_1,verbilligung_1_1) )).++fof(fact_7009,axiom,(+ chea(verbilligen_1_2,verbilligung_1_2) )).++fof(fact_7010,axiom,(+ chea(verbinden_1_1,verbindung_1_2) )).++fof(fact_7011,axiom,(+ chea(verblassen_1_1,verblassen_2_1) )).++fof(fact_7012,axiom,(+ chea(verbleiben_1_1,andauer_1_1) )).++fof(fact_7013,axiom,(+ chea(verbleiben_1_1,n374brigbleiben_2_1) )).++fof(fact_7014,axiom,(+ chea(verbleien_1_1,verbleien_2_1) )).++fof(fact_7015,axiom,(+ chea(verblenden_1_1,ignoranz_1_1) )).++fof(fact_7016,axiom,(+ chea(verblenden_1_1,verblenden_2_1) )).++fof(fact_7017,axiom,(+ chea(verbluten_1_1,verbluten_2_1) )).++fof(fact_7018,axiom,(+ chea(verbluten_1_1,verblutung_1_1) )).++fof(fact_7019,axiom,(+ chea(verbl__366den_1_1,verbl__366dung_1_1) )).++fof(fact_7020,axiom,(+ chea(verbl__366den_1_1,verdummung_1_1) )).++fof(fact_7021,axiom,(+ chea(verbl__374ffen_1_1,verbl__374ffung_1_1) )).++fof(fact_7022,axiom,(+ chea(verbl__374hen_1_1,verbl__374hen_2_1) )).++fof(fact_7023,axiom,(+ chea(verborgen_2_1,verborgen_3_1) )).++fof(fact_7024,axiom,(+ chea(verbreiten_1_1,verbreitung_1_2) )).++fof(fact_7025,axiom,(+ chea(verbreiten_1_2,verbreitung_1_1) )).++fof(fact_7026,axiom,(+ chea(verbreitern_1_1,verbreiterung_1_1) )).++fof(fact_7027,axiom,(+ chea(verbrennen_1_1,verbrennung_1_2) )).++fof(fact_7028,axiom,(+ chea(verbr__344men_1_1,verbr__344mung_1_1) )).++fof(fact_7029,axiom,(+ chea(verbr__374hen_1_1,verbr__374hen_2_1) )).++fof(fact_7030,axiom,(+ chea(verbr__374hen_1_1,verbr__374hung_1_1) )).++fof(fact_7031,axiom,(+ chea(verbuchen_1_1,verbuchen_2_1) )).++fof(fact_7032,axiom,(+ chea(verbuchen_1_1,verbuchung_1_1) )).++fof(fact_7033,axiom,(+ chea(verb__374rgerlichen_1_1,verb__374rgerlichung_1_1) )).++fof(fact_7034,axiom,(+ chea(verb__374__337en_1_1,verb__374__337en_2_1) )).++fof(fact_7035,axiom,(+ chea(verb__374__337en_1_1,verb__374__337ung_1_1) )).++fof(fact_7036,axiom,(+ chea(verchromen_1_1,verchromen_2_1) )).++fof(fact_7037,axiom,(+ chea(verchromen_1_1,verchromung_1_1) )).++fof(fact_7038,axiom,(+ chea(verdammen_1_1,verdammung_1_1) )).++fof(fact_7039,axiom,(+ chea(verdammen_2_1,verdammung_1_2) )).++fof(fact_7040,axiom,(+ chea(verdampfen_1_1,verdampfung_1_1) )).++fof(fact_7041,axiom,(+ chea(verdauen_1_1,verdauung_1_1) )).++fof(fact_7042,axiom,(+ chea(verdauen_1_2,verdauung_1_2) )).++fof(fact_7043,axiom,(+ chea(verdeutlichen_1_2,verdeutlichung_1_2) )).++fof(fact_7044,axiom,(+ chea(verdeutschen_1_1,verdeutschung_1_1) )).++fof(fact_7045,axiom,(+ chea(verdichten_1_1,verdichtung_1_2) )).++fof(fact_7046,axiom,(+ chea(verdichten_1_2,verdichtung_1_1) )).++fof(fact_7047,axiom,(+ chea(verdicken_1_1,verdicken_2_1) )).++fof(fact_7048,axiom,(+ chea(verdicken_1_1,verdickung_1_1) )).++fof(fact_7049,axiom,(+ chea(verdienen_1_1,verdienen_2_1) )).++fof(fact_7050,axiom,(+ chea(verdingen_1_1,verdingen_2_1) )).++fof(fact_7051,axiom,(+ chea(verdingen_1_1,verdingung_1_1) )).++fof(fact_7052,axiom,(+ chea(verdinglichen_1_1,verdinglichung_1_1) )).++fof(fact_7053,axiom,(+ chea(verdinglichen_1_1,versachlichen_2_1) )).++fof(fact_7054,axiom,(+ chea(verdinglichen_1_1,versachlichung_1_1) )).++fof(fact_7055,axiom,(+ chea(verdrecken_1_1,verdreckung_1_1) )).++fof(fact_7056,axiom,(+ chea(verdrehen_1_2,torsion_1_1) )).++fof(fact_7057,axiom,(+ chea(verdreifachen_1_1,verdreifachung_1_1) )).++fof(fact_7058,axiom,(+ chea(verdrillen_1_1,verdrillen_2_1) )).++fof(fact_7059,axiom,(+ chea(verdrillen_1_1,verdrillung_1_1) )).++fof(fact_7060,axiom,(+ chea(verdr__344ngen_1_1,verdr__344ngung_1_1) )).++fof(fact_7061,axiom,(+ chea(verdr__344ngen_1_2,verdr__344ngung_1_2) )).++fof(fact_7062,axiom,(+ chea(verdr__344ngen_1_3,verdr__344ngung_1_3) )).++fof(fact_7063,axiom,(+ chea(verdr__374cken_1_1,verdr__374ckung_1_1) )).++fof(fact_7064,axiom,(+ chea(verdunkeln_1_1,verdunkeln_2_1) )).++fof(fact_7065,axiom,(+ chea(verdunkeln_1_1,verdunkelung_1_1) )).++fof(fact_7066,axiom,(+ chea(verdunkeln_1_1,verdunklung_1_1) )).++fof(fact_7067,axiom,(+ chea(verdunsten_1_1,verdunsten_2_1) )).++fof(fact_7068,axiom,(+ chea(verdunsten_1_1,verdunstung_1_1) )).++fof(fact_7069,axiom,(+ chea(verdursten_1_1,verdursten_2_1) )).++fof(fact_7070,axiom,(+ chea(verd__344chtigen_1_1,verd__344chtigung_1_1) )).++fof(fact_7071,axiom,(+ chea(verd__374nnen_1_1,verd__374nnen_2_1) )).++fof(fact_7072,axiom,(+ chea(verd__374nnen_1_1,verd__374nnung_1_1) )).++fof(fact_7073,axiom,(+ chea(veredeln_1_1,veredeln_2_1) )).++fof(fact_7074,axiom,(+ chea(verehren_1_1,anbetung_1_1) )).++fof(fact_7075,axiom,(+ chea(verehren_1_1,verehren_2_1) )).++fof(fact_7076,axiom,(+ chea(vereidigen_1_1,vereidigung_1_1) )).++fof(fact_7077,axiom,(+ chea(vereinbaren_1_2,vereinbarung_1_2) )).++fof(fact_7078,axiom,(+ chea(vereinigen_1_1,vereinigung_1_2) )).++fof(fact_7079,axiom,(+ chea(vereinigen_1_2,vereinigung_1_3) )).++fof(fact_7080,axiom,(+ chea(vereinnahmen_1_1,vereinnahmung_1_1) )).++fof(fact_7081,axiom,(+ chea(vereinsamen_1_1,vereinsamung_1_1) )).++fof(fact_7082,axiom,(+ chea(vereinzeln_1_1,vereinzelung_1_1) )).++fof(fact_7083,axiom,(+ chea(vereisen_1_1,vereisung_1_1) )).++fof(fact_7084,axiom,(+ chea(vereisen_2_1,vereisung_1_2) )).++fof(fact_7085,axiom,(+ chea(verelenden_1_1,verarmung_1_1) )).++fof(fact_7086,axiom,(+ chea(verengen_1_3,verengung_1_1) )).++fof(fact_7087,axiom,(+ chea(vererben_1_1,vererben_2_1) )).++fof(fact_7088,axiom,(+ chea(vererben_1_1,vererbung_1_1) )).++fof(fact_7089,axiom,(+ chea(verewigen_1_1,verewigung_1_1) )).++fof(fact_7090,axiom,(+ chea(verfangen_1_1,verfangen_2_1) )).++fof(fact_7091,axiom,(+ chea(verfassen_1_1,verfassen_2_1) )).++fof(fact_7092,axiom,(+ chea(verfassen_1_1,verfassung_2_1) )).++fof(fact_7093,axiom,(+ chea(verfechten_1_1,verfechtung_1_1) )).++fof(fact_7094,axiom,(+ chea(verfehlen_1_1,verfehlen_2_1) )).++fof(fact_7095,axiom,(+ chea(verfehlen_1_1,verfehlung_1_1) )).++fof(fact_7096,axiom,(+ chea(verfeinden_1_1,verfeindung_1_1) )).++fof(fact_7097,axiom,(+ chea(verfemen_1_1,verfemung_1_1) )).++fof(fact_7098,axiom,(+ chea(verfemen_1_1,n344chten_2_1) )).++fof(fact_7099,axiom,(+ chea(verfestigen_1_1,verfestigen_2_1) )).++fof(fact_7100,axiom,(+ chea(verfestigen_1_1,verfestigung_1_1) )).++fof(fact_7101,axiom,(+ chea(verfetten_1_1,verfetten_2_1) )).++fof(fact_7102,axiom,(+ chea(verfetten_1_1,verfettung_1_1) )).++fof(fact_7103,axiom,(+ chea(verfilmen_1_1,verfilmen_2_1) )).++fof(fact_7104,axiom,(+ chea(verfilmen_1_1,verfilmung_1_1) )).++fof(fact_7105,axiom,(+ chea(verfilzen_1_1,verfilzen_2_1) )).++fof(fact_7106,axiom,(+ chea(verfilzen_1_1,verfilzung_1_1) )).++fof(fact_7107,axiom,(+ chea(verflachen_1_1,verflachung_1_1) )).++fof(fact_7108,axiom,(+ chea(verflechten_1_1,verflechtung_1_1) )).++fof(fact_7109,axiom,(+ chea(verflechten_1_2,verflechtung_1_2) )).++fof(fact_7110,axiom,(+ chea(verflie__337en_1_1,verflie__337en_2_1) )).++fof(fact_7111,axiom,(+ chea(verflie__337en_1_1,zerflie__337en_2_1) )).++fof(fact_7112,axiom,(+ chea(verfluchen_1_1,verfluchen_2_1) )).++fof(fact_7113,axiom,(+ chea(verfluchen_1_1,verfluchung_1_1) )).++fof(fact_7114,axiom,(+ chea(verfl__374chtigen_1_1,verdunstung_1_1) )).++fof(fact_7115,axiom,(+ chea(verfl__374chtigen_1_1,verfl__374chtigen_2_1) )).++fof(fact_7116,axiom,(+ chea(verfl__374ssigen_1_1,verfl__374ssigen_2_1) )).++fof(fact_7117,axiom,(+ chea(verfl__374ssigen_1_1,verfl__374ssigung_1_1) )).++fof(fact_7118,axiom,(+ chea(verfolgen_1_1,verfolgen_2_1) )).++fof(fact_7119,axiom,(+ chea(verfrachten_1_1,verfrachtung_1_1) )).++fof(fact_7120,axiom,(+ chea(verfrachten_1_1,verstauen_2_1) )).++fof(fact_7121,axiom,(+ chea(verfrachten_1_1,verstauung_1_1) )).++fof(fact_7122,axiom,(+ chea(verfrachten_1_2,verfrachtung_1_2) )).++fof(fact_7123,axiom,(+ chea(verf__344lschen_1_1,verf__344lschen_2_1) )).++fof(fact_7124,axiom,(+ chea(verf__344lschen_1_1,verf__344lschung_1_1) )).++fof(fact_7125,axiom,(+ chea(verf__344rben_1_1,verf__344rbung_1_1) )).++fof(fact_7126,axiom,(+ chea(verf__374hren_1_1,anstiften_2_1) )).++fof(fact_7127,axiom,(+ chea(verf__374hren_1_1,verf__374hrung_1_1) )).++fof(fact_7128,axiom,(+ chea(verf__374hren_1_1,verleitung_1_1) )).++fof(fact_7129,axiom,(+ chea(verf__374llen_1_1,verf__374llen_2_1) )).++fof(fact_7130,axiom,(+ chea(verf__374llen_1_1,verf__374llung_1_1) )).++fof(fact_7131,axiom,(+ chea(verf__374ttern_1_1,verf__374tterung_1_1) )).++fof(fact_7132,axiom,(+ chea(vergaben_1_1,vergabung_1_1) )).++fof(fact_7133,axiom,(+ chea(vergammeln_1_1,vergammeln_2_1) )).++fof(fact_7134,axiom,(+ chea(vergasen_1_1,vergasen_2_1) )).++fof(fact_7135,axiom,(+ chea(vergasen_1_1,vergasung_1_1) )).++fof(fact_7136,axiom,(+ chea(vergeben_1_1,vergebung_1_1) )).++fof(fact_7137,axiom,(+ chea(vergeben_1_1,verzeihen_2_1) )).++fof(fact_7138,axiom,(+ chea(vergeben_1_1,verzeihung_1_1) )).++fof(fact_7139,axiom,(+ chea(vergeben_1_2,vergebung_1_2) )).++fof(fact_7140,axiom,(+ chea(vergegenw__344rtigen_1_1,erleuchtung_1_1) )).++fof(fact_7141,axiom,(+ chea(vergegenw__344rtigen_1_1,vergegenw__344rtigen_2_1) )).++fof(fact_7142,axiom,(+ chea(vergeistigen_1_1,vergeistigung_1_1) )).++fof(fact_7143,axiom,(+ chea(vergelten_1_1,bestrafung_1_1) )).++fof(fact_7144,axiom,(+ chea(vergemeinschaften_1_1,vergemeinschaftung_1_1) )).++fof(fact_7145,axiom,(+ chea(vergemeinschaften_1_2,vergemeinschaftung_1_1) )).++fof(fact_7146,axiom,(+ chea(vergesellschaften_1_2,enteignung_1_1) )).++fof(fact_7147,axiom,(+ chea(vergesellschaften_1_3,enteignung_1_1) )).++fof(fact_7148,axiom,(+ chea(vergessen_1_1,vergessen_2_1) )).++fof(fact_7149,axiom,(+ chea(vergeuden_1_1,prasserei_1_1) )).++fof(fact_7150,axiom,(+ chea(vergeuden_1_1,verschwenden_2_1) )).++fof(fact_7151,axiom,(+ chea(vergewissern_1_1,vergewisserung_1_1) )).++fof(fact_7152,axiom,(+ chea(vergie__337en_1_1,vergie__337en_2_1) )).++fof(fact_7153,axiom,(+ chea(vergie__337en_1_1,vergie__337ung_1_1) )).++fof(fact_7154,axiom,(+ chea(vergie__337en_1_1,versch__374ttung_1_1) )).++fof(fact_7155,axiom,(+ chea(vergiften_1_1,intoxikation_1_1) )).++fof(fact_7156,axiom,(+ chea(vergiften_1_1,vergiften_2_1) )).++fof(fact_7157,axiom,(+ chea(vergilben_1_1,vergilben_2_1) )).++fof(fact_7158,axiom,(+ chea(vergilben_1_1,vergilbung_1_1) )).++fof(fact_7159,axiom,(+ chea(verglasen_1_1,verglasen_2_1) )).++fof(fact_7160,axiom,(+ chea(verglasen_1_1,verglasung_1_1) )).++fof(fact_7161,axiom,(+ chea(vergleichen_1_1,vergleich_1_1) )).++fof(fact_7162,axiom,(+ chea(verglimmen_1_1,verglimmen_2_1) )).++fof(fact_7163,axiom,(+ chea(vergl__374hen_1_1,vergl__374hen_2_1) )).++fof(fact_7164,axiom,(+ chea(vergolden_1_1,vergolden_2_1) )).++fof(fact_7165,axiom,(+ chea(vergolden_1_1,vergoldung_1_1) )).++fof(fact_7166,axiom,(+ chea(vergotten_1_1,vergottung_1_1) )).++fof(fact_7167,axiom,(+ chea(vergreisen_1_1,vergreisen_2_1) )).++fof(fact_7168,axiom,(+ chea(vergreisen_1_1,vergreisung_1_1) )).++fof(fact_7169,axiom,(+ chea(vergr__344men_1_1,vergr__344men_2_1) )).++fof(fact_7170,axiom,(+ chea(vergr__344men_1_1,vergr__344mung_1_1) )).++fof(fact_7171,axiom,(+ chea(verg__344llen_1_1,verg__344llen_2_1) )).++fof(fact_7172,axiom,(+ chea(verg__344llen_1_1,verg__344llung_1_1) )).++fof(fact_7173,axiom,(+ chea(verg__344ren_1_1,verg__344ren_2_1) )).++fof(fact_7174,axiom,(+ chea(verg__344ren_1_1,verg__344rung_1_1) )).++fof(fact_7175,axiom,(+ chea(verg__374nstigen_1_1,verg__374nstigung_1_1) )).++fof(fact_7176,axiom,(+ chea(verhallen_1_1,verhallen_2_1) )).++fof(fact_7177,axiom,(+ chea(verhandeln_1_1,verhandlung_1_1) )).++fof(fact_7178,axiom,(+ chea(verheeren_1_1,verheeren_2_1) )).++fof(fact_7179,axiom,(+ chea(verheeren_1_1,verheerung_1_1) )).++fof(fact_7180,axiom,(+ chea(verheimlichen_1_1,verheimlichen_2_1) )).++fof(fact_7181,axiom,(+ chea(verheimlichen_1_1,verheimlichung_1_1) )).++fof(fact_7182,axiom,(+ chea(verheiraten_1_1,verheiraten_2_1) )).++fof(fact_7183,axiom,(+ chea(verheiraten_1_1,verheiratung_1_1) )).++fof(fact_7184,axiom,(+ chea(verhei__337en_1_2,verhei__337ung_1_2) )).++fof(fact_7185,axiom,(+ chea(verhetzen_1_1,demagogie_1_1) )).++fof(fact_7186,axiom,(+ chea(verhindern_1_1,verhindern_2_1) )).++fof(fact_7187,axiom,(+ chea(verhochdeutschen_1_1,verhochdeutschung_1_1) )).++fof(fact_7188,axiom,(+ chea(verholzen_1_1,verholzung_1_1) )).++fof(fact_7189,axiom,(+ chea(verhungern_1_1,verhungern_2_1) )).++fof(fact_7190,axiom,(+ chea(verh__344ngen_1_1,verh__344ngung_1_2) )).++fof(fact_7191,axiom,(+ chea(verh__344ngen_2_1,verh__344ngung_1_1) )).++fof(fact_7192,axiom,(+ chea(verh__366kern_1_1,verscherbeln_2_1) )).++fof(fact_7193,axiom,(+ chea(verh__374llen_1_1,verh__374llen_2_1) )).++fof(fact_7194,axiom,(+ chea(verh__374llen_1_1,verh__374llung_1_1) )).++fof(fact_7195,axiom,(+ chea(verh__374ten_1_1,verh__374ten_2_1) )).++fof(fact_7196,axiom,(+ chea(verh__374ten_1_1,verh__374tung_1_1) )).++fof(fact_7197,axiom,(+ chea(verifizieren_1_1,verifizieren_2_1) )).++fof(fact_7198,axiom,(+ chea(verifizieren_1_1,verifizierung_1_1) )).++fof(fact_7199,axiom,(+ chea(verirren_1_1,abnormalit__344t_1_1) )).++fof(fact_7200,axiom,(+ chea(verirren_1_1,verirren_2_1) )).++fof(fact_7201,axiom,(+ chea(verjagen_1_1,verjagen_2_1) )).++fof(fact_7202,axiom,(+ chea(verjagen_1_1,verjagung_1_1) )).++fof(fact_7203,axiom,(+ chea(verj__344hren_1_1,verj__344hren_2_1) )).++fof(fact_7204,axiom,(+ chea(verj__344hren_1_1,verj__344hrung_1_1) )).++fof(fact_7205,axiom,(+ chea(verj__374ngen_1_1,verengung_1_1) )).++fof(fact_7206,axiom,(+ chea(verj__374ngen_1_1,verj__374ngen_2_1) )).++fof(fact_7207,axiom,(+ chea(verkalken_1_1,verkalken_2_1) )).++fof(fact_7208,axiom,(+ chea(verkalken_1_1,verkalkung_1_1) )).++fof(fact_7209,axiom,(+ chea(verkanten_1_1,verkanten_2_1) )).++fof(fact_7210,axiom,(+ chea(verkanten_1_1,verkantung_1_1) )).++fof(fact_7211,axiom,(+ chea(verkappen_1_1,verkappung_1_1) )).++fof(fact_7212,axiom,(+ chea(verkarten_1_1,verkartung_1_1) )).++fof(fact_7213,axiom,(+ chea(verkaufen_1_1,absatz_1_2) )).++fof(fact_7214,axiom,(+ chea(verkaufen_1_1,verkaufen_2_1) )).++fof(fact_7215,axiom,(+ chea(verkehren_2_1,verkehrung_1_1) )).++fof(fact_7216,axiom,(+ chea(verkeilen_1_1,verkeilen_2_1) )).++fof(fact_7217,axiom,(+ chea(verkeilen_1_1,verkeilung_1_1) )).++fof(fact_7218,axiom,(+ chea(verkennen_1_1,verkennen_2_1) )).++fof(fact_7219,axiom,(+ chea(verkennen_1_1,verkennung_1_1) )).++fof(fact_7220,axiom,(+ chea(verketten_1_1,aneinanderreihung_1_1) )).++fof(fact_7221,axiom,(+ chea(verketten_1_1,verketten_2_1) )).++fof(fact_7222,axiom,(+ chea(verkitschen_1_1,verkitschung_1_1) )).++fof(fact_7223,axiom,(+ chea(verkitten_1_1,verkitten_2_1) )).++fof(fact_7224,axiom,(+ chea(verkitten_1_1,verkittung_1_1) )).++fof(fact_7225,axiom,(+ chea(verklagen_1_1,verklagen_2_1) )).++fof(fact_7226,axiom,(+ chea(verklaren_1_1,verklarung_1_1) )).++fof(fact_7227,axiom,(+ chea(verklauseln_1_1,verklausulierung_1_1) )).++fof(fact_7228,axiom,(+ chea(verkleben_1_1,verkleben_2_1) )).++fof(fact_7229,axiom,(+ chea(verkleben_1_1,verklebung_1_1) )).++fof(fact_7230,axiom,(+ chea(verkleben_1_1,zukleben_2_1) )).++fof(fact_7231,axiom,(+ chea(verkleiden_1_2,verkleidung_1_1) )).++fof(fact_7232,axiom,(+ chea(verkleinern_1_1,verkleinerung_1_1) )).++fof(fact_7233,axiom,(+ chea(verklingen_1_1,verklingen_2_1) )).++fof(fact_7234,axiom,(+ chea(verklingen_1_1,verwelken_2_1) )).++fof(fact_7235,axiom,(+ chea(verklumpen_1_1,verklumpen_2_1) )).++fof(fact_7236,axiom,(+ chea(verklumpen_1_1,verklumpung_1_1) )).++fof(fact_7237,axiom,(+ chea(verkl__344ren_1_1,verkl__344rung_1_1) )).++fof(fact_7238,axiom,(+ chea(verkl__344ren_1_2,verkl__344rung_1_2) )).++fof(fact_7239,axiom,(+ chea(verknappen_1_1,verknappung_1_1) )).++fof(fact_7240,axiom,(+ chea(verkn__374pfen_1_1,verkn__374pfung_1_1) )).++fof(fact_7241,axiom,(+ chea(verkn__374pfen_1_2,verkn__374pfung_1_2) )).++fof(fact_7242,axiom,(+ chea(verkochen_1_1,verkochen_2_1) )).++fof(fact_7243,axiom,(+ chea(verkochen_1_1,verkochung_1_1) )).++fof(fact_7244,axiom,(+ chea(verkohlen_1_1,verkohlung_1_1) )).++fof(fact_7245,axiom,(+ chea(verkohlen_2_1,verkohlung_1_2) )).++fof(fact_7246,axiom,(+ chea(verkommen_1_1,verkommen_2_1) )).++fof(fact_7247,axiom,(+ chea(verkommen_1_1,verkommung_1_1) )).++fof(fact_7248,axiom,(+ chea(verkommen_1_1,verwahrlosen_2_1) )).++fof(fact_7249,axiom,(+ chea(verkommen_1_1,verwahrlosung_1_1) )).++fof(fact_7250,axiom,(+ chea(verkomplizieren_1_1,verkomplizierung_1_1) )).++fof(fact_7251,axiom,(+ chea(verkosten_1_1,verkosten_2_1) )).++fof(fact_7252,axiom,(+ chea(verkosten_1_1,verkostung_1_1) )).++fof(fact_7253,axiom,(+ chea(verkraften_1_1,verkraftung_1_1) )).++fof(fact_7254,axiom,(+ chea(verkrallen_1_1,verkrallen_2_1) )).++fof(fact_7255,axiom,(+ chea(verkrallen_1_1,verkrallung_1_1) )).++fof(fact_7256,axiom,(+ chea(verkriechen_1_1,verkriechen_2_1) )).++fof(fact_7257,axiom,(+ chea(verkrusten_1_1,verkrustung_1_1) )).++fof(fact_7258,axiom,(+ chea(verkr__374mmen_1_1,verkr__374mmung_1_1) )).++fof(fact_7259,axiom,(+ chea(verk__344sen_1_1,verk__344sung_1_1) )).++fof(fact_7260,axiom,(+ chea(verk__366stigen_1_1,verk__366stigung_1_1) )).++fof(fact_7261,axiom,(+ chea(verk__374hlen_1_1,erk__344ltung_1_1) )).++fof(fact_7262,axiom,(+ chea(verk__374nden_1_1,verk__374nden_2_1) )).++fof(fact_7263,axiom,(+ chea(verk__374nden_1_1,verk__374ndigen_2_1) )).++fof(fact_7264,axiom,(+ chea(verk__374nden_1_1,verk__374ndigung__1_1) )).++fof(fact_7265,axiom,(+ chea(verk__374nden_1_1,verk__374ndung_1_1) )).++fof(fact_7266,axiom,(+ chea(verk__374rzen_1_1,verk__374rzung_1_2) )).++fof(fact_7267,axiom,(+ chea(verk__374rzen_1_2,verk__374rzung_1_1) )).++fof(fact_7268,axiom,(+ chea(verladen_1_2,verladung_1_2) )).++fof(fact_7269,axiom,(+ chea(verlagern_1_1,umschichtung_1_1) )).++fof(fact_7270,axiom,(+ chea(verlangsamen_1_1,verlangsamung_1_1) )).++fof(fact_7271,axiom,(+ chea(verlausen_1_1,verlausung_1_1) )).++fof(fact_7272,axiom,(+ chea(verlegen_1_2,aufschub_1_1) )).++fof(fact_7273,axiom,(+ chea(verleihen_1_1,verleihung_1_1) )).++fof(fact_7274,axiom,(+ chea(verleimen_1_1,verleimen_2_1) )).++fof(fact_7275,axiom,(+ chea(verleimen_1_1,verleimung_1_1) )).++fof(fact_7276,axiom,(+ chea(verlernen_1_1,verlernen_2_1) )).++fof(fact_7277,axiom,(+ chea(verlesen_1_2,verlesung_1_1) )).++fof(fact_7278,axiom,(+ chea(verletzen_1_2,verletzung_1_1) )).++fof(fact_7279,axiom,(+ chea(verleugnen_1_1,verleugnen_2_1) )).++fof(fact_7280,axiom,(+ chea(verleugnen_1_1,verleugnung_1_1) )).++fof(fact_7281,axiom,(+ chea(verleumden_1_1,verleumden_2_1) )).++fof(fact_7282,axiom,(+ chea(verleumden_1_1,verleumdung_1_1) )).++fof(fact_7283,axiom,(+ chea(verlieben_1_1,verlieben_2_1) )).++fof(fact_7284,axiom,(+ chea(verloben_1_1,verlobung_1_1) )).++fof(fact_7285,axiom,(+ chea(verloben_1_2,verlobung_1_2) )).++fof(fact_7286,axiom,(+ chea(verlocken_1_1,verlocken_2_1) )).++fof(fact_7287,axiom,(+ chea(verlocken_1_1,verlockung_1_1) )).++fof(fact_7288,axiom,(+ chea(verlorengehen_1_1,verlorengehen_2_1) )).++fof(fact_7289,axiom,(+ chea(verlosen_1_1,auslosung_1_1) )).++fof(fact_7290,axiom,(+ chea(verlosen_1_1,verlosen_2_1) )).++fof(fact_7291,axiom,(+ chea(verl__344ngern_1_1,verlaengerung_1_1) )).++fof(fact_7292,axiom,(+ chea(verl__366ten_1_1,verl__366ten_2_1) )).++fof(fact_7293,axiom,(+ chea(verl__366ten_1_1,verl__366tung_1_1) )).++fof(fact_7294,axiom,(+ chea(vermachen_1_1,n374bereignung_1_1) )).++fof(fact_7295,axiom,(+ chea(vermahnen_1_1,vermahnung_1_1) )).++fof(fact_7296,axiom,(+ chea(vermarkten_1_1,absatzf__366rderung_1_1) )).++fof(fact_7297,axiom,(+ chea(vermarkten_1_1,vermarkten_2_1) )).++fof(fact_7298,axiom,(+ chea(vermelden_1_1,vermeldung_1_1) )).++fof(fact_7299,axiom,(+ chea(vermieten_1_1,verleih_2_1) )).++fof(fact_7300,axiom,(+ chea(vermieten_1_1,vermieten_2_1) )).++fof(fact_7301,axiom,(+ chea(vermieten_1_1,verpachten_2_1) )).++fof(fact_7302,axiom,(+ chea(vermieten_1_1,verpachtung_1_1) )).++fof(fact_7303,axiom,(+ chea(verminen_1_1,verminen_2_1) )).++fof(fact_7304,axiom,(+ chea(verminen_1_1,verminung_1_1) )).++fof(fact_7305,axiom,(+ chea(vermissen_1_1,vermissen_2_1) )).++fof(fact_7306,axiom,(+ chea(vermissen_1_1,vermissung_1_1) )).++fof(fact_7307,axiom,(+ chea(vermitteln_1_1,vermittlung_1_3) )).++fof(fact_7308,axiom,(+ chea(vermitteln_1_2,vermittlung_1_2) )).++fof(fact_7309,axiom,(+ chea(vermummen_1_1,vermummen_2_1) )).++fof(fact_7310,axiom,(+ chea(vermummen_1_1,vermummung_1_1) )).++fof(fact_7311,axiom,(+ chea(vernachl__344ssigen_1_1,vernachl__344ssigen_2_1) )).++fof(fact_7312,axiom,(+ chea(vernachl__344ssigen_1_1,vernachl__344ssigung_1_1) )).++fof(fact_7313,axiom,(+ chea(vernageln_1_1,vernageln_2_1) )).++fof(fact_7314,axiom,(+ chea(vernarben_1_1,vernarbung_1_1) )).++fof(fact_7315,axiom,(+ chea(vernaschen_1_1,vernaschen_2_1) )).++fof(fact_7316,axiom,(+ chea(vernebeln_1_1,nebel__1_1) )).++fof(fact_7317,axiom,(+ chea(vernebeln_1_1,vernebeln_2_1) )).++fof(fact_7318,axiom,(+ chea(vernetzen_1_1,aneinanderreihung_1_1) )).++fof(fact_7319,axiom,(+ chea(vernetzen_1_1,vernetzen_2_1) )).++fof(fact_7320,axiom,(+ chea(vernichten_1_1,ausl__366schung_1_1) )).++fof(fact_7321,axiom,(+ chea(vernickeln_1_1,vernickeln_2_1) )).++fof(fact_7322,axiom,(+ chea(verniedlichen_1_1,verniedlichung_1_1) )).++fof(fact_7323,axiom,(+ chea(vernuten_1_1,vernutung_1_1) )).++fof(fact_7324,axiom,(+ chea(vern__344hen_1_1,vern__344hen_2_1) )).++fof(fact_7325,axiom,(+ chea(vern__344hen_1_1,vern__344hung_1_1) )).++fof(fact_7326,axiom,(+ chea(verordnen_1_1,verfuegung_1_1) )).++fof(fact_7327,axiom,(+ chea(verordnen_1_1,verordnen_2_1) )).++fof(fact_7328,axiom,(+ chea(verorten_1_1,lokalisierung_1_1) )).++fof(fact_7329,axiom,(+ chea(verpaaren_1_1,verpaaren_2_1) )).++fof(fact_7330,axiom,(+ chea(verpaaren_1_1,verpaarung_1_1) )).++fof(fact_7331,axiom,(+ chea(verpassen_1_1,vers__344umen_2_1) )).++fof(fact_7332,axiom,(+ chea(verpassen_1_1,vers__344umung_1_1) )).++fof(fact_7333,axiom,(+ chea(verpesten_1_1,verpestung_1_1) )).++fof(fact_7334,axiom,(+ chea(verpetzen_1_1,verpetzen_2_1) )).++fof(fact_7335,axiom,(+ chea(verpflanzen_1_1,verpflanzung_1_1) )).++fof(fact_7336,axiom,(+ chea(verpflegen_1_1,ern__344hrung_1_1) )).++fof(fact_7337,axiom,(+ chea(verpf__344nden_1_1,unterpfand_1_1) )).++fof(fact_7338,axiom,(+ chea(verpf__344nden_1_1,versetzung_1_2) )).++fof(fact_7339,axiom,(+ chea(verplatten_1_1,verplattung_1_1) )).++fof(fact_7340,axiom,(+ chea(verprellen_1_1,verprellen_2_1) )).++fof(fact_7341,axiom,(+ chea(verprellen_1_1,verprellung_1_1) )).++fof(fact_7342,axiom,(+ chea(verproviantieren_1_1,verproviantierung_1_1) )).++fof(fact_7343,axiom,(+ chea(verpuffen_1_1,verpuffen_2_1) )).++fof(fact_7344,axiom,(+ chea(verpuffen_1_1,verpuffung_1_1) )).++fof(fact_7345,axiom,(+ chea(verpulvern_1_1,verspielen_2_1) )).++fof(fact_7346,axiom,(+ chea(verpuppen_1_1,verpuppen_2_1) )).++fof(fact_7347,axiom,(+ chea(verpuppen_1_1,verpuppung_1_1) )).++fof(fact_7348,axiom,(+ chea(verp__366nen_1_1,verp__366nung_1_1) )).++fof(fact_7349,axiom,(+ chea(verqualmen_1_1,verqualmung_1_1) )).++fof(fact_7350,axiom,(+ chea(verquellen_1_1,verquellung_1_1) )).++fof(fact_7351,axiom,(+ chea(verquicken_1_1,verflochtenheit_1_1) )).++fof(fact_7352,axiom,(+ chea(verquirlen_1_1,verr__374hren_2_1) )).++fof(fact_7353,axiom,(+ chea(verramschen_1_1,verramschen_2_1) )).++fof(fact_7354,axiom,(+ chea(verramschen_1_1,verramschung_1_1) )).++fof(fact_7355,axiom,(+ chea(verraten_1_1,denunziation_1_1) )).++fof(fact_7356,axiom,(+ chea(verrauschen_1_1,verrauschen_2_1) )).++fof(fact_7357,axiom,(+ chea(verrechnen_1_2,verrechnung_1_1) )).++fof(fact_7358,axiom,(+ chea(verrechtlichen_1_1,verrechtlichung_1_1) )).++fof(fact_7359,axiom,(+ chea(verrecken_1_1,verrecken_2_1) )).++fof(fact_7360,axiom,(+ chea(verregnen_1_1,verregnung_1_1) )).++fof(fact_7361,axiom,(+ chea(verreiben_1_1,verreiben_2_1) )).++fof(fact_7362,axiom,(+ chea(verreiben_1_1,verreibung_1_1) )).++fof(fact_7363,axiom,(+ chea(verreisen_1_1,verreisen_2_1) )).++fof(fact_7364,axiom,(+ chea(verrei__337en_1_1,verrei__337en_2_1) )).++fof(fact_7365,axiom,(+ chea(verrichten_1_1,verrichtung_1_1) )).++fof(fact_7366,axiom,(+ chea(verringern_1_1,reduktion_1_1) )).++fof(fact_7367,axiom,(+ chea(verrohen_1_1,unkultur_1_1) )).++fof(fact_7368,axiom,(+ chea(verrohen_1_1,verrohen_2_1) )).++fof(fact_7369,axiom,(+ chea(verrohren_1_1,verrohrung_1_1) )).++fof(fact_7370,axiom,(+ chea(verrotten_1_1,verrotten_2_1) )).++fof(fact_7371,axiom,(+ chea(verrotten_1_1,verrottung_1_1) )).++fof(fact_7372,axiom,(+ chea(verrutschen_1_1,verrutschen_2_1) )).++fof(fact_7373,axiom,(+ chea(verru__337en_1_1,verru__337ung_1_1) )).++fof(fact_7374,axiom,(+ chea(verr__374cken_1_1,verr__374cken_2_1) )).++fof(fact_7375,axiom,(+ chea(verr__374cken_1_1,verr__374ckung_1_1) )).++fof(fact_7376,axiom,(+ chea(versagen_2_1,abweisung_1_1) )).++fof(fact_7377,axiom,(+ chea(versalzen_1_1,versalzung_1_1) )).++fof(fact_7378,axiom,(+ chea(versammeln_1_1,versammlung_1_1) )).++fof(fact_7379,axiom,(+ chea(versanden_1_1,versandung_1_1) )).++fof(fact_7380,axiom,(+ chea(verschachteln_1_1,verschachteln_2_1) )).++fof(fact_7381,axiom,(+ chea(verschalen_1_1,ummantelung_1_1) )).++fof(fact_7382,axiom,(+ chea(verschanzen_1_1,verschanzen_2_1) )).++fof(fact_7383,axiom,(+ chea(verschanzen_1_1,verschanzung_1_1) )).++fof(fact_7384,axiom,(+ chea(verscharren_1_1,verscharren_2_1) )).++fof(fact_7385,axiom,(+ chea(verscharren_1_1,verscharrung_1_1) )).++fof(fact_7386,axiom,(+ chea(verschenken_1_1,verschenken_2_1) )).++fof(fact_7387,axiom,(+ chea(verschenken_1_1,verschenkung_1_1) )).++fof(fact_7388,axiom,(+ chea(verscherzen_1_1,verwirkung_1_1) )).++fof(fact_7389,axiom,(+ chea(verschicken_1_1,verschicken_2_1) )).++fof(fact_7390,axiom,(+ chea(verschicken_1_1,verschickung_1_1) )).++fof(fact_7391,axiom,(+ chea(verschicken_1_1,versenden_2_1) )).++fof(fact_7392,axiom,(+ chea(verschicken_1_1,versendung_1_1) )).++fof(fact_7393,axiom,(+ chea(verschieben_1_1,verschiebung_1_2) )).++fof(fact_7394,axiom,(+ chea(verschie__337en_1_1,verschie__337en_2_1) )).++fof(fact_7395,axiom,(+ chea(verschiffen_1_1,verschiffen_2_1) )).++fof(fact_7396,axiom,(+ chea(verschiffen_1_1,verschiffung_1_1) )).++fof(fact_7397,axiom,(+ chea(verschilfen_1_1,verschilfung_1_1) )).++fof(fact_7398,axiom,(+ chea(verschlacken_1_1,verschlacken_2_1) )).++fof(fact_7399,axiom,(+ chea(verschlacken_1_1,verschlackung_1_1) )).++fof(fact_7400,axiom,(+ chea(verschlafen_1_1,verschlafen_2_1) )).++fof(fact_7401,axiom,(+ chea(verschlammen_1_1,verschlammen_2_1) )).++fof(fact_7402,axiom,(+ chea(verschlammen_1_1,verschlammung_1_1) )).++fof(fact_7403,axiom,(+ chea(verschlechtern_1_1,verschlechterung_1_2) )).++fof(fact_7404,axiom,(+ chea(verschlechtern_1_1,verschlimmerung_1_1) )).++fof(fact_7405,axiom,(+ chea(verschlechtern_1_2,verschlimmerung_1_2) )).++fof(fact_7406,axiom,(+ chea(verschleiern_1_1,verf__344lschung_1_1) )).++fof(fact_7407,axiom,(+ chea(verschleiern_1_1,verschleiern_2_1) )).++fof(fact_7408,axiom,(+ chea(verschleimen_1_1,verschleimung_1_1) )).++fof(fact_7409,axiom,(+ chea(verschlemmen_1_1,verschlemmen_2_1) )).++fof(fact_7410,axiom,(+ chea(verschleppen_1_1,entfuehrung_1_1) )).++fof(fact_7411,axiom,(+ chea(verschlie__337en_1_2,verwerfen_2_1) )).++fof(fact_7412,axiom,(+ chea(verschlie__337en_1_2,verwerfung_1_1) )).++fof(fact_7413,axiom,(+ chea(verschl__344mmen_1_1,verschl__344mmung_1_1) )).++fof(fact_7414,axiom,(+ chea(verschmachten_1_1,verschmachten_2_1) )).++fof(fact_7415,axiom,(+ chea(verschmelzen_1_1,verschmelzung_1_1) )).++fof(fact_7416,axiom,(+ chea(verschmelzen_1_2,verschmelzung_1_2) )).++fof(fact_7417,axiom,(+ chea(verschmelzen_2_1,verschmelzung_1_3) )).++fof(fact_7418,axiom,(+ chea(verschmelzen_2_2,verschmelzung_1_4) )).++fof(fact_7419,axiom,(+ chea(verschmieren_1_1,verschmieren_2_1) )).++fof(fact_7420,axiom,(+ chea(verschmutzen_2_1,verschmutzung_1_2) )).++fof(fact_7421,axiom,(+ chea(verschm__344hen_1_1,verschm__344hen_2_1) )).++fof(fact_7422,axiom,(+ chea(verschm__344hen_1_1,verschm__344hung_1_1) )).++fof(fact_7423,axiom,(+ chea(verschnupfen_1_1,verschnupfung_1_1) )).++fof(fact_7424,axiom,(+ chea(verschn__374ren_1_1,verschn__374ren_2_1) )).++fof(fact_7425,axiom,(+ chea(verschn__374ren_1_1,verschn__374rung_1_1) )).++fof(fact_7426,axiom,(+ chea(verschorfen_1_1,verschorfung_1_1) )).++fof(fact_7427,axiom,(+ chea(verschrauben_1_1,verschrauben_2_1) )).++fof(fact_7428,axiom,(+ chea(verschrauben_1_1,verschraubung_1_1) )).++fof(fact_7429,axiom,(+ chea(verschrecken_1_1,verschrecken_2_1) )).++fof(fact_7430,axiom,(+ chea(verschrecken_1_1,verschreckung_1_1) )).++fof(fact_7431,axiom,(+ chea(verschreiben_1_3,verschreibung_1_1) )).++fof(fact_7432,axiom,(+ chea(verschrotten_1_1,verschrotten_2_1) )).++fof(fact_7433,axiom,(+ chea(verschrotten_1_1,verschrottung_1_1) )).++fof(fact_7434,axiom,(+ chea(verschr__344nken_1_1,verschr__344nken_2_1) )).++fof(fact_7435,axiom,(+ chea(verschr__344nken_1_1,verschr__344nkung_1_1) )).++fof(fact_7436,axiom,(+ chea(verschwei__337en_1_1,verschwei__337en_2_1) )).++fof(fact_7437,axiom,(+ chea(verschwei__337en_1_1,verschwei__337ung_1_1) )).++fof(fact_7438,axiom,(+ chea(verschwimmen_1_1,verschwimmen_2_1) )).++fof(fact_7439,axiom,(+ chea(verschwimmen_1_1,verschwimmung_1_1) )).++fof(fact_7440,axiom,(+ chea(verschw__366ren_1_1,intrige_1_1) )).++fof(fact_7441,axiom,(+ chea(verschw__366ren_1_1,verschw__366ren_2_1) )).++fof(fact_7442,axiom,(+ chea(versch__344rfen_1_1,versch__344rfen_2_1) )).++fof(fact_7443,axiom,(+ chea(versch__344rfen_1_1,versch__344rfung_1_1) )).++fof(fact_7444,axiom,(+ chea(versch__366nen_1_1,versch__366nung_1_1) )).++fof(fact_7445,axiom,(+ chea(versch__374tten_1_2,versch__374ttung_1_2) )).++fof(fact_7446,axiom,(+ chea(versehren_1_1,versehrung_1_1) )).++fof(fact_7447,axiom,(+ chea(verselbstst__344ndigen_1_1,verselbstst__344ndigung_1_1) )).++fof(fact_7448,axiom,(+ chea(versengen_1_1,versengung_1_1) )).++fof(fact_7449,axiom,(+ chea(versenken_1_1,kontemplation_1_1) )).++fof(fact_7450,axiom,(+ chea(versenken_1_1,versenken_2_1) )).++fof(fact_7451,axiom,(+ chea(versetzen_1_1,verlegung_1_1) )).++fof(fact_7452,axiom,(+ chea(verseuchen_1_1,verseuchung_1_1) )).++fof(fact_7453,axiom,(+ chea(versichern_1_1,versicherung_1_3) )).++fof(fact_7454,axiom,(+ chea(versiegen_1_1,versiegen_2_1) )).++fof(fact_7455,axiom,(+ chea(versifizieren_1_1,versifizierung_1_1) )).++fof(fact_7456,axiom,(+ chea(versinnlichen_1_1,versinnlichung_1_1) )).++fof(fact_7457,axiom,(+ chea(versorgen_1_1,versorgen_2_1) )).++fof(fact_7458,axiom,(+ chea(versorgen_1_1,versorgung_1_1) )).++fof(fact_7459,axiom,(+ chea(verspinnen_1_1,verspinnen_2_1) )).++fof(fact_7460,axiom,(+ chea(verspinnen_1_1,verspinnung_1_1) )).++fof(fact_7461,axiom,(+ chea(versprechen_1_1,zusicherung_1_1) )).++fof(fact_7462,axiom,(+ chea(versprechen_2_1,versprechen_1_1) )).++fof(fact_7463,axiom,(+ chea(versprengen_1_1,versprengen_2_1) )).++fof(fact_7464,axiom,(+ chea(versprengen_1_1,versprengung_1_1) )).++fof(fact_7465,axiom,(+ chea(verspritzen_1_1,verspritzen_2_1) )).++fof(fact_7466,axiom,(+ chea(verspr__374hen_1_1,verspr__374hen_2_1) )).++fof(fact_7467,axiom,(+ chea(verspr__374hen_1_1,verspr__374hung_1_1) )).++fof(fact_7468,axiom,(+ chea(versp__344ten_1_1,versp__344tung_1_1) )).++fof(fact_7469,axiom,(+ chea(versp__374ren_1_1,versp__374ren_2_1) )).++fof(fact_7470,axiom,(+ chea(verstauben_1_1,verstaubung_1_1) )).++fof(fact_7471,axiom,(+ chea(verstauchen_1_1,verstauchung_1_1) )).++fof(fact_7472,axiom,(+ chea(verstecken_1_1,verstecken_2_1) )).++fof(fact_7473,axiom,(+ chea(versteifen_1_1,versteifen_2_1) )).++fof(fact_7474,axiom,(+ chea(versteifen_1_1,versteifung_1_1) )).++fof(fact_7475,axiom,(+ chea(verstellen_1_1,verstellen_2_1) )).++fof(fact_7476,axiom,(+ chea(verstellen_1_1,verstellung_1_1) )).++fof(fact_7477,axiom,(+ chea(verstetigen_1_1,verstetigung_1_1) )).++fof(fact_7478,axiom,(+ chea(verstetigen_1_2,verstetigung_1_1) )).++fof(fact_7479,axiom,(+ chea(versteuern_1_1,versteuerung_1_1) )).++fof(fact_7480,axiom,(+ chea(verstockt_1_1,verstockt_3_1) )).++fof(fact_7481,axiom,(+ chea(verstopfen_1_2,verstopfung_1_2) )).++fof(fact_7482,axiom,(+ chea(versto__337en_1_1,versto__337ung_1_1) )).++fof(fact_7483,axiom,(+ chea(versto__337en_1_2,versto__337ung_1_2) )).++fof(fact_7484,axiom,(+ chea(verstreuen_1_1,verstreuen_2_1) )).++fof(fact_7485,axiom,(+ chea(verstreuen_1_1,verstreuung_1_1) )).++fof(fact_7486,axiom,(+ chea(verstricken_1_1,verstrickung_1_1) )).++fof(fact_7487,axiom,(+ chea(verstricken_1_2,verstrickung_1_2) )).++fof(fact_7488,axiom,(+ chea(verstr__366men_1_1,verstr__366men_2_1) )).++fof(fact_7489,axiom,(+ chea(verst__344hlen_1_1,verst__344hlen_2_1) )).++fof(fact_7490,axiom,(+ chea(verst__344hlen_1_1,verst__344hlung_1_1) )).++fof(fact_7491,axiom,(+ chea(verst__344rken_1_1,verst__344rken_2_1) )).++fof(fact_7492,axiom,(+ chea(verst__344rken_1_1,verst__344rkung_1_1) )).++fof(fact_7493,axiom,(+ chea(verst__366ren_1_1,verst__366rung_1_1) )).++fof(fact_7494,axiom,(+ chea(verst__374mmeln_1_1,verst__374mmeln_2_1) )).++fof(fact_7495,axiom,(+ chea(verst__374mmeln_1_1,verst__374mmelung_1_1) )).++fof(fact_7496,axiom,(+ chea(verst__374mmeln_1_1,zerfleischen_2_1) )).++fof(fact_7497,axiom,(+ chea(verst__374mmeln_1_1,zerfleischung_1_1) )).++fof(fact_7498,axiom,(+ chea(versumpfen_1_1,versumpfen_2_1) )).++fof(fact_7499,axiom,(+ chea(versumpfen_1_1,versumpfung_1_1) )).++fof(fact_7500,axiom,(+ chea(vers__366hnen_1_2,vers__366hnung_1_2) )).++fof(fact_7501,axiom,(+ chea(vers__366hnen_1_3,vers__366hnung_1_3) )).++fof(fact_7502,axiom,(+ chea(vers__374ndigen_1_1,vers__374ndigung_1_1) )).++fof(fact_7503,axiom,(+ chea(vers__374__337en_1_1,vers__374__337en_2_1) )).++fof(fact_7504,axiom,(+ chea(vertagen_1_1,vertagen_2_1) )).++fof(fact_7505,axiom,(+ chea(vertagen_1_1,vertagung_1_1) )).++fof(fact_7506,axiom,(+ chea(vertauschen_1_1,permutation_1_1) )).++fof(fact_7507,axiom,(+ chea(vertauschen_1_1,vertauschen_2_1) )).++fof(fact_7508,axiom,(+ chea(vertauschen_1_1,verwechslung_1_2) )).++fof(fact_7509,axiom,(+ chea(verteilen_1_1,aufteilung_1_1) )).++fof(fact_7510,axiom,(+ chea(verteilen_1_1,verteilen_2_1) )).++fof(fact_7511,axiom,(+ chea(verteuern_1_1,teuerung_1_1) )).++fof(fact_7512,axiom,(+ chea(verteuern_1_1,verteuerung_1_2) )).++fof(fact_7513,axiom,(+ chea(vertiefen_1_1,vertiefen_2_1) )).++fof(fact_7514,axiom,(+ chea(vertiefen_1_1,vertiefung_1_1) )).++fof(fact_7515,axiom,(+ chea(vertonen_1_1,vertonen_2_1) )).++fof(fact_7516,axiom,(+ chea(vertonen_1_1,vertonung_1_1) )).++fof(fact_7517,axiom,(+ chea(vertorfen_1_1,vertorfung_1_1) )).++fof(fact_7518,axiom,(+ chea(vertreten_1_1,vertreten_2_1) )).++fof(fact_7519,axiom,(+ chea(vertrusten_1_1,vertrustung_1_1) )).++fof(fact_7520,axiom,(+ chea(vertr__366deln_1_1,vertr__366deln_2_1) )).++fof(fact_7521,axiom,(+ chea(vertr__366sten_1_1,vertr__366sten_2_1) )).++fof(fact_7522,axiom,(+ chea(vertr__366sten_1_1,vertr__366stung_1_1) )).++fof(fact_7523,axiom,(+ chea(vertun_1_1,vertun_2_1) )).++fof(fact_7524,axiom,(+ chea(vert__344uen_1_1,vert__344uung_1_1) )).++fof(fact_7525,axiom,(+ chea(verulken_1_1,verulkung_1_1) )).++fof(fact_7526,axiom,(+ chea(verunfallen_1_1,verungl__374cken_2_1) )).++fof(fact_7527,axiom,(+ chea(verunsichern_1_1,verunsicherung_1_1) )).++fof(fact_7528,axiom,(+ chea(verunstalten_1_1,verschandelung_1_1) )).++fof(fact_7529,axiom,(+ chea(verurteilen_1_1,verurteilung_1_1) )).++fof(fact_7530,axiom,(+ chea(vervielfachen_1_1,vervielfachung_1_1) )).++fof(fact_7531,axiom,(+ chea(vervielfachen_1_1,vervielf__344ltigen_2_1) )).++fof(fact_7532,axiom,(+ chea(vervielfachen_1_1,vervielf__344ltigung_1_1) )).++fof(fact_7533,axiom,(+ chea(vervierfachen_1_1,vervierfachung_1_1) )).++fof(fact_7534,axiom,(+ chea(verwachsen_1_1,adh__344sion_1_1) )).++fof(fact_7535,axiom,(+ chea(verwachsen_1_1,verwachsen_2_1) )).++fof(fact_7536,axiom,(+ chea(verwackeln_1_1,verwackeln_2_1) )).++fof(fact_7537,axiom,(+ chea(verwahren_1_1,verwahrung_1_1) )).++fof(fact_7538,axiom,(+ chea(verwahren_2_1,verwahrung_1_2) )).++fof(fact_7539,axiom,(+ chea(verwaisen_1_1,verwaisung_1_1) )).++fof(fact_7540,axiom,(+ chea(verwandeln_1_1,verwandlung_1_2) )).++fof(fact_7541,axiom,(+ chea(verwandeln_1_2,umwandlung_1_1) )).++fof(fact_7542,axiom,(+ chea(verwandeln_1_3,verwandlung_1_3) )).++fof(fact_7543,axiom,(+ chea(verwandeln_1_4,verwandlung_1_4) )).++fof(fact_7544,axiom,(+ chea(verweben_1_1,verweben_2_1) )).++fof(fact_7545,axiom,(+ chea(verweben_1_1,verwebung_1_1) )).++fof(fact_7546,axiom,(+ chea(verwechseln_1_1,verwechslung_1_1) )).++fof(fact_7547,axiom,(+ chea(verwehen_1_1,verwehen_2_1) )).++fof(fact_7548,axiom,(+ chea(verwehen_1_1,verwehung_1_1) )).++fof(fact_7549,axiom,(+ chea(verwehren_1_1,verwehrung_1_1) )).++fof(fact_7550,axiom,(+ chea(verweichlichen_1_1,verweichlichung_1_1) )).++fof(fact_7551,axiom,(+ chea(verweilen_1_1,verweilen_2_1) )).++fof(fact_7552,axiom,(+ chea(verweisen_1_2,verweisung_1_2) )).++fof(fact_7553,axiom,(+ chea(verwenden_1_1,verwendung_1_1) )).++fof(fact_7554,axiom,(+ chea(verwenden_1_2,verwendung_1_2) )).++fof(fact_7555,axiom,(+ chea(verwerten_1_1,verwerten_2_1) )).++fof(fact_7556,axiom,(+ chea(verwerten_1_1,verwertung_1_1) )).++fof(fact_7557,axiom,(+ chea(verwesen_1_1,f__344ulnis_1_1) )).++fof(fact_7558,axiom,(+ chea(verwesen_1_1,verwesen_2_1) )).++fof(fact_7559,axiom,(+ chea(verwestlichen_1_1,verwestlichung_1_1) )).++fof(fact_7560,axiom,(+ chea(verwickeln_1_1,verwicklung_1_2) )).++fof(fact_7561,axiom,(+ chea(verwickeln_1_2,verwicklung_1_1) )).++fof(fact_7562,axiom,(+ chea(verwinden_1_1,verwinden_2_1) )).++fof(fact_7563,axiom,(+ chea(verwinden_1_1,verwindung_1_1) )).++fof(fact_7564,axiom,(+ chea(verwirklichen_1_1,durchf__374hrung_1_1) )).++fof(fact_7565,axiom,(+ chea(verwirklichen_1_2,verwirklichung_1_2) )).++fof(fact_7566,axiom,(+ chea(verwischen_1_1,verwischen_2_1) )).++fof(fact_7567,axiom,(+ chea(verwischen_1_1,verwischung_1_1) )).++fof(fact_7568,axiom,(+ chea(verwitwen_1_1,verwitwung_1_1) )).++fof(fact_7569,axiom,(+ chea(verwundern_1_1,erstaunen_2_1) )).++fof(fact_7570,axiom,(+ chea(verwurzeln_1_1,verwurzeln_2_1) )).++fof(fact_7571,axiom,(+ chea(verw__344ssern_1_1,verw__344sserung_1_1) )).++fof(fact_7572,axiom,(+ chea(verw__374nschen_1_1,fluch_1_1) )).++fof(fact_7573,axiom,(+ chea(verzagen_1_1,verzagen_2_1) )).++fof(fact_7574,axiom,(+ chea(verzagen_1_1,verzweifeln_2_1) )).++fof(fact_7575,axiom,(+ chea(verzahnen_1_1,verzahnen_2_1) )).++fof(fact_7576,axiom,(+ chea(verzahnen_1_1,verzahnung_1_1) )).++fof(fact_7577,axiom,(+ chea(verzeichnen_1_1,verzeichnen_2_1) )).++fof(fact_7578,axiom,(+ chea(verzeichnen_1_1,verzeichnung_1_1) )).++fof(fact_7579,axiom,(+ chea(verzerren_1_1,verzerrung_1_1) )).++fof(fact_7580,axiom,(+ chea(verzerren_1_2,verzerrung_1_2) )).++fof(fact_7581,axiom,(+ chea(verzetteln_1_1,verzetteln_2_1) )).++fof(fact_7582,axiom,(+ chea(verzichten_1_1,verzichten_2_1) )).++fof(fact_7583,axiom,(+ chea(verzieren_1_1,ornament_1_1) )).++fof(fact_7584,axiom,(+ chea(verzieren_1_1,verzieren_2_1) )).++fof(fact_7585,axiom,(+ chea(verzinken_1_1,verzinken_2_1) )).++fof(fact_7586,axiom,(+ chea(verzinken_1_1,verzinkung_1_1) )).++fof(fact_7587,axiom,(+ chea(verzinsen_1_1,verzinsen_2_1) )).++fof(fact_7588,axiom,(+ chea(verzinsen_1_1,verzinsung_1_1) )).++fof(fact_7589,axiom,(+ chea(verzollen_1_1,verzollen_2_1) )).++fof(fact_7590,axiom,(+ chea(verzollen_1_1,verzollung_1_1) )).++fof(fact_7591,axiom,(+ chea(verzwirnen_1_1,verzwirnung_1_1) )).++fof(fact_7592,axiom,(+ chea(verz__344hlen_1_1,verz__344hlen_2_1) )).++fof(fact_7593,axiom,(+ chea(verz__366gern_1_2,verz__366gerung_1_2) )).++fof(fact_7594,axiom,(+ chea(verz__374cken_1_1,entr__374cktheit_1_1) )).++fof(fact_7595,axiom,(+ chea(verz__374cken_1_1,verz__374cken_2_1) )).++fof(fact_7596,axiom,(+ chea(ver__344ndern_1_1,ver__344nderung_1_1) )).++fof(fact_7597,axiom,(+ chea(ver__344ndern_1_2,ver__344nderung_1_2) )).++fof(fact_7598,axiom,(+ chea(ver__344u__337erlichen_1_1,ver__344u__337erlichung_1_1) )).++fof(fact_7599,axiom,(+ chea(ver__344u__337ern_1_1,ver__344usserung_1_1) )).++fof(fact_7600,axiom,(+ chea(ver__366den_1_1,ver__366den_2_1) )).++fof(fact_7601,axiom,(+ chea(ver__366den_1_1,ver__366dung_1_1) )).++fof(fact_7602,axiom,(+ chea(ver__374ben_1_1,begehung_1_1) )).++fof(fact_7603,axiom,(+ chea(vexieren_1_1,vexation_1_1) )).++fof(fact_7604,axiom,(+ chea(vexieren_1_1,vexieren_2_1) )).++fof(fact_7605,axiom,(+ chea(vibrieren_1_1,ger__374ttel_1_1) )).++fof(fact_7606,axiom,(+ chea(vibrieren_1_1,vibrieren_2_1) )).++fof(fact_7607,axiom,(+ chea(vierteilen_1_1,vierteilen_2_1) )).++fof(fact_7608,axiom,(+ chea(viktimisieren_1_1,viktimisierung_1_1) )).++fof(fact_7609,axiom,(+ chea(vinkulieren_1_1,vinkulation_1_1) )).++fof(fact_7610,axiom,(+ chea(vinkulieren_1_1,vinkulierung_1_1) )).++fof(fact_7611,axiom,(+ chea(virtualisieren_1_1,virtualisierung_1_1) )).++fof(fact_7612,axiom,(+ chea(visieren_1_1,visieren_2_1) )).++fof(fact_7613,axiom,(+ chea(visieren_1_1,visierung_1_1) )).++fof(fact_7614,axiom,(+ chea(vitalisieren_1_1,vitalisierung_1_1) )).++fof(fact_7615,axiom,(+ chea(vokalisieren_1_1,vokalisation_1_1) )).++fof(fact_7616,axiom,(+ chea(vokalisieren_1_1,vokalisierung_1_1) )).++fof(fact_7617,axiom,(+ chea(vollbringen_1_1,bew__344ltigen_2_1) )).++fof(fact_7618,axiom,(+ chea(vollbringen_1_1,vollbringen_2_1) )).++fof(fact_7619,axiom,(+ chea(vollenden_1_1,vollendung_1_1) )).++fof(fact_7620,axiom,(+ chea(vollf__374hren_1_1,vollf__374hren_2_1) )).++fof(fact_7621,axiom,(+ chea(vollpacken_1_1,vollpackung_1_1) )).++fof(fact_7622,axiom,(+ chea(vollschmieren_1_1,vollschmierung_1_1) )).++fof(fact_7623,axiom,(+ chea(vollstrecken_1_1,vollstreckung_1_1) )).++fof(fact_7624,axiom,(+ chea(volltanken_1_1,volltanken_2_1) )).++fof(fact_7625,axiom,(+ chea(vollziehen_1_1,vollziehung_1_1) )).++fof(fact_7626,axiom,(+ chea(vollziehen_1_1,vollzug_1_1) )).++fof(fact_7627,axiom,(+ chea(vollziehen_1_2,vollziehung_1_2) )).++fof(fact_7628,axiom,(+ chea(voranbringen_1_1,voranbringen_2_1) )).++fof(fact_7629,axiom,(+ chea(voranmelden_1_1,voranmeldung_1_1) )).++fof(fact_7630,axiom,(+ chea(voranstellen_1_1,au__337enposten_1_1) )).++fof(fact_7631,axiom,(+ chea(voranstellen_1_1,voranstellen_2_1) )).++fof(fact_7632,axiom,(+ chea(vorarbeiten_1_1,vorarbeiten_2_1) )).++fof(fact_7633,axiom,(+ chea(vorausbedingen_1_1,vorausbedingung_1_1) )).++fof(fact_7634,axiom,(+ chea(vorausberechnen_1_1,vorausberechnung_1_1) )).++fof(fact_7635,axiom,(+ chea(vorausbezahlen_1_1,vorausbezahlung_1_1) )).++fof(fact_7636,axiom,(+ chea(vorausfahren_1_1,vorausfahren_2_1) )).++fof(fact_7637,axiom,(+ chea(voraussagen_1_1,prophezeiung_1_1) )).++fof(fact_7638,axiom,(+ chea(voraussagen_1_1,voraussagen_2_1) )).++fof(fact_7639,axiom,(+ chea(voraussagen_1_1,voraussagung_1_1) )).++fof(fact_7640,axiom,(+ chea(voraussagen_1_1,weissagen_2_1) )).++fof(fact_7641,axiom,(+ chea(vorausschauen_1_1,vorausschauen_2_1) )).++fof(fact_7642,axiom,(+ chea(voraussehen_1_1,voraussicht_1_1) )).++fof(fact_7643,axiom,(+ chea(voraussetzen_1_1,voraussetzung_1_2) )).++fof(fact_7644,axiom,(+ chea(vorauswissen_1_1,vorauswissen_2_1) )).++fof(fact_7645,axiom,(+ chea(vorauszahlen_1_1,anzahlung_1_1) )).++fof(fact_7646,axiom,(+ chea(vorauszahlen_1_1,vorauszahlen_2_1) )).++fof(fact_7647,axiom,(+ chea(vorbehalten_1_1,vorbehalten_2_1) )).++fof(fact_7648,axiom,(+ chea(vorbehalten_1_1,vorbehaltung_1_1) )).++fof(fact_7649,axiom,(+ chea(vorbeifahren_1_1,vorbeifahren_2_1) )).++fof(fact_7650,axiom,(+ chea(vorbeifliegen_1_1,vorbeifliegen_2_1) )).++fof(fact_7651,axiom,(+ chea(vorbeif__374hren_1_1,vorbeif__374hren_2_1) )).++fof(fact_7652,axiom,(+ chea(vorbereiten_1_1,vorbereitung_1_2) )).++fof(fact_7653,axiom,(+ chea(vorbereiten_1_3,vorbereitung_1_3) )).++fof(fact_7654,axiom,(+ chea(vorbeten_1_1,vorbeten_2_1) )).++fof(fact_7655,axiom,(+ chea(vorbeugen_1_1,prophylaxe_1_1) )).++fof(fact_7656,axiom,(+ chea(vordatieren_1_1,vordatierung_1_1) )).++fof(fact_7657,axiom,(+ chea(vordringen_1_1,vordringen_2_1) )).++fof(fact_7658,axiom,(+ chea(vordr__344ngeln_1_1,vordr__344ngeln_2_1) )).++fof(fact_7659,axiom,(+ chea(vordr__344ngen_1_1,vordr__344ngen_2_1) )).++fof(fact_7660,axiom,(+ chea(vorenthalten_1_1,vorenthalten_2_1) )).++fof(fact_7661,axiom,(+ chea(vorenthalten_1_1,vorenthaltung_1_1) )).++fof(fact_7662,axiom,(+ chea(vorfahren_1_1,vorfahren_2_1) )).++fof(fact_7663,axiom,(+ chea(vorfallen_1_1,vorfallen_2_1) )).++fof(fact_7664,axiom,(+ chea(vorfertigen_1_1,vorfertigung_1_1) )).++fof(fact_7665,axiom,(+ chea(vorfinanzieren_1_1,vorfinanzierung_1_1) )).++fof(fact_7666,axiom,(+ chea(vorf__374hren_1_1,auff__374hrung_1_1) )).++fof(fact_7667,axiom,(+ chea(vorf__374hren_1_1,vorf__374hren_2_1) )).++fof(fact_7668,axiom,(+ chea(vorgeben_1_1,vorgeben_2_1) )).++fof(fact_7669,axiom,(+ chea(vorgreifen_1_1,vorgreifen_2_1) )).++fof(fact_7670,axiom,(+ chea(vorhalten_2_1,vorhaltung_1_1) )).++fof(fact_7671,axiom,(+ chea(vorheizen_1_1,vorheizen_2_1) )).++fof(fact_7672,axiom,(+ chea(vorheizen_1_1,vorw__344rmen_2_1) )).++fof(fact_7673,axiom,(+ chea(vorheizen_1_1,vorw__344rmung_1_1) )).++fof(fact_7674,axiom,(+ chea(vorherrschen_1_1,vorherrschen_2_1) )).++fof(fact_7675,axiom,(+ chea(vorhersehen_1_1,vorhersehung_1_1) )).++fof(fact_7676,axiom,(+ chea(vorkehren_1_1,vorbereitung_1_1) )).++fof(fact_7677,axiom,(+ chea(vorkehren_1_1,vorkehren_2_1) )).++fof(fact_7678,axiom,(+ chea(vorladen_1_1,einladung_1_1) )).++fof(fact_7679,axiom,(+ chea(vorlassen_1_1,vorlassung_1_1) )).++fof(fact_7680,axiom,(+ chea(vorlesen_1_1,vorlesen_2_1) )).++fof(fact_7681,axiom,(+ chea(vorlesen_1_1,vorlesung_1_1) )).++fof(fact_7682,axiom,(+ chea(vormerken_1_1,vorbestellung_1_1) )).++fof(fact_7683,axiom,(+ chea(vormerken_1_1,vormerken_2_1) )).++fof(fact_7684,axiom,(+ chea(vorneigen_1_1,vorneigen_2_1) )).++fof(fact_7685,axiom,(+ chea(vorneigen_1_1,vorneigung_1_1) )).++fof(fact_7686,axiom,(+ chea(vorpreschen_1_1,vorpreschen_2_1) )).++fof(fact_7687,axiom,(+ chea(vorquellen_1_1,vorquellen_2_1) )).++fof(fact_7688,axiom,(+ chea(vorrichten_1_1,vorrichten_2_1) )).++fof(fact_7689,axiom,(+ chea(vorrichten_1_1,vorrichtung_1_1) )).++fof(fact_7690,axiom,(+ chea(vorschalten_1_1,vorschalten_2_1) )).++fof(fact_7691,axiom,(+ chea(vorschalten_1_1,vorschaltung_1_1) )).++fof(fact_7692,axiom,(+ chea(vorschieben_1_2,vort__344uschen_2_1) )).++fof(fact_7693,axiom,(+ chea(vorschieben_1_2,vort__344uschung_1_1) )).++fof(fact_7694,axiom,(+ chea(vorschreiben_1_1,vorschreiben_2_1) )).++fof(fact_7695,axiom,(+ chea(vorschreiben_1_1,vorschreibung_1_1) )).++fof(fact_7696,axiom,(+ chea(vorsetzen_1_1,vorsetzen_2_1) )).++fof(fact_7697,axiom,(+ chea(vorsetzen_1_1,vorsetzung_1_1) )).++fof(fact_7698,axiom,(+ chea(vorsitzen_1_1,vorsitzen_2_1) )).++fof(fact_7699,axiom,(+ chea(vorsorgen_1_1,vorsorgung_1_1) )).++fof(fact_7700,axiom,(+ chea(vorspannen_1_1,vorspannen_2_1) )).++fof(fact_7701,axiom,(+ chea(vorspiegeln_1_1,vorspiegeln_2_1) )).++fof(fact_7702,axiom,(+ chea(vorspielen_1_1,vorspielen_2_1) )).++fof(fact_7703,axiom,(+ chea(vorspielen_1_1,vorspielung_1_1) )).++fof(fact_7704,axiom,(+ chea(vorspringen_1_1,vorspringen_2_1) )).++fof(fact_7705,axiom,(+ chea(vorstellen_1_1,auff__374hrung_1_1) )).++fof(fact_7706,axiom,(+ chea(vorstellen_1_2,vorstellung_1_3) )).++fof(fact_7707,axiom,(+ chea(vorstrecken_1_1,vorstrecken_2_1) )).++fof(fact_7708,axiom,(+ chea(vorstrecken_1_1,vorstreckung_1_1) )).++fof(fact_7709,axiom,(+ chea(vortanzen_1_1,vortanzen_2_1) )).++fof(fact_7710,axiom,(+ chea(vortragen_1_1,vortragen_2_1) )).++fof(fact_7711,axiom,(+ chea(vortragen_1_1,vortragung_1_1) )).++fof(fact_7712,axiom,(+ chea(vorverlegen_1_1,vorverlegen_2_1) )).++fof(fact_7713,axiom,(+ chea(vorwarnen_1_1,vorwarnen_2_1) )).++fof(fact_7714,axiom,(+ chea(vorwarnen_1_1,vorwarnung_1_1) )).++fof(fact_7715,axiom,(+ chea(vorweisen_1_1,vorweisung_1_1) )).++fof(fact_7716,axiom,(+ chea(vorweisen_1_2,vorweisung_1_2) )).++fof(fact_7717,axiom,(+ chea(vorwerfen_1_1,vorwerfen_2_1) )).++fof(fact_7718,axiom,(+ chea(vorw__344rtsgehen_1_1,vorw__344rtsgehen_2_1) )).++fof(fact_7719,axiom,(+ chea(vorw__344rtskommen_1_1,vorw__344rtskommen_2_1) )).++fof(fact_7720,axiom,(+ chea(vorw__366lben_1_1,vorw__366lbung_1_1) )).++fof(fact_7721,axiom,(+ chea(vorzeichnen_1_1,vorzeichnen_2_1) )).++fof(fact_7722,axiom,(+ chea(vorzeichnen_1_1,vorzeichnung_1_1) )).++fof(fact_7723,axiom,(+ chea(vorzeigen_1_1,vorzeigen_2_1) )).++fof(fact_7724,axiom,(+ chea(vorzeigen_1_1,vorzeigung_1_1) )).++fof(fact_7725,axiom,(+ chea(vor__374berziehen_1_1,vor__374berziehen_2_1) )).++fof(fact_7726,axiom,(+ chea(wachen_1_1,wachen_2_1) )).++fof(fact_7727,axiom,(+ chea(wachhalten_1_1,wachhalten_2_1) )).++fof(fact_7728,axiom,(+ chea(wachhalten_1_1,wachhaltung_1_1) )).++fof(fact_7729,axiom,(+ chea(wachrufen_1_1,wachrufen_2_1) )).++fof(fact_7730,axiom,(+ chea(wachr__374tteln_1_1,wachr__374tteln_2_1) )).++fof(fact_7731,axiom,(+ chea(wahren_1_1,erhaltung_1_1) )).++fof(fact_7732,axiom,(+ chea(wahren_1_1,wahren_2_1) )).++fof(fact_7733,axiom,(+ chea(wahrsagen_1_1,wahrsagen_2_1) )).++fof(fact_7734,axiom,(+ chea(wahrsagen_1_1,wahrsagung_1_1) )).++fof(fact_7735,axiom,(+ chea(wallen_1_1,fieberanfall_1_1) )).++fof(fact_7736,axiom,(+ chea(wallen_1_1,wallen_2_1) )).++fof(fact_7737,axiom,(+ chea(wallen_1_1,wogen_2_1) )).++fof(fact_7738,axiom,(+ chea(walten_1_1,walten_2_1) )).++fof(fact_7739,axiom,(+ chea(walzen_1_1,walzen_2_1) )).++fof(fact_7740,axiom,(+ chea(wandeln_1_1,wandel_1_1) )).++fof(fact_7741,axiom,(+ chea(wandeln_1_1,wandeln_2_1) )).++fof(fact_7742,axiom,(+ chea(wandern_1_1,wanderung_1_2) )).++fof(fact_7743,axiom,(+ chea(wandern_1_2,wanderung_1_1) )).++fof(fact_7744,axiom,(+ chea(wanzen_1_1,wanzen_2_1) )).++fof(fact_7745,axiom,(+ chea(warmhalten_1_1,warmhalten_2_1) )).++fof(fact_7746,axiom,(+ chea(warmhalten_1_1,warmhaltung_1_1) )).++fof(fact_7747,axiom,(+ chea(warmlaufen_1_1,warmlaufen_2_1) )).++fof(fact_7748,axiom,(+ chea(warnen_1_1,warnung_1_2) )).++fof(fact_7749,axiom,(+ chea(waschen_1_1,waschen_2_1) )).++fof(fact_7750,axiom,(+ chea(waschen_1_1,waschung_1_1) )).++fof(fact_7751,axiom,(+ chea(waten_1_1,waten_2_1) )).++fof(fact_7752,axiom,(+ chea(watscheln_1_1,watscheln_2_1) )).++fof(fact_7753,axiom,(+ chea(wattieren_1_1,wattierung_1_1) )).++fof(fact_7754,axiom,(+ chea(weben_1_1,weben_2_1) )).++fof(fact_7755,axiom,(+ chea(weben_1_1,webung_1_1) )).++fof(fact_7756,axiom,(+ chea(wechseln_1_1,wechselung_1_1) )).++fof(fact_7757,axiom,(+ chea(wechseln_1_1,wechslung_1_1) )).++fof(fact_7758,axiom,(+ chea(wedeln_1_1,wedeln_2_1) )).++fof(fact_7759,axiom,(+ chea(wegblasen_1_1,wegblasen_2_1) )).++fof(fact_7760,axiom,(+ chea(wegbringen_1_1,wegbringen_2_1) )).++fof(fact_7761,axiom,(+ chea(wegfallen_1_1,wegfall_1_1) )).++fof(fact_7762,axiom,(+ chea(wegfallen_1_1,wegfallen_2_1) )).++fof(fact_7763,axiom,(+ chea(wegfegen_1_1,wegfegen_2_1) )).++fof(fact_7764,axiom,(+ chea(wegfressen_1_1,wegfressen_2_1) )).++fof(fact_7765,axiom,(+ chea(weggeben_1_1,weggeben_2_1) )).++fof(fact_7766,axiom,(+ chea(weggucken_1_1,weggucken_2_1) )).++fof(fact_7767,axiom,(+ chea(wegh__366ren_1_1,wegh__366ren_2_1) )).++fof(fact_7768,axiom,(+ chea(wegkehren_1_1,wegkehren_2_1) )).++fof(fact_7769,axiom,(+ chea(weglegen_1_1,weglegen_2_1) )).++fof(fact_7770,axiom,(+ chea(wegrationalisieren_1_1,arbeitsplatzabbau_1_1) )).++fof(fact_7771,axiom,(+ chea(wegrationalisieren_1_1,wegrationalisieren_2_1) )).++fof(fact_7772,axiom,(+ chea(wegr__344umen_1_1,wegr__344umen_2_1) )).++fof(fact_7773,axiom,(+ chea(wegschaffen_1_1,beseitigung_1_1) )).++fof(fact_7774,axiom,(+ chea(wegschaffen_1_1,wegschaffen_2_1) )).++fof(fact_7775,axiom,(+ chea(wegschieben_1_1,wegschieben_3_1) )).++fof(fact_7776,axiom,(+ chea(wegschlie__337en_1_1,wegschlie__337en_2_1) )).++fof(fact_7777,axiom,(+ chea(wegschneiden_1_1,wegschneiden_2_1) )).++fof(fact_7778,axiom,(+ chea(wegsch__374tten_1_1,wegsch__374tten_2_1) )).++fof(fact_7779,axiom,(+ chea(wegstellen_1_1,wegstellen_2_1) )).++fof(fact_7780,axiom,(+ chea(wegsto__337en_1_1,wegsto__337en_2_1) )).++fof(fact_7781,axiom,(+ chea(wegtreten_1_1,wegtreten_2_1) )).++fof(fact_7782,axiom,(+ chea(wegwischen_1_1,wegwischen_2_1) )).++fof(fact_7783,axiom,(+ chea(wegziehen_1_1,wegziehen_2_1) )).++fof(fact_7784,axiom,(+ chea(wehen_1_1,wehen_2_1) )).++fof(fact_7785,axiom,(+ chea(wehklagen_1_1,jammer_1_1) )).++fof(fact_7786,axiom,(+ chea(wehren_1_1,wehren_2_1) )).++fof(fact_7787,axiom,(+ chea(wehtun_1_1,wehtun_2_1) )).++fof(fact_7788,axiom,(+ chea(weichmachen_1_1,weichmachen_2_1) )).++fof(fact_7789,axiom,(+ chea(weichmachen_1_1,weichmachung_1_1) )).++fof(fact_7790,axiom,(+ chea(weiden_1_1,weiden_2_1) )).++fof(fact_7791,axiom,(+ chea(weiden_1_1,weidung_1_1) )).++fof(fact_7792,axiom,(+ chea(weigern_1_1,r__374ckgliederung_1_1) )).++fof(fact_7793,axiom,(+ chea(weihen_1_1,weihung_1_1) )).++fof(fact_7794,axiom,(+ chea(weihen_1_2,weihung_1_2) )).++fof(fact_7795,axiom,(+ chea(weihnachten_2_1,weihnacht_1_1) )).++fof(fact_7796,axiom,(+ chea(weilen_1_1,weilen_2_1) )).++fof(fact_7797,axiom,(+ chea(weiten_1_1,ausdehnung_1_1) )).++fof(fact_7798,axiom,(+ chea(weiten_1_1,weiten_2_1) )).++fof(fact_7799,axiom,(+ chea(weiterarbeiten_1_1,weiterarbeiten_2_1) )).++fof(fact_7800,axiom,(+ chea(weiterarbeiten_1_1,weiterarbeitung_1_1) )).++fof(fact_7801,axiom,(+ chea(weiterbestehen_1_1,weiterbestehung_1_1) )).++fof(fact_7802,axiom,(+ chea(weiterempfehlen_1_1,weiterempfehlung_1_1) )).++fof(fact_7803,axiom,(+ chea(weiterentwickeln_1_1,weitentwicklung_1_1) )).++fof(fact_7804,axiom,(+ chea(weiterentwickeln_1_1,weiterentwickeln_2_1) )).++fof(fact_7805,axiom,(+ chea(weitererz__344hlen_1_1,weitererz__344hlen_2_1) )).++fof(fact_7806,axiom,(+ chea(weitererz__344hlen_1_1,weitererz__344hlung_1_1) )).++fof(fact_7807,axiom,(+ chea(weiterfliegen_1_1,weiterfliegen_2_1) )).++fof(fact_7808,axiom,(+ chea(weiterf__374hren_1_1,weiterf__374hren_2_1) )).++fof(fact_7809,axiom,(+ chea(weiterf__374hren_1_1,weitermachen_2_1) )).++fof(fact_7810,axiom,(+ chea(weiterhelfen_1_1,weiterhelfen_2_1) )).++fof(fact_7811,axiom,(+ chea(weiterreichen_1_1,weiterreichen_2_1) )).++fof(fact_7812,axiom,(+ chea(weiterreichen_1_1,weiterreichung_1_1) )).++fof(fact_7813,axiom,(+ chea(weitersagen_1_1,weitersagen_2_1) )).++fof(fact_7814,axiom,(+ chea(weiterspielen_1_1,weiterspielen_2_1) )).++fof(fact_7815,axiom,(+ chea(weitertragen_1_1,weitertragen_2_1) )).++fof(fact_7816,axiom,(+ chea(weitertreiben_1_1,weitertreiben_2_1) )).++fof(fact_7817,axiom,(+ chea(weiterverarbeiten_1_1,weiterverarbeiten_2_1) )).++fof(fact_7818,axiom,(+ chea(weiterverbreiten_1_1,proliferation_1_1) )).++fof(fact_7819,axiom,(+ chea(weiterverkaufen_1_1,weiterverkaufen_2_1) )).++fof(fact_7820,axiom,(+ chea(weitervermieten_1_1,weitervermieten_2_1) )).++fof(fact_7821,axiom,(+ chea(weitervermieten_1_1,weitervermietung_1_1) )).++fof(fact_7822,axiom,(+ chea(weiterverwenden_1_1,weiterverwenden_2_1) )).++fof(fact_7823,axiom,(+ chea(weiterzahlen_1_1,weiterzahlung_1_1) )).++fof(fact_7824,axiom,(+ chea(weiterziehen_1_1,weiterziehen_2_1) )).++fof(fact_7825,axiom,(+ chea(weiterziehen_1_1,weiterziehung_1_1) )).++fof(fact_7826,axiom,(+ chea(weitspringen_1_1,weitspringen_2_1) )).++fof(fact_7827,axiom,(+ chea(wei__337en_1_1,wei__337en_2_1) )).++fof(fact_7828,axiom,(+ chea(wei__337en_1_1,wei__337ung_1_1) )).++fof(fact_7829,axiom,(+ chea(wei__337waschen_1_1,wei__337waschen_2_1) )).++fof(fact_7830,axiom,(+ chea(welken_1_1,welken_2_1) )).++fof(fact_7831,axiom,(+ chea(wellen_1_1,wellen_2_1) )).++fof(fact_7832,axiom,(+ chea(wellen_1_1,wellung_1_1) )).++fof(fact_7833,axiom,(+ chea(welschen_1_1,welschen_2_1) )).++fof(fact_7834,axiom,(+ chea(wenden_1_1,wendung_1_2) )).++fof(fact_7835,axiom,(+ chea(wenden_1_3,wendung_1_3) )).++fof(fact_7836,axiom,(+ chea(wenden_2_1,wendung_1_1) )).++fof(fact_7837,axiom,(+ chea(werben_1_2,werbung_1_3) )).++fof(fact_7838,axiom,(+ chea(werben_1_3,werbung_1_4) )).++fof(fact_7839,axiom,(+ chea(werfen_1_1,wurf_1_1) )).++fof(fact_7840,axiom,(+ chea(werkeln_1_1,werkeln_2_1) )).++fof(fact_7841,axiom,(+ chea(werkeln_1_1,werken_2_1) )).++fof(fact_7842,axiom,(+ chea(wetterleuchten_1_1,wetterleuchten_2_1) )).++fof(fact_7843,axiom,(+ chea(wettlaufen_1_1,wettlaufen_2_1) )).++fof(fact_7844,axiom,(+ chea(wettrennen_1_1,rennen_2_1) )).++fof(fact_7845,axiom,(+ chea(wetturnen_2_1,wetturnen_1_1) )).++fof(fact_7846,axiom,(+ chea(wetzen_1_1,wetzen_2_1) )).++fof(fact_7847,axiom,(+ chea(wickeln_1_1,wickelung_1_1) )).++fof(fact_7848,axiom,(+ chea(wickeln_1_1,wicklung_1_1) )).++fof(fact_7849,axiom,(+ chea(wickeln_1_2,wickelung_1_2) )).++fof(fact_7850,axiom,(+ chea(wickeln_1_2,wicklung_1_2) )).++fof(fact_7851,axiom,(+ chea(wickeln_1_2,windeln_2_1) )).++fof(fact_7852,axiom,(+ chea(wickeln_1_3,wickelung_1_3) )).++fof(fact_7853,axiom,(+ chea(wickeln_1_3,wicklung_1_3) )).++fof(fact_7854,axiom,(+ chea(wickeln_1_4,wickelung_1_4) )).++fof(fact_7855,axiom,(+ chea(wickeln_1_4,wicklung_1_4) )).++fof(fact_7856,axiom,(+ chea(widerrufen_1_1,widerrufung_1_1) )).++fof(fact_7857,axiom,(+ chea(widerstreben_1_1,widerstreben_2_1) )).++fof(fact_7858,axiom,(+ chea(widerstreben_1_1,widerstrebung_1_1) )).++fof(fact_7859,axiom,(+ chea(widmen_1_1,widmung_1_1) )).++fof(fact_7860,axiom,(+ chea(wiederaufheben_1_1,wiederabschaffung_1_1) )).++fof(fact_7861,axiom,(+ chea(wiederaufnehmen_1_1,fortfuehrung_1_1) )).++fof(fact_7862,axiom,(+ chea(wiederaufrichten_1_1,wiederaufrichten_2_1) )).++fof(fact_7863,axiom,(+ chea(wiederaufrichten_1_1,wiederaufrichtung_1_1) )).++fof(fact_7864,axiom,(+ chea(wiederauftauchen_1_1,wiederauftauchen_2_1) )).++fof(fact_7865,axiom,(+ chea(wiederbekommen_1_1,zur__374ckbekommen_2_1) )).++fof(fact_7866,axiom,(+ chea(wiederbekommen_1_1,zur__374ckerhaltung_1_1) )).++fof(fact_7867,axiom,(+ chea(wiederbeleben_1_1,wiederbeleben_2_1) )).++fof(fact_7868,axiom,(+ chea(wiederbeleben_1_1,wiederbelebung_1_1) )).++fof(fact_7869,axiom,(+ chea(wiederbringen_1_1,wiederbringung_1_1) )).++fof(fact_7870,axiom,(+ chea(wiedereinsetzen_1_1,wiedereinsetzen_2_1) )).++fof(fact_7871,axiom,(+ chea(wiedereinsetzen_1_1,wiedereinsetzung_1_1) )).++fof(fact_7872,axiom,(+ chea(wiederentdecken_1_1,wiederentdecken_2_1) )).++fof(fact_7873,axiom,(+ chea(wiederentdecken_1_1,wiederentdeckung_1_1) )).++fof(fact_7874,axiom,(+ chea(wiedererlangen_1_1,altstoffverwertung_1_1) )).++fof(fact_7875,axiom,(+ chea(wiedererlangen_1_1,wiedererlangen_2_1) )).++fof(fact_7876,axiom,(+ chea(wiedererlangen_1_1,wiedererlangung_1_1) )).++fof(fact_7877,axiom,(+ chea(wiedererlangen_1_1,wiedergewinnen_2_1) )).++fof(fact_7878,axiom,(+ chea(wiedererlangen_1_1,zur__374ckgewinnen_2_1) )).++fof(fact_7879,axiom,(+ chea(wiedererlangen_1_1,zur__374ckgewinnung_1_1) )).++fof(fact_7880,axiom,(+ chea(wiedererstatten_1_1,wiedererstattung_1_1) )).++fof(fact_7881,axiom,(+ chea(wiedererwecken_1_1,wiedererwecken_2_1) )).++fof(fact_7882,axiom,(+ chea(wiedererwecken_1_1,wiedererweckung_1_1) )).++fof(fact_7883,axiom,(+ chea(wiedererz__344hlen_1_1,wiedererz__344hlung_1_1) )).++fof(fact_7884,axiom,(+ chea(wiederer__366ffnen_1_1,wiedereinweihung_1_1) )).++fof(fact_7885,axiom,(+ chea(wiederfinden_1_1,wiederfinden_2_1) )).++fof(fact_7886,axiom,(+ chea(wiederfinden_1_1,wiederfindung_1_1) )).++fof(fact_7887,axiom,(+ chea(wiedergutmachen_1_1,suehne_1_1) )).++fof(fact_7888,axiom,(+ chea(wiedergutmachen_1_1,wiedergutmachen_2_1) )).++fof(fact_7889,axiom,(+ chea(wiederherrichten_1_1,wiederherrichtung_1_1) )).++fof(fact_7890,axiom,(+ chea(wiederholen_1_1,wieder_holen_1_1) )).++fof(fact_7891,axiom,(+ chea(wiederholen_1_2,wiederholung_1_2) )).++fof(fact_7892,axiom,(+ chea(wiederholen_2_1,zur__374ckholen_2_1) )).++fof(fact_7893,axiom,(+ chea(wiederkehren_1_1,wiederkehren_2_1) )).++fof(fact_7894,axiom,(+ chea(wiederkehren_1_1,wiederkehrung_1_1) )).++fof(fact_7895,axiom,(+ chea(wiederkehren_1_1,wiederkommen_2_1) )).++fof(fact_7896,axiom,(+ chea(wiederkehren_1_1,zur__374ckkehren_2_1) )).++fof(fact_7897,axiom,(+ chea(wiederk__344uen_1_1,wiederk__344uen_2_1) )).++fof(fact_7898,axiom,(+ chea(wiedersehen_1_1,wiedersehen_2_1) )).++fof(fact_7899,axiom,(+ chea(wiedervergelten_1_1,wiedervergelten_2_1) )).++fof(fact_7900,axiom,(+ chea(wiedervergelten_1_1,wiedervergeltung_1_1) )).++fof(fact_7901,axiom,(+ chea(wimmern_1_1,winseln_2_1) )).++fof(fact_7902,axiom,(+ chea(winden_1_1,windung_1_1) )).++fof(fact_7903,axiom,(+ chea(winden_1_2,windung_1_2) )).++fof(fact_7904,axiom,(+ chea(winden_1_3,windung_1_3) )).++fof(fact_7905,axiom,(+ chea(winden_1_4,windung_1_4) )).++fof(fact_7906,axiom,(+ chea(winden_1_5,windung_1_5) )).++fof(fact_7907,axiom,(+ chea(winden_1_6,windung_1_6) )).++fof(fact_7908,axiom,(+ chea(winkeln_1_1,winkeln_2_1) )).++fof(fact_7909,axiom,(+ chea(wippen_1_1,wippen_2_1) )).++fof(fact_7910,axiom,(+ chea(wirken_1_2,wirkung_1_2) )).++fof(fact_7911,axiom,(+ chea(wirten_1_1,wirten_2_1) )).++fof(fact_7912,axiom,(+ chea(wohlf__374hlen_1_1,wohlf__374hlen_2_1) )).++fof(fact_7913,axiom,(+ chea(wohltun_1_1,wohltun_2_1) )).++fof(fact_7914,axiom,(+ chea(wohlwollen_1_1,wohlwollen_2_1) )).++fof(fact_7915,axiom,(+ chea(wriggen_1_1,wriggen_2_1) )).++fof(fact_7916,axiom,(+ chea(wringen_1_1,wringen_2_1) )).++fof(fact_7917,axiom,(+ chea(wuchern_1_1,wucherung_1_1) )).++fof(fact_7918,axiom,(+ chea(wundliegen_1_1,wundliegen_2_1) )).++fof(fact_7919,axiom,(+ chea(wursten_1_1,wursten_2_1) )).++fof(fact_7920,axiom,(+ chea(wuseln_1_1,wuseln_2_1) )).++fof(fact_7921,axiom,(+ chea(w__344gen_1_1,w__344gen_2_1) )).++fof(fact_7922,axiom,(+ chea(w__344gen_1_1,w__344gung_1_1) )).++fof(fact_7923,axiom,(+ chea(w__374nschen_1_1,w__374nschen_2_1) )).++fof(fact_7924,axiom,(+ chea(w__374rfeln_1_1,w__374rfeln_2_1) )).++fof(fact_7925,axiom,(+ chea(w__374rgen_1_1,w__374rgen_2_1) )).++fof(fact_7926,axiom,(+ chea(w__374rzen_1_1,w__374rzen_2_1) )).++fof(fact_7927,axiom,(+ chea(w__374rzen_1_1,w__374rzung_1_1) )).++fof(fact_7928,axiom,(+ chea(w__374sten_1_1,w__374sten_2_1) )).++fof(fact_7929,axiom,(+ chea(w__374sten_1_1,w__374stung_1_1) )).++fof(fact_7930,axiom,(+ chea(w__374ten_1_1,w__374ten_2_1) )).++fof(fact_7931,axiom,(+ chea(zacken_1_1,zacke_1_1) )).++fof(fact_7932,axiom,(+ chea(zahlen_1_1,bezahlen_2_1) )).++fof(fact_7933,axiom,(+ chea(zahnen_1_1,zahnen_2_1) )).++fof(fact_7934,axiom,(+ chea(zahnen_1_1,zahnung_1_1) )).++fof(fact_7935,axiom,(+ chea(zappeln_1_1,zappeln_2_1) )).++fof(fact_7936,axiom,(+ chea(zecken_1_1,zecken_2_1) )).++fof(fact_7937,axiom,(+ chea(zehren_1_1,zehren_2_1) )).++fof(fact_7938,axiom,(+ chea(zehren_1_1,zehrung_1_1) )).++fof(fact_7939,axiom,(+ chea(zeichnen_1_1,zeich_nung_1_1) )).++fof(fact_7940,axiom,(+ chea(zeichnen_1_1,zeichnen_2_1) )).++fof(fact_7941,axiom,(+ chea(zelebrieren_1_1,zelebration_1_1) )).++fof(fact_7942,axiom,(+ chea(zelebrieren_1_1,zelebrieren_2_1) )).++fof(fact_7943,axiom,(+ chea(zelebrieren_1_1,zelebrierung_1_1) )).++fof(fact_7944,axiom,(+ chea(zementieren_1_1,zementation_1_1) )).++fof(fact_7945,axiom,(+ chea(zementieren_1_1,zementieren_2_1) )).++fof(fact_7946,axiom,(+ chea(zementieren_1_1,zementierung_1_1) )).++fof(fact_7947,axiom,(+ chea(zensieren_1_1,zensieren_2_1) )).++fof(fact_7948,axiom,(+ chea(zensieren_1_1,zensierung_1_1) )).++fof(fact_7949,axiom,(+ chea(zentrieren_1_1,focussierung_1_1) )).++fof(fact_7950,axiom,(+ chea(zentrieren_1_1,zentrieren_2_1) )).++fof(fact_7951,axiom,(+ chea(zentrifugieren_1_1,zentrifugation_1_1) )).++fof(fact_7952,axiom,(+ chea(zentrifugieren_1_1,zentrifugieren_2_1) )).++fof(fact_7953,axiom,(+ chea(zentrifugieren_1_1,zentrifugierung_1_1) )).++fof(fact_7954,axiom,(+ chea(zerbei__337en_1_1,zerbei__337en_2_1) )).++fof(fact_7955,axiom,(+ chea(zerbei__337en_1_1,zerkauen_2_1) )).++fof(fact_7956,axiom,(+ chea(zerbei__337en_1_1,zermahlung_1_1) )).++fof(fact_7957,axiom,(+ chea(zerbersten_1_1,zerbersten_2_1) )).++fof(fact_7958,axiom,(+ chea(zerdehnen_1_1,zerdehnung_1_1) )).++fof(fact_7959,axiom,(+ chea(zerdr__374cken_1_1,zerdr__374cken_2_1) )).++fof(fact_7960,axiom,(+ chea(zerdr__374cken_1_1,zerdr__374ckung_1_1) )).++fof(fact_7961,axiom,(+ chea(zerdr__374cken_1_1,zerquetschen_2_1) )).++fof(fact_7962,axiom,(+ chea(zerfallen_1_1,zerfallen_2_1) )).++fof(fact_7963,axiom,(+ chea(zerfressen_1_1,zerfressen_2_1) )).++fof(fact_7964,axiom,(+ chea(zerhacken_1_1,zerhacken_2_1) )).++fof(fact_7965,axiom,(+ chea(zerhacken_1_1,zerkleinern_2_1) )).++fof(fact_7966,axiom,(+ chea(zerhauen_1_1,zerschlagung_1_3) )).++fof(fact_7967,axiom,(+ chea(zerkratzen_1_1,zerkratzen_2_1) )).++fof(fact_7968,axiom,(+ chea(zerlaufen_1_1,zerlaufen_2_1) )).++fof(fact_7969,axiom,(+ chea(zerlegen_1_1,zerlegen_2_1) )).++fof(fact_7970,axiom,(+ chea(zerlegen_1_1,zerlegung_1_1) )).++fof(fact_7971,axiom,(+ chea(zerlesen_1_1,zerlesen_2_1) )).++fof(fact_7972,axiom,(+ chea(zermalmen_1_1,zermalmung_1_1) )).++fof(fact_7973,axiom,(+ chea(zerplatzen_1_1,zerplatzen_2_1) )).++fof(fact_7974,axiom,(+ chea(zerreden_1_1,zerreden_2_1) )).++fof(fact_7975,axiom,(+ chea(zerrei__337en_1_1,zerrei__337en_2_1) )).++fof(fact_7976,axiom,(+ chea(zerrei__337en_1_1,zerrei__337ung_1_1) )).++fof(fact_7977,axiom,(+ chea(zerr__374tten_1_1,zerr__374ttung_1_1) )).++fof(fact_7978,axiom,(+ chea(zerschie__337en_1_1,zerschie__337ung_1_1) )).++fof(fact_7979,axiom,(+ chea(zerschlagen_1_1,zerschlagung_1_2) )).++fof(fact_7980,axiom,(+ chea(zerschlagen_1_3,zerschlagung_1_1) )).++fof(fact_7981,axiom,(+ chea(zerschlei__337en_1_1,zerschlei__337en_2_1) )).++fof(fact_7982,axiom,(+ chea(zerspalten_1_1,zerspaltung_1_1) )).++fof(fact_7983,axiom,(+ chea(zerspanen_1_1,zerspanen_2_1) )).++fof(fact_7984,axiom,(+ chea(zerspanen_1_1,zerspanung_1_1) )).++fof(fact_7985,axiom,(+ chea(zersplittern_1_1,zerr__374ttung_1_1) )).++fof(fact_7986,axiom,(+ chea(zersprengen_1_1,zersprengung_1_1) )).++fof(fact_7987,axiom,(+ chea(zerstampfen_1_1,zerstampfen_2_1) )).++fof(fact_7988,axiom,(+ chea(zerstechen_1_1,zerstechen_2_1) )).++fof(fact_7989,axiom,(+ chea(zersto__337en_1_1,zersto__337en_2_1) )).++fof(fact_7990,axiom,(+ chea(zerstrahlen_1_1,zerstrahlung_1_1) )).++fof(fact_7991,axiom,(+ chea(zerstreuen_1_1,zerstreuung_1_1) )).++fof(fact_7992,axiom,(+ chea(zerstreuen_1_2,zerstreuung_1_2) )).++fof(fact_7993,axiom,(+ chea(zerstreuen_1_3,zerstreuung_1_3) )).++fof(fact_7994,axiom,(+ chea(zerst__374ckeln_1_1,zerst__374ckeln_2_1) )).++fof(fact_7995,axiom,(+ chea(zerst__374ckeln_1_1,zerst__374ckelung_1_1) )).++fof(fact_7996,axiom,(+ chea(zers__344gen_1_1,zers__344gen_2_1) )).++fof(fact_7997,axiom,(+ chea(zerteilen_1_1,zerteilen_2_1) )).++fof(fact_7998,axiom,(+ chea(zerteilen_1_1,zerteilung_1_1) )).++fof(fact_7999,axiom,(+ chea(zerteppern_1_1,zertr__374mmerung_1_1) )).++fof(fact_8000,axiom,(+ chea(zertifizieren_1_1,authentifizierung_1_1) )).++fof(fact_8001,axiom,(+ chea(zertifizieren_1_1,zertifizieren_2_1) )).++fof(fact_8002,axiom,(+ chea(zertrampeln_1_1,zertrampeln_2_1) )).++fof(fact_8003,axiom,(+ chea(zertrampeln_1_1,zertreten_2_1) )).++fof(fact_8004,axiom,(+ chea(zertrennen_1_1,zertrennen_2_1) )).++fof(fact_8005,axiom,(+ chea(zetern_1_1,gezeter_1_1) )).++fof(fact_8006,axiom,(+ chea(zetteln_1_1,zetteln_2_1) )).++fof(fact_8007,axiom,(+ chea(zeugen_1_1,zeugung_1_1) )).++fof(fact_8008,axiom,(+ chea(zinken_1_1,zacke_1_1) )).++fof(fact_8009,axiom,(+ chea(zinken_1_1,zinkung_1_1) )).++fof(fact_8010,axiom,(+ chea(zinsen_1_1,zinsen_2_1) )).++fof(fact_8011,axiom,(+ chea(zirkeln_1_1,zirkeln_2_1) )).++fof(fact_8012,axiom,(+ chea(zirkulieren_1_1,zirkulation_1_1) )).++fof(fact_8013,axiom,(+ chea(zirkulieren_1_1,zirkulieren_2_1) )).++fof(fact_8014,axiom,(+ chea(zirpen_1_1,zirpen_2_1) )).++fof(fact_8015,axiom,(+ chea(zischeln_1_1,zischeln_2_1) )).++fof(fact_8016,axiom,(+ chea(ziselieren_1_1,ziselieren_2_1) )).++fof(fact_8017,axiom,(+ chea(ziselieren_1_1,ziselierung_1_1) )).++fof(fact_8018,axiom,(+ chea(zivilisieren_1_1,zivilisierung_1_1) )).++fof(fact_8019,axiom,(+ chea(zocken_1_1,zocken_2_1) )).++fof(fact_8020,axiom,(+ chea(zoomen_1_1,zoomen_2_1) )).++fof(fact_8021,axiom,(+ chea(zubei__337en_1_1,zubei__337en_2_1) )).++fof(fact_8022,axiom,(+ chea(zubereiten_1_1,zubereiten_2_1) )).++fof(fact_8023,axiom,(+ chea(zubereiten_1_1,zubereitung_1_1) )).++fof(fact_8024,axiom,(+ chea(zubilligen_1_1,zubilligung_1_1) )).++fof(fact_8025,axiom,(+ chea(zubinden_1_1,zubinden_2_1) )).++fof(fact_8026,axiom,(+ chea(zubringen_1_1,zubringen_2_1) )).++fof(fact_8027,axiom,(+ chea(zubringen_1_1,zubringung_1_1) )).++fof(fact_8028,axiom,(+ chea(zucken_1_1,zucken_2_1) )).++fof(fact_8029,axiom,(+ chea(zucken_1_1,zuckung_1_1) )).++fof(fact_8030,axiom,(+ chea(zudrehen_1_1,zudrehen_2_1) )).++fof(fact_8031,axiom,(+ chea(zudr__374cken_1_1,zudr__374cken_2_1) )).++fof(fact_8032,axiom,(+ chea(zueignen_1_1,zueignung_1_1) )).++fof(fact_8033,axiom,(+ chea(zuerkennen_1_1,kontingentierung_1_1) )).++fof(fact_8034,axiom,(+ chea(zufahren_1_1,zufahren_2_1) )).++fof(fact_8035,axiom,(+ chea(zufassen_1_1,zufassen_2_1) )).++fof(fact_8036,axiom,(+ chea(zufriedenstellen_1_1,zufriedenstellung_1_1) )).++fof(fact_8037,axiom,(+ chea(zufrieren_1_1,zufrieren_2_1) )).++fof(fact_8038,axiom,(+ chea(zuf__374gen_1_2,zuf__374gung_1_2) )).++fof(fact_8039,axiom,(+ chea(zuf__374hren_1_1,zuf__374hrung_1_1) )).++fof(fact_8040,axiom,(+ chea(zugreifen_1_1,zupacken_2_1) )).++fof(fact_8041,axiom,(+ chea(zugrundegehen_1_1,zugrundegehen_2_1) )).++fof(fact_8042,axiom,(+ chea(zugrundelegen_1_1,zugrundelegung_1_1) )).++fof(fact_8043,axiom,(+ chea(zugucken_1_1,zugucken_2_1) )).++fof(fact_8044,axiom,(+ chea(zugucken_1_1,zuschauen_2_1) )).++fof(fact_8045,axiom,(+ chea(zugucken_1_1,zusehen_2_1) )).++fof(fact_8046,axiom,(+ chea(zuhaken_1_1,zuhaken_2_1) )).++fof(fact_8047,axiom,(+ chea(zuhalten_1_1,zuhalten_2_1) )).++fof(fact_8048,axiom,(+ chea(zuhalten_1_1,zuhaltung_1_1) )).++fof(fact_8049,axiom,(+ chea(zuhauen_1_1,zuhauen_2_1) )).++fof(fact_8050,axiom,(+ chea(zuhauen_1_1,zuknallen_2_1) )).++fof(fact_8051,axiom,(+ chea(zukaufen_1_1,zukaufen_2_1) )).++fof(fact_8052,axiom,(+ chea(zuklappen_1_1,zuklappen_2_1) )).++fof(fact_8053,axiom,(+ chea(zukneifen_1_1,zukneifen_2_1) )).++fof(fact_8054,axiom,(+ chea(zukn__366pfen_1_1,zukn__366pfen_2_1) )).++fof(fact_8055,axiom,(+ chea(zulassen_1_1,zulassung_1_2) )).++fof(fact_8056,axiom,(+ chea(zuleiten_1_1,zuleitung_1_1) )).++fof(fact_8057,axiom,(+ chea(zuleiten_1_2,zuleitung_1_2) )).++fof(fact_8058,axiom,(+ chea(zul__344cheln_1_1,zul__344cheln_2_1) )).++fof(fact_8059,axiom,(+ chea(zumessen_1_1,kontingentierung_1_1) )).++fof(fact_8060,axiom,(+ chea(zumuten_1_1,unverfrorenheit_1_1) )).++fof(fact_8061,axiom,(+ chea(zunageln_1_1,zunageln_2_1) )).++fof(fact_8062,axiom,(+ chea(zuneigen_1_1,zuneigung_1_1) )).++fof(fact_8063,axiom,(+ chea(zunicken_1_1,zunicken_2_1) )).++fof(fact_8064,axiom,(+ chea(zunutzemachen_1_1,zunutzemachung_1_1) )).++fof(fact_8065,axiom,(+ chea(zun__344hen_1_1,zun__344hen_2_1) )).++fof(fact_8066,axiom,(+ chea(zuordnen_1_1,zuordnen_2_1) )).++fof(fact_8067,axiom,(+ chea(zuordnen_1_1,zuordnung_1_2) )).++fof(fact_8068,axiom,(+ chea(zuordnen_1_1,zurechnung_1_1) )).++fof(fact_8069,axiom,(+ chea(zupfen_1_1,zupfen_2_1) )).++fof(fact_8070,axiom,(+ chea(zuraten_1_1,zuraten_2_1) )).++fof(fact_8071,axiom,(+ chea(zurechtbiegen_1_1,zurechtbiegen_2_1) )).++fof(fact_8072,axiom,(+ chea(zurechtfinden_1_1,zurechtfinden_2_1) )).++fof(fact_8073,axiom,(+ chea(zurechtlegen_1_1,zurechtlegen_2_1) )).++fof(fact_8074,axiom,(+ chea(zurechtstutzen_1_1,massregelung_1_1) )).++fof(fact_8075,axiom,(+ chea(zureden_1_1,zureden_2_1) )).++fof(fact_8076,axiom,(+ chea(zureiten_1_1,zureiten_2_1) )).++fof(fact_8077,axiom,(+ chea(zureiten_1_1,zureitung_1_1) )).++fof(fact_8078,axiom,(+ chea(zurren_1_1,zurrung_1_1) )).++fof(fact_8079,axiom,(+ chea(zurufen_1_1,zurufen_2_1) )).++fof(fact_8080,axiom,(+ chea(zur__374ckbehalten_1_1,zur__374ckbehalten_2_1) )).++fof(fact_8081,axiom,(+ chea(zur__374ckbehalten_1_1,zur__374ckbehaltung_1_1) )).++fof(fact_8082,axiom,(+ chea(zur__374ckberufen_1_1,zur__374ckberufung_1_1) )).++fof(fact_8083,axiom,(+ chea(zur__374ckbeugen_1_1,zur__374ckbeugen_2_1) )).++fof(fact_8084,axiom,(+ chea(zur__374ckbilden_1_1,zur__374ckbildung_1_1) )).++fof(fact_8085,axiom,(+ chea(zur__374ckblicken_1_1,zur__374ckschauen_2_1) )).++fof(fact_8086,axiom,(+ chea(zur__374ckbringen_1_1,zur__374ckbringen_2_1) )).++fof(fact_8087,axiom,(+ chea(zur__374ckdrehen_1_1,zur__374ckdrehen_2_1) )).++fof(fact_8088,axiom,(+ chea(zur__374ckdrehen_1_1,zur__374ckdrehung_1_1) )).++fof(fact_8089,axiom,(+ chea(zur__374ckdr__344ngen_1_1,zur__374ckdr__344ngen_2_1) )).++fof(fact_8090,axiom,(+ chea(zur__374ckdr__344ngen_1_1,zur__374ckdr__344ngung_1_1) )).++fof(fact_8091,axiom,(+ chea(zur__374ckd__344mmen_1_1,zur__374ckd__344mmung_1_1) )).++fof(fact_8092,axiom,(+ chea(zur__374ckflie__337en_1_1,zur__374ckflie__337en_2_1) )).++fof(fact_8093,axiom,(+ chea(zur__374ckfragen_1_1,zur__374ckfragen_2_1) )).++fof(fact_8094,axiom,(+ chea(zur__374ckgeben_1_1,rueckgabe_1_1) )).++fof(fact_8095,axiom,(+ chea(zur__374ckgehen_1_1,rueckgang_1_1) )).++fof(fact_8096,axiom,(+ chea(zur__374ckhalten_1_1,zur__374ckhaltung_1_3) )).++fof(fact_8097,axiom,(+ chea(zur__374cklassen_1_1,zur__374cklassung_1_1) )).++fof(fact_8098,axiom,(+ chea(zur__374cklehnen_1_1,zur__374cklehnen_2_1) )).++fof(fact_8099,axiom,(+ chea(zur__374ckpfeifen_1_1,zur__374ckpfeifen_2_1) )).++fof(fact_8100,axiom,(+ chea(zur__374ckrufen_1_1,zur__374ckrufung_1_1) )).++fof(fact_8101,axiom,(+ chea(zur__374cksetzen_1_1,zur__374cksetzen_2_1) )).++fof(fact_8102,axiom,(+ chea(zur__374cksetzen_1_1,zur__374cksetzung_1_1) )).++fof(fact_8103,axiom,(+ chea(zur__374ckstellen_1_2,zur__374ckstellung_1_1) )).++fof(fact_8104,axiom,(+ chea(zur__374ckstellen_1_3,zur__374ckstellung_1_3) )).++fof(fact_8105,axiom,(+ chea(zur__374cksto__337en_1_1,zur__374cksto__337en_2_1) )).++fof(fact_8106,axiom,(+ chea(zur__374cksto__337en_1_1,zur__374cksto__337ung_1_1) )).++fof(fact_8107,axiom,(+ chea(zur__374ckstrahlen_1_1,zur__374ckstrahlung_1_1) )).++fof(fact_8108,axiom,(+ chea(zur__374ckstufen_1_1,zur__374ckstufen_2_1) )).++fof(fact_8109,axiom,(+ chea(zur__374ckstufen_1_1,zur__374ckstufung_1_1) )).++fof(fact_8110,axiom,(+ chea(zur__374cktreten_1_1,zur__374cktreten_2_1) )).++fof(fact_8111,axiom,(+ chea(zur__374ckverfolgen_1_1,zur__374ckverfolgen_2_1) )).++fof(fact_8112,axiom,(+ chea(zur__374ckverfolgen_1_1,zur__374ckverfolgung_1_1) )).++fof(fact_8113,axiom,(+ chea(zur__374ckverweisen_1_1,zur__374ckverweisen_2_1) )).++fof(fact_8114,axiom,(+ chea(zur__374ckverweisen_1_1,zur__374ckverweisung_1_1) )).++fof(fact_8115,axiom,(+ chea(zur__374ckweichen_1_1,flucht_1_1) )).++fof(fact_8116,axiom,(+ chea(zur__374ckzahlen_1_1,zur__374ckzahlen_2_1) )).++fof(fact_8117,axiom,(+ chea(zur__374ckzahlen_1_1,zur__374ckzahlung_1_1) )).++fof(fact_8118,axiom,(+ chea(zusagen_1_1,zusagen_2_1) )).++fof(fact_8119,axiom,(+ chea(zusammenbauen_1_1,zusammenbauen_2_1) )).++fof(fact_8120,axiom,(+ chea(zusammenbinden_1_1,zusammenbinden_2_1) )).++fof(fact_8121,axiom,(+ chea(zusammenbinden_1_1,zusammenbindung_1_1) )).++fof(fact_8122,axiom,(+ chea(zusammenbinden_1_1,zusammenschn__374ren_2_1) )).++fof(fact_8123,axiom,(+ chea(zusammenbleiben_1_1,zusammenbleiben_2_1) )).++fof(fact_8124,axiom,(+ chea(zusammenbrechen_1_1,zusammenbrechen_2_1) )).++fof(fact_8125,axiom,(+ chea(zusammenbrechen_1_1,zusammenbruch_1_1) )).++fof(fact_8126,axiom,(+ chea(zusammenbringen_1_1,zusammenbringen_2_1) )).++fof(fact_8127,axiom,(+ chea(zusammenbringen_1_1,zusammentragen_2_1) )).++fof(fact_8128,axiom,(+ chea(zusammendr__344ngen_1_1,zusammendr__344ngen_2_1) )).++fof(fact_8129,axiom,(+ chea(zusammendr__344ngen_1_1,zusammendr__344ngung_1_1) )).++fof(fact_8130,axiom,(+ chea(zusammendr__374cken_1_1,zusammendr__374cken_2_1) )).++fof(fact_8131,axiom,(+ chea(zusammendr__374cken_1_1,zusammendr__374ckung_1_1) )).++fof(fact_8132,axiom,(+ chea(zusammenfassen_1_2,zusammenfassung_1_2) )).++fof(fact_8133,axiom,(+ chea(zusammenfinden_1_1,zusammenfinden_2_1) )).++fof(fact_8134,axiom,(+ chea(zusammenflie__337en_1_1,zusammenflie__337en_2_1) )).++fof(fact_8135,axiom,(+ chea(zusammenf__374hren_1_2,zusammenf__374hrung_1_2) )).++fof(fact_8136,axiom,(+ chea(zusammengehen_1_1,zusammengehen_2_1) )).++fof(fact_8137,axiom,(+ chea(zusammengeh__366ren_1_1,zusammengeh__366ren_2_1) )).++fof(fact_8138,axiom,(+ chea(zusammenkehren_1_1,zusammenkehren_2_1) )).++fof(fact_8139,axiom,(+ chea(zusammenklappen_1_1,zusammenklappen_2_1) )).++fof(fact_8140,axiom,(+ chea(zusammenkneifen_1_1,zusammenkneifen_2_1) )).++fof(fact_8141,axiom,(+ chea(zusammenleben_1_1,zusammenleben_2_1) )).++fof(fact_8142,axiom,(+ chea(zusammenlegen_1_1,zusammenlegung_1_2) )).++fof(fact_8143,axiom,(+ chea(zusammenlegen_1_2,zusammenlegung_1_1) )).++fof(fact_8144,axiom,(+ chea(zusammennehmen_1_1,zusammennehmen_2_1) )).++fof(fact_8145,axiom,(+ chea(zusammenpacken_1_1,zusammenpacken_2_1) )).++fof(fact_8146,axiom,(+ chea(zusammenpassen_1_1,zusammenstimmen_2_1) )).++fof(fact_8147,axiom,(+ chea(zusammenpassen_1_1,zusammenstimmung_1_1) )).++fof(fact_8148,axiom,(+ chea(zusammenprallen_1_1,zusammenprallen_2_1) )).++fof(fact_8149,axiom,(+ chea(zusammenraufen_1_1,zusammenraufen_2_1) )).++fof(fact_8150,axiom,(+ chea(zusammenrechnen_1_1,zusammenrechnen_2_1) )).++fof(fact_8151,axiom,(+ chea(zusammenrechnen_1_1,zusammenrechnung_1_1) )).++fof(fact_8152,axiom,(+ chea(zusammenrotten_1_1,zusammenrotten_2_1) )).++fof(fact_8153,axiom,(+ chea(zusammenrotten_1_1,zusammenrottung_1_1) )).++fof(fact_8154,axiom,(+ chea(zusammenr__374cken_1_1,zusammenr__374cken_2_1) )).++fof(fact_8155,axiom,(+ chea(zusammenr__374cken_1_1,zusammenr__374ckung_1_1) )).++fof(fact_8156,axiom,(+ chea(zusammensacken_1_1,zusammensacken_2_1) )).++fof(fact_8157,axiom,(+ chea(zusammenschlagen_1_1,zusammenschlagen_2_1) )).++fof(fact_8158,axiom,(+ chea(zusammenschmelzen_1_1,zusammenschmelzen_2_1) )).++fof(fact_8159,axiom,(+ chea(zusammenschmelzen_1_1,zusammenschmelzung_1_1) )).++fof(fact_8160,axiom,(+ chea(zusammenschreiben_1_1,zusammenschreiben_2_1) )).++fof(fact_8161,axiom,(+ chea(zusammenschreiben_1_1,zusammenschreibung_1_1) )).++fof(fact_8162,axiom,(+ chea(zusammenschwei__337en_1_1,zusammenschwei__337en_2_1) )).++fof(fact_8163,axiom,(+ chea(zusammensein_1_1,beisammensein_1_1) )).++fof(fact_8164,axiom,(+ chea(zusammensetzen_1_1,zusammensetzung_1_2) )).++fof(fact_8165,axiom,(+ chea(zusammensitzen_1_1,zusammensitzen_2_1) )).++fof(fact_8166,axiom,(+ chea(zusammenspielen_1_1,zusammenspielen_2_1) )).++fof(fact_8167,axiom,(+ chea(zusammenstauchen_1_1,zusammenstauchung_1_1) )).++fof(fact_8168,axiom,(+ chea(zusammenstreichen_1_1,zusammenstreichen_2_1) )).++fof(fact_8169,axiom,(+ chea(zusammenstr__366men_1_1,zusammenstr__366men_2_1) )).++fof(fact_8170,axiom,(+ chea(zusammensuchen_1_1,zusammensuchen_2_1) )).++fof(fact_8171,axiom,(+ chea(zusammentreten_1_1,zusammentreten_2_1) )).++fof(fact_8172,axiom,(+ chea(zusammenwachsen_1_1,zusammenwachsen_2_1) )).++fof(fact_8173,axiom,(+ chea(zusammenwirken_1_1,zusammenwirken_2_1) )).++fof(fact_8174,axiom,(+ chea(zusammenwirken_1_1,zusammenwirkung_1_1) )).++fof(fact_8175,axiom,(+ chea(zusammenziehen_1_1,zusammenziehung_1_1) )).++fof(fact_8176,axiom,(+ chea(zusammenziehen_1_2,zusammenziehung_1_2) )).++fof(fact_8177,axiom,(+ chea(zusammenziehen_1_3,zusammenziehung_1_3) )).++fof(fact_8178,axiom,(+ chea(zusammenziehen_2_1,zusammenziehung_1_4) )).++fof(fact_8179,axiom,(+ chea(zusammenziehen_2_2,zusammenziehung_1_5) )).++fof(fact_8180,axiom,(+ chea(zusammenzucken_1_1,zusammenzucken_2_1) )).++fof(fact_8181,axiom,(+ chea(zusammenz__344hlen_1_1,zusammenz__344hlen_2_1) )).++fof(fact_8182,axiom,(+ chea(zusammenz__344hlen_1_1,zusammenz__344hlung_1_1) )).++fof(fact_8183,axiom,(+ chea(zuschalten_1_1,zuschalten_2_1) )).++fof(fact_8184,axiom,(+ chea(zuschalten_1_1,zuschaltung_1_1) )).++fof(fact_8185,axiom,(+ chea(zuschaufeln_1_1,zuschaufeln_2_1) )).++fof(fact_8186,axiom,(+ chea(zuschlie__337en_1_1,zusperren_2_1) )).++fof(fact_8187,axiom,(+ chea(zuschnappen_1_1,zuschnappen_2_1) )).++fof(fact_8188,axiom,(+ chea(zuschneiden_1_1,zuschneiden_2_1) )).++fof(fact_8189,axiom,(+ chea(zuschneiden_1_1,zuschneidung_1_1) )).++fof(fact_8190,axiom,(+ chea(zuschneiden_1_1,zuschnitt_1_1) )).++fof(fact_8191,axiom,(+ chea(zuschn__374ren_1_1,zuschn__374ren_2_1) )).++fof(fact_8192,axiom,(+ chea(zuschrauben_1_1,zuschrauben_2_1) )).++fof(fact_8193,axiom,(+ chea(zuschreiben_1_1,beilegung_1_1) )).++fof(fact_8194,axiom,(+ chea(zuschreiben_1_1,zuschreiben_2_1) )).++fof(fact_8195,axiom,(+ chea(zusch__374tten_1_1,zusch__374tten_2_1) )).++fof(fact_8196,axiom,(+ chea(zusch__374tten_1_1,zusch__374ttung_1_1) )).++fof(fact_8197,axiom,(+ chea(zuspielen_1_1,zuspielen_2_1) )).++fof(fact_8198,axiom,(+ chea(zuspielen_1_1,zuspielung_1_1) )).++fof(fact_8199,axiom,(+ chea(zuspitzen_1_1,verengung_1_1) )).++fof(fact_8200,axiom,(+ chea(zuspitzen_1_1,zuspitzen_2_1) )).++fof(fact_8201,axiom,(+ chea(zusprechen_1_1,zusprechung_1_1) )).++fof(fact_8202,axiom,(+ chea(zusprechen_1_2,zusprechung_1_2) )).++fof(fact_8203,axiom,(+ chea(zustandekommen_1_1,zustandekommen_2_1) )).++fof(fact_8204,axiom,(+ chea(zusteigen_1_1,zusteigen_2_1) )).++fof(fact_8205,axiom,(+ chea(zustellen_1_1,ablieferung_1_1) )).++fof(fact_8206,axiom,(+ chea(zustellen_1_1,zustellen_2_1) )).++fof(fact_8207,axiom,(+ chea(zustr__366men_1_1,zustr__366mung_1_1) )).++fof(fact_8208,axiom,(+ chea(zuteilen_1_1,verteilen_2_1) )).++fof(fact_8209,axiom,(+ chea(zuteilen_1_1,zuweisen_2_1) )).++fof(fact_8210,axiom,(+ chea(zuteilen_1_1,zuweisung_1_1) )).++fof(fact_8211,axiom,(+ chea(zutrauen_1_1,zutrauen_2_1) )).++fof(fact_8212,axiom,(+ chea(zutreten_1_1,zutreten_2_1) )).++fof(fact_8213,axiom,(+ chea(zutrinken_1_1,zutrinken_2_1) )).++fof(fact_8214,axiom,(+ chea(zutun_1_1,zutun_2_1) )).++fof(fact_8215,axiom,(+ chea(zuvorkommen_1_1,zuvorkommen_2_1) )).++fof(fact_8216,axiom,(+ chea(zuwachsen_1_1,zuwachsen_2_1) )).++fof(fact_8217,axiom,(+ chea(zuwarten_1_1,zuwarten_2_1) )).++fof(fact_8218,axiom,(+ chea(zuwenden_1_1,hinwendung_1_1) )).++fof(fact_8219,axiom,(+ chea(zuwenden_1_1,zuwenden_2_1) )).++fof(fact_8220,axiom,(+ chea(zuwerfen_1_1,zuwerfen_2_1) )).++fof(fact_8221,axiom,(+ chea(zuwiderlaufen_1_1,zuwiderlaufen_2_1) )).++fof(fact_8222,axiom,(+ chea(zuwinken_1_1,zuwinken_2_1) )).++fof(fact_8223,axiom,(+ chea(zuzahlen_1_1,zuzahlen_2_1) )).++fof(fact_8224,axiom,(+ chea(zuzahlen_1_1,zuzahlung_1_1) )).++fof(fact_8225,axiom,(+ chea(zuziehen_1_1,zuziehung_1_1) )).++fof(fact_8226,axiom,(+ chea(zuziehen_2_1,zuziehung_1_2) )).++fof(fact_8227,axiom,(+ chea(zwecken_1_1,zwecken_2_1) )).++fof(fact_8228,axiom,(+ chea(zweckentfremden_1_1,zweckentfremden_2_1) )).++fof(fact_8229,axiom,(+ chea(zweckentfremden_1_1,zweckentfremdung_1_1) )).++fof(fact_8230,axiom,(+ chea(zweigen_1_1,zweigen_2_1) )).++fof(fact_8231,axiom,(+ chea(zwicken_1_1,zwicken_2_1) )).++fof(fact_8232,axiom,(+ chea(zwiebeln_1_1,zwiebeln_2_1) )).++fof(fact_8233,axiom,(+ chea(zwirnen_1_1,zwirnen_2_1) )).++fof(fact_8234,axiom,(+ chea(zwirnen_1_1,zwirnung_1_1) )).++fof(fact_8235,axiom,(+ chea(zwischenlanden_1_1,zwischenlanden_2_1) )).++fof(fact_8236,axiom,(+ chea(zwischenlanden_1_1,zwischenlandung_1_1) )).++fof(fact_8237,axiom,(+ chea(zw__344ngen_1_1,zw__344ngen_2_1) )).++fof(fact_8238,axiom,(+ chea(z__344hlen_1_1,z__344hlung_1_1) )).++fof(fact_8239,axiom,(+ chea(z__344hnen_1_1,z__344hnen_2_1) )).++fof(fact_8240,axiom,(+ chea(z__344hnen_1_1,z__344hnung_1_1) )).++fof(fact_8241,axiom,(+ chea(z__344umen_1_1,z__344umung_1_1) )).++fof(fact_8242,axiom,(+ chea(z__344unen_1_1,z__344unen_2_1) )).++fof(fact_8243,axiom,(+ chea(z__374chten_1_1,aufzucht_1_1) )).++fof(fact_8244,axiom,(+ chea(z__374chten_1_1,z__374chten_2_1) )).++fof(fact_8245,axiom,(+ chea(z__374cken_1_1,z__374cken_2_1) )).++fof(fact_8246,axiom,(+ chea(z__374geln_1_1,z__374geln_2_1) )).++fof(fact_8247,axiom,(+ chea(z__374geln_1_1,z__374gelung_1_1) )).++fof(fact_8248,axiom,(+ chea(z__374geln_1_1,z__374glung_1_1) )).++fof(fact_8249,axiom,(+ chea(z__374nden_1_1,z__374ndung_1_1) )).++fof(fact_8250,axiom,(+ chea(z__374nden_1_2,z__374ndung_1_2) )).++fof(fact_8251,axiom,(+ chea(z__374ngeln_1_1,z__374ngeln_2_1) )).++fof(fact_8252,axiom,(+ chea(n344ndern_1_1,ver__344nderung_1_1) )).++fof(fact_8253,axiom,(+ chea(n344sen_1_1,n344sen_2_1) )).++fof(fact_8254,axiom,(+ chea(n344sen_1_1,n344sung_1_1) )).++fof(fact_8255,axiom,(+ chea(n344sthetisieren_1_1,n344sthetisierung_1_1) )).++fof(fact_8256,axiom,(+ chea(n344tzen_1_1,n344tzen_2_1) )).++fof(fact_8257,axiom,(+ chea(n344tzen_1_1,n344tzung_1_1) )).++fof(fact_8258,axiom,(+ chea(n344ufnen_1_1,n344ufnung_1_1) )).++fof(fact_8259,axiom,(+ chea(n344ugeln_1_1,n344ugeln_2_1) )).++fof(fact_8260,axiom,(+ chea(n344u__337ern_1_1,n344u__337erung_1_2) )).++fof(fact_8261,axiom,(+ chea(n344u__337ern_1_2,n344u__337erung_1_3) )).++fof(fact_8262,axiom,(+ chea(n366den_1_1,n366den_2_1) )).++fof(fact_8263,axiom,(+ chea(n366den_1_1,n366dung_1_1) )).++fof(fact_8264,axiom,(+ chea(n366ffnen_1_1,n366ffnung_1_2) )).++fof(fact_8265,axiom,(+ chea(n366ffnen_1_2,n366ffnung_1_3) )).++fof(fact_8266,axiom,(+ chea(n366kologisieren_1_1,n366kologisierung_1_1) )).++fof(fact_8267,axiom,(+ chea(n366konomisieren_1_1,n366konomisierung_1_1) )).++fof(fact_8268,axiom,(+ chea(n366len_1_1,n366len_2_1) )).++fof(fact_8269,axiom,(+ chea(n366len_1_1,n366lung_1_1) )).++fof(fact_8270,axiom,(+ chea(n374ben_1_2,n374bung_1_3) )).++fof(fact_8271,axiom,(+ chea(n374beranstrengen_1_1,n374beranstrengung_1_1) )).++fof(fact_8272,axiom,(+ chea(n374berantworten_1_1,n374berantwortung_1_1) )).++fof(fact_8273,axiom,(+ chea(n374berarbeiten_1_2,revidierung_1_1) )).++fof(fact_8274,axiom,(+ chea(n374berbacken_1_1,n374berbacken_2_1) )).++fof(fact_8275,axiom,(+ chea(n374berbeanspruchen_1_1,n374berbeanspruchung_1_1) )).++fof(fact_8276,axiom,(+ chea(n374berbeanspruchen_1_1,n374berstrapazierung_1_1) )).++fof(fact_8277,axiom,(+ chea(n374berbelasten_1_1,n374berbelastung_1_1) )).++fof(fact_8278,axiom,(+ chea(n374berbelichten_1_1,n374berbelichtung_1_1) )).++fof(fact_8279,axiom,(+ chea(n374berbetonen_1_1,n374berbetonung_1_1) )).++fof(fact_8280,axiom,(+ chea(n374berbewerten_1_1,n374berbewertung_1_1) )).++fof(fact_8281,axiom,(+ chea(n374berbezahlen_1_1,n374berbezahlung_1_1) )).++fof(fact_8282,axiom,(+ chea(n374berbieten_1_1,n374berbietung_1_1) )).++fof(fact_8283,axiom,(+ chea(n374berblasen_1_1,n374berblasen_2_1) )).++fof(fact_8284,axiom,(+ chea(n374berblenden_1_1,n374berblenden_2_1) )).++fof(fact_8285,axiom,(+ chea(n374berblenden_1_1,n374berblendung_1_1) )).++fof(fact_8286,axiom,(+ chea(n374berbringen_1_1,n374berbringen_2_1) )).++fof(fact_8287,axiom,(+ chea(n374berbringen_1_1,n374berbringung_1_1) )).++fof(fact_8288,axiom,(+ chea(n374berbr__374cken_1_1,n374berbr__374cken_2_1) )).++fof(fact_8289,axiom,(+ chea(n374berbr__374cken_1_1,n374berbr__374ckung_1_1) )).++fof(fact_8290,axiom,(+ chea(n374berb__374rden_1_1,n374berb__374rdung_1_1) )).++fof(fact_8291,axiom,(+ chea(n374berdachen_1_1,n374berdachung_1_1) )).++fof(fact_8292,axiom,(+ chea(n374berdauern_1_1,n374berdauern_2_1) )).++fof(fact_8293,axiom,(+ chea(n374berdehnen_1_1,n374berdehnen_2_1) )).++fof(fact_8294,axiom,(+ chea(n374berdehnen_1_1,n374berdehnung_1_1) )).++fof(fact_8295,axiom,(+ chea(n374berdenken_1_1,n374berdenken_2_1) )).++fof(fact_8296,axiom,(+ chea(n374berdosieren_1_1,n374berdosieren_2_1) )).++fof(fact_8297,axiom,(+ chea(n374berdosieren_1_1,n374berdosierung_1_1) )).++fof(fact_8298,axiom,(+ chea(n374berdrehen_1_1,n374berdrehen_2_1) )).++fof(fact_8299,axiom,(+ chea(n374berdrehen_1_1,n374berdrehung_1_1) )).++fof(fact_8300,axiom,(+ chea(n374berdrucken_1_1,n374berdrucken_2_1) )).++fof(fact_8301,axiom,(+ chea(n374berdrucken_1_1,n374berdruckung_1_1) )).++fof(fact_8302,axiom,(+ chea(n374bereilen_1_1,eile_1_1) )).++fof(fact_8303,axiom,(+ chea(n374bereilen_1_1,n374berhastung_1_1) )).++fof(fact_8304,axiom,(+ chea(n374bereilen_1_1,n374berst__374rzung_1_1) )).++fof(fact_8305,axiom,(+ chea(n374bereinstimmen_1_2,analogie__1_1) )).++fof(fact_8306,axiom,(+ chea(n374bereinstimmen_1_3,n374bereinstimmung_1_3) )).++fof(fact_8307,axiom,(+ chea(n374bererf__374llen_1_1,n374bererf__374llung_1_1) )).++fof(fact_8308,axiom,(+ chea(n374berfischen_1_1,n374berfischen_2_1) )).++fof(fact_8309,axiom,(+ chea(n374berfischen_1_1,n374berfischung_1_1) )).++fof(fact_8310,axiom,(+ chea(n374berfliegen_1_1,n374berfliegen_2_1) )).++fof(fact_8311,axiom,(+ chea(n374berfliegen_1_1,n374berfliegung_1_1) )).++fof(fact_8312,axiom,(+ chea(n374berfluten_1_1,flutkatastrophe_1_1) )).++fof(fact_8313,axiom,(+ chea(n374berfl__374geln_1_1,n374berfl__374geln_2_1) )).++fof(fact_8314,axiom,(+ chea(n374berfl__374geln_1_1,n374berfl__374gelung_1_1) )).++fof(fact_8315,axiom,(+ chea(n374berfl__374geln_1_1,n374berrunden_2_1) )).++fof(fact_8316,axiom,(+ chea(n374berfl__374geln_1_1,n374berrundung_1_1) )).++fof(fact_8317,axiom,(+ chea(n374berfl__374geln_1_1,n374bertrumpfung_1_1) )).++fof(fact_8318,axiom,(+ chea(n374berfordern_1_1,n374berforderung_1_1) )).++fof(fact_8319,axiom,(+ chea(n374berfrachten_1_1,n374berfrachten_2_1) )).++fof(fact_8320,axiom,(+ chea(n374berfrachten_1_1,n374berfrachtung_1_1) )).++fof(fact_8321,axiom,(+ chea(n374berfremden_1_1,n374berfremdung_1_1) )).++fof(fact_8322,axiom,(+ chea(n374berf__374hren_1_1,n374berf__374hrung_1_1) )).++fof(fact_8323,axiom,(+ chea(n374berf__374hren_1_3,n374berf__374hrung_1_3) )).++fof(fact_8324,axiom,(+ chea(n374berf__374hren_2_1,n374berf__374hrung_1_2) )).++fof(fact_8325,axiom,(+ chea(n374berf__374llen_1_1,n374berf__374llen_2_1) )).++fof(fact_8326,axiom,(+ chea(n374berf__374llen_1_1,n374berf__374llung_1_1) )).++fof(fact_8327,axiom,(+ chea(n374berglasen_1_1,n374berglasung_1_1) )).++fof(fact_8328,axiom,(+ chea(n374bergreifen_1_1,n374bergreifen_2_1) )).++fof(fact_8329,axiom,(+ chea(n374berhandnehmen_1_1,n374berhandnehmen_2_1) )).++fof(fact_8330,axiom,(+ chea(n374berholen_1_2,n374berholung_1_2) )).++fof(fact_8331,axiom,(+ chea(n374berholen_2_1,n374berholung_1_3) )).++fof(fact_8332,axiom,(+ chea(n374berh__344ufen_1_1,n374berh__344ufung_1_1) )).++fof(fact_8333,axiom,(+ chea(n374berh__344ufen_1_1,n374bersch__374ttung_1_1) )).++fof(fact_8334,axiom,(+ chea(n374berh__366hen_1_1,n374berh__366hung_1_1) )).++fof(fact_8335,axiom,(+ chea(n374berh__366ren_1_1,n374berh__366ren_2_1) )).++fof(fact_8336,axiom,(+ chea(n374berkippen_1_1,n374berkippen_2_1) )).++fof(fact_8337,axiom,(+ chea(n374berkleben_1_1,n374berkleben_2_1) )).++fof(fact_8338,axiom,(+ chea(n374berkleiden_1_1,n374berkleidung_1_1) )).++fof(fact_8339,axiom,(+ chea(n374berkompensieren_1_1,hyperkompensation_1_1) )).++fof(fact_8340,axiom,(+ chea(n374berkreuzen_1_1,n374berkreuzen_2_1) )).++fof(fact_8341,axiom,(+ chea(n374berkrusten_1_1,n374berkrusten_2_1) )).++fof(fact_8342,axiom,(+ chea(n374berladen_1_1,n374berladung_1_1) )).++fof(fact_8343,axiom,(+ chea(n374berlappen_1_1,n374berlappen_2_1) )).++fof(fact_8344,axiom,(+ chea(n374berlappen_1_1,n374berlappung_1_1) )).++fof(fact_8345,axiom,(+ chea(n374berlasten_1_2,n374berlastung_1_1) )).++fof(fact_8346,axiom,(+ chea(n374berleben_1_1,n374berleben_2_1) )).++fof(fact_8347,axiom,(+ chea(n374berleiten_1_1,n374berleiten_2_1) )).++fof(fact_8348,axiom,(+ chea(n374berleiten_1_1,n374berleitung_1_1) )).++fof(fact_8349,axiom,(+ chea(n374berlesen_1_1,n374berlesen_2_1) )).++fof(fact_8350,axiom,(+ chea(n374bermitteln_1_1,n374bermitteln_2_1) )).++fof(fact_8351,axiom,(+ chea(n374bermitteln_1_1,n374bermittelung_1_1) )).++fof(fact_8352,axiom,(+ chea(n374bermitteln_1_1,n374bermittlung_1_1) )).++fof(fact_8353,axiom,(+ chea(n374berm__374den_1_1,n374berm__374dung_1_1) )).++fof(fact_8354,axiom,(+ chea(n374bernehmen_1_1,annahme_1_1) )).++fof(fact_8355,axiom,(+ chea(n374berordnen_1_1,n374berordnung_1_1) )).++fof(fact_8356,axiom,(+ chea(n374berorganisieren_1_1,n374berorganisation_1_1) )).++fof(fact_8357,axiom,(+ chea(n374berorganisieren_1_1,n374berorganisierung_1_1) )).++fof(fact_8358,axiom,(+ chea(n374berpflanzen_1_1,n374berpflanzung_1_1) )).++fof(fact_8359,axiom,(+ chea(n374berpr__374fen_1_1,ueberpr__374fung_1_1) )).++fof(fact_8360,axiom,(+ chea(n374berpr__374fen_1_2,n374berpr__374fung_1_2) )).++fof(fact_8361,axiom,(+ chea(n374berquellen_1_1,n374berschwappen_2_1) )).++fof(fact_8362,axiom,(+ chea(n374berqueren_1_1,n374berquerung_1_1) )).++fof(fact_8363,axiom,(+ chea(n374berqueren_1_2,n374berquerung_1_2) )).++fof(fact_8364,axiom,(+ chea(n374berraschen_1_1,n374berraschung_1_1) )).++fof(fact_8365,axiom,(+ chea(n374berraschen_1_2,n374berraschung_1_3) )).++fof(fact_8366,axiom,(+ chea(n374berreichen_1_1,n374berreichen_2_1) )).++fof(fact_8367,axiom,(+ chea(n374berreichen_1_1,n374berreichung_1_1) )).++fof(fact_8368,axiom,(+ chea(n374berreiten_1_1,n374berreiten_2_1) )).++fof(fact_8369,axiom,(+ chea(n374berreizen_1_1,n374berreizung_1_1) )).++fof(fact_8370,axiom,(+ chea(n374berrennen_1_1,n374berrennen_2_1) )).++fof(fact_8371,axiom,(+ chea(n374berrollen_1_2,n374berw__344ltigung_1_1) )).++fof(fact_8372,axiom,(+ chea(n374berschatten_1_1,n374berschattung_1_1) )).++fof(fact_8373,axiom,(+ chea(n374berschauen_1_1,n374berschauen_2_1) )).++fof(fact_8374,axiom,(+ chea(n374berschie__337en_1_1,n374berschie__337en_2_1) )).++fof(fact_8375,axiom,(+ chea(n374berschreiben_1_1,n374berschreibung_1_1) )).++fof(fact_8376,axiom,(+ chea(n374berschreiben_1_2,n374berschreibung_1_2) )).++fof(fact_8377,axiom,(+ chea(n374berschreien_1_1,n374berschreien_2_1) )).++fof(fact_8378,axiom,(+ chea(n374berschreiten_1_1,n374berschreitung_1_1) )).++fof(fact_8379,axiom,(+ chea(n374berschreiten_1_2,n374berschreitung_1_2) )).++fof(fact_8380,axiom,(+ chea(n374berschreiten_1_3,n374berschreitung_1_3) )).++fof(fact_8381,axiom,(+ chea(n374berschulden_1_1,n374berschuldung_1_1) )).++fof(fact_8382,axiom,(+ chea(n374berschwemmen_1_1,flutkatastrophe_1_1) )).++fof(fact_8383,axiom,(+ chea(n374berschwemmen_1_1,n374berschwemmen_2_1) )).++fof(fact_8384,axiom,(+ chea(n374bersch__344tzen_1_1,n374bersch__344tzen_2_1) )).++fof(fact_8385,axiom,(+ chea(n374bersch__344tzen_1_1,n374bersch__344tzung_1_1) )).++fof(fact_8386,axiom,(+ chea(n374bersch__344umen_1_1,n374bersch__344umen_2_1) )).++fof(fact_8387,axiom,(+ chea(n374bersenden_1_1,senden_2_1) )).++fof(fact_8388,axiom,(+ chea(n374bersenden_1_1,n374bersenden_2_1) )).++fof(fact_8389,axiom,(+ chea(n374bersetzen_2_1,n374bersetzung_2_1) )).++fof(fact_8390,axiom,(+ chea(n374bersiedeln_1_1,n374bersiedlung_1_1) )).++fof(fact_8391,axiom,(+ chea(n374bersieden_1_1,n374bersiedung_1_1) )).++fof(fact_8392,axiom,(+ chea(n374berspannen_1_1,stromsto__337_1_1) )).++fof(fact_8393,axiom,(+ chea(n374berspannen_1_1,n374berspannen_2_1) )).++fof(fact_8394,axiom,(+ chea(n374berspitzen_1_1,n374berspitzung_1_1) )).++fof(fact_8395,axiom,(+ chea(n374bersprechen_1_1,n374bersprechen_2_1) )).++fof(fact_8396,axiom,(+ chea(n374bersp__374len_1_1,n374bersp__374len_2_1) )).++fof(fact_8397,axiom,(+ chea(n374bersp__374len_1_1,n374bersp__374lung_1_1) )).++fof(fact_8398,axiom,(+ chea(n374berstrahlen_1_1,n374berstrahlen_2_1) )).++fof(fact_8399,axiom,(+ chea(n374berstreifen_1_1,n374berstreifen_2_1) )).++fof(fact_8400,axiom,(+ chea(n374berst__374lpen_1_1,n374berst__374lpen_2_1) )).++fof(fact_8401,axiom,(+ chea(n374bers__344ttigen_1_1,schwemme_1_1) )).++fof(fact_8402,axiom,(+ chea(n374bertragen_1_2,n374bertragung_1_2) )).++fof(fact_8403,axiom,(+ chea(n374bertreffen_1_1,n374bertreffen_2_1) )).++fof(fact_8404,axiom,(+ chea(n374bertreffen_1_1,n374bertreffung_1_1) )).++fof(fact_8405,axiom,(+ chea(n374bertreten_1_1,n374bertretung_1_1) )).++fof(fact_8406,axiom,(+ chea(n374bertreten_2_2,n374bertretung_1_3) )).++fof(fact_8407,axiom,(+ chea(n374bert__344uben_1_1,n374bert__344ubung_1_1) )).++fof(fact_8408,axiom,(+ chea(n374bert__366nen_1_1,n374bert__366nung_1_1) )).++fof(fact_8409,axiom,(+ chea(n374bert__374nchen_1_1,n374bert__374nchen_2_1) )).++fof(fact_8410,axiom,(+ chea(n374berwachen_1_1,kontrolle_1_1) )).++fof(fact_8411,axiom,(+ chea(n374berwachen_1_1,n374berwachen_2_1) )).++fof(fact_8412,axiom,(+ chea(n374berwachsen_1_1,n374berwachsung_1_1) )).++fof(fact_8413,axiom,(+ chea(n374berwalzen_1_1,n374berwalzung_1_1) )).++fof(fact_8414,axiom,(+ chea(n374berwechseln_1_1,n374berwechseln_2_1) )).++fof(fact_8415,axiom,(+ chea(n374berwei__337en_1_1,n374berwei__337ung_1_1) )).++fof(fact_8416,axiom,(+ chea(n374berwerten_1_1,n374berwertung_1_1) )).++fof(fact_8417,axiom,(+ chea(n374berwinden_1_2,n374berwindung_1_2) )).++fof(fact_8418,axiom,(+ chea(n374berwintern_1_1,n374berwinterung_1_1) )).++fof(fact_8419,axiom,(+ chea(n374berwintern_1_2,n374berwinterung_1_2) )).++fof(fact_8420,axiom,(+ chea(n374berw__344ltigen_1_2,n374berw__344ltigung_1_2) )).++fof(fact_8421,axiom,(+ chea(n374berw__344lzen_1_1,n374berw__344lzen_2_1) )).++fof(fact_8422,axiom,(+ chea(n374berw__344lzen_1_1,n374berw__344lzung_1_1) )).++fof(fact_8423,axiom,(+ chea(n374berw__366lben_1_1,n374berw__366lben_2_1) )).++fof(fact_8424,axiom,(+ chea(n374berw__366lben_1_1,n374berw__366lbung_1_1) )).++fof(fact_8425,axiom,(+ chea(n374berzahlen_1_1,n374berbezahlung_1_1) )).++fof(fact_8426,axiom,(+ chea(n374berzeichnen_1_1,n374berzeichnung_1_1) )).++fof(fact_8427,axiom,(+ chea(n374berz__344hlen_1_1,n374berz__344hlung_1_1) )).++fof(fact_8428,axiom,(+ chps(abh__344ngig_1_1,abh__344ngigkeit_1_1) )).++fof(fact_8429,axiom,(+ chps(allergisch_1_1,allergie_1_1) )).++fof(fact_8430,axiom,(+ chps(analog_1_1,analogie__1_1) )).++fof(fact_8431,axiom,(+ chps(anwesend_1_1,disponibilit__344t_1_1) )).++fof(fact_8432,axiom,(+ chps(arglistig_1_1,rechtswidrigkeit_1_1) )).++fof(fact_8433,axiom,(+ chps(bankrott_2_1,bankrott_1_1) )).++fof(fact_8434,axiom,(+ chps(begehrlich_1_1,begierde_1_1) )).++fof(fact_8435,axiom,(+ chps(bereit_1_1,bereitschaft_1_1) )).++fof(fact_8436,axiom,(+ chps(bestimmend_1_1,charakteristik_1_1) )).++fof(fact_8437,axiom,(+ chps(erpicht_1_1,erpichtsein_1_1) )).++fof(fact_8438,axiom,(+ chps(gebunden_1_1,h__366rigkeit_1_1) )).++fof(fact_8439,axiom,(+ chps(gleichgerichtet_1_1,gleichzeitigkeit_1_1) )).++fof(fact_8440,axiom,(+ chps(hypernerv__366s_1_1,hysterie_1_1) )).++fof(fact_8441,axiom,(+ chps(kleinst__344dtisch_1_1,provinzialit__344t_1_1) )).++fof(fact_8442,axiom,(+ chps(oberfl__344chlich_1_1,oberfl__344chlichkeit_1_1) )).++fof(fact_8443,axiom,(+ chps(perspektivlos_1_1,perspektivlosigkeit_1_1) )).++fof(fact_8444,axiom,(+ chps(sauber_1_1,sauberkeit_1_1) )).++fof(fact_8445,axiom,(+ chps(unabh__344ngig_1_1,autonomie__1_1) )).++fof(fact_8446,axiom,(+ chps(uneinig_1_1,uneinigkeit_1_1) )).++fof(fact_8447,axiom,(+ chps(zufrieden_1_1,satisfaktion_1_1) )).++fof(fact_8448,axiom,(+ chsa(am__374sieren_1_1,vergn__374gung_1_1) )).++fof(fact_8449,axiom,(+ chsa(anziehen_1_2,anziehung_1_1) )).++fof(fact_8450,axiom,(+ chsa(auseinandersetzen_1_4,auseinandersetzung_1_4) )).++fof(fact_8451,axiom,(+ chsa(ausf__374llen_1_2,ausf__374llung_1_2) )).++fof(fact_8452,axiom,(+ chsa(bef__344higen_1_1,bef__344higung_1_1) )).++fof(fact_8453,axiom,(+ chsa(bef__374rchten_1_1,bef__374rchtung_1_1) )).++fof(fact_8454,axiom,(+ chsa(begrenzen_1_2,begrenzung_1_2) )).++fof(fact_8455,axiom,(+ chsa(behindern_1_1,behinderung_1_2) )).++fof(fact_8456,axiom,(+ chsa(beibehalten_1_1,beibehalten_2_1) )).++fof(fact_8457,axiom,(+ chsa(belasten_1_1,beladen_2_1) )).++fof(fact_8458,axiom,(+ chsa(beleuchten_1_4,beleuchtung_1_4) )).++fof(fact_8459,axiom,(+ chsa(bemessen_1_2,bemessung_1_2) )).++fof(fact_8460,axiom,(+ chsa(berechtigen_1_1,berechtigung_1_2) )).++fof(fact_8461,axiom,(+ chsa(ber__374cksichtigen_1_2,ber__374cksichtigung_1_2) )).++fof(fact_8462,axiom,(+ chsa(beschreiben_1_2,beschreibung_1_2) )).++fof(fact_8463,axiom,(+ chsa(betonen_1_2,betonung_1_2) )).++fof(fact_8464,axiom,(+ chsa(betrachten_1_1,betrachtung_1_1) )).++fof(fact_8465,axiom,(+ chsa(bewundern_1_1,bewunderung_1_1) )).++fof(fact_8466,axiom,(+ chsa(darstellen_1_2,darstellung_1_2) )).++fof(fact_8467,axiom,(+ chsa(darstellen_1_3,repr__344sentation_1_2) )).++fof(fact_8468,axiom,(+ chsa(darstellen_1_4,repr__344sentanz_1_1) )).++fof(fact_8469,axiom,(+ chsa(dasein_1_1,da_sein_4_1) )).++fof(fact_8470,axiom,(+ chsa(decken_1_3,deckung_1_3) )).++fof(fact_8471,axiom,(+ chsa(diskutieren_1_2,diskussion_1_2) )).++fof(fact_8472,axiom,(+ chsa(disponieren_1_1,verf__374gung_3_1) )).++fof(fact_8473,axiom,(+ chsa(distg_0,unterscheidung_1_3) )).++fof(fact_8474,axiom,(+ chsa(d__344mpfen_1_2,d__344mpfung_1_1) )).++fof(fact_8475,axiom,(+ chsa(eignen_1_1,eignung_1_1) )).++fof(fact_8476,axiom,(+ chsa(eignen_1_2,eignung_1_2) )).++fof(fact_8477,axiom,(+ chsa(empfinden_1_1,empfindung_1_1) )).++fof(fact_8478,axiom,(+ chsa(enden_1_3,endung_1_1) )).++fof(fact_8479,axiom,(+ chsa(erinnern_2_1,erinnerung_1_2) )).++fof(fact_8480,axiom,(+ chsa(erkl__344ren_1_2,erkl__344rung_1_2) )).++fof(fact_8481,axiom,(+ chsa(erlauben_1_2,erm__366glichung_1_2) )).++fof(fact_8482,axiom,(+ chsa(erschweren_1_1,erschwerung_1_1) )).++fof(fact_8483,axiom,(+ chsa(ersetzen_1_2,ersetzung_1_2) )).++fof(fact_8484,axiom,(+ chsa(erstrecken_1_1,erstreckung_1_1) )).++fof(fact_8485,axiom,(+ chsa(erstrecken_1_2,erstreckung_1_2) )).++fof(fact_8486,axiom,(+ chsa(erwarten_1_3,erwartung_1_1) )).++fof(fact_8487,axiom,(+ chsa(flankieren_1_1,flankierung_1_1) )).++fof(fact_8488,axiom,(+ chsa(f__374hren_1_4,f__374hrung_1_2) )).++fof(fact_8489,axiom,(+ chsa(gliedern_1_2,gliederung_1_2) )).++fof(fact_8490,axiom,(+ chsa(haften_1_2,haftung_1_2) )).++fof(fact_8491,axiom,(+ chsa(herausarbeiten_1_3,herausarbeitung_1_3) )).++fof(fact_8492,axiom,(+ chsa(hinweisen_1_1,verweisung_1_1) )).++fof(fact_8493,axiom,(+ chsa(identifizieren_1_2,identifikation_1_1) )).++fof(fact_8494,axiom,(+ chsa(konzentrieren_1_2,konzentration_1_2) )).++fof(fact_8495,axiom,(+ chsa(kr__366nen_1_2,kr__366nung_1_2) )).++fof(fact_8496,axiom,(+ chsa(kumulieren_1_1,kumulation_1_1) )).++fof(fact_8497,axiom,(+ chsa(lagern_1_1,lagerung_1_2) )).++fof(fact_8498,axiom,(+ chsa(miefen_1_1,gestank_1_1) )).++fof(fact_8499,axiom,(+ chsa(mutma__337en_1_1,mutma__337ung_1_1) )).++fof(fact_8500,axiom,(+ chsa(neigen_1_1,geneigtheit_1_1) )).++fof(fact_8501,axiom,(+ chsa(orientieren_1_4,orientierung_1_4) )).++fof(fact_8502,axiom,(+ chsa(personifizieren_1_1,personalisierung_1_1) )).++fof(fact_8503,axiom,(+ chsa(rechtfertigen_2_1,rechtfertigung_1_2) )).++fof(fact_8504,axiom,(+ chsa(reflektieren_1_1,reflexion_1_1) )).++fof(fact_8505,axiom,(+ chsa(resignieren_1_1,resignation_1_1) )).++fof(fact_8506,axiom,(+ chsa(schm__374cken_1_2,schm__374ckung_1_2) )).++fof(fact_8507,axiom,(+ chsa(skizzieren_1_2,skizzierung_1_2) )).++fof(fact_8508,axiom,(+ chsa(stimulieren_1_2,stimulation_1_2) )).++fof(fact_8509,axiom,(+ chsa(stimulieren_1_2,stimulierung_1_2) )).++fof(fact_8510,axiom,(+ chsa(st__374tzen_1_2,st__374tzung_1_2) )).++fof(fact_8511,axiom,(+ chsa(symbolisieren_1_1,verk__366rperung_1_1) )).++fof(fact_8512,axiom,(+ chsa(teilhaben_1_1,einbindung_1_1) )).++fof(fact_8513,axiom,(+ chsa(umringen_1_1,umschlie__337ung_1_1) )).++fof(fact_8514,axiom,(+ chsa(umschreiben_1_2,umschreibung_1_2) )).++fof(fact_8515,axiom,(+ chsa(unterscheiden_1_2,unterscheidung_1_2) )).++fof(fact_8516,axiom,(+ chsa(verabscheuen_1_1,verabscheuung_1_1) )).++fof(fact_8517,axiom,(+ chsa(verachten_1_1,verachtung_1_1) )).++fof(fact_8518,axiom,(+ chsa(verbrennen_2_1,verbrennung_1_3) )).++fof(fact_8519,axiom,(+ chsa(verb__374__337en_1_1,verb__374__337ung_1_1) )).++fof(fact_8520,axiom,(+ chsa(verdeutlichen_1_1,verdeutlichung_1_1) )).++fof(fact_8521,axiom,(+ chsa(verf__374gen_1_1,verf__374gung_2_1) )).++fof(fact_8522,axiom,(+ chsa(verhei__337en_1_1,verhei__337ung_1_1) )).++fof(fact_8523,axiom,(+ chsa(verhindern_1_1,verhinderung_1_1) )).++fof(fact_8524,axiom,(+ chsa(vermuten_1_1,vermutung_1_2) )).++fof(fact_8525,axiom,(+ chsa(verschleppen_1_2,verschleppung_1_2) )).++fof(fact_8526,axiom,(+ chsa(vorsehen_1_1,vorsehung_1_1) )).++fof(fact_8527,axiom,(+ chsa(vorstellen_2_1,auffassung_1_1) )).++fof(fact_8528,axiom,(+ chsa(wirken_1_1,wirksamkeit_1_1) )).++fof(fact_8529,axiom,(+ chsa(wittern_1_1,wet_ter_1_1) )).++fof(fact_8530,axiom,(+ chsa(w__366lben_1_1,w__366lbung_1_1) )).++fof(fact_8531,axiom,(+ chsa(w__366lben_1_2,w__366lbung_1_2) )).++fof(fact_8532,axiom,(+ chsa(w__374nschen_1_1,wunsch_1_1) )).++fof(fact_8533,axiom,(+ chsa(zulassen_1_4,zulassung_1_3) )).++fof(fact_8534,axiom,(+ chsa(zur__374ckhalten_1_2,zur__374ckhaltung_1_2) )).++fof(fact_8535,axiom,(+ chsa(zusammenf__374hren_1_1,zusammenf__374hrung_1_1) )).++fof(fact_8536,axiom,(+ chsa(zusammensetzen_1_3,zusammensetzung_1_1) )).++fof(fact_8537,axiom,(+ chsa(n374berbieten_1_2,n374berbietung_1_2) )).++fof(fact_8538,axiom,(+ chsa(n374berdecken_1_1,n374berdeckung_1_1) )).++fof(fact_8539,axiom,(+ chsa(n374bereinstimmen_1_1,n374bereinstimmung_1_2) )).++fof(fact_8540,axiom,(+ chsa(n374berlagern_1_1,n374berlagerung_1_1) )).++fof(fact_8541,axiom,(+ chsa(n374berlappen_1_1,n374berschneidung_1_2) )).++fof(fact_8542,axiom,(+ chsa(n374berschneiden_1_1,n374berschneidung_1_1) )).++fof(fact_8543,axiom,(+ chsp2(geboren_1_1,geb__344ren_1_1) )).++fof(fact_8544,axiom,(+ distrib_obj(erleben_1_1,dummy_0) )).++fof(fact_8545,axiom,(+ impl(abgebr__374ht__1_1,beinhart_1_1) )).++fof(fact_8546,axiom,(+ impl(abgebr__374ht__1_1,erfahren_2_1) )).++fof(fact_8547,axiom,(+ impl(abscheulich_1_1,unangenehm_1_1) )).++fof(fact_8548,axiom,(+ impl(adoleszent_1_1,jugendlich_1_1) )).++fof(fact_8549,axiom,(+ impl(aleatorisch_1_1,ausl__344ndisch_1_1) )).++fof(fact_8550,axiom,(+ impl(altert__374mlich_1_1,alt_1_1) )).++fof(fact_8551,axiom,(+ impl(althergebracht_1_1,alt_1_1) )).++fof(fact_8552,axiom,(+ impl(altruistisch_1_1,ehrenwert_1_1) )).++fof(fact_8553,axiom,(+ impl(antiquarisch_1_1,alt_1_1) )).++fof(fact_8554,axiom,(+ impl(arm_2_1,bed__374rftig_1_1) )).++fof(fact_8555,axiom,(+ impl(aufgebracht_1_1,sauer_1_1) )).++fof(fact_8556,axiom,(+ impl(aufwendig_1_1,kostenintensiv_1_1) )).++fof(fact_8557,axiom,(+ impl(ausl__344nderfeindlich_1_1,diskriminierend_1_1) )).++fof(fact_8558,axiom,(+ impl(ausl__344ndisch_1_1,unklar_1_1) )).++fof(fact_8559,axiom,(+ impl(bahnbrechend_1_1,fortschrittlich_1_1) )).++fof(fact_8560,axiom,(+ impl(barsch_1_1,unfreundlich) )).++fof(fact_8561,axiom,(+ impl(befremdlich_1_1,komisch_1_1) )).++fof(fact_8562,axiom,(+ impl(bek__366mmlich_1_1,leicht_1_1) )).++fof(fact_8563,axiom,(+ impl(best__374rzt_1_1,verlegen_3_1) )).++fof(fact_8564,axiom,(+ impl(bitterkalt_1_1,bitterkalt_1_1) )).++fof(fact_8565,axiom,(+ impl(bolschewistisch_1_1,sozialistisch_1_1) )).++fof(fact_8566,axiom,(+ impl(brutal_1_1,emotionskalt_1_1) )).++fof(fact_8567,axiom,(+ impl(chaotisch_1_1,ausl__344ndisch_1_1) )).++fof(fact_8568,axiom,(+ impl(chauvinistisch__1_1,erzkonservativ_1_1) )).++fof(fact_8569,axiom,(+ impl(chauvinistisch__1_1,national__1_1) )).++fof(fact_8570,axiom,(+ impl(clownesk_1_1,am__374sant_1_1) )).++fof(fact_8571,axiom,(+ impl(clownesk_1_1,schauspielhaft_1_1) )).++fof(fact_8572,axiom,(+ impl(delikat_1_1,schwer_1_1) )).++fof(fact_8573,axiom,(+ impl(dickk__366pfig_1_1,eigenm__344chtig_1_1) )).++fof(fact_8574,axiom,(+ impl(direkt_1_1,fix_1_2) )).++fof(fact_8575,axiom,(+ impl(di__344tetisch_1_1,leicht_1_1) )).++fof(fact_8576,axiom,(+ impl(ehemalig_1_1,fr__374h_1_1) )).++fof(fact_8577,axiom,(+ impl(eigenm__344chtig_1_1,individuell__1_1) )).++fof(fact_8578,axiom,(+ impl(eigenst__344ndig_1_1,frisch_1_1) )).++fof(fact_8579,axiom,(+ impl(eigenst__344ndig_1_1,neo_1_1) )).++fof(fact_8580,axiom,(+ impl(eigenst__344ndig_1_1,ungewohnt_1_1) )).++fof(fact_8581,axiom,(+ impl(einfach_1_1,leicht_1_1) )).++fof(fact_8582,axiom,(+ impl(einleuchtend_1_1,klar_1_1) )).++fof(fact_8583,axiom,(+ impl(elementar_1_1,einfach_1_1) )).++fof(fact_8584,axiom,(+ impl(elementar_1_1,elementar_1_1) )).++fof(fact_8585,axiom,(+ impl(emotionskalt_1_1,bitterkalt_1_1) )).++fof(fact_8586,axiom,(+ impl(endlos_1_1,unermesslich_1_1) )).++fof(fact_8587,axiom,(+ impl(endlos_1_1,unz__344hlig_1_1) )).++fof(fact_8588,axiom,(+ impl(entgegengesetzt_1_1,befremdlich_1_1) )).++fof(fact_8589,axiom,(+ impl(erzkonservativ_1_1,konservativ__1_1) )).++fof(fact_8590,axiom,(+ impl(fabrikneu_1_1,neo_1_1) )).++fof(fact_8591,axiom,(+ impl(fortschrittlich_1_1,aktuell_1_1) )).++fof(fact_8592,axiom,(+ impl(fortschrittlich_1_1,eigenst__344ndig_1_1) )).++fof(fact_8593,axiom,(+ impl(gefahrentr__344chtig_1_1,ausl__344ndisch_1_1) )).++fof(fact_8594,axiom,(+ impl(gefahrentr__344chtig_1_1,bedenklich_1_1) )).++fof(fact_8595,axiom,(+ impl(gefahrentr__344chtig_1_1,bedrohlich_1_1) )).++fof(fact_8596,axiom,(+ impl(gesamt_1_1,ganz_1_1) )).++fof(fact_8597,axiom,(+ impl(gutb__374rgerlich_1_1,b__374rgerlich__1_1) )).++fof(fact_8598,axiom,(+ impl(halsbrecherisch_1_1,gefahrentr__344chtig_1_1) )).++fof(fact_8599,axiom,(+ impl(impertinent_1_1,arglistig_1_1) )).++fof(fact_8600,axiom,(+ impl(islamistisch_1_1,extrem__1_1) )).++fof(fact_8601,axiom,(+ impl(islamistisch_1_1,islamisch__1_1) )).++fof(fact_8602,axiom,(+ impl(kauzig_1_1,befremdlich_1_1) )).++fof(fact_8603,axiom,(+ impl(kauzig_1_1,eigenm__344chtig_1_1) )).++fof(fact_8604,axiom,(+ impl(lebenl__344nglich_1_1,jahrelang_1_1) )).++fof(fact_8605,axiom,(+ impl(leichtgewichtig,leicht) )).++fof(fact_8606,axiom,(+ impl(m__374helos_1_1,einfach_1_1) )).++fof(fact_8607,axiom,(+ impl(naheliegend_1_1,einfach_1_1) )).++fof(fact_8608,axiom,(+ impl(national__1_1,konservativ__1_1) )).++fof(fact_8609,axiom,(+ impl(national__1_1,patriotisch__1_1) )).++fof(fact_8610,axiom,(+ impl(nationalpolitisch_1_1,politisch__1_1) )).++fof(fact_8611,axiom,(+ impl(neonazistisch_1_1,ausl__344nderfeindlich_1_1) )).++fof(fact_8612,axiom,(+ impl(neonazistisch_1_1,rechtsgerichtet_1_1) )).++fof(fact_8613,axiom,(+ impl(notleidend_1_1,bed__374rftig_1_1) )).++fof(fact_8614,axiom,(+ impl(profund_1_1,hintergr__374ndig_1_1) )).++fof(fact_8615,axiom,(+ impl(pubertierend_1_1,jugendlich_1_1) )).++fof(fact_8616,axiom,(+ impl(ruin__366s_1_1,kostenintensiv_1_1) )).++fof(fact_8617,axiom,(+ impl(rundherum_1_1,ganz_1_1) )).++fof(fact_8618,axiom,(+ impl(schadenfroh_1_1,arglistig_1_1) )).++fof(fact_8619,axiom,(+ impl(sparsam_1_1,wirtschaftlich_1_1) )).++fof(fact_8620,axiom,(+ impl(unerfahren_1_1,neo_1_1) )).++fof(fact_8621,axiom,(+ impl(untergeordnet_1_1,gering__1_1) )).++fof(fact_8622,axiom,(+ impl(unverst__344ndlich_1_1,unklar_1_1) )).++fof(fact_8623,axiom,(+ local_in_stereotype(sekretariat_1_1,stadt__1_1) )).++fof(fact_8624,axiom,(+ local_in_stereotype(stadt__1_1,land_1_1) )).++fof(fact_8625,axiom,(+ named_entity_type(cdu_0,partei_1_1) )).++fof(fact_8626,axiom,(+ named_entity_type(csu_0,partei_1_1) )).++fof(fact_8627,axiom,(+ named_entity_type(eu_0,organisation_1_1) )).++fof(fact_8628,axiom,(+ named_entity_type(fdp_0,partei_1_1) )).++fof(fact_8629,axiom,(+ named_entity_type(kpd_0,partei_1_1) )).++fof(fact_8630,axiom,(+ named_entity_type(l__344ndergemeinschaft_1_1,organisation_1_1) )).++fof(fact_8631,axiom,(+ named_entity_type(oas_0,organisation_1_1) )).++fof(fact_8632,axiom,(+ named_entity_type(spd_0,partei_1_1) )).++fof(fact_8633,axiom,(+ ort_adjektiv_ort(m__374nchener_1_1,m__374nchen_0) )).++fof(fact_8634,axiom,(+ ort_adjektiv_ort(salzburger_1_1,salzburg_0) )).++fof(fact_8635,axiom,(+ partei_adj_partei(sozialdemokratisch__1_1,spd_0) )).++fof(fact_8636,axiom,(+ purp(lebenshaus_1_1,leben_2_5) )).++fof(fact_8637,axiom,(+ scarrel(besitzen_1_1,besitzer__1_1) )).++fof(fact_8638,axiom,(+ state_adjective_inhabitant_binding(t__374rkisch_1_1,t__374rke_1_1) )).++fof(fact_8639,axiom,(+ state_adjective_inhabitant_binding(afghanisch__1_1,afghane_1_1) )).++fof(fact_8640,axiom,(+ state_adjective_inhabitant_binding(albanisch__1_1,albaner__1_1) )).++fof(fact_8641,axiom,(+ state_adjective_inhabitant_binding(algerisch_1_1,algerier_1_1) )).++fof(fact_8642,axiom,(+ state_adjective_inhabitant_binding(amerikanisch__1_1,amerikaner_1_1) )).++fof(fact_8643,axiom,(+ state_adjective_inhabitant_binding(andorranisch_1_1,andorraner_1_1) )).++fof(fact_8644,axiom,(+ state_adjective_inhabitant_binding(angolanisch_1_1,angolaner_1_1) )).++fof(fact_8645,axiom,(+ state_adjective_inhabitant_binding(antiguanisch_1_1,antiguaner_1_1) )).++fof(fact_8646,axiom,(+ state_adjective_inhabitant_binding(argentinisch__1_1,argentinier_1_1) )).++fof(fact_8647,axiom,(+ state_adjective_inhabitant_binding(armenisch_1_1,armenier_1_1) )).++fof(fact_8648,axiom,(+ state_adjective_inhabitant_binding(aserbaidschanisch_1_1,aserbaidschaner_1_1) )).++fof(fact_8649,axiom,(+ state_adjective_inhabitant_binding(australisch__1_1,australier_1_1) )).++fof(fact_8650,axiom,(+ state_adjective_inhabitant_binding(bahamaisch_1_1,baham__344r_1_1) )).++fof(fact_8651,axiom,(+ state_adjective_inhabitant_binding(bahrainisch_1_1,bahrainer_1_1) )).++fof(fact_8652,axiom,(+ state_adjective_inhabitant_binding(bangladeschisch_1_1,bangladescher_1_1) )).++fof(fact_8653,axiom,(+ state_adjective_inhabitant_binding(barbadisch_1_1,barbadier_1_1) )).++fof(fact_8654,axiom,(+ state_adjective_inhabitant_binding(belgisch_1_1,belgier_1_1) )).++fof(fact_8655,axiom,(+ state_adjective_inhabitant_binding(belizisch_1_1,belizer_1_1) )).++fof(fact_8656,axiom,(+ state_adjective_inhabitant_binding(beninisch_1_1,beniner_1_1) )).++fof(fact_8657,axiom,(+ state_adjective_inhabitant_binding(bhutanisch_1_1,bhutaner_1_1) )).++fof(fact_8658,axiom,(+ state_adjective_inhabitant_binding(birmanisch_1_1,birmaner_1_1) )).++fof(fact_8659,axiom,(+ state_adjective_inhabitant_binding(bolivianisch_1_1,bolivianer_1_1) )).++fof(fact_8660,axiom,(+ state_adjective_inhabitant_binding(botsuanisch_1_1,botsuaner_1_1) )).++fof(fact_8661,axiom,(+ state_adjective_inhabitant_binding(brasilianisch_1_1,brasilianer_1_1) )).++fof(fact_8662,axiom,(+ state_adjective_inhabitant_binding(britisch__1_1,brite_1_1) )).++fof(fact_8663,axiom,(+ state_adjective_inhabitant_binding(bruneiisch_1_1,bruneier_1_1) )).++fof(fact_8664,axiom,(+ state_adjective_inhabitant_binding(bulgarisch__1_1,bulgare_1_1) )).++fof(fact_8665,axiom,(+ state_adjective_inhabitant_binding(bundesdeutsch_1_1,deutsche_1_1) )).++fof(fact_8666,axiom,(+ state_adjective_inhabitant_binding(burkinisch_1_1,burkiner_1_1) )).++fof(fact_8667,axiom,(+ state_adjective_inhabitant_binding(burundisch__1_1,burundier_1_1) )).++fof(fact_8668,axiom,(+ state_adjective_inhabitant_binding(chilenisch_1_1,chilene_1_1) )).++fof(fact_8669,axiom,(+ state_adjective_inhabitant_binding(chinesisch__1_1,chinese_1_1) )).++fof(fact_8670,axiom,(+ state_adjective_inhabitant_binding(costaricanisch_1_1,costa_ricaner_1_1) )).++fof(fact_8671,axiom,(+ state_adjective_inhabitant_binding(cubanisch_1_1,kubaner_1_1) )).++fof(fact_8672,axiom,(+ state_adjective_inhabitant_binding(dominicanisch_1_1,dominicaner_1_1) )).++fof(fact_8673,axiom,(+ state_adjective_inhabitant_binding(dominikanisch_1_1,dominikaner__1_1) )).++fof(fact_8674,axiom,(+ state_adjective_inhabitant_binding(dschibutisch_1_1,dschibutier_1_1) )).++fof(fact_8675,axiom,(+ state_adjective_inhabitant_binding(d__344nisch_1_1,d__344ne_1_1) )).++fof(fact_8676,axiom,(+ state_adjective_inhabitant_binding(ecuadorianisch_1_1,ecuadorianer_1_1) )).++fof(fact_8677,axiom,(+ state_adjective_inhabitant_binding(eritreisch_1_1,eritreer_1_1) )).++fof(fact_8678,axiom,(+ state_adjective_inhabitant_binding(estnisch_1_1,este_1_1) )).++fof(fact_8679,axiom,(+ state_adjective_inhabitant_binding(fidschianisch_1_1,fidschianer_1_1) )).++fof(fact_8680,axiom,(+ state_adjective_inhabitant_binding(finnisch__1_1,finne_1_1) )).++fof(fact_8681,axiom,(+ state_adjective_inhabitant_binding(franko_1_1,franzose_1_1) )).++fof(fact_8682,axiom,(+ state_adjective_inhabitant_binding(gabunisch_1_1,gabuner_1_1) )).++fof(fact_8683,axiom,(+ state_adjective_inhabitant_binding(gambisch_1_1,gambier__1_1) )).++fof(fact_8684,axiom,(+ state_adjective_inhabitant_binding(georgisch__1_1,georgier_1_1) )).++fof(fact_8685,axiom,(+ state_adjective_inhabitant_binding(ghanaisch_1_1,ghan__344r_1_1) )).++fof(fact_8686,axiom,(+ state_adjective_inhabitant_binding(grenadisch_1_1,grenader_1_1) )).++fof(fact_8687,axiom,(+ state_adjective_inhabitant_binding(griechisch__1_1,grieche_1_1) )).++fof(fact_8688,axiom,(+ state_adjective_inhabitant_binding(guatemaltekisch_1_1,guatemalteke_1_1) )).++fof(fact_8689,axiom,(+ state_adjective_inhabitant_binding(guinea_bissauisch_1_1,guinea_bissauer_1_1) )).++fof(fact_8690,axiom,(+ state_adjective_inhabitant_binding(guineisch__1_1,guineer_1_1) )).++fof(fact_8691,axiom,(+ state_adjective_inhabitant_binding(guyanisch_1_1,guyaner_1_1) )).++fof(fact_8692,axiom,(+ state_adjective_inhabitant_binding(haitianisch__1_1,haitianer_1_1) )).++fof(fact_8693,axiom,(+ state_adjective_inhabitant_binding(holl__344ndisch__1_1,holl__344nder_1_1) )).++fof(fact_8694,axiom,(+ state_adjective_inhabitant_binding(honduranisch_1_1,honduraner_1_1) )).++fof(fact_8695,axiom,(+ state_adjective_inhabitant_binding(indisch__1_1,inder_1_1) )).++fof(fact_8696,axiom,(+ state_adjective_inhabitant_binding(indonesisch_1_1,indonesier_1_1) )).++fof(fact_8697,axiom,(+ state_adjective_inhabitant_binding(irakisch__1_1,iraker_1_1) )).++fof(fact_8698,axiom,(+ state_adjective_inhabitant_binding(irakisch__1_1,iraner_1_1) )).++fof(fact_8699,axiom,(+ state_adjective_inhabitant_binding(irisch__1_1,ire_1_1) )).++fof(fact_8700,axiom,(+ state_adjective_inhabitant_binding(isl__344ndisch_1_1,isl__344nder_1_1) )).++fof(fact_8701,axiom,(+ state_adjective_inhabitant_binding(israelisch__1_1,israeli_1_1) )).++fof(fact_8702,axiom,(+ state_adjective_inhabitant_binding(italienisch__1_1,italiener_1_1) )).++fof(fact_8703,axiom,(+ state_adjective_inhabitant_binding(ivorisch_1_1,ivorer_1_1) )).++fof(fact_8704,axiom,(+ state_adjective_inhabitant_binding(jamaikanisch_1_1,jamaikaner_1_1) )).++fof(fact_8705,axiom,(+ state_adjective_inhabitant_binding(japanisch__1_1,japaner_1_1) )).++fof(fact_8706,axiom,(+ state_adjective_inhabitant_binding(jemenitisch_1_1,jemenit_1_1) )).++fof(fact_8707,axiom,(+ state_adjective_inhabitant_binding(jordanisch__1_1,jordanier_1_1) )).++fof(fact_8708,axiom,(+ state_adjective_inhabitant_binding(jugoslawisch_1_1,jugoslawe_1_1) )).++fof(fact_8709,axiom,(+ state_adjective_inhabitant_binding(kambodschanisch_1_1,kambodschaner_1_1) )).++fof(fact_8710,axiom,(+ state_adjective_inhabitant_binding(kamerunisch_1_1,kameruner_1_1) )).++fof(fact_8711,axiom,(+ state_adjective_inhabitant_binding(kanadisch__1_1,kanadier_1_1) )).++fof(fact_8712,axiom,(+ state_adjective_inhabitant_binding(kapverdisch_1_1,kapverdier_1_1) )).++fof(fact_8713,axiom,(+ state_adjective_inhabitant_binding(kasachisch_1_1,kasache_1_1) )).++fof(fact_8714,axiom,(+ state_adjective_inhabitant_binding(katarisch_1_1,katarer_1_1) )).++fof(fact_8715,axiom,(+ state_adjective_inhabitant_binding(kenianisch_1_1,kenianer_1_1) )).++fof(fact_8716,axiom,(+ state_adjective_inhabitant_binding(kirgisisch_1_1,kirgise_1_1) )).++fof(fact_8717,axiom,(+ state_adjective_inhabitant_binding(kiribatisch_1_1,kiribatier_1_1) )).++fof(fact_8718,axiom,(+ state_adjective_inhabitant_binding(kolumbianisch_1_1,kolumbianer_1_1) )).++fof(fact_8719,axiom,(+ state_adjective_inhabitant_binding(komorisch_1_1,komorer_1_1) )).++fof(fact_8720,axiom,(+ state_adjective_inhabitant_binding(kongolesisch_1_1,kongolese_1_1) )).++fof(fact_8721,axiom,(+ state_adjective_inhabitant_binding(kroatisch__1_1,kroate_1_1) )).++fof(fact_8722,axiom,(+ state_adjective_inhabitant_binding(kuwaitisch_1_1,kuwaiter_1_1) )).++fof(fact_8723,axiom,(+ state_adjective_inhabitant_binding(laotisch_1_1,laote_1_1) )).++fof(fact_8724,axiom,(+ state_adjective_inhabitant_binding(lesothisch_1_1,lesother_1_1) )).++fof(fact_8725,axiom,(+ state_adjective_inhabitant_binding(lettisch__1_1,lette_1_1) )).++fof(fact_8726,axiom,(+ state_adjective_inhabitant_binding(libanesisch_1_1,libanese_1_1) )).++fof(fact_8727,axiom,(+ state_adjective_inhabitant_binding(liberianisch_1_1,liberianer_1_1) )).++fof(fact_8728,axiom,(+ state_adjective_inhabitant_binding(libysch_1_1,libyer_1_1) )).++fof(fact_8729,axiom,(+ state_adjective_inhabitant_binding(liechtensteinisch_1_1,liechtensteiner_1_1) )).++fof(fact_8730,axiom,(+ state_adjective_inhabitant_binding(litauisch_1_1,litauer_1_1) )).++fof(fact_8731,axiom,(+ state_adjective_inhabitant_binding(lucianisch_1_1,lucianer_1_1) )).++fof(fact_8732,axiom,(+ state_adjective_inhabitant_binding(luxemburgisch_1_1,luxemburger_1_1) )).++fof(fact_8733,axiom,(+ state_adjective_inhabitant_binding(madagassisch_1_1,madagasse_1_1) )).++fof(fact_8734,axiom,(+ state_adjective_inhabitant_binding(makedonisch_1_1,makedonier_1_1) )).++fof(fact_8735,axiom,(+ state_adjective_inhabitant_binding(malawisch_1_1,malawier_1_1) )).++fof(fact_8736,axiom,(+ state_adjective_inhabitant_binding(malaysisch_1_1,malaysier_1_1) )).++fof(fact_8737,axiom,(+ state_adjective_inhabitant_binding(maledivisch_1_1,malediver_1_1) )).++fof(fact_8738,axiom,(+ state_adjective_inhabitant_binding(malisch_1_1,malier_1_1) )).++fof(fact_8739,axiom,(+ state_adjective_inhabitant_binding(maltesisch_1_1,malteser_1_1) )).++fof(fact_8740,axiom,(+ state_adjective_inhabitant_binding(marokkanisch_1_1,marokkaner_1_1) )).++fof(fact_8741,axiom,(+ state_adjective_inhabitant_binding(marshallisch_1_1,marshaller_1_1) )).++fof(fact_8742,axiom,(+ state_adjective_inhabitant_binding(mauretanisch_1_1,mauretanier_1_1) )).++fof(fact_8743,axiom,(+ state_adjective_inhabitant_binding(mauritisch_1_1,mauritier_1_1) )).++fof(fact_8744,axiom,(+ state_adjective_inhabitant_binding(mexikanisch_1_1,mexikaner_1_1) )).++fof(fact_8745,axiom,(+ state_adjective_inhabitant_binding(mikronesisch_1_1,mikronesier_1_1) )).++fof(fact_8746,axiom,(+ state_adjective_inhabitant_binding(moldauisch_1_1,moldauer_1_1) )).++fof(fact_8747,axiom,(+ state_adjective_inhabitant_binding(monegassisch_1_1,monegasse_1_1) )).++fof(fact_8748,axiom,(+ state_adjective_inhabitant_binding(mongolisch__1_1,mongole_1_1) )).++fof(fact_8749,axiom,(+ state_adjective_inhabitant_binding(mosambikanisch_1_1,mosambikaner_1_1) )).++fof(fact_8750,axiom,(+ state_adjective_inhabitant_binding(myanmarisch_1_1,myanmare_1_1) )).++fof(fact_8751,axiom,(+ state_adjective_inhabitant_binding(namibisch_1_1,namibier_1_1) )).++fof(fact_8752,axiom,(+ state_adjective_inhabitant_binding(nauruisch_1_1,nauruer_1_1) )).++fof(fact_8753,axiom,(+ state_adjective_inhabitant_binding(nepalesisch_1_1,nepalese_1_1) )).++fof(fact_8754,axiom,(+ state_adjective_inhabitant_binding(neuseel__344ndisch_1_1,neuseelaender_1_1) )).++fof(fact_8755,axiom,(+ state_adjective_inhabitant_binding(nicaraguanisch_1_1,nicaraguaner_1_1) )).++fof(fact_8756,axiom,(+ state_adjective_inhabitant_binding(nigerianisch_1_1,nigerianer_1_1) )).++fof(fact_8757,axiom,(+ state_adjective_inhabitant_binding(nigrisch_1_1,nigrer_1_1) )).++fof(fact_8758,axiom,(+ state_adjective_inhabitant_binding(norwegisch_1_1,norweger_1_1) )).++fof(fact_8759,axiom,(+ state_adjective_inhabitant_binding(oesterreichisch_1_1,n366sterreicher_1_1) )).++fof(fact_8760,axiom,(+ state_adjective_inhabitant_binding(omanisch_1_1,omaner_1_1) )).++fof(fact_8761,axiom,(+ state_adjective_inhabitant_binding(pakistanisch_1_1,pakistaner_1_1) )).++fof(fact_8762,axiom,(+ state_adjective_inhabitant_binding(palauisch_1_1,palauer_1_1) )).++fof(fact_8763,axiom,(+ state_adjective_inhabitant_binding(panamaisch_1_1,panam__344r_1_1) )).++fof(fact_8764,axiom,(+ state_adjective_inhabitant_binding(papua_neuguineisch_1_1,npapua_neuguineer_1_1) )).++fof(fact_8765,axiom,(+ state_adjective_inhabitant_binding(paraguayisch_1_1,paraguayer_1_1) )).++fof(fact_8766,axiom,(+ state_adjective_inhabitant_binding(peruanisch__1_1,peruaner_1_1) )).++fof(fact_8767,axiom,(+ state_adjective_inhabitant_binding(philippinisch_1_1,philippiner_1_1) )).++fof(fact_8768,axiom,(+ state_adjective_inhabitant_binding(polnisch__1_1,pole_1_1) )).++fof(fact_8769,axiom,(+ state_adjective_inhabitant_binding(portugiesisch_1_1,portugiese_1_1) )).++fof(fact_8770,axiom,(+ state_adjective_inhabitant_binding(ruandisch__1_1,ruander_1_1) )).++fof(fact_8771,axiom,(+ state_adjective_inhabitant_binding(rum__344nisch__1_1,rum__344ne_1_1) )).++fof(fact_8772,axiom,(+ state_adjective_inhabitant_binding(russisch_1_1,russe_1_1) )).++fof(fact_8773,axiom,(+ state_adjective_inhabitant_binding(salomonisch_1_1,salomoner_1_1) )).++fof(fact_8774,axiom,(+ state_adjective_inhabitant_binding(salvadorianisch_1_1,salvadorianer_1_1) )).++fof(fact_8775,axiom,(+ state_adjective_inhabitant_binding(sambisch_1_1,sambier_1_1) )).++fof(fact_8776,axiom,(+ state_adjective_inhabitant_binding(samoanisch_1_1,samoaner_1_1) )).++fof(fact_8777,axiom,(+ state_adjective_inhabitant_binding(sanmarinesisch_1_1,sanmarinese_1_1) )).++fof(fact_8778,axiom,(+ state_adjective_inhabitant_binding(saudiarabisch_1_1,saudiaraber_1_1) )).++fof(fact_8779,axiom,(+ state_adjective_inhabitant_binding(schwedisch__1_1,schwede_1_1) )).++fof(fact_8780,axiom,(+ state_adjective_inhabitant_binding(schweizerisch__1_1,eidgenosse_1_1) )).++fof(fact_8781,axiom,(+ state_adjective_inhabitant_binding(senegalesisch_1_1,senegalese_1_1) )).++fof(fact_8782,axiom,(+ state_adjective_inhabitant_binding(seychellisch_1_1,seycheller_1_1) )).++fof(fact_8783,axiom,(+ state_adjective_inhabitant_binding(sierraleonisch_1_1,sierraleoner_1_1) )).++fof(fact_8784,axiom,(+ state_adjective_inhabitant_binding(simbabwisch_1_1,simbabwer_1_1) )).++fof(fact_8785,axiom,(+ state_adjective_inhabitant_binding(singapurisch_1_1,singapurer_1_1) )).++fof(fact_8786,axiom,(+ state_adjective_inhabitant_binding(slowakisch__1_1,slowake_1_1) )).++fof(fact_8787,axiom,(+ state_adjective_inhabitant_binding(slowenisch__1_1,slowene_1_1) )).++fof(fact_8788,axiom,(+ state_adjective_inhabitant_binding(somalisch_1_1,somali_1_1) )).++fof(fact_8789,axiom,(+ state_adjective_inhabitant_binding(spanisch__1_1,spanier_1_1) )).++fof(fact_8790,axiom,(+ state_adjective_inhabitant_binding(srilankisch_1_1,srilanker_1_1) )).++fof(fact_8791,axiom,(+ state_adjective_inhabitant_binding(sudanesisch_1_1,sudaner_1_1) )).++fof(fact_8792,axiom,(+ state_adjective_inhabitant_binding(surinamisch_1_1,surinamer_1_1) )).++fof(fact_8793,axiom,(+ state_adjective_inhabitant_binding(swasil__344ndisch_1_1,swasil__344nder_1_1) )).++fof(fact_8794,axiom,(+ state_adjective_inhabitant_binding(syrisch__1_1,syrer_1_1) )).++fof(fact_8795,axiom,(+ state_adjective_inhabitant_binding(s__374dafrikanisch_1_1,s__374dafrikaner_1_1) )).++fof(fact_8796,axiom,(+ state_adjective_inhabitant_binding(s__374dkoreanisch_1_1,s__374dkoreaner_1_1) )).++fof(fact_8797,axiom,(+ state_adjective_inhabitant_binding(tadschikisch__1_1,tadschike_1_1) )).++fof(fact_8798,axiom,(+ state_adjective_inhabitant_binding(tansanisch_1_1,tansanier_1_1) )).++fof(fact_8799,axiom,(+ state_adjective_inhabitant_binding(thail__344ndisch_1_1,thai_1_1) )).++fof(fact_8800,axiom,(+ state_adjective_inhabitant_binding(togoisch_1_1,togoer_1_1) )).++fof(fact_8801,axiom,(+ state_adjective_inhabitant_binding(tongaisch_1_1,tong__344r_1_1) )).++fof(fact_8802,axiom,(+ state_adjective_inhabitant_binding(tschadisch_1_1,tschader_1_1) )).++fof(fact_8803,axiom,(+ state_adjective_inhabitant_binding(tschechisch__1_1,tscheche_1_1) )).++fof(fact_8804,axiom,(+ state_adjective_inhabitant_binding(tunesisch_1_1,tunesier_1_1) )).++fof(fact_8805,axiom,(+ state_adjective_inhabitant_binding(turkmenisch_1_1,turkmene_1_1) )).++fof(fact_8806,axiom,(+ state_adjective_inhabitant_binding(tuvaluisch_1_1,tuvaluer_1_1) )).++fof(fact_8807,axiom,(+ state_adjective_inhabitant_binding(ugandisch_1_1,ugander_1_1) )).++fof(fact_8808,axiom,(+ state_adjective_inhabitant_binding(ukrainisch__1_1,ukrainer_1_1) )).++fof(fact_8809,axiom,(+ state_adjective_inhabitant_binding(ungarisch__1_1,ungar_1_1) )).++fof(fact_8810,axiom,(+ state_adjective_inhabitant_binding(uruguayisch_1_1,uruguayer_1_1) )).++fof(fact_8811,axiom,(+ state_adjective_inhabitant_binding(usbekisch_1_1,usbeke_1_1) )).++fof(fact_8812,axiom,(+ state_adjective_inhabitant_binding(vanuatuisch_1_1,vanuatuer_1_1) )).++fof(fact_8813,axiom,(+ state_adjective_inhabitant_binding(venezolanisch_1_1,venezolaner_1_1) )).++fof(fact_8814,axiom,(+ state_adjective_inhabitant_binding(vietnamesisch__1_1,vietnamese_1_1) )).++fof(fact_8815,axiom,(+ state_adjective_inhabitant_binding(wei__337russisch_1_1,wei__337russe_1_1) )).++fof(fact_8816,axiom,(+ state_adjective_inhabitant_binding(zentralafrikanisch_1_1,zentralafrikaner_1_1) )).++fof(fact_8817,axiom,(+ state_adjective_inhabitant_binding(zypriotisch_1_1,zyprer_1_1) )).++fof(fact_8818,axiom,(+ state_adjective_inhabitant_binding(n344gyptisch_1_1,aegypter_1_1) )).++fof(fact_8819,axiom,(+ state_adjective_inhabitant_binding(n344quatorial_guineisch_1_1,n344quatorialguineer_1_1) )).++fof(fact_8820,axiom,(+ state_adjective_inhabitant_binding(n344thiopisch_1_1,aethiopier_1_1) )).++fof(fact_8821,axiom,(+ state_adjective_state_binding(t__374rkisch_1_1,t__374rkei_0) )).++fof(fact_8822,axiom,(+ state_adjective_state_binding(afghanisch__1_1,afghanistan_0) )).++fof(fact_8823,axiom,(+ state_adjective_state_binding(albanisch__1_1,albanien_0) )).++fof(fact_8824,axiom,(+ state_adjective_state_binding(algerisch_1_1,algerien_0) )).++fof(fact_8825,axiom,(+ state_adjective_state_binding(amerikanisch__1_1,usa_0) )).++fof(fact_8826,axiom,(+ state_adjective_state_binding(andorranisch_1_1,andorra_0) )).++fof(fact_8827,axiom,(+ state_adjective_state_binding(angolanisch_1_1,angola_0) )).++fof(fact_8828,axiom,(+ state_adjective_state_binding(antiguanisch_1_1,antigua_und_barbuda_0) )).++fof(fact_8829,axiom,(+ state_adjective_state_binding(argentinisch__1_1,argentinien_0) )).++fof(fact_8830,axiom,(+ state_adjective_state_binding(armenisch_1_1,armenien_0) )).++fof(fact_8831,axiom,(+ state_adjective_state_binding(aserbaidschanisch_1_1,aserbaidschan_0) )).++fof(fact_8832,axiom,(+ state_adjective_state_binding(australisch__1_1,australien_0) )).++fof(fact_8833,axiom,(+ state_adjective_state_binding(bahamaisch_1_1,bahamas_0) )).++fof(fact_8834,axiom,(+ state_adjective_state_binding(bahrainisch_1_1,bahrain_0) )).++fof(fact_8835,axiom,(+ state_adjective_state_binding(bangladeschisch_1_1,bangladesch_0) )).++fof(fact_8836,axiom,(+ state_adjective_state_binding(barbadisch_1_1,barbados_0) )).++fof(fact_8837,axiom,(+ state_adjective_state_binding(belgisch_1_1,belgien_0) )).++fof(fact_8838,axiom,(+ state_adjective_state_binding(belizisch_1_1,belize_0) )).++fof(fact_8839,axiom,(+ state_adjective_state_binding(beninisch_1_1,benin_0) )).++fof(fact_8840,axiom,(+ state_adjective_state_binding(bhutanisch_1_1,bhutan_0) )).++fof(fact_8841,axiom,(+ state_adjective_state_binding(birmanisch_1_1,birma_0) )).++fof(fact_8842,axiom,(+ state_adjective_state_binding(bolivianisch_1_1,bolivien_0) )).++fof(fact_8843,axiom,(+ state_adjective_state_binding(bosnisch_herzegowinisch_1_1,nbosnien_herzegowina_0) )).++fof(fact_8844,axiom,(+ state_adjective_state_binding(botsuanisch_1_1,botsuana_0) )).++fof(fact_8845,axiom,(+ state_adjective_state_binding(brasilianisch_1_1,brasilien_0) )).++fof(fact_8846,axiom,(+ state_adjective_state_binding(britisch__1_1,grossbritannien_0) )).++fof(fact_8847,axiom,(+ state_adjective_state_binding(bruneiisch_1_1,brunei_0) )).++fof(fact_8848,axiom,(+ state_adjective_state_binding(bulgarisch__1_1,bulgarien_0) )).++fof(fact_8849,axiom,(+ state_adjective_state_binding(bundesdeutsch_1_1,bundesrepublik_0) )).++fof(fact_8850,axiom,(+ state_adjective_state_binding(burkinisch_1_1,burkina_faso_0) )).++fof(fact_8851,axiom,(+ state_adjective_state_binding(burundisch__1_1,burundi_0) )).++fof(fact_8852,axiom,(+ state_adjective_state_binding(chilenisch_1_1,chile_0) )).++fof(fact_8853,axiom,(+ state_adjective_state_binding(chinesisch__1_1,china_0) )).++fof(fact_8854,axiom,(+ state_adjective_state_binding(costaricanisch_1_1,costa_rica_0) )).++fof(fact_8855,axiom,(+ state_adjective_state_binding(cubanisch_1_1,kuba_0) )).++fof(fact_8856,axiom,(+ state_adjective_state_binding(dominicanisch_1_1,dominica_0) )).++fof(fact_8857,axiom,(+ state_adjective_state_binding(dominikanisch_1_1,dominikanische_republik_0) )).++fof(fact_8858,axiom,(+ state_adjective_state_binding(dschibutisch_1_1,dschibuti_0) )).++fof(fact_8859,axiom,(+ state_adjective_state_binding(d__344nisch_1_1,d__344nemark_0) )).++fof(fact_8860,axiom,(+ state_adjective_state_binding(ecuadorianisch_1_1,ecuador_0) )).++fof(fact_8861,axiom,(+ state_adjective_state_binding(eritreisch_1_1,eritrea_0) )).++fof(fact_8862,axiom,(+ state_adjective_state_binding(estnisch_1_1,estland_0) )).++fof(fact_8863,axiom,(+ state_adjective_state_binding(fidschianisch_1_1,fidschi_0) )).++fof(fact_8864,axiom,(+ state_adjective_state_binding(finnisch__1_1,finnland_0) )).++fof(fact_8865,axiom,(+ state_adjective_state_binding(franko_1_1,frankreich_0) )).++fof(fact_8866,axiom,(+ state_adjective_state_binding(gabunisch_1_1,gabun_0) )).++fof(fact_8867,axiom,(+ state_adjective_state_binding(gambisch_1_1,gambia_0) )).++fof(fact_8868,axiom,(+ state_adjective_state_binding(georgisch__1_1,georgien_0) )).++fof(fact_8869,axiom,(+ state_adjective_state_binding(ghanaisch_1_1,ghana_0) )).++fof(fact_8870,axiom,(+ state_adjective_state_binding(grenadisch_1_1,grenada_0) )).++fof(fact_8871,axiom,(+ state_adjective_state_binding(griechisch__1_1,griechenland_0) )).++fof(fact_8872,axiom,(+ state_adjective_state_binding(guatemaltekisch_1_1,guatemala_0) )).++fof(fact_8873,axiom,(+ state_adjective_state_binding(guinea_bissauisch_1_1,guinea_bissau_0) )).++fof(fact_8874,axiom,(+ state_adjective_state_binding(guineisch__1_1,guinea_0) )).++fof(fact_8875,axiom,(+ state_adjective_state_binding(guyanisch_1_1,guyana_0) )).++fof(fact_8876,axiom,(+ state_adjective_state_binding(haitianisch__1_1,haiti_0) )).++fof(fact_8877,axiom,(+ state_adjective_state_binding(holl__344ndisch__1_1,holland_0) )).++fof(fact_8878,axiom,(+ state_adjective_state_binding(honduranisch_1_1,honduras_0) )).++fof(fact_8879,axiom,(+ state_adjective_state_binding(indisch__1_1,indien_0) )).++fof(fact_8880,axiom,(+ state_adjective_state_binding(indonesisch_1_1,indonesien_0) )).++fof(fact_8881,axiom,(+ state_adjective_state_binding(irakisch__1_1,irak_0) )).++fof(fact_8882,axiom,(+ state_adjective_state_binding(irakisch__1_1,iran_0) )).++fof(fact_8883,axiom,(+ state_adjective_state_binding(irisch__1_1,irland_0) )).++fof(fact_8884,axiom,(+ state_adjective_state_binding(isl__344ndisch_1_1,island_0) )).++fof(fact_8885,axiom,(+ state_adjective_state_binding(israelisch__1_1,israel_0) )).++fof(fact_8886,axiom,(+ state_adjective_state_binding(italienisch__1_1,italien_0) )).++fof(fact_8887,axiom,(+ state_adjective_state_binding(ivorisch_1_1,c_te_d_ivoire_0) )).++fof(fact_8888,axiom,(+ state_adjective_state_binding(jamaikanisch_1_1,jamaika_0) )).++fof(fact_8889,axiom,(+ state_adjective_state_binding(japanisch__1_1,japan_0) )).++fof(fact_8890,axiom,(+ state_adjective_state_binding(jemenitisch_1_1,jemen_0) )).++fof(fact_8891,axiom,(+ state_adjective_state_binding(jordanisch__1_1,jordanien_0) )).++fof(fact_8892,axiom,(+ state_adjective_state_binding(jugoslawisch_1_1,jugoslawien_0) )).++fof(fact_8893,axiom,(+ state_adjective_state_binding(kambodschanisch_1_1,kambodscha_0) )).++fof(fact_8894,axiom,(+ state_adjective_state_binding(kamerunisch_1_1,kamerun_0) )).++fof(fact_8895,axiom,(+ state_adjective_state_binding(kanadisch__1_1,kanada_0) )).++fof(fact_8896,axiom,(+ state_adjective_state_binding(kapverdisch_1_1,kap_verde_0) )).++fof(fact_8897,axiom,(+ state_adjective_state_binding(kasachisch_1_1,kasachstan_0) )).++fof(fact_8898,axiom,(+ state_adjective_state_binding(katarisch_1_1,katar_0) )).++fof(fact_8899,axiom,(+ state_adjective_state_binding(kenianisch_1_1,kenia_0) )).++fof(fact_8900,axiom,(+ state_adjective_state_binding(kirgisisch_1_1,kirgisistan_0) )).++fof(fact_8901,axiom,(+ state_adjective_state_binding(kiribatisch_1_1,kiribati_0) )).++fof(fact_8902,axiom,(+ state_adjective_state_binding(kolumbianisch_1_1,kolumbien_0) )).++fof(fact_8903,axiom,(+ state_adjective_state_binding(komorisch_1_1,komoren_0) )).++fof(fact_8904,axiom,(+ state_adjective_state_binding(kongolesisch_1_1,kongo_0) )).++fof(fact_8905,axiom,(+ state_adjective_state_binding(kroatisch__1_1,kroatien_0) )).++fof(fact_8906,axiom,(+ state_adjective_state_binding(kuwaitisch_1_1,kuwait_0) )).++fof(fact_8907,axiom,(+ state_adjective_state_binding(laotisch_1_1,laos_0) )).++fof(fact_8908,axiom,(+ state_adjective_state_binding(lesothisch_1_1,lesotho_0) )).++fof(fact_8909,axiom,(+ state_adjective_state_binding(lettisch__1_1,lettland_0) )).++fof(fact_8910,axiom,(+ state_adjective_state_binding(libanesisch_1_1,libanon_0) )).++fof(fact_8911,axiom,(+ state_adjective_state_binding(liberianisch_1_1,liberia_0) )).++fof(fact_8912,axiom,(+ state_adjective_state_binding(libysch_1_1,libyen_0) )).++fof(fact_8913,axiom,(+ state_adjective_state_binding(liechtensteinisch_1_1,liechtenstein_0) )).++fof(fact_8914,axiom,(+ state_adjective_state_binding(litauisch_1_1,litauen_0) )).++fof(fact_8915,axiom,(+ state_adjective_state_binding(lucianisch_1_1,st__lucia_0) )).++fof(fact_8916,axiom,(+ state_adjective_state_binding(luxemburgisch_1_1,luxemburg_0) )).++fof(fact_8917,axiom,(+ state_adjective_state_binding(madagassisch_1_1,madagaskar_0) )).++fof(fact_8918,axiom,(+ state_adjective_state_binding(makedonisch_1_1,mazedonien_0) )).++fof(fact_8919,axiom,(+ state_adjective_state_binding(malawisch_1_1,malawi_0) )).++fof(fact_8920,axiom,(+ state_adjective_state_binding(malaysisch_1_1,malaysia_0) )).++fof(fact_8921,axiom,(+ state_adjective_state_binding(maledivisch_1_1,malediven_0) )).++fof(fact_8922,axiom,(+ state_adjective_state_binding(malisch_1_1,mali_0) )).++fof(fact_8923,axiom,(+ state_adjective_state_binding(maltesisch_1_1,malta_0) )).++fof(fact_8924,axiom,(+ state_adjective_state_binding(marokkanisch_1_1,marokko_0) )).++fof(fact_8925,axiom,(+ state_adjective_state_binding(marshallisch_1_1,marshallinseln_0) )).++fof(fact_8926,axiom,(+ state_adjective_state_binding(mauretanisch_1_1,mauretanien_0) )).++fof(fact_8927,axiom,(+ state_adjective_state_binding(mauritisch_1_1,mauritius_0) )).++fof(fact_8928,axiom,(+ state_adjective_state_binding(mexikanisch_1_1,mexiko_0) )).++fof(fact_8929,axiom,(+ state_adjective_state_binding(mikronesisch_1_1,mikronesien_0) )).++fof(fact_8930,axiom,(+ state_adjective_state_binding(moldauisch_1_1,moldau_0) )).++fof(fact_8931,axiom,(+ state_adjective_state_binding(monegassisch_1_1,monaco_0) )).++fof(fact_8932,axiom,(+ state_adjective_state_binding(mongolisch__1_1,mongolei_0) )).++fof(fact_8933,axiom,(+ state_adjective_state_binding(mosambikanisch_1_1,mosambik_0) )).++fof(fact_8934,axiom,(+ state_adjective_state_binding(myanmarisch_1_1,birma_1_1) )).++fof(fact_8935,axiom,(+ state_adjective_state_binding(namibisch_1_1,namibia_0) )).++fof(fact_8936,axiom,(+ state_adjective_state_binding(nauruisch_1_1,nauru_0) )).++fof(fact_8937,axiom,(+ state_adjective_state_binding(nepalesisch_1_1,nepal_0) )).++fof(fact_8938,axiom,(+ state_adjective_state_binding(neuseel__344ndisch_1_1,neuseeland_0) )).++fof(fact_8939,axiom,(+ state_adjective_state_binding(nicaraguanisch_1_1,nicaragua_0) )).++fof(fact_8940,axiom,(+ state_adjective_state_binding(nigerianisch_1_1,nigeria_0) )).++fof(fact_8941,axiom,(+ state_adjective_state_binding(nigrisch_1_1,niger_0) )).++fof(fact_8942,axiom,(+ state_adjective_state_binding(norwegisch_1_1,norwegen_0) )).++fof(fact_8943,axiom,(+ state_adjective_state_binding(oesterreichisch_1_1,n366sterreich_0) )).++fof(fact_8944,axiom,(+ state_adjective_state_binding(omanisch_1_1,oman_0) )).++fof(fact_8945,axiom,(+ state_adjective_state_binding(ostdeutsch_1_1,ddr_0) )).++fof(fact_8946,axiom,(+ state_adjective_state_binding(pakistanisch_1_1,pakistan_0) )).++fof(fact_8947,axiom,(+ state_adjective_state_binding(palauisch_1_1,palau_0) )).++fof(fact_8948,axiom,(+ state_adjective_state_binding(panamaisch_1_1,panama_0) )).++fof(fact_8949,axiom,(+ state_adjective_state_binding(papua_neuguineisch_1_1,papua_neuguinea_0) )).++fof(fact_8950,axiom,(+ state_adjective_state_binding(paraguayisch_1_1,paraguay_0) )).++fof(fact_8951,axiom,(+ state_adjective_state_binding(peruanisch__1_1,peru_0) )).++fof(fact_8952,axiom,(+ state_adjective_state_binding(philippinisch_1_1,philippinen_0) )).++fof(fact_8953,axiom,(+ state_adjective_state_binding(polnisch__1_1,polen_0) )).++fof(fact_8954,axiom,(+ state_adjective_state_binding(portugiesisch_1_1,portugal_0) )).++fof(fact_8955,axiom,(+ state_adjective_state_binding(ruandisch__1_1,ruanda_0) )).++fof(fact_8956,axiom,(+ state_adjective_state_binding(rum__344nisch__1_1,rum__344nien_0) )).++fof(fact_8957,axiom,(+ state_adjective_state_binding(russisch_1_1,russland_0) )).++fof(fact_8958,axiom,(+ state_adjective_state_binding(salomonisch_1_1,salomonen_0) )).++fof(fact_8959,axiom,(+ state_adjective_state_binding(salvadorianisch_1_1,el_salvador_0) )).++fof(fact_8960,axiom,(+ state_adjective_state_binding(sambisch_1_1,sambia_0) )).++fof(fact_8961,axiom,(+ state_adjective_state_binding(samoanisch_1_1,samoa_0) )).++fof(fact_8962,axiom,(+ state_adjective_state_binding(sanmarinesisch_1_1,san_marino_0) )).++fof(fact_8963,axiom,(+ state_adjective_state_binding(saudiarabisch_1_1,saudi_arabien_0) )).++fof(fact_8964,axiom,(+ state_adjective_state_binding(schwedisch__1_1,schweden_0) )).++fof(fact_8965,axiom,(+ state_adjective_state_binding(schweizerisch__1_1,schweiz_0) )).++fof(fact_8966,axiom,(+ state_adjective_state_binding(senegalesisch_1_1,senegal_0) )).++fof(fact_8967,axiom,(+ state_adjective_state_binding(seychellisch_1_1,seychellen_0) )).++fof(fact_8968,axiom,(+ state_adjective_state_binding(sierraleonisch_1_1,sierra_leone_0) )).++fof(fact_8969,axiom,(+ state_adjective_state_binding(simbabwisch_1_1,simbabwe_0) )).++fof(fact_8970,axiom,(+ state_adjective_state_binding(singapurisch_1_1,singapur_0) )).++fof(fact_8971,axiom,(+ state_adjective_state_binding(slowakisch__1_1,slowakei_0) )).++fof(fact_8972,axiom,(+ state_adjective_state_binding(slowenisch__1_1,slowenien_0) )).++fof(fact_8973,axiom,(+ state_adjective_state_binding(somalisch_1_1,somalia_0) )).++fof(fact_8974,axiom,(+ state_adjective_state_binding(spanisch__1_1,spanien_0) )).++fof(fact_8975,axiom,(+ state_adjective_state_binding(srilankisch_1_1,sri_lanka_0) )).++fof(fact_8976,axiom,(+ state_adjective_state_binding(sudanesisch_1_1,sudan_0) )).++fof(fact_8977,axiom,(+ state_adjective_state_binding(surinamisch_1_1,suriname_0) )).++fof(fact_8978,axiom,(+ state_adjective_state_binding(swasil__344ndisch_1_1,swasiland_0) )).++fof(fact_8979,axiom,(+ state_adjective_state_binding(syrisch__1_1,syrien_0) )).++fof(fact_8980,axiom,(+ state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0) )).++fof(fact_8981,axiom,(+ state_adjective_state_binding(s__374dkoreanisch_1_1,s__374dkorea_0) )).++fof(fact_8982,axiom,(+ state_adjective_state_binding(tadschikisch__1_1,tadschikistan_0) )).++fof(fact_8983,axiom,(+ state_adjective_state_binding(tansanisch_1_1,tansania_0) )).++fof(fact_8984,axiom,(+ state_adjective_state_binding(thail__344ndisch_1_1,thailand_0) )).++fof(fact_8985,axiom,(+ state_adjective_state_binding(togoisch_1_1,togo_0) )).++fof(fact_8986,axiom,(+ state_adjective_state_binding(tongaisch_1_1,tonga_0) )).++fof(fact_8987,axiom,(+ state_adjective_state_binding(tschadisch_1_1,tschad_0) )).++fof(fact_8988,axiom,(+ state_adjective_state_binding(tschechisch__1_1,tschechische_republik_0) )).++fof(fact_8989,axiom,(+ state_adjective_state_binding(tunesisch_1_1,tunesien_0) )).++fof(fact_8990,axiom,(+ state_adjective_state_binding(turkmenisch_1_1,turkmenien_1_1) )).++fof(fact_8991,axiom,(+ state_adjective_state_binding(tuvaluisch_1_1,tuvalu_0) )).++fof(fact_8992,axiom,(+ state_adjective_state_binding(ugandisch_1_1,uganda_0) )).++fof(fact_8993,axiom,(+ state_adjective_state_binding(ukrainisch__1_1,ukraine_0) )).++fof(fact_8994,axiom,(+ state_adjective_state_binding(ungarisch__1_1,ungarn_0) )).++fof(fact_8995,axiom,(+ state_adjective_state_binding(uruguayisch_1_1,uruguay_0) )).++fof(fact_8996,axiom,(+ state_adjective_state_binding(usbekisch_1_1,usbekistan_0) )).++fof(fact_8997,axiom,(+ state_adjective_state_binding(vanuatuisch_1_1,vanuatu_0) )).++fof(fact_8998,axiom,(+ state_adjective_state_binding(vatikanisch_1_1,vatikanstadt_0) )).++fof(fact_8999,axiom,(+ state_adjective_state_binding(venezolanisch_1_1,venezuela_0) )).++fof(fact_9000,axiom,(+ state_adjective_state_binding(vietnamesisch__1_1,vietnam_0) )).++fof(fact_9001,axiom,(+ state_adjective_state_binding(weissrussisch_1_1,weissrussland_0) )).++fof(fact_9002,axiom,(+ state_adjective_state_binding(zentralafrikanisch_1_1,zentralafrikanische_republik_0) )).++fof(fact_9003,axiom,(+ state_adjective_state_binding(zypriotisch_1_1,zypern_0) )).++fof(fact_9004,axiom,(+ state_adjective_state_binding(n344gyptisch_1_1,n344gypten_0) )).++fof(fact_9005,axiom,(+ state_adjective_state_binding(n344quatorial_guineisch_1_1,n344quatorialguinea_0) )).++fof(fact_9006,axiom,(+ state_adjective_state_binding(n344thiopisch_1_1,n344thiopien_0) )).++fof(fact_9007,axiom,(+ sub(abenteurerin_1_1,abenteurer_1_1) )).++fof(fact_9008,axiom,(+ sub(abnehmerin_1_1,abnehmer_1_1) )).++fof(fact_9009,axiom,(+ sub(absenderin_1_1,absender__1_1) )).++fof(fact_9010,axiom,(+ sub(absteigerin_1_1,absteiger_1_1) )).++fof(fact_9011,axiom,(+ sub(abteilungsleiterin_1_1,abteilungleiter_1_1) )).++fof(fact_9012,axiom,(+ sub(abwehrchefin_1_1,abwehrchef_1_1) )).++fof(fact_9013,axiom,(+ sub(abwehrspielerin_1_1,abwehrspieler_1_1) )).++fof(fact_9014,axiom,(+ sub(abweichlerin_1_1,abweichler_1_1) )).++fof(fact_9015,axiom,(+ sub(adressatin_1_1,adressat_1_1) )).++fof(fact_9016,axiom,(+ sub(afrikanerin_1_1,afrikaner__1_1) )).++fof(fact_9017,axiom,(+ sub(afroamerikanerin_1_1,afroamerikaner_1_1) )).++fof(fact_9018,axiom,(+ sub(agraringenieurin_1_1,agraringenieur_1_1) )).++fof(fact_9019,axiom,(+ sub(agrarministerin_1_1,agrarminister_1_1) )).++fof(fact_9020,axiom,(+ sub(ahnin_1_1,ahn_1_1) )).++fof(fact_9021,axiom,(+ sub(akademikerin_1_1,akademiker_1_1) )).++fof(fact_9022,axiom,(+ sub(akkordeonistin_1_1,akkordeonist_1_1) )).++fof(fact_9023,axiom,(+ sub(akrobatin_1_1,akrobat_1_1) )).++fof(fact_9024,axiom,(+ sub(aktfotograf_1_1,fotograf_1_1) )).++fof(fact_9025,axiom,(+ sub(aktion__344rin_1_1,aktion__344r_1_1) )).++fof(fact_9026,axiom,(+ sub(algerierin_1_1,algerier_1_1) )).++fof(fact_9027,axiom,(+ sub(alkoholikerin_1_1,alkoholiker_1_1) )).++fof(fact_9028,axiom,(+ sub(alleinherrscherin_1_1,alleinherrscher_1_1) )).++fof(fact_9029,axiom,(+ sub(alleinunterhalterin_1_1,alleinunterhalter_1_1) )).++fof(fact_9030,axiom,(+ sub(allergikerin_1_1,allergiker__1_1) )).++fof(fact_9031,axiom,(+ sub(allgemeinmedizinerin_1_1,allgemeinarzt_1_1) )).++fof(fact_9032,axiom,(+ sub(alterspr__344sidentin_1_1,alterspr__344sident_1_1) )).++fof(fact_9033,axiom,(+ sub(altkommunistin_1_1,altkommunist_1_1) )).++fof(fact_9034,axiom,(+ sub(altpapier_1_1,papier_1_1) )).++fof(fact_9035,axiom,(+ sub(amateurin_1_1,amateur__1_1) )).++fof(fact_9036,axiom,(+ sub(amtschefin_1_1,amtschef_1_1) )).++fof(fact_9037,axiom,(+ sub(amtsinhaberin_1_1,amtsinhaber_1_1) )).++fof(fact_9038,axiom,(+ sub(amtsnachfolgerin_1_1,amtsnachfolger_1_1) )).++fof(fact_9039,axiom,(+ sub(amtsrichterin_1_1,amtsrichter_1_1) )).++fof(fact_9040,axiom,(+ sub(amtsvorg__344ngerin_1_1,amtsvorg__344nger_1_1) )).++fof(fact_9041,axiom,(+ sub(anaesthesistin_1_1,anaesthesist_1_1) )).++fof(fact_9042,axiom,(+ sub(analytikerin_1_1,analytiker_1_1) )).++fof(fact_9043,axiom,(+ sub(anarchistin_1_1,anarchist_1_1) )).++fof(fact_9044,axiom,(+ sub(andalusierin_1_1,andalusier_1_1) )).++fof(fact_9045,axiom,(+ sub(anf__344ngerin_1_1,anf__344nger__1_1) )).++fof(fact_9046,axiom,(+ sub(anf__374hrerin_1_1,an_f__374hrer_1_1) )).++fof(fact_9047,axiom,(+ sub(anglikanerin_1_1,anglikaner_1_1) )).++fof(fact_9048,axiom,(+ sub(anglistin_1_1,anglist_1_1) )).++fof(fact_9049,axiom,(+ sub(angolanerin_1_1,angolaner_1_1) )).++fof(fact_9050,axiom,(+ sub(angreiferin_1_1,aggressor_1_1) )).++fof(fact_9051,axiom,(+ sub(anhalterin_1_1,anhalter_1_1) )).++fof(fact_9052,axiom,(+ sub(animateurin_1_1,animateur_1_1) )).++fof(fact_9053,axiom,(+ sub(anklagevertreterin_1_1,anklagevertreter_1_1) )).++fof(fact_9054,axiom,(+ sub(ankl__344gerin_1_1,ankl__344ger_1_1) )).++fof(fact_9055,axiom,(+ sub(anlageberaterin_1_1,anlageberater_1_1) )).++fof(fact_9056,axiom,(+ sub(anlegerin_1_1,anleger_1_1) )).++fof(fact_9057,axiom,(+ sub(anliegerin_1_1,anlieger__1_1) )).++fof(fact_9058,axiom,(+ sub(anrainerin_1_1,anrainer_1_1) )).++fof(fact_9059,axiom,(+ sub(anruferin_1_1,anrufer_1_1) )).++fof(fact_9060,axiom,(+ sub(ansprechpartnerin_1_1,ansprech_partner_1_1) )).++fof(fact_9061,axiom,(+ sub(anstifterin_1_1,anstifter_1_1) )).++fof(fact_9062,axiom,(+ sub(anteilseignerin_1_1,anteilsbesitzer_1_1) )).++fof(fact_9063,axiom,(+ sub(antifaschistin_1_1,antifaschist_1_1) )).++fof(fact_9064,axiom,(+ sub(antiquit__344tenh__344ndlerin_1_1,antiquit__344tenh__344ndler_1_1) )).++fof(fact_9065,axiom,(+ sub(antisemitin_1_1,antisemit_1_1) )).++fof(fact_9066,axiom,(+ sub(anwenderin_1_1,anwen_der_1_1) )).++fof(fact_9067,axiom,(+ sub(anwohnerin_1_1,anwohner__1_1) )).++fof(fact_9068,axiom,(+ sub(anw__344rterin_1_1,anwaerter_1_1) )).++fof(fact_9069,axiom,(+ sub(araberin_1_1,araber_1_1) )).++fof(fact_9070,axiom,(+ sub(arbeitgeberin_1_1,arbeitgeber__1_1) )).++fof(fact_9071,axiom,(+ sub(arbeitsministerin_1_1,arbeitsminister_1_1) )).++fof(fact_9072,axiom,(+ sub(archivarin_1_1,archivar_1_1) )).++fof(fact_9073,axiom,(+ sub(argentinierin_1_1,argentinier_1_1) )).++fof(fact_9074,axiom,(+ sub(aristokratin_1_1,aristokrat_1_1) )).++fof(fact_9075,axiom,(+ sub(armeesprecherin_1_1,armeesprecher_1_1) )).++fof(fact_9076,axiom,(+ sub(armenierin_1_1,armenier_1_1) )).++fof(fact_9077,axiom,(+ sub(arzthelferin_1_1,arzthelfer_1_1) )).++fof(fact_9078,axiom,(+ sub(asketin_1_1,asket_1_1) )).++fof(fact_9079,axiom,(+ sub(aspirantin_1_1,aspirant_1_1) )).++fof(fact_9080,axiom,(+ sub(assessorin_1_1,assessor_1_1) )).++fof(fact_9081,axiom,(+ sub(assistenztrainerin_1_1,assistenztrainer_1_1) )).++fof(fact_9082,axiom,(+ sub(astatin_1_1,astat_1_1) )).++fof(fact_9083,axiom,(+ sub(asthmatikerin_1_1,asthmatiker_1_1) )).++fof(fact_9084,axiom,(+ sub(astronautin_1_1,astronaut_1_1) )).++fof(fact_9085,axiom,(+ sub(astronomin_1_1,astronom_1_1) )).++fof(fact_9086,axiom,(+ sub(astrophysikerin_1_1,astro_physiker_1_1) )).++fof(fact_9087,axiom,(+ sub(asylbewerberin_1_1,asylant_1_1) )).++fof(fact_9088,axiom,(+ sub(atheistin_1_1,agnostiker_1_1) )).++fof(fact_9089,axiom,(+ sub(attent__344terin_1_1,attentaeter_1_1) )).++fof(fact_9090,axiom,(+ sub(aufr__374hrerin_1_1,aufhetzer_1_1) )).++fof(fact_9091,axiom,(+ sub(aufseherin_1_1,aufseher_1_1) )).++fof(fact_9092,axiom,(+ sub(aufsichtsratschefin_1_1,aufsichtsratschef_1_1) )).++fof(fact_9093,axiom,(+ sub(auftraggeberin_1_1,auftraggeber__1_1) )).++fof(fact_9094,axiom,(+ sub(auftragsm__366rderin_1_1,auftragm__366rder_1_1) )).++fof(fact_9095,axiom,(+ sub(augenoptikerin_1_1,augenoptiker_1_1) )).++fof(fact_9096,axiom,(+ sub(auktionatorin_1_1,auktionator_1_1) )).++fof(fact_9097,axiom,(+ sub(ausbilderin_1_1,ausbilder_1_1) )).++fof(fact_9098,axiom,(+ sub(ausbrecherin_1_1,ausbrecher_1_1) )).++fof(fact_9099,axiom,(+ sub(auslandskorrespondentin_1_1,auslandkorrespondent_1_1) )).++fof(fact_9100,axiom,(+ sub(ausreisserin_1_1,ausreisser_1_1) )).++fof(fact_9101,axiom,(+ sub(ausrichterin_1_1,ausrichter_1_1) )).++fof(fact_9102,axiom,(+ sub(aussenministerin_1_1,aussenminister_1_1) )).++fof(fact_9103,axiom,(+ sub(aussteigerin_1_1,aussteiger_1_1) )).++fof(fact_9104,axiom,(+ sub(ausstellerin_1_1,aussteller__1_1) )).++fof(fact_9105,axiom,(+ sub(autobesitzerin_1_1,autobesitzer_1_1) )).++fof(fact_9106,axiom,(+ sub(autodidaktin_1_1,autodidakt_1_1) )).++fof(fact_9107,axiom,(+ sub(autofahrerin_1_1,autofahrer_1_1) )).++fof(fact_9108,axiom,(+ sub(automobilbauer_1_1,bauer_1_1) )).++fof(fact_9109,axiom,(+ sub(avantgardistin_1_1,avantgardist_1_1) )).++fof(fact_9110,axiom,(+ sub(backgrounds__344ngerin_1_1,backgrounds__344nger_1_1) )).++fof(fact_9111,axiom,(+ sub(bademeisterin_1_1,bade_meister_1_1) )).++fof(fact_9112,axiom,(+ sub(badmintonspielerin_1_1,badmintonspieler_1_1) )).++fof(fact_9113,axiom,(+ sub(ballsportlerin_1_1,ballspieler_1_1) )).++fof(fact_9114,axiom,(+ sub(bankrotteurin_1_1,bankrotteur_1_1) )).++fof(fact_9115,axiom,(+ sub(bankr__344uberin_1_1,bankr__344uber_1_1) )).++fof(fact_9116,axiom,(+ sub(baptistin_1_1,baptist_1_1) )).++fof(fact_9117,axiom,(+ sub(barkeeperin_1_1,barkeeper_1_1) )).++fof(fact_9118,axiom,(+ sub(basisdemokratin_1_1,basisdemokrat_1_1) )).++fof(fact_9119,axiom,(+ sub(basketballspielerin_1_1,basketballer_1_1) )).++fof(fact_9120,axiom,(+ sub(basketballtrainerin_1_1,basketballtrainer_1_1) )).++fof(fact_9121,axiom,(+ sub(bassistin_1_1,bassist_1_1) )).++fof(fact_9122,axiom,(+ sub(baudezernentin_1_1,baudezernent_1_1) )).++fof(fact_9123,axiom,(+ sub(bauherrin_1_1,bauherr_1_1) )).++fof(fact_9124,axiom,(+ sub(bauingenieurin_1_1,architekt_1_1) )).++fof(fact_9125,axiom,(+ sub(bauministerin_1_1,bauminister_1_1) )).++fof(fact_9126,axiom,(+ sub(bauunternehmerin_1_1,bauarbeitgeber_1_1) )).++fof(fact_9127,axiom,(+ sub(be_gr__374nder_1_1,an_f__374hrer_1_1) )).++fof(fact_9128,axiom,(+ sub(befehlshaberin_1_1,befehlshaber_1_1) )).++fof(fact_9129,axiom,(+ sub(befreierin_1_1,befreier_1_1) )).++fof(fact_9130,axiom,(+ sub(bef__374rworterin_1_1,befuerworter_1_1) )).++fof(fact_9131,axiom,(+ sub(begr__374nderin_1_1,be_gr__374nder_1_1) )).++fof(fact_9132,axiom,(+ sub(beifahrerin_1_1,beifahrer__1_1) )).++fof(fact_9133,axiom,(+ sub(beisitzerin_1_1,beisitzer_1_1) )).++fof(fact_9134,axiom,(+ sub(beitragszahlerin_1_1,beitragszahler_1_1) )).++fof(fact_9135,axiom,(+ sub(bekehrerin_1_1,bekehrer_1_1) )).++fof(fact_9136,axiom,(+ sub(benediktinerin_1_1,benediktiner__1_1) )).++fof(fact_9137,axiom,(+ sub(beobachterin_1_1,beobachter__1_1) )).++fof(fact_9138,axiom,(+ sub(beratungslehrerin_1_1,beratungslehrer_1_1) )).++fof(fact_9139,axiom,(+ sub(bereichsleiterin_1_1,bereichleiter_1_1) )).++fof(fact_9140,axiom,(+ sub(bergarbeiterin_1_1,bergarbeiter_1_1) )).++fof(fact_9141,axiom,(+ sub(bergf__374hrerin_1_1,bergfuehrer_1_1) )).++fof(fact_9142,axiom,(+ sub(bergmassiv_1_1,massiv_2_1) )).++fof(fact_9143,axiom,(+ sub(berichterstatterin_1_1,berichterstatter_1_1) )).++fof(fact_9144,axiom,(+ sub(berlinerin_1_1,berliner_1_1) )).++fof(fact_9145,axiom,(+ sub(berufsanf__344ngerin_1_1,berufsanf__344nger_1_1) )).++fof(fact_9146,axiom,(+ sub(berufspendlerin_1_1,berufspendler_1_1) )).++fof(fact_9147,axiom,(+ sub(berufsschullehrerin_1_1,berufschullehrer_1_1) )).++fof(fact_9148,axiom,(+ sub(berufssoldatin_1_1,berufskrieger_1_1) )).++fof(fact_9149,axiom,(+ sub(beschwerdef__374hrerin_1_1,ankl__344ger_1_1) )).++fof(fact_9150,axiom,(+ sub(besch__374tzerin_1_1,besch__374tzer_1_1) )).++fof(fact_9151,axiom,(+ sub(besetzerin_1_1,belagerer_1_1) )).++fof(fact_9152,axiom,(+ sub(betrachterin_1_1,betrachter__1_1) )).++fof(fact_9153,axiom,(+ sub(betriebsschlosserin_1_1,betriebschlosser_1_1) )).++fof(fact_9154,axiom,(+ sub(betriebswirtin_1_1,betriebswirt_1_1) )).++fof(fact_9155,axiom,(+ sub(betr__374gerin_1_1,betr__374ger_1_1) )).++fof(fact_9156,axiom,(+ sub(bettlerin_1_1,bettler__1_1) )).++fof(fact_9157,axiom,(+ sub(bewundererin_1_1,bewunderer_1_1) )).++fof(fact_9158,axiom,(+ sub(biathletin_1_1,biathlet_1_1) )).++fof(fact_9159,axiom,(+ sub(bibliothekarin_1_1,bibliothekar_1_1) )).++fof(fact_9160,axiom,(+ sub(bildhauerin_1_1,bildhauer_1_1) )).++fof(fact_9161,axiom,(+ sub(bildredakteurin_1_1,bildredakteur_1_1) )).++fof(fact_9162,axiom,(+ sub(bildungsministerin_1_1,bildungsminister_1_1) )).++fof(fact_9163,axiom,(+ sub(bildungspolitikerin_1_1,bildungspolitiker_1_1) )).++fof(fact_9164,axiom,(+ sub(biographin_1_1,biografin_1_1) )).++fof(fact_9165,axiom,(+ sub(biologielehrerin_1_1,biolehrer_1_1) )).++fof(fact_9166,axiom,(+ sub(bluess__344ngerin_1_1,bluess__344nger_1_1) )).++fof(fact_9167,axiom,(+ sub(bl__344serin_1_1,bl__344ser__1_1) )).++fof(fact_9168,axiom,(+ sub(bobfahrerin_1_1,bobfahrer_1_1) )).++fof(fact_9169,axiom,(+ sub(bolivianerin_1_1,bolivianer_1_1) )).++fof(fact_9170,axiom,(+ sub(bonnerin_1_1,bonner_2_1) )).++fof(fact_9171,axiom,(+ sub(brandstifterin_1_1,brandstifter_1_1) )).++fof(fact_9172,axiom,(+ sub(brasilianerin_1_1,brasilianer_1_1) )).++fof(fact_9173,axiom,(+ sub(brauerin_1_1,brauer__1_1) )).++fof(fact_9174,axiom,(+ sub(bremerin_1_1,bremer_2_1) )).++fof(fact_9175,axiom,(+ sub(brieffreundin_1_1,brieffreund_1_1) )).++fof(fact_9176,axiom,(+ sub(brieftr__344gerin_1_1,brieftr__344ger_1_1) )).++fof(fact_9177,axiom,(+ sub(brokerin_1_1,broker_1_1) )).++fof(fact_9178,axiom,(+ sub(brustschwimmerin_1_1,brustschwimmer_1_1) )).++fof(fact_9179,axiom,(+ sub(buchautorin_1_1,buchautor_1_1) )).++fof(fact_9180,axiom,(+ sub(buchbinderin_1_1,buchbinder_1_1) )).++fof(fact_9181,axiom,(+ sub(buchh__344ndlerin_1_1,buchh__344ndler_1_1) )).++fof(fact_9182,axiom,(+ sub(buddhistin_1_1,buddhist_1_1) )).++fof(fact_9183,axiom,(+ sub(bundesbauministerin_1_1,bundesbauminister_1_1) )).++fof(fact_9184,axiom,(+ sub(bundesbildungsministerin_1_1,bundesbildungsminister_1_1) )).++fof(fact_9185,axiom,(+ sub(bundesb__374rgerin_1_1,bundesbuerger_1_1) )).++fof(fact_9186,axiom,(+ sub(bundesfamilienministerin_1_1,bundesfamilienminister_1_1) )).++fof(fact_9187,axiom,(+ sub(bundesforschungsministerin_1_1,bundesforschungsminister_1_1) )).++fof(fact_9188,axiom,(+ sub(bundeskanzlerin_1_1,bundeskanzler_1_1) )).++fof(fact_9189,axiom,(+ sub(bundesministerin_1_1,bundesminister_1_1) )).++fof(fact_9190,axiom,(+ sub(bundespr__344sidentin_1_1,bundepr__344sident_1_1) )).++fof(fact_9191,axiom,(+ sub(bundessozialministerin_1_1,bundessozialminister_1_1) )).++fof(fact_9192,axiom,(+ sub(bundestrainerin_1_1,bundestrainer_1_1) )).++fof(fact_9193,axiom,(+ sub(bundesumweltministerin_1_1,bundesumweltminister_1_1) )).++fof(fact_9194,axiom,(+ sub(busfahrerin_1_1,buschauffeur_1_1) )).++fof(fact_9195,axiom,(+ sub(b__374hnenbildnerin_1_1,b__374hnenbildner__1_1) )).++fof(fact_9196,axiom,(+ sub(b__374ndnispartnerin_1_1,allianzpartner_1_1) )).++fof(fact_9197,axiom,(+ sub(b__374rgerrechtlerin_1_1,buergerrechtler_1_1) )).++fof(fact_9198,axiom,(+ sub(b__374rovorsteherin_1_1,b__374rovorsteher_1_1) )).++fof(fact_9199,axiom,(+ sub(calvinistin_1_1,calvinist_1_1) )).++fof(fact_9200,axiom,(+ sub(cellistin_1_1,cellist_1_1) )).++fof(fact_9201,axiom,(+ sub(chaotin_1_1,chaot_1_1) )).++fof(fact_9202,axiom,(+ sub(chefredakteurin_1_1,chefredakteur_1_1) )).++fof(fact_9203,axiom,(+ sub(chemielehrerin_1_1,chemielehrer_1_1) )).++fof(fact_9204,axiom,(+ sub(chemikerin_1_1,chemiker_1_1) )).++fof(fact_9205,axiom,(+ sub(chirurgin_1_1,chi_rurg_1_1) )).++fof(fact_9206,axiom,(+ sub(chors__344ngerin_1_1,chors__344nger_1_1) )).++fof(fact_9207,axiom,(+ sub(christdemokratin_1_1,christdemokrat_1_1) )).++fof(fact_9208,axiom,(+ sub(coiffeurin_1_1,coiffeur_1_1) )).++fof(fact_9209,axiom,(+ sub(dachdeckerin_1_1,dachdecker_1_1) )).++fof(fact_9210,axiom,(+ sub(damenschneiderin_1_1,damenschneider_1_1) )).++fof(fact_9211,axiom,(+ sub(dealerin_1_1,dealer_1_1) )).++fof(fact_9212,axiom,(+ sub(dekanin_1_1,dekan_1_1) )).++fof(fact_9213,axiom,(+ sub(delinquentin_1_1,delinquent_1_1) )).++fof(fact_9214,axiom,(+ sub(demokratin_1_1,demokrat_1_1) )).++fof(fact_9215,axiom,(+ sub(despotin_1_1,alleinherrscher_1_1) )).++fof(fact_9216,axiom,(+ sub(deutschlehrerin_1_1,deutschlehrer_1_1) )).++fof(fact_9217,axiom,(+ sub(dezernentin_1_1,dezernent_1_1) )).++fof(fact_9218,axiom,(+ sub(diakonin_1_1,diakon_1_1) )).++fof(fact_9219,axiom,(+ sub(dialysepatientin_1_1,dialysepatient_1_1) )).++fof(fact_9220,axiom,(+ sub(diebin_1_1,dieb_1_1) )).++fof(fact_9221,axiom,(+ sub(diktatorin_1_1,diktator_1_1) )).++fof(fact_9222,axiom,(+ sub(diplomatin_1_1,botschafter_1_1) )).++fof(fact_9223,axiom,(+ sub(dirigentin_1_1,chorleiter_1_1) )).++fof(fact_9224,axiom,(+ sub(diskuswerferin_1_1,diskuswerfer_1_1) )).++fof(fact_9225,axiom,(+ sub(disponentin_1_1,disponent_1_1) )).++fof(fact_9226,axiom,(+ sub(dissidentin_1_1,dissident_1_1) )).++fof(fact_9227,axiom,(+ sub(dogmatikerin_1_1,dogmatiker_1_1) )).++fof(fact_9228,axiom,(+ sub(doktorin_1_1,arzt__1_1) )).++fof(fact_9229,axiom,(+ sub(dominikanerin_1_1,dominikaner__1_1) )).++fof(fact_9230,axiom,(+ sub(dompteurin_1_1,dompteur_1_1) )).++fof(fact_9231,axiom,(+ sub(dorfschullehrerin_1_1,dorflehrer_1_1) )).++fof(fact_9232,axiom,(+ sub(dramatikerin_1_1,dramatiker_1_1) )).++fof(fact_9233,axiom,(+ sub(dreherin_1_1,dreher_1_1) )).++fof(fact_9234,axiom,(+ sub(dreispringerin_1_1,dreispringer_1_1) )).++fof(fact_9235,axiom,(+ sub(dressurreiterin_1_1,dressurreiter_1_1) )).++fof(fact_9236,axiom,(+ sub(drogendealerin_1_1,drogendealer__1_1) )).++fof(fact_9237,axiom,(+ sub(drogistin_1_1,drogist_1_1) )).++fof(fact_9238,axiom,(+ sub(ecuadorianerin_1_1,ecuadorianer_1_1) )).++fof(fact_9239,axiom,(+ sub(egoistin_1_1,egoist_1_1) )).++fof(fact_9240,axiom,(+ sub(eheberaterin_1_1,eheberater_1_1) )).++fof(fact_9241,axiom,(+ sub(ehemann_1_1,mann_1_1) )).++fof(fact_9242,axiom,(+ sub(einbrecherin_1_1,einbrecher_1_1) )).++fof(fact_9243,axiom,(+ sub(eishockeyspielerin_1_1,eishockeyspieler__1_1) )).++fof(fact_9244,axiom,(+ sub(elektrikerin_1_1,elektriker_1_1) )).++fof(fact_9245,axiom,(+ sub(elektroingenieurin_1_1,elektroingenieur_1_1) )).++fof(fact_9246,axiom,(+ sub(elektroinstallateurin_1_1,elektroinstallateur_1_1) )).++fof(fact_9247,axiom,(+ sub(elektromonteurin_1_1,elektromonteur_1_1) )).++fof(fact_9248,axiom,(+ sub(els__344sserin_1_1,els__344sser_1_1) )).++fof(fact_9249,axiom,(+ sub(emigrantin_1_1,auswanderer__1_1) )).++fof(fact_9250,axiom,(+ sub(englischlehrerin_1_1,englischlehrer_1_1) )).++fof(fact_9251,axiom,(+ sub(entdeckerin_1_1,entdecker_1_1) )).++fof(fact_9252,axiom,(+ sub(entertainerin_1_1,entertainer_1_1) )).++fof(fact_9253,axiom,(+ sub(entf__374hrerin_1_1,entf__374hrer_1_1) )).++fof(fact_9254,axiom,(+ sub(erfinderin_1_1,erfinder_1_1) )).++fof(fact_9255,axiom,(+ sub(erfolgstrainerin_1_1,erfolgscoach_1_1) )).++fof(fact_9256,axiom,(+ sub(erl__366serin_1_1,erl__366ser__1_1) )).++fof(fact_9257,axiom,(+ sub(erpresserin_1_1,erpresser_1_1) )).++fof(fact_9258,axiom,(+ sub(erstw__344hlerin_1_1,erstw__344hler_1_1) )).++fof(fact_9259,axiom,(+ sub(erziehungsanstalt_1_1,anstalt_1_1) )).++fof(fact_9260,axiom,(+ sub(erziehungswissenschaftlerin_1_1,erziehungswissenschaftler_1_1) )).++fof(fact_9261,axiom,(+ sub(euland_1_1,land_1_1) )).++fof(fact_9262,axiom,(+ sub(eurasierin_1_1,eurasier_1_1) )).++fof(fact_9263,axiom,(+ sub(europaparlamentarierin_1_1,europa_parlamentarierin_1_1) )).++fof(fact_9264,axiom,(+ sub(europ__344erin_1_1,europ__344er_1_1) )).++fof(fact_9265,axiom,(+ sub(exhibitionistin_1_1,exhibitionist_1_1) )).++fof(fact_9266,axiom,(+ sub(extremistin_1_1,eiferer_1_1) )).++fof(fact_9267,axiom,(+ sub(fabrikantin_1_1,fabrikant_1_1) )).++fof(fact_9268,axiom,(+ sub(fabrikarbeiterin_1_1,betriebsarbeiter_1_1) )).++fof(fact_9269,axiom,(+ sub(fachlehrerin_1_1,fachlehrer_1_1) )).++fof(fact_9270,axiom,(+ sub(fados__344ngerin_1_1,fados__344nger_1_1) )).++fof(fact_9271,axiom,(+ sub(fagottistin_1_1,fagottist_1_1) )).++fof(fact_9272,axiom,(+ sub(fahrerin_1_1,fahrer__1_1) )).++fof(fact_9273,axiom,(+ sub(fahrlehrerin_1_1,fahrlehrer_1_1) )).++fof(fact_9274,axiom,(+ sub(fahrradfahrerin_1_1,fahrradfahrer_1_1) )).++fof(fact_9275,axiom,(+ sub(fahrzeugf__374hrerin_1_1,fahrzeugf__374hrer_1_1) )).++fof(fact_9276,axiom,(+ sub(familienministerin_1_1,familienminister_1_1) )).++fof(fact_9277,axiom,(+ sub(faschistin_1_1,faschist_1_1) )).++fof(fact_9278,axiom,(+ sub(feindin_1_1,feind__1_1) )).++fof(fact_9279,axiom,(+ sub(feinmechanikerin_1_1,feinmechaniker_1_1) )).++fof(fact_9280,axiom,(+ sub(feldhockeyspielerin_1_1,feldhockeyspieler_1_1) )).++fof(fact_9281,axiom,(+ sub(fernseh_film_1_1,film_1_1) )).++fof(fact_9282,axiom,(+ sub(fernseh_moderatorin_1_1,fernseh_moderator_1_1) )).++fof(fact_9283,axiom,(+ sub(feuerschluckerin_1_1,feuerschlucker_1_1) )).++fof(fact_9284,axiom,(+ sub(ffh_moderatorin_1_1,ffh_moderator_1_1) )).++fof(fact_9285,axiom,(+ sub(fiedlerin_1_1,fiedler_1_1) )).++fof(fact_9286,axiom,(+ sub(filme_macher_1_1,macher_1_1) )).++fof(fact_9287,axiom,(+ sub(filmpreis_1_1,preis_1_1) )).++fof(fact_9288,axiom,(+ sub(finalistin_1_1,finalist_1_1) )).++fof(fact_9289,axiom,(+ sub(finanzberaterin_1_1,finanzberater_1_1) )).++fof(fact_9290,axiom,(+ sub(fischerin_1_1,fisch_er_1_1) )).++fof(fact_9291,axiom,(+ sub(floristin_1_1,blumenh__344ndler_1_1) )).++fof(fact_9292,axiom,(+ sub(fluchthelferin_1_1,fluchthelfer_1_1) )).++fof(fact_9293,axiom,(+ sub(flugzeugentf__374hrerin_1_1,flugzeugentf__374hrer_1_1) )).++fof(fact_9294,axiom,(+ sub(flugzeugmechanikerin_1_1,flugzeugmechaniker_1_1) )).++fof(fact_9295,axiom,(+ sub(fl__366tenspielerin_1_1,fl__366tenbl__344ser_1_1) )).++fof(fact_9296,axiom,(+ sub(fl__374gelspielerin_1_1,fl__374gelspieler_1_1) )).++fof(fact_9297,axiom,(+ sub(forschungsministerin_1_1,forschungsminister_1_1) )).++fof(fact_9298,axiom,(+ sub(forstwirtin_1_1,forstwirt_1_1) )).++fof(fact_9299,axiom,(+ sub(fraktionschefin_1_1,fraktionsbo__337_1_1) )).++fof(fact_9300,axiom,(+ sub(franziskanerin_1_1,franziskaner__1_1) )).++fof(fact_9301,axiom,(+ sub(franz__366sischlehrerin_1_1,franz__366sischlehrer_1_1) )).++fof(fact_9302,axiom,(+ sub(freidenkerin_1_1,freidenker_1_1) )).++fof(fact_9303,axiom,(+ sub(freiheitsstatue_1_1,statue_1_1) )).++fof(fact_9304,axiom,(+ sub(freimaurerin_1_1,freimaurer_1_1) )).++fof(fact_9305,axiom,(+ sub(freistilschwimmerin_1_1,freistilschwimmer_1_1) )).++fof(fact_9306,axiom,(+ sub(freitagsgesellschaft_1_2,gesellschaft_1_2) )).++fof(fact_9307,axiom,(+ sub(freizeitmalerin_1_1,freizeitmaler_1_1) )).++fof(fact_9308,axiom,(+ sub(fremdenf__374hrerin_1_1,fremden_f__374hrer_1_1) )).++fof(fact_9309,axiom,(+ sub(friseurmeisterin_1_1,coiffeurmeister_1_1) )).++fof(fact_9310,axiom,(+ sub(fruehjahr_1_1,jahr__1_1) )).++fof(fact_9311,axiom,(+ sub(fr__344serin_1_1,fr__344se_1_1) )).++fof(fact_9312,axiom,(+ sub(fr__374haufsteherin_1_1,fr__374haufsteher_1_1) )).++fof(fact_9313,axiom,(+ sub(fr__374hrentnerin_1_1,fr__374hpension__344r_1_1) )).++fof(fact_9314,axiom,(+ sub(fundamentalistin_1_1,fundamentalist_1_1) )).++fof(fact_9315,axiom,(+ sub(funkrockband_2_1,band_2_1) )).++fof(fact_9316,axiom,(+ sub(funktion__344rin_1_1,funktion__344r_1_1) )).++fof(fact_9317,axiom,(+ sub(fussball_spieler_1_1,spieler_1_1) )).++fof(fact_9318,axiom,(+ sub(fussballerin_1_1,fussball_spieler_1_1) )).++fof(fact_9319,axiom,(+ sub(fussg__344ngerin_1_1,fussg__344nger__1_1) )).++fof(fact_9320,axiom,(+ sub(fu__337balllehrerin_1_1,fussball_lehrer_1_1) )).++fof(fact_9321,axiom,(+ sub(f__344ngerin_1_1,f__344nger_1_1) )).++fof(fact_9322,axiom,(+ sub(f__366rdererin_1_1,foerderer_1_1) )).++fof(fact_9323,axiom,(+ sub(f__366rsterin_1_1,f__366rster_1_1) )).++fof(fact_9324,axiom,(+ sub(f__374rsprecherin_1_1,f__374rsprecher__1_1) )).++fof(fact_9325,axiom,(+ sub(f__374rstin_1_1,f__374rst_1_1) )).++fof(fact_9326,axiom,(+ sub(gartenarchitektin_1_1,gartenarchitekt_1_1) )).++fof(fact_9327,axiom,(+ sub(gartenfreundin_1_1,gartenfreund_1_1) )).++fof(fact_9328,axiom,(+ sub(gastarbeiterin_1_1,gastarbeiter_1_1) )).++fof(fact_9329,axiom,(+ sub(gastronomin_1_1,gastronom_1_1) )).++fof(fact_9330,axiom,(+ sub(gastwirtin_1_1,gastwirt_1_1) )).++fof(fact_9331,axiom,(+ sub(gauklerin_1_1,gaukler_1_1) )).++fof(fact_9332,axiom,(+ sub(gaunerin_1_1,b__366sewicht_1_1) )).++fof(fact_9333,axiom,(+ sub(gay_club_1_1,club_1_1) )).++fof(fact_9334,axiom,(+ sub(gebieterin_1_1,gebieter_1_1) )).++fof(fact_9335,axiom,(+ sub(geburtname_1_1,name_1_1) )).++fof(fact_9336,axiom,(+ sub(geburtshelferin_1_1,geburtshelfer_1_1) )).++fof(fact_9337,axiom,(+ sub(gef__344ngnisaufseherin_1_1,gef__344ngnisaufseher_1_1) )).++fof(fact_9338,axiom,(+ sub(gegenspielerin_1_1,antagonist_1_1) )).++fof(fact_9339,axiom,(+ sub(geherin_1_1,geher_1_1) )).++fof(fact_9340,axiom,(+ sub(geigenspielerin_1_1,fiedler_1_1) )).++fof(fact_9341,axiom,(+ sub(geisteswissenschaftlerin_1_1,geisteswissenschaftler_1_1) )).++fof(fact_9342,axiom,(+ sub(geistheilerin_1_1,geistheiler_1_1) )).++fof(fact_9343,axiom,(+ sub(geldgeberin_1_1,finanzier_1_1) )).++fof(fact_9344,axiom,(+ sub(gemeinschaftskundelehrerin_1_1,gemeinschaftskundelehrer_1_1) )).++fof(fact_9345,axiom,(+ sub(generaldirektorin_1_1,generaldirektor_1_1) )).++fof(fact_9346,axiom,(+ sub(generalsekret__344rin_1_1,generalsekretaer_1_1) )).++fof(fact_9347,axiom,(+ sub(genie__337erin_1_1,geniesser_1_1) )).++fof(fact_9348,axiom,(+ sub(gerichtsmedizinerin_1_1,gerichtesmediziner_1_1) )).++fof(fact_9349,axiom,(+ sub(germanistin_1_1,germanist_1_1) )).++fof(fact_9350,axiom,(+ sub(ger__344teturnerin_1_1,ger__344teturner_1_1) )).++fof(fact_9351,axiom,(+ sub(gesamtschullehrerin_1_1,gesamtschullehrer_1_1) )).++fof(fact_9352,axiom,(+ sub(gesch__344ftspartnerin_1_1,gesch__344ftpartner_1_1) )).++fof(fact_9353,axiom,(+ sub(gespr__344chspartnerin_1_1,diskutant_1_1) )).++fof(fact_9354,axiom,(+ sub(gesundheitsministerin_1_1,gesundheitsminister_1_1) )).++fof(fact_9355,axiom,(+ sub(getr__344nkeherstellerin_1_1,getr__344nke_hersteller_1_1) )).++fof(fact_9356,axiom,(+ sub(gewaltt__344terin_1_1,gewaltstraft__344ter_1_1) )).++fof(fact_9357,axiom,(+ sub(gewerkschafterin_1_1,gewerkschafter__1_1) )).++fof(fact_9358,axiom,(+ sub(ghanaerin_1_1,ghanaer_1_1) )).++fof(fact_9359,axiom,(+ sub(gitarrenspielerin_1_1,gitarrenspieler_1_1) )).++fof(fact_9360,axiom,(+ sub(glasbl__344serin_1_1,glasbl__344ser_1_1) )).++fof(fact_9361,axiom,(+ sub(glaserin_1_1,glasbl__344ser_1_1) )).++fof(fact_9362,axiom,(+ sub(glasmalerin_1_1,glasmaler_1_1) )).++fof(fact_9363,axiom,(+ sub(globetrotterin_1_1,globetrotter_1_1) )).++fof(fact_9364,axiom,(+ sub(goldschmiedin_1_1,goldschmied_1_1) )).++fof(fact_9365,axiom,(+ sub(golferin_1_1,golfer_1_1) )).++fof(fact_9366,axiom,(+ sub(gospel_s__344ngerin_1_1,gospel_s__344nger_1_1) )).++fof(fact_9367,axiom,(+ sub(gouverneurin_1_1,gouverneur_1_1) )).++fof(fact_9368,axiom,(+ sub(gralsh__374terin_1_1,gralh__374ter_1_1) )).++fof(fact_9369,axiom,(+ sub(graveurin_1_1,graveur_1_1) )).++fof(fact_9370,axiom,(+ sub(grundfl__344che_1_1,fl__344che_1_1) )).++fof(fact_9371,axiom,(+ sub(grundschullehrerin_1_1,elementarlehrer_1_1) )).++fof(fact_9372,axiom,(+ sub(grundsch__374lerin_1_1,grundsch__374ler_1_1) )).++fof(fact_9373,axiom,(+ sub(grundst__374ckseigent__374merin_1_1,grundst__374ckbesitzer_1_1) )).++fof(fact_9374,axiom,(+ sub(gr__366nl__344nderin_1_1,gr__366nl__344nder_1_1) )).++fof(fact_9375,axiom,(+ sub(gutachterin_1_1,gutachter_1_1) )).++fof(fact_9376,axiom,(+ sub(gymnasiallehrerin_1_1,gymnasiallehrer_1_1) )).++fof(fact_9377,axiom,(+ sub(gymnasialprofessorin_1_1,gymnasialprofessor_1_1) )).++fof(fact_9378,axiom,(+ sub(gymnasiastin_1_1,gymnasiast_1_1) )).++fof(fact_9379,axiom,(+ sub(g__366nnerin_1_1,g__366nner__1_1) )).++fof(fact_9380,axiom,(+ sub(hamburgerin_1_1,hamburger__1_1) )).++fof(fact_9381,axiom,(+ sub(handballerin_1_1,handballer_1_1) )).++fof(fact_9382,axiom,(+ sub(handballtrainerin_1_1,handballcoach_1_1) )).++fof(fact_9383,axiom,(+ sub(handlangerin_1_1,adlatus_1_1) )).++fof(fact_9384,axiom,(+ sub(handschuhmacherin_1_1,handschuhmacher_1_1) )).++fof(fact_9385,axiom,(+ sub(handwerkerin_1_1,handwerker__1_1) )).++fof(fact_9386,axiom,(+ sub(harfenistin_1_1,harfenist_1_1) )).++fof(fact_9387,axiom,(+ sub(hauptdarsteller_1_1,darsteller__1_1) )).++fof(fact_9388,axiom,(+ sub(hauptkommissarin_1_1,hauptkommissar_1_1) )).++fof(fact_9389,axiom,(+ sub(hauptsch__374lerin_1_1,hauptsch__374ler_1_1) )).++fof(fact_9390,axiom,(+ sub(hausbesitzerin_1_1,hausbesitzer_1_1) )).++fof(fact_9391,axiom,(+ sub(hausherrin_1_1,gastgeber_1_1) )).++fof(fact_9392,axiom,(+ sub(haush__344lterin_1_1,haush__344lter_1_1) )).++fof(fact_9393,axiom,(+ sub(hauslehrerin_1_1,hauslehrer_1_1) )).++fof(fact_9394,axiom,(+ sub(hausmeisterin_1_1,abwart_1_1) )).++fof(fact_9395,axiom,(+ sub(hedonistin_1_1,hedonist_1_1) )).++fof(fact_9396,axiom,(+ sub(hehlerin_1_1,hehler_1_1) )).++fof(fact_9397,axiom,(+ sub(heilerin_1_1,heiler_1_1) )).++fof(fact_9398,axiom,(+ sub(heilpraktikerin_1_1,heilpraktiker_1_1) )).++fof(fact_9399,axiom,(+ sub(heilsbringerin_1_1,heilbringer_1_1) )).++fof(fact_9400,axiom,(+ sub(heimatforscherin_1_1,heimatforscher_1_1) )).++fof(fact_9401,axiom,(+ sub(heiratsvermittlerin_1_1,heiratsvermittler_1_1) )).++fof(fact_9402,axiom,(+ sub(hellseherin_1_1,hellseher_1_1) )).++fof(fact_9403,axiom,(+ sub(henkerin_1_1,henker_1_1) )).++fof(fact_9404,axiom,(+ sub(herrenschneiderin_1_1,herrenschneider_1_1) )).++fof(fact_9405,axiom,(+ sub(herrscher__1_1,an_f__374hrer_1_1) )).++fof(fact_9406,axiom,(+ sub(herrscherin_1_1,herrscher__1_1) )).++fof(fact_9407,axiom,(+ sub(herumtreiberin_1_1,hallodri_1_1) )).++fof(fact_9408,axiom,(+ sub(hetzerin_1_1,hetzer_1_1) )).++fof(fact_9409,axiom,(+ sub(hilfslehrerin_1_1,hilfslehrer_1_1) )).++fof(fact_9410,axiom,(+ sub(hinduistin_1_1,hindu__1_1) )).++fof(fact_9411,axiom,(+ sub(hirtin_1_1,hirt_1_1) )).++fof(fact_9412,axiom,(+ sub(hochschullehrerin_1_1,hochschul_lehrer_1_1) )).++fof(fact_9413,axiom,(+ sub(hochsch__374lerin_1_1,hochsch__374ler_1_1) )).++fof(fact_9414,axiom,(+ sub(hochspringerin_1_1,hochspringer_1_1) )).++fof(fact_9415,axiom,(+ sub(hochstaplerin_1_1,hochstapler_1_1) )).++fof(fact_9416,axiom,(+ sub(hockeyspielerin_1_1,hockeyspieler_1_1) )).++fof(fact_9417,axiom,(+ sub(holl__344nderin_1_1,holl__344nder_1_1) )).++fof(fact_9418,axiom,(+ sub(hornistin_1_1,hornist_1_1) )).++fof(fact_9419,axiom,(+ sub(humanmedizinerin_1_1,humanmediziner_1_1) )).++fof(fact_9420,axiom,(+ sub(humoristin_1_1,comedian_1_1) )).++fof(fact_9421,axiom,(+ sub(hundertwasserbahnhof_1_1,abbruchstelle_1_1) )).++fof(fact_9422,axiom,(+ sub(hutmacherin_1_1,hutmacher_1_1) )).++fof(fact_9423,axiom,(+ sub(h__344retikerin_1_1,h__344retiker_1_1) )).++fof(fact_9424,axiom,(+ sub(h__366rerin_1_1,h__366rer_2_1) )).++fof(fact_9425,axiom,(+ sub(h__374rdenl__344uferin_1_1,h__374rdenl__344ufer_1_1) )).++fof(fact_9426,axiom,(+ sub(idealistin_1_1,idealist_1_1) )).++fof(fact_9427,axiom,(+ sub(idiotin_1_1,bl__366dmann_1_1) )).++fof(fact_9428,axiom,(+ sub(immobilienmaklerin_1_1,immobilien_maklerin_1_1) )).++fof(fact_9429,axiom,(+ sub(indianerin_1_1,indianer__1_1) )).++fof(fact_9430,axiom,(+ sub(individualistin_1_1,individualist_1_1) )).++fof(fact_9431,axiom,(+ sub(informatikerin_1_1,informatiker_1_1) )).++fof(fact_9432,axiom,(+ sub(inhaberin_1_1,inhaber__1_1) )).++fof(fact_9433,axiom,(+ sub(innenausstatterin_1_1,innenausstatter_1_1) )).++fof(fact_9434,axiom,(+ sub(innenministerin_1_1,innenminister_1_1) )).++fof(fact_9435,axiom,(+ sub(insiderin_1_1,geheimnistr__344ger_1_1) )).++fof(fact_9436,axiom,(+ sub(instrumentalistin_1_1,instrumentalist_1_1) )).++fof(fact_9437,axiom,(+ sub(interessentin_1_1,interessent_1_1) )).++fof(fact_9438,axiom,(+ sub(internistin_1_1,internist_1_1) )).++fof(fact_9439,axiom,(+ sub(interpretin_1_1,interpret_1_1) )).++fof(fact_9440,axiom,(+ sub(interviewpartnerin_1_1,interviewpartner_1_1) )).++fof(fact_9441,axiom,(+ sub(intrigantin_1_1,intrigant_2_1) )).++fof(fact_9442,axiom,(+ sub(investorin_1_1,investor_1_1) )).++fof(fact_9443,axiom,(+ sub(iranerin_1_1,iraner_1_1) )).++fof(fact_9444,axiom,(+ sub(isl__344nderin_1_1,isl__344nder_1_1) )).++fof(fact_9445,axiom,(+ sub(it_spezialistin_1_1,it_spezialist_1_1) )).++fof(fact_9446,axiom,(+ sub(ja_sagerin_1_1,ja_sager_1_1) )).++fof(fact_9447,axiom,(+ sub(jamaikanerin_1_1,jamaikaner_1_1) )).++fof(fact_9448,axiom,(+ sub(jemenitin_1_1,jemenit_1_1) )).++fof(fact_9449,axiom,(+ sub(jodlerin_1_1,jodler_1_1) )).++fof(fact_9450,axiom,(+ sub(jordanierin_1_1,jordanier_1_1) )).++fof(fact_9451,axiom,(+ sub(jubilarin_1_1,jubilar_1_1) )).++fof(fact_9452,axiom,(+ sub(jugendmeisterin_1_1,jugendchampion_1_1) )).++fof(fact_9453,axiom,(+ sub(jugendpflegerin_1_1,jugendpfleger_1_1) )).++fof(fact_9454,axiom,(+ sub(jungsozialistin_1_1,jungsozialist_1_1) )).++fof(fact_9455,axiom,(+ sub(jungw__344hlerin_1_1,jungw__344hler_1_1) )).++fof(fact_9456,axiom,(+ sub(justizministerin_1_1,justizminister_1_1) )).++fof(fact_9457,axiom,(+ sub(juwelierin_1_1,juwelier_1_1) )).++fof(fact_9458,axiom,(+ sub(j__374ngerin_1_1,adept_1_1) )).++fof(fact_9459,axiom,(+ sub(kabarettistin_1_1,comedian_1_1) )).++fof(fact_9460,axiom,(+ sub(kaiserin_1_1,kaiser__1_1) )).++fof(fact_9461,axiom,(+ sub(kajakfahrerin_1_1,kajakfahrer_1_1) )).++fof(fact_9462,axiom,(+ sub(kambodschanerin_1_1,kambodschaner_1_1) )).++fof(fact_9463,axiom,(+ sub(kameradin_1_1,gef__344hrte_1_1) )).++fof(fact_9464,axiom,(+ sub(kamerunerin_1_1,kameruner_1_1) )).++fof(fact_9465,axiom,(+ sub(kampfrichterin_1_1,kampfrichter_1_1) )).++fof(fact_9466,axiom,(+ sub(kanzlerkandidatin_1_1,kanzlerkandidat_1_1) )).++fof(fact_9467,axiom,(+ sub(kapitalistin_1_1,kapitalist_1_1) )).++fof(fact_9468,axiom,(+ sub(karnevalistin_1_1,karnevalist_1_1) )).++fof(fact_9469,axiom,(+ sub(kartenlegerin_1_1,kartenleger_2_1) )).++fof(fact_9470,axiom,(+ sub(kassenverwalterin_1_1,kassenverwalter_1_1) )).++fof(fact_9471,axiom,(+ sub(keeperin_1_1,goalie_1_1) )).++fof(fact_9472,axiom,(+ sub(kennerin_1_1,kenner__1_1) )).++fof(fact_9473,axiom,(+ sub(keramikerin_1_1,keramiker_1_1) )).++fof(fact_9474,axiom,(+ sub(kidnapperin_1_1,entf__374hrer_1_1) )).++fof(fact_9475,axiom,(+ sub(kifferin_1_1,kiffer_1_1) )).++fof(fact_9476,axiom,(+ sub(kilimandscharo_massiv_2_1,massiv_2_1) )).++fof(fact_9477,axiom,(+ sub(killerin_1_1,killer_1_1) )).++fof(fact_9478,axiom,(+ sub(kinderg__344rtnerin_1_1,kinderg__344rtner_1_1) )).++fof(fact_9479,axiom,(+ sub(kirchg__344ngerin_1_1,kircheng__344nger_1_1) )).++fof(fact_9480,axiom,(+ sub(kirchmeisterin_1_1,kirchenmeister_1_1) )).++fof(fact_9481,axiom,(+ sub(klarinettenspielerin_1_1,klarinettenspieler_1_1) )).++fof(fact_9482,axiom,(+ sub(klassenkameradin_1_1,klassengef__344hrte_1_1) )).++fof(fact_9483,axiom,(+ sub(klassenlehrerin_1_1,klassenlehrer_1_1) )).++fof(fact_9484,axiom,(+ sub(klassensprecherin_1_1,klassensprecher_1_1) )).++fof(fact_9485,axiom,(+ sub(klavierspielerin_1_1,klavierspieler_1_1) )).++fof(fact_9486,axiom,(+ sub(kleing__344rtnerin_1_1,kleing__344rtner_1_1) )).++fof(fact_9487,axiom,(+ sub(kleinh__344ndlerin_1_1,h__366ker_1_1) )).++fof(fact_9488,axiom,(+ sub(kolumbianerin_1_1,kolumbianer_1_1) )).++fof(fact_9489,axiom,(+ sub(komikerin_1_1,comedian_1_1) )).++fof(fact_9490,axiom,(+ sub(kommandantin_1_1,befehlshaber_1_1) )).++fof(fact_9491,axiom,(+ sub(kommandeurin_1_1,befehlshaber_1_1) )).++fof(fact_9492,axiom,(+ sub(kommentatorin_1_1,kommentator_1_1) )).++fof(fact_9493,axiom,(+ sub(kommunalpolitikerin_1_1,kommunalpolitiker_1_1) )).++fof(fact_9494,axiom,(+ sub(kommunikationspartnerin_1_1,kommunikationspartner_1_1) )).++fof(fact_9495,axiom,(+ sub(kommunistin_1_1,kommunist_1_1) )).++fof(fact_9496,axiom,(+ sub(konditorin_1_1,konditor_1_1) )).++fof(fact_9497,axiom,(+ sub(konfirmandin_1_1,konfirmand_1_1) )).++fof(fact_9498,axiom,(+ sub(konrektorin_1_1,konrektor_1_1) )).++fof(fact_9499,axiom,(+ sub(kontrabassistin_1_1,kontrabassist_1_1) )).++fof(fact_9500,axiom,(+ sub(kontrahentin_1_1,gegenpart_1_1) )).++fof(fact_9501,axiom,(+ sub(konzertveranstalterin_1_1,konzertveranstalter_1_1) )).++fof(fact_9502,axiom,(+ sub(kopistin_1_1,abschreiber_1_1) )).++fof(fact_9503,axiom,(+ sub(koreanerin_1_1,koreaner__1_1) )).++fof(fact_9504,axiom,(+ sub(kosmetikerin_1_1,kosmetiker_1_1) )).++fof(fact_9505,axiom,(+ sub(kraftfahrerin_1_1,fernfahrer_1_1) )).++fof(fact_9506,axiom,(+ sub(krankengymnastin_1_1,kranken_gymnastin_1_1) )).++fof(fact_9507,axiom,(+ sub(krebspatientin_1_1,krebspatient_1_1) )).++fof(fact_9508,axiom,(+ sub(kriegerin_1_1,krieger__1_1) )).++fof(fact_9509,axiom,(+ sub(kriegsverbrecherin_1_1,kriegsverbrecher_1_1) )).++fof(fact_9510,axiom,(+ sub(kubanerin_1_1,kubaner_1_1) )).++fof(fact_9511,axiom,(+ sub(kugelsto__337erin_1_1,kugelstosser_1_1) )).++fof(fact_9512,axiom,(+ sub(kuhhirtin_1_1,kuhhirt_1_1) )).++fof(fact_9513,axiom,(+ sub(kulturdezernentin_1_1,kulturdezernent_1_1) )).++fof(fact_9514,axiom,(+ sub(kulturwissenschaftlerin_1_1,kulturwissenschaftler_1_1) )).++fof(fact_9515,axiom,(+ sub(kultusministerin_1_1,kultminister_1_1) )).++fof(fact_9516,axiom,(+ sub(kundschafterin_1_1,kundschafter_1_1) )).++fof(fact_9517,axiom,(+ sub(kunstfreundin_1_1,kunstfreund_1_1) )).++fof(fact_9518,axiom,(+ sub(kunsthistorikerin_1_1,kunsthistoriker_1_1) )).++fof(fact_9519,axiom,(+ sub(kunstlehrerin_1_1,kunstlehrer_1_1) )).++fof(fact_9520,axiom,(+ sub(kunstturnerin_1_1,kunstturner_1_1) )).++fof(fact_9521,axiom,(+ sub(kursleiterin_1_1,kursleiter_1_1) )).++fof(fact_9522,axiom,(+ sub(kuwaiterin_1_1,kuwaiter_1_1) )).++fof(fact_9523,axiom,(+ sub(kyotoprotokoll_1_1,protokoll_1_1) )).++fof(fact_9524,axiom,(+ sub(k__344mpferin_1_1,k__344mpfer_1_1) )).++fof(fact_9525,axiom,(+ sub(k__366lnerin_1_1,koelner_1_1) )).++fof(fact_9526,axiom,(+ sub(k__366nigin_1_1,k__366nig_1_1) )).++fof(fact_9527,axiom,(+ sub(lackiererin_1_1,lackierer_1_1) )).++fof(fact_9528,axiom,(+ sub(ladendiebin_1_1,ladendieb_1_1) )).++fof(fact_9529,axiom,(+ sub(lagenschwimmerin_1_1,lagenschwimmer_1_1) )).++fof(fact_9530,axiom,(+ sub(laienrichterin_1_1,laienrichter_1_1) )).++fof(fact_9531,axiom,(+ sub(landarbeiterin_1_1,landarbeiter__1_1) )).++fof(fact_9532,axiom,(+ sub(landesministerin_1_1,landesminister_1_1) )).++fof(fact_9533,axiom,(+ sub(landesvater_1_1,oberhaupt_1_1) )).++fof(fact_9534,axiom,(+ sub(landstreicherin_1_1,clochard_1_1) )).++fof(fact_9535,axiom,(+ sub(landwirtin_1_1,grundbesitzer_1_1) )).++fof(fact_9536,axiom,(+ sub(langl__344uferin_1_1,langl__344ufer_1_1) )).++fof(fact_9537,axiom,(+ sub(lateinlehrerin_1_1,lateinlehrer_1_1) )).++fof(fact_9538,axiom,(+ sub(lautenspielerin_1_1,lautenspieler_1_1) )).++fof(fact_9539,axiom,(+ sub(leadgitarrist_1_1,gitarrenspieler_1_1) )).++fof(fact_9540,axiom,(+ sub(leads__344nger_1_1,gesangsolist_1_1) )).++fof(fact_9541,axiom,(+ sub(lebenshaus_1_1,haus_1_1) )).++fof(fact_9542,axiom,(+ sub(lebenspartnerin_1_1,lebensabschnittsgef__344hrte_1_1) )).++fof(fact_9543,axiom,(+ sub(legion__344rin_1_1,legion__344r_1_1) )).++fof(fact_9544,axiom,(+ sub(leibw__344chterin_1_1,bodyguard_1_1) )).++fof(fact_9545,axiom,(+ sub(leichtathletiktrainerin_1_1,leichtathletiktrainer_1_1) )).++fof(fact_9546,axiom,(+ sub(leichtathletin_1_1,leichtathlet_1_1) )).++fof(fact_9547,axiom,(+ sub(leistungssportlerin_1_1,leistungsportler_1_1) )).++fof(fact_9548,axiom,(+ sub(leserin_1_1,leser__1_1) )).++fof(fact_9549,axiom,(+ sub(lieblingsschauspielerin_1_1,lieblingsdarsteller_1_1) )).++fof(fact_9550,axiom,(+ sub(liedermacherin_1_1,liedermacher_1_1) )).++fof(fact_9551,axiom,(+ sub(linguistin_1_1,linguist_1_1) )).++fof(fact_9552,axiom,(+ sub(litauerin_1_1,litauer_1_1) )).++fof(fact_9553,axiom,(+ sub(literaturnobelpreis_1_1,nobelpreis_1_1) )).++fof(fact_9554,axiom,(+ sub(lobbyistin_1_1,lobbyist_1_1) )).++fof(fact_9555,axiom,(+ sub(lokal_matadorin_1_1,lokal_matador_1_1) )).++fof(fact_9556,axiom,(+ sub(lottospielerin_1_1,lottospieler_1_1) )).++fof(fact_9557,axiom,(+ sub(lumpensammlerin_1_1,lumpensammler_1_1) )).++fof(fact_9558,axiom,(+ sub(luxemburgerin_1_1,luxemburger_1_1) )).++fof(fact_9559,axiom,(+ sub(l__366wenb__344ndigerin_1_1,l__366wenb__344ndiger_1_1) )).++fof(fact_9560,axiom,(+ sub(l__374gnerin_1_1,l__374gner_1_1) )).++fof(fact_9561,axiom,(+ sub(machthaberin_1_1,machthaber_1_1) )).++fof(fact_9562,axiom,(+ sub(magierin_1_1,magier__1_1) )).++fof(fact_9563,axiom,(+ sub(magistratin_1_1,magistrat_1_1) )).++fof(fact_9564,axiom,(+ sub(maklerin_1_1,makler__1_1) )).++fof(fact_9565,axiom,(+ sub(malaysierin_1_1,malaysier_1_1) )).++fof(fact_9566,axiom,(+ sub(managerin_1_1,f__374hrungskraft_1_1) )).++fof(fact_9567,axiom,(+ sub(marathonl__344uferin_1_1,marathonl__344ufer_1_1) )).++fof(fact_9568,axiom,(+ sub(marktforscherin_1_1,demoskop_1_1) )).++fof(fact_9569,axiom,(+ sub(marxistin_1_1,marxist_1_1) )).++fof(fact_9570,axiom,(+ sub(maschinenschlosserin_1_1,maschinenschlosser_1_1) )).++fof(fact_9571,axiom,(+ sub(maskenbildnerin_1_1,maskenbildner_1_1) )).++fof(fact_9572,axiom,(+ sub(massenm__366rderin_1_1,massenkiller_1_1) )).++fof(fact_9573,axiom,(+ sub(mathelehrerin_1_1,mathelehrer_1_1) )).++fof(fact_9574,axiom,(+ sub(ma__337schneiderin_1_1,ma__337schneider_1_1) )).++fof(fact_9575,axiom,(+ sub(mecklenburgerin_1_1,mecklenburger__1_1) )).++fof(fact_9576,axiom,(+ sub(medaillengewinnerin_1_1,medaillengewinner_1_1) )).++fof(fact_9577,axiom,(+ sub(meistersch__374lerin_1_1,meistersch__374ler__1_1) )).++fof(fact_9578,axiom,(+ sub(melkerin_1_1,melker_1_1) )).++fof(fact_9579,axiom,(+ sub(mennonitin_1_1,mennonit_1_1) )).++fof(fact_9580,axiom,(+ sub(menschenfresserin_1_1,anthropophage_1_1) )).++fof(fact_9581,axiom,(+ sub(menschenfreundin_1_1,menschenfreund_1_1) )).++fof(fact_9582,axiom,(+ sub(mesnerin_1_1,mesner_1_1) )).++fof(fact_9583,axiom,(+ sub(metallarbeiterin_1_1,metallarbeiter_1_1) )).++fof(fact_9584,axiom,(+ sub(methodistin_1_1,methodist_1_1) )).++fof(fact_9585,axiom,(+ sub(metzgerin_1_1,fleischer__1_1) )).++fof(fact_9586,axiom,(+ sub(mexikanerin_1_1,mexikaner_1_1) )).++fof(fact_9587,axiom,(+ sub(mieterin_1_1,mieter__1_1) )).++fof(fact_9588,axiom,(+ sub(milchm__344dchen_1_1,senner_1_1) )).++fof(fact_9589,axiom,(+ sub(milchverarbeiterin_1_1,milchverarbeiter_1_1) )).++fof(fact_9590,axiom,(+ sub(mitbewerberin_1_1,mitbewerber_1_1) )).++fof(fact_9591,axiom,(+ sub(mitb__374rgerin_1_1,mitb__374rger_1_1) )).++fof(fact_9592,axiom,(+ sub(miteigent__374merin_1_1,kompagnon_1_1) )).++fof(fact_9593,axiom,(+ sub(mitfahrerin_1_1,mitfahrer_1_1) )).++fof(fact_9594,axiom,(+ sub(mitgr__374nderin_1_1,gr__374ndungmitglied_1_1) )).++fof(fact_9595,axiom,(+ sub(mitsch__374lerin_1_1,klassengef__344hrte_1_1) )).++fof(fact_9596,axiom,(+ sub(mitspielerin_1_1,mitspieler_1_1) )).++fof(fact_9597,axiom,(+ sub(mitstreiterin_1_1,mitstreiter_1_1) )).++fof(fact_9598,axiom,(+ sub(mittelfeldspielerin_1_1,mittelfeldspieler_1_1) )).++fof(fact_9599,axiom,(+ sub(mittelschullehrerin_1_1,mittelschul_lehrer_1_1) )).++fof(fact_9600,axiom,(+ sub(mittelsch__374lerin_1_1,mittelsch__374ler_1_1) )).++fof(fact_9601,axiom,(+ sub(mittelstreckenl__344uferin_1_1,mittelstreckenl__344ufer_1_1) )).++fof(fact_9602,axiom,(+ sub(mittelst__374rmerin_1_1,mittelst__374rmer_1_1) )).++fof(fact_9603,axiom,(+ sub(modedesignerin_1_1,modedesigner_1_1) )).++fof(fact_9604,axiom,(+ sub(modefotograf_1_1,fotograf_1_1) )).++fof(fact_9605,axiom,(+ sub(mofafahrerin_1_1,mofafahrer_1_1) )).++fof(fact_9606,axiom,(+ sub(montagearbeiterin_1_1,montagearbeiter_1_1) )).++fof(fact_9607,axiom,(+ sub(moralistin_1_1,moralist_1_1) )).++fof(fact_9608,axiom,(+ sub(mordkommissarin_1_1,mordkommissar_1_1) )).++fof(fact_9609,axiom,(+ sub(mosambikanerin_1_1,mosambikaner_1_1) )).++fof(fact_9610,axiom,(+ sub(motorradfahrerin_1_1,motorradfahrer_1_1) )).++fof(fact_9611,axiom,(+ sub(museumsf__374hrerin_1_1,museumschef_1_1) )).++fof(fact_9612,axiom,(+ sub(musikantin_1_1,musikant_1_1) )).++fof(fact_9613,axiom,(+ sub(musikfreundin_1_1,musikfreund_1_1) )).++fof(fact_9614,axiom,(+ sub(musikredakteurin_1_1,musikredakteur_1_1) )).++fof(fact_9615,axiom,(+ sub(m__344rtyrerin_1_1,m__344rtyrer_1_1) )).++fof(fact_9616,axiom,(+ sub(m__344zenin_1_1,maezen_1_1) )).++fof(fact_9617,axiom,(+ sub(m__374llerin_1_1,m__374ller__1_1) )).++fof(fact_9618,axiom,(+ sub(nachla__337verwalterin_1_1,erbschaftsverwalter_1_1) )).++fof(fact_9619,axiom,(+ sub(nachrichtensprecherin_1_1,nachrichtensprecher_1_1) )).++fof(fact_9620,axiom,(+ sub(nationalistin_1_1,nationalist_1_1) )).++fof(fact_9621,axiom,(+ sub(nationalsozialistin_1_1,nationalsozialist_1_1) )).++fof(fact_9622,axiom,(+ sub(nationalspielerin_1_1,nationalspieler_1_1) )).++fof(fact_9623,axiom,(+ sub(naturforscherin_1_1,naturforscher_1_1) )).++fof(fact_9624,axiom,(+ sub(naturfreundin_1_1,naturfreund_1_1) )).++fof(fact_9625,axiom,(+ sub(natursch__374tzerin_1_1,natursch__374tzer_1_1) )).++fof(fact_9626,axiom,(+ sub(naturwissenschaftlerin_1_1,naturforscher_1_1) )).++fof(fact_9627,axiom,(+ sub(negerin_1_1,mohr_1_1) )).++fof(fact_9628,axiom,(+ sub(neub__374rgerin_1_1,neub__374rger_1_1) )).++fof(fact_9629,axiom,(+ sub(neurotikerin_1_1,neurotiker_1_1) )).++fof(fact_9630,axiom,(+ sub(neuseel__344nderin_1_1,neuseelaender_1_1) )).++fof(fact_9631,axiom,(+ sub(newcomerin_1_1,neueinsteiger_1_1) )).++fof(fact_9632,axiom,(+ sub(nichtraucherin_1_1,nichtraucher_1_1) )).++fof(fact_9633,axiom,(+ sub(nigerianerin_1_1,nigerianer_1_1) )).++fof(fact_9634,axiom,(+ sub(nordafrikanerin_1_1,nordafrikaner_1_1) )).++fof(fact_9635,axiom,(+ sub(notarin_1_1,notar_1_1) )).++fof(fact_9636,axiom,(+ sub(nutzniesserin_1_1,nutzniesser_1_1) )).++fof(fact_9637,axiom,(+ sub(n__344herin_1_1,n__344her_3_1) )).++fof(fact_9638,axiom,(+ sub(oboistin_1_1,oboist_1_1) )).++fof(fact_9639,axiom,(+ sub(offizierin_1_1,offizier_1_1) )).++fof(fact_9640,axiom,(+ sub(olympiasiegerin_1_1,olympia_siegerin_1_1) )).++fof(fact_9641,axiom,(+ sub(operettens__344ngerin_1_1,operettens__344nger_1_1) )).++fof(fact_9642,axiom,(+ sub(operns__344ngerin_1_1,operns__344nger_1_1) )).++fof(fact_9643,axiom,(+ sub(opfer_1_1,tote_1_1) )).++fof(fact_9644,axiom,(+ sub(oppositionsf__374hrerin_1_1,oppositionschef_1_1) )).++fof(fact_9645,axiom,(+ sub(optimistin_1_1,frohnatur_1_1) )).++fof(fact_9646,axiom,(+ sub(ordnungsh__374terin_1_1,ordnungh__374ter_1_1) )).++fof(fact_9647,axiom,(+ sub(organisatorin_1_1,organisator_1_1) )).++fof(fact_9648,axiom,(+ sub(organistin_1_1,organist_1_1) )).++fof(fact_9649,axiom,(+ sub(ortsvorsteherin_1_1,dorfschulze_1_1) )).++fof(fact_9650,axiom,(+ sub(oscargewinnerin_1_1,oscargewinner_1_1) )).++fof(fact_9651,axiom,(+ sub(ostafrikanerin_1_1,ostafrikaner_1_1) )).++fof(fact_9652,axiom,(+ sub(pakistanerin_1_1,pakistaner_1_1) )).++fof(fact_9653,axiom,(+ sub(papierherstellerin_1_1,papierfabrikant_1_1) )).++fof(fact_9654,axiom,(+ sub(parlamentarierin_1_1,parlamentarier_1_1) )).++fof(fact_9655,axiom,(+ sub(parlamentspr__344sidentin_1_1,parlamentspr__344sident_1_1) )).++fof(fact_9656,axiom,(+ sub(parteichefin_1_1,parteibo__337_1_1) )).++fof(fact_9657,axiom,(+ sub(parteifreundin_1_1,parteifreund_1_1) )).++fof(fact_9658,axiom,(+ sub(partyg__344ngerin_1_1,partyg__344nger_1_1) )).++fof(fact_9659,axiom,(+ sub(passagierin_1_1,passagier__1_1) )).++fof(fact_9660,axiom,(+ sub(pastorin_1_1,pastor_1_1) )).++fof(fact_9661,axiom,(+ sub(patriotin_1_1,patriot_1_1) )).++fof(fact_9662,axiom,(+ sub(pen_kongre__337_1_1,kongre__337_1_1) )).++fof(fact_9663,axiom,(+ sub(pendlerin_1_1,pendler__1_1) )).++fof(fact_9664,axiom,(+ sub(pension__344rin_1_1,pensionist_1_1) )).++fof(fact_9665,axiom,(+ sub(percussionistin_1_1,percussionist_1_1) )).++fof(fact_9666,axiom,(+ sub(personalberaterin_1_1,personalberater_1_1) )).++fof(fact_9667,axiom,(+ sub(peruanerin_1_1,peruaner_1_1) )).++fof(fact_9668,axiom,(+ sub(pessimistin_1_1,pessimist_1_1) )).++fof(fact_9669,axiom,(+ sub(pflegehelferin_1_1,pflegehelfer_1_1) )).++fof(fact_9670,axiom,(+ sub(pharmazeutin_1_1,apotheker__1_1) )).++fof(fact_9671,axiom,(+ sub(photografin_1_1,fotograf_1_1) )).++fof(fact_9672,axiom,(+ sub(physikingenieurin_1_1,physikingenieur_1_1) )).++fof(fact_9673,axiom,(+ sub(physiklehrerin_1_1,physiklehrer_1_1) )).++fof(fact_9674,axiom,(+ sub(physiotherapeutin_1_1,physiotherapeut_1_1) )).++fof(fact_9675,axiom,(+ sub(planerin_1_1,planer_1_1) )).++fof(fact_9676,axiom,(+ sub(poetin_1_1,dichter__1_1) )).++fof(fact_9677,axiom,(+ sub(pokalsiegerin_1_1,pokalgewinner_1_1) )).++fof(fact_9678,axiom,(+ sub(polizeichefin_1_1,polizeichef_1_1) )).++fof(fact_9679,axiom,(+ sub(polizeipr__344sidentin_1_1,polizeipr__344sident_1_1) )).++fof(fact_9680,axiom,(+ sub(pops__344ngerin_1_1,pops__344nger_1_1) )).++fof(fact_9681,axiom,(+ sub(posaunistin_1_1,posaunenspieler_1_1) )).++fof(fact_9682,axiom,(+ sub(praterhauptallee_1_1,allee_1_1) )).++fof(fact_9683,axiom,(+ sub(predigerin_1_1,prediger__1_1) )).++fof(fact_9684,axiom,(+ sub(preisrichterin_1_1,jury__1_1) )).++fof(fact_9685,axiom,(+ sub(premierministerin_1_1,premier__1_1) )).++fof(fact_9686,axiom,(+ sub(presbyterin_1_1,presbyter_1_1) )).++fof(fact_9687,axiom,(+ sub(pressesprecherin_1_1,pressesprecher_1_1) )).++fof(fact_9688,axiom,(+ sub(privatdozentin_1_1,privatdozent_1_1) )).++fof(fact_9689,axiom,(+ sub(privatlehrerin_1_1,privatlehrer_1_1) )).++fof(fact_9690,axiom,(+ sub(prokuristin_1_1,prokurist_1_1) )).++fof(fact_9691,axiom,(+ sub(promovendin_1_1,doktorand_1_1) )).++fof(fact_9692,axiom,(+ sub(prophetin_1_1,prophet_1_1) )).++fof(fact_9693,axiom,(+ sub(protestantin_1_1,protestant_1_1) )).++fof(fact_9694,axiom,(+ sub(protokollantin_1_1,protokollant_1_1) )).++fof(fact_9695,axiom,(+ sub(pr__344sidentin_1_1,pr__344sident_1_1) )).++fof(fact_9696,axiom,(+ sub(psychiaterin_1_1,psychiater_1_1) )).++fof(fact_9697,axiom,(+ sub(psycho_ana_lyse_1_1,analyse_1_1) )).++fof(fact_9698,axiom,(+ sub(psychopathin_1_1,psychopath_1_1) )).++fof(fact_9699,axiom,(+ sub(psychotherapeutin_1_1,psychotherapeut_1_1) )).++fof(fact_9700,axiom,(+ sub(punkerin_1_1,punk_1_1) )).++fof(fact_9701,axiom,(+ sub(puppenmacherin_1_1,puppenmacher_1_1) )).++fof(fact_9702,axiom,(+ sub(puristin_1_1,purist_1_1) )).++fof(fact_9703,axiom,(+ sub(p__344chterin_1_1,mieter__1_1) )).++fof(fact_9704,axiom,(+ sub(quacksalberin_1_1,kurpfuscher_1_1) )).++fof(fact_9705,axiom,(+ sub(querdenkerin_1_1,querdenker_1_1) )).++fof(fact_9706,axiom,(+ sub(quereinsteigerin_1_1,quereinsteiger_1_1) )).++fof(fact_9707,axiom,(+ sub(querulantin_1_1,querulant_1_1) )).++fof(fact_9708,axiom,(+ sub(quizmasterin_1_1,quiz_master_1_1) )).++fof(fact_9709,axiom,(+ sub(radiomoderatorin_1_1,radioansager_1_1) )).++fof(fact_9710,axiom,(+ sub(rapperin_1_1,rapper_1_1) )).++fof(fact_9711,axiom,(+ sub(raserin_1_1,raser_1_1) )).++fof(fact_9712,axiom,(+ sub(rassistin_1_1,rassist_1_1) )).++fof(fact_9713,axiom,(+ sub(ratsherrin_1_1,gemeinderat_1_1) )).++fof(fact_9714,axiom,(+ sub(ratspr__344sidentin_1_1,ratspraesidentin_1_1) )).++fof(fact_9715,axiom,(+ sub(raverin_1_1,raver_1_1) )).++fof(fact_9716,axiom,(+ sub(realistin_1_1,realist_1_1) )).++fof(fact_9717,axiom,(+ sub(rechtswissenschaftlerin_1_1,jurist_1_1) )).++fof(fact_9718,axiom,(+ sub(redakteurin_1_1,redakteur_1_1) )).++fof(fact_9719,axiom,(+ sub(regierungschefin_1_1,landesvater_1_1) )).++fof(fact_9720,axiom,(+ sub(regierungspr__344sidentin_1_1,regierungpr__344sident_1_1) )).++fof(fact_9721,axiom,(+ sub(regierungssprecherin_1_1,regierungsprecher_1_1) )).++fof(fact_9722,axiom,(+ sub(reiseleiterin_1_1,reiseleiter_1_1) )).++fof(fact_9723,axiom,(+ sub(reiseveranstalterin_1_1,reiseveranstalter_1_1) )).++fof(fact_9724,axiom,(+ sub(rekonvaleszentin_1_1,rekonvaleszent_1_1) )).++fof(fact_9725,axiom,(+ sub(rektorin_1_1,direktor_1_1) )).++fof(fact_9726,axiom,(+ sub(relativit__344tstheorie_1_1,theorie__1_1) )).++fof(fact_9727,axiom,(+ sub(religionslehrerin_1_1,religionslehrer_1_1) )).++fof(fact_9728,axiom,(+ sub(religionswissenschaftlerin_1_1,religionswissenschaftler_1_1) )).++fof(fact_9729,axiom,(+ sub(ressortleiterin_1_1,fachgebietsleiter_1_1) )).++fof(fact_9730,axiom,(+ sub(restauradores_platz_1_1,platz_1_1) )).++fof(fact_9731,axiom,(+ sub(retterin_1_1,retter_1_1) )).++fof(fact_9732,axiom,(+ sub(revoluzzerin_1_1,bahnbrechend_1_1) )).++fof(fact_9733,axiom,(+ sub(rockband_3_1,band_3_1) )).++fof(fact_9734,axiom,(+ sub(rockerin_1_1,rocker_1_1) )).++fof(fact_9735,axiom,(+ sub(rocks__344ngerin_1_1,rocksaenger_1_1) )).++fof(fact_9736,axiom,(+ sub(rollerfahrerin_1_1,rollerfahrer_1_1) )).++fof(fact_9737,axiom,(+ sub(rollstuhlfahrerin_1_1,rollstuhlfahrer_1_1) )).++fof(fact_9738,axiom,(+ sub(romanautorin_1_1,romanautor_1_1) )).++fof(fact_9739,axiom,(+ sub(romanistin_1_1,romanist_1_1) )).++fof(fact_9740,axiom,(+ sub(romanvorlage_1_1,vorlage_1_1) )).++fof(fact_9741,axiom,(+ sub(ruhest__344ndlerin_1_1,pensionist_1_1) )).++fof(fact_9742,axiom,(+ sub(russischlehrerin_1_1,russischlehrer_1_1) )).++fof(fact_9743,axiom,(+ sub(r__344cherin_1_1,r__344cher_1_1) )).++fof(fact_9744,axiom,(+ sub(r__344uberin_1_1,raubtier_1_1) )).++fof(fact_9745,axiom,(+ sub(r__374ckenschwimmerin_1_1,r__374ckenschwimmer_1_1) )).++fof(fact_9746,axiom,(+ sub(saarbr__374ckerin_1_1,saarbruecker_1_1) )).++fof(fact_9747,axiom,(+ sub(sachbearbeiterin_1_1,sachbearbeiter_1_1) )).++fof(fact_9748,axiom,(+ sub(satirikerin_1_1,satiriker_1_1) )).++fof(fact_9749,axiom,(+ sub(saxophonistin_1_1,saxophonist_1_1) )).++fof(fact_9750,axiom,(+ sub(schachspielerin_1_1,schachspieler_1_1) )).++fof(fact_9751,axiom,(+ sub(schaffnerin_1_1,kondukteur_1_1) )).++fof(fact_9752,axiom,(+ sub(schankwirtin_1_1,kneipenbetreiber_1_1) )).++fof(fact_9753,axiom,(+ sub(scharfrichterin_1_1,henker_1_1) )).++fof(fact_9754,axiom,(+ sub(scharlatanin_1_1,bauernf__344nger_1_1) )).++fof(fact_9755,axiom,(+ sub(schie__337meisterin_1_1,schie__337meister_1_1) )).++fof(fact_9756,axiom,(+ sub(schiller_ged__344chtnis_preis_1_1,preis_1_1) )).++fof(fact_9757,axiom,(+ sub(schiller_jahr_1_1,jahr__1_1) )).++fof(fact_9758,axiom,(+ sub(schlafwandlerin_1_1,nachtwandler_1_1) )).++fof(fact_9759,axiom,(+ sub(schlagers__344ngerin_1_1,schlagersaengerin_1_1) )).++fof(fact_9760,axiom,(+ sub(schlagers__344ngerin_1_1,s__344ngerin_1_1) )).++fof(fact_9761,axiom,(+ sub(schlagzeugerin_1_1,schlagzeuger_1_1) )).++fof(fact_9762,axiom,(+ sub(schlichterin_1_1,ombudsmann_1_1) )).++fof(fact_9763,axiom,(+ sub(schlu__337l__344uferin_1_1,schlu__337l__344ufer_1_1) )).++fof(fact_9764,axiom,(+ sub(schmiedin_1_1,schmied_1_1) )).++fof(fact_9765,axiom,(+ sub(schmugglerin_1_1,schmuggler__1_1) )).++fof(fact_9766,axiom,(+ sub(schneidermeisterin_1_1,schneidermeister_1_1) )).++fof(fact_9767,axiom,(+ sub(schreiberin_1_1,schreiber__1_1) )).++fof(fact_9768,axiom,(+ sub(schreinerin_1_1,schreiner__1_1) )).++fof(fact_9769,axiom,(+ sub(schriftsetzerin_1_1,schriftsetzer_1_1) )).++fof(fact_9770,axiom,(+ sub(schuhmacherin_1_1,schuhmacher_1_1) )).++fof(fact_9771,axiom,(+ sub(schuhputzerin_1_1,schuhputzer_1_1) )).++fof(fact_9772,axiom,(+ sub(schulanf__344ngerin_1_1,abcsch__374tze_1_1) )).++fof(fact_9773,axiom,(+ sub(schuldezernentin_1_1,schuldezernent_1_1) )).++fof(fact_9774,axiom,(+ sub(schuldirektorin_1_1,schul_direktor_1_1) )).++fof(fact_9775,axiom,(+ sub(schullehrerin_1_1,schul_lehrer_1_1) )).++fof(fact_9776,axiom,(+ sub(schulsprecherin_1_1,schulsprecher_1_1) )).++fof(fact_9777,axiom,(+ sub(schutzpolizistin_1_1,schutzpolizist_1_1) )).++fof(fact_9778,axiom,(+ sub(schwarzarbeiterin_1_1,schwarzarbeiter_1_1) )).++fof(fact_9779,axiom,(+ sub(schwei__337erin_1_1,schweisser_1_1) )).++fof(fact_9780,axiom,(+ sub(schwimmerin_1_1,schwimmer_1_1) )).++fof(fact_9781,axiom,(+ sub(schwimmtrainerin_1_1,schwimm_trainer_1_1) )).++fof(fact_9782,axiom,(+ sub(schwindlerin_1_1,schwindler_1_1) )).++fof(fact_9783,axiom,(+ sub(schw__344tzerin_1_1,schw__344tzer_1_1) )).++fof(fact_9784,axiom,(+ sub(sch__344ferin_1_1,schafshirt_1_1) )).++fof(fact_9785,axiom,(+ sub(sch__366nheitschirurgin_1_1,sch__366nheitschirurg_1_1) )).++fof(fact_9786,axiom,(+ sub(sch__374tzenk__366nigin_1_1,sch__374tzenk__366nig_1_1) )).++fof(fact_9787,axiom,(+ sub(seefahrerin_1_1,matrose_1_1) )).++fof(fact_9788,axiom,(+ sub(seelsorgerin_1_1,kleriker_1_1) )).++fof(fact_9789,axiom,(+ sub(seilt__344nzerin_1_1,seilt__344nzer_1_1) )).++fof(fact_9790,axiom,(+ sub(sektenanh__344ngerin_1_1,sektenanh__344nger_1_1) )).++fof(fact_9791,axiom,(+ sub(senkrechtstarterin_1_1,durchstarter_1_1) )).++fof(fact_9792,axiom,(+ sub(serienm__366rderin_1_1,serienkiller_1_1) )).++fof(fact_9793,axiom,(+ sub(serient__344terin_1_1,serienstraft__344ter_1_1) )).++fof(fact_9794,axiom,(+ sub(show_masterin_1_1,show_master_1_1) )).++fof(fact_9795,axiom,(+ sub(siebenk__344mpferin_1_1,siebenk__344mpfer_1_1) )).++fof(fact_9796,axiom,(+ sub(siedlerin_1_1,ansiedler_1_1) )).++fof(fact_9797,axiom,(+ sub(siegess__344ule_1_1,saeule_1_1) )).++fof(fact_9798,axiom,(+ sub(singlepreis_1_1,preis_1_1) )).++fof(fact_9799,axiom,(+ sub(skandinavierin_1_1,skandinavier_1_1) )).++fof(fact_9800,axiom,(+ sub(skandinavistin_1_1,skandinavist_1_1) )).++fof(fact_9801,axiom,(+ sub(solistin_1_1,solist_1_1) )).++fof(fact_9802,axiom,(+ sub(solos__344ngerin_1_1,solos__344nger_1_1) )).++fof(fact_9803,axiom,(+ sub(sonderschullehrerin_1_1,hilfslehrer_1_1) )).++fof(fact_9804,axiom,(+ sub(sozialarbeiterin_1_1,sozialarbeiter_1_1) )).++fof(fact_9805,axiom,(+ sub(sozialdemokratin_1_1,sozialdemokrat_1_1) )).++fof(fact_9806,axiom,(+ sub(sozialdezernentin_1_1,sozialdezernent_1_1) )).++fof(fact_9807,axiom,(+ sub(sozialhilfeempf__344ngerin_1_1,sozialhilfe_empf__344ngerin_1_1) )).++fof(fact_9808,axiom,(+ sub(sozialistin_1_1,sozialist_1_1) )).++fof(fact_9809,axiom,(+ sub(sozialministerin_1_1,sozialminister_1_1) )).++fof(fact_9810,axiom,(+ sub(sozialtherapeutin_1_1,sozialtherapeut_1_1) )).++fof(fact_9811,axiom,(+ sub(sozialwissenschaftlerin_1_1,sozialforscher_1_1) )).++fof(fact_9812,axiom,(+ sub(spanierin_1_1,spanier_1_1) )).++fof(fact_9813,axiom,(+ sub(spazierg__344ngerin_1_1,spaziergaenger_1_1) )).++fof(fact_9814,axiom,(+ sub(speerwerferin_1_1,speerwerfer_1_1) )).++fof(fact_9815,axiom,(+ sub(spekulantin_1_1,spekulant_1_1) )).++fof(fact_9816,axiom,(+ sub(spenderin_1_1,spender_1_1) )).++fof(fact_9817,axiom,(+ sub(spezialistin_1_1,spezialist_1_1) )).++fof(fact_9818,axiom,(+ sub(spielf__374hrerin_1_1,spielf__374hrer_1_1) )).++fof(fact_9819,axiom,(+ sub(spielleiterin_1_1,regisseur_1_1) )).++fof(fact_9820,axiom,(+ sub(spielverderberin_1_1,pessimist_1_1) )).++fof(fact_9821,axiom,(+ sub(spionin_1_1,spion__1_1) )).++fof(fact_9822,axiom,(+ sub(spitzname_1_1,name_1_1) )).++fof(fact_9823,axiom,(+ sub(sportlehrerin_1_1,sportlehrer_1_1) )).++fof(fact_9824,axiom,(+ sub(sportsfreundin_1_1,sportfreund_1_1) )).++fof(fact_9825,axiom,(+ sub(sportwartin_1_1,sportwart_1_1) )).++fof(fact_9826,axiom,(+ sub(sprachtherapeutin_1_1,logop__344de_1_1) )).++fof(fact_9827,axiom,(+ sub(springerin_1_1,docke_1_1) )).++fof(fact_9828,axiom,(+ sub(springreiterin_1_1,springreiter__1_1) )).++fof(fact_9829,axiom,(+ sub(staatb__374rgerin_1_1,landesmann_1_1) )).++fof(fact_9830,axiom,(+ sub(staatsekret__344rin_1_1,staatsekret__344r_1_1) )).++fof(fact_9831,axiom,(+ sub(staatspr__344sidentin_1_1,staatpr__344sident_1_1) )).++fof(fact_9832,axiom,(+ sub(stabhochspringerin_1_1,stabhochspringer_1_1) )).++fof(fact_9833,axiom,(+ sub(staffell__344uferin_1_1,staffell__344ufer_1_1) )).++fof(fact_9834,axiom,(+ sub(stalinistin_1_1,stalinist_1_1) )).++fof(fact_9835,axiom,(+ sub(stammhalterin_1_1,sohn_1_1) )).++fof(fact_9836,axiom,(+ sub(starterin_1_1,anlasser_1_1) )).++fof(fact_9837,axiom,(+ sub(startl__344uferin_1_1,startl__344ufer_1_1) )).++fof(fact_9838,axiom,(+ sub(statistikerin_1_1,statistiker_1_1) )).++fof(fact_9839,axiom,(+ sub(steinmetzin_1_1,bildhauer_1_1) )).++fof(fact_9840,axiom,(+ sub(stellvertreterin_1_1,stellvertreter_1_1) )).++fof(fact_9841,axiom,(+ sub(stenotypistin_1_1,stenotypist_1_1) )).++fof(fact_9842,axiom,(+ sub(steuerberaterin_1_1,steuerberater__1_1) )).++fof(fact_9843,axiom,(+ sub(steuers__374nderin_1_1,steuerhinterzieher_1_1) )).++fof(fact_9844,axiom,(+ sub(steuerzahlerin_1_1,steuerzahler_1_1) )).++fof(fact_9845,axiom,(+ sub(stickerin_1_1,aufkleber_1_1) )).++fof(fact_9846,axiom,(+ sub(stipendiatin_1_1,stipendiat_1_1) )).++fof(fact_9847,axiom,(+ sub(stra__337enmusikantin_1_1,strassenmusikant_1_1) )).++fof(fact_9848,axiom,(+ sub(streberin_1_1,streber_1_1) )).++fof(fact_9849,axiom,(+ sub(streetworkerin_1_1,streetworker_1_1) )).++fof(fact_9850,axiom,(+ sub(streicherin_1_1,streicher__1_1) )).++fof(fact_9851,axiom,(+ sub(studiendirektorin_1_1,studiendirektor_1_1) )).++fof(fact_9852,axiom,(+ sub(stuttgarterin_1_1,stuttgarter_2_1) )).++fof(fact_9853,axiom,(+ sub(st__374mperin_1_1,dilettant_1_1) )).++fof(fact_9854,axiom,(+ sub(st__374rmerin_1_1,st__374rmer__1_1) )).++fof(fact_9855,axiom,(+ sub(sympathisantin_1_1,sympathisant_1_1) )).++fof(fact_9856,axiom,(+ sub(syrierin_1_1,syrier_1_1) )).++fof(fact_9857,axiom,(+ sub(s__374nderin_1_1,s__374nder_1_1) )).++fof(fact_9858,axiom,(+ sub(talk_masterin_1_1,talk_master_1_1) )).++fof(fact_9859,axiom,(+ sub(tansanierin_1_1,tansanier_1_1) )).++fof(fact_9860,axiom,(+ sub(taxifahrerin_1_1,taxifahrer_1_1) )).++fof(fact_9861,axiom,(+ sub(technikerin_1_1,techniker__1_1) )).++fof(fact_9862,axiom,(+ sub(teilnehmerin_1_1,teilenehmer_1_1) )).++fof(fact_9863,axiom,(+ sub(tennisspielerin_1_1,tennisspieler_1_1) )).++fof(fact_9864,axiom,(+ sub(tennistrainerin_1_1,tenniscoach_1_1) )).++fof(fact_9865,axiom,(+ sub(textilarbeiterin_1_1,textilarbeiter_1_1) )).++fof(fact_9866,axiom,(+ sub(thail__344nderin_1_1,thai_1_1) )).++fof(fact_9867,axiom,(+ sub(tibeterin_1_1,tibeter__1_1) )).++fof(fact_9868,axiom,(+ sub(tierfreundin_1_1,tierfreund_1_1) )).++fof(fact_9869,axiom,(+ sub(tierhalterin_1_1,tierhalter_1_1) )).++fof(fact_9870,axiom,(+ sub(tierpflegerin_1_1,tierpfleger_1_1) )).++fof(fact_9871,axiom,(+ sub(tischlerin_1_1,tischler__1_1) )).++fof(fact_9872,axiom,(+ sub(tischtennisspielerin_1_1,tischtennisspieler_1_1) )).++fof(fact_9873,axiom,(+ sub(titelverteidigerin_1_1,titelverteidiger_1_1) )).++fof(fact_9874,axiom,(+ sub(togoerin_1_1,togoer_1_1) )).++fof(fact_9875,axiom,(+ sub(torj__344gerin_1_1,torj__344ger_1_1) )).++fof(fact_9876,axiom,(+ sub(torsch__374tzenk__366nigin_1_1,torsch__374tzenk__366nig_1_1) )).++fof(fact_9877,axiom,(+ sub(transportministerin_1_1,transportminister_1_1) )).++fof(fact_9878,axiom,(+ sub(transvestitin_1_1,transvestit_1_1) )).++fof(fact_9879,axiom,(+ sub(trendsetterin_1_1,trendsetter_1_1) )).++fof(fact_9880,axiom,(+ sub(trommlerin_1_1,trommelspieler_1_1) )).++fof(fact_9881,axiom,(+ sub(trompeterin_1_1,trompetenspieler_1_1) )).++fof(fact_9882,axiom,(+ sub(tr__344gerin_1_1,traegerin_1_1) )).++fof(fact_9883,axiom,(+ sub(tr__366dlerin_1_1,tr__366dler_1_1) )).++fof(fact_9884,axiom,(+ sub(tunesierin_1_1,tunesier_1_1) )).++fof(fact_9885,axiom,(+ sub(turmspringerin_1_1,turmspringer_1_1) )).++fof(fact_9886,axiom,(+ sub(tyrannin_1_1,tyrann_1_1) )).++fof(fact_9887,axiom,(+ sub(t__366pferin_1_1,t__366pfer__1_1) )).++fof(fact_9888,axiom,(+ sub(uganderin_1_1,ugander_1_1) )).++fof(fact_9889,axiom,(+ sub(uhrmacherin_1_1,uhrenmacher_1_1) )).++fof(fact_9890,axiom,(+ sub(ukrainerin_1_1,ukrainer_1_1) )).++fof(fact_9891,axiom,(+ sub(umweltdezernentin_1_1,umweltdezernent_1_1) )).++fof(fact_9892,axiom,(+ sub(umweltministerin_1_1,umweltminister_1_1) )).++fof(fact_9893,axiom,(+ sub(undercover_agentin_1_1,undercover_agent_1_1) )).++fof(fact_9894,axiom,(+ sub(unkinderhilfswerk_1_1,hilfswerk_1_1) )).++fof(fact_9895,axiom,(+ sub(unruhestifterin_1_1,unruhestifter_1_1) )).++fof(fact_9896,axiom,(+ sub(untergrundk__344mpferin_1_1,untergrundk__344mpfer_1_1) )).++fof(fact_9897,axiom,(+ sub(unterh__344ndlerin_1_1,unterhaendler_1_1) )).++fof(fact_9898,axiom,(+ sub(untermieterin_1_1,untermieter_1_1) )).++fof(fact_9899,axiom,(+ sub(unternehmensberaterin_1_1,consultant_1_1) )).++fof(fact_9900,axiom,(+ sub(untertanin_1_1,untertan_1_1) )).++fof(fact_9901,axiom,(+ sub(ureinwohnerin_1_1,urbewohner_1_1) )).++fof(fact_9902,axiom,(+ sub(urlauberin_1_1,tourist_1_1) )).++fof(fact_9903,axiom,(+ sub(uspr__344sident_1_1,pr__344sident_1_1) )).++fof(fact_9904,axiom,(+ sub(vaterlandsverr__344terin_1_1,vaterlandsverr__344ter_1_1) )).++fof(fact_9905,axiom,(+ sub(venezolanerin_1_1,venezolaner_1_1) )).++fof(fact_9906,axiom,(+ sub(veranstalterin_1_1,veranstalter_1_1) )).++fof(fact_9907,axiom,(+ sub(verbraucherin_1_1,konsument_1_1) )).++fof(fact_9908,axiom,(+ sub(verbraucherschutzministerin_1_1,verbraucherschutzminister_1_1) )).++fof(fact_9909,axiom,(+ sub(verbrecherin_1_1,verbrecher__1_1) )).++fof(fact_9910,axiom,(+ sub(vereinstrainerin_1_1,vereinscoach_1_1) )).++fof(fact_9911,axiom,(+ sub(verfechterin_1_1,verfechter_1_1) )).++fof(fact_9912,axiom,(+ sub(verfolgerin_1_1,verfolger_1_1) )).++fof(fact_9913,axiom,(+ sub(verf__374hrerin_1_1,verf__374hrer_1_1) )).++fof(fact_9914,axiom,(+ sub(verkehrspolizistin_1_1,transportpolizist_1_1) )).++fof(fact_9915,axiom,(+ sub(verkehrss__374nderin_1_1,verkehrsrowdy_1_1) )).++fof(fact_9916,axiom,(+ sub(verkehrsteilnehmerin_1_1,verkehrsteilnehmer_1_1) )).++fof(fact_9917,axiom,(+ sub(vermittlerin_1_1,vermittler_1_2) )).++fof(fact_9918,axiom,(+ sub(verm__366gensberaterin_1_1,verm__366gensberater_1_1) )).++fof(fact_9919,axiom,(+ sub(verr__344terin_1_1,denunziant_1_1) )).++fof(fact_9920,axiom,(+ sub(versagerin_1_1,niete_1_1) )).++fof(fact_9921,axiom,(+ sub(verschwenderin_1_1,verschwender_1_1) )).++fof(fact_9922,axiom,(+ sub(verschw__366rerin_1_1,verschw__366rer_1_1) )).++fof(fact_9923,axiom,(+ sub(verteidigungsministerin_1_1,verteidigungminister_1_1) )).++fof(fact_9924,axiom,(+ sub(vertrauenslehrerin_1_1,vertrauenslehrer_1_1) )).++fof(fact_9925,axiom,(+ sub(verwalterin_1_1,verwalter_1_1) )).++fof(fact_9926,axiom,(+ sub(verwaltungschefin_1_1,verwaltungschef_1_1) )).++fof(fact_9927,axiom,(+ sub(veterin__344rin_1_1,tierarzt__1_1) )).++fof(fact_9928,axiom,(+ sub(violaspielerin_1_1,bratschenspieler_1_1) )).++fof(fact_9929,axiom,(+ sub(vizepr__344sidentin_1_1,vizepraesident_1_1) )).++fof(fact_9930,axiom,(+ sub(volksvertreterin_1_1,parlamentarier_1_1) )).++fof(fact_9931,axiom,(+ sub(volleyballspielerin_1_1,volleyballer_1_1) )).++fof(fact_9932,axiom,(+ sub(volleyballtrainerin_1_1,volleyballtrainer_1_1) )).++fof(fact_9933,axiom,(+ sub(volvounternehmen_1_1,unternehmen_1_1) )).++fof(fact_9934,axiom,(+ sub(vorarbeiterin_1_1,vorarbeiter_1_1) )).++fof(fact_9935,axiom,(+ sub(vormieterin_1_1,vormieter_1_1) )).++fof(fact_9936,axiom,(+ sub(vorsitzende_1_1,an_f__374hrer_1_1) )).++fof(fact_9937,axiom,(+ sub(vorstandschefin_1_1,vorstandchef_1_1) )).++fof(fact_9938,axiom,(+ sub(vorsteherin_1_1,vorsteher_1_1) )).++fof(fact_9939,axiom,(+ sub(vors__344ngerin_1_1,vors__344nger_1_1) )).++fof(fact_9940,axiom,(+ sub(voyeurin_1_1,spanner_1_1) )).++fof(fact_9941,axiom,(+ sub(wahrsagerin_1_1,prophet_1_1) )).++fof(fact_9942,axiom,(+ sub(waldarbeiterin_1_1,forstarbeiter_1_1) )).++fof(fact_9943,axiom,(+ sub(waliserin_1_1,waliser_1_1) )).++fof(fact_9944,axiom,(+ sub(wasserskil__344uferin_1_1,wasserskifahrer_1_1) )).++fof(fact_9945,axiom,(+ sub(wassersportlerin_1_1,wassersportler_1_1) )).++fof(fact_9946,axiom,(+ sub(weberin_1_1,weber__1_1) )).++fof(fact_9947,axiom,(+ sub(wechselw__344hlerin_1_1,wechselw__344hler_1_1) )).++fof(fact_9948,axiom,(+ sub(wehrkraft_1_1,macht_1_1) )).++fof(fact_9949,axiom,(+ sub(weitspringerin_1_1,weitspringer_1_1) )).++fof(fact_9950,axiom,(+ sub(werferin_1_1,werfer_1_1) )).++fof(fact_9951,axiom,(+ sub(werkzeugmacherin_1_1,werkzeugmacher_1_1) )).++fof(fact_9952,axiom,(+ sub(westeurop__344erin_1_1,westeurop__344er_1_1) )).++fof(fact_9953,axiom,(+ sub(wettbewerberin_1_1,mitbewerber_1_1) )).++fof(fact_9954,axiom,(+ sub(wettbewerbsh__374terin_1_1,wettbewerbsh__374ter_1_1) )).++fof(fact_9955,axiom,(+ sub(widersacherin_1_1,gegenpart_1_1) )).++fof(fact_9956,axiom,(+ sub(widerstandk__344mpferin_1_1,oppositionsk__344mpfer_1_1) )).++fof(fact_9957,axiom,(+ sub(wiesbadenerin_1_1,wiesbadener__1_1) )).++fof(fact_9958,axiom,(+ sub(windsurferin_1_1,windsurfer_1_1) )).++fof(fact_9959,axiom,(+ sub(winzerin_1_1,weinbauer_1_1) )).++fof(fact_9960,axiom,(+ sub(wirtschaftsinformatikerin_1_1,wirtschaftinformatiker_1_1) )).++fof(fact_9961,axiom,(+ sub(wirtschaftsministerin_1_1,wirtschaftminister_1_1) )).++fof(fact_9962,axiom,(+ sub(wirtschaftspr__374ferin_1_1,wirtschaftpr__374fer_1_1) )).++fof(fact_9963,axiom,(+ sub(wirtschaftswissenschaftlerin_1_1,volkswirtschaftler_1_1) )).++fof(fact_9964,axiom,(+ sub(wissenschaftsministerin_1_1,wissenschaftsminister_1_1) )).++fof(fact_9965,axiom,(+ sub(wohlt__344terin_1_1,menschenfreund_1_1) )).++fof(fact_9966,axiom,(+ sub(wohnungseigent__374merin_1_1,wohnungsbesitzer_1_1) )).++fof(fact_9967,axiom,(+ sub(wortf__374hrerin_1_1,wortchef_1_1) )).++fof(fact_9968,axiom,(+ sub(w__344chterin_1_1,bewacher_1_1) )).++fof(fact_9969,axiom,(+ sub(w__344hrungsh__374terin_1_1,w__344hrungh__374ter_1_1) )).++fof(fact_9970,axiom,(+ sub(w__344scheschneiderin_1_1,w__344scheschneider_1_1) )).++fof(fact_9971,axiom,(+ sub(w__374rdentr__344gerin_1_1,wuerdentraeger_1_1) )).++fof(fact_9972,axiom,(+ sub(zahlerin_1_1,zahler_1_1) )).++fof(fact_9973,axiom,(+ sub(zahntechnikerin_1_1,zahntechniker_1_1) )).++fof(fact_9974,axiom,(+ sub(zairerin_1_1,zairer_1_1) )).++fof(fact_9975,axiom,(+ sub(zarin_1_1,zar_1_1) )).++fof(fact_9976,axiom,(+ sub(zauberk__374nstlerin_1_1,zauberer_1_1) )).++fof(fact_9977,axiom,(+ sub(zehnk__344mpferin_1_1,zehnk__344mpfer_1_1) )).++fof(fact_9978,axiom,(+ sub(zeichnerin_1_1,zeichner_1_1) )).++fof(fact_9979,axiom,(+ sub(zentralbankchefin_1_1,zentralbankchef_1_1) )).++fof(fact_9980,axiom,(+ sub(ziegenhirtin_1_1,ziegenhirt_1_1) )).++fof(fact_9981,axiom,(+ sub(zisterzienserin_1_1,zisterzienser_1_1) )).++fof(fact_9982,axiom,(+ sub(zitherspielerin_1_1,zitherspieler_1_1) )).++fof(fact_9983,axiom,(+ sub(zivilistin_1_1,zivilist_1_1) )).++fof(fact_9984,axiom,(+ sub(zuschauerin_1_1,zuschauer__1_1) )).++fof(fact_9985,axiom,(+ sub(zwangsarbeiterin_1_1,zwangarbeiter_1_1) )).++fof(fact_9986,axiom,(+ sub(zweiradfahrerin_1_1,biker__1_1) )).++fof(fact_9987,axiom,(+ sub(zwischenh__344ndlerin_1_1,mittelsmann_1_1) )).++fof(fact_9988,axiom,(+ sub(zynikerin_1_1,sp__366tter_1_1) )).++fof(fact_9989,axiom,(+ sub(zypriotin_1_1,zypriot_1_1) )).++fof(fact_9990,axiom,(+ sub(z__366llnerin_1_1,grenzer_1_1) )).++fof(fact_9991,axiom,(+ sub(z__374chterin_1_1,tierz__374chter_1_1) )).++fof(fact_9992,axiom,(+ sub(n344gypterin_1_1,aegypter_1_1) )).++fof(fact_9993,axiom,(+ sub(n344nderungsschneiderin_1_1,n344nderungsschneider_1_1) )).++fof(fact_9994,axiom,(+ sub(n344sthetin_1_1,aesthet_1_1) )).++fof(fact_9995,axiom,(+ sub(n344thiopierin_1_1,aethiopier_1_1) )).++fof(fact_9996,axiom,(+ sub(n374berl__344uferin_1_1,deserteur_1_1) )).++fof(fact_9997,axiom,(+ subs(computermesse_1_1,messe_1_1) )).++fof(fact_9998,axiom,(+ subs(mauerfall_1_1,fall_1_1) )).++fof(fact_9999,axiom,(+ subs(opernball_1_1,ball_2_1) )).++fof(fact_10000,axiom,(+ subs(untergrundbewegung_1_1,bewegung_1_1) )).++fof(fact_10001,axiom,(+ subs(vietnamkrieg_1_1,krieg__1_1) )).++fof(fact_10002,axiom,(+ subs(x_com_serie_1_1,reihe_1_2) )).++fof(fact_10003,axiom,(+ temporal_attribute(jahr__1_1,dummy_0) )).++fof(fact_10004,axiom,(+ temporal_attribute(monat_1_1,dummy_0) )).++fof(fact_10005,axiom,(+ temporal_attribute(tag_1_1,dummy_0) )).++fof(fact_10006,axiom,(+ temporal_attribute(woche_1_1,dummy_0) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO004+0.ax view
@@ -0,0 +1,152 @@+%--------------------------------------------------------------------------+% File : GEO004+0 : TPTP v7.2.0. Released v2.4.0.+% Domain : Geometry (Oriented curves)+% Axioms : Simple curve axioms+% Version : [EHK99] axioms.+% English :++% Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv+% : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto+% Source : [EHK99]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 16 ( 1 unit)+% Number of atoms : 67 ( 10 equality)+% Maximal formula depth : 12 ( 7 average)+% Number of connectives : 55 ( 4 ~ ; 9 |; 21 &)+% ( 9 <=>; 12 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 8 ( 0 propositional; 1-3 arity)+% Number of functors : 1 ( 0 constant; 2-2 arity)+% Number of variables : 53 ( 0 singleton; 44 !; 9 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+fof(part_of_defn,axiom,+ ( ! [C,C1] :+ ( part_of(C1,C)+ <=> ! [P] :+ ( incident_c(P,C1)+ => incident_c(P,C) ) ) )).++fof(sum_defn,axiom,+ ( ! [C,C1,C2] :+ ( C = sum(C1,C2)+ <=> ! [Q] :+ ( incident_c(Q,C)+ <=> ( incident_c(Q,C1)+ | incident_c(Q,C2) ) ) ) )).++fof(end_point_defn,axiom,+ ( ! [P,C] :+ ( end_point(P,C)+ <=> ( incident_c(P,C)+ & ! [C1,C2] :+ ( ( part_of(C1,C)+ & part_of(C2,C)+ & incident_c(P,C1)+ & incident_c(P,C2) )+ => ( part_of(C1,C2)+ | part_of(C2,C1) ) ) ) ) )).++fof(inner_point_defn,axiom,+ ( ! [P,C] :+ ( inner_point(P,C)+ <=> ( incident_c(P,C)+ & ~ end_point(P,C) ) ) )).++fof(meet_defn,axiom,+ ( ! [P,C,C1] :+ ( meet(P,C,C1)+ <=> ( incident_c(P,C)+ & incident_c(P,C1)+ & ! [Q] :+ ( ( incident_c(Q,C)+ & incident_c(Q,C1) )+ => ( end_point(Q,C)+ & end_point(Q,C1) ) ) ) ) )).++fof(closed_defn,axiom,+ ( ! [C] :+ ( closed(C)+ <=> ~ ( ? [P] : end_point(P,C) ) ) )).++fof(open_defn,axiom,+ ( ! [C] :+ ( open(C)+ <=> ? [P] : end_point(P,C) ) )).++fof(c1,axiom,+ ( ! [C,C1] :+ ( ( part_of(C1,C)+ & C1 != C )+ => open(C1) ) )).++fof(c2,axiom,+ ( ! [C,C1,C2,C3] :+ ( ( part_of(C1,C)+ & part_of(C2,C)+ & part_of(C3,C)+ & ? [P] :+ ( end_point(P,C1)+ & end_point(P,C2)+ & end_point(P,C3) ) )+ => ( part_of(C2,C3)+ | part_of(C3,C2)+ | part_of(C1,C2)+ | part_of(C2,C1)+ | part_of(C1,C3)+ | part_of(C3,C1) ) ) )).++fof(c3,axiom,+ ( ! [C] :+ ? [P] : inner_point(P,C) )).++fof(c4,axiom,+ ( ! [C,P] :+ ( inner_point(P,C)+ => ? [C1,C2] :+ ( meet(P,C1,C2)+ & C = sum(C1,C2) ) ) )).++fof(c5,axiom,+ ( ! [C,P,Q,R] :+ ( ( end_point(P,C)+ & end_point(Q,C)+ & end_point(R,C) )+ => ( P = Q+ | P = R+ | Q = R ) ) )).++fof(c6,axiom,+ ( ! [C,P] :+ ( end_point(P,C)+ => ? [Q] :+ ( end_point(Q,C)+ & P != Q ) ) )).++fof(c7,axiom,+ ( ! [C,C1,C2,P] :+ ( ( closed(C)+ & meet(P,C1,C2)+ & C = sum(C1,C2) )+ => ! [Q] :+ ( end_point(Q,C1)+ => meet(Q,C1,C2) ) ) )).++fof(c8,axiom,+ ( ! [C1,C2] :+ ( ? [P] : meet(P,C1,C2)+ => ? [C] : C = sum(C1,C2) ) )).++fof(c9,axiom,+ ( ! [C,C1] :+ ( ! [P] :+ ( incident_c(P,C)+ <=> incident_c(P,C1) )+ => C = C1 ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/GEO004+1.ax view
@@ -0,0 +1,38 @@+%--------------------------------------------------------------------------+% File : GEO004+1 : TPTP v7.2.0. Released v2.4.0.+% Domain : Geometry (Oriented curves)+% Axioms : Betweenness for simple curves+% Version : [EHK99] axioms.+% English :++% Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv+% : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto+% Source : [EHK99]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 1 ( 0 unit)+% Number of atoms : 6 ( 1 equality)+% Maximal formula depth : 11 ( 11 average)+% Number of connectives : 6 ( 1 ~ ; 0 |; 4 &)+% ( 1 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 5 ( 0 propositional; 2-4 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 5 ( 0 singleton; 4 !; 1 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires GEO004+0.ax+%--------------------------------------------------------------------------+fof(between_c_defn,axiom,+ ( ! [C,P,Q,R] :+ ( between_c(C,P,Q,R)+ <=> ( P != R+ & ? [Cpp] :+ ( part_of(Cpp,C)+ & end_point(P,Cpp)+ & end_point(R,Cpp)+ & inner_point(Q,Cpp) ) ) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/GEO004+2.ax view
@@ -0,0 +1,107 @@+%--------------------------------------------------------------------------+% File : GEO004+2 : TPTP v7.2.0. Released v2.4.0.+% Domain : Geometry (Oriented curves)+% Axioms : Oriented curves+% Version : [EHK99] axioms.+% English :++% Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv+% : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto+% Source : [EHK99]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 10 ( 1 unit)+% Number of atoms : 39 ( 5 equality)+% Maximal formula depth : 10 ( 7 average)+% Number of connectives : 32 ( 3 ~ ; 1 |; 13 &)+% ( 10 <=>; 5 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 9 ( 0 propositional; 1-4 arity)+% Number of functors : 1 ( 0 constant; 1-1 arity)+% Number of variables : 36 ( 0 singleton; 32 !; 4 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires GEO004+0.ax GEO004+1.ax+%--------------------------------------------------------------------------+fof(between_o_defn,axiom,+ ( ! [O,P,Q,R] :+ ( between_o(O,P,Q,R)+ <=> ( ( ordered_by(O,P,Q)+ & ordered_by(O,Q,R) )+ | ( ordered_by(O,R,Q)+ & ordered_by(O,Q,P) ) ) ) )).++fof(start_point_defn,axiom,+ ( ! [P,O] :+ ( start_point(P,O)+ <=> ( incident_o(P,O)+ & ! [Q] :+ ( ( P != Q+ & incident_o(Q,O) )+ => ordered_by(O,P,Q) ) ) ) )).++fof(finish_point_defn,axiom,+ ( ! [P,O] :+ ( finish_point(P,O)+ <=> ( incident_o(P,O)+ & ! [Q] :+ ( ( P != Q+ & incident_o(Q,O) )+ => ordered_by(O,Q,P) ) ) ) )).++fof(o1,axiom,+ ( ! [O,P,Q] :+ ( ordered_by(O,P,Q)+ => ( incident_o(P,O)+ & incident_o(Q,O) ) ) )).++fof(o2,axiom,+ ( ! [O] :+ ? [C] :+ ( open(C)+ & ! [P] :+ ( incident_o(P,O)+ <=> incident_c(P,C) ) ) )).++fof(o3,axiom,+ ( ! [P,Q,R,O] :+ ( between_o(O,P,Q,R)+ <=> ? [C] :+ ( ! [P] :+ ( incident_o(P,O)+ <=> incident_c(P,C) )+ & between_c(C,P,Q,R) ) ) )).++fof(o4,axiom,+ ( ! [O] :+ ? [P] : start_point(P,O) )).++fof(o5,axiom,+ ( ! [P,Q,C] :+ ( ( open(C)+ & P != Q+ & incident_c(P,C)+ & incident_c(Q,C) )+ => ? [O] :+ ( ! [R] :+ ( incident_o(R,O)+ <=> incident_c(R,C) )+ & ordered_by(O,P,Q) ) ) )).++fof(o6,axiom,+ ( ! [O1,O2] :+ ( ! [P,Q] :+ ( ordered_by(O1,P,Q)+ <=> ordered_by(O2,P,Q) )+ => O1 = O2 ) )).++fof(underlying_curve_defn,axiom,+ ( ! [C,O] :+ ( C = underlying_curve(O)+ <=> ! [P] :+ ( incident_o(P,O)+ <=> incident_c(P,C) ) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/GEO004+3.ax view
@@ -0,0 +1,76 @@+%--------------------------------------------------------------------------+% File : GEO004+3 : TPTP v7.2.0. Released v2.4.0.+% Domain : Geometry (Oriented curves)+% Axioms : Trajectories+% Version : [EHK99] axioms.+% English :++% Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv+% : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto+% Source : [EHK99]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 9 ( 1 unit)+% Number of atoms : 20 ( 1 equality)+% Maximal formula depth : 10 ( 5 average)+% Number of connectives : 12 ( 1 ~ ; 0 |; 3 &)+% ( 4 <=>; 4 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 5 ( 0 propositional; 1-3 arity)+% Number of functors : 3 ( 0 constant; 1-2 arity)+% Number of variables : 24 ( 0 singleton; 22 !; 2 ?)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires GEO004+0.ax GEO004+1.ax GEO004+2.ax+%--------------------------------------------------------------------------+fof(connect_defn,axiom,+ ( ! [X,Y,P] :+ ( connect(X,Y,P)+ <=> once(at_the_same_time(at(X,P),at(Y,P))) ) )).++fof(symmetry_of_at_the_same_time,axiom,+ ( ! [A,B] :+ ( once(at_the_same_time(A,B))+ <=> once(at_the_same_time(B,A)) ) )).++fof(assciativity_of_at_the_same_time,axiom,+ ( ! [A,B,C] :+ ( once(at_the_same_time(at_the_same_time(A,B),C))+ <=> once(at_the_same_time(A,at_the_same_time(B,C))) ) )).++fof(idempotence_of_at_the_same_time,axiom,+ ( ! [A] :+ ( once(A)+ => once(at_the_same_time(A,A)) ) )).++fof(conjunction_at_the_same_time,axiom,+ ( ! [A,B] :+ ( once(at_the_same_time(A,B))+ => ( once(A)+ & once(B) ) ) )).++fof(at_on_trajectory,axiom,+ ( ! [X,P] :+ ( once(at(X,P))+ <=> incident_o(P,trajectory_of(X)) ) )).++fof(trajectories_are_oriented_curves,axiom,+ ( ! [X] :+ ? [O] : trajectory_of(X) = O )).++fof(homogeneous_behaviour,axiom,+ ( ! [P1,P2,Q1,Q2,X,Y] :+ ( ( once(at_the_same_time(at(X,P1),at(Y,P2)))+ & once(at_the_same_time(at(X,Q1),at(Y,Q2))) )+ => ~ ( ordered_by(trajectory_of(X),P1,Q1)+ & ordered_by(trajectory_of(Y),Q2,P2) ) ) )).++fof(localization,axiom,+ ( ! [A] :+ ( once(A)+ => ! [X] :+ ? [P] : once(at_the_same_time(A,at(X,P))) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/GEO006+0.ax view
@@ -0,0 +1,105 @@+%------------------------------------------------------------------------------+% File : GEO006+0 : TPTP v7.2.0. Released v3.3.0.+% Domain : Geometry (Constructive)+% Axioms : Apartness geometry+% Version : [vPl95] axioms.+% English :++% Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry+% Source : [ILTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 14 ( 3 unit)+% Number of atoms : 35 ( 0 equality)+% Maximal formula depth : 9 ( 5 average)+% Number of connectives : 28 ( 7 ~ ; 9 |; 1 &)+% ( 0 <=>; 11 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 4 ( 0 propositional; 2-2 arity)+% Number of functors : 2 ( 0 constant; 2-2 arity)+% Number of variables : 33 ( 0 singleton; 33 !; 0 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Apartness for distinct points, distinct lines, convergent lines+fof(apart1,axiom,(+ ! [X] : ~ distinct_points(X,X) )).++fof(apart2,axiom,(+ ! [X] : ~ distinct_lines(X,X) )).++fof(apart3,axiom,(+ ! [X] : ~ convergent_lines(X,X) )).++fof(apart4,axiom,(+ ! [X,Y,Z] :+ ( distinct_points(X,Y)+ => ( distinct_points(X,Z)+ | distinct_points(Y,Z) ) ) )).++fof(apart5,axiom,(+ ! [X,Y,Z] :+ ( distinct_lines(X,Y)+ => ( distinct_lines(X,Z)+ | distinct_lines(Y,Z) ) ) )).++fof(ax6,axiom,(+ ! [X,Y,Z] :+ ( convergent_lines(X,Y)+ => ( convergent_lines(X,Z)+ | convergent_lines(Y,Z) ) ) )).++%----Connecting lines and intersection points+fof(ci1,axiom,(+ ! [X,Y] :+ ( distinct_points(X,Y)+ => ~ apart_point_and_line(X,line_connecting(X,Y)) ) )).++fof(ci2,axiom,(+ ! [X,Y] :+ ( distinct_points(X,Y)+ => ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )).++fof(ci3,axiom,(+ ! [X,Y] :+ ( convergent_lines(X,Y)+ => ~ apart_point_and_line(intersection_point(X,Y),X) ) )).++fof(ci4,axiom,(+ ! [X,Y] :+ ( convergent_lines(X,Y)+ => ~ apart_point_and_line(intersection_point(X,Y),Y) ) )).++%----Constructive uniqueness axiom for lines and points+fof(cu1,axiom,(+ ! [X,Y,U,V] :+ ( ( distinct_points(X,Y)+ & distinct_lines(U,V) )+ => ( apart_point_and_line(X,U)+ | apart_point_and_line(X,V)+ | apart_point_and_line(Y,U)+ | apart_point_and_line(Y,V) ) ) )).++%----Compatibility of equality with apartness and convergence+fof(ceq1,axiom,(+ ! [X,Y,Z] :+ ( apart_point_and_line(X,Y)+ => ( distinct_points(X,Z)+ | apart_point_and_line(Z,Y) ) ) )).++fof(ceq2,axiom,(+ ! [X,Y,Z] :+ ( apart_point_and_line(X,Y)+ => ( distinct_lines(Y,Z)+ | apart_point_and_line(X,Z) ) ) )).++fof(ceq3,axiom,(+ ! [X,Y,Z] :+ ( convergent_lines(X,Y)+ => ( distinct_lines(Y,Z)+ | convergent_lines(X,Z) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO006+1.ax view
@@ -0,0 +1,32 @@+%------------------------------------------------------------------------------+% File : GEO006+1 : TPTP v7.2.0. Released v3.3.0.+% Domain : Geometry (Constructive)+% Axioms : Projective geometry+% Version : [vPl95] axioms.+% English :++% Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry+% Source : [ILTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 1 ( 0 unit)+% Number of atoms : 2 ( 0 equality)+% Maximal formula depth : 4 ( 4 average)+% Number of connectives : 1 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 1 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 2 ( 0 singleton; 2 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires GEO006+0+%------------------------------------------------------------------------------+fof(p1,axiom,(+ ! [X,Y] :+ ( distinct_lines(X,Y)+ => convergent_lines(X,Y) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO006+2.ax view
@@ -0,0 +1,42 @@+%------------------------------------------------------------------------------+% File : GEO006+2 : TPTP v7.2.0. Released v3.3.0.+% Domain : Geometry (Constructive)+% Axioms : Affine geometry+% Version : [vPl95] axioms.+% English :++% Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry+% Source : [ILTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 3 ( 2 unit)+% Number of atoms : 6 ( 0 equality)+% Maximal formula depth : 7 ( 5 average)+% Number of connectives : 5 ( 2 ~ ; 2 |; 0 &)+% ( 0 <=>; 1 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 3 ( 0 propositional; 2-2 arity)+% Number of functors : 1 ( 0 constant; 2-2 arity)+% Number of variables : 7 ( 0 singleton; 7 !; 0 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires GEO006+0+%------------------------------------------------------------------------------+%----Axioms for constructed parallels+fof(cp1,axiom,(+ ! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y) )).++fof(cp2,axiom,(+ ! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)) )).++%----Constructive uniqueness axiom for parallels+fof(cup1,axiom,(+ ! [X,Y,Z] :+ ( distinct_lines(Y,Z)+ => ( apart_point_and_line(X,Y)+ | apart_point_and_line(X,Z)+ | convergent_lines(Y,Z) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO006+3.ax view
@@ -0,0 +1,59 @@+%------------------------------------------------------------------------------+% File : GEO006+3 : TPTP v7.2.0. Released v3.3.0.+% Domain : Geometry (Constructive)+% Axioms : Orthogonality+% Version : [vPl95] axioms.+% English :++% Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry+% Source : [ILTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 5 ( 2 unit)+% Number of atoms : 15 ( 0 equality)+% Maximal formula depth : 9 ( 6 average)+% Number of connectives : 12 ( 2 ~ ; 5 |; 3 &)+% ( 0 <=>; 2 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 4 ( 0 propositional; 2-2 arity)+% Number of functors : 1 ( 0 constant; 2-2 arity)+% Number of variables : 13 ( 0 singleton; 13 !; 0 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires GEO006+0, GEO006+2+%------------------------------------------------------------------------------+%----Compatibility of convergence and unorthogonality+fof(occu1,axiom,(+ ! [L,M] :+ ( convergent_lines(L,M)+ | unorthogonal_lines(L,M) ) )).++%----Apartness axiom for the conjunction of convergence and unorthogonality+fof(oac1,axiom,(+ ! [L,M,N] :+ ( ( convergent_lines(L,M)+ & unorthogonal_lines(L,M) )+ => ( ( convergent_lines(L,N)+ & unorthogonal_lines(L,N) )+ | ( convergent_lines(M,N)+ & unorthogonal_lines(M,N) ) ) ) )).++%----Axioms for the orthogonal construction+fof(ooc1,axiom,(+ ! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L) )).++fof(ooc2,axiom,(+ ! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)) )).++%----Constructive uniqueness axiom for orthogonals+fof(ouo1,axiom,(+ ! [A,L,M,N] :+ ( distinct_lines(L,M)+ => ( apart_point_and_line(A,L)+ | apart_point_and_line(A,M)+ | unorthogonal_lines(L,N)+ | unorthogonal_lines(M,N) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO006+4.ax view
@@ -0,0 +1,49 @@+%------------------------------------------------------------------------------+% File : GEO006+4 : TPTP v7.2.0. Released v3.3.0.+% Domain : Geometry (Constructive)+% Axioms : Classical orthogonality+% Version : [vPl95] axioms.+% English :++% Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry+% Source : [ILTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 3 ( 0 unit)+% Number of atoms : 11 ( 0 equality)+% Maximal formula depth : 8 ( 7 average)+% Number of connectives : 20 ( 12 ~ ; 3 |; 3 &)+% ( 0 <=>; 2 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 8 ( 0 singleton; 8 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires GEO006+0, GEO006+2 ????????+%------------------------------------------------------------------------------+%----Incompatibility of parallelism and orthogonality+fof(coipo1,axiom,(+ ! [L,M] : ~ ( ~ convergent_lines(L,M)+ & ~ unorthogonal_lines(L,M) ) )).++%----Transitivity of nonobliqueness+fof(cotno1,axiom,(+ ! [L,M,N] :+ ( ( ( ~ convergent_lines(L,M)+ | ~ unorthogonal_lines(L,M) )+ & ( ~ convergent_lines(L,N)+ | ~ unorthogonal_lines(L,N) ) )+ => ( ~ convergent_lines(M,N)+ | ~ unorthogonal_lines(M,N) ) ) )).++%----Uniqueness axiom for orthogonality+fof(couo1,axiom,(+ ! [L,M,N] :+ ( ( ~ unorthogonal_lines(L,M)+ & ~ unorthogonal_lines(L,N) )+ => ~ convergent_lines(M,N) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO006+5.ax view
@@ -0,0 +1,57 @@+%------------------------------------------------------------------------------+% File : GEO006+5 : TPTP v7.2.0. Released v3.3.0.+% Domain : Geometry (Constructive)+% Axioms : Rules of construction+% Version : [vPl95] axioms.+% English :++% Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry+% Source : [ILTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 4 ( 0 unit)+% Number of atoms : 14 ( 0 equality)+% Maximal formula depth : 6 ( 6 average)+% Number of connectives : 10 ( 0 ~ ; 0 |; 6 &)+% ( 0 <=>; 4 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 4 ( 0 propositional; 1-2 arity)+% Number of functors : 4 ( 0 constant; 2-2 arity)+% Number of variables : 8 ( 0 singleton; 8 !; 0 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires GEO006+[0-4]+%------------------------------------------------------------------------------+%----Connecting line of points A and B+fof(con1,axiom,(+ ! [A,B] :+ ( ( point(A)+ & point(B)+ & distinct_points(A,B) )+ => line(line_connecting(A,B)) ) )).++%----Intersection point of lines L and M+fof(int1,axiom,(+ ! [L,M] :+ ( ( line(L)+ & line(M)+ & convergent_lines(L,M) )+ => point(intersection_point(L,M)) ) )).++%----Parallel lines+fof(par1,axiom,(+ ! [L,A] :+ ( ( line(L)+ & point(A) )+ => line(parallel_through_point(L,A)) ) )).++%----Orthogonal lines+fof(orth1,axiom,(+ ! [L,A] :+ ( ( line(L)+ & point(A) )+ => line(orthogonal_through_point(L,A)) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO006+6.ax view
@@ -0,0 +1,52 @@+%------------------------------------------------------------------------------+% File : GEO006+6 : TPTP v7.2.0. Released v3.3.0.+% Domain : Geometry (Constructive)+% Axioms : Geometry definitions+% Version : [vPl95] axioms.+% English :++% Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry+% Source : [ILTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 5 ( 0 unit)+% Number of atoms : 10 ( 0 equality)+% Maximal formula depth : 5 ( 5 average)+% Number of connectives : 10 ( 5 ~; 0 |; 0 &)+% ( 5 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 10 ( 0 propositional; 2-2 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 10 ( 0 sgn; 10 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires GEO006+[0-5]+%------------------------------------------------------------------------------+fof(ax1,axiom,(+ ! [X,Y] :+ ( equal_points(X,Y)+ <=> ~ distinct_points(X,Y) ) )).++fof(ax2,axiom,(+ ! [X,Y] :+ ( equal_lines(X,Y)+ <=> ~ distinct_lines(X,Y) ) )).++fof(a3,axiom,(+ ! [X,Y] :+ ( parallel_lines(X,Y)+ <=> ~ convergent_lines(X,Y) ) )).++fof(a4,axiom,(+ ! [X,Y] :+ ( incident_point_and_line(X,Y)+ <=> ~ apart_point_and_line(X,Y) ) )).++fof(a5,axiom,(+ ! [X,Y] :+ ( orthogonal_lines(X,Y)+ <=> ~ unorthogonal_lines(X,Y) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO007+0.ax view
@@ -0,0 +1,220 @@+%------------------------------------------------------------------------------+% File : GEO007+0 : TPTP v7.2.0. Bugfixed v6.4.0.+% Domain : Geometry (Constructive)+% Axioms : Ordered affine geometry+% Version : [vPl98] axioms.+% English :++% Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff+% Source : [ILTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 31 ( 7 unit)+% Number of atoms : 102 ( 0 equality)+% Maximal formula depth : 13 ( 6 average)+% Number of connectives : 87 ( 16 ~; 24 |; 25 &)+% ( 5 <=>; 17 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 12 ( 0 propositional; 1-4 arity)+% Number of functors : 4 ( 0 constant; 1-2 arity)+% Number of variables : 71 ( 0 sgn; 71 !; 0 ?)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments :+% Bugfixes : v6.4.0 - Fixed oag8.+%------------------------------------------------------------------------------+%----Abbreviations+fof(apt_def,axiom,(+ ! [A,L] :+ ( apart_point_and_line(A,L)+ <=> ( left_apart_point(A,L)+ | left_apart_point(A,reverse_line(L)) ) ) )).++fof(con_def,axiom,(+ ! [L,M] :+ ( convergent_lines(L,M)+ <=> ( unequally_directed_lines(L,M)+ & unequally_directed_lines(L,reverse_line(M)) ) ) )).++fof(div_def,axiom,(+ ! [A,B,L] :+ ( divides_points(L,A,B)+ <=> ( ( left_apart_point(A,L)+ & left_apart_point(B,reverse_line(L)) )+ | ( left_apart_point(A,reverse_line(L))+ & left_apart_point(B,L) ) ) ) )).++fof(bf_def,axiom,(+ ! [L,A,B] :+ ( before_on_line(L,A,B)+ <=> ( distinct_points(A,B)+ & ~ ( left_apart_point(A,L)+ | left_apart_point(A,reverse_line(L)) )+ & ~ ( left_apart_point(B,L)+ | left_apart_point(B,reverse_line(L)) )+ & ~ unequally_directed_lines(L,line_connecting(A,B)) ) ) )).++fof(bet_def,axiom,(+ ! [L,A,B,C] :+ ( between_on_line(L,A,B,C)+ <=> ( ( before_on_line(L,A,B)+ & before_on_line(L,B,C) )+ | ( before_on_line(L,C,B)+ & before_on_line(L,B,A) ) ) ) )).++%----General axioms for the basic concepts+fof(oag1,axiom,(+ ! [A] : ~ distinct_points(A,A) )).++fof(oag2,axiom,(+ ! [A,B,C] :+ ( distinct_points(A,B)+ => ( distinct_points(A,C)+ | distinct_points(B,C) ) ) )).++fof(oag3,axiom,(+ ! [L] : ~ distinct_lines(L,L) )).++fof(oag4,axiom,(+ ! [L,M,N] :+ ( distinct_lines(L,M)+ => ( distinct_lines(L,N)+ | distinct_lines(M,N) ) ) )).++fof(oag5,axiom,(+ ! [L] : ~ unequally_directed_lines(L,L) )).++fof(oag6,axiom,(+ ! [L,M,N] :+ ( unequally_directed_lines(L,M)+ => ( unequally_directed_lines(L,N)+ | unequally_directed_lines(M,N) ) ) )).++fof(oag7,axiom,(+ ! [L,M,N] :+ ( ( unequally_directed_lines(L,M)+ & unequally_directed_lines(L,reverse_line(M)) )+ => ( ( unequally_directed_lines(L,N)+ & unequally_directed_lines(L,reverse_line(N)) )+ | ( unequally_directed_lines(M,N)+ & unequally_directed_lines(M,reverse_line(N)) ) ) ) )).++fof(oag8,axiom,(+ ! [L,M] :+ ( ( line(L)+ & line(M) )+ => ( unequally_directed_lines(L,M)+ | unequally_directed_lines(L,reverse_line(M)) ) ) )).++fof(oag9,axiom,(+ ! [L,M] :+ ( ( unequally_directed_lines(L,M)+ & unequally_directed_lines(L,reverse_line(M)) )+ => ( left_convergent_lines(L,M)+ | left_convergent_lines(L,reverse_line(M)) ) ) )).++fof(oag10,axiom,(+ ! [A,L] :+ ~ ( left_apart_point(A,L)+ | left_apart_point(A,reverse_line(L)) ) )).++fof(oag11,axiom,(+ ! [L,M] : ~ ( left_convergent_lines(L,M)+ | left_convergent_lines(L,reverse_line(M)) ) )).++%----Constructed objects+fof(oagco1,axiom,(+ ! [A,B] :+ ( ( point(A)+ & point(B)+ & distinct_points(A,B) )+ => line(line_connecting(A,B)) ) )).++fof(oagco2,axiom,(+ ! [L,M] :+ ( ( line(L)+ & line(M)+ & unequally_directed_lines(L,M)+ & unequally_directed_lines(L,reverse_line(M)) )+ => point(intersection_point(L,M)) ) )).++fof(oagco3,axiom,(+ ! [L,A] :+ ( ( point(A)+ & line(L) )+ => line(parallel_through_point(L,A)) ) )).++fof(oagco4,axiom,(+ ! [L] :+ ( line(L)+ => line(reverse_line(L)) ) )).++fof(oagco5,axiom,(+ ! [A,B] :+ ( distinct_points(A,B)+ => ( ~ apart_point_and_line(A,line_connecting(A,B))+ & ~ apart_point_and_line(B,line_connecting(A,B)) ) ) )).++fof(oagco6,axiom,(+ ! [L,M] :+ ( ( unequally_directed_lines(L,M)+ & unequally_directed_lines(L,reverse_line(M)) )+ => ( ~ apart_point_and_line(intersection_point(L,M),L)+ & ~ apart_point_and_line(intersection_point(L,M),M) ) ) )).++fof(oagco7,axiom,(+ ! [A,L] : ~ apart_point_and_line(A,parallel_through_point(L,A)) )).++fof(oagco8,axiom,(+ ! [L] : ~ distinct_lines(L,reverse_line(L)) )).++fof(oagco9,axiom,(+ ! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) )).++fof(oagco10,axiom,(+ ! [A,L] : ~ unequally_directed_lines(parallel_through_point(L,A),L) )).++%----Uniqueness axioms for the constructions+fof(oaguc1,axiom,(+ ! [A,B,L,M] :+ ( ( distinct_points(A,B)+ & distinct_lines(L,M) )+ => ( left_apart_point(A,L)+ | left_apart_point(B,L)+ | left_apart_point(A,M)+ | left_apart_point(B,M)+ | left_apart_point(A,reverse_line(L))+ | left_apart_point(B,reverse_line(L))+ | left_apart_point(A,reverse_line(M))+ | left_apart_point(B,reverse_line(M)) ) ) )).++fof(oaguc2,axiom,(+ ! [A,B,L] :+ ( ( distinct_points(A,B)+ & left_apart_point(A,L) )+ => ( left_apart_point(B,L)+ | left_convergent_lines(line_connecting(A,B),L) ) ) )).++%----Substitution axioms+fof(oagsub1,axiom,(+ ! [A,B,L] :+ ( left_apart_point(A,L)+ => ( distinct_points(A,B)+ | left_apart_point(B,L) ) ) )).++fof(oagsub2,axiom,(+ ! [A,L,M] :+ ( ( left_apart_point(A,L)+ & unequally_directed_lines(L,M) )+ => ( distinct_lines(L,M)+ | left_apart_point(A,reverse_line(M)) ) ) )).++fof(oagsub3,axiom,(+ ! [L,M,N] :+ ( left_convergent_lines(L,M)+ => ( unequally_directed_lines(M,N)+ | left_convergent_lines(L,N) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO007+1.ax view
@@ -0,0 +1,66 @@+%------------------------------------------------------------------------------+% File : GEO007+1 : TPTP v7.2.0. Released v3.3.0.+% Domain : Geometry (Constructive)+% Axioms : Principles of a classical calculus of directed lines+% Version : [vPl98] axioms.+% English :++% Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff+% Source : [ILTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 6 ( 1 unit)+% Number of atoms : 21 ( 0 equality)+% Maximal formula depth : 8 ( 7 average)+% Number of connectives : 34 ( 19 ~; 4 |; 6 &)+% ( 1 <=>; 4 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 1-2 arity)+% Number of functors : 1 ( 0 constant; 1-1 arity)+% Number of variables : 16 ( 2 sgn; 16 !; 0 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires GEO007+0+% Bugfixes : v6.4.0 - Fixed cld4.+%------------------------------------------------------------------------------+fof(cld1,axiom,(+ ! [L] : ~ unequally_directed_lines(L,L) )).++fof(cld2,axiom,(+ ! [L,M,N] :+ ( ( ~ unequally_directed_lines(L,M)+ & ~ unequally_directed_lines(L,N) )+ => ~ unequally_directed_lines(M,N) ) )).++fof(cld3,axiom,(+ ! [A,B,L,M] :+ ( ~ ( unequally_directed_lines(L,M)+ & unequally_directed_lines(L,reverse_line(M)) )+ <=> ( ~ unequally_directed_lines(L,M)+ | ~ unequally_directed_lines(L,reverse_line(M)) ) ) )).++fof(cld3a,axiom,(+ ! [L,M,N] :+ ( ( ( ~ unequally_directed_lines(L,M)+ | ~ unequally_directed_lines(L,reverse_line(M)) )+ & ( ~ unequally_directed_lines(L,N)+ | ~ unequally_directed_lines(L,reverse_line(N)) ) )+ => ( ~ unequally_directed_lines(M,N)+ | ~ unequally_directed_lines(M,reverse_line(N)) ) ) )).++fof(cld4,axiom,(+ ! [L,M] :+ ( ( line(L)+ & line(M) )+ => ~ ( ~ unequally_directed_lines(L,M)+ & ~ unequally_directed_lines(L,reverse_line(M)) ) ) )).++fof(cld5,axiom,(+ ! [L,M,N] :+ ( ~ unequally_directed_lines(L,reverse_line(M))+ & ( ~ unequally_directed_lines(L,reverse_line(N))+ => ~ unequally_directed_lines(M,N) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO008+0.ax view
@@ -0,0 +1,100 @@+%------------------------------------------------------------------------------+% File : GEO008+0 : TPTP v7.2.0. Released v3.3.0.+% Domain : Geometry (Constructive)+% Axioms : Apartness geometry+% Version : [Li97] axioms.+% English :++% Refs : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th+% : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a+% : [vPl95] von Plato (1995), The Axioms of Constructive Geometry+% Source : [ILTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 12 ( 3 unit)+% Number of atoms : 34 ( 0 equality)+% Maximal formula depth : 9 ( 6 average)+% Number of connectives : 25 ( 3 ~ ; 9 |; 2 &)+% ( 0 <=>; 11 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 4 ( 0 propositional; 2-2 arity)+% Number of functors : 2 ( 0 constant; 2-2 arity)+% Number of variables : 30 ( 0 singleton; 30 !; 0 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Apartness for distinct points, distinct lines, convergent lines+fof(apart1,axiom,(+ ! [X] : ~ distinct_points(X,X) )).++fof(apart2,axiom,(+ ! [X] : ~ distinct_lines(X,X) )).++fof(apart3,axiom,(+ ! [X] : ~ convergent_lines(X,X) )).++fof(apart4,axiom,(+ ! [X,Y,Z] :+ ( distinct_points(X,Y)+ => ( distinct_points(X,Z)+ | distinct_points(Y,Z) ) ) )).++fof(apart5,axiom,(+ ! [X,Y,Z] :+ ( distinct_lines(X,Y)+ => ( distinct_lines(X,Z)+ | distinct_lines(Y,Z) ) ) )).++fof(apart6,axiom,(+ ! [X,Y,Z] :+ ( convergent_lines(X,Y)+ => ( convergent_lines(X,Z)+ | convergent_lines(Y,Z) ) ) )).++%----Connecting lines and intersection points+fof(con1,axiom,(+ ! [X,Y,Z] :+ ( distinct_points(X,Y)+ => ( apart_point_and_line(Z,line_connecting(X,Y))+ => ( distinct_points(Z,X)+ & distinct_points(Z,Y) ) ) ) )).++fof(con2,axiom,(+ ! [X,Y,Z] :+ ( convergent_lines(X,Y)+ => ( ( apart_point_and_line(Z,X)+ | apart_point_and_line(Z,Y) )+ => distinct_points(Z,intersection_point(X,Y)) ) ) )).++%----Constructive uniqueness axiom for lines and points+fof(cu1,axiom,(+ ! [X,Y,U,V] :+ ( ( distinct_points(X,Y)+ & distinct_lines(U,V) )+ => ( apart_point_and_line(X,U)+ | apart_point_and_line(X,V)+ | apart_point_and_line(Y,U)+ | apart_point_and_line(Y,V) ) ) )).++%----Compatibility of equality with apartness and convergence+fof(ceq1,axiom,(+ ! [X,Y,Z] :+ ( apart_point_and_line(X,Y)+ => ( distinct_points(X,Z)+ | apart_point_and_line(Z,Y) ) ) )).++fof(ceq2,axiom,(+ ! [X,Y,Z] :+ ( apart_point_and_line(X,Y)+ => ( distinct_lines(Y,Z)+ | apart_point_and_line(X,Z) ) ) )).++fof(ceq3,axiom,(+ ! [X,Y] :+ ( convergent_lines(X,Y)+ => distinct_lines(X,Y) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO009+0.ax view
@@ -0,0 +1,238 @@+%------------------------------------------------------------------------------+% File : GEO009+0 : TPTP v7.2.0. Released v4.0.0.+% Domain : Geometry (Constructive)+% Axioms : Ordered affine geometry with definitions+% Version : [vPl95] axioms.+% English :++% Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry+% Source : [ILTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 36 ( 6 unit)+% Number of atoms : 109 ( 0 equality)+% Maximal formula depth : 13 ( 5 average)+% Number of connectives : 85 ( 12 ~; 22 |; 24 &)+% ( 10 <=>; 17 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 18 ( 0 propositional; 1-4 arity)+% Number of functors : 4 ( 0 constant; 1-2 arity)+% Number of variables : 81 ( 0 sgn; 81 !; 0 ?)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+fof(a1_defns,axiom,(+ ! [X,Y] :+ ( unequally_directed_opposite_lines(X,Y)+ <=> unequally_directed_lines(X,reverse_line(Y)) ) )).++fof(a2_defns,axiom,(+ ! [X,Y] :+ ( right_apart_point(X,Y)+ <=> left_apart_point(X,reverse_line(Y)) ) )).++fof(a3_defns,axiom,(+ ! [X,Y] :+ ( right_convergent_lines(X,Y)+ <=> left_convergent_lines(X,reverse_line(Y)) ) )).++fof(a4_defns,axiom,(+ ! [X,Y] :+ ( equally_directed_lines(X,Y)+ <=> ~ unequally_directed_lines(X,Y) ) )).++fof(a5_defns,axiom,(+ ! [X,Y] :+ ( equally_directed_opposite_lines(X,Y)+ <=> ~ unequally_directed_opposite_lines(X,Y) ) )).++fof(a6_defns,axiom,(+ ! [A,L] :+ ( apart_point_and_line(A,L)+ <=> ( left_apart_point(A,L)+ | right_apart_point(A,L) ) ) )).++fof(a7_defns,axiom,(+ ! [L,M] :+ ( convergent_lines(L,M)+ <=> ( unequally_directed_lines(L,M)+ & unequally_directed_opposite_lines(L,M) ) ) )).++fof(a8_defns,axiom,(+ ! [A,B,L] :+ ( divides_points(L,A,B)+ <=> ( ( left_apart_point(A,L)+ & right_apart_point(B,L) )+ | ( right_apart_point(A,L)+ & left_apart_point(B,L) ) ) ) )).++fof(ax4_defns,axiom,(+ ! [L,A,B] :+ ( before_on_line(L,A,B)+ <=> ( distinct_points(A,B)+ & incident_point_and_line(A,L)+ & incident_point_and_line(B,L)+ & equally_directed_lines(L,line_connecting(A,B)) ) ) )).++fof(a9_defns,axiom,(+ ! [L,A,B,C] :+ ( between_on_line(L,A,B,C)+ <=> ( ( before_on_line(L,A,B)+ & before_on_line(L,B,C) )+ | ( before_on_line(L,C,B)+ & before_on_line(L,B,A) ) ) ) )).++fof(ax1_basics,axiom,(+ ! [A] : ~ distinct_points(A,A) )).++fof(ax2_basics,axiom,(+ ! [A,B,C] :+ ( distinct_points(A,B)+ => ( distinct_points(A,C)+ | distinct_points(B,C) ) ) )).++fof(ax3_basics,axiom,(+ ! [L] : ~ distinct_lines(L,L) )).++fof(ax4_basics,axiom,(+ ! [L,M,N] :+ ( distinct_lines(L,M)+ => ( distinct_lines(L,N)+ | distinct_lines(M,N) ) ) )).++fof(ax5_basics,axiom,(+ ! [L] : equally_directed_lines(L,L) )).++fof(ax6_basics,axiom,(+ ! [L,M,N] :+ ( unequally_directed_lines(L,M)+ => ( unequally_directed_lines(L,N)+ | unequally_directed_lines(M,N) ) ) )).++fof(ax7_basics,axiom,(+ ! [L,M,N] :+ ( ( unequally_directed_lines(L,M)+ & unequally_directed_lines(L,reverse_line(M)) )+ => ( ( unequally_directed_lines(L,N)+ & unequally_directed_lines(L,reverse_line(N)) )+ | ( unequally_directed_lines(M,N)+ & unequally_directed_lines(M,reverse_line(N)) ) ) ) )).++fof(ax8_basics,axiom,(+ ! [L,M] :+ ( unequally_directed_lines(L,M)+ | unequally_directed_lines(L,reverse_line(M)) ) )).++fof(ax9_basics,axiom,(+ ! [L,M] :+ ( ( unequally_directed_lines(L,M)+ & unequally_directed_lines(L,reverse_line(M)) )+ => ( left_convergent_lines(L,M)+ | left_convergent_lines(L,reverse_line(M)) ) ) )).++fof(ax10_basics,axiom,(+ ! [A,L] :+ ~ ( left_apart_point(A,L)+ | left_apart_point(A,reverse_line(L)) ) )).++fof(ax11_basics,axiom,(+ ! [L,M] :+ ~ ( left_convergent_lines(L,M)+ | left_convergent_lines(L,reverse_line(M)) ) )).++fof(ax1_cons_objs,axiom,(+ ! [A,B] :+ ( ( point(A)+ & point(B)+ & distinct_points(A,B) )+ => line(line_connecting(A,B)) ) )).++fof(ax2_cons_objs,axiom,(+ ! [L,M] :+ ( ( line(L)+ & line(M)+ & unequally_directed_lines(L,M)+ & unequally_directed_lines(L,reverse_line(M)) )+ => point(intersection_point(L,M)) ) )).++fof(ax3_cons_objs,axiom,(+ ! [L,A] :+ ( ( point(A)+ & line(L) )+ => line(parallel_through_point(L,A)) ) )).++fof(ax4_cons_objs,axiom,(+ ! [L] :+ ( line(L)+ => line(reverse_line(L)) ) )).++fof(ax5_cons_objs,axiom,(+ ! [A,B] :+ ( distinct_points(A,B)+ => ( ~ apart_point_and_line(A,line_connecting(A,B))+ & ~ apart_point_and_line(B,line_connecting(A,B)) ) ) )).++fof(ax6_cons_objs,axiom,(+ ! [L,M] :+ ( ( unequally_directed_lines(L,M)+ & unequally_directed_lines(L,reverse_line(M)) )+ => ( ~ apart_point_and_line(intersection_point(L,M),L)+ & ~ apart_point_and_line(intersection_point(L,M),M) ) ) )).++fof(ax7_cons_objs,axiom,(+ ! [A,L] : ~ apart_point_and_line(A,parallel_through_point(L,A)) )).++fof(ax8_cons_objs,axiom,(+ ! [L] : ~ distinct_lines(L,reverse_line(L)) )).++fof(ax9_cons_objs,axiom,(+ ! [A,B] : + ( distinct_points(A,B)+ => equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A)))) )).++fof(ax10_cons_objs,axiom,(+ ! [A,L] : equally_directed_lines(parallel_through_point(L,A),L) )).++fof(ax1_uniq_cons,axiom,(+ ! [A,B,L,M] :+ ( ( distinct_points(A,B)+ & distinct_lines(L,M) )+ => ( left_apart_point(A,L)+ | left_apart_point(B,L)+ | left_apart_point(A,M)+ | left_apart_point(B,M)+ | left_apart_point(A,reverse_line(L))+ | left_apart_point(B,reverse_line(L))+ | left_apart_point(A,reverse_line(M))+ | left_apart_point(B,reverse_line(M)) ) ) )).++fof(ax2_uniq_cons,axiom,(+ ! [A,B,L] :+ ( ( distinct_points(A,B)+ & left_apart_point(A,L) )+ => ( left_apart_point(B,L)+ | left_convergent_lines(line_connecting(A,B),L) ) ) )).++fof(ax1_subs,axiom,(+ ! [A,B,L] :+ ( left_apart_point(A,L)+ => ( distinct_points(A,B)+ | left_apart_point(B,L) ) ) )).++fof(ax2_subs,axiom,(+ ! [A,L,M] :+ ( ( left_apart_point(A,L)+ & unequally_directed_lines(L,M) )+ => ( distinct_lines(L,M)+ | left_apart_point(A,reverse_line(M)) ) ) )).++fof(ax3_subs,axiom,(+ ! [L,M,N] :+ ( left_convergent_lines(L,M)+ => ( unequally_directed_lines(M,N)+ | left_convergent_lines(L,N) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO010+1.ax view
@@ -0,0 +1,5517 @@+%------------------------------------------------------------------------------+% File : GEO010+1 : TPTP v7.2.0. Released v7.0.0.+% Domain : Mathematics+% Axioms : Flyspeck project+% Version : [Urb16] axioms : Especial.+% English :++% Refs : [Hal10] Hales (2010), A Revision of the Proof of the Kepler+% : [Urb16] Urban (2016), Email to Geoff Sutcliffe+% Source : [Urb16]+% Names : vectors.ax [Urb16]++% Status : Satisfiable+% Syntax : Number of formulae : 900 ( 295 unit)+% Number of atoms : 2591 (1116 equality)+% Maximal formula depth : 32 ( 7 average)+% Number of connectives : 1767 ( 76 ~; 13 |; 650 &)+% ( 295 <=>; 733 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 1-2 arity)+% Number of functors : 154 ( 147 constant; 0-2 arity)+% Number of variables : 4124 ( 0 sgn;3845 !; 279 ?)+% Maximal term depth : 27 ( 9 average)+% SPC : FOF_SAT_RFO_SEQ++% Comments :+%------------------------------------------------------------------------------+fof(aFORALLu_1,axiom,+ ( ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) )+ => p(s(bool,i(s(fun(num,bool),p0),s(num,I0)))) )+ <=> p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) )).++fof(aFORALLu_2,axiom,(+ ! [P0] :+ ( ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )+ => p(s(bool,i(s(fun(num,bool),P0),s(num,I0)))) )+ <=> ( p(s(bool,i(s(fun(num,bool),P0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))+ & p(s(bool,i(s(fun(num,bool),P0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ) ) )).++fof(aFORALLu_3,axiom,(+ ! [P0] :+ ( ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )+ => p(s(bool,i(s(fun(num,bool),P0),s(num,I0)))) )+ <=> ( p(s(bool,i(s(fun(num,bool),P0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))+ & p(s(bool,i(s(fun(num,bool),P0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))+ & p(s(bool,i(s(fun(num,bool),P0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ) ) )).++fof(aSUMu_1,axiom,(+ s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(fun(num,real),f))) = s(real,i(s(fun(num,real),f),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )).++fof(aSUMu_2,axiom,(+ ! [T0] : s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(fun(num,real),T0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),T0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),T0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) )).++fof(aHypermapo_THREE,axiom,(+ s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(num,i(s(fun(num,num),suc),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) )).++fof(aSUMu_3,axiom,(+ ! [T0] : s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(fun(num,real),T0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),T0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),T0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),T0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))) )).++fof(avectoru_add,axiom,(+ ! [N,U_0] :+ ( ! [X,Y,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(cart(real,N),fun(cart(real,N),fun(num,real))),U_0),s(cart(real,N),X))),s(cart(real,N),Y))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),Y))),s(num,I0)))))+ => ! [X,Y] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),X))),s(cart(real,N),Y))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(cart(real,N),fun(cart(real,N),fun(num,real))),U_0),s(cart(real,N),X))),s(cart(real,N),Y))))) ) )).++fof(avectoru_sub,axiom,(+ ! [N,U_0] :+ ( ! [X,Y,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(cart(real,N),fun(cart(real,N),fun(num,real))),U_0),s(cart(real,N),X))),s(cart(real,N),Y))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),Y))),s(num,I0)))))+ => ! [X,Y] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),X))),s(cart(real,N),Y))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(cart(real,N),fun(cart(real,N),fun(num,real))),U_0),s(cart(real,N),X))),s(cart(real,N),Y))))) ) )).++fof(avectoru_neg,axiom,(+ ! [N,U_0] :+ ( ! [X,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),U_0),s(cart(real,N),X))),s(num,I0))) = s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0)))))+ => ! [X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),vectoru_neg),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),U_0),s(cart(real,N),X))))) ) )).++fof(avectoru_mul,axiom,(+ ! [N,U_0] :+ ( ! [C0,X,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(real,fun(cart(real,N),fun(num,real))),U_0),s(real,C0))),s(cart(real,N),X))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,C0))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0)))))+ => ! [C0,X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(real,fun(cart(real,N),fun(num,real))),U_0),s(real,C0))),s(cart(real,N),X))))) ) )).++fof(avec,axiom,(+ ! [N,U_0] :+ ( ! [N0,I0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),U_0),s(num,N0))),s(num,I0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,N0)))+ => ! [N0] : s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,N0))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),U_0),s(num,N0))))) ) )).++fof(adot,axiom,(+ ! [N,U_0] :+ ( ! [X,Y,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(cart(real,N),fun(cart(real,N),fun(num,real))),U_0),s(cart(real,N),X))),s(cart(real,N),Y))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),Y))),s(num,I0)))))+ => ! [X,Y] : s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),Y))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(cart(real,N),fun(cart(real,N),fun(num,real))),U_0),s(cart(real,N),X))),s(cart(real,N),Y))))) ) )).++fof(aDOTu_1,axiom,(+ s(real,i(s(fun(cart(real,n10),real),i(s(fun(cart(real,n10),fun(cart(real,n10),real)),dot),s(cart(real,n10),x))),s(cart(real,n10),y))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),x))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) )).++fof(aDOTu_2,axiom,(+ s(real,i(s(fun(cart(real,n20),real),i(s(fun(cart(real,n20),fun(cart(real,n20),real)),dot),s(cart(real,n20),x))),s(cart(real,n20),y))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),x))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),x))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))) )).++fof(aDOTu_3,axiom,(+ s(real,i(s(fun(cart(real,n3),real),i(s(fun(cart(real,n3),fun(cart(real,n3),real)),dot),s(cart(real,n3),x))),s(cart(real,n3),y))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,n3),fun(num,real)),d_),s(cart(real,n3),x))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,n3),fun(num,real)),d_),s(cart(real,n3),y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,n3),fun(num,real)),d_),s(cart(real,n3),x))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,n3),fun(num,real)),d_),s(cart(real,n3),y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,n3),fun(num,real)),d_),s(cart(real,n3),x))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,n3),fun(num,real)),d_),s(cart(real,n3),y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))))) )).++fof(aVECu_COMPONENT,axiom,(+ ! [N,K0,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,K0))))),s(num,I0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,K0))) )).++fof(aVECTORu_ADDu_COMPONENT,axiom,(+ ! [N,X,Y,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),X))),s(cart(real,N),Y))))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),Y))),s(num,I0))))) )).++fof(aVECTORu_SUBu_COMPONENT,axiom,(+ ! [N,X,Y,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),X))),s(cart(real,N),Y))))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),Y))),s(num,I0))))) )).++fof(aVECTORu_NEGu_COMPONENT,axiom,(+ ! [N,X,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),vectoru_neg),s(cart(real,N),X))))),s(num,I0))) = s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))) )).++fof(aVECTORu_MULu_COMPONENT,axiom,(+ ! [N,C0,X,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),X))))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,C0))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))) )).++fof(aCONDu_COMPONENT,axiom,(+ ! [Q99503,Q99508] : s(Q99503,i(s(fun(num,Q99503),i(s(fun(cart(Q99503,Q99508),fun(num,Q99503)),d_),s(cart(Q99503,Q99508),i(s(fun(cart(Q99503,Q99508),cart(Q99503,Q99508)),i(s(fun(cart(Q99503,Q99508),fun(cart(Q99503,Q99508),cart(Q99503,Q99508))),i(s(fun(bool,fun(cart(Q99503,Q99508),fun(cart(Q99503,Q99508),cart(Q99503,Q99508)))),cond),s(bool,b0))),s(cart(Q99503,Q99508),x))),s(cart(Q99503,Q99508),y))))),s(num,i0))) = s(Q99503,i(s(fun(Q99503,Q99503),i(s(fun(Q99503,fun(Q99503,Q99503)),i(s(fun(bool,fun(Q99503,fun(Q99503,Q99503))),cond),s(bool,b0))),s(Q99503,i(s(fun(num,Q99503),i(s(fun(cart(Q99503,Q99508),fun(num,Q99503)),d_),s(cart(Q99503,Q99508),x))),s(num,i0))))),s(Q99503,i(s(fun(num,Q99503),i(s(fun(cart(Q99503,Q99508),fun(num,Q99503)),d_),s(cart(Q99503,Q99508),y))),s(num,i0))))) )).++fof(aVECTORu_ADDu_SYM,axiom,(+ ! [N,X,Y] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),X))),s(cart(real,N),Y))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),Y))),s(cart(real,N),X))) )).++fof(aVECTORu_ADDu_LID,axiom,(+ ! [Q99561,X] : s(cart(real,Q99561),i(s(fun(cart(real,Q99561),cart(real,Q99561)),i(s(fun(cart(real,Q99561),fun(cart(real,Q99561),cart(real,Q99561))),vectoru_add),s(cart(real,Q99561),i(s(fun(num,cart(real,Q99561)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,Q99561),X))) = s(cart(real,Q99561),X) )).++fof(aVECTORu_ADDu_RID,axiom,(+ ! [Q99576,X] : s(cart(real,Q99576),i(s(fun(cart(real,Q99576),cart(real,Q99576)),i(s(fun(cart(real,Q99576),fun(cart(real,Q99576),cart(real,Q99576))),vectoru_add),s(cart(real,Q99576),X))),s(cart(real,Q99576),i(s(fun(num,cart(real,Q99576)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(real,Q99576),X) )).++fof(aVECTORu_SUBu_REFL,axiom,(+ ! [Q99591,X] : s(cart(real,Q99591),i(s(fun(cart(real,Q99591),cart(real,Q99591)),i(s(fun(cart(real,Q99591),fun(cart(real,Q99591),cart(real,Q99591))),vectoru_sub),s(cart(real,Q99591),X))),s(cart(real,Q99591),X))) = s(cart(real,Q99591),i(s(fun(num,cart(real,Q99591)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aVECTORu_ADDu_LINV,axiom,(+ ! [Q99609,X] : s(cart(real,Q99609),i(s(fun(cart(real,Q99609),cart(real,Q99609)),i(s(fun(cart(real,Q99609),fun(cart(real,Q99609),cart(real,Q99609))),vectoru_add),s(cart(real,Q99609),i(s(fun(cart(real,Q99609),cart(real,Q99609)),vectoru_neg),s(cart(real,Q99609),X))))),s(cart(real,Q99609),X))) = s(cart(real,Q99609),i(s(fun(num,cart(real,Q99609)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aVECTORu_ADDu_RINV,axiom,(+ ! [Q99628,X] : s(cart(real,Q99628),i(s(fun(cart(real,Q99628),cart(real,Q99628)),i(s(fun(cart(real,Q99628),fun(cart(real,Q99628),cart(real,Q99628))),vectoru_add),s(cart(real,Q99628),X))),s(cart(real,Q99628),i(s(fun(cart(real,Q99628),cart(real,Q99628)),vectoru_neg),s(cart(real,Q99628),X))))) = s(cart(real,Q99628),i(s(fun(num,cart(real,Q99628)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aVECTORu_SUBu_RADD,axiom,(+ ! [N,X,Y] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),X))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),X))),s(cart(real,N),Y))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),vectoru_neg),s(cart(real,N),Y))) )).++fof(aVECTORu_NEGu_SUB,axiom,(+ ! [N,X,Y] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),vectoru_neg),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),X))),s(cart(real,N),Y))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),Y))),s(cart(real,N),X))) )).++fof(aVECTORu_SUBu_EQ,axiom,(+ ! [Q99705,X,Y] :+ ( s(cart(real,Q99705),i(s(fun(cart(real,Q99705),cart(real,Q99705)),i(s(fun(cart(real,Q99705),fun(cart(real,Q99705),cart(real,Q99705))),vectoru_sub),s(cart(real,Q99705),X))),s(cart(real,Q99705),Y))) = s(cart(real,Q99705),i(s(fun(num,cart(real,Q99705)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(cart(real,Q99705),X) = s(cart(real,Q99705),Y) ) )).++fof(aVECTORu_MULu_ASSOC,axiom,(+ ! [Q99731,A5,B0,X] : s(cart(real,Q99731),i(s(fun(cart(real,Q99731),cart(real,Q99731)),i(s(fun(real,fun(cart(real,Q99731),cart(real,Q99731))),r_),s(real,A5))),s(cart(real,Q99731),i(s(fun(cart(real,Q99731),cart(real,Q99731)),i(s(fun(real,fun(cart(real,Q99731),cart(real,Q99731))),r_),s(real,B0))),s(cart(real,Q99731),X))))) = s(cart(real,Q99731),i(s(fun(cart(real,Q99731),cart(real,Q99731)),i(s(fun(real,fun(cart(real,Q99731),cart(real,Q99731))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,A5))),s(real,B0))))),s(cart(real,Q99731),X))) )).++fof(aVECTORu_MULu_LID,axiom,(+ ! [Q99745,X] : s(cart(real,Q99745),i(s(fun(cart(real,Q99745),cart(real,Q99745)),i(s(fun(real,fun(cart(real,Q99745),cart(real,Q99745))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(real,Q99745),X))) = s(cart(real,Q99745),X) )).++fof(aVECTORu_MULu_LZERO,axiom,(+ ! [Q99762,X] : s(cart(real,Q99762),i(s(fun(cart(real,Q99762),cart(real,Q99762)),i(s(fun(real,fun(cart(real,Q99762),cart(real,Q99762))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,Q99762),X))) = s(cart(real,Q99762),i(s(fun(num,cart(real,Q99762)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aVECTORu_SUBu_ADD,axiom,(+ ! [N] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),x))),s(cart(real,N),y))))),s(cart(real,N),y))) = s(cart(real,N),x) )).++fof(aVECTORu_SUBu_ADD2,axiom,(+ ! [N] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),y))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),x))),s(cart(real,N),y))))) = s(cart(real,N),x) )).++fof(aVECTORu_ADDu_LDISTRIB,axiom,(+ ! [Q99811] : s(cart(real,Q99811),i(s(fun(cart(real,Q99811),cart(real,Q99811)),i(s(fun(real,fun(cart(real,Q99811),cart(real,Q99811))),r_),s(real,c))),s(cart(real,Q99811),i(s(fun(cart(real,Q99811),cart(real,Q99811)),i(s(fun(cart(real,Q99811),fun(cart(real,Q99811),cart(real,Q99811))),vectoru_add),s(cart(real,Q99811),x))),s(cart(real,Q99811),y))))) = s(cart(real,Q99811),i(s(fun(cart(real,Q99811),cart(real,Q99811)),i(s(fun(cart(real,Q99811),fun(cart(real,Q99811),cart(real,Q99811))),vectoru_add),s(cart(real,Q99811),i(s(fun(cart(real,Q99811),cart(real,Q99811)),i(s(fun(real,fun(cart(real,Q99811),cart(real,Q99811))),r_),s(real,c))),s(cart(real,Q99811),x))))),s(cart(real,Q99811),i(s(fun(cart(real,Q99811),cart(real,Q99811)),i(s(fun(real,fun(cart(real,Q99811),cart(real,Q99811))),r_),s(real,c))),s(cart(real,Q99811),y))))) )).++fof(aVECTORu_SUBu_LDISTRIB,axiom,(+ ! [Q99834] : s(cart(real,Q99834),i(s(fun(cart(real,Q99834),cart(real,Q99834)),i(s(fun(real,fun(cart(real,Q99834),cart(real,Q99834))),r_),s(real,c))),s(cart(real,Q99834),i(s(fun(cart(real,Q99834),cart(real,Q99834)),i(s(fun(cart(real,Q99834),fun(cart(real,Q99834),cart(real,Q99834))),vectoru_sub),s(cart(real,Q99834),x))),s(cart(real,Q99834),y))))) = s(cart(real,Q99834),i(s(fun(cart(real,Q99834),cart(real,Q99834)),i(s(fun(cart(real,Q99834),fun(cart(real,Q99834),cart(real,Q99834))),vectoru_sub),s(cart(real,Q99834),i(s(fun(cart(real,Q99834),cart(real,Q99834)),i(s(fun(real,fun(cart(real,Q99834),cart(real,Q99834))),r_),s(real,c))),s(cart(real,Q99834),x))))),s(cart(real,Q99834),i(s(fun(cart(real,Q99834),cart(real,Q99834)),i(s(fun(real,fun(cart(real,Q99834),cart(real,Q99834))),r_),s(real,c))),s(cart(real,Q99834),y))))) )).++fof(aVECTORu_ADDu_RDISTRIB,axiom,(+ ! [Q99856] : s(cart(real,Q99856),i(s(fun(cart(real,Q99856),cart(real,Q99856)),i(s(fun(real,fun(cart(real,Q99856),cart(real,Q99856))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,a0))),s(real,b0))))),s(cart(real,Q99856),x))) = s(cart(real,Q99856),i(s(fun(cart(real,Q99856),cart(real,Q99856)),i(s(fun(cart(real,Q99856),fun(cart(real,Q99856),cart(real,Q99856))),vectoru_add),s(cart(real,Q99856),i(s(fun(cart(real,Q99856),cart(real,Q99856)),i(s(fun(real,fun(cart(real,Q99856),cart(real,Q99856))),r_),s(real,a0))),s(cart(real,Q99856),x))))),s(cart(real,Q99856),i(s(fun(cart(real,Q99856),cart(real,Q99856)),i(s(fun(real,fun(cart(real,Q99856),cart(real,Q99856))),r_),s(real,b0))),s(cart(real,Q99856),x))))) )).++fof(aVECTORu_SUBu_RDISTRIB,axiom,(+ ! [Q99877] : s(cart(real,Q99877),i(s(fun(cart(real,Q99877),cart(real,Q99877)),i(s(fun(real,fun(cart(real,Q99877),cart(real,Q99877))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,a0))),s(real,b0))))),s(cart(real,Q99877),x))) = s(cart(real,Q99877),i(s(fun(cart(real,Q99877),cart(real,Q99877)),i(s(fun(cart(real,Q99877),fun(cart(real,Q99877),cart(real,Q99877))),vectoru_sub),s(cart(real,Q99877),i(s(fun(cart(real,Q99877),cart(real,Q99877)),i(s(fun(real,fun(cart(real,Q99877),cart(real,Q99877))),r_),s(real,a0))),s(cart(real,Q99877),x))))),s(cart(real,Q99877),i(s(fun(cart(real,Q99877),cart(real,Q99877)),i(s(fun(real,fun(cart(real,Q99877),cart(real,Q99877))),r_),s(real,b0))),s(cart(real,Q99877),x))))) )).++fof(aVECTORu_ADDu_SUB,axiom,(+ ! [N] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),x))),s(cart(real,N),y))))),s(cart(real,N),x))) = s(cart(real,N),y) )).++fof(aVECTORu_EQu_ADDR,axiom,(+ ! [Q99907] :+ ( s(cart(real,Q99907),i(s(fun(cart(real,Q99907),cart(real,Q99907)),i(s(fun(cart(real,Q99907),fun(cart(real,Q99907),cart(real,Q99907))),vectoru_add),s(cart(real,Q99907),x))),s(cart(real,Q99907),y))) = s(cart(real,Q99907),x)+ <=> s(cart(real,Q99907),y) = s(cart(real,Q99907),i(s(fun(num,cart(real,Q99907)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aVECTORu_SUB,axiom,(+ ! [N] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),x))),s(cart(real,N),y))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),x))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),vectoru_neg),s(cart(real,N),y))))) )).++fof(aVECTORu_SUBu_RZERO,axiom,(+ ! [Q99936] : s(cart(real,Q99936),i(s(fun(cart(real,Q99936),cart(real,Q99936)),i(s(fun(cart(real,Q99936),fun(cart(real,Q99936),cart(real,Q99936))),vectoru_sub),s(cart(real,Q99936),x))),s(cart(real,Q99936),i(s(fun(num,cart(real,Q99936)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(real,Q99936),x) )).++fof(aVECTORu_MULu_RZERO,axiom,(+ ! [Q99948] : s(cart(real,Q99948),i(s(fun(cart(real,Q99948),cart(real,Q99948)),i(s(fun(real,fun(cart(real,Q99948),cart(real,Q99948))),r_),s(real,c))),s(cart(real,Q99948),i(s(fun(num,cart(real,Q99948)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(real,Q99948),i(s(fun(num,cart(real,Q99948)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aVECTORu_NEGu_MINUS1,axiom,(+ ! [Q99962] : s(cart(real,Q99962),i(s(fun(cart(real,Q99962),cart(real,Q99962)),vectoru_neg),s(cart(real,Q99962),x))) = s(cart(real,Q99962),i(s(fun(cart(real,Q99962),cart(real,Q99962)),i(s(fun(real,fun(cart(real,Q99962),cart(real,Q99962))),r_),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,Q99962),x))) )).++fof(aVECTORu_ADDu_ASSOC,axiom,(+ ! [N] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),x))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),y))),s(cart(real,N),z))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),x))),s(cart(real,N),y))))),s(cart(real,N),z))) )).++fof(aVECTORu_SUBu_LZERO,axiom,(+ ! [Q100000] : s(cart(real,Q100000),i(s(fun(cart(real,Q100000),cart(real,Q100000)),i(s(fun(cart(real,Q100000),fun(cart(real,Q100000),cart(real,Q100000))),vectoru_sub),s(cart(real,Q100000),i(s(fun(num,cart(real,Q100000)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,Q100000),x))) = s(cart(real,Q100000),i(s(fun(cart(real,Q100000),cart(real,Q100000)),vectoru_neg),s(cart(real,Q100000),x))) )).++fof(aVECTORu_NEGu_NEG,axiom,(+ ! [N] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),vectoru_neg),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),vectoru_neg),s(cart(real,N),x))))) = s(cart(real,N),x) )).++fof(aVECTORu_MULu_LNEG,axiom,(+ ! [Q100029] : s(cart(real,Q100029),i(s(fun(cart(real,Q100029),cart(real,Q100029)),i(s(fun(real,fun(cart(real,Q100029),cart(real,Q100029))),r_),s(real,i(s(fun(real,real),realu_neg),s(real,c))))),s(cart(real,Q100029),x))) = s(cart(real,Q100029),i(s(fun(cart(real,Q100029),cart(real,Q100029)),vectoru_neg),s(cart(real,Q100029),i(s(fun(cart(real,Q100029),cart(real,Q100029)),i(s(fun(real,fun(cart(real,Q100029),cart(real,Q100029))),r_),s(real,c))),s(cart(real,Q100029),x))))) )).++fof(aVECTORu_MULu_RNEG,axiom,(+ ! [Q100046] : s(cart(real,Q100046),i(s(fun(cart(real,Q100046),cart(real,Q100046)),i(s(fun(real,fun(cart(real,Q100046),cart(real,Q100046))),r_),s(real,c))),s(cart(real,Q100046),i(s(fun(cart(real,Q100046),cart(real,Q100046)),vectoru_neg),s(cart(real,Q100046),x))))) = s(cart(real,Q100046),i(s(fun(cart(real,Q100046),cart(real,Q100046)),vectoru_neg),s(cart(real,Q100046),i(s(fun(cart(real,Q100046),cart(real,Q100046)),i(s(fun(real,fun(cart(real,Q100046),cart(real,Q100046))),r_),s(real,c))),s(cart(real,Q100046),x))))) )).++fof(aVECTORu_NEGu_0,axiom,(+ ! [Q100059] : s(cart(real,Q100059),i(s(fun(cart(real,Q100059),cart(real,Q100059)),vectoru_neg),s(cart(real,Q100059),i(s(fun(num,cart(real,Q100059)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(real,Q100059),i(s(fun(num,cart(real,Q100059)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aVECTORu_NEGu_EQu_0,axiom,(+ ! [Q100076] :+ ( s(cart(real,Q100076),i(s(fun(cart(real,Q100076),cart(real,Q100076)),vectoru_neg),s(cart(real,Q100076),x))) = s(cart(real,Q100076),i(s(fun(num,cart(real,Q100076)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(cart(real,Q100076),x) = s(cart(real,Q100076),i(s(fun(num,cart(real,Q100076)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aVECTORu_ADDu_ACu_conjunct2,axiom,(+ ! [N] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),m))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),n))),s(cart(real,N),p1))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),n))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),m))),s(cart(real,N),p1))))) )).++fof(aVECTORu_ADDu_ACu_conjunct1,axiom,(+ ! [N] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),m))),s(cart(real,N),n))))),s(cart(real,N),p1))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),m))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),n))),s(cart(real,N),p1))))) )).++fof(aVECTORu_ADDu_ACu_conjunct0,axiom,(+ ! [N] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),m))),s(cart(real,N),n))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),n))),s(cart(real,N),m))) )).++fof(aVECu_EQ,axiom,(+ ! [Q100159,M0,N0] :+ ( s(cart(real,Q100159),i(s(fun(num,cart(real,Q100159)),vec),s(num,M0))) = s(cart(real,Q100159),i(s(fun(num,cart(real,Q100159)),vec),s(num,N0)))+ <=> s(num,M0) = s(num,N0) ) )).++fof(aEUCLIDEANu_SPACEu_INFINITE,axiom,(+ ! [N] : p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),infinite),s(fun(cart(real,N),bool),univ)))) )).++fof(aDOTu_SYM,axiom,(+ ! [Q100205,X,Y] : s(real,i(s(fun(cart(real,Q100205),real),i(s(fun(cart(real,Q100205),fun(cart(real,Q100205),real)),dot),s(cart(real,Q100205),X))),s(cart(real,Q100205),Y))) = s(real,i(s(fun(cart(real,Q100205),real),i(s(fun(cart(real,Q100205),fun(cart(real,Q100205),real)),dot),s(cart(real,Q100205),Y))),s(cart(real,Q100205),X))) )).++fof(aDOTu_LADD,axiom,(+ ! [Q100240,X,Y,Z0] : s(real,i(s(fun(cart(real,Q100240),real),i(s(fun(cart(real,Q100240),fun(cart(real,Q100240),real)),dot),s(cart(real,Q100240),i(s(fun(cart(real,Q100240),cart(real,Q100240)),i(s(fun(cart(real,Q100240),fun(cart(real,Q100240),cart(real,Q100240))),vectoru_add),s(cart(real,Q100240),X))),s(cart(real,Q100240),Y))))),s(cart(real,Q100240),Z0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,Q100240),real),i(s(fun(cart(real,Q100240),fun(cart(real,Q100240),real)),dot),s(cart(real,Q100240),X))),s(cart(real,Q100240),Z0))))),s(real,i(s(fun(cart(real,Q100240),real),i(s(fun(cart(real,Q100240),fun(cart(real,Q100240),real)),dot),s(cart(real,Q100240),Y))),s(cart(real,Q100240),Z0))))) )).++fof(aDOTu_RADD,axiom,(+ ! [Q100273,X,Y,Z0] : s(real,i(s(fun(cart(real,Q100273),real),i(s(fun(cart(real,Q100273),fun(cart(real,Q100273),real)),dot),s(cart(real,Q100273),X))),s(cart(real,Q100273),i(s(fun(cart(real,Q100273),cart(real,Q100273)),i(s(fun(cart(real,Q100273),fun(cart(real,Q100273),cart(real,Q100273))),vectoru_add),s(cart(real,Q100273),Y))),s(cart(real,Q100273),Z0))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,Q100273),real),i(s(fun(cart(real,Q100273),fun(cart(real,Q100273),real)),dot),s(cart(real,Q100273),X))),s(cart(real,Q100273),Y))))),s(real,i(s(fun(cart(real,Q100273),real),i(s(fun(cart(real,Q100273),fun(cart(real,Q100273),real)),dot),s(cart(real,Q100273),X))),s(cart(real,Q100273),Z0))))) )).++fof(aDOTu_LSUB,axiom,(+ ! [Q100306,X,Y,Z0] : s(real,i(s(fun(cart(real,Q100306),real),i(s(fun(cart(real,Q100306),fun(cart(real,Q100306),real)),dot),s(cart(real,Q100306),i(s(fun(cart(real,Q100306),cart(real,Q100306)),i(s(fun(cart(real,Q100306),fun(cart(real,Q100306),cart(real,Q100306))),vectoru_sub),s(cart(real,Q100306),X))),s(cart(real,Q100306),Y))))),s(cart(real,Q100306),Z0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,Q100306),real),i(s(fun(cart(real,Q100306),fun(cart(real,Q100306),real)),dot),s(cart(real,Q100306),X))),s(cart(real,Q100306),Z0))))),s(real,i(s(fun(cart(real,Q100306),real),i(s(fun(cart(real,Q100306),fun(cart(real,Q100306),real)),dot),s(cart(real,Q100306),Y))),s(cart(real,Q100306),Z0))))) )).++fof(aDOTu_RSUB,axiom,(+ ! [Q100339,X,Y,Z0] : s(real,i(s(fun(cart(real,Q100339),real),i(s(fun(cart(real,Q100339),fun(cart(real,Q100339),real)),dot),s(cart(real,Q100339),X))),s(cart(real,Q100339),i(s(fun(cart(real,Q100339),cart(real,Q100339)),i(s(fun(cart(real,Q100339),fun(cart(real,Q100339),cart(real,Q100339))),vectoru_sub),s(cart(real,Q100339),Y))),s(cart(real,Q100339),Z0))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,Q100339),real),i(s(fun(cart(real,Q100339),fun(cart(real,Q100339),real)),dot),s(cart(real,Q100339),X))),s(cart(real,Q100339),Y))))),s(real,i(s(fun(cart(real,Q100339),real),i(s(fun(cart(real,Q100339),fun(cart(real,Q100339),real)),dot),s(cart(real,Q100339),X))),s(cart(real,Q100339),Z0))))) )).++fof(aDOTu_LMUL,axiom,(+ ! [Q100362,C0,X,Y] : s(real,i(s(fun(cart(real,Q100362),real),i(s(fun(cart(real,Q100362),fun(cart(real,Q100362),real)),dot),s(cart(real,Q100362),i(s(fun(cart(real,Q100362),cart(real,Q100362)),i(s(fun(real,fun(cart(real,Q100362),cart(real,Q100362))),r_),s(real,C0))),s(cart(real,Q100362),X))))),s(cart(real,Q100362),Y))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,C0))),s(real,i(s(fun(cart(real,Q100362),real),i(s(fun(cart(real,Q100362),fun(cart(real,Q100362),real)),dot),s(cart(real,Q100362),X))),s(cart(real,Q100362),Y))))) )).++fof(aDOTu_RMUL,axiom,(+ ! [Q100390,C0,X,Y] : s(real,i(s(fun(cart(real,Q100390),real),i(s(fun(cart(real,Q100390),fun(cart(real,Q100390),real)),dot),s(cart(real,Q100390),X))),s(cart(real,Q100390),i(s(fun(cart(real,Q100390),cart(real,Q100390)),i(s(fun(real,fun(cart(real,Q100390),cart(real,Q100390))),r_),s(real,C0))),s(cart(real,Q100390),Y))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,C0))),s(real,i(s(fun(cart(real,Q100390),real),i(s(fun(cart(real,Q100390),fun(cart(real,Q100390),real)),dot),s(cart(real,Q100390),X))),s(cart(real,Q100390),Y))))) )).++fof(aDOTu_LNEG,axiom,(+ ! [Q100419,X,Y] : s(real,i(s(fun(cart(real,Q100419),real),i(s(fun(cart(real,Q100419),fun(cart(real,Q100419),real)),dot),s(cart(real,Q100419),i(s(fun(cart(real,Q100419),cart(real,Q100419)),vectoru_neg),s(cart(real,Q100419),X))))),s(cart(real,Q100419),Y))) = s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(cart(real,Q100419),real),i(s(fun(cart(real,Q100419),fun(cart(real,Q100419),real)),dot),s(cart(real,Q100419),X))),s(cart(real,Q100419),Y))))) )).++fof(aDOTu_RNEG,axiom,(+ ! [Q100443,X,Y] : s(real,i(s(fun(cart(real,Q100443),real),i(s(fun(cart(real,Q100443),fun(cart(real,Q100443),real)),dot),s(cart(real,Q100443),X))),s(cart(real,Q100443),i(s(fun(cart(real,Q100443),cart(real,Q100443)),vectoru_neg),s(cart(real,Q100443),Y))))) = s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(cart(real,Q100443),real),i(s(fun(cart(real,Q100443),fun(cart(real,Q100443),real)),dot),s(cart(real,Q100443),X))),s(cart(real,Q100443),Y))))) )).++fof(aDOTu_LZERO,axiom,(+ ! [Q100457,X] : s(real,i(s(fun(cart(real,Q100457),real),i(s(fun(cart(real,Q100457),fun(cart(real,Q100457),real)),dot),s(cart(real,Q100457),i(s(fun(num,cart(real,Q100457)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,Q100457),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aDOTu_RZERO,axiom,(+ ! [Q100472,X] : s(real,i(s(fun(cart(real,Q100472),real),i(s(fun(cart(real,Q100472),fun(cart(real,Q100472),real)),dot),s(cart(real,Q100472),X))),s(cart(real,Q100472),i(s(fun(num,cart(real,Q100472)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aDOTu_POSu_LE,axiom,(+ ! [Q100487,X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q100487),real),i(s(fun(cart(real,Q100487),fun(cart(real,Q100487),real)),dot),s(cart(real,Q100487),X))),s(cart(real,Q100487),X)))))) )).++fof(aDOTu_EQu_0,axiom,(+ ! [N,X] :+ ( s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(cart(real,N),X) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aDOTu_POSu_LT,axiom,(+ ! [Q100537,X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q100537),real),i(s(fun(cart(real,Q100537),fun(cart(real,Q100537),real)),dot),s(cart(real,Q100537),X))),s(cart(real,Q100537),X))))))+ <=> s(cart(real,Q100537),X) != s(cart(real,Q100537),i(s(fun(num,cart(real,Q100537)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aFORALLu_DOTu_EQu_0u_conjunct0,axiom,(+ ! [Q100563,Y] :+ ( ! [X] : s(real,i(s(fun(cart(real,Q100563),real),i(s(fun(cart(real,Q100563),fun(cart(real,Q100563),real)),dot),s(cart(real,Q100563),X))),s(cart(real,Q100563),Y))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(cart(real,Q100563),Y) = s(cart(real,Q100563),i(s(fun(num,cart(real,Q100563)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aFORALLu_DOTu_EQu_0u_conjunct1,axiom,(+ ! [Q100586,X] :+ ( ! [Y] : s(real,i(s(fun(cart(real,Q100586),real),i(s(fun(cart(real,Q100586),fun(cart(real,Q100586),real)),dot),s(cart(real,Q100586),X))),s(cart(real,Q100586),Y))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(cart(real,Q100586),X) = s(cart(real,Q100586),i(s(fun(num,cart(real,Q100586)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(avectoru_norm,axiom,(+ ! [Q100593,X] : s(real,i(s(fun(cart(real,Q100593),real),vectoru_norm),s(cart(real,Q100593),X))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,Q100593),real),i(s(fun(cart(real,Q100593),fun(cart(real,Q100593),real)),dot),s(cart(real,Q100593),X))),s(cart(real,Q100593),X))))) )).++fof(aFORALLu_DIMINDEXu_1,axiom,+ ( ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(n10,bool),num),dimindex),s(fun(n10,bool),univ)))))) )+ => p(s(bool,i(s(fun(num,bool),p0),s(num,I0)))) )+ <=> p(s(bool,i(s(fun(num,bool),p0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))) )).++fof(aVECTORu_ONE,axiom,(+ ! [U_0] :+ ( ! [X,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),U_0),s(cart(real,n10),X))),s(num,I0))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ => ! [X] : s(cart(real,n10),X) = s(cart(real,n10),i(s(fun(fun(num,real),cart(real,n10)),lambda),s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),U_0),s(cart(real,n10),X))))) ) )).++fof(aFORALLu_REALu_ONE,axiom,(+ ! [U_0] :+ ( ! [X,I0] : s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),U_0),s(real,X))),s(num,I0))) = s(real,X)+ => ( ! [X] : p(s(bool,i(s(fun(cart(real,n10),bool),p0),s(cart(real,n10),X))))+ <=> ! [X] : p(s(bool,i(s(fun(cart(real,n10),bool),p0),s(cart(real,n10),i(s(fun(fun(num,real),cart(real,n10)),lambda),s(fun(num,real),i(s(fun(real,fun(num,real)),U_0),s(real,X)))))))) ) ) )).++fof(aNORMu_REAL,axiom,(+ ! [X] : s(real,i(s(fun(cart(real,n10),real),vectoru_norm),s(cart(real,n10),X))) = s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) )).++fof(adist,axiom,(+ ! [Q100698,X,Y] : s(real,i(s(fun(prod(cart(real,Q100698),cart(real,Q100698)),real),distance),s(prod(cart(real,Q100698),cart(real,Q100698)),i(s(fun(cart(real,Q100698),prod(cart(real,Q100698),cart(real,Q100698))),i(s(fun(cart(real,Q100698),fun(cart(real,Q100698),prod(cart(real,Q100698),cart(real,Q100698)))),c_),s(cart(real,Q100698),X))),s(cart(real,Q100698),Y))))) = s(real,i(s(fun(cart(real,Q100698),real),vectoru_norm),s(cart(real,Q100698),i(s(fun(cart(real,Q100698),cart(real,Q100698)),i(s(fun(cart(real,Q100698),fun(cart(real,Q100698),cart(real,Q100698))),vectoru_sub),s(cart(real,Q100698),X))),s(cart(real,Q100698),Y))))) )).++fof(aDISTu_REAL,axiom,(+ ! [X,Y] : s(real,i(s(fun(prod(cart(real,n10),cart(real,n10)),real),distance),s(prod(cart(real,n10),cart(real,n10)),i(s(fun(cart(real,n10),prod(cart(real,n10),cart(real,n10))),i(s(fun(cart(real,n10),fun(cart(real,n10),prod(cart(real,n10),cart(real,n10)))),c_),s(cart(real,n10),X))),s(cart(real,n10),Y))))) = s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),Y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) )).++fof(aCONNECTEDu_REALu_LEMMA,axiom,(+ ! [N,F0,A5,B0,E1,E2] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,A5))),s(real,B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(real,cart(real,N)),F0),s(real,A5))))),s(fun(cart(real,N),bool),E1))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(real,cart(real,N)),F0),s(real,B0))))),s(fun(cart(real,N),bool),E2))))+ & ! [E0,X] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,A5))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,B0))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,E0)))) )+ => ? [D0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,D0))))+ & ! [Y] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,Y))),s(real,X))))))),s(real,D0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),i(s(fun(real,cart(real,N)),F0),s(real,Y))))),s(cart(real,N),i(s(fun(real,cart(real,N)),F0),s(real,X))))))))),s(real,E0)))) ) ) )+ & ! [Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),E1))))+ => ? [E0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,E0))))+ & ! [YI_] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),YI_))),s(cart(real,N),Y))))))),s(real,E0))))+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),YI_))),s(fun(cart(real,N),bool),E1)))) ) ) )+ & ! [Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),E2))))+ => ? [E0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,E0))))+ & ! [YI_] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),YI_))),s(cart(real,N),Y))))))),s(real,E0))))+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),YI_))),s(fun(cart(real,N),bool),E2)))) ) ) )+ & ~ ? [X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,A5))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(real,cart(real,N)),F0),s(real,X))))),s(fun(cart(real,N),bool),E1))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(real,cart(real,N)),F0),s(real,X))))),s(fun(cart(real,N),bool),E2)))) ) )+ => ? [X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,A5))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,B0))))+ & ~ p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(real,cart(real,N)),F0),s(real,X))))),s(fun(cart(real,N),bool),E1))))+ & ~ p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(real,cart(real,N)),F0),s(real,X))))),s(fun(cart(real,N),bool),E2)))) ) ) )).++fof(aSQUAREu_BOUNDu_LEMMA,axiom,(+ ! [X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,X)))))))) )).++fof(aSQUAREu_CONTINUOUS,axiom,(+ ! [X,E0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,E0))))+ => ? [D0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,D0))))+ & ! [Y] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,Y))),s(real,X))))))),s(real,D0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,Y))),s(real,Y))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X))),s(real,X))))))))),s(real,E0)))) ) ) ) )).++fof(aSQRTu_WORKS,axiom,(+ ! [X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ => ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X))))))+ & s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,X) ) ) )).++fof(aSQRTu_POSu_LE,axiom,(+ ! [X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X)))))) ) )).++fof(aSQRTu_POWu_2,axiom,(+ ! [X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ => s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,X) ) )).++fof(aSQRTu_MUL,axiom,(+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,Y)))) )+ => s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X))),s(real,Y))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(real,i(s(fun(real,real),sqrt),s(real,Y))))) ) )).++fof(aSQRTu_INV,axiom,(+ ! [X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ => s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),realu_inv),s(real,X))))) = s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),sqrt),s(real,X))))) ) )).++fof(aSQRTu_DIV,axiom,(+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,Y)))) )+ => s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,X))),s(real,Y))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(real,i(s(fun(real,real),sqrt),s(real,Y))))) ) )).++fof(aSQRTu_POW2,axiom,(+ ! [X] :+ ( s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,X)+ <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X)))) ) )).++fof(aSQRTu_MONOu_LT,axiom,(+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y)))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(real,i(s(fun(real,real),sqrt),s(real,Y)))))) ) )).++fof(aSQRTu_MONOu_LE,axiom,(+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y)))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(real,i(s(fun(real,real),sqrt),s(real,Y)))))) ) )).++fof(aSQRTu_MONOu_LTu_EQ,axiom,(+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,Y)))) )+ => s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(real,i(s(fun(real,real),sqrt),s(real,Y))))) = s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))) ) )).++fof(aSQRTu_MONOu_LEu_EQ,axiom,(+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,Y)))) )+ => s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(real,i(s(fun(real,real),sqrt),s(real,Y))))) = s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))) ) )).++fof(aSQRTu_INJ,axiom,(+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,Y)))) )+ => ( s(real,i(s(fun(real,real),sqrt),s(real,X))) = s(real,i(s(fun(real,real),sqrt),s(real,Y)))+ <=> s(real,X) = s(real,Y) ) ) )).++fof(aSQRTu_LTu_0,axiom,(+ ! [X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ => s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X))))) = s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))) ) )).++fof(aSQRTu_EQu_0,axiom,(+ ! [X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ => ( s(real,i(s(fun(real,real),sqrt),s(real,X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(real,X) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aSQRTu_POSu_LT,axiom,(+ ! [X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),sqrt),s(real,X)))))) ) )).++fof(aREALu_LEu_LSQRT,axiom,(+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,Y))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,Y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(real,Y)))) ) )).++fof(aREALu_LEu_RSQRT,axiom,(+ ! [X,Y] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,Y))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,i(s(fun(real,real),sqrt),s(real,Y)))))) ) )).++fof(aREALu_LTu_LSQRT,axiom,(+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,Y))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,Y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(real,Y)))) ) )).++fof(aREALu_LTu_RSQRT,axiom,(+ ! [X,Y] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,Y))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,i(s(fun(real,real),sqrt),s(real,Y)))))) ) )).++fof(aSQRTu_EVENu_POW2,axiom,(+ ! [N0] :+ ( p(s(bool,i(s(fun(num,bool),even),s(num,N0))))+ => s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(num,N0))))) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),div),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) ) )).++fof(aREALu_DIVu_SQRT,axiom,(+ ! [X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ => s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,X))),s(real,i(s(fun(real,real),sqrt),s(real,X))))) = s(real,i(s(fun(real,real),sqrt),s(real,X))) ) )).++fof(aREALu_RSQRTu_LE,axiom,(+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,Y))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,i(s(fun(real,real),sqrt),s(real,Y)))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,Y)))) ) )).++fof(aREALu_LSQRTu_LE,axiom,(+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),sqrt),s(real,X))))),s(real,Y)))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,Y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) )).++fof(aNORMu_0,axiom,(+ ! [Q102146] : s(real,i(s(fun(cart(real,Q102146),real),vectoru_norm),s(cart(real,Q102146),i(s(fun(num,cart(real,Q102146)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aNORMu_POSu_LE,axiom,(+ ! [Q102162,X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q102162),real),vectoru_norm),s(cart(real,Q102162),X)))))) )).++fof(aNORMu_NEG,axiom,(+ ! [Q102180,X] : s(real,i(s(fun(cart(real,Q102180),real),vectoru_norm),s(cart(real,Q102180),i(s(fun(cart(real,Q102180),cart(real,Q102180)),vectoru_neg),s(cart(real,Q102180),X))))) = s(real,i(s(fun(cart(real,Q102180),real),vectoru_norm),s(cart(real,Q102180),X))) )).++fof(aNORMu_SUB,axiom,(+ ! [Q102210,X,Y] : s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),X))),s(cart(real,Q102210),Y))))) = s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),Y))),s(cart(real,Q102210),X))))) )).++fof(aNORMu_MUL,axiom,(+ ! [Q102231,A5,X] : s(real,i(s(fun(cart(real,Q102231),real),vectoru_norm),s(cart(real,Q102231),i(s(fun(cart(real,Q102231),cart(real,Q102231)),i(s(fun(real,fun(cart(real,Q102231),cart(real,Q102231))),r_),s(real,A5))),s(cart(real,Q102231),X))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),realu_abs),s(real,A5))))),s(real,i(s(fun(cart(real,Q102231),real),vectoru_norm),s(cart(real,Q102231),X))))) )).++fof(aNORMu_EQu_0u_DOT,axiom,(+ ! [Q102254,X] :+ ( s(real,i(s(fun(cart(real,Q102254),real),vectoru_norm),s(cart(real,Q102254),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(real,i(s(fun(cart(real,Q102254),real),i(s(fun(cart(real,Q102254),fun(cart(real,Q102254),real)),dot),s(cart(real,Q102254),X))),s(cart(real,Q102254),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aNORMu_EQu_0,axiom,(+ ! [Q102285,X] :+ ( s(real,i(s(fun(cart(real,Q102285),real),vectoru_norm),s(cart(real,Q102285),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(cart(real,Q102285),X) = s(cart(real,Q102285),i(s(fun(num,cart(real,Q102285)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aNORMu_POSu_LT,axiom,(+ ! [Q102307,X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q102307),real),vectoru_norm),s(cart(real,Q102307),X))))))+ <=> s(cart(real,Q102307),X) != s(cart(real,Q102307),i(s(fun(num,cart(real,Q102307)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aNORMu_POWu_2,axiom,(+ ! [Q102322,X] : s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q102322),real),vectoru_norm),s(cart(real,Q102322),X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,i(s(fun(cart(real,Q102322),real),i(s(fun(cart(real,Q102322),fun(cart(real,Q102322),real)),dot),s(cart(real,Q102322),X))),s(cart(real,Q102322),X))) )).++fof(aNORMu_EQu_0u_IMP,axiom,(+ ! [Q102346,X] :+ ( s(real,i(s(fun(cart(real,Q102346),real),vectoru_norm),s(cart(real,Q102346),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => s(cart(real,Q102346),X) = s(cart(real,Q102346),i(s(fun(num,cart(real,Q102346)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aNORMu_LEu_0,axiom,(+ ! [Q102367,X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q102367),real),vectoru_norm),s(cart(real,Q102367),X))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))+ <=> s(cart(real,Q102367),X) = s(cart(real,Q102367),i(s(fun(num,cart(real,Q102367)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aVECTORu_MULu_EQu_0,axiom,(+ ! [Q102400,A5,X] :+ ( s(cart(real,Q102400),i(s(fun(cart(real,Q102400),cart(real,Q102400)),i(s(fun(real,fun(cart(real,Q102400),cart(real,Q102400))),r_),s(real,A5))),s(cart(real,Q102400),X))) = s(cart(real,Q102400),i(s(fun(num,cart(real,Q102400)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> ( s(real,A5) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ | s(cart(real,Q102400),X) = s(cart(real,Q102400),i(s(fun(num,cart(real,Q102400)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aVECTORu_MULu_LCANCEL,axiom,(+ ! [Q102424,A5,X,Y] :+ ( s(cart(real,Q102424),i(s(fun(cart(real,Q102424),cart(real,Q102424)),i(s(fun(real,fun(cart(real,Q102424),cart(real,Q102424))),r_),s(real,A5))),s(cart(real,Q102424),X))) = s(cart(real,Q102424),i(s(fun(cart(real,Q102424),cart(real,Q102424)),i(s(fun(real,fun(cart(real,Q102424),cart(real,Q102424))),r_),s(real,A5))),s(cart(real,Q102424),Y)))+ <=> ( s(real,A5) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ | s(cart(real,Q102424),X) = s(cart(real,Q102424),Y) ) ) )).++fof(aVECTORu_MULu_RCANCEL,axiom,(+ ! [Q102468,A5,B0,X] :+ ( s(cart(real,Q102468),i(s(fun(cart(real,Q102468),cart(real,Q102468)),i(s(fun(real,fun(cart(real,Q102468),cart(real,Q102468))),r_),s(real,A5))),s(cart(real,Q102468),X))) = s(cart(real,Q102468),i(s(fun(cart(real,Q102468),cart(real,Q102468)),i(s(fun(real,fun(cart(real,Q102468),cart(real,Q102468))),r_),s(real,B0))),s(cart(real,Q102468),X)))+ <=> ( s(real,A5) = s(real,B0)+ | s(cart(real,Q102468),X) = s(cart(real,Q102468),i(s(fun(num,cart(real,Q102468)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aVECTORu_MULu_LCANCELu_IMP,axiom,(+ ! [Q102500,A5,X,Y] :+ ( ( s(real,A5) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & s(cart(real,Q102500),i(s(fun(cart(real,Q102500),cart(real,Q102500)),i(s(fun(real,fun(cart(real,Q102500),cart(real,Q102500))),r_),s(real,A5))),s(cart(real,Q102500),X))) = s(cart(real,Q102500),i(s(fun(cart(real,Q102500),cart(real,Q102500)),i(s(fun(real,fun(cart(real,Q102500),cart(real,Q102500))),r_),s(real,A5))),s(cart(real,Q102500),Y))) )+ => s(cart(real,Q102500),X) = s(cart(real,Q102500),Y) ) )).++fof(aVECTORu_MULu_RCANCELu_IMP,axiom,(+ ! [Q102535,A5,B0,X] :+ ( ( s(cart(real,Q102535),X) != s(cart(real,Q102535),i(s(fun(num,cart(real,Q102535)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & s(cart(real,Q102535),i(s(fun(cart(real,Q102535),cart(real,Q102535)),i(s(fun(real,fun(cart(real,Q102535),cart(real,Q102535))),r_),s(real,A5))),s(cart(real,Q102535),X))) = s(cart(real,Q102535),i(s(fun(cart(real,Q102535),cart(real,Q102535)),i(s(fun(real,fun(cart(real,Q102535),cart(real,Q102535))),r_),s(real,B0))),s(cart(real,Q102535),X))) )+ => s(real,A5) = s(real,B0) ) )).++fof(aNORMu_CAUCHYu_SCHWARZ,axiom,(+ ! [N,X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),Y))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y)))))))) )).++fof(aNORMu_CAUCHYu_SCHWARZu_ABS,axiom,(+ ! [N,X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),Y))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y)))))))) )).++fof(aREALu_ABSu_NORM,axiom,(+ ! [Q102710,X] : s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,Q102710),real),vectoru_norm),s(cart(real,Q102710),X))))) = s(real,i(s(fun(cart(real,Q102710),real),vectoru_norm),s(cart(real,Q102710),X))) )).++fof(aNORMu_CAUCHYu_SCHWARZu_DIV,axiom,(+ ! [N,X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),Y))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y))))))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )).++fof(aNORMu_TRIANGLE,axiom,(+ ! [Q102822,X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q102822),real),vectoru_norm),s(cart(real,Q102822),i(s(fun(cart(real,Q102822),cart(real,Q102822)),i(s(fun(cart(real,Q102822),fun(cart(real,Q102822),cart(real,Q102822))),vectoru_add),s(cart(real,Q102822),X))),s(cart(real,Q102822),Y))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,Q102822),real),vectoru_norm),s(cart(real,Q102822),X))))),s(real,i(s(fun(cart(real,Q102822),real),vectoru_norm),s(cart(real,Q102822),Y)))))))) )).++fof(aNORMu_TRIANGLEu_SUB,axiom,(+ ! [N,X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),X))),s(cart(real,N),Y)))))))))) )).++fof(aNORMu_TRIANGLEu_LE,axiom,(+ ! [Q102893,X,Y] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,Q102893),real),vectoru_norm),s(cart(real,Q102893),X))))),s(real,i(s(fun(cart(real,Q102893),real),vectoru_norm),s(cart(real,Q102893),Y))))))),s(real,e0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q102893),real),vectoru_norm),s(cart(real,Q102893),i(s(fun(cart(real,Q102893),cart(real,Q102893)),i(s(fun(cart(real,Q102893),fun(cart(real,Q102893),cart(real,Q102893))),vectoru_add),s(cart(real,Q102893),X))),s(cart(real,Q102893),Y))))))),s(real,e0)))) ) )).++fof(aNORMu_TRIANGLEu_LT,axiom,(+ ! [Q102930,X,Y] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,Q102930),real),vectoru_norm),s(cart(real,Q102930),X))))),s(real,i(s(fun(cart(real,Q102930),real),vectoru_norm),s(cart(real,Q102930),Y))))))),s(real,e0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,Q102930),real),vectoru_norm),s(cart(real,Q102930),i(s(fun(cart(real,Q102930),cart(real,Q102930)),i(s(fun(cart(real,Q102930),fun(cart(real,Q102930),cart(real,Q102930))),vectoru_add),s(cart(real,Q102930),X))),s(cart(real,Q102930),Y))))))),s(real,e0)))) ) )).++fof(aCOMPONENTu_LEu_NORM,axiom,(+ ! [N,X,I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X)))))) ) )).++fof(aNORMu_BOUNDu_COMPONENTu_LE,axiom,(+ ! [N,X,E0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,E0))))+ => ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))))),s(real,E0)))) ) ) )).++fof(aNORMu_BOUNDu_COMPONENTu_LT,axiom,(+ ! [N,X,E0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,E0))))+ => ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))))),s(real,E0)))) ) ) )).++fof(aNORMu_LEu_L1,axiom,(+ ! [N,U_0] :+ ( ! [X,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),U_0),s(cart(real,N),X))),s(num,I0))) = s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0)))))+ => ! [X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),U_0),s(cart(real,N),X)))))))) ) )).++fof(aREALu_ABSu_SUBu_NORM,axiom,(+ ! [Q103229] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,Q103229),real),vectoru_norm),s(cart(real,Q103229),x))))),s(real,i(s(fun(cart(real,Q103229),real),vectoru_norm),s(cart(real,Q103229),y))))))))),s(real,i(s(fun(cart(real,Q103229),real),vectoru_norm),s(cart(real,Q103229),i(s(fun(cart(real,Q103229),cart(real,Q103229)),i(s(fun(cart(real,Q103229),fun(cart(real,Q103229),cart(real,Q103229))),vectoru_sub),s(cart(real,Q103229),x))),s(cart(real,Q103229),y)))))))) )).++fof(aNORMu_LE,axiom,(+ ! [Q103249,Q103251,X,Y] : s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q103249),real),vectoru_norm),s(cart(real,Q103249),X))))),s(real,i(s(fun(cart(real,Q103251),real),vectoru_norm),s(cart(real,Q103251),Y))))) = s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q103249),real),i(s(fun(cart(real,Q103249),fun(cart(real,Q103249),real)),dot),s(cart(real,Q103249),X))),s(cart(real,Q103249),X))))),s(real,i(s(fun(cart(real,Q103251),real),i(s(fun(cart(real,Q103251),fun(cart(real,Q103251),real)),dot),s(cart(real,Q103251),Y))),s(cart(real,Q103251),Y))))) )).++fof(aNORMu_LT,axiom,(+ ! [Q103280,Q103282,X,Y] : s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,Q103280),real),vectoru_norm),s(cart(real,Q103280),X))))),s(real,i(s(fun(cart(real,Q103282),real),vectoru_norm),s(cart(real,Q103282),Y))))) = s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,Q103280),real),i(s(fun(cart(real,Q103280),fun(cart(real,Q103280),real)),dot),s(cart(real,Q103280),X))),s(cart(real,Q103280),X))))),s(real,i(s(fun(cart(real,Q103282),real),i(s(fun(cart(real,Q103282),fun(cart(real,Q103282),real)),dot),s(cart(real,Q103282),Y))),s(cart(real,Q103282),Y))))) )).++fof(aNORMu_EQ,axiom,(+ ! [Q103311,Q103313,X,Y] :+ ( s(real,i(s(fun(cart(real,Q103311),real),vectoru_norm),s(cart(real,Q103311),X))) = s(real,i(s(fun(cart(real,Q103313),real),vectoru_norm),s(cart(real,Q103313),Y)))+ <=> s(real,i(s(fun(cart(real,Q103311),real),i(s(fun(cart(real,Q103311),fun(cart(real,Q103311),real)),dot),s(cart(real,Q103311),X))),s(cart(real,Q103311),X))) = s(real,i(s(fun(cart(real,Q103313),real),i(s(fun(cart(real,Q103313),fun(cart(real,Q103313),real)),dot),s(cart(real,Q103313),Y))),s(cart(real,Q103313),Y))) ) )).++fof(aNORMu_EQu_1,axiom,(+ ! [Q103338,X] :+ ( s(real,i(s(fun(cart(real,Q103338),real),vectoru_norm),s(cart(real,Q103338),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> s(real,i(s(fun(cart(real,Q103338),real),i(s(fun(cart(real,Q103338),fun(cart(real,Q103338),real)),dot),s(cart(real,Q103338),X))),s(cart(real,Q103338),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )).++fof(aNORMu_LEu_COMPONENTWISE,axiom,(+ ! [N,X,Y] :+ ( ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),Y))),s(num,I0)))))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y)))))) ) )).++fof(aDOTu_SQUAREu_NORM,axiom,(+ ! [Q103415,X] : s(real,i(s(fun(cart(real,Q103415),real),i(s(fun(cart(real,Q103415),fun(cart(real,Q103415),real)),dot),s(cart(real,Q103415),X))),s(cart(real,Q103415),X))) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q103415),real),vectoru_norm),s(cart(real,Q103415),X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) )).++fof(aNORMu_EQu_SQUARE,axiom,(+ ! [N,X] :+ ( s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))) = s(real,a0)+ <=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))+ & s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X))) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) ) ) )).++fof(aNORMu_LEu_SQUARE,axiom,(+ ! [N,X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,a0))))+ <=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ) )).++fof(aNORMu_GEu_SQUARE,axiom,(+ ! [N,X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_ge),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,a0))))+ <=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))+ | p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_ge),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ) )).++fof(aNORMu_LTu_SQUARE,axiom,(+ ! [N,X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,a0))))+ <=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ) )).++fof(aNORMu_GTu_SQUARE,axiom,(+ ! [N,X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_gt),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,a0))))+ <=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,a0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))+ | p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_gt),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ) )).++fof(aNORMu_LTu_SQUAREu_ALT,axiom,(+ ! [N,X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,a0))))+ <=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ) ) )).++fof(aDOTu_NORM,axiom,(+ ! [Q104506,X,Y] : s(real,i(s(fun(cart(real,Q104506),real),i(s(fun(cart(real,Q104506),fun(cart(real,Q104506),real)),dot),s(cart(real,Q104506),X))),s(cart(real,Q104506),Y))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q104506),real),vectoru_norm),s(cart(real,Q104506),i(s(fun(cart(real,Q104506),cart(real,Q104506)),i(s(fun(cart(real,Q104506),fun(cart(real,Q104506),cart(real,Q104506))),vectoru_add),s(cart(real,Q104506),X))),s(cart(real,Q104506),Y))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q104506),real),vectoru_norm),s(cart(real,Q104506),X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q104506),real),vectoru_norm),s(cart(real,Q104506),Y))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) )).++fof(aDOTu_NORMu_NEG,axiom,(+ ! [Q104559,X,Y] : s(real,i(s(fun(cart(real,Q104559),real),i(s(fun(cart(real,Q104559),fun(cart(real,Q104559),real)),dot),s(cart(real,Q104559),X))),s(cart(real,Q104559),Y))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q104559),real),vectoru_norm),s(cart(real,Q104559),X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q104559),real),vectoru_norm),s(cart(real,Q104559),Y))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q104559),real),vectoru_norm),s(cart(real,Q104559),i(s(fun(cart(real,Q104559),cart(real,Q104559)),i(s(fun(cart(real,Q104559),fun(cart(real,Q104559),cart(real,Q104559))),vectoru_sub),s(cart(real,Q104559),X))),s(cart(real,Q104559),Y))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) )).++fof(aDOTu_NORMu_SUB,axiom,(+ ! [Q104610,X,Y] : s(real,i(s(fun(cart(real,Q104610),real),i(s(fun(cart(real,Q104610),fun(cart(real,Q104610),real)),dot),s(cart(real,Q104610),X))),s(cart(real,Q104610),Y))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q104610),real),vectoru_norm),s(cart(real,Q104610),X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q104610),real),vectoru_norm),s(cart(real,Q104610),Y))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q104610),real),vectoru_norm),s(cart(real,Q104610),i(s(fun(cart(real,Q104610),cart(real,Q104610)),i(s(fun(cart(real,Q104610),fun(cart(real,Q104610),cart(real,Q104610))),vectoru_sub),s(cart(real,Q104610),X))),s(cart(real,Q104610),Y))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) )).++fof(aVECTORu_EQ,axiom,(+ ! [Q104636,X,Y] :+ ( s(cart(real,Q104636),X) = s(cart(real,Q104636),Y)+ <=> ( s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X))) = s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),Y)))+ & s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),Y))),s(cart(real,Q104636),Y))) = s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X))) ) ) )).++fof(aDISTu_REFL,axiom,(+ ! [Q104658,X] : s(real,i(s(fun(prod(cart(real,Q104658),cart(real,Q104658)),real),distance),s(prod(cart(real,Q104658),cart(real,Q104658)),i(s(fun(cart(real,Q104658),prod(cart(real,Q104658),cart(real,Q104658))),i(s(fun(cart(real,Q104658),fun(cart(real,Q104658),prod(cart(real,Q104658),cart(real,Q104658)))),c_),s(cart(real,Q104658),X))),s(cart(real,Q104658),X))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aDISTu_SYM,axiom,(+ ! [Q104680,X,Y] : s(real,i(s(fun(prod(cart(real,Q104680),cart(real,Q104680)),real),distance),s(prod(cart(real,Q104680),cart(real,Q104680)),i(s(fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680))),i(s(fun(cart(real,Q104680),fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680)))),c_),s(cart(real,Q104680),X))),s(cart(real,Q104680),Y))))) = s(real,i(s(fun(prod(cart(real,Q104680),cart(real,Q104680)),real),distance),s(prod(cart(real,Q104680),cart(real,Q104680)),i(s(fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680))),i(s(fun(cart(real,Q104680),fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680)))),c_),s(cart(real,Q104680),Y))),s(cart(real,Q104680),X))))) )).++fof(aDISTu_POSu_LE,axiom,(+ ! [Q104710,X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(prod(cart(real,Q104710),cart(real,Q104710)),real),distance),s(prod(cart(real,Q104710),cart(real,Q104710)),i(s(fun(cart(real,Q104710),prod(cart(real,Q104710),cart(real,Q104710))),i(s(fun(cart(real,Q104710),fun(cart(real,Q104710),prod(cart(real,Q104710),cart(real,Q104710)))),c_),s(cart(real,Q104710),X))),s(cart(real,Q104710),Y)))))))) )).++fof(aDISTu_TRIANGLE,axiom,(+ ! [N,X,Y,Z0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),X))),s(cart(real,N),Z0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),X))),s(cart(real,N),Y))))))),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),Y))),s(cart(real,N),Z0)))))))))) )).++fof(aDISTu_TRIANGLEu_ALT,axiom,(+ ! [Q104777,X,Y,Z0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(prod(cart(real,Q104777),cart(real,Q104777)),real),distance),s(prod(cart(real,Q104777),cart(real,Q104777)),i(s(fun(cart(real,Q104777),prod(cart(real,Q104777),cart(real,Q104777))),i(s(fun(cart(real,Q104777),fun(cart(real,Q104777),prod(cart(real,Q104777),cart(real,Q104777)))),c_),s(cart(real,Q104777),Y))),s(cart(real,Q104777),Z0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(prod(cart(real,Q104777),cart(real,Q104777)),real),distance),s(prod(cart(real,Q104777),cart(real,Q104777)),i(s(fun(cart(real,Q104777),prod(cart(real,Q104777),cart(real,Q104777))),i(s(fun(cart(real,Q104777),fun(cart(real,Q104777),prod(cart(real,Q104777),cart(real,Q104777)))),c_),s(cart(real,Q104777),X))),s(cart(real,Q104777),Y))))))),s(real,i(s(fun(prod(cart(real,Q104777),cart(real,Q104777)),real),distance),s(prod(cart(real,Q104777),cart(real,Q104777)),i(s(fun(cart(real,Q104777),prod(cart(real,Q104777),cart(real,Q104777))),i(s(fun(cart(real,Q104777),fun(cart(real,Q104777),prod(cart(real,Q104777),cart(real,Q104777)))),c_),s(cart(real,Q104777),X))),s(cart(real,Q104777),Z0)))))))))) )).++fof(aDISTu_EQu_0,axiom,(+ ! [Q104818,X,Y] :+ ( s(real,i(s(fun(prod(cart(real,Q104818),cart(real,Q104818)),real),distance),s(prod(cart(real,Q104818),cart(real,Q104818)),i(s(fun(cart(real,Q104818),prod(cart(real,Q104818),cart(real,Q104818))),i(s(fun(cart(real,Q104818),fun(cart(real,Q104818),prod(cart(real,Q104818),cart(real,Q104818)))),c_),s(cart(real,Q104818),X))),s(cart(real,Q104818),Y))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(cart(real,Q104818),X) = s(cart(real,Q104818),Y) ) )).++fof(aDISTu_POSu_LT,axiom,(+ ! [Q104851,X,Y] :+ ( s(cart(real,Q104851),X) != s(cart(real,Q104851),Y)+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(prod(cart(real,Q104851),cart(real,Q104851)),real),distance),s(prod(cart(real,Q104851),cart(real,Q104851)),i(s(fun(cart(real,Q104851),prod(cart(real,Q104851),cart(real,Q104851))),i(s(fun(cart(real,Q104851),fun(cart(real,Q104851),prod(cart(real,Q104851),cart(real,Q104851)))),c_),s(cart(real,Q104851),X))),s(cart(real,Q104851),Y)))))))) ) )).++fof(aDISTu_NZ,axiom,(+ ! [Q104879,X,Y] :+ ( s(cart(real,Q104879),X) != s(cart(real,Q104879),Y)+ <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(prod(cart(real,Q104879),cart(real,Q104879)),real),distance),s(prod(cart(real,Q104879),cart(real,Q104879)),i(s(fun(cart(real,Q104879),prod(cart(real,Q104879),cart(real,Q104879))),i(s(fun(cart(real,Q104879),fun(cart(real,Q104879),prod(cart(real,Q104879),cart(real,Q104879)))),c_),s(cart(real,Q104879),X))),s(cart(real,Q104879),Y)))))))) ) )).++fof(aDISTu_TRIANGLEu_LE,axiom,(+ ! [Q104912,X,Y,Z0,E0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(prod(cart(real,Q104912),cart(real,Q104912)),real),distance),s(prod(cart(real,Q104912),cart(real,Q104912)),i(s(fun(cart(real,Q104912),prod(cart(real,Q104912),cart(real,Q104912))),i(s(fun(cart(real,Q104912),fun(cart(real,Q104912),prod(cart(real,Q104912),cart(real,Q104912)))),c_),s(cart(real,Q104912),X))),s(cart(real,Q104912),Z0))))))),s(real,i(s(fun(prod(cart(real,Q104912),cart(real,Q104912)),real),distance),s(prod(cart(real,Q104912),cart(real,Q104912)),i(s(fun(cart(real,Q104912),prod(cart(real,Q104912),cart(real,Q104912))),i(s(fun(cart(real,Q104912),fun(cart(real,Q104912),prod(cart(real,Q104912),cart(real,Q104912)))),c_),s(cart(real,Q104912),Y))),s(cart(real,Q104912),Z0))))))))),s(real,E0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(prod(cart(real,Q104912),cart(real,Q104912)),real),distance),s(prod(cart(real,Q104912),cart(real,Q104912)),i(s(fun(cart(real,Q104912),prod(cart(real,Q104912),cart(real,Q104912))),i(s(fun(cart(real,Q104912),fun(cart(real,Q104912),prod(cart(real,Q104912),cart(real,Q104912)))),c_),s(cart(real,Q104912),X))),s(cart(real,Q104912),Y))))))),s(real,E0)))) ) )).++fof(aDISTu_TRIANGLEu_LT,axiom,(+ ! [Q104964,X,Y,Z0,E0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(prod(cart(real,Q104964),cart(real,Q104964)),real),distance),s(prod(cart(real,Q104964),cart(real,Q104964)),i(s(fun(cart(real,Q104964),prod(cart(real,Q104964),cart(real,Q104964))),i(s(fun(cart(real,Q104964),fun(cart(real,Q104964),prod(cart(real,Q104964),cart(real,Q104964)))),c_),s(cart(real,Q104964),X))),s(cart(real,Q104964),Z0))))))),s(real,i(s(fun(prod(cart(real,Q104964),cart(real,Q104964)),real),distance),s(prod(cart(real,Q104964),cart(real,Q104964)),i(s(fun(cart(real,Q104964),prod(cart(real,Q104964),cart(real,Q104964))),i(s(fun(cart(real,Q104964),fun(cart(real,Q104964),prod(cart(real,Q104964),cart(real,Q104964)))),c_),s(cart(real,Q104964),Y))),s(cart(real,Q104964),Z0))))))))),s(real,E0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,Q104964),cart(real,Q104964)),real),distance),s(prod(cart(real,Q104964),cart(real,Q104964)),i(s(fun(cart(real,Q104964),prod(cart(real,Q104964),cart(real,Q104964))),i(s(fun(cart(real,Q104964),fun(cart(real,Q104964),prod(cart(real,Q104964),cart(real,Q104964)))),c_),s(cart(real,Q104964),X))),s(cart(real,Q104964),Y))))))),s(real,E0)))) ) )).++fof(aDISTu_TRIANGLEu_HALFu_L,axiom,(+ ! [Q105011,X1,X2,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,Q105011),cart(real,Q105011)),real),distance),s(prod(cart(real,Q105011),cart(real,Q105011)),i(s(fun(cart(real,Q105011),prod(cart(real,Q105011),cart(real,Q105011))),i(s(fun(cart(real,Q105011),fun(cart(real,Q105011),prod(cart(real,Q105011),cart(real,Q105011)))),c_),s(cart(real,Q105011),X1))),s(cart(real,Q105011),Y))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,e0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,Q105011),cart(real,Q105011)),real),distance),s(prod(cart(real,Q105011),cart(real,Q105011)),i(s(fun(cart(real,Q105011),prod(cart(real,Q105011),cart(real,Q105011))),i(s(fun(cart(real,Q105011),fun(cart(real,Q105011),prod(cart(real,Q105011),cart(real,Q105011)))),c_),s(cart(real,Q105011),X2))),s(cart(real,Q105011),Y))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,e0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,Q105011),cart(real,Q105011)),real),distance),s(prod(cart(real,Q105011),cart(real,Q105011)),i(s(fun(cart(real,Q105011),prod(cart(real,Q105011),cart(real,Q105011))),i(s(fun(cart(real,Q105011),fun(cart(real,Q105011),prod(cart(real,Q105011),cart(real,Q105011)))),c_),s(cart(real,Q105011),X1))),s(cart(real,Q105011),X2))))))),s(real,e0)))) ) )).++fof(aDISTu_TRIANGLEu_HALFu_R,axiom,(+ ! [Q105069,X1,X2,Y] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,Q105069),cart(real,Q105069)),real),distance),s(prod(cart(real,Q105069),cart(real,Q105069)),i(s(fun(cart(real,Q105069),prod(cart(real,Q105069),cart(real,Q105069))),i(s(fun(cart(real,Q105069),fun(cart(real,Q105069),prod(cart(real,Q105069),cart(real,Q105069)))),c_),s(cart(real,Q105069),Y))),s(cart(real,Q105069),X1))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,e0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,Q105069),cart(real,Q105069)),real),distance),s(prod(cart(real,Q105069),cart(real,Q105069)),i(s(fun(cart(real,Q105069),prod(cart(real,Q105069),cart(real,Q105069))),i(s(fun(cart(real,Q105069),fun(cart(real,Q105069),prod(cart(real,Q105069),cart(real,Q105069)))),c_),s(cart(real,Q105069),Y))),s(cart(real,Q105069),X2))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,e0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,Q105069),cart(real,Q105069)),real),distance),s(prod(cart(real,Q105069),cart(real,Q105069)),i(s(fun(cart(real,Q105069),prod(cart(real,Q105069),cart(real,Q105069))),i(s(fun(cart(real,Q105069),fun(cart(real,Q105069),prod(cart(real,Q105069),cart(real,Q105069)))),c_),s(cart(real,Q105069),X1))),s(cart(real,Q105069),X2))))))),s(real,e0)))) ) )).++fof(aDISTu_TRIANGLEu_ADD,axiom,(+ ! [Q105155,X,XI_,Y,YI_] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(prod(cart(real,Q105155),cart(real,Q105155)),real),distance),s(prod(cart(real,Q105155),cart(real,Q105155)),i(s(fun(cart(real,Q105155),prod(cart(real,Q105155),cart(real,Q105155))),i(s(fun(cart(real,Q105155),fun(cart(real,Q105155),prod(cart(real,Q105155),cart(real,Q105155)))),c_),s(cart(real,Q105155),i(s(fun(cart(real,Q105155),cart(real,Q105155)),i(s(fun(cart(real,Q105155),fun(cart(real,Q105155),cart(real,Q105155))),vectoru_add),s(cart(real,Q105155),X))),s(cart(real,Q105155),Y))))),s(cart(real,Q105155),i(s(fun(cart(real,Q105155),cart(real,Q105155)),i(s(fun(cart(real,Q105155),fun(cart(real,Q105155),cart(real,Q105155))),vectoru_add),s(cart(real,Q105155),XI_))),s(cart(real,Q105155),YI_))))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(prod(cart(real,Q105155),cart(real,Q105155)),real),distance),s(prod(cart(real,Q105155),cart(real,Q105155)),i(s(fun(cart(real,Q105155),prod(cart(real,Q105155),cart(real,Q105155))),i(s(fun(cart(real,Q105155),fun(cart(real,Q105155),prod(cart(real,Q105155),cart(real,Q105155)))),c_),s(cart(real,Q105155),X))),s(cart(real,Q105155),XI_))))))),s(real,i(s(fun(prod(cart(real,Q105155),cart(real,Q105155)),real),distance),s(prod(cart(real,Q105155),cart(real,Q105155)),i(s(fun(cart(real,Q105155),prod(cart(real,Q105155),cart(real,Q105155))),i(s(fun(cart(real,Q105155),fun(cart(real,Q105155),prod(cart(real,Q105155),cart(real,Q105155)))),c_),s(cart(real,Q105155),Y))),s(cart(real,Q105155),YI_)))))))))) )).++fof(aDISTu_MUL,axiom,(+ ! [Q105190,X,Y,C0] : s(real,i(s(fun(prod(cart(real,Q105190),cart(real,Q105190)),real),distance),s(prod(cart(real,Q105190),cart(real,Q105190)),i(s(fun(cart(real,Q105190),prod(cart(real,Q105190),cart(real,Q105190))),i(s(fun(cart(real,Q105190),fun(cart(real,Q105190),prod(cart(real,Q105190),cart(real,Q105190)))),c_),s(cart(real,Q105190),i(s(fun(cart(real,Q105190),cart(real,Q105190)),i(s(fun(real,fun(cart(real,Q105190),cart(real,Q105190))),r_),s(real,C0))),s(cart(real,Q105190),X))))),s(cart(real,Q105190),i(s(fun(cart(real,Q105190),cart(real,Q105190)),i(s(fun(real,fun(cart(real,Q105190),cart(real,Q105190))),r_),s(real,C0))),s(cart(real,Q105190),Y))))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),realu_abs),s(real,C0))))),s(real,i(s(fun(prod(cart(real,Q105190),cart(real,Q105190)),real),distance),s(prod(cart(real,Q105190),cart(real,Q105190)),i(s(fun(cart(real,Q105190),prod(cart(real,Q105190),cart(real,Q105190))),i(s(fun(cart(real,Q105190),fun(cart(real,Q105190),prod(cart(real,Q105190),cart(real,Q105190)))),c_),s(cart(real,Q105190),X))),s(cart(real,Q105190),Y))))))) )).++fof(aDISTu_TRIANGLEu_ADDu_HALF,axiom,(+ ! [N,X,XI_,Y,YI_] :+ ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),X))),s(cart(real,N),XI_))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,e0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),Y))),s(cart(real,N),YI_))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,e0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),X))),s(cart(real,N),Y))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),XI_))),s(cart(real,N),YI_))))))))),s(real,e0)))) ) )).++fof(aDISTu_LEu_0,axiom,(+ ! [Q105293,X,Y] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(prod(cart(real,Q105293),cart(real,Q105293)),real),distance),s(prod(cart(real,Q105293),cart(real,Q105293)),i(s(fun(cart(real,Q105293),prod(cart(real,Q105293),cart(real,Q105293))),i(s(fun(cart(real,Q105293),fun(cart(real,Q105293),prod(cart(real,Q105293),cart(real,Q105293)))),c_),s(cart(real,Q105293),X))),s(cart(real,Q105293),Y))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))+ <=> s(cart(real,Q105293),X) = s(cart(real,Q105293),Y) ) )).++fof(aDISTu_EQ,axiom,(+ ! [Q105328,Q105334,W,X,Y,Z0] :+ ( s(real,i(s(fun(prod(cart(real,Q105328),cart(real,Q105328)),real),distance),s(prod(cart(real,Q105328),cart(real,Q105328)),i(s(fun(cart(real,Q105328),prod(cart(real,Q105328),cart(real,Q105328))),i(s(fun(cart(real,Q105328),fun(cart(real,Q105328),prod(cart(real,Q105328),cart(real,Q105328)))),c_),s(cart(real,Q105328),W))),s(cart(real,Q105328),X))))) = s(real,i(s(fun(prod(cart(real,Q105334),cart(real,Q105334)),real),distance),s(prod(cart(real,Q105334),cart(real,Q105334)),i(s(fun(cart(real,Q105334),prod(cart(real,Q105334),cart(real,Q105334))),i(s(fun(cart(real,Q105334),fun(cart(real,Q105334),prod(cart(real,Q105334),cart(real,Q105334)))),c_),s(cart(real,Q105334),Y))),s(cart(real,Q105334),Z0)))))+ <=> s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(prod(cart(real,Q105328),cart(real,Q105328)),real),distance),s(prod(cart(real,Q105328),cart(real,Q105328)),i(s(fun(cart(real,Q105328),prod(cart(real,Q105328),cart(real,Q105328))),i(s(fun(cart(real,Q105328),fun(cart(real,Q105328),prod(cart(real,Q105328),cart(real,Q105328)))),c_),s(cart(real,Q105328),W))),s(cart(real,Q105328),X))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(prod(cart(real,Q105334),cart(real,Q105334)),real),distance),s(prod(cart(real,Q105334),cart(real,Q105334)),i(s(fun(cart(real,Q105334),prod(cart(real,Q105334),cart(real,Q105334))),i(s(fun(cart(real,Q105334),fun(cart(real,Q105334),prod(cart(real,Q105334),cart(real,Q105334)))),c_),s(cart(real,Q105334),Y))),s(cart(real,Q105334),Z0))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) ) )).++fof(aDISTu_0,axiom,(+ ! [Q105385,X] :+ ( s(real,i(s(fun(prod(cart(real,Q105385),cart(real,Q105385)),real),distance),s(prod(cart(real,Q105385),cart(real,Q105385)),i(s(fun(cart(real,Q105385),prod(cart(real,Q105385),cart(real,Q105385))),i(s(fun(cart(real,Q105385),fun(cart(real,Q105385),prod(cart(real,Q105385),cart(real,Q105385)))),c_),s(cart(real,Q105385),X))),s(cart(real,Q105385),i(s(fun(num,cart(real,Q105385)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) = s(real,i(s(fun(cart(real,Q105385),real),vectoru_norm),s(cart(real,Q105385),X)))+ & s(real,i(s(fun(prod(cart(real,Q105385),cart(real,Q105385)),real),distance),s(prod(cart(real,Q105385),cart(real,Q105385)),i(s(fun(cart(real,Q105385),prod(cart(real,Q105385),cart(real,Q105385))),i(s(fun(cart(real,Q105385),fun(cart(real,Q105385),prod(cart(real,Q105385),cart(real,Q105385)))),c_),s(cart(real,Q105385),i(s(fun(num,cart(real,Q105385)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,Q105385),X))))) = s(real,i(s(fun(cart(real,Q105385),real),vectoru_norm),s(cart(real,Q105385),X))) ) )).++fof(aNEUTRALu_VECTORu_ADD,axiom,(+ ! [N] : s(cart(real,N),i(s(fun(fun(cart(real,N),fun(cart(real,N),cart(real,N))),cart(real,N)),neutral),s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aMONOIDALu_VECTORu_ADD,axiom,(+ ! [N] : p(s(bool,i(s(fun(fun(cart(real,N),fun(cart(real,N),cart(real,N))),bool),monoidal),s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add)))) )).++fof(avsum,axiom,(+ ! [A,N,U_1] :+ ( ! [F0,I0,X] : s(real,i(s(fun(A,real),i(s(fun(num,fun(A,real)),i(s(fun(fun(A,cart(real,N)),fun(num,fun(A,real))),U_1),s(fun(A,cart(real,N)),F0))),s(num,I0))),s(A,X))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,X))))),s(num,I0)))+ => ! [U_0] :+ ( ! [S0,F0,I0] : s(real,i(s(fun(num,real),i(s(fun(fun(A,cart(real,N)),fun(num,real)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),fun(num,real))),U_0),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),F0))),s(num,I0))) = s(real,i(s(fun(fun(A,real),real),i(s(fun(fun(A,bool),fun(fun(A,real),real)),sum),s(fun(A,bool),S0))),s(fun(A,real),i(s(fun(num,fun(A,real)),i(s(fun(fun(A,cart(real,N)),fun(num,fun(A,real))),U_1),s(fun(A,cart(real,N)),F0))),s(num,I0)))))+ => ! [S0,F0] : s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),F0))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(fun(A,cart(real,N)),fun(num,real)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),fun(num,real))),U_0),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),F0))))) ) ) )).++fof(aVSUMu_CLAUSESu_conjunct0,axiom,(+ ! [Q105493,Q105495,F0] : s(cart(real,Q105495),i(s(fun(fun(Q105493,cart(real,Q105495)),cart(real,Q105495)),i(s(fun(fun(Q105493,bool),fun(fun(Q105493,cart(real,Q105495)),cart(real,Q105495))),vsum),s(fun(Q105493,bool),empty))),s(fun(Q105493,cart(real,Q105495)),F0))) = s(cart(real,Q105495),i(s(fun(num,cart(real,Q105495)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aVSUMu_CLAUSESu_conjunct1,axiom,(+ ! [Q105536,Q105541,X,F0,S0] :+ ( p(s(bool,i(s(fun(fun(Q105536,bool),bool),finite),s(fun(Q105536,bool),S0))))+ => s(cart(real,Q105541),i(s(fun(fun(Q105536,cart(real,Q105541)),cart(real,Q105541)),i(s(fun(fun(Q105536,bool),fun(fun(Q105536,cart(real,Q105541)),cart(real,Q105541))),vsum),s(fun(Q105536,bool),i(s(fun(fun(Q105536,bool),fun(Q105536,bool)),i(s(fun(Q105536,fun(fun(Q105536,bool),fun(Q105536,bool))),insert),s(Q105536,X))),s(fun(Q105536,bool),S0))))),s(fun(Q105536,cart(real,Q105541)),F0))) = s(cart(real,Q105541),i(s(fun(cart(real,Q105541),cart(real,Q105541)),i(s(fun(cart(real,Q105541),fun(cart(real,Q105541),cart(real,Q105541))),i(s(fun(bool,fun(cart(real,Q105541),fun(cart(real,Q105541),cart(real,Q105541)))),cond),s(bool,i(s(fun(fun(Q105536,bool),bool),i(s(fun(Q105536,fun(fun(Q105536,bool),bool)),in),s(Q105536,X))),s(fun(Q105536,bool),S0))))),s(cart(real,Q105541),i(s(fun(fun(Q105536,cart(real,Q105541)),cart(real,Q105541)),i(s(fun(fun(Q105536,bool),fun(fun(Q105536,cart(real,Q105541)),cart(real,Q105541))),vsum),s(fun(Q105536,bool),S0))),s(fun(Q105536,cart(real,Q105541)),F0))))),s(cart(real,Q105541),i(s(fun(cart(real,Q105541),cart(real,Q105541)),i(s(fun(cart(real,Q105541),fun(cart(real,Q105541),cart(real,Q105541))),vectoru_add),s(cart(real,Q105541),i(s(fun(Q105536,cart(real,Q105541)),F0),s(Q105536,X))))),s(cart(real,Q105541),i(s(fun(fun(Q105536,cart(real,Q105541)),cart(real,Q105541)),i(s(fun(fun(Q105536,bool),fun(fun(Q105536,cart(real,Q105541)),cart(real,Q105541))),vsum),s(fun(Q105536,bool),S0))),s(fun(Q105536,cart(real,Q105541)),F0))))))) ) )).++fof(aVSUM,axiom,(+ ! [Q105555,Q105569,F0,S0] :+ ( p(s(bool,i(s(fun(fun(Q105555,bool),bool),finite),s(fun(Q105555,bool),S0))))+ => s(cart(real,Q105569),i(s(fun(fun(Q105555,cart(real,Q105569)),cart(real,Q105569)),i(s(fun(fun(Q105555,bool),fun(fun(Q105555,cart(real,Q105569)),cart(real,Q105569))),vsum),s(fun(Q105555,bool),S0))),s(fun(Q105555,cart(real,Q105569)),F0))) = s(cart(real,Q105569),i(s(fun(fun(Q105555,cart(real,Q105569)),cart(real,Q105569)),i(s(fun(fun(Q105555,bool),fun(fun(Q105555,cart(real,Q105569)),cart(real,Q105569))),i(s(fun(fun(cart(real,Q105569),fun(cart(real,Q105569),cart(real,Q105569))),fun(fun(Q105555,bool),fun(fun(Q105555,cart(real,Q105569)),cart(real,Q105569)))),iterate),s(fun(cart(real,Q105569),fun(cart(real,Q105569),cart(real,Q105569))),vectoru_add))),s(fun(Q105555,bool),S0))),s(fun(Q105555,cart(real,Q105569)),F0))) ) )).++fof(aVSUMu_EQu_0,axiom,(+ ! [A,Q105605,F0,S0] :+ ( ! [X] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ => s(cart(real,Q105605),i(s(fun(A,cart(real,Q105605)),F0),s(A,X))) = s(cart(real,Q105605),i(s(fun(num,cart(real,Q105605)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ => s(cart(real,Q105605),i(s(fun(fun(A,cart(real,Q105605)),cart(real,Q105605)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q105605)),cart(real,Q105605))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,Q105605)),F0))) = s(cart(real,Q105605),i(s(fun(num,cart(real,Q105605)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aVSUMu_0,axiom,(+ ! [Q105615,Q105619,U_0] :+ ( ! [X] : s(cart(real,Q105619),i(s(fun(Q105615,cart(real,Q105619)),U_0),s(Q105615,X))) = s(cart(real,Q105619),i(s(fun(num,cart(real,Q105619)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => s(cart(real,Q105619),i(s(fun(fun(Q105615,cart(real,Q105619)),cart(real,Q105619)),i(s(fun(fun(Q105615,bool),fun(fun(Q105615,cart(real,Q105619)),cart(real,Q105619))),vsum),s(fun(Q105615,bool),s0))),s(fun(Q105615,cart(real,Q105619)),U_0))) = s(cart(real,Q105619),i(s(fun(num,cart(real,Q105619)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aVSUMu_LMUL,axiom,(+ ! [Q105645,Q105652,U_0] :+ ( ! [C0,F0,X] : s(cart(real,Q105652),i(s(fun(Q105645,cart(real,Q105652)),i(s(fun(fun(Q105645,cart(real,Q105652)),fun(Q105645,cart(real,Q105652))),i(s(fun(real,fun(fun(Q105645,cart(real,Q105652)),fun(Q105645,cart(real,Q105652)))),U_0),s(real,C0))),s(fun(Q105645,cart(real,Q105652)),F0))),s(Q105645,X))) = s(cart(real,Q105652),i(s(fun(cart(real,Q105652),cart(real,Q105652)),i(s(fun(real,fun(cart(real,Q105652),cart(real,Q105652))),r_),s(real,C0))),s(cart(real,Q105652),i(s(fun(Q105645,cart(real,Q105652)),F0),s(Q105645,X)))))+ => ! [F0,C0,S0] : s(cart(real,Q105652),i(s(fun(fun(Q105645,cart(real,Q105652)),cart(real,Q105652)),i(s(fun(fun(Q105645,bool),fun(fun(Q105645,cart(real,Q105652)),cart(real,Q105652))),vsum),s(fun(Q105645,bool),S0))),s(fun(Q105645,cart(real,Q105652)),i(s(fun(fun(Q105645,cart(real,Q105652)),fun(Q105645,cart(real,Q105652))),i(s(fun(real,fun(fun(Q105645,cart(real,Q105652)),fun(Q105645,cart(real,Q105652)))),U_0),s(real,C0))),s(fun(Q105645,cart(real,Q105652)),F0))))) = s(cart(real,Q105652),i(s(fun(cart(real,Q105652),cart(real,Q105652)),i(s(fun(real,fun(cart(real,Q105652),cart(real,Q105652))),r_),s(real,C0))),s(cart(real,Q105652),i(s(fun(fun(Q105645,cart(real,Q105652)),cart(real,Q105652)),i(s(fun(fun(Q105645,bool),fun(fun(Q105645,cart(real,Q105652)),cart(real,Q105652))),vsum),s(fun(Q105645,bool),S0))),s(fun(Q105645,cart(real,Q105652)),F0))))) ) )).++fof(aVSUMu_RMUL,axiom,(+ ! [Q105678,Q105681,U_0] :+ ( ! [C0,V,X] : s(cart(real,Q105681),i(s(fun(Q105678,cart(real,Q105681)),i(s(fun(cart(real,Q105681),fun(Q105678,cart(real,Q105681))),i(s(fun(fun(Q105678,real),fun(cart(real,Q105681),fun(Q105678,cart(real,Q105681)))),U_0),s(fun(Q105678,real),C0))),s(cart(real,Q105681),V))),s(Q105678,X))) = s(cart(real,Q105681),i(s(fun(cart(real,Q105681),cart(real,Q105681)),i(s(fun(real,fun(cart(real,Q105681),cart(real,Q105681))),r_),s(real,i(s(fun(Q105678,real),C0),s(Q105678,X))))),s(cart(real,Q105681),V)))+ => ! [C0,S0,V] : s(cart(real,Q105681),i(s(fun(fun(Q105678,cart(real,Q105681)),cart(real,Q105681)),i(s(fun(fun(Q105678,bool),fun(fun(Q105678,cart(real,Q105681)),cart(real,Q105681))),vsum),s(fun(Q105678,bool),S0))),s(fun(Q105678,cart(real,Q105681)),i(s(fun(cart(real,Q105681),fun(Q105678,cart(real,Q105681))),i(s(fun(fun(Q105678,real),fun(cart(real,Q105681),fun(Q105678,cart(real,Q105681)))),U_0),s(fun(Q105678,real),C0))),s(cart(real,Q105681),V))))) = s(cart(real,Q105681),i(s(fun(cart(real,Q105681),cart(real,Q105681)),i(s(fun(real,fun(cart(real,Q105681),cart(real,Q105681))),r_),s(real,i(s(fun(fun(Q105678,real),real),i(s(fun(fun(Q105678,bool),fun(fun(Q105678,real),real)),sum),s(fun(Q105678,bool),S0))),s(fun(Q105678,real),C0))))),s(cart(real,Q105681),V))) ) )).++fof(aVSUMu_ADD,axiom,(+ ! [Q105715,Q105728,U_0] :+ ( ! [F0,G0,X] : s(cart(real,Q105728),i(s(fun(Q105715,cart(real,Q105728)),i(s(fun(fun(Q105715,cart(real,Q105728)),fun(Q105715,cart(real,Q105728))),i(s(fun(fun(Q105715,cart(real,Q105728)),fun(fun(Q105715,cart(real,Q105728)),fun(Q105715,cart(real,Q105728)))),U_0),s(fun(Q105715,cart(real,Q105728)),F0))),s(fun(Q105715,cart(real,Q105728)),G0))),s(Q105715,X))) = s(cart(real,Q105728),i(s(fun(cart(real,Q105728),cart(real,Q105728)),i(s(fun(cart(real,Q105728),fun(cart(real,Q105728),cart(real,Q105728))),vectoru_add),s(cart(real,Q105728),i(s(fun(Q105715,cart(real,Q105728)),F0),s(Q105715,X))))),s(cart(real,Q105728),i(s(fun(Q105715,cart(real,Q105728)),G0),s(Q105715,X)))))+ => ! [F0,G0,S0] :+ ( p(s(bool,i(s(fun(fun(Q105715,bool),bool),finite),s(fun(Q105715,bool),S0))))+ => s(cart(real,Q105728),i(s(fun(fun(Q105715,cart(real,Q105728)),cart(real,Q105728)),i(s(fun(fun(Q105715,bool),fun(fun(Q105715,cart(real,Q105728)),cart(real,Q105728))),vsum),s(fun(Q105715,bool),S0))),s(fun(Q105715,cart(real,Q105728)),i(s(fun(fun(Q105715,cart(real,Q105728)),fun(Q105715,cart(real,Q105728))),i(s(fun(fun(Q105715,cart(real,Q105728)),fun(fun(Q105715,cart(real,Q105728)),fun(Q105715,cart(real,Q105728)))),U_0),s(fun(Q105715,cart(real,Q105728)),F0))),s(fun(Q105715,cart(real,Q105728)),G0))))) = s(cart(real,Q105728),i(s(fun(cart(real,Q105728),cart(real,Q105728)),i(s(fun(cart(real,Q105728),fun(cart(real,Q105728),cart(real,Q105728))),vectoru_add),s(cart(real,Q105728),i(s(fun(fun(Q105715,cart(real,Q105728)),cart(real,Q105728)),i(s(fun(fun(Q105715,bool),fun(fun(Q105715,cart(real,Q105728)),cart(real,Q105728))),vsum),s(fun(Q105715,bool),S0))),s(fun(Q105715,cart(real,Q105728)),F0))))),s(cart(real,Q105728),i(s(fun(fun(Q105715,cart(real,Q105728)),cart(real,Q105728)),i(s(fun(fun(Q105715,bool),fun(fun(Q105715,cart(real,Q105728)),cart(real,Q105728))),vsum),s(fun(Q105715,bool),S0))),s(fun(Q105715,cart(real,Q105728)),G0))))) ) ) )).++fof(aVSUMu_SUB,axiom,(+ ! [Q105761,Q105774,U_0] :+ ( ! [F0,G0,X] : s(cart(real,Q105774),i(s(fun(Q105761,cart(real,Q105774)),i(s(fun(fun(Q105761,cart(real,Q105774)),fun(Q105761,cart(real,Q105774))),i(s(fun(fun(Q105761,cart(real,Q105774)),fun(fun(Q105761,cart(real,Q105774)),fun(Q105761,cart(real,Q105774)))),U_0),s(fun(Q105761,cart(real,Q105774)),F0))),s(fun(Q105761,cart(real,Q105774)),G0))),s(Q105761,X))) = s(cart(real,Q105774),i(s(fun(cart(real,Q105774),cart(real,Q105774)),i(s(fun(cart(real,Q105774),fun(cart(real,Q105774),cart(real,Q105774))),vectoru_sub),s(cart(real,Q105774),i(s(fun(Q105761,cart(real,Q105774)),F0),s(Q105761,X))))),s(cart(real,Q105774),i(s(fun(Q105761,cart(real,Q105774)),G0),s(Q105761,X)))))+ => ! [F0,G0,S0] :+ ( p(s(bool,i(s(fun(fun(Q105761,bool),bool),finite),s(fun(Q105761,bool),S0))))+ => s(cart(real,Q105774),i(s(fun(fun(Q105761,cart(real,Q105774)),cart(real,Q105774)),i(s(fun(fun(Q105761,bool),fun(fun(Q105761,cart(real,Q105774)),cart(real,Q105774))),vsum),s(fun(Q105761,bool),S0))),s(fun(Q105761,cart(real,Q105774)),i(s(fun(fun(Q105761,cart(real,Q105774)),fun(Q105761,cart(real,Q105774))),i(s(fun(fun(Q105761,cart(real,Q105774)),fun(fun(Q105761,cart(real,Q105774)),fun(Q105761,cart(real,Q105774)))),U_0),s(fun(Q105761,cart(real,Q105774)),F0))),s(fun(Q105761,cart(real,Q105774)),G0))))) = s(cart(real,Q105774),i(s(fun(cart(real,Q105774),cart(real,Q105774)),i(s(fun(cart(real,Q105774),fun(cart(real,Q105774),cart(real,Q105774))),vectoru_sub),s(cart(real,Q105774),i(s(fun(fun(Q105761,cart(real,Q105774)),cart(real,Q105774)),i(s(fun(fun(Q105761,bool),fun(fun(Q105761,cart(real,Q105774)),cart(real,Q105774))),vsum),s(fun(Q105761,bool),S0))),s(fun(Q105761,cart(real,Q105774)),F0))))),s(cart(real,Q105774),i(s(fun(fun(Q105761,cart(real,Q105774)),cart(real,Q105774)),i(s(fun(fun(Q105761,bool),fun(fun(Q105761,cart(real,Q105774)),cart(real,Q105774))),vsum),s(fun(Q105761,bool),S0))),s(fun(Q105761,cart(real,Q105774)),G0))))) ) ) )).++fof(aVSUMu_CONST,axiom,(+ ! [Q105798,Q105801,U_0] :+ ( ! [C0,N0] : s(cart(real,Q105801),i(s(fun(Q105798,cart(real,Q105801)),i(s(fun(cart(real,Q105801),fun(Q105798,cart(real,Q105801))),U_0),s(cart(real,Q105801),C0))),s(Q105798,N0))) = s(cart(real,Q105801),C0)+ => ! [C0,S0] :+ ( p(s(bool,i(s(fun(fun(Q105798,bool),bool),finite),s(fun(Q105798,bool),S0))))+ => s(cart(real,Q105801),i(s(fun(fun(Q105798,cart(real,Q105801)),cart(real,Q105801)),i(s(fun(fun(Q105798,bool),fun(fun(Q105798,cart(real,Q105801)),cart(real,Q105801))),vsum),s(fun(Q105798,bool),S0))),s(fun(Q105798,cart(real,Q105801)),i(s(fun(cart(real,Q105801),fun(Q105798,cart(real,Q105801))),U_0),s(cart(real,Q105801),C0))))) = s(cart(real,Q105801),i(s(fun(cart(real,Q105801),cart(real,Q105801)),i(s(fun(real,fun(cart(real,Q105801),cart(real,Q105801))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(Q105798,bool),num),card),s(fun(Q105798,bool),S0))))))),s(cart(real,Q105801),C0))) ) ) )).++fof(aVSUMu_COMPONENT,axiom,(+ ! [A,N,U_0] :+ ( ! [F0,I0,X] : s(real,i(s(fun(A,real),i(s(fun(num,fun(A,real)),i(s(fun(fun(A,cart(real,N)),fun(num,fun(A,real))),U_0),s(fun(A,cart(real,N)),F0))),s(num,I0))),s(A,X))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,X))))),s(num,I0)))+ => ! [S0,F0,I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),F0))))),s(num,I0))) = s(real,i(s(fun(fun(A,real),real),i(s(fun(fun(A,bool),fun(fun(A,real),real)),sum),s(fun(A,bool),S0))),s(fun(A,real),i(s(fun(num,fun(A,real)),i(s(fun(fun(A,cart(real,N)),fun(num,fun(A,real))),U_0),s(fun(A,cart(real,N)),F0))),s(num,I0))))) ) ) )).++fof(aVSUMu_IMAGE,axiom,(+ ! [Q105914,Q105918,Q105892,F0,G0,S0] :+ ( ( p(s(bool,i(s(fun(fun(Q105918,bool),bool),finite),s(fun(Q105918,bool),S0))))+ & ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(Q105918,bool),bool),i(s(fun(Q105918,fun(fun(Q105918,bool),bool)),in),s(Q105918,X))),s(fun(Q105918,bool),S0))))+ & p(s(bool,i(s(fun(fun(Q105918,bool),bool),i(s(fun(Q105918,fun(fun(Q105918,bool),bool)),in),s(Q105918,Y))),s(fun(Q105918,bool),S0))))+ & s(Q105892,i(s(fun(Q105918,Q105892),F0),s(Q105918,X))) = s(Q105892,i(s(fun(Q105918,Q105892),F0),s(Q105918,Y))) )+ => s(Q105918,X) = s(Q105918,Y) ) )+ => s(cart(real,Q105914),i(s(fun(fun(Q105892,cart(real,Q105914)),cart(real,Q105914)),i(s(fun(fun(Q105892,bool),fun(fun(Q105892,cart(real,Q105914)),cart(real,Q105914))),vsum),s(fun(Q105892,bool),i(s(fun(fun(Q105918,bool),fun(Q105892,bool)),i(s(fun(fun(Q105918,Q105892),fun(fun(Q105918,bool),fun(Q105892,bool))),image),s(fun(Q105918,Q105892),F0))),s(fun(Q105918,bool),S0))))),s(fun(Q105892,cart(real,Q105914)),G0))) = s(cart(real,Q105914),i(s(fun(fun(Q105918,cart(real,Q105914)),cart(real,Q105914)),i(s(fun(fun(Q105918,bool),fun(fun(Q105918,cart(real,Q105914)),cart(real,Q105914))),vsum),s(fun(Q105918,bool),S0))),s(fun(Q105918,cart(real,Q105914)),i(s(fun(fun(Q105918,Q105892),fun(Q105918,cart(real,Q105914))),i(s(fun(fun(Q105892,cart(real,Q105914)),fun(fun(Q105918,Q105892),fun(Q105918,cart(real,Q105914)))),o),s(fun(Q105892,cart(real,Q105914)),G0))),s(fun(Q105918,Q105892),F0))))) ) )).++fof(aVSUMu_UNION,axiom,(+ ! [Q105942,Q105967,F0,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(Q105942,bool),bool),finite),s(fun(Q105942,bool),S0))))+ & p(s(bool,i(s(fun(fun(Q105942,bool),bool),finite),s(fun(Q105942,bool),T0))))+ & p(s(bool,i(s(fun(fun(Q105942,bool),bool),i(s(fun(fun(Q105942,bool),fun(fun(Q105942,bool),bool)),disjoint),s(fun(Q105942,bool),S0))),s(fun(Q105942,bool),T0)))) )+ => s(cart(real,Q105967),i(s(fun(fun(Q105942,cart(real,Q105967)),cart(real,Q105967)),i(s(fun(fun(Q105942,bool),fun(fun(Q105942,cart(real,Q105967)),cart(real,Q105967))),vsum),s(fun(Q105942,bool),i(s(fun(fun(Q105942,bool),fun(Q105942,bool)),i(s(fun(fun(Q105942,bool),fun(fun(Q105942,bool),fun(Q105942,bool))),union),s(fun(Q105942,bool),S0))),s(fun(Q105942,bool),T0))))),s(fun(Q105942,cart(real,Q105967)),F0))) = s(cart(real,Q105967),i(s(fun(cart(real,Q105967),cart(real,Q105967)),i(s(fun(cart(real,Q105967),fun(cart(real,Q105967),cart(real,Q105967))),vectoru_add),s(cart(real,Q105967),i(s(fun(fun(Q105942,cart(real,Q105967)),cart(real,Q105967)),i(s(fun(fun(Q105942,bool),fun(fun(Q105942,cart(real,Q105967)),cart(real,Q105967))),vsum),s(fun(Q105942,bool),S0))),s(fun(Q105942,cart(real,Q105967)),F0))))),s(cart(real,Q105967),i(s(fun(fun(Q105942,cart(real,Q105967)),cart(real,Q105967)),i(s(fun(fun(Q105942,bool),fun(fun(Q105942,cart(real,Q105967)),cart(real,Q105967))),vsum),s(fun(Q105942,bool),T0))),s(fun(Q105942,cart(real,Q105967)),F0))))) ) )).++fof(aVSUMu_DIFF,axiom,(+ ! [Q105987,Q106012,F0,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(Q105987,bool),bool),finite),s(fun(Q105987,bool),S0))))+ & p(s(bool,i(s(fun(fun(Q105987,bool),bool),i(s(fun(fun(Q105987,bool),fun(fun(Q105987,bool),bool)),subset),s(fun(Q105987,bool),T0))),s(fun(Q105987,bool),S0)))) )+ => s(cart(real,Q106012),i(s(fun(fun(Q105987,cart(real,Q106012)),cart(real,Q106012)),i(s(fun(fun(Q105987,bool),fun(fun(Q105987,cart(real,Q106012)),cart(real,Q106012))),vsum),s(fun(Q105987,bool),i(s(fun(fun(Q105987,bool),fun(Q105987,bool)),i(s(fun(fun(Q105987,bool),fun(fun(Q105987,bool),fun(Q105987,bool))),diff),s(fun(Q105987,bool),S0))),s(fun(Q105987,bool),T0))))),s(fun(Q105987,cart(real,Q106012)),F0))) = s(cart(real,Q106012),i(s(fun(cart(real,Q106012),cart(real,Q106012)),i(s(fun(cart(real,Q106012),fun(cart(real,Q106012),cart(real,Q106012))),vectoru_sub),s(cart(real,Q106012),i(s(fun(fun(Q105987,cart(real,Q106012)),cart(real,Q106012)),i(s(fun(fun(Q105987,bool),fun(fun(Q105987,cart(real,Q106012)),cart(real,Q106012))),vsum),s(fun(Q105987,bool),S0))),s(fun(Q105987,cart(real,Q106012)),F0))))),s(cart(real,Q106012),i(s(fun(fun(Q105987,cart(real,Q106012)),cart(real,Q106012)),i(s(fun(fun(Q105987,bool),fun(fun(Q105987,cart(real,Q106012)),cart(real,Q106012))),vsum),s(fun(Q105987,bool),T0))),s(fun(Q105987,cart(real,Q106012)),F0))))) ) )).++fof(aVSUMu_DELETE,axiom,(+ ! [Q106054,Q106053,F0,S0,A5] :+ ( ( p(s(bool,i(s(fun(fun(Q106053,bool),bool),finite),s(fun(Q106053,bool),S0))))+ & p(s(bool,i(s(fun(fun(Q106053,bool),bool),i(s(fun(Q106053,fun(fun(Q106053,bool),bool)),in),s(Q106053,A5))),s(fun(Q106053,bool),S0)))) )+ => s(cart(real,Q106054),i(s(fun(fun(Q106053,cart(real,Q106054)),cart(real,Q106054)),i(s(fun(fun(Q106053,bool),fun(fun(Q106053,cart(real,Q106054)),cart(real,Q106054))),vsum),s(fun(Q106053,bool),i(s(fun(Q106053,fun(Q106053,bool)),i(s(fun(fun(Q106053,bool),fun(Q106053,fun(Q106053,bool))),delete),s(fun(Q106053,bool),S0))),s(Q106053,A5))))),s(fun(Q106053,cart(real,Q106054)),F0))) = s(cart(real,Q106054),i(s(fun(cart(real,Q106054),cart(real,Q106054)),i(s(fun(cart(real,Q106054),fun(cart(real,Q106054),cart(real,Q106054))),vectoru_sub),s(cart(real,Q106054),i(s(fun(fun(Q106053,cart(real,Q106054)),cart(real,Q106054)),i(s(fun(fun(Q106053,bool),fun(fun(Q106053,cart(real,Q106054)),cart(real,Q106054))),vsum),s(fun(Q106053,bool),S0))),s(fun(Q106053,cart(real,Q106054)),F0))))),s(cart(real,Q106054),i(s(fun(Q106053,cart(real,Q106054)),F0),s(Q106053,A5))))) ) )).++fof(aVSUMu_INCLu_EXCL,axiom,(+ ! [A,N,S0,T0,F0] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),S0))))+ & p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),T0)))) )+ => s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),F0))))),s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),T0))),s(fun(A,cart(real,N)),F0))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),i(s(fun(fun(A,bool),fun(fun(A,bool),fun(A,bool))),union),s(fun(A,bool),S0))),s(fun(A,bool),T0))))),s(fun(A,cart(real,N)),F0))))),s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),i(s(fun(fun(A,bool),fun(fun(A,bool),fun(A,bool))),inter),s(fun(A,bool),S0))),s(fun(A,bool),T0))))),s(fun(A,cart(real,N)),F0))))) ) )).++fof(aVSUMu_NEG,axiom,(+ ! [Q106132,Q106140,U_0] :+ ( ! [F0,X] : s(cart(real,Q106140),i(s(fun(Q106132,cart(real,Q106140)),i(s(fun(fun(Q106132,cart(real,Q106140)),fun(Q106132,cart(real,Q106140))),U_0),s(fun(Q106132,cart(real,Q106140)),F0))),s(Q106132,X))) = s(cart(real,Q106140),i(s(fun(cart(real,Q106140),cart(real,Q106140)),vectoru_neg),s(cart(real,Q106140),i(s(fun(Q106132,cart(real,Q106140)),F0),s(Q106132,X)))))+ => ! [F0,S0] : s(cart(real,Q106140),i(s(fun(fun(Q106132,cart(real,Q106140)),cart(real,Q106140)),i(s(fun(fun(Q106132,bool),fun(fun(Q106132,cart(real,Q106140)),cart(real,Q106140))),vsum),s(fun(Q106132,bool),S0))),s(fun(Q106132,cart(real,Q106140)),i(s(fun(fun(Q106132,cart(real,Q106140)),fun(Q106132,cart(real,Q106140))),U_0),s(fun(Q106132,cart(real,Q106140)),F0))))) = s(cart(real,Q106140),i(s(fun(cart(real,Q106140),cart(real,Q106140)),vectoru_neg),s(cart(real,Q106140),i(s(fun(fun(Q106132,cart(real,Q106140)),cart(real,Q106140)),i(s(fun(fun(Q106132,bool),fun(fun(Q106132,cart(real,Q106140)),cart(real,Q106140))),vsum),s(fun(Q106132,bool),S0))),s(fun(Q106132,cart(real,Q106140)),F0))))) ) )).++fof(aVSUMu_EQ,axiom,(+ ! [Q106171,Q106182,F0,G0,S0] :+ ( ! [X] :+ ( p(s(bool,i(s(fun(fun(Q106171,bool),bool),i(s(fun(Q106171,fun(fun(Q106171,bool),bool)),in),s(Q106171,X))),s(fun(Q106171,bool),S0))))+ => s(cart(real,Q106182),i(s(fun(Q106171,cart(real,Q106182)),F0),s(Q106171,X))) = s(cart(real,Q106182),i(s(fun(Q106171,cart(real,Q106182)),G0),s(Q106171,X))) )+ => s(cart(real,Q106182),i(s(fun(fun(Q106171,cart(real,Q106182)),cart(real,Q106182)),i(s(fun(fun(Q106171,bool),fun(fun(Q106171,cart(real,Q106182)),cart(real,Q106182))),vsum),s(fun(Q106171,bool),S0))),s(fun(Q106171,cart(real,Q106182)),F0))) = s(cart(real,Q106182),i(s(fun(fun(Q106171,cart(real,Q106182)),cart(real,Q106182)),i(s(fun(fun(Q106171,bool),fun(fun(Q106171,cart(real,Q106182)),cart(real,Q106182))),vsum),s(fun(Q106171,bool),S0))),s(fun(Q106171,cart(real,Q106182)),G0))) ) )).++fof(aVSUMu_SUPERSET,axiom,(+ ! [A,N,F0,U,V] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(fun(A,bool),fun(fun(A,bool),bool)),subset),s(fun(A,bool),U))),s(fun(A,bool),V))))+ & ! [X] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),V))))+ & ~ p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),U)))) )+ => s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ => s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),V))),s(fun(A,cart(real,N)),F0))) = s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),U))),s(fun(A,cart(real,N)),F0))) ) )).++fof(aVSUMu_EQu_SUPERSET,axiom,(+ ! [A,Q106306,F0,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),T0))))+ & p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(fun(A,bool),fun(fun(A,bool),bool)),subset),s(fun(A,bool),T0))),s(fun(A,bool),S0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),T0))))+ => s(cart(real,Q106306),i(s(fun(A,cart(real,Q106306)),F0),s(A,X))) = s(cart(real,Q106306),i(s(fun(A,cart(real,Q106306)),g),s(A,X))) )+ & ! [X] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ & ~ p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),T0)))) )+ => s(cart(real,Q106306),i(s(fun(A,cart(real,Q106306)),F0),s(A,X))) = s(cart(real,Q106306),i(s(fun(num,cart(real,Q106306)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ => s(cart(real,Q106306),i(s(fun(fun(A,cart(real,Q106306)),cart(real,Q106306)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q106306)),cart(real,Q106306))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,Q106306)),F0))) = s(cart(real,Q106306),i(s(fun(fun(A,cart(real,Q106306)),cart(real,Q106306)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q106306)),cart(real,Q106306))),vsum),s(fun(A,bool),T0))),s(fun(A,cart(real,Q106306)),g))) ) )).++fof(aVSUMu_UNIONu_RZERO,axiom,(+ ! [A,N,F0,U,V] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),U))))+ & ! [X] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),V))))+ & ~ p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),U)))) )+ => s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ => s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),i(s(fun(fun(A,bool),fun(fun(A,bool),fun(A,bool))),union),s(fun(A,bool),U))),s(fun(A,bool),V))))),s(fun(A,cart(real,N)),F0))) = s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),U))),s(fun(A,cart(real,N)),F0))) ) )).++fof(aVSUMu_UNIONu_LZERO,axiom,(+ ! [A,N,F0,U,V] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),V))))+ & ! [X] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),U))))+ & ~ p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),V)))) )+ => s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ => s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),i(s(fun(fun(A,bool),fun(fun(A,bool),fun(A,bool))),union),s(fun(A,bool),U))),s(fun(A,bool),V))))),s(fun(A,cart(real,N)),F0))) = s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),V))),s(fun(A,cart(real,N)),F0))) ) )).++fof(aVSUMu_RESTRICT,axiom,(+ ! [Q106444,Q106450,U_0] :+ ( ! [S0,F0,X] : s(cart(real,Q106450),i(s(fun(Q106444,cart(real,Q106450)),i(s(fun(fun(Q106444,cart(real,Q106450)),fun(Q106444,cart(real,Q106450))),i(s(fun(fun(Q106444,bool),fun(fun(Q106444,cart(real,Q106450)),fun(Q106444,cart(real,Q106450)))),U_0),s(fun(Q106444,bool),S0))),s(fun(Q106444,cart(real,Q106450)),F0))),s(Q106444,X))) = s(cart(real,Q106450),i(s(fun(cart(real,Q106450),cart(real,Q106450)),i(s(fun(cart(real,Q106450),fun(cart(real,Q106450),cart(real,Q106450))),i(s(fun(bool,fun(cart(real,Q106450),fun(cart(real,Q106450),cart(real,Q106450)))),cond),s(bool,i(s(fun(fun(Q106444,bool),bool),i(s(fun(Q106444,fun(fun(Q106444,bool),bool)),in),s(Q106444,X))),s(fun(Q106444,bool),S0))))),s(cart(real,Q106450),i(s(fun(Q106444,cart(real,Q106450)),F0),s(Q106444,X))))),s(cart(real,Q106450),i(s(fun(num,cart(real,Q106450)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))+ => ! [F0,S0] :+ ( p(s(bool,i(s(fun(fun(Q106444,bool),bool),finite),s(fun(Q106444,bool),S0))))+ => s(cart(real,Q106450),i(s(fun(fun(Q106444,cart(real,Q106450)),cart(real,Q106450)),i(s(fun(fun(Q106444,bool),fun(fun(Q106444,cart(real,Q106450)),cart(real,Q106450))),vsum),s(fun(Q106444,bool),S0))),s(fun(Q106444,cart(real,Q106450)),i(s(fun(fun(Q106444,cart(real,Q106450)),fun(Q106444,cart(real,Q106450))),i(s(fun(fun(Q106444,bool),fun(fun(Q106444,cart(real,Q106450)),fun(Q106444,cart(real,Q106450)))),U_0),s(fun(Q106444,bool),S0))),s(fun(Q106444,cart(real,Q106450)),F0))))) = s(cart(real,Q106450),i(s(fun(fun(Q106444,cart(real,Q106450)),cart(real,Q106450)),i(s(fun(fun(Q106444,bool),fun(fun(Q106444,cart(real,Q106450)),cart(real,Q106450))),vsum),s(fun(Q106444,bool),S0))),s(fun(Q106444,cart(real,Q106450)),F0))) ) ) )).++fof(aVSUMu_RESTRICTu_SET,axiom,(+ ! [Q106500,Q106502,U_1] :+ ( ! [P0,F0,X] : s(cart(real,Q106502),i(s(fun(Q106500,cart(real,Q106502)),i(s(fun(fun(Q106500,cart(real,Q106502)),fun(Q106500,cart(real,Q106502))),i(s(fun(fun(Q106500,bool),fun(fun(Q106500,cart(real,Q106502)),fun(Q106500,cart(real,Q106502)))),U_1),s(fun(Q106500,bool),P0))),s(fun(Q106500,cart(real,Q106502)),F0))),s(Q106500,X))) = s(cart(real,Q106502),i(s(fun(cart(real,Q106502),cart(real,Q106502)),i(s(fun(cart(real,Q106502),fun(cart(real,Q106502),cart(real,Q106502))),i(s(fun(bool,fun(cart(real,Q106502),fun(cart(real,Q106502),cart(real,Q106502)))),cond),s(bool,i(s(fun(Q106500,bool),P0),s(Q106500,X))))),s(cart(real,Q106502),i(s(fun(Q106500,cart(real,Q106502)),F0),s(Q106500,X))))),s(cart(real,Q106502),i(s(fun(num,cart(real,Q106502)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))+ => ! [U_0] :+ ( ! [S0,P0,GENR_PVARR_278] :+ ( p(s(bool,i(s(fun(Q106500,bool),i(s(fun(fun(Q106500,bool),fun(Q106500,bool)),i(s(fun(fun(Q106500,bool),fun(fun(Q106500,bool),fun(Q106500,bool))),U_0),s(fun(Q106500,bool),S0))),s(fun(Q106500,bool),P0))),s(Q106500,GENR_PVARR_278))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(Q106500,bool),bool),i(s(fun(Q106500,fun(fun(Q106500,bool),bool)),in),s(Q106500,X))),s(fun(Q106500,bool),S0))))+ & p(s(bool,i(s(fun(Q106500,bool),P0),s(Q106500,X)))) ) )+ & p(s(bool,i(s(fun(Q106500,bool),i(s(fun(bool,fun(Q106500,bool)),i(s(fun(Q106500,fun(bool,fun(Q106500,bool))),setspec),s(Q106500,GENR_PVARR_278))),s(bool,V))),s(Q106500,X)))) ) )+ => ! [P0,S0,F0] : s(cart(real,Q106502),i(s(fun(fun(Q106500,cart(real,Q106502)),cart(real,Q106502)),i(s(fun(fun(Q106500,bool),fun(fun(Q106500,cart(real,Q106502)),cart(real,Q106502))),vsum),s(fun(Q106500,bool),i(s(fun(fun(Q106500,bool),fun(Q106500,bool)),gspec),s(fun(Q106500,bool),i(s(fun(fun(Q106500,bool),fun(Q106500,bool)),i(s(fun(fun(Q106500,bool),fun(fun(Q106500,bool),fun(Q106500,bool))),U_0),s(fun(Q106500,bool),S0))),s(fun(Q106500,bool),P0))))))),s(fun(Q106500,cart(real,Q106502)),F0))) = s(cart(real,Q106502),i(s(fun(fun(Q106500,cart(real,Q106502)),cart(real,Q106502)),i(s(fun(fun(Q106500,bool),fun(fun(Q106500,cart(real,Q106502)),cart(real,Q106502))),vsum),s(fun(Q106500,bool),S0))),s(fun(Q106500,cart(real,Q106502)),i(s(fun(fun(Q106500,cart(real,Q106502)),fun(Q106500,cart(real,Q106502))),i(s(fun(fun(Q106500,bool),fun(fun(Q106500,cart(real,Q106502)),fun(Q106500,cart(real,Q106502)))),U_1),s(fun(Q106500,bool),P0))),s(fun(Q106500,cart(real,Q106502)),F0))))) ) ) )).++fof(aVSUMu_CASES,axiom,(+ ! [A,N,U_2] :+ ( ! [P0,X] :+ ( p(s(bool,i(s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),U_2),s(fun(A,bool),P0))),s(A,X))))+ <=> ~ p(s(bool,i(s(fun(A,bool),P0),s(A,X)))) )+ => ! [U_1] :+ ( ! [S0,P0,GENR_PVARR_279] :+ ( p(s(bool,i(s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),i(s(fun(fun(A,bool),fun(fun(A,bool),fun(A,bool))),U_1),s(fun(A,bool),S0))),s(fun(A,bool),P0))),s(A,GENR_PVARR_279))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ & p(s(bool,i(s(fun(A,bool),P0),s(A,X)))) ) )+ & p(s(bool,i(s(fun(A,bool),i(s(fun(bool,fun(A,bool)),i(s(fun(A,fun(bool,fun(A,bool))),setspec),s(A,GENR_PVARR_279))),s(bool,V))),s(A,X)))) ) )+ => ! [U_0] :+ ( ! [P0,F0,G0,X] : s(cart(real,N),i(s(fun(A,cart(real,N)),i(s(fun(fun(A,cart(real,N)),fun(A,cart(real,N))),i(s(fun(fun(A,cart(real,N)),fun(fun(A,cart(real,N)),fun(A,cart(real,N)))),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),fun(fun(A,cart(real,N)),fun(A,cart(real,N))))),U_0),s(fun(A,bool),P0))),s(fun(A,cart(real,N)),F0))),s(fun(A,cart(real,N)),G0))),s(A,X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),i(s(fun(bool,fun(cart(real,N),fun(cart(real,N),cart(real,N)))),cond),s(bool,i(s(fun(A,bool),P0),s(A,X))))),s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,X))))),s(cart(real,N),i(s(fun(A,cart(real,N)),G0),s(A,X)))))+ => ! [S0,P0,F0,G0] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),S0))))+ => s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),i(s(fun(fun(A,cart(real,N)),fun(A,cart(real,N))),i(s(fun(fun(A,cart(real,N)),fun(fun(A,cart(real,N)),fun(A,cart(real,N)))),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),fun(fun(A,cart(real,N)),fun(A,cart(real,N))))),U_0),s(fun(A,bool),P0))),s(fun(A,cart(real,N)),F0))),s(fun(A,cart(real,N)),G0))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),gspec),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),i(s(fun(fun(A,bool),fun(fun(A,bool),fun(A,bool))),U_1),s(fun(A,bool),S0))),s(fun(A,bool),P0))))))),s(fun(A,cart(real,N)),F0))))),s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),gspec),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),i(s(fun(fun(A,bool),fun(fun(A,bool),fun(A,bool))),U_1),s(fun(A,bool),S0))),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),U_2),s(fun(A,bool),P0))))))))),s(fun(A,cart(real,N)),G0))))) ) ) ) ) )).++fof(aVSUMu_SING,axiom,(+ ! [Q106605,Q106610,F0,X] : s(cart(real,Q106605),i(s(fun(fun(Q106610,cart(real,Q106605)),cart(real,Q106605)),i(s(fun(fun(Q106610,bool),fun(fun(Q106610,cart(real,Q106605)),cart(real,Q106605))),vsum),s(fun(Q106610,bool),i(s(fun(fun(Q106610,bool),fun(Q106610,bool)),i(s(fun(Q106610,fun(fun(Q106610,bool),fun(Q106610,bool))),insert),s(Q106610,X))),s(fun(Q106610,bool),empty))))),s(fun(Q106610,cart(real,Q106605)),F0))) = s(cart(real,Q106605),i(s(fun(Q106610,cart(real,Q106605)),F0),s(Q106610,X))) )).++fof(aVSUMu_NORM,axiom,(+ ! [Q106640,Q106632,U_0] :+ ( ! [F0,X] : s(real,i(s(fun(Q106640,real),i(s(fun(fun(Q106640,cart(real,Q106632)),fun(Q106640,real)),U_0),s(fun(Q106640,cart(real,Q106632)),F0))),s(Q106640,X))) = s(real,i(s(fun(cart(real,Q106632),real),vectoru_norm),s(cart(real,Q106632),i(s(fun(Q106640,cart(real,Q106632)),F0),s(Q106640,X)))))+ => ! [F0,S0] :+ ( p(s(bool,i(s(fun(fun(Q106640,bool),bool),finite),s(fun(Q106640,bool),S0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q106632),real),vectoru_norm),s(cart(real,Q106632),i(s(fun(fun(Q106640,cart(real,Q106632)),cart(real,Q106632)),i(s(fun(fun(Q106640,bool),fun(fun(Q106640,cart(real,Q106632)),cart(real,Q106632))),vsum),s(fun(Q106640,bool),S0))),s(fun(Q106640,cart(real,Q106632)),F0))))))),s(real,i(s(fun(fun(Q106640,real),real),i(s(fun(fun(Q106640,bool),fun(fun(Q106640,real),real)),sum),s(fun(Q106640,bool),S0))),s(fun(Q106640,real),i(s(fun(fun(Q106640,cart(real,Q106632)),fun(Q106640,real)),U_0),s(fun(Q106640,cart(real,Q106632)),F0)))))))) ) ) )).++fof(aVSUMu_NORMu_LE,axiom,(+ ! [N,A,S0,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),S0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,X))))))),s(real,i(s(fun(A,real),G0),s(A,X)))))) ) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),F0))))))),s(real,i(s(fun(fun(A,real),real),i(s(fun(fun(A,bool),fun(fun(A,real),real)),sum),s(fun(A,bool),S0))),s(fun(A,real),G0)))))) ) )).++fof(aVSUMu_NORMu_TRIANGLE,axiom,(+ ! [Q106736,Q106745,U_0] :+ ( ! [F0,A5] : s(real,i(s(fun(Q106736,real),i(s(fun(fun(Q106736,cart(real,Q106745)),fun(Q106736,real)),U_0),s(fun(Q106736,cart(real,Q106745)),F0))),s(Q106736,A5))) = s(real,i(s(fun(cart(real,Q106745),real),vectoru_norm),s(cart(real,Q106745),i(s(fun(Q106736,cart(real,Q106745)),F0),s(Q106736,A5)))))+ => ! [S0,F0,B0] :+ ( ( p(s(bool,i(s(fun(fun(Q106736,bool),bool),finite),s(fun(Q106736,bool),S0))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(Q106736,real),real),i(s(fun(fun(Q106736,bool),fun(fun(Q106736,real),real)),sum),s(fun(Q106736,bool),S0))),s(fun(Q106736,real),i(s(fun(fun(Q106736,cart(real,Q106745)),fun(Q106736,real)),U_0),s(fun(Q106736,cart(real,Q106745)),F0))))))),s(real,B0)))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q106745),real),vectoru_norm),s(cart(real,Q106745),i(s(fun(fun(Q106736,cart(real,Q106745)),cart(real,Q106745)),i(s(fun(fun(Q106736,bool),fun(fun(Q106736,cart(real,Q106745)),cart(real,Q106745))),vsum),s(fun(Q106736,bool),S0))),s(fun(Q106736,cart(real,Q106745)),F0))))))),s(real,B0)))) ) ) )).++fof(aVSUMu_NORMu_BOUND,axiom,(+ ! [Q106792,A,S0,F0,B0] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),S0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q106792),real),vectoru_norm),s(cart(real,Q106792),i(s(fun(A,cart(real,Q106792)),F0),s(A,X))))))),s(real,B0)))) ) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q106792),real),vectoru_norm),s(cart(real,Q106792),i(s(fun(fun(A,cart(real,Q106792)),cart(real,Q106792)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q106792)),cart(real,Q106792))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,Q106792)),F0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(A,bool),num),card),s(fun(A,bool),S0))))))),s(real,B0)))))) ) )).++fof(aVSUMu_CLAUSESu_NUMSEGu_conjunct0,axiom,(+ ! [Q106879,M0] :+ ? [V] :+ ( ( p(s(bool,V))+ <=> s(num,M0) = s(num,i(s(fun(num,num),numeral),s(num,u_0))) )+ & s(cart(real,Q106879),i(s(fun(fun(num,cart(real,Q106879)),cart(real,Q106879)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q106879)),cart(real,Q106879))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(num,cart(real,Q106879)),f))) = s(cart(real,Q106879),i(s(fun(cart(real,Q106879),cart(real,Q106879)),i(s(fun(cart(real,Q106879),fun(cart(real,Q106879),cart(real,Q106879))),i(s(fun(bool,fun(cart(real,Q106879),fun(cart(real,Q106879),cart(real,Q106879)))),cond),s(bool,V))),s(cart(real,Q106879),i(s(fun(num,cart(real,Q106879)),f),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,Q106879),i(s(fun(num,cart(real,Q106879)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ) )).++fof(aVSUMu_CLAUSESu_NUMSEGu_conjunct1,axiom,(+ ! [Q106879,M0,N0] : s(cart(real,Q106879),i(s(fun(fun(num,cart(real,Q106879)),cart(real,Q106879)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q106879)),cart(real,Q106879))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,i(s(fun(num,num),suc),s(num,N0))))))),s(fun(num,cart(real,Q106879)),f))) = s(cart(real,Q106879),i(s(fun(cart(real,Q106879),cart(real,Q106879)),i(s(fun(cart(real,Q106879),fun(cart(real,Q106879),cart(real,Q106879))),i(s(fun(bool,fun(cart(real,Q106879),fun(cart(real,Q106879),cart(real,Q106879)))),cond),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,i(s(fun(num,num),suc),s(num,N0))))))),s(cart(real,Q106879),i(s(fun(cart(real,Q106879),cart(real,Q106879)),i(s(fun(cart(real,Q106879),fun(cart(real,Q106879),cart(real,Q106879))),vectoru_add),s(cart(real,Q106879),i(s(fun(fun(num,cart(real,Q106879)),cart(real,Q106879)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q106879)),cart(real,Q106879))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q106879)),f))))),s(cart(real,Q106879),i(s(fun(num,cart(real,Q106879)),f),s(num,i(s(fun(num,num),suc),s(num,N0))))))))),s(cart(real,Q106879),i(s(fun(fun(num,cart(real,Q106879)),cart(real,Q106879)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q106879)),cart(real,Q106879))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q106879)),f))))) )).++fof(aVSUMu_CLAUSESu_RIGHT,axiom,(+ ! [N,F0,M0,N0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,N0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,N0)))) )+ => s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,N)),F0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(fun(num,cart(real,N)),F0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),F0),s(num,N0))))) ) )).++fof(aVSUMu_CMULu_NUMSEG,axiom,(+ ! [Q106968,U_0] :+ ( ! [C0,F0,X] : s(cart(real,Q106968),i(s(fun(num,cart(real,Q106968)),i(s(fun(fun(num,cart(real,Q106968)),fun(num,cart(real,Q106968))),i(s(fun(real,fun(fun(num,cart(real,Q106968)),fun(num,cart(real,Q106968)))),U_0),s(real,C0))),s(fun(num,cart(real,Q106968)),F0))),s(num,X))) = s(cart(real,Q106968),i(s(fun(cart(real,Q106968),cart(real,Q106968)),i(s(fun(real,fun(cart(real,Q106968),cart(real,Q106968))),r_),s(real,C0))),s(cart(real,Q106968),i(s(fun(num,cart(real,Q106968)),F0),s(num,X)))))+ => ! [F0,C0,M0,N0] : s(cart(real,Q106968),i(s(fun(fun(num,cart(real,Q106968)),cart(real,Q106968)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q106968)),cart(real,Q106968))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q106968)),i(s(fun(fun(num,cart(real,Q106968)),fun(num,cart(real,Q106968))),i(s(fun(real,fun(fun(num,cart(real,Q106968)),fun(num,cart(real,Q106968)))),U_0),s(real,C0))),s(fun(num,cart(real,Q106968)),F0))))) = s(cart(real,Q106968),i(s(fun(cart(real,Q106968),cart(real,Q106968)),i(s(fun(real,fun(cart(real,Q106968),cart(real,Q106968))),r_),s(real,C0))),s(cart(real,Q106968),i(s(fun(fun(num,cart(real,Q106968)),cart(real,Q106968)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q106968)),cart(real,Q106968))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q106968)),F0))))) ) )).++fof(aVSUMu_EQu_NUMSEG,axiom,(+ ! [Q107021,F0,G0,M0,N0] :+ ( ! [X] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,X))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X))),s(num,N0)))) )+ => s(cart(real,Q107021),i(s(fun(num,cart(real,Q107021)),F0),s(num,X))) = s(cart(real,Q107021),i(s(fun(num,cart(real,Q107021)),G0),s(num,X))) )+ => s(cart(real,Q107021),i(s(fun(fun(num,cart(real,Q107021)),cart(real,Q107021)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107021)),cart(real,Q107021))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107021)),F0))) = s(cart(real,Q107021),i(s(fun(fun(num,cart(real,Q107021)),cart(real,Q107021)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107021)),cart(real,Q107021))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107021)),G0))) ) )).++fof(aVSUMu_IMAGEu_GEN,axiom,(+ ! [B,A,Q107061,U_1] :+ ( ! [S0,F0,Y,GENR_PVARR_281] :+ ( p(s(bool,i(s(fun(A,bool),i(s(fun(B,fun(A,bool)),i(s(fun(fun(A,B),fun(B,fun(A,bool))),i(s(fun(fun(A,bool),fun(fun(A,B),fun(B,fun(A,bool)))),U_1),s(fun(A,bool),S0))),s(fun(A,B),F0))),s(B,Y))),s(A,GENR_PVARR_281))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ & s(B,i(s(fun(A,B),F0),s(A,X))) = s(B,Y) ) )+ & p(s(bool,i(s(fun(A,bool),i(s(fun(bool,fun(A,bool)),i(s(fun(A,fun(bool,fun(A,bool))),setspec),s(A,GENR_PVARR_281))),s(bool,V))),s(A,X)))) ) )+ => ! [U_0] :+ ( ! [S0,F0,G0,Y] : s(cart(real,Q107061),i(s(fun(B,cart(real,Q107061)),i(s(fun(fun(A,cart(real,Q107061)),fun(B,cart(real,Q107061))),i(s(fun(fun(A,B),fun(fun(A,cart(real,Q107061)),fun(B,cart(real,Q107061)))),i(s(fun(fun(A,bool),fun(fun(A,B),fun(fun(A,cart(real,Q107061)),fun(B,cart(real,Q107061))))),U_0),s(fun(A,bool),S0))),s(fun(A,B),F0))),s(fun(A,cart(real,Q107061)),G0))),s(B,Y))) = s(cart(real,Q107061),i(s(fun(fun(A,cart(real,Q107061)),cart(real,Q107061)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q107061)),cart(real,Q107061))),vsum),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),gspec),s(fun(A,bool),i(s(fun(B,fun(A,bool)),i(s(fun(fun(A,B),fun(B,fun(A,bool))),i(s(fun(fun(A,bool),fun(fun(A,B),fun(B,fun(A,bool)))),U_1),s(fun(A,bool),S0))),s(fun(A,B),F0))),s(B,Y))))))),s(fun(A,cart(real,Q107061)),G0)))+ => ! [F0,G0,S0] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),S0))))+ => s(cart(real,Q107061),i(s(fun(fun(A,cart(real,Q107061)),cart(real,Q107061)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q107061)),cart(real,Q107061))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,Q107061)),G0))) = s(cart(real,Q107061),i(s(fun(fun(B,cart(real,Q107061)),cart(real,Q107061)),i(s(fun(fun(B,bool),fun(fun(B,cart(real,Q107061)),cart(real,Q107061))),vsum),s(fun(B,bool),i(s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))),s(fun(A,bool),S0))))),s(fun(B,cart(real,Q107061)),i(s(fun(fun(A,cart(real,Q107061)),fun(B,cart(real,Q107061))),i(s(fun(fun(A,B),fun(fun(A,cart(real,Q107061)),fun(B,cart(real,Q107061)))),i(s(fun(fun(A,bool),fun(fun(A,B),fun(fun(A,cart(real,Q107061)),fun(B,cart(real,Q107061))))),U_0),s(fun(A,bool),S0))),s(fun(A,B),F0))),s(fun(A,cart(real,Q107061)),G0))))) ) ) ) )).++fof(aVSUMu_GROUP,axiom,(+ ! [B,A,Q107150,U_1] :+ ( ! [S0,F0,Y,GENR_PVARR_282] :+ ( p(s(bool,i(s(fun(A,bool),i(s(fun(B,fun(A,bool)),i(s(fun(fun(A,B),fun(B,fun(A,bool))),i(s(fun(fun(A,bool),fun(fun(A,B),fun(B,fun(A,bool)))),U_1),s(fun(A,bool),S0))),s(fun(A,B),F0))),s(B,Y))),s(A,GENR_PVARR_282))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ & s(B,i(s(fun(A,B),F0),s(A,X))) = s(B,Y) ) )+ & p(s(bool,i(s(fun(A,bool),i(s(fun(bool,fun(A,bool)),i(s(fun(A,fun(bool,fun(A,bool))),setspec),s(A,GENR_PVARR_282))),s(bool,V))),s(A,X)))) ) )+ => ! [U_0] :+ ( ! [S0,F0,G0,Y] : s(cart(real,Q107150),i(s(fun(B,cart(real,Q107150)),i(s(fun(fun(A,cart(real,Q107150)),fun(B,cart(real,Q107150))),i(s(fun(fun(A,B),fun(fun(A,cart(real,Q107150)),fun(B,cart(real,Q107150)))),i(s(fun(fun(A,bool),fun(fun(A,B),fun(fun(A,cart(real,Q107150)),fun(B,cart(real,Q107150))))),U_0),s(fun(A,bool),S0))),s(fun(A,B),F0))),s(fun(A,cart(real,Q107150)),G0))),s(B,Y))) = s(cart(real,Q107150),i(s(fun(fun(A,cart(real,Q107150)),cart(real,Q107150)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q107150)),cart(real,Q107150))),vsum),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),gspec),s(fun(A,bool),i(s(fun(B,fun(A,bool)),i(s(fun(fun(A,B),fun(B,fun(A,bool))),i(s(fun(fun(A,bool),fun(fun(A,B),fun(B,fun(A,bool)))),U_1),s(fun(A,bool),S0))),s(fun(A,B),F0))),s(B,Y))))))),s(fun(A,cart(real,Q107150)),G0)))+ => ! [F0,G0,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),S0))))+ & p(s(bool,i(s(fun(fun(B,bool),bool),i(s(fun(fun(B,bool),fun(fun(B,bool),bool)),subset),s(fun(B,bool),i(s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))),s(fun(A,bool),S0))))),s(fun(B,bool),T0)))) )+ => s(cart(real,Q107150),i(s(fun(fun(B,cart(real,Q107150)),cart(real,Q107150)),i(s(fun(fun(B,bool),fun(fun(B,cart(real,Q107150)),cart(real,Q107150))),vsum),s(fun(B,bool),T0))),s(fun(B,cart(real,Q107150)),i(s(fun(fun(A,cart(real,Q107150)),fun(B,cart(real,Q107150))),i(s(fun(fun(A,B),fun(fun(A,cart(real,Q107150)),fun(B,cart(real,Q107150)))),i(s(fun(fun(A,bool),fun(fun(A,B),fun(fun(A,cart(real,Q107150)),fun(B,cart(real,Q107150))))),U_0),s(fun(A,bool),S0))),s(fun(A,B),F0))),s(fun(A,cart(real,Q107150)),G0))))) = s(cart(real,Q107150),i(s(fun(fun(A,cart(real,Q107150)),cart(real,Q107150)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q107150)),cart(real,Q107150))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,Q107150)),G0))) ) ) ) )).++fof(aVSUMu_VMUL,axiom,(+ ! [Q107186,Q107185,U_0] :+ ( ! [F0,V,X] : s(cart(real,Q107185),i(s(fun(Q107186,cart(real,Q107185)),i(s(fun(cart(real,Q107185),fun(Q107186,cart(real,Q107185))),i(s(fun(fun(Q107186,real),fun(cart(real,Q107185),fun(Q107186,cart(real,Q107185)))),U_0),s(fun(Q107186,real),F0))),s(cart(real,Q107185),V))),s(Q107186,X))) = s(cart(real,Q107185),i(s(fun(cart(real,Q107185),cart(real,Q107185)),i(s(fun(real,fun(cart(real,Q107185),cart(real,Q107185))),r_),s(real,i(s(fun(Q107186,real),F0),s(Q107186,X))))),s(cart(real,Q107185),V)))+ => ! [F0,V,S0] :+ ( p(s(bool,i(s(fun(fun(Q107186,bool),bool),finite),s(fun(Q107186,bool),S0))))+ => s(cart(real,Q107185),i(s(fun(cart(real,Q107185),cart(real,Q107185)),i(s(fun(real,fun(cart(real,Q107185),cart(real,Q107185))),r_),s(real,i(s(fun(fun(Q107186,real),real),i(s(fun(fun(Q107186,bool),fun(fun(Q107186,real),real)),sum),s(fun(Q107186,bool),S0))),s(fun(Q107186,real),F0))))),s(cart(real,Q107185),V))) = s(cart(real,Q107185),i(s(fun(fun(Q107186,cart(real,Q107185)),cart(real,Q107185)),i(s(fun(fun(Q107186,bool),fun(fun(Q107186,cart(real,Q107185)),cart(real,Q107185))),vsum),s(fun(Q107186,bool),S0))),s(fun(Q107186,cart(real,Q107185)),i(s(fun(cart(real,Q107185),fun(Q107186,cart(real,Q107185))),i(s(fun(fun(Q107186,real),fun(cart(real,Q107185),fun(Q107186,cart(real,Q107185)))),U_0),s(fun(Q107186,real),F0))),s(cart(real,Q107185),V))))) ) ) )).++fof(aVSUMu_DELTA,axiom,(+ ! [Q107219,Q107222,U_0] :+ ( ! [A5,X] :+ ? [V] :+ ( ( p(s(bool,V))+ <=> s(Q107219,X) = s(Q107219,A5) )+ & s(cart(real,Q107222),i(s(fun(Q107219,cart(real,Q107222)),i(s(fun(Q107219,fun(Q107219,cart(real,Q107222))),U_0),s(Q107219,A5))),s(Q107219,X))) = s(cart(real,Q107222),i(s(fun(cart(real,Q107222),cart(real,Q107222)),i(s(fun(cart(real,Q107222),fun(cart(real,Q107222),cart(real,Q107222))),i(s(fun(bool,fun(cart(real,Q107222),fun(cart(real,Q107222),cart(real,Q107222)))),cond),s(bool,V))),s(cart(real,Q107222),b0))),s(cart(real,Q107222),i(s(fun(num,cart(real,Q107222)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) )+ => ! [S0,A5] : s(cart(real,Q107222),i(s(fun(fun(Q107219,cart(real,Q107222)),cart(real,Q107222)),i(s(fun(fun(Q107219,bool),fun(fun(Q107219,cart(real,Q107222)),cart(real,Q107222))),vsum),s(fun(Q107219,bool),S0))),s(fun(Q107219,cart(real,Q107222)),i(s(fun(Q107219,fun(Q107219,cart(real,Q107222))),U_0),s(Q107219,A5))))) = s(cart(real,Q107222),i(s(fun(cart(real,Q107222),cart(real,Q107222)),i(s(fun(cart(real,Q107222),fun(cart(real,Q107222),cart(real,Q107222))),i(s(fun(bool,fun(cart(real,Q107222),fun(cart(real,Q107222),cart(real,Q107222)))),cond),s(bool,i(s(fun(fun(Q107219,bool),bool),i(s(fun(Q107219,fun(fun(Q107219,bool),bool)),in),s(Q107219,A5))),s(fun(Q107219,bool),S0))))),s(cart(real,Q107222),b0))),s(cart(real,Q107222),i(s(fun(num,cart(real,Q107222)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ) )).++fof(aVSUMu_ADDu_NUMSEG,axiom,(+ ! [Q107272,U_0] :+ ( ! [F0,G0,I0] : s(cart(real,Q107272),i(s(fun(num,cart(real,Q107272)),i(s(fun(fun(num,cart(real,Q107272)),fun(num,cart(real,Q107272))),i(s(fun(fun(num,cart(real,Q107272)),fun(fun(num,cart(real,Q107272)),fun(num,cart(real,Q107272)))),U_0),s(fun(num,cart(real,Q107272)),F0))),s(fun(num,cart(real,Q107272)),G0))),s(num,I0))) = s(cart(real,Q107272),i(s(fun(cart(real,Q107272),cart(real,Q107272)),i(s(fun(cart(real,Q107272),fun(cart(real,Q107272),cart(real,Q107272))),vectoru_add),s(cart(real,Q107272),i(s(fun(num,cart(real,Q107272)),F0),s(num,I0))))),s(cart(real,Q107272),i(s(fun(num,cart(real,Q107272)),G0),s(num,I0)))))+ => ! [F0,G0,M0,N0] : s(cart(real,Q107272),i(s(fun(fun(num,cart(real,Q107272)),cart(real,Q107272)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107272)),cart(real,Q107272))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107272)),i(s(fun(fun(num,cart(real,Q107272)),fun(num,cart(real,Q107272))),i(s(fun(fun(num,cart(real,Q107272)),fun(fun(num,cart(real,Q107272)),fun(num,cart(real,Q107272)))),U_0),s(fun(num,cart(real,Q107272)),F0))),s(fun(num,cart(real,Q107272)),G0))))) = s(cart(real,Q107272),i(s(fun(cart(real,Q107272),cart(real,Q107272)),i(s(fun(cart(real,Q107272),fun(cart(real,Q107272),cart(real,Q107272))),vectoru_add),s(cart(real,Q107272),i(s(fun(fun(num,cart(real,Q107272)),cart(real,Q107272)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107272)),cart(real,Q107272))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107272)),F0))))),s(cart(real,Q107272),i(s(fun(fun(num,cart(real,Q107272)),cart(real,Q107272)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107272)),cart(real,Q107272))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107272)),G0))))) ) )).++fof(aVSUMu_SUBu_NUMSEG,axiom,(+ ! [Q107324,U_0] :+ ( ! [F0,G0,I0] : s(cart(real,Q107324),i(s(fun(num,cart(real,Q107324)),i(s(fun(fun(num,cart(real,Q107324)),fun(num,cart(real,Q107324))),i(s(fun(fun(num,cart(real,Q107324)),fun(fun(num,cart(real,Q107324)),fun(num,cart(real,Q107324)))),U_0),s(fun(num,cart(real,Q107324)),F0))),s(fun(num,cart(real,Q107324)),G0))),s(num,I0))) = s(cart(real,Q107324),i(s(fun(cart(real,Q107324),cart(real,Q107324)),i(s(fun(cart(real,Q107324),fun(cart(real,Q107324),cart(real,Q107324))),vectoru_sub),s(cart(real,Q107324),i(s(fun(num,cart(real,Q107324)),F0),s(num,I0))))),s(cart(real,Q107324),i(s(fun(num,cart(real,Q107324)),G0),s(num,I0)))))+ => ! [F0,G0,M0,N0] : s(cart(real,Q107324),i(s(fun(fun(num,cart(real,Q107324)),cart(real,Q107324)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107324)),cart(real,Q107324))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107324)),i(s(fun(fun(num,cart(real,Q107324)),fun(num,cart(real,Q107324))),i(s(fun(fun(num,cart(real,Q107324)),fun(fun(num,cart(real,Q107324)),fun(num,cart(real,Q107324)))),U_0),s(fun(num,cart(real,Q107324)),F0))),s(fun(num,cart(real,Q107324)),G0))))) = s(cart(real,Q107324),i(s(fun(cart(real,Q107324),cart(real,Q107324)),i(s(fun(cart(real,Q107324),fun(cart(real,Q107324),cart(real,Q107324))),vectoru_sub),s(cart(real,Q107324),i(s(fun(fun(num,cart(real,Q107324)),cart(real,Q107324)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107324)),cart(real,Q107324))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107324)),F0))))),s(cart(real,Q107324),i(s(fun(fun(num,cart(real,Q107324)),cart(real,Q107324)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107324)),cart(real,Q107324))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107324)),G0))))) ) )).++fof(aVSUMu_ADDu_SPLIT,axiom,(+ ! [Q107387,F0,M0,N0,P0] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))+ => s(cart(real,Q107387),i(s(fun(fun(num,cart(real,Q107387)),cart(real,Q107387)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107387)),cart(real,Q107387))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,P0))))))),s(fun(num,cart(real,Q107387)),F0))) = s(cart(real,Q107387),i(s(fun(cart(real,Q107387),cart(real,Q107387)),i(s(fun(cart(real,Q107387),fun(cart(real,Q107387),cart(real,Q107387))),vectoru_add),s(cart(real,Q107387),i(s(fun(fun(num,cart(real,Q107387)),cart(real,Q107387)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107387)),cart(real,Q107387))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107387)),F0))))),s(cart(real,Q107387),i(s(fun(fun(num,cart(real,Q107387)),cart(real,Q107387)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107387)),cart(real,Q107387))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,P0))))))),s(fun(num,cart(real,Q107387)),F0))))) ) )).++fof(aVSUMu_VSUMu_PRODUCT,axiom,(+ ! [A,B,Q107444,U_2] :+ ( ! [X,F0] :+ ( p(s(bool,i(s(fun(fun(prod(A,B),cart(real,Q107444)),bool),i(s(fun(fun(A,fun(B,cart(real,Q107444))),fun(fun(prod(A,B),cart(real,Q107444)),bool)),U_2),s(fun(A,fun(B,cart(real,Q107444))),X))),s(fun(prod(A,B),cart(real,Q107444)),F0))))+ <=> ! [I0,J0] : p(s(bool,i(s(fun(cart(real,Q107444),bool),i(s(fun(cart(real,Q107444),fun(cart(real,Q107444),bool)),geq),s(cart(real,Q107444),i(s(fun(prod(A,B),cart(real,Q107444)),F0),s(prod(A,B),i(s(fun(B,prod(A,B)),i(s(fun(A,fun(B,prod(A,B))),c_),s(A,I0))),s(B,J0))))))),s(cart(real,Q107444),i(s(fun(B,cart(real,Q107444)),i(s(fun(A,fun(B,cart(real,Q107444))),X),s(A,I0))),s(B,J0)))))) )+ => ! [U_1] :+ ( ! [S0,T0,GENR_PVARR_283] :+ ( p(s(bool,i(s(fun(prod(A,B),bool),i(s(fun(fun(A,fun(B,bool)),fun(prod(A,B),bool)),i(s(fun(fun(A,bool),fun(fun(A,fun(B,bool)),fun(prod(A,B),bool))),U_1),s(fun(A,bool),S0))),s(fun(A,fun(B,bool)),T0))),s(prod(A,B),GENR_PVARR_283))))+ <=> ? [I0,J0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,I0))),s(fun(A,bool),S0))))+ & p(s(bool,i(s(fun(fun(B,bool),bool),i(s(fun(B,fun(fun(B,bool),bool)),in),s(B,J0))),s(fun(B,bool),i(s(fun(A,fun(B,bool)),T0),s(A,I0)))))) ) )+ & p(s(bool,i(s(fun(prod(A,B),bool),i(s(fun(bool,fun(prod(A,B),bool)),i(s(fun(prod(A,B),fun(bool,fun(prod(A,B),bool))),setspec),s(prod(A,B),GENR_PVARR_283))),s(bool,V))),s(prod(A,B),i(s(fun(B,prod(A,B)),i(s(fun(A,fun(B,prod(A,B))),c_),s(A,I0))),s(B,J0)))))) ) )+ => ! [U_0] :+ ( ! [T0,X,I0] : s(cart(real,Q107444),i(s(fun(A,cart(real,Q107444)),i(s(fun(fun(A,fun(B,cart(real,Q107444))),fun(A,cart(real,Q107444))),i(s(fun(fun(A,fun(B,bool)),fun(fun(A,fun(B,cart(real,Q107444))),fun(A,cart(real,Q107444)))),U_0),s(fun(A,fun(B,bool)),T0))),s(fun(A,fun(B,cart(real,Q107444))),X))),s(A,I0))) = s(cart(real,Q107444),i(s(fun(fun(B,cart(real,Q107444)),cart(real,Q107444)),i(s(fun(fun(B,bool),fun(fun(B,cart(real,Q107444)),cart(real,Q107444))),vsum),s(fun(B,bool),i(s(fun(A,fun(B,bool)),T0),s(A,I0))))),s(fun(B,cart(real,Q107444)),i(s(fun(A,fun(B,cart(real,Q107444))),X),s(A,I0)))))+ => ! [S0,T0,X] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),S0))))+ & ! [I0] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,I0))),s(fun(A,bool),S0))))+ => p(s(bool,i(s(fun(fun(B,bool),bool),finite),s(fun(B,bool),i(s(fun(A,fun(B,bool)),T0),s(A,I0)))))) ) )+ => s(cart(real,Q107444),i(s(fun(fun(A,cart(real,Q107444)),cart(real,Q107444)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q107444)),cart(real,Q107444))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,Q107444)),i(s(fun(fun(A,fun(B,cart(real,Q107444))),fun(A,cart(real,Q107444))),i(s(fun(fun(A,fun(B,bool)),fun(fun(A,fun(B,cart(real,Q107444))),fun(A,cart(real,Q107444)))),U_0),s(fun(A,fun(B,bool)),T0))),s(fun(A,fun(B,cart(real,Q107444))),X))))) = s(cart(real,Q107444),i(s(fun(fun(prod(A,B),cart(real,Q107444)),cart(real,Q107444)),i(s(fun(fun(prod(A,B),bool),fun(fun(prod(A,B),cart(real,Q107444)),cart(real,Q107444))),vsum),s(fun(prod(A,B),bool),i(s(fun(fun(prod(A,B),bool),fun(prod(A,B),bool)),gspec),s(fun(prod(A,B),bool),i(s(fun(fun(A,fun(B,bool)),fun(prod(A,B),bool)),i(s(fun(fun(A,bool),fun(fun(A,fun(B,bool)),fun(prod(A,B),bool))),U_1),s(fun(A,bool),S0))),s(fun(A,fun(B,bool)),T0))))))),s(fun(prod(A,B),cart(real,Q107444)),i(s(fun(fun(fun(prod(A,B),cart(real,Q107444)),bool),fun(prod(A,B),cart(real,Q107444))),gabs),s(fun(fun(prod(A,B),cart(real,Q107444)),bool),i(s(fun(fun(A,fun(B,cart(real,Q107444))),fun(fun(prod(A,B),cart(real,Q107444)),bool)),U_2),s(fun(A,fun(B,cart(real,Q107444))),X))))))) ) ) ) ) )).++fof(aVSUMu_IMAGEu_NONZERO,axiom,(+ ! [N,A,B,D0,I0,S0] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),S0))))+ & ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ & p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,Y))),s(fun(A,bool),S0))))+ & s(A,X) != s(A,Y)+ & s(B,i(s(fun(A,B),I0),s(A,X))) = s(B,i(s(fun(A,B),I0),s(A,Y))) )+ => s(cart(real,N),i(s(fun(B,cart(real,N)),D0),s(B,i(s(fun(A,B),I0),s(A,X))))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ => s(cart(real,N),i(s(fun(fun(B,cart(real,N)),cart(real,N)),i(s(fun(fun(B,bool),fun(fun(B,cart(real,N)),cart(real,N))),vsum),s(fun(B,bool),i(s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),I0))),s(fun(A,bool),S0))))),s(fun(B,cart(real,N)),D0))) = s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),i(s(fun(fun(A,B),fun(A,cart(real,N))),i(s(fun(fun(B,cart(real,N)),fun(fun(A,B),fun(A,cart(real,N)))),o),s(fun(B,cart(real,N)),D0))),s(fun(A,B),I0))))) ) )).++fof(aVSUMu_UNIONu_NONZERO,axiom,(+ ! [Q107636,Q107660,F0,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(Q107636,bool),bool),finite),s(fun(Q107636,bool),S0))))+ & p(s(bool,i(s(fun(fun(Q107636,bool),bool),finite),s(fun(Q107636,bool),T0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(Q107636,bool),bool),i(s(fun(Q107636,fun(fun(Q107636,bool),bool)),in),s(Q107636,X))),s(fun(Q107636,bool),i(s(fun(fun(Q107636,bool),fun(Q107636,bool)),i(s(fun(fun(Q107636,bool),fun(fun(Q107636,bool),fun(Q107636,bool))),inter),s(fun(Q107636,bool),S0))),s(fun(Q107636,bool),T0))))))+ => s(cart(real,Q107660),i(s(fun(Q107636,cart(real,Q107660)),F0),s(Q107636,X))) = s(cart(real,Q107660),i(s(fun(num,cart(real,Q107660)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ => s(cart(real,Q107660),i(s(fun(fun(Q107636,cart(real,Q107660)),cart(real,Q107660)),i(s(fun(fun(Q107636,bool),fun(fun(Q107636,cart(real,Q107660)),cart(real,Q107660))),vsum),s(fun(Q107636,bool),i(s(fun(fun(Q107636,bool),fun(Q107636,bool)),i(s(fun(fun(Q107636,bool),fun(fun(Q107636,bool),fun(Q107636,bool))),union),s(fun(Q107636,bool),S0))),s(fun(Q107636,bool),T0))))),s(fun(Q107636,cart(real,Q107660)),F0))) = s(cart(real,Q107660),i(s(fun(cart(real,Q107660),cart(real,Q107660)),i(s(fun(cart(real,Q107660),fun(cart(real,Q107660),cart(real,Q107660))),vectoru_add),s(cart(real,Q107660),i(s(fun(fun(Q107636,cart(real,Q107660)),cart(real,Q107660)),i(s(fun(fun(Q107636,bool),fun(fun(Q107636,cart(real,Q107660)),cart(real,Q107660))),vsum),s(fun(Q107636,bool),S0))),s(fun(Q107636,cart(real,Q107660)),F0))))),s(cart(real,Q107660),i(s(fun(fun(Q107636,cart(real,Q107660)),cart(real,Q107660)),i(s(fun(fun(Q107636,bool),fun(fun(Q107636,cart(real,Q107660)),cart(real,Q107660))),vsum),s(fun(Q107636,bool),T0))),s(fun(Q107636,cart(real,Q107660)),F0))))) ) )).++fof(aVSUMu_UNIONSu_NONZERO,axiom,(+ ! [A,Q107754,U_0] :+ ( ! [F0,T0] : s(cart(real,Q107754),i(s(fun(fun(A,bool),cart(real,Q107754)),i(s(fun(fun(A,cart(real,Q107754)),fun(fun(A,bool),cart(real,Q107754))),U_0),s(fun(A,cart(real,Q107754)),F0))),s(fun(A,bool),T0))) = s(cart(real,Q107754),i(s(fun(fun(A,cart(real,Q107754)),cart(real,Q107754)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q107754)),cart(real,Q107754))),vsum),s(fun(A,bool),T0))),s(fun(A,cart(real,Q107754)),F0)))+ => ! [F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(fun(A,bool),bool),bool),finite),s(fun(fun(A,bool),bool),S0))))+ & ! [T0] :+ ( p(s(bool,i(s(fun(fun(fun(A,bool),bool),bool),i(s(fun(fun(A,bool),fun(fun(fun(A,bool),bool),bool)),in),s(fun(A,bool),T0))),s(fun(fun(A,bool),bool),S0))))+ => p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),T0)))) )+ & ! [T1,T2,X] :+ ( ( p(s(bool,i(s(fun(fun(fun(A,bool),bool),bool),i(s(fun(fun(A,bool),fun(fun(fun(A,bool),bool),bool)),in),s(fun(A,bool),T1))),s(fun(fun(A,bool),bool),S0))))+ & p(s(bool,i(s(fun(fun(fun(A,bool),bool),bool),i(s(fun(fun(A,bool),fun(fun(fun(A,bool),bool),bool)),in),s(fun(A,bool),T2))),s(fun(fun(A,bool),bool),S0))))+ & s(fun(A,bool),T1) != s(fun(A,bool),T2)+ & p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),T1))))+ & p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),T2)))) )+ => s(cart(real,Q107754),i(s(fun(A,cart(real,Q107754)),F0),s(A,X))) = s(cart(real,Q107754),i(s(fun(num,cart(real,Q107754)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ => s(cart(real,Q107754),i(s(fun(fun(A,cart(real,Q107754)),cart(real,Q107754)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q107754)),cart(real,Q107754))),vsum),s(fun(A,bool),i(s(fun(fun(fun(A,bool),bool),fun(A,bool)),unions),s(fun(fun(A,bool),bool),S0))))),s(fun(A,cart(real,Q107754)),F0))) = s(cart(real,Q107754),i(s(fun(fun(fun(A,bool),cart(real,Q107754)),cart(real,Q107754)),i(s(fun(fun(fun(A,bool),bool),fun(fun(fun(A,bool),cart(real,Q107754)),cart(real,Q107754))),vsum),s(fun(fun(A,bool),bool),S0))),s(fun(fun(A,bool),cart(real,Q107754)),i(s(fun(fun(A,cart(real,Q107754)),fun(fun(A,bool),cart(real,Q107754))),U_0),s(fun(A,cart(real,Q107754)),F0))))) ) ) )).++fof(aVSUMu_CLAUSESu_LEFT,axiom,(+ ! [Q107795,F0,M0,N0] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,N0))))+ => s(cart(real,Q107795),i(s(fun(fun(num,cart(real,Q107795)),cart(real,Q107795)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107795)),cart(real,Q107795))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107795)),F0))) = s(cart(real,Q107795),i(s(fun(cart(real,Q107795),cart(real,Q107795)),i(s(fun(cart(real,Q107795),fun(cart(real,Q107795),cart(real,Q107795))),vectoru_add),s(cart(real,Q107795),i(s(fun(num,cart(real,Q107795)),F0),s(num,M0))))),s(cart(real,Q107795),i(s(fun(fun(num,cart(real,Q107795)),cart(real,Q107795)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107795)),cart(real,Q107795))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,M0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,N0))))),s(fun(num,cart(real,Q107795)),F0))))) ) )).++fof(aVSUMu_DIFFS,axiom,(+ ! [Q107857,U_0] :+ ( ! [K0] : s(cart(real,Q107857),i(s(fun(num,cart(real,Q107857)),U_0),s(num,K0))) = s(cart(real,Q107857),i(s(fun(cart(real,Q107857),cart(real,Q107857)),i(s(fun(cart(real,Q107857),fun(cart(real,Q107857),cart(real,Q107857))),vectoru_sub),s(cart(real,Q107857),i(s(fun(num,cart(real,Q107857)),f),s(num,K0))))),s(cart(real,Q107857),i(s(fun(num,cart(real,Q107857)),f),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))+ => ! [M0,N0] : s(cart(real,Q107857),i(s(fun(fun(num,cart(real,Q107857)),cart(real,Q107857)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107857)),cart(real,Q107857))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107857)),U_0))) = s(cart(real,Q107857),i(s(fun(cart(real,Q107857),cart(real,Q107857)),i(s(fun(cart(real,Q107857),fun(cart(real,Q107857),cart(real,Q107857))),i(s(fun(bool,fun(cart(real,Q107857),fun(cart(real,Q107857),cart(real,Q107857)))),cond),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,N0))))),s(cart(real,Q107857),i(s(fun(cart(real,Q107857),cart(real,Q107857)),i(s(fun(cart(real,Q107857),fun(cart(real,Q107857),cart(real,Q107857))),vectoru_sub),s(cart(real,Q107857),i(s(fun(num,cart(real,Q107857)),f),s(num,M0))))),s(cart(real,Q107857),i(s(fun(num,cart(real,Q107857)),f),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(cart(real,Q107857),i(s(fun(num,cart(real,Q107857)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ) )).++fof(aVSUMu_DIFFSu_ALT,axiom,(+ ! [Q107910,U_0] :+ ( ! [K0] : s(cart(real,Q107910),i(s(fun(num,cart(real,Q107910)),U_0),s(num,K0))) = s(cart(real,Q107910),i(s(fun(cart(real,Q107910),cart(real,Q107910)),i(s(fun(cart(real,Q107910),fun(cart(real,Q107910),cart(real,Q107910))),vectoru_sub),s(cart(real,Q107910),i(s(fun(num,cart(real,Q107910)),f),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,Q107910),i(s(fun(num,cart(real,Q107910)),f),s(num,K0)))))+ => ! [M0,N0] : s(cart(real,Q107910),i(s(fun(fun(num,cart(real,Q107910)),cart(real,Q107910)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q107910)),cart(real,Q107910))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q107910)),U_0))) = s(cart(real,Q107910),i(s(fun(cart(real,Q107910),cart(real,Q107910)),i(s(fun(cart(real,Q107910),fun(cart(real,Q107910),cart(real,Q107910))),i(s(fun(bool,fun(cart(real,Q107910),fun(cart(real,Q107910),cart(real,Q107910)))),cond),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,N0))))),s(cart(real,Q107910),i(s(fun(cart(real,Q107910),cart(real,Q107910)),i(s(fun(cart(real,Q107910),fun(cart(real,Q107910),cart(real,Q107910))),vectoru_sub),s(cart(real,Q107910),i(s(fun(num,cart(real,Q107910)),f),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,Q107910),i(s(fun(num,cart(real,Q107910)),f),s(num,M0))))))),s(cart(real,Q107910),i(s(fun(num,cart(real,Q107910)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ) )).++fof(aVSUMu_DELETEu_CASES,axiom,(+ ! [A,Q107975,X,F0,S0] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),S0))))+ => s(cart(real,Q107975),i(s(fun(fun(A,cart(real,Q107975)),cart(real,Q107975)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q107975)),cart(real,Q107975))),vsum),s(fun(A,bool),i(s(fun(A,fun(A,bool)),i(s(fun(fun(A,bool),fun(A,fun(A,bool))),delete),s(fun(A,bool),S0))),s(A,X))))),s(fun(A,cart(real,Q107975)),F0))) = s(cart(real,Q107975),i(s(fun(cart(real,Q107975),cart(real,Q107975)),i(s(fun(cart(real,Q107975),fun(cart(real,Q107975),cart(real,Q107975))),i(s(fun(bool,fun(cart(real,Q107975),fun(cart(real,Q107975),cart(real,Q107975)))),cond),s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))),s(cart(real,Q107975),i(s(fun(cart(real,Q107975),cart(real,Q107975)),i(s(fun(cart(real,Q107975),fun(cart(real,Q107975),cart(real,Q107975))),vectoru_sub),s(cart(real,Q107975),i(s(fun(fun(A,cart(real,Q107975)),cart(real,Q107975)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q107975)),cart(real,Q107975))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,Q107975)),F0))))),s(cart(real,Q107975),i(s(fun(A,cart(real,Q107975)),F0),s(A,X))))))),s(cart(real,Q107975),i(s(fun(fun(A,cart(real,Q107975)),cart(real,Q107975)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,Q107975)),cart(real,Q107975))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,Q107975)),F0))))) ) )).++fof(aVSUMu_EQu_GENERAL,axiom,(+ ! [A,B,N,S0,T0,F0,G0,H0] :+ ( ( ! [Y] :+ ( p(s(bool,i(s(fun(fun(B,bool),bool),i(s(fun(B,fun(fun(B,bool),bool)),in),s(B,Y))),s(fun(B,bool),T0))))+ => ( ? [X] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ & s(B,i(s(fun(A,B),H0),s(A,X))) = s(B,Y) )+ & ! [X,XI_] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ & s(B,i(s(fun(A,B),H0),s(A,X))) = s(B,Y)+ & p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,XI_))),s(fun(A,bool),S0))))+ & s(B,i(s(fun(A,B),H0),s(A,XI_))) = s(B,Y) )+ => s(A,X) = s(A,XI_) ) ) )+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ => ( p(s(bool,i(s(fun(fun(B,bool),bool),i(s(fun(B,fun(fun(B,bool),bool)),in),s(B,i(s(fun(A,B),H0),s(A,X))))),s(fun(B,bool),T0))))+ & s(cart(real,N),i(s(fun(B,cart(real,N)),G0),s(B,i(s(fun(A,B),H0),s(A,X))))) = s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,X))) ) ) )+ => s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),F0))) = s(cart(real,N),i(s(fun(fun(B,cart(real,N)),cart(real,N)),i(s(fun(fun(B,bool),fun(fun(B,cart(real,N)),cart(real,N))),vsum),s(fun(B,bool),T0))),s(fun(B,cart(real,N)),G0))) ) )).++fof(aVSUMu_EQu_GENERALu_INVERSES,axiom,(+ ! [A,B,N,S0,T0,F0,G0,H0,K0] :+ ( ( ! [Y] :+ ( p(s(bool,i(s(fun(fun(B,bool),bool),i(s(fun(B,fun(fun(B,bool),bool)),in),s(B,Y))),s(fun(B,bool),T0))))+ => ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,i(s(fun(B,A),K0),s(B,Y))))),s(fun(A,bool),S0))))+ & s(B,i(s(fun(A,B),H0),s(A,i(s(fun(B,A),K0),s(B,Y))))) = s(B,Y) ) )+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ => ( p(s(bool,i(s(fun(fun(B,bool),bool),i(s(fun(B,fun(fun(B,bool),bool)),in),s(B,i(s(fun(A,B),H0),s(A,X))))),s(fun(B,bool),T0))))+ & s(A,i(s(fun(B,A),K0),s(B,i(s(fun(A,B),H0),s(A,X))))) = s(A,X)+ & s(cart(real,N),i(s(fun(B,cart(real,N)),G0),s(B,i(s(fun(A,B),H0),s(A,X))))) = s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,X))) ) ) )+ => s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),F0))) = s(cart(real,N),i(s(fun(fun(B,cart(real,N)),cart(real,N)),i(s(fun(fun(B,bool),fun(fun(B,cart(real,N)),cart(real,N))),vsum),s(fun(B,bool),T0))),s(fun(B,cart(real,N)),G0))) ) )).++fof(aVSUMu_NORMu_ALLSUBSETSu_BOUND,axiom,(+ ! [A,N,U_0] :+ ( ! [F0,X] : s(real,i(s(fun(A,real),i(s(fun(fun(A,cart(real,N)),fun(A,real)),U_0),s(fun(A,cart(real,N)),F0))),s(A,X))) = s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,X)))))+ => ! [F0,P0,E0] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),P0))))+ & ! [Q0] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(fun(A,bool),fun(fun(A,bool),bool)),subset),s(fun(A,bool),Q0))),s(fun(A,bool),P0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),Q0))),s(fun(A,cart(real,N)),F0))))))),s(real,E0)))) ) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(A,real),real),i(s(fun(fun(A,bool),fun(fun(A,real),real)),sum),s(fun(A,bool),P0))),s(fun(A,real),i(s(fun(fun(A,cart(real,N)),fun(A,real)),U_0),s(fun(A,cart(real,N)),F0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(real,E0)))))))) ) ) )).++fof(aDOTu_LSUM,axiom,(+ ! [Q108537,Q108528,U_0] :+ ( ! [F0,Y,X] : s(real,i(s(fun(Q108537,real),i(s(fun(cart(real,Q108528),fun(Q108537,real)),i(s(fun(fun(Q108537,cart(real,Q108528)),fun(cart(real,Q108528),fun(Q108537,real))),U_0),s(fun(Q108537,cart(real,Q108528)),F0))),s(cart(real,Q108528),Y))),s(Q108537,X))) = s(real,i(s(fun(cart(real,Q108528),real),i(s(fun(cart(real,Q108528),fun(cart(real,Q108528),real)),dot),s(cart(real,Q108528),i(s(fun(Q108537,cart(real,Q108528)),F0),s(Q108537,X))))),s(cart(real,Q108528),Y)))+ => ! [S0,F0,Y] :+ ( p(s(bool,i(s(fun(fun(Q108537,bool),bool),finite),s(fun(Q108537,bool),S0))))+ => s(real,i(s(fun(cart(real,Q108528),real),i(s(fun(cart(real,Q108528),fun(cart(real,Q108528),real)),dot),s(cart(real,Q108528),i(s(fun(fun(Q108537,cart(real,Q108528)),cart(real,Q108528)),i(s(fun(fun(Q108537,bool),fun(fun(Q108537,cart(real,Q108528)),cart(real,Q108528))),vsum),s(fun(Q108537,bool),S0))),s(fun(Q108537,cart(real,Q108528)),F0))))),s(cart(real,Q108528),Y))) = s(real,i(s(fun(fun(Q108537,real),real),i(s(fun(fun(Q108537,bool),fun(fun(Q108537,real),real)),sum),s(fun(Q108537,bool),S0))),s(fun(Q108537,real),i(s(fun(cart(real,Q108528),fun(Q108537,real)),i(s(fun(fun(Q108537,cart(real,Q108528)),fun(cart(real,Q108528),fun(Q108537,real))),U_0),s(fun(Q108537,cart(real,Q108528)),F0))),s(cart(real,Q108528),Y))))) ) ) )).++fof(aDOTu_RSUM,axiom,(+ ! [Q108573,Q108564,U_0] :+ ( ! [X,F0,Y] : s(real,i(s(fun(Q108573,real),i(s(fun(fun(Q108573,cart(real,Q108564)),fun(Q108573,real)),i(s(fun(cart(real,Q108564),fun(fun(Q108573,cart(real,Q108564)),fun(Q108573,real))),U_0),s(cart(real,Q108564),X))),s(fun(Q108573,cart(real,Q108564)),F0))),s(Q108573,Y))) = s(real,i(s(fun(cart(real,Q108564),real),i(s(fun(cart(real,Q108564),fun(cart(real,Q108564),real)),dot),s(cart(real,Q108564),X))),s(cart(real,Q108564),i(s(fun(Q108573,cart(real,Q108564)),F0),s(Q108573,Y)))))+ => ! [S0,F0,X] :+ ( p(s(bool,i(s(fun(fun(Q108573,bool),bool),finite),s(fun(Q108573,bool),S0))))+ => s(real,i(s(fun(cart(real,Q108564),real),i(s(fun(cart(real,Q108564),fun(cart(real,Q108564),real)),dot),s(cart(real,Q108564),X))),s(cart(real,Q108564),i(s(fun(fun(Q108573,cart(real,Q108564)),cart(real,Q108564)),i(s(fun(fun(Q108573,bool),fun(fun(Q108573,cart(real,Q108564)),cart(real,Q108564))),vsum),s(fun(Q108573,bool),S0))),s(fun(Q108573,cart(real,Q108564)),F0))))) = s(real,i(s(fun(fun(Q108573,real),real),i(s(fun(fun(Q108573,bool),fun(fun(Q108573,real),real)),sum),s(fun(Q108573,bool),S0))),s(fun(Q108573,real),i(s(fun(fun(Q108573,cart(real,Q108564)),fun(Q108573,real)),i(s(fun(cart(real,Q108564),fun(fun(Q108573,cart(real,Q108564)),fun(Q108573,real))),U_0),s(cart(real,Q108564),X))),s(fun(Q108573,cart(real,Q108564)),F0))))) ) ) )).++fof(aVSUMu_OFFSET,axiom,(+ ! [Q108605,U_0] :+ ( ! [F0,P0,I0] : s(cart(real,Q108605),i(s(fun(num,cart(real,Q108605)),i(s(fun(num,fun(num,cart(real,Q108605))),i(s(fun(fun(num,cart(real,Q108605)),fun(num,fun(num,cart(real,Q108605)))),U_0),s(fun(num,cart(real,Q108605)),F0))),s(num,P0))),s(num,I0))) = s(cart(real,Q108605),i(s(fun(num,cart(real,Q108605)),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,I0))),s(num,P0)))))+ => ! [F0,M0,P0] : s(cart(real,Q108605),i(s(fun(fun(num,cart(real,Q108605)),cart(real,Q108605)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q108605)),cart(real,Q108605))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,M0))),s(num,P0))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,n))),s(num,P0))))))),s(fun(num,cart(real,Q108605)),F0))) = s(cart(real,Q108605),i(s(fun(fun(num,cart(real,Q108605)),cart(real,Q108605)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q108605)),cart(real,Q108605))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,n))))),s(fun(num,cart(real,Q108605)),i(s(fun(num,fun(num,cart(real,Q108605))),i(s(fun(fun(num,cart(real,Q108605)),fun(num,fun(num,cart(real,Q108605)))),U_0),s(fun(num,cart(real,Q108605)),F0))),s(num,P0))))) ) )).++fof(aVSUMu_OFFSETu_0,axiom,(+ ! [Q108650,U_0] :+ ( ! [F0,M0,I0] : s(cart(real,Q108650),i(s(fun(num,cart(real,Q108650)),i(s(fun(num,fun(num,cart(real,Q108650))),i(s(fun(fun(num,cart(real,Q108650)),fun(num,fun(num,cart(real,Q108650)))),U_0),s(fun(num,cart(real,Q108650)),F0))),s(num,M0))),s(num,I0))) = s(cart(real,Q108650),i(s(fun(num,cart(real,Q108650)),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,I0))),s(num,M0)))))+ => ! [F0,M0,N0] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,N0))))+ => s(cart(real,Q108650),i(s(fun(fun(num,cart(real,Q108650)),cart(real,Q108650)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q108650)),cart(real,Q108650))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q108650)),F0))) = s(cart(real,Q108650),i(s(fun(fun(num,cart(real,Q108650)),cart(real,Q108650)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q108650)),cart(real,Q108650))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,N0))),s(num,M0))))))),s(fun(num,cart(real,Q108650)),i(s(fun(num,fun(num,cart(real,Q108650))),i(s(fun(fun(num,cart(real,Q108650)),fun(num,fun(num,cart(real,Q108650)))),U_0),s(fun(num,cart(real,Q108650)),F0))),s(num,M0))))) ) ) )).++fof(aVSUMu_TRIVu_NUMSEG,axiom,(+ ! [Q108694,F0,M0,N0] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,N0))),s(num,M0))))+ => s(cart(real,Q108694),i(s(fun(fun(num,cart(real,Q108694)),cart(real,Q108694)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q108694)),cart(real,Q108694))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q108694)),F0))) = s(cart(real,Q108694),i(s(fun(num,cart(real,Q108694)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aVSUMu_CONSTu_NUMSEG,axiom,(+ ! [Q108721,U_0] :+ ( ! [C0,N0] : s(cart(real,Q108721),i(s(fun(num,cart(real,Q108721)),i(s(fun(cart(real,Q108721),fun(num,cart(real,Q108721))),U_0),s(cart(real,Q108721),C0))),s(num,N0))) = s(cart(real,Q108721),C0)+ => ! [C0,M0,N0] : s(cart(real,Q108721),i(s(fun(fun(num,cart(real,Q108721)),cart(real,Q108721)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q108721)),cart(real,Q108721))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q108721)),i(s(fun(cart(real,Q108721),fun(num,cart(real,Q108721))),U_0),s(cart(real,Q108721),C0))))) = s(cart(real,Q108721),i(s(fun(cart(real,Q108721),cart(real,Q108721)),i(s(fun(real,fun(cart(real,Q108721),cart(real,Q108721))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,M0))))))),s(cart(real,Q108721),C0))) ) )).++fof(aVSUMu_SUC,axiom,(+ ! [Q108775,F0,M0,N0] : s(cart(real,Q108775),i(s(fun(fun(num,cart(real,Q108775)),cart(real,Q108775)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q108775)),cart(real,Q108775))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),suc),s(num,N0))))),s(num,i(s(fun(num,num),suc),s(num,M0))))))),s(fun(num,cart(real,Q108775)),F0))) = s(cart(real,Q108775),i(s(fun(fun(num,cart(real,Q108775)),cart(real,Q108775)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q108775)),cart(real,Q108775))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,N0))),s(num,M0))))),s(fun(num,cart(real,Q108775)),i(s(fun(fun(num,num),fun(num,cart(real,Q108775))),i(s(fun(fun(num,cart(real,Q108775)),fun(fun(num,num),fun(num,cart(real,Q108775)))),o),s(fun(num,cart(real,Q108775)),F0))),s(fun(num,num),suc))))) )).++fof(aVSUMu_BIJECTION,axiom,(+ ! [N,A,F0,P0,S0] :+ ( ( ! [X] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ => p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,i(s(fun(A,A),P0),s(A,X))))),s(fun(A,bool),S0)))) )+ & ! [Y] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,Y))),s(fun(A,bool),S0))))+ => ( ? [X] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ & s(A,i(s(fun(A,A),P0),s(A,X))) = s(A,Y) )+ & ! [X,XI_] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ & s(A,i(s(fun(A,A),P0),s(A,X))) = s(A,Y)+ & p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,XI_))),s(fun(A,bool),S0))))+ & s(A,i(s(fun(A,A),P0),s(A,XI_))) = s(A,Y) )+ => s(A,X) = s(A,XI_) ) ) ) )+ => s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),F0))) = s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),i(s(fun(fun(A,A),fun(A,cart(real,N))),i(s(fun(fun(A,cart(real,N)),fun(fun(A,A),fun(A,cart(real,N)))),o),s(fun(A,cart(real,N)),F0))),s(fun(A,A),P0))))) ) )).++fof(aVSUMu_PARTIALu_SUC,axiom,(+ ! [N,U_1] :+ ( ! [F0,G0,K0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),i(s(fun(fun(num,real),fun(fun(num,cart(real,N)),fun(num,cart(real,N)))),U_1),s(fun(num,real),F0))),s(fun(num,cart(real,N)),G0))),s(num,K0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),F0),s(num,K0))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))+ => ! [U_0] :+ ( ! [F0,G0,K0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),i(s(fun(fun(num,real),fun(fun(num,cart(real,N)),fun(num,cart(real,N)))),U_0),s(fun(num,real),F0))),s(fun(num,cart(real,N)),G0))),s(num,K0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(num,real),F0),s(num,K0))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,K0)))))))+ => ! [F0,G0,M0,N0] : s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),i(s(fun(fun(num,real),fun(fun(num,cart(real,N)),fun(num,cart(real,N)))),U_0),s(fun(num,real),F0))),s(fun(num,cart(real,N)),G0))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),i(s(fun(bool,fun(cart(real,N),fun(cart(real,N),cart(real,N)))),cond),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,N0))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(num,real),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(num,real),F0),s(num,M0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,M0))))))))),s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),i(s(fun(fun(num,real),fun(fun(num,cart(real,N)),fun(num,cart(real,N)))),U_1),s(fun(num,real),F0))),s(fun(num,cart(real,N)),G0))))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ) ) )).++fof(aVSUMu_PARTIALu_PRE,axiom,(+ ! [N,U_1] :+ ( ! [F0,G0,K0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),i(s(fun(fun(num,real),fun(fun(num,cart(real,N)),fun(num,cart(real,N)))),U_1),s(fun(num,real),F0))),s(fun(num,cart(real,N)),G0))),s(num,K0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),F0),s(num,K0))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,K0)))))+ => ! [U_0] :+ ( ! [F0,G0,K0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),i(s(fun(fun(num,real),fun(fun(num,cart(real,N)),fun(num,cart(real,N)))),U_0),s(fun(num,real),F0))),s(fun(num,cart(real,N)),G0))),s(num,K0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(num,real),F0),s(num,K0))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,K0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))))+ => ! [F0,G0,M0,N0] : s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),i(s(fun(fun(num,real),fun(fun(num,cart(real,N)),fun(num,cart(real,N)))),U_0),s(fun(num,real),F0))),s(fun(num,cart(real,N)),G0))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),i(s(fun(bool,fun(cart(real,N),fun(cart(real,N),cart(real,N)))),cond),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,N0))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(num,real),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,N0))))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(num,real),F0),s(num,M0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,M0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))))),s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),i(s(fun(fun(num,real),fun(fun(num,cart(real,N)),fun(num,cart(real,N)))),U_1),s(fun(num,real),F0))),s(fun(num,cart(real,N)),G0))))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ) ) )).++fof(aVSUMu_COMBINEu_L,axiom,(+ ! [Q109147,F0,M0,N0,P0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,N0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,N0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,N0))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,P0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )+ => s(cart(real,Q109147),i(s(fun(cart(real,Q109147),cart(real,Q109147)),i(s(fun(cart(real,Q109147),fun(cart(real,Q109147),cart(real,Q109147))),vectoru_add),s(cart(real,Q109147),i(s(fun(fun(num,cart(real,Q109147)),cart(real,Q109147)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109147)),cart(real,Q109147))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(fun(num,cart(real,Q109147)),F0))))),s(cart(real,Q109147),i(s(fun(fun(num,cart(real,Q109147)),cart(real,Q109147)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109147)),cart(real,Q109147))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,N0))),s(num,P0))))),s(fun(num,cart(real,Q109147)),F0))))) = s(cart(real,Q109147),i(s(fun(fun(num,cart(real,Q109147)),cart(real,Q109147)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109147)),cart(real,Q109147))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,P0))))),s(fun(num,cart(real,Q109147)),F0))) ) )).++fof(aVSUMu_COMBINEu_R,axiom,(+ ! [Q109210,F0,M0,N0,P0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,N0))),s(num,P0)))) )+ => s(cart(real,Q109210),i(s(fun(cart(real,Q109210),cart(real,Q109210)),i(s(fun(cart(real,Q109210),fun(cart(real,Q109210),cart(real,Q109210))),vectoru_add),s(cart(real,Q109210),i(s(fun(fun(num,cart(real,Q109210)),cart(real,Q109210)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109210)),cart(real,Q109210))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,Q109210)),F0))))),s(cart(real,Q109210),i(s(fun(fun(num,cart(real,Q109210)),cart(real,Q109210)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109210)),cart(real,Q109210))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,P0))))),s(fun(num,cart(real,Q109210)),F0))))) = s(cart(real,Q109210),i(s(fun(fun(num,cart(real,Q109210)),cart(real,Q109210)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109210)),cart(real,Q109210))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,P0))))),s(fun(num,cart(real,Q109210)),F0))) ) )).++fof(aVSUMu_INJECTION,axiom,(+ ! [Q109287,Q109292,F0,P0,S0] :+ ( ( p(s(bool,i(s(fun(fun(Q109287,bool),bool),finite),s(fun(Q109287,bool),S0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(Q109287,bool),bool),i(s(fun(Q109287,fun(fun(Q109287,bool),bool)),in),s(Q109287,X))),s(fun(Q109287,bool),S0))))+ => p(s(bool,i(s(fun(fun(Q109287,bool),bool),i(s(fun(Q109287,fun(fun(Q109287,bool),bool)),in),s(Q109287,i(s(fun(Q109287,Q109287),P0),s(Q109287,X))))),s(fun(Q109287,bool),S0)))) )+ & ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(Q109287,bool),bool),i(s(fun(Q109287,fun(fun(Q109287,bool),bool)),in),s(Q109287,X))),s(fun(Q109287,bool),S0))))+ & p(s(bool,i(s(fun(fun(Q109287,bool),bool),i(s(fun(Q109287,fun(fun(Q109287,bool),bool)),in),s(Q109287,Y))),s(fun(Q109287,bool),S0))))+ & s(Q109287,i(s(fun(Q109287,Q109287),P0),s(Q109287,X))) = s(Q109287,i(s(fun(Q109287,Q109287),P0),s(Q109287,Y))) )+ => s(Q109287,X) = s(Q109287,Y) ) )+ => s(cart(real,Q109292),i(s(fun(fun(Q109287,cart(real,Q109292)),cart(real,Q109292)),i(s(fun(fun(Q109287,bool),fun(fun(Q109287,cart(real,Q109292)),cart(real,Q109292))),vsum),s(fun(Q109287,bool),S0))),s(fun(Q109287,cart(real,Q109292)),i(s(fun(fun(Q109287,Q109287),fun(Q109287,cart(real,Q109292))),i(s(fun(fun(Q109287,cart(real,Q109292)),fun(fun(Q109287,Q109287),fun(Q109287,cart(real,Q109292)))),o),s(fun(Q109287,cart(real,Q109292)),F0))),s(fun(Q109287,Q109287),P0))))) = s(cart(real,Q109292),i(s(fun(fun(Q109287,cart(real,Q109292)),cart(real,Q109292)),i(s(fun(fun(Q109287,bool),fun(fun(Q109287,cart(real,Q109292)),cart(real,Q109292))),vsum),s(fun(Q109287,bool),S0))),s(fun(Q109287,cart(real,Q109292)),F0))) ) )).++fof(aVSUMu_SWAP,axiom,(+ ! [Q109341,Q109340,Q109337,U_2] :+ ( ! [F0,J0,I0] : s(cart(real,Q109337),i(s(fun(Q109341,cart(real,Q109337)),i(s(fun(Q109340,fun(Q109341,cart(real,Q109337))),i(s(fun(fun(Q109341,fun(Q109340,cart(real,Q109337))),fun(Q109340,fun(Q109341,cart(real,Q109337)))),U_2),s(fun(Q109341,fun(Q109340,cart(real,Q109337))),F0))),s(Q109340,J0))),s(Q109341,I0))) = s(cart(real,Q109337),i(s(fun(Q109340,cart(real,Q109337)),i(s(fun(Q109341,fun(Q109340,cart(real,Q109337))),F0),s(Q109341,I0))),s(Q109340,J0)))+ => ! [U_1] :+ ( ! [S0,F0,J0] : s(cart(real,Q109337),i(s(fun(Q109340,cart(real,Q109337)),i(s(fun(fun(Q109341,fun(Q109340,cart(real,Q109337))),fun(Q109340,cart(real,Q109337))),i(s(fun(fun(Q109341,bool),fun(fun(Q109341,fun(Q109340,cart(real,Q109337))),fun(Q109340,cart(real,Q109337)))),U_1),s(fun(Q109341,bool),S0))),s(fun(Q109341,fun(Q109340,cart(real,Q109337))),F0))),s(Q109340,J0))) = s(cart(real,Q109337),i(s(fun(fun(Q109341,cart(real,Q109337)),cart(real,Q109337)),i(s(fun(fun(Q109341,bool),fun(fun(Q109341,cart(real,Q109337)),cart(real,Q109337))),vsum),s(fun(Q109341,bool),S0))),s(fun(Q109341,cart(real,Q109337)),i(s(fun(Q109340,fun(Q109341,cart(real,Q109337))),i(s(fun(fun(Q109341,fun(Q109340,cart(real,Q109337))),fun(Q109340,fun(Q109341,cart(real,Q109337)))),U_2),s(fun(Q109341,fun(Q109340,cart(real,Q109337))),F0))),s(Q109340,J0)))))+ => ! [U_0] :+ ( ! [T0,F0,I0] : s(cart(real,Q109337),i(s(fun(Q109341,cart(real,Q109337)),i(s(fun(fun(Q109341,fun(Q109340,cart(real,Q109337))),fun(Q109341,cart(real,Q109337))),i(s(fun(fun(Q109340,bool),fun(fun(Q109341,fun(Q109340,cart(real,Q109337))),fun(Q109341,cart(real,Q109337)))),U_0),s(fun(Q109340,bool),T0))),s(fun(Q109341,fun(Q109340,cart(real,Q109337))),F0))),s(Q109341,I0))) = s(cart(real,Q109337),i(s(fun(fun(Q109340,cart(real,Q109337)),cart(real,Q109337)),i(s(fun(fun(Q109340,bool),fun(fun(Q109340,cart(real,Q109337)),cart(real,Q109337))),vsum),s(fun(Q109340,bool),T0))),s(fun(Q109340,cart(real,Q109337)),i(s(fun(Q109341,fun(Q109340,cart(real,Q109337))),F0),s(Q109341,I0)))))+ => ! [F0,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(Q109341,bool),bool),finite),s(fun(Q109341,bool),S0))))+ & p(s(bool,i(s(fun(fun(Q109340,bool),bool),finite),s(fun(Q109340,bool),T0)))) )+ => s(cart(real,Q109337),i(s(fun(fun(Q109341,cart(real,Q109337)),cart(real,Q109337)),i(s(fun(fun(Q109341,bool),fun(fun(Q109341,cart(real,Q109337)),cart(real,Q109337))),vsum),s(fun(Q109341,bool),S0))),s(fun(Q109341,cart(real,Q109337)),i(s(fun(fun(Q109341,fun(Q109340,cart(real,Q109337))),fun(Q109341,cart(real,Q109337))),i(s(fun(fun(Q109340,bool),fun(fun(Q109341,fun(Q109340,cart(real,Q109337))),fun(Q109341,cart(real,Q109337)))),U_0),s(fun(Q109340,bool),T0))),s(fun(Q109341,fun(Q109340,cart(real,Q109337))),F0))))) = s(cart(real,Q109337),i(s(fun(fun(Q109340,cart(real,Q109337)),cart(real,Q109337)),i(s(fun(fun(Q109340,bool),fun(fun(Q109340,cart(real,Q109337)),cart(real,Q109337))),vsum),s(fun(Q109340,bool),T0))),s(fun(Q109340,cart(real,Q109337)),i(s(fun(fun(Q109341,fun(Q109340,cart(real,Q109337))),fun(Q109340,cart(real,Q109337))),i(s(fun(fun(Q109341,bool),fun(fun(Q109341,fun(Q109340,cart(real,Q109337))),fun(Q109340,cart(real,Q109337)))),U_1),s(fun(Q109341,bool),S0))),s(fun(Q109341,fun(Q109340,cart(real,Q109337))),F0))))) ) ) ) ) )).++fof(aVSUMu_SWAPu_NUMSEG,axiom,(+ ! [Q109392,U_2] :+ ( ! [F0,J0,I0] : s(cart(real,Q109392),i(s(fun(num,cart(real,Q109392)),i(s(fun(num,fun(num,cart(real,Q109392))),i(s(fun(fun(num,fun(num,cart(real,Q109392))),fun(num,fun(num,cart(real,Q109392)))),U_2),s(fun(num,fun(num,cart(real,Q109392))),F0))),s(num,J0))),s(num,I0))) = s(cart(real,Q109392),i(s(fun(num,cart(real,Q109392)),i(s(fun(num,fun(num,cart(real,Q109392))),F0),s(num,I0))),s(num,J0)))+ => ! [U_1] :+ ( ! [F0,J0] : s(fun(num,cart(real,Q109392)),i(s(fun(num,fun(num,cart(real,Q109392))),i(s(fun(fun(num,fun(num,cart(real,Q109392))),fun(num,fun(num,cart(real,Q109392)))),U_1),s(fun(num,fun(num,cart(real,Q109392))),F0))),s(num,J0))) = s(fun(num,cart(real,Q109392)),i(s(fun(num,fun(num,cart(real,Q109392))),i(s(fun(fun(num,fun(num,cart(real,Q109392))),fun(num,fun(num,cart(real,Q109392)))),U_2),s(fun(num,fun(num,cart(real,Q109392))),F0))),s(num,J0)))+ => ! [U_0] :+ ( ! [C0,D0,F0,I0] : s(cart(real,Q109392),i(s(fun(num,cart(real,Q109392)),i(s(fun(fun(num,fun(num,cart(real,Q109392))),fun(num,cart(real,Q109392))),i(s(fun(num,fun(fun(num,fun(num,cart(real,Q109392))),fun(num,cart(real,Q109392)))),i(s(fun(num,fun(num,fun(fun(num,fun(num,cart(real,Q109392))),fun(num,cart(real,Q109392))))),U_0),s(num,C0))),s(num,D0))),s(fun(num,fun(num,cart(real,Q109392))),F0))),s(num,I0))) = s(cart(real,Q109392),i(s(fun(fun(num,cart(real,Q109392)),cart(real,Q109392)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109392)),cart(real,Q109392))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,C0))),s(num,D0))))),s(fun(num,cart(real,Q109392)),i(s(fun(num,fun(num,cart(real,Q109392))),F0),s(num,I0)))))+ => ! [A5,B0,C0,D0,F0] : s(cart(real,Q109392),i(s(fun(fun(num,cart(real,Q109392)),cart(real,Q109392)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109392)),cart(real,Q109392))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,A5))),s(num,B0))))),s(fun(num,cart(real,Q109392)),i(s(fun(fun(num,fun(num,cart(real,Q109392))),fun(num,cart(real,Q109392))),i(s(fun(num,fun(fun(num,fun(num,cart(real,Q109392))),fun(num,cart(real,Q109392)))),i(s(fun(num,fun(num,fun(fun(num,fun(num,cart(real,Q109392))),fun(num,cart(real,Q109392))))),U_0),s(num,C0))),s(num,D0))),s(fun(num,fun(num,cart(real,Q109392))),F0))))) = s(cart(real,Q109392),i(s(fun(fun(num,cart(real,Q109392)),cart(real,Q109392)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109392)),cart(real,Q109392))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,C0))),s(num,D0))))),s(fun(num,cart(real,Q109392)),i(s(fun(fun(num,fun(num,cart(real,Q109392))),fun(num,cart(real,Q109392))),i(s(fun(num,fun(fun(num,fun(num,cart(real,Q109392))),fun(num,cart(real,Q109392)))),i(s(fun(num,fun(num,fun(fun(num,fun(num,cart(real,Q109392))),fun(num,cart(real,Q109392))))),U_0),s(num,A5))),s(num,B0))),s(fun(num,fun(num,cart(real,Q109392))),i(s(fun(fun(num,fun(num,cart(real,Q109392))),fun(num,fun(num,cart(real,Q109392)))),U_1),s(fun(num,fun(num,cart(real,Q109392))),F0))))))) ) ) ) )).++fof(aVSUMu_ADDu_GEN,axiom,(+ ! [Q109481,Q109494,U_1] :+ ( ! [F0,G0,X] : s(cart(real,Q109494),i(s(fun(Q109481,cart(real,Q109494)),i(s(fun(fun(Q109481,cart(real,Q109494)),fun(Q109481,cart(real,Q109494))),i(s(fun(fun(Q109481,cart(real,Q109494)),fun(fun(Q109481,cart(real,Q109494)),fun(Q109481,cart(real,Q109494)))),U_1),s(fun(Q109481,cart(real,Q109494)),F0))),s(fun(Q109481,cart(real,Q109494)),G0))),s(Q109481,X))) = s(cart(real,Q109494),i(s(fun(cart(real,Q109494),cart(real,Q109494)),i(s(fun(cart(real,Q109494),fun(cart(real,Q109494),cart(real,Q109494))),vectoru_add),s(cart(real,Q109494),i(s(fun(Q109481,cart(real,Q109494)),F0),s(Q109481,X))))),s(cart(real,Q109494),i(s(fun(Q109481,cart(real,Q109494)),G0),s(Q109481,X)))))+ => ! [U_0] :+ ( ! [S0,F0,GENR_PVARR_286] :+ ( p(s(bool,i(s(fun(Q109481,bool),i(s(fun(fun(Q109481,cart(real,Q109494)),fun(Q109481,bool)),i(s(fun(fun(Q109481,bool),fun(fun(Q109481,cart(real,Q109494)),fun(Q109481,bool))),U_0),s(fun(Q109481,bool),S0))),s(fun(Q109481,cart(real,Q109494)),F0))),s(Q109481,GENR_PVARR_286))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(Q109481,bool),bool),i(s(fun(Q109481,fun(fun(Q109481,bool),bool)),in),s(Q109481,X))),s(fun(Q109481,bool),S0))))+ & s(cart(real,Q109494),i(s(fun(Q109481,cart(real,Q109494)),F0),s(Q109481,X))) != s(cart(real,Q109494),i(s(fun(num,cart(real,Q109494)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ & p(s(bool,i(s(fun(Q109481,bool),i(s(fun(bool,fun(Q109481,bool)),i(s(fun(Q109481,fun(bool,fun(Q109481,bool))),setspec),s(Q109481,GENR_PVARR_286))),s(bool,V))),s(Q109481,X)))) ) )+ => ! [F0,G0,S0] :+ ( ( p(s(bool,i(s(fun(fun(Q109481,bool),bool),finite),s(fun(Q109481,bool),i(s(fun(fun(Q109481,bool),fun(Q109481,bool)),gspec),s(fun(Q109481,bool),i(s(fun(fun(Q109481,cart(real,Q109494)),fun(Q109481,bool)),i(s(fun(fun(Q109481,bool),fun(fun(Q109481,cart(real,Q109494)),fun(Q109481,bool))),U_0),s(fun(Q109481,bool),S0))),s(fun(Q109481,cart(real,Q109494)),F0))))))))+ & p(s(bool,i(s(fun(fun(Q109481,bool),bool),finite),s(fun(Q109481,bool),i(s(fun(fun(Q109481,bool),fun(Q109481,bool)),gspec),s(fun(Q109481,bool),i(s(fun(fun(Q109481,cart(real,Q109494)),fun(Q109481,bool)),i(s(fun(fun(Q109481,bool),fun(fun(Q109481,cart(real,Q109494)),fun(Q109481,bool))),U_0),s(fun(Q109481,bool),S0))),s(fun(Q109481,cart(real,Q109494)),G0)))))))) )+ => s(cart(real,Q109494),i(s(fun(fun(Q109481,cart(real,Q109494)),cart(real,Q109494)),i(s(fun(fun(Q109481,bool),fun(fun(Q109481,cart(real,Q109494)),cart(real,Q109494))),vsum),s(fun(Q109481,bool),S0))),s(fun(Q109481,cart(real,Q109494)),i(s(fun(fun(Q109481,cart(real,Q109494)),fun(Q109481,cart(real,Q109494))),i(s(fun(fun(Q109481,cart(real,Q109494)),fun(fun(Q109481,cart(real,Q109494)),fun(Q109481,cart(real,Q109494)))),U_1),s(fun(Q109481,cart(real,Q109494)),F0))),s(fun(Q109481,cart(real,Q109494)),G0))))) = s(cart(real,Q109494),i(s(fun(cart(real,Q109494),cart(real,Q109494)),i(s(fun(cart(real,Q109494),fun(cart(real,Q109494),cart(real,Q109494))),vectoru_add),s(cart(real,Q109494),i(s(fun(fun(Q109481,cart(real,Q109494)),cart(real,Q109494)),i(s(fun(fun(Q109481,bool),fun(fun(Q109481,cart(real,Q109494)),cart(real,Q109494))),vsum),s(fun(Q109481,bool),S0))),s(fun(Q109481,cart(real,Q109494)),F0))))),s(cart(real,Q109494),i(s(fun(fun(Q109481,cart(real,Q109494)),cart(real,Q109494)),i(s(fun(fun(Q109481,bool),fun(fun(Q109481,cart(real,Q109494)),cart(real,Q109494))),vsum),s(fun(Q109481,bool),S0))),s(fun(Q109481,cart(real,Q109494)),G0))))) ) ) ) )).++fof(aVSUMu_CASESu_1,axiom,(+ ! [Q109577,Q109575,U_0] :+ ( ! [A5,X] :+ ? [V] :+ ( ( p(s(bool,V))+ <=> s(Q109575,X) = s(Q109575,A5) )+ & s(cart(real,Q109577),i(s(fun(Q109575,cart(real,Q109577)),i(s(fun(Q109575,fun(Q109575,cart(real,Q109577))),U_0),s(Q109575,A5))),s(Q109575,X))) = s(cart(real,Q109577),i(s(fun(cart(real,Q109577),cart(real,Q109577)),i(s(fun(cart(real,Q109577),fun(cart(real,Q109577),cart(real,Q109577))),i(s(fun(bool,fun(cart(real,Q109577),fun(cart(real,Q109577),cart(real,Q109577)))),cond),s(bool,V))),s(cart(real,Q109577),y))),s(cart(real,Q109577),i(s(fun(Q109575,cart(real,Q109577)),f),s(Q109575,X))))) )+ => ! [S0,A5] :+ ( ( p(s(bool,i(s(fun(fun(Q109575,bool),bool),finite),s(fun(Q109575,bool),S0))))+ & p(s(bool,i(s(fun(fun(Q109575,bool),bool),i(s(fun(Q109575,fun(fun(Q109575,bool),bool)),in),s(Q109575,A5))),s(fun(Q109575,bool),S0)))) )+ => s(cart(real,Q109577),i(s(fun(fun(Q109575,cart(real,Q109577)),cart(real,Q109577)),i(s(fun(fun(Q109575,bool),fun(fun(Q109575,cart(real,Q109577)),cart(real,Q109577))),vsum),s(fun(Q109575,bool),S0))),s(fun(Q109575,cart(real,Q109577)),i(s(fun(Q109575,fun(Q109575,cart(real,Q109577))),U_0),s(Q109575,A5))))) = s(cart(real,Q109577),i(s(fun(cart(real,Q109577),cart(real,Q109577)),i(s(fun(cart(real,Q109577),fun(cart(real,Q109577),cart(real,Q109577))),vectoru_add),s(cart(real,Q109577),i(s(fun(fun(Q109575,cart(real,Q109577)),cart(real,Q109577)),i(s(fun(fun(Q109575,bool),fun(fun(Q109575,cart(real,Q109577)),cart(real,Q109577))),vsum),s(fun(Q109575,bool),S0))),s(fun(Q109575,cart(real,Q109577)),f))))),s(cart(real,Q109577),i(s(fun(cart(real,Q109577),cart(real,Q109577)),i(s(fun(cart(real,Q109577),fun(cart(real,Q109577),cart(real,Q109577))),vectoru_sub),s(cart(real,Q109577),y))),s(cart(real,Q109577),i(s(fun(Q109575,cart(real,Q109577)),f),s(Q109575,A5))))))) ) ) )).++fof(aVSUMu_SINGu_NUMSEG,axiom,(+ ! [Q109587] : s(cart(real,Q109587),i(s(fun(fun(num,cart(real,Q109587)),cart(real,Q109587)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109587)),cart(real,Q109587))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,n))),s(num,n))))),s(fun(num,cart(real,Q109587)),f))) = s(cart(real,Q109587),i(s(fun(num,cart(real,Q109587)),f),s(num,n))) )).++fof(aVSUMu_1,axiom,(+ ! [Q109598] : s(cart(real,Q109598),i(s(fun(fun(num,cart(real,Q109598)),cart(real,Q109598)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109598)),cart(real,Q109598))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(fun(num,cart(real,Q109598)),f))) = s(cart(real,Q109598),i(s(fun(num,cart(real,Q109598)),f),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )).++fof(aVSUMu_2,axiom,(+ ! [Q109622,T0] : s(cart(real,Q109622),i(s(fun(fun(num,cart(real,Q109622)),cart(real,Q109622)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109622)),cart(real,Q109622))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(fun(num,cart(real,Q109622)),T0))) = s(cart(real,Q109622),i(s(fun(cart(real,Q109622),cart(real,Q109622)),i(s(fun(cart(real,Q109622),fun(cart(real,Q109622),cart(real,Q109622))),vectoru_add),s(cart(real,Q109622),i(s(fun(num,cart(real,Q109622)),T0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(real,Q109622),i(s(fun(num,cart(real,Q109622)),T0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) )).++fof(aVSUMu_3,axiom,(+ ! [Q109650,T0] : s(cart(real,Q109650),i(s(fun(fun(num,cart(real,Q109650)),cart(real,Q109650)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,Q109650)),cart(real,Q109650))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(fun(num,cart(real,Q109650)),T0))) = s(cart(real,Q109650),i(s(fun(cart(real,Q109650),cart(real,Q109650)),i(s(fun(cart(real,Q109650),fun(cart(real,Q109650),cart(real,Q109650))),vectoru_add),s(cart(real,Q109650),i(s(fun(num,cart(real,Q109650)),T0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(real,Q109650),i(s(fun(cart(real,Q109650),cart(real,Q109650)),i(s(fun(cart(real,Q109650),fun(cart(real,Q109650),cart(real,Q109650))),vectoru_add),s(cart(real,Q109650),i(s(fun(num,cart(real,Q109650)),T0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,Q109650),i(s(fun(num,cart(real,Q109650)),T0),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))) )).++fof(aVSUMu_PAIR,axiom,(+ ! [N,U_0] :+ ( ! [F0,I0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),U_0),s(fun(num,cart(real,N)),F0))),s(num,I0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(num,cart(real,N)),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,I0))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,I0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))+ => ! [F0,M0,N0] : s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,M0))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,N0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(fun(num,cart(real,N)),F0))) = s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),U_0),s(fun(num,cart(real,N)),F0))))) ) )).++fof(aVSUMu_PAIRu_0,axiom,(+ ! [N,U_0] :+ ( ! [F0,I0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),U_0),s(fun(num,cart(real,N)),F0))),s(num,I0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(num,cart(real,N)),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,I0))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,I0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))+ => ! [F0,N0] : s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,N0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(fun(num,cart(real,N)),F0))) = s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,N0))))),s(fun(num,cart(real,N)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,N))),U_0),s(fun(num,cart(real,N)),F0))))) ) )).++fof(abasis,axiom,(+ ! [Q109978,U_0] :+ ( ! [K0,I0] :+ ? [V] :+ ( ( p(s(bool,V))+ <=> s(num,I0) = s(num,K0) )+ & s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),U_0),s(num,K0))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,V))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) )+ => ! [K0] : s(cart(real,Q109978),i(s(fun(num,cart(real,Q109978)),basis),s(num,K0))) = s(cart(real,Q109978),i(s(fun(fun(num,real),cart(real,Q109978)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),U_0),s(num,K0))))) ) )).++fof(aNORMu_BASIS,axiom,(+ ! [N,K0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,K0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,K0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,K0))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )).++fof(aNORMu_BASISu_1,axiom,(+ ! [Q110060] : s(real,i(s(fun(cart(real,Q110060),real),vectoru_norm),s(cart(real,Q110060),i(s(fun(num,cart(real,Q110060)),basis),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )).++fof(aVECTORu_CHOOSEu_SIZE,axiom,(+ ! [N,C0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,C0))))+ => ? [X] : s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))) = s(real,C0) ) )).++fof(aVECTORu_CHOOSEu_DIST,axiom,(+ ! [N,X,E0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,E0))))+ => ? [Y] : s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),X))),s(cart(real,N),Y))))) = s(real,E0) ) )).++fof(aBASISu_INJ,axiom,(+ ! [N,I0,J0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,J0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,J0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ & s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0))) = s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,J0))) )+ => s(num,I0) = s(num,J0) ) )).++fof(aBASISu_NE,axiom,(+ ! [N,I0,J0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,J0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,J0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ & s(num,I0) != s(num,J0) )+ => s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0))) != s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,J0))) ) )).++fof(aBASISu_COMPONENT,axiom,(+ ! [N,K0,I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => ? [V] :+ ( ( p(s(bool,V))+ <=> s(num,I0) = s(num,K0) )+ & s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,K0))))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,V))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ) ) )).++fof(aBASISu_EXPANSION,axiom,(+ ! [N,U_0] :+ ( ! [X,I0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(real,N),fun(num,cart(real,N))),U_0),s(cart(real,N),X))),s(num,I0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0)))))+ => ! [X] : s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(fun(num,cart(real,N)),i(s(fun(cart(real,N),fun(num,cart(real,N))),U_0),s(cart(real,N),X))))) = s(cart(real,N),X) ) )).++fof(aBASISu_EXPANSIONu_UNIQUE,axiom,(+ ! [N,U_0] :+ ( ! [F0,I0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(fun(num,real),fun(num,cart(real,N))),U_0),s(fun(num,real),F0))),s(num,I0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(num,real),F0),s(num,I0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0)))))+ => ! [F0,X] :+ ( s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(fun(num,cart(real,N)),i(s(fun(fun(num,real),fun(num,cart(real,N))),U_0),s(fun(num,real),F0))))) = s(cart(real,N),X)+ <=> ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(real,i(s(fun(num,real),F0),s(num,I0))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))) ) ) ) )).++fof(aDOTu_BASIS,axiom,(+ ! [N,X,I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => ( s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0))))),s(cart(real,N),X))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0)))+ & s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0))))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))) ) ) )).++fof(aDOTu_BASISu_BASIS,axiom,(+ ! [N,I0,J0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,J0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,J0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => ? [V] :+ ( ( p(s(bool,V))+ <=> s(num,I0) = s(num,J0) )+ & s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,J0))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,V))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ) ) )).++fof(aDOTu_BASISu_BASISu_UNEQUAL,axiom,(+ ! [Q110508,I0,J0] :+ ( s(num,I0) != s(num,J0)+ => s(real,i(s(fun(cart(real,Q110508),real),i(s(fun(cart(real,Q110508),fun(cart(real,Q110508),real)),dot),s(cart(real,Q110508),i(s(fun(num,cart(real,Q110508)),basis),s(num,I0))))),s(cart(real,Q110508),i(s(fun(num,cart(real,Q110508)),basis),s(num,J0))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aBASISu_EQu_0,axiom,(+ ! [N,I0] :+ ( s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> ~ p(s(bool,i(s(fun(fun(num,bool),bool),i(s(fun(num,fun(fun(num,bool),bool)),in),s(num,I0))),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))))) ) )).++fof(aBASISu_NONZERO,axiom,(+ ! [N,K0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,K0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,K0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,K0))) != s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aVECTORu_EQu_LDOT,axiom,(+ ! [Q110589,Y,Z0] :+ ( ! [X] : s(real,i(s(fun(cart(real,Q110589),real),i(s(fun(cart(real,Q110589),fun(cart(real,Q110589),real)),dot),s(cart(real,Q110589),X))),s(cart(real,Q110589),Y))) = s(real,i(s(fun(cart(real,Q110589),real),i(s(fun(cart(real,Q110589),fun(cart(real,Q110589),real)),dot),s(cart(real,Q110589),X))),s(cart(real,Q110589),Z0)))+ <=> s(cart(real,Q110589),Y) = s(cart(real,Q110589),Z0) ) )).++fof(aVECTORu_EQu_RDOT,axiom,(+ ! [Q110616,X,Y] :+ ( ! [Z0] : s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),X))),s(cart(real,Q110616),Z0))) = s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),Y))),s(cart(real,Q110616),Z0)))+ <=> s(cart(real,Q110616),X) = s(cart(real,Q110616),Y) ) )).++fof(aorthogonal,axiom,(+ ! [Q110633,X,Y] :+ ( p(s(bool,i(s(fun(cart(real,Q110633),bool),i(s(fun(cart(real,Q110633),fun(cart(real,Q110633),bool)),orthogonal),s(cart(real,Q110633),X))),s(cart(real,Q110633),Y))))+ <=> s(real,i(s(fun(cart(real,Q110633),real),i(s(fun(cart(real,Q110633),fun(cart(real,Q110633),real)),dot),s(cart(real,Q110633),X))),s(cart(real,Q110633),Y))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aORTHOGONALu_0,axiom,(+ ! [Q110652,X] :+ ( p(s(bool,i(s(fun(cart(real,Q110652),bool),i(s(fun(cart(real,Q110652),fun(cart(real,Q110652),bool)),orthogonal),s(cart(real,Q110652),i(s(fun(num,cart(real,Q110652)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,Q110652),X))))+ & p(s(bool,i(s(fun(cart(real,Q110652),bool),i(s(fun(cart(real,Q110652),fun(cart(real,Q110652),bool)),orthogonal),s(cart(real,Q110652),X))),s(cart(real,Q110652),i(s(fun(num,cart(real,Q110652)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) ) )).++fof(aORTHOGONALu_REFL,axiom,(+ ! [Q110667,X] :+ ( p(s(bool,i(s(fun(cart(real,Q110667),bool),i(s(fun(cart(real,Q110667),fun(cart(real,Q110667),bool)),orthogonal),s(cart(real,Q110667),X))),s(cart(real,Q110667),X))))+ <=> s(cart(real,Q110667),X) = s(cart(real,Q110667),i(s(fun(num,cart(real,Q110667)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aORTHOGONALu_SYM,axiom,(+ ! [Q110681,X,Y] : s(bool,i(s(fun(cart(real,Q110681),bool),i(s(fun(cart(real,Q110681),fun(cart(real,Q110681),bool)),orthogonal),s(cart(real,Q110681),X))),s(cart(real,Q110681),Y))) = s(bool,i(s(fun(cart(real,Q110681),bool),i(s(fun(cart(real,Q110681),fun(cart(real,Q110681),bool)),orthogonal),s(cart(real,Q110681),Y))),s(cart(real,Q110681),X))) )).++fof(aORTHOGONALu_LNEG,axiom,(+ ! [Q110704,X,Y] : s(bool,i(s(fun(cart(real,Q110704),bool),i(s(fun(cart(real,Q110704),fun(cart(real,Q110704),bool)),orthogonal),s(cart(real,Q110704),i(s(fun(cart(real,Q110704),cart(real,Q110704)),vectoru_neg),s(cart(real,Q110704),X))))),s(cart(real,Q110704),Y))) = s(bool,i(s(fun(cart(real,Q110704),bool),i(s(fun(cart(real,Q110704),fun(cart(real,Q110704),bool)),orthogonal),s(cart(real,Q110704),X))),s(cart(real,Q110704),Y))) )).++fof(aORTHOGONALu_RNEG,axiom,(+ ! [Q110725,X,Y] : s(bool,i(s(fun(cart(real,Q110725),bool),i(s(fun(cart(real,Q110725),fun(cart(real,Q110725),bool)),orthogonal),s(cart(real,Q110725),X))),s(cart(real,Q110725),i(s(fun(cart(real,Q110725),cart(real,Q110725)),vectoru_neg),s(cart(real,Q110725),Y))))) = s(bool,i(s(fun(cart(real,Q110725),bool),i(s(fun(cart(real,Q110725),fun(cart(real,Q110725),bool)),orthogonal),s(cart(real,Q110725),X))),s(cart(real,Q110725),Y))) )).++fof(aORTHOGONALu_BASIS,axiom,(+ ! [N,X,I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0))))),s(cart(real,N),X))))+ <=> s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aORTHOGONALu_BASISu_BASIS,axiom,(+ ! [N,I0,J0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,J0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,J0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,J0))))))+ <=> s(num,I0) != s(num,J0) ) ) )).++fof(aORTHOGONALu_CLAUSESu_conjunct0,axiom,(+ ! [Q110833,A5] : p(s(bool,i(s(fun(cart(real,Q110833),bool),i(s(fun(cart(real,Q110833),fun(cart(real,Q110833),bool)),orthogonal),s(cart(real,Q110833),A5))),s(cart(real,Q110833),i(s(fun(num,cart(real,Q110833)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))) )).++fof(aORTHOGONALu_CLAUSESu_conjunct1,axiom,(+ ! [Q110858,A5,X,C0] :+ ( p(s(bool,i(s(fun(cart(real,Q110858),bool),i(s(fun(cart(real,Q110858),fun(cart(real,Q110858),bool)),orthogonal),s(cart(real,Q110858),A5))),s(cart(real,Q110858),X))))+ => p(s(bool,i(s(fun(cart(real,Q110858),bool),i(s(fun(cart(real,Q110858),fun(cart(real,Q110858),bool)),orthogonal),s(cart(real,Q110858),A5))),s(cart(real,Q110858),i(s(fun(cart(real,Q110858),cart(real,Q110858)),i(s(fun(real,fun(cart(real,Q110858),cart(real,Q110858))),r_),s(real,C0))),s(cart(real,Q110858),X)))))) ) )).++fof(aORTHOGONALu_CLAUSESu_conjunct2,axiom,(+ ! [Q111053,A5,X] :+ ( p(s(bool,i(s(fun(cart(real,Q111053),bool),i(s(fun(cart(real,Q111053),fun(cart(real,Q111053),bool)),orthogonal),s(cart(real,Q111053),A5))),s(cart(real,Q111053),X))))+ => p(s(bool,i(s(fun(cart(real,Q111053),bool),i(s(fun(cart(real,Q111053),fun(cart(real,Q111053),bool)),orthogonal),s(cart(real,Q111053),A5))),s(cart(real,Q111053),i(s(fun(cart(real,Q111053),cart(real,Q111053)),vectoru_neg),s(cart(real,Q111053),X)))))) ) )).++fof(aORTHOGONALu_CLAUSESu_conjunct3,axiom,(+ ! [Q111054,A5,X,Y] :+ ( ( p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),X))))+ & p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),Y)))) )+ => p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),i(s(fun(cart(real,Q111054),cart(real,Q111054)),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),cart(real,Q111054))),vectoru_add),s(cart(real,Q111054),X))),s(cart(real,Q111054),Y)))))) ) )).++fof(aORTHOGONALu_CLAUSESu_conjunct4,axiom,(+ ! [Q111055,A5,X,Y] :+ ( ( p(s(bool,i(s(fun(cart(real,Q111055),bool),i(s(fun(cart(real,Q111055),fun(cart(real,Q111055),bool)),orthogonal),s(cart(real,Q111055),A5))),s(cart(real,Q111055),X))))+ & p(s(bool,i(s(fun(cart(real,Q111055),bool),i(s(fun(cart(real,Q111055),fun(cart(real,Q111055),bool)),orthogonal),s(cart(real,Q111055),A5))),s(cart(real,Q111055),Y)))) )+ => p(s(bool,i(s(fun(cart(real,Q111055),bool),i(s(fun(cart(real,Q111055),fun(cart(real,Q111055),bool)),orthogonal),s(cart(real,Q111055),A5))),s(cart(real,Q111055),i(s(fun(cart(real,Q111055),cart(real,Q111055)),i(s(fun(cart(real,Q111055),fun(cart(real,Q111055),cart(real,Q111055))),vectoru_sub),s(cart(real,Q111055),X))),s(cart(real,Q111055),Y)))))) ) )).++fof(aORTHOGONALu_CLAUSESu_conjunct5,axiom,(+ ! [Q110949,A5] : p(s(bool,i(s(fun(cart(real,Q110949),bool),i(s(fun(cart(real,Q110949),fun(cart(real,Q110949),bool)),orthogonal),s(cart(real,Q110949),i(s(fun(num,cart(real,Q110949)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,Q110949),A5)))) )).++fof(aORTHOGONALu_CLAUSESu_conjunct6,axiom,(+ ! [Q110968,A5,X,C0] :+ ( p(s(bool,i(s(fun(cart(real,Q110968),bool),i(s(fun(cart(real,Q110968),fun(cart(real,Q110968),bool)),orthogonal),s(cart(real,Q110968),X))),s(cart(real,Q110968),A5))))+ => p(s(bool,i(s(fun(cart(real,Q110968),bool),i(s(fun(cart(real,Q110968),fun(cart(real,Q110968),bool)),orthogonal),s(cart(real,Q110968),i(s(fun(cart(real,Q110968),cart(real,Q110968)),i(s(fun(real,fun(cart(real,Q110968),cart(real,Q110968))),r_),s(real,C0))),s(cart(real,Q110968),X))))),s(cart(real,Q110968),A5)))) ) )).++fof(aORTHOGONALu_CLAUSESu_conjunct7,axiom,(+ ! [Q111056,A5,X] :+ ( p(s(bool,i(s(fun(cart(real,Q111056),bool),i(s(fun(cart(real,Q111056),fun(cart(real,Q111056),bool)),orthogonal),s(cart(real,Q111056),X))),s(cart(real,Q111056),A5))))+ => p(s(bool,i(s(fun(cart(real,Q111056),bool),i(s(fun(cart(real,Q111056),fun(cart(real,Q111056),bool)),orthogonal),s(cart(real,Q111056),i(s(fun(cart(real,Q111056),cart(real,Q111056)),vectoru_neg),s(cart(real,Q111056),X))))),s(cart(real,Q111056),A5)))) ) )).++fof(aORTHOGONALu_CLAUSESu_conjunct8,axiom,(+ ! [Q111057,A5,X,Y] :+ ( ( p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),X))),s(cart(real,Q111057),A5))))+ & p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),Y))),s(cart(real,Q111057),A5)))) )+ => p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),i(s(fun(cart(real,Q111057),cart(real,Q111057)),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),cart(real,Q111057))),vectoru_add),s(cart(real,Q111057),X))),s(cart(real,Q111057),Y))))),s(cart(real,Q111057),A5)))) ) )).++fof(aORTHOGONALu_CLAUSESu_conjunct9,axiom,(+ ! [Q111058,A5,X,Y] :+ ( ( p(s(bool,i(s(fun(cart(real,Q111058),bool),i(s(fun(cart(real,Q111058),fun(cart(real,Q111058),bool)),orthogonal),s(cart(real,Q111058),X))),s(cart(real,Q111058),A5))))+ & p(s(bool,i(s(fun(cart(real,Q111058),bool),i(s(fun(cart(real,Q111058),fun(cart(real,Q111058),bool)),orthogonal),s(cart(real,Q111058),Y))),s(cart(real,Q111058),A5)))) )+ => p(s(bool,i(s(fun(cart(real,Q111058),bool),i(s(fun(cart(real,Q111058),fun(cart(real,Q111058),bool)),orthogonal),s(cart(real,Q111058),i(s(fun(cart(real,Q111058),cart(real,Q111058)),i(s(fun(cart(real,Q111058),fun(cart(real,Q111058),cart(real,Q111058))),vectoru_sub),s(cart(real,Q111058),X))),s(cart(real,Q111058),Y))))),s(cart(real,Q111058),A5)))) ) )).++fof(aORTHOGONALu_RVSUM,axiom,(+ ! [A,N,F0,S0,X] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),S0))))+ & ! [Y] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,Y))),s(fun(A,bool),S0))))+ => p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),X))),s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,Y)))))) ) )+ => p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),X))),s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),F0)))))) ) )).++fof(aORTHOGONALu_LVSUM,axiom,(+ ! [A,N,F0,S0,Y] :+ ( ( p(s(bool,i(s(fun(fun(A,bool),bool),finite),s(fun(A,bool),S0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(A,fun(fun(A,bool),bool)),in),s(A,X))),s(fun(A,bool),S0))))+ => p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),i(s(fun(A,cart(real,N)),F0),s(A,X))))),s(cart(real,N),Y)))) ) )+ => p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),i(s(fun(fun(A,cart(real,N)),cart(real,N)),i(s(fun(fun(A,bool),fun(fun(A,cart(real,N)),cart(real,N))),vsum),s(fun(A,bool),S0))),s(fun(A,cart(real,N)),F0))))),s(cart(real,N),Y)))) ) )).++fof(aVECTORu_1,axiom,(+ ! [A] : s(A,i(s(fun(num,A),i(s(fun(cart(A,n10),fun(num,A)),d_),s(cart(A,n10),i(s(fun(list(A),cart(A,n10)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,x))),s(list(A),nil))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(A,x) )).++fof(aVECTORu_2u_conjunct0,axiom,(+ ! [A] : s(A,i(s(fun(num,A),i(s(fun(cart(A,n20),fun(num,A)),d_),s(cart(A,n20),i(s(fun(list(A),cart(A,n20)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,x))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,y))),s(list(A),nil))))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(A,x) )).++fof(aVECTORu_2u_conjunct1,axiom,(+ ! [A] : s(A,i(s(fun(num,A),i(s(fun(cart(A,n20),fun(num,A)),d_),s(cart(A,n20),i(s(fun(list(A),cart(A,n20)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,x))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,y))),s(list(A),nil))))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(A,y) )).++fof(aVECTORu_3u_conjunct0,axiom,(+ ! [A] : s(A,i(s(fun(num,A),i(s(fun(cart(A,n3),fun(num,A)),d_),s(cart(A,n3),i(s(fun(list(A),cart(A,n3)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,x))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,y))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,z))),s(list(A),nil))))))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(A,x) )).++fof(aVECTORu_3u_conjunct1,axiom,(+ ! [A] : s(A,i(s(fun(num,A),i(s(fun(cart(A,n3),fun(num,A)),d_),s(cart(A,n3),i(s(fun(list(A),cart(A,n3)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,x))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,y))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,z))),s(list(A),nil))))))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(A,y) )).++fof(aVECTORu_3u_conjunct2,axiom,(+ ! [A] : s(A,i(s(fun(num,A),i(s(fun(cart(A,n3),fun(num,A)),d_),s(cart(A,n3),i(s(fun(list(A),cart(A,n3)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,x))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,y))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,z))),s(list(A),nil))))))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(A,z) )).++fof(aFORALLu_VECTORu_1,axiom,(+ ! [A] :+ ( ! [V] : p(s(bool,i(s(fun(cart(A,n10),bool),p0),s(cart(A,n10),V))))+ <=> ! [X] : p(s(bool,i(s(fun(cart(A,n10),bool),p0),s(cart(A,n10),i(s(fun(list(A),cart(A,n10)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,X))),s(list(A),nil)))))))) ) )).++fof(aFORALLu_VECTORu_2,axiom,(+ ! [A] :+ ( ! [V] : p(s(bool,i(s(fun(cart(A,n20),bool),p0),s(cart(A,n20),V))))+ <=> ! [X,Y] : p(s(bool,i(s(fun(cart(A,n20),bool),p0),s(cart(A,n20),i(s(fun(list(A),cart(A,n20)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,X))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,Y))),s(list(A),nil)))))))))) ) )).++fof(aFORALLu_VECTORu_3,axiom,(+ ! [A] :+ ( ! [V] : p(s(bool,i(s(fun(cart(A,n3),bool),p0),s(cart(A,n3),V))))+ <=> ! [X,Y,Z0] : p(s(bool,i(s(fun(cart(A,n3),bool),p0),s(cart(A,n3),i(s(fun(list(A),cart(A,n3)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,X))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,Y))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,Z0))),s(list(A),nil)))))))))))) ) )).++fof(aEXISTSu_VECTORu_1,axiom,(+ ! [A] :+ ( ? [V] : p(s(bool,i(s(fun(cart(A,n10),bool),p0),s(cart(A,n10),V))))+ <=> ? [X] : p(s(bool,i(s(fun(cart(A,n10),bool),p0),s(cart(A,n10),i(s(fun(list(A),cart(A,n10)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,X))),s(list(A),nil)))))))) ) )).++fof(aEXISTSu_VECTORu_2,axiom,(+ ! [A] :+ ( ? [V] : p(s(bool,i(s(fun(cart(A,n20),bool),p0),s(cart(A,n20),V))))+ <=> ? [X,Y] : p(s(bool,i(s(fun(cart(A,n20),bool),p0),s(cart(A,n20),i(s(fun(list(A),cart(A,n20)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,X))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,Y))),s(list(A),nil)))))))))) ) )).++fof(aEXISTSu_VECTORu_3,axiom,(+ ! [A] :+ ( ? [V] : p(s(bool,i(s(fun(cart(A,n3),bool),p0),s(cart(A,n3),V))))+ <=> ? [X,Y,Z0] : p(s(bool,i(s(fun(cart(A,n3),bool),p0),s(cart(A,n3),i(s(fun(list(A),cart(A,n3)),vector),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,X))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,Y))),s(list(A),i(s(fun(list(A),list(A)),i(s(fun(A,fun(list(A),list(A))),cons),s(A,Z0))),s(list(A),nil)))))))))))) ) )).++fof(alinear,axiom,(+ ! [N,M,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ <=> ( ! [X,Y] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(cart(real,M),fun(cart(real,M),cart(real,M))),vectoru_add),s(cart(real,M),X))),s(cart(real,M),Y))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))))+ & ! [C0,X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(real,fun(cart(real,M),cart(real,M))),r_),s(real,C0))),s(cart(real,M),X))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) ) ) )).++fof(aLINEARu_COMPOSEu_CMUL,axiom,(+ ! [Q111564,Q111562,U_0] :+ ( ! [C0,F0,X] : s(cart(real,Q111562),i(s(fun(cart(real,Q111564),cart(real,Q111562)),i(s(fun(fun(cart(real,Q111564),cart(real,Q111562)),fun(cart(real,Q111564),cart(real,Q111562))),i(s(fun(real,fun(fun(cart(real,Q111564),cart(real,Q111562)),fun(cart(real,Q111564),cart(real,Q111562)))),U_0),s(real,C0))),s(fun(cart(real,Q111564),cart(real,Q111562)),F0))),s(cart(real,Q111564),X))) = s(cart(real,Q111562),i(s(fun(cart(real,Q111562),cart(real,Q111562)),i(s(fun(real,fun(cart(real,Q111562),cart(real,Q111562))),r_),s(real,C0))),s(cart(real,Q111562),i(s(fun(cart(real,Q111564),cart(real,Q111562)),F0),s(cart(real,Q111564),X)))))+ => ! [F0,C0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q111564),cart(real,Q111562)),bool),linear),s(fun(cart(real,Q111564),cart(real,Q111562)),F0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q111564),cart(real,Q111562)),bool),linear),s(fun(cart(real,Q111564),cart(real,Q111562)),i(s(fun(fun(cart(real,Q111564),cart(real,Q111562)),fun(cart(real,Q111564),cart(real,Q111562))),i(s(fun(real,fun(fun(cart(real,Q111564),cart(real,Q111562)),fun(cart(real,Q111564),cart(real,Q111562)))),U_0),s(real,C0))),s(fun(cart(real,Q111564),cart(real,Q111562)),F0)))))) ) ) )).++fof(aLINEARu_COMPOSEu_NEG,axiom,(+ ! [Q111583,Q111590,U_0] :+ ( ! [F0,X] : s(cart(real,Q111590),i(s(fun(cart(real,Q111583),cart(real,Q111590)),i(s(fun(fun(cart(real,Q111583),cart(real,Q111590)),fun(cart(real,Q111583),cart(real,Q111590))),U_0),s(fun(cart(real,Q111583),cart(real,Q111590)),F0))),s(cart(real,Q111583),X))) = s(cart(real,Q111590),i(s(fun(cart(real,Q111590),cart(real,Q111590)),vectoru_neg),s(cart(real,Q111590),i(s(fun(cart(real,Q111583),cart(real,Q111590)),F0),s(cart(real,Q111583),X)))))+ => ! [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q111583),cart(real,Q111590)),bool),linear),s(fun(cart(real,Q111583),cart(real,Q111590)),F0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q111583),cart(real,Q111590)),bool),linear),s(fun(cart(real,Q111583),cart(real,Q111590)),i(s(fun(fun(cart(real,Q111583),cart(real,Q111590)),fun(cart(real,Q111583),cart(real,Q111590))),U_0),s(fun(cart(real,Q111583),cart(real,Q111590)),F0)))))) ) ) )).++fof(aLINEARu_COMPOSEu_ADD,axiom,(+ ! [Q111612,Q111621,U_0] :+ ( ! [F0,G0,X] : s(cart(real,Q111621),i(s(fun(cart(real,Q111612),cart(real,Q111621)),i(s(fun(fun(cart(real,Q111612),cart(real,Q111621)),fun(cart(real,Q111612),cart(real,Q111621))),i(s(fun(fun(cart(real,Q111612),cart(real,Q111621)),fun(fun(cart(real,Q111612),cart(real,Q111621)),fun(cart(real,Q111612),cart(real,Q111621)))),U_0),s(fun(cart(real,Q111612),cart(real,Q111621)),F0))),s(fun(cart(real,Q111612),cart(real,Q111621)),G0))),s(cart(real,Q111612),X))) = s(cart(real,Q111621),i(s(fun(cart(real,Q111621),cart(real,Q111621)),i(s(fun(cart(real,Q111621),fun(cart(real,Q111621),cart(real,Q111621))),vectoru_add),s(cart(real,Q111621),i(s(fun(cart(real,Q111612),cart(real,Q111621)),F0),s(cart(real,Q111612),X))))),s(cart(real,Q111621),i(s(fun(cart(real,Q111612),cart(real,Q111621)),G0),s(cart(real,Q111612),X)))))+ => ! [F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q111612),cart(real,Q111621)),bool),linear),s(fun(cart(real,Q111612),cart(real,Q111621)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q111612),cart(real,Q111621)),bool),linear),s(fun(cart(real,Q111612),cart(real,Q111621)),G0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q111612),cart(real,Q111621)),bool),linear),s(fun(cart(real,Q111612),cart(real,Q111621)),i(s(fun(fun(cart(real,Q111612),cart(real,Q111621)),fun(cart(real,Q111612),cart(real,Q111621))),i(s(fun(fun(cart(real,Q111612),cart(real,Q111621)),fun(fun(cart(real,Q111612),cart(real,Q111621)),fun(cart(real,Q111612),cart(real,Q111621)))),U_0),s(fun(cart(real,Q111612),cart(real,Q111621)),F0))),s(fun(cart(real,Q111612),cart(real,Q111621)),G0)))))) ) ) )).++fof(aLINEARu_COMPOSEu_SUB,axiom,(+ ! [Q111643,Q111652,U_0] :+ ( ! [F0,G0,X] : s(cart(real,Q111652),i(s(fun(cart(real,Q111643),cart(real,Q111652)),i(s(fun(fun(cart(real,Q111643),cart(real,Q111652)),fun(cart(real,Q111643),cart(real,Q111652))),i(s(fun(fun(cart(real,Q111643),cart(real,Q111652)),fun(fun(cart(real,Q111643),cart(real,Q111652)),fun(cart(real,Q111643),cart(real,Q111652)))),U_0),s(fun(cart(real,Q111643),cart(real,Q111652)),F0))),s(fun(cart(real,Q111643),cart(real,Q111652)),G0))),s(cart(real,Q111643),X))) = s(cart(real,Q111652),i(s(fun(cart(real,Q111652),cart(real,Q111652)),i(s(fun(cart(real,Q111652),fun(cart(real,Q111652),cart(real,Q111652))),vectoru_sub),s(cart(real,Q111652),i(s(fun(cart(real,Q111643),cart(real,Q111652)),F0),s(cart(real,Q111643),X))))),s(cart(real,Q111652),i(s(fun(cart(real,Q111643),cart(real,Q111652)),G0),s(cart(real,Q111643),X)))))+ => ! [F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q111643),cart(real,Q111652)),bool),linear),s(fun(cart(real,Q111643),cart(real,Q111652)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q111643),cart(real,Q111652)),bool),linear),s(fun(cart(real,Q111643),cart(real,Q111652)),G0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q111643),cart(real,Q111652)),bool),linear),s(fun(cart(real,Q111643),cart(real,Q111652)),i(s(fun(fun(cart(real,Q111643),cart(real,Q111652)),fun(cart(real,Q111643),cart(real,Q111652))),i(s(fun(fun(cart(real,Q111643),cart(real,Q111652)),fun(fun(cart(real,Q111643),cart(real,Q111652)),fun(cart(real,Q111643),cart(real,Q111652)))),U_0),s(fun(cart(real,Q111643),cart(real,Q111652)),F0))),s(fun(cart(real,Q111643),cart(real,Q111652)),G0)))))) ) ) )).++fof(aLINEARu_COMPOSE,axiom,(+ ! [Q111672,Q111668,Q111669,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q111668),cart(real,Q111669)),bool),linear),s(fun(cart(real,Q111668),cart(real,Q111669)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q111669),cart(real,Q111672)),bool),linear),s(fun(cart(real,Q111669),cart(real,Q111672)),G0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q111668),cart(real,Q111672)),bool),linear),s(fun(cart(real,Q111668),cart(real,Q111672)),i(s(fun(fun(cart(real,Q111668),cart(real,Q111669)),fun(cart(real,Q111668),cart(real,Q111672))),i(s(fun(fun(cart(real,Q111669),cart(real,Q111672)),fun(fun(cart(real,Q111668),cart(real,Q111669)),fun(cart(real,Q111668),cart(real,Q111672)))),o),s(fun(cart(real,Q111669),cart(real,Q111672)),G0))),s(fun(cart(real,Q111668),cart(real,Q111669)),F0)))))) ) )).++fof(aLINEARu_ID,axiom,(+ ! [Q111683,U_0] :+ ( ! [X] : s(cart(real,Q111683),i(s(fun(cart(real,Q111683),cart(real,Q111683)),U_0),s(cart(real,Q111683),X))) = s(cart(real,Q111683),X)+ => p(s(bool,i(s(fun(fun(cart(real,Q111683),cart(real,Q111683)),bool),linear),s(fun(cart(real,Q111683),cart(real,Q111683)),U_0)))) ) )).++fof(aLINEARu_I,axiom,(+ ! [Q111690] : p(s(bool,i(s(fun(fun(cart(real,Q111690),cart(real,Q111690)),bool),linear),s(fun(cart(real,Q111690),cart(real,Q111690)),i1)))) )).++fof(aLINEARu_ZERO,axiom,(+ ! [Q111694,Q111699,U_0] :+ ( ! [X] : s(cart(real,Q111699),i(s(fun(cart(real,Q111694),cart(real,Q111699)),U_0),s(cart(real,Q111694),X))) = s(cart(real,Q111699),i(s(fun(num,cart(real,Q111699)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => p(s(bool,i(s(fun(fun(cart(real,Q111694),cart(real,Q111699)),bool),linear),s(fun(cart(real,Q111694),cart(real,Q111699)),U_0)))) ) )).++fof(aLINEARu_NEGATION,axiom,(+ ! [Q111705] : p(s(bool,i(s(fun(fun(cart(real,Q111705),cart(real,Q111705)),bool),linear),s(fun(cart(real,Q111705),cart(real,Q111705)),vectoru_neg)))) )).++fof(aLINEARu_COMPOSEu_VSUM,axiom,(+ ! [Q111747,Q111736,Q111733,U_1] :+ ( ! [F0,X,A5] : s(cart(real,Q111733),i(s(fun(Q111747,cart(real,Q111733)),i(s(fun(cart(real,Q111736),fun(Q111747,cart(real,Q111733))),i(s(fun(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),fun(cart(real,Q111736),fun(Q111747,cart(real,Q111733)))),U_1),s(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),F0))),s(cart(real,Q111736),X))),s(Q111747,A5))) = s(cart(real,Q111733),i(s(fun(cart(real,Q111736),cart(real,Q111733)),i(s(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),F0),s(Q111747,A5))),s(cart(real,Q111736),X)))+ => ! [U_0] :+ ( ! [S0,F0,X] : s(cart(real,Q111733),i(s(fun(cart(real,Q111736),cart(real,Q111733)),i(s(fun(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),fun(cart(real,Q111736),cart(real,Q111733))),i(s(fun(fun(Q111747,bool),fun(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),fun(cart(real,Q111736),cart(real,Q111733)))),U_0),s(fun(Q111747,bool),S0))),s(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),F0))),s(cart(real,Q111736),X))) = s(cart(real,Q111733),i(s(fun(fun(Q111747,cart(real,Q111733)),cart(real,Q111733)),i(s(fun(fun(Q111747,bool),fun(fun(Q111747,cart(real,Q111733)),cart(real,Q111733))),vsum),s(fun(Q111747,bool),S0))),s(fun(Q111747,cart(real,Q111733)),i(s(fun(cart(real,Q111736),fun(Q111747,cart(real,Q111733))),i(s(fun(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),fun(cart(real,Q111736),fun(Q111747,cart(real,Q111733)))),U_1),s(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),F0))),s(cart(real,Q111736),X)))))+ => ! [F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(Q111747,bool),bool),finite),s(fun(Q111747,bool),S0))))+ & ! [A5] :+ ( p(s(bool,i(s(fun(fun(Q111747,bool),bool),i(s(fun(Q111747,fun(fun(Q111747,bool),bool)),in),s(Q111747,A5))),s(fun(Q111747,bool),S0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q111736),cart(real,Q111733)),bool),linear),s(fun(cart(real,Q111736),cart(real,Q111733)),i(s(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),F0),s(Q111747,A5)))))) ) )+ => p(s(bool,i(s(fun(fun(cart(real,Q111736),cart(real,Q111733)),bool),linear),s(fun(cart(real,Q111736),cart(real,Q111733)),i(s(fun(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),fun(cart(real,Q111736),cart(real,Q111733))),i(s(fun(fun(Q111747,bool),fun(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),fun(cart(real,Q111736),cart(real,Q111733)))),U_0),s(fun(Q111747,bool),S0))),s(fun(Q111747,fun(cart(real,Q111736),cart(real,Q111733))),F0)))))) ) ) ) )).++fof(aLINEARu_VMULu_COMPONENT,axiom,(+ ! [M,N,Q111786,U_0] :+ ( ! [F0,K0,V,X] : s(cart(real,Q111786),i(s(fun(cart(real,M),cart(real,Q111786)),i(s(fun(cart(real,Q111786),fun(cart(real,M),cart(real,Q111786))),i(s(fun(num,fun(cart(real,Q111786),fun(cart(real,M),cart(real,Q111786)))),i(s(fun(fun(cart(real,M),cart(real,N)),fun(num,fun(cart(real,Q111786),fun(cart(real,M),cart(real,Q111786))))),U_0),s(fun(cart(real,M),cart(real,N)),F0))),s(num,K0))),s(cart(real,Q111786),V))),s(cart(real,M),X))) = s(cart(real,Q111786),i(s(fun(cart(real,Q111786),cart(real,Q111786)),i(s(fun(real,fun(cart(real,Q111786),cart(real,Q111786))),r_),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))),s(num,K0))))),s(cart(real,Q111786),V)))+ => ! [F0,V,K0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,K0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,K0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => p(s(bool,i(s(fun(fun(cart(real,M),cart(real,Q111786)),bool),linear),s(fun(cart(real,M),cart(real,Q111786)),i(s(fun(cart(real,Q111786),fun(cart(real,M),cart(real,Q111786))),i(s(fun(num,fun(cart(real,Q111786),fun(cart(real,M),cart(real,Q111786)))),i(s(fun(fun(cart(real,M),cart(real,N)),fun(num,fun(cart(real,Q111786),fun(cart(real,M),cart(real,Q111786))))),U_0),s(fun(cart(real,M),cart(real,N)),F0))),s(num,K0))),s(cart(real,Q111786),V)))))) ) ) )).++fof(aLINEARu_0,axiom,(+ ! [Q111807,Q111809,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q111807),cart(real,Q111809)),bool),linear),s(fun(cart(real,Q111807),cart(real,Q111809)),F0))))+ => s(cart(real,Q111809),i(s(fun(cart(real,Q111807),cart(real,Q111809)),F0),s(cart(real,Q111807),i(s(fun(num,cart(real,Q111807)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(real,Q111809),i(s(fun(num,cart(real,Q111809)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aLINEARu_CMUL,axiom,(+ ! [Q111837,Q111834,F0,C0,X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q111834),cart(real,Q111837)),bool),linear),s(fun(cart(real,Q111834),cart(real,Q111837)),F0))))+ => s(cart(real,Q111837),i(s(fun(cart(real,Q111834),cart(real,Q111837)),F0),s(cart(real,Q111834),i(s(fun(cart(real,Q111834),cart(real,Q111834)),i(s(fun(real,fun(cart(real,Q111834),cart(real,Q111834))),r_),s(real,C0))),s(cart(real,Q111834),X))))) = s(cart(real,Q111837),i(s(fun(cart(real,Q111837),cart(real,Q111837)),i(s(fun(real,fun(cart(real,Q111837),cart(real,Q111837))),r_),s(real,C0))),s(cart(real,Q111837),i(s(fun(cart(real,Q111834),cart(real,Q111837)),F0),s(cart(real,Q111834),X))))) ) )).++fof(aLINEARu_NEG,axiom,(+ ! [Q111863,Q111862,F0,X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q111862),cart(real,Q111863)),bool),linear),s(fun(cart(real,Q111862),cart(real,Q111863)),F0))))+ => s(cart(real,Q111863),i(s(fun(cart(real,Q111862),cart(real,Q111863)),F0),s(cart(real,Q111862),i(s(fun(cart(real,Q111862),cart(real,Q111862)),vectoru_neg),s(cart(real,Q111862),X))))) = s(cart(real,Q111863),i(s(fun(cart(real,Q111863),cart(real,Q111863)),vectoru_neg),s(cart(real,Q111863),i(s(fun(cart(real,Q111862),cart(real,Q111863)),F0),s(cart(real,Q111862),X))))) ) )).++fof(aLINEARu_ADD,axiom,(+ ! [Q111897,Q111896,F0,X,Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q111896),cart(real,Q111897)),bool),linear),s(fun(cart(real,Q111896),cart(real,Q111897)),F0))))+ => s(cart(real,Q111897),i(s(fun(cart(real,Q111896),cart(real,Q111897)),F0),s(cart(real,Q111896),i(s(fun(cart(real,Q111896),cart(real,Q111896)),i(s(fun(cart(real,Q111896),fun(cart(real,Q111896),cart(real,Q111896))),vectoru_add),s(cart(real,Q111896),X))),s(cart(real,Q111896),Y))))) = s(cart(real,Q111897),i(s(fun(cart(real,Q111897),cart(real,Q111897)),i(s(fun(cart(real,Q111897),fun(cart(real,Q111897),cart(real,Q111897))),vectoru_add),s(cart(real,Q111897),i(s(fun(cart(real,Q111896),cart(real,Q111897)),F0),s(cart(real,Q111896),X))))),s(cart(real,Q111897),i(s(fun(cart(real,Q111896),cart(real,Q111897)),F0),s(cart(real,Q111896),Y))))) ) )).++fof(aLINEARu_SUB,axiom,(+ ! [Q111931,Q111930,F0,X,Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q111930),cart(real,Q111931)),bool),linear),s(fun(cart(real,Q111930),cart(real,Q111931)),F0))))+ => s(cart(real,Q111931),i(s(fun(cart(real,Q111930),cart(real,Q111931)),F0),s(cart(real,Q111930),i(s(fun(cart(real,Q111930),cart(real,Q111930)),i(s(fun(cart(real,Q111930),fun(cart(real,Q111930),cart(real,Q111930))),vectoru_sub),s(cart(real,Q111930),X))),s(cart(real,Q111930),Y))))) = s(cart(real,Q111931),i(s(fun(cart(real,Q111931),cart(real,Q111931)),i(s(fun(cart(real,Q111931),fun(cart(real,Q111931),cart(real,Q111931))),vectoru_sub),s(cart(real,Q111931),i(s(fun(cart(real,Q111930),cart(real,Q111931)),F0),s(cart(real,Q111930),X))))),s(cart(real,Q111931),i(s(fun(cart(real,Q111930),cart(real,Q111931)),F0),s(cart(real,Q111930),Y))))) ) )).++fof(aLINEARu_VSUM,axiom,(+ ! [Q111967,Q111971,Q111963,F0,G0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q111963),cart(real,Q111967)),bool),linear),s(fun(cart(real,Q111963),cart(real,Q111967)),F0))))+ & p(s(bool,i(s(fun(fun(Q111971,bool),bool),finite),s(fun(Q111971,bool),S0)))) )+ => s(cart(real,Q111967),i(s(fun(cart(real,Q111963),cart(real,Q111967)),F0),s(cart(real,Q111963),i(s(fun(fun(Q111971,cart(real,Q111963)),cart(real,Q111963)),i(s(fun(fun(Q111971,bool),fun(fun(Q111971,cart(real,Q111963)),cart(real,Q111963))),vsum),s(fun(Q111971,bool),S0))),s(fun(Q111971,cart(real,Q111963)),G0))))) = s(cart(real,Q111967),i(s(fun(fun(Q111971,cart(real,Q111967)),cart(real,Q111967)),i(s(fun(fun(Q111971,bool),fun(fun(Q111971,cart(real,Q111967)),cart(real,Q111967))),vsum),s(fun(Q111971,bool),S0))),s(fun(Q111971,cart(real,Q111967)),i(s(fun(fun(Q111971,cart(real,Q111963)),fun(Q111971,cart(real,Q111967))),i(s(fun(fun(cart(real,Q111963),cart(real,Q111967)),fun(fun(Q111971,cart(real,Q111963)),fun(Q111971,cart(real,Q111967)))),o),s(fun(cart(real,Q111963),cart(real,Q111967)),F0))),s(fun(Q111971,cart(real,Q111963)),G0))))) ) )).++fof(aLINEARu_VSUMu_MUL,axiom,(+ ! [Q112022,Q112025,Q112011,U_1] :+ ( ! [C0,F0,V,I0] : s(cart(real,Q112022),i(s(fun(Q112025,cart(real,Q112022)),i(s(fun(fun(Q112025,cart(real,Q112011)),fun(Q112025,cart(real,Q112022))),i(s(fun(fun(cart(real,Q112011),cart(real,Q112022)),fun(fun(Q112025,cart(real,Q112011)),fun(Q112025,cart(real,Q112022)))),i(s(fun(fun(Q112025,real),fun(fun(cart(real,Q112011),cart(real,Q112022)),fun(fun(Q112025,cart(real,Q112011)),fun(Q112025,cart(real,Q112022))))),U_1),s(fun(Q112025,real),C0))),s(fun(cart(real,Q112011),cart(real,Q112022)),F0))),s(fun(Q112025,cart(real,Q112011)),V))),s(Q112025,I0))) = s(cart(real,Q112022),i(s(fun(cart(real,Q112022),cart(real,Q112022)),i(s(fun(real,fun(cart(real,Q112022),cart(real,Q112022))),r_),s(real,i(s(fun(Q112025,real),C0),s(Q112025,I0))))),s(cart(real,Q112022),i(s(fun(cart(real,Q112011),cart(real,Q112022)),F0),s(cart(real,Q112011),i(s(fun(Q112025,cart(real,Q112011)),V),s(Q112025,I0)))))))+ => ! [U_0] :+ ( ! [C0,V,I0] : s(cart(real,Q112011),i(s(fun(Q112025,cart(real,Q112011)),i(s(fun(fun(Q112025,cart(real,Q112011)),fun(Q112025,cart(real,Q112011))),i(s(fun(fun(Q112025,real),fun(fun(Q112025,cart(real,Q112011)),fun(Q112025,cart(real,Q112011)))),U_0),s(fun(Q112025,real),C0))),s(fun(Q112025,cart(real,Q112011)),V))),s(Q112025,I0))) = s(cart(real,Q112011),i(s(fun(cart(real,Q112011),cart(real,Q112011)),i(s(fun(real,fun(cart(real,Q112011),cart(real,Q112011))),r_),s(real,i(s(fun(Q112025,real),C0),s(Q112025,I0))))),s(cart(real,Q112011),i(s(fun(Q112025,cart(real,Q112011)),V),s(Q112025,I0)))))+ => ! [F0,S0,C0,V] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q112011),cart(real,Q112022)),bool),linear),s(fun(cart(real,Q112011),cart(real,Q112022)),F0))))+ & p(s(bool,i(s(fun(fun(Q112025,bool),bool),finite),s(fun(Q112025,bool),S0)))) )+ => s(cart(real,Q112022),i(s(fun(cart(real,Q112011),cart(real,Q112022)),F0),s(cart(real,Q112011),i(s(fun(fun(Q112025,cart(real,Q112011)),cart(real,Q112011)),i(s(fun(fun(Q112025,bool),fun(fun(Q112025,cart(real,Q112011)),cart(real,Q112011))),vsum),s(fun(Q112025,bool),S0))),s(fun(Q112025,cart(real,Q112011)),i(s(fun(fun(Q112025,cart(real,Q112011)),fun(Q112025,cart(real,Q112011))),i(s(fun(fun(Q112025,real),fun(fun(Q112025,cart(real,Q112011)),fun(Q112025,cart(real,Q112011)))),U_0),s(fun(Q112025,real),C0))),s(fun(Q112025,cart(real,Q112011)),V))))))) = s(cart(real,Q112022),i(s(fun(fun(Q112025,cart(real,Q112022)),cart(real,Q112022)),i(s(fun(fun(Q112025,bool),fun(fun(Q112025,cart(real,Q112022)),cart(real,Q112022))),vsum),s(fun(Q112025,bool),S0))),s(fun(Q112025,cart(real,Q112022)),i(s(fun(fun(Q112025,cart(real,Q112011)),fun(Q112025,cart(real,Q112022))),i(s(fun(fun(cart(real,Q112011),cart(real,Q112022)),fun(fun(Q112025,cart(real,Q112011)),fun(Q112025,cart(real,Q112022)))),i(s(fun(fun(Q112025,real),fun(fun(cart(real,Q112011),cart(real,Q112022)),fun(fun(Q112025,cart(real,Q112011)),fun(Q112025,cart(real,Q112022))))),U_1),s(fun(Q112025,real),C0))),s(fun(cart(real,Q112011),cart(real,Q112022)),F0))),s(fun(Q112025,cart(real,Q112011)),V))))) ) ) ) )).++fof(aLINEARu_INJECTIVEu_0,axiom,(+ ! [Q112067,Q112072,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112072),cart(real,Q112067)),bool),linear),s(fun(cart(real,Q112072),cart(real,Q112067)),F0))))+ => ( ! [X,Y] :+ ( s(cart(real,Q112067),i(s(fun(cart(real,Q112072),cart(real,Q112067)),F0),s(cart(real,Q112072),X))) = s(cart(real,Q112067),i(s(fun(cart(real,Q112072),cart(real,Q112067)),F0),s(cart(real,Q112072),Y)))+ => s(cart(real,Q112072),X) = s(cart(real,Q112072),Y) )+ <=> ! [X] :+ ( s(cart(real,Q112067),i(s(fun(cart(real,Q112072),cart(real,Q112067)),F0),s(cart(real,Q112072),X))) = s(cart(real,Q112067),i(s(fun(num,cart(real,Q112067)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => s(cart(real,Q112072),X) = s(cart(real,Q112072),i(s(fun(num,cart(real,Q112072)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) )).++fof(aLINEARu_BOUNDED,axiom,(+ ! [N,M,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ? [B0] :+ ! [X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,B0))),s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X)))))))) ) )).++fof(aLINEARu_BOUNDEDu_POS,axiom,(+ ! [N,M,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ? [B0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,B0))))+ & ! [X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,B0))),s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X)))))))) ) ) )).++fof(aSYMMETRICu_LINEARu_IMAGE,axiom,(+ ! [Q112240,Q112239,F0,S0] :+ ( ( ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112239),bool),bool),i(s(fun(cart(real,Q112239),fun(fun(cart(real,Q112239),bool),bool)),in),s(cart(real,Q112239),X))),s(fun(cart(real,Q112239),bool),S0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q112239),bool),bool),i(s(fun(cart(real,Q112239),fun(fun(cart(real,Q112239),bool),bool)),in),s(cart(real,Q112239),i(s(fun(cart(real,Q112239),cart(real,Q112239)),vectoru_neg),s(cart(real,Q112239),X))))),s(fun(cart(real,Q112239),bool),S0)))) )+ & p(s(bool,i(s(fun(fun(cart(real,Q112239),cart(real,Q112240)),bool),linear),s(fun(cart(real,Q112239),cart(real,Q112240)),F0)))) )+ => ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112240),bool),bool),i(s(fun(cart(real,Q112240),fun(fun(cart(real,Q112240),bool),bool)),in),s(cart(real,Q112240),X))),s(fun(cart(real,Q112240),bool),i(s(fun(fun(cart(real,Q112239),bool),fun(cart(real,Q112240),bool)),i(s(fun(fun(cart(real,Q112239),cart(real,Q112240)),fun(fun(cart(real,Q112239),bool),fun(cart(real,Q112240),bool))),image),s(fun(cart(real,Q112239),cart(real,Q112240)),F0))),s(fun(cart(real,Q112239),bool),S0))))))+ => p(s(bool,i(s(fun(fun(cart(real,Q112240),bool),bool),i(s(fun(cart(real,Q112240),fun(fun(cart(real,Q112240),bool),bool)),in),s(cart(real,Q112240),i(s(fun(cart(real,Q112240),cart(real,Q112240)),vectoru_neg),s(cart(real,Q112240),X))))),s(fun(cart(real,Q112240),bool),i(s(fun(fun(cart(real,Q112239),bool),fun(cart(real,Q112240),bool)),i(s(fun(fun(cart(real,Q112239),cart(real,Q112240)),fun(fun(cart(real,Q112239),bool),fun(cart(real,Q112240),bool))),image),s(fun(cart(real,Q112239),cart(real,Q112240)),F0))),s(fun(cart(real,Q112239),bool),S0)))))) ) ) )).++fof(abilinear,axiom,(+ ! [Q112265,Q112255,Q112254,U_1] :+ ( ! [F0,Y,X] : s(cart(real,Q112255),i(s(fun(cart(real,Q112265),cart(real,Q112255)),i(s(fun(cart(real,Q112254),fun(cart(real,Q112265),cart(real,Q112255))),i(s(fun(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),fun(cart(real,Q112254),fun(cart(real,Q112265),cart(real,Q112255)))),U_1),s(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),F0))),s(cart(real,Q112254),Y))),s(cart(real,Q112265),X))) = s(cart(real,Q112255),i(s(fun(cart(real,Q112254),cart(real,Q112255)),i(s(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),F0),s(cart(real,Q112265),X))),s(cart(real,Q112254),Y)))+ => ! [U_0] :+ ( ! [F0,X,Y] : s(cart(real,Q112255),i(s(fun(cart(real,Q112254),cart(real,Q112255)),i(s(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),i(s(fun(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255)))),U_0),s(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),F0))),s(cart(real,Q112265),X))),s(cart(real,Q112254),Y))) = s(cart(real,Q112255),i(s(fun(cart(real,Q112254),cart(real,Q112255)),i(s(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),F0),s(cart(real,Q112265),X))),s(cart(real,Q112254),Y)))+ => ! [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),bool),bilinear),s(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),F0))))+ <=> ( ! [X] : p(s(bool,i(s(fun(fun(cart(real,Q112254),cart(real,Q112255)),bool),linear),s(fun(cart(real,Q112254),cart(real,Q112255)),i(s(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),i(s(fun(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255)))),U_0),s(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),F0))),s(cart(real,Q112265),X))))))+ & ! [Y] : p(s(bool,i(s(fun(fun(cart(real,Q112265),cart(real,Q112255)),bool),linear),s(fun(cart(real,Q112265),cart(real,Q112255)),i(s(fun(cart(real,Q112254),fun(cart(real,Q112265),cart(real,Q112255))),i(s(fun(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),fun(cart(real,Q112254),fun(cart(real,Q112265),cart(real,Q112255)))),U_1),s(fun(cart(real,Q112265),fun(cart(real,Q112254),cart(real,Q112255))),F0))),s(cart(real,Q112254),Y)))))) ) ) ) ) )).++fof(aBILINEARu_LADD,axiom,(+ ! [Q112310,Q112309,Q112292,H0,X,Y,Z0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112309),fun(cart(real,Q112292),cart(real,Q112310))),bool),bilinear),s(fun(cart(real,Q112309),fun(cart(real,Q112292),cart(real,Q112310))),H0))))+ => s(cart(real,Q112310),i(s(fun(cart(real,Q112292),cart(real,Q112310)),i(s(fun(cart(real,Q112309),fun(cart(real,Q112292),cart(real,Q112310))),H0),s(cart(real,Q112309),i(s(fun(cart(real,Q112309),cart(real,Q112309)),i(s(fun(cart(real,Q112309),fun(cart(real,Q112309),cart(real,Q112309))),vectoru_add),s(cart(real,Q112309),X))),s(cart(real,Q112309),Y))))),s(cart(real,Q112292),Z0))) = s(cart(real,Q112310),i(s(fun(cart(real,Q112310),cart(real,Q112310)),i(s(fun(cart(real,Q112310),fun(cart(real,Q112310),cart(real,Q112310))),vectoru_add),s(cart(real,Q112310),i(s(fun(cart(real,Q112292),cart(real,Q112310)),i(s(fun(cart(real,Q112309),fun(cart(real,Q112292),cart(real,Q112310))),H0),s(cart(real,Q112309),X))),s(cart(real,Q112292),Z0))))),s(cart(real,Q112310),i(s(fun(cart(real,Q112292),cart(real,Q112310)),i(s(fun(cart(real,Q112309),fun(cart(real,Q112292),cart(real,Q112310))),H0),s(cart(real,Q112309),Y))),s(cart(real,Q112292),Z0))))) ) )).++fof(aBILINEARu_RADD,axiom,(+ ! [Q112352,Q112333,Q112351,H0,X,Y,Z0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112333),fun(cart(real,Q112351),cart(real,Q112352))),bool),bilinear),s(fun(cart(real,Q112333),fun(cart(real,Q112351),cart(real,Q112352))),H0))))+ => s(cart(real,Q112352),i(s(fun(cart(real,Q112351),cart(real,Q112352)),i(s(fun(cart(real,Q112333),fun(cart(real,Q112351),cart(real,Q112352))),H0),s(cart(real,Q112333),X))),s(cart(real,Q112351),i(s(fun(cart(real,Q112351),cart(real,Q112351)),i(s(fun(cart(real,Q112351),fun(cart(real,Q112351),cart(real,Q112351))),vectoru_add),s(cart(real,Q112351),Y))),s(cart(real,Q112351),Z0))))) = s(cart(real,Q112352),i(s(fun(cart(real,Q112352),cart(real,Q112352)),i(s(fun(cart(real,Q112352),fun(cart(real,Q112352),cart(real,Q112352))),vectoru_add),s(cart(real,Q112352),i(s(fun(cart(real,Q112351),cart(real,Q112352)),i(s(fun(cart(real,Q112333),fun(cart(real,Q112351),cart(real,Q112352))),H0),s(cart(real,Q112333),X))),s(cart(real,Q112351),Y))))),s(cart(real,Q112352),i(s(fun(cart(real,Q112351),cart(real,Q112352)),i(s(fun(cart(real,Q112333),fun(cart(real,Q112351),cart(real,Q112352))),H0),s(cart(real,Q112333),X))),s(cart(real,Q112351),Z0))))) ) )).++fof(aBILINEARu_LMUL,axiom,(+ ! [Q112388,Q112385,Q112376,H0,C0,X,Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112385),fun(cart(real,Q112376),cart(real,Q112388))),bool),bilinear),s(fun(cart(real,Q112385),fun(cart(real,Q112376),cart(real,Q112388))),H0))))+ => s(cart(real,Q112388),i(s(fun(cart(real,Q112376),cart(real,Q112388)),i(s(fun(cart(real,Q112385),fun(cart(real,Q112376),cart(real,Q112388))),H0),s(cart(real,Q112385),i(s(fun(cart(real,Q112385),cart(real,Q112385)),i(s(fun(real,fun(cart(real,Q112385),cart(real,Q112385))),r_),s(real,C0))),s(cart(real,Q112385),X))))),s(cart(real,Q112376),Y))) = s(cart(real,Q112388),i(s(fun(cart(real,Q112388),cart(real,Q112388)),i(s(fun(real,fun(cart(real,Q112388),cart(real,Q112388))),r_),s(real,C0))),s(cart(real,Q112388),i(s(fun(cart(real,Q112376),cart(real,Q112388)),i(s(fun(cart(real,Q112385),fun(cart(real,Q112376),cart(real,Q112388))),H0),s(cart(real,Q112385),X))),s(cart(real,Q112376),Y))))) ) )).++fof(aBILINEARu_RMUL,axiom,(+ ! [Q112424,Q112411,Q112421,H0,C0,X,Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112411),fun(cart(real,Q112421),cart(real,Q112424))),bool),bilinear),s(fun(cart(real,Q112411),fun(cart(real,Q112421),cart(real,Q112424))),H0))))+ => s(cart(real,Q112424),i(s(fun(cart(real,Q112421),cart(real,Q112424)),i(s(fun(cart(real,Q112411),fun(cart(real,Q112421),cart(real,Q112424))),H0),s(cart(real,Q112411),X))),s(cart(real,Q112421),i(s(fun(cart(real,Q112421),cart(real,Q112421)),i(s(fun(real,fun(cart(real,Q112421),cart(real,Q112421))),r_),s(real,C0))),s(cart(real,Q112421),Y))))) = s(cart(real,Q112424),i(s(fun(cart(real,Q112424),cart(real,Q112424)),i(s(fun(real,fun(cart(real,Q112424),cart(real,Q112424))),r_),s(real,C0))),s(cart(real,Q112424),i(s(fun(cart(real,Q112421),cart(real,Q112424)),i(s(fun(cart(real,Q112411),fun(cart(real,Q112421),cart(real,Q112424))),H0),s(cart(real,Q112411),X))),s(cart(real,Q112421),Y))))) ) )).++fof(aBILINEARu_LNEG,axiom,(+ ! [Q112458,Q112457,Q112444,H0,X,Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112457),fun(cart(real,Q112444),cart(real,Q112458))),bool),bilinear),s(fun(cart(real,Q112457),fun(cart(real,Q112444),cart(real,Q112458))),H0))))+ => s(cart(real,Q112458),i(s(fun(cart(real,Q112444),cart(real,Q112458)),i(s(fun(cart(real,Q112457),fun(cart(real,Q112444),cart(real,Q112458))),H0),s(cart(real,Q112457),i(s(fun(cart(real,Q112457),cart(real,Q112457)),vectoru_neg),s(cart(real,Q112457),X))))),s(cart(real,Q112444),Y))) = s(cart(real,Q112458),i(s(fun(cart(real,Q112458),cart(real,Q112458)),vectoru_neg),s(cart(real,Q112458),i(s(fun(cart(real,Q112444),cart(real,Q112458)),i(s(fun(cart(real,Q112457),fun(cart(real,Q112444),cart(real,Q112458))),H0),s(cart(real,Q112457),X))),s(cart(real,Q112444),Y))))) ) )).++fof(aBILINEARu_RNEG,axiom,(+ ! [Q112492,Q112477,Q112491,H0,X,Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112477),fun(cart(real,Q112491),cart(real,Q112492))),bool),bilinear),s(fun(cart(real,Q112477),fun(cart(real,Q112491),cart(real,Q112492))),H0))))+ => s(cart(real,Q112492),i(s(fun(cart(real,Q112491),cart(real,Q112492)),i(s(fun(cart(real,Q112477),fun(cart(real,Q112491),cart(real,Q112492))),H0),s(cart(real,Q112477),X))),s(cart(real,Q112491),i(s(fun(cart(real,Q112491),cart(real,Q112491)),vectoru_neg),s(cart(real,Q112491),Y))))) = s(cart(real,Q112492),i(s(fun(cart(real,Q112492),cart(real,Q112492)),vectoru_neg),s(cart(real,Q112492),i(s(fun(cart(real,Q112491),cart(real,Q112492)),i(s(fun(cart(real,Q112477),fun(cart(real,Q112491),cart(real,Q112492))),H0),s(cart(real,Q112477),X))),s(cart(real,Q112491),Y))))) ) )).++fof(aBILINEARu_LZERO,axiom,(+ ! [Q112532,Q112524,Q112534,H0,X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112532),fun(cart(real,Q112524),cart(real,Q112534))),bool),bilinear),s(fun(cart(real,Q112532),fun(cart(real,Q112524),cart(real,Q112534))),H0))))+ => s(cart(real,Q112534),i(s(fun(cart(real,Q112524),cart(real,Q112534)),i(s(fun(cart(real,Q112532),fun(cart(real,Q112524),cart(real,Q112534))),H0),s(cart(real,Q112532),i(s(fun(num,cart(real,Q112532)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,Q112524),X))) = s(cart(real,Q112534),i(s(fun(num,cart(real,Q112534)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aBILINEARu_RZERO,axiom,(+ ! [Q112563,Q112572,Q112574,H0,X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112563),fun(cart(real,Q112572),cart(real,Q112574))),bool),bilinear),s(fun(cart(real,Q112563),fun(cart(real,Q112572),cart(real,Q112574))),H0))))+ => s(cart(real,Q112574),i(s(fun(cart(real,Q112572),cart(real,Q112574)),i(s(fun(cart(real,Q112563),fun(cart(real,Q112572),cart(real,Q112574))),H0),s(cart(real,Q112563),X))),s(cart(real,Q112572),i(s(fun(num,cart(real,Q112572)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(real,Q112574),i(s(fun(num,cart(real,Q112574)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aBILINEARu_LSUB,axiom,(+ ! [Q112614,Q112613,Q112596,H0,X,Y,Z0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112613),fun(cart(real,Q112596),cart(real,Q112614))),bool),bilinear),s(fun(cart(real,Q112613),fun(cart(real,Q112596),cart(real,Q112614))),H0))))+ => s(cart(real,Q112614),i(s(fun(cart(real,Q112596),cart(real,Q112614)),i(s(fun(cart(real,Q112613),fun(cart(real,Q112596),cart(real,Q112614))),H0),s(cart(real,Q112613),i(s(fun(cart(real,Q112613),cart(real,Q112613)),i(s(fun(cart(real,Q112613),fun(cart(real,Q112613),cart(real,Q112613))),vectoru_sub),s(cart(real,Q112613),X))),s(cart(real,Q112613),Y))))),s(cart(real,Q112596),Z0))) = s(cart(real,Q112614),i(s(fun(cart(real,Q112614),cart(real,Q112614)),i(s(fun(cart(real,Q112614),fun(cart(real,Q112614),cart(real,Q112614))),vectoru_sub),s(cart(real,Q112614),i(s(fun(cart(real,Q112596),cart(real,Q112614)),i(s(fun(cart(real,Q112613),fun(cart(real,Q112596),cart(real,Q112614))),H0),s(cart(real,Q112613),X))),s(cart(real,Q112596),Z0))))),s(cart(real,Q112614),i(s(fun(cart(real,Q112596),cart(real,Q112614)),i(s(fun(cart(real,Q112613),fun(cart(real,Q112596),cart(real,Q112614))),H0),s(cart(real,Q112613),Y))),s(cart(real,Q112596),Z0))))) ) )).++fof(aBILINEARu_RSUB,axiom,(+ ! [Q112656,Q112637,Q112655,H0,X,Y,Z0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112637),fun(cart(real,Q112655),cart(real,Q112656))),bool),bilinear),s(fun(cart(real,Q112637),fun(cart(real,Q112655),cart(real,Q112656))),H0))))+ => s(cart(real,Q112656),i(s(fun(cart(real,Q112655),cart(real,Q112656)),i(s(fun(cart(real,Q112637),fun(cart(real,Q112655),cart(real,Q112656))),H0),s(cart(real,Q112637),X))),s(cart(real,Q112655),i(s(fun(cart(real,Q112655),cart(real,Q112655)),i(s(fun(cart(real,Q112655),fun(cart(real,Q112655),cart(real,Q112655))),vectoru_sub),s(cart(real,Q112655),Y))),s(cart(real,Q112655),Z0))))) = s(cart(real,Q112656),i(s(fun(cart(real,Q112656),cart(real,Q112656)),i(s(fun(cart(real,Q112656),fun(cart(real,Q112656),cart(real,Q112656))),vectoru_sub),s(cart(real,Q112656),i(s(fun(cart(real,Q112655),cart(real,Q112656)),i(s(fun(cart(real,Q112637),fun(cart(real,Q112655),cart(real,Q112656))),H0),s(cart(real,Q112637),X))),s(cart(real,Q112655),Y))))),s(cart(real,Q112656),i(s(fun(cart(real,Q112655),cart(real,Q112656)),i(s(fun(cart(real,Q112637),fun(cart(real,Q112655),cart(real,Q112656))),H0),s(cart(real,Q112637),X))),s(cart(real,Q112655),Z0))))) ) )).++fof(aBILINEARu_VSUM,axiom,(+ ! [Q112722,Q112723,M,N,P,U_0] :+ ( ! [H0,F0] :+ ( p(s(bool,i(s(fun(fun(prod(Q112722,Q112723),cart(real,P)),bool),i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),fun(fun(prod(Q112722,Q112723),cart(real,P)),bool)),U_0),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))),s(fun(prod(Q112722,Q112723),cart(real,P)),F0))))+ <=> ! [I0,J0] : p(s(bool,i(s(fun(cart(real,P),bool),i(s(fun(cart(real,P),fun(cart(real,P),bool)),geq),s(cart(real,P),i(s(fun(prod(Q112722,Q112723),cart(real,P)),F0),s(prod(Q112722,Q112723),i(s(fun(Q112723,prod(Q112722,Q112723)),i(s(fun(Q112722,fun(Q112723,prod(Q112722,Q112723))),c_),s(Q112722,I0))),s(Q112723,J0))))))),s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0),s(cart(real,M),i(s(fun(Q112722,cart(real,M)),f),s(Q112722,I0))))),s(cart(real,N),i(s(fun(Q112723,cart(real,N)),g),s(Q112723,J0)))))))) )+ => ! [H0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),bool),bilinear),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))))+ & p(s(bool,i(s(fun(fun(Q112722,bool),bool),finite),s(fun(Q112722,bool),s0))))+ & p(s(bool,i(s(fun(fun(Q112723,bool),bool),finite),s(fun(Q112723,bool),t0)))) )+ => s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0),s(cart(real,M),i(s(fun(fun(Q112722,cart(real,M)),cart(real,M)),i(s(fun(fun(Q112722,bool),fun(fun(Q112722,cart(real,M)),cart(real,M))),vsum),s(fun(Q112722,bool),s0))),s(fun(Q112722,cart(real,M)),f))))),s(cart(real,N),i(s(fun(fun(Q112723,cart(real,N)),cart(real,N)),i(s(fun(fun(Q112723,bool),fun(fun(Q112723,cart(real,N)),cart(real,N))),vsum),s(fun(Q112723,bool),t0))),s(fun(Q112723,cart(real,N)),g))))) = s(cart(real,P),i(s(fun(fun(prod(Q112722,Q112723),cart(real,P)),cart(real,P)),i(s(fun(fun(prod(Q112722,Q112723),bool),fun(fun(prod(Q112722,Q112723),cart(real,P)),cart(real,P))),vsum),s(fun(prod(Q112722,Q112723),bool),i(s(fun(fun(Q112723,bool),fun(prod(Q112722,Q112723),bool)),i(s(fun(fun(Q112722,bool),fun(fun(Q112723,bool),fun(prod(Q112722,Q112723),bool))),cross0),s(fun(Q112722,bool),s0))),s(fun(Q112723,bool),t0))))),s(fun(prod(Q112722,Q112723),cart(real,P)),i(s(fun(fun(fun(prod(Q112722,Q112723),cart(real,P)),bool),fun(prod(Q112722,Q112723),cart(real,P))),gabs),s(fun(fun(prod(Q112722,Q112723),cart(real,P)),bool),i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),fun(fun(prod(Q112722,Q112723),cart(real,P)),bool)),U_0),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))))))) ) ) )).++fof(aBILINEARu_BOUNDED,axiom,(+ ! [P,M,N,H0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),bool),bilinear),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))))+ => ? [B0] :+ ! [X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,P),real),vectoru_norm),s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0),s(cart(real,M),X))),s(cart(real,N),Y))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,B0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y)))))))))) ) )).++fof(aBILINEARu_BOUNDEDu_POS,axiom,(+ ! [Q112837,Q112835,Q112836,H0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q112835),fun(cart(real,Q112836),cart(real,Q112837))),bool),bilinear),s(fun(cart(real,Q112835),fun(cart(real,Q112836),cart(real,Q112837))),H0))))+ => ? [B0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,B0))))+ & ! [X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q112837),real),vectoru_norm),s(cart(real,Q112837),i(s(fun(cart(real,Q112836),cart(real,Q112837)),i(s(fun(cart(real,Q112835),fun(cart(real,Q112836),cart(real,Q112837))),H0),s(cart(real,Q112835),X))),s(cart(real,Q112836),Y))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,B0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,Q112835),real),vectoru_norm),s(cart(real,Q112835),X))))),s(real,i(s(fun(cart(real,Q112836),real),vectoru_norm),s(cart(real,Q112836),Y)))))))))) ) ) )).++fof(aBILINEARu_VSUMu_PARTIALu_SUC,axiom,(+ ! [M,N,P,U_1] :+ ( ! [H0,F0,G0,K0] : s(cart(real,P),i(s(fun(num,cart(real,P)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,P))),i(s(fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P)))),i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P))))),U_1),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))),s(fun(num,cart(real,M)),F0))),s(fun(num,cart(real,N)),G0))),s(num,K0))) = s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(cart(real,M),fun(cart(real,M),cart(real,M))),vectoru_sub),s(cart(real,M),i(s(fun(num,cart(real,M)),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,M),i(s(fun(num,cart(real,M)),F0),s(num,K0))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))+ => ! [U_0] :+ ( ! [H0,F0,G0,K0] : s(cart(real,P),i(s(fun(num,cart(real,P)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,P))),i(s(fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P)))),i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P))))),U_0),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))),s(fun(num,cart(real,M)),F0))),s(fun(num,cart(real,N)),G0))),s(num,K0))) = s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0),s(cart(real,M),i(s(fun(num,cart(real,M)),F0),s(num,K0))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,K0)))))))+ => ! [F0,G0,H0,M0,N0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),bool),bilinear),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))))+ => s(cart(real,P),i(s(fun(fun(num,cart(real,P)),cart(real,P)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,P)),cart(real,P))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,P)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,P))),i(s(fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P)))),i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P))))),U_0),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))),s(fun(num,cart(real,M)),F0))),s(fun(num,cart(real,N)),G0))))) = s(cart(real,P),i(s(fun(cart(real,P),cart(real,P)),i(s(fun(cart(real,P),fun(cart(real,P),cart(real,P))),i(s(fun(bool,fun(cart(real,P),fun(cart(real,P),cart(real,P)))),cond),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,N0))))),s(cart(real,P),i(s(fun(cart(real,P),cart(real,P)),i(s(fun(cart(real,P),fun(cart(real,P),cart(real,P))),vectoru_sub),s(cart(real,P),i(s(fun(cart(real,P),cart(real,P)),i(s(fun(cart(real,P),fun(cart(real,P),cart(real,P))),vectoru_sub),s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0),s(cart(real,M),i(s(fun(num,cart(real,M)),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0),s(cart(real,M),i(s(fun(num,cart(real,M)),F0),s(num,M0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,M0))))))))),s(cart(real,P),i(s(fun(fun(num,cart(real,P)),cart(real,P)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,P)),cart(real,P))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,P)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,P))),i(s(fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P)))),i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P))))),U_1),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))),s(fun(num,cart(real,M)),F0))),s(fun(num,cart(real,N)),G0))))))))),s(cart(real,P),i(s(fun(num,cart(real,P)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ) ) ) )).++fof(aBILINEARu_VSUMu_PARTIALu_PRE,axiom,(+ ! [M,N,P,U_1] :+ ( ! [H0,F0,G0,K0] : s(cart(real,P),i(s(fun(num,cart(real,P)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,P))),i(s(fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P)))),i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P))))),U_1),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))),s(fun(num,cart(real,M)),F0))),s(fun(num,cart(real,N)),G0))),s(num,K0))) = s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(cart(real,M),fun(cart(real,M),cart(real,M))),vectoru_sub),s(cart(real,M),i(s(fun(num,cart(real,M)),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,M),i(s(fun(num,cart(real,M)),F0),s(num,K0))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,K0)))))+ => ! [U_0] :+ ( ! [H0,F0,G0,K0] : s(cart(real,P),i(s(fun(num,cart(real,P)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,P))),i(s(fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P)))),i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P))))),U_0),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))),s(fun(num,cart(real,M)),F0))),s(fun(num,cart(real,N)),G0))),s(num,K0))) = s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0),s(cart(real,M),i(s(fun(num,cart(real,M)),F0),s(num,K0))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,K0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,K0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))))+ => ! [F0,G0,H0,M0,N0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),bool),bilinear),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))))+ => s(cart(real,P),i(s(fun(fun(num,cart(real,P)),cart(real,P)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,P)),cart(real,P))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,P)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,P))),i(s(fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P)))),i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P))))),U_0),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))),s(fun(num,cart(real,M)),F0))),s(fun(num,cart(real,N)),G0))))) = s(cart(real,P),i(s(fun(cart(real,P),cart(real,P)),i(s(fun(cart(real,P),fun(cart(real,P),cart(real,P))),i(s(fun(bool,fun(cart(real,P),fun(cart(real,P),cart(real,P)))),cond),s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,M0))),s(num,N0))))),s(cart(real,P),i(s(fun(cart(real,P),cart(real,P)),i(s(fun(cart(real,P),fun(cart(real,P),cart(real,P))),vectoru_sub),s(cart(real,P),i(s(fun(cart(real,P),cart(real,P)),i(s(fun(cart(real,P),fun(cart(real,P),cart(real,P))),vectoru_sub),s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0),s(cart(real,M),i(s(fun(num,cart(real,M)),F0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,N0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,N0))))))),s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0),s(cart(real,M),i(s(fun(num,cart(real,M)),F0),s(num,M0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),G0),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,M0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))))),s(cart(real,P),i(s(fun(fun(num,cart(real,P)),cart(real,P)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,P)),cart(real,P))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,M0))),s(num,N0))))),s(fun(num,cart(real,P)),i(s(fun(fun(num,cart(real,N)),fun(num,cart(real,P))),i(s(fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P)))),i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),fun(fun(num,cart(real,M)),fun(fun(num,cart(real,N)),fun(num,cart(real,P))))),U_1),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),H0))),s(fun(num,cart(real,M)),F0))),s(fun(num,cart(real,N)),G0))))))))),s(cart(real,P),i(s(fun(num,cart(real,P)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ) ) ) )).++fof(aadjoint,axiom,(+ ! [M,N,U_0] :+ ( ! [F0,FI_] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,N),cart(real,M)),bool)),U_0),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,N),cart(real,M)),FI_))))+ <=> ! [X,Y] : s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))),s(cart(real,N),Y))) = s(real,i(s(fun(cart(real,M),real),i(s(fun(cart(real,M),fun(cart(real,M),real)),dot),s(cart(real,M),X))),s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),FI_),s(cart(real,N),Y))))) )+ => ! [F0] : s(fun(cart(real,N),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,N),cart(real,M))),adjoint),s(fun(cart(real,M),cart(real,N)),F0))) = s(fun(cart(real,N),cart(real,M)),i(s(fun(fun(fun(cart(real,N),cart(real,M)),bool),fun(cart(real,N),cart(real,M))),h_),s(fun(fun(cart(real,N),cart(real,M)),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,N),cart(real,M)),bool)),U_0),s(fun(cart(real,M),cart(real,N)),F0))))) ) )).++fof(aADJOINTu_WORKS,axiom,(+ ! [M,N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ! [X,Y] : s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))),s(cart(real,N),Y))) = s(real,i(s(fun(cart(real,M),real),i(s(fun(cart(real,M),fun(cart(real,M),real)),dot),s(cart(real,M),X))),s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,N),cart(real,M))),adjoint),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,N),Y))))) ) )).++fof(aADJOINTu_LINEAR,axiom,(+ ! [M,N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,N),cart(real,M))),adjoint),s(fun(cart(real,M),cart(real,N)),F0)))))) ) )).++fof(aADJOINTu_CLAUSES,axiom,(+ ! [N,M,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ( ! [X,Y] : s(real,i(s(fun(cart(real,M),real),i(s(fun(cart(real,M),fun(cart(real,M),real)),dot),s(cart(real,M),X))),s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,N),cart(real,M))),adjoint),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,N),Y))))) = s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))),s(cart(real,N),Y)))+ & ! [X,Y] : s(real,i(s(fun(cart(real,M),real),i(s(fun(cart(real,M),fun(cart(real,M),real)),dot),s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,N),cart(real,M))),adjoint),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,N),Y))))),s(cart(real,M),X))) = s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),Y))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) ) ) )).++fof(aADJOINTu_ADJOINT,axiom,(+ ! [M,N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => s(fun(cart(real,M),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,M)),fun(cart(real,M),cart(real,N))),adjoint),s(fun(cart(real,N),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,N),cart(real,M))),adjoint),s(fun(cart(real,M),cart(real,N)),F0))))) = s(fun(cart(real,M),cart(real,N)),F0) ) )).++fof(aADJOINTu_UNIQUE,axiom,(+ ! [Q113333,Q113332,F0,FI_] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q113333),cart(real,Q113332)),bool),linear),s(fun(cart(real,Q113333),cart(real,Q113332)),F0))))+ & ! [X,Y] : s(real,i(s(fun(cart(real,Q113333),real),i(s(fun(cart(real,Q113333),fun(cart(real,Q113333),real)),dot),s(cart(real,Q113333),i(s(fun(cart(real,Q113332),cart(real,Q113333)),FI_),s(cart(real,Q113332),X))))),s(cart(real,Q113333),Y))) = s(real,i(s(fun(cart(real,Q113332),real),i(s(fun(cart(real,Q113332),fun(cart(real,Q113332),real)),dot),s(cart(real,Q113332),X))),s(cart(real,Q113332),i(s(fun(cart(real,Q113333),cart(real,Q113332)),F0),s(cart(real,Q113333),Y))))) )+ => s(fun(cart(real,Q113332),cart(real,Q113333)),FI_) = s(fun(cart(real,Q113332),cart(real,Q113333)),i(s(fun(fun(cart(real,Q113333),cart(real,Q113332)),fun(cart(real,Q113332),cart(real,Q113333))),adjoint),s(fun(cart(real,Q113333),cart(real,Q113332)),F0))) ) )).++fof(amatrixu_cmul,axiom,(+ ! [N,M,U_1] :+ ( ! [C0,A5,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),i(s(fun(real,fun(cart(cart(real,N),M),fun(num,fun(num,real)))),U_1),s(real,C0))),s(cart(cart(real,N),M),A5))),s(num,I0))),s(num,J0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,C0))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,J0)))))+ => ! [U_0] :+ ( ! [C0,A5,I0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),i(s(fun(real,fun(cart(cart(real,N),M),fun(num,cart(real,N)))),U_0),s(real,C0))),s(cart(cart(real,N),M),A5))),s(num,I0))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),i(s(fun(real,fun(cart(cart(real,N),M),fun(num,fun(num,real)))),U_1),s(real,C0))),s(cart(cart(real,N),M),A5))),s(num,I0)))))+ => ! [C0,A5] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),M),i(s(fun(fun(num,cart(real,N)),cart(cart(real,N),M)),lambda),s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),i(s(fun(real,fun(cart(cart(real,N),M),fun(num,cart(real,N)))),U_0),s(real,C0))),s(cart(cart(real,N),M),A5))))) ) ) )).++fof(amatrixu_neg,axiom,(+ ! [N,M,U_1] :+ ( ! [A5,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),U_1),s(cart(cart(real,N),M),A5))),s(num,I0))),s(num,J0))) = s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,J0)))))+ => ! [U_0] :+ ( ! [A5,I0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),U_0),s(cart(cart(real,N),M),A5))),s(num,I0))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),U_1),s(cart(cart(real,N),M),A5))),s(num,I0)))))+ => ! [A5] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),M),i(s(fun(fun(num,cart(real,N)),cart(cart(real,N),M)),lambda),s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),U_0),s(cart(cart(real,N),M),A5))))) ) ) )).++fof(amatrixu_add,axiom,(+ ! [N,M,U_1] :+ ( ! [A5,B0,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),fun(num,fun(num,real)))),U_1),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))),s(num,I0))),s(num,J0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,J0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),B0))),s(num,I0))))),s(num,J0)))))+ => ! [U_0] :+ ( ! [A5,B0,I0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),fun(num,cart(real,N)))),U_0),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))),s(num,I0))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),fun(num,fun(num,real)))),U_1),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))),s(num,I0)))))+ => ! [A5,B0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))) = s(cart(cart(real,N),M),i(s(fun(fun(num,cart(real,N)),cart(cart(real,N),M)),lambda),s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),fun(num,cart(real,N)))),U_0),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))) ) ) )).++fof(amatrixu_sub,axiom,(+ ! [N,M,U_1] :+ ( ! [A5,B0,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),fun(num,fun(num,real)))),U_1),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))),s(num,I0))),s(num,J0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,J0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),B0))),s(num,I0))))),s(num,J0)))))+ => ! [U_0] :+ ( ! [A5,B0,I0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),fun(num,cart(real,N)))),U_0),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))),s(num,I0))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),fun(num,fun(num,real)))),U_1),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))),s(num,I0)))))+ => ! [A5,B0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))) = s(cart(cart(real,N),M),i(s(fun(fun(num,cart(real,N)),cart(cart(real,N),M)),lambda),s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),fun(num,cart(real,N)))),U_0),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))) ) ) )).++fof(amatrixu_mul,axiom,(+ ! [M,P,N,U_2] :+ ( ! [A5,I0,B0,J0,K0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,P),N),fun(num,fun(num,real))),i(s(fun(num,fun(cart(cart(real,P),N),fun(num,fun(num,real)))),i(s(fun(cart(cart(real,N),M),fun(num,fun(cart(cart(real,P),N),fun(num,fun(num,real))))),U_2),s(cart(cart(real,N),M),A5))),s(num,I0))),s(cart(cart(real,P),N),B0))),s(num,J0))),s(num,K0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,K0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,P),fun(num,real)),d_),s(cart(real,P),i(s(fun(num,cart(real,P)),i(s(fun(cart(cart(real,P),N),fun(num,cart(real,P))),d_),s(cart(cart(real,P),N),B0))),s(num,K0))))),s(num,J0)))))+ => ! [U_1] :+ ( ! [A5,I0,B0,J0] : s(real,i(s(fun(num,real),i(s(fun(cart(cart(real,P),N),fun(num,real)),i(s(fun(num,fun(cart(cart(real,P),N),fun(num,real))),i(s(fun(cart(cart(real,N),M),fun(num,fun(cart(cart(real,P),N),fun(num,real)))),U_1),s(cart(cart(real,N),M),A5))),s(num,I0))),s(cart(cart(real,P),N),B0))),s(num,J0))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,P),N),fun(num,fun(num,real))),i(s(fun(num,fun(cart(cart(real,P),N),fun(num,fun(num,real)))),i(s(fun(cart(cart(real,N),M),fun(num,fun(cart(cart(real,P),N),fun(num,fun(num,real))))),U_2),s(cart(cart(real,N),M),A5))),s(num,I0))),s(cart(cart(real,P),N),B0))),s(num,J0)))))+ => ! [U_0] :+ ( ! [A5,B0,I0] : s(cart(real,P),i(s(fun(num,cart(real,P)),i(s(fun(cart(cart(real,P),N),fun(num,cart(real,P))),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),fun(num,cart(real,P)))),U_0),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))),s(num,I0))) = s(cart(real,P),i(s(fun(fun(num,real),cart(real,P)),lambda),s(fun(num,real),i(s(fun(cart(cart(real,P),N),fun(num,real)),i(s(fun(num,fun(cart(cart(real,P),N),fun(num,real))),i(s(fun(cart(cart(real,N),M),fun(num,fun(cart(cart(real,P),N),fun(num,real)))),U_1),s(cart(cart(real,N),M),A5))),s(num,I0))),s(cart(cart(real,P),N),B0)))))+ => ! [A5,B0] : s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))) = s(cart(cart(real,P),M),i(s(fun(fun(num,cart(real,P)),cart(cart(real,P),M)),lambda),s(fun(num,cart(real,P)),i(s(fun(cart(cart(real,P),N),fun(num,cart(real,P))),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),fun(num,cart(real,P)))),U_0),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))))) ) ) ) )).++fof(amatrixu_vectoru_mul,axiom,(+ ! [M,N,U_1] :+ ( ! [A5,I0,X,J0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(num,fun(cart(real,N),fun(num,real))),i(s(fun(cart(cart(real,N),M),fun(num,fun(cart(real,N),fun(num,real)))),U_1),s(cart(cart(real,N),M),A5))),s(num,I0))),s(cart(real,N),X))),s(num,J0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,J0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,J0)))))+ => ! [U_0] :+ ( ! [A5,X,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),fun(num,real))),U_0),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))),s(num,I0))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(num,fun(cart(real,N),fun(num,real))),i(s(fun(cart(cart(real,N),M),fun(num,fun(cart(real,N),fun(num,real)))),U_1),s(cart(cart(real,N),M),A5))),s(num,I0))),s(cart(real,N),X)))))+ => ! [A5,X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))) = s(cart(real,M),i(s(fun(fun(num,real),cart(real,M)),lambda),s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),fun(num,real))),U_0),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))))) ) ) )).++fof(avectoru_matrixu_mul,axiom,(+ ! [N,M,U_1] :+ ( ! [A5,J0,X,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,M),fun(num,real)),i(s(fun(num,fun(cart(real,M),fun(num,real))),i(s(fun(cart(cart(real,N),M),fun(num,fun(cart(real,M),fun(num,real)))),U_1),s(cart(cart(real,N),M),A5))),s(num,J0))),s(cart(real,M),X))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,J0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,M),fun(num,real)),d_),s(cart(real,M),X))),s(num,I0)))))+ => ! [U_0] :+ ( ! [A5,X,J0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,M),fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(cart(real,M),fun(num,real))),U_0),s(cart(cart(real,N),M),A5))),s(cart(real,M),X))),s(num,J0))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))))))),s(fun(num,real),i(s(fun(cart(real,M),fun(num,real)),i(s(fun(num,fun(cart(real,M),fun(num,real))),i(s(fun(cart(cart(real,N),M),fun(num,fun(cart(real,M),fun(num,real)))),U_1),s(cart(cart(real,N),M),A5))),s(num,J0))),s(cart(real,M),X)))))+ => ! [A5,X] : s(cart(real,N),i(s(fun(cart(cart(real,N),M),cart(real,N)),i(s(fun(cart(real,M),fun(cart(cart(real,N),M),cart(real,N))),vectoru_matrixu_mul),s(cart(real,M),X))),s(cart(cart(real,N),M),A5))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(cart(real,M),fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(cart(real,M),fun(num,real))),U_0),s(cart(cart(real,N),M),A5))),s(cart(real,M),X))))) ) ) )).++fof(amat,axiom,(+ ! [M,N,U_1] :+ ( ! [I0,K0,J0] :+ ? [V] :+ ( ( p(s(bool,V))+ <=> s(num,I0) = s(num,J0) )+ & s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(num,fun(num,fun(num,real))),U_1),s(num,I0))),s(num,K0))),s(num,J0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,V))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,K0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) )+ => ! [U_0] :+ ( ! [K0,I0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(num,fun(num,cart(real,N))),U_0),s(num,K0))),s(num,I0))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(num,fun(num,fun(num,real))),U_1),s(num,I0))),s(num,K0)))))+ => ! [K0] : s(cart(cart(real,N),M),i(s(fun(num,cart(cart(real,N),M)),mat),s(num,K0))) = s(cart(cart(real,N),M),i(s(fun(fun(num,cart(real,N)),cart(cart(real,N),M)),lambda),s(fun(num,cart(real,N)),i(s(fun(num,fun(num,cart(real,N))),U_0),s(num,K0))))) ) ) )).++fof(atransp,axiom,(+ ! [N,M,U_1] :+ ( ! [A5,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),U_1),s(cart(cart(real,N),M),A5))),s(num,I0))),s(num,J0))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,J0))))),s(num,I0)))+ => ! [U_0] :+ ( ! [A5,I0] : s(cart(real,M),i(s(fun(num,cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,M))),U_0),s(cart(cart(real,N),M),A5))),s(num,I0))) = s(cart(real,M),i(s(fun(fun(num,real),cart(real,M)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),U_1),s(cart(cart(real,N),M),A5))),s(num,I0)))))+ => ! [A5] : s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,M),N),i(s(fun(fun(num,cart(real,M)),cart(cart(real,M),N)),lambda),s(fun(num,cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,M))),U_0),s(cart(cart(real,N),M),A5))))) ) ) )).++fof(arow,axiom,(+ ! [N,M,U_0] :+ ( ! [A5,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),U_0),s(cart(cart(real,N),M),A5))),s(num,I0))),s(num,J0))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,J0)))+ => ! [A5,I0] : s(cart(real,N),i(s(fun(cart(cart(real,N),M),cart(real,N)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,N))),row),s(num,I0))),s(cart(cart(real,N),M),A5))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),U_0),s(cart(cart(real,N),M),A5))),s(num,I0))))) ) )).++fof(acolumn,axiom,(+ ! [N,M,U_0] :+ ( ! [A5,J0,I0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),U_0),s(cart(cart(real,N),M),A5))),s(num,J0))),s(num,I0))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,J0)))+ => ! [A5,J0] : s(cart(real,M),i(s(fun(cart(cart(real,N),M),cart(real,M)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,M))),column),s(num,J0))),s(cart(cart(real,N),M),A5))) = s(cart(real,M),i(s(fun(fun(num,real),cart(real,M)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(num,fun(num,real))),U_0),s(cart(cart(real,N),M),A5))),s(num,J0))))) ) )).++fof(arows,axiom,(+ ! [N,M,U_0] :+ ( ! [A5,GENR_PVARR_291] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),bool)),U_0),s(cart(cart(real,N),M),A5))),s(cart(real,N),GENR_PVARR_291))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_291))),s(bool,V))),s(cart(real,N),i(s(fun(cart(cart(real,N),M),cart(real,N)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,N))),row),s(num,I0))),s(cart(cart(real,N),M),A5)))))) ) )+ => ! [A5] : s(fun(cart(real,N),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),bool)),rows),s(cart(cart(real,N),M),A5))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),bool)),U_0),s(cart(cart(real,N),M),A5))))) ) )).++fof(acolumns,axiom,(+ ! [N,M,U_0] :+ ( ! [A5,GENR_PVARR_292] :+ ( p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,M),bool)),U_0),s(cart(cart(real,N),M),A5))),s(cart(real,M),GENR_PVARR_292))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(bool,fun(cart(real,M),bool)),i(s(fun(cart(real,M),fun(bool,fun(cart(real,M),bool))),setspec),s(cart(real,M),GENR_PVARR_292))),s(bool,V))),s(cart(real,M),i(s(fun(cart(cart(real,N),M),cart(real,M)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,M))),column),s(num,I0))),s(cart(cart(real,N),M),A5)))))) ) )+ => ! [A5] : s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,M),bool)),columns),s(cart(cart(real,N),M),A5))) = s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),gspec),s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,M),bool)),U_0),s(cart(cart(real,N),M),A5))))) ) )).++fof(aMATRIXu_CMULu_COMPONENT,axiom,(+ ! [N,M,C0,A5,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),A5))))),s(num,I0))))),s(num,j))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,C0))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,j))))) )).++fof(aMATRIXu_ADDu_COMPONENT,axiom,(+ ! [N,M,A5,B0,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))),s(num,I0))))),s(num,J0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,J0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),B0))),s(num,I0))))),s(num,J0))))) )).++fof(aMATRIXu_SUBu_COMPONENT,axiom,(+ ! [N,M,A5,B0,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))),s(num,I0))))),s(num,J0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,J0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),B0))),s(num,I0))))),s(num,J0))))) )).++fof(aMATRIXu_NEGu_COMPONENT,axiom,(+ ! [N,M,A5,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),A5))))),s(num,I0))))),s(num,J0))) = s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(num,J0))))) )).++fof(aTRANSPu_COMPONENT,axiom,(+ ! [N,M,A5,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,M),fun(num,real)),d_),s(cart(real,M),i(s(fun(num,cart(real,M)),i(s(fun(cart(cart(real,M),N),fun(num,cart(real,M))),d_),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))),s(num,I0))))),s(num,J0))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,J0))))),s(num,I0))) )).++fof(aMATu_COMPONENT,axiom,(+ ! [N,M,N0,I0,J0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,J0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,J0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => ? [V] :+ ( ( p(s(bool,V))+ <=> s(num,I0) = s(num,J0) )+ & s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),i(s(fun(num,cart(cart(real,N),M)),mat),s(num,N0))))),s(num,I0))))),s(num,J0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,V))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,N0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) ) ) )).++fof(aMATRIXu_CMULu_ASSOC,axiom,(+ ! [M,N,A5,B0,X] : s(cart(cart(real,M),N),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),N)),i(s(fun(real,fun(cart(cart(real,M),N),cart(cart(real,M),N))),r_r_),s(real,A5))),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),N)),i(s(fun(real,fun(cart(cart(real,M),N),cart(cart(real,M),N))),r_r_),s(real,B0))),s(cart(cart(real,M),N),X))))) = s(cart(cart(real,M),N),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),N)),i(s(fun(real,fun(cart(cart(real,M),N),cart(cart(real,M),N))),r_r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,A5))),s(real,B0))))),s(cart(cart(real,M),N),X))) )).++fof(aMATRIXu_CMULu_LID,axiom,(+ ! [M,N,X] : s(cart(cart(real,M),N),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),N)),i(s(fun(real,fun(cart(cart(real,M),N),cart(cart(real,M),N))),r_r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(cart(real,M),N),X))) = s(cart(cart(real,M),N),X) )).++fof(aMATRIXu_ADDu_SYM,axiom,(+ ! [N,M,A5,B0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),B0))),s(cart(cart(real,N),M),A5))) )).++fof(aMATRIXu_ADDu_ASSOC,axiom,(+ ! [N,M,A5,B0,C0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),B0))),s(cart(cart(real,N),M),C0))))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))),s(cart(cart(real,N),M),C0))) )).++fof(aMATRIXu_ADDu_LID,axiom,(+ ! [Q114603,Q114604,A5] : s(cart(cart(real,Q114603),Q114604),i(s(fun(cart(cart(real,Q114603),Q114604),cart(cart(real,Q114603),Q114604)),i(s(fun(cart(cart(real,Q114603),Q114604),fun(cart(cart(real,Q114603),Q114604),cart(cart(real,Q114603),Q114604))),matrixu_add),s(cart(cart(real,Q114603),Q114604),i(s(fun(num,cart(cart(real,Q114603),Q114604)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,Q114603),Q114604),A5))) = s(cart(cart(real,Q114603),Q114604),A5) )).++fof(aMATRIXu_ADDu_RID,axiom,(+ ! [Q114621,Q114622,A5] : s(cart(cart(real,Q114621),Q114622),i(s(fun(cart(cart(real,Q114621),Q114622),cart(cart(real,Q114621),Q114622)),i(s(fun(cart(cart(real,Q114621),Q114622),fun(cart(cart(real,Q114621),Q114622),cart(cart(real,Q114621),Q114622))),matrixu_add),s(cart(cart(real,Q114621),Q114622),A5))),s(cart(cart(real,Q114621),Q114622),i(s(fun(num,cart(cart(real,Q114621),Q114622)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(cart(real,Q114621),Q114622),A5) )).++fof(aMATRIXu_ADDu_LNEG,axiom,(+ ! [Q114643,Q114644,A5] : s(cart(cart(real,Q114643),Q114644),i(s(fun(cart(cart(real,Q114643),Q114644),cart(cart(real,Q114643),Q114644)),i(s(fun(cart(cart(real,Q114643),Q114644),fun(cart(cart(real,Q114643),Q114644),cart(cart(real,Q114643),Q114644))),matrixu_add),s(cart(cart(real,Q114643),Q114644),i(s(fun(cart(cart(real,Q114643),Q114644),cart(cart(real,Q114643),Q114644)),matrixu_neg),s(cart(cart(real,Q114643),Q114644),A5))))),s(cart(cart(real,Q114643),Q114644),A5))) = s(cart(cart(real,Q114643),Q114644),i(s(fun(num,cart(cart(real,Q114643),Q114644)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aMATRIXu_ADDu_RNEG,axiom,(+ ! [Q114667,Q114668,A5] : s(cart(cart(real,Q114667),Q114668),i(s(fun(cart(cart(real,Q114667),Q114668),cart(cart(real,Q114667),Q114668)),i(s(fun(cart(cart(real,Q114667),Q114668),fun(cart(cart(real,Q114667),Q114668),cart(cart(real,Q114667),Q114668))),matrixu_add),s(cart(cart(real,Q114667),Q114668),A5))),s(cart(cart(real,Q114667),Q114668),i(s(fun(cart(cart(real,Q114667),Q114668),cart(cart(real,Q114667),Q114668)),matrixu_neg),s(cart(cart(real,Q114667),Q114668),A5))))) = s(cart(cart(real,Q114667),Q114668),i(s(fun(num,cart(cart(real,Q114667),Q114668)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aMATRIXu_SUB,axiom,(+ ! [N,M,A5,B0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),B0))))) )).++fof(aMATRIXu_SUBu_REFL,axiom,(+ ! [Q114719,Q114720,A5] : s(cart(cart(real,Q114719),Q114720),i(s(fun(cart(cart(real,Q114719),Q114720),cart(cart(real,Q114719),Q114720)),i(s(fun(cart(cart(real,Q114719),Q114720),fun(cart(cart(real,Q114719),Q114720),cart(cart(real,Q114719),Q114720))),matrixu_sub),s(cart(cart(real,Q114719),Q114720),A5))),s(cart(cart(real,Q114719),Q114720),A5))) = s(cart(cart(real,Q114719),Q114720),i(s(fun(num,cart(cart(real,Q114719),Q114720)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aMATRIXu_ADDu_LDISTRIB,axiom,(+ ! [M,P,N,A5,B0,C0] : s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),N)),i(s(fun(cart(cart(real,P),N),fun(cart(cart(real,P),N),cart(cart(real,P),N))),matrixu_add),s(cart(cart(real,P),N),B0))),s(cart(cart(real,P),N),C0))))) = s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),M),cart(cart(real,P),M)),i(s(fun(cart(cart(real,P),M),fun(cart(cart(real,P),M),cart(cart(real,P),M))),matrixu_add),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))))),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),C0))))) )).++fof(aMATRIXu_MULu_LID,axiom,(+ ! [N,M,A5] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,M),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_mul),s(cart(cart(real,M),M),i(s(fun(num,cart(cart(real,M),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),M),A5) )).++fof(aMATRIXu_MULu_RID,axiom,(+ ! [N,M,A5] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),N),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),N),cart(cart(real,N),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(cart(cart(real,N),M),A5) )).++fof(aMATRIXu_MULu_ASSOC,axiom,(+ ! [M,N,Q,P,A5,B0,C0] : s(cart(cart(real,Q),M),i(s(fun(cart(cart(real,Q),N),cart(cart(real,Q),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,Q),N),cart(cart(real,Q),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,Q),N),i(s(fun(cart(cart(real,Q),P),cart(cart(real,Q),N)),i(s(fun(cart(cart(real,P),N),fun(cart(cart(real,Q),P),cart(cart(real,Q),N))),matrixu_mul),s(cart(cart(real,P),N),B0))),s(cart(cart(real,Q),P),C0))))) = s(cart(cart(real,Q),M),i(s(fun(cart(cart(real,Q),P),cart(cart(real,Q),M)),i(s(fun(cart(cart(real,P),M),fun(cart(cart(real,Q),P),cart(cart(real,Q),M))),matrixu_mul),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))))),s(cart(cart(real,Q),P),C0))) )).++fof(aMATRIXu_MULu_LZERO,axiom,(+ ! [N,P,M,A5] : s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),i(s(fun(num,cart(cart(real,N),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,P),N),A5))) = s(cart(cart(real,P),M),i(s(fun(num,cart(cart(real,P),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aMATRIXu_MULu_RZERO,axiom,(+ ! [N,P,M,A5] : s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),i(s(fun(num,cart(cart(real,P),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(cart(real,P),M),i(s(fun(num,cart(cart(real,P),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aMATRIXu_ADDu_RDISTRIB,axiom,(+ ! [M,P,N,A5,B0,C0] : s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))),s(cart(cart(real,P),N),C0))) = s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),M),cart(cart(real,P),M)),i(s(fun(cart(cart(real,P),M),fun(cart(cart(real,P),M),cart(cart(real,P),M))),matrixu_add),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),C0))))),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),B0))),s(cart(cart(real,P),N),C0))))) )).++fof(aMATRIXu_SUBu_LDISTRIB,axiom,(+ ! [M,P,N,A5,B0,C0] : s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),N)),i(s(fun(cart(cart(real,P),N),fun(cart(cart(real,P),N),cart(cart(real,P),N))),matrixu_sub),s(cart(cart(real,P),N),B0))),s(cart(cart(real,P),N),C0))))) = s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),M),cart(cart(real,P),M)),i(s(fun(cart(cart(real,P),M),fun(cart(cart(real,P),M),cart(cart(real,P),M))),matrixu_sub),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))))),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),C0))))) )).++fof(aMATRIXu_SUBu_RDISTRIB,axiom,(+ ! [M,P,N,A5,B0,C0] : s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))),s(cart(cart(real,P),N),C0))) = s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),M),cart(cart(real,P),M)),i(s(fun(cart(cart(real,P),M),fun(cart(cart(real,P),M),cart(cart(real,P),M))),matrixu_sub),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),C0))))),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),B0))),s(cart(cart(real,P),N),C0))))) )).++fof(aMATRIXu_MULu_LMUL,axiom,(+ ! [M,P,N,A5,B0,C0] : s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),A5))))),s(cart(cart(real,P),N),B0))) = s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),M),cart(cart(real,P),M)),i(s(fun(real,fun(cart(cart(real,P),M),cart(cart(real,P),M))),r_r_),s(real,C0))),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))))) )).++fof(aMATRIXu_MULu_RMUL,axiom,(+ ! [M,P,N,A5,B0,C0] : s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),N)),i(s(fun(real,fun(cart(cart(real,P),N),cart(cart(real,P),N))),r_r_),s(real,C0))),s(cart(cart(real,P),N),B0))))) = s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),M),cart(cart(real,P),M)),i(s(fun(real,fun(cart(cart(real,P),M),cart(cart(real,P),M))),r_r_),s(real,C0))),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))))) )).++fof(aMATRIXu_CMULu_ADDu_LDISTRIB,axiom,(+ ! [N,M,A5,B0,C0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),A5))))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),B0))))) )).++fof(aMATRIXu_CMULu_SUBu_LDISTRIB,axiom,(+ ! [N,M,A5,B0,C0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),A5))))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),B0))))) )).++fof(aMATRIXu_CMULu_ADDu_RDISTRIB,axiom,(+ ! [N,M,A5,B0,C0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,B0))),s(real,C0))))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,B0))),s(cart(cart(real,N),M),A5))))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),A5))))) )).++fof(aMATRIXu_CMULu_SUBu_RDISTRIB,axiom,(+ ! [N,M,A5,B0,C0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,B0))),s(real,C0))))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,B0))),s(cart(cart(real,N),M),A5))))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),A5))))) )).++fof(aMATRIXu_CMULu_RZERO,axiom,(+ ! [Q115612,Q115613,C0] : s(cart(cart(real,Q115612),Q115613),i(s(fun(cart(cart(real,Q115612),Q115613),cart(cart(real,Q115612),Q115613)),i(s(fun(real,fun(cart(cart(real,Q115612),Q115613),cart(cart(real,Q115612),Q115613))),r_r_),s(real,C0))),s(cart(cart(real,Q115612),Q115613),i(s(fun(num,cart(cart(real,Q115612),Q115613)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(cart(real,Q115612),Q115613),i(s(fun(num,cart(cart(real,Q115612),Q115613)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aMATRIXu_CMULu_LZERO,axiom,(+ ! [Q115629,Q115630,A5] : s(cart(cart(real,Q115629),Q115630),i(s(fun(cart(cart(real,Q115629),Q115630),cart(cart(real,Q115629),Q115630)),i(s(fun(real,fun(cart(cart(real,Q115629),Q115630),cart(cart(real,Q115629),Q115630))),r_r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,Q115629),Q115630),A5))) = s(cart(cart(real,Q115629),Q115630),i(s(fun(num,cart(cart(real,Q115629),Q115630)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aMATRIXu_NEGu_MINUS1,axiom,(+ ! [N,M,A5] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(cart(cart(real,N),M),A5))) )).++fof(aMATRIXu_ADDu_ACu_conjunct0,axiom,(+ ! [N,M] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),a))),s(cart(cart(real,N),M),b))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),b))),s(cart(cart(real,N),M),a))) )).++fof(aMATRIXu_ADDu_ACu_conjunct1,axiom,(+ ! [N,M] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),a))),s(cart(cart(real,N),M),b))))),s(cart(cart(real,N),M),c0))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),a))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),b))),s(cart(cart(real,N),M),c0))))) )).++fof(aMATRIXu_ADDu_ACu_conjunct2,axiom,(+ ! [N,M] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),a))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),b))),s(cart(cart(real,N),M),c0))))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),b))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),a))),s(cart(cart(real,N),M),c0))))) )).++fof(aMATRIXu_NEGu_ADD,axiom,(+ ! [N,M,A5,B0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),A5))))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),B0))))) )).++fof(aMATRIXu_NEGu_SUB,axiom,(+ ! [N,M,A5,B0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),B0))),s(cart(cart(real,N),M),A5))) )).++fof(aMATRIXu_NEGu_0,axiom,(+ ! [Q115825,Q115826] : s(cart(cart(real,Q115825),Q115826),i(s(fun(cart(cart(real,Q115825),Q115826),cart(cart(real,Q115825),Q115826)),matrixu_neg),s(cart(cart(real,Q115825),Q115826),i(s(fun(num,cart(cart(real,Q115825),Q115826)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(cart(real,Q115825),Q115826),i(s(fun(num,cart(cart(real,Q115825),Q115826)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aMATRIXu_SUBu_RZERO,axiom,(+ ! [N,M,A5] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),i(s(fun(num,cart(cart(real,N),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(cart(real,N),M),A5) )).++fof(aMATRIXu_SUBu_LZERO,axiom,(+ ! [N,M,A5] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),i(s(fun(num,cart(cart(real,N),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),A5))) )).++fof(aMATRIXu_NEGu_EQu_0,axiom,(+ ! [N,M,A5] :+ ( s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),M),i(s(fun(num,cart(cart(real,N),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(cart(cart(real,N),M),A5) = s(cart(cart(real,N),M),i(s(fun(num,cart(cart(real,N),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aMATRIXu_VECTORu_MULu_ASSOC,axiom,(+ ! [M,N,P,A5,B0,X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),i(s(fun(cart(real,P),cart(real,N)),i(s(fun(cart(cart(real,P),N),fun(cart(real,P),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,P),N),B0))),s(cart(real,P),X))))) = s(cart(real,M),i(s(fun(cart(real,P),cart(real,M)),i(s(fun(cart(cart(real,P),M),fun(cart(real,P),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))))),s(cart(real,P),X))) )).++fof(aMATRIXu_VECTORu_MULu_LID,axiom,(+ ! [N,X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(cart(real,N),N),fun(cart(real,N),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(real,N),X))) = s(cart(real,N),X) )).++fof(aMATRIXu_VECTORu_MULu_LZERO,axiom,(+ ! [N,Q116015,X] : s(cart(real,Q116015),i(s(fun(cart(real,N),cart(real,Q116015)),i(s(fun(cart(cart(real,N),Q116015),fun(cart(real,N),cart(real,Q116015))),matrixu_vectoru_mul),s(cart(cart(real,N),Q116015),i(s(fun(num,cart(cart(real,N),Q116015)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,N),X))) = s(cart(real,Q116015),i(s(fun(num,cart(real,Q116015)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aMATRIXu_VECTORu_MULu_RZERO,axiom,(+ ! [M,N,A5] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),i(s(fun(num,cart(real,M)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aMATRIXu_VECTORu_MULu_ADDu_LDISTRIB,axiom,(+ ! [N,M,A5,X,Y] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(cart(real,M),fun(cart(real,M),cart(real,M))),vectoru_add),s(cart(real,M),X))),s(cart(real,M),Y))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),Y))))) )).++fof(aMATRIXu_VECTORu_MULu_SUBu_LDISTRIB,axiom,(+ ! [N,M,A5,X,Y] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(cart(real,M),fun(cart(real,M),cart(real,M))),vectoru_sub),s(cart(real,M),X))),s(cart(real,M),Y))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),Y))))) )).++fof(aMATRIXu_VECTORu_MULu_ADDu_RDISTRIB,axiom,(+ ! [N,M,A5,B0,X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,M),N),cart(cart(real,M),N))),matrixu_add),s(cart(cart(real,M),N),A5))),s(cart(cart(real,M),N),B0))))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),B0))),s(cart(real,M),X))))) )).++fof(aMATRIXu_VECTORu_MULu_SUBu_RDISTRIB,axiom,(+ ! [N,M,A5,B0,X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,M),N),cart(cart(real,M),N))),matrixu_sub),s(cart(cart(real,M),N),A5))),s(cart(cart(real,M),N),B0))))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),B0))),s(cart(real,M),X))))) )).++fof(aMATRIXu_VECTORu_MULu_RMUL,axiom,(+ ! [N,M,A5,X,C0] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(real,fun(cart(real,M),cart(real,M))),r_),s(real,C0))),s(cart(real,M),X))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))))) )).++fof(aMATRIXu_TRANSPu_MUL,axiom,(+ ! [Q116425,Q116423,Q116424,A5,B0] : s(cart(cart(real,Q116424),Q116425),i(s(fun(cart(cart(real,Q116425),Q116424),cart(cart(real,Q116424),Q116425)),transp),s(cart(cart(real,Q116425),Q116424),i(s(fun(cart(cart(real,Q116425),Q116423),cart(cart(real,Q116425),Q116424)),i(s(fun(cart(cart(real,Q116423),Q116424),fun(cart(cart(real,Q116425),Q116423),cart(cart(real,Q116425),Q116424))),matrixu_mul),s(cart(cart(real,Q116423),Q116424),A5))),s(cart(cart(real,Q116425),Q116423),B0))))) = s(cart(cart(real,Q116424),Q116425),i(s(fun(cart(cart(real,Q116424),Q116423),cart(cart(real,Q116424),Q116425)),i(s(fun(cart(cart(real,Q116423),Q116425),fun(cart(cart(real,Q116424),Q116423),cart(cart(real,Q116424),Q116425))),matrixu_mul),s(cart(cart(real,Q116423),Q116425),i(s(fun(cart(cart(real,Q116425),Q116423),cart(cart(real,Q116423),Q116425)),transp),s(cart(cart(real,Q116425),Q116423),B0))))),s(cart(cart(real,Q116424),Q116423),i(s(fun(cart(cart(real,Q116423),Q116424),cart(cart(real,Q116424),Q116423)),transp),s(cart(cart(real,Q116423),Q116424),A5))))) )).++fof(aMATRIXu_EQ,axiom,(+ ! [M,N,A5,B0] :+ ( s(cart(cart(real,N),M),A5) = s(cart(cart(real,N),M),B0)+ <=> ! [X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))) = s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),B0))),s(cart(real,N),X))) ) )).++fof(aMATRIXu_VECTORu_MULu_COMPONENT,axiom,(+ ! [M,N,A5,X,K0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,K0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,K0))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ)))))) )+ => s(real,i(s(fun(num,real),i(s(fun(cart(real,M),fun(num,real)),d_),s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))))),s(num,K0))) = s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,K0))))),s(cart(real,N),X))) ) )).++fof(aDOTu_LMULu_MATRIX,axiom,(+ ! [M,N,A5,X,Y] : s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(cart(cart(real,N),M),cart(real,N)),i(s(fun(cart(real,M),fun(cart(cart(real,N),M),cart(real,N))),vectoru_matrixu_mul),s(cart(real,M),X))),s(cart(cart(real,N),M),A5))))),s(cart(real,N),Y))) = s(real,i(s(fun(cart(real,M),real),i(s(fun(cart(real,M),fun(cart(real,M),real)),dot),s(cart(real,M),X))),s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),Y))))) )).++fof(aTRANSPu_MATRIXu_CMUL,axiom,(+ ! [M,N,A5,C0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,N),M)),transp),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),N)),i(s(fun(real,fun(cart(cart(real,M),N),cart(cart(real,M),N))),r_r_),s(real,C0))),s(cart(cart(real,M),N),A5))))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(real,fun(cart(cart(real,N),M),cart(cart(real,N),M))),r_r_),s(real,C0))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,N),M)),transp),s(cart(cart(real,M),N),A5))))) )).++fof(aTRANSPu_MATRIXu_ADD,axiom,(+ ! [N,M,A5,B0] : s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))) = s(cart(cart(real,M),N),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,M),N),cart(cart(real,M),N))),matrixu_add),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),B0))))) )).++fof(aTRANSPu_MATRIXu_SUB,axiom,(+ ! [N,M,A5,B0] : s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))))) = s(cart(cart(real,M),N),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,M),N),cart(cart(real,M),N))),matrixu_sub),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),B0))))) )).++fof(aTRANSPu_MATRIXu_NEG,axiom,(+ ! [N,M,A5] : s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),A5))))) = s(cart(cart(real,M),N),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),N)),matrixu_neg),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))) )).++fof(aTRANSPu_MAT,axiom,(+ ! [Q116735,Q116736,N0] : s(cart(cart(real,Q116735),Q116736),i(s(fun(cart(cart(real,Q116736),Q116735),cart(cart(real,Q116735),Q116736)),transp),s(cart(cart(real,Q116736),Q116735),i(s(fun(num,cart(cart(real,Q116736),Q116735)),mat),s(num,N0))))) = s(cart(cart(real,Q116735),Q116736),i(s(fun(num,cart(cart(real,Q116735),Q116736)),mat),s(num,N0))) )).++fof(aTRANSPu_TRANSP,axiom,(+ ! [N,M,A5] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,N),M)),transp),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))) = s(cart(cart(real,N),M),A5) )).++fof(aTRANSPu_EQ,axiom,(+ ! [M,N,A5,B0] :+ ( s(cart(cart(real,N),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,N),M)),transp),s(cart(cart(real,M),N),A5))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,N),M)),transp),s(cart(cart(real,M),N),B0)))+ <=> s(cart(cart(real,M),N),A5) = s(cart(cart(real,M),N),B0) ) )).++fof(aROWu_TRANSP,axiom,(+ ! [N,M,A5,I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(cart(real,M),i(s(fun(cart(cart(real,M),N),cart(real,M)),i(s(fun(num,fun(cart(cart(real,M),N),cart(real,M))),row),s(num,I0))),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))) = s(cart(real,M),i(s(fun(cart(cart(real,N),M),cart(real,M)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,M))),column),s(num,I0))),s(cart(cart(real,N),M),A5))) ) )).++fof(aCOLUMNu_TRANSP,axiom,(+ ! [N,M,A5,I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ)))))) )+ => s(cart(real,N),i(s(fun(cart(cart(real,M),N),cart(real,N)),i(s(fun(num,fun(cart(cart(real,M),N),cart(real,N))),column),s(num,I0))),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))) = s(cart(real,N),i(s(fun(cart(cart(real,N),M),cart(real,N)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,N))),row),s(num,I0))),s(cart(cart(real,N),M),A5))) ) )).++fof(aROWSu_TRANSP,axiom,(+ ! [N,M,A5] : s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),bool)),rows),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))) = s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,M),bool)),columns),s(cart(cart(real,N),M),A5))) )).++fof(aCOLUMNSu_TRANSP,axiom,(+ ! [N,M,A5] : s(fun(cart(real,N),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,N),bool)),columns),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))) = s(fun(cart(real,N),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),bool)),rows),s(cart(cart(real,N),M),A5))) )).++fof(aVECTORu_MATRIXu_MULu_TRANSP,axiom,(+ ! [M,N,A5,X] : s(cart(real,M),i(s(fun(cart(cart(real,M),N),cart(real,M)),i(s(fun(cart(real,N),fun(cart(cart(real,M),N),cart(real,M))),vectoru_matrixu_mul),s(cart(real,N),X))),s(cart(cart(real,M),N),A5))) = s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,N),M)),transp),s(cart(cart(real,M),N),A5))))),s(cart(real,N),X))) )).++fof(aMATRIXu_VECTORu_MULu_TRANSP,axiom,(+ ! [M,N,A5,X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(cart(real,N),M),cart(real,N)),i(s(fun(cart(real,M),fun(cart(cart(real,N),M),cart(real,N))),vectoru_matrixu_mul),s(cart(real,M),X))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,N),M)),transp),s(cart(cart(real,M),N),A5))))) )).++fof(aFINITEu_ROWS,axiom,(+ ! [N,M,A5] : p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),bool)),rows),s(cart(cart(real,N),M),A5)))))) )).++fof(aFINITEu_COLUMNS,axiom,(+ ! [N,M,A5] : p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),finite),s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,M),bool)),columns),s(cart(cart(real,N),M),A5)))))) )).++fof(aMATRIXu_EQUALu_ROWS,axiom,(+ ! [N,M,A5,B0] :+ ( s(cart(cart(real,N),M),A5) = s(cart(cart(real,N),M),B0)+ <=> ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ)))))) )+ => s(cart(real,N),i(s(fun(cart(cart(real,N),M),cart(real,N)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,N))),row),s(num,I0))),s(cart(cart(real,N),M),A5))) = s(cart(real,N),i(s(fun(cart(cart(real,N),M),cart(real,N)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,N))),row),s(num,I0))),s(cart(cart(real,N),M),B0))) ) ) )).++fof(aMATRIXu_EQUALu_COLUMNS,axiom,(+ ! [N,M,A5,B0] :+ ( s(cart(cart(real,N),M),A5) = s(cart(cart(real,N),M),B0)+ <=> ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(cart(real,M),i(s(fun(cart(cart(real,N),M),cart(real,M)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,M))),column),s(num,I0))),s(cart(cart(real,N),M),A5))) = s(cart(real,M),i(s(fun(cart(cart(real,N),M),cart(real,M)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,M))),column),s(num,I0))),s(cart(cart(real,N),M),B0))) ) ) )).++fof(aMATRIXu_MULu_DOT,axiom,(+ ! [M,N,U_0] :+ ( ! [A5,X,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),fun(num,real))),U_0),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))),s(num,I0))) = s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),d_),s(cart(cart(real,N),M),A5))),s(num,I0))))),s(cart(real,N),X)))+ => ! [A5,X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))) = s(cart(real,M),i(s(fun(fun(num,real),cart(real,M)),lambda),s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),fun(num,real))),U_0),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))))) ) )).++fof(aMATRIXu_MULu_VSUM,axiom,(+ ! [N,M,U_0] :+ ( ! [X,A5,I0] : s(cart(real,M),i(s(fun(num,cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,M))),i(s(fun(cart(real,N),fun(cart(cart(real,N),M),fun(num,cart(real,M)))),U_0),s(cart(real,N),X))),s(cart(cart(real,N),M),A5))),s(num,I0))) = s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(real,fun(cart(real,M),cart(real,M))),r_),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))),s(cart(real,M),i(s(fun(cart(cart(real,N),M),cart(real,M)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,M))),column),s(num,I0))),s(cart(cart(real,N),M),A5)))))+ => ! [A5,X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))) = s(cart(real,M),i(s(fun(fun(num,cart(real,M)),cart(real,M)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,M)),cart(real,M))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(fun(num,cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,M))),i(s(fun(cart(real,N),fun(cart(cart(real,N),M),fun(num,cart(real,M)))),U_0),s(cart(real,N),X))),s(cart(cart(real,N),M),A5))))) ) )).++fof(aVECTORu_COMPONENTWISE,axiom,(+ ! [N,U_1] :+ ( ! [X,J0,I0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(real,N),fun(num,fun(num,real))),U_1),s(cart(real,N),X))),s(num,J0))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0))))),s(num,J0)))))+ => ! [U_0] :+ ( ! [X,J0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),U_0),s(cart(real,N),X))),s(num,J0))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(real,N),fun(num,fun(num,real))),U_1),s(cart(real,N),X))),s(num,J0)))))+ => ! [X] : s(cart(real,N),X) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),U_0),s(cart(real,N),X))))) ) ) )).++fof(aLINEARu_COMPONENTWISE,axiom,(+ ! [M,N,U_0] :+ ( ! [X,F0,J0,I0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(num,fun(num,real))),i(s(fun(cart(real,M),fun(fun(cart(real,M),cart(real,N)),fun(num,fun(num,real)))),U_0),s(cart(real,M),X))),s(fun(cart(real,M),cart(real,N)),F0))),s(num,J0))),s(num,I0))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),i(s(fun(cart(real,M),fun(num,real)),d_),s(cart(real,M),X))),s(num,I0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),i(s(fun(num,cart(real,M)),basis),s(num,I0))))))),s(num,J0)))))+ => ! [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ! [X,J0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,J0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,J0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))),s(num,J0))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))))))),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(num,fun(num,real))),i(s(fun(cart(real,M),fun(fun(cart(real,M),cart(real,N)),fun(num,fun(num,real)))),U_0),s(cart(real,M),X))),s(fun(cart(real,M),cart(real,N)),F0))),s(num,J0))))) ) ) ) )).++fof(ainvertible,axiom,(+ ! [M,N,A5] :+ ( p(s(bool,i(s(fun(cart(cart(real,N),M),bool),invertible),s(cart(cart(real,N),M),A5))))+ <=> ? [AI_] :+ ( s(cart(cart(real,M),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),cart(cart(real,M),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,M),N),AI_))) = s(cart(cart(real,M),M),i(s(fun(num,cart(cart(real,M),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ & s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,N),M),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,M),N),AI_))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) ) )).++fof(amatrixu_inv,axiom,(+ ! [N,M,U_0] :+ ( ! [A5,AI_] :+ ( p(s(bool,i(s(fun(cart(cart(real,M),N),bool),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),bool)),U_0),s(cart(cart(real,N),M),A5))),s(cart(cart(real,M),N),AI_))))+ <=> ( s(cart(cart(real,M),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),cart(cart(real,M),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,M),N),AI_))) = s(cart(cart(real,M),M),i(s(fun(num,cart(cart(real,M),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ & s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,N),M),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,M),N),AI_))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )+ => ! [A5] : s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),matrixu_inv),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,M),N),i(s(fun(fun(cart(cart(real,M),N),bool),cart(cart(real,M),N)),h_),s(fun(cart(cart(real,M),N),bool),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),bool)),U_0),s(cart(cart(real,N),M),A5))))) ) )).++fof(aMATRIXu_INV,axiom,(+ ! [M,N,A5] :+ ( p(s(bool,i(s(fun(cart(cart(real,N),M),bool),invertible),s(cart(cart(real,N),M),A5))))+ => ( s(cart(cart(real,M),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),cart(cart(real,M),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),matrixu_inv),s(cart(cart(real,N),M),A5))))) = s(cart(cart(real,M),M),i(s(fun(num,cart(cart(real,M),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ & s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,N),M),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),matrixu_inv),s(cart(cart(real,N),M),A5))))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) ) )).++fof(amatrix,axiom,(+ ! [M,N,U_1] :+ ( ! [F0,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(num,fun(num,real))),U_1),s(fun(cart(real,M),cart(real,N)),F0))),s(num,I0))),s(num,J0))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),i(s(fun(num,cart(real,M)),basis),s(num,J0))))))),s(num,I0)))+ => ! [U_0] :+ ( ! [F0,I0] : s(cart(real,M),i(s(fun(num,cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(num,cart(real,M))),U_0),s(fun(cart(real,M),cart(real,N)),F0))),s(num,I0))) = s(cart(real,M),i(s(fun(fun(num,real),cart(real,M)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(num,fun(num,real))),U_1),s(fun(cart(real,M),cart(real,N)),F0))),s(num,I0)))))+ => ! [F0] : s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))) = s(cart(cart(real,M),N),i(s(fun(fun(num,cart(real,M)),cart(cart(real,M),N)),lambda),s(fun(num,cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(num,cart(real,M))),U_0),s(fun(cart(real,M),cart(real,N)),F0))))) ) ) )).++fof(aMATRIXu_VECTORu_MULu_LINEAR,axiom,(+ ! [N,M,U_0] :+ ( ! [A5,X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),U_0),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))) = s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X)))+ => ! [A5] : p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),U_0),s(cart(cart(real,N),M),A5)))))) ) )).++fof(aMATRIXu_WORKS,axiom,(+ ! [N,M,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ! [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) ) )).++fof(aMATRIXu_VECTORu_MUL,axiom,(+ ! [N,M,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ! [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(real,M),X))) ) )).++fof(aMATRIXu_OFu_MATRIXu_VECTORu_MUL,axiom,(+ ! [N,M,U_0] :+ ( ! [A5,X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),U_0),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))) = s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X)))+ => ! [A5] : s(cart(cart(real,N),M),i(s(fun(fun(cart(real,N),cart(real,M)),cart(cart(real,N),M)),matrix),s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),U_0),s(cart(cart(real,N),M),A5))))) = s(cart(cart(real,N),M),A5) ) )).++fof(aMATRIXu_COMPOSE,axiom,(+ ! [Q117654,Q117653,Q117652,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q117653),cart(real,Q117652)),bool),linear),s(fun(cart(real,Q117653),cart(real,Q117652)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q117652),cart(real,Q117654)),bool),linear),s(fun(cart(real,Q117652),cart(real,Q117654)),G0)))) )+ => s(cart(cart(real,Q117653),Q117654),i(s(fun(fun(cart(real,Q117653),cart(real,Q117654)),cart(cart(real,Q117653),Q117654)),matrix),s(fun(cart(real,Q117653),cart(real,Q117654)),i(s(fun(fun(cart(real,Q117653),cart(real,Q117652)),fun(cart(real,Q117653),cart(real,Q117654))),i(s(fun(fun(cart(real,Q117652),cart(real,Q117654)),fun(fun(cart(real,Q117653),cart(real,Q117652)),fun(cart(real,Q117653),cart(real,Q117654)))),o),s(fun(cart(real,Q117652),cart(real,Q117654)),G0))),s(fun(cart(real,Q117653),cart(real,Q117652)),F0))))) = s(cart(cart(real,Q117653),Q117654),i(s(fun(cart(cart(real,Q117653),Q117652),cart(cart(real,Q117653),Q117654)),i(s(fun(cart(cart(real,Q117652),Q117654),fun(cart(cart(real,Q117653),Q117652),cart(cart(real,Q117653),Q117654))),matrixu_mul),s(cart(cart(real,Q117652),Q117654),i(s(fun(fun(cart(real,Q117652),cart(real,Q117654)),cart(cart(real,Q117652),Q117654)),matrix),s(fun(cart(real,Q117652),cart(real,Q117654)),G0))))),s(cart(cart(real,Q117653),Q117652),i(s(fun(fun(cart(real,Q117653),cart(real,Q117652)),cart(cart(real,Q117653),Q117652)),matrix),s(fun(cart(real,Q117653),cart(real,Q117652)),F0))))) ) )).++fof(aMATRIXu_VECTORu_COLUMN,axiom,(+ ! [N,M,U_0] :+ ( ! [X,A5,I0] : s(cart(real,M),i(s(fun(num,cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,M))),i(s(fun(cart(real,N),fun(cart(cart(real,N),M),fun(num,cart(real,M)))),U_0),s(cart(real,N),X))),s(cart(cart(real,N),M),A5))),s(num,I0))) = s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(real,fun(cart(real,M),cart(real,M))),r_),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))),s(cart(real,M),i(s(fun(num,cart(real,M)),i(s(fun(cart(cart(real,M),N),fun(num,cart(real,M))),d_),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))),s(num,I0)))))+ => ! [A5,X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))) = s(cart(real,M),i(s(fun(fun(num,cart(real,M)),cart(real,M)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,M)),cart(real,M))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(fun(num,cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,M))),i(s(fun(cart(real,N),fun(cart(cart(real,N),M),fun(num,cart(real,M)))),U_0),s(cart(real,N),X))),s(cart(cart(real,N),M),A5))))) ) )).++fof(aMATRIXu_MULu_COMPONENT,axiom,(+ ! [N,I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),N),fun(num,cart(real,N))),d_),s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),N),cart(cart(real,N),N)),i(s(fun(cart(cart(real,N),N),fun(cart(cart(real,N),N),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,N),N),a))),s(cart(cart(real,N),N),b))))),s(num,I0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(cart(real,N),N),fun(cart(real,N),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),N),cart(cart(real,N),N)),transp),s(cart(cart(real,N),N),b))))),s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),N),fun(num,cart(real,N))),d_),s(cart(cart(real,N),N),a))),s(num,I0))))) ) )).++fof(aADJOINTu_MATRIX,axiom,(+ ! [N,M,U_0] :+ ( ! [A5,X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),U_0),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))) = s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X)))+ => ! [A5,X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,M)),fun(cart(real,M),cart(real,N))),adjoint),s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),U_0),s(cart(cart(real,N),M),A5))))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))),s(cart(real,M),X))) ) )).++fof(aMATRIXu_ADJOINT,axiom,(+ ! [Q117843,Q117844,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q117843),cart(real,Q117844)),bool),linear),s(fun(cart(real,Q117843),cart(real,Q117844)),F0))))+ => s(cart(cart(real,Q117844),Q117843),i(s(fun(fun(cart(real,Q117844),cart(real,Q117843)),cart(cart(real,Q117844),Q117843)),matrix),s(fun(cart(real,Q117844),cart(real,Q117843)),i(s(fun(fun(cart(real,Q117843),cart(real,Q117844)),fun(cart(real,Q117844),cart(real,Q117843))),adjoint),s(fun(cart(real,Q117843),cart(real,Q117844)),F0))))) = s(cart(cart(real,Q117844),Q117843),i(s(fun(cart(cart(real,Q117843),Q117844),cart(cart(real,Q117844),Q117843)),transp),s(cart(cart(real,Q117843),Q117844),i(s(fun(fun(cart(real,Q117843),cart(real,Q117844)),cart(cart(real,Q117843),Q117844)),matrix),s(fun(cart(real,Q117843),cart(real,Q117844)),F0))))) ) )).++fof(aMATRIXu_ID,axiom,(+ ! [Q117856,U_0] :+ ( ! [X] : s(cart(real,Q117856),i(s(fun(cart(real,Q117856),cart(real,Q117856)),U_0),s(cart(real,Q117856),X))) = s(cart(real,Q117856),X)+ => s(cart(cart(real,Q117856),Q117856),i(s(fun(fun(cart(real,Q117856),cart(real,Q117856)),cart(cart(real,Q117856),Q117856)),matrix),s(fun(cart(real,Q117856),cart(real,Q117856)),U_0))) = s(cart(cart(real,Q117856),Q117856),i(s(fun(num,cart(cart(real,Q117856),Q117856)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )).++fof(aMATRIXu_I,axiom,(+ ! [Q117867] : s(cart(cart(real,Q117867),Q117867),i(s(fun(fun(cart(real,Q117867),cart(real,Q117867)),cart(cart(real,Q117867),Q117867)),matrix),s(fun(cart(real,Q117867),cart(real,Q117867)),i1))) = s(cart(cart(real,Q117867),Q117867),i(s(fun(num,cart(cart(real,Q117867),Q117867)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )).++fof(aLINEARu_EQu_MATRIX,axiom,(+ ! [Q117887,Q117888,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q117887),cart(real,Q117888)),bool),linear),s(fun(cart(real,Q117887),cart(real,Q117888)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q117887),cart(real,Q117888)),bool),linear),s(fun(cart(real,Q117887),cart(real,Q117888)),G0))))+ & s(cart(cart(real,Q117887),Q117888),i(s(fun(fun(cart(real,Q117887),cart(real,Q117888)),cart(cart(real,Q117887),Q117888)),matrix),s(fun(cart(real,Q117887),cart(real,Q117888)),F0))) = s(cart(cart(real,Q117887),Q117888),i(s(fun(fun(cart(real,Q117887),cart(real,Q117888)),cart(cart(real,Q117887),Q117888)),matrix),s(fun(cart(real,Q117887),cart(real,Q117888)),G0))) )+ => s(fun(cart(real,Q117887),cart(real,Q117888)),F0) = s(fun(cart(real,Q117887),cart(real,Q117888)),G0) ) )).++fof(aMATRIXu_SELFu_ADJOINT,axiom,(+ ! [Q117930,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q117930),cart(real,Q117930)),bool),linear),s(fun(cart(real,Q117930),cart(real,Q117930)),F0))))+ => ( s(fun(cart(real,Q117930),cart(real,Q117930)),i(s(fun(fun(cart(real,Q117930),cart(real,Q117930)),fun(cart(real,Q117930),cart(real,Q117930))),adjoint),s(fun(cart(real,Q117930),cart(real,Q117930)),F0))) = s(fun(cart(real,Q117930),cart(real,Q117930)),F0)+ <=> s(cart(cart(real,Q117930),Q117930),i(s(fun(cart(cart(real,Q117930),Q117930),cart(cart(real,Q117930),Q117930)),transp),s(cart(cart(real,Q117930),Q117930),i(s(fun(fun(cart(real,Q117930),cart(real,Q117930)),cart(cart(real,Q117930),Q117930)),matrix),s(fun(cart(real,Q117930),cart(real,Q117930)),F0))))) = s(cart(cart(real,Q117930),Q117930),i(s(fun(fun(cart(real,Q117930),cart(real,Q117930)),cart(cart(real,Q117930),Q117930)),matrix),s(fun(cart(real,Q117930),cart(real,Q117930)),F0))) ) ) )).++fof(aLINEARu_MATRIXu_EXISTS,axiom,(+ ! [N,M,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ <=> ? [A5] :+ ! [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) ) )).++fof(aLINEARu_1,axiom,(+ ! [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,n10),cart(real,n10)),bool),linear),s(fun(cart(real,n10),cart(real,n10)),F0))))+ <=> ? [C0] :+ ! [X] : s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),F0),s(cart(real,n10),X))) = s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(real,fun(cart(real,n10),cart(real,n10))),r_),s(real,C0))),s(cart(real,n10),X))) ) )).++fof(aonorm,axiom,(+ ! [M,N,U_0] :+ ( ! [F0,GENR_PVARR_293] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(real,bool)),U_0),s(fun(cart(real,M),cart(real,N)),F0))),s(real,GENR_PVARR_293))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )+ & p(s(bool,i(s(fun(real,bool),i(s(fun(bool,fun(real,bool)),i(s(fun(real,fun(bool,fun(real,bool))),setspec),s(real,GENR_PVARR_293))),s(bool,V))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X)))))))) ) )+ => ! [F0] : s(real,i(s(fun(fun(cart(real,M),cart(real,N)),real),onorm),s(fun(cart(real,M),cart(real,N)),F0))) = s(real,i(s(fun(fun(real,bool),real),sup),s(fun(real,bool),i(s(fun(fun(real,bool),fun(real,bool)),gspec),s(fun(real,bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(real,bool)),U_0),s(fun(cart(real,M),cart(real,N)),F0))))))) ) )).++fof(aNORMu_BOUNDu_GENERALIZE,axiom,(+ ! [N,M,F0,B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ( ! [X] :+ ( s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))))),s(real,B0)))) )+ <=> ! [X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,B0))),s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X)))))))) ) ) )).++fof(aONORM,axiom,(+ ! [M,N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ( ! [X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(fun(cart(real,M),cart(real,N)),real),onorm),s(fun(cart(real,M),cart(real,N)),F0))))),s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))))))))+ & ! [B0] :+ ( ! [X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,B0))),s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))))))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(cart(real,M),cart(real,N)),real),onorm),s(fun(cart(real,M),cart(real,N)),F0))))),s(real,B0)))) ) ) ) )).++fof(aONORMu_POSu_LE,axiom,(+ ! [Q118203,Q118204,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q118203),cart(real,Q118204)),bool),linear),s(fun(cart(real,Q118203),cart(real,Q118204)),F0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(fun(cart(real,Q118203),cart(real,Q118204)),real),onorm),s(fun(cart(real,Q118203),cart(real,Q118204)),F0)))))) ) )).++fof(aONORMu_EQu_0,axiom,(+ ! [M,N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ( s(real,i(s(fun(fun(cart(real,M),cart(real,N)),real),onorm),s(fun(cart(real,M),cart(real,N)),F0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> ! [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aONORMu_CONST,axiom,(+ ! [M,N,U_0] :+ ( ! [Y,X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,M),cart(real,N))),U_0),s(cart(real,N),Y))),s(cart(real,M),X))) = s(cart(real,N),Y)+ => ! [Y] : s(real,i(s(fun(fun(cart(real,M),cart(real,N)),real),onorm),s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,M),cart(real,N))),U_0),s(cart(real,N),Y))))) = s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y))) ) )).++fof(aONORMu_POSu_LT,axiom,(+ ! [Q118333,Q118355,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q118333),cart(real,Q118355)),bool),linear),s(fun(cart(real,Q118333),cart(real,Q118355)),F0))))+ => ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(fun(cart(real,Q118333),cart(real,Q118355)),real),onorm),s(fun(cart(real,Q118333),cart(real,Q118355)),F0))))))+ <=> ~ ! [X] : s(cart(real,Q118355),i(s(fun(cart(real,Q118333),cart(real,Q118355)),F0),s(cart(real,Q118333),X))) = s(cart(real,Q118355),i(s(fun(num,cart(real,Q118355)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aONORMu_COMPOSE,axiom,(+ ! [Q118371,Q118373,Q118374,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q118374),cart(real,Q118371)),bool),linear),s(fun(cart(real,Q118374),cart(real,Q118371)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q118373),cart(real,Q118374)),bool),linear),s(fun(cart(real,Q118373),cart(real,Q118374)),G0)))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(cart(real,Q118373),cart(real,Q118371)),real),onorm),s(fun(cart(real,Q118373),cart(real,Q118371)),i(s(fun(fun(cart(real,Q118373),cart(real,Q118374)),fun(cart(real,Q118373),cart(real,Q118371))),i(s(fun(fun(cart(real,Q118374),cart(real,Q118371)),fun(fun(cart(real,Q118373),cart(real,Q118374)),fun(cart(real,Q118373),cart(real,Q118371)))),o),s(fun(cart(real,Q118374),cart(real,Q118371)),F0))),s(fun(cart(real,Q118373),cart(real,Q118374)),G0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(fun(cart(real,Q118374),cart(real,Q118371)),real),onorm),s(fun(cart(real,Q118374),cart(real,Q118371)),F0))))),s(real,i(s(fun(fun(cart(real,Q118373),cart(real,Q118374)),real),onorm),s(fun(cart(real,Q118373),cart(real,Q118374)),G0)))))))) ) )).++fof(aONORMu_NEGu_LEMMA,axiom,(+ ! [Q118409,Q118421,U_0] :+ ( ! [F0,X] : s(cart(real,Q118421),i(s(fun(cart(real,Q118409),cart(real,Q118421)),i(s(fun(fun(cart(real,Q118409),cart(real,Q118421)),fun(cart(real,Q118409),cart(real,Q118421))),U_0),s(fun(cart(real,Q118409),cart(real,Q118421)),F0))),s(cart(real,Q118409),X))) = s(cart(real,Q118421),i(s(fun(cart(real,Q118421),cart(real,Q118421)),vectoru_neg),s(cart(real,Q118421),i(s(fun(cart(real,Q118409),cart(real,Q118421)),F0),s(cart(real,Q118409),X)))))+ => ! [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q118409),cart(real,Q118421)),bool),linear),s(fun(cart(real,Q118409),cart(real,Q118421)),F0))))+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(cart(real,Q118409),cart(real,Q118421)),real),onorm),s(fun(cart(real,Q118409),cart(real,Q118421)),i(s(fun(fun(cart(real,Q118409),cart(real,Q118421)),fun(cart(real,Q118409),cart(real,Q118421))),U_0),s(fun(cart(real,Q118409),cart(real,Q118421)),F0))))))),s(real,i(s(fun(fun(cart(real,Q118409),cart(real,Q118421)),real),onorm),s(fun(cart(real,Q118409),cart(real,Q118421)),F0)))))) ) ) )).++fof(aONORMu_NEG,axiom,(+ ! [M,N,U_0] :+ ( ! [F0,X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,N))),U_0),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),vectoru_neg),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X)))))+ => ! [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => s(real,i(s(fun(fun(cart(real,M),cart(real,N)),real),onorm),s(fun(cart(real,M),cart(real,N)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,N))),U_0),s(fun(cart(real,M),cart(real,N)),F0))))) = s(real,i(s(fun(fun(cart(real,M),cart(real,N)),real),onorm),s(fun(cart(real,M),cart(real,N)),F0))) ) ) )).++fof(aONORMu_TRIANGLE,axiom,(+ ! [M,N,U_0] :+ ( ! [F0,G0,X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,N))),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,N)))),U_0),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),cart(real,N)),G0))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),G0),s(cart(real,M),X)))))+ => ! [F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),G0)))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(cart(real,M),cart(real,N)),real),onorm),s(fun(cart(real,M),cart(real,N)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,N))),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,N)))),U_0),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),cart(real,N)),G0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(cart(real,M),cart(real,N)),real),onorm),s(fun(cart(real,M),cart(real,N)),F0))))),s(real,i(s(fun(fun(cart(real,M),cart(real,N)),real),onorm),s(fun(cart(real,M),cart(real,N)),G0)))))))) ) ) )).++fof(aONORMu_TRIANGLEu_LE,axiom,(+ ! [Q118562,Q118573,U_0] :+ ( ! [F0,G0,X] : s(cart(real,Q118573),i(s(fun(cart(real,Q118562),cart(real,Q118573)),i(s(fun(fun(cart(real,Q118562),cart(real,Q118573)),fun(cart(real,Q118562),cart(real,Q118573))),i(s(fun(fun(cart(real,Q118562),cart(real,Q118573)),fun(fun(cart(real,Q118562),cart(real,Q118573)),fun(cart(real,Q118562),cart(real,Q118573)))),U_0),s(fun(cart(real,Q118562),cart(real,Q118573)),F0))),s(fun(cart(real,Q118562),cart(real,Q118573)),G0))),s(cart(real,Q118562),X))) = s(cart(real,Q118573),i(s(fun(cart(real,Q118573),cart(real,Q118573)),i(s(fun(cart(real,Q118573),fun(cart(real,Q118573),cart(real,Q118573))),vectoru_add),s(cart(real,Q118573),i(s(fun(cart(real,Q118562),cart(real,Q118573)),F0),s(cart(real,Q118562),X))))),s(cart(real,Q118573),i(s(fun(cart(real,Q118562),cart(real,Q118573)),G0),s(cart(real,Q118562),X)))))+ => ! [F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q118562),cart(real,Q118573)),bool),linear),s(fun(cart(real,Q118562),cart(real,Q118573)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q118562),cart(real,Q118573)),bool),linear),s(fun(cart(real,Q118562),cart(real,Q118573)),G0))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(cart(real,Q118562),cart(real,Q118573)),real),onorm),s(fun(cart(real,Q118562),cart(real,Q118573)),F0))))),s(real,i(s(fun(fun(cart(real,Q118562),cart(real,Q118573)),real),onorm),s(fun(cart(real,Q118562),cart(real,Q118573)),G0))))))),s(real,e0)))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(fun(cart(real,Q118562),cart(real,Q118573)),real),onorm),s(fun(cart(real,Q118562),cart(real,Q118573)),i(s(fun(fun(cart(real,Q118562),cart(real,Q118573)),fun(cart(real,Q118562),cart(real,Q118573))),i(s(fun(fun(cart(real,Q118562),cart(real,Q118573)),fun(fun(cart(real,Q118562),cart(real,Q118573)),fun(cart(real,Q118562),cart(real,Q118573)))),U_0),s(fun(cart(real,Q118562),cart(real,Q118573)),F0))),s(fun(cart(real,Q118562),cart(real,Q118573)),G0))))))),s(real,e0)))) ) ) )).++fof(aONORMu_TRIANGLEu_LT,axiom,(+ ! [Q118614,Q118625,U_0] :+ ( ! [F0,G0,X] : s(cart(real,Q118625),i(s(fun(cart(real,Q118614),cart(real,Q118625)),i(s(fun(fun(cart(real,Q118614),cart(real,Q118625)),fun(cart(real,Q118614),cart(real,Q118625))),i(s(fun(fun(cart(real,Q118614),cart(real,Q118625)),fun(fun(cart(real,Q118614),cart(real,Q118625)),fun(cart(real,Q118614),cart(real,Q118625)))),U_0),s(fun(cart(real,Q118614),cart(real,Q118625)),F0))),s(fun(cart(real,Q118614),cart(real,Q118625)),G0))),s(cart(real,Q118614),X))) = s(cart(real,Q118625),i(s(fun(cart(real,Q118625),cart(real,Q118625)),i(s(fun(cart(real,Q118625),fun(cart(real,Q118625),cart(real,Q118625))),vectoru_add),s(cart(real,Q118625),i(s(fun(cart(real,Q118614),cart(real,Q118625)),F0),s(cart(real,Q118614),X))))),s(cart(real,Q118625),i(s(fun(cart(real,Q118614),cart(real,Q118625)),G0),s(cart(real,Q118614),X)))))+ => ! [F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q118614),cart(real,Q118625)),bool),linear),s(fun(cart(real,Q118614),cart(real,Q118625)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q118614),cart(real,Q118625)),bool),linear),s(fun(cart(real,Q118614),cart(real,Q118625)),G0))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(fun(cart(real,Q118614),cart(real,Q118625)),real),onorm),s(fun(cart(real,Q118614),cart(real,Q118625)),F0))))),s(real,i(s(fun(fun(cart(real,Q118614),cart(real,Q118625)),real),onorm),s(fun(cart(real,Q118614),cart(real,Q118625)),G0))))))),s(real,e0)))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(fun(cart(real,Q118614),cart(real,Q118625)),real),onorm),s(fun(cart(real,Q118614),cart(real,Q118625)),i(s(fun(fun(cart(real,Q118614),cart(real,Q118625)),fun(cart(real,Q118614),cart(real,Q118625))),i(s(fun(fun(cart(real,Q118614),cart(real,Q118625)),fun(fun(cart(real,Q118614),cart(real,Q118625)),fun(cart(real,Q118614),cart(real,Q118625)))),U_0),s(fun(cart(real,Q118614),cart(real,Q118625)),F0))),s(fun(cart(real,Q118614),cart(real,Q118625)),G0))))))),s(real,e0)))) ) ) )).++fof(aONORMu_ID,axiom,(+ ! [N,U_0] :+ ( ! [X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),U_0),s(cart(real,N),X))) = s(cart(real,N),X)+ => s(real,i(s(fun(fun(cart(real,N),cart(real,N)),real),onorm),s(fun(cart(real,N),cart(real,N)),U_0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )).++fof(aONORMu_I,axiom,(+ ! [N] : s(real,i(s(fun(fun(cart(real,N),cart(real,N)),real),onorm),s(fun(cart(real,N),cart(real,N)),i1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )).++fof(alift,axiom,(+ ! [U_0] :+ ( ! [X,I0] : s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),U_0),s(real,X))),s(num,I0))) = s(real,X)+ => ! [X] : s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))) = s(cart(real,n10),i(s(fun(fun(num,real),cart(real,n10)),lambda),s(fun(num,real),i(s(fun(real,fun(num,real)),U_0),s(real,X))))) ) )).++fof(adrop,axiom,(+ ! [X] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )).++fof(aLIFTu_COMPONENT,axiom,(+ ! [X] : s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,X) )).++fof(aLIFTu_DROPu_conjunct0,axiom,(+ ! [X] : s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))))) = s(cart(real,n10),X) )).++fof(aLIFTu_DROPu_conjunct1,axiom,(+ ! [X] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))) = s(real,X) )).++fof(aIMAGEu_LIFTu_DROPu_conjunct0,axiom,(+ ! [S0] : s(fun(cart(real,n10),bool),i(s(fun(fun(cart(real,n10),bool),fun(cart(real,n10),bool)),i(s(fun(fun(cart(real,n10),cart(real,n10)),fun(fun(cart(real,n10),bool),fun(cart(real,n10),bool))),image),s(fun(cart(real,n10),cart(real,n10)),i(s(fun(fun(cart(real,n10),real),fun(cart(real,n10),cart(real,n10))),i(s(fun(fun(real,cart(real,n10)),fun(fun(cart(real,n10),real),fun(cart(real,n10),cart(real,n10)))),o),s(fun(real,cart(real,n10)),lift))),s(fun(cart(real,n10),real),drop))))),s(fun(cart(real,n10),bool),S0))) = s(fun(cart(real,n10),bool),S0) )).++fof(aIMAGEu_LIFTu_DROPu_conjunct1,axiom,(+ ! [S0] : s(fun(real,bool),i(s(fun(fun(real,bool),fun(real,bool)),i(s(fun(fun(real,real),fun(fun(real,bool),fun(real,bool))),image),s(fun(real,real),i(s(fun(fun(real,cart(real,n10)),fun(real,real)),i(s(fun(fun(cart(real,n10),real),fun(fun(real,cart(real,n10)),fun(real,real))),o),s(fun(cart(real,n10),real),drop))),s(fun(real,cart(real,n10)),lift))))),s(fun(real,bool),S0))) = s(fun(real,bool),S0) )).++fof(aINu_IMAGEu_LIFTu_DROPu_conjunct0,axiom,(+ ! [X,S0] : s(bool,i(s(fun(fun(cart(real,n10),bool),bool),i(s(fun(cart(real,n10),fun(fun(cart(real,n10),bool),bool)),in),s(cart(real,n10),X))),s(fun(cart(real,n10),bool),i(s(fun(fun(real,bool),fun(cart(real,n10),bool)),i(s(fun(fun(real,cart(real,n10)),fun(fun(real,bool),fun(cart(real,n10),bool))),image),s(fun(real,cart(real,n10)),lift))),s(fun(real,bool),S0))))) = s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(real,fun(fun(real,bool),bool)),in),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))))),s(fun(real,bool),S0))) )).++fof(aINu_IMAGEu_LIFTu_DROPu_conjunct1,axiom,(+ ! [X,S0] : s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(real,fun(fun(real,bool),bool)),in),s(real,X))),s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,n10),bool),bool),i(s(fun(cart(real,n10),fun(fun(cart(real,n10),bool),bool)),in),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))),s(fun(cart(real,n10),bool),S0))) )).++fof(aFORALLu_LIFT,axiom,+ ( ! [X] : p(s(bool,i(s(fun(cart(real,n10),bool),p0),s(cart(real,n10),X))))+ <=> ! [X] : p(s(bool,i(s(fun(cart(real,n10),bool),p0),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X)))))) )).++fof(aEXISTSu_LIFT,axiom,+ ( ? [X] : p(s(bool,i(s(fun(cart(real,n10),bool),p0),s(cart(real,n10),X))))+ <=> ? [X] : p(s(bool,i(s(fun(cart(real,n10),bool),p0),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X)))))) )).++fof(aFORALLu_DROP,axiom,+ ( ! [X] : p(s(bool,i(s(fun(real,bool),p0),s(real,X))))+ <=> ! [X] : p(s(bool,i(s(fun(real,bool),p0),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X)))))) )).++fof(aEXISTSu_DROP,axiom,+ ( ? [X] : p(s(bool,i(s(fun(real,bool),p0),s(real,X))))+ <=> ? [X] : p(s(bool,i(s(fun(real,bool),p0),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X)))))) )).++fof(aFORALLu_LIFTu_FUN,axiom,(+ ! [A,P0] :+ ( ! [F0] : p(s(bool,i(s(fun(fun(A,cart(real,n10)),bool),P0),s(fun(A,cart(real,n10)),F0))))+ <=> ! [F0] : p(s(bool,i(s(fun(fun(A,cart(real,n10)),bool),P0),s(fun(A,cart(real,n10)),i(s(fun(fun(A,real),fun(A,cart(real,n10))),i(s(fun(fun(real,cart(real,n10)),fun(fun(A,real),fun(A,cart(real,n10)))),o),s(fun(real,cart(real,n10)),lift))),s(fun(A,real),F0)))))) ) )).++fof(aFORALLu_DROPu_FUN,axiom,(+ ! [A,P0] :+ ( ! [F0] : p(s(bool,i(s(fun(fun(A,real),bool),P0),s(fun(A,real),F0))))+ <=> ! [F0] : p(s(bool,i(s(fun(fun(A,real),bool),P0),s(fun(A,real),i(s(fun(fun(A,cart(real,n10)),fun(A,real)),i(s(fun(fun(cart(real,n10),real),fun(fun(A,cart(real,n10)),fun(A,real))),o),s(fun(cart(real,n10),real),drop))),s(fun(A,cart(real,n10)),F0)))))) ) )).++fof(aEXISTSu_LIFTu_FUN,axiom,(+ ! [A,P0] :+ ( ? [F0] : p(s(bool,i(s(fun(fun(A,cart(real,n10)),bool),P0),s(fun(A,cart(real,n10)),F0))))+ <=> ? [F0] : p(s(bool,i(s(fun(fun(A,cart(real,n10)),bool),P0),s(fun(A,cart(real,n10)),i(s(fun(fun(A,real),fun(A,cart(real,n10))),i(s(fun(fun(real,cart(real,n10)),fun(fun(A,real),fun(A,cart(real,n10)))),o),s(fun(real,cart(real,n10)),lift))),s(fun(A,real),F0)))))) ) )).++fof(aEXISTSu_DROPu_FUN,axiom,(+ ! [A,P0] :+ ( ? [F0] : p(s(bool,i(s(fun(fun(A,real),bool),P0),s(fun(A,real),F0))))+ <=> ? [F0] : p(s(bool,i(s(fun(fun(A,real),bool),P0),s(fun(A,real),i(s(fun(fun(A,cart(real,n10)),fun(A,real)),i(s(fun(fun(cart(real,n10),real),fun(fun(A,cart(real,n10)),fun(A,real))),o),s(fun(cart(real,n10),real),drop))),s(fun(A,cart(real,n10)),F0)))))) ) )).++fof(aLIFTu_EQ,axiom,(+ ! [X,Y] :+ ( s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))) = s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,Y)))+ <=> s(real,X) = s(real,Y) ) )).++fof(aDROPu_EQ,axiom,(+ ! [X,Y] :+ ( s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))) = s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),Y)))+ <=> s(cart(real,n10),X) = s(cart(real,n10),Y) ) )).++fof(aLIFTu_INu_IMAGEu_LIFT,axiom,(+ ! [X,S0] : s(bool,i(s(fun(fun(cart(real,n10),bool),bool),i(s(fun(cart(real,n10),fun(fun(cart(real,n10),bool),bool)),in),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))),s(fun(cart(real,n10),bool),i(s(fun(fun(real,bool),fun(cart(real,n10),bool)),i(s(fun(fun(real,cart(real,n10)),fun(fun(real,bool),fun(cart(real,n10),bool))),image),s(fun(real,cart(real,n10)),lift))),s(fun(real,bool),S0))))) = s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(real,fun(fun(real,bool),bool)),in),s(real,X))),s(fun(real,bool),S0))) )).++fof(aFORALLu_LIFTu_IMAGE,axiom,(+ ! [P0] :+ ( ! [S0] : p(s(bool,i(s(fun(fun(cart(real,n10),bool),bool),P0),s(fun(cart(real,n10),bool),S0))))+ <=> ! [S0] : p(s(bool,i(s(fun(fun(cart(real,n10),bool),bool),P0),s(fun(cart(real,n10),bool),i(s(fun(fun(real,bool),fun(cart(real,n10),bool)),i(s(fun(fun(real,cart(real,n10)),fun(fun(real,bool),fun(cart(real,n10),bool))),image),s(fun(real,cart(real,n10)),lift))),s(fun(real,bool),S0)))))) ) )).++fof(aEXISTSu_LIFTu_IMAGE,axiom,(+ ! [P0] :+ ( ? [S0] : p(s(bool,i(s(fun(fun(cart(real,n10),bool),bool),P0),s(fun(cart(real,n10),bool),S0))))+ <=> ? [S0] : p(s(bool,i(s(fun(fun(cart(real,n10),bool),bool),P0),s(fun(cart(real,n10),bool),i(s(fun(fun(real,bool),fun(cart(real,n10),bool)),i(s(fun(fun(real,cart(real,n10)),fun(fun(real,bool),fun(cart(real,n10),bool))),image),s(fun(real,cart(real,n10)),lift))),s(fun(real,bool),S0)))))) ) )).++fof(aSUBSETu_LIFTu_IMAGE,axiom,(+ ! [S0,T0] : s(bool,i(s(fun(fun(cart(real,n10),bool),bool),i(s(fun(fun(cart(real,n10),bool),fun(fun(cart(real,n10),bool),bool)),subset),s(fun(cart(real,n10),bool),i(s(fun(fun(real,bool),fun(cart(real,n10),bool)),i(s(fun(fun(real,cart(real,n10)),fun(fun(real,bool),fun(cart(real,n10),bool))),image),s(fun(real,cart(real,n10)),lift))),s(fun(real,bool),S0))))),s(fun(cart(real,n10),bool),i(s(fun(fun(real,bool),fun(cart(real,n10),bool)),i(s(fun(fun(real,cart(real,n10)),fun(fun(real,bool),fun(cart(real,n10),bool))),image),s(fun(real,cart(real,n10)),lift))),s(fun(real,bool),T0))))) = s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(fun(real,bool),fun(fun(real,bool),bool)),subset),s(fun(real,bool),S0))),s(fun(real,bool),T0))) )).++fof(aFORALLu_DROPu_IMAGE,axiom,(+ ! [P0] :+ ( ! [S0] : p(s(bool,i(s(fun(fun(real,bool),bool),P0),s(fun(real,bool),S0))))+ <=> ! [S0] : p(s(bool,i(s(fun(fun(real,bool),bool),P0),s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),S0)))))) ) )).++fof(aEXISTSu_DROPu_IMAGE,axiom,(+ ! [P0] :+ ( ? [S0] : p(s(bool,i(s(fun(fun(real,bool),bool),P0),s(fun(real,bool),S0))))+ <=> ? [S0] : p(s(bool,i(s(fun(fun(real,bool),bool),P0),s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),S0)))))) ) )).++fof(aSUBSETu_DROPu_IMAGE,axiom,(+ ! [S0,T0] : s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(fun(real,bool),fun(fun(real,bool),bool)),subset),s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),S0))))),s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),T0))))) = s(bool,i(s(fun(fun(cart(real,n10),bool),bool),i(s(fun(fun(cart(real,n10),bool),fun(fun(cart(real,n10),bool),bool)),subset),s(fun(cart(real,n10),bool),S0))),s(fun(cart(real,n10),bool),T0))) )).++fof(aDROPu_INu_IMAGEu_DROP,axiom,(+ ! [X,S0] : s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(real,fun(fun(real,bool),bool)),in),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))))),s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,n10),bool),bool),i(s(fun(cart(real,n10),fun(fun(cart(real,n10),bool),bool)),in),s(cart(real,n10),X))),s(fun(cart(real,n10),bool),S0))) )).++fof(aLIFTu_NUM,axiom,(+ ! [N0] : s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(num,real),realu_ofu_num),s(num,N0))))) = s(cart(real,n10),i(s(fun(num,cart(real,n10)),vec),s(num,N0))) )).++fof(aLIFTu_ADD,axiom,(+ ! [X,Y] : s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X))),s(real,Y))))) = s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(cart(real,n10),fun(cart(real,n10),cart(real,n10))),vectoru_add),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,Y))))) )).++fof(aLIFTu_SUB,axiom,(+ ! [X,Y] : s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X))),s(real,Y))))) = s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(cart(real,n10),fun(cart(real,n10),cart(real,n10))),vectoru_sub),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,Y))))) )).++fof(aLIFTu_CMUL,axiom,(+ ! [X,C0] : s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,C0))),s(real,X))))) = s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(real,fun(cart(real,n10),cart(real,n10))),r_),s(real,C0))),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))) )).++fof(aLIFTu_NEG,axiom,(+ ! [X] : s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(real,real),realu_neg),s(real,X))))) = s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),vectoru_neg),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))) )).++fof(aLIFTu_EQu_CMUL,axiom,(+ ! [X] : s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))) = s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(real,fun(cart(real,n10),cart(real,n10))),r_),s(real,X))),s(cart(real,n10),i(s(fun(num,cart(real,n10)),vec),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) )).++fof(aLIFTu_SUM,axiom,(+ ! [Q119381,K0,X] :+ ( p(s(bool,i(s(fun(fun(Q119381,bool),bool),finite),s(fun(Q119381,bool),K0))))+ => s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(fun(Q119381,real),real),i(s(fun(fun(Q119381,bool),fun(fun(Q119381,real),real)),sum),s(fun(Q119381,bool),K0))),s(fun(Q119381,real),X))))) = s(cart(real,n10),i(s(fun(fun(Q119381,cart(real,n10)),cart(real,n10)),i(s(fun(fun(Q119381,bool),fun(fun(Q119381,cart(real,n10)),cart(real,n10))),vsum),s(fun(Q119381,bool),K0))),s(fun(Q119381,cart(real,n10)),i(s(fun(fun(Q119381,real),fun(Q119381,cart(real,n10))),i(s(fun(fun(real,cart(real,n10)),fun(fun(Q119381,real),fun(Q119381,cart(real,n10)))),o),s(fun(real,cart(real,n10)),lift))),s(fun(Q119381,real),X))))) ) )).++fof(aDROPu_LAMBDA,axiom,(+ ! [U_0] :+ ( ! [X,I0] : s(real,i(s(fun(num,real),i(s(fun(fun(num,real),fun(num,real)),U_0),s(fun(num,real),X))),s(num,I0))) = s(real,i(s(fun(num,real),X),s(num,I0)))+ => ! [X] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(fun(num,real),cart(real,n10)),lambda),s(fun(num,real),i(s(fun(fun(num,real),fun(num,real)),U_0),s(fun(num,real),X))))))) = s(real,i(s(fun(num,real),X),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )).++fof(aDROPu_VEC,axiom,(+ ! [N0] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(num,cart(real,n10)),vec),s(num,N0))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,N0))) )).++fof(aDROPu_ADD,axiom,(+ ! [X,Y] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(cart(real,n10),fun(cart(real,n10),cart(real,n10))),vectoru_add),s(cart(real,n10),X))),s(cart(real,n10),Y))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))))),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),Y))))) )).++fof(aDROPu_SUB,axiom,(+ ! [X,Y] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(cart(real,n10),fun(cart(real,n10),cart(real,n10))),vectoru_sub),s(cart(real,n10),X))),s(cart(real,n10),Y))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))))),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),Y))))) )).++fof(aDROPu_CMUL,axiom,(+ ! [X,C0] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(real,fun(cart(real,n10),cart(real,n10))),r_),s(real,C0))),s(cart(real,n10),X))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,C0))),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))))) )).++fof(aDROPu_NEG,axiom,(+ ! [X] : s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),vectoru_neg),s(cart(real,n10),X))))) = s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))))) )).++fof(aDROPu_VSUM,axiom,(+ ! [Q119533,K0,X] :+ ( p(s(bool,i(s(fun(fun(Q119533,bool),bool),finite),s(fun(Q119533,bool),K0))))+ => s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(fun(Q119533,cart(real,n10)),cart(real,n10)),i(s(fun(fun(Q119533,bool),fun(fun(Q119533,cart(real,n10)),cart(real,n10))),vsum),s(fun(Q119533,bool),K0))),s(fun(Q119533,cart(real,n10)),X))))) = s(real,i(s(fun(fun(Q119533,real),real),i(s(fun(fun(Q119533,bool),fun(fun(Q119533,real),real)),sum),s(fun(Q119533,bool),K0))),s(fun(Q119533,real),i(s(fun(fun(Q119533,cart(real,n10)),fun(Q119533,real)),i(s(fun(fun(cart(real,n10),real),fun(fun(Q119533,cart(real,n10)),fun(Q119533,real))),o),s(fun(cart(real,n10),real),drop))),s(fun(Q119533,cart(real,n10)),X))))) ) )).++fof(aABSu_DROP,axiom,(+ ! [X] : s(real,i(s(fun(cart(real,n10),real),vectoru_norm),s(cart(real,n10),X))) = s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))))) )).++fof(aNORMu_1u_POS,axiom,(+ ! [X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))))))+ => s(real,i(s(fun(cart(real,n10),real),vectoru_norm),s(cart(real,n10),X))) = s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))) ) )).++fof(aNORMu_LIFT,axiom,(+ ! [X] : s(real,i(s(fun(cart(real,n10),real),vectoru_norm),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))) = s(real,i(s(fun(real,real),realu_abs),s(real,X))) )).++fof(aDISTu_LIFT,axiom,(+ ! [X,Y] : s(real,i(s(fun(prod(cart(real,n10),cart(real,n10)),real),distance),s(prod(cart(real,n10),cart(real,n10)),i(s(fun(cart(real,n10),prod(cart(real,n10),cart(real,n10))),i(s(fun(cart(real,n10),fun(cart(real,n10),prod(cart(real,n10),cart(real,n10)))),c_),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X))))),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,Y))))))) = s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X))),s(real,Y))))) )).++fof(aLINEARu_VMULu_DROP,axiom,(+ ! [Q119643,Q119649,U_0] :+ ( ! [F0,V,X] : s(cart(real,Q119649),i(s(fun(cart(real,Q119643),cart(real,Q119649)),i(s(fun(cart(real,Q119649),fun(cart(real,Q119643),cart(real,Q119649))),i(s(fun(fun(cart(real,Q119643),cart(real,n10)),fun(cart(real,Q119649),fun(cart(real,Q119643),cart(real,Q119649)))),U_0),s(fun(cart(real,Q119643),cart(real,n10)),F0))),s(cart(real,Q119649),V))),s(cart(real,Q119643),X))) = s(cart(real,Q119649),i(s(fun(cart(real,Q119649),cart(real,Q119649)),i(s(fun(real,fun(cart(real,Q119649),cart(real,Q119649))),r_),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(cart(real,Q119643),cart(real,n10)),F0),s(cart(real,Q119643),X))))))),s(cart(real,Q119649),V)))+ => ! [F0,V] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q119643),cart(real,n10)),bool),linear),s(fun(cart(real,Q119643),cart(real,n10)),F0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q119643),cart(real,Q119649)),bool),linear),s(fun(cart(real,Q119643),cart(real,Q119649)),i(s(fun(cart(real,Q119649),fun(cart(real,Q119643),cart(real,Q119649))),i(s(fun(fun(cart(real,Q119643),cart(real,n10)),fun(cart(real,Q119649),fun(cart(real,Q119643),cart(real,Q119649)))),U_0),s(fun(cart(real,Q119643),cart(real,n10)),F0))),s(cart(real,Q119649),V)))))) ) ) )).++fof(aLINEARu_FROMu_REALS,axiom,(+ ! [N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,n10),cart(real,N)),bool),linear),s(fun(cart(real,n10),cart(real,N)),F0))))+ => ! [X] : s(cart(real,N),i(s(fun(cart(real,n10),cart(real,N)),F0),s(cart(real,n10),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))))),s(cart(real,N),i(s(fun(cart(cart(real,n10),N),cart(real,N)),i(s(fun(num,fun(cart(cart(real,n10),N),cart(real,N))),column),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(cart(cart(real,n10),N),i(s(fun(fun(cart(real,n10),cart(real,N)),cart(cart(real,n10),N)),matrix),s(fun(cart(real,n10),cart(real,N)),F0))))))) ) )).++fof(aLINEARu_TOu_REALS,axiom,(+ ! [N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,n10)),bool),linear),s(fun(cart(real,N),cart(real,n10)),F0))))+ => ! [X] : s(cart(real,n10),i(s(fun(cart(real,N),cart(real,n10)),F0),s(cart(real,N),X))) = s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(cart(cart(real,N),n10),cart(real,N)),i(s(fun(num,fun(cart(cart(real,N),n10),cart(real,N))),row),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(cart(cart(real,N),n10),i(s(fun(fun(cart(real,N),cart(real,n10)),cart(cart(real,N),n10)),matrix),s(fun(cart(real,N),cart(real,n10)),F0))))))),s(cart(real,N),X))))) ) )).++fof(aDROPu_EQu_0,axiom,(+ ! [X] :+ ( s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(cart(real,n10),X) = s(cart(real,n10),i(s(fun(num,cart(real,n10)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aVSUMu_REAL,axiom,(+ ! [Q119749,F0,S0] :+ ( p(s(bool,i(s(fun(fun(Q119749,bool),bool),finite),s(fun(Q119749,bool),S0))))+ => s(cart(real,n10),i(s(fun(fun(Q119749,cart(real,n10)),cart(real,n10)),i(s(fun(fun(Q119749,bool),fun(fun(Q119749,cart(real,n10)),cart(real,n10))),vsum),s(fun(Q119749,bool),S0))),s(fun(Q119749,cart(real,n10)),F0))) = s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(fun(Q119749,real),real),i(s(fun(fun(Q119749,bool),fun(fun(Q119749,real),real)),sum),s(fun(Q119749,bool),S0))),s(fun(Q119749,real),i(s(fun(fun(Q119749,cart(real,n10)),fun(Q119749,real)),i(s(fun(fun(cart(real,n10),real),fun(fun(Q119749,cart(real,n10)),fun(Q119749,real))),o),s(fun(cart(real,n10),real),drop))),s(fun(Q119749,cart(real,n10)),F0))))))) ) )).++fof(aDROPu_WLOGu_LE,axiom,+ ( ( ! [X,Y] : s(bool,i(s(fun(cart(real,n10),bool),i(s(fun(cart(real,n10),fun(cart(real,n10),bool)),p0),s(cart(real,n10),X))),s(cart(real,n10),Y))) = s(bool,i(s(fun(cart(real,n10),bool),i(s(fun(cart(real,n10),fun(cart(real,n10),bool)),p0),s(cart(real,n10),Y))),s(cart(real,n10),X)))+ & ! [X,Y] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X))))),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),Y))))))+ => p(s(bool,i(s(fun(cart(real,n10),bool),i(s(fun(cart(real,n10),fun(cart(real,n10),bool)),p0),s(cart(real,n10),X))),s(cart(real,n10),Y)))) ) )+ => ! [X,Y] : p(s(bool,i(s(fun(cart(real,n10),bool),i(s(fun(cart(real,n10),fun(cart(real,n10),bool)),p0),s(cart(real,n10),X))),s(cart(real,n10),Y)))) )).++fof(aIMAGEu_LIFTu_UNIV,axiom,(+ s(fun(cart(real,n10),bool),i(s(fun(fun(real,bool),fun(cart(real,n10),bool)),i(s(fun(fun(real,cart(real,n10)),fun(fun(real,bool),fun(cart(real,n10),bool))),image),s(fun(real,cart(real,n10)),lift))),s(fun(real,bool),univ))) = s(fun(cart(real,n10),bool),univ) )).++fof(aIMAGEu_DROPu_UNIV,axiom,(+ s(fun(real,bool),i(s(fun(fun(cart(real,n10),bool),fun(real,bool)),i(s(fun(fun(cart(real,n10),real),fun(fun(cart(real,n10),bool),fun(real,bool))),image),s(fun(cart(real,n10),real),drop))),s(fun(cart(real,n10),bool),univ))) = s(fun(real,bool),univ) )).++fof(aSUMu_VSUM,axiom,(+ ! [Q119844,F0,S0] :+ ( p(s(bool,i(s(fun(fun(Q119844,bool),bool),finite),s(fun(Q119844,bool),S0))))+ => s(real,i(s(fun(fun(Q119844,real),real),i(s(fun(fun(Q119844,bool),fun(fun(Q119844,real),real)),sum),s(fun(Q119844,bool),S0))),s(fun(Q119844,real),F0))) = s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(fun(Q119844,cart(real,n10)),cart(real,n10)),i(s(fun(fun(Q119844,bool),fun(fun(Q119844,cart(real,n10)),cart(real,n10))),vsum),s(fun(Q119844,bool),S0))),s(fun(Q119844,cart(real,n10)),i(s(fun(fun(Q119844,real),fun(Q119844,cart(real,n10))),i(s(fun(fun(real,cart(real,n10)),fun(fun(Q119844,real),fun(Q119844,cart(real,n10)))),o),s(fun(real,cart(real,n10)),lift))),s(fun(Q119844,real),F0))))))) ) )).++fof(aLINEARu_LIFTu_DOT,axiom,(+ ! [Q119852,U_0] :+ ( ! [A5,X] : s(cart(real,n10),i(s(fun(cart(real,Q119852),cart(real,n10)),i(s(fun(cart(real,Q119852),fun(cart(real,Q119852),cart(real,n10))),U_0),s(cart(real,Q119852),A5))),s(cart(real,Q119852),X))) = s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(cart(real,Q119852),real),i(s(fun(cart(real,Q119852),fun(cart(real,Q119852),real)),dot),s(cart(real,Q119852),A5))),s(cart(real,Q119852),X)))))+ => ! [A5] : p(s(bool,i(s(fun(fun(cart(real,Q119852),cart(real,n10)),bool),linear),s(fun(cart(real,Q119852),cart(real,n10)),i(s(fun(cart(real,Q119852),fun(cart(real,Q119852),cart(real,n10))),U_0),s(cart(real,Q119852),A5)))))) ) )).++fof(aLINEARu_LIFTu_COMPONENT,axiom,(+ ! [N,U_0] :+ ( ! [K0,X] : s(cart(real,n10),i(s(fun(cart(real,N),cart(real,n10)),i(s(fun(num,fun(cart(real,N),cart(real,n10))),U_0),s(num,K0))),s(cart(real,N),X))) = s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,K0)))))+ => ! [K0] : p(s(bool,i(s(fun(fun(cart(real,N),cart(real,n10)),bool),linear),s(fun(cart(real,N),cart(real,n10)),i(s(fun(num,fun(cart(real,N),cart(real,n10))),U_0),s(num,K0)))))) ) )).++fof(aLINEARu_FSTCART,axiom,(+ ! [Q119933,Q119935] : p(s(bool,i(s(fun(fun(cart(real,finite_sum(Q119935,Q119933)),cart(real,Q119935)),bool),linear),s(fun(cart(real,finite_sum(Q119935,Q119933)),cart(real,Q119935)),fstcart)))) )).++fof(aLINEARu_SNDCART,axiom,(+ ! [Q119985,Q119987] : p(s(bool,i(s(fun(fun(cart(real,finite_sum(Q119985,Q119987)),cart(real,Q119987)),bool),linear),s(fun(cart(real,finite_sum(Q119985,Q119987)),cart(real,Q119987)),sndcart)))) )).++fof(aFSTCARTu_VEC,axiom,(+ ! [Q120015,Q120021,N0] : s(cart(real,Q120021),i(s(fun(cart(real,finite_sum(Q120021,Q120015)),cart(real,Q120021)),fstcart),s(cart(real,finite_sum(Q120021,Q120015)),i(s(fun(num,cart(real,finite_sum(Q120021,Q120015))),vec),s(num,N0))))) = s(cart(real,Q120021),i(s(fun(num,cart(real,Q120021)),vec),s(num,N0))) )).++fof(aFSTCARTu_ADD,axiom,(+ ! [M,N,X,Y] : s(cart(real,M),i(s(fun(cart(real,finite_sum(M,N)),cart(real,M)),fstcart),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N))),i(s(fun(cart(real,finite_sum(M,N)),fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N)))),vectoru_add),s(cart(real,finite_sum(M,N)),X))),s(cart(real,finite_sum(M,N)),Y))))) = s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(cart(real,M),fun(cart(real,M),cart(real,M))),vectoru_add),s(cart(real,M),i(s(fun(cart(real,finite_sum(M,N)),cart(real,M)),fstcart),s(cart(real,finite_sum(M,N)),X))))),s(cart(real,M),i(s(fun(cart(real,finite_sum(M,N)),cart(real,M)),fstcart),s(cart(real,finite_sum(M,N)),Y))))) )).++fof(aFSTCARTu_CMUL,axiom,(+ ! [M,N,X,C0] : s(cart(real,M),i(s(fun(cart(real,finite_sum(M,N)),cart(real,M)),fstcart),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N))),i(s(fun(real,fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N)))),r_),s(real,C0))),s(cart(real,finite_sum(M,N)),X))))) = s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(real,fun(cart(real,M),cart(real,M))),r_),s(real,C0))),s(cart(real,M),i(s(fun(cart(real,finite_sum(M,N)),cart(real,M)),fstcart),s(cart(real,finite_sum(M,N)),X))))) )).++fof(aFSTCARTu_NEG,axiom,(+ ! [M,N,X] : s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),vectoru_neg),s(cart(real,M),i(s(fun(cart(real,finite_sum(M,N)),cart(real,M)),fstcart),s(cart(real,finite_sum(M,N)),X))))) = s(cart(real,M),i(s(fun(cart(real,finite_sum(M,N)),cart(real,M)),fstcart),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N))),vectoru_neg),s(cart(real,finite_sum(M,N)),X))))) )).++fof(aFSTCARTu_SUB,axiom,(+ ! [M,N,X,Y] : s(cart(real,M),i(s(fun(cart(real,finite_sum(M,N)),cart(real,M)),fstcart),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N))),i(s(fun(cart(real,finite_sum(M,N)),fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N)))),vectoru_sub),s(cart(real,finite_sum(M,N)),X))),s(cart(real,finite_sum(M,N)),Y))))) = s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(cart(real,M),fun(cart(real,M),cart(real,M))),vectoru_sub),s(cart(real,M),i(s(fun(cart(real,finite_sum(M,N)),cart(real,M)),fstcart),s(cart(real,finite_sum(M,N)),X))))),s(cart(real,M),i(s(fun(cart(real,finite_sum(M,N)),cart(real,M)),fstcart),s(cart(real,finite_sum(M,N)),Y))))) )).++fof(aFSTCARTu_VSUM,axiom,(+ ! [Q120217,Q120216,Q120214,U_0] :+ ( ! [X,I0] : s(cart(real,Q120216),i(s(fun(Q120217,cart(real,Q120216)),i(s(fun(fun(Q120217,cart(real,finite_sum(Q120216,Q120214))),fun(Q120217,cart(real,Q120216))),U_0),s(fun(Q120217,cart(real,finite_sum(Q120216,Q120214))),X))),s(Q120217,I0))) = s(cart(real,Q120216),i(s(fun(cart(real,finite_sum(Q120216,Q120214)),cart(real,Q120216)),fstcart),s(cart(real,finite_sum(Q120216,Q120214)),i(s(fun(Q120217,cart(real,finite_sum(Q120216,Q120214))),X),s(Q120217,I0)))))+ => ! [K0,X] :+ ( p(s(bool,i(s(fun(fun(Q120217,bool),bool),finite),s(fun(Q120217,bool),K0))))+ => s(cart(real,Q120216),i(s(fun(cart(real,finite_sum(Q120216,Q120214)),cart(real,Q120216)),fstcart),s(cart(real,finite_sum(Q120216,Q120214)),i(s(fun(fun(Q120217,cart(real,finite_sum(Q120216,Q120214))),cart(real,finite_sum(Q120216,Q120214))),i(s(fun(fun(Q120217,bool),fun(fun(Q120217,cart(real,finite_sum(Q120216,Q120214))),cart(real,finite_sum(Q120216,Q120214)))),vsum),s(fun(Q120217,bool),K0))),s(fun(Q120217,cart(real,finite_sum(Q120216,Q120214))),X))))) = s(cart(real,Q120216),i(s(fun(fun(Q120217,cart(real,Q120216)),cart(real,Q120216)),i(s(fun(fun(Q120217,bool),fun(fun(Q120217,cart(real,Q120216)),cart(real,Q120216))),vsum),s(fun(Q120217,bool),K0))),s(fun(Q120217,cart(real,Q120216)),i(s(fun(fun(Q120217,cart(real,finite_sum(Q120216,Q120214))),fun(Q120217,cart(real,Q120216))),U_0),s(fun(Q120217,cart(real,finite_sum(Q120216,Q120214))),X))))) ) ) )).++fof(aSNDCARTu_VEC,axiom,(+ ! [Q120272,Q120278,N0] : s(cart(real,Q120278),i(s(fun(cart(real,finite_sum(Q120272,Q120278)),cart(real,Q120278)),sndcart),s(cart(real,finite_sum(Q120272,Q120278)),i(s(fun(num,cart(real,finite_sum(Q120272,Q120278))),vec),s(num,N0))))) = s(cart(real,Q120278),i(s(fun(num,cart(real,Q120278)),vec),s(num,N0))) )).++fof(aSNDCARTu_ADD,axiom,(+ ! [M,N,X,Y] : s(cart(real,N),i(s(fun(cart(real,finite_sum(M,N)),cart(real,N)),sndcart),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N))),i(s(fun(cart(real,finite_sum(M,N)),fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N)))),vectoru_add),s(cart(real,finite_sum(M,N)),X))),s(cart(real,finite_sum(M,N)),Y))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,finite_sum(M,N)),cart(real,N)),sndcart),s(cart(real,finite_sum(M,N)),X))))),s(cart(real,N),i(s(fun(cart(real,finite_sum(M,N)),cart(real,N)),sndcart),s(cart(real,finite_sum(M,N)),Y))))) )).++fof(aSNDCARTu_CMUL,axiom,(+ ! [M,N,X,C0] : s(cart(real,N),i(s(fun(cart(real,finite_sum(M,N)),cart(real,N)),sndcart),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N))),i(s(fun(real,fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N)))),r_),s(real,C0))),s(cart(real,finite_sum(M,N)),X))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),i(s(fun(cart(real,finite_sum(M,N)),cart(real,N)),sndcart),s(cart(real,finite_sum(M,N)),X))))) )).++fof(aSNDCARTu_NEG,axiom,(+ ! [M,N,X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),vectoru_neg),s(cart(real,N),i(s(fun(cart(real,finite_sum(M,N)),cart(real,N)),sndcart),s(cart(real,finite_sum(M,N)),X))))) = s(cart(real,N),i(s(fun(cart(real,finite_sum(M,N)),cart(real,N)),sndcart),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N))),vectoru_neg),s(cart(real,finite_sum(M,N)),X))))) )).++fof(aSNDCARTu_SUB,axiom,(+ ! [M,N,X,Y] : s(cart(real,N),i(s(fun(cart(real,finite_sum(M,N)),cart(real,N)),sndcart),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N))),i(s(fun(cart(real,finite_sum(M,N)),fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N)))),vectoru_sub),s(cart(real,finite_sum(M,N)),X))),s(cart(real,finite_sum(M,N)),Y))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),i(s(fun(cart(real,finite_sum(M,N)),cart(real,N)),sndcart),s(cart(real,finite_sum(M,N)),X))))),s(cart(real,N),i(s(fun(cart(real,finite_sum(M,N)),cart(real,N)),sndcart),s(cart(real,finite_sum(M,N)),Y))))) )).++fof(aSNDCARTu_VSUM,axiom,(+ ! [Q120474,Q120471,Q120473,U_0] :+ ( ! [X,I0] : s(cart(real,Q120473),i(s(fun(Q120474,cart(real,Q120473)),i(s(fun(fun(Q120474,cart(real,finite_sum(Q120471,Q120473))),fun(Q120474,cart(real,Q120473))),U_0),s(fun(Q120474,cart(real,finite_sum(Q120471,Q120473))),X))),s(Q120474,I0))) = s(cart(real,Q120473),i(s(fun(cart(real,finite_sum(Q120471,Q120473)),cart(real,Q120473)),sndcart),s(cart(real,finite_sum(Q120471,Q120473)),i(s(fun(Q120474,cart(real,finite_sum(Q120471,Q120473))),X),s(Q120474,I0)))))+ => ! [K0,X] :+ ( p(s(bool,i(s(fun(fun(Q120474,bool),bool),finite),s(fun(Q120474,bool),K0))))+ => s(cart(real,Q120473),i(s(fun(cart(real,finite_sum(Q120471,Q120473)),cart(real,Q120473)),sndcart),s(cart(real,finite_sum(Q120471,Q120473)),i(s(fun(fun(Q120474,cart(real,finite_sum(Q120471,Q120473))),cart(real,finite_sum(Q120471,Q120473))),i(s(fun(fun(Q120474,bool),fun(fun(Q120474,cart(real,finite_sum(Q120471,Q120473))),cart(real,finite_sum(Q120471,Q120473)))),vsum),s(fun(Q120474,bool),K0))),s(fun(Q120474,cart(real,finite_sum(Q120471,Q120473))),X))))) = s(cart(real,Q120473),i(s(fun(fun(Q120474,cart(real,Q120473)),cart(real,Q120473)),i(s(fun(fun(Q120474,bool),fun(fun(Q120474,cart(real,Q120473)),cart(real,Q120473))),vsum),s(fun(Q120474,bool),K0))),s(fun(Q120474,cart(real,Q120473)),i(s(fun(fun(Q120474,cart(real,finite_sum(Q120471,Q120473))),fun(Q120474,cart(real,Q120473))),U_0),s(fun(Q120474,cart(real,finite_sum(Q120471,Q120473))),X))))) ) ) )).++fof(aPASTECARTu_VEC,axiom,(+ ! [Q120489,Q120491,N0] : s(cart(real,finite_sum(Q120489,Q120491)),i(s(fun(cart(real,Q120491),cart(real,finite_sum(Q120489,Q120491))),i(s(fun(cart(real,Q120489),fun(cart(real,Q120491),cart(real,finite_sum(Q120489,Q120491)))),pastecart),s(cart(real,Q120489),i(s(fun(num,cart(real,Q120489)),vec),s(num,N0))))),s(cart(real,Q120491),i(s(fun(num,cart(real,Q120491)),vec),s(num,N0))))) = s(cart(real,finite_sum(Q120489,Q120491)),i(s(fun(num,cart(real,finite_sum(Q120489,Q120491))),vec),s(num,N0))) )).++fof(aPASTECARTu_ADD,axiom,(+ ! [M,N,X1,Y1,X2,Y2] : s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N))),i(s(fun(cart(real,finite_sum(M,N)),fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N)))),vectoru_add),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,N),cart(real,finite_sum(M,N))),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,finite_sum(M,N)))),pastecart),s(cart(real,M),X1))),s(cart(real,N),Y1))))),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,N),cart(real,finite_sum(M,N))),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,finite_sum(M,N)))),pastecart),s(cart(real,M),X2))),s(cart(real,N),Y2))))) = s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,N),cart(real,finite_sum(M,N))),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,finite_sum(M,N)))),pastecart),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(cart(real,M),fun(cart(real,M),cart(real,M))),vectoru_add),s(cart(real,M),X1))),s(cart(real,M),X2))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),Y1))),s(cart(real,N),Y2))))) )).++fof(aPASTECARTu_CMUL,axiom,(+ ! [Q120589,Q120590,X1,Y1,C0] : s(cart(real,finite_sum(Q120589,Q120590)),i(s(fun(cart(real,Q120590),cart(real,finite_sum(Q120589,Q120590))),i(s(fun(cart(real,Q120589),fun(cart(real,Q120590),cart(real,finite_sum(Q120589,Q120590)))),pastecart),s(cart(real,Q120589),i(s(fun(cart(real,Q120589),cart(real,Q120589)),i(s(fun(real,fun(cart(real,Q120589),cart(real,Q120589))),r_),s(real,C0))),s(cart(real,Q120589),X1))))),s(cart(real,Q120590),i(s(fun(cart(real,Q120590),cart(real,Q120590)),i(s(fun(real,fun(cart(real,Q120590),cart(real,Q120590))),r_),s(real,C0))),s(cart(real,Q120590),Y1))))) = s(cart(real,finite_sum(Q120589,Q120590)),i(s(fun(cart(real,finite_sum(Q120589,Q120590)),cart(real,finite_sum(Q120589,Q120590))),i(s(fun(real,fun(cart(real,finite_sum(Q120589,Q120590)),cart(real,finite_sum(Q120589,Q120590)))),r_),s(real,C0))),s(cart(real,finite_sum(Q120589,Q120590)),i(s(fun(cart(real,Q120590),cart(real,finite_sum(Q120589,Q120590))),i(s(fun(cart(real,Q120589),fun(cart(real,Q120590),cart(real,finite_sum(Q120589,Q120590)))),pastecart),s(cart(real,Q120589),X1))),s(cart(real,Q120590),Y1))))) )).++fof(aPASTECARTu_NEG,axiom,(+ ! [M,N,X,Y] : s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,N),cart(real,finite_sum(M,N))),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,finite_sum(M,N)))),pastecart),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),vectoru_neg),s(cart(real,M),X))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),vectoru_neg),s(cart(real,N),Y))))) = s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N))),vectoru_neg),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,N),cart(real,finite_sum(M,N))),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,finite_sum(M,N)))),pastecart),s(cart(real,M),X))),s(cart(real,N),Y))))) )).++fof(aPASTECARTu_SUB,axiom,(+ ! [M,N,X1,Y1,X2,Y2] : s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N))),i(s(fun(cart(real,finite_sum(M,N)),fun(cart(real,finite_sum(M,N)),cart(real,finite_sum(M,N)))),vectoru_sub),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,N),cart(real,finite_sum(M,N))),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,finite_sum(M,N)))),pastecart),s(cart(real,M),X1))),s(cart(real,N),Y1))))),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,N),cart(real,finite_sum(M,N))),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,finite_sum(M,N)))),pastecart),s(cart(real,M),X2))),s(cart(real,N),Y2))))) = s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,N),cart(real,finite_sum(M,N))),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,finite_sum(M,N)))),pastecart),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(cart(real,M),fun(cart(real,M),cart(real,M))),vectoru_sub),s(cart(real,M),X1))),s(cart(real,M),X2))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),Y1))),s(cart(real,N),Y2))))) )).++fof(aPASTECARTu_VSUM,axiom,(+ ! [Q120760,Q120763,Q120761,U_0] :+ ( ! [X,Y,I0] : s(cart(real,finite_sum(Q120760,Q120761)),i(s(fun(Q120763,cart(real,finite_sum(Q120760,Q120761))),i(s(fun(fun(Q120763,cart(real,Q120761)),fun(Q120763,cart(real,finite_sum(Q120760,Q120761)))),i(s(fun(fun(Q120763,cart(real,Q120760)),fun(fun(Q120763,cart(real,Q120761)),fun(Q120763,cart(real,finite_sum(Q120760,Q120761))))),U_0),s(fun(Q120763,cart(real,Q120760)),X))),s(fun(Q120763,cart(real,Q120761)),Y))),s(Q120763,I0))) = s(cart(real,finite_sum(Q120760,Q120761)),i(s(fun(cart(real,Q120761),cart(real,finite_sum(Q120760,Q120761))),i(s(fun(cart(real,Q120760),fun(cart(real,Q120761),cart(real,finite_sum(Q120760,Q120761)))),pastecart),s(cart(real,Q120760),i(s(fun(Q120763,cart(real,Q120760)),X),s(Q120763,I0))))),s(cart(real,Q120761),i(s(fun(Q120763,cart(real,Q120761)),Y),s(Q120763,I0)))))+ => ! [K0,X,Y] :+ ( p(s(bool,i(s(fun(fun(Q120763,bool),bool),finite),s(fun(Q120763,bool),K0))))+ => s(cart(real,finite_sum(Q120760,Q120761)),i(s(fun(cart(real,Q120761),cart(real,finite_sum(Q120760,Q120761))),i(s(fun(cart(real,Q120760),fun(cart(real,Q120761),cart(real,finite_sum(Q120760,Q120761)))),pastecart),s(cart(real,Q120760),i(s(fun(fun(Q120763,cart(real,Q120760)),cart(real,Q120760)),i(s(fun(fun(Q120763,bool),fun(fun(Q120763,cart(real,Q120760)),cart(real,Q120760))),vsum),s(fun(Q120763,bool),K0))),s(fun(Q120763,cart(real,Q120760)),X))))),s(cart(real,Q120761),i(s(fun(fun(Q120763,cart(real,Q120761)),cart(real,Q120761)),i(s(fun(fun(Q120763,bool),fun(fun(Q120763,cart(real,Q120761)),cart(real,Q120761))),vsum),s(fun(Q120763,bool),K0))),s(fun(Q120763,cart(real,Q120761)),Y))))) = s(cart(real,finite_sum(Q120760,Q120761)),i(s(fun(fun(Q120763,cart(real,finite_sum(Q120760,Q120761))),cart(real,finite_sum(Q120760,Q120761))),i(s(fun(fun(Q120763,bool),fun(fun(Q120763,cart(real,finite_sum(Q120760,Q120761))),cart(real,finite_sum(Q120760,Q120761)))),vsum),s(fun(Q120763,bool),K0))),s(fun(Q120763,cart(real,finite_sum(Q120760,Q120761))),i(s(fun(fun(Q120763,cart(real,Q120761)),fun(Q120763,cart(real,finite_sum(Q120760,Q120761)))),i(s(fun(fun(Q120763,cart(real,Q120760)),fun(fun(Q120763,cart(real,Q120761)),fun(Q120763,cart(real,finite_sum(Q120760,Q120761))))),U_0),s(fun(Q120763,cart(real,Q120760)),X))),s(fun(Q120763,cart(real,Q120761)),Y))))) ) ) )).++fof(aPASTECARTu_EQu_VEC,axiom,(+ ! [Q120795,Q120800,X,Y,N0] :+ ( s(cart(real,finite_sum(Q120795,Q120800)),i(s(fun(cart(real,Q120800),cart(real,finite_sum(Q120795,Q120800))),i(s(fun(cart(real,Q120795),fun(cart(real,Q120800),cart(real,finite_sum(Q120795,Q120800)))),pastecart),s(cart(real,Q120795),X))),s(cart(real,Q120800),Y))) = s(cart(real,finite_sum(Q120795,Q120800)),i(s(fun(num,cart(real,finite_sum(Q120795,Q120800))),vec),s(num,N0)))+ <=> ( s(cart(real,Q120795),X) = s(cart(real,Q120795),i(s(fun(num,cart(real,Q120795)),vec),s(num,N0)))+ & s(cart(real,Q120800),Y) = s(cart(real,Q120800),i(s(fun(num,cart(real,Q120800)),vec),s(num,N0))) ) ) )).++fof(aNORMu_FSTCART,axiom,(+ ! [Q120851,Q120849,X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q120851),real),vectoru_norm),s(cart(real,Q120851),i(s(fun(cart(real,finite_sum(Q120851,Q120849)),cart(real,Q120851)),fstcart),s(cart(real,finite_sum(Q120851,Q120849)),X))))))),s(real,i(s(fun(cart(real,finite_sum(Q120851,Q120849)),real),vectoru_norm),s(cart(real,finite_sum(Q120851,Q120849)),X)))))) )).++fof(aDISTu_FSTCART,axiom,(+ ! [Q120883,Q120881,X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(prod(cart(real,Q120883),cart(real,Q120883)),real),distance),s(prod(cart(real,Q120883),cart(real,Q120883)),i(s(fun(cart(real,Q120883),prod(cart(real,Q120883),cart(real,Q120883))),i(s(fun(cart(real,Q120883),fun(cart(real,Q120883),prod(cart(real,Q120883),cart(real,Q120883)))),c_),s(cart(real,Q120883),i(s(fun(cart(real,finite_sum(Q120883,Q120881)),cart(real,Q120883)),fstcart),s(cart(real,finite_sum(Q120883,Q120881)),X))))),s(cart(real,Q120883),i(s(fun(cart(real,finite_sum(Q120883,Q120881)),cart(real,Q120883)),fstcart),s(cart(real,finite_sum(Q120883,Q120881)),Y))))))))),s(real,i(s(fun(prod(cart(real,finite_sum(Q120883,Q120881)),cart(real,finite_sum(Q120883,Q120881))),real),distance),s(prod(cart(real,finite_sum(Q120883,Q120881)),cart(real,finite_sum(Q120883,Q120881))),i(s(fun(cart(real,finite_sum(Q120883,Q120881)),prod(cart(real,finite_sum(Q120883,Q120881)),cart(real,finite_sum(Q120883,Q120881)))),i(s(fun(cart(real,finite_sum(Q120883,Q120881)),fun(cart(real,finite_sum(Q120883,Q120881)),prod(cart(real,finite_sum(Q120883,Q120881)),cart(real,finite_sum(Q120883,Q120881))))),c_),s(cart(real,finite_sum(Q120883,Q120881)),X))),s(cart(real,finite_sum(Q120883,Q120881)),Y)))))))) )).++fof(aNORMu_SNDCART,axiom,(+ ! [Q120961,Q120963,X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q120963),real),vectoru_norm),s(cart(real,Q120963),i(s(fun(cart(real,finite_sum(Q120961,Q120963)),cart(real,Q120963)),sndcart),s(cart(real,finite_sum(Q120961,Q120963)),X))))))),s(real,i(s(fun(cart(real,finite_sum(Q120961,Q120963)),real),vectoru_norm),s(cart(real,finite_sum(Q120961,Q120963)),X)))))) )).++fof(aDISTu_SNDCART,axiom,(+ ! [Q120993,Q120995,X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(prod(cart(real,Q120995),cart(real,Q120995)),real),distance),s(prod(cart(real,Q120995),cart(real,Q120995)),i(s(fun(cart(real,Q120995),prod(cart(real,Q120995),cart(real,Q120995))),i(s(fun(cart(real,Q120995),fun(cart(real,Q120995),prod(cart(real,Q120995),cart(real,Q120995)))),c_),s(cart(real,Q120995),i(s(fun(cart(real,finite_sum(Q120993,Q120995)),cart(real,Q120995)),sndcart),s(cart(real,finite_sum(Q120993,Q120995)),X))))),s(cart(real,Q120995),i(s(fun(cart(real,finite_sum(Q120993,Q120995)),cart(real,Q120995)),sndcart),s(cart(real,finite_sum(Q120993,Q120995)),Y))))))))),s(real,i(s(fun(prod(cart(real,finite_sum(Q120993,Q120995)),cart(real,finite_sum(Q120993,Q120995))),real),distance),s(prod(cart(real,finite_sum(Q120993,Q120995)),cart(real,finite_sum(Q120993,Q120995))),i(s(fun(cart(real,finite_sum(Q120993,Q120995)),prod(cart(real,finite_sum(Q120993,Q120995)),cart(real,finite_sum(Q120993,Q120995)))),i(s(fun(cart(real,finite_sum(Q120993,Q120995)),fun(cart(real,finite_sum(Q120993,Q120995)),prod(cart(real,finite_sum(Q120993,Q120995)),cart(real,finite_sum(Q120993,Q120995))))),c_),s(cart(real,finite_sum(Q120993,Q120995)),X))),s(cart(real,finite_sum(Q120993,Q120995)),Y)))))))) )).++fof(aDOTu_PASTECART,axiom,(+ ! [Q121075,Q121076,X1,X2,Y1,Y2] : s(real,i(s(fun(cart(real,finite_sum(Q121075,Q121076)),real),i(s(fun(cart(real,finite_sum(Q121075,Q121076)),fun(cart(real,finite_sum(Q121075,Q121076)),real)),dot),s(cart(real,finite_sum(Q121075,Q121076)),i(s(fun(cart(real,Q121076),cart(real,finite_sum(Q121075,Q121076))),i(s(fun(cart(real,Q121075),fun(cart(real,Q121076),cart(real,finite_sum(Q121075,Q121076)))),pastecart),s(cart(real,Q121075),X1))),s(cart(real,Q121076),X2))))),s(cart(real,finite_sum(Q121075,Q121076)),i(s(fun(cart(real,Q121076),cart(real,finite_sum(Q121075,Q121076))),i(s(fun(cart(real,Q121075),fun(cart(real,Q121076),cart(real,finite_sum(Q121075,Q121076)))),pastecart),s(cart(real,Q121075),Y1))),s(cart(real,Q121076),Y2))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,Q121075),real),i(s(fun(cart(real,Q121075),fun(cart(real,Q121075),real)),dot),s(cart(real,Q121075),X1))),s(cart(real,Q121075),Y1))))),s(real,i(s(fun(cart(real,Q121076),real),i(s(fun(cart(real,Q121076),fun(cart(real,Q121076),real)),dot),s(cart(real,Q121076),X2))),s(cart(real,Q121076),Y2))))) )).++fof(aNORMu_PASTECART,axiom,(+ ! [Q121103,Q121104,X,Y] : s(real,i(s(fun(cart(real,finite_sum(Q121103,Q121104)),real),vectoru_norm),s(cart(real,finite_sum(Q121103,Q121104)),i(s(fun(cart(real,Q121104),cart(real,finite_sum(Q121103,Q121104))),i(s(fun(cart(real,Q121103),fun(cart(real,Q121104),cart(real,finite_sum(Q121103,Q121104)))),pastecart),s(cart(real,Q121103),X))),s(cart(real,Q121104),Y))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q121103),real),vectoru_norm),s(cart(real,Q121103),X))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,Q121104),real),vectoru_norm),s(cart(real,Q121104),Y))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))) )).++fof(aNORMu_PASTECARTu_LE,axiom,(+ ! [Q121142,Q121143,X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,finite_sum(Q121142,Q121143)),real),vectoru_norm),s(cart(real,finite_sum(Q121142,Q121143)),i(s(fun(cart(real,Q121143),cart(real,finite_sum(Q121142,Q121143))),i(s(fun(cart(real,Q121142),fun(cart(real,Q121143),cart(real,finite_sum(Q121142,Q121143)))),pastecart),s(cart(real,Q121142),X))),s(cart(real,Q121143),Y))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,Q121142),real),vectoru_norm),s(cart(real,Q121142),X))))),s(real,i(s(fun(cart(real,Q121143),real),vectoru_norm),s(cart(real,Q121143),Y)))))))) )).++fof(aNORMu_LEu_PASTECART,axiom,(+ ! [M,N,X,Y] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))))),s(real,i(s(fun(cart(real,finite_sum(M,N)),real),vectoru_norm),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,N),cart(real,finite_sum(M,N))),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,finite_sum(M,N)))),pastecart),s(cart(real,M),X))),s(cart(real,N),Y))))))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y))))),s(real,i(s(fun(cart(real,finite_sum(M,N)),real),vectoru_norm),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,N),cart(real,finite_sum(M,N))),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,finite_sum(M,N)))),pastecart),s(cart(real,M),X))),s(cart(real,N),Y)))))))) ) )).++fof(aNORMu_PASTECARTu_0u_conjunct0,axiom,(+ ! [Q121218,Q121215,X] : s(real,i(s(fun(cart(real,finite_sum(Q121215,Q121218)),real),vectoru_norm),s(cart(real,finite_sum(Q121215,Q121218)),i(s(fun(cart(real,Q121218),cart(real,finite_sum(Q121215,Q121218))),i(s(fun(cart(real,Q121215),fun(cart(real,Q121218),cart(real,finite_sum(Q121215,Q121218)))),pastecart),s(cart(real,Q121215),X))),s(cart(real,Q121218),i(s(fun(num,cart(real,Q121218)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) = s(real,i(s(fun(cart(real,Q121215),real),vectoru_norm),s(cart(real,Q121215),X))) )).++fof(aNORMu_PASTECARTu_0u_conjunct1,axiom,(+ ! [Q121236,Q121234,Y] : s(real,i(s(fun(cart(real,finite_sum(Q121236,Q121234)),real),vectoru_norm),s(cart(real,finite_sum(Q121236,Q121234)),i(s(fun(cart(real,Q121234),cart(real,finite_sum(Q121236,Q121234))),i(s(fun(cart(real,Q121236),fun(cart(real,Q121234),cart(real,finite_sum(Q121236,Q121234)))),pastecart),s(cart(real,Q121236),i(s(fun(num,cart(real,Q121236)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,Q121234),Y))))) = s(real,i(s(fun(cart(real,Q121234),real),vectoru_norm),s(cart(real,Q121234),Y))) )).++fof(aDISTu_PASTECARTu_CANCELu_conjunct0,axiom,(+ ! [Q121280,Q121279,X,XI_,Y] : s(real,i(s(fun(prod(cart(real,finite_sum(Q121279,Q121280)),cart(real,finite_sum(Q121279,Q121280))),real),distance),s(prod(cart(real,finite_sum(Q121279,Q121280)),cart(real,finite_sum(Q121279,Q121280))),i(s(fun(cart(real,finite_sum(Q121279,Q121280)),prod(cart(real,finite_sum(Q121279,Q121280)),cart(real,finite_sum(Q121279,Q121280)))),i(s(fun(cart(real,finite_sum(Q121279,Q121280)),fun(cart(real,finite_sum(Q121279,Q121280)),prod(cart(real,finite_sum(Q121279,Q121280)),cart(real,finite_sum(Q121279,Q121280))))),c_),s(cart(real,finite_sum(Q121279,Q121280)),i(s(fun(cart(real,Q121280),cart(real,finite_sum(Q121279,Q121280))),i(s(fun(cart(real,Q121279),fun(cart(real,Q121280),cart(real,finite_sum(Q121279,Q121280)))),pastecart),s(cart(real,Q121279),X))),s(cart(real,Q121280),Y))))),s(cart(real,finite_sum(Q121279,Q121280)),i(s(fun(cart(real,Q121280),cart(real,finite_sum(Q121279,Q121280))),i(s(fun(cart(real,Q121279),fun(cart(real,Q121280),cart(real,finite_sum(Q121279,Q121280)))),pastecart),s(cart(real,Q121279),XI_))),s(cart(real,Q121280),Y))))))) = s(real,i(s(fun(prod(cart(real,Q121279),cart(real,Q121279)),real),distance),s(prod(cart(real,Q121279),cart(real,Q121279)),i(s(fun(cart(real,Q121279),prod(cart(real,Q121279),cart(real,Q121279))),i(s(fun(cart(real,Q121279),fun(cart(real,Q121279),prod(cart(real,Q121279),cart(real,Q121279)))),c_),s(cart(real,Q121279),X))),s(cart(real,Q121279),XI_))))) )).++fof(aDISTu_PASTECARTu_CANCELu_conjunct1,axiom,(+ ! [Q121316,Q121317,X,Y,YI_] : s(real,i(s(fun(prod(cart(real,finite_sum(Q121316,Q121317)),cart(real,finite_sum(Q121316,Q121317))),real),distance),s(prod(cart(real,finite_sum(Q121316,Q121317)),cart(real,finite_sum(Q121316,Q121317))),i(s(fun(cart(real,finite_sum(Q121316,Q121317)),prod(cart(real,finite_sum(Q121316,Q121317)),cart(real,finite_sum(Q121316,Q121317)))),i(s(fun(cart(real,finite_sum(Q121316,Q121317)),fun(cart(real,finite_sum(Q121316,Q121317)),prod(cart(real,finite_sum(Q121316,Q121317)),cart(real,finite_sum(Q121316,Q121317))))),c_),s(cart(real,finite_sum(Q121316,Q121317)),i(s(fun(cart(real,Q121317),cart(real,finite_sum(Q121316,Q121317))),i(s(fun(cart(real,Q121316),fun(cart(real,Q121317),cart(real,finite_sum(Q121316,Q121317)))),pastecart),s(cart(real,Q121316),X))),s(cart(real,Q121317),Y))))),s(cart(real,finite_sum(Q121316,Q121317)),i(s(fun(cart(real,Q121317),cart(real,finite_sum(Q121316,Q121317))),i(s(fun(cart(real,Q121316),fun(cart(real,Q121317),cart(real,finite_sum(Q121316,Q121317)))),pastecart),s(cart(real,Q121316),X))),s(cart(real,Q121317),YI_))))))) = s(real,i(s(fun(prod(cart(real,Q121317),cart(real,Q121317)),real),distance),s(prod(cart(real,Q121317),cart(real,Q121317)),i(s(fun(cart(real,Q121317),prod(cart(real,Q121317),cart(real,Q121317))),i(s(fun(cart(real,Q121317),fun(cart(real,Q121317),prod(cart(real,Q121317),cart(real,Q121317)))),c_),s(cart(real,Q121317),Y))),s(cart(real,Q121317),YI_))))) )).++fof(asubspace,axiom,(+ ! [Q121390,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),subspace),s(fun(cart(real,Q121390),bool),S0))))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),i(s(fun(num,cart(real,Q121390)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,Q121390),bool),S0))))+ & ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),X))),s(fun(cart(real,Q121390),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),Y))),s(fun(cart(real,Q121390),bool),S0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),i(s(fun(cart(real,Q121390),cart(real,Q121390)),i(s(fun(cart(real,Q121390),fun(cart(real,Q121390),cart(real,Q121390))),vectoru_add),s(cart(real,Q121390),X))),s(cart(real,Q121390),Y))))),s(fun(cart(real,Q121390),bool),S0)))) )+ & ! [C0,X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),X))),s(fun(cart(real,Q121390),bool),S0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q121390),bool),bool),i(s(fun(cart(real,Q121390),fun(fun(cart(real,Q121390),bool),bool)),in),s(cart(real,Q121390),i(s(fun(cart(real,Q121390),cart(real,Q121390)),i(s(fun(real,fun(cart(real,Q121390),cart(real,Q121390))),r_),s(real,C0))),s(cart(real,Q121390),X))))),s(fun(cart(real,Q121390),bool),S0)))) ) ) ) )).++fof(aspan,axiom,(+ ! [Q121402,S0] : s(fun(cart(real,Q121402),bool),i(s(fun(fun(cart(real,Q121402),bool),fun(cart(real,Q121402),bool)),span),s(fun(cart(real,Q121402),bool),S0))) = s(fun(cart(real,Q121402),bool),i(s(fun(fun(cart(real,Q121402),bool),fun(cart(real,Q121402),bool)),i(s(fun(fun(fun(cart(real,Q121402),bool),bool),fun(fun(cart(real,Q121402),bool),fun(cart(real,Q121402),bool))),hull),s(fun(fun(cart(real,Q121402),bool),bool),subspace))),s(fun(cart(real,Q121402),bool),S0))) )).++fof(adependent,axiom,(+ ! [Q121420,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q121420),bool),bool),dependent),s(fun(cart(real,Q121420),bool),S0))))+ <=> ? [A5] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q121420),bool),bool),i(s(fun(cart(real,Q121420),fun(fun(cart(real,Q121420),bool),bool)),in),s(cart(real,Q121420),A5))),s(fun(cart(real,Q121420),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q121420),bool),bool),i(s(fun(cart(real,Q121420),fun(fun(cart(real,Q121420),bool),bool)),in),s(cart(real,Q121420),A5))),s(fun(cart(real,Q121420),bool),i(s(fun(fun(cart(real,Q121420),bool),fun(cart(real,Q121420),bool)),span),s(fun(cart(real,Q121420),bool),i(s(fun(cart(real,Q121420),fun(cart(real,Q121420),bool)),i(s(fun(fun(cart(real,Q121420),bool),fun(cart(real,Q121420),fun(cart(real,Q121420),bool))),delete),s(fun(cart(real,Q121420),bool),S0))),s(cart(real,Q121420),A5)))))))) ) ) )).++fof(aindependent,axiom,(+ ! [Q121430,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q121430),bool),bool),independent),s(fun(cart(real,Q121430),bool),S0))))+ <=> ~ p(s(bool,i(s(fun(fun(cart(real,Q121430),bool),bool),dependent),s(fun(cart(real,Q121430),bool),S0)))) ) )).++fof(aSUBSPACEu_UNIV,axiom,(+ ! [N] : p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),univ)))) )).++fof(aSUBSPACEu_IMPu_NONEMPTY,axiom,(+ ! [Q121443,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q121443),bool),bool),subspace),s(fun(cart(real,Q121443),bool),S0))))+ => s(fun(cart(real,Q121443),bool),S0) != s(fun(cart(real,Q121443),bool),empty) ) )).++fof(aSUBSPACEu_0,axiom,(+ ! [Q121453] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q121453),bool),bool),subspace),s(fun(cart(real,Q121453),bool),s0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q121453),bool),bool),i(s(fun(cart(real,Q121453),fun(fun(cart(real,Q121453),bool),bool)),in),s(cart(real,Q121453),i(s(fun(num,cart(real,Q121453)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,Q121453),bool),s0)))) ) )).++fof(aSUBSPACEu_ADD,axiom,(+ ! [Q121494,X,Y,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q121494),bool),bool),subspace),s(fun(cart(real,Q121494),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q121494),bool),bool),i(s(fun(cart(real,Q121494),fun(fun(cart(real,Q121494),bool),bool)),in),s(cart(real,Q121494),X))),s(fun(cart(real,Q121494),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q121494),bool),bool),i(s(fun(cart(real,Q121494),fun(fun(cart(real,Q121494),bool),bool)),in),s(cart(real,Q121494),Y))),s(fun(cart(real,Q121494),bool),S0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q121494),bool),bool),i(s(fun(cart(real,Q121494),fun(fun(cart(real,Q121494),bool),bool)),in),s(cart(real,Q121494),i(s(fun(cart(real,Q121494),cart(real,Q121494)),i(s(fun(cart(real,Q121494),fun(cart(real,Q121494),cart(real,Q121494))),vectoru_add),s(cart(real,Q121494),X))),s(cart(real,Q121494),Y))))),s(fun(cart(real,Q121494),bool),S0)))) ) )).++fof(aSUBSPACEu_MUL,axiom,(+ ! [Q121516,X,C0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q121516),bool),bool),subspace),s(fun(cart(real,Q121516),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q121516),bool),bool),i(s(fun(cart(real,Q121516),fun(fun(cart(real,Q121516),bool),bool)),in),s(cart(real,Q121516),X))),s(fun(cart(real,Q121516),bool),S0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q121516),bool),bool),i(s(fun(cart(real,Q121516),fun(fun(cart(real,Q121516),bool),bool)),in),s(cart(real,Q121516),i(s(fun(cart(real,Q121516),cart(real,Q121516)),i(s(fun(real,fun(cart(real,Q121516),cart(real,Q121516))),r_),s(real,C0))),s(cart(real,Q121516),X))))),s(fun(cart(real,Q121516),bool),S0)))) ) )).++fof(aSUBSPACEu_NEG,axiom,(+ ! [Q121570,X,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q121570),bool),bool),subspace),s(fun(cart(real,Q121570),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q121570),bool),bool),i(s(fun(cart(real,Q121570),fun(fun(cart(real,Q121570),bool),bool)),in),s(cart(real,Q121570),X))),s(fun(cart(real,Q121570),bool),S0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q121570),bool),bool),i(s(fun(cart(real,Q121570),fun(fun(cart(real,Q121570),bool),bool)),in),s(cart(real,Q121570),i(s(fun(cart(real,Q121570),cart(real,Q121570)),vectoru_neg),s(cart(real,Q121570),X))))),s(fun(cart(real,Q121570),bool),S0)))) ) )).++fof(aSUBSPACEu_SUB,axiom,(+ ! [Q121609,X,Y,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q121609),bool),bool),subspace),s(fun(cart(real,Q121609),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q121609),bool),bool),i(s(fun(cart(real,Q121609),fun(fun(cart(real,Q121609),bool),bool)),in),s(cart(real,Q121609),X))),s(fun(cart(real,Q121609),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q121609),bool),bool),i(s(fun(cart(real,Q121609),fun(fun(cart(real,Q121609),bool),bool)),in),s(cart(real,Q121609),Y))),s(fun(cart(real,Q121609),bool),S0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q121609),bool),bool),i(s(fun(cart(real,Q121609),fun(fun(cart(real,Q121609),bool),bool)),in),s(cart(real,Q121609),i(s(fun(cart(real,Q121609),cart(real,Q121609)),i(s(fun(cart(real,Q121609),fun(cart(real,Q121609),cart(real,Q121609))),vectoru_sub),s(cart(real,Q121609),X))),s(cart(real,Q121609),Y))))),s(fun(cart(real,Q121609),bool),S0)))) ) )).++fof(aSUBSPACEu_VSUM,axiom,(+ ! [Q121648,Q121655,S0,F0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q121655),bool),bool),subspace),s(fun(cart(real,Q121655),bool),S0))))+ & p(s(bool,i(s(fun(fun(Q121648,bool),bool),finite),s(fun(Q121648,bool),T0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(Q121648,bool),bool),i(s(fun(Q121648,fun(fun(Q121648,bool),bool)),in),s(Q121648,X))),s(fun(Q121648,bool),T0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q121655),bool),bool),i(s(fun(cart(real,Q121655),fun(fun(cart(real,Q121655),bool),bool)),in),s(cart(real,Q121655),i(s(fun(Q121648,cart(real,Q121655)),F0),s(Q121648,X))))),s(fun(cart(real,Q121655),bool),S0)))) ) )+ => p(s(bool,i(s(fun(fun(cart(real,Q121655),bool),bool),i(s(fun(cart(real,Q121655),fun(fun(cart(real,Q121655),bool),bool)),in),s(cart(real,Q121655),i(s(fun(fun(Q121648,cart(real,Q121655)),cart(real,Q121655)),i(s(fun(fun(Q121648,bool),fun(fun(Q121648,cart(real,Q121655)),cart(real,Q121655))),vsum),s(fun(Q121648,bool),T0))),s(fun(Q121648,cart(real,Q121655)),F0))))),s(fun(cart(real,Q121655),bool),S0)))) ) )).++fof(aSUBSPACEu_LINEARu_IMAGE,axiom,(+ ! [Q121671,Q121673,F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q121673),cart(real,Q121671)),bool),linear),s(fun(cart(real,Q121673),cart(real,Q121671)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q121673),bool),bool),subspace),s(fun(cart(real,Q121673),bool),S0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q121671),bool),bool),subspace),s(fun(cart(real,Q121671),bool),i(s(fun(fun(cart(real,Q121673),bool),fun(cart(real,Q121671),bool)),i(s(fun(fun(cart(real,Q121673),cart(real,Q121671)),fun(fun(cart(real,Q121673),bool),fun(cart(real,Q121671),bool))),image),s(fun(cart(real,Q121673),cart(real,Q121671)),F0))),s(fun(cart(real,Q121673),bool),S0)))))) ) )).++fof(aSUBSPACEu_LINEARu_PREIMAGE,axiom,(+ ! [Q121694,Q121697,U_0] :+ ( ! [F0,S0,GENR_PVARR_297] :+ ( p(s(bool,i(s(fun(cart(real,Q121694),bool),i(s(fun(fun(cart(real,Q121697),bool),fun(cart(real,Q121694),bool)),i(s(fun(fun(cart(real,Q121694),cart(real,Q121697)),fun(fun(cart(real,Q121697),bool),fun(cart(real,Q121694),bool))),U_0),s(fun(cart(real,Q121694),cart(real,Q121697)),F0))),s(fun(cart(real,Q121697),bool),S0))),s(cart(real,Q121694),GENR_PVARR_297))))+ <=> ? [X] : p(s(bool,i(s(fun(cart(real,Q121694),bool),i(s(fun(bool,fun(cart(real,Q121694),bool)),i(s(fun(cart(real,Q121694),fun(bool,fun(cart(real,Q121694),bool))),setspec),s(cart(real,Q121694),GENR_PVARR_297))),s(bool,i(s(fun(fun(cart(real,Q121697),bool),bool),i(s(fun(cart(real,Q121697),fun(fun(cart(real,Q121697),bool),bool)),in),s(cart(real,Q121697),i(s(fun(cart(real,Q121694),cart(real,Q121697)),F0),s(cart(real,Q121694),X))))),s(fun(cart(real,Q121697),bool),S0))))),s(cart(real,Q121694),X)))) )+ => ! [F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q121694),cart(real,Q121697)),bool),linear),s(fun(cart(real,Q121694),cart(real,Q121697)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q121697),bool),bool),subspace),s(fun(cart(real,Q121697),bool),S0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q121694),bool),bool),subspace),s(fun(cart(real,Q121694),bool),i(s(fun(fun(cart(real,Q121694),bool),fun(cart(real,Q121694),bool)),gspec),s(fun(cart(real,Q121694),bool),i(s(fun(fun(cart(real,Q121697),bool),fun(cart(real,Q121694),bool)),i(s(fun(fun(cart(real,Q121694),cart(real,Q121697)),fun(fun(cart(real,Q121697),bool),fun(cart(real,Q121694),bool))),U_0),s(fun(cart(real,Q121694),cart(real,Q121697)),F0))),s(fun(cart(real,Q121697),bool),S0)))))))) ) ) )).++fof(aSUBSPACEu_TRIVIAL,axiom,(+ ! [Q121723] : p(s(bool,i(s(fun(fun(cart(real,Q121723),bool),bool),subspace),s(fun(cart(real,Q121723),bool),i(s(fun(fun(cart(real,Q121723),bool),fun(cart(real,Q121723),bool)),i(s(fun(cart(real,Q121723),fun(fun(cart(real,Q121723),bool),fun(cart(real,Q121723),bool))),insert),s(cart(real,Q121723),i(s(fun(num,cart(real,Q121723)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,Q121723),bool),empty)))))) )).++fof(aSUBSPACEu_INTER,axiom,(+ ! [Q121741,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q121741),bool),bool),subspace),s(fun(cart(real,Q121741),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q121741),bool),bool),subspace),s(fun(cart(real,Q121741),bool),T0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q121741),bool),bool),subspace),s(fun(cart(real,Q121741),bool),i(s(fun(fun(cart(real,Q121741),bool),fun(cart(real,Q121741),bool)),i(s(fun(fun(cart(real,Q121741),bool),fun(fun(cart(real,Q121741),bool),fun(cart(real,Q121741),bool))),inter),s(fun(cart(real,Q121741),bool),S0))),s(fun(cart(real,Q121741),bool),T0)))))) ) )).++fof(aSUBSPACEu_INTERS,axiom,(+ ! [Q121764,F0] :+ ( ! [S0] :+ ( p(s(bool,i(s(fun(fun(fun(cart(real,Q121764),bool),bool),bool),i(s(fun(fun(cart(real,Q121764),bool),fun(fun(fun(cart(real,Q121764),bool),bool),bool)),in),s(fun(cart(real,Q121764),bool),S0))),s(fun(fun(cart(real,Q121764),bool),bool),F0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q121764),bool),bool),subspace),s(fun(cart(real,Q121764),bool),S0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q121764),bool),bool),subspace),s(fun(cart(real,Q121764),bool),i(s(fun(fun(fun(cart(real,Q121764),bool),bool),fun(cart(real,Q121764),bool)),inters),s(fun(fun(cart(real,Q121764),bool),bool),F0)))))) ) )).++fof(aLINEARu_INJECTIVEu_0u_SUBSPACE,axiom,(+ ! [N,M,F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),subspace),s(fun(cart(real,M),bool),S0)))) )+ => ( ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),Y))),s(fun(cart(real,M),bool),S0))))+ & s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y))) )+ => s(cart(real,M),X) = s(cart(real,M),Y) )+ <=> ! [X] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),S0))))+ & s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ => s(cart(real,M),X) = s(cart(real,M),i(s(fun(num,cart(real,M)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) )).++fof(aSUBSPACEu_UNIONu_CHAIN,axiom,(+ ! [N,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),T0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0)))))) )+ => ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))+ | p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),T0))),s(fun(cart(real,N),bool),S0)))) ) ) )).++fof(aSPANu_SPAN,axiom,(+ ! [Q121985,S0] : s(fun(cart(real,Q121985),bool),i(s(fun(fun(cart(real,Q121985),bool),fun(cart(real,Q121985),bool)),span),s(fun(cart(real,Q121985),bool),i(s(fun(fun(cart(real,Q121985),bool),fun(cart(real,Q121985),bool)),span),s(fun(cart(real,Q121985),bool),S0))))) = s(fun(cart(real,Q121985),bool),i(s(fun(fun(cart(real,Q121985),bool),fun(cart(real,Q121985),bool)),span),s(fun(cart(real,Q121985),bool),S0))) )).++fof(aSPANu_MONO,axiom,(+ ! [Q122006,S0,T0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q122006),bool),bool),i(s(fun(fun(cart(real,Q122006),bool),fun(fun(cart(real,Q122006),bool),bool)),subset),s(fun(cart(real,Q122006),bool),S0))),s(fun(cart(real,Q122006),bool),T0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q122006),bool),bool),i(s(fun(fun(cart(real,Q122006),bool),fun(fun(cart(real,Q122006),bool),bool)),subset),s(fun(cart(real,Q122006),bool),i(s(fun(fun(cart(real,Q122006),bool),fun(cart(real,Q122006),bool)),span),s(fun(cart(real,Q122006),bool),S0))))),s(fun(cart(real,Q122006),bool),i(s(fun(fun(cart(real,Q122006),bool),fun(cart(real,Q122006),bool)),span),s(fun(cart(real,Q122006),bool),T0)))))) ) )).++fof(aSUBSPACEu_SPAN,axiom,(+ ! [Q122015,S0] : p(s(bool,i(s(fun(fun(cart(real,Q122015),bool),bool),subspace),s(fun(cart(real,Q122015),bool),i(s(fun(fun(cart(real,Q122015),bool),fun(cart(real,Q122015),bool)),span),s(fun(cart(real,Q122015),bool),S0)))))) )).++fof(aSPANu_CLAUSESu_conjunct0,axiom,(+ ! [Q122036,A5,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q122036),bool),bool),i(s(fun(cart(real,Q122036),fun(fun(cart(real,Q122036),bool),bool)),in),s(cart(real,Q122036),A5))),s(fun(cart(real,Q122036),bool),S0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q122036),bool),bool),i(s(fun(cart(real,Q122036),fun(fun(cart(real,Q122036),bool),bool)),in),s(cart(real,Q122036),A5))),s(fun(cart(real,Q122036),bool),i(s(fun(fun(cart(real,Q122036),bool),fun(cart(real,Q122036),bool)),span),s(fun(cart(real,Q122036),bool),S0)))))) ) )).++fof(aSPANu_CLAUSESu_conjunct1,axiom,(+ ! [Q122045] : p(s(bool,i(s(fun(fun(cart(real,Q122045),bool),bool),i(s(fun(cart(real,Q122045),fun(fun(cart(real,Q122045),bool),bool)),in),s(cart(real,Q122045),i(s(fun(num,cart(real,Q122045)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,Q122045),bool),i(s(fun(fun(cart(real,Q122045),bool),fun(cart(real,Q122045),bool)),span),s(fun(cart(real,Q122045),bool),s0)))))) )).++fof(aSPANu_CLAUSESu_conjunct2,axiom,(+ ! [Q122111,X,Y,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q122111),bool),bool),i(s(fun(cart(real,Q122111),fun(fun(cart(real,Q122111),bool),bool)),in),s(cart(real,Q122111),X))),s(fun(cart(real,Q122111),bool),i(s(fun(fun(cart(real,Q122111),bool),fun(cart(real,Q122111),bool)),span),s(fun(cart(real,Q122111),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,Q122111),bool),bool),i(s(fun(cart(real,Q122111),fun(fun(cart(real,Q122111),bool),bool)),in),s(cart(real,Q122111),Y))),s(fun(cart(real,Q122111),bool),i(s(fun(fun(cart(real,Q122111),bool),fun(cart(real,Q122111),bool)),span),s(fun(cart(real,Q122111),bool),S0)))))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q122111),bool),bool),i(s(fun(cart(real,Q122111),fun(fun(cart(real,Q122111),bool),bool)),in),s(cart(real,Q122111),i(s(fun(cart(real,Q122111),cart(real,Q122111)),i(s(fun(cart(real,Q122111),fun(cart(real,Q122111),cart(real,Q122111))),vectoru_add),s(cart(real,Q122111),X))),s(cart(real,Q122111),Y))))),s(fun(cart(real,Q122111),bool),i(s(fun(fun(cart(real,Q122111),bool),fun(cart(real,Q122111),bool)),span),s(fun(cart(real,Q122111),bool),S0)))))) ) )).++fof(aSPANu_CLAUSESu_conjunct3,axiom,(+ ! [Q122108,X,C0,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q122108),bool),bool),i(s(fun(cart(real,Q122108),fun(fun(cart(real,Q122108),bool),bool)),in),s(cart(real,Q122108),X))),s(fun(cart(real,Q122108),bool),i(s(fun(fun(cart(real,Q122108),bool),fun(cart(real,Q122108),bool)),span),s(fun(cart(real,Q122108),bool),S0))))))+ => p(s(bool,i(s(fun(fun(cart(real,Q122108),bool),bool),i(s(fun(cart(real,Q122108),fun(fun(cart(real,Q122108),bool),bool)),in),s(cart(real,Q122108),i(s(fun(cart(real,Q122108),cart(real,Q122108)),i(s(fun(real,fun(cart(real,Q122108),cart(real,Q122108))),r_),s(real,C0))),s(cart(real,Q122108),X))))),s(fun(cart(real,Q122108),bool),i(s(fun(fun(cart(real,Q122108),bool),fun(cart(real,Q122108),bool)),span),s(fun(cart(real,Q122108),bool),S0)))))) ) )).++fof(aSPANu_INDUCT,axiom,(+ ! [Q122152,S0,H0] :+ ( ( ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q122152),bool),bool),i(s(fun(cart(real,Q122152),fun(fun(cart(real,Q122152),bool),bool)),in),s(cart(real,Q122152),X))),s(fun(cart(real,Q122152),bool),S0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q122152),bool),bool),i(s(fun(cart(real,Q122152),fun(fun(cart(real,Q122152),bool),bool)),in),s(cart(real,Q122152),X))),s(fun(cart(real,Q122152),bool),H0)))) )+ & p(s(bool,i(s(fun(fun(cart(real,Q122152),bool),bool),subspace),s(fun(cart(real,Q122152),bool),H0)))) )+ => ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q122152),bool),bool),i(s(fun(cart(real,Q122152),fun(fun(cart(real,Q122152),bool),bool)),in),s(cart(real,Q122152),X))),s(fun(cart(real,Q122152),bool),i(s(fun(fun(cart(real,Q122152),bool),fun(cart(real,Q122152),bool)),span),s(fun(cart(real,Q122152),bool),S0))))))+ => p(s(bool,i(s(fun(cart(real,Q122152),bool),H0),s(cart(real,Q122152),X)))) ) ) )).++fof(aSPANu_EMPTY,axiom,(+ ! [Q122165] : s(fun(cart(real,Q122165),bool),i(s(fun(fun(cart(real,Q122165),bool),fun(cart(real,Q122165),bool)),span),s(fun(cart(real,Q122165),bool),empty))) = s(fun(cart(real,Q122165),bool),i(s(fun(fun(cart(real,Q122165),bool),fun(cart(real,Q122165),bool)),i(s(fun(cart(real,Q122165),fun(fun(cart(real,Q122165),bool),fun(cart(real,Q122165),bool))),insert),s(cart(real,Q122165),i(s(fun(num,cart(real,Q122165)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,Q122165),bool),empty))) )).++fof(aINDEPENDENTu_EMPTY,axiom,(+ ! [Q122169] : p(s(bool,i(s(fun(fun(cart(real,Q122169),bool),bool),independent),s(fun(cart(real,Q122169),bool),empty)))) )).++fof(aINDEPENDENTu_NONZERO,axiom,(+ ! [Q122179,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q122179),bool),bool),independent),s(fun(cart(real,Q122179),bool),S0))))+ => ~ p(s(bool,i(s(fun(fun(cart(real,Q122179),bool),bool),i(s(fun(cart(real,Q122179),fun(fun(cart(real,Q122179),bool),bool)),in),s(cart(real,Q122179),i(s(fun(num,cart(real,Q122179)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,Q122179),bool),S0)))) ) )).++fof(aINDEPENDENTu_MONO,axiom,(+ ! [Q122205,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q122205),bool),bool),independent),s(fun(cart(real,Q122205),bool),T0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q122205),bool),bool),i(s(fun(fun(cart(real,Q122205),bool),fun(fun(cart(real,Q122205),bool),bool)),subset),s(fun(cart(real,Q122205),bool),S0))),s(fun(cart(real,Q122205),bool),T0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q122205),bool),bool),independent),s(fun(cart(real,Q122205),bool),S0)))) ) )).++fof(aDEPENDENTu_MONO,axiom,(+ ! [N,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),dependent),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),dependent),s(fun(cart(real,N),bool),T0)))) ) )).++fof(aSPANu_SUBSPACE,axiom,(+ ! [Q122268,B0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q122268),bool),bool),i(s(fun(fun(cart(real,Q122268),bool),fun(fun(cart(real,Q122268),bool),bool)),subset),s(fun(cart(real,Q122268),bool),B0))),s(fun(cart(real,Q122268),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q122268),bool),bool),i(s(fun(fun(cart(real,Q122268),bool),fun(fun(cart(real,Q122268),bool),bool)),subset),s(fun(cart(real,Q122268),bool),S0))),s(fun(cart(real,Q122268),bool),i(s(fun(fun(cart(real,Q122268),bool),fun(cart(real,Q122268),bool)),span),s(fun(cart(real,Q122268),bool),B0))))))+ & p(s(bool,i(s(fun(fun(cart(real,Q122268),bool),bool),subspace),s(fun(cart(real,Q122268),bool),S0)))) )+ => s(fun(cart(real,Q122268),bool),i(s(fun(fun(cart(real,Q122268),bool),fun(cart(real,Q122268),bool)),span),s(fun(cart(real,Q122268),bool),B0))) = s(fun(cart(real,Q122268),bool),S0) ) )).++fof(aSPANu_INDUCTu_ALT,axiom,(+ ! [N,S0,H0] :+ ( ( p(s(bool,i(s(fun(cart(real,N),bool),H0),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))+ & ! [C0,X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(cart(real,N),bool),H0),s(cart(real,N),Y)))) )+ => p(s(bool,i(s(fun(cart(real,N),bool),H0),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),X))))),s(cart(real,N),Y)))))) ) )+ => ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ => p(s(bool,i(s(fun(cart(real,N),bool),H0),s(cart(real,N),X)))) ) ) )).++fof(aSPANu_SUPERSET,axiom,(+ ! [Q122358,X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q122358),bool),bool),i(s(fun(cart(real,Q122358),fun(fun(cart(real,Q122358),bool),bool)),in),s(cart(real,Q122358),X))),s(fun(cart(real,Q122358),bool),s0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q122358),bool),bool),i(s(fun(cart(real,Q122358),fun(fun(cart(real,Q122358),bool),bool)),in),s(cart(real,Q122358),X))),s(fun(cart(real,Q122358),bool),i(s(fun(fun(cart(real,Q122358),bool),fun(cart(real,Q122358),bool)),span),s(fun(cart(real,Q122358),bool),s0)))))) ) )).++fof(aSPANu_INC,axiom,(+ ! [Q122368,S0] : p(s(bool,i(s(fun(fun(cart(real,Q122368),bool),bool),i(s(fun(fun(cart(real,Q122368),bool),fun(fun(cart(real,Q122368),bool),bool)),subset),s(fun(cart(real,Q122368),bool),S0))),s(fun(cart(real,Q122368),bool),i(s(fun(fun(cart(real,Q122368),bool),fun(cart(real,Q122368),bool)),span),s(fun(cart(real,Q122368),bool),S0)))))) )).++fof(aSPANu_UNIONu_SUBSET,axiom,(+ ! [Q122389,S0,T0] : p(s(bool,i(s(fun(fun(cart(real,Q122389),bool),bool),i(s(fun(fun(cart(real,Q122389),bool),fun(fun(cart(real,Q122389),bool),bool)),subset),s(fun(cart(real,Q122389),bool),i(s(fun(fun(cart(real,Q122389),bool),fun(cart(real,Q122389),bool)),i(s(fun(fun(cart(real,Q122389),bool),fun(fun(cart(real,Q122389),bool),fun(cart(real,Q122389),bool))),union),s(fun(cart(real,Q122389),bool),i(s(fun(fun(cart(real,Q122389),bool),fun(cart(real,Q122389),bool)),span),s(fun(cart(real,Q122389),bool),S0))))),s(fun(cart(real,Q122389),bool),i(s(fun(fun(cart(real,Q122389),bool),fun(cart(real,Q122389),bool)),span),s(fun(cart(real,Q122389),bool),T0))))))),s(fun(cart(real,Q122389),bool),i(s(fun(fun(cart(real,Q122389),bool),fun(cart(real,Q122389),bool)),span),s(fun(cart(real,Q122389),bool),i(s(fun(fun(cart(real,Q122389),bool),fun(cart(real,Q122389),bool)),i(s(fun(fun(cart(real,Q122389),bool),fun(fun(cart(real,Q122389),bool),fun(cart(real,Q122389),bool))),union),s(fun(cart(real,Q122389),bool),S0))),s(fun(cart(real,Q122389),bool),T0)))))))) )).++fof(aSPANu_UNIV,axiom,(+ ! [N] : s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),univ))) = s(fun(cart(real,N),bool),univ) )).++fof(aSPANu_0,axiom,(+ ! [Q122419] : p(s(bool,i(s(fun(fun(cart(real,Q122419),bool),bool),i(s(fun(cart(real,Q122419),fun(fun(cart(real,Q122419),bool),bool)),in),s(cart(real,Q122419),i(s(fun(num,cart(real,Q122419)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,Q122419),bool),i(s(fun(fun(cart(real,Q122419),bool),fun(cart(real,Q122419),bool)),span),s(fun(cart(real,Q122419),bool),s0)))))) )).++fof(aSPANu_ADD,axiom,(+ ! [Q122457,X,Y,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q122457),bool),bool),i(s(fun(cart(real,Q122457),fun(fun(cart(real,Q122457),bool),bool)),in),s(cart(real,Q122457),X))),s(fun(cart(real,Q122457),bool),i(s(fun(fun(cart(real,Q122457),bool),fun(cart(real,Q122457),bool)),span),s(fun(cart(real,Q122457),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,Q122457),bool),bool),i(s(fun(cart(real,Q122457),fun(fun(cart(real,Q122457),bool),bool)),in),s(cart(real,Q122457),Y))),s(fun(cart(real,Q122457),bool),i(s(fun(fun(cart(real,Q122457),bool),fun(cart(real,Q122457),bool)),span),s(fun(cart(real,Q122457),bool),S0)))))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q122457),bool),bool),i(s(fun(cart(real,Q122457),fun(fun(cart(real,Q122457),bool),bool)),in),s(cart(real,Q122457),i(s(fun(cart(real,Q122457),cart(real,Q122457)),i(s(fun(cart(real,Q122457),fun(cart(real,Q122457),cart(real,Q122457))),vectoru_add),s(cart(real,Q122457),X))),s(cart(real,Q122457),Y))))),s(fun(cart(real,Q122457),bool),i(s(fun(fun(cart(real,Q122457),bool),fun(cart(real,Q122457),bool)),span),s(fun(cart(real,Q122457),bool),S0)))))) ) )).++fof(aSPANu_MUL,axiom,(+ ! [Q122488,X,C0,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q122488),bool),bool),i(s(fun(cart(real,Q122488),fun(fun(cart(real,Q122488),bool),bool)),in),s(cart(real,Q122488),X))),s(fun(cart(real,Q122488),bool),i(s(fun(fun(cart(real,Q122488),bool),fun(cart(real,Q122488),bool)),span),s(fun(cart(real,Q122488),bool),S0))))))+ => p(s(bool,i(s(fun(fun(cart(real,Q122488),bool),bool),i(s(fun(cart(real,Q122488),fun(fun(cart(real,Q122488),bool),bool)),in),s(cart(real,Q122488),i(s(fun(cart(real,Q122488),cart(real,Q122488)),i(s(fun(real,fun(cart(real,Q122488),cart(real,Q122488))),r_),s(real,C0))),s(cart(real,Q122488),X))))),s(fun(cart(real,Q122488),bool),i(s(fun(fun(cart(real,Q122488),bool),fun(cart(real,Q122488),bool)),span),s(fun(cart(real,Q122488),bool),S0)))))) ) )).++fof(aSPANu_MULu_EQ,axiom,(+ ! [N,X,C0,S0] :+ ( s(real,C0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),X))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))) ) )).++fof(aSPANu_NEG,axiom,(+ ! [Q122563,X,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q122563),bool),bool),i(s(fun(cart(real,Q122563),fun(fun(cart(real,Q122563),bool),bool)),in),s(cart(real,Q122563),X))),s(fun(cart(real,Q122563),bool),i(s(fun(fun(cart(real,Q122563),bool),fun(cart(real,Q122563),bool)),span),s(fun(cart(real,Q122563),bool),S0))))))+ => p(s(bool,i(s(fun(fun(cart(real,Q122563),bool),bool),i(s(fun(cart(real,Q122563),fun(fun(cart(real,Q122563),bool),bool)),in),s(cart(real,Q122563),i(s(fun(cart(real,Q122563),cart(real,Q122563)),vectoru_neg),s(cart(real,Q122563),X))))),s(fun(cart(real,Q122563),bool),i(s(fun(fun(cart(real,Q122563),bool),fun(cart(real,Q122563),bool)),span),s(fun(cart(real,Q122563),bool),S0)))))) ) )).++fof(aSPANu_NEGu_EQ,axiom,(+ ! [Q122592,X,S0] : s(bool,i(s(fun(fun(cart(real,Q122592),bool),bool),i(s(fun(cart(real,Q122592),fun(fun(cart(real,Q122592),bool),bool)),in),s(cart(real,Q122592),i(s(fun(cart(real,Q122592),cart(real,Q122592)),vectoru_neg),s(cart(real,Q122592),X))))),s(fun(cart(real,Q122592),bool),i(s(fun(fun(cart(real,Q122592),bool),fun(cart(real,Q122592),bool)),span),s(fun(cart(real,Q122592),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,Q122592),bool),bool),i(s(fun(cart(real,Q122592),fun(fun(cart(real,Q122592),bool),bool)),in),s(cart(real,Q122592),X))),s(fun(cart(real,Q122592),bool),i(s(fun(fun(cart(real,Q122592),bool),fun(cart(real,Q122592),bool)),span),s(fun(cart(real,Q122592),bool),S0))))) )).++fof(aSPANu_SUB,axiom,(+ ! [Q122633,X,Y,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q122633),bool),bool),i(s(fun(cart(real,Q122633),fun(fun(cart(real,Q122633),bool),bool)),in),s(cart(real,Q122633),X))),s(fun(cart(real,Q122633),bool),i(s(fun(fun(cart(real,Q122633),bool),fun(cart(real,Q122633),bool)),span),s(fun(cart(real,Q122633),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,Q122633),bool),bool),i(s(fun(cart(real,Q122633),fun(fun(cart(real,Q122633),bool),bool)),in),s(cart(real,Q122633),Y))),s(fun(cart(real,Q122633),bool),i(s(fun(fun(cart(real,Q122633),bool),fun(cart(real,Q122633),bool)),span),s(fun(cart(real,Q122633),bool),S0)))))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q122633),bool),bool),i(s(fun(cart(real,Q122633),fun(fun(cart(real,Q122633),bool),bool)),in),s(cart(real,Q122633),i(s(fun(cart(real,Q122633),cart(real,Q122633)),i(s(fun(cart(real,Q122633),fun(cart(real,Q122633),cart(real,Q122633))),vectoru_sub),s(cart(real,Q122633),X))),s(cart(real,Q122633),Y))))),s(fun(cart(real,Q122633),bool),i(s(fun(fun(cart(real,Q122633),bool),fun(cart(real,Q122633),bool)),span),s(fun(cart(real,Q122633),bool),S0)))))) ) )).++fof(aSPANu_VSUM,axiom,(+ ! [Q122668,Q122679,S0,F0,T0] :+ ( ( p(s(bool,i(s(fun(fun(Q122668,bool),bool),finite),s(fun(Q122668,bool),T0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(Q122668,bool),bool),i(s(fun(Q122668,fun(fun(Q122668,bool),bool)),in),s(Q122668,X))),s(fun(Q122668,bool),T0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q122679),bool),bool),i(s(fun(cart(real,Q122679),fun(fun(cart(real,Q122679),bool),bool)),in),s(cart(real,Q122679),i(s(fun(Q122668,cart(real,Q122679)),F0),s(Q122668,X))))),s(fun(cart(real,Q122679),bool),i(s(fun(fun(cart(real,Q122679),bool),fun(cart(real,Q122679),bool)),span),s(fun(cart(real,Q122679),bool),S0)))))) ) )+ => p(s(bool,i(s(fun(fun(cart(real,Q122679),bool),bool),i(s(fun(cart(real,Q122679),fun(fun(cart(real,Q122679),bool),bool)),in),s(cart(real,Q122679),i(s(fun(fun(Q122668,cart(real,Q122679)),cart(real,Q122679)),i(s(fun(fun(Q122668,bool),fun(fun(Q122668,cart(real,Q122679)),cart(real,Q122679))),vsum),s(fun(Q122668,bool),T0))),s(fun(Q122668,cart(real,Q122679)),F0))))),s(fun(cart(real,Q122679),bool),i(s(fun(fun(cart(real,Q122679),bool),fun(cart(real,Q122679),bool)),span),s(fun(cart(real,Q122679),bool),S0)))))) ) )).++fof(aSPANu_ADDu_EQ,axiom,(+ ! [Q122739,S0,X,Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q122739),bool),bool),i(s(fun(cart(real,Q122739),fun(fun(cart(real,Q122739),bool),bool)),in),s(cart(real,Q122739),X))),s(fun(cart(real,Q122739),bool),i(s(fun(fun(cart(real,Q122739),bool),fun(cart(real,Q122739),bool)),span),s(fun(cart(real,Q122739),bool),S0))))))+ => s(bool,i(s(fun(fun(cart(real,Q122739),bool),bool),i(s(fun(cart(real,Q122739),fun(fun(cart(real,Q122739),bool),bool)),in),s(cart(real,Q122739),i(s(fun(cart(real,Q122739),cart(real,Q122739)),i(s(fun(cart(real,Q122739),fun(cart(real,Q122739),cart(real,Q122739))),vectoru_add),s(cart(real,Q122739),X))),s(cart(real,Q122739),Y))))),s(fun(cart(real,Q122739),bool),i(s(fun(fun(cart(real,Q122739),bool),fun(cart(real,Q122739),bool)),span),s(fun(cart(real,Q122739),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,Q122739),bool),bool),i(s(fun(cart(real,Q122739),fun(fun(cart(real,Q122739),bool),bool)),in),s(cart(real,Q122739),Y))),s(fun(cart(real,Q122739),bool),i(s(fun(fun(cart(real,Q122739),bool),fun(cart(real,Q122739),bool)),span),s(fun(cart(real,Q122739),bool),S0))))) ) )).++fof(aSPANu_EQu_SELF,axiom,(+ ! [Q122754,S0] :+ ( s(fun(cart(real,Q122754),bool),i(s(fun(fun(cart(real,Q122754),bool),fun(cart(real,Q122754),bool)),span),s(fun(cart(real,Q122754),bool),S0))) = s(fun(cart(real,Q122754),bool),S0)+ <=> p(s(bool,i(s(fun(fun(cart(real,Q122754),bool),bool),subspace),s(fun(cart(real,Q122754),bool),S0)))) ) )).++fof(aSPANu_SUBSETu_SUBSPACE,axiom,(+ ! [N,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),T0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))),s(fun(cart(real,N),bool),T0)))) ) )).++fof(aSUBSPACEu_TRANSLATIONu_SELF,axiom,(+ ! [Q122839,U_0] :+ ( ! [A5,X] : s(cart(real,Q122839),i(s(fun(cart(real,Q122839),cart(real,Q122839)),i(s(fun(cart(real,Q122839),fun(cart(real,Q122839),cart(real,Q122839))),U_0),s(cart(real,Q122839),A5))),s(cart(real,Q122839),X))) = s(cart(real,Q122839),i(s(fun(cart(real,Q122839),cart(real,Q122839)),i(s(fun(cart(real,Q122839),fun(cart(real,Q122839),cart(real,Q122839))),vectoru_add),s(cart(real,Q122839),A5))),s(cart(real,Q122839),X)))+ => ! [S0,A5] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q122839),bool),bool),subspace),s(fun(cart(real,Q122839),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q122839),bool),bool),i(s(fun(cart(real,Q122839),fun(fun(cart(real,Q122839),bool),bool)),in),s(cart(real,Q122839),A5))),s(fun(cart(real,Q122839),bool),S0)))) )+ => s(fun(cart(real,Q122839),bool),i(s(fun(fun(cart(real,Q122839),bool),fun(cart(real,Q122839),bool)),i(s(fun(fun(cart(real,Q122839),cart(real,Q122839)),fun(fun(cart(real,Q122839),bool),fun(cart(real,Q122839),bool))),image),s(fun(cart(real,Q122839),cart(real,Q122839)),i(s(fun(cart(real,Q122839),fun(cart(real,Q122839),cart(real,Q122839))),U_0),s(cart(real,Q122839),A5))))),s(fun(cart(real,Q122839),bool),S0))) = s(fun(cart(real,Q122839),bool),S0) ) ) )).++fof(aSUBSPACEu_TRANSLATIONu_SELFu_EQ,axiom,(+ ! [N,U_0] :+ ( ! [A5,X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),U_0),s(cart(real,N),A5))),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),A5))),s(cart(real,N),X)))+ => ! [S0,A5] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),S0))))+ => ( s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),U_0),s(cart(real,N),A5))))),s(fun(cart(real,N),bool),S0))) = s(fun(cart(real,N),bool),S0)+ <=> p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),A5))),s(fun(cart(real,N),bool),S0)))) ) ) ) )).++fof(aSUBSPACEu_SUMS,axiom,(+ ! [Q122994,U_0] :+ ( ! [S0,T0,GENR_PVARR_298] :+ ( p(s(bool,i(s(fun(cart(real,Q122994),bool),i(s(fun(fun(cart(real,Q122994),bool),fun(cart(real,Q122994),bool)),i(s(fun(fun(cart(real,Q122994),bool),fun(fun(cart(real,Q122994),bool),fun(cart(real,Q122994),bool))),U_0),s(fun(cart(real,Q122994),bool),S0))),s(fun(cart(real,Q122994),bool),T0))),s(cart(real,Q122994),GENR_PVARR_298))))+ <=> ? [X,Y,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,Q122994),bool),bool),i(s(fun(cart(real,Q122994),fun(fun(cart(real,Q122994),bool),bool)),in),s(cart(real,Q122994),X))),s(fun(cart(real,Q122994),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q122994),bool),bool),i(s(fun(cart(real,Q122994),fun(fun(cart(real,Q122994),bool),bool)),in),s(cart(real,Q122994),Y))),s(fun(cart(real,Q122994),bool),T0)))) ) )+ & p(s(bool,i(s(fun(cart(real,Q122994),bool),i(s(fun(bool,fun(cart(real,Q122994),bool)),i(s(fun(cart(real,Q122994),fun(bool,fun(cart(real,Q122994),bool))),setspec),s(cart(real,Q122994),GENR_PVARR_298))),s(bool,V))),s(cart(real,Q122994),i(s(fun(cart(real,Q122994),cart(real,Q122994)),i(s(fun(cart(real,Q122994),fun(cart(real,Q122994),cart(real,Q122994))),vectoru_add),s(cart(real,Q122994),X))),s(cart(real,Q122994),Y)))))) ) )+ => ! [S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q122994),bool),bool),subspace),s(fun(cart(real,Q122994),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q122994),bool),bool),subspace),s(fun(cart(real,Q122994),bool),T0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q122994),bool),bool),subspace),s(fun(cart(real,Q122994),bool),i(s(fun(fun(cart(real,Q122994),bool),fun(cart(real,Q122994),bool)),gspec),s(fun(cart(real,Q122994),bool),i(s(fun(fun(cart(real,Q122994),bool),fun(cart(real,Q122994),bool)),i(s(fun(fun(cart(real,Q122994),bool),fun(fun(cart(real,Q122994),bool),fun(cart(real,Q122994),bool))),U_0),s(fun(cart(real,Q122994),bool),S0))),s(fun(cart(real,Q122994),bool),T0)))))))) ) ) )).++fof(aSPANu_UNION,axiom,(+ ! [N,U_0] :+ ( ! [S0,T0,GENR_PVARR_299] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),U_0),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))),s(cart(real,N),GENR_PVARR_299))))+ <=> ? [X,Y,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),T0)))))) ) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_299))),s(bool,V))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),X))),s(cart(real,N),Y)))))) ) )+ => ! [S0,T0] : s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),U_0),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))) ) )).++fof(aSPANu_LINEARu_IMAGE,axiom,(+ ! [N,M,F0,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0))))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),S0))))) ) )).++fof(aDEPENDENTu_LINEARu_IMAGEu_EQ,axiom,(+ ! [N,M,F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) ) )+ => s(bool,i(s(fun(fun(cart(real,N),bool),bool),dependent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,M),bool),bool),dependent),s(fun(cart(real,M),bool),S0))) ) )).++fof(aDEPENDENTu_LINEARu_IMAGE,axiom,(+ ! [N,M,F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),Y))),s(fun(cart(real,M),bool),S0))))+ & s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y))) )+ => s(cart(real,M),X) = s(cart(real,M),Y) )+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),dependent),s(fun(cart(real,M),bool),S0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),dependent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0)))))) ) )).++fof(aINDEPENDENTu_LINEARu_IMAGEu_EQ,axiom,(+ ! [N,M,F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) ) )+ => s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,M),bool),bool),independent),s(fun(cart(real,M),bool),S0))) ) )).++fof(aSPANu_BREAKDOWN,axiom,(+ ! [N,B0,S0,A5] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),B0))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0)))))) )+ => ? [K0] : p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),A5))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,K0))),s(cart(real,N),B0))))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),fun(cart(real,N),bool))),delete),s(fun(cart(real,N),bool),S0))),s(cart(real,N),B0)))))))) ) )).++fof(aSPANu_BREAKDOWNu_EQ,axiom,(+ ! [N,A5,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),x))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),S0))))))))+ <=> ? [K0] : p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),x))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,K0))),s(cart(real,N),A5))))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0)))))) ) )).++fof(aSPANu_INSERTu_0,axiom,(+ ! [Q123623,S0] : s(fun(cart(real,Q123623),bool),i(s(fun(fun(cart(real,Q123623),bool),fun(cart(real,Q123623),bool)),span),s(fun(cart(real,Q123623),bool),i(s(fun(fun(cart(real,Q123623),bool),fun(cart(real,Q123623),bool)),i(s(fun(cart(real,Q123623),fun(fun(cart(real,Q123623),bool),fun(cart(real,Q123623),bool))),insert),s(cart(real,Q123623),i(s(fun(num,cart(real,Q123623)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,Q123623),bool),S0))))) = s(fun(cart(real,Q123623),bool),i(s(fun(fun(cart(real,Q123623),bool),fun(cart(real,Q123623),bool)),span),s(fun(cart(real,Q123623),bool),S0))) )).++fof(aSPANu_SING,axiom,(+ ! [Q123656,U_0] :+ ( ! [A5,GENR_PVARR_301] :+ ( p(s(bool,i(s(fun(cart(real,Q123656),bool),i(s(fun(cart(real,Q123656),fun(cart(real,Q123656),bool)),U_0),s(cart(real,Q123656),A5))),s(cart(real,Q123656),GENR_PVARR_301))))+ <=> ? [U] : p(s(bool,i(s(fun(cart(real,Q123656),bool),i(s(fun(bool,fun(cart(real,Q123656),bool)),i(s(fun(cart(real,Q123656),fun(bool,fun(cart(real,Q123656),bool))),setspec),s(cart(real,Q123656),GENR_PVARR_301))),s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(real,fun(fun(real,bool),bool)),in),s(real,U))),s(fun(real,bool),univ))))),s(cart(real,Q123656),i(s(fun(cart(real,Q123656),cart(real,Q123656)),i(s(fun(real,fun(cart(real,Q123656),cart(real,Q123656))),r_),s(real,U))),s(cart(real,Q123656),A5)))))) )+ => ! [A5] : s(fun(cart(real,Q123656),bool),i(s(fun(fun(cart(real,Q123656),bool),fun(cart(real,Q123656),bool)),span),s(fun(cart(real,Q123656),bool),i(s(fun(fun(cart(real,Q123656),bool),fun(cart(real,Q123656),bool)),i(s(fun(cart(real,Q123656),fun(fun(cart(real,Q123656),bool),fun(cart(real,Q123656),bool))),insert),s(cart(real,Q123656),A5))),s(fun(cart(real,Q123656),bool),empty))))) = s(fun(cart(real,Q123656),bool),i(s(fun(fun(cart(real,Q123656),bool),fun(cart(real,Q123656),bool)),gspec),s(fun(cart(real,Q123656),bool),i(s(fun(cart(real,Q123656),fun(cart(real,Q123656),bool)),U_0),s(cart(real,Q123656),A5))))) ) )).++fof(aSPANu_2,axiom,(+ ! [Q123742,U_0] :+ ( ! [A5,B0,GENR_PVARR_302] :+ ( p(s(bool,i(s(fun(cart(real,Q123742),bool),i(s(fun(cart(real,Q123742),fun(cart(real,Q123742),bool)),i(s(fun(cart(real,Q123742),fun(cart(real,Q123742),fun(cart(real,Q123742),bool))),U_0),s(cart(real,Q123742),A5))),s(cart(real,Q123742),B0))),s(cart(real,Q123742),GENR_PVARR_302))))+ <=> ? [U,V,V0] :+ ( ( p(s(bool,V0))+ <=> ( p(s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(real,fun(fun(real,bool),bool)),in),s(real,U))),s(fun(real,bool),univ))))+ & p(s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(real,fun(fun(real,bool),bool)),in),s(real,V))),s(fun(real,bool),univ)))) ) )+ & p(s(bool,i(s(fun(cart(real,Q123742),bool),i(s(fun(bool,fun(cart(real,Q123742),bool)),i(s(fun(cart(real,Q123742),fun(bool,fun(cart(real,Q123742),bool))),setspec),s(cart(real,Q123742),GENR_PVARR_302))),s(bool,V0))),s(cart(real,Q123742),i(s(fun(cart(real,Q123742),cart(real,Q123742)),i(s(fun(cart(real,Q123742),fun(cart(real,Q123742),cart(real,Q123742))),vectoru_add),s(cart(real,Q123742),i(s(fun(cart(real,Q123742),cart(real,Q123742)),i(s(fun(real,fun(cart(real,Q123742),cart(real,Q123742))),r_),s(real,U))),s(cart(real,Q123742),A5))))),s(cart(real,Q123742),i(s(fun(cart(real,Q123742),cart(real,Q123742)),i(s(fun(real,fun(cart(real,Q123742),cart(real,Q123742))),r_),s(real,V))),s(cart(real,Q123742),B0)))))))) ) )+ => ! [A5,B0] : s(fun(cart(real,Q123742),bool),i(s(fun(fun(cart(real,Q123742),bool),fun(cart(real,Q123742),bool)),span),s(fun(cart(real,Q123742),bool),i(s(fun(fun(cart(real,Q123742),bool),fun(cart(real,Q123742),bool)),i(s(fun(cart(real,Q123742),fun(fun(cart(real,Q123742),bool),fun(cart(real,Q123742),bool))),insert),s(cart(real,Q123742),A5))),s(fun(cart(real,Q123742),bool),i(s(fun(fun(cart(real,Q123742),bool),fun(cart(real,Q123742),bool)),i(s(fun(cart(real,Q123742),fun(fun(cart(real,Q123742),bool),fun(cart(real,Q123742),bool))),insert),s(cart(real,Q123742),B0))),s(fun(cart(real,Q123742),bool),empty))))))) = s(fun(cart(real,Q123742),bool),i(s(fun(fun(cart(real,Q123742),bool),fun(cart(real,Q123742),bool)),gspec),s(fun(cart(real,Q123742),bool),i(s(fun(cart(real,Q123742),fun(cart(real,Q123742),bool)),i(s(fun(cart(real,Q123742),fun(cart(real,Q123742),fun(cart(real,Q123742),bool))),U_0),s(cart(real,Q123742),A5))),s(cart(real,Q123742),B0))))) ) )).++fof(aSPANu_3,axiom,(+ ! [Q123857,U_0] :+ ( ! [A5,B0,C0,GENR_PVARR_303] :+ ( p(s(bool,i(s(fun(cart(real,Q123857),bool),i(s(fun(cart(real,Q123857),fun(cart(real,Q123857),bool)),i(s(fun(cart(real,Q123857),fun(cart(real,Q123857),fun(cart(real,Q123857),bool))),i(s(fun(cart(real,Q123857),fun(cart(real,Q123857),fun(cart(real,Q123857),fun(cart(real,Q123857),bool)))),U_0),s(cart(real,Q123857),A5))),s(cart(real,Q123857),B0))),s(cart(real,Q123857),C0))),s(cart(real,Q123857),GENR_PVARR_303))))+ <=> ? [U,V,W,V0] :+ ( ( p(s(bool,V0))+ <=> ( p(s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(real,fun(fun(real,bool),bool)),in),s(real,U))),s(fun(real,bool),univ))))+ & p(s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(real,fun(fun(real,bool),bool)),in),s(real,V))),s(fun(real,bool),univ))))+ & p(s(bool,i(s(fun(fun(real,bool),bool),i(s(fun(real,fun(fun(real,bool),bool)),in),s(real,W))),s(fun(real,bool),univ)))) ) )+ & p(s(bool,i(s(fun(cart(real,Q123857),bool),i(s(fun(bool,fun(cart(real,Q123857),bool)),i(s(fun(cart(real,Q123857),fun(bool,fun(cart(real,Q123857),bool))),setspec),s(cart(real,Q123857),GENR_PVARR_303))),s(bool,V0))),s(cart(real,Q123857),i(s(fun(cart(real,Q123857),cart(real,Q123857)),i(s(fun(cart(real,Q123857),fun(cart(real,Q123857),cart(real,Q123857))),vectoru_add),s(cart(real,Q123857),i(s(fun(cart(real,Q123857),cart(real,Q123857)),i(s(fun(real,fun(cart(real,Q123857),cart(real,Q123857))),r_),s(real,U))),s(cart(real,Q123857),A5))))),s(cart(real,Q123857),i(s(fun(cart(real,Q123857),cart(real,Q123857)),i(s(fun(cart(real,Q123857),fun(cart(real,Q123857),cart(real,Q123857))),vectoru_add),s(cart(real,Q123857),i(s(fun(cart(real,Q123857),cart(real,Q123857)),i(s(fun(real,fun(cart(real,Q123857),cart(real,Q123857))),r_),s(real,V))),s(cart(real,Q123857),B0))))),s(cart(real,Q123857),i(s(fun(cart(real,Q123857),cart(real,Q123857)),i(s(fun(real,fun(cart(real,Q123857),cart(real,Q123857))),r_),s(real,W))),s(cart(real,Q123857),C0)))))))))) ) )+ => ! [A5,B0,C0] : s(fun(cart(real,Q123857),bool),i(s(fun(fun(cart(real,Q123857),bool),fun(cart(real,Q123857),bool)),span),s(fun(cart(real,Q123857),bool),i(s(fun(fun(cart(real,Q123857),bool),fun(cart(real,Q123857),bool)),i(s(fun(cart(real,Q123857),fun(fun(cart(real,Q123857),bool),fun(cart(real,Q123857),bool))),insert),s(cart(real,Q123857),A5))),s(fun(cart(real,Q123857),bool),i(s(fun(fun(cart(real,Q123857),bool),fun(cart(real,Q123857),bool)),i(s(fun(cart(real,Q123857),fun(fun(cart(real,Q123857),bool),fun(cart(real,Q123857),bool))),insert),s(cart(real,Q123857),B0))),s(fun(cart(real,Q123857),bool),i(s(fun(fun(cart(real,Q123857),bool),fun(cart(real,Q123857),bool)),i(s(fun(cart(real,Q123857),fun(fun(cart(real,Q123857),bool),fun(cart(real,Q123857),bool))),insert),s(cart(real,Q123857),C0))),s(fun(cart(real,Q123857),bool),empty))))))))) = s(fun(cart(real,Q123857),bool),i(s(fun(fun(cart(real,Q123857),bool),fun(cart(real,Q123857),bool)),gspec),s(fun(cart(real,Q123857),bool),i(s(fun(cart(real,Q123857),fun(cart(real,Q123857),bool)),i(s(fun(cart(real,Q123857),fun(cart(real,Q123857),fun(cart(real,Q123857),bool))),i(s(fun(cart(real,Q123857),fun(cart(real,Q123857),fun(cart(real,Q123857),fun(cart(real,Q123857),bool)))),U_0),s(cart(real,Q123857),A5))),s(cart(real,Q123857),B0))),s(cart(real,Q123857),C0))))) ) )).++fof(aINu_SPANu_INSERT,axiom,(+ ! [N,A5,B0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),S0))))))))+ & ~ p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0)))))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),S0)))))))) ) )).++fof(aINu_SPANu_DELETE,axiom,(+ ! [Q124006,A5,B0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q124006),bool),bool),i(s(fun(cart(real,Q124006),fun(fun(cart(real,Q124006),bool),bool)),in),s(cart(real,Q124006),A5))),s(fun(cart(real,Q124006),bool),i(s(fun(fun(cart(real,Q124006),bool),fun(cart(real,Q124006),bool)),span),s(fun(cart(real,Q124006),bool),S0))))))+ & ~ p(s(bool,i(s(fun(fun(cart(real,Q124006),bool),bool),i(s(fun(cart(real,Q124006),fun(fun(cart(real,Q124006),bool),bool)),in),s(cart(real,Q124006),A5))),s(fun(cart(real,Q124006),bool),i(s(fun(fun(cart(real,Q124006),bool),fun(cart(real,Q124006),bool)),span),s(fun(cart(real,Q124006),bool),i(s(fun(cart(real,Q124006),fun(cart(real,Q124006),bool)),i(s(fun(fun(cart(real,Q124006),bool),fun(cart(real,Q124006),fun(cart(real,Q124006),bool))),delete),s(fun(cart(real,Q124006),bool),S0))),s(cart(real,Q124006),B0)))))))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q124006),bool),bool),i(s(fun(cart(real,Q124006),fun(fun(cart(real,Q124006),bool),bool)),in),s(cart(real,Q124006),B0))),s(fun(cart(real,Q124006),bool),i(s(fun(fun(cart(real,Q124006),bool),fun(cart(real,Q124006),bool)),span),s(fun(cart(real,Q124006),bool),i(s(fun(fun(cart(real,Q124006),bool),fun(cart(real,Q124006),bool)),i(s(fun(cart(real,Q124006),fun(fun(cart(real,Q124006),bool),fun(cart(real,Q124006),bool))),insert),s(cart(real,Q124006),A5))),s(fun(cart(real,Q124006),bool),i(s(fun(cart(real,Q124006),fun(cart(real,Q124006),bool)),i(s(fun(fun(cart(real,Q124006),bool),fun(cart(real,Q124006),fun(cart(real,Q124006),bool))),delete),s(fun(cart(real,Q124006),bool),S0))),s(cart(real,Q124006),B0)))))))))) ) )).++fof(aEQu_SPANu_INSERTu_EQ,axiom,(+ ! [N,S0,X,Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),X))),s(cart(real,N),Y))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ => s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),X))),s(fun(cart(real,N),bool),S0))))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),Y))),s(fun(cart(real,N),bool),S0))))) ) )).++fof(aSPANu_TRANS,axiom,(+ ! [N,X,Y,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),X))),s(fun(cart(real,N),bool),S0)))))))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0)))))) ) )).++fof(aSPANu_EXPLICIT,axiom,(+ ! [N,U_1] :+ ( ! [U,V] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_1),s(fun(cart(real,N),real),U))),s(cart(real,N),V))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),U),s(cart(real,N),V))))),s(cart(real,N),V)))+ => ! [U_0] :+ ( ! [P0,GENR_PVARR_304] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),U_0),s(fun(cart(real,N),bool),P0))),s(cart(real,N),GENR_PVARR_304))))+ <=> ? [Y,V] :+ ( ( p(s(bool,V))+ <=> ? [S0,U] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),P0))))+ & s(cart(real,N),i(s(fun(fun(cart(real,N),cart(real,N)),cart(real,N)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),cart(real,N)),cart(real,N))),vsum),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_1),s(fun(cart(real,N),real),U))))) = s(cart(real,N),Y) ) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_304))),s(bool,V))),s(cart(real,N),Y)))) ) )+ => ! [P0] : s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),P0))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),U_0),s(fun(cart(real,N),bool),P0))))) ) ) )).++fof(aDEPENDENTu_EXPLICIT,axiom,(+ ! [N,U_0] :+ ( ! [U,V] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_0),s(fun(cart(real,N),real),U))),s(cart(real,N),V))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),U),s(cart(real,N),V))))),s(cart(real,N),V)))+ => ! [P0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),dependent),s(fun(cart(real,N),bool),P0))))+ <=> ? [S0,U] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),P0))))+ & ? [V] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),V))),s(fun(cart(real,N),bool),S0))))+ & s(real,i(s(fun(cart(real,N),real),U),s(cart(real,N),V))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & s(cart(real,N),i(s(fun(fun(cart(real,N),cart(real,N)),cart(real,N)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),cart(real,N)),cart(real,N))),vsum),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_0),s(fun(cart(real,N),real),U))))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) )).++fof(aDEPENDENTu_FINITE,axiom,(+ ! [N,U_0] :+ ( ! [U,V] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_0),s(fun(cart(real,N),real),U))),s(cart(real,N),V))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),U),s(cart(real,N),V))))),s(cart(real,N),V)))+ => ! [S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),S0))))+ => ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),dependent),s(fun(cart(real,N),bool),S0))))+ <=> ? [U] :+ ( ? [V] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),V))),s(fun(cart(real,N),bool),S0))))+ & s(real,i(s(fun(cart(real,N),real),U),s(cart(real,N),V))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & s(cart(real,N),i(s(fun(fun(cart(real,N),cart(real,N)),cart(real,N)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),cart(real,N)),cart(real,N))),vsum),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_0),s(fun(cart(real,N),real),U))))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) ) )).++fof(aSPANu_FINITE,axiom,(+ ! [N,U_1] :+ ( ! [U,V] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_1),s(fun(cart(real,N),real),U))),s(cart(real,N),V))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),U),s(cart(real,N),V))))),s(cart(real,N),V)))+ => ! [U_0] :+ ( ! [S0,GENR_PVARR_307] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),U_0),s(fun(cart(real,N),bool),S0))),s(cart(real,N),GENR_PVARR_307))))+ <=> ? [Y,V] :+ ( ( p(s(bool,V))+ <=> ? [U] : s(cart(real,N),i(s(fun(fun(cart(real,N),cart(real,N)),cart(real,N)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),cart(real,N)),cart(real,N))),vsum),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_1),s(fun(cart(real,N),real),U))))) = s(cart(real,N),Y) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_307))),s(bool,V))),s(cart(real,N),Y)))) ) )+ => ! [S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),S0))))+ => s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),U_0),s(fun(cart(real,N),bool),S0))))) ) ) ) )).++fof(aSPANu_STDBASIS,axiom,(+ ! [N,U_0] :+ ( ! [GENR_PVARR_308] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),U_0),s(cart(real,N),GENR_PVARR_308))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_308))),s(bool,V))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0)))))) ) )+ => s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),U_0))))) = s(fun(cart(real,N),bool),univ) ) )).++fof(aHASu_SIZEu_STDBASIS,axiom,(+ ! [N,U_0] :+ ( ! [GENR_PVARR_311] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),U_0),s(cart(real,N),GENR_PVARR_311))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_311))),s(bool,V))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0)))))) ) )+ => p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,N),bool),fun(num,bool)),hasu_size),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),U_0))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )).++fof(aFINITEu_STDBASIS,axiom,(+ ! [N,U_0] :+ ( ! [GENR_PVARR_312] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),U_0),s(cart(real,N),GENR_PVARR_312))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_312))),s(bool,V))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0)))))) ) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),U_0)))))) ) )).++fof(aCARDu_STDBASIS,axiom,(+ ! [N,U_0] :+ ( ! [GENR_PVARR_313] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),U_0),s(cart(real,N),GENR_PVARR_313))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_313))),s(bool,V))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0)))))) ) )+ => s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),U_0))))) = s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))) ) )).++fof(aINu_SPANu_IMAGEu_BASIS,axiom,(+ ! [N,X,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(num,bool),fun(cart(real,N),bool)),i(s(fun(fun(num,cart(real,N)),fun(fun(num,bool),fun(cart(real,N),bool))),image),s(fun(num,cart(real,N)),basis))),s(fun(num,bool),S0))))))))+ <=> ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ & ~ p(s(bool,i(s(fun(fun(num,bool),bool),i(s(fun(num,fun(fun(num,bool),bool)),in),s(num,I0))),s(fun(num,bool),S0)))) )+ => s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aINDEPENDENTu_STDBASIS,axiom,(+ ! [N,U_0] :+ ( ! [GENR_PVARR_318] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),U_0),s(cart(real,N),GENR_PVARR_318))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_318))),s(bool,V))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,I0)))))) ) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),U_0)))))) ) )).++fof(aINDEPENDENTu_INSERT,axiom,(+ ! [N,A5,S0] :+ ? [V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0))))+ & ~ p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0)))))) ) )+ & s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),S0))))) = s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),i(s(fun(bool,fun(bool,fun(bool,bool))),cond),s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),A5))),s(fun(cart(real,N),bool),S0))))),s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0))))),s(bool,V))) ) )).++fof(aSPANNINGu_SUBSETu_INDEPENDENT,axiom,(+ ! [N,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),T0))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),T0)))))) )+ => s(fun(cart(real,N),bool),S0) = s(fun(cart(real,N),bool),T0) ) )).++fof(aEXCHANGEu_LEMMA,axiom,(+ ! [N,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),T0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),T0)))))) )+ => ? [TI_] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,N),bool),fun(num,bool)),hasu_size),s(fun(cart(real,N),bool),TI_))),s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),T0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),TI_))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),TI_))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),TI_)))))) ) ) )).++fof(aINDEPENDENTu_SPANu_BOUND,axiom,(+ ! [Q125545,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q125545),bool),bool),finite),s(fun(cart(real,Q125545),bool),T0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q125545),bool),bool),independent),s(fun(cart(real,Q125545),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q125545),bool),bool),i(s(fun(fun(cart(real,Q125545),bool),fun(fun(cart(real,Q125545),bool),bool)),subset),s(fun(cart(real,Q125545),bool),S0))),s(fun(cart(real,Q125545),bool),i(s(fun(fun(cart(real,Q125545),bool),fun(cart(real,Q125545),bool)),span),s(fun(cart(real,Q125545),bool),T0)))))) )+ => ( p(s(bool,i(s(fun(fun(cart(real,Q125545),bool),bool),finite),s(fun(cart(real,Q125545),bool),S0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,Q125545),bool),num),card),s(fun(cart(real,Q125545),bool),S0))))),s(num,i(s(fun(fun(cart(real,Q125545),bool),num),card),s(fun(cart(real,Q125545),bool),T0)))))) ) ) )).++fof(aINDEPENDENTu_BOUND,axiom,(+ ! [N,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0))))+ => ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) ) )).++fof(aDEPENDENTu_BIGGERSET,axiom,(+ ! [N,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),S0))))+ => p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),g_),s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),dependent),s(fun(cart(real,N),bool),S0)))) ) )).++fof(aINDEPENDENTu_IMPu_FINITE,axiom,(+ ! [N,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0))))+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),S0)))) ) )).++fof(aINDEPENDENTu_EXPLICIT,axiom,(+ ! [N,U_0] :+ ( ! [C0,V] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_0),s(fun(cart(real,N),real),C0))),s(cart(real,N),V))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),C0),s(cart(real,N),V))))),s(cart(real,N),V)))+ => ! [B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0))))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),B0))))+ & ! [C0] :+ ( s(cart(real,N),i(s(fun(fun(cart(real,N),cart(real,N)),cart(real,N)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),cart(real,N)),cart(real,N))),vsum),s(fun(cart(real,N),bool),B0))),s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_0),s(fun(cart(real,N),real),C0))))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => ! [V] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),V))),s(fun(cart(real,N),bool),B0))))+ => s(real,i(s(fun(cart(real,N),real),C0),s(cart(real,N),V))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) ) ) )).++fof(aINDEPENDENTu_SING,axiom,(+ ! [Q125680,X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q125680),bool),bool),independent),s(fun(cart(real,Q125680),bool),i(s(fun(fun(cart(real,Q125680),bool),fun(cart(real,Q125680),bool)),i(s(fun(cart(real,Q125680),fun(fun(cart(real,Q125680),bool),fun(cart(real,Q125680),bool))),insert),s(cart(real,Q125680),X))),s(fun(cart(real,Q125680),bool),empty))))))+ <=> s(cart(real,Q125680),X) != s(cart(real,Q125680),i(s(fun(num,cart(real,Q125680)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aDEPENDENTu_SING,axiom,(+ ! [Q125698,X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q125698),bool),bool),dependent),s(fun(cart(real,Q125698),bool),i(s(fun(fun(cart(real,Q125698),bool),fun(cart(real,Q125698),bool)),i(s(fun(cart(real,Q125698),fun(fun(cart(real,Q125698),bool),fun(cart(real,Q125698),bool))),insert),s(cart(real,Q125698),X))),s(fun(cart(real,Q125698),bool),empty))))))+ <=> s(cart(real,Q125698),X) = s(cart(real,Q125698),i(s(fun(num,cart(real,Q125698)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aDEPENDENTu_2,axiom,(+ ! [N,A5,B0] :+ ? [V] :+ ( ( p(s(bool,V))+ <=> ? [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,X))),s(cart(real,N),A5))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,Y))),s(cart(real,N),B0))))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & ~ ( s(real,X) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & s(real,Y) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )+ & ? [VI_] :+ ( ( p(s(bool,VI_))+ <=> s(cart(real,N),A5) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & ? [VI_I_] :+ ( ( p(s(bool,VI_I_))+ <=> s(cart(real,N),A5) = s(cart(real,N),B0) )+ & s(bool,i(s(fun(fun(cart(real,N),bool),bool),dependent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),empty))))))) = s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),i(s(fun(bool,fun(bool,fun(bool,bool))),cond),s(bool,VI_I_))),s(bool,VI_))),s(bool,V))) ) ) ) )).++fof(aDEPENDENTu_3,axiom,(+ ! [N,A5,B0,C0] :+ ( ( s(cart(real,N),A5) != s(cart(real,N),B0)+ & s(cart(real,N),A5) != s(cart(real,N),C0)+ & s(cart(real,N),B0) != s(cart(real,N),C0) )+ => ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),dependent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),C0))),s(fun(cart(real,N),bool),empty))))))))))+ <=> ? [X,Y,Z0] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,X))),s(cart(real,N),A5))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,Y))),s(cart(real,N),B0))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,Z0))),s(cart(real,N),C0))))))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & ~ ( s(real,X) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & s(real,Y) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & s(real,Z0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) ) )).++fof(aINDEPENDENTu_2,axiom,(+ ! [N,A5,B0,X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),empty))))))))+ & s(cart(real,N),A5) != s(cart(real,N),B0) )+ => ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,X))),s(cart(real,N),A5))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,Y))),s(cart(real,N),B0))))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> ( s(real,X) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & s(real,Y) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) )).++fof(aINDEPENDENTu_3,axiom,(+ ! [N,A5,B0,C0,X,Y,Z0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),C0))),s(fun(cart(real,N),bool),empty))))))))))+ & s(cart(real,N),A5) != s(cart(real,N),B0)+ & s(cart(real,N),A5) != s(cart(real,N),C0)+ & s(cart(real,N),B0) != s(cart(real,N),C0) )+ => ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,X))),s(cart(real,N),A5))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,Y))),s(cart(real,N),B0))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,Z0))),s(cart(real,N),C0))))))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> ( s(real,X) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & s(real,Y) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & s(real,Z0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) )).++fof(aMAXIMALu_INDEPENDENTu_SUBSETu_EXTEND,axiom,(+ ! [N,S0,V] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),V))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0)))) )+ => ? [B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),B0))),s(fun(cart(real,N),bool),V))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),V))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0)))))) ) ) )).++fof(aMAXIMALu_INDEPENDENTu_SUBSET,axiom,(+ ! [N,V] :+ ? [B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),B0))),s(fun(cart(real,N),bool),V))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),V))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0)))))) ) )).++fof(aLINEARu_SUBSPACEu_GRAPH,axiom,(+ ! [M,N,U_0] :+ ( ! [F0,GENR_PVARR_319] :+ ( p(s(bool,i(s(fun(cart(real,finite_sum(M,N)),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,finite_sum(M,N)),bool)),U_0),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,finite_sum(M,N)),GENR_PVARR_319))))+ <=> ? [X] : p(s(bool,i(s(fun(cart(real,finite_sum(M,N)),bool),i(s(fun(bool,fun(cart(real,finite_sum(M,N)),bool)),i(s(fun(cart(real,finite_sum(M,N)),fun(bool,fun(cart(real,finite_sum(M,N)),bool))),setspec),s(cart(real,finite_sum(M,N)),GENR_PVARR_319))),s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),univ))))),s(cart(real,finite_sum(M,N)),i(s(fun(cart(real,N),cart(real,finite_sum(M,N))),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,finite_sum(M,N)))),pastecart),s(cart(real,M),X))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X)))))))) )+ => ! [F0] : s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))) = s(bool,i(s(fun(fun(cart(real,finite_sum(M,N)),bool),bool),subspace),s(fun(cart(real,finite_sum(M,N)),bool),i(s(fun(fun(cart(real,finite_sum(M,N)),bool),fun(cart(real,finite_sum(M,N)),bool)),gspec),s(fun(cart(real,finite_sum(M,N)),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,finite_sum(M,N)),bool)),U_0),s(fun(cart(real,M),cart(real,N)),F0))))))) ) )).++fof(adim,axiom,(+ ! [Q126331,U_0] :+ ( ! [V,N0] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,Q126331),bool),fun(num,bool)),U_0),s(fun(cart(real,Q126331),bool),V))),s(num,N0))))+ <=> ? [B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q126331),bool),bool),i(s(fun(fun(cart(real,Q126331),bool),fun(fun(cart(real,Q126331),bool),bool)),subset),s(fun(cart(real,Q126331),bool),B0))),s(fun(cart(real,Q126331),bool),V))))+ & p(s(bool,i(s(fun(fun(cart(real,Q126331),bool),bool),independent),s(fun(cart(real,Q126331),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q126331),bool),bool),i(s(fun(fun(cart(real,Q126331),bool),fun(fun(cart(real,Q126331),bool),bool)),subset),s(fun(cart(real,Q126331),bool),V))),s(fun(cart(real,Q126331),bool),i(s(fun(fun(cart(real,Q126331),bool),fun(cart(real,Q126331),bool)),span),s(fun(cart(real,Q126331),bool),B0))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,Q126331),bool),fun(num,bool)),hasu_size),s(fun(cart(real,Q126331),bool),B0))),s(num,N0)))) ) )+ => ! [V] : s(num,i(s(fun(fun(cart(real,Q126331),bool),num),dim),s(fun(cart(real,Q126331),bool),V))) = s(num,i(s(fun(fun(num,bool),num),h_),s(fun(num,bool),i(s(fun(fun(cart(real,Q126331),bool),fun(num,bool)),U_0),s(fun(cart(real,Q126331),bool),V))))) ) )).++fof(aBASISu_EXISTS,axiom,(+ ! [Q126364,V] :+ ? [B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q126364),bool),bool),i(s(fun(fun(cart(real,Q126364),bool),fun(fun(cart(real,Q126364),bool),bool)),subset),s(fun(cart(real,Q126364),bool),B0))),s(fun(cart(real,Q126364),bool),V))))+ & p(s(bool,i(s(fun(fun(cart(real,Q126364),bool),bool),independent),s(fun(cart(real,Q126364),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q126364),bool),bool),i(s(fun(fun(cart(real,Q126364),bool),fun(fun(cart(real,Q126364),bool),bool)),subset),s(fun(cart(real,Q126364),bool),V))),s(fun(cart(real,Q126364),bool),i(s(fun(fun(cart(real,Q126364),bool),fun(cart(real,Q126364),bool)),span),s(fun(cart(real,Q126364),bool),B0))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,Q126364),bool),fun(num,bool)),hasu_size),s(fun(cart(real,Q126364),bool),B0))),s(num,i(s(fun(fun(cart(real,Q126364),bool),num),dim),s(fun(cart(real,Q126364),bool),V)))))) ) )).++fof(aBASISu_EXISTSu_FINITE,axiom,(+ ! [Q126398,V] :+ ? [B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q126398),bool),bool),finite),s(fun(cart(real,Q126398),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q126398),bool),bool),i(s(fun(fun(cart(real,Q126398),bool),fun(fun(cart(real,Q126398),bool),bool)),subset),s(fun(cart(real,Q126398),bool),B0))),s(fun(cart(real,Q126398),bool),V))))+ & p(s(bool,i(s(fun(fun(cart(real,Q126398),bool),bool),independent),s(fun(cart(real,Q126398),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q126398),bool),bool),i(s(fun(fun(cart(real,Q126398),bool),fun(fun(cart(real,Q126398),bool),bool)),subset),s(fun(cart(real,Q126398),bool),V))),s(fun(cart(real,Q126398),bool),i(s(fun(fun(cart(real,Q126398),bool),fun(cart(real,Q126398),bool)),span),s(fun(cart(real,Q126398),bool),B0))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,Q126398),bool),fun(num,bool)),hasu_size),s(fun(cart(real,Q126398),bool),B0))),s(num,i(s(fun(fun(cart(real,Q126398),bool),num),dim),s(fun(cart(real,Q126398),bool),V)))))) ) )).++fof(aBASISu_SUBSPACEu_EXISTS,axiom,(+ ! [N,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),S0))))+ => ? [B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),B0))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0))) = s(fun(cart(real,N),bool),S0)+ & p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,N),bool),fun(num,bool)),hasu_size),s(fun(cart(real,N),bool),B0))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0)))))) ) ) )).++fof(aINDEPENDENTu_CARDu_LEu_DIM,axiom,(+ ! [N,V,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),B0))),s(fun(cart(real,N),bool),V))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0)))) )+ => ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),B0))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),V)))))) ) ) )).++fof(aSPANu_CARDu_GEu_DIM,axiom,(+ ! [N,V,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),V))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),B0)))) )+ => p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),V))))),s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),B0)))))) ) )).++fof(aBASISu_CARDu_EQu_DIM,axiom,(+ ! [Q126529,V,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q126529),bool),bool),i(s(fun(fun(cart(real,Q126529),bool),fun(fun(cart(real,Q126529),bool),bool)),subset),s(fun(cart(real,Q126529),bool),B0))),s(fun(cart(real,Q126529),bool),V))))+ & p(s(bool,i(s(fun(fun(cart(real,Q126529),bool),bool),i(s(fun(fun(cart(real,Q126529),bool),fun(fun(cart(real,Q126529),bool),bool)),subset),s(fun(cart(real,Q126529),bool),V))),s(fun(cart(real,Q126529),bool),i(s(fun(fun(cart(real,Q126529),bool),fun(cart(real,Q126529),bool)),span),s(fun(cart(real,Q126529),bool),B0))))))+ & p(s(bool,i(s(fun(fun(cart(real,Q126529),bool),bool),independent),s(fun(cart(real,Q126529),bool),B0)))) )+ => ( p(s(bool,i(s(fun(fun(cart(real,Q126529),bool),bool),finite),s(fun(cart(real,Q126529),bool),B0))))+ & s(num,i(s(fun(fun(cart(real,Q126529),bool),num),card),s(fun(cart(real,Q126529),bool),B0))) = s(num,i(s(fun(fun(cart(real,Q126529),bool),num),dim),s(fun(cart(real,Q126529),bool),V))) ) ) )).++fof(aBASISu_HASu_SIZEu_DIM,axiom,(+ ! [Q126544,V,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q126544),bool),bool),independent),s(fun(cart(real,Q126544),bool),B0))))+ & s(fun(cart(real,Q126544),bool),i(s(fun(fun(cart(real,Q126544),bool),fun(cart(real,Q126544),bool)),span),s(fun(cart(real,Q126544),bool),B0))) = s(fun(cart(real,Q126544),bool),V) )+ => p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,Q126544),bool),fun(num,bool)),hasu_size),s(fun(cart(real,Q126544),bool),B0))),s(num,i(s(fun(fun(cart(real,Q126544),bool),num),dim),s(fun(cart(real,Q126544),bool),V)))))) ) )).++fof(aDIMu_UNIQUE,axiom,(+ ! [Q126589,V,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q126589),bool),bool),i(s(fun(fun(cart(real,Q126589),bool),fun(fun(cart(real,Q126589),bool),bool)),subset),s(fun(cart(real,Q126589),bool),B0))),s(fun(cart(real,Q126589),bool),V))))+ & p(s(bool,i(s(fun(fun(cart(real,Q126589),bool),bool),i(s(fun(fun(cart(real,Q126589),bool),fun(fun(cart(real,Q126589),bool),bool)),subset),s(fun(cart(real,Q126589),bool),V))),s(fun(cart(real,Q126589),bool),i(s(fun(fun(cart(real,Q126589),bool),fun(cart(real,Q126589),bool)),span),s(fun(cart(real,Q126589),bool),B0))))))+ & p(s(bool,i(s(fun(fun(cart(real,Q126589),bool),bool),independent),s(fun(cart(real,Q126589),bool),B0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,Q126589),bool),fun(num,bool)),hasu_size),s(fun(cart(real,Q126589),bool),B0))),s(num,n)))) )+ => s(num,i(s(fun(fun(cart(real,Q126589),bool),num),dim),s(fun(cart(real,Q126589),bool),V))) = s(num,n) ) )).++fof(aDIMu_LEu_CARD,axiom,(+ ! [Q126603,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q126603),bool),bool),finite),s(fun(cart(real,Q126603),bool),S0))))+ => p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,Q126603),bool),num),dim),s(fun(cart(real,Q126603),bool),S0))))),s(num,i(s(fun(fun(cart(real,Q126603),bool),num),card),s(fun(cart(real,Q126603),bool),S0)))))) ) )).++fof(aDIMu_UNIV,axiom,(+ ! [N] : s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),univ))) = s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))) )).++fof(aDIMu_SUBSET,axiom,(+ ! [N,S0,T0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))+ => p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),T0)))))) ) )).++fof(aDIMu_SUBSETu_UNIV,axiom,(+ ! [N,S0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )).++fof(aBASISu_HASu_SIZEu_UNIV,axiom,(+ ! [N,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0))) = s(fun(cart(real,N),bool),univ) )+ => p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,N),bool),fun(num,bool)),hasu_size),s(fun(cart(real,N),bool),B0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )).++fof(aCARDu_GEu_DIMu_INDEPENDENT,axiom,(+ ! [N,V,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),B0))),s(fun(cart(real,N),bool),V))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),V))))),s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),B0)))))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),V))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0)))))) ) )).++fof(aCARDu_LEu_DIMu_SPANNING,axiom,(+ ! [N,V,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),V))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),B0))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),V)))))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0)))) ) )).++fof(aCARDu_EQu_DIM,axiom,(+ ! [Q126884,V,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q126884),bool),bool),i(s(fun(fun(cart(real,Q126884),bool),fun(fun(cart(real,Q126884),bool),bool)),subset),s(fun(cart(real,Q126884),bool),B0))),s(fun(cart(real,Q126884),bool),V))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,Q126884),bool),fun(num,bool)),hasu_size),s(fun(cart(real,Q126884),bool),B0))),s(num,i(s(fun(fun(cart(real,Q126884),bool),num),dim),s(fun(cart(real,Q126884),bool),V)))))) )+ => s(bool,i(s(fun(fun(cart(real,Q126884),bool),bool),independent),s(fun(cart(real,Q126884),bool),B0))) = s(bool,i(s(fun(fun(cart(real,Q126884),bool),bool),i(s(fun(fun(cart(real,Q126884),bool),fun(fun(cart(real,Q126884),bool),bool)),subset),s(fun(cart(real,Q126884),bool),V))),s(fun(cart(real,Q126884),bool),i(s(fun(fun(cart(real,Q126884),bool),fun(cart(real,Q126884),bool)),span),s(fun(cart(real,Q126884),bool),B0))))) ) )).++fof(aINDEPENDENTu_BOUNDu_GENERAL,axiom,(+ ! [N,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0))))+ => ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0)))))) ) ) )).++fof(aDEPENDENTu_BIGGERSETu_GENERAL,axiom,(+ ! [N,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),S0))))+ => p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),g_),s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0)))))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),dependent),s(fun(cart(real,N),bool),S0)))) ) )).++fof(aDIMu_SPAN,axiom,(+ ! [N,S0] : s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))) = s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))) )).++fof(aDIMu_INSERTu_0,axiom,(+ ! [N,S0] : s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,N),bool),S0))))) = s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))) )).++fof(aDIMu_EQu_CARD,axiom,(+ ! [N,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0))))+ => s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))) = s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),S0))) ) )).++fof(aSUBSETu_LEu_DIM,axiom,(+ ! [N,S0,T0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),T0))))))+ => p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),T0)))))) ) )).++fof(aSPANu_EQu_DIM,axiom,(+ ! [Q127017,S0,T0] :+ ( s(fun(cart(real,Q127017),bool),i(s(fun(fun(cart(real,Q127017),bool),fun(cart(real,Q127017),bool)),span),s(fun(cart(real,Q127017),bool),S0))) = s(fun(cart(real,Q127017),bool),i(s(fun(fun(cart(real,Q127017),bool),fun(cart(real,Q127017),bool)),span),s(fun(cart(real,Q127017),bool),T0)))+ => s(num,i(s(fun(fun(cart(real,Q127017),bool),num),dim),s(fun(cart(real,Q127017),bool),S0))) = s(num,i(s(fun(fun(cart(real,Q127017),bool),num),dim),s(fun(cart(real,Q127017),bool),T0))) ) )).++fof(aSPANSu_IMAGE,axiom,(+ ! [Q127058,Q127043,F0,B0,V] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q127043),cart(real,Q127058)),bool),linear),s(fun(cart(real,Q127043),cart(real,Q127058)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q127043),bool),bool),i(s(fun(fun(cart(real,Q127043),bool),fun(fun(cart(real,Q127043),bool),bool)),subset),s(fun(cart(real,Q127043),bool),V))),s(fun(cart(real,Q127043),bool),i(s(fun(fun(cart(real,Q127043),bool),fun(cart(real,Q127043),bool)),span),s(fun(cart(real,Q127043),bool),B0)))))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q127058),bool),bool),i(s(fun(fun(cart(real,Q127058),bool),fun(fun(cart(real,Q127058),bool),bool)),subset),s(fun(cart(real,Q127058),bool),i(s(fun(fun(cart(real,Q127043),bool),fun(cart(real,Q127058),bool)),i(s(fun(fun(cart(real,Q127043),cart(real,Q127058)),fun(fun(cart(real,Q127043),bool),fun(cart(real,Q127058),bool))),image),s(fun(cart(real,Q127043),cart(real,Q127058)),F0))),s(fun(cart(real,Q127043),bool),V))))),s(fun(cart(real,Q127058),bool),i(s(fun(fun(cart(real,Q127058),bool),fun(cart(real,Q127058),bool)),span),s(fun(cart(real,Q127058),bool),i(s(fun(fun(cart(real,Q127043),bool),fun(cart(real,Q127058),bool)),i(s(fun(fun(cart(real,Q127043),cart(real,Q127058)),fun(fun(cart(real,Q127043),bool),fun(cart(real,Q127058),bool))),image),s(fun(cart(real,Q127043),cart(real,Q127058)),F0))),s(fun(cart(real,Q127043),bool),B0)))))))) ) )).++fof(aDIMu_LINEARu_IMAGEu_LE,axiom,(+ ! [N,M,F0,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0))))))),s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),S0)))))) ) )).++fof(aDIMu_EMPTY,axiom,(+ ! [N] : s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),empty))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))) )).++fof(aDIMu_INSERT,axiom,(+ ! [N,X,S0] : s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),X))),s(fun(cart(real,N),bool),S0))))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),i(s(fun(bool,fun(num,fun(num,num))),cond),s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) )).++fof(aDIMu_SING,axiom,(+ ! [Q127174,X] :+ ? [V] :+ ( ( p(s(bool,V))+ <=> s(cart(real,Q127174),X) = s(cart(real,Q127174),i(s(fun(num,cart(real,Q127174)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & s(num,i(s(fun(fun(cart(real,Q127174),bool),num),dim),s(fun(cart(real,Q127174),bool),i(s(fun(fun(cart(real,Q127174),bool),fun(cart(real,Q127174),bool)),i(s(fun(cart(real,Q127174),fun(fun(cart(real,Q127174),bool),fun(cart(real,Q127174),bool))),insert),s(cart(real,Q127174),X))),s(fun(cart(real,Q127174),bool),empty))))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),i(s(fun(bool,fun(num,fun(num,num))),cond),s(bool,V))),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )).++fof(aDIMu_EQu_0,axiom,(+ ! [N,S0] :+ ( s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))) = s(num,i(s(fun(num,num),numeral),s(num,u_0)))+ <=> p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,N),bool),empty)))))) ) )).++fof(aSPANNINGu_SURJECTIVEu_IMAGE,axiom,(+ ! [N,M,F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(fun(cart(real,M),bool),fun(fun(cart(real,M),bool),bool)),subset),s(fun(cart(real,M),bool),univ))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [Y] :+ ? [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),Y) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),univ))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0)))))))) ) )).++fof(aINDEPENDENTu_INJECTIVEu_IMAGEu_GEN,axiom,(+ ! [N,M,F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),independent),s(fun(cart(real,M),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),Y))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),S0))))))+ & s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y))) )+ => s(cart(real,M),X) = s(cart(real,M),Y) ) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0)))))) ) )).++fof(aINDEPENDENTu_INJECTIVEu_IMAGE,axiom,(+ ! [N,M,F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),independent),s(fun(cart(real,M),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) ) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0)))))) ) )).++fof(aVECTORu_SUBu_PROJECTu_ORTHOGONAL,axiom,(+ ! [N,B0,X] : s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),B0))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),X))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),B0))),s(cart(real,N),X))))),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),B0))),s(cart(real,N),B0))))))),s(cart(real,N),B0))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aBASISu_ORTHOGONAL,axiom,(+ ! [N,B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),B0))))+ => ? [C0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),C0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),C0))))),s(num,i(s(fun(fun(cart(real,N),bool),num),card),s(fun(cart(real,N),bool),B0))))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),C0))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0)))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),C0)))) ) ) )).++fof(aORTHOGONALu_BASISu_EXISTS,axiom,(+ ! [N,V] :+ ? [B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),V))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),V))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,N),bool),fun(num,bool)),hasu_size),s(fun(cart(real,N),bool),B0))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),V))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),B0)))) ) )).++fof(aSPANu_EQ,axiom,(+ ! [Q127738,S0,T0] :+ ( s(fun(cart(real,Q127738),bool),i(s(fun(fun(cart(real,Q127738),bool),fun(cart(real,Q127738),bool)),span),s(fun(cart(real,Q127738),bool),S0))) = s(fun(cart(real,Q127738),bool),i(s(fun(fun(cart(real,Q127738),bool),fun(cart(real,Q127738),bool)),span),s(fun(cart(real,Q127738),bool),T0)))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,Q127738),bool),bool),i(s(fun(fun(cart(real,Q127738),bool),fun(fun(cart(real,Q127738),bool),bool)),subset),s(fun(cart(real,Q127738),bool),S0))),s(fun(cart(real,Q127738),bool),i(s(fun(fun(cart(real,Q127738),bool),fun(cart(real,Q127738),bool)),span),s(fun(cart(real,Q127738),bool),T0))))))+ & p(s(bool,i(s(fun(fun(cart(real,Q127738),bool),bool),i(s(fun(fun(cart(real,Q127738),bool),fun(fun(cart(real,Q127738),bool),bool)),subset),s(fun(cart(real,Q127738),bool),T0))),s(fun(cart(real,Q127738),bool),i(s(fun(fun(cart(real,Q127738),bool),fun(cart(real,Q127738),bool)),span),s(fun(cart(real,Q127738),bool),S0)))))) ) ) )).++fof(aSPANu_EQu_INSERT,axiom,(+ ! [Q127771,S0,X] :+ ( s(fun(cart(real,Q127771),bool),i(s(fun(fun(cart(real,Q127771),bool),fun(cart(real,Q127771),bool)),span),s(fun(cart(real,Q127771),bool),i(s(fun(fun(cart(real,Q127771),bool),fun(cart(real,Q127771),bool)),i(s(fun(cart(real,Q127771),fun(fun(cart(real,Q127771),bool),fun(cart(real,Q127771),bool))),insert),s(cart(real,Q127771),X))),s(fun(cart(real,Q127771),bool),S0))))) = s(fun(cart(real,Q127771),bool),i(s(fun(fun(cart(real,Q127771),bool),fun(cart(real,Q127771),bool)),span),s(fun(cart(real,Q127771),bool),S0)))+ <=> p(s(bool,i(s(fun(fun(cart(real,Q127771),bool),bool),i(s(fun(cart(real,Q127771),fun(fun(cart(real,Q127771),bool),bool)),in),s(cart(real,Q127771),X))),s(fun(cart(real,Q127771),bool),i(s(fun(fun(cart(real,Q127771),bool),fun(cart(real,Q127771),bool)),span),s(fun(cart(real,Q127771),bool),S0)))))) ) )).++fof(aLINEARu_INDEPu_IMAGEu_LEMMA,axiom,(+ ! [N,M,F0,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),finite),s(fun(cart(real,M),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),B0))))))+ & ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),Y))),s(fun(cart(real,M),bool),B0))))+ & s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y))) )+ => s(cart(real,M),X) = s(cart(real,M),Y) ) )+ => ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),B0))))))+ => ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => s(cart(real,M),X) = s(cart(real,M),i(s(fun(num,cart(real,M)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) )).++fof(aLINEARu_INDEPENDENTu_EXTENDu_LEMMA,axiom,(+ ! [N,M,F0,B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),finite),s(fun(cart(real,M),bool),B0))))+ => ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),independent),s(fun(cart(real,M),bool),B0))))+ => ? [G0] :+ ( ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),B0))))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),Y))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),B0)))))) )+ => s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),G0),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(cart(real,M),fun(cart(real,M),cart(real,M))),vectoru_add),s(cart(real,M),X))),s(cart(real,M),Y))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),G0),s(cart(real,M),X))))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),G0),s(cart(real,M),Y))))) )+ & ! [X,C0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),B0))))))+ => s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),G0),s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(real,fun(cart(real,M),cart(real,M))),r_),s(real,C0))),s(cart(real,M),X))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),G0),s(cart(real,M),X))))) )+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),B0))))+ => s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),G0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) ) ) ) ) )).++fof(aLINEARu_INDEPENDENTu_EXTEND,axiom,(+ ! [N,M,F0,B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),independent),s(fun(cart(real,M),bool),B0))))+ => ? [G0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),G0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),B0))))+ => s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),G0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) ) ) ) )).++fof(aSUBSPACEu_KERNEL,axiom,(+ ! [Q128666,Q128687,U_0] :+ ( ! [F0,GENR_PVARR_321] :+ ( p(s(bool,i(s(fun(cart(real,Q128666),bool),i(s(fun(fun(cart(real,Q128666),cart(real,Q128687)),fun(cart(real,Q128666),bool)),U_0),s(fun(cart(real,Q128666),cart(real,Q128687)),F0))),s(cart(real,Q128666),GENR_PVARR_321))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(cart(real,Q128687),i(s(fun(cart(real,Q128666),cart(real,Q128687)),F0),s(cart(real,Q128666),X))) = s(cart(real,Q128687),i(s(fun(num,cart(real,Q128687)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,Q128666),bool),i(s(fun(bool,fun(cart(real,Q128666),bool)),i(s(fun(cart(real,Q128666),fun(bool,fun(cart(real,Q128666),bool))),setspec),s(cart(real,Q128666),GENR_PVARR_321))),s(bool,V))),s(cart(real,Q128666),X)))) ) )+ => ! [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q128666),cart(real,Q128687)),bool),linear),s(fun(cart(real,Q128666),cart(real,Q128687)),F0))))+ => p(s(bool,i(s(fun(fun(cart(real,Q128666),bool),bool),subspace),s(fun(cart(real,Q128666),bool),i(s(fun(fun(cart(real,Q128666),bool),fun(cart(real,Q128666),bool)),gspec),s(fun(cart(real,Q128666),bool),i(s(fun(fun(cart(real,Q128666),cart(real,Q128687)),fun(cart(real,Q128666),bool)),U_0),s(fun(cart(real,Q128666),cart(real,Q128687)),F0)))))))) ) ) )).++fof(aLINEARu_EQu_0u_SPAN,axiom,(+ ! [M,N,F0,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),B0))))+ => s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ => ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),B0))))))+ => s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aLINEARu_EQu_0,axiom,(+ ! [Q128763,Q128793,F0,B0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q128763),cart(real,Q128793)),bool),linear),s(fun(cart(real,Q128763),cart(real,Q128793)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q128763),bool),bool),i(s(fun(fun(cart(real,Q128763),bool),fun(fun(cart(real,Q128763),bool),bool)),subset),s(fun(cart(real,Q128763),bool),S0))),s(fun(cart(real,Q128763),bool),i(s(fun(fun(cart(real,Q128763),bool),fun(cart(real,Q128763),bool)),span),s(fun(cart(real,Q128763),bool),B0))))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q128763),bool),bool),i(s(fun(cart(real,Q128763),fun(fun(cart(real,Q128763),bool),bool)),in),s(cart(real,Q128763),X))),s(fun(cart(real,Q128763),bool),B0))))+ => s(cart(real,Q128793),i(s(fun(cart(real,Q128763),cart(real,Q128793)),F0),s(cart(real,Q128763),X))) = s(cart(real,Q128793),i(s(fun(num,cart(real,Q128793)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ => ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q128763),bool),bool),i(s(fun(cart(real,Q128763),fun(fun(cart(real,Q128763),bool),bool)),in),s(cart(real,Q128763),X))),s(fun(cart(real,Q128763),bool),S0))))+ => s(cart(real,Q128793),i(s(fun(cart(real,Q128763),cart(real,Q128793)),F0),s(cart(real,Q128763),X))) = s(cart(real,Q128793),i(s(fun(num,cart(real,Q128793)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aLINEARu_EQ,axiom,(+ ! [Q128822,Q128829,F0,G0,B0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q128829),cart(real,Q128822)),bool),linear),s(fun(cart(real,Q128829),cart(real,Q128822)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q128829),cart(real,Q128822)),bool),linear),s(fun(cart(real,Q128829),cart(real,Q128822)),G0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q128829),bool),bool),i(s(fun(fun(cart(real,Q128829),bool),fun(fun(cart(real,Q128829),bool),bool)),subset),s(fun(cart(real,Q128829),bool),S0))),s(fun(cart(real,Q128829),bool),i(s(fun(fun(cart(real,Q128829),bool),fun(cart(real,Q128829),bool)),span),s(fun(cart(real,Q128829),bool),B0))))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q128829),bool),bool),i(s(fun(cart(real,Q128829),fun(fun(cart(real,Q128829),bool),bool)),in),s(cart(real,Q128829),X))),s(fun(cart(real,Q128829),bool),B0))))+ => s(cart(real,Q128822),i(s(fun(cart(real,Q128829),cart(real,Q128822)),F0),s(cart(real,Q128829),X))) = s(cart(real,Q128822),i(s(fun(cart(real,Q128829),cart(real,Q128822)),G0),s(cart(real,Q128829),X))) ) )+ => ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q128829),bool),bool),i(s(fun(cart(real,Q128829),fun(fun(cart(real,Q128829),bool),bool)),in),s(cart(real,Q128829),X))),s(fun(cart(real,Q128829),bool),S0))))+ => s(cart(real,Q128822),i(s(fun(cart(real,Q128829),cart(real,Q128822)),F0),s(cart(real,Q128829),X))) = s(cart(real,Q128822),i(s(fun(cart(real,Q128829),cart(real,Q128822)),G0),s(cart(real,Q128829),X))) ) ) )).++fof(aLINEARu_EQu_STDBASIS,axiom,(+ ! [M,N,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),G0))))+ & ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ)))))) )+ => s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),i(s(fun(num,cart(real,M)),basis),s(num,I0))))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),G0),s(cart(real,M),i(s(fun(num,cart(real,M)),basis),s(num,I0))))) ) )+ => s(fun(cart(real,M),cart(real,N)),F0) = s(fun(cart(real,M),cart(real,N)),G0) ) )).++fof(aBILINEARu_EQ,axiom,(+ ! [P,M,N,F0,G0,B0,C0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),bool),bilinear),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),bool),bilinear),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),G0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(fun(cart(real,M),bool),fun(fun(cart(real,M),bool),bool)),subset),s(fun(cart(real,M),bool),S0))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),B0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),t0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),C0))))))+ & ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),C0)))) )+ => s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),F0),s(cart(real,M),X))),s(cart(real,N),Y))) = s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),G0),s(cart(real,M),X))),s(cart(real,N),Y))) ) )+ => ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),t0)))) )+ => s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),F0),s(cart(real,M),X))),s(cart(real,N),Y))) = s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),G0),s(cart(real,M),X))),s(cart(real,N),Y))) ) ) )).++fof(aBILINEARu_EQu_STDBASIS,axiom,(+ ! [M,N,P,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),bool),bilinear),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),fun(cart(real,N),cart(real,P))),bool),bilinear),s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),G0))))+ & ! [I0,J0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,J0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,J0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),F0),s(cart(real,M),i(s(fun(num,cart(real,M)),basis),s(num,I0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,J0))))) = s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),i(s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),G0),s(cart(real,M),i(s(fun(num,cart(real,M)),basis),s(num,I0))))),s(cart(real,N),i(s(fun(num,cart(real,N)),basis),s(num,J0))))) ) )+ => s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),F0) = s(fun(cart(real,M),fun(cart(real,N),cart(real,P))),G0) ) )).++fof(aLEFTu_INVERTIBLEu_TRANSP,axiom,(+ ! [N,M,A5] :+ ( ? [B0] : s(cart(cart(real,M),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),cart(cart(real,M),M))),matrixu_mul),s(cart(cart(real,N),M),B0))),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))) = s(cart(cart(real,M),M),i(s(fun(num,cart(cart(real,M),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> ? [B0] : s(cart(cart(real,M),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),cart(cart(real,M),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,M),N),B0))) = s(cart(cart(real,M),M),i(s(fun(num,cart(cart(real,M),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )).++fof(aRIGHTu_INVERTIBLEu_TRANSP,axiom,(+ ! [M,N,A5] :+ ( ? [B0] : s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,N),M),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,M),N)),transp),s(cart(cart(real,N),M),A5))))),s(cart(cart(real,N),M),B0))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> ? [B0] : s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,N),M),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,M),N),B0))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )).++fof(aLINEARu_INJECTIVEu_LEFTu_INVERSE,axiom,(+ ! [N,M,F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) ) )+ => ? [G0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),G0))))+ & s(fun(cart(real,M),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,M))),i(s(fun(fun(cart(real,N),cart(real,M)),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,M)))),o),s(fun(cart(real,N),cart(real,M)),G0))),s(fun(cart(real,M),cart(real,N)),F0))) = s(fun(cart(real,M),cart(real,M)),i1) ) ) )).++fof(aLINEARu_SURJECTIVEu_RIGHTu_INVERSE,axiom,(+ ! [M,N,F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [Y] :+ ? [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),Y) )+ => ? [G0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),G0))))+ & s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,M)),fun(cart(real,N),cart(real,N))),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,N),cart(real,M)),fun(cart(real,N),cart(real,N)))),o),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,N),cart(real,M)),G0))) = s(fun(cart(real,N),cart(real,N)),i1) ) ) )).++fof(aMATRIXu_LEFTu_INVERTIBLEu_INJECTIVE,axiom,(+ ! [M,N,A5] :+ ( ? [B0] : s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,N),M),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,M),N),B0))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> ! [X,Y] :+ ( s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))) = s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) ) ) )).++fof(aMATRIXu_LEFTu_INVERTIBLEu_KER,axiom,(+ ! [M,N,A5] :+ ( ? [B0] : s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,N),M),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,M),N),B0))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> ! [X] :+ ( s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))) = s(cart(real,M),i(s(fun(num,cart(real,M)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => s(cart(real,N),X) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aMATRIXu_RIGHTu_INVERTIBLEu_SURJECTIVE,axiom,(+ ! [N,M,A5] :+ ( ? [B0] : s(cart(cart(real,M),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),cart(cart(real,M),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,M),N),B0))) = s(cart(cart(real,M),M),i(s(fun(num,cart(cart(real,M),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> ! [Y] :+ ? [X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),X))) = s(cart(real,M),Y) ) )).++fof(aMATRIXu_LEFTu_INVERTIBLEu_INDEPENDENTu_COLUMNS,axiom,(+ ! [M,N,U_0] :+ ( ! [C0,A5,I0] : s(cart(real,M),i(s(fun(num,cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,M))),i(s(fun(fun(num,real),fun(cart(cart(real,N),M),fun(num,cart(real,M)))),U_0),s(fun(num,real),C0))),s(cart(cart(real,N),M),A5))),s(num,I0))) = s(cart(real,M),i(s(fun(cart(real,M),cart(real,M)),i(s(fun(real,fun(cart(real,M),cart(real,M))),r_),s(real,i(s(fun(num,real),C0),s(num,I0))))),s(cart(real,M),i(s(fun(cart(cart(real,N),M),cart(real,M)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,M))),column),s(num,I0))),s(cart(cart(real,N),M),A5)))))+ => ! [A5] :+ ( ? [B0] : s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,N),M),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,M),N),B0))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> ! [C0] :+ ( s(cart(real,M),i(s(fun(fun(num,cart(real,M)),cart(real,M)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,M)),cart(real,M))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(fun(num,cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,M))),i(s(fun(fun(num,real),fun(cart(cart(real,N),M),fun(num,cart(real,M)))),U_0),s(fun(num,real),C0))),s(cart(cart(real,N),M),A5))))) = s(cart(real,M),i(s(fun(num,cart(real,M)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(real,i(s(fun(num,real),C0),s(num,I0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) ) )).++fof(aMATRIXu_RIGHTu_INVERTIBLEu_INDEPENDENTu_ROWS,axiom,(+ ! [N,M,U_0] :+ ( ! [C0,A5,I0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),i(s(fun(fun(num,real),fun(cart(cart(real,N),M),fun(num,cart(real,N)))),U_0),s(fun(num,real),C0))),s(cart(cart(real,N),M),A5))),s(num,I0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(num,real),C0),s(num,I0))))),s(cart(real,N),i(s(fun(cart(cart(real,N),M),cart(real,N)),i(s(fun(num,fun(cart(cart(real,N),M),cart(real,N))),row),s(num,I0))),s(cart(cart(real,N),M),A5)))))+ => ! [A5] :+ ( ? [B0] : s(cart(cart(real,M),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),cart(cart(real,M),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,M),N),B0))) = s(cart(cart(real,M),M),i(s(fun(num,cart(cart(real,M),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> ! [C0] :+ ( s(cart(real,N),i(s(fun(fun(num,cart(real,N)),cart(real,N)),i(s(fun(fun(num,bool),fun(fun(num,cart(real,N)),cart(real,N))),vsum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))))))),s(fun(num,cart(real,N)),i(s(fun(cart(cart(real,N),M),fun(num,cart(real,N))),i(s(fun(fun(num,real),fun(cart(cart(real,N),M),fun(num,cart(real,N)))),U_0),s(fun(num,real),C0))),s(cart(cart(real,N),M),A5))))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => ! [I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ)))))) )+ => s(real,i(s(fun(num,real),C0),s(num,I0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) ) )).++fof(aMATRIXu_RIGHTu_INVERTIBLEu_SPANu_COLUMNS,axiom,(+ ! [N,M,A5] :+ ( ? [B0] : s(cart(cart(real,M),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),cart(cart(real,M),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,M),N),B0))) = s(cart(cart(real,M),M),i(s(fun(num,cart(cart(real,M),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,M),bool)),columns),s(cart(cart(real,N),M),A5))))) = s(fun(cart(real,M),bool),univ) ) )).++fof(aMATRIXu_LEFTu_INVERTIBLEu_SPANu_ROWS,axiom,(+ ! [M,N,A5] :+ ( ? [B0] : s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,N),M),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,M),N),B0))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),bool)),rows),s(cart(cart(real,N),M),A5))))) = s(fun(cart(real,N),bool),univ) ) )).++fof(aLINEARu_INJECTIVEu_IMPu_SURJECTIVE,axiom,(+ ! [N,F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) ) )+ => ! [Y] :+ ? [X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),Y) ) )).++fof(aLINEARu_SURJECTIVEu_IMPu_INJECTIVE,axiom,(+ ! [N,F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ & ! [Y] :+ ? [X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),Y) )+ => ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) ) ) )).++fof(aLINEARu_SURJECTIVEu_IFFu_INJECTIVE,axiom,(+ ! [N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ => ( ! [Y] :+ ? [X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),Y)+ <=> ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) ) ) ) )).++fof(aLEFTu_RIGHTu_INVERSEu_EQ,axiom,(+ ! [A,F0,G0,H0] :+ ( ( s(fun(A,A),i(s(fun(fun(A,A),fun(A,A)),i(s(fun(fun(A,A),fun(fun(A,A),fun(A,A))),o),s(fun(A,A),F0))),s(fun(A,A),G0))) = s(fun(A,A),i1)+ & s(fun(A,A),i(s(fun(fun(A,A),fun(A,A)),i(s(fun(fun(A,A),fun(fun(A,A),fun(A,A))),o),s(fun(A,A),G0))),s(fun(A,A),H0))) = s(fun(A,A),i1) )+ => s(fun(A,A),F0) = s(fun(A,A),H0) ) )).++fof(aISOMORPHISMu_EXPAND,axiom,(+ ! [Q130465,Q130466,F0,G0] :+ ( ( s(fun(Q130465,Q130465),i(s(fun(fun(Q130465,Q130466),fun(Q130465,Q130465)),i(s(fun(fun(Q130466,Q130465),fun(fun(Q130465,Q130466),fun(Q130465,Q130465))),o),s(fun(Q130466,Q130465),F0))),s(fun(Q130465,Q130466),G0))) = s(fun(Q130465,Q130465),i1)+ & s(fun(Q130466,Q130466),i(s(fun(fun(Q130466,Q130465),fun(Q130466,Q130466)),i(s(fun(fun(Q130465,Q130466),fun(fun(Q130466,Q130465),fun(Q130466,Q130466))),o),s(fun(Q130465,Q130466),G0))),s(fun(Q130466,Q130465),F0))) = s(fun(Q130466,Q130466),i1) )+ <=> ( ! [X] : s(Q130465,i(s(fun(Q130466,Q130465),F0),s(Q130466,i(s(fun(Q130465,Q130466),G0),s(Q130465,X))))) = s(Q130465,X)+ & ! [X] : s(Q130466,i(s(fun(Q130465,Q130466),G0),s(Q130465,i(s(fun(Q130466,Q130465),F0),s(Q130466,X))))) = s(Q130466,X) ) ) )).++fof(aLINEARu_INJECTIVEu_ISOMORPHISM,axiom,(+ ! [N,F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) ) )+ => ? [FI_] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),FI_))))+ & ! [X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),FI_),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))))) = s(cart(real,N),X)+ & ! [X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),FI_),s(cart(real,N),X))))) = s(cart(real,N),X) ) ) )).++fof(aLINEARu_SURJECTIVEu_ISOMORPHISM,axiom,(+ ! [N,F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ & ! [Y] :+ ? [X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),Y) )+ => ? [FI_] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),FI_))))+ & ! [X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),FI_),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))))) = s(cart(real,N),X)+ & ! [X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),FI_),s(cart(real,N),X))))) = s(cart(real,N),X) ) ) )).++fof(aLINEARu_INVERSEu_LEFT,axiom,(+ ! [N,F0,FI_] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),FI_)))) )+ => ( s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N))),i(s(fun(fun(cart(real,N),cart(real,N)),fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N)))),o),s(fun(cart(real,N),cart(real,N)),F0))),s(fun(cart(real,N),cart(real,N)),FI_))) = s(fun(cart(real,N),cart(real,N)),i1)+ <=> s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N))),i(s(fun(fun(cart(real,N),cart(real,N)),fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N)))),o),s(fun(cart(real,N),cart(real,N)),FI_))),s(fun(cart(real,N),cart(real,N)),F0))) = s(fun(cart(real,N),cart(real,N)),i1) ) ) )).++fof(aLEFTu_INVERSEu_LINEAR,axiom,(+ ! [N,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ & s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N))),i(s(fun(fun(cart(real,N),cart(real,N)),fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N)))),o),s(fun(cart(real,N),cart(real,N)),G0))),s(fun(cart(real,N),cart(real,N)),F0))) = s(fun(cart(real,N),cart(real,N)),i1) )+ => p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),G0)))) ) )).++fof(aRIGHTu_INVERSEu_LINEAR,axiom,(+ ! [N,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ & s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N))),i(s(fun(fun(cart(real,N),cart(real,N)),fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N)))),o),s(fun(cart(real,N),cart(real,N)),F0))),s(fun(cart(real,N),cart(real,N)),G0))) = s(fun(cart(real,N),cart(real,N)),i1) )+ => p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),G0)))) ) )).++fof(aLEFTu_RIGHTu_INVERSEu_LINEAR,axiom,(+ ! [M,N,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),F0))))+ & s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,M)),fun(cart(real,N),cart(real,N))),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,N),cart(real,M)),fun(cart(real,N),cart(real,N)))),o),s(fun(cart(real,M),cart(real,N)),G0))),s(fun(cart(real,N),cart(real,M)),F0))) = s(fun(cart(real,N),cart(real,N)),i1)+ & s(fun(cart(real,M),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,M))),i(s(fun(fun(cart(real,N),cart(real,M)),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,M)))),o),s(fun(cart(real,N),cart(real,M)),F0))),s(fun(cart(real,M),cart(real,N)),G0))) = s(fun(cart(real,M),cart(real,M)),i1) )+ => p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),G0)))) ) )).++fof(aLINEARu_BIJECTIVEu_LEFTu_RIGHTu_INVERSE,axiom,(+ ! [M,N,F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) )+ & ! [Y] :+ ? [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),Y) )+ => ? [G0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),G0))))+ & ! [X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),G0),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) = s(cart(real,M),X)+ & ! [Y] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),G0),s(cart(real,N),Y))))) = s(cart(real,N),Y) ) ) )).++fof(aMATRIXu_LEFTu_RIGHTu_INVERSE,axiom,(+ ! [N,A5,AI_] :+ ( s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),N),cart(cart(real,N),N)),i(s(fun(cart(cart(real,N),N),fun(cart(cart(real,N),N),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,N),N),A5))),s(cart(cart(real,N),N),AI_))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),N),cart(cart(real,N),N)),i(s(fun(cart(cart(real,N),N),fun(cart(cart(real,N),N),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,N),N),AI_))),s(cart(cart(real,N),N),A5))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )).++fof(aMATRIXu_LEFTu_INVERTIBLE,axiom,(+ ! [N,M,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ( ? [B0] : s(cart(cart(real,M),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),cart(cart(real,M),M))),matrixu_mul),s(cart(cart(real,N),M),B0))),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))) = s(cart(cart(real,M),M),i(s(fun(num,cart(cart(real,M),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> ? [G0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),G0))))+ & s(fun(cart(real,M),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,M))),i(s(fun(fun(cart(real,N),cart(real,M)),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,M)))),o),s(fun(cart(real,N),cart(real,M)),G0))),s(fun(cart(real,M),cart(real,N)),F0))) = s(fun(cart(real,M),cart(real,M)),i1) ) ) ) )).++fof(aMATRIXu_RIGHTu_INVERTIBLE,axiom,(+ ! [M,N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ( ? [B0] : s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,N),M),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,M),N),i(s(fun(fun(cart(real,M),cart(real,N)),cart(cart(real,M),N)),matrix),s(fun(cart(real,M),cart(real,N)),F0))))),s(cart(cart(real,N),M),B0))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ <=> ? [G0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),G0))))+ & s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,M)),fun(cart(real,N),cart(real,N))),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,N),cart(real,M)),fun(cart(real,N),cart(real,N)))),o),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,N),cart(real,M)),G0))) = s(fun(cart(real,N),cart(real,N)),i1) ) ) ) )).++fof(aINVERTIBLEu_LEFTu_INVERSE,axiom,(+ ! [N,A5] :+ ( p(s(bool,i(s(fun(cart(cart(real,N),N),bool),invertible),s(cart(cart(real,N),N),A5))))+ <=> ? [B0] : s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),N),cart(cart(real,N),N)),i(s(fun(cart(cart(real,N),N),fun(cart(cart(real,N),N),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,N),N),B0))),s(cart(cart(real,N),N),A5))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )).++fof(aINVERTIBLEu_RIGHTu_INVERSE,axiom,(+ ! [N,A5] :+ ( p(s(bool,i(s(fun(cart(cart(real,N),N),bool),invertible),s(cart(cart(real,N),N),A5))))+ <=> ? [B0] : s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),N),cart(cart(real,N),N)),i(s(fun(cart(cart(real,N),N),fun(cart(cart(real,N),N),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,N),N),A5))),s(cart(cart(real,N),N),B0))) = s(cart(cart(real,N),N),i(s(fun(num,cart(cart(real,N),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )).++fof(aMATRIXu_INVERTIBLE,axiom,(+ ! [N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ => ( p(s(bool,i(s(fun(cart(cart(real,N),N),bool),invertible),s(cart(cart(real,N),N),i(s(fun(fun(cart(real,N),cart(real,N)),cart(cart(real,N),N)),matrix),s(fun(cart(real,N),cart(real,N)),F0))))))+ <=> ? [G0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),G0))))+ & s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N))),i(s(fun(fun(cart(real,N),cart(real,N)),fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N)))),o),s(fun(cart(real,N),cart(real,N)),F0))),s(fun(cart(real,N),cart(real,N)),G0))) = s(fun(cart(real,N),cart(real,N)),i1)+ & s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N))),i(s(fun(fun(cart(real,N),cart(real,N)),fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N)))),o),s(fun(cart(real,N),cart(real,N)),G0))),s(fun(cart(real,N),cart(real,N)),F0))) = s(fun(cart(real,N),cart(real,N)),i1) ) ) ) )).++fof(aLINEARu_INVERTIBLEu_BOUNDEDu_BELOWu_POS,axiom,(+ ! [N,M,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),G0))))+ & s(fun(cart(real,M),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,M))),i(s(fun(fun(cart(real,N),cart(real,M)),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,M)))),o),s(fun(cart(real,N),cart(real,M)),G0))),s(fun(cart(real,M),cart(real,N)),F0))) = s(fun(cart(real,M),cart(real,M)),i1) )+ => ? [B0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,B0))))+ & ! [X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,B0))),s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X)))))))) ) ) )).++fof(aLINEARu_INVERTIBLEu_BOUNDEDu_BELOW,axiom,(+ ! [N,M,F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),G0))))+ & s(fun(cart(real,M),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,M))),i(s(fun(fun(cart(real,N),cart(real,M)),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,M)))),o),s(fun(cart(real,N),cart(real,M)),G0))),s(fun(cart(real,M),cart(real,N)),F0))) = s(fun(cart(real,M),cart(real,M)),i1) )+ => ? [B0] :+ ! [X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,B0))),s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X)))))))) ) )).++fof(aLINEARu_INJECTIVEu_BOUNDEDu_BELOWu_POS,axiom,(+ ! [N,M,F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) ) )+ => ? [B0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,B0))))+ & ! [X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))))),s(real,B0))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X)))))))) ) ) )).++fof(aDIMu_INJECTIVEu_LINEARu_IMAGE,axiom,(+ ! [N,M,F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) ) )+ => s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0))))) = s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),S0))) ) )).++fof(arowvector,axiom,(+ ! [N,U_1] :+ ( ! [V,J0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),U_1),s(cart(real,N),V))),s(num,J0))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),V))),s(num,J0)))+ => ! [U_0] :+ ( ! [V,I0] : s(cart(real,N),i(s(fun(num,cart(real,N)),i(s(fun(cart(real,N),fun(num,cart(real,N))),U_0),s(cart(real,N),V))),s(num,I0))) = s(cart(real,N),i(s(fun(fun(num,real),cart(real,N)),lambda),s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),U_1),s(cart(real,N),V)))))+ => ! [V] : s(cart(cart(real,N),n10),i(s(fun(cart(real,N),cart(cart(real,N),n10)),rowvector),s(cart(real,N),V))) = s(cart(cart(real,N),n10),i(s(fun(fun(num,cart(real,N)),cart(cart(real,N),n10)),lambda),s(fun(num,cart(real,N)),i(s(fun(cart(real,N),fun(num,cart(real,N))),U_0),s(cart(real,N),V))))) ) ) )).++fof(acolumnvector,axiom,(+ ! [N,U_1] :+ ( ! [V,I0,J0] : s(real,i(s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(real,N),fun(num,fun(num,real))),U_1),s(cart(real,N),V))),s(num,I0))),s(num,J0))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),V))),s(num,I0)))+ => ! [U_0] :+ ( ! [V,I0] : s(cart(real,n10),i(s(fun(num,cart(real,n10)),i(s(fun(cart(real,N),fun(num,cart(real,n10))),U_0),s(cart(real,N),V))),s(num,I0))) = s(cart(real,n10),i(s(fun(fun(num,real),cart(real,n10)),lambda),s(fun(num,real),i(s(fun(num,fun(num,real)),i(s(fun(cart(real,N),fun(num,fun(num,real))),U_1),s(cart(real,N),V))),s(num,I0)))))+ => ! [V] : s(cart(cart(real,n10),N),i(s(fun(cart(real,N),cart(cart(real,n10),N)),columnvector),s(cart(real,N),V))) = s(cart(cart(real,n10),N),i(s(fun(fun(num,cart(real,n10)),cart(cart(real,n10),N)),lambda),s(fun(num,cart(real,n10)),i(s(fun(cart(real,N),fun(num,cart(real,n10))),U_0),s(cart(real,N),V))))) ) ) )).++fof(aTRANSPu_COLUMNVECTOR,axiom,(+ ! [Q131708,V] : s(cart(cart(real,Q131708),n10),i(s(fun(cart(cart(real,n10),Q131708),cart(cart(real,Q131708),n10)),transp),s(cart(cart(real,n10),Q131708),i(s(fun(cart(real,Q131708),cart(cart(real,n10),Q131708)),columnvector),s(cart(real,Q131708),V))))) = s(cart(cart(real,Q131708),n10),i(s(fun(cart(real,Q131708),cart(cart(real,Q131708),n10)),rowvector),s(cart(real,Q131708),V))) )).++fof(aTRANSPu_ROWVECTOR,axiom,(+ ! [Q131723,V] : s(cart(cart(real,n10),Q131723),i(s(fun(cart(cart(real,Q131723),n10),cart(cart(real,n10),Q131723)),transp),s(cart(cart(real,Q131723),n10),i(s(fun(cart(real,Q131723),cart(cart(real,Q131723),n10)),rowvector),s(cart(real,Q131723),V))))) = s(cart(cart(real,n10),Q131723),i(s(fun(cart(real,Q131723),cart(cart(real,n10),Q131723)),columnvector),s(cart(real,Q131723),V))) )).++fof(aDOTu_ROWVECTORu_COLUMNVECTOR,axiom,(+ ! [M,N,A5,V] : s(cart(cart(real,n10),M),i(s(fun(cart(real,M),cart(cart(real,n10),M)),columnvector),s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(cart(cart(real,N),M),fun(cart(real,N),cart(real,M))),matrixu_vectoru_mul),s(cart(cart(real,N),M),A5))),s(cart(real,N),V))))) = s(cart(cart(real,n10),M),i(s(fun(cart(cart(real,n10),N),cart(cart(real,n10),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,n10),N),cart(cart(real,n10),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,n10),N),i(s(fun(cart(real,N),cart(cart(real,n10),N)),columnvector),s(cart(real,N),V))))) )).++fof(aDOTu_MATRIXu_PRODUCT,axiom,(+ ! [N,X,Y] : s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),Y))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(num,cart(real,n10)),i(s(fun(cart(cart(real,n10),n10),fun(num,cart(real,n10))),d_),s(cart(cart(real,n10),n10),i(s(fun(cart(cart(real,n10),N),cart(cart(real,n10),n10)),i(s(fun(cart(cart(real,N),n10),fun(cart(cart(real,n10),N),cart(cart(real,n10),n10))),matrixu_mul),s(cart(cart(real,N),n10),i(s(fun(cart(real,N),cart(cart(real,N),n10)),rowvector),s(cart(real,N),X))))),s(cart(cart(real,n10),N),i(s(fun(cart(real,N),cart(cart(real,n10),N)),columnvector),s(cart(real,N),Y))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )).++fof(aDOTu_MATRIXu_VECTORu_MUL,axiom,(+ ! [N,A5,B0,X,Y] : s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(cart(real,N),N),fun(cart(real,N),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,N),N),A5))),s(cart(real,N),X))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(cart(real,N),N),fun(cart(real,N),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,N),N),B0))),s(cart(real,N),Y))))) = s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),i(s(fun(num,cart(real,n10)),i(s(fun(cart(cart(real,n10),n10),fun(num,cart(real,n10))),d_),s(cart(cart(real,n10),n10),i(s(fun(cart(cart(real,n10),N),cart(cart(real,n10),n10)),i(s(fun(cart(cart(real,N),n10),fun(cart(cart(real,n10),N),cart(cart(real,n10),n10))),matrixu_mul),s(cart(cart(real,N),n10),i(s(fun(cart(real,N),cart(cart(real,N),n10)),rowvector),s(cart(real,N),X))))),s(cart(cart(real,n10),N),i(s(fun(cart(cart(real,n10),N),cart(cart(real,n10),N)),i(s(fun(cart(cart(real,N),N),fun(cart(cart(real,n10),N),cart(cart(real,n10),N))),matrixu_mul),s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),N),cart(cart(real,N),N)),i(s(fun(cart(cart(real,N),N),fun(cart(cart(real,N),N),cart(cart(real,N),N))),matrixu_mul),s(cart(cart(real,N),N),i(s(fun(cart(cart(real,N),N),cart(cart(real,N),N)),transp),s(cart(cart(real,N),N),A5))))),s(cart(cart(real,N),N),B0))))),s(cart(cart(real,n10),N),i(s(fun(cart(real,N),cart(cart(real,n10),N)),columnvector),s(cart(real,N),Y))))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )).++fof(aMATRIXu_VECTORu_MULu_INu_COLUMNSPACE,axiom,(+ ! [M,N,A5,X] : p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,N),bool)),columns),s(cart(cart(real,M),N),A5)))))))) )).++fof(aSUBSPACEu_ORTHOGONALu_TOu_VECTOR,axiom,(+ ! [Q131992,U_0] :+ ( ! [X,GENR_PVARR_327] :+ ( p(s(bool,i(s(fun(cart(real,Q131992),bool),i(s(fun(cart(real,Q131992),fun(cart(real,Q131992),bool)),U_0),s(cart(real,Q131992),X))),s(cart(real,Q131992),GENR_PVARR_327))))+ <=> ? [Y] : p(s(bool,i(s(fun(cart(real,Q131992),bool),i(s(fun(bool,fun(cart(real,Q131992),bool)),i(s(fun(cart(real,Q131992),fun(bool,fun(cart(real,Q131992),bool))),setspec),s(cart(real,Q131992),GENR_PVARR_327))),s(bool,i(s(fun(cart(real,Q131992),bool),i(s(fun(cart(real,Q131992),fun(cart(real,Q131992),bool)),orthogonal),s(cart(real,Q131992),X))),s(cart(real,Q131992),Y))))),s(cart(real,Q131992),Y)))) )+ => ! [X] : p(s(bool,i(s(fun(fun(cart(real,Q131992),bool),bool),subspace),s(fun(cart(real,Q131992),bool),i(s(fun(fun(cart(real,Q131992),bool),fun(cart(real,Q131992),bool)),gspec),s(fun(cart(real,Q131992),bool),i(s(fun(cart(real,Q131992),fun(cart(real,Q131992),bool)),U_0),s(cart(real,Q131992),X)))))))) ) )).++fof(aSUBSPACEu_ORTHOGONALu_TOu_VECTORS,axiom,(+ ! [Q132023,U_0] :+ ( ! [S0,GENR_PVARR_328] :+ ( p(s(bool,i(s(fun(cart(real,Q132023),bool),i(s(fun(fun(cart(real,Q132023),bool),fun(cart(real,Q132023),bool)),U_0),s(fun(cart(real,Q132023),bool),S0))),s(cart(real,Q132023),GENR_PVARR_328))))+ <=> ? [Y,V] :+ ( ( p(s(bool,V))+ <=> ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q132023),bool),bool),i(s(fun(cart(real,Q132023),fun(fun(cart(real,Q132023),bool),bool)),in),s(cart(real,Q132023),X))),s(fun(cart(real,Q132023),bool),S0))))+ => p(s(bool,i(s(fun(cart(real,Q132023),bool),i(s(fun(cart(real,Q132023),fun(cart(real,Q132023),bool)),orthogonal),s(cart(real,Q132023),X))),s(cart(real,Q132023),Y)))) ) )+ & p(s(bool,i(s(fun(cart(real,Q132023),bool),i(s(fun(bool,fun(cart(real,Q132023),bool)),i(s(fun(cart(real,Q132023),fun(bool,fun(cart(real,Q132023),bool))),setspec),s(cart(real,Q132023),GENR_PVARR_328))),s(bool,V))),s(cart(real,Q132023),Y)))) ) )+ => ! [S0] : p(s(bool,i(s(fun(fun(cart(real,Q132023),bool),bool),subspace),s(fun(cart(real,Q132023),bool),i(s(fun(fun(cart(real,Q132023),bool),fun(cart(real,Q132023),bool)),gspec),s(fun(cart(real,Q132023),bool),i(s(fun(fun(cart(real,Q132023),bool),fun(cart(real,Q132023),bool)),U_0),s(fun(cart(real,Q132023),bool),S0)))))))) ) )).++fof(aORTHOGONALu_TOu_SPAN,axiom,(+ ! [Q132081,S0,X] :+ ( ! [Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q132081),bool),bool),i(s(fun(cart(real,Q132081),fun(fun(cart(real,Q132081),bool),bool)),in),s(cart(real,Q132081),Y))),s(fun(cart(real,Q132081),bool),S0))))+ => p(s(bool,i(s(fun(cart(real,Q132081),bool),i(s(fun(cart(real,Q132081),fun(cart(real,Q132081),bool)),orthogonal),s(cart(real,Q132081),X))),s(cart(real,Q132081),Y)))) )+ => ! [Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q132081),bool),bool),i(s(fun(cart(real,Q132081),fun(fun(cart(real,Q132081),bool),bool)),in),s(cart(real,Q132081),Y))),s(fun(cart(real,Q132081),bool),i(s(fun(fun(cart(real,Q132081),bool),fun(cart(real,Q132081),bool)),span),s(fun(cart(real,Q132081),bool),S0))))))+ => p(s(bool,i(s(fun(cart(real,Q132081),bool),i(s(fun(cart(real,Q132081),fun(cart(real,Q132081),bool)),orthogonal),s(cart(real,Q132081),X))),s(cart(real,Q132081),Y)))) ) ) )).++fof(aORTHOGONALu_TOu_SPANu_EQ,axiom,(+ ! [Q132106,S0,X] :+ ( ! [Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q132106),bool),bool),i(s(fun(cart(real,Q132106),fun(fun(cart(real,Q132106),bool),bool)),in),s(cart(real,Q132106),Y))),s(fun(cart(real,Q132106),bool),i(s(fun(fun(cart(real,Q132106),bool),fun(cart(real,Q132106),bool)),span),s(fun(cart(real,Q132106),bool),S0))))))+ => p(s(bool,i(s(fun(cart(real,Q132106),bool),i(s(fun(cart(real,Q132106),fun(cart(real,Q132106),bool)),orthogonal),s(cart(real,Q132106),X))),s(cart(real,Q132106),Y)))) )+ <=> ! [Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q132106),bool),bool),i(s(fun(cart(real,Q132106),fun(fun(cart(real,Q132106),bool),bool)),in),s(cart(real,Q132106),Y))),s(fun(cart(real,Q132106),bool),S0))))+ => p(s(bool,i(s(fun(cart(real,Q132106),bool),i(s(fun(cart(real,Q132106),fun(cart(real,Q132106),bool)),orthogonal),s(cart(real,Q132106),X))),s(cart(real,Q132106),Y)))) ) ) )).++fof(aORTHOGONALu_TOu_SPANSu_EQ,axiom,(+ ! [Q132154,S0,T0] :+ ( ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q132154),bool),bool),i(s(fun(cart(real,Q132154),fun(fun(cart(real,Q132154),bool),bool)),in),s(cart(real,Q132154),X))),s(fun(cart(real,Q132154),bool),i(s(fun(fun(cart(real,Q132154),bool),fun(cart(real,Q132154),bool)),span),s(fun(cart(real,Q132154),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,Q132154),bool),bool),i(s(fun(cart(real,Q132154),fun(fun(cart(real,Q132154),bool),bool)),in),s(cart(real,Q132154),Y))),s(fun(cart(real,Q132154),bool),i(s(fun(fun(cart(real,Q132154),bool),fun(cart(real,Q132154),bool)),span),s(fun(cart(real,Q132154),bool),T0)))))) )+ => p(s(bool,i(s(fun(cart(real,Q132154),bool),i(s(fun(cart(real,Q132154),fun(cart(real,Q132154),bool)),orthogonal),s(cart(real,Q132154),X))),s(cart(real,Q132154),Y)))) )+ <=> ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q132154),bool),bool),i(s(fun(cart(real,Q132154),fun(fun(cart(real,Q132154),bool),bool)),in),s(cart(real,Q132154),X))),s(fun(cart(real,Q132154),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q132154),bool),bool),i(s(fun(cart(real,Q132154),fun(fun(cart(real,Q132154),bool),bool)),in),s(cart(real,Q132154),Y))),s(fun(cart(real,Q132154),bool),T0)))) )+ => p(s(bool,i(s(fun(cart(real,Q132154),bool),i(s(fun(cart(real,Q132154),fun(cart(real,Q132154),bool)),orthogonal),s(cart(real,Q132154),X))),s(cart(real,Q132154),Y)))) ) ) )).++fof(aORTHOGONALu_NULLSPACEu_ROWSPACE,axiom,(+ ! [N,M,A5,X,Y] :+ ( ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),Y))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),bool)),rows),s(cart(cart(real,M),N),A5)))))))) )+ => p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(cart(real,M),fun(cart(real,M),bool)),orthogonal),s(cart(real,M),X))),s(cart(real,M),Y)))) ) )).++fof(aNULLSPACEu_INTERu_ROWSPACE,axiom,(+ ! [N,M,A5,X] :+ ( ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),bool)),rows),s(cart(cart(real,M),N),A5)))))))) )+ <=> s(cart(real,M),X) = s(cart(real,M),i(s(fun(num,cart(real,M)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aMATRIXu_VECTORu_MULu_INJECTIVEu_ONu_ROWSPACE,axiom,(+ ! [N,M,A5,X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),bool)),rows),s(cart(cart(real,M),N),A5))))))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),Y))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),span),s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),bool)),rows),s(cart(cart(real,M),N),A5))))))))+ & s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),Y))) )+ => s(cart(real,M),X) = s(cart(real,M),Y) ) )).++fof(aDIMu_ROWSu_LEu_DIMu_COLUMNS,axiom,(+ ! [M,N,A5] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),bool)),rows),s(cart(cart(real,M),N),A5))))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,N),bool)),columns),s(cart(cart(real,M),N),A5)))))))) )).++fof(arank,axiom,(+ ! [M,N,A5] : s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) = s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,N),bool)),columns),s(cart(cart(real,M),N),A5))))) )).++fof(aRANKu_ROW,axiom,(+ ! [M,N,A5] : s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) = s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),bool)),rows),s(cart(cart(real,M),N),A5))))) )).++fof(aRANKu_TRANSP,axiom,(+ ! [M,N,A5] : s(num,i(s(fun(cart(cart(real,N),M),num),rank),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,N),M)),transp),s(cart(cart(real,M),N),A5))))) = s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) )).++fof(aMATRIXu_VECTORu_MULu_BASIS,axiom,(+ ! [M,N,A5,K0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,K0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,K0))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ)))))) )+ => s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),i(s(fun(num,cart(real,M)),basis),s(num,K0))))) = s(cart(real,N),i(s(fun(cart(cart(real,M),N),cart(real,N)),i(s(fun(num,fun(cart(cart(real,M),N),cart(real,N))),column),s(num,K0))),s(cart(cart(real,M),N),A5))) ) )).++fof(aCOLUMNSu_IMAGEu_BASIS,axiom,(+ ! [N,M,U_1] :+ ( ! [GENR_PVARR_331] :+ ( p(s(bool,i(s(fun(cart(real,M),bool),U_1),s(cart(real,M),GENR_PVARR_331))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(bool,fun(cart(real,M),bool)),i(s(fun(cart(real,M),fun(bool,fun(cart(real,M),bool))),setspec),s(cart(real,M),GENR_PVARR_331))),s(bool,V))),s(cart(real,M),i(s(fun(num,cart(real,M)),basis),s(num,I0)))))) ) )+ => ! [U_0] :+ ( ! [A5,X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),U_0),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X)))+ => ! [A5] : s(fun(cart(real,N),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,N),bool)),columns),s(cart(cart(real,M),N),A5))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),U_0),s(cart(cart(real,M),N),A5))))),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),gspec),s(fun(cart(real,M),bool),U_1))))) ) ) )).++fof(aRANKu_DIMu_IM,axiom,(+ ! [N,M,U_0] :+ ( ! [A5,X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),U_0),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X)))+ => ! [A5] : s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) = s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),U_0),s(cart(cart(real,M),N),A5))))),s(fun(cart(real,M),bool),univ))))) ) )).++fof(aDIMu_EQu_SPAN,axiom,(+ ! [N,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),T0))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0)))))) )+ => s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),T0))) ) )).++fof(aDIMu_EQu_FULL,axiom,(+ ! [N,S0] :+ ( s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))) = s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))+ <=> s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))) = s(fun(cart(real,N),bool),univ) ) )).++fof(aDIMu_PSUBSET,axiom,(+ ! [Q132744,S0,T0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q132744),bool),bool),i(s(fun(fun(cart(real,Q132744),bool),fun(fun(cart(real,Q132744),bool),bool)),psubset),s(fun(cart(real,Q132744),bool),i(s(fun(fun(cart(real,Q132744),bool),fun(cart(real,Q132744),bool)),span),s(fun(cart(real,Q132744),bool),S0))))),s(fun(cart(real,Q132744),bool),i(s(fun(fun(cart(real,Q132744),bool),fun(cart(real,Q132744),bool)),span),s(fun(cart(real,Q132744),bool),T0))))))+ => p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,i(s(fun(fun(cart(real,Q132744),bool),num),dim),s(fun(cart(real,Q132744),bool),S0))))),s(num,i(s(fun(fun(cart(real,Q132744),bool),num),dim),s(fun(cart(real,Q132744),bool),T0)))))) ) )).++fof(aRANKu_BOUND,axiom,(+ ! [M,N,A5] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),min),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))))) )).++fof(aFULLu_RANKu_INJECTIVE,axiom,(+ ! [N,M,A5] :+ ( s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) = s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ)))+ <=> ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) ) ) )).++fof(aFULLu_RANKu_SURJECTIVE,axiom,(+ ! [M,N,A5] :+ ( s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) = s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))+ <=> ! [Y] :+ ? [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),Y) ) )).++fof(aMATRIXu_FULLu_LINEARu_EQUATIONS,axiom,(+ ! [M,N,A5,B0] :+ ( s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) = s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))+ => ? [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),B0) ) )).++fof(aMATRIXu_NONFULLu_LINEARu_EQUATIONSu_EQ,axiom,(+ ! [N,M,A5] :+ ( ? [X] :+ ( s(cart(real,M),X) != s(cart(real,M),i(s(fun(num,cart(real,M)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ <=> s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) != s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))) ) )).++fof(aMATRIXu_NONFULLu_LINEARu_EQUATIONS,axiom,(+ ! [M,N,A5] :+ ( s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) != s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ)))+ => ? [X] :+ ( s(cart(real,M),X) != s(cart(real,M),i(s(fun(num,cart(real,M)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aMATRIXu_TRIVIALu_LINEARu_EQUATIONS,axiom,(+ ! [M,N,A5] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))))))+ => ? [X] :+ ( s(cart(real,M),X) != s(cart(real,M),i(s(fun(num,cart(real,M)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) )).++fof(aRANKu_EQu_0,axiom,(+ ! [M,N,A5] :+ ( s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) = s(num,i(s(fun(num,num),numeral),s(num,u_0)))+ <=> s(cart(cart(real,M),N),A5) = s(cart(cart(real,M),N),i(s(fun(num,cart(cart(real,M),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aRANKu_0,axiom,(+ ! [Q133117,Q133118] : s(num,i(s(fun(cart(cart(real,Q133117),Q133118),num),rank),s(cart(cart(real,Q133117),Q133118),i(s(fun(num,cart(cart(real,Q133117),Q133118)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))) )).++fof(aRANKu_MULu_LEu_RIGHT,axiom,(+ ! [M,P,N,A5,B0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(cart(cart(real,P),M),num),rank),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))))))),s(num,i(s(fun(cart(cart(real,P),N),num),rank),s(cart(cart(real,P),N),B0)))))) )).++fof(aRANKu_MULu_LEu_LEFT,axiom,(+ ! [P,N,M,A5,B0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(cart(cart(real,P),M),num),rank),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))))))),s(num,i(s(fun(cart(cart(real,N),M),num),rank),s(cart(cart(real,N),M),A5)))))) )).++fof(aADJOINTu_INJECTIVE,axiom,(+ ! [M,N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ( ! [X,Y] :+ ( s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,N),cart(real,M))),adjoint),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,N),X))) = s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,N),cart(real,M))),adjoint),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) )+ <=> ! [Y] :+ ? [X] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),Y) ) ) )).++fof(aADJOINTu_SURJECTIVE,axiom,(+ ! [N,M,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => ( ! [Y] :+ ? [X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,N),cart(real,M))),adjoint),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,N),X))) = s(cart(real,M),Y)+ <=> ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) ) ) ) )).++fof(aADJOINTu_INJECTIVEu_INJECTIVE,axiom,(+ ! [N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ => ( ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N))),adjoint),s(fun(cart(real,N),cart(real,N)),F0))),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N))),adjoint),s(fun(cart(real,N),cart(real,N)),F0))),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) )+ <=> ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) ) ) ) )).++fof(aADJOINTu_INJECTIVEu_INJECTIVEu_0,axiom,(+ ! [N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ => ( ! [X] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(cart(real,N),cart(real,N))),adjoint),s(fun(cart(real,N),cart(real,N)),F0))),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => s(cart(real,N),X) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ <=> ! [X] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => s(cart(real,N),X) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) )).++fof(aLINEARu_SINGULARu_INTOu_HYPERPLANE,axiom,(+ ! [N,F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ => ( ~ ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) )+ <=> ? [A5] :+ ( s(cart(real,N),A5) != s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & ! [X] : s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),A5))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) )).++fof(aLINEARu_SINGULARu_IMAGEu_HYPERPLANE,axiom,(+ ! [N,U_0] :+ ( ! [A5,GENR_PVARR_332] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),U_0),s(cart(real,N),A5))),s(cart(real,N),GENR_PVARR_332))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),A5))),s(cart(real,N),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_332))),s(bool,V))),s(cart(real,N),X)))) ) )+ => ! [F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ & ~ ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) ) )+ => ? [A5] :+ ( s(cart(real,N),A5) != s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & ! [S0] : p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,N),cart(real,N)),F0))),s(fun(cart(real,N),bool),S0))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),U_0),s(cart(real,N),A5)))))))) ) ) ) )).++fof(aLOWDIMu_EXPANDu_DIMENSION,axiom,(+ ! [N,S0,N0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,N0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,N0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => ? [T0] :+ ( s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),T0))) = s(num,N0)+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),T0)))))) ) ) )).++fof(aLOWDIMu_EXPANDu_BASIS,axiom,(+ ! [N,S0,N0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,N0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,N0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => ? [B0] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,N),bool),fun(num,bool)),hasu_size),s(fun(cart(real,N),bool),B0))),s(num,N0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0)))))) ) ) )).++fof(aSPANu_DELETEu_0,axiom,(+ ! [N,S0] : s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),fun(cart(real,N),bool))),delete),s(fun(cart(real,N),bool),S0))),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))) )).++fof(aSPANu_IMAGEu_SCALE,axiom,(+ ! [N,U_0] :+ ( ! [C0,X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_0),s(fun(cart(real,N),real),C0))),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),C0),s(cart(real,N),X))))),s(cart(real,N),X)))+ => ! [C0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),S0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),S0))))+ => s(real,i(s(fun(cart(real,N),real),C0),s(cart(real,N),X))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ => s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,N),cart(real,N)),i(s(fun(fun(cart(real,N),real),fun(cart(real,N),cart(real,N))),U_0),s(fun(cart(real,N),real),C0))))),s(fun(cart(real,N),bool),S0))))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))) ) ) )).++fof(aPAIRWISEu_ORTHOGONALu_INDEPENDENT,axiom,(+ ! [N,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),S0))))+ & ~ p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,N),bool),S0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0)))) ) )).++fof(aPAIRWISEu_ORTHOGONALu_IMPu_FINITE,axiom,(+ ! [N,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),S0))))+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),finite),s(fun(cart(real,N),bool),S0)))) ) )).++fof(aGRAMu_SCHMIDTu_STEP,axiom,(+ ! [N,U_0] :+ ( ! [A5,B0] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),U_0),s(cart(real,N),A5))),s(cart(real,N),B0))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),B0))),s(cart(real,N),A5))))),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),B0))),s(cart(real,N),B0))))))),s(cart(real,N),B0)))+ => ! [S0,A5,X] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0)))))) )+ => p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),X))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),A5))),s(cart(real,N),i(s(fun(fun(cart(real,N),cart(real,N)),cart(real,N)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),cart(real,N)),cart(real,N))),vsum),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),U_0),s(cart(real,N),A5)))))))))) ) ) )).++fof(aORTHOGONALu_EXTENSION,axiom,(+ ! [N,S0,T0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),S0))))+ => ? [U] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),U))))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),U))))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))) ) ) )).++fof(aORTHOGONALu_EXTENSIONu_STRONG,axiom,(+ ! [N,S0,T0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),S0))))+ => ? [U] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),disjoint),s(fun(cart(real,N),bool),U))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,N),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),U))))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),U))))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))) ) ) )).++fof(aORTHONORMALu_EXTENSION,axiom,(+ ! [N,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),S0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),S0))))+ => s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) )+ => ? [U] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),disjoint),s(fun(cart(real,N),bool),U))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),U))))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),U))))+ => s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),U))))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))) ) ) )).++fof(aVECTORu_INu_ORTHOGONALu_SPANNINGSET,axiom,(+ ! [N,A5] :+ ? [S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),A5))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),S0))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))) = s(fun(cart(real,N),bool),univ) ) )).++fof(aVECTORu_INu_ORTHOGONALu_BASIS,axiom,(+ ! [N,A5] :+ ( s(cart(real,N),A5) != s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ => ? [S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),A5))),s(fun(cart(real,N),bool),S0))))+ & ~ p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,N),bool),fun(num,bool)),hasu_size),s(fun(cart(real,N),bool),S0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))) = s(fun(cart(real,N),bool),univ) ) ) )).++fof(aVECTORu_INu_ORTHONORMALu_BASIS,axiom,(+ ! [N,A5] :+ ( s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),A5))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))+ => ? [S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),A5))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),S0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),S0))))+ => s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,N),bool),fun(num,bool)),hasu_size),s(fun(cart(real,N),bool),S0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))) = s(fun(cart(real,N),bool),univ) ) ) )).++fof(aORTHOGONALu_SPANNINGSETu_SUBSPACE,axiom,(+ ! [N,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),S0))))+ => ? [B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),B0))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),B0))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0))) = s(fun(cart(real,N),bool),S0) ) ) )).++fof(aORTHOGONALu_BASISu_SUBSPACE,axiom,(+ ! [N,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),S0))))+ => ? [B0] :+ ( ~ p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),B0))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,N),bool),fun(num,bool)),hasu_size),s(fun(cart(real,N),bool),B0))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0))) = s(fun(cart(real,N),bool),S0) ) ) )).++fof(aORTHONORMALu_BASISu_SUBSPACE,axiom,(+ ! [N,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),S0))))+ => ? [B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),fun(cart(real,N),bool)),fun(fun(cart(real,N),bool),bool)),pairwise),s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal))),s(fun(cart(real,N),bool),B0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),B0))))+ => s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) )+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),independent),s(fun(cart(real,N),bool),B0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,N),bool),fun(num,bool)),hasu_size),s(fun(cart(real,N),bool),B0))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),B0))) = s(fun(cart(real,N),bool),S0) ) ) )).++fof(aORTHOGONALu_TOu_SUBSPACEu_EXISTSu_GEN,axiom,(+ ! [N,S0,T0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),psubset),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),T0))))))+ => ? [X] :+ ( s(cart(real,N),X) != s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),T0))))))+ & ! [Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ => p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),X))),s(cart(real,N),Y)))) ) ) ) )).++fof(aORTHOGONALu_TOu_SUBSPACEu_EXISTS,axiom,(+ ! [N,S0] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ => ? [X] :+ ( s(cart(real,N),X) != s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & ! [Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),S0))))+ => p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),X))),s(cart(real,N),Y)))) ) ) ) )).++fof(aORTHOGONALu_TOu_VECTORu_EXISTS,axiom,(+ ! [N,X] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ => ? [Y] :+ ( s(cart(real,N),Y) != s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),X))),s(cart(real,N),Y)))) ) ) )).++fof(aSPANu_NOTu_UNIVu_ORTHOGONAL,axiom,(+ ! [N,S0] :+ ( s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))) != s(fun(cart(real,N),bool),univ)+ => ? [A5] :+ ( s(cart(real,N),A5) != s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ => s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),A5))),s(cart(real,N),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ) ) )).++fof(aSPANu_NOTu_UNIVu_SUBSETu_HYPERPLANE,axiom,(+ ! [N,U_0] :+ ( ! [A5,GENR_PVARR_335] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),U_0),s(cart(real,N),A5))),s(cart(real,N),GENR_PVARR_335))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),A5))),s(cart(real,N),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_335))),s(bool,V))),s(cart(real,N),X)))) ) )+ => ! [S0] :+ ( s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))) != s(fun(cart(real,N),bool),univ)+ => ? [A5] :+ ( s(cart(real,N),A5) != s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),U_0),s(cart(real,N),A5)))))))) ) ) ) )).++fof(aLOWDIMu_SUBSETu_HYPERPLANE,axiom,(+ ! [N,U_0] :+ ( ! [A5,GENR_PVARR_336] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),U_0),s(cart(real,N),A5))),s(cart(real,N),GENR_PVARR_336))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),A5))),s(cart(real,N),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_336))),s(bool,V))),s(cart(real,N),X)))) ) )+ => ! [S0] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ => ? [A5] :+ ( s(cart(real,N),A5) != s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),U_0),s(cart(real,N),A5)))))))) ) ) ) )).++fof(aORTHOGONALu_SUBSPACEu_DECOMPu_UNIQUE,axiom,(+ ! [N,S0,T0,X,Y,XI_,YI_] :+ ( ( ! [A5,B0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),A5))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),B0))),s(fun(cart(real,N),bool),T0)))) )+ => p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),A5))),s(cart(real,N),B0)))) )+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),XI_))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),T0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),YI_))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),T0))))))+ & s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),X))),s(cart(real,N),Y))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),XI_))),s(cart(real,N),YI_))) )+ => ( s(cart(real,N),X) = s(cart(real,N),XI_)+ & s(cart(real,N),Y) = s(cart(real,N),YI_) ) ) )).++fof(aORTHOGONALu_SUBSPACEu_DECOMPu_EXISTS,axiom,(+ ! [N,S0,X] :+ ? [Y,Z0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ & ! [W] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),W))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ => p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),Z0))),s(cart(real,N),W)))) )+ & s(cart(real,N),X) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),Y))),s(cart(real,N),Z0))) ) )).++fof(aORTHOGONALu_SUBSPACEu_DECOMP,axiom,(+ ! [N,U_1] :+ ( ! [S0,GENR_PVARR_338] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),U_1),s(fun(cart(real,N),bool),S0))),s(cart(real,N),GENR_PVARR_338))))+ <=> ? [Z0,V] :+ ( ( p(s(bool,V))+ <=> ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ => p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),Z0))),s(cart(real,N),X)))) ) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_338))),s(bool,V))),s(cart(real,N),Z0)))) ) )+ => ! [U_0] :+ ( ! [S0,X,F0] :+ ( p(s(bool,i(s(fun(fun(prod(cart(real,N),cart(real,N)),bool),bool),i(s(fun(cart(real,N),fun(fun(prod(cart(real,N),cart(real,N)),bool),bool)),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),fun(fun(prod(cart(real,N),cart(real,N)),bool),bool))),U_0),s(fun(cart(real,N),bool),S0))),s(cart(real,N),X))),s(fun(prod(cart(real,N),cart(real,N)),bool),F0))))+ <=> ! [Y,Z0] :+ ? [V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),S0))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Z0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),U_1),s(fun(cart(real,N),bool),S0))))))))+ & s(cart(real,N),X) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),Y))),s(cart(real,N),Z0))) ) )+ & p(s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),geq),s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),F0),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),Y))),s(cart(real,N),Z0))))))),s(bool,V)))) ) )+ => ! [S0,X] :+ ( p(s(bool,i(s(fun(fun(prod(cart(real,N),cart(real,N)),bool),bool),q_),s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(fun(fun(prod(cart(real,N),cart(real,N)),bool),bool),fun(prod(cart(real,N),cart(real,N)),bool)),gabs),s(fun(fun(prod(cart(real,N),cart(real,N)),bool),bool),i(s(fun(cart(real,N),fun(fun(prod(cart(real,N),cart(real,N)),bool),bool)),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),fun(fun(prod(cart(real,N),cart(real,N)),bool),bool))),U_0),s(fun(cart(real,N),bool),S0))),s(cart(real,N),X))))))))+ & ! [X0,Y] :+ ( ( p(s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(fun(fun(prod(cart(real,N),cart(real,N)),bool),bool),fun(prod(cart(real,N),cart(real,N)),bool)),gabs),s(fun(fun(prod(cart(real,N),cart(real,N)),bool),bool),i(s(fun(cart(real,N),fun(fun(prod(cart(real,N),cart(real,N)),bool),bool)),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),fun(fun(prod(cart(real,N),cart(real,N)),bool),bool))),U_0),s(fun(cart(real,N),bool),S0))),s(cart(real,N),X))))),s(prod(cart(real,N),cart(real,N)),X0))))+ & p(s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(fun(fun(prod(cart(real,N),cart(real,N)),bool),bool),fun(prod(cart(real,N),cart(real,N)),bool)),gabs),s(fun(fun(prod(cart(real,N),cart(real,N)),bool),bool),i(s(fun(cart(real,N),fun(fun(prod(cart(real,N),cart(real,N)),bool),bool)),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),fun(fun(prod(cart(real,N),cart(real,N)),bool),bool))),U_0),s(fun(cart(real,N),bool),S0))),s(cart(real,N),X))))),s(prod(cart(real,N),cart(real,N)),Y)))) )+ => s(prod(cart(real,N),cart(real,N)),X0) = s(prod(cart(real,N),cart(real,N)),Y) ) ) ) ) )).++fof(aISOMETRYu_SUBSPACES,axiom,(+ ! [N,M,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),subspace),s(fun(cart(real,M),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),T0))))+ & s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),S0))) = s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),T0))) )+ => ? [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0))) = s(fun(cart(real,N),bool),T0)+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),S0))))+ => s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) = s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))) ) ) ) )).++fof(aISOMETRYu_UNIVu_SUBSPACE,axiom,(+ ! [N,M,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),S0))))+ & s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))) = s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))) )+ => ? [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),univ))) = s(fun(cart(real,N),bool),S0)+ & ! [X] : s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) = s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))) ) ) )).++fof(aISOMETRYu_UNIVu_SUPERSETu_SUBSPACE,axiom,(+ ! [N,M,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => ? [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),univ))))))+ & ! [X] : s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) = s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))) ) ) )).++fof(aISOMETRYu_UNIVu_UNIV,axiom,(+ ! [N,M] :+ ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))+ => ? [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X] : s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) = s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))) ) ) )).++fof(aSUBSPACEu_ISOMORPHISM,axiom,(+ ! [N,M,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),subspace),s(fun(cart(real,M),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),T0))))+ & s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),S0))) = s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),T0))) )+ => ? [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0))) = s(fun(cart(real,N),bool),T0)+ & ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),Y))),s(fun(cart(real,M),bool),S0))))+ & s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y))) )+ => s(cart(real,M),X) = s(cart(real,M),Y) ) ) ) )).++fof(aISOMORPHISMSu_UNIVu_UNIV,axiom,(+ ! [M,N] :+ ( s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))) = s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))+ => ? [F0,G0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),G0))))+ & ! [X] : s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) = s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X)))+ & ! [Y] : s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),G0),s(cart(real,N),Y))))) = s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y)))+ & ! [X] : s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),G0),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) = s(cart(real,M),X)+ & ! [Y] : s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),i(s(fun(cart(real,N),cart(real,M)),G0),s(cart(real,N),Y))))) = s(cart(real,N),Y) ) ) )).++fof(aSUBSPACEu_HYPERPLANE,axiom,(+ ! [N,U_0] :+ ( ! [A5,GENR_PVARR_340] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),U_0),s(cart(real,N),A5))),s(cart(real,N),GENR_PVARR_340))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),A5))),s(cart(real,N),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_340))),s(bool,V))),s(cart(real,N),X)))) ) )+ => ! [A5] : p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),U_0),s(cart(real,N),A5)))))))) ) )).++fof(aSUBSPACEu_SPECIALu_HYPERPLANE,axiom,(+ ! [N,U_0] :+ ( ! [K0,GENR_PVARR_341] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(num,fun(cart(real,N),bool)),U_0),s(num,K0))),s(cart(real,N),GENR_PVARR_341))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,K0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_341))),s(bool,V))),s(cart(real,N),X)))) ) )+ => ! [K0] : p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(num,fun(cart(real,N),bool)),U_0),s(num,K0)))))))) ) )).++fof(aSPECIALu_HYPERPLANEu_SPAN,axiom,(+ ! [N,U_0] :+ ( ! [K0,GENR_PVARR_342] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(num,fun(cart(real,N),bool)),U_0),s(num,K0))),s(cart(real,N),GENR_PVARR_342))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,K0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_342))),s(bool,V))),s(cart(real,N),X)))) ) )+ => ! [K0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,K0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,K0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(num,fun(cart(real,N),bool)),U_0),s(num,K0))))) = s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),span),s(fun(cart(real,N),bool),i(s(fun(fun(num,bool),fun(cart(real,N),bool)),i(s(fun(fun(num,cart(real,N)),fun(fun(num,bool),fun(cart(real,N),bool))),image),s(fun(num,cart(real,N)),basis))),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(fun(num,bool),fun(num,fun(num,bool))),delete),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))),s(num,K0))))))) ) ) )).++fof(aDIMu_SPECIALu_HYPERPLANE,axiom,(+ ! [N,U_0] :+ ( ! [K0,GENR_PVARR_344] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(num,fun(cart(real,N),bool)),U_0),s(num,K0))),s(cart(real,N),GENR_PVARR_344))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,K0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_344))),s(bool,V))),s(cart(real,N),X)))) ) )+ => ! [K0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,K0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,K0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(num,fun(cart(real,N),bool)),U_0),s(num,K0))))))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ) ) )).++fof(aDIMu_IMAGEu_KERNELu_GEN,axiom,(+ ! [N,M,U_0] :+ ( ! [S0,F0,GENR_PVARR_353] :+ ( p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool)),i(s(fun(fun(cart(real,M),bool),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool))),U_0),s(fun(cart(real,M),bool),S0))),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,M),GENR_PVARR_353))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),i(s(fun(cart(real,M),fun(fun(cart(real,M),bool),bool)),in),s(cart(real,M),X))),s(fun(cart(real,M),bool),S0))))+ & s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )+ & p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(bool,fun(cart(real,M),bool)),i(s(fun(cart(real,M),fun(bool,fun(cart(real,M),bool))),setspec),s(cart(real,M),GENR_PVARR_353))),s(bool,V))),s(cart(real,M),X)))) ) )+ => ! [F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),subspace),s(fun(cart(real,M),bool),S0)))) )+ => s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0))))))),s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),gspec),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool)),i(s(fun(fun(cart(real,M),bool),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool))),U_0),s(fun(cart(real,M),bool),S0))),s(fun(cart(real,M),cart(real,N)),F0))))))))) = s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),S0))) ) ) )).++fof(aDIMu_IMAGEu_KERNEL,axiom,(+ ! [N,M,U_0] :+ ( ! [F0,GENR_PVARR_354] :+ ( p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool)),U_0),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,M),GENR_PVARR_354))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(bool,fun(cart(real,M),bool)),i(s(fun(cart(real,M),fun(bool,fun(cart(real,M),bool))),setspec),s(cart(real,M),GENR_PVARR_354))),s(bool,V))),s(cart(real,M),X)))) ) )+ => ! [F0] :+ ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ => s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),univ))))))),s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),gspec),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool)),U_0),s(fun(cart(real,M),cart(real,N)),F0))))))))) = s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))) ) ) )).++fof(aDIMu_SUMSu_INTER,axiom,(+ ! [N,U_0] :+ ( ! [S0,T0,GENR_PVARR_357] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),U_0),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))),s(cart(real,N),GENR_PVARR_357))))+ <=> ? [X,Y,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),T0)))) ) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_357))),s(bool,V))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),X))),s(cart(real,N),Y)))))) ) )+ => ! [S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),T0)))) )+ => s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),U_0),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),inter),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),T0))))) ) ) )).++fof(aDIMu_KERNELu_COMPOSE,axiom,(+ ! [M,N,P,U_2] :+ ( ! [G0,GENR_PVARR_366] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),cart(real,P)),fun(cart(real,N),bool)),U_2),s(fun(cart(real,N),cart(real,P)),G0))),s(cart(real,N),GENR_PVARR_366))))+ <=> ? [Y,V] :+ ( ( p(s(bool,V))+ <=> s(cart(real,P),i(s(fun(cart(real,N),cart(real,P)),G0),s(cart(real,N),Y))) = s(cart(real,P),i(s(fun(num,cart(real,P)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_366))),s(bool,V))),s(cart(real,N),Y)))) ) )+ => ! [U_1] :+ ( ! [F0,GENR_PVARR_365] :+ ( p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool)),U_1),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,M),GENR_PVARR_365))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(bool,fun(cart(real,M),bool)),i(s(fun(cart(real,M),fun(bool,fun(cart(real,M),bool))),setspec),s(cart(real,M),GENR_PVARR_365))),s(bool,V))),s(cart(real,M),X)))) ) )+ => ! [U_0] :+ ( ! [G0,F0,GENR_PVARR_364] :+ ( p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool)),i(s(fun(fun(cart(real,N),cart(real,P)),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool))),U_0),s(fun(cart(real,N),cart(real,P)),G0))),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,M),GENR_PVARR_364))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(cart(real,P),i(s(fun(cart(real,M),cart(real,P)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,P))),i(s(fun(fun(cart(real,N),cart(real,P)),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),cart(real,P)))),o),s(fun(cart(real,N),cart(real,P)),G0))),s(fun(cart(real,M),cart(real,N)),F0))),s(cart(real,M),X))) = s(cart(real,P),i(s(fun(num,cart(real,P)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(bool,fun(cart(real,M),bool)),i(s(fun(cart(real,M),fun(bool,fun(cart(real,M),bool))),setspec),s(cart(real,M),GENR_PVARR_364))),s(bool,V))),s(cart(real,M),X)))) ) )+ => ! [F0,G0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),cart(real,P)),bool),linear),s(fun(cart(real,N),cart(real,P)),G0)))) )+ => p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),gspec),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool)),i(s(fun(fun(cart(real,N),cart(real,P)),fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool))),U_0),s(fun(cart(real,N),cart(real,P)),G0))),s(fun(cart(real,M),cart(real,N)),F0))))))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),gspec),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),cart(real,N)),fun(cart(real,M),bool)),U_1),s(fun(cart(real,M),cart(real,N)),F0))))))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),cart(real,P)),fun(cart(real,N),bool)),U_2),s(fun(cart(real,N),cart(real,P)),G0)))))))))))) ) ) ) ) )).++fof(aDIMu_ORTHOGONALu_SUM,axiom,(+ ! [N,S0,T0] :+ ( ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),T0)))) )+ => s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),Y))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ => s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),union),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0))))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),T0))))) ) )).++fof(aDIMu_SUBSPACEu_ORTHOGONALu_TOu_VECTORS,axiom,(+ ! [N,U_0] :+ ( ! [T0,S0,GENR_PVARR_367] :+ ( p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),U_0),s(fun(cart(real,N),bool),T0))),s(fun(cart(real,N),bool),S0))),s(cart(real,N),GENR_PVARR_367))))+ <=> ? [Y,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),Y))),s(fun(cart(real,N),bool),T0))))+ & ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),S0))))+ => p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),X))),s(cart(real,N),Y)))) ) ) )+ & p(s(bool,i(s(fun(cart(real,N),bool),i(s(fun(bool,fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(bool,fun(cart(real,N),bool))),setspec),s(cart(real,N),GENR_PVARR_367))),s(bool,V))),s(cart(real,N),Y)))) ) )+ => ! [S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),subspace),s(fun(cart(real,N),bool),T0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),bool)),subset),s(fun(cart(real,N),bool),S0))),s(fun(cart(real,N),bool),T0)))) )+ => s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),gspec),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),bool),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),U_0),s(fun(cart(real,N),bool),T0))),s(fun(cart(real,N),bool),S0))))))))),s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),S0))))) = s(num,i(s(fun(fun(cart(real,N),bool),num),dim),s(fun(cart(real,N),bool),T0))) ) ) )).++fof(aRANKu_NULLSPACE,axiom,(+ ! [N,M,U_0] :+ ( ! [A5,GENR_PVARR_368] :+ ( p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),bool)),U_0),s(cart(cart(real,M),N),A5))),s(cart(real,M),GENR_PVARR_368))))+ <=> ? [X,V] :+ ( ( p(s(bool,V))+ <=> s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),cart(real,N))),matrixu_vectoru_mul),s(cart(cart(real,M),N),A5))),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )+ & p(s(bool,i(s(fun(cart(real,M),bool),i(s(fun(bool,fun(cart(real,M),bool)),i(s(fun(cart(real,M),fun(bool,fun(cart(real,M),bool))),setspec),s(cart(real,M),GENR_PVARR_368))),s(bool,V))),s(cart(real,M),X)))) ) )+ => ! [A5] : s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))))),s(num,i(s(fun(fun(cart(real,M),bool),num),dim),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,M),bool)),gspec),s(fun(cart(real,M),bool),i(s(fun(cart(cart(real,M),N),fun(cart(real,M),bool)),U_0),s(cart(cart(real,M),N),A5))))))))) = s(num,i(s(fun(fun(M,bool),num),dimindex),s(fun(M,bool),univ))) ) )).++fof(aRANKu_SYLVESTER,axiom,(+ ! [M,P,N,A5,B0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(cart(cart(real,N),M),num),rank),s(cart(cart(real,N),M),A5))))),s(num,i(s(fun(cart(cart(real,P),N),num),rank),s(cart(cart(real,P),N),B0))))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(cart(cart(real,P),M),num),rank),s(cart(cart(real,P),M),i(s(fun(cart(cart(real,P),N),cart(cart(real,P),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,P),N),cart(cart(real,P),M))),matrixu_mul),s(cart(cart(real,N),M),A5))),s(cart(cart(real,P),N),B0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))))) )).++fof(aRANKu_GRAM,axiom,(+ ! [M,N,A5] : s(num,i(s(fun(cart(cart(real,M),M),num),rank),s(cart(cart(real,M),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,M),N),cart(cart(real,M),M))),matrixu_mul),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,M),N),cart(cart(real,N),M)),transp),s(cart(cart(real,M),N),A5))))),s(cart(cart(real,M),N),A5))))) = s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) )).++fof(aRANKu_TRIANGLE,axiom,(+ ! [M,N,A5,B0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),i(s(fun(cart(cart(real,M),N),cart(cart(real,M),N)),i(s(fun(cart(cart(real,M),N),fun(cart(cart(real,M),N),cart(cart(real,M),N))),matrixu_add),s(cart(cart(real,M),N),A5))),s(cart(cart(real,M),N),B0))))))),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))))),s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),B0)))))))) )).++fof(ainfnorm,axiom,(+ ! [N,U_0] :+ ( ! [GENR_PVARR_374] :+ ( p(s(bool,i(s(fun(real,bool),U_0),s(real,GENR_PVARR_374))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(real,bool),i(s(fun(bool,fun(real,bool)),i(s(fun(real,fun(bool,fun(real,bool))),setspec),s(real,GENR_PVARR_374))),s(bool,V))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),x))),s(num,I0)))))))) ) )+ => s(real,i(s(fun(cart(real,N),real),infnorm),s(cart(real,N),x))) = s(real,i(s(fun(fun(real,bool),real),sup),s(fun(real,bool),i(s(fun(fun(real,bool),fun(real,bool)),gspec),s(fun(real,bool),U_0))))) ) )).++fof(aNUMSEGu_DIMINDEXu_NONEMPTY,axiom,(+ ! [N] :+ ? [I0] : p(s(bool,i(s(fun(fun(num,bool),bool),i(s(fun(num,fun(fun(num,bool),bool)),in),s(num,I0))),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))))) )).++fof(aINFNORMu_SETu_IMAGE,axiom,(+ ! [Q138882,N,U_1] :+ ( ! [I0] : s(real,i(s(fun(num,real),U_1),s(num,I0))) = s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,Q138882),fun(num,real)),d_),s(cart(real,Q138882),x))),s(num,I0)))))+ => ! [U_0] :+ ( ! [GENR_PVARR_375] :+ ( p(s(bool,i(s(fun(real,bool),U_0),s(real,GENR_PVARR_375))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(real,bool),i(s(fun(bool,fun(real,bool)),i(s(fun(real,fun(bool,fun(real,bool))),setspec),s(real,GENR_PVARR_375))),s(bool,V))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,Q138882),fun(num,real)),d_),s(cart(real,Q138882),x))),s(num,I0)))))))) ) )+ => s(fun(real,bool),i(s(fun(fun(real,bool),fun(real,bool)),gspec),s(fun(real,bool),U_0))) = s(fun(real,bool),i(s(fun(fun(num,bool),fun(real,bool)),i(s(fun(fun(num,real),fun(fun(num,bool),fun(real,bool))),image),s(fun(num,real),U_1))),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))) ) ) )).++fof(aINFNORMu_SETu_LEMMAu_conjunct0,axiom,(+ ! [N,U_0] :+ ( ! [GENR_PVARR_376] :+ ( p(s(bool,i(s(fun(real,bool),U_0),s(real,GENR_PVARR_376))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(real,bool),i(s(fun(bool,fun(real,bool)),i(s(fun(real,fun(bool,fun(real,bool))),setspec),s(real,GENR_PVARR_376))),s(bool,V))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),x))),s(num,I0)))))))) ) )+ => p(s(bool,i(s(fun(fun(real,bool),bool),finite),s(fun(real,bool),i(s(fun(fun(real,bool),fun(real,bool)),gspec),s(fun(real,bool),U_0)))))) ) )).++fof(aINFNORMu_SETu_LEMMAu_conjunct1,axiom,(+ ! [N,U_0] :+ ( ! [GENR_PVARR_377] :+ ( p(s(bool,i(s(fun(real,bool),U_0),s(real,GENR_PVARR_377))))+ <=> ? [I0,V] :+ ( ( p(s(bool,V))+ <=> ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) ) )+ & p(s(bool,i(s(fun(real,bool),i(s(fun(bool,fun(real,bool)),i(s(fun(real,fun(bool,fun(real,bool))),setspec),s(real,GENR_PVARR_377))),s(bool,V))),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),x))),s(num,I0)))))))) ) )+ => s(fun(real,bool),i(s(fun(fun(real,bool),fun(real,bool)),gspec),s(fun(real,bool),U_0))) != s(fun(real,bool),empty) ) )).++fof(aINFNORMu_POSu_LE,axiom,(+ ! [Q138980,X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q138980),real),infnorm),s(cart(real,Q138980),X)))))) )).++fof(aINFNORMu_TRIANGLE,axiom,(+ ! [Q139038,X,Y] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q139038),real),infnorm),s(cart(real,Q139038),i(s(fun(cart(real,Q139038),cart(real,Q139038)),i(s(fun(cart(real,Q139038),fun(cart(real,Q139038),cart(real,Q139038))),vectoru_add),s(cart(real,Q139038),X))),s(cart(real,Q139038),Y))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,Q139038),real),infnorm),s(cart(real,Q139038),X))))),s(real,i(s(fun(cart(real,Q139038),real),infnorm),s(cart(real,Q139038),Y)))))))) )).++fof(aINFNORMu_EQu_0,axiom,(+ ! [Q139075,X] :+ ( s(real,i(s(fun(cart(real,Q139075),real),infnorm),s(cart(real,Q139075),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ <=> s(cart(real,Q139075),X) = s(cart(real,Q139075),i(s(fun(num,cart(real,Q139075)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aINFNORMu_0,axiom,(+ ! [Q139083] : s(real,i(s(fun(cart(real,Q139083),real),infnorm),s(cart(real,Q139083),i(s(fun(num,cart(real,Q139083)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )).++fof(aINFNORMu_NEG,axiom,(+ ! [Q139102,X] : s(real,i(s(fun(cart(real,Q139102),real),infnorm),s(cart(real,Q139102),i(s(fun(cart(real,Q139102),cart(real,Q139102)),vectoru_neg),s(cart(real,Q139102),X))))) = s(real,i(s(fun(cart(real,Q139102),real),infnorm),s(cart(real,Q139102),X))) )).++fof(aINFNORMu_SUB,axiom,(+ ! [Q139133,X,Y] : s(real,i(s(fun(cart(real,Q139133),real),infnorm),s(cart(real,Q139133),i(s(fun(cart(real,Q139133),cart(real,Q139133)),i(s(fun(cart(real,Q139133),fun(cart(real,Q139133),cart(real,Q139133))),vectoru_sub),s(cart(real,Q139133),X))),s(cart(real,Q139133),Y))))) = s(real,i(s(fun(cart(real,Q139133),real),infnorm),s(cart(real,Q139133),i(s(fun(cart(real,Q139133),cart(real,Q139133)),i(s(fun(cart(real,Q139133),fun(cart(real,Q139133),cart(real,Q139133))),vectoru_sub),s(cart(real,Q139133),Y))),s(cart(real,Q139133),X))))) )).++fof(aREALu_ABSu_SUBu_INFNORM,axiom,(+ ! [Q139185] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,Q139185),real),infnorm),s(cart(real,Q139185),x))))),s(real,i(s(fun(cart(real,Q139185),real),infnorm),s(cart(real,Q139185),y))))))))),s(real,i(s(fun(cart(real,Q139185),real),infnorm),s(cart(real,Q139185),i(s(fun(cart(real,Q139185),cart(real,Q139185)),i(s(fun(cart(real,Q139185),fun(cart(real,Q139185),cart(real,Q139185))),vectoru_sub),s(cart(real,Q139185),x))),s(cart(real,Q139185),y)))))))) )).++fof(aREALu_ABSu_INFNORM,axiom,(+ ! [Q139200,X] : s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,Q139200),real),infnorm),s(cart(real,Q139200),X))))) = s(real,i(s(fun(cart(real,Q139200),real),infnorm),s(cart(real,Q139200),X))) )).++fof(aCOMPONENTu_LEu_INFNORM,axiom,(+ ! [N,X,I0] :+ ( ( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,I0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,I0))),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ)))))) )+ => p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),X))),s(num,I0))))))),s(real,i(s(fun(cart(real,N),real),infnorm),s(cart(real,N),X)))))) ) )).++fof(aINFNORMu_MULu_LEMMA,axiom,(+ ! [Q139282,A5,X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q139282),real),infnorm),s(cart(real,Q139282),i(s(fun(cart(real,Q139282),cart(real,Q139282)),i(s(fun(real,fun(cart(real,Q139282),cart(real,Q139282))),r_),s(real,A5))),s(cart(real,Q139282),X))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),realu_abs),s(real,A5))))),s(real,i(s(fun(cart(real,Q139282),real),infnorm),s(cart(real,Q139282),X)))))))) )).++fof(aINFNORMu_MUL,axiom,(+ ! [N,A5,X] : s(real,i(s(fun(cart(real,N),real),infnorm),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,A5))),s(cart(real,N),X))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),realu_abs),s(real,A5))))),s(real,i(s(fun(cart(real,N),real),infnorm),s(cart(real,N),X))))) )).++fof(aINFNORMu_POSu_LT,axiom,(+ ! [Q139356,X] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q139356),real),infnorm),s(cart(real,Q139356),X))))))+ <=> s(cart(real,Q139356),X) != s(cart(real,Q139356),i(s(fun(num,cart(real,Q139356)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aINFNORMu_LEu_NORM,axiom,(+ ! [Q139366,X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,Q139366),real),infnorm),s(cart(real,Q139366),X))))),s(real,i(s(fun(cart(real,Q139366),real),vectoru_norm),s(cart(real,Q139366),X)))))) )).++fof(aNORMu_LEu_INFNORM,axiom,(+ ! [N,X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(fun(N,bool),num),dimindex),s(fun(N,bool),univ))))))))),s(real,i(s(fun(cart(real,N),real),infnorm),s(cart(real,N),X)))))))) )).++fof(aNORMu_CAUCHYu_SCHWARZu_EQ,axiom,(+ ! [N,X,Y] :+ ( s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),Y))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y)))))+ <=> s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(cart(real,N),Y))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y))))),s(cart(real,N),X))) ) )).++fof(aNORMu_CAUCHYu_SCHWARZu_ABSu_EQ,axiom,(+ ! [N,X,Y] :+ ( s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),Y))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y)))))+ <=> ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(cart(real,N),Y))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y))))),s(cart(real,N),X)))+ | s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(cart(real,N),Y))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y))))))),s(cart(real,N),X))) ) ) )).++fof(aNORMu_TRIANGLEu_EQ,axiom,(+ ! [N,X,Y] :+ ( s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),X))),s(cart(real,N),Y))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y)))))+ <=> s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(cart(real,N),Y))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y))))),s(cart(real,N),X))) ) )).++fof(aDISTu_TRIANGLEu_EQ,axiom,(+ ! [Q139869,X,Y,Z0] :+ ( s(real,i(s(fun(prod(cart(real,Q139869),cart(real,Q139869)),real),distance),s(prod(cart(real,Q139869),cart(real,Q139869)),i(s(fun(cart(real,Q139869),prod(cart(real,Q139869),cart(real,Q139869))),i(s(fun(cart(real,Q139869),fun(cart(real,Q139869),prod(cart(real,Q139869),cart(real,Q139869)))),c_),s(cart(real,Q139869),X))),s(cart(real,Q139869),Z0))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(prod(cart(real,Q139869),cart(real,Q139869)),real),distance),s(prod(cart(real,Q139869),cart(real,Q139869)),i(s(fun(cart(real,Q139869),prod(cart(real,Q139869),cart(real,Q139869))),i(s(fun(cart(real,Q139869),fun(cart(real,Q139869),prod(cart(real,Q139869),cart(real,Q139869)))),c_),s(cart(real,Q139869),X))),s(cart(real,Q139869),Y))))))),s(real,i(s(fun(prod(cart(real,Q139869),cart(real,Q139869)),real),distance),s(prod(cart(real,Q139869),cart(real,Q139869)),i(s(fun(cart(real,Q139869),prod(cart(real,Q139869),cart(real,Q139869))),i(s(fun(cart(real,Q139869),fun(cart(real,Q139869),prod(cart(real,Q139869),cart(real,Q139869)))),c_),s(cart(real,Q139869),Y))),s(cart(real,Q139869),Z0)))))))+ <=> s(cart(real,Q139869),i(s(fun(cart(real,Q139869),cart(real,Q139869)),i(s(fun(real,fun(cart(real,Q139869),cart(real,Q139869))),r_),s(real,i(s(fun(cart(real,Q139869),real),vectoru_norm),s(cart(real,Q139869),i(s(fun(cart(real,Q139869),cart(real,Q139869)),i(s(fun(cart(real,Q139869),fun(cart(real,Q139869),cart(real,Q139869))),vectoru_sub),s(cart(real,Q139869),X))),s(cart(real,Q139869),Y))))))),s(cart(real,Q139869),i(s(fun(cart(real,Q139869),cart(real,Q139869)),i(s(fun(cart(real,Q139869),fun(cart(real,Q139869),cart(real,Q139869))),vectoru_sub),s(cart(real,Q139869),Y))),s(cart(real,Q139869),Z0))))) = s(cart(real,Q139869),i(s(fun(cart(real,Q139869),cart(real,Q139869)),i(s(fun(real,fun(cart(real,Q139869),cart(real,Q139869))),r_),s(real,i(s(fun(cart(real,Q139869),real),vectoru_norm),s(cart(real,Q139869),i(s(fun(cart(real,Q139869),cart(real,Q139869)),i(s(fun(cart(real,Q139869),fun(cart(real,Q139869),cart(real,Q139869))),vectoru_sub),s(cart(real,Q139869),Y))),s(cart(real,Q139869),Z0))))))),s(cart(real,Q139869),i(s(fun(cart(real,Q139869),cart(real,Q139869)),i(s(fun(cart(real,Q139869),fun(cart(real,Q139869),cart(real,Q139869))),vectoru_sub),s(cart(real,Q139869),X))),s(cart(real,Q139869),Y))))) ) )).++fof(aNORMu_CROSSu_MULTIPLY,axiom,(+ ! [N,A5,B0,X,Y] :+ ( ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,A5))),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,B0))),s(cart(real,N),Y)))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,A5))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,B0)))) )+ => s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y))))),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(cart(real,N),Y))) ) )).++fof(acollinear,axiom,(+ ! [Q140000,S0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q140000),bool),bool),collinear),s(fun(cart(real,Q140000),bool),S0))))+ <=> ? [U] :+ ! [X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q140000),bool),bool),i(s(fun(cart(real,Q140000),fun(fun(cart(real,Q140000),bool),bool)),in),s(cart(real,Q140000),X))),s(fun(cart(real,Q140000),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q140000),bool),bool),i(s(fun(cart(real,Q140000),fun(fun(cart(real,Q140000),bool),bool)),in),s(cart(real,Q140000),Y))),s(fun(cart(real,Q140000),bool),S0)))) )+ => ? [C0] : s(cart(real,Q140000),i(s(fun(cart(real,Q140000),cart(real,Q140000)),i(s(fun(cart(real,Q140000),fun(cart(real,Q140000),cart(real,Q140000))),vectoru_sub),s(cart(real,Q140000),X))),s(cart(real,Q140000),Y))) = s(cart(real,Q140000),i(s(fun(cart(real,Q140000),cart(real,Q140000)),i(s(fun(real,fun(cart(real,Q140000),cart(real,Q140000))),r_),s(real,C0))),s(cart(real,Q140000),U))) ) ) )).++fof(aCOLLINEARu_SUBSET,axiom,(+ ! [Q140023,S0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q140023),bool),bool),collinear),s(fun(cart(real,Q140023),bool),T0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q140023),bool),bool),i(s(fun(fun(cart(real,Q140023),bool),fun(fun(cart(real,Q140023),bool),bool)),subset),s(fun(cart(real,Q140023),bool),S0))),s(fun(cart(real,Q140023),bool),T0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q140023),bool),bool),collinear),s(fun(cart(real,Q140023),bool),S0)))) ) )).++fof(aCOLLINEARu_EMPTY,axiom,(+ ! [Q140026] : p(s(bool,i(s(fun(fun(cart(real,Q140026),bool),bool),collinear),s(fun(cart(real,Q140026),bool),empty)))) )).++fof(aCOLLINEARu_SING,axiom,(+ ! [Q140034,X] : p(s(bool,i(s(fun(fun(cart(real,Q140034),bool),bool),collinear),s(fun(cart(real,Q140034),bool),i(s(fun(fun(cart(real,Q140034),bool),fun(cart(real,Q140034),bool)),i(s(fun(cart(real,Q140034),fun(fun(cart(real,Q140034),bool),fun(cart(real,Q140034),bool))),insert),s(cart(real,Q140034),X))),s(fun(cart(real,Q140034),bool),empty)))))) )).++fof(aCOLLINEARu_2,axiom,(+ ! [N,X,Y] : p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),Y))),s(fun(cart(real,N),bool),empty)))))))) )).++fof(aCOLLINEARu_SMALL,axiom,(+ ! [Q140117,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q140117),bool),bool),finite),s(fun(cart(real,Q140117),bool),S0))))+ & p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,Q140117),bool),num),card),s(fun(cart(real,Q140117),bool),S0))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q140117),bool),bool),collinear),s(fun(cart(real,Q140117),bool),S0)))) ) )).++fof(aCOLLINEARu_3,axiom,(+ ! [Q140276,X,Y,Z0] : s(bool,i(s(fun(fun(cart(real,Q140276),bool),bool),collinear),s(fun(cart(real,Q140276),bool),i(s(fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool)),i(s(fun(cart(real,Q140276),fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool))),insert),s(cart(real,Q140276),X))),s(fun(cart(real,Q140276),bool),i(s(fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool)),i(s(fun(cart(real,Q140276),fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool))),insert),s(cart(real,Q140276),Y))),s(fun(cart(real,Q140276),bool),i(s(fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool)),i(s(fun(cart(real,Q140276),fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool))),insert),s(cart(real,Q140276),Z0))),s(fun(cart(real,Q140276),bool),empty))))))))) = s(bool,i(s(fun(fun(cart(real,Q140276),bool),bool),collinear),s(fun(cart(real,Q140276),bool),i(s(fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool)),i(s(fun(cart(real,Q140276),fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool))),insert),s(cart(real,Q140276),i(s(fun(num,cart(real,Q140276)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,Q140276),bool),i(s(fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool)),i(s(fun(cart(real,Q140276),fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool))),insert),s(cart(real,Q140276),i(s(fun(cart(real,Q140276),cart(real,Q140276)),i(s(fun(cart(real,Q140276),fun(cart(real,Q140276),cart(real,Q140276))),vectoru_sub),s(cart(real,Q140276),X))),s(cart(real,Q140276),Y))))),s(fun(cart(real,Q140276),bool),i(s(fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool)),i(s(fun(cart(real,Q140276),fun(fun(cart(real,Q140276),bool),fun(cart(real,Q140276),bool))),insert),s(cart(real,Q140276),i(s(fun(cart(real,Q140276),cart(real,Q140276)),i(s(fun(cart(real,Q140276),fun(cart(real,Q140276),cart(real,Q140276))),vectoru_sub),s(cart(real,Q140276),Z0))),s(cart(real,Q140276),Y))))),s(fun(cart(real,Q140276),bool),empty))))))))) )).++fof(aCOLLINEARu_LEMMA,axiom,(+ ! [N,X,Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),Y))),s(fun(cart(real,N),bool),empty))))))))))+ <=> ( s(cart(real,N),X) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ | s(cart(real,N),Y) = s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ | ? [C0] : s(cart(real,N),Y) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),X))) ) ) )).++fof(aCOLLINEARu_LEMMAu_ALT,axiom,(+ ! [Q140433,X,Y] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q140433),bool),bool),collinear),s(fun(cart(real,Q140433),bool),i(s(fun(fun(cart(real,Q140433),bool),fun(cart(real,Q140433),bool)),i(s(fun(cart(real,Q140433),fun(fun(cart(real,Q140433),bool),fun(cart(real,Q140433),bool))),insert),s(cart(real,Q140433),i(s(fun(num,cart(real,Q140433)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,Q140433),bool),i(s(fun(fun(cart(real,Q140433),bool),fun(cart(real,Q140433),bool)),i(s(fun(cart(real,Q140433),fun(fun(cart(real,Q140433),bool),fun(cart(real,Q140433),bool))),insert),s(cart(real,Q140433),X))),s(fun(cart(real,Q140433),bool),i(s(fun(fun(cart(real,Q140433),bool),fun(cart(real,Q140433),bool)),i(s(fun(cart(real,Q140433),fun(fun(cart(real,Q140433),bool),fun(cart(real,Q140433),bool))),insert),s(cart(real,Q140433),Y))),s(fun(cart(real,Q140433),bool),empty))))))))))+ <=> ( s(cart(real,Q140433),X) = s(cart(real,Q140433),i(s(fun(num,cart(real,Q140433)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ | ? [C0] : s(cart(real,Q140433),Y) = s(cart(real,Q140433),i(s(fun(cart(real,Q140433),cart(real,Q140433)),i(s(fun(real,fun(cart(real,Q140433),cart(real,Q140433))),r_),s(real,C0))),s(cart(real,Q140433),X))) ) ) )).++fof(aNORMu_CAUCHYu_SCHWARZu_EQUAL,axiom,(+ ! [N,X,Y] :+ ( s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),Y))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),Y)))))+ <=> p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),Y))),s(fun(cart(real,N),bool),empty)))))))))) ) )).++fof(aDOTu_CAUCHYu_SCHWARZu_EQUAL,axiom,(+ ! [N,X,Y] :+ ( s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),Y))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X))))),s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),Y))),s(cart(real,N),Y)))))+ <=> p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),Y))),s(fun(cart(real,N),bool),empty)))))))))) ) )).++fof(aCOLLINEARu_3u_EXPAND,axiom,(+ ! [N,A5,B0,C0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),C0))),s(fun(cart(real,N),bool),empty))))))))))+ <=> ( s(cart(real,N),A5) = s(cart(real,N),C0)+ | ? [U] : s(cart(real,N),B0) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,U))),s(cart(real,N),A5))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,U))))),s(cart(real,N),C0))))) ) ) )).++fof(aCOLLINEARu_TRIPLES,axiom,(+ ! [N,S0,A5,B0] :+ ( s(cart(real,N),A5) != s(cart(real,N),B0)+ => ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),S0))))))))+ <=> ! [X] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),bool)),in),s(cart(real,N),X))),s(fun(cart(real,N),bool),S0))))+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),X))),s(fun(cart(real,N),bool),empty)))))))))) ) ) ) )).++fof(aCOLLINEARu_4u_3,axiom,(+ ! [N,A5,B0,C0,D0] :+ ( s(cart(real,N),A5) != s(cart(real,N),B0)+ => ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),C0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),D0))),s(fun(cart(real,N),bool),empty))))))))))))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),C0))),s(fun(cart(real,N),bool),empty))))))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),D0))),s(fun(cart(real,N),bool),empty)))))))))) ) ) ) )).++fof(aCOLLINEARu_3u_TRANS,axiom,(+ ! [N,A5,B0,C0,D0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),C0))),s(fun(cart(real,N),bool),empty))))))))))+ & p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),C0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),D0))),s(fun(cart(real,N),bool),empty))))))))))+ & s(cart(real,N),B0) != s(cart(real,N),C0) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),D0))),s(fun(cart(real,N),bool),empty)))))))))) ) )).++fof(aORTHOGONALu_TOu_ORTHOGONALu_2D,axiom,(+ ! [X,Y,Z0] :+ ( ( s(cart(real,n20),X) != s(cart(real,n20),i(s(fun(num,cart(real,n20)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))+ & p(s(bool,i(s(fun(cart(real,n20),bool),i(s(fun(cart(real,n20),fun(cart(real,n20),bool)),orthogonal),s(cart(real,n20),X))),s(cart(real,n20),Y))))+ & p(s(bool,i(s(fun(cart(real,n20),bool),i(s(fun(cart(real,n20),fun(cart(real,n20),bool)),orthogonal),s(cart(real,n20),X))),s(cart(real,n20),Z0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,n20),bool),bool),collinear),s(fun(cart(real,n20),bool),i(s(fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool)),i(s(fun(cart(real,n20),fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool))),insert),s(cart(real,n20),i(s(fun(num,cart(real,n20)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,n20),bool),i(s(fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool)),i(s(fun(cart(real,n20),fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool))),insert),s(cart(real,n20),Y))),s(fun(cart(real,n20),bool),i(s(fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool)),i(s(fun(cart(real,n20),fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool))),insert),s(cart(real,n20),Z0))),s(fun(cart(real,n20),bool),empty)))))))))) ) )).++fof(aCOLLINEARu_3u_2D,axiom,(+ ! [X,Y,Z0] :+ ( p(s(bool,i(s(fun(fun(cart(real,n20),bool),bool),collinear),s(fun(cart(real,n20),bool),i(s(fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool)),i(s(fun(cart(real,n20),fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool))),insert),s(cart(real,n20),X))),s(fun(cart(real,n20),bool),i(s(fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool)),i(s(fun(cart(real,n20),fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool))),insert),s(cart(real,n20),Y))),s(fun(cart(real,n20),bool),i(s(fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool)),i(s(fun(cart(real,n20),fun(fun(cart(real,n20),bool),fun(cart(real,n20),bool))),insert),s(cart(real,n20),Z0))),s(fun(cart(real,n20),bool),empty))))))))))+ <=> s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),Z0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),Y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),Y))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),Z0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,n20),fun(num,real)),d_),s(cart(real,n20),X))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))) ) )).++fof(abetween,axiom,(+ ! [Q141274,A5,X,B0] :+ ( p(s(bool,i(s(fun(prod(cart(real,Q141274),cart(real,Q141274)),bool),i(s(fun(cart(real,Q141274),fun(prod(cart(real,Q141274),cart(real,Q141274)),bool)),between),s(cart(real,Q141274),X))),s(prod(cart(real,Q141274),cart(real,Q141274)),i(s(fun(cart(real,Q141274),prod(cart(real,Q141274),cart(real,Q141274))),i(s(fun(cart(real,Q141274),fun(cart(real,Q141274),prod(cart(real,Q141274),cart(real,Q141274)))),c_),s(cart(real,Q141274),A5))),s(cart(real,Q141274),B0))))))+ <=> s(real,i(s(fun(prod(cart(real,Q141274),cart(real,Q141274)),real),distance),s(prod(cart(real,Q141274),cart(real,Q141274)),i(s(fun(cart(real,Q141274),prod(cart(real,Q141274),cart(real,Q141274))),i(s(fun(cart(real,Q141274),fun(cart(real,Q141274),prod(cart(real,Q141274),cart(real,Q141274)))),c_),s(cart(real,Q141274),A5))),s(cart(real,Q141274),B0))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(prod(cart(real,Q141274),cart(real,Q141274)),real),distance),s(prod(cart(real,Q141274),cart(real,Q141274)),i(s(fun(cart(real,Q141274),prod(cart(real,Q141274),cart(real,Q141274))),i(s(fun(cart(real,Q141274),fun(cart(real,Q141274),prod(cart(real,Q141274),cart(real,Q141274)))),c_),s(cart(real,Q141274),A5))),s(cart(real,Q141274),X))))))),s(real,i(s(fun(prod(cart(real,Q141274),cart(real,Q141274)),real),distance),s(prod(cart(real,Q141274),cart(real,Q141274)),i(s(fun(cart(real,Q141274),prod(cart(real,Q141274),cart(real,Q141274))),i(s(fun(cart(real,Q141274),fun(cart(real,Q141274),prod(cart(real,Q141274),cart(real,Q141274)))),c_),s(cart(real,Q141274),X))),s(cart(real,Q141274),B0))))))) ) )).++fof(aBETWEENu_REFL,axiom,(+ ! [Q141313,A5,B0] :+ ( p(s(bool,i(s(fun(prod(cart(real,Q141313),cart(real,Q141313)),bool),i(s(fun(cart(real,Q141313),fun(prod(cart(real,Q141313),cart(real,Q141313)),bool)),between),s(cart(real,Q141313),A5))),s(prod(cart(real,Q141313),cart(real,Q141313)),i(s(fun(cart(real,Q141313),prod(cart(real,Q141313),cart(real,Q141313))),i(s(fun(cart(real,Q141313),fun(cart(real,Q141313),prod(cart(real,Q141313),cart(real,Q141313)))),c_),s(cart(real,Q141313),A5))),s(cart(real,Q141313),B0))))))+ & p(s(bool,i(s(fun(prod(cart(real,Q141313),cart(real,Q141313)),bool),i(s(fun(cart(real,Q141313),fun(prod(cart(real,Q141313),cart(real,Q141313)),bool)),between),s(cart(real,Q141313),B0))),s(prod(cart(real,Q141313),cart(real,Q141313)),i(s(fun(cart(real,Q141313),prod(cart(real,Q141313),cart(real,Q141313))),i(s(fun(cart(real,Q141313),fun(cart(real,Q141313),prod(cart(real,Q141313),cart(real,Q141313)))),c_),s(cart(real,Q141313),A5))),s(cart(real,Q141313),B0))))))+ & p(s(bool,i(s(fun(prod(cart(real,Q141313),cart(real,Q141313)),bool),i(s(fun(cart(real,Q141313),fun(prod(cart(real,Q141313),cart(real,Q141313)),bool)),between),s(cart(real,Q141313),A5))),s(prod(cart(real,Q141313),cart(real,Q141313)),i(s(fun(cart(real,Q141313),prod(cart(real,Q141313),cart(real,Q141313))),i(s(fun(cart(real,Q141313),fun(cart(real,Q141313),prod(cart(real,Q141313),cart(real,Q141313)))),c_),s(cart(real,Q141313),A5))),s(cart(real,Q141313),A5)))))) ) )).++fof(aBETWEENu_REFLu_EQ,axiom,(+ ! [Q141347,A5,X] :+ ( p(s(bool,i(s(fun(prod(cart(real,Q141347),cart(real,Q141347)),bool),i(s(fun(cart(real,Q141347),fun(prod(cart(real,Q141347),cart(real,Q141347)),bool)),between),s(cart(real,Q141347),X))),s(prod(cart(real,Q141347),cart(real,Q141347)),i(s(fun(cart(real,Q141347),prod(cart(real,Q141347),cart(real,Q141347))),i(s(fun(cart(real,Q141347),fun(cart(real,Q141347),prod(cart(real,Q141347),cart(real,Q141347)))),c_),s(cart(real,Q141347),A5))),s(cart(real,Q141347),A5))))))+ <=> s(cart(real,Q141347),X) = s(cart(real,Q141347),A5) ) )).++fof(aBETWEENu_SYM,axiom,(+ ! [Q141372,A5,B0,X] : s(bool,i(s(fun(prod(cart(real,Q141372),cart(real,Q141372)),bool),i(s(fun(cart(real,Q141372),fun(prod(cart(real,Q141372),cart(real,Q141372)),bool)),between),s(cart(real,Q141372),X))),s(prod(cart(real,Q141372),cart(real,Q141372)),i(s(fun(cart(real,Q141372),prod(cart(real,Q141372),cart(real,Q141372))),i(s(fun(cart(real,Q141372),fun(cart(real,Q141372),prod(cart(real,Q141372),cart(real,Q141372)))),c_),s(cart(real,Q141372),A5))),s(cart(real,Q141372),B0))))) = s(bool,i(s(fun(prod(cart(real,Q141372),cart(real,Q141372)),bool),i(s(fun(cart(real,Q141372),fun(prod(cart(real,Q141372),cart(real,Q141372)),bool)),between),s(cart(real,Q141372),X))),s(prod(cart(real,Q141372),cart(real,Q141372)),i(s(fun(cart(real,Q141372),prod(cart(real,Q141372),cart(real,Q141372))),i(s(fun(cart(real,Q141372),fun(cart(real,Q141372),prod(cart(real,Q141372),cart(real,Q141372)))),c_),s(cart(real,Q141372),B0))),s(cart(real,Q141372),A5))))) )).++fof(aBETWEENu_ANTISYM,axiom,(+ ! [Q141403,A5,B0,C0] :+ ( ( p(s(bool,i(s(fun(prod(cart(real,Q141403),cart(real,Q141403)),bool),i(s(fun(cart(real,Q141403),fun(prod(cart(real,Q141403),cart(real,Q141403)),bool)),between),s(cart(real,Q141403),A5))),s(prod(cart(real,Q141403),cart(real,Q141403)),i(s(fun(cart(real,Q141403),prod(cart(real,Q141403),cart(real,Q141403))),i(s(fun(cart(real,Q141403),fun(cart(real,Q141403),prod(cart(real,Q141403),cart(real,Q141403)))),c_),s(cart(real,Q141403),B0))),s(cart(real,Q141403),C0))))))+ & p(s(bool,i(s(fun(prod(cart(real,Q141403),cart(real,Q141403)),bool),i(s(fun(cart(real,Q141403),fun(prod(cart(real,Q141403),cart(real,Q141403)),bool)),between),s(cart(real,Q141403),B0))),s(prod(cart(real,Q141403),cart(real,Q141403)),i(s(fun(cart(real,Q141403),prod(cart(real,Q141403),cart(real,Q141403))),i(s(fun(cart(real,Q141403),fun(cart(real,Q141403),prod(cart(real,Q141403),cart(real,Q141403)))),c_),s(cart(real,Q141403),A5))),s(cart(real,Q141403),C0)))))) )+ => s(cart(real,Q141403),A5) = s(cart(real,Q141403),B0) ) )).++fof(aBETWEENu_TRANS,axiom,(+ ! [Q141441,A5,B0,C0,D0] :+ ( ( p(s(bool,i(s(fun(prod(cart(real,Q141441),cart(real,Q141441)),bool),i(s(fun(cart(real,Q141441),fun(prod(cart(real,Q141441),cart(real,Q141441)),bool)),between),s(cart(real,Q141441),A5))),s(prod(cart(real,Q141441),cart(real,Q141441)),i(s(fun(cart(real,Q141441),prod(cart(real,Q141441),cart(real,Q141441))),i(s(fun(cart(real,Q141441),fun(cart(real,Q141441),prod(cart(real,Q141441),cart(real,Q141441)))),c_),s(cart(real,Q141441),B0))),s(cart(real,Q141441),C0))))))+ & p(s(bool,i(s(fun(prod(cart(real,Q141441),cart(real,Q141441)),bool),i(s(fun(cart(real,Q141441),fun(prod(cart(real,Q141441),cart(real,Q141441)),bool)),between),s(cart(real,Q141441),D0))),s(prod(cart(real,Q141441),cart(real,Q141441)),i(s(fun(cart(real,Q141441),prod(cart(real,Q141441),cart(real,Q141441))),i(s(fun(cart(real,Q141441),fun(cart(real,Q141441),prod(cart(real,Q141441),cart(real,Q141441)))),c_),s(cart(real,Q141441),A5))),s(cart(real,Q141441),C0)))))) )+ => p(s(bool,i(s(fun(prod(cart(real,Q141441),cart(real,Q141441)),bool),i(s(fun(cart(real,Q141441),fun(prod(cart(real,Q141441),cart(real,Q141441)),bool)),between),s(cart(real,Q141441),D0))),s(prod(cart(real,Q141441),cart(real,Q141441)),i(s(fun(cart(real,Q141441),prod(cart(real,Q141441),cart(real,Q141441))),i(s(fun(cart(real,Q141441),fun(cart(real,Q141441),prod(cart(real,Q141441),cart(real,Q141441)))),c_),s(cart(real,Q141441),B0))),s(cart(real,Q141441),C0)))))) ) )).++fof(aBETWEENu_TRANSu_2,axiom,(+ ! [Q141483,A5,B0,C0,D0] :+ ( ( p(s(bool,i(s(fun(prod(cart(real,Q141483),cart(real,Q141483)),bool),i(s(fun(cart(real,Q141483),fun(prod(cart(real,Q141483),cart(real,Q141483)),bool)),between),s(cart(real,Q141483),A5))),s(prod(cart(real,Q141483),cart(real,Q141483)),i(s(fun(cart(real,Q141483),prod(cart(real,Q141483),cart(real,Q141483))),i(s(fun(cart(real,Q141483),fun(cart(real,Q141483),prod(cart(real,Q141483),cart(real,Q141483)))),c_),s(cart(real,Q141483),B0))),s(cart(real,Q141483),C0))))))+ & p(s(bool,i(s(fun(prod(cart(real,Q141483),cart(real,Q141483)),bool),i(s(fun(cart(real,Q141483),fun(prod(cart(real,Q141483),cart(real,Q141483)),bool)),between),s(cart(real,Q141483),D0))),s(prod(cart(real,Q141483),cart(real,Q141483)),i(s(fun(cart(real,Q141483),prod(cart(real,Q141483),cart(real,Q141483))),i(s(fun(cart(real,Q141483),fun(cart(real,Q141483),prod(cart(real,Q141483),cart(real,Q141483)))),c_),s(cart(real,Q141483),A5))),s(cart(real,Q141483),B0)))))) )+ => p(s(bool,i(s(fun(prod(cart(real,Q141483),cart(real,Q141483)),bool),i(s(fun(cart(real,Q141483),fun(prod(cart(real,Q141483),cart(real,Q141483)),bool)),between),s(cart(real,Q141483),A5))),s(prod(cart(real,Q141483),cart(real,Q141483)),i(s(fun(cart(real,Q141483),prod(cart(real,Q141483),cart(real,Q141483))),i(s(fun(cart(real,Q141483),fun(cart(real,Q141483),prod(cart(real,Q141483),cart(real,Q141483)))),c_),s(cart(real,Q141483),C0))),s(cart(real,Q141483),D0)))))) ) )).++fof(aBETWEENu_NORM,axiom,(+ ! [N,A5,B0,X] :+ ( p(s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(cart(real,N),fun(prod(cart(real,N),cart(real,N)),bool)),between),s(cart(real,N),X))),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),B0))))))+ <=> s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),X))),s(cart(real,N),A5))))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),B0))),s(cart(real,N),X))))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),B0))),s(cart(real,N),X))))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),X))),s(cart(real,N),A5))))) ) )).++fof(aBETWEENu_DOT,axiom,(+ ! [N,A5,B0,X] :+ ( p(s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(cart(real,N),fun(prod(cart(real,N),cart(real,N)),bool)),between),s(cart(real,N),X))),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),B0))))))+ <=> s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),X))),s(cart(real,N),A5))))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),B0))),s(cart(real,N),X))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),X))),s(cart(real,N),A5))))))),s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),B0))),s(cart(real,N),X))))))) ) )).++fof(aBETWEENu_EXISTSu_EXTENSION,axiom,(+ ! [N,A5,B0,X] :+ ( ( p(s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(cart(real,N),fun(prod(cart(real,N),cart(real,N)),bool)),between),s(cart(real,N),B0))),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),X))))))+ & s(cart(real,N),B0) != s(cart(real,N),A5) )+ => ? [D0] :+ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,D0))))+ & s(cart(real,N),X) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),B0))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,D0))),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_sub),s(cart(real,N),B0))),s(cart(real,N),A5))))))) ) ) )).++fof(aBETWEENu_IMPu_COLLINEAR,axiom,(+ ! [N,A5,B0,X] :+ ( p(s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(cart(real,N),fun(prod(cart(real,N),cart(real,N)),bool)),between),s(cart(real,N),X))),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),B0))))))+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),empty)))))))))) ) )).++fof(aCOLLINEARu_BETWEENu_CASES,axiom,(+ ! [N,A5,B0,C0] :+ ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),C0))),s(fun(cart(real,N),bool),empty))))))))))+ <=> ( p(s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(cart(real,N),fun(prod(cart(real,N),cart(real,N)),bool)),between),s(cart(real,N),A5))),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),B0))),s(cart(real,N),C0))))))+ | p(s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(cart(real,N),fun(prod(cart(real,N),cart(real,N)),bool)),between),s(cart(real,N),B0))),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),C0))),s(cart(real,N),A5))))))+ | p(s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(cart(real,N),fun(prod(cart(real,N),cart(real,N)),bool)),between),s(cart(real,N),C0))),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),B0)))))) ) ) )).++fof(aCOLLINEARu_DISTu_BETWEEN,axiom,(+ ! [Q142205,A5,B0,X] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q142205),bool),bool),collinear),s(fun(cart(real,Q142205),bool),i(s(fun(fun(cart(real,Q142205),bool),fun(cart(real,Q142205),bool)),i(s(fun(cart(real,Q142205),fun(fun(cart(real,Q142205),bool),fun(cart(real,Q142205),bool))),insert),s(cart(real,Q142205),X))),s(fun(cart(real,Q142205),bool),i(s(fun(fun(cart(real,Q142205),bool),fun(cart(real,Q142205),bool)),i(s(fun(cart(real,Q142205),fun(fun(cart(real,Q142205),bool),fun(cart(real,Q142205),bool))),insert),s(cart(real,Q142205),A5))),s(fun(cart(real,Q142205),bool),i(s(fun(fun(cart(real,Q142205),bool),fun(cart(real,Q142205),bool)),i(s(fun(cart(real,Q142205),fun(fun(cart(real,Q142205),bool),fun(cart(real,Q142205),bool))),insert),s(cart(real,Q142205),B0))),s(fun(cart(real,Q142205),bool),empty))))))))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(prod(cart(real,Q142205),cart(real,Q142205)),real),distance),s(prod(cart(real,Q142205),cart(real,Q142205)),i(s(fun(cart(real,Q142205),prod(cart(real,Q142205),cart(real,Q142205))),i(s(fun(cart(real,Q142205),fun(cart(real,Q142205),prod(cart(real,Q142205),cart(real,Q142205)))),c_),s(cart(real,Q142205),X))),s(cart(real,Q142205),A5))))))),s(real,i(s(fun(prod(cart(real,Q142205),cart(real,Q142205)),real),distance),s(prod(cart(real,Q142205),cart(real,Q142205)),i(s(fun(cart(real,Q142205),prod(cart(real,Q142205),cart(real,Q142205))),i(s(fun(cart(real,Q142205),fun(cart(real,Q142205),prod(cart(real,Q142205),cart(real,Q142205)))),c_),s(cart(real,Q142205),A5))),s(cart(real,Q142205),B0))))))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(prod(cart(real,Q142205),cart(real,Q142205)),real),distance),s(prod(cart(real,Q142205),cart(real,Q142205)),i(s(fun(cart(real,Q142205),prod(cart(real,Q142205),cart(real,Q142205))),i(s(fun(cart(real,Q142205),fun(cart(real,Q142205),prod(cart(real,Q142205),cart(real,Q142205)))),c_),s(cart(real,Q142205),X))),s(cart(real,Q142205),B0))))))),s(real,i(s(fun(prod(cart(real,Q142205),cart(real,Q142205)),real),distance),s(prod(cart(real,Q142205),cart(real,Q142205)),i(s(fun(cart(real,Q142205),prod(cart(real,Q142205),cart(real,Q142205))),i(s(fun(cart(real,Q142205),fun(cart(real,Q142205),prod(cart(real,Q142205),cart(real,Q142205)))),c_),s(cart(real,Q142205),A5))),s(cart(real,Q142205),B0)))))))) )+ => p(s(bool,i(s(fun(prod(cart(real,Q142205),cart(real,Q142205)),bool),i(s(fun(cart(real,Q142205),fun(prod(cart(real,Q142205),cart(real,Q142205)),bool)),between),s(cart(real,Q142205),X))),s(prod(cart(real,Q142205),cart(real,Q142205)),i(s(fun(cart(real,Q142205),prod(cart(real,Q142205),cart(real,Q142205))),i(s(fun(cart(real,Q142205),fun(cart(real,Q142205),prod(cart(real,Q142205),cart(real,Q142205)))),c_),s(cart(real,Q142205),A5))),s(cart(real,Q142205),B0)))))) ) )).++fof(aBETWEENu_COLLINEARu_DISTu_EQ,axiom,(+ ! [N,A5,B0,X] :+ ( p(s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(cart(real,N),fun(prod(cart(real,N),cart(real,N)),bool)),between),s(cart(real,N),X))),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),B0))))))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),X))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),empty))))))))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),X))),s(cart(real,N),A5))))))),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),B0))))))))+ & p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),X))),s(cart(real,N),B0))))))),s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),B0)))))))) ) ) )).++fof(aCOLLINEARu_1,axiom,(+ ! [S0] : p(s(bool,i(s(fun(fun(cart(real,n10),bool),bool),collinear),s(fun(cart(real,n10),bool),S0)))) )).++fof(amidpoint,axiom,(+ ! [Q142377,A5,B0] : s(cart(real,Q142377),i(s(fun(prod(cart(real,Q142377),cart(real,Q142377)),cart(real,Q142377)),midpoint),s(prod(cart(real,Q142377),cart(real,Q142377)),i(s(fun(cart(real,Q142377),prod(cart(real,Q142377),cart(real,Q142377))),i(s(fun(cart(real,Q142377),fun(cart(real,Q142377),prod(cart(real,Q142377),cart(real,Q142377)))),c_),s(cart(real,Q142377),A5))),s(cart(real,Q142377),B0))))) = s(cart(real,Q142377),i(s(fun(cart(real,Q142377),cart(real,Q142377)),i(s(fun(real,fun(cart(real,Q142377),cart(real,Q142377))),r_),s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),s(cart(real,Q142377),i(s(fun(cart(real,Q142377),cart(real,Q142377)),i(s(fun(cart(real,Q142377),fun(cart(real,Q142377),cart(real,Q142377))),vectoru_add),s(cart(real,Q142377),A5))),s(cart(real,Q142377),B0))))) )).++fof(aMIDPOINTu_REFL,axiom,(+ ! [Q142390,X] : s(cart(real,Q142390),i(s(fun(prod(cart(real,Q142390),cart(real,Q142390)),cart(real,Q142390)),midpoint),s(prod(cart(real,Q142390),cart(real,Q142390)),i(s(fun(cart(real,Q142390),prod(cart(real,Q142390),cart(real,Q142390))),i(s(fun(cart(real,Q142390),fun(cart(real,Q142390),prod(cart(real,Q142390),cart(real,Q142390)))),c_),s(cart(real,Q142390),X))),s(cart(real,Q142390),X))))) = s(cart(real,Q142390),X) )).++fof(aMIDPOINTu_SYM,axiom,(+ ! [Q142414,A5,B0] : s(cart(real,Q142414),i(s(fun(prod(cart(real,Q142414),cart(real,Q142414)),cart(real,Q142414)),midpoint),s(prod(cart(real,Q142414),cart(real,Q142414)),i(s(fun(cart(real,Q142414),prod(cart(real,Q142414),cart(real,Q142414))),i(s(fun(cart(real,Q142414),fun(cart(real,Q142414),prod(cart(real,Q142414),cart(real,Q142414)))),c_),s(cart(real,Q142414),A5))),s(cart(real,Q142414),B0))))) = s(cart(real,Q142414),i(s(fun(prod(cart(real,Q142414),cart(real,Q142414)),cart(real,Q142414)),midpoint),s(prod(cart(real,Q142414),cart(real,Q142414)),i(s(fun(cart(real,Q142414),prod(cart(real,Q142414),cart(real,Q142414))),i(s(fun(cart(real,Q142414),fun(cart(real,Q142414),prod(cart(real,Q142414),cart(real,Q142414)))),c_),s(cart(real,Q142414),B0))),s(cart(real,Q142414),A5))))) )).++fof(aDISTu_MIDPOINT,axiom,(+ ! [Q142467,A5,B0] :+ ( s(real,i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),real),distance),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),A5))),s(cart(real,Q142467),i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),cart(real,Q142467)),midpoint),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),A5))),s(cart(real,Q142467),B0))))))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),real),distance),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),A5))),s(cart(real,Q142467),B0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))+ & s(real,i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),real),distance),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),B0))),s(cart(real,Q142467),i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),cart(real,Q142467)),midpoint),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),A5))),s(cart(real,Q142467),B0))))))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),real),distance),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),A5))),s(cart(real,Q142467),B0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))+ & s(real,i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),real),distance),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),cart(real,Q142467)),midpoint),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),A5))),s(cart(real,Q142467),B0))))))),s(cart(real,Q142467),A5))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),real),distance),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),A5))),s(cart(real,Q142467),B0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))+ & s(real,i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),real),distance),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),cart(real,Q142467)),midpoint),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),A5))),s(cart(real,Q142467),B0))))))),s(cart(real,Q142467),B0))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,i(s(fun(prod(cart(real,Q142467),cart(real,Q142467)),real),distance),s(prod(cart(real,Q142467),cart(real,Q142467)),i(s(fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467))),i(s(fun(cart(real,Q142467),fun(cart(real,Q142467),prod(cart(real,Q142467),cart(real,Q142467)))),c_),s(cart(real,Q142467),A5))),s(cart(real,Q142467),B0))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) ) )).++fof(aMIDPOINTu_EQu_ENDPOINT,axiom,(+ ! [Q142613,A5,B0] :+ ( ( s(cart(real,Q142613),i(s(fun(prod(cart(real,Q142613),cart(real,Q142613)),cart(real,Q142613)),midpoint),s(prod(cart(real,Q142613),cart(real,Q142613)),i(s(fun(cart(real,Q142613),prod(cart(real,Q142613),cart(real,Q142613))),i(s(fun(cart(real,Q142613),fun(cart(real,Q142613),prod(cart(real,Q142613),cart(real,Q142613)))),c_),s(cart(real,Q142613),A5))),s(cart(real,Q142613),B0))))) = s(cart(real,Q142613),A5)+ <=> s(cart(real,Q142613),A5) = s(cart(real,Q142613),B0) )+ & ( s(cart(real,Q142613),i(s(fun(prod(cart(real,Q142613),cart(real,Q142613)),cart(real,Q142613)),midpoint),s(prod(cart(real,Q142613),cart(real,Q142613)),i(s(fun(cart(real,Q142613),prod(cart(real,Q142613),cart(real,Q142613))),i(s(fun(cart(real,Q142613),fun(cart(real,Q142613),prod(cart(real,Q142613),cart(real,Q142613)))),c_),s(cart(real,Q142613),A5))),s(cart(real,Q142613),B0))))) = s(cart(real,Q142613),B0)+ <=> s(cart(real,Q142613),A5) = s(cart(real,Q142613),B0) )+ & ( s(cart(real,Q142613),A5) = s(cart(real,Q142613),i(s(fun(prod(cart(real,Q142613),cart(real,Q142613)),cart(real,Q142613)),midpoint),s(prod(cart(real,Q142613),cart(real,Q142613)),i(s(fun(cart(real,Q142613),prod(cart(real,Q142613),cart(real,Q142613))),i(s(fun(cart(real,Q142613),fun(cart(real,Q142613),prod(cart(real,Q142613),cart(real,Q142613)))),c_),s(cart(real,Q142613),A5))),s(cart(real,Q142613),B0)))))+ <=> s(cart(real,Q142613),A5) = s(cart(real,Q142613),B0) )+ & ( s(cart(real,Q142613),B0) = s(cart(real,Q142613),i(s(fun(prod(cart(real,Q142613),cart(real,Q142613)),cart(real,Q142613)),midpoint),s(prod(cart(real,Q142613),cart(real,Q142613)),i(s(fun(cart(real,Q142613),prod(cart(real,Q142613),cart(real,Q142613))),i(s(fun(cart(real,Q142613),fun(cart(real,Q142613),prod(cart(real,Q142613),cart(real,Q142613)))),c_),s(cart(real,Q142613),A5))),s(cart(real,Q142613),B0)))))+ <=> s(cart(real,Q142613),A5) = s(cart(real,Q142613),B0) ) ) )).++fof(aBETWEENu_MIDPOINT,axiom,(+ ! [Q142636,A5,B0] :+ ( p(s(bool,i(s(fun(prod(cart(real,Q142636),cart(real,Q142636)),bool),i(s(fun(cart(real,Q142636),fun(prod(cart(real,Q142636),cart(real,Q142636)),bool)),between),s(cart(real,Q142636),i(s(fun(prod(cart(real,Q142636),cart(real,Q142636)),cart(real,Q142636)),midpoint),s(prod(cart(real,Q142636),cart(real,Q142636)),i(s(fun(cart(real,Q142636),prod(cart(real,Q142636),cart(real,Q142636))),i(s(fun(cart(real,Q142636),fun(cart(real,Q142636),prod(cart(real,Q142636),cart(real,Q142636)))),c_),s(cart(real,Q142636),A5))),s(cart(real,Q142636),B0))))))),s(prod(cart(real,Q142636),cart(real,Q142636)),i(s(fun(cart(real,Q142636),prod(cart(real,Q142636),cart(real,Q142636))),i(s(fun(cart(real,Q142636),fun(cart(real,Q142636),prod(cart(real,Q142636),cart(real,Q142636)))),c_),s(cart(real,Q142636),A5))),s(cart(real,Q142636),B0))))))+ & p(s(bool,i(s(fun(prod(cart(real,Q142636),cart(real,Q142636)),bool),i(s(fun(cart(real,Q142636),fun(prod(cart(real,Q142636),cart(real,Q142636)),bool)),between),s(cart(real,Q142636),i(s(fun(prod(cart(real,Q142636),cart(real,Q142636)),cart(real,Q142636)),midpoint),s(prod(cart(real,Q142636),cart(real,Q142636)),i(s(fun(cart(real,Q142636),prod(cart(real,Q142636),cart(real,Q142636))),i(s(fun(cart(real,Q142636),fun(cart(real,Q142636),prod(cart(real,Q142636),cart(real,Q142636)))),c_),s(cart(real,Q142636),A5))),s(cart(real,Q142636),B0))))))),s(prod(cart(real,Q142636),cart(real,Q142636)),i(s(fun(cart(real,Q142636),prod(cart(real,Q142636),cart(real,Q142636))),i(s(fun(cart(real,Q142636),fun(cart(real,Q142636),prod(cart(real,Q142636),cart(real,Q142636)))),c_),s(cart(real,Q142636),B0))),s(cart(real,Q142636),A5)))))) ) )).++fof(aMIDPOINTu_LINEARu_IMAGE,axiom,(+ ! [Q142675,Q142689,F0,A5,B0] :+ ( p(s(bool,i(s(fun(fun(cart(real,Q142689),cart(real,Q142675)),bool),linear),s(fun(cart(real,Q142689),cart(real,Q142675)),F0))))+ => s(cart(real,Q142675),i(s(fun(prod(cart(real,Q142675),cart(real,Q142675)),cart(real,Q142675)),midpoint),s(prod(cart(real,Q142675),cart(real,Q142675)),i(s(fun(cart(real,Q142675),prod(cart(real,Q142675),cart(real,Q142675))),i(s(fun(cart(real,Q142675),fun(cart(real,Q142675),prod(cart(real,Q142675),cart(real,Q142675)))),c_),s(cart(real,Q142675),i(s(fun(cart(real,Q142689),cart(real,Q142675)),F0),s(cart(real,Q142689),A5))))),s(cart(real,Q142675),i(s(fun(cart(real,Q142689),cart(real,Q142675)),F0),s(cart(real,Q142689),B0))))))) = s(cart(real,Q142675),i(s(fun(cart(real,Q142689),cart(real,Q142675)),F0),s(cart(real,Q142689),i(s(fun(prod(cart(real,Q142689),cart(real,Q142689)),cart(real,Q142689)),midpoint),s(prod(cart(real,Q142689),cart(real,Q142689)),i(s(fun(cart(real,Q142689),prod(cart(real,Q142689),cart(real,Q142689))),i(s(fun(cart(real,Q142689),fun(cart(real,Q142689),prod(cart(real,Q142689),cart(real,Q142689)))),c_),s(cart(real,Q142689),A5))),s(cart(real,Q142689),B0))))))) ) )).++fof(aCOLLINEARu_MIDPOINT,axiom,(+ ! [Q142719,A5,B0] : p(s(bool,i(s(fun(fun(cart(real,Q142719),bool),bool),collinear),s(fun(cart(real,Q142719),bool),i(s(fun(fun(cart(real,Q142719),bool),fun(cart(real,Q142719),bool)),i(s(fun(cart(real,Q142719),fun(fun(cart(real,Q142719),bool),fun(cart(real,Q142719),bool))),insert),s(cart(real,Q142719),A5))),s(fun(cart(real,Q142719),bool),i(s(fun(fun(cart(real,Q142719),bool),fun(cart(real,Q142719),bool)),i(s(fun(cart(real,Q142719),fun(fun(cart(real,Q142719),bool),fun(cart(real,Q142719),bool))),insert),s(cart(real,Q142719),i(s(fun(prod(cart(real,Q142719),cart(real,Q142719)),cart(real,Q142719)),midpoint),s(prod(cart(real,Q142719),cart(real,Q142719)),i(s(fun(cart(real,Q142719),prod(cart(real,Q142719),cart(real,Q142719))),i(s(fun(cart(real,Q142719),fun(cart(real,Q142719),prod(cart(real,Q142719),cart(real,Q142719)))),c_),s(cart(real,Q142719),A5))),s(cart(real,Q142719),B0))))))),s(fun(cart(real,Q142719),bool),i(s(fun(fun(cart(real,Q142719),bool),fun(cart(real,Q142719),bool)),i(s(fun(cart(real,Q142719),fun(fun(cart(real,Q142719),bool),fun(cart(real,Q142719),bool))),insert),s(cart(real,Q142719),B0))),s(fun(cart(real,Q142719),bool),empty)))))))))) )).++fof(aMIDPOINTu_COLLINEAR,axiom,(+ ! [N,A5,B0,C0] :+ ( s(cart(real,N),A5) != s(cart(real,N),C0)+ => ( s(cart(real,N),B0) = s(cart(real,N),i(s(fun(prod(cart(real,N),cart(real,N)),cart(real,N)),midpoint),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),C0)))))+ <=> ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),collinear),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),A5))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),B0))),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(cart(real,N),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),insert),s(cart(real,N),C0))),s(fun(cart(real,N),bool),empty))))))))))+ & s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),B0))))) = s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),B0))),s(cart(real,N),C0))))) ) ) ) )).++fof(aMIDPOINTu_BETWEEN,axiom,(+ ! [N,A5,B0,C0] :+ ( s(cart(real,N),B0) = s(cart(real,N),i(s(fun(prod(cart(real,N),cart(real,N)),cart(real,N)),midpoint),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),C0)))))+ <=> ( p(s(bool,i(s(fun(prod(cart(real,N),cart(real,N)),bool),i(s(fun(cart(real,N),fun(prod(cart(real,N),cart(real,N)),bool)),between),s(cart(real,N),B0))),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),C0))))))+ & s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),A5))),s(cart(real,N),B0))))) = s(real,i(s(fun(prod(cart(real,N),cart(real,N)),real),distance),s(prod(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),prod(cart(real,N),cart(real,N))),i(s(fun(cart(real,N),fun(cart(real,N),prod(cart(real,N),cart(real,N)))),c_),s(cart(real,N),B0))),s(cart(real,N),C0))))) ) ) )).++fof(aWLOGu_LINEARu_INJECTIVEu_IMAGEu_2,axiom,(+ ! [N,M,P0,Q0] :+ ( ( ! [F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),P0),s(fun(cart(real,M),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),Q0),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0)))))) )+ & ! [G0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),Q0),s(fun(cart(real,N),bool),T0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),cart(real,M)),bool),linear),s(fun(cart(real,N),cart(real,M)),G0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,M),bool),bool),P0),s(fun(cart(real,M),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,M),bool)),i(s(fun(fun(cart(real,N),cart(real,M)),fun(fun(cart(real,N),bool),fun(cart(real,M),bool))),image),s(fun(cart(real,N),cart(real,M)),G0))),s(fun(cart(real,N),bool),T0)))))) ) )+ => ! [F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) ) )+ => ! [S0] : s(bool,i(s(fun(fun(cart(real,N),bool),bool),Q0),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,M),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,M),cart(real,N)),fun(fun(cart(real,M),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,M),cart(real,N)),F0))),s(fun(cart(real,M),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,M),bool),bool),P0),s(fun(cart(real,M),bool),S0))) ) ) )).++fof(aWLOGu_LINEARu_INJECTIVEu_IMAGEu_2u_ALT,axiom,(+ ! [Q143197,Q143187,P0,Q0,F0,S0] :+ ( ( ! [H0,U] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q143187),bool),bool),P0),s(fun(cart(real,Q143187),bool),U))))+ & p(s(bool,i(s(fun(fun(cart(real,Q143187),cart(real,Q143197)),bool),linear),s(fun(cart(real,Q143187),cart(real,Q143197)),H0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q143197),bool),bool),Q0),s(fun(cart(real,Q143197),bool),i(s(fun(fun(cart(real,Q143187),bool),fun(cart(real,Q143197),bool)),i(s(fun(fun(cart(real,Q143187),cart(real,Q143197)),fun(fun(cart(real,Q143187),bool),fun(cart(real,Q143197),bool))),image),s(fun(cart(real,Q143187),cart(real,Q143197)),H0))),s(fun(cart(real,Q143187),bool),U)))))) )+ & ! [G0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q143197),bool),bool),Q0),s(fun(cart(real,Q143197),bool),T0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q143197),cart(real,Q143187)),bool),linear),s(fun(cart(real,Q143197),cart(real,Q143187)),G0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q143187),bool),bool),P0),s(fun(cart(real,Q143187),bool),i(s(fun(fun(cart(real,Q143197),bool),fun(cart(real,Q143187),bool)),i(s(fun(fun(cart(real,Q143197),cart(real,Q143187)),fun(fun(cart(real,Q143197),bool),fun(cart(real,Q143187),bool))),image),s(fun(cart(real,Q143197),cart(real,Q143187)),G0))),s(fun(cart(real,Q143197),bool),T0)))))) )+ & p(s(bool,i(s(fun(fun(cart(real,Q143187),cart(real,Q143197)),bool),linear),s(fun(cart(real,Q143187),cart(real,Q143197)),F0))))+ & ! [X,Y] :+ ( s(cart(real,Q143197),i(s(fun(cart(real,Q143187),cart(real,Q143197)),F0),s(cart(real,Q143187),X))) = s(cart(real,Q143197),i(s(fun(cart(real,Q143187),cart(real,Q143197)),F0),s(cart(real,Q143187),Y)))+ => s(cart(real,Q143187),X) = s(cart(real,Q143187),Y) ) )+ => s(bool,i(s(fun(fun(cart(real,Q143197),bool),bool),Q0),s(fun(cart(real,Q143197),bool),i(s(fun(fun(cart(real,Q143187),bool),fun(cart(real,Q143197),bool)),i(s(fun(fun(cart(real,Q143187),cart(real,Q143197)),fun(fun(cart(real,Q143187),bool),fun(cart(real,Q143197),bool))),image),s(fun(cart(real,Q143187),cart(real,Q143197)),F0))),s(fun(cart(real,Q143187),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,Q143187),bool),bool),P0),s(fun(cart(real,Q143187),bool),S0))) ) )).++fof(aWLOGu_LINEARu_INJECTIVEu_IMAGE,axiom,(+ ! [N,P0] :+ ( ! [F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),P0),s(fun(cart(real,N),bool),S0))))+ & p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,N),bool),bool),P0),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,N),cart(real,N)),F0))),s(fun(cart(real,N),bool),S0)))))) )+ => ! [F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),F0),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) ) )+ => ! [S0] : s(bool,i(s(fun(fun(cart(real,N),bool),bool),P0),s(fun(cart(real,N),bool),i(s(fun(fun(cart(real,N),bool),fun(cart(real,N),bool)),i(s(fun(fun(cart(real,N),cart(real,N)),fun(fun(cart(real,N),bool),fun(cart(real,N),bool))),image),s(fun(cart(real,N),cart(real,N)),F0))),s(fun(cart(real,N),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,N),bool),bool),P0),s(fun(cart(real,N),bool),S0))) ) ) )).++fof(aWLOGu_LINEARu_INJECTIVEu_IMAGEu_ALT,axiom,(+ ! [Q143335,P0,F0,S0] :+ ( ( ! [G0,T0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q143335),bool),bool),P0),s(fun(cart(real,Q143335),bool),T0))))+ & p(s(bool,i(s(fun(fun(cart(real,Q143335),cart(real,Q143335)),bool),linear),s(fun(cart(real,Q143335),cart(real,Q143335)),G0)))) )+ => p(s(bool,i(s(fun(fun(cart(real,Q143335),bool),bool),P0),s(fun(cart(real,Q143335),bool),i(s(fun(fun(cart(real,Q143335),bool),fun(cart(real,Q143335),bool)),i(s(fun(fun(cart(real,Q143335),cart(real,Q143335)),fun(fun(cart(real,Q143335),bool),fun(cart(real,Q143335),bool))),image),s(fun(cart(real,Q143335),cart(real,Q143335)),G0))),s(fun(cart(real,Q143335),bool),T0)))))) )+ & p(s(bool,i(s(fun(fun(cart(real,Q143335),cart(real,Q143335)),bool),linear),s(fun(cart(real,Q143335),cart(real,Q143335)),F0))))+ & ! [X,Y] :+ ( s(cart(real,Q143335),i(s(fun(cart(real,Q143335),cart(real,Q143335)),F0),s(cart(real,Q143335),X))) = s(cart(real,Q143335),i(s(fun(cart(real,Q143335),cart(real,Q143335)),F0),s(cart(real,Q143335),Y)))+ => s(cart(real,Q143335),X) = s(cart(real,Q143335),Y) ) )+ => s(bool,i(s(fun(fun(cart(real,Q143335),bool),bool),P0),s(fun(cart(real,Q143335),bool),i(s(fun(fun(cart(real,Q143335),bool),fun(cart(real,Q143335),bool)),i(s(fun(fun(cart(real,Q143335),cart(real,Q143335)),fun(fun(cart(real,Q143335),bool),fun(cart(real,Q143335),bool))),image),s(fun(cart(real,Q143335),cart(real,Q143335)),F0))),s(fun(cart(real,Q143335),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,Q143335),bool),bool),P0),s(fun(cart(real,Q143335),bool),S0))) ) )).++fof(aSUBSPACEu_LINEARu_IMAGEu_EQ,axiom,(+ ! [Q143377,Q143405,F0,S0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,Q143405),cart(real,Q143377)),bool),linear),s(fun(cart(real,Q143405),cart(real,Q143377)),F0))))+ & ! [X,Y] :+ ( s(cart(real,Q143377),i(s(fun(cart(real,Q143405),cart(real,Q143377)),F0),s(cart(real,Q143405),X))) = s(cart(real,Q143377),i(s(fun(cart(real,Q143405),cart(real,Q143377)),F0),s(cart(real,Q143405),Y)))+ => s(cart(real,Q143405),X) = s(cart(real,Q143405),Y) ) )+ => s(bool,i(s(fun(fun(cart(real,Q143377),bool),bool),subspace),s(fun(cart(real,Q143377),bool),i(s(fun(fun(cart(real,Q143405),bool),fun(cart(real,Q143377),bool)),i(s(fun(fun(cart(real,Q143405),cart(real,Q143377)),fun(fun(cart(real,Q143405),bool),fun(cart(real,Q143377),bool))),image),s(fun(cart(real,Q143405),cart(real,Q143377)),F0))),s(fun(cart(real,Q143405),bool),S0))))) = s(bool,i(s(fun(fun(cart(real,Q143405),bool),bool),subspace),s(fun(cart(real,Q143405),bool),S0))) ) )).++fof(aLINEARu_SCALING,axiom,(+ ! [N,U_0] :+ ( ! [C0,X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),U_0),s(real,C0))),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),X)))+ => ! [C0] : p(s(bool,i(s(fun(fun(cart(real,N),cart(real,N)),bool),linear),s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),U_0),s(real,C0)))))) ) )).++fof(aINJECTIVEu_SCALING,axiom,(+ ! [N,C0] :+ ( ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),Y)))+ => s(cart(real,N),X) = s(cart(real,N),Y) )+ <=> s(real,C0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aSURJECTIVEu_SCALING,axiom,(+ ! [N,C0] :+ ( ! [Y] :+ ? [X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(real,fun(cart(real,N),cart(real,N))),r_),s(real,C0))),s(cart(real,N),X))) = s(cart(real,N),Y)+ <=> s(real,C0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )).++fof(aPRESERVESu_NORMu_PRESERVESu_DOT,axiom,(+ ! [N,M,F0,X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X] : s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) = s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))) )+ => s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y))))) = s(real,i(s(fun(cart(real,M),real),i(s(fun(cart(real,M),fun(cart(real,M),real)),dot),s(cart(real,M),X))),s(cart(real,M),Y))) ) )).++fof(aPRESERVESu_NORMu_INJECTIVE,axiom,(+ ! [N,M,F0] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X] : s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) = s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))) )+ => ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) ) ) )).++fof(aORTHOGONALu_LINEARu_IMAGEu_EQ,axiom,(+ ! [N,M,F0,X,Y] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X] : s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))) = s(real,i(s(fun(cart(real,M),real),vectoru_norm),s(cart(real,M),X))) )+ => s(bool,i(s(fun(cart(real,N),bool),i(s(fun(cart(real,N),fun(cart(real,N),bool)),orthogonal),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y))))) = s(bool,i(s(fun(cart(real,M),bool),i(s(fun(cart(real,M),fun(cart(real,M),bool)),orthogonal),s(cart(real,M),X))),s(cart(real,M),Y))) ) )).++fof(aMEMu_TRANSLATION,axiom,(+ ! [N,U_0] :+ ( ! [A5,X] : s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),U_0),s(cart(real,N),A5))),s(cart(real,N),X))) = s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),A5))),s(cart(real,N),X)))+ => ! [A5,X,L] : s(bool,i(s(fun(list(cart(real,N)),bool),i(s(fun(cart(real,N),fun(list(cart(real,N)),bool)),mem),s(cart(real,N),i(s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),vectoru_add),s(cart(real,N),A5))),s(cart(real,N),X))))),s(list(cart(real,N)),i(s(fun(list(cart(real,N)),list(cart(real,N))),i(s(fun(fun(cart(real,N),cart(real,N)),fun(list(cart(real,N)),list(cart(real,N)))),map0),s(fun(cart(real,N),cart(real,N)),i(s(fun(cart(real,N),fun(cart(real,N),cart(real,N))),U_0),s(cart(real,N),A5))))),s(list(cart(real,N)),L))))) = s(bool,i(s(fun(list(cart(real,N)),bool),i(s(fun(cart(real,N),fun(list(cart(real,N)),bool)),mem),s(cart(real,N),X))),s(list(cart(real,N)),L))) ) )).++fof(aMEMu_LINEARu_IMAGE,axiom,(+ ! [N,M,F0,X,L] :+ ( ( p(s(bool,i(s(fun(fun(cart(real,M),cart(real,N)),bool),linear),s(fun(cart(real,M),cart(real,N)),F0))))+ & ! [X,Y] :+ ( s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))) = s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),Y)))+ => s(cart(real,M),X) = s(cart(real,M),Y) ) )+ => s(bool,i(s(fun(list(cart(real,N)),bool),i(s(fun(cart(real,N),fun(list(cart(real,N)),bool)),mem),s(cart(real,N),i(s(fun(cart(real,M),cart(real,N)),F0),s(cart(real,M),X))))),s(list(cart(real,N)),i(s(fun(list(cart(real,M)),list(cart(real,N))),i(s(fun(fun(cart(real,M),cart(real,N)),fun(list(cart(real,M)),list(cart(real,N)))),map0),s(fun(cart(real,M),cart(real,N)),F0))),s(list(cart(real,M)),L))))) = s(bool,i(s(fun(list(cart(real,M)),bool),i(s(fun(cart(real,M),fun(list(cart(real,M)),bool)),mem),s(cart(real,M),X))),s(list(cart(real,M)),L))) ) )).++fof(aQUANTIFYu_SURJECTIONu_THM,axiom,(+ ! [A,B,U_1] :+ ( ! [P0,F0,GENR_PVARR_380] :+ ( p(s(bool,i(s(fun(A,bool),i(s(fun(fun(A,B),fun(A,bool)),i(s(fun(fun(B,bool),fun(fun(A,B),fun(A,bool))),U_1),s(fun(B,bool),P0))),s(fun(A,B),F0))),s(A,GENR_PVARR_380))))+ <=> ? [X] : p(s(bool,i(s(fun(A,bool),i(s(fun(bool,fun(A,bool)),i(s(fun(A,fun(bool,fun(A,bool))),setspec),s(A,GENR_PVARR_380))),s(bool,i(s(fun(B,bool),P0),s(B,i(s(fun(A,B),F0),s(A,X))))))),s(A,X)))) )+ => ! [U_0] :+ ( ! [P0,GENR_PVARR_379] :+ ( p(s(bool,i(s(fun(B,bool),i(s(fun(fun(B,bool),fun(B,bool)),U_0),s(fun(B,bool),P0))),s(B,GENR_PVARR_379))))+ <=> ? [X] : p(s(bool,i(s(fun(B,bool),i(s(fun(bool,fun(B,bool)),i(s(fun(B,fun(bool,fun(B,bool))),setspec),s(B,GENR_PVARR_379))),s(bool,i(s(fun(B,bool),P0),s(B,X))))),s(B,X)))) )+ => ! [F0] :+ ( ! [Y] :+ ? [X] : s(B,i(s(fun(A,B),F0),s(A,X))) = s(B,Y)+ => ( ! [P0] :+ ( ! [X] : p(s(bool,i(s(fun(B,bool),P0),s(B,X))))+ <=> ! [X] : p(s(bool,i(s(fun(B,bool),P0),s(B,i(s(fun(A,B),F0),s(A,X)))))) )+ & ! [P0] :+ ( ? [X] : p(s(bool,i(s(fun(B,bool),P0),s(B,X))))+ <=> ? [X] : p(s(bool,i(s(fun(B,bool),P0),s(B,i(s(fun(A,B),F0),s(A,X)))))) )+ & ! [Q0] :+ ( ! [S0] : p(s(bool,i(s(fun(fun(B,bool),bool),Q0),s(fun(B,bool),S0))))+ <=> ! [S0] : p(s(bool,i(s(fun(fun(B,bool),bool),Q0),s(fun(B,bool),i(s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))),s(fun(A,bool),S0)))))) )+ & ! [Q0] :+ ( ? [S0] : p(s(bool,i(s(fun(fun(B,bool),bool),Q0),s(fun(B,bool),S0))))+ <=> ? [S0] : p(s(bool,i(s(fun(fun(B,bool),bool),Q0),s(fun(B,bool),i(s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))),s(fun(A,bool),S0)))))) )+ & ! [P0] : s(fun(B,bool),i(s(fun(fun(B,bool),fun(B,bool)),gspec),s(fun(B,bool),i(s(fun(fun(B,bool),fun(B,bool)),U_0),s(fun(B,bool),P0))))) = s(fun(B,bool),i(s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),gspec),s(fun(A,bool),i(s(fun(fun(A,B),fun(A,bool)),i(s(fun(fun(B,bool),fun(fun(A,B),fun(A,bool))),U_1),s(fun(B,bool),P0))),s(fun(A,B),F0))))))) ) ) ) ) )).++fof(aQUANTIFYu_SURJECTIONu_HIGHERu_THM,axiom,(+ ! [A,B,U_5] :+ ( ! [R0,F0,GENR_PVARR_386] :+ ( p(s(bool,i(s(fun(list(A),bool),i(s(fun(fun(A,B),fun(list(A),bool)),i(s(fun(fun(list(B),bool),fun(fun(A,B),fun(list(A),bool))),U_5),s(fun(list(B),bool),R0))),s(fun(A,B),F0))),s(list(A),GENR_PVARR_386))))+ <=> ? [L] : p(s(bool,i(s(fun(list(A),bool),i(s(fun(bool,fun(list(A),bool)),i(s(fun(list(A),fun(bool,fun(list(A),bool))),setspec),s(list(A),GENR_PVARR_386))),s(bool,i(s(fun(list(B),bool),R0),s(list(B),i(s(fun(list(A),list(B)),i(s(fun(fun(A,B),fun(list(A),list(B))),map0),s(fun(A,B),F0))),s(list(A),L))))))),s(list(A),L)))) )+ => ! [U_4] :+ ( ! [R0,GENR_PVARR_385] :+ ( p(s(bool,i(s(fun(list(B),bool),i(s(fun(fun(list(B),bool),fun(list(B),bool)),U_4),s(fun(list(B),bool),R0))),s(list(B),GENR_PVARR_385))))+ <=> ? [L] : p(s(bool,i(s(fun(list(B),bool),i(s(fun(bool,fun(list(B),bool)),i(s(fun(list(B),fun(bool,fun(list(B),bool))),setspec),s(list(B),GENR_PVARR_385))),s(bool,i(s(fun(list(B),bool),R0),s(list(B),L))))),s(list(B),L)))) )+ => ! [U_3] :+ ( ! [Q0,F0,GENR_PVARR_384] :+ ( p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(fun(A,B),fun(fun(A,bool),bool)),i(s(fun(fun(fun(B,bool),bool),fun(fun(A,B),fun(fun(A,bool),bool))),U_3),s(fun(fun(B,bool),bool),Q0))),s(fun(A,B),F0))),s(fun(A,bool),GENR_PVARR_384))))+ <=> ? [S0] : p(s(bool,i(s(fun(fun(A,bool),bool),i(s(fun(bool,fun(fun(A,bool),bool)),i(s(fun(fun(A,bool),fun(bool,fun(fun(A,bool),bool))),setspec),s(fun(A,bool),GENR_PVARR_384))),s(bool,i(s(fun(fun(B,bool),bool),Q0),s(fun(B,bool),i(s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))),s(fun(A,bool),S0))))))),s(fun(A,bool),S0)))) )+ => ! [U_2] :+ ( ! [Q0,GENR_PVARR_383] :+ ( p(s(bool,i(s(fun(fun(B,bool),bool),i(s(fun(fun(fun(B,bool),bool),fun(fun(B,bool),bool)),U_2),s(fun(fun(B,bool),bool),Q0))),s(fun(B,bool),GENR_PVARR_383))))+ <=> ? [S0] : p(s(bool,i(s(fun(fun(B,bool),bool),i(s(fun(bool,fun(fun(B,bool),bool)),i(s(fun(fun(B,bool),fun(bool,fun(fun(B,bool),bool))),setspec),s(fun(B,bool),GENR_PVARR_383))),s(bool,i(s(fun(fun(B,bool),bool),Q0),s(fun(B,bool),S0))))),s(fun(B,bool),S0)))) )+ => ! [U_1] :+ ( ! [P0,F0,GENR_PVARR_382] :+ ( p(s(bool,i(s(fun(A,bool),i(s(fun(fun(A,B),fun(A,bool)),i(s(fun(fun(B,bool),fun(fun(A,B),fun(A,bool))),U_1),s(fun(B,bool),P0))),s(fun(A,B),F0))),s(A,GENR_PVARR_382))))+ <=> ? [X] : p(s(bool,i(s(fun(A,bool),i(s(fun(bool,fun(A,bool)),i(s(fun(A,fun(bool,fun(A,bool))),setspec),s(A,GENR_PVARR_382))),s(bool,i(s(fun(B,bool),P0),s(B,i(s(fun(A,B),F0),s(A,X))))))),s(A,X)))) )+ => ! [U_0] :+ ( ! [P0,GENR_PVARR_381] :+ ( p(s(bool,i(s(fun(B,bool),i(s(fun(fun(B,bool),fun(B,bool)),U_0),s(fun(B,bool),P0))),s(B,GENR_PVARR_381))))+ <=> ? [X] : p(s(bool,i(s(fun(B,bool),i(s(fun(bool,fun(B,bool)),i(s(fun(B,fun(bool,fun(B,bool))),setspec),s(B,GENR_PVARR_381))),s(bool,i(s(fun(B,bool),P0),s(B,X))))),s(B,X)))) )+ => ! [F0] :+ ( ! [Y] :+ ? [X] : s(B,i(s(fun(A,B),F0),s(A,X))) = s(B,Y)+ => ( ! [P0] :+ ( ! [X] : p(s(bool,i(s(fun(B,bool),P0),s(B,X))))+ <=> ! [X] : p(s(bool,i(s(fun(B,bool),P0),s(B,i(s(fun(A,B),F0),s(A,X)))))) )+ & ! [P0] :+ ( ? [X] : p(s(bool,i(s(fun(B,bool),P0),s(B,X))))+ <=> ? [X] : p(s(bool,i(s(fun(B,bool),P0),s(B,i(s(fun(A,B),F0),s(A,X)))))) )+ & ! [Q0] :+ ( ! [S0] : p(s(bool,i(s(fun(fun(B,bool),bool),Q0),s(fun(B,bool),S0))))+ <=> ! [S0] : p(s(bool,i(s(fun(fun(B,bool),bool),Q0),s(fun(B,bool),i(s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))),s(fun(A,bool),S0)))))) )+ & ! [Q0] :+ ( ? [S0] : p(s(bool,i(s(fun(fun(B,bool),bool),Q0),s(fun(B,bool),S0))))+ <=> ? [S0] : p(s(bool,i(s(fun(fun(B,bool),bool),Q0),s(fun(B,bool),i(s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))),s(fun(A,bool),S0)))))) )+ & ! [Q0] :+ ( ! [S0] : p(s(bool,i(s(fun(fun(fun(B,bool),bool),bool),Q0),s(fun(fun(B,bool),bool),S0))))+ <=> ! [S0] : p(s(bool,i(s(fun(fun(fun(B,bool),bool),bool),Q0),s(fun(fun(B,bool),bool),i(s(fun(fun(fun(A,bool),bool),fun(fun(B,bool),bool)),i(s(fun(fun(fun(A,bool),fun(B,bool)),fun(fun(fun(A,bool),bool),fun(fun(B,bool),bool))),image),s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))))),s(fun(fun(A,bool),bool),S0)))))) )+ & ! [Q0] :+ ( ? [S0] : p(s(bool,i(s(fun(fun(fun(B,bool),bool),bool),Q0),s(fun(fun(B,bool),bool),S0))))+ <=> ? [S0] : p(s(bool,i(s(fun(fun(fun(B,bool),bool),bool),Q0),s(fun(fun(B,bool),bool),i(s(fun(fun(fun(A,bool),bool),fun(fun(B,bool),bool)),i(s(fun(fun(fun(A,bool),fun(B,bool)),fun(fun(fun(A,bool),bool),fun(fun(B,bool),bool))),image),s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))))),s(fun(fun(A,bool),bool),S0)))))) )+ & ! [P0] :+ ( ! [G0] : p(s(bool,i(s(fun(fun(cart(real,n10),B),bool),P0),s(fun(cart(real,n10),B),G0))))+ <=> ! [G0] : p(s(bool,i(s(fun(fun(cart(real,n10),B),bool),P0),s(fun(cart(real,n10),B),i(s(fun(fun(cart(real,n10),A),fun(cart(real,n10),B)),i(s(fun(fun(A,B),fun(fun(cart(real,n10),A),fun(cart(real,n10),B))),o),s(fun(A,B),F0))),s(fun(cart(real,n10),A),G0)))))) )+ & ! [P0] :+ ( ? [G0] : p(s(bool,i(s(fun(fun(cart(real,n10),B),bool),P0),s(fun(cart(real,n10),B),G0))))+ <=> ? [G0] : p(s(bool,i(s(fun(fun(cart(real,n10),B),bool),P0),s(fun(cart(real,n10),B),i(s(fun(fun(cart(real,n10),A),fun(cart(real,n10),B)),i(s(fun(fun(A,B),fun(fun(cart(real,n10),A),fun(cart(real,n10),B))),o),s(fun(A,B),F0))),s(fun(cart(real,n10),A),G0)))))) )+ & ! [P0] :+ ( ! [G0] : p(s(bool,i(s(fun(fun(num,B),bool),P0),s(fun(num,B),G0))))+ <=> ! [G0] : p(s(bool,i(s(fun(fun(num,B),bool),P0),s(fun(num,B),i(s(fun(fun(num,A),fun(num,B)),i(s(fun(fun(A,B),fun(fun(num,A),fun(num,B))),o),s(fun(A,B),F0))),s(fun(num,A),G0)))))) )+ & ! [P0] :+ ( ? [G0] : p(s(bool,i(s(fun(fun(num,B),bool),P0),s(fun(num,B),G0))))+ <=> ? [G0] : p(s(bool,i(s(fun(fun(num,B),bool),P0),s(fun(num,B),i(s(fun(fun(num,A),fun(num,B)),i(s(fun(fun(A,B),fun(fun(num,A),fun(num,B))),o),s(fun(A,B),F0))),s(fun(num,A),G0)))))) )+ & ! [Q0] :+ ( ! [L] : p(s(bool,i(s(fun(list(B),bool),Q0),s(list(B),L))))+ <=> ! [L] : p(s(bool,i(s(fun(list(B),bool),Q0),s(list(B),i(s(fun(list(A),list(B)),i(s(fun(fun(A,B),fun(list(A),list(B))),map0),s(fun(A,B),F0))),s(list(A),L)))))) )+ & ! [Q0] :+ ( ? [L] : p(s(bool,i(s(fun(list(B),bool),Q0),s(list(B),L))))+ <=> ? [L] : p(s(bool,i(s(fun(list(B),bool),Q0),s(list(B),i(s(fun(list(A),list(B)),i(s(fun(fun(A,B),fun(list(A),list(B))),map0),s(fun(A,B),F0))),s(list(A),L)))))) )+ & ! [P0] : s(fun(B,bool),i(s(fun(fun(B,bool),fun(B,bool)),gspec),s(fun(B,bool),i(s(fun(fun(B,bool),fun(B,bool)),U_0),s(fun(B,bool),P0))))) = s(fun(B,bool),i(s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))),s(fun(A,bool),i(s(fun(fun(A,bool),fun(A,bool)),gspec),s(fun(A,bool),i(s(fun(fun(A,B),fun(A,bool)),i(s(fun(fun(B,bool),fun(fun(A,B),fun(A,bool))),U_1),s(fun(B,bool),P0))),s(fun(A,B),F0)))))))+ & ! [Q0] : s(fun(fun(B,bool),bool),i(s(fun(fun(fun(B,bool),bool),fun(fun(B,bool),bool)),gspec),s(fun(fun(B,bool),bool),i(s(fun(fun(fun(B,bool),bool),fun(fun(B,bool),bool)),U_2),s(fun(fun(B,bool),bool),Q0))))) = s(fun(fun(B,bool),bool),i(s(fun(fun(fun(A,bool),bool),fun(fun(B,bool),bool)),i(s(fun(fun(fun(A,bool),fun(B,bool)),fun(fun(fun(A,bool),bool),fun(fun(B,bool),bool))),image),s(fun(fun(A,bool),fun(B,bool)),i(s(fun(fun(A,B),fun(fun(A,bool),fun(B,bool))),image),s(fun(A,B),F0))))),s(fun(fun(A,bool),bool),i(s(fun(fun(fun(A,bool),bool),fun(fun(A,bool),bool)),gspec),s(fun(fun(A,bool),bool),i(s(fun(fun(A,B),fun(fun(A,bool),bool)),i(s(fun(fun(fun(B,bool),bool),fun(fun(A,B),fun(fun(A,bool),bool))),U_3),s(fun(fun(B,bool),bool),Q0))),s(fun(A,B),F0)))))))+ & ! [R0] : s(fun(list(B),bool),i(s(fun(fun(list(B),bool),fun(list(B),bool)),gspec),s(fun(list(B),bool),i(s(fun(fun(list(B),bool),fun(list(B),bool)),U_4),s(fun(list(B),bool),R0))))) = s(fun(list(B),bool),i(s(fun(fun(list(A),bool),fun(list(B),bool)),i(s(fun(fun(list(A),list(B)),fun(fun(list(A),bool),fun(list(B),bool))),image),s(fun(list(A),list(B)),i(s(fun(fun(A,B),fun(list(A),list(B))),map0),s(fun(A,B),F0))))),s(fun(list(A),bool),i(s(fun(fun(list(A),bool),fun(list(A),bool)),gspec),s(fun(list(A),bool),i(s(fun(fun(A,B),fun(list(A),bool)),i(s(fun(fun(list(B),bool),fun(fun(A,B),fun(list(A),bool))),U_5),s(fun(list(B),bool),R0))),s(fun(A,B),F0))))))) ) ) ) ) ) ) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GEO011+0.ax view
@@ -0,0 +1,77 @@+%------------------------------------------------------------------------------+% File : GEO011+0 : TPTP v7.2.0. Released v7.0.0.+% Domain : Geometry+% Axioms : Tarskian geometry+% Version : [Urb16] axioms : Especial.+% English :++% Refs : [Urb16] Urban (2016), Email to Geoff Sutcliffe+% : [BW17] Beeson & Wos (2017), Finding Proofs in Tarskian Geomet+% Source : [Urb16]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 8 ( 1 unit)+% Number of atoms : 27 ( 3 equality)+% Maximal formula depth : 16 ( 8 average)+% Number of connectives : 36 ( 17 ~; 15 |; 4 &)+% ( 0 <=>; 0 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 3 ( 0 propositional; 2-4 arity)+% Number of functors : 5 ( 3 constant; 0-5 arity)+% Number of variables : 30 ( 0 sgn; 30 !; 0 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : FOF_SAT_RFO_SEQ++% Comments :+%------------------------------------------------------------------------------+fof(aA1,axiom,(+ ! [X,Y] : s_e(X,Y,Y,X) )).++fof(aA2,axiom,(+ ! [X,Y,Z,V,Z2,V2] :+ ( ~ s_e(X,Y,Z,V)+ | ~ s_e(X,Y,Z2,V2)+ | s_e(Z,V,Z2,V2) ) )).++fof(aA3,axiom,(+ ! [X,Y,Z] :+ ( ~ s_e(X,Y,Z,Z)+ | X = Y ) )).++fof(aA4,axiom,(+ ! [X,Y,W,V] :+ ( s_t(X,Y,ext(X,Y,W,V))+ & s_e(Y,ext(X,Y,W,V),W,V) ) )).++fof(aA5,axiom,(+ ! [X,Y,X1,Y1,Z,Z1,V,V1] :+ ( ~ s_e(X,Y,X1,Y1)+ | ~ s_e(Y,Z,Y1,Z1)+ | ~ s_e(X,V,X1,V1)+ | ~ s_e(Y,V,Y1,V1)+ | ~ s_t(X,Y,Z)+ | ~ s_t(X1,Y1,Z1)+ | X = Y+ | s_e(Z,V,Z1,V1) ) )).++fof(aA6,axiom,(+ ! [X,Y] :+ ( ~ s_t(X,Y,X)+ | X = Y ) )).++fof(aA7,axiom,(+ ! [Xa,Xp,Xc,Xb,Xq] :+ ( ( ~ s_t(Xa,Xp,Xc)+ | ~ s_t(Xb,Xq,Xc)+ | s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb) )+ & ( ~ s_t(Xa,Xp,Xc)+ | ~ s_t(Xb,Xq,Xc)+ | s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa) ) ) )).++fof(aA8,axiom,+ ( ~ s_t(alpha,beta,gamma)+ & ~ s_t(beta,gamma,alpha)+ & ~ s_t(gamma,alpha,beta) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/GRA001+0.ax view
@@ -0,0 +1,147 @@+%------------------------------------------------------------------------------+% File : GRA001+0 : TPTP v7.2.0. Bugfixed v3.2.0.+% Domain : Graph Theory+% Axioms : Directed graphs and paths+% Version : [TPTP] axioms : Especial.+% English :++% Refs :+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 12 ( 0 unit)+% Number of atoms : 72 ( 21 equality)+% Maximal formula depth : 13 ( 10 average)+% Number of connectives : 66 ( 6 ~ ; 3 |; 38 &)+% ( 2 <=>; 12 =>; 2 <=)+% ( 3 <~>; 0 ~|; 0 ~&)+% Number of predicates : 11 ( 1 propositional; 0-3 arity)+% Number of functors : 5 ( 1 constant; 0-2 arity)+% Number of variables : 48 ( 0 singleton; 39 !; 9 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+% Bugfixes : v3.2.0 - Added formula edge_ends_are_vertices.+%------------------------------------------------------------------------------+fof(no_loops,axiom,+ ( ! [E] :+ ( edge(E)+ => head_of(E) != tail_of(E) ) )).++fof(edge_ends_are_vertices,axiom,+ ( ! [E] :+ ( edge(E)+ => ( vertex(head_of(E))+ & vertex(tail_of(E)) ) ) )).++fof(complete_properties,axiom,+ ( complete+ => ! [V1,V2] :+ ( ( vertex(V1)+ & vertex(V2)+ & V1 != V2 )+ => ? [E] :+ ( edge(E)+ & ( ( V1 = head_of(E)+ & V2 = tail_of(E) )+ <~> ( V2 = head_of(E)+ & V1 = tail_of(E) ) ) ) ) )).++fof(path_defn,axiom,+ ( ! [V1,V2,P] :+ ( path(V1,V2,P)+ <= ( vertex(V1)+ & vertex(V2)+ & ? [E] :+ ( edge(E)+ & V1 = tail_of(E)+ & ( ( V2 = head_of(E)+ & P = path_cons(E,empty) )+ | ? [TP] :+ ( path(head_of(E),V2,TP)+ & P = path_cons(E,TP) ) ) ) ) ) )).++fof(path_properties,axiom,+ ( ! [V1,V2,P] :+ ( path(V1,V2,P)+ => ( vertex(V1)+ & vertex(V2)+ & ? [E] :+ ( edge(E)+ & V1 = tail_of(E)+ & ( ( V2 = head_of(E)+ & P = path_cons(E,empty) )+ <~> ? [TP] :+ ( path(head_of(E),V2,TP)+ & P = path_cons(E,TP) ) ) ) ) ) )).++fof(on_path_properties,axiom,+ ( ! [V1,V2,P,E] :+ ( ( path(V1,V2,P)+ & on_path(E,P) )+ => ( edge(E)+ & in_path(head_of(E),P)+ & in_path(tail_of(E),P) ) ) )).++fof(in_path_properties,axiom,+ ( ! [V1,V2,P,V] :+ ( ( path(V1,V2,P)+ & in_path(V,P) )+ => ( vertex(V)+ & ? [E] :+ ( on_path(E,P)+ & ( V = head_of(E)+ | V = tail_of(E) ) ) ) ) )).++fof(sequential_defn,axiom,+ ( ! [E1,E2] :+ ( sequential(E1,E2)+ <=> ( edge(E1)+ & edge(E2)+ & E1 != E2+ & head_of(E1) = tail_of(E2) ) ) )).++fof(precedes_defn,axiom,+ ( ! [P,V1,V2] :+ ( path(V1,V2,P)+ => ! [E1,E2] :+ ( precedes(E1,E2,P)+ <= ( on_path(E1,P)+ & on_path(E2,P)+ & ( sequential(E1,E2)+ | ? [E3] :+ ( sequential(E1,E3)+ & precedes(E3,E2,P) ) ) ) ) ) )).++fof(precedes_properties,axiom,+ ( ! [P,V1,V2] :+ ( path(V1,V2,P)+ => ! [E1,E2] :+ ( precedes(E1,E2,P)+ => ( on_path(E1,P)+ & on_path(E2,P)+ & ( sequential(E1,E2)+ <~> ? [E3] :+ ( sequential(E1,E3)+ & precedes(E3,E2,P) ) ) ) ) ) )).++fof(shortest_path_defn,axiom,+ ( ! [V1,V2,SP] :+ ( shortest_path(V1,V2,SP)+ <=> ( path(V1,V2,SP)+ & V1 != V2+ & ! [P] :+ ( path(V1,V2,P)+ => less_or_equal(length_of(SP),length_of(P)) ) ) ) )).++fof(shortest_path_properties,axiom,+ ( ! [V1,V2,E1,E2,P] :+ ( ( shortest_path(V1,V2,P)+ & precedes(E1,E2,P) )+ => ( ~ ( ? [E3] :+ ( tail_of(E3) = tail_of(E1)+ & head_of(E3) = head_of(E2) ) )+ & ~ precedes(E2,E1,P) ) ) )).+%------------------------------------------------------------------------------
+ test-data/tptp/fof/GRP003+0.ax view
@@ -0,0 +1,66 @@+%--------------------------------------------------------------------------+% File : GRP003+0 : TPTP v7.2.0. Released v2.5.0.+% Domain : Group Theory+% Axioms : Group theory axioms+% Version : [MOW76] axioms.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% : [Ver93] Veroff (1993), Email to G. Sutcliffe+% Source : TPTP+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 8 ( 5 unit)+% Number of atoms : 16 ( 1 equality)+% Maximal formula depth : 10 ( 5 average)+% Number of connectives : 8 ( 0 ~ ; 0 |; 5 &)+% ( 0 <=>; 3 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 3 ( 1 constant; 0-2 arity)+% Number of variables : 22 ( 0 singleton; 22 !; 0 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+fof(left_identity,axiom,+ ( ! [X] : product(identity,X,X) )).++fof(right_identity,axiom,+ ( ! [X] : product(X,identity,X) )).++fof(left_inverse,axiom,+ ( ! [X] : product(inverse(X),X,identity) )).++fof(right_inverse,axiom,+ ( ! [X] : product(X,inverse(X),identity) )).++%----This axiom is called closure or totality in some axiomatisations+fof(total_function1,axiom,+ ( ! [X,Y] : product(X,Y,multiply(X,Y)) )).++%----This axiom is called well_definedness in some axiomatisations+fof(total_function2,axiom,+ ( ! [W,X,Y,Z] :+ ( ( product(X,Y,Z)+ & product(X,Y,W) )+ => Z = W ) )).++fof(associativity1,axiom,+ ( ! [X,Y,Z,U,V,W] :+ ( ( product(X,Y,U)+ & product(Y,Z,V)+ & product(U,Z,W) )+ => product(X,V,W) ) )).++fof(associativity2,axiom,+ ( ! [X,Y,Z,U,V,W] :+ ( ( product(X,Y,U)+ & product(Y,Z,V)+ & product(X,V,W) )+ => product(U,Z,W) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/GRP004+0.ax view
@@ -0,0 +1,42 @@+%--------------------------------------------------------------------------+% File : GRP004+0 : TPTP v7.2.0. Released v1.0.0.+% Domain : Group Theory+% Axioms : Group theory (equality) axioms+% Version : [MOW76] (equality) axioms :+% Reduced > Complete.+% English :++% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a+% : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 3 ( 3 unit)+% Number of atoms : 3 ( 3 equality)+% Maximal formula depth : 4 ( 3 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 3 ( 1 constant; 0-2 arity)+% Number of variables : 5 ( 0 singleton; 5 !; 0 ?)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Reverse engineered from GRP004-0.ax.+%--------------------------------------------------------------------------+%----There exists an identity element+fof(left_identity,axiom,+ ( ! [X] : multiply(identity,X) = X )).++%----For any x in the group, there exists an element y such that x*y = y*x+%----= identity.+fof(left_inverse,axiom,+ ( ! [X] : multiply(inverse(X),X) = identity )).++%----The operation '*' is associative+fof(associativity,axiom,+ ( ! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/GRP007+0.ax view
@@ -0,0 +1,40 @@+%--------------------------------------------------------------------------+% File : GRP007+0 : TPTP v7.2.0. Released v2.0.0.+% Domain : Group Theory (Named Semigroups)+% Axioms : Group theory (Named Semigroups) axioms+% Version : [Gol93] axioms.+% English :++% Refs : [Gol93] Goller (1993), Anwendung des Theorembeweisers SETHEO a+% Source : [Gol93]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 2 ( 0 unit)+% Number of atoms : 7 ( 1 equality)+% Maximal formula depth : 8 ( 7 average)+% Number of connectives : 5 ( 0 ~ ; 0 |; 3 &)+% ( 0 <=>; 2 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 1 ( 0 constant; 3-3 arity)+% Number of variables : 7 ( 0 singleton; 7 !; 0 ?)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+fof(total_function,axiom,+ ( ! [G,X,Y] :+ ( ( group_member(X,G)+ & group_member(Y,G) )+ => group_member(multiply(G,X,Y),G) ) )).++fof(associativity,axiom,+ ( ! [G,X,Y,Z] :+ ( ( group_member(X,G)+ & group_member(Y,G)+ & group_member(Z,G) )+ => multiply(G,multiply(G,X,Y),Z) = multiply(G,X,multiply(G,Y,Z)) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/HAL001+0.ax view
@@ -0,0 +1,165 @@+%--------------------------------------------------------------------------+% File : HAL001+0 : TPTP v7.2.0. Released v2.6.0.+% Domain : Homological Algebra+% Axioms : Standard homological algebra axioms+% Version : [TPTP] axioms.+% English :++% Refs : [Wei94] Weibel (1994), An Introduction to Homological Algebra+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 13 ( 0 unit)+% Number of atoms : 66 ( 16 equality)+% Maximal formula depth : 16 ( 10 average)+% Number of connectives : 53 ( 0 ~ ; 0 |; 30 &)+% ( 2 <=>; 21 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 7 ( 0 propositional; 1-4 arity)+% Number of functors : 3 ( 0 constant; 1-3 arity)+% Number of variables : 69 ( 0 singleton; 65 !; 4 ?)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+fof(morphism,axiom,+ ( ! [Morphism,Dom,Cod] :+ ( morphism(Morphism,Dom,Cod)+ => ( ! [El] :+ ( element(El,Dom)+ => element(apply(Morphism,El),Cod) )+ & apply(Morphism,zero(Dom)) = zero(Cod) ) ) )).++fof(injection_properties,axiom,+ ( ! [Morphism,Dom,Cod] :+ ( ( injection(Morphism)+ & morphism(Morphism,Dom,Cod) )+ => ! [El1,El2] :+ ( ( element(El1,Dom)+ & element(El2,Dom)+ & apply(Morphism,El1) = apply(Morphism,El2) )+ => El1 = El2 ) ) )).++fof(properties_for_injection,axiom,+ ( ! [Morphism,Dom,Cod] :+ ( ( morphism(Morphism,Dom,Cod)+ & ! [El1,El2] :+ ( ( element(El1,Dom)+ & element(El2,Dom)+ & apply(Morphism,El1) = apply(Morphism,El2) )+ => El1 = El2 ) )+ => injection(Morphism) ) )).++%----Sasha's weird injection axioms+% input_formula(injection_properties,axiom, (+% ! [Morphism,Dom,Cod] :+% ( ( injection(Morphism)+% & morphism(Morphism,Dom,Cod) )+% => ! [El] :+% ( ( element(El,Dom)+% & equal(apply(Morphism,El),zero(Cod)) )+% => equal(El,zero(Dom)) ) ) )).+%+% input_formula(properties_for_injection,axiom, (+% ! [Morphism,Dom,Cod] :+% ( ( morphism(Morphism,Dom,Cod)+% & ! [El] :+% ( ( element(El,Dom)+% & equal(apply(Morphism,El),zero(Cod)) )+% => equal(El,zero(Dom)) ) )+% => injection(Morphism) ) )).++fof(surjection_properties,axiom,+ ( ! [Morphism,Dom,Cod] :+ ( ( surjection(Morphism)+ & morphism(Morphism,Dom,Cod) )+ => ! [ElCod] :+ ( element(ElCod,Cod)+ => ? [ElDom] :+ ( element(ElDom,Dom)+ & apply(Morphism,ElDom) = ElCod ) ) ) )).++fof(properties_for_surjection,axiom,+ ( ! [Morphism,Dom,Cod] :+ ( ( morphism(Morphism,Dom,Cod)+ & ! [ElCod] :+ ( element(ElCod,Cod)+ => ? [ElDom] :+ ( element(ElDom,Dom)+ & apply(Morphism,ElDom) = ElCod ) ) )+ => surjection(Morphism) ) )).++fof(exact_properties,axiom,+ ( ! [Morphism1,Morphism2,Dom,CodDom,Cod] :+ ( ( exact(Morphism1,Morphism2)+ & morphism(Morphism1,Dom,CodDom)+ & morphism(Morphism2,CodDom,Cod) )+ => ! [ElCodDom] :+ ( ( element(ElCodDom,CodDom)+ & apply(Morphism2,ElCodDom) = zero(Cod) )+ <=> ? [ElDom] :+ ( element(ElDom,Dom)+ & apply(Morphism1,ElDom) = ElCodDom ) ) ) )).++fof(properties_for_exact,axiom,+ ( ! [Morphism1,Morphism2,Dom,CodDom,Cod] :+ ( ( morphism(Morphism1,Dom,CodDom)+ & morphism(Morphism2,CodDom,Cod)+ & ! [ElCodDom] :+ ( ( element(ElCodDom,CodDom)+ & apply(Morphism2,ElCodDom) = zero(Cod) )+ <=> ? [ElDom] :+ ( element(ElDom,Dom)+ & apply(Morphism1,ElDom) = ElCodDom ) ) )+ => exact(Morphism1,Morphism2) ) )).++fof(commute_properties,axiom,+ ( ! [M1,M2,M3,M4,Dom,DomCod1,DomCod2,Cod] :+ ( ( commute(M1,M2,M3,M4)+ & morphism(M1,Dom,DomCod1)+ & morphism(M2,DomCod1,Cod)+ & morphism(M3,Dom,DomCod2)+ & morphism(M4,DomCod2,Cod) )+ => ! [ElDom] :+ ( element(ElDom,Dom)+ => apply(M2,apply(M1,ElDom)) = apply(M4,apply(M3,ElDom)) ) ) )).++fof(properties_for_commute,axiom,+ ( ! [M1,M2,M3,M4,Dom,DomCod1,DomCod2,Cod] :+ ( ( morphism(M1,Dom,DomCod1)+ & morphism(M2,DomCod1,Cod)+ & morphism(M3,Dom,DomCod2)+ & morphism(M4,DomCod2,Cod)+ & ! [ElDom] :+ ( element(ElDom,Dom)+ => apply(M2,apply(M1,ElDom)) = apply(M4,apply(M3,ElDom)) ) )+ => commute(M1,M2,M3,M4) ) )).++fof(subtract_in_domain,axiom,+ ( ! [Dom,El1,El2] :+ ( ( element(El1,Dom)+ & element(El2,Dom) )+ => element(subtract(Dom,El1,El2),Dom) ) )).++fof(subtract_to_0,axiom,+ ( ! [Dom,El] :+ ( element(El,Dom)+ => subtract(Dom,El,El) = zero(Dom) ) )).++fof(subtract_cancellation,axiom,+ ( ! [Dom,El1,El2] :+ ( ( element(El1,Dom)+ & element(El2,Dom) )+ => subtract(Dom,El1,subtract(Dom,El1,El2)) = El2 ) )).++fof(subtract_distribution,axiom,+ ( ! [Morphism,Dom,Cod] :+ ( morphism(Morphism,Dom,Cod)+ => ! [El1,El2] :+ ( ( element(El1,Dom)+ & element(El2,Dom) )+ => apply(Morphism,subtract(Dom,El1,El2)) = subtract(Cod,apply(Morphism,El1),apply(Morphism,El2)) ) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/KLE001+0.ax view
@@ -0,0 +1,70 @@+%------------------------------------------------------------------------------+% File : KLE001+0 : TPTP v7.2.0. Released v3.6.0.+% Domain : Kleene Algebra+% Axioms : Idempotent semirings+% Version : [Hoe08] axioms.+% English :++% Refs : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 12 ( 11 unit)+% Number of atoms : 13 ( 12 equality)+% Maximal formula depth : 4 ( 3 average)+% Number of connectives : 1 ( 0 ~ ; 0 |; 0 &)+% ( 1 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 4 ( 2 constant; 0-2 arity)+% Number of variables : 22 ( 0 singleton; 22 !; 0 ?)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Additive idempotent monoid+fof(additive_commutativity,axiom,(+ ! [A,B] : addition(A,B) = addition(B,A) )).++fof(additive_associativity,axiom,(+ ! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )).++fof(additive_identity,axiom,(+ ! [A] : addition(A,zero) = A )).++fof(additive_idempotence,axiom,(+ ! [A] : addition(A,A) = A )).++%----Multiplicative and commutative monoid+fof(multiplicative_associativity,axiom,(+ ! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )).++fof(multiplicative_right_identity,axiom,(+ ! [A] : multiplication(A,one) = A )).++fof(multiplicative_left_identity,axiom,(+ ! [A] : multiplication(one,A) = A )).++%----Distributivity laws+fof(right_distributivity,axiom,(+ ! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )).++fof(left_distributivity,axiom,(+ ! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )).++%----Annihilation+fof(right_annihilation,axiom,(+ ! [A] : multiplication(A,zero) = zero )).++fof(left_annihilation,axiom,(+ ! [A] : multiplication(zero,A) = zero )).++%----Order+fof(order,axiom,(+ ! [A,B] :+ ( leq(A,B)+ <=> addition(A,B) = B ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KLE001+1.ax view
@@ -0,0 +1,53 @@+%------------------------------------------------------------------------------+% File : KLE001+1 : TPTP v7.2.0. Released v3.6.0.+% Domain : Kleene Algebra+% Axioms : Characterisation of tests by complement predicate+% Version : [Hoe08] axioms.+% English :++% Refs : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 4 ( 0 unit)+% Number of atoms : 11 ( 5 equality)+% Maximal formula depth : 6 ( 5 average)+% Number of connectives : 8 ( 1 ~ ; 0 |; 2 &)+% ( 3 <=>; 2 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 3 ( 0 propositional; 1-2 arity)+% Number of functors : 5 ( 2 constant; 0-2 arity)+% Number of variables : 7 ( 0 singleton; 6 !; 1 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires KLE001+0.ax, KLE002+0.ax or KLE003+0.ax+% : Combined with KLE001+0 generates Idempotent semirings with tests+% Combined with KLE002+0 generates Kleene Algebra with tests+% Combined with KLE003+0 generates Omega Algebra with tests+%------------------------------------------------------------------------------+fof(test_1,axiom,(+ ! [X0] :+ ( test(X0)+ <=> ? [X1] : complement(X1,X0) ) )).++fof(test_2,axiom,(+ ! [X0,X1] :+ ( complement(X1,X0)+ <=> ( multiplication(X0,X1) = zero+ & multiplication(X1,X0) = zero+ & addition(X0,X1) = one ) ) )).++fof(test_3,axiom,(+ ! [X0,X1] :+ ( test(X0)+ => ( c(X0) = X1+ <=> complement(X0,X1) ) ) )).++fof(test_4,axiom,(+ ! [X0] :+ ( ~ test(X0)+ => c(X0) = zero ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KLE001+2.ax view
@@ -0,0 +1,39 @@+%------------------------------------------------------------------------------+% File : KLE001+2 : TPTP v7.2.0. Released v3.6.0.+% Domain : Kleene Algebra+% Axioms : de Morgan's laws for tests+% Version : [Hoe08] axioms.+% English :++% Refs : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 2 ( 0 unit)+% Number of atoms : 6 ( 2 equality)+% Maximal formula depth : 5 ( 5 average)+% Number of connectives : 4 ( 0 ~ ; 0 |; 2 &)+% ( 0 <=>; 2 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 1-2 arity)+% Number of functors : 3 ( 0 constant; 1-2 arity)+% Number of variables : 4 ( 0 singleton; 4 !; 0 ?)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires KLE001+1.ax+%------------------------------------------------------------------------------+fof(test_deMorgan1,axiom,(+ ! [X0,X1] :+ ( ( test(X0)+ & test(X1) )+ => c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ) )).++fof(test_deMorgan2,axiom,(+ ! [X0,X1] :+ ( ( test(X0)+ & test(X1) )+ => c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KLE001+3.ax view
@@ -0,0 +1,45 @@+%------------------------------------------------------------------------------+% File : KLE001+3 : TPTP v7.2.0. Released v3.6.0.+% Domain : Kleene Algebra+% Axioms : Universal characterisation of meet+% Version : [Hoe08] axioms.+% English :++% Refs : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 2 ( 0 unit)+% Number of atoms : 10 ( 0 equality)+% Maximal formula depth : 10 ( 9 average)+% Number of connectives : 8 ( 0 ~ ; 0 |; 4 &)+% ( 3 <=>; 1 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 3 ( 0 propositional; 2-3 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 8 ( 0 singleton; 8 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires KLE001+0.ax, KLE002+0.ax or KLE003+0.ax+%------------------------------------------------------------------------------+fof(ismeet,axiom,(+ ! [X0,X1,X2] :+ ( ismeet(X2,X0,X1)+ <=> ( leq(X2,X0)+ & leq(X2,X1)+ & ! [X3] :+ ( ( leq(X3,X0)+ & leq(X3,X1) )+ => leq(X3,X2) ) ) ) )).++fof(ismeetu,axiom,(+ ! [X0,X1,X2] :+ ( ismeetu(X2,X0,X1)+ <=> ! [X3] :+ ( ( leq(X3,X0)+ & leq(X3,X1) )+ <=> leq(X3,X2) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KLE001+4.ax view
@@ -0,0 +1,56 @@+%------------------------------------------------------------------------------+% File : KLE001+4 : TPTP v7.2.0. Released v3.6.0.+% Domain : Kleene Algebra+% Axioms : Boolean domain, antidomain, codomain, coantidomain+% Version : [Hoe08] axioms.+% English :++% Refs : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 8 ( 8 unit)+% Number of atoms : 8 ( 8 equality)+% Maximal formula depth : 3 ( 2 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 8 ( 2 constant; 0-2 arity)+% Number of variables : 10 ( 0 singleton; 10 !; 0 ?)+% Maximal term depth : 6 ( 3 average)+% SPC : ++% Comments : Requires KLE001+0.ax, KLE002+0.ax or KLE003+0.ax+% : With KLE001+0 generates Idempotent semirings with domain/codomain+% With KLE002+0 generates Kleene Algebra with domain domain/codomain+% With KLE003+0 generates Omega Algebra with domain/codomain+%------------------------------------------------------------------------------+%----Boolean domain axioms (a la Desharnais & Struth)+fof(domain1,axiom,(+ ! [X0] : multiplication(antidomain(X0),X0) = zero )).++fof(domain2,axiom,(+ ! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) )).++fof(domain3,axiom,(+ ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one )).++fof(domain4,axiom,(+ ! [X0] : domain(X0) = antidomain(antidomain(X0)) )).++%----Boolean codomain axioms (a la Desharnais & Struth)+fof(codomain1,axiom,(+ ! [X0] : multiplication(X0,coantidomain(X0)) = zero )).++fof(codomain2,axiom,(+ ! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) )).++fof(codomain3,axiom,(+ ! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one )).++fof(codomain4,axiom,(+ ! [X0] : codomain(X0) = coantidomain(coantidomain(X0)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KLE001+5.ax view
@@ -0,0 +1,48 @@+%------------------------------------------------------------------------------+% File : KLE001+5 : TPTP v7.2.0. Released v3.6.0.+% Domain : Kleene Algebra+% Axioms : Domain (not Boolean domain!)+% Version : [Hoe08] axioms.+% English :++% Refs : [DS08] Desharnais & Struth (2008), Modal Semirings Revisited+% : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 5 ( 5 unit)+% Number of atoms : 5 ( 5 equality)+% Maximal formula depth : 3 ( 2 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 2 constant; 0-2 arity)+% Number of variables : 6 ( 0 singleton; 6 !; 0 ?)+% Maximal term depth : 4 ( 3 average)+% SPC : ++% Comments : The domain algebra is not necessarily Boolean+% : Requires KLE001+0.ax, KLE002+0.ax or KLE003+0.ax+% : Combined with KLE001+0 generates Idempotent semirings with tests+% Combined with KLE002+0 generates Kleene Algebra with tests+% Combined with KLE003+0 generates Omega Algebra with tests+%------------------------------------------------------------------------------+%----Domain axioms (a la Desharnais & Struth)+fof(domain1,axiom,(+ ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) )).++fof(domain2,axiom,(+ ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) )).++fof(domain3,axiom,(+ ! [X0] : addition(domain(X0),one) = one )).++fof(domain4,axiom,(+ domain(zero) = zero )).++fof(domain5,axiom,(+ ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KLE001+6.ax view
@@ -0,0 +1,53 @@+%------------------------------------------------------------------------------+% File : KLE001+6 : TPTP v7.2.0. Released v3.6.0.+% Domain : Kleene Algebra+% Axioms : Modal operators+% Version : [Hoe08] axioms.+% English :++% Refs : [DMS06] Desharnais et al. (2006), Kleene Algebra with Domain+% : [MS06] Moeller & Struth (2006), Algebras of Modal Operators a+% : [DS08] Desharnais & Struth (2008), Modal Semirings Revisited+% : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 6 ( 6 unit)+% Number of atoms : 6 ( 6 equality)+% Maximal formula depth : 3 ( 3 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 10 ( 0 constant; 1-2 arity)+% Number of variables : 11 ( 0 singleton; 11 !; 0 ?)+% Maximal term depth : 4 ( 3 average)+% SPC : ++% Comments : Requires KLE001+4.ax+% : With KLE001+0 and KLE001+4.ax generates modal semirings+% With KLE002+0 and KLE001+4.ax generates modal Kleene Algebra+% With KLE003+0 and KLE001+4.ax generates modal Omega Algebra+% : Defines forward/backward box and diamond (and domain).+%------------------------------------------------------------------------------+%----Standard axioms for forward/backward box and diamond+fof(complement,axiom,(+ ! [X0] : c(X0) = antidomain(domain(X0)) )).++fof(domain_difference,axiom,(+ ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)) )).++fof(forward_diamond,axiom,(+ ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))) )).++fof(backward_diamond,axiom,(+ ! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)) )).++fof(forward_box,axiom,(+ ! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))) )).++fof(backward_box,axiom,(+ ! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KLE001+7.ax view
@@ -0,0 +1,37 @@+%------------------------------------------------------------------------------+% File : KLE001+7 : TPTP v7.2.0. Released v3.6.0.+% Domain : Kleene Algebra+% Axioms : Divergence Kleene algebras+% Version : [Hoe08] axioms.+% English :++% Refs : [DMS04] Desharnais et al. (2004), Termination in Modal Kleene+% : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 2 ( 1 unit)+% Number of atoms : 3 ( 3 equality)+% Maximal formula depth : 5 ( 4 average)+% Number of connectives : 1 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 1 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 0 constant; 1-2 arity)+% Number of variables : 4 ( 0 singleton; 4 !; 0 ?)+% Maximal term depth : 5 ( 4 average)+% SPC : ++% Comments : Requires KLE001+6.ax KLE002+0.ax+% : Based on modal Kleene Algebra+%------------------------------------------------------------------------------+fof(divergence1,axiom,(+ ! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0) )).++fof(divergence2,axiom,(+ ! [X0,X1,X2] :+ ( addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) = addition(forward_diamond(X1,domain(X0)),domain(X2))+ => addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) = addition(divergence(X1),forward_diamond(star(X1),domain(X2))) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KLE002+0.ax view
@@ -0,0 +1,90 @@+%------------------------------------------------------------------------------+% File : KLE002+0 : TPTP v7.2.0. Released v3.6.0.+% Domain : Kleene algebra+% Axioms : Kleene algebra+% Version : [Hoe08] axioms.+% English :++% Refs : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 16 ( 13 unit)+% Number of atoms : 19 ( 12 equality)+% Maximal formula depth : 5 ( 3 average)+% Number of connectives : 3 ( 0 ~ ; 0 |; 0 &)+% ( 1 <=>; 2 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 5 ( 2 constant; 0-2 arity)+% Number of variables : 30 ( 0 singleton; 30 !; 0 ?)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Additive idempotent monoid+fof(additive_commutativity,axiom,(+ ! [A,B] : addition(A,B) = addition(B,A) )).++fof(additive_associativity,axiom,(+ ! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )).++fof(additive_identity,axiom,(+ ! [A] : addition(A,zero) = A )).++fof(additive_idempotence,axiom,(+ ! [A] : addition(A,A) = A )).++%----Multiplicative and commutative monoid+fof(multiplicative_associativity,axiom,(+ ! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )).++fof(multiplicative_right_identity,axiom,(+ ! [A] : multiplication(A,one) = A )).++fof(multiplicative_left_identity,axiom,(+ ! [A] : multiplication(one,A) = A )).++%----Distributivity laws+fof(right_distributivity,axiom,(+ ! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )).++fof(left_distributivity,axiom,(+ ! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )).++%----Annihilation+fof(right_annihilation,axiom,(+ ! [A] : multiplication(A,zero) = zero )).++fof(left_annihilation,axiom,(+ ! [A] : multiplication(zero,A) = zero )).++%----Order+fof(order,axiom,(+ ! [A,B] :+ ( leq(A,B)+ <=> addition(A,B) = B ) )).++%----Finite iteration (star)++%----Unfold laws+fof(star_unfold_right,axiom,(+ ! [A] : leq(addition(one,multiplication(A,star(A))),star(A)) )).++fof(star_unfold_left,axiom,(+ ! [A] : leq(addition(one,multiplication(star(A),A)),star(A)) )).++%----Induction laws+fof(star_induction_left,axiom,(+ ! [A,B,C] :+ ( leq(addition(multiplication(A,B),C),B)+ => leq(multiplication(star(A),C),B) ) )).++fof(star_induction_right,axiom,(+ ! [A,B,C] :+ ( leq(addition(multiplication(A,B),C),A)+ => leq(multiplication(C,star(B)),A) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KLE003+0.ax view
@@ -0,0 +1,102 @@+%------------------------------------------------------------------------------+% File : KLE003+0 : TPTP v7.2.0. Released v3.6.0.+% Domain : Kleene Algebra+% Axioms : Omega algebra+% Version : [Hoe08] axioms.+% English :++% Refs : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 18 ( 14 unit)+% Number of atoms : 22 ( 13 equality)+% Maximal formula depth : 5 ( 3 average)+% Number of connectives : 4 ( 0 ~ ; 0 |; 0 &)+% ( 1 <=>; 3 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 6 ( 2 constant; 0-2 arity)+% Number of variables : 34 ( 0 singleton; 34 !; 0 ?)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Additive idempotent monoid+fof(additive_commutativity,axiom,(+ ! [A,B] : addition(A,B) = addition(B,A) )).++fof(additive_associativity,axiom,(+ ! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )).++fof(additive_identity,axiom,(+ ! [A] : addition(A,zero) = A )).++fof(additive_idempotence,axiom,(+ ! [A] : addition(A,A) = A )).++%----Multiplicative and commutative monoid+fof(multiplicative_associativity,axiom,(+ ! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )).++fof(multiplicative_right_identity,axiom,(+ ! [A] : multiplication(A,one) = A )).++fof(multiplicative_left_identity,axiom,(+ ! [A] : multiplication(one,A) = A )).++%----Distributivity laws+fof(right_distributivity,axiom,(+ ! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )).++fof(left_distributivity,axiom,(+ ! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )).++%----Annihilation+fof(right_annihilation,axiom,(+ ! [A] : multiplication(A,zero) = zero )).++fof(left_annihilation,axiom,(+ ! [A] : multiplication(zero,A) = zero )).++%----Order+fof(order,axiom,(+ ! [A,B] :+ ( leq(A,B)+ <=> addition(A,B) = B ) )).++%----Finite iteration (star)++%----Unfold laws+fof(star_unfold_right,axiom,(+ ! [A] : leq(addition(one,multiplication(A,star(A))),star(A)) )).++fof(star_unfold_left,axiom,(+ ! [A] : leq(addition(one,multiplication(star(A),A)),star(A)) )).++%----Induction laws+fof(star_induction_left,axiom,(+ ! [A,B,C] :+ ( leq(addition(multiplication(A,B),C),B)+ => leq(multiplication(star(A),C),B) ) )).++fof(star_induction_right,axiom,(+ ! [A,B,C] :+ ( leq(addition(multiplication(A,B),C),A)+ => leq(multiplication(C,star(B)),A) ) )).++%----Infinite iteration (omega)++%----Unfold law+fof(omega_unfold,axiom,(+ ! [A] : multiplication(A,omega(A)) = omega(A) )).++%----Co-Induction law+fof(omega_co_induction,axiom,(+ ! [A,B,C] :+ ( leq(A,addition(multiplication(B,A),C))+ => leq(A,addition(omega(B),multiplication(star(B),C))) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KLE004+0.ax view
@@ -0,0 +1,96 @@+%------------------------------------------------------------------------------+% File : KLE004+0 : TPTP v7.2.0. Released v3.6.0.+% Domain : Kleene Algebra+% Axioms : Demonic Refinement Algebra+% Version : [Hoe08] axioms.+% English :++% Refs : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 18 ( 14 unit)+% Number of atoms : 22 ( 15 equality)+% Maximal formula depth : 5 ( 3 average)+% Number of connectives : 4 ( 0 ~ ; 0 |; 0 &)+% ( 1 <=>; 3 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 6 ( 2 constant; 0-2 arity)+% Number of variables : 34 ( 0 singleton; 34 !; 0 ?)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Additive idempotent monoid+fof(additive_commutativity,axiom,(+ ! [A,B] : addition(A,B) = addition(B,A) )).++fof(additive_associativity,axiom,(+ ! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )).++fof(additive_identity,axiom,(+ ! [A] : addition(A,zero) = A )).++fof(idempotence,axiom,(+ ! [A] : addition(A,A) = A )).++%----Multiplicative and commutative monoid+fof(multiplicative_associativity,axiom,(+ ! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )).++fof(multiplicative_right_identity,axiom,(+ ! [A] : multiplication(A,one) = A )).++fof(multiplicative_left_identity,axiom,(+ ! [A] : multiplication(one,A) = A )).++%----Distributivity laws+fof(distributivity1,axiom,(+ ! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )).++fof(distributivity2,axiom,(+ ! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )).++%----Annihilation (right zero law)+fof(left_annihilation,axiom,(+ ! [A] : multiplication(zero,A) = zero )).++%----Kleene star+fof(star_unfold1,axiom,(+ ! [A] : addition(one,multiplication(A,star(A))) = star(A) )).++fof(star_unfold2,axiom,(+ ! [A] : addition(one,multiplication(star(A),A)) = star(A) )).++fof(star_induction1,axiom,(+ ! [A,B,C] :+ ( leq(addition(multiplication(A,C),B),C)+ => leq(multiplication(star(A),B),C) ) )).++fof(star_induction2,axiom,(+ ! [A,B,C] :+ ( leq(addition(multiplication(C,A),B),C)+ => leq(multiplication(B,star(A)),C) ) )).++%----Strong iteration+fof(infty_unfold1,axiom,(+ ! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one) )).++fof(infty_coinduction,axiom,(+ ! [A,B,C] :+ ( leq(C,addition(multiplication(A,C),B))+ => leq(C,multiplication(strong_iteration(A),B)) ) )).++fof(isolation,axiom,(+ ! [A] : strong_iteration(A) = addition(star(A),multiplication(strong_iteration(A),zero)) )).++%----Ordering+fof(order,axiom,(+ ! [A,B] :+ ( leq(A,B)+ <=> addition(A,B) = B ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KRS001+0.ax view
@@ -0,0 +1,166 @@+%------------------------------------------------------------------------------+% File : KRS001+0 : TPTP v7.2.0. Released v3.6.0.+% Domain : Knowledge Representation+% Axioms : SZS success ontology nodes+% Version : [Sut08] axioms.+% English :++% Refs : [Sut08] Sutcliffe (2008), The SZS Ontologies for Automated Rea+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 19 ( 0 unit)+% Number of atoms : 70 ( 0 equality)+% Maximal formula depth : 10 ( 7 average)+% Number of connectives : 63 ( 12 ~; 0 |; 24 &)+% ( 22 <=>; 5 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 2-3 arity)+% Number of functors : 20 ( 19 constant; 0-1 arity)+% Number of variables : 77 ( 0 sgn; 49 !; 28 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+fof(unp,axiom,(+ ! [Ax,C] :+ ( ( ~ ( ? [I1] : model(I1,Ax) )+ => ~ ( ? [I2] : model(I2,C) ) )+ <=> status(Ax,C,unp) ) )).++fof(sap,axiom,(+ ! [Ax,C] :+ ( ( ? [I1] : model(I1,Ax)+ => ? [I2] : model(I2,C) )+ <=> status(Ax,C,sap) ) )).++fof(esa,axiom,(+ ! [Ax,C] :+ ( ( ? [I1] : model(I1,Ax)+ <=> ? [I2] : model(I2,C) )+ <=> status(Ax,C,esa) ) )).++fof(sat,axiom,(+ ! [Ax,C] :+ ( ? [I1] :+ ( model(I1,Ax)+ & model(I1,C) )+ <=> status(Ax,C,sat) ) )).++fof(thm,axiom,(+ ! [Ax,C] :+ ( ! [I1] :+ ( model(I1,Ax)+ => model(I1,C) )+ <=> status(Ax,C,thm) ) )).++fof(eqv,axiom,(+ ! [Ax,C] :+ ( ( ? [I1] : model(I1,Ax)+ & ! [I2] :+ ( model(I2,Ax)+ <=> model(I2,C) ) )+ <=> status(Ax,C,eqv) ) )).++fof(tac,axiom,(+ ! [Ax,C] :+ ( ( ? [I1] : model(I1,Ax)+ & ! [I2] : model(I2,C) )+ <=> status(Ax,C,tac) ) )).++fof(wec,axiom,(+ ! [Ax,C] :+ ( ( ? [I1] : model(I1,Ax)+ & ! [I2] :+ ( model(I2,Ax)+ => model(I2,C) )+ & ? [I3] :+ ( model(I3,C)+ & ~ model(I3,Ax) ) )+ <=> status(Ax,C,wec) ) )).++fof(eth,axiom,(+ ! [Ax,C] :+ ( ( ? [I1] : model(I1,Ax)+ & ? [I2] : ~ model(I2,Ax)+ & ! [I3] :+ ( model(I3,Ax)+ <=> model(I3,C) ) )+ <=> status(Ax,C,eth) ) )).++fof(tau,axiom,(+ ! [Ax,C] :+ ( ! [I1] :+ ( model(I1,Ax)+ & model(I1,C) )+ <=> status(Ax,C,tau) ) )).++fof(wtc,axiom,(+ ! [Ax,C] :+ ( ( ? [I1] : model(I1,Ax)+ & ? [I2] : ~ model(I2,Ax)+ & ! [I3] : model(I3,C) )+ <=> status(Ax,C,wtc) ) )).++fof(wth,axiom,(+ ! [Ax,C] :+ ( ( ? [I1] : model(I1,Ax)+ & ! [I2] :+ ( model(I2,Ax)+ => model(I2,C) )+ & ? [I3] :+ ( model(I3,C)+ & ~ model(I3,Ax) )+ & ? [I4] : ~ model(I4,C) )+ <=> status(Ax,C,wth) ) )).++fof(cax,axiom,(+ ! [Ax,C] :+ ( ~ ( ? [I1] : model(I1,Ax) )+ <=> status(Ax,C,cax) ) )).++fof(sca,axiom,(+ ! [Ax,C] :+ ( ( ~ ( ? [I1] : model(I1,Ax) )+ & ? [I2] : model(I2,C) )+ <=> status(Ax,C,sca) ) )).++fof(tca,axiom,(+ ! [Ax,C] :+ ( ( ~ ( ? [I1] : model(I1,Ax) )+ & ! [I2] : model(I2,C) )+ <=> status(Ax,C,tca) ) )).++fof(wca,axiom,(+ ! [Ax,C] :+ ( ( ~ ( ? [I1] : model(I1,Ax) )+ & ? [I2] : model(I2,C)+ & ? [I3] : ~ model(I3,C) )+ <=> status(Ax,C,wca) ) )).++fof(csa,axiom,(+ ! [Ax,C] :+ ( ? [I1] :+ ( model(I1,Ax)+ & model(I1,not(C)) )+ <=> status(Ax,C,csa) ) )).++fof(uns,axiom,(+ ! [Ax,C] :+ ( ( ! [I1] : model(I1,Ax)+ & ! [I2] : model(I2,not(C)) )+ <=> status(Ax,C,uns) ) )).++fof(noc,axiom,(+ ! [Ax,C] :+ ( ( ? [I1] :+ ( model(I1,Ax)+ & model(I1,C) )+ & ? [I2] :+ ( model(I2,Ax)+ & model(I2,not(C)) ) )+ <=> status(Ax,C,noc) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/KRS001+1.ax view
@@ -0,0 +1,119 @@+%------------------------------------------------------------------------------+% File : KRS001+1 : TPTP v7.2.0. Bugfixed v5.4.0.+% Domain : Knowledge Representation+% Axioms : SZS success ontology node relationships+% Version : [Sut08] axioms.+% English :++% Refs : [Sut08] Sutcliffe (2008), The SZS Ontologies for Automated Rea+% Source : [Sut08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 13 ( 2 unit)+% Number of atoms : 36 ( 0 equality)+% Maximal formula depth : 9 ( 6 average)+% Number of connectives : 33 ( 10 ~; 1 |; 11 &)+% ( 6 <=>; 3 =>; 0 <=; 2 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 7 ( 0 propositional; 2-3 arity)+% Number of functors : 1 ( 0 constant; 1-1 arity)+% Number of variables : 45 ( 0 sgn; 23 !; 22 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+% Bugfixes : v5.4.0 - Added mixed_pair axiom.+%------------------------------------------------------------------------------+fof(mighta,axiom,(+ ! [S1,S2] :+ ( ? [Ax,C] :+ ( status(Ax,C,S1)+ & status(Ax,C,S2) )+ <=> mighta(S1,S2) ) )).++fof(isa,axiom,(+ ! [S1,S2] :+ ( ! [Ax,C] :+ ( status(Ax,C,S1)+ => status(Ax,C,S2) )+ <=> isa(S1,S2) ) )).++fof(nota,axiom,(+ ! [S1,S2] :+ ( ? [Ax,C] :+ ( status(Ax,C,S1)+ & ~ status(Ax,C,S2) )+ <=> nota(S1,S2) ) )).++fof(nevera,axiom,(+ ! [S1,S2] :+ ( ! [Ax,C] :+ ( status(Ax,C,S1)+ => ~ status(Ax,C,S2) )+ <=> nevera(S1,S2) ) )).++fof(xora,axiom,(+ ! [S1,S2] :+ ( ! [Ax,C] :+ ( status(Ax,C,S1)+ <~> status(Ax,C,S2) )+ <=> xora(S1,S2) ) )).++fof(completeness,axiom,(+ ! [I,F] :+ ( model(I,F)+ <~> model(I,not(F)) ) )).++fof(not,axiom,(+ ! [I,F] :+ ( model(I,F)+ <=> ~ model(I,not(F)) ) )).++fof(tautology,axiom,(+ ? [F] :+ ! [I] : model(I,F) )).++fof(satisfiable,axiom,(+ ? [F] :+ ( ? [I1] : model(I1,F)+ & ? [I2] : ~ model(I2,F) ) )).++fof(contradiction,axiom,(+ ? [F] :+ ! [I] : ~ model(I,F) )).++%----There exist axiom-conjecture pairs for which some interpretations make +%----both true and some interpretations make neither true.+fof(sat_non_taut_pair,axiom,(+ ? [Ax,C] :+ ( ? [I1] :+ ( model(I1,Ax)+ & model(I1,C) )+ & ? [I2] :+ ( ~ model(I2,Ax)+ | ~ model(I2,C) ) ) )).++%----There exist axiom conjecture pairs for which some interpretations make +%----the axioms true, every interpretation that makes the axioms true makes+%----the conjecture true, some interpretations make only the conjecture true, +%----and some interpretations don't make the conjecture true.+fof(mixed_pair,axiom,(+ ? [Ax,C] :+ ( ? [I1] : model(I1,Ax)+ & ! [I2] :+ ( model(I2,Ax)+ => model(I2,C) )+ & ? [I3] :+ ( ~ model(I3,Ax)+ & model(I3,C) )+ & ? [I4] : ~ model(I4,C) ) )).++%----There exist satisfiable axioms that do not imply a satisfiable conjecture+fof(non_thm_spt,axiom,(+ ? [I1,Ax,C] :+ ( model(I1,Ax)+ & ~ model(I1,C)+ & ? [I2] : model(I2,C) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL006+0.ax view
@@ -0,0 +1,144 @@+%------------------------------------------------------------------------------+% File : LCL006+0 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional)+% Axioms : Propositional logic rules and axioms+% Version : [She06] axioms.+% English :++% Refs : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [She06]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 26 ( 0 unit)+% Number of atoms : 55 ( 1 equality)+% Maximal formula depth : 6 ( 4 average)+% Number of connectives : 29 ( 0 ~ ; 0 |; 1 &)+% ( 26 <=>; 2 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 28 ( 26 propositional; 0-2 arity)+% Number of functors : 5 ( 0 constant; 1-2 arity)+% Number of variables : 55 ( 0 singleton; 55 !; 0 ?)+% Maximal term depth : 5 ( 3 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----The only explicit rule of PC. Uniform substitution is implemented by+%----universal quantification+fof(modus_ponens,axiom,+ ( modus_ponens+ <=> ! [X,Y] :+ ( ( is_a_theorem(X)+ & is_a_theorem(implies(X,Y)) )+ => is_a_theorem(Y) ) )).++%----Meta-rule of PC, which Ted says is not necessary+fof(substitution_of_equivalents,axiom,+ ( substitution_of_equivalents+ <=> ! [X,Y] :+ ( is_a_theorem(equiv(X,Y)) => X = Y ) )).++%----The axioms of Hilbert PC+fof(modus_tollens,axiom,+ ( modus_tollens+ <=> ! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))) )).++fof(implies_1,axiom,+ ( implies_1+ <=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) )).++fof(implies_2,axiom,+ ( implies_2+ <=> ! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))) )).++fof(implies_3,axiom,+ ( implies_3+ <=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )).++fof(and_1,axiom,+ ( and_1+ <=> ! [X,Y] : is_a_theorem(implies(and(X,Y),X)) )).++fof(and_2,axiom,+ ( and_2+ <=> ! [X,Y] : is_a_theorem(implies(and(X,Y),Y)) )).++fof(and_3,axiom,+ ( and_3+ <=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))) )).++fof(or_1,axiom,+ ( or_1+ <=> ! [X,Y] : is_a_theorem(implies(X,or(X,Y))) )).++fof(or_2,axiom,+ ( or_2+ <=> ! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) )).++fof(or_3,axiom,+ ( or_3+ <=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z)))) )).++fof(equivalence_1,axiom,+ ( equivalence_1+ <=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(X,Y))) )).++fof(equivalence_2,axiom,+ ( equivalence_2+ <=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X))) )).++fof(equivalence_3,axiom,+ ( equivalence_3+ <=> ! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y)))) )).++%----Axioms for Rosser+fof(kn1,axiom,+ ( kn1+ <=> ! [P] : is_a_theorem(implies(P,and(P,P))) ) ).++fof(kn2,axiom,+ ( kn2+ <=> ! [P,Q] : is_a_theorem(implies(and(P,Q),P)) ) ).++fof(kn3,axiom,+ ( kn3+ <=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) ) ).++%----Axioms for Luka+fof(cn1,axiom,+ ( cn1+ <=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) )).++fof(cn2,axiom,+ ( cn2+ <=> ! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) )).++fof(cn3,axiom,+ ( cn3+ <=> ! [P] : is_a_theorem(implies(implies(not(P),P),P)) )).++%----Axioms for Principia+fof(r1,axiom,+ ( r1+ <=> ! [P] : is_a_theorem(implies(or(P,P),P)) )).++fof(r2,axiom,+ ( r2+ <=> ! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) )).++fof(r3,axiom,+ ( r3+ <=> ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) )).++%----This is the dependent one+fof(r4,axiom,+ ( r4+ <=> ! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R)))) )).++fof(r5,axiom,+ ( r5+ <=> ! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R)))) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL006+1.ax view
@@ -0,0 +1,49 @@+%------------------------------------------------------------------------------+% File : LCL006+1 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional)+% Axioms : Propositional logic definitions+% Version : [She06] axioms.+% English :++% Refs : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [She06]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 5 ( 0 unit)+% Number of atoms : 10 ( 5 equality)+% Maximal formula depth : 4 ( 4 average)+% Number of connectives : 5 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 5 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 6 ( 5 propositional; 0-2 arity)+% Number of functors : 5 ( 0 constant; 1-2 arity)+% Number of variables : 10 ( 0 singleton; 10 !; 0 ?)+% Maximal term depth : 4 ( 3 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Definitions+fof(op_or,axiom,+ ( op_or+ => ! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )).++fof(op_and,axiom,+ ( op_and+ => ! [X,Y] : and(X,Y) = not(or(not(X),not(Y))) )).++fof(op_implies_and,axiom,+ ( op_implies_and+ => ! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )).++fof(op_implies_or,axiom,+ ( op_implies_or+ => ! [X,Y] : implies(X,Y) = or(not(X),Y) )).++fof(op_equiv,axiom,+ ( op_equiv+ => ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL006+2.ax view
@@ -0,0 +1,71 @@+%------------------------------------------------------------------------------+% File : LCL006+2 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional)+% Axioms : Hilbert's axiomatization of propositional logic+% Version : [HB34] axioms.+% English :++% Refs : [HB34] Hilbert & Bernays (1934), Grundlagen der Mathematick+% : [Hac66] Hackstaff (1966), Systems of Formal Logic+% : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [Hal]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 18 ( 18 unit)+% Number of atoms : 18 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 18 ( 18 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments : Requires LCL006+0, LCL006+1+%------------------------------------------------------------------------------+%----Operator definitions to reduce everything to and & not+fof(hilbert_op_or,axiom,op_or).++fof(hilbert_op_implies_and,axiom,op_implies_and).++fof(hilbert_op_equiv,axiom,op_equiv).++%----The one explicit rule+fof(hilbert_modus_ponens,axiom,modus_ponens).++%----The axioms+fof(hilbert_modus_tollens,axiom,modus_tollens).++fof(hilbert_implies_1,axiom,implies_1).++fof(hilbert_implies_2,axiom,implies_2).++fof(hilbert_implies_3,axiom,implies_3).++fof(hilbert_and_1,axiom,and_1).++fof(hilbert_and_2,axiom,and_2).++fof(hilbert_and_3,axiom,and_3).++fof(hilbert_or_1,axiom,or_1).++fof(hilbert_or_2,axiom,or_2).++fof(hilbert_or_3,axiom,or_3).++fof(hilbert_equivalence_1,axiom,equivalence_1).++fof(hilbert_equivalence_2,axiom,equivalence_2).++fof(hilbert_equivalence_3,axiom,equivalence_3).++%----Admissible but not required for completeness. With it much more can+%----be done.+fof(substitution_of_equivalents,axiom,substitution_of_equivalents).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL006+3.ax view
@@ -0,0 +1,50 @@+%------------------------------------------------------------------------------+% File : LCL006+3 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional)+% Axioms : Lukasiewicz's axiomatization of propositional logic+% Version : [Zem73] axioms.+% English :++% Refs : [Zem73] Zeman (1973), Modal Logic, the Lewis-Modal systems+% : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [Hal]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 8 ( 8 unit)+% Number of atoms : 8 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 8 ( 8 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments : Requires LCL006+0, LCL006+1+%------------------------------------------------------------------------------+%----Operator definitions to reduce everything to and & not+fof(luka_op_or,axiom,op_or).++fof(luka_op_implies,axiom,op_implies).++fof(luka_op_equiv,axiom,op_equiv).++%----The one explicit rule+fof(luka_modus_ponens,axiom,modus_ponens).++%----The axioms+fof(luka_cn1,axiom,cn1).++fof(luka_cn2,axiom,cn2).++fof(luka_cn3,axiom,cn3 ).++%----Admissible but not required for completeness. With it much more can+%----be done.+fof(substitution_of_equivalents,axiom,substitution_of_equivalents).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL006+4.ax view
@@ -0,0 +1,55 @@+%------------------------------------------------------------------------------+% File : LCL006+4 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional)+% Axioms : Principia's axiomatization of propositional logic+% Version : [RW10] axioms.+% English :++% Refs : [RW10] Russell & Whitehead (1910), Principia Mathmatica+% : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [Hal]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 10 ( 10 unit)+% Number of atoms : 10 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 10 ( 10 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments : Requires LCL006+0, LCL006+1+%------------------------------------------------------------------------------+%----Operator definitions to reduce everything to and & not+fof(principia_op_implies_or,axiom,op_implies_or).++fof(principia_op_and,axiom,op_and).++fof(principia_op_equiv,axiom,op_equiv).++%----The one explicit rule+fof(principia_modus_ponens,axiom,modus_ponens).++%----The axioms+fof(principia_r1,axiom,r1).++fof(principia_r2,axiom,r2).++fof(principia_r3,axiom,r3).++%----This is the redundant axiom in Principia+fof(principia_r4,axiom,r4).++fof(principia_r5,axiom,r5).++%----Admissible but not required for completeness. With it much more can+%----be done.+fof(substitution_of_equivalents,axiom,substitution_of_equivalents).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL006+5.ax view
@@ -0,0 +1,50 @@+%------------------------------------------------------------------------------+% File : LCL006+5 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional)+% Axioms : Rosser's axiomatization of propositional logic+% Version : [Zem73] axioms.+% English :++% Refs : [Zem73] Zeman (1973), Modal Logic, the Lewis-Modal systems+% : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [Hal]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 8 ( 8 unit)+% Number of atoms : 8 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 8 ( 8 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments : Requires LCL006+0, LCL006+1+%------------------------------------------------------------------------------+%----Operator definitions to reduce everything to and & not+fof(rosser_op_or,axiom,op_or).++fof(rosser_op_implies_and,axiom,op_implies_and).++fof(rosser_op_equiv,axiom,op_equiv).++%----The one explicit rule+fof(rosser_modus_ponens,axiom,modus_ponens).++%----The axioms+fof(rosser_kn1,axiom,kn1).++fof(rosser_kn2,axiom,kn2).++fof(rosser_kn3,axiom,kn3 ).++%----Admissible but not required for completeness. With it much more can+%----be done.+fof(substitution_of_equivalents,axiom,substitution_of_equivalents).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL007+0.ax view
@@ -0,0 +1,135 @@+%------------------------------------------------------------------------------+% File : LCL007+0 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional modal)+% Axioms : Propositional modal logic rules and axioms+% Version : [She06] axioms.+% English :++% Refs : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [She06]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 23 ( 0 unit)+% Number of atoms : 52 ( 1 equality)+% Maximal formula depth : 6 ( 4 average)+% Number of connectives : 29 ( 0 ~ ; 0 |; 2 &)+% ( 23 <=>; 4 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 25 ( 23 propositional; 0-2 arity)+% Number of functors : 7 ( 0 constant; 1-2 arity)+% Number of variables : 39 ( 0 singleton; 39 !; 0 ?)+% Maximal term depth : 5 ( 3 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Rules+fof(necessitation,axiom,+ ( necessitation+ <=> ! [X] :+ ( is_a_theorem(X)+ => is_a_theorem(necessarily(X)) ) )).++fof(modus_ponens_strict_implies,axiom,+ ( modus_ponens_strict_implies+ <=> ! [X,Y] :+ ( ( is_a_theorem(X)+ & is_a_theorem(strict_implies(X,Y)) )+ => is_a_theorem(Y) ) )).++fof(adjunction,axiom,+ ( adjunction+ <=> ! [X,Y] :+ ( ( is_a_theorem(X)+ & is_a_theorem(Y) )+ => is_a_theorem(and(X,Y)) ) )).++fof(substitution_strict_equiv,axiom,+ ( substitution_strict_equiv+ <=> ! [X,Y] :+ ( is_a_theorem(strict_equiv(X,Y))+ => X = Y ) )).++%----"Standard" modal axioms+fof(axiom_K,axiom,+ ( axiom_K+ <=> ! [X,Y] : is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y)))) )).++fof(axiom_M,axiom,+ ( axiom_M+ <=> ! [X] : is_a_theorem(implies(necessarily(X),X)) )).++fof(axiom_4,axiom,+ ( axiom_4+ <=> ! [X] : is_a_theorem(implies(necessarily(X),necessarily(necessarily(X)))) )).++fof(axiom_B,axiom,+ ( axiom_B+ <=> ! [X] : is_a_theorem(implies(X,necessarily(possibly(X)))) )).++fof(axiom_5,axiom,+ ( axiom_5+ <=> ! [X] : is_a_theorem(implies(possibly(X),necessarily(possibly(X)))) )).++%----Axioms for Lewis systems+fof(axiom_s1,axiom,+ ( axiom_s1+ <=> ! [X,Y,Z] : is_a_theorem(implies(and(necessarily(implies(X,Y)),necessarily(implies(Y,Z))),necessarily(implies(X,Z)))) )).++fof(axiom_s2,axiom,+ ( axiom_s2+ <=> ! [P,Q] : is_a_theorem(strict_implies(possibly(and(P,Q)),and(possibly(P),possibly(Q)))) )).++fof(axiom_s3,axiom,+ ( axiom_s3+ <=> ! [X,Y] : is_a_theorem(strict_implies(strict_implies(X,Y),strict_implies(not(possibly(Y)),not(possibly(X))))) )).++fof(axiom_s4,axiom,+ ( axiom_s4+ <=> ! [X] : is_a_theorem(strict_implies(necessarily(X),necessarily(necessarily(X)))) )).++%----Axioms for S1-0+fof(axiom_m1,axiom,+ ( axiom_m1+ <=> ! [X,Y] : is_a_theorem(strict_implies(and(X,Y),and(Y,X))) )).++fof(axiom_m2,axiom,+ ( axiom_m2+ <=> ! [X,Y] : is_a_theorem(strict_implies(and(X,Y),X)) )).++fof(axiom_m3,axiom,+ ( axiom_m3+ <=> ! [X,Y,Z] : is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z)))) )).++fof(axiom_m4,axiom,+ ( axiom_m4+ <=> ! [X] : is_a_theorem(strict_implies(X,and(X,X))) )).++fof(axiom_m5,axiom,+ ( axiom_m5+ <=> ! [X,Y,Z] : is_a_theorem(strict_implies(and(strict_implies(X,Y),strict_implies(Y,Z)),strict_implies(X,Z))) )).++%----Axioms for building from S1-0+fof(axiom_m6,axiom,+ ( axiom_m6+ <=> ! [X] : is_a_theorem(strict_implies(X,possibly(X))) )).++fof(axiom_m7,axiom,+ ( axiom_m7+ <=> ! [P,Q] : is_a_theorem(strict_implies(possibly(and(P,Q)),P)) )).++fof(axiom_m8,axiom,+ ( axiom_m8+ <=> ! [P,Q] : is_a_theorem(strict_implies(strict_implies(P,Q),strict_implies(possibly(P),possibly(Q)))) )).++fof(axiom_m9,axiom,+ ( axiom_m9+ <=> ! [X] : is_a_theorem(strict_implies(possibly(possibly(X)),possibly(X))) )).++fof(axiom_m10,axiom,+ ( axiom_m10+ <=> ! [X] : is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X)))) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL007+1.ax view
@@ -0,0 +1,45 @@+%------------------------------------------------------------------------------+% File : LCL007+1 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional modal)+% Axioms : Propositional modal logic definitions+% Version : [She06] axioms.+% English :++% Refs : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [She06]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 4 ( 0 unit)+% Number of atoms : 8 ( 4 equality)+% Maximal formula depth : 4 ( 4 average)+% Number of connectives : 4 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 4 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 5 ( 4 propositional; 0-2 arity)+% Number of functors : 7 ( 0 constant; 1-2 arity)+% Number of variables : 6 ( 0 singleton; 6 !; 0 ?)+% Maximal term depth : 4 ( 3 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Definitions+fof(op_possibly,axiom,+ ( op_possibly+ => ! [X] : possibly(X) = not(necessarily(not(X))) )).++fof(op_necessarily,axiom,+ ( op_necessarily+ => ! [X] : necessarily(X) = not(possibly(not(X))) )).++fof(op_strict_implies,axiom,+ ( op_strict_implies+ => ! [X,Y] : strict_implies(X,Y) = necessarily(implies(X,Y)) )).++fof(op_strict_equiv,axiom,+ ( op_strict_equiv+ => ! [X,Y] : strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL007+2.ax view
@@ -0,0 +1,42 @@+%------------------------------------------------------------------------------+% File : LCL007+2 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional modal)+% Axioms : KM5 axiomatization of S5 based on Hilbert's PC+% Version : [HC96] axioms.+% English :++% Refs : [HC96] Hughes & Cresswell (1996), A New Introduction to Modal+% : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [Hal]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 5 ( 5 unit)+% Number of atoms : 5 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 5 ( 5 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments : Requires LCL006+0, LCL006+1, LCL006+2 LCL007+0 LCL007+1+%------------------------------------------------------------------------------+%----Modal definitions+fof(km5_op_possibly,axiom,op_possibly).++%----Modal rules+fof(km5_necessitation,axiom,necessitation).++%----Modal axioms+fof(km5_axiom_K,axiom,axiom_K).++fof(km5_axiom_M,axiom,axiom_M).++fof(km5_axiom_5,axiom,axiom_5).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL007+3.ax view
@@ -0,0 +1,44 @@+%------------------------------------------------------------------------------+% File : LCL007+3 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional modal)+% Axioms : KM4B axiomatization of S5 based on Hilbert's PC+% Version : [HC96] axioms.+% English :++% Refs : [HC96] Hughes & Cresswell (1996), A New Introduction to Modal+% : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [Hal]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 6 ( 6 unit)+% Number of atoms : 6 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 6 ( 6 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments : Requires LCL006+0, LCL006+1, LCL006+2 LCL007+0 LCL007+1+%------------------------------------------------------------------------------+%----Modal definitions+fof(km4b_op_possibly,axiom,op_possibly).++%----Modal rules+fof(km4b_necessitation,axiom,necessitation).++%----Modal axioms+fof(km4b_axiom_K,axiom,axiom_K).++fof(km4b_axiom_M,axiom,axiom_M).++fof(km4b_axiom_4,axiom,axiom_4).++fof(km4b_axiom_B,axiom,axiom_B).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL007+4.ax view
@@ -0,0 +1,60 @@+%------------------------------------------------------------------------------+% File : LCL007+4 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional modal)+% Axioms : Axiomatization of S1-0+% Version : [Fey50] axioms.+% English :++% Refs : [Fey50] Feys (1950), Les systemes formalises de modalites aris+% : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [Hal]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 14 ( 14 unit)+% Number of atoms : 14 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 14 ( 14 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments : Requires LCL006+1, LCL007+0, LCL007+1+%------------------------------------------------------------------------------+%----Modal definitions+fof(s1_0_op_possibly,axiom,op_possibly).++fof(s1_0_op_or,axiom,op_or).++fof(s1_0_op_implies,axiom,op_implies).++fof(s1_0_op_strict_implies,axiom,op_strict_implies).++fof(s1_0_op_equiv,axiom,op_equiv).++fof(s1_0_op_strict_equiv,axiom,op_strict_equiv).++%----Modal rules+fof(s1_0_modus_ponens_strict_implies,axiom,modus_ponens_strict_implies).++fof(s1_0_substitution_strict_equiv,axiom,substitution_strict_equiv).++fof(s1_0_adjunction,axiom,adjunction).++%----Modal axioms+fof(s1_0_axiom_m1,axiom,axiom_m1).++fof(s1_0_axiom_m2,axiom,axiom_m2).++fof(s1_0_axiom_m3,axiom,axiom_m3).++fof(s1_0_axiom_m4,axiom,axiom_m4).++fof(s1_0_axiom_m5,axiom,axiom_m5).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL007+5.ax view
@@ -0,0 +1,38 @@+%------------------------------------------------------------------------------+% File : LCL007+5 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional modal)+% Axioms : M6S3M9B axiomatization of S5 based on S1-0+% Version : [Zem73] axioms.+% English :++% Refs : [Zem73] Zeman (1973), Modal Logic, the Lewis-Modal systems+% : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [Hal]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 4 ( 4 unit)+% Number of atoms : 4 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 4 ( 4 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments : Requires LCL006+1, LCL007+0, LCL007+1, LCL007+4.ax+%------------------------------------------------------------------------------+%----Modal axioms+fof(s1_0_m6s3m9b_axiom_m6,axiom,axiom_m6).++fof(s1_0_m6s3m9b_axiom_s3,axiom,axiom_s3).++fof(s1_0_m6s3m9b_axiom_m9,axiom,axiom_m9).++fof(s1_0_m6s3m9b_axiom_b,axiom,axiom_b).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/LCL007+6.ax view
@@ -0,0 +1,32 @@+%------------------------------------------------------------------------------+% File : LCL007+6 : TPTP v7.2.0. Released v3.3.0.+% Domain : Logic Calculi (Propositional modal)+% Axioms : M10 axiomatization of S5 based on S1-0+% Version : [Zem73] axioms.+% English :++% Refs : [Zem73] Zeman (1973), Modal Logic, the Lewis-Modal systems+% : [Hal] Halleck (URL), John Halleck's Logic Systems+% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal+% Source : [Hal]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 1 ( 1 unit)+% Number of atoms : 1 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 1 ( 1 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments : Requires LCL006+1, LCL007+0, LCL007+1, LCL007+4.ax+%------------------------------------------------------------------------------+%----Modal axioms+fof(s1_0_m10_axiom_m10,axiom,axiom_m10).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/MED001+0.ax view
@@ -0,0 +1,178 @@+%------------------------------------------------------------------------------+% File : MED001+0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Medicine+% Axioms : Physiology Diabetes Mellitus type 2+% Version : [HLB05] axioms : Especial.+% English : Physiological mechanisms of diabetes mellitus type 2++% Refs : [HLB05] Hommersom et al. (2005), Automated Theorem Proving for+% : [Hom06] Hommersom (2006), Email to G. Sutcliffe+% Source : [Hom06]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 18 ( 1 unit)+% Number of atoms : 76 ( 0 equality)+% Maximal formula depth : 9 ( 6 average)+% Number of connectives : 95 ( 37 ~ ; 12 |; 15 &)+% ( 0 <=>; 31 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 15 ( 0 propositional; 1-2 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 42 ( 0 singleton; 42 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+fof(irreflexivity_gt,axiom,(+ ! [X] : ~ gt(X,X) )).++fof(transitivity_gt,axiom,(+ ! [X,Y,Z] :+ ( ( gt(X,Y)+ & gt(Y,Z) )+ => gt(X,Z) ) )).++fof(xorcapacity1,axiom,(+ ! [X0] :+ ( bcapacityne(X0)+ | bcapacityex(X0)+ | bcapacitysn(X0) ) )).++fof(xorcapacity2,axiom,(+ ! [X0] :+ ( ~ bcapacityne(X0)+ | ~ bcapacityex(X0) ) )).++fof(xorcapacity3,axiom,(+ ! [X0] :+ ( ~ bcapacityne(X0)+ | ~ bcapacitysn(X0) ) )).++fof(xorcapacity4,axiom,(+ ! [X0] :+ ( ~ bcapacityex(X0)+ | ~ bcapacitysn(X0) ) )).++fof(xorcondition1,axiom,(+ ! [X0] :+ ( conditionhyper(X0)+ | conditionhypo(X0)+ | conditionnormo(X0) ) )).++fof(xorcondition2,axiom,(+ ! [X0] :+ ( ~ conditionhyper(X0)+ | ~ conditionhypo(X0) ) )).++fof(xorcondition3,axiom,(+ ! [X0] :+ ( ~ conditionhyper(X0)+ | ~ conditionnormo(X0) ) )).++fof(xorcondition4,axiom,(+ ! [X0] :+ ( ~ conditionhypo(X0)+ | ~ conditionnormo(X0) ) )).++fof(insulin_effect,axiom,(+ ! [X0] :+ ( ! [X1] :+ ( ~ gt(X0,X1)+ => drugi(X1) )+ => ! [X1] :+ ( ~ gt(X0,X1)+ => ( uptakelg(X1)+ & uptakepg(X1) ) ) ) )).++fof(liver_glucose,axiom,(+ ! [X0,X1] :+ ( ~ gt(X0,X1)+ => ( uptakelg(X1)+ => ~ releaselg(X1) ) ) )).++fof(sulfonylurea_effect,axiom,(+ ! [X0] :+ ( ( ! [X1] :+ ( ~ gt(X0,X1)+ => drugsu(X1) )+ & ~ bcapacityex(X0) )+ => ! [X1] :+ ( ~ gt(X0,X1)+ => bsecretioni(X1) ) ) )).++fof(biguanide_effect,axiom,(+ ! [X0] :+ ( ! [X1] :+ ( ~ gt(X0,X1)+ => drugbg(X1) )+ => ! [X1] :+ ( ~ gt(X0,X1)+ => ~ releaselg(X1) ) ) )).++fof(sn_cure_1,axiom,(+ ! [X0] :+ ( ( ! [X1] :+ ( ~ gt(X0,X1)+ => bsecretioni(X1) )+ & bcapacitysn(X0)+ & qilt27(X0)+ & ! [X1] :+ ( gt(X0,X1)+ => conditionhyper(X1) ) )+ => ! [X1] :+ ( ~ gt(X0,X1)+ => conditionnormo(X1) ) ) )).++fof(sn_cure_2,axiom,(+ ! [X0] :+ ( ( ! [X1] :+ ( ~ gt(X0,X1)+ => ~ releaselg(X1) )+ & bcapacitysn(X0)+ & ~ qilt27(X0)+ & ! [X1] :+ ( gt(X0,X1)+ => conditionhyper(X1) ) )+ => ! [X1] :+ ( ~ gt(X0,X1)+ => conditionnormo(X1) ) ) )).++fof(ne_cure,axiom,(+ ! [X0] :+ ( ( ( ! [X1] :+ ( ~ gt(X0,X1)+ => ~ releaselg(X1) )+ | ! [X1] :+ ( ~ gt(X0,X1)+ => uptakepg(X1) ) )+ & bcapacityne(X0)+ & ! [X1] :+ ( ~ gt(X0,X1)+ => bsecretioni(X1) )+ & ! [X1] :+ ( gt(X0,X1)+ => conditionhyper(X1) ) )+ => ! [X1] :+ ( ~ gt(X0,X1)+ => conditionnormo(X1) ) ) )).++fof(ex_cure,axiom,(+ ! [X0] :+ ( ( ! [X1] :+ ( ~ gt(X0,X1)+ => uptakelg(X1) )+ & ! [X1] :+ ( ~ gt(X0,X1)+ => uptakepg(X1) )+ & bcapacityex(X0)+ & ! [X1] :+ ( gt(X0,X1)+ => conditionhyper(X1) ) )+ => ! [X1] :+ ( ~ gt(X0,X1)+ => ( conditionnormo(X1)+ | conditionhypo(X1) ) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/MED001+1.ax view
@@ -0,0 +1,236 @@+%------------------------------------------------------------------------------+% File : MED001+1 : TPTP v7.2.0. Released v3.2.0.+% Domain : Medicine+% Axioms : "Completed" Physiology Diabetes Mellitus type 2+% Version : [HLB05] axioms : Especial.+% English : Completed theory of diabetes mellitus type 2 mechanisms++% Refs : [HLB05] Hommersom et al. (2005), Automated Theorem Proving for+% : [Hom06] Hommersom (2006), Email to G. Sutcliffe+% Source : [Hom06]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 22 ( 0 unit)+% Number of atoms : 114 ( 0 equality)+% Maximal formula depth : 12 ( 6 average)+% Number of connectives : 137 ( 45 ~ ; 21 |; 30 &)+% ( 0 <=>; 41 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 19 ( 0 propositional; 1-2 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 51 ( 0 singleton; 48 !; 3 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires MED001+0.ax+%------------------------------------------------------------------------------+fof(xorstep1,axiom,(+ ! [X0] :+ ( s0(X0)+ | s1(X0)+ | s2(X0)+ | s3(X0) ) )).++fof(xorstep2,axiom,(+ ! [X0] :+ ( ~ s0(X0)+ | ~ s1(X0) ) )).++fof(xorstep3,axiom,(+ ! [X0] :+ ( ~ s0(X0)+ | ~ s2(X0) ) )).++fof(xorstep4,axiom,(+ ! [X0] :+ ( ~ s0(X0)+ | ~ s3(X0) ) )).++fof(xorstep5,axiom,(+ ! [X0] :+ ( ~ s1(X0)+ | ~ s2(X0) ) )).++fof(xorstep6,axiom,(+ ! [X0] :+ ( ~ s1(X0)+ | ~ s3(X0) ) )).++fof(xorstep7,axiom,(+ ! [X0] :+ ( ~ s2(X0)+ | ~ s3(X0) ) )).++fof(normo,axiom,(+ ! [X0] :+ ( ! [X1] :+ ( ~ gt(X0,X1)+ => conditionnormo(X1) )+ => ( ( ! [X1] :+ ( ~ gt(X0,X1)+ => bsecretioni(X1) )+ & bcapacitysn(X0)+ & qilt27(X0)+ & ! [X1] :+ ( gt(X0,X1)+ => conditionhyper(X1) ) )+ | ( ! [X1] :+ ( ~ gt(X0,X1)+ => ~ releaselg(X1) )+ & bcapacitysn(X0)+ & ~ qilt27(X0)+ & ! [X1] :+ ( gt(X0,X1)+ => conditionhyper(X1) ) )+ | ( ( ! [X1] :+ ( ~ gt(X0,X1)+ => ~ releaselg(X1) )+ | ! [X1] :+ ( ~ gt(X0,X1)+ => uptakepg(X1) ) )+ & bcapacityne(X0)+ & ! [X1] :+ ( ~ gt(X0,X1)+ => bsecretioni(X1) )+ & ! [X1] :+ ( gt(X0,X1)+ => conditionhyper(X1) ) )+ | ( ! [X1] :+ ( ~ gt(X0,X1)+ => uptakelg(X1) )+ & ! [X1] :+ ( ~ gt(X0,X1)+ => uptakepg(X1) )+ & bcapacityex(X0)+ & ! [X1] :+ ( gt(X0,X1)+ => conditionhyper(X1) ) ) ) ) )).++fof(step1,axiom,(+ ! [X0] :+ ( ( s1(X0)+ & qilt27(X0) )+ => drugsu(X0) ) )).++fof(step2,axiom,(+ ! [X0] :+ ( ( s1(X0)+ & ~ qilt27(X0) )+ => drugbg(X0) ) )).++fof(step3,axiom,(+ ! [X0] :+ ( s2(X0)+ => ( drugbg(X0)+ & drugsu(X0) ) ) )).++fof(step4,axiom,(+ ! [X0] :+ ( s3(X0)+ => ( ( drugi(X0)+ & ( drugsu(X0)+ | drugbg(X0) ) )+ | drugi(X0) ) ) )).++fof(bgcomp,axiom,(+ ! [X0] :+ ( drugbg(X0)+ => ( ( s1(X0)+ & ~ qilt27(X0) )+ | s2(X0)+ | s3(X0) ) ) )).++fof(sucomp,axiom,(+ ! [X0] :+ ( drugsu(X0)+ => ( ( s1(X0)+ & qillt27(X0) )+ | s2(X0)+ | s3(X0) ) ) )).++fof(insulincomp,axiom,(+ ! [X0] :+ ( drugi(X0)+ => s3(X0) ) )).++fof(insulin_completion,axiom,(+ ! [X0] :+ ( ( ! [X1] :+ ( ~ gt(X0,X1)+ => uptakelg(X1) )+ | ! [X1] :+ ( ~ gt(X0,X1)+ => uptakepg(X1) ) )+ => ! [X1] :+ ( ~ gt(X0,X1)+ => drugi(X1) ) ) )).++fof(uptake_completion,axiom,(+ ! [X0,X1] :+ ( ~ gt(X0,X1)+ => ( ~ releaselg(X1)+ => uptakelg(X1) ) ) )).++fof(su_completion,axiom,(+ ! [X0] :+ ( ! [X1] :+ ( ~ gt(X0,X1)+ => bsecretioni(X1) )+ => ( ! [X1] :+ ( ~ gt(X0,X1)+ => drugsu(X1) )+ & ~ bcapacityex(X0) ) ) )).++fof(bg_completion,axiom,(+ ! [X0] :+ ( ! [X1] :+ ( ~ gt(X0,X1)+ => ~ releaselg(X1) )+ => ! [X1] :+ ( ~ gt(X0,X1)+ => drugbg(X1) ) ) )).++fof(trans_ax1,axiom,(+ ! [X0] :+ ( ( s0(X0)+ & ~ ! [X1] :+ ( ~ gt(X0,X1)+ => conditionnormo(X1) ) )+ => ? [X1] :+ ( ~ gt(X0,X1)+ & s1(X1)+ & ! [X2] :+ ( gt(X1,X2)+ => conditionhyper(X2) ) ) ) )).++fof(trans_ax2,axiom,(+ ! [X0] :+ ( ( s1(X0)+ & ~ ! [X1] :+ ( ~ gt(X0,X1)+ => conditionnormo(X1) ) )+ => ? [X1] :+ ( ~ gt(X0,X1)+ & s2(X1)+ & ! [X2] :+ ( gt(X1,X2)+ => conditionhyper(X2) )+ & ( bcapacityne(X1)+ | bcapacityex(X1) ) ) ) )).++fof(trans_ax3,axiom,(+ ! [X0] :+ ( ( s2(X0)+ & ~ ! [X1] :+ ( ~ gt(X0,X1)+ => conditionnormo(X1) ) )+ => ? [X1] :+ ( ~ gt(X0,X1)+ & s3(X1)+ & ! [X2] :+ ( gt(X1,X2)+ => conditionhyper(X2) )+ & bcapacityex(X1) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/MGT001+0.ax view
@@ -0,0 +1,98 @@+%--------------------------------------------------------------------------+% File : MGT001+0 : TPTP v7.2.0. Released v2.4.0.+% Domain : Management (Organisation Theory)+% Axioms : Inequalities.+% Version : [Han98] axioms.+% English :++% Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe+% [CH00] Carroll & Hannan (2000), The Demography of Corporation+% [Han98] Hannan (1998), Rethinking Age Dependence in Organizati+% Source : [Kam00]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 6 ( 0 unit)+% Number of atoms : 16 ( 3 equality)+% Maximal formula depth : 6 ( 5 average)+% Number of connectives : 11 ( 1 ~ ; 4 |; 2 &)+% ( 3 <=>; 1 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 5 ( 0 propositional; 2-2 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 13 ( 0 singleton; 13 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+%----Definition of smaller_or_equal (i.t.o. smaller and equal).+fof(definition_smaller_or_equal,axiom,+ ( ! [X,Y] :+ ( smaller_or_equal(X,Y)+ <=> ( smaller(X,Y)+ | X = Y ) ) )).++%%----Definition of smaller_or_equal (i.t.o. greater).+%input_formula(definition_smaller_or_equal, axiom, (+% ! [X,Y] :+% ( smaller_or_equal(X,Y)+% <=> ( ~ greater(X,Y) ) ) )).++%----Definition of greater_or_equal (i.t.o. greater and equal).+fof(definition_greater_or_equal,axiom,+ ( ! [X,Y] :+ ( greater_or_equal(X,Y)+ <=> ( greater(X,Y)+ | X = Y ) ) )).++%%----Definition of greater_or_equal (i.t.o. greater and equal).+%input_formula(definition_greater_or_equal, axiom, (+% ! [X,Y] :+% ( greater_or_equal(X,Y)+% <=> ( ~ greater(Y,X) ) ) )).++%----Definition of smaller (i.t.o. greater).+fof(definition_smaller,axiom,+ ( ! [X,Y] :+ ( smaller(X,Y)+ <=> greater(Y,X) ) )).++%----Our notion of greater is strict (irreflexive and antisymmetric).+fof(meaning_postulate_greater_strict,axiom,+ ( ! [X,Y] : ~ ( greater(X,Y)+ & greater(Y,X) ) )).++%%----Derivable from above.+%input_formula(meaning_postulate_greater_strict2, axiom, (+% ! [X] :+% ( ~ greater(X,X) ) )).++%----Our notion of greater is transitive.+fof(meaning_postulate_greater_transitive,axiom,+ ( ! [X,Y,Z] :+ ( ( greater(X,Y)+ & greater(Y,Z) )+ => greater(X,Z) ) )).++%----Hazards of mortality are comparable.+%input_formula(background_ass_a1, axiom, (+% ! [X,T0,T] :+% ( organization(X)+% => ( ( greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))+% | equal(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )+% => smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) )).++%----Trichotomy statement for everything.+%input_formula(meaning_postulate_greater_comparable, axiom, (+% ! [X,Y] :+% ( greater(Y,X)+% | equal(X,Y)+% | greater(X,Y) ) )).+fof(meaning_postulate_greater_comparable,axiom,+ ( ! [X,Y] :+ ( smaller(X,Y)+ | X = Y+ | greater(X,Y) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/NUM005+0.ax view
@@ -0,0 +1,795 @@+%------------------------------------------------------------------------------+% File : NUM005+0 : TPTP v7.2.0. Released v3.1.0.+% Domain : Number Theory+% Axioms : Translating from nXXX to rdn notation+% Version : Especial.+% English : RDN format is "Reverse Decimal Notation". It stores the digits+% of a decimal integer in reverse order.++% Refs :+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 256 ( 256 unit)+% Number of atoms : 256 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 260 ( 256 constant; 0-2 arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 5 ( 3 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+fof(rdn0,axiom,(+ rdn_translate(n0,rdn_pos(rdnn(n0))) )).++fof(rdn1,axiom,(+ rdn_translate(n1,rdn_pos(rdnn(n1))) )).++fof(rdn2,axiom,(+ rdn_translate(n2,rdn_pos(rdnn(n2))) )).++fof(rdn3,axiom,(+ rdn_translate(n3,rdn_pos(rdnn(n3))) )).++fof(rdn4,axiom,(+ rdn_translate(n4,rdn_pos(rdnn(n4))) )).++fof(rdn5,axiom,(+ rdn_translate(n5,rdn_pos(rdnn(n5))) )).++fof(rdn6,axiom,(+ rdn_translate(n6,rdn_pos(rdnn(n6))) )).++fof(rdn7,axiom,(+ rdn_translate(n7,rdn_pos(rdnn(n7))) )).++fof(rdn8,axiom,(+ rdn_translate(n8,rdn_pos(rdnn(n8))) )).++fof(rdn9,axiom,(+ rdn_translate(n9,rdn_pos(rdnn(n9))) )).++fof(rdn10,axiom,(+ rdn_translate(n10,rdn_pos(rdn(rdnn(n0),rdnn(n1)))) )).++fof(rdn11,axiom,(+ rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1)))) )).++fof(rdn12,axiom,(+ rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))) )).++fof(rdn13,axiom,(+ rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))) )).++fof(rdn14,axiom,(+ rdn_translate(n14,rdn_pos(rdn(rdnn(n4),rdnn(n1)))) )).++fof(rdn15,axiom,(+ rdn_translate(n15,rdn_pos(rdn(rdnn(n5),rdnn(n1)))) )).++fof(rdn16,axiom,(+ rdn_translate(n16,rdn_pos(rdn(rdnn(n6),rdnn(n1)))) )).++fof(rdn17,axiom,(+ rdn_translate(n17,rdn_pos(rdn(rdnn(n7),rdnn(n1)))) )).++fof(rdn18,axiom,(+ rdn_translate(n18,rdn_pos(rdn(rdnn(n8),rdnn(n1)))) )).++fof(rdn19,axiom,(+ rdn_translate(n19,rdn_pos(rdn(rdnn(n9),rdnn(n1)))) )).++fof(rdn20,axiom,(+ rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))) )).++fof(rdn21,axiom,(+ rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))) )).++fof(rdn22,axiom,(+ rdn_translate(n22,rdn_pos(rdn(rdnn(n2),rdnn(n2)))) )).++fof(rdn23,axiom,(+ rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))) )).++fof(rdn24,axiom,(+ rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))) )).++fof(rdn25,axiom,(+ rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))) )).++fof(rdn26,axiom,(+ rdn_translate(n26,rdn_pos(rdn(rdnn(n6),rdnn(n2)))) )).++fof(rdn27,axiom,(+ rdn_translate(n27,rdn_pos(rdn(rdnn(n7),rdnn(n2)))) )).++fof(rdn28,axiom,(+ rdn_translate(n28,rdn_pos(rdn(rdnn(n8),rdnn(n2)))) )).++fof(rdn29,axiom,(+ rdn_translate(n29,rdn_pos(rdn(rdnn(n9),rdnn(n2)))) )).++fof(rdn30,axiom,(+ rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))) )).++fof(rdn31,axiom,(+ rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))) )).++fof(rdn32,axiom,(+ rdn_translate(n32,rdn_pos(rdn(rdnn(n2),rdnn(n3)))) )).++fof(rdn33,axiom,(+ rdn_translate(n33,rdn_pos(rdn(rdnn(n3),rdnn(n3)))) )).++fof(rdn34,axiom,(+ rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))) )).++fof(rdn35,axiom,(+ rdn_translate(n35,rdn_pos(rdn(rdnn(n5),rdnn(n3)))) )).++fof(rdn36,axiom,(+ rdn_translate(n36,rdn_pos(rdn(rdnn(n6),rdnn(n3)))) )).++fof(rdn37,axiom,(+ rdn_translate(n37,rdn_pos(rdn(rdnn(n7),rdnn(n3)))) )).++fof(rdn38,axiom,(+ rdn_translate(n38,rdn_pos(rdn(rdnn(n8),rdnn(n3)))) )).++fof(rdn39,axiom,(+ rdn_translate(n39,rdn_pos(rdn(rdnn(n9),rdnn(n3)))) )).++fof(rdn40,axiom,(+ rdn_translate(n40,rdn_pos(rdn(rdnn(n0),rdnn(n4)))) )).++fof(rdn41,axiom,(+ rdn_translate(n41,rdn_pos(rdn(rdnn(n1),rdnn(n4)))) )).++fof(rdn42,axiom,(+ rdn_translate(n42,rdn_pos(rdn(rdnn(n2),rdnn(n4)))) )).++fof(rdn43,axiom,(+ rdn_translate(n43,rdn_pos(rdn(rdnn(n3),rdnn(n4)))) )).++fof(rdn44,axiom,(+ rdn_translate(n44,rdn_pos(rdn(rdnn(n4),rdnn(n4)))) )).++fof(rdn45,axiom,(+ rdn_translate(n45,rdn_pos(rdn(rdnn(n5),rdnn(n4)))) )).++fof(rdn46,axiom,(+ rdn_translate(n46,rdn_pos(rdn(rdnn(n6),rdnn(n4)))) )).++fof(rdn47,axiom,(+ rdn_translate(n47,rdn_pos(rdn(rdnn(n7),rdnn(n4)))) )).++fof(rdn48,axiom,(+ rdn_translate(n48,rdn_pos(rdn(rdnn(n8),rdnn(n4)))) )).++fof(rdn49,axiom,(+ rdn_translate(n49,rdn_pos(rdn(rdnn(n9),rdnn(n4)))) )).++fof(rdn50,axiom,(+ rdn_translate(n50,rdn_pos(rdn(rdnn(n0),rdnn(n5)))) )).++fof(rdn51,axiom,(+ rdn_translate(n51,rdn_pos(rdn(rdnn(n1),rdnn(n5)))) )).++fof(rdn52,axiom,(+ rdn_translate(n52,rdn_pos(rdn(rdnn(n2),rdnn(n5)))) )).++fof(rdn53,axiom,(+ rdn_translate(n53,rdn_pos(rdn(rdnn(n3),rdnn(n5)))) )).++fof(rdn54,axiom,(+ rdn_translate(n54,rdn_pos(rdn(rdnn(n4),rdnn(n5)))) )).++fof(rdn55,axiom,(+ rdn_translate(n55,rdn_pos(rdn(rdnn(n5),rdnn(n5)))) )).++fof(rdn56,axiom,(+ rdn_translate(n56,rdn_pos(rdn(rdnn(n6),rdnn(n5)))) )).++fof(rdn57,axiom,(+ rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))) )).++fof(rdn58,axiom,(+ rdn_translate(n58,rdn_pos(rdn(rdnn(n8),rdnn(n5)))) )).++fof(rdn59,axiom,(+ rdn_translate(n59,rdn_pos(rdn(rdnn(n9),rdnn(n5)))) )).++fof(rdn60,axiom,(+ rdn_translate(n60,rdn_pos(rdn(rdnn(n0),rdnn(n6)))) )).++fof(rdn61,axiom,(+ rdn_translate(n61,rdn_pos(rdn(rdnn(n1),rdnn(n6)))) )).++fof(rdn62,axiom,(+ rdn_translate(n62,rdn_pos(rdn(rdnn(n2),rdnn(n6)))) )).++fof(rdn63,axiom,(+ rdn_translate(n63,rdn_pos(rdn(rdnn(n3),rdnn(n6)))) )).++fof(rdn64,axiom,(+ rdn_translate(n64,rdn_pos(rdn(rdnn(n4),rdnn(n6)))) )).++fof(rdn65,axiom,(+ rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))) )).++fof(rdn66,axiom,(+ rdn_translate(n66,rdn_pos(rdn(rdnn(n6),rdnn(n6)))) )).++fof(rdn67,axiom,(+ rdn_translate(n67,rdn_pos(rdn(rdnn(n7),rdnn(n6)))) )).++fof(rdn68,axiom,(+ rdn_translate(n68,rdn_pos(rdn(rdnn(n8),rdnn(n6)))) )).++fof(rdn69,axiom,(+ rdn_translate(n69,rdn_pos(rdn(rdnn(n9),rdnn(n6)))) )).++fof(rdn70,axiom,(+ rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))) )).++fof(rdn71,axiom,(+ rdn_translate(n71,rdn_pos(rdn(rdnn(n1),rdnn(n7)))) )).++fof(rdn72,axiom,(+ rdn_translate(n72,rdn_pos(rdn(rdnn(n2),rdnn(n7)))) )).++fof(rdn73,axiom,(+ rdn_translate(n73,rdn_pos(rdn(rdnn(n3),rdnn(n7)))) )).++fof(rdn74,axiom,(+ rdn_translate(n74,rdn_pos(rdn(rdnn(n4),rdnn(n7)))) )).++fof(rdn75,axiom,(+ rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))) )).++fof(rdn76,axiom,(+ rdn_translate(n76,rdn_pos(rdn(rdnn(n6),rdnn(n7)))) )).++fof(rdn77,axiom,(+ rdn_translate(n77,rdn_pos(rdn(rdnn(n7),rdnn(n7)))) )).++fof(rdn78,axiom,(+ rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))) )).++fof(rdn79,axiom,(+ rdn_translate(n79,rdn_pos(rdn(rdnn(n9),rdnn(n7)))) )).++fof(rdn80,axiom,(+ rdn_translate(n80,rdn_pos(rdn(rdnn(n0),rdnn(n8)))) )).++fof(rdn81,axiom,(+ rdn_translate(n81,rdn_pos(rdn(rdnn(n1),rdnn(n8)))) )).++fof(rdn82,axiom,(+ rdn_translate(n82,rdn_pos(rdn(rdnn(n2),rdnn(n8)))) )).++fof(rdn83,axiom,(+ rdn_translate(n83,rdn_pos(rdn(rdnn(n3),rdnn(n8)))) )).++fof(rdn84,axiom,(+ rdn_translate(n84,rdn_pos(rdn(rdnn(n4),rdnn(n8)))) )).++fof(rdn85,axiom,(+ rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))) )).++fof(rdn86,axiom,(+ rdn_translate(n86,rdn_pos(rdn(rdnn(n6),rdnn(n8)))) )).++fof(rdn87,axiom,(+ rdn_translate(n87,rdn_pos(rdn(rdnn(n7),rdnn(n8)))) )).++fof(rdn88,axiom,(+ rdn_translate(n88,rdn_pos(rdn(rdnn(n8),rdnn(n8)))) )).++fof(rdn89,axiom,(+ rdn_translate(n89,rdn_pos(rdn(rdnn(n9),rdnn(n8)))) )).++fof(rdn90,axiom,(+ rdn_translate(n90,rdn_pos(rdn(rdnn(n0),rdnn(n9)))) )).++fof(rdn91,axiom,(+ rdn_translate(n91,rdn_pos(rdn(rdnn(n1),rdnn(n9)))) )).++fof(rdn92,axiom,(+ rdn_translate(n92,rdn_pos(rdn(rdnn(n2),rdnn(n9)))) )).++fof(rdn93,axiom,(+ rdn_translate(n93,rdn_pos(rdn(rdnn(n3),rdnn(n9)))) )).++fof(rdn94,axiom,(+ rdn_translate(n94,rdn_pos(rdn(rdnn(n4),rdnn(n9)))) )).++fof(rdn95,axiom,(+ rdn_translate(n95,rdn_pos(rdn(rdnn(n5),rdnn(n9)))) )).++fof(rdn96,axiom,(+ rdn_translate(n96,rdn_pos(rdn(rdnn(n6),rdnn(n9)))) )).++fof(rdn97,axiom,(+ rdn_translate(n97,rdn_pos(rdn(rdnn(n7),rdnn(n9)))) )).++fof(rdn98,axiom,(+ rdn_translate(n98,rdn_pos(rdn(rdnn(n8),rdnn(n9)))) )).++fof(rdn99,axiom,(+ rdn_translate(n99,rdn_pos(rdn(rdnn(n9),rdnn(n9)))) )).++fof(rdn100,axiom,(+ rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdn101,axiom,(+ rdn_translate(n101,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdn102,axiom,(+ rdn_translate(n102,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdn103,axiom,(+ rdn_translate(n103,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdn104,axiom,(+ rdn_translate(n104,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdn105,axiom,(+ rdn_translate(n105,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdn106,axiom,(+ rdn_translate(n106,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdn107,axiom,(+ rdn_translate(n107,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdn108,axiom,(+ rdn_translate(n108,rdn_pos(rdn(rdnn(n8),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdn109,axiom,(+ rdn_translate(n109,rdn_pos(rdn(rdnn(n9),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdn110,axiom,(+ rdn_translate(n110,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdn111,axiom,(+ rdn_translate(n111,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdn112,axiom,(+ rdn_translate(n112,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdn113,axiom,(+ rdn_translate(n113,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdn114,axiom,(+ rdn_translate(n114,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdn115,axiom,(+ rdn_translate(n115,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdn116,axiom,(+ rdn_translate(n116,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdn117,axiom,(+ rdn_translate(n117,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdn118,axiom,(+ rdn_translate(n118,rdn_pos(rdn(rdnn(n8),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdn119,axiom,(+ rdn_translate(n119,rdn_pos(rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdn120,axiom,(+ rdn_translate(n120,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdn121,axiom,(+ rdn_translate(n121,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdn122,axiom,(+ rdn_translate(n122,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdn123,axiom,(+ rdn_translate(n123,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdn124,axiom,(+ rdn_translate(n124,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdn125,axiom,(+ rdn_translate(n125,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdn126,axiom,(+ rdn_translate(n126,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdn127,axiom,(+ rdn_translate(n127,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdnn1,axiom,(+ rdn_translate(nn1,rdn_neg(rdnn(n1))) )).++fof(rdnn2,axiom,(+ rdn_translate(nn2,rdn_neg(rdnn(n2))) )).++fof(rdnn3,axiom,(+ rdn_translate(nn3,rdn_neg(rdnn(n3))) )).++fof(rdnn4,axiom,(+ rdn_translate(nn4,rdn_neg(rdnn(n4))) )).++fof(rdnn5,axiom,(+ rdn_translate(nn5,rdn_neg(rdnn(n5))) )).++fof(rdnn6,axiom,(+ rdn_translate(nn6,rdn_neg(rdnn(n6))) )).++fof(rdnn7,axiom,(+ rdn_translate(nn7,rdn_neg(rdnn(n7))) )).++fof(rdnn8,axiom,(+ rdn_translate(nn8,rdn_neg(rdnn(n8))) )).++fof(rdnn9,axiom,(+ rdn_translate(nn9,rdn_neg(rdnn(n9))) )).++fof(rdnn10,axiom,(+ rdn_translate(nn10,rdn_neg(rdn(rdnn(n0),rdnn(n1)))) )).++fof(rdnn11,axiom,(+ rdn_translate(nn11,rdn_neg(rdn(rdnn(n1),rdnn(n1)))) )).++fof(rdnn12,axiom,(+ rdn_translate(nn12,rdn_neg(rdn(rdnn(n2),rdnn(n1)))) )).++fof(rdnn13,axiom,(+ rdn_translate(nn13,rdn_neg(rdn(rdnn(n3),rdnn(n1)))) )).++fof(rdnn14,axiom,(+ rdn_translate(nn14,rdn_neg(rdn(rdnn(n4),rdnn(n1)))) )).++fof(rdnn15,axiom,(+ rdn_translate(nn15,rdn_neg(rdn(rdnn(n5),rdnn(n1)))) )).++fof(rdnn16,axiom,(+ rdn_translate(nn16,rdn_neg(rdn(rdnn(n6),rdnn(n1)))) )).++fof(rdnn17,axiom,(+ rdn_translate(nn17,rdn_neg(rdn(rdnn(n7),rdnn(n1)))) )).++fof(rdnn18,axiom,(+ rdn_translate(nn18,rdn_neg(rdn(rdnn(n8),rdnn(n1)))) )).++fof(rdnn19,axiom,(+ rdn_translate(nn19,rdn_neg(rdn(rdnn(n9),rdnn(n1)))) )).++fof(rdnn20,axiom,(+ rdn_translate(nn20,rdn_neg(rdn(rdnn(n0),rdnn(n2)))) )).++fof(rdnn21,axiom,(+ rdn_translate(nn21,rdn_neg(rdn(rdnn(n1),rdnn(n2)))) )).++fof(rdnn22,axiom,(+ rdn_translate(nn22,rdn_neg(rdn(rdnn(n2),rdnn(n2)))) )).++fof(rdnn23,axiom,(+ rdn_translate(nn23,rdn_neg(rdn(rdnn(n3),rdnn(n2)))) )).++fof(rdnn24,axiom,(+ rdn_translate(nn24,rdn_neg(rdn(rdnn(n4),rdnn(n2)))) )).++fof(rdnn25,axiom,(+ rdn_translate(nn25,rdn_neg(rdn(rdnn(n5),rdnn(n2)))) )).++fof(rdnn26,axiom,(+ rdn_translate(nn26,rdn_neg(rdn(rdnn(n6),rdnn(n2)))) )).++fof(rdnn27,axiom,(+ rdn_translate(nn27,rdn_neg(rdn(rdnn(n7),rdnn(n2)))) )).++fof(rdnn28,axiom,(+ rdn_translate(nn28,rdn_neg(rdn(rdnn(n8),rdnn(n2)))) )).++fof(rdnn29,axiom,(+ rdn_translate(nn29,rdn_neg(rdn(rdnn(n9),rdnn(n2)))) )).++fof(rdnn30,axiom,(+ rdn_translate(nn30,rdn_neg(rdn(rdnn(n0),rdnn(n3)))) )).++fof(rdnn31,axiom,(+ rdn_translate(nn31,rdn_neg(rdn(rdnn(n1),rdnn(n3)))) )).++fof(rdnn32,axiom,(+ rdn_translate(nn32,rdn_neg(rdn(rdnn(n2),rdnn(n3)))) )).++fof(rdnn33,axiom,(+ rdn_translate(nn33,rdn_neg(rdn(rdnn(n3),rdnn(n3)))) )).++fof(rdnn34,axiom,(+ rdn_translate(nn34,rdn_neg(rdn(rdnn(n4),rdnn(n3)))) )).++fof(rdnn35,axiom,(+ rdn_translate(nn35,rdn_neg(rdn(rdnn(n5),rdnn(n3)))) )).++fof(rdnn36,axiom,(+ rdn_translate(nn36,rdn_neg(rdn(rdnn(n6),rdnn(n3)))) )).++fof(rdnn37,axiom,(+ rdn_translate(nn37,rdn_neg(rdn(rdnn(n7),rdnn(n3)))) )).++fof(rdnn38,axiom,(+ rdn_translate(nn38,rdn_neg(rdn(rdnn(n8),rdnn(n3)))) )).++fof(rdnn39,axiom,(+ rdn_translate(nn39,rdn_neg(rdn(rdnn(n9),rdnn(n3)))) )).++fof(rdnn40,axiom,(+ rdn_translate(nn40,rdn_neg(rdn(rdnn(n0),rdnn(n4)))) )).++fof(rdnn41,axiom,(+ rdn_translate(nn41,rdn_neg(rdn(rdnn(n1),rdnn(n4)))) )).++fof(rdnn42,axiom,(+ rdn_translate(nn42,rdn_neg(rdn(rdnn(n2),rdnn(n4)))) )).++fof(rdnn43,axiom,(+ rdn_translate(nn43,rdn_neg(rdn(rdnn(n3),rdnn(n4)))) )).++fof(rdnn44,axiom,(+ rdn_translate(nn44,rdn_neg(rdn(rdnn(n4),rdnn(n4)))) )).++fof(rdnn45,axiom,(+ rdn_translate(nn45,rdn_neg(rdn(rdnn(n5),rdnn(n4)))) )).++fof(rdnn46,axiom,(+ rdn_translate(nn46,rdn_neg(rdn(rdnn(n6),rdnn(n4)))) )).++fof(rdnn47,axiom,(+ rdn_translate(nn47,rdn_neg(rdn(rdnn(n7),rdnn(n4)))) )).++fof(rdnn48,axiom,(+ rdn_translate(nn48,rdn_neg(rdn(rdnn(n8),rdnn(n4)))) )).++fof(rdnn49,axiom,(+ rdn_translate(nn49,rdn_neg(rdn(rdnn(n9),rdnn(n4)))) )).++fof(rdnn50,axiom,(+ rdn_translate(nn50,rdn_neg(rdn(rdnn(n0),rdnn(n5)))) )).++fof(rdnn51,axiom,(+ rdn_translate(nn51,rdn_neg(rdn(rdnn(n1),rdnn(n5)))) )).++fof(rdnn52,axiom,(+ rdn_translate(nn52,rdn_neg(rdn(rdnn(n2),rdnn(n5)))) )).++fof(rdnn53,axiom,(+ rdn_translate(nn53,rdn_neg(rdn(rdnn(n3),rdnn(n5)))) )).++fof(rdnn54,axiom,(+ rdn_translate(nn54,rdn_neg(rdn(rdnn(n4),rdnn(n5)))) )).++fof(rdnn55,axiom,(+ rdn_translate(nn55,rdn_neg(rdn(rdnn(n5),rdnn(n5)))) )).++fof(rdnn56,axiom,(+ rdn_translate(nn56,rdn_neg(rdn(rdnn(n6),rdnn(n5)))) )).++fof(rdnn57,axiom,(+ rdn_translate(nn57,rdn_neg(rdn(rdnn(n7),rdnn(n5)))) )).++fof(rdnn58,axiom,(+ rdn_translate(nn58,rdn_neg(rdn(rdnn(n8),rdnn(n5)))) )).++fof(rdnn59,axiom,(+ rdn_translate(nn59,rdn_neg(rdn(rdnn(n9),rdnn(n5)))) )).++fof(rdnn60,axiom,(+ rdn_translate(nn60,rdn_neg(rdn(rdnn(n0),rdnn(n6)))) )).++fof(rdnn61,axiom,(+ rdn_translate(nn61,rdn_neg(rdn(rdnn(n1),rdnn(n6)))) )).++fof(rdnn62,axiom,(+ rdn_translate(nn62,rdn_neg(rdn(rdnn(n2),rdnn(n6)))) )).++fof(rdnn63,axiom,(+ rdn_translate(nn63,rdn_neg(rdn(rdnn(n3),rdnn(n6)))) )).++fof(rdnn64,axiom,(+ rdn_translate(nn64,rdn_neg(rdn(rdnn(n4),rdnn(n6)))) )).++fof(rdnn65,axiom,(+ rdn_translate(nn65,rdn_neg(rdn(rdnn(n5),rdnn(n6)))) )).++fof(rdnn66,axiom,(+ rdn_translate(nn66,rdn_neg(rdn(rdnn(n6),rdnn(n6)))) )).++fof(rdnn67,axiom,(+ rdn_translate(nn67,rdn_neg(rdn(rdnn(n7),rdnn(n6)))) )).++fof(rdnn68,axiom,(+ rdn_translate(nn68,rdn_neg(rdn(rdnn(n8),rdnn(n6)))) )).++fof(rdnn69,axiom,(+ rdn_translate(nn69,rdn_neg(rdn(rdnn(n9),rdnn(n6)))) )).++fof(rdnn70,axiom,(+ rdn_translate(nn70,rdn_neg(rdn(rdnn(n0),rdnn(n7)))) )).++fof(rdnn71,axiom,(+ rdn_translate(nn71,rdn_neg(rdn(rdnn(n1),rdnn(n7)))) )).++fof(rdnn72,axiom,(+ rdn_translate(nn72,rdn_neg(rdn(rdnn(n2),rdnn(n7)))) )).++fof(rdnn73,axiom,(+ rdn_translate(nn73,rdn_neg(rdn(rdnn(n3),rdnn(n7)))) )).++fof(rdnn74,axiom,(+ rdn_translate(nn74,rdn_neg(rdn(rdnn(n4),rdnn(n7)))) )).++fof(rdnn75,axiom,(+ rdn_translate(nn75,rdn_neg(rdn(rdnn(n5),rdnn(n7)))) )).++fof(rdnn76,axiom,(+ rdn_translate(nn76,rdn_neg(rdn(rdnn(n6),rdnn(n7)))) )).++fof(rdnn77,axiom,(+ rdn_translate(nn77,rdn_neg(rdn(rdnn(n7),rdnn(n7)))) )).++fof(rdnn78,axiom,(+ rdn_translate(nn78,rdn_neg(rdn(rdnn(n8),rdnn(n7)))) )).++fof(rdnn79,axiom,(+ rdn_translate(nn79,rdn_neg(rdn(rdnn(n9),rdnn(n7)))) )).++fof(rdnn80,axiom,(+ rdn_translate(nn80,rdn_neg(rdn(rdnn(n0),rdnn(n8)))) )).++fof(rdnn81,axiom,(+ rdn_translate(nn81,rdn_neg(rdn(rdnn(n1),rdnn(n8)))) )).++fof(rdnn82,axiom,(+ rdn_translate(nn82,rdn_neg(rdn(rdnn(n2),rdnn(n8)))) )).++fof(rdnn83,axiom,(+ rdn_translate(nn83,rdn_neg(rdn(rdnn(n3),rdnn(n8)))) )).++fof(rdnn84,axiom,(+ rdn_translate(nn84,rdn_neg(rdn(rdnn(n4),rdnn(n8)))) )).++fof(rdnn85,axiom,(+ rdn_translate(nn85,rdn_neg(rdn(rdnn(n5),rdnn(n8)))) )).++fof(rdnn86,axiom,(+ rdn_translate(nn86,rdn_neg(rdn(rdnn(n6),rdnn(n8)))) )).++fof(rdnn87,axiom,(+ rdn_translate(nn87,rdn_neg(rdn(rdnn(n7),rdnn(n8)))) )).++fof(rdnn88,axiom,(+ rdn_translate(nn88,rdn_neg(rdn(rdnn(n8),rdnn(n8)))) )).++fof(rdnn89,axiom,(+ rdn_translate(nn89,rdn_neg(rdn(rdnn(n9),rdnn(n8)))) )).++fof(rdnn90,axiom,(+ rdn_translate(nn90,rdn_neg(rdn(rdnn(n0),rdnn(n9)))) )).++fof(rdnn91,axiom,(+ rdn_translate(nn91,rdn_neg(rdn(rdnn(n1),rdnn(n9)))) )).++fof(rdnn92,axiom,(+ rdn_translate(nn92,rdn_neg(rdn(rdnn(n2),rdnn(n9)))) )).++fof(rdnn93,axiom,(+ rdn_translate(nn93,rdn_neg(rdn(rdnn(n3),rdnn(n9)))) )).++fof(rdnn94,axiom,(+ rdn_translate(nn94,rdn_neg(rdn(rdnn(n4),rdnn(n9)))) )).++fof(rdnn95,axiom,(+ rdn_translate(nn95,rdn_neg(rdn(rdnn(n5),rdnn(n9)))) )).++fof(rdnn96,axiom,(+ rdn_translate(nn96,rdn_neg(rdn(rdnn(n6),rdnn(n9)))) )).++fof(rdnn97,axiom,(+ rdn_translate(nn97,rdn_neg(rdn(rdnn(n7),rdnn(n9)))) )).++fof(rdnn98,axiom,(+ rdn_translate(nn98,rdn_neg(rdn(rdnn(n8),rdnn(n9)))) )).++fof(rdnn99,axiom,(+ rdn_translate(nn99,rdn_neg(rdn(rdnn(n9),rdnn(n9)))) )).++fof(rdnn100,axiom,(+ rdn_translate(nn100,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdnn101,axiom,(+ rdn_translate(nn101,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdnn102,axiom,(+ rdn_translate(nn102,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdnn103,axiom,(+ rdn_translate(nn103,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdnn104,axiom,(+ rdn_translate(nn104,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdnn105,axiom,(+ rdn_translate(nn105,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdnn106,axiom,(+ rdn_translate(nn106,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdnn107,axiom,(+ rdn_translate(nn107,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdnn108,axiom,(+ rdn_translate(nn108,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdnn109,axiom,(+ rdn_translate(nn109,rdn_neg(rdn(rdnn(n9),rdn(rdnn(n0),rdnn(n1))))) )).++fof(rdnn110,axiom,(+ rdn_translate(nn110,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdnn111,axiom,(+ rdn_translate(nn111,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdnn112,axiom,(+ rdn_translate(nn112,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdnn113,axiom,(+ rdn_translate(nn113,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdnn114,axiom,(+ rdn_translate(nn114,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdnn115,axiom,(+ rdn_translate(nn115,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdnn116,axiom,(+ rdn_translate(nn116,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdnn117,axiom,(+ rdn_translate(nn117,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdnn118,axiom,(+ rdn_translate(nn118,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdnn119,axiom,(+ rdn_translate(nn119,rdn_neg(rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1))))) )).++fof(rdnn120,axiom,(+ rdn_translate(nn120,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdnn121,axiom,(+ rdn_translate(nn121,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdnn122,axiom,(+ rdn_translate(nn122,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdnn123,axiom,(+ rdn_translate(nn123,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdnn124,axiom,(+ rdn_translate(nn124,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdnn125,axiom,(+ rdn_translate(nn125,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdnn126,axiom,(+ rdn_translate(nn126,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdnn127,axiom,(+ rdn_translate(nn127,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))) )).++fof(rdnn128,axiom,(+ rdn_translate(nn128,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n2),rdnn(n1))))) )).+%------------------------------------------------------------------------------
+ test-data/tptp/fof/NUM005+1.ax view
@@ -0,0 +1,156 @@+%------------------------------------------------------------------------------+% File : NUM005+1 : TPTP v7.2.0. Released v3.1.0.+% Domain : Number Theory+% Axioms : Less in RDN format+% Version : Especial.+% English : Impements a "human style" less using RDN format.++% Refs :+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 30 ( 18 unit)+% Number of atoms : 52 ( 2 equality)+% Maximal formula depth : 8 ( 3 average)+% Number of connectives : 24 ( 2 ~ ; 1 |; 9 &)+% ( 2 <=>; 10 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 8 ( 0 propositional; 1-3 arity)+% Number of functors : 14 ( 10 constant; 0-2 arity)+% Number of variables : 35 ( 0 singleton; 35 !; 0 ?)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires NUM005+0.ax+%------------------------------------------------------------------------------+fof(rdn_digit1,axiom,(+ rdn_non_zero_digit(rdnn(n1)) )).++fof(rdn_digit2,axiom,(+ rdn_non_zero_digit(rdnn(n2)) )).++fof(rdn_digit3,axiom,(+ rdn_non_zero_digit(rdnn(n3)) )).++fof(rdn_digit4,axiom,(+ rdn_non_zero_digit(rdnn(n4)) )).++fof(rdn_digit5,axiom,(+ rdn_non_zero_digit(rdnn(n5)) )).++fof(rdn_digit6,axiom,(+ rdn_non_zero_digit(rdnn(n6)) )).++fof(rdn_digit7,axiom,(+ rdn_non_zero_digit(rdnn(n7)) )).++fof(rdn_digit8,axiom,(+ rdn_non_zero_digit(rdnn(n8)) )).++fof(rdn_digit9,axiom,(+ rdn_non_zero_digit(rdnn(n9)) )).++fof(rdn_positive_less01,axiom,(+ rdn_positive_less(rdnn(n0),rdnn(n1)) )).++fof(rdn_positive_less12,axiom,(+ rdn_positive_less(rdnn(n1),rdnn(n2)) )).++fof(rdn_positive_less23,axiom,(+ rdn_positive_less(rdnn(n2),rdnn(n3)) )).++fof(rdn_positive_less34,axiom,(+ rdn_positive_less(rdnn(n3),rdnn(n4)) )).++fof(rdn_positive_less45,axiom,(+ rdn_positive_less(rdnn(n4),rdnn(n5)) )).++fof(rdn_positive_less56,axiom,(+ rdn_positive_less(rdnn(n5),rdnn(n6)) )).++fof(rdn_positive_less67,axiom,(+ rdn_positive_less(rdnn(n6),rdnn(n7)) )).++fof(rdn_positive_less78,axiom,(+ rdn_positive_less(rdnn(n7),rdnn(n8)) )).++fof(rdn_positive_less89,axiom,(+ rdn_positive_less(rdnn(n8),rdnn(n9)) )).++fof(rdn_positive_less_transitivity,axiom,(+ ! [X,Y,Z] :+ ( ( rdn_positive_less(rdnn(X),rdnn(Y))+ & rdn_positive_less(rdnn(Y),rdnn(Z)) )+ => rdn_positive_less(rdnn(X),rdnn(Z)) ) )).++fof(rdn_positive_less_multi_digit_high,axiom,(+ ! [Ds,Os,Db,Ob] :+ ( rdn_positive_less(Os,Ob)+ => rdn_positive_less(rdn(rdnn(Ds),Os),rdn(rdnn(Db),Ob)) ) )).++fof(rdn_positive_less_multi_digit_low,axiom,(+ ! [Ds,O,Db] :+ ( ( rdn_positive_less(rdnn(Ds),rdnn(Db))+ & rdn_non_zero(O) )+ => rdn_positive_less(rdn(rdnn(Ds),O),rdn(rdnn(Db),O)) ) )).++fof(rdn_extra_digits_positive_less,axiom,(+ ! [D,Db,Ob] :+ ( rdn_non_zero(Ob)+ => rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob)) ) )).++fof(rdn_non_zero_by_digit,axiom,(+ ! [X] :+ ( rdn_non_zero_digit(rdnn(X))+ => rdn_non_zero(rdnn(X)) ) )).++fof(rdn_non_zero_by_structure,axiom,(+ ! [D,O] :+ ( rdn_non_zero(O)+ => rdn_non_zero(rdn(rdnn(D),O)) ) )).++fof(less_entry_point_pos_pos,axiom,(+ ! [X,Y,RDN_X,RDN_Y] :+ ( ( rdn_translate(X,rdn_pos(RDN_X))+ & rdn_translate(Y,rdn_pos(RDN_Y))+ & rdn_positive_less(RDN_X,RDN_Y) )+ => less(X,Y) ) )).++fof(less_entry_point_neg_pos,axiom,(+ ! [X,Y,RDN_X,RDN_Y] :+ ( ( rdn_translate(X,rdn_neg(RDN_X))+ & rdn_translate(Y,rdn_pos(RDN_Y)) )+ => less(X,Y) ) )).++fof(less_entry_point_neg_neg,axiom,(+ ! [X,Y,RDN_X,RDN_Y] :+ ( ( rdn_translate(X,rdn_neg(RDN_X))+ & rdn_translate(Y,rdn_neg(RDN_Y))+ & rdn_positive_less(RDN_Y,RDN_X) )+ => less(X,Y) ) )).++fof(less_property,axiom,(+ ! [X,Y] :+ ( less(X,Y)+ <=> ( ~ less(Y,X)+ & Y != X ) ) )).++%----Old axiom from the days of natural numbers+%fof(less0,axiom,(+% ~ ( ? [X] : less(X,n0) ) )).++fof(less_or_equal,axiom,(+ ! [X,Y] :+ ( less_or_equal(X,Y)+ <=> ( less(X,Y)+ | X = Y ) ) )).++%----Successive integers+fof(less_successor,axiom,(+ ! [X,Y,Z] :+ ( ( sum(X,n1,Y)+ & less(Z,Y) )+ => less_or_equal(Z,X) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/NUM005+2.ax view
@@ -0,0 +1,355 @@+%------------------------------------------------------------------------------+% File : NUM005+2 : TPTP v7.2.0. Released v3.1.0.+% Domain : Number Theory+% Axioms : Sum in RDN format+% Version : Especial.+% English : Impements a "human style" addition using RDN format.++% Refs :+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 115 ( 100 unit)+% Number of atoms : 164 ( 3 equality)+% Maximal formula depth : 19 ( 2 average)+% Number of connectives : 49 ( 0 ~ ; 0 |; 34 &)+% ( 1 <=>; 14 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 8 ( 0 propositional; 1-4 arity)+% Number of functors : 14 ( 10 constant; 0-2 arity)+% Number of variables : 86 ( 0 singleton; 86 !; 0 ?)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments : Requires NUM005+0.ax NUM005+1.ax+%------------------------------------------------------------------------------+%----Addition entry points+%----pos(X) + pos(Y)+fof(sum_entry_point_pos_pos,axiom,(+ ! [X,Y,Z,RDN_X,RDN_Y,RDN_Z] :+ ( ( rdn_translate(X,rdn_pos(RDN_X))+ & rdn_translate(Y,rdn_pos(RDN_Y))+ & rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Y,RDN_Z)+ & rdn_translate(Z,rdn_pos(RDN_Z)) )+ => sum(X,Y,Z) ) )).++%----neg(X) + neg(Y)+fof(sum_entry_point_neg_neg,axiom,(+ ! [X,Y,Z,RDN_X,RDN_Y,RDN_Z] :+ ( ( rdn_translate(X,rdn_neg(RDN_X))+ & rdn_translate(Y,rdn_neg(RDN_Y))+ & rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Y,RDN_Z)+ & rdn_translate(Z,rdn_neg(RDN_Z)) )+ => sum(X,Y,Z) ) )).++%----pos(X) + neg(Y), X < Y+fof(sum_entry_point_pos_neg_1,axiom,(+ ! [X,Y,Z,RDN_X,RDN_Y,RDN_Z] :+ ( ( rdn_translate(X,rdn_pos(RDN_X))+ & rdn_translate(Y,rdn_neg(RDN_Y))+ & rdn_positive_less(RDN_X,RDN_Y)+ & rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Z,RDN_Y)+ & rdn_translate(Z,rdn_neg(RDN_Z)) )+ => sum(X,Y,Z) ) )).++%----pos(X) + neg(Y), X > Y+fof(sum_entry_point_pos_neg_2,axiom,(+ ! [X,Y,Z,RDN_X,RDN_Y,RDN_Z] :+ ( ( rdn_translate(X,rdn_pos(RDN_X))+ & rdn_translate(Y,rdn_neg(RDN_Y))+ & rdn_positive_less(RDN_Y,RDN_X)+ & rdn_add_with_carry(rdnn(n0),RDN_Y,RDN_Z,RDN_X)+ & rdn_translate(Z,rdn_pos(RDN_Z)) )+ => sum(X,Y,Z) ) )).++%----pos(X) + neg(X), X + -X = n0+fof(sum_entry_point_posx_negx,axiom,(+ ! [POS_X,NEG_X,RDN_X] :+ ( ( rdn_translate(POS_X,rdn_pos(RDN_X))+ & rdn_translate(NEG_X,rdn_neg(RDN_X)) )+ => sum(POS_X,NEG_X,n0) ) )).++%----neg + pos+fof(sum_entry_point_neg_pos,axiom,(+ ! [X,Y,Z,RDN_X,RDN_Y] :+ ( ( rdn_translate(X,rdn_neg(RDN_X))+ & rdn_translate(Y,rdn_pos(RDN_Y))+ & sum(Y,X,Z) )+ => sum(X,Y,Z) ) )).++%----Sum is unique+fof(unique_sum,axiom,(+ ! [X,Y,Z1,Z2] :+ ( ( sum(X,Y,Z1)+ & sum(X,Y,Z2) )+ => Z1 = Z2 ) )).++%----Operands are unique+fof(unique_LHS,axiom,(+ ! [X1,X2,Y,Z] :+ ( ( sum(X1,Y,Z)+ & sum(X2,Y,Z) )+ => X1 = X2 ) )).++fof(unique_RHS,axiom,(+ ! [X,Y1,Y2,Z] :+ ( ( sum(X,Y1,Z)+ & sum(X,Y2,Z) )+ => Y1 = Y2 ) )).++%----Difference is just sum in reverse+fof(minus_entry_point,axiom,(+ ! [X,Y,Z] :+ ( sum(Y,Z,X) <=> difference(X,Y,Z) ) )).++%----Addition of positive RDN numbers+fof(add_digit_digit_digit,axiom,(+ ! [C,D1,D2,RD,ID] :+ ( ( rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(n0))+ & rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(n0)) )+ => rdn_add_with_carry(rdnn(C),rdnn(D1),rdnn(D2),rdnn(RD)) ) )).++fof(add_digit_digit_rdn,axiom,(+ ! [C,D1,D2,ID,RD,IC1,IC2] :+ ( ( rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(IC1))+ & rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(IC2))+ & rdn_digit_add(rdnn(IC1),rdnn(IC2),rdnn(n1),rdnn(n0)) )+ => rdn_add_with_carry(rdnn(C),rdnn(D1),rdnn(D2),rdn(rdnn(RD),rdnn(n1))) ) )).++fof(add_digit_rdn_rdn,axiom,(+ ! [C,D1,D2,O2,RD,RO,ID,IC1,IC2,NC] :+ ( ( rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(IC1))+ & rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(IC2))+ & rdn_digit_add(rdnn(IC1),rdnn(IC2),rdnn(NC),rdnn(n0))+ & rdn_add_with_carry(rdnn(NC),rdnn(n0),O2,RO)+ & rdn_non_zero(O2)+ & rdn_non_zero(RO) )+ => rdn_add_with_carry(rdnn(C),rdnn(D1),rdn(rdnn(D2),O2),rdn(rdnn(RD),RO)) ) )).++fof(add_rdn_rdn_rdn,axiom,(+ ! [C,D1,O1,D2,O2,RD,RO,ID,IC1,IC2,RC] :+ ( ( rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(IC1))+ & rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(IC2))+ & rdn_digit_add(rdnn(IC1),rdnn(IC2),rdnn(RC),rdnn(n0))+ & rdn_add_with_carry(rdnn(RC),O1,O2,RO)+ & rdn_non_zero(O1)+ & rdn_non_zero(O2)+ & rdn_non_zero(RO) )+ => rdn_add_with_carry(rdnn(C),rdn(rdnn(D1),O1),rdn(rdnn(D2),O2),rdn(rdnn(RD),RO)) ) )).++fof(add_rdn_digit_rdn,axiom,(+ ! [C,D1,O1,D2,RD,RO] :+ ( ( rdn_add_with_carry(rdnn(C),rdnn(D2),rdn(rdnn(D1),O1),rdn(rdnn(RD),RO)) )+ => rdn_add_with_carry(rdnn(C),rdn(rdnn(D1),O1),rdnn(D2),rdn(rdnn(RD),RO)) ) )).++fof(rdn_digit_add_n0_n0_n0_n0,axiom,(+ rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)) )).+fof(rdn_digit_add_n0_n1_n1_n0,axiom,(+ rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n0)) )).+fof(rdn_digit_add_n0_n2_n2_n0,axiom,(+ rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(n2),rdnn(n0)) )).+fof(rdn_digit_add_n0_n3_n3_n0,axiom,(+ rdn_digit_add(rdnn(n0),rdnn(n3),rdnn(n3),rdnn(n0)) )).+fof(rdn_digit_add_n0_n4_n4_n0,axiom,(+ rdn_digit_add(rdnn(n0),rdnn(n4),rdnn(n4),rdnn(n0)) )).+fof(rdn_digit_add_n0_n5_n5_n0,axiom,(+ rdn_digit_add(rdnn(n0),rdnn(n5),rdnn(n5),rdnn(n0)) )).+fof(rdn_digit_add_n0_n6_n6_n0,axiom,(+ rdn_digit_add(rdnn(n0),rdnn(n6),rdnn(n6),rdnn(n0)) )).+fof(rdn_digit_add_n0_n7_n7_n0,axiom,(+ rdn_digit_add(rdnn(n0),rdnn(n7),rdnn(n7),rdnn(n0)) )).+fof(rdn_digit_add_n0_n8_n8_n0,axiom,(+ rdn_digit_add(rdnn(n0),rdnn(n8),rdnn(n8),rdnn(n0)) )).+fof(rdn_digit_add_n0_n9_n9_n0,axiom,(+ rdn_digit_add(rdnn(n0),rdnn(n9),rdnn(n9),rdnn(n0)) )).++fof(rdn_digit_add_n1_n0_n1_n0,axiom,(+ rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)) )).+fof(rdn_digit_add_n1_n1_n2_n0,axiom,(+ rdn_digit_add(rdnn(n1),rdnn(n1),rdnn(n2),rdnn(n0)) )).+fof(rdn_digit_add_n1_n2_n3_n0,axiom,(+ rdn_digit_add(rdnn(n1),rdnn(n2),rdnn(n3),rdnn(n0)) )).+fof(rdn_digit_add_n1_n3_n4_n0,axiom,(+ rdn_digit_add(rdnn(n1),rdnn(n3),rdnn(n4),rdnn(n0)) )).+fof(rdn_digit_add_n1_n4_n5_n0,axiom,(+ rdn_digit_add(rdnn(n1),rdnn(n4),rdnn(n5),rdnn(n0)) )).+fof(rdn_digit_add_n1_n5_n6_n0,axiom,(+ rdn_digit_add(rdnn(n1),rdnn(n5),rdnn(n6),rdnn(n0)) )).+fof(rdn_digit_add_n1_n6_n7_n0,axiom,(+ rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(n7),rdnn(n0)) )).+fof(rdn_digit_add_n1_n7_n8_n0,axiom,(+ rdn_digit_add(rdnn(n1),rdnn(n7),rdnn(n8),rdnn(n0)) )).+fof(rdn_digit_add_n1_n8_n9_n0,axiom,(+ rdn_digit_add(rdnn(n1),rdnn(n8),rdnn(n9),rdnn(n0)) )).+fof(rdn_digit_add_n1_n9_n0_n1,axiom,(+ rdn_digit_add(rdnn(n1),rdnn(n9),rdnn(n0),rdnn(n1)) )).++fof(rdn_digit_add_n2_n0_n2_n0,axiom,(+ rdn_digit_add(rdnn(n2),rdnn(n0),rdnn(n2),rdnn(n0)) )).+fof(rdn_digit_add_n2_n1_n3_n0,axiom,(+ rdn_digit_add(rdnn(n2),rdnn(n1),rdnn(n3),rdnn(n0)) )).+fof(rdn_digit_add_n2_n2_n4_n0,axiom,(+ rdn_digit_add(rdnn(n2),rdnn(n2),rdnn(n4),rdnn(n0)) )).+fof(rdn_digit_add_n2_n3_n5_n0,axiom,(+ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)) )).+fof(rdn_digit_add_n2_n4_n6_n0,axiom,(+ rdn_digit_add(rdnn(n2),rdnn(n4),rdnn(n6),rdnn(n0)) )).+fof(rdn_digit_add_n2_n5_n7_n0,axiom,(+ rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)) )).+fof(rdn_digit_add_n2_n6_n8_n0,axiom,(+ rdn_digit_add(rdnn(n2),rdnn(n6),rdnn(n8),rdnn(n0)) )).+fof(rdn_digit_add_n2_n7_n9_n0,axiom,(+ rdn_digit_add(rdnn(n2),rdnn(n7),rdnn(n9),rdnn(n0)) )).+fof(rdn_digit_add_n2_n8_n0_n1,axiom,(+ rdn_digit_add(rdnn(n2),rdnn(n8),rdnn(n0),rdnn(n1)) )).+fof(rdn_digit_add_n2_n9_n1_n1,axiom,(+ rdn_digit_add(rdnn(n2),rdnn(n9),rdnn(n1),rdnn(n1)) )).++fof(rdn_digit_add_n3_n0_n3_n0,axiom,(+ rdn_digit_add(rdnn(n3),rdnn(n0),rdnn(n3),rdnn(n0)) )).+fof(rdn_digit_add_n3_n1_n4_n0,axiom,(+ rdn_digit_add(rdnn(n3),rdnn(n1),rdnn(n4),rdnn(n0)) )).+fof(rdn_digit_add_n3_n2_n5_n0,axiom,(+ rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)) )).+fof(rdn_digit_add_n3_n3_n6_n0,axiom,(+ rdn_digit_add(rdnn(n3),rdnn(n3),rdnn(n6),rdnn(n0)) )).+fof(rdn_digit_add_n3_n4_n7_n0,axiom,(+ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)) )).+fof(rdn_digit_add_n3_n5_n8_n0,axiom,(+ rdn_digit_add(rdnn(n3),rdnn(n5),rdnn(n8),rdnn(n0)) )).+fof(rdn_digit_add_n3_n6_n9_n0,axiom,(+ rdn_digit_add(rdnn(n3),rdnn(n6),rdnn(n9),rdnn(n0)) )).+fof(rdn_digit_add_n3_n7_n0_n1,axiom,(+ rdn_digit_add(rdnn(n3),rdnn(n7),rdnn(n0),rdnn(n1)) )).+fof(rdn_digit_add_n3_n8_n1_n1,axiom,(+ rdn_digit_add(rdnn(n3),rdnn(n8),rdnn(n1),rdnn(n1)) )).+fof(rdn_digit_add_n3_n9_n2_n1,axiom,(+ rdn_digit_add(rdnn(n3),rdnn(n9),rdnn(n2),rdnn(n1)) )).++fof(rdn_digit_add_n4_n0_n4_n0,axiom,(+ rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)) )).+fof(rdn_digit_add_n4_n1_n5_n0,axiom,(+ rdn_digit_add(rdnn(n4),rdnn(n1),rdnn(n5),rdnn(n0)) )).+fof(rdn_digit_add_n4_n2_n6_n0,axiom,(+ rdn_digit_add(rdnn(n4),rdnn(n2),rdnn(n6),rdnn(n0)) )).+fof(rdn_digit_add_n4_n3_n7_n0,axiom,(+ rdn_digit_add(rdnn(n4),rdnn(n3),rdnn(n7),rdnn(n0)) )).+fof(rdn_digit_add_n4_n4_n8_n0,axiom,(+ rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)) )).+fof(rdn_digit_add_n4_n5_n9_n0,axiom,(+ rdn_digit_add(rdnn(n4),rdnn(n5),rdnn(n9),rdnn(n0)) )).+fof(rdn_digit_add_n4_n6_n0_n1,axiom,(+ rdn_digit_add(rdnn(n4),rdnn(n6),rdnn(n0),rdnn(n1)) )).+fof(rdn_digit_add_n4_n7_n1_n1,axiom,(+ rdn_digit_add(rdnn(n4),rdnn(n7),rdnn(n1),rdnn(n1)) )).+fof(rdn_digit_add_n4_n8_n2_n1,axiom,(+ rdn_digit_add(rdnn(n4),rdnn(n8),rdnn(n2),rdnn(n1)) )).+fof(rdn_digit_add_n4_n9_n3_n1,axiom,(+ rdn_digit_add(rdnn(n4),rdnn(n9),rdnn(n3),rdnn(n1)) )).++fof(rdn_digit_add_n5_n0_n5_n0,axiom,(+ rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)) )).+fof(rdn_digit_add_n5_n1_n6_n0,axiom,(+ rdn_digit_add(rdnn(n5),rdnn(n1),rdnn(n6),rdnn(n0)) )).+fof(rdn_digit_add_n5_n2_n7_n0,axiom,(+ rdn_digit_add(rdnn(n5),rdnn(n2),rdnn(n7),rdnn(n0)) )).+fof(rdn_digit_add_n5_n3_n8_n0,axiom,(+ rdn_digit_add(rdnn(n5),rdnn(n3),rdnn(n8),rdnn(n0)) )).+fof(rdn_digit_add_n5_n4_n9_n0,axiom,(+ rdn_digit_add(rdnn(n5),rdnn(n4),rdnn(n9),rdnn(n0)) )).+fof(rdn_digit_add_n5_n5_n0_n1,axiom,(+ rdn_digit_add(rdnn(n5),rdnn(n5),rdnn(n0),rdnn(n1)) )).+fof(rdn_digit_add_n5_n6_n1_n1,axiom,(+ rdn_digit_add(rdnn(n5),rdnn(n6),rdnn(n1),rdnn(n1)) )).+fof(rdn_digit_add_n5_n7_n2_n1,axiom,(+ rdn_digit_add(rdnn(n5),rdnn(n7),rdnn(n2),rdnn(n1)) )).+fof(rdn_digit_add_n5_n8_n3_n1,axiom,(+ rdn_digit_add(rdnn(n5),rdnn(n8),rdnn(n3),rdnn(n1)) )).+fof(rdn_digit_add_n5_n9_n4_n1,axiom,(+ rdn_digit_add(rdnn(n5),rdnn(n9),rdnn(n4),rdnn(n1)) )).++fof(rdn_digit_add_n6_n0_n6_n0,axiom,(+ rdn_digit_add(rdnn(n6),rdnn(n0),rdnn(n6),rdnn(n0)) )).+fof(rdn_digit_add_n6_n1_n7_n0,axiom,(+ rdn_digit_add(rdnn(n6),rdnn(n1),rdnn(n7),rdnn(n0)) )).+fof(rdn_digit_add_n6_n2_n8_n0,axiom,(+ rdn_digit_add(rdnn(n6),rdnn(n2),rdnn(n8),rdnn(n0)) )).+fof(rdn_digit_add_n6_n3_n9_n0,axiom,(+ rdn_digit_add(rdnn(n6),rdnn(n3),rdnn(n9),rdnn(n0)) )).+fof(rdn_digit_add_n6_n4_n0_n1,axiom,(+ rdn_digit_add(rdnn(n6),rdnn(n4),rdnn(n0),rdnn(n1)) )).+fof(rdn_digit_add_n6_n5_n1_n1,axiom,(+ rdn_digit_add(rdnn(n6),rdnn(n5),rdnn(n1),rdnn(n1)) )).+fof(rdn_digit_add_n6_n6_n2_n1,axiom,(+ rdn_digit_add(rdnn(n6),rdnn(n6),rdnn(n2),rdnn(n1)) )).+fof(rdn_digit_add_n6_n7_n3_n1,axiom,(+ rdn_digit_add(rdnn(n6),rdnn(n7),rdnn(n3),rdnn(n1)) )).+fof(rdn_digit_add_n6_n8_n4_n1,axiom,(+ rdn_digit_add(rdnn(n6),rdnn(n8),rdnn(n4),rdnn(n1)) )).+fof(rdn_digit_add_n6_n9_n5_n1,axiom,(+ rdn_digit_add(rdnn(n6),rdnn(n9),rdnn(n5),rdnn(n1)) )).++fof(rdn_digit_add_n7_n0_n7_n0,axiom,(+ rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)) )).+fof(rdn_digit_add_n7_n1_n8_n0,axiom,(+ rdn_digit_add(rdnn(n7),rdnn(n1),rdnn(n8),rdnn(n0)) )).+fof(rdn_digit_add_n7_n2_n9_n0,axiom,(+ rdn_digit_add(rdnn(n7),rdnn(n2),rdnn(n9),rdnn(n0)) )).+fof(rdn_digit_add_n7_n3_n0_n1,axiom,(+ rdn_digit_add(rdnn(n7),rdnn(n3),rdnn(n0),rdnn(n1)) )).+fof(rdn_digit_add_n7_n4_n1_n1,axiom,(+ rdn_digit_add(rdnn(n7),rdnn(n4),rdnn(n1),rdnn(n1)) )).+fof(rdn_digit_add_n7_n5_n2_n1,axiom,(+ rdn_digit_add(rdnn(n7),rdnn(n5),rdnn(n2),rdnn(n1)) )).+fof(rdn_digit_add_n7_n6_n3_n1,axiom,(+ rdn_digit_add(rdnn(n7),rdnn(n6),rdnn(n3),rdnn(n1)) )).+fof(rdn_digit_add_n7_n7_n4_n1,axiom,(+ rdn_digit_add(rdnn(n7),rdnn(n7),rdnn(n4),rdnn(n1)) )).+fof(rdn_digit_add_n7_n8_n5_n1,axiom,(+ rdn_digit_add(rdnn(n7),rdnn(n8),rdnn(n5),rdnn(n1)) )).+fof(rdn_digit_add_n7_n9_n6_n1,axiom,(+ rdn_digit_add(rdnn(n7),rdnn(n9),rdnn(n6),rdnn(n1)) )).++fof(rdn_digit_add_n8_n0_n8_n0,axiom,(+ rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)) )).+fof(rdn_digit_add_n8_n1_n9_n0,axiom,(+ rdn_digit_add(rdnn(n8),rdnn(n1),rdnn(n9),rdnn(n0)) )).+fof(rdn_digit_add_n8_n2_n0_n1,axiom,(+ rdn_digit_add(rdnn(n8),rdnn(n2),rdnn(n0),rdnn(n1)) )).+fof(rdn_digit_add_n8_n3_n1_n1,axiom,(+ rdn_digit_add(rdnn(n8),rdnn(n3),rdnn(n1),rdnn(n1)) )).+fof(rdn_digit_add_n8_n4_n2_n1,axiom,(+ rdn_digit_add(rdnn(n8),rdnn(n4),rdnn(n2),rdnn(n1)) )).+fof(rdn_digit_add_n8_n5_n3_n1,axiom,(+ rdn_digit_add(rdnn(n8),rdnn(n5),rdnn(n3),rdnn(n1)) )).+fof(rdn_digit_add_n8_n6_n4_n1,axiom,(+ rdn_digit_add(rdnn(n8),rdnn(n6),rdnn(n4),rdnn(n1)) )).+fof(rdn_digit_add_n8_n7_n5_n1,axiom,(+ rdn_digit_add(rdnn(n8),rdnn(n7),rdnn(n5),rdnn(n1)) )).+fof(rdn_digit_add_n8_n8_n6_n1,axiom,(+ rdn_digit_add(rdnn(n8),rdnn(n8),rdnn(n6),rdnn(n1)) )).+fof(rdn_digit_add_n8_n9_n7_n1,axiom,(+ rdn_digit_add(rdnn(n8),rdnn(n9),rdnn(n7),rdnn(n1)) )).++fof(rdn_digit_add_n9_n0_n9_n0,axiom,(+ rdn_digit_add(rdnn(n9),rdnn(n0),rdnn(n9),rdnn(n0)) )).+fof(rdn_digit_add_n9_n1_n0_n1,axiom,(+ rdn_digit_add(rdnn(n9),rdnn(n1),rdnn(n0),rdnn(n1)) )).+fof(rdn_digit_add_n9_n2_n1_n1,axiom,(+ rdn_digit_add(rdnn(n9),rdnn(n2),rdnn(n1),rdnn(n1)) )).+fof(rdn_digit_add_n9_n3_n2_n1,axiom,(+ rdn_digit_add(rdnn(n9),rdnn(n3),rdnn(n2),rdnn(n1)) )).+fof(rdn_digit_add_n9_n4_n3_n1,axiom,(+ rdn_digit_add(rdnn(n9),rdnn(n4),rdnn(n3),rdnn(n1)) )).+fof(rdn_digit_add_n9_n5_n4_n1,axiom,(+ rdn_digit_add(rdnn(n9),rdnn(n5),rdnn(n4),rdnn(n1)) )).+fof(rdn_digit_add_n9_n6_n5_n1,axiom,(+ rdn_digit_add(rdnn(n9),rdnn(n6),rdnn(n5),rdnn(n1)) )).+fof(rdn_digit_add_n9_n7_n6_n1,axiom,(+ rdn_digit_add(rdnn(n9),rdnn(n7),rdnn(n6),rdnn(n1)) )).+fof(rdn_digit_add_n9_n8_n7_n1,axiom,(+ rdn_digit_add(rdnn(n9),rdnn(n8),rdnn(n7),rdnn(n1)) )).+fof(rdn_digit_add_n9_n9_n8_n1,axiom,(+ rdn_digit_add(rdnn(n9),rdnn(n9),rdnn(n8),rdnn(n1)) )).+%------------------------------------------------------------------------------
+ test-data/tptp/fof/PLA002+0.ax view
@@ -0,0 +1,297 @@+%--------------------------------------------------------------------------+% File : PLA002+0 : TPTP v7.2.0. Released v2.4.0.+% Domain : Planning (Blocks world)+% Axioms : Blocks world axioms+% Version : [Bau99] axioms.+% English :++% Refs : [Bau99] Baumgartner (1999), FTP'2000 - Problem Sets+% [KS96] Kautz & Selman (1996), Pushing the Envelope: Planning,+% [KS92] Kautz & Selman (1992), Planning as Satisfiability+% Source : [Bau99]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 24 ( 0 unit)+% Number of atoms : 119 ( 0 equality)+% Maximal formula depth : 10 ( 8 average)+% Number of connectives : 120 ( 25 ~ ; 0 |; 43 &)+% ( 0 <=>; 52 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 10 ( 0 propositional; 1-3 arity)+% Number of functors : 1 ( 0 constant; 1-1 arity)+% Number of variables : 64 ( 0 singleton; 64 !; 0 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+% blocks_axioms:+fof(place_object_block_on_destination,axiom,+ ( ! [I,X] :+ ( nonfixed(X)+ => ! [Z] :+ ( ( a_block(Z)+ & neq(X,Z) )+ => ( ( time(I)+ & object(X,I)+ & destination(Z,I) )+ => on(X,Z,s(I)) ) ) ) )).++% All( x, block, ! member( x, fixed),+% All( y, block, ! eql( x, y),+% Disj(+% Not( L2("object", x, i));+% Not( L2("source", y, i));+% Not( L3("on", x, y, 1 + i)))));+fof(remove_object_block_from_source,axiom,+ ( ! [I,X] :+ ( nonfixed(X)+ => ! [Y] :+ ( ( a_block(Y)+ & neq(X,Y) )+ => ( ( time(I)+ & object(X,I)+ & source(Y,I) )+ => ~ on(X,Y,s(I)) ) ) ) )).++% All( y, block, ! member( y, fixed),+% Disj(+% Not( L2("source", y, i));+% L2("clear", y, 1 + i);+% ));+fof(clear_source_after_removal,axiom,+ ( ! [I,Y] :+ ( nonfixed(Y)+ => ( ( time(I)+ & source(Y,I) )+ => clear(Y,s(I)) ) ) )).++% All( z, block, ! member( z, fixed),+% Disj(+% Not( L2("destination", z, i));+% Not( L2("clear", z, 1 + i))));+fof(not_clear_destination_after_placement,axiom,+ ( ! [I,Z] :+ ( nonfixed(Z)+ => ( ( time(I)+ & destination(Z,I) )+ => ~ clear(Z,s(I)) ) ) )).++fof(object_block_on_source,axiom,+ ( ! [I,X] :+ ( nonfixed(X)+ => ! [Y] :+ ( ( a_block(Y)+ & neq(X,Y) )+ => ( ( object(X,I)+ & source(Y,I) )+ => on(X,Y,I) ) ) ) )).++% All( x, block, ! member( x, fixed),+% Disj(+% Not( L2("object", x, i));+% L2("clear", x, i)));+fof(object_block_is_clear,axiom,+ ( ! [I,X] :+ ( nonfixed(X)+ => ( object(X,I)+ => clear(X,I) ) ) )).++% All( z, block, ! member( z, fixed),+% Disj(+% Not( L2("destination", z, i));+% L2("clear", z, i)));+fof(destination_block_is_clear,axiom,+ ( ! [I,Z] :+ ( nonfixed(Z)+ => ( destination(Z,I)+ => clear(Z,I) ) ) )).++fof(non_destination_remains_clear,axiom,+ ( ! [I,W] :+ ( nonfixed(W)+ => ( ( time(I)+ & ~ destination(W,I)+ & clear(W,I) )+ => clear(W,s(I)) ) ) )).++% All( v, block, ! member( v, fixed),+% All( w, block, !eql( v, w),+% Disj(+% L2("object", v, i);+% Not( L3("on", v, w, i)) ;+% L3("on", v, w, 1 + i))));+fof(non_object_remains_on,axiom,+ ( ! [I,V] :+ ( nonfixed(V)+ => ! [W] :+ ( ( a_block(W)+ & neq(V,W) )+ => ( ( time(I)+ & ~ object(V,I)+ & on(V,W,I) )+ => on(V,W,s(I)) ) ) ) )).++fof(non_source_remains_not_clear,axiom,+ ( ! [I,W] :+ ( nonfixed(W)+ => ( ( time(I)+ & ~ source(W,I)+ & ~ clear(W,I) )+ => ~ clear(W,s(I)) ) ) )).++% All( v, block, ! member( v, fixed),+% All( w, block, ! eql( v, w),+% Disj(+% L2("object", v, i);+% L3("on", v, w, i) ;+% Not( L3("on", v, w, 1 + i)))));+fof(non_object_remains_not_on,axiom,+ ( ! [I,V] :+ ( nonfixed(V)+ => ! [W] :+ ( ( a_block(W)+ & neq(V,W) )+ => ( ( time(I)+ & ~ object(V,I)+ & ~ on(V,W,I) )+ => ~ on(V,W,s(I)) ) ) ) )).++% All( v, block, ! member( v, fixed),+% All( w, block, ! eql( v, w),+% Disj(+% L2("destination", w, i);+% L3("on", v, w, i);+% Not( L3("on", v, w, 1 + i)))));+fof(non_destination_remains_not_on,axiom,+ ( ! [I,V] :+ ( nonfixed(V)+ => ! [W] :+ ( ( a_block(W)+ & neq(V,W) )+ => ( ( time(I)+ & ~ destination(W,I)+ & ~ on(V,W,I) )+ => ~ on(V,W,s(I)) ) ) ) )).++fof(only_one_object_block,axiom,+ ( ! [I,X1] :+ ( nonfixed(X1)+ => ! [X2] :+ ( ( a_block(X2)+ & neq(X1,X2) )+ => ~ ( object(X1,I)+ & object(X2,I) ) ) ) )).++% All( y1, block, 1,+% All( y2, block, ! eql( y1, y2),+% Disj(+% Not( L2("source", y1, i));+% Not( L2("source", y2, i)))));+fof(only_one_source_block,axiom,+ ( ! [I,Y1] :+ ( a_block(Y1)+ => ! [Y2] :+ ( ( a_block(Y2)+ & neq(Y1,Y2) )+ => ~ ( source(Y1,I)+ & source(Y2,I) ) ) ) )).++% All( z1, block, 1,+% All( z2, block, ! eql( z1, z2),+% Disj(+% Not( L2("destination", z1, i));+% Not( L2("destination", z2, i)))));+fof(only_one_destination_block,axiom,+ ( ! [I,Z1] :+ ( a_block(Z1)+ => ! [Z2] :+ ( ( a_block(Z2)+ & neq(Z1,Z2) )+ => ~ ( destination(Z1,I)+ & destination(Z2,I) ) ) ) )).++fof(object_is_not_source,axiom,+ ( ! [I,X] :+ ( nonfixed(X)+ => ~ ( object(X,I)+ & source(X,I) ) ) )).++% All( x, block, ! member( x, fixed),+% Disj(+% Not( L2("object", x, i));+% Not( L2("destination", x, i))));+fof(object_is_not_destination,axiom,+ ( ! [I,X] :+ ( nonfixed(X)+ => ~ ( object(X,I)+ & destination(X,I) ) ) )).++% All( y, block, y,+% Disj(+% Not( L2("source", y, i));+% Not( L2("destination", y, i))));+fof(source_is_not_destination,axiom,+ ( ! [I,Y] :+ ( a_block(Y)+ => ~ ( source(Y,I)+ & destination(Y,I) ) ) )).++%% on_axioms:+fof(not_on_each_other,axiom,+ ( ! [I,X] :+ ( a_block(X)+ => ! [Y] :+ ( ( a_block(Y)+ & neq(X,Y) )+ => ~ ( on(X,Y,I)+ & on(Y,X,I) ) ) ) )).++fof(not_on_self,axiom,+ ( ! [I,X] :+ ( a_block(X)+ => ~ on(X,X,I) ) )).++fof(only_one_on,axiom,+ ( ! [I,X] :+ ( nonfixed(X)+ => ! [Y] :+ ( ( nonfixed(Y)+ & neq(X,Y) )+ => ! [Z] :+ ( ( nonfixed(Z)+ & neq(X,Z)+ & neq(Y,Z) )+ => ~ ( on(X,Y,I)+ & on(Z,Y,I) ) ) ) ) )).++fof(only_on_one_thing,axiom,+ ( ! [I,X] :+ ( nonfixed(X)+ => ! [Y] :+ ( ( a_block(Y)+ & neq(X,Y) )+ => ! [Z] :+ ( ( a_block(Z)+ & neq(X,Z)+ & neq(Y,Z) )+ => ~ ( on(X,Y,I)+ & on(X,Z,I) ) ) ) ) )).++fof(not_clear_if_something_on,axiom,+ ( ! [I,X] :+ ( nonfixed(X)+ => ! [Y] :+ ( nonfixed(Y)+ => ~ ( on(X,Y,I)+ & clear(Y,I) ) ) ) )).++fof(fixed_not_on_anything,axiom,+ ( ! [I,X] :+ ( a_block(X)+ => ! [Y] :+ ( fixed(Y)+ => ~ on(Y,X,I) ) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/PRD001+0.ax view
@@ -0,0 +1,7340 @@+%------------------------------------------------------------------------------+% File : PRD001+0 : TPTP v7.2.0. Released v6.2.0.+% Domain : Products+% Axioms : Wine facts+% Version : [Lua15] axioms.+% English : ++% Refs : [Lua15] Meng (2015), Email to G. Sutcliffe+% Source : [Lua15]+% Names : ++% Status : Satisfiable+% Syntax : Number of formulae : 1614 ( 653 unit)+% Number of atoms : 3121 ( 0 equality)+% Maximal formula depth : 9 ( 3 average)+% Number of connectives : 1507 ( 0 ~; 0 |; 546 &)+% ( 0 <=>; 961 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 338 ( 0 propositional; 1-2 arity)+% Number of functors : 161 ( 161 constant; 0-0 arity)+% Number of variables : 1376 ( 0 sgn;1376 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC :++% Comments : See http://projects.semwebcentral.org/scm/viewvc.php/+% openrulebench/recursion/data/wine_data.tgz?root=rulebench&+% view=log (wine_data.tgz)+%------------------------------------------------------------------------------+fof(act1_formula1,axiom,(+ hasbody_aux(pulignymontrachetwhiteburgundy,medium) )).++fof(act1_formula2,axiom,(+ hasbody_aux(formanchardonnay,full) )).++fof(act1_formula3,axiom,(+ hasbody_aux(foxencheninblanc,full) )).++fof(act1_formula4,axiom,(+ hasbody_aux(chianticlassico,medium) )).++fof(act1_formula5,axiom,(+ hasbody_aux(cortonmontrachetwhiteburgundy,full) )).++fof(act1_formula6,axiom,(+ hasbody_aux(corbansprivatebinsauvignonblanc,full) )).++fof(act1_formula7,axiom,(+ hasbody_aux(congressspringssemillon,medium) )).++fof(act1_formula8,axiom,(+ hasbody_aux(mariettapetitesyrah,medium) )).++fof(act1_formula9,axiom,(+ hasbody_aux(corbanssauvignonblanc,medium) )).++fof(act1_formula10,axiom,(+ hasbody_aux(petermccoychardonnay,medium) )).++fof(act1_formula11,axiom,(+ hasbody_aux(selaksicewine,medium) )).++fof(act1_formula12,axiom,(+ hasbody_aux(bancroftchardonnay,medium) )).++fof(act1_formula13,axiom,(+ hasbody_aux(elysezinfandel,full) )).++fof(act1_formula14,axiom,(+ hasbody_aux(mountadampinotnoir,medium) )).++fof(act1_formula15,axiom,(+ hasbody_aux(mariettacabernetsauvignon,medium) )).++fof(act1_formula16,axiom,(+ hasbody_aux(schlossrothermeltrochenbierenausleseriesling,full) )).++fof(act1_formula17,axiom,(+ hasbody_aux(garyfarrellmerlot,medium) )).++fof(act1_formula18,axiom,(+ hasbody_aux(cotturizinfandel,full) )).++fof(act1_formula19,axiom,(+ hasbody_aux(mariettaoldvinesred,medium) )).++fof(act1_formula20,axiom,(+ hasbody_aux(longridgemerlot,light) )).++fof(act1_formula21,axiom,(+ hasbody_aux(kalincellarssemillon,full) )).++fof(act1_formula22,axiom,(+ hasbody_aux(pagemillwinerycabernetsauvignon,medium) )).++fof(act1_formula23,axiom,(+ hasbody_aux(seanthackreysiriuspetitesyrah,full) )).++fof(act1_formula24,axiom,(+ hasbody_aux(saucelitocanyonzinfandel1998,medium) )).++fof(act1_formula25,axiom,(+ hasbody_aux(whitehalllaneprimavera,light) )).++fof(act1_formula26,axiom,(+ hasbody_aux(santacruzmountainvineyardcabernetsauvignon,full) )).++fof(act1_formula27,axiom,(+ hasbody_aux(lanetannerpinotnoir,light) )).++fof(act1_formula28,axiom,(+ hasbody_aux(corbansdrywhiteriesling,medium) )).++fof(act1_formula29,axiom,(+ hasbody_aux(mountadamchardonnay,full) )).++fof(act1_formula30,axiom,(+ hasbody_aux(mountadamriesling,medium) )).++fof(act1_formula31,axiom,(+ hasbody_aux(mariettazinfandel,medium) )).++fof(act1_formula32,axiom,(+ hasbody_aux(kathrynkennedylateral,medium) )).++fof(act1_formula33,axiom,(+ hasbody_aux(mountedenvineyardestatepinotnoir,full) )).++fof(act1_formula34,axiom,(+ hasbody_aux(whitehalllanecabernetfranc,medium) )).++fof(act1_formula35,axiom,(+ hasbody_aux(ventanacheninblanc,medium) )).++fof(act1_formula36,axiom,(+ hasbody_aux(saucelitocanyonzinfandel,medium) )).++fof(act1_formula37,axiom,(+ hasbody_aux(formancabernetsauvignon,medium) )).++fof(act1_formula38,axiom,(+ hasbody_aux(schlossvolradtrochenbierenausleseriesling,full) )).++fof(act1_formula39,axiom,(+ hasbody_aux(mountedenvineyardednavalleychardonnay,medium) )).++fof(act1_formula40,axiom,(+ hasbody_aux(stonleighsauvignonblanc,medium) )).++fof(act1_formula41,axiom,(+ hasbody_aux(selakssauvignonblanc,medium) )).++fof(act1_formula42,axiom,(+ hascolor_aux(selaksicewine,white) )).++fof(act1_formula43,axiom,(+ hasflavor_aux(pulignymontrachetwhiteburgundy,moderate) )).++fof(act1_formula44,axiom,(+ hasflavor_aux(formanchardonnay,moderate) )).++fof(act1_formula45,axiom,(+ hasflavor_aux(stgenevievetexaswhite,moderate) )).++fof(act1_formula46,axiom,(+ hasflavor_aux(foxencheninblanc,moderate) )).++fof(act1_formula47,axiom,(+ hasflavor_aux(cortonmontrachetwhiteburgundy,strong) )).++fof(act1_formula48,axiom,(+ hasflavor_aux(corbansprivatebinsauvignonblanc,strong) )).++fof(act1_formula49,axiom,(+ hasflavor_aux(congressspringssemillon,moderate) )).++fof(act1_formula50,axiom,(+ hasflavor_aux(mariettapetitesyrah,moderate) )).++fof(act1_formula51,axiom,(+ hasflavor_aux(corbanssauvignonblanc,strong) )).++fof(act1_formula52,axiom,(+ hasflavor_aux(petermccoychardonnay,moderate) )).++fof(act1_formula53,axiom,(+ hasflavor_aux(selaksicewine,moderate) )).++fof(act1_formula54,axiom,(+ hasflavor_aux(bancroftchardonnay,moderate) )).++fof(act1_formula55,axiom,(+ hasflavor_aux(elysezinfandel,moderate) )).++fof(act1_formula56,axiom,(+ hasflavor_aux(mountadampinotnoir,moderate) )).++fof(act1_formula57,axiom,(+ hasflavor_aux(chateaudychemsauterne,strong) )).++fof(act1_formula58,axiom,(+ hasflavor_aux(mariettacabernetsauvignon,moderate) )).++fof(act1_formula59,axiom,(+ hasflavor_aux(schlossrothermeltrochenbierenausleseriesling,strong) )).++fof(act1_formula60,axiom,(+ hasflavor_aux(garyfarrellmerlot,moderate) )).++fof(act1_formula61,axiom,(+ hasflavor_aux(cotturizinfandel,strong) )).++fof(act1_formula62,axiom,(+ hasflavor_aux(mariettaoldvinesred,moderate) )).++fof(act1_formula63,axiom,(+ hasflavor_aux(longridgemerlot,moderate) )).++fof(act1_formula64,axiom,(+ hasflavor_aux(kalincellarssemillon,strong) )).++fof(act1_formula65,axiom,(+ hasflavor_aux(pagemillwinerycabernetsauvignon,moderate) )).++fof(act1_formula66,axiom,(+ hasflavor_aux(seanthackreysiriuspetitesyrah,strong) )).++fof(act1_formula67,axiom,(+ hasflavor_aux(saucelitocanyonzinfandel1998,moderate) )).++fof(act1_formula68,axiom,(+ hasflavor_aux(chateaudemeursaultmeursault,moderate) )).++fof(act1_formula69,axiom,(+ hasflavor_aux(whitehalllaneprimavera,delicate) )).++fof(act1_formula70,axiom,(+ hasflavor_aux(santacruzmountainvineyardcabernetsauvignon,strong) )).++fof(act1_formula71,axiom,(+ hasflavor_aux(lanetannerpinotnoir,delicate) )).++fof(act1_formula72,axiom,(+ hasflavor_aux(corbansdrywhiteriesling,moderate) )).++fof(act1_formula73,axiom,(+ hasflavor_aux(mountadamchardonnay,strong) )).++fof(act1_formula74,axiom,(+ hasflavor_aux(mountadamriesling,delicate) )).++fof(act1_formula75,axiom,(+ hasflavor_aux(mariettazinfandel,moderate) )).++fof(act1_formula76,axiom,(+ hasflavor_aux(kathrynkennedylateral,delicate) )).++fof(act1_formula77,axiom,(+ hasflavor_aux(mountedenvineyardestatepinotnoir,strong) )).++fof(act1_formula78,axiom,(+ hasflavor_aux(whitehalllanecabernetfranc,moderate) )).++fof(act1_formula79,axiom,(+ hasflavor_aux(ventanacheninblanc,moderate) )).++fof(act1_formula80,axiom,(+ hasflavor_aux(saucelitocanyonzinfandel,moderate) )).++fof(act1_formula81,axiom,(+ hasflavor_aux(formancabernetsauvignon,strong) )).++fof(act1_formula82,axiom,(+ hasflavor_aux(schlossvolradtrochenbierenausleseriesling,moderate) )).++fof(act1_formula83,axiom,(+ hasflavor_aux(mountedenvineyardednavalleychardonnay,moderate) )).++fof(act1_formula84,axiom,(+ hasflavor_aux(stonleighsauvignonblanc,delicate) )).++fof(act1_formula85,axiom,(+ hasflavor_aux(selakssauvignonblanc,moderate) )).++fof(act1_formula86,axiom,(+ hasmaker_aux(pulignymontrachetwhiteburgundy,pulignymontrachet) )).++fof(act1_formula87,axiom,(+ hasmaker_aux(chateaulafiterothschildpauillac,chateaulafiterothschild) )).++fof(act1_formula88,axiom,(+ hasmaker_aux(formanchardonnay,forman) )).++fof(act1_formula89,axiom,(+ hasmaker_aux(stgenevievetexaswhite,stgenevieve) )).++fof(act1_formula90,axiom,(+ hasmaker_aux(foxencheninblanc,foxen) )).++fof(act1_formula91,axiom,(+ hasmaker_aux(chianticlassico,mcguinnesso) )).++fof(act1_formula92,axiom,(+ hasmaker_aux(cortonmontrachetwhiteburgundy,cortonmontrachet) )).++fof(act1_formula93,axiom,(+ hasmaker_aux(corbansprivatebinsauvignonblanc,corbans) )).++fof(act1_formula94,axiom,(+ hasmaker_aux(congressspringssemillon,congresssprings) )).++fof(act1_formula95,axiom,(+ hasmaker_aux(mariettapetitesyrah,marietta) )).++fof(act1_formula96,axiom,(+ hasmaker_aux(corbanssauvignonblanc,corbans) )).++fof(act1_formula97,axiom,(+ hasmaker_aux(petermccoychardonnay,petermccoy) )).++fof(act1_formula98,axiom,(+ hasmaker_aux(selaksicewine,selaks) )).++fof(act1_formula99,axiom,(+ hasmaker_aux(bancroftchardonnay,bancroft) )).++fof(act1_formula100,axiom,(+ hasmaker_aux(chateauchevalblancstemilion,chateauchevalblanc) )).++fof(act1_formula101,axiom,(+ hasmaker_aux(chateaumorgonbeaujolais,chateaumorgon) )).++fof(act1_formula102,axiom,(+ hasmaker_aux(elysezinfandel,elyse) )).++fof(act1_formula103,axiom,(+ hasmaker_aux(mountadampinotnoir,mountadam) )).++fof(act1_formula104,axiom,(+ hasmaker_aux(taylorport,taylor) )).++fof(act1_formula105,axiom,(+ hasmaker_aux(chateaudychemsauterne,chateaudychem) )).++fof(act1_formula106,axiom,(+ hasmaker_aux(mariettacabernetsauvignon,marietta) )).++fof(act1_formula107,axiom,(+ hasmaker_aux(schlossrothermeltrochenbierenausleseriesling,schlossrothermel) )).++fof(act1_formula108,axiom,(+ hasmaker_aux(garyfarrellmerlot,garyfarrell) )).++fof(act1_formula109,axiom,(+ hasmaker_aux(closdevougeotcotesdor,closdevougeot) )).++fof(act1_formula110,axiom,(+ hasmaker_aux(cotturizinfandel,cotturi) )).++fof(act1_formula111,axiom,(+ hasmaker_aux(closdelapoussiesancerre,closdelapoussie) )).++fof(act1_formula112,axiom,(+ hasmaker_aux(mariettaoldvinesred,marietta) )).++fof(act1_formula113,axiom,(+ hasmaker_aux(longridgemerlot,longridge) )).++fof(act1_formula114,axiom,(+ hasmaker_aux(kalincellarssemillon,kalincellars) )).++fof(act1_formula115,axiom,(+ hasmaker_aux(pagemillwinerycabernetsauvignon,pagemillwinery) )).++fof(act1_formula116,axiom,(+ hasmaker_aux(seanthackreysiriuspetitesyrah,seanthackrey) )).++fof(act1_formula117,axiom,(+ hasmaker_aux(saucelitocanyonzinfandel1998,saucelitocanyon) )).++fof(act1_formula118,axiom,(+ hasmaker_aux(chateaudemeursaultmeursault,chateaudemeursault) )).++fof(act1_formula119,axiom,(+ hasmaker_aux(santacruzmountainvineyardcabernetsauvignon,santacruzmountainvineyard) )).++fof(act1_formula120,axiom,(+ hasmaker_aux(lanetannerpinotnoir,lanetanner) )).++fof(act1_formula121,axiom,(+ hasmaker_aux(corbansdrywhiteriesling,corbans) )).++fof(act1_formula122,axiom,(+ hasmaker_aux(rosedanjou,danjou) )).++fof(act1_formula123,axiom,(+ hasmaker_aux(mountadamchardonnay,mountadam) )).++fof(act1_formula124,axiom,(+ hasmaker_aux(mountadamriesling,mountadam) )).++fof(act1_formula125,axiom,(+ hasmaker_aux(mariettazinfandel,marietta) )).++fof(act1_formula126,axiom,(+ hasmaker_aux(chateaumargaux,chateaumargauxwinery) )).++fof(act1_formula127,axiom,(+ hasmaker_aux(kathrynkennedylateral,kathrynkennedy) )).++fof(act1_formula128,axiom,(+ hasmaker_aux(mountedenvineyardestatepinotnoir,mountedenvineyard) )).++fof(act1_formula129,axiom,(+ hasmaker_aux(whitehalllanecabernetfranc,whitehalllane) )).++fof(act1_formula130,axiom,(+ hasmaker_aux(ventanacheninblanc,ventana) )).++fof(act1_formula131,axiom,(+ hasmaker_aux(saucelitocanyonzinfandel,saucelitocanyon) )).++fof(act1_formula132,axiom,(+ hasmaker_aux(formancabernetsauvignon,forman) )).++fof(act1_formula133,axiom,(+ hasmaker_aux(schlossvolradtrochenbierenausleseriesling,schlossvolrad) )).++fof(act1_formula134,axiom,(+ hasmaker_aux(mountedenvineyardednavalleychardonnay,mountedenvineyard) )).++fof(act1_formula135,axiom,(+ hasmaker_aux(stonleighsauvignonblanc,stonleigh) )).++fof(act1_formula136,axiom,(+ hasmaker_aux(selakssauvignonblanc,selaks) )).++fof(act1_formula137,axiom,(+ hasmaker_aux(sevreetmainemuscadet,sevreetmaine) )).++fof(act1_formula138,axiom,(+ hassugar_aux(pulignymontrachetwhiteburgundy,dry) )).++fof(act1_formula139,axiom,(+ hassugar_aux(formanchardonnay,dry) )).++fof(act1_formula140,axiom,(+ hassugar_aux(stgenevievetexaswhite,dry) )).++fof(act1_formula141,axiom,(+ hassugar_aux(foxencheninblanc,dry) )).++fof(act1_formula142,axiom,(+ hassugar_aux(cortonmontrachetwhiteburgundy,dry) )).++fof(act1_formula143,axiom,(+ hassugar_aux(corbansprivatebinsauvignonblanc,dry) )).++fof(act1_formula144,axiom,(+ hassugar_aux(congressspringssemillon,dry) )).++fof(act1_formula145,axiom,(+ hassugar_aux(mariettapetitesyrah,dry) )).++fof(act1_formula146,axiom,(+ hassugar_aux(corbanssauvignonblanc,dry) )).++fof(act1_formula147,axiom,(+ hassugar_aux(petermccoychardonnay,dry) )).++fof(act1_formula148,axiom,(+ hassugar_aux(bancroftchardonnay,dry) )).++fof(act1_formula149,axiom,(+ hassugar_aux(elysezinfandel,dry) )).++fof(act1_formula150,axiom,(+ hassugar_aux(mountadampinotnoir,dry) )).++fof(act1_formula151,axiom,(+ hassugar_aux(mariettacabernetsauvignon,dry) )).++fof(act1_formula152,axiom,(+ hassugar_aux(schlossrothermeltrochenbierenausleseriesling,sweet) )).++fof(act1_formula153,axiom,(+ hassugar_aux(garyfarrellmerlot,dry) )).++fof(act1_formula154,axiom,(+ hassugar_aux(cotturizinfandel,dry) )).++fof(act1_formula155,axiom,(+ hassugar_aux(mariettaoldvinesred,dry) )).++fof(act1_formula156,axiom,(+ hassugar_aux(longridgemerlot,dry) )).++fof(act1_formula157,axiom,(+ hassugar_aux(kalincellarssemillon,dry) )).++fof(act1_formula158,axiom,(+ hassugar_aux(pagemillwinerycabernetsauvignon,dry) )).++fof(act1_formula159,axiom,(+ hassugar_aux(seanthackreysiriuspetitesyrah,dry) )).++fof(act1_formula160,axiom,(+ hassugar_aux(saucelitocanyonzinfandel1998,dry) )).++fof(act1_formula161,axiom,(+ hassugar_aux(whitehalllaneprimavera,sweet) )).++fof(act1_formula162,axiom,(+ hassugar_aux(santacruzmountainvineyardcabernetsauvignon,dry) )).++fof(act1_formula163,axiom,(+ hassugar_aux(lanetannerpinotnoir,dry) )).++fof(act1_formula164,axiom,(+ hassugar_aux(corbansdrywhiteriesling,offdry) )).++fof(act1_formula165,axiom,(+ hassugar_aux(mountadamchardonnay,dry) )).++fof(act1_formula166,axiom,(+ hassugar_aux(mountadamriesling,dry) )).++fof(act1_formula167,axiom,(+ hassugar_aux(mariettazinfandel,dry) )).++fof(act1_formula168,axiom,(+ hassugar_aux(kathrynkennedylateral,dry) )).++fof(act1_formula169,axiom,(+ hassugar_aux(mountedenvineyardestatepinotnoir,dry) )).++fof(act1_formula170,axiom,(+ hassugar_aux(whitehalllanecabernetfranc,dry) )).++fof(act1_formula171,axiom,(+ hassugar_aux(ventanacheninblanc,offdry) )).++fof(act1_formula172,axiom,(+ hassugar_aux(saucelitocanyonzinfandel,dry) )).++fof(act1_formula173,axiom,(+ hassugar_aux(formancabernetsauvignon,dry) )).++fof(act1_formula174,axiom,(+ hassugar_aux(schlossvolradtrochenbierenausleseriesling,sweet) )).++fof(act1_formula175,axiom,(+ hassugar_aux(mountedenvineyardednavalleychardonnay,dry) )).++fof(act1_formula176,axiom,(+ hassugar_aux(stonleighsauvignonblanc,dry) )).++fof(act1_formula177,axiom,(+ hassugar_aux(selakssauvignonblanc,dry) )).++fof(act1_formula178,axiom,(+ locatedin_aux(californiaregion,usregion) )).++fof(act1_formula179,axiom,(+ locatedin_aux(sancerreregion,loireregion) )).++fof(act1_formula180,axiom,(+ locatedin_aux(formanchardonnay,naparegion) )).++fof(act1_formula181,axiom,(+ locatedin_aux(stgenevievetexaswhite,centraltexasregion) )).++fof(act1_formula182,axiom,(+ locatedin_aux(foxencheninblanc,santabarbararegion) )).++fof(act1_formula183,axiom,(+ locatedin_aux(loireregion,frenchregion) )).++fof(act1_formula184,axiom,(+ locatedin_aux(corbansprivatebinsauvignonblanc,newzealandregion) )).++fof(act1_formula185,axiom,(+ locatedin_aux(mariettapetitesyrah,sonomaregion) )).++fof(act1_formula186,axiom,(+ locatedin_aux(corbanssauvignonblanc,newzealandregion) )).++fof(act1_formula187,axiom,(+ locatedin_aux(petermccoychardonnay,sonomaregion) )).++fof(act1_formula188,axiom,(+ locatedin_aux(selaksicewine,newzealandregion) )).++fof(act1_formula189,axiom,(+ locatedin_aux(bancroftchardonnay,naparegion) )).++fof(act1_formula190,axiom,(+ locatedin_aux(elysezinfandel,naparegion) )).++fof(act1_formula191,axiom,(+ locatedin_aux(naparegion,californiaregion) )).++fof(act1_formula192,axiom,(+ locatedin_aux(mountadampinotnoir,southaustraliaregion) )).++fof(act1_formula193,axiom,(+ locatedin_aux(chiantiregion,italianregion) )).++fof(act1_formula194,axiom,(+ locatedin_aux(mariettacabernetsauvignon,sonomaregion) )).++fof(act1_formula195,axiom,(+ locatedin_aux(sauterneregion,bordeauxregion) )).++fof(act1_formula196,axiom,(+ locatedin_aux(pauillacregion,medocregion) )).++fof(act1_formula197,axiom,(+ locatedin_aux(centraltexasregion,texasregion) )).++fof(act1_formula198,axiom,(+ locatedin_aux(schlossrothermeltrochenbierenausleseriesling,germanyregion) )).++fof(act1_formula199,axiom,(+ locatedin_aux(garyfarrellmerlot,sonomaregion) )).++fof(act1_formula200,axiom,(+ locatedin_aux(bordeauxregion,frenchregion) )).++fof(act1_formula201,axiom,(+ locatedin_aux(cotturizinfandel,sonomaregion) )).++fof(act1_formula202,axiom,(+ locatedin_aux(anjouregion,loireregion) )).++fof(act1_formula203,axiom,(+ locatedin_aux(centralcoastregion,californiaregion) )).++fof(act1_formula204,axiom,(+ locatedin_aux(mariettaoldvinesred,sonomaregion) )).++fof(act1_formula205,axiom,(+ locatedin_aux(longridgemerlot,newzealandregion) )).++fof(act1_formula206,axiom,(+ locatedin_aux(sonomaregion,californiaregion) )).++fof(act1_formula207,axiom,(+ locatedin_aux(santabarbararegion,californiaregion) )).++fof(act1_formula208,axiom,(+ locatedin_aux(pagemillwinerycabernetsauvignon,naparegion) )).++fof(act1_formula209,axiom,(+ locatedin_aux(seanthackreysiriuspetitesyrah,naparegion) )).++fof(act1_formula210,axiom,(+ locatedin_aux(saucelitocanyonzinfandel1998,arroyogranderegion) )).++fof(act1_formula211,axiom,(+ locatedin_aux(medocregion,bordeauxregion) )).++fof(act1_formula212,axiom,(+ locatedin_aux(southaustraliaregion,australianregion) )).++fof(act1_formula213,axiom,(+ locatedin_aux(whitehalllaneprimavera,naparegion) )).++fof(act1_formula214,axiom,(+ locatedin_aux(santacruzmountainvineyardcabernetsauvignon,santacruzmountainsregion) )).++fof(act1_formula215,axiom,(+ locatedin_aux(lanetannerpinotnoir,santabarbararegion) )).++fof(act1_formula216,axiom,(+ locatedin_aux(mendocinoregion,californiaregion) )).++fof(act1_formula217,axiom,(+ locatedin_aux(santacruzmountainsregion,californiaregion) )).++fof(act1_formula218,axiom,(+ locatedin_aux(corbansdrywhiteriesling,newzealandregion) )).++fof(act1_formula219,axiom,(+ locatedin_aux(margauxregion,medocregion) )).++fof(act1_formula220,axiom,(+ locatedin_aux(texasregion,usregion) )).++fof(act1_formula221,axiom,(+ locatedin_aux(muscadetregion,loireregion) )).++fof(act1_formula222,axiom,(+ locatedin_aux(mountadamchardonnay,southaustraliaregion) )).++fof(act1_formula223,axiom,(+ locatedin_aux(alsaceregion,frenchregion) )).++fof(act1_formula224,axiom,(+ locatedin_aux(mountadamriesling,southaustraliaregion) )).++fof(act1_formula225,axiom,(+ locatedin_aux(stemilionregion,bordeauxregion) )).++fof(act1_formula226,axiom,(+ locatedin_aux(bourgogneregion,frenchregion) )).++fof(act1_formula227,axiom,(+ locatedin_aux(mariettazinfandel,sonomaregion) )).++fof(act1_formula228,axiom,(+ locatedin_aux(toursregion,loireregion) )).++fof(act1_formula229,axiom,(+ locatedin_aux(cotesdorregion,bourgogneregion) )).++fof(act1_formula230,axiom,(+ locatedin_aux(mountedenvineyardestatepinotnoir,ednavalleyregion) )).++fof(act1_formula231,axiom,(+ locatedin_aux(whitehalllanecabernetfranc,naparegion) )).++fof(act1_formula232,axiom,(+ locatedin_aux(ventanacheninblanc,centralcoastregion) )).++fof(act1_formula233,axiom,(+ locatedin_aux(saucelitocanyonzinfandel,arroyogranderegion) )).++fof(act1_formula234,axiom,(+ locatedin_aux(formancabernetsauvignon,naparegion) )).++fof(act1_formula235,axiom,(+ locatedin_aux(schlossvolradtrochenbierenausleseriesling,germanyregion) )).++fof(act1_formula236,axiom,(+ locatedin_aux(beaujolaisregion,frenchregion) )).++fof(act1_formula237,axiom,(+ locatedin_aux(mountedenvineyardednavalleychardonnay,ednavalleyregion) )).++fof(act1_formula238,axiom,(+ locatedin_aux(meursaultregion,bourgogneregion) )).++fof(act1_formula239,axiom,(+ locatedin_aux(ednavalleyregion,californiaregion) )).++fof(act1_formula240,axiom,(+ locatedin_aux(stonleighsauvignonblanc,newzealandregion) )).++fof(act1_formula241,axiom,(+ locatedin_aux(arroyogranderegion,californiaregion) )).++fof(act1_formula242,axiom,(+ locatedin_aux(selakssauvignonblanc,newzealandregion) )).++fof(act1_formula243,axiom,(+ madefromgrape_aux(chateaudychemsauterne,semillongrape) )).++fof(act1_formula244,axiom,(+ madefromgrape_aux(chateaudychemsauterne,sauvignonblancgrape) )).++fof(act1_formula245,axiom,(+ ot____nom1_aux(sweet) )).++fof(act1_formula246,axiom,(+ ot____nom10_aux(texasregion) )).++fof(act1_formula247,axiom,(+ ot____nom11_aux(sauvignonblancgrape) )).++fof(act1_formula248,axiom,(+ ot____nom12_aux(dry) )).++fof(act1_formula249,axiom,(+ ot____nom13_aux(alsaceregion) )).++fof(act1_formula250,axiom,(+ ot____nom14_aux(anjouregion) )).++fof(act1_formula251,axiom,(+ ot____nom15_aux(californiaregion) )).++fof(act1_formula252,axiom,(+ ot____nom16_aux(muscadetregion) )).++fof(act1_formula253,axiom,(+ ot____nom17_aux(germanyregion) )).++fof(act1_formula254,axiom,(+ ot____nom18_aux(sweet) )).++fof(act1_formula255,axiom,(+ ot____nom18_aux(dry) )).++fof(act1_formula256,axiom,(+ ot____nom18_aux(offdry) )).++fof(act1_formula257,axiom,(+ ot____nom19_aux(loireregion) )).++fof(act1_formula258,axiom,(+ ot____nom2_aux(medocregion) )).++fof(act1_formula259,axiom,(+ ot____nom20_aux(zinfandelgrape) )).++fof(act1_formula260,axiom,(+ ot____nom21_aux(pinotblancgrape) )).++fof(act1_formula261,axiom,(+ ot____nom22_aux(margauxregion) )).++fof(act1_formula262,axiom,(+ ot____nom23_aux(bordeauxregion) )).++fof(act1_formula263,axiom,(+ ot____nom24_aux(chardonnaygrape) )).++fof(act1_formula264,axiom,(+ ot____nom25_aux(petitesyrahgrape) )).++fof(act1_formula265,axiom,(+ ot____nom26_aux(beaujolaisregion) )).++fof(act1_formula266,axiom,(+ ot____nom27_aux(semillongrape) )).++fof(act1_formula267,axiom,(+ ot____nom28_aux(red) )).++fof(act1_formula268,axiom,(+ ot____nom29_aux(cabernetsauvignongrape) )).++fof(act1_formula269,axiom,(+ ot____nom3_aux(cabernetfrancgrape) )).++fof(act1_formula270,axiom,(+ ot____nom30_aux(sancerreregion) )).++fof(act1_formula271,axiom,(+ ot____nom31_aux(meursaultregion) )).++fof(act1_formula272,axiom,(+ ot____nom32_aux(rose) )).++fof(act1_formula273,axiom,(+ ot____nom33_aux(gamaygrape) )).++fof(act1_formula274,axiom,(+ ot____nom34_aux(cheninblancgrape) )).++fof(act1_formula275,axiom,(+ ot____nom35_aux(delicate) )).++fof(act1_formula276,axiom,(+ ot____nom35_aux(strong) )).++fof(act1_formula277,axiom,(+ ot____nom35_aux(moderate) )).++fof(act1_formula278,axiom,(+ ot____nom36_aux(stemilionregion) )).++fof(act1_formula279,axiom,(+ ot____nom37_aux(rieslinggrape) )).++fof(act1_formula280,axiom,(+ ot____nom38_aux(usregion) )).++fof(act1_formula281,axiom,(+ ot____nom39_aux(pinotnoirgrape) )).++fof(act1_formula282,axiom,(+ ot____nom4_aux(toursregion) )).++fof(act1_formula283,axiom,(+ ot____nom40_aux(light) )).++fof(act1_formula284,axiom,(+ ot____nom40_aux(full) )).++fof(act1_formula285,axiom,(+ ot____nom40_aux(medium) )).++fof(act1_formula286,axiom,(+ ot____nom41_aux(frenchregion) )).++fof(act1_formula287,axiom,(+ ot____nom42_aux(cotesdorregion) )).++fof(act1_formula288,axiom,(+ ot____nom43_aux(merlotgrape) )).++fof(act1_formula289,axiom,(+ ot____nom44_aux(bourgogneregion) )).++fof(act1_formula290,axiom,(+ ot____nom45_aux(full) )).++fof(act1_formula291,axiom,(+ ot____nom46_aux(pauillacregion) )).++fof(act1_formula292,axiom,(+ ot____nom47_aux(italianregion) )).++fof(act1_formula293,axiom,(+ ot____nom48_aux(moderate) )).++fof(act1_formula294,axiom,(+ ot____nom49_aux(medium) )).++fof(act1_formula295,axiom,(+ ot____nom5_aux(white) )).++fof(act1_formula296,axiom,(+ ot____nom50_aux(strong) )).++fof(act1_formula297,axiom,(+ ot____nom50_aux(moderate) )).++fof(act1_formula298,axiom,(+ ot____nom51_aux(full) )).++fof(act1_formula299,axiom,(+ ot____nom51_aux(medium) )).++fof(act1_formula300,axiom,(+ ot____nom52_aux(sauterneregion) )).++fof(act1_formula301,axiom,(+ ot____nom53_aux(sweet) )).++fof(act1_formula302,axiom,(+ ot____nom53_aux(offdry) )).++fof(act1_formula303,axiom,(+ ot____nom54_aux(offdry) )).++fof(act1_formula304,axiom,(+ ot____nom55_aux(delicate) )).++fof(act1_formula305,axiom,(+ ot____nom56_aux(light) )).++fof(act1_formula306,axiom,(+ ot____nom57_aux(portugalregion) )).++fof(act1_formula307,axiom,(+ ot____nom58_aux(strong) )).++fof(act1_formula308,axiom,(+ ot____nom59_aux(light) )).++fof(act1_formula309,axiom,(+ ot____nom59_aux(medium) )).++fof(act1_formula310,axiom,(+ ot____nom6_aux(semillongrape) )).++fof(act1_formula311,axiom,(+ ot____nom6_aux(sauvignonblancgrape) )).++fof(act1_formula312,axiom,(+ ot____nom60_aux(sangiovesegrape) )).++fof(act1_formula313,axiom,(+ ot____nom61_aux(chiantiregion) )).++fof(act1_formula314,axiom,(+ ot____nom62_aux(cabernetsauvignongrape) )).++fof(act1_formula315,axiom,(+ ot____nom62_aux(merlotgrape) )).++fof(act1_formula316,axiom,(+ ot____nom63_aux(pinotblancgrape) )).++fof(act1_formula317,axiom,(+ ot____nom63_aux(sauvignonblancgrape) )).++fof(act1_formula318,axiom,(+ ot____nom63_aux(cheninblancgrape) )).++fof(act1_formula319,axiom,(+ ot____nom64_aux(delicate) )).++fof(act1_formula320,axiom,(+ ot____nom64_aux(moderate) )).++fof(act1_formula321,axiom,(+ ot____nom7_aux(dry) )).++fof(act1_formula322,axiom,(+ ot____nom7_aux(offdry) )).++fof(act1_formula323,axiom,(+ ot____nom8_aux(cabernetfrancgrape) )).++fof(act1_formula324,axiom,(+ ot____nom8_aux(petiteverdotgrape) )).++fof(act1_formula325,axiom,(+ ot____nom8_aux(cabernetsauvignongrape) )).++fof(act1_formula326,axiom,(+ ot____nom8_aux(malbecgrape) )).++fof(act1_formula327,axiom,(+ ot____nom8_aux(merlotgrape) )).++fof(act1_formula328,axiom,(+ ot____nom9_aux(white) )).++fof(act1_formula329,axiom,(+ ot____nom9_aux(rose) )).++fof(act1_formula330,axiom,(+ ot____nom9_aux(red) )).++fof(act1_formula331,axiom,(+ wineflavor_aux(delicate) )).++fof(act1_formula332,axiom,(+ wineflavor_aux(strong) )).++fof(act1_formula333,axiom,(+ wineflavor_aux(moderate) )).++fof(act1_formula334,axiom,(+ winegrape_aux(petitesyrahgrape) )).++fof(act1_formula335,axiom,(+ winegrape_aux(zinfandelgrape) )).++fof(act1_formula336,axiom,(+ winegrape_aux(sangiovesegrape) )).++fof(act1_formula337,axiom,(+ winegrape_aux(cabernetfrancgrape) )).++fof(act1_formula338,axiom,(+ winegrape_aux(semillongrape) )).++fof(act1_formula339,axiom,(+ winegrape_aux(rieslinggrape) )).++fof(act1_formula340,axiom,(+ winegrape_aux(pinotblancgrape) )).++fof(act1_formula341,axiom,(+ winegrape_aux(gamaygrape) )).++fof(act1_formula342,axiom,(+ winegrape_aux(petiteverdotgrape) )).++fof(act1_formula343,axiom,(+ winegrape_aux(chardonnaygrape) )).++fof(act1_formula344,axiom,(+ winegrape_aux(pinotnoirgrape) )).++fof(act1_formula345,axiom,(+ winegrape_aux(cabernetsauvignongrape) )).++fof(act1_formula346,axiom,(+ winegrape_aux(sauvignonblancgrape) )).++fof(act1_formula347,axiom,(+ winegrape_aux(cheninblancgrape) )).++fof(act1_formula348,axiom,(+ winegrape_aux(malbecgrape) )).++fof(act1_formula349,axiom,(+ winegrape_aux(merlotgrape) )).++fof(act1_formula350,axiom,(+ winesugar_aux(sweet) )).++fof(act1_formula351,axiom,(+ winesugar_aux(dry) )).++fof(act1_formula352,axiom,(+ winesugar_aux(offdry) )).++fof(act1_formula353,axiom,(+ winery_aux(seanthackrey) )).++fof(act1_formula354,axiom,(+ winery_aux(marietta) )).++fof(act1_formula355,axiom,(+ winery_aux(petermccoy) )).++fof(act1_formula356,axiom,(+ winery_aux(danjou) )).++fof(act1_formula357,axiom,(+ winery_aux(stonleigh) )).++fof(act1_formula358,axiom,(+ winery_aux(schlossvolrad) )).++fof(act1_formula359,axiom,(+ winery_aux(selaks) )).++fof(act1_formula360,axiom,(+ winery_aux(cortonmontrachet) )).++fof(act1_formula361,axiom,(+ winery_aux(forman) )).++fof(act1_formula362,axiom,(+ winery_aux(chateaulafiterothschild) )).++fof(act1_formula363,axiom,(+ winery_aux(elyse) )).++fof(act1_formula364,axiom,(+ winery_aux(garyfarrell) )).++fof(act1_formula365,axiom,(+ winery_aux(closdelapoussie) )).++fof(act1_formula366,axiom,(+ winery_aux(santacruzmountainvineyard) )).++fof(act1_formula367,axiom,(+ winery_aux(closdevougeot) )).++fof(act1_formula368,axiom,(+ winery_aux(ventana) )).++fof(act1_formula369,axiom,(+ winery_aux(schlossrothermel) )).++fof(act1_formula370,axiom,(+ winery_aux(longridge) )).++fof(act1_formula371,axiom,(+ winery_aux(mcguinnesso) )).++fof(act1_formula372,axiom,(+ winery_aux(beringer) )).++fof(act1_formula373,axiom,(+ winery_aux(sevreetmaine) )).++fof(act1_formula374,axiom,(+ winery_aux(bancroft) )).++fof(act1_formula375,axiom,(+ winery_aux(whitehalllane) )).++fof(act1_formula376,axiom,(+ winery_aux(lanetanner) )).++fof(act1_formula377,axiom,(+ winery_aux(saucelitocanyon) )).++fof(act1_formula378,axiom,(+ winery_aux(mountedenvineyard) )).++fof(act1_formula379,axiom,(+ winery_aux(taylor) )).++fof(act1_formula380,axiom,(+ winery_aux(stgenevieve) )).++fof(act1_formula381,axiom,(+ winery_aux(corbans) )).++fof(act1_formula382,axiom,(+ winery_aux(kalincellars) )).++fof(act1_formula383,axiom,(+ winery_aux(chateaudychem) )).++fof(act1_formula384,axiom,(+ winery_aux(kathrynkennedy) )).++fof(act1_formula385,axiom,(+ winery_aux(cotturi) )).++fof(act1_formula386,axiom,(+ winery_aux(chateaumargauxwinery) )).++fof(act1_formula387,axiom,(+ winery_aux(congresssprings) )).++fof(act1_formula388,axiom,(+ winery_aux(chateaudemeursault) )).++fof(act1_formula389,axiom,(+ winery_aux(chateauchevalblanc) )).++fof(act1_formula390,axiom,(+ winery_aux(mountadam) )).++fof(act1_formula391,axiom,(+ winery_aux(chateaumorgon) )).++fof(act1_formula392,axiom,(+ winery_aux(pagemillwinery) )).++fof(act1_formula393,axiom,(+ winery_aux(handley) )).++fof(act1_formula394,axiom,(+ winery_aux(pulignymontrachet) )).++fof(act1_formula395,axiom,(+ winery_aux(foxen) )).++fof(act1_formula396,axiom,(+ zinfandel_aux(elysezinfandel) )).++fof(act1_formula397,axiom,(+ zinfandel_aux(cotturizinfandel) )).++fof(act1_formula398,axiom,(+ zinfandel_aux(saucelitocanyonzinfandel1998) )).++fof(act1_formula399,axiom,(+ zinfandel_aux(mariettazinfandel) )).++fof(act1_formula400,axiom,(+ zinfandel_aux(saucelitocanyonzinfandel) )).++fof(act1_formula401,axiom,(+ winebody_aux(light) )).++fof(act1_formula402,axiom,(+ winebody_aux(full) )).++fof(act1_formula403,axiom,(+ winebody_aux(medium) )).++fof(act1_formula404,axiom,(+ winecolor_aux(white) )).++fof(act1_formula405,axiom,(+ winecolor_aux(rose) )).++fof(act1_formula406,axiom,(+ winecolor_aux(red) )).++fof(act1_formula407,axiom,(+ whiteburgundy_aux(pulignymontrachetwhiteburgundy) )).++fof(act1_formula408,axiom,(+ whiteburgundy_aux(cortonmontrachetwhiteburgundy) )).++fof(act1_formula409,axiom,(+ whitewine_aux(stgenevievetexaswhite) )).++fof(act1_formula410,axiom,(+ muscadet_aux(sevreetmainemuscadet) )).++fof(act1_formula411,axiom,(+ meursault_aux(chateaudemeursaultmeursault) )).++fof(act1_formula412,axiom,(+ meritage_aux(kathrynkennedylateral) )).++fof(act1_formula413,axiom,(+ margaux_aux(chateaumargaux) )).++fof(act1_formula414,axiom,(+ icewine_aux(selaksicewine) )).++fof(act1_formula415,axiom,(+ dryriesling_aux(mountadamriesling) )).++fof(act1_formula416,axiom,(+ dessertwine_aux(whitehalllaneprimavera) )).++fof(act1_formula417,axiom,(+ cabernetsauvignon_aux(mariettacabernetsauvignon) )).++fof(act1_formula418,axiom,(+ cabernetsauvignon_aux(pagemillwinerycabernetsauvignon) )).++fof(act1_formula419,axiom,(+ cabernetsauvignon_aux(santacruzmountainvineyardcabernetsauvignon) )).++fof(act1_formula420,axiom,(+ cabernetsauvignon_aux(formancabernetsauvignon) )).++fof(act1_formula421,axiom,(+ cabernetfranc_aux(whitehalllanecabernetfranc) )).++fof(act1_formula422,axiom,(+ beaujolais_aux(chateaumorgonbeaujolais) )).++fof(act1_formula423,axiom,(+ anjou_aux(rosedanjou) )).++fof(act1_formula424,axiom,(+ chardonnay_aux(formanchardonnay) )).++fof(act1_formula425,axiom,(+ chardonnay_aux(petermccoychardonnay) )).++fof(act1_formula426,axiom,(+ chardonnay_aux(bancroftchardonnay) )).++fof(act1_formula427,axiom,(+ chardonnay_aux(mountadamchardonnay) )).++fof(act1_formula428,axiom,(+ chardonnay_aux(mountedenvineyardednavalleychardonnay) )).++fof(act1_formula429,axiom,(+ cheninblanc_aux(foxencheninblanc) )).++fof(act1_formula430,axiom,(+ cheninblanc_aux(ventanacheninblanc) )).++fof(act1_formula431,axiom,(+ chianti_aux(chianticlassico) )).++fof(act1_formula432,axiom,(+ cotesdor_aux(closdevougeotcotesdor) )).++fof(act1_formula433,axiom,(+ merlot_aux(garyfarrellmerlot) )).++fof(act1_formula434,axiom,(+ merlot_aux(longridgemerlot) )).++fof(act1_formula435,axiom,(+ pauillac_aux(chateaulafiterothschildpauillac) )).++fof(act1_formula436,axiom,(+ petitesyrah_aux(mariettapetitesyrah) )).++fof(act1_formula437,axiom,(+ petitesyrah_aux(seanthackreysiriuspetitesyrah) )).++fof(act1_formula438,axiom,(+ pinotnoir_aux(mountadampinotnoir) )).++fof(act1_formula439,axiom,(+ pinotnoir_aux(lanetannerpinotnoir) )).++fof(act1_formula440,axiom,(+ pinotnoir_aux(mountedenvineyardestatepinotnoir) )).++fof(act1_formula441,axiom,(+ port_aux(taylorport) )).++fof(act1_formula442,axiom,(+ redtablewine_aux(mariettaoldvinesred) )).++fof(act1_formula443,axiom,(+ region_aux(californiaregion) )).++fof(act1_formula444,axiom,(+ region_aux(sancerreregion) )).++fof(act1_formula445,axiom,(+ region_aux(loireregion) )).++fof(act1_formula446,axiom,(+ region_aux(usregion) )).++fof(act1_formula447,axiom,(+ region_aux(naparegion) )).++fof(act1_formula448,axiom,(+ region_aux(newzealandregion) )).++fof(act1_formula449,axiom,(+ region_aux(chiantiregion) )).++fof(act1_formula450,axiom,(+ region_aux(sauterneregion) )).++fof(act1_formula451,axiom,(+ region_aux(germanyregion) )).++fof(act1_formula452,axiom,(+ region_aux(pauillacregion) )).++fof(act1_formula453,axiom,(+ region_aux(centraltexasregion) )).++fof(act1_formula454,axiom,(+ region_aux(bordeauxregion) )).++fof(act1_formula455,axiom,(+ region_aux(portugalregion) )).++fof(act1_formula456,axiom,(+ region_aux(anjouregion) )).++fof(act1_formula457,axiom,(+ region_aux(centralcoastregion) )).++fof(act1_formula458,axiom,(+ region_aux(sonomaregion) )).++fof(act1_formula459,axiom,(+ region_aux(santabarbararegion) )).++fof(act1_formula460,axiom,(+ region_aux(medocregion) )).++fof(act1_formula461,axiom,(+ region_aux(australianregion) )).++fof(act1_formula462,axiom,(+ region_aux(southaustraliaregion) )).++fof(act1_formula463,axiom,(+ region_aux(mendocinoregion) )).++fof(act1_formula464,axiom,(+ region_aux(santacruzmountainsregion) )).++fof(act1_formula465,axiom,(+ region_aux(italianregion) )).++fof(act1_formula466,axiom,(+ region_aux(margauxregion) )).++fof(act1_formula467,axiom,(+ region_aux(texasregion) )).++fof(act1_formula468,axiom,(+ region_aux(muscadetregion) )).++fof(act1_formula469,axiom,(+ region_aux(alsaceregion) )).++fof(act1_formula470,axiom,(+ region_aux(stemilionregion) )).++fof(act1_formula471,axiom,(+ region_aux(bourgogneregion) )).++fof(act1_formula472,axiom,(+ region_aux(toursregion) )).++fof(act1_formula473,axiom,(+ region_aux(frenchregion) )).++fof(act1_formula474,axiom,(+ region_aux(cotesdorregion) )).++fof(act1_formula475,axiom,(+ region_aux(beaujolaisregion) )).++fof(act1_formula476,axiom,(+ region_aux(meursaultregion) )).++fof(act1_formula477,axiom,(+ region_aux(ednavalleyregion) )).++fof(act1_formula478,axiom,(+ region_aux(arroyogranderegion) )).++fof(act1_formula479,axiom,(+ riesling_aux(corbansdrywhiteriesling) )).++fof(act1_formula480,axiom,(+ sancerre_aux(closdelapoussiesancerre) )).++fof(act1_formula481,axiom,(+ sauternes_aux(chateaudychemsauterne) )).++fof(act1_formula482,axiom,(+ sauvignonblanc_aux(corbansprivatebinsauvignonblanc) )).++fof(act1_formula483,axiom,(+ sauvignonblanc_aux(corbanssauvignonblanc) )).++fof(act1_formula484,axiom,(+ sauvignonblanc_aux(stonleighsauvignonblanc) )).++fof(act1_formula485,axiom,(+ sauvignonblanc_aux(selakssauvignonblanc) )).++fof(act1_formula486,axiom,(+ semillon_aux(congressspringssemillon) )).++fof(act1_formula487,axiom,(+ semillon_aux(kalincellarssemillon) )).++fof(act1_formula488,axiom,(+ stemilion_aux(chateauchevalblancstemilion) )).++fof(act1_formula489,axiom,(+ sweetriesling_aux(schlossrothermeltrochenbierenausleseriesling) )).++fof(act1_formula490,axiom,(+ sweetriesling_aux(schlossvolradtrochenbierenausleseriesling) )).++fof(act1_formula491,axiom,(+ kaon2namedobjects(chateaudemeursault) )).++fof(act1_formula492,axiom,(+ kaon2namedobjects(seanthackrey) )).++fof(act1_formula493,axiom,(+ kaon2namedobjects(formancabernetsauvignon) )).++fof(act1_formula494,axiom,(+ kaon2namedobjects(texasregion) )).++fof(act1_formula495,axiom,(+ kaon2namedobjects(sonomaregion) )).++fof(act1_formula496,axiom,(+ kaon2namedobjects(corbansdrywhiteriesling) )).++fof(act1_formula497,axiom,(+ kaon2namedobjects(cheninblancgrape) )).++fof(act1_formula498,axiom,(+ kaon2namedobjects(delicate) )).++fof(act1_formula499,axiom,(+ kaon2namedobjects(petermccoy) )).++fof(act1_formula500,axiom,(+ kaon2namedobjects(forman) )).++fof(act1_formula501,axiom,(+ kaon2namedobjects(taylorport) )).++fof(act1_formula502,axiom,(+ kaon2namedobjects(pagemillwinerycabernetsauvignon) )).++fof(act1_formula503,axiom,(+ kaon2namedobjects(chateauchevalblancstemilion) )).++fof(act1_formula504,axiom,(+ kaon2namedobjects(foxencheninblanc) )).++fof(act1_formula505,axiom,(+ kaon2namedobjects(santacruzmountainvineyardcabernetsauvignon) )).++fof(act1_formula506,axiom,(+ kaon2namedobjects(selaksicewine) )).++fof(act1_formula507,axiom,(+ kaon2namedobjects(chardonnaygrape) )).++fof(act1_formula508,axiom,(+ kaon2namedobjects(sauvignonblancgrape) )).++fof(act1_formula509,axiom,(+ kaon2namedobjects(cabernetsauvignongrape) )).++fof(act1_formula510,axiom,(+ kaon2namedobjects(mountadampinotnoir) )).++fof(act1_formula511,axiom,(+ kaon2namedobjects(pinotblancgrape) )).++fof(act1_formula512,axiom,(+ kaon2namedobjects(year1998) )).++fof(act1_formula513,axiom,(+ kaon2namedobjects(cotturizinfandel) )).++fof(act1_formula514,axiom,(+ kaon2namedobjects(whitehalllaneprimavera) )).++fof(act1_formula515,axiom,(+ kaon2namedobjects(longridge) )).++fof(act1_formula516,axiom,(+ kaon2namedobjects(bancroft) )).++fof(act1_formula517,axiom,(+ kaon2namedobjects(mountedenvineyardednavalleychardonnay) )).++fof(act1_formula518,axiom,(+ kaon2namedobjects(moderate) )).++fof(act1_formula519,axiom,(+ kaon2namedobjects(alsaceregion) )).++fof(act1_formula520,axiom,(+ kaon2namedobjects(saucelitocanyonzinfandel1998) )).++fof(act1_formula521,axiom,(+ kaon2namedobjects(corbanssauvignonblanc) )).++fof(act1_formula522,axiom,(+ kaon2namedobjects(full) )).++fof(act1_formula523,axiom,(+ kaon2namedobjects(taylor) )).++fof(act1_formula524,axiom,(+ kaon2namedobjects(malbecgrape) )).++fof(act1_formula525,axiom,(+ kaon2namedobjects(closdevougeot) )).++fof(act1_formula526,axiom,(+ kaon2namedobjects(corbans) )).++fof(act1_formula527,axiom,(+ kaon2namedobjects(stonleighsauvignonblanc) )).++fof(act1_formula528,axiom,(+ kaon2namedobjects(loireregion) )).++fof(act1_formula529,axiom,(+ kaon2namedobjects(corbansprivatebinsauvignonblanc) )).++fof(act1_formula530,axiom,(+ kaon2namedobjects(cortonmontrachet) )).++fof(act1_formula531,axiom,(+ kaon2namedobjects(chateaudychem) )).++fof(act1_formula532,axiom,(+ kaon2namedobjects(australianregion) )).++fof(act1_formula533,axiom,(+ kaon2namedobjects(beringer) )).++fof(act1_formula534,axiom,(+ kaon2namedobjects(formanchardonnay) )).++fof(act1_formula535,axiom,(+ kaon2namedobjects(chateaudemeursaultmeursault) )).++fof(act1_formula536,axiom,(+ kaon2namedobjects(merlotgrape) )).++fof(act1_formula537,axiom,(+ kaon2namedobjects(garyfarrellmerlot) )).++fof(act1_formula538,axiom,(+ kaon2namedobjects(santacruzmountainvineyard) )).++fof(act1_formula539,axiom,(+ kaon2namedobjects(portugalregion) )).++fof(act1_formula540,axiom,(+ kaon2namedobjects(margauxregion) )).++fof(act1_formula541,axiom,(+ kaon2namedobjects(frenchregion) )).++fof(act1_formula542,axiom,(+ kaon2namedobjects(strong) )).++fof(act1_formula543,axiom,(+ kaon2namedobjects(schlossvolradtrochenbierenausleseriesling) )).++fof(act1_formula544,axiom,(+ kaon2namedobjects(cabernetfrancgrape) )).++fof(act1_formula545,axiom,(+ kaon2namedobjects(medium) )).++fof(act1_formula546,axiom,(+ kaon2namedobjects(medocregion) )).++fof(act1_formula547,axiom,(+ kaon2namedobjects(sangiovesegrape) )).++fof(act1_formula548,axiom,(+ kaon2namedobjects(toursregion) )).++fof(act1_formula549,axiom,(+ kaon2namedobjects(chateaumargauxwinery) )).++fof(act1_formula550,axiom,(+ kaon2namedobjects(closdelapoussiesancerre) )).++fof(act1_formula551,axiom,(+ kaon2namedobjects(ednavalleyregion) )).++fof(act1_formula552,axiom,(+ kaon2namedobjects(schlossvolrad) )).++fof(act1_formula553,axiom,(+ kaon2namedobjects(marietta) )).++fof(act1_formula554,axiom,(+ kaon2namedobjects(sweet) )).++fof(act1_formula555,axiom,(+ kaon2namedobjects(arroyogranderegion) )).++fof(act1_formula556,axiom,(+ kaon2namedobjects(elyse) )).++fof(act1_formula557,axiom,(+ kaon2namedobjects(whitehalllanecabernetfranc) )).++fof(act1_formula558,axiom,(+ kaon2namedobjects(anjouregion) )).++fof(act1_formula559,axiom,(+ kaon2namedobjects(beaujolaisregion) )).++fof(act1_formula560,axiom,(+ kaon2namedobjects(petermccoychardonnay) )).++fof(act1_formula561,axiom,(+ kaon2namedobjects(pagemillwinery) )).++fof(act1_formula562,axiom,(+ kaon2namedobjects(stgenevievetexaswhite) )).++fof(act1_formula563,axiom,(+ kaon2namedobjects(congresssprings) )).++fof(act1_formula564,axiom,(+ kaon2namedobjects(germanyregion) )).++fof(act1_formula565,axiom,(+ kaon2namedobjects(muscadetregion) )).++fof(act1_formula566,axiom,(+ kaon2namedobjects(garyfarrell) )).++fof(act1_formula567,axiom,(+ kaon2namedobjects(light) )).++fof(act1_formula568,axiom,(+ kaon2namedobjects(rieslinggrape) )).++fof(act1_formula569,axiom,(+ kaon2namedobjects(pauillacregion) )).++fof(act1_formula570,axiom,(+ kaon2namedobjects(santabarbararegion) )).++fof(act1_formula571,axiom,(+ kaon2namedobjects(lanetanner) )).++fof(act1_formula572,axiom,(+ kaon2namedobjects(mcguinnesso) )).++fof(act1_formula573,axiom,(+ kaon2namedobjects(mendocinoregion) )).++fof(act1_formula574,axiom,(+ kaon2namedobjects(chateaumorgonbeaujolais) )).++fof(act1_formula575,axiom,(+ kaon2namedobjects(santacruzmountainsregion) )).++fof(act1_formula576,axiom,(+ kaon2namedobjects(californiaregion) )).++fof(act1_formula577,axiom,(+ kaon2namedobjects(sancerreregion) )).++fof(act1_formula578,axiom,(+ kaon2namedobjects(selakssauvignonblanc) )).++fof(act1_formula579,axiom,(+ kaon2namedobjects(chateaulafiterothschildpauillac) )).++fof(act1_formula580,axiom,(+ kaon2namedobjects(cortonmontrachetwhiteburgundy) )).++fof(act1_formula581,axiom,(+ kaon2namedobjects(lanetannerpinotnoir) )).++fof(act1_formula582,axiom,(+ kaon2namedobjects(ventana) )).++fof(act1_formula583,axiom,(+ kaon2namedobjects(cotturi) )).++fof(act1_formula584,axiom,(+ kaon2namedobjects(mariettaoldvinesred) )).++fof(act1_formula585,axiom,(+ kaon2namedobjects(rosedanjou) )).++fof(act1_formula586,axiom,(+ kaon2namedobjects(chateaulafiterothschild) )).++fof(act1_formula587,axiom,(+ kaon2namedobjects(chateaumorgon) )).++fof(act1_formula588,axiom,(+ kaon2namedobjects(saucelitocanyon) )).++fof(act1_formula589,axiom,(+ kaon2namedobjects(ventanacheninblanc) )).++fof(act1_formula590,axiom,(+ kaon2namedobjects(chateauchevalblanc) )).++fof(act1_formula591,axiom,(+ kaon2namedobjects(mountadamriesling) )).++fof(act1_formula592,axiom,(+ kaon2namedobjects(mariettacabernetsauvignon) )).++fof(act1_formula593,axiom,(+ kaon2namedobjects(sevreetmaine) )).++fof(act1_formula594,axiom,(+ kaon2namedobjects(saucelitocanyonzinfandel) )).++fof(act1_formula595,axiom,(+ kaon2namedobjects(seanthackreysiriuspetitesyrah) )).++fof(act1_formula596,axiom,(+ kaon2namedobjects(stonleigh) )).++fof(act1_formula597,axiom,(+ kaon2namedobjects(schlossrothermeltrochenbierenausleseriesling) )).++fof(act1_formula598,axiom,(+ kaon2namedobjects(mariettazinfandel) )).++fof(act1_formula599,axiom,(+ kaon2namedobjects(kathrynkennedylateral) )).++fof(act1_formula600,axiom,(+ kaon2namedobjects(mountadamchardonnay) )).++fof(act1_formula601,axiom,(+ kaon2namedobjects(foxen) )).++fof(act1_formula602,axiom,(+ kaon2namedobjects(stgenevieve) )).++fof(act1_formula603,axiom,(+ kaon2namedobjects(offdry) )).++fof(act1_formula604,axiom,(+ kaon2namedobjects(whitehalllane) )).++fof(act1_formula605,axiom,(+ kaon2namedobjects(chianticlassico) )).++fof(act1_formula606,axiom,(+ kaon2namedobjects(pulignymontrachet) )).++fof(act1_formula607,axiom,(+ kaon2namedobjects(meursaultregion) )).++fof(act1_formula608,axiom,(+ kaon2namedobjects(mountedenvineyardestatepinotnoir) )).++fof(act1_formula609,axiom,(+ kaon2namedobjects(kalincellars) )).++fof(act1_formula610,axiom,(+ kaon2namedobjects(petiteverdotgrape) )).++fof(act1_formula611,axiom,(+ kaon2namedobjects(chateaumargaux) )).++fof(act1_formula612,axiom,(+ kaon2namedobjects(kathrynkennedy) )).++fof(act1_formula613,axiom,(+ kaon2namedobjects(sauterneregion) )).++fof(act1_formula614,axiom,(+ kaon2namedobjects(bordeauxregion) )).++fof(act1_formula615,axiom,(+ kaon2namedobjects(white) )).++fof(act1_formula616,axiom,(+ kaon2namedobjects(mariettapetitesyrah) )).++fof(act1_formula617,axiom,(+ kaon2namedobjects(handley) )).++fof(act1_formula618,axiom,(+ kaon2namedobjects(naparegion) )).++fof(act1_formula619,axiom,(+ kaon2namedobjects(chiantiregion) )).++fof(act1_formula620,axiom,(+ kaon2namedobjects(chateaudychemsauterne) )).++fof(act1_formula621,axiom,(+ kaon2namedobjects(elysezinfandel) )).++fof(act1_formula622,axiom,(+ kaon2namedobjects(pulignymontrachetwhiteburgundy) )).++fof(act1_formula623,axiom,(+ kaon2namedobjects(kalincellarssemillon) )).++fof(act1_formula624,axiom,(+ kaon2namedobjects(closdevougeotcotesdor) )).++fof(act1_formula625,axiom,(+ kaon2namedobjects(schlossrothermel) )).++fof(act1_formula626,axiom,(+ kaon2namedobjects(bancroftchardonnay) )).++fof(act1_formula627,axiom,(+ kaon2namedobjects(southaustraliaregion) )).++fof(act1_formula628,axiom,(+ kaon2namedobjects(semillongrape) )).++fof(act1_formula629,axiom,(+ kaon2namedobjects(danjou) )).++fof(act1_formula630,axiom,(+ kaon2namedobjects(gamaygrape) )).++fof(act1_formula631,axiom,(+ kaon2namedobjects(zinfandelgrape) )).++fof(act1_formula632,axiom,(+ kaon2namedobjects(longridgemerlot) )).++fof(act1_formula633,axiom,(+ kaon2namedobjects(mountedenvineyard) )).++fof(act1_formula634,axiom,(+ kaon2namedobjects(bourgogneregion) )).++fof(act1_formula635,axiom,(+ kaon2namedobjects(usregion) )).++fof(act1_formula636,axiom,(+ kaon2namedobjects(centraltexasregion) )).++fof(act1_formula637,axiom,(+ kaon2namedobjects(congressspringssemillon) )).++fof(act1_formula638,axiom,(+ kaon2namedobjects(selaks) )).++fof(act1_formula639,axiom,(+ kaon2namedobjects(dry) )).++fof(act1_formula640,axiom,(+ kaon2namedobjects(newzealandregion) )).++fof(act1_formula641,axiom,(+ kaon2namedobjects(red) )).++fof(act1_formula642,axiom,(+ kaon2namedobjects(closdelapoussie) )).++fof(act1_formula643,axiom,(+ kaon2namedobjects(cotesdorregion) )).++fof(act1_formula644,axiom,(+ kaon2namedobjects(rose) )).++fof(act1_formula645,axiom,(+ kaon2namedobjects(mountadam) )).++fof(act1_formula646,axiom,(+ kaon2namedobjects(sevreetmainemuscadet) )).++fof(act1_formula647,axiom,(+ kaon2namedobjects(pinotnoirgrape) )).++fof(act1_formula648,axiom,(+ kaon2namedobjects(stemilionregion) )).++fof(act1_formula649,axiom,(+ kaon2namedobjects(italianregion) )).++fof(act1_formula650,axiom,(+ kaon2namedobjects(centralcoastregion) )).++fof(act1_formula651,axiom,(+ kaon2namedobjects(petitesyrahgrape) )).++fof(act1_formula652,axiom,(+ vintageyear_aux(year1998) )).++fof(act1_formula653,axiom,(+ hasvintageyear_aux(saucelitocanyonzinfandel1998,year1998) )).++% wine ontology. based on: http://projects.semwebcentral.org/scm/viewvc.php/openrulebench/recursion/xsb/wine.P?root=rulebench&view=markup+fof(act2_formula1,axiom,(+ ! [X,Y] :+ ( madefromgrape_aux(X,Y)+ => madefromgrape(X,Y) ) )).++fof(act2_formula2,axiom,(+ ! [X,Y] :+ ( locatedin_aux(X,Y)+ => locatedin(X,Y) ) )).++fof(act2_formula3,axiom,(+ ! [X,Y] :+ ( hassugar_aux(X,Y)+ => hassugar(X,Y) ) )).++fof(act2_formula4,axiom,(+ ! [X,Y] :+ ( hasmaker_aux(X,Y)+ => hasmaker(X,Y) ) )).++fof(act2_formula5,axiom,(+ ! [X,Y] :+ ( hasflavor_aux(X,Y)+ => hasflavor(X,Y) ) )).++fof(act2_formula6,axiom,(+ ! [X,Y] :+ ( hascolor_aux(X,Y)+ => hascolor(X,Y) ) )).++fof(act2_formula7,axiom,(+ ! [X,Y] :+ ( hasbody_aux(X,Y)+ => hasbody(X,Y) ) )).++fof(act2_formula8,axiom,(+ ! [Y,X] :+ ( adjacentregion_aux(Y,X)+ => adjacentregion(Y,X) ) )).++fof(act2_formula9,axiom,(+ ! [Y,X] :+ ( hasvintageyear_aux(Y,X)+ => hasvintageyear(Y,X) ) )).++fof(act2_formula10,axiom,(+ ! [X] :+ ( ot____nom1_aux(X)+ => ot____nom1(X) ) )).++fof(act2_formula11,axiom,(+ ! [X] :+ ( ot____nom10_aux(X)+ => ot____nom10(X) ) )).++fof(act2_formula12,axiom,(+ ! [X] :+ ( ot____nom11_aux(X)+ => ot____nom11(X) ) )).++fof(act2_formula13,axiom,(+ ! [X] :+ ( ot____nom12_aux(X)+ => ot____nom12(X) ) )).++fof(act2_formula14,axiom,(+ ! [X] :+ ( ot____nom13_aux(X)+ => ot____nom13(X) ) )).++fof(act2_formula15,axiom,(+ ! [X] :+ ( ot____nom14_aux(X)+ => ot____nom14(X) ) )).++fof(act2_formula16,axiom,(+ ! [X] :+ ( ot____nom15_aux(X)+ => ot____nom15(X) ) )).++fof(act2_formula17,axiom,(+ ! [X] :+ ( ot____nom16_aux(X)+ => ot____nom16(X) ) )).++fof(act2_formula18,axiom,(+ ! [X] :+ ( ot____nom17_aux(X)+ => ot____nom17(X) ) )).++fof(act2_formula19,axiom,(+ ! [X] :+ ( ot____nom18_aux(X)+ => ot____nom18(X) ) )).++fof(act2_formula20,axiom,(+ ! [X] :+ ( ot____nom19_aux(X)+ => ot____nom19(X) ) )).++fof(act2_formula21,axiom,(+ ! [X] :+ ( ot____nom2_aux(X)+ => ot____nom2(X) ) )).++fof(act2_formula22,axiom,(+ ! [X] :+ ( ot____nom20_aux(X)+ => ot____nom20(X) ) )).++fof(act2_formula23,axiom,(+ ! [X] :+ ( ot____nom21_aux(X)+ => ot____nom21(X) ) )).++fof(act2_formula24,axiom,(+ ! [X] :+ ( ot____nom22_aux(X)+ => ot____nom22(X) ) )).++fof(act2_formula25,axiom,(+ ! [X] :+ ( ot____nom23_aux(X)+ => ot____nom23(X) ) )).++fof(act2_formula26,axiom,(+ ! [X] :+ ( ot____nom24_aux(X)+ => ot____nom24(X) ) )).++fof(act2_formula27,axiom,(+ ! [X] :+ ( ot____nom25_aux(X)+ => ot____nom25(X) ) )).++fof(act2_formula28,axiom,(+ ! [X] :+ ( ot____nom26_aux(X)+ => ot____nom26(X) ) )).++fof(act2_formula29,axiom,(+ ! [X] :+ ( ot____nom27_aux(X)+ => ot____nom27(X) ) )).++fof(act2_formula30,axiom,(+ ! [X] :+ ( ot____nom28_aux(X)+ => ot____nom28(X) ) )).++fof(act2_formula31,axiom,(+ ! [X] :+ ( ot____nom29_aux(X)+ => ot____nom29(X) ) )).++fof(act2_formula32,axiom,(+ ! [X] :+ ( ot____nom3_aux(X)+ => ot____nom3(X) ) )).++fof(act2_formula33,axiom,(+ ! [X] :+ ( ot____nom30_aux(X)+ => ot____nom30(X) ) )).++fof(act2_formula34,axiom,(+ ! [X] :+ ( ot____nom31_aux(X)+ => ot____nom31(X) ) )).++fof(act2_formula35,axiom,(+ ! [X] :+ ( ot____nom32_aux(X)+ => ot____nom32(X) ) )).++fof(act2_formula36,axiom,(+ ! [X] :+ ( ot____nom33_aux(X)+ => ot____nom33(X) ) )).++fof(act2_formula37,axiom,(+ ! [X] :+ ( ot____nom34_aux(X)+ => ot____nom34(X) ) )).++fof(act2_formula38,axiom,(+ ! [X] :+ ( ot____nom35_aux(X)+ => ot____nom35(X) ) )).++fof(act2_formula39,axiom,(+ ! [X] :+ ( ot____nom36_aux(X)+ => ot____nom36(X) ) )).++fof(act2_formula40,axiom,(+ ! [X] :+ ( ot____nom37_aux(X)+ => ot____nom37(X) ) )).++fof(act2_formula41,axiom,(+ ! [X] :+ ( ot____nom38_aux(X)+ => ot____nom38(X) ) )).++fof(act2_formula42,axiom,(+ ! [X] :+ ( ot____nom39_aux(X)+ => ot____nom39(X) ) )).++fof(act2_formula43,axiom,(+ ! [X] :+ ( ot____nom4_aux(X)+ => ot____nom4(X) ) )).++fof(act2_formula44,axiom,(+ ! [X] :+ ( ot____nom40_aux(X)+ => ot____nom40(X) ) )).++fof(act2_formula45,axiom,(+ ! [X] :+ ( ot____nom41_aux(X)+ => ot____nom41(X) ) )).++fof(act2_formula46,axiom,(+ ! [X] :+ ( ot____nom42_aux(X)+ => ot____nom42(X) ) )).++fof(act2_formula47,axiom,(+ ! [X] :+ ( ot____nom43_aux(X)+ => ot____nom43(X) ) )).++fof(act2_formula48,axiom,(+ ! [X] :+ ( ot____nom44_aux(X)+ => ot____nom44(X) ) )).++fof(act2_formula49,axiom,(+ ! [X] :+ ( ot____nom45_aux(X)+ => ot____nom45(X) ) )).++fof(act2_formula50,axiom,(+ ! [X] :+ ( ot____nom46_aux(X)+ => ot____nom46(X) ) )).++fof(act2_formula51,axiom,(+ ! [X] :+ ( ot____nom47_aux(X)+ => ot____nom47(X) ) )).++fof(act2_formula52,axiom,(+ ! [X] :+ ( ot____nom48_aux(X)+ => ot____nom48(X) ) )).++fof(act2_formula53,axiom,(+ ! [X] :+ ( ot____nom49_aux(X)+ => ot____nom49(X) ) )).++fof(act2_formula54,axiom,(+ ! [X] :+ ( ot____nom5_aux(X)+ => ot____nom5(X) ) )).++fof(act2_formula55,axiom,(+ ! [X] :+ ( ot____nom50_aux(X)+ => ot____nom50(X) ) )).++fof(act2_formula56,axiom,(+ ! [X] :+ ( ot____nom51_aux(X)+ => ot____nom51(X) ) )).++fof(act2_formula57,axiom,(+ ! [X] :+ ( ot____nom52_aux(X)+ => ot____nom52(X) ) )).++fof(act2_formula58,axiom,(+ ! [X] :+ ( ot____nom53_aux(X)+ => ot____nom53(X) ) )).++fof(act2_formula59,axiom,(+ ! [X] :+ ( ot____nom54_aux(X)+ => ot____nom54(X) ) )).++fof(act2_formula60,axiom,(+ ! [X] :+ ( ot____nom55_aux(X)+ => ot____nom55(X) ) )).++fof(act2_formula61,axiom,(+ ! [X] :+ ( ot____nom56_aux(X)+ => ot____nom56(X) ) )).++fof(act2_formula62,axiom,(+ ! [X] :+ ( ot____nom57_aux(X)+ => ot____nom57(X) ) )).++fof(act2_formula63,axiom,(+ ! [X] :+ ( ot____nom58_aux(X)+ => ot____nom58(X) ) )).++fof(act2_formula64,axiom,(+ ! [X] :+ ( ot____nom59_aux(X)+ => ot____nom59(X) ) )).++fof(act2_formula65,axiom,(+ ! [X] :+ ( ot____nom6_aux(X)+ => ot____nom6(X) ) )).++fof(act2_formula66,axiom,(+ ! [X] :+ ( ot____nom60_aux(X)+ => ot____nom60(X) ) )).++fof(act2_formula67,axiom,(+ ! [X] :+ ( ot____nom61_aux(X)+ => ot____nom61(X) ) )).++fof(act2_formula68,axiom,(+ ! [X] :+ ( ot____nom62_aux(X)+ => ot____nom62(X) ) )).++fof(act2_formula69,axiom,(+ ! [X] :+ ( ot____nom63_aux(X)+ => ot____nom63(X) ) )).++fof(act2_formula70,axiom,(+ ! [X] :+ ( ot____nom64_aux(X)+ => ot____nom64(X) ) )).++fof(act2_formula71,axiom,(+ ! [X] :+ ( ot____nom7_aux(X)+ => ot____nom7(X) ) )).++fof(act2_formula72,axiom,(+ ! [X] :+ ( ot____nom8_aux(X)+ => ot____nom8(X) ) )).++fof(act2_formula73,axiom,(+ ! [X] :+ ( ot____nom9_aux(X)+ => ot____nom9(X) ) )).++fof(act2_formula74,axiom,(+ ! [X] :+ ( zinfandel_aux(X)+ => zinfandel(X) ) )).++fof(act2_formula75,axiom,(+ ! [X] :+ ( winery_aux(X)+ => winery(X) ) )).++fof(act2_formula76,axiom,(+ ! [X] :+ ( winegrape_aux(X)+ => winegrape(X) ) )).++fof(act2_formula77,axiom,(+ ! [X] :+ ( winesugar_aux(X)+ => winesugar(X) ) )).++fof(act2_formula78,axiom,(+ ! [X] :+ ( wineflavor_aux(X)+ => wineflavor(X) ) )).++fof(act2_formula79,axiom,(+ ! [X] :+ ( anjou_aux(X)+ => anjou(X) ) )).++fof(act2_formula80,axiom,(+ ! [X] :+ ( beaujolais_aux(X)+ => beaujolais(X) ) )).++fof(act2_formula81,axiom,(+ ! [X] :+ ( cabernetfranc_aux(X)+ => cabernetfranc(X) ) )).++fof(act2_formula82,axiom,(+ ! [X] :+ ( cabernetsauvignon_aux(X)+ => cabernetsauvignon(X) ) )).++fof(act2_formula83,axiom,(+ ! [X] :+ ( chardonnay_aux(X)+ => chardonnay(X) ) )).++fof(act2_formula84,axiom,(+ ! [X] :+ ( cheninblanc_aux(X)+ => cheninblanc(X) ) )).++fof(act2_formula85,axiom,(+ ! [X] :+ ( chianti_aux(X)+ => chianti(X) ) )).++fof(act2_formula86,axiom,(+ ! [X] :+ ( cotesdor_aux(X)+ => cotesdor(X) ) )).++fof(act2_formula87,axiom,(+ ! [X] :+ ( dessertwine_aux(X)+ => dessertwine(X) ) )).++fof(act2_formula88,axiom,(+ ! [X] :+ ( dryriesling_aux(X)+ => dryriesling(X) ) )).++fof(act2_formula89,axiom,(+ ! [X] :+ ( icewine_aux(X)+ => icewine(X) ) )).++fof(act2_formula90,axiom,(+ ! [X] :+ ( margaux_aux(X)+ => margaux(X) ) )).++fof(act2_formula91,axiom,(+ ! [X] :+ ( meritage_aux(X)+ => meritage(X) ) )).++fof(act2_formula92,axiom,(+ ! [X] :+ ( merlot_aux(X)+ => merlot(X) ) )).++fof(act2_formula93,axiom,(+ ! [X] :+ ( meursault_aux(X)+ => meursault(X) ) )).++fof(act2_formula94,axiom,(+ ! [X] :+ ( muscadet_aux(X)+ => muscadet(X) ) )).++fof(act2_formula95,axiom,(+ ! [X] :+ ( pauillac_aux(X)+ => pauillac(X) ) )).++fof(act2_formula96,axiom,(+ ! [X] :+ ( petitesyrah_aux(X)+ => petitesyrah(X) ) )).++fof(act2_formula97,axiom,(+ ! [X] :+ ( pinotnoir_aux(X)+ => pinotnoir(X) ) )).++fof(act2_formula98,axiom,(+ ! [X] :+ ( port_aux(X)+ => port(X) ) )).++fof(act2_formula99,axiom,(+ ! [X] :+ ( redtablewine_aux(X)+ => redtablewine(X) ) )).++fof(act2_formula100,axiom,(+ ! [X] :+ ( region_aux(X)+ => region(X) ) )).++fof(act2_formula101,axiom,(+ ! [X] :+ ( riesling_aux(X)+ => riesling(X) ) )).++fof(act2_formula102,axiom,(+ ! [X] :+ ( sancerre_aux(X)+ => sancerre(X) ) )).++fof(act2_formula103,axiom,(+ ! [X] :+ ( sauternes_aux(X)+ => sauternes(X) ) )).++fof(act2_formula104,axiom,(+ ! [X] :+ ( sauvignonblanc_aux(X)+ => sauvignonblanc(X) ) )).++fof(act2_formula105,axiom,(+ ! [X] :+ ( semillon_aux(X)+ => semillon(X) ) )).++fof(act2_formula106,axiom,(+ ! [X] :+ ( stemilion_aux(X)+ => stemilion(X) ) )).++fof(act2_formula107,axiom,(+ ! [X] :+ ( sweetriesling_aux(X)+ => sweetriesling(X) ) )).++fof(act2_formula108,axiom,(+ ! [X] :+ ( vintageyear_aux(X)+ => vintageyear(X) ) )).++fof(act2_formula109,axiom,(+ ! [X] :+ ( whiteburgundy_aux(X)+ => whiteburgundy(X) ) )).++fof(act2_formula110,axiom,(+ ! [X] :+ ( whitewine_aux(X)+ => whitewine(X) ) )).++fof(act2_formula111,axiom,(+ ! [X] :+ ( winebody_aux(X)+ => winebody(X) ) )).++fof(act2_formula112,axiom,(+ ! [X] :+ ( winecolor_aux(X)+ => winecolor(X) ) )).++fof(act2_formula113,axiom,(+ ! [X] :+ ( meritage(X)+ => q0(X) ) )).++fof(act2_formula114,axiom,(+ ! [X] :+ ( merlot(X)+ => q0(X) ) )).++fof(act2_formula115,axiom,(+ ! [X] :+ ( pinotnoir(X)+ => q0(X) ) )).++fof(act2_formula116,axiom,(+ ! [X] :+ ( beaujolais(X)+ => q0(X) ) )).++fof(act2_formula117,axiom,(+ ! [X] :+ ( cabernetfranc(X)+ => q0(X) ) )).++fof(act2_formula118,axiom,(+ ! [X] :+ ( zinfandel(X)+ => q0(X) ) )).++fof(act2_formula119,axiom,(+ ! [X] :+ ( medoc(X)+ => q0(X) ) )).++fof(act2_formula120,axiom,(+ ! [X] :+ ( cabernetsauvignon(X)+ => q0(X) ) )).++fof(act2_formula121,axiom,(+ ! [X] :+ ( redtablewine(X)+ => q0(X) ) )).++fof(act2_formula122,axiom,(+ ! [X] :+ ( petitesyrah(X)+ => q0(X) ) )).++fof(act2_formula123,axiom,(+ ! [X] :+ ( redwine(X)+ => q0(X) ) )).++fof(act2_formula124,axiom,(+ ! [X] :+ ( chianti(X)+ => q0(X) ) )).++fof(act2_formula125,axiom,(+ ! [X] :+ ( stemilion(X)+ => q0(X) ) )).++fof(act2_formula126,axiom,(+ ! [Y,X] :+ ( ( q0(Y)+ & kaon2equal(X,Y) )+ => q0(X) ) )).++fof(act2_formula127,axiom,(+ ! [X] :+ ( bordeaux(X)+ => q1(X) ) )).++fof(act2_formula128,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q2(Y) )+ => q1(X) ) )).++fof(act2_formula129,axiom,(+ ! [Y,X] :+ ( ( q1(Y)+ & kaon2equal(X,Y) )+ => q1(X) ) )).++fof(act2_formula130,axiom,(+ ! [X] :+ ( q9(X)+ => q10(X) ) )).++fof(act2_formula131,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom4(Y) )+ => q10(X) ) )).++fof(act2_formula132,axiom,(+ ! [Y,X] :+ ( ( q10(Y)+ & kaon2equal(X,Y) )+ => q10(X) ) )).++fof(act2_formula133,axiom,(+ ! [X] :+ ( pauillac(X)+ => q11(X) ) )).++fof(act2_formula134,axiom,(+ ! [X] :+ ( port(X)+ => q11(X) ) )).++fof(act2_formula135,axiom,(+ ! [X] :+ ( stemilion(X)+ => q11(X) ) )).++fof(act2_formula136,axiom,(+ ! [Y,X] :+ ( ( q11(Y)+ & kaon2equal(X,Y) )+ => q11(X) ) )).++fof(act2_formula137,axiom,(+ ! [X] :+ ( icewine(X)+ => q12(X) ) )).++fof(act2_formula138,axiom,(+ ! [X] :+ ( whitetablewine(X)+ => q12(X) ) )).++fof(act2_formula139,axiom,(+ ! [X] :+ ( cheninblanc(X)+ => q12(X) ) )).++fof(act2_formula140,axiom,(+ ! [X] :+ ( chardonnay(X)+ => q12(X) ) )).++fof(act2_formula141,axiom,(+ ! [X] :+ ( pinotblanc(X)+ => q12(X) ) )).++fof(act2_formula142,axiom,(+ ! [X] :+ ( whitewine(X)+ => q12(X) ) )).++fof(act2_formula143,axiom,(+ ! [X] :+ ( dryriesling(X)+ => q12(X) ) )).++fof(act2_formula144,axiom,(+ ! [X] :+ ( sauternes(X)+ => q12(X) ) )).++fof(act2_formula145,axiom,(+ ! [X] :+ ( semillonorsauvignonblanc(X)+ => q12(X) ) )).++fof(act2_formula146,axiom,(+ ! [X] :+ ( riesling(X)+ => q12(X) ) )).++fof(act2_formula147,axiom,(+ ! [Y,X] :+ ( ( q12(Y)+ & kaon2equal(X,Y) )+ => q12(X) ) )).++fof(act2_formula148,axiom,(+ ! [X] :+ ( margaux(X)+ => q13(X) ) )).++fof(act2_formula149,axiom,(+ ! [X] :+ ( merlot(X)+ => q13(X) ) )).++fof(act2_formula150,axiom,(+ ! [Y,X] :+ ( ( q13(Y)+ & kaon2equal(X,Y) )+ => q13(X) ) )).++fof(act2_formula151,axiom,(+ ! [X] :+ ( gamay(X)+ => q14(X) ) )).++fof(act2_formula152,axiom,(+ ! [X] :+ ( beaujolais(X)+ => q14(X) ) )).++fof(act2_formula153,axiom,(+ ! [Y,X] :+ ( ( q14(Y)+ & kaon2equal(X,Y) )+ => q14(X) ) )).++fof(act2_formula154,axiom,(+ ! [X] :+ ( anjou(X)+ => q15(X) ) )).++fof(act2_formula155,axiom,(+ ! [X] :+ ( rosewine(X)+ => q15(X) ) )).++fof(act2_formula156,axiom,(+ ! [Y,X] :+ ( ( q15(Y)+ & kaon2equal(X,Y) )+ => q15(X) ) )).++fof(act2_formula157,axiom,(+ ! [X] :+ ( meursault(X)+ => q16(X) ) )).++fof(act2_formula158,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q17(Y) )+ => q16(X) ) )).++fof(act2_formula159,axiom,(+ ! [Y,X] :+ ( ( q16(Y)+ & kaon2equal(X,Y) )+ => q16(X) ) )).++fof(act2_formula160,axiom,(+ ! [X] :+ ( q16(X)+ => q17(X) ) )).++fof(act2_formula161,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom31(Y) )+ => q17(X) ) )).++fof(act2_formula162,axiom,(+ ! [Y,X] :+ ( ( q17(Y)+ & kaon2equal(X,Y) )+ => q17(X) ) )).++fof(act2_formula163,axiom,(+ ! [X] :+ ( margaux(X)+ => q18(X) ) )).++fof(act2_formula164,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q19(Y) )+ => q18(X) ) )).++fof(act2_formula165,axiom,(+ ! [Y,X] :+ ( ( q18(Y)+ & kaon2equal(X,Y) )+ => q18(X) ) )).++fof(act2_formula166,axiom,(+ ! [X] :+ ( q18(X)+ => q19(X) ) )).++fof(act2_formula167,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom22(Y) )+ => q19(X) ) )).++fof(act2_formula168,axiom,(+ ! [Y,X] :+ ( ( q19(Y)+ & kaon2equal(X,Y) )+ => q19(X) ) )).++fof(act2_formula169,axiom,(+ ! [X] :+ ( q1(X)+ => q2(X) ) )).++fof(act2_formula170,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom23(Y) )+ => q2(X) ) )).++fof(act2_formula171,axiom,(+ ! [Y,X] :+ ( ( q2(Y)+ & kaon2equal(X,Y) )+ => q2(X) ) )).++fof(act2_formula172,axiom,(+ ! [X] :+ ( sancerre(X)+ => q20(X) ) )).++fof(act2_formula173,axiom,(+ ! [X] :+ ( muscadet(X)+ => q20(X) ) )).++fof(act2_formula174,axiom,(+ ! [X] :+ ( beaujolais(X)+ => q20(X) ) )).++fof(act2_formula175,axiom,(+ ! [X] :+ ( dryriesling(X)+ => q20(X) ) )).++fof(act2_formula176,axiom,(+ ! [X] :+ ( anjou(X)+ => q20(X) ) )).++fof(act2_formula177,axiom,(+ ! [X] :+ ( margaux(X)+ => q20(X) ) )).++fof(act2_formula178,axiom,(+ ! [Y,X] :+ ( ( q20(Y)+ & kaon2equal(X,Y) )+ => q20(X) ) )).++fof(act2_formula179,axiom,(+ ! [X] :+ ( q12(X)+ => q21(X) ) )).++fof(act2_formula180,axiom,(+ ! [X,Y] :+ ( ( hascolor(X,Y)+ & ot____nom5(Y) )+ => q21(X) ) )).++fof(act2_formula181,axiom,(+ ! [Y,X] :+ ( ( q21(Y)+ & kaon2equal(X,Y) )+ => q21(X) ) )).++fof(act2_formula182,axiom,(+ ! [X] :+ ( beaujolais(X)+ => q22(X) ) )).++fof(act2_formula183,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q23(Y) )+ => q22(X) ) )).++fof(act2_formula184,axiom,(+ ! [Y,X] :+ ( ( q22(Y)+ & kaon2equal(X,Y) )+ => q22(X) ) )).++fof(act2_formula185,axiom,(+ ! [X] :+ ( q22(X)+ => q23(X) ) )).++fof(act2_formula186,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom26(Y) )+ => q23(X) ) )).++fof(act2_formula187,axiom,(+ ! [Y,X] :+ ( ( q23(Y)+ & kaon2equal(X,Y) )+ => q23(X) ) )).++fof(act2_formula188,axiom,(+ ! [X] :+ ( pinotblanc(X)+ => q24(X) ) )).++fof(act2_formula189,axiom,(+ ! [X] :+ ( muscadet(X)+ => q24(X) ) )).++fof(act2_formula190,axiom,(+ ! [Y,X] :+ ( ( q24(Y)+ & kaon2equal(X,Y) )+ => q24(X) ) )).++fof(act2_formula191,axiom,(+ ! [X] :+ ( americanwine(X)+ => q26(X) ) )).++fof(act2_formula192,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q27(Y) )+ => q26(X) ) )).++fof(act2_formula193,axiom,(+ ! [Y,X] :+ ( ( q26(Y)+ & kaon2equal(X,Y) )+ => q26(X) ) )).++fof(act2_formula194,axiom,(+ ! [X] :+ ( q26(X)+ => q27(X) ) )).++fof(act2_formula195,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom38(Y) )+ => q27(X) ) )).++fof(act2_formula196,axiom,(+ ! [Y,X] :+ ( ( q27(Y)+ & kaon2equal(X,Y) )+ => q27(X) ) )).++fof(act2_formula197,axiom,(+ ! [X] :+ ( burgundy(X)+ => q29(X) ) )).++fof(act2_formula198,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q30(Y) )+ => q29(X) ) )).++fof(act2_formula199,axiom,(+ ! [Y,X] :+ ( ( q29(Y)+ & kaon2equal(X,Y) )+ => q29(X) ) )).++fof(act2_formula200,axiom,(+ ! [X] :+ ( margaux(X)+ => q3(X) ) )).++fof(act2_formula201,axiom,(+ ! [X] :+ ( pauillac(X)+ => q3(X) ) )).++fof(act2_formula202,axiom,(+ ! [X] :+ ( zinfandel(X)+ => q3(X) ) )).++fof(act2_formula203,axiom,(+ ! [X] :+ ( chardonnay(X)+ => q3(X) ) )).++fof(act2_formula204,axiom,(+ ! [X] :+ ( tours(X)+ => q3(X) ) )).++fof(act2_formula205,axiom,(+ ! [X] :+ ( riesling(X)+ => q3(X) ) )).++fof(act2_formula206,axiom,(+ ! [X] :+ ( semillon(X)+ => q3(X) ) )).++fof(act2_formula207,axiom,(+ ! [X] :+ ( petitesyrah(X)+ => q3(X) ) )).++fof(act2_formula208,axiom,(+ ! [X] :+ ( whiteburgundy(X)+ => q3(X) ) )).++fof(act2_formula209,axiom,(+ ! [X] :+ ( cabernetsauvignon(X)+ => q3(X) ) )).++fof(act2_formula210,axiom,(+ ! [X] :+ ( cheninblanc(X)+ => q3(X) ) )).++fof(act2_formula211,axiom,(+ ! [X] :+ ( sauvignonblanc(X)+ => q3(X) ) )).++fof(act2_formula212,axiom,(+ ! [X] :+ ( cabernetfranc(X)+ => q3(X) ) )).++fof(act2_formula213,axiom,(+ ! [X] :+ ( beaujolais(X)+ => q3(X) ) )).++fof(act2_formula214,axiom,(+ ! [X] :+ ( stemilion(X)+ => q3(X) ) )).++fof(act2_formula215,axiom,(+ ! [X] :+ ( pinotnoir(X)+ => q3(X) ) )).++fof(act2_formula216,axiom,(+ ! [X] :+ ( sancerre(X)+ => q3(X) ) )).++fof(act2_formula217,axiom,(+ ! [X] :+ ( redburgundy(X)+ => q3(X) ) )).++fof(act2_formula218,axiom,(+ ! [X] :+ ( muscadet(X)+ => q3(X) ) )).++fof(act2_formula219,axiom,(+ ! [X] :+ ( merlot(X)+ => q3(X) ) )).++fof(act2_formula220,axiom,(+ ! [X] :+ ( pinotblanc(X)+ => q3(X) ) )).++fof(act2_formula221,axiom,(+ ! [X] :+ ( gamay(X)+ => q3(X) ) )).++fof(act2_formula222,axiom,(+ ! [Y,X] :+ ( ( q3(Y)+ & kaon2equal(X,Y) )+ => q3(X) ) )).++fof(act2_formula223,axiom,(+ ! [X] :+ ( ( ot____nom8(X)+ & wine(X)+ & kaon2namedobjects(X) )+ => q3(X) ) )).++fof(act2_formula224,axiom,(+ ! [X] :+ ( q29(X)+ => q30(X) ) )).++fof(act2_formula225,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom44(Y) )+ => q30(X) ) )).++fof(act2_formula226,axiom,(+ ! [Y,X] :+ ( ( q30(Y)+ & kaon2equal(X,Y) )+ => q30(X) ) )).++fof(act2_formula227,axiom,(+ ! [X] :+ ( chianti(X)+ => q31(X) ) )).++fof(act2_formula228,axiom,(+ ! [X] :+ ( cabernetsauvignon(X)+ => q31(X) ) )).++fof(act2_formula229,axiom,(+ ! [X] :+ ( medoc(X)+ => q31(X) ) )).++fof(act2_formula230,axiom,(+ ! [X] :+ ( merlot(X)+ => q31(X) ) )).++fof(act2_formula231,axiom,(+ ! [X] :+ ( muscadet(X)+ => q31(X) ) )).++fof(act2_formula232,axiom,(+ ! [X] :+ ( tablewine(X)+ => q31(X) ) )).++fof(act2_formula233,axiom,(+ ! [X] :+ ( drywine(X)+ => q31(X) ) )).++fof(act2_formula234,axiom,(+ ! [X] :+ ( beaujolais(X)+ => q31(X) ) )).++fof(act2_formula235,axiom,(+ ! [X] :+ ( zinfandel(X)+ => q31(X) ) )).++fof(act2_formula236,axiom,(+ ! [X] :+ ( cabernetfranc(X)+ => q31(X) ) )).++fof(act2_formula237,axiom,(+ ! [X] :+ ( burgundy(X)+ => q31(X) ) )).++fof(act2_formula238,axiom,(+ ! [X] :+ ( dryriesling(X)+ => q31(X) ) )).++fof(act2_formula239,axiom,(+ ! [X] :+ ( petitesyrah(X)+ => q31(X) ) )).++fof(act2_formula240,axiom,(+ ! [Y,X] :+ ( ( q31(Y)+ & kaon2equal(X,Y) )+ => q31(X) ) )).++fof(act2_formula241,axiom,(+ ! [X] :+ ( sancerre(X)+ => q32(X) ) )).++fof(act2_formula242,axiom,(+ ! [X] :+ ( anjou(X)+ => q32(X) ) )).++fof(act2_formula243,axiom,(+ ! [Y,X] :+ ( ( q32(Y)+ & kaon2equal(X,Y) )+ => q32(X) ) )).++fof(act2_formula244,axiom,(+ ! [X] :+ ( medoc(X)+ => q33(X) ) )).++fof(act2_formula245,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q34(Y) )+ => q33(X) ) )).++fof(act2_formula246,axiom,(+ ! [Y,X] :+ ( ( q33(Y)+ & kaon2equal(X,Y) )+ => q33(X) ) )).++fof(act2_formula247,axiom,(+ ! [X] :+ ( q33(X)+ => q34(X) ) )).++fof(act2_formula248,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom2(Y) )+ => q34(X) ) )).++fof(act2_formula249,axiom,(+ ! [Y,X] :+ ( ( q34(Y)+ & kaon2equal(X,Y) )+ => q34(X) ) )).++fof(act2_formula250,axiom,(+ ! [X] :+ ( pauillac(X)+ => q35(X) ) )).++fof(act2_formula251,axiom,(+ ! [X] :+ ( port(X)+ => q35(X) ) )).++fof(act2_formula252,axiom,(+ ! [X] :+ ( sweetriesling(X)+ => q35(X) ) )).++fof(act2_formula253,axiom,(+ ! [X] :+ ( meursault(X)+ => q35(X) ) )).++fof(act2_formula254,axiom,(+ ! [X] :+ ( fullbodiedwine(X)+ => q35(X) ) )).++fof(act2_formula255,axiom,(+ ! [Y,X] :+ ( ( q35(Y)+ & kaon2equal(X,Y) )+ => q35(X) ) )).++fof(act2_formula256,axiom,(+ ! [X] :+ ( whitenonsweetwine(X)+ => q36(X) ) )).++fof(act2_formula257,axiom,(+ ! [X] :+ ( earlyharvest(X)+ => q36(X) ) )).++fof(act2_formula258,axiom,(+ ! [X] :+ ( cheninblanc(X)+ => q36(X) ) )).++fof(act2_formula259,axiom,(+ ! [Y,X] :+ ( ( q36(Y)+ & kaon2equal(X,Y) )+ => q36(X) ) )).++fof(act2_formula260,axiom,(+ ! [X] :+ ( cotesdor(X)+ => q37(X) ) )).++fof(act2_formula261,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q38(Y) )+ => q37(X) ) )).++fof(act2_formula262,axiom,(+ ! [Y,X] :+ ( ( q37(Y)+ & kaon2equal(X,Y) )+ => q37(X) ) )).++fof(act2_formula263,axiom,(+ ! [X] :+ ( q37(X)+ => q38(X) ) )).++fof(act2_formula264,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom42(Y) )+ => q38(X) ) )).++fof(act2_formula265,axiom,(+ ! [Y,X] :+ ( ( q38(Y)+ & kaon2equal(X,Y) )+ => q38(X) ) )).++fof(act2_formula266,axiom,(+ ! [X] :+ ( sancerre(X)+ => q39(X) ) )).++fof(act2_formula267,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q40(Y) )+ => q39(X) ) )).++fof(act2_formula268,axiom,(+ ! [Y,X] :+ ( ( q39(Y)+ & kaon2equal(X,Y) )+ => q39(X) ) )).++fof(act2_formula269,axiom,(+ ! [X] :+ ( cheninblanc(X)+ => q4(X) ) )).++fof(act2_formula270,axiom,(+ ! [X] :+ ( chianti(X)+ => q4(X) ) )).++fof(act2_formula271,axiom,(+ ! [X] :+ ( cabernetfranc(X)+ => q4(X) ) )).++fof(act2_formula272,axiom,(+ ! [X] :+ ( cotesdor(X)+ => q4(X) ) )).++fof(act2_formula273,axiom,(+ ! [Y,X] :+ ( ( q4(Y)+ & kaon2equal(X,Y) )+ => q4(X) ) )).++fof(act2_formula274,axiom,(+ ! [X] :+ ( q39(X)+ => q40(X) ) )).++fof(act2_formula275,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom30(Y) )+ => q40(X) ) )).++fof(act2_formula276,axiom,(+ ! [Y,X] :+ ( ( q40(Y)+ & kaon2equal(X,Y) )+ => q40(X) ) )).++fof(act2_formula277,axiom,(+ ! [X] :+ ( q0(X)+ => q41(X) ) )).++fof(act2_formula278,axiom,(+ ! [X,Y] :+ ( ( hascolor(X,Y)+ & ot____nom28(Y) )+ => q41(X) ) )).++fof(act2_formula279,axiom,(+ ! [Y,X] :+ ( ( q41(Y)+ & kaon2equal(X,Y) )+ => q41(X) ) )).++fof(act2_formula280,axiom,(+ ! [X] :+ ( pauillac(X)+ => q42(X) ) )).++fof(act2_formula281,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q43(Y) )+ => q42(X) ) )).++fof(act2_formula282,axiom,(+ ! [Y,X] :+ ( ( q42(Y)+ & kaon2equal(X,Y) )+ => q42(X) ) )).++fof(act2_formula283,axiom,(+ ! [X] :+ ( q42(X)+ => q43(X) ) )).++fof(act2_formula284,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom46(Y) )+ => q43(X) ) )).++fof(act2_formula285,axiom,(+ ! [Y,X] :+ ( ( q43(Y)+ & kaon2equal(X,Y) )+ => q43(X) ) )).++fof(act2_formula286,axiom,(+ ! [X] :+ ( sancerre(X)+ => q44(X) ) )).++fof(act2_formula287,axiom,(+ ! [X] :+ ( sauvignonblanc(X)+ => q44(X) ) )).++fof(act2_formula288,axiom,(+ ! [Y,X] :+ ( ( q44(Y)+ & kaon2equal(X,Y) )+ => q44(X) ) )).++fof(act2_formula289,axiom,(+ ! [X] :+ ( beaujolais(X)+ => q45(X) ) )).++fof(act2_formula290,axiom,(+ ! [X] :+ ( muscadet(X)+ => q45(X) ) )).++fof(act2_formula291,axiom,(+ ! [X] :+ ( anjou(X)+ => q45(X) ) )).++fof(act2_formula292,axiom,(+ ! [Y,X] :+ ( ( q45(Y)+ & kaon2equal(X,Y) )+ => q45(X) ) )).++fof(act2_formula293,axiom,(+ ! [X] :+ ( q31(X)+ => q46(X) ) )).++fof(act2_formula294,axiom,(+ ! [X,Y] :+ ( ( hassugar(X,Y)+ & ot____nom12(Y) )+ => q46(X) ) )).++fof(act2_formula295,axiom,(+ ! [Y,X] :+ ( ( q46(Y)+ & kaon2equal(X,Y) )+ => q46(X) ) )).++fof(act2_formula296,axiom,(+ ! [X] :+ ( californiawine(X)+ => q47(X) ) )).++fof(act2_formula297,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q48(Y) )+ => q47(X) ) )).++fof(act2_formula298,axiom,(+ ! [Y,X] :+ ( ( q47(Y)+ & kaon2equal(X,Y) )+ => q47(X) ) )).++fof(act2_formula299,axiom,(+ ! [X] :+ ( q47(X)+ => q48(X) ) )).++fof(act2_formula300,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom15(Y) )+ => q48(X) ) )).++fof(act2_formula301,axiom,(+ ! [Y,X] :+ ( ( q48(Y)+ & kaon2equal(X,Y) )+ => q48(X) ) )).++fof(act2_formula302,axiom,(+ ! [X] :+ ( germanwine(X)+ => q49(X) ) )).++fof(act2_formula303,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q50(Y) )+ => q49(X) ) )).++fof(act2_formula304,axiom,(+ ! [Y,X] :+ ( ( q49(Y)+ & kaon2equal(X,Y) )+ => q49(X) ) )).++fof(act2_formula305,axiom,(+ ! [X] :+ ( meritage(X)+ => q5(X) ) )).++fof(act2_formula306,axiom,(+ ! [X] :+ ( q24(X)+ => q5(X) ) )).++fof(act2_formula307,axiom,(+ ! [X] :+ ( q6(X)+ => q5(X) ) )).++fof(act2_formula308,axiom,(+ ! [X] :+ ( q13(X)+ => q5(X) ) )).++fof(act2_formula309,axiom,(+ ! [X] :+ ( q72(X)+ => q5(X) ) )).++fof(act2_formula310,axiom,(+ ! [X] :+ ( q14(X)+ => q5(X) ) )).++fof(act2_formula311,axiom,(+ ! [X] :+ ( q69(X)+ => q5(X) ) )).++fof(act2_formula312,axiom,(+ ! [X] :+ ( q63(X)+ => q5(X) ) )).++fof(act2_formula313,axiom,(+ ! [X] :+ ( ( q44(X)+ & semillonorsauvignonblanc(X) )+ => q5(X) ) )).++fof(act2_formula314,axiom,(+ ! [Y,X] :+ ( ( q5(Y)+ & kaon2equal(X,Y) )+ => q5(X) ) )).++fof(act2_formula315,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom3(Y) )+ => q5(X) ) )).++fof(act2_formula316,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom43(Y) )+ => q5(X) ) )).++fof(act2_formula317,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom24(Y) )+ => q5(X) ) )).++fof(act2_formula318,axiom,(+ ! [X,Y] :+ ( ( semillonorsauvignonblanc(X)+ & madefromgrape(X,Y)+ & ot____nom11(Y) )+ => q5(X) ) )).++fof(act2_formula319,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom34(Y) )+ => q5(X) ) )).++fof(act2_formula320,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom37(Y) )+ => q5(X) ) )).++fof(act2_formula321,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom20(Y) )+ => q5(X) ) )).++fof(act2_formula322,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom33(Y) )+ => q5(X) ) )).++fof(act2_formula323,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom39(Y) )+ => q5(X) ) )).++fof(act2_formula324,axiom,(+ ! [X,Y] :+ ( ( semillonorsauvignonblanc(X)+ & madefromgrape(X,Y)+ & ot____nom27(Y) )+ => q5(X) ) )).++fof(act2_formula325,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom25(Y) )+ => q5(X) ) )).++fof(act2_formula326,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom21(Y) )+ => q5(X) ) )).++fof(act2_formula327,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom29(Y) )+ => q5(X) ) )).++fof(act2_formula328,axiom,(+ ! [X] :+ ( q49(X)+ => q50(X) ) )).++fof(act2_formula329,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom17(Y) )+ => q50(X) ) )).++fof(act2_formula330,axiom,(+ ! [Y,X] :+ ( ( q50(Y)+ & kaon2equal(X,Y) )+ => q50(X) ) )).++fof(act2_formula331,axiom,(+ ! [X] :+ ( frenchwine(X)+ => q51(X) ) )).++fof(act2_formula332,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q52(Y) )+ => q51(X) ) )).++fof(act2_formula333,axiom,(+ ! [Y,X] :+ ( ( q51(Y)+ & kaon2equal(X,Y) )+ => q51(X) ) )).++fof(act2_formula334,axiom,(+ ! [X] :+ ( q51(X)+ => q52(X) ) )).++fof(act2_formula335,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom41(Y) )+ => q52(X) ) )).++fof(act2_formula336,axiom,(+ ! [Y,X] :+ ( ( q52(Y)+ & kaon2equal(X,Y) )+ => q52(X) ) )).++fof(act2_formula337,axiom,(+ ! [X] :+ ( muscadet(X)+ => q55(X) ) )).++fof(act2_formula338,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q56(Y) )+ => q55(X) ) )).++fof(act2_formula339,axiom,(+ ! [Y,X] :+ ( ( q55(Y)+ & kaon2equal(X,Y) )+ => q55(X) ) )).++fof(act2_formula340,axiom,(+ ! [X] :+ ( q55(X)+ => q56(X) ) )).++fof(act2_formula341,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom16(Y) )+ => q56(X) ) )).++fof(act2_formula342,axiom,(+ ! [Y,X] :+ ( ( q56(Y)+ & kaon2equal(X,Y) )+ => q56(X) ) )).++fof(act2_formula343,axiom,(+ ! [X] :+ ( loire(X)+ => q57(X) ) )).++fof(act2_formula344,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q58(Y) )+ => q57(X) ) )).++fof(act2_formula345,axiom,(+ ! [Y,X] :+ ( ( q57(Y)+ & kaon2equal(X,Y) )+ => q57(X) ) )).++fof(act2_formula346,axiom,(+ ! [X] :+ ( q57(X)+ => q58(X) ) )).++fof(act2_formula347,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom19(Y) )+ => q58(X) ) )).++fof(act2_formula348,axiom,(+ ! [Y,X] :+ ( ( q58(Y)+ & kaon2equal(X,Y) )+ => q58(X) ) )).++fof(act2_formula349,axiom,(+ ! [X] :+ ( alsatianwine(X)+ => q59(X) ) )).++fof(act2_formula350,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q60(Y) )+ => q59(X) ) )).++fof(act2_formula351,axiom,(+ ! [Y,X] :+ ( ( q59(Y)+ & kaon2equal(X,Y) )+ => q59(X) ) )).++fof(act2_formula352,axiom,(+ ! [X] :+ ( cheninblanc(X)+ => q6(X) ) )).++fof(act2_formula353,axiom,(+ ! [X] :+ ( tours(X)+ => q6(X) ) )).++fof(act2_formula354,axiom,(+ ! [Y,X] :+ ( ( q6(Y)+ & kaon2equal(X,Y) )+ => q6(X) ) )).++fof(act2_formula355,axiom,(+ ! [X] :+ ( q59(X)+ => q60(X) ) )).++fof(act2_formula356,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom13(Y) )+ => q60(X) ) )).++fof(act2_formula357,axiom,(+ ! [Y,X] :+ ( ( q60(Y)+ & kaon2equal(X,Y) )+ => q60(X) ) )).++fof(act2_formula358,axiom,(+ ! [X] :+ ( italianwine(X)+ => q61(X) ) )).++fof(act2_formula359,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q62(Y) )+ => q61(X) ) )).++fof(act2_formula360,axiom,(+ ! [Y,X] :+ ( ( q61(Y)+ & kaon2equal(X,Y) )+ => q61(X) ) )).++fof(act2_formula361,axiom,(+ ! [X] :+ ( q61(X)+ => q62(X) ) )).++fof(act2_formula362,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom47(Y) )+ => q62(X) ) )).++fof(act2_formula363,axiom,(+ ! [Y,X] :+ ( ( q62(Y)+ & kaon2equal(X,Y) )+ => q62(X) ) )).++fof(act2_formula364,axiom,(+ ! [X] :+ ( chardonnay(X)+ => q63(X) ) )).++fof(act2_formula365,axiom,(+ ! [X] :+ ( whiteburgundy(X)+ => q63(X) ) )).++fof(act2_formula366,axiom,(+ ! [Y,X] :+ ( ( q63(Y)+ & kaon2equal(X,Y) )+ => q63(X) ) )).++fof(act2_formula367,axiom,(+ ! [X] :+ ( stemilion(X)+ => q64(X) ) )).++fof(act2_formula368,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q65(Y) )+ => q64(X) ) )).++fof(act2_formula369,axiom,(+ ! [Y,X] :+ ( ( q64(Y)+ & kaon2equal(X,Y) )+ => q64(X) ) )).++fof(act2_formula370,axiom,(+ ! [X] :+ ( q64(X)+ => q65(X) ) )).++fof(act2_formula371,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom36(Y) )+ => q65(X) ) )).++fof(act2_formula372,axiom,(+ ! [Y,X] :+ ( ( q65(Y)+ & kaon2equal(X,Y) )+ => q65(X) ) )).++fof(act2_formula373,axiom,(+ ! [X] :+ ( anjou(X)+ => q66(X) ) )).++fof(act2_formula374,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q67(Y) )+ => q66(X) ) )).++fof(act2_formula375,axiom,(+ ! [Y,X] :+ ( ( q66(Y)+ & kaon2equal(X,Y) )+ => q66(X) ) )).++fof(act2_formula376,axiom,(+ ! [X] :+ ( q66(X)+ => q67(X) ) )).++fof(act2_formula377,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom14(Y) )+ => q67(X) ) )).++fof(act2_formula378,axiom,(+ ! [Y,X] :+ ( ( q67(Y)+ & kaon2equal(X,Y) )+ => q67(X) ) )).++fof(act2_formula379,axiom,(+ ! [X] :+ ( whitebordeaux(X)+ => q68(X) ) )).++fof(act2_formula380,axiom,(+ ! [X] :+ ( semillonorsauvignonblanc(X)+ => q68(X) ) )).++fof(act2_formula381,axiom,(+ ! [Y,X] :+ ( ( q68(Y)+ & kaon2equal(X,Y) )+ => q68(X) ) )).++fof(act2_formula382,axiom,(+ ! [X] :+ ( pauillac(X)+ => q69(X) ) )).++fof(act2_formula383,axiom,(+ ! [X] :+ ( cabernetsauvignon(X)+ => q69(X) ) )).++fof(act2_formula384,axiom,(+ ! [X] :+ ( stemilion(X)+ => q69(X) ) )).++fof(act2_formula385,axiom,(+ ! [Y,X] :+ ( ( q69(Y)+ & kaon2equal(X,Y) )+ => q69(X) ) )).++fof(act2_formula386,axiom,(+ ! [X] :+ ( cabernetfranc(X)+ => q7(X) ) )).++fof(act2_formula387,axiom,(+ ! [X] :+ ( sauternes(X)+ => q7(X) ) )).++fof(act2_formula388,axiom,(+ ! [X] :+ ( sancerre(X)+ => q7(X) ) )).++fof(act2_formula389,axiom,(+ ! [Y,X] :+ ( ( q7(Y)+ & kaon2equal(X,Y) )+ => q7(X) ) )).++fof(act2_formula390,axiom,(+ ! [X] :+ ( sweetriesling(X)+ => q70(X) ) )).++fof(act2_formula391,axiom,(+ ! [X] :+ ( port(X)+ => q70(X) ) )).++fof(act2_formula392,axiom,(+ ! [X] :+ ( sweetwine(X)+ => q70(X) ) )).++fof(act2_formula393,axiom,(+ ! [X] :+ ( lateharvest(X)+ => q70(X) ) )).++fof(act2_formula394,axiom,(+ ! [Y,X] :+ ( ( q70(Y)+ & kaon2equal(X,Y) )+ => q70(X) ) )).++fof(act2_formula395,axiom,(+ ! [X] :+ ( q70(X)+ => q71(X) ) )).++fof(act2_formula396,axiom,(+ ! [X,Y] :+ ( ( hassugar(X,Y)+ & ot____nom1(Y) )+ => q71(X) ) )).++fof(act2_formula397,axiom,(+ ! [Y,X] :+ ( ( q71(Y)+ & kaon2equal(X,Y) )+ => q71(X) ) )).++fof(act2_formula398,axiom,(+ ! [X] :+ ( pinotnoir(X)+ => q72(X) ) )).++fof(act2_formula399,axiom,(+ ! [X] :+ ( redburgundy(X)+ => q72(X) ) )).++fof(act2_formula400,axiom,(+ ! [Y,X] :+ ( ( q72(Y)+ & kaon2equal(X,Y) )+ => q72(X) ) )).++fof(act2_formula401,axiom,(+ ! [X] :+ ( texaswine(X)+ => q73(X) ) )).++fof(act2_formula402,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q74(Y) )+ => q73(X) ) )).++fof(act2_formula403,axiom,(+ ! [Y,X] :+ ( ( q73(Y)+ & kaon2equal(X,Y) )+ => q73(X) ) )).++fof(act2_formula404,axiom,(+ ! [X] :+ ( q73(X)+ => q74(X) ) )).++fof(act2_formula405,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & ot____nom10(Y) )+ => q74(X) ) )).++fof(act2_formula406,axiom,(+ ! [Y,X] :+ ( ( q74(Y)+ & kaon2equal(X,Y) )+ => q74(X) ) )).++fof(act2_formula407,axiom,(+ ! [X] :+ ( tours(X)+ => q9(X) ) )).++fof(act2_formula408,axiom,(+ ! [X,Y] :+ ( ( locatedin(X,Y)+ & q10(Y) )+ => q9(X) ) )).++fof(act2_formula409,axiom,(+ ! [Y,X] :+ ( ( q9(Y)+ & kaon2equal(X,Y) )+ => q9(X) ) )).++fof(act2_formula410,axiom,(+ ! [X] :+ ( ( q60(X)+ & wine(X) )+ => alsatianwine(X) ) )).++fof(act2_formula411,axiom,(+ ! [Y,X] :+ ( ( alsatianwine(Y)+ & kaon2equal(X,Y) )+ => alsatianwine(X) ) )).++fof(act2_formula412,axiom,(+ ! [X] :+ ( ( q27(X)+ & wine(X) )+ => americanwine(X) ) )).++fof(act2_formula413,axiom,(+ ! [Y,X] :+ ( ( americanwine(Y)+ & kaon2equal(X,Y) )+ => americanwine(X) ) )).++fof(act2_formula414,axiom,(+ ! [X] :+ ( ( q67(X)+ & loire(X) )+ => anjou(X) ) )).++fof(act2_formula415,axiom,(+ ! [Y,X] :+ ( ( anjou(Y)+ & kaon2equal(X,Y) )+ => anjou(X) ) )).++fof(act2_formula416,axiom,(+ ! [X] :+ ( ( q23(X)+ & wine(X) )+ => beaujolais(X) ) )).++fof(act2_formula417,axiom,(+ ! [Y,X] :+ ( ( beaujolais(Y)+ & kaon2equal(X,Y) )+ => beaujolais(X) ) )).++fof(act2_formula418,axiom,(+ ! [X] :+ ( sauternes(X)+ => bordeaux(X) ) )).++fof(act2_formula419,axiom,(+ ! [X] :+ ( medoc(X)+ => bordeaux(X) ) )).++fof(act2_formula420,axiom,(+ ! [X] :+ ( redbordeaux(X)+ => bordeaux(X) ) )).++fof(act2_formula421,axiom,(+ ! [X] :+ ( stemilion(X)+ => bordeaux(X) ) )).++fof(act2_formula422,axiom,(+ ! [X] :+ ( whitebordeaux(X)+ => bordeaux(X) ) )).++fof(act2_formula423,axiom,(+ ! [X] :+ ( ( q2(X)+ & wine(X) )+ => bordeaux(X) ) )).++fof(act2_formula424,axiom,(+ ! [Y,X] :+ ( ( bordeaux(Y)+ & kaon2equal(X,Y) )+ => bordeaux(X) ) )).++fof(act2_formula425,axiom,(+ ! [X] :+ ( whiteburgundy(X)+ => burgundy(X) ) )).++fof(act2_formula426,axiom,(+ ! [X] :+ ( redburgundy(X)+ => burgundy(X) ) )).++fof(act2_formula427,axiom,(+ ! [X] :+ ( ( q30(X)+ & wine(X) )+ => burgundy(X) ) )).++fof(act2_formula428,axiom,(+ ! [Y,X] :+ ( ( burgundy(Y)+ & kaon2equal(X,Y) )+ => burgundy(X) ) )).++fof(act2_formula429,axiom,(+ ! [Y,X] :+ ( ( cabernetfranc(Y)+ & kaon2equal(X,Y) )+ => cabernetfranc(X) ) )).++fof(act2_formula430,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom3(Y) )+ => cabernetfranc(X) ) )).++fof(act2_formula431,axiom,(+ ! [X] :+ ( q69(X)+ => cabernetsauvignon(X) ) )).++fof(act2_formula432,axiom,(+ ! [Y,X] :+ ( ( cabernetsauvignon(Y)+ & kaon2equal(X,Y) )+ => cabernetsauvignon(X) ) )).++fof(act2_formula433,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom29(Y) )+ => cabernetsauvignon(X) ) )).++fof(act2_formula434,axiom,(+ ! [X] :+ ( ( q48(X)+ & wine(X) )+ => californiawine(X) ) )).++fof(act2_formula435,axiom,(+ ! [Y,X] :+ ( ( californiawine(Y)+ & kaon2equal(X,Y) )+ => californiawine(X) ) )).++fof(act2_formula436,axiom,(+ ! [X] :+ ( q63(X)+ => chardonnay(X) ) )).++fof(act2_formula437,axiom,(+ ! [Y,X] :+ ( ( chardonnay(Y)+ & kaon2equal(X,Y) )+ => chardonnay(X) ) )).++fof(act2_formula438,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom24(Y) )+ => chardonnay(X) ) )).++fof(act2_formula439,axiom,(+ ! [X] :+ ( q6(X)+ => cheninblanc(X) ) )).++fof(act2_formula440,axiom,(+ ! [Y,X] :+ ( ( cheninblanc(Y)+ & kaon2equal(X,Y) )+ => cheninblanc(X) ) )).++fof(act2_formula441,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom34(Y) )+ => cheninblanc(X) ) )).++fof(act2_formula442,axiom,(+ ! [Y,X] :+ ( ( chianti(Y)+ & kaon2equal(X,Y) )+ => chianti(X) ) )).++fof(act2_formula443,axiom,(+ ! [X] :+ ( ( q38(X)+ & redburgundy(X) )+ => cotesdor(X) ) )).++fof(act2_formula444,axiom,(+ ! [Y,X] :+ ( ( cotesdor(Y)+ & kaon2equal(X,Y) )+ => cotesdor(X) ) )).++fof(act2_formula445,axiom,(+ ! [X] :+ ( sweetriesling(X)+ => dessertwine(X) ) )).++fof(act2_formula446,axiom,(+ ! [X] :+ ( icewine(X)+ => dessertwine(X) ) )).++fof(act2_formula447,axiom,(+ ! [Y,X] :+ ( ( dessertwine(Y)+ & kaon2equal(X,Y) )+ => dessertwine(X) ) )).++fof(act2_formula448,axiom,(+ ! [X] :+ ( ( drywine(X)+ & redwine(X) )+ => dryredwine(X) ) )).++fof(act2_formula449,axiom,(+ ! [Y,X] :+ ( ( dryredwine(Y)+ & kaon2equal(X,Y) )+ => dryredwine(X) ) )).++fof(act2_formula450,axiom,(+ ! [X] :+ ( ( q46(X)+ & riesling(X) )+ => dryriesling(X) ) )).++fof(act2_formula451,axiom,(+ ! [Y,X] :+ ( ( dryriesling(Y)+ & kaon2equal(X,Y) )+ => dryriesling(X) ) )).++fof(act2_formula452,axiom,(+ ! [X] :+ ( ( drywine(X)+ & whitewine(X) )+ => drywhitewine(X) ) )).++fof(act2_formula453,axiom,(+ ! [Y,X] :+ ( ( drywhitewine(Y)+ & kaon2equal(X,Y) )+ => drywhitewine(X) ) )).++fof(act2_formula454,axiom,(+ ! [X] :+ ( drywhitewine(X)+ => drywine(X) ) )).++fof(act2_formula455,axiom,(+ ! [X] :+ ( dryredwine(X)+ => drywine(X) ) )).++fof(act2_formula456,axiom,(+ ! [X] :+ ( ( q46(X)+ & wine(X) )+ => drywine(X) ) )).++fof(act2_formula457,axiom,(+ ! [Y,X] :+ ( ( drywine(Y)+ & kaon2equal(X,Y) )+ => drywine(X) ) )).++fof(act2_formula458,axiom,(+ ! [Y,X] :+ ( ( earlyharvest(Y)+ & kaon2equal(X,Y) )+ => earlyharvest(X) ) )).++fof(act2_formula459,axiom,(+ ! [X] :+ ( ( q52(X)+ & wine(X) )+ => frenchwine(X) ) )).++fof(act2_formula460,axiom,(+ ! [Y,X] :+ ( ( frenchwine(Y)+ & kaon2equal(X,Y) )+ => frenchwine(X) ) )).++fof(act2_formula461,axiom,(+ ! [X] :+ ( q35(X)+ => fullbodiedwine(X) ) )).++fof(act2_formula462,axiom,(+ ! [Y,X] :+ ( ( fullbodiedwine(Y)+ & kaon2equal(X,Y) )+ => fullbodiedwine(X) ) )).++fof(act2_formula463,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & hasbody(X,Y)+ & ot____nom45(Y) )+ => fullbodiedwine(X) ) )).++fof(act2_formula464,axiom,(+ ! [X] :+ ( q14(X)+ => gamay(X) ) )).++fof(act2_formula465,axiom,(+ ! [Y,X] :+ ( ( gamay(Y)+ & kaon2equal(X,Y) )+ => gamay(X) ) )).++fof(act2_formula466,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom33(Y) )+ => gamay(X) ) )).++fof(act2_formula467,axiom,(+ ! [X] :+ ( ( q50(X)+ & wine(X) )+ => germanwine(X) ) )).++fof(act2_formula468,axiom,(+ ! [Y,X] :+ ( ( germanwine(Y)+ & kaon2equal(X,Y) )+ => germanwine(X) ) )).++fof(act2_formula469,axiom,(+ ! [X] :+ ( winegrape(X)+ => grape(X) ) )).++fof(act2_formula470,axiom,(+ ! [Y,X] :+ ( ( grape(Y)+ & kaon2equal(X,Y) )+ => grape(X) ) )).++fof(act2_formula471,axiom,(+ ! [Y,X] :+ ( ( icewine(Y)+ & kaon2equal(X,Y) )+ => icewine(X) ) )).++fof(act2_formula472,axiom,(+ ! [X] :+ ( ( q21(X)+ & dessertwine(X)+ & lateharvest(X) )+ => icewine(X) ) )).++fof(act2_formula473,axiom,(+ ! [X] :+ ( chianti(X)+ => italianwine(X) ) )).++fof(act2_formula474,axiom,(+ ! [X] :+ ( ( q62(X)+ & wine(X) )+ => italianwine(X) ) )).++fof(act2_formula475,axiom,(+ ! [Y,X] :+ ( ( italianwine(Y)+ & kaon2equal(X,Y) )+ => italianwine(X) ) )).++fof(act2_formula476,axiom,(+ ! [X] :+ ( icewine(X)+ => lateharvest(X) ) )).++fof(act2_formula477,axiom,(+ ! [X] :+ ( sauternes(X)+ => lateharvest(X) ) )).++fof(act2_formula478,axiom,(+ ! [Y,X] :+ ( ( lateharvest(Y)+ & kaon2equal(X,Y) )+ => lateharvest(X) ) )).++fof(act2_formula479,axiom,(+ ! [X] :+ ( sancerre(X)+ => loire(X) ) )).++fof(act2_formula480,axiom,(+ ! [X] :+ ( tours(X)+ => loire(X) ) )).++fof(act2_formula481,axiom,(+ ! [X] :+ ( whiteloire(X)+ => loire(X) ) )).++fof(act2_formula482,axiom,(+ ! [X] :+ ( anjou(X)+ => loire(X) ) )).++fof(act2_formula483,axiom,(+ ! [X] :+ ( muscadet(X)+ => loire(X) ) )).++fof(act2_formula484,axiom,(+ ! [X] :+ ( ( q58(X)+ & wine(X) )+ => loire(X) ) )).++fof(act2_formula485,axiom,(+ ! [Y,X] :+ ( ( loire(Y)+ & kaon2equal(X,Y) )+ => loire(X) ) )).++fof(act2_formula486,axiom,(+ ! [X] :+ ( ( q19(X)+ & medoc(X) )+ => margaux(X) ) )).++fof(act2_formula487,axiom,(+ ! [Y,X] :+ ( ( margaux(Y)+ & kaon2equal(X,Y) )+ => margaux(X) ) )).++fof(act2_formula488,axiom,(+ ! [X] :+ ( pauillac(X)+ => medoc(X) ) )).++fof(act2_formula489,axiom,(+ ! [X] :+ ( margaux(X)+ => medoc(X) ) )).++fof(act2_formula490,axiom,(+ ! [X] :+ ( ( q34(X)+ & bordeaux(X) )+ => medoc(X) ) )).++fof(act2_formula491,axiom,(+ ! [Y,X] :+ ( ( medoc(Y)+ & kaon2equal(X,Y) )+ => medoc(X) ) )).++fof(act2_formula492,axiom,(+ ! [Y,X] :+ ( ( meritage(Y)+ & kaon2equal(X,Y) )+ => meritage(X) ) )).++fof(act2_formula493,axiom,(+ ! [X] :+ ( ( ot____nom8(X)+ & wine(X)+ & kaon2namedobjects(X) )+ => meritage(X) ) )).++fof(act2_formula494,axiom,(+ ! [X] :+ ( q13(X)+ => merlot(X) ) )).++fof(act2_formula495,axiom,(+ ! [Y,X] :+ ( ( merlot(Y)+ & kaon2equal(X,Y) )+ => merlot(X) ) )).++fof(act2_formula496,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom43(Y) )+ => merlot(X) ) )).++fof(act2_formula497,axiom,(+ ! [X] :+ ( ( q17(X)+ & whiteburgundy(X) )+ => meursault(X) ) )).++fof(act2_formula498,axiom,(+ ! [Y,X] :+ ( ( meursault(Y)+ & kaon2equal(X,Y) )+ => meursault(X) ) )).++fof(act2_formula499,axiom,(+ ! [X] :+ ( ( q56(X)+ & loire(X) )+ => muscadet(X) ) )).++fof(act2_formula500,axiom,(+ ! [Y,X] :+ ( ( muscadet(Y)+ & kaon2equal(X,Y) )+ => muscadet(X) ) )).++fof(act2_formula501,axiom,(+ ! [X] :+ ( ( q43(X)+ & medoc(X) )+ => pauillac(X) ) )).++fof(act2_formula502,axiom,(+ ! [Y,X] :+ ( ( pauillac(Y)+ & kaon2equal(X,Y) )+ => pauillac(X) ) )).++fof(act2_formula503,axiom,(+ ! [Y,X] :+ ( ( petitesyrah(Y)+ & kaon2equal(X,Y) )+ => petitesyrah(X) ) )).++fof(act2_formula504,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom25(Y) )+ => petitesyrah(X) ) )).++fof(act2_formula505,axiom,(+ ! [X] :+ ( q24(X)+ => pinotblanc(X) ) )).++fof(act2_formula506,axiom,(+ ! [Y,X] :+ ( ( pinotblanc(Y)+ & kaon2equal(X,Y) )+ => pinotblanc(X) ) )).++fof(act2_formula507,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom21(Y) )+ => pinotblanc(X) ) )).++fof(act2_formula508,axiom,(+ ! [X] :+ ( q72(X)+ => pinotnoir(X) ) )).++fof(act2_formula509,axiom,(+ ! [Y,X] :+ ( ( pinotnoir(Y)+ & kaon2equal(X,Y) )+ => pinotnoir(X) ) )).++fof(act2_formula510,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom39(Y) )+ => pinotnoir(X) ) )).++fof(act2_formula511,axiom,(+ ! [Y,X] :+ ( ( port(Y)+ & kaon2equal(X,Y) )+ => port(X) ) )).++fof(act2_formula512,axiom,(+ ! [X] :+ ( wine(X)+ => potableliquid(X) ) )).++fof(act2_formula513,axiom,(+ ! [Y,X] :+ ( ( potableliquid(Y)+ & kaon2equal(X,Y) )+ => potableliquid(X) ) )).++fof(act2_formula514,axiom,(+ ! [X] :+ ( ( redwine(X)+ & bordeaux(X) )+ => redbordeaux(X) ) )).++fof(act2_formula515,axiom,(+ ! [Y,X] :+ ( ( redbordeaux(Y)+ & kaon2equal(X,Y) )+ => redbordeaux(X) ) )).++fof(act2_formula516,axiom,(+ ! [X] :+ ( cotesdor(X)+ => redburgundy(X) ) )).++fof(act2_formula517,axiom,(+ ! [X] :+ ( ( burgundy(X)+ & redwine(X) )+ => redburgundy(X) ) )).++fof(act2_formula518,axiom,(+ ! [Y,X] :+ ( ( redburgundy(Y)+ & kaon2equal(X,Y) )+ => redburgundy(X) ) )).++fof(act2_formula519,axiom,(+ ! [X] :+ ( ( q41(X)+ & tablewine(X) )+ => redtablewine(X) ) )).++fof(act2_formula520,axiom,(+ ! [Y,X] :+ ( ( redtablewine(Y)+ & kaon2equal(X,Y) )+ => redtablewine(X) ) )).++fof(act2_formula521,axiom,(+ ! [X] :+ ( redburgundy(X)+ => redwine(X) ) )).++fof(act2_formula522,axiom,(+ ! [X] :+ ( redbordeaux(X)+ => redwine(X) ) )).++fof(act2_formula523,axiom,(+ ! [X] :+ ( dryredwine(X)+ => redwine(X) ) )).++fof(act2_formula524,axiom,(+ ! [X] :+ ( port(X)+ => redwine(X) ) )).++fof(act2_formula525,axiom,(+ ! [X] :+ ( ( q41(X)+ & wine(X) )+ => redwine(X) ) )).++fof(act2_formula526,axiom,(+ ! [Y,X] :+ ( ( redwine(Y)+ & kaon2equal(X,Y) )+ => redwine(X) ) )).++fof(act2_formula527,axiom,(+ ! [X,Y] :+ ( adjacentregion(X,Y)+ => region(Y) ) )).++fof(act2_formula528,axiom,(+ ! [X,Y] :+ ( locatedin(X,Y)+ => region(Y) ) )).++fof(act2_formula529,axiom,(+ ! [X,Y] :+ ( adjacentregion(X,Y)+ => region(X) ) )).++fof(act2_formula530,axiom,(+ ! [X] :+ ( ( wine(X)+ & kaon2namedobjects(X) )+ => region(X) ) )).++fof(act2_formula531,axiom,(+ ! [Y,X] :+ ( ( region(Y)+ & kaon2equal(X,Y) )+ => region(X) ) )).++fof(act2_formula532,axiom,(+ ! [X] :+ ( dryriesling(X)+ => riesling(X) ) )).++fof(act2_formula533,axiom,(+ ! [X] :+ ( sweetriesling(X)+ => riesling(X) ) )).++fof(act2_formula534,axiom,(+ ! [Y,X] :+ ( ( riesling(Y)+ & kaon2equal(X,Y) )+ => riesling(X) ) )).++fof(act2_formula535,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom37(Y) )+ => riesling(X) ) )).++fof(act2_formula536,axiom,(+ ! [X] :+ ( q15(X)+ => rosewine(X) ) )).++fof(act2_formula537,axiom,(+ ! [Y,X] :+ ( ( rosewine(Y)+ & kaon2equal(X,Y) )+ => rosewine(X) ) )).++fof(act2_formula538,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & hascolor(X,Y)+ & ot____nom32(Y) )+ => rosewine(X) ) )).++fof(act2_formula539,axiom,(+ ! [X] :+ ( ( q40(X)+ & loire(X) )+ => sancerre(X) ) )).++fof(act2_formula540,axiom,(+ ! [Y,X] :+ ( ( sancerre(Y)+ & kaon2equal(X,Y) )+ => sancerre(X) ) )).++fof(act2_formula541,axiom,(+ ! [Y,X] :+ ( ( sauternes(Y)+ & kaon2equal(X,Y) )+ => sauternes(X) ) )).++fof(act2_formula542,axiom,(+ ! [X] :+ ( ( q44(X)+ & semillonorsauvignonblanc(X) )+ => sauvignonblanc(X) ) )).++fof(act2_formula543,axiom,(+ ! [Y,X] :+ ( ( sauvignonblanc(Y)+ & kaon2equal(X,Y) )+ => sauvignonblanc(X) ) )).++fof(act2_formula544,axiom,(+ ! [X,Y] :+ ( ( semillonorsauvignonblanc(X)+ & madefromgrape(X,Y)+ & ot____nom11(Y) )+ => sauvignonblanc(X) ) )).++fof(act2_formula545,axiom,(+ ! [Y,X] :+ ( ( semillon(Y)+ & kaon2equal(X,Y) )+ => semillon(X) ) )).++fof(act2_formula546,axiom,(+ ! [X,Y] :+ ( ( semillonorsauvignonblanc(X)+ & madefromgrape(X,Y)+ & ot____nom27(Y) )+ => semillon(X) ) )).++fof(act2_formula547,axiom,(+ ! [X] :+ ( semillon(X)+ => semillonorsauvignonblanc(X) ) )).++fof(act2_formula548,axiom,(+ ! [X] :+ ( sauvignonblanc(X)+ => semillonorsauvignonblanc(X) ) )).++fof(act2_formula549,axiom,(+ ! [X] :+ ( ( q68(X)+ & wine(X) )+ => semillonorsauvignonblanc(X) ) )).++fof(act2_formula550,axiom,(+ ! [Y,X] :+ ( ( semillonorsauvignonblanc(Y)+ & kaon2equal(X,Y) )+ => semillonorsauvignonblanc(X) ) )).++fof(act2_formula551,axiom,(+ ! [X] :+ ( ( ot____nom6(X)+ & wine(X)+ & kaon2namedobjects(X) )+ => semillonorsauvignonblanc(X) ) )).++fof(act2_formula552,axiom,(+ ! [X] :+ ( ( q65(X)+ & bordeaux(X) )+ => stemilion(X) ) )).++fof(act2_formula553,axiom,(+ ! [Y,X] :+ ( ( stemilion(Y)+ & kaon2equal(X,Y) )+ => stemilion(X) ) )).++fof(act2_formula554,axiom,(+ ! [X] :+ ( ( q71(X)+ & riesling(X) )+ => sweetriesling(X) ) )).++fof(act2_formula555,axiom,(+ ! [Y,X] :+ ( ( sweetriesling(Y)+ & kaon2equal(X,Y) )+ => sweetriesling(X) ) )).++fof(act2_formula556,axiom,(+ ! [X] :+ ( ( q71(X)+ & wine(X) )+ => sweetwine(X) ) )).++fof(act2_formula557,axiom,(+ ! [Y,X] :+ ( ( sweetwine(Y)+ & kaon2equal(X,Y) )+ => sweetwine(X) ) )).++fof(act2_formula558,axiom,(+ ! [X] :+ ( whitetablewine(X)+ => tablewine(X) ) )).++fof(act2_formula559,axiom,(+ ! [X] :+ ( redtablewine(X)+ => tablewine(X) ) )).++fof(act2_formula560,axiom,(+ ! [X] :+ ( ( q46(X)+ & wine(X) )+ => tablewine(X) ) )).++fof(act2_formula561,axiom,(+ ! [Y,X] :+ ( ( tablewine(Y)+ & kaon2equal(X,Y) )+ => tablewine(X) ) )).++fof(act2_formula562,axiom,(+ ! [X] :+ ( ( q74(X)+ & wine(X) )+ => texaswine(X) ) )).++fof(act2_formula563,axiom,(+ ! [Y,X] :+ ( ( texaswine(Y)+ & kaon2equal(X,Y) )+ => texaswine(X) ) )).++fof(act2_formula564,axiom,(+ ! [X] :+ ( ( q10(X)+ & loire(X) )+ => tours(X) ) )).++fof(act2_formula565,axiom,(+ ! [Y,X] :+ ( ( tours(Y)+ & kaon2equal(X,Y) )+ => tours(X) ) )).++fof(act2_formula566,axiom,(+ ! [X,Y] :+ ( hasvintageyear(X,Y)+ => vintage(X) ) )).++fof(act2_formula567,axiom,(+ ! [Y,X] :+ ( ( vintage(Y)+ & kaon2equal(X,Y) )+ => vintage(X) ) )).++fof(act2_formula568,axiom,(+ ! [X,Y] :+ ( hasvintageyear(X,Y)+ => vintageyear(Y) ) )).++fof(act2_formula569,axiom,(+ ! [Y,X] :+ ( ( vintageyear(Y)+ & kaon2equal(X,Y) )+ => vintageyear(X) ) )).++fof(act2_formula570,axiom,(+ ! [X] :+ ( ( bordeaux(X)+ & whitewine(X) )+ => whitebordeaux(X) ) )).++fof(act2_formula571,axiom,(+ ! [Y,X] :+ ( ( whitebordeaux(Y)+ & kaon2equal(X,Y) )+ => whitebordeaux(X) ) )).++fof(act2_formula572,axiom,(+ ! [X] :+ ( meursault(X)+ => whiteburgundy(X) ) )).++fof(act2_formula573,axiom,(+ ! [X] :+ ( ( burgundy(X)+ & whitewine(X) )+ => whiteburgundy(X) ) )).++fof(act2_formula574,axiom,(+ ! [Y,X] :+ ( ( whiteburgundy(Y)+ & kaon2equal(X,Y) )+ => whiteburgundy(X) ) )).++fof(act2_formula575,axiom,(+ ! [X] :+ ( ( loire(X)+ & whitewine(X) )+ => whiteloire(X) ) )).++fof(act2_formula576,axiom,(+ ! [Y,X] :+ ( ( whiteloire(Y)+ & kaon2equal(X,Y) )+ => whiteloire(X) ) )).++fof(act2_formula577,axiom,(+ ! [X] :+ ( ( whitewine(X)+ & kaon2namedobjects(X) )+ => whitenonsweetwine(X) ) )).++fof(act2_formula578,axiom,(+ ! [X] :+ ( ( q36(X)+ & whitewine(X) )+ => whitenonsweetwine(X) ) )).++fof(act2_formula579,axiom,(+ ! [Y,X] :+ ( ( whitenonsweetwine(Y)+ & kaon2equal(X,Y) )+ => whitenonsweetwine(X) ) )).++fof(act2_formula580,axiom,(+ ! [X] :+ ( ( ot____nom7(X)+ & whitewine(X)+ & kaon2namedobjects(X) )+ => whitenonsweetwine(X) ) )).++fof(act2_formula581,axiom,(+ ! [X] :+ ( ( q21(X)+ & tablewine(X) )+ => whitetablewine(X) ) )).++fof(act2_formula582,axiom,(+ ! [Y,X] :+ ( ( whitetablewine(Y)+ & kaon2equal(X,Y) )+ => whitetablewine(X) ) )).++fof(act2_formula583,axiom,(+ ! [X] :+ ( drywhitewine(X)+ => whitewine(X) ) )).++fof(act2_formula584,axiom,(+ ! [X] :+ ( whiteburgundy(X)+ => whitewine(X) ) )).++fof(act2_formula585,axiom,(+ ! [X] :+ ( whitebordeaux(X)+ => whitewine(X) ) )).++fof(act2_formula586,axiom,(+ ! [X] :+ ( whiteloire(X)+ => whitewine(X) ) )).++fof(act2_formula587,axiom,(+ ! [X] :+ ( whitenonsweetwine(X)+ => whitewine(X) ) )).++fof(act2_formula588,axiom,(+ ! [X] :+ ( ( q21(X)+ & wine(X) )+ => whitewine(X) ) )).++fof(act2_formula589,axiom,(+ ! [Y,X] :+ ( ( whitewine(Y)+ & kaon2equal(X,Y) )+ => whitewine(X) ) )).++fof(act2_formula590,axiom,(+ ! [X] :+ ( q14(X)+ => wine(X) ) )).++fof(act2_formula591,axiom,(+ ! [X] :+ ( texaswine(X)+ => wine(X) ) )).++fof(act2_formula592,axiom,(+ ! [X] :+ ( q63(X)+ => wine(X) ) )).++fof(act2_formula593,axiom,(+ ! [X] :+ ( q20(X)+ => wine(X) ) )).++fof(act2_formula594,axiom,(+ ! [X] :+ ( tablewine(X)+ => wine(X) ) )).++fof(act2_formula595,axiom,(+ ! [X,Y] :+ ( haswinedescriptor(X,Y)+ => wine(X) ) )).++fof(act2_formula596,axiom,(+ ! [X] :+ ( q31(X)+ => wine(X) ) )).++fof(act2_formula597,axiom,(+ ! [X] :+ ( q11(X)+ => wine(X) ) )).++fof(act2_formula598,axiom,(+ ! [X] :+ ( q15(X)+ => wine(X) ) )).++fof(act2_formula599,axiom,(+ ! [X] :+ ( earlyharvest(X)+ => wine(X) ) )).++fof(act2_formula600,axiom,(+ ! [X] :+ ( sweetwine(X)+ => wine(X) ) )).++fof(act2_formula601,axiom,(+ ! [X] :+ ( americanwine(X)+ => wine(X) ) )).++fof(act2_formula602,axiom,(+ ! [X] :+ ( alsatianwine(X)+ => wine(X) ) )).++fof(act2_formula603,axiom,(+ ! [X] :+ ( q0(X)+ => wine(X) ) )).++fof(act2_formula604,axiom,(+ ! [X,Y] :+ ( madefromgrape(X,Y)+ => wine(X) ) )).++fof(act2_formula605,axiom,(+ ! [X] :+ ( cabernetfranc(X)+ => wine(X) ) )).++fof(act2_formula606,axiom,(+ ! [X] :+ ( semillonorsauvignonblanc(X)+ => wine(X) ) )).++fof(act2_formula607,axiom,(+ ! [X] :+ ( beaujolais(X)+ => wine(X) ) )).++fof(act2_formula608,axiom,(+ ! [X] :+ ( fullbodiedwine(X)+ => wine(X) ) )).++fof(act2_formula609,axiom,(+ ! [X] :+ ( loire(X)+ => wine(X) ) )).++fof(act2_formula610,axiom,(+ ! [X] :+ ( petitesyrah(X)+ => wine(X) ) )).++fof(act2_formula611,axiom,(+ ! [X] :+ ( q12(X)+ => wine(X) ) )).++fof(act2_formula612,axiom,(+ ! [X] :+ ( q45(X)+ => wine(X) ) )).++fof(act2_formula613,axiom,(+ ! [X] :+ ( q7(X)+ => wine(X) ) )).++fof(act2_formula614,axiom,(+ ! [X] :+ ( pinotnoir(X)+ => wine(X) ) )).++fof(act2_formula615,axiom,(+ ! [X] :+ ( q35(X)+ => wine(X) ) )).++fof(act2_formula616,axiom,(+ ! [X] :+ ( q24(X)+ => wine(X) ) )).++fof(act2_formula617,axiom,(+ ! [X] :+ ( frenchwine(X)+ => wine(X) ) )).++fof(act2_formula618,axiom,(+ ! [X] :+ ( meritage(X)+ => wine(X) ) )).++fof(act2_formula619,axiom,(+ ! [X] :+ ( zinfandel(X)+ => wine(X) ) )).++fof(act2_formula620,axiom,(+ ! [X] :+ ( californiawine(X)+ => wine(X) ) )).++fof(act2_formula621,axiom,(+ ! [X] :+ ( pinotblanc(X)+ => wine(X) ) )).++fof(act2_formula622,axiom,(+ ! [X] :+ ( q44(X)+ => wine(X) ) )).++fof(act2_formula623,axiom,(+ ! [X] :+ ( bordeaux(X)+ => wine(X) ) )).++fof(act2_formula624,axiom,(+ ! [X] :+ ( riesling(X)+ => wine(X) ) )).++fof(act2_formula625,axiom,(+ ! [X,Y] :+ ( hascolor(X,Y)+ => wine(X) ) )).++fof(act2_formula626,axiom,(+ ! [X] :+ ( redwine(X)+ => wine(X) ) )).++fof(act2_formula627,axiom,(+ ! [X] :+ ( whitewine(X)+ => wine(X) ) )).++fof(act2_formula628,axiom,(+ ! [X] :+ ( dessertwine(X)+ => wine(X) ) )).++fof(act2_formula629,axiom,(+ ! [X] :+ ( q69(X)+ => wine(X) ) )).++fof(act2_formula630,axiom,(+ ! [X] :+ ( q6(X)+ => wine(X) ) )).++fof(act2_formula631,axiom,(+ ! [X] :+ ( drywine(X)+ => wine(X) ) )).++fof(act2_formula632,axiom,(+ ! [X] :+ ( q13(X)+ => wine(X) ) )).++fof(act2_formula633,axiom,(+ ! [X] :+ ( germanwine(X)+ => wine(X) ) )).++fof(act2_formula634,axiom,(+ ! [X] :+ ( burgundy(X)+ => wine(X) ) )).++fof(act2_formula635,axiom,(+ ! [X] :+ ( cabernetsauvignon(X)+ => wine(X) ) )).++fof(act2_formula636,axiom,(+ ! [X] :+ ( q72(X)+ => wine(X) ) )).++fof(act2_formula637,axiom,(+ ! [X] :+ ( q70(X)+ => wine(X) ) )).++fof(act2_formula638,axiom,(+ ! [X] :+ ( q4(X)+ => wine(X) ) )).++fof(act2_formula639,axiom,(+ ! [X] :+ ( italianwine(X)+ => wine(X) ) )).++fof(act2_formula640,axiom,(+ ! [X] :+ ( chardonnay(X)+ => wine(X) ) )).++fof(act2_formula641,axiom,(+ ! [X] :+ ( semillon(X)+ => wine(X) ) )).++fof(act2_formula642,axiom,(+ ! [X] :+ ( q5(X)+ => wine(X) ) )).++fof(act2_formula643,axiom,(+ ! [X] :+ ( rosewine(X)+ => wine(X) ) )).++fof(act2_formula644,axiom,(+ ! [X] :+ ( q32(X)+ => wine(X) ) )).++fof(act2_formula645,axiom,(+ ! [X] :+ ( lateharvest(X)+ => wine(X) ) )).++fof(act2_formula646,axiom,(+ ! [X] :+ ( merlot(X)+ => wine(X) ) )).++fof(act2_formula647,axiom,(+ ! [Y,X] :+ ( ( wine(Y)+ & kaon2equal(X,Y) )+ => wine(X) ) )).++fof(act2_formula648,axiom,(+ ! [X] :+ ( ot____nom40(X)+ => winebody(X) ) )).++fof(act2_formula649,axiom,(+ ! [X,Y] :+ ( hasbody(X,Y)+ => winebody(Y) ) )).++fof(act2_formula650,axiom,(+ ! [Y,X] :+ ( ( winebody(Y)+ & kaon2equal(X,Y) )+ => winebody(X) ) )).++fof(act2_formula651,axiom,(+ ! [X] :+ ( ot____nom9(X)+ => winecolor(X) ) )).++fof(act2_formula652,axiom,(+ ! [X,Y] :+ ( hascolor(X,Y)+ => winecolor(Y) ) )).++fof(act2_formula653,axiom,(+ ! [X] :+ ( winedescriptor(X)+ => winecolor(X) ) )).++fof(act2_formula654,axiom,(+ ! [Y,X] :+ ( ( winecolor(Y)+ & kaon2equal(X,Y) )+ => winecolor(X) ) )).++fof(act2_formula655,axiom,(+ ! [X] :+ ( winecolor(X)+ => winedescriptor(X) ) )).++fof(act2_formula656,axiom,(+ ! [X] :+ ( winetaste(X)+ => winedescriptor(X) ) )).++fof(act2_formula657,axiom,(+ ! [X,Y] :+ ( haswinedescriptor(X,Y)+ => winedescriptor(Y) ) )).++fof(act2_formula658,axiom,(+ ! [Y,X] :+ ( ( winedescriptor(Y)+ & kaon2equal(X,Y) )+ => winedescriptor(X) ) )).++fof(act2_formula659,axiom,(+ ! [X,Y] :+ ( hasflavor(X,Y)+ => wineflavor(Y) ) )).++fof(act2_formula660,axiom,(+ ! [X] :+ ( ot____nom35(X)+ => wineflavor(X) ) )).++fof(act2_formula661,axiom,(+ ! [Y,X] :+ ( ( wineflavor(Y)+ & kaon2equal(X,Y) )+ => wineflavor(X) ) )).++fof(act2_formula662,axiom,(+ ! [X,Y] :+ ( madefromgrape(X,Y)+ => winegrape(Y) ) )).++fof(act2_formula663,axiom,(+ ! [Y,X] :+ ( ( winegrape(Y)+ & kaon2equal(X,Y) )+ => winegrape(X) ) )).++fof(act2_formula664,axiom,(+ ! [X] :+ ( ot____nom18(X)+ => winesugar(X) ) )).++fof(act2_formula665,axiom,(+ ! [X,Y] :+ ( hassugar(X,Y)+ => winesugar(Y) ) )).++fof(act2_formula666,axiom,(+ ! [Y,X] :+ ( ( winesugar(Y)+ & kaon2equal(X,Y) )+ => winesugar(X) ) )).++fof(act2_formula667,axiom,(+ ! [X] :+ ( wineflavor(X)+ => winetaste(X) ) )).++fof(act2_formula668,axiom,(+ ! [X] :+ ( winesugar(X)+ => winetaste(X) ) )).++fof(act2_formula669,axiom,(+ ! [X] :+ ( winebody(X)+ => winetaste(X) ) )).++fof(act2_formula670,axiom,(+ ! [X] :+ ( winedescriptor(X)+ => winetaste(X) ) )).++fof(act2_formula671,axiom,(+ ! [Y,X] :+ ( ( winetaste(Y)+ & kaon2equal(X,Y) )+ => winetaste(X) ) )).++fof(act2_formula672,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & hasmaker(X,Y) )+ => winery(Y) ) )).++fof(act2_formula673,axiom,(+ ! [Y,X] :+ ( ( winery(Y)+ & kaon2equal(X,Y) )+ => winery(X) ) )).++fof(act2_formula674,axiom,(+ ! [Y,X] :+ ( ( zinfandel(Y)+ & kaon2equal(X,Y) )+ => zinfandel(X) ) )).++fof(act2_formula675,axiom,(+ ! [X,Y] :+ ( ( wine(X)+ & madefromgrape(X,Y)+ & ot____nom20(Y) )+ => zinfandel(X) ) )).++fof(act2_formula676,axiom,(+ ! [X] :+ ( ( q70(X)+ & kaon2namedobjects(X) )+ => ot____nom1(X) ) )).++fof(act2_formula677,axiom,(+ ! [Y,X] :+ ( ( ot____nom1(Y)+ & kaon2equal(X,Y) )+ => ot____nom1(X) ) )).++fof(act2_formula678,axiom,(+ ! [X] :+ ( ( q73(X)+ & kaon2namedobjects(X) )+ => ot____nom10(X) ) )).++fof(act2_formula679,axiom,(+ ! [Y,X] :+ ( ( ot____nom10(Y)+ & kaon2equal(X,Y) )+ => ot____nom10(X) ) )).++fof(act2_formula680,axiom,(+ ! [X] :+ ( ( q44(X)+ & kaon2namedobjects(X) )+ => ot____nom11(X) ) )).++fof(act2_formula681,axiom,(+ ! [Y,X] :+ ( ( ot____nom11(Y)+ & kaon2equal(X,Y) )+ => ot____nom11(X) ) )).++fof(act2_formula682,axiom,(+ ! [X] :+ ( ( q31(X)+ & kaon2namedobjects(X) )+ => ot____nom12(X) ) )).++fof(act2_formula683,axiom,(+ ! [Y,X] :+ ( ( ot____nom12(Y)+ & kaon2equal(X,Y) )+ => ot____nom12(X) ) )).++fof(act2_formula684,axiom,(+ ! [X] :+ ( ( q59(X)+ & kaon2namedobjects(X) )+ => ot____nom13(X) ) )).++fof(act2_formula685,axiom,(+ ! [Y,X] :+ ( ( ot____nom13(Y)+ & kaon2equal(X,Y) )+ => ot____nom13(X) ) )).++fof(act2_formula686,axiom,(+ ! [X] :+ ( ( q66(X)+ & kaon2namedobjects(X) )+ => ot____nom14(X) ) )).++fof(act2_formula687,axiom,(+ ! [Y,X] :+ ( ( ot____nom14(Y)+ & kaon2equal(X,Y) )+ => ot____nom14(X) ) )).++fof(act2_formula688,axiom,(+ ! [X] :+ ( ( q47(X)+ & kaon2namedobjects(X) )+ => ot____nom15(X) ) )).++fof(act2_formula689,axiom,(+ ! [Y,X] :+ ( ( ot____nom15(Y)+ & kaon2equal(X,Y) )+ => ot____nom15(X) ) )).++fof(act2_formula690,axiom,(+ ! [X] :+ ( ( q55(X)+ & kaon2namedobjects(X) )+ => ot____nom16(X) ) )).++fof(act2_formula691,axiom,(+ ! [Y,X] :+ ( ( ot____nom16(Y)+ & kaon2equal(X,Y) )+ => ot____nom16(X) ) )).++fof(act2_formula692,axiom,(+ ! [X] :+ ( ( q49(X)+ & kaon2namedobjects(X) )+ => ot____nom17(X) ) )).++fof(act2_formula693,axiom,(+ ! [Y,X] :+ ( ( ot____nom17(Y)+ & kaon2equal(X,Y) )+ => ot____nom17(X) ) )).++fof(act2_formula694,axiom,(+ ! [X] :+ ( winesugar(X)+ => ot____nom18(X) ) )).++fof(act2_formula695,axiom,(+ ! [Y,X] :+ ( ( ot____nom18(Y)+ & kaon2equal(X,Y) )+ => ot____nom18(X) ) )).++fof(act2_formula696,axiom,(+ ! [X] :+ ( ( q57(X)+ & kaon2namedobjects(X) )+ => ot____nom19(X) ) )).++fof(act2_formula697,axiom,(+ ! [Y,X] :+ ( ( ot____nom19(Y)+ & kaon2equal(X,Y) )+ => ot____nom19(X) ) )).++fof(act2_formula698,axiom,(+ ! [X] :+ ( ( q33(X)+ & kaon2namedobjects(X) )+ => ot____nom2(X) ) )).++fof(act2_formula699,axiom,(+ ! [Y,X] :+ ( ( ot____nom2(Y)+ & kaon2equal(X,Y) )+ => ot____nom2(X) ) )).++fof(act2_formula700,axiom,(+ ! [X] :+ ( ( zinfandel(X)+ & kaon2namedobjects(X) )+ => ot____nom20(X) ) )).++fof(act2_formula701,axiom,(+ ! [Y,X] :+ ( ( ot____nom20(Y)+ & kaon2equal(X,Y) )+ => ot____nom20(X) ) )).++fof(act2_formula702,axiom,(+ ! [X] :+ ( ( q24(X)+ & kaon2namedobjects(X) )+ => ot____nom21(X) ) )).++fof(act2_formula703,axiom,(+ ! [Y,X] :+ ( ( ot____nom21(Y)+ & kaon2equal(X,Y) )+ => ot____nom21(X) ) )).++fof(act2_formula704,axiom,(+ ! [X] :+ ( ( q18(X)+ & kaon2namedobjects(X) )+ => ot____nom22(X) ) )).++fof(act2_formula705,axiom,(+ ! [Y,X] :+ ( ( ot____nom22(Y)+ & kaon2equal(X,Y) )+ => ot____nom22(X) ) )).++fof(act2_formula706,axiom,(+ ! [X] :+ ( ( q1(X)+ & kaon2namedobjects(X) )+ => ot____nom23(X) ) )).++fof(act2_formula707,axiom,(+ ! [Y,X] :+ ( ( ot____nom23(Y)+ & kaon2equal(X,Y) )+ => ot____nom23(X) ) )).++fof(act2_formula708,axiom,(+ ! [X] :+ ( ( q63(X)+ & kaon2namedobjects(X) )+ => ot____nom24(X) ) )).++fof(act2_formula709,axiom,(+ ! [Y,X] :+ ( ( ot____nom24(Y)+ & kaon2equal(X,Y) )+ => ot____nom24(X) ) )).++fof(act2_formula710,axiom,(+ ! [X] :+ ( ( petitesyrah(X)+ & kaon2namedobjects(X) )+ => ot____nom25(X) ) )).++fof(act2_formula711,axiom,(+ ! [Y,X] :+ ( ( ot____nom25(Y)+ & kaon2equal(X,Y) )+ => ot____nom25(X) ) )).++fof(act2_formula712,axiom,(+ ! [X] :+ ( ( q22(X)+ & kaon2namedobjects(X) )+ => ot____nom26(X) ) )).++fof(act2_formula713,axiom,(+ ! [Y,X] :+ ( ( ot____nom26(Y)+ & kaon2equal(X,Y) )+ => ot____nom26(X) ) )).++fof(act2_formula714,axiom,(+ ! [X] :+ ( ( semillon(X)+ & kaon2namedobjects(X) )+ => ot____nom27(X) ) )).++fof(act2_formula715,axiom,(+ ! [Y,X] :+ ( ( ot____nom27(Y)+ & kaon2equal(X,Y) )+ => ot____nom27(X) ) )).++fof(act2_formula716,axiom,(+ ! [X] :+ ( ( q0(X)+ & kaon2namedobjects(X) )+ => ot____nom28(X) ) )).++fof(act2_formula717,axiom,(+ ! [Y,X] :+ ( ( ot____nom28(Y)+ & kaon2equal(X,Y) )+ => ot____nom28(X) ) )).++fof(act2_formula718,axiom,(+ ! [X] :+ ( ( q69(X)+ & kaon2namedobjects(X) )+ => ot____nom29(X) ) )).++fof(act2_formula719,axiom,(+ ! [Y,X] :+ ( ( ot____nom29(Y)+ & kaon2equal(X,Y) )+ => ot____nom29(X) ) )).++fof(act2_formula720,axiom,(+ ! [X] :+ ( ( cabernetfranc(X)+ & kaon2namedobjects(X) )+ => ot____nom3(X) ) )).++fof(act2_formula721,axiom,(+ ! [Y,X] :+ ( ( ot____nom3(Y)+ & kaon2equal(X,Y) )+ => ot____nom3(X) ) )).++fof(act2_formula722,axiom,(+ ! [X] :+ ( ( q39(X)+ & kaon2namedobjects(X) )+ => ot____nom30(X) ) )).++fof(act2_formula723,axiom,(+ ! [Y,X] :+ ( ( ot____nom30(Y)+ & kaon2equal(X,Y) )+ => ot____nom30(X) ) )).++fof(act2_formula724,axiom,(+ ! [X] :+ ( ( q16(X)+ & kaon2namedobjects(X) )+ => ot____nom31(X) ) )).++fof(act2_formula725,axiom,(+ ! [Y,X] :+ ( ( ot____nom31(Y)+ & kaon2equal(X,Y) )+ => ot____nom31(X) ) )).++fof(act2_formula726,axiom,(+ ! [X] :+ ( ( q15(X)+ & kaon2namedobjects(X) )+ => ot____nom32(X) ) )).++fof(act2_formula727,axiom,(+ ! [Y,X] :+ ( ( ot____nom32(Y)+ & kaon2equal(X,Y) )+ => ot____nom32(X) ) )).++fof(act2_formula728,axiom,(+ ! [X] :+ ( ( q14(X)+ & kaon2namedobjects(X) )+ => ot____nom33(X) ) )).++fof(act2_formula729,axiom,(+ ! [Y,X] :+ ( ( ot____nom33(Y)+ & kaon2equal(X,Y) )+ => ot____nom33(X) ) )).++fof(act2_formula730,axiom,(+ ! [X] :+ ( ( q6(X)+ & kaon2namedobjects(X) )+ => ot____nom34(X) ) )).++fof(act2_formula731,axiom,(+ ! [Y,X] :+ ( ( ot____nom34(Y)+ & kaon2equal(X,Y) )+ => ot____nom34(X) ) )).++fof(act2_formula732,axiom,(+ ! [X] :+ ( wineflavor(X)+ => ot____nom35(X) ) )).++fof(act2_formula733,axiom,(+ ! [Y,X] :+ ( ( ot____nom35(Y)+ & kaon2equal(X,Y) )+ => ot____nom35(X) ) )).++fof(act2_formula734,axiom,(+ ! [X] :+ ( ( q64(X)+ & kaon2namedobjects(X) )+ => ot____nom36(X) ) )).++fof(act2_formula735,axiom,(+ ! [Y,X] :+ ( ( ot____nom36(Y)+ & kaon2equal(X,Y) )+ => ot____nom36(X) ) )).++fof(act2_formula736,axiom,(+ ! [X] :+ ( ( riesling(X)+ & kaon2namedobjects(X) )+ => ot____nom37(X) ) )).++fof(act2_formula737,axiom,(+ ! [Y,X] :+ ( ( ot____nom37(Y)+ & kaon2equal(X,Y) )+ => ot____nom37(X) ) )).++fof(act2_formula738,axiom,(+ ! [X] :+ ( ( q26(X)+ & kaon2namedobjects(X) )+ => ot____nom38(X) ) )).++fof(act2_formula739,axiom,(+ ! [Y,X] :+ ( ( ot____nom38(Y)+ & kaon2equal(X,Y) )+ => ot____nom38(X) ) )).++fof(act2_formula740,axiom,(+ ! [X] :+ ( ( q72(X)+ & kaon2namedobjects(X) )+ => ot____nom39(X) ) )).++fof(act2_formula741,axiom,(+ ! [Y,X] :+ ( ( ot____nom39(Y)+ & kaon2equal(X,Y) )+ => ot____nom39(X) ) )).++fof(act2_formula742,axiom,(+ ! [X] :+ ( ( q9(X)+ & kaon2namedobjects(X) )+ => ot____nom4(X) ) )).++fof(act2_formula743,axiom,(+ ! [Y,X] :+ ( ( ot____nom4(Y)+ & kaon2equal(X,Y) )+ => ot____nom4(X) ) )).++fof(act2_formula744,axiom,(+ ! [X] :+ ( winebody(X)+ => ot____nom40(X) ) )).++fof(act2_formula745,axiom,(+ ! [Y,X] :+ ( ( ot____nom40(Y)+ & kaon2equal(X,Y) )+ => ot____nom40(X) ) )).++fof(act2_formula746,axiom,(+ ! [X] :+ ( ( q51(X)+ & kaon2namedobjects(X) )+ => ot____nom41(X) ) )).++fof(act2_formula747,axiom,(+ ! [Y,X] :+ ( ( ot____nom41(Y)+ & kaon2equal(X,Y) )+ => ot____nom41(X) ) )).++fof(act2_formula748,axiom,(+ ! [X] :+ ( ( q37(X)+ & kaon2namedobjects(X) )+ => ot____nom42(X) ) )).++fof(act2_formula749,axiom,(+ ! [Y,X] :+ ( ( ot____nom42(Y)+ & kaon2equal(X,Y) )+ => ot____nom42(X) ) )).++fof(act2_formula750,axiom,(+ ! [X] :+ ( ( q13(X)+ & kaon2namedobjects(X) )+ => ot____nom43(X) ) )).++fof(act2_formula751,axiom,(+ ! [Y,X] :+ ( ( ot____nom43(Y)+ & kaon2equal(X,Y) )+ => ot____nom43(X) ) )).++fof(act2_formula752,axiom,(+ ! [X] :+ ( ( q29(X)+ & kaon2namedobjects(X) )+ => ot____nom44(X) ) )).++fof(act2_formula753,axiom,(+ ! [Y,X] :+ ( ( ot____nom44(Y)+ & kaon2equal(X,Y) )+ => ot____nom44(X) ) )).++fof(act2_formula754,axiom,(+ ! [X] :+ ( ( q35(X)+ & kaon2namedobjects(X) )+ => ot____nom45(X) ) )).++fof(act2_formula755,axiom,(+ ! [Y,X] :+ ( ( ot____nom45(Y)+ & kaon2equal(X,Y) )+ => ot____nom45(X) ) )).++fof(act2_formula756,axiom,(+ ! [X] :+ ( ( q42(X)+ & kaon2namedobjects(X) )+ => ot____nom46(X) ) )).++fof(act2_formula757,axiom,(+ ! [Y,X] :+ ( ( ot____nom46(Y)+ & kaon2equal(X,Y) )+ => ot____nom46(X) ) )).++fof(act2_formula758,axiom,(+ ! [X] :+ ( ( q61(X)+ & kaon2namedobjects(X) )+ => ot____nom47(X) ) )).++fof(act2_formula759,axiom,(+ ! [Y,X] :+ ( ( ot____nom47(Y)+ & kaon2equal(X,Y) )+ => ot____nom47(X) ) )).++fof(act2_formula760,axiom,(+ ! [X] :+ ( ( q4(X)+ & kaon2namedobjects(X) )+ => ot____nom48(X) ) )).++fof(act2_formula761,axiom,(+ ! [Y,X] :+ ( ( ot____nom48(Y)+ & kaon2equal(X,Y) )+ => ot____nom48(X) ) )).++fof(act2_formula762,axiom,(+ ! [X] :+ ( ( q7(X)+ & kaon2namedobjects(X) )+ => ot____nom49(X) ) )).++fof(act2_formula763,axiom,(+ ! [Y,X] :+ ( ( ot____nom49(Y)+ & kaon2equal(X,Y) )+ => ot____nom49(X) ) )).++fof(act2_formula764,axiom,(+ ! [X] :+ ( ( q12(X)+ & kaon2namedobjects(X) )+ => ot____nom5(X) ) )).++fof(act2_formula765,axiom,(+ ! [Y,X] :+ ( ( ot____nom5(Y)+ & kaon2equal(X,Y) )+ => ot____nom5(X) ) )).++fof(act2_formula766,axiom,(+ ! [X,Y] :+ ( ( sweetriesling(X)+ & hasflavor(X,Y) )+ => ot____nom50(Y) ) )).++fof(act2_formula767,axiom,(+ ! [X,Y] :+ ( ( lateharvest(X)+ & hasflavor(X,Y) )+ => ot____nom50(Y) ) )).++fof(act2_formula768,axiom,(+ ! [X,Y] :+ ( ( chardonnay(X)+ & hasflavor(X,Y) )+ => ot____nom50(Y) ) )).++fof(act2_formula769,axiom,(+ ! [X,Y] :+ ( ( zinfandel(X)+ & hasflavor(X,Y) )+ => ot____nom50(Y) ) )).++fof(act2_formula770,axiom,(+ ! [X,Y] :+ ( ( icewine(X)+ & hasflavor(X,Y) )+ => ot____nom50(Y) ) )).++fof(act2_formula771,axiom,(+ ! [X,Y] :+ ( ( cabernetsauvignon(X)+ & hasflavor(X,Y) )+ => ot____nom50(Y) ) )).++fof(act2_formula772,axiom,(+ ! [X,Y] :+ ( ( petitesyrah(X)+ & hasflavor(X,Y) )+ => ot____nom50(Y) ) )).++fof(act2_formula773,axiom,(+ ! [Y,X] :+ ( ( ot____nom50(Y)+ & kaon2equal(X,Y) )+ => ot____nom50(X) ) )).++fof(act2_formula774,axiom,(+ ! [X,Y] :+ ( ( icewine(X)+ & hasbody(X,Y) )+ => ot____nom51(Y) ) )).++fof(act2_formula775,axiom,(+ ! [X,Y] :+ ( ( cheninblanc(X)+ & hasbody(X,Y) )+ => ot____nom51(Y) ) )).++fof(act2_formula776,axiom,(+ ! [X,Y] :+ ( ( chardonnay(X)+ & hasbody(X,Y) )+ => ot____nom51(Y) ) )).++fof(act2_formula777,axiom,(+ ! [X,Y] :+ ( ( cabernetsauvignon(X)+ & hasbody(X,Y) )+ => ot____nom51(Y) ) )).++fof(act2_formula778,axiom,(+ ! [X,Y] :+ ( ( semillonorsauvignonblanc(X)+ & hasbody(X,Y) )+ => ot____nom51(Y) ) )).++fof(act2_formula779,axiom,(+ ! [X,Y] :+ ( ( petitesyrah(X)+ & hasbody(X,Y) )+ => ot____nom51(Y) ) )).++fof(act2_formula780,axiom,(+ ! [X,Y] :+ ( ( zinfandel(X)+ & hasbody(X,Y) )+ => ot____nom51(Y) ) )).++fof(act2_formula781,axiom,(+ ! [Y,X] :+ ( ( ot____nom51(Y)+ & kaon2equal(X,Y) )+ => ot____nom51(X) ) )).++fof(act2_formula782,axiom,(+ ! [X] :+ ( ( sauternes(X)+ & kaon2namedobjects(X) )+ => ot____nom52(X) ) )).++fof(act2_formula783,axiom,(+ ! [Y,X] :+ ( ( ot____nom52(Y)+ & kaon2equal(X,Y) )+ => ot____nom52(X) ) )).++fof(act2_formula784,axiom,(+ ! [X,Y] :+ ( ( dessertwine(X)+ & hassugar(X,Y) )+ => ot____nom53(Y) ) )).++fof(act2_formula785,axiom,(+ ! [Y,X] :+ ( ( ot____nom53(Y)+ & kaon2equal(X,Y) )+ => ot____nom53(X) ) )).++fof(act2_formula786,axiom,(+ ! [X] :+ ( ( q32(X)+ & kaon2namedobjects(X) )+ => ot____nom54(X) ) )).++fof(act2_formula787,axiom,(+ ! [Y,X] :+ ( ( ot____nom54(Y)+ & kaon2equal(X,Y) )+ => ot____nom54(X) ) )).++fof(act2_formula788,axiom,(+ ! [X] :+ ( ( q20(X)+ & kaon2namedobjects(X) )+ => ot____nom55(X) ) )).++fof(act2_formula789,axiom,(+ ! [Y,X] :+ ( ( ot____nom55(Y)+ & kaon2equal(X,Y) )+ => ot____nom55(X) ) )).++fof(act2_formula790,axiom,(+ ! [X] :+ ( ( q45(X)+ & kaon2namedobjects(X) )+ => ot____nom56(X) ) )).++fof(act2_formula791,axiom,(+ ! [Y,X] :+ ( ( ot____nom56(Y)+ & kaon2equal(X,Y) )+ => ot____nom56(X) ) )).++fof(act2_formula792,axiom,(+ ! [X] :+ ( ( port(X)+ & kaon2namedobjects(X) )+ => ot____nom57(X) ) )).++fof(act2_formula793,axiom,(+ ! [Y,X] :+ ( ( ot____nom57(Y)+ & kaon2equal(X,Y) )+ => ot____nom57(X) ) )).++fof(act2_formula794,axiom,(+ ! [X] :+ ( ( q11(X)+ & kaon2namedobjects(X) )+ => ot____nom58(X) ) )).++fof(act2_formula795,axiom,(+ ! [Y,X] :+ ( ( ot____nom58(Y)+ & kaon2equal(X,Y) )+ => ot____nom58(X) ) )).++fof(act2_formula796,axiom,(+ ! [X,Y] :+ ( ( merlot(X)+ & hasbody(X,Y) )+ => ot____nom59(Y) ) )).++fof(act2_formula797,axiom,(+ ! [X,Y] :+ ( ( dryriesling(X)+ & hasbody(X,Y) )+ => ot____nom59(Y) ) )).++fof(act2_formula798,axiom,(+ ! [X,Y] :+ ( ( chianti(X)+ & hasbody(X,Y) )+ => ot____nom59(Y) ) )).++fof(act2_formula799,axiom,(+ ! [Y,X] :+ ( ( ot____nom59(Y)+ & kaon2equal(X,Y) )+ => ot____nom59(X) ) )).++fof(act2_formula800,axiom,(+ ! [X,Y] :+ ( ( q68(X)+ & madefromgrape(X,Y) )+ => ot____nom6(Y) ) )).++fof(act2_formula801,axiom,(+ ! [Y,X] :+ ( ( ot____nom6(Y)+ & kaon2equal(X,Y) )+ => ot____nom6(X) ) )).++fof(act2_formula802,axiom,(+ ! [X] :+ ( ( chianti(X)+ & kaon2namedobjects(X) )+ => ot____nom60(X) ) )).++fof(act2_formula803,axiom,(+ ! [Y,X] :+ ( ( ot____nom60(Y)+ & kaon2equal(X,Y) )+ => ot____nom60(X) ) )).++fof(act2_formula804,axiom,(+ ! [X] :+ ( ( chianti(X)+ & kaon2namedobjects(X) )+ => ot____nom61(X) ) )).++fof(act2_formula805,axiom,(+ ! [Y,X] :+ ( ( ot____nom61(Y)+ & kaon2equal(X,Y) )+ => ot____nom61(X) ) )).++fof(act2_formula806,axiom,(+ ! [X,Y] :+ ( ( redbordeaux(X)+ & madefromgrape(X,Y) )+ => ot____nom62(Y) ) )).++fof(act2_formula807,axiom,(+ ! [Y,X] :+ ( ( ot____nom62(Y)+ & kaon2equal(X,Y) )+ => ot____nom62(X) ) )).++fof(act2_formula808,axiom,(+ ! [X,Y] :+ ( ( whiteloire(X)+ & madefromgrape(X,Y) )+ => ot____nom63(Y) ) )).++fof(act2_formula809,axiom,(+ ! [Y,X] :+ ( ( ot____nom63(Y)+ & kaon2equal(X,Y) )+ => ot____nom63(X) ) )).++fof(act2_formula810,axiom,(+ ! [X,Y] :+ ( ( merlot(X)+ & hasflavor(X,Y) )+ => ot____nom64(Y) ) )).++fof(act2_formula811,axiom,(+ ! [Y,X] :+ ( ( ot____nom64(Y)+ & kaon2equal(X,Y) )+ => ot____nom64(X) ) )).++fof(act2_formula812,axiom,(+ ! [X,Y] :+ ( ( q36(X)+ & hassugar(X,Y) )+ => ot____nom7(Y) ) )).++fof(act2_formula813,axiom,(+ ! [Y,X] :+ ( ( ot____nom7(Y)+ & kaon2equal(X,Y) )+ => ot____nom7(X) ) )).++fof(act2_formula814,axiom,(+ ! [X,Y] :+ ( ( meritage(X)+ & madefromgrape(X,Y) )+ => ot____nom8(Y) ) )).++fof(act2_formula815,axiom,(+ ! [Y,X] :+ ( ( ot____nom8(Y)+ & kaon2equal(X,Y) )+ => ot____nom8(X) ) )).++fof(act2_formula816,axiom,(+ ! [X] :+ ( winecolor(X)+ => ot____nom9(X) ) )).++fof(act2_formula817,axiom,(+ ! [Y,X] :+ ( ( ot____nom9(Y)+ & kaon2equal(X,Y) )+ => ot____nom9(X) ) )).++fof(act2_formula818,axiom,(+ ! [X,Y] :+ ( adjacentregion(X,Y)+ => adjacentregion(Y,X) ) )).++fof(act2_formula819,axiom,(+ ! [Y,X_1,X] :+ ( ( adjacentregion(Y,X_1)+ & kaon2equal(X,Y) )+ => adjacentregion(X,X_1) ) )).++fof(act2_formula820,axiom,(+ ! [X_0,Y,X] :+ ( ( adjacentregion(X_0,Y)+ & kaon2equal(X,Y) )+ => adjacentregion(X_0,X) ) )).++fof(act2_formula821,axiom,(+ ! [X] :+ ( ( q45(X)+ & kaon2namedobjects(X) )+ => hasbody(X,X) ) )).++fof(act2_formula822,axiom,(+ ! [X] :+ ( ( wine(X)+ & kaon2namedobjects(X) )+ => hasbody(X,X) ) )).++fof(act2_formula823,axiom,(+ ! [X] :+ ( ( q35(X)+ & kaon2namedobjects(X) )+ => hasbody(X,X) ) )).++fof(act2_formula824,axiom,(+ ! [X] :+ ( ( q7(X)+ & kaon2namedobjects(X) )+ => hasbody(X,X) ) )).++fof(act2_formula825,axiom,(+ ! [Y,X_1,X] :+ ( ( hasbody(Y,X_1)+ & kaon2equal(X,Y) )+ => hasbody(X,X_1) ) )).++fof(act2_formula826,axiom,(+ ! [X_0,Y,X] :+ ( ( hasbody(X_0,Y)+ & kaon2equal(X,Y) )+ => hasbody(X_0,X) ) )).++fof(act2_formula827,axiom,(+ ! [X] :+ ( ( q0(X)+ & kaon2namedobjects(X) )+ => hascolor(X,X) ) )).++fof(act2_formula828,axiom,(+ ! [X] :+ ( ( q15(X)+ & kaon2namedobjects(X) )+ => hascolor(X,X) ) )).++fof(act2_formula829,axiom,(+ ! [X] :+ ( ( wine(X)+ & kaon2namedobjects(X) )+ => hascolor(X,X) ) )).++fof(act2_formula830,axiom,(+ ! [X] :+ ( ( q12(X)+ & kaon2namedobjects(X) )+ => hascolor(X,X) ) )).++fof(act2_formula831,axiom,(+ ! [Y,X_1,X] :+ ( ( hascolor(Y,X_1)+ & kaon2equal(X,Y) )+ => hascolor(X,X_1) ) )).++fof(act2_formula832,axiom,(+ ! [X_0,Y,X] :+ ( ( hascolor(X_0,Y)+ & kaon2equal(X,Y) )+ => hascolor(X_0,X) ) )).++fof(act2_formula833,axiom,(+ ! [X] :+ ( ( q4(X)+ & kaon2namedobjects(X) )+ => hasflavor(X,X) ) )).++fof(act2_formula834,axiom,(+ ! [X] :+ ( ( q11(X)+ & kaon2namedobjects(X) )+ => hasflavor(X,X) ) )).++fof(act2_formula835,axiom,(+ ! [X] :+ ( ( q20(X)+ & kaon2namedobjects(X) )+ => hasflavor(X,X) ) )).++fof(act2_formula836,axiom,(+ ! [X] :+ ( ( wine(X)+ & kaon2namedobjects(X) )+ => hasflavor(X,X) ) )).++fof(act2_formula837,axiom,(+ ! [Y,X_1,X] :+ ( ( hasflavor(Y,X_1)+ & kaon2equal(X,Y) )+ => hasflavor(X,X_1) ) )).++fof(act2_formula838,axiom,(+ ! [X_0,Y,X] :+ ( ( hasflavor(X_0,Y)+ & kaon2equal(X,Y) )+ => hasflavor(X_0,X) ) )).++fof(act2_formula839,axiom,(+ ! [X,Y] :+ ( produceswine(X,Y)+ => hasmaker(Y,X) ) )).++fof(act2_formula840,axiom,(+ ! [X] :+ ( ( wine(X)+ & kaon2namedobjects(X) )+ => hasmaker(X,X) ) )).++fof(act2_formula841,axiom,(+ ! [Y,X_1,X] :+ ( ( hasmaker(Y,X_1)+ & kaon2equal(X,Y) )+ => hasmaker(X,X_1) ) )).++fof(act2_formula842,axiom,(+ ! [X_0,Y,X] :+ ( ( hasmaker(X_0,Y)+ & kaon2equal(X,Y) )+ => hasmaker(X_0,X) ) )).++fof(act2_formula843,axiom,(+ ! [X] :+ ( ( wine(X)+ & kaon2namedobjects(X) )+ => hassugar(X,X) ) )).++fof(act2_formula844,axiom,(+ ! [X] :+ ( ( q31(X)+ & kaon2namedobjects(X) )+ => hassugar(X,X) ) )).++fof(act2_formula845,axiom,(+ ! [X] :+ ( ( whitewine(X)+ & kaon2namedobjects(X) )+ => hassugar(X,X) ) )).++fof(act2_formula846,axiom,(+ ! [X] :+ ( ( q70(X)+ & kaon2namedobjects(X) )+ => hassugar(X,X) ) )).++fof(act2_formula847,axiom,(+ ! [X] :+ ( ( q32(X)+ & kaon2namedobjects(X) )+ => hassugar(X,X) ) )).++fof(act2_formula848,axiom,(+ ! [Y,X_1,X] :+ ( ( hassugar(Y,X_1)+ & kaon2equal(X,Y) )+ => hassugar(X,X_1) ) )).++fof(act2_formula849,axiom,(+ ! [X_0,Y,X] :+ ( ( hassugar(X_0,Y)+ & kaon2equal(X,Y) )+ => hassugar(X_0,X) ) )).++fof(act2_formula850,axiom,(+ ! [X] :+ ( ( vintage(X)+ & kaon2namedobjects(X) )+ => hasvintageyear(X,X) ) )).++fof(act2_formula851,axiom,(+ ! [Y,X_1,X] :+ ( ( hasvintageyear(Y,X_1)+ & kaon2equal(X,Y) )+ => hasvintageyear(X,X_1) ) )).++fof(act2_formula852,axiom,(+ ! [X_0,Y,X] :+ ( ( hasvintageyear(X_0,Y)+ & kaon2equal(X,Y) )+ => hasvintageyear(X_0,X) ) )).++fof(act2_formula853,axiom,(+ ! [X,Y] :+ ( hasbody(X,Y)+ => haswinedescriptor(X,Y) ) )).++fof(act2_formula854,axiom,(+ ! [X,Y] :+ ( hascolor(X,Y)+ => haswinedescriptor(X,Y) ) )).++fof(act2_formula855,axiom,(+ ! [X,Y] :+ ( hasflavor(X,Y)+ => haswinedescriptor(X,Y) ) )).++fof(act2_formula856,axiom,(+ ! [X,Y] :+ ( hassugar(X,Y)+ => haswinedescriptor(X,Y) ) )).++fof(act2_formula857,axiom,(+ ! [Y,X_1,X] :+ ( ( haswinedescriptor(Y,X_1)+ & kaon2equal(X,Y) )+ => haswinedescriptor(X,X_1) ) )).++fof(act2_formula858,axiom,(+ ! [X_0,Y,X] :+ ( ( haswinedescriptor(X_0,Y)+ & kaon2equal(X,Y) )+ => haswinedescriptor(X_0,X) ) )).++fof(act2_formula859,axiom,(+ ! [X] :+ ( ( q57(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula860,axiom,(+ ! [X] :+ ( ( q37(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula861,axiom,(+ ! [X] :+ ( ( q61(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula862,axiom,(+ ! [X] :+ ( ( q59(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula863,axiom,(+ ! [X] :+ ( ( q33(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula864,axiom,(+ ! [X] :+ ( ( wine(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula865,axiom,(+ ! [X] :+ ( ( q18(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula866,axiom,(+ ! [X] :+ ( ( q49(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula867,axiom,(+ ! [X] :+ ( ( q42(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula868,axiom,(+ ! [X] :+ ( ( q9(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula869,axiom,(+ ! [X] :+ ( ( q22(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula870,axiom,(+ ! [X] :+ ( ( chianti(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula871,axiom,(+ ! [X] :+ ( ( port(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula872,axiom,(+ ! [X] :+ ( ( q26(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula873,axiom,(+ ! [X] :+ ( ( q51(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula874,axiom,(+ ! [X] :+ ( ( q55(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula875,axiom,(+ ! [X] :+ ( ( q16(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula876,axiom,(+ ! [X] :+ ( ( q73(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula877,axiom,(+ ! [X] :+ ( ( q29(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula878,axiom,(+ ! [X] :+ ( ( q1(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula879,axiom,(+ ! [X] :+ ( ( q47(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula880,axiom,(+ ! [X] :+ ( ( q39(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula881,axiom,(+ ! [X] :+ ( ( q64(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula882,axiom,(+ ! [X] :+ ( ( sauternes(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula883,axiom,(+ ! [X] :+ ( ( q66(X)+ & kaon2namedobjects(X) )+ => locatedin(X,X) ) )).++fof(act2_formula884,axiom,(+ ! [Y,X_1,X] :+ ( ( locatedin(Y,X_1)+ & kaon2equal(X,Y) )+ => locatedin(X,X_1) ) )).++fof(act2_formula885,axiom,(+ ! [X_0,Y,X] :+ ( ( locatedin(X_0,Y)+ & kaon2equal(X,Y) )+ => locatedin(X_0,X) ) )).++fof(act2_formula886,axiom,(+ ! [X,Y,Z] :+ ( ( locatedin(X,Y)+ & locatedin(Y,Z) )+ => locatedin(X,Z) ) )).++fof(act2_formula887,axiom,(+ ! [X,Y,Z] :+ ( ( locatedin(X,Y)+ & locatedin(Y,Z)+ & kaon2namedobjects(Z)+ & kaon2namedobjects(Y)+ & kaon2namedobjects(X) )+ => locatedin(X,Z) ) )).++fof(act2_formula888,axiom,(+ ! [X,Y] :+ ( madefromgrape(X,Y)+ => madefromfruit(X,Y) ) )).++fof(act2_formula889,axiom,(+ ! [Y,X_1,X] :+ ( ( madefromfruit(Y,X_1)+ & kaon2equal(X,Y) )+ => madefromfruit(X,X_1) ) )).++fof(act2_formula890,axiom,(+ ! [X_0,Y,X] :+ ( ( madefromfruit(X_0,Y)+ & kaon2equal(X,Y) )+ => madefromfruit(X_0,X) ) )).++fof(act2_formula891,axiom,(+ ! [X,Y] :+ ( madeintowine(X,Y)+ => madefromgrape(Y,X) ) )).++fof(act2_formula892,axiom,(+ ! [X] :+ ( ( riesling(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula893,axiom,(+ ! [X] :+ ( ( wine(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula894,axiom,(+ ! [X] :+ ( ( q72(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula895,axiom,(+ ! [X] :+ ( ( q5(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula896,axiom,(+ ! [X] :+ ( ( semillon(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula897,axiom,(+ ! [X] :+ ( ( q14(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula898,axiom,(+ ! [X] :+ ( ( q24(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula899,axiom,(+ ! [X] :+ ( ( q5(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula900,axiom,(+ ! [X] :+ ( ( zinfandel(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula901,axiom,(+ ! [X] :+ ( ( q6(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula902,axiom,(+ ! [X] :+ ( ( petitesyrah(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula903,axiom,(+ ! [X] :+ ( ( q13(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula904,axiom,(+ ! [X] :+ ( ( chianti(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula905,axiom,(+ ! [X] :+ ( ( cabernetfranc(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula906,axiom,(+ ! [X] :+ ( ( q69(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula907,axiom,(+ ! [X] :+ ( ( q44(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula908,axiom,(+ ! [X] :+ ( ( q63(X)+ & kaon2namedobjects(X) )+ => madefromgrape(X,X) ) )).++fof(act2_formula909,axiom,(+ ! [Y,X_1,X] :+ ( ( madefromgrape(Y,X_1)+ & kaon2equal(X,Y) )+ => madefromgrape(X,X_1) ) )).++fof(act2_formula910,axiom,(+ ! [X_0,Y,X] :+ ( ( madefromgrape(X_0,Y)+ & kaon2equal(X,Y) )+ => madefromgrape(X_0,X) ) )).++fof(act2_formula911,axiom,(+ ! [X,Y] :+ ( madefromgrape(X,Y)+ => madeintowine(Y,X) ) )).++fof(act2_formula912,axiom,(+ ! [Y,X_1,X] :+ ( ( madeintowine(Y,X_1)+ & kaon2equal(X,Y) )+ => madeintowine(X,X_1) ) )).++fof(act2_formula913,axiom,(+ ! [X_0,Y,X] :+ ( ( madeintowine(X_0,Y)+ & kaon2equal(X,Y) )+ => madeintowine(X_0,X) ) )).++fof(act2_formula914,axiom,(+ ! [X,Y] :+ ( hasmaker(X,Y)+ => produceswine(Y,X) ) )).++fof(act2_formula915,axiom,(+ ! [Y,X_1,X] :+ ( ( produceswine(Y,X_1)+ & kaon2equal(X,Y) )+ => produceswine(X,X_1) ) )).++fof(act2_formula916,axiom,(+ ! [X_0,Y,X] :+ ( ( produceswine(X_0,Y)+ & kaon2equal(X,Y) )+ => produceswine(X_0,X) ) )).++fof(act2_formula917,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula918,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula919,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula920,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula921,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula922,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula923,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula924,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula925,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula926,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula927,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula928,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula929,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula930,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula931,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula932,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula933,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula934,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula935,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula936,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula937,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula938,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula939,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula940,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula941,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula942,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula943,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula944,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula945,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula946,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula947,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula948,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula949,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula950,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula951,axiom,(+ ! [X] :+ ( kaon2namedobjects(X)+ => kaon2hu(X) ) )).++fof(act2_formula952,axiom,(+ ! [X] :+ ( kaon2hu(X)+ => kaon2equal(X,X) ) )).++fof(act2_formula953,axiom,(+ ! [X,Y1,Y2] :+ ( ( hasflavor(X,Y1)+ & hasflavor(X,Y2) )+ => kaon2equal(Y1,Y2) ) )).++fof(act2_formula954,axiom,(+ ! [X,Y1,Y2] :+ ( ( hassugar(X,Y1)+ & hassugar(X,Y2) )+ => kaon2equal(Y1,Y2) ) )).++fof(act2_formula955,axiom,(+ ! [X,Y1,Y2] :+ ( ( hasvintageyear(X,Y1)+ & hasvintageyear(X,Y2) )+ => kaon2equal(Y1,Y2) ) )).++fof(act2_formula956,axiom,(+ ! [X,Y1,Y2] :+ ( ( hascolor(X,Y1)+ & hascolor(X,Y2) )+ => kaon2equal(Y1,Y2) ) )).++fof(act2_formula957,axiom,(+ ! [X,Y1,Y2] :+ ( ( hasmaker(X,Y1)+ & hasmaker(X,Y2) )+ => kaon2equal(Y1,Y2) ) )).++fof(act2_formula958,axiom,(+ ! [X,Y1,Y2] :+ ( ( hasbody(X,Y1)+ & hasbody(X,Y2) )+ => kaon2equal(Y1,Y2) ) )).++fof(act2_formula959,axiom,(+ ! [X,Y1,Y2] :+ ( ( q3(X)+ & madefromgrape(X,Y1)+ & madefromgrape(X,Y2) )+ => kaon2equal(Y1,Y2) ) )).++fof(act2_formula960,axiom,(+ ! [X,Y] :+ ( ( kaon2hu(X)+ & kaon2hu(Y)+ & kaon2equal(Y,X) )+ => kaon2equal(X,Y) ) )).++fof(act2_formula961,axiom,(+ ! [X,Y,Z] :+ ( ( kaon2equal(X,Y)+ & kaon2equal(Y,Z)+ & kaon2hu(X)+ & kaon2hu(Y)+ & kaon2hu(Z) )+ => kaon2equal(X,Z) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/PUZ005+0.ax view
@@ -0,0 +1,4664 @@+%------------------------------------------------------------------------------+% File : PUZ005+0 : TPTP v7.2.0. Released v3.2.0.+% Domain : Puzzles (Sudoku)+% Axioms : Sudoku axioms+% Version : [Hil06] axioms : Especial.+% English :++% Refs : [Hil06] Hillenbrand (2006), Email to G. Sutcliffe+% Source : [Hil06]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 353 ( 1 unit)+% Number of atoms : 3925 (3924 equality)+% Maximal formula depth : 37 ( 11 average)+% Number of connectives : 4580 (1008 ~ ;2592 |; 980 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 2-81 arity)+% Number of functors : 10 ( 9 constant; 0-2 arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 2 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Lower cardinality bound+fof(ax1,axiom,+ ( n1 != n2+ & n1 != n3+ & n1 != n4+ & n1 != n5+ & n1 != n6+ & n1 != n7+ & n1 != n8+ & n1 != n9+ & n2 != n3+ & n2 != n4+ & n2 != n5+ & n2 != n6+ & n2 != n7+ & n2 != n8+ & n2 != n9+ & n3 != n4+ & n3 != n5+ & n3 != n6+ & n3 != n7+ & n3 != n8+ & n3 != n9+ & n4 != n5+ & n4 != n6+ & n4 != n7+ & n4 != n8+ & n4 != n9+ & n5 != n6+ & n5 != n7+ & n5 != n8+ & n5 != n9+ & n6 != n7+ & n6 != n8+ & n6 != n9+ & n7 != n8+ & n7 != n9+ & n8 != n9 )).++%----Row constraints+fof(ax2,axiom,+ ( ssA(n1,n1) = n1+ | ssA(n1,n2) = n1+ | ssA(n1,n3) = n1+ | ssA(n1,n4) = n1+ | ssA(n1,n5) = n1+ | ssA(n1,n6) = n1+ | ssA(n1,n7) = n1+ | ssA(n1,n8) = n1+ | ssA(n1,n9) = n1 )).++fof(ax3,axiom,+ ( ssA(n1,n1) = n2+ | ssA(n1,n2) = n2+ | ssA(n1,n3) = n2+ | ssA(n1,n4) = n2+ | ssA(n1,n5) = n2+ | ssA(n1,n6) = n2+ | ssA(n1,n7) = n2+ | ssA(n1,n8) = n2+ | ssA(n1,n9) = n2 )).++fof(ax4,axiom,+ ( ssA(n1,n1) = n3+ | ssA(n1,n2) = n3+ | ssA(n1,n3) = n3+ | ssA(n1,n4) = n3+ | ssA(n1,n5) = n3+ | ssA(n1,n6) = n3+ | ssA(n1,n7) = n3+ | ssA(n1,n8) = n3+ | ssA(n1,n9) = n3 )).++fof(ax5,axiom,+ ( ssA(n1,n1) = n4+ | ssA(n1,n2) = n4+ | ssA(n1,n3) = n4+ | ssA(n1,n4) = n4+ | ssA(n1,n5) = n4+ | ssA(n1,n6) = n4+ | ssA(n1,n7) = n4+ | ssA(n1,n8) = n4+ | ssA(n1,n9) = n4 )).++fof(ax6,axiom,+ ( ssA(n1,n1) = n5+ | ssA(n1,n2) = n5+ | ssA(n1,n3) = n5+ | ssA(n1,n4) = n5+ | ssA(n1,n5) = n5+ | ssA(n1,n6) = n5+ | ssA(n1,n7) = n5+ | ssA(n1,n8) = n5+ | ssA(n1,n9) = n5 )).++fof(ax7,axiom,+ ( ssA(n1,n1) = n6+ | ssA(n1,n2) = n6+ | ssA(n1,n3) = n6+ | ssA(n1,n4) = n6+ | ssA(n1,n5) = n6+ | ssA(n1,n6) = n6+ | ssA(n1,n7) = n6+ | ssA(n1,n8) = n6+ | ssA(n1,n9) = n6 )).++fof(ax8,axiom,+ ( ssA(n1,n1) = n7+ | ssA(n1,n2) = n7+ | ssA(n1,n3) = n7+ | ssA(n1,n4) = n7+ | ssA(n1,n5) = n7+ | ssA(n1,n6) = n7+ | ssA(n1,n7) = n7+ | ssA(n1,n8) = n7+ | ssA(n1,n9) = n7 )).++fof(ax9,axiom,+ ( ssA(n1,n1) = n8+ | ssA(n1,n2) = n8+ | ssA(n1,n3) = n8+ | ssA(n1,n4) = n8+ | ssA(n1,n5) = n8+ | ssA(n1,n6) = n8+ | ssA(n1,n7) = n8+ | ssA(n1,n8) = n8+ | ssA(n1,n9) = n8 )).++fof(ax10,axiom,+ ( ssA(n1,n1) = n9+ | ssA(n1,n2) = n9+ | ssA(n1,n3) = n9+ | ssA(n1,n4) = n9+ | ssA(n1,n5) = n9+ | ssA(n1,n6) = n9+ | ssA(n1,n7) = n9+ | ssA(n1,n8) = n9+ | ssA(n1,n9) = n9 )).++fof(ax11,axiom,+ ( ssA(n1,n1) != ssA(n1,n2)+ & ssA(n1,n1) != ssA(n1,n3)+ & ssA(n1,n1) != ssA(n1,n4)+ & ssA(n1,n1) != ssA(n1,n5)+ & ssA(n1,n1) != ssA(n1,n6)+ & ssA(n1,n1) != ssA(n1,n7)+ & ssA(n1,n1) != ssA(n1,n8)+ & ssA(n1,n1) != ssA(n1,n9)+ & ssA(n1,n2) != ssA(n1,n3)+ & ssA(n1,n2) != ssA(n1,n4)+ & ssA(n1,n2) != ssA(n1,n5)+ & ssA(n1,n2) != ssA(n1,n6)+ & ssA(n1,n2) != ssA(n1,n7)+ & ssA(n1,n2) != ssA(n1,n8)+ & ssA(n1,n2) != ssA(n1,n9)+ & ssA(n1,n3) != ssA(n1,n4)+ & ssA(n1,n3) != ssA(n1,n5)+ & ssA(n1,n3) != ssA(n1,n6)+ & ssA(n1,n3) != ssA(n1,n7)+ & ssA(n1,n3) != ssA(n1,n8)+ & ssA(n1,n3) != ssA(n1,n9)+ & ssA(n1,n4) != ssA(n1,n5)+ & ssA(n1,n4) != ssA(n1,n6)+ & ssA(n1,n4) != ssA(n1,n7)+ & ssA(n1,n4) != ssA(n1,n8)+ & ssA(n1,n4) != ssA(n1,n9)+ & ssA(n1,n5) != ssA(n1,n6)+ & ssA(n1,n5) != ssA(n1,n7)+ & ssA(n1,n5) != ssA(n1,n8)+ & ssA(n1,n5) != ssA(n1,n9)+ & ssA(n1,n6) != ssA(n1,n7)+ & ssA(n1,n6) != ssA(n1,n8)+ & ssA(n1,n6) != ssA(n1,n9)+ & ssA(n1,n7) != ssA(n1,n8)+ & ssA(n1,n7) != ssA(n1,n9)+ & ssA(n1,n8) != ssA(n1,n9) )).++fof(ax12,axiom,+ ( ssA(n2,n1) = n1+ | ssA(n2,n2) = n1+ | ssA(n2,n3) = n1+ | ssA(n2,n4) = n1+ | ssA(n2,n5) = n1+ | ssA(n2,n6) = n1+ | ssA(n2,n7) = n1+ | ssA(n2,n8) = n1+ | ssA(n2,n9) = n1 )).++fof(ax13,axiom,+ ( ssA(n2,n1) = n2+ | ssA(n2,n2) = n2+ | ssA(n2,n3) = n2+ | ssA(n2,n4) = n2+ | ssA(n2,n5) = n2+ | ssA(n2,n6) = n2+ | ssA(n2,n7) = n2+ | ssA(n2,n8) = n2+ | ssA(n2,n9) = n2 )).++fof(ax14,axiom,+ ( ssA(n2,n1) = n3+ | ssA(n2,n2) = n3+ | ssA(n2,n3) = n3+ | ssA(n2,n4) = n3+ | ssA(n2,n5) = n3+ | ssA(n2,n6) = n3+ | ssA(n2,n7) = n3+ | ssA(n2,n8) = n3+ | ssA(n2,n9) = n3 )).++fof(ax15,axiom,+ ( ssA(n2,n1) = n4+ | ssA(n2,n2) = n4+ | ssA(n2,n3) = n4+ | ssA(n2,n4) = n4+ | ssA(n2,n5) = n4+ | ssA(n2,n6) = n4+ | ssA(n2,n7) = n4+ | ssA(n2,n8) = n4+ | ssA(n2,n9) = n4 )).++fof(ax16,axiom,+ ( ssA(n2,n1) = n5+ | ssA(n2,n2) = n5+ | ssA(n2,n3) = n5+ | ssA(n2,n4) = n5+ | ssA(n2,n5) = n5+ | ssA(n2,n6) = n5+ | ssA(n2,n7) = n5+ | ssA(n2,n8) = n5+ | ssA(n2,n9) = n5 )).++fof(ax17,axiom,+ ( ssA(n2,n1) = n6+ | ssA(n2,n2) = n6+ | ssA(n2,n3) = n6+ | ssA(n2,n4) = n6+ | ssA(n2,n5) = n6+ | ssA(n2,n6) = n6+ | ssA(n2,n7) = n6+ | ssA(n2,n8) = n6+ | ssA(n2,n9) = n6 )).++fof(ax18,axiom,+ ( ssA(n2,n1) = n7+ | ssA(n2,n2) = n7+ | ssA(n2,n3) = n7+ | ssA(n2,n4) = n7+ | ssA(n2,n5) = n7+ | ssA(n2,n6) = n7+ | ssA(n2,n7) = n7+ | ssA(n2,n8) = n7+ | ssA(n2,n9) = n7 )).++fof(ax19,axiom,+ ( ssA(n2,n1) = n8+ | ssA(n2,n2) = n8+ | ssA(n2,n3) = n8+ | ssA(n2,n4) = n8+ | ssA(n2,n5) = n8+ | ssA(n2,n6) = n8+ | ssA(n2,n7) = n8+ | ssA(n2,n8) = n8+ | ssA(n2,n9) = n8 )).++fof(ax20,axiom,+ ( ssA(n2,n1) = n9+ | ssA(n2,n2) = n9+ | ssA(n2,n3) = n9+ | ssA(n2,n4) = n9+ | ssA(n2,n5) = n9+ | ssA(n2,n6) = n9+ | ssA(n2,n7) = n9+ | ssA(n2,n8) = n9+ | ssA(n2,n9) = n9 )).++fof(ax21,axiom,+ ( ssA(n2,n1) != ssA(n2,n2)+ & ssA(n2,n1) != ssA(n2,n3)+ & ssA(n2,n1) != ssA(n2,n4)+ & ssA(n2,n1) != ssA(n2,n5)+ & ssA(n2,n1) != ssA(n2,n6)+ & ssA(n2,n1) != ssA(n2,n7)+ & ssA(n2,n1) != ssA(n2,n8)+ & ssA(n2,n1) != ssA(n2,n9)+ & ssA(n2,n2) != ssA(n2,n3)+ & ssA(n2,n2) != ssA(n2,n4)+ & ssA(n2,n2) != ssA(n2,n5)+ & ssA(n2,n2) != ssA(n2,n6)+ & ssA(n2,n2) != ssA(n2,n7)+ & ssA(n2,n2) != ssA(n2,n8)+ & ssA(n2,n2) != ssA(n2,n9)+ & ssA(n2,n3) != ssA(n2,n4)+ & ssA(n2,n3) != ssA(n2,n5)+ & ssA(n2,n3) != ssA(n2,n6)+ & ssA(n2,n3) != ssA(n2,n7)+ & ssA(n2,n3) != ssA(n2,n8)+ & ssA(n2,n3) != ssA(n2,n9)+ & ssA(n2,n4) != ssA(n2,n5)+ & ssA(n2,n4) != ssA(n2,n6)+ & ssA(n2,n4) != ssA(n2,n7)+ & ssA(n2,n4) != ssA(n2,n8)+ & ssA(n2,n4) != ssA(n2,n9)+ & ssA(n2,n5) != ssA(n2,n6)+ & ssA(n2,n5) != ssA(n2,n7)+ & ssA(n2,n5) != ssA(n2,n8)+ & ssA(n2,n5) != ssA(n2,n9)+ & ssA(n2,n6) != ssA(n2,n7)+ & ssA(n2,n6) != ssA(n2,n8)+ & ssA(n2,n6) != ssA(n2,n9)+ & ssA(n2,n7) != ssA(n2,n8)+ & ssA(n2,n7) != ssA(n2,n9)+ & ssA(n2,n8) != ssA(n2,n9) )).++fof(ax22,axiom,+ ( ssA(n3,n1) = n1+ | ssA(n3,n2) = n1+ | ssA(n3,n3) = n1+ | ssA(n3,n4) = n1+ | ssA(n3,n5) = n1+ | ssA(n3,n6) = n1+ | ssA(n3,n7) = n1+ | ssA(n3,n8) = n1+ | ssA(n3,n9) = n1 )).++fof(ax23,axiom,+ ( ssA(n3,n1) = n2+ | ssA(n3,n2) = n2+ | ssA(n3,n3) = n2+ | ssA(n3,n4) = n2+ | ssA(n3,n5) = n2+ | ssA(n3,n6) = n2+ | ssA(n3,n7) = n2+ | ssA(n3,n8) = n2+ | ssA(n3,n9) = n2 )).++fof(ax24,axiom,+ ( ssA(n3,n1) = n3+ | ssA(n3,n2) = n3+ | ssA(n3,n3) = n3+ | ssA(n3,n4) = n3+ | ssA(n3,n5) = n3+ | ssA(n3,n6) = n3+ | ssA(n3,n7) = n3+ | ssA(n3,n8) = n3+ | ssA(n3,n9) = n3 )).++fof(ax25,axiom,+ ( ssA(n3,n1) = n4+ | ssA(n3,n2) = n4+ | ssA(n3,n3) = n4+ | ssA(n3,n4) = n4+ | ssA(n3,n5) = n4+ | ssA(n3,n6) = n4+ | ssA(n3,n7) = n4+ | ssA(n3,n8) = n4+ | ssA(n3,n9) = n4 )).++fof(ax26,axiom,+ ( ssA(n3,n1) = n5+ | ssA(n3,n2) = n5+ | ssA(n3,n3) = n5+ | ssA(n3,n4) = n5+ | ssA(n3,n5) = n5+ | ssA(n3,n6) = n5+ | ssA(n3,n7) = n5+ | ssA(n3,n8) = n5+ | ssA(n3,n9) = n5 )).++fof(ax27,axiom,+ ( ssA(n3,n1) = n6+ | ssA(n3,n2) = n6+ | ssA(n3,n3) = n6+ | ssA(n3,n4) = n6+ | ssA(n3,n5) = n6+ | ssA(n3,n6) = n6+ | ssA(n3,n7) = n6+ | ssA(n3,n8) = n6+ | ssA(n3,n9) = n6 )).++fof(ax28,axiom,+ ( ssA(n3,n1) = n7+ | ssA(n3,n2) = n7+ | ssA(n3,n3) = n7+ | ssA(n3,n4) = n7+ | ssA(n3,n5) = n7+ | ssA(n3,n6) = n7+ | ssA(n3,n7) = n7+ | ssA(n3,n8) = n7+ | ssA(n3,n9) = n7 )).++fof(ax29,axiom,+ ( ssA(n3,n1) = n8+ | ssA(n3,n2) = n8+ | ssA(n3,n3) = n8+ | ssA(n3,n4) = n8+ | ssA(n3,n5) = n8+ | ssA(n3,n6) = n8+ | ssA(n3,n7) = n8+ | ssA(n3,n8) = n8+ | ssA(n3,n9) = n8 )).++fof(ax30,axiom,+ ( ssA(n3,n1) = n9+ | ssA(n3,n2) = n9+ | ssA(n3,n3) = n9+ | ssA(n3,n4) = n9+ | ssA(n3,n5) = n9+ | ssA(n3,n6) = n9+ | ssA(n3,n7) = n9+ | ssA(n3,n8) = n9+ | ssA(n3,n9) = n9 )).++fof(ax31,axiom,+ ( ssA(n3,n1) != ssA(n3,n2)+ & ssA(n3,n1) != ssA(n3,n3)+ & ssA(n3,n1) != ssA(n3,n4)+ & ssA(n3,n1) != ssA(n3,n5)+ & ssA(n3,n1) != ssA(n3,n6)+ & ssA(n3,n1) != ssA(n3,n7)+ & ssA(n3,n1) != ssA(n3,n8)+ & ssA(n3,n1) != ssA(n3,n9)+ & ssA(n3,n2) != ssA(n3,n3)+ & ssA(n3,n2) != ssA(n3,n4)+ & ssA(n3,n2) != ssA(n3,n5)+ & ssA(n3,n2) != ssA(n3,n6)+ & ssA(n3,n2) != ssA(n3,n7)+ & ssA(n3,n2) != ssA(n3,n8)+ & ssA(n3,n2) != ssA(n3,n9)+ & ssA(n3,n3) != ssA(n3,n4)+ & ssA(n3,n3) != ssA(n3,n5)+ & ssA(n3,n3) != ssA(n3,n6)+ & ssA(n3,n3) != ssA(n3,n7)+ & ssA(n3,n3) != ssA(n3,n8)+ & ssA(n3,n3) != ssA(n3,n9)+ & ssA(n3,n4) != ssA(n3,n5)+ & ssA(n3,n4) != ssA(n3,n6)+ & ssA(n3,n4) != ssA(n3,n7)+ & ssA(n3,n4) != ssA(n3,n8)+ & ssA(n3,n4) != ssA(n3,n9)+ & ssA(n3,n5) != ssA(n3,n6)+ & ssA(n3,n5) != ssA(n3,n7)+ & ssA(n3,n5) != ssA(n3,n8)+ & ssA(n3,n5) != ssA(n3,n9)+ & ssA(n3,n6) != ssA(n3,n7)+ & ssA(n3,n6) != ssA(n3,n8)+ & ssA(n3,n6) != ssA(n3,n9)+ & ssA(n3,n7) != ssA(n3,n8)+ & ssA(n3,n7) != ssA(n3,n9)+ & ssA(n3,n8) != ssA(n3,n9) )).++fof(ax32,axiom,+ ( ssA(n4,n1) = n1+ | ssA(n4,n2) = n1+ | ssA(n4,n3) = n1+ | ssA(n4,n4) = n1+ | ssA(n4,n5) = n1+ | ssA(n4,n6) = n1+ | ssA(n4,n7) = n1+ | ssA(n4,n8) = n1+ | ssA(n4,n9) = n1 )).++fof(ax33,axiom,+ ( ssA(n4,n1) = n2+ | ssA(n4,n2) = n2+ | ssA(n4,n3) = n2+ | ssA(n4,n4) = n2+ | ssA(n4,n5) = n2+ | ssA(n4,n6) = n2+ | ssA(n4,n7) = n2+ | ssA(n4,n8) = n2+ | ssA(n4,n9) = n2 )).++fof(ax34,axiom,+ ( ssA(n4,n1) = n3+ | ssA(n4,n2) = n3+ | ssA(n4,n3) = n3+ | ssA(n4,n4) = n3+ | ssA(n4,n5) = n3+ | ssA(n4,n6) = n3+ | ssA(n4,n7) = n3+ | ssA(n4,n8) = n3+ | ssA(n4,n9) = n3 )).++fof(ax35,axiom,+ ( ssA(n4,n1) = n4+ | ssA(n4,n2) = n4+ | ssA(n4,n3) = n4+ | ssA(n4,n4) = n4+ | ssA(n4,n5) = n4+ | ssA(n4,n6) = n4+ | ssA(n4,n7) = n4+ | ssA(n4,n8) = n4+ | ssA(n4,n9) = n4 )).++fof(ax36,axiom,+ ( ssA(n4,n1) = n5+ | ssA(n4,n2) = n5+ | ssA(n4,n3) = n5+ | ssA(n4,n4) = n5+ | ssA(n4,n5) = n5+ | ssA(n4,n6) = n5+ | ssA(n4,n7) = n5+ | ssA(n4,n8) = n5+ | ssA(n4,n9) = n5 )).++fof(ax37,axiom,+ ( ssA(n4,n1) = n6+ | ssA(n4,n2) = n6+ | ssA(n4,n3) = n6+ | ssA(n4,n4) = n6+ | ssA(n4,n5) = n6+ | ssA(n4,n6) = n6+ | ssA(n4,n7) = n6+ | ssA(n4,n8) = n6+ | ssA(n4,n9) = n6 )).++fof(ax38,axiom,+ ( ssA(n4,n1) = n7+ | ssA(n4,n2) = n7+ | ssA(n4,n3) = n7+ | ssA(n4,n4) = n7+ | ssA(n4,n5) = n7+ | ssA(n4,n6) = n7+ | ssA(n4,n7) = n7+ | ssA(n4,n8) = n7+ | ssA(n4,n9) = n7 )).++fof(ax39,axiom,+ ( ssA(n4,n1) = n8+ | ssA(n4,n2) = n8+ | ssA(n4,n3) = n8+ | ssA(n4,n4) = n8+ | ssA(n4,n5) = n8+ | ssA(n4,n6) = n8+ | ssA(n4,n7) = n8+ | ssA(n4,n8) = n8+ | ssA(n4,n9) = n8 )).++fof(ax40,axiom,+ ( ssA(n4,n1) = n9+ | ssA(n4,n2) = n9+ | ssA(n4,n3) = n9+ | ssA(n4,n4) = n9+ | ssA(n4,n5) = n9+ | ssA(n4,n6) = n9+ | ssA(n4,n7) = n9+ | ssA(n4,n8) = n9+ | ssA(n4,n9) = n9 )).++fof(ax41,axiom,+ ( ssA(n4,n1) != ssA(n4,n2)+ & ssA(n4,n1) != ssA(n4,n3)+ & ssA(n4,n1) != ssA(n4,n4)+ & ssA(n4,n1) != ssA(n4,n5)+ & ssA(n4,n1) != ssA(n4,n6)+ & ssA(n4,n1) != ssA(n4,n7)+ & ssA(n4,n1) != ssA(n4,n8)+ & ssA(n4,n1) != ssA(n4,n9)+ & ssA(n4,n2) != ssA(n4,n3)+ & ssA(n4,n2) != ssA(n4,n4)+ & ssA(n4,n2) != ssA(n4,n5)+ & ssA(n4,n2) != ssA(n4,n6)+ & ssA(n4,n2) != ssA(n4,n7)+ & ssA(n4,n2) != ssA(n4,n8)+ & ssA(n4,n2) != ssA(n4,n9)+ & ssA(n4,n3) != ssA(n4,n4)+ & ssA(n4,n3) != ssA(n4,n5)+ & ssA(n4,n3) != ssA(n4,n6)+ & ssA(n4,n3) != ssA(n4,n7)+ & ssA(n4,n3) != ssA(n4,n8)+ & ssA(n4,n3) != ssA(n4,n9)+ & ssA(n4,n4) != ssA(n4,n5)+ & ssA(n4,n4) != ssA(n4,n6)+ & ssA(n4,n4) != ssA(n4,n7)+ & ssA(n4,n4) != ssA(n4,n8)+ & ssA(n4,n4) != ssA(n4,n9)+ & ssA(n4,n5) != ssA(n4,n6)+ & ssA(n4,n5) != ssA(n4,n7)+ & ssA(n4,n5) != ssA(n4,n8)+ & ssA(n4,n5) != ssA(n4,n9)+ & ssA(n4,n6) != ssA(n4,n7)+ & ssA(n4,n6) != ssA(n4,n8)+ & ssA(n4,n6) != ssA(n4,n9)+ & ssA(n4,n7) != ssA(n4,n8)+ & ssA(n4,n7) != ssA(n4,n9)+ & ssA(n4,n8) != ssA(n4,n9) )).++fof(ax42,axiom,+ ( ssA(n5,n1) = n1+ | ssA(n5,n2) = n1+ | ssA(n5,n3) = n1+ | ssA(n5,n4) = n1+ | ssA(n5,n5) = n1+ | ssA(n5,n6) = n1+ | ssA(n5,n7) = n1+ | ssA(n5,n8) = n1+ | ssA(n5,n9) = n1 )).++fof(ax43,axiom,+ ( ssA(n5,n1) = n2+ | ssA(n5,n2) = n2+ | ssA(n5,n3) = n2+ | ssA(n5,n4) = n2+ | ssA(n5,n5) = n2+ | ssA(n5,n6) = n2+ | ssA(n5,n7) = n2+ | ssA(n5,n8) = n2+ | ssA(n5,n9) = n2 )).++fof(ax44,axiom,+ ( ssA(n5,n1) = n3+ | ssA(n5,n2) = n3+ | ssA(n5,n3) = n3+ | ssA(n5,n4) = n3+ | ssA(n5,n5) = n3+ | ssA(n5,n6) = n3+ | ssA(n5,n7) = n3+ | ssA(n5,n8) = n3+ | ssA(n5,n9) = n3 )).++fof(ax45,axiom,+ ( ssA(n5,n1) = n4+ | ssA(n5,n2) = n4+ | ssA(n5,n3) = n4+ | ssA(n5,n4) = n4+ | ssA(n5,n5) = n4+ | ssA(n5,n6) = n4+ | ssA(n5,n7) = n4+ | ssA(n5,n8) = n4+ | ssA(n5,n9) = n4 )).++fof(ax46,axiom,+ ( ssA(n5,n1) = n5+ | ssA(n5,n2) = n5+ | ssA(n5,n3) = n5+ | ssA(n5,n4) = n5+ | ssA(n5,n5) = n5+ | ssA(n5,n6) = n5+ | ssA(n5,n7) = n5+ | ssA(n5,n8) = n5+ | ssA(n5,n9) = n5 )).++fof(ax47,axiom,+ ( ssA(n5,n1) = n6+ | ssA(n5,n2) = n6+ | ssA(n5,n3) = n6+ | ssA(n5,n4) = n6+ | ssA(n5,n5) = n6+ | ssA(n5,n6) = n6+ | ssA(n5,n7) = n6+ | ssA(n5,n8) = n6+ | ssA(n5,n9) = n6 )).++fof(ax48,axiom,+ ( ssA(n5,n1) = n7+ | ssA(n5,n2) = n7+ | ssA(n5,n3) = n7+ | ssA(n5,n4) = n7+ | ssA(n5,n5) = n7+ | ssA(n5,n6) = n7+ | ssA(n5,n7) = n7+ | ssA(n5,n8) = n7+ | ssA(n5,n9) = n7 )).++fof(ax49,axiom,+ ( ssA(n5,n1) = n8+ | ssA(n5,n2) = n8+ | ssA(n5,n3) = n8+ | ssA(n5,n4) = n8+ | ssA(n5,n5) = n8+ | ssA(n5,n6) = n8+ | ssA(n5,n7) = n8+ | ssA(n5,n8) = n8+ | ssA(n5,n9) = n8 )).++fof(ax50,axiom,+ ( ssA(n5,n1) = n9+ | ssA(n5,n2) = n9+ | ssA(n5,n3) = n9+ | ssA(n5,n4) = n9+ | ssA(n5,n5) = n9+ | ssA(n5,n6) = n9+ | ssA(n5,n7) = n9+ | ssA(n5,n8) = n9+ | ssA(n5,n9) = n9 )).++fof(ax51,axiom,+ ( ssA(n5,n1) != ssA(n5,n2)+ & ssA(n5,n1) != ssA(n5,n3)+ & ssA(n5,n1) != ssA(n5,n4)+ & ssA(n5,n1) != ssA(n5,n5)+ & ssA(n5,n1) != ssA(n5,n6)+ & ssA(n5,n1) != ssA(n5,n7)+ & ssA(n5,n1) != ssA(n5,n8)+ & ssA(n5,n1) != ssA(n5,n9)+ & ssA(n5,n2) != ssA(n5,n3)+ & ssA(n5,n2) != ssA(n5,n4)+ & ssA(n5,n2) != ssA(n5,n5)+ & ssA(n5,n2) != ssA(n5,n6)+ & ssA(n5,n2) != ssA(n5,n7)+ & ssA(n5,n2) != ssA(n5,n8)+ & ssA(n5,n2) != ssA(n5,n9)+ & ssA(n5,n3) != ssA(n5,n4)+ & ssA(n5,n3) != ssA(n5,n5)+ & ssA(n5,n3) != ssA(n5,n6)+ & ssA(n5,n3) != ssA(n5,n7)+ & ssA(n5,n3) != ssA(n5,n8)+ & ssA(n5,n3) != ssA(n5,n9)+ & ssA(n5,n4) != ssA(n5,n5)+ & ssA(n5,n4) != ssA(n5,n6)+ & ssA(n5,n4) != ssA(n5,n7)+ & ssA(n5,n4) != ssA(n5,n8)+ & ssA(n5,n4) != ssA(n5,n9)+ & ssA(n5,n5) != ssA(n5,n6)+ & ssA(n5,n5) != ssA(n5,n7)+ & ssA(n5,n5) != ssA(n5,n8)+ & ssA(n5,n5) != ssA(n5,n9)+ & ssA(n5,n6) != ssA(n5,n7)+ & ssA(n5,n6) != ssA(n5,n8)+ & ssA(n5,n6) != ssA(n5,n9)+ & ssA(n5,n7) != ssA(n5,n8)+ & ssA(n5,n7) != ssA(n5,n9)+ & ssA(n5,n8) != ssA(n5,n9) )).++fof(ax52,axiom,+ ( ssA(n6,n1) = n1+ | ssA(n6,n2) = n1+ | ssA(n6,n3) = n1+ | ssA(n6,n4) = n1+ | ssA(n6,n5) = n1+ | ssA(n6,n6) = n1+ | ssA(n6,n7) = n1+ | ssA(n6,n8) = n1+ | ssA(n6,n9) = n1 )).++fof(ax53,axiom,+ ( ssA(n6,n1) = n2+ | ssA(n6,n2) = n2+ | ssA(n6,n3) = n2+ | ssA(n6,n4) = n2+ | ssA(n6,n5) = n2+ | ssA(n6,n6) = n2+ | ssA(n6,n7) = n2+ | ssA(n6,n8) = n2+ | ssA(n6,n9) = n2 )).++fof(ax54,axiom,+ ( ssA(n6,n1) = n3+ | ssA(n6,n2) = n3+ | ssA(n6,n3) = n3+ | ssA(n6,n4) = n3+ | ssA(n6,n5) = n3+ | ssA(n6,n6) = n3+ | ssA(n6,n7) = n3+ | ssA(n6,n8) = n3+ | ssA(n6,n9) = n3 )).++fof(ax55,axiom,+ ( ssA(n6,n1) = n4+ | ssA(n6,n2) = n4+ | ssA(n6,n3) = n4+ | ssA(n6,n4) = n4+ | ssA(n6,n5) = n4+ | ssA(n6,n6) = n4+ | ssA(n6,n7) = n4+ | ssA(n6,n8) = n4+ | ssA(n6,n9) = n4 )).++fof(ax56,axiom,+ ( ssA(n6,n1) = n5+ | ssA(n6,n2) = n5+ | ssA(n6,n3) = n5+ | ssA(n6,n4) = n5+ | ssA(n6,n5) = n5+ | ssA(n6,n6) = n5+ | ssA(n6,n7) = n5+ | ssA(n6,n8) = n5+ | ssA(n6,n9) = n5 )).++fof(ax57,axiom,+ ( ssA(n6,n1) = n6+ | ssA(n6,n2) = n6+ | ssA(n6,n3) = n6+ | ssA(n6,n4) = n6+ | ssA(n6,n5) = n6+ | ssA(n6,n6) = n6+ | ssA(n6,n7) = n6+ | ssA(n6,n8) = n6+ | ssA(n6,n9) = n6 )).++fof(ax58,axiom,+ ( ssA(n6,n1) = n7+ | ssA(n6,n2) = n7+ | ssA(n6,n3) = n7+ | ssA(n6,n4) = n7+ | ssA(n6,n5) = n7+ | ssA(n6,n6) = n7+ | ssA(n6,n7) = n7+ | ssA(n6,n8) = n7+ | ssA(n6,n9) = n7 )).++fof(ax59,axiom,+ ( ssA(n6,n1) = n8+ | ssA(n6,n2) = n8+ | ssA(n6,n3) = n8+ | ssA(n6,n4) = n8+ | ssA(n6,n5) = n8+ | ssA(n6,n6) = n8+ | ssA(n6,n7) = n8+ | ssA(n6,n8) = n8+ | ssA(n6,n9) = n8 )).++fof(ax60,axiom,+ ( ssA(n6,n1) = n9+ | ssA(n6,n2) = n9+ | ssA(n6,n3) = n9+ | ssA(n6,n4) = n9+ | ssA(n6,n5) = n9+ | ssA(n6,n6) = n9+ | ssA(n6,n7) = n9+ | ssA(n6,n8) = n9+ | ssA(n6,n9) = n9 )).++fof(ax61,axiom,+ ( ssA(n6,n1) != ssA(n6,n2)+ & ssA(n6,n1) != ssA(n6,n3)+ & ssA(n6,n1) != ssA(n6,n4)+ & ssA(n6,n1) != ssA(n6,n5)+ & ssA(n6,n1) != ssA(n6,n6)+ & ssA(n6,n1) != ssA(n6,n7)+ & ssA(n6,n1) != ssA(n6,n8)+ & ssA(n6,n1) != ssA(n6,n9)+ & ssA(n6,n2) != ssA(n6,n3)+ & ssA(n6,n2) != ssA(n6,n4)+ & ssA(n6,n2) != ssA(n6,n5)+ & ssA(n6,n2) != ssA(n6,n6)+ & ssA(n6,n2) != ssA(n6,n7)+ & ssA(n6,n2) != ssA(n6,n8)+ & ssA(n6,n2) != ssA(n6,n9)+ & ssA(n6,n3) != ssA(n6,n4)+ & ssA(n6,n3) != ssA(n6,n5)+ & ssA(n6,n3) != ssA(n6,n6)+ & ssA(n6,n3) != ssA(n6,n7)+ & ssA(n6,n3) != ssA(n6,n8)+ & ssA(n6,n3) != ssA(n6,n9)+ & ssA(n6,n4) != ssA(n6,n5)+ & ssA(n6,n4) != ssA(n6,n6)+ & ssA(n6,n4) != ssA(n6,n7)+ & ssA(n6,n4) != ssA(n6,n8)+ & ssA(n6,n4) != ssA(n6,n9)+ & ssA(n6,n5) != ssA(n6,n6)+ & ssA(n6,n5) != ssA(n6,n7)+ & ssA(n6,n5) != ssA(n6,n8)+ & ssA(n6,n5) != ssA(n6,n9)+ & ssA(n6,n6) != ssA(n6,n7)+ & ssA(n6,n6) != ssA(n6,n8)+ & ssA(n6,n6) != ssA(n6,n9)+ & ssA(n6,n7) != ssA(n6,n8)+ & ssA(n6,n7) != ssA(n6,n9)+ & ssA(n6,n8) != ssA(n6,n9) )).++fof(ax62,axiom,+ ( ssA(n7,n1) = n1+ | ssA(n7,n2) = n1+ | ssA(n7,n3) = n1+ | ssA(n7,n4) = n1+ | ssA(n7,n5) = n1+ | ssA(n7,n6) = n1+ | ssA(n7,n7) = n1+ | ssA(n7,n8) = n1+ | ssA(n7,n9) = n1 )).++fof(ax63,axiom,+ ( ssA(n7,n1) = n2+ | ssA(n7,n2) = n2+ | ssA(n7,n3) = n2+ | ssA(n7,n4) = n2+ | ssA(n7,n5) = n2+ | ssA(n7,n6) = n2+ | ssA(n7,n7) = n2+ | ssA(n7,n8) = n2+ | ssA(n7,n9) = n2 )).++fof(ax64,axiom,+ ( ssA(n7,n1) = n3+ | ssA(n7,n2) = n3+ | ssA(n7,n3) = n3+ | ssA(n7,n4) = n3+ | ssA(n7,n5) = n3+ | ssA(n7,n6) = n3+ | ssA(n7,n7) = n3+ | ssA(n7,n8) = n3+ | ssA(n7,n9) = n3 )).++fof(ax65,axiom,+ ( ssA(n7,n1) = n4+ | ssA(n7,n2) = n4+ | ssA(n7,n3) = n4+ | ssA(n7,n4) = n4+ | ssA(n7,n5) = n4+ | ssA(n7,n6) = n4+ | ssA(n7,n7) = n4+ | ssA(n7,n8) = n4+ | ssA(n7,n9) = n4 )).++fof(ax66,axiom,+ ( ssA(n7,n1) = n5+ | ssA(n7,n2) = n5+ | ssA(n7,n3) = n5+ | ssA(n7,n4) = n5+ | ssA(n7,n5) = n5+ | ssA(n7,n6) = n5+ | ssA(n7,n7) = n5+ | ssA(n7,n8) = n5+ | ssA(n7,n9) = n5 )).++fof(ax67,axiom,+ ( ssA(n7,n1) = n6+ | ssA(n7,n2) = n6+ | ssA(n7,n3) = n6+ | ssA(n7,n4) = n6+ | ssA(n7,n5) = n6+ | ssA(n7,n6) = n6+ | ssA(n7,n7) = n6+ | ssA(n7,n8) = n6+ | ssA(n7,n9) = n6 )).++fof(ax68,axiom,+ ( ssA(n7,n1) = n7+ | ssA(n7,n2) = n7+ | ssA(n7,n3) = n7+ | ssA(n7,n4) = n7+ | ssA(n7,n5) = n7+ | ssA(n7,n6) = n7+ | ssA(n7,n7) = n7+ | ssA(n7,n8) = n7+ | ssA(n7,n9) = n7 )).++fof(ax69,axiom,+ ( ssA(n7,n1) = n8+ | ssA(n7,n2) = n8+ | ssA(n7,n3) = n8+ | ssA(n7,n4) = n8+ | ssA(n7,n5) = n8+ | ssA(n7,n6) = n8+ | ssA(n7,n7) = n8+ | ssA(n7,n8) = n8+ | ssA(n7,n9) = n8 )).++fof(ax70,axiom,+ ( ssA(n7,n1) = n9+ | ssA(n7,n2) = n9+ | ssA(n7,n3) = n9+ | ssA(n7,n4) = n9+ | ssA(n7,n5) = n9+ | ssA(n7,n6) = n9+ | ssA(n7,n7) = n9+ | ssA(n7,n8) = n9+ | ssA(n7,n9) = n9 )).++fof(ax71,axiom,+ ( ssA(n7,n1) != ssA(n7,n2)+ & ssA(n7,n1) != ssA(n7,n3)+ & ssA(n7,n1) != ssA(n7,n4)+ & ssA(n7,n1) != ssA(n7,n5)+ & ssA(n7,n1) != ssA(n7,n6)+ & ssA(n7,n1) != ssA(n7,n7)+ & ssA(n7,n1) != ssA(n7,n8)+ & ssA(n7,n1) != ssA(n7,n9)+ & ssA(n7,n2) != ssA(n7,n3)+ & ssA(n7,n2) != ssA(n7,n4)+ & ssA(n7,n2) != ssA(n7,n5)+ & ssA(n7,n2) != ssA(n7,n6)+ & ssA(n7,n2) != ssA(n7,n7)+ & ssA(n7,n2) != ssA(n7,n8)+ & ssA(n7,n2) != ssA(n7,n9)+ & ssA(n7,n3) != ssA(n7,n4)+ & ssA(n7,n3) != ssA(n7,n5)+ & ssA(n7,n3) != ssA(n7,n6)+ & ssA(n7,n3) != ssA(n7,n7)+ & ssA(n7,n3) != ssA(n7,n8)+ & ssA(n7,n3) != ssA(n7,n9)+ & ssA(n7,n4) != ssA(n7,n5)+ & ssA(n7,n4) != ssA(n7,n6)+ & ssA(n7,n4) != ssA(n7,n7)+ & ssA(n7,n4) != ssA(n7,n8)+ & ssA(n7,n4) != ssA(n7,n9)+ & ssA(n7,n5) != ssA(n7,n6)+ & ssA(n7,n5) != ssA(n7,n7)+ & ssA(n7,n5) != ssA(n7,n8)+ & ssA(n7,n5) != ssA(n7,n9)+ & ssA(n7,n6) != ssA(n7,n7)+ & ssA(n7,n6) != ssA(n7,n8)+ & ssA(n7,n6) != ssA(n7,n9)+ & ssA(n7,n7) != ssA(n7,n8)+ & ssA(n7,n7) != ssA(n7,n9)+ & ssA(n7,n8) != ssA(n7,n9) )).++fof(ax72,axiom,+ ( ssA(n8,n1) = n1+ | ssA(n8,n2) = n1+ | ssA(n8,n3) = n1+ | ssA(n8,n4) = n1+ | ssA(n8,n5) = n1+ | ssA(n8,n6) = n1+ | ssA(n8,n7) = n1+ | ssA(n8,n8) = n1+ | ssA(n8,n9) = n1 )).++fof(ax73,axiom,+ ( ssA(n8,n1) = n2+ | ssA(n8,n2) = n2+ | ssA(n8,n3) = n2+ | ssA(n8,n4) = n2+ | ssA(n8,n5) = n2+ | ssA(n8,n6) = n2+ | ssA(n8,n7) = n2+ | ssA(n8,n8) = n2+ | ssA(n8,n9) = n2 )).++fof(ax74,axiom,+ ( ssA(n8,n1) = n3+ | ssA(n8,n2) = n3+ | ssA(n8,n3) = n3+ | ssA(n8,n4) = n3+ | ssA(n8,n5) = n3+ | ssA(n8,n6) = n3+ | ssA(n8,n7) = n3+ | ssA(n8,n8) = n3+ | ssA(n8,n9) = n3 )).++fof(ax75,axiom,+ ( ssA(n8,n1) = n4+ | ssA(n8,n2) = n4+ | ssA(n8,n3) = n4+ | ssA(n8,n4) = n4+ | ssA(n8,n5) = n4+ | ssA(n8,n6) = n4+ | ssA(n8,n7) = n4+ | ssA(n8,n8) = n4+ | ssA(n8,n9) = n4 )).++fof(ax76,axiom,+ ( ssA(n8,n1) = n5+ | ssA(n8,n2) = n5+ | ssA(n8,n3) = n5+ | ssA(n8,n4) = n5+ | ssA(n8,n5) = n5+ | ssA(n8,n6) = n5+ | ssA(n8,n7) = n5+ | ssA(n8,n8) = n5+ | ssA(n8,n9) = n5 )).++fof(ax77,axiom,+ ( ssA(n8,n1) = n6+ | ssA(n8,n2) = n6+ | ssA(n8,n3) = n6+ | ssA(n8,n4) = n6+ | ssA(n8,n5) = n6+ | ssA(n8,n6) = n6+ | ssA(n8,n7) = n6+ | ssA(n8,n8) = n6+ | ssA(n8,n9) = n6 )).++fof(ax78,axiom,+ ( ssA(n8,n1) = n7+ | ssA(n8,n2) = n7+ | ssA(n8,n3) = n7+ | ssA(n8,n4) = n7+ | ssA(n8,n5) = n7+ | ssA(n8,n6) = n7+ | ssA(n8,n7) = n7+ | ssA(n8,n8) = n7+ | ssA(n8,n9) = n7 )).++fof(ax79,axiom,+ ( ssA(n8,n1) = n8+ | ssA(n8,n2) = n8+ | ssA(n8,n3) = n8+ | ssA(n8,n4) = n8+ | ssA(n8,n5) = n8+ | ssA(n8,n6) = n8+ | ssA(n8,n7) = n8+ | ssA(n8,n8) = n8+ | ssA(n8,n9) = n8 )).++fof(ax80,axiom,+ ( ssA(n8,n1) = n9+ | ssA(n8,n2) = n9+ | ssA(n8,n3) = n9+ | ssA(n8,n4) = n9+ | ssA(n8,n5) = n9+ | ssA(n8,n6) = n9+ | ssA(n8,n7) = n9+ | ssA(n8,n8) = n9+ | ssA(n8,n9) = n9 )).++fof(ax81,axiom,+ ( ssA(n8,n1) != ssA(n8,n2)+ & ssA(n8,n1) != ssA(n8,n3)+ & ssA(n8,n1) != ssA(n8,n4)+ & ssA(n8,n1) != ssA(n8,n5)+ & ssA(n8,n1) != ssA(n8,n6)+ & ssA(n8,n1) != ssA(n8,n7)+ & ssA(n8,n1) != ssA(n8,n8)+ & ssA(n8,n1) != ssA(n8,n9)+ & ssA(n8,n2) != ssA(n8,n3)+ & ssA(n8,n2) != ssA(n8,n4)+ & ssA(n8,n2) != ssA(n8,n5)+ & ssA(n8,n2) != ssA(n8,n6)+ & ssA(n8,n2) != ssA(n8,n7)+ & ssA(n8,n2) != ssA(n8,n8)+ & ssA(n8,n2) != ssA(n8,n9)+ & ssA(n8,n3) != ssA(n8,n4)+ & ssA(n8,n3) != ssA(n8,n5)+ & ssA(n8,n3) != ssA(n8,n6)+ & ssA(n8,n3) != ssA(n8,n7)+ & ssA(n8,n3) != ssA(n8,n8)+ & ssA(n8,n3) != ssA(n8,n9)+ & ssA(n8,n4) != ssA(n8,n5)+ & ssA(n8,n4) != ssA(n8,n6)+ & ssA(n8,n4) != ssA(n8,n7)+ & ssA(n8,n4) != ssA(n8,n8)+ & ssA(n8,n4) != ssA(n8,n9)+ & ssA(n8,n5) != ssA(n8,n6)+ & ssA(n8,n5) != ssA(n8,n7)+ & ssA(n8,n5) != ssA(n8,n8)+ & ssA(n8,n5) != ssA(n8,n9)+ & ssA(n8,n6) != ssA(n8,n7)+ & ssA(n8,n6) != ssA(n8,n8)+ & ssA(n8,n6) != ssA(n8,n9)+ & ssA(n8,n7) != ssA(n8,n8)+ & ssA(n8,n7) != ssA(n8,n9)+ & ssA(n8,n8) != ssA(n8,n9) )).++fof(ax82,axiom,+ ( ssA(n9,n1) = n1+ | ssA(n9,n2) = n1+ | ssA(n9,n3) = n1+ | ssA(n9,n4) = n1+ | ssA(n9,n5) = n1+ | ssA(n9,n6) = n1+ | ssA(n9,n7) = n1+ | ssA(n9,n8) = n1+ | ssA(n9,n9) = n1 )).++fof(ax83,axiom,+ ( ssA(n9,n1) = n2+ | ssA(n9,n2) = n2+ | ssA(n9,n3) = n2+ | ssA(n9,n4) = n2+ | ssA(n9,n5) = n2+ | ssA(n9,n6) = n2+ | ssA(n9,n7) = n2+ | ssA(n9,n8) = n2+ | ssA(n9,n9) = n2 )).++fof(ax84,axiom,+ ( ssA(n9,n1) = n3+ | ssA(n9,n2) = n3+ | ssA(n9,n3) = n3+ | ssA(n9,n4) = n3+ | ssA(n9,n5) = n3+ | ssA(n9,n6) = n3+ | ssA(n9,n7) = n3+ | ssA(n9,n8) = n3+ | ssA(n9,n9) = n3 )).++fof(ax85,axiom,+ ( ssA(n9,n1) = n4+ | ssA(n9,n2) = n4+ | ssA(n9,n3) = n4+ | ssA(n9,n4) = n4+ | ssA(n9,n5) = n4+ | ssA(n9,n6) = n4+ | ssA(n9,n7) = n4+ | ssA(n9,n8) = n4+ | ssA(n9,n9) = n4 )).++fof(ax86,axiom,+ ( ssA(n9,n1) = n5+ | ssA(n9,n2) = n5+ | ssA(n9,n3) = n5+ | ssA(n9,n4) = n5+ | ssA(n9,n5) = n5+ | ssA(n9,n6) = n5+ | ssA(n9,n7) = n5+ | ssA(n9,n8) = n5+ | ssA(n9,n9) = n5 )).++fof(ax87,axiom,+ ( ssA(n9,n1) = n6+ | ssA(n9,n2) = n6+ | ssA(n9,n3) = n6+ | ssA(n9,n4) = n6+ | ssA(n9,n5) = n6+ | ssA(n9,n6) = n6+ | ssA(n9,n7) = n6+ | ssA(n9,n8) = n6+ | ssA(n9,n9) = n6 )).++fof(ax88,axiom,+ ( ssA(n9,n1) = n7+ | ssA(n9,n2) = n7+ | ssA(n9,n3) = n7+ | ssA(n9,n4) = n7+ | ssA(n9,n5) = n7+ | ssA(n9,n6) = n7+ | ssA(n9,n7) = n7+ | ssA(n9,n8) = n7+ | ssA(n9,n9) = n7 )).++fof(ax89,axiom,+ ( ssA(n9,n1) = n8+ | ssA(n9,n2) = n8+ | ssA(n9,n3) = n8+ | ssA(n9,n4) = n8+ | ssA(n9,n5) = n8+ | ssA(n9,n6) = n8+ | ssA(n9,n7) = n8+ | ssA(n9,n8) = n8+ | ssA(n9,n9) = n8 )).++fof(ax90,axiom,+ ( ssA(n9,n1) = n9+ | ssA(n9,n2) = n9+ | ssA(n9,n3) = n9+ | ssA(n9,n4) = n9+ | ssA(n9,n5) = n9+ | ssA(n9,n6) = n9+ | ssA(n9,n7) = n9+ | ssA(n9,n8) = n9+ | ssA(n9,n9) = n9 )).++fof(ax91,axiom,+ ( ssA(n9,n1) != ssA(n9,n2)+ & ssA(n9,n1) != ssA(n9,n3)+ & ssA(n9,n1) != ssA(n9,n4)+ & ssA(n9,n1) != ssA(n9,n5)+ & ssA(n9,n1) != ssA(n9,n6)+ & ssA(n9,n1) != ssA(n9,n7)+ & ssA(n9,n1) != ssA(n9,n8)+ & ssA(n9,n1) != ssA(n9,n9)+ & ssA(n9,n2) != ssA(n9,n3)+ & ssA(n9,n2) != ssA(n9,n4)+ & ssA(n9,n2) != ssA(n9,n5)+ & ssA(n9,n2) != ssA(n9,n6)+ & ssA(n9,n2) != ssA(n9,n7)+ & ssA(n9,n2) != ssA(n9,n8)+ & ssA(n9,n2) != ssA(n9,n9)+ & ssA(n9,n3) != ssA(n9,n4)+ & ssA(n9,n3) != ssA(n9,n5)+ & ssA(n9,n3) != ssA(n9,n6)+ & ssA(n9,n3) != ssA(n9,n7)+ & ssA(n9,n3) != ssA(n9,n8)+ & ssA(n9,n3) != ssA(n9,n9)+ & ssA(n9,n4) != ssA(n9,n5)+ & ssA(n9,n4) != ssA(n9,n6)+ & ssA(n9,n4) != ssA(n9,n7)+ & ssA(n9,n4) != ssA(n9,n8)+ & ssA(n9,n4) != ssA(n9,n9)+ & ssA(n9,n5) != ssA(n9,n6)+ & ssA(n9,n5) != ssA(n9,n7)+ & ssA(n9,n5) != ssA(n9,n8)+ & ssA(n9,n5) != ssA(n9,n9)+ & ssA(n9,n6) != ssA(n9,n7)+ & ssA(n9,n6) != ssA(n9,n8)+ & ssA(n9,n6) != ssA(n9,n9)+ & ssA(n9,n7) != ssA(n9,n8)+ & ssA(n9,n7) != ssA(n9,n9)+ & ssA(n9,n8) != ssA(n9,n9) )).++%----column constraints+fof(ax92,axiom,+ ( ssA(n1,n1) = n1+ | ssA(n2,n1) = n1+ | ssA(n3,n1) = n1+ | ssA(n4,n1) = n1+ | ssA(n5,n1) = n1+ | ssA(n6,n1) = n1+ | ssA(n7,n1) = n1+ | ssA(n8,n1) = n1+ | ssA(n9,n1) = n1 )).++fof(ax93,axiom,+ ( ssA(n1,n1) = n2+ | ssA(n2,n1) = n2+ | ssA(n3,n1) = n2+ | ssA(n4,n1) = n2+ | ssA(n5,n1) = n2+ | ssA(n6,n1) = n2+ | ssA(n7,n1) = n2+ | ssA(n8,n1) = n2+ | ssA(n9,n1) = n2 )).++fof(ax94,axiom,+ ( ssA(n1,n1) = n3+ | ssA(n2,n1) = n3+ | ssA(n3,n1) = n3+ | ssA(n4,n1) = n3+ | ssA(n5,n1) = n3+ | ssA(n6,n1) = n3+ | ssA(n7,n1) = n3+ | ssA(n8,n1) = n3+ | ssA(n9,n1) = n3 )).++fof(ax95,axiom,+ ( ssA(n1,n1) = n4+ | ssA(n2,n1) = n4+ | ssA(n3,n1) = n4+ | ssA(n4,n1) = n4+ | ssA(n5,n1) = n4+ | ssA(n6,n1) = n4+ | ssA(n7,n1) = n4+ | ssA(n8,n1) = n4+ | ssA(n9,n1) = n4 )).++fof(ax96,axiom,+ ( ssA(n1,n1) = n5+ | ssA(n2,n1) = n5+ | ssA(n3,n1) = n5+ | ssA(n4,n1) = n5+ | ssA(n5,n1) = n5+ | ssA(n6,n1) = n5+ | ssA(n7,n1) = n5+ | ssA(n8,n1) = n5+ | ssA(n9,n1) = n5 )).++fof(ax97,axiom,+ ( ssA(n1,n1) = n6+ | ssA(n2,n1) = n6+ | ssA(n3,n1) = n6+ | ssA(n4,n1) = n6+ | ssA(n5,n1) = n6+ | ssA(n6,n1) = n6+ | ssA(n7,n1) = n6+ | ssA(n8,n1) = n6+ | ssA(n9,n1) = n6 )).++fof(ax98,axiom,+ ( ssA(n1,n1) = n7+ | ssA(n2,n1) = n7+ | ssA(n3,n1) = n7+ | ssA(n4,n1) = n7+ | ssA(n5,n1) = n7+ | ssA(n6,n1) = n7+ | ssA(n7,n1) = n7+ | ssA(n8,n1) = n7+ | ssA(n9,n1) = n7 )).++fof(ax99,axiom,+ ( ssA(n1,n1) = n8+ | ssA(n2,n1) = n8+ | ssA(n3,n1) = n8+ | ssA(n4,n1) = n8+ | ssA(n5,n1) = n8+ | ssA(n6,n1) = n8+ | ssA(n7,n1) = n8+ | ssA(n8,n1) = n8+ | ssA(n9,n1) = n8 )).++fof(ax100,axiom,+ ( ssA(n1,n1) = n9+ | ssA(n2,n1) = n9+ | ssA(n3,n1) = n9+ | ssA(n4,n1) = n9+ | ssA(n5,n1) = n9+ | ssA(n6,n1) = n9+ | ssA(n7,n1) = n9+ | ssA(n8,n1) = n9+ | ssA(n9,n1) = n9 )).++fof(ax101,axiom,+ ( ssA(n1,n1) != ssA(n2,n1)+ & ssA(n1,n1) != ssA(n3,n1)+ & ssA(n1,n1) != ssA(n4,n1)+ & ssA(n1,n1) != ssA(n5,n1)+ & ssA(n1,n1) != ssA(n6,n1)+ & ssA(n1,n1) != ssA(n7,n1)+ & ssA(n1,n1) != ssA(n8,n1)+ & ssA(n1,n1) != ssA(n9,n1)+ & ssA(n2,n1) != ssA(n3,n1)+ & ssA(n2,n1) != ssA(n4,n1)+ & ssA(n2,n1) != ssA(n5,n1)+ & ssA(n2,n1) != ssA(n6,n1)+ & ssA(n2,n1) != ssA(n7,n1)+ & ssA(n2,n1) != ssA(n8,n1)+ & ssA(n2,n1) != ssA(n9,n1)+ & ssA(n3,n1) != ssA(n4,n1)+ & ssA(n3,n1) != ssA(n5,n1)+ & ssA(n3,n1) != ssA(n6,n1)+ & ssA(n3,n1) != ssA(n7,n1)+ & ssA(n3,n1) != ssA(n8,n1)+ & ssA(n3,n1) != ssA(n9,n1)+ & ssA(n4,n1) != ssA(n5,n1)+ & ssA(n4,n1) != ssA(n6,n1)+ & ssA(n4,n1) != ssA(n7,n1)+ & ssA(n4,n1) != ssA(n8,n1)+ & ssA(n4,n1) != ssA(n9,n1)+ & ssA(n5,n1) != ssA(n6,n1)+ & ssA(n5,n1) != ssA(n7,n1)+ & ssA(n5,n1) != ssA(n8,n1)+ & ssA(n5,n1) != ssA(n9,n1)+ & ssA(n6,n1) != ssA(n7,n1)+ & ssA(n6,n1) != ssA(n8,n1)+ & ssA(n6,n1) != ssA(n9,n1)+ & ssA(n7,n1) != ssA(n8,n1)+ & ssA(n7,n1) != ssA(n9,n1)+ & ssA(n8,n1) != ssA(n9,n1) )).++fof(ax102,axiom,+ ( ssA(n1,n2) = n1+ | ssA(n2,n2) = n1+ | ssA(n3,n2) = n1+ | ssA(n4,n2) = n1+ | ssA(n5,n2) = n1+ | ssA(n6,n2) = n1+ | ssA(n7,n2) = n1+ | ssA(n8,n2) = n1+ | ssA(n9,n2) = n1 )).++fof(ax103,axiom,+ ( ssA(n1,n2) = n2+ | ssA(n2,n2) = n2+ | ssA(n3,n2) = n2+ | ssA(n4,n2) = n2+ | ssA(n5,n2) = n2+ | ssA(n6,n2) = n2+ | ssA(n7,n2) = n2+ | ssA(n8,n2) = n2+ | ssA(n9,n2) = n2 )).++fof(ax104,axiom,+ ( ssA(n1,n2) = n3+ | ssA(n2,n2) = n3+ | ssA(n3,n2) = n3+ | ssA(n4,n2) = n3+ | ssA(n5,n2) = n3+ | ssA(n6,n2) = n3+ | ssA(n7,n2) = n3+ | ssA(n8,n2) = n3+ | ssA(n9,n2) = n3 )).++fof(ax105,axiom,+ ( ssA(n1,n2) = n4+ | ssA(n2,n2) = n4+ | ssA(n3,n2) = n4+ | ssA(n4,n2) = n4+ | ssA(n5,n2) = n4+ | ssA(n6,n2) = n4+ | ssA(n7,n2) = n4+ | ssA(n8,n2) = n4+ | ssA(n9,n2) = n4 )).++fof(ax106,axiom,+ ( ssA(n1,n2) = n5+ | ssA(n2,n2) = n5+ | ssA(n3,n2) = n5+ | ssA(n4,n2) = n5+ | ssA(n5,n2) = n5+ | ssA(n6,n2) = n5+ | ssA(n7,n2) = n5+ | ssA(n8,n2) = n5+ | ssA(n9,n2) = n5 )).++fof(ax107,axiom,+ ( ssA(n1,n2) = n6+ | ssA(n2,n2) = n6+ | ssA(n3,n2) = n6+ | ssA(n4,n2) = n6+ | ssA(n5,n2) = n6+ | ssA(n6,n2) = n6+ | ssA(n7,n2) = n6+ | ssA(n8,n2) = n6+ | ssA(n9,n2) = n6 )).++fof(ax108,axiom,+ ( ssA(n1,n2) = n7+ | ssA(n2,n2) = n7+ | ssA(n3,n2) = n7+ | ssA(n4,n2) = n7+ | ssA(n5,n2) = n7+ | ssA(n6,n2) = n7+ | ssA(n7,n2) = n7+ | ssA(n8,n2) = n7+ | ssA(n9,n2) = n7 )).++fof(ax109,axiom,+ ( ssA(n1,n2) = n8+ | ssA(n2,n2) = n8+ | ssA(n3,n2) = n8+ | ssA(n4,n2) = n8+ | ssA(n5,n2) = n8+ | ssA(n6,n2) = n8+ | ssA(n7,n2) = n8+ | ssA(n8,n2) = n8+ | ssA(n9,n2) = n8 )).++fof(ax110,axiom,+ ( ssA(n1,n2) = n9+ | ssA(n2,n2) = n9+ | ssA(n3,n2) = n9+ | ssA(n4,n2) = n9+ | ssA(n5,n2) = n9+ | ssA(n6,n2) = n9+ | ssA(n7,n2) = n9+ | ssA(n8,n2) = n9+ | ssA(n9,n2) = n9 )).++fof(ax111,axiom,+ ( ssA(n1,n2) != ssA(n2,n2)+ & ssA(n1,n2) != ssA(n3,n2)+ & ssA(n1,n2) != ssA(n4,n2)+ & ssA(n1,n2) != ssA(n5,n2)+ & ssA(n1,n2) != ssA(n6,n2)+ & ssA(n1,n2) != ssA(n7,n2)+ & ssA(n1,n2) != ssA(n8,n2)+ & ssA(n1,n2) != ssA(n9,n2)+ & ssA(n2,n2) != ssA(n3,n2)+ & ssA(n2,n2) != ssA(n4,n2)+ & ssA(n2,n2) != ssA(n5,n2)+ & ssA(n2,n2) != ssA(n6,n2)+ & ssA(n2,n2) != ssA(n7,n2)+ & ssA(n2,n2) != ssA(n8,n2)+ & ssA(n2,n2) != ssA(n9,n2)+ & ssA(n3,n2) != ssA(n4,n2)+ & ssA(n3,n2) != ssA(n5,n2)+ & ssA(n3,n2) != ssA(n6,n2)+ & ssA(n3,n2) != ssA(n7,n2)+ & ssA(n3,n2) != ssA(n8,n2)+ & ssA(n3,n2) != ssA(n9,n2)+ & ssA(n4,n2) != ssA(n5,n2)+ & ssA(n4,n2) != ssA(n6,n2)+ & ssA(n4,n2) != ssA(n7,n2)+ & ssA(n4,n2) != ssA(n8,n2)+ & ssA(n4,n2) != ssA(n9,n2)+ & ssA(n5,n2) != ssA(n6,n2)+ & ssA(n5,n2) != ssA(n7,n2)+ & ssA(n5,n2) != ssA(n8,n2)+ & ssA(n5,n2) != ssA(n9,n2)+ & ssA(n6,n2) != ssA(n7,n2)+ & ssA(n6,n2) != ssA(n8,n2)+ & ssA(n6,n2) != ssA(n9,n2)+ & ssA(n7,n2) != ssA(n8,n2)+ & ssA(n7,n2) != ssA(n9,n2)+ & ssA(n8,n2) != ssA(n9,n2) )).++fof(ax112,axiom,+ ( ssA(n1,n3) = n1+ | ssA(n2,n3) = n1+ | ssA(n3,n3) = n1+ | ssA(n4,n3) = n1+ | ssA(n5,n3) = n1+ | ssA(n6,n3) = n1+ | ssA(n7,n3) = n1+ | ssA(n8,n3) = n1+ | ssA(n9,n3) = n1 )).++fof(ax113,axiom,+ ( ssA(n1,n3) = n2+ | ssA(n2,n3) = n2+ | ssA(n3,n3) = n2+ | ssA(n4,n3) = n2+ | ssA(n5,n3) = n2+ | ssA(n6,n3) = n2+ | ssA(n7,n3) = n2+ | ssA(n8,n3) = n2+ | ssA(n9,n3) = n2 )).++fof(ax114,axiom,+ ( ssA(n1,n3) = n3+ | ssA(n2,n3) = n3+ | ssA(n3,n3) = n3+ | ssA(n4,n3) = n3+ | ssA(n5,n3) = n3+ | ssA(n6,n3) = n3+ | ssA(n7,n3) = n3+ | ssA(n8,n3) = n3+ | ssA(n9,n3) = n3 )).++fof(ax115,axiom,+ ( ssA(n1,n3) = n4+ | ssA(n2,n3) = n4+ | ssA(n3,n3) = n4+ | ssA(n4,n3) = n4+ | ssA(n5,n3) = n4+ | ssA(n6,n3) = n4+ | ssA(n7,n3) = n4+ | ssA(n8,n3) = n4+ | ssA(n9,n3) = n4 )).++fof(ax116,axiom,+ ( ssA(n1,n3) = n5+ | ssA(n2,n3) = n5+ | ssA(n3,n3) = n5+ | ssA(n4,n3) = n5+ | ssA(n5,n3) = n5+ | ssA(n6,n3) = n5+ | ssA(n7,n3) = n5+ | ssA(n8,n3) = n5+ | ssA(n9,n3) = n5 )).++fof(ax117,axiom,+ ( ssA(n1,n3) = n6+ | ssA(n2,n3) = n6+ | ssA(n3,n3) = n6+ | ssA(n4,n3) = n6+ | ssA(n5,n3) = n6+ | ssA(n6,n3) = n6+ | ssA(n7,n3) = n6+ | ssA(n8,n3) = n6+ | ssA(n9,n3) = n6 )).++fof(ax118,axiom,+ ( ssA(n1,n3) = n7+ | ssA(n2,n3) = n7+ | ssA(n3,n3) = n7+ | ssA(n4,n3) = n7+ | ssA(n5,n3) = n7+ | ssA(n6,n3) = n7+ | ssA(n7,n3) = n7+ | ssA(n8,n3) = n7+ | ssA(n9,n3) = n7 )).++fof(ax119,axiom,+ ( ssA(n1,n3) = n8+ | ssA(n2,n3) = n8+ | ssA(n3,n3) = n8+ | ssA(n4,n3) = n8+ | ssA(n5,n3) = n8+ | ssA(n6,n3) = n8+ | ssA(n7,n3) = n8+ | ssA(n8,n3) = n8+ | ssA(n9,n3) = n8 )).++fof(ax120,axiom,+ ( ssA(n1,n3) = n9+ | ssA(n2,n3) = n9+ | ssA(n3,n3) = n9+ | ssA(n4,n3) = n9+ | ssA(n5,n3) = n9+ | ssA(n6,n3) = n9+ | ssA(n7,n3) = n9+ | ssA(n8,n3) = n9+ | ssA(n9,n3) = n9 )).++fof(ax121,axiom,+ ( ssA(n1,n3) != ssA(n2,n3)+ & ssA(n1,n3) != ssA(n3,n3)+ & ssA(n1,n3) != ssA(n4,n3)+ & ssA(n1,n3) != ssA(n5,n3)+ & ssA(n1,n3) != ssA(n6,n3)+ & ssA(n1,n3) != ssA(n7,n3)+ & ssA(n1,n3) != ssA(n8,n3)+ & ssA(n1,n3) != ssA(n9,n3)+ & ssA(n2,n3) != ssA(n3,n3)+ & ssA(n2,n3) != ssA(n4,n3)+ & ssA(n2,n3) != ssA(n5,n3)+ & ssA(n2,n3) != ssA(n6,n3)+ & ssA(n2,n3) != ssA(n7,n3)+ & ssA(n2,n3) != ssA(n8,n3)+ & ssA(n2,n3) != ssA(n9,n3)+ & ssA(n3,n3) != ssA(n4,n3)+ & ssA(n3,n3) != ssA(n5,n3)+ & ssA(n3,n3) != ssA(n6,n3)+ & ssA(n3,n3) != ssA(n7,n3)+ & ssA(n3,n3) != ssA(n8,n3)+ & ssA(n3,n3) != ssA(n9,n3)+ & ssA(n4,n3) != ssA(n5,n3)+ & ssA(n4,n3) != ssA(n6,n3)+ & ssA(n4,n3) != ssA(n7,n3)+ & ssA(n4,n3) != ssA(n8,n3)+ & ssA(n4,n3) != ssA(n9,n3)+ & ssA(n5,n3) != ssA(n6,n3)+ & ssA(n5,n3) != ssA(n7,n3)+ & ssA(n5,n3) != ssA(n8,n3)+ & ssA(n5,n3) != ssA(n9,n3)+ & ssA(n6,n3) != ssA(n7,n3)+ & ssA(n6,n3) != ssA(n8,n3)+ & ssA(n6,n3) != ssA(n9,n3)+ & ssA(n7,n3) != ssA(n8,n3)+ & ssA(n7,n3) != ssA(n9,n3)+ & ssA(n8,n3) != ssA(n9,n3) )).++fof(ax122,axiom,+ ( ssA(n1,n4) = n1+ | ssA(n2,n4) = n1+ | ssA(n3,n4) = n1+ | ssA(n4,n4) = n1+ | ssA(n5,n4) = n1+ | ssA(n6,n4) = n1+ | ssA(n7,n4) = n1+ | ssA(n8,n4) = n1+ | ssA(n9,n4) = n1 )).++fof(ax123,axiom,+ ( ssA(n1,n4) = n2+ | ssA(n2,n4) = n2+ | ssA(n3,n4) = n2+ | ssA(n4,n4) = n2+ | ssA(n5,n4) = n2+ | ssA(n6,n4) = n2+ | ssA(n7,n4) = n2+ | ssA(n8,n4) = n2+ | ssA(n9,n4) = n2 )).++fof(ax124,axiom,+ ( ssA(n1,n4) = n3+ | ssA(n2,n4) = n3+ | ssA(n3,n4) = n3+ | ssA(n4,n4) = n3+ | ssA(n5,n4) = n3+ | ssA(n6,n4) = n3+ | ssA(n7,n4) = n3+ | ssA(n8,n4) = n3+ | ssA(n9,n4) = n3 )).++fof(ax125,axiom,+ ( ssA(n1,n4) = n4+ | ssA(n2,n4) = n4+ | ssA(n3,n4) = n4+ | ssA(n4,n4) = n4+ | ssA(n5,n4) = n4+ | ssA(n6,n4) = n4+ | ssA(n7,n4) = n4+ | ssA(n8,n4) = n4+ | ssA(n9,n4) = n4 )).++fof(ax126,axiom,+ ( ssA(n1,n4) = n5+ | ssA(n2,n4) = n5+ | ssA(n3,n4) = n5+ | ssA(n4,n4) = n5+ | ssA(n5,n4) = n5+ | ssA(n6,n4) = n5+ | ssA(n7,n4) = n5+ | ssA(n8,n4) = n5+ | ssA(n9,n4) = n5 )).++fof(ax127,axiom,+ ( ssA(n1,n4) = n6+ | ssA(n2,n4) = n6+ | ssA(n3,n4) = n6+ | ssA(n4,n4) = n6+ | ssA(n5,n4) = n6+ | ssA(n6,n4) = n6+ | ssA(n7,n4) = n6+ | ssA(n8,n4) = n6+ | ssA(n9,n4) = n6 )).++fof(ax128,axiom,+ ( ssA(n1,n4) = n7+ | ssA(n2,n4) = n7+ | ssA(n3,n4) = n7+ | ssA(n4,n4) = n7+ | ssA(n5,n4) = n7+ | ssA(n6,n4) = n7+ | ssA(n7,n4) = n7+ | ssA(n8,n4) = n7+ | ssA(n9,n4) = n7 )).++fof(ax129,axiom,+ ( ssA(n1,n4) = n8+ | ssA(n2,n4) = n8+ | ssA(n3,n4) = n8+ | ssA(n4,n4) = n8+ | ssA(n5,n4) = n8+ | ssA(n6,n4) = n8+ | ssA(n7,n4) = n8+ | ssA(n8,n4) = n8+ | ssA(n9,n4) = n8 )).++fof(ax130,axiom,+ ( ssA(n1,n4) = n9+ | ssA(n2,n4) = n9+ | ssA(n3,n4) = n9+ | ssA(n4,n4) = n9+ | ssA(n5,n4) = n9+ | ssA(n6,n4) = n9+ | ssA(n7,n4) = n9+ | ssA(n8,n4) = n9+ | ssA(n9,n4) = n9 )).++fof(ax131,axiom,+ ( ssA(n1,n4) != ssA(n2,n4)+ & ssA(n1,n4) != ssA(n3,n4)+ & ssA(n1,n4) != ssA(n4,n4)+ & ssA(n1,n4) != ssA(n5,n4)+ & ssA(n1,n4) != ssA(n6,n4)+ & ssA(n1,n4) != ssA(n7,n4)+ & ssA(n1,n4) != ssA(n8,n4)+ & ssA(n1,n4) != ssA(n9,n4)+ & ssA(n2,n4) != ssA(n3,n4)+ & ssA(n2,n4) != ssA(n4,n4)+ & ssA(n2,n4) != ssA(n5,n4)+ & ssA(n2,n4) != ssA(n6,n4)+ & ssA(n2,n4) != ssA(n7,n4)+ & ssA(n2,n4) != ssA(n8,n4)+ & ssA(n2,n4) != ssA(n9,n4)+ & ssA(n3,n4) != ssA(n4,n4)+ & ssA(n3,n4) != ssA(n5,n4)+ & ssA(n3,n4) != ssA(n6,n4)+ & ssA(n3,n4) != ssA(n7,n4)+ & ssA(n3,n4) != ssA(n8,n4)+ & ssA(n3,n4) != ssA(n9,n4)+ & ssA(n4,n4) != ssA(n5,n4)+ & ssA(n4,n4) != ssA(n6,n4)+ & ssA(n4,n4) != ssA(n7,n4)+ & ssA(n4,n4) != ssA(n8,n4)+ & ssA(n4,n4) != ssA(n9,n4)+ & ssA(n5,n4) != ssA(n6,n4)+ & ssA(n5,n4) != ssA(n7,n4)+ & ssA(n5,n4) != ssA(n8,n4)+ & ssA(n5,n4) != ssA(n9,n4)+ & ssA(n6,n4) != ssA(n7,n4)+ & ssA(n6,n4) != ssA(n8,n4)+ & ssA(n6,n4) != ssA(n9,n4)+ & ssA(n7,n4) != ssA(n8,n4)+ & ssA(n7,n4) != ssA(n9,n4)+ & ssA(n8,n4) != ssA(n9,n4) )).++fof(ax132,axiom,+ ( ssA(n1,n5) = n1+ | ssA(n2,n5) = n1+ | ssA(n3,n5) = n1+ | ssA(n4,n5) = n1+ | ssA(n5,n5) = n1+ | ssA(n6,n5) = n1+ | ssA(n7,n5) = n1+ | ssA(n8,n5) = n1+ | ssA(n9,n5) = n1 )).++fof(ax133,axiom,+ ( ssA(n1,n5) = n2+ | ssA(n2,n5) = n2+ | ssA(n3,n5) = n2+ | ssA(n4,n5) = n2+ | ssA(n5,n5) = n2+ | ssA(n6,n5) = n2+ | ssA(n7,n5) = n2+ | ssA(n8,n5) = n2+ | ssA(n9,n5) = n2 )).++fof(ax134,axiom,+ ( ssA(n1,n5) = n3+ | ssA(n2,n5) = n3+ | ssA(n3,n5) = n3+ | ssA(n4,n5) = n3+ | ssA(n5,n5) = n3+ | ssA(n6,n5) = n3+ | ssA(n7,n5) = n3+ | ssA(n8,n5) = n3+ | ssA(n9,n5) = n3 )).++fof(ax135,axiom,+ ( ssA(n1,n5) = n4+ | ssA(n2,n5) = n4+ | ssA(n3,n5) = n4+ | ssA(n4,n5) = n4+ | ssA(n5,n5) = n4+ | ssA(n6,n5) = n4+ | ssA(n7,n5) = n4+ | ssA(n8,n5) = n4+ | ssA(n9,n5) = n4 )).++fof(ax136,axiom,+ ( ssA(n1,n5) = n5+ | ssA(n2,n5) = n5+ | ssA(n3,n5) = n5+ | ssA(n4,n5) = n5+ | ssA(n5,n5) = n5+ | ssA(n6,n5) = n5+ | ssA(n7,n5) = n5+ | ssA(n8,n5) = n5+ | ssA(n9,n5) = n5 )).++fof(ax137,axiom,+ ( ssA(n1,n5) = n6+ | ssA(n2,n5) = n6+ | ssA(n3,n5) = n6+ | ssA(n4,n5) = n6+ | ssA(n5,n5) = n6+ | ssA(n6,n5) = n6+ | ssA(n7,n5) = n6+ | ssA(n8,n5) = n6+ | ssA(n9,n5) = n6 )).++fof(ax138,axiom,+ ( ssA(n1,n5) = n7+ | ssA(n2,n5) = n7+ | ssA(n3,n5) = n7+ | ssA(n4,n5) = n7+ | ssA(n5,n5) = n7+ | ssA(n6,n5) = n7+ | ssA(n7,n5) = n7+ | ssA(n8,n5) = n7+ | ssA(n9,n5) = n7 )).++fof(ax139,axiom,+ ( ssA(n1,n5) = n8+ | ssA(n2,n5) = n8+ | ssA(n3,n5) = n8+ | ssA(n4,n5) = n8+ | ssA(n5,n5) = n8+ | ssA(n6,n5) = n8+ | ssA(n7,n5) = n8+ | ssA(n8,n5) = n8+ | ssA(n9,n5) = n8 )).++fof(ax140,axiom,+ ( ssA(n1,n5) = n9+ | ssA(n2,n5) = n9+ | ssA(n3,n5) = n9+ | ssA(n4,n5) = n9+ | ssA(n5,n5) = n9+ | ssA(n6,n5) = n9+ | ssA(n7,n5) = n9+ | ssA(n8,n5) = n9+ | ssA(n9,n5) = n9 )).++fof(ax141,axiom,+ ( ssA(n1,n5) != ssA(n2,n5)+ & ssA(n1,n5) != ssA(n3,n5)+ & ssA(n1,n5) != ssA(n4,n5)+ & ssA(n1,n5) != ssA(n5,n5)+ & ssA(n1,n5) != ssA(n6,n5)+ & ssA(n1,n5) != ssA(n7,n5)+ & ssA(n1,n5) != ssA(n8,n5)+ & ssA(n1,n5) != ssA(n9,n5)+ & ssA(n2,n5) != ssA(n3,n5)+ & ssA(n2,n5) != ssA(n4,n5)+ & ssA(n2,n5) != ssA(n5,n5)+ & ssA(n2,n5) != ssA(n6,n5)+ & ssA(n2,n5) != ssA(n7,n5)+ & ssA(n2,n5) != ssA(n8,n5)+ & ssA(n2,n5) != ssA(n9,n5)+ & ssA(n3,n5) != ssA(n4,n5)+ & ssA(n3,n5) != ssA(n5,n5)+ & ssA(n3,n5) != ssA(n6,n5)+ & ssA(n3,n5) != ssA(n7,n5)+ & ssA(n3,n5) != ssA(n8,n5)+ & ssA(n3,n5) != ssA(n9,n5)+ & ssA(n4,n5) != ssA(n5,n5)+ & ssA(n4,n5) != ssA(n6,n5)+ & ssA(n4,n5) != ssA(n7,n5)+ & ssA(n4,n5) != ssA(n8,n5)+ & ssA(n4,n5) != ssA(n9,n5)+ & ssA(n5,n5) != ssA(n6,n5)+ & ssA(n5,n5) != ssA(n7,n5)+ & ssA(n5,n5) != ssA(n8,n5)+ & ssA(n5,n5) != ssA(n9,n5)+ & ssA(n6,n5) != ssA(n7,n5)+ & ssA(n6,n5) != ssA(n8,n5)+ & ssA(n6,n5) != ssA(n9,n5)+ & ssA(n7,n5) != ssA(n8,n5)+ & ssA(n7,n5) != ssA(n9,n5)+ & ssA(n8,n5) != ssA(n9,n5) )).++fof(ax142,axiom,+ ( ssA(n1,n6) = n1+ | ssA(n2,n6) = n1+ | ssA(n3,n6) = n1+ | ssA(n4,n6) = n1+ | ssA(n5,n6) = n1+ | ssA(n6,n6) = n1+ | ssA(n7,n6) = n1+ | ssA(n8,n6) = n1+ | ssA(n9,n6) = n1 )).++fof(ax143,axiom,+ ( ssA(n1,n6) = n2+ | ssA(n2,n6) = n2+ | ssA(n3,n6) = n2+ | ssA(n4,n6) = n2+ | ssA(n5,n6) = n2+ | ssA(n6,n6) = n2+ | ssA(n7,n6) = n2+ | ssA(n8,n6) = n2+ | ssA(n9,n6) = n2 )).++fof(ax144,axiom,+ ( ssA(n1,n6) = n3+ | ssA(n2,n6) = n3+ | ssA(n3,n6) = n3+ | ssA(n4,n6) = n3+ | ssA(n5,n6) = n3+ | ssA(n6,n6) = n3+ | ssA(n7,n6) = n3+ | ssA(n8,n6) = n3+ | ssA(n9,n6) = n3 )).++fof(ax145,axiom,+ ( ssA(n1,n6) = n4+ | ssA(n2,n6) = n4+ | ssA(n3,n6) = n4+ | ssA(n4,n6) = n4+ | ssA(n5,n6) = n4+ | ssA(n6,n6) = n4+ | ssA(n7,n6) = n4+ | ssA(n8,n6) = n4+ | ssA(n9,n6) = n4 )).++fof(ax146,axiom,+ ( ssA(n1,n6) = n5+ | ssA(n2,n6) = n5+ | ssA(n3,n6) = n5+ | ssA(n4,n6) = n5+ | ssA(n5,n6) = n5+ | ssA(n6,n6) = n5+ | ssA(n7,n6) = n5+ | ssA(n8,n6) = n5+ | ssA(n9,n6) = n5 )).++fof(ax147,axiom,+ ( ssA(n1,n6) = n6+ | ssA(n2,n6) = n6+ | ssA(n3,n6) = n6+ | ssA(n4,n6) = n6+ | ssA(n5,n6) = n6+ | ssA(n6,n6) = n6+ | ssA(n7,n6) = n6+ | ssA(n8,n6) = n6+ | ssA(n9,n6) = n6 )).++fof(ax148,axiom,+ ( ssA(n1,n6) = n7+ | ssA(n2,n6) = n7+ | ssA(n3,n6) = n7+ | ssA(n4,n6) = n7+ | ssA(n5,n6) = n7+ | ssA(n6,n6) = n7+ | ssA(n7,n6) = n7+ | ssA(n8,n6) = n7+ | ssA(n9,n6) = n7 )).++fof(ax149,axiom,+ ( ssA(n1,n6) = n8+ | ssA(n2,n6) = n8+ | ssA(n3,n6) = n8+ | ssA(n4,n6) = n8+ | ssA(n5,n6) = n8+ | ssA(n6,n6) = n8+ | ssA(n7,n6) = n8+ | ssA(n8,n6) = n8+ | ssA(n9,n6) = n8 )).++fof(ax150,axiom,+ ( ssA(n1,n6) = n9+ | ssA(n2,n6) = n9+ | ssA(n3,n6) = n9+ | ssA(n4,n6) = n9+ | ssA(n5,n6) = n9+ | ssA(n6,n6) = n9+ | ssA(n7,n6) = n9+ | ssA(n8,n6) = n9+ | ssA(n9,n6) = n9 )).++fof(ax151,axiom,+ ( ssA(n1,n6) != ssA(n2,n6)+ & ssA(n1,n6) != ssA(n3,n6)+ & ssA(n1,n6) != ssA(n4,n6)+ & ssA(n1,n6) != ssA(n5,n6)+ & ssA(n1,n6) != ssA(n6,n6)+ & ssA(n1,n6) != ssA(n7,n6)+ & ssA(n1,n6) != ssA(n8,n6)+ & ssA(n1,n6) != ssA(n9,n6)+ & ssA(n2,n6) != ssA(n3,n6)+ & ssA(n2,n6) != ssA(n4,n6)+ & ssA(n2,n6) != ssA(n5,n6)+ & ssA(n2,n6) != ssA(n6,n6)+ & ssA(n2,n6) != ssA(n7,n6)+ & ssA(n2,n6) != ssA(n8,n6)+ & ssA(n2,n6) != ssA(n9,n6)+ & ssA(n3,n6) != ssA(n4,n6)+ & ssA(n3,n6) != ssA(n5,n6)+ & ssA(n3,n6) != ssA(n6,n6)+ & ssA(n3,n6) != ssA(n7,n6)+ & ssA(n3,n6) != ssA(n8,n6)+ & ssA(n3,n6) != ssA(n9,n6)+ & ssA(n4,n6) != ssA(n5,n6)+ & ssA(n4,n6) != ssA(n6,n6)+ & ssA(n4,n6) != ssA(n7,n6)+ & ssA(n4,n6) != ssA(n8,n6)+ & ssA(n4,n6) != ssA(n9,n6)+ & ssA(n5,n6) != ssA(n6,n6)+ & ssA(n5,n6) != ssA(n7,n6)+ & ssA(n5,n6) != ssA(n8,n6)+ & ssA(n5,n6) != ssA(n9,n6)+ & ssA(n6,n6) != ssA(n7,n6)+ & ssA(n6,n6) != ssA(n8,n6)+ & ssA(n6,n6) != ssA(n9,n6)+ & ssA(n7,n6) != ssA(n8,n6)+ & ssA(n7,n6) != ssA(n9,n6)+ & ssA(n8,n6) != ssA(n9,n6) )).++fof(ax152,axiom,+ ( ssA(n1,n7) = n1+ | ssA(n2,n7) = n1+ | ssA(n3,n7) = n1+ | ssA(n4,n7) = n1+ | ssA(n5,n7) = n1+ | ssA(n6,n7) = n1+ | ssA(n7,n7) = n1+ | ssA(n8,n7) = n1+ | ssA(n9,n7) = n1 )).++fof(ax153,axiom,+ ( ssA(n1,n7) = n2+ | ssA(n2,n7) = n2+ | ssA(n3,n7) = n2+ | ssA(n4,n7) = n2+ | ssA(n5,n7) = n2+ | ssA(n6,n7) = n2+ | ssA(n7,n7) = n2+ | ssA(n8,n7) = n2+ | ssA(n9,n7) = n2 )).++fof(ax154,axiom,+ ( ssA(n1,n7) = n3+ | ssA(n2,n7) = n3+ | ssA(n3,n7) = n3+ | ssA(n4,n7) = n3+ | ssA(n5,n7) = n3+ | ssA(n6,n7) = n3+ | ssA(n7,n7) = n3+ | ssA(n8,n7) = n3+ | ssA(n9,n7) = n3 )).++fof(ax155,axiom,+ ( ssA(n1,n7) = n4+ | ssA(n2,n7) = n4+ | ssA(n3,n7) = n4+ | ssA(n4,n7) = n4+ | ssA(n5,n7) = n4+ | ssA(n6,n7) = n4+ | ssA(n7,n7) = n4+ | ssA(n8,n7) = n4+ | ssA(n9,n7) = n4 )).++fof(ax156,axiom,+ ( ssA(n1,n7) = n5+ | ssA(n2,n7) = n5+ | ssA(n3,n7) = n5+ | ssA(n4,n7) = n5+ | ssA(n5,n7) = n5+ | ssA(n6,n7) = n5+ | ssA(n7,n7) = n5+ | ssA(n8,n7) = n5+ | ssA(n9,n7) = n5 )).++fof(ax157,axiom,+ ( ssA(n1,n7) = n6+ | ssA(n2,n7) = n6+ | ssA(n3,n7) = n6+ | ssA(n4,n7) = n6+ | ssA(n5,n7) = n6+ | ssA(n6,n7) = n6+ | ssA(n7,n7) = n6+ | ssA(n8,n7) = n6+ | ssA(n9,n7) = n6 )).++fof(ax158,axiom,+ ( ssA(n1,n7) = n7+ | ssA(n2,n7) = n7+ | ssA(n3,n7) = n7+ | ssA(n4,n7) = n7+ | ssA(n5,n7) = n7+ | ssA(n6,n7) = n7+ | ssA(n7,n7) = n7+ | ssA(n8,n7) = n7+ | ssA(n9,n7) = n7 )).++fof(ax159,axiom,+ ( ssA(n1,n7) = n8+ | ssA(n2,n7) = n8+ | ssA(n3,n7) = n8+ | ssA(n4,n7) = n8+ | ssA(n5,n7) = n8+ | ssA(n6,n7) = n8+ | ssA(n7,n7) = n8+ | ssA(n8,n7) = n8+ | ssA(n9,n7) = n8 )).++fof(ax160,axiom,+ ( ssA(n1,n7) = n9+ | ssA(n2,n7) = n9+ | ssA(n3,n7) = n9+ | ssA(n4,n7) = n9+ | ssA(n5,n7) = n9+ | ssA(n6,n7) = n9+ | ssA(n7,n7) = n9+ | ssA(n8,n7) = n9+ | ssA(n9,n7) = n9 )).++fof(ax161,axiom,+ ( ssA(n1,n7) != ssA(n2,n7)+ & ssA(n1,n7) != ssA(n3,n7)+ & ssA(n1,n7) != ssA(n4,n7)+ & ssA(n1,n7) != ssA(n5,n7)+ & ssA(n1,n7) != ssA(n6,n7)+ & ssA(n1,n7) != ssA(n7,n7)+ & ssA(n1,n7) != ssA(n8,n7)+ & ssA(n1,n7) != ssA(n9,n7)+ & ssA(n2,n7) != ssA(n3,n7)+ & ssA(n2,n7) != ssA(n4,n7)+ & ssA(n2,n7) != ssA(n5,n7)+ & ssA(n2,n7) != ssA(n6,n7)+ & ssA(n2,n7) != ssA(n7,n7)+ & ssA(n2,n7) != ssA(n8,n7)+ & ssA(n2,n7) != ssA(n9,n7)+ & ssA(n3,n7) != ssA(n4,n7)+ & ssA(n3,n7) != ssA(n5,n7)+ & ssA(n3,n7) != ssA(n6,n7)+ & ssA(n3,n7) != ssA(n7,n7)+ & ssA(n3,n7) != ssA(n8,n7)+ & ssA(n3,n7) != ssA(n9,n7)+ & ssA(n4,n7) != ssA(n5,n7)+ & ssA(n4,n7) != ssA(n6,n7)+ & ssA(n4,n7) != ssA(n7,n7)+ & ssA(n4,n7) != ssA(n8,n7)+ & ssA(n4,n7) != ssA(n9,n7)+ & ssA(n5,n7) != ssA(n6,n7)+ & ssA(n5,n7) != ssA(n7,n7)+ & ssA(n5,n7) != ssA(n8,n7)+ & ssA(n5,n7) != ssA(n9,n7)+ & ssA(n6,n7) != ssA(n7,n7)+ & ssA(n6,n7) != ssA(n8,n7)+ & ssA(n6,n7) != ssA(n9,n7)+ & ssA(n7,n7) != ssA(n8,n7)+ & ssA(n7,n7) != ssA(n9,n7)+ & ssA(n8,n7) != ssA(n9,n7) )).++fof(ax162,axiom,+ ( ssA(n1,n8) = n1+ | ssA(n2,n8) = n1+ | ssA(n3,n8) = n1+ | ssA(n4,n8) = n1+ | ssA(n5,n8) = n1+ | ssA(n6,n8) = n1+ | ssA(n7,n8) = n1+ | ssA(n8,n8) = n1+ | ssA(n9,n8) = n1 )).++fof(ax163,axiom,+ ( ssA(n1,n8) = n2+ | ssA(n2,n8) = n2+ | ssA(n3,n8) = n2+ | ssA(n4,n8) = n2+ | ssA(n5,n8) = n2+ | ssA(n6,n8) = n2+ | ssA(n7,n8) = n2+ | ssA(n8,n8) = n2+ | ssA(n9,n8) = n2 )).++fof(ax164,axiom,+ ( ssA(n1,n8) = n3+ | ssA(n2,n8) = n3+ | ssA(n3,n8) = n3+ | ssA(n4,n8) = n3+ | ssA(n5,n8) = n3+ | ssA(n6,n8) = n3+ | ssA(n7,n8) = n3+ | ssA(n8,n8) = n3+ | ssA(n9,n8) = n3 )).++fof(ax165,axiom,+ ( ssA(n1,n8) = n4+ | ssA(n2,n8) = n4+ | ssA(n3,n8) = n4+ | ssA(n4,n8) = n4+ | ssA(n5,n8) = n4+ | ssA(n6,n8) = n4+ | ssA(n7,n8) = n4+ | ssA(n8,n8) = n4+ | ssA(n9,n8) = n4 )).++fof(ax166,axiom,+ ( ssA(n1,n8) = n5+ | ssA(n2,n8) = n5+ | ssA(n3,n8) = n5+ | ssA(n4,n8) = n5+ | ssA(n5,n8) = n5+ | ssA(n6,n8) = n5+ | ssA(n7,n8) = n5+ | ssA(n8,n8) = n5+ | ssA(n9,n8) = n5 )).++fof(ax167,axiom,+ ( ssA(n1,n8) = n6+ | ssA(n2,n8) = n6+ | ssA(n3,n8) = n6+ | ssA(n4,n8) = n6+ | ssA(n5,n8) = n6+ | ssA(n6,n8) = n6+ | ssA(n7,n8) = n6+ | ssA(n8,n8) = n6+ | ssA(n9,n8) = n6 )).++fof(ax168,axiom,+ ( ssA(n1,n8) = n7+ | ssA(n2,n8) = n7+ | ssA(n3,n8) = n7+ | ssA(n4,n8) = n7+ | ssA(n5,n8) = n7+ | ssA(n6,n8) = n7+ | ssA(n7,n8) = n7+ | ssA(n8,n8) = n7+ | ssA(n9,n8) = n7 )).++fof(ax169,axiom,+ ( ssA(n1,n8) = n8+ | ssA(n2,n8) = n8+ | ssA(n3,n8) = n8+ | ssA(n4,n8) = n8+ | ssA(n5,n8) = n8+ | ssA(n6,n8) = n8+ | ssA(n7,n8) = n8+ | ssA(n8,n8) = n8+ | ssA(n9,n8) = n8 )).++fof(ax170,axiom,+ ( ssA(n1,n8) = n9+ | ssA(n2,n8) = n9+ | ssA(n3,n8) = n9+ | ssA(n4,n8) = n9+ | ssA(n5,n8) = n9+ | ssA(n6,n8) = n9+ | ssA(n7,n8) = n9+ | ssA(n8,n8) = n9+ | ssA(n9,n8) = n9 )).++fof(ax171,axiom,+ ( ssA(n1,n8) != ssA(n2,n8)+ & ssA(n1,n8) != ssA(n3,n8)+ & ssA(n1,n8) != ssA(n4,n8)+ & ssA(n1,n8) != ssA(n5,n8)+ & ssA(n1,n8) != ssA(n6,n8)+ & ssA(n1,n8) != ssA(n7,n8)+ & ssA(n1,n8) != ssA(n8,n8)+ & ssA(n1,n8) != ssA(n9,n8)+ & ssA(n2,n8) != ssA(n3,n8)+ & ssA(n2,n8) != ssA(n4,n8)+ & ssA(n2,n8) != ssA(n5,n8)+ & ssA(n2,n8) != ssA(n6,n8)+ & ssA(n2,n8) != ssA(n7,n8)+ & ssA(n2,n8) != ssA(n8,n8)+ & ssA(n2,n8) != ssA(n9,n8)+ & ssA(n3,n8) != ssA(n4,n8)+ & ssA(n3,n8) != ssA(n5,n8)+ & ssA(n3,n8) != ssA(n6,n8)+ & ssA(n3,n8) != ssA(n7,n8)+ & ssA(n3,n8) != ssA(n8,n8)+ & ssA(n3,n8) != ssA(n9,n8)+ & ssA(n4,n8) != ssA(n5,n8)+ & ssA(n4,n8) != ssA(n6,n8)+ & ssA(n4,n8) != ssA(n7,n8)+ & ssA(n4,n8) != ssA(n8,n8)+ & ssA(n4,n8) != ssA(n9,n8)+ & ssA(n5,n8) != ssA(n6,n8)+ & ssA(n5,n8) != ssA(n7,n8)+ & ssA(n5,n8) != ssA(n8,n8)+ & ssA(n5,n8) != ssA(n9,n8)+ & ssA(n6,n8) != ssA(n7,n8)+ & ssA(n6,n8) != ssA(n8,n8)+ & ssA(n6,n8) != ssA(n9,n8)+ & ssA(n7,n8) != ssA(n8,n8)+ & ssA(n7,n8) != ssA(n9,n8)+ & ssA(n8,n8) != ssA(n9,n8) )).++fof(ax172,axiom,+ ( ssA(n1,n9) = n1+ | ssA(n2,n9) = n1+ | ssA(n3,n9) = n1+ | ssA(n4,n9) = n1+ | ssA(n5,n9) = n1+ | ssA(n6,n9) = n1+ | ssA(n7,n9) = n1+ | ssA(n8,n9) = n1+ | ssA(n9,n9) = n1 )).++fof(ax173,axiom,+ ( ssA(n1,n9) = n2+ | ssA(n2,n9) = n2+ | ssA(n3,n9) = n2+ | ssA(n4,n9) = n2+ | ssA(n5,n9) = n2+ | ssA(n6,n9) = n2+ | ssA(n7,n9) = n2+ | ssA(n8,n9) = n2+ | ssA(n9,n9) = n2 )).++fof(ax174,axiom,+ ( ssA(n1,n9) = n3+ | ssA(n2,n9) = n3+ | ssA(n3,n9) = n3+ | ssA(n4,n9) = n3+ | ssA(n5,n9) = n3+ | ssA(n6,n9) = n3+ | ssA(n7,n9) = n3+ | ssA(n8,n9) = n3+ | ssA(n9,n9) = n3 )).++fof(ax175,axiom,+ ( ssA(n1,n9) = n4+ | ssA(n2,n9) = n4+ | ssA(n3,n9) = n4+ | ssA(n4,n9) = n4+ | ssA(n5,n9) = n4+ | ssA(n6,n9) = n4+ | ssA(n7,n9) = n4+ | ssA(n8,n9) = n4+ | ssA(n9,n9) = n4 )).++fof(ax176,axiom,+ ( ssA(n1,n9) = n5+ | ssA(n2,n9) = n5+ | ssA(n3,n9) = n5+ | ssA(n4,n9) = n5+ | ssA(n5,n9) = n5+ | ssA(n6,n9) = n5+ | ssA(n7,n9) = n5+ | ssA(n8,n9) = n5+ | ssA(n9,n9) = n5 )).++fof(ax177,axiom,+ ( ssA(n1,n9) = n6+ | ssA(n2,n9) = n6+ | ssA(n3,n9) = n6+ | ssA(n4,n9) = n6+ | ssA(n5,n9) = n6+ | ssA(n6,n9) = n6+ | ssA(n7,n9) = n6+ | ssA(n8,n9) = n6+ | ssA(n9,n9) = n6 )).++fof(ax178,axiom,+ ( ssA(n1,n9) = n7+ | ssA(n2,n9) = n7+ | ssA(n3,n9) = n7+ | ssA(n4,n9) = n7+ | ssA(n5,n9) = n7+ | ssA(n6,n9) = n7+ | ssA(n7,n9) = n7+ | ssA(n8,n9) = n7+ | ssA(n9,n9) = n7 )).++fof(ax179,axiom,+ ( ssA(n1,n9) = n8+ | ssA(n2,n9) = n8+ | ssA(n3,n9) = n8+ | ssA(n4,n9) = n8+ | ssA(n5,n9) = n8+ | ssA(n6,n9) = n8+ | ssA(n7,n9) = n8+ | ssA(n8,n9) = n8+ | ssA(n9,n9) = n8 )).++fof(ax180,axiom,+ ( ssA(n1,n9) = n9+ | ssA(n2,n9) = n9+ | ssA(n3,n9) = n9+ | ssA(n4,n9) = n9+ | ssA(n5,n9) = n9+ | ssA(n6,n9) = n9+ | ssA(n7,n9) = n9+ | ssA(n8,n9) = n9+ | ssA(n9,n9) = n9 )).++fof(ax181,axiom,+ ( ssA(n1,n9) != ssA(n2,n9)+ & ssA(n1,n9) != ssA(n3,n9)+ & ssA(n1,n9) != ssA(n4,n9)+ & ssA(n1,n9) != ssA(n5,n9)+ & ssA(n1,n9) != ssA(n6,n9)+ & ssA(n1,n9) != ssA(n7,n9)+ & ssA(n1,n9) != ssA(n8,n9)+ & ssA(n1,n9) != ssA(n9,n9)+ & ssA(n2,n9) != ssA(n3,n9)+ & ssA(n2,n9) != ssA(n4,n9)+ & ssA(n2,n9) != ssA(n5,n9)+ & ssA(n2,n9) != ssA(n6,n9)+ & ssA(n2,n9) != ssA(n7,n9)+ & ssA(n2,n9) != ssA(n8,n9)+ & ssA(n2,n9) != ssA(n9,n9)+ & ssA(n3,n9) != ssA(n4,n9)+ & ssA(n3,n9) != ssA(n5,n9)+ & ssA(n3,n9) != ssA(n6,n9)+ & ssA(n3,n9) != ssA(n7,n9)+ & ssA(n3,n9) != ssA(n8,n9)+ & ssA(n3,n9) != ssA(n9,n9)+ & ssA(n4,n9) != ssA(n5,n9)+ & ssA(n4,n9) != ssA(n6,n9)+ & ssA(n4,n9) != ssA(n7,n9)+ & ssA(n4,n9) != ssA(n8,n9)+ & ssA(n4,n9) != ssA(n9,n9)+ & ssA(n5,n9) != ssA(n6,n9)+ & ssA(n5,n9) != ssA(n7,n9)+ & ssA(n5,n9) != ssA(n8,n9)+ & ssA(n5,n9) != ssA(n9,n9)+ & ssA(n6,n9) != ssA(n7,n9)+ & ssA(n6,n9) != ssA(n8,n9)+ & ssA(n6,n9) != ssA(n9,n9)+ & ssA(n7,n9) != ssA(n8,n9)+ & ssA(n7,n9) != ssA(n9,n9)+ & ssA(n8,n9) != ssA(n9,n9) )).++%----Subsquare constraints+fof(ax182,axiom,+ ( ssA(n1,n1) = n1+ | ssA(n1,n2) = n1+ | ssA(n1,n3) = n1+ | ssA(n2,n1) = n1+ | ssA(n2,n2) = n1+ | ssA(n2,n3) = n1+ | ssA(n3,n1) = n1+ | ssA(n3,n2) = n1+ | ssA(n3,n3) = n1 )).++fof(ax183,axiom,+ ( ssA(n1,n1) = n2+ | ssA(n1,n2) = n2+ | ssA(n1,n3) = n2+ | ssA(n2,n1) = n2+ | ssA(n2,n2) = n2+ | ssA(n2,n3) = n2+ | ssA(n3,n1) = n2+ | ssA(n3,n2) = n2+ | ssA(n3,n3) = n2 )).++fof(ax184,axiom,+ ( ssA(n1,n1) = n3+ | ssA(n1,n2) = n3+ | ssA(n1,n3) = n3+ | ssA(n2,n1) = n3+ | ssA(n2,n2) = n3+ | ssA(n2,n3) = n3+ | ssA(n3,n1) = n3+ | ssA(n3,n2) = n3+ | ssA(n3,n3) = n3 )).++fof(ax185,axiom,+ ( ssA(n1,n1) = n4+ | ssA(n1,n2) = n4+ | ssA(n1,n3) = n4+ | ssA(n2,n1) = n4+ | ssA(n2,n2) = n4+ | ssA(n2,n3) = n4+ | ssA(n3,n1) = n4+ | ssA(n3,n2) = n4+ | ssA(n3,n3) = n4 )).++fof(ax186,axiom,+ ( ssA(n1,n1) = n5+ | ssA(n1,n2) = n5+ | ssA(n1,n3) = n5+ | ssA(n2,n1) = n5+ | ssA(n2,n2) = n5+ | ssA(n2,n3) = n5+ | ssA(n3,n1) = n5+ | ssA(n3,n2) = n5+ | ssA(n3,n3) = n5 )).++fof(ax187,axiom,+ ( ssA(n1,n1) = n6+ | ssA(n1,n2) = n6+ | ssA(n1,n3) = n6+ | ssA(n2,n1) = n6+ | ssA(n2,n2) = n6+ | ssA(n2,n3) = n6+ | ssA(n3,n1) = n6+ | ssA(n3,n2) = n6+ | ssA(n3,n3) = n6 )).++fof(ax188,axiom,+ ( ssA(n1,n1) = n7+ | ssA(n1,n2) = n7+ | ssA(n1,n3) = n7+ | ssA(n2,n1) = n7+ | ssA(n2,n2) = n7+ | ssA(n2,n3) = n7+ | ssA(n3,n1) = n7+ | ssA(n3,n2) = n7+ | ssA(n3,n3) = n7 )).++fof(ax189,axiom,+ ( ssA(n1,n1) = n8+ | ssA(n1,n2) = n8+ | ssA(n1,n3) = n8+ | ssA(n2,n1) = n8+ | ssA(n2,n2) = n8+ | ssA(n2,n3) = n8+ | ssA(n3,n1) = n8+ | ssA(n3,n2) = n8+ | ssA(n3,n3) = n8 )).++fof(ax190,axiom,+ ( ssA(n1,n1) = n9+ | ssA(n1,n2) = n9+ | ssA(n1,n3) = n9+ | ssA(n2,n1) = n9+ | ssA(n2,n2) = n9+ | ssA(n2,n3) = n9+ | ssA(n3,n1) = n9+ | ssA(n3,n2) = n9+ | ssA(n3,n3) = n9 )).++fof(ax191,axiom,+ ( ssA(n1,n1) != ssA(n1,n2)+ & ssA(n1,n1) != ssA(n1,n3)+ & ssA(n1,n1) != ssA(n2,n1)+ & ssA(n1,n1) != ssA(n2,n2)+ & ssA(n1,n1) != ssA(n2,n3)+ & ssA(n1,n1) != ssA(n3,n1)+ & ssA(n1,n1) != ssA(n3,n2)+ & ssA(n1,n1) != ssA(n3,n3)+ & ssA(n1,n2) != ssA(n1,n3)+ & ssA(n1,n2) != ssA(n2,n1)+ & ssA(n1,n2) != ssA(n2,n2)+ & ssA(n1,n2) != ssA(n2,n3)+ & ssA(n1,n2) != ssA(n3,n1)+ & ssA(n1,n2) != ssA(n3,n2)+ & ssA(n1,n2) != ssA(n3,n3)+ & ssA(n1,n3) != ssA(n2,n1)+ & ssA(n1,n3) != ssA(n2,n2)+ & ssA(n1,n3) != ssA(n2,n3)+ & ssA(n1,n3) != ssA(n3,n1)+ & ssA(n1,n3) != ssA(n3,n2)+ & ssA(n1,n3) != ssA(n3,n3)+ & ssA(n2,n1) != ssA(n2,n2)+ & ssA(n2,n1) != ssA(n2,n3)+ & ssA(n2,n1) != ssA(n3,n1)+ & ssA(n2,n1) != ssA(n3,n2)+ & ssA(n2,n1) != ssA(n3,n3)+ & ssA(n2,n2) != ssA(n2,n3)+ & ssA(n2,n2) != ssA(n3,n1)+ & ssA(n2,n2) != ssA(n3,n2)+ & ssA(n2,n2) != ssA(n3,n3)+ & ssA(n2,n3) != ssA(n3,n1)+ & ssA(n2,n3) != ssA(n3,n2)+ & ssA(n2,n3) != ssA(n3,n3)+ & ssA(n3,n1) != ssA(n3,n2)+ & ssA(n3,n1) != ssA(n3,n3)+ & ssA(n3,n2) != ssA(n3,n3) )).++fof(ax192,axiom,+ ( ssA(n1,n4) = n1+ | ssA(n1,n5) = n1+ | ssA(n1,n6) = n1+ | ssA(n2,n4) = n1+ | ssA(n2,n5) = n1+ | ssA(n2,n6) = n1+ | ssA(n3,n4) = n1+ | ssA(n3,n5) = n1+ | ssA(n3,n6) = n1 )).++fof(ax193,axiom,+ ( ssA(n1,n4) = n2+ | ssA(n1,n5) = n2+ | ssA(n1,n6) = n2+ | ssA(n2,n4) = n2+ | ssA(n2,n5) = n2+ | ssA(n2,n6) = n2+ | ssA(n3,n4) = n2+ | ssA(n3,n5) = n2+ | ssA(n3,n6) = n2 )).++fof(ax194,axiom,+ ( ssA(n1,n4) = n3+ | ssA(n1,n5) = n3+ | ssA(n1,n6) = n3+ | ssA(n2,n4) = n3+ | ssA(n2,n5) = n3+ | ssA(n2,n6) = n3+ | ssA(n3,n4) = n3+ | ssA(n3,n5) = n3+ | ssA(n3,n6) = n3 )).++fof(ax195,axiom,+ ( ssA(n1,n4) = n4+ | ssA(n1,n5) = n4+ | ssA(n1,n6) = n4+ | ssA(n2,n4) = n4+ | ssA(n2,n5) = n4+ | ssA(n2,n6) = n4+ | ssA(n3,n4) = n4+ | ssA(n3,n5) = n4+ | ssA(n3,n6) = n4 )).++fof(ax196,axiom,+ ( ssA(n1,n4) = n5+ | ssA(n1,n5) = n5+ | ssA(n1,n6) = n5+ | ssA(n2,n4) = n5+ | ssA(n2,n5) = n5+ | ssA(n2,n6) = n5+ | ssA(n3,n4) = n5+ | ssA(n3,n5) = n5+ | ssA(n3,n6) = n5 )).++fof(ax197,axiom,+ ( ssA(n1,n4) = n6+ | ssA(n1,n5) = n6+ | ssA(n1,n6) = n6+ | ssA(n2,n4) = n6+ | ssA(n2,n5) = n6+ | ssA(n2,n6) = n6+ | ssA(n3,n4) = n6+ | ssA(n3,n5) = n6+ | ssA(n3,n6) = n6 )).++fof(ax198,axiom,+ ( ssA(n1,n4) = n7+ | ssA(n1,n5) = n7+ | ssA(n1,n6) = n7+ | ssA(n2,n4) = n7+ | ssA(n2,n5) = n7+ | ssA(n2,n6) = n7+ | ssA(n3,n4) = n7+ | ssA(n3,n5) = n7+ | ssA(n3,n6) = n7 )).++fof(ax199,axiom,+ ( ssA(n1,n4) = n8+ | ssA(n1,n5) = n8+ | ssA(n1,n6) = n8+ | ssA(n2,n4) = n8+ | ssA(n2,n5) = n8+ | ssA(n2,n6) = n8+ | ssA(n3,n4) = n8+ | ssA(n3,n5) = n8+ | ssA(n3,n6) = n8 )).++fof(ax200,axiom,+ ( ssA(n1,n4) = n9+ | ssA(n1,n5) = n9+ | ssA(n1,n6) = n9+ | ssA(n2,n4) = n9+ | ssA(n2,n5) = n9+ | ssA(n2,n6) = n9+ | ssA(n3,n4) = n9+ | ssA(n3,n5) = n9+ | ssA(n3,n6) = n9 )).++fof(ax201,axiom,+ ( ssA(n1,n4) != ssA(n1,n5)+ & ssA(n1,n4) != ssA(n1,n6)+ & ssA(n1,n4) != ssA(n2,n4)+ & ssA(n1,n4) != ssA(n2,n5)+ & ssA(n1,n4) != ssA(n2,n6)+ & ssA(n1,n4) != ssA(n3,n4)+ & ssA(n1,n4) != ssA(n3,n5)+ & ssA(n1,n4) != ssA(n3,n6)+ & ssA(n1,n5) != ssA(n1,n6)+ & ssA(n1,n5) != ssA(n2,n4)+ & ssA(n1,n5) != ssA(n2,n5)+ & ssA(n1,n5) != ssA(n2,n6)+ & ssA(n1,n5) != ssA(n3,n4)+ & ssA(n1,n5) != ssA(n3,n5)+ & ssA(n1,n5) != ssA(n3,n6)+ & ssA(n1,n6) != ssA(n2,n4)+ & ssA(n1,n6) != ssA(n2,n5)+ & ssA(n1,n6) != ssA(n2,n6)+ & ssA(n1,n6) != ssA(n3,n4)+ & ssA(n1,n6) != ssA(n3,n5)+ & ssA(n1,n6) != ssA(n3,n6)+ & ssA(n2,n4) != ssA(n2,n5)+ & ssA(n2,n4) != ssA(n2,n6)+ & ssA(n2,n4) != ssA(n3,n4)+ & ssA(n2,n4) != ssA(n3,n5)+ & ssA(n2,n4) != ssA(n3,n6)+ & ssA(n2,n5) != ssA(n2,n6)+ & ssA(n2,n5) != ssA(n3,n4)+ & ssA(n2,n5) != ssA(n3,n5)+ & ssA(n2,n5) != ssA(n3,n6)+ & ssA(n2,n6) != ssA(n3,n4)+ & ssA(n2,n6) != ssA(n3,n5)+ & ssA(n2,n6) != ssA(n3,n6)+ & ssA(n3,n4) != ssA(n3,n5)+ & ssA(n3,n4) != ssA(n3,n6)+ & ssA(n3,n5) != ssA(n3,n6) )).++fof(ax202,axiom,+ ( ssA(n1,n7) = n1+ | ssA(n1,n8) = n1+ | ssA(n1,n9) = n1+ | ssA(n2,n7) = n1+ | ssA(n2,n8) = n1+ | ssA(n2,n9) = n1+ | ssA(n3,n7) = n1+ | ssA(n3,n8) = n1+ | ssA(n3,n9) = n1 )).++fof(ax203,axiom,+ ( ssA(n1,n7) = n2+ | ssA(n1,n8) = n2+ | ssA(n1,n9) = n2+ | ssA(n2,n7) = n2+ | ssA(n2,n8) = n2+ | ssA(n2,n9) = n2+ | ssA(n3,n7) = n2+ | ssA(n3,n8) = n2+ | ssA(n3,n9) = n2 )).++fof(ax204,axiom,+ ( ssA(n1,n7) = n3+ | ssA(n1,n8) = n3+ | ssA(n1,n9) = n3+ | ssA(n2,n7) = n3+ | ssA(n2,n8) = n3+ | ssA(n2,n9) = n3+ | ssA(n3,n7) = n3+ | ssA(n3,n8) = n3+ | ssA(n3,n9) = n3 )).++fof(ax205,axiom,+ ( ssA(n1,n7) = n4+ | ssA(n1,n8) = n4+ | ssA(n1,n9) = n4+ | ssA(n2,n7) = n4+ | ssA(n2,n8) = n4+ | ssA(n2,n9) = n4+ | ssA(n3,n7) = n4+ | ssA(n3,n8) = n4+ | ssA(n3,n9) = n4 )).++fof(ax206,axiom,+ ( ssA(n1,n7) = n5+ | ssA(n1,n8) = n5+ | ssA(n1,n9) = n5+ | ssA(n2,n7) = n5+ | ssA(n2,n8) = n5+ | ssA(n2,n9) = n5+ | ssA(n3,n7) = n5+ | ssA(n3,n8) = n5+ | ssA(n3,n9) = n5 )).++fof(ax207,axiom,+ ( ssA(n1,n7) = n6+ | ssA(n1,n8) = n6+ | ssA(n1,n9) = n6+ | ssA(n2,n7) = n6+ | ssA(n2,n8) = n6+ | ssA(n2,n9) = n6+ | ssA(n3,n7) = n6+ | ssA(n3,n8) = n6+ | ssA(n3,n9) = n6 )).++fof(ax208,axiom,+ ( ssA(n1,n7) = n7+ | ssA(n1,n8) = n7+ | ssA(n1,n9) = n7+ | ssA(n2,n7) = n7+ | ssA(n2,n8) = n7+ | ssA(n2,n9) = n7+ | ssA(n3,n7) = n7+ | ssA(n3,n8) = n7+ | ssA(n3,n9) = n7 )).++fof(ax209,axiom,+ ( ssA(n1,n7) = n8+ | ssA(n1,n8) = n8+ | ssA(n1,n9) = n8+ | ssA(n2,n7) = n8+ | ssA(n2,n8) = n8+ | ssA(n2,n9) = n8+ | ssA(n3,n7) = n8+ | ssA(n3,n8) = n8+ | ssA(n3,n9) = n8 )).++fof(ax210,axiom,+ ( ssA(n1,n7) = n9+ | ssA(n1,n8) = n9+ | ssA(n1,n9) = n9+ | ssA(n2,n7) = n9+ | ssA(n2,n8) = n9+ | ssA(n2,n9) = n9+ | ssA(n3,n7) = n9+ | ssA(n3,n8) = n9+ | ssA(n3,n9) = n9 )).++fof(ax211,axiom,+ ( ssA(n1,n7) != ssA(n1,n8)+ & ssA(n1,n7) != ssA(n1,n9)+ & ssA(n1,n7) != ssA(n2,n7)+ & ssA(n1,n7) != ssA(n2,n8)+ & ssA(n1,n7) != ssA(n2,n9)+ & ssA(n1,n7) != ssA(n3,n7)+ & ssA(n1,n7) != ssA(n3,n8)+ & ssA(n1,n7) != ssA(n3,n9)+ & ssA(n1,n8) != ssA(n1,n9)+ & ssA(n1,n8) != ssA(n2,n7)+ & ssA(n1,n8) != ssA(n2,n8)+ & ssA(n1,n8) != ssA(n2,n9)+ & ssA(n1,n8) != ssA(n3,n7)+ & ssA(n1,n8) != ssA(n3,n8)+ & ssA(n1,n8) != ssA(n3,n9)+ & ssA(n1,n9) != ssA(n2,n7)+ & ssA(n1,n9) != ssA(n2,n8)+ & ssA(n1,n9) != ssA(n2,n9)+ & ssA(n1,n9) != ssA(n3,n7)+ & ssA(n1,n9) != ssA(n3,n8)+ & ssA(n1,n9) != ssA(n3,n9)+ & ssA(n2,n7) != ssA(n2,n8)+ & ssA(n2,n7) != ssA(n2,n9)+ & ssA(n2,n7) != ssA(n3,n7)+ & ssA(n2,n7) != ssA(n3,n8)+ & ssA(n2,n7) != ssA(n3,n9)+ & ssA(n2,n8) != ssA(n2,n9)+ & ssA(n2,n8) != ssA(n3,n7)+ & ssA(n2,n8) != ssA(n3,n8)+ & ssA(n2,n8) != ssA(n3,n9)+ & ssA(n2,n9) != ssA(n3,n7)+ & ssA(n2,n9) != ssA(n3,n8)+ & ssA(n2,n9) != ssA(n3,n9)+ & ssA(n3,n7) != ssA(n3,n8)+ & ssA(n3,n7) != ssA(n3,n9)+ & ssA(n3,n8) != ssA(n3,n9) )).++fof(ax212,axiom,+ ( ssA(n4,n1) = n1+ | ssA(n4,n2) = n1+ | ssA(n4,n3) = n1+ | ssA(n5,n1) = n1+ | ssA(n5,n2) = n1+ | ssA(n5,n3) = n1+ | ssA(n6,n1) = n1+ | ssA(n6,n2) = n1+ | ssA(n6,n3) = n1 )).++fof(ax213,axiom,+ ( ssA(n4,n1) = n2+ | ssA(n4,n2) = n2+ | ssA(n4,n3) = n2+ | ssA(n5,n1) = n2+ | ssA(n5,n2) = n2+ | ssA(n5,n3) = n2+ | ssA(n6,n1) = n2+ | ssA(n6,n2) = n2+ | ssA(n6,n3) = n2 )).++fof(ax214,axiom,+ ( ssA(n4,n1) = n3+ | ssA(n4,n2) = n3+ | ssA(n4,n3) = n3+ | ssA(n5,n1) = n3+ | ssA(n5,n2) = n3+ | ssA(n5,n3) = n3+ | ssA(n6,n1) = n3+ | ssA(n6,n2) = n3+ | ssA(n6,n3) = n3 )).++fof(ax215,axiom,+ ( ssA(n4,n1) = n4+ | ssA(n4,n2) = n4+ | ssA(n4,n3) = n4+ | ssA(n5,n1) = n4+ | ssA(n5,n2) = n4+ | ssA(n5,n3) = n4+ | ssA(n6,n1) = n4+ | ssA(n6,n2) = n4+ | ssA(n6,n3) = n4 )).++fof(ax216,axiom,+ ( ssA(n4,n1) = n5+ | ssA(n4,n2) = n5+ | ssA(n4,n3) = n5+ | ssA(n5,n1) = n5+ | ssA(n5,n2) = n5+ | ssA(n5,n3) = n5+ | ssA(n6,n1) = n5+ | ssA(n6,n2) = n5+ | ssA(n6,n3) = n5 )).++fof(ax217,axiom,+ ( ssA(n4,n1) = n6+ | ssA(n4,n2) = n6+ | ssA(n4,n3) = n6+ | ssA(n5,n1) = n6+ | ssA(n5,n2) = n6+ | ssA(n5,n3) = n6+ | ssA(n6,n1) = n6+ | ssA(n6,n2) = n6+ | ssA(n6,n3) = n6 )).++fof(ax218,axiom,+ ( ssA(n4,n1) = n7+ | ssA(n4,n2) = n7+ | ssA(n4,n3) = n7+ | ssA(n5,n1) = n7+ | ssA(n5,n2) = n7+ | ssA(n5,n3) = n7+ | ssA(n6,n1) = n7+ | ssA(n6,n2) = n7+ | ssA(n6,n3) = n7 )).++fof(ax219,axiom,+ ( ssA(n4,n1) = n8+ | ssA(n4,n2) = n8+ | ssA(n4,n3) = n8+ | ssA(n5,n1) = n8+ | ssA(n5,n2) = n8+ | ssA(n5,n3) = n8+ | ssA(n6,n1) = n8+ | ssA(n6,n2) = n8+ | ssA(n6,n3) = n8 )).++fof(ax220,axiom,+ ( ssA(n4,n1) = n9+ | ssA(n4,n2) = n9+ | ssA(n4,n3) = n9+ | ssA(n5,n1) = n9+ | ssA(n5,n2) = n9+ | ssA(n5,n3) = n9+ | ssA(n6,n1) = n9+ | ssA(n6,n2) = n9+ | ssA(n6,n3) = n9 )).++fof(ax221,axiom,+ ( ssA(n4,n1) != ssA(n4,n2)+ & ssA(n4,n1) != ssA(n4,n3)+ & ssA(n4,n1) != ssA(n5,n1)+ & ssA(n4,n1) != ssA(n5,n2)+ & ssA(n4,n1) != ssA(n5,n3)+ & ssA(n4,n1) != ssA(n6,n1)+ & ssA(n4,n1) != ssA(n6,n2)+ & ssA(n4,n1) != ssA(n6,n3)+ & ssA(n4,n2) != ssA(n4,n3)+ & ssA(n4,n2) != ssA(n5,n1)+ & ssA(n4,n2) != ssA(n5,n2)+ & ssA(n4,n2) != ssA(n5,n3)+ & ssA(n4,n2) != ssA(n6,n1)+ & ssA(n4,n2) != ssA(n6,n2)+ & ssA(n4,n2) != ssA(n6,n3)+ & ssA(n4,n3) != ssA(n5,n1)+ & ssA(n4,n3) != ssA(n5,n2)+ & ssA(n4,n3) != ssA(n5,n3)+ & ssA(n4,n3) != ssA(n6,n1)+ & ssA(n4,n3) != ssA(n6,n2)+ & ssA(n4,n3) != ssA(n6,n3)+ & ssA(n5,n1) != ssA(n5,n2)+ & ssA(n5,n1) != ssA(n5,n3)+ & ssA(n5,n1) != ssA(n6,n1)+ & ssA(n5,n1) != ssA(n6,n2)+ & ssA(n5,n1) != ssA(n6,n3)+ & ssA(n5,n2) != ssA(n5,n3)+ & ssA(n5,n2) != ssA(n6,n1)+ & ssA(n5,n2) != ssA(n6,n2)+ & ssA(n5,n2) != ssA(n6,n3)+ & ssA(n5,n3) != ssA(n6,n1)+ & ssA(n5,n3) != ssA(n6,n2)+ & ssA(n5,n3) != ssA(n6,n3)+ & ssA(n6,n1) != ssA(n6,n2)+ & ssA(n6,n1) != ssA(n6,n3)+ & ssA(n6,n2) != ssA(n6,n3) )).++fof(ax222,axiom,+ ( ssA(n4,n4) = n1+ | ssA(n4,n5) = n1+ | ssA(n4,n6) = n1+ | ssA(n5,n4) = n1+ | ssA(n5,n5) = n1+ | ssA(n5,n6) = n1+ | ssA(n6,n4) = n1+ | ssA(n6,n5) = n1+ | ssA(n6,n6) = n1 )).++fof(ax223,axiom,+ ( ssA(n4,n4) = n2+ | ssA(n4,n5) = n2+ | ssA(n4,n6) = n2+ | ssA(n5,n4) = n2+ | ssA(n5,n5) = n2+ | ssA(n5,n6) = n2+ | ssA(n6,n4) = n2+ | ssA(n6,n5) = n2+ | ssA(n6,n6) = n2 )).++fof(ax224,axiom,+ ( ssA(n4,n4) = n3+ | ssA(n4,n5) = n3+ | ssA(n4,n6) = n3+ | ssA(n5,n4) = n3+ | ssA(n5,n5) = n3+ | ssA(n5,n6) = n3+ | ssA(n6,n4) = n3+ | ssA(n6,n5) = n3+ | ssA(n6,n6) = n3 )).++fof(ax225,axiom,+ ( ssA(n4,n4) = n4+ | ssA(n4,n5) = n4+ | ssA(n4,n6) = n4+ | ssA(n5,n4) = n4+ | ssA(n5,n5) = n4+ | ssA(n5,n6) = n4+ | ssA(n6,n4) = n4+ | ssA(n6,n5) = n4+ | ssA(n6,n6) = n4 )).++fof(ax226,axiom,+ ( ssA(n4,n4) = n5+ | ssA(n4,n5) = n5+ | ssA(n4,n6) = n5+ | ssA(n5,n4) = n5+ | ssA(n5,n5) = n5+ | ssA(n5,n6) = n5+ | ssA(n6,n4) = n5+ | ssA(n6,n5) = n5+ | ssA(n6,n6) = n5 )).++fof(ax227,axiom,+ ( ssA(n4,n4) = n6+ | ssA(n4,n5) = n6+ | ssA(n4,n6) = n6+ | ssA(n5,n4) = n6+ | ssA(n5,n5) = n6+ | ssA(n5,n6) = n6+ | ssA(n6,n4) = n6+ | ssA(n6,n5) = n6+ | ssA(n6,n6) = n6 )).++fof(ax228,axiom,+ ( ssA(n4,n4) = n7+ | ssA(n4,n5) = n7+ | ssA(n4,n6) = n7+ | ssA(n5,n4) = n7+ | ssA(n5,n5) = n7+ | ssA(n5,n6) = n7+ | ssA(n6,n4) = n7+ | ssA(n6,n5) = n7+ | ssA(n6,n6) = n7 )).++fof(ax229,axiom,+ ( ssA(n4,n4) = n8+ | ssA(n4,n5) = n8+ | ssA(n4,n6) = n8+ | ssA(n5,n4) = n8+ | ssA(n5,n5) = n8+ | ssA(n5,n6) = n8+ | ssA(n6,n4) = n8+ | ssA(n6,n5) = n8+ | ssA(n6,n6) = n8 )).++fof(ax230,axiom,+ ( ssA(n4,n4) = n9+ | ssA(n4,n5) = n9+ | ssA(n4,n6) = n9+ | ssA(n5,n4) = n9+ | ssA(n5,n5) = n9+ | ssA(n5,n6) = n9+ | ssA(n6,n4) = n9+ | ssA(n6,n5) = n9+ | ssA(n6,n6) = n9 )).++fof(ax231,axiom,+ ( ssA(n4,n4) != ssA(n4,n5)+ & ssA(n4,n4) != ssA(n4,n6)+ & ssA(n4,n4) != ssA(n5,n4)+ & ssA(n4,n4) != ssA(n5,n5)+ & ssA(n4,n4) != ssA(n5,n6)+ & ssA(n4,n4) != ssA(n6,n4)+ & ssA(n4,n4) != ssA(n6,n5)+ & ssA(n4,n4) != ssA(n6,n6)+ & ssA(n4,n5) != ssA(n4,n6)+ & ssA(n4,n5) != ssA(n5,n4)+ & ssA(n4,n5) != ssA(n5,n5)+ & ssA(n4,n5) != ssA(n5,n6)+ & ssA(n4,n5) != ssA(n6,n4)+ & ssA(n4,n5) != ssA(n6,n5)+ & ssA(n4,n5) != ssA(n6,n6)+ & ssA(n4,n6) != ssA(n5,n4)+ & ssA(n4,n6) != ssA(n5,n5)+ & ssA(n4,n6) != ssA(n5,n6)+ & ssA(n4,n6) != ssA(n6,n4)+ & ssA(n4,n6) != ssA(n6,n5)+ & ssA(n4,n6) != ssA(n6,n6)+ & ssA(n5,n4) != ssA(n5,n5)+ & ssA(n5,n4) != ssA(n5,n6)+ & ssA(n5,n4) != ssA(n6,n4)+ & ssA(n5,n4) != ssA(n6,n5)+ & ssA(n5,n4) != ssA(n6,n6)+ & ssA(n5,n5) != ssA(n5,n6)+ & ssA(n5,n5) != ssA(n6,n4)+ & ssA(n5,n5) != ssA(n6,n5)+ & ssA(n5,n5) != ssA(n6,n6)+ & ssA(n5,n6) != ssA(n6,n4)+ & ssA(n5,n6) != ssA(n6,n5)+ & ssA(n5,n6) != ssA(n6,n6)+ & ssA(n6,n4) != ssA(n6,n5)+ & ssA(n6,n4) != ssA(n6,n6)+ & ssA(n6,n5) != ssA(n6,n6) )).++fof(ax232,axiom,+ ( ssA(n4,n7) = n1+ | ssA(n4,n8) = n1+ | ssA(n4,n9) = n1+ | ssA(n5,n7) = n1+ | ssA(n5,n8) = n1+ | ssA(n5,n9) = n1+ | ssA(n6,n7) = n1+ | ssA(n6,n8) = n1+ | ssA(n6,n9) = n1 )).++fof(ax233,axiom,+ ( ssA(n4,n7) = n2+ | ssA(n4,n8) = n2+ | ssA(n4,n9) = n2+ | ssA(n5,n7) = n2+ | ssA(n5,n8) = n2+ | ssA(n5,n9) = n2+ | ssA(n6,n7) = n2+ | ssA(n6,n8) = n2+ | ssA(n6,n9) = n2 )).++fof(ax234,axiom,+ ( ssA(n4,n7) = n3+ | ssA(n4,n8) = n3+ | ssA(n4,n9) = n3+ | ssA(n5,n7) = n3+ | ssA(n5,n8) = n3+ | ssA(n5,n9) = n3+ | ssA(n6,n7) = n3+ | ssA(n6,n8) = n3+ | ssA(n6,n9) = n3 )).++fof(ax235,axiom,+ ( ssA(n4,n7) = n4+ | ssA(n4,n8) = n4+ | ssA(n4,n9) = n4+ | ssA(n5,n7) = n4+ | ssA(n5,n8) = n4+ | ssA(n5,n9) = n4+ | ssA(n6,n7) = n4+ | ssA(n6,n8) = n4+ | ssA(n6,n9) = n4 )).++fof(ax236,axiom,+ ( ssA(n4,n7) = n5+ | ssA(n4,n8) = n5+ | ssA(n4,n9) = n5+ | ssA(n5,n7) = n5+ | ssA(n5,n8) = n5+ | ssA(n5,n9) = n5+ | ssA(n6,n7) = n5+ | ssA(n6,n8) = n5+ | ssA(n6,n9) = n5 )).++fof(ax237,axiom,+ ( ssA(n4,n7) = n6+ | ssA(n4,n8) = n6+ | ssA(n4,n9) = n6+ | ssA(n5,n7) = n6+ | ssA(n5,n8) = n6+ | ssA(n5,n9) = n6+ | ssA(n6,n7) = n6+ | ssA(n6,n8) = n6+ | ssA(n6,n9) = n6 )).++fof(ax238,axiom,+ ( ssA(n4,n7) = n7+ | ssA(n4,n8) = n7+ | ssA(n4,n9) = n7+ | ssA(n5,n7) = n7+ | ssA(n5,n8) = n7+ | ssA(n5,n9) = n7+ | ssA(n6,n7) = n7+ | ssA(n6,n8) = n7+ | ssA(n6,n9) = n7 )).++fof(ax239,axiom,+ ( ssA(n4,n7) = n8+ | ssA(n4,n8) = n8+ | ssA(n4,n9) = n8+ | ssA(n5,n7) = n8+ | ssA(n5,n8) = n8+ | ssA(n5,n9) = n8+ | ssA(n6,n7) = n8+ | ssA(n6,n8) = n8+ | ssA(n6,n9) = n8 )).++fof(ax240,axiom,+ ( ssA(n4,n7) = n9+ | ssA(n4,n8) = n9+ | ssA(n4,n9) = n9+ | ssA(n5,n7) = n9+ | ssA(n5,n8) = n9+ | ssA(n5,n9) = n9+ | ssA(n6,n7) = n9+ | ssA(n6,n8) = n9+ | ssA(n6,n9) = n9 )).++fof(ax241,axiom,+ ( ssA(n4,n7) != ssA(n4,n8)+ & ssA(n4,n7) != ssA(n4,n9)+ & ssA(n4,n7) != ssA(n5,n7)+ & ssA(n4,n7) != ssA(n5,n8)+ & ssA(n4,n7) != ssA(n5,n9)+ & ssA(n4,n7) != ssA(n6,n7)+ & ssA(n4,n7) != ssA(n6,n8)+ & ssA(n4,n7) != ssA(n6,n9)+ & ssA(n4,n8) != ssA(n4,n9)+ & ssA(n4,n8) != ssA(n5,n7)+ & ssA(n4,n8) != ssA(n5,n8)+ & ssA(n4,n8) != ssA(n5,n9)+ & ssA(n4,n8) != ssA(n6,n7)+ & ssA(n4,n8) != ssA(n6,n8)+ & ssA(n4,n8) != ssA(n6,n9)+ & ssA(n4,n9) != ssA(n5,n7)+ & ssA(n4,n9) != ssA(n5,n8)+ & ssA(n4,n9) != ssA(n5,n9)+ & ssA(n4,n9) != ssA(n6,n7)+ & ssA(n4,n9) != ssA(n6,n8)+ & ssA(n4,n9) != ssA(n6,n9)+ & ssA(n5,n7) != ssA(n5,n8)+ & ssA(n5,n7) != ssA(n5,n9)+ & ssA(n5,n7) != ssA(n6,n7)+ & ssA(n5,n7) != ssA(n6,n8)+ & ssA(n5,n7) != ssA(n6,n9)+ & ssA(n5,n8) != ssA(n5,n9)+ & ssA(n5,n8) != ssA(n6,n7)+ & ssA(n5,n8) != ssA(n6,n8)+ & ssA(n5,n8) != ssA(n6,n9)+ & ssA(n5,n9) != ssA(n6,n7)+ & ssA(n5,n9) != ssA(n6,n8)+ & ssA(n5,n9) != ssA(n6,n9)+ & ssA(n6,n7) != ssA(n6,n8)+ & ssA(n6,n7) != ssA(n6,n9)+ & ssA(n6,n8) != ssA(n6,n9) )).++fof(ax242,axiom,+ ( ssA(n7,n1) = n1+ | ssA(n7,n2) = n1+ | ssA(n7,n3) = n1+ | ssA(n8,n1) = n1+ | ssA(n8,n2) = n1+ | ssA(n8,n3) = n1+ | ssA(n9,n1) = n1+ | ssA(n9,n2) = n1+ | ssA(n9,n3) = n1 )).++fof(ax243,axiom,+ ( ssA(n7,n1) = n2+ | ssA(n7,n2) = n2+ | ssA(n7,n3) = n2+ | ssA(n8,n1) = n2+ | ssA(n8,n2) = n2+ | ssA(n8,n3) = n2+ | ssA(n9,n1) = n2+ | ssA(n9,n2) = n2+ | ssA(n9,n3) = n2 )).++fof(ax244,axiom,+ ( ssA(n7,n1) = n3+ | ssA(n7,n2) = n3+ | ssA(n7,n3) = n3+ | ssA(n8,n1) = n3+ | ssA(n8,n2) = n3+ | ssA(n8,n3) = n3+ | ssA(n9,n1) = n3+ | ssA(n9,n2) = n3+ | ssA(n9,n3) = n3 )).++fof(ax245,axiom,+ ( ssA(n7,n1) = n4+ | ssA(n7,n2) = n4+ | ssA(n7,n3) = n4+ | ssA(n8,n1) = n4+ | ssA(n8,n2) = n4+ | ssA(n8,n3) = n4+ | ssA(n9,n1) = n4+ | ssA(n9,n2) = n4+ | ssA(n9,n3) = n4 )).++fof(ax246,axiom,+ ( ssA(n7,n1) = n5+ | ssA(n7,n2) = n5+ | ssA(n7,n3) = n5+ | ssA(n8,n1) = n5+ | ssA(n8,n2) = n5+ | ssA(n8,n3) = n5+ | ssA(n9,n1) = n5+ | ssA(n9,n2) = n5+ | ssA(n9,n3) = n5 )).++fof(ax247,axiom,+ ( ssA(n7,n1) = n6+ | ssA(n7,n2) = n6+ | ssA(n7,n3) = n6+ | ssA(n8,n1) = n6+ | ssA(n8,n2) = n6+ | ssA(n8,n3) = n6+ | ssA(n9,n1) = n6+ | ssA(n9,n2) = n6+ | ssA(n9,n3) = n6 )).++fof(ax248,axiom,+ ( ssA(n7,n1) = n7+ | ssA(n7,n2) = n7+ | ssA(n7,n3) = n7+ | ssA(n8,n1) = n7+ | ssA(n8,n2) = n7+ | ssA(n8,n3) = n7+ | ssA(n9,n1) = n7+ | ssA(n9,n2) = n7+ | ssA(n9,n3) = n7 )).++fof(ax249,axiom,+ ( ssA(n7,n1) = n8+ | ssA(n7,n2) = n8+ | ssA(n7,n3) = n8+ | ssA(n8,n1) = n8+ | ssA(n8,n2) = n8+ | ssA(n8,n3) = n8+ | ssA(n9,n1) = n8+ | ssA(n9,n2) = n8+ | ssA(n9,n3) = n8 )).++fof(ax250,axiom,+ ( ssA(n7,n1) = n9+ | ssA(n7,n2) = n9+ | ssA(n7,n3) = n9+ | ssA(n8,n1) = n9+ | ssA(n8,n2) = n9+ | ssA(n8,n3) = n9+ | ssA(n9,n1) = n9+ | ssA(n9,n2) = n9+ | ssA(n9,n3) = n9 )).++fof(ax251,axiom,+ ( ssA(n7,n1) != ssA(n7,n2)+ & ssA(n7,n1) != ssA(n7,n3)+ & ssA(n7,n1) != ssA(n8,n1)+ & ssA(n7,n1) != ssA(n8,n2)+ & ssA(n7,n1) != ssA(n8,n3)+ & ssA(n7,n1) != ssA(n9,n1)+ & ssA(n7,n1) != ssA(n9,n2)+ & ssA(n7,n1) != ssA(n9,n3)+ & ssA(n7,n2) != ssA(n7,n3)+ & ssA(n7,n2) != ssA(n8,n1)+ & ssA(n7,n2) != ssA(n8,n2)+ & ssA(n7,n2) != ssA(n8,n3)+ & ssA(n7,n2) != ssA(n9,n1)+ & ssA(n7,n2) != ssA(n9,n2)+ & ssA(n7,n2) != ssA(n9,n3)+ & ssA(n7,n3) != ssA(n8,n1)+ & ssA(n7,n3) != ssA(n8,n2)+ & ssA(n7,n3) != ssA(n8,n3)+ & ssA(n7,n3) != ssA(n9,n1)+ & ssA(n7,n3) != ssA(n9,n2)+ & ssA(n7,n3) != ssA(n9,n3)+ & ssA(n8,n1) != ssA(n8,n2)+ & ssA(n8,n1) != ssA(n8,n3)+ & ssA(n8,n1) != ssA(n9,n1)+ & ssA(n8,n1) != ssA(n9,n2)+ & ssA(n8,n1) != ssA(n9,n3)+ & ssA(n8,n2) != ssA(n8,n3)+ & ssA(n8,n2) != ssA(n9,n1)+ & ssA(n8,n2) != ssA(n9,n2)+ & ssA(n8,n2) != ssA(n9,n3)+ & ssA(n8,n3) != ssA(n9,n1)+ & ssA(n8,n3) != ssA(n9,n2)+ & ssA(n8,n3) != ssA(n9,n3)+ & ssA(n9,n1) != ssA(n9,n2)+ & ssA(n9,n1) != ssA(n9,n3)+ & ssA(n9,n2) != ssA(n9,n3) )).++fof(ax252,axiom,+ ( ssA(n7,n4) = n1+ | ssA(n7,n5) = n1+ | ssA(n7,n6) = n1+ | ssA(n8,n4) = n1+ | ssA(n8,n5) = n1+ | ssA(n8,n6) = n1+ | ssA(n9,n4) = n1+ | ssA(n9,n5) = n1+ | ssA(n9,n6) = n1 )).++fof(ax253,axiom,+ ( ssA(n7,n4) = n2+ | ssA(n7,n5) = n2+ | ssA(n7,n6) = n2+ | ssA(n8,n4) = n2+ | ssA(n8,n5) = n2+ | ssA(n8,n6) = n2+ | ssA(n9,n4) = n2+ | ssA(n9,n5) = n2+ | ssA(n9,n6) = n2 )).++fof(ax254,axiom,+ ( ssA(n7,n4) = n3+ | ssA(n7,n5) = n3+ | ssA(n7,n6) = n3+ | ssA(n8,n4) = n3+ | ssA(n8,n5) = n3+ | ssA(n8,n6) = n3+ | ssA(n9,n4) = n3+ | ssA(n9,n5) = n3+ | ssA(n9,n6) = n3 )).++fof(ax255,axiom,+ ( ssA(n7,n4) = n4+ | ssA(n7,n5) = n4+ | ssA(n7,n6) = n4+ | ssA(n8,n4) = n4+ | ssA(n8,n5) = n4+ | ssA(n8,n6) = n4+ | ssA(n9,n4) = n4+ | ssA(n9,n5) = n4+ | ssA(n9,n6) = n4 )).++fof(ax256,axiom,+ ( ssA(n7,n4) = n5+ | ssA(n7,n5) = n5+ | ssA(n7,n6) = n5+ | ssA(n8,n4) = n5+ | ssA(n8,n5) = n5+ | ssA(n8,n6) = n5+ | ssA(n9,n4) = n5+ | ssA(n9,n5) = n5+ | ssA(n9,n6) = n5 )).++fof(ax257,axiom,+ ( ssA(n7,n4) = n6+ | ssA(n7,n5) = n6+ | ssA(n7,n6) = n6+ | ssA(n8,n4) = n6+ | ssA(n8,n5) = n6+ | ssA(n8,n6) = n6+ | ssA(n9,n4) = n6+ | ssA(n9,n5) = n6+ | ssA(n9,n6) = n6 )).++fof(ax258,axiom,+ ( ssA(n7,n4) = n7+ | ssA(n7,n5) = n7+ | ssA(n7,n6) = n7+ | ssA(n8,n4) = n7+ | ssA(n8,n5) = n7+ | ssA(n8,n6) = n7+ | ssA(n9,n4) = n7+ | ssA(n9,n5) = n7+ | ssA(n9,n6) = n7 )).++fof(ax259,axiom,+ ( ssA(n7,n4) = n8+ | ssA(n7,n5) = n8+ | ssA(n7,n6) = n8+ | ssA(n8,n4) = n8+ | ssA(n8,n5) = n8+ | ssA(n8,n6) = n8+ | ssA(n9,n4) = n8+ | ssA(n9,n5) = n8+ | ssA(n9,n6) = n8 )).++fof(ax260,axiom,+ ( ssA(n7,n4) = n9+ | ssA(n7,n5) = n9+ | ssA(n7,n6) = n9+ | ssA(n8,n4) = n9+ | ssA(n8,n5) = n9+ | ssA(n8,n6) = n9+ | ssA(n9,n4) = n9+ | ssA(n9,n5) = n9+ | ssA(n9,n6) = n9 )).++fof(ax261,axiom,+ ( ssA(n7,n4) != ssA(n7,n5)+ & ssA(n7,n4) != ssA(n7,n6)+ & ssA(n7,n4) != ssA(n8,n4)+ & ssA(n7,n4) != ssA(n8,n5)+ & ssA(n7,n4) != ssA(n8,n6)+ & ssA(n7,n4) != ssA(n9,n4)+ & ssA(n7,n4) != ssA(n9,n5)+ & ssA(n7,n4) != ssA(n9,n6)+ & ssA(n7,n5) != ssA(n7,n6)+ & ssA(n7,n5) != ssA(n8,n4)+ & ssA(n7,n5) != ssA(n8,n5)+ & ssA(n7,n5) != ssA(n8,n6)+ & ssA(n7,n5) != ssA(n9,n4)+ & ssA(n7,n5) != ssA(n9,n5)+ & ssA(n7,n5) != ssA(n9,n6)+ & ssA(n7,n6) != ssA(n8,n4)+ & ssA(n7,n6) != ssA(n8,n5)+ & ssA(n7,n6) != ssA(n8,n6)+ & ssA(n7,n6) != ssA(n9,n4)+ & ssA(n7,n6) != ssA(n9,n5)+ & ssA(n7,n6) != ssA(n9,n6)+ & ssA(n8,n4) != ssA(n8,n5)+ & ssA(n8,n4) != ssA(n8,n6)+ & ssA(n8,n4) != ssA(n9,n4)+ & ssA(n8,n4) != ssA(n9,n5)+ & ssA(n8,n4) != ssA(n9,n6)+ & ssA(n8,n5) != ssA(n8,n6)+ & ssA(n8,n5) != ssA(n9,n4)+ & ssA(n8,n5) != ssA(n9,n5)+ & ssA(n8,n5) != ssA(n9,n6)+ & ssA(n8,n6) != ssA(n9,n4)+ & ssA(n8,n6) != ssA(n9,n5)+ & ssA(n8,n6) != ssA(n9,n6)+ & ssA(n9,n4) != ssA(n9,n5)+ & ssA(n9,n4) != ssA(n9,n6)+ & ssA(n9,n5) != ssA(n9,n6) )).++fof(ax262,axiom,+ ( ssA(n7,n7) = n1+ | ssA(n7,n8) = n1+ | ssA(n7,n9) = n1+ | ssA(n8,n7) = n1+ | ssA(n8,n8) = n1+ | ssA(n8,n9) = n1+ | ssA(n9,n7) = n1+ | ssA(n9,n8) = n1+ | ssA(n9,n9) = n1 )).++fof(ax263,axiom,+ ( ssA(n7,n7) = n2+ | ssA(n7,n8) = n2+ | ssA(n7,n9) = n2+ | ssA(n8,n7) = n2+ | ssA(n8,n8) = n2+ | ssA(n8,n9) = n2+ | ssA(n9,n7) = n2+ | ssA(n9,n8) = n2+ | ssA(n9,n9) = n2 )).++fof(ax264,axiom,+ ( ssA(n7,n7) = n3+ | ssA(n7,n8) = n3+ | ssA(n7,n9) = n3+ | ssA(n8,n7) = n3+ | ssA(n8,n8) = n3+ | ssA(n8,n9) = n3+ | ssA(n9,n7) = n3+ | ssA(n9,n8) = n3+ | ssA(n9,n9) = n3 )).++fof(ax265,axiom,+ ( ssA(n7,n7) = n4+ | ssA(n7,n8) = n4+ | ssA(n7,n9) = n4+ | ssA(n8,n7) = n4+ | ssA(n8,n8) = n4+ | ssA(n8,n9) = n4+ | ssA(n9,n7) = n4+ | ssA(n9,n8) = n4+ | ssA(n9,n9) = n4 )).++fof(ax266,axiom,+ ( ssA(n7,n7) = n5+ | ssA(n7,n8) = n5+ | ssA(n7,n9) = n5+ | ssA(n8,n7) = n5+ | ssA(n8,n8) = n5+ | ssA(n8,n9) = n5+ | ssA(n9,n7) = n5+ | ssA(n9,n8) = n5+ | ssA(n9,n9) = n5 )).++fof(ax267,axiom,+ ( ssA(n7,n7) = n6+ | ssA(n7,n8) = n6+ | ssA(n7,n9) = n6+ | ssA(n8,n7) = n6+ | ssA(n8,n8) = n6+ | ssA(n8,n9) = n6+ | ssA(n9,n7) = n6+ | ssA(n9,n8) = n6+ | ssA(n9,n9) = n6 )).++fof(ax268,axiom,+ ( ssA(n7,n7) = n7+ | ssA(n7,n8) = n7+ | ssA(n7,n9) = n7+ | ssA(n8,n7) = n7+ | ssA(n8,n8) = n7+ | ssA(n8,n9) = n7+ | ssA(n9,n7) = n7+ | ssA(n9,n8) = n7+ | ssA(n9,n9) = n7 )).++fof(ax269,axiom,+ ( ssA(n7,n7) = n8+ | ssA(n7,n8) = n8+ | ssA(n7,n9) = n8+ | ssA(n8,n7) = n8+ | ssA(n8,n8) = n8+ | ssA(n8,n9) = n8+ | ssA(n9,n7) = n8+ | ssA(n9,n8) = n8+ | ssA(n9,n9) = n8 )).++fof(ax270,axiom,+ ( ssA(n7,n7) = n9+ | ssA(n7,n8) = n9+ | ssA(n7,n9) = n9+ | ssA(n8,n7) = n9+ | ssA(n8,n8) = n9+ | ssA(n8,n9) = n9+ | ssA(n9,n7) = n9+ | ssA(n9,n8) = n9+ | ssA(n9,n9) = n9 )).++fof(ax271,axiom,+ ( ssA(n7,n7) != ssA(n7,n8)+ & ssA(n7,n7) != ssA(n7,n9)+ & ssA(n7,n7) != ssA(n8,n7)+ & ssA(n7,n7) != ssA(n8,n8)+ & ssA(n7,n7) != ssA(n8,n9)+ & ssA(n7,n7) != ssA(n9,n7)+ & ssA(n7,n7) != ssA(n9,n8)+ & ssA(n7,n7) != ssA(n9,n9)+ & ssA(n7,n8) != ssA(n7,n9)+ & ssA(n7,n8) != ssA(n8,n7)+ & ssA(n7,n8) != ssA(n8,n8)+ & ssA(n7,n8) != ssA(n8,n9)+ & ssA(n7,n8) != ssA(n9,n7)+ & ssA(n7,n8) != ssA(n9,n8)+ & ssA(n7,n8) != ssA(n9,n9)+ & ssA(n7,n9) != ssA(n8,n7)+ & ssA(n7,n9) != ssA(n8,n8)+ & ssA(n7,n9) != ssA(n8,n9)+ & ssA(n7,n9) != ssA(n9,n7)+ & ssA(n7,n9) != ssA(n9,n8)+ & ssA(n7,n9) != ssA(n9,n9)+ & ssA(n8,n7) != ssA(n8,n8)+ & ssA(n8,n7) != ssA(n8,n9)+ & ssA(n8,n7) != ssA(n9,n7)+ & ssA(n8,n7) != ssA(n9,n8)+ & ssA(n8,n7) != ssA(n9,n9)+ & ssA(n8,n8) != ssA(n8,n9)+ & ssA(n8,n8) != ssA(n9,n7)+ & ssA(n8,n8) != ssA(n9,n8)+ & ssA(n8,n8) != ssA(n9,n9)+ & ssA(n8,n9) != ssA(n9,n7)+ & ssA(n8,n9) != ssA(n9,n8)+ & ssA(n8,n9) != ssA(n9,n9)+ & ssA(n9,n7) != ssA(n9,n8)+ & ssA(n9,n7) != ssA(n9,n9)+ & ssA(n9,n8) != ssA(n9,n9) )).++%----Codomain+fof(ax272,axiom,+ ( ssA(n1,n1) = n1+ | ssA(n1,n1) = n2+ | ssA(n1,n1) = n3+ | ssA(n1,n1) = n4+ | ssA(n1,n1) = n5+ | ssA(n1,n1) = n6+ | ssA(n1,n1) = n7+ | ssA(n1,n1) = n8+ | ssA(n1,n1) = n9 )).++fof(ax273,axiom,+ ( ssA(n1,n2) = n1+ | ssA(n1,n2) = n2+ | ssA(n1,n2) = n3+ | ssA(n1,n2) = n4+ | ssA(n1,n2) = n5+ | ssA(n1,n2) = n6+ | ssA(n1,n2) = n7+ | ssA(n1,n2) = n8+ | ssA(n1,n2) = n9 )).++fof(ax274,axiom,+ ( ssA(n1,n3) = n1+ | ssA(n1,n3) = n2+ | ssA(n1,n3) = n3+ | ssA(n1,n3) = n4+ | ssA(n1,n3) = n5+ | ssA(n1,n3) = n6+ | ssA(n1,n3) = n7+ | ssA(n1,n3) = n8+ | ssA(n1,n3) = n9 )).++fof(ax275,axiom,+ ( ssA(n1,n4) = n1+ | ssA(n1,n4) = n2+ | ssA(n1,n4) = n3+ | ssA(n1,n4) = n4+ | ssA(n1,n4) = n5+ | ssA(n1,n4) = n6+ | ssA(n1,n4) = n7+ | ssA(n1,n4) = n8+ | ssA(n1,n4) = n9 )).++fof(ax276,axiom,+ ( ssA(n1,n5) = n1+ | ssA(n1,n5) = n2+ | ssA(n1,n5) = n3+ | ssA(n1,n5) = n4+ | ssA(n1,n5) = n5+ | ssA(n1,n5) = n6+ | ssA(n1,n5) = n7+ | ssA(n1,n5) = n8+ | ssA(n1,n5) = n9 )).++fof(ax277,axiom,+ ( ssA(n1,n6) = n1+ | ssA(n1,n6) = n2+ | ssA(n1,n6) = n3+ | ssA(n1,n6) = n4+ | ssA(n1,n6) = n5+ | ssA(n1,n6) = n6+ | ssA(n1,n6) = n7+ | ssA(n1,n6) = n8+ | ssA(n1,n6) = n9 )).++fof(ax278,axiom,+ ( ssA(n1,n7) = n1+ | ssA(n1,n7) = n2+ | ssA(n1,n7) = n3+ | ssA(n1,n7) = n4+ | ssA(n1,n7) = n5+ | ssA(n1,n7) = n6+ | ssA(n1,n7) = n7+ | ssA(n1,n7) = n8+ | ssA(n1,n7) = n9 )).++fof(ax279,axiom,+ ( ssA(n1,n8) = n1+ | ssA(n1,n8) = n2+ | ssA(n1,n8) = n3+ | ssA(n1,n8) = n4+ | ssA(n1,n8) = n5+ | ssA(n1,n8) = n6+ | ssA(n1,n8) = n7+ | ssA(n1,n8) = n8+ | ssA(n1,n8) = n9 )).++fof(ax280,axiom,+ ( ssA(n1,n9) = n1+ | ssA(n1,n9) = n2+ | ssA(n1,n9) = n3+ | ssA(n1,n9) = n4+ | ssA(n1,n9) = n5+ | ssA(n1,n9) = n6+ | ssA(n1,n9) = n7+ | ssA(n1,n9) = n8+ | ssA(n1,n9) = n9 )).++fof(ax281,axiom,+ ( ssA(n2,n1) = n1+ | ssA(n2,n1) = n2+ | ssA(n2,n1) = n3+ | ssA(n2,n1) = n4+ | ssA(n2,n1) = n5+ | ssA(n2,n1) = n6+ | ssA(n2,n1) = n7+ | ssA(n2,n1) = n8+ | ssA(n2,n1) = n9 )).++fof(ax282,axiom,+ ( ssA(n2,n2) = n1+ | ssA(n2,n2) = n2+ | ssA(n2,n2) = n3+ | ssA(n2,n2) = n4+ | ssA(n2,n2) = n5+ | ssA(n2,n2) = n6+ | ssA(n2,n2) = n7+ | ssA(n2,n2) = n8+ | ssA(n2,n2) = n9 )).++fof(ax283,axiom,+ ( ssA(n2,n3) = n1+ | ssA(n2,n3) = n2+ | ssA(n2,n3) = n3+ | ssA(n2,n3) = n4+ | ssA(n2,n3) = n5+ | ssA(n2,n3) = n6+ | ssA(n2,n3) = n7+ | ssA(n2,n3) = n8+ | ssA(n2,n3) = n9 )).++fof(ax284,axiom,+ ( ssA(n2,n4) = n1+ | ssA(n2,n4) = n2+ | ssA(n2,n4) = n3+ | ssA(n2,n4) = n4+ | ssA(n2,n4) = n5+ | ssA(n2,n4) = n6+ | ssA(n2,n4) = n7+ | ssA(n2,n4) = n8+ | ssA(n2,n4) = n9 )).++fof(ax285,axiom,+ ( ssA(n2,n5) = n1+ | ssA(n2,n5) = n2+ | ssA(n2,n5) = n3+ | ssA(n2,n5) = n4+ | ssA(n2,n5) = n5+ | ssA(n2,n5) = n6+ | ssA(n2,n5) = n7+ | ssA(n2,n5) = n8+ | ssA(n2,n5) = n9 )).++fof(ax286,axiom,+ ( ssA(n2,n6) = n1+ | ssA(n2,n6) = n2+ | ssA(n2,n6) = n3+ | ssA(n2,n6) = n4+ | ssA(n2,n6) = n5+ | ssA(n2,n6) = n6+ | ssA(n2,n6) = n7+ | ssA(n2,n6) = n8+ | ssA(n2,n6) = n9 )).++fof(ax287,axiom,+ ( ssA(n2,n7) = n1+ | ssA(n2,n7) = n2+ | ssA(n2,n7) = n3+ | ssA(n2,n7) = n4+ | ssA(n2,n7) = n5+ | ssA(n2,n7) = n6+ | ssA(n2,n7) = n7+ | ssA(n2,n7) = n8+ | ssA(n2,n7) = n9 )).++fof(ax288,axiom,+ ( ssA(n2,n8) = n1+ | ssA(n2,n8) = n2+ | ssA(n2,n8) = n3+ | ssA(n2,n8) = n4+ | ssA(n2,n8) = n5+ | ssA(n2,n8) = n6+ | ssA(n2,n8) = n7+ | ssA(n2,n8) = n8+ | ssA(n2,n8) = n9 )).++fof(ax289,axiom,+ ( ssA(n2,n9) = n1+ | ssA(n2,n9) = n2+ | ssA(n2,n9) = n3+ | ssA(n2,n9) = n4+ | ssA(n2,n9) = n5+ | ssA(n2,n9) = n6+ | ssA(n2,n9) = n7+ | ssA(n2,n9) = n8+ | ssA(n2,n9) = n9 )).++fof(ax290,axiom,+ ( ssA(n3,n1) = n1+ | ssA(n3,n1) = n2+ | ssA(n3,n1) = n3+ | ssA(n3,n1) = n4+ | ssA(n3,n1) = n5+ | ssA(n3,n1) = n6+ | ssA(n3,n1) = n7+ | ssA(n3,n1) = n8+ | ssA(n3,n1) = n9 )).++fof(ax291,axiom,+ ( ssA(n3,n2) = n1+ | ssA(n3,n2) = n2+ | ssA(n3,n2) = n3+ | ssA(n3,n2) = n4+ | ssA(n3,n2) = n5+ | ssA(n3,n2) = n6+ | ssA(n3,n2) = n7+ | ssA(n3,n2) = n8+ | ssA(n3,n2) = n9 )).++fof(ax292,axiom,+ ( ssA(n3,n3) = n1+ | ssA(n3,n3) = n2+ | ssA(n3,n3) = n3+ | ssA(n3,n3) = n4+ | ssA(n3,n3) = n5+ | ssA(n3,n3) = n6+ | ssA(n3,n3) = n7+ | ssA(n3,n3) = n8+ | ssA(n3,n3) = n9 )).++fof(ax293,axiom,+ ( ssA(n3,n4) = n1+ | ssA(n3,n4) = n2+ | ssA(n3,n4) = n3+ | ssA(n3,n4) = n4+ | ssA(n3,n4) = n5+ | ssA(n3,n4) = n6+ | ssA(n3,n4) = n7+ | ssA(n3,n4) = n8+ | ssA(n3,n4) = n9 )).++fof(ax294,axiom,+ ( ssA(n3,n5) = n1+ | ssA(n3,n5) = n2+ | ssA(n3,n5) = n3+ | ssA(n3,n5) = n4+ | ssA(n3,n5) = n5+ | ssA(n3,n5) = n6+ | ssA(n3,n5) = n7+ | ssA(n3,n5) = n8+ | ssA(n3,n5) = n9 )).++fof(ax295,axiom,+ ( ssA(n3,n6) = n1+ | ssA(n3,n6) = n2+ | ssA(n3,n6) = n3+ | ssA(n3,n6) = n4+ | ssA(n3,n6) = n5+ | ssA(n3,n6) = n6+ | ssA(n3,n6) = n7+ | ssA(n3,n6) = n8+ | ssA(n3,n6) = n9 )).++fof(ax296,axiom,+ ( ssA(n3,n7) = n1+ | ssA(n3,n7) = n2+ | ssA(n3,n7) = n3+ | ssA(n3,n7) = n4+ | ssA(n3,n7) = n5+ | ssA(n3,n7) = n6+ | ssA(n3,n7) = n7+ | ssA(n3,n7) = n8+ | ssA(n3,n7) = n9 )).++fof(ax297,axiom,+ ( ssA(n3,n8) = n1+ | ssA(n3,n8) = n2+ | ssA(n3,n8) = n3+ | ssA(n3,n8) = n4+ | ssA(n3,n8) = n5+ | ssA(n3,n8) = n6+ | ssA(n3,n8) = n7+ | ssA(n3,n8) = n8+ | ssA(n3,n8) = n9 )).++fof(ax298,axiom,+ ( ssA(n3,n9) = n1+ | ssA(n3,n9) = n2+ | ssA(n3,n9) = n3+ | ssA(n3,n9) = n4+ | ssA(n3,n9) = n5+ | ssA(n3,n9) = n6+ | ssA(n3,n9) = n7+ | ssA(n3,n9) = n8+ | ssA(n3,n9) = n9 )).++fof(ax299,axiom,+ ( ssA(n4,n1) = n1+ | ssA(n4,n1) = n2+ | ssA(n4,n1) = n3+ | ssA(n4,n1) = n4+ | ssA(n4,n1) = n5+ | ssA(n4,n1) = n6+ | ssA(n4,n1) = n7+ | ssA(n4,n1) = n8+ | ssA(n4,n1) = n9 )).++fof(ax300,axiom,+ ( ssA(n4,n2) = n1+ | ssA(n4,n2) = n2+ | ssA(n4,n2) = n3+ | ssA(n4,n2) = n4+ | ssA(n4,n2) = n5+ | ssA(n4,n2) = n6+ | ssA(n4,n2) = n7+ | ssA(n4,n2) = n8+ | ssA(n4,n2) = n9 )).++fof(ax301,axiom,+ ( ssA(n4,n3) = n1+ | ssA(n4,n3) = n2+ | ssA(n4,n3) = n3+ | ssA(n4,n3) = n4+ | ssA(n4,n3) = n5+ | ssA(n4,n3) = n6+ | ssA(n4,n3) = n7+ | ssA(n4,n3) = n8+ | ssA(n4,n3) = n9 )).++fof(ax302,axiom,+ ( ssA(n4,n4) = n1+ | ssA(n4,n4) = n2+ | ssA(n4,n4) = n3+ | ssA(n4,n4) = n4+ | ssA(n4,n4) = n5+ | ssA(n4,n4) = n6+ | ssA(n4,n4) = n7+ | ssA(n4,n4) = n8+ | ssA(n4,n4) = n9 )).++fof(ax303,axiom,+ ( ssA(n4,n5) = n1+ | ssA(n4,n5) = n2+ | ssA(n4,n5) = n3+ | ssA(n4,n5) = n4+ | ssA(n4,n5) = n5+ | ssA(n4,n5) = n6+ | ssA(n4,n5) = n7+ | ssA(n4,n5) = n8+ | ssA(n4,n5) = n9 )).++fof(ax304,axiom,+ ( ssA(n4,n6) = n1+ | ssA(n4,n6) = n2+ | ssA(n4,n6) = n3+ | ssA(n4,n6) = n4+ | ssA(n4,n6) = n5+ | ssA(n4,n6) = n6+ | ssA(n4,n6) = n7+ | ssA(n4,n6) = n8+ | ssA(n4,n6) = n9 )).++fof(ax305,axiom,+ ( ssA(n4,n7) = n1+ | ssA(n4,n7) = n2+ | ssA(n4,n7) = n3+ | ssA(n4,n7) = n4+ | ssA(n4,n7) = n5+ | ssA(n4,n7) = n6+ | ssA(n4,n7) = n7+ | ssA(n4,n7) = n8+ | ssA(n4,n7) = n9 )).++fof(ax306,axiom,+ ( ssA(n4,n8) = n1+ | ssA(n4,n8) = n2+ | ssA(n4,n8) = n3+ | ssA(n4,n8) = n4+ | ssA(n4,n8) = n5+ | ssA(n4,n8) = n6+ | ssA(n4,n8) = n7+ | ssA(n4,n8) = n8+ | ssA(n4,n8) = n9 )).++fof(ax307,axiom,+ ( ssA(n4,n9) = n1+ | ssA(n4,n9) = n2+ | ssA(n4,n9) = n3+ | ssA(n4,n9) = n4+ | ssA(n4,n9) = n5+ | ssA(n4,n9) = n6+ | ssA(n4,n9) = n7+ | ssA(n4,n9) = n8+ | ssA(n4,n9) = n9 )).++fof(ax308,axiom,+ ( ssA(n5,n1) = n1+ | ssA(n5,n1) = n2+ | ssA(n5,n1) = n3+ | ssA(n5,n1) = n4+ | ssA(n5,n1) = n5+ | ssA(n5,n1) = n6+ | ssA(n5,n1) = n7+ | ssA(n5,n1) = n8+ | ssA(n5,n1) = n9 )).++fof(ax309,axiom,+ ( ssA(n5,n2) = n1+ | ssA(n5,n2) = n2+ | ssA(n5,n2) = n3+ | ssA(n5,n2) = n4+ | ssA(n5,n2) = n5+ | ssA(n5,n2) = n6+ | ssA(n5,n2) = n7+ | ssA(n5,n2) = n8+ | ssA(n5,n2) = n9 )).++fof(ax310,axiom,+ ( ssA(n5,n3) = n1+ | ssA(n5,n3) = n2+ | ssA(n5,n3) = n3+ | ssA(n5,n3) = n4+ | ssA(n5,n3) = n5+ | ssA(n5,n3) = n6+ | ssA(n5,n3) = n7+ | ssA(n5,n3) = n8+ | ssA(n5,n3) = n9 )).++fof(ax311,axiom,+ ( ssA(n5,n4) = n1+ | ssA(n5,n4) = n2+ | ssA(n5,n4) = n3+ | ssA(n5,n4) = n4+ | ssA(n5,n4) = n5+ | ssA(n5,n4) = n6+ | ssA(n5,n4) = n7+ | ssA(n5,n4) = n8+ | ssA(n5,n4) = n9 )).++fof(ax312,axiom,+ ( ssA(n5,n5) = n1+ | ssA(n5,n5) = n2+ | ssA(n5,n5) = n3+ | ssA(n5,n5) = n4+ | ssA(n5,n5) = n5+ | ssA(n5,n5) = n6+ | ssA(n5,n5) = n7+ | ssA(n5,n5) = n8+ | ssA(n5,n5) = n9 )).++fof(ax313,axiom,+ ( ssA(n5,n6) = n1+ | ssA(n5,n6) = n2+ | ssA(n5,n6) = n3+ | ssA(n5,n6) = n4+ | ssA(n5,n6) = n5+ | ssA(n5,n6) = n6+ | ssA(n5,n6) = n7+ | ssA(n5,n6) = n8+ | ssA(n5,n6) = n9 )).++fof(ax314,axiom,+ ( ssA(n5,n7) = n1+ | ssA(n5,n7) = n2+ | ssA(n5,n7) = n3+ | ssA(n5,n7) = n4+ | ssA(n5,n7) = n5+ | ssA(n5,n7) = n6+ | ssA(n5,n7) = n7+ | ssA(n5,n7) = n8+ | ssA(n5,n7) = n9 )).++fof(ax315,axiom,+ ( ssA(n5,n8) = n1+ | ssA(n5,n8) = n2+ | ssA(n5,n8) = n3+ | ssA(n5,n8) = n4+ | ssA(n5,n8) = n5+ | ssA(n5,n8) = n6+ | ssA(n5,n8) = n7+ | ssA(n5,n8) = n8+ | ssA(n5,n8) = n9 )).++fof(ax316,axiom,+ ( ssA(n5,n9) = n1+ | ssA(n5,n9) = n2+ | ssA(n5,n9) = n3+ | ssA(n5,n9) = n4+ | ssA(n5,n9) = n5+ | ssA(n5,n9) = n6+ | ssA(n5,n9) = n7+ | ssA(n5,n9) = n8+ | ssA(n5,n9) = n9 )).++fof(ax317,axiom,+ ( ssA(n6,n1) = n1+ | ssA(n6,n1) = n2+ | ssA(n6,n1) = n3+ | ssA(n6,n1) = n4+ | ssA(n6,n1) = n5+ | ssA(n6,n1) = n6+ | ssA(n6,n1) = n7+ | ssA(n6,n1) = n8+ | ssA(n6,n1) = n9 )).++fof(ax318,axiom,+ ( ssA(n6,n2) = n1+ | ssA(n6,n2) = n2+ | ssA(n6,n2) = n3+ | ssA(n6,n2) = n4+ | ssA(n6,n2) = n5+ | ssA(n6,n2) = n6+ | ssA(n6,n2) = n7+ | ssA(n6,n2) = n8+ | ssA(n6,n2) = n9 )).++fof(ax319,axiom,+ ( ssA(n6,n3) = n1+ | ssA(n6,n3) = n2+ | ssA(n6,n3) = n3+ | ssA(n6,n3) = n4+ | ssA(n6,n3) = n5+ | ssA(n6,n3) = n6+ | ssA(n6,n3) = n7+ | ssA(n6,n3) = n8+ | ssA(n6,n3) = n9 )).++fof(ax320,axiom,+ ( ssA(n6,n4) = n1+ | ssA(n6,n4) = n2+ | ssA(n6,n4) = n3+ | ssA(n6,n4) = n4+ | ssA(n6,n4) = n5+ | ssA(n6,n4) = n6+ | ssA(n6,n4) = n7+ | ssA(n6,n4) = n8+ | ssA(n6,n4) = n9 )).++fof(ax321,axiom,+ ( ssA(n6,n5) = n1+ | ssA(n6,n5) = n2+ | ssA(n6,n5) = n3+ | ssA(n6,n5) = n4+ | ssA(n6,n5) = n5+ | ssA(n6,n5) = n6+ | ssA(n6,n5) = n7+ | ssA(n6,n5) = n8+ | ssA(n6,n5) = n9 )).++fof(ax322,axiom,+ ( ssA(n6,n6) = n1+ | ssA(n6,n6) = n2+ | ssA(n6,n6) = n3+ | ssA(n6,n6) = n4+ | ssA(n6,n6) = n5+ | ssA(n6,n6) = n6+ | ssA(n6,n6) = n7+ | ssA(n6,n6) = n8+ | ssA(n6,n6) = n9 )).++fof(ax323,axiom,+ ( ssA(n6,n7) = n1+ | ssA(n6,n7) = n2+ | ssA(n6,n7) = n3+ | ssA(n6,n7) = n4+ | ssA(n6,n7) = n5+ | ssA(n6,n7) = n6+ | ssA(n6,n7) = n7+ | ssA(n6,n7) = n8+ | ssA(n6,n7) = n9 )).++fof(ax324,axiom,+ ( ssA(n6,n8) = n1+ | ssA(n6,n8) = n2+ | ssA(n6,n8) = n3+ | ssA(n6,n8) = n4+ | ssA(n6,n8) = n5+ | ssA(n6,n8) = n6+ | ssA(n6,n8) = n7+ | ssA(n6,n8) = n8+ | ssA(n6,n8) = n9 )).++fof(ax325,axiom,+ ( ssA(n6,n9) = n1+ | ssA(n6,n9) = n2+ | ssA(n6,n9) = n3+ | ssA(n6,n9) = n4+ | ssA(n6,n9) = n5+ | ssA(n6,n9) = n6+ | ssA(n6,n9) = n7+ | ssA(n6,n9) = n8+ | ssA(n6,n9) = n9 )).++fof(ax326,axiom,+ ( ssA(n7,n1) = n1+ | ssA(n7,n1) = n2+ | ssA(n7,n1) = n3+ | ssA(n7,n1) = n4+ | ssA(n7,n1) = n5+ | ssA(n7,n1) = n6+ | ssA(n7,n1) = n7+ | ssA(n7,n1) = n8+ | ssA(n7,n1) = n9 )).++fof(ax327,axiom,+ ( ssA(n7,n2) = n1+ | ssA(n7,n2) = n2+ | ssA(n7,n2) = n3+ | ssA(n7,n2) = n4+ | ssA(n7,n2) = n5+ | ssA(n7,n2) = n6+ | ssA(n7,n2) = n7+ | ssA(n7,n2) = n8+ | ssA(n7,n2) = n9 )).++fof(ax328,axiom,+ ( ssA(n7,n3) = n1+ | ssA(n7,n3) = n2+ | ssA(n7,n3) = n3+ | ssA(n7,n3) = n4+ | ssA(n7,n3) = n5+ | ssA(n7,n3) = n6+ | ssA(n7,n3) = n7+ | ssA(n7,n3) = n8+ | ssA(n7,n3) = n9 )).++fof(ax329,axiom,+ ( ssA(n7,n4) = n1+ | ssA(n7,n4) = n2+ | ssA(n7,n4) = n3+ | ssA(n7,n4) = n4+ | ssA(n7,n4) = n5+ | ssA(n7,n4) = n6+ | ssA(n7,n4) = n7+ | ssA(n7,n4) = n8+ | ssA(n7,n4) = n9 )).++fof(ax330,axiom,+ ( ssA(n7,n5) = n1+ | ssA(n7,n5) = n2+ | ssA(n7,n5) = n3+ | ssA(n7,n5) = n4+ | ssA(n7,n5) = n5+ | ssA(n7,n5) = n6+ | ssA(n7,n5) = n7+ | ssA(n7,n5) = n8+ | ssA(n7,n5) = n9 )).++fof(ax331,axiom,+ ( ssA(n7,n6) = n1+ | ssA(n7,n6) = n2+ | ssA(n7,n6) = n3+ | ssA(n7,n6) = n4+ | ssA(n7,n6) = n5+ | ssA(n7,n6) = n6+ | ssA(n7,n6) = n7+ | ssA(n7,n6) = n8+ | ssA(n7,n6) = n9 )).++fof(ax332,axiom,+ ( ssA(n7,n7) = n1+ | ssA(n7,n7) = n2+ | ssA(n7,n7) = n3+ | ssA(n7,n7) = n4+ | ssA(n7,n7) = n5+ | ssA(n7,n7) = n6+ | ssA(n7,n7) = n7+ | ssA(n7,n7) = n8+ | ssA(n7,n7) = n9 )).++fof(ax333,axiom,+ ( ssA(n7,n8) = n1+ | ssA(n7,n8) = n2+ | ssA(n7,n8) = n3+ | ssA(n7,n8) = n4+ | ssA(n7,n8) = n5+ | ssA(n7,n8) = n6+ | ssA(n7,n8) = n7+ | ssA(n7,n8) = n8+ | ssA(n7,n8) = n9 )).++fof(ax334,axiom,+ ( ssA(n7,n9) = n1+ | ssA(n7,n9) = n2+ | ssA(n7,n9) = n3+ | ssA(n7,n9) = n4+ | ssA(n7,n9) = n5+ | ssA(n7,n9) = n6+ | ssA(n7,n9) = n7+ | ssA(n7,n9) = n8+ | ssA(n7,n9) = n9 )).++fof(ax335,axiom,+ ( ssA(n8,n1) = n1+ | ssA(n8,n1) = n2+ | ssA(n8,n1) = n3+ | ssA(n8,n1) = n4+ | ssA(n8,n1) = n5+ | ssA(n8,n1) = n6+ | ssA(n8,n1) = n7+ | ssA(n8,n1) = n8+ | ssA(n8,n1) = n9 )).++fof(ax336,axiom,+ ( ssA(n8,n2) = n1+ | ssA(n8,n2) = n2+ | ssA(n8,n2) = n3+ | ssA(n8,n2) = n4+ | ssA(n8,n2) = n5+ | ssA(n8,n2) = n6+ | ssA(n8,n2) = n7+ | ssA(n8,n2) = n8+ | ssA(n8,n2) = n9 )).++fof(ax337,axiom,+ ( ssA(n8,n3) = n1+ | ssA(n8,n3) = n2+ | ssA(n8,n3) = n3+ | ssA(n8,n3) = n4+ | ssA(n8,n3) = n5+ | ssA(n8,n3) = n6+ | ssA(n8,n3) = n7+ | ssA(n8,n3) = n8+ | ssA(n8,n3) = n9 )).++fof(ax338,axiom,+ ( ssA(n8,n4) = n1+ | ssA(n8,n4) = n2+ | ssA(n8,n4) = n3+ | ssA(n8,n4) = n4+ | ssA(n8,n4) = n5+ | ssA(n8,n4) = n6+ | ssA(n8,n4) = n7+ | ssA(n8,n4) = n8+ | ssA(n8,n4) = n9 )).++fof(ax339,axiom,+ ( ssA(n8,n5) = n1+ | ssA(n8,n5) = n2+ | ssA(n8,n5) = n3+ | ssA(n8,n5) = n4+ | ssA(n8,n5) = n5+ | ssA(n8,n5) = n6+ | ssA(n8,n5) = n7+ | ssA(n8,n5) = n8+ | ssA(n8,n5) = n9 )).++fof(ax340,axiom,+ ( ssA(n8,n6) = n1+ | ssA(n8,n6) = n2+ | ssA(n8,n6) = n3+ | ssA(n8,n6) = n4+ | ssA(n8,n6) = n5+ | ssA(n8,n6) = n6+ | ssA(n8,n6) = n7+ | ssA(n8,n6) = n8+ | ssA(n8,n6) = n9 )).++fof(ax341,axiom,+ ( ssA(n8,n7) = n1+ | ssA(n8,n7) = n2+ | ssA(n8,n7) = n3+ | ssA(n8,n7) = n4+ | ssA(n8,n7) = n5+ | ssA(n8,n7) = n6+ | ssA(n8,n7) = n7+ | ssA(n8,n7) = n8+ | ssA(n8,n7) = n9 )).++fof(ax342,axiom,+ ( ssA(n8,n8) = n1+ | ssA(n8,n8) = n2+ | ssA(n8,n8) = n3+ | ssA(n8,n8) = n4+ | ssA(n8,n8) = n5+ | ssA(n8,n8) = n6+ | ssA(n8,n8) = n7+ | ssA(n8,n8) = n8+ | ssA(n8,n8) = n9 )).++fof(ax343,axiom,+ ( ssA(n8,n9) = n1+ | ssA(n8,n9) = n2+ | ssA(n8,n9) = n3+ | ssA(n8,n9) = n4+ | ssA(n8,n9) = n5+ | ssA(n8,n9) = n6+ | ssA(n8,n9) = n7+ | ssA(n8,n9) = n8+ | ssA(n8,n9) = n9 )).++fof(ax344,axiom,+ ( ssA(n9,n1) = n1+ | ssA(n9,n1) = n2+ | ssA(n9,n1) = n3+ | ssA(n9,n1) = n4+ | ssA(n9,n1) = n5+ | ssA(n9,n1) = n6+ | ssA(n9,n1) = n7+ | ssA(n9,n1) = n8+ | ssA(n9,n1) = n9 )).++fof(ax345,axiom,+ ( ssA(n9,n2) = n1+ | ssA(n9,n2) = n2+ | ssA(n9,n2) = n3+ | ssA(n9,n2) = n4+ | ssA(n9,n2) = n5+ | ssA(n9,n2) = n6+ | ssA(n9,n2) = n7+ | ssA(n9,n2) = n8+ | ssA(n9,n2) = n9 )).++fof(ax346,axiom,+ ( ssA(n9,n3) = n1+ | ssA(n9,n3) = n2+ | ssA(n9,n3) = n3+ | ssA(n9,n3) = n4+ | ssA(n9,n3) = n5+ | ssA(n9,n3) = n6+ | ssA(n9,n3) = n7+ | ssA(n9,n3) = n8+ | ssA(n9,n3) = n9 )).++fof(ax347,axiom,+ ( ssA(n9,n4) = n1+ | ssA(n9,n4) = n2+ | ssA(n9,n4) = n3+ | ssA(n9,n4) = n4+ | ssA(n9,n4) = n5+ | ssA(n9,n4) = n6+ | ssA(n9,n4) = n7+ | ssA(n9,n4) = n8+ | ssA(n9,n4) = n9 )).++fof(ax348,axiom,+ ( ssA(n9,n5) = n1+ | ssA(n9,n5) = n2+ | ssA(n9,n5) = n3+ | ssA(n9,n5) = n4+ | ssA(n9,n5) = n5+ | ssA(n9,n5) = n6+ | ssA(n9,n5) = n7+ | ssA(n9,n5) = n8+ | ssA(n9,n5) = n9 )).++fof(ax349,axiom,+ ( ssA(n9,n6) = n1+ | ssA(n9,n6) = n2+ | ssA(n9,n6) = n3+ | ssA(n9,n6) = n4+ | ssA(n9,n6) = n5+ | ssA(n9,n6) = n6+ | ssA(n9,n6) = n7+ | ssA(n9,n6) = n8+ | ssA(n9,n6) = n9 )).++fof(ax350,axiom,+ ( ssA(n9,n7) = n1+ | ssA(n9,n7) = n2+ | ssA(n9,n7) = n3+ | ssA(n9,n7) = n4+ | ssA(n9,n7) = n5+ | ssA(n9,n7) = n6+ | ssA(n9,n7) = n7+ | ssA(n9,n7) = n8+ | ssA(n9,n7) = n9 )).++fof(ax351,axiom,+ ( ssA(n9,n8) = n1+ | ssA(n9,n8) = n2+ | ssA(n9,n8) = n3+ | ssA(n9,n8) = n4+ | ssA(n9,n8) = n5+ | ssA(n9,n8) = n6+ | ssA(n9,n8) = n7+ | ssA(n9,n8) = n8+ | ssA(n9,n8) = n9 )).++fof(ax352,axiom,+ ( ssA(n9,n9) = n1+ | ssA(n9,n9) = n2+ | ssA(n9,n9) = n3+ | ssA(n9,n9) = n4+ | ssA(n9,n9) = n5+ | ssA(n9,n9) = n6+ | ssA(n9,n9) = n7+ | ssA(n9,n9) = n8+ | ssA(n9,n9) = n9 )).++%---Output+fof(ax370,axiom,(+ ssP(ssA(n1,n1),ssA(n1,n2),ssA(n1,n3),ssA(n1,n4),ssA(n1,n5),ssA(n1,n6),ssA(n1,n7),ssA(n1,n8),ssA(n1,n9),ssA(n2,n1),ssA(n2,n2),ssA(n2,n3),ssA(n2,n4),ssA(n2,n5),ssA(n2,n6),ssA(n2,n7),ssA(n2,n8),ssA(n2,n9),ssA(n3,n1),ssA(n3,n2),ssA(n3,n3),ssA(n3,n4),ssA(n3,n5),ssA(n3,n6),ssA(n3,n7),ssA(n3,n8),ssA(n3,n9),ssA(n4,n1),ssA(n4,n2),ssA(n4,n3),ssA(n4,n4),ssA(n4,n5),ssA(n4,n6),ssA(n4,n7),ssA(n4,n8),ssA(n4,n9),ssA(n5,n1),ssA(n5,n2),ssA(n5,n3),ssA(n5,n4),ssA(n5,n5),ssA(n5,n6),ssA(n5,n7),ssA(n5,n8),ssA(n5,n9),ssA(n6,n1),ssA(n6,n2),ssA(n6,n3),ssA(n6,n4),ssA(n6,n5),ssA(n6,n6),ssA(n6,n7),ssA(n6,n8),ssA(n6,n9),ssA(n7,n1),ssA(n7,n2),ssA(n7,n3),ssA(n7,n4),ssA(n7,n5),ssA(n7,n6),ssA(n7,n7),ssA(n7,n8),ssA(n7,n9),ssA(n8,n1),ssA(n8,n2),ssA(n8,n3),ssA(n8,n4),ssA(n8,n5),ssA(n8,n6),ssA(n8,n7),ssA(n8,n8),ssA(n8,n9),ssA(n9,n1),ssA(n9,n2),ssA(n9,n3),ssA(n9,n4),ssA(n9,n5),ssA(n9,n6),ssA(n9,n7),ssA(n9,n8),ssA(n9,n9)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/PUZ006+0.ax view
@@ -0,0 +1,44452 @@+%------------------------------------------------------------------------------+% File : PUZ006+0 : TPTP v7.2.0. Bugfixed v5.4.0.+% Domain : Puzzles (Sudoku)+% Axioms : Sudoku axioms+% Version : [Kos08] axioms : Especial.+% English :++% Refs : [Kos08] Kossey (2008), Email to G. Sutcliffe+% Source : [Kos08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 10530 ( 0 unit)+% Number of atoms : 23328 ( 0 equality)+% Maximal formula depth : 9 ( 3 average)+% Number of connectives : 23004 (10206 ~;2592 |; 0 &)+% ( 0 <=>;10206 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 1 ( 0 propositional; 3-3 arity)+% Number of functors : 9 ( 9 constant; 0-0 arity)+% Number of variables : 0 ( 0 sgn; 0 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments :+% Bugfixes : v5.4.0 - Fixed axQ319.+%------------------------------------------------------------------------------+% Negative constraints++% Row Constraints++fof(axN11_12_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n2,n1) )).++fof(axN11_12_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n2,n2) )).++fof(axN11_12_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n2,n3) )).++fof(axN11_12_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n2,n4) )).++fof(axN11_12_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n2,n5) )).++fof(axN11_12_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n1,n2,n6) )).++fof(axN11_12_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n1,n2,n7) )).++fof(axN11_12_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n1,n2,n8) )).++fof(axN11_12_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n1,n2,n9) )).++fof(axN11_13_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n3,n1) )).++fof(axN11_13_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n3,n2) )).++fof(axN11_13_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n3,n3) )).++fof(axN11_13_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n3,n4) )).++fof(axN11_13_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n3,n5) )).++fof(axN11_13_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n1,n3,n6) )).++fof(axN11_13_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n1,n3,n7) )).++fof(axN11_13_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n1,n3,n8) )).++fof(axN11_13_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n1,n3,n9) )).++fof(axN11_14_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n4,n1) )).++fof(axN11_14_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n4,n2) )).++fof(axN11_14_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n4,n3) )).++fof(axN11_14_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n4,n4) )).++fof(axN11_14_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n4,n5) )).++fof(axN11_14_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n1,n4,n6) )).++fof(axN11_14_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n1,n4,n7) )).++fof(axN11_14_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n1,n4,n8) )).++fof(axN11_14_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n1,n4,n9) )).++fof(axN11_15_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n5,n1) )).++fof(axN11_15_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n5,n2) )).++fof(axN11_15_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n5,n3) )).++fof(axN11_15_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n5,n4) )).++fof(axN11_15_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n5,n5) )).++fof(axN11_15_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n1,n5,n6) )).++fof(axN11_15_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n1,n5,n7) )).++fof(axN11_15_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n1,n5,n8) )).++fof(axN11_15_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n1,n5,n9) )).++fof(axN11_16_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n6,n1) )).++fof(axN11_16_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n6,n2) )).++fof(axN11_16_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n6,n3) )).++fof(axN11_16_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n6,n4) )).++fof(axN11_16_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n6,n5) )).++fof(axN11_16_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n1,n6,n6) )).++fof(axN11_16_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n1,n6,n7) )).++fof(axN11_16_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n1,n6,n8) )).++fof(axN11_16_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n1,n6,n9) )).++fof(axN11_17_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n7,n1) )).++fof(axN11_17_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n7,n2) )).++fof(axN11_17_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n7,n3) )).++fof(axN11_17_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n7,n4) )).++fof(axN11_17_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n7,n5) )).++fof(axN11_17_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n1,n7,n6) )).++fof(axN11_17_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n1,n7,n7) )).++fof(axN11_17_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n1,n7,n8) )).++fof(axN11_17_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n1,n7,n9) )).++fof(axN11_18_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n8,n1) )).++fof(axN11_18_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n8,n2) )).++fof(axN11_18_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n8,n3) )).++fof(axN11_18_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n8,n4) )).++fof(axN11_18_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n8,n5) )).++fof(axN11_18_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n1,n8,n6) )).++fof(axN11_18_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n1,n8,n7) )).++fof(axN11_18_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n1,n8,n8) )).++fof(axN11_18_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n1,n8,n9) )).++fof(axN11_19_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n9,n1) )).++fof(axN11_19_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n9,n2) )).++fof(axN11_19_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n9,n3) )).++fof(axN11_19_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n9,n4) )).++fof(axN11_19_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n9,n5) )).++fof(axN11_19_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n1,n9,n6) )).++fof(axN11_19_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n1,n9,n7) )).++fof(axN11_19_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n1,n9,n8) )).++fof(axN11_19_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n1,n9,n9) )).++fof(axN12_13_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n3,n1) )).++fof(axN12_13_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n3,n2) )).++fof(axN12_13_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n3,n3) )).++fof(axN12_13_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n3,n4) )).++fof(axN12_13_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n1,n3,n5) )).++fof(axN12_13_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n1,n3,n6) )).++fof(axN12_13_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n1,n3,n7) )).++fof(axN12_13_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n1,n3,n8) )).++fof(axN12_13_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n1,n3,n9) )).++fof(axN12_14_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n4,n1) )).++fof(axN12_14_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n4,n2) )).++fof(axN12_14_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n4,n3) )).++fof(axN12_14_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n4,n4) )).++fof(axN12_14_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n1,n4,n5) )).++fof(axN12_14_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n1,n4,n6) )).++fof(axN12_14_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n1,n4,n7) )).++fof(axN12_14_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n1,n4,n8) )).++fof(axN12_14_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n1,n4,n9) )).++fof(axN12_15_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n5,n1) )).++fof(axN12_15_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n5,n2) )).++fof(axN12_15_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n5,n3) )).++fof(axN12_15_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n5,n4) )).++fof(axN12_15_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n1,n5,n5) )).++fof(axN12_15_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n1,n5,n6) )).++fof(axN12_15_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n1,n5,n7) )).++fof(axN12_15_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n1,n5,n8) )).++fof(axN12_15_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n1,n5,n9) )).++fof(axN12_16_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n6,n1) )).++fof(axN12_16_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n6,n2) )).++fof(axN12_16_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n6,n3) )).++fof(axN12_16_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n6,n4) )).++fof(axN12_16_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n1,n6,n5) )).++fof(axN12_16_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n1,n6,n6) )).++fof(axN12_16_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n1,n6,n7) )).++fof(axN1_26_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n1,n6,n8) )).++fof(axN1_26_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n1,n6,n9) )).++fof(axN1_27_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n7,n1) )).++fof(axN1_27_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n7,n2) )).++fof(axN1_27_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n7,n3) )).++fof(axN12_17_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n7,n4) )).++fof(axN1_27_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n1,n7,n5) )).++fof(axN1_27_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n1,n7,n6) )).++fof(axN1_27_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n1,n7,n7) )).++fof(axN1_27_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n1,n7,n8) )).++fof(axN1_27_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n1,n7,n9) )).++fof(axN1_28_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n8,n1) )).++fof(axN1_28_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n8,n2) )).++fof(axN1_28_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n8,n3) )).++fof(axN1_28_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n8,n4) )).++fof(axN1_28_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n1,n8,n5) )).++fof(axN1_28_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n1,n8,n6) )).++fof(axN1_28_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n1,n8,n7) )).++fof(axN1_28_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n1,n8,n8) )).++fof(axN1_28_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n1,n8,n9) )).++fof(axN1_29_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n9,n1) )).++fof(axN1_29_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n9,n2) )).++fof(axN1_29_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n9,n3) )).++fof(axN1_29_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n9,n4) )).++fof(axN1_29_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n1,n9,n5) )).++fof(axN1_29_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n1,n9,n6) )).++fof(axN1_29_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n1,n9,n7) )).++fof(axN1_29_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n1,n9,n8) )).++fof(axN1_29_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n1,n9,n9) )).++fof(axN1_34_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n4,n1) )).++fof(axN13_14_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n4,n2) )).++fof(axN1_34_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n4,n3) )).++fof(axN1_34_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n1,n4,n4) )).++fof(axN1_34_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n1,n4,n5) )).++fof(axN1_34_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n1,n4,n6) )).++fof(axN1_34_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n1,n4,n7) )).++fof(axN1_34_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n1,n4,n8) )).++fof(axN1_34_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n1,n4,n9) )).++fof(axN1_35_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n5,n1) )).++fof(axN1_35_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n5,n2) )).++fof(axN1_35_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n5,n3) )).++fof(axN13_15_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n1,n5,n4) )).++fof(axN1_35_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n1,n5,n5) )).++fof(axN1_35_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n1,n5,n6) )).++fof(axN1_35_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n1,n5,n7) )).++fof(axN1_35_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n1,n5,n8) )).++fof(axN1_35_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n1,n5,n9) )).++fof(axN1_36_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n6,n1) )).++fof(axN1_36_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n6,n2) )).++fof(axN1_36_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n6,n3) )).++fof(axN1_36_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n1,n6,n4) )).++fof(axN1_36_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n1,n6,n5) )).++fof(axN1_36_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n1,n6,n6) )).++fof(axN1_36_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n1,n6,n7) )).++fof(axN1_36_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n1,n6,n8) )).++fof(axN1_36_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n1,n6,n9) )).++fof(axN1_37_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n7,n1) )).++fof(axN1_37_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n7,n2) )).++fof(axN1_37_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n7,n3) )).++fof(axN1_37_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n1,n7,n4) )).++fof(axN1_37_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n1,n7,n5) )).++fof(axN1_37_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n1,n7,n6) )).++fof(axN1_37_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n1,n7,n7) )).++fof(axN1_37_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n1,n7,n8) )).++fof(axN1_37_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n1,n7,n9) )).++fof(axN1_38_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n8,n1) )).++fof(axN1_38_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n8,n2) )).++fof(axN1_38_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n8,n3) )).++fof(axN1_38_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n1,n8,n4) )).++fof(axN1_38_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n1,n8,n5) )).++fof(axN1_38_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n1,n8,n6) )).++fof(axN1_38_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n1,n8,n7) )).++fof(axN1_38_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n1,n8,n8) )).++fof(axN1_38_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n1,n8,n9) )).++fof(axN1_39_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n9,n1) )).++fof(axN13_19_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n9,n2) )).++fof(axN1_39_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n9,n3) )).++fof(axN1_39_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n1,n9,n4) )).++fof(axN1_39_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n1,n9,n5) )).++fof(axN1_39_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n1,n9,n6) )).++fof(axN1_39_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n1,n9,n7) )).++fof(axN1_39_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n1,n9,n8) )).++fof(axN1_39_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n1,n9,n9) )).++fof(axN1_45_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n5,n1) )).++fof(axN1_45_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n5,n2) )).++fof(axN1_45_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n1,n5,n3) )).++fof(axN1_45_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n1,n5,n4) )).++fof(axN1_45_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n1,n5,n5) )).++fof(axN1_45_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n1,n5,n6) )).++fof(axN1_45_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n1,n5,n7) )).++fof(axN1_45_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n1,n5,n8) )).++fof(axN1_45_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n1,n5,n9) )).++fof(axN1_46_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n6,n1) )).++fof(axN1_46_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n6,n2) )).++fof(axN1_46_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n1,n6,n3) )).++fof(axN1_46_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n1,n6,n4) )).++fof(axN14_16_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n1,n6,n5) )).++fof(axN1_46_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n1,n6,n6) )).++fof(axN1_46_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n1,n6,n7) )).++fof(axN1_46_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n1,n6,n8) )).++fof(axN1_46_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n1,n6,n9) )).++fof(axN1_47_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n7,n1) )).++fof(axN1_47_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n7,n2) )).++fof(axN1_47_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n1,n7,n3) )).++fof(axN1_47_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n1,n7,n4) )).++fof(axN1_47_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n1,n7,n5) )).++fof(axN1_47_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n1,n7,n6) )).++fof(axN1_47_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n1,n7,n7) )).++fof(axN1_47_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n1,n7,n8) )).++fof(axN1_47_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n1,n7,n9) )).++fof(axN1_48_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n8,n1) )).++fof(axN1_48_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n8,n2) )).++fof(axN1_48_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n1,n8,n3) )).++fof(axN1_48_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n1,n8,n4) )).++fof(axN1_48_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n1,n8,n5) )).++fof(axN1_48_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n1,n8,n6) )).++fof(axN1_48_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n1,n8,n7) )).++fof(axN14_18_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n1,n8,n8) )).++fof(axN1_48_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n1,n8,n9) )).++fof(axN1_49_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n9,n1) )).++fof(axN1_49_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n9,n2) )).++fof(axN1_49_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n1,n9,n3) )).++fof(axN1_49_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n1,n9,n4) )).++fof(axN1_49_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n1,n9,n5) )).++fof(axN1_49_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n1,n9,n6) )).++fof(axN1_49_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n1,n9,n7) )).++fof(axN1_49_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n1,n9,n8) )).++fof(axN1_49_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n1,n9,n9) )).++fof(axN1_56_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n6,n1) )).++fof(axN1_56_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n1,n6,n2) )).++fof(axN1_56_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n1,n6,n3) )).++fof(axN1_56_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n1,n6,n4) )).++fof(axN1_56_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n1,n6,n5) )).++fof(axN1_56_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n1,n6,n6) )).++fof(axN1_56_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n1,n6,n7) )).++fof(axN1_56_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n1,n6,n8) )).++fof(axN1_56_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n1,n6,n9) )).++fof(axN1_57_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n7,n1) )).++fof(axN1_57_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n1,n7,n2) )).++fof(axN1_57_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n1,n7,n3) )).++fof(axN1_57_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n1,n7,n4) )).++fof(axN1_57_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n1,n7,n5) )).++fof(axN1_57_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n1,n7,n6) )).++fof(axN1_57_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n1,n7,n7) )).++fof(axN1_57_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n1,n7,n8) )).++fof(axN1_57_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n1,n7,n9) )).++fof(axN1_58_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n8,n1) )).++fof(axN15_18_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n1,n8,n2) )).++fof(axN1_58_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n1,n8,n3) )).++fof(axN1_58_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n1,n8,n4) )).++fof(axN1_58_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n1,n8,n5) )).++fof(axN1_58_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n1,n8,n6) )).++fof(axN1_58_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n1,n8,n7) )).++fof(axN1_58_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n1,n8,n8) )).++fof(axN1_58_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n1,n8,n9) )).++fof(axN1_59_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n9,n1) )).++fof(axN1_59_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n1,n9,n2) )).++fof(axN1_59_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n1,n9,n3) )).++fof(axN1_59_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n1,n9,n4) )).++fof(axN15_19_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n1,n9,n5) )).++fof(axN1_59_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n1,n9,n6) )).++fof(axN1_59_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n1,n9,n7) )).++fof(axN1_59_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n1,n9,n8) )).++fof(axN1_59_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n1,n9,n9) )).++fof(axN1_67_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n1,n7,n1) )).++fof(axN1_67_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n1,n7,n2) )).++fof(axN1_67_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n1,n7,n3) )).++fof(axN1_67_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n1,n7,n4) )).++fof(axN1_67_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n1,n7,n5) )).++fof(axN16_17_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n1,n7,n6) )).++fof(axN1_67_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n1,n7,n7) )).++fof(axN1_67_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n1,n7,n8) )).++fof(axN1_67_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n1,n7,n9) )).++fof(axN1_68_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n1,n8,n1) )).++fof(axN1_68_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n1,n8,n2) )).++fof(axN1_68_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n1,n8,n3) )).++fof(axN1_68_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n1,n8,n4) )).++fof(axN1_68_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n1,n8,n5) )).++fof(axN1_68_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n1,n8,n6) )).++fof(axN1_68_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n1,n8,n7) )).++fof(axN16_18_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n1,n8,n8) )).++fof(axN1_68_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n1,n8,n9) )).++fof(axN1_69_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n1,n9,n1) )).++fof(axN1_69_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n1,n9,n2) )).++fof(axN1_69_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n1,n9,n3) )).++fof(axN1_69_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n1,n9,n4) )).++fof(axN1_69_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n1,n9,n5) )).++fof(axN1_69_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n1,n9,n6) )).++fof(axN1_69_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n1,n9,n7) )).++fof(axN16_19_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n1,n9,n8) )).++fof(axN1_69_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n1,n9,n9) )).++fof(axN1_78_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n1,n8,n1) )).++fof(axN1_78_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n1,n8,n2) )).++fof(axN1_78_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n1,n8,n3) )).++fof(axN1_78_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n1,n8,n4) )).++fof(axN1_78_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n1,n8,n5) )).++fof(axN1_78_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n1,n8,n6) )).++fof(axN1_78_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n1,n8,n7) )).++fof(axN1_78_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n1,n8,n8) )).++fof(axN1_78_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n1,n8,n9) )).++fof(axN1_79_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n1,n9,n1) )).++fof(axN1_79_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n1,n9,n2) )).++fof(axN1_79_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n1,n9,n3) )).++fof(axN1_79_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n1,n9,n4) )).++fof(axN17_19_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n1,n9,n5) )).++fof(axN1_79_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n1,n9,n6) )).++fof(axN1_79_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n1,n9,n7) )).++fof(axN1_79_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n1,n9,n8) )).++fof(axN1_79_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n1,n9,n9) )).++fof(axN1_89_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n1,n9,n1) )).++fof(axN1_89_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n1,n9,n2) )).++fof(axN1_89_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n1,n9,n3) )).++fof(axN1_89_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n1,n9,n4) )).++fof(axN1_89_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n1,n9,n5) )).++fof(axN1_89_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n1,n9,n6) )).++fof(axN1_89_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n1,n9,n7) )).++fof(axN1_89_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n1,n9,n8) )).++fof(axN1_89_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n1,n9,n9) )).++fof(axN2_12_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n2,n1) )).++fof(axN2_12_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n2,n2) )).++fof(axN2_12_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n2,n3) )).++fof(axN2_12_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n2,n4) )).++fof(axN2_12_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n2,n5) )).++fof(axN21_22_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n2,n2,n6) )).++fof(axN21_22_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n2,n2,n7) )).++fof(axN21_22_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n2,n2,n8) )).++fof(axN21_22_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n2,n2,n9) )).++fof(axN21_23_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n3,n1) )).++fof(axN21_23_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n3,n2) )).++fof(axN21_23_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n3,n3) )).++fof(axN21_23_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n3,n4) )).++fof(axN21_23_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n3,n5) )).++fof(axN21_23_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n2,n3,n6) )).++fof(axN21_23_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n2,n3,n7) )).++fof(axN21_23_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n2,n3,n8) )).++fof(axN21_23_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n2,n3,n9) )).++fof(axN2_14_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n4,n1) )).++fof(axN2_14_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n4,n2) )).++fof(axN2_14_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n4,n3) )).++fof(axN21_24_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n4,n4) )).++fof(axN2_14_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n4,n5) )).++fof(axN2_14_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n2,n4,n6) )).++fof(axN2_14_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n2,n4,n7) )).++fof(axN2_14_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n2,n4,n8) )).++fof(axN2_14_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n2,n4,n9) )).++fof(axN2_15_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n5,n1) )).++fof(axN2_15_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n5,n2) )).++fof(axN2_15_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n5,n3) )).++fof(axN2_15_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n5,n4) )).++fof(axN2_15_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n5,n5) )).++fof(axN2_15_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n2,n5,n6) )).++fof(axN2_15_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n2,n5,n7) )).++fof(axN2_15_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n2,n5,n8) )).++fof(axN2_15_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n2,n5,n9) )).++fof(axN2_16_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n6,n1) )).++fof(axN2_16_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n6,n2) )).++fof(axN2_16_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n6,n3) )).++fof(axN2_16_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n6,n4) )).++fof(axN2_16_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n6,n5) )).++fof(axN2_16_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n2,n6,n6) )).++fof(axN2_16_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n2,n6,n7) )).++fof(axN2_16_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n2,n6,n8) )).++fof(axN2_16_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n2,n6,n9) )).++fof(axN2_17_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n7,n1) )).++fof(axN21_27_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n7,n2) )).++fof(axN2_17_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n7,n3) )).++fof(axN2_17_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n7,n4) )).++fof(axN2_17_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n7,n5) )).++fof(axN2_17_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n2,n7,n6) )).++fof(axN2_17_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n2,n7,n7) )).++fof(axN2_17_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n2,n7,n8) )).++fof(axN2_17_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n2,n7,n9) )).++fof(axN2_18_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n8,n1) )).++fof(axN2_18_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n8,n2) )).++fof(axN2_18_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n8,n3) )).++fof(axN2_18_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n8,n4) )).++fof(axN2_18_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n8,n5) )).++fof(axN2_18_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n2,n8,n6) )).++fof(axN2_18_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n2,n8,n7) )).++fof(axN2_18_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n2,n8,n8) )).++fof(axN2_18_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n2,n8,n9) )).++fof(axN2_19_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n9,n1) )).++fof(axN2_19_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n9,n2) )).++fof(axN21_29_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n9,n3) )).++fof(axN2_19_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n9,n4) )).++fof(axN2_19_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n9,n5) )).++fof(axN2_19_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n2,n9,n6) )).++fof(axN2_19_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n2,n9,n7) )).++fof(axN2_198,axiom,+ ( p(n2,n1,n8)+ => ~ p(n2,n9,n8) )).++fof(axN2_19_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n2,n9,n9) )).++fof(axN2_23_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n3,n1) )).++fof(axN2_23_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n3,n2) )).++fof(axN2_23_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n3,n3) )).++fof(axN2_23_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n3,n4) )).++fof(axN2_23_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n2,n3,n5) )).++fof(axN2_23_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n2,n3,n6) )).++fof(axN2_23_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n2,n3,n7) )).++fof(axN2_23_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n2,n3,n8) )).++fof(axN2_23_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n2,n3,n9) )).++fof(axN2_24_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n4,n1) )).++fof(axN2_24_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n4,n2) )).++fof(axN2_24_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n4,n3) )).++fof(axN2_24_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n4,n4) )).++fof(axN2_24_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n2,n4,n5) )).++fof(axN2_24_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n2,n4,n6) )).++fof(axN2_24_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n2,n4,n7) )).++fof(axN2_24_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n2,n4,n8) )).++fof(axN2_24_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n2,n4,n9) )).++fof(axN2_25_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n5,n1) )).++fof(axN2_25_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n5,n2) )).++fof(axN2_25_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n5,n3) )).++fof(axN2_25_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n5,n4) )).++fof(axN2_25_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n2,n5,n5) )).++fof(axN2_25_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n2,n5,n6) )).++fof(axN2_25_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n2,n5,n7) )).++fof(axN2_25_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n2,n5,n8) )).++fof(axN2_25_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n2,n5,n9) )).++fof(axN2_26_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n6,n1) )).++fof(axN2_26_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n6,n2) )).++fof(axN2_26_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n6,n3) )).++fof(axN2_26_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n6,n4) )).++fof(axN2_26_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n2,n6,n5) )).++fof(axN2_26_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n2,n6,n6) )).++fof(axN2_26_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n2,n6,n7) )).++fof(axN2_26_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n2,n6,n8) )).++fof(axN2_26_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n2,n6,n9) )).++fof(axN2_27_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n7,n1) )).++fof(axN2_27_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n7,n2) )).++fof(axN2_27_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n7,n3) )).++fof(axN2_27_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n7,n4) )).++fof(axN2_27_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n2,n7,n5) )).++fof(axN2_27_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n2,n7,n6) )).++fof(axN2_27_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n2,n7,n7) )).++fof(axN2_27_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n2,n7,n8) )).++fof(axN2_27_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n2,n7,n9) )).++fof(axN2_28_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n8,n1) )).++fof(axN2_28_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n8,n2) )).++fof(axN2_28_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n8,n3) )).++fof(axN2_28_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n8,n4) )).++fof(axN2_28_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n2,n8,n5) )).++fof(axN2_28_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n2,n8,n6) )).++fof(axN2_28_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n2,n8,n7) )).++fof(axN2_28_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n2,n8,n8) )).++fof(axN2_28_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n2,n8,n9) )).++fof(axN2_29_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n9,n1) )).++fof(axN2_29_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n9,n2) )).++fof(axN2_29_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n9,n3) )).++fof(axN2_29_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n9,n4) )).++fof(axN2_29_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n2,n9,n5) )).++fof(axN2_29_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n2,n9,n6) )).++fof(axN2_29_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n2,n9,n7) )).++fof(axN2_29_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n2,n9,n8) )).++fof(axN2_29_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n2,n9,n9) )).++fof(axN2_34_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n4,n1) )).++fof(axN2_34_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n4,n2) )).++fof(axN2_34_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n4,n3) )).++fof(axN2_34_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n2,n4,n4) )).++fof(axN2_34_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n2,n4,n5) )).++fof(axN2_34_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n2,n4,n6) )).++fof(axN2_34_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n2,n4,n7) )).++fof(axN2_34_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n2,n4,n8) )).++fof(axN2_34_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n2,n4,n9) )).++fof(axN2_35_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n5,n1) )).++fof(axN2_35_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n5,n2) )).++fof(axN2_35_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n5,n3) )).++fof(axN2_35_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n2,n5,n4) )).++fof(axN2_35_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n2,n5,n5) )).++fof(axN2_35_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n2,n5,n6) )).++fof(axN2_35_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n2,n5,n7) )).++fof(axN2_35_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n2,n5,n8) )).++fof(axN2_35_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n2,n5,n9) )).++fof(axN23_26_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n6,n1) )).++fof(axN2_36_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n6,n2) )).++fof(axN2_36_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n6,n3) )).++fof(axN2_36_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n2,n6,n4) )).++fof(axN2_36_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n2,n6,n5) )).++fof(axN2_36_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n2,n6,n6) )).++fof(axN2_36_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n2,n6,n7) )).++fof(axN2_36_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n2,n6,n8) )).++fof(axN2_36_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n2,n6,n9) )).++fof(axN2_37_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n7,n1) )).++fof(axN2_37_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n7,n2) )).++fof(axN2_37_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n7,n3) )).++fof(axN2_37_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n2,n7,n4) )).++fof(axN2_37_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n2,n7,n5) )).++fof(axN2_37_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n2,n7,n6) )).++fof(axN2_37_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n2,n7,n7) )).++fof(axN2_37_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n2,n7,n8) )).++fof(axN2_37_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n2,n7,n9) )).++fof(axN2_38_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n8,n1) )).++fof(axN2_38_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n8,n2) )).++fof(axN2_38_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n8,n3) )).++fof(axN2_38_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n2,n8,n4) )).++fof(axN2_38_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n2,n8,n5) )).++fof(axN2_38_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n2,n8,n6) )).++fof(axN2_38_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n2,n8,n7) )).++fof(axN2_38_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n2,n8,n8) )).++fof(axN2_38_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n2,n8,n9) )).++fof(axN2_39_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n9,n1) )).++fof(axN2_39_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n9,n2) )).++fof(axN2_39_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n9,n3) )).++fof(axN2_39_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n2,n9,n4) )).++fof(axN2_39_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n2,n9,n5) )).++fof(axN2_39_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n2,n9,n6) )).++fof(axN2_39_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n2,n9,n7) )).++fof(axN2_39_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n2,n9,n8) )).++fof(axN2_39_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n2,n9,n9) )).++fof(axN2_45_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n5,n1) )).++fof(axN2_45_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n5,n2) )).++fof(axN2_45_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n2,n5,n3) )).++fof(axN2_45_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n2,n5,n4) )).++fof(axN2_45_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n2,n5,n5) )).++fof(axN2_45_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n2,n5,n6) )).++fof(axN24_25_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n2,n5,n7) )).++fof(axN2_45_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n2,n5,n8) )).++fof(axN2_45_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n2,n5,n9) )).++fof(axN2_46_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n6,n1) )).++fof(axN2_46_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n6,n2) )).++fof(axN2_46_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n2,n6,n3) )).++fof(axN2_46_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n2,n6,n4) )).++fof(axN2_46_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n2,n6,n5) )).++fof(axN2_46_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n2,n6,n6) )).++fof(axN2_46_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n2,n6,n7) )).++fof(axN2_46_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n2,n6,n8) )).++fof(axN2_46_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n2,n6,n9) )).++fof(axN2_47_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n7,n1) )).++fof(axN2_47_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n7,n2) )).++fof(axN2_47_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n2,n7,n3) )).++fof(axN2_47_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n2,n7,n4) )).++fof(axN2_47_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n2,n7,n5) )).++fof(axN2_47_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n2,n7,n6) )).++fof(axN2_47_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n2,n7,n7) )).++fof(axN2_47_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n2,n7,n8) )).++fof(axN2_47_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n2,n7,n9) )).++fof(axN2_48_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n8,n1) )).++fof(axN2_48_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n8,n2) )).++fof(axN2_48_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n2,n8,n3) )).++fof(axN2_48_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n2,n8,n4) )).++fof(axN2_48_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n2,n8,n5) )).++fof(axN2_48_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n2,n8,n6) )).++fof(axN2_48_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n2,n8,n7) )).++fof(axN2_48_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n2,n8,n8) )).++fof(axN2_48_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n2,n8,n9) )).++fof(axN2_49_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n9,n1) )).++fof(axN2_49_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n9,n2) )).++fof(axN2_49_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n2,n9,n3) )).++fof(axN2_49_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n2,n9,n4) )).++fof(axN2_49_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n2,n9,n5) )).++fof(axN2_49_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n2,n9,n6) )).++fof(axN2_49_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n2,n9,n7) )).++fof(axN2_49_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n2,n9,n8) )).++fof(axN24_29_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n2,n9,n9) )).++fof(axN2_56_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n6,n1) )).++fof(axN2_56_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n2,n6,n2) )).++fof(axN2_56_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n2,n6,n3) )).++fof(axN2_56_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n2,n6,n4) )).++fof(axN2_56_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n2,n6,n5) )).++fof(axN2_56_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n2,n6,n6) )).++fof(axN2_56_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n2,n6,n7) )).++fof(axN2_56_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n2,n6,n8) )).++fof(axN2_56_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n2,n6,n9) )).++fof(axN2_57_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n7,n1) )).++fof(axN2_57_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n2,n7,n2) )).++fof(axN2_57_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n2,n7,n3) )).++fof(axN2_57_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n2,n7,n4) )).++fof(axN2_57_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n2,n7,n5) )).++fof(axN2_57_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n2,n7,n6) )).++fof(axN2_57_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n2,n7,n7) )).++fof(axN2_57_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n2,n7,n8) )).++fof(axN2_57_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n2,n7,n9) )).++fof(axN2_58_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n8,n1) )).++fof(axN2_58_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n2,n8,n2) )).++fof(axN2_58_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n2,n8,n3) )).++fof(axN2_58_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n2,n8,n4) )).++fof(axN2_58_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n2,n8,n5) )).++fof(axN2_58_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n2,n8,n6) )).++fof(axN2_58_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n2,n8,n7) )).++fof(axN2_58_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n2,n8,n8) )).++fof(axN2_58_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n2,n8,n9) )).++fof(axN2_59_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n9,n1) )).++fof(axN2_59_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n2,n9,n2) )).++fof(axN2_59_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n2,n9,n3) )).++fof(axN2_59_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n2,n9,n4) )).++fof(axN2_59_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n2,n9,n5) )).++fof(axN2_59_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n2,n9,n6) )).++fof(axN2_59_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n2,n9,n7) )).++fof(axN25_29_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n2,n9,n8) )).++fof(axN2_59_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n2,n9,n9) )).++fof(axN2_67_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n2,n7,n1) )).++fof(axN2_67_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n2,n7,n2) )).++fof(axN2_67_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n2,n7,n3) )).++fof(axN2_67_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n2,n7,n4) )).++fof(axN2_67_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n2,n7,n5) )).++fof(axN2_67_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n2,n7,n6) )).++fof(axN2_67_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n2,n7,n7) )).++fof(axN2_67_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n2,n7,n8) )).++fof(axN2_67_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n2,n7,n9) )).++fof(axN2_68_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n2,n8,n1) )).++fof(axN2_68_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n2,n8,n2) )).++fof(axN2_68_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n2,n8,n3) )).++fof(axN2_68_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n2,n8,n4) )).++fof(axN2_68_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n2,n8,n5) )).++fof(axN2_68_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n2,n8,n6) )).++fof(axN2_68_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n2,n8,n7) )).++fof(axN2_68_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n2,n8,n8) )).++fof(axN2_68_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n2,n8,n9) )).++fof(axN2_69_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n2,n9,n1) )).++fof(axN2_69_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n2,n9,n2) )).++fof(axN2_69_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n2,n9,n3) )).++fof(axN2_69_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n2,n9,n4) )).++fof(axN2_69_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n2,n9,n5) )).++fof(axN2_69_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n2,n9,n6) )).++fof(axN2_69_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n2,n9,n7) )).++fof(axN2_69_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n2,n9,n8) )).++fof(axN2_69_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n2,n9,n9) )).++fof(axN2_78_1,axiom,+ ( p(n2,n7,n1)+ => ~ p(n2,n8,n1) )).++fof(axN2_78_2,axiom,+ ( p(n2,n7,n2)+ => ~ p(n2,n8,n2) )).++fof(axN2_78_3,axiom,+ ( p(n2,n7,n3)+ => ~ p(n2,n8,n3) )).++fof(axN2_78_4,axiom,+ ( p(n2,n7,n4)+ => ~ p(n2,n8,n4) )).++fof(axN27_28_5,axiom,+ ( p(n2,n7,n5)+ => ~ p(n2,n8,n5) )).++fof(axN2_78_6,axiom,+ ( p(n2,n7,n6)+ => ~ p(n2,n8,n6) )).++fof(axN2_78_7,axiom,+ ( p(n2,n7,n7)+ => ~ p(n2,n8,n7) )).++fof(axN2_78_8,axiom,+ ( p(n2,n7,n8)+ => ~ p(n2,n8,n8) )).++fof(axN2_78_9,axiom,+ ( p(n2,n7,n9)+ => ~ p(n2,n8,n9) )).++fof(axN2_79_1,axiom,+ ( p(n2,n7,n1)+ => ~ p(n2,n9,n1) )).++fof(axN2_79_2,axiom,+ ( p(n2,n7,n2)+ => ~ p(n2,n9,n2) )).++fof(axN2_79_3,axiom,+ ( p(n2,n7,n3)+ => ~ p(n2,n9,n3) )).++fof(axN2_79_4,axiom,+ ( p(n2,n7,n4)+ => ~ p(n2,n9,n4) )).++fof(axN2_79_5,axiom,+ ( p(n2,n7,n5)+ => ~ p(n2,n9,n5) )).++fof(axN2_79_6,axiom,+ ( p(n2,n7,n6)+ => ~ p(n2,n9,n6) )).++fof(axN2_79_7,axiom,+ ( p(n2,n7,n7)+ => ~ p(n2,n9,n7) )).++fof(axN2_79_8,axiom,+ ( p(n2,n7,n8)+ => ~ p(n2,n9,n8) )).++fof(axN2_79_9,axiom,+ ( p(n2,n7,n9)+ => ~ p(n2,n9,n9) )).++fof(axN2_89_1,axiom,+ ( p(n2,n8,n1)+ => ~ p(n2,n9,n1) )).++fof(axN2_89_2,axiom,+ ( p(n2,n8,n2)+ => ~ p(n2,n9,n2) )).++fof(axN2_89_3,axiom,+ ( p(n2,n8,n3)+ => ~ p(n2,n9,n3) )).++fof(axN2_89_4,axiom,+ ( p(n2,n8,n4)+ => ~ p(n2,n9,n4) )).++fof(axN2_89_5,axiom,+ ( p(n2,n8,n5)+ => ~ p(n2,n9,n5) )).++fof(axN2_89_6,axiom,+ ( p(n2,n8,n6)+ => ~ p(n2,n9,n6) )).++fof(axN2_89_7,axiom,+ ( p(n2,n8,n7)+ => ~ p(n2,n9,n7) )).++fof(axN2_89_8,axiom,+ ( p(n2,n8,n8)+ => ~ p(n2,n9,n8) )).++fof(axN2_89_9,axiom,+ ( p(n2,n8,n9)+ => ~ p(n2,n9,n9) )).++fof(axN3_12_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n2,n1) )).++fof(axN3_12_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n2,n2) )).++fof(axN3_12_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n2,n3) )).++fof(axN3_12_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n2,n4) )).++fof(axN3_12_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n2,n5) )).++fof(axN3_12_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n3,n2,n6) )).++fof(axN3_12_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n3,n2,n7) )).++fof(axN3_12_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n3,n2,n8) )).++fof(axN3_12_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n3,n2,n9) )).++fof(axN31_33_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n3,n1) )).++fof(axN3_13_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n3,n2) )).++fof(axN3_13_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n3,n3) )).++fof(axN3_13_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n3,n4) )).++fof(axN3_13_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n3,n5) )).++fof(axN3_13_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n3,n3,n6) )).++fof(axN3_13_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n3,n3,n7) )).++fof(axN3_13_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n3,n3,n8) )).++fof(axN3_13_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n3,n3,n9) )).++fof(axN3_14_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n4,n1) )).++fof(axN3_14_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n4,n2) )).++fof(axN3_14_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n4,n3) )).++fof(axN3_14_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n4,n4) )).++fof(axN3_14_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n4,n5) )).++fof(axN3_14_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n3,n4,n6) )).++fof(axN3_14_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n3,n4,n7) )).++fof(axN3_14_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n3,n4,n8) )).++fof(axN3_14_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n3,n4,n9) )).++fof(axN3_15_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n5,n1) )).++fof(axN3_15_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n5,n2) )).++fof(axN3_15_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n5,n3) )).++fof(axN3_15_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n5,n4) )).++fof(axN3_15_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n5,n5) )).++fof(axN3_15_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n3,n5,n6) )).++fof(axN3_15_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n3,n5,n7) )).++fof(axN3_15_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n3,n5,n8) )).++fof(axN3_15_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n3,n5,n9) )).++fof(axN3_16_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n6,n1) )).++fof(axN3_16_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n6,n2) )).++fof(axN3_16_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n6,n3) )).++fof(axN31_36_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n6,n4) )).++fof(axN3_16_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n6,n5) )).++fof(axN3_16_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n3,n6,n6) )).++fof(axN3_16_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n3,n6,n7) )).++fof(axN3_16_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n3,n6,n8) )).++fof(axN3_16_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n3,n6,n9) )).++fof(axN3_17_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n7,n1) )).++fof(axN3_17_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n7,n2) )).++fof(axN3_17_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n7,n3) )).++fof(axN3_17_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n7,n4) )).++fof(axN3_17_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n7,n5) )).++fof(axN3_17_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n3,n7,n6) )).++fof(axN3_17_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n3,n7,n7) )).++fof(axN3_17_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n3,n7,n8) )).++fof(axN3_17_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n3,n7,n9) )).++fof(axN3_18_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n8,n1) )).++fof(axN3_18_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n8,n2) )).++fof(axN3_18_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n8,n3) )).++fof(axN3_18_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n8,n4) )).++fof(axN3_18_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n8,n5) )).++fof(axN3_18_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n3,n8,n6) )).++fof(axN3_18_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n3,n8,n7) )).++fof(axN3_18_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n3,n8,n8) )).++fof(axN3_18_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n3,n8,n9) )).++fof(axN3_19_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n9,n1) )).++fof(axN3_19_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n9,n2) )).++fof(axN3_19_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n9,n3) )).++fof(axN3_19_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n9,n4) )).++fof(axN31_39_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n9,n5) )).++fof(axN3_19_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n3,n9,n6) )).++fof(axN3_19_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n3,n9,n7) )).++fof(axN3_198,axiom,+ ( p(n3,n1,n8)+ => ~ p(n3,n9,n8) )).++fof(axN3_19_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n3,n9,n9) )).++fof(axN3_23_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n3,n1) )).++fof(axN3_23_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n3,n2) )).++fof(axN3_23_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n3,n3) )).++fof(axN3_23_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n3,n4) )).++fof(axN3_23_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n3,n3,n5) )).++fof(axN3_23_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n3,n3,n6) )).++fof(axN3_23_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n3,n3,n7) )).++fof(axN3_23_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n3,n3,n8) )).++fof(axN3_23_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n3,n3,n9) )).++fof(axN3_24_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n4,n1) )).++fof(axN3_24_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n4,n2) )).++fof(axN3_24_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n4,n3) )).++fof(axN3_24_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n4,n4) )).++fof(axN3_24_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n3,n4,n5) )).++fof(axN3_24_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n3,n4,n6) )).++fof(axN3_24_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n3,n4,n7) )).++fof(axN3_24_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n3,n4,n8) )).++fof(axN3_24_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n3,n4,n9) )).++fof(axN3_25_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n5,n1) )).++fof(axN3_25_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n5,n2) )).++fof(axN3_25_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n5,n3) )).++fof(axN3_25_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n5,n4) )).++fof(axN3_25_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n3,n5,n5) )).++fof(axN3_25_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n3,n5,n6) )).++fof(axN3_25_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n3,n5,n7) )).++fof(axN3_25_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n3,n5,n8) )).++fof(axN3_25_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n3,n5,n9) )).++fof(axN3_26_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n6,n1) )).++fof(axN32_36_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n6,n2) )).++fof(axN3_26_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n6,n3) )).++fof(axN3_26_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n6,n4) )).++fof(axN3_26_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n3,n6,n5) )).++fof(axN3_26_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n3,n6,n6) )).++fof(axN3_26_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n3,n6,n7) )).++fof(axN3_26_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n3,n6,n8) )).++fof(axN3_26_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n3,n6,n9) )).++fof(axN3_27_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n7,n1) )).++fof(axN3_27_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n7,n2) )).++fof(axN3_27_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n7,n3) )).++fof(axN3_27_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n7,n4) )).++fof(axN3_27_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n3,n7,n5) )).++fof(axN3_27_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n3,n7,n6) )).++fof(axN3_27_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n3,n7,n7) )).++fof(axN3_27_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n3,n7,n8) )).++fof(axN3_27_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n3,n7,n9) )).++fof(axN3_28_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n8,n1) )).++fof(axN3_28_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n8,n2) )).++fof(axN3_28_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n8,n3) )).++fof(axN3_28_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n8,n4) )).++fof(axN3_28_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n3,n8,n5) )).++fof(axN3_28_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n3,n8,n6) )).++fof(axN3_28_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n3,n8,n7) )).++fof(axN3_28_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n3,n8,n8) )).++fof(axN3_28_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n3,n8,n9) )).++fof(axN3_29_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n9,n1) )).++fof(axN3_29_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n9,n2) )).++fof(axN3_29_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n9,n3) )).++fof(axN3_29_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n9,n4) )).++fof(axN3_29_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n3,n9,n5) )).++fof(axN3_29_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n3,n9,n6) )).++fof(axN3_29_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n3,n9,n7) )).++fof(axN3_29_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n3,n9,n8) )).++fof(axN32_39_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n3,n9,n9) )).++fof(axN3_34_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n4,n1) )).++fof(axN3_34_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n4,n2) )).++fof(axN3_34_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n4,n3) )).++fof(axN3_34_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n3,n4,n4) )).++fof(axN3_34_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n3,n4,n5) )).++fof(axN3_34_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n3,n4,n6) )).++fof(axN3_34_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n3,n4,n7) )).++fof(axN3_34_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n3,n4,n8) )).++fof(axN3_34_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n3,n4,n9) )).++fof(axN3_35_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n5,n1) )).++fof(axN3_35_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n5,n2) )).++fof(axN3_35_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n5,n3) )).++fof(axN3_35_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n3,n5,n4) )).++fof(axN3_35_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n3,n5,n5) )).++fof(axN3_35_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n3,n5,n6) )).++fof(axN3_35_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n3,n5,n7) )).++fof(axN3_35_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n3,n5,n8) )).++fof(axN3_35_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n3,n5,n9) )).++fof(axN3_36_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n6,n1) )).++fof(axN3_36_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n6,n2) )).++fof(axN3_36_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n6,n3) )).++fof(axN3_36_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n3,n6,n4) )).++fof(axN3_36_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n3,n6,n5) )).++fof(axN3_36_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n3,n6,n6) )).++fof(axN3_36_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n3,n6,n7) )).++fof(axN3_36_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n3,n6,n8) )).++fof(axN3_36_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n3,n6,n9) )).++fof(axN3_37_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n7,n1) )).++fof(axN3_37_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n7,n2) )).++fof(axN3_37_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n7,n3) )).++fof(axN33_37_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n3,n7,n4) )).++fof(axN3_37_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n3,n7,n5) )).++fof(axN3_37_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n3,n7,n6) )).++fof(axN3_37_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n3,n7,n7) )).++fof(axN3_37_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n3,n7,n8) )).++fof(axN3_37_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n3,n7,n9) )).++fof(axN3_38_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n8,n1) )).++fof(axN3_38_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n8,n2) )).++fof(axN3_38_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n8,n3) )).++fof(axN3_38_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n3,n8,n4) )).++fof(axN3_38_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n3,n8,n5) )).++fof(axN3_38_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n3,n8,n6) )).++fof(axN3_38_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n3,n8,n7) )).++fof(axN3_38_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n3,n8,n8) )).++fof(axN3_38_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n3,n8,n9) )).++fof(axN3_39_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n9,n1) )).++fof(axN3_39_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n9,n2) )).++fof(axN3_39_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n9,n3) )).++fof(axN3_39_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n3,n9,n4) )).++fof(axN3_39_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n3,n9,n5) )).++fof(axN3_39_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n3,n9,n6) )).++fof(axN3_39_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n3,n9,n7) )).++fof(axN3_39_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n3,n9,n8) )).++fof(axN3_39_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n3,n9,n9) )).++fof(axN3_45_1,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n5,n1) )).++fof(axN3_45_2,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n5,n2) )).++fof(axN3_45_3,axiom,+ ( p(n3,n4,n3)+ => ~ p(n3,n5,n3) )).++fof(axN3_45_4,axiom,+ ( p(n3,n4,n4)+ => ~ p(n3,n5,n4) )).++fof(axN3_45_5,axiom,+ ( p(n3,n4,n5)+ => ~ p(n3,n5,n5) )).++fof(axN3_45_6,axiom,+ ( p(n3,n4,n6)+ => ~ p(n3,n5,n6) )).++fof(axN3_45_7,axiom,+ ( p(n3,n4,n7)+ => ~ p(n3,n5,n7) )).++fof(axN3_45_8,axiom,+ ( p(n3,n4,n8)+ => ~ p(n3,n5,n8) )).++fof(axN3_45_9,axiom,+ ( p(n3,n4,n9)+ => ~ p(n3,n5,n9) )).++fof(axN3_46_1,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n6,n1) )).++fof(axN34_36_2,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n6,n2) )).++fof(axN3_46_3,axiom,+ ( p(n3,n4,n3)+ => ~ p(n3,n6,n3) )).++fof(axN3_46_4,axiom,+ ( p(n3,n4,n4)+ => ~ p(n3,n6,n4) )).++fof(axN3_46_5,axiom,+ ( p(n3,n4,n5)+ => ~ p(n3,n6,n5) )).++fof(axN3_46_6,axiom,+ ( p(n3,n4,n6)+ => ~ p(n3,n6,n6) )).++fof(axN3_46_7,axiom,+ ( p(n3,n4,n7)+ => ~ p(n3,n6,n7) )).++fof(axN3_46_8,axiom,+ ( p(n3,n4,n8)+ => ~ p(n3,n6,n8) )).++fof(axN3_46_9,axiom,+ ( p(n3,n4,n9)+ => ~ p(n3,n6,n9) )).++fof(axN3_47_1,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n7,n1) )).++fof(axN3_47_2,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n7,n2) )).++fof(axN3_47_3,axiom,+ ( p(n3,n4,n3)+ => ~ p(n3,n7,n3) )).++fof(axN3_47_4,axiom,+ ( p(n3,n4,n4)+ => ~ p(n3,n7,n4) )).++fof(axN3_47_5,axiom,+ ( p(n3,n4,n5)+ => ~ p(n3,n7,n5) )).++fof(axN3_47_6,axiom,+ ( p(n3,n4,n6)+ => ~ p(n3,n7,n6) )).++fof(axN3_47_7,axiom,+ ( p(n3,n4,n7)+ => ~ p(n3,n7,n7) )).++fof(axN3_47_8,axiom,+ ( p(n3,n4,n8)+ => ~ p(n3,n7,n8) )).++fof(axN3_47_9,axiom,+ ( p(n3,n4,n9)+ => ~ p(n3,n7,n9) )).++fof(axN3_48_1,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n8,n1) )).++fof(axN3_48_2,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n8,n2) )).++fof(axN3_48_3,axiom,+ ( p(n3,n4,n3)+ => ~ p(n3,n8,n3) )).++fof(axN3_48_4,axiom,+ ( p(n3,n4,n4)+ => ~ p(n3,n8,n4) )).++fof(axN3_48_5,axiom,+ ( p(n3,n4,n5)+ => ~ p(n3,n8,n5) )).++fof(axN3_48_6,axiom,+ ( p(n3,n4,n6)+ => ~ p(n3,n8,n6) )).++fof(axN3_48_7,axiom,+ ( p(n3,n4,n7)+ => ~ p(n3,n8,n7) )).++fof(axN3_48_8,axiom,+ ( p(n3,n4,n8)+ => ~ p(n3,n8,n8) )).++fof(axN3_48_9,axiom,+ ( p(n3,n4,n9)+ => ~ p(n3,n8,n9) )).++fof(axN3_49_1,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n9,n1) )).++fof(axN3_49_2,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n9,n2) )).++fof(axN3_49_3,axiom,+ ( p(n3,n4,n3)+ => ~ p(n3,n9,n3) )).++fof(axN3_49_4,axiom,+ ( p(n3,n4,n4)+ => ~ p(n3,n9,n4) )).++fof(axN3_49_5,axiom,+ ( p(n3,n4,n5)+ => ~ p(n3,n9,n5) )).++fof(axN3_49_6,axiom,+ ( p(n3,n4,n6)+ => ~ p(n3,n9,n6) )).++fof(axN3_49_7,axiom,+ ( p(n3,n4,n7)+ => ~ p(n3,n9,n7) )).++fof(axN3_49_8,axiom,+ ( p(n3,n4,n8)+ => ~ p(n3,n9,n8) )).++fof(axN3_49_9,axiom,+ ( p(n3,n4,n9)+ => ~ p(n3,n9,n9) )).++fof(axN3_56_1,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n6,n1) )).++fof(axN35_36_2,axiom,+ ( p(n3,n5,n2)+ => ~ p(n3,n6,n2) )).++fof(axN3_56_3,axiom,+ ( p(n3,n5,n3)+ => ~ p(n3,n6,n3) )).++fof(axN3_56_4,axiom,+ ( p(n3,n5,n4)+ => ~ p(n3,n6,n4) )).++fof(axN3_56_5,axiom,+ ( p(n3,n5,n5)+ => ~ p(n3,n6,n5) )).++fof(axN3_56_6,axiom,+ ( p(n3,n5,n6)+ => ~ p(n3,n6,n6) )).++fof(axN3_56_7,axiom,+ ( p(n3,n5,n7)+ => ~ p(n3,n6,n7) )).++fof(axN3_56_8,axiom,+ ( p(n3,n5,n8)+ => ~ p(n3,n6,n8) )).++fof(axN3_56_9,axiom,+ ( p(n3,n5,n9)+ => ~ p(n3,n6,n9) )).++fof(axN3_57_1,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n7,n1) )).++fof(axN3_57_2,axiom,+ ( p(n3,n5,n2)+ => ~ p(n3,n7,n2) )).++fof(axN3_57_3,axiom,+ ( p(n3,n5,n3)+ => ~ p(n3,n7,n3) )).++fof(axN3_57_4,axiom,+ ( p(n3,n5,n4)+ => ~ p(n3,n7,n4) )).++fof(axN3_57_5,axiom,+ ( p(n3,n5,n5)+ => ~ p(n3,n7,n5) )).++fof(axN3_57_6,axiom,+ ( p(n3,n5,n6)+ => ~ p(n3,n7,n6) )).++fof(axN3_57_7,axiom,+ ( p(n3,n5,n7)+ => ~ p(n3,n7,n7) )).++fof(axN3_57_8,axiom,+ ( p(n3,n5,n8)+ => ~ p(n3,n7,n8) )).++fof(axN3_57_9,axiom,+ ( p(n3,n5,n9)+ => ~ p(n3,n7,n9) )).++fof(axN3_58_1,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n8,n1) )).++fof(axN3_58_2,axiom,+ ( p(n3,n5,n2)+ => ~ p(n3,n8,n2) )).++fof(axN3_58_3,axiom,+ ( p(n3,n5,n3)+ => ~ p(n3,n8,n3) )).++fof(axN3_58_4,axiom,+ ( p(n3,n5,n4)+ => ~ p(n3,n8,n4) )).++fof(axN3_58_5,axiom,+ ( p(n3,n5,n5)+ => ~ p(n3,n8,n5) )).++fof(axN3_58_6,axiom,+ ( p(n3,n5,n6)+ => ~ p(n3,n8,n6) )).++fof(axN3_58_7,axiom,+ ( p(n3,n5,n7)+ => ~ p(n3,n8,n7) )).++fof(axN3_58_8,axiom,+ ( p(n3,n5,n8)+ => ~ p(n3,n8,n8) )).++fof(axN3_58_9,axiom,+ ( p(n3,n5,n9)+ => ~ p(n3,n8,n9) )).++fof(axN3_59_1,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n9,n1) )).++fof(axN3_59_2,axiom,+ ( p(n3,n5,n2)+ => ~ p(n3,n9,n2) )).++fof(axN3_59_3,axiom,+ ( p(n3,n5,n3)+ => ~ p(n3,n9,n3) )).++fof(axN3_59_4,axiom,+ ( p(n3,n5,n4)+ => ~ p(n3,n9,n4) )).++fof(axN3_59_5,axiom,+ ( p(n3,n5,n5)+ => ~ p(n3,n9,n5) )).++fof(axN35_39_6,axiom,+ ( p(n3,n5,n6)+ => ~ p(n3,n9,n6) )).++fof(axN3_59_7,axiom,+ ( p(n3,n5,n7)+ => ~ p(n3,n9,n7) )).++fof(axN3_59_8,axiom,+ ( p(n3,n5,n8)+ => ~ p(n3,n9,n8) )).++fof(axN3_59_9,axiom,+ ( p(n3,n5,n9)+ => ~ p(n3,n9,n9) )).++fof(axN3_67_1,axiom,+ ( p(n3,n6,n1)+ => ~ p(n3,n7,n1) )).++fof(axN3_67_2,axiom,+ ( p(n3,n6,n2)+ => ~ p(n3,n7,n2) )).++fof(axN3_67_3,axiom,+ ( p(n3,n6,n3)+ => ~ p(n3,n7,n3) )).++fof(axN3_67_4,axiom,+ ( p(n3,n6,n4)+ => ~ p(n3,n7,n4) )).++fof(axN3_67_5,axiom,+ ( p(n3,n6,n5)+ => ~ p(n3,n7,n5) )).++fof(axN3_67_6,axiom,+ ( p(n3,n6,n6)+ => ~ p(n3,n7,n6) )).++fof(axN3_67_7,axiom,+ ( p(n3,n6,n7)+ => ~ p(n3,n7,n7) )).++fof(axN3_67_8,axiom,+ ( p(n3,n6,n8)+ => ~ p(n3,n7,n8) )).++fof(axN3_67_9,axiom,+ ( p(n3,n6,n9)+ => ~ p(n3,n7,n9) )).++fof(axN3_68_1,axiom,+ ( p(n3,n6,n1)+ => ~ p(n3,n8,n1) )).++fof(axN3_68_2,axiom,+ ( p(n3,n6,n2)+ => ~ p(n3,n8,n2) )).++fof(axN3_68_3,axiom,+ ( p(n3,n6,n3)+ => ~ p(n3,n8,n3) )).++fof(axN3_68_4,axiom,+ ( p(n3,n6,n4)+ => ~ p(n3,n8,n4) )).++fof(axN3_68_5,axiom,+ ( p(n3,n6,n5)+ => ~ p(n3,n8,n5) )).++fof(axN3_68_6,axiom,+ ( p(n3,n6,n6)+ => ~ p(n3,n8,n6) )).++fof(axN3_68_7,axiom,+ ( p(n3,n6,n7)+ => ~ p(n3,n8,n7) )).++fof(axN3_68_8,axiom,+ ( p(n3,n6,n8)+ => ~ p(n3,n8,n8) )).++fof(axN3_68_9,axiom,+ ( p(n3,n6,n9)+ => ~ p(n3,n8,n9) )).++fof(axN3_69_1,axiom,+ ( p(n3,n6,n1)+ => ~ p(n3,n9,n1) )).++fof(axN3_69_2,axiom,+ ( p(n3,n6,n2)+ => ~ p(n3,n9,n2) )).++fof(axN3_69_3,axiom,+ ( p(n3,n6,n3)+ => ~ p(n3,n9,n3) )).++fof(axN3_69_4,axiom,+ ( p(n3,n6,n4)+ => ~ p(n3,n9,n4) )).++fof(axN3_69_5,axiom,+ ( p(n3,n6,n5)+ => ~ p(n3,n9,n5) )).++fof(axN3_69_6,axiom,+ ( p(n3,n6,n6)+ => ~ p(n3,n9,n6) )).++fof(axN3_69_7,axiom,+ ( p(n3,n6,n7)+ => ~ p(n3,n9,n7) )).++fof(axN3_69_8,axiom,+ ( p(n3,n6,n8)+ => ~ p(n3,n9,n8) )).++fof(axN3_69_9,axiom,+ ( p(n3,n6,n9)+ => ~ p(n3,n9,n9) )).++fof(axN3_78_1,axiom,+ ( p(n3,n7,n1)+ => ~ p(n3,n8,n1) )).++fof(axN3_78_2,axiom,+ ( p(n3,n7,n2)+ => ~ p(n3,n8,n2) )).++fof(axN3_78_3,axiom,+ ( p(n3,n7,n3)+ => ~ p(n3,n8,n3) )).++fof(axN3_78_4,axiom,+ ( p(n3,n7,n4)+ => ~ p(n3,n8,n4) )).++fof(axN37_38_5,axiom,+ ( p(n3,n7,n5)+ => ~ p(n3,n8,n5) )).++fof(axN3_78_6,axiom,+ ( p(n3,n7,n6)+ => ~ p(n3,n8,n6) )).++fof(axN3_78_7,axiom,+ ( p(n3,n7,n7)+ => ~ p(n3,n8,n7) )).++fof(axN3_78_8,axiom,+ ( p(n3,n7,n8)+ => ~ p(n3,n8,n8) )).++fof(axN3_78_9,axiom,+ ( p(n3,n7,n9)+ => ~ p(n3,n8,n9) )).++fof(axN3_79_1,axiom,+ ( p(n3,n7,n1)+ => ~ p(n3,n9,n1) )).++fof(axN3_79_2,axiom,+ ( p(n3,n7,n2)+ => ~ p(n3,n9,n2) )).++fof(axN3_79_3,axiom,+ ( p(n3,n7,n3)+ => ~ p(n3,n9,n3) )).++fof(axN3_79_4,axiom,+ ( p(n3,n7,n4)+ => ~ p(n3,n9,n4) )).++fof(axN3_79_5,axiom,+ ( p(n3,n7,n5)+ => ~ p(n3,n9,n5) )).++fof(axN3_79_6,axiom,+ ( p(n3,n7,n6)+ => ~ p(n3,n9,n6) )).++fof(axN3_79_7,axiom,+ ( p(n3,n7,n7)+ => ~ p(n3,n9,n7) )).++fof(axN3_79_8,axiom,+ ( p(n3,n7,n8)+ => ~ p(n3,n9,n8) )).++fof(axN3_79_9,axiom,+ ( p(n3,n7,n9)+ => ~ p(n3,n9,n9) )).++fof(axN3_89_1,axiom,+ ( p(n3,n8,n1)+ => ~ p(n3,n9,n1) )).++fof(axN3_89_2,axiom,+ ( p(n3,n8,n2)+ => ~ p(n3,n9,n2) )).++fof(axN3_89_3,axiom,+ ( p(n3,n8,n3)+ => ~ p(n3,n9,n3) )).++fof(axN3_89_4,axiom,+ ( p(n3,n8,n4)+ => ~ p(n3,n9,n4) )).++fof(axN3_89_5,axiom,+ ( p(n3,n8,n5)+ => ~ p(n3,n9,n5) )).++fof(axN3_89_6,axiom,+ ( p(n3,n8,n6)+ => ~ p(n3,n9,n6) )).++fof(axN3_89_7,axiom,+ ( p(n3,n8,n7)+ => ~ p(n3,n9,n7) )).++fof(axN3_89_8,axiom,+ ( p(n3,n8,n8)+ => ~ p(n3,n9,n8) )).++fof(axN3_89_9,axiom,+ ( p(n3,n8,n9)+ => ~ p(n3,n9,n9) )).++fof(axN4_12_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n2,n1) )).++fof(axN4_12_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n2,n2) )).++fof(axN4_12_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n2,n3) )).++fof(axN4_12_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n2,n4) )).++fof(axN4_12_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n2,n5) )).++fof(axN4_12_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n4,n2,n6) )).++fof(axN4_12_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n4,n2,n7) )).++fof(axN4_12_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n4,n2,n8) )).++fof(axN4_12_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n4,n2,n9) )).++fof(axN4_13_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n3,n1) )).++fof(axN41_43_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n3,n2) )).++fof(axN4_13_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n3,n3) )).++fof(axN4_13_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n3,n4) )).++fof(axN4_13_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n3,n5) )).++fof(axN4_13_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n4,n3,n6) )).++fof(axN4_13_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n4,n3,n7) )).++fof(axN4_13_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n4,n3,n8) )).++fof(axN4_13_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n4,n3,n9) )).++fof(axN4_14_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n4,n1) )).++fof(axN4_14_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n4,n2) )).++fof(axN4_14_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n4,n3) )).++fof(axN4_14_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n4,n4) )).++fof(axN4_14_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n4,n5) )).++fof(axN4_14_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n4,n4,n6) )).++fof(axN4_14_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n4,n4,n7) )).++fof(axN4_14_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n4,n4,n8) )).++fof(axN4_14_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n4,n4,n9) )).++fof(axN4_15_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n5,n1) )).++fof(axN4_15_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n5,n2) )).++fof(axN4_15_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n5,n3) )).++fof(axN4_15_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n5,n4) )).++fof(axN4_15_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n5,n5) )).++fof(axN4_15_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n4,n5,n6) )).++fof(axN4_15_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n4,n5,n7) )).++fof(axN4_15_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n4,n5,n8) )).++fof(axN4_15_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n4,n5,n9) )).++fof(axN4_16_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n6,n1) )).++fof(axN4_16_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n6,n2) )).++fof(axN4_16_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n6,n3) )).++fof(axN4_16_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n6,n4) )).++fof(axN4_16_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n6,n5) )).++fof(axN4_16_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n4,n6,n6) )).++fof(axN41_46_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n4,n6,n7) )).++fof(axN4_16_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n4,n6,n8) )).++fof(axN4_16_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n4,n6,n9) )).++fof(axN4_17_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n7,n1) )).++fof(axN4_17_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n7,n2) )).++fof(axN4_17_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n7,n3) )).++fof(axN4_17_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n7,n4) )).++fof(axN4_17_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n7,n5) )).++fof(axN4_17_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n4,n7,n6) )).++fof(axN4_17_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n4,n7,n7) )).++fof(axN4_17_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n4,n7,n8) )).++fof(axN4_17_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n4,n7,n9) )).++fof(axN4_18_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n8,n1) )).++fof(axN4_18_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n8,n2) )).++fof(axN4_18_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n8,n3) )).++fof(axN4_18_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n8,n4) )).++fof(axN4_18_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n8,n5) )).++fof(axN4_18_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n4,n8,n6) )).++fof(axN4_18_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n4,n8,n7) )).++fof(axN4_18_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n4,n8,n8) )).++fof(axN4_18_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n4,n8,n9) )).++fof(axN4_19_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n9,n1) )).++fof(axN4_19_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n9,n2) )).++fof(axN4_19_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n9,n3) )).++fof(axN4_19_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n9,n4) )).++fof(axN4_19_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n9,n5) )).++fof(axN4_19_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n4,n9,n6) )).++fof(axN4_19_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n4,n9,n7) )).++fof(axN4_198,axiom,+ ( p(n4,n1,n8)+ => ~ p(n4,n9,n8) )).++fof(axN41_49_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n4,n9,n9) )).++fof(axN4_23_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n3,n1) )).++fof(axN4_23_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n3,n2) )).++fof(axN4_23_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n3,n3) )).++fof(axN4_23_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n3,n4) )).++fof(axN4_23_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n4,n3,n5) )).++fof(axN4_23_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n4,n3,n6) )).++fof(axN4_23_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n4,n3,n7) )).++fof(axN4_23_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n4,n3,n8) )).++fof(axN4_23_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n4,n3,n9) )).++fof(axN4_24_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n4,n1) )).++fof(axN4_24_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n4,n2) )).++fof(axN4_24_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n4,n3) )).++fof(axN4_24_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n4,n4) )).++fof(axN4_24_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n4,n4,n5) )).++fof(axN4_24_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n4,n4,n6) )).++fof(axN4_24_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n4,n4,n7) )).++fof(axN4_24_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n4,n4,n8) )).++fof(axN4_24_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n4,n4,n9) )).++fof(axN4_25_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n5,n1) )).++fof(axN4_25_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n5,n2) )).++fof(axN4_25_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n5,n3) )).++fof(axN4_25_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n5,n4) )).++fof(axN4_25_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n4,n5,n5) )).++fof(axN4_25_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n4,n5,n6) )).++fof(axN4_25_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n4,n5,n7) )).++fof(axN4_25_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n4,n5,n8) )).++fof(axN4_25_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n4,n5,n9) )).++fof(axN4_26_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n6,n1) )).++fof(axN4_26_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n6,n2) )).++fof(axN4_26_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n6,n3) )).++fof(axN42_46_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n6,n4) )).++fof(axN4_26_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n4,n6,n5) )).++fof(axN4_26_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n4,n6,n6) )).++fof(axN4_26_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n4,n6,n7) )).++fof(axN4_26_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n4,n6,n8) )).++fof(axN4_26_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n4,n6,n9) )).++fof(axN4_27_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n7,n1) )).++fof(axN4_27_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n7,n2) )).++fof(axN4_27_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n7,n3) )).++fof(axN4_27_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n7,n4) )).++fof(axN4_27_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n4,n7,n5) )).++fof(axN4_27_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n4,n7,n6) )).++fof(axN4_27_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n4,n7,n7) )).++fof(axN4_27_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n4,n7,n8) )).++fof(axN4_27_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n4,n7,n9) )).++fof(axN4_28_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n8,n1) )).++fof(axN4_28_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n8,n2) )).++fof(axN4_28_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n8,n3) )).++fof(axN4_28_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n8,n4) )).++fof(axN4_28_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n4,n8,n5) )).++fof(axN4_28_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n4,n8,n6) )).++fof(axN4_28_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n4,n8,n7) )).++fof(axN4_28_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n4,n8,n8) )).++fof(axN4_28_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n4,n8,n9) )).++fof(axN4_29_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n9,n1) )).++fof(axN4_29_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n9,n2) )).++fof(axN4_29_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n9,n3) )).++fof(axN4_29_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n9,n4) )).++fof(axN4_29_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n4,n9,n5) )).++fof(axN4_29_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n4,n9,n6) )).++fof(axN42_49_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n4,n9,n7) )).++fof(axN4_29_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n4,n9,n8) )).++fof(axN4_29_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n4,n9,n9) )).++fof(axN4_34_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n4,n1) )).++fof(axN4_34_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n4,n2) )).++fof(axN4_34_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n4,n3) )).++fof(axN4_34_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n4,n4,n4) )).++fof(axN4_34_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n4,n4,n5) )).++fof(axN4_34_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n4,n4,n6) )).++fof(axN4_34_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n4,n4,n7) )).++fof(axN4_34_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n4,n4,n8) )).++fof(axN4_34_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n4,n4,n9) )).++fof(axN4_35_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n5,n1) )).++fof(axN4_35_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n5,n2) )).++fof(axN4_35_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n5,n3) )).++fof(axN4_35_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n4,n5,n4) )).++fof(axN4_35_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n4,n5,n5) )).++fof(axN4_35_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n4,n5,n6) )).++fof(axN4_35_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n4,n5,n7) )).++fof(axN4_35_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n4,n5,n8) )).++fof(axN4_35_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n4,n5,n9) )).++fof(axN4_36_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n6,n1) )).++fof(axN4_36_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n6,n2) )).++fof(axN4_36_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n6,n3) )).++fof(axN4_36_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n4,n6,n4) )).++fof(axN4_36_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n4,n6,n5) )).++fof(axN4_36_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n4,n6,n6) )).++fof(axN4_36_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n4,n6,n7) )).++fof(axN4_36_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n4,n6,n8) )).++fof(axN4_36_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n4,n6,n9) )).++fof(axN4_37_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n7,n1) )).++fof(axN4_37_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n7,n2) )).++fof(axN43_47_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n7,n3) )).++fof(axN4_37_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n4,n7,n4) )).++fof(axN4_37_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n4,n7,n5) )).++fof(axN4_37_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n4,n7,n6) )).++fof(axN4_37_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n4,n7,n7) )).++fof(axN4_37_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n4,n7,n8) )).++fof(axN4_37_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n4,n7,n9) )).++fof(axN4_38_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n8,n1) )).++fof(axN4_38_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n8,n2) )).++fof(axN4_38_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n8,n3) )).++fof(axN4_38_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n4,n8,n4) )).++fof(axN4_38_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n4,n8,n5) )).++fof(axN4_38_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n4,n8,n6) )).++fof(axN4_38_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n4,n8,n7) )).++fof(axN4_38_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n4,n8,n8) )).++fof(axN4_38_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n4,n8,n9) )).++fof(axN4_39_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n9,n1) )).++fof(axN4_39_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n9,n2) )).++fof(axN4_39_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n9,n3) )).++fof(axN4_39_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n4,n9,n4) )).++fof(axN4_39_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n4,n9,n5) )).++fof(axN4_39_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n4,n9,n6) )).++fof(axN4_39_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n4,n9,n7) )).++fof(axN4_39_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n4,n9,n8) )).++fof(axN4_39_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n4,n9,n9) )).++fof(axN4_45_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n5,n1) )).++fof(axN4_45_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n5,n2) )).++fof(axN4_45_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n4,n5,n3) )).++fof(axN4_45_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n4,n5,n4) )).++fof(axN4_45_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n4,n5,n5) )).++fof(axN4_45_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n4,n5,n6) )).++fof(axN4_45_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n4,n5,n7) )).++fof(axN44_45_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n4,n5,n8) )).++fof(axN4_45_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n4,n5,n9) )).++fof(axN4_46_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n6,n1) )).++fof(axN4_46_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n6,n2) )).++fof(axN4_46_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n4,n6,n3) )).++fof(axN4_46_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n4,n6,n4) )).++fof(axN4_46_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n4,n6,n5) )).++fof(axN4_46_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n4,n6,n6) )).++fof(axN4_46_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n4,n6,n7) )).++fof(axN4_46_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n4,n6,n8) )).++fof(axN4_46_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n4,n6,n9) )).++fof(axN4_47_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n7,n1) )).++fof(axN4_47_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n7,n2) )).++fof(axN4_47_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n4,n7,n3) )).++fof(axN4_47_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n4,n7,n4) )).++fof(axN4_47_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n4,n7,n5) )).++fof(axN4_47_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n4,n7,n6) )).++fof(axN4_47_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n4,n7,n7) )).++fof(axN4_47_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n4,n7,n8) )).++fof(axN4_47_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n4,n7,n9) )).++fof(axN4_48_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n8,n1) )).++fof(axN4_48_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n8,n2) )).++fof(axN4_48_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n4,n8,n3) )).++fof(axN4_48_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n4,n8,n4) )).++fof(axN4_48_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n4,n8,n5) )).++fof(axN4_48_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n4,n8,n6) )).++fof(axN4_48_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n4,n8,n7) )).++fof(axN4_48_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n4,n8,n8) )).++fof(axN4_48_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n4,n8,n9) )).++fof(axN4_49_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n9,n1) )).++fof(axN4_49_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n9,n2) )).++fof(axN44_49_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n4,n9,n3) )).++fof(axN4_49_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n4,n9,n4) )).++fof(axN4_49_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n4,n9,n5) )).++fof(axN4_49_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n4,n9,n6) )).++fof(axN4_49_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n4,n9,n7) )).++fof(axN4_49_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n4,n9,n8) )).++fof(axN4_49_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n4,n9,n9) )).++fof(axN4_56_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n6,n1) )).++fof(axN4_56_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n4,n6,n2) )).++fof(axN4_56_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n4,n6,n3) )).++fof(axN4_56_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n4,n6,n4) )).++fof(axN4_56_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n4,n6,n5) )).++fof(axN4_56_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n4,n6,n6) )).++fof(axN4_56_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n4,n6,n7) )).++fof(axN4_56_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n4,n6,n8) )).++fof(axN4_56_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n4,n6,n9) )).++fof(axN4_57_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n7,n1) )).++fof(axN4_57_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n4,n7,n2) )).++fof(axN4_57_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n4,n7,n3) )).++fof(axN4_57_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n4,n7,n4) )).++fof(axN4_57_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n4,n7,n5) )).++fof(axN4_57_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n4,n7,n6) )).++fof(axN4_57_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n4,n7,n7) )).++fof(axN4_57_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n4,n7,n8) )).++fof(axN4_57_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n4,n7,n9) )).++fof(axN4_58_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n8,n1) )).++fof(axN4_58_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n4,n8,n2) )).++fof(axN4_58_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n4,n8,n3) )).++fof(axN4_58_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n4,n8,n4) )).++fof(axN4_58_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n4,n8,n5) )).++fof(axN4_58_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n4,n8,n6) )).++fof(axN4_58_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n4,n8,n7) )).++fof(axN4_58_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n4,n8,n8) )).++fof(axN45_48_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n4,n8,n9) )).++fof(axN4_59_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n9,n1) )).++fof(axN4_59_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n4,n9,n2) )).++fof(axN4_59_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n4,n9,n3) )).++fof(axN4_59_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n4,n9,n4) )).++fof(axN4_59_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n4,n9,n5) )).++fof(axN4_59_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n4,n9,n6) )).++fof(axN4_59_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n4,n9,n7) )).++fof(axN4_59_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n4,n9,n8) )).++fof(axN4_59_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n4,n9,n9) )).++fof(axN4_67_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n4,n7,n1) )).++fof(axN4_67_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n4,n7,n2) )).++fof(axN4_67_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n4,n7,n3) )).++fof(axN4_67_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n4,n7,n4) )).++fof(axN4_67_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n4,n7,n5) )).++fof(axN4_67_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n4,n7,n6) )).++fof(axN4_67_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n4,n7,n7) )).++fof(axN4_67_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n4,n7,n8) )).++fof(axN4_67_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n4,n7,n9) )).++fof(axN4_68_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n4,n8,n1) )).++fof(axN4_68_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n4,n8,n2) )).++fof(axN4_68_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n4,n8,n3) )).++fof(axN4_68_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n4,n8,n4) )).++fof(axN4_68_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n4,n8,n5) )).++fof(axN4_68_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n4,n8,n6) )).++fof(axN4_68_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n4,n8,n7) )).++fof(axN4_68_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n4,n8,n8) )).++fof(axN4_68_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n4,n8,n9) )).++fof(axN4_69_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n4,n9,n1) )).++fof(axN4_69_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n4,n9,n2) )).++fof(axN4_69_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n4,n9,n3) )).++fof(axN4_69_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n4,n9,n4) )).++fof(axN4_69_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n4,n9,n5) )).++fof(axN4_69_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n4,n9,n6) )).++fof(axN46_49_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n4,n9,n7) )).++fof(axN4_69_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n4,n9,n8) )).++fof(axN4_69_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n4,n9,n9) )).++fof(axN4_78_1,axiom,+ ( p(n4,n7,n1)+ => ~ p(n4,n8,n1) )).++fof(axN4_78_2,axiom,+ ( p(n4,n7,n2)+ => ~ p(n4,n8,n2) )).++fof(axN4_78_3,axiom,+ ( p(n4,n7,n3)+ => ~ p(n4,n8,n3) )).++fof(axN4_78_4,axiom,+ ( p(n4,n7,n4)+ => ~ p(n4,n8,n4) )).++fof(axN4_78_5,axiom,+ ( p(n4,n7,n5)+ => ~ p(n4,n8,n5) )).++fof(axN4_78_6,axiom,+ ( p(n4,n7,n6)+ => ~ p(n4,n8,n6) )).++fof(axN4_78_7,axiom,+ ( p(n4,n7,n7)+ => ~ p(n4,n8,n7) )).++fof(axN4_78_8,axiom,+ ( p(n4,n7,n8)+ => ~ p(n4,n8,n8) )).++fof(axN4_78_9,axiom,+ ( p(n4,n7,n9)+ => ~ p(n4,n8,n9) )).++fof(axN4_79_1,axiom,+ ( p(n4,n7,n1)+ => ~ p(n4,n9,n1) )).++fof(axN4_79_2,axiom,+ ( p(n4,n7,n2)+ => ~ p(n4,n9,n2) )).++fof(axN4_79_3,axiom,+ ( p(n4,n7,n3)+ => ~ p(n4,n9,n3) )).++fof(axN4_79_4,axiom,+ ( p(n4,n7,n4)+ => ~ p(n4,n9,n4) )).++fof(axN4_79_5,axiom,+ ( p(n4,n7,n5)+ => ~ p(n4,n9,n5) )).++fof(axN4_79_6,axiom,+ ( p(n4,n7,n6)+ => ~ p(n4,n9,n6) )).++fof(axN4_79_7,axiom,+ ( p(n4,n7,n7)+ => ~ p(n4,n9,n7) )).++fof(axN4_79_8,axiom,+ ( p(n4,n7,n8)+ => ~ p(n4,n9,n8) )).++fof(axN4_79_9,axiom,+ ( p(n4,n7,n9)+ => ~ p(n4,n9,n9) )).++fof(axN4_89_1,axiom,+ ( p(n4,n8,n1)+ => ~ p(n4,n9,n1) )).++fof(axN4_89_2,axiom,+ ( p(n4,n8,n2)+ => ~ p(n4,n9,n2) )).++fof(axN4_89_3,axiom,+ ( p(n4,n8,n3)+ => ~ p(n4,n9,n3) )).++fof(axN4_89_4,axiom,+ ( p(n4,n8,n4)+ => ~ p(n4,n9,n4) )).++fof(axN4_89_5,axiom,+ ( p(n4,n8,n5)+ => ~ p(n4,n9,n5) )).++fof(axN4_89_6,axiom,+ ( p(n4,n8,n6)+ => ~ p(n4,n9,n6) )).++fof(axN4_89_7,axiom,+ ( p(n4,n8,n7)+ => ~ p(n4,n9,n7) )).++fof(axN4_89_8,axiom,+ ( p(n4,n8,n8)+ => ~ p(n4,n9,n8) )).++fof(axN4_89_9,axiom,+ ( p(n4,n8,n9)+ => ~ p(n4,n9,n9) )).++fof(axN5_12_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n2,n1) )).++fof(axN5_12_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n2,n2) )).++fof(axN5_12_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n2,n3) )).++fof(axN51_52_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n2,n4) )).++fof(axN5_12_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n2,n5) )).++fof(axN5_12_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n5,n2,n6) )).++fof(axN5_12_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n5,n2,n7) )).++fof(axN5_12_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n5,n2,n8) )).++fof(axN5_12_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n5,n2,n9) )).++fof(axN5_13_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n3,n1) )).++fof(axN5_13_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n3,n2) )).++fof(axN5_13_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n3,n3) )).++fof(axN5_13_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n3,n4) )).++fof(axN5_13_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n3,n5) )).++fof(axN5_13_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n5,n3,n6) )).++fof(axN5_13_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n5,n3,n7) )).++fof(axN5_13_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n5,n3,n8) )).++fof(axN5_13_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n5,n3,n9) )).++fof(axN5_14_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n4,n1) )).++fof(axN5_14_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n4,n2) )).++fof(axN5_14_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n4,n3) )).++fof(axN5_14_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n4,n4) )).++fof(axN5_14_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n4,n5) )).++fof(axN5_14_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n5,n4,n6) )).++fof(axN5_14_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n5,n4,n7) )).++fof(axN5_14_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n5,n4,n8) )).++fof(axN5_14_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n5,n4,n9) )).++fof(axN5_15_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n5,n1) )).++fof(axN5_15_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n5,n2) )).++fof(axN5_15_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n5,n3) )).++fof(axN5_15_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n5,n4) )).++fof(axN5_15_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n5,n5) )).++fof(axN5_15_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n5,n5,n6) )).++fof(axN5_15_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n5,n5,n7) )).++fof(axN51_55_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n5,n5,n8) )).++fof(axN5_15_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n5,n5,n9) )).++fof(axN5_16_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n6,n1) )).++fof(axN5_16_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n6,n2) )).++fof(axN5_16_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n6,n3) )).++fof(axN5_16_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n6,n4) )).++fof(axN5_16_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n6,n5) )).++fof(axN5_16_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n5,n6,n6) )).++fof(axN5_16_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n5,n6,n7) )).++fof(axN5_16_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n5,n6,n8) )).++fof(axN5_16_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n5,n6,n9) )).++fof(axN5_17_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n7,n1) )).++fof(axN5_17_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n7,n2) )).++fof(axN5_17_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n7,n3) )).++fof(axN5_17_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n7,n4) )).++fof(axN5_17_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n7,n5) )).++fof(axN5_17_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n5,n7,n6) )).++fof(axN5_17_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n5,n7,n7) )).++fof(axN5_17_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n5,n7,n8) )).++fof(axN5_17_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n5,n7,n9) )).++fof(axN5_18_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n8,n1) )).++fof(axN5_18_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n8,n2) )).++fof(axN5_18_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n8,n3) )).++fof(axN5_18_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n8,n4) )).++fof(axN5_18_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n8,n5) )).++fof(axN5_18_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n5,n8,n6) )).++fof(axN5_18_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n5,n8,n7) )).++fof(axN5_18_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n5,n8,n8) )).++fof(axN5_18_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n5,n8,n9) )).++fof(axN5_19_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n9,n1) )).++fof(axN51_59_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n9,n2) )).++fof(axN5_19_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n9,n3) )).++fof(axN5_19_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n9,n4) )).++fof(axN5_19_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n9,n5) )).++fof(axN5_19_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n5,n9,n6) )).++fof(axN5_19_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n5,n9,n7) )).++fof(axN5_198,axiom,+ ( p(n5,n1,n8)+ => ~ p(n5,n9,n8) )).++fof(axN5_19_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n5,n9,n9) )).++fof(axN5_23_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n3,n1) )).++fof(axN5_23_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n3,n2) )).++fof(axN5_23_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n3,n3) )).++fof(axN5_23_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n3,n4) )).++fof(axN5_23_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n5,n3,n5) )).++fof(axN5_23_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n5,n3,n6) )).++fof(axN5_23_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n5,n3,n7) )).++fof(axN5_23_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n5,n3,n8) )).++fof(axN5_23_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n5,n3,n9) )).++fof(axN5_24_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n4,n1) )).++fof(axN5_24_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n4,n2) )).++fof(axN5_24_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n4,n3) )).++fof(axN5_24_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n4,n4) )).++fof(axN5_24_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n5,n4,n5) )).++fof(axN5_24_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n5,n4,n6) )).++fof(axN5_24_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n5,n4,n7) )).++fof(axN5_24_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n5,n4,n8) )).++fof(axN5_24_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n5,n4,n9) )).++fof(axN5_25_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n5,n1) )).++fof(axN5_25_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n5,n2) )).++fof(axN5_25_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n5,n3) )).++fof(axN5_25_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n5,n4) )).++fof(axN5_25_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n5,n5,n5) )).++fof(axN52_55_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n5,n5,n6) )).++fof(axN5_25_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n5,n5,n7) )).++fof(axN5_25_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n5,n5,n8) )).++fof(axN5_25_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n5,n5,n9) )).++fof(axN5_26_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n6,n1) )).++fof(axN5_26_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n6,n2) )).++fof(axN5_26_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n6,n3) )).++fof(axN5_26_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n6,n4) )).++fof(axN5_26_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n5,n6,n5) )).++fof(axN5_26_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n5,n6,n6) )).++fof(axN5_26_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n5,n6,n7) )).++fof(axN5_26_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n5,n6,n8) )).++fof(axN5_26_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n5,n6,n9) )).++fof(axN5_27_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n7,n1) )).++fof(axN5_27_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n7,n2) )).++fof(axN5_27_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n7,n3) )).++fof(axN5_27_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n7,n4) )).++fof(axN5_27_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n5,n7,n5) )).++fof(axN5_27_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n5,n7,n6) )).++fof(axN5_27_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n5,n7,n7) )).++fof(axN5_27_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n5,n7,n8) )).++fof(axN5_27_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n5,n7,n9) )).++fof(axN5_28_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n8,n1) )).++fof(axN5_28_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n8,n2) )).++fof(axN5_28_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n8,n3) )).++fof(axN5_28_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n8,n4) )).++fof(axN5_28_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n5,n8,n5) )).++fof(axN5_28_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n5,n8,n6) )).++fof(axN5_28_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n5,n8,n7) )).++fof(axN5_28_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n5,n8,n8) )).++fof(axN5_28_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n5,n8,n9) )).++fof(axN5_29_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n9,n1) )).++fof(axN5_29_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n9,n2) )).++fof(axN5_29_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n9,n3) )).++fof(axN5_29_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n9,n4) )).++fof(axN5_29_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n5,n9,n5) )).++fof(axN5_29_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n5,n9,n6) )).++fof(axN5_29_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n5,n9,n7) )).++fof(axN5_29_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n5,n9,n8) )).++fof(axN5_29_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n5,n9,n9) )).++fof(axN5_34_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n4,n1) )).++fof(axN5_34_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n4,n2) )).++fof(axN5_34_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n4,n3) )).++fof(axN5_34_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n5,n4,n4) )).++fof(axN5_34_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n5,n4,n5) )).++fof(axN5_34_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n5,n4,n6) )).++fof(axN5_34_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n5,n4,n7) )).++fof(axN5_34_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n5,n4,n8) )).++fof(axN5_34_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n5,n4,n9) )).++fof(axN5_35_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n5,n1) )).++fof(axN5_35_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n5,n2) )).++fof(axN5_35_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n5,n3) )).++fof(axN5_35_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n5,n5,n4) )).++fof(axN5_35_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n5,n5,n5) )).++fof(axN5_35_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n5,n5,n6) )).++fof(axN5_35_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n5,n5,n7) )).++fof(axN5_35_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n5,n5,n8) )).++fof(axN53_55_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n5,n5,n9) )).++fof(axN5_36_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n6,n1) )).++fof(axN5_36_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n6,n2) )).++fof(axN5_36_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n6,n3) )).++fof(axN5_36_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n5,n6,n4) )).++fof(axN5_36_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n5,n6,n5) )).++fof(axN5_36_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n5,n6,n6) )).++fof(axN5_36_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n5,n6,n7) )).++fof(axN5_36_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n5,n6,n8) )).++fof(axN5_36_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n5,n6,n9) )).++fof(axN5_37_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n7,n1) )).++fof(axN5_37_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n7,n2) )).++fof(axN5_37_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n7,n3) )).++fof(axN5_37_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n5,n7,n4) )).++fof(axN5_37_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n5,n7,n5) )).++fof(axN5_37_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n5,n7,n6) )).++fof(axN5_37_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n5,n7,n7) )).++fof(axN5_37_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n5,n7,n8) )).++fof(axN5_37_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n5,n7,n9) )).++fof(axN5_38_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n8,n1) )).++fof(axN5_38_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n8,n2) )).++fof(axN5_38_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n8,n3) )).++fof(axN5_38_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n5,n8,n4) )).++fof(axN5_38_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n5,n8,n5) )).++fof(axN5_38_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n5,n8,n6) )).++fof(axN5_38_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n5,n8,n7) )).++fof(axN5_38_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n5,n8,n8) )).++fof(axN5_38_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n5,n8,n9) )).++fof(axN5_39_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n9,n1) )).++fof(axN5_39_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n9,n2) )).++fof(axN5_39_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n9,n3) )).++fof(axN5_39_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n5,n9,n4) )).++fof(axN5_39_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n5,n9,n5) )).++fof(axN5_39_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n5,n9,n6) )).++fof(axN5_39_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n5,n9,n7) )).++fof(axN5_39_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n5,n9,n8) )).++fof(axN5_39_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n5,n9,n9) )).++fof(axN5_45_1,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n5,n1) )).++fof(axN5_45_2,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n5,n2) )).++fof(axN5_45_3,axiom,+ ( p(n5,n4,n3)+ => ~ p(n5,n5,n3) )).++fof(axN5_45_4,axiom,+ ( p(n5,n4,n4)+ => ~ p(n5,n5,n4) )).++fof(axN5_45_5,axiom,+ ( p(n5,n4,n5)+ => ~ p(n5,n5,n5) )).++fof(axN5_45_6,axiom,+ ( p(n5,n4,n6)+ => ~ p(n5,n5,n6) )).++fof(axN5_45_7,axiom,+ ( p(n5,n4,n7)+ => ~ p(n5,n5,n7) )).++fof(axN5_45_8,axiom,+ ( p(n5,n4,n8)+ => ~ p(n5,n5,n8) )).++fof(axN5_45_9,axiom,+ ( p(n5,n4,n9)+ => ~ p(n5,n5,n9) )).++fof(axN5_46_1,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n6,n1) )).++fof(axN5_46_2,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n6,n2) )).++fof(axN5_46_3,axiom,+ ( p(n5,n4,n3)+ => ~ p(n5,n6,n3) )).++fof(axN5_46_4,axiom,+ ( p(n5,n4,n4)+ => ~ p(n5,n6,n4) )).++fof(axN5_46_5,axiom,+ ( p(n5,n4,n5)+ => ~ p(n5,n6,n5) )).++fof(axN5_46_6,axiom,+ ( p(n5,n4,n6)+ => ~ p(n5,n6,n6) )).++fof(axN5_46_7,axiom,+ ( p(n5,n4,n7)+ => ~ p(n5,n6,n7) )).++fof(axN5_46_8,axiom,+ ( p(n5,n4,n8)+ => ~ p(n5,n6,n8) )).++fof(axN5_46_9,axiom,+ ( p(n5,n4,n9)+ => ~ p(n5,n6,n9) )).++fof(axN5_47_1,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n7,n1) )).++fof(axN5_47_2,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n7,n2) )).++fof(axN5_47_3,axiom,+ ( p(n5,n4,n3)+ => ~ p(n5,n7,n3) )).++fof(axN54_57_4,axiom,+ ( p(n5,n4,n4)+ => ~ p(n5,n7,n4) )).++fof(axN5_47_5,axiom,+ ( p(n5,n4,n5)+ => ~ p(n5,n7,n5) )).++fof(axN5_47_6,axiom,+ ( p(n5,n4,n6)+ => ~ p(n5,n7,n6) )).++fof(axN5_47_7,axiom,+ ( p(n5,n4,n7)+ => ~ p(n5,n7,n7) )).++fof(axN5_47_8,axiom,+ ( p(n5,n4,n8)+ => ~ p(n5,n7,n8) )).++fof(axN5_47_9,axiom,+ ( p(n5,n4,n9)+ => ~ p(n5,n7,n9) )).++fof(axN5_48_1,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n8,n1) )).++fof(axN5_48_2,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n8,n2) )).++fof(axN5_48_3,axiom,+ ( p(n5,n4,n3)+ => ~ p(n5,n8,n3) )).++fof(axN5_48_4,axiom,+ ( p(n5,n4,n4)+ => ~ p(n5,n8,n4) )).++fof(axN5_48_5,axiom,+ ( p(n5,n4,n5)+ => ~ p(n5,n8,n5) )).++fof(axN5_48_6,axiom,+ ( p(n5,n4,n6)+ => ~ p(n5,n8,n6) )).++fof(axN5_48_7,axiom,+ ( p(n5,n4,n7)+ => ~ p(n5,n8,n7) )).++fof(axN5_48_8,axiom,+ ( p(n5,n4,n8)+ => ~ p(n5,n8,n8) )).++fof(axN5_48_9,axiom,+ ( p(n5,n4,n9)+ => ~ p(n5,n8,n9) )).++fof(axN5_49_1,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n9,n1) )).++fof(axN5_49_2,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n9,n2) )).++fof(axN5_49_3,axiom,+ ( p(n5,n4,n3)+ => ~ p(n5,n9,n3) )).++fof(axN5_49_4,axiom,+ ( p(n5,n4,n4)+ => ~ p(n5,n9,n4) )).++fof(axN5_49_5,axiom,+ ( p(n5,n4,n5)+ => ~ p(n5,n9,n5) )).++fof(axN5_49_6,axiom,+ ( p(n5,n4,n6)+ => ~ p(n5,n9,n6) )).++fof(axN5_49_7,axiom,+ ( p(n5,n4,n7)+ => ~ p(n5,n9,n7) )).++fof(axN5_49_8,axiom,+ ( p(n5,n4,n8)+ => ~ p(n5,n9,n8) )).++fof(axN5_49_9,axiom,+ ( p(n5,n4,n9)+ => ~ p(n5,n9,n9) )).++fof(axN5_56_1,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n6,n1) )).++fof(axN5_56_2,axiom,+ ( p(n5,n5,n2)+ => ~ p(n5,n6,n2) )).++fof(axN5_56_3,axiom,+ ( p(n5,n5,n3)+ => ~ p(n5,n6,n3) )).++fof(axN5_56_4,axiom,+ ( p(n5,n5,n4)+ => ~ p(n5,n6,n4) )).++fof(axN5_56_5,axiom,+ ( p(n5,n5,n5)+ => ~ p(n5,n6,n5) )).++fof(axN5_56_6,axiom,+ ( p(n5,n5,n6)+ => ~ p(n5,n6,n6) )).++fof(axN5_56_7,axiom,+ ( p(n5,n5,n7)+ => ~ p(n5,n6,n7) )).++fof(axN5_56_8,axiom,+ ( p(n5,n5,n8)+ => ~ p(n5,n6,n8) )).++fof(axN5_56_9,axiom,+ ( p(n5,n5,n9)+ => ~ p(n5,n6,n9) )).++fof(axN5_57_1,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n7,n1) )).++fof(axN5_57_2,axiom,+ ( p(n5,n5,n2)+ => ~ p(n5,n7,n2) )).++fof(axN5_57_3,axiom,+ ( p(n5,n5,n3)+ => ~ p(n5,n7,n3) )).++fof(axN5_57_4,axiom,+ ( p(n5,n5,n4)+ => ~ p(n5,n7,n4) )).++fof(axN5_57_5,axiom,+ ( p(n5,n5,n5)+ => ~ p(n5,n7,n5) )).++fof(axN5_57_6,axiom,+ ( p(n5,n5,n6)+ => ~ p(n5,n7,n6) )).++fof(axN5_57_7,axiom,+ ( p(n5,n5,n7)+ => ~ p(n5,n7,n7) )).++fof(axN5_57_8,axiom,+ ( p(n5,n5,n8)+ => ~ p(n5,n7,n8) )).++fof(axN5_57_9,axiom,+ ( p(n5,n5,n9)+ => ~ p(n5,n7,n9) )).++fof(axN5_58_1,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n8,n1) )).++fof(axN5_58_2,axiom,+ ( p(n5,n5,n2)+ => ~ p(n5,n8,n2) )).++fof(axN5_58_3,axiom,+ ( p(n5,n5,n3)+ => ~ p(n5,n8,n3) )).++fof(axN5_58_4,axiom,+ ( p(n5,n5,n4)+ => ~ p(n5,n8,n4) )).++fof(axN5_58_5,axiom,+ ( p(n5,n5,n5)+ => ~ p(n5,n8,n5) )).++fof(axN5_58_6,axiom,+ ( p(n5,n5,n6)+ => ~ p(n5,n8,n6) )).++fof(axN5_58_7,axiom,+ ( p(n5,n5,n7)+ => ~ p(n5,n8,n7) )).++fof(axN5_58_8,axiom,+ ( p(n5,n5,n8)+ => ~ p(n5,n8,n8) )).++fof(axN5_58_9,axiom,+ ( p(n5,n5,n9)+ => ~ p(n5,n8,n9) )).++fof(axN5_59_1,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n9,n1) )).++fof(axN5_59_2,axiom,+ ( p(n5,n5,n2)+ => ~ p(n5,n9,n2) )).++fof(axN5_59_3,axiom,+ ( p(n5,n5,n3)+ => ~ p(n5,n9,n3) )).++fof(axN5_59_4,axiom,+ ( p(n5,n5,n4)+ => ~ p(n5,n9,n4) )).++fof(axN5_59_5,axiom,+ ( p(n5,n5,n5)+ => ~ p(n5,n9,n5) )).++fof(axN5_59_6,axiom,+ ( p(n5,n5,n6)+ => ~ p(n5,n9,n6) )).++fof(axN5_59_7,axiom,+ ( p(n5,n5,n7)+ => ~ p(n5,n9,n7) )).++fof(axN5_59_8,axiom,+ ( p(n5,n5,n8)+ => ~ p(n5,n9,n8) )).++fof(axN5_59_9,axiom,+ ( p(n5,n5,n9)+ => ~ p(n5,n9,n9) )).++fof(axN5_67_1,axiom,+ ( p(n5,n6,n1)+ => ~ p(n5,n7,n1) )).++fof(axN5_67_2,axiom,+ ( p(n5,n6,n2)+ => ~ p(n5,n7,n2) )).++fof(axN5_67_3,axiom,+ ( p(n5,n6,n3)+ => ~ p(n5,n7,n3) )).++fof(axN5_67_4,axiom,+ ( p(n5,n6,n4)+ => ~ p(n5,n7,n4) )).++fof(axN5_67_5,axiom,+ ( p(n5,n6,n5)+ => ~ p(n5,n7,n5) )).++fof(axN5_67_6,axiom,+ ( p(n5,n6,n6)+ => ~ p(n5,n7,n6) )).++fof(axN5_67_7,axiom,+ ( p(n5,n6,n7)+ => ~ p(n5,n7,n7) )).++fof(axN5_67_8,axiom,+ ( p(n5,n6,n8)+ => ~ p(n5,n7,n8) )).++fof(axN5_67_9,axiom,+ ( p(n5,n6,n9)+ => ~ p(n5,n7,n9) )).++fof(axN5_68_1,axiom,+ ( p(n5,n6,n1)+ => ~ p(n5,n8,n1) )).++fof(axN5_68_2,axiom,+ ( p(n5,n6,n2)+ => ~ p(n5,n8,n2) )).++fof(axN5_68_3,axiom,+ ( p(n5,n6,n3)+ => ~ p(n5,n8,n3) )).++fof(axN5_68_4,axiom,+ ( p(n5,n6,n4)+ => ~ p(n5,n8,n4) )).++fof(axN5_68_5,axiom,+ ( p(n5,n6,n5)+ => ~ p(n5,n8,n5) )).++fof(axN5_68_6,axiom,+ ( p(n5,n6,n6)+ => ~ p(n5,n8,n6) )).++fof(axN5_68_7,axiom,+ ( p(n5,n6,n7)+ => ~ p(n5,n8,n7) )).++fof(axN5_68_8,axiom,+ ( p(n5,n6,n8)+ => ~ p(n5,n8,n8) )).++fof(axN5_68_9,axiom,+ ( p(n5,n6,n9)+ => ~ p(n5,n8,n9) )).++fof(axN5_69_1,axiom,+ ( p(n5,n6,n1)+ => ~ p(n5,n9,n1) )).++fof(axN5_69_2,axiom,+ ( p(n5,n6,n2)+ => ~ p(n5,n9,n2) )).++fof(axN5_69_3,axiom,+ ( p(n5,n6,n3)+ => ~ p(n5,n9,n3) )).++fof(axN5_69_4,axiom,+ ( p(n5,n6,n4)+ => ~ p(n5,n9,n4) )).++fof(axN5_69_5,axiom,+ ( p(n5,n6,n5)+ => ~ p(n5,n9,n5) )).++fof(axN5_69_6,axiom,+ ( p(n5,n6,n6)+ => ~ p(n5,n9,n6) )).++fof(axN5_69_7,axiom,+ ( p(n5,n6,n7)+ => ~ p(n5,n9,n7) )).++fof(axN5_69_8,axiom,+ ( p(n5,n6,n8)+ => ~ p(n5,n9,n8) )).++fof(axN5_69_9,axiom,+ ( p(n5,n6,n9)+ => ~ p(n5,n9,n9) )).++fof(axN5_78_1,axiom,+ ( p(n5,n7,n1)+ => ~ p(n5,n8,n1) )).++fof(axN5_78_2,axiom,+ ( p(n5,n7,n2)+ => ~ p(n5,n8,n2) )).++fof(axN5_78_3,axiom,+ ( p(n5,n7,n3)+ => ~ p(n5,n8,n3) )).++fof(axN5_78_4,axiom,+ ( p(n5,n7,n4)+ => ~ p(n5,n8,n4) )).++fof(axN5_78_5,axiom,+ ( p(n5,n7,n5)+ => ~ p(n5,n8,n5) )).++fof(axN5_78_6,axiom,+ ( p(n5,n7,n6)+ => ~ p(n5,n8,n6) )).++fof(axN5_78_7,axiom,+ ( p(n5,n7,n7)+ => ~ p(n5,n8,n7) )).++fof(axN5_78_8,axiom,+ ( p(n5,n7,n8)+ => ~ p(n5,n8,n8) )).++fof(axN5_78_9,axiom,+ ( p(n5,n7,n9)+ => ~ p(n5,n8,n9) )).++fof(axN5_79_1,axiom,+ ( p(n5,n7,n1)+ => ~ p(n5,n9,n1) )).++fof(axN5_79_2,axiom,+ ( p(n5,n7,n2)+ => ~ p(n5,n9,n2) )).++fof(axN5_79_3,axiom,+ ( p(n5,n7,n3)+ => ~ p(n5,n9,n3) )).++fof(axN5_79_4,axiom,+ ( p(n5,n7,n4)+ => ~ p(n5,n9,n4) )).++fof(axN5_79_5,axiom,+ ( p(n5,n7,n5)+ => ~ p(n5,n9,n5) )).++fof(axN5_79_6,axiom,+ ( p(n5,n7,n6)+ => ~ p(n5,n9,n6) )).++fof(axN5_79_7,axiom,+ ( p(n5,n7,n7)+ => ~ p(n5,n9,n7) )).++fof(axN5_79_8,axiom,+ ( p(n5,n7,n8)+ => ~ p(n5,n9,n8) )).++fof(axN5_79_9,axiom,+ ( p(n5,n7,n9)+ => ~ p(n5,n9,n9) )).++fof(axN5_89_1,axiom,+ ( p(n5,n8,n1)+ => ~ p(n5,n9,n1) )).++fof(axN5_89_2,axiom,+ ( p(n5,n8,n2)+ => ~ p(n5,n9,n2) )).++fof(axN5_89_3,axiom,+ ( p(n5,n8,n3)+ => ~ p(n5,n9,n3) )).++fof(axN5_89_4,axiom,+ ( p(n5,n8,n4)+ => ~ p(n5,n9,n4) )).++fof(axN5_89_5,axiom,+ ( p(n5,n8,n5)+ => ~ p(n5,n9,n5) )).++fof(axN5_89_6,axiom,+ ( p(n5,n8,n6)+ => ~ p(n5,n9,n6) )).++fof(axN5_89_7,axiom,+ ( p(n5,n8,n7)+ => ~ p(n5,n9,n7) )).++fof(axN5_89_8,axiom,+ ( p(n5,n8,n8)+ => ~ p(n5,n9,n8) )).++fof(axN5_89_9,axiom,+ ( p(n5,n8,n9)+ => ~ p(n5,n9,n9) )).++fof(axN6_12_1,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n2,n1) )).++fof(axN6_12_2,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n2,n2) )).++fof(axN6_12_3,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n2,n3) )).++fof(axN6_12_4,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n2,n4) )).++fof(axN6_12_5,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n2,n5) )).++fof(axN6_12_6,axiom,+ ( p(n6,n1,n6)+ => ~ p(n6,n2,n6) )).++fof(axN6_12_7,axiom,+ ( p(n6,n1,n7)+ => ~ p(n6,n2,n7) )).++fof(axN6_12_8,axiom,+ ( p(n6,n1,n8)+ => ~ p(n6,n2,n8) )).++fof(axN6_12_9,axiom,+ ( p(n6,n1,n9)+ => ~ p(n6,n2,n9) )).++fof(axN6_13_1,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n3,n1) )).++fof(axN6_13_2,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n3,n2) )).++fof(axN6_13_3,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n3,n3) )).++fof(axN6_13_4,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n3,n4) )).++fof(axN6_13_5,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n3,n5) )).++fof(axN6_13_6,axiom,+ ( p(n6,n1,n6)+ => ~ p(n6,n3,n6) )).++fof(axN6_13_7,axiom,+ ( p(n6,n1,n7)+ => ~ p(n6,n3,n7) )).++fof(axN6_13_8,axiom,+ ( p(n6,n1,n8)+ => ~ p(n6,n3,n8) )).++fof(axN6_13_9,axiom,+ ( p(n6,n1,n9)+ => ~ p(n6,n3,n9) )).++fof(axN6_14_1,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n4,n1) )).++fof(axN6_14_2,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n4,n2) )).++fof(axN6_14_3,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n4,n3) )).++fof(axN6_14_4,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n4,n4) )).++fof(axN6_14_5,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n4,n5) )).++fof(axN6_14_6,axiom,+ ( p(n6,n1,n6)+ => ~ p(n6,n4,n6) )).++fof(axN6_14_7,axiom,+ ( p(n6,n1,n7)+ => ~ p(n6,n4,n7) )).++fof(axN6_14_8,axiom,+ ( p(n6,n1,n8)+ => ~ p(n6,n4,n8) )).++fof(axN6_14_9,axiom,+ ( p(n6,n1,n9)+ => ~ p(n6,n4,n9) )).++fof(axN6_15_1,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n5,n1) )).++fof(axN6_15_2,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n5,n2) )).++fof(axN6_15_3,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n5,n3) )).++fof(axN6_15_4,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n5,n4) )).++fof(axN6_15_5,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n5,n5) )).++fof(axN6_15_6,axiom,+ ( p(n6,n1,n6)+ => ~ p(n6,n5,n6) )).++fof(axN6_15_7,axiom,+ ( p(n6,n1,n7)+ => ~ p(n6,n5,n7) )).++fof(axN6_15_8,axiom,+ ( p(n6,n1,n8)+ => ~ p(n6,n5,n8) )).++fof(axN6_15_9,axiom,+ ( p(n6,n1,n9)+ => ~ p(n6,n5,n9) )).++fof(axN6_16_1,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n6,n1) )).++fof(axN6_16_2,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n6,n2) )).++fof(axN6_16_3,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n6,n3) )).++fof(axN6_16_4,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n6,n4) )).++fof(axN6_16_5,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n6,n5) )).++fof(axN6_16_6,axiom,+ ( p(n6,n1,n6)+ => ~ p(n6,n6,n6) )).++fof(axN6_16_7,axiom,+ ( p(n6,n1,n7)+ => ~ p(n6,n6,n7) )).++fof(axN6_16_8,axiom,+ ( p(n6,n1,n8)+ => ~ p(n6,n6,n8) )).++fof(axN6_16_9,axiom,+ ( p(n6,n1,n9)+ => ~ p(n6,n6,n9) )).++fof(axN6_17_1,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n7,n1) )).++fof(axN6_17_2,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n7,n2) )).++fof(axN6_17_3,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n7,n3) )).++fof(axN6_17_4,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n7,n4) )).++fof(axN6_17_5,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n7,n5) )).++fof(axN6_17_6,axiom,+ ( p(n6,n1,n6)+ => ~ p(n6,n7,n6) )).++fof(axN6_17_7,axiom,+ ( p(n6,n1,n7)+ => ~ p(n6,n7,n7) )).++fof(axN6_17_8,axiom,+ ( p(n6,n1,n8)+ => ~ p(n6,n7,n8) )).++fof(axN6_17_9,axiom,+ ( p(n6,n1,n9)+ => ~ p(n6,n7,n9) )).++fof(axN6_18_1,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n8,n1) )).++fof(axN6_18_2,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n8,n2) )).++fof(axN6_18_3,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n8,n3) )).++fof(axN6_18_4,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n8,n4) )).++fof(axN6_18_5,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n8,n5) )).++fof(axN6_18_6,axiom,+ ( p(n6,n1,n6)+ => ~ p(n6,n8,n6) )).++fof(axN6_18_7,axiom,+ ( p(n6,n1,n7)+ => ~ p(n6,n8,n7) )).++fof(axN6_18_8,axiom,+ ( p(n6,n1,n8)+ => ~ p(n6,n8,n8) )).++fof(axN6_18_9,axiom,+ ( p(n6,n1,n9)+ => ~ p(n6,n8,n9) )).++fof(axN6_19_1,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n9,n1) )).++fof(axN6_19_2,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n9,n2) )).++fof(axN6_19_3,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n9,n3) )).++fof(axN6_19_4,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n9,n4) )).++fof(axN6_19_5,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n9,n5) )).++fof(axN6_19_6,axiom,+ ( p(n6,n1,n6)+ => ~ p(n6,n9,n6) )).++fof(axN6_19_7,axiom,+ ( p(n6,n1,n7)+ => ~ p(n6,n9,n7) )).++fof(axN6_198,axiom,+ ( p(n6,n1,n8)+ => ~ p(n6,n9,n8) )).++fof(axN6_19_9,axiom,+ ( p(n6,n1,n9)+ => ~ p(n6,n9,n9) )).++fof(axN6_23_1,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n3,n1) )).++fof(axN6_23_2,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n3,n2) )).++fof(axN6_23_3,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n3,n3) )).++fof(axN6_23_4,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n3,n4) )).++fof(axN6_23_5,axiom,+ ( p(n6,n2,n5)+ => ~ p(n6,n3,n5) )).++fof(axN6_23_6,axiom,+ ( p(n6,n2,n6)+ => ~ p(n6,n3,n6) )).++fof(axN6_23_7,axiom,+ ( p(n6,n2,n7)+ => ~ p(n6,n3,n7) )).++fof(axN6_23_8,axiom,+ ( p(n6,n2,n8)+ => ~ p(n6,n3,n8) )).++fof(axN6_23_9,axiom,+ ( p(n6,n2,n9)+ => ~ p(n6,n3,n9) )).++fof(axN6_24_1,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n4,n1) )).++fof(axN6_24_2,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n4,n2) )).++fof(axN6_24_3,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n4,n3) )).++fof(axN6_24_4,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n4,n4) )).++fof(axN6_24_5,axiom,+ ( p(n6,n2,n5)+ => ~ p(n6,n4,n5) )).++fof(axN6_24_6,axiom,+ ( p(n6,n2,n6)+ => ~ p(n6,n4,n6) )).++fof(axN6_24_7,axiom,+ ( p(n6,n2,n7)+ => ~ p(n6,n4,n7) )).++fof(axN6_24_8,axiom,+ ( p(n6,n2,n8)+ => ~ p(n6,n4,n8) )).++fof(axN6_24_9,axiom,+ ( p(n6,n2,n9)+ => ~ p(n6,n4,n9) )).++fof(axN6_25_1,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n5,n1) )).++fof(axN6_25_2,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n5,n2) )).++fof(axN6_25_3,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n5,n3) )).++fof(axN6_25_4,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n5,n4) )).++fof(axN6_25_5,axiom,+ ( p(n6,n2,n5)+ => ~ p(n6,n5,n5) )).++fof(axN6_25_6,axiom,+ ( p(n6,n2,n6)+ => ~ p(n6,n5,n6) )).++fof(axN6_25_7,axiom,+ ( p(n6,n2,n7)+ => ~ p(n6,n5,n7) )).++fof(axN6_25_8,axiom,+ ( p(n6,n2,n8)+ => ~ p(n6,n5,n8) )).++fof(axN6_25_9,axiom,+ ( p(n6,n2,n9)+ => ~ p(n6,n5,n9) )).++fof(axN6_26_1,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n6,n1) )).++fof(axN6_26_2,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n6,n2) )).++fof(axN6_26_3,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n6,n3) )).++fof(axN6_26_4,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n6,n4) )).++fof(axN6_26_5,axiom,+ ( p(n6,n2,n5)+ => ~ p(n6,n6,n5) )).++fof(axN6_26_6,axiom,+ ( p(n6,n2,n6)+ => ~ p(n6,n6,n6) )).++fof(axN6_26_7,axiom,+ ( p(n6,n2,n7)+ => ~ p(n6,n6,n7) )).++fof(axN6_26_8,axiom,+ ( p(n6,n2,n8)+ => ~ p(n6,n6,n8) )).++fof(axN6_26_9,axiom,+ ( p(n6,n2,n9)+ => ~ p(n6,n6,n9) )).++fof(axN6_27_1,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n7,n1) )).++fof(axN6_27_2,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n7,n2) )).++fof(axN6_27_3,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n7,n3) )).++fof(axN6_27_4,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n7,n4) )).++fof(axN6_27_5,axiom,+ ( p(n6,n2,n5)+ => ~ p(n6,n7,n5) )).++fof(axN6_27_6,axiom,+ ( p(n6,n2,n6)+ => ~ p(n6,n7,n6) )).++fof(axN6_27_7,axiom,+ ( p(n6,n2,n7)+ => ~ p(n6,n7,n7) )).++fof(axN6_27_8,axiom,+ ( p(n6,n2,n8)+ => ~ p(n6,n7,n8) )).++fof(axN6_27_9,axiom,+ ( p(n6,n2,n9)+ => ~ p(n6,n7,n9) )).++fof(axN6_28_1,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n8,n1) )).++fof(axN6_28_2,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n8,n2) )).++fof(axN6_28_3,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n8,n3) )).++fof(axN6_28_4,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n8,n4) )).++fof(axN6_28_5,axiom,+ ( p(n6,n2,n5)+ => ~ p(n6,n8,n5) )).++fof(axN6_28_6,axiom,+ ( p(n6,n2,n6)+ => ~ p(n6,n8,n6) )).++fof(axN6_28_7,axiom,+ ( p(n6,n2,n7)+ => ~ p(n6,n8,n7) )).++fof(axN6_28_8,axiom,+ ( p(n6,n2,n8)+ => ~ p(n6,n8,n8) )).++fof(axN6_28_9,axiom,+ ( p(n6,n2,n9)+ => ~ p(n6,n8,n9) )).++fof(axN6_29_1,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n9,n1) )).++fof(axN6_29_2,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n9,n2) )).++fof(axN6_29_3,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n9,n3) )).++fof(axN6_29_4,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n9,n4) )).++fof(axN6_29_5,axiom,+ ( p(n6,n2,n5)+ => ~ p(n6,n9,n5) )).++fof(axN6_29_6,axiom,+ ( p(n6,n2,n6)+ => ~ p(n6,n9,n6) )).++fof(axN6_29_7,axiom,+ ( p(n6,n2,n7)+ => ~ p(n6,n9,n7) )).++fof(axN6_29_8,axiom,+ ( p(n6,n2,n8)+ => ~ p(n6,n9,n8) )).++fof(axN6_29_9,axiom,+ ( p(n6,n2,n9)+ => ~ p(n6,n9,n9) )).++fof(axN6_34_1,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n4,n1) )).++fof(axN6_34_2,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n4,n2) )).++fof(axN6_34_3,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n4,n3) )).++fof(axN6_34_4,axiom,+ ( p(n6,n3,n4)+ => ~ p(n6,n4,n4) )).++fof(axN6_34_5,axiom,+ ( p(n6,n3,n5)+ => ~ p(n6,n4,n5) )).++fof(axN6_34_6,axiom,+ ( p(n6,n3,n6)+ => ~ p(n6,n4,n6) )).++fof(axN6_34_7,axiom,+ ( p(n6,n3,n7)+ => ~ p(n6,n4,n7) )).++fof(axN6_34_8,axiom,+ ( p(n6,n3,n8)+ => ~ p(n6,n4,n8) )).++fof(axN6_34_9,axiom,+ ( p(n6,n3,n9)+ => ~ p(n6,n4,n9) )).++fof(axN6_35_1,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n5,n1) )).++fof(axN6_35_2,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n5,n2) )).++fof(axN6_35_3,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n5,n3) )).++fof(axN6_35_4,axiom,+ ( p(n6,n3,n4)+ => ~ p(n6,n5,n4) )).++fof(axN6_35_5,axiom,+ ( p(n6,n3,n5)+ => ~ p(n6,n5,n5) )).++fof(axN6_35_6,axiom,+ ( p(n6,n3,n6)+ => ~ p(n6,n5,n6) )).++fof(axN6_35_7,axiom,+ ( p(n6,n3,n7)+ => ~ p(n6,n5,n7) )).++fof(axN6_35_8,axiom,+ ( p(n6,n3,n8)+ => ~ p(n6,n5,n8) )).++fof(axN6_35_9,axiom,+ ( p(n6,n3,n9)+ => ~ p(n6,n5,n9) )).++fof(axN6_36_1,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n6,n1) )).++fof(axN6_36_2,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n6,n2) )).++fof(axN6_36_3,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n6,n3) )).++fof(axN6_36_4,axiom,+ ( p(n6,n3,n4)+ => ~ p(n6,n6,n4) )).++fof(axN6_36_5,axiom,+ ( p(n6,n3,n5)+ => ~ p(n6,n6,n5) )).++fof(axN6_36_6,axiom,+ ( p(n6,n3,n6)+ => ~ p(n6,n6,n6) )).++fof(axN6_36_7,axiom,+ ( p(n6,n3,n7)+ => ~ p(n6,n6,n7) )).++fof(axN6_36_8,axiom,+ ( p(n6,n3,n8)+ => ~ p(n6,n6,n8) )).++fof(axN6_36_9,axiom,+ ( p(n6,n3,n9)+ => ~ p(n6,n6,n9) )).++fof(axN6_37_1,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n7,n1) )).++fof(axN6_37_2,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n7,n2) )).++fof(axN6_37_3,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n7,n3) )).++fof(axN6_37_4,axiom,+ ( p(n6,n3,n4)+ => ~ p(n6,n7,n4) )).++fof(axN6_37_5,axiom,+ ( p(n6,n3,n5)+ => ~ p(n6,n7,n5) )).++fof(axN6_37_6,axiom,+ ( p(n6,n3,n6)+ => ~ p(n6,n7,n6) )).++fof(axN6_37_7,axiom,+ ( p(n6,n3,n7)+ => ~ p(n6,n7,n7) )).++fof(axN6_37_8,axiom,+ ( p(n6,n3,n8)+ => ~ p(n6,n7,n8) )).++fof(axN6_37_9,axiom,+ ( p(n6,n3,n9)+ => ~ p(n6,n7,n9) )).++fof(axN6_38_1,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n8,n1) )).++fof(axN6_38_2,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n8,n2) )).++fof(axN6_38_3,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n8,n3) )).++fof(axN6_38_4,axiom,+ ( p(n6,n3,n4)+ => ~ p(n6,n8,n4) )).++fof(axN6_38_5,axiom,+ ( p(n6,n3,n5)+ => ~ p(n6,n8,n5) )).++fof(axN6_38_6,axiom,+ ( p(n6,n3,n6)+ => ~ p(n6,n8,n6) )).++fof(axN6_38_7,axiom,+ ( p(n6,n3,n7)+ => ~ p(n6,n8,n7) )).++fof(axN6_38_8,axiom,+ ( p(n6,n3,n8)+ => ~ p(n6,n8,n8) )).++fof(axN6_38_9,axiom,+ ( p(n6,n3,n9)+ => ~ p(n6,n8,n9) )).++fof(axN6_39_1,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n9,n1) )).++fof(axN6_39_2,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n9,n2) )).++fof(axN6_39_3,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n9,n3) )).++fof(axN6_39_4,axiom,+ ( p(n6,n3,n4)+ => ~ p(n6,n9,n4) )).++fof(axN6_39_5,axiom,+ ( p(n6,n3,n5)+ => ~ p(n6,n9,n5) )).++fof(axN6_39_6,axiom,+ ( p(n6,n3,n6)+ => ~ p(n6,n9,n6) )).++fof(axN6_39_7,axiom,+ ( p(n6,n3,n7)+ => ~ p(n6,n9,n7) )).++fof(axN6_39_8,axiom,+ ( p(n6,n3,n8)+ => ~ p(n6,n9,n8) )).++fof(axN6_39_9,axiom,+ ( p(n6,n3,n9)+ => ~ p(n6,n9,n9) )).++fof(axN6_45_1,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n5,n1) )).++fof(axN6_45_2,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n5,n2) )).++fof(axN6_45_3,axiom,+ ( p(n6,n4,n3)+ => ~ p(n6,n5,n3) )).++fof(axN6_45_4,axiom,+ ( p(n6,n4,n4)+ => ~ p(n6,n5,n4) )).++fof(axN6_45_5,axiom,+ ( p(n6,n4,n5)+ => ~ p(n6,n5,n5) )).++fof(axN6_45_6,axiom,+ ( p(n6,n4,n6)+ => ~ p(n6,n5,n6) )).++fof(axN6_45_7,axiom,+ ( p(n6,n4,n7)+ => ~ p(n6,n5,n7) )).++fof(axN6_45_8,axiom,+ ( p(n6,n4,n8)+ => ~ p(n6,n5,n8) )).++fof(axN6_45_9,axiom,+ ( p(n6,n4,n9)+ => ~ p(n6,n5,n9) )).++fof(axN6_46_1,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n6,n1) )).++fof(axN6_46_2,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n6,n2) )).++fof(axN6_46_3,axiom,+ ( p(n6,n4,n3)+ => ~ p(n6,n6,n3) )).++fof(axN6_46_4,axiom,+ ( p(n6,n4,n4)+ => ~ p(n6,n6,n4) )).++fof(axN6_46_5,axiom,+ ( p(n6,n4,n5)+ => ~ p(n6,n6,n5) )).++fof(axN6_46_6,axiom,+ ( p(n6,n4,n6)+ => ~ p(n6,n6,n6) )).++fof(axN6_46_7,axiom,+ ( p(n6,n4,n7)+ => ~ p(n6,n6,n7) )).++fof(axN6_46_8,axiom,+ ( p(n6,n4,n8)+ => ~ p(n6,n6,n8) )).++fof(axN6_46_9,axiom,+ ( p(n6,n4,n9)+ => ~ p(n6,n6,n9) )).++fof(axN6_47_1,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n7,n1) )).++fof(axN6_47_2,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n7,n2) )).++fof(axN6_47_3,axiom,+ ( p(n6,n4,n3)+ => ~ p(n6,n7,n3) )).++fof(axN6_47_4,axiom,+ ( p(n6,n4,n4)+ => ~ p(n6,n7,n4) )).++fof(axN6_47_5,axiom,+ ( p(n6,n4,n5)+ => ~ p(n6,n7,n5) )).++fof(axN6_47_6,axiom,+ ( p(n6,n4,n6)+ => ~ p(n6,n7,n6) )).++fof(axN6_47_7,axiom,+ ( p(n6,n4,n7)+ => ~ p(n6,n7,n7) )).++fof(axN6_47_8,axiom,+ ( p(n6,n4,n8)+ => ~ p(n6,n7,n8) )).++fof(axN6_47_9,axiom,+ ( p(n6,n4,n9)+ => ~ p(n6,n7,n9) )).++fof(axN6_48_1,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n8,n1) )).++fof(axN6_48_2,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n8,n2) )).++fof(axN6_48_3,axiom,+ ( p(n6,n4,n3)+ => ~ p(n6,n8,n3) )).++fof(axN6_48_4,axiom,+ ( p(n6,n4,n4)+ => ~ p(n6,n8,n4) )).++fof(axN6_48_5,axiom,+ ( p(n6,n4,n5)+ => ~ p(n6,n8,n5) )).++fof(axN6_48_6,axiom,+ ( p(n6,n4,n6)+ => ~ p(n6,n8,n6) )).++fof(axN6_48_7,axiom,+ ( p(n6,n4,n7)+ => ~ p(n6,n8,n7) )).++fof(axN6_48_8,axiom,+ ( p(n6,n4,n8)+ => ~ p(n6,n8,n8) )).++fof(axN6_48_9,axiom,+ ( p(n6,n4,n9)+ => ~ p(n6,n8,n9) )).++fof(axN6_49_1,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n9,n1) )).++fof(axN6_49_2,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n9,n2) )).++fof(axN6_49_3,axiom,+ ( p(n6,n4,n3)+ => ~ p(n6,n9,n3) )).++fof(axN6_49_4,axiom,+ ( p(n6,n4,n4)+ => ~ p(n6,n9,n4) )).++fof(axN6_49_5,axiom,+ ( p(n6,n4,n5)+ => ~ p(n6,n9,n5) )).++fof(axN6_49_6,axiom,+ ( p(n6,n4,n6)+ => ~ p(n6,n9,n6) )).++fof(axN6_49_7,axiom,+ ( p(n6,n4,n7)+ => ~ p(n6,n9,n7) )).++fof(axN6_49_8,axiom,+ ( p(n6,n4,n8)+ => ~ p(n6,n9,n8) )).++fof(axN6_49_9,axiom,+ ( p(n6,n4,n9)+ => ~ p(n6,n9,n9) )).++fof(axN6_56_1,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n6,n1) )).++fof(axN6_56_2,axiom,+ ( p(n6,n5,n2)+ => ~ p(n6,n6,n2) )).++fof(axN6_56_3,axiom,+ ( p(n6,n5,n3)+ => ~ p(n6,n6,n3) )).++fof(axN6_56_4,axiom,+ ( p(n6,n5,n4)+ => ~ p(n6,n6,n4) )).++fof(axN6_56_5,axiom,+ ( p(n6,n5,n5)+ => ~ p(n6,n6,n5) )).++fof(axN6_56_6,axiom,+ ( p(n6,n5,n6)+ => ~ p(n6,n6,n6) )).++fof(axN6_56_7,axiom,+ ( p(n6,n5,n7)+ => ~ p(n6,n6,n7) )).++fof(axN6_56_8,axiom,+ ( p(n6,n5,n8)+ => ~ p(n6,n6,n8) )).++fof(axN6_56_9,axiom,+ ( p(n6,n5,n9)+ => ~ p(n6,n6,n9) )).++fof(axN6_57_1,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n7,n1) )).++fof(axN6_57_2,axiom,+ ( p(n6,n5,n2)+ => ~ p(n6,n7,n2) )).++fof(axN6_57_3,axiom,+ ( p(n6,n5,n3)+ => ~ p(n6,n7,n3) )).++fof(axN6_57_4,axiom,+ ( p(n6,n5,n4)+ => ~ p(n6,n7,n4) )).++fof(axN6_57_5,axiom,+ ( p(n6,n5,n5)+ => ~ p(n6,n7,n5) )).++fof(axN6_57_6,axiom,+ ( p(n6,n5,n6)+ => ~ p(n6,n7,n6) )).++fof(axN6_57_7,axiom,+ ( p(n6,n5,n7)+ => ~ p(n6,n7,n7) )).++fof(axN6_57_8,axiom,+ ( p(n6,n5,n8)+ => ~ p(n6,n7,n8) )).++fof(axN6_57_9,axiom,+ ( p(n6,n5,n9)+ => ~ p(n6,n7,n9) )).++fof(axN6_58_1,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n8,n1) )).++fof(axN6_58_2,axiom,+ ( p(n6,n5,n2)+ => ~ p(n6,n8,n2) )).++fof(axN6_58_3,axiom,+ ( p(n6,n5,n3)+ => ~ p(n6,n8,n3) )).++fof(axN6_58_4,axiom,+ ( p(n6,n5,n4)+ => ~ p(n6,n8,n4) )).++fof(axN6_58_5,axiom,+ ( p(n6,n5,n5)+ => ~ p(n6,n8,n5) )).++fof(axN6_58_6,axiom,+ ( p(n6,n5,n6)+ => ~ p(n6,n8,n6) )).++fof(axN6_58_7,axiom,+ ( p(n6,n5,n7)+ => ~ p(n6,n8,n7) )).++fof(axN6_58_8,axiom,+ ( p(n6,n5,n8)+ => ~ p(n6,n8,n8) )).++fof(axN6_58_9,axiom,+ ( p(n6,n5,n9)+ => ~ p(n6,n8,n9) )).++fof(axN6_59_1,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n9,n1) )).++fof(axN6_59_2,axiom,+ ( p(n6,n5,n2)+ => ~ p(n6,n9,n2) )).++fof(axN6_59_3,axiom,+ ( p(n6,n5,n3)+ => ~ p(n6,n9,n3) )).++fof(axN6_59_4,axiom,+ ( p(n6,n5,n4)+ => ~ p(n6,n9,n4) )).++fof(axN6_59_5,axiom,+ ( p(n6,n5,n5)+ => ~ p(n6,n9,n5) )).++fof(axN6_59_6,axiom,+ ( p(n6,n5,n6)+ => ~ p(n6,n9,n6) )).++fof(axN6_59_7,axiom,+ ( p(n6,n5,n7)+ => ~ p(n6,n9,n7) )).++fof(axN6_59_8,axiom,+ ( p(n6,n5,n8)+ => ~ p(n6,n9,n8) )).++fof(axN6_59_9,axiom,+ ( p(n6,n5,n9)+ => ~ p(n6,n9,n9) )).++fof(axN6_67_1,axiom,+ ( p(n6,n6,n1)+ => ~ p(n6,n7,n1) )).++fof(axN6_67_2,axiom,+ ( p(n6,n6,n2)+ => ~ p(n6,n7,n2) )).++fof(axN6_67_3,axiom,+ ( p(n6,n6,n3)+ => ~ p(n6,n7,n3) )).++fof(axN6_67_4,axiom,+ ( p(n6,n6,n4)+ => ~ p(n6,n7,n4) )).++fof(axN6_67_5,axiom,+ ( p(n6,n6,n5)+ => ~ p(n6,n7,n5) )).++fof(axN6_67_6,axiom,+ ( p(n6,n6,n6)+ => ~ p(n6,n7,n6) )).++fof(axN6_67_7,axiom,+ ( p(n6,n6,n7)+ => ~ p(n6,n7,n7) )).++fof(axN6_67_8,axiom,+ ( p(n6,n6,n8)+ => ~ p(n6,n7,n8) )).++fof(axN6_67_9,axiom,+ ( p(n6,n6,n9)+ => ~ p(n6,n7,n9) )).++fof(axN6_68_1,axiom,+ ( p(n6,n6,n1)+ => ~ p(n6,n8,n1) )).++fof(axN6_68_2,axiom,+ ( p(n6,n6,n2)+ => ~ p(n6,n8,n2) )).++fof(axN6_68_3,axiom,+ ( p(n6,n6,n3)+ => ~ p(n6,n8,n3) )).++fof(axN6_68_4,axiom,+ ( p(n6,n6,n4)+ => ~ p(n6,n8,n4) )).++fof(axN6_68_5,axiom,+ ( p(n6,n6,n5)+ => ~ p(n6,n8,n5) )).++fof(axN6_68_6,axiom,+ ( p(n6,n6,n6)+ => ~ p(n6,n8,n6) )).++fof(axN6_68_7,axiom,+ ( p(n6,n6,n7)+ => ~ p(n6,n8,n7) )).++fof(axN6_68_8,axiom,+ ( p(n6,n6,n8)+ => ~ p(n6,n8,n8) )).++fof(axN6_68_9,axiom,+ ( p(n6,n6,n9)+ => ~ p(n6,n8,n9) )).++fof(axN6_69_1,axiom,+ ( p(n6,n6,n1)+ => ~ p(n6,n9,n1) )).++fof(axN6_69_2,axiom,+ ( p(n6,n6,n2)+ => ~ p(n6,n9,n2) )).++fof(axN6_69_3,axiom,+ ( p(n6,n6,n3)+ => ~ p(n6,n9,n3) )).++fof(axN6_69_4,axiom,+ ( p(n6,n6,n4)+ => ~ p(n6,n9,n4) )).++fof(axN6_69_5,axiom,+ ( p(n6,n6,n5)+ => ~ p(n6,n9,n5) )).++fof(axN6_69_6,axiom,+ ( p(n6,n6,n6)+ => ~ p(n6,n9,n6) )).++fof(axN6_69_7,axiom,+ ( p(n6,n6,n7)+ => ~ p(n6,n9,n7) )).++fof(axN6_69_8,axiom,+ ( p(n6,n6,n8)+ => ~ p(n6,n9,n8) )).++fof(axN6_69_9,axiom,+ ( p(n6,n6,n9)+ => ~ p(n6,n9,n9) )).++fof(axN6_78_1,axiom,+ ( p(n6,n7,n1)+ => ~ p(n6,n8,n1) )).++fof(axN6_78_2,axiom,+ ( p(n6,n7,n2)+ => ~ p(n6,n8,n2) )).++fof(axN6_78_3,axiom,+ ( p(n6,n7,n3)+ => ~ p(n6,n8,n3) )).++fof(axN6_78_4,axiom,+ ( p(n6,n7,n4)+ => ~ p(n6,n8,n4) )).++fof(axN6_78_5,axiom,+ ( p(n6,n7,n5)+ => ~ p(n6,n8,n5) )).++fof(axN6_78_6,axiom,+ ( p(n6,n7,n6)+ => ~ p(n6,n8,n6) )).++fof(axN6_78_7,axiom,+ ( p(n6,n7,n7)+ => ~ p(n6,n8,n7) )).++fof(axN6_78_8,axiom,+ ( p(n6,n7,n8)+ => ~ p(n6,n8,n8) )).++fof(axN6_78_9,axiom,+ ( p(n6,n7,n9)+ => ~ p(n6,n8,n9) )).++fof(axN6_79_1,axiom,+ ( p(n6,n7,n1)+ => ~ p(n6,n9,n1) )).++fof(axN6_79_2,axiom,+ ( p(n6,n7,n2)+ => ~ p(n6,n9,n2) )).++fof(axN6_79_3,axiom,+ ( p(n6,n7,n3)+ => ~ p(n6,n9,n3) )).++fof(axN6_79_4,axiom,+ ( p(n6,n7,n4)+ => ~ p(n6,n9,n4) )).++fof(axN6_79_5,axiom,+ ( p(n6,n7,n5)+ => ~ p(n6,n9,n5) )).++fof(axN6_79_6,axiom,+ ( p(n6,n7,n6)+ => ~ p(n6,n9,n6) )).++fof(axN6_79_7,axiom,+ ( p(n6,n7,n7)+ => ~ p(n6,n9,n7) )).++fof(axN6_79_8,axiom,+ ( p(n6,n7,n8)+ => ~ p(n6,n9,n8) )).++fof(axN6_79_9,axiom,+ ( p(n6,n7,n9)+ => ~ p(n6,n9,n9) )).++fof(axN6_89_1,axiom,+ ( p(n6,n8,n1)+ => ~ p(n6,n9,n1) )).++fof(axN6_89_2,axiom,+ ( p(n6,n8,n2)+ => ~ p(n6,n9,n2) )).++fof(axN6_89_3,axiom,+ ( p(n6,n8,n3)+ => ~ p(n6,n9,n3) )).++fof(axN6_89_4,axiom,+ ( p(n6,n8,n4)+ => ~ p(n6,n9,n4) )).++fof(axN6_89_5,axiom,+ ( p(n6,n8,n5)+ => ~ p(n6,n9,n5) )).++fof(axN6_89_6,axiom,+ ( p(n6,n8,n6)+ => ~ p(n6,n9,n6) )).++fof(axN6_89_7,axiom,+ ( p(n6,n8,n7)+ => ~ p(n6,n9,n7) )).++fof(axN6_89_8,axiom,+ ( p(n6,n8,n8)+ => ~ p(n6,n9,n8) )).++fof(axN6_89_9,axiom,+ ( p(n6,n8,n9)+ => ~ p(n6,n9,n9) )).++fof(axN7_12_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n2,n1) )).++fof(axN7_12_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n2,n2) )).++fof(axN7_12_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n2,n3) )).++fof(axN7_12_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n2,n4) )).++fof(axN7_12_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n2,n5) )).++fof(axN7_12_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n7,n2,n6) )).++fof(axN7_12_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n7,n2,n7) )).++fof(axN7_12_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n7,n2,n8) )).++fof(axN7_12_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n7,n2,n9) )).++fof(axN7_13_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n3,n1) )).++fof(axN7_13_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n3,n2) )).++fof(axN7_13_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n3,n3) )).++fof(axN7_13_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n3,n4) )).++fof(axN7_13_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n3,n5) )).++fof(axN7_13_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n7,n3,n6) )).++fof(axN7_13_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n7,n3,n7) )).++fof(axN7_13_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n7,n3,n8) )).++fof(axN7_13_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n7,n3,n9) )).++fof(axN7_14_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n4,n1) )).++fof(axN7_14_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n4,n2) )).++fof(axN7_14_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n4,n3) )).++fof(axN7_14_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n4,n4) )).++fof(axN7_14_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n4,n5) )).++fof(axN7_14_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n7,n4,n6) )).++fof(axN7_14_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n7,n4,n7) )).++fof(axN7_14_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n7,n4,n8) )).++fof(axN7_14_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n7,n4,n9) )).++fof(axN7_15_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n5,n1) )).++fof(axN7_15_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n5,n2) )).++fof(axN7_15_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n5,n3) )).++fof(axN7_15_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n5,n4) )).++fof(axN7_15_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n5,n5) )).++fof(axN7_15_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n7,n5,n6) )).++fof(axN7_15_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n7,n5,n7) )).++fof(axN7_15_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n7,n5,n8) )).++fof(axN7_15_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n7,n5,n9) )).++fof(axN7_16_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n6,n1) )).++fof(axN7_16_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n6,n2) )).++fof(axN7_16_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n6,n3) )).++fof(axN7_16_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n6,n4) )).++fof(axN7_16_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n6,n5) )).++fof(axN7_16_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n7,n6,n6) )).++fof(axN7_16_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n7,n6,n7) )).++fof(axN7_16_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n7,n6,n8) )).++fof(axN7_16_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n7,n6,n9) )).++fof(axN7_17_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n7,n1) )).++fof(axN7_17_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n7,n2) )).++fof(axN7_17_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n7,n3) )).++fof(axN7_17_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n7,n4) )).++fof(axN7_17_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n7,n5) )).++fof(axN7_17_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n7,n7,n6) )).++fof(axN7_17_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n7,n7,n7) )).++fof(axN7_17_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n7,n7,n8) )).++fof(axN7_17_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n7,n7,n9) )).++fof(axN7_18_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n8,n1) )).++fof(axN7_18_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n8,n2) )).++fof(axN7_18_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n8,n3) )).++fof(axN7_18_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n8,n4) )).++fof(axN7_18_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n8,n5) )).++fof(axN7_18_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n7,n8,n6) )).++fof(axN7_18_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n7,n8,n7) )).++fof(axN7_18_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n7,n8,n8) )).++fof(axN7_18_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n7,n8,n9) )).++fof(axN7_19_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n9,n1) )).++fof(axN7_19_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n9,n2) )).++fof(axN7_19_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n9,n3) )).++fof(axN7_19_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n9,n4) )).++fof(axN7_19_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n9,n5) )).++fof(axN7_19_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n7,n9,n6) )).++fof(axN7_19_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n7,n9,n7) )).++fof(axN7_198,axiom,+ ( p(n7,n1,n8)+ => ~ p(n7,n9,n8) )).++fof(axN7_19_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n7,n9,n9) )).++fof(axN7_23_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n3,n1) )).++fof(axN7_23_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n3,n2) )).++fof(axN7_23_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n3,n3) )).++fof(axN7_23_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n3,n4) )).++fof(axN7_23_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n7,n3,n5) )).++fof(axN7_23_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n7,n3,n6) )).++fof(axN7_23_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n7,n3,n7) )).++fof(axN7_23_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n7,n3,n8) )).++fof(axN7_23_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n7,n3,n9) )).++fof(axN7_24_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n4,n1) )).++fof(axN7_24_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n4,n2) )).++fof(axN7_24_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n4,n3) )).++fof(axN7_24_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n4,n4) )).++fof(axN7_24_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n7,n4,n5) )).++fof(axN7_24_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n7,n4,n6) )).++fof(axN7_24_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n7,n4,n7) )).++fof(axN7_24_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n7,n4,n8) )).++fof(axN7_24_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n7,n4,n9) )).++fof(axN7_25_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n5,n1) )).++fof(axN7_25_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n5,n2) )).++fof(axN7_25_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n5,n3) )).++fof(axN7_25_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n5,n4) )).++fof(axN7_25_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n7,n5,n5) )).++fof(axN7_25_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n7,n5,n6) )).++fof(axN7_25_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n7,n5,n7) )).++fof(axN7_25_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n7,n5,n8) )).++fof(axN7_25_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n7,n5,n9) )).++fof(axN7_26_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n6,n1) )).++fof(axN7_26_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n6,n2) )).++fof(axN7_26_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n6,n3) )).++fof(axN7_26_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n6,n4) )).++fof(axN7_26_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n7,n6,n5) )).++fof(axN7_26_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n7,n6,n6) )).++fof(axN7_26_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n7,n6,n7) )).++fof(axN7_26_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n7,n6,n8) )).++fof(axN7_26_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n7,n6,n9) )).++fof(axN7_27_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n7,n1) )).++fof(axN7_27_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n7,n2) )).++fof(axN7_27_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n7,n3) )).++fof(axN7_27_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n7,n4) )).++fof(axN7_27_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n7,n7,n5) )).++fof(axN7_27_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n7,n7,n6) )).++fof(axN7_27_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n7,n7,n7) )).++fof(axN7_27_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n7,n7,n8) )).++fof(axN7_27_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n7,n7,n9) )).++fof(axN7_28_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n8,n1) )).++fof(axN7_28_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n8,n2) )).++fof(axN7_28_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n8,n3) )).++fof(axN7_28_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n8,n4) )).++fof(axN7_28_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n7,n8,n5) )).++fof(axN7_28_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n7,n8,n6) )).++fof(axN7_28_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n7,n8,n7) )).++fof(axN7_28_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n7,n8,n8) )).++fof(axN7_28_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n7,n8,n9) )).++fof(axN7_29_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n9,n1) )).++fof(axN7_29_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n9,n2) )).++fof(axN7_29_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n9,n3) )).++fof(axN7_29_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n9,n4) )).++fof(axN7_29_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n7,n9,n5) )).++fof(axN7_29_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n7,n9,n6) )).++fof(axN7_29_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n7,n9,n7) )).++fof(axN7_29_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n7,n9,n8) )).++fof(axN7_29_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n7,n9,n9) )).++fof(axN7_34_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n4,n1) )).++fof(axN7_34_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n4,n2) )).++fof(axN7_34_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n4,n3) )).++fof(axN7_34_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n7,n4,n4) )).++fof(axN7_34_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n7,n4,n5) )).++fof(axN7_34_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n7,n4,n6) )).++fof(axN7_34_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n7,n4,n7) )).++fof(axN7_34_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n7,n4,n8) )).++fof(axN7_34_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n7,n4,n9) )).++fof(axN7_35_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n5,n1) )).++fof(axN7_35_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n5,n2) )).++fof(axN7_35_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n5,n3) )).++fof(axN7_35_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n7,n5,n4) )).++fof(axN7_35_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n7,n5,n5) )).++fof(axN7_35_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n7,n5,n6) )).++fof(axN7_35_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n7,n5,n7) )).++fof(axN7_35_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n7,n5,n8) )).++fof(axN7_35_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n7,n5,n9) )).++fof(axN7_36_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n6,n1) )).++fof(axN7_36_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n6,n2) )).++fof(axN7_36_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n6,n3) )).++fof(axN7_36_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n7,n6,n4) )).++fof(axN7_36_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n7,n6,n5) )).++fof(axN7_36_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n7,n6,n6) )).++fof(axN7_36_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n7,n6,n7) )).++fof(axN7_36_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n7,n6,n8) )).++fof(axN7_36_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n7,n6,n9) )).++fof(axN7_37_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n7,n1) )).++fof(axN7_37_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n7,n2) )).++fof(axN7_37_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n7,n3) )).++fof(axN7_37_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n7,n7,n4) )).++fof(axN7_37_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n7,n7,n5) )).++fof(axN7_37_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n7,n7,n6) )).++fof(axN7_37_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n7,n7,n7) )).++fof(axN7_37_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n7,n7,n8) )).++fof(axN7_37_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n7,n7,n9) )).++fof(axN7_38_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n8,n1) )).++fof(axN7_38_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n8,n2) )).++fof(axN7_38_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n8,n3) )).++fof(axN7_38_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n7,n8,n4) )).++fof(axN7_38_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n7,n8,n5) )).++fof(axN7_38_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n7,n8,n6) )).++fof(axN7_38_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n7,n8,n7) )).++fof(axN7_38_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n7,n8,n8) )).++fof(axN7_38_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n7,n8,n9) )).++fof(axN7_39_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n9,n1) )).++fof(axN7_39_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n9,n2) )).++fof(axN7_39_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n9,n3) )).++fof(axN7_39_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n7,n9,n4) )).++fof(axN7_39_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n7,n9,n5) )).++fof(axN7_39_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n7,n9,n6) )).++fof(axN7_39_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n7,n9,n7) )).++fof(axN7_39_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n7,n9,n8) )).++fof(axN7_39_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n7,n9,n9) )).++fof(axN7_45_1,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n5,n1) )).++fof(axN7_45_2,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n5,n2) )).++fof(axN7_45_3,axiom,+ ( p(n7,n4,n3)+ => ~ p(n7,n5,n3) )).++fof(axN7_45_4,axiom,+ ( p(n7,n4,n4)+ => ~ p(n7,n5,n4) )).++fof(axN7_45_5,axiom,+ ( p(n7,n4,n5)+ => ~ p(n7,n5,n5) )).++fof(axN7_45_6,axiom,+ ( p(n7,n4,n6)+ => ~ p(n7,n5,n6) )).++fof(axN7_45_7,axiom,+ ( p(n7,n4,n7)+ => ~ p(n7,n5,n7) )).++fof(axN7_45_8,axiom,+ ( p(n7,n4,n8)+ => ~ p(n7,n5,n8) )).++fof(axN7_45_9,axiom,+ ( p(n7,n4,n9)+ => ~ p(n7,n5,n9) )).++fof(axN7_46_1,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n6,n1) )).++fof(axN7_46_2,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n6,n2) )).++fof(axN7_46_3,axiom,+ ( p(n7,n4,n3)+ => ~ p(n7,n6,n3) )).++fof(axN7_46_4,axiom,+ ( p(n7,n4,n4)+ => ~ p(n7,n6,n4) )).++fof(axN7_46_5,axiom,+ ( p(n7,n4,n5)+ => ~ p(n7,n6,n5) )).++fof(axN7_46_6,axiom,+ ( p(n7,n4,n6)+ => ~ p(n7,n6,n6) )).++fof(axN7_46_7,axiom,+ ( p(n7,n4,n7)+ => ~ p(n7,n6,n7) )).++fof(axN7_46_8,axiom,+ ( p(n7,n4,n8)+ => ~ p(n7,n6,n8) )).++fof(axN7_46_9,axiom,+ ( p(n7,n4,n9)+ => ~ p(n7,n6,n9) )).++fof(axN7_47_1,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n7,n1) )).++fof(axN7_47_2,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n7,n2) )).++fof(axN7_47_3,axiom,+ ( p(n7,n4,n3)+ => ~ p(n7,n7,n3) )).++fof(axN7_47_4,axiom,+ ( p(n7,n4,n4)+ => ~ p(n7,n7,n4) )).++fof(axN7_47_5,axiom,+ ( p(n7,n4,n5)+ => ~ p(n7,n7,n5) )).++fof(axN7_47_6,axiom,+ ( p(n7,n4,n6)+ => ~ p(n7,n7,n6) )).++fof(axN7_47_7,axiom,+ ( p(n7,n4,n7)+ => ~ p(n7,n7,n7) )).++fof(axN7_47_8,axiom,+ ( p(n7,n4,n8)+ => ~ p(n7,n7,n8) )).++fof(axN7_47_9,axiom,+ ( p(n7,n4,n9)+ => ~ p(n7,n7,n9) )).++fof(axN7_48_1,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n8,n1) )).++fof(axN7_48_2,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n8,n2) )).++fof(axN7_48_3,axiom,+ ( p(n7,n4,n3)+ => ~ p(n7,n8,n3) )).++fof(axN7_48_4,axiom,+ ( p(n7,n4,n4)+ => ~ p(n7,n8,n4) )).++fof(axN7_48_5,axiom,+ ( p(n7,n4,n5)+ => ~ p(n7,n8,n5) )).++fof(axN7_48_6,axiom,+ ( p(n7,n4,n6)+ => ~ p(n7,n8,n6) )).++fof(axN7_48_7,axiom,+ ( p(n7,n4,n7)+ => ~ p(n7,n8,n7) )).++fof(axN7_48_8,axiom,+ ( p(n7,n4,n8)+ => ~ p(n7,n8,n8) )).++fof(axN7_48_9,axiom,+ ( p(n7,n4,n9)+ => ~ p(n7,n8,n9) )).++fof(axN7_49_1,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n9,n1) )).++fof(axN7_49_2,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n9,n2) )).++fof(axN7_49_3,axiom,+ ( p(n7,n4,n3)+ => ~ p(n7,n9,n3) )).++fof(axN7_49_4,axiom,+ ( p(n7,n4,n4)+ => ~ p(n7,n9,n4) )).++fof(axN7_49_5,axiom,+ ( p(n7,n4,n5)+ => ~ p(n7,n9,n5) )).++fof(axN7_49_6,axiom,+ ( p(n7,n4,n6)+ => ~ p(n7,n9,n6) )).++fof(axN7_49_7,axiom,+ ( p(n7,n4,n7)+ => ~ p(n7,n9,n7) )).++fof(axN7_49_8,axiom,+ ( p(n7,n4,n8)+ => ~ p(n7,n9,n8) )).++fof(axN7_49_9,axiom,+ ( p(n7,n4,n9)+ => ~ p(n7,n9,n9) )).++fof(axN7_56_1,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n6,n1) )).++fof(axN7_56_2,axiom,+ ( p(n7,n5,n2)+ => ~ p(n7,n6,n2) )).++fof(axN7_56_3,axiom,+ ( p(n7,n5,n3)+ => ~ p(n7,n6,n3) )).++fof(axN7_56_4,axiom,+ ( p(n7,n5,n4)+ => ~ p(n7,n6,n4) )).++fof(axN7_56_5,axiom,+ ( p(n7,n5,n5)+ => ~ p(n7,n6,n5) )).++fof(axN7_56_6,axiom,+ ( p(n7,n5,n6)+ => ~ p(n7,n6,n6) )).++fof(axN7_56_7,axiom,+ ( p(n7,n5,n7)+ => ~ p(n7,n6,n7) )).++fof(axN7_56_8,axiom,+ ( p(n7,n5,n8)+ => ~ p(n7,n6,n8) )).++fof(axN7_56_9,axiom,+ ( p(n7,n5,n9)+ => ~ p(n7,n6,n9) )).++fof(axN7_57_1,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n7,n1) )).++fof(axN7_57_2,axiom,+ ( p(n7,n5,n2)+ => ~ p(n7,n7,n2) )).++fof(axN7_57_3,axiom,+ ( p(n7,n5,n3)+ => ~ p(n7,n7,n3) )).++fof(axN7_57_4,axiom,+ ( p(n7,n5,n4)+ => ~ p(n7,n7,n4) )).++fof(axN7_57_5,axiom,+ ( p(n7,n5,n5)+ => ~ p(n7,n7,n5) )).++fof(axN7_57_6,axiom,+ ( p(n7,n5,n6)+ => ~ p(n7,n7,n6) )).++fof(axN7_57_7,axiom,+ ( p(n7,n5,n7)+ => ~ p(n7,n7,n7) )).++fof(axN7_57_8,axiom,+ ( p(n7,n5,n8)+ => ~ p(n7,n7,n8) )).++fof(axN7_57_9,axiom,+ ( p(n7,n5,n9)+ => ~ p(n7,n7,n9) )).++fof(axN7_58_1,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n8,n1) )).++fof(axN7_58_2,axiom,+ ( p(n7,n5,n2)+ => ~ p(n7,n8,n2) )).++fof(axN7_58_3,axiom,+ ( p(n7,n5,n3)+ => ~ p(n7,n8,n3) )).++fof(axN7_58_4,axiom,+ ( p(n7,n5,n4)+ => ~ p(n7,n8,n4) )).++fof(axN7_58_5,axiom,+ ( p(n7,n5,n5)+ => ~ p(n7,n8,n5) )).++fof(axN7_58_6,axiom,+ ( p(n7,n5,n6)+ => ~ p(n7,n8,n6) )).++fof(axN7_58_7,axiom,+ ( p(n7,n5,n7)+ => ~ p(n7,n8,n7) )).++fof(axN7_58_8,axiom,+ ( p(n7,n5,n8)+ => ~ p(n7,n8,n8) )).++fof(axN7_58_9,axiom,+ ( p(n7,n5,n9)+ => ~ p(n7,n8,n9) )).++fof(axN7_59_1,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n9,n1) )).++fof(axN7_59_2,axiom,+ ( p(n7,n5,n2)+ => ~ p(n7,n9,n2) )).++fof(axN7_59_3,axiom,+ ( p(n7,n5,n3)+ => ~ p(n7,n9,n3) )).++fof(axN7_59_4,axiom,+ ( p(n7,n5,n4)+ => ~ p(n7,n9,n4) )).++fof(axN7_59_5,axiom,+ ( p(n7,n5,n5)+ => ~ p(n7,n9,n5) )).++fof(axN7_59_6,axiom,+ ( p(n7,n5,n6)+ => ~ p(n7,n9,n6) )).++fof(axN7_59_7,axiom,+ ( p(n7,n5,n7)+ => ~ p(n7,n9,n7) )).++fof(axN7_59_8,axiom,+ ( p(n7,n5,n8)+ => ~ p(n7,n9,n8) )).++fof(axN7_59_9,axiom,+ ( p(n7,n5,n9)+ => ~ p(n7,n9,n9) )).++fof(axN7_67_1,axiom,+ ( p(n7,n6,n1)+ => ~ p(n7,n7,n1) )).++fof(axN7_67_2,axiom,+ ( p(n7,n6,n2)+ => ~ p(n7,n7,n2) )).++fof(axN7_67_3,axiom,+ ( p(n7,n6,n3)+ => ~ p(n7,n7,n3) )).++fof(axN7_67_4,axiom,+ ( p(n7,n6,n4)+ => ~ p(n7,n7,n4) )).++fof(axN7_67_5,axiom,+ ( p(n7,n6,n5)+ => ~ p(n7,n7,n5) )).++fof(axN7_67_6,axiom,+ ( p(n7,n6,n6)+ => ~ p(n7,n7,n6) )).++fof(axN7_67_7,axiom,+ ( p(n7,n6,n7)+ => ~ p(n7,n7,n7) )).++fof(axN7_67_8,axiom,+ ( p(n7,n6,n8)+ => ~ p(n7,n7,n8) )).++fof(axN7_67_9,axiom,+ ( p(n7,n6,n9)+ => ~ p(n7,n7,n9) )).++fof(axN7_68_1,axiom,+ ( p(n7,n6,n1)+ => ~ p(n7,n8,n1) )).++fof(axN7_68_2,axiom,+ ( p(n7,n6,n2)+ => ~ p(n7,n8,n2) )).++fof(axN7_68_3,axiom,+ ( p(n7,n6,n3)+ => ~ p(n7,n8,n3) )).++fof(axN7_68_4,axiom,+ ( p(n7,n6,n4)+ => ~ p(n7,n8,n4) )).++fof(axN7_68_5,axiom,+ ( p(n7,n6,n5)+ => ~ p(n7,n8,n5) )).++fof(axN7_68_6,axiom,+ ( p(n7,n6,n6)+ => ~ p(n7,n8,n6) )).++fof(axN7_68_7,axiom,+ ( p(n7,n6,n7)+ => ~ p(n7,n8,n7) )).++fof(axN7_68_8,axiom,+ ( p(n7,n6,n8)+ => ~ p(n7,n8,n8) )).++fof(axN7_68_9,axiom,+ ( p(n7,n6,n9)+ => ~ p(n7,n8,n9) )).++fof(axN7_69_1,axiom,+ ( p(n7,n6,n1)+ => ~ p(n7,n9,n1) )).++fof(axN7_69_2,axiom,+ ( p(n7,n6,n2)+ => ~ p(n7,n9,n2) )).++fof(axN7_69_3,axiom,+ ( p(n7,n6,n3)+ => ~ p(n7,n9,n3) )).++fof(axN7_69_4,axiom,+ ( p(n7,n6,n4)+ => ~ p(n7,n9,n4) )).++fof(axN7_69_5,axiom,+ ( p(n7,n6,n5)+ => ~ p(n7,n9,n5) )).++fof(axN7_69_6,axiom,+ ( p(n7,n6,n6)+ => ~ p(n7,n9,n6) )).++fof(axN7_69_7,axiom,+ ( p(n7,n6,n7)+ => ~ p(n7,n9,n7) )).++fof(axN7_69_8,axiom,+ ( p(n7,n6,n8)+ => ~ p(n7,n9,n8) )).++fof(axN7_69_9,axiom,+ ( p(n7,n6,n9)+ => ~ p(n7,n9,n9) )).++fof(axN7_78_1,axiom,+ ( p(n7,n7,n1)+ => ~ p(n7,n8,n1) )).++fof(axN7_78_2,axiom,+ ( p(n7,n7,n2)+ => ~ p(n7,n8,n2) )).++fof(axN7_78_3,axiom,+ ( p(n7,n7,n3)+ => ~ p(n7,n8,n3) )).++fof(axN7_78_4,axiom,+ ( p(n7,n7,n4)+ => ~ p(n7,n8,n4) )).++fof(axN7_78_5,axiom,+ ( p(n7,n7,n5)+ => ~ p(n7,n8,n5) )).++fof(axN7_78_6,axiom,+ ( p(n7,n7,n6)+ => ~ p(n7,n8,n6) )).++fof(axN7_78_7,axiom,+ ( p(n7,n7,n7)+ => ~ p(n7,n8,n7) )).++fof(axN7_78_8,axiom,+ ( p(n7,n7,n8)+ => ~ p(n7,n8,n8) )).++fof(axN7_78_9,axiom,+ ( p(n7,n7,n9)+ => ~ p(n7,n8,n9) )).++fof(axN7_79_1,axiom,+ ( p(n7,n7,n1)+ => ~ p(n7,n9,n1) )).++fof(axN7_79_2,axiom,+ ( p(n7,n7,n2)+ => ~ p(n7,n9,n2) )).++fof(axN7_79_3,axiom,+ ( p(n7,n7,n3)+ => ~ p(n7,n9,n3) )).++fof(axN7_79_4,axiom,+ ( p(n7,n7,n4)+ => ~ p(n7,n9,n4) )).++fof(axN7_79_5,axiom,+ ( p(n7,n7,n5)+ => ~ p(n7,n9,n5) )).++fof(axN7_79_6,axiom,+ ( p(n7,n7,n6)+ => ~ p(n7,n9,n6) )).++fof(axN7_79_7,axiom,+ ( p(n7,n7,n7)+ => ~ p(n7,n9,n7) )).++fof(axN7_79_8,axiom,+ ( p(n7,n7,n8)+ => ~ p(n7,n9,n8) )).++fof(axN7_79_9,axiom,+ ( p(n7,n7,n9)+ => ~ p(n7,n9,n9) )).++fof(axN7_89_1,axiom,+ ( p(n7,n8,n1)+ => ~ p(n7,n9,n1) )).++fof(axN7_89_2,axiom,+ ( p(n7,n8,n2)+ => ~ p(n7,n9,n2) )).++fof(axN7_89_3,axiom,+ ( p(n7,n8,n3)+ => ~ p(n7,n9,n3) )).++fof(axN7_89_4,axiom,+ ( p(n7,n8,n4)+ => ~ p(n7,n9,n4) )).++fof(axN7_89_5,axiom,+ ( p(n7,n8,n5)+ => ~ p(n7,n9,n5) )).++fof(axN7_89_6,axiom,+ ( p(n7,n8,n6)+ => ~ p(n7,n9,n6) )).++fof(axN7_89_7,axiom,+ ( p(n7,n8,n7)+ => ~ p(n7,n9,n7) )).++fof(axN7_89_8,axiom,+ ( p(n7,n8,n8)+ => ~ p(n7,n9,n8) )).++fof(axN7_89_9,axiom,+ ( p(n7,n8,n9)+ => ~ p(n7,n9,n9) )).++fof(axN8_12_1,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n2,n1) )).++fof(axN8_12_2,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n2,n2) )).++fof(axN8_12_3,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n2,n3) )).++fof(axN8_12_4,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n2,n4) )).++fof(axN8_12_5,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n2,n5) )).++fof(axN8_12_6,axiom,+ ( p(n8,n1,n6)+ => ~ p(n8,n2,n6) )).++fof(axN8_12_7,axiom,+ ( p(n8,n1,n7)+ => ~ p(n8,n2,n7) )).++fof(axN8_12_8,axiom,+ ( p(n8,n1,n8)+ => ~ p(n8,n2,n8) )).++fof(axN8_12_9,axiom,+ ( p(n8,n1,n9)+ => ~ p(n8,n2,n9) )).++fof(axN8_13_1,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n3,n1) )).++fof(axN8_13_2,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n3,n2) )).++fof(axN8_13_3,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n3,n3) )).++fof(axN8_13_4,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n3,n4) )).++fof(axN8_13_5,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n3,n5) )).++fof(axN8_13_6,axiom,+ ( p(n8,n1,n6)+ => ~ p(n8,n3,n6) )).++fof(axN8_13_7,axiom,+ ( p(n8,n1,n7)+ => ~ p(n8,n3,n7) )).++fof(axN8_13_8,axiom,+ ( p(n8,n1,n8)+ => ~ p(n8,n3,n8) )).++fof(axN8_13_9,axiom,+ ( p(n8,n1,n9)+ => ~ p(n8,n3,n9) )).++fof(axN8_14_1,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n4,n1) )).++fof(axN8_14_2,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n4,n2) )).++fof(axN8_14_3,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n4,n3) )).++fof(axN8_14_4,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n4,n4) )).++fof(axN8_14_5,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n4,n5) )).++fof(axN8_14_6,axiom,+ ( p(n8,n1,n6)+ => ~ p(n8,n4,n6) )).++fof(axN8_14_7,axiom,+ ( p(n8,n1,n7)+ => ~ p(n8,n4,n7) )).++fof(axN8_14_8,axiom,+ ( p(n8,n1,n8)+ => ~ p(n8,n4,n8) )).++fof(axN8_14_9,axiom,+ ( p(n8,n1,n9)+ => ~ p(n8,n4,n9) )).++fof(axN8_15_1,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n5,n1) )).++fof(axN8_15_2,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n5,n2) )).++fof(axN8_15_3,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n5,n3) )).++fof(axN8_15_4,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n5,n4) )).++fof(axN8_15_5,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n5,n5) )).++fof(axN8_15_6,axiom,+ ( p(n8,n1,n6)+ => ~ p(n8,n5,n6) )).++fof(axN8_15_7,axiom,+ ( p(n8,n1,n7)+ => ~ p(n8,n5,n7) )).++fof(axN8_15_8,axiom,+ ( p(n8,n1,n8)+ => ~ p(n8,n5,n8) )).++fof(axN8_15_9,axiom,+ ( p(n8,n1,n9)+ => ~ p(n8,n5,n9) )).++fof(axN8_16_1,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n6,n1) )).++fof(axN8_16_2,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n6,n2) )).++fof(axN8_16_3,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n6,n3) )).++fof(axN8_16_4,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n6,n4) )).++fof(axN8_16_5,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n6,n5) )).++fof(axN8_16_6,axiom,+ ( p(n8,n1,n6)+ => ~ p(n8,n6,n6) )).++fof(axN8_16_7,axiom,+ ( p(n8,n1,n7)+ => ~ p(n8,n6,n7) )).++fof(axN8_16_8,axiom,+ ( p(n8,n1,n8)+ => ~ p(n8,n6,n8) )).++fof(axN8_16_9,axiom,+ ( p(n8,n1,n9)+ => ~ p(n8,n6,n9) )).++fof(axN8_17_1,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n7,n1) )).++fof(axN8_17_2,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n7,n2) )).++fof(axN8_17_3,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n7,n3) )).++fof(axN8_17_4,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n7,n4) )).++fof(axN8_17_5,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n7,n5) )).++fof(axN8_17_6,axiom,+ ( p(n8,n1,n6)+ => ~ p(n8,n7,n6) )).++fof(axN8_17_7,axiom,+ ( p(n8,n1,n7)+ => ~ p(n8,n7,n7) )).++fof(axN8_17_8,axiom,+ ( p(n8,n1,n8)+ => ~ p(n8,n7,n8) )).++fof(axN8_17_9,axiom,+ ( p(n8,n1,n9)+ => ~ p(n8,n7,n9) )).++fof(axN8_18_1,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n8,n1) )).++fof(axN8_18_2,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n8,n2) )).++fof(axN8_18_3,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n8,n3) )).++fof(axN8_18_4,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n8,n4) )).++fof(axN8_18_5,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n8,n5) )).++fof(axN8_18_6,axiom,+ ( p(n8,n1,n6)+ => ~ p(n8,n8,n6) )).++fof(axN8_18_7,axiom,+ ( p(n8,n1,n7)+ => ~ p(n8,n8,n7) )).++fof(axN8_18_8,axiom,+ ( p(n8,n1,n8)+ => ~ p(n8,n8,n8) )).++fof(axN8_18_9,axiom,+ ( p(n8,n1,n9)+ => ~ p(n8,n8,n9) )).++fof(axN8_19_1,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n9,n1) )).++fof(axN8_19_2,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n9,n2) )).++fof(axN8_19_3,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n9,n3) )).++fof(axN8_19_4,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n9,n4) )).++fof(axN8_19_5,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n9,n5) )).++fof(axN8_19_6,axiom,+ ( p(n8,n1,n6)+ => ~ p(n8,n9,n6) )).++fof(axN8_19_7,axiom,+ ( p(n8,n1,n7)+ => ~ p(n8,n9,n7) )).++fof(axN8_198,axiom,+ ( p(n8,n1,n8)+ => ~ p(n8,n9,n8) )).++fof(axN8_19_9,axiom,+ ( p(n8,n1,n9)+ => ~ p(n8,n9,n9) )).++fof(axN8_23_1,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n3,n1) )).++fof(axN8_23_2,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n3,n2) )).++fof(axN8_23_3,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n3,n3) )).++fof(axN8_23_4,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n3,n4) )).++fof(axN8_23_5,axiom,+ ( p(n8,n2,n5)+ => ~ p(n8,n3,n5) )).++fof(axN8_23_6,axiom,+ ( p(n8,n2,n6)+ => ~ p(n8,n3,n6) )).++fof(axN8_23_7,axiom,+ ( p(n8,n2,n7)+ => ~ p(n8,n3,n7) )).++fof(axN8_23_8,axiom,+ ( p(n8,n2,n8)+ => ~ p(n8,n3,n8) )).++fof(axN8_23_9,axiom,+ ( p(n8,n2,n9)+ => ~ p(n8,n3,n9) )).++fof(axN8_24_1,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n4,n1) )).++fof(axN8_24_2,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n4,n2) )).++fof(axN8_24_3,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n4,n3) )).++fof(axN8_24_4,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n4,n4) )).++fof(axN8_24_5,axiom,+ ( p(n8,n2,n5)+ => ~ p(n8,n4,n5) )).++fof(axN8_24_6,axiom,+ ( p(n8,n2,n6)+ => ~ p(n8,n4,n6) )).++fof(axN8_24_7,axiom,+ ( p(n8,n2,n7)+ => ~ p(n8,n4,n7) )).++fof(axN8_24_8,axiom,+ ( p(n8,n2,n8)+ => ~ p(n8,n4,n8) )).++fof(axN8_24_9,axiom,+ ( p(n8,n2,n9)+ => ~ p(n8,n4,n9) )).++fof(axN8_25_1,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n5,n1) )).++fof(axN8_25_2,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n5,n2) )).++fof(axN8_25_3,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n5,n3) )).++fof(axN8_25_4,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n5,n4) )).++fof(axN8_25_5,axiom,+ ( p(n8,n2,n5)+ => ~ p(n8,n5,n5) )).++fof(axN8_25_6,axiom,+ ( p(n8,n2,n6)+ => ~ p(n8,n5,n6) )).++fof(axN8_25_7,axiom,+ ( p(n8,n2,n7)+ => ~ p(n8,n5,n7) )).++fof(axN8_25_8,axiom,+ ( p(n8,n2,n8)+ => ~ p(n8,n5,n8) )).++fof(axN8_25_9,axiom,+ ( p(n8,n2,n9)+ => ~ p(n8,n5,n9) )).++fof(axN8_26_1,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n6,n1) )).++fof(axN8_26_2,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n6,n2) )).++fof(axN8_26_3,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n6,n3) )).++fof(axN8_26_4,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n6,n4) )).++fof(axN8_26_5,axiom,+ ( p(n8,n2,n5)+ => ~ p(n8,n6,n5) )).++fof(axN8_26_6,axiom,+ ( p(n8,n2,n6)+ => ~ p(n8,n6,n6) )).++fof(axN8_26_7,axiom,+ ( p(n8,n2,n7)+ => ~ p(n8,n6,n7) )).++fof(axN8_26_8,axiom,+ ( p(n8,n2,n8)+ => ~ p(n8,n6,n8) )).++fof(axN8_26_9,axiom,+ ( p(n8,n2,n9)+ => ~ p(n8,n6,n9) )).++fof(axN8_27_1,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n7,n1) )).++fof(axN8_27_2,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n7,n2) )).++fof(axN8_27_3,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n7,n3) )).++fof(axN8_27_4,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n7,n4) )).++fof(axN8_27_5,axiom,+ ( p(n8,n2,n5)+ => ~ p(n8,n7,n5) )).++fof(axN8_27_6,axiom,+ ( p(n8,n2,n6)+ => ~ p(n8,n7,n6) )).++fof(axN8_27_7,axiom,+ ( p(n8,n2,n7)+ => ~ p(n8,n7,n7) )).++fof(axN8_27_8,axiom,+ ( p(n8,n2,n8)+ => ~ p(n8,n7,n8) )).++fof(axN8_27_9,axiom,+ ( p(n8,n2,n9)+ => ~ p(n8,n7,n9) )).++fof(axN8_28_1,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n8,n1) )).++fof(axN8_28_2,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n8,n2) )).++fof(axN8_28_3,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n8,n3) )).++fof(axN8_28_4,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n8,n4) )).++fof(axN8_28_5,axiom,+ ( p(n8,n2,n5)+ => ~ p(n8,n8,n5) )).++fof(axN8_28_6,axiom,+ ( p(n8,n2,n6)+ => ~ p(n8,n8,n6) )).++fof(axN8_28_7,axiom,+ ( p(n8,n2,n7)+ => ~ p(n8,n8,n7) )).++fof(axN8_28_8,axiom,+ ( p(n8,n2,n8)+ => ~ p(n8,n8,n8) )).++fof(axN8_28_9,axiom,+ ( p(n8,n2,n9)+ => ~ p(n8,n8,n9) )).++fof(axN8_29_1,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n9,n1) )).++fof(axN8_29_2,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n9,n2) )).++fof(axN8_29_3,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n9,n3) )).++fof(axN8_29_4,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n9,n4) )).++fof(axN8_29_5,axiom,+ ( p(n8,n2,n5)+ => ~ p(n8,n9,n5) )).++fof(axN8_29_6,axiom,+ ( p(n8,n2,n6)+ => ~ p(n8,n9,n6) )).++fof(axN8_29_7,axiom,+ ( p(n8,n2,n7)+ => ~ p(n8,n9,n7) )).++fof(axN8_29_8,axiom,+ ( p(n8,n2,n8)+ => ~ p(n8,n9,n8) )).++fof(axN8_29_9,axiom,+ ( p(n8,n2,n9)+ => ~ p(n8,n9,n9) )).++fof(axN8_34_1,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n4,n1) )).++fof(axN8_34_2,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n4,n2) )).++fof(axN8_34_3,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n4,n3) )).++fof(axN8_34_4,axiom,+ ( p(n8,n3,n4)+ => ~ p(n8,n4,n4) )).++fof(axN8_34_5,axiom,+ ( p(n8,n3,n5)+ => ~ p(n8,n4,n5) )).++fof(axN8_34_6,axiom,+ ( p(n8,n3,n6)+ => ~ p(n8,n4,n6) )).++fof(axN8_34_7,axiom,+ ( p(n8,n3,n7)+ => ~ p(n8,n4,n7) )).++fof(axN8_34_8,axiom,+ ( p(n8,n3,n8)+ => ~ p(n8,n4,n8) )).++fof(axN8_34_9,axiom,+ ( p(n8,n3,n9)+ => ~ p(n8,n4,n9) )).++fof(axN8_35_1,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n5,n1) )).++fof(axN8_35_2,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n5,n2) )).++fof(axN8_35_3,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n5,n3) )).++fof(axN8_35_4,axiom,+ ( p(n8,n3,n4)+ => ~ p(n8,n5,n4) )).++fof(axN8_35_5,axiom,+ ( p(n8,n3,n5)+ => ~ p(n8,n5,n5) )).++fof(axN8_35_6,axiom,+ ( p(n8,n3,n6)+ => ~ p(n8,n5,n6) )).++fof(axN8_35_7,axiom,+ ( p(n8,n3,n7)+ => ~ p(n8,n5,n7) )).++fof(axN8_35_8,axiom,+ ( p(n8,n3,n8)+ => ~ p(n8,n5,n8) )).++fof(axN8_35_9,axiom,+ ( p(n8,n3,n9)+ => ~ p(n8,n5,n9) )).++fof(axN8_36_1,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n6,n1) )).++fof(axN8_36_2,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n6,n2) )).++fof(axN8_36_3,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n6,n3) )).++fof(axN8_36_4,axiom,+ ( p(n8,n3,n4)+ => ~ p(n8,n6,n4) )).++fof(axN8_36_5,axiom,+ ( p(n8,n3,n5)+ => ~ p(n8,n6,n5) )).++fof(axN8_36_6,axiom,+ ( p(n8,n3,n6)+ => ~ p(n8,n6,n6) )).++fof(axN8_36_7,axiom,+ ( p(n8,n3,n7)+ => ~ p(n8,n6,n7) )).++fof(axN8_36_8,axiom,+ ( p(n8,n3,n8)+ => ~ p(n8,n6,n8) )).++fof(axN8_36_9,axiom,+ ( p(n8,n3,n9)+ => ~ p(n8,n6,n9) )).++fof(axN8_37_1,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n7,n1) )).++fof(axN8_37_2,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n7,n2) )).++fof(axN8_37_3,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n7,n3) )).++fof(axN8_37_4,axiom,+ ( p(n8,n3,n4)+ => ~ p(n8,n7,n4) )).++fof(axN8_37_5,axiom,+ ( p(n8,n3,n5)+ => ~ p(n8,n7,n5) )).++fof(axN8_37_6,axiom,+ ( p(n8,n3,n6)+ => ~ p(n8,n7,n6) )).++fof(axN8_37_7,axiom,+ ( p(n8,n3,n7)+ => ~ p(n8,n7,n7) )).++fof(axN8_37_8,axiom,+ ( p(n8,n3,n8)+ => ~ p(n8,n7,n8) )).++fof(axN8_37_9,axiom,+ ( p(n8,n3,n9)+ => ~ p(n8,n7,n9) )).++fof(axN8_38_1,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n8,n1) )).++fof(axN8_38_2,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n8,n2) )).++fof(axN8_38_3,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n8,n3) )).++fof(axN8_38_4,axiom,+ ( p(n8,n3,n4)+ => ~ p(n8,n8,n4) )).++fof(axN8_38_5,axiom,+ ( p(n8,n3,n5)+ => ~ p(n8,n8,n5) )).++fof(axN8_38_6,axiom,+ ( p(n8,n3,n6)+ => ~ p(n8,n8,n6) )).++fof(axN8_38_7,axiom,+ ( p(n8,n3,n7)+ => ~ p(n8,n8,n7) )).++fof(axN8_38_8,axiom,+ ( p(n8,n3,n8)+ => ~ p(n8,n8,n8) )).++fof(axN8_38_9,axiom,+ ( p(n8,n3,n9)+ => ~ p(n8,n8,n9) )).++fof(axN8_39_1,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n9,n1) )).++fof(axN8_39_2,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n9,n2) )).++fof(axN8_39_3,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n9,n3) )).++fof(axN8_39_4,axiom,+ ( p(n8,n3,n4)+ => ~ p(n8,n9,n4) )).++fof(axN8_39_5,axiom,+ ( p(n8,n3,n5)+ => ~ p(n8,n9,n5) )).++fof(axN8_39_6,axiom,+ ( p(n8,n3,n6)+ => ~ p(n8,n9,n6) )).++fof(axN8_39_7,axiom,+ ( p(n8,n3,n7)+ => ~ p(n8,n9,n7) )).++fof(axN8_39_8,axiom,+ ( p(n8,n3,n8)+ => ~ p(n8,n9,n8) )).++fof(axN8_39_9,axiom,+ ( p(n8,n3,n9)+ => ~ p(n8,n9,n9) )).++fof(axN8_45_1,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n5,n1) )).++fof(axN8_45_2,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n5,n2) )).++fof(axN8_45_3,axiom,+ ( p(n8,n4,n3)+ => ~ p(n8,n5,n3) )).++fof(axN8_45_4,axiom,+ ( p(n8,n4,n4)+ => ~ p(n8,n5,n4) )).++fof(axN8_45_5,axiom,+ ( p(n8,n4,n5)+ => ~ p(n8,n5,n5) )).++fof(axN8_45_6,axiom,+ ( p(n8,n4,n6)+ => ~ p(n8,n5,n6) )).++fof(axN8_45_7,axiom,+ ( p(n8,n4,n7)+ => ~ p(n8,n5,n7) )).++fof(axN8_45_8,axiom,+ ( p(n8,n4,n8)+ => ~ p(n8,n5,n8) )).++fof(axN8_45_9,axiom,+ ( p(n8,n4,n9)+ => ~ p(n8,n5,n9) )).++fof(axN8_46_1,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n6,n1) )).++fof(axN8_46_2,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n6,n2) )).++fof(axN8_46_3,axiom,+ ( p(n8,n4,n3)+ => ~ p(n8,n6,n3) )).++fof(axN8_46_4,axiom,+ ( p(n8,n4,n4)+ => ~ p(n8,n6,n4) )).++fof(axN8_46_5,axiom,+ ( p(n8,n4,n5)+ => ~ p(n8,n6,n5) )).++fof(axN8_46_6,axiom,+ ( p(n8,n4,n6)+ => ~ p(n8,n6,n6) )).++fof(axN8_46_7,axiom,+ ( p(n8,n4,n7)+ => ~ p(n8,n6,n7) )).++fof(axN8_46_8,axiom,+ ( p(n8,n4,n8)+ => ~ p(n8,n6,n8) )).++fof(axN8_46_9,axiom,+ ( p(n8,n4,n9)+ => ~ p(n8,n6,n9) )).++fof(axN8_47_1,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n7,n1) )).++fof(axN8_47_2,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n7,n2) )).++fof(axN8_47_3,axiom,+ ( p(n8,n4,n3)+ => ~ p(n8,n7,n3) )).++fof(axN8_47_4,axiom,+ ( p(n8,n4,n4)+ => ~ p(n8,n7,n4) )).++fof(axN8_47_5,axiom,+ ( p(n8,n4,n5)+ => ~ p(n8,n7,n5) )).++fof(axN8_47_6,axiom,+ ( p(n8,n4,n6)+ => ~ p(n8,n7,n6) )).++fof(axN8_47_7,axiom,+ ( p(n8,n4,n7)+ => ~ p(n8,n7,n7) )).++fof(axN8_47_8,axiom,+ ( p(n8,n4,n8)+ => ~ p(n8,n7,n8) )).++fof(axN8_47_9,axiom,+ ( p(n8,n4,n9)+ => ~ p(n8,n7,n9) )).++fof(axN8_48_1,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n8,n1) )).++fof(axN8_48_2,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n8,n2) )).++fof(axN8_48_3,axiom,+ ( p(n8,n4,n3)+ => ~ p(n8,n8,n3) )).++fof(axN8_48_4,axiom,+ ( p(n8,n4,n4)+ => ~ p(n8,n8,n4) )).++fof(axN8_48_5,axiom,+ ( p(n8,n4,n5)+ => ~ p(n8,n8,n5) )).++fof(axN8_48_6,axiom,+ ( p(n8,n4,n6)+ => ~ p(n8,n8,n6) )).++fof(axN8_48_7,axiom,+ ( p(n8,n4,n7)+ => ~ p(n8,n8,n7) )).++fof(axN8_48_8,axiom,+ ( p(n8,n4,n8)+ => ~ p(n8,n8,n8) )).++fof(axN8_48_9,axiom,+ ( p(n8,n4,n9)+ => ~ p(n8,n8,n9) )).++fof(axN8_49_1,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n9,n1) )).++fof(axN8_49_2,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n9,n2) )).++fof(axN8_49_3,axiom,+ ( p(n8,n4,n3)+ => ~ p(n8,n9,n3) )).++fof(axN8_49_4,axiom,+ ( p(n8,n4,n4)+ => ~ p(n8,n9,n4) )).++fof(axN8_49_5,axiom,+ ( p(n8,n4,n5)+ => ~ p(n8,n9,n5) )).++fof(axN8_49_6,axiom,+ ( p(n8,n4,n6)+ => ~ p(n8,n9,n6) )).++fof(axN8_49_7,axiom,+ ( p(n8,n4,n7)+ => ~ p(n8,n9,n7) )).++fof(axN8_49_8,axiom,+ ( p(n8,n4,n8)+ => ~ p(n8,n9,n8) )).++fof(axN8_49_9,axiom,+ ( p(n8,n4,n9)+ => ~ p(n8,n9,n9) )).++fof(axN8_56_1,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n6,n1) )).++fof(axN8_56_2,axiom,+ ( p(n8,n5,n2)+ => ~ p(n8,n6,n2) )).++fof(axN8_56_3,axiom,+ ( p(n8,n5,n3)+ => ~ p(n8,n6,n3) )).++fof(axN8_56_4,axiom,+ ( p(n8,n5,n4)+ => ~ p(n8,n6,n4) )).++fof(axN8_56_5,axiom,+ ( p(n8,n5,n5)+ => ~ p(n8,n6,n5) )).++fof(axN8_56_6,axiom,+ ( p(n8,n5,n6)+ => ~ p(n8,n6,n6) )).++fof(axN8_56_7,axiom,+ ( p(n8,n5,n7)+ => ~ p(n8,n6,n7) )).++fof(axN8_56_8,axiom,+ ( p(n8,n5,n8)+ => ~ p(n8,n6,n8) )).++fof(axN8_56_9,axiom,+ ( p(n8,n5,n9)+ => ~ p(n8,n6,n9) )).++fof(axN8_57_1,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n7,n1) )).++fof(axN8_57_2,axiom,+ ( p(n8,n5,n2)+ => ~ p(n8,n7,n2) )).++fof(axN8_57_3,axiom,+ ( p(n8,n5,n3)+ => ~ p(n8,n7,n3) )).++fof(axN8_57_4,axiom,+ ( p(n8,n5,n4)+ => ~ p(n8,n7,n4) )).++fof(axN8_57_5,axiom,+ ( p(n8,n5,n5)+ => ~ p(n8,n7,n5) )).++fof(axN8_57_6,axiom,+ ( p(n8,n5,n6)+ => ~ p(n8,n7,n6) )).++fof(axN8_57_7,axiom,+ ( p(n8,n5,n7)+ => ~ p(n8,n7,n7) )).++fof(axN8_57_8,axiom,+ ( p(n8,n5,n8)+ => ~ p(n8,n7,n8) )).++fof(axN8_57_9,axiom,+ ( p(n8,n5,n9)+ => ~ p(n8,n7,n9) )).++fof(axN8_58_1,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n8,n1) )).++fof(axN8_58_2,axiom,+ ( p(n8,n5,n2)+ => ~ p(n8,n8,n2) )).++fof(axN8_58_3,axiom,+ ( p(n8,n5,n3)+ => ~ p(n8,n8,n3) )).++fof(axN8_58_4,axiom,+ ( p(n8,n5,n4)+ => ~ p(n8,n8,n4) )).++fof(axN8_58_5,axiom,+ ( p(n8,n5,n5)+ => ~ p(n8,n8,n5) )).++fof(axN8_58_6,axiom,+ ( p(n8,n5,n6)+ => ~ p(n8,n8,n6) )).++fof(axN8_58_7,axiom,+ ( p(n8,n5,n7)+ => ~ p(n8,n8,n7) )).++fof(axN8_58_8,axiom,+ ( p(n8,n5,n8)+ => ~ p(n8,n8,n8) )).++fof(axN8_58_9,axiom,+ ( p(n8,n5,n9)+ => ~ p(n8,n8,n9) )).++fof(axN8_59_1,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n9,n1) )).++fof(axN8_59_2,axiom,+ ( p(n8,n5,n2)+ => ~ p(n8,n9,n2) )).++fof(axN8_59_3,axiom,+ ( p(n8,n5,n3)+ => ~ p(n8,n9,n3) )).++fof(axN8_59_4,axiom,+ ( p(n8,n5,n4)+ => ~ p(n8,n9,n4) )).++fof(axN8_59_5,axiom,+ ( p(n8,n5,n5)+ => ~ p(n8,n9,n5) )).++fof(axN8_59_6,axiom,+ ( p(n8,n5,n6)+ => ~ p(n8,n9,n6) )).++fof(axN8_59_7,axiom,+ ( p(n8,n5,n7)+ => ~ p(n8,n9,n7) )).++fof(axN8_59_8,axiom,+ ( p(n8,n5,n8)+ => ~ p(n8,n9,n8) )).++fof(axN8_59_9,axiom,+ ( p(n8,n5,n9)+ => ~ p(n8,n9,n9) )).++fof(axN8_67_1,axiom,+ ( p(n8,n6,n1)+ => ~ p(n8,n7,n1) )).++fof(axN8_67_2,axiom,+ ( p(n8,n6,n2)+ => ~ p(n8,n7,n2) )).++fof(axN8_67_3,axiom,+ ( p(n8,n6,n3)+ => ~ p(n8,n7,n3) )).++fof(axN8_67_4,axiom,+ ( p(n8,n6,n4)+ => ~ p(n8,n7,n4) )).++fof(axN8_67_5,axiom,+ ( p(n8,n6,n5)+ => ~ p(n8,n7,n5) )).++fof(axN8_67_6,axiom,+ ( p(n8,n6,n6)+ => ~ p(n8,n7,n6) )).++fof(axN8_67_7,axiom,+ ( p(n8,n6,n7)+ => ~ p(n8,n7,n7) )).++fof(axN8_67_8,axiom,+ ( p(n8,n6,n8)+ => ~ p(n8,n7,n8) )).++fof(axN8_67_9,axiom,+ ( p(n8,n6,n9)+ => ~ p(n8,n7,n9) )).++fof(axN8_68_1,axiom,+ ( p(n8,n6,n1)+ => ~ p(n8,n8,n1) )).++fof(axN8_68_2,axiom,+ ( p(n8,n6,n2)+ => ~ p(n8,n8,n2) )).++fof(axN8_68_3,axiom,+ ( p(n8,n6,n3)+ => ~ p(n8,n8,n3) )).++fof(axN8_68_4,axiom,+ ( p(n8,n6,n4)+ => ~ p(n8,n8,n4) )).++fof(axN8_68_5,axiom,+ ( p(n8,n6,n5)+ => ~ p(n8,n8,n5) )).++fof(axN8_68_6,axiom,+ ( p(n8,n6,n6)+ => ~ p(n8,n8,n6) )).++fof(axN8_68_7,axiom,+ ( p(n8,n6,n7)+ => ~ p(n8,n8,n7) )).++fof(axN8_68_8,axiom,+ ( p(n8,n6,n8)+ => ~ p(n8,n8,n8) )).++fof(axN8_68_9,axiom,+ ( p(n8,n6,n9)+ => ~ p(n8,n8,n9) )).++fof(axN8_69_1,axiom,+ ( p(n8,n6,n1)+ => ~ p(n8,n9,n1) )).++fof(axN8_69_2,axiom,+ ( p(n8,n6,n2)+ => ~ p(n8,n9,n2) )).++fof(axN8_69_3,axiom,+ ( p(n8,n6,n3)+ => ~ p(n8,n9,n3) )).++fof(axN8_69_4,axiom,+ ( p(n8,n6,n4)+ => ~ p(n8,n9,n4) )).++fof(axN8_69_5,axiom,+ ( p(n8,n6,n5)+ => ~ p(n8,n9,n5) )).++fof(axN8_69_6,axiom,+ ( p(n8,n6,n6)+ => ~ p(n8,n9,n6) )).++fof(axN8_69_7,axiom,+ ( p(n8,n6,n7)+ => ~ p(n8,n9,n7) )).++fof(axN8_69_8,axiom,+ ( p(n8,n6,n8)+ => ~ p(n8,n9,n8) )).++fof(axN8_69_9,axiom,+ ( p(n8,n6,n9)+ => ~ p(n8,n9,n9) )).++fof(axN8_78_1,axiom,+ ( p(n8,n7,n1)+ => ~ p(n8,n8,n1) )).++fof(axN8_78_2,axiom,+ ( p(n8,n7,n2)+ => ~ p(n8,n8,n2) )).++fof(axN8_78_3,axiom,+ ( p(n8,n7,n3)+ => ~ p(n8,n8,n3) )).++fof(axN8_78_4,axiom,+ ( p(n8,n7,n4)+ => ~ p(n8,n8,n4) )).++fof(axN8_78_5,axiom,+ ( p(n8,n7,n5)+ => ~ p(n8,n8,n5) )).++fof(axN8_78_6,axiom,+ ( p(n8,n7,n6)+ => ~ p(n8,n8,n6) )).++fof(axN8_78_7,axiom,+ ( p(n8,n7,n7)+ => ~ p(n8,n8,n7) )).++fof(axN8_78_8,axiom,+ ( p(n8,n7,n8)+ => ~ p(n8,n8,n8) )).++fof(axN8_78_9,axiom,+ ( p(n8,n7,n9)+ => ~ p(n8,n8,n9) )).++fof(axN8_79_1,axiom,+ ( p(n8,n7,n1)+ => ~ p(n8,n9,n1) )).++fof(axN8_79_2,axiom,+ ( p(n8,n7,n2)+ => ~ p(n8,n9,n2) )).++fof(axN8_79_3,axiom,+ ( p(n8,n7,n3)+ => ~ p(n8,n9,n3) )).++fof(axN8_79_4,axiom,+ ( p(n8,n7,n4)+ => ~ p(n8,n9,n4) )).++fof(axN8_79_5,axiom,+ ( p(n8,n7,n5)+ => ~ p(n8,n9,n5) )).++fof(axN8_79_6,axiom,+ ( p(n8,n7,n6)+ => ~ p(n8,n9,n6) )).++fof(axN8_79_7,axiom,+ ( p(n8,n7,n7)+ => ~ p(n8,n9,n7) )).++fof(axN8_79_8,axiom,+ ( p(n8,n7,n8)+ => ~ p(n8,n9,n8) )).++fof(axN8_79_9,axiom,+ ( p(n8,n7,n9)+ => ~ p(n8,n9,n9) )).++fof(axN8_89_1,axiom,+ ( p(n8,n8,n1)+ => ~ p(n8,n9,n1) )).++fof(axN8_89_2,axiom,+ ( p(n8,n8,n2)+ => ~ p(n8,n9,n2) )).++fof(axN8_89_3,axiom,+ ( p(n8,n8,n3)+ => ~ p(n8,n9,n3) )).++fof(axN8_89_4,axiom,+ ( p(n8,n8,n4)+ => ~ p(n8,n9,n4) )).++fof(axN8_89_5,axiom,+ ( p(n8,n8,n5)+ => ~ p(n8,n9,n5) )).++fof(axN8_89_6,axiom,+ ( p(n8,n8,n6)+ => ~ p(n8,n9,n6) )).++fof(axN8_89_7,axiom,+ ( p(n8,n8,n7)+ => ~ p(n8,n9,n7) )).++fof(axN8_89_8,axiom,+ ( p(n8,n8,n8)+ => ~ p(n8,n9,n8) )).++fof(axN8_89_9,axiom,+ ( p(n8,n8,n9)+ => ~ p(n8,n9,n9) )).++fof(axN9_12_1,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n2,n1) )).++fof(axN9_12_2,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n2,n2) )).++fof(axN9_12_3,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n2,n3) )).++fof(axN9_12_4,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n2,n4) )).++fof(axN9_12_5,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n2,n5) )).++fof(axN9_12_6,axiom,+ ( p(n9,n1,n6)+ => ~ p(n9,n2,n6) )).++fof(axN9_12_7,axiom,+ ( p(n9,n1,n7)+ => ~ p(n9,n2,n7) )).++fof(axN9_12_8,axiom,+ ( p(n9,n1,n8)+ => ~ p(n9,n2,n8) )).++fof(axN9_12_9,axiom,+ ( p(n9,n1,n9)+ => ~ p(n9,n2,n9) )).++fof(axN9_13_1,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n3,n1) )).++fof(axN9_13_2,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n3,n2) )).++fof(axN9_13_3,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n3,n3) )).++fof(axN9_13_4,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n3,n4) )).++fof(axN9_13_5,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n3,n5) )).++fof(axN9_13_6,axiom,+ ( p(n9,n1,n6)+ => ~ p(n9,n3,n6) )).++fof(axN9_13_7,axiom,+ ( p(n9,n1,n7)+ => ~ p(n9,n3,n7) )).++fof(axN9_13_8,axiom,+ ( p(n9,n1,n8)+ => ~ p(n9,n3,n8) )).++fof(axN9_13_9,axiom,+ ( p(n9,n1,n9)+ => ~ p(n9,n3,n9) )).++fof(axN9_14_1,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n4,n1) )).++fof(axN9_14_2,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n4,n2) )).++fof(axN9_14_3,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n4,n3) )).++fof(axN9_14_4,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n4,n4) )).++fof(axN9_14_5,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n4,n5) )).++fof(axN9_14_6,axiom,+ ( p(n9,n1,n6)+ => ~ p(n9,n4,n6) )).++fof(axN9_14_7,axiom,+ ( p(n9,n1,n7)+ => ~ p(n9,n4,n7) )).++fof(axN9_14_8,axiom,+ ( p(n9,n1,n8)+ => ~ p(n9,n4,n8) )).++fof(axN9_14_9,axiom,+ ( p(n9,n1,n9)+ => ~ p(n9,n4,n9) )).++fof(axN9_15_1,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n5,n1) )).++fof(axN9_15_2,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n5,n2) )).++fof(axN9_15_3,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n5,n3) )).++fof(axN9_15_4,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n5,n4) )).++fof(axN9_15_5,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n5,n5) )).++fof(axN9_15_6,axiom,+ ( p(n9,n1,n6)+ => ~ p(n9,n5,n6) )).++fof(axN9_15_7,axiom,+ ( p(n9,n1,n7)+ => ~ p(n9,n5,n7) )).++fof(axN9_15_8,axiom,+ ( p(n9,n1,n8)+ => ~ p(n9,n5,n8) )).++fof(axN9_15_9,axiom,+ ( p(n9,n1,n9)+ => ~ p(n9,n5,n9) )).++fof(axN9_16_1,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n6,n1) )).++fof(axN9_16_2,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n6,n2) )).++fof(axN9_16_3,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n6,n3) )).++fof(axN9_16_4,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n6,n4) )).++fof(axN9_16_5,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n6,n5) )).++fof(axN9_16_6,axiom,+ ( p(n9,n1,n6)+ => ~ p(n9,n6,n6) )).++fof(axN9_16_7,axiom,+ ( p(n9,n1,n7)+ => ~ p(n9,n6,n7) )).++fof(axN9_16_8,axiom,+ ( p(n9,n1,n8)+ => ~ p(n9,n6,n8) )).++fof(axN9_16_9,axiom,+ ( p(n9,n1,n9)+ => ~ p(n9,n6,n9) )).++fof(axN9_17_1,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n7,n1) )).++fof(axN9_17_2,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n7,n2) )).++fof(axN9_17_3,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n7,n3) )).++fof(axN9_17_4,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n7,n4) )).++fof(axN9_17_5,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n7,n5) )).++fof(axN9_17_6,axiom,+ ( p(n9,n1,n6)+ => ~ p(n9,n7,n6) )).++fof(axN9_17_7,axiom,+ ( p(n9,n1,n7)+ => ~ p(n9,n7,n7) )).++fof(axN9_17_8,axiom,+ ( p(n9,n1,n8)+ => ~ p(n9,n7,n8) )).++fof(axN9_17_9,axiom,+ ( p(n9,n1,n9)+ => ~ p(n9,n7,n9) )).++fof(axN9_18_1,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n8,n1) )).++fof(axN9_18_2,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n8,n2) )).++fof(axN9_18_3,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n8,n3) )).++fof(axN9_18_4,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n8,n4) )).++fof(axN9_18_5,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n8,n5) )).++fof(axN9_18_6,axiom,+ ( p(n9,n1,n6)+ => ~ p(n9,n8,n6) )).++fof(axN9_18_7,axiom,+ ( p(n9,n1,n7)+ => ~ p(n9,n8,n7) )).++fof(axN9_18_8,axiom,+ ( p(n9,n1,n8)+ => ~ p(n9,n8,n8) )).++fof(axN9_18_9,axiom,+ ( p(n9,n1,n9)+ => ~ p(n9,n8,n9) )).++fof(axN9_19_1,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n9,n1) )).++fof(axN9_19_2,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n9,n2) )).++fof(axN9_19_3,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n9,n3) )).++fof(axN9_19_4,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n9,n4) )).++fof(axN9_19_5,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n9,n5) )).++fof(axN9_19_6,axiom,+ ( p(n9,n1,n6)+ => ~ p(n9,n9,n6) )).++fof(axN9_19_7,axiom,+ ( p(n9,n1,n7)+ => ~ p(n9,n9,n7) )).++fof(axN9_198,axiom,+ ( p(n9,n1,n8)+ => ~ p(n9,n9,n8) )).++fof(axN9_19_9,axiom,+ ( p(n9,n1,n9)+ => ~ p(n9,n9,n9) )).++fof(axN9_23_1,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n3,n1) )).++fof(axN9_23_2,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n3,n2) )).++fof(axN9_23_3,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n3,n3) )).++fof(axN9_23_4,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n3,n4) )).++fof(axN9_23_5,axiom,+ ( p(n9,n2,n5)+ => ~ p(n9,n3,n5) )).++fof(axN9_23_6,axiom,+ ( p(n9,n2,n6)+ => ~ p(n9,n3,n6) )).++fof(axN9_23_7,axiom,+ ( p(n9,n2,n7)+ => ~ p(n9,n3,n7) )).++fof(axN9_23_8,axiom,+ ( p(n9,n2,n8)+ => ~ p(n9,n3,n8) )).++fof(axN9_23_9,axiom,+ ( p(n9,n2,n9)+ => ~ p(n9,n3,n9) )).++fof(axN9_24_1,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n4,n1) )).++fof(axN9_24_2,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n4,n2) )).++fof(axN9_24_3,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n4,n3) )).++fof(axN9_24_4,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n4,n4) )).++fof(axN9_24_5,axiom,+ ( p(n9,n2,n5)+ => ~ p(n9,n4,n5) )).++fof(axN9_24_6,axiom,+ ( p(n9,n2,n6)+ => ~ p(n9,n4,n6) )).++fof(axN9_24_7,axiom,+ ( p(n9,n2,n7)+ => ~ p(n9,n4,n7) )).++fof(axN9_24_8,axiom,+ ( p(n9,n2,n8)+ => ~ p(n9,n4,n8) )).++fof(axN9_24_9,axiom,+ ( p(n9,n2,n9)+ => ~ p(n9,n4,n9) )).++fof(axN9_25_1,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n5,n1) )).++fof(axN9_25_2,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n5,n2) )).++fof(axN9_25_3,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n5,n3) )).++fof(axN9_25_4,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n5,n4) )).++fof(axN9_25_5,axiom,+ ( p(n9,n2,n5)+ => ~ p(n9,n5,n5) )).++fof(axN9_25_6,axiom,+ ( p(n9,n2,n6)+ => ~ p(n9,n5,n6) )).++fof(axN9_25_7,axiom,+ ( p(n9,n2,n7)+ => ~ p(n9,n5,n7) )).++fof(axN9_25_8,axiom,+ ( p(n9,n2,n8)+ => ~ p(n9,n5,n8) )).++fof(axN9_25_9,axiom,+ ( p(n9,n2,n9)+ => ~ p(n9,n5,n9) )).++fof(axN9_26_1,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n6,n1) )).++fof(axN9_26_2,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n6,n2) )).++fof(axN9_26_3,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n6,n3) )).++fof(axN9_26_4,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n6,n4) )).++fof(axN9_26_5,axiom,+ ( p(n9,n2,n5)+ => ~ p(n9,n6,n5) )).++fof(axN9_26_6,axiom,+ ( p(n9,n2,n6)+ => ~ p(n9,n6,n6) )).++fof(axN9_26_7,axiom,+ ( p(n9,n2,n7)+ => ~ p(n9,n6,n7) )).++fof(axN9_26_8,axiom,+ ( p(n9,n2,n8)+ => ~ p(n9,n6,n8) )).++fof(axN9_26_9,axiom,+ ( p(n9,n2,n9)+ => ~ p(n9,n6,n9) )).++fof(axN9_27_1,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n7,n1) )).++fof(axN9_27_2,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n7,n2) )).++fof(axN9_27_3,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n7,n3) )).++fof(axN9_27_4,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n7,n4) )).++fof(axN9_27_5,axiom,+ ( p(n9,n2,n5)+ => ~ p(n9,n7,n5) )).++fof(axN9_27_6,axiom,+ ( p(n9,n2,n6)+ => ~ p(n9,n7,n6) )).++fof(axN9_27_7,axiom,+ ( p(n9,n2,n7)+ => ~ p(n9,n7,n7) )).++fof(axN9_27_8,axiom,+ ( p(n9,n2,n8)+ => ~ p(n9,n7,n8) )).++fof(axN9_27_9,axiom,+ ( p(n9,n2,n9)+ => ~ p(n9,n7,n9) )).++fof(axN9_28_1,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n8,n1) )).++fof(axN9_28_2,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n8,n2) )).++fof(axN9_28_3,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n8,n3) )).++fof(axN9_28_4,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n8,n4) )).++fof(axN9_28_5,axiom,+ ( p(n9,n2,n5)+ => ~ p(n9,n8,n5) )).++fof(axN9_28_6,axiom,+ ( p(n9,n2,n6)+ => ~ p(n9,n8,n6) )).++fof(axN9_28_7,axiom,+ ( p(n9,n2,n7)+ => ~ p(n9,n8,n7) )).++fof(axN9_28_8,axiom,+ ( p(n9,n2,n8)+ => ~ p(n9,n8,n8) )).++fof(axN9_28_9,axiom,+ ( p(n9,n2,n9)+ => ~ p(n9,n8,n9) )).++fof(axN9_29_1,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n9,n1) )).++fof(axN9_29_2,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n9,n2) )).++fof(axN9_29_3,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n9,n3) )).++fof(axN9_29_4,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n9,n4) )).++fof(axN9_29_5,axiom,+ ( p(n9,n2,n5)+ => ~ p(n9,n9,n5) )).++fof(axN9_29_6,axiom,+ ( p(n9,n2,n6)+ => ~ p(n9,n9,n6) )).++fof(axN9_29_7,axiom,+ ( p(n9,n2,n7)+ => ~ p(n9,n9,n7) )).++fof(axN9_29_8,axiom,+ ( p(n9,n2,n8)+ => ~ p(n9,n9,n8) )).++fof(axN9_29_9,axiom,+ ( p(n9,n2,n9)+ => ~ p(n9,n9,n9) )).++fof(axN9_34_1,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n4,n1) )).++fof(axN9_34_2,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n4,n2) )).++fof(axN9_34_3,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n4,n3) )).++fof(axN9_34_4,axiom,+ ( p(n9,n3,n4)+ => ~ p(n9,n4,n4) )).++fof(axN9_34_5,axiom,+ ( p(n9,n3,n5)+ => ~ p(n9,n4,n5) )).++fof(axN9_34_6,axiom,+ ( p(n9,n3,n6)+ => ~ p(n9,n4,n6) )).++fof(axN9_34_7,axiom,+ ( p(n9,n3,n7)+ => ~ p(n9,n4,n7) )).++fof(axN9_34_8,axiom,+ ( p(n9,n3,n8)+ => ~ p(n9,n4,n8) )).++fof(axN9_34_9,axiom,+ ( p(n9,n3,n9)+ => ~ p(n9,n4,n9) )).++fof(axN9_35_1,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n5,n1) )).++fof(axN9_35_2,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n5,n2) )).++fof(axN9_35_3,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n5,n3) )).++fof(axN9_35_4,axiom,+ ( p(n9,n3,n4)+ => ~ p(n9,n5,n4) )).++fof(axN9_35_5,axiom,+ ( p(n9,n3,n5)+ => ~ p(n9,n5,n5) )).++fof(axN9_35_6,axiom,+ ( p(n9,n3,n6)+ => ~ p(n9,n5,n6) )).++fof(axN9_35_7,axiom,+ ( p(n9,n3,n7)+ => ~ p(n9,n5,n7) )).++fof(axN9_35_8,axiom,+ ( p(n9,n3,n8)+ => ~ p(n9,n5,n8) )).++fof(axN9_35_9,axiom,+ ( p(n9,n3,n9)+ => ~ p(n9,n5,n9) )).++fof(axN9_36_1,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n6,n1) )).++fof(axN9_36_2,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n6,n2) )).++fof(axN9_36_3,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n6,n3) )).++fof(axN9_36_4,axiom,+ ( p(n9,n3,n4)+ => ~ p(n9,n6,n4) )).++fof(axN9_36_5,axiom,+ ( p(n9,n3,n5)+ => ~ p(n9,n6,n5) )).++fof(axN9_36_6,axiom,+ ( p(n9,n3,n6)+ => ~ p(n9,n6,n6) )).++fof(axN9_36_7,axiom,+ ( p(n9,n3,n7)+ => ~ p(n9,n6,n7) )).++fof(axN9_36_8,axiom,+ ( p(n9,n3,n8)+ => ~ p(n9,n6,n8) )).++fof(axN9_36_9,axiom,+ ( p(n9,n3,n9)+ => ~ p(n9,n6,n9) )).++fof(axN9_37_1,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n7,n1) )).++fof(axN9_37_2,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n7,n2) )).++fof(axN9_37_3,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n7,n3) )).++fof(axN9_37_4,axiom,+ ( p(n9,n3,n4)+ => ~ p(n9,n7,n4) )).++fof(axN9_37_5,axiom,+ ( p(n9,n3,n5)+ => ~ p(n9,n7,n5) )).++fof(axN9_37_6,axiom,+ ( p(n9,n3,n6)+ => ~ p(n9,n7,n6) )).++fof(axN9_37_7,axiom,+ ( p(n9,n3,n7)+ => ~ p(n9,n7,n7) )).++fof(axN9_37_8,axiom,+ ( p(n9,n3,n8)+ => ~ p(n9,n7,n8) )).++fof(axN9_37_9,axiom,+ ( p(n9,n3,n9)+ => ~ p(n9,n7,n9) )).++fof(axN9_38_1,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n8,n1) )).++fof(axN9_38_2,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n8,n2) )).++fof(axN9_38_3,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n8,n3) )).++fof(axN9_38_4,axiom,+ ( p(n9,n3,n4)+ => ~ p(n9,n8,n4) )).++fof(axN9_38_5,axiom,+ ( p(n9,n3,n5)+ => ~ p(n9,n8,n5) )).++fof(axN9_38_6,axiom,+ ( p(n9,n3,n6)+ => ~ p(n9,n8,n6) )).++fof(axN9_38_7,axiom,+ ( p(n9,n3,n7)+ => ~ p(n9,n8,n7) )).++fof(axN9_38_8,axiom,+ ( p(n9,n3,n8)+ => ~ p(n9,n8,n8) )).++fof(axN9_38_9,axiom,+ ( p(n9,n3,n9)+ => ~ p(n9,n8,n9) )).++fof(axN9_39_1,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n9,n1) )).++fof(axN9_39_2,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n9,n2) )).++fof(axN9_39_3,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n9,n3) )).++fof(axN9_39_4,axiom,+ ( p(n9,n3,n4)+ => ~ p(n9,n9,n4) )).++fof(axN9_39_5,axiom,+ ( p(n9,n3,n5)+ => ~ p(n9,n9,n5) )).++fof(axN9_39_6,axiom,+ ( p(n9,n3,n6)+ => ~ p(n9,n9,n6) )).++fof(axN9_39_7,axiom,+ ( p(n9,n3,n7)+ => ~ p(n9,n9,n7) )).++fof(axN9_39_8,axiom,+ ( p(n9,n3,n8)+ => ~ p(n9,n9,n8) )).++fof(axN9_39_9,axiom,+ ( p(n9,n3,n9)+ => ~ p(n9,n9,n9) )).++fof(axN9_45_1,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n5,n1) )).++fof(axN9_45_2,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n5,n2) )).++fof(axN9_45_3,axiom,+ ( p(n9,n4,n3)+ => ~ p(n9,n5,n3) )).++fof(axN9_45_4,axiom,+ ( p(n9,n4,n4)+ => ~ p(n9,n5,n4) )).++fof(axN9_45_5,axiom,+ ( p(n9,n4,n5)+ => ~ p(n9,n5,n5) )).++fof(axN9_45_6,axiom,+ ( p(n9,n4,n6)+ => ~ p(n9,n5,n6) )).++fof(axN9_45_7,axiom,+ ( p(n9,n4,n7)+ => ~ p(n9,n5,n7) )).++fof(axN9_45_8,axiom,+ ( p(n9,n4,n8)+ => ~ p(n9,n5,n8) )).++fof(axN9_45_9,axiom,+ ( p(n9,n4,n9)+ => ~ p(n9,n5,n9) )).++fof(axN9_46_1,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n6,n1) )).++fof(axN9_46_2,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n6,n2) )).++fof(axN9_46_3,axiom,+ ( p(n9,n4,n3)+ => ~ p(n9,n6,n3) )).++fof(axN9_46_4,axiom,+ ( p(n9,n4,n4)+ => ~ p(n9,n6,n4) )).++fof(axN9_46_5,axiom,+ ( p(n9,n4,n5)+ => ~ p(n9,n6,n5) )).++fof(axN9_46_6,axiom,+ ( p(n9,n4,n6)+ => ~ p(n9,n6,n6) )).++fof(axN9_46_7,axiom,+ ( p(n9,n4,n7)+ => ~ p(n9,n6,n7) )).++fof(axN9_46_8,axiom,+ ( p(n9,n4,n8)+ => ~ p(n9,n6,n8) )).++fof(axN9_46_9,axiom,+ ( p(n9,n4,n9)+ => ~ p(n9,n6,n9) )).++fof(axN9_47_1,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n7,n1) )).++fof(axN9_47_2,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n7,n2) )).++fof(axN9_47_3,axiom,+ ( p(n9,n4,n3)+ => ~ p(n9,n7,n3) )).++fof(axN9_47_4,axiom,+ ( p(n9,n4,n4)+ => ~ p(n9,n7,n4) )).++fof(axN9_47_5,axiom,+ ( p(n9,n4,n5)+ => ~ p(n9,n7,n5) )).++fof(axN9_47_6,axiom,+ ( p(n9,n4,n6)+ => ~ p(n9,n7,n6) )).++fof(axN9_47_7,axiom,+ ( p(n9,n4,n7)+ => ~ p(n9,n7,n7) )).++fof(axN9_47_8,axiom,+ ( p(n9,n4,n8)+ => ~ p(n9,n7,n8) )).++fof(axN9_47_9,axiom,+ ( p(n9,n4,n9)+ => ~ p(n9,n7,n9) )).++fof(axN9_48_1,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n8,n1) )).++fof(axN9_48_2,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n8,n2) )).++fof(axN9_48_3,axiom,+ ( p(n9,n4,n3)+ => ~ p(n9,n8,n3) )).++fof(axN9_48_4,axiom,+ ( p(n9,n4,n4)+ => ~ p(n9,n8,n4) )).++fof(axN9_48_5,axiom,+ ( p(n9,n4,n5)+ => ~ p(n9,n8,n5) )).++fof(axN9_48_6,axiom,+ ( p(n9,n4,n6)+ => ~ p(n9,n8,n6) )).++fof(axN9_48_7,axiom,+ ( p(n9,n4,n7)+ => ~ p(n9,n8,n7) )).++fof(axN9_48_8,axiom,+ ( p(n9,n4,n8)+ => ~ p(n9,n8,n8) )).++fof(axN9_48_9,axiom,+ ( p(n9,n4,n9)+ => ~ p(n9,n8,n9) )).++fof(axN9_49_1,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n9,n1) )).++fof(axN9_49_2,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n9,n2) )).++fof(axN9_49_3,axiom,+ ( p(n9,n4,n3)+ => ~ p(n9,n9,n3) )).++fof(axN9_49_4,axiom,+ ( p(n9,n4,n4)+ => ~ p(n9,n9,n4) )).++fof(axN9_49_5,axiom,+ ( p(n9,n4,n5)+ => ~ p(n9,n9,n5) )).++fof(axN9_49_6,axiom,+ ( p(n9,n4,n6)+ => ~ p(n9,n9,n6) )).++fof(axN9_49_7,axiom,+ ( p(n9,n4,n7)+ => ~ p(n9,n9,n7) )).++fof(axN9_49_8,axiom,+ ( p(n9,n4,n8)+ => ~ p(n9,n9,n8) )).++fof(axN9_49_9,axiom,+ ( p(n9,n4,n9)+ => ~ p(n9,n9,n9) )).++fof(axN9_56_1,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n6,n1) )).++fof(axN9_56_2,axiom,+ ( p(n9,n5,n2)+ => ~ p(n9,n6,n2) )).++fof(axN9_56_3,axiom,+ ( p(n9,n5,n3)+ => ~ p(n9,n6,n3) )).++fof(axN9_56_4,axiom,+ ( p(n9,n5,n4)+ => ~ p(n9,n6,n4) )).++fof(axN9_56_5,axiom,+ ( p(n9,n5,n5)+ => ~ p(n9,n6,n5) )).++fof(axN9_56_6,axiom,+ ( p(n9,n5,n6)+ => ~ p(n9,n6,n6) )).++fof(axN9_56_7,axiom,+ ( p(n9,n5,n7)+ => ~ p(n9,n6,n7) )).++fof(axN9_56_8,axiom,+ ( p(n9,n5,n8)+ => ~ p(n9,n6,n8) )).++fof(axN9_56_9,axiom,+ ( p(n9,n5,n9)+ => ~ p(n9,n6,n9) )).++fof(axN9_57_1,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n7,n1) )).++fof(axN9_57_2,axiom,+ ( p(n9,n5,n2)+ => ~ p(n9,n7,n2) )).++fof(axN9_57_3,axiom,+ ( p(n9,n5,n3)+ => ~ p(n9,n7,n3) )).++fof(axN9_57_4,axiom,+ ( p(n9,n5,n4)+ => ~ p(n9,n7,n4) )).++fof(axN9_57_5,axiom,+ ( p(n9,n5,n5)+ => ~ p(n9,n7,n5) )).++fof(axN9_57_6,axiom,+ ( p(n9,n5,n6)+ => ~ p(n9,n7,n6) )).++fof(axN9_57_7,axiom,+ ( p(n9,n5,n7)+ => ~ p(n9,n7,n7) )).++fof(axN9_57_8,axiom,+ ( p(n9,n5,n8)+ => ~ p(n9,n7,n8) )).++fof(axN9_57_9,axiom,+ ( p(n9,n5,n9)+ => ~ p(n9,n7,n9) )).++fof(axN9_58_1,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n8,n1) )).++fof(axN9_58_2,axiom,+ ( p(n9,n5,n2)+ => ~ p(n9,n8,n2) )).++fof(axN9_58_3,axiom,+ ( p(n9,n5,n3)+ => ~ p(n9,n8,n3) )).++fof(axN9_58_4,axiom,+ ( p(n9,n5,n4)+ => ~ p(n9,n8,n4) )).++fof(axN9_58_5,axiom,+ ( p(n9,n5,n5)+ => ~ p(n9,n8,n5) )).++fof(axN9_58_6,axiom,+ ( p(n9,n5,n6)+ => ~ p(n9,n8,n6) )).++fof(axN9_58_7,axiom,+ ( p(n9,n5,n7)+ => ~ p(n9,n8,n7) )).++fof(axN9_58_8,axiom,+ ( p(n9,n5,n8)+ => ~ p(n9,n8,n8) )).++fof(axN9_58_9,axiom,+ ( p(n9,n5,n9)+ => ~ p(n9,n8,n9) )).++fof(axN9_59_1,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n9,n1) )).++fof(axN9_59_2,axiom,+ ( p(n9,n5,n2)+ => ~ p(n9,n9,n2) )).++fof(axN9_59_3,axiom,+ ( p(n9,n5,n3)+ => ~ p(n9,n9,n3) )).++fof(axN9_59_4,axiom,+ ( p(n9,n5,n4)+ => ~ p(n9,n9,n4) )).++fof(axN9_59_5,axiom,+ ( p(n9,n5,n5)+ => ~ p(n9,n9,n5) )).++fof(axN9_59_6,axiom,+ ( p(n9,n5,n6)+ => ~ p(n9,n9,n6) )).++fof(axN9_59_7,axiom,+ ( p(n9,n5,n7)+ => ~ p(n9,n9,n7) )).++fof(axN9_59_8,axiom,+ ( p(n9,n5,n8)+ => ~ p(n9,n9,n8) )).++fof(axN9_59_9,axiom,+ ( p(n9,n5,n9)+ => ~ p(n9,n9,n9) )).++fof(axN9_67_1,axiom,+ ( p(n9,n6,n1)+ => ~ p(n9,n7,n1) )).++fof(axN9_67_2,axiom,+ ( p(n9,n6,n2)+ => ~ p(n9,n7,n2) )).++fof(axN9_67_3,axiom,+ ( p(n9,n6,n3)+ => ~ p(n9,n7,n3) )).++fof(axN9_67_4,axiom,+ ( p(n9,n6,n4)+ => ~ p(n9,n7,n4) )).++fof(axN9_67_5,axiom,+ ( p(n9,n6,n5)+ => ~ p(n9,n7,n5) )).++fof(axN9_67_6,axiom,+ ( p(n9,n6,n6)+ => ~ p(n9,n7,n6) )).++fof(axN9_67_7,axiom,+ ( p(n9,n6,n7)+ => ~ p(n9,n7,n7) )).++fof(axN9_67_8,axiom,+ ( p(n9,n6,n8)+ => ~ p(n9,n7,n8) )).++fof(axN9_67_9,axiom,+ ( p(n9,n6,n9)+ => ~ p(n9,n7,n9) )).++fof(axN9_68_1,axiom,+ ( p(n9,n6,n1)+ => ~ p(n9,n8,n1) )).++fof(axN9_68_2,axiom,+ ( p(n9,n6,n2)+ => ~ p(n9,n8,n2) )).++fof(axN9_68_3,axiom,+ ( p(n9,n6,n3)+ => ~ p(n9,n8,n3) )).++fof(axN9_68_4,axiom,+ ( p(n9,n6,n4)+ => ~ p(n9,n8,n4) )).++fof(axN9_68_5,axiom,+ ( p(n9,n6,n5)+ => ~ p(n9,n8,n5) )).++fof(axN9_68_6,axiom,+ ( p(n9,n6,n6)+ => ~ p(n9,n8,n6) )).++fof(axN9_68_7,axiom,+ ( p(n9,n6,n7)+ => ~ p(n9,n8,n7) )).++fof(axN9_68_8,axiom,+ ( p(n9,n6,n8)+ => ~ p(n9,n8,n8) )).++fof(axN9_68_9,axiom,+ ( p(n9,n6,n9)+ => ~ p(n9,n8,n9) )).++fof(axN9_69_1,axiom,+ ( p(n9,n6,n1)+ => ~ p(n9,n9,n1) )).++fof(axN9_69_2,axiom,+ ( p(n9,n6,n2)+ => ~ p(n9,n9,n2) )).++fof(axN9_69_3,axiom,+ ( p(n9,n6,n3)+ => ~ p(n9,n9,n3) )).++fof(axN9_69_4,axiom,+ ( p(n9,n6,n4)+ => ~ p(n9,n9,n4) )).++fof(axN9_69_5,axiom,+ ( p(n9,n6,n5)+ => ~ p(n9,n9,n5) )).++fof(axN9_69_6,axiom,+ ( p(n9,n6,n6)+ => ~ p(n9,n9,n6) )).++fof(axN9_69_7,axiom,+ ( p(n9,n6,n7)+ => ~ p(n9,n9,n7) )).++fof(axN9_69_8,axiom,+ ( p(n9,n6,n8)+ => ~ p(n9,n9,n8) )).++fof(axN9_69_9,axiom,+ ( p(n9,n6,n9)+ => ~ p(n9,n9,n9) )).++fof(axN9_78_1,axiom,+ ( p(n9,n7,n1)+ => ~ p(n9,n8,n1) )).++fof(axN9_78_2,axiom,+ ( p(n9,n7,n2)+ => ~ p(n9,n8,n2) )).++fof(axN9_78_3,axiom,+ ( p(n9,n7,n3)+ => ~ p(n9,n8,n3) )).++fof(axN9_78_4,axiom,+ ( p(n9,n7,n4)+ => ~ p(n9,n8,n4) )).++fof(axN9_78_5,axiom,+ ( p(n9,n7,n5)+ => ~ p(n9,n8,n5) )).++fof(axN9_78_6,axiom,+ ( p(n9,n7,n6)+ => ~ p(n9,n8,n6) )).++fof(axN9_78_7,axiom,+ ( p(n9,n7,n7)+ => ~ p(n9,n8,n7) )).++fof(axN9_78_8,axiom,+ ( p(n9,n7,n8)+ => ~ p(n9,n8,n8) )).++fof(axN9_78_9,axiom,+ ( p(n9,n7,n9)+ => ~ p(n9,n8,n9) )).++fof(axN9_79_1,axiom,+ ( p(n9,n7,n1)+ => ~ p(n9,n9,n1) )).++fof(axN9_79_2,axiom,+ ( p(n9,n7,n2)+ => ~ p(n9,n9,n2) )).++fof(axN9_79_3,axiom,+ ( p(n9,n7,n3)+ => ~ p(n9,n9,n3) )).++fof(axN9_79_4,axiom,+ ( p(n9,n7,n4)+ => ~ p(n9,n9,n4) )).++fof(axN9_79_5,axiom,+ ( p(n9,n7,n5)+ => ~ p(n9,n9,n5) )).++fof(axN9_79_6,axiom,+ ( p(n9,n7,n6)+ => ~ p(n9,n9,n6) )).++fof(axN9_79_7,axiom,+ ( p(n9,n7,n7)+ => ~ p(n9,n9,n7) )).++fof(axN9_79_8,axiom,+ ( p(n9,n7,n8)+ => ~ p(n9,n9,n8) )).++fof(axN9_79_9,axiom,+ ( p(n9,n7,n9)+ => ~ p(n9,n9,n9) )).++fof(axN9_89_1,axiom,+ ( p(n9,n8,n1)+ => ~ p(n9,n9,n1) )).++fof(axN9_89_2,axiom,+ ( p(n9,n8,n2)+ => ~ p(n9,n9,n2) )).++fof(axN9_89_3,axiom,+ ( p(n9,n8,n3)+ => ~ p(n9,n9,n3) )).++fof(axN9_89_4,axiom,+ ( p(n9,n8,n4)+ => ~ p(n9,n9,n4) )).++fof(axN9_89_5,axiom,+ ( p(n9,n8,n5)+ => ~ p(n9,n9,n5) )).++fof(axN9_89_6,axiom,+ ( p(n9,n8,n6)+ => ~ p(n9,n9,n6) )).++fof(axN9_89_7,axiom,+ ( p(n9,n8,n7)+ => ~ p(n9,n9,n7) )).++fof(axN9_89_8,axiom,+ ( p(n9,n8,n8)+ => ~ p(n9,n9,n8) )).++fof(axN9_89_9,axiom,+ ( p(n9,n8,n9)+ => ~ p(n9,n9,n9) )).++% Column constraints++fof(axN12_1_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n2,n1,n1) )).++fof(axN12_1_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n2,n1,n2) )).++fof(axN12_1_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n2,n1,n3) )).++fof(axN12_1_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n2,n1,n4) )).++fof(axN12_1_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n2,n1,n5) )).++fof(axN12_1_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n2,n1,n6) )).++fof(axN12_1_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n2,n1,n7) )).++fof(axN12_1_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n2,n1,n8) )).++fof(axN12_1_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n2,n1,n9) )).++fof(axN13_1_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n3,n1,n1) )).++fof(axN13_1_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n3,n1,n2) )).++fof(axN13_1_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n3,n1,n3) )).++fof(axN13_1_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n3,n1,n4) )).++fof(axN13_1_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n3,n1,n5) )).++fof(axN13_1_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n3,n1,n6) )).++fof(axN13_1_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n3,n1,n7) )).++fof(axN13_1_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n3,n1,n8) )).++fof(axN13_1_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n3,n1,n9) )).++fof(axN14_1_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n4,n1,n1) )).++fof(axN14_1_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n4,n1,n2) )).++fof(axN14_1_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n4,n1,n3) )).++fof(axN14_1_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n4,n1,n4) )).++fof(axN14_1_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n4,n1,n5) )).++fof(axN14_1_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n4,n1,n6) )).++fof(axN14_1_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n4,n1,n7) )).++fof(axN14_1_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n4,n1,n8) )).++fof(axN14_1_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n4,n1,n9) )).++fof(axN15_1_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n5,n1,n1) )).++fof(axN15_1_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n5,n1,n2) )).++fof(axN15_1_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n5,n1,n3) )).++fof(axN15_1_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n5,n1,n4) )).++fof(axN15_1_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n5,n1,n5) )).++fof(axN15_1_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n5,n1,n6) )).++fof(axN15_1_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n5,n1,n7) )).++fof(axN15_1_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n5,n1,n8) )).++fof(axN15_1_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n5,n1,n9) )).++fof(axN16_1_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n6,n1,n1) )).++fof(axN16_1_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n6,n1,n2) )).++fof(axN16_1_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n6,n1,n3) )).++fof(axN16_1_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n6,n1,n4) )).++fof(axN16_1_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n6,n1,n5) )).++fof(axN16_1_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n6,n1,n6) )).++fof(axN16_1_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n6,n1,n7) )).++fof(axN16_1_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n6,n1,n8) )).++fof(axN16_1_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n6,n1,n9) )).++fof(axN17_1_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n7,n1,n1) )).++fof(axN17_1_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n7,n1,n2) )).++fof(axN17_1_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n7,n1,n3) )).++fof(axN17_1_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n7,n1,n4) )).++fof(axN17_1_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n7,n1,n5) )).++fof(axN17_1_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n7,n1,n6) )).++fof(axN17_1_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n7,n1,n7) )).++fof(axN17_1_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n7,n1,n8) )).++fof(axN17_1_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n7,n1,n9) )).++fof(axN18_1_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n8,n1,n1) )).++fof(axN18_1_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n8,n1,n2) )).++fof(axN18_1_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n8,n1,n3) )).++fof(axN18_1_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n8,n1,n4) )).++fof(axN18_1_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n8,n1,n5) )).++fof(axN18_1_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n8,n1,n6) )).++fof(axN18_1_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n8,n1,n7) )).++fof(axN18_1_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n8,n1,n8) )).++fof(axN18_1_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n8,n1,n9) )).++fof(axN19_1_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n9,n1,n1) )).++fof(axN19_1_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n9,n1,n2) )).++fof(axN19_1_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n9,n1,n3) )).++fof(axN19_1_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n9,n1,n4) )).++fof(axN19_1_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n9,n1,n5) )).++fof(axN19_1_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n9,n1,n6) )).++fof(axN19_1_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n9,n1,n7) )).++fof(axN19_1_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n9,n1,n8) )).++fof(axN19_1_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n9,n1,n9) )).++fof(axN23_1_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n3,n1,n1) )).++fof(axN23_1_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n3,n1,n2) )).++fof(axN23_1_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n3,n1,n3) )).++fof(axN23_1_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n3,n1,n4) )).++fof(axN23_1_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n3,n1,n5) )).++fof(axN23_1_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n3,n1,n6) )).++fof(axN23_1_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n3,n1,n7) )).++fof(axN23_1_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n3,n1,n8) )).++fof(axN23_1_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n3,n1,n9) )).++fof(axN24_1_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n4,n1,n1) )).++fof(axN24_1_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n4,n1,n2) )).++fof(axN24_1_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n4,n1,n3) )).++fof(axN24_1_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n4,n1,n4) )).++fof(axN24_1_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n4,n1,n5) )).++fof(axN24_1_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n4,n1,n6) )).++fof(axN24_1_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n4,n1,n7) )).++fof(axN24_1_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n4,n1,n8) )).++fof(axN24_1_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n4,n1,n9) )).++fof(axN25_1_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n5,n1,n1) )).++fof(axN25_1_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n5,n1,n2) )).++fof(axN25_1_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n5,n1,n3) )).++fof(axN25_1_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n5,n1,n4) )).++fof(axN25_1_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n5,n1,n5) )).++fof(axN25_1_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n5,n1,n6) )).++fof(axN25_1_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n5,n1,n7) )).++fof(axN25_1_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n5,n1,n8) )).++fof(axN25_1_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n5,n1,n9) )).++fof(axN26_1_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n6,n1,n1) )).++fof(axN26_1_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n6,n1,n2) )).++fof(axN26_1_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n6,n1,n3) )).++fof(axN26_1_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n6,n1,n4) )).++fof(axN26_1_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n6,n1,n5) )).++fof(axN26_1_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n6,n1,n6) )).++fof(axN26_1_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n6,n1,n7) )).++fof(axN26_1_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n6,n1,n8) )).++fof(axN26_1_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n6,n1,n9) )).++fof(axN27_1_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n7,n1,n1) )).++fof(axN27_1_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n7,n1,n2) )).++fof(axN27_1_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n7,n1,n3) )).++fof(axN27_1_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n7,n1,n4) )).++fof(axN27_1_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n7,n1,n5) )).++fof(axN27_1_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n7,n1,n6) )).++fof(axN27_1_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n7,n1,n7) )).++fof(axN27_1_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n7,n1,n8) )).++fof(axN27_1_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n7,n1,n9) )).++fof(axN28_1_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n8,n1,n1) )).++fof(axN28_1_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n8,n1,n2) )).++fof(axN28_1_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n8,n1,n3) )).++fof(axN28_1_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n8,n1,n4) )).++fof(axN28_1_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n8,n1,n5) )).++fof(axN28_1_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n8,n1,n6) )).++fof(axN28_1_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n8,n1,n7) )).++fof(axN28_1_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n8,n1,n8) )).++fof(axN28_1_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n8,n1,n9) )).++fof(axN29_1_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n9,n1,n1) )).++fof(axN29_1_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n9,n1,n2) )).++fof(axN29_1_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n9,n1,n3) )).++fof(axN29_1_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n9,n1,n4) )).++fof(axN29_1_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n9,n1,n5) )).++fof(axN29_1_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n9,n1,n6) )).++fof(axN29_1_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n9,n1,n7) )).++fof(axN29_1_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n9,n1,n8) )).++fof(axN29_1_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n9,n1,n9) )).++fof(axN34_1_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n4,n1,n1) )).++fof(axN34_1_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n4,n1,n2) )).++fof(axN34_1_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n4,n1,n3) )).++fof(axN34_1_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n4,n1,n4) )).++fof(axN34_1_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n4,n1,n5) )).++fof(axN34_1_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n4,n1,n6) )).++fof(axN34_1_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n4,n1,n7) )).++fof(axN34_1_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n4,n1,n8) )).++fof(axN34_1_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n4,n1,n9) )).++fof(axN35_1_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n5,n1,n1) )).++fof(axN35_1_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n5,n1,n2) )).++fof(axN35_1_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n5,n1,n3) )).++fof(axN35_1_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n5,n1,n4) )).++fof(axN35_1_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n5,n1,n5) )).++fof(axN35_1_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n5,n1,n6) )).++fof(axN35_1_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n5,n1,n7) )).++fof(axN35_1_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n5,n1,n8) )).++fof(axN35_1_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n5,n1,n9) )).++fof(axN36_1_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n6,n1,n1) )).++fof(axN36_1_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n6,n1,n2) )).++fof(axN36_1_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n6,n1,n3) )).++fof(axN36_1_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n6,n1,n4) )).++fof(axN36_1_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n6,n1,n5) )).++fof(axN36_1_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n6,n1,n6) )).++fof(axN36_1_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n6,n1,n7) )).++fof(axN36_1_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n6,n1,n8) )).++fof(axN36_1_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n6,n1,n9) )).++fof(axN37_1_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n7,n1,n1) )).++fof(axN37_1_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n7,n1,n2) )).++fof(axN37_1_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n7,n1,n3) )).++fof(axN37_1_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n7,n1,n4) )).++fof(axN37_1_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n7,n1,n5) )).++fof(axN37_1_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n7,n1,n6) )).++fof(axN37_1_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n7,n1,n7) )).++fof(axN37_1_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n7,n1,n8) )).++fof(axN37_1_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n7,n1,n9) )).++fof(axN38_1_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n8,n1,n1) )).++fof(axN38_1_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n8,n1,n2) )).++fof(axN38_1_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n8,n1,n3) )).++fof(axN38_1_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n8,n1,n4) )).++fof(axN38_1_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n8,n1,n5) )).++fof(axN38_1_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n8,n1,n6) )).++fof(axN38_1_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n8,n1,n7) )).++fof(axN38_1_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n8,n1,n8) )).++fof(axN38_1_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n8,n1,n9) )).++fof(axN39_1_1,axiom,+ ( p(n3,n1,n1)+ => ~ p(n9,n1,n1) )).++fof(axN39_1_2,axiom,+ ( p(n3,n1,n2)+ => ~ p(n9,n1,n2) )).++fof(axN39_1_3,axiom,+ ( p(n3,n1,n3)+ => ~ p(n9,n1,n3) )).++fof(axN39_1_4,axiom,+ ( p(n3,n1,n4)+ => ~ p(n9,n1,n4) )).++fof(axN39_1_5,axiom,+ ( p(n3,n1,n5)+ => ~ p(n9,n1,n5) )).++fof(axN39_1_6,axiom,+ ( p(n3,n1,n6)+ => ~ p(n9,n1,n6) )).++fof(axN39_1_7,axiom,+ ( p(n3,n1,n7)+ => ~ p(n9,n1,n7) )).++fof(axN39_1_8,axiom,+ ( p(n3,n1,n8)+ => ~ p(n9,n1,n8) )).++fof(axN39_1_9,axiom,+ ( p(n3,n1,n9)+ => ~ p(n9,n1,n9) )).++fof(axN45_1_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n5,n1,n1) )).++fof(axN45_1_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n5,n1,n2) )).++fof(axN45_1_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n5,n1,n3) )).++fof(axN45_1_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n5,n1,n4) )).++fof(axN45_1_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n5,n1,n5) )).++fof(axN45_1_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n5,n1,n6) )).++fof(axN45_1_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n5,n1,n7) )).++fof(axN45_1_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n5,n1,n8) )).++fof(axN45_1_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n5,n1,n9) )).++fof(axN46_1_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n6,n1,n1) )).++fof(axN46_1_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n6,n1,n2) )).++fof(axN46_1_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n6,n1,n3) )).++fof(axN46_1_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n6,n1,n4) )).++fof(axN46_1_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n6,n1,n5) )).++fof(axN46_1_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n6,n1,n6) )).++fof(axN46_1_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n6,n1,n7) )).++fof(axN46_1_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n6,n1,n8) )).++fof(axN46_1_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n6,n1,n9) )).++fof(axN47_1_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n7,n1,n1) )).++fof(axN47_1_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n7,n1,n2) )).++fof(axN47_1_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n7,n1,n3) )).++fof(axN47_1_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n7,n1,n4) )).++fof(axN47_1_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n7,n1,n5) )).++fof(axN47_1_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n7,n1,n6) )).++fof(axN47_1_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n7,n1,n7) )).++fof(axN47_1_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n7,n1,n8) )).++fof(axN47_1_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n7,n1,n9) )).++fof(axN48_1_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n8,n1,n1) )).++fof(axN48_1_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n8,n1,n2) )).++fof(axN48_1_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n8,n1,n3) )).++fof(axN48_1_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n8,n1,n4) )).++fof(axN48_1_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n8,n1,n5) )).++fof(axN48_1_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n8,n1,n6) )).++fof(axN48_1_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n8,n1,n7) )).++fof(axN48_1_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n8,n1,n8) )).++fof(axN48_1_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n8,n1,n9) )).++fof(axN49_1_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n9,n1,n1) )).++fof(axN49_1_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n9,n1,n2) )).++fof(axN49_1_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n9,n1,n3) )).++fof(axN49_1_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n9,n1,n4) )).++fof(axN49_1_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n9,n1,n5) )).++fof(axN49_1_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n9,n1,n6) )).++fof(axN49_1_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n9,n1,n7) )).++fof(axN49_1_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n9,n1,n8) )).++fof(axN49_1_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n9,n1,n9) )).++fof(axN56_1_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n6,n1,n1) )).++fof(axN56_1_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n6,n1,n2) )).++fof(axN56_1_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n6,n1,n3) )).++fof(axN56_1_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n6,n1,n4) )).++fof(axN56_1_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n6,n1,n5) )).++fof(axN56_1_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n6,n1,n6) )).++fof(axN56_1_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n6,n1,n7) )).++fof(axN56_1_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n6,n1,n8) )).++fof(axN56_1_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n6,n1,n9) )).++fof(axN57_1_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n7,n1,n1) )).++fof(axN57_1_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n7,n1,n2) )).++fof(axN57_1_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n7,n1,n3) )).++fof(axN57_1_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n7,n1,n4) )).++fof(axN57_1_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n7,n1,n5) )).++fof(axN57_1_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n7,n1,n6) )).++fof(axN57_1_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n7,n1,n7) )).++fof(axN57_1_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n7,n1,n8) )).++fof(axN57_1_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n7,n1,n9) )).++fof(axN58_1_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n8,n1,n1) )).++fof(axN58_1_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n8,n1,n2) )).++fof(axN58_1_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n8,n1,n3) )).++fof(axN58_1_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n8,n1,n4) )).++fof(axN58_1_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n8,n1,n5) )).++fof(axN58_1_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n8,n1,n6) )).++fof(axN58_1_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n8,n1,n7) )).++fof(axN58_1_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n8,n1,n8) )).++fof(axN58_1_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n8,n1,n9) )).++fof(axN59_1_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n9,n1,n1) )).++fof(axN59_1_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n9,n1,n2) )).++fof(axN59_1_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n9,n1,n3) )).++fof(axN59_1_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n9,n1,n4) )).++fof(axN59_1_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n9,n1,n5) )).++fof(axN59_1_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n9,n1,n6) )).++fof(axN59_1_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n9,n1,n7) )).++fof(axN59_1_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n9,n1,n8) )).++fof(axN59_1_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n9,n1,n9) )).++fof(axN67_1_1,axiom,+ ( p(n6,n1,n1)+ => ~ p(n7,n1,n1) )).++fof(axN67_1_2,axiom,+ ( p(n6,n1,n2)+ => ~ p(n7,n1,n2) )).++fof(axN67_1_3,axiom,+ ( p(n6,n1,n3)+ => ~ p(n7,n1,n3) )).++fof(axN67_1_4,axiom,+ ( p(n6,n1,n4)+ => ~ p(n7,n1,n4) )).++fof(axN67_1_5,axiom,+ ( p(n6,n1,n5)+ => ~ p(n7,n1,n5) )).++fof(axN67_1_6,axiom,+ ( p(n6,n1,n6)+ => ~ p(n7,n1,n6) )).++fof(axN67_1_7,axiom,+ ( p(n6,n1,n7)+ => ~ p(n7,n1,n7) )).++fof(axN67_1_8,axiom,+ ( p(n6,n1,n8)+ => ~ p(n7,n1,n8) )).++fof(axN67_1_9,axiom,+ ( p(n6,n1,n9)+ => ~ p(n7,n1,n9) )).++fof(axN68_1_1,axiom,+ ( p(n6,n1,n1)+ => ~ p(n8,n1,n1) )).++fof(axN68_1_2,axiom,+ ( p(n6,n1,n2)+ => ~ p(n8,n1,n2) )).++fof(axN68_1_3,axiom,+ ( p(n6,n1,n3)+ => ~ p(n8,n1,n3) )).++fof(axN68_1_4,axiom,+ ( p(n6,n1,n4)+ => ~ p(n8,n1,n4) )).++fof(axN68_1_5,axiom,+ ( p(n6,n1,n5)+ => ~ p(n8,n1,n5) )).++fof(axN68_1_6,axiom,+ ( p(n6,n1,n6)+ => ~ p(n8,n1,n6) )).++fof(axN68_1_7,axiom,+ ( p(n6,n1,n7)+ => ~ p(n8,n1,n7) )).++fof(axN68_1_8,axiom,+ ( p(n6,n1,n8)+ => ~ p(n8,n1,n8) )).++fof(axN68_1_9,axiom,+ ( p(n6,n1,n9)+ => ~ p(n8,n1,n9) )).++fof(axN69_1_1,axiom,+ ( p(n6,n1,n1)+ => ~ p(n9,n1,n1) )).++fof(axN69_1_2,axiom,+ ( p(n6,n1,n2)+ => ~ p(n9,n1,n2) )).++fof(axN69_1_3,axiom,+ ( p(n6,n1,n3)+ => ~ p(n9,n1,n3) )).++fof(axN69_1_4,axiom,+ ( p(n6,n1,n4)+ => ~ p(n9,n1,n4) )).++fof(axN69_1_5,axiom,+ ( p(n6,n1,n5)+ => ~ p(n9,n1,n5) )).++fof(axN69_1_6,axiom,+ ( p(n6,n1,n6)+ => ~ p(n9,n1,n6) )).++fof(axN69_1_7,axiom,+ ( p(n6,n1,n7)+ => ~ p(n9,n1,n7) )).++fof(axN69_1_8,axiom,+ ( p(n6,n1,n8)+ => ~ p(n9,n1,n8) )).++fof(axN69_1_9,axiom,+ ( p(n6,n1,n9)+ => ~ p(n9,n1,n9) )).++fof(axN78_1_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n8,n1,n1) )).++fof(axN78_1_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n8,n1,n2) )).++fof(axN78_1_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n8,n1,n3) )).++fof(axN78_1_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n8,n1,n4) )).++fof(axN78_1_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n8,n1,n5) )).++fof(axN78_1_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n8,n1,n6) )).++fof(axN78_1_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n8,n1,n7) )).++fof(axN78_1_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n8,n1,n8) )).++fof(axN78_1_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n8,n1,n9) )).++fof(axN79_1_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n9,n1,n1) )).++fof(axN79_1_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n9,n1,n2) )).++fof(axN79_1_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n9,n1,n3) )).++fof(axN79_1_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n9,n1,n4) )).++fof(axN79_1_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n9,n1,n5) )).++fof(axN79_1_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n9,n1,n6) )).++fof(axN79_1_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n9,n1,n7) )).++fof(axN79_1_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n9,n1,n8) )).++fof(axN79_1_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n9,n1,n9) )).++fof(axN89_1_1,axiom,+ ( p(n8,n1,n1)+ => ~ p(n9,n1,n1) )).++fof(axN89_1_2,axiom,+ ( p(n8,n1,n2)+ => ~ p(n9,n1,n2) )).++fof(axN89_1_3,axiom,+ ( p(n8,n1,n3)+ => ~ p(n9,n1,n3) )).++fof(axN89_1_4,axiom,+ ( p(n8,n1,n4)+ => ~ p(n9,n1,n4) )).++fof(axN89_1_5,axiom,+ ( p(n8,n1,n5)+ => ~ p(n9,n1,n5) )).++fof(axN89_1_6,axiom,+ ( p(n8,n1,n6)+ => ~ p(n9,n1,n6) )).++fof(axN89_1_7,axiom,+ ( p(n8,n1,n7)+ => ~ p(n9,n1,n7) )).++fof(axN89_1_8,axiom,+ ( p(n8,n1,n8)+ => ~ p(n9,n1,n8) )).++fof(axN89_1_9,axiom,+ ( p(n8,n1,n9)+ => ~ p(n9,n1,n9) )).++fof(axN12_2_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n2,n2,n1) )).++fof(axN12_2_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n2,n2,n2) )).++fof(axN12_2_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n2,n2,n3) )).++fof(axN12_2_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n2,n2,n4) )).++fof(axN12_2_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n2,n2,n5) )).++fof(axN12_2_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n2,n2,n6) )).++fof(axN12_2_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n2,n2,n7) )).++fof(axN12_2_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n2,n2,n8) )).++fof(axN12_2_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n2,n2,n9) )).++fof(axN13_2_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n3,n2,n1) )).++fof(axN13_2_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n3,n2,n2) )).++fof(axN13_2_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n3,n2,n3) )).++fof(axN13_2_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n3,n2,n4) )).++fof(axN13_2_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n3,n2,n5) )).++fof(axN13_2_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n3,n2,n6) )).++fof(axN13_2_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n3,n2,n7) )).++fof(axN13_2_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n3,n2,n8) )).++fof(axN13_2_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n3,n2,n9) )).++fof(axN14_2_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n4,n2,n1) )).++fof(axN14_2_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n4,n2,n2) )).++fof(axN14_2_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n4,n2,n3) )).++fof(axN14_2_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n4,n2,n4) )).++fof(axN14_2_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n4,n2,n5) )).++fof(axN14_2_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n4,n2,n6) )).++fof(axN14_2_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n4,n2,n7) )).++fof(axN14_2_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n4,n2,n8) )).++fof(axN14_2_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n4,n2,n9) )).++fof(axN15_2_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n5,n2,n1) )).++fof(axN15_2_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n5,n2,n2) )).++fof(axN15_2_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n5,n2,n3) )).++fof(axN15_2_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n5,n2,n4) )).++fof(axN15_2_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n5,n2,n5) )).++fof(axN15_2_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n5,n2,n6) )).++fof(axN15_2_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n5,n2,n7) )).++fof(axN15_2_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n5,n2,n8) )).++fof(axN15_2_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n5,n2,n9) )).++fof(axN16_2_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n6,n2,n1) )).++fof(axN16_2_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n6,n2,n2) )).++fof(axN16_2_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n6,n2,n3) )).++fof(axN16_2_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n6,n2,n4) )).++fof(axN16_2_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n6,n2,n5) )).++fof(axN16_2_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n6,n2,n6) )).++fof(axN16_2_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n6,n2,n7) )).++fof(axN16_2_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n6,n2,n8) )).++fof(axN16_2_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n6,n2,n9) )).++fof(axN17_2_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n7,n2,n1) )).++fof(axN17_2_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n7,n2,n2) )).++fof(axN17_2_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n7,n2,n3) )).++fof(axN17_2_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n7,n2,n4) )).++fof(axN17_2_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n7,n2,n5) )).++fof(axN17_2_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n7,n2,n6) )).++fof(axN17_2_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n7,n2,n7) )).++fof(axN17_2_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n7,n2,n8) )).++fof(axN17_2_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n7,n2,n9) )).++fof(axN18_2_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n8,n2,n1) )).++fof(axN18_2_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n8,n2,n2) )).++fof(axN18_2_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n8,n2,n3) )).++fof(axN18_2_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n8,n2,n4) )).++fof(axN18_2_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n8,n2,n5) )).++fof(axN18_2_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n8,n2,n6) )).++fof(axN18_2_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n8,n2,n7) )).++fof(axN18_2_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n8,n2,n8) )).++fof(axN18_2_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n8,n2,n9) )).++fof(axN19_2_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n9,n2,n1) )).++fof(axN19_2_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n9,n2,n2) )).++fof(axN19_2_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n9,n2,n3) )).++fof(axN19_2_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n9,n2,n4) )).++fof(axN19_2_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n9,n2,n5) )).++fof(axN19_2_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n9,n2,n6) )).++fof(axN19_2_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n9,n2,n7) )).++fof(axN19_2_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n9,n2,n8) )).++fof(axN19_2_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n9,n2,n9) )).++fof(axN23_2_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n3,n2,n1) )).++fof(axN23_2_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n3,n2,n2) )).++fof(axN23_2_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n3,n2,n3) )).++fof(axN23_2_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n3,n2,n4) )).++fof(axN23_2_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n3,n2,n5) )).++fof(axN23_2_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n3,n2,n6) )).++fof(axN23_2_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n3,n2,n7) )).++fof(axN23_2_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n3,n2,n8) )).++fof(axN23_2_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n3,n2,n9) )).++fof(axN24_2_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n4,n2,n1) )).++fof(axN24_2_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n4,n2,n2) )).++fof(axN24_2_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n4,n2,n3) )).++fof(axN24_2_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n4,n2,n4) )).++fof(axN24_2_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n4,n2,n5) )).++fof(axN24_2_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n4,n2,n6) )).++fof(axN24_2_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n4,n2,n7) )).++fof(axN24_2_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n4,n2,n8) )).++fof(axN24_2_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n4,n2,n9) )).++fof(axN25_2_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n5,n2,n1) )).++fof(axN25_2_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n5,n2,n2) )).++fof(axN25_2_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n5,n2,n3) )).++fof(axN25_2_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n5,n2,n4) )).++fof(axN25_2_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n5,n2,n5) )).++fof(axN25_2_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n5,n2,n6) )).++fof(axN25_2_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n5,n2,n7) )).++fof(axN25_2_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n5,n2,n8) )).++fof(axN25_2_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n5,n2,n9) )).++fof(axN26_2_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n6,n2,n1) )).++fof(axN26_2_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n6,n2,n2) )).++fof(axN26_2_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n6,n2,n3) )).++fof(axN26_2_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n6,n2,n4) )).++fof(axN26_2_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n6,n2,n5) )).++fof(axN26_2_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n6,n2,n6) )).++fof(axN26_2_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n6,n2,n7) )).++fof(axN26_2_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n6,n2,n8) )).++fof(axN26_2_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n6,n2,n9) )).++fof(axN27_2_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n7,n2,n1) )).++fof(axN27_2_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n7,n2,n2) )).++fof(axN27_2_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n7,n2,n3) )).++fof(axN27_2_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n7,n2,n4) )).++fof(axN27_2_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n7,n2,n5) )).++fof(axN27_2_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n7,n2,n6) )).++fof(axN27_2_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n7,n2,n7) )).++fof(axN27_2_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n7,n2,n8) )).++fof(axN27_2_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n7,n2,n9) )).++fof(axN28_2_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n8,n2,n1) )).++fof(axN28_2_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n8,n2,n2) )).++fof(axN28_2_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n8,n2,n3) )).++fof(axN28_2_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n8,n2,n4) )).++fof(axN28_2_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n8,n2,n5) )).++fof(axN28_2_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n8,n2,n6) )).++fof(axN28_2_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n8,n2,n7) )).++fof(axN28_2_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n8,n2,n8) )).++fof(axN28_2_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n8,n2,n9) )).++fof(axN29_2_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n9,n2,n1) )).++fof(axN29_2_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n9,n2,n2) )).++fof(axN29_2_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n9,n2,n3) )).++fof(axN29_2_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n9,n2,n4) )).++fof(axN29_2_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n9,n2,n5) )).++fof(axN29_2_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n9,n2,n6) )).++fof(axN29_2_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n9,n2,n7) )).++fof(axN29_2_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n9,n2,n8) )).++fof(axN29_2_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n9,n2,n9) )).++fof(axN34_2_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n4,n2,n1) )).++fof(axN34_2_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n4,n2,n2) )).++fof(axN34_2_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n4,n2,n3) )).++fof(axN34_2_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n4,n2,n4) )).++fof(axN34_2_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n4,n2,n5) )).++fof(axN34_2_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n4,n2,n6) )).++fof(axN34_2_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n4,n2,n7) )).++fof(axN34_2_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n4,n2,n8) )).++fof(axN34_2_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n4,n2,n9) )).++fof(axN35_2_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n5,n2,n1) )).++fof(axN35_2_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n5,n2,n2) )).++fof(axN35_2_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n5,n2,n3) )).++fof(axN35_2_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n5,n2,n4) )).++fof(axN35_2_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n5,n2,n5) )).++fof(axN35_2_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n5,n2,n6) )).++fof(axN35_2_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n5,n2,n7) )).++fof(axN35_2_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n5,n2,n8) )).++fof(axN35_2_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n5,n2,n9) )).++fof(axN36_2_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n6,n2,n1) )).++fof(axN36_2_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n6,n2,n2) )).++fof(axN36_2_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n6,n2,n3) )).++fof(axN36_2_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n6,n2,n4) )).++fof(axN36_2_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n6,n2,n5) )).++fof(axN36_2_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n6,n2,n6) )).++fof(axN36_2_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n6,n2,n7) )).++fof(axN36_2_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n6,n2,n8) )).++fof(axN36_2_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n6,n2,n9) )).++fof(axN37_2_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n7,n2,n1) )).++fof(axN37_2_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n7,n2,n2) )).++fof(axN37_2_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n7,n2,n3) )).++fof(axN37_2_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n7,n2,n4) )).++fof(axN37_2_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n7,n2,n5) )).++fof(axN37_2_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n7,n2,n6) )).++fof(axN37_2_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n7,n2,n7) )).++fof(axN37_2_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n7,n2,n8) )).++fof(axN37_2_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n7,n2,n9) )).++fof(axN38_2_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n8,n2,n1) )).++fof(axN38_2_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n8,n2,n2) )).++fof(axN38_2_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n8,n2,n3) )).++fof(axN38_2_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n8,n2,n4) )).++fof(axN38_2_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n8,n2,n5) )).++fof(axN38_2_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n8,n2,n6) )).++fof(axN38_2_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n8,n2,n7) )).++fof(axN38_2_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n8,n2,n8) )).++fof(axN38_2_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n8,n2,n9) )).++fof(axN39_2_1,axiom,+ ( p(n3,n2,n1)+ => ~ p(n9,n2,n1) )).++fof(axN39_2_2,axiom,+ ( p(n3,n2,n2)+ => ~ p(n9,n2,n2) )).++fof(axN39_2_3,axiom,+ ( p(n3,n2,n3)+ => ~ p(n9,n2,n3) )).++fof(axN39_2_4,axiom,+ ( p(n3,n2,n4)+ => ~ p(n9,n2,n4) )).++fof(axN39_2_5,axiom,+ ( p(n3,n2,n5)+ => ~ p(n9,n2,n5) )).++fof(axN39_2_6,axiom,+ ( p(n3,n2,n6)+ => ~ p(n9,n2,n6) )).++fof(axN39_2_7,axiom,+ ( p(n3,n2,n7)+ => ~ p(n9,n2,n7) )).++fof(axN39_2_8,axiom,+ ( p(n3,n2,n8)+ => ~ p(n9,n2,n8) )).++fof(axN39_2_9,axiom,+ ( p(n3,n2,n9)+ => ~ p(n9,n2,n9) )).++fof(axN45_2_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n5,n2,n1) )).++fof(axN45_2_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n5,n2,n2) )).++fof(axN45_2_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n5,n2,n3) )).++fof(axN45_2_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n5,n2,n4) )).++fof(axN45_2_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n5,n2,n5) )).++fof(axN45_2_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n5,n2,n6) )).++fof(axN45_2_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n5,n2,n7) )).++fof(axN45_2_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n5,n2,n8) )).++fof(axN45_2_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n5,n2,n9) )).++fof(axN46_2_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n6,n2,n1) )).++fof(axN46_2_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n6,n2,n2) )).++fof(axN46_2_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n6,n2,n3) )).++fof(axN46_2_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n6,n2,n4) )).++fof(axN46_2_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n6,n2,n5) )).++fof(axN46_2_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n6,n2,n6) )).++fof(axN46_2_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n6,n2,n7) )).++fof(axN46_2_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n6,n2,n8) )).++fof(axN46_2_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n6,n2,n9) )).++fof(axN47_2_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n7,n2,n1) )).++fof(axN47_2_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n7,n2,n2) )).++fof(axN47_2_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n7,n2,n3) )).++fof(axN47_2_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n7,n2,n4) )).++fof(axN47_2_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n7,n2,n5) )).++fof(axN47_2_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n7,n2,n6) )).++fof(axN47_2_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n7,n2,n7) )).++fof(axN47_2_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n7,n2,n8) )).++fof(axN47_2_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n7,n2,n9) )).++fof(axN48_2_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n8,n2,n1) )).++fof(axN48_2_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n8,n2,n2) )).++fof(axN48_2_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n8,n2,n3) )).++fof(axN48_2_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n8,n2,n4) )).++fof(axN48_2_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n8,n2,n5) )).++fof(axN48_2_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n8,n2,n6) )).++fof(axN48_2_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n8,n2,n7) )).++fof(axN48_2_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n8,n2,n8) )).++fof(axN48_2_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n8,n2,n9) )).++fof(axN49_2_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n9,n2,n1) )).++fof(axN49_2_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n9,n2,n2) )).++fof(axN49_2_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n9,n2,n3) )).++fof(axN49_2_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n9,n2,n4) )).++fof(axN49_2_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n9,n2,n5) )).++fof(axN49_2_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n9,n2,n6) )).++fof(axN49_2_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n9,n2,n7) )).++fof(axN49_2_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n9,n2,n8) )).++fof(axN49_2_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n9,n2,n9) )).++fof(axN56_2_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n6,n2,n1) )).++fof(axN56_2_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n6,n2,n2) )).++fof(axN56_2_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n6,n2,n3) )).++fof(axN56_2_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n6,n2,n4) )).++fof(axN56_2_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n6,n2,n5) )).++fof(axN56_2_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n6,n2,n6) )).++fof(axN56_2_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n6,n2,n7) )).++fof(axN56_2_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n6,n2,n8) )).++fof(axN56_2_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n6,n2,n9) )).++fof(axN57_2_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n7,n2,n1) )).++fof(axN57_2_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n7,n2,n2) )).++fof(axN57_2_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n7,n2,n3) )).++fof(axN57_2_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n7,n2,n4) )).++fof(axN57_2_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n7,n2,n5) )).++fof(axN57_2_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n7,n2,n6) )).++fof(axN57_2_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n7,n2,n7) )).++fof(axN57_2_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n7,n2,n8) )).++fof(axN57_2_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n7,n2,n9) )).++fof(axN58_2_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n8,n2,n1) )).++fof(axN58_2_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n8,n2,n2) )).++fof(axN58_2_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n8,n2,n3) )).++fof(axN58_2_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n8,n2,n4) )).++fof(axN58_2_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n8,n2,n5) )).++fof(axN58_2_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n8,n2,n6) )).++fof(axN58_2_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n8,n2,n7) )).++fof(axN58_2_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n8,n2,n8) )).++fof(axN58_2_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n8,n2,n9) )).++fof(axN59_2_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n9,n2,n1) )).++fof(axN59_2_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n9,n2,n2) )).++fof(axN59_2_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n9,n2,n3) )).++fof(axN59_2_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n9,n2,n4) )).++fof(axN59_2_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n9,n2,n5) )).++fof(axN59_2_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n9,n2,n6) )).++fof(axN59_2_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n9,n2,n7) )).++fof(axN59_2_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n9,n2,n8) )).++fof(axN59_2_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n9,n2,n9) )).++fof(axN67_2_1,axiom,+ ( p(n6,n2,n1)+ => ~ p(n7,n2,n1) )).++fof(axN67_2_2,axiom,+ ( p(n6,n2,n2)+ => ~ p(n7,n2,n2) )).++fof(axN67_2_3,axiom,+ ( p(n6,n2,n3)+ => ~ p(n7,n2,n3) )).++fof(axN67_2_4,axiom,+ ( p(n6,n2,n4)+ => ~ p(n7,n2,n4) )).++fof(axN67_2_5,axiom,+ ( p(n6,n2,n5)+ => ~ p(n7,n2,n5) )).++fof(axN67_2_6,axiom,+ ( p(n6,n2,n6)+ => ~ p(n7,n2,n6) )).++fof(axN67_2_7,axiom,+ ( p(n6,n2,n7)+ => ~ p(n7,n2,n7) )).++fof(axN67_2_8,axiom,+ ( p(n6,n2,n8)+ => ~ p(n7,n2,n8) )).++fof(axN67_2_9,axiom,+ ( p(n6,n2,n9)+ => ~ p(n7,n2,n9) )).++fof(axN68_2_1,axiom,+ ( p(n6,n2,n1)+ => ~ p(n8,n2,n1) )).++fof(axN68_2_2,axiom,+ ( p(n6,n2,n2)+ => ~ p(n8,n2,n2) )).++fof(axN68_2_3,axiom,+ ( p(n6,n2,n3)+ => ~ p(n8,n2,n3) )).++fof(axN68_2_4,axiom,+ ( p(n6,n2,n4)+ => ~ p(n8,n2,n4) )).++fof(axN68_2_5,axiom,+ ( p(n6,n2,n5)+ => ~ p(n8,n2,n5) )).++fof(axN68_2_6,axiom,+ ( p(n6,n2,n6)+ => ~ p(n8,n2,n6) )).++fof(axN68_2_7,axiom,+ ( p(n6,n2,n7)+ => ~ p(n8,n2,n7) )).++fof(axN68_2_8,axiom,+ ( p(n6,n2,n8)+ => ~ p(n8,n2,n8) )).++fof(axN68_2_9,axiom,+ ( p(n6,n2,n9)+ => ~ p(n8,n2,n9) )).++fof(axN69_2_1,axiom,+ ( p(n6,n2,n1)+ => ~ p(n9,n2,n1) )).++fof(axN69_2_2,axiom,+ ( p(n6,n2,n2)+ => ~ p(n9,n2,n2) )).++fof(axN69_2_3,axiom,+ ( p(n6,n2,n3)+ => ~ p(n9,n2,n3) )).++fof(axN69_2_4,axiom,+ ( p(n6,n2,n4)+ => ~ p(n9,n2,n4) )).++fof(axN69_2_5,axiom,+ ( p(n6,n2,n5)+ => ~ p(n9,n2,n5) )).++fof(axN69_2_6,axiom,+ ( p(n6,n2,n6)+ => ~ p(n9,n2,n6) )).++fof(axN69_2_7,axiom,+ ( p(n6,n2,n7)+ => ~ p(n9,n2,n7) )).++fof(axN69_2_8,axiom,+ ( p(n6,n2,n8)+ => ~ p(n9,n2,n8) )).++fof(axN69_2_9,axiom,+ ( p(n6,n2,n9)+ => ~ p(n9,n2,n9) )).++fof(axN78_2_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n8,n2,n1) )).++fof(axN78_2_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n8,n2,n2) )).++fof(axN78_2_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n8,n2,n3) )).++fof(axN78_2_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n8,n2,n4) )).++fof(axN78_2_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n8,n2,n5) )).++fof(axN78_2_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n8,n2,n6) )).++fof(axN78_2_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n8,n2,n7) )).++fof(axN78_2_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n8,n2,n8) )).++fof(axN78_2_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n8,n2,n9) )).++fof(axN79_2_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n9,n2,n1) )).++fof(axN79_2_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n9,n2,n2) )).++fof(axN79_2_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n9,n2,n3) )).++fof(axN79_2_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n9,n2,n4) )).++fof(axN79_2_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n9,n2,n5) )).++fof(axN79_2_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n9,n2,n6) )).++fof(axN79_2_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n9,n2,n7) )).++fof(axN79_2_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n9,n2,n8) )).++fof(axN79_2_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n9,n2,n9) )).++fof(axN89_2_1,axiom,+ ( p(n8,n2,n1)+ => ~ p(n9,n2,n1) )).++fof(axN89_2_2,axiom,+ ( p(n8,n2,n2)+ => ~ p(n9,n2,n2) )).++fof(axN89_2_3,axiom,+ ( p(n8,n2,n3)+ => ~ p(n9,n2,n3) )).++fof(axN89_2_4,axiom,+ ( p(n8,n2,n4)+ => ~ p(n9,n2,n4) )).++fof(axN89_2_5,axiom,+ ( p(n8,n2,n5)+ => ~ p(n9,n2,n5) )).++fof(axN89_2_6,axiom,+ ( p(n8,n2,n6)+ => ~ p(n9,n2,n6) )).++fof(axN89_2_7,axiom,+ ( p(n8,n2,n7)+ => ~ p(n9,n2,n7) )).++fof(axN89_2_8,axiom,+ ( p(n8,n2,n8)+ => ~ p(n9,n2,n8) )).++fof(axN89_2_9,axiom,+ ( p(n8,n2,n9)+ => ~ p(n9,n2,n9) )).++fof(axN12_3_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n2,n3,n1) )).++fof(axN12_3_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n2,n3,n2) )).++fof(axN12_3_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n2,n3,n3) )).++fof(axN12_3_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n2,n3,n4) )).++fof(axN12_3_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n2,n3,n5) )).++fof(axN12_3_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n2,n3,n6) )).++fof(axN12_3_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n2,n3,n7) )).++fof(axN12_3_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n2,n3,n8) )).++fof(axN12_3_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n2,n3,n9) )).++fof(axN13_3_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n3,n3,n1) )).++fof(axN13_3_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n3,n3,n2) )).++fof(axN13_3_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n3,n3,n3) )).++fof(axN13_3_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n3,n3,n4) )).++fof(axN13_3_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n3,n3,n5) )).++fof(axN13_3_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n3,n3,n6) )).++fof(axN13_3_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n3,n3,n7) )).++fof(axN13_3_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n3,n3,n8) )).++fof(axN13_3_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n3,n3,n9) )).++fof(axN14_3_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n4,n3,n1) )).++fof(axN14_3_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n4,n3,n2) )).++fof(axN14_3_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n4,n3,n3) )).++fof(axN14_3_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n4,n3,n4) )).++fof(axN14_3_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n4,n3,n5) )).++fof(axN14_3_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n4,n3,n6) )).++fof(axN14_3_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n4,n3,n7) )).++fof(axN14_3_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n4,n3,n8) )).++fof(axN14_3_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n4,n3,n9) )).++fof(axN15_3_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n5,n3,n1) )).++fof(axN15_3_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n5,n3,n2) )).++fof(axN15_3_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n5,n3,n3) )).++fof(axN15_3_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n5,n3,n4) )).++fof(axN15_3_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n5,n3,n5) )).++fof(axN15_3_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n5,n3,n6) )).++fof(axN15_3_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n5,n3,n7) )).++fof(axN15_3_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n5,n3,n8) )).++fof(axN15_3_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n5,n3,n9) )).++fof(axN16_3_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n6,n3,n1) )).++fof(axN16_3_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n6,n3,n2) )).++fof(axN16_3_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n6,n3,n3) )).++fof(axN16_3_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n6,n3,n4) )).++fof(axN16_3_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n6,n3,n5) )).++fof(axN16_3_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n6,n3,n6) )).++fof(axN16_3_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n6,n3,n7) )).++fof(axN16_3_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n6,n3,n8) )).++fof(axN16_3_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n6,n3,n9) )).++fof(axN17_3_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n7,n3,n1) )).++fof(axN17_3_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n7,n3,n2) )).++fof(axN17_3_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n7,n3,n3) )).++fof(axN17_3_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n7,n3,n4) )).++fof(axN17_3_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n7,n3,n5) )).++fof(axN17_3_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n7,n3,n6) )).++fof(axN17_3_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n7,n3,n7) )).++fof(axN17_3_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n7,n3,n8) )).++fof(axN17_3_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n7,n3,n9) )).++fof(axN18_3_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n8,n3,n1) )).++fof(axN18_3_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n8,n3,n2) )).++fof(axN18_3_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n8,n3,n3) )).++fof(axN18_3_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n8,n3,n4) )).++fof(axN18_3_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n8,n3,n5) )).++fof(axN18_3_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n8,n3,n6) )).++fof(axN18_3_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n8,n3,n7) )).++fof(axN18_3_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n8,n3,n8) )).++fof(axN18_3_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n8,n3,n9) )).++fof(axN19_3_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n9,n3,n1) )).++fof(axN19_3_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n9,n3,n2) )).++fof(axN19_3_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n9,n3,n3) )).++fof(axN19_3_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n9,n3,n4) )).++fof(axN19_3_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n9,n3,n5) )).++fof(axN19_3_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n9,n3,n6) )).++fof(axN19_3_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n9,n3,n7) )).++fof(axN19_3_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n9,n3,n8) )).++fof(axN19_3_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n9,n3,n9) )).++fof(axN23_3_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n3,n3,n1) )).++fof(axN23_3_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n3,n3,n2) )).++fof(axN23_3_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n3,n3,n3) )).++fof(axN23_3_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n3,n3,n4) )).++fof(axN23_3_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n3,n3,n5) )).++fof(axN23_3_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n3,n3,n6) )).++fof(axN23_3_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n3,n3,n7) )).++fof(axN23_3_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n3,n3,n8) )).++fof(axN23_3_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n3,n3,n9) )).++fof(axN24_3_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n4,n3,n1) )).++fof(axN24_3_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n4,n3,n2) )).++fof(axN24_3_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n4,n3,n3) )).++fof(axN24_3_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n4,n3,n4) )).++fof(axN24_3_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n4,n3,n5) )).++fof(axN24_3_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n4,n3,n6) )).++fof(axN24_3_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n4,n3,n7) )).++fof(axN24_3_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n4,n3,n8) )).++fof(axN24_3_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n4,n3,n9) )).++fof(axN25_3_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n5,n3,n1) )).++fof(axN25_3_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n5,n3,n2) )).++fof(axN25_3_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n5,n3,n3) )).++fof(axN25_3_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n5,n3,n4) )).++fof(axN25_3_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n5,n3,n5) )).++fof(axN25_3_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n5,n3,n6) )).++fof(axN25_3_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n5,n3,n7) )).++fof(axN25_3_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n5,n3,n8) )).++fof(axN25_3_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n5,n3,n9) )).++fof(axN26_3_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n6,n3,n1) )).++fof(axN26_3_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n6,n3,n2) )).++fof(axN26_3_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n6,n3,n3) )).++fof(axN26_3_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n6,n3,n4) )).++fof(axN26_3_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n6,n3,n5) )).++fof(axN26_3_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n6,n3,n6) )).++fof(axN26_3_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n6,n3,n7) )).++fof(axN26_3_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n6,n3,n8) )).++fof(axN26_3_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n6,n3,n9) )).++fof(axN27_3_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n7,n3,n1) )).++fof(axN27_3_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n7,n3,n2) )).++fof(axN27_3_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n7,n3,n3) )).++fof(axN27_3_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n7,n3,n4) )).++fof(axN27_3_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n7,n3,n5) )).++fof(axN27_3_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n7,n3,n6) )).++fof(axN27_3_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n7,n3,n7) )).++fof(axN27_3_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n7,n3,n8) )).++fof(axN27_3_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n7,n3,n9) )).++fof(axN28_3_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n8,n3,n1) )).++fof(axN28_3_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n8,n3,n2) )).++fof(axN28_3_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n8,n3,n3) )).++fof(axN28_3_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n8,n3,n4) )).++fof(axN28_3_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n8,n3,n5) )).++fof(axN28_3_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n8,n3,n6) )).++fof(axN28_3_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n8,n3,n7) )).++fof(axN28_3_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n8,n3,n8) )).++fof(axN28_3_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n8,n3,n9) )).++fof(axN29_3_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n9,n3,n1) )).++fof(axN29_3_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n9,n3,n2) )).++fof(axN29_3_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n9,n3,n3) )).++fof(axN29_3_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n9,n3,n4) )).++fof(axN29_3_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n9,n3,n5) )).++fof(axN29_3_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n9,n3,n6) )).++fof(axN29_3_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n9,n3,n7) )).++fof(axN29_3_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n9,n3,n8) )).++fof(axN29_3_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n9,n3,n9) )).++fof(axN34_3_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n4,n3,n1) )).++fof(axN34_3_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n4,n3,n2) )).++fof(axN34_3_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n4,n3,n3) )).++fof(axN34_3_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n4,n3,n4) )).++fof(axN34_3_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n4,n3,n5) )).++fof(axN34_3_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n4,n3,n6) )).++fof(axN34_3_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n4,n3,n7) )).++fof(axN34_3_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n4,n3,n8) )).++fof(axN34_3_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n4,n3,n9) )).++fof(axN35_3_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n5,n3,n1) )).++fof(axN35_3_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n5,n3,n2) )).++fof(axN35_3_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n5,n3,n3) )).++fof(axN35_3_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n5,n3,n4) )).++fof(axN35_3_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n5,n3,n5) )).++fof(axN35_3_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n5,n3,n6) )).++fof(axN35_3_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n5,n3,n7) )).++fof(axN35_3_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n5,n3,n8) )).++fof(axN35_3_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n5,n3,n9) )).++fof(axN36_3_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n6,n3,n1) )).++fof(axN36_3_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n6,n3,n2) )).++fof(axN36_3_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n6,n3,n3) )).++fof(axN36_3_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n6,n3,n4) )).++fof(axN36_3_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n6,n3,n5) )).++fof(axN36_3_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n6,n3,n6) )).++fof(axN36_3_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n6,n3,n7) )).++fof(axN36_3_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n6,n3,n8) )).++fof(axN36_3_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n6,n3,n9) )).++fof(axN37_3_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n7,n3,n1) )).++fof(axN37_3_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n7,n3,n2) )).++fof(axN37_3_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n7,n3,n3) )).++fof(axN37_3_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n7,n3,n4) )).++fof(axN37_3_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n7,n3,n5) )).++fof(axN37_3_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n7,n3,n6) )).++fof(axN37_3_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n7,n3,n7) )).++fof(axN37_3_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n7,n3,n8) )).++fof(axN37_3_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n7,n3,n9) )).++fof(axN38_3_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n8,n3,n1) )).++fof(axN38_3_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n8,n3,n2) )).++fof(axN38_3_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n8,n3,n3) )).++fof(axN38_3_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n8,n3,n4) )).++fof(axN38_3_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n8,n3,n5) )).++fof(axN38_3_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n8,n3,n6) )).++fof(axN38_3_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n8,n3,n7) )).++fof(axN38_3_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n8,n3,n8) )).++fof(axN38_3_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n8,n3,n9) )).++fof(axN39_3_1,axiom,+ ( p(n3,n3,n1)+ => ~ p(n9,n3,n1) )).++fof(axN39_3_2,axiom,+ ( p(n3,n3,n2)+ => ~ p(n9,n3,n2) )).++fof(axN39_3_3,axiom,+ ( p(n3,n3,n3)+ => ~ p(n9,n3,n3) )).++fof(axN39_3_4,axiom,+ ( p(n3,n3,n4)+ => ~ p(n9,n3,n4) )).++fof(axN39_3_5,axiom,+ ( p(n3,n3,n5)+ => ~ p(n9,n3,n5) )).++fof(axN39_3_6,axiom,+ ( p(n3,n3,n6)+ => ~ p(n9,n3,n6) )).++fof(axN39_3_7,axiom,+ ( p(n3,n3,n7)+ => ~ p(n9,n3,n7) )).++fof(axN39_3_8,axiom,+ ( p(n3,n3,n8)+ => ~ p(n9,n3,n8) )).++fof(axN39_3_9,axiom,+ ( p(n3,n3,n9)+ => ~ p(n9,n3,n9) )).++fof(axN45_3_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n5,n3,n1) )).++fof(axN45_3_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n5,n3,n2) )).++fof(axN45_3_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n5,n3,n3) )).++fof(axN45_3_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n5,n3,n4) )).++fof(axN45_3_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n5,n3,n5) )).++fof(axN45_3_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n5,n3,n6) )).++fof(axN45_3_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n5,n3,n7) )).++fof(axN45_3_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n5,n3,n8) )).++fof(axN45_3_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n5,n3,n9) )).++fof(axN46_3_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n6,n3,n1) )).++fof(axN46_3_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n6,n3,n2) )).++fof(axN46_3_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n6,n3,n3) )).++fof(axN46_3_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n6,n3,n4) )).++fof(axN46_3_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n6,n3,n5) )).++fof(axN46_3_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n6,n3,n6) )).++fof(axN46_3_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n6,n3,n7) )).++fof(axN46_3_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n6,n3,n8) )).++fof(axN46_3_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n6,n3,n9) )).++fof(axN47_3_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n7,n3,n1) )).++fof(axN47_3_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n7,n3,n2) )).++fof(axN47_3_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n7,n3,n3) )).++fof(axN47_3_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n7,n3,n4) )).++fof(axN47_3_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n7,n3,n5) )).++fof(axN47_3_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n7,n3,n6) )).++fof(axN47_3_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n7,n3,n7) )).++fof(axN47_3_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n7,n3,n8) )).++fof(axN47_3_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n7,n3,n9) )).++fof(axN48_3_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n8,n3,n1) )).++fof(axN48_3_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n8,n3,n2) )).++fof(axN48_3_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n8,n3,n3) )).++fof(axN48_3_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n8,n3,n4) )).++fof(axN48_3_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n8,n3,n5) )).++fof(axN48_3_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n8,n3,n6) )).++fof(axN48_3_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n8,n3,n7) )).++fof(axN48_3_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n8,n3,n8) )).++fof(axN48_3_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n8,n3,n9) )).++fof(axN49_3_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n9,n3,n1) )).++fof(axN49_3_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n9,n3,n2) )).++fof(axN49_3_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n9,n3,n3) )).++fof(axN49_3_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n9,n3,n4) )).++fof(axN49_3_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n9,n3,n5) )).++fof(axN49_3_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n9,n3,n6) )).++fof(axN49_3_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n9,n3,n7) )).++fof(axN49_3_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n9,n3,n8) )).++fof(axN49_3_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n9,n3,n9) )).++fof(axN56_3_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n6,n3,n1) )).++fof(axN56_3_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n6,n3,n2) )).++fof(axN56_3_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n6,n3,n3) )).++fof(axN56_3_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n6,n3,n4) )).++fof(axN56_3_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n6,n3,n5) )).++fof(axN56_3_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n6,n3,n6) )).++fof(axN56_3_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n6,n3,n7) )).++fof(axN56_3_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n6,n3,n8) )).++fof(axN56_3_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n6,n3,n9) )).++fof(axN57_3_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n7,n3,n1) )).++fof(axN57_3_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n7,n3,n2) )).++fof(axN57_3_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n7,n3,n3) )).++fof(axN57_3_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n7,n3,n4) )).++fof(axN57_3_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n7,n3,n5) )).++fof(axN57_3_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n7,n3,n6) )).++fof(axN57_3_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n7,n3,n7) )).++fof(axN57_3_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n7,n3,n8) )).++fof(axN57_3_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n7,n3,n9) )).++fof(axN58_3_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n8,n3,n1) )).++fof(axN58_3_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n8,n3,n2) )).++fof(axN58_3_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n8,n3,n3) )).++fof(axN58_3_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n8,n3,n4) )).++fof(axN58_3_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n8,n3,n5) )).++fof(axN58_3_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n8,n3,n6) )).++fof(axN58_3_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n8,n3,n7) )).++fof(axN58_3_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n8,n3,n8) )).++fof(axN58_3_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n8,n3,n9) )).++fof(axN59_3_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n9,n3,n1) )).++fof(axN59_3_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n9,n3,n2) )).++fof(axN59_3_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n9,n3,n3) )).++fof(axN59_3_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n9,n3,n4) )).++fof(axN59_3_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n9,n3,n5) )).++fof(axN59_3_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n9,n3,n6) )).++fof(axN59_3_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n9,n3,n7) )).++fof(axN59_3_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n9,n3,n8) )).++fof(axN59_3_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n9,n3,n9) )).++fof(axN67_3_1,axiom,+ ( p(n6,n3,n1)+ => ~ p(n7,n3,n1) )).++fof(axN67_3_2,axiom,+ ( p(n6,n3,n2)+ => ~ p(n7,n3,n2) )).++fof(axN67_3_3,axiom,+ ( p(n6,n3,n3)+ => ~ p(n7,n3,n3) )).++fof(axN67_3_4,axiom,+ ( p(n6,n3,n4)+ => ~ p(n7,n3,n4) )).++fof(axN67_3_5,axiom,+ ( p(n6,n3,n5)+ => ~ p(n7,n3,n5) )).++fof(axN67_3_6,axiom,+ ( p(n6,n3,n6)+ => ~ p(n7,n3,n6) )).++fof(axN67_3_7,axiom,+ ( p(n6,n3,n7)+ => ~ p(n7,n3,n7) )).++fof(axN67_3_8,axiom,+ ( p(n6,n3,n8)+ => ~ p(n7,n3,n8) )).++fof(axN67_3_9,axiom,+ ( p(n6,n3,n9)+ => ~ p(n7,n3,n9) )).++fof(axN68_3_1,axiom,+ ( p(n6,n3,n1)+ => ~ p(n8,n3,n1) )).++fof(axN68_3_2,axiom,+ ( p(n6,n3,n2)+ => ~ p(n8,n3,n2) )).++fof(axN68_3_3,axiom,+ ( p(n6,n3,n3)+ => ~ p(n8,n3,n3) )).++fof(axN68_3_4,axiom,+ ( p(n6,n3,n4)+ => ~ p(n8,n3,n4) )).++fof(axN68_3_5,axiom,+ ( p(n6,n3,n5)+ => ~ p(n8,n3,n5) )).++fof(axN68_3_6,axiom,+ ( p(n6,n3,n6)+ => ~ p(n8,n3,n6) )).++fof(axN68_3_7,axiom,+ ( p(n6,n3,n7)+ => ~ p(n8,n3,n7) )).++fof(axN68_3_8,axiom,+ ( p(n6,n3,n8)+ => ~ p(n8,n3,n8) )).++fof(axN68_3_9,axiom,+ ( p(n6,n3,n9)+ => ~ p(n8,n3,n9) )).++fof(axN69_3_1,axiom,+ ( p(n6,n3,n1)+ => ~ p(n9,n3,n1) )).++fof(axN69_3_2,axiom,+ ( p(n6,n3,n2)+ => ~ p(n9,n3,n2) )).++fof(axN69_3_3,axiom,+ ( p(n6,n3,n3)+ => ~ p(n9,n3,n3) )).++fof(axN69_3_4,axiom,+ ( p(n6,n3,n4)+ => ~ p(n9,n3,n4) )).++fof(axN69_3_5,axiom,+ ( p(n6,n3,n5)+ => ~ p(n9,n3,n5) )).++fof(axN69_3_6,axiom,+ ( p(n6,n3,n6)+ => ~ p(n9,n3,n6) )).++fof(axN69_3_7,axiom,+ ( p(n6,n3,n7)+ => ~ p(n9,n3,n7) )).++fof(axN69_3_8,axiom,+ ( p(n6,n3,n8)+ => ~ p(n9,n3,n8) )).++fof(axN69_3_9,axiom,+ ( p(n6,n3,n9)+ => ~ p(n9,n3,n9) )).++fof(axN78_3_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n8,n3,n1) )).++fof(axN78_3_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n8,n3,n2) )).++fof(axN78_3_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n8,n3,n3) )).++fof(axN78_3_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n8,n3,n4) )).++fof(axN78_3_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n8,n3,n5) )).++fof(axN78_3_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n8,n3,n6) )).++fof(axN78_3_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n8,n3,n7) )).++fof(axN78_3_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n8,n3,n8) )).++fof(axN78_3_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n8,n3,n9) )).++fof(axN79_3_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n9,n3,n1) )).++fof(axN79_3_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n9,n3,n2) )).++fof(axN79_3_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n9,n3,n3) )).++fof(axN79_3_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n9,n3,n4) )).++fof(axN79_3_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n9,n3,n5) )).++fof(axN79_3_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n9,n3,n6) )).++fof(axN79_3_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n9,n3,n7) )).++fof(axN79_3_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n9,n3,n8) )).++fof(axN79_3_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n9,n3,n9) )).++fof(axN89_3_1,axiom,+ ( p(n8,n3,n1)+ => ~ p(n9,n3,n1) )).++fof(axN89_3_2,axiom,+ ( p(n8,n3,n2)+ => ~ p(n9,n3,n2) )).++fof(axN89_3_3,axiom,+ ( p(n8,n3,n3)+ => ~ p(n9,n3,n3) )).++fof(axN89_3_4,axiom,+ ( p(n8,n3,n4)+ => ~ p(n9,n3,n4) )).++fof(axN89_3_5,axiom,+ ( p(n8,n3,n5)+ => ~ p(n9,n3,n5) )).++fof(axN89_3_6,axiom,+ ( p(n8,n3,n6)+ => ~ p(n9,n3,n6) )).++fof(axN89_3_7,axiom,+ ( p(n8,n3,n7)+ => ~ p(n9,n3,n7) )).++fof(axN89_3_8,axiom,+ ( p(n8,n3,n8)+ => ~ p(n9,n3,n8) )).++fof(axN89_3_9,axiom,+ ( p(n8,n3,n9)+ => ~ p(n9,n3,n9) )).++fof(axN12_4_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n2,n4,n1) )).++fof(axN12_4_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n2,n4,n2) )).++fof(axN12_4_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n2,n4,n3) )).++fof(axN12_4_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n2,n4,n4) )).++fof(axN12_4_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n2,n4,n5) )).++fof(axN12_4_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n2,n4,n6) )).++fof(axN12_4_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n2,n4,n7) )).++fof(axN12_4_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n2,n4,n8) )).++fof(axN12_4_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n2,n4,n9) )).++fof(axN13_4_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n3,n4,n1) )).++fof(axN13_4_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n3,n4,n2) )).++fof(axN13_4_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n3,n4,n3) )).++fof(axN13_4_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n3,n4,n4) )).++fof(axN13_4_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n3,n4,n5) )).++fof(axN13_4_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n3,n4,n6) )).++fof(axN13_4_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n3,n4,n7) )).++fof(axN13_4_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n3,n4,n8) )).++fof(axN13_4_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n3,n4,n9) )).++fof(axN14_4_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n4,n4,n1) )).++fof(axN14_4_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n4,n4,n2) )).++fof(axN14_4_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n4,n4,n3) )).++fof(axN14_4_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n4,n4,n4) )).++fof(axN14_4_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n4,n4,n5) )).++fof(axN14_4_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n4,n4,n6) )).++fof(axN14_4_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n4,n4,n7) )).++fof(axN14_4_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n4,n4,n8) )).++fof(axN14_4_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n4,n4,n9) )).++fof(axN15_4_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n5,n4,n1) )).++fof(axN15_4_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n5,n4,n2) )).++fof(axN15_4_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n5,n4,n3) )).++fof(axN15_4_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n5,n4,n4) )).++fof(axN15_4_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n5,n4,n5) )).++fof(axN15_4_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n5,n4,n6) )).++fof(axN15_4_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n5,n4,n7) )).++fof(axN15_4_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n5,n4,n8) )).++fof(axN15_4_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n5,n4,n9) )).++fof(axN16_4_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n6,n4,n1) )).++fof(axN16_4_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n6,n4,n2) )).++fof(axN16_4_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n6,n4,n3) )).++fof(axN16_4_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n6,n4,n4) )).++fof(axN16_4_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n6,n4,n5) )).++fof(axN16_4_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n6,n4,n6) )).++fof(axN16_4_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n6,n4,n7) )).++fof(axN16_4_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n6,n4,n8) )).++fof(axN16_4_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n6,n4,n9) )).++fof(axN17_4_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n7,n4,n1) )).++fof(axN17_4_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n7,n4,n2) )).++fof(axN17_4_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n7,n4,n3) )).++fof(axN17_4_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n7,n4,n4) )).++fof(axN17_4_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n7,n4,n5) )).++fof(axN17_4_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n7,n4,n6) )).++fof(axN17_4_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n7,n4,n7) )).++fof(axN17_4_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n7,n4,n8) )).++fof(axN17_4_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n7,n4,n9) )).++fof(axN18_4_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n8,n4,n1) )).++fof(axN18_4_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n8,n4,n2) )).++fof(axN18_4_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n8,n4,n3) )).++fof(axN18_4_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n8,n4,n4) )).++fof(axN18_4_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n8,n4,n5) )).++fof(axN18_4_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n8,n4,n6) )).++fof(axN18_4_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n8,n4,n7) )).++fof(axN18_4_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n8,n4,n8) )).++fof(axN18_4_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n8,n4,n9) )).++fof(axN19_4_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n9,n4,n1) )).++fof(axN19_4_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n9,n4,n2) )).++fof(axN19_4_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n9,n4,n3) )).++fof(axN19_4_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n9,n4,n4) )).++fof(axN19_4_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n9,n4,n5) )).++fof(axN19_4_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n9,n4,n6) )).++fof(axN19_4_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n9,n4,n7) )).++fof(axN19_4_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n9,n4,n8) )).++fof(axN19_4_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n9,n4,n9) )).++fof(axN23_4_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n3,n4,n1) )).++fof(axN23_4_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n3,n4,n2) )).++fof(axN23_4_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n3,n4,n3) )).++fof(axN23_4_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n3,n4,n4) )).++fof(axN23_4_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n3,n4,n5) )).++fof(axN23_4_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n3,n4,n6) )).++fof(axN23_4_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n3,n4,n7) )).++fof(axN23_4_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n3,n4,n8) )).++fof(axN23_4_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n3,n4,n9) )).++fof(axN24_4_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n4,n4,n1) )).++fof(axN24_4_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n4,n4,n2) )).++fof(axN24_4_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n4,n4,n3) )).++fof(axN24_4_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n4,n4,n4) )).++fof(axN24_4_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n4,n4,n5) )).++fof(axN24_4_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n4,n4,n6) )).++fof(axN24_4_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n4,n4,n7) )).++fof(axN24_4_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n4,n4,n8) )).++fof(axN24_4_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n4,n4,n9) )).++fof(axN25_4_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n5,n4,n1) )).++fof(axN25_4_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n5,n4,n2) )).++fof(axN25_4_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n5,n4,n3) )).++fof(axN25_4_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n5,n4,n4) )).++fof(axN25_4_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n5,n4,n5) )).++fof(axN25_4_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n5,n4,n6) )).++fof(axN25_4_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n5,n4,n7) )).++fof(axN25_4_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n5,n4,n8) )).++fof(axN25_4_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n5,n4,n9) )).++fof(axN26_4_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n6,n4,n1) )).++fof(axN26_4_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n6,n4,n2) )).++fof(axN26_4_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n6,n4,n3) )).++fof(axN26_4_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n6,n4,n4) )).++fof(axN26_4_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n6,n4,n5) )).++fof(axN26_4_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n6,n4,n6) )).++fof(axN26_4_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n6,n4,n7) )).++fof(axN26_4_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n6,n4,n8) )).++fof(axN26_4_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n6,n4,n9) )).++fof(axN27_4_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n7,n4,n1) )).++fof(axN27_4_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n7,n4,n2) )).++fof(axN27_4_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n7,n4,n3) )).++fof(axN27_4_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n7,n4,n4) )).++fof(axN27_4_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n7,n4,n5) )).++fof(axN27_4_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n7,n4,n6) )).++fof(axN27_4_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n7,n4,n7) )).++fof(axN27_4_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n7,n4,n8) )).++fof(axN27_4_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n7,n4,n9) )).++fof(axN28_4_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n8,n4,n1) )).++fof(axN28_4_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n8,n4,n2) )).++fof(axN28_4_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n8,n4,n3) )).++fof(axN28_4_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n8,n4,n4) )).++fof(axN28_4_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n8,n4,n5) )).++fof(axN28_4_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n8,n4,n6) )).++fof(axN28_4_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n8,n4,n7) )).++fof(axN28_4_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n8,n4,n8) )).++fof(axN28_4_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n8,n4,n9) )).++fof(axN29_4_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n9,n4,n1) )).++fof(axN29_4_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n9,n4,n2) )).++fof(axN29_4_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n9,n4,n3) )).++fof(axN29_4_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n9,n4,n4) )).++fof(axN29_4_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n9,n4,n5) )).++fof(axN29_4_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n9,n4,n6) )).++fof(axN29_4_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n9,n4,n7) )).++fof(axN29_4_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n9,n4,n8) )).++fof(axN29_4_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n9,n4,n9) )).++fof(axN34_4_1,axiom,+ ( p(n3,n4,n1)+ => ~ p(n4,n4,n1) )).++fof(axN34_4_2,axiom,+ ( p(n3,n4,n2)+ => ~ p(n4,n4,n2) )).++fof(axN34_4_3,axiom,+ ( p(n3,n4,n3)+ => ~ p(n4,n4,n3) )).++fof(axN34_4_4,axiom,+ ( p(n3,n4,n4)+ => ~ p(n4,n4,n4) )).++fof(axN34_4_5,axiom,+ ( p(n3,n4,n5)+ => ~ p(n4,n4,n5) )).++fof(axN34_4_6,axiom,+ ( p(n3,n4,n6)+ => ~ p(n4,n4,n6) )).++fof(axN34_4_7,axiom,+ ( p(n3,n4,n7)+ => ~ p(n4,n4,n7) )).++fof(axN34_4_8,axiom,+ ( p(n3,n4,n8)+ => ~ p(n4,n4,n8) )).++fof(axN34_4_9,axiom,+ ( p(n3,n4,n9)+ => ~ p(n4,n4,n9) )).++fof(axN35_4_1,axiom,+ ( p(n3,n4,n1)+ => ~ p(n5,n4,n1) )).++fof(axN35_4_2,axiom,+ ( p(n3,n4,n2)+ => ~ p(n5,n4,n2) )).++fof(axN35_4_3,axiom,+ ( p(n3,n4,n3)+ => ~ p(n5,n4,n3) )).++fof(axN35_4_4,axiom,+ ( p(n3,n4,n4)+ => ~ p(n5,n4,n4) )).++fof(axN35_4_5,axiom,+ ( p(n3,n4,n5)+ => ~ p(n5,n4,n5) )).++fof(axN35_4_6,axiom,+ ( p(n3,n4,n6)+ => ~ p(n5,n4,n6) )).++fof(axN35_4_7,axiom,+ ( p(n3,n4,n7)+ => ~ p(n5,n4,n7) )).++fof(axN35_4_8,axiom,+ ( p(n3,n4,n8)+ => ~ p(n5,n4,n8) )).++fof(axN35_4_9,axiom,+ ( p(n3,n4,n9)+ => ~ p(n5,n4,n9) )).++fof(axN36_4_1,axiom,+ ( p(n3,n4,n1)+ => ~ p(n6,n4,n1) )).++fof(axN36_4_2,axiom,+ ( p(n3,n4,n2)+ => ~ p(n6,n4,n2) )).++fof(axN36_4_3,axiom,+ ( p(n3,n4,n3)+ => ~ p(n6,n4,n3) )).++fof(axN36_4_4,axiom,+ ( p(n3,n4,n4)+ => ~ p(n6,n4,n4) )).++fof(axN36_4_5,axiom,+ ( p(n3,n4,n5)+ => ~ p(n6,n4,n5) )).++fof(axN36_4_6,axiom,+ ( p(n3,n4,n6)+ => ~ p(n6,n4,n6) )).++fof(axN36_4_7,axiom,+ ( p(n3,n4,n7)+ => ~ p(n6,n4,n7) )).++fof(axN36_4_8,axiom,+ ( p(n3,n4,n8)+ => ~ p(n6,n4,n8) )).++fof(axN36_4_9,axiom,+ ( p(n3,n4,n9)+ => ~ p(n6,n4,n9) )).++fof(axN37_4_1,axiom,+ ( p(n3,n4,n1)+ => ~ p(n7,n4,n1) )).++fof(axN37_4_2,axiom,+ ( p(n3,n4,n2)+ => ~ p(n7,n4,n2) )).++fof(axN37_4_3,axiom,+ ( p(n3,n4,n3)+ => ~ p(n7,n4,n3) )).++fof(axN37_4_4,axiom,+ ( p(n3,n4,n4)+ => ~ p(n7,n4,n4) )).++fof(axN37_4_5,axiom,+ ( p(n3,n4,n5)+ => ~ p(n7,n4,n5) )).++fof(axN37_4_6,axiom,+ ( p(n3,n4,n6)+ => ~ p(n7,n4,n6) )).++fof(axN37_4_7,axiom,+ ( p(n3,n4,n7)+ => ~ p(n7,n4,n7) )).++fof(axN37_4_8,axiom,+ ( p(n3,n4,n8)+ => ~ p(n7,n4,n8) )).++fof(axN37_4_9,axiom,+ ( p(n3,n4,n9)+ => ~ p(n7,n4,n9) )).++fof(axN38_4_1,axiom,+ ( p(n3,n4,n1)+ => ~ p(n8,n4,n1) )).++fof(axN38_4_2,axiom,+ ( p(n3,n4,n2)+ => ~ p(n8,n4,n2) )).++fof(axN38_4_3,axiom,+ ( p(n3,n4,n3)+ => ~ p(n8,n4,n3) )).++fof(axN38_4_4,axiom,+ ( p(n3,n4,n4)+ => ~ p(n8,n4,n4) )).++fof(axN38_4_5,axiom,+ ( p(n3,n4,n5)+ => ~ p(n8,n4,n5) )).++fof(axN38_4_6,axiom,+ ( p(n3,n4,n6)+ => ~ p(n8,n4,n6) )).++fof(axN38_4_7,axiom,+ ( p(n3,n4,n7)+ => ~ p(n8,n4,n7) )).++fof(axN38_4_8,axiom,+ ( p(n3,n4,n8)+ => ~ p(n8,n4,n8) )).++fof(axN38_4_9,axiom,+ ( p(n3,n4,n9)+ => ~ p(n8,n4,n9) )).++fof(axN39_4_1,axiom,+ ( p(n3,n4,n1)+ => ~ p(n9,n4,n1) )).++fof(axN39_4_2,axiom,+ ( p(n3,n4,n2)+ => ~ p(n9,n4,n2) )).++fof(axN39_4_3,axiom,+ ( p(n3,n4,n3)+ => ~ p(n9,n4,n3) )).++fof(axN39_4_4,axiom,+ ( p(n3,n4,n4)+ => ~ p(n9,n4,n4) )).++fof(axN39_4_5,axiom,+ ( p(n3,n4,n5)+ => ~ p(n9,n4,n5) )).++fof(axN39_4_6,axiom,+ ( p(n3,n4,n6)+ => ~ p(n9,n4,n6) )).++fof(axN39_4_7,axiom,+ ( p(n3,n4,n7)+ => ~ p(n9,n4,n7) )).++fof(axN39_4_8,axiom,+ ( p(n3,n4,n8)+ => ~ p(n9,n4,n8) )).++fof(axN39_4_9,axiom,+ ( p(n3,n4,n9)+ => ~ p(n9,n4,n9) )).++fof(axN45_4_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n5,n4,n1) )).++fof(axN45_4_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n5,n4,n2) )).++fof(axN45_4_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n5,n4,n3) )).++fof(axN45_4_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n5,n4,n4) )).++fof(axN45_4_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n5,n4,n5) )).++fof(axN45_4_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n5,n4,n6) )).++fof(axN45_4_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n5,n4,n7) )).++fof(axN45_4_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n5,n4,n8) )).++fof(axN45_4_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n5,n4,n9) )).++fof(axN46_4_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n6,n4,n1) )).++fof(axN46_4_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n6,n4,n2) )).++fof(axN46_4_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n6,n4,n3) )).++fof(axN46_4_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n6,n4,n4) )).++fof(axN46_4_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n6,n4,n5) )).++fof(axN46_4_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n6,n4,n6) )).++fof(axN46_4_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n6,n4,n7) )).++fof(axN46_4_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n6,n4,n8) )).++fof(axN46_4_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n6,n4,n9) )).++fof(axN47_4_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n7,n4,n1) )).++fof(axN47_4_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n7,n4,n2) )).++fof(axN47_4_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n7,n4,n3) )).++fof(axN47_4_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n7,n4,n4) )).++fof(axN47_4_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n7,n4,n5) )).++fof(axN47_4_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n7,n4,n6) )).++fof(axN47_4_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n7,n4,n7) )).++fof(axN47_4_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n7,n4,n8) )).++fof(axN47_4_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n7,n4,n9) )).++fof(axN48_4_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n8,n4,n1) )).++fof(axN48_4_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n8,n4,n2) )).++fof(axN48_4_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n8,n4,n3) )).++fof(axN48_4_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n8,n4,n4) )).++fof(axN48_4_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n8,n4,n5) )).++fof(axN48_4_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n8,n4,n6) )).++fof(axN48_4_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n8,n4,n7) )).++fof(axN48_4_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n8,n4,n8) )).++fof(axN48_4_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n8,n4,n9) )).++fof(axN49_4_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n9,n4,n1) )).++fof(axN49_4_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n9,n4,n2) )).++fof(axN49_4_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n9,n4,n3) )).++fof(axN49_4_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n9,n4,n4) )).++fof(axN49_4_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n9,n4,n5) )).++fof(axN49_4_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n9,n4,n6) )).++fof(axN49_4_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n9,n4,n7) )).++fof(axN49_4_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n9,n4,n8) )).++fof(axN49_4_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n9,n4,n9) )).++fof(axN56_4_1,axiom,+ ( p(n5,n4,n1)+ => ~ p(n6,n4,n1) )).++fof(axN56_4_2,axiom,+ ( p(n5,n4,n2)+ => ~ p(n6,n4,n2) )).++fof(axN56_4_3,axiom,+ ( p(n5,n4,n3)+ => ~ p(n6,n4,n3) )).++fof(axN56_4_4,axiom,+ ( p(n5,n4,n4)+ => ~ p(n6,n4,n4) )).++fof(axN56_4_5,axiom,+ ( p(n5,n4,n5)+ => ~ p(n6,n4,n5) )).++fof(axN56_4_6,axiom,+ ( p(n5,n4,n6)+ => ~ p(n6,n4,n6) )).++fof(axN56_4_7,axiom,+ ( p(n5,n4,n7)+ => ~ p(n6,n4,n7) )).++fof(axN56_4_8,axiom,+ ( p(n5,n4,n8)+ => ~ p(n6,n4,n8) )).++fof(axN56_4_9,axiom,+ ( p(n5,n4,n9)+ => ~ p(n6,n4,n9) )).++fof(axN57_4_1,axiom,+ ( p(n5,n4,n1)+ => ~ p(n7,n4,n1) )).++fof(axN57_4_2,axiom,+ ( p(n5,n4,n2)+ => ~ p(n7,n4,n2) )).++fof(axN57_4_3,axiom,+ ( p(n5,n4,n3)+ => ~ p(n7,n4,n3) )).++fof(axN57_4_4,axiom,+ ( p(n5,n4,n4)+ => ~ p(n7,n4,n4) )).++fof(axN57_4_5,axiom,+ ( p(n5,n4,n5)+ => ~ p(n7,n4,n5) )).++fof(axN57_4_6,axiom,+ ( p(n5,n4,n6)+ => ~ p(n7,n4,n6) )).++fof(axN57_4_7,axiom,+ ( p(n5,n4,n7)+ => ~ p(n7,n4,n7) )).++fof(axN57_4_8,axiom,+ ( p(n5,n4,n8)+ => ~ p(n7,n4,n8) )).++fof(axN57_4_9,axiom,+ ( p(n5,n4,n9)+ => ~ p(n7,n4,n9) )).++fof(axN58_4_1,axiom,+ ( p(n5,n4,n1)+ => ~ p(n8,n4,n1) )).++fof(axN58_4_2,axiom,+ ( p(n5,n4,n2)+ => ~ p(n8,n4,n2) )).++fof(axN58_4_3,axiom,+ ( p(n5,n4,n3)+ => ~ p(n8,n4,n3) )).++fof(axN58_4_4,axiom,+ ( p(n5,n4,n4)+ => ~ p(n8,n4,n4) )).++fof(axN58_4_5,axiom,+ ( p(n5,n4,n5)+ => ~ p(n8,n4,n5) )).++fof(axN58_4_6,axiom,+ ( p(n5,n4,n6)+ => ~ p(n8,n4,n6) )).++fof(axN58_4_7,axiom,+ ( p(n5,n4,n7)+ => ~ p(n8,n4,n7) )).++fof(axN58_4_8,axiom,+ ( p(n5,n4,n8)+ => ~ p(n8,n4,n8) )).++fof(axN58_4_9,axiom,+ ( p(n5,n4,n9)+ => ~ p(n8,n4,n9) )).++fof(axN59_4_1,axiom,+ ( p(n5,n4,n1)+ => ~ p(n9,n4,n1) )).++fof(axN59_4_2,axiom,+ ( p(n5,n4,n2)+ => ~ p(n9,n4,n2) )).++fof(axN59_4_3,axiom,+ ( p(n5,n4,n3)+ => ~ p(n9,n4,n3) )).++fof(axN59_4_4,axiom,+ ( p(n5,n4,n4)+ => ~ p(n9,n4,n4) )).++fof(axN59_4_5,axiom,+ ( p(n5,n4,n5)+ => ~ p(n9,n4,n5) )).++fof(axN59_4_6,axiom,+ ( p(n5,n4,n6)+ => ~ p(n9,n4,n6) )).++fof(axN59_4_7,axiom,+ ( p(n5,n4,n7)+ => ~ p(n9,n4,n7) )).++fof(axN59_4_8,axiom,+ ( p(n5,n4,n8)+ => ~ p(n9,n4,n8) )).++fof(axN59_4_9,axiom,+ ( p(n5,n4,n9)+ => ~ p(n9,n4,n9) )).++fof(axN67_4_1,axiom,+ ( p(n6,n4,n1)+ => ~ p(n7,n4,n1) )).++fof(axN67_4_2,axiom,+ ( p(n6,n4,n2)+ => ~ p(n7,n4,n2) )).++fof(axN67_4_3,axiom,+ ( p(n6,n4,n3)+ => ~ p(n7,n4,n3) )).++fof(axN67_4_4,axiom,+ ( p(n6,n4,n4)+ => ~ p(n7,n4,n4) )).++fof(axN67_4_5,axiom,+ ( p(n6,n4,n5)+ => ~ p(n7,n4,n5) )).++fof(axN67_4_6,axiom,+ ( p(n6,n4,n6)+ => ~ p(n7,n4,n6) )).++fof(axN67_4_7,axiom,+ ( p(n6,n4,n7)+ => ~ p(n7,n4,n7) )).++fof(axN67_4_8,axiom,+ ( p(n6,n4,n8)+ => ~ p(n7,n4,n8) )).++fof(axN67_4_9,axiom,+ ( p(n6,n4,n9)+ => ~ p(n7,n4,n9) )).++fof(axN68_4_1,axiom,+ ( p(n6,n4,n1)+ => ~ p(n8,n4,n1) )).++fof(axN68_4_2,axiom,+ ( p(n6,n4,n2)+ => ~ p(n8,n4,n2) )).++fof(axN68_4_3,axiom,+ ( p(n6,n4,n3)+ => ~ p(n8,n4,n3) )).++fof(axN68_4_4,axiom,+ ( p(n6,n4,n4)+ => ~ p(n8,n4,n4) )).++fof(axN68_4_5,axiom,+ ( p(n6,n4,n5)+ => ~ p(n8,n4,n5) )).++fof(axN68_4_6,axiom,+ ( p(n6,n4,n6)+ => ~ p(n8,n4,n6) )).++fof(axN68_4_7,axiom,+ ( p(n6,n4,n7)+ => ~ p(n8,n4,n7) )).++fof(axN68_4_8,axiom,+ ( p(n6,n4,n8)+ => ~ p(n8,n4,n8) )).++fof(axN68_4_9,axiom,+ ( p(n6,n4,n9)+ => ~ p(n8,n4,n9) )).++fof(axN69_4_1,axiom,+ ( p(n6,n4,n1)+ => ~ p(n9,n4,n1) )).++fof(axN69_4_2,axiom,+ ( p(n6,n4,n2)+ => ~ p(n9,n4,n2) )).++fof(axN69_4_3,axiom,+ ( p(n6,n4,n3)+ => ~ p(n9,n4,n3) )).++fof(axN69_4_4,axiom,+ ( p(n6,n4,n4)+ => ~ p(n9,n4,n4) )).++fof(axN69_4_5,axiom,+ ( p(n6,n4,n5)+ => ~ p(n9,n4,n5) )).++fof(axN69_4_6,axiom,+ ( p(n6,n4,n6)+ => ~ p(n9,n4,n6) )).++fof(axN69_4_7,axiom,+ ( p(n6,n4,n7)+ => ~ p(n9,n4,n7) )).++fof(axN69_4_8,axiom,+ ( p(n6,n4,n8)+ => ~ p(n9,n4,n8) )).++fof(axN69_4_9,axiom,+ ( p(n6,n4,n9)+ => ~ p(n9,n4,n9) )).++fof(axN78_4_1,axiom,+ ( p(n7,n4,n1)+ => ~ p(n8,n4,n1) )).++fof(axN78_4_2,axiom,+ ( p(n7,n4,n2)+ => ~ p(n8,n4,n2) )).++fof(axN78_4_3,axiom,+ ( p(n7,n4,n3)+ => ~ p(n8,n4,n3) )).++fof(axN78_4_4,axiom,+ ( p(n7,n4,n4)+ => ~ p(n8,n4,n4) )).++fof(axN78_4_5,axiom,+ ( p(n7,n4,n5)+ => ~ p(n8,n4,n5) )).++fof(axN78_4_6,axiom,+ ( p(n7,n4,n6)+ => ~ p(n8,n4,n6) )).++fof(axN78_4_7,axiom,+ ( p(n7,n4,n7)+ => ~ p(n8,n4,n7) )).++fof(axN78_4_8,axiom,+ ( p(n7,n4,n8)+ => ~ p(n8,n4,n8) )).++fof(axN78_4_9,axiom,+ ( p(n7,n4,n9)+ => ~ p(n8,n4,n9) )).++fof(axN79_4_1,axiom,+ ( p(n7,n4,n1)+ => ~ p(n9,n4,n1) )).++fof(axN79_4_2,axiom,+ ( p(n7,n4,n2)+ => ~ p(n9,n4,n2) )).++fof(axN79_4_3,axiom,+ ( p(n7,n4,n3)+ => ~ p(n9,n4,n3) )).++fof(axN79_4_4,axiom,+ ( p(n7,n4,n4)+ => ~ p(n9,n4,n4) )).++fof(axN79_4_5,axiom,+ ( p(n7,n4,n5)+ => ~ p(n9,n4,n5) )).++fof(axN79_4_6,axiom,+ ( p(n7,n4,n6)+ => ~ p(n9,n4,n6) )).++fof(axN79_4_7,axiom,+ ( p(n7,n4,n7)+ => ~ p(n9,n4,n7) )).++fof(axN79_4_8,axiom,+ ( p(n7,n4,n8)+ => ~ p(n9,n4,n8) )).++fof(axN79_4_9,axiom,+ ( p(n7,n4,n9)+ => ~ p(n9,n4,n9) )).++fof(axN89_4_1,axiom,+ ( p(n8,n4,n1)+ => ~ p(n9,n4,n1) )).++fof(axN89_4_2,axiom,+ ( p(n8,n4,n2)+ => ~ p(n9,n4,n2) )).++fof(axN89_4_3,axiom,+ ( p(n8,n4,n3)+ => ~ p(n9,n4,n3) )).++fof(axN89_4_4,axiom,+ ( p(n8,n4,n4)+ => ~ p(n9,n4,n4) )).++fof(axN89_4_5,axiom,+ ( p(n8,n4,n5)+ => ~ p(n9,n4,n5) )).++fof(axN89_4_6,axiom,+ ( p(n8,n4,n6)+ => ~ p(n9,n4,n6) )).++fof(axN89_4_7,axiom,+ ( p(n8,n4,n7)+ => ~ p(n9,n4,n7) )).++fof(axN89_4_8,axiom,+ ( p(n8,n4,n8)+ => ~ p(n9,n4,n8) )).++fof(axN89_4_9,axiom,+ ( p(n8,n4,n9)+ => ~ p(n9,n4,n9) )).++fof(axN12_5_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n2,n5,n1) )).++fof(axN12_5_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n2,n5,n2) )).++fof(axN12_5_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n2,n5,n3) )).++fof(axN12_5_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n2,n5,n4) )).++fof(axN12_5_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n2,n5,n5) )).++fof(axN12_5_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n2,n5,n6) )).++fof(axN12_5_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n2,n5,n7) )).++fof(axN12_5_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n2,n5,n8) )).++fof(axN12_5_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n2,n5,n9) )).++fof(axN13_5_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n3,n5,n1) )).++fof(axN13_5_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n3,n5,n2) )).++fof(axN13_5_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n3,n5,n3) )).++fof(axN13_5_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n3,n5,n4) )).++fof(axN13_5_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n3,n5,n5) )).++fof(axN13_5_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n3,n5,n6) )).++fof(axN13_5_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n3,n5,n7) )).++fof(axN13_5_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n3,n5,n8) )).++fof(axN13_5_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n3,n5,n9) )).++fof(axN14_5_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n4,n5,n1) )).++fof(axN14_5_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n4,n5,n2) )).++fof(axN14_5_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n4,n5,n3) )).++fof(axN14_5_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n4,n5,n4) )).++fof(axN14_5_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n4,n5,n5) )).++fof(axN14_5_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n4,n5,n6) )).++fof(axN14_5_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n4,n5,n7) )).++fof(axN14_5_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n4,n5,n8) )).++fof(axN14_5_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n4,n5,n9) )).++fof(axN15_5_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n5,n5,n1) )).++fof(axN15_5_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n5,n5,n2) )).++fof(axN15_5_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n5,n5,n3) )).++fof(axN15_5_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n5,n5,n4) )).++fof(axN15_5_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n5,n5,n5) )).++fof(axN15_5_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n5,n5,n6) )).++fof(axN15_5_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n5,n5,n7) )).++fof(axN15_5_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n5,n5,n8) )).++fof(axN15_5_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n5,n5,n9) )).++fof(axN16_5_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n6,n5,n1) )).++fof(axN16_5_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n6,n5,n2) )).++fof(axN16_5_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n6,n5,n3) )).++fof(axN16_5_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n6,n5,n4) )).++fof(axN16_5_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n6,n5,n5) )).++fof(axN16_5_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n6,n5,n6) )).++fof(axN16_5_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n6,n5,n7) )).++fof(axN16_5_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n6,n5,n8) )).++fof(axN16_5_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n6,n5,n9) )).++fof(axN17_5_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n7,n5,n1) )).++fof(axN17_5_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n7,n5,n2) )).++fof(axN17_5_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n7,n5,n3) )).++fof(axN17_5_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n7,n5,n4) )).++fof(axN17_5_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n7,n5,n5) )).++fof(axN17_5_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n7,n5,n6) )).++fof(axN17_5_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n7,n5,n7) )).++fof(axN17_5_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n7,n5,n8) )).++fof(axN17_5_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n7,n5,n9) )).++fof(axN18_5_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n8,n5,n1) )).++fof(axN18_5_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n8,n5,n2) )).++fof(axN18_5_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n8,n5,n3) )).++fof(axN18_5_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n8,n5,n4) )).++fof(axN18_5_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n8,n5,n5) )).++fof(axN18_5_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n8,n5,n6) )).++fof(axN18_5_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n8,n5,n7) )).++fof(axN18_5_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n8,n5,n8) )).++fof(axN18_5_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n8,n5,n9) )).++fof(axN19_5_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n9,n5,n1) )).++fof(axN19_5_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n9,n5,n2) )).++fof(axN19_5_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n9,n5,n3) )).++fof(axN19_5_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n9,n5,n4) )).++fof(axN19_5_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n9,n5,n5) )).++fof(axN19_5_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n9,n5,n6) )).++fof(axN19_5_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n9,n5,n7) )).++fof(axN19_5_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n9,n5,n8) )).++fof(axN19_5_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n9,n5,n9) )).++fof(axN23_5_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n3,n5,n1) )).++fof(axN23_5_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n3,n5,n2) )).++fof(axN23_5_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n3,n5,n3) )).++fof(axN23_5_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n3,n5,n4) )).++fof(axN23_5_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n3,n5,n5) )).++fof(axN23_5_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n3,n5,n6) )).++fof(axN23_5_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n3,n5,n7) )).++fof(axN23_5_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n3,n5,n8) )).++fof(axN23_5_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n3,n5,n9) )).++fof(axN24_5_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n4,n5,n1) )).++fof(axN24_5_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n4,n5,n2) )).++fof(axN24_5_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n4,n5,n3) )).++fof(axN24_5_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n4,n5,n4) )).++fof(axN24_5_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n4,n5,n5) )).++fof(axN24_5_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n4,n5,n6) )).++fof(axN24_5_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n4,n5,n7) )).++fof(axN24_5_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n4,n5,n8) )).++fof(axN24_5_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n4,n5,n9) )).++fof(axN25_5_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n5,n5,n1) )).++fof(axN25_5_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n5,n5,n2) )).++fof(axN25_5_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n5,n5,n3) )).++fof(axN25_5_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n5,n5,n4) )).++fof(axN25_5_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n5,n5,n5) )).++fof(axN25_5_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n5,n5,n6) )).++fof(axN25_5_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n5,n5,n7) )).++fof(axN25_5_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n5,n5,n8) )).++fof(axN25_5_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n5,n5,n9) )).++fof(axN26_5_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n6,n5,n1) )).++fof(axN26_5_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n6,n5,n2) )).++fof(axN26_5_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n6,n5,n3) )).++fof(axN26_5_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n6,n5,n4) )).++fof(axN26_5_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n6,n5,n5) )).++fof(axN26_5_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n6,n5,n6) )).++fof(axN26_5_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n6,n5,n7) )).++fof(axN26_5_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n6,n5,n8) )).++fof(axN26_5_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n6,n5,n9) )).++fof(axN27_5_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n7,n5,n1) )).++fof(axN27_5_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n7,n5,n2) )).++fof(axN27_5_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n7,n5,n3) )).++fof(axN27_5_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n7,n5,n4) )).++fof(axN27_5_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n7,n5,n5) )).++fof(axN27_5_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n7,n5,n6) )).++fof(axN27_5_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n7,n5,n7) )).++fof(axN27_5_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n7,n5,n8) )).++fof(axN27_5_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n7,n5,n9) )).++fof(axN28_5_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n8,n5,n1) )).++fof(axN28_5_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n8,n5,n2) )).++fof(axN28_5_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n8,n5,n3) )).++fof(axN28_5_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n8,n5,n4) )).++fof(axN28_5_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n8,n5,n5) )).++fof(axN28_5_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n8,n5,n6) )).++fof(axN28_5_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n8,n5,n7) )).++fof(axN28_5_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n8,n5,n8) )).++fof(axN28_5_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n8,n5,n9) )).++fof(axN29_5_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n9,n5,n1) )).++fof(axN29_5_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n9,n5,n2) )).++fof(axN29_5_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n9,n5,n3) )).++fof(axN29_5_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n9,n5,n4) )).++fof(axN29_5_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n9,n5,n5) )).++fof(axN29_5_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n9,n5,n6) )).++fof(axN29_5_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n9,n5,n7) )).++fof(axN29_5_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n9,n5,n8) )).++fof(axN29_5_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n9,n5,n9) )).++fof(axN34_5_1,axiom,+ ( p(n3,n5,n1)+ => ~ p(n4,n5,n1) )).++fof(axN34_5_2,axiom,+ ( p(n3,n5,n2)+ => ~ p(n4,n5,n2) )).++fof(axN34_5_3,axiom,+ ( p(n3,n5,n3)+ => ~ p(n4,n5,n3) )).++fof(axN34_5_4,axiom,+ ( p(n3,n5,n4)+ => ~ p(n4,n5,n4) )).++fof(axN34_5_5,axiom,+ ( p(n3,n5,n5)+ => ~ p(n4,n5,n5) )).++fof(axN34_5_6,axiom,+ ( p(n3,n5,n6)+ => ~ p(n4,n5,n6) )).++fof(axN34_5_7,axiom,+ ( p(n3,n5,n7)+ => ~ p(n4,n5,n7) )).++fof(axN34_5_8,axiom,+ ( p(n3,n5,n8)+ => ~ p(n4,n5,n8) )).++fof(axN34_5_9,axiom,+ ( p(n3,n5,n9)+ => ~ p(n4,n5,n9) )).++fof(axN35_5_1,axiom,+ ( p(n3,n5,n1)+ => ~ p(n5,n5,n1) )).++fof(axN35_5_2,axiom,+ ( p(n3,n5,n2)+ => ~ p(n5,n5,n2) )).++fof(axN35_5_3,axiom,+ ( p(n3,n5,n3)+ => ~ p(n5,n5,n3) )).++fof(axN35_5_4,axiom,+ ( p(n3,n5,n4)+ => ~ p(n5,n5,n4) )).++fof(axN35_5_5,axiom,+ ( p(n3,n5,n5)+ => ~ p(n5,n5,n5) )).++fof(axN35_5_6,axiom,+ ( p(n3,n5,n6)+ => ~ p(n5,n5,n6) )).++fof(axN35_5_7,axiom,+ ( p(n3,n5,n7)+ => ~ p(n5,n5,n7) )).++fof(axN35_5_8,axiom,+ ( p(n3,n5,n8)+ => ~ p(n5,n5,n8) )).++fof(axN35_5_9,axiom,+ ( p(n3,n5,n9)+ => ~ p(n5,n5,n9) )).++fof(axN36_5_1,axiom,+ ( p(n3,n5,n1)+ => ~ p(n6,n5,n1) )).++fof(axN36_5_2,axiom,+ ( p(n3,n5,n2)+ => ~ p(n6,n5,n2) )).++fof(axN36_5_3,axiom,+ ( p(n3,n5,n3)+ => ~ p(n6,n5,n3) )).++fof(axN36_5_4,axiom,+ ( p(n3,n5,n4)+ => ~ p(n6,n5,n4) )).++fof(axN36_5_5,axiom,+ ( p(n3,n5,n5)+ => ~ p(n6,n5,n5) )).++fof(axN36_5_6,axiom,+ ( p(n3,n5,n6)+ => ~ p(n6,n5,n6) )).++fof(axN36_5_7,axiom,+ ( p(n3,n5,n7)+ => ~ p(n6,n5,n7) )).++fof(axN36_5_8,axiom,+ ( p(n3,n5,n8)+ => ~ p(n6,n5,n8) )).++fof(axN36_5_9,axiom,+ ( p(n3,n5,n9)+ => ~ p(n6,n5,n9) )).++fof(axN37_5_1,axiom,+ ( p(n3,n5,n1)+ => ~ p(n7,n5,n1) )).++fof(axN37_5_2,axiom,+ ( p(n3,n5,n2)+ => ~ p(n7,n5,n2) )).++fof(axN37_5_3,axiom,+ ( p(n3,n5,n3)+ => ~ p(n7,n5,n3) )).++fof(axN37_5_4,axiom,+ ( p(n3,n5,n4)+ => ~ p(n7,n5,n4) )).++fof(axN37_5_5,axiom,+ ( p(n3,n5,n5)+ => ~ p(n7,n5,n5) )).++fof(axN37_5_6,axiom,+ ( p(n3,n5,n6)+ => ~ p(n7,n5,n6) )).++fof(axN37_5_7,axiom,+ ( p(n3,n5,n7)+ => ~ p(n7,n5,n7) )).++fof(axN37_5_8,axiom,+ ( p(n3,n5,n8)+ => ~ p(n7,n5,n8) )).++fof(axN37_5_9,axiom,+ ( p(n3,n5,n9)+ => ~ p(n7,n5,n9) )).++fof(axN38_5_1,axiom,+ ( p(n3,n5,n1)+ => ~ p(n8,n5,n1) )).++fof(axN38_5_2,axiom,+ ( p(n3,n5,n2)+ => ~ p(n8,n5,n2) )).++fof(axN38_5_3,axiom,+ ( p(n3,n5,n3)+ => ~ p(n8,n5,n3) )).++fof(axN38_5_4,axiom,+ ( p(n3,n5,n4)+ => ~ p(n8,n5,n4) )).++fof(axN38_5_5,axiom,+ ( p(n3,n5,n5)+ => ~ p(n8,n5,n5) )).++fof(axN38_5_6,axiom,+ ( p(n3,n5,n6)+ => ~ p(n8,n5,n6) )).++fof(axN38_5_7,axiom,+ ( p(n3,n5,n7)+ => ~ p(n8,n5,n7) )).++fof(axN38_5_8,axiom,+ ( p(n3,n5,n8)+ => ~ p(n8,n5,n8) )).++fof(axN38_5_9,axiom,+ ( p(n3,n5,n9)+ => ~ p(n8,n5,n9) )).++fof(axN39_5_1,axiom,+ ( p(n3,n5,n1)+ => ~ p(n9,n5,n1) )).++fof(axN39_5_2,axiom,+ ( p(n3,n5,n2)+ => ~ p(n9,n5,n2) )).++fof(axN39_5_3,axiom,+ ( p(n3,n5,n3)+ => ~ p(n9,n5,n3) )).++fof(axN39_5_4,axiom,+ ( p(n3,n5,n4)+ => ~ p(n9,n5,n4) )).++fof(axN39_5_5,axiom,+ ( p(n3,n5,n5)+ => ~ p(n9,n5,n5) )).++fof(axN39_5_6,axiom,+ ( p(n3,n5,n6)+ => ~ p(n9,n5,n6) )).++fof(axN39_5_7,axiom,+ ( p(n3,n5,n7)+ => ~ p(n9,n5,n7) )).++fof(axN39_5_8,axiom,+ ( p(n3,n5,n8)+ => ~ p(n9,n5,n8) )).++fof(axN39_5_9,axiom,+ ( p(n3,n5,n9)+ => ~ p(n9,n5,n9) )).++fof(axN45_5_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n5,n5,n1) )).++fof(axN45_5_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n5,n5,n2) )).++fof(axN45_5_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n5,n5,n3) )).++fof(axN45_5_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n5,n5,n4) )).++fof(axN45_5_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n5,n5,n5) )).++fof(axN45_5_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n5,n5,n6) )).++fof(axN45_5_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n5,n5,n7) )).++fof(axN45_5_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n5,n5,n8) )).++fof(axN45_5_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n5,n5,n9) )).++fof(axN46_5_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n6,n5,n1) )).++fof(axN46_5_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n6,n5,n2) )).++fof(axN46_5_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n6,n5,n3) )).++fof(axN46_5_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n6,n5,n4) )).++fof(axN46_5_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n6,n5,n5) )).++fof(axN46_5_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n6,n5,n6) )).++fof(axN46_5_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n6,n5,n7) )).++fof(axN46_5_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n6,n5,n8) )).++fof(axN46_5_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n6,n5,n9) )).++fof(axN47_5_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n7,n5,n1) )).++fof(axN47_5_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n7,n5,n2) )).++fof(axN47_5_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n7,n5,n3) )).++fof(axN47_5_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n7,n5,n4) )).++fof(axN47_5_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n7,n5,n5) )).++fof(axN47_5_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n7,n5,n6) )).++fof(axN47_5_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n7,n5,n7) )).++fof(axN47_5_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n7,n5,n8) )).++fof(axN47_5_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n7,n5,n9) )).++fof(axN48_5_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n8,n5,n1) )).++fof(axN48_5_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n8,n5,n2) )).++fof(axN48_5_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n8,n5,n3) )).++fof(axN48_5_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n8,n5,n4) )).++fof(axN48_5_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n8,n5,n5) )).++fof(axN48_5_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n8,n5,n6) )).++fof(axN48_5_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n8,n5,n7) )).++fof(axN48_5_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n8,n5,n8) )).++fof(axN48_5_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n8,n5,n9) )).++fof(axN49_5_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n9,n5,n1) )).++fof(axN49_5_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n9,n5,n2) )).++fof(axN49_5_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n9,n5,n3) )).++fof(axN49_5_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n9,n5,n4) )).++fof(axN49_5_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n9,n5,n5) )).++fof(axN49_5_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n9,n5,n6) )).++fof(axN49_5_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n9,n5,n7) )).++fof(axN49_5_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n9,n5,n8) )).++fof(axN49_5_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n9,n5,n9) )).++fof(axN56_5_1,axiom,+ ( p(n5,n5,n1)+ => ~ p(n6,n5,n1) )).++fof(axN56_5_2,axiom,+ ( p(n5,n5,n2)+ => ~ p(n6,n5,n2) )).++fof(axN56_5_3,axiom,+ ( p(n5,n5,n3)+ => ~ p(n6,n5,n3) )).++fof(axN56_5_4,axiom,+ ( p(n5,n5,n4)+ => ~ p(n6,n5,n4) )).++fof(axN56_5_5,axiom,+ ( p(n5,n5,n5)+ => ~ p(n6,n5,n5) )).++fof(axN56_5_6,axiom,+ ( p(n5,n5,n6)+ => ~ p(n6,n5,n6) )).++fof(axN56_5_7,axiom,+ ( p(n5,n5,n7)+ => ~ p(n6,n5,n7) )).++fof(axN56_5_8,axiom,+ ( p(n5,n5,n8)+ => ~ p(n6,n5,n8) )).++fof(axN56_5_9,axiom,+ ( p(n5,n5,n9)+ => ~ p(n6,n5,n9) )).++fof(axN57_5_1,axiom,+ ( p(n5,n5,n1)+ => ~ p(n7,n5,n1) )).++fof(axN57_5_2,axiom,+ ( p(n5,n5,n2)+ => ~ p(n7,n5,n2) )).++fof(axN57_5_3,axiom,+ ( p(n5,n5,n3)+ => ~ p(n7,n5,n3) )).++fof(axN57_5_4,axiom,+ ( p(n5,n5,n4)+ => ~ p(n7,n5,n4) )).++fof(axN57_5_5,axiom,+ ( p(n5,n5,n5)+ => ~ p(n7,n5,n5) )).++fof(axN57_5_6,axiom,+ ( p(n5,n5,n6)+ => ~ p(n7,n5,n6) )).++fof(axN57_5_7,axiom,+ ( p(n5,n5,n7)+ => ~ p(n7,n5,n7) )).++fof(axN57_5_8,axiom,+ ( p(n5,n5,n8)+ => ~ p(n7,n5,n8) )).++fof(axN57_5_9,axiom,+ ( p(n5,n5,n9)+ => ~ p(n7,n5,n9) )).++fof(axN58_5_1,axiom,+ ( p(n5,n5,n1)+ => ~ p(n8,n5,n1) )).++fof(axN58_5_2,axiom,+ ( p(n5,n5,n2)+ => ~ p(n8,n5,n2) )).++fof(axN58_5_3,axiom,+ ( p(n5,n5,n3)+ => ~ p(n8,n5,n3) )).++fof(axN58_5_4,axiom,+ ( p(n5,n5,n4)+ => ~ p(n8,n5,n4) )).++fof(axN58_5_5,axiom,+ ( p(n5,n5,n5)+ => ~ p(n8,n5,n5) )).++fof(axN58_5_6,axiom,+ ( p(n5,n5,n6)+ => ~ p(n8,n5,n6) )).++fof(axN58_5_7,axiom,+ ( p(n5,n5,n7)+ => ~ p(n8,n5,n7) )).++fof(axN58_5_8,axiom,+ ( p(n5,n5,n8)+ => ~ p(n8,n5,n8) )).++fof(axN58_5_9,axiom,+ ( p(n5,n5,n9)+ => ~ p(n8,n5,n9) )).++fof(axN59_5_1,axiom,+ ( p(n5,n5,n1)+ => ~ p(n9,n5,n1) )).++fof(axN59_5_2,axiom,+ ( p(n5,n5,n2)+ => ~ p(n9,n5,n2) )).++fof(axN59_5_3,axiom,+ ( p(n5,n5,n3)+ => ~ p(n9,n5,n3) )).++fof(axN59_5_4,axiom,+ ( p(n5,n5,n4)+ => ~ p(n9,n5,n4) )).++fof(axN59_5_5,axiom,+ ( p(n5,n5,n5)+ => ~ p(n9,n5,n5) )).++fof(axN59_5_6,axiom,+ ( p(n5,n5,n6)+ => ~ p(n9,n5,n6) )).++fof(axN59_5_7,axiom,+ ( p(n5,n5,n7)+ => ~ p(n9,n5,n7) )).++fof(axN59_5_8,axiom,+ ( p(n5,n5,n8)+ => ~ p(n9,n5,n8) )).++fof(axN59_5_9,axiom,+ ( p(n5,n5,n9)+ => ~ p(n9,n5,n9) )).++fof(axN67_5_1,axiom,+ ( p(n6,n5,n1)+ => ~ p(n7,n5,n1) )).++fof(axN67_5_2,axiom,+ ( p(n6,n5,n2)+ => ~ p(n7,n5,n2) )).++fof(axN67_5_3,axiom,+ ( p(n6,n5,n3)+ => ~ p(n7,n5,n3) )).++fof(axN67_5_4,axiom,+ ( p(n6,n5,n4)+ => ~ p(n7,n5,n4) )).++fof(axN67_5_5,axiom,+ ( p(n6,n5,n5)+ => ~ p(n7,n5,n5) )).++fof(axN67_5_6,axiom,+ ( p(n6,n5,n6)+ => ~ p(n7,n5,n6) )).++fof(axN67_5_7,axiom,+ ( p(n6,n5,n7)+ => ~ p(n7,n5,n7) )).++fof(axN67_5_8,axiom,+ ( p(n6,n5,n8)+ => ~ p(n7,n5,n8) )).++fof(axN67_5_9,axiom,+ ( p(n6,n5,n9)+ => ~ p(n7,n5,n9) )).++fof(axN68_5_1,axiom,+ ( p(n6,n5,n1)+ => ~ p(n8,n5,n1) )).++fof(axN68_5_2,axiom,+ ( p(n6,n5,n2)+ => ~ p(n8,n5,n2) )).++fof(axN68_5_3,axiom,+ ( p(n6,n5,n3)+ => ~ p(n8,n5,n3) )).++fof(axN68_5_4,axiom,+ ( p(n6,n5,n4)+ => ~ p(n8,n5,n4) )).++fof(axN68_5_5,axiom,+ ( p(n6,n5,n5)+ => ~ p(n8,n5,n5) )).++fof(axN68_5_6,axiom,+ ( p(n6,n5,n6)+ => ~ p(n8,n5,n6) )).++fof(axN68_5_7,axiom,+ ( p(n6,n5,n7)+ => ~ p(n8,n5,n7) )).++fof(axN68_5_8,axiom,+ ( p(n6,n5,n8)+ => ~ p(n8,n5,n8) )).++fof(axN68_5_9,axiom,+ ( p(n6,n5,n9)+ => ~ p(n8,n5,n9) )).++fof(axN69_5_1,axiom,+ ( p(n6,n5,n1)+ => ~ p(n9,n5,n1) )).++fof(axN69_5_2,axiom,+ ( p(n6,n5,n2)+ => ~ p(n9,n5,n2) )).++fof(axN69_5_3,axiom,+ ( p(n6,n5,n3)+ => ~ p(n9,n5,n3) )).++fof(axN69_5_4,axiom,+ ( p(n6,n5,n4)+ => ~ p(n9,n5,n4) )).++fof(axN69_5_5,axiom,+ ( p(n6,n5,n5)+ => ~ p(n9,n5,n5) )).++fof(axN69_5_6,axiom,+ ( p(n6,n5,n6)+ => ~ p(n9,n5,n6) )).++fof(axN69_5_7,axiom,+ ( p(n6,n5,n7)+ => ~ p(n9,n5,n7) )).++fof(axN69_5_8,axiom,+ ( p(n6,n5,n8)+ => ~ p(n9,n5,n8) )).++fof(axN69_5_9,axiom,+ ( p(n6,n5,n9)+ => ~ p(n9,n5,n9) )).++fof(axN78_5_1,axiom,+ ( p(n7,n5,n1)+ => ~ p(n8,n5,n1) )).++fof(axN78_5_2,axiom,+ ( p(n7,n5,n2)+ => ~ p(n8,n5,n2) )).++fof(axN78_5_3,axiom,+ ( p(n7,n5,n3)+ => ~ p(n8,n5,n3) )).++fof(axN78_5_4,axiom,+ ( p(n7,n5,n4)+ => ~ p(n8,n5,n4) )).++fof(axN78_5_5,axiom,+ ( p(n7,n5,n5)+ => ~ p(n8,n5,n5) )).++fof(axN78_5_6,axiom,+ ( p(n7,n5,n6)+ => ~ p(n8,n5,n6) )).++fof(axN78_5_7,axiom,+ ( p(n7,n5,n7)+ => ~ p(n8,n5,n7) )).++fof(axN78_5_8,axiom,+ ( p(n7,n5,n8)+ => ~ p(n8,n5,n8) )).++fof(axN78_5_9,axiom,+ ( p(n7,n5,n9)+ => ~ p(n8,n5,n9) )).++fof(axN79_5_1,axiom,+ ( p(n7,n5,n1)+ => ~ p(n9,n5,n1) )).++fof(axN79_5_2,axiom,+ ( p(n7,n5,n2)+ => ~ p(n9,n5,n2) )).++fof(axN79_5_3,axiom,+ ( p(n7,n5,n3)+ => ~ p(n9,n5,n3) )).++fof(axN79_5_4,axiom,+ ( p(n7,n5,n4)+ => ~ p(n9,n5,n4) )).++fof(axN79_5_5,axiom,+ ( p(n7,n5,n5)+ => ~ p(n9,n5,n5) )).++fof(axN79_5_6,axiom,+ ( p(n7,n5,n6)+ => ~ p(n9,n5,n6) )).++fof(axN79_5_7,axiom,+ ( p(n7,n5,n7)+ => ~ p(n9,n5,n7) )).++fof(axN79_5_8,axiom,+ ( p(n7,n5,n8)+ => ~ p(n9,n5,n8) )).++fof(axN79_5_9,axiom,+ ( p(n7,n5,n9)+ => ~ p(n9,n5,n9) )).++fof(axN89_5_1,axiom,+ ( p(n8,n5,n1)+ => ~ p(n9,n5,n1) )).++fof(axN89_5_2,axiom,+ ( p(n8,n5,n2)+ => ~ p(n9,n5,n2) )).++fof(axN89_5_3,axiom,+ ( p(n8,n5,n3)+ => ~ p(n9,n5,n3) )).++fof(axN89_5_4,axiom,+ ( p(n8,n5,n4)+ => ~ p(n9,n5,n4) )).++fof(axN89_5_5,axiom,+ ( p(n8,n5,n5)+ => ~ p(n9,n5,n5) )).++fof(axN89_5_6,axiom,+ ( p(n8,n5,n6)+ => ~ p(n9,n5,n6) )).++fof(axN89_5_7,axiom,+ ( p(n8,n5,n7)+ => ~ p(n9,n5,n7) )).++fof(axN89_5_8,axiom,+ ( p(n8,n5,n8)+ => ~ p(n9,n5,n8) )).++fof(axN89_5_9,axiom,+ ( p(n8,n5,n9)+ => ~ p(n9,n5,n9) )).++fof(axN12_6_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n2,n6,n1) )).++fof(axN12_6_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n2,n6,n2) )).++fof(axN12_6_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n2,n6,n3) )).++fof(axN12_6_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n2,n6,n4) )).++fof(axN12_6_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n2,n6,n5) )).++fof(axN12_6_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n2,n6,n6) )).++fof(axN12_6_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n2,n6,n7) )).++fof(axN12_6_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n2,n6,n8) )).++fof(axN12_6_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n2,n6,n9) )).++fof(axN13_6_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n3,n6,n1) )).++fof(axN13_6_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n3,n6,n2) )).++fof(axN13_6_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n3,n6,n3) )).++fof(axN13_6_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n3,n6,n4) )).++fof(axN13_6_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n3,n6,n5) )).++fof(axN13_6_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n3,n6,n6) )).++fof(axN13_6_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n3,n6,n7) )).++fof(axN13_6_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n3,n6,n8) )).++fof(axN13_6_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n3,n6,n9) )).++fof(axN14_6_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n4,n6,n1) )).++fof(axN14_6_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n4,n6,n2) )).++fof(axN14_6_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n4,n6,n3) )).++fof(axN14_6_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n4,n6,n4) )).++fof(axN14_6_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n4,n6,n5) )).++fof(axN14_6_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n4,n6,n6) )).++fof(axN14_6_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n4,n6,n7) )).++fof(axN14_6_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n4,n6,n8) )).++fof(axN14_6_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n4,n6,n9) )).++fof(axN15_6_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n5,n6,n1) )).++fof(axN15_6_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n5,n6,n2) )).++fof(axN15_6_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n5,n6,n3) )).++fof(axN15_6_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n5,n6,n4) )).++fof(axN15_6_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n5,n6,n5) )).++fof(axN15_6_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n5,n6,n6) )).++fof(axN15_6_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n5,n6,n7) )).++fof(axN15_6_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n5,n6,n8) )).++fof(axN15_6_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n5,n6,n9) )).++fof(axN16_6_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n6,n6,n1) )).++fof(axN16_6_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n6,n6,n2) )).++fof(axN16_6_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n6,n6,n3) )).++fof(axN16_6_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n6,n6,n4) )).++fof(axN16_6_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n6,n6,n5) )).++fof(axN16_6_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n6,n6,n6) )).++fof(axN16_6_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n6,n6,n7) )).++fof(axN16_6_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n6,n6,n8) )).++fof(axN16_6_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n6,n6,n9) )).++fof(axN17_6_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n7,n6,n1) )).++fof(axN17_6_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n7,n6,n2) )).++fof(axN17_6_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n7,n6,n3) )).++fof(axN17_6_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n7,n6,n4) )).++fof(axN17_6_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n7,n6,n5) )).++fof(axN17_6_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n7,n6,n6) )).++fof(axN17_6_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n7,n6,n7) )).++fof(axN17_6_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n7,n6,n8) )).++fof(axN17_6_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n7,n6,n9) )).++fof(axN18_6_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n8,n6,n1) )).++fof(axN18_6_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n8,n6,n2) )).++fof(axN18_6_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n8,n6,n3) )).++fof(axN18_6_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n8,n6,n4) )).++fof(axN18_6_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n8,n6,n5) )).++fof(axN18_6_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n8,n6,n6) )).++fof(axN18_6_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n8,n6,n7) )).++fof(axN18_6_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n8,n6,n8) )).++fof(axN18_6_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n8,n6,n9) )).++fof(axN19_6_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n9,n6,n1) )).++fof(axN19_6_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n9,n6,n2) )).++fof(axN19_6_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n9,n6,n3) )).++fof(axN19_6_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n9,n6,n4) )).++fof(axN19_6_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n9,n6,n5) )).++fof(axN19_6_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n9,n6,n6) )).++fof(axN19_6_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n9,n6,n7) )).++fof(axN19_6_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n9,n6,n8) )).++fof(axN19_6_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n9,n6,n9) )).++fof(axN23_6_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n3,n6,n1) )).++fof(axN23_6_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n3,n6,n2) )).++fof(axN23_6_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n3,n6,n3) )).++fof(axN23_6_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n3,n6,n4) )).++fof(axN23_6_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n3,n6,n5) )).++fof(axN23_6_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n3,n6,n6) )).++fof(axN23_6_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n3,n6,n7) )).++fof(axN23_6_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n3,n6,n8) )).++fof(axN23_6_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n3,n6,n9) )).++fof(axN24_6_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n4,n6,n1) )).++fof(axN24_6_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n4,n6,n2) )).++fof(axN24_6_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n4,n6,n3) )).++fof(axN24_6_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n4,n6,n4) )).++fof(axN24_6_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n4,n6,n5) )).++fof(axN24_6_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n4,n6,n6) )).++fof(axN24_6_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n4,n6,n7) )).++fof(axN24_6_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n4,n6,n8) )).++fof(axN24_6_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n4,n6,n9) )).++fof(axN25_6_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n5,n6,n1) )).++fof(axN25_6_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n5,n6,n2) )).++fof(axN25_6_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n5,n6,n3) )).++fof(axN25_6_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n5,n6,n4) )).++fof(axN25_6_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n5,n6,n5) )).++fof(axN25_6_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n5,n6,n6) )).++fof(axN25_6_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n5,n6,n7) )).++fof(axN25_6_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n5,n6,n8) )).++fof(axN25_6_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n5,n6,n9) )).++fof(axN26_6_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n6,n6,n1) )).++fof(axN26_6_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n6,n6,n2) )).++fof(axN26_6_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n6,n6,n3) )).++fof(axN26_6_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n6,n6,n4) )).++fof(axN26_6_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n6,n6,n5) )).++fof(axN26_6_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n6,n6,n6) )).++fof(axN26_6_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n6,n6,n7) )).++fof(axN26_6_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n6,n6,n8) )).++fof(axN26_6_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n6,n6,n9) )).++fof(axN27_6_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n7,n6,n1) )).++fof(axN27_6_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n7,n6,n2) )).++fof(axN27_6_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n7,n6,n3) )).++fof(axN27_6_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n7,n6,n4) )).++fof(axN27_6_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n7,n6,n5) )).++fof(axN27_6_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n7,n6,n6) )).++fof(axN27_6_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n7,n6,n7) )).++fof(axN27_6_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n7,n6,n8) )).++fof(axN27_6_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n7,n6,n9) )).++fof(axN28_6_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n8,n6,n1) )).++fof(axN28_6_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n8,n6,n2) )).++fof(axN28_6_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n8,n6,n3) )).++fof(axN28_6_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n8,n6,n4) )).++fof(axN28_6_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n8,n6,n5) )).++fof(axN28_6_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n8,n6,n6) )).++fof(axN28_6_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n8,n6,n7) )).++fof(axN28_6_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n8,n6,n8) )).++fof(axN28_6_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n8,n6,n9) )).++fof(axN29_6_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n9,n6,n1) )).++fof(axN29_6_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n9,n6,n2) )).++fof(axN29_6_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n9,n6,n3) )).++fof(axN29_6_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n9,n6,n4) )).++fof(axN29_6_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n9,n6,n5) )).++fof(axN29_6_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n9,n6,n6) )).++fof(axN29_6_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n9,n6,n7) )).++fof(axN29_6_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n9,n6,n8) )).++fof(axN29_6_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n9,n6,n9) )).++fof(axN34_6_1,axiom,+ ( p(n3,n6,n1)+ => ~ p(n4,n6,n1) )).++fof(axN34_6_2,axiom,+ ( p(n3,n6,n2)+ => ~ p(n4,n6,n2) )).++fof(axN34_6_3,axiom,+ ( p(n3,n6,n3)+ => ~ p(n4,n6,n3) )).++fof(axN34_6_4,axiom,+ ( p(n3,n6,n4)+ => ~ p(n4,n6,n4) )).++fof(axN34_6_5,axiom,+ ( p(n3,n6,n5)+ => ~ p(n4,n6,n5) )).++fof(axN34_6_6,axiom,+ ( p(n3,n6,n6)+ => ~ p(n4,n6,n6) )).++fof(axN34_6_7,axiom,+ ( p(n3,n6,n7)+ => ~ p(n4,n6,n7) )).++fof(axN34_6_8,axiom,+ ( p(n3,n6,n8)+ => ~ p(n4,n6,n8) )).++fof(axN34_6_9,axiom,+ ( p(n3,n6,n9)+ => ~ p(n4,n6,n9) )).++fof(axN35_6_1,axiom,+ ( p(n3,n6,n1)+ => ~ p(n5,n6,n1) )).++fof(axN35_6_2,axiom,+ ( p(n3,n6,n2)+ => ~ p(n5,n6,n2) )).++fof(axN35_6_3,axiom,+ ( p(n3,n6,n3)+ => ~ p(n5,n6,n3) )).++fof(axN35_6_4,axiom,+ ( p(n3,n6,n4)+ => ~ p(n5,n6,n4) )).++fof(axN35_6_5,axiom,+ ( p(n3,n6,n5)+ => ~ p(n5,n6,n5) )).++fof(axN35_6_6,axiom,+ ( p(n3,n6,n6)+ => ~ p(n5,n6,n6) )).++fof(axN35_6_7,axiom,+ ( p(n3,n6,n7)+ => ~ p(n5,n6,n7) )).++fof(axN35_6_8,axiom,+ ( p(n3,n6,n8)+ => ~ p(n5,n6,n8) )).++fof(axN35_6_9,axiom,+ ( p(n3,n6,n9)+ => ~ p(n5,n6,n9) )).++fof(axN36_6_1,axiom,+ ( p(n3,n6,n1)+ => ~ p(n6,n6,n1) )).++fof(axN36_6_2,axiom,+ ( p(n3,n6,n2)+ => ~ p(n6,n6,n2) )).++fof(axN36_6_3,axiom,+ ( p(n3,n6,n3)+ => ~ p(n6,n6,n3) )).++fof(axN36_6_4,axiom,+ ( p(n3,n6,n4)+ => ~ p(n6,n6,n4) )).++fof(axN36_6_5,axiom,+ ( p(n3,n6,n5)+ => ~ p(n6,n6,n5) )).++fof(axN36_6_6,axiom,+ ( p(n3,n6,n6)+ => ~ p(n6,n6,n6) )).++fof(axN36_6_7,axiom,+ ( p(n3,n6,n7)+ => ~ p(n6,n6,n7) )).++fof(axN36_6_8,axiom,+ ( p(n3,n6,n8)+ => ~ p(n6,n6,n8) )).++fof(axN36_6_9,axiom,+ ( p(n3,n6,n9)+ => ~ p(n6,n6,n9) )).++fof(axN37_6_1,axiom,+ ( p(n3,n6,n1)+ => ~ p(n7,n6,n1) )).++fof(axN37_6_2,axiom,+ ( p(n3,n6,n2)+ => ~ p(n7,n6,n2) )).++fof(axN37_6_3,axiom,+ ( p(n3,n6,n3)+ => ~ p(n7,n6,n3) )).++fof(axN37_6_4,axiom,+ ( p(n3,n6,n4)+ => ~ p(n7,n6,n4) )).++fof(axN37_6_5,axiom,+ ( p(n3,n6,n5)+ => ~ p(n7,n6,n5) )).++fof(axN37_6_6,axiom,+ ( p(n3,n6,n6)+ => ~ p(n7,n6,n6) )).++fof(axN37_6_7,axiom,+ ( p(n3,n6,n7)+ => ~ p(n7,n6,n7) )).++fof(axN37_6_8,axiom,+ ( p(n3,n6,n8)+ => ~ p(n7,n6,n8) )).++fof(axN37_6_9,axiom,+ ( p(n3,n6,n9)+ => ~ p(n7,n6,n9) )).++fof(axN38_6_1,axiom,+ ( p(n3,n6,n1)+ => ~ p(n8,n6,n1) )).++fof(axN38_6_2,axiom,+ ( p(n3,n6,n2)+ => ~ p(n8,n6,n2) )).++fof(axN38_6_3,axiom,+ ( p(n3,n6,n3)+ => ~ p(n8,n6,n3) )).++fof(axN38_6_4,axiom,+ ( p(n3,n6,n4)+ => ~ p(n8,n6,n4) )).++fof(axN38_6_5,axiom,+ ( p(n3,n6,n5)+ => ~ p(n8,n6,n5) )).++fof(axN38_6_6,axiom,+ ( p(n3,n6,n6)+ => ~ p(n8,n6,n6) )).++fof(axN38_6_7,axiom,+ ( p(n3,n6,n7)+ => ~ p(n8,n6,n7) )).++fof(axN38_6_8,axiom,+ ( p(n3,n6,n8)+ => ~ p(n8,n6,n8) )).++fof(axN38_6_9,axiom,+ ( p(n3,n6,n9)+ => ~ p(n8,n6,n9) )).++fof(axN39_6_1,axiom,+ ( p(n3,n6,n1)+ => ~ p(n9,n6,n1) )).++fof(axN39_6_2,axiom,+ ( p(n3,n6,n2)+ => ~ p(n9,n6,n2) )).++fof(axN39_6_3,axiom,+ ( p(n3,n6,n3)+ => ~ p(n9,n6,n3) )).++fof(axN39_6_4,axiom,+ ( p(n3,n6,n4)+ => ~ p(n9,n6,n4) )).++fof(axN39_6_5,axiom,+ ( p(n3,n6,n5)+ => ~ p(n9,n6,n5) )).++fof(axN39_6_6,axiom,+ ( p(n3,n6,n6)+ => ~ p(n9,n6,n6) )).++fof(axN39_6_7,axiom,+ ( p(n3,n6,n7)+ => ~ p(n9,n6,n7) )).++fof(axN39_6_8,axiom,+ ( p(n3,n6,n8)+ => ~ p(n9,n6,n8) )).++fof(axN39_6_9,axiom,+ ( p(n3,n6,n9)+ => ~ p(n9,n6,n9) )).++fof(axN45_6_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n5,n6,n1) )).++fof(axN45_6_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n5,n6,n2) )).++fof(axN45_6_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n5,n6,n3) )).++fof(axN45_6_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n5,n6,n4) )).++fof(axN45_6_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n5,n6,n5) )).++fof(axN45_6_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n5,n6,n6) )).++fof(axN45_6_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n5,n6,n7) )).++fof(axN45_6_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n5,n6,n8) )).++fof(axN45_6_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n5,n6,n9) )).++fof(axN46_6_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n6,n6,n1) )).++fof(axN46_6_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n6,n6,n2) )).++fof(axN46_6_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n6,n6,n3) )).++fof(axN46_6_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n6,n6,n4) )).++fof(axN46_6_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n6,n6,n5) )).++fof(axN46_6_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n6,n6,n6) )).++fof(axN46_6_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n6,n6,n7) )).++fof(axN46_6_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n6,n6,n8) )).++fof(axN46_6_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n6,n6,n9) )).++fof(axN47_6_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n7,n6,n1) )).++fof(axN47_6_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n7,n6,n2) )).++fof(axN47_6_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n7,n6,n3) )).++fof(axN47_6_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n7,n6,n4) )).++fof(axN47_6_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n7,n6,n5) )).++fof(axN47_6_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n7,n6,n6) )).++fof(axN47_6_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n7,n6,n7) )).++fof(axN47_6_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n7,n6,n8) )).++fof(axN47_6_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n7,n6,n9) )).++fof(axN48_6_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n8,n6,n1) )).++fof(axN48_6_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n8,n6,n2) )).++fof(axN48_6_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n8,n6,n3) )).++fof(axN48_6_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n8,n6,n4) )).++fof(axN48_6_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n8,n6,n5) )).++fof(axN48_6_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n8,n6,n6) )).++fof(axN48_6_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n8,n6,n7) )).++fof(axN48_6_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n8,n6,n8) )).++fof(axN48_6_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n8,n6,n9) )).++fof(axN49_6_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n9,n6,n1) )).++fof(axN49_6_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n9,n6,n2) )).++fof(axN49_6_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n9,n6,n3) )).++fof(axN49_6_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n9,n6,n4) )).++fof(axN49_6_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n9,n6,n5) )).++fof(axN49_6_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n9,n6,n6) )).++fof(axN49_6_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n9,n6,n7) )).++fof(axN49_6_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n9,n6,n8) )).++fof(axN49_6_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n9,n6,n9) )).++fof(axN56_6_1,axiom,+ ( p(n5,n6,n1)+ => ~ p(n6,n6,n1) )).++fof(axN56_6_2,axiom,+ ( p(n5,n6,n2)+ => ~ p(n6,n6,n2) )).++fof(axN56_6_3,axiom,+ ( p(n5,n6,n3)+ => ~ p(n6,n6,n3) )).++fof(axN56_6_4,axiom,+ ( p(n5,n6,n4)+ => ~ p(n6,n6,n4) )).++fof(axN56_6_5,axiom,+ ( p(n5,n6,n5)+ => ~ p(n6,n6,n5) )).++fof(axN56_6_6,axiom,+ ( p(n5,n6,n6)+ => ~ p(n6,n6,n6) )).++fof(axN56_6_7,axiom,+ ( p(n5,n6,n7)+ => ~ p(n6,n6,n7) )).++fof(axN56_6_8,axiom,+ ( p(n5,n6,n8)+ => ~ p(n6,n6,n8) )).++fof(axN56_6_9,axiom,+ ( p(n5,n6,n9)+ => ~ p(n6,n6,n9) )).++fof(axN57_6_1,axiom,+ ( p(n5,n6,n1)+ => ~ p(n7,n6,n1) )).++fof(axN57_6_2,axiom,+ ( p(n5,n6,n2)+ => ~ p(n7,n6,n2) )).++fof(axN57_6_3,axiom,+ ( p(n5,n6,n3)+ => ~ p(n7,n6,n3) )).++fof(axN57_6_4,axiom,+ ( p(n5,n6,n4)+ => ~ p(n7,n6,n4) )).++fof(axN57_6_5,axiom,+ ( p(n5,n6,n5)+ => ~ p(n7,n6,n5) )).++fof(axN57_6_6,axiom,+ ( p(n5,n6,n6)+ => ~ p(n7,n6,n6) )).++fof(axN57_6_7,axiom,+ ( p(n5,n6,n7)+ => ~ p(n7,n6,n7) )).++fof(axN57_6_8,axiom,+ ( p(n5,n6,n8)+ => ~ p(n7,n6,n8) )).++fof(axN57_6_9,axiom,+ ( p(n5,n6,n9)+ => ~ p(n7,n6,n9) )).++fof(axN58_6_1,axiom,+ ( p(n5,n6,n1)+ => ~ p(n8,n6,n1) )).++fof(axN58_6_2,axiom,+ ( p(n5,n6,n2)+ => ~ p(n8,n6,n2) )).++fof(axN58_6_3,axiom,+ ( p(n5,n6,n3)+ => ~ p(n8,n6,n3) )).++fof(axN58_6_4,axiom,+ ( p(n5,n6,n4)+ => ~ p(n8,n6,n4) )).++fof(axN58_6_5,axiom,+ ( p(n5,n6,n5)+ => ~ p(n8,n6,n5) )).++fof(axN58_6_6,axiom,+ ( p(n5,n6,n6)+ => ~ p(n8,n6,n6) )).++fof(axN58_6_7,axiom,+ ( p(n5,n6,n7)+ => ~ p(n8,n6,n7) )).++fof(axN58_6_8,axiom,+ ( p(n5,n6,n8)+ => ~ p(n8,n6,n8) )).++fof(axN58_6_9,axiom,+ ( p(n5,n6,n9)+ => ~ p(n8,n6,n9) )).++fof(axN59_6_1,axiom,+ ( p(n5,n6,n1)+ => ~ p(n9,n6,n1) )).++fof(axN59_6_2,axiom,+ ( p(n5,n6,n2)+ => ~ p(n9,n6,n2) )).++fof(axN59_6_3,axiom,+ ( p(n5,n6,n3)+ => ~ p(n9,n6,n3) )).++fof(axN59_6_4,axiom,+ ( p(n5,n6,n4)+ => ~ p(n9,n6,n4) )).++fof(axN59_6_5,axiom,+ ( p(n5,n6,n5)+ => ~ p(n9,n6,n5) )).++fof(axN59_6_6,axiom,+ ( p(n5,n6,n6)+ => ~ p(n9,n6,n6) )).++fof(axN59_6_7,axiom,+ ( p(n5,n6,n7)+ => ~ p(n9,n6,n7) )).++fof(axN59_6_8,axiom,+ ( p(n5,n6,n8)+ => ~ p(n9,n6,n8) )).++fof(axN59_6_9,axiom,+ ( p(n5,n6,n9)+ => ~ p(n9,n6,n9) )).++fof(axN67_6_1,axiom,+ ( p(n6,n6,n1)+ => ~ p(n7,n6,n1) )).++fof(axN67_6_2,axiom,+ ( p(n6,n6,n2)+ => ~ p(n7,n6,n2) )).++fof(axN67_6_3,axiom,+ ( p(n6,n6,n3)+ => ~ p(n7,n6,n3) )).++fof(axN67_6_4,axiom,+ ( p(n6,n6,n4)+ => ~ p(n7,n6,n4) )).++fof(axN67_6_5,axiom,+ ( p(n6,n6,n5)+ => ~ p(n7,n6,n5) )).++fof(axN67_6_6,axiom,+ ( p(n6,n6,n6)+ => ~ p(n7,n6,n6) )).++fof(axN67_6_7,axiom,+ ( p(n6,n6,n7)+ => ~ p(n7,n6,n7) )).++fof(axN67_6_8,axiom,+ ( p(n6,n6,n8)+ => ~ p(n7,n6,n8) )).++fof(axN67_6_9,axiom,+ ( p(n6,n6,n9)+ => ~ p(n7,n6,n9) )).++fof(axN68_6_1,axiom,+ ( p(n6,n6,n1)+ => ~ p(n8,n6,n1) )).++fof(axN68_6_2,axiom,+ ( p(n6,n6,n2)+ => ~ p(n8,n6,n2) )).++fof(axN68_6_3,axiom,+ ( p(n6,n6,n3)+ => ~ p(n8,n6,n3) )).++fof(axN68_6_4,axiom,+ ( p(n6,n6,n4)+ => ~ p(n8,n6,n4) )).++fof(axN68_6_5,axiom,+ ( p(n6,n6,n5)+ => ~ p(n8,n6,n5) )).++fof(axN68_6_6,axiom,+ ( p(n6,n6,n6)+ => ~ p(n8,n6,n6) )).++fof(axN68_6_7,axiom,+ ( p(n6,n6,n7)+ => ~ p(n8,n6,n7) )).++fof(axN68_6_8,axiom,+ ( p(n6,n6,n8)+ => ~ p(n8,n6,n8) )).++fof(axN68_6_9,axiom,+ ( p(n6,n6,n9)+ => ~ p(n8,n6,n9) )).++fof(axN69_6_1,axiom,+ ( p(n6,n6,n1)+ => ~ p(n9,n6,n1) )).++fof(axN69_6_2,axiom,+ ( p(n6,n6,n2)+ => ~ p(n9,n6,n2) )).++fof(axN69_6_3,axiom,+ ( p(n6,n6,n3)+ => ~ p(n9,n6,n3) )).++fof(axN69_6_4,axiom,+ ( p(n6,n6,n4)+ => ~ p(n9,n6,n4) )).++fof(axN69_6_5,axiom,+ ( p(n6,n6,n5)+ => ~ p(n9,n6,n5) )).++fof(axN69_6_6,axiom,+ ( p(n6,n6,n6)+ => ~ p(n9,n6,n6) )).++fof(axN69_6_7,axiom,+ ( p(n6,n6,n7)+ => ~ p(n9,n6,n7) )).++fof(axN69_6_8,axiom,+ ( p(n6,n6,n8)+ => ~ p(n9,n6,n8) )).++fof(axN69_6_9,axiom,+ ( p(n6,n6,n9)+ => ~ p(n9,n6,n9) )).++fof(axN78_6_1,axiom,+ ( p(n7,n6,n1)+ => ~ p(n8,n6,n1) )).++fof(axN78_6_2,axiom,+ ( p(n7,n6,n2)+ => ~ p(n8,n6,n2) )).++fof(axN78_6_3,axiom,+ ( p(n7,n6,n3)+ => ~ p(n8,n6,n3) )).++fof(axN78_6_4,axiom,+ ( p(n7,n6,n4)+ => ~ p(n8,n6,n4) )).++fof(axN78_6_5,axiom,+ ( p(n7,n6,n5)+ => ~ p(n8,n6,n5) )).++fof(axN78_6_6,axiom,+ ( p(n7,n6,n6)+ => ~ p(n8,n6,n6) )).++fof(axN78_6_7,axiom,+ ( p(n7,n6,n7)+ => ~ p(n8,n6,n7) )).++fof(axN78_6_8,axiom,+ ( p(n7,n6,n8)+ => ~ p(n8,n6,n8) )).++fof(axN78_6_9,axiom,+ ( p(n7,n6,n9)+ => ~ p(n8,n6,n9) )).++fof(axN79_6_1,axiom,+ ( p(n7,n6,n1)+ => ~ p(n9,n6,n1) )).++fof(axN79_6_2,axiom,+ ( p(n7,n6,n2)+ => ~ p(n9,n6,n2) )).++fof(axN79_6_3,axiom,+ ( p(n7,n6,n3)+ => ~ p(n9,n6,n3) )).++fof(axN79_6_4,axiom,+ ( p(n7,n6,n4)+ => ~ p(n9,n6,n4) )).++fof(axN79_6_5,axiom,+ ( p(n7,n6,n5)+ => ~ p(n9,n6,n5) )).++fof(axN79_6_6,axiom,+ ( p(n7,n6,n6)+ => ~ p(n9,n6,n6) )).++fof(axN79_6_7,axiom,+ ( p(n7,n6,n7)+ => ~ p(n9,n6,n7) )).++fof(axN79_6_8,axiom,+ ( p(n7,n6,n8)+ => ~ p(n9,n6,n8) )).++fof(axN79_6_9,axiom,+ ( p(n7,n6,n9)+ => ~ p(n9,n6,n9) )).++fof(axN89_6_1,axiom,+ ( p(n8,n6,n1)+ => ~ p(n9,n6,n1) )).++fof(axN89_6_2,axiom,+ ( p(n8,n6,n2)+ => ~ p(n9,n6,n2) )).++fof(axN89_6_3,axiom,+ ( p(n8,n6,n3)+ => ~ p(n9,n6,n3) )).++fof(axN89_6_4,axiom,+ ( p(n8,n6,n4)+ => ~ p(n9,n6,n4) )).++fof(axN89_6_5,axiom,+ ( p(n8,n6,n5)+ => ~ p(n9,n6,n5) )).++fof(axN89_6_6,axiom,+ ( p(n8,n6,n6)+ => ~ p(n9,n6,n6) )).++fof(axN89_6_7,axiom,+ ( p(n8,n6,n7)+ => ~ p(n9,n6,n7) )).++fof(axN89_6_8,axiom,+ ( p(n8,n6,n8)+ => ~ p(n9,n6,n8) )).++fof(axN89_6_9,axiom,+ ( p(n8,n6,n9)+ => ~ p(n9,n6,n9) )).++fof(axN12_7_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n2,n7,n1) )).++fof(axN12_7_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n2,n7,n2) )).++fof(axN12_7_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n2,n7,n3) )).++fof(axN12_7_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n2,n7,n4) )).++fof(axN12_7_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n2,n7,n5) )).++fof(axN12_7_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n2,n7,n6) )).++fof(axN12_7_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n2,n7,n7) )).++fof(axN12_7_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n2,n7,n8) )).++fof(axN12_7_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n2,n7,n9) )).++fof(axN13_7_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n3,n7,n1) )).++fof(axN13_7_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n3,n7,n2) )).++fof(axN13_7_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n3,n7,n3) )).++fof(axN13_7_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n3,n7,n4) )).++fof(axN13_7_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n3,n7,n5) )).++fof(axN13_7_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n3,n7,n6) )).++fof(axN13_7_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n3,n7,n7) )).++fof(axN13_7_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n3,n7,n8) )).++fof(axN13_7_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n3,n7,n9) )).++fof(axN14_7_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n4,n7,n1) )).++fof(axN14_7_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n4,n7,n2) )).++fof(axN14_7_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n4,n7,n3) )).++fof(axN14_7_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n4,n7,n4) )).++fof(axN14_7_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n4,n7,n5) )).++fof(axN14_7_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n4,n7,n6) )).++fof(axN14_7_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n4,n7,n7) )).++fof(axN14_7_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n4,n7,n8) )).++fof(axN14_7_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n4,n7,n9) )).++fof(axN15_7_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n5,n7,n1) )).++fof(axN15_7_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n5,n7,n2) )).++fof(axN15_7_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n5,n7,n3) )).++fof(axN15_7_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n5,n7,n4) )).++fof(axN15_7_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n5,n7,n5) )).++fof(axN15_7_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n5,n7,n6) )).++fof(axN15_7_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n5,n7,n7) )).++fof(axN15_7_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n5,n7,n8) )).++fof(axN15_7_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n5,n7,n9) )).++fof(axN16_7_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n6,n7,n1) )).++fof(axN16_7_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n6,n7,n2) )).++fof(axN16_7_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n6,n7,n3) )).++fof(axN16_7_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n6,n7,n4) )).++fof(axN16_7_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n6,n7,n5) )).++fof(axN16_7_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n6,n7,n6) )).++fof(axN16_7_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n6,n7,n7) )).++fof(axN16_7_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n6,n7,n8) )).++fof(axN16_7_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n6,n7,n9) )).++fof(axN17_7_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n7,n7,n1) )).++fof(axN17_7_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n7,n7,n2) )).++fof(axN17_7_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n7,n7,n3) )).++fof(axN17_7_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n7,n7,n4) )).++fof(axN17_7_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n7,n7,n5) )).++fof(axN17_7_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n7,n7,n6) )).++fof(axN17_7_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n7,n7,n7) )).++fof(axN17_7_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n7,n7,n8) )).++fof(axN17_7_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n7,n7,n9) )).++fof(axN18_7_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n8,n7,n1) )).++fof(axN18_7_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n8,n7,n2) )).++fof(axN18_7_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n8,n7,n3) )).++fof(axN18_7_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n8,n7,n4) )).++fof(axN18_7_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n8,n7,n5) )).++fof(axN18_7_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n8,n7,n6) )).++fof(axN18_7_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n8,n7,n7) )).++fof(axN18_7_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n8,n7,n8) )).++fof(axN18_7_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n8,n7,n9) )).++fof(axN19_7_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n9,n7,n1) )).++fof(axN19_7_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n9,n7,n2) )).++fof(axN19_7_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n9,n7,n3) )).++fof(axN19_7_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n9,n7,n4) )).++fof(axN19_7_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n9,n7,n5) )).++fof(axN19_7_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n9,n7,n6) )).++fof(axN19_7_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n9,n7,n7) )).++fof(axN19_7_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n9,n7,n8) )).++fof(axN19_7_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n9,n7,n9) )).++fof(axN23_7_1,axiom,+ ( p(n2,n7,n1)+ => ~ p(n3,n7,n1) )).++fof(axN23_7_2,axiom,+ ( p(n2,n7,n2)+ => ~ p(n3,n7,n2) )).++fof(axN23_7_3,axiom,+ ( p(n2,n7,n3)+ => ~ p(n3,n7,n3) )).++fof(axN23_7_4,axiom,+ ( p(n2,n7,n4)+ => ~ p(n3,n7,n4) )).++fof(axN23_7_5,axiom,+ ( p(n2,n7,n5)+ => ~ p(n3,n7,n5) )).++fof(axN23_7_6,axiom,+ ( p(n2,n7,n6)+ => ~ p(n3,n7,n6) )).++fof(axN23_7_7,axiom,+ ( p(n2,n7,n7)+ => ~ p(n3,n7,n7) )).++fof(axN23_7_8,axiom,+ ( p(n2,n7,n8)+ => ~ p(n3,n7,n8) )).++fof(axN23_7_9,axiom,+ ( p(n2,n7,n9)+ => ~ p(n3,n7,n9) )).++fof(axN24_7_1,axiom,+ ( p(n2,n7,n1)+ => ~ p(n4,n7,n1) )).++fof(axN24_7_2,axiom,+ ( p(n2,n7,n2)+ => ~ p(n4,n7,n2) )).++fof(axN24_7_3,axiom,+ ( p(n2,n7,n3)+ => ~ p(n4,n7,n3) )).++fof(axN24_7_4,axiom,+ ( p(n2,n7,n4)+ => ~ p(n4,n7,n4) )).++fof(axN24_7_5,axiom,+ ( p(n2,n7,n5)+ => ~ p(n4,n7,n5) )).++fof(axN24_7_6,axiom,+ ( p(n2,n7,n6)+ => ~ p(n4,n7,n6) )).++fof(axN24_7_7,axiom,+ ( p(n2,n7,n7)+ => ~ p(n4,n7,n7) )).++fof(axN24_7_8,axiom,+ ( p(n2,n7,n8)+ => ~ p(n4,n7,n8) )).++fof(axN24_7_9,axiom,+ ( p(n2,n7,n9)+ => ~ p(n4,n7,n9) )).++fof(axN25_7_1,axiom,+ ( p(n2,n7,n1)+ => ~ p(n5,n7,n1) )).++fof(axN25_7_2,axiom,+ ( p(n2,n7,n2)+ => ~ p(n5,n7,n2) )).++fof(axN25_7_3,axiom,+ ( p(n2,n7,n3)+ => ~ p(n5,n7,n3) )).++fof(axN25_7_4,axiom,+ ( p(n2,n7,n4)+ => ~ p(n5,n7,n4) )).++fof(axN25_7_5,axiom,+ ( p(n2,n7,n5)+ => ~ p(n5,n7,n5) )).++fof(axN25_7_6,axiom,+ ( p(n2,n7,n6)+ => ~ p(n5,n7,n6) )).++fof(axN25_7_7,axiom,+ ( p(n2,n7,n7)+ => ~ p(n5,n7,n7) )).++fof(axN25_7_8,axiom,+ ( p(n2,n7,n8)+ => ~ p(n5,n7,n8) )).++fof(axN25_7_9,axiom,+ ( p(n2,n7,n9)+ => ~ p(n5,n7,n9) )).++fof(axN26_7_1,axiom,+ ( p(n2,n7,n1)+ => ~ p(n6,n7,n1) )).++fof(axN26_7_2,axiom,+ ( p(n2,n7,n2)+ => ~ p(n6,n7,n2) )).++fof(axN26_7_3,axiom,+ ( p(n2,n7,n3)+ => ~ p(n6,n7,n3) )).++fof(axN26_7_4,axiom,+ ( p(n2,n7,n4)+ => ~ p(n6,n7,n4) )).++fof(axN26_7_5,axiom,+ ( p(n2,n7,n5)+ => ~ p(n6,n7,n5) )).++fof(axN26_7_6,axiom,+ ( p(n2,n7,n6)+ => ~ p(n6,n7,n6) )).++fof(axN26_7_7,axiom,+ ( p(n2,n7,n7)+ => ~ p(n6,n7,n7) )).++fof(axN26_7_8,axiom,+ ( p(n2,n7,n8)+ => ~ p(n6,n7,n8) )).++fof(axN26_7_9,axiom,+ ( p(n2,n7,n9)+ => ~ p(n6,n7,n9) )).++fof(axN27_7_1,axiom,+ ( p(n2,n7,n1)+ => ~ p(n7,n7,n1) )).++fof(axN27_7_2,axiom,+ ( p(n2,n7,n2)+ => ~ p(n7,n7,n2) )).++fof(axN27_7_3,axiom,+ ( p(n2,n7,n3)+ => ~ p(n7,n7,n3) )).++fof(axN27_7_4,axiom,+ ( p(n2,n7,n4)+ => ~ p(n7,n7,n4) )).++fof(axN27_7_5,axiom,+ ( p(n2,n7,n5)+ => ~ p(n7,n7,n5) )).++fof(axN27_7_6,axiom,+ ( p(n2,n7,n6)+ => ~ p(n7,n7,n6) )).++fof(axN27_7_7,axiom,+ ( p(n2,n7,n7)+ => ~ p(n7,n7,n7) )).++fof(axN27_7_8,axiom,+ ( p(n2,n7,n8)+ => ~ p(n7,n7,n8) )).++fof(axN27_7_9,axiom,+ ( p(n2,n7,n9)+ => ~ p(n7,n7,n9) )).++fof(axN28_7_1,axiom,+ ( p(n2,n7,n1)+ => ~ p(n8,n7,n1) )).++fof(axN28_7_2,axiom,+ ( p(n2,n7,n2)+ => ~ p(n8,n7,n2) )).++fof(axN28_7_3,axiom,+ ( p(n2,n7,n3)+ => ~ p(n8,n7,n3) )).++fof(axN28_7_4,axiom,+ ( p(n2,n7,n4)+ => ~ p(n8,n7,n4) )).++fof(axN28_7_5,axiom,+ ( p(n2,n7,n5)+ => ~ p(n8,n7,n5) )).++fof(axN28_7_6,axiom,+ ( p(n2,n7,n6)+ => ~ p(n8,n7,n6) )).++fof(axN28_7_7,axiom,+ ( p(n2,n7,n7)+ => ~ p(n8,n7,n7) )).++fof(axN28_7_8,axiom,+ ( p(n2,n7,n8)+ => ~ p(n8,n7,n8) )).++fof(axN28_7_9,axiom,+ ( p(n2,n7,n9)+ => ~ p(n8,n7,n9) )).++fof(axN29_7_1,axiom,+ ( p(n2,n7,n1)+ => ~ p(n9,n7,n1) )).++fof(axN29_7_2,axiom,+ ( p(n2,n7,n2)+ => ~ p(n9,n7,n2) )).++fof(axN29_7_3,axiom,+ ( p(n2,n7,n3)+ => ~ p(n9,n7,n3) )).++fof(axN29_7_4,axiom,+ ( p(n2,n7,n4)+ => ~ p(n9,n7,n4) )).++fof(axN29_7_5,axiom,+ ( p(n2,n7,n5)+ => ~ p(n9,n7,n5) )).++fof(axN29_7_6,axiom,+ ( p(n2,n7,n6)+ => ~ p(n9,n7,n6) )).++fof(axN29_7_7,axiom,+ ( p(n2,n7,n7)+ => ~ p(n9,n7,n7) )).++fof(axN29_7_8,axiom,+ ( p(n2,n7,n8)+ => ~ p(n9,n7,n8) )).++fof(axN29_7_9,axiom,+ ( p(n2,n7,n9)+ => ~ p(n9,n7,n9) )).++fof(axN34_7_1,axiom,+ ( p(n3,n7,n1)+ => ~ p(n4,n7,n1) )).++fof(axN34_7_2,axiom,+ ( p(n3,n7,n2)+ => ~ p(n4,n7,n2) )).++fof(axN34_7_3,axiom,+ ( p(n3,n7,n3)+ => ~ p(n4,n7,n3) )).++fof(axN34_7_4,axiom,+ ( p(n3,n7,n4)+ => ~ p(n4,n7,n4) )).++fof(axN34_7_5,axiom,+ ( p(n3,n7,n5)+ => ~ p(n4,n7,n5) )).++fof(axN34_7_6,axiom,+ ( p(n3,n7,n6)+ => ~ p(n4,n7,n6) )).++fof(axN34_7_7,axiom,+ ( p(n3,n7,n7)+ => ~ p(n4,n7,n7) )).++fof(axN34_7_8,axiom,+ ( p(n3,n7,n8)+ => ~ p(n4,n7,n8) )).++fof(axN34_7_9,axiom,+ ( p(n3,n7,n9)+ => ~ p(n4,n7,n9) )).++fof(axN35_7_1,axiom,+ ( p(n3,n7,n1)+ => ~ p(n5,n7,n1) )).++fof(axN35_7_2,axiom,+ ( p(n3,n7,n2)+ => ~ p(n5,n7,n2) )).++fof(axN35_7_3,axiom,+ ( p(n3,n7,n3)+ => ~ p(n5,n7,n3) )).++fof(axN35_7_4,axiom,+ ( p(n3,n7,n4)+ => ~ p(n5,n7,n4) )).++fof(axN35_7_5,axiom,+ ( p(n3,n7,n5)+ => ~ p(n5,n7,n5) )).++fof(axN35_7_6,axiom,+ ( p(n3,n7,n6)+ => ~ p(n5,n7,n6) )).++fof(axN35_7_7,axiom,+ ( p(n3,n7,n7)+ => ~ p(n5,n7,n7) )).++fof(axN35_7_8,axiom,+ ( p(n3,n7,n8)+ => ~ p(n5,n7,n8) )).++fof(axN35_7_9,axiom,+ ( p(n3,n7,n9)+ => ~ p(n5,n7,n9) )).++fof(axN36_7_1,axiom,+ ( p(n3,n7,n1)+ => ~ p(n6,n7,n1) )).++fof(axN36_7_2,axiom,+ ( p(n3,n7,n2)+ => ~ p(n6,n7,n2) )).++fof(axN36_7_3,axiom,+ ( p(n3,n7,n3)+ => ~ p(n6,n7,n3) )).++fof(axN36_7_4,axiom,+ ( p(n3,n7,n4)+ => ~ p(n6,n7,n4) )).++fof(axN36_7_5,axiom,+ ( p(n3,n7,n5)+ => ~ p(n6,n7,n5) )).++fof(axN36_7_6,axiom,+ ( p(n3,n7,n6)+ => ~ p(n6,n7,n6) )).++fof(axN36_7_7,axiom,+ ( p(n3,n7,n7)+ => ~ p(n6,n7,n7) )).++fof(axN36_7_8,axiom,+ ( p(n3,n7,n8)+ => ~ p(n6,n7,n8) )).++fof(axN36_7_9,axiom,+ ( p(n3,n7,n9)+ => ~ p(n6,n7,n9) )).++fof(axN37_7_1,axiom,+ ( p(n3,n7,n1)+ => ~ p(n7,n7,n1) )).++fof(axN37_7_2,axiom,+ ( p(n3,n7,n2)+ => ~ p(n7,n7,n2) )).++fof(axN37_7_3,axiom,+ ( p(n3,n7,n3)+ => ~ p(n7,n7,n3) )).++fof(axN37_7_4,axiom,+ ( p(n3,n7,n4)+ => ~ p(n7,n7,n4) )).++fof(axN37_7_5,axiom,+ ( p(n3,n7,n5)+ => ~ p(n7,n7,n5) )).++fof(axN37_7_6,axiom,+ ( p(n3,n7,n6)+ => ~ p(n7,n7,n6) )).++fof(axN37_7_7,axiom,+ ( p(n3,n7,n7)+ => ~ p(n7,n7,n7) )).++fof(axN37_7_8,axiom,+ ( p(n3,n7,n8)+ => ~ p(n7,n7,n8) )).++fof(axN37_7_9,axiom,+ ( p(n3,n7,n9)+ => ~ p(n7,n7,n9) )).++fof(axN38_7_1,axiom,+ ( p(n3,n7,n1)+ => ~ p(n8,n7,n1) )).++fof(axN38_7_2,axiom,+ ( p(n3,n7,n2)+ => ~ p(n8,n7,n2) )).++fof(axN38_7_3,axiom,+ ( p(n3,n7,n3)+ => ~ p(n8,n7,n3) )).++fof(axN38_7_4,axiom,+ ( p(n3,n7,n4)+ => ~ p(n8,n7,n4) )).++fof(axN38_7_5,axiom,+ ( p(n3,n7,n5)+ => ~ p(n8,n7,n5) )).++fof(axN38_7_6,axiom,+ ( p(n3,n7,n6)+ => ~ p(n8,n7,n6) )).++fof(axN38_7_7,axiom,+ ( p(n3,n7,n7)+ => ~ p(n8,n7,n7) )).++fof(axN38_7_8,axiom,+ ( p(n3,n7,n8)+ => ~ p(n8,n7,n8) )).++fof(axN38_7_9,axiom,+ ( p(n3,n7,n9)+ => ~ p(n8,n7,n9) )).++fof(axN39_7_1,axiom,+ ( p(n3,n7,n1)+ => ~ p(n9,n7,n1) )).++fof(axN39_7_2,axiom,+ ( p(n3,n7,n2)+ => ~ p(n9,n7,n2) )).++fof(axN39_7_3,axiom,+ ( p(n3,n7,n3)+ => ~ p(n9,n7,n3) )).++fof(axN39_7_4,axiom,+ ( p(n3,n7,n4)+ => ~ p(n9,n7,n4) )).++fof(axN39_7_5,axiom,+ ( p(n3,n7,n5)+ => ~ p(n9,n7,n5) )).++fof(axN39_7_6,axiom,+ ( p(n3,n7,n6)+ => ~ p(n9,n7,n6) )).++fof(axN39_7_7,axiom,+ ( p(n3,n7,n7)+ => ~ p(n9,n7,n7) )).++fof(axN39_7_8,axiom,+ ( p(n3,n7,n8)+ => ~ p(n9,n7,n8) )).++fof(axN39_7_9,axiom,+ ( p(n3,n7,n9)+ => ~ p(n9,n7,n9) )).++fof(axN45_7_1,axiom,+ ( p(n4,n7,n1)+ => ~ p(n5,n7,n1) )).++fof(axN45_7_2,axiom,+ ( p(n4,n7,n2)+ => ~ p(n5,n7,n2) )).++fof(axN45_7_3,axiom,+ ( p(n4,n7,n3)+ => ~ p(n5,n7,n3) )).++fof(axN45_7_4,axiom,+ ( p(n4,n7,n4)+ => ~ p(n5,n7,n4) )).++fof(axN45_7_5,axiom,+ ( p(n4,n7,n5)+ => ~ p(n5,n7,n5) )).++fof(axN45_7_6,axiom,+ ( p(n4,n7,n6)+ => ~ p(n5,n7,n6) )).++fof(axN45_7_7,axiom,+ ( p(n4,n7,n7)+ => ~ p(n5,n7,n7) )).++fof(axN45_7_8,axiom,+ ( p(n4,n7,n8)+ => ~ p(n5,n7,n8) )).++fof(axN45_7_9,axiom,+ ( p(n4,n7,n9)+ => ~ p(n5,n7,n9) )).++fof(axN46_7_1,axiom,+ ( p(n4,n7,n1)+ => ~ p(n6,n7,n1) )).++fof(axN46_7_2,axiom,+ ( p(n4,n7,n2)+ => ~ p(n6,n7,n2) )).++fof(axN46_7_3,axiom,+ ( p(n4,n7,n3)+ => ~ p(n6,n7,n3) )).++fof(axN46_7_4,axiom,+ ( p(n4,n7,n4)+ => ~ p(n6,n7,n4) )).++fof(axN46_7_5,axiom,+ ( p(n4,n7,n5)+ => ~ p(n6,n7,n5) )).++fof(axN46_7_6,axiom,+ ( p(n4,n7,n6)+ => ~ p(n6,n7,n6) )).++fof(axN46_7_7,axiom,+ ( p(n4,n7,n7)+ => ~ p(n6,n7,n7) )).++fof(axN46_7_8,axiom,+ ( p(n4,n7,n8)+ => ~ p(n6,n7,n8) )).++fof(axN46_7_9,axiom,+ ( p(n4,n7,n9)+ => ~ p(n6,n7,n9) )).++fof(axN47_7_1,axiom,+ ( p(n4,n7,n1)+ => ~ p(n7,n7,n1) )).++fof(axN47_7_2,axiom,+ ( p(n4,n7,n2)+ => ~ p(n7,n7,n2) )).++fof(axN47_7_3,axiom,+ ( p(n4,n7,n3)+ => ~ p(n7,n7,n3) )).++fof(axN47_7_4,axiom,+ ( p(n4,n7,n4)+ => ~ p(n7,n7,n4) )).++fof(axN47_7_5,axiom,+ ( p(n4,n7,n5)+ => ~ p(n7,n7,n5) )).++fof(axN47_7_6,axiom,+ ( p(n4,n7,n6)+ => ~ p(n7,n7,n6) )).++fof(axN47_7_7,axiom,+ ( p(n4,n7,n7)+ => ~ p(n7,n7,n7) )).++fof(axN47_7_8,axiom,+ ( p(n4,n7,n8)+ => ~ p(n7,n7,n8) )).++fof(axN47_7_9,axiom,+ ( p(n4,n7,n9)+ => ~ p(n7,n7,n9) )).++fof(axN48_7_1,axiom,+ ( p(n4,n7,n1)+ => ~ p(n8,n7,n1) )).++fof(axN48_7_2,axiom,+ ( p(n4,n7,n2)+ => ~ p(n8,n7,n2) )).++fof(axN48_7_3,axiom,+ ( p(n4,n7,n3)+ => ~ p(n8,n7,n3) )).++fof(axN48_7_4,axiom,+ ( p(n4,n7,n4)+ => ~ p(n8,n7,n4) )).++fof(axN48_7_5,axiom,+ ( p(n4,n7,n5)+ => ~ p(n8,n7,n5) )).++fof(axN48_7_6,axiom,+ ( p(n4,n7,n6)+ => ~ p(n8,n7,n6) )).++fof(axN48_7_7,axiom,+ ( p(n4,n7,n7)+ => ~ p(n8,n7,n7) )).++fof(axN48_7_8,axiom,+ ( p(n4,n7,n8)+ => ~ p(n8,n7,n8) )).++fof(axN48_7_9,axiom,+ ( p(n4,n7,n9)+ => ~ p(n8,n7,n9) )).++fof(axN49_7_1,axiom,+ ( p(n4,n7,n1)+ => ~ p(n9,n7,n1) )).++fof(axN49_7_2,axiom,+ ( p(n4,n7,n2)+ => ~ p(n9,n7,n2) )).++fof(axN49_7_3,axiom,+ ( p(n4,n7,n3)+ => ~ p(n9,n7,n3) )).++fof(axN49_7_4,axiom,+ ( p(n4,n7,n4)+ => ~ p(n9,n7,n4) )).++fof(axN49_7_5,axiom,+ ( p(n4,n7,n5)+ => ~ p(n9,n7,n5) )).++fof(axN49_7_6,axiom,+ ( p(n4,n7,n6)+ => ~ p(n9,n7,n6) )).++fof(axN49_7_7,axiom,+ ( p(n4,n7,n7)+ => ~ p(n9,n7,n7) )).++fof(axN49_7_8,axiom,+ ( p(n4,n7,n8)+ => ~ p(n9,n7,n8) )).++fof(axN49_7_9,axiom,+ ( p(n4,n7,n9)+ => ~ p(n9,n7,n9) )).++fof(axN56_7_1,axiom,+ ( p(n5,n7,n1)+ => ~ p(n6,n7,n1) )).++fof(axN56_7_2,axiom,+ ( p(n5,n7,n2)+ => ~ p(n6,n7,n2) )).++fof(axN56_7_3,axiom,+ ( p(n5,n7,n3)+ => ~ p(n6,n7,n3) )).++fof(axN56_7_4,axiom,+ ( p(n5,n7,n4)+ => ~ p(n6,n7,n4) )).++fof(axN56_7_5,axiom,+ ( p(n5,n7,n5)+ => ~ p(n6,n7,n5) )).++fof(axN56_7_6,axiom,+ ( p(n5,n7,n6)+ => ~ p(n6,n7,n6) )).++fof(axN56_7_7,axiom,+ ( p(n5,n7,n7)+ => ~ p(n6,n7,n7) )).++fof(axN56_7_8,axiom,+ ( p(n5,n7,n8)+ => ~ p(n6,n7,n8) )).++fof(axN56_7_9,axiom,+ ( p(n5,n7,n9)+ => ~ p(n6,n7,n9) )).++fof(axN57_7_1,axiom,+ ( p(n5,n7,n1)+ => ~ p(n7,n7,n1) )).++fof(axN57_7_2,axiom,+ ( p(n5,n7,n2)+ => ~ p(n7,n7,n2) )).++fof(axN57_7_3,axiom,+ ( p(n5,n7,n3)+ => ~ p(n7,n7,n3) )).++fof(axN57_7_4,axiom,+ ( p(n5,n7,n4)+ => ~ p(n7,n7,n4) )).++fof(axN57_7_5,axiom,+ ( p(n5,n7,n5)+ => ~ p(n7,n7,n5) )).++fof(axN57_7_6,axiom,+ ( p(n5,n7,n6)+ => ~ p(n7,n7,n6) )).++fof(axN57_7_7,axiom,+ ( p(n5,n7,n7)+ => ~ p(n7,n7,n7) )).++fof(axN57_7_8,axiom,+ ( p(n5,n7,n8)+ => ~ p(n7,n7,n8) )).++fof(axN57_7_9,axiom,+ ( p(n5,n7,n9)+ => ~ p(n7,n7,n9) )).++fof(axN58_7_1,axiom,+ ( p(n5,n7,n1)+ => ~ p(n8,n7,n1) )).++fof(axN58_7_2,axiom,+ ( p(n5,n7,n2)+ => ~ p(n8,n7,n2) )).++fof(axN58_7_3,axiom,+ ( p(n5,n7,n3)+ => ~ p(n8,n7,n3) )).++fof(axN58_7_4,axiom,+ ( p(n5,n7,n4)+ => ~ p(n8,n7,n4) )).++fof(axN58_7_5,axiom,+ ( p(n5,n7,n5)+ => ~ p(n8,n7,n5) )).++fof(axN58_7_6,axiom,+ ( p(n5,n7,n6)+ => ~ p(n8,n7,n6) )).++fof(axN58_7_7,axiom,+ ( p(n5,n7,n7)+ => ~ p(n8,n7,n7) )).++fof(axN58_7_8,axiom,+ ( p(n5,n7,n8)+ => ~ p(n8,n7,n8) )).++fof(axN58_7_9,axiom,+ ( p(n5,n7,n9)+ => ~ p(n8,n7,n9) )).++fof(axN59_7_1,axiom,+ ( p(n5,n7,n1)+ => ~ p(n9,n7,n1) )).++fof(axN59_7_2,axiom,+ ( p(n5,n7,n2)+ => ~ p(n9,n7,n2) )).++fof(axN59_7_3,axiom,+ ( p(n5,n7,n3)+ => ~ p(n9,n7,n3) )).++fof(axN59_7_4,axiom,+ ( p(n5,n7,n4)+ => ~ p(n9,n7,n4) )).++fof(axN59_7_5,axiom,+ ( p(n5,n7,n5)+ => ~ p(n9,n7,n5) )).++fof(axN59_7_6,axiom,+ ( p(n5,n7,n6)+ => ~ p(n9,n7,n6) )).++fof(axN59_7_7,axiom,+ ( p(n5,n7,n7)+ => ~ p(n9,n7,n7) )).++fof(axN59_7_8,axiom,+ ( p(n5,n7,n8)+ => ~ p(n9,n7,n8) )).++fof(axN59_7_9,axiom,+ ( p(n5,n7,n9)+ => ~ p(n9,n7,n9) )).++fof(axN67_7_1,axiom,+ ( p(n6,n7,n1)+ => ~ p(n7,n7,n1) )).++fof(axN67_7_2,axiom,+ ( p(n6,n7,n2)+ => ~ p(n7,n7,n2) )).++fof(axN67_7_3,axiom,+ ( p(n6,n7,n3)+ => ~ p(n7,n7,n3) )).++fof(axN67_7_4,axiom,+ ( p(n6,n7,n4)+ => ~ p(n7,n7,n4) )).++fof(axN67_7_5,axiom,+ ( p(n6,n7,n5)+ => ~ p(n7,n7,n5) )).++fof(axN67_7_6,axiom,+ ( p(n6,n7,n6)+ => ~ p(n7,n7,n6) )).++fof(axN67_7_7,axiom,+ ( p(n6,n7,n7)+ => ~ p(n7,n7,n7) )).++fof(axN67_7_8,axiom,+ ( p(n6,n7,n8)+ => ~ p(n7,n7,n8) )).++fof(axN67_7_9,axiom,+ ( p(n6,n7,n9)+ => ~ p(n7,n7,n9) )).++fof(axN68_7_1,axiom,+ ( p(n6,n7,n1)+ => ~ p(n8,n7,n1) )).++fof(axN68_7_2,axiom,+ ( p(n6,n7,n2)+ => ~ p(n8,n7,n2) )).++fof(axN68_7_3,axiom,+ ( p(n6,n7,n3)+ => ~ p(n8,n7,n3) )).++fof(axN68_7_4,axiom,+ ( p(n6,n7,n4)+ => ~ p(n8,n7,n4) )).++fof(axN68_7_5,axiom,+ ( p(n6,n7,n5)+ => ~ p(n8,n7,n5) )).++fof(axN68_7_6,axiom,+ ( p(n6,n7,n6)+ => ~ p(n8,n7,n6) )).++fof(axN68_7_7,axiom,+ ( p(n6,n7,n7)+ => ~ p(n8,n7,n7) )).++fof(axN68_7_8,axiom,+ ( p(n6,n7,n8)+ => ~ p(n8,n7,n8) )).++fof(axN68_7_9,axiom,+ ( p(n6,n7,n9)+ => ~ p(n8,n7,n9) )).++fof(axN69_7_1,axiom,+ ( p(n6,n7,n1)+ => ~ p(n9,n7,n1) )).++fof(axN69_7_2,axiom,+ ( p(n6,n7,n2)+ => ~ p(n9,n7,n2) )).++fof(axN69_7_3,axiom,+ ( p(n6,n7,n3)+ => ~ p(n9,n7,n3) )).++fof(axN69_7_4,axiom,+ ( p(n6,n7,n4)+ => ~ p(n9,n7,n4) )).++fof(axN69_7_5,axiom,+ ( p(n6,n7,n5)+ => ~ p(n9,n7,n5) )).++fof(axN69_7_6,axiom,+ ( p(n6,n7,n6)+ => ~ p(n9,n7,n6) )).++fof(axN69_7_7,axiom,+ ( p(n6,n7,n7)+ => ~ p(n9,n7,n7) )).++fof(axN69_7_8,axiom,+ ( p(n6,n7,n8)+ => ~ p(n9,n7,n8) )).++fof(axN69_7_9,axiom,+ ( p(n6,n7,n9)+ => ~ p(n9,n7,n9) )).++fof(axN78_7_1,axiom,+ ( p(n7,n7,n1)+ => ~ p(n8,n7,n1) )).++fof(axN78_7_2,axiom,+ ( p(n7,n7,n2)+ => ~ p(n8,n7,n2) )).++fof(axN78_7_3,axiom,+ ( p(n7,n7,n3)+ => ~ p(n8,n7,n3) )).++fof(axN78_7_4,axiom,+ ( p(n7,n7,n4)+ => ~ p(n8,n7,n4) )).++fof(axN78_7_5,axiom,+ ( p(n7,n7,n5)+ => ~ p(n8,n7,n5) )).++fof(axN78_7_6,axiom,+ ( p(n7,n7,n6)+ => ~ p(n8,n7,n6) )).++fof(axN78_7_7,axiom,+ ( p(n7,n7,n7)+ => ~ p(n8,n7,n7) )).++fof(axN78_7_8,axiom,+ ( p(n7,n7,n8)+ => ~ p(n8,n7,n8) )).++fof(axN78_7_9,axiom,+ ( p(n7,n7,n9)+ => ~ p(n8,n7,n9) )).++fof(axN79_7_1,axiom,+ ( p(n7,n7,n1)+ => ~ p(n9,n7,n1) )).++fof(axN79_7_2,axiom,+ ( p(n7,n7,n2)+ => ~ p(n9,n7,n2) )).++fof(axN79_7_3,axiom,+ ( p(n7,n7,n3)+ => ~ p(n9,n7,n3) )).++fof(axN79_7_4,axiom,+ ( p(n7,n7,n4)+ => ~ p(n9,n7,n4) )).++fof(axN79_7_5,axiom,+ ( p(n7,n7,n5)+ => ~ p(n9,n7,n5) )).++fof(axN79_7_6,axiom,+ ( p(n7,n7,n6)+ => ~ p(n9,n7,n6) )).++fof(axN79_7_7,axiom,+ ( p(n7,n7,n7)+ => ~ p(n9,n7,n7) )).++fof(axN79_7_8,axiom,+ ( p(n7,n7,n8)+ => ~ p(n9,n7,n8) )).++fof(axN79_7_9,axiom,+ ( p(n7,n7,n9)+ => ~ p(n9,n7,n9) )).++fof(axN89_7_1,axiom,+ ( p(n8,n7,n1)+ => ~ p(n9,n7,n1) )).++fof(axN89_7_2,axiom,+ ( p(n8,n7,n2)+ => ~ p(n9,n7,n2) )).++fof(axN89_7_3,axiom,+ ( p(n8,n7,n3)+ => ~ p(n9,n7,n3) )).++fof(axN89_7_4,axiom,+ ( p(n8,n7,n4)+ => ~ p(n9,n7,n4) )).++fof(axN89_7_5,axiom,+ ( p(n8,n7,n5)+ => ~ p(n9,n7,n5) )).++fof(axN89_7_6,axiom,+ ( p(n8,n7,n6)+ => ~ p(n9,n7,n6) )).++fof(axN89_7_7,axiom,+ ( p(n8,n7,n7)+ => ~ p(n9,n7,n7) )).++fof(axN89_7_8,axiom,+ ( p(n8,n7,n8)+ => ~ p(n9,n7,n8) )).++fof(axN89_7_9,axiom,+ ( p(n8,n7,n9)+ => ~ p(n9,n7,n9) )).++fof(axN12_8_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n2,n8,n1) )).++fof(axN12_8_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n2,n8,n2) )).++fof(axN12_8_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n2,n8,n3) )).++fof(axN12_8_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n2,n8,n4) )).++fof(axN12_8_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n2,n8,n5) )).++fof(axN12_8_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n2,n8,n6) )).++fof(axN12_8_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n2,n8,n7) )).++fof(axN12_8_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n2,n8,n8) )).++fof(axN12_8_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n2,n8,n9) )).++fof(axN13_8_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n3,n8,n1) )).++fof(axN13_8_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n3,n8,n2) )).++fof(axN13_8_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n3,n8,n3) )).++fof(axN13_8_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n3,n8,n4) )).++fof(axN13_8_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n3,n8,n5) )).++fof(axN13_8_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n3,n8,n6) )).++fof(axN13_8_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n3,n8,n7) )).++fof(axN13_8_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n3,n8,n8) )).++fof(axN13_8_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n3,n8,n9) )).++fof(axN14_8_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n4,n8,n1) )).++fof(axN14_8_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n4,n8,n2) )).++fof(axN14_8_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n4,n8,n3) )).++fof(axN14_8_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n4,n8,n4) )).++fof(axN14_8_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n4,n8,n5) )).++fof(axN14_8_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n4,n8,n6) )).++fof(axN14_8_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n4,n8,n7) )).++fof(axN14_8_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n4,n8,n8) )).++fof(axN14_8_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n4,n8,n9) )).++fof(axN15_8_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n5,n8,n1) )).++fof(axN15_8_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n5,n8,n2) )).++fof(axN15_8_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n5,n8,n3) )).++fof(axN15_8_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n5,n8,n4) )).++fof(axN15_8_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n5,n8,n5) )).++fof(axN15_8_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n5,n8,n6) )).++fof(axN15_8_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n5,n8,n7) )).++fof(axN15_8_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n5,n8,n8) )).++fof(axN15_8_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n5,n8,n9) )).++fof(axN16_8_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n6,n8,n1) )).++fof(axN16_8_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n6,n8,n2) )).++fof(axN16_8_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n6,n8,n3) )).++fof(axN16_8_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n6,n8,n4) )).++fof(axN16_8_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n6,n8,n5) )).++fof(axN16_8_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n6,n8,n6) )).++fof(axN16_8_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n6,n8,n7) )).++fof(axN16_8_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n6,n8,n8) )).++fof(axN16_8_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n6,n8,n9) )).++fof(axN17_8_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n7,n8,n1) )).++fof(axN17_8_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n7,n8,n2) )).++fof(axN17_8_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n7,n8,n3) )).++fof(axN17_8_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n7,n8,n4) )).++fof(axN17_8_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n7,n8,n5) )).++fof(axN17_8_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n7,n8,n6) )).++fof(axN17_8_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n7,n8,n7) )).++fof(axN17_8_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n7,n8,n8) )).++fof(axN17_8_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n7,n8,n9) )).++fof(axN18_8_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n8,n8,n1) )).++fof(axN18_8_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n8,n8,n2) )).++fof(axN18_8_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n8,n8,n3) )).++fof(axN18_8_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n8,n8,n4) )).++fof(axN18_8_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n8,n8,n5) )).++fof(axN18_8_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n8,n8,n6) )).++fof(axN18_8_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n8,n8,n7) )).++fof(axN18_8_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n8,n8,n8) )).++fof(axN18_8_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n8,n8,n9) )).++fof(axN19_8_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n9,n8,n1) )).++fof(axN19_8_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n9,n8,n2) )).++fof(axN19_8_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n9,n8,n3) )).++fof(axN19_8_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n9,n8,n4) )).++fof(axN19_8_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n9,n8,n5) )).++fof(axN19_8_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n9,n8,n6) )).++fof(axN19_8_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n9,n8,n7) )).++fof(axN19_8_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n9,n8,n8) )).++fof(axN19_8_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n9,n8,n9) )).++fof(axN23_8_1,axiom,+ ( p(n2,n8,n1)+ => ~ p(n3,n8,n1) )).++fof(axN23_8_2,axiom,+ ( p(n2,n8,n2)+ => ~ p(n3,n8,n2) )).++fof(axN23_8_3,axiom,+ ( p(n2,n8,n3)+ => ~ p(n3,n8,n3) )).++fof(axN23_8_4,axiom,+ ( p(n2,n8,n4)+ => ~ p(n3,n8,n4) )).++fof(axN23_8_5,axiom,+ ( p(n2,n8,n5)+ => ~ p(n3,n8,n5) )).++fof(axN23_8_6,axiom,+ ( p(n2,n8,n6)+ => ~ p(n3,n8,n6) )).++fof(axN23_8_7,axiom,+ ( p(n2,n8,n7)+ => ~ p(n3,n8,n7) )).++fof(axN23_8_8,axiom,+ ( p(n2,n8,n8)+ => ~ p(n3,n8,n8) )).++fof(axN23_8_9,axiom,+ ( p(n2,n8,n9)+ => ~ p(n3,n8,n9) )).++fof(axN24_8_1,axiom,+ ( p(n2,n8,n1)+ => ~ p(n4,n8,n1) )).++fof(axN24_8_2,axiom,+ ( p(n2,n8,n2)+ => ~ p(n4,n8,n2) )).++fof(axN24_8_3,axiom,+ ( p(n2,n8,n3)+ => ~ p(n4,n8,n3) )).++fof(axN24_8_4,axiom,+ ( p(n2,n8,n4)+ => ~ p(n4,n8,n4) )).++fof(axN24_8_5,axiom,+ ( p(n2,n8,n5)+ => ~ p(n4,n8,n5) )).++fof(axN24_8_6,axiom,+ ( p(n2,n8,n6)+ => ~ p(n4,n8,n6) )).++fof(axN24_8_7,axiom,+ ( p(n2,n8,n7)+ => ~ p(n4,n8,n7) )).++fof(axN24_8_8,axiom,+ ( p(n2,n8,n8)+ => ~ p(n4,n8,n8) )).++fof(axN24_8_9,axiom,+ ( p(n2,n8,n9)+ => ~ p(n4,n8,n9) )).++fof(axN25_8_1,axiom,+ ( p(n2,n8,n1)+ => ~ p(n5,n8,n1) )).++fof(axN25_8_2,axiom,+ ( p(n2,n8,n2)+ => ~ p(n5,n8,n2) )).++fof(axN25_8_3,axiom,+ ( p(n2,n8,n3)+ => ~ p(n5,n8,n3) )).++fof(axN25_8_4,axiom,+ ( p(n2,n8,n4)+ => ~ p(n5,n8,n4) )).++fof(axN25_8_5,axiom,+ ( p(n2,n8,n5)+ => ~ p(n5,n8,n5) )).++fof(axN25_8_6,axiom,+ ( p(n2,n8,n6)+ => ~ p(n5,n8,n6) )).++fof(axN25_8_7,axiom,+ ( p(n2,n8,n7)+ => ~ p(n5,n8,n7) )).++fof(axN25_8_8,axiom,+ ( p(n2,n8,n8)+ => ~ p(n5,n8,n8) )).++fof(axN25_8_9,axiom,+ ( p(n2,n8,n9)+ => ~ p(n5,n8,n9) )).++fof(axN26_8_1,axiom,+ ( p(n2,n8,n1)+ => ~ p(n6,n8,n1) )).++fof(axN26_8_2,axiom,+ ( p(n2,n8,n2)+ => ~ p(n6,n8,n2) )).++fof(axN26_8_3,axiom,+ ( p(n2,n8,n3)+ => ~ p(n6,n8,n3) )).++fof(axN26_8_4,axiom,+ ( p(n2,n8,n4)+ => ~ p(n6,n8,n4) )).++fof(axN26_8_5,axiom,+ ( p(n2,n8,n5)+ => ~ p(n6,n8,n5) )).++fof(axN26_8_6,axiom,+ ( p(n2,n8,n6)+ => ~ p(n6,n8,n6) )).++fof(axN26_8_7,axiom,+ ( p(n2,n8,n7)+ => ~ p(n6,n8,n7) )).++fof(axN26_8_8,axiom,+ ( p(n2,n8,n8)+ => ~ p(n6,n8,n8) )).++fof(axN26_8_9,axiom,+ ( p(n2,n8,n9)+ => ~ p(n6,n8,n9) )).++fof(axN27_8_1,axiom,+ ( p(n2,n8,n1)+ => ~ p(n7,n8,n1) )).++fof(axN27_8_2,axiom,+ ( p(n2,n8,n2)+ => ~ p(n7,n8,n2) )).++fof(axN27_8_3,axiom,+ ( p(n2,n8,n3)+ => ~ p(n7,n8,n3) )).++fof(axN27_8_4,axiom,+ ( p(n2,n8,n4)+ => ~ p(n7,n8,n4) )).++fof(axN27_8_5,axiom,+ ( p(n2,n8,n5)+ => ~ p(n7,n8,n5) )).++fof(axN27_8_6,axiom,+ ( p(n2,n8,n6)+ => ~ p(n7,n8,n6) )).++fof(axN27_8_7,axiom,+ ( p(n2,n8,n7)+ => ~ p(n7,n8,n7) )).++fof(axN27_8_8,axiom,+ ( p(n2,n8,n8)+ => ~ p(n7,n8,n8) )).++fof(axN27_8_9,axiom,+ ( p(n2,n8,n9)+ => ~ p(n7,n8,n9) )).++fof(axN28_8_1,axiom,+ ( p(n2,n8,n1)+ => ~ p(n8,n8,n1) )).++fof(axN28_8_2,axiom,+ ( p(n2,n8,n2)+ => ~ p(n8,n8,n2) )).++fof(axN28_8_3,axiom,+ ( p(n2,n8,n3)+ => ~ p(n8,n8,n3) )).++fof(axN28_8_4,axiom,+ ( p(n2,n8,n4)+ => ~ p(n8,n8,n4) )).++fof(axN28_8_5,axiom,+ ( p(n2,n8,n5)+ => ~ p(n8,n8,n5) )).++fof(axN28_8_6,axiom,+ ( p(n2,n8,n6)+ => ~ p(n8,n8,n6) )).++fof(axN28_8_7,axiom,+ ( p(n2,n8,n7)+ => ~ p(n8,n8,n7) )).++fof(axN28_8_8,axiom,+ ( p(n2,n8,n8)+ => ~ p(n8,n8,n8) )).++fof(axN28_8_9,axiom,+ ( p(n2,n8,n9)+ => ~ p(n8,n8,n9) )).++fof(axN29_8_1,axiom,+ ( p(n2,n8,n1)+ => ~ p(n9,n8,n1) )).++fof(axN29_8_2,axiom,+ ( p(n2,n8,n2)+ => ~ p(n9,n8,n2) )).++fof(axN29_8_3,axiom,+ ( p(n2,n8,n3)+ => ~ p(n9,n8,n3) )).++fof(axN29_8_4,axiom,+ ( p(n2,n8,n4)+ => ~ p(n9,n8,n4) )).++fof(axN29_8_5,axiom,+ ( p(n2,n8,n5)+ => ~ p(n9,n8,n5) )).++fof(axN29_8_6,axiom,+ ( p(n2,n8,n6)+ => ~ p(n9,n8,n6) )).++fof(axN29_8_7,axiom,+ ( p(n2,n8,n7)+ => ~ p(n9,n8,n7) )).++fof(axN29_8_8,axiom,+ ( p(n2,n8,n8)+ => ~ p(n9,n8,n8) )).++fof(axN29_8_9,axiom,+ ( p(n2,n8,n9)+ => ~ p(n9,n8,n9) )).++fof(axN34_8_1,axiom,+ ( p(n3,n8,n1)+ => ~ p(n4,n8,n1) )).++fof(axN34_8_2,axiom,+ ( p(n3,n8,n2)+ => ~ p(n4,n8,n2) )).++fof(axN34_8_3,axiom,+ ( p(n3,n8,n3)+ => ~ p(n4,n8,n3) )).++fof(axN34_8_4,axiom,+ ( p(n3,n8,n4)+ => ~ p(n4,n8,n4) )).++fof(axN34_8_5,axiom,+ ( p(n3,n8,n5)+ => ~ p(n4,n8,n5) )).++fof(axN34_8_6,axiom,+ ( p(n3,n8,n6)+ => ~ p(n4,n8,n6) )).++fof(axN34_8_7,axiom,+ ( p(n3,n8,n7)+ => ~ p(n4,n8,n7) )).++fof(axN34_8_8,axiom,+ ( p(n3,n8,n8)+ => ~ p(n4,n8,n8) )).++fof(axN34_8_9,axiom,+ ( p(n3,n8,n9)+ => ~ p(n4,n8,n9) )).++fof(axN35_8_1,axiom,+ ( p(n3,n8,n1)+ => ~ p(n5,n8,n1) )).++fof(axN35_8_2,axiom,+ ( p(n3,n8,n2)+ => ~ p(n5,n8,n2) )).++fof(axN35_8_3,axiom,+ ( p(n3,n8,n3)+ => ~ p(n5,n8,n3) )).++fof(axN35_8_4,axiom,+ ( p(n3,n8,n4)+ => ~ p(n5,n8,n4) )).++fof(axN35_8_5,axiom,+ ( p(n3,n8,n5)+ => ~ p(n5,n8,n5) )).++fof(axN35_8_6,axiom,+ ( p(n3,n8,n6)+ => ~ p(n5,n8,n6) )).++fof(axN35_8_7,axiom,+ ( p(n3,n8,n7)+ => ~ p(n5,n8,n7) )).++fof(axN35_8_8,axiom,+ ( p(n3,n8,n8)+ => ~ p(n5,n8,n8) )).++fof(axN35_8_9,axiom,+ ( p(n3,n8,n9)+ => ~ p(n5,n8,n9) )).++fof(axN36_8_1,axiom,+ ( p(n3,n8,n1)+ => ~ p(n6,n8,n1) )).++fof(axN36_8_2,axiom,+ ( p(n3,n8,n2)+ => ~ p(n6,n8,n2) )).++fof(axN36_8_3,axiom,+ ( p(n3,n8,n3)+ => ~ p(n6,n8,n3) )).++fof(axN36_8_4,axiom,+ ( p(n3,n8,n4)+ => ~ p(n6,n8,n4) )).++fof(axN36_8_5,axiom,+ ( p(n3,n8,n5)+ => ~ p(n6,n8,n5) )).++fof(axN36_8_6,axiom,+ ( p(n3,n8,n6)+ => ~ p(n6,n8,n6) )).++fof(axN36_8_7,axiom,+ ( p(n3,n8,n7)+ => ~ p(n6,n8,n7) )).++fof(axN36_8_8,axiom,+ ( p(n3,n8,n8)+ => ~ p(n6,n8,n8) )).++fof(axN36_8_9,axiom,+ ( p(n3,n8,n9)+ => ~ p(n6,n8,n9) )).++fof(axN37_8_1,axiom,+ ( p(n3,n8,n1)+ => ~ p(n7,n8,n1) )).++fof(axN37_8_2,axiom,+ ( p(n3,n8,n2)+ => ~ p(n7,n8,n2) )).++fof(axN37_8_3,axiom,+ ( p(n3,n8,n3)+ => ~ p(n7,n8,n3) )).++fof(axN37_8_4,axiom,+ ( p(n3,n8,n4)+ => ~ p(n7,n8,n4) )).++fof(axN37_8_5,axiom,+ ( p(n3,n8,n5)+ => ~ p(n7,n8,n5) )).++fof(axN37_8_6,axiom,+ ( p(n3,n8,n6)+ => ~ p(n7,n8,n6) )).++fof(axN37_8_7,axiom,+ ( p(n3,n8,n7)+ => ~ p(n7,n8,n7) )).++fof(axN37_8_8,axiom,+ ( p(n3,n8,n8)+ => ~ p(n7,n8,n8) )).++fof(axN37_8_9,axiom,+ ( p(n3,n8,n9)+ => ~ p(n7,n8,n9) )).++fof(axN38_8_1,axiom,+ ( p(n3,n8,n1)+ => ~ p(n8,n8,n1) )).++fof(axN38_8_2,axiom,+ ( p(n3,n8,n2)+ => ~ p(n8,n8,n2) )).++fof(axN38_8_3,axiom,+ ( p(n3,n8,n3)+ => ~ p(n8,n8,n3) )).++fof(axN38_8_4,axiom,+ ( p(n3,n8,n4)+ => ~ p(n8,n8,n4) )).++fof(axN38_8_5,axiom,+ ( p(n3,n8,n5)+ => ~ p(n8,n8,n5) )).++fof(axN38_8_6,axiom,+ ( p(n3,n8,n6)+ => ~ p(n8,n8,n6) )).++fof(axN38_8_7,axiom,+ ( p(n3,n8,n7)+ => ~ p(n8,n8,n7) )).++fof(axN38_8_8,axiom,+ ( p(n3,n8,n8)+ => ~ p(n8,n8,n8) )).++fof(axN38_8_9,axiom,+ ( p(n3,n8,n9)+ => ~ p(n8,n8,n9) )).++fof(axN39_8_1,axiom,+ ( p(n3,n8,n1)+ => ~ p(n9,n8,n1) )).++fof(axN39_8_2,axiom,+ ( p(n3,n8,n2)+ => ~ p(n9,n8,n2) )).++fof(axN39_8_3,axiom,+ ( p(n3,n8,n3)+ => ~ p(n9,n8,n3) )).++fof(axN39_8_4,axiom,+ ( p(n3,n8,n4)+ => ~ p(n9,n8,n4) )).++fof(axN39_8_5,axiom,+ ( p(n3,n8,n5)+ => ~ p(n9,n8,n5) )).++fof(axN39_8_6,axiom,+ ( p(n3,n8,n6)+ => ~ p(n9,n8,n6) )).++fof(axN39_8_7,axiom,+ ( p(n3,n8,n7)+ => ~ p(n9,n8,n7) )).++fof(axN39_8_8,axiom,+ ( p(n3,n8,n8)+ => ~ p(n9,n8,n8) )).++fof(axN39_8_9,axiom,+ ( p(n3,n8,n9)+ => ~ p(n9,n8,n9) )).++fof(axN45_8_1,axiom,+ ( p(n4,n8,n1)+ => ~ p(n5,n8,n1) )).++fof(axN45_8_2,axiom,+ ( p(n4,n8,n2)+ => ~ p(n5,n8,n2) )).++fof(axN45_8_3,axiom,+ ( p(n4,n8,n3)+ => ~ p(n5,n8,n3) )).++fof(axN45_8_4,axiom,+ ( p(n4,n8,n4)+ => ~ p(n5,n8,n4) )).++fof(axN45_8_5,axiom,+ ( p(n4,n8,n5)+ => ~ p(n5,n8,n5) )).++fof(axN45_8_6,axiom,+ ( p(n4,n8,n6)+ => ~ p(n5,n8,n6) )).++fof(axN45_8_7,axiom,+ ( p(n4,n8,n7)+ => ~ p(n5,n8,n7) )).++fof(axN45_8_8,axiom,+ ( p(n4,n8,n8)+ => ~ p(n5,n8,n8) )).++fof(axN45_8_9,axiom,+ ( p(n4,n8,n9)+ => ~ p(n5,n8,n9) )).++fof(axN46_8_1,axiom,+ ( p(n4,n8,n1)+ => ~ p(n6,n8,n1) )).++fof(axN46_8_2,axiom,+ ( p(n4,n8,n2)+ => ~ p(n6,n8,n2) )).++fof(axN46_8_3,axiom,+ ( p(n4,n8,n3)+ => ~ p(n6,n8,n3) )).++fof(axN46_8_4,axiom,+ ( p(n4,n8,n4)+ => ~ p(n6,n8,n4) )).++fof(axN46_8_5,axiom,+ ( p(n4,n8,n5)+ => ~ p(n6,n8,n5) )).++fof(axN46_8_6,axiom,+ ( p(n4,n8,n6)+ => ~ p(n6,n8,n6) )).++fof(axN46_8_7,axiom,+ ( p(n4,n8,n7)+ => ~ p(n6,n8,n7) )).++fof(axN46_8_8,axiom,+ ( p(n4,n8,n8)+ => ~ p(n6,n8,n8) )).++fof(axN46_8_9,axiom,+ ( p(n4,n8,n9)+ => ~ p(n6,n8,n9) )).++fof(axN47_8_1,axiom,+ ( p(n4,n8,n1)+ => ~ p(n7,n8,n1) )).++fof(axN47_8_2,axiom,+ ( p(n4,n8,n2)+ => ~ p(n7,n8,n2) )).++fof(axN47_8_3,axiom,+ ( p(n4,n8,n3)+ => ~ p(n7,n8,n3) )).++fof(axN47_8_4,axiom,+ ( p(n4,n8,n4)+ => ~ p(n7,n8,n4) )).++fof(axN47_8_5,axiom,+ ( p(n4,n8,n5)+ => ~ p(n7,n8,n5) )).++fof(axN47_8_6,axiom,+ ( p(n4,n8,n6)+ => ~ p(n7,n8,n6) )).++fof(axN47_8_7,axiom,+ ( p(n4,n8,n7)+ => ~ p(n7,n8,n7) )).++fof(axN47_8_8,axiom,+ ( p(n4,n8,n8)+ => ~ p(n7,n8,n8) )).++fof(axN47_8_9,axiom,+ ( p(n4,n8,n9)+ => ~ p(n7,n8,n9) )).++fof(axN48_8_1,axiom,+ ( p(n4,n8,n1)+ => ~ p(n8,n8,n1) )).++fof(axN48_8_2,axiom,+ ( p(n4,n8,n2)+ => ~ p(n8,n8,n2) )).++fof(axN48_8_3,axiom,+ ( p(n4,n8,n3)+ => ~ p(n8,n8,n3) )).++fof(axN48_8_4,axiom,+ ( p(n4,n8,n4)+ => ~ p(n8,n8,n4) )).++fof(axN48_8_5,axiom,+ ( p(n4,n8,n5)+ => ~ p(n8,n8,n5) )).++fof(axN48_8_6,axiom,+ ( p(n4,n8,n6)+ => ~ p(n8,n8,n6) )).++fof(axN48_8_7,axiom,+ ( p(n4,n8,n7)+ => ~ p(n8,n8,n7) )).++fof(axN48_8_8,axiom,+ ( p(n4,n8,n8)+ => ~ p(n8,n8,n8) )).++fof(axN48_8_9,axiom,+ ( p(n4,n8,n9)+ => ~ p(n8,n8,n9) )).++fof(axN49_8_1,axiom,+ ( p(n4,n8,n1)+ => ~ p(n9,n8,n1) )).++fof(axN49_8_2,axiom,+ ( p(n4,n8,n2)+ => ~ p(n9,n8,n2) )).++fof(axN49_8_3,axiom,+ ( p(n4,n8,n3)+ => ~ p(n9,n8,n3) )).++fof(axN49_8_4,axiom,+ ( p(n4,n8,n4)+ => ~ p(n9,n8,n4) )).++fof(axN49_8_5,axiom,+ ( p(n4,n8,n5)+ => ~ p(n9,n8,n5) )).++fof(axN49_8_6,axiom,+ ( p(n4,n8,n6)+ => ~ p(n9,n8,n6) )).++fof(axN49_8_7,axiom,+ ( p(n4,n8,n7)+ => ~ p(n9,n8,n7) )).++fof(axN49_8_8,axiom,+ ( p(n4,n8,n8)+ => ~ p(n9,n8,n8) )).++fof(axN49_8_9,axiom,+ ( p(n4,n8,n9)+ => ~ p(n9,n8,n9) )).++fof(axN56_8_1,axiom,+ ( p(n5,n8,n1)+ => ~ p(n6,n8,n1) )).++fof(axN56_8_2,axiom,+ ( p(n5,n8,n2)+ => ~ p(n6,n8,n2) )).++fof(axN56_8_3,axiom,+ ( p(n5,n8,n3)+ => ~ p(n6,n8,n3) )).++fof(axN56_8_4,axiom,+ ( p(n5,n8,n4)+ => ~ p(n6,n8,n4) )).++fof(axN56_8_5,axiom,+ ( p(n5,n8,n5)+ => ~ p(n6,n8,n5) )).++fof(axN56_8_6,axiom,+ ( p(n5,n8,n6)+ => ~ p(n6,n8,n6) )).++fof(axN56_8_7,axiom,+ ( p(n5,n8,n7)+ => ~ p(n6,n8,n7) )).++fof(axN56_8_8,axiom,+ ( p(n5,n8,n8)+ => ~ p(n6,n8,n8) )).++fof(axN56_8_9,axiom,+ ( p(n5,n8,n9)+ => ~ p(n6,n8,n9) )).++fof(axN57_8_1,axiom,+ ( p(n5,n8,n1)+ => ~ p(n7,n8,n1) )).++fof(axN57_8_2,axiom,+ ( p(n5,n8,n2)+ => ~ p(n7,n8,n2) )).++fof(axN57_8_3,axiom,+ ( p(n5,n8,n3)+ => ~ p(n7,n8,n3) )).++fof(axN57_8_4,axiom,+ ( p(n5,n8,n4)+ => ~ p(n7,n8,n4) )).++fof(axN57_8_5,axiom,+ ( p(n5,n8,n5)+ => ~ p(n7,n8,n5) )).++fof(axN57_8_6,axiom,+ ( p(n5,n8,n6)+ => ~ p(n7,n8,n6) )).++fof(axN57_8_7,axiom,+ ( p(n5,n8,n7)+ => ~ p(n7,n8,n7) )).++fof(axN57_8_8,axiom,+ ( p(n5,n8,n8)+ => ~ p(n7,n8,n8) )).++fof(axN57_8_9,axiom,+ ( p(n5,n8,n9)+ => ~ p(n7,n8,n9) )).++fof(axN58_8_1,axiom,+ ( p(n5,n8,n1)+ => ~ p(n8,n8,n1) )).++fof(axN58_8_2,axiom,+ ( p(n5,n8,n2)+ => ~ p(n8,n8,n2) )).++fof(axN58_8_3,axiom,+ ( p(n5,n8,n3)+ => ~ p(n8,n8,n3) )).++fof(axN58_8_4,axiom,+ ( p(n5,n8,n4)+ => ~ p(n8,n8,n4) )).++fof(axN58_8_5,axiom,+ ( p(n5,n8,n5)+ => ~ p(n8,n8,n5) )).++fof(axN58_8_6,axiom,+ ( p(n5,n8,n6)+ => ~ p(n8,n8,n6) )).++fof(axN58_8_7,axiom,+ ( p(n5,n8,n7)+ => ~ p(n8,n8,n7) )).++fof(axN58_8_8,axiom,+ ( p(n5,n8,n8)+ => ~ p(n8,n8,n8) )).++fof(axN58_8_9,axiom,+ ( p(n5,n8,n9)+ => ~ p(n8,n8,n9) )).++fof(axN59_8_1,axiom,+ ( p(n5,n8,n1)+ => ~ p(n9,n8,n1) )).++fof(axN59_8_2,axiom,+ ( p(n5,n8,n2)+ => ~ p(n9,n8,n2) )).++fof(axN59_8_3,axiom,+ ( p(n5,n8,n3)+ => ~ p(n9,n8,n3) )).++fof(axN59_8_4,axiom,+ ( p(n5,n8,n4)+ => ~ p(n9,n8,n4) )).++fof(axN59_8_5,axiom,+ ( p(n5,n8,n5)+ => ~ p(n9,n8,n5) )).++fof(axN59_8_6,axiom,+ ( p(n5,n8,n6)+ => ~ p(n9,n8,n6) )).++fof(axN59_8_7,axiom,+ ( p(n5,n8,n7)+ => ~ p(n9,n8,n7) )).++fof(axN59_8_8,axiom,+ ( p(n5,n8,n8)+ => ~ p(n9,n8,n8) )).++fof(axN59_8_9,axiom,+ ( p(n5,n8,n9)+ => ~ p(n9,n8,n9) )).++fof(axN67_8_1,axiom,+ ( p(n6,n8,n1)+ => ~ p(n7,n8,n1) )).++fof(axN67_8_2,axiom,+ ( p(n6,n8,n2)+ => ~ p(n7,n8,n2) )).++fof(axN67_8_3,axiom,+ ( p(n6,n8,n3)+ => ~ p(n7,n8,n3) )).++fof(axN67_8_4,axiom,+ ( p(n6,n8,n4)+ => ~ p(n7,n8,n4) )).++fof(axN67_8_5,axiom,+ ( p(n6,n8,n5)+ => ~ p(n7,n8,n5) )).++fof(axN67_8_6,axiom,+ ( p(n6,n8,n6)+ => ~ p(n7,n8,n6) )).++fof(axN67_8_7,axiom,+ ( p(n6,n8,n7)+ => ~ p(n7,n8,n7) )).++fof(axN67_8_8,axiom,+ ( p(n6,n8,n8)+ => ~ p(n7,n8,n8) )).++fof(axN67_8_9,axiom,+ ( p(n6,n8,n9)+ => ~ p(n7,n8,n9) )).++fof(axN68_8_1,axiom,+ ( p(n6,n8,n1)+ => ~ p(n8,n8,n1) )).++fof(axN68_8_2,axiom,+ ( p(n6,n8,n2)+ => ~ p(n8,n8,n2) )).++fof(axN68_8_3,axiom,+ ( p(n6,n8,n3)+ => ~ p(n8,n8,n3) )).++fof(axN68_8_4,axiom,+ ( p(n6,n8,n4)+ => ~ p(n8,n8,n4) )).++fof(axN68_8_5,axiom,+ ( p(n6,n8,n5)+ => ~ p(n8,n8,n5) )).++fof(axN68_8_6,axiom,+ ( p(n6,n8,n6)+ => ~ p(n8,n8,n6) )).++fof(axN68_8_7,axiom,+ ( p(n6,n8,n7)+ => ~ p(n8,n8,n7) )).++fof(axN68_8_8,axiom,+ ( p(n6,n8,n8)+ => ~ p(n8,n8,n8) )).++fof(axN68_8_9,axiom,+ ( p(n6,n8,n9)+ => ~ p(n8,n8,n9) )).++fof(axN69_8_1,axiom,+ ( p(n6,n8,n1)+ => ~ p(n9,n8,n1) )).++fof(axN69_8_2,axiom,+ ( p(n6,n8,n2)+ => ~ p(n9,n8,n2) )).++fof(axN69_8_3,axiom,+ ( p(n6,n8,n3)+ => ~ p(n9,n8,n3) )).++fof(axN69_8_4,axiom,+ ( p(n6,n8,n4)+ => ~ p(n9,n8,n4) )).++fof(axN69_8_5,axiom,+ ( p(n6,n8,n5)+ => ~ p(n9,n8,n5) )).++fof(axN69_8_6,axiom,+ ( p(n6,n8,n6)+ => ~ p(n9,n8,n6) )).++fof(axN69_8_7,axiom,+ ( p(n6,n8,n7)+ => ~ p(n9,n8,n7) )).++fof(axN69_8_8,axiom,+ ( p(n6,n8,n8)+ => ~ p(n9,n8,n8) )).++fof(axN69_8_9,axiom,+ ( p(n6,n8,n9)+ => ~ p(n9,n8,n9) )).++fof(axN78_8_1,axiom,+ ( p(n7,n8,n1)+ => ~ p(n8,n8,n1) )).++fof(axN78_8_2,axiom,+ ( p(n7,n8,n2)+ => ~ p(n8,n8,n2) )).++fof(axN78_8_3,axiom,+ ( p(n7,n8,n3)+ => ~ p(n8,n8,n3) )).++fof(axN78_8_4,axiom,+ ( p(n7,n8,n4)+ => ~ p(n8,n8,n4) )).++fof(axN78_8_5,axiom,+ ( p(n7,n8,n5)+ => ~ p(n8,n8,n5) )).++fof(axN78_8_6,axiom,+ ( p(n7,n8,n6)+ => ~ p(n8,n8,n6) )).++fof(axN78_8_7,axiom,+ ( p(n7,n8,n7)+ => ~ p(n8,n8,n7) )).++fof(axN78_8_8,axiom,+ ( p(n7,n8,n8)+ => ~ p(n8,n8,n8) )).++fof(axN78_8_9,axiom,+ ( p(n7,n8,n9)+ => ~ p(n8,n8,n9) )).++fof(axN79_8_1,axiom,+ ( p(n7,n8,n1)+ => ~ p(n9,n8,n1) )).++fof(axN79_8_2,axiom,+ ( p(n7,n8,n2)+ => ~ p(n9,n8,n2) )).++fof(axN79_8_3,axiom,+ ( p(n7,n8,n3)+ => ~ p(n9,n8,n3) )).++fof(axN79_8_4,axiom,+ ( p(n7,n8,n4)+ => ~ p(n9,n8,n4) )).++fof(axN79_8_5,axiom,+ ( p(n7,n8,n5)+ => ~ p(n9,n8,n5) )).++fof(axN79_8_6,axiom,+ ( p(n7,n8,n6)+ => ~ p(n9,n8,n6) )).++fof(axN79_8_7,axiom,+ ( p(n7,n8,n7)+ => ~ p(n9,n8,n7) )).++fof(axN79_8_8,axiom,+ ( p(n7,n8,n8)+ => ~ p(n9,n8,n8) )).++fof(axN79_8_9,axiom,+ ( p(n7,n8,n9)+ => ~ p(n9,n8,n9) )).++fof(axN89_8_1,axiom,+ ( p(n8,n8,n1)+ => ~ p(n9,n8,n1) )).++fof(axN89_8_2,axiom,+ ( p(n8,n8,n2)+ => ~ p(n9,n8,n2) )).++fof(axN89_8_3,axiom,+ ( p(n8,n8,n3)+ => ~ p(n9,n8,n3) )).++fof(axN89_8_4,axiom,+ ( p(n8,n8,n4)+ => ~ p(n9,n8,n4) )).++fof(axN89_8_5,axiom,+ ( p(n8,n8,n5)+ => ~ p(n9,n8,n5) )).++fof(axN89_8_6,axiom,+ ( p(n8,n8,n6)+ => ~ p(n9,n8,n6) )).++fof(axN89_8_7,axiom,+ ( p(n8,n8,n7)+ => ~ p(n9,n8,n7) )).++fof(axN89_8_8,axiom,+ ( p(n8,n8,n8)+ => ~ p(n9,n8,n8) )).++fof(axN89_8_9,axiom,+ ( p(n8,n8,n9)+ => ~ p(n9,n8,n9) )).++fof(axN12_9_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n2,n9,n1) )).++fof(axN12_9_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n2,n9,n2) )).++fof(axN12_9_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n2,n9,n3) )).++fof(axN12_9_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n2,n9,n4) )).++fof(axN12_9_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n2,n9,n5) )).++fof(axN12_9_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n2,n9,n6) )).++fof(axN12_9_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n2,n9,n7) )).++fof(axN12_9_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n2,n9,n8) )).++fof(axN12_9_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n2,n9,n9) )).++fof(axN13_9_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n3,n9,n1) )).++fof(axN13_9_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n3,n9,n2) )).++fof(axN13_9_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n3,n9,n3) )).++fof(axN13_9_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n3,n9,n4) )).++fof(axN13_9_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n3,n9,n5) )).++fof(axN13_9_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n3,n9,n6) )).++fof(axN13_9_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n3,n9,n7) )).++fof(axN13_9_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n3,n9,n8) )).++fof(axN13_9_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n3,n9,n9) )).++fof(axN14_9_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n4,n9,n1) )).++fof(axN14_9_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n4,n9,n2) )).++fof(axN14_9_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n4,n9,n3) )).++fof(axN14_9_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n4,n9,n4) )).++fof(axN14_9_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n4,n9,n5) )).++fof(axN14_9_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n4,n9,n6) )).++fof(axN14_9_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n4,n9,n7) )).++fof(axN14_9_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n4,n9,n8) )).++fof(axN14_9_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n4,n9,n9) )).++fof(axN15_9_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n5,n9,n1) )).++fof(axN15_9_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n5,n9,n2) )).++fof(axN15_9_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n5,n9,n3) )).++fof(axN15_9_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n5,n9,n4) )).++fof(axN15_9_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n5,n9,n5) )).++fof(axN15_9_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n5,n9,n6) )).++fof(axN15_9_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n5,n9,n7) )).++fof(axN15_9_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n5,n9,n8) )).++fof(axN15_9_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n5,n9,n9) )).++fof(axN16_9_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n6,n9,n1) )).++fof(axN16_9_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n6,n9,n2) )).++fof(axN16_9_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n6,n9,n3) )).++fof(axN16_9_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n6,n9,n4) )).++fof(axN16_9_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n6,n9,n5) )).++fof(axN16_9_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n6,n9,n6) )).++fof(axN16_9_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n6,n9,n7) )).++fof(axN16_9_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n6,n9,n8) )).++fof(axN16_9_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n6,n9,n9) )).++fof(axN17_9_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n7,n9,n1) )).++fof(axN17_9_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n7,n9,n2) )).++fof(axN17_9_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n7,n9,n3) )).++fof(axN17_9_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n7,n9,n4) )).++fof(axN17_9_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n7,n9,n5) )).++fof(axN17_9_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n7,n9,n6) )).++fof(axN17_9_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n7,n9,n7) )).++fof(axN17_9_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n7,n9,n8) )).++fof(axN17_9_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n7,n9,n9) )).++fof(axN18_9_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n8,n9,n1) )).++fof(axN18_9_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n8,n9,n2) )).++fof(axN18_9_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n8,n9,n3) )).++fof(axN18_9_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n8,n9,n4) )).++fof(axN18_9_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n8,n9,n5) )).++fof(axN18_9_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n8,n9,n6) )).++fof(axN18_9_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n8,n9,n7) )).++fof(axN18_9_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n8,n9,n8) )).++fof(axN18_9_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n8,n9,n9) )).++fof(axN19_9_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n9,n9,n1) )).++fof(axN19_9_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n9,n9,n2) )).++fof(axN19_9_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n9,n9,n3) )).++fof(axN19_9_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n9,n9,n4) )).++fof(axN19_9_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n9,n9,n5) )).++fof(axN19_9_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n9,n9,n6) )).++fof(axN19_9_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n9,n9,n7) )).++fof(axN19_9_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n9,n9,n8) )).++fof(axN19_9_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n9,n9,n9) )).++fof(axN23_9_1,axiom,+ ( p(n2,n9,n1)+ => ~ p(n3,n9,n1) )).++fof(axN23_9_2,axiom,+ ( p(n2,n9,n2)+ => ~ p(n3,n9,n2) )).++fof(axN23_9_3,axiom,+ ( p(n2,n9,n3)+ => ~ p(n3,n9,n3) )).++fof(axN23_9_4,axiom,+ ( p(n2,n9,n4)+ => ~ p(n3,n9,n4) )).++fof(axN23_9_5,axiom,+ ( p(n2,n9,n5)+ => ~ p(n3,n9,n5) )).++fof(axN23_9_6,axiom,+ ( p(n2,n9,n6)+ => ~ p(n3,n9,n6) )).++fof(axN23_9_7,axiom,+ ( p(n2,n9,n7)+ => ~ p(n3,n9,n7) )).++fof(axN23_9_8,axiom,+ ( p(n2,n9,n8)+ => ~ p(n3,n9,n8) )).++fof(axN23_9_9,axiom,+ ( p(n2,n9,n9)+ => ~ p(n3,n9,n9) )).++fof(axN24_9_1,axiom,+ ( p(n2,n9,n1)+ => ~ p(n4,n9,n1) )).++fof(axN24_9_2,axiom,+ ( p(n2,n9,n2)+ => ~ p(n4,n9,n2) )).++fof(axN24_9_3,axiom,+ ( p(n2,n9,n3)+ => ~ p(n4,n9,n3) )).++fof(axN24_9_4,axiom,+ ( p(n2,n9,n4)+ => ~ p(n4,n9,n4) )).++fof(axN24_9_5,axiom,+ ( p(n2,n9,n5)+ => ~ p(n4,n9,n5) )).++fof(axN24_9_6,axiom,+ ( p(n2,n9,n6)+ => ~ p(n4,n9,n6) )).++fof(axN24_9_7,axiom,+ ( p(n2,n9,n7)+ => ~ p(n4,n9,n7) )).++fof(axN24_9_8,axiom,+ ( p(n2,n9,n8)+ => ~ p(n4,n9,n8) )).++fof(axN24_9_9,axiom,+ ( p(n2,n9,n9)+ => ~ p(n4,n9,n9) )).++fof(axN25_9_1,axiom,+ ( p(n2,n9,n1)+ => ~ p(n5,n9,n1) )).++fof(axN25_9_2,axiom,+ ( p(n2,n9,n2)+ => ~ p(n5,n9,n2) )).++fof(axN25_9_3,axiom,+ ( p(n2,n9,n3)+ => ~ p(n5,n9,n3) )).++fof(axN25_9_4,axiom,+ ( p(n2,n9,n4)+ => ~ p(n5,n9,n4) )).++fof(axN25_9_5,axiom,+ ( p(n2,n9,n5)+ => ~ p(n5,n9,n5) )).++fof(axN25_9_6,axiom,+ ( p(n2,n9,n6)+ => ~ p(n5,n9,n6) )).++fof(axN25_9_7,axiom,+ ( p(n2,n9,n7)+ => ~ p(n5,n9,n7) )).++fof(axN25_9_8,axiom,+ ( p(n2,n9,n8)+ => ~ p(n5,n9,n8) )).++fof(axN25_9_9,axiom,+ ( p(n2,n9,n9)+ => ~ p(n5,n9,n9) )).++fof(axN26_9_1,axiom,+ ( p(n2,n9,n1)+ => ~ p(n6,n9,n1) )).++fof(axN26_9_2,axiom,+ ( p(n2,n9,n2)+ => ~ p(n6,n9,n2) )).++fof(axN26_9_3,axiom,+ ( p(n2,n9,n3)+ => ~ p(n6,n9,n3) )).++fof(axN26_9_4,axiom,+ ( p(n2,n9,n4)+ => ~ p(n6,n9,n4) )).++fof(axN26_9_5,axiom,+ ( p(n2,n9,n5)+ => ~ p(n6,n9,n5) )).++fof(axN26_9_6,axiom,+ ( p(n2,n9,n6)+ => ~ p(n6,n9,n6) )).++fof(axN26_9_7,axiom,+ ( p(n2,n9,n7)+ => ~ p(n6,n9,n7) )).++fof(axN26_9_8,axiom,+ ( p(n2,n9,n8)+ => ~ p(n6,n9,n8) )).++fof(axN26_9_9,axiom,+ ( p(n2,n9,n9)+ => ~ p(n6,n9,n9) )).++fof(axN27_9_1,axiom,+ ( p(n2,n9,n1)+ => ~ p(n7,n9,n1) )).++fof(axN27_9_2,axiom,+ ( p(n2,n9,n2)+ => ~ p(n7,n9,n2) )).++fof(axN27_9_3,axiom,+ ( p(n2,n9,n3)+ => ~ p(n7,n9,n3) )).++fof(axN27_9_4,axiom,+ ( p(n2,n9,n4)+ => ~ p(n7,n9,n4) )).++fof(axN27_9_5,axiom,+ ( p(n2,n9,n5)+ => ~ p(n7,n9,n5) )).++fof(axN27_9_6,axiom,+ ( p(n2,n9,n6)+ => ~ p(n7,n9,n6) )).++fof(axN27_9_7,axiom,+ ( p(n2,n9,n7)+ => ~ p(n7,n9,n7) )).++fof(axN27_9_8,axiom,+ ( p(n2,n9,n8)+ => ~ p(n7,n9,n8) )).++fof(axN27_9_9,axiom,+ ( p(n2,n9,n9)+ => ~ p(n7,n9,n9) )).++fof(axN28_9_1,axiom,+ ( p(n2,n9,n1)+ => ~ p(n8,n9,n1) )).++fof(axN28_9_2,axiom,+ ( p(n2,n9,n2)+ => ~ p(n8,n9,n2) )).++fof(axN28_9_3,axiom,+ ( p(n2,n9,n3)+ => ~ p(n8,n9,n3) )).++fof(axN28_9_4,axiom,+ ( p(n2,n9,n4)+ => ~ p(n8,n9,n4) )).++fof(axN28_9_5,axiom,+ ( p(n2,n9,n5)+ => ~ p(n8,n9,n5) )).++fof(axN28_9_6,axiom,+ ( p(n2,n9,n6)+ => ~ p(n8,n9,n6) )).++fof(axN28_9_7,axiom,+ ( p(n2,n9,n7)+ => ~ p(n8,n9,n7) )).++fof(axN28_9_8,axiom,+ ( p(n2,n9,n8)+ => ~ p(n8,n9,n8) )).++fof(axN28_9_9,axiom,+ ( p(n2,n9,n9)+ => ~ p(n8,n9,n9) )).++fof(axN29_9_1,axiom,+ ( p(n2,n9,n1)+ => ~ p(n9,n9,n1) )).++fof(axN29_9_2,axiom,+ ( p(n2,n9,n2)+ => ~ p(n9,n9,n2) )).++fof(axN29_9_3,axiom,+ ( p(n2,n9,n3)+ => ~ p(n9,n9,n3) )).++fof(axN29_9_4,axiom,+ ( p(n2,n9,n4)+ => ~ p(n9,n9,n4) )).++fof(axN29_9_5,axiom,+ ( p(n2,n9,n5)+ => ~ p(n9,n9,n5) )).++fof(axN29_9_6,axiom,+ ( p(n2,n9,n6)+ => ~ p(n9,n9,n6) )).++fof(axN29_9_7,axiom,+ ( p(n2,n9,n7)+ => ~ p(n9,n9,n7) )).++fof(axN29_9_8,axiom,+ ( p(n2,n9,n8)+ => ~ p(n9,n9,n8) )).++fof(axN29_9_9,axiom,+ ( p(n2,n9,n9)+ => ~ p(n9,n9,n9) )).++fof(axN34_9_1,axiom,+ ( p(n3,n9,n1)+ => ~ p(n4,n9,n1) )).++fof(axN34_9_2,axiom,+ ( p(n3,n9,n2)+ => ~ p(n4,n9,n2) )).++fof(axN34_9_3,axiom,+ ( p(n3,n9,n3)+ => ~ p(n4,n9,n3) )).++fof(axN34_9_4,axiom,+ ( p(n3,n9,n4)+ => ~ p(n4,n9,n4) )).++fof(axN34_9_5,axiom,+ ( p(n3,n9,n5)+ => ~ p(n4,n9,n5) )).++fof(axN34_9_6,axiom,+ ( p(n3,n9,n6)+ => ~ p(n4,n9,n6) )).++fof(axN34_9_7,axiom,+ ( p(n3,n9,n7)+ => ~ p(n4,n9,n7) )).++fof(axN34_9_8,axiom,+ ( p(n3,n9,n8)+ => ~ p(n4,n9,n8) )).++fof(axN34_9_9,axiom,+ ( p(n3,n9,n9)+ => ~ p(n4,n9,n9) )).++fof(axN35_9_1,axiom,+ ( p(n3,n9,n1)+ => ~ p(n5,n9,n1) )).++fof(axN35_9_2,axiom,+ ( p(n3,n9,n2)+ => ~ p(n5,n9,n2) )).++fof(axN35_9_3,axiom,+ ( p(n3,n9,n3)+ => ~ p(n5,n9,n3) )).++fof(axN35_9_4,axiom,+ ( p(n3,n9,n4)+ => ~ p(n5,n9,n4) )).++fof(axN35_9_5,axiom,+ ( p(n3,n9,n5)+ => ~ p(n5,n9,n5) )).++fof(axN35_9_6,axiom,+ ( p(n3,n9,n6)+ => ~ p(n5,n9,n6) )).++fof(axN35_9_7,axiom,+ ( p(n3,n9,n7)+ => ~ p(n5,n9,n7) )).++fof(axN35_9_8,axiom,+ ( p(n3,n9,n8)+ => ~ p(n5,n9,n8) )).++fof(axN35_9_9,axiom,+ ( p(n3,n9,n9)+ => ~ p(n5,n9,n9) )).++fof(axN36_9_1,axiom,+ ( p(n3,n9,n1)+ => ~ p(n6,n9,n1) )).++fof(axN36_9_2,axiom,+ ( p(n3,n9,n2)+ => ~ p(n6,n9,n2) )).++fof(axN36_9_3,axiom,+ ( p(n3,n9,n3)+ => ~ p(n6,n9,n3) )).++fof(axN36_9_4,axiom,+ ( p(n3,n9,n4)+ => ~ p(n6,n9,n4) )).++fof(axN36_9_5,axiom,+ ( p(n3,n9,n5)+ => ~ p(n6,n9,n5) )).++fof(axN36_9_6,axiom,+ ( p(n3,n9,n6)+ => ~ p(n6,n9,n6) )).++fof(axN36_9_7,axiom,+ ( p(n3,n9,n7)+ => ~ p(n6,n9,n7) )).++fof(axN36_9_8,axiom,+ ( p(n3,n9,n8)+ => ~ p(n6,n9,n8) )).++fof(axN36_9_9,axiom,+ ( p(n3,n9,n9)+ => ~ p(n6,n9,n9) )).++fof(axN37_9_1,axiom,+ ( p(n3,n9,n1)+ => ~ p(n7,n9,n1) )).++fof(axN37_9_2,axiom,+ ( p(n3,n9,n2)+ => ~ p(n7,n9,n2) )).++fof(axN37_9_3,axiom,+ ( p(n3,n9,n3)+ => ~ p(n7,n9,n3) )).++fof(axN37_9_4,axiom,+ ( p(n3,n9,n4)+ => ~ p(n7,n9,n4) )).++fof(axN37_9_5,axiom,+ ( p(n3,n9,n5)+ => ~ p(n7,n9,n5) )).++fof(axN37_9_6,axiom,+ ( p(n3,n9,n6)+ => ~ p(n7,n9,n6) )).++fof(axN37_9_7,axiom,+ ( p(n3,n9,n7)+ => ~ p(n7,n9,n7) )).++fof(axN37_9_8,axiom,+ ( p(n3,n9,n8)+ => ~ p(n7,n9,n8) )).++fof(axN37_9_9,axiom,+ ( p(n3,n9,n9)+ => ~ p(n7,n9,n9) )).++fof(axN38_9_1,axiom,+ ( p(n3,n9,n1)+ => ~ p(n8,n9,n1) )).++fof(axN38_9_2,axiom,+ ( p(n3,n9,n2)+ => ~ p(n8,n9,n2) )).++fof(axN38_9_3,axiom,+ ( p(n3,n9,n3)+ => ~ p(n8,n9,n3) )).++fof(axN38_9_4,axiom,+ ( p(n3,n9,n4)+ => ~ p(n8,n9,n4) )).++fof(axN38_9_5,axiom,+ ( p(n3,n9,n5)+ => ~ p(n8,n9,n5) )).++fof(axN38_9_6,axiom,+ ( p(n3,n9,n6)+ => ~ p(n8,n9,n6) )).++fof(axN38_9_7,axiom,+ ( p(n3,n9,n7)+ => ~ p(n8,n9,n7) )).++fof(axN38_9_8,axiom,+ ( p(n3,n9,n8)+ => ~ p(n8,n9,n8) )).++fof(axN38_9_9,axiom,+ ( p(n3,n9,n9)+ => ~ p(n8,n9,n9) )).++fof(axN39_9_1,axiom,+ ( p(n3,n9,n1)+ => ~ p(n9,n9,n1) )).++fof(axN39_9_2,axiom,+ ( p(n3,n9,n2)+ => ~ p(n9,n9,n2) )).++fof(axN39_9_3,axiom,+ ( p(n3,n9,n3)+ => ~ p(n9,n9,n3) )).++fof(axN39_9_4,axiom,+ ( p(n3,n9,n4)+ => ~ p(n9,n9,n4) )).++fof(axN39_9_5,axiom,+ ( p(n3,n9,n5)+ => ~ p(n9,n9,n5) )).++fof(axN39_9_6,axiom,+ ( p(n3,n9,n6)+ => ~ p(n9,n9,n6) )).++fof(axN39_9_7,axiom,+ ( p(n3,n9,n7)+ => ~ p(n9,n9,n7) )).++fof(axN39_9_8,axiom,+ ( p(n3,n9,n8)+ => ~ p(n9,n9,n8) )).++fof(axN39_9_9,axiom,+ ( p(n3,n9,n9)+ => ~ p(n9,n9,n9) )).++fof(axN45_9_1,axiom,+ ( p(n4,n9,n1)+ => ~ p(n5,n9,n1) )).++fof(axN45_9_2,axiom,+ ( p(n4,n9,n2)+ => ~ p(n5,n9,n2) )).++fof(axN45_9_3,axiom,+ ( p(n4,n9,n3)+ => ~ p(n5,n9,n3) )).++fof(axN45_9_4,axiom,+ ( p(n4,n9,n4)+ => ~ p(n5,n9,n4) )).++fof(axN45_9_5,axiom,+ ( p(n4,n9,n5)+ => ~ p(n5,n9,n5) )).++fof(axN45_9_6,axiom,+ ( p(n4,n9,n6)+ => ~ p(n5,n9,n6) )).++fof(axN45_9_7,axiom,+ ( p(n4,n9,n7)+ => ~ p(n5,n9,n7) )).++fof(axN45_9_8,axiom,+ ( p(n4,n9,n8)+ => ~ p(n5,n9,n8) )).++fof(axN45_9_9,axiom,+ ( p(n4,n9,n9)+ => ~ p(n5,n9,n9) )).++fof(axN46_9_1,axiom,+ ( p(n4,n9,n1)+ => ~ p(n6,n9,n1) )).++fof(axN46_9_2,axiom,+ ( p(n4,n9,n2)+ => ~ p(n6,n9,n2) )).++fof(axN46_9_3,axiom,+ ( p(n4,n9,n3)+ => ~ p(n6,n9,n3) )).++fof(axN46_9_4,axiom,+ ( p(n4,n9,n4)+ => ~ p(n6,n9,n4) )).++fof(axN46_9_5,axiom,+ ( p(n4,n9,n5)+ => ~ p(n6,n9,n5) )).++fof(axN46_9_6,axiom,+ ( p(n4,n9,n6)+ => ~ p(n6,n9,n6) )).++fof(axN46_9_7,axiom,+ ( p(n4,n9,n7)+ => ~ p(n6,n9,n7) )).++fof(axN46_9_8,axiom,+ ( p(n4,n9,n8)+ => ~ p(n6,n9,n8) )).++fof(axN46_9_9,axiom,+ ( p(n4,n9,n9)+ => ~ p(n6,n9,n9) )).++fof(axN47_9_1,axiom,+ ( p(n4,n9,n1)+ => ~ p(n7,n9,n1) )).++fof(axN47_9_2,axiom,+ ( p(n4,n9,n2)+ => ~ p(n7,n9,n2) )).++fof(axN47_9_3,axiom,+ ( p(n4,n9,n3)+ => ~ p(n7,n9,n3) )).++fof(axN47_9_4,axiom,+ ( p(n4,n9,n4)+ => ~ p(n7,n9,n4) )).++fof(axN47_9_5,axiom,+ ( p(n4,n9,n5)+ => ~ p(n7,n9,n5) )).++fof(axN47_9_6,axiom,+ ( p(n4,n9,n6)+ => ~ p(n7,n9,n6) )).++fof(axN47_9_7,axiom,+ ( p(n4,n9,n7)+ => ~ p(n7,n9,n7) )).++fof(axN47_9_8,axiom,+ ( p(n4,n9,n8)+ => ~ p(n7,n9,n8) )).++fof(axN47_9_9,axiom,+ ( p(n4,n9,n9)+ => ~ p(n7,n9,n9) )).++fof(axN48_9_1,axiom,+ ( p(n4,n9,n1)+ => ~ p(n8,n9,n1) )).++fof(axN48_9_2,axiom,+ ( p(n4,n9,n2)+ => ~ p(n8,n9,n2) )).++fof(axN48_9_3,axiom,+ ( p(n4,n9,n3)+ => ~ p(n8,n9,n3) )).++fof(axN48_9_4,axiom,+ ( p(n4,n9,n4)+ => ~ p(n8,n9,n4) )).++fof(axN48_9_5,axiom,+ ( p(n4,n9,n5)+ => ~ p(n8,n9,n5) )).++fof(axN48_9_6,axiom,+ ( p(n4,n9,n6)+ => ~ p(n8,n9,n6) )).++fof(axN48_9_7,axiom,+ ( p(n4,n9,n7)+ => ~ p(n8,n9,n7) )).++fof(axN48_9_8,axiom,+ ( p(n4,n9,n8)+ => ~ p(n8,n9,n8) )).++fof(axN48_9_9,axiom,+ ( p(n4,n9,n9)+ => ~ p(n8,n9,n9) )).++fof(axN49_9_1,axiom,+ ( p(n4,n9,n1)+ => ~ p(n9,n9,n1) )).++fof(axN49_9_2,axiom,+ ( p(n4,n9,n2)+ => ~ p(n9,n9,n2) )).++fof(axN49_9_3,axiom,+ ( p(n4,n9,n3)+ => ~ p(n9,n9,n3) )).++fof(axN49_9_4,axiom,+ ( p(n4,n9,n4)+ => ~ p(n9,n9,n4) )).++fof(axN49_9_5,axiom,+ ( p(n4,n9,n5)+ => ~ p(n9,n9,n5) )).++fof(axN49_9_6,axiom,+ ( p(n4,n9,n6)+ => ~ p(n9,n9,n6) )).++fof(axN49_9_7,axiom,+ ( p(n4,n9,n7)+ => ~ p(n9,n9,n7) )).++fof(axN49_9_8,axiom,+ ( p(n4,n9,n8)+ => ~ p(n9,n9,n8) )).++fof(axN49_9_9,axiom,+ ( p(n4,n9,n9)+ => ~ p(n9,n9,n9) )).++fof(axN56_9_1,axiom,+ ( p(n5,n9,n1)+ => ~ p(n6,n9,n1) )).++fof(axN56_9_2,axiom,+ ( p(n5,n9,n2)+ => ~ p(n6,n9,n2) )).++fof(axN56_9_3,axiom,+ ( p(n5,n9,n3)+ => ~ p(n6,n9,n3) )).++fof(axN56_9_4,axiom,+ ( p(n5,n9,n4)+ => ~ p(n6,n9,n4) )).++fof(axN56_9_5,axiom,+ ( p(n5,n9,n5)+ => ~ p(n6,n9,n5) )).++fof(axN56_9_6,axiom,+ ( p(n5,n9,n6)+ => ~ p(n6,n9,n6) )).++fof(axN56_9_7,axiom,+ ( p(n5,n9,n7)+ => ~ p(n6,n9,n7) )).++fof(axN56_9_8,axiom,+ ( p(n5,n9,n8)+ => ~ p(n6,n9,n8) )).++fof(axN56_9_9,axiom,+ ( p(n5,n9,n9)+ => ~ p(n6,n9,n9) )).++fof(axN57_9_1,axiom,+ ( p(n5,n9,n1)+ => ~ p(n7,n9,n1) )).++fof(axN57_9_2,axiom,+ ( p(n5,n9,n2)+ => ~ p(n7,n9,n2) )).++fof(axN57_9_3,axiom,+ ( p(n5,n9,n3)+ => ~ p(n7,n9,n3) )).++fof(axN57_9_4,axiom,+ ( p(n5,n9,n4)+ => ~ p(n7,n9,n4) )).++fof(axN57_9_5,axiom,+ ( p(n5,n9,n5)+ => ~ p(n7,n9,n5) )).++fof(axN57_9_6,axiom,+ ( p(n5,n9,n6)+ => ~ p(n7,n9,n6) )).++fof(axN57_9_7,axiom,+ ( p(n5,n9,n7)+ => ~ p(n7,n9,n7) )).++fof(axN57_9_8,axiom,+ ( p(n5,n9,n8)+ => ~ p(n7,n9,n8) )).++fof(axN57_9_9,axiom,+ ( p(n5,n9,n9)+ => ~ p(n7,n9,n9) )).++fof(axN58_9_1,axiom,+ ( p(n5,n9,n1)+ => ~ p(n8,n9,n1) )).++fof(axN58_9_2,axiom,+ ( p(n5,n9,n2)+ => ~ p(n8,n9,n2) )).++fof(axN58_9_3,axiom,+ ( p(n5,n9,n3)+ => ~ p(n8,n9,n3) )).++fof(axN58_9_4,axiom,+ ( p(n5,n9,n4)+ => ~ p(n8,n9,n4) )).++fof(axN58_9_5,axiom,+ ( p(n5,n9,n5)+ => ~ p(n8,n9,n5) )).++fof(axN58_9_6,axiom,+ ( p(n5,n9,n6)+ => ~ p(n8,n9,n6) )).++fof(axN58_9_7,axiom,+ ( p(n5,n9,n7)+ => ~ p(n8,n9,n7) )).++fof(axN58_9_8,axiom,+ ( p(n5,n9,n8)+ => ~ p(n8,n9,n8) )).++fof(axN58_9_9,axiom,+ ( p(n5,n9,n9)+ => ~ p(n8,n9,n9) )).++fof(axN59_9_1,axiom,+ ( p(n5,n9,n1)+ => ~ p(n9,n9,n1) )).++fof(axN59_9_2,axiom,+ ( p(n5,n9,n2)+ => ~ p(n9,n9,n2) )).++fof(axN59_9_3,axiom,+ ( p(n5,n9,n3)+ => ~ p(n9,n9,n3) )).++fof(axN59_9_4,axiom,+ ( p(n5,n9,n4)+ => ~ p(n9,n9,n4) )).++fof(axN59_9_5,axiom,+ ( p(n5,n9,n5)+ => ~ p(n9,n9,n5) )).++fof(axN59_9_6,axiom,+ ( p(n5,n9,n6)+ => ~ p(n9,n9,n6) )).++fof(axN59_9_7,axiom,+ ( p(n5,n9,n7)+ => ~ p(n9,n9,n7) )).++fof(axN59_9_8,axiom,+ ( p(n5,n9,n8)+ => ~ p(n9,n9,n8) )).++fof(axN59_9_9,axiom,+ ( p(n5,n9,n9)+ => ~ p(n9,n9,n9) )).++fof(axN67_9_1,axiom,+ ( p(n6,n9,n1)+ => ~ p(n7,n9,n1) )).++fof(axN67_9_2,axiom,+ ( p(n6,n9,n2)+ => ~ p(n7,n9,n2) )).++fof(axN67_9_3,axiom,+ ( p(n6,n9,n3)+ => ~ p(n7,n9,n3) )).++fof(axN67_9_4,axiom,+ ( p(n6,n9,n4)+ => ~ p(n7,n9,n4) )).++fof(axN67_9_5,axiom,+ ( p(n6,n9,n5)+ => ~ p(n7,n9,n5) )).++fof(axN67_9_6,axiom,+ ( p(n6,n9,n6)+ => ~ p(n7,n9,n6) )).++fof(axN67_9_7,axiom,+ ( p(n6,n9,n7)+ => ~ p(n7,n9,n7) )).++fof(axN67_9_8,axiom,+ ( p(n6,n9,n8)+ => ~ p(n7,n9,n8) )).++fof(axN67_9_9,axiom,+ ( p(n6,n9,n9)+ => ~ p(n7,n9,n9) )).++fof(axN68_9_1,axiom,+ ( p(n6,n9,n1)+ => ~ p(n8,n9,n1) )).++fof(axN68_9_2,axiom,+ ( p(n6,n9,n2)+ => ~ p(n8,n9,n2) )).++fof(axN68_9_3,axiom,+ ( p(n6,n9,n3)+ => ~ p(n8,n9,n3) )).++fof(axN68_9_4,axiom,+ ( p(n6,n9,n4)+ => ~ p(n8,n9,n4) )).++fof(axN68_9_5,axiom,+ ( p(n6,n9,n5)+ => ~ p(n8,n9,n5) )).++fof(axN68_9_6,axiom,+ ( p(n6,n9,n6)+ => ~ p(n8,n9,n6) )).++fof(axN68_9_7,axiom,+ ( p(n6,n9,n7)+ => ~ p(n8,n9,n7) )).++fof(axN68_9_8,axiom,+ ( p(n6,n9,n8)+ => ~ p(n8,n9,n8) )).++fof(axN68_9_9,axiom,+ ( p(n6,n9,n9)+ => ~ p(n8,n9,n9) )).++fof(axN69_9_1,axiom,+ ( p(n6,n9,n1)+ => ~ p(n9,n9,n1) )).++fof(axN69_9_2,axiom,+ ( p(n6,n9,n2)+ => ~ p(n9,n9,n2) )).++fof(axN69_9_3,axiom,+ ( p(n6,n9,n3)+ => ~ p(n9,n9,n3) )).++fof(axN69_9_4,axiom,+ ( p(n6,n9,n4)+ => ~ p(n9,n9,n4) )).++fof(axN69_9_5,axiom,+ ( p(n6,n9,n5)+ => ~ p(n9,n9,n5) )).++fof(axN69_9_6,axiom,+ ( p(n6,n9,n6)+ => ~ p(n9,n9,n6) )).++fof(axN69_9_7,axiom,+ ( p(n6,n9,n7)+ => ~ p(n9,n9,n7) )).++fof(axN69_9_8,axiom,+ ( p(n6,n9,n8)+ => ~ p(n9,n9,n8) )).++fof(axN69_9_9,axiom,+ ( p(n6,n9,n9)+ => ~ p(n9,n9,n9) )).++fof(axN78_9_1,axiom,+ ( p(n7,n9,n1)+ => ~ p(n8,n9,n1) )).++fof(axN78_9_2,axiom,+ ( p(n7,n9,n2)+ => ~ p(n8,n9,n2) )).++fof(axN78_9_3,axiom,+ ( p(n7,n9,n3)+ => ~ p(n8,n9,n3) )).++fof(axN78_9_4,axiom,+ ( p(n7,n9,n4)+ => ~ p(n8,n9,n4) )).++fof(axN78_9_5,axiom,+ ( p(n7,n9,n5)+ => ~ p(n8,n9,n5) )).++fof(axN78_9_6,axiom,+ ( p(n7,n9,n6)+ => ~ p(n8,n9,n6) )).++fof(axN78_9_7,axiom,+ ( p(n7,n9,n7)+ => ~ p(n8,n9,n7) )).++fof(axN78_9_8,axiom,+ ( p(n7,n9,n8)+ => ~ p(n8,n9,n8) )).++fof(axN78_9_9,axiom,+ ( p(n7,n9,n9)+ => ~ p(n8,n9,n9) )).++fof(axN79_9_1,axiom,+ ( p(n7,n9,n1)+ => ~ p(n9,n9,n1) )).++fof(axN79_9_2,axiom,+ ( p(n7,n9,n2)+ => ~ p(n9,n9,n2) )).++fof(axN79_9_3,axiom,+ ( p(n7,n9,n3)+ => ~ p(n9,n9,n3) )).++fof(axN79_9_4,axiom,+ ( p(n7,n9,n4)+ => ~ p(n9,n9,n4) )).++fof(axN79_9_5,axiom,+ ( p(n7,n9,n5)+ => ~ p(n9,n9,n5) )).++fof(axN79_9_6,axiom,+ ( p(n7,n9,n6)+ => ~ p(n9,n9,n6) )).++fof(axN79_9_7,axiom,+ ( p(n7,n9,n7)+ => ~ p(n9,n9,n7) )).++fof(axN79_9_8,axiom,+ ( p(n7,n9,n8)+ => ~ p(n9,n9,n8) )).++fof(axN79_9_9,axiom,+ ( p(n7,n9,n9)+ => ~ p(n9,n9,n9) )).++fof(axN89_9_1,axiom,+ ( p(n8,n9,n1)+ => ~ p(n9,n9,n1) )).++fof(axN89_9_2,axiom,+ ( p(n8,n9,n2)+ => ~ p(n9,n9,n2) )).++fof(axN89_9_3,axiom,+ ( p(n8,n9,n3)+ => ~ p(n9,n9,n3) )).++fof(axN89_9_4,axiom,+ ( p(n8,n9,n4)+ => ~ p(n9,n9,n4) )).++fof(axN89_9_5,axiom,+ ( p(n8,n9,n5)+ => ~ p(n9,n9,n5) )).++fof(axN89_9_6,axiom,+ ( p(n8,n9,n6)+ => ~ p(n9,n9,n6) )).++fof(axN89_9_7,axiom,+ ( p(n8,n9,n7)+ => ~ p(n9,n9,n7) )).++fof(axN89_9_8,axiom,+ ( p(n8,n9,n8)+ => ~ p(n9,n9,n8) )).++fof(axN89_9_9,axiom,+ ( p(n8,n9,n9)+ => ~ p(n9,n9,n9) )).++% Single Quadrat Constraints++fof(axN11_12,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n1,n2) )).++fof(axN11_13,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n1,n3) )).++fof(axN11_14,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n1,n4) )).++fof(axN11_15,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n1,n5) )).++fof(axN11_16,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n1,n6) )).++fof(axN11_17,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n1,n7) )).++fof(axN11_18,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n1,n8) )).++fof(axN11_19,axiom,+ ( p(n1,n1,n1)+ => ~ p(n1,n1,n9) )).++fof(axN11_23,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n1,n3) )).++fof(axN11_24,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n1,n4) )).++fof(axN11_25,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n1,n5) )).++fof(axN11_26,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n1,n6) )).++fof(axN11_27,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n1,n7) )).++fof(axN11_28,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n1,n8) )).++fof(axN11_29,axiom,+ ( p(n1,n1,n2)+ => ~ p(n1,n1,n9) )).++fof(axN11_34,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n1,n4) )).++fof(axN11_35,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n1,n5) )).++fof(axN11_36,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n1,n6) )).++fof(axN11_37,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n1,n7) )).++fof(axN11_38,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n1,n8) )).++fof(axN11_39,axiom,+ ( p(n1,n1,n3)+ => ~ p(n1,n1,n9) )).++fof(axN11_45,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n1,n5) )).++fof(axN11_46,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n1,n6) )).++fof(axN11_47,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n1,n7) )).++fof(axN11_48,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n1,n8) )).++fof(axN11_49,axiom,+ ( p(n1,n1,n4)+ => ~ p(n1,n1,n9) )).++fof(axN11_56,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n1,n6) )).++fof(axN11_57,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n1,n7) )).++fof(axN11_58,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n1,n8) )).++fof(axN11_59,axiom,+ ( p(n1,n1,n5)+ => ~ p(n1,n1,n9) )).++fof(axN11_67,axiom,+ ( p(n1,n1,n6)+ => ~ p(n1,n1,n7) )).++fof(axN11_68,axiom,+ ( p(n1,n1,n6)+ => ~ p(n1,n1,n8) )).++fof(axN11_69,axiom,+ ( p(n1,n1,n6)+ => ~ p(n1,n1,n9) )).++fof(axN11_78,axiom,+ ( p(n1,n1,n7)+ => ~ p(n1,n1,n8) )).++fof(axN11_79,axiom,+ ( p(n1,n1,n7)+ => ~ p(n1,n1,n9) )).++fof(axN11_89,axiom,+ ( p(n1,n1,n8)+ => ~ p(n1,n1,n9) )).++fof(axN12_12,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n2,n2) )).++fof(axN12_13,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n2,n3) )).++fof(axN12_14,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n2,n4) )).++fof(axN12_15,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n2,n5) )).++fof(axN12_16,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n2,n6) )).++fof(axN12_17,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n2,n7) )).++fof(axN12_18,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n2,n8) )).++fof(axN12_19,axiom,+ ( p(n1,n2,n1)+ => ~ p(n1,n2,n9) )).++fof(axN12_23,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n2,n3) )).++fof(axN12_24,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n2,n4) )).++fof(axN12_25,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n2,n5) )).++fof(axN12_26,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n2,n6) )).++fof(axN12_27,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n2,n7) )).++fof(axN12_28,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n2,n8) )).++fof(axN12_29,axiom,+ ( p(n1,n2,n2)+ => ~ p(n1,n2,n9) )).++fof(axN12_34,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n2,n4) )).++fof(axN12_35,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n2,n5) )).++fof(axN12_36,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n2,n6) )).++fof(axN12_37,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n2,n7) )).++fof(axN12_38,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n2,n8) )).++fof(axN12_39,axiom,+ ( p(n1,n2,n3)+ => ~ p(n1,n2,n9) )).++fof(axN12_45,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n2,n5) )).++fof(axN12_46,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n2,n6) )).++fof(axN12_47,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n2,n7) )).++fof(axN12_48,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n2,n8) )).++fof(axN12_49,axiom,+ ( p(n1,n2,n4)+ => ~ p(n1,n2,n9) )).++fof(axN12_56,axiom,+ ( p(n1,n2,n5)+ => ~ p(n1,n2,n6) )).++fof(axN12_57,axiom,+ ( p(n1,n2,n5)+ => ~ p(n1,n2,n7) )).++fof(axN12_58,axiom,+ ( p(n1,n2,n5)+ => ~ p(n1,n2,n8) )).++fof(axN12_59,axiom,+ ( p(n1,n2,n5)+ => ~ p(n1,n2,n9) )).++fof(axN12_67,axiom,+ ( p(n1,n2,n6)+ => ~ p(n1,n2,n7) )).++fof(axN12_68,axiom,+ ( p(n1,n2,n6)+ => ~ p(n1,n2,n8) )).++fof(axN12_69,axiom,+ ( p(n1,n2,n6)+ => ~ p(n1,n2,n9) )).++fof(axN12_78,axiom,+ ( p(n1,n2,n7)+ => ~ p(n1,n2,n8) )).++fof(axN12_79,axiom,+ ( p(n1,n2,n7)+ => ~ p(n1,n2,n9) )).++fof(axN12_89,axiom,+ ( p(n1,n2,n8)+ => ~ p(n1,n2,n9) )).++fof(axN13_12,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n3,n2) )).++fof(axN13_13,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n3,n3) )).++fof(axN13_14,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n3,n4) )).++fof(axN13_15,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n3,n5) )).++fof(axN13_16,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n3,n6) )).++fof(axN13_17,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n3,n7) )).++fof(axN13_18,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n3,n8) )).++fof(axN13_19,axiom,+ ( p(n1,n3,n1)+ => ~ p(n1,n3,n9) )).++fof(axN13_23,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n3,n3) )).++fof(axN13_24,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n3,n4) )).++fof(axN13_25,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n3,n5) )).++fof(axN13_26,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n3,n6) )).++fof(axN13_27,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n3,n7) )).++fof(axN13_28,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n3,n8) )).++fof(axN13_29,axiom,+ ( p(n1,n3,n2)+ => ~ p(n1,n3,n9) )).++fof(axN13_34,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n3,n4) )).++fof(axN13_35,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n3,n5) )).++fof(axN13_36,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n3,n6) )).++fof(axN13_37,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n3,n7) )).++fof(axN13_38,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n3,n8) )).++fof(axN13_39,axiom,+ ( p(n1,n3,n3)+ => ~ p(n1,n3,n9) )).++fof(axN13_45,axiom,+ ( p(n1,n3,n4)+ => ~ p(n1,n3,n5) )).++fof(axN13_46,axiom,+ ( p(n1,n3,n4)+ => ~ p(n1,n3,n6) )).++fof(axN13_47,axiom,+ ( p(n1,n3,n4)+ => ~ p(n1,n3,n7) )).++fof(axN13_48,axiom,+ ( p(n1,n3,n4)+ => ~ p(n1,n3,n8) )).++fof(axN13_49,axiom,+ ( p(n1,n3,n4)+ => ~ p(n1,n3,n9) )).++fof(axN13_56,axiom,+ ( p(n1,n3,n5)+ => ~ p(n1,n3,n6) )).++fof(axN13_57,axiom,+ ( p(n1,n3,n5)+ => ~ p(n1,n3,n7) )).++fof(axN13_58,axiom,+ ( p(n1,n3,n5)+ => ~ p(n1,n3,n8) )).++fof(axN13_59,axiom,+ ( p(n1,n3,n5)+ => ~ p(n1,n3,n9) )).++fof(axN13_67,axiom,+ ( p(n1,n3,n6)+ => ~ p(n1,n3,n7) )).++fof(axN13_68,axiom,+ ( p(n1,n3,n6)+ => ~ p(n1,n3,n8) )).++fof(axN13_69,axiom,+ ( p(n1,n3,n6)+ => ~ p(n1,n3,n9) )).++fof(axN13_78,axiom,+ ( p(n1,n3,n7)+ => ~ p(n1,n3,n8) )).++fof(axN13_79,axiom,+ ( p(n1,n3,n7)+ => ~ p(n1,n3,n9) )).++fof(axN13_89,axiom,+ ( p(n1,n3,n8)+ => ~ p(n1,n3,n9) )).++fof(axN14_12,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n4,n2) )).++fof(axN14_13,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n4,n3) )).++fof(axN14_14,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n4,n4) )).++fof(axN14_15,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n4,n5) )).++fof(axN14_16,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n4,n6) )).++fof(axN14_17,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n4,n7) )).++fof(axN14_18,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n4,n8) )).++fof(axN14_19,axiom,+ ( p(n1,n4,n1)+ => ~ p(n1,n4,n9) )).++fof(axN14_23,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n4,n3) )).++fof(axN14_24,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n4,n4) )).++fof(axN14_25,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n4,n5) )).++fof(axN14_26,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n4,n6) )).++fof(axN14_27,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n4,n7) )).++fof(axN14_28,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n4,n8) )).++fof(axN14_29,axiom,+ ( p(n1,n4,n2)+ => ~ p(n1,n4,n9) )).++fof(axN14_34,axiom,+ ( p(n1,n4,n3)+ => ~ p(n1,n4,n4) )).++fof(axN14_35,axiom,+ ( p(n1,n4,n3)+ => ~ p(n1,n4,n5) )).++fof(axN14_36,axiom,+ ( p(n1,n4,n3)+ => ~ p(n1,n4,n6) )).++fof(axN14_37,axiom,+ ( p(n1,n4,n3)+ => ~ p(n1,n4,n7) )).++fof(axN14_38,axiom,+ ( p(n1,n4,n3)+ => ~ p(n1,n4,n8) )).++fof(axN14_39,axiom,+ ( p(n1,n4,n3)+ => ~ p(n1,n4,n9) )).++fof(axN14_45,axiom,+ ( p(n1,n4,n4)+ => ~ p(n1,n4,n5) )).++fof(axN14_46,axiom,+ ( p(n1,n4,n4)+ => ~ p(n1,n4,n6) )).++fof(axN14_47,axiom,+ ( p(n1,n4,n4)+ => ~ p(n1,n4,n7) )).++fof(axN14_48,axiom,+ ( p(n1,n4,n4)+ => ~ p(n1,n4,n8) )).++fof(axN14_49,axiom,+ ( p(n1,n4,n4)+ => ~ p(n1,n4,n9) )).++fof(axN14_56,axiom,+ ( p(n1,n4,n5)+ => ~ p(n1,n4,n6) )).++fof(axN14_57,axiom,+ ( p(n1,n4,n5)+ => ~ p(n1,n4,n7) )).++fof(axN14_58,axiom,+ ( p(n1,n4,n5)+ => ~ p(n1,n4,n8) )).++fof(axN14_59,axiom,+ ( p(n1,n4,n5)+ => ~ p(n1,n4,n9) )).++fof(axN14_67,axiom,+ ( p(n1,n4,n6)+ => ~ p(n1,n4,n7) )).++fof(axN14_68,axiom,+ ( p(n1,n4,n6)+ => ~ p(n1,n4,n8) )).++fof(axN14_69,axiom,+ ( p(n1,n4,n6)+ => ~ p(n1,n4,n9) )).++fof(axN14_78,axiom,+ ( p(n1,n4,n7)+ => ~ p(n1,n4,n8) )).++fof(axN14_79,axiom,+ ( p(n1,n4,n7)+ => ~ p(n1,n4,n9) )).++fof(axN14_89,axiom,+ ( p(n1,n4,n8)+ => ~ p(n1,n4,n9) )).++fof(axN15_12,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n5,n2) )).++fof(axN15_13,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n5,n3) )).++fof(axN15_14,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n5,n4) )).++fof(axN15_15,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n5,n5) )).++fof(axN15_16,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n5,n6) )).++fof(axN15_17,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n5,n7) )).++fof(axN15_18,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n5,n8) )).++fof(axN15_19,axiom,+ ( p(n1,n5,n1)+ => ~ p(n1,n5,n9) )).++fof(axN15_23,axiom,+ ( p(n1,n5,n2)+ => ~ p(n1,n5,n3) )).++fof(axN15_24,axiom,+ ( p(n1,n5,n2)+ => ~ p(n1,n5,n4) )).++fof(axN15_25,axiom,+ ( p(n1,n5,n2)+ => ~ p(n1,n5,n5) )).++fof(axN15_26,axiom,+ ( p(n1,n5,n2)+ => ~ p(n1,n5,n6) )).++fof(axN15_27,axiom,+ ( p(n1,n5,n2)+ => ~ p(n1,n5,n7) )).++fof(axN15_28,axiom,+ ( p(n1,n5,n2)+ => ~ p(n1,n5,n8) )).++fof(axN15_29,axiom,+ ( p(n1,n5,n2)+ => ~ p(n1,n5,n9) )).++fof(axN15_34,axiom,+ ( p(n1,n5,n3)+ => ~ p(n1,n5,n4) )).++fof(axN15_35,axiom,+ ( p(n1,n5,n3)+ => ~ p(n1,n5,n5) )).++fof(axN15_36,axiom,+ ( p(n1,n5,n3)+ => ~ p(n1,n5,n6) )).++fof(axN15_37,axiom,+ ( p(n1,n5,n3)+ => ~ p(n1,n5,n7) )).++fof(axN15_38,axiom,+ ( p(n1,n5,n3)+ => ~ p(n1,n5,n8) )).++fof(axN15_39,axiom,+ ( p(n1,n5,n3)+ => ~ p(n1,n5,n9) )).++fof(axN15_45,axiom,+ ( p(n1,n5,n4)+ => ~ p(n1,n5,n5) )).++fof(axN15_46,axiom,+ ( p(n1,n5,n4)+ => ~ p(n1,n5,n6) )).++fof(axN15_47,axiom,+ ( p(n1,n5,n4)+ => ~ p(n1,n5,n7) )).++fof(axN15_48,axiom,+ ( p(n1,n5,n4)+ => ~ p(n1,n5,n8) )).++fof(axN15_49,axiom,+ ( p(n1,n5,n4)+ => ~ p(n1,n5,n9) )).++fof(axN15_56,axiom,+ ( p(n1,n5,n5)+ => ~ p(n1,n5,n6) )).++fof(axN15_57,axiom,+ ( p(n1,n5,n5)+ => ~ p(n1,n5,n7) )).++fof(axN15_58,axiom,+ ( p(n1,n5,n5)+ => ~ p(n1,n5,n8) )).++fof(axN15_59,axiom,+ ( p(n1,n5,n5)+ => ~ p(n1,n5,n9) )).++fof(axN15_67,axiom,+ ( p(n1,n5,n6)+ => ~ p(n1,n5,n7) )).++fof(axN15_68,axiom,+ ( p(n1,n5,n6)+ => ~ p(n1,n5,n8) )).++fof(axN15_69,axiom,+ ( p(n1,n5,n6)+ => ~ p(n1,n5,n9) )).++fof(axN15_78,axiom,+ ( p(n1,n5,n7)+ => ~ p(n1,n5,n8) )).++fof(axN15_79,axiom,+ ( p(n1,n5,n7)+ => ~ p(n1,n5,n9) )).++fof(axN15_89,axiom,+ ( p(n1,n5,n8)+ => ~ p(n1,n5,n9) )).++fof(axN16_12,axiom,+ ( p(n1,n6,n1)+ => ~ p(n1,n6,n2) )).++fof(axN16_13,axiom,+ ( p(n1,n6,n1)+ => ~ p(n1,n6,n3) )).++fof(axN16_14,axiom,+ ( p(n1,n6,n1)+ => ~ p(n1,n6,n4) )).++fof(axN16_15,axiom,+ ( p(n1,n6,n1)+ => ~ p(n1,n6,n5) )).++fof(axN16_16,axiom,+ ( p(n1,n6,n1)+ => ~ p(n1,n6,n6) )).++fof(axN16_17,axiom,+ ( p(n1,n6,n1)+ => ~ p(n1,n6,n7) )).++fof(axN16_18,axiom,+ ( p(n1,n6,n1)+ => ~ p(n1,n6,n8) )).++fof(axN16_19,axiom,+ ( p(n1,n6,n1)+ => ~ p(n1,n6,n9) )).++fof(axN16_23,axiom,+ ( p(n1,n6,n2)+ => ~ p(n1,n6,n3) )).++fof(axN16_24,axiom,+ ( p(n1,n6,n2)+ => ~ p(n1,n6,n4) )).++fof(axN16_25,axiom,+ ( p(n1,n6,n2)+ => ~ p(n1,n6,n5) )).++fof(axN16_26,axiom,+ ( p(n1,n6,n2)+ => ~ p(n1,n6,n6) )).++fof(axN16_27,axiom,+ ( p(n1,n6,n2)+ => ~ p(n1,n6,n7) )).++fof(axN16_28,axiom,+ ( p(n1,n6,n2)+ => ~ p(n1,n6,n8) )).++fof(axN16_29,axiom,+ ( p(n1,n6,n2)+ => ~ p(n1,n6,n9) )).++fof(axN16_34,axiom,+ ( p(n1,n6,n3)+ => ~ p(n1,n6,n4) )).++fof(axN16_35,axiom,+ ( p(n1,n6,n3)+ => ~ p(n1,n6,n5) )).++fof(axN16_36,axiom,+ ( p(n1,n6,n3)+ => ~ p(n1,n6,n6) )).++fof(axN16_37,axiom,+ ( p(n1,n6,n3)+ => ~ p(n1,n6,n7) )).++fof(axN16_38,axiom,+ ( p(n1,n6,n3)+ => ~ p(n1,n6,n8) )).++fof(axN16_39,axiom,+ ( p(n1,n6,n3)+ => ~ p(n1,n6,n9) )).++fof(axN16_45,axiom,+ ( p(n1,n6,n4)+ => ~ p(n1,n6,n5) )).++fof(axN16_46,axiom,+ ( p(n1,n6,n4)+ => ~ p(n1,n6,n6) )).++fof(axN16_47,axiom,+ ( p(n1,n6,n4)+ => ~ p(n1,n6,n7) )).++fof(axN16_48,axiom,+ ( p(n1,n6,n4)+ => ~ p(n1,n6,n8) )).++fof(axN16_49,axiom,+ ( p(n1,n6,n4)+ => ~ p(n1,n6,n9) )).++fof(axN16_56,axiom,+ ( p(n1,n6,n5)+ => ~ p(n1,n6,n6) )).++fof(axN16_57,axiom,+ ( p(n1,n6,n5)+ => ~ p(n1,n6,n7) )).++fof(axN16_58,axiom,+ ( p(n1,n6,n5)+ => ~ p(n1,n6,n8) )).++fof(axN16_59,axiom,+ ( p(n1,n6,n5)+ => ~ p(n1,n6,n9) )).++fof(axN16_67,axiom,+ ( p(n1,n6,n6)+ => ~ p(n1,n6,n7) )).++fof(axN16_68,axiom,+ ( p(n1,n6,n6)+ => ~ p(n1,n6,n8) )).++fof(axN16_69,axiom,+ ( p(n1,n6,n6)+ => ~ p(n1,n6,n9) )).++fof(axN16_78,axiom,+ ( p(n1,n6,n7)+ => ~ p(n1,n6,n8) )).++fof(axN16_79,axiom,+ ( p(n1,n6,n7)+ => ~ p(n1,n6,n9) )).++fof(axN16_89,axiom,+ ( p(n1,n6,n8)+ => ~ p(n1,n6,n9) )).++fof(axN17_12,axiom,+ ( p(n1,n7,n1)+ => ~ p(n1,n7,n2) )).++fof(axN17_13,axiom,+ ( p(n1,n7,n1)+ => ~ p(n1,n7,n3) )).++fof(axN17_14,axiom,+ ( p(n1,n7,n1)+ => ~ p(n1,n7,n4) )).++fof(axN17_15,axiom,+ ( p(n1,n7,n1)+ => ~ p(n1,n7,n5) )).++fof(axN17_16,axiom,+ ( p(n1,n7,n1)+ => ~ p(n1,n7,n6) )).++fof(axN17_17,axiom,+ ( p(n1,n7,n1)+ => ~ p(n1,n7,n7) )).++fof(axN17_18,axiom,+ ( p(n1,n7,n1)+ => ~ p(n1,n7,n8) )).++fof(axN17_19,axiom,+ ( p(n1,n7,n1)+ => ~ p(n1,n7,n9) )).++fof(axN17_23,axiom,+ ( p(n1,n7,n2)+ => ~ p(n1,n7,n3) )).++fof(axN17_24,axiom,+ ( p(n1,n7,n2)+ => ~ p(n1,n7,n4) )).++fof(axN17_25,axiom,+ ( p(n1,n7,n2)+ => ~ p(n1,n7,n5) )).++fof(axN17_26,axiom,+ ( p(n1,n7,n2)+ => ~ p(n1,n7,n6) )).++fof(axN17_27,axiom,+ ( p(n1,n7,n2)+ => ~ p(n1,n7,n7) )).++fof(axN17_28,axiom,+ ( p(n1,n7,n2)+ => ~ p(n1,n7,n8) )).++fof(axN17_29,axiom,+ ( p(n1,n7,n2)+ => ~ p(n1,n7,n9) )).++fof(axN17_34,axiom,+ ( p(n1,n7,n3)+ => ~ p(n1,n7,n4) )).++fof(axN17_35,axiom,+ ( p(n1,n7,n3)+ => ~ p(n1,n7,n5) )).++fof(axN17_36,axiom,+ ( p(n1,n7,n3)+ => ~ p(n1,n7,n6) )).++fof(axN17_37,axiom,+ ( p(n1,n7,n3)+ => ~ p(n1,n7,n7) )).++fof(axN17_38,axiom,+ ( p(n1,n7,n3)+ => ~ p(n1,n7,n8) )).++fof(axN17_39,axiom,+ ( p(n1,n7,n3)+ => ~ p(n1,n7,n9) )).++fof(axN17_45,axiom,+ ( p(n1,n7,n4)+ => ~ p(n1,n7,n5) )).++fof(axN17_46,axiom,+ ( p(n1,n7,n4)+ => ~ p(n1,n7,n6) )).++fof(axN17_47,axiom,+ ( p(n1,n7,n4)+ => ~ p(n1,n7,n7) )).++fof(axN17_48,axiom,+ ( p(n1,n7,n4)+ => ~ p(n1,n7,n8) )).++fof(axN17_49,axiom,+ ( p(n1,n7,n4)+ => ~ p(n1,n7,n9) )).++fof(axN17_56,axiom,+ ( p(n1,n7,n5)+ => ~ p(n1,n7,n6) )).++fof(axN17_57,axiom,+ ( p(n1,n7,n5)+ => ~ p(n1,n7,n7) )).++fof(axN17_58,axiom,+ ( p(n1,n7,n5)+ => ~ p(n1,n7,n8) )).++fof(axN17_59,axiom,+ ( p(n1,n7,n5)+ => ~ p(n1,n7,n9) )).++fof(axN17_67,axiom,+ ( p(n1,n7,n6)+ => ~ p(n1,n7,n7) )).++fof(axN17_68,axiom,+ ( p(n1,n7,n6)+ => ~ p(n1,n7,n8) )).++fof(axN17_69,axiom,+ ( p(n1,n7,n6)+ => ~ p(n1,n7,n9) )).++fof(axN17_78,axiom,+ ( p(n1,n7,n7)+ => ~ p(n1,n7,n8) )).++fof(axN17_79,axiom,+ ( p(n1,n7,n7)+ => ~ p(n1,n7,n9) )).++fof(axN17_89,axiom,+ ( p(n1,n7,n8)+ => ~ p(n1,n7,n9) )).++fof(axN18_12,axiom,+ ( p(n1,n8,n1)+ => ~ p(n1,n8,n2) )).++fof(axN18_13,axiom,+ ( p(n1,n8,n1)+ => ~ p(n1,n8,n3) )).++fof(axN18_14,axiom,+ ( p(n1,n8,n1)+ => ~ p(n1,n8,n4) )).++fof(axN18_15,axiom,+ ( p(n1,n8,n1)+ => ~ p(n1,n8,n5) )).++fof(axN18_16,axiom,+ ( p(n1,n8,n1)+ => ~ p(n1,n8,n6) )).++fof(axN18_17,axiom,+ ( p(n1,n8,n1)+ => ~ p(n1,n8,n7) )).++fof(axN18_18,axiom,+ ( p(n1,n8,n1)+ => ~ p(n1,n8,n8) )).++fof(axN18_19,axiom,+ ( p(n1,n8,n1)+ => ~ p(n1,n8,n9) )).++fof(axN18_23,axiom,+ ( p(n1,n8,n2)+ => ~ p(n1,n8,n3) )).++fof(axN18_24,axiom,+ ( p(n1,n8,n2)+ => ~ p(n1,n8,n4) )).++fof(axN18_25,axiom,+ ( p(n1,n8,n2)+ => ~ p(n1,n8,n5) )).++fof(axN18_26,axiom,+ ( p(n1,n8,n2)+ => ~ p(n1,n8,n6) )).++fof(axN18_27,axiom,+ ( p(n1,n8,n2)+ => ~ p(n1,n8,n7) )).++fof(axN18_28,axiom,+ ( p(n1,n8,n2)+ => ~ p(n1,n8,n8) )).++fof(axN18_29,axiom,+ ( p(n1,n8,n2)+ => ~ p(n1,n8,n9) )).++fof(axN18_34,axiom,+ ( p(n1,n8,n3)+ => ~ p(n1,n8,n4) )).++fof(axN18_35,axiom,+ ( p(n1,n8,n3)+ => ~ p(n1,n8,n5) )).++fof(axN18_36,axiom,+ ( p(n1,n8,n3)+ => ~ p(n1,n8,n6) )).++fof(axN18_37,axiom,+ ( p(n1,n8,n3)+ => ~ p(n1,n8,n7) )).++fof(axN18_38,axiom,+ ( p(n1,n8,n3)+ => ~ p(n1,n8,n8) )).++fof(axN18_39,axiom,+ ( p(n1,n8,n3)+ => ~ p(n1,n8,n9) )).++fof(axN18_45,axiom,+ ( p(n1,n8,n4)+ => ~ p(n1,n8,n5) )).++fof(axN18_46,axiom,+ ( p(n1,n8,n4)+ => ~ p(n1,n8,n6) )).++fof(axN18_47,axiom,+ ( p(n1,n8,n4)+ => ~ p(n1,n8,n7) )).++fof(axN18_48,axiom,+ ( p(n1,n8,n4)+ => ~ p(n1,n8,n8) )).++fof(axN18_49,axiom,+ ( p(n1,n8,n4)+ => ~ p(n1,n8,n9) )).++fof(axN18_56,axiom,+ ( p(n1,n8,n5)+ => ~ p(n1,n8,n6) )).++fof(axN18_57,axiom,+ ( p(n1,n8,n5)+ => ~ p(n1,n8,n7) )).++fof(axN18_58,axiom,+ ( p(n1,n8,n5)+ => ~ p(n1,n8,n8) )).++fof(axN18_59,axiom,+ ( p(n1,n8,n5)+ => ~ p(n1,n8,n9) )).++fof(axN18_67,axiom,+ ( p(n1,n8,n6)+ => ~ p(n1,n8,n7) )).++fof(axN18_68,axiom,+ ( p(n1,n8,n6)+ => ~ p(n1,n8,n8) )).++fof(axN18_69,axiom,+ ( p(n1,n8,n6)+ => ~ p(n1,n8,n9) )).++fof(axN18_78,axiom,+ ( p(n1,n8,n7)+ => ~ p(n1,n8,n8) )).++fof(axN18_79,axiom,+ ( p(n1,n8,n7)+ => ~ p(n1,n8,n9) )).++fof(axN18_89,axiom,+ ( p(n1,n8,n8)+ => ~ p(n1,n8,n9) )).++fof(axN19_12,axiom,+ ( p(n1,n9,n1)+ => ~ p(n1,n9,n2) )).++fof(axN19_13,axiom,+ ( p(n1,n9,n1)+ => ~ p(n1,n9,n3) )).++fof(axN19_14,axiom,+ ( p(n1,n9,n1)+ => ~ p(n1,n9,n4) )).++fof(axN19_15,axiom,+ ( p(n1,n9,n1)+ => ~ p(n1,n9,n5) )).++fof(axN19_16,axiom,+ ( p(n1,n9,n1)+ => ~ p(n1,n9,n6) )).++fof(axN19_17,axiom,+ ( p(n1,n9,n1)+ => ~ p(n1,n9,n7) )).++fof(axN19_18,axiom,+ ( p(n1,n9,n1)+ => ~ p(n1,n9,n8) )).++fof(axN19_19,axiom,+ ( p(n1,n9,n1)+ => ~ p(n1,n9,n9) )).++fof(axN19_23,axiom,+ ( p(n1,n9,n2)+ => ~ p(n1,n9,n3) )).++fof(axN19_24,axiom,+ ( p(n1,n9,n2)+ => ~ p(n1,n9,n4) )).++fof(axN19_25,axiom,+ ( p(n1,n9,n2)+ => ~ p(n1,n9,n5) )).++fof(axN19_26,axiom,+ ( p(n1,n9,n2)+ => ~ p(n1,n9,n6) )).++fof(axN19_27,axiom,+ ( p(n1,n9,n2)+ => ~ p(n1,n9,n7) )).++fof(axN19_28,axiom,+ ( p(n1,n9,n2)+ => ~ p(n1,n9,n8) )).++fof(axN19_29,axiom,+ ( p(n1,n9,n2)+ => ~ p(n1,n9,n9) )).++fof(axN19_34,axiom,+ ( p(n1,n9,n3)+ => ~ p(n1,n9,n4) )).++fof(axN19_35,axiom,+ ( p(n1,n9,n3)+ => ~ p(n1,n9,n5) )).++fof(axN19_36,axiom,+ ( p(n1,n9,n3)+ => ~ p(n1,n9,n6) )).++fof(axN19_37,axiom,+ ( p(n1,n9,n3)+ => ~ p(n1,n9,n7) )).++fof(axN19_38,axiom,+ ( p(n1,n9,n3)+ => ~ p(n1,n9,n8) )).++fof(axN19_39,axiom,+ ( p(n1,n9,n3)+ => ~ p(n1,n9,n9) )).++fof(axN19_45,axiom,+ ( p(n1,n9,n4)+ => ~ p(n1,n9,n5) )).++fof(axN19_46,axiom,+ ( p(n1,n9,n4)+ => ~ p(n1,n9,n6) )).++fof(axN19_47,axiom,+ ( p(n1,n9,n4)+ => ~ p(n1,n9,n7) )).++fof(axN19_48,axiom,+ ( p(n1,n9,n4)+ => ~ p(n1,n9,n8) )).++fof(axN19_49,axiom,+ ( p(n1,n9,n4)+ => ~ p(n1,n9,n9) )).++fof(axN19_56,axiom,+ ( p(n1,n9,n5)+ => ~ p(n1,n9,n6) )).++fof(axN19_57,axiom,+ ( p(n1,n9,n5)+ => ~ p(n1,n9,n7) )).++fof(axN19_58,axiom,+ ( p(n1,n9,n5)+ => ~ p(n1,n9,n8) )).++fof(axN19_59,axiom,+ ( p(n1,n9,n5)+ => ~ p(n1,n9,n9) )).++fof(axN19_67,axiom,+ ( p(n1,n9,n6)+ => ~ p(n1,n9,n7) )).++fof(axN19_68,axiom,+ ( p(n1,n9,n6)+ => ~ p(n1,n9,n8) )).++fof(axN19_69,axiom,+ ( p(n1,n9,n6)+ => ~ p(n1,n9,n9) )).++fof(axN19_78,axiom,+ ( p(n1,n9,n7)+ => ~ p(n1,n9,n8) )).++fof(axN19_79,axiom,+ ( p(n1,n9,n7)+ => ~ p(n1,n9,n9) )).++fof(axN19_89,axiom,+ ( p(n1,n9,n8)+ => ~ p(n1,n9,n9) )).++fof(axN21_12,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n1,n2) )).++fof(axN21_13,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n1,n3) )).++fof(axN21_14,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n1,n4) )).++fof(axN21_15,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n1,n5) )).++fof(axN21_16,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n1,n6) )).++fof(axN21_17,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n1,n7) )).++fof(axN21_18,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n1,n8) )).++fof(axN21_19,axiom,+ ( p(n2,n1,n1)+ => ~ p(n2,n1,n9) )).++fof(axN21_23,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n1,n3) )).++fof(axN21_24,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n1,n4) )).++fof(axN21_25,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n1,n5) )).++fof(axN21_26,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n1,n6) )).++fof(axN21_27,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n1,n7) )).++fof(axN21_28,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n1,n8) )).++fof(axN21_29,axiom,+ ( p(n2,n1,n2)+ => ~ p(n2,n1,n9) )).++fof(axN21_34,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n1,n4) )).++fof(axN21_35,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n1,n5) )).++fof(axN21_36,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n1,n6) )).++fof(axN21_37,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n1,n7) )).++fof(axN21_38,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n1,n8) )).++fof(axN21_39,axiom,+ ( p(n2,n1,n3)+ => ~ p(n2,n1,n9) )).++fof(axN21_45,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n1,n5) )).++fof(axN21_46,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n1,n6) )).++fof(axN21_47,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n1,n7) )).++fof(axN21_48,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n1,n8) )).++fof(axN21_49,axiom,+ ( p(n2,n1,n4)+ => ~ p(n2,n1,n9) )).++fof(axN21_56,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n1,n6) )).++fof(axN21_57,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n1,n7) )).++fof(axN21_58,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n1,n8) )).++fof(axN21_59,axiom,+ ( p(n2,n1,n5)+ => ~ p(n2,n1,n9) )).++fof(axN21_67,axiom,+ ( p(n2,n1,n6)+ => ~ p(n2,n1,n7) )).++fof(axN21_68,axiom,+ ( p(n2,n1,n6)+ => ~ p(n2,n1,n8) )).++fof(axN21_69,axiom,+ ( p(n2,n1,n6)+ => ~ p(n2,n1,n9) )).++fof(axN21_78,axiom,+ ( p(n2,n1,n7)+ => ~ p(n2,n1,n8) )).++fof(axN21_79,axiom,+ ( p(n2,n1,n7)+ => ~ p(n2,n1,n9) )).++fof(axN21_89,axiom,+ ( p(n2,n1,n8)+ => ~ p(n2,n1,n9) )).++fof(axN22_12,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n2,n2) )).++fof(axN22_13,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n2,n3) )).++fof(axN22_14,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n2,n4) )).++fof(axN22_15,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n2,n5) )).++fof(axN22_16,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n2,n6) )).++fof(axN22_17,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n2,n7) )).++fof(axN22_18,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n2,n8) )).++fof(axN22_19,axiom,+ ( p(n2,n2,n1)+ => ~ p(n2,n2,n9) )).++fof(axN22_23,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n2,n3) )).++fof(axN22_24,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n2,n4) )).++fof(axN22_25,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n2,n5) )).++fof(axN22_26,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n2,n6) )).++fof(axN22_27,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n2,n7) )).++fof(axN22_28,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n2,n8) )).++fof(axN22_29,axiom,+ ( p(n2,n2,n2)+ => ~ p(n2,n2,n9) )).++fof(axN22_34,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n2,n4) )).++fof(axN22_35,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n2,n5) )).++fof(axN22_36,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n2,n6) )).++fof(axN22_37,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n2,n7) )).++fof(axN22_38,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n2,n8) )).++fof(axN22_39,axiom,+ ( p(n2,n2,n3)+ => ~ p(n2,n2,n9) )).++fof(axN22_45,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n2,n5) )).++fof(axN22_46,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n2,n6) )).++fof(axN22_47,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n2,n7) )).++fof(axN22_48,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n2,n8) )).++fof(axN22_49,axiom,+ ( p(n2,n2,n4)+ => ~ p(n2,n2,n9) )).++fof(axN22_56,axiom,+ ( p(n2,n2,n5)+ => ~ p(n2,n2,n6) )).++fof(axN22_57,axiom,+ ( p(n2,n2,n5)+ => ~ p(n2,n2,n7) )).++fof(axN22_58,axiom,+ ( p(n2,n2,n5)+ => ~ p(n2,n2,n8) )).++fof(axN22_59,axiom,+ ( p(n2,n2,n5)+ => ~ p(n2,n2,n9) )).++fof(axN22_67,axiom,+ ( p(n2,n2,n6)+ => ~ p(n2,n2,n7) )).++fof(axN22_68,axiom,+ ( p(n2,n2,n6)+ => ~ p(n2,n2,n8) )).++fof(axN22_69,axiom,+ ( p(n2,n2,n6)+ => ~ p(n2,n2,n9) )).++fof(axN22_78,axiom,+ ( p(n2,n2,n7)+ => ~ p(n2,n2,n8) )).++fof(axN22_79,axiom,+ ( p(n2,n2,n7)+ => ~ p(n2,n2,n9) )).++fof(axN22_89,axiom,+ ( p(n2,n2,n8)+ => ~ p(n2,n2,n9) )).++fof(axN23_12,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n3,n2) )).++fof(axN23_13,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n3,n3) )).++fof(axN23_14,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n3,n4) )).++fof(axN23_15,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n3,n5) )).++fof(axN23_16,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n3,n6) )).++fof(axN23_17,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n3,n7) )).++fof(axN23_18,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n3,n8) )).++fof(axN23_19,axiom,+ ( p(n2,n3,n1)+ => ~ p(n2,n3,n9) )).++fof(axN23_23,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n3,n3) )).++fof(axN23_24,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n3,n4) )).++fof(axN23_25,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n3,n5) )).++fof(axN23_26,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n3,n6) )).++fof(axN23_27,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n3,n7) )).++fof(axN23_28,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n3,n8) )).++fof(axN23_29,axiom,+ ( p(n2,n3,n2)+ => ~ p(n2,n3,n9) )).++fof(axN23_34,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n3,n4) )).++fof(axN23_35,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n3,n5) )).++fof(axN23_36,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n3,n6) )).++fof(axN23_37,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n3,n7) )).++fof(axN23_38,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n3,n8) )).++fof(axN23_39,axiom,+ ( p(n2,n3,n3)+ => ~ p(n2,n3,n9) )).++fof(axN23_45,axiom,+ ( p(n2,n3,n4)+ => ~ p(n2,n3,n5) )).++fof(axN23_46,axiom,+ ( p(n2,n3,n4)+ => ~ p(n2,n3,n6) )).++fof(axN23_47,axiom,+ ( p(n2,n3,n4)+ => ~ p(n2,n3,n7) )).++fof(axN23_48,axiom,+ ( p(n2,n3,n4)+ => ~ p(n2,n3,n8) )).++fof(axN23_49,axiom,+ ( p(n2,n3,n4)+ => ~ p(n2,n3,n9) )).++fof(axN23_56,axiom,+ ( p(n2,n3,n5)+ => ~ p(n2,n3,n6) )).++fof(axN23_57,axiom,+ ( p(n2,n3,n5)+ => ~ p(n2,n3,n7) )).++fof(axN23_58,axiom,+ ( p(n2,n3,n5)+ => ~ p(n2,n3,n8) )).++fof(axN23_59,axiom,+ ( p(n2,n3,n5)+ => ~ p(n2,n3,n9) )).++fof(axN23_67,axiom,+ ( p(n2,n3,n6)+ => ~ p(n2,n3,n7) )).++fof(axN23_68,axiom,+ ( p(n2,n3,n6)+ => ~ p(n2,n3,n8) )).++fof(axN23_69,axiom,+ ( p(n2,n3,n6)+ => ~ p(n2,n3,n9) )).++fof(axN23_78,axiom,+ ( p(n2,n3,n7)+ => ~ p(n2,n3,n8) )).++fof(axN23_79,axiom,+ ( p(n2,n3,n7)+ => ~ p(n2,n3,n9) )).++fof(axN23_89,axiom,+ ( p(n2,n3,n8)+ => ~ p(n2,n3,n9) )).++fof(axN24_12,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n4,n2) )).++fof(axN24_13,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n4,n3) )).++fof(axN24_14,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n4,n4) )).++fof(axN24_15,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n4,n5) )).++fof(axN24_16,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n4,n6) )).++fof(axN24_17,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n4,n7) )).++fof(axN24_18,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n4,n8) )).++fof(axN24_19,axiom,+ ( p(n2,n4,n1)+ => ~ p(n2,n4,n9) )).++fof(axN24_23,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n4,n3) )).++fof(axN24_24,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n4,n4) )).++fof(axN24_25,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n4,n5) )).++fof(axN24_26,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n4,n6) )).++fof(axN24_27,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n4,n7) )).++fof(axN24_28,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n4,n8) )).++fof(axN24_29,axiom,+ ( p(n2,n4,n2)+ => ~ p(n2,n4,n9) )).++fof(axN24_34,axiom,+ ( p(n2,n4,n3)+ => ~ p(n2,n4,n4) )).++fof(axN24_35,axiom,+ ( p(n2,n4,n3)+ => ~ p(n2,n4,n5) )).++fof(axN24_36,axiom,+ ( p(n2,n4,n3)+ => ~ p(n2,n4,n6) )).++fof(axN24_37,axiom,+ ( p(n2,n4,n3)+ => ~ p(n2,n4,n7) )).++fof(axN24_38,axiom,+ ( p(n2,n4,n3)+ => ~ p(n2,n4,n8) )).++fof(axN24_39,axiom,+ ( p(n2,n4,n3)+ => ~ p(n2,n4,n9) )).++fof(axN24_45,axiom,+ ( p(n2,n4,n4)+ => ~ p(n2,n4,n5) )).++fof(axN24_46,axiom,+ ( p(n2,n4,n4)+ => ~ p(n2,n4,n6) )).++fof(axN24_47,axiom,+ ( p(n2,n4,n4)+ => ~ p(n2,n4,n7) )).++fof(axN24_48,axiom,+ ( p(n2,n4,n4)+ => ~ p(n2,n4,n8) )).++fof(axN24_49,axiom,+ ( p(n2,n4,n4)+ => ~ p(n2,n4,n9) )).++fof(axN24_56,axiom,+ ( p(n2,n4,n5)+ => ~ p(n2,n4,n6) )).++fof(axN24_57,axiom,+ ( p(n2,n4,n5)+ => ~ p(n2,n4,n7) )).++fof(axN24_58,axiom,+ ( p(n2,n4,n5)+ => ~ p(n2,n4,n8) )).++fof(axN24_59,axiom,+ ( p(n2,n4,n5)+ => ~ p(n2,n4,n9) )).++fof(axN24_67,axiom,+ ( p(n2,n4,n6)+ => ~ p(n2,n4,n7) )).++fof(axN24_68,axiom,+ ( p(n2,n4,n6)+ => ~ p(n2,n4,n8) )).++fof(axN24_69,axiom,+ ( p(n2,n4,n6)+ => ~ p(n2,n4,n9) )).++fof(axN24_78,axiom,+ ( p(n2,n4,n7)+ => ~ p(n2,n4,n8) )).++fof(axN24_79,axiom,+ ( p(n2,n4,n7)+ => ~ p(n2,n4,n9) )).++fof(axN24_89,axiom,+ ( p(n2,n4,n8)+ => ~ p(n2,n4,n9) )).++fof(axN25_12,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n5,n2) )).++fof(axN25_13,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n5,n3) )).++fof(axN25_14,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n5,n4) )).++fof(axN25_15,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n5,n5) )).++fof(axN25_16,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n5,n6) )).++fof(axN25_17,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n5,n7) )).++fof(axN25_18,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n5,n8) )).++fof(axN25_19,axiom,+ ( p(n2,n5,n1)+ => ~ p(n2,n5,n9) )).++fof(axN25_23,axiom,+ ( p(n2,n5,n2)+ => ~ p(n2,n5,n3) )).++fof(axN25_24,axiom,+ ( p(n2,n5,n2)+ => ~ p(n2,n5,n4) )).++fof(axN25_25,axiom,+ ( p(n2,n5,n2)+ => ~ p(n2,n5,n5) )).++fof(axN25_26,axiom,+ ( p(n2,n5,n2)+ => ~ p(n2,n5,n6) )).++fof(axN25_27,axiom,+ ( p(n2,n5,n2)+ => ~ p(n2,n5,n7) )).++fof(axN25_28,axiom,+ ( p(n2,n5,n2)+ => ~ p(n2,n5,n8) )).++fof(axN25_29,axiom,+ ( p(n2,n5,n2)+ => ~ p(n2,n5,n9) )).++fof(axN25_34,axiom,+ ( p(n2,n5,n3)+ => ~ p(n2,n5,n4) )).++fof(axN25_35,axiom,+ ( p(n2,n5,n3)+ => ~ p(n2,n5,n5) )).++fof(axN25_36,axiom,+ ( p(n2,n5,n3)+ => ~ p(n2,n5,n6) )).++fof(axN25_37,axiom,+ ( p(n2,n5,n3)+ => ~ p(n2,n5,n7) )).++fof(axN25_38,axiom,+ ( p(n2,n5,n3)+ => ~ p(n2,n5,n8) )).++fof(axN25_39,axiom,+ ( p(n2,n5,n3)+ => ~ p(n2,n5,n9) )).++fof(axN25_45,axiom,+ ( p(n2,n5,n4)+ => ~ p(n2,n5,n5) )).++fof(axN25_46,axiom,+ ( p(n2,n5,n4)+ => ~ p(n2,n5,n6) )).++fof(axN25_47,axiom,+ ( p(n2,n5,n4)+ => ~ p(n2,n5,n7) )).++fof(axN25_48,axiom,+ ( p(n2,n5,n4)+ => ~ p(n2,n5,n8) )).++fof(axN25_49,axiom,+ ( p(n2,n5,n4)+ => ~ p(n2,n5,n9) )).++fof(axN25_56,axiom,+ ( p(n2,n5,n5)+ => ~ p(n2,n5,n6) )).++fof(axN25_57,axiom,+ ( p(n2,n5,n5)+ => ~ p(n2,n5,n7) )).++fof(axN25_58,axiom,+ ( p(n2,n5,n5)+ => ~ p(n2,n5,n8) )).++fof(axN25_59,axiom,+ ( p(n2,n5,n5)+ => ~ p(n2,n5,n9) )).++fof(axN25_67,axiom,+ ( p(n2,n5,n6)+ => ~ p(n2,n5,n7) )).++fof(axN25_68,axiom,+ ( p(n2,n5,n6)+ => ~ p(n2,n5,n8) )).++fof(axN25_69,axiom,+ ( p(n2,n5,n6)+ => ~ p(n2,n5,n9) )).++fof(axN25_78,axiom,+ ( p(n2,n5,n7)+ => ~ p(n2,n5,n8) )).++fof(axN25_79,axiom,+ ( p(n2,n5,n7)+ => ~ p(n2,n5,n9) )).++fof(axN25_89,axiom,+ ( p(n2,n5,n8)+ => ~ p(n2,n5,n9) )).++fof(axN26_12,axiom,+ ( p(n2,n6,n1)+ => ~ p(n2,n6,n2) )).++fof(axN26_13,axiom,+ ( p(n2,n6,n1)+ => ~ p(n2,n6,n3) )).++fof(axN26_14,axiom,+ ( p(n2,n6,n1)+ => ~ p(n2,n6,n4) )).++fof(axN26_15,axiom,+ ( p(n2,n6,n1)+ => ~ p(n2,n6,n5) )).++fof(axN26_16,axiom,+ ( p(n2,n6,n1)+ => ~ p(n2,n6,n6) )).++fof(axN26_17,axiom,+ ( p(n2,n6,n1)+ => ~ p(n2,n6,n7) )).++fof(axN26_18,axiom,+ ( p(n2,n6,n1)+ => ~ p(n2,n6,n8) )).++fof(axN26_19,axiom,+ ( p(n2,n6,n1)+ => ~ p(n2,n6,n9) )).++fof(axN26_23,axiom,+ ( p(n2,n6,n2)+ => ~ p(n2,n6,n3) )).++fof(axN26_24,axiom,+ ( p(n2,n6,n2)+ => ~ p(n2,n6,n4) )).++fof(axN26_25,axiom,+ ( p(n2,n6,n2)+ => ~ p(n2,n6,n5) )).++fof(axN26_26,axiom,+ ( p(n2,n6,n2)+ => ~ p(n2,n6,n6) )).++fof(axN26_27,axiom,+ ( p(n2,n6,n2)+ => ~ p(n2,n6,n7) )).++fof(axN26_28,axiom,+ ( p(n2,n6,n2)+ => ~ p(n2,n6,n8) )).++fof(axN26_29,axiom,+ ( p(n2,n6,n2)+ => ~ p(n2,n6,n9) )).++fof(axN26_34,axiom,+ ( p(n2,n6,n3)+ => ~ p(n2,n6,n4) )).++fof(axN26_35,axiom,+ ( p(n2,n6,n3)+ => ~ p(n2,n6,n5) )).++fof(axN26_36,axiom,+ ( p(n2,n6,n3)+ => ~ p(n2,n6,n6) )).++fof(axN26_37,axiom,+ ( p(n2,n6,n3)+ => ~ p(n2,n6,n7) )).++fof(axN26_38,axiom,+ ( p(n2,n6,n3)+ => ~ p(n2,n6,n8) )).++fof(axN26_39,axiom,+ ( p(n2,n6,n3)+ => ~ p(n2,n6,n9) )).++fof(axN26_45,axiom,+ ( p(n2,n6,n4)+ => ~ p(n2,n6,n5) )).++fof(axN26_46,axiom,+ ( p(n2,n6,n4)+ => ~ p(n2,n6,n6) )).++fof(axN26_47,axiom,+ ( p(n2,n6,n4)+ => ~ p(n2,n6,n7) )).++fof(axN26_48,axiom,+ ( p(n2,n6,n4)+ => ~ p(n2,n6,n8) )).++fof(axN26_49,axiom,+ ( p(n2,n6,n4)+ => ~ p(n2,n6,n9) )).++fof(axN26_56,axiom,+ ( p(n2,n6,n5)+ => ~ p(n2,n6,n6) )).++fof(axN26_57,axiom,+ ( p(n2,n6,n5)+ => ~ p(n2,n6,n7) )).++fof(axN26_58,axiom,+ ( p(n2,n6,n5)+ => ~ p(n2,n6,n8) )).++fof(axN26_59,axiom,+ ( p(n2,n6,n5)+ => ~ p(n2,n6,n9) )).++fof(axN26_67,axiom,+ ( p(n2,n6,n6)+ => ~ p(n2,n6,n7) )).++fof(axN26_68,axiom,+ ( p(n2,n6,n6)+ => ~ p(n2,n6,n8) )).++fof(axN26_69,axiom,+ ( p(n2,n6,n6)+ => ~ p(n2,n6,n9) )).++fof(axN26_78,axiom,+ ( p(n2,n6,n7)+ => ~ p(n2,n6,n8) )).++fof(axN26_79,axiom,+ ( p(n2,n6,n7)+ => ~ p(n2,n6,n9) )).++fof(axN26_89,axiom,+ ( p(n2,n6,n8)+ => ~ p(n2,n6,n9) )).++fof(axN27_12,axiom,+ ( p(n2,n7,n1)+ => ~ p(n2,n7,n2) )).++fof(axN27_13,axiom,+ ( p(n2,n7,n1)+ => ~ p(n2,n7,n3) )).++fof(axN27_14,axiom,+ ( p(n2,n7,n1)+ => ~ p(n2,n7,n4) )).++fof(axN27_15,axiom,+ ( p(n2,n7,n1)+ => ~ p(n2,n7,n5) )).++fof(axN27_16,axiom,+ ( p(n2,n7,n1)+ => ~ p(n2,n7,n6) )).++fof(axN27_17,axiom,+ ( p(n2,n7,n1)+ => ~ p(n2,n7,n7) )).++fof(axN27_18,axiom,+ ( p(n2,n7,n1)+ => ~ p(n2,n7,n8) )).++fof(axN27_19,axiom,+ ( p(n2,n7,n1)+ => ~ p(n2,n7,n9) )).++fof(axN27_23,axiom,+ ( p(n2,n7,n2)+ => ~ p(n2,n7,n3) )).++fof(axN27_24,axiom,+ ( p(n2,n7,n2)+ => ~ p(n2,n7,n4) )).++fof(axN27_25,axiom,+ ( p(n2,n7,n2)+ => ~ p(n2,n7,n5) )).++fof(axN27_26,axiom,+ ( p(n2,n7,n2)+ => ~ p(n2,n7,n6) )).++fof(axN27_27,axiom,+ ( p(n2,n7,n2)+ => ~ p(n2,n7,n7) )).++fof(axN27_28,axiom,+ ( p(n2,n7,n2)+ => ~ p(n2,n7,n8) )).++fof(axN27_29,axiom,+ ( p(n2,n7,n2)+ => ~ p(n2,n7,n9) )).++fof(axN27_34,axiom,+ ( p(n2,n7,n3)+ => ~ p(n2,n7,n4) )).++fof(axN27_35,axiom,+ ( p(n2,n7,n3)+ => ~ p(n2,n7,n5) )).++fof(axN27_36,axiom,+ ( p(n2,n7,n3)+ => ~ p(n2,n7,n6) )).++fof(axN27_37,axiom,+ ( p(n2,n7,n3)+ => ~ p(n2,n7,n7) )).++fof(axN27_38,axiom,+ ( p(n2,n7,n3)+ => ~ p(n2,n7,n8) )).++fof(axN27_39,axiom,+ ( p(n2,n7,n3)+ => ~ p(n2,n7,n9) )).++fof(axN27_45,axiom,+ ( p(n2,n7,n4)+ => ~ p(n2,n7,n5) )).++fof(axN27_46,axiom,+ ( p(n2,n7,n4)+ => ~ p(n2,n7,n6) )).++fof(axN27_47,axiom,+ ( p(n2,n7,n4)+ => ~ p(n2,n7,n7) )).++fof(axN27_48,axiom,+ ( p(n2,n7,n4)+ => ~ p(n2,n7,n8) )).++fof(axN27_49,axiom,+ ( p(n2,n7,n4)+ => ~ p(n2,n7,n9) )).++fof(axN27_56,axiom,+ ( p(n2,n7,n5)+ => ~ p(n2,n7,n6) )).++fof(axN27_57,axiom,+ ( p(n2,n7,n5)+ => ~ p(n2,n7,n7) )).++fof(axN27_58,axiom,+ ( p(n2,n7,n5)+ => ~ p(n2,n7,n8) )).++fof(axN27_59,axiom,+ ( p(n2,n7,n5)+ => ~ p(n2,n7,n9) )).++fof(axN27_67,axiom,+ ( p(n2,n7,n6)+ => ~ p(n2,n7,n7) )).++fof(axN27_68,axiom,+ ( p(n2,n7,n6)+ => ~ p(n2,n7,n8) )).++fof(axN27_69,axiom,+ ( p(n2,n7,n6)+ => ~ p(n2,n7,n9) )).++fof(axN27_78,axiom,+ ( p(n2,n7,n7)+ => ~ p(n2,n7,n8) )).++fof(axN27_79,axiom,+ ( p(n2,n7,n7)+ => ~ p(n2,n7,n9) )).++fof(axN27_89,axiom,+ ( p(n2,n7,n8)+ => ~ p(n2,n7,n9) )).++fof(axN28_12,axiom,+ ( p(n2,n8,n1)+ => ~ p(n2,n8,n2) )).++fof(axN28_13,axiom,+ ( p(n2,n8,n1)+ => ~ p(n2,n8,n3) )).++fof(axN28_14,axiom,+ ( p(n2,n8,n1)+ => ~ p(n2,n8,n4) )).++fof(axN28_15,axiom,+ ( p(n2,n8,n1)+ => ~ p(n2,n8,n5) )).++fof(axN28_16,axiom,+ ( p(n2,n8,n1)+ => ~ p(n2,n8,n6) )).++fof(axN28_17,axiom,+ ( p(n2,n8,n1)+ => ~ p(n2,n8,n7) )).++fof(axN28_18,axiom,+ ( p(n2,n8,n1)+ => ~ p(n2,n8,n8) )).++fof(axN28_19,axiom,+ ( p(n2,n8,n1)+ => ~ p(n2,n8,n9) )).++fof(axN28_23,axiom,+ ( p(n2,n8,n2)+ => ~ p(n2,n8,n3) )).++fof(axN28_24,axiom,+ ( p(n2,n8,n2)+ => ~ p(n2,n8,n4) )).++fof(axN28_25,axiom,+ ( p(n2,n8,n2)+ => ~ p(n2,n8,n5) )).++fof(axN28_26,axiom,+ ( p(n2,n8,n2)+ => ~ p(n2,n8,n6) )).++fof(axN28_27,axiom,+ ( p(n2,n8,n2)+ => ~ p(n2,n8,n7) )).++fof(axN28_28,axiom,+ ( p(n2,n8,n2)+ => ~ p(n2,n8,n8) )).++fof(axN28_29,axiom,+ ( p(n2,n8,n2)+ => ~ p(n2,n8,n9) )).++fof(axN28_34,axiom,+ ( p(n2,n8,n3)+ => ~ p(n2,n8,n4) )).++fof(axN28_35,axiom,+ ( p(n2,n8,n3)+ => ~ p(n2,n8,n5) )).++fof(axN28_36,axiom,+ ( p(n2,n8,n3)+ => ~ p(n2,n8,n6) )).++fof(axN28_37,axiom,+ ( p(n2,n8,n3)+ => ~ p(n2,n8,n7) )).++fof(axN28_38,axiom,+ ( p(n2,n8,n3)+ => ~ p(n2,n8,n8) )).++fof(axN28_39,axiom,+ ( p(n2,n8,n3)+ => ~ p(n2,n8,n9) )).++fof(axN28_45,axiom,+ ( p(n2,n8,n4)+ => ~ p(n2,n8,n5) )).++fof(axN28_46,axiom,+ ( p(n2,n8,n4)+ => ~ p(n2,n8,n6) )).++fof(axN28_47,axiom,+ ( p(n2,n8,n4)+ => ~ p(n2,n8,n7) )).++fof(axN28_48,axiom,+ ( p(n2,n8,n4)+ => ~ p(n2,n8,n8) )).++fof(axN28_49,axiom,+ ( p(n2,n8,n4)+ => ~ p(n2,n8,n9) )).++fof(axN28_56,axiom,+ ( p(n2,n8,n5)+ => ~ p(n2,n8,n6) )).++fof(axN28_57,axiom,+ ( p(n2,n8,n5)+ => ~ p(n2,n8,n7) )).++fof(axN28_58,axiom,+ ( p(n2,n8,n5)+ => ~ p(n2,n8,n8) )).++fof(axN28_59,axiom,+ ( p(n2,n8,n5)+ => ~ p(n2,n8,n9) )).++fof(axN28_67,axiom,+ ( p(n2,n8,n6)+ => ~ p(n2,n8,n7) )).++fof(axN28_68,axiom,+ ( p(n2,n8,n6)+ => ~ p(n2,n8,n8) )).++fof(axN28_69,axiom,+ ( p(n2,n8,n6)+ => ~ p(n2,n8,n9) )).++fof(axN28_78,axiom,+ ( p(n2,n8,n7)+ => ~ p(n2,n8,n8) )).++fof(axN28_79,axiom,+ ( p(n2,n8,n7)+ => ~ p(n2,n8,n9) )).++fof(axN28_89,axiom,+ ( p(n2,n8,n8)+ => ~ p(n2,n8,n9) )).++fof(axN29_12,axiom,+ ( p(n2,n9,n1)+ => ~ p(n2,n9,n2) )).++fof(axN29_13,axiom,+ ( p(n2,n9,n1)+ => ~ p(n2,n9,n3) )).++fof(axN29_14,axiom,+ ( p(n2,n9,n1)+ => ~ p(n2,n9,n4) )).++fof(axN29_15,axiom,+ ( p(n2,n9,n1)+ => ~ p(n2,n9,n5) )).++fof(axN29_16,axiom,+ ( p(n2,n9,n1)+ => ~ p(n2,n9,n6) )).++fof(axN29_17,axiom,+ ( p(n2,n9,n1)+ => ~ p(n2,n9,n7) )).++fof(axN29_18,axiom,+ ( p(n2,n9,n1)+ => ~ p(n2,n9,n8) )).++fof(axN29_19,axiom,+ ( p(n2,n9,n1)+ => ~ p(n2,n9,n9) )).++fof(axN29_23,axiom,+ ( p(n2,n9,n2)+ => ~ p(n2,n9,n3) )).++fof(axN29_24,axiom,+ ( p(n2,n9,n2)+ => ~ p(n2,n9,n4) )).++fof(axN29_25,axiom,+ ( p(n2,n9,n2)+ => ~ p(n2,n9,n5) )).++fof(axN29_26,axiom,+ ( p(n2,n9,n2)+ => ~ p(n2,n9,n6) )).++fof(axN29_27,axiom,+ ( p(n2,n9,n2)+ => ~ p(n2,n9,n7) )).++fof(axN29_28,axiom,+ ( p(n2,n9,n2)+ => ~ p(n2,n9,n8) )).++fof(axN29_29,axiom,+ ( p(n2,n9,n2)+ => ~ p(n2,n9,n9) )).++fof(axN29_34,axiom,+ ( p(n2,n9,n3)+ => ~ p(n2,n9,n4) )).++fof(axN29_35,axiom,+ ( p(n2,n9,n3)+ => ~ p(n2,n9,n5) )).++fof(axN29_36,axiom,+ ( p(n2,n9,n3)+ => ~ p(n2,n9,n6) )).++fof(axN29_37,axiom,+ ( p(n2,n9,n3)+ => ~ p(n2,n9,n7) )).++fof(axN29_38,axiom,+ ( p(n2,n9,n3)+ => ~ p(n2,n9,n8) )).++fof(axN29_39,axiom,+ ( p(n2,n9,n3)+ => ~ p(n2,n9,n9) )).++fof(axN29_45,axiom,+ ( p(n2,n9,n4)+ => ~ p(n2,n9,n5) )).++fof(axN29_46,axiom,+ ( p(n2,n9,n4)+ => ~ p(n2,n9,n6) )).++fof(axN29_47,axiom,+ ( p(n2,n9,n4)+ => ~ p(n2,n9,n7) )).++fof(axN29_48,axiom,+ ( p(n2,n9,n4)+ => ~ p(n2,n9,n8) )).++fof(axN29_49,axiom,+ ( p(n2,n9,n4)+ => ~ p(n2,n9,n9) )).++fof(axN29_56,axiom,+ ( p(n2,n9,n5)+ => ~ p(n2,n9,n6) )).++fof(axN29_57,axiom,+ ( p(n2,n9,n5)+ => ~ p(n2,n9,n7) )).++fof(axN29_58,axiom,+ ( p(n2,n9,n5)+ => ~ p(n2,n9,n8) )).++fof(axN29_59,axiom,+ ( p(n2,n9,n5)+ => ~ p(n2,n9,n9) )).++fof(axN29_67,axiom,+ ( p(n2,n9,n6)+ => ~ p(n2,n9,n7) )).++fof(axN29_68,axiom,+ ( p(n2,n9,n6)+ => ~ p(n2,n9,n8) )).++fof(axN29_69,axiom,+ ( p(n2,n9,n6)+ => ~ p(n2,n9,n9) )).++fof(axN29_78,axiom,+ ( p(n2,n9,n7)+ => ~ p(n2,n9,n8) )).++fof(axN29_79,axiom,+ ( p(n2,n9,n7)+ => ~ p(n2,n9,n9) )).++fof(axN29_89,axiom,+ ( p(n2,n9,n8)+ => ~ p(n2,n9,n9) )).++fof(axN31_12,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n1,n2) )).++fof(axN31_13,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n1,n3) )).++fof(axN31_14,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n1,n4) )).++fof(axN31_15,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n1,n5) )).++fof(axN31_16,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n1,n6) )).++fof(axN31_17,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n1,n7) )).++fof(axN31_18,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n1,n8) )).++fof(axN31_19,axiom,+ ( p(n3,n1,n1)+ => ~ p(n3,n1,n9) )).++fof(axN31_23,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n1,n3) )).++fof(axN31_24,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n1,n4) )).++fof(axN31_25,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n1,n5) )).++fof(axN31_26,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n1,n6) )).++fof(axN31_27,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n1,n7) )).++fof(axN31_28,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n1,n8) )).++fof(axN31_29,axiom,+ ( p(n3,n1,n2)+ => ~ p(n3,n1,n9) )).++fof(axN31_34,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n1,n4) )).++fof(axN31_35,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n1,n5) )).++fof(axN31_36,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n1,n6) )).++fof(axN31_37,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n1,n7) )).++fof(axN31_38,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n1,n8) )).++fof(axN31_39,axiom,+ ( p(n3,n1,n3)+ => ~ p(n3,n1,n9) )).++fof(axN31_45,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n1,n5) )).++fof(axN31_46,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n1,n6) )).++fof(axN31_47,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n1,n7) )).++fof(axN31_48,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n1,n8) )).++fof(axN31_49,axiom,+ ( p(n3,n1,n4)+ => ~ p(n3,n1,n9) )).++fof(axN31_56,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n1,n6) )).++fof(axN31_57,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n1,n7) )).++fof(axN31_58,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n1,n8) )).++fof(axN31_59,axiom,+ ( p(n3,n1,n5)+ => ~ p(n3,n1,n9) )).++fof(axN31_67,axiom,+ ( p(n3,n1,n6)+ => ~ p(n3,n1,n7) )).++fof(axN31_68,axiom,+ ( p(n3,n1,n6)+ => ~ p(n3,n1,n8) )).++fof(axN31_69,axiom,+ ( p(n3,n1,n6)+ => ~ p(n3,n1,n9) )).++fof(axN31_78,axiom,+ ( p(n3,n1,n7)+ => ~ p(n3,n1,n8) )).++fof(axN31_79,axiom,+ ( p(n3,n1,n7)+ => ~ p(n3,n1,n9) )).++fof(axN31_89,axiom,+ ( p(n3,n1,n8)+ => ~ p(n3,n1,n9) )).++fof(axN32_12,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n2,n2) )).++fof(axN32_13,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n2,n3) )).++fof(axN32_14,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n2,n4) )).++fof(axN32_15,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n2,n5) )).++fof(axN32_16,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n2,n6) )).++fof(axN32_17,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n2,n7) )).++fof(axN32_18,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n2,n8) )).++fof(axN32_19,axiom,+ ( p(n3,n2,n1)+ => ~ p(n3,n2,n9) )).++fof(axN32_23,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n2,n3) )).++fof(axN32_24,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n2,n4) )).++fof(axN32_25,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n2,n5) )).++fof(axN32_26,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n2,n6) )).++fof(axN32_27,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n2,n7) )).++fof(axN32_28,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n2,n8) )).++fof(axN32_29,axiom,+ ( p(n3,n2,n2)+ => ~ p(n3,n2,n9) )).++fof(axN32_34,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n2,n4) )).++fof(axN32_35,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n2,n5) )).++fof(axN32_36,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n2,n6) )).++fof(axN32_37,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n2,n7) )).++fof(axN32_38,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n2,n8) )).++fof(axN32_39,axiom,+ ( p(n3,n2,n3)+ => ~ p(n3,n2,n9) )).++fof(axN32_45,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n2,n5) )).++fof(axN32_46,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n2,n6) )).++fof(axN32_47,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n2,n7) )).++fof(axN32_48,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n2,n8) )).++fof(axN32_49,axiom,+ ( p(n3,n2,n4)+ => ~ p(n3,n2,n9) )).++fof(axN32_56,axiom,+ ( p(n3,n2,n5)+ => ~ p(n3,n2,n6) )).++fof(axN32_57,axiom,+ ( p(n3,n2,n5)+ => ~ p(n3,n2,n7) )).++fof(axN32_58,axiom,+ ( p(n3,n2,n5)+ => ~ p(n3,n2,n8) )).++fof(axN32_59,axiom,+ ( p(n3,n2,n5)+ => ~ p(n3,n2,n9) )).++fof(axN32_67,axiom,+ ( p(n3,n2,n6)+ => ~ p(n3,n2,n7) )).++fof(axN32_68,axiom,+ ( p(n3,n2,n6)+ => ~ p(n3,n2,n8) )).++fof(axN32_69,axiom,+ ( p(n3,n2,n6)+ => ~ p(n3,n2,n9) )).++fof(axN32_78,axiom,+ ( p(n3,n2,n7)+ => ~ p(n3,n2,n8) )).++fof(axN32_79,axiom,+ ( p(n3,n2,n7)+ => ~ p(n3,n2,n9) )).++fof(axN32_89,axiom,+ ( p(n3,n2,n8)+ => ~ p(n3,n2,n9) )).++fof(axN33_12,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n3,n2) )).++fof(axN33_13,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n3,n3) )).++fof(axN33_14,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n3,n4) )).++fof(axN33_15,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n3,n5) )).++fof(axN33_16,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n3,n6) )).++fof(axN33_17,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n3,n7) )).++fof(axN33_18,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n3,n8) )).++fof(axN33_19,axiom,+ ( p(n3,n3,n1)+ => ~ p(n3,n3,n9) )).++fof(axN33_23,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n3,n3) )).++fof(axN33_24,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n3,n4) )).++fof(axN33_25,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n3,n5) )).++fof(axN33_26,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n3,n6) )).++fof(axN33_27,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n3,n7) )).++fof(axN33_28,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n3,n8) )).++fof(axN33_29,axiom,+ ( p(n3,n3,n2)+ => ~ p(n3,n3,n9) )).++fof(axN33_34,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n3,n4) )).++fof(axN33_35,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n3,n5) )).++fof(axN33_36,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n3,n6) )).++fof(axN33_37,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n3,n7) )).++fof(axN33_38,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n3,n8) )).++fof(axN33_39,axiom,+ ( p(n3,n3,n3)+ => ~ p(n3,n3,n9) )).++fof(axN33_45,axiom,+ ( p(n3,n3,n4)+ => ~ p(n3,n3,n5) )).++fof(axN33_46,axiom,+ ( p(n3,n3,n4)+ => ~ p(n3,n3,n6) )).++fof(axN33_47,axiom,+ ( p(n3,n3,n4)+ => ~ p(n3,n3,n7) )).++fof(axN33_48,axiom,+ ( p(n3,n3,n4)+ => ~ p(n3,n3,n8) )).++fof(axN33_49,axiom,+ ( p(n3,n3,n4)+ => ~ p(n3,n3,n9) )).++fof(axN33_56,axiom,+ ( p(n3,n3,n5)+ => ~ p(n3,n3,n6) )).++fof(axN33_57,axiom,+ ( p(n3,n3,n5)+ => ~ p(n3,n3,n7) )).++fof(axN33_58,axiom,+ ( p(n3,n3,n5)+ => ~ p(n3,n3,n8) )).++fof(axN33_59,axiom,+ ( p(n3,n3,n5)+ => ~ p(n3,n3,n9) )).++fof(axN33_67,axiom,+ ( p(n3,n3,n6)+ => ~ p(n3,n3,n7) )).++fof(axN33_68,axiom,+ ( p(n3,n3,n6)+ => ~ p(n3,n3,n8) )).++fof(axN33_69,axiom,+ ( p(n3,n3,n6)+ => ~ p(n3,n3,n9) )).++fof(axN33_78,axiom,+ ( p(n3,n3,n7)+ => ~ p(n3,n3,n8) )).++fof(axN33_79,axiom,+ ( p(n3,n3,n7)+ => ~ p(n3,n3,n9) )).++fof(axN33_89,axiom,+ ( p(n3,n3,n8)+ => ~ p(n3,n3,n9) )).++fof(axN34_12,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n4,n2) )).++fof(axN34_13,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n4,n3) )).++fof(axN34_14,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n4,n4) )).++fof(axN34_15,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n4,n5) )).++fof(axN34_16,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n4,n6) )).++fof(axN34_17,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n4,n7) )).++fof(axN34_18,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n4,n8) )).++fof(axN34_19,axiom,+ ( p(n3,n4,n1)+ => ~ p(n3,n4,n9) )).++fof(axN34_23,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n4,n3) )).++fof(axN34_24,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n4,n4) )).++fof(axN34_25,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n4,n5) )).++fof(axN34_26,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n4,n6) )).++fof(axN34_27,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n4,n7) )).++fof(axN34_28,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n4,n8) )).++fof(axN34_29,axiom,+ ( p(n3,n4,n2)+ => ~ p(n3,n4,n9) )).++fof(axN34_34,axiom,+ ( p(n3,n4,n3)+ => ~ p(n3,n4,n4) )).++fof(axN34_35,axiom,+ ( p(n3,n4,n3)+ => ~ p(n3,n4,n5) )).++fof(axN34_36,axiom,+ ( p(n3,n4,n3)+ => ~ p(n3,n4,n6) )).++fof(axN34_37,axiom,+ ( p(n3,n4,n3)+ => ~ p(n3,n4,n7) )).++fof(axN34_38,axiom,+ ( p(n3,n4,n3)+ => ~ p(n3,n4,n8) )).++fof(axN34_39,axiom,+ ( p(n3,n4,n3)+ => ~ p(n3,n4,n9) )).++fof(axN34_45,axiom,+ ( p(n3,n4,n4)+ => ~ p(n3,n4,n5) )).++fof(axN34_46,axiom,+ ( p(n3,n4,n4)+ => ~ p(n3,n4,n6) )).++fof(axN34_47,axiom,+ ( p(n3,n4,n4)+ => ~ p(n3,n4,n7) )).++fof(axN34_48,axiom,+ ( p(n3,n4,n4)+ => ~ p(n3,n4,n8) )).++fof(axN34_49,axiom,+ ( p(n3,n4,n4)+ => ~ p(n3,n4,n9) )).++fof(axN34_56,axiom,+ ( p(n3,n4,n5)+ => ~ p(n3,n4,n6) )).++fof(axN34_57,axiom,+ ( p(n3,n4,n5)+ => ~ p(n3,n4,n7) )).++fof(axN34_58,axiom,+ ( p(n3,n4,n5)+ => ~ p(n3,n4,n8) )).++fof(axN34_59,axiom,+ ( p(n3,n4,n5)+ => ~ p(n3,n4,n9) )).++fof(axN34_67,axiom,+ ( p(n3,n4,n6)+ => ~ p(n3,n4,n7) )).++fof(axN34_68,axiom,+ ( p(n3,n4,n6)+ => ~ p(n3,n4,n8) )).++fof(axN34_69,axiom,+ ( p(n3,n4,n6)+ => ~ p(n3,n4,n9) )).++fof(axN34_78,axiom,+ ( p(n3,n4,n7)+ => ~ p(n3,n4,n8) )).++fof(axN34_79,axiom,+ ( p(n3,n4,n7)+ => ~ p(n3,n4,n9) )).++fof(axN34_89,axiom,+ ( p(n3,n4,n8)+ => ~ p(n3,n4,n9) )).++fof(axN35_12,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n5,n2) )).++fof(axN35_13,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n5,n3) )).++fof(axN35_14,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n5,n4) )).++fof(axN35_15,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n5,n5) )).++fof(axN35_16,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n5,n6) )).++fof(axN35_17,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n5,n7) )).++fof(axN35_18,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n5,n8) )).++fof(axN35_19,axiom,+ ( p(n3,n5,n1)+ => ~ p(n3,n5,n9) )).++fof(axN35_23,axiom,+ ( p(n3,n5,n2)+ => ~ p(n3,n5,n3) )).++fof(axN35_24,axiom,+ ( p(n3,n5,n2)+ => ~ p(n3,n5,n4) )).++fof(axN35_25,axiom,+ ( p(n3,n5,n2)+ => ~ p(n3,n5,n5) )).++fof(axN35_26,axiom,+ ( p(n3,n5,n2)+ => ~ p(n3,n5,n6) )).++fof(axN35_27,axiom,+ ( p(n3,n5,n2)+ => ~ p(n3,n5,n7) )).++fof(axN35_28,axiom,+ ( p(n3,n5,n2)+ => ~ p(n3,n5,n8) )).++fof(axN35_29,axiom,+ ( p(n3,n5,n2)+ => ~ p(n3,n5,n9) )).++fof(axN35_34,axiom,+ ( p(n3,n5,n3)+ => ~ p(n3,n5,n4) )).++fof(axN35_35,axiom,+ ( p(n3,n5,n3)+ => ~ p(n3,n5,n5) )).++fof(axN35_36,axiom,+ ( p(n3,n5,n3)+ => ~ p(n3,n5,n6) )).++fof(axN35_37,axiom,+ ( p(n3,n5,n3)+ => ~ p(n3,n5,n7) )).++fof(axN35_38,axiom,+ ( p(n3,n5,n3)+ => ~ p(n3,n5,n8) )).++fof(axN35_39,axiom,+ ( p(n3,n5,n3)+ => ~ p(n3,n5,n9) )).++fof(axN35_45,axiom,+ ( p(n3,n5,n4)+ => ~ p(n3,n5,n5) )).++fof(axN35_46,axiom,+ ( p(n3,n5,n4)+ => ~ p(n3,n5,n6) )).++fof(axN35_47,axiom,+ ( p(n3,n5,n4)+ => ~ p(n3,n5,n7) )).++fof(axN35_48,axiom,+ ( p(n3,n5,n4)+ => ~ p(n3,n5,n8) )).++fof(axN35_49,axiom,+ ( p(n3,n5,n4)+ => ~ p(n3,n5,n9) )).++fof(axN35_56,axiom,+ ( p(n3,n5,n5)+ => ~ p(n3,n5,n6) )).++fof(axN35_57,axiom,+ ( p(n3,n5,n5)+ => ~ p(n3,n5,n7) )).++fof(axN35_58,axiom,+ ( p(n3,n5,n5)+ => ~ p(n3,n5,n8) )).++fof(axN35_59,axiom,+ ( p(n3,n5,n5)+ => ~ p(n3,n5,n9) )).++fof(axN35_67,axiom,+ ( p(n3,n5,n6)+ => ~ p(n3,n5,n7) )).++fof(axN35_68,axiom,+ ( p(n3,n5,n6)+ => ~ p(n3,n5,n8) )).++fof(axN35_69,axiom,+ ( p(n3,n5,n6)+ => ~ p(n3,n5,n9) )).++fof(axN35_78,axiom,+ ( p(n3,n5,n7)+ => ~ p(n3,n5,n8) )).++fof(axN35_79,axiom,+ ( p(n3,n5,n7)+ => ~ p(n3,n5,n9) )).++fof(axN35_89,axiom,+ ( p(n3,n5,n8)+ => ~ p(n3,n5,n9) )).++fof(axN36_12,axiom,+ ( p(n3,n6,n1)+ => ~ p(n3,n6,n2) )).++fof(axN36_13,axiom,+ ( p(n3,n6,n1)+ => ~ p(n3,n6,n3) )).++fof(axN36_14,axiom,+ ( p(n3,n6,n1)+ => ~ p(n3,n6,n4) )).++fof(axN36_15,axiom,+ ( p(n3,n6,n1)+ => ~ p(n3,n6,n5) )).++fof(axN36_16,axiom,+ ( p(n3,n6,n1)+ => ~ p(n3,n6,n6) )).++fof(axN36_17,axiom,+ ( p(n3,n6,n1)+ => ~ p(n3,n6,n7) )).++fof(axN36_18,axiom,+ ( p(n3,n6,n1)+ => ~ p(n3,n6,n8) )).++fof(axN36_19,axiom,+ ( p(n3,n6,n1)+ => ~ p(n3,n6,n9) )).++fof(axN36_23,axiom,+ ( p(n3,n6,n2)+ => ~ p(n3,n6,n3) )).++fof(axN36_24,axiom,+ ( p(n3,n6,n2)+ => ~ p(n3,n6,n4) )).++fof(axN36_25,axiom,+ ( p(n3,n6,n2)+ => ~ p(n3,n6,n5) )).++fof(axN36_26,axiom,+ ( p(n3,n6,n2)+ => ~ p(n3,n6,n6) )).++fof(axN36_27,axiom,+ ( p(n3,n6,n2)+ => ~ p(n3,n6,n7) )).++fof(axN36_28,axiom,+ ( p(n3,n6,n2)+ => ~ p(n3,n6,n8) )).++fof(axN36_29,axiom,+ ( p(n3,n6,n2)+ => ~ p(n3,n6,n9) )).++fof(axN36_34,axiom,+ ( p(n3,n6,n3)+ => ~ p(n3,n6,n4) )).++fof(axN36_35,axiom,+ ( p(n3,n6,n3)+ => ~ p(n3,n6,n5) )).++fof(axN36_36,axiom,+ ( p(n3,n6,n3)+ => ~ p(n3,n6,n6) )).++fof(axN36_37,axiom,+ ( p(n3,n6,n3)+ => ~ p(n3,n6,n7) )).++fof(axN36_38,axiom,+ ( p(n3,n6,n3)+ => ~ p(n3,n6,n8) )).++fof(axN36_39,axiom,+ ( p(n3,n6,n3)+ => ~ p(n3,n6,n9) )).++fof(axN36_45,axiom,+ ( p(n3,n6,n4)+ => ~ p(n3,n6,n5) )).++fof(axN36_46,axiom,+ ( p(n3,n6,n4)+ => ~ p(n3,n6,n6) )).++fof(axN36_47,axiom,+ ( p(n3,n6,n4)+ => ~ p(n3,n6,n7) )).++fof(axN36_48,axiom,+ ( p(n3,n6,n4)+ => ~ p(n3,n6,n8) )).++fof(axN36_49,axiom,+ ( p(n3,n6,n4)+ => ~ p(n3,n6,n9) )).++fof(axN36_56,axiom,+ ( p(n3,n6,n5)+ => ~ p(n3,n6,n6) )).++fof(axN36_57,axiom,+ ( p(n3,n6,n5)+ => ~ p(n3,n6,n7) )).++fof(axN36_58,axiom,+ ( p(n3,n6,n5)+ => ~ p(n3,n6,n8) )).++fof(axN36_59,axiom,+ ( p(n3,n6,n5)+ => ~ p(n3,n6,n9) )).++fof(axN36_67,axiom,+ ( p(n3,n6,n6)+ => ~ p(n3,n6,n7) )).++fof(axN36_68,axiom,+ ( p(n3,n6,n6)+ => ~ p(n3,n6,n8) )).++fof(axN36_69,axiom,+ ( p(n3,n6,n6)+ => ~ p(n3,n6,n9) )).++fof(axN36_78,axiom,+ ( p(n3,n6,n7)+ => ~ p(n3,n6,n8) )).++fof(axN36_79,axiom,+ ( p(n3,n6,n7)+ => ~ p(n3,n6,n9) )).++fof(axN36_89,axiom,+ ( p(n3,n6,n8)+ => ~ p(n3,n6,n9) )).++fof(axN37_12,axiom,+ ( p(n3,n7,n1)+ => ~ p(n3,n7,n2) )).++fof(axN37_13,axiom,+ ( p(n3,n7,n1)+ => ~ p(n3,n7,n3) )).++fof(axN37_14,axiom,+ ( p(n3,n7,n1)+ => ~ p(n3,n7,n4) )).++fof(axN37_15,axiom,+ ( p(n3,n7,n1)+ => ~ p(n3,n7,n5) )).++fof(axN37_16,axiom,+ ( p(n3,n7,n1)+ => ~ p(n3,n7,n6) )).++fof(axN37_17,axiom,+ ( p(n3,n7,n1)+ => ~ p(n3,n7,n7) )).++fof(axN37_18,axiom,+ ( p(n3,n7,n1)+ => ~ p(n3,n7,n8) )).++fof(axN37_19,axiom,+ ( p(n3,n7,n1)+ => ~ p(n3,n7,n9) )).++fof(axN37_23,axiom,+ ( p(n3,n7,n2)+ => ~ p(n3,n7,n3) )).++fof(axN37_24,axiom,+ ( p(n3,n7,n2)+ => ~ p(n3,n7,n4) )).++fof(axN37_25,axiom,+ ( p(n3,n7,n2)+ => ~ p(n3,n7,n5) )).++fof(axN37_26,axiom,+ ( p(n3,n7,n2)+ => ~ p(n3,n7,n6) )).++fof(axN37_27,axiom,+ ( p(n3,n7,n2)+ => ~ p(n3,n7,n7) )).++fof(axN37_28,axiom,+ ( p(n3,n7,n2)+ => ~ p(n3,n7,n8) )).++fof(axN37_29,axiom,+ ( p(n3,n7,n2)+ => ~ p(n3,n7,n9) )).++fof(axN37_34,axiom,+ ( p(n3,n7,n3)+ => ~ p(n3,n7,n4) )).++fof(axN37_35,axiom,+ ( p(n3,n7,n3)+ => ~ p(n3,n7,n5) )).++fof(axN37_36,axiom,+ ( p(n3,n7,n3)+ => ~ p(n3,n7,n6) )).++fof(axN37_37,axiom,+ ( p(n3,n7,n3)+ => ~ p(n3,n7,n7) )).++fof(axN37_38,axiom,+ ( p(n3,n7,n3)+ => ~ p(n3,n7,n8) )).++fof(axN37_39,axiom,+ ( p(n3,n7,n3)+ => ~ p(n3,n7,n9) )).++fof(axN37_45,axiom,+ ( p(n3,n7,n4)+ => ~ p(n3,n7,n5) )).++fof(axN37_46,axiom,+ ( p(n3,n7,n4)+ => ~ p(n3,n7,n6) )).++fof(axN37_47,axiom,+ ( p(n3,n7,n4)+ => ~ p(n3,n7,n7) )).++fof(axN37_48,axiom,+ ( p(n3,n7,n4)+ => ~ p(n3,n7,n8) )).++fof(axN37_49,axiom,+ ( p(n3,n7,n4)+ => ~ p(n3,n7,n9) )).++fof(axN37_56,axiom,+ ( p(n3,n7,n5)+ => ~ p(n3,n7,n6) )).++fof(axN37_57,axiom,+ ( p(n3,n7,n5)+ => ~ p(n3,n7,n7) )).++fof(axN37_58,axiom,+ ( p(n3,n7,n5)+ => ~ p(n3,n7,n8) )).++fof(axN37_59,axiom,+ ( p(n3,n7,n5)+ => ~ p(n3,n7,n9) )).++fof(axN37_67,axiom,+ ( p(n3,n7,n6)+ => ~ p(n3,n7,n7) )).++fof(axN37_68,axiom,+ ( p(n3,n7,n6)+ => ~ p(n3,n7,n8) )).++fof(axN37_69,axiom,+ ( p(n3,n7,n6)+ => ~ p(n3,n7,n9) )).++fof(axN37_78,axiom,+ ( p(n3,n7,n7)+ => ~ p(n3,n7,n8) )).++fof(axN37_79,axiom,+ ( p(n3,n7,n7)+ => ~ p(n3,n7,n9) )).++fof(axN37_89,axiom,+ ( p(n3,n7,n8)+ => ~ p(n3,n7,n9) )).++fof(axN38_12,axiom,+ ( p(n3,n8,n1)+ => ~ p(n3,n8,n2) )).++fof(axN38_13,axiom,+ ( p(n3,n8,n1)+ => ~ p(n3,n8,n3) )).++fof(axN38_14,axiom,+ ( p(n3,n8,n1)+ => ~ p(n3,n8,n4) )).++fof(axN38_15,axiom,+ ( p(n3,n8,n1)+ => ~ p(n3,n8,n5) )).++fof(axN38_16,axiom,+ ( p(n3,n8,n1)+ => ~ p(n3,n8,n6) )).++fof(axN38_17,axiom,+ ( p(n3,n8,n1)+ => ~ p(n3,n8,n7) )).++fof(axN38_18,axiom,+ ( p(n3,n8,n1)+ => ~ p(n3,n8,n8) )).++fof(axN38_19,axiom,+ ( p(n3,n8,n1)+ => ~ p(n3,n8,n9) )).++fof(axN38_23,axiom,+ ( p(n3,n8,n2)+ => ~ p(n3,n8,n3) )).++fof(axN38_24,axiom,+ ( p(n3,n8,n2)+ => ~ p(n3,n8,n4) )).++fof(axN38_25,axiom,+ ( p(n3,n8,n2)+ => ~ p(n3,n8,n5) )).++fof(axN38_26,axiom,+ ( p(n3,n8,n2)+ => ~ p(n3,n8,n6) )).++fof(axN38_27,axiom,+ ( p(n3,n8,n2)+ => ~ p(n3,n8,n7) )).++fof(axN38_28,axiom,+ ( p(n3,n8,n2)+ => ~ p(n3,n8,n8) )).++fof(axN38_29,axiom,+ ( p(n3,n8,n2)+ => ~ p(n3,n8,n9) )).++fof(axN38_34,axiom,+ ( p(n3,n8,n3)+ => ~ p(n3,n8,n4) )).++fof(axN38_35,axiom,+ ( p(n3,n8,n3)+ => ~ p(n3,n8,n5) )).++fof(axN38_36,axiom,+ ( p(n3,n8,n3)+ => ~ p(n3,n8,n6) )).++fof(axN38_37,axiom,+ ( p(n3,n8,n3)+ => ~ p(n3,n8,n7) )).++fof(axN38_38,axiom,+ ( p(n3,n8,n3)+ => ~ p(n3,n8,n8) )).++fof(axN38_39,axiom,+ ( p(n3,n8,n3)+ => ~ p(n3,n8,n9) )).++fof(axN38_45,axiom,+ ( p(n3,n8,n4)+ => ~ p(n3,n8,n5) )).++fof(axN38_46,axiom,+ ( p(n3,n8,n4)+ => ~ p(n3,n8,n6) )).++fof(axN38_47,axiom,+ ( p(n3,n8,n4)+ => ~ p(n3,n8,n7) )).++fof(axN38_48,axiom,+ ( p(n3,n8,n4)+ => ~ p(n3,n8,n8) )).++fof(axN38_49,axiom,+ ( p(n3,n8,n4)+ => ~ p(n3,n8,n9) )).++fof(axN38_56,axiom,+ ( p(n3,n8,n5)+ => ~ p(n3,n8,n6) )).++fof(axN38_57,axiom,+ ( p(n3,n8,n5)+ => ~ p(n3,n8,n7) )).++fof(axN38_58,axiom,+ ( p(n3,n8,n5)+ => ~ p(n3,n8,n8) )).++fof(axN38_59,axiom,+ ( p(n3,n8,n5)+ => ~ p(n3,n8,n9) )).++fof(axN38_67,axiom,+ ( p(n3,n8,n6)+ => ~ p(n3,n8,n7) )).++fof(axN38_68,axiom,+ ( p(n3,n8,n6)+ => ~ p(n3,n8,n8) )).++fof(axN38_69,axiom,+ ( p(n3,n8,n6)+ => ~ p(n3,n8,n9) )).++fof(axN38_78,axiom,+ ( p(n3,n8,n7)+ => ~ p(n3,n8,n8) )).++fof(axN38_79,axiom,+ ( p(n3,n8,n7)+ => ~ p(n3,n8,n9) )).++fof(axN38_89,axiom,+ ( p(n3,n8,n8)+ => ~ p(n3,n8,n9) )).++fof(axN39_12,axiom,+ ( p(n3,n9,n1)+ => ~ p(n3,n9,n2) )).++fof(axN39_13,axiom,+ ( p(n3,n9,n1)+ => ~ p(n3,n9,n3) )).++fof(axN39_14,axiom,+ ( p(n3,n9,n1)+ => ~ p(n3,n9,n4) )).++fof(axN39_15,axiom,+ ( p(n3,n9,n1)+ => ~ p(n3,n9,n5) )).++fof(axN39_16,axiom,+ ( p(n3,n9,n1)+ => ~ p(n3,n9,n6) )).++fof(axN39_17,axiom,+ ( p(n3,n9,n1)+ => ~ p(n3,n9,n7) )).++fof(axN39_18,axiom,+ ( p(n3,n9,n1)+ => ~ p(n3,n9,n8) )).++fof(axN39_19,axiom,+ ( p(n3,n9,n1)+ => ~ p(n3,n9,n9) )).++fof(axN39_23,axiom,+ ( p(n3,n9,n2)+ => ~ p(n3,n9,n3) )).++fof(axN39_24,axiom,+ ( p(n3,n9,n2)+ => ~ p(n3,n9,n4) )).++fof(axN39_25,axiom,+ ( p(n3,n9,n2)+ => ~ p(n3,n9,n5) )).++fof(axN39_26,axiom,+ ( p(n3,n9,n2)+ => ~ p(n3,n9,n6) )).++fof(axN39_27,axiom,+ ( p(n3,n9,n2)+ => ~ p(n3,n9,n7) )).++fof(axN39_28,axiom,+ ( p(n3,n9,n2)+ => ~ p(n3,n9,n8) )).++fof(axN39_29,axiom,+ ( p(n3,n9,n2)+ => ~ p(n3,n9,n9) )).++fof(axN39_34,axiom,+ ( p(n3,n9,n3)+ => ~ p(n3,n9,n4) )).++fof(axN39_35,axiom,+ ( p(n3,n9,n3)+ => ~ p(n3,n9,n5) )).++fof(axN39_36,axiom,+ ( p(n3,n9,n3)+ => ~ p(n3,n9,n6) )).++fof(axN39_37,axiom,+ ( p(n3,n9,n3)+ => ~ p(n3,n9,n7) )).++fof(axN39_38,axiom,+ ( p(n3,n9,n3)+ => ~ p(n3,n9,n8) )).++fof(axN39_39,axiom,+ ( p(n3,n9,n3)+ => ~ p(n3,n9,n9) )).++fof(axN39_45,axiom,+ ( p(n3,n9,n4)+ => ~ p(n3,n9,n5) )).++fof(axN39_46,axiom,+ ( p(n3,n9,n4)+ => ~ p(n3,n9,n6) )).++fof(axN39_47,axiom,+ ( p(n3,n9,n4)+ => ~ p(n3,n9,n7) )).++fof(axN39_48,axiom,+ ( p(n3,n9,n4)+ => ~ p(n3,n9,n8) )).++fof(axN39_49,axiom,+ ( p(n3,n9,n4)+ => ~ p(n3,n9,n9) )).++fof(axN39_56,axiom,+ ( p(n3,n9,n5)+ => ~ p(n3,n9,n6) )).++fof(axN39_57,axiom,+ ( p(n3,n9,n5)+ => ~ p(n3,n9,n7) )).++fof(axN39_58,axiom,+ ( p(n3,n9,n5)+ => ~ p(n3,n9,n8) )).++fof(axN39_59,axiom,+ ( p(n3,n9,n5)+ => ~ p(n3,n9,n9) )).++fof(axN39_67,axiom,+ ( p(n3,n9,n6)+ => ~ p(n3,n9,n7) )).++fof(axN39_68,axiom,+ ( p(n3,n9,n6)+ => ~ p(n3,n9,n8) )).++fof(axN39_69,axiom,+ ( p(n3,n9,n6)+ => ~ p(n3,n9,n9) )).++fof(axN39_78,axiom,+ ( p(n3,n9,n7)+ => ~ p(n3,n9,n8) )).++fof(axN39_79,axiom,+ ( p(n3,n9,n7)+ => ~ p(n3,n9,n9) )).++fof(axN39_89,axiom,+ ( p(n3,n9,n8)+ => ~ p(n3,n9,n9) )).++fof(axN41_12,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n1,n2) )).++fof(axN41_13,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n1,n3) )).++fof(axN41_14,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n1,n4) )).++fof(axN41_15,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n1,n5) )).++fof(axN41_16,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n1,n6) )).++fof(axN41_17,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n1,n7) )).++fof(axN41_18,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n1,n8) )).++fof(axN41_19,axiom,+ ( p(n4,n1,n1)+ => ~ p(n4,n1,n9) )).++fof(axN41_23,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n1,n3) )).++fof(axN41_24,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n1,n4) )).++fof(axN41_25,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n1,n5) )).++fof(axN41_26,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n1,n6) )).++fof(axN41_27,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n1,n7) )).++fof(axN41_28,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n1,n8) )).++fof(axN41_29,axiom,+ ( p(n4,n1,n2)+ => ~ p(n4,n1,n9) )).++fof(axN41_34,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n1,n4) )).++fof(axN41_35,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n1,n5) )).++fof(axN41_36,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n1,n6) )).++fof(axN41_37,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n1,n7) )).++fof(axN41_38,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n1,n8) )).++fof(axN41_39,axiom,+ ( p(n4,n1,n3)+ => ~ p(n4,n1,n9) )).++fof(axN41_45,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n1,n5) )).++fof(axN41_46,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n1,n6) )).++fof(axN41_47,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n1,n7) )).++fof(axN41_48,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n1,n8) )).++fof(axN41_49,axiom,+ ( p(n4,n1,n4)+ => ~ p(n4,n1,n9) )).++fof(axN41_56,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n1,n6) )).++fof(axN41_57,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n1,n7) )).++fof(axN41_58,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n1,n8) )).++fof(axN41_59,axiom,+ ( p(n4,n1,n5)+ => ~ p(n4,n1,n9) )).++fof(axN41_67,axiom,+ ( p(n4,n1,n6)+ => ~ p(n4,n1,n7) )).++fof(axN41_68,axiom,+ ( p(n4,n1,n6)+ => ~ p(n4,n1,n8) )).++fof(axN41_69,axiom,+ ( p(n4,n1,n6)+ => ~ p(n4,n1,n9) )).++fof(axN41_78,axiom,+ ( p(n4,n1,n7)+ => ~ p(n4,n1,n8) )).++fof(axN41_79,axiom,+ ( p(n4,n1,n7)+ => ~ p(n4,n1,n9) )).++fof(axN41_89,axiom,+ ( p(n4,n1,n8)+ => ~ p(n4,n1,n9) )).++fof(axN42_12,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n2,n2) )).++fof(axN42_13,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n2,n3) )).++fof(axN42_14,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n2,n4) )).++fof(axN42_15,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n2,n5) )).++fof(axN42_16,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n2,n6) )).++fof(axN42_17,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n2,n7) )).++fof(axN42_18,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n2,n8) )).++fof(axN42_19,axiom,+ ( p(n4,n2,n1)+ => ~ p(n4,n2,n9) )).++fof(axN42_23,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n2,n3) )).++fof(axN42_24,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n2,n4) )).++fof(axN42_25,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n2,n5) )).++fof(axN42_26,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n2,n6) )).++fof(axN42_27,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n2,n7) )).++fof(axN42_28,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n2,n8) )).++fof(axN42_29,axiom,+ ( p(n4,n2,n2)+ => ~ p(n4,n2,n9) )).++fof(axN42_34,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n2,n4) )).++fof(axN42_35,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n2,n5) )).++fof(axN42_36,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n2,n6) )).++fof(axN42_37,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n2,n7) )).++fof(axN42_38,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n2,n8) )).++fof(axN42_39,axiom,+ ( p(n4,n2,n3)+ => ~ p(n4,n2,n9) )).++fof(axN42_45,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n2,n5) )).++fof(axN42_46,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n2,n6) )).++fof(axN42_47,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n2,n7) )).++fof(axN42_48,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n2,n8) )).++fof(axN42_49,axiom,+ ( p(n4,n2,n4)+ => ~ p(n4,n2,n9) )).++fof(axN42_56,axiom,+ ( p(n4,n2,n5)+ => ~ p(n4,n2,n6) )).++fof(axN42_57,axiom,+ ( p(n4,n2,n5)+ => ~ p(n4,n2,n7) )).++fof(axN42_58,axiom,+ ( p(n4,n2,n5)+ => ~ p(n4,n2,n8) )).++fof(axN42_59,axiom,+ ( p(n4,n2,n5)+ => ~ p(n4,n2,n9) )).++fof(axN42_67,axiom,+ ( p(n4,n2,n6)+ => ~ p(n4,n2,n7) )).++fof(axN42_68,axiom,+ ( p(n4,n2,n6)+ => ~ p(n4,n2,n8) )).++fof(axN42_69,axiom,+ ( p(n4,n2,n6)+ => ~ p(n4,n2,n9) )).++fof(axN42_78,axiom,+ ( p(n4,n2,n7)+ => ~ p(n4,n2,n8) )).++fof(axN42_79,axiom,+ ( p(n4,n2,n7)+ => ~ p(n4,n2,n9) )).++fof(axN42_89,axiom,+ ( p(n4,n2,n8)+ => ~ p(n4,n2,n9) )).++fof(axN43_12,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n3,n2) )).++fof(axN43_13,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n3,n3) )).++fof(axN43_14,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n3,n4) )).++fof(axN43_15,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n3,n5) )).++fof(axN43_16,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n3,n6) )).++fof(axN43_17,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n3,n7) )).++fof(axN43_18,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n3,n8) )).++fof(axN43_19,axiom,+ ( p(n4,n3,n1)+ => ~ p(n4,n3,n9) )).++fof(axN43_23,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n3,n3) )).++fof(axN43_24,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n3,n4) )).++fof(axN43_25,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n3,n5) )).++fof(axN43_26,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n3,n6) )).++fof(axN43_27,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n3,n7) )).++fof(axN43_28,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n3,n8) )).++fof(axN43_29,axiom,+ ( p(n4,n3,n2)+ => ~ p(n4,n3,n9) )).++fof(axN43_34,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n3,n4) )).++fof(axN43_35,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n3,n5) )).++fof(axN43_36,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n3,n6) )).++fof(axN43_37,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n3,n7) )).++fof(axN43_38,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n3,n8) )).++fof(axN43_39,axiom,+ ( p(n4,n3,n3)+ => ~ p(n4,n3,n9) )).++fof(axN43_45,axiom,+ ( p(n4,n3,n4)+ => ~ p(n4,n3,n5) )).++fof(axN43_46,axiom,+ ( p(n4,n3,n4)+ => ~ p(n4,n3,n6) )).++fof(axN43_47,axiom,+ ( p(n4,n3,n4)+ => ~ p(n4,n3,n7) )).++fof(axN43_48,axiom,+ ( p(n4,n3,n4)+ => ~ p(n4,n3,n8) )).++fof(axN43_49,axiom,+ ( p(n4,n3,n4)+ => ~ p(n4,n3,n9) )).++fof(axN43_56,axiom,+ ( p(n4,n3,n5)+ => ~ p(n4,n3,n6) )).++fof(axN43_57,axiom,+ ( p(n4,n3,n5)+ => ~ p(n4,n3,n7) )).++fof(axN43_58,axiom,+ ( p(n4,n3,n5)+ => ~ p(n4,n3,n8) )).++fof(axN43_59,axiom,+ ( p(n4,n3,n5)+ => ~ p(n4,n3,n9) )).++fof(axN43_67,axiom,+ ( p(n4,n3,n6)+ => ~ p(n4,n3,n7) )).++fof(axN43_68,axiom,+ ( p(n4,n3,n6)+ => ~ p(n4,n3,n8) )).++fof(axN43_69,axiom,+ ( p(n4,n3,n6)+ => ~ p(n4,n3,n9) )).++fof(axN43_78,axiom,+ ( p(n4,n3,n7)+ => ~ p(n4,n3,n8) )).++fof(axN43_79,axiom,+ ( p(n4,n3,n7)+ => ~ p(n4,n3,n9) )).++fof(axN43_89,axiom,+ ( p(n4,n3,n8)+ => ~ p(n4,n3,n9) )).++fof(axN44_12,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n4,n2) )).++fof(axN44_13,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n4,n3) )).++fof(axN44_14,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n4,n4) )).++fof(axN44_15,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n4,n5) )).++fof(axN44_16,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n4,n6) )).++fof(axN44_17,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n4,n7) )).++fof(axN44_18,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n4,n8) )).++fof(axN44_19,axiom,+ ( p(n4,n4,n1)+ => ~ p(n4,n4,n9) )).++fof(axN44_23,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n4,n3) )).++fof(axN44_24,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n4,n4) )).++fof(axN44_25,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n4,n5) )).++fof(axN44_26,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n4,n6) )).++fof(axN44_27,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n4,n7) )).++fof(axN44_28,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n4,n8) )).++fof(axN44_29,axiom,+ ( p(n4,n4,n2)+ => ~ p(n4,n4,n9) )).++fof(axN44_34,axiom,+ ( p(n4,n4,n3)+ => ~ p(n4,n4,n4) )).++fof(axN44_35,axiom,+ ( p(n4,n4,n3)+ => ~ p(n4,n4,n5) )).++fof(axN44_36,axiom,+ ( p(n4,n4,n3)+ => ~ p(n4,n4,n6) )).++fof(axN44_37,axiom,+ ( p(n4,n4,n3)+ => ~ p(n4,n4,n7) )).++fof(axN44_38,axiom,+ ( p(n4,n4,n3)+ => ~ p(n4,n4,n8) )).++fof(axN44_39,axiom,+ ( p(n4,n4,n3)+ => ~ p(n4,n4,n9) )).++fof(axN44_45,axiom,+ ( p(n4,n4,n4)+ => ~ p(n4,n4,n5) )).++fof(axN44_46,axiom,+ ( p(n4,n4,n4)+ => ~ p(n4,n4,n6) )).++fof(axN44_47,axiom,+ ( p(n4,n4,n4)+ => ~ p(n4,n4,n7) )).++fof(axN44_48,axiom,+ ( p(n4,n4,n4)+ => ~ p(n4,n4,n8) )).++fof(axN44_49,axiom,+ ( p(n4,n4,n4)+ => ~ p(n4,n4,n9) )).++fof(axN44_56,axiom,+ ( p(n4,n4,n5)+ => ~ p(n4,n4,n6) )).++fof(axN44_57,axiom,+ ( p(n4,n4,n5)+ => ~ p(n4,n4,n7) )).++fof(axN44_58,axiom,+ ( p(n4,n4,n5)+ => ~ p(n4,n4,n8) )).++fof(axN44_59,axiom,+ ( p(n4,n4,n5)+ => ~ p(n4,n4,n9) )).++fof(axN44_67,axiom,+ ( p(n4,n4,n6)+ => ~ p(n4,n4,n7) )).++fof(axN44_68,axiom,+ ( p(n4,n4,n6)+ => ~ p(n4,n4,n8) )).++fof(axN44_69,axiom,+ ( p(n4,n4,n6)+ => ~ p(n4,n4,n9) )).++fof(axN44_78,axiom,+ ( p(n4,n4,n7)+ => ~ p(n4,n4,n8) )).++fof(axN44_79,axiom,+ ( p(n4,n4,n7)+ => ~ p(n4,n4,n9) )).++fof(axN44_89,axiom,+ ( p(n4,n4,n8)+ => ~ p(n4,n4,n9) )).++fof(axN45_12,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n5,n2) )).++fof(axN45_13,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n5,n3) )).++fof(axN45_14,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n5,n4) )).++fof(axN45_15,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n5,n5) )).++fof(axN45_16,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n5,n6) )).++fof(axN45_17,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n5,n7) )).++fof(axN45_18,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n5,n8) )).++fof(axN45_19,axiom,+ ( p(n4,n5,n1)+ => ~ p(n4,n5,n9) )).++fof(axN45_23,axiom,+ ( p(n4,n5,n2)+ => ~ p(n4,n5,n3) )).++fof(axN45_24,axiom,+ ( p(n4,n5,n2)+ => ~ p(n4,n5,n4) )).++fof(axN45_25,axiom,+ ( p(n4,n5,n2)+ => ~ p(n4,n5,n5) )).++fof(axN45_26,axiom,+ ( p(n4,n5,n2)+ => ~ p(n4,n5,n6) )).++fof(axN45_27,axiom,+ ( p(n4,n5,n2)+ => ~ p(n4,n5,n7) )).++fof(axN45_28,axiom,+ ( p(n4,n5,n2)+ => ~ p(n4,n5,n8) )).++fof(axN45_29,axiom,+ ( p(n4,n5,n2)+ => ~ p(n4,n5,n9) )).++fof(axN45_34,axiom,+ ( p(n4,n5,n3)+ => ~ p(n4,n5,n4) )).++fof(axN45_35,axiom,+ ( p(n4,n5,n3)+ => ~ p(n4,n5,n5) )).++fof(axN45_36,axiom,+ ( p(n4,n5,n3)+ => ~ p(n4,n5,n6) )).++fof(axN45_37,axiom,+ ( p(n4,n5,n3)+ => ~ p(n4,n5,n7) )).++fof(axN45_38,axiom,+ ( p(n4,n5,n3)+ => ~ p(n4,n5,n8) )).++fof(axN45_39,axiom,+ ( p(n4,n5,n3)+ => ~ p(n4,n5,n9) )).++fof(axN45_45,axiom,+ ( p(n4,n5,n4)+ => ~ p(n4,n5,n5) )).++fof(axN45_46,axiom,+ ( p(n4,n5,n4)+ => ~ p(n4,n5,n6) )).++fof(axN45_47,axiom,+ ( p(n4,n5,n4)+ => ~ p(n4,n5,n7) )).++fof(axN45_48,axiom,+ ( p(n4,n5,n4)+ => ~ p(n4,n5,n8) )).++fof(axN45_49,axiom,+ ( p(n4,n5,n4)+ => ~ p(n4,n5,n9) )).++fof(axN45_56,axiom,+ ( p(n4,n5,n5)+ => ~ p(n4,n5,n6) )).++fof(axN45_57,axiom,+ ( p(n4,n5,n5)+ => ~ p(n4,n5,n7) )).++fof(axN45_58,axiom,+ ( p(n4,n5,n5)+ => ~ p(n4,n5,n8) )).++fof(axN45_59,axiom,+ ( p(n4,n5,n5)+ => ~ p(n4,n5,n9) )).++fof(axN45_67,axiom,+ ( p(n4,n5,n6)+ => ~ p(n4,n5,n7) )).++fof(axN45_68,axiom,+ ( p(n4,n5,n6)+ => ~ p(n4,n5,n8) )).++fof(axN45_69,axiom,+ ( p(n4,n5,n6)+ => ~ p(n4,n5,n9) )).++fof(axN45_78,axiom,+ ( p(n4,n5,n7)+ => ~ p(n4,n5,n8) )).++fof(axN45_79,axiom,+ ( p(n4,n5,n7)+ => ~ p(n4,n5,n9) )).++fof(axN45_89,axiom,+ ( p(n4,n5,n8)+ => ~ p(n4,n5,n9) )).++fof(axN46_12,axiom,+ ( p(n4,n6,n1)+ => ~ p(n4,n6,n2) )).++fof(axN46_13,axiom,+ ( p(n4,n6,n1)+ => ~ p(n4,n6,n3) )).++fof(axN46_14,axiom,+ ( p(n4,n6,n1)+ => ~ p(n4,n6,n4) )).++fof(axN46_15,axiom,+ ( p(n4,n6,n1)+ => ~ p(n4,n6,n5) )).++fof(axN46_16,axiom,+ ( p(n4,n6,n1)+ => ~ p(n4,n6,n6) )).++fof(axN46_17,axiom,+ ( p(n4,n6,n1)+ => ~ p(n4,n6,n7) )).++fof(axN46_18,axiom,+ ( p(n4,n6,n1)+ => ~ p(n4,n6,n8) )).++fof(axN46_19,axiom,+ ( p(n4,n6,n1)+ => ~ p(n4,n6,n9) )).++fof(axN46_23,axiom,+ ( p(n4,n6,n2)+ => ~ p(n4,n6,n3) )).++fof(axN46_24,axiom,+ ( p(n4,n6,n2)+ => ~ p(n4,n6,n4) )).++fof(axN46_25,axiom,+ ( p(n4,n6,n2)+ => ~ p(n4,n6,n5) )).++fof(axN46_26,axiom,+ ( p(n4,n6,n2)+ => ~ p(n4,n6,n6) )).++fof(axN46_27,axiom,+ ( p(n4,n6,n2)+ => ~ p(n4,n6,n7) )).++fof(axN46_28,axiom,+ ( p(n4,n6,n2)+ => ~ p(n4,n6,n8) )).++fof(axN46_29,axiom,+ ( p(n4,n6,n2)+ => ~ p(n4,n6,n9) )).++fof(axN46_34,axiom,+ ( p(n4,n6,n3)+ => ~ p(n4,n6,n4) )).++fof(axN46_35,axiom,+ ( p(n4,n6,n3)+ => ~ p(n4,n6,n5) )).++fof(axN46_36,axiom,+ ( p(n4,n6,n3)+ => ~ p(n4,n6,n6) )).++fof(axN46_37,axiom,+ ( p(n4,n6,n3)+ => ~ p(n4,n6,n7) )).++fof(axN46_38,axiom,+ ( p(n4,n6,n3)+ => ~ p(n4,n6,n8) )).++fof(axN46_39,axiom,+ ( p(n4,n6,n3)+ => ~ p(n4,n6,n9) )).++fof(axN46_45,axiom,+ ( p(n4,n6,n4)+ => ~ p(n4,n6,n5) )).++fof(axN46_46,axiom,+ ( p(n4,n6,n4)+ => ~ p(n4,n6,n6) )).++fof(axN46_47,axiom,+ ( p(n4,n6,n4)+ => ~ p(n4,n6,n7) )).++fof(axN46_48,axiom,+ ( p(n4,n6,n4)+ => ~ p(n4,n6,n8) )).++fof(axN46_49,axiom,+ ( p(n4,n6,n4)+ => ~ p(n4,n6,n9) )).++fof(axN46_56,axiom,+ ( p(n4,n6,n5)+ => ~ p(n4,n6,n6) )).++fof(axN46_57,axiom,+ ( p(n4,n6,n5)+ => ~ p(n4,n6,n7) )).++fof(axN46_58,axiom,+ ( p(n4,n6,n5)+ => ~ p(n4,n6,n8) )).++fof(axN46_59,axiom,+ ( p(n4,n6,n5)+ => ~ p(n4,n6,n9) )).++fof(axN46_67,axiom,+ ( p(n4,n6,n6)+ => ~ p(n4,n6,n7) )).++fof(axN46_68,axiom,+ ( p(n4,n6,n6)+ => ~ p(n4,n6,n8) )).++fof(axN46_69,axiom,+ ( p(n4,n6,n6)+ => ~ p(n4,n6,n9) )).++fof(axN46_78,axiom,+ ( p(n4,n6,n7)+ => ~ p(n4,n6,n8) )).++fof(axN46_79,axiom,+ ( p(n4,n6,n7)+ => ~ p(n4,n6,n9) )).++fof(axN46_89,axiom,+ ( p(n4,n6,n8)+ => ~ p(n4,n6,n9) )).++fof(axN47_12,axiom,+ ( p(n4,n7,n1)+ => ~ p(n4,n7,n2) )).++fof(axN47_13,axiom,+ ( p(n4,n7,n1)+ => ~ p(n4,n7,n3) )).++fof(axN47_14,axiom,+ ( p(n4,n7,n1)+ => ~ p(n4,n7,n4) )).++fof(axN47_15,axiom,+ ( p(n4,n7,n1)+ => ~ p(n4,n7,n5) )).++fof(axN47_16,axiom,+ ( p(n4,n7,n1)+ => ~ p(n4,n7,n6) )).++fof(axN47_17,axiom,+ ( p(n4,n7,n1)+ => ~ p(n4,n7,n7) )).++fof(axN47_18,axiom,+ ( p(n4,n7,n1)+ => ~ p(n4,n7,n8) )).++fof(axN47_19,axiom,+ ( p(n4,n7,n1)+ => ~ p(n4,n7,n9) )).++fof(axN47_23,axiom,+ ( p(n4,n7,n2)+ => ~ p(n4,n7,n3) )).++fof(axN47_24,axiom,+ ( p(n4,n7,n2)+ => ~ p(n4,n7,n4) )).++fof(axN47_25,axiom,+ ( p(n4,n7,n2)+ => ~ p(n4,n7,n5) )).++fof(axN47_26,axiom,+ ( p(n4,n7,n2)+ => ~ p(n4,n7,n6) )).++fof(axN47_27,axiom,+ ( p(n4,n7,n2)+ => ~ p(n4,n7,n7) )).++fof(axN47_28,axiom,+ ( p(n4,n7,n2)+ => ~ p(n4,n7,n8) )).++fof(axN47_29,axiom,+ ( p(n4,n7,n2)+ => ~ p(n4,n7,n9) )).++fof(axN47_34,axiom,+ ( p(n4,n7,n3)+ => ~ p(n4,n7,n4) )).++fof(axN47_35,axiom,+ ( p(n4,n7,n3)+ => ~ p(n4,n7,n5) )).++fof(axN47_36,axiom,+ ( p(n4,n7,n3)+ => ~ p(n4,n7,n6) )).++fof(axN47_37,axiom,+ ( p(n4,n7,n3)+ => ~ p(n4,n7,n7) )).++fof(axN47_38,axiom,+ ( p(n4,n7,n3)+ => ~ p(n4,n7,n8) )).++fof(axN47_39,axiom,+ ( p(n4,n7,n3)+ => ~ p(n4,n7,n9) )).++fof(axN47_45,axiom,+ ( p(n4,n7,n4)+ => ~ p(n4,n7,n5) )).++fof(axN47_46,axiom,+ ( p(n4,n7,n4)+ => ~ p(n4,n7,n6) )).++fof(axN47_47,axiom,+ ( p(n4,n7,n4)+ => ~ p(n4,n7,n7) )).++fof(axN47_48,axiom,+ ( p(n4,n7,n4)+ => ~ p(n4,n7,n8) )).++fof(axN47_49,axiom,+ ( p(n4,n7,n4)+ => ~ p(n4,n7,n9) )).++fof(axN47_56,axiom,+ ( p(n4,n7,n5)+ => ~ p(n4,n7,n6) )).++fof(axN47_57,axiom,+ ( p(n4,n7,n5)+ => ~ p(n4,n7,n7) )).++fof(axN47_58,axiom,+ ( p(n4,n7,n5)+ => ~ p(n4,n7,n8) )).++fof(axN47_59,axiom,+ ( p(n4,n7,n5)+ => ~ p(n4,n7,n9) )).++fof(axN47_67,axiom,+ ( p(n4,n7,n6)+ => ~ p(n4,n7,n7) )).++fof(axN47_68,axiom,+ ( p(n4,n7,n6)+ => ~ p(n4,n7,n8) )).++fof(axN47_69,axiom,+ ( p(n4,n7,n6)+ => ~ p(n4,n7,n9) )).++fof(axN47_78,axiom,+ ( p(n4,n7,n7)+ => ~ p(n4,n7,n8) )).++fof(axN47_79,axiom,+ ( p(n4,n7,n7)+ => ~ p(n4,n7,n9) )).++fof(axN47_89,axiom,+ ( p(n4,n7,n8)+ => ~ p(n4,n7,n9) )).++fof(axN48_12,axiom,+ ( p(n4,n8,n1)+ => ~ p(n4,n8,n2) )).++fof(axN48_13,axiom,+ ( p(n4,n8,n1)+ => ~ p(n4,n8,n3) )).++fof(axN48_14,axiom,+ ( p(n4,n8,n1)+ => ~ p(n4,n8,n4) )).++fof(axN48_15,axiom,+ ( p(n4,n8,n1)+ => ~ p(n4,n8,n5) )).++fof(axN48_16,axiom,+ ( p(n4,n8,n1)+ => ~ p(n4,n8,n6) )).++fof(axN48_17,axiom,+ ( p(n4,n8,n1)+ => ~ p(n4,n8,n7) )).++fof(axN48_18,axiom,+ ( p(n4,n8,n1)+ => ~ p(n4,n8,n8) )).++fof(axN48_19,axiom,+ ( p(n4,n8,n1)+ => ~ p(n4,n8,n9) )).++fof(axN48_23,axiom,+ ( p(n4,n8,n2)+ => ~ p(n4,n8,n3) )).++fof(axN48_24,axiom,+ ( p(n4,n8,n2)+ => ~ p(n4,n8,n4) )).++fof(axN48_25,axiom,+ ( p(n4,n8,n2)+ => ~ p(n4,n8,n5) )).++fof(axN48_26,axiom,+ ( p(n4,n8,n2)+ => ~ p(n4,n8,n6) )).++fof(axN48_27,axiom,+ ( p(n4,n8,n2)+ => ~ p(n4,n8,n7) )).++fof(axN48_28,axiom,+ ( p(n4,n8,n2)+ => ~ p(n4,n8,n8) )).++fof(axN48_29,axiom,+ ( p(n4,n8,n2)+ => ~ p(n4,n8,n9) )).++fof(axN48_34,axiom,+ ( p(n4,n8,n3)+ => ~ p(n4,n8,n4) )).++fof(axN48_35,axiom,+ ( p(n4,n8,n3)+ => ~ p(n4,n8,n5) )).++fof(axN48_36,axiom,+ ( p(n4,n8,n3)+ => ~ p(n4,n8,n6) )).++fof(axN48_37,axiom,+ ( p(n4,n8,n3)+ => ~ p(n4,n8,n7) )).++fof(axN48_38,axiom,+ ( p(n4,n8,n3)+ => ~ p(n4,n8,n8) )).++fof(axN48_39,axiom,+ ( p(n4,n8,n3)+ => ~ p(n4,n8,n9) )).++fof(axN48_45,axiom,+ ( p(n4,n8,n4)+ => ~ p(n4,n8,n5) )).++fof(axN48_46,axiom,+ ( p(n4,n8,n4)+ => ~ p(n4,n8,n6) )).++fof(axN48_47,axiom,+ ( p(n4,n8,n4)+ => ~ p(n4,n8,n7) )).++fof(axN48_48,axiom,+ ( p(n4,n8,n4)+ => ~ p(n4,n8,n8) )).++fof(axN48_49,axiom,+ ( p(n4,n8,n4)+ => ~ p(n4,n8,n9) )).++fof(axN48_56,axiom,+ ( p(n4,n8,n5)+ => ~ p(n4,n8,n6) )).++fof(axN48_57,axiom,+ ( p(n4,n8,n5)+ => ~ p(n4,n8,n7) )).++fof(axN48_58,axiom,+ ( p(n4,n8,n5)+ => ~ p(n4,n8,n8) )).++fof(axN48_59,axiom,+ ( p(n4,n8,n5)+ => ~ p(n4,n8,n9) )).++fof(axN48_67,axiom,+ ( p(n4,n8,n6)+ => ~ p(n4,n8,n7) )).++fof(axN48_68,axiom,+ ( p(n4,n8,n6)+ => ~ p(n4,n8,n8) )).++fof(axN48_69,axiom,+ ( p(n4,n8,n6)+ => ~ p(n4,n8,n9) )).++fof(axN48_78,axiom,+ ( p(n4,n8,n7)+ => ~ p(n4,n8,n8) )).++fof(axN48_79,axiom,+ ( p(n4,n8,n7)+ => ~ p(n4,n8,n9) )).++fof(axN48_89,axiom,+ ( p(n4,n8,n8)+ => ~ p(n4,n8,n9) )).++fof(axN49_12,axiom,+ ( p(n4,n9,n1)+ => ~ p(n4,n9,n2) )).++fof(axN49_13,axiom,+ ( p(n4,n9,n1)+ => ~ p(n4,n9,n3) )).++fof(axN49_14,axiom,+ ( p(n4,n9,n1)+ => ~ p(n4,n9,n4) )).++fof(axN49_15,axiom,+ ( p(n4,n9,n1)+ => ~ p(n4,n9,n5) )).++fof(axN49_16,axiom,+ ( p(n4,n9,n1)+ => ~ p(n4,n9,n6) )).++fof(axN49_17,axiom,+ ( p(n4,n9,n1)+ => ~ p(n4,n9,n7) )).++fof(axN49_18,axiom,+ ( p(n4,n9,n1)+ => ~ p(n4,n9,n8) )).++fof(axN49_19,axiom,+ ( p(n4,n9,n1)+ => ~ p(n4,n9,n9) )).++fof(axN49_23,axiom,+ ( p(n4,n9,n2)+ => ~ p(n4,n9,n3) )).++fof(axN49_24,axiom,+ ( p(n4,n9,n2)+ => ~ p(n4,n9,n4) )).++fof(axN49_25,axiom,+ ( p(n4,n9,n2)+ => ~ p(n4,n9,n5) )).++fof(axN49_26,axiom,+ ( p(n4,n9,n2)+ => ~ p(n4,n9,n6) )).++fof(axN49_27,axiom,+ ( p(n4,n9,n2)+ => ~ p(n4,n9,n7) )).++fof(axN49_28,axiom,+ ( p(n4,n9,n2)+ => ~ p(n4,n9,n8) )).++fof(axN49_29,axiom,+ ( p(n4,n9,n2)+ => ~ p(n4,n9,n9) )).++fof(axN49_34,axiom,+ ( p(n4,n9,n3)+ => ~ p(n4,n9,n4) )).++fof(axN49_35,axiom,+ ( p(n4,n9,n3)+ => ~ p(n4,n9,n5) )).++fof(axN49_36,axiom,+ ( p(n4,n9,n3)+ => ~ p(n4,n9,n6) )).++fof(axN49_37,axiom,+ ( p(n4,n9,n3)+ => ~ p(n4,n9,n7) )).++fof(axN49_38,axiom,+ ( p(n4,n9,n3)+ => ~ p(n4,n9,n8) )).++fof(axN49_39,axiom,+ ( p(n4,n9,n3)+ => ~ p(n4,n9,n9) )).++fof(axN49_45,axiom,+ ( p(n4,n9,n4)+ => ~ p(n4,n9,n5) )).++fof(axN49_46,axiom,+ ( p(n4,n9,n4)+ => ~ p(n4,n9,n6) )).++fof(axN49_47,axiom,+ ( p(n4,n9,n4)+ => ~ p(n4,n9,n7) )).++fof(axN49_48,axiom,+ ( p(n4,n9,n4)+ => ~ p(n4,n9,n8) )).++fof(axN49_49,axiom,+ ( p(n4,n9,n4)+ => ~ p(n4,n9,n9) )).++fof(axN49_56,axiom,+ ( p(n4,n9,n5)+ => ~ p(n4,n9,n6) )).++fof(axN49_57,axiom,+ ( p(n4,n9,n5)+ => ~ p(n4,n9,n7) )).++fof(axN49_58,axiom,+ ( p(n4,n9,n5)+ => ~ p(n4,n9,n8) )).++fof(axN49_59,axiom,+ ( p(n4,n9,n5)+ => ~ p(n4,n9,n9) )).++fof(axN49_67,axiom,+ ( p(n4,n9,n6)+ => ~ p(n4,n9,n7) )).++fof(axN49_68,axiom,+ ( p(n4,n9,n6)+ => ~ p(n4,n9,n8) )).++fof(axN49_69,axiom,+ ( p(n4,n9,n6)+ => ~ p(n4,n9,n9) )).++fof(axN49_78,axiom,+ ( p(n4,n9,n7)+ => ~ p(n4,n9,n8) )).++fof(axN49_79,axiom,+ ( p(n4,n9,n7)+ => ~ p(n4,n9,n9) )).++fof(axN49_89,axiom,+ ( p(n4,n9,n8)+ => ~ p(n4,n9,n9) )).++fof(axN51_12,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n1,n2) )).++fof(axN51_13,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n1,n3) )).++fof(axN51_14,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n1,n4) )).++fof(axN51_15,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n1,n5) )).++fof(axN51_16,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n1,n6) )).++fof(axN51_17,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n1,n7) )).++fof(axN51_18,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n1,n8) )).++fof(axN51_19,axiom,+ ( p(n5,n1,n1)+ => ~ p(n5,n1,n9) )).++fof(axN51_23,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n1,n3) )).++fof(axN51_24,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n1,n4) )).++fof(axN51_25,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n1,n5) )).++fof(axN51_26,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n1,n6) )).++fof(axN51_27,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n1,n7) )).++fof(axN51_28,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n1,n8) )).++fof(axN51_29,axiom,+ ( p(n5,n1,n2)+ => ~ p(n5,n1,n9) )).++fof(axN51_34,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n1,n4) )).++fof(axN51_35,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n1,n5) )).++fof(axN51_36,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n1,n6) )).++fof(axN51_37,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n1,n7) )).++fof(axN51_38,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n1,n8) )).++fof(axN51_39,axiom,+ ( p(n5,n1,n3)+ => ~ p(n5,n1,n9) )).++fof(axN51_45,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n1,n5) )).++fof(axN51_46,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n1,n6) )).++fof(axN51_47,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n1,n7) )).++fof(axN51_48,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n1,n8) )).++fof(axN51_49,axiom,+ ( p(n5,n1,n4)+ => ~ p(n5,n1,n9) )).++fof(axN51_56,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n1,n6) )).++fof(axN51_57,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n1,n7) )).++fof(axN51_58,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n1,n8) )).++fof(axN51_59,axiom,+ ( p(n5,n1,n5)+ => ~ p(n5,n1,n9) )).++fof(axN51_67,axiom,+ ( p(n5,n1,n6)+ => ~ p(n5,n1,n7) )).++fof(axN51_68,axiom,+ ( p(n5,n1,n6)+ => ~ p(n5,n1,n8) )).++fof(axN51_69,axiom,+ ( p(n5,n1,n6)+ => ~ p(n5,n1,n9) )).++fof(axN51_78,axiom,+ ( p(n5,n1,n7)+ => ~ p(n5,n1,n8) )).++fof(axN51_79,axiom,+ ( p(n5,n1,n7)+ => ~ p(n5,n1,n9) )).++fof(axN51_89,axiom,+ ( p(n5,n1,n8)+ => ~ p(n5,n1,n9) )).++fof(axN52_12,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n2,n2) )).++fof(axN52_13,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n2,n3) )).++fof(axN52_14,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n2,n4) )).++fof(axN52_15,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n2,n5) )).++fof(axN52_16,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n2,n6) )).++fof(axN52_17,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n2,n7) )).++fof(axN52_18,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n2,n8) )).++fof(axN52_19,axiom,+ ( p(n5,n2,n1)+ => ~ p(n5,n2,n9) )).++fof(axN52_23,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n2,n3) )).++fof(axN52_24,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n2,n4) )).++fof(axN52_25,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n2,n5) )).++fof(axN52_26,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n2,n6) )).++fof(axN52_27,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n2,n7) )).++fof(axN52_28,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n2,n8) )).++fof(axN52_29,axiom,+ ( p(n5,n2,n2)+ => ~ p(n5,n2,n9) )).++fof(axN52_34,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n2,n4) )).++fof(axN52_35,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n2,n5) )).++fof(axN52_36,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n2,n6) )).++fof(axN52_37,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n2,n7) )).++fof(axN52_38,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n2,n8) )).++fof(axN52_39,axiom,+ ( p(n5,n2,n3)+ => ~ p(n5,n2,n9) )).++fof(axN52_45,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n2,n5) )).++fof(axN52_46,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n2,n6) )).++fof(axN52_47,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n2,n7) )).++fof(axN52_48,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n2,n8) )).++fof(axN52_49,axiom,+ ( p(n5,n2,n4)+ => ~ p(n5,n2,n9) )).++fof(axN52_56,axiom,+ ( p(n5,n2,n5)+ => ~ p(n5,n2,n6) )).++fof(axN52_57,axiom,+ ( p(n5,n2,n5)+ => ~ p(n5,n2,n7) )).++fof(axN52_58,axiom,+ ( p(n5,n2,n5)+ => ~ p(n5,n2,n8) )).++fof(axN52_59,axiom,+ ( p(n5,n2,n5)+ => ~ p(n5,n2,n9) )).++fof(axN52_67,axiom,+ ( p(n5,n2,n6)+ => ~ p(n5,n2,n7) )).++fof(axN52_68,axiom,+ ( p(n5,n2,n6)+ => ~ p(n5,n2,n8) )).++fof(axN52_69,axiom,+ ( p(n5,n2,n6)+ => ~ p(n5,n2,n9) )).++fof(axN52_78,axiom,+ ( p(n5,n2,n7)+ => ~ p(n5,n2,n8) )).++fof(axN52_79,axiom,+ ( p(n5,n2,n7)+ => ~ p(n5,n2,n9) )).++fof(axN52_89,axiom,+ ( p(n5,n2,n8)+ => ~ p(n5,n2,n9) )).++fof(axN53_12,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n3,n2) )).++fof(axN53_13,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n3,n3) )).++fof(axN53_14,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n3,n4) )).++fof(axN53_15,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n3,n5) )).++fof(axN53_16,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n3,n6) )).++fof(axN53_17,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n3,n7) )).++fof(axN53_18,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n3,n8) )).++fof(axN53_19,axiom,+ ( p(n5,n3,n1)+ => ~ p(n5,n3,n9) )).++fof(axN53_23,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n3,n3) )).++fof(axN53_24,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n3,n4) )).++fof(axN53_25,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n3,n5) )).++fof(axN53_26,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n3,n6) )).++fof(axN53_27,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n3,n7) )).++fof(axN53_28,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n3,n8) )).++fof(axN53_29,axiom,+ ( p(n5,n3,n2)+ => ~ p(n5,n3,n9) )).++fof(axN53_34,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n3,n4) )).++fof(axN53_35,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n3,n5) )).++fof(axN53_36,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n3,n6) )).++fof(axN53_37,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n3,n7) )).++fof(axN53_38,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n3,n8) )).++fof(axN53_39,axiom,+ ( p(n5,n3,n3)+ => ~ p(n5,n3,n9) )).++fof(axN53_45,axiom,+ ( p(n5,n3,n4)+ => ~ p(n5,n3,n5) )).++fof(axN53_46,axiom,+ ( p(n5,n3,n4)+ => ~ p(n5,n3,n6) )).++fof(axN53_47,axiom,+ ( p(n5,n3,n4)+ => ~ p(n5,n3,n7) )).++fof(axN53_48,axiom,+ ( p(n5,n3,n4)+ => ~ p(n5,n3,n8) )).++fof(axN53_49,axiom,+ ( p(n5,n3,n4)+ => ~ p(n5,n3,n9) )).++fof(axN53_56,axiom,+ ( p(n5,n3,n5)+ => ~ p(n5,n3,n6) )).++fof(axN53_57,axiom,+ ( p(n5,n3,n5)+ => ~ p(n5,n3,n7) )).++fof(axN53_58,axiom,+ ( p(n5,n3,n5)+ => ~ p(n5,n3,n8) )).++fof(axN53_59,axiom,+ ( p(n5,n3,n5)+ => ~ p(n5,n3,n9) )).++fof(axN53_67,axiom,+ ( p(n5,n3,n6)+ => ~ p(n5,n3,n7) )).++fof(axN53_68,axiom,+ ( p(n5,n3,n6)+ => ~ p(n5,n3,n8) )).++fof(axN53_69,axiom,+ ( p(n5,n3,n6)+ => ~ p(n5,n3,n9) )).++fof(axN53_78,axiom,+ ( p(n5,n3,n7)+ => ~ p(n5,n3,n8) )).++fof(axN53_79,axiom,+ ( p(n5,n3,n7)+ => ~ p(n5,n3,n9) )).++fof(axN53_89,axiom,+ ( p(n5,n3,n8)+ => ~ p(n5,n3,n9) )).++fof(axN54_12,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n4,n2) )).++fof(axN54_13,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n4,n3) )).++fof(axN54_14,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n4,n4) )).++fof(axN54_15,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n4,n5) )).++fof(axN54_16,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n4,n6) )).++fof(axN54_17,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n4,n7) )).++fof(axN54_18,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n4,n8) )).++fof(axN54_19,axiom,+ ( p(n5,n4,n1)+ => ~ p(n5,n4,n9) )).++fof(axN54_23,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n4,n3) )).++fof(axN54_24,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n4,n4) )).++fof(axN54_25,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n4,n5) )).++fof(axN54_26,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n4,n6) )).++fof(axN54_27,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n4,n7) )).++fof(axN54_28,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n4,n8) )).++fof(axN54_29,axiom,+ ( p(n5,n4,n2)+ => ~ p(n5,n4,n9) )).++fof(axN54_34,axiom,+ ( p(n5,n4,n3)+ => ~ p(n5,n4,n4) )).++fof(axN54_35,axiom,+ ( p(n5,n4,n3)+ => ~ p(n5,n4,n5) )).++fof(axN54_36,axiom,+ ( p(n5,n4,n3)+ => ~ p(n5,n4,n6) )).++fof(axN54_37,axiom,+ ( p(n5,n4,n3)+ => ~ p(n5,n4,n7) )).++fof(axN54_38,axiom,+ ( p(n5,n4,n3)+ => ~ p(n5,n4,n8) )).++fof(axN54_39,axiom,+ ( p(n5,n4,n3)+ => ~ p(n5,n4,n9) )).++fof(axN54_45,axiom,+ ( p(n5,n4,n4)+ => ~ p(n5,n4,n5) )).++fof(axN54_46,axiom,+ ( p(n5,n4,n4)+ => ~ p(n5,n4,n6) )).++fof(axN54_47,axiom,+ ( p(n5,n4,n4)+ => ~ p(n5,n4,n7) )).++fof(axN54_48,axiom,+ ( p(n5,n4,n4)+ => ~ p(n5,n4,n8) )).++fof(axN54_49,axiom,+ ( p(n5,n4,n4)+ => ~ p(n5,n4,n9) )).++fof(axN54_56,axiom,+ ( p(n5,n4,n5)+ => ~ p(n5,n4,n6) )).++fof(axN54_57,axiom,+ ( p(n5,n4,n5)+ => ~ p(n5,n4,n7) )).++fof(axN54_58,axiom,+ ( p(n5,n4,n5)+ => ~ p(n5,n4,n8) )).++fof(axN54_59,axiom,+ ( p(n5,n4,n5)+ => ~ p(n5,n4,n9) )).++fof(axN54_67,axiom,+ ( p(n5,n4,n6)+ => ~ p(n5,n4,n7) )).++fof(axN54_68,axiom,+ ( p(n5,n4,n6)+ => ~ p(n5,n4,n8) )).++fof(axN54_69,axiom,+ ( p(n5,n4,n6)+ => ~ p(n5,n4,n9) )).++fof(axN54_78,axiom,+ ( p(n5,n4,n7)+ => ~ p(n5,n4,n8) )).++fof(axN54_79,axiom,+ ( p(n5,n4,n7)+ => ~ p(n5,n4,n9) )).++fof(axN54_89,axiom,+ ( p(n5,n4,n8)+ => ~ p(n5,n4,n9) )).++fof(axN55_12,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n5,n2) )).++fof(axN55_13,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n5,n3) )).++fof(axN55_14,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n5,n4) )).++fof(axN55_15,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n5,n5) )).++fof(axN55_16,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n5,n6) )).++fof(axN55_17,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n5,n7) )).++fof(axN55_18,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n5,n8) )).++fof(axN55_19,axiom,+ ( p(n5,n5,n1)+ => ~ p(n5,n5,n9) )).++fof(axN55_23,axiom,+ ( p(n5,n5,n2)+ => ~ p(n5,n5,n3) )).++fof(axN55_24,axiom,+ ( p(n5,n5,n2)+ => ~ p(n5,n5,n4) )).++fof(axN55_25,axiom,+ ( p(n5,n5,n2)+ => ~ p(n5,n5,n5) )).++fof(axN55_26,axiom,+ ( p(n5,n5,n2)+ => ~ p(n5,n5,n6) )).++fof(axN55_27,axiom,+ ( p(n5,n5,n2)+ => ~ p(n5,n5,n7) )).++fof(axN55_28,axiom,+ ( p(n5,n5,n2)+ => ~ p(n5,n5,n8) )).++fof(axN55_29,axiom,+ ( p(n5,n5,n2)+ => ~ p(n5,n5,n9) )).++fof(axN55_34,axiom,+ ( p(n5,n5,n3)+ => ~ p(n5,n5,n4) )).++fof(axN55_35,axiom,+ ( p(n5,n5,n3)+ => ~ p(n5,n5,n5) )).++fof(axN55_36,axiom,+ ( p(n5,n5,n3)+ => ~ p(n5,n5,n6) )).++fof(axN55_37,axiom,+ ( p(n5,n5,n3)+ => ~ p(n5,n5,n7) )).++fof(axN55_38,axiom,+ ( p(n5,n5,n3)+ => ~ p(n5,n5,n8) )).++fof(axN55_39,axiom,+ ( p(n5,n5,n3)+ => ~ p(n5,n5,n9) )).++fof(axN55_45,axiom,+ ( p(n5,n5,n4)+ => ~ p(n5,n5,n5) )).++fof(axN55_46,axiom,+ ( p(n5,n5,n4)+ => ~ p(n5,n5,n6) )).++fof(axN55_47,axiom,+ ( p(n5,n5,n4)+ => ~ p(n5,n5,n7) )).++fof(axN55_48,axiom,+ ( p(n5,n5,n4)+ => ~ p(n5,n5,n8) )).++fof(axN55_49,axiom,+ ( p(n5,n5,n4)+ => ~ p(n5,n5,n9) )).++fof(axN55_56,axiom,+ ( p(n5,n5,n5)+ => ~ p(n5,n5,n6) )).++fof(axN55_57,axiom,+ ( p(n5,n5,n5)+ => ~ p(n5,n5,n7) )).++fof(axN55_58,axiom,+ ( p(n5,n5,n5)+ => ~ p(n5,n5,n8) )).++fof(axN55_59,axiom,+ ( p(n5,n5,n5)+ => ~ p(n5,n5,n9) )).++fof(axN55_67,axiom,+ ( p(n5,n5,n6)+ => ~ p(n5,n5,n7) )).++fof(axN55_68,axiom,+ ( p(n5,n5,n6)+ => ~ p(n5,n5,n8) )).++fof(axN55_69,axiom,+ ( p(n5,n5,n6)+ => ~ p(n5,n5,n9) )).++fof(axN55_78,axiom,+ ( p(n5,n5,n7)+ => ~ p(n5,n5,n8) )).++fof(axN55_79,axiom,+ ( p(n5,n5,n7)+ => ~ p(n5,n5,n9) )).++fof(axN55_89,axiom,+ ( p(n5,n5,n8)+ => ~ p(n5,n5,n9) )).++fof(axN56_12,axiom,+ ( p(n5,n6,n1)+ => ~ p(n5,n6,n2) )).++fof(axN56_13,axiom,+ ( p(n5,n6,n1)+ => ~ p(n5,n6,n3) )).++fof(axN56_14,axiom,+ ( p(n5,n6,n1)+ => ~ p(n5,n6,n4) )).++fof(axN56_15,axiom,+ ( p(n5,n6,n1)+ => ~ p(n5,n6,n5) )).++fof(axN56_16,axiom,+ ( p(n5,n6,n1)+ => ~ p(n5,n6,n6) )).++fof(axN56_17,axiom,+ ( p(n5,n6,n1)+ => ~ p(n5,n6,n7) )).++fof(axN56_18,axiom,+ ( p(n5,n6,n1)+ => ~ p(n5,n6,n8) )).++fof(axN56_19,axiom,+ ( p(n5,n6,n1)+ => ~ p(n5,n6,n9) )).++fof(axN56_23,axiom,+ ( p(n5,n6,n2)+ => ~ p(n5,n6,n3) )).++fof(axN56_24,axiom,+ ( p(n5,n6,n2)+ => ~ p(n5,n6,n4) )).++fof(axN56_25,axiom,+ ( p(n5,n6,n2)+ => ~ p(n5,n6,n5) )).++fof(axN56_26,axiom,+ ( p(n5,n6,n2)+ => ~ p(n5,n6,n6) )).++fof(axN56_27,axiom,+ ( p(n5,n6,n2)+ => ~ p(n5,n6,n7) )).++fof(axN56_28,axiom,+ ( p(n5,n6,n2)+ => ~ p(n5,n6,n8) )).++fof(axN56_29,axiom,+ ( p(n5,n6,n2)+ => ~ p(n5,n6,n9) )).++fof(axN56_34,axiom,+ ( p(n5,n6,n3)+ => ~ p(n5,n6,n4) )).++fof(axN56_35,axiom,+ ( p(n5,n6,n3)+ => ~ p(n5,n6,n5) )).++fof(axN56_36,axiom,+ ( p(n5,n6,n3)+ => ~ p(n5,n6,n6) )).++fof(axN56_37,axiom,+ ( p(n5,n6,n3)+ => ~ p(n5,n6,n7) )).++fof(axN56_38,axiom,+ ( p(n5,n6,n3)+ => ~ p(n5,n6,n8) )).++fof(axN56_39,axiom,+ ( p(n5,n6,n3)+ => ~ p(n5,n6,n9) )).++fof(axN56_45,axiom,+ ( p(n5,n6,n4)+ => ~ p(n5,n6,n5) )).++fof(axN56_46,axiom,+ ( p(n5,n6,n4)+ => ~ p(n5,n6,n6) )).++fof(axN56_47,axiom,+ ( p(n5,n6,n4)+ => ~ p(n5,n6,n7) )).++fof(axN56_48,axiom,+ ( p(n5,n6,n4)+ => ~ p(n5,n6,n8) )).++fof(axN56_49,axiom,+ ( p(n5,n6,n4)+ => ~ p(n5,n6,n9) )).++fof(axN56_56,axiom,+ ( p(n5,n6,n5)+ => ~ p(n5,n6,n6) )).++fof(axN56_57,axiom,+ ( p(n5,n6,n5)+ => ~ p(n5,n6,n7) )).++fof(axN56_58,axiom,+ ( p(n5,n6,n5)+ => ~ p(n5,n6,n8) )).++fof(axN56_59,axiom,+ ( p(n5,n6,n5)+ => ~ p(n5,n6,n9) )).++fof(axN56_67,axiom,+ ( p(n5,n6,n6)+ => ~ p(n5,n6,n7) )).++fof(axN56_68,axiom,+ ( p(n5,n6,n6)+ => ~ p(n5,n6,n8) )).++fof(axN56_69,axiom,+ ( p(n5,n6,n6)+ => ~ p(n5,n6,n9) )).++fof(axN56_78,axiom,+ ( p(n5,n6,n7)+ => ~ p(n5,n6,n8) )).++fof(axN56_79,axiom,+ ( p(n5,n6,n7)+ => ~ p(n5,n6,n9) )).++fof(axN56_89,axiom,+ ( p(n5,n6,n8)+ => ~ p(n5,n6,n9) )).++fof(axN57_12,axiom,+ ( p(n5,n7,n1)+ => ~ p(n5,n7,n2) )).++fof(axN57_13,axiom,+ ( p(n5,n7,n1)+ => ~ p(n5,n7,n3) )).++fof(axN57_14,axiom,+ ( p(n5,n7,n1)+ => ~ p(n5,n7,n4) )).++fof(axN57_15,axiom,+ ( p(n5,n7,n1)+ => ~ p(n5,n7,n5) )).++fof(axN57_16,axiom,+ ( p(n5,n7,n1)+ => ~ p(n5,n7,n6) )).++fof(axN57_17,axiom,+ ( p(n5,n7,n1)+ => ~ p(n5,n7,n7) )).++fof(axN57_18,axiom,+ ( p(n5,n7,n1)+ => ~ p(n5,n7,n8) )).++fof(axN57_19,axiom,+ ( p(n5,n7,n1)+ => ~ p(n5,n7,n9) )).++fof(axN57_23,axiom,+ ( p(n5,n7,n2)+ => ~ p(n5,n7,n3) )).++fof(axN57_24,axiom,+ ( p(n5,n7,n2)+ => ~ p(n5,n7,n4) )).++fof(axN57_25,axiom,+ ( p(n5,n7,n2)+ => ~ p(n5,n7,n5) )).++fof(axN57_26,axiom,+ ( p(n5,n7,n2)+ => ~ p(n5,n7,n6) )).++fof(axN57_27,axiom,+ ( p(n5,n7,n2)+ => ~ p(n5,n7,n7) )).++fof(axN57_28,axiom,+ ( p(n5,n7,n2)+ => ~ p(n5,n7,n8) )).++fof(axN57_29,axiom,+ ( p(n5,n7,n2)+ => ~ p(n5,n7,n9) )).++fof(axN57_34,axiom,+ ( p(n5,n7,n3)+ => ~ p(n5,n7,n4) )).++fof(axN57_35,axiom,+ ( p(n5,n7,n3)+ => ~ p(n5,n7,n5) )).++fof(axN57_36,axiom,+ ( p(n5,n7,n3)+ => ~ p(n5,n7,n6) )).++fof(axN57_37,axiom,+ ( p(n5,n7,n3)+ => ~ p(n5,n7,n7) )).++fof(axN57_38,axiom,+ ( p(n5,n7,n3)+ => ~ p(n5,n7,n8) )).++fof(axN57_39,axiom,+ ( p(n5,n7,n3)+ => ~ p(n5,n7,n9) )).++fof(axN57_45,axiom,+ ( p(n5,n7,n4)+ => ~ p(n5,n7,n5) )).++fof(axN57_46,axiom,+ ( p(n5,n7,n4)+ => ~ p(n5,n7,n6) )).++fof(axN57_47,axiom,+ ( p(n5,n7,n4)+ => ~ p(n5,n7,n7) )).++fof(axN57_48,axiom,+ ( p(n5,n7,n4)+ => ~ p(n5,n7,n8) )).++fof(axN57_49,axiom,+ ( p(n5,n7,n4)+ => ~ p(n5,n7,n9) )).++fof(axN57_56,axiom,+ ( p(n5,n7,n5)+ => ~ p(n5,n7,n6) )).++fof(axN57_57,axiom,+ ( p(n5,n7,n5)+ => ~ p(n5,n7,n7) )).++fof(axN57_58,axiom,+ ( p(n5,n7,n5)+ => ~ p(n5,n7,n8) )).++fof(axN57_59,axiom,+ ( p(n5,n7,n5)+ => ~ p(n5,n7,n9) )).++fof(axN57_67,axiom,+ ( p(n5,n7,n6)+ => ~ p(n5,n7,n7) )).++fof(axN57_68,axiom,+ ( p(n5,n7,n6)+ => ~ p(n5,n7,n8) )).++fof(axN57_69,axiom,+ ( p(n5,n7,n6)+ => ~ p(n5,n7,n9) )).++fof(axN57_78,axiom,+ ( p(n5,n7,n7)+ => ~ p(n5,n7,n8) )).++fof(axN57_79,axiom,+ ( p(n5,n7,n7)+ => ~ p(n5,n7,n9) )).++fof(axN57_89,axiom,+ ( p(n5,n7,n8)+ => ~ p(n5,n7,n9) )).++fof(axN58_12,axiom,+ ( p(n5,n8,n1)+ => ~ p(n5,n8,n2) )).++fof(axN58_13,axiom,+ ( p(n5,n8,n1)+ => ~ p(n5,n8,n3) )).++fof(axN58_14,axiom,+ ( p(n5,n8,n1)+ => ~ p(n5,n8,n4) )).++fof(axN58_15,axiom,+ ( p(n5,n8,n1)+ => ~ p(n5,n8,n5) )).++fof(axN58_16,axiom,+ ( p(n5,n8,n1)+ => ~ p(n5,n8,n6) )).++fof(axN58_17,axiom,+ ( p(n5,n8,n1)+ => ~ p(n5,n8,n7) )).++fof(axN58_18,axiom,+ ( p(n5,n8,n1)+ => ~ p(n5,n8,n8) )).++fof(axN58_19,axiom,+ ( p(n5,n8,n1)+ => ~ p(n5,n8,n9) )).++fof(axN58_23,axiom,+ ( p(n5,n8,n2)+ => ~ p(n5,n8,n3) )).++fof(axN58_24,axiom,+ ( p(n5,n8,n2)+ => ~ p(n5,n8,n4) )).++fof(axN58_25,axiom,+ ( p(n5,n8,n2)+ => ~ p(n5,n8,n5) )).++fof(axN58_26,axiom,+ ( p(n5,n8,n2)+ => ~ p(n5,n8,n6) )).++fof(axN58_27,axiom,+ ( p(n5,n8,n2)+ => ~ p(n5,n8,n7) )).++fof(axN58_28,axiom,+ ( p(n5,n8,n2)+ => ~ p(n5,n8,n8) )).++fof(axN58_29,axiom,+ ( p(n5,n8,n2)+ => ~ p(n5,n8,n9) )).++fof(axN58_34,axiom,+ ( p(n5,n8,n3)+ => ~ p(n5,n8,n4) )).++fof(axN58_35,axiom,+ ( p(n5,n8,n3)+ => ~ p(n5,n8,n5) )).++fof(axN58_36,axiom,+ ( p(n5,n8,n3)+ => ~ p(n5,n8,n6) )).++fof(axN58_37,axiom,+ ( p(n5,n8,n3)+ => ~ p(n5,n8,n7) )).++fof(axN58_38,axiom,+ ( p(n5,n8,n3)+ => ~ p(n5,n8,n8) )).++fof(axN58_39,axiom,+ ( p(n5,n8,n3)+ => ~ p(n5,n8,n9) )).++fof(axN58_45,axiom,+ ( p(n5,n8,n4)+ => ~ p(n5,n8,n5) )).++fof(axN58_46,axiom,+ ( p(n5,n8,n4)+ => ~ p(n5,n8,n6) )).++fof(axN58_47,axiom,+ ( p(n5,n8,n4)+ => ~ p(n5,n8,n7) )).++fof(axN58_48,axiom,+ ( p(n5,n8,n4)+ => ~ p(n5,n8,n8) )).++fof(axN58_49,axiom,+ ( p(n5,n8,n4)+ => ~ p(n5,n8,n9) )).++fof(axN58_56,axiom,+ ( p(n5,n8,n5)+ => ~ p(n5,n8,n6) )).++fof(axN58_57,axiom,+ ( p(n5,n8,n5)+ => ~ p(n5,n8,n7) )).++fof(axN58_58,axiom,+ ( p(n5,n8,n5)+ => ~ p(n5,n8,n8) )).++fof(axN58_59,axiom,+ ( p(n5,n8,n5)+ => ~ p(n5,n8,n9) )).++fof(axN58_67,axiom,+ ( p(n5,n8,n6)+ => ~ p(n5,n8,n7) )).++fof(axN58_68,axiom,+ ( p(n5,n8,n6)+ => ~ p(n5,n8,n8) )).++fof(axN58_69,axiom,+ ( p(n5,n8,n6)+ => ~ p(n5,n8,n9) )).++fof(axN58_78,axiom,+ ( p(n5,n8,n7)+ => ~ p(n5,n8,n8) )).++fof(axN58_79,axiom,+ ( p(n5,n8,n7)+ => ~ p(n5,n8,n9) )).++fof(axN58_89,axiom,+ ( p(n5,n8,n8)+ => ~ p(n5,n8,n9) )).++fof(axN59_12,axiom,+ ( p(n5,n9,n1)+ => ~ p(n5,n9,n2) )).++fof(axN59_13,axiom,+ ( p(n5,n9,n1)+ => ~ p(n5,n9,n3) )).++fof(axN59_14,axiom,+ ( p(n5,n9,n1)+ => ~ p(n5,n9,n4) )).++fof(axN59_15,axiom,+ ( p(n5,n9,n1)+ => ~ p(n5,n9,n5) )).++fof(axN59_16,axiom,+ ( p(n5,n9,n1)+ => ~ p(n5,n9,n6) )).++fof(axN59_17,axiom,+ ( p(n5,n9,n1)+ => ~ p(n5,n9,n7) )).++fof(axN59_18,axiom,+ ( p(n5,n9,n1)+ => ~ p(n5,n9,n8) )).++fof(axN59_19,axiom,+ ( p(n5,n9,n1)+ => ~ p(n5,n9,n9) )).++fof(axN59_23,axiom,+ ( p(n5,n9,n2)+ => ~ p(n5,n9,n3) )).++fof(axN59_24,axiom,+ ( p(n5,n9,n2)+ => ~ p(n5,n9,n4) )).++fof(axN59_25,axiom,+ ( p(n5,n9,n2)+ => ~ p(n5,n9,n5) )).++fof(axN59_26,axiom,+ ( p(n5,n9,n2)+ => ~ p(n5,n9,n6) )).++fof(axN59_27,axiom,+ ( p(n5,n9,n2)+ => ~ p(n5,n9,n7) )).++fof(axN59_28,axiom,+ ( p(n5,n9,n2)+ => ~ p(n5,n9,n8) )).++fof(axN59_29,axiom,+ ( p(n5,n9,n2)+ => ~ p(n5,n9,n9) )).++fof(axN59_34,axiom,+ ( p(n5,n9,n3)+ => ~ p(n5,n9,n4) )).++fof(axN59_35,axiom,+ ( p(n5,n9,n3)+ => ~ p(n5,n9,n5) )).++fof(axN59_36,axiom,+ ( p(n5,n9,n3)+ => ~ p(n5,n9,n6) )).++fof(axN59_37,axiom,+ ( p(n5,n9,n3)+ => ~ p(n5,n9,n7) )).++fof(axN59_38,axiom,+ ( p(n5,n9,n3)+ => ~ p(n5,n9,n8) )).++fof(axN59_39,axiom,+ ( p(n5,n9,n3)+ => ~ p(n5,n9,n9) )).++fof(axN59_45,axiom,+ ( p(n5,n9,n4)+ => ~ p(n5,n9,n5) )).++fof(axN59_46,axiom,+ ( p(n5,n9,n4)+ => ~ p(n5,n9,n6) )).++fof(axN59_47,axiom,+ ( p(n5,n9,n4)+ => ~ p(n5,n9,n7) )).++fof(axN59_48,axiom,+ ( p(n5,n9,n4)+ => ~ p(n5,n9,n8) )).++fof(axN59_49,axiom,+ ( p(n5,n9,n4)+ => ~ p(n5,n9,n9) )).++fof(axN59_56,axiom,+ ( p(n5,n9,n5)+ => ~ p(n5,n9,n6) )).++fof(axN59_57,axiom,+ ( p(n5,n9,n5)+ => ~ p(n5,n9,n7) )).++fof(axN59_58,axiom,+ ( p(n5,n9,n5)+ => ~ p(n5,n9,n8) )).++fof(axN59_59,axiom,+ ( p(n5,n9,n5)+ => ~ p(n5,n9,n9) )).++fof(axN59_67,axiom,+ ( p(n5,n9,n6)+ => ~ p(n5,n9,n7) )).++fof(axN59_68,axiom,+ ( p(n5,n9,n6)+ => ~ p(n5,n9,n8) )).++fof(axN59_69,axiom,+ ( p(n5,n9,n6)+ => ~ p(n5,n9,n9) )).++fof(axN59_78,axiom,+ ( p(n5,n9,n7)+ => ~ p(n5,n9,n8) )).++fof(axN59_79,axiom,+ ( p(n5,n9,n7)+ => ~ p(n5,n9,n9) )).++fof(axN59_89,axiom,+ ( p(n5,n9,n8)+ => ~ p(n5,n9,n9) )).++fof(axN61_12,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n1,n2) )).++fof(axN61_13,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n1,n3) )).++fof(axN61_14,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n1,n4) )).++fof(axN61_15,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n1,n5) )).++fof(axN61_16,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n1,n6) )).++fof(axN61_17,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n1,n7) )).++fof(axN61_18,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n1,n8) )).++fof(axN61_19,axiom,+ ( p(n6,n1,n1)+ => ~ p(n6,n1,n9) )).++fof(axN61_23,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n1,n3) )).++fof(axN61_24,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n1,n4) )).++fof(axN61_25,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n1,n5) )).++fof(axN61_26,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n1,n6) )).++fof(axN61_27,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n1,n7) )).++fof(axN61_28,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n1,n8) )).++fof(axN61_29,axiom,+ ( p(n6,n1,n2)+ => ~ p(n6,n1,n9) )).++fof(axN61_34,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n1,n4) )).++fof(axN61_35,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n1,n5) )).++fof(axN61_36,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n1,n6) )).++fof(axN61_37,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n1,n7) )).++fof(axN61_38,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n1,n8) )).++fof(axN61_39,axiom,+ ( p(n6,n1,n3)+ => ~ p(n6,n1,n9) )).++fof(axN61_45,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n1,n5) )).++fof(axN61_46,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n1,n6) )).++fof(axN61_47,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n1,n7) )).++fof(axN61_48,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n1,n8) )).++fof(axN61_49,axiom,+ ( p(n6,n1,n4)+ => ~ p(n6,n1,n9) )).++fof(axN61_56,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n1,n6) )).++fof(axN61_57,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n1,n7) )).++fof(axN61_58,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n1,n8) )).++fof(axN61_59,axiom,+ ( p(n6,n1,n5)+ => ~ p(n6,n1,n9) )).++fof(axN61_67,axiom,+ ( p(n6,n1,n6)+ => ~ p(n6,n1,n7) )).++fof(axN61_68,axiom,+ ( p(n6,n1,n6)+ => ~ p(n6,n1,n8) )).++fof(axN61_69,axiom,+ ( p(n6,n1,n6)+ => ~ p(n6,n1,n9) )).++fof(axN61_78,axiom,+ ( p(n6,n1,n7)+ => ~ p(n6,n1,n8) )).++fof(axN61_79,axiom,+ ( p(n6,n1,n7)+ => ~ p(n6,n1,n9) )).++fof(axN61_89,axiom,+ ( p(n6,n1,n8)+ => ~ p(n6,n1,n9) )).++fof(axN62_12,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n2,n2) )).++fof(axN62_13,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n2,n3) )).++fof(axN62_14,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n2,n4) )).++fof(axN62_15,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n2,n5) )).++fof(axN62_16,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n2,n6) )).++fof(axN62_17,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n2,n7) )).++fof(axN62_18,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n2,n8) )).++fof(axN62_19,axiom,+ ( p(n6,n2,n1)+ => ~ p(n6,n2,n9) )).++fof(axN62_23,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n2,n3) )).++fof(axN62_24,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n2,n4) )).++fof(axN62_25,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n2,n5) )).++fof(axN62_26,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n2,n6) )).++fof(axN62_27,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n2,n7) )).++fof(axN62_28,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n2,n8) )).++fof(axN62_29,axiom,+ ( p(n6,n2,n2)+ => ~ p(n6,n2,n9) )).++fof(axN62_34,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n2,n4) )).++fof(axN62_35,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n2,n5) )).++fof(axN62_36,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n2,n6) )).++fof(axN62_37,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n2,n7) )).++fof(axN62_38,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n2,n8) )).++fof(axN62_39,axiom,+ ( p(n6,n2,n3)+ => ~ p(n6,n2,n9) )).++fof(axN62_45,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n2,n5) )).++fof(axN62_46,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n2,n6) )).++fof(axN62_47,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n2,n7) )).++fof(axN62_48,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n2,n8) )).++fof(axN62_49,axiom,+ ( p(n6,n2,n4)+ => ~ p(n6,n2,n9) )).++fof(axN62_56,axiom,+ ( p(n6,n2,n5)+ => ~ p(n6,n2,n6) )).++fof(axN62_57,axiom,+ ( p(n6,n2,n5)+ => ~ p(n6,n2,n7) )).++fof(axN62_58,axiom,+ ( p(n6,n2,n5)+ => ~ p(n6,n2,n8) )).++fof(axN62_59,axiom,+ ( p(n6,n2,n5)+ => ~ p(n6,n2,n9) )).++fof(axN62_67,axiom,+ ( p(n6,n2,n6)+ => ~ p(n6,n2,n7) )).++fof(axN62_68,axiom,+ ( p(n6,n2,n6)+ => ~ p(n6,n2,n8) )).++fof(axN62_69,axiom,+ ( p(n6,n2,n6)+ => ~ p(n6,n2,n9) )).++fof(axN62_78,axiom,+ ( p(n6,n2,n7)+ => ~ p(n6,n2,n8) )).++fof(axN62_79,axiom,+ ( p(n6,n2,n7)+ => ~ p(n6,n2,n9) )).++fof(axN62_89,axiom,+ ( p(n6,n2,n8)+ => ~ p(n6,n2,n9) )).++fof(axN63_12,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n3,n2) )).++fof(axN63_13,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n3,n3) )).++fof(axN63_14,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n3,n4) )).++fof(axN63_15,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n3,n5) )).++fof(axN63_16,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n3,n6) )).++fof(axN63_17,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n3,n7) )).++fof(axN63_18,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n3,n8) )).++fof(axN63_19,axiom,+ ( p(n6,n3,n1)+ => ~ p(n6,n3,n9) )).++fof(axN63_23,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n3,n3) )).++fof(axN63_24,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n3,n4) )).++fof(axN63_25,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n3,n5) )).++fof(axN63_26,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n3,n6) )).++fof(axN63_27,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n3,n7) )).++fof(axN63_28,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n3,n8) )).++fof(axN63_29,axiom,+ ( p(n6,n3,n2)+ => ~ p(n6,n3,n9) )).++fof(axN63_34,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n3,n4) )).++fof(axN63_35,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n3,n5) )).++fof(axN63_36,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n3,n6) )).++fof(axN63_37,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n3,n7) )).++fof(axN63_38,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n3,n8) )).++fof(axN63_39,axiom,+ ( p(n6,n3,n3)+ => ~ p(n6,n3,n9) )).++fof(axN63_45,axiom,+ ( p(n6,n3,n4)+ => ~ p(n6,n3,n5) )).++fof(axN63_46,axiom,+ ( p(n6,n3,n4)+ => ~ p(n6,n3,n6) )).++fof(axN63_47,axiom,+ ( p(n6,n3,n4)+ => ~ p(n6,n3,n7) )).++fof(axN63_48,axiom,+ ( p(n6,n3,n4)+ => ~ p(n6,n3,n8) )).++fof(axN63_49,axiom,+ ( p(n6,n3,n4)+ => ~ p(n6,n3,n9) )).++fof(axN63_56,axiom,+ ( p(n6,n3,n5)+ => ~ p(n6,n3,n6) )).++fof(axN63_57,axiom,+ ( p(n6,n3,n5)+ => ~ p(n6,n3,n7) )).++fof(axN63_58,axiom,+ ( p(n6,n3,n5)+ => ~ p(n6,n3,n8) )).++fof(axN63_59,axiom,+ ( p(n6,n3,n5)+ => ~ p(n6,n3,n9) )).++fof(axN63_67,axiom,+ ( p(n6,n3,n6)+ => ~ p(n6,n3,n7) )).++fof(axN63_68,axiom,+ ( p(n6,n3,n6)+ => ~ p(n6,n3,n8) )).++fof(axN63_69,axiom,+ ( p(n6,n3,n6)+ => ~ p(n6,n3,n9) )).++fof(axN63_78,axiom,+ ( p(n6,n3,n7)+ => ~ p(n6,n3,n8) )).++fof(axN63_79,axiom,+ ( p(n6,n3,n7)+ => ~ p(n6,n3,n9) )).++fof(axN63_89,axiom,+ ( p(n6,n3,n8)+ => ~ p(n6,n3,n9) )).++fof(axN64_12,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n4,n2) )).++fof(axN64_13,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n4,n3) )).++fof(axN64_14,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n4,n4) )).++fof(axN64_15,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n4,n5) )).++fof(axN64_16,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n4,n6) )).++fof(axN64_17,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n4,n7) )).++fof(axN64_18,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n4,n8) )).++fof(axN64_19,axiom,+ ( p(n6,n4,n1)+ => ~ p(n6,n4,n9) )).++fof(axN64_23,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n4,n3) )).++fof(axN64_24,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n4,n4) )).++fof(axN64_25,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n4,n5) )).++fof(axN64_26,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n4,n6) )).++fof(axN64_27,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n4,n7) )).++fof(axN64_28,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n4,n8) )).++fof(axN64_29,axiom,+ ( p(n6,n4,n2)+ => ~ p(n6,n4,n9) )).++fof(axN64_34,axiom,+ ( p(n6,n4,n3)+ => ~ p(n6,n4,n4) )).++fof(axN64_35,axiom,+ ( p(n6,n4,n3)+ => ~ p(n6,n4,n5) )).++fof(axN64_36,axiom,+ ( p(n6,n4,n3)+ => ~ p(n6,n4,n6) )).++fof(axN64_37,axiom,+ ( p(n6,n4,n3)+ => ~ p(n6,n4,n7) )).++fof(axN64_38,axiom,+ ( p(n6,n4,n3)+ => ~ p(n6,n4,n8) )).++fof(axN64_39,axiom,+ ( p(n6,n4,n3)+ => ~ p(n6,n4,n9) )).++fof(axN64_45,axiom,+ ( p(n6,n4,n4)+ => ~ p(n6,n4,n5) )).++fof(axN64_46,axiom,+ ( p(n6,n4,n4)+ => ~ p(n6,n4,n6) )).++fof(axN64_47,axiom,+ ( p(n6,n4,n4)+ => ~ p(n6,n4,n7) )).++fof(axN64_48,axiom,+ ( p(n6,n4,n4)+ => ~ p(n6,n4,n8) )).++fof(axN64_49,axiom,+ ( p(n6,n4,n4)+ => ~ p(n6,n4,n9) )).++fof(axN64_56,axiom,+ ( p(n6,n4,n5)+ => ~ p(n6,n4,n6) )).++fof(axN64_57,axiom,+ ( p(n6,n4,n5)+ => ~ p(n6,n4,n7) )).++fof(axN64_58,axiom,+ ( p(n6,n4,n5)+ => ~ p(n6,n4,n8) )).++fof(axN64_59,axiom,+ ( p(n6,n4,n5)+ => ~ p(n6,n4,n9) )).++fof(axN64_67,axiom,+ ( p(n6,n4,n6)+ => ~ p(n6,n4,n7) )).++fof(axN64_68,axiom,+ ( p(n6,n4,n6)+ => ~ p(n6,n4,n8) )).++fof(axN64_69,axiom,+ ( p(n6,n4,n6)+ => ~ p(n6,n4,n9) )).++fof(axN64_78,axiom,+ ( p(n6,n4,n7)+ => ~ p(n6,n4,n8) )).++fof(axN64_79,axiom,+ ( p(n6,n4,n7)+ => ~ p(n6,n4,n9) )).++fof(axN64_89,axiom,+ ( p(n6,n4,n8)+ => ~ p(n6,n4,n9) )).++fof(axN65_12,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n5,n2) )).++fof(axN65_13,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n5,n3) )).++fof(axN65_14,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n5,n4) )).++fof(axN65_15,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n5,n5) )).++fof(axN65_16,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n5,n6) )).++fof(axN65_17,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n5,n7) )).++fof(axN65_18,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n5,n8) )).++fof(axN65_19,axiom,+ ( p(n6,n5,n1)+ => ~ p(n6,n5,n9) )).++fof(axN65_23,axiom,+ ( p(n6,n5,n2)+ => ~ p(n6,n5,n3) )).++fof(axN65_24,axiom,+ ( p(n6,n5,n2)+ => ~ p(n6,n5,n4) )).++fof(axN65_25,axiom,+ ( p(n6,n5,n2)+ => ~ p(n6,n5,n5) )).++fof(axN65_26,axiom,+ ( p(n6,n5,n2)+ => ~ p(n6,n5,n6) )).++fof(axN65_27,axiom,+ ( p(n6,n5,n2)+ => ~ p(n6,n5,n7) )).++fof(axN65_28,axiom,+ ( p(n6,n5,n2)+ => ~ p(n6,n5,n8) )).++fof(axN65_29,axiom,+ ( p(n6,n5,n2)+ => ~ p(n6,n5,n9) )).++fof(axN65_34,axiom,+ ( p(n6,n5,n3)+ => ~ p(n6,n5,n4) )).++fof(axN65_35,axiom,+ ( p(n6,n5,n3)+ => ~ p(n6,n5,n5) )).++fof(axN65_36,axiom,+ ( p(n6,n5,n3)+ => ~ p(n6,n5,n6) )).++fof(axN65_37,axiom,+ ( p(n6,n5,n3)+ => ~ p(n6,n5,n7) )).++fof(axN65_38,axiom,+ ( p(n6,n5,n3)+ => ~ p(n6,n5,n8) )).++fof(axN65_39,axiom,+ ( p(n6,n5,n3)+ => ~ p(n6,n5,n9) )).++fof(axN65_45,axiom,+ ( p(n6,n5,n4)+ => ~ p(n6,n5,n5) )).++fof(axN65_46,axiom,+ ( p(n6,n5,n4)+ => ~ p(n6,n5,n6) )).++fof(axN65_47,axiom,+ ( p(n6,n5,n4)+ => ~ p(n6,n5,n7) )).++fof(axN65_48,axiom,+ ( p(n6,n5,n4)+ => ~ p(n6,n5,n8) )).++fof(axN65_49,axiom,+ ( p(n6,n5,n4)+ => ~ p(n6,n5,n9) )).++fof(axN65_56,axiom,+ ( p(n6,n5,n5)+ => ~ p(n6,n5,n6) )).++fof(axN65_57,axiom,+ ( p(n6,n5,n5)+ => ~ p(n6,n5,n7) )).++fof(axN65_58,axiom,+ ( p(n6,n5,n5)+ => ~ p(n6,n5,n8) )).++fof(axN65_59,axiom,+ ( p(n6,n5,n5)+ => ~ p(n6,n5,n9) )).++fof(axN65_67,axiom,+ ( p(n6,n5,n6)+ => ~ p(n6,n5,n7) )).++fof(axN65_68,axiom,+ ( p(n6,n5,n6)+ => ~ p(n6,n5,n8) )).++fof(axN65_69,axiom,+ ( p(n6,n5,n6)+ => ~ p(n6,n5,n9) )).++fof(axN65_78,axiom,+ ( p(n6,n5,n7)+ => ~ p(n6,n5,n8) )).++fof(axN65_79,axiom,+ ( p(n6,n5,n7)+ => ~ p(n6,n5,n9) )).++fof(axN65_89,axiom,+ ( p(n6,n5,n8)+ => ~ p(n6,n5,n9) )).++fof(axN66_12,axiom,+ ( p(n6,n6,n1)+ => ~ p(n6,n6,n2) )).++fof(axN66_13,axiom,+ ( p(n6,n6,n1)+ => ~ p(n6,n6,n3) )).++fof(axN66_14,axiom,+ ( p(n6,n6,n1)+ => ~ p(n6,n6,n4) )).++fof(axN66_15,axiom,+ ( p(n6,n6,n1)+ => ~ p(n6,n6,n5) )).++fof(axN66_16,axiom,+ ( p(n6,n6,n1)+ => ~ p(n6,n6,n6) )).++fof(axN66_17,axiom,+ ( p(n6,n6,n1)+ => ~ p(n6,n6,n7) )).++fof(axN66_18,axiom,+ ( p(n6,n6,n1)+ => ~ p(n6,n6,n8) )).++fof(axN66_19,axiom,+ ( p(n6,n6,n1)+ => ~ p(n6,n6,n9) )).++fof(axN66_23,axiom,+ ( p(n6,n6,n2)+ => ~ p(n6,n6,n3) )).++fof(axN66_24,axiom,+ ( p(n6,n6,n2)+ => ~ p(n6,n6,n4) )).++fof(axN66_25,axiom,+ ( p(n6,n6,n2)+ => ~ p(n6,n6,n5) )).++fof(axN66_26,axiom,+ ( p(n6,n6,n2)+ => ~ p(n6,n6,n6) )).++fof(axN66_27,axiom,+ ( p(n6,n6,n2)+ => ~ p(n6,n6,n7) )).++fof(axN66_28,axiom,+ ( p(n6,n6,n2)+ => ~ p(n6,n6,n8) )).++fof(axN66_29,axiom,+ ( p(n6,n6,n2)+ => ~ p(n6,n6,n9) )).++fof(axN66_34,axiom,+ ( p(n6,n6,n3)+ => ~ p(n6,n6,n4) )).++fof(axN66_35,axiom,+ ( p(n6,n6,n3)+ => ~ p(n6,n6,n5) )).++fof(axN66_36,axiom,+ ( p(n6,n6,n3)+ => ~ p(n6,n6,n6) )).++fof(axN66_37,axiom,+ ( p(n6,n6,n3)+ => ~ p(n6,n6,n7) )).++fof(axN66_38,axiom,+ ( p(n6,n6,n3)+ => ~ p(n6,n6,n8) )).++fof(axN66_39,axiom,+ ( p(n6,n6,n3)+ => ~ p(n6,n6,n9) )).++fof(axN66_45,axiom,+ ( p(n6,n6,n4)+ => ~ p(n6,n6,n5) )).++fof(axN66_46,axiom,+ ( p(n6,n6,n4)+ => ~ p(n6,n6,n6) )).++fof(axN66_47,axiom,+ ( p(n6,n6,n4)+ => ~ p(n6,n6,n7) )).++fof(axN66_48,axiom,+ ( p(n6,n6,n4)+ => ~ p(n6,n6,n8) )).++fof(axN66_49,axiom,+ ( p(n6,n6,n4)+ => ~ p(n6,n6,n9) )).++fof(axN66_56,axiom,+ ( p(n6,n6,n5)+ => ~ p(n6,n6,n6) )).++fof(axN66_57,axiom,+ ( p(n6,n6,n5)+ => ~ p(n6,n6,n7) )).++fof(axN66_58,axiom,+ ( p(n6,n6,n5)+ => ~ p(n6,n6,n8) )).++fof(axN66_59,axiom,+ ( p(n6,n6,n5)+ => ~ p(n6,n6,n9) )).++fof(axN66_67,axiom,+ ( p(n6,n6,n6)+ => ~ p(n6,n6,n7) )).++fof(axN66_68,axiom,+ ( p(n6,n6,n6)+ => ~ p(n6,n6,n8) )).++fof(axN66_69,axiom,+ ( p(n6,n6,n6)+ => ~ p(n6,n6,n9) )).++fof(axN66_78,axiom,+ ( p(n6,n6,n7)+ => ~ p(n6,n6,n8) )).++fof(axN66_79,axiom,+ ( p(n6,n6,n7)+ => ~ p(n6,n6,n9) )).++fof(axN66_89,axiom,+ ( p(n6,n6,n8)+ => ~ p(n6,n6,n9) )).++fof(axN67_12,axiom,+ ( p(n6,n7,n1)+ => ~ p(n6,n7,n2) )).++fof(axN67_13,axiom,+ ( p(n6,n7,n1)+ => ~ p(n6,n7,n3) )).++fof(axN67_14,axiom,+ ( p(n6,n7,n1)+ => ~ p(n6,n7,n4) )).++fof(axN67_15,axiom,+ ( p(n6,n7,n1)+ => ~ p(n6,n7,n5) )).++fof(axN67_16,axiom,+ ( p(n6,n7,n1)+ => ~ p(n6,n7,n6) )).++fof(axN67_17,axiom,+ ( p(n6,n7,n1)+ => ~ p(n6,n7,n7) )).++fof(axN67_18,axiom,+ ( p(n6,n7,n1)+ => ~ p(n6,n7,n8) )).++fof(axN67_19,axiom,+ ( p(n6,n7,n1)+ => ~ p(n6,n7,n9) )).++fof(axN67_23,axiom,+ ( p(n6,n7,n2)+ => ~ p(n6,n7,n3) )).++fof(axN67_24,axiom,+ ( p(n6,n7,n2)+ => ~ p(n6,n7,n4) )).++fof(axN67_25,axiom,+ ( p(n6,n7,n2)+ => ~ p(n6,n7,n5) )).++fof(axN67_26,axiom,+ ( p(n6,n7,n2)+ => ~ p(n6,n7,n6) )).++fof(axN67_27,axiom,+ ( p(n6,n7,n2)+ => ~ p(n6,n7,n7) )).++fof(axN67_28,axiom,+ ( p(n6,n7,n2)+ => ~ p(n6,n7,n8) )).++fof(axN67_29,axiom,+ ( p(n6,n7,n2)+ => ~ p(n6,n7,n9) )).++fof(axN67_34,axiom,+ ( p(n6,n7,n3)+ => ~ p(n6,n7,n4) )).++fof(axN67_35,axiom,+ ( p(n6,n7,n3)+ => ~ p(n6,n7,n5) )).++fof(axN67_36,axiom,+ ( p(n6,n7,n3)+ => ~ p(n6,n7,n6) )).++fof(axN67_37,axiom,+ ( p(n6,n7,n3)+ => ~ p(n6,n7,n7) )).++fof(axN67_38,axiom,+ ( p(n6,n7,n3)+ => ~ p(n6,n7,n8) )).++fof(axN67_39,axiom,+ ( p(n6,n7,n3)+ => ~ p(n6,n7,n9) )).++fof(axN67_45,axiom,+ ( p(n6,n7,n4)+ => ~ p(n6,n7,n5) )).++fof(axN67_46,axiom,+ ( p(n6,n7,n4)+ => ~ p(n6,n7,n6) )).++fof(axN67_47,axiom,+ ( p(n6,n7,n4)+ => ~ p(n6,n7,n7) )).++fof(axN67_48,axiom,+ ( p(n6,n7,n4)+ => ~ p(n6,n7,n8) )).++fof(axN67_49,axiom,+ ( p(n6,n7,n4)+ => ~ p(n6,n7,n9) )).++fof(axN67_56,axiom,+ ( p(n6,n7,n5)+ => ~ p(n6,n7,n6) )).++fof(axN67_57,axiom,+ ( p(n6,n7,n5)+ => ~ p(n6,n7,n7) )).++fof(axN67_58,axiom,+ ( p(n6,n7,n5)+ => ~ p(n6,n7,n8) )).++fof(axN67_59,axiom,+ ( p(n6,n7,n5)+ => ~ p(n6,n7,n9) )).++fof(axN67_67,axiom,+ ( p(n6,n7,n6)+ => ~ p(n6,n7,n7) )).++fof(axN67_68,axiom,+ ( p(n6,n7,n6)+ => ~ p(n6,n7,n8) )).++fof(axN67_69,axiom,+ ( p(n6,n7,n6)+ => ~ p(n6,n7,n9) )).++fof(axN67_78,axiom,+ ( p(n6,n7,n7)+ => ~ p(n6,n7,n8) )).++fof(axN67_79,axiom,+ ( p(n6,n7,n7)+ => ~ p(n6,n7,n9) )).++fof(axN67_89,axiom,+ ( p(n6,n7,n8)+ => ~ p(n6,n7,n9) )).++fof(axN68_12,axiom,+ ( p(n6,n8,n1)+ => ~ p(n6,n8,n2) )).++fof(axN68_13,axiom,+ ( p(n6,n8,n1)+ => ~ p(n6,n8,n3) )).++fof(axN68_14,axiom,+ ( p(n6,n8,n1)+ => ~ p(n6,n8,n4) )).++fof(axN68_15,axiom,+ ( p(n6,n8,n1)+ => ~ p(n6,n8,n5) )).++fof(axN68_16,axiom,+ ( p(n6,n8,n1)+ => ~ p(n6,n8,n6) )).++fof(axN68_17,axiom,+ ( p(n6,n8,n1)+ => ~ p(n6,n8,n7) )).++fof(axN68_18,axiom,+ ( p(n6,n8,n1)+ => ~ p(n6,n8,n8) )).++fof(axN68_19,axiom,+ ( p(n6,n8,n1)+ => ~ p(n6,n8,n9) )).++fof(axN68_23,axiom,+ ( p(n6,n8,n2)+ => ~ p(n6,n8,n3) )).++fof(axN68_24,axiom,+ ( p(n6,n8,n2)+ => ~ p(n6,n8,n4) )).++fof(axN68_25,axiom,+ ( p(n6,n8,n2)+ => ~ p(n6,n8,n5) )).++fof(axN68_26,axiom,+ ( p(n6,n8,n2)+ => ~ p(n6,n8,n6) )).++fof(axN68_27,axiom,+ ( p(n6,n8,n2)+ => ~ p(n6,n8,n7) )).++fof(axN68_28,axiom,+ ( p(n6,n8,n2)+ => ~ p(n6,n8,n8) )).++fof(axN68_29,axiom,+ ( p(n6,n8,n2)+ => ~ p(n6,n8,n9) )).++fof(axN68_34,axiom,+ ( p(n6,n8,n3)+ => ~ p(n6,n8,n4) )).++fof(axN68_35,axiom,+ ( p(n6,n8,n3)+ => ~ p(n6,n8,n5) )).++fof(axN68_36,axiom,+ ( p(n6,n8,n3)+ => ~ p(n6,n8,n6) )).++fof(axN68_37,axiom,+ ( p(n6,n8,n3)+ => ~ p(n6,n8,n7) )).++fof(axN68_38,axiom,+ ( p(n6,n8,n3)+ => ~ p(n6,n8,n8) )).++fof(axN68_39,axiom,+ ( p(n6,n8,n3)+ => ~ p(n6,n8,n9) )).++fof(axN68_45,axiom,+ ( p(n6,n8,n4)+ => ~ p(n6,n8,n5) )).++fof(axN68_46,axiom,+ ( p(n6,n8,n4)+ => ~ p(n6,n8,n6) )).++fof(axN68_47,axiom,+ ( p(n6,n8,n4)+ => ~ p(n6,n8,n7) )).++fof(axN68_48,axiom,+ ( p(n6,n8,n4)+ => ~ p(n6,n8,n8) )).++fof(axN68_49,axiom,+ ( p(n6,n8,n4)+ => ~ p(n6,n8,n9) )).++fof(axN68_56,axiom,+ ( p(n6,n8,n5)+ => ~ p(n6,n8,n6) )).++fof(axN68_57,axiom,+ ( p(n6,n8,n5)+ => ~ p(n6,n8,n7) )).++fof(axN68_58,axiom,+ ( p(n6,n8,n5)+ => ~ p(n6,n8,n8) )).++fof(axN68_59,axiom,+ ( p(n6,n8,n5)+ => ~ p(n6,n8,n9) )).++fof(axN68_67,axiom,+ ( p(n6,n8,n6)+ => ~ p(n6,n8,n7) )).++fof(axN68_68,axiom,+ ( p(n6,n8,n6)+ => ~ p(n6,n8,n8) )).++fof(axN68_69,axiom,+ ( p(n6,n8,n6)+ => ~ p(n6,n8,n9) )).++fof(axN68_78,axiom,+ ( p(n6,n8,n7)+ => ~ p(n6,n8,n8) )).++fof(axN68_79,axiom,+ ( p(n6,n8,n7)+ => ~ p(n6,n8,n9) )).++fof(axN68_89,axiom,+ ( p(n6,n8,n8)+ => ~ p(n6,n8,n9) )).++fof(axN69_12,axiom,+ ( p(n6,n9,n1)+ => ~ p(n6,n9,n2) )).++fof(axN69_13,axiom,+ ( p(n6,n9,n1)+ => ~ p(n6,n9,n3) )).++fof(axN69_14,axiom,+ ( p(n6,n9,n1)+ => ~ p(n6,n9,n4) )).++fof(axN69_15,axiom,+ ( p(n6,n9,n1)+ => ~ p(n6,n9,n5) )).++fof(axN69_16,axiom,+ ( p(n6,n9,n1)+ => ~ p(n6,n9,n6) )).++fof(axN69_17,axiom,+ ( p(n6,n9,n1)+ => ~ p(n6,n9,n7) )).++fof(axN69_18,axiom,+ ( p(n6,n9,n1)+ => ~ p(n6,n9,n8) )).++fof(axN69_19,axiom,+ ( p(n6,n9,n1)+ => ~ p(n6,n9,n9) )).++fof(axN69_23,axiom,+ ( p(n6,n9,n2)+ => ~ p(n6,n9,n3) )).++fof(axN69_24,axiom,+ ( p(n6,n9,n2)+ => ~ p(n6,n9,n4) )).++fof(axN69_25,axiom,+ ( p(n6,n9,n2)+ => ~ p(n6,n9,n5) )).++fof(axN69_26,axiom,+ ( p(n6,n9,n2)+ => ~ p(n6,n9,n6) )).++fof(axN69_27,axiom,+ ( p(n6,n9,n2)+ => ~ p(n6,n9,n7) )).++fof(axN69_28,axiom,+ ( p(n6,n9,n2)+ => ~ p(n6,n9,n8) )).++fof(axN69_29,axiom,+ ( p(n6,n9,n2)+ => ~ p(n6,n9,n9) )).++fof(axN69_34,axiom,+ ( p(n6,n9,n3)+ => ~ p(n6,n9,n4) )).++fof(axN69_35,axiom,+ ( p(n6,n9,n3)+ => ~ p(n6,n9,n5) )).++fof(axN69_36,axiom,+ ( p(n6,n9,n3)+ => ~ p(n6,n9,n6) )).++fof(axN69_37,axiom,+ ( p(n6,n9,n3)+ => ~ p(n6,n9,n7) )).++fof(axN69_38,axiom,+ ( p(n6,n9,n3)+ => ~ p(n6,n9,n8) )).++fof(axN69_39,axiom,+ ( p(n6,n9,n3)+ => ~ p(n6,n9,n9) )).++fof(axN69_45,axiom,+ ( p(n6,n9,n4)+ => ~ p(n6,n9,n5) )).++fof(axN69_46,axiom,+ ( p(n6,n9,n4)+ => ~ p(n6,n9,n6) )).++fof(axN69_47,axiom,+ ( p(n6,n9,n4)+ => ~ p(n6,n9,n7) )).++fof(axN69_48,axiom,+ ( p(n6,n9,n4)+ => ~ p(n6,n9,n8) )).++fof(axN69_49,axiom,+ ( p(n6,n9,n4)+ => ~ p(n6,n9,n9) )).++fof(axN69_56,axiom,+ ( p(n6,n9,n5)+ => ~ p(n6,n9,n6) )).++fof(axN69_57,axiom,+ ( p(n6,n9,n5)+ => ~ p(n6,n9,n7) )).++fof(axN69_58,axiom,+ ( p(n6,n9,n5)+ => ~ p(n6,n9,n8) )).++fof(axN69_59,axiom,+ ( p(n6,n9,n5)+ => ~ p(n6,n9,n9) )).++fof(axN69_67,axiom,+ ( p(n6,n9,n6)+ => ~ p(n6,n9,n7) )).++fof(axN69_68,axiom,+ ( p(n6,n9,n6)+ => ~ p(n6,n9,n8) )).++fof(axN69_69,axiom,+ ( p(n6,n9,n6)+ => ~ p(n6,n9,n9) )).++fof(axN69_78,axiom,+ ( p(n6,n9,n7)+ => ~ p(n6,n9,n8) )).++fof(axN69_79,axiom,+ ( p(n6,n9,n7)+ => ~ p(n6,n9,n9) )).++fof(axN69_89,axiom,+ ( p(n6,n9,n8)+ => ~ p(n6,n9,n9) )).++fof(axN71_12,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n1,n2) )).++fof(axN71_13,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n1,n3) )).++fof(axN71_14,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n1,n4) )).++fof(axN71_15,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n1,n5) )).++fof(axN71_16,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n1,n6) )).++fof(axN71_17,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n1,n7) )).++fof(axN71_18,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n1,n8) )).++fof(axN71_19,axiom,+ ( p(n7,n1,n1)+ => ~ p(n7,n1,n9) )).++fof(axN71_23,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n1,n3) )).++fof(axN71_24,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n1,n4) )).++fof(axN71_25,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n1,n5) )).++fof(axN71_26,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n1,n6) )).++fof(axN71_27,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n1,n7) )).++fof(axN71_28,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n1,n8) )).++fof(axN71_29,axiom,+ ( p(n7,n1,n2)+ => ~ p(n7,n1,n9) )).++fof(axN71_34,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n1,n4) )).++fof(axN71_35,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n1,n5) )).++fof(axN71_36,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n1,n6) )).++fof(axN71_37,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n1,n7) )).++fof(axN71_38,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n1,n8) )).++fof(axN71_39,axiom,+ ( p(n7,n1,n3)+ => ~ p(n7,n1,n9) )).++fof(axN71_45,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n1,n5) )).++fof(axN71_46,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n1,n6) )).++fof(axN71_47,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n1,n7) )).++fof(axN71_48,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n1,n8) )).++fof(axN71_49,axiom,+ ( p(n7,n1,n4)+ => ~ p(n7,n1,n9) )).++fof(axN71_56,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n1,n6) )).++fof(axN71_57,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n1,n7) )).++fof(axN71_58,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n1,n8) )).++fof(axN71_59,axiom,+ ( p(n7,n1,n5)+ => ~ p(n7,n1,n9) )).++fof(axN71_67,axiom,+ ( p(n7,n1,n6)+ => ~ p(n7,n1,n7) )).++fof(axN71_68,axiom,+ ( p(n7,n1,n6)+ => ~ p(n7,n1,n8) )).++fof(axN71_69,axiom,+ ( p(n7,n1,n6)+ => ~ p(n7,n1,n9) )).++fof(axN71_78,axiom,+ ( p(n7,n1,n7)+ => ~ p(n7,n1,n8) )).++fof(axN71_79,axiom,+ ( p(n7,n1,n7)+ => ~ p(n7,n1,n9) )).++fof(axN71_89,axiom,+ ( p(n7,n1,n8)+ => ~ p(n7,n1,n9) )).++fof(axN72_12,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n2,n2) )).++fof(axN72_13,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n2,n3) )).++fof(axN72_14,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n2,n4) )).++fof(axN72_15,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n2,n5) )).++fof(axN72_16,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n2,n6) )).++fof(axN72_17,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n2,n7) )).++fof(axN72_18,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n2,n8) )).++fof(axN72_19,axiom,+ ( p(n7,n2,n1)+ => ~ p(n7,n2,n9) )).++fof(axN72_23,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n2,n3) )).++fof(axN72_24,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n2,n4) )).++fof(axN72_25,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n2,n5) )).++fof(axN72_26,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n2,n6) )).++fof(axN72_27,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n2,n7) )).++fof(axN72_28,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n2,n8) )).++fof(axN72_29,axiom,+ ( p(n7,n2,n2)+ => ~ p(n7,n2,n9) )).++fof(axN72_34,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n2,n4) )).++fof(axN72_35,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n2,n5) )).++fof(axN72_36,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n2,n6) )).++fof(axN72_37,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n2,n7) )).++fof(axN72_38,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n2,n8) )).++fof(axN72_39,axiom,+ ( p(n7,n2,n3)+ => ~ p(n7,n2,n9) )).++fof(axN72_45,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n2,n5) )).++fof(axN72_46,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n2,n6) )).++fof(axN72_47,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n2,n7) )).++fof(axN72_48,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n2,n8) )).++fof(axN72_49,axiom,+ ( p(n7,n2,n4)+ => ~ p(n7,n2,n9) )).++fof(axN72_56,axiom,+ ( p(n7,n2,n5)+ => ~ p(n7,n2,n6) )).++fof(axN72_57,axiom,+ ( p(n7,n2,n5)+ => ~ p(n7,n2,n7) )).++fof(axN72_58,axiom,+ ( p(n7,n2,n5)+ => ~ p(n7,n2,n8) )).++fof(axN72_59,axiom,+ ( p(n7,n2,n5)+ => ~ p(n7,n2,n9) )).++fof(axN72_67,axiom,+ ( p(n7,n2,n6)+ => ~ p(n7,n2,n7) )).++fof(axN72_68,axiom,+ ( p(n7,n2,n6)+ => ~ p(n7,n2,n8) )).++fof(axN72_69,axiom,+ ( p(n7,n2,n6)+ => ~ p(n7,n2,n9) )).++fof(axN72_78,axiom,+ ( p(n7,n2,n7)+ => ~ p(n7,n2,n8) )).++fof(axN72_79,axiom,+ ( p(n7,n2,n7)+ => ~ p(n7,n2,n9) )).++fof(axN72_89,axiom,+ ( p(n7,n2,n8)+ => ~ p(n7,n2,n9) )).++fof(axN73_12,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n3,n2) )).++fof(axN73_13,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n3,n3) )).++fof(axN73_14,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n3,n4) )).++fof(axN73_15,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n3,n5) )).++fof(axN73_16,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n3,n6) )).++fof(axN73_17,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n3,n7) )).++fof(axN73_18,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n3,n8) )).++fof(axN73_19,axiom,+ ( p(n7,n3,n1)+ => ~ p(n7,n3,n9) )).++fof(axN73_23,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n3,n3) )).++fof(axN73_24,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n3,n4) )).++fof(axN73_25,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n3,n5) )).++fof(axN73_26,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n3,n6) )).++fof(axN73_27,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n3,n7) )).++fof(axN73_28,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n3,n8) )).++fof(axN73_29,axiom,+ ( p(n7,n3,n2)+ => ~ p(n7,n3,n9) )).++fof(axN73_34,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n3,n4) )).++fof(axN73_35,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n3,n5) )).++fof(axN73_36,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n3,n6) )).++fof(axN73_37,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n3,n7) )).++fof(axN73_38,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n3,n8) )).++fof(axN73_39,axiom,+ ( p(n7,n3,n3)+ => ~ p(n7,n3,n9) )).++fof(axN73_45,axiom,+ ( p(n7,n3,n4)+ => ~ p(n7,n3,n5) )).++fof(axN73_46,axiom,+ ( p(n7,n3,n4)+ => ~ p(n7,n3,n6) )).++fof(axN73_47,axiom,+ ( p(n7,n3,n4)+ => ~ p(n7,n3,n7) )).++fof(axN73_48,axiom,+ ( p(n7,n3,n4)+ => ~ p(n7,n3,n8) )).++fof(axN73_49,axiom,+ ( p(n7,n3,n4)+ => ~ p(n7,n3,n9) )).++fof(axN73_56,axiom,+ ( p(n7,n3,n5)+ => ~ p(n7,n3,n6) )).++fof(axN73_57,axiom,+ ( p(n7,n3,n5)+ => ~ p(n7,n3,n7) )).++fof(axN73_58,axiom,+ ( p(n7,n3,n5)+ => ~ p(n7,n3,n8) )).++fof(axN73_59,axiom,+ ( p(n7,n3,n5)+ => ~ p(n7,n3,n9) )).++fof(axN73_67,axiom,+ ( p(n7,n3,n6)+ => ~ p(n7,n3,n7) )).++fof(axN73_68,axiom,+ ( p(n7,n3,n6)+ => ~ p(n7,n3,n8) )).++fof(axN73_69,axiom,+ ( p(n7,n3,n6)+ => ~ p(n7,n3,n9) )).++fof(axN73_78,axiom,+ ( p(n7,n3,n7)+ => ~ p(n7,n3,n8) )).++fof(axN73_79,axiom,+ ( p(n7,n3,n7)+ => ~ p(n7,n3,n9) )).++fof(axN73_89,axiom,+ ( p(n7,n3,n8)+ => ~ p(n7,n3,n9) )).++fof(axN74_12,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n4,n2) )).++fof(axN74_13,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n4,n3) )).++fof(axN74_14,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n4,n4) )).++fof(axN74_15,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n4,n5) )).++fof(axN74_16,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n4,n6) )).++fof(axN74_17,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n4,n7) )).++fof(axN74_18,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n4,n8) )).++fof(axN74_19,axiom,+ ( p(n7,n4,n1)+ => ~ p(n7,n4,n9) )).++fof(axN74_23,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n4,n3) )).++fof(axN74_24,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n4,n4) )).++fof(axN74_25,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n4,n5) )).++fof(axN74_26,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n4,n6) )).++fof(axN74_27,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n4,n7) )).++fof(axN74_28,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n4,n8) )).++fof(axN74_29,axiom,+ ( p(n7,n4,n2)+ => ~ p(n7,n4,n9) )).++fof(axN74_34,axiom,+ ( p(n7,n4,n3)+ => ~ p(n7,n4,n4) )).++fof(axN74_35,axiom,+ ( p(n7,n4,n3)+ => ~ p(n7,n4,n5) )).++fof(axN74_36,axiom,+ ( p(n7,n4,n3)+ => ~ p(n7,n4,n6) )).++fof(axN74_37,axiom,+ ( p(n7,n4,n3)+ => ~ p(n7,n4,n7) )).++fof(axN74_38,axiom,+ ( p(n7,n4,n3)+ => ~ p(n7,n4,n8) )).++fof(axN74_39,axiom,+ ( p(n7,n4,n3)+ => ~ p(n7,n4,n9) )).++fof(axN74_45,axiom,+ ( p(n7,n4,n4)+ => ~ p(n7,n4,n5) )).++fof(axN74_46,axiom,+ ( p(n7,n4,n4)+ => ~ p(n7,n4,n6) )).++fof(axN74_47,axiom,+ ( p(n7,n4,n4)+ => ~ p(n7,n4,n7) )).++fof(axN74_48,axiom,+ ( p(n7,n4,n4)+ => ~ p(n7,n4,n8) )).++fof(axN74_49,axiom,+ ( p(n7,n4,n4)+ => ~ p(n7,n4,n9) )).++fof(axN74_56,axiom,+ ( p(n7,n4,n5)+ => ~ p(n7,n4,n6) )).++fof(axN74_57,axiom,+ ( p(n7,n4,n5)+ => ~ p(n7,n4,n7) )).++fof(axN74_58,axiom,+ ( p(n7,n4,n5)+ => ~ p(n7,n4,n8) )).++fof(axN74_59,axiom,+ ( p(n7,n4,n5)+ => ~ p(n7,n4,n9) )).++fof(axN74_67,axiom,+ ( p(n7,n4,n6)+ => ~ p(n7,n4,n7) )).++fof(axN74_68,axiom,+ ( p(n7,n4,n6)+ => ~ p(n7,n4,n8) )).++fof(axN74_69,axiom,+ ( p(n7,n4,n6)+ => ~ p(n7,n4,n9) )).++fof(axN74_78,axiom,+ ( p(n7,n4,n7)+ => ~ p(n7,n4,n8) )).++fof(axN74_79,axiom,+ ( p(n7,n4,n7)+ => ~ p(n7,n4,n9) )).++fof(axN74_89,axiom,+ ( p(n7,n4,n8)+ => ~ p(n7,n4,n9) )).++fof(axN75_12,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n5,n2) )).++fof(axN75_13,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n5,n3) )).++fof(axN75_14,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n5,n4) )).++fof(axN75_15,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n5,n5) )).++fof(axN75_16,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n5,n6) )).++fof(axN75_17,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n5,n7) )).++fof(axN75_18,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n5,n8) )).++fof(axN75_19,axiom,+ ( p(n7,n5,n1)+ => ~ p(n7,n5,n9) )).++fof(axN75_23,axiom,+ ( p(n7,n5,n2)+ => ~ p(n7,n5,n3) )).++fof(axN75_24,axiom,+ ( p(n7,n5,n2)+ => ~ p(n7,n5,n4) )).++fof(axN75_25,axiom,+ ( p(n7,n5,n2)+ => ~ p(n7,n5,n5) )).++fof(axN75_26,axiom,+ ( p(n7,n5,n2)+ => ~ p(n7,n5,n6) )).++fof(axN75_27,axiom,+ ( p(n7,n5,n2)+ => ~ p(n7,n5,n7) )).++fof(axN75_28,axiom,+ ( p(n7,n5,n2)+ => ~ p(n7,n5,n8) )).++fof(axN75_29,axiom,+ ( p(n7,n5,n2)+ => ~ p(n7,n5,n9) )).++fof(axN75_34,axiom,+ ( p(n7,n5,n3)+ => ~ p(n7,n5,n4) )).++fof(axN75_35,axiom,+ ( p(n7,n5,n3)+ => ~ p(n7,n5,n5) )).++fof(axN75_36,axiom,+ ( p(n7,n5,n3)+ => ~ p(n7,n5,n6) )).++fof(axN75_37,axiom,+ ( p(n7,n5,n3)+ => ~ p(n7,n5,n7) )).++fof(axN75_38,axiom,+ ( p(n7,n5,n3)+ => ~ p(n7,n5,n8) )).++fof(axN75_39,axiom,+ ( p(n7,n5,n3)+ => ~ p(n7,n5,n9) )).++fof(axN75_45,axiom,+ ( p(n7,n5,n4)+ => ~ p(n7,n5,n5) )).++fof(axN75_46,axiom,+ ( p(n7,n5,n4)+ => ~ p(n7,n5,n6) )).++fof(axN75_47,axiom,+ ( p(n7,n5,n4)+ => ~ p(n7,n5,n7) )).++fof(axN75_48,axiom,+ ( p(n7,n5,n4)+ => ~ p(n7,n5,n8) )).++fof(axN75_49,axiom,+ ( p(n7,n5,n4)+ => ~ p(n7,n5,n9) )).++fof(axN75_56,axiom,+ ( p(n7,n5,n5)+ => ~ p(n7,n5,n6) )).++fof(axN75_57,axiom,+ ( p(n7,n5,n5)+ => ~ p(n7,n5,n7) )).++fof(axN75_58,axiom,+ ( p(n7,n5,n5)+ => ~ p(n7,n5,n8) )).++fof(axN75_59,axiom,+ ( p(n7,n5,n5)+ => ~ p(n7,n5,n9) )).++fof(axN75_67,axiom,+ ( p(n7,n5,n6)+ => ~ p(n7,n5,n7) )).++fof(axN75_68,axiom,+ ( p(n7,n5,n6)+ => ~ p(n7,n5,n8) )).++fof(axN75_69,axiom,+ ( p(n7,n5,n6)+ => ~ p(n7,n5,n9) )).++fof(axN75_78,axiom,+ ( p(n7,n5,n7)+ => ~ p(n7,n5,n8) )).++fof(axN75_79,axiom,+ ( p(n7,n5,n7)+ => ~ p(n7,n5,n9) )).++fof(axN75_89,axiom,+ ( p(n7,n5,n8)+ => ~ p(n7,n5,n9) )).++fof(axN76_12,axiom,+ ( p(n7,n6,n1)+ => ~ p(n7,n6,n2) )).++fof(axN76_13,axiom,+ ( p(n7,n6,n1)+ => ~ p(n7,n6,n3) )).++fof(axN76_14,axiom,+ ( p(n7,n6,n1)+ => ~ p(n7,n6,n4) )).++fof(axN76_15,axiom,+ ( p(n7,n6,n1)+ => ~ p(n7,n6,n5) )).++fof(axN76_16,axiom,+ ( p(n7,n6,n1)+ => ~ p(n7,n6,n6) )).++fof(axN76_17,axiom,+ ( p(n7,n6,n1)+ => ~ p(n7,n6,n7) )).++fof(axN76_18,axiom,+ ( p(n7,n6,n1)+ => ~ p(n7,n6,n8) )).++fof(axN76_19,axiom,+ ( p(n7,n6,n1)+ => ~ p(n7,n6,n9) )).++fof(axN76_23,axiom,+ ( p(n7,n6,n2)+ => ~ p(n7,n6,n3) )).++fof(axN76_24,axiom,+ ( p(n7,n6,n2)+ => ~ p(n7,n6,n4) )).++fof(axN76_25,axiom,+ ( p(n7,n6,n2)+ => ~ p(n7,n6,n5) )).++fof(axN76_26,axiom,+ ( p(n7,n6,n2)+ => ~ p(n7,n6,n6) )).++fof(axN76_27,axiom,+ ( p(n7,n6,n2)+ => ~ p(n7,n6,n7) )).++fof(axN76_28,axiom,+ ( p(n7,n6,n2)+ => ~ p(n7,n6,n8) )).++fof(axN76_29,axiom,+ ( p(n7,n6,n2)+ => ~ p(n7,n6,n9) )).++fof(axN76_34,axiom,+ ( p(n7,n6,n3)+ => ~ p(n7,n6,n4) )).++fof(axN76_35,axiom,+ ( p(n7,n6,n3)+ => ~ p(n7,n6,n5) )).++fof(axN76_36,axiom,+ ( p(n7,n6,n3)+ => ~ p(n7,n6,n6) )).++fof(axN76_37,axiom,+ ( p(n7,n6,n3)+ => ~ p(n7,n6,n7) )).++fof(axN76_38,axiom,+ ( p(n7,n6,n3)+ => ~ p(n7,n6,n8) )).++fof(axN76_39,axiom,+ ( p(n7,n6,n3)+ => ~ p(n7,n6,n9) )).++fof(axN76_45,axiom,+ ( p(n7,n6,n4)+ => ~ p(n7,n6,n5) )).++fof(axN76_46,axiom,+ ( p(n7,n6,n4)+ => ~ p(n7,n6,n6) )).++fof(axN76_47,axiom,+ ( p(n7,n6,n4)+ => ~ p(n7,n6,n7) )).++fof(axN76_48,axiom,+ ( p(n7,n6,n4)+ => ~ p(n7,n6,n8) )).++fof(axN76_49,axiom,+ ( p(n7,n6,n4)+ => ~ p(n7,n6,n9) )).++fof(axN76_56,axiom,+ ( p(n7,n6,n5)+ => ~ p(n7,n6,n6) )).++fof(axN76_57,axiom,+ ( p(n7,n6,n5)+ => ~ p(n7,n6,n7) )).++fof(axN76_58,axiom,+ ( p(n7,n6,n5)+ => ~ p(n7,n6,n8) )).++fof(axN76_59,axiom,+ ( p(n7,n6,n5)+ => ~ p(n7,n6,n9) )).++fof(axN76_67,axiom,+ ( p(n7,n6,n6)+ => ~ p(n7,n6,n7) )).++fof(axN76_68,axiom,+ ( p(n7,n6,n6)+ => ~ p(n7,n6,n8) )).++fof(axN76_69,axiom,+ ( p(n7,n6,n6)+ => ~ p(n7,n6,n9) )).++fof(axN76_78,axiom,+ ( p(n7,n6,n7)+ => ~ p(n7,n6,n8) )).++fof(axN76_79,axiom,+ ( p(n7,n6,n7)+ => ~ p(n7,n6,n9) )).++fof(axN76_89,axiom,+ ( p(n7,n6,n8)+ => ~ p(n7,n6,n9) )).++fof(axN77_12,axiom,+ ( p(n7,n7,n1)+ => ~ p(n7,n7,n2) )).++fof(axN77_13,axiom,+ ( p(n7,n7,n1)+ => ~ p(n7,n7,n3) )).++fof(axN77_14,axiom,+ ( p(n7,n7,n1)+ => ~ p(n7,n7,n4) )).++fof(axN77_15,axiom,+ ( p(n7,n7,n1)+ => ~ p(n7,n7,n5) )).++fof(axN77_16,axiom,+ ( p(n7,n7,n1)+ => ~ p(n7,n7,n6) )).++fof(axN77_17,axiom,+ ( p(n7,n7,n1)+ => ~ p(n7,n7,n7) )).++fof(axN77_18,axiom,+ ( p(n7,n7,n1)+ => ~ p(n7,n7,n8) )).++fof(axN77_19,axiom,+ ( p(n7,n7,n1)+ => ~ p(n7,n7,n9) )).++fof(axN77_23,axiom,+ ( p(n7,n7,n2)+ => ~ p(n7,n7,n3) )).++fof(axN77_24,axiom,+ ( p(n7,n7,n2)+ => ~ p(n7,n7,n4) )).++fof(axN77_25,axiom,+ ( p(n7,n7,n2)+ => ~ p(n7,n7,n5) )).++fof(axN77_26,axiom,+ ( p(n7,n7,n2)+ => ~ p(n7,n7,n6) )).++fof(axN77_27,axiom,+ ( p(n7,n7,n2)+ => ~ p(n7,n7,n7) )).++fof(axN77_28,axiom,+ ( p(n7,n7,n2)+ => ~ p(n7,n7,n8) )).++fof(axN77_29,axiom,+ ( p(n7,n7,n2)+ => ~ p(n7,n7,n9) )).++fof(axN77_34,axiom,+ ( p(n7,n7,n3)+ => ~ p(n7,n7,n4) )).++fof(axN77_35,axiom,+ ( p(n7,n7,n3)+ => ~ p(n7,n7,n5) )).++fof(axN77_36,axiom,+ ( p(n7,n7,n3)+ => ~ p(n7,n7,n6) )).++fof(axN77_37,axiom,+ ( p(n7,n7,n3)+ => ~ p(n7,n7,n7) )).++fof(axN77_38,axiom,+ ( p(n7,n7,n3)+ => ~ p(n7,n7,n8) )).++fof(axN77_39,axiom,+ ( p(n7,n7,n3)+ => ~ p(n7,n7,n9) )).++fof(axN77_45,axiom,+ ( p(n7,n7,n4)+ => ~ p(n7,n7,n5) )).++fof(axN77_46,axiom,+ ( p(n7,n7,n4)+ => ~ p(n7,n7,n6) )).++fof(axN77_47,axiom,+ ( p(n7,n7,n4)+ => ~ p(n7,n7,n7) )).++fof(axN77_48,axiom,+ ( p(n7,n7,n4)+ => ~ p(n7,n7,n8) )).++fof(axN77_49,axiom,+ ( p(n7,n7,n4)+ => ~ p(n7,n7,n9) )).++fof(axN77_56,axiom,+ ( p(n7,n7,n5)+ => ~ p(n7,n7,n6) )).++fof(axN77_57,axiom,+ ( p(n7,n7,n5)+ => ~ p(n7,n7,n7) )).++fof(axN77_58,axiom,+ ( p(n7,n7,n5)+ => ~ p(n7,n7,n8) )).++fof(axN77_59,axiom,+ ( p(n7,n7,n5)+ => ~ p(n7,n7,n9) )).++fof(axN77_67,axiom,+ ( p(n7,n7,n6)+ => ~ p(n7,n7,n7) )).++fof(axN77_68,axiom,+ ( p(n7,n7,n6)+ => ~ p(n7,n7,n8) )).++fof(axN77_69,axiom,+ ( p(n7,n7,n6)+ => ~ p(n7,n7,n9) )).++fof(axN77_78,axiom,+ ( p(n7,n7,n7)+ => ~ p(n7,n7,n8) )).++fof(axN77_79,axiom,+ ( p(n7,n7,n7)+ => ~ p(n7,n7,n9) )).++fof(axN77_89,axiom,+ ( p(n7,n7,n8)+ => ~ p(n7,n7,n9) )).++fof(axN78_12,axiom,+ ( p(n7,n8,n1)+ => ~ p(n7,n8,n2) )).++fof(axN78_13,axiom,+ ( p(n7,n8,n1)+ => ~ p(n7,n8,n3) )).++fof(axN78_14,axiom,+ ( p(n7,n8,n1)+ => ~ p(n7,n8,n4) )).++fof(axN78_15,axiom,+ ( p(n7,n8,n1)+ => ~ p(n7,n8,n5) )).++fof(axN78_16,axiom,+ ( p(n7,n8,n1)+ => ~ p(n7,n8,n6) )).++fof(axN78_17,axiom,+ ( p(n7,n8,n1)+ => ~ p(n7,n8,n7) )).++fof(axN78_18,axiom,+ ( p(n7,n8,n1)+ => ~ p(n7,n8,n8) )).++fof(axN78_19,axiom,+ ( p(n7,n8,n1)+ => ~ p(n7,n8,n9) )).++fof(axN78_23,axiom,+ ( p(n7,n8,n2)+ => ~ p(n7,n8,n3) )).++fof(axN78_24,axiom,+ ( p(n7,n8,n2)+ => ~ p(n7,n8,n4) )).++fof(axN78_25,axiom,+ ( p(n7,n8,n2)+ => ~ p(n7,n8,n5) )).++fof(axN78_26,axiom,+ ( p(n7,n8,n2)+ => ~ p(n7,n8,n6) )).++fof(axN78_27,axiom,+ ( p(n7,n8,n2)+ => ~ p(n7,n8,n7) )).++fof(axN78_28,axiom,+ ( p(n7,n8,n2)+ => ~ p(n7,n8,n8) )).++fof(axN78_29,axiom,+ ( p(n7,n8,n2)+ => ~ p(n7,n8,n9) )).++fof(axN78_34,axiom,+ ( p(n7,n8,n3)+ => ~ p(n7,n8,n4) )).++fof(axN78_35,axiom,+ ( p(n7,n8,n3)+ => ~ p(n7,n8,n5) )).++fof(axN78_36,axiom,+ ( p(n7,n8,n3)+ => ~ p(n7,n8,n6) )).++fof(axN78_37,axiom,+ ( p(n7,n8,n3)+ => ~ p(n7,n8,n7) )).++fof(axN78_38,axiom,+ ( p(n7,n8,n3)+ => ~ p(n7,n8,n8) )).++fof(axN78_39,axiom,+ ( p(n7,n8,n3)+ => ~ p(n7,n8,n9) )).++fof(axN78_45,axiom,+ ( p(n7,n8,n4)+ => ~ p(n7,n8,n5) )).++fof(axN78_46,axiom,+ ( p(n7,n8,n4)+ => ~ p(n7,n8,n6) )).++fof(axN78_47,axiom,+ ( p(n7,n8,n4)+ => ~ p(n7,n8,n7) )).++fof(axN78_48,axiom,+ ( p(n7,n8,n4)+ => ~ p(n7,n8,n8) )).++fof(axN78_49,axiom,+ ( p(n7,n8,n4)+ => ~ p(n7,n8,n9) )).++fof(axN78_56,axiom,+ ( p(n7,n8,n5)+ => ~ p(n7,n8,n6) )).++fof(axN78_57,axiom,+ ( p(n7,n8,n5)+ => ~ p(n7,n8,n7) )).++fof(axN78_58,axiom,+ ( p(n7,n8,n5)+ => ~ p(n7,n8,n8) )).++fof(axN78_59,axiom,+ ( p(n7,n8,n5)+ => ~ p(n7,n8,n9) )).++fof(axN78_67,axiom,+ ( p(n7,n8,n6)+ => ~ p(n7,n8,n7) )).++fof(axN78_68,axiom,+ ( p(n7,n8,n6)+ => ~ p(n7,n8,n8) )).++fof(axN78_69,axiom,+ ( p(n7,n8,n6)+ => ~ p(n7,n8,n9) )).++fof(axN78_78,axiom,+ ( p(n7,n8,n7)+ => ~ p(n7,n8,n8) )).++fof(axN78_79,axiom,+ ( p(n7,n8,n7)+ => ~ p(n7,n8,n9) )).++fof(axN78_89,axiom,+ ( p(n7,n8,n8)+ => ~ p(n7,n8,n9) )).++fof(axN79_12,axiom,+ ( p(n7,n9,n1)+ => ~ p(n7,n9,n2) )).++fof(axN79_13,axiom,+ ( p(n7,n9,n1)+ => ~ p(n7,n9,n3) )).++fof(axN79_14,axiom,+ ( p(n7,n9,n1)+ => ~ p(n7,n9,n4) )).++fof(axN79_15,axiom,+ ( p(n7,n9,n1)+ => ~ p(n7,n9,n5) )).++fof(axN79_16,axiom,+ ( p(n7,n9,n1)+ => ~ p(n7,n9,n6) )).++fof(axN79_17,axiom,+ ( p(n7,n9,n1)+ => ~ p(n7,n9,n7) )).++fof(axN79_18,axiom,+ ( p(n7,n9,n1)+ => ~ p(n7,n9,n8) )).++fof(axN79_19,axiom,+ ( p(n7,n9,n1)+ => ~ p(n7,n9,n9) )).++fof(axN79_23,axiom,+ ( p(n7,n9,n2)+ => ~ p(n7,n9,n3) )).++fof(axN79_24,axiom,+ ( p(n7,n9,n2)+ => ~ p(n7,n9,n4) )).++fof(axN79_25,axiom,+ ( p(n7,n9,n2)+ => ~ p(n7,n9,n5) )).++fof(axN79_26,axiom,+ ( p(n7,n9,n2)+ => ~ p(n7,n9,n6) )).++fof(axN79_27,axiom,+ ( p(n7,n9,n2)+ => ~ p(n7,n9,n7) )).++fof(axN79_28,axiom,+ ( p(n7,n9,n2)+ => ~ p(n7,n9,n8) )).++fof(axN79_29,axiom,+ ( p(n7,n9,n2)+ => ~ p(n7,n9,n9) )).++fof(axN79_34,axiom,+ ( p(n7,n9,n3)+ => ~ p(n7,n9,n4) )).++fof(axN79_35,axiom,+ ( p(n7,n9,n3)+ => ~ p(n7,n9,n5) )).++fof(axN79_36,axiom,+ ( p(n7,n9,n3)+ => ~ p(n7,n9,n6) )).++fof(axN79_37,axiom,+ ( p(n7,n9,n3)+ => ~ p(n7,n9,n7) )).++fof(axN79_38,axiom,+ ( p(n7,n9,n3)+ => ~ p(n7,n9,n8) )).++fof(axN79_39,axiom,+ ( p(n7,n9,n3)+ => ~ p(n7,n9,n9) )).++fof(axN79_45,axiom,+ ( p(n7,n9,n4)+ => ~ p(n7,n9,n5) )).++fof(axN79_46,axiom,+ ( p(n7,n9,n4)+ => ~ p(n7,n9,n6) )).++fof(axN79_47,axiom,+ ( p(n7,n9,n4)+ => ~ p(n7,n9,n7) )).++fof(axN79_48,axiom,+ ( p(n7,n9,n4)+ => ~ p(n7,n9,n8) )).++fof(axN79_49,axiom,+ ( p(n7,n9,n4)+ => ~ p(n7,n9,n9) )).++fof(axN79_56,axiom,+ ( p(n7,n9,n5)+ => ~ p(n7,n9,n6) )).++fof(axN79_57,axiom,+ ( p(n7,n9,n5)+ => ~ p(n7,n9,n7) )).++fof(axN79_58,axiom,+ ( p(n7,n9,n5)+ => ~ p(n7,n9,n8) )).++fof(axN79_59,axiom,+ ( p(n7,n9,n5)+ => ~ p(n7,n9,n9) )).++fof(axN79_67,axiom,+ ( p(n7,n9,n6)+ => ~ p(n7,n9,n7) )).++fof(axN79_68,axiom,+ ( p(n7,n9,n6)+ => ~ p(n7,n9,n8) )).++fof(axN79_69,axiom,+ ( p(n7,n9,n6)+ => ~ p(n7,n9,n9) )).++fof(axN79_78,axiom,+ ( p(n7,n9,n7)+ => ~ p(n7,n9,n8) )).++fof(axN79_79,axiom,+ ( p(n7,n9,n7)+ => ~ p(n7,n9,n9) )).++fof(axN79_89,axiom,+ ( p(n7,n9,n8)+ => ~ p(n7,n9,n9) )).++fof(axN81_12,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n1,n2) )).++fof(axN81_13,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n1,n3) )).++fof(axN81_14,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n1,n4) )).++fof(axN81_15,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n1,n5) )).++fof(axN81_16,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n1,n6) )).++fof(axN81_17,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n1,n7) )).++fof(axN81_18,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n1,n8) )).++fof(axN81_19,axiom,+ ( p(n8,n1,n1)+ => ~ p(n8,n1,n9) )).++fof(axN81_23,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n1,n3) )).++fof(axN81_24,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n1,n4) )).++fof(axN81_25,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n1,n5) )).++fof(axN81_26,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n1,n6) )).++fof(axN81_27,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n1,n7) )).++fof(axN81_28,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n1,n8) )).++fof(axN81_29,axiom,+ ( p(n8,n1,n2)+ => ~ p(n8,n1,n9) )).++fof(axN81_34,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n1,n4) )).++fof(axN81_35,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n1,n5) )).++fof(axN81_36,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n1,n6) )).++fof(axN81_37,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n1,n7) )).++fof(axN81_38,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n1,n8) )).++fof(axN81_39,axiom,+ ( p(n8,n1,n3)+ => ~ p(n8,n1,n9) )).++fof(axN81_45,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n1,n5) )).++fof(axN81_46,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n1,n6) )).++fof(axN81_47,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n1,n7) )).++fof(axN81_48,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n1,n8) )).++fof(axN81_49,axiom,+ ( p(n8,n1,n4)+ => ~ p(n8,n1,n9) )).++fof(axN81_56,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n1,n6) )).++fof(axN81_57,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n1,n7) )).++fof(axN81_58,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n1,n8) )).++fof(axN81_59,axiom,+ ( p(n8,n1,n5)+ => ~ p(n8,n1,n9) )).++fof(axN81_67,axiom,+ ( p(n8,n1,n6)+ => ~ p(n8,n1,n7) )).++fof(axN81_68,axiom,+ ( p(n8,n1,n6)+ => ~ p(n8,n1,n8) )).++fof(axN81_69,axiom,+ ( p(n8,n1,n6)+ => ~ p(n8,n1,n9) )).++fof(axN81_78,axiom,+ ( p(n8,n1,n7)+ => ~ p(n8,n1,n8) )).++fof(axN81_79,axiom,+ ( p(n8,n1,n7)+ => ~ p(n8,n1,n9) )).++fof(axN81_89,axiom,+ ( p(n8,n1,n8)+ => ~ p(n8,n1,n9) )).++fof(axN82_12,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n2,n2) )).++fof(axN82_13,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n2,n3) )).++fof(axN82_14,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n2,n4) )).++fof(axN82_15,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n2,n5) )).++fof(axN82_16,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n2,n6) )).++fof(axN82_17,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n2,n7) )).++fof(axN82_18,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n2,n8) )).++fof(axN82_19,axiom,+ ( p(n8,n2,n1)+ => ~ p(n8,n2,n9) )).++fof(axN82_23,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n2,n3) )).++fof(axN82_24,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n2,n4) )).++fof(axN82_25,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n2,n5) )).++fof(axN82_26,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n2,n6) )).++fof(axN82_27,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n2,n7) )).++fof(axN82_28,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n2,n8) )).++fof(axN82_29,axiom,+ ( p(n8,n2,n2)+ => ~ p(n8,n2,n9) )).++fof(axN82_34,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n2,n4) )).++fof(axN82_35,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n2,n5) )).++fof(axN82_36,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n2,n6) )).++fof(axN82_37,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n2,n7) )).++fof(axN82_38,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n2,n8) )).++fof(axN82_39,axiom,+ ( p(n8,n2,n3)+ => ~ p(n8,n2,n9) )).++fof(axN82_45,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n2,n5) )).++fof(axN82_46,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n2,n6) )).++fof(axN82_47,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n2,n7) )).++fof(axN82_48,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n2,n8) )).++fof(axN82_49,axiom,+ ( p(n8,n2,n4)+ => ~ p(n8,n2,n9) )).++fof(axN82_56,axiom,+ ( p(n8,n2,n5)+ => ~ p(n8,n2,n6) )).++fof(axN82_57,axiom,+ ( p(n8,n2,n5)+ => ~ p(n8,n2,n7) )).++fof(axN82_58,axiom,+ ( p(n8,n2,n5)+ => ~ p(n8,n2,n8) )).++fof(axN82_59,axiom,+ ( p(n8,n2,n5)+ => ~ p(n8,n2,n9) )).++fof(axN82_67,axiom,+ ( p(n8,n2,n6)+ => ~ p(n8,n2,n7) )).++fof(axN82_68,axiom,+ ( p(n8,n2,n6)+ => ~ p(n8,n2,n8) )).++fof(axN82_69,axiom,+ ( p(n8,n2,n6)+ => ~ p(n8,n2,n9) )).++fof(axN82_78,axiom,+ ( p(n8,n2,n7)+ => ~ p(n8,n2,n8) )).++fof(axN82_79,axiom,+ ( p(n8,n2,n7)+ => ~ p(n8,n2,n9) )).++fof(axN82_89,axiom,+ ( p(n8,n2,n8)+ => ~ p(n8,n2,n9) )).++fof(axN83_12,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n3,n2) )).++fof(axN83_13,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n3,n3) )).++fof(axN83_14,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n3,n4) )).++fof(axN83_15,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n3,n5) )).++fof(axN83_16,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n3,n6) )).++fof(axN83_17,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n3,n7) )).++fof(axN83_18,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n3,n8) )).++fof(axN83_19,axiom,+ ( p(n8,n3,n1)+ => ~ p(n8,n3,n9) )).++fof(axN83_23,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n3,n3) )).++fof(axN83_24,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n3,n4) )).++fof(axN83_25,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n3,n5) )).++fof(axN83_26,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n3,n6) )).++fof(axN83_27,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n3,n7) )).++fof(axN83_28,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n3,n8) )).++fof(axN83_29,axiom,+ ( p(n8,n3,n2)+ => ~ p(n8,n3,n9) )).++fof(axN83_34,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n3,n4) )).++fof(axN83_35,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n3,n5) )).++fof(axN83_36,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n3,n6) )).++fof(axN83_37,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n3,n7) )).++fof(axN83_38,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n3,n8) )).++fof(axN83_39,axiom,+ ( p(n8,n3,n3)+ => ~ p(n8,n3,n9) )).++fof(axN83_45,axiom,+ ( p(n8,n3,n4)+ => ~ p(n8,n3,n5) )).++fof(axN83_46,axiom,+ ( p(n8,n3,n4)+ => ~ p(n8,n3,n6) )).++fof(axN83_47,axiom,+ ( p(n8,n3,n4)+ => ~ p(n8,n3,n7) )).++fof(axN83_48,axiom,+ ( p(n8,n3,n4)+ => ~ p(n8,n3,n8) )).++fof(axN83_49,axiom,+ ( p(n8,n3,n4)+ => ~ p(n8,n3,n9) )).++fof(axN83_56,axiom,+ ( p(n8,n3,n5)+ => ~ p(n8,n3,n6) )).++fof(axN83_57,axiom,+ ( p(n8,n3,n5)+ => ~ p(n8,n3,n7) )).++fof(axN83_58,axiom,+ ( p(n8,n3,n5)+ => ~ p(n8,n3,n8) )).++fof(axN83_59,axiom,+ ( p(n8,n3,n5)+ => ~ p(n8,n3,n9) )).++fof(axN83_67,axiom,+ ( p(n8,n3,n6)+ => ~ p(n8,n3,n7) )).++fof(axN83_68,axiom,+ ( p(n8,n3,n6)+ => ~ p(n8,n3,n8) )).++fof(axN83_69,axiom,+ ( p(n8,n3,n6)+ => ~ p(n8,n3,n9) )).++fof(axN83_78,axiom,+ ( p(n8,n3,n7)+ => ~ p(n8,n3,n8) )).++fof(axN83_79,axiom,+ ( p(n8,n3,n7)+ => ~ p(n8,n3,n9) )).++fof(axN83_89,axiom,+ ( p(n8,n3,n8)+ => ~ p(n8,n3,n9) )).++fof(axN84_12,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n4,n2) )).++fof(axN84_13,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n4,n3) )).++fof(axN84_14,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n4,n4) )).++fof(axN84_15,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n4,n5) )).++fof(axN84_16,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n4,n6) )).++fof(axN84_17,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n4,n7) )).++fof(axN84_18,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n4,n8) )).++fof(axN84_19,axiom,+ ( p(n8,n4,n1)+ => ~ p(n8,n4,n9) )).++fof(axN84_23,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n4,n3) )).++fof(axN84_24,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n4,n4) )).++fof(axN84_25,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n4,n5) )).++fof(axN84_26,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n4,n6) )).++fof(axN84_27,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n4,n7) )).++fof(axN84_28,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n4,n8) )).++fof(axN84_29,axiom,+ ( p(n8,n4,n2)+ => ~ p(n8,n4,n9) )).++fof(axN84_34,axiom,+ ( p(n8,n4,n3)+ => ~ p(n8,n4,n4) )).++fof(axN84_35,axiom,+ ( p(n8,n4,n3)+ => ~ p(n8,n4,n5) )).++fof(axN84_36,axiom,+ ( p(n8,n4,n3)+ => ~ p(n8,n4,n6) )).++fof(axN84_37,axiom,+ ( p(n8,n4,n3)+ => ~ p(n8,n4,n7) )).++fof(axN84_38,axiom,+ ( p(n8,n4,n3)+ => ~ p(n8,n4,n8) )).++fof(axN84_39,axiom,+ ( p(n8,n4,n3)+ => ~ p(n8,n4,n9) )).++fof(axN84_45,axiom,+ ( p(n8,n4,n4)+ => ~ p(n8,n4,n5) )).++fof(axN84_46,axiom,+ ( p(n8,n4,n4)+ => ~ p(n8,n4,n6) )).++fof(axN84_47,axiom,+ ( p(n8,n4,n4)+ => ~ p(n8,n4,n7) )).++fof(axN84_48,axiom,+ ( p(n8,n4,n4)+ => ~ p(n8,n4,n8) )).++fof(axN84_49,axiom,+ ( p(n8,n4,n4)+ => ~ p(n8,n4,n9) )).++fof(axN84_56,axiom,+ ( p(n8,n4,n5)+ => ~ p(n8,n4,n6) )).++fof(axN84_57,axiom,+ ( p(n8,n4,n5)+ => ~ p(n8,n4,n7) )).++fof(axN84_58,axiom,+ ( p(n8,n4,n5)+ => ~ p(n8,n4,n8) )).++fof(axN84_59,axiom,+ ( p(n8,n4,n5)+ => ~ p(n8,n4,n9) )).++fof(axN84_67,axiom,+ ( p(n8,n4,n6)+ => ~ p(n8,n4,n7) )).++fof(axN84_68,axiom,+ ( p(n8,n4,n6)+ => ~ p(n8,n4,n8) )).++fof(axN84_69,axiom,+ ( p(n8,n4,n6)+ => ~ p(n8,n4,n9) )).++fof(axN84_78,axiom,+ ( p(n8,n4,n7)+ => ~ p(n8,n4,n8) )).++fof(axN84_79,axiom,+ ( p(n8,n4,n7)+ => ~ p(n8,n4,n9) )).++fof(axN84_89,axiom,+ ( p(n8,n4,n8)+ => ~ p(n8,n4,n9) )).++fof(axN85_12,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n5,n2) )).++fof(axN85_13,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n5,n3) )).++fof(axN85_14,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n5,n4) )).++fof(axN85_15,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n5,n5) )).++fof(axN85_16,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n5,n6) )).++fof(axN85_17,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n5,n7) )).++fof(axN85_18,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n5,n8) )).++fof(axN85_19,axiom,+ ( p(n8,n5,n1)+ => ~ p(n8,n5,n9) )).++fof(axN85_23,axiom,+ ( p(n8,n5,n2)+ => ~ p(n8,n5,n3) )).++fof(axN85_24,axiom,+ ( p(n8,n5,n2)+ => ~ p(n8,n5,n4) )).++fof(axN85_25,axiom,+ ( p(n8,n5,n2)+ => ~ p(n8,n5,n5) )).++fof(axN85_26,axiom,+ ( p(n8,n5,n2)+ => ~ p(n8,n5,n6) )).++fof(axN85_27,axiom,+ ( p(n8,n5,n2)+ => ~ p(n8,n5,n7) )).++fof(axN85_28,axiom,+ ( p(n8,n5,n2)+ => ~ p(n8,n5,n8) )).++fof(axN85_29,axiom,+ ( p(n8,n5,n2)+ => ~ p(n8,n5,n9) )).++fof(axN85_34,axiom,+ ( p(n8,n5,n3)+ => ~ p(n8,n5,n4) )).++fof(axN85_35,axiom,+ ( p(n8,n5,n3)+ => ~ p(n8,n5,n5) )).++fof(axN85_36,axiom,+ ( p(n8,n5,n3)+ => ~ p(n8,n5,n6) )).++fof(axN85_37,axiom,+ ( p(n8,n5,n3)+ => ~ p(n8,n5,n7) )).++fof(axN85_38,axiom,+ ( p(n8,n5,n3)+ => ~ p(n8,n5,n8) )).++fof(axN85_39,axiom,+ ( p(n8,n5,n3)+ => ~ p(n8,n5,n9) )).++fof(axN85_45,axiom,+ ( p(n8,n5,n4)+ => ~ p(n8,n5,n5) )).++fof(axN85_46,axiom,+ ( p(n8,n5,n4)+ => ~ p(n8,n5,n6) )).++fof(axN85_47,axiom,+ ( p(n8,n5,n4)+ => ~ p(n8,n5,n7) )).++fof(axN85_48,axiom,+ ( p(n8,n5,n4)+ => ~ p(n8,n5,n8) )).++fof(axN85_49,axiom,+ ( p(n8,n5,n4)+ => ~ p(n8,n5,n9) )).++fof(axN85_56,axiom,+ ( p(n8,n5,n5)+ => ~ p(n8,n5,n6) )).++fof(axN85_57,axiom,+ ( p(n8,n5,n5)+ => ~ p(n8,n5,n7) )).++fof(axN85_58,axiom,+ ( p(n8,n5,n5)+ => ~ p(n8,n5,n8) )).++fof(axN85_59,axiom,+ ( p(n8,n5,n5)+ => ~ p(n8,n5,n9) )).++fof(axN85_67,axiom,+ ( p(n8,n5,n6)+ => ~ p(n8,n5,n7) )).++fof(axN85_68,axiom,+ ( p(n8,n5,n6)+ => ~ p(n8,n5,n8) )).++fof(axN85_69,axiom,+ ( p(n8,n5,n6)+ => ~ p(n8,n5,n9) )).++fof(axN85_78,axiom,+ ( p(n8,n5,n7)+ => ~ p(n8,n5,n8) )).++fof(axN85_79,axiom,+ ( p(n8,n5,n7)+ => ~ p(n8,n5,n9) )).++fof(axN85_89,axiom,+ ( p(n8,n5,n8)+ => ~ p(n8,n5,n9) )).++fof(axN86_12,axiom,+ ( p(n8,n6,n1)+ => ~ p(n8,n6,n2) )).++fof(axN86_13,axiom,+ ( p(n8,n6,n1)+ => ~ p(n8,n6,n3) )).++fof(axN86_14,axiom,+ ( p(n8,n6,n1)+ => ~ p(n8,n6,n4) )).++fof(axN86_15,axiom,+ ( p(n8,n6,n1)+ => ~ p(n8,n6,n5) )).++fof(axN86_16,axiom,+ ( p(n8,n6,n1)+ => ~ p(n8,n6,n6) )).++fof(axN86_17,axiom,+ ( p(n8,n6,n1)+ => ~ p(n8,n6,n7) )).++fof(axN86_18,axiom,+ ( p(n8,n6,n1)+ => ~ p(n8,n6,n8) )).++fof(axN86_19,axiom,+ ( p(n8,n6,n1)+ => ~ p(n8,n6,n9) )).++fof(axN86_23,axiom,+ ( p(n8,n6,n2)+ => ~ p(n8,n6,n3) )).++fof(axN86_24,axiom,+ ( p(n8,n6,n2)+ => ~ p(n8,n6,n4) )).++fof(axN86_25,axiom,+ ( p(n8,n6,n2)+ => ~ p(n8,n6,n5) )).++fof(axN86_26,axiom,+ ( p(n8,n6,n2)+ => ~ p(n8,n6,n6) )).++fof(axN86_27,axiom,+ ( p(n8,n6,n2)+ => ~ p(n8,n6,n7) )).++fof(axN86_28,axiom,+ ( p(n8,n6,n2)+ => ~ p(n8,n6,n8) )).++fof(axN86_29,axiom,+ ( p(n8,n6,n2)+ => ~ p(n8,n6,n9) )).++fof(axN86_34,axiom,+ ( p(n8,n6,n3)+ => ~ p(n8,n6,n4) )).++fof(axN86_35,axiom,+ ( p(n8,n6,n3)+ => ~ p(n8,n6,n5) )).++fof(axN86_36,axiom,+ ( p(n8,n6,n3)+ => ~ p(n8,n6,n6) )).++fof(axN86_37,axiom,+ ( p(n8,n6,n3)+ => ~ p(n8,n6,n7) )).++fof(axN86_38,axiom,+ ( p(n8,n6,n3)+ => ~ p(n8,n6,n8) )).++fof(axN86_39,axiom,+ ( p(n8,n6,n3)+ => ~ p(n8,n6,n9) )).++fof(axN86_45,axiom,+ ( p(n8,n6,n4)+ => ~ p(n8,n6,n5) )).++fof(axN86_46,axiom,+ ( p(n8,n6,n4)+ => ~ p(n8,n6,n6) )).++fof(axN86_47,axiom,+ ( p(n8,n6,n4)+ => ~ p(n8,n6,n7) )).++fof(axN86_48,axiom,+ ( p(n8,n6,n4)+ => ~ p(n8,n6,n8) )).++fof(axN86_49,axiom,+ ( p(n8,n6,n4)+ => ~ p(n8,n6,n9) )).++fof(axN86_56,axiom,+ ( p(n8,n6,n5)+ => ~ p(n8,n6,n6) )).++fof(axN86_57,axiom,+ ( p(n8,n6,n5)+ => ~ p(n8,n6,n7) )).++fof(axN86_58,axiom,+ ( p(n8,n6,n5)+ => ~ p(n8,n6,n8) )).++fof(axN86_59,axiom,+ ( p(n8,n6,n5)+ => ~ p(n8,n6,n9) )).++fof(axN86_67,axiom,+ ( p(n8,n6,n6)+ => ~ p(n8,n6,n7) )).++fof(axN86_68,axiom,+ ( p(n8,n6,n6)+ => ~ p(n8,n6,n8) )).++fof(axN86_69,axiom,+ ( p(n8,n6,n6)+ => ~ p(n8,n6,n9) )).++fof(axN86_78,axiom,+ ( p(n8,n6,n7)+ => ~ p(n8,n6,n8) )).++fof(axN86_79,axiom,+ ( p(n8,n6,n7)+ => ~ p(n8,n6,n9) )).++fof(axN86_89,axiom,+ ( p(n8,n6,n8)+ => ~ p(n8,n6,n9) )).++fof(axN87_12,axiom,+ ( p(n8,n7,n1)+ => ~ p(n8,n7,n2) )).++fof(axN87_13,axiom,+ ( p(n8,n7,n1)+ => ~ p(n8,n7,n3) )).++fof(axN87_14,axiom,+ ( p(n8,n7,n1)+ => ~ p(n8,n7,n4) )).++fof(axN87_15,axiom,+ ( p(n8,n7,n1)+ => ~ p(n8,n7,n5) )).++fof(axN87_16,axiom,+ ( p(n8,n7,n1)+ => ~ p(n8,n7,n6) )).++fof(axN87_17,axiom,+ ( p(n8,n7,n1)+ => ~ p(n8,n7,n7) )).++fof(axN87_18,axiom,+ ( p(n8,n7,n1)+ => ~ p(n8,n7,n8) )).++fof(axN87_19,axiom,+ ( p(n8,n7,n1)+ => ~ p(n8,n7,n9) )).++fof(axN87_23,axiom,+ ( p(n8,n7,n2)+ => ~ p(n8,n7,n3) )).++fof(axN87_24,axiom,+ ( p(n8,n7,n2)+ => ~ p(n8,n7,n4) )).++fof(axN87_25,axiom,+ ( p(n8,n7,n2)+ => ~ p(n8,n7,n5) )).++fof(axN87_26,axiom,+ ( p(n8,n7,n2)+ => ~ p(n8,n7,n6) )).++fof(axN87_27,axiom,+ ( p(n8,n7,n2)+ => ~ p(n8,n7,n7) )).++fof(axN87_28,axiom,+ ( p(n8,n7,n2)+ => ~ p(n8,n7,n8) )).++fof(axN87_29,axiom,+ ( p(n8,n7,n2)+ => ~ p(n8,n7,n9) )).++fof(axN87_34,axiom,+ ( p(n8,n7,n3)+ => ~ p(n8,n7,n4) )).++fof(axN87_35,axiom,+ ( p(n8,n7,n3)+ => ~ p(n8,n7,n5) )).++fof(axN87_36,axiom,+ ( p(n8,n7,n3)+ => ~ p(n8,n7,n6) )).++fof(axN87_37,axiom,+ ( p(n8,n7,n3)+ => ~ p(n8,n7,n7) )).++fof(axN87_38,axiom,+ ( p(n8,n7,n3)+ => ~ p(n8,n7,n8) )).++fof(axN87_39,axiom,+ ( p(n8,n7,n3)+ => ~ p(n8,n7,n9) )).++fof(axN87_45,axiom,+ ( p(n8,n7,n4)+ => ~ p(n8,n7,n5) )).++fof(axN87_46,axiom,+ ( p(n8,n7,n4)+ => ~ p(n8,n7,n6) )).++fof(axN87_47,axiom,+ ( p(n8,n7,n4)+ => ~ p(n8,n7,n7) )).++fof(axN87_48,axiom,+ ( p(n8,n7,n4)+ => ~ p(n8,n7,n8) )).++fof(axN87_49,axiom,+ ( p(n8,n7,n4)+ => ~ p(n8,n7,n9) )).++fof(axN87_56,axiom,+ ( p(n8,n7,n5)+ => ~ p(n8,n7,n6) )).++fof(axN87_57,axiom,+ ( p(n8,n7,n5)+ => ~ p(n8,n7,n7) )).++fof(axN87_58,axiom,+ ( p(n8,n7,n5)+ => ~ p(n8,n7,n8) )).++fof(axN87_59,axiom,+ ( p(n8,n7,n5)+ => ~ p(n8,n7,n9) )).++fof(axN87_67,axiom,+ ( p(n8,n7,n6)+ => ~ p(n8,n7,n7) )).++fof(axN87_68,axiom,+ ( p(n8,n7,n6)+ => ~ p(n8,n7,n8) )).++fof(axN87_69,axiom,+ ( p(n8,n7,n6)+ => ~ p(n8,n7,n9) )).++fof(axN87_78,axiom,+ ( p(n8,n7,n7)+ => ~ p(n8,n7,n8) )).++fof(axN87_79,axiom,+ ( p(n8,n7,n7)+ => ~ p(n8,n7,n9) )).++fof(axN87_89,axiom,+ ( p(n8,n7,n8)+ => ~ p(n8,n7,n9) )).++fof(axN88_12,axiom,+ ( p(n8,n8,n1)+ => ~ p(n8,n8,n2) )).++fof(axN88_13,axiom,+ ( p(n8,n8,n1)+ => ~ p(n8,n8,n3) )).++fof(axN88_14,axiom,+ ( p(n8,n8,n1)+ => ~ p(n8,n8,n4) )).++fof(axN88_15,axiom,+ ( p(n8,n8,n1)+ => ~ p(n8,n8,n5) )).++fof(axN88_16,axiom,+ ( p(n8,n8,n1)+ => ~ p(n8,n8,n6) )).++fof(axN88_17,axiom,+ ( p(n8,n8,n1)+ => ~ p(n8,n8,n7) )).++fof(axN88_18,axiom,+ ( p(n8,n8,n1)+ => ~ p(n8,n8,n8) )).++fof(axN88_19,axiom,+ ( p(n8,n8,n1)+ => ~ p(n8,n8,n9) )).++fof(axN88_23,axiom,+ ( p(n8,n8,n2)+ => ~ p(n8,n8,n3) )).++fof(axN88_24,axiom,+ ( p(n8,n8,n2)+ => ~ p(n8,n8,n4) )).++fof(axN88_25,axiom,+ ( p(n8,n8,n2)+ => ~ p(n8,n8,n5) )).++fof(axN88_26,axiom,+ ( p(n8,n8,n2)+ => ~ p(n8,n8,n6) )).++fof(axN88_27,axiom,+ ( p(n8,n8,n2)+ => ~ p(n8,n8,n7) )).++fof(axN88_28,axiom,+ ( p(n8,n8,n2)+ => ~ p(n8,n8,n8) )).++fof(axN88_29,axiom,+ ( p(n8,n8,n2)+ => ~ p(n8,n8,n9) )).++fof(axN88_34,axiom,+ ( p(n8,n8,n3)+ => ~ p(n8,n8,n4) )).++fof(axN88_35,axiom,+ ( p(n8,n8,n3)+ => ~ p(n8,n8,n5) )).++fof(axN88_36,axiom,+ ( p(n8,n8,n3)+ => ~ p(n8,n8,n6) )).++fof(axN88_37,axiom,+ ( p(n8,n8,n3)+ => ~ p(n8,n8,n7) )).++fof(axN88_38,axiom,+ ( p(n8,n8,n3)+ => ~ p(n8,n8,n8) )).++fof(axN88_39,axiom,+ ( p(n8,n8,n3)+ => ~ p(n8,n8,n9) )).++fof(axN88_45,axiom,+ ( p(n8,n8,n4)+ => ~ p(n8,n8,n5) )).++fof(axN88_46,axiom,+ ( p(n8,n8,n4)+ => ~ p(n8,n8,n6) )).++fof(axN88_47,axiom,+ ( p(n8,n8,n4)+ => ~ p(n8,n8,n7) )).++fof(axN88_48,axiom,+ ( p(n8,n8,n4)+ => ~ p(n8,n8,n8) )).++fof(axN88_49,axiom,+ ( p(n8,n8,n4)+ => ~ p(n8,n8,n9) )).++fof(axN88_56,axiom,+ ( p(n8,n8,n5)+ => ~ p(n8,n8,n6) )).++fof(axN88_57,axiom,+ ( p(n8,n8,n5)+ => ~ p(n8,n8,n7) )).++fof(axN88_58,axiom,+ ( p(n8,n8,n5)+ => ~ p(n8,n8,n8) )).++fof(axN88_59,axiom,+ ( p(n8,n8,n5)+ => ~ p(n8,n8,n9) )).++fof(axN88_67,axiom,+ ( p(n8,n8,n6)+ => ~ p(n8,n8,n7) )).++fof(axN88_68,axiom,+ ( p(n8,n8,n6)+ => ~ p(n8,n8,n8) )).++fof(axN88_69,axiom,+ ( p(n8,n8,n6)+ => ~ p(n8,n8,n9) )).++fof(axN88_78,axiom,+ ( p(n8,n8,n7)+ => ~ p(n8,n8,n8) )).++fof(axN88_79,axiom,+ ( p(n8,n8,n7)+ => ~ p(n8,n8,n9) )).++fof(axN88_89,axiom,+ ( p(n8,n8,n8)+ => ~ p(n8,n8,n9) )).++fof(axN89_12,axiom,+ ( p(n8,n9,n1)+ => ~ p(n8,n9,n2) )).++fof(axN89_13,axiom,+ ( p(n8,n9,n1)+ => ~ p(n8,n9,n3) )).++fof(axN89_14,axiom,+ ( p(n8,n9,n1)+ => ~ p(n8,n9,n4) )).++fof(axN89_15,axiom,+ ( p(n8,n9,n1)+ => ~ p(n8,n9,n5) )).++fof(axN89_16,axiom,+ ( p(n8,n9,n1)+ => ~ p(n8,n9,n6) )).++fof(axN89_17,axiom,+ ( p(n8,n9,n1)+ => ~ p(n8,n9,n7) )).++fof(axN89_18,axiom,+ ( p(n8,n9,n1)+ => ~ p(n8,n9,n8) )).++fof(axN89_19,axiom,+ ( p(n8,n9,n1)+ => ~ p(n8,n9,n9) )).++fof(axN89_23,axiom,+ ( p(n8,n9,n2)+ => ~ p(n8,n9,n3) )).++fof(axN89_24,axiom,+ ( p(n8,n9,n2)+ => ~ p(n8,n9,n4) )).++fof(axN89_25,axiom,+ ( p(n8,n9,n2)+ => ~ p(n8,n9,n5) )).++fof(axN89_26,axiom,+ ( p(n8,n9,n2)+ => ~ p(n8,n9,n6) )).++fof(axN89_27,axiom,+ ( p(n8,n9,n2)+ => ~ p(n8,n9,n7) )).++fof(axN89_28,axiom,+ ( p(n8,n9,n2)+ => ~ p(n8,n9,n8) )).++fof(axN89_29,axiom,+ ( p(n8,n9,n2)+ => ~ p(n8,n9,n9) )).++fof(axN89_34,axiom,+ ( p(n8,n9,n3)+ => ~ p(n8,n9,n4) )).++fof(axN89_35,axiom,+ ( p(n8,n9,n3)+ => ~ p(n8,n9,n5) )).++fof(axN89_36,axiom,+ ( p(n8,n9,n3)+ => ~ p(n8,n9,n6) )).++fof(axN89_37,axiom,+ ( p(n8,n9,n3)+ => ~ p(n8,n9,n7) )).++fof(axN89_38,axiom,+ ( p(n8,n9,n3)+ => ~ p(n8,n9,n8) )).++fof(axN89_39,axiom,+ ( p(n8,n9,n3)+ => ~ p(n8,n9,n9) )).++fof(axN89_45,axiom,+ ( p(n8,n9,n4)+ => ~ p(n8,n9,n5) )).++fof(axN89_46,axiom,+ ( p(n8,n9,n4)+ => ~ p(n8,n9,n6) )).++fof(axN89_47,axiom,+ ( p(n8,n9,n4)+ => ~ p(n8,n9,n7) )).++fof(axN89_48,axiom,+ ( p(n8,n9,n4)+ => ~ p(n8,n9,n8) )).++fof(axN89_49,axiom,+ ( p(n8,n9,n4)+ => ~ p(n8,n9,n9) )).++fof(axN89_56,axiom,+ ( p(n8,n9,n5)+ => ~ p(n8,n9,n6) )).++fof(axN89_57,axiom,+ ( p(n8,n9,n5)+ => ~ p(n8,n9,n7) )).++fof(axN89_58,axiom,+ ( p(n8,n9,n5)+ => ~ p(n8,n9,n8) )).++fof(axN89_59,axiom,+ ( p(n8,n9,n5)+ => ~ p(n8,n9,n9) )).++fof(axN89_67,axiom,+ ( p(n8,n9,n6)+ => ~ p(n8,n9,n7) )).++fof(axN89_68,axiom,+ ( p(n8,n9,n6)+ => ~ p(n8,n9,n8) )).++fof(axN89_69,axiom,+ ( p(n8,n9,n6)+ => ~ p(n8,n9,n9) )).++fof(axN89_78,axiom,+ ( p(n8,n9,n7)+ => ~ p(n8,n9,n8) )).++fof(axN89_79,axiom,+ ( p(n8,n9,n7)+ => ~ p(n8,n9,n9) )).++fof(axN89_89,axiom,+ ( p(n8,n9,n8)+ => ~ p(n8,n9,n9) )).++fof(axN91_12,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n1,n2) )).++fof(axN91_13,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n1,n3) )).++fof(axN91_14,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n1,n4) )).++fof(axN91_15,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n1,n5) )).++fof(axN91_16,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n1,n6) )).++fof(axN91_17,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n1,n7) )).++fof(axN91_18,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n1,n8) )).++fof(axN91_19,axiom,+ ( p(n9,n1,n1)+ => ~ p(n9,n1,n9) )).++fof(axN91_23,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n1,n3) )).++fof(axN91_24,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n1,n4) )).++fof(axN91_25,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n1,n5) )).++fof(axN91_26,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n1,n6) )).++fof(axN91_27,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n1,n7) )).++fof(axN91_28,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n1,n8) )).++fof(axN91_29,axiom,+ ( p(n9,n1,n2)+ => ~ p(n9,n1,n9) )).++fof(axN91_34,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n1,n4) )).++fof(axN91_35,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n1,n5) )).++fof(axN91_36,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n1,n6) )).++fof(axN91_37,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n1,n7) )).++fof(axN91_38,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n1,n8) )).++fof(axN91_39,axiom,+ ( p(n9,n1,n3)+ => ~ p(n9,n1,n9) )).++fof(axN91_45,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n1,n5) )).++fof(axN91_46,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n1,n6) )).++fof(axN91_47,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n1,n7) )).++fof(axN91_48,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n1,n8) )).++fof(axN91_49,axiom,+ ( p(n9,n1,n4)+ => ~ p(n9,n1,n9) )).++fof(axN91_56,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n1,n6) )).++fof(axN91_57,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n1,n7) )).++fof(axN91_58,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n1,n8) )).++fof(axN91_59,axiom,+ ( p(n9,n1,n5)+ => ~ p(n9,n1,n9) )).++fof(axN91_67,axiom,+ ( p(n9,n1,n6)+ => ~ p(n9,n1,n7) )).++fof(axN91_68,axiom,+ ( p(n9,n1,n6)+ => ~ p(n9,n1,n8) )).++fof(axN91_69,axiom,+ ( p(n9,n1,n6)+ => ~ p(n9,n1,n9) )).++fof(axN91_78,axiom,+ ( p(n9,n1,n7)+ => ~ p(n9,n1,n8) )).++fof(axN91_79,axiom,+ ( p(n9,n1,n7)+ => ~ p(n9,n1,n9) )).++fof(axN91_89,axiom,+ ( p(n9,n1,n8)+ => ~ p(n9,n1,n9) )).++fof(axN92_12,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n2,n2) )).++fof(axN92_13,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n2,n3) )).++fof(axN92_14,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n2,n4) )).++fof(axN92_15,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n2,n5) )).++fof(axN92_16,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n2,n6) )).++fof(axN92_17,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n2,n7) )).++fof(axN92_18,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n2,n8) )).++fof(axN92_19,axiom,+ ( p(n9,n2,n1)+ => ~ p(n9,n2,n9) )).++fof(axN92_23,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n2,n3) )).++fof(axN92_24,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n2,n4) )).++fof(axN92_25,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n2,n5) )).++fof(axN92_26,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n2,n6) )).++fof(axN92_27,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n2,n7) )).++fof(axN92_28,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n2,n8) )).++fof(axN92_29,axiom,+ ( p(n9,n2,n2)+ => ~ p(n9,n2,n9) )).++fof(axN92_34,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n2,n4) )).++fof(axN92_35,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n2,n5) )).++fof(axN92_36,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n2,n6) )).++fof(axN92_37,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n2,n7) )).++fof(axN92_38,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n2,n8) )).++fof(axN92_39,axiom,+ ( p(n9,n2,n3)+ => ~ p(n9,n2,n9) )).++fof(axN92_45,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n2,n5) )).++fof(axN92_46,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n2,n6) )).++fof(axN92_47,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n2,n7) )).++fof(axN92_48,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n2,n8) )).++fof(axN92_49,axiom,+ ( p(n9,n2,n4)+ => ~ p(n9,n2,n9) )).++fof(axN92_56,axiom,+ ( p(n9,n2,n5)+ => ~ p(n9,n2,n6) )).++fof(axN92_57,axiom,+ ( p(n9,n2,n5)+ => ~ p(n9,n2,n7) )).++fof(axN92_58,axiom,+ ( p(n9,n2,n5)+ => ~ p(n9,n2,n8) )).++fof(axN92_59,axiom,+ ( p(n9,n2,n5)+ => ~ p(n9,n2,n9) )).++fof(axN92_67,axiom,+ ( p(n9,n2,n6)+ => ~ p(n9,n2,n7) )).++fof(axN92_68,axiom,+ ( p(n9,n2,n6)+ => ~ p(n9,n2,n8) )).++fof(axN92_69,axiom,+ ( p(n9,n2,n6)+ => ~ p(n9,n2,n9) )).++fof(axN92_78,axiom,+ ( p(n9,n2,n7)+ => ~ p(n9,n2,n8) )).++fof(axN92_79,axiom,+ ( p(n9,n2,n7)+ => ~ p(n9,n2,n9) )).++fof(axN92_89,axiom,+ ( p(n9,n2,n8)+ => ~ p(n9,n2,n9) )).++fof(axN93_12,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n3,n2) )).++fof(axN93_13,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n3,n3) )).++fof(axN93_14,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n3,n4) )).++fof(axN93_15,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n3,n5) )).++fof(axN93_16,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n3,n6) )).++fof(axN93_17,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n3,n7) )).++fof(axN93_18,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n3,n8) )).++fof(axN93_19,axiom,+ ( p(n9,n3,n1)+ => ~ p(n9,n3,n9) )).++fof(axN93_23,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n3,n3) )).++fof(axN93_24,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n3,n4) )).++fof(axN93_25,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n3,n5) )).++fof(axN93_26,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n3,n6) )).++fof(axN93_27,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n3,n7) )).++fof(axN93_28,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n3,n8) )).++fof(axN93_29,axiom,+ ( p(n9,n3,n2)+ => ~ p(n9,n3,n9) )).++fof(axN93_34,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n3,n4) )).++fof(axN93_35,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n3,n5) )).++fof(axN93_36,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n3,n6) )).++fof(axN93_37,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n3,n7) )).++fof(axN93_38,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n3,n8) )).++fof(axN93_39,axiom,+ ( p(n9,n3,n3)+ => ~ p(n9,n3,n9) )).++fof(axN93_45,axiom,+ ( p(n9,n3,n4)+ => ~ p(n9,n3,n5) )).++fof(axN93_46,axiom,+ ( p(n9,n3,n4)+ => ~ p(n9,n3,n6) )).++fof(axN93_47,axiom,+ ( p(n9,n3,n4)+ => ~ p(n9,n3,n7) )).++fof(axN93_48,axiom,+ ( p(n9,n3,n4)+ => ~ p(n9,n3,n8) )).++fof(axN93_49,axiom,+ ( p(n9,n3,n4)+ => ~ p(n9,n3,n9) )).++fof(axN93_56,axiom,+ ( p(n9,n3,n5)+ => ~ p(n9,n3,n6) )).++fof(axN93_57,axiom,+ ( p(n9,n3,n5)+ => ~ p(n9,n3,n7) )).++fof(axN93_58,axiom,+ ( p(n9,n3,n5)+ => ~ p(n9,n3,n8) )).++fof(axN93_59,axiom,+ ( p(n9,n3,n5)+ => ~ p(n9,n3,n9) )).++fof(axN93_67,axiom,+ ( p(n9,n3,n6)+ => ~ p(n9,n3,n7) )).++fof(axN93_68,axiom,+ ( p(n9,n3,n6)+ => ~ p(n9,n3,n8) )).++fof(axN93_69,axiom,+ ( p(n9,n3,n6)+ => ~ p(n9,n3,n9) )).++fof(axN93_78,axiom,+ ( p(n9,n3,n7)+ => ~ p(n9,n3,n8) )).++fof(axN93_79,axiom,+ ( p(n9,n3,n7)+ => ~ p(n9,n3,n9) )).++fof(axN93_89,axiom,+ ( p(n9,n3,n8)+ => ~ p(n9,n3,n9) )).++fof(axN94_12,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n4,n2) )).++fof(axN94_13,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n4,n3) )).++fof(axN94_14,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n4,n4) )).++fof(axN94_15,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n4,n5) )).++fof(axN94_16,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n4,n6) )).++fof(axN94_17,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n4,n7) )).++fof(axN94_18,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n4,n8) )).++fof(axN94_19,axiom,+ ( p(n9,n4,n1)+ => ~ p(n9,n4,n9) )).++fof(axN94_23,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n4,n3) )).++fof(axN94_24,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n4,n4) )).++fof(axN94_25,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n4,n5) )).++fof(axN94_26,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n4,n6) )).++fof(axN94_27,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n4,n7) )).++fof(axN94_28,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n4,n8) )).++fof(axN94_29,axiom,+ ( p(n9,n4,n2)+ => ~ p(n9,n4,n9) )).++fof(axN94_34,axiom,+ ( p(n9,n4,n3)+ => ~ p(n9,n4,n4) )).++fof(axN94_35,axiom,+ ( p(n9,n4,n3)+ => ~ p(n9,n4,n5) )).++fof(axN94_36,axiom,+ ( p(n9,n4,n3)+ => ~ p(n9,n4,n6) )).++fof(axN94_37,axiom,+ ( p(n9,n4,n3)+ => ~ p(n9,n4,n7) )).++fof(axN94_38,axiom,+ ( p(n9,n4,n3)+ => ~ p(n9,n4,n8) )).++fof(axN94_39,axiom,+ ( p(n9,n4,n3)+ => ~ p(n9,n4,n9) )).++fof(axN94_45,axiom,+ ( p(n9,n4,n4)+ => ~ p(n9,n4,n5) )).++fof(axN94_46,axiom,+ ( p(n9,n4,n4)+ => ~ p(n9,n4,n6) )).++fof(axN94_47,axiom,+ ( p(n9,n4,n4)+ => ~ p(n9,n4,n7) )).++fof(axN94_48,axiom,+ ( p(n9,n4,n4)+ => ~ p(n9,n4,n8) )).++fof(axN94_49,axiom,+ ( p(n9,n4,n4)+ => ~ p(n9,n4,n9) )).++fof(axN94_56,axiom,+ ( p(n9,n4,n5)+ => ~ p(n9,n4,n6) )).++fof(axN94_57,axiom,+ ( p(n9,n4,n5)+ => ~ p(n9,n4,n7) )).++fof(axN94_58,axiom,+ ( p(n9,n4,n5)+ => ~ p(n9,n4,n8) )).++fof(axN94_59,axiom,+ ( p(n9,n4,n5)+ => ~ p(n9,n4,n9) )).++fof(axN94_67,axiom,+ ( p(n9,n4,n6)+ => ~ p(n9,n4,n7) )).++fof(axN94_68,axiom,+ ( p(n9,n4,n6)+ => ~ p(n9,n4,n8) )).++fof(axN94_69,axiom,+ ( p(n9,n4,n6)+ => ~ p(n9,n4,n9) )).++fof(axN94_78,axiom,+ ( p(n9,n4,n7)+ => ~ p(n9,n4,n8) )).++fof(axN94_79,axiom,+ ( p(n9,n4,n7)+ => ~ p(n9,n4,n9) )).++fof(axN94_89,axiom,+ ( p(n9,n4,n8)+ => ~ p(n9,n4,n9) )).++fof(axN95_12,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n5,n2) )).++fof(axN95_13,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n5,n3) )).++fof(axN95_14,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n5,n4) )).++fof(axN95_15,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n5,n5) )).++fof(axN95_16,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n5,n6) )).++fof(axN95_17,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n5,n7) )).++fof(axN95_18,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n5,n8) )).++fof(axN95_19,axiom,+ ( p(n9,n5,n1)+ => ~ p(n9,n5,n9) )).++fof(axN95_23,axiom,+ ( p(n9,n5,n2)+ => ~ p(n9,n5,n3) )).++fof(axN95_24,axiom,+ ( p(n9,n5,n2)+ => ~ p(n9,n5,n4) )).++fof(axN95_25,axiom,+ ( p(n9,n5,n2)+ => ~ p(n9,n5,n5) )).++fof(axN95_26,axiom,+ ( p(n9,n5,n2)+ => ~ p(n9,n5,n6) )).++fof(axN95_27,axiom,+ ( p(n9,n5,n2)+ => ~ p(n9,n5,n7) )).++fof(axN95_28,axiom,+ ( p(n9,n5,n2)+ => ~ p(n9,n5,n8) )).++fof(axN95_29,axiom,+ ( p(n9,n5,n2)+ => ~ p(n9,n5,n9) )).++fof(axN95_34,axiom,+ ( p(n9,n5,n3)+ => ~ p(n9,n5,n4) )).++fof(axN95_35,axiom,+ ( p(n9,n5,n3)+ => ~ p(n9,n5,n5) )).++fof(axN95_36,axiom,+ ( p(n9,n5,n3)+ => ~ p(n9,n5,n6) )).++fof(axN95_37,axiom,+ ( p(n9,n5,n3)+ => ~ p(n9,n5,n7) )).++fof(axN95_38,axiom,+ ( p(n9,n5,n3)+ => ~ p(n9,n5,n8) )).++fof(axN95_39,axiom,+ ( p(n9,n5,n3)+ => ~ p(n9,n5,n9) )).++fof(axN95_45,axiom,+ ( p(n9,n5,n4)+ => ~ p(n9,n5,n5) )).++fof(axN95_46,axiom,+ ( p(n9,n5,n4)+ => ~ p(n9,n5,n6) )).++fof(axN95_47,axiom,+ ( p(n9,n5,n4)+ => ~ p(n9,n5,n7) )).++fof(axN95_48,axiom,+ ( p(n9,n5,n4)+ => ~ p(n9,n5,n8) )).++fof(axN95_49,axiom,+ ( p(n9,n5,n4)+ => ~ p(n9,n5,n9) )).++fof(axN95_56,axiom,+ ( p(n9,n5,n5)+ => ~ p(n9,n5,n6) )).++fof(axN95_57,axiom,+ ( p(n9,n5,n5)+ => ~ p(n9,n5,n7) )).++fof(axN95_58,axiom,+ ( p(n9,n5,n5)+ => ~ p(n9,n5,n8) )).++fof(axN95_59,axiom,+ ( p(n9,n5,n5)+ => ~ p(n9,n5,n9) )).++fof(axN95_67,axiom,+ ( p(n9,n5,n6)+ => ~ p(n9,n5,n7) )).++fof(axN95_68,axiom,+ ( p(n9,n5,n6)+ => ~ p(n9,n5,n8) )).++fof(axN95_69,axiom,+ ( p(n9,n5,n6)+ => ~ p(n9,n5,n9) )).++fof(axN95_78,axiom,+ ( p(n9,n5,n7)+ => ~ p(n9,n5,n8) )).++fof(axN95_79,axiom,+ ( p(n9,n5,n7)+ => ~ p(n9,n5,n9) )).++fof(axN95_89,axiom,+ ( p(n9,n5,n8)+ => ~ p(n9,n5,n9) )).++fof(axN96_12,axiom,+ ( p(n9,n6,n1)+ => ~ p(n9,n6,n2) )).++fof(axN96_13,axiom,+ ( p(n9,n6,n1)+ => ~ p(n9,n6,n3) )).++fof(axN96_14,axiom,+ ( p(n9,n6,n1)+ => ~ p(n9,n6,n4) )).++fof(axN96_15,axiom,+ ( p(n9,n6,n1)+ => ~ p(n9,n6,n5) )).++fof(axN96_16,axiom,+ ( p(n9,n6,n1)+ => ~ p(n9,n6,n6) )).++fof(axN96_17,axiom,+ ( p(n9,n6,n1)+ => ~ p(n9,n6,n7) )).++fof(axN96_18,axiom,+ ( p(n9,n6,n1)+ => ~ p(n9,n6,n8) )).++fof(axN96_19,axiom,+ ( p(n9,n6,n1)+ => ~ p(n9,n6,n9) )).++fof(axN96_23,axiom,+ ( p(n9,n6,n2)+ => ~ p(n9,n6,n3) )).++fof(axN96_24,axiom,+ ( p(n9,n6,n2)+ => ~ p(n9,n6,n4) )).++fof(axN96_25,axiom,+ ( p(n9,n6,n2)+ => ~ p(n9,n6,n5) )).++fof(axN96_26,axiom,+ ( p(n9,n6,n2)+ => ~ p(n9,n6,n6) )).++fof(axN96_27,axiom,+ ( p(n9,n6,n2)+ => ~ p(n9,n6,n7) )).++fof(axN96_28,axiom,+ ( p(n9,n6,n2)+ => ~ p(n9,n6,n8) )).++fof(axN96_29,axiom,+ ( p(n9,n6,n2)+ => ~ p(n9,n6,n9) )).++fof(axN96_34,axiom,+ ( p(n9,n6,n3)+ => ~ p(n9,n6,n4) )).++fof(axN96_35,axiom,+ ( p(n9,n6,n3)+ => ~ p(n9,n6,n5) )).++fof(axN96_36,axiom,+ ( p(n9,n6,n3)+ => ~ p(n9,n6,n6) )).++fof(axN96_37,axiom,+ ( p(n9,n6,n3)+ => ~ p(n9,n6,n7) )).++fof(axN96_38,axiom,+ ( p(n9,n6,n3)+ => ~ p(n9,n6,n8) )).++fof(axN96_39,axiom,+ ( p(n9,n6,n3)+ => ~ p(n9,n6,n9) )).++fof(axN96_45,axiom,+ ( p(n9,n6,n4)+ => ~ p(n9,n6,n5) )).++fof(axN96_46,axiom,+ ( p(n9,n6,n4)+ => ~ p(n9,n6,n6) )).++fof(axN96_47,axiom,+ ( p(n9,n6,n4)+ => ~ p(n9,n6,n7) )).++fof(axN96_48,axiom,+ ( p(n9,n6,n4)+ => ~ p(n9,n6,n8) )).++fof(axN96_49,axiom,+ ( p(n9,n6,n4)+ => ~ p(n9,n6,n9) )).++fof(axN96_56,axiom,+ ( p(n9,n6,n5)+ => ~ p(n9,n6,n6) )).++fof(axN96_57,axiom,+ ( p(n9,n6,n5)+ => ~ p(n9,n6,n7) )).++fof(axN96_58,axiom,+ ( p(n9,n6,n5)+ => ~ p(n9,n6,n8) )).++fof(axN96_59,axiom,+ ( p(n9,n6,n5)+ => ~ p(n9,n6,n9) )).++fof(axN96_67,axiom,+ ( p(n9,n6,n6)+ => ~ p(n9,n6,n7) )).++fof(axN96_68,axiom,+ ( p(n9,n6,n6)+ => ~ p(n9,n6,n8) )).++fof(axN96_69,axiom,+ ( p(n9,n6,n6)+ => ~ p(n9,n6,n9) )).++fof(axN96_78,axiom,+ ( p(n9,n6,n7)+ => ~ p(n9,n6,n8) )).++fof(axN96_79,axiom,+ ( p(n9,n6,n7)+ => ~ p(n9,n6,n9) )).++fof(axN96_89,axiom,+ ( p(n9,n6,n8)+ => ~ p(n9,n6,n9) )).++fof(axN97_12,axiom,+ ( p(n9,n7,n1)+ => ~ p(n9,n7,n2) )).++fof(axN97_13,axiom,+ ( p(n9,n7,n1)+ => ~ p(n9,n7,n3) )).++fof(axN97_14,axiom,+ ( p(n9,n7,n1)+ => ~ p(n9,n7,n4) )).++fof(axN97_15,axiom,+ ( p(n9,n7,n1)+ => ~ p(n9,n7,n5) )).++fof(axN97_16,axiom,+ ( p(n9,n7,n1)+ => ~ p(n9,n7,n6) )).++fof(axN97_17,axiom,+ ( p(n9,n7,n1)+ => ~ p(n9,n7,n7) )).++fof(axN97_18,axiom,+ ( p(n9,n7,n1)+ => ~ p(n9,n7,n8) )).++fof(axN97_19,axiom,+ ( p(n9,n7,n1)+ => ~ p(n9,n7,n9) )).++fof(axN97_23,axiom,+ ( p(n9,n7,n2)+ => ~ p(n9,n7,n3) )).++fof(axN97_24,axiom,+ ( p(n9,n7,n2)+ => ~ p(n9,n7,n4) )).++fof(axN97_25,axiom,+ ( p(n9,n7,n2)+ => ~ p(n9,n7,n5) )).++fof(axN97_26,axiom,+ ( p(n9,n7,n2)+ => ~ p(n9,n7,n6) )).++fof(axN97_27,axiom,+ ( p(n9,n7,n2)+ => ~ p(n9,n7,n7) )).++fof(axN97_28,axiom,+ ( p(n9,n7,n2)+ => ~ p(n9,n7,n8) )).++fof(axN97_29,axiom,+ ( p(n9,n7,n2)+ => ~ p(n9,n7,n9) )).++fof(axN97_34,axiom,+ ( p(n9,n7,n3)+ => ~ p(n9,n7,n4) )).++fof(axN97_35,axiom,+ ( p(n9,n7,n3)+ => ~ p(n9,n7,n5) )).++fof(axN97_36,axiom,+ ( p(n9,n7,n3)+ => ~ p(n9,n7,n6) )).++fof(axN97_37,axiom,+ ( p(n9,n7,n3)+ => ~ p(n9,n7,n7) )).++fof(axN97_38,axiom,+ ( p(n9,n7,n3)+ => ~ p(n9,n7,n8) )).++fof(axN97_39,axiom,+ ( p(n9,n7,n3)+ => ~ p(n9,n7,n9) )).++fof(axN97_45,axiom,+ ( p(n9,n7,n4)+ => ~ p(n9,n7,n5) )).++fof(axN97_46,axiom,+ ( p(n9,n7,n4)+ => ~ p(n9,n7,n6) )).++fof(axN97_47,axiom,+ ( p(n9,n7,n4)+ => ~ p(n9,n7,n7) )).++fof(axN97_48,axiom,+ ( p(n9,n7,n4)+ => ~ p(n9,n7,n8) )).++fof(axN97_49,axiom,+ ( p(n9,n7,n4)+ => ~ p(n9,n7,n9) )).++fof(axN97_56,axiom,+ ( p(n9,n7,n5)+ => ~ p(n9,n7,n6) )).++fof(axN97_57,axiom,+ ( p(n9,n7,n5)+ => ~ p(n9,n7,n7) )).++fof(axN97_58,axiom,+ ( p(n9,n7,n5)+ => ~ p(n9,n7,n8) )).++fof(axN97_59,axiom,+ ( p(n9,n7,n5)+ => ~ p(n9,n7,n9) )).++fof(axN97_67,axiom,+ ( p(n9,n7,n6)+ => ~ p(n9,n7,n7) )).++fof(axN97_68,axiom,+ ( p(n9,n7,n6)+ => ~ p(n9,n7,n8) )).++fof(axN97_69,axiom,+ ( p(n9,n7,n6)+ => ~ p(n9,n7,n9) )).++fof(axN97_78,axiom,+ ( p(n9,n7,n7)+ => ~ p(n9,n7,n8) )).++fof(axN97_79,axiom,+ ( p(n9,n7,n7)+ => ~ p(n9,n7,n9) )).++fof(axN97_89,axiom,+ ( p(n9,n7,n8)+ => ~ p(n9,n7,n9) )).++fof(axN98_12,axiom,+ ( p(n9,n8,n1)+ => ~ p(n9,n8,n2) )).++fof(axN98_13,axiom,+ ( p(n9,n8,n1)+ => ~ p(n9,n8,n3) )).++fof(axN98_14,axiom,+ ( p(n9,n8,n1)+ => ~ p(n9,n8,n4) )).++fof(axN98_15,axiom,+ ( p(n9,n8,n1)+ => ~ p(n9,n8,n5) )).++fof(axN98_16,axiom,+ ( p(n9,n8,n1)+ => ~ p(n9,n8,n6) )).++fof(axN98_17,axiom,+ ( p(n9,n8,n1)+ => ~ p(n9,n8,n7) )).++fof(axN98_18,axiom,+ ( p(n9,n8,n1)+ => ~ p(n9,n8,n8) )).++fof(axN98_19,axiom,+ ( p(n9,n8,n1)+ => ~ p(n9,n8,n9) )).++fof(axN98_23,axiom,+ ( p(n9,n8,n2)+ => ~ p(n9,n8,n3) )).++fof(axN98_24,axiom,+ ( p(n9,n8,n2)+ => ~ p(n9,n8,n4) )).++fof(axN98_25,axiom,+ ( p(n9,n8,n2)+ => ~ p(n9,n8,n5) )).++fof(axN98_26,axiom,+ ( p(n9,n8,n2)+ => ~ p(n9,n8,n6) )).++fof(axN98_27,axiom,+ ( p(n9,n8,n2)+ => ~ p(n9,n8,n7) )).++fof(axN98_28,axiom,+ ( p(n9,n8,n2)+ => ~ p(n9,n8,n8) )).++fof(axN98_29,axiom,+ ( p(n9,n8,n2)+ => ~ p(n9,n8,n9) )).++fof(axN98_34,axiom,+ ( p(n9,n8,n3)+ => ~ p(n9,n8,n4) )).++fof(axN98_35,axiom,+ ( p(n9,n8,n3)+ => ~ p(n9,n8,n5) )).++fof(axN98_36,axiom,+ ( p(n9,n8,n3)+ => ~ p(n9,n8,n6) )).++fof(axN98_37,axiom,+ ( p(n9,n8,n3)+ => ~ p(n9,n8,n7) )).++fof(axN98_38,axiom,+ ( p(n9,n8,n3)+ => ~ p(n9,n8,n8) )).++fof(axN98_39,axiom,+ ( p(n9,n8,n3)+ => ~ p(n9,n8,n9) )).++fof(axN98_45,axiom,+ ( p(n9,n8,n4)+ => ~ p(n9,n8,n5) )).++fof(axN98_46,axiom,+ ( p(n9,n8,n4)+ => ~ p(n9,n8,n6) )).++fof(axN98_47,axiom,+ ( p(n9,n8,n4)+ => ~ p(n9,n8,n7) )).++fof(axN98_48,axiom,+ ( p(n9,n8,n4)+ => ~ p(n9,n8,n8) )).++fof(axN98_49,axiom,+ ( p(n9,n8,n4)+ => ~ p(n9,n8,n9) )).++fof(axN98_56,axiom,+ ( p(n9,n8,n5)+ => ~ p(n9,n8,n6) )).++fof(axN98_57,axiom,+ ( p(n9,n8,n5)+ => ~ p(n9,n8,n7) )).++fof(axN98_58,axiom,+ ( p(n9,n8,n5)+ => ~ p(n9,n8,n8) )).++fof(axN98_59,axiom,+ ( p(n9,n8,n5)+ => ~ p(n9,n8,n9) )).++fof(axN98_67,axiom,+ ( p(n9,n8,n6)+ => ~ p(n9,n8,n7) )).++fof(axN98_68,axiom,+ ( p(n9,n8,n6)+ => ~ p(n9,n8,n8) )).++fof(axN98_69,axiom,+ ( p(n9,n8,n6)+ => ~ p(n9,n8,n9) )).++fof(axN98_78,axiom,+ ( p(n9,n8,n7)+ => ~ p(n9,n8,n8) )).++fof(axN98_79,axiom,+ ( p(n9,n8,n7)+ => ~ p(n9,n8,n9) )).++fof(axN98_89,axiom,+ ( p(n9,n8,n8)+ => ~ p(n9,n8,n9) )).++fof(axN99_12,axiom,+ ( p(n9,n9,n1)+ => ~ p(n9,n9,n2) )).++fof(axN99_13,axiom,+ ( p(n9,n9,n1)+ => ~ p(n9,n9,n3) )).++fof(axN99_14,axiom,+ ( p(n9,n9,n1)+ => ~ p(n9,n9,n4) )).++fof(axN99_15,axiom,+ ( p(n9,n9,n1)+ => ~ p(n9,n9,n5) )).++fof(axN99_16,axiom,+ ( p(n9,n9,n1)+ => ~ p(n9,n9,n6) )).++fof(axN99_17,axiom,+ ( p(n9,n9,n1)+ => ~ p(n9,n9,n7) )).++fof(axN99_18,axiom,+ ( p(n9,n9,n1)+ => ~ p(n9,n9,n8) )).++fof(axN99_19,axiom,+ ( p(n9,n9,n1)+ => ~ p(n9,n9,n9) )).++fof(axN99_23,axiom,+ ( p(n9,n9,n2)+ => ~ p(n9,n9,n3) )).++fof(axN99_24,axiom,+ ( p(n9,n9,n2)+ => ~ p(n9,n9,n4) )).++fof(axN99_25,axiom,+ ( p(n9,n9,n2)+ => ~ p(n9,n9,n5) )).++fof(axN99_26,axiom,+ ( p(n9,n9,n2)+ => ~ p(n9,n9,n6) )).++fof(axN99_27,axiom,+ ( p(n9,n9,n2)+ => ~ p(n9,n9,n7) )).++fof(axN99_28,axiom,+ ( p(n9,n9,n2)+ => ~ p(n9,n9,n8) )).++fof(axN99_29,axiom,+ ( p(n9,n9,n2)+ => ~ p(n9,n9,n9) )).++fof(axN99_34,axiom,+ ( p(n9,n9,n3)+ => ~ p(n9,n9,n4) )).++fof(axN99_35,axiom,+ ( p(n9,n9,n3)+ => ~ p(n9,n9,n5) )).++fof(axN99_36,axiom,+ ( p(n9,n9,n3)+ => ~ p(n9,n9,n6) )).++fof(axN99_37,axiom,+ ( p(n9,n9,n3)+ => ~ p(n9,n9,n7) )).++fof(axN99_38,axiom,+ ( p(n9,n9,n3)+ => ~ p(n9,n9,n8) )).++fof(axN99_39,axiom,+ ( p(n9,n9,n3)+ => ~ p(n9,n9,n9) )).++fof(axN99_45,axiom,+ ( p(n9,n9,n4)+ => ~ p(n9,n9,n5) )).++fof(axN99_46,axiom,+ ( p(n9,n9,n4)+ => ~ p(n9,n9,n6) )).++fof(axN99_47,axiom,+ ( p(n9,n9,n4)+ => ~ p(n9,n9,n7) )).++fof(axN99_48,axiom,+ ( p(n9,n9,n4)+ => ~ p(n9,n9,n8) )).++fof(axN99_49,axiom,+ ( p(n9,n9,n4)+ => ~ p(n9,n9,n9) )).++fof(axN99_56,axiom,+ ( p(n9,n9,n5)+ => ~ p(n9,n9,n6) )).++fof(axN99_57,axiom,+ ( p(n9,n9,n5)+ => ~ p(n9,n9,n7) )).++fof(axN99_58,axiom,+ ( p(n9,n9,n5)+ => ~ p(n9,n9,n8) )).++fof(axN99_59,axiom,+ ( p(n9,n9,n5)+ => ~ p(n9,n9,n9) )).++fof(axN99_67,axiom,+ ( p(n9,n9,n6)+ => ~ p(n9,n9,n7) )).++fof(axN99_68,axiom,+ ( p(n9,n9,n6)+ => ~ p(n9,n9,n8) )).++fof(axN99_69,axiom,+ ( p(n9,n9,n6)+ => ~ p(n9,n9,n9) )).++fof(axN99_78,axiom,+ ( p(n9,n9,n7)+ => ~ p(n9,n9,n8) )).++fof(axN99_79,axiom,+ ( p(n9,n9,n7)+ => ~ p(n9,n9,n9) )).++fof(axN99_89,axiom,+ ( p(n9,n9,n8)+ => ~ p(n9,n9,n9) )).++% 3x3 Quadrat constraints++fof(axN11_22_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n2,n2,n1) )).++fof(axN11_22_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n2,n2,n2) )).++fof(axN11_22_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n2,n2,n3) )).++fof(axN11_22_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n2,n2,n4) )).++fof(axN11_22_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n2,n2,n5) )).++fof(axN11_22_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n2,n2,n6) )).++fof(axN11_22_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n2,n2,n7) )).++fof(axN11_22_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n2,n2,n8) )).++fof(axN11_22_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n2,n2,n9) )).++fof(axN11_23_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n2,n3,n1) )).++fof(axN11_23_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n2,n3,n2) )).++fof(axN11_23_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n2,n3,n3) )).++fof(axN11_23_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n2,n3,n4) )).++fof(axN11_23_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n2,n3,n5) )).++fof(axN11_23_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n2,n3,n6) )).++fof(axN11_23_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n2,n3,n7) )).++fof(axN11_23_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n2,n3,n8) )).++fof(axN11_23_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n2,n3,n9) )).++fof(axN11_32_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n3,n2,n1) )).++fof(axN11_32_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n3,n2,n2) )).++fof(axN11_32_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n3,n2,n3) )).++fof(axN11_32_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n3,n2,n4) )).++fof(axN11_32_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n3,n2,n5) )).++fof(axN11_32_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n3,n2,n6) )).++fof(axN11_32_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n3,n2,n7) )).++fof(axN11_32_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n3,n2,n8) )).++fof(axN11_32_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n3,n2,n9) )).++fof(axN11_33_1,axiom,+ ( p(n1,n1,n1)+ => ~ p(n3,n3,n1) )).++fof(axN11_33_2,axiom,+ ( p(n1,n1,n2)+ => ~ p(n3,n3,n2) )).++fof(axN11_33_3,axiom,+ ( p(n1,n1,n3)+ => ~ p(n3,n3,n3) )).++fof(axN11_33_4,axiom,+ ( p(n1,n1,n4)+ => ~ p(n3,n3,n4) )).++fof(axN11_33_5,axiom,+ ( p(n1,n1,n5)+ => ~ p(n3,n3,n5) )).++fof(axN11_33_6,axiom,+ ( p(n1,n1,n6)+ => ~ p(n3,n3,n6) )).++fof(axN11_33_7,axiom,+ ( p(n1,n1,n7)+ => ~ p(n3,n3,n7) )).++fof(axN11_33_8,axiom,+ ( p(n1,n1,n8)+ => ~ p(n3,n3,n8) )).++fof(axN11_33_9,axiom,+ ( p(n1,n1,n9)+ => ~ p(n3,n3,n9) )).++fof(axN12_21_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n2,n1,n1) )).++fof(axN12_21_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n2,n1,n2) )).++fof(axN12_21_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n2,n1,n3) )).++fof(axN12_21_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n2,n1,n4) )).++fof(axN12_21_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n2,n1,n5) )).++fof(axN12_21_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n2,n1,n6) )).++fof(axN12_21_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n2,n1,n7) )).++fof(axN12_21_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n2,n1,n8) )).++fof(axN12_21_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n2,n1,n9) )).++fof(axN12_23_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n2,n3,n1) )).++fof(axN12_23_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n2,n3,n2) )).++fof(axN12_23_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n2,n3,n3) )).++fof(axN12_23_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n2,n3,n4) )).++fof(axN12_23_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n2,n3,n5) )).++fof(axN12_23_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n2,n3,n6) )).++fof(axN12_23_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n2,n3,n7) )).++fof(axN12_23_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n2,n3,n8) )).++fof(axN12_23_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n2,n3,n9) )).++fof(axN12_31_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n3,n1,n1) )).++fof(axN12_31_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n3,n1,n2) )).++fof(axN12_31_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n3,n1,n3) )).++fof(axN12_31_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n3,n1,n4) )).++fof(axN12_31_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n3,n1,n5) )).++fof(axN12_31_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n3,n1,n6) )).++fof(axN12_31_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n3,n1,n7) )).++fof(axN12_31_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n3,n1,n8) )).++fof(axN12_31_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n3,n1,n9) )).++fof(axN12_33_1,axiom,+ ( p(n1,n2,n1)+ => ~ p(n3,n3,n1) )).++fof(axN12_33_2,axiom,+ ( p(n1,n2,n2)+ => ~ p(n3,n3,n2) )).++fof(axN12_33_3,axiom,+ ( p(n1,n2,n3)+ => ~ p(n3,n3,n3) )).++fof(axN12_33_4,axiom,+ ( p(n1,n2,n4)+ => ~ p(n3,n3,n4) )).++fof(axN12_33_5,axiom,+ ( p(n1,n2,n5)+ => ~ p(n3,n3,n5) )).++fof(axN12_33_6,axiom,+ ( p(n1,n2,n6)+ => ~ p(n3,n3,n6) )).++fof(axN12_33_7,axiom,+ ( p(n1,n2,n7)+ => ~ p(n3,n3,n7) )).++fof(axN12_33_8,axiom,+ ( p(n1,n2,n8)+ => ~ p(n3,n3,n8) )).++fof(axN12_33_9,axiom,+ ( p(n1,n2,n9)+ => ~ p(n3,n3,n9) )).++fof(axN13_21_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n2,n1,n1) )).++fof(axN13_21_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n2,n1,n2) )).++fof(axN13_21_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n2,n1,n3) )).++fof(axN13_21_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n2,n1,n4) )).++fof(axN13_21_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n2,n1,n5) )).++fof(axN13_21_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n2,n1,n6) )).++fof(axN13_21_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n2,n1,n7) )).++fof(axN13_21_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n2,n1,n8) )).++fof(axN13_21_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n2,n1,n9) )).++fof(axN13_22_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n2,n2,n1) )).++fof(axN13_22_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n2,n2,n2) )).++fof(axN13_22_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n2,n2,n3) )).++fof(axN13_22_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n2,n2,n4) )).++fof(axN13_22_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n2,n2,n5) )).++fof(axN13_22_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n2,n2,n6) )).++fof(axN13_22_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n2,n2,n7) )).++fof(axN13_22_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n2,n2,n8) )).++fof(axN13_22_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n2,n2,n9) )).++fof(axN13_31_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n3,n1,n1) )).++fof(axN13_31_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n3,n1,n2) )).++fof(axN13_31_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n3,n1,n3) )).++fof(axN13_31_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n3,n1,n4) )).++fof(axN13_31_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n3,n1,n5) )).++fof(axN13_31_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n3,n1,n6) )).++fof(axN13_31_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n3,n1,n7) )).++fof(axN13_31_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n3,n1,n8) )).++fof(axN13_31_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n3,n1,n9) )).++fof(axN13_32_1,axiom,+ ( p(n1,n3,n1)+ => ~ p(n3,n2,n1) )).++fof(axN13_32_2,axiom,+ ( p(n1,n3,n2)+ => ~ p(n3,n2,n2) )).++fof(axN13_32_3,axiom,+ ( p(n1,n3,n3)+ => ~ p(n3,n2,n3) )).++fof(axN13_32_4,axiom,+ ( p(n1,n3,n4)+ => ~ p(n3,n2,n4) )).++fof(axN13_32_5,axiom,+ ( p(n1,n3,n5)+ => ~ p(n3,n2,n5) )).++fof(axN13_32_6,axiom,+ ( p(n1,n3,n6)+ => ~ p(n3,n2,n6) )).++fof(axN13_32_7,axiom,+ ( p(n1,n3,n7)+ => ~ p(n3,n2,n7) )).++fof(axN13_32_8,axiom,+ ( p(n1,n3,n8)+ => ~ p(n3,n2,n8) )).++fof(axN13_32_9,axiom,+ ( p(n1,n3,n9)+ => ~ p(n3,n2,n9) )).++fof(axN21_32_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n3,n2,n1) )).++fof(axN21_32_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n3,n2,n2) )).++fof(axN21_32_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n3,n2,n3) )).++fof(axN21_32_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n3,n2,n4) )).++fof(axN21_32_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n3,n2,n5) )).++fof(axN21_32_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n3,n2,n6) )).++fof(axN21_32_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n3,n2,n7) )).++fof(axN21_32_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n3,n2,n8) )).++fof(axN21_32_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n3,n2,n9) )).++fof(axN21_33_1,axiom,+ ( p(n2,n1,n1)+ => ~ p(n3,n3,n1) )).++fof(axN21_33_2,axiom,+ ( p(n2,n1,n2)+ => ~ p(n3,n3,n2) )).++fof(axN21_33_3,axiom,+ ( p(n2,n1,n3)+ => ~ p(n3,n3,n3) )).++fof(axN21_33_4,axiom,+ ( p(n2,n1,n4)+ => ~ p(n3,n3,n4) )).++fof(axN21_33_5,axiom,+ ( p(n2,n1,n5)+ => ~ p(n3,n3,n5) )).++fof(axN21_33_6,axiom,+ ( p(n2,n1,n6)+ => ~ p(n3,n3,n6) )).++fof(axN21_33_7,axiom,+ ( p(n2,n1,n7)+ => ~ p(n3,n3,n7) )).++fof(axN21_33_8,axiom,+ ( p(n2,n1,n8)+ => ~ p(n3,n3,n8) )).++fof(axN21_33_9,axiom,+ ( p(n2,n1,n9)+ => ~ p(n3,n3,n9) )).++fof(axN22_31_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n3,n1,n1) )).++fof(axN22_31_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n3,n1,n2) )).++fof(axN22_31_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n3,n1,n3) )).++fof(axN22_31_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n3,n1,n4) )).++fof(axN22_31_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n3,n1,n5) )).++fof(axN22_31_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n3,n1,n6) )).++fof(axN22_31_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n3,n1,n7) )).++fof(axN22_31_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n3,n1,n8) )).++fof(axN22_31_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n3,n1,n9) )).++fof(axN22_33_1,axiom,+ ( p(n2,n2,n1)+ => ~ p(n3,n3,n1) )).++fof(axN22_33_2,axiom,+ ( p(n2,n2,n2)+ => ~ p(n3,n3,n2) )).++fof(axN22_33_3,axiom,+ ( p(n2,n2,n3)+ => ~ p(n3,n3,n3) )).++fof(axN22_33_4,axiom,+ ( p(n2,n2,n4)+ => ~ p(n3,n3,n4) )).++fof(axN22_33_5,axiom,+ ( p(n2,n2,n5)+ => ~ p(n3,n3,n5) )).++fof(axN22_33_6,axiom,+ ( p(n2,n2,n6)+ => ~ p(n3,n3,n6) )).++fof(axN22_33_7,axiom,+ ( p(n2,n2,n7)+ => ~ p(n3,n3,n7) )).++fof(axN22_33_8,axiom,+ ( p(n2,n2,n8)+ => ~ p(n3,n3,n8) )).++fof(axN22_33_9,axiom,+ ( p(n2,n2,n9)+ => ~ p(n3,n3,n9) )).++fof(axN23_31_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n3,n1,n1) )).++fof(axN23_31_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n3,n1,n2) )).++fof(axN23_31_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n3,n1,n3) )).++fof(axN23_31_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n3,n1,n4) )).++fof(axN23_31_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n3,n1,n5) )).++fof(axN23_31_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n3,n1,n6) )).++fof(axN23_31_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n3,n1,n7) )).++fof(axN23_31_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n3,n1,n8) )).++fof(axN23_31_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n3,n1,n9) )).++fof(axN23_32_1,axiom,+ ( p(n2,n3,n1)+ => ~ p(n3,n2,n1) )).++fof(axN23_32_2,axiom,+ ( p(n2,n3,n2)+ => ~ p(n3,n2,n2) )).++fof(axN23_32_3,axiom,+ ( p(n2,n3,n3)+ => ~ p(n3,n2,n3) )).++fof(axN23_32_4,axiom,+ ( p(n2,n3,n4)+ => ~ p(n3,n2,n4) )).++fof(axN23_32_5,axiom,+ ( p(n2,n3,n5)+ => ~ p(n3,n2,n5) )).++fof(axN23_32_6,axiom,+ ( p(n2,n3,n6)+ => ~ p(n3,n2,n6) )).++fof(axN23_32_7,axiom,+ ( p(n2,n3,n7)+ => ~ p(n3,n2,n7) )).++fof(axN23_32_8,axiom,+ ( p(n2,n3,n8)+ => ~ p(n3,n2,n8) )).++fof(axN23_32_9,axiom,+ ( p(n2,n3,n9)+ => ~ p(n3,n2,n9) )).++fof(axN14_25_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n2,n5,n1) )).++fof(axN14_25_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n2,n5,n2) )).++fof(axN14_25_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n2,n5,n3) )).++fof(axN14_25_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n2,n5,n4) )).++fof(axN14_25_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n2,n5,n5) )).++fof(axN14_25_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n2,n5,n6) )).++fof(axN14_25_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n2,n5,n7) )).++fof(axN14_25_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n2,n5,n8) )).++fof(axN14_25_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n2,n5,n9) )).++fof(axN14_26_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n2,n6,n1) )).++fof(axN14_26_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n2,n6,n2) )).++fof(axN14_26_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n2,n6,n3) )).++fof(axN14_26_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n2,n6,n4) )).++fof(axN14_26_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n2,n6,n5) )).++fof(axN14_26_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n2,n6,n6) )).++fof(axN14_26_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n2,n6,n7) )).++fof(axN14_26_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n2,n6,n8) )).++fof(axN14_26_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n2,n6,n9) )).++fof(axN14_35_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n3,n5,n1) )).++fof(axN14_35_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n3,n5,n2) )).++fof(axN14_35_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n3,n5,n3) )).++fof(axN14_35_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n3,n5,n4) )).++fof(axN14_35_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n3,n5,n5) )).++fof(axN14_35_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n3,n5,n6) )).++fof(axN14_35_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n3,n5,n7) )).++fof(axN14_35_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n3,n5,n8) )).++fof(axN14_35_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n3,n5,n9) )).++fof(axN14_36_1,axiom,+ ( p(n1,n4,n1)+ => ~ p(n3,n6,n1) )).++fof(axN14_36_2,axiom,+ ( p(n1,n4,n2)+ => ~ p(n3,n6,n2) )).++fof(axN14_36_3,axiom,+ ( p(n1,n4,n3)+ => ~ p(n3,n6,n3) )).++fof(axN14_36_4,axiom,+ ( p(n1,n4,n4)+ => ~ p(n3,n6,n4) )).++fof(axN14_36_5,axiom,+ ( p(n1,n4,n5)+ => ~ p(n3,n6,n5) )).++fof(axN14_36_6,axiom,+ ( p(n1,n4,n6)+ => ~ p(n3,n6,n6) )).++fof(axN14_36_7,axiom,+ ( p(n1,n4,n7)+ => ~ p(n3,n6,n7) )).++fof(axN14_36_8,axiom,+ ( p(n1,n4,n8)+ => ~ p(n3,n6,n8) )).++fof(axN14_36_9,axiom,+ ( p(n1,n4,n9)+ => ~ p(n3,n6,n9) )).++fof(axN15_24_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n2,n4,n1) )).++fof(axN15_24_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n2,n4,n2) )).++fof(axN15_24_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n2,n4,n3) )).++fof(axN15_24_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n2,n4,n4) )).++fof(axN15_24_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n2,n4,n5) )).++fof(axN15_24_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n2,n4,n6) )).++fof(axN15_24_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n2,n4,n7) )).++fof(axN15_24_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n2,n4,n8) )).++fof(axN15_24_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n2,n4,n9) )).++fof(axN15_26_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n2,n6,n1) )).++fof(axN15_26_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n2,n6,n2) )).++fof(axN15_26_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n2,n6,n3) )).++fof(axN15_26_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n2,n6,n4) )).++fof(axN15_26_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n2,n6,n5) )).++fof(axN15_26_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n2,n6,n6) )).++fof(axN15_26_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n2,n6,n7) )).++fof(axN15_26_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n2,n6,n8) )).++fof(axN15_26_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n2,n6,n9) )).++fof(axN15_34_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n3,n4,n1) )).++fof(axN15_34_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n3,n4,n2) )).++fof(axN15_34_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n3,n4,n3) )).++fof(axN15_34_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n3,n4,n4) )).++fof(axN15_34_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n3,n4,n5) )).++fof(axN15_34_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n3,n4,n6) )).++fof(axN15_34_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n3,n4,n7) )).++fof(axN15_34_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n3,n4,n8) )).++fof(axN15_34_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n3,n4,n9) )).++fof(axN15_36_1,axiom,+ ( p(n1,n5,n1)+ => ~ p(n3,n6,n1) )).++fof(axN15_36_2,axiom,+ ( p(n1,n5,n2)+ => ~ p(n3,n6,n2) )).++fof(axN15_36_3,axiom,+ ( p(n1,n5,n3)+ => ~ p(n3,n6,n3) )).++fof(axN15_36_4,axiom,+ ( p(n1,n5,n4)+ => ~ p(n3,n6,n4) )).++fof(axN15_36_5,axiom,+ ( p(n1,n5,n5)+ => ~ p(n3,n6,n5) )).++fof(axN15_36_6,axiom,+ ( p(n1,n5,n6)+ => ~ p(n3,n6,n6) )).++fof(axN15_36_7,axiom,+ ( p(n1,n5,n7)+ => ~ p(n3,n6,n7) )).++fof(axN15_36_8,axiom,+ ( p(n1,n5,n8)+ => ~ p(n3,n6,n8) )).++fof(axN15_36_9,axiom,+ ( p(n1,n5,n9)+ => ~ p(n3,n6,n9) )).++fof(axN16_24_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n2,n4,n1) )).++fof(axN16_24_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n2,n4,n2) )).++fof(axN16_24_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n2,n4,n3) )).++fof(axN16_24_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n2,n4,n4) )).++fof(axN16_24_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n2,n4,n5) )).++fof(axN16_24_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n2,n4,n6) )).++fof(axN16_24_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n2,n4,n7) )).++fof(axN16_24_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n2,n4,n8) )).++fof(axN16_24_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n2,n4,n9) )).++fof(axN16_25_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n2,n5,n1) )).++fof(axN16_25_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n2,n5,n2) )).++fof(axN16_25_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n2,n5,n3) )).++fof(axN16_25_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n2,n5,n4) )).++fof(axN16_25_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n2,n5,n5) )).++fof(axN16_25_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n2,n5,n6) )).++fof(axN16_25_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n2,n5,n7) )).++fof(axN16_25_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n2,n5,n8) )).++fof(axN16_25_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n2,n5,n9) )).++fof(axN16_34_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n3,n4,n1) )).++fof(axN16_34_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n3,n4,n2) )).++fof(axN16_34_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n3,n4,n3) )).++fof(axN16_34_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n3,n4,n4) )).++fof(axN16_34_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n3,n4,n5) )).++fof(axN16_34_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n3,n4,n6) )).++fof(axN16_34_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n3,n4,n7) )).++fof(axN16_34_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n3,n4,n8) )).++fof(axN16_34_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n3,n4,n9) )).++fof(axN16_35_1,axiom,+ ( p(n1,n6,n1)+ => ~ p(n3,n5,n1) )).++fof(axN16_35_2,axiom,+ ( p(n1,n6,n2)+ => ~ p(n3,n5,n2) )).++fof(axN16_35_3,axiom,+ ( p(n1,n6,n3)+ => ~ p(n3,n5,n3) )).++fof(axN16_35_4,axiom,+ ( p(n1,n6,n4)+ => ~ p(n3,n5,n4) )).++fof(axN16_35_5,axiom,+ ( p(n1,n6,n5)+ => ~ p(n3,n5,n5) )).++fof(axN16_35_6,axiom,+ ( p(n1,n6,n6)+ => ~ p(n3,n5,n6) )).++fof(axN16_35_7,axiom,+ ( p(n1,n6,n7)+ => ~ p(n3,n5,n7) )).++fof(axN16_35_8,axiom,+ ( p(n1,n6,n8)+ => ~ p(n3,n5,n8) )).++fof(axN16_35_9,axiom,+ ( p(n1,n6,n9)+ => ~ p(n3,n5,n9) )).++fof(axN24_35_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n3,n5,n1) )).++fof(axN24_35_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n3,n5,n2) )).++fof(axN24_35_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n3,n5,n3) )).++fof(axN24_35_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n3,n5,n4) )).++fof(axN24_35_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n3,n5,n5) )).++fof(axN24_35_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n3,n5,n6) )).++fof(axN24_35_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n3,n5,n7) )).++fof(axN24_35_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n3,n5,n8) )).++fof(axN24_35_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n3,n5,n9) )).++fof(axN24_36_1,axiom,+ ( p(n2,n4,n1)+ => ~ p(n3,n6,n1) )).++fof(axN24_36_2,axiom,+ ( p(n2,n4,n2)+ => ~ p(n3,n6,n2) )).++fof(axN24_36_3,axiom,+ ( p(n2,n4,n3)+ => ~ p(n3,n6,n3) )).++fof(axN24_36_4,axiom,+ ( p(n2,n4,n4)+ => ~ p(n3,n6,n4) )).++fof(axN24_36_5,axiom,+ ( p(n2,n4,n5)+ => ~ p(n3,n6,n5) )).++fof(axN24_36_6,axiom,+ ( p(n2,n4,n6)+ => ~ p(n3,n6,n6) )).++fof(axN24_36_7,axiom,+ ( p(n2,n4,n7)+ => ~ p(n3,n6,n7) )).++fof(axN24_36_8,axiom,+ ( p(n2,n4,n8)+ => ~ p(n3,n6,n8) )).++fof(axN24_36_9,axiom,+ ( p(n2,n4,n9)+ => ~ p(n3,n6,n9) )).++fof(axN25_34_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n3,n4,n1) )).++fof(axN25_34_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n3,n4,n2) )).++fof(axN25_34_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n3,n4,n3) )).++fof(axN25_34_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n3,n4,n4) )).++fof(axN25_34_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n3,n4,n5) )).++fof(axN25_34_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n3,n4,n6) )).++fof(axN25_34_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n3,n4,n7) )).++fof(axN25_34_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n3,n4,n8) )).++fof(axN25_34_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n3,n4,n9) )).++fof(axN25_36_1,axiom,+ ( p(n2,n5,n1)+ => ~ p(n3,n6,n1) )).++fof(axN25_36_2,axiom,+ ( p(n2,n5,n2)+ => ~ p(n3,n6,n2) )).++fof(axN25_36_3,axiom,+ ( p(n2,n5,n3)+ => ~ p(n3,n6,n3) )).++fof(axN25_36_4,axiom,+ ( p(n2,n5,n4)+ => ~ p(n3,n6,n4) )).++fof(axN25_36_5,axiom,+ ( p(n2,n5,n5)+ => ~ p(n3,n6,n5) )).++fof(axN25_36_6,axiom,+ ( p(n2,n5,n6)+ => ~ p(n3,n6,n6) )).++fof(axN25_36_7,axiom,+ ( p(n2,n5,n7)+ => ~ p(n3,n6,n7) )).++fof(axN25_36_8,axiom,+ ( p(n2,n5,n8)+ => ~ p(n3,n6,n8) )).++fof(axN25_36_9,axiom,+ ( p(n2,n5,n9)+ => ~ p(n3,n6,n9) )).++fof(axN26_34_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n3,n4,n1) )).++fof(axN26_34_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n3,n4,n2) )).++fof(axN26_34_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n3,n4,n3) )).++fof(axN26_34_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n3,n4,n4) )).++fof(axN26_34_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n3,n4,n5) )).++fof(axN26_34_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n3,n4,n6) )).++fof(axN26_34_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n3,n4,n7) )).++fof(axN26_34_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n3,n4,n8) )).++fof(axN26_34_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n3,n4,n9) )).++fof(axN26_35_1,axiom,+ ( p(n2,n6,n1)+ => ~ p(n3,n5,n1) )).++fof(axN26_35_2,axiom,+ ( p(n2,n6,n2)+ => ~ p(n3,n5,n2) )).++fof(axN26_35_3,axiom,+ ( p(n2,n6,n3)+ => ~ p(n3,n5,n3) )).++fof(axN26_35_4,axiom,+ ( p(n2,n6,n4)+ => ~ p(n3,n5,n4) )).++fof(axN26_35_5,axiom,+ ( p(n2,n6,n5)+ => ~ p(n3,n5,n5) )).++fof(axN26_35_6,axiom,+ ( p(n2,n6,n6)+ => ~ p(n3,n5,n6) )).++fof(axN26_35_7,axiom,+ ( p(n2,n6,n7)+ => ~ p(n3,n5,n7) )).++fof(axN26_35_8,axiom,+ ( p(n2,n6,n8)+ => ~ p(n3,n5,n8) )).++fof(axN26_35_9,axiom,+ ( p(n2,n6,n9)+ => ~ p(n3,n5,n9) )).++fof(axN17_28_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n2,n8,n1) )).++fof(axN17_28_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n2,n8,n2) )).++fof(axN17_28_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n2,n8,n3) )).++fof(axN17_28_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n2,n8,n4) )).++fof(axN17_28_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n2,n8,n5) )).++fof(axN17_28_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n2,n8,n6) )).++fof(axN17_28_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n2,n8,n7) )).++fof(axN17_28_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n2,n8,n8) )).++fof(axN17_28_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n2,n8,n9) )).++fof(axN17_29_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n2,n9,n1) )).++fof(axN17_29_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n2,n9,n2) )).++fof(axN17_29_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n2,n9,n3) )).++fof(axN17_29_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n2,n9,n4) )).++fof(axN17_29_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n2,n9,n5) )).++fof(axN17_29_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n2,n9,n6) )).++fof(axN17_29_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n2,n9,n7) )).++fof(axN17_29_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n2,n9,n8) )).++fof(axN17_29_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n2,n9,n9) )).++fof(axN17_38_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n3,n8,n1) )).++fof(axN17_38_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n3,n8,n2) )).++fof(axN17_38_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n3,n8,n3) )).++fof(axN17_38_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n3,n8,n4) )).++fof(axN17_38_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n3,n8,n5) )).++fof(axN17_38_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n3,n8,n6) )).++fof(axN17_38_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n3,n8,n7) )).++fof(axN17_38_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n3,n8,n8) )).++fof(axN17_38_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n3,n8,n9) )).++fof(axN17_39_1,axiom,+ ( p(n1,n7,n1)+ => ~ p(n3,n9,n1) )).++fof(axN17_39_2,axiom,+ ( p(n1,n7,n2)+ => ~ p(n3,n9,n2) )).++fof(axN17_39_3,axiom,+ ( p(n1,n7,n3)+ => ~ p(n3,n9,n3) )).++fof(axN17_39_4,axiom,+ ( p(n1,n7,n4)+ => ~ p(n3,n9,n4) )).++fof(axN17_39_5,axiom,+ ( p(n1,n7,n5)+ => ~ p(n3,n9,n5) )).++fof(axN17_39_6,axiom,+ ( p(n1,n7,n6)+ => ~ p(n3,n9,n6) )).++fof(axN17_39_7,axiom,+ ( p(n1,n7,n7)+ => ~ p(n3,n9,n7) )).++fof(axN17_39_8,axiom,+ ( p(n1,n7,n8)+ => ~ p(n3,n9,n8) )).++fof(axN17_39_9,axiom,+ ( p(n1,n7,n9)+ => ~ p(n3,n9,n9) )).++fof(axN18_27_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n2,n7,n1) )).++fof(axN18_27_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n2,n7,n2) )).++fof(axN18_27_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n2,n7,n3) )).++fof(axN18_27_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n2,n7,n4) )).++fof(axN18_27_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n2,n7,n5) )).++fof(axN18_27_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n2,n7,n6) )).++fof(axN18_27_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n2,n7,n7) )).++fof(axN18_27_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n2,n7,n8) )).++fof(axN18_27_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n2,n7,n9) )).++fof(axN18_29_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n2,n9,n1) )).++fof(axN18_29_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n2,n9,n2) )).++fof(axN18_29_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n2,n9,n3) )).++fof(axN18_29_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n2,n9,n4) )).++fof(axN18_29_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n2,n9,n5) )).++fof(axN18_29_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n2,n9,n6) )).++fof(axN18_29_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n2,n9,n7) )).++fof(axN18_29_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n2,n9,n8) )).++fof(axN18_29_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n2,n9,n9) )).++fof(axN18_37_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n3,n7,n1) )).++fof(axN18_37_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n3,n7,n2) )).++fof(axN18_37_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n3,n7,n3) )).++fof(axN18_37_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n3,n7,n4) )).++fof(axN18_37_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n3,n7,n5) )).++fof(axN18_37_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n3,n7,n6) )).++fof(axN18_37_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n3,n7,n7) )).++fof(axN18_37_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n3,n7,n8) )).++fof(axN18_37_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n3,n7,n9) )).++fof(axN18_39_1,axiom,+ ( p(n1,n8,n1)+ => ~ p(n3,n9,n1) )).++fof(axN18_39_2,axiom,+ ( p(n1,n8,n2)+ => ~ p(n3,n9,n2) )).++fof(axN18_39_3,axiom,+ ( p(n1,n8,n3)+ => ~ p(n3,n9,n3) )).++fof(axN18_39_4,axiom,+ ( p(n1,n8,n4)+ => ~ p(n3,n9,n4) )).++fof(axN18_39_5,axiom,+ ( p(n1,n8,n5)+ => ~ p(n3,n9,n5) )).++fof(axN18_39_6,axiom,+ ( p(n1,n8,n6)+ => ~ p(n3,n9,n6) )).++fof(axN18_39_7,axiom,+ ( p(n1,n8,n7)+ => ~ p(n3,n9,n7) )).++fof(axN18_39_8,axiom,+ ( p(n1,n8,n8)+ => ~ p(n3,n9,n8) )).++fof(axN18_39_9,axiom,+ ( p(n1,n8,n9)+ => ~ p(n3,n9,n9) )).++fof(axN19_27_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n2,n7,n1) )).++fof(axN19_27_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n2,n7,n2) )).++fof(axN19_27_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n2,n7,n3) )).++fof(axN19_27_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n2,n7,n4) )).++fof(axN19_27_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n2,n7,n5) )).++fof(axN19_27_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n2,n7,n6) )).++fof(axN19_27_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n2,n7,n7) )).++fof(axN19_27_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n2,n7,n8) )).++fof(axN19_27_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n2,n7,n9) )).++fof(axN19_28_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n2,n8,n1) )).++fof(axN19_28_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n2,n8,n2) )).++fof(axN19_28_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n2,n8,n3) )).++fof(axN19_28_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n2,n8,n4) )).++fof(axN19_28_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n2,n8,n5) )).++fof(axN19_28_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n2,n8,n6) )).++fof(axN19_28_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n2,n8,n7) )).++fof(axN19_28_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n2,n8,n8) )).++fof(axN19_28_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n2,n8,n9) )).++fof(axN19_37_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n3,n7,n1) )).++fof(axN19_37_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n3,n7,n2) )).++fof(axN19_37_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n3,n7,n3) )).++fof(axN19_37_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n3,n7,n4) )).++fof(axN19_37_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n3,n7,n5) )).++fof(axN19_37_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n3,n7,n6) )).++fof(axN19_37_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n3,n7,n7) )).++fof(axN19_37_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n3,n7,n8) )).++fof(axN19_37_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n3,n7,n9) )).++fof(axN19_38_1,axiom,+ ( p(n1,n9,n1)+ => ~ p(n3,n8,n1) )).++fof(axN19_38_2,axiom,+ ( p(n1,n9,n2)+ => ~ p(n3,n8,n2) )).++fof(axN19_38_3,axiom,+ ( p(n1,n9,n3)+ => ~ p(n3,n8,n3) )).++fof(axN19_38_4,axiom,+ ( p(n1,n9,n4)+ => ~ p(n3,n8,n4) )).++fof(axN19_38_5,axiom,+ ( p(n1,n9,n5)+ => ~ p(n3,n8,n5) )).++fof(axN19_38_6,axiom,+ ( p(n1,n9,n6)+ => ~ p(n3,n8,n6) )).++fof(axN19_38_7,axiom,+ ( p(n1,n9,n7)+ => ~ p(n3,n8,n7) )).++fof(axN19_38_8,axiom,+ ( p(n1,n9,n8)+ => ~ p(n3,n8,n8) )).++fof(axN19_38_9,axiom,+ ( p(n1,n9,n9)+ => ~ p(n3,n8,n9) )).++fof(axN27_38_1,axiom,+ ( p(n2,n7,n1)+ => ~ p(n3,n8,n1) )).++fof(axN27_38_2,axiom,+ ( p(n2,n7,n2)+ => ~ p(n3,n8,n2) )).++fof(axN27_38_3,axiom,+ ( p(n2,n7,n3)+ => ~ p(n3,n8,n3) )).++fof(axN27_38_4,axiom,+ ( p(n2,n7,n4)+ => ~ p(n3,n8,n4) )).++fof(axN27_38_5,axiom,+ ( p(n2,n7,n5)+ => ~ p(n3,n8,n5) )).++fof(axN27_38_6,axiom,+ ( p(n2,n7,n6)+ => ~ p(n3,n8,n6) )).++fof(axN27_38_7,axiom,+ ( p(n2,n7,n7)+ => ~ p(n3,n8,n7) )).++fof(axN27_38_8,axiom,+ ( p(n2,n7,n8)+ => ~ p(n3,n8,n8) )).++fof(axN27_38_9,axiom,+ ( p(n2,n7,n9)+ => ~ p(n3,n8,n9) )).++fof(axN27_39_1,axiom,+ ( p(n2,n7,n1)+ => ~ p(n3,n9,n1) )).++fof(axN27_39_2,axiom,+ ( p(n2,n7,n2)+ => ~ p(n3,n9,n2) )).++fof(axN27_39_3,axiom,+ ( p(n2,n7,n3)+ => ~ p(n3,n9,n3) )).++fof(axN27_39_4,axiom,+ ( p(n2,n7,n4)+ => ~ p(n3,n9,n4) )).++fof(axN27_39_5,axiom,+ ( p(n2,n7,n5)+ => ~ p(n3,n9,n5) )).++fof(axN27_39_6,axiom,+ ( p(n2,n7,n6)+ => ~ p(n3,n9,n6) )).++fof(axN27_39_7,axiom,+ ( p(n2,n7,n7)+ => ~ p(n3,n9,n7) )).++fof(axN27_39_8,axiom,+ ( p(n2,n7,n8)+ => ~ p(n3,n9,n8) )).++fof(axN27_39_9,axiom,+ ( p(n2,n7,n9)+ => ~ p(n3,n9,n9) )).++fof(axN28_37_1,axiom,+ ( p(n2,n8,n1)+ => ~ p(n3,n7,n1) )).++fof(axN28_37_2,axiom,+ ( p(n2,n8,n2)+ => ~ p(n3,n7,n2) )).++fof(axN28_37_3,axiom,+ ( p(n2,n8,n3)+ => ~ p(n3,n7,n3) )).++fof(axN28_37_4,axiom,+ ( p(n2,n8,n4)+ => ~ p(n3,n7,n4) )).++fof(axN28_37_5,axiom,+ ( p(n2,n8,n5)+ => ~ p(n3,n7,n5) )).++fof(axN28_37_6,axiom,+ ( p(n2,n8,n6)+ => ~ p(n3,n7,n6) )).++fof(axN28_37_7,axiom,+ ( p(n2,n8,n7)+ => ~ p(n3,n7,n7) )).++fof(axN28_37_8,axiom,+ ( p(n2,n8,n8)+ => ~ p(n3,n7,n8) )).++fof(axN28_37_9,axiom,+ ( p(n2,n8,n9)+ => ~ p(n3,n7,n9) )).++fof(axN28_39_1,axiom,+ ( p(n2,n8,n1)+ => ~ p(n3,n9,n1) )).++fof(axN28_39_2,axiom,+ ( p(n2,n8,n2)+ => ~ p(n3,n9,n2) )).++fof(axN28_39_3,axiom,+ ( p(n2,n8,n3)+ => ~ p(n3,n9,n3) )).++fof(axN28_39_4,axiom,+ ( p(n2,n8,n4)+ => ~ p(n3,n9,n4) )).++fof(axN28_39_5,axiom,+ ( p(n2,n8,n5)+ => ~ p(n3,n9,n5) )).++fof(axN28_39_6,axiom,+ ( p(n2,n8,n6)+ => ~ p(n3,n9,n6) )).++fof(axN28_39_7,axiom,+ ( p(n2,n8,n7)+ => ~ p(n3,n9,n7) )).++fof(axN28_39_8,axiom,+ ( p(n2,n8,n8)+ => ~ p(n3,n9,n8) )).++fof(axN28_39_9,axiom,+ ( p(n2,n8,n9)+ => ~ p(n3,n9,n9) )).++fof(axN29_37_1,axiom,+ ( p(n2,n9,n1)+ => ~ p(n3,n7,n1) )).++fof(axN29_37_2,axiom,+ ( p(n2,n9,n2)+ => ~ p(n3,n7,n2) )).++fof(axN29_37_3,axiom,+ ( p(n2,n9,n3)+ => ~ p(n3,n7,n3) )).++fof(axN29_37_4,axiom,+ ( p(n2,n9,n4)+ => ~ p(n3,n7,n4) )).++fof(axN29_37_5,axiom,+ ( p(n2,n9,n5)+ => ~ p(n3,n7,n5) )).++fof(axN29_37_6,axiom,+ ( p(n2,n9,n6)+ => ~ p(n3,n7,n6) )).++fof(axN29_37_7,axiom,+ ( p(n2,n9,n7)+ => ~ p(n3,n7,n7) )).++fof(axN29_37_8,axiom,+ ( p(n2,n9,n8)+ => ~ p(n3,n7,n8) )).++fof(axN29_37_9,axiom,+ ( p(n2,n9,n9)+ => ~ p(n3,n7,n9) )).++fof(axN29_38_1,axiom,+ ( p(n2,n9,n1)+ => ~ p(n3,n8,n1) )).++fof(axN29_38_2,axiom,+ ( p(n2,n9,n2)+ => ~ p(n3,n8,n2) )).++fof(axN29_38_3,axiom,+ ( p(n2,n9,n3)+ => ~ p(n3,n8,n3) )).++fof(axN29_38_4,axiom,+ ( p(n2,n9,n4)+ => ~ p(n3,n8,n4) )).++fof(axN29_38_5,axiom,+ ( p(n2,n9,n5)+ => ~ p(n3,n8,n5) )).++fof(axN29_38_6,axiom,+ ( p(n2,n9,n6)+ => ~ p(n3,n8,n6) )).++fof(axN29_38_7,axiom,+ ( p(n2,n9,n7)+ => ~ p(n3,n8,n7) )).++fof(axN29_38_8,axiom,+ ( p(n2,n9,n8)+ => ~ p(n3,n8,n8) )).++fof(axN29_38_9,axiom,+ ( p(n2,n9,n9)+ => ~ p(n3,n8,n9) )).++fof(axN41_52_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n5,n2,n1) )).++fof(axN41_52_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n5,n2,n2) )).++fof(axN41_52_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n5,n2,n3) )).++fof(axN41_52_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n5,n2,n4) )).++fof(axN41_52_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n5,n2,n5) )).++fof(axN41_52_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n5,n2,n6) )).++fof(axN41_52_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n5,n2,n7) )).++fof(axN41_52_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n5,n2,n8) )).++fof(axN41_52_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n5,n2,n9) )).++fof(axN41_53_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n5,n3,n1) )).++fof(axN41_53_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n5,n3,n2) )).++fof(axN41_53_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n5,n3,n3) )).++fof(axN41_53_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n5,n3,n4) )).++fof(axN41_53_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n5,n3,n5) )).++fof(axN41_53_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n5,n3,n6) )).++fof(axN41_53_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n5,n3,n7) )).++fof(axN41_53_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n5,n3,n8) )).++fof(axN41_53_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n5,n3,n9) )).++fof(axN41_62_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n6,n2,n1) )).++fof(axN41_62_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n6,n2,n2) )).++fof(axN41_62_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n6,n2,n3) )).++fof(axN41_62_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n6,n2,n4) )).++fof(axN41_62_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n6,n2,n5) )).++fof(axN41_62_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n6,n2,n6) )).++fof(axN41_62_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n6,n2,n7) )).++fof(axN41_62_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n6,n2,n8) )).++fof(axN41_62_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n6,n2,n9) )).++fof(axN41_63_1,axiom,+ ( p(n4,n1,n1)+ => ~ p(n6,n3,n1) )).++fof(axN41_63_2,axiom,+ ( p(n4,n1,n2)+ => ~ p(n6,n3,n2) )).++fof(axN41_63_3,axiom,+ ( p(n4,n1,n3)+ => ~ p(n6,n3,n3) )).++fof(axN41_63_4,axiom,+ ( p(n4,n1,n4)+ => ~ p(n6,n3,n4) )).++fof(axN41_63_5,axiom,+ ( p(n4,n1,n5)+ => ~ p(n6,n3,n5) )).++fof(axN41_63_6,axiom,+ ( p(n4,n1,n6)+ => ~ p(n6,n3,n6) )).++fof(axN41_63_7,axiom,+ ( p(n4,n1,n7)+ => ~ p(n6,n3,n7) )).++fof(axN41_63_8,axiom,+ ( p(n4,n1,n8)+ => ~ p(n6,n3,n8) )).++fof(axN41_63_9,axiom,+ ( p(n4,n1,n9)+ => ~ p(n6,n3,n9) )).++fof(axN42_51_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n5,n1,n1) )).++fof(axN42_51_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n5,n1,n2) )).++fof(axN42_51_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n5,n1,n3) )).++fof(axN42_51_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n5,n1,n4) )).++fof(axN42_51_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n5,n1,n5) )).++fof(axN42_51_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n5,n1,n6) )).++fof(axN42_51_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n5,n1,n7) )).++fof(axN42_51_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n5,n1,n8) )).++fof(axN42_51_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n5,n1,n9) )).++fof(axN42_53_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n5,n3,n1) )).++fof(axN42_53_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n5,n3,n2) )).++fof(axN42_53_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n5,n3,n3) )).++fof(axN42_53_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n5,n3,n4) )).++fof(axN42_53_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n5,n3,n5) )).++fof(axN42_53_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n5,n3,n6) )).++fof(axN42_53_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n5,n3,n7) )).++fof(axN42_53_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n5,n3,n8) )).++fof(axN42_53_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n5,n3,n9) )).++fof(axN42_61_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n6,n1,n1) )).++fof(axN42_61_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n6,n1,n2) )).++fof(axN42_61_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n6,n1,n3) )).++fof(axN42_61_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n6,n1,n4) )).++fof(axN42_61_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n6,n1,n5) )).++fof(axN42_61_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n6,n1,n6) )).++fof(axN42_61_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n6,n1,n7) )).++fof(axN42_61_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n6,n1,n8) )).++fof(axN42_61_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n6,n1,n9) )).++fof(axN42_63_1,axiom,+ ( p(n4,n2,n1)+ => ~ p(n6,n3,n1) )).++fof(axN42_63_2,axiom,+ ( p(n4,n2,n2)+ => ~ p(n6,n3,n2) )).++fof(axN42_63_3,axiom,+ ( p(n4,n2,n3)+ => ~ p(n6,n3,n3) )).++fof(axN42_63_4,axiom,+ ( p(n4,n2,n4)+ => ~ p(n6,n3,n4) )).++fof(axN42_63_5,axiom,+ ( p(n4,n2,n5)+ => ~ p(n6,n3,n5) )).++fof(axN42_63_6,axiom,+ ( p(n4,n2,n6)+ => ~ p(n6,n3,n6) )).++fof(axN42_63_7,axiom,+ ( p(n4,n2,n7)+ => ~ p(n6,n3,n7) )).++fof(axN42_63_8,axiom,+ ( p(n4,n2,n8)+ => ~ p(n6,n3,n8) )).++fof(axN42_63_9,axiom,+ ( p(n4,n2,n9)+ => ~ p(n6,n3,n9) )).++fof(axN43_51_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n5,n1,n1) )).++fof(axN43_51_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n5,n1,n2) )).++fof(axN43_51_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n5,n1,n3) )).++fof(axN43_51_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n5,n1,n4) )).++fof(axN43_51_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n5,n1,n5) )).++fof(axN43_51_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n5,n1,n6) )).++fof(axN43_51_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n5,n1,n7) )).++fof(axN43_51_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n5,n1,n8) )).++fof(axN43_51_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n5,n1,n9) )).++fof(axN43_52_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n5,n2,n1) )).++fof(axN43_52_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n5,n2,n2) )).++fof(axN43_52_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n5,n2,n3) )).++fof(axN43_52_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n5,n2,n4) )).++fof(axN43_52_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n5,n2,n5) )).++fof(axN43_52_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n5,n2,n6) )).++fof(axN43_52_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n5,n2,n7) )).++fof(axN43_52_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n5,n2,n8) )).++fof(axN43_52_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n5,n2,n9) )).++fof(axN43_61_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n6,n1,n1) )).++fof(axN43_61_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n6,n1,n2) )).++fof(axN43_61_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n6,n1,n3) )).++fof(axN43_61_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n6,n1,n4) )).++fof(axN43_61_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n6,n1,n5) )).++fof(axN43_61_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n6,n1,n6) )).++fof(axN43_61_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n6,n1,n7) )).++fof(axN43_61_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n6,n1,n8) )).++fof(axN43_61_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n6,n1,n9) )).++fof(axN43_62_1,axiom,+ ( p(n4,n3,n1)+ => ~ p(n6,n2,n1) )).++fof(axN43_62_2,axiom,+ ( p(n4,n3,n2)+ => ~ p(n6,n2,n2) )).++fof(axN43_62_3,axiom,+ ( p(n4,n3,n3)+ => ~ p(n6,n2,n3) )).++fof(axN43_62_4,axiom,+ ( p(n4,n3,n4)+ => ~ p(n6,n2,n4) )).++fof(axN43_62_5,axiom,+ ( p(n4,n3,n5)+ => ~ p(n6,n2,n5) )).++fof(axN43_62_6,axiom,+ ( p(n4,n3,n6)+ => ~ p(n6,n2,n6) )).++fof(axN43_62_7,axiom,+ ( p(n4,n3,n7)+ => ~ p(n6,n2,n7) )).++fof(axN43_62_8,axiom,+ ( p(n4,n3,n8)+ => ~ p(n6,n2,n8) )).++fof(axN43_62_9,axiom,+ ( p(n4,n3,n9)+ => ~ p(n6,n2,n9) )).++fof(axN51_62_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n6,n2,n1) )).++fof(axN51_62_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n6,n2,n2) )).++fof(axN51_62_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n6,n2,n3) )).++fof(axN51_62_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n6,n2,n4) )).++fof(axN51_62_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n6,n2,n5) )).++fof(axN51_62_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n6,n2,n6) )).++fof(axN51_62_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n6,n2,n7) )).++fof(axN51_62_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n6,n2,n8) )).++fof(axN51_62_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n6,n2,n9) )).++fof(axN51_63_1,axiom,+ ( p(n5,n1,n1)+ => ~ p(n6,n3,n1) )).++fof(axN51_63_2,axiom,+ ( p(n5,n1,n2)+ => ~ p(n6,n3,n2) )).++fof(axN51_63_3,axiom,+ ( p(n5,n1,n3)+ => ~ p(n6,n3,n3) )).++fof(axN51_63_4,axiom,+ ( p(n5,n1,n4)+ => ~ p(n6,n3,n4) )).++fof(axN51_63_5,axiom,+ ( p(n5,n1,n5)+ => ~ p(n6,n3,n5) )).++fof(axN51_63_6,axiom,+ ( p(n5,n1,n6)+ => ~ p(n6,n3,n6) )).++fof(axN51_63_7,axiom,+ ( p(n5,n1,n7)+ => ~ p(n6,n3,n7) )).++fof(axN51_63_8,axiom,+ ( p(n5,n1,n8)+ => ~ p(n6,n3,n8) )).++fof(axN51_63_9,axiom,+ ( p(n5,n1,n9)+ => ~ p(n6,n3,n9) )).++fof(axN52_61_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n6,n1,n1) )).++fof(axN52_61_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n6,n1,n2) )).++fof(axN52_61_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n6,n1,n3) )).++fof(axN52_61_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n6,n1,n4) )).++fof(axN52_61_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n6,n1,n5) )).++fof(axN52_61_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n6,n1,n6) )).++fof(axN52_61_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n6,n1,n7) )).++fof(axN52_61_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n6,n1,n8) )).++fof(axN52_61_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n6,n1,n9) )).++fof(axN52_63_1,axiom,+ ( p(n5,n2,n1)+ => ~ p(n6,n3,n1) )).++fof(axN52_63_2,axiom,+ ( p(n5,n2,n2)+ => ~ p(n6,n3,n2) )).++fof(axN52_63_3,axiom,+ ( p(n5,n2,n3)+ => ~ p(n6,n3,n3) )).++fof(axN52_63_4,axiom,+ ( p(n5,n2,n4)+ => ~ p(n6,n3,n4) )).++fof(axN52_63_5,axiom,+ ( p(n5,n2,n5)+ => ~ p(n6,n3,n5) )).++fof(axN52_63_6,axiom,+ ( p(n5,n2,n6)+ => ~ p(n6,n3,n6) )).++fof(axN52_63_7,axiom,+ ( p(n5,n2,n7)+ => ~ p(n6,n3,n7) )).++fof(axN52_63_8,axiom,+ ( p(n5,n2,n8)+ => ~ p(n6,n3,n8) )).++fof(axN52_63_9,axiom,+ ( p(n5,n2,n9)+ => ~ p(n6,n3,n9) )).++fof(axN53_61_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n6,n1,n1) )).++fof(axN53_61_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n6,n1,n2) )).++fof(axN53_61_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n6,n1,n3) )).++fof(axN53_61_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n6,n1,n4) )).++fof(axN53_61_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n6,n1,n5) )).++fof(axN53_61_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n6,n1,n6) )).++fof(axN53_61_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n6,n1,n7) )).++fof(axN53_61_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n6,n1,n8) )).++fof(axN53_61_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n6,n1,n9) )).++fof(axN53_62_1,axiom,+ ( p(n5,n3,n1)+ => ~ p(n6,n2,n1) )).++fof(axN53_62_2,axiom,+ ( p(n5,n3,n2)+ => ~ p(n6,n2,n2) )).++fof(axN53_62_3,axiom,+ ( p(n5,n3,n3)+ => ~ p(n6,n2,n3) )).++fof(axN53_62_4,axiom,+ ( p(n5,n3,n4)+ => ~ p(n6,n2,n4) )).++fof(axN53_62_5,axiom,+ ( p(n5,n3,n5)+ => ~ p(n6,n2,n5) )).++fof(axN53_62_6,axiom,+ ( p(n5,n3,n6)+ => ~ p(n6,n2,n6) )).++fof(axN53_62_7,axiom,+ ( p(n5,n3,n7)+ => ~ p(n6,n2,n7) )).++fof(axN53_62_8,axiom,+ ( p(n5,n3,n8)+ => ~ p(n6,n2,n8) )).++fof(axN53_62_9,axiom,+ ( p(n5,n3,n9)+ => ~ p(n6,n2,n9) )).++fof(axN44_55_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n5,n5,n1) )).++fof(axN44_55_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n5,n5,n2) )).++fof(axN44_55_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n5,n5,n3) )).++fof(axN44_55_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n5,n5,n4) )).++fof(axN44_55_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n5,n5,n5) )).++fof(axN44_55_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n5,n5,n6) )).++fof(axN44_55_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n5,n5,n7) )).++fof(axN44_55_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n5,n5,n8) )).++fof(axN44_55_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n5,n5,n9) )).++fof(axN44_56_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n5,n6,n1) )).++fof(axN44_56_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n5,n6,n2) )).++fof(axN44_56_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n5,n6,n3) )).++fof(axN44_56_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n5,n6,n4) )).++fof(axN44_56_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n5,n6,n5) )).++fof(axN44_56_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n5,n6,n6) )).++fof(axN44_56_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n5,n6,n7) )).++fof(axN44_56_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n5,n6,n8) )).++fof(axN44_56_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n5,n6,n9) )).++fof(axN44_65_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n6,n5,n1) )).++fof(axN44_65_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n6,n5,n2) )).++fof(axN44_65_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n6,n5,n3) )).++fof(axN44_65_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n6,n5,n4) )).++fof(axN44_65_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n6,n5,n5) )).++fof(axN44_65_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n6,n5,n6) )).++fof(axN44_65_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n6,n5,n7) )).++fof(axN44_65_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n6,n5,n8) )).++fof(axN44_65_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n6,n5,n9) )).++fof(axN44_66_1,axiom,+ ( p(n4,n4,n1)+ => ~ p(n6,n6,n1) )).++fof(axN44_66_2,axiom,+ ( p(n4,n4,n2)+ => ~ p(n6,n6,n2) )).++fof(axN44_66_3,axiom,+ ( p(n4,n4,n3)+ => ~ p(n6,n6,n3) )).++fof(axN44_66_4,axiom,+ ( p(n4,n4,n4)+ => ~ p(n6,n6,n4) )).++fof(axN44_66_5,axiom,+ ( p(n4,n4,n5)+ => ~ p(n6,n6,n5) )).++fof(axN44_66_6,axiom,+ ( p(n4,n4,n6)+ => ~ p(n6,n6,n6) )).++fof(axN44_66_7,axiom,+ ( p(n4,n4,n7)+ => ~ p(n6,n6,n7) )).++fof(axN44_66_8,axiom,+ ( p(n4,n4,n8)+ => ~ p(n6,n6,n8) )).++fof(axN44_66_9,axiom,+ ( p(n4,n4,n9)+ => ~ p(n6,n6,n9) )).++fof(axN45_54_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n5,n4,n1) )).++fof(axN45_54_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n5,n4,n2) )).++fof(axN45_54_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n5,n4,n3) )).++fof(axN45_54_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n5,n4,n4) )).++fof(axN45_54_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n5,n4,n5) )).++fof(axN45_54_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n5,n4,n6) )).++fof(axN45_54_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n5,n4,n7) )).++fof(axN45_54_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n5,n4,n8) )).++fof(axN45_54_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n5,n4,n9) )).++fof(axN45_56_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n5,n6,n1) )).++fof(axN45_56_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n5,n6,n2) )).++fof(axN45_56_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n5,n6,n3) )).++fof(axN45_56_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n5,n6,n4) )).++fof(axN45_56_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n5,n6,n5) )).++fof(axN45_56_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n5,n6,n6) )).++fof(axN45_56_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n5,n6,n7) )).++fof(axN45_56_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n5,n6,n8) )).++fof(axN45_56_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n5,n6,n9) )).++fof(axN45_64_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n6,n4,n1) )).++fof(axN45_64_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n6,n4,n2) )).++fof(axN45_64_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n6,n4,n3) )).++fof(axN45_64_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n6,n4,n4) )).++fof(axN45_64_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n6,n4,n5) )).++fof(axN45_64_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n6,n4,n6) )).++fof(axN45_64_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n6,n4,n7) )).++fof(axN45_64_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n6,n4,n8) )).++fof(axN45_64_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n6,n4,n9) )).++fof(axN45_66_1,axiom,+ ( p(n4,n5,n1)+ => ~ p(n6,n6,n1) )).++fof(axN45_66_2,axiom,+ ( p(n4,n5,n2)+ => ~ p(n6,n6,n2) )).++fof(axN45_66_3,axiom,+ ( p(n4,n5,n3)+ => ~ p(n6,n6,n3) )).++fof(axN45_66_4,axiom,+ ( p(n4,n5,n4)+ => ~ p(n6,n6,n4) )).++fof(axN45_66_5,axiom,+ ( p(n4,n5,n5)+ => ~ p(n6,n6,n5) )).++fof(axN45_66_6,axiom,+ ( p(n4,n5,n6)+ => ~ p(n6,n6,n6) )).++fof(axN45_66_7,axiom,+ ( p(n4,n5,n7)+ => ~ p(n6,n6,n7) )).++fof(axN45_66_8,axiom,+ ( p(n4,n5,n8)+ => ~ p(n6,n6,n8) )).++fof(axN45_66_9,axiom,+ ( p(n4,n5,n9)+ => ~ p(n6,n6,n9) )).++fof(axN46_54_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n5,n4,n1) )).++fof(axN46_54_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n5,n4,n2) )).++fof(axN46_54_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n5,n4,n3) )).++fof(axN46_54_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n5,n4,n4) )).++fof(axN46_54_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n5,n4,n5) )).++fof(axN46_54_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n5,n4,n6) )).++fof(axN46_54_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n5,n4,n7) )).++fof(axN46_54_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n5,n4,n8) )).++fof(axN46_54_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n5,n4,n9) )).++fof(axN46_55_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n5,n5,n1) )).++fof(axN46_55_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n5,n5,n2) )).++fof(axN46_55_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n5,n5,n3) )).++fof(axN46_55_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n5,n5,n4) )).++fof(axN46_55_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n5,n5,n5) )).++fof(axN46_55_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n5,n5,n6) )).++fof(axN46_55_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n5,n5,n7) )).++fof(axN46_55_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n5,n5,n8) )).++fof(axN46_55_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n5,n5,n9) )).++fof(axN46_64_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n6,n4,n1) )).++fof(axN46_64_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n6,n4,n2) )).++fof(axN46_64_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n6,n4,n3) )).++fof(axN46_64_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n6,n4,n4) )).++fof(axN46_64_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n6,n4,n5) )).++fof(axN46_64_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n6,n4,n6) )).++fof(axN46_64_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n6,n4,n7) )).++fof(axN46_64_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n6,n4,n8) )).++fof(axN46_64_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n6,n4,n9) )).++fof(axN46_65_1,axiom,+ ( p(n4,n6,n1)+ => ~ p(n6,n5,n1) )).++fof(axN46_65_2,axiom,+ ( p(n4,n6,n2)+ => ~ p(n6,n5,n2) )).++fof(axN46_65_3,axiom,+ ( p(n4,n6,n3)+ => ~ p(n6,n5,n3) )).++fof(axN46_65_4,axiom,+ ( p(n4,n6,n4)+ => ~ p(n6,n5,n4) )).++fof(axN46_65_5,axiom,+ ( p(n4,n6,n5)+ => ~ p(n6,n5,n5) )).++fof(axN46_65_6,axiom,+ ( p(n4,n6,n6)+ => ~ p(n6,n5,n6) )).++fof(axN46_65_7,axiom,+ ( p(n4,n6,n7)+ => ~ p(n6,n5,n7) )).++fof(axN46_65_8,axiom,+ ( p(n4,n6,n8)+ => ~ p(n6,n5,n8) )).++fof(axN46_65_9,axiom,+ ( p(n4,n6,n9)+ => ~ p(n6,n5,n9) )).++fof(axN54_65_1,axiom,+ ( p(n5,n4,n1)+ => ~ p(n6,n5,n1) )).++fof(axN54_65_2,axiom,+ ( p(n5,n4,n2)+ => ~ p(n6,n5,n2) )).++fof(axN54_65_3,axiom,+ ( p(n5,n4,n3)+ => ~ p(n6,n5,n3) )).++fof(axN54_65_4,axiom,+ ( p(n5,n4,n4)+ => ~ p(n6,n5,n4) )).++fof(axN54_65_5,axiom,+ ( p(n5,n4,n5)+ => ~ p(n6,n5,n5) )).++fof(axN54_65_6,axiom,+ ( p(n5,n4,n6)+ => ~ p(n6,n5,n6) )).++fof(axN54_65_7,axiom,+ ( p(n5,n4,n7)+ => ~ p(n6,n5,n7) )).++fof(axN54_65_8,axiom,+ ( p(n5,n4,n8)+ => ~ p(n6,n5,n8) )).++fof(axN54_65_9,axiom,+ ( p(n5,n4,n9)+ => ~ p(n6,n5,n9) )).++fof(axN54_66_1,axiom,+ ( p(n5,n4,n1)+ => ~ p(n6,n6,n1) )).++fof(axN54_66_2,axiom,+ ( p(n5,n4,n2)+ => ~ p(n6,n6,n2) )).++fof(axN54_66_3,axiom,+ ( p(n5,n4,n3)+ => ~ p(n6,n6,n3) )).++fof(axN54_66_4,axiom,+ ( p(n5,n4,n4)+ => ~ p(n6,n6,n4) )).++fof(axN54_66_5,axiom,+ ( p(n5,n4,n5)+ => ~ p(n6,n6,n5) )).++fof(axN54_66_6,axiom,+ ( p(n5,n4,n6)+ => ~ p(n6,n6,n6) )).++fof(axN54_66_7,axiom,+ ( p(n5,n4,n7)+ => ~ p(n6,n6,n7) )).++fof(axN54_66_8,axiom,+ ( p(n5,n4,n8)+ => ~ p(n6,n6,n8) )).++fof(axN54_66_9,axiom,+ ( p(n5,n4,n9)+ => ~ p(n6,n6,n9) )).++fof(axN55_64_1,axiom,+ ( p(n5,n5,n1)+ => ~ p(n6,n4,n1) )).++fof(axN55_64_2,axiom,+ ( p(n5,n5,n2)+ => ~ p(n6,n4,n2) )).++fof(axN55_64_3,axiom,+ ( p(n5,n5,n3)+ => ~ p(n6,n4,n3) )).++fof(axN55_64_4,axiom,+ ( p(n5,n5,n4)+ => ~ p(n6,n4,n4) )).++fof(axN55_64_5,axiom,+ ( p(n5,n5,n5)+ => ~ p(n6,n4,n5) )).++fof(axN55_64_6,axiom,+ ( p(n5,n5,n6)+ => ~ p(n6,n4,n6) )).++fof(axN55_64_7,axiom,+ ( p(n5,n5,n7)+ => ~ p(n6,n4,n7) )).++fof(axN55_64_8,axiom,+ ( p(n5,n5,n8)+ => ~ p(n6,n4,n8) )).++fof(axN55_64_9,axiom,+ ( p(n5,n5,n9)+ => ~ p(n6,n4,n9) )).++fof(axN55_66_1,axiom,+ ( p(n5,n5,n1)+ => ~ p(n6,n6,n1) )).++fof(axN55_66_2,axiom,+ ( p(n5,n5,n2)+ => ~ p(n6,n6,n2) )).++fof(axN55_66_3,axiom,+ ( p(n5,n5,n3)+ => ~ p(n6,n6,n3) )).++fof(axN55_66_4,axiom,+ ( p(n5,n5,n4)+ => ~ p(n6,n6,n4) )).++fof(axN55_66_5,axiom,+ ( p(n5,n5,n5)+ => ~ p(n6,n6,n5) )).++fof(axN55_66_6,axiom,+ ( p(n5,n5,n6)+ => ~ p(n6,n6,n6) )).++fof(axN55_66_7,axiom,+ ( p(n5,n5,n7)+ => ~ p(n6,n6,n7) )).++fof(axN55_66_8,axiom,+ ( p(n5,n5,n8)+ => ~ p(n6,n6,n8) )).++fof(axN55_66_9,axiom,+ ( p(n5,n5,n9)+ => ~ p(n6,n6,n9) )).++fof(axN56_64_1,axiom,+ ( p(n5,n6,n1)+ => ~ p(n6,n4,n1) )).++fof(axN56_64_2,axiom,+ ( p(n5,n6,n2)+ => ~ p(n6,n4,n2) )).++fof(axN56_64_3,axiom,+ ( p(n5,n6,n3)+ => ~ p(n6,n4,n3) )).++fof(axN56_64_4,axiom,+ ( p(n5,n6,n4)+ => ~ p(n6,n4,n4) )).++fof(axN56_64_5,axiom,+ ( p(n5,n6,n5)+ => ~ p(n6,n4,n5) )).++fof(axN56_64_6,axiom,+ ( p(n5,n6,n6)+ => ~ p(n6,n4,n6) )).++fof(axN56_64_7,axiom,+ ( p(n5,n6,n7)+ => ~ p(n6,n4,n7) )).++fof(axN56_64_8,axiom,+ ( p(n5,n6,n8)+ => ~ p(n6,n4,n8) )).++fof(axN56_64_9,axiom,+ ( p(n5,n6,n9)+ => ~ p(n6,n4,n9) )).++fof(axN56_65_1,axiom,+ ( p(n5,n6,n1)+ => ~ p(n6,n5,n1) )).++fof(axN56_65_2,axiom,+ ( p(n5,n6,n2)+ => ~ p(n6,n5,n2) )).++fof(axN56_65_3,axiom,+ ( p(n5,n6,n3)+ => ~ p(n6,n5,n3) )).++fof(axN56_65_4,axiom,+ ( p(n5,n6,n4)+ => ~ p(n6,n5,n4) )).++fof(axN56_65_5,axiom,+ ( p(n5,n6,n5)+ => ~ p(n6,n5,n5) )).++fof(axN56_65_6,axiom,+ ( p(n5,n6,n6)+ => ~ p(n6,n5,n6) )).++fof(axN56_65_7,axiom,+ ( p(n5,n6,n7)+ => ~ p(n6,n5,n7) )).++fof(axN56_65_8,axiom,+ ( p(n5,n6,n8)+ => ~ p(n6,n5,n8) )).++fof(axN56_65_9,axiom,+ ( p(n5,n6,n9)+ => ~ p(n6,n5,n9) )).++fof(axN47_58_1,axiom,+ ( p(n4,n7,n1)+ => ~ p(n5,n8,n1) )).++fof(axN47_58_2,axiom,+ ( p(n4,n7,n2)+ => ~ p(n5,n8,n2) )).++fof(axN47_58_3,axiom,+ ( p(n4,n7,n3)+ => ~ p(n5,n8,n3) )).++fof(axN47_58_4,axiom,+ ( p(n4,n7,n4)+ => ~ p(n5,n8,n4) )).++fof(axN47_58_5,axiom,+ ( p(n4,n7,n5)+ => ~ p(n5,n8,n5) )).++fof(axN47_58_6,axiom,+ ( p(n4,n7,n6)+ => ~ p(n5,n8,n6) )).++fof(axN47_58_7,axiom,+ ( p(n4,n7,n7)+ => ~ p(n5,n8,n7) )).++fof(axN47_58_8,axiom,+ ( p(n4,n7,n8)+ => ~ p(n5,n8,n8) )).++fof(axN47_58_9,axiom,+ ( p(n4,n7,n9)+ => ~ p(n5,n8,n9) )).++fof(axN47_59_1,axiom,+ ( p(n4,n7,n1)+ => ~ p(n5,n9,n1) )).++fof(axN47_59_2,axiom,+ ( p(n4,n7,n2)+ => ~ p(n5,n9,n2) )).++fof(axN47_59_3,axiom,+ ( p(n4,n7,n3)+ => ~ p(n5,n9,n3) )).++fof(axN47_59_4,axiom,+ ( p(n4,n7,n4)+ => ~ p(n5,n9,n4) )).++fof(axN47_59_5,axiom,+ ( p(n4,n7,n5)+ => ~ p(n5,n9,n5) )).++fof(axN47_59_6,axiom,+ ( p(n4,n7,n6)+ => ~ p(n5,n9,n6) )).++fof(axN47_59_7,axiom,+ ( p(n4,n7,n7)+ => ~ p(n5,n9,n7) )).++fof(axN47_59_8,axiom,+ ( p(n4,n7,n8)+ => ~ p(n5,n9,n8) )).++fof(axN47_59_9,axiom,+ ( p(n4,n7,n9)+ => ~ p(n5,n9,n9) )).++fof(axN47_68_1,axiom,+ ( p(n4,n7,n1)+ => ~ p(n6,n8,n1) )).++fof(axN47_68_2,axiom,+ ( p(n4,n7,n2)+ => ~ p(n6,n8,n2) )).++fof(axN47_68_3,axiom,+ ( p(n4,n7,n3)+ => ~ p(n6,n8,n3) )).++fof(axN47_68_4,axiom,+ ( p(n4,n7,n4)+ => ~ p(n6,n8,n4) )).++fof(axN47_68_5,axiom,+ ( p(n4,n7,n5)+ => ~ p(n6,n8,n5) )).++fof(axN47_68_6,axiom,+ ( p(n4,n7,n6)+ => ~ p(n6,n8,n6) )).++fof(axN47_68_7,axiom,+ ( p(n4,n7,n7)+ => ~ p(n6,n8,n7) )).++fof(axN47_68_8,axiom,+ ( p(n4,n7,n8)+ => ~ p(n6,n8,n8) )).++fof(axN47_68_9,axiom,+ ( p(n4,n7,n9)+ => ~ p(n6,n8,n9) )).++fof(axN47_69_1,axiom,+ ( p(n4,n7,n1)+ => ~ p(n6,n9,n1) )).++fof(axN47_69_2,axiom,+ ( p(n4,n7,n2)+ => ~ p(n6,n9,n2) )).++fof(axN47_69_3,axiom,+ ( p(n4,n7,n3)+ => ~ p(n6,n9,n3) )).++fof(axN47_69_4,axiom,+ ( p(n4,n7,n4)+ => ~ p(n6,n9,n4) )).++fof(axN47_69_5,axiom,+ ( p(n4,n7,n5)+ => ~ p(n6,n9,n5) )).++fof(axN47_69_6,axiom,+ ( p(n4,n7,n6)+ => ~ p(n6,n9,n6) )).++fof(axN47_69_7,axiom,+ ( p(n4,n7,n7)+ => ~ p(n6,n9,n7) )).++fof(axN47_69_8,axiom,+ ( p(n4,n7,n8)+ => ~ p(n6,n9,n8) )).++fof(axN47_69_9,axiom,+ ( p(n4,n7,n9)+ => ~ p(n6,n9,n9) )).++fof(axN48_57_1,axiom,+ ( p(n4,n8,n1)+ => ~ p(n5,n7,n1) )).++fof(axN48_57_2,axiom,+ ( p(n4,n8,n2)+ => ~ p(n5,n7,n2) )).++fof(axN48_57_3,axiom,+ ( p(n4,n8,n3)+ => ~ p(n5,n7,n3) )).++fof(axN48_57_4,axiom,+ ( p(n4,n8,n4)+ => ~ p(n5,n7,n4) )).++fof(axN48_57_5,axiom,+ ( p(n4,n8,n5)+ => ~ p(n5,n7,n5) )).++fof(axN48_57_6,axiom,+ ( p(n4,n8,n6)+ => ~ p(n5,n7,n6) )).++fof(axN48_57_7,axiom,+ ( p(n4,n8,n7)+ => ~ p(n5,n7,n7) )).++fof(axN48_57_8,axiom,+ ( p(n4,n8,n8)+ => ~ p(n5,n7,n8) )).++fof(axN48_57_9,axiom,+ ( p(n4,n8,n9)+ => ~ p(n5,n7,n9) )).++fof(axN48_59_1,axiom,+ ( p(n4,n8,n1)+ => ~ p(n5,n9,n1) )).++fof(axN48_59_2,axiom,+ ( p(n4,n8,n2)+ => ~ p(n5,n9,n2) )).++fof(axN48_59_3,axiom,+ ( p(n4,n8,n3)+ => ~ p(n5,n9,n3) )).++fof(axN48_59_4,axiom,+ ( p(n4,n8,n4)+ => ~ p(n5,n9,n4) )).++fof(axN48_59_5,axiom,+ ( p(n4,n8,n5)+ => ~ p(n5,n9,n5) )).++fof(axN48_59_6,axiom,+ ( p(n4,n8,n6)+ => ~ p(n5,n9,n6) )).++fof(axN48_59_7,axiom,+ ( p(n4,n8,n7)+ => ~ p(n5,n9,n7) )).++fof(axN48_59_8,axiom,+ ( p(n4,n8,n8)+ => ~ p(n5,n9,n8) )).++fof(axN48_59_9,axiom,+ ( p(n4,n8,n9)+ => ~ p(n5,n9,n9) )).++fof(axN48_67_1,axiom,+ ( p(n4,n8,n1)+ => ~ p(n6,n7,n1) )).++fof(axN48_67_2,axiom,+ ( p(n4,n8,n2)+ => ~ p(n6,n7,n2) )).++fof(axN48_67_3,axiom,+ ( p(n4,n8,n3)+ => ~ p(n6,n7,n3) )).++fof(axN48_67_4,axiom,+ ( p(n4,n8,n4)+ => ~ p(n6,n7,n4) )).++fof(axN48_67_5,axiom,+ ( p(n4,n8,n5)+ => ~ p(n6,n7,n5) )).++fof(axN48_67_6,axiom,+ ( p(n4,n8,n6)+ => ~ p(n6,n7,n6) )).++fof(axN48_67_7,axiom,+ ( p(n4,n8,n7)+ => ~ p(n6,n7,n7) )).++fof(axN48_67_8,axiom,+ ( p(n4,n8,n8)+ => ~ p(n6,n7,n8) )).++fof(axN48_67_9,axiom,+ ( p(n4,n8,n9)+ => ~ p(n6,n7,n9) )).++fof(axN48_69_1,axiom,+ ( p(n4,n8,n1)+ => ~ p(n6,n9,n1) )).++fof(axN48_69_2,axiom,+ ( p(n4,n8,n2)+ => ~ p(n6,n9,n2) )).++fof(axN48_69_3,axiom,+ ( p(n4,n8,n3)+ => ~ p(n6,n9,n3) )).++fof(axN48_69_4,axiom,+ ( p(n4,n8,n4)+ => ~ p(n6,n9,n4) )).++fof(axN48_69_5,axiom,+ ( p(n4,n8,n5)+ => ~ p(n6,n9,n5) )).++fof(axN48_69_6,axiom,+ ( p(n4,n8,n6)+ => ~ p(n6,n9,n6) )).++fof(axN48_69_7,axiom,+ ( p(n4,n8,n7)+ => ~ p(n6,n9,n7) )).++fof(axN48_69_8,axiom,+ ( p(n4,n8,n8)+ => ~ p(n6,n9,n8) )).++fof(axN48_69_9,axiom,+ ( p(n4,n8,n9)+ => ~ p(n6,n9,n9) )).++fof(axN49_57_1,axiom,+ ( p(n4,n9,n1)+ => ~ p(n5,n7,n1) )).++fof(axN49_57_2,axiom,+ ( p(n4,n9,n2)+ => ~ p(n5,n7,n2) )).++fof(axN49_57_3,axiom,+ ( p(n4,n9,n3)+ => ~ p(n5,n7,n3) )).++fof(axN49_57_4,axiom,+ ( p(n4,n9,n4)+ => ~ p(n5,n7,n4) )).++fof(axN49_57_5,axiom,+ ( p(n4,n9,n5)+ => ~ p(n5,n7,n5) )).++fof(axN49_57_6,axiom,+ ( p(n4,n9,n6)+ => ~ p(n5,n7,n6) )).++fof(axN49_57_7,axiom,+ ( p(n4,n9,n7)+ => ~ p(n5,n7,n7) )).++fof(axN49_57_8,axiom,+ ( p(n4,n9,n8)+ => ~ p(n5,n7,n8) )).++fof(axN49_57_9,axiom,+ ( p(n4,n9,n9)+ => ~ p(n5,n7,n9) )).++fof(axN49_58_1,axiom,+ ( p(n4,n9,n1)+ => ~ p(n5,n8,n1) )).++fof(axN49_58_2,axiom,+ ( p(n4,n9,n2)+ => ~ p(n5,n8,n2) )).++fof(axN49_58_3,axiom,+ ( p(n4,n9,n3)+ => ~ p(n5,n8,n3) )).++fof(axN49_58_4,axiom,+ ( p(n4,n9,n4)+ => ~ p(n5,n8,n4) )).++fof(axN49_58_5,axiom,+ ( p(n4,n9,n5)+ => ~ p(n5,n8,n5) )).++fof(axN49_58_6,axiom,+ ( p(n4,n9,n6)+ => ~ p(n5,n8,n6) )).++fof(axN49_58_7,axiom,+ ( p(n4,n9,n7)+ => ~ p(n5,n8,n7) )).++fof(axN49_58_8,axiom,+ ( p(n4,n9,n8)+ => ~ p(n5,n8,n8) )).++fof(axN49_58_9,axiom,+ ( p(n4,n9,n9)+ => ~ p(n5,n8,n9) )).++fof(axN49_67_1,axiom,+ ( p(n4,n9,n1)+ => ~ p(n6,n7,n1) )).++fof(axN49_67_2,axiom,+ ( p(n4,n9,n2)+ => ~ p(n6,n7,n2) )).++fof(axN49_67_3,axiom,+ ( p(n4,n9,n3)+ => ~ p(n6,n7,n3) )).++fof(axN49_67_4,axiom,+ ( p(n4,n9,n4)+ => ~ p(n6,n7,n4) )).++fof(axN49_67_5,axiom,+ ( p(n4,n9,n5)+ => ~ p(n6,n7,n5) )).++fof(axN49_67_6,axiom,+ ( p(n4,n9,n6)+ => ~ p(n6,n7,n6) )).++fof(axN49_67_7,axiom,+ ( p(n4,n9,n7)+ => ~ p(n6,n7,n7) )).++fof(axN49_67_8,axiom,+ ( p(n4,n9,n8)+ => ~ p(n6,n7,n8) )).++fof(axN49_67_9,axiom,+ ( p(n4,n9,n9)+ => ~ p(n6,n7,n9) )).++fof(axN49_68_1,axiom,+ ( p(n4,n9,n1)+ => ~ p(n6,n8,n1) )).++fof(axN49_68_2,axiom,+ ( p(n4,n9,n2)+ => ~ p(n6,n8,n2) )).++fof(axN49_68_3,axiom,+ ( p(n4,n9,n3)+ => ~ p(n6,n8,n3) )).++fof(axN49_68_4,axiom,+ ( p(n4,n9,n4)+ => ~ p(n6,n8,n4) )).++fof(axN49_68_5,axiom,+ ( p(n4,n9,n5)+ => ~ p(n6,n8,n5) )).++fof(axN49_68_6,axiom,+ ( p(n4,n9,n6)+ => ~ p(n6,n8,n6) )).++fof(axN49_68_7,axiom,+ ( p(n4,n9,n7)+ => ~ p(n6,n8,n7) )).++fof(axN49_68_8,axiom,+ ( p(n4,n9,n8)+ => ~ p(n6,n8,n8) )).++fof(axN49_68_9,axiom,+ ( p(n4,n9,n9)+ => ~ p(n6,n8,n9) )).++fof(axN57_68_1,axiom,+ ( p(n5,n7,n1)+ => ~ p(n6,n8,n1) )).++fof(axN57_68_2,axiom,+ ( p(n5,n7,n2)+ => ~ p(n6,n8,n2) )).++fof(axN57_68_3,axiom,+ ( p(n5,n7,n3)+ => ~ p(n6,n8,n3) )).++fof(axN57_68_4,axiom,+ ( p(n5,n7,n4)+ => ~ p(n6,n8,n4) )).++fof(axN57_68_5,axiom,+ ( p(n5,n7,n5)+ => ~ p(n6,n8,n5) )).++fof(axN57_68_6,axiom,+ ( p(n5,n7,n6)+ => ~ p(n6,n8,n6) )).++fof(axN57_68_7,axiom,+ ( p(n5,n7,n7)+ => ~ p(n6,n8,n7) )).++fof(axN57_68_8,axiom,+ ( p(n5,n7,n8)+ => ~ p(n6,n8,n8) )).++fof(axN57_68_9,axiom,+ ( p(n5,n7,n9)+ => ~ p(n6,n8,n9) )).++fof(axN57_69_1,axiom,+ ( p(n5,n7,n1)+ => ~ p(n6,n9,n1) )).++fof(axN57_69_2,axiom,+ ( p(n5,n7,n2)+ => ~ p(n6,n9,n2) )).++fof(axN57_69_3,axiom,+ ( p(n5,n7,n3)+ => ~ p(n6,n9,n3) )).++fof(axN57_69_4,axiom,+ ( p(n5,n7,n4)+ => ~ p(n6,n9,n4) )).++fof(axN57_69_5,axiom,+ ( p(n5,n7,n5)+ => ~ p(n6,n9,n5) )).++fof(axN57_69_6,axiom,+ ( p(n5,n7,n6)+ => ~ p(n6,n9,n6) )).++fof(axN57_69_7,axiom,+ ( p(n5,n7,n7)+ => ~ p(n6,n9,n7) )).++fof(axN57_69_8,axiom,+ ( p(n5,n7,n8)+ => ~ p(n6,n9,n8) )).++fof(axN57_69_9,axiom,+ ( p(n5,n7,n9)+ => ~ p(n6,n9,n9) )).++fof(axN58_67_1,axiom,+ ( p(n5,n8,n1)+ => ~ p(n6,n7,n1) )).++fof(axN58_67_2,axiom,+ ( p(n5,n8,n2)+ => ~ p(n6,n7,n2) )).++fof(axN58_67_3,axiom,+ ( p(n5,n8,n3)+ => ~ p(n6,n7,n3) )).++fof(axN58_67_4,axiom,+ ( p(n5,n8,n4)+ => ~ p(n6,n7,n4) )).++fof(axN58_67_5,axiom,+ ( p(n5,n8,n5)+ => ~ p(n6,n7,n5) )).++fof(axN58_67_6,axiom,+ ( p(n5,n8,n6)+ => ~ p(n6,n7,n6) )).++fof(axN58_67_7,axiom,+ ( p(n5,n8,n7)+ => ~ p(n6,n7,n7) )).++fof(axN58_67_8,axiom,+ ( p(n5,n8,n8)+ => ~ p(n6,n7,n8) )).++fof(axN58_67_9,axiom,+ ( p(n5,n8,n9)+ => ~ p(n6,n7,n9) )).++fof(axN58_69_1,axiom,+ ( p(n5,n8,n1)+ => ~ p(n6,n9,n1) )).++fof(axN58_69_2,axiom,+ ( p(n5,n8,n2)+ => ~ p(n6,n9,n2) )).++fof(axN58_69_3,axiom,+ ( p(n5,n8,n3)+ => ~ p(n6,n9,n3) )).++fof(axN58_69_4,axiom,+ ( p(n5,n8,n4)+ => ~ p(n6,n9,n4) )).++fof(axN58_69_5,axiom,+ ( p(n5,n8,n5)+ => ~ p(n6,n9,n5) )).++fof(axN58_69_6,axiom,+ ( p(n5,n8,n6)+ => ~ p(n6,n9,n6) )).++fof(axN58_69_7,axiom,+ ( p(n5,n8,n7)+ => ~ p(n6,n9,n7) )).++fof(axN58_69_8,axiom,+ ( p(n5,n8,n8)+ => ~ p(n6,n9,n8) )).++fof(axN58_69_9,axiom,+ ( p(n5,n8,n9)+ => ~ p(n6,n9,n9) )).++fof(axN59_67_1,axiom,+ ( p(n5,n9,n1)+ => ~ p(n6,n7,n1) )).++fof(axN59_67_2,axiom,+ ( p(n5,n9,n2)+ => ~ p(n6,n7,n2) )).++fof(axN59_67_3,axiom,+ ( p(n5,n9,n3)+ => ~ p(n6,n7,n3) )).++fof(axN59_67_4,axiom,+ ( p(n5,n9,n4)+ => ~ p(n6,n7,n4) )).++fof(axN59_67_5,axiom,+ ( p(n5,n9,n5)+ => ~ p(n6,n7,n5) )).++fof(axN59_67_6,axiom,+ ( p(n5,n9,n6)+ => ~ p(n6,n7,n6) )).++fof(axN59_67_7,axiom,+ ( p(n5,n9,n7)+ => ~ p(n6,n7,n7) )).++fof(axN59_67_8,axiom,+ ( p(n5,n9,n8)+ => ~ p(n6,n7,n8) )).++fof(axN59_67_9,axiom,+ ( p(n5,n9,n9)+ => ~ p(n6,n7,n9) )).++fof(axN59_68_1,axiom,+ ( p(n5,n9,n1)+ => ~ p(n6,n8,n1) )).++fof(axN59_68_2,axiom,+ ( p(n5,n9,n2)+ => ~ p(n6,n8,n2) )).++fof(axN59_68_3,axiom,+ ( p(n5,n9,n3)+ => ~ p(n6,n8,n3) )).++fof(axN59_68_4,axiom,+ ( p(n5,n9,n4)+ => ~ p(n6,n8,n4) )).++fof(axN59_68_5,axiom,+ ( p(n5,n9,n5)+ => ~ p(n6,n8,n5) )).++fof(axN59_68_6,axiom,+ ( p(n5,n9,n6)+ => ~ p(n6,n8,n6) )).++fof(axN59_68_7,axiom,+ ( p(n5,n9,n7)+ => ~ p(n6,n8,n7) )).++fof(axN59_68_8,axiom,+ ( p(n5,n9,n8)+ => ~ p(n6,n8,n8) )).++fof(axN59_68_9,axiom,+ ( p(n5,n9,n9)+ => ~ p(n6,n8,n9) )).++fof(axN71_82_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n8,n2,n1) )).++fof(axN71_82_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n8,n2,n2) )).++fof(axN71_82_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n8,n2,n3) )).++fof(axN71_82_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n8,n2,n4) )).++fof(axN71_82_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n8,n2,n5) )).++fof(axN71_82_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n8,n2,n6) )).++fof(axN71_82_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n8,n2,n7) )).++fof(axN71_82_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n8,n2,n8) )).++fof(axN71_82_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n8,n2,n9) )).++fof(axN71_83_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n8,n3,n1) )).++fof(axN71_83_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n8,n3,n2) )).++fof(axN71_83_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n8,n3,n3) )).++fof(axN71_83_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n8,n3,n4) )).++fof(axN71_83_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n8,n3,n5) )).++fof(axN71_83_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n8,n3,n6) )).++fof(axN71_83_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n8,n3,n7) )).++fof(axN71_83_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n8,n3,n8) )).++fof(axN71_83_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n8,n3,n9) )).++fof(axN71_92_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n9,n2,n1) )).++fof(axN71_92_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n9,n2,n2) )).++fof(axN71_92_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n9,n2,n3) )).++fof(axN71_92_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n9,n2,n4) )).++fof(axN71_92_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n9,n2,n5) )).++fof(axN71_92_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n9,n2,n6) )).++fof(axN71_92_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n9,n2,n7) )).++fof(axN71_92_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n9,n2,n8) )).++fof(axN71_92_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n9,n2,n9) )).++fof(axN71_93_1,axiom,+ ( p(n7,n1,n1)+ => ~ p(n9,n3,n1) )).++fof(axN71_93_2,axiom,+ ( p(n7,n1,n2)+ => ~ p(n9,n3,n2) )).++fof(axN71_93_3,axiom,+ ( p(n7,n1,n3)+ => ~ p(n9,n3,n3) )).++fof(axN71_93_4,axiom,+ ( p(n7,n1,n4)+ => ~ p(n9,n3,n4) )).++fof(axN71_93_5,axiom,+ ( p(n7,n1,n5)+ => ~ p(n9,n3,n5) )).++fof(axN71_93_6,axiom,+ ( p(n7,n1,n6)+ => ~ p(n9,n3,n6) )).++fof(axN71_93_7,axiom,+ ( p(n7,n1,n7)+ => ~ p(n9,n3,n7) )).++fof(axN71_93_8,axiom,+ ( p(n7,n1,n8)+ => ~ p(n9,n3,n8) )).++fof(axN71_93_9,axiom,+ ( p(n7,n1,n9)+ => ~ p(n9,n3,n9) )).++fof(axN72_81_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n8,n1,n1) )).++fof(axN72_81_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n8,n1,n2) )).++fof(axN72_81_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n8,n1,n3) )).++fof(axN72_81_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n8,n1,n4) )).++fof(axN72_81_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n8,n1,n5) )).++fof(axN72_81_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n8,n1,n6) )).++fof(axN72_81_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n8,n1,n7) )).++fof(axN72_81_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n8,n1,n8) )).++fof(axN72_81_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n8,n1,n9) )).++fof(axN72_83_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n8,n3,n1) )).++fof(axN72_83_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n8,n3,n2) )).++fof(axN72_83_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n8,n3,n3) )).++fof(axN72_83_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n8,n3,n4) )).++fof(axN72_83_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n8,n3,n5) )).++fof(axN72_83_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n8,n3,n6) )).++fof(axN72_83_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n8,n3,n7) )).++fof(axN72_83_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n8,n3,n8) )).++fof(axN72_83_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n8,n3,n9) )).++fof(axN72_91_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n9,n1,n1) )).++fof(axN72_91_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n9,n1,n2) )).++fof(axN72_91_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n9,n1,n3) )).++fof(axN72_91_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n9,n1,n4) )).++fof(axN72_91_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n9,n1,n5) )).++fof(axN72_91_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n9,n1,n6) )).++fof(axN72_91_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n9,n1,n7) )).++fof(axN72_91_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n9,n1,n8) )).++fof(axN72_91_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n9,n1,n9) )).++fof(axN72_93_1,axiom,+ ( p(n7,n2,n1)+ => ~ p(n9,n3,n1) )).++fof(axN72_93_2,axiom,+ ( p(n7,n2,n2)+ => ~ p(n9,n3,n2) )).++fof(axN72_93_3,axiom,+ ( p(n7,n2,n3)+ => ~ p(n9,n3,n3) )).++fof(axN72_93_4,axiom,+ ( p(n7,n2,n4)+ => ~ p(n9,n3,n4) )).++fof(axN72_93_5,axiom,+ ( p(n7,n2,n5)+ => ~ p(n9,n3,n5) )).++fof(axN72_93_6,axiom,+ ( p(n7,n2,n6)+ => ~ p(n9,n3,n6) )).++fof(axN72_93_7,axiom,+ ( p(n7,n2,n7)+ => ~ p(n9,n3,n7) )).++fof(axN72_93_8,axiom,+ ( p(n7,n2,n8)+ => ~ p(n9,n3,n8) )).++fof(axN72_93_9,axiom,+ ( p(n7,n2,n9)+ => ~ p(n9,n3,n9) )).++fof(axN73_81_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n8,n1,n1) )).++fof(axN73_81_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n8,n1,n2) )).++fof(axN73_81_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n8,n1,n3) )).++fof(axN73_81_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n8,n1,n4) )).++fof(axN73_81_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n8,n1,n5) )).++fof(axN73_81_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n8,n1,n6) )).++fof(axN73_81_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n8,n1,n7) )).++fof(axN73_81_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n8,n1,n8) )).++fof(axN73_81_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n8,n1,n9) )).++fof(axN73_82_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n8,n2,n1) )).++fof(axN73_82_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n8,n2,n2) )).++fof(axN73_82_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n8,n2,n3) )).++fof(axN73_82_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n8,n2,n4) )).++fof(axN73_82_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n8,n2,n5) )).++fof(axN73_82_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n8,n2,n6) )).++fof(axN73_82_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n8,n2,n7) )).++fof(axN73_82_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n8,n2,n8) )).++fof(axN73_82_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n8,n2,n9) )).++fof(axN73_91_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n9,n1,n1) )).++fof(axN73_91_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n9,n1,n2) )).++fof(axN73_91_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n9,n1,n3) )).++fof(axN73_91_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n9,n1,n4) )).++fof(axN73_91_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n9,n1,n5) )).++fof(axN73_91_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n9,n1,n6) )).++fof(axN73_91_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n9,n1,n7) )).++fof(axN73_91_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n9,n1,n8) )).++fof(axN73_91_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n9,n1,n9) )).++fof(axN73_92_1,axiom,+ ( p(n7,n3,n1)+ => ~ p(n9,n2,n1) )).++fof(axN73_92_2,axiom,+ ( p(n7,n3,n2)+ => ~ p(n9,n2,n2) )).++fof(axN73_92_3,axiom,+ ( p(n7,n3,n3)+ => ~ p(n9,n2,n3) )).++fof(axN73_92_4,axiom,+ ( p(n7,n3,n4)+ => ~ p(n9,n2,n4) )).++fof(axN73_92_5,axiom,+ ( p(n7,n3,n5)+ => ~ p(n9,n2,n5) )).++fof(axN73_92_6,axiom,+ ( p(n7,n3,n6)+ => ~ p(n9,n2,n6) )).++fof(axN73_92_7,axiom,+ ( p(n7,n3,n7)+ => ~ p(n9,n2,n7) )).++fof(axN73_92_8,axiom,+ ( p(n7,n3,n8)+ => ~ p(n9,n2,n8) )).++fof(axN73_92_9,axiom,+ ( p(n7,n3,n9)+ => ~ p(n9,n2,n9) )).++fof(axN81_92_1,axiom,+ ( p(n8,n1,n1)+ => ~ p(n9,n2,n1) )).++fof(axN81_92_2,axiom,+ ( p(n8,n1,n2)+ => ~ p(n9,n2,n2) )).++fof(axN81_92_3,axiom,+ ( p(n8,n1,n3)+ => ~ p(n9,n2,n3) )).++fof(axN81_92_4,axiom,+ ( p(n8,n1,n4)+ => ~ p(n9,n2,n4) )).++fof(axN81_92_5,axiom,+ ( p(n8,n1,n5)+ => ~ p(n9,n2,n5) )).++fof(axN81_92_6,axiom,+ ( p(n8,n1,n6)+ => ~ p(n9,n2,n6) )).++fof(axN81_92_7,axiom,+ ( p(n8,n1,n7)+ => ~ p(n9,n2,n7) )).++fof(axN81_92_8,axiom,+ ( p(n8,n1,n8)+ => ~ p(n9,n2,n8) )).++fof(axN81_92_9,axiom,+ ( p(n8,n1,n9)+ => ~ p(n9,n2,n9) )).++fof(axN81_93_1,axiom,+ ( p(n8,n1,n1)+ => ~ p(n9,n3,n1) )).++fof(axN81_93_2,axiom,+ ( p(n8,n1,n2)+ => ~ p(n9,n3,n2) )).++fof(axN81_93_3,axiom,+ ( p(n8,n1,n3)+ => ~ p(n9,n3,n3) )).++fof(axN81_93_4,axiom,+ ( p(n8,n1,n4)+ => ~ p(n9,n3,n4) )).++fof(axN81_93_5,axiom,+ ( p(n8,n1,n5)+ => ~ p(n9,n3,n5) )).++fof(axN81_93_6,axiom,+ ( p(n8,n1,n6)+ => ~ p(n9,n3,n6) )).++fof(axN81_93_7,axiom,+ ( p(n8,n1,n7)+ => ~ p(n9,n3,n7) )).++fof(axN81_93_8,axiom,+ ( p(n8,n1,n8)+ => ~ p(n9,n3,n8) )).++fof(axN81_93_9,axiom,+ ( p(n8,n1,n9)+ => ~ p(n9,n3,n9) )).++fof(axN82_91_1,axiom,+ ( p(n8,n2,n1)+ => ~ p(n9,n1,n1) )).++fof(axN82_91_2,axiom,+ ( p(n8,n2,n2)+ => ~ p(n9,n1,n2) )).++fof(axN82_91_3,axiom,+ ( p(n8,n2,n3)+ => ~ p(n9,n1,n3) )).++fof(axN82_91_4,axiom,+ ( p(n8,n2,n4)+ => ~ p(n9,n1,n4) )).++fof(axN82_91_5,axiom,+ ( p(n8,n2,n5)+ => ~ p(n9,n1,n5) )).++fof(axN82_91_6,axiom,+ ( p(n8,n2,n6)+ => ~ p(n9,n1,n6) )).++fof(axN82_91_7,axiom,+ ( p(n8,n2,n7)+ => ~ p(n9,n1,n7) )).++fof(axN82_91_8,axiom,+ ( p(n8,n2,n8)+ => ~ p(n9,n1,n8) )).++fof(axN82_91_9,axiom,+ ( p(n8,n2,n9)+ => ~ p(n9,n1,n9) )).++fof(axN82_93_1,axiom,+ ( p(n8,n2,n1)+ => ~ p(n9,n3,n1) )).++fof(axN82_93_2,axiom,+ ( p(n8,n2,n2)+ => ~ p(n9,n3,n2) )).++fof(axN82_93_3,axiom,+ ( p(n8,n2,n3)+ => ~ p(n9,n3,n3) )).++fof(axN82_93_4,axiom,+ ( p(n8,n2,n4)+ => ~ p(n9,n3,n4) )).++fof(axN82_93_5,axiom,+ ( p(n8,n2,n5)+ => ~ p(n9,n3,n5) )).++fof(axN82_93_6,axiom,+ ( p(n8,n2,n6)+ => ~ p(n9,n3,n6) )).++fof(axN82_93_7,axiom,+ ( p(n8,n2,n7)+ => ~ p(n9,n3,n7) )).++fof(axN82_93_8,axiom,+ ( p(n8,n2,n8)+ => ~ p(n9,n3,n8) )).++fof(axN82_93_9,axiom,+ ( p(n8,n2,n9)+ => ~ p(n9,n3,n9) )).++fof(axN83_91_1,axiom,+ ( p(n8,n3,n1)+ => ~ p(n9,n1,n1) )).++fof(axN83_91_2,axiom,+ ( p(n8,n3,n2)+ => ~ p(n9,n1,n2) )).++fof(axN83_91_3,axiom,+ ( p(n8,n3,n3)+ => ~ p(n9,n1,n3) )).++fof(axN83_91_4,axiom,+ ( p(n8,n3,n4)+ => ~ p(n9,n1,n4) )).++fof(axN83_91_5,axiom,+ ( p(n8,n3,n5)+ => ~ p(n9,n1,n5) )).++fof(axN83_91_6,axiom,+ ( p(n8,n3,n6)+ => ~ p(n9,n1,n6) )).++fof(axN83_91_7,axiom,+ ( p(n8,n3,n7)+ => ~ p(n9,n1,n7) )).++fof(axN83_91_8,axiom,+ ( p(n8,n3,n8)+ => ~ p(n9,n1,n8) )).++fof(axN83_91_9,axiom,+ ( p(n8,n3,n9)+ => ~ p(n9,n1,n9) )).++fof(axN83_92_1,axiom,+ ( p(n8,n3,n1)+ => ~ p(n9,n2,n1) )).++fof(axN83_92_2,axiom,+ ( p(n8,n3,n2)+ => ~ p(n9,n2,n2) )).++fof(axN83_92_3,axiom,+ ( p(n8,n3,n3)+ => ~ p(n9,n2,n3) )).++fof(axN83_92_4,axiom,+ ( p(n8,n3,n4)+ => ~ p(n9,n2,n4) )).++fof(axN83_92_5,axiom,+ ( p(n8,n3,n5)+ => ~ p(n9,n2,n5) )).++fof(axN83_92_6,axiom,+ ( p(n8,n3,n6)+ => ~ p(n9,n2,n6) )).++fof(axN83_92_7,axiom,+ ( p(n8,n3,n7)+ => ~ p(n9,n2,n7) )).++fof(axN83_92_8,axiom,+ ( p(n8,n3,n8)+ => ~ p(n9,n2,n8) )).++fof(axN83_92_9,axiom,+ ( p(n8,n3,n9)+ => ~ p(n9,n2,n9) )).++fof(axN74_85_1,axiom,+ ( p(n7,n4,n1)+ => ~ p(n8,n5,n1) )).++fof(axN74_85_2,axiom,+ ( p(n7,n4,n2)+ => ~ p(n8,n5,n2) )).++fof(axN74_85_3,axiom,+ ( p(n7,n4,n3)+ => ~ p(n8,n5,n3) )).++fof(axN74_85_4,axiom,+ ( p(n7,n4,n4)+ => ~ p(n8,n5,n4) )).++fof(axN74_85_5,axiom,+ ( p(n7,n4,n5)+ => ~ p(n8,n5,n5) )).++fof(axN74_85_6,axiom,+ ( p(n7,n4,n6)+ => ~ p(n8,n5,n6) )).++fof(axN74_85_7,axiom,+ ( p(n7,n4,n7)+ => ~ p(n8,n5,n7) )).++fof(axN74_85_8,axiom,+ ( p(n7,n4,n8)+ => ~ p(n8,n5,n8) )).++fof(axN74_85_9,axiom,+ ( p(n7,n4,n9)+ => ~ p(n8,n5,n9) )).++fof(axN74_86_1,axiom,+ ( p(n7,n4,n1)+ => ~ p(n8,n6,n1) )).++fof(axN74_86_2,axiom,+ ( p(n7,n4,n2)+ => ~ p(n8,n6,n2) )).++fof(axN74_86_3,axiom,+ ( p(n7,n4,n3)+ => ~ p(n8,n6,n3) )).++fof(axN74_86_4,axiom,+ ( p(n7,n4,n4)+ => ~ p(n8,n6,n4) )).++fof(axN74_86_5,axiom,+ ( p(n7,n4,n5)+ => ~ p(n8,n6,n5) )).++fof(axN74_86_6,axiom,+ ( p(n7,n4,n6)+ => ~ p(n8,n6,n6) )).++fof(axN74_86_7,axiom,+ ( p(n7,n4,n7)+ => ~ p(n8,n6,n7) )).++fof(axN74_86_8,axiom,+ ( p(n7,n4,n8)+ => ~ p(n8,n6,n8) )).++fof(axN74_86_9,axiom,+ ( p(n7,n4,n9)+ => ~ p(n8,n6,n9) )).++fof(axN74_95_1,axiom,+ ( p(n7,n4,n1)+ => ~ p(n9,n5,n1) )).++fof(axN74_95_2,axiom,+ ( p(n7,n4,n2)+ => ~ p(n9,n5,n2) )).++fof(axN74_95_3,axiom,+ ( p(n7,n4,n3)+ => ~ p(n9,n5,n3) )).++fof(axN74_95_4,axiom,+ ( p(n7,n4,n4)+ => ~ p(n9,n5,n4) )).++fof(axN74_95_5,axiom,+ ( p(n7,n4,n5)+ => ~ p(n9,n5,n5) )).++fof(axN74_95_6,axiom,+ ( p(n7,n4,n6)+ => ~ p(n9,n5,n6) )).++fof(axN74_95_7,axiom,+ ( p(n7,n4,n7)+ => ~ p(n9,n5,n7) )).++fof(axN74_95_8,axiom,+ ( p(n7,n4,n8)+ => ~ p(n9,n5,n8) )).++fof(axN74_95_9,axiom,+ ( p(n7,n4,n9)+ => ~ p(n9,n5,n9) )).++fof(axN74_96_1,axiom,+ ( p(n7,n4,n1)+ => ~ p(n9,n6,n1) )).++fof(axN74_96_2,axiom,+ ( p(n7,n4,n2)+ => ~ p(n9,n6,n2) )).++fof(axN74_96_3,axiom,+ ( p(n7,n4,n3)+ => ~ p(n9,n6,n3) )).++fof(axN74_96_4,axiom,+ ( p(n7,n4,n4)+ => ~ p(n9,n6,n4) )).++fof(axN74_96_5,axiom,+ ( p(n7,n4,n5)+ => ~ p(n9,n6,n5) )).++fof(axN74_96_6,axiom,+ ( p(n7,n4,n6)+ => ~ p(n9,n6,n6) )).++fof(axN74_96_7,axiom,+ ( p(n7,n4,n7)+ => ~ p(n9,n6,n7) )).++fof(axN74_96_8,axiom,+ ( p(n7,n4,n8)+ => ~ p(n9,n6,n8) )).++fof(axN74_96_9,axiom,+ ( p(n7,n4,n9)+ => ~ p(n9,n6,n9) )).++fof(axN75_84_1,axiom,+ ( p(n7,n5,n1)+ => ~ p(n8,n4,n1) )).++fof(axN75_84_2,axiom,+ ( p(n7,n5,n2)+ => ~ p(n8,n4,n2) )).++fof(axN75_84_3,axiom,+ ( p(n7,n5,n3)+ => ~ p(n8,n4,n3) )).++fof(axN75_84_4,axiom,+ ( p(n7,n5,n4)+ => ~ p(n8,n4,n4) )).++fof(axN75_84_5,axiom,+ ( p(n7,n5,n5)+ => ~ p(n8,n4,n5) )).++fof(axN75_84_6,axiom,+ ( p(n7,n5,n6)+ => ~ p(n8,n4,n6) )).++fof(axN75_84_7,axiom,+ ( p(n7,n5,n7)+ => ~ p(n8,n4,n7) )).++fof(axN75_84_8,axiom,+ ( p(n7,n5,n8)+ => ~ p(n8,n4,n8) )).++fof(axN75_84_9,axiom,+ ( p(n7,n5,n9)+ => ~ p(n8,n4,n9) )).++fof(axN75_86_1,axiom,+ ( p(n7,n5,n1)+ => ~ p(n8,n6,n1) )).++fof(axN75_86_2,axiom,+ ( p(n7,n5,n2)+ => ~ p(n8,n6,n2) )).++fof(axN75_86_3,axiom,+ ( p(n7,n5,n3)+ => ~ p(n8,n6,n3) )).++fof(axN75_86_4,axiom,+ ( p(n7,n5,n4)+ => ~ p(n8,n6,n4) )).++fof(axN75_86_5,axiom,+ ( p(n7,n5,n5)+ => ~ p(n8,n6,n5) )).++fof(axN75_86_6,axiom,+ ( p(n7,n5,n6)+ => ~ p(n8,n6,n6) )).++fof(axN75_86_7,axiom,+ ( p(n7,n5,n7)+ => ~ p(n8,n6,n7) )).++fof(axN75_86_8,axiom,+ ( p(n7,n5,n8)+ => ~ p(n8,n6,n8) )).++fof(axN75_86_9,axiom,+ ( p(n7,n5,n9)+ => ~ p(n8,n6,n9) )).++fof(axN75_94_1,axiom,+ ( p(n7,n5,n1)+ => ~ p(n9,n4,n1) )).++fof(axN75_94_2,axiom,+ ( p(n7,n5,n2)+ => ~ p(n9,n4,n2) )).++fof(axN75_94_3,axiom,+ ( p(n7,n5,n3)+ => ~ p(n9,n4,n3) )).++fof(axN75_94_4,axiom,+ ( p(n7,n5,n4)+ => ~ p(n9,n4,n4) )).++fof(axN75_94_5,axiom,+ ( p(n7,n5,n5)+ => ~ p(n9,n4,n5) )).++fof(axN75_94_6,axiom,+ ( p(n7,n5,n6)+ => ~ p(n9,n4,n6) )).++fof(axN75_94_7,axiom,+ ( p(n7,n5,n7)+ => ~ p(n9,n4,n7) )).++fof(axN75_94_8,axiom,+ ( p(n7,n5,n8)+ => ~ p(n9,n4,n8) )).++fof(axN75_94_9,axiom,+ ( p(n7,n5,n9)+ => ~ p(n9,n4,n9) )).++fof(axN75_96_1,axiom,+ ( p(n7,n5,n1)+ => ~ p(n9,n6,n1) )).++fof(axN75_96_2,axiom,+ ( p(n7,n5,n2)+ => ~ p(n9,n6,n2) )).++fof(axN75_96_3,axiom,+ ( p(n7,n5,n3)+ => ~ p(n9,n6,n3) )).++fof(axN75_96_4,axiom,+ ( p(n7,n5,n4)+ => ~ p(n9,n6,n4) )).++fof(axN75_96_5,axiom,+ ( p(n7,n5,n5)+ => ~ p(n9,n6,n5) )).++fof(axN75_96_6,axiom,+ ( p(n7,n5,n6)+ => ~ p(n9,n6,n6) )).++fof(axN75_96_7,axiom,+ ( p(n7,n5,n7)+ => ~ p(n9,n6,n7) )).++fof(axN75_96_8,axiom,+ ( p(n7,n5,n8)+ => ~ p(n9,n6,n8) )).++fof(axN75_96_9,axiom,+ ( p(n7,n5,n9)+ => ~ p(n9,n6,n9) )).++fof(axN76_84_1,axiom,+ ( p(n7,n6,n1)+ => ~ p(n8,n4,n1) )).++fof(axN76_84_2,axiom,+ ( p(n7,n6,n2)+ => ~ p(n8,n4,n2) )).++fof(axN76_84_3,axiom,+ ( p(n7,n6,n3)+ => ~ p(n8,n4,n3) )).++fof(axN76_84_4,axiom,+ ( p(n7,n6,n4)+ => ~ p(n8,n4,n4) )).++fof(axN76_84_5,axiom,+ ( p(n7,n6,n5)+ => ~ p(n8,n4,n5) )).++fof(axN76_84_6,axiom,+ ( p(n7,n6,n6)+ => ~ p(n8,n4,n6) )).++fof(axN76_84_7,axiom,+ ( p(n7,n6,n7)+ => ~ p(n8,n4,n7) )).++fof(axN76_84_8,axiom,+ ( p(n7,n6,n8)+ => ~ p(n8,n4,n8) )).++fof(axN76_84_9,axiom,+ ( p(n7,n6,n9)+ => ~ p(n8,n4,n9) )).++fof(axN76_85_1,axiom,+ ( p(n7,n6,n1)+ => ~ p(n8,n5,n1) )).++fof(axN76_85_2,axiom,+ ( p(n7,n6,n2)+ => ~ p(n8,n5,n2) )).++fof(axN76_85_3,axiom,+ ( p(n7,n6,n3)+ => ~ p(n8,n5,n3) )).++fof(axN76_85_4,axiom,+ ( p(n7,n6,n4)+ => ~ p(n8,n5,n4) )).++fof(axN76_85_5,axiom,+ ( p(n7,n6,n5)+ => ~ p(n8,n5,n5) )).++fof(axN76_85_6,axiom,+ ( p(n7,n6,n6)+ => ~ p(n8,n5,n6) )).++fof(axN76_85_7,axiom,+ ( p(n7,n6,n7)+ => ~ p(n8,n5,n7) )).++fof(axN76_85_8,axiom,+ ( p(n7,n6,n8)+ => ~ p(n8,n5,n8) )).++fof(axN76_85_9,axiom,+ ( p(n7,n6,n9)+ => ~ p(n8,n5,n9) )).++fof(axN76_94_1,axiom,+ ( p(n7,n6,n1)+ => ~ p(n9,n4,n1) )).++fof(axN76_94_2,axiom,+ ( p(n7,n6,n2)+ => ~ p(n9,n4,n2) )).++fof(axN76_94_3,axiom,+ ( p(n7,n6,n3)+ => ~ p(n9,n4,n3) )).++fof(axN76_94_4,axiom,+ ( p(n7,n6,n4)+ => ~ p(n9,n4,n4) )).++fof(axN76_94_5,axiom,+ ( p(n7,n6,n5)+ => ~ p(n9,n4,n5) )).++fof(axN76_94_6,axiom,+ ( p(n7,n6,n6)+ => ~ p(n9,n4,n6) )).++fof(axN76_94_7,axiom,+ ( p(n7,n6,n7)+ => ~ p(n9,n4,n7) )).++fof(axN76_94_8,axiom,+ ( p(n7,n6,n8)+ => ~ p(n9,n4,n8) )).++fof(axN76_94_9,axiom,+ ( p(n7,n6,n9)+ => ~ p(n9,n4,n9) )).++fof(axN76_95_1,axiom,+ ( p(n7,n6,n1)+ => ~ p(n9,n5,n1) )).++fof(axN76_95_2,axiom,+ ( p(n7,n6,n2)+ => ~ p(n9,n5,n2) )).++fof(axN76_95_3,axiom,+ ( p(n7,n6,n3)+ => ~ p(n9,n5,n3) )).++fof(axN76_95_4,axiom,+ ( p(n7,n6,n4)+ => ~ p(n9,n5,n4) )).++fof(axN76_95_5,axiom,+ ( p(n7,n6,n5)+ => ~ p(n9,n5,n5) )).++fof(axN76_95_6,axiom,+ ( p(n7,n6,n6)+ => ~ p(n9,n5,n6) )).++fof(axN76_95_7,axiom,+ ( p(n7,n6,n7)+ => ~ p(n9,n5,n7) )).++fof(axN76_95_8,axiom,+ ( p(n7,n6,n8)+ => ~ p(n9,n5,n8) )).++fof(axN76_95_9,axiom,+ ( p(n7,n6,n9)+ => ~ p(n9,n5,n9) )).++fof(axN84_95_1,axiom,+ ( p(n8,n4,n1)+ => ~ p(n9,n5,n1) )).++fof(axN84_95_2,axiom,+ ( p(n8,n4,n2)+ => ~ p(n9,n5,n2) )).++fof(axN84_95_3,axiom,+ ( p(n8,n4,n3)+ => ~ p(n9,n5,n3) )).++fof(axN84_95_4,axiom,+ ( p(n8,n4,n4)+ => ~ p(n9,n5,n4) )).++fof(axN84_95_5,axiom,+ ( p(n8,n4,n5)+ => ~ p(n9,n5,n5) )).++fof(axN84_95_6,axiom,+ ( p(n8,n4,n6)+ => ~ p(n9,n5,n6) )).++fof(axN84_95_7,axiom,+ ( p(n8,n4,n7)+ => ~ p(n9,n5,n7) )).++fof(axN84_95_8,axiom,+ ( p(n8,n4,n8)+ => ~ p(n9,n5,n8) )).++fof(axN84_95_9,axiom,+ ( p(n8,n4,n9)+ => ~ p(n9,n5,n9) )).++fof(axN84_96_1,axiom,+ ( p(n8,n4,n1)+ => ~ p(n9,n6,n1) )).++fof(axN84_96_2,axiom,+ ( p(n8,n4,n2)+ => ~ p(n9,n6,n2) )).++fof(axN84_96_3,axiom,+ ( p(n8,n4,n3)+ => ~ p(n9,n6,n3) )).++fof(axN84_96_4,axiom,+ ( p(n8,n4,n4)+ => ~ p(n9,n6,n4) )).++fof(axN84_96_5,axiom,+ ( p(n8,n4,n5)+ => ~ p(n9,n6,n5) )).++fof(axN84_96_6,axiom,+ ( p(n8,n4,n6)+ => ~ p(n9,n6,n6) )).++fof(axN84_96_7,axiom,+ ( p(n8,n4,n7)+ => ~ p(n9,n6,n7) )).++fof(axN84_96_8,axiom,+ ( p(n8,n4,n8)+ => ~ p(n9,n6,n8) )).++fof(axN84_96_9,axiom,+ ( p(n8,n4,n9)+ => ~ p(n9,n6,n9) )).++fof(axN85_94_1,axiom,+ ( p(n8,n5,n1)+ => ~ p(n9,n4,n1) )).++fof(axN85_94_2,axiom,+ ( p(n8,n5,n2)+ => ~ p(n9,n4,n2) )).++fof(axN85_94_3,axiom,+ ( p(n8,n5,n3)+ => ~ p(n9,n4,n3) )).++fof(axN85_94_4,axiom,+ ( p(n8,n5,n4)+ => ~ p(n9,n4,n4) )).++fof(axN85_94_5,axiom,+ ( p(n8,n5,n5)+ => ~ p(n9,n4,n5) )).++fof(axN85_94_6,axiom,+ ( p(n8,n5,n6)+ => ~ p(n9,n4,n6) )).++fof(axN85_94_7,axiom,+ ( p(n8,n5,n7)+ => ~ p(n9,n4,n7) )).++fof(axN85_94_8,axiom,+ ( p(n8,n5,n8)+ => ~ p(n9,n4,n8) )).++fof(axN85_94_9,axiom,+ ( p(n8,n5,n9)+ => ~ p(n9,n4,n9) )).++fof(axN85_96_1,axiom,+ ( p(n8,n5,n1)+ => ~ p(n9,n6,n1) )).++fof(axN85_96_2,axiom,+ ( p(n8,n5,n2)+ => ~ p(n9,n6,n2) )).++fof(axN85_96_3,axiom,+ ( p(n8,n5,n3)+ => ~ p(n9,n6,n3) )).++fof(axN85_96_4,axiom,+ ( p(n8,n5,n4)+ => ~ p(n9,n6,n4) )).++fof(axN85_96_5,axiom,+ ( p(n8,n5,n5)+ => ~ p(n9,n6,n5) )).++fof(axN85_96_6,axiom,+ ( p(n8,n5,n6)+ => ~ p(n9,n6,n6) )).++fof(axN85_96_7,axiom,+ ( p(n8,n5,n7)+ => ~ p(n9,n6,n7) )).++fof(axN85_96_8,axiom,+ ( p(n8,n5,n8)+ => ~ p(n9,n6,n8) )).++fof(axN85_96_9,axiom,+ ( p(n8,n5,n9)+ => ~ p(n9,n6,n9) )).++fof(axN86_94_1,axiom,+ ( p(n8,n6,n1)+ => ~ p(n9,n4,n1) )).++fof(axN86_94_2,axiom,+ ( p(n8,n6,n2)+ => ~ p(n9,n4,n2) )).++fof(axN86_94_3,axiom,+ ( p(n8,n6,n3)+ => ~ p(n9,n4,n3) )).++fof(axN86_94_4,axiom,+ ( p(n8,n6,n4)+ => ~ p(n9,n4,n4) )).++fof(axN86_94_5,axiom,+ ( p(n8,n6,n5)+ => ~ p(n9,n4,n5) )).++fof(axN86_94_6,axiom,+ ( p(n8,n6,n6)+ => ~ p(n9,n4,n6) )).++fof(axN86_94_7,axiom,+ ( p(n8,n6,n7)+ => ~ p(n9,n4,n7) )).++fof(axN86_94_8,axiom,+ ( p(n8,n6,n8)+ => ~ p(n9,n4,n8) )).++fof(axN86_94_9,axiom,+ ( p(n8,n6,n9)+ => ~ p(n9,n4,n9) )).++fof(axN86_95_1,axiom,+ ( p(n8,n6,n1)+ => ~ p(n9,n5,n1) )).++fof(axN86_95_2,axiom,+ ( p(n8,n6,n2)+ => ~ p(n9,n5,n2) )).++fof(axN86_95_3,axiom,+ ( p(n8,n6,n3)+ => ~ p(n9,n5,n3) )).++fof(axN86_95_4,axiom,+ ( p(n8,n6,n4)+ => ~ p(n9,n5,n4) )).++fof(axN86_95_5,axiom,+ ( p(n8,n6,n5)+ => ~ p(n9,n5,n5) )).++fof(axN86_95_6,axiom,+ ( p(n8,n6,n6)+ => ~ p(n9,n5,n6) )).++fof(axN86_95_7,axiom,+ ( p(n8,n6,n7)+ => ~ p(n9,n5,n7) )).++fof(axN86_95_8,axiom,+ ( p(n8,n6,n8)+ => ~ p(n9,n5,n8) )).++fof(axN86_95_9,axiom,+ ( p(n8,n6,n9)+ => ~ p(n9,n5,n9) )).++fof(axN77_88_1,axiom,+ ( p(n7,n7,n1)+ => ~ p(n8,n8,n1) )).++fof(axN77_88_2,axiom,+ ( p(n7,n7,n2)+ => ~ p(n8,n8,n2) )).++fof(axN77_88_3,axiom,+ ( p(n7,n7,n3)+ => ~ p(n8,n8,n3) )).++fof(axN77_88_4,axiom,+ ( p(n7,n7,n4)+ => ~ p(n8,n8,n4) )).++fof(axN77_88_5,axiom,+ ( p(n7,n7,n5)+ => ~ p(n8,n8,n5) )).++fof(axN77_88_6,axiom,+ ( p(n7,n7,n6)+ => ~ p(n8,n8,n6) )).++fof(axN77_88_7,axiom,+ ( p(n7,n7,n7)+ => ~ p(n8,n8,n7) )).++fof(axN77_88_8,axiom,+ ( p(n7,n7,n8)+ => ~ p(n8,n8,n8) )).++fof(axN77_88_9,axiom,+ ( p(n7,n7,n9)+ => ~ p(n8,n8,n9) )).++fof(axN77_89_1,axiom,+ ( p(n7,n7,n1)+ => ~ p(n8,n9,n1) )).++fof(axN77_89_2,axiom,+ ( p(n7,n7,n2)+ => ~ p(n8,n9,n2) )).++fof(axN77_89_3,axiom,+ ( p(n7,n7,n3)+ => ~ p(n8,n9,n3) )).++fof(axN77_89_4,axiom,+ ( p(n7,n7,n4)+ => ~ p(n8,n9,n4) )).++fof(axN77_89_5,axiom,+ ( p(n7,n7,n5)+ => ~ p(n8,n9,n5) )).++fof(axN77_89_6,axiom,+ ( p(n7,n7,n6)+ => ~ p(n8,n9,n6) )).++fof(axN77_89_7,axiom,+ ( p(n7,n7,n7)+ => ~ p(n8,n9,n7) )).++fof(axN77_89_8,axiom,+ ( p(n7,n7,n8)+ => ~ p(n8,n9,n8) )).++fof(axN77_89_9,axiom,+ ( p(n7,n7,n9)+ => ~ p(n8,n9,n9) )).++fof(axN77_98_1,axiom,+ ( p(n7,n7,n1)+ => ~ p(n9,n8,n1) )).++fof(axN77_98_2,axiom,+ ( p(n7,n7,n2)+ => ~ p(n9,n8,n2) )).++fof(axN77_98_3,axiom,+ ( p(n7,n7,n3)+ => ~ p(n9,n8,n3) )).++fof(axN77_98_4,axiom,+ ( p(n7,n7,n4)+ => ~ p(n9,n8,n4) )).++fof(axN77_98_5,axiom,+ ( p(n7,n7,n5)+ => ~ p(n9,n8,n5) )).++fof(axN77_98_6,axiom,+ ( p(n7,n7,n6)+ => ~ p(n9,n8,n6) )).++fof(axN77_98_7,axiom,+ ( p(n7,n7,n7)+ => ~ p(n9,n8,n7) )).++fof(axN77_98_8,axiom,+ ( p(n7,n7,n8)+ => ~ p(n9,n8,n8) )).++fof(axN77_98_9,axiom,+ ( p(n7,n7,n9)+ => ~ p(n9,n8,n9) )).++fof(axN77_99_1,axiom,+ ( p(n7,n7,n1)+ => ~ p(n9,n9,n1) )).++fof(axN77_99_2,axiom,+ ( p(n7,n7,n2)+ => ~ p(n9,n9,n2) )).++fof(axN77_99_3,axiom,+ ( p(n7,n7,n3)+ => ~ p(n9,n9,n3) )).++fof(axN77_99_4,axiom,+ ( p(n7,n7,n4)+ => ~ p(n9,n9,n4) )).++fof(axN77_99_5,axiom,+ ( p(n7,n7,n5)+ => ~ p(n9,n9,n5) )).++fof(axN77_99_6,axiom,+ ( p(n7,n7,n6)+ => ~ p(n9,n9,n6) )).++fof(axN77_99_7,axiom,+ ( p(n7,n7,n7)+ => ~ p(n9,n9,n7) )).++fof(axN77_99_8,axiom,+ ( p(n7,n7,n8)+ => ~ p(n9,n9,n8) )).++fof(axN77_99_9,axiom,+ ( p(n7,n7,n9)+ => ~ p(n9,n9,n9) )).++fof(axN78_87_1,axiom,+ ( p(n7,n8,n1)+ => ~ p(n8,n7,n1) )).++fof(axN78_87_2,axiom,+ ( p(n7,n8,n2)+ => ~ p(n8,n7,n2) )).++fof(axN78_87_3,axiom,+ ( p(n7,n8,n3)+ => ~ p(n8,n7,n3) )).++fof(axN78_87_4,axiom,+ ( p(n7,n8,n4)+ => ~ p(n8,n7,n4) )).++fof(axN78_87_5,axiom,+ ( p(n7,n8,n5)+ => ~ p(n8,n7,n5) )).++fof(axN78_87_6,axiom,+ ( p(n7,n8,n6)+ => ~ p(n8,n7,n6) )).++fof(axN78_87_7,axiom,+ ( p(n7,n8,n7)+ => ~ p(n8,n7,n7) )).++fof(axN78_87_8,axiom,+ ( p(n7,n8,n8)+ => ~ p(n8,n7,n8) )).++fof(axN78_87_9,axiom,+ ( p(n7,n8,n9)+ => ~ p(n8,n7,n9) )).++fof(axN78_89_1,axiom,+ ( p(n7,n8,n1)+ => ~ p(n8,n9,n1) )).++fof(axN78_89_2,axiom,+ ( p(n7,n8,n2)+ => ~ p(n8,n9,n2) )).++fof(axN78_89_3,axiom,+ ( p(n7,n8,n3)+ => ~ p(n8,n9,n3) )).++fof(axN78_89_4,axiom,+ ( p(n7,n8,n4)+ => ~ p(n8,n9,n4) )).++fof(axN78_89_5,axiom,+ ( p(n7,n8,n5)+ => ~ p(n8,n9,n5) )).++fof(axN78_89_6,axiom,+ ( p(n7,n8,n6)+ => ~ p(n8,n9,n6) )).++fof(axN78_89_7,axiom,+ ( p(n7,n8,n7)+ => ~ p(n8,n9,n7) )).++fof(axN78_89_8,axiom,+ ( p(n7,n8,n8)+ => ~ p(n8,n9,n8) )).++fof(axN78_89_9,axiom,+ ( p(n7,n8,n9)+ => ~ p(n8,n9,n9) )).++fof(axN78_97_1,axiom,+ ( p(n7,n8,n1)+ => ~ p(n9,n7,n1) )).++fof(axN78_97_2,axiom,+ ( p(n7,n8,n2)+ => ~ p(n9,n7,n2) )).++fof(axN78_97_3,axiom,+ ( p(n7,n8,n3)+ => ~ p(n9,n7,n3) )).++fof(axN78_97_4,axiom,+ ( p(n7,n8,n4)+ => ~ p(n9,n7,n4) )).++fof(axN78_97_5,axiom,+ ( p(n7,n8,n5)+ => ~ p(n9,n7,n5) )).++fof(axN78_97_6,axiom,+ ( p(n7,n8,n6)+ => ~ p(n9,n7,n6) )).++fof(axN78_97_7,axiom,+ ( p(n7,n8,n7)+ => ~ p(n9,n7,n7) )).++fof(axN78_97_8,axiom,+ ( p(n7,n8,n8)+ => ~ p(n9,n7,n8) )).++fof(axN78_97_9,axiom,+ ( p(n7,n8,n9)+ => ~ p(n9,n7,n9) )).++fof(axN78_99_1,axiom,+ ( p(n7,n8,n1)+ => ~ p(n9,n9,n1) )).++fof(axN78_99_2,axiom,+ ( p(n7,n8,n2)+ => ~ p(n9,n9,n2) )).++fof(axN78_99_3,axiom,+ ( p(n7,n8,n3)+ => ~ p(n9,n9,n3) )).++fof(axN78_99_4,axiom,+ ( p(n7,n8,n4)+ => ~ p(n9,n9,n4) )).++fof(axN78_99_5,axiom,+ ( p(n7,n8,n5)+ => ~ p(n9,n9,n5) )).++fof(axN78_99_6,axiom,+ ( p(n7,n8,n6)+ => ~ p(n9,n9,n6) )).++fof(axN78_99_7,axiom,+ ( p(n7,n8,n7)+ => ~ p(n9,n9,n7) )).++fof(axN78_99_8,axiom,+ ( p(n7,n8,n8)+ => ~ p(n9,n9,n8) )).++fof(axN78_99_9,axiom,+ ( p(n7,n8,n9)+ => ~ p(n9,n9,n9) )).++fof(axN79_87_1,axiom,+ ( p(n7,n9,n1)+ => ~ p(n8,n7,n1) )).++fof(axN79_87_2,axiom,+ ( p(n7,n9,n2)+ => ~ p(n8,n7,n2) )).++fof(axN79_87_3,axiom,+ ( p(n7,n9,n3)+ => ~ p(n8,n7,n3) )).++fof(axN79_87_4,axiom,+ ( p(n7,n9,n4)+ => ~ p(n8,n7,n4) )).++fof(axN79_87_5,axiom,+ ( p(n7,n9,n5)+ => ~ p(n8,n7,n5) )).++fof(axN79_87_6,axiom,+ ( p(n7,n9,n6)+ => ~ p(n8,n7,n6) )).++fof(axN79_87_7,axiom,+ ( p(n7,n9,n7)+ => ~ p(n8,n7,n7) )).++fof(axN79_87_8,axiom,+ ( p(n7,n9,n8)+ => ~ p(n8,n7,n8) )).++fof(axN79_87_9,axiom,+ ( p(n7,n9,n9)+ => ~ p(n8,n7,n9) )).++fof(axN79_88_1,axiom,+ ( p(n7,n9,n1)+ => ~ p(n8,n8,n1) )).++fof(axN79_88_2,axiom,+ ( p(n7,n9,n2)+ => ~ p(n8,n8,n2) )).++fof(axN79_88_3,axiom,+ ( p(n7,n9,n3)+ => ~ p(n8,n8,n3) )).++fof(axN79_88_4,axiom,+ ( p(n7,n9,n4)+ => ~ p(n8,n8,n4) )).++fof(axN79_88_5,axiom,+ ( p(n7,n9,n5)+ => ~ p(n8,n8,n5) )).++fof(axN79_88_6,axiom,+ ( p(n7,n9,n6)+ => ~ p(n8,n8,n6) )).++fof(axN79_88_7,axiom,+ ( p(n7,n9,n7)+ => ~ p(n8,n8,n7) )).++fof(axN79_88_8,axiom,+ ( p(n7,n9,n8)+ => ~ p(n8,n8,n8) )).++fof(axN79_88_9,axiom,+ ( p(n7,n9,n9)+ => ~ p(n8,n8,n9) )).++fof(axN79_97_1,axiom,+ ( p(n7,n9,n1)+ => ~ p(n9,n7,n1) )).++fof(axN79_97_2,axiom,+ ( p(n7,n9,n2)+ => ~ p(n9,n7,n2) )).++fof(axN79_97_3,axiom,+ ( p(n7,n9,n3)+ => ~ p(n9,n7,n3) )).++fof(axN79_97_4,axiom,+ ( p(n7,n9,n4)+ => ~ p(n9,n7,n4) )).++fof(axN79_97_5,axiom,+ ( p(n7,n9,n5)+ => ~ p(n9,n7,n5) )).++fof(axN79_97_6,axiom,+ ( p(n7,n9,n6)+ => ~ p(n9,n7,n6) )).++fof(axN79_97_7,axiom,+ ( p(n7,n9,n7)+ => ~ p(n9,n7,n7) )).++fof(axN79_97_8,axiom,+ ( p(n7,n9,n8)+ => ~ p(n9,n7,n8) )).++fof(axN79_97_9,axiom,+ ( p(n7,n9,n9)+ => ~ p(n9,n7,n9) )).++fof(axN79_98_1,axiom,+ ( p(n7,n9,n1)+ => ~ p(n9,n8,n1) )).++fof(axN79_98_2,axiom,+ ( p(n7,n9,n2)+ => ~ p(n9,n8,n2) )).++fof(axN79_98_3,axiom,+ ( p(n7,n9,n3)+ => ~ p(n9,n8,n3) )).++fof(axN79_98_4,axiom,+ ( p(n7,n9,n4)+ => ~ p(n9,n8,n4) )).++fof(axN79_98_5,axiom,+ ( p(n7,n9,n5)+ => ~ p(n9,n8,n5) )).++fof(axN79_98_6,axiom,+ ( p(n7,n9,n6)+ => ~ p(n9,n8,n6) )).++fof(axN79_98_7,axiom,+ ( p(n7,n9,n7)+ => ~ p(n9,n8,n7) )).++fof(axN79_98_8,axiom,+ ( p(n7,n9,n8)+ => ~ p(n9,n8,n8) )).++fof(axN79_98_9,axiom,+ ( p(n7,n9,n9)+ => ~ p(n9,n8,n9) )).++fof(axN87_98_1,axiom,+ ( p(n8,n7,n1)+ => ~ p(n9,n8,n1) )).++fof(axN87_98_2,axiom,+ ( p(n8,n7,n2)+ => ~ p(n9,n8,n2) )).++fof(axN87_98_3,axiom,+ ( p(n8,n7,n3)+ => ~ p(n9,n8,n3) )).++fof(axN87_98_4,axiom,+ ( p(n8,n7,n4)+ => ~ p(n9,n8,n4) )).++fof(axN87_98_5,axiom,+ ( p(n8,n7,n5)+ => ~ p(n9,n8,n5) )).++fof(axN87_98_6,axiom,+ ( p(n8,n7,n6)+ => ~ p(n9,n8,n6) )).++fof(axN87_98_7,axiom,+ ( p(n8,n7,n7)+ => ~ p(n9,n8,n7) )).++fof(axN87_98_8,axiom,+ ( p(n8,n7,n8)+ => ~ p(n9,n8,n8) )).++fof(axN87_98_9,axiom,+ ( p(n8,n7,n9)+ => ~ p(n9,n8,n9) )).++fof(axN87_99_1,axiom,+ ( p(n8,n7,n1)+ => ~ p(n9,n9,n1) )).++fof(axN87_99_2,axiom,+ ( p(n8,n7,n2)+ => ~ p(n9,n9,n2) )).++fof(axN87_99_3,axiom,+ ( p(n8,n7,n3)+ => ~ p(n9,n9,n3) )).++fof(axN87_99_4,axiom,+ ( p(n8,n7,n4)+ => ~ p(n9,n9,n4) )).++fof(axN87_99_5,axiom,+ ( p(n8,n7,n5)+ => ~ p(n9,n9,n5) )).++fof(axN87_99_6,axiom,+ ( p(n8,n7,n6)+ => ~ p(n9,n9,n6) )).++fof(axN87_99_7,axiom,+ ( p(n8,n7,n7)+ => ~ p(n9,n9,n7) )).++fof(axN87_99_8,axiom,+ ( p(n8,n7,n8)+ => ~ p(n9,n9,n8) )).++fof(axN87_99_9,axiom,+ ( p(n8,n7,n9)+ => ~ p(n9,n9,n9) )).++fof(axN88_97_1,axiom,+ ( p(n8,n8,n1)+ => ~ p(n9,n7,n1) )).++fof(axN88_97_2,axiom,+ ( p(n8,n8,n2)+ => ~ p(n9,n7,n2) )).++fof(axN88_97_3,axiom,+ ( p(n8,n8,n3)+ => ~ p(n9,n7,n3) )).++fof(axN88_97_4,axiom,+ ( p(n8,n8,n4)+ => ~ p(n9,n7,n4) )).++fof(axN88_97_5,axiom,+ ( p(n8,n8,n5)+ => ~ p(n9,n7,n5) )).++fof(axN88_97_6,axiom,+ ( p(n8,n8,n6)+ => ~ p(n9,n7,n6) )).++fof(axN88_97_7,axiom,+ ( p(n8,n8,n7)+ => ~ p(n9,n7,n7) )).++fof(axN88_97_8,axiom,+ ( p(n8,n8,n8)+ => ~ p(n9,n7,n8) )).++fof(axN88_97_9,axiom,+ ( p(n8,n8,n9)+ => ~ p(n9,n7,n9) )).++fof(axN88_99_1,axiom,+ ( p(n8,n8,n1)+ => ~ p(n9,n9,n1) )).++fof(axN88_99_2,axiom,+ ( p(n8,n8,n2)+ => ~ p(n9,n9,n2) )).++fof(axN88_99_3,axiom,+ ( p(n8,n8,n3)+ => ~ p(n9,n9,n3) )).++fof(axN88_99_4,axiom,+ ( p(n8,n8,n4)+ => ~ p(n9,n9,n4) )).++fof(axN88_99_5,axiom,+ ( p(n8,n8,n5)+ => ~ p(n9,n9,n5) )).++fof(axN88_99_6,axiom,+ ( p(n8,n8,n6)+ => ~ p(n9,n9,n6) )).++fof(axN88_99_7,axiom,+ ( p(n8,n8,n7)+ => ~ p(n9,n9,n7) )).++fof(axN88_99_8,axiom,+ ( p(n8,n8,n8)+ => ~ p(n9,n9,n8) )).++fof(axN88_99_9,axiom,+ ( p(n8,n8,n9)+ => ~ p(n9,n9,n9) )).++fof(axN89_97_1,axiom,+ ( p(n8,n9,n1)+ => ~ p(n9,n7,n1) )).++fof(axN89_97_2,axiom,+ ( p(n8,n9,n2)+ => ~ p(n9,n7,n2) )).++fof(axN89_97_3,axiom,+ ( p(n8,n9,n3)+ => ~ p(n9,n7,n3) )).++fof(axN89_97_4,axiom,+ ( p(n8,n9,n4)+ => ~ p(n9,n7,n4) )).++fof(axN89_97_5,axiom,+ ( p(n8,n9,n5)+ => ~ p(n9,n7,n5) )).++fof(axN89_97_6,axiom,+ ( p(n8,n9,n6)+ => ~ p(n9,n7,n6) )).++fof(axN89_97_7,axiom,+ ( p(n8,n9,n7)+ => ~ p(n9,n7,n7) )).++fof(axN89_97_8,axiom,+ ( p(n8,n9,n8)+ => ~ p(n9,n7,n8) )).++fof(axN89_97_9,axiom,+ ( p(n8,n9,n9)+ => ~ p(n9,n7,n9) )).++fof(axN89_98_1,axiom,+ ( p(n8,n9,n1)+ => ~ p(n9,n8,n1) )).++fof(axN89_98_2,axiom,+ ( p(n8,n9,n2)+ => ~ p(n9,n8,n2) )).++fof(axN89_98_3,axiom,+ ( p(n8,n9,n3)+ => ~ p(n9,n8,n3) )).++fof(axN89_98_4,axiom,+ ( p(n8,n9,n4)+ => ~ p(n9,n8,n4) )).++fof(axN89_98_5,axiom,+ ( p(n8,n9,n5)+ => ~ p(n9,n8,n5) )).++fof(axN89_98_6,axiom,+ ( p(n8,n9,n6)+ => ~ p(n9,n8,n6) )).++fof(axN89_98_7,axiom,+ ( p(n8,n9,n7)+ => ~ p(n9,n8,n7) )).++fof(axN89_98_8,axiom,+ ( p(n8,n9,n8)+ => ~ p(n9,n8,n8) )).++fof(axN89_98_9,axiom,+ ( p(n8,n9,n9)+ => ~ p(n9,n8,n9) )).++% Positive constraints++% Row Constraints++fof(ax1_1,axiom,+ ( p(n1,n1,n1)+ | p(n1,n2,n1)+ | p(n1,n3,n1)+ | p(n1,n4,n1)+ | p(n1,n5,n1)+ | p(n1,n6,n1)+ | p(n1,n7,n1)+ | p(n1,n8,n1)+ | p(n1,n9,n1) )).++fof(ax1_2,axiom,+ ( p(n1,n1,n2)+ | p(n1,n2,n2)+ | p(n1,n3,n2)+ | p(n1,n4,n2)+ | p(n1,n5,n2)+ | p(n1,n6,n2)+ | p(n1,n7,n2)+ | p(n1,n8,n2)+ | p(n1,n9,n2) )).++fof(ax1_3,axiom,+ ( p(n1,n1,n3)+ | p(n1,n2,n3)+ | p(n1,n3,n3)+ | p(n1,n4,n3)+ | p(n1,n5,n3)+ | p(n1,n6,n3)+ | p(n1,n7,n3)+ | p(n1,n8,n3)+ | p(n1,n9,n3) )).++fof(ax1_4,axiom,+ ( p(n1,n1,n4)+ | p(n1,n2,n4)+ | p(n1,n3,n4)+ | p(n1,n4,n4)+ | p(n1,n5,n4)+ | p(n1,n6,n4)+ | p(n1,n7,n4)+ | p(n1,n8,n4)+ | p(n1,n9,n4) )).++fof(ax1_5,axiom,+ ( p(n1,n1,n5)+ | p(n1,n2,n5)+ | p(n1,n3,n5)+ | p(n1,n4,n5)+ | p(n1,n5,n5)+ | p(n1,n6,n5)+ | p(n1,n7,n5)+ | p(n1,n8,n5)+ | p(n1,n9,n5) )).++fof(ax1_6,axiom,+ ( p(n1,n1,n6)+ | p(n1,n2,n6)+ | p(n1,n3,n6)+ | p(n1,n4,n6)+ | p(n1,n5,n6)+ | p(n1,n6,n6)+ | p(n1,n7,n6)+ | p(n1,n8,n6)+ | p(n1,n9,n6) )).++fof(ax1_7,axiom,+ ( p(n1,n1,n7)+ | p(n1,n2,n7)+ | p(n1,n3,n7)+ | p(n1,n4,n7)+ | p(n1,n5,n7)+ | p(n1,n6,n7)+ | p(n1,n7,n7)+ | p(n1,n8,n7)+ | p(n1,n9,n7) )).++fof(ax1_8,axiom,+ ( p(n1,n1,n8)+ | p(n1,n2,n8)+ | p(n1,n3,n8)+ | p(n1,n4,n8)+ | p(n1,n5,n8)+ | p(n1,n6,n8)+ | p(n1,n7,n8)+ | p(n1,n8,n8)+ | p(n1,n9,n8) )).++fof(ax1_9,axiom,+ ( p(n1,n1,n9)+ | p(n1,n2,n9)+ | p(n1,n3,n9)+ | p(n1,n4,n9)+ | p(n1,n5,n9)+ | p(n1,n6,n9)+ | p(n1,n7,n9)+ | p(n1,n8,n9)+ | p(n1,n9,n9) )).++fof(ax2_1,axiom,+ ( p(n2,n1,n1)+ | p(n2,n2,n1)+ | p(n2,n3,n1)+ | p(n2,n4,n1)+ | p(n2,n5,n1)+ | p(n2,n6,n1)+ | p(n2,n7,n1)+ | p(n2,n8,n1)+ | p(n2,n9,n1) )).++fof(ax2_2,axiom,+ ( p(n2,n1,n2)+ | p(n2,n2,n2)+ | p(n2,n3,n2)+ | p(n2,n4,n2)+ | p(n2,n5,n2)+ | p(n2,n6,n2)+ | p(n2,n7,n2)+ | p(n2,n8,n2)+ | p(n2,n9,n2) )).++fof(ax2_3,axiom,+ ( p(n2,n1,n3)+ | p(n2,n2,n3)+ | p(n2,n3,n3)+ | p(n2,n4,n3)+ | p(n2,n5,n3)+ | p(n2,n6,n3)+ | p(n2,n7,n3)+ | p(n2,n8,n3)+ | p(n2,n9,n3) )).++fof(ax2_4,axiom,+ ( p(n2,n1,n4)+ | p(n2,n2,n4)+ | p(n2,n3,n4)+ | p(n2,n4,n4)+ | p(n2,n5,n4)+ | p(n2,n6,n4)+ | p(n2,n7,n4)+ | p(n2,n8,n4)+ | p(n2,n9,n4) )).++fof(ax2_5,axiom,+ ( p(n2,n1,n5)+ | p(n2,n2,n5)+ | p(n2,n3,n5)+ | p(n2,n4,n5)+ | p(n2,n5,n5)+ | p(n2,n6,n5)+ | p(n2,n7,n5)+ | p(n2,n8,n5)+ | p(n2,n9,n5) )).++fof(ax2_6,axiom,+ ( p(n2,n1,n6)+ | p(n2,n2,n6)+ | p(n2,n3,n6)+ | p(n2,n4,n6)+ | p(n2,n5,n6)+ | p(n2,n6,n6)+ | p(n2,n7,n6)+ | p(n2,n8,n6)+ | p(n2,n9,n6) )).++fof(ax2_7,axiom,+ ( p(n2,n1,n7)+ | p(n2,n2,n7)+ | p(n2,n3,n7)+ | p(n2,n4,n7)+ | p(n2,n5,n7)+ | p(n2,n6,n7)+ | p(n2,n7,n7)+ | p(n2,n8,n7)+ | p(n2,n9,n7) )).++fof(ax2_8,axiom,+ ( p(n2,n1,n8)+ | p(n2,n2,n8)+ | p(n2,n3,n8)+ | p(n2,n4,n8)+ | p(n2,n5,n8)+ | p(n2,n6,n8)+ | p(n2,n7,n8)+ | p(n2,n8,n8)+ | p(n2,n9,n8) )).++fof(ax2_9,axiom,+ ( p(n2,n1,n9)+ | p(n2,n2,n9)+ | p(n2,n3,n9)+ | p(n2,n4,n9)+ | p(n2,n5,n9)+ | p(n2,n6,n9)+ | p(n2,n7,n9)+ | p(n2,n8,n9)+ | p(n2,n9,n9) )).++fof(ax3_1,axiom,+ ( p(n3,n1,n1)+ | p(n3,n2,n1)+ | p(n3,n3,n1)+ | p(n3,n4,n1)+ | p(n3,n5,n1)+ | p(n3,n6,n1)+ | p(n3,n7,n1)+ | p(n3,n8,n1)+ | p(n3,n9,n1) )).++fof(ax3_2,axiom,+ ( p(n3,n1,n2)+ | p(n3,n2,n2)+ | p(n3,n3,n2)+ | p(n3,n4,n2)+ | p(n3,n5,n2)+ | p(n3,n6,n2)+ | p(n3,n7,n2)+ | p(n3,n8,n2)+ | p(n3,n9,n2) )).++fof(ax3_3,axiom,+ ( p(n3,n1,n3)+ | p(n3,n2,n3)+ | p(n3,n3,n3)+ | p(n3,n4,n3)+ | p(n3,n5,n3)+ | p(n3,n6,n3)+ | p(n3,n7,n3)+ | p(n3,n8,n3)+ | p(n3,n9,n3) )).++fof(ax3_4,axiom,+ ( p(n3,n1,n4)+ | p(n3,n2,n4)+ | p(n3,n3,n4)+ | p(n3,n4,n4)+ | p(n3,n5,n4)+ | p(n3,n6,n4)+ | p(n3,n7,n4)+ | p(n3,n8,n4)+ | p(n3,n9,n4) )).++fof(ax3_5,axiom,+ ( p(n3,n1,n5)+ | p(n3,n2,n5)+ | p(n3,n3,n5)+ | p(n3,n4,n5)+ | p(n3,n5,n5)+ | p(n3,n6,n5)+ | p(n3,n7,n5)+ | p(n3,n8,n5)+ | p(n3,n9,n5) )).++fof(ax3_6,axiom,+ ( p(n3,n1,n6)+ | p(n3,n2,n6)+ | p(n3,n3,n6)+ | p(n3,n4,n6)+ | p(n3,n5,n6)+ | p(n3,n6,n6)+ | p(n3,n7,n6)+ | p(n3,n8,n6)+ | p(n3,n9,n6) )).++fof(ax3_7,axiom,+ ( p(n3,n1,n7)+ | p(n3,n2,n7)+ | p(n3,n3,n7)+ | p(n3,n4,n7)+ | p(n3,n5,n7)+ | p(n3,n6,n7)+ | p(n3,n7,n7)+ | p(n3,n8,n7)+ | p(n3,n9,n7) )).++fof(ax3_8,axiom,+ ( p(n3,n1,n8)+ | p(n3,n2,n8)+ | p(n3,n3,n8)+ | p(n3,n4,n8)+ | p(n3,n5,n8)+ | p(n3,n6,n8)+ | p(n3,n7,n8)+ | p(n3,n8,n8)+ | p(n3,n9,n8) )).++fof(ax3_9,axiom,+ ( p(n3,n1,n9)+ | p(n3,n2,n9)+ | p(n3,n3,n9)+ | p(n3,n4,n9)+ | p(n3,n5,n9)+ | p(n3,n6,n9)+ | p(n3,n7,n9)+ | p(n3,n8,n9)+ | p(n3,n9,n9) )).++fof(ax4_1,axiom,+ ( p(n4,n1,n1)+ | p(n4,n2,n1)+ | p(n4,n3,n1)+ | p(n4,n4,n1)+ | p(n4,n5,n1)+ | p(n4,n6,n1)+ | p(n4,n7,n1)+ | p(n4,n8,n1)+ | p(n4,n9,n1) )).++fof(ax4_2,axiom,+ ( p(n4,n1,n2)+ | p(n4,n2,n2)+ | p(n4,n3,n2)+ | p(n4,n4,n2)+ | p(n4,n5,n2)+ | p(n4,n6,n2)+ | p(n4,n7,n2)+ | p(n4,n8,n2)+ | p(n4,n9,n2) )).++fof(ax4_3,axiom,+ ( p(n4,n1,n3)+ | p(n4,n2,n3)+ | p(n4,n3,n3)+ | p(n4,n4,n3)+ | p(n4,n5,n3)+ | p(n4,n6,n3)+ | p(n4,n7,n3)+ | p(n4,n8,n3)+ | p(n4,n9,n3) )).++fof(ax4_4,axiom,+ ( p(n4,n1,n4)+ | p(n4,n2,n4)+ | p(n4,n3,n4)+ | p(n4,n4,n4)+ | p(n4,n5,n4)+ | p(n4,n6,n4)+ | p(n4,n7,n4)+ | p(n4,n8,n4)+ | p(n4,n9,n4) )).++fof(ax4_5,axiom,+ ( p(n4,n1,n5)+ | p(n4,n2,n5)+ | p(n4,n3,n5)+ | p(n4,n4,n5)+ | p(n4,n5,n5)+ | p(n4,n6,n5)+ | p(n4,n7,n5)+ | p(n4,n8,n5)+ | p(n4,n9,n5) )).++fof(ax4_6,axiom,+ ( p(n4,n1,n6)+ | p(n4,n2,n6)+ | p(n4,n3,n6)+ | p(n4,n4,n6)+ | p(n4,n5,n6)+ | p(n4,n6,n6)+ | p(n4,n7,n6)+ | p(n4,n8,n6)+ | p(n4,n9,n6) )).++fof(ax4_7,axiom,+ ( p(n4,n1,n7)+ | p(n4,n2,n7)+ | p(n4,n3,n7)+ | p(n4,n4,n7)+ | p(n4,n5,n7)+ | p(n4,n6,n7)+ | p(n4,n7,n7)+ | p(n4,n8,n7)+ | p(n4,n9,n7) )).++fof(ax4_8,axiom,+ ( p(n4,n1,n8)+ | p(n4,n2,n8)+ | p(n4,n3,n8)+ | p(n4,n4,n8)+ | p(n4,n5,n8)+ | p(n4,n6,n8)+ | p(n4,n7,n8)+ | p(n4,n8,n8)+ | p(n4,n9,n8) )).++fof(ax4_9,axiom,+ ( p(n4,n1,n9)+ | p(n4,n2,n9)+ | p(n4,n3,n9)+ | p(n4,n4,n9)+ | p(n4,n5,n9)+ | p(n4,n6,n9)+ | p(n4,n7,n9)+ | p(n4,n8,n9)+ | p(n4,n9,n9) )).++fof(ax5_1,axiom,+ ( p(n5,n1,n1)+ | p(n5,n2,n1)+ | p(n5,n3,n1)+ | p(n5,n4,n1)+ | p(n5,n5,n1)+ | p(n5,n6,n1)+ | p(n5,n7,n1)+ | p(n5,n8,n1)+ | p(n5,n9,n1) )).++fof(ax5_2,axiom,+ ( p(n5,n1,n2)+ | p(n5,n2,n2)+ | p(n5,n3,n2)+ | p(n5,n4,n2)+ | p(n5,n5,n2)+ | p(n5,n6,n2)+ | p(n5,n7,n2)+ | p(n5,n8,n2)+ | p(n5,n9,n2) )).++fof(ax5_3,axiom,+ ( p(n5,n1,n3)+ | p(n5,n2,n3)+ | p(n5,n3,n3)+ | p(n5,n4,n3)+ | p(n5,n5,n3)+ | p(n5,n6,n3)+ | p(n5,n7,n3)+ | p(n5,n8,n3)+ | p(n5,n9,n3) )).++fof(ax5_4,axiom,+ ( p(n5,n1,n4)+ | p(n5,n2,n4)+ | p(n5,n3,n4)+ | p(n5,n4,n4)+ | p(n5,n5,n4)+ | p(n5,n6,n4)+ | p(n5,n7,n4)+ | p(n5,n8,n4)+ | p(n5,n9,n4) )).++fof(ax5_5,axiom,+ ( p(n5,n1,n5)+ | p(n5,n2,n5)+ | p(n5,n3,n5)+ | p(n5,n4,n5)+ | p(n5,n5,n5)+ | p(n5,n6,n5)+ | p(n5,n7,n5)+ | p(n5,n8,n5)+ | p(n5,n9,n5) )).++fof(ax5_6,axiom,+ ( p(n5,n1,n6)+ | p(n5,n2,n6)+ | p(n5,n3,n6)+ | p(n5,n4,n6)+ | p(n5,n5,n6)+ | p(n5,n6,n6)+ | p(n5,n7,n6)+ | p(n5,n8,n6)+ | p(n5,n9,n6) )).++fof(ax5_7,axiom,+ ( p(n5,n1,n7)+ | p(n5,n2,n7)+ | p(n5,n3,n7)+ | p(n5,n4,n7)+ | p(n5,n5,n7)+ | p(n5,n6,n7)+ | p(n5,n7,n7)+ | p(n5,n8,n7)+ | p(n5,n9,n7) )).++fof(ax5_8,axiom,+ ( p(n5,n1,n8)+ | p(n5,n2,n8)+ | p(n5,n3,n8)+ | p(n5,n4,n8)+ | p(n5,n5,n8)+ | p(n5,n6,n8)+ | p(n5,n7,n8)+ | p(n5,n8,n8)+ | p(n5,n9,n8) )).++fof(ax5_9,axiom,+ ( p(n5,n1,n9)+ | p(n5,n2,n9)+ | p(n5,n3,n9)+ | p(n5,n4,n9)+ | p(n5,n5,n9)+ | p(n5,n6,n9)+ | p(n5,n7,n9)+ | p(n5,n8,n9)+ | p(n5,n9,n9) )).++fof(ax6_1,axiom,+ ( p(n6,n1,n1)+ | p(n6,n2,n1)+ | p(n6,n3,n1)+ | p(n6,n4,n1)+ | p(n6,n5,n1)+ | p(n6,n6,n1)+ | p(n6,n7,n1)+ | p(n6,n8,n1)+ | p(n6,n9,n1) )).++fof(ax6_2,axiom,+ ( p(n6,n1,n2)+ | p(n6,n2,n2)+ | p(n6,n3,n2)+ | p(n6,n4,n2)+ | p(n6,n5,n2)+ | p(n6,n6,n2)+ | p(n6,n7,n2)+ | p(n6,n8,n2)+ | p(n6,n9,n2) )).++fof(ax6_3,axiom,+ ( p(n6,n1,n3)+ | p(n6,n2,n3)+ | p(n6,n3,n3)+ | p(n6,n4,n3)+ | p(n6,n5,n3)+ | p(n6,n6,n3)+ | p(n6,n7,n3)+ | p(n6,n8,n3)+ | p(n6,n9,n3) )).++fof(ax6_4,axiom,+ ( p(n6,n1,n4)+ | p(n6,n2,n4)+ | p(n6,n3,n4)+ | p(n6,n4,n4)+ | p(n6,n5,n4)+ | p(n6,n6,n4)+ | p(n6,n7,n4)+ | p(n6,n8,n4)+ | p(n6,n9,n4) )).++fof(ax6_5,axiom,+ ( p(n6,n1,n5)+ | p(n6,n2,n5)+ | p(n6,n3,n5)+ | p(n6,n4,n5)+ | p(n6,n5,n5)+ | p(n6,n6,n5)+ | p(n6,n7,n5)+ | p(n6,n8,n5)+ | p(n6,n9,n5) )).++fof(ax6_6,axiom,+ ( p(n6,n1,n6)+ | p(n6,n2,n6)+ | p(n6,n3,n6)+ | p(n6,n4,n6)+ | p(n6,n5,n6)+ | p(n6,n6,n6)+ | p(n6,n7,n6)+ | p(n6,n8,n6)+ | p(n6,n9,n6) )).++fof(ax6_7,axiom,+ ( p(n6,n1,n7)+ | p(n6,n2,n7)+ | p(n6,n3,n7)+ | p(n6,n4,n7)+ | p(n6,n5,n7)+ | p(n6,n6,n7)+ | p(n6,n7,n7)+ | p(n6,n8,n7)+ | p(n6,n9,n7) )).++fof(ax6_8,axiom,+ ( p(n6,n1,n8)+ | p(n6,n2,n8)+ | p(n6,n3,n8)+ | p(n6,n4,n8)+ | p(n6,n5,n8)+ | p(n6,n6,n8)+ | p(n6,n7,n8)+ | p(n6,n8,n8)+ | p(n6,n9,n8) )).++fof(ax6_9,axiom,+ ( p(n6,n1,n9)+ | p(n6,n2,n9)+ | p(n6,n3,n9)+ | p(n6,n4,n9)+ | p(n6,n5,n9)+ | p(n6,n6,n9)+ | p(n6,n7,n9)+ | p(n6,n8,n9)+ | p(n6,n9,n9) )).++fof(ax7_1,axiom,+ ( p(n7,n1,n1)+ | p(n7,n2,n1)+ | p(n7,n3,n1)+ | p(n7,n4,n1)+ | p(n7,n5,n1)+ | p(n7,n6,n1)+ | p(n7,n7,n1)+ | p(n7,n8,n1)+ | p(n7,n9,n1) )).++fof(ax7_2,axiom,+ ( p(n7,n1,n2)+ | p(n7,n2,n2)+ | p(n7,n3,n2)+ | p(n7,n4,n2)+ | p(n7,n5,n2)+ | p(n7,n6,n2)+ | p(n7,n7,n2)+ | p(n7,n8,n2)+ | p(n7,n9,n2) )).++fof(ax7_3,axiom,+ ( p(n7,n1,n3)+ | p(n7,n2,n3)+ | p(n7,n3,n3)+ | p(n7,n4,n3)+ | p(n7,n5,n3)+ | p(n7,n6,n3)+ | p(n7,n7,n3)+ | p(n7,n8,n3)+ | p(n7,n9,n3) )).++fof(ax7_4,axiom,+ ( p(n7,n1,n4)+ | p(n7,n2,n4)+ | p(n7,n3,n4)+ | p(n7,n4,n4)+ | p(n7,n5,n4)+ | p(n7,n6,n4)+ | p(n7,n7,n4)+ | p(n7,n8,n4)+ | p(n7,n9,n4) )).++fof(ax7_5,axiom,+ ( p(n7,n1,n5)+ | p(n7,n2,n5)+ | p(n7,n3,n5)+ | p(n7,n4,n5)+ | p(n7,n5,n5)+ | p(n7,n6,n5)+ | p(n7,n7,n5)+ | p(n7,n8,n5)+ | p(n7,n9,n5) )).++fof(ax7_6,axiom,+ ( p(n7,n1,n6)+ | p(n7,n2,n6)+ | p(n7,n3,n6)+ | p(n7,n4,n6)+ | p(n7,n5,n6)+ | p(n7,n6,n6)+ | p(n7,n7,n6)+ | p(n7,n8,n6)+ | p(n7,n9,n6) )).++fof(ax7_7,axiom,+ ( p(n7,n1,n7)+ | p(n7,n2,n7)+ | p(n7,n3,n7)+ | p(n7,n4,n7)+ | p(n7,n5,n7)+ | p(n7,n6,n7)+ | p(n7,n7,n7)+ | p(n7,n8,n7)+ | p(n7,n9,n7) )).++fof(ax7_8,axiom,+ ( p(n7,n1,n8)+ | p(n7,n2,n8)+ | p(n7,n3,n8)+ | p(n7,n4,n8)+ | p(n7,n5,n8)+ | p(n7,n6,n8)+ | p(n7,n7,n8)+ | p(n7,n8,n8)+ | p(n7,n9,n8) )).++fof(ax7_9,axiom,+ ( p(n7,n1,n9)+ | p(n7,n2,n9)+ | p(n7,n3,n9)+ | p(n7,n4,n9)+ | p(n7,n5,n9)+ | p(n7,n6,n9)+ | p(n7,n7,n9)+ | p(n7,n8,n9)+ | p(n7,n9,n9) )).++fof(ax8_1,axiom,+ ( p(n8,n1,n1)+ | p(n8,n2,n1)+ | p(n8,n3,n1)+ | p(n8,n4,n1)+ | p(n8,n5,n1)+ | p(n8,n6,n1)+ | p(n8,n7,n1)+ | p(n8,n8,n1)+ | p(n8,n9,n1) )).++fof(ax8_2,axiom,+ ( p(n8,n1,n2)+ | p(n8,n2,n2)+ | p(n8,n3,n2)+ | p(n8,n4,n2)+ | p(n8,n5,n2)+ | p(n8,n6,n2)+ | p(n8,n7,n2)+ | p(n8,n8,n2)+ | p(n8,n9,n2) )).++fof(ax8_3,axiom,+ ( p(n8,n1,n3)+ | p(n8,n2,n3)+ | p(n8,n3,n3)+ | p(n8,n4,n3)+ | p(n8,n5,n3)+ | p(n8,n6,n3)+ | p(n8,n7,n3)+ | p(n8,n8,n3)+ | p(n8,n9,n3) )).++fof(ax8_4,axiom,+ ( p(n8,n1,n4)+ | p(n8,n2,n4)+ | p(n8,n3,n4)+ | p(n8,n4,n4)+ | p(n8,n5,n4)+ | p(n8,n6,n4)+ | p(n8,n7,n4)+ | p(n8,n8,n4)+ | p(n8,n9,n4) )).++fof(ax8_5,axiom,+ ( p(n8,n1,n5)+ | p(n8,n2,n5)+ | p(n8,n3,n5)+ | p(n8,n4,n5)+ | p(n8,n5,n5)+ | p(n8,n6,n5)+ | p(n8,n7,n5)+ | p(n8,n8,n5)+ | p(n8,n9,n5) )).++fof(ax8_6,axiom,+ ( p(n8,n1,n6)+ | p(n8,n2,n6)+ | p(n8,n3,n6)+ | p(n8,n4,n6)+ | p(n8,n5,n6)+ | p(n8,n6,n6)+ | p(n8,n7,n6)+ | p(n8,n8,n6)+ | p(n8,n9,n6) )).++fof(ax8_7,axiom,+ ( p(n8,n1,n7)+ | p(n8,n2,n7)+ | p(n8,n3,n7)+ | p(n8,n4,n7)+ | p(n8,n5,n7)+ | p(n8,n6,n7)+ | p(n8,n7,n7)+ | p(n8,n8,n7)+ | p(n8,n9,n7) )).++fof(ax8_8,axiom,+ ( p(n8,n1,n8)+ | p(n8,n2,n8)+ | p(n8,n3,n8)+ | p(n8,n4,n8)+ | p(n8,n5,n8)+ | p(n8,n6,n8)+ | p(n8,n7,n8)+ | p(n8,n8,n8)+ | p(n8,n9,n8) )).++fof(ax8_9,axiom,+ ( p(n8,n1,n9)+ | p(n8,n2,n9)+ | p(n8,n3,n9)+ | p(n8,n4,n9)+ | p(n8,n5,n9)+ | p(n8,n6,n9)+ | p(n8,n7,n9)+ | p(n8,n8,n9)+ | p(n8,n9,n9) )).++fof(ax9_1,axiom,+ ( p(n9,n1,n1)+ | p(n9,n2,n1)+ | p(n9,n3,n1)+ | p(n9,n4,n1)+ | p(n9,n5,n1)+ | p(n9,n6,n1)+ | p(n9,n7,n1)+ | p(n9,n8,n1)+ | p(n9,n9,n1) )).++fof(ax9_2,axiom,+ ( p(n9,n1,n2)+ | p(n9,n2,n2)+ | p(n9,n3,n2)+ | p(n9,n4,n2)+ | p(n9,n5,n2)+ | p(n9,n6,n2)+ | p(n9,n7,n2)+ | p(n9,n8,n2)+ | p(n9,n9,n2) )).++fof(ax9_3,axiom,+ ( p(n9,n1,n3)+ | p(n9,n2,n3)+ | p(n9,n3,n3)+ | p(n9,n4,n3)+ | p(n9,n5,n3)+ | p(n9,n6,n3)+ | p(n9,n7,n3)+ | p(n9,n8,n3)+ | p(n9,n9,n3) )).++fof(ax9_4,axiom,+ ( p(n9,n1,n4)+ | p(n9,n2,n4)+ | p(n9,n3,n4)+ | p(n9,n4,n4)+ | p(n9,n5,n4)+ | p(n9,n6,n4)+ | p(n9,n7,n4)+ | p(n9,n8,n4)+ | p(n9,n9,n4) )).++fof(ax9_5,axiom,+ ( p(n9,n1,n5)+ | p(n9,n2,n5)+ | p(n9,n3,n5)+ | p(n9,n4,n5)+ | p(n9,n5,n5)+ | p(n9,n6,n5)+ | p(n9,n7,n5)+ | p(n9,n8,n5)+ | p(n9,n9,n5) )).++fof(ax9_6,axiom,+ ( p(n9,n1,n6)+ | p(n9,n2,n6)+ | p(n9,n3,n6)+ | p(n9,n4,n6)+ | p(n9,n5,n6)+ | p(n9,n6,n6)+ | p(n9,n7,n6)+ | p(n9,n8,n6)+ | p(n9,n9,n6) )).++fof(ax9_7,axiom,+ ( p(n9,n1,n7)+ | p(n9,n2,n7)+ | p(n9,n3,n7)+ | p(n9,n4,n7)+ | p(n9,n5,n7)+ | p(n9,n6,n7)+ | p(n9,n7,n7)+ | p(n9,n8,n7)+ | p(n9,n9,n7) )).++fof(ax9_8,axiom,+ ( p(n9,n1,n8)+ | p(n9,n2,n8)+ | p(n9,n3,n8)+ | p(n9,n4,n8)+ | p(n9,n5,n8)+ | p(n9,n6,n8)+ | p(n9,n7,n8)+ | p(n9,n8,n8)+ | p(n9,n9,n8) )).++fof(ax9_9,axiom,+ ( p(n9,n1,n9)+ | p(n9,n2,n9)+ | p(n9,n3,n9)+ | p(n9,n4,n9)+ | p(n9,n5,n9)+ | p(n9,n6,n9)+ | p(n9,n7,n9)+ | p(n9,n8,n9)+ | p(n9,n9,n9) )).++% Column Constraints++fof(ax_11,axiom,+ ( p(n1,n1,n1)+ | p(n2,n1,n1)+ | p(n3,n1,n1)+ | p(n4,n1,n1)+ | p(n5,n1,n1)+ | p(n6,n1,n1)+ | p(n7,n1,n1)+ | p(n8,n1,n1)+ | p(n9,n1,n1) )).++fof(ax_12,axiom,+ ( p(n1,n1,n2)+ | p(n2,n1,n2)+ | p(n3,n1,n2)+ | p(n4,n1,n2)+ | p(n5,n1,n2)+ | p(n6,n1,n2)+ | p(n7,n1,n2)+ | p(n8,n1,n2)+ | p(n9,n1,n2) )).++fof(ax_13,axiom,+ ( p(n1,n1,n3)+ | p(n2,n1,n3)+ | p(n3,n1,n3)+ | p(n4,n1,n3)+ | p(n5,n1,n3)+ | p(n6,n1,n3)+ | p(n7,n1,n3)+ | p(n8,n1,n3)+ | p(n9,n1,n3) )).++fof(ax_14,axiom,+ ( p(n1,n1,n4)+ | p(n2,n1,n4)+ | p(n3,n1,n4)+ | p(n4,n1,n4)+ | p(n5,n1,n4)+ | p(n6,n1,n4)+ | p(n7,n1,n4)+ | p(n8,n1,n4)+ | p(n9,n1,n4) )).++fof(ax_15,axiom,+ ( p(n1,n1,n5)+ | p(n2,n1,n5)+ | p(n3,n1,n5)+ | p(n4,n1,n5)+ | p(n5,n1,n5)+ | p(n6,n1,n5)+ | p(n7,n1,n5)+ | p(n8,n1,n5)+ | p(n9,n1,n5) )).++fof(ax_16,axiom,+ ( p(n1,n1,n6)+ | p(n2,n1,n6)+ | p(n3,n1,n6)+ | p(n4,n1,n6)+ | p(n5,n1,n6)+ | p(n6,n1,n6)+ | p(n7,n1,n6)+ | p(n8,n1,n6)+ | p(n9,n1,n6) )).++fof(ax_17,axiom,+ ( p(n1,n1,n7)+ | p(n2,n1,n7)+ | p(n3,n1,n7)+ | p(n4,n1,n7)+ | p(n5,n1,n7)+ | p(n6,n1,n7)+ | p(n7,n1,n7)+ | p(n8,n1,n7)+ | p(n9,n1,n7) )).++fof(ax_18,axiom,+ ( p(n1,n1,n8)+ | p(n2,n1,n8)+ | p(n3,n1,n8)+ | p(n4,n1,n8)+ | p(n5,n1,n8)+ | p(n6,n1,n8)+ | p(n7,n1,n8)+ | p(n8,n1,n8)+ | p(n9,n1,n8) )).++fof(ax_19,axiom,+ ( p(n1,n1,n9)+ | p(n2,n1,n9)+ | p(n3,n1,n9)+ | p(n4,n1,n9)+ | p(n5,n1,n9)+ | p(n6,n1,n9)+ | p(n7,n1,n9)+ | p(n8,n1,n9)+ | p(n9,n1,n9) )).++fof(ax_21,axiom,+ ( p(n1,n2,n1)+ | p(n2,n2,n1)+ | p(n3,n2,n1)+ | p(n4,n2,n1)+ | p(n5,n2,n1)+ | p(n6,n2,n1)+ | p(n7,n2,n1)+ | p(n8,n2,n1)+ | p(n9,n2,n1) )).++fof(ax_22,axiom,+ ( p(n1,n2,n2)+ | p(n2,n2,n2)+ | p(n3,n2,n2)+ | p(n4,n2,n2)+ | p(n5,n2,n2)+ | p(n6,n2,n2)+ | p(n7,n2,n2)+ | p(n8,n2,n2)+ | p(n9,n2,n2) )).++fof(ax_23,axiom,+ ( p(n1,n2,n3)+ | p(n2,n2,n3)+ | p(n3,n2,n3)+ | p(n4,n2,n3)+ | p(n5,n2,n3)+ | p(n6,n2,n3)+ | p(n7,n2,n3)+ | p(n8,n2,n3)+ | p(n9,n2,n3) )).++fof(ax_24,axiom,+ ( p(n1,n2,n4)+ | p(n2,n2,n4)+ | p(n3,n2,n4)+ | p(n4,n2,n4)+ | p(n5,n2,n4)+ | p(n6,n2,n4)+ | p(n7,n2,n4)+ | p(n8,n2,n4)+ | p(n9,n2,n4) )).++fof(ax_25,axiom,+ ( p(n1,n2,n5)+ | p(n2,n2,n5)+ | p(n3,n2,n5)+ | p(n4,n2,n5)+ | p(n5,n2,n5)+ | p(n6,n2,n5)+ | p(n7,n2,n5)+ | p(n8,n2,n5)+ | p(n9,n2,n5) )).++fof(ax_26,axiom,+ ( p(n1,n2,n6)+ | p(n2,n2,n6)+ | p(n3,n2,n6)+ | p(n4,n2,n6)+ | p(n5,n2,n6)+ | p(n6,n2,n6)+ | p(n7,n2,n6)+ | p(n8,n2,n6)+ | p(n9,n2,n6) )).++fof(ax_27,axiom,+ ( p(n1,n2,n7)+ | p(n2,n2,n7)+ | p(n3,n2,n7)+ | p(n4,n2,n7)+ | p(n5,n2,n7)+ | p(n6,n2,n7)+ | p(n7,n2,n7)+ | p(n8,n2,n7)+ | p(n9,n2,n7) )).++fof(ax_28,axiom,+ ( p(n1,n2,n8)+ | p(n2,n2,n8)+ | p(n3,n2,n8)+ | p(n4,n2,n8)+ | p(n5,n2,n8)+ | p(n6,n2,n8)+ | p(n7,n2,n8)+ | p(n8,n2,n8)+ | p(n9,n2,n8) )).++fof(ax_29,axiom,+ ( p(n1,n2,n9)+ | p(n2,n2,n9)+ | p(n3,n2,n9)+ | p(n4,n2,n9)+ | p(n5,n2,n9)+ | p(n6,n2,n9)+ | p(n7,n2,n9)+ | p(n8,n2,n9)+ | p(n9,n2,n9) )).++fof(ax_31,axiom,+ ( p(n1,n3,n1)+ | p(n2,n3,n1)+ | p(n3,n3,n1)+ | p(n4,n3,n1)+ | p(n5,n3,n1)+ | p(n6,n3,n1)+ | p(n7,n3,n1)+ | p(n8,n3,n1)+ | p(n9,n3,n1) )).++fof(ax_32,axiom,+ ( p(n1,n3,n2)+ | p(n2,n3,n2)+ | p(n3,n3,n2)+ | p(n4,n3,n2)+ | p(n5,n3,n2)+ | p(n6,n3,n2)+ | p(n7,n3,n2)+ | p(n8,n3,n2)+ | p(n9,n3,n2) )).++fof(ax_33,axiom,+ ( p(n1,n3,n3)+ | p(n2,n3,n3)+ | p(n3,n3,n3)+ | p(n4,n3,n3)+ | p(n5,n3,n3)+ | p(n6,n3,n3)+ | p(n7,n3,n3)+ | p(n8,n3,n3)+ | p(n9,n3,n3) )).++fof(ax_34,axiom,+ ( p(n1,n3,n4)+ | p(n2,n3,n4)+ | p(n3,n3,n4)+ | p(n4,n3,n4)+ | p(n5,n3,n4)+ | p(n6,n3,n4)+ | p(n7,n3,n4)+ | p(n8,n3,n4)+ | p(n9,n3,n4) )).++fof(ax_35,axiom,+ ( p(n1,n3,n5)+ | p(n2,n3,n5)+ | p(n3,n3,n5)+ | p(n4,n3,n5)+ | p(n5,n3,n5)+ | p(n6,n3,n5)+ | p(n7,n3,n5)+ | p(n8,n3,n5)+ | p(n9,n3,n5) )).++fof(ax_36,axiom,+ ( p(n1,n3,n6)+ | p(n2,n3,n6)+ | p(n3,n3,n6)+ | p(n4,n3,n6)+ | p(n5,n3,n6)+ | p(n6,n3,n6)+ | p(n7,n3,n6)+ | p(n8,n3,n6)+ | p(n9,n3,n6) )).++fof(ax_37,axiom,+ ( p(n1,n3,n7)+ | p(n2,n3,n7)+ | p(n3,n3,n7)+ | p(n4,n3,n7)+ | p(n5,n3,n7)+ | p(n6,n3,n7)+ | p(n7,n3,n7)+ | p(n8,n3,n7)+ | p(n9,n3,n7) )).++fof(ax_38,axiom,+ ( p(n1,n3,n8)+ | p(n2,n3,n8)+ | p(n3,n3,n8)+ | p(n4,n3,n8)+ | p(n5,n3,n8)+ | p(n6,n3,n8)+ | p(n7,n3,n8)+ | p(n8,n3,n8)+ | p(n9,n3,n8) )).++fof(ax_39,axiom,+ ( p(n1,n3,n9)+ | p(n2,n3,n9)+ | p(n3,n3,n9)+ | p(n4,n3,n9)+ | p(n5,n3,n9)+ | p(n6,n3,n9)+ | p(n7,n3,n9)+ | p(n8,n3,n9)+ | p(n9,n3,n9) )).++fof(ax_41,axiom,+ ( p(n1,n4,n1)+ | p(n2,n4,n1)+ | p(n3,n4,n1)+ | p(n4,n4,n1)+ | p(n5,n4,n1)+ | p(n6,n4,n1)+ | p(n7,n4,n1)+ | p(n8,n4,n1)+ | p(n9,n4,n1) )).++fof(ax_42,axiom,+ ( p(n1,n4,n2)+ | p(n2,n4,n2)+ | p(n3,n4,n2)+ | p(n4,n4,n2)+ | p(n5,n4,n2)+ | p(n6,n4,n2)+ | p(n7,n4,n2)+ | p(n8,n4,n2)+ | p(n9,n4,n2) )).++fof(ax_43,axiom,+ ( p(n1,n4,n3)+ | p(n2,n4,n3)+ | p(n3,n4,n3)+ | p(n4,n4,n3)+ | p(n5,n4,n3)+ | p(n6,n4,n3)+ | p(n7,n4,n3)+ | p(n8,n4,n3)+ | p(n9,n4,n3) )).++fof(ax_44,axiom,+ ( p(n1,n4,n4)+ | p(n2,n4,n4)+ | p(n3,n4,n4)+ | p(n4,n4,n4)+ | p(n5,n4,n4)+ | p(n6,n4,n4)+ | p(n7,n4,n4)+ | p(n8,n4,n4)+ | p(n9,n4,n4) )).++fof(ax_45,axiom,+ ( p(n1,n4,n5)+ | p(n2,n4,n5)+ | p(n3,n4,n5)+ | p(n4,n4,n5)+ | p(n5,n4,n5)+ | p(n6,n4,n5)+ | p(n7,n4,n5)+ | p(n8,n4,n5)+ | p(n9,n4,n5) )).++fof(ax_46,axiom,+ ( p(n1,n4,n6)+ | p(n2,n4,n6)+ | p(n3,n4,n6)+ | p(n4,n4,n6)+ | p(n5,n4,n6)+ | p(n6,n4,n6)+ | p(n7,n4,n6)+ | p(n8,n4,n6)+ | p(n9,n4,n6) )).++fof(ax_47,axiom,+ ( p(n1,n4,n7)+ | p(n2,n4,n7)+ | p(n3,n4,n7)+ | p(n4,n4,n7)+ | p(n5,n4,n7)+ | p(n6,n4,n7)+ | p(n7,n4,n7)+ | p(n8,n4,n7)+ | p(n9,n4,n7) )).++fof(ax_48,axiom,+ ( p(n1,n4,n8)+ | p(n2,n4,n8)+ | p(n3,n4,n8)+ | p(n4,n4,n8)+ | p(n5,n4,n8)+ | p(n6,n4,n8)+ | p(n7,n4,n8)+ | p(n8,n4,n8)+ | p(n9,n4,n8) )).++fof(ax_49,axiom,+ ( p(n1,n4,n9)+ | p(n2,n4,n9)+ | p(n3,n4,n9)+ | p(n4,n4,n9)+ | p(n5,n4,n9)+ | p(n6,n4,n9)+ | p(n7,n4,n9)+ | p(n8,n4,n9)+ | p(n9,n4,n9) )).++fof(ax_51,axiom,+ ( p(n1,n5,n1)+ | p(n2,n5,n1)+ | p(n3,n5,n1)+ | p(n4,n5,n1)+ | p(n5,n5,n1)+ | p(n6,n5,n1)+ | p(n7,n5,n1)+ | p(n8,n5,n1)+ | p(n9,n5,n1) )).++fof(ax_52,axiom,+ ( p(n1,n5,n2)+ | p(n2,n5,n2)+ | p(n3,n5,n2)+ | p(n4,n5,n2)+ | p(n5,n5,n2)+ | p(n6,n5,n2)+ | p(n7,n5,n2)+ | p(n8,n5,n2)+ | p(n9,n5,n2) )).++fof(ax_53,axiom,+ ( p(n1,n5,n3)+ | p(n2,n5,n3)+ | p(n3,n5,n3)+ | p(n4,n5,n3)+ | p(n5,n5,n3)+ | p(n6,n5,n3)+ | p(n7,n5,n3)+ | p(n8,n5,n3)+ | p(n9,n5,n3) )).++fof(ax_54,axiom,+ ( p(n1,n5,n4)+ | p(n2,n5,n4)+ | p(n3,n5,n4)+ | p(n4,n5,n4)+ | p(n5,n5,n4)+ | p(n6,n5,n4)+ | p(n7,n5,n4)+ | p(n8,n5,n4)+ | p(n9,n5,n4) )).++fof(ax_55,axiom,+ ( p(n1,n5,n5)+ | p(n2,n5,n5)+ | p(n3,n5,n5)+ | p(n4,n5,n5)+ | p(n5,n5,n5)+ | p(n6,n5,n5)+ | p(n7,n5,n5)+ | p(n8,n5,n5)+ | p(n9,n5,n5) )).++fof(ax_56,axiom,+ ( p(n1,n5,n6)+ | p(n2,n5,n6)+ | p(n3,n5,n6)+ | p(n4,n5,n6)+ | p(n5,n5,n6)+ | p(n6,n5,n6)+ | p(n7,n5,n6)+ | p(n8,n5,n6)+ | p(n9,n5,n6) )).++fof(ax_57,axiom,+ ( p(n1,n5,n7)+ | p(n2,n5,n7)+ | p(n3,n5,n7)+ | p(n4,n5,n7)+ | p(n5,n5,n7)+ | p(n6,n5,n7)+ | p(n7,n5,n7)+ | p(n8,n5,n7)+ | p(n9,n5,n7) )).++fof(ax_58,axiom,+ ( p(n1,n5,n8)+ | p(n2,n5,n8)+ | p(n3,n5,n8)+ | p(n4,n5,n8)+ | p(n5,n5,n8)+ | p(n6,n5,n8)+ | p(n7,n5,n8)+ | p(n8,n5,n8)+ | p(n9,n5,n8) )).++fof(ax_59,axiom,+ ( p(n1,n5,n9)+ | p(n2,n5,n9)+ | p(n3,n5,n9)+ | p(n4,n5,n9)+ | p(n5,n5,n9)+ | p(n6,n5,n9)+ | p(n7,n5,n9)+ | p(n8,n5,n9)+ | p(n9,n5,n9) )).++fof(ax_61,axiom,+ ( p(n1,n6,n1)+ | p(n2,n6,n1)+ | p(n3,n6,n1)+ | p(n4,n6,n1)+ | p(n5,n6,n1)+ | p(n6,n6,n1)+ | p(n7,n6,n1)+ | p(n8,n6,n1)+ | p(n9,n6,n1) )).++fof(ax_62,axiom,+ ( p(n1,n6,n2)+ | p(n2,n6,n2)+ | p(n3,n6,n2)+ | p(n4,n6,n2)+ | p(n5,n6,n2)+ | p(n6,n6,n2)+ | p(n7,n6,n2)+ | p(n8,n6,n2)+ | p(n9,n6,n2) )).++fof(ax_63,axiom,+ ( p(n1,n6,n3)+ | p(n2,n6,n3)+ | p(n3,n6,n3)+ | p(n4,n6,n3)+ | p(n5,n6,n3)+ | p(n6,n6,n3)+ | p(n7,n6,n3)+ | p(n8,n6,n3)+ | p(n9,n6,n3) )).++fof(ax_64,axiom,+ ( p(n1,n6,n4)+ | p(n2,n6,n4)+ | p(n3,n6,n4)+ | p(n4,n6,n4)+ | p(n5,n6,n4)+ | p(n6,n6,n4)+ | p(n7,n6,n4)+ | p(n8,n6,n4)+ | p(n9,n6,n4) )).++fof(ax_65,axiom,+ ( p(n1,n6,n5)+ | p(n2,n6,n5)+ | p(n3,n6,n5)+ | p(n4,n6,n5)+ | p(n5,n6,n5)+ | p(n6,n6,n5)+ | p(n7,n6,n5)+ | p(n8,n6,n5)+ | p(n9,n6,n5) )).++fof(ax_66,axiom,+ ( p(n1,n6,n6)+ | p(n2,n6,n6)+ | p(n3,n6,n6)+ | p(n4,n6,n6)+ | p(n5,n6,n6)+ | p(n6,n6,n6)+ | p(n7,n6,n6)+ | p(n8,n6,n6)+ | p(n9,n6,n6) )).++fof(ax_67,axiom,+ ( p(n1,n6,n7)+ | p(n2,n6,n7)+ | p(n3,n6,n7)+ | p(n4,n6,n7)+ | p(n5,n6,n7)+ | p(n6,n6,n7)+ | p(n7,n6,n7)+ | p(n8,n6,n7)+ | p(n9,n6,n7) )).++fof(ax_68,axiom,+ ( p(n1,n6,n8)+ | p(n2,n6,n8)+ | p(n3,n6,n8)+ | p(n4,n6,n8)+ | p(n5,n6,n8)+ | p(n6,n6,n8)+ | p(n7,n6,n8)+ | p(n8,n6,n8)+ | p(n9,n6,n8) )).++fof(ax_69,axiom,+ ( p(n1,n6,n9)+ | p(n2,n6,n9)+ | p(n3,n6,n9)+ | p(n4,n6,n9)+ | p(n5,n6,n9)+ | p(n6,n6,n9)+ | p(n7,n6,n9)+ | p(n8,n6,n9)+ | p(n9,n6,n9) )).++fof(ax_71,axiom,+ ( p(n1,n7,n1)+ | p(n2,n7,n1)+ | p(n3,n7,n1)+ | p(n4,n7,n1)+ | p(n5,n7,n1)+ | p(n6,n7,n1)+ | p(n7,n7,n1)+ | p(n8,n7,n1)+ | p(n9,n7,n1) )).++fof(ax_72,axiom,+ ( p(n1,n7,n2)+ | p(n2,n7,n2)+ | p(n3,n7,n2)+ | p(n4,n7,n2)+ | p(n5,n7,n2)+ | p(n6,n7,n2)+ | p(n7,n7,n2)+ | p(n8,n7,n2)+ | p(n9,n7,n2) )).++fof(ax_73,axiom,+ ( p(n1,n7,n3)+ | p(n2,n7,n3)+ | p(n3,n7,n3)+ | p(n4,n7,n3)+ | p(n5,n7,n3)+ | p(n6,n7,n3)+ | p(n7,n7,n3)+ | p(n8,n7,n3)+ | p(n9,n7,n3) )).++fof(ax_74,axiom,+ ( p(n1,n7,n4)+ | p(n2,n7,n4)+ | p(n3,n7,n4)+ | p(n4,n7,n4)+ | p(n5,n7,n4)+ | p(n6,n7,n4)+ | p(n7,n7,n4)+ | p(n8,n7,n4)+ | p(n9,n7,n4) )).++fof(ax_75,axiom,+ ( p(n1,n7,n5)+ | p(n2,n7,n5)+ | p(n3,n7,n5)+ | p(n4,n7,n5)+ | p(n5,n7,n5)+ | p(n6,n7,n5)+ | p(n7,n7,n5)+ | p(n8,n7,n5)+ | p(n9,n7,n5) )).++fof(ax_76,axiom,+ ( p(n1,n7,n6)+ | p(n2,n7,n6)+ | p(n3,n7,n6)+ | p(n4,n7,n6)+ | p(n5,n7,n6)+ | p(n6,n7,n6)+ | p(n7,n7,n6)+ | p(n8,n7,n6)+ | p(n9,n7,n6) )).++fof(ax_77,axiom,+ ( p(n1,n7,n7)+ | p(n2,n7,n7)+ | p(n3,n7,n7)+ | p(n4,n7,n7)+ | p(n5,n7,n7)+ | p(n6,n7,n7)+ | p(n7,n7,n7)+ | p(n8,n7,n7)+ | p(n9,n7,n7) )).++fof(ax_78,axiom,+ ( p(n1,n7,n8)+ | p(n2,n7,n8)+ | p(n3,n7,n8)+ | p(n4,n7,n8)+ | p(n5,n7,n8)+ | p(n6,n7,n8)+ | p(n7,n7,n8)+ | p(n8,n7,n8)+ | p(n9,n7,n8) )).++fof(ax_79,axiom,+ ( p(n1,n7,n9)+ | p(n2,n7,n9)+ | p(n3,n7,n9)+ | p(n4,n7,n9)+ | p(n5,n7,n9)+ | p(n6,n7,n9)+ | p(n7,n7,n9)+ | p(n8,n7,n9)+ | p(n9,n7,n9) )).++fof(ax_81,axiom,+ ( p(n1,n8,n1)+ | p(n2,n8,n1)+ | p(n3,n8,n1)+ | p(n4,n8,n1)+ | p(n5,n8,n1)+ | p(n6,n8,n1)+ | p(n7,n8,n1)+ | p(n8,n8,n1)+ | p(n9,n8,n1) )).++fof(ax_82,axiom,+ ( p(n1,n8,n2)+ | p(n2,n8,n2)+ | p(n3,n8,n2)+ | p(n4,n8,n2)+ | p(n5,n8,n2)+ | p(n6,n8,n2)+ | p(n7,n8,n2)+ | p(n8,n8,n2)+ | p(n9,n8,n2) )).++fof(ax_83,axiom,+ ( p(n1,n8,n3)+ | p(n2,n8,n3)+ | p(n3,n8,n3)+ | p(n4,n8,n3)+ | p(n5,n8,n3)+ | p(n6,n8,n3)+ | p(n7,n8,n3)+ | p(n8,n8,n3)+ | p(n9,n8,n3) )).++fof(ax_84,axiom,+ ( p(n1,n8,n4)+ | p(n2,n8,n4)+ | p(n3,n8,n4)+ | p(n4,n8,n4)+ | p(n5,n8,n4)+ | p(n6,n8,n4)+ | p(n7,n8,n4)+ | p(n8,n8,n4)+ | p(n9,n8,n4) )).++fof(ax_85,axiom,+ ( p(n1,n8,n5)+ | p(n2,n8,n5)+ | p(n3,n8,n5)+ | p(n4,n8,n5)+ | p(n5,n8,n5)+ | p(n6,n8,n5)+ | p(n7,n8,n5)+ | p(n8,n8,n5)+ | p(n9,n8,n5) )).++fof(ax_86,axiom,+ ( p(n1,n8,n6)+ | p(n2,n8,n6)+ | p(n3,n8,n6)+ | p(n4,n8,n6)+ | p(n5,n8,n6)+ | p(n6,n8,n6)+ | p(n7,n8,n6)+ | p(n8,n8,n6)+ | p(n9,n8,n6) )).++fof(ax_87,axiom,+ ( p(n1,n8,n7)+ | p(n2,n8,n7)+ | p(n3,n8,n7)+ | p(n4,n8,n7)+ | p(n5,n8,n7)+ | p(n6,n8,n7)+ | p(n7,n8,n7)+ | p(n8,n8,n7)+ | p(n9,n8,n7) )).++fof(ax_88,axiom,+ ( p(n1,n8,n8)+ | p(n2,n8,n8)+ | p(n3,n8,n8)+ | p(n4,n8,n8)+ | p(n5,n8,n8)+ | p(n6,n8,n8)+ | p(n7,n8,n8)+ | p(n8,n8,n8)+ | p(n9,n8,n8) )).++fof(ax_89,axiom,+ ( p(n1,n8,n9)+ | p(n2,n8,n9)+ | p(n3,n8,n9)+ | p(n4,n8,n9)+ | p(n5,n8,n9)+ | p(n6,n8,n9)+ | p(n7,n8,n9)+ | p(n8,n8,n9)+ | p(n9,n8,n9) )).++fof(ax_91,axiom,+ ( p(n1,n9,n1)+ | p(n2,n9,n1)+ | p(n3,n9,n1)+ | p(n4,n9,n1)+ | p(n5,n9,n1)+ | p(n6,n9,n1)+ | p(n7,n9,n1)+ | p(n8,n9,n1)+ | p(n9,n9,n1) )).++fof(ax_92,axiom,+ ( p(n1,n9,n2)+ | p(n2,n9,n2)+ | p(n3,n9,n2)+ | p(n4,n9,n2)+ | p(n5,n9,n2)+ | p(n6,n9,n2)+ | p(n7,n9,n2)+ | p(n8,n9,n2)+ | p(n9,n9,n2) )).++fof(ax_93,axiom,+ ( p(n1,n9,n3)+ | p(n2,n9,n3)+ | p(n3,n9,n3)+ | p(n4,n9,n3)+ | p(n5,n9,n3)+ | p(n6,n9,n3)+ | p(n7,n9,n3)+ | p(n8,n9,n3)+ | p(n9,n9,n3) )).++fof(ax_94,axiom,+ ( p(n1,n9,n4)+ | p(n2,n9,n4)+ | p(n3,n9,n4)+ | p(n4,n9,n4)+ | p(n5,n9,n4)+ | p(n6,n9,n4)+ | p(n7,n9,n4)+ | p(n8,n9,n4)+ | p(n9,n9,n4) )).++fof(ax_95,axiom,+ ( p(n1,n9,n5)+ | p(n2,n9,n5)+ | p(n3,n9,n5)+ | p(n4,n9,n5)+ | p(n5,n9,n5)+ | p(n6,n9,n5)+ | p(n7,n9,n5)+ | p(n8,n9,n5)+ | p(n9,n9,n5) )).++fof(ax_96,axiom,+ ( p(n1,n9,n6)+ | p(n2,n9,n6)+ | p(n3,n9,n6)+ | p(n4,n9,n6)+ | p(n5,n9,n6)+ | p(n6,n9,n6)+ | p(n7,n9,n6)+ | p(n8,n9,n6)+ | p(n9,n9,n6) )).++fof(ax_97,axiom,+ ( p(n1,n9,n7)+ | p(n2,n9,n7)+ | p(n3,n9,n7)+ | p(n4,n9,n7)+ | p(n5,n9,n7)+ | p(n6,n9,n7)+ | p(n7,n9,n7)+ | p(n8,n9,n7)+ | p(n9,n9,n7) )).++fof(ax_98,axiom,+ ( p(n1,n9,n8)+ | p(n2,n9,n8)+ | p(n3,n9,n8)+ | p(n4,n9,n8)+ | p(n5,n9,n8)+ | p(n6,n9,n8)+ | p(n7,n9,n8)+ | p(n8,n9,n8)+ | p(n9,n9,n8) )).++fof(ax_99,axiom,+ ( p(n1,n9,n9)+ | p(n2,n9,n9)+ | p(n3,n9,n9)+ | p(n4,n9,n9)+ | p(n5,n9,n9)+ | p(n6,n9,n9)+ | p(n7,n9,n9)+ | p(n8,n9,n9)+ | p(n9,n9,n9) )).++% Single Quadrat Constraints++fof(ax11_,axiom,+ ( p(n1,n1,n1)+ | p(n1,n1,n2)+ | p(n1,n1,n3)+ | p(n1,n1,n4)+ | p(n1,n1,n5)+ | p(n1,n1,n6)+ | p(n1,n1,n7)+ | p(n1,n1,n8)+ | p(n1,n1,n9) )).++fof(ax12_,axiom,+ ( p(n1,n2,n1)+ | p(n1,n2,n2)+ | p(n1,n2,n3)+ | p(n1,n2,n4)+ | p(n1,n2,n5)+ | p(n1,n2,n6)+ | p(n1,n2,n7)+ | p(n1,n2,n8)+ | p(n1,n2,n9) )).++fof(ax13_,axiom,+ ( p(n1,n3,n1)+ | p(n1,n3,n2)+ | p(n1,n3,n3)+ | p(n1,n3,n4)+ | p(n1,n3,n5)+ | p(n1,n3,n6)+ | p(n1,n3,n7)+ | p(n1,n3,n8)+ | p(n1,n3,n9) )).++fof(ax14_,axiom,+ ( p(n1,n4,n1)+ | p(n1,n4,n2)+ | p(n1,n4,n3)+ | p(n1,n4,n4)+ | p(n1,n4,n5)+ | p(n1,n4,n6)+ | p(n1,n4,n7)+ | p(n1,n4,n8)+ | p(n1,n4,n9) )).++fof(ax15_,axiom,+ ( p(n1,n5,n1)+ | p(n1,n5,n2)+ | p(n1,n5,n3)+ | p(n1,n5,n4)+ | p(n1,n5,n5)+ | p(n1,n5,n6)+ | p(n1,n5,n7)+ | p(n1,n5,n8)+ | p(n1,n5,n9) )).++fof(ax16_,axiom,+ ( p(n1,n6,n1)+ | p(n1,n6,n2)+ | p(n1,n6,n3)+ | p(n1,n6,n4)+ | p(n1,n6,n5)+ | p(n1,n6,n6)+ | p(n1,n6,n7)+ | p(n1,n6,n8)+ | p(n1,n6,n9) )).++fof(ax17_,axiom,+ ( p(n1,n7,n1)+ | p(n1,n7,n2)+ | p(n1,n7,n3)+ | p(n1,n7,n4)+ | p(n1,n7,n5)+ | p(n1,n7,n6)+ | p(n1,n7,n7)+ | p(n1,n7,n8)+ | p(n1,n7,n9) )).++fof(ax18_,axiom,+ ( p(n1,n8,n1)+ | p(n1,n8,n2)+ | p(n1,n8,n3)+ | p(n1,n8,n4)+ | p(n1,n8,n5)+ | p(n1,n8,n6)+ | p(n1,n8,n7)+ | p(n1,n8,n8)+ | p(n1,n8,n9) )).++fof(ax19_,axiom,+ ( p(n1,n9,n1)+ | p(n1,n9,n2)+ | p(n1,n9,n3)+ | p(n1,n9,n4)+ | p(n1,n9,n5)+ | p(n1,n9,n6)+ | p(n1,n9,n7)+ | p(n1,n9,n8)+ | p(n1,n9,n9) )).++fof(ax21_,axiom,+ ( p(n2,n1,n1)+ | p(n2,n1,n2)+ | p(n2,n1,n3)+ | p(n2,n1,n4)+ | p(n2,n1,n5)+ | p(n2,n1,n6)+ | p(n2,n1,n7)+ | p(n2,n1,n8)+ | p(n2,n1,n9) )).++fof(ax22_,axiom,+ ( p(n2,n2,n1)+ | p(n2,n2,n2)+ | p(n2,n2,n3)+ | p(n2,n2,n4)+ | p(n2,n2,n5)+ | p(n2,n2,n6)+ | p(n2,n2,n7)+ | p(n2,n2,n8)+ | p(n2,n2,n9) )).++fof(ax23_,axiom,+ ( p(n2,n3,n1)+ | p(n2,n3,n2)+ | p(n2,n3,n3)+ | p(n2,n3,n4)+ | p(n2,n3,n5)+ | p(n2,n3,n6)+ | p(n2,n3,n7)+ | p(n2,n3,n8)+ | p(n2,n3,n9) )).++fof(ax24_,axiom,+ ( p(n2,n4,n1)+ | p(n2,n4,n2)+ | p(n2,n4,n3)+ | p(n2,n4,n4)+ | p(n2,n4,n5)+ | p(n2,n4,n6)+ | p(n2,n4,n7)+ | p(n2,n4,n8)+ | p(n2,n4,n9) )).++fof(ax25_,axiom,+ ( p(n2,n5,n1)+ | p(n2,n5,n2)+ | p(n2,n5,n3)+ | p(n2,n5,n4)+ | p(n2,n5,n5)+ | p(n2,n5,n6)+ | p(n2,n5,n7)+ | p(n2,n5,n8)+ | p(n2,n5,n9) )).++fof(ax26_,axiom,+ ( p(n2,n6,n1)+ | p(n2,n6,n2)+ | p(n2,n6,n3)+ | p(n2,n6,n4)+ | p(n2,n6,n5)+ | p(n2,n6,n6)+ | p(n2,n6,n7)+ | p(n2,n6,n8)+ | p(n2,n6,n9) )).++fof(ax27_,axiom,+ ( p(n2,n7,n1)+ | p(n2,n7,n2)+ | p(n2,n7,n3)+ | p(n2,n7,n4)+ | p(n2,n7,n5)+ | p(n2,n7,n6)+ | p(n2,n7,n7)+ | p(n2,n7,n8)+ | p(n2,n7,n9) )).++fof(ax28_,axiom,+ ( p(n2,n8,n1)+ | p(n2,n8,n2)+ | p(n2,n8,n3)+ | p(n2,n8,n4)+ | p(n2,n8,n5)+ | p(n2,n8,n6)+ | p(n2,n8,n7)+ | p(n2,n8,n8)+ | p(n2,n8,n9) )).++fof(ax29_,axiom,+ ( p(n2,n9,n1)+ | p(n2,n9,n2)+ | p(n2,n9,n3)+ | p(n2,n9,n4)+ | p(n2,n9,n5)+ | p(n2,n9,n6)+ | p(n2,n9,n7)+ | p(n2,n9,n8)+ | p(n2,n9,n9) )).++fof(ax31_,axiom,+ ( p(n3,n1,n1)+ | p(n3,n1,n2)+ | p(n3,n1,n3)+ | p(n3,n1,n4)+ | p(n3,n1,n5)+ | p(n3,n1,n6)+ | p(n3,n1,n7)+ | p(n3,n1,n8)+ | p(n3,n1,n9) )).++fof(ax32_,axiom,+ ( p(n3,n2,n1)+ | p(n3,n2,n2)+ | p(n3,n2,n3)+ | p(n3,n2,n4)+ | p(n3,n2,n5)+ | p(n3,n2,n6)+ | p(n3,n2,n7)+ | p(n3,n2,n8)+ | p(n3,n2,n9) )).++fof(ax33_,axiom,+ ( p(n3,n3,n1)+ | p(n3,n3,n2)+ | p(n3,n3,n3)+ | p(n3,n3,n4)+ | p(n3,n3,n5)+ | p(n3,n3,n6)+ | p(n3,n3,n7)+ | p(n3,n3,n8)+ | p(n3,n3,n9) )).++fof(ax34_,axiom,+ ( p(n3,n4,n1)+ | p(n3,n4,n2)+ | p(n3,n4,n3)+ | p(n3,n4,n4)+ | p(n3,n4,n5)+ | p(n3,n4,n6)+ | p(n3,n4,n7)+ | p(n3,n4,n8)+ | p(n3,n4,n9) )).++fof(ax35_,axiom,+ ( p(n3,n5,n1)+ | p(n3,n5,n2)+ | p(n3,n5,n3)+ | p(n3,n5,n4)+ | p(n3,n5,n5)+ | p(n3,n5,n6)+ | p(n3,n5,n7)+ | p(n3,n5,n8)+ | p(n3,n5,n9) )).++fof(ax36_,axiom,+ ( p(n3,n6,n1)+ | p(n3,n6,n2)+ | p(n3,n6,n3)+ | p(n3,n6,n4)+ | p(n3,n6,n5)+ | p(n3,n6,n6)+ | p(n3,n6,n7)+ | p(n3,n6,n8)+ | p(n3,n6,n9) )).++fof(ax37_,axiom,+ ( p(n3,n7,n1)+ | p(n3,n7,n2)+ | p(n3,n7,n3)+ | p(n3,n7,n4)+ | p(n3,n7,n5)+ | p(n3,n7,n6)+ | p(n3,n7,n7)+ | p(n3,n7,n8)+ | p(n3,n7,n9) )).++fof(ax38_,axiom,+ ( p(n3,n8,n1)+ | p(n3,n8,n2)+ | p(n3,n8,n3)+ | p(n3,n8,n4)+ | p(n3,n8,n5)+ | p(n3,n8,n6)+ | p(n3,n8,n7)+ | p(n3,n8,n8)+ | p(n3,n8,n9) )).++fof(ax39_,axiom,+ ( p(n3,n9,n1)+ | p(n3,n9,n2)+ | p(n3,n9,n3)+ | p(n3,n9,n4)+ | p(n3,n9,n5)+ | p(n3,n9,n6)+ | p(n3,n9,n7)+ | p(n3,n9,n8)+ | p(n3,n9,n9) )).++fof(ax41_,axiom,+ ( p(n4,n1,n1)+ | p(n4,n1,n2)+ | p(n4,n1,n3)+ | p(n4,n1,n4)+ | p(n4,n1,n5)+ | p(n4,n1,n6)+ | p(n4,n1,n7)+ | p(n4,n1,n8)+ | p(n4,n1,n9) )).++fof(ax42_,axiom,+ ( p(n4,n2,n1)+ | p(n4,n2,n2)+ | p(n4,n2,n3)+ | p(n4,n2,n4)+ | p(n4,n2,n5)+ | p(n4,n2,n6)+ | p(n4,n2,n7)+ | p(n4,n2,n8)+ | p(n4,n2,n9) )).++fof(ax43_,axiom,+ ( p(n4,n3,n1)+ | p(n4,n3,n2)+ | p(n4,n3,n3)+ | p(n4,n3,n4)+ | p(n4,n3,n5)+ | p(n4,n3,n6)+ | p(n4,n3,n7)+ | p(n4,n3,n8)+ | p(n4,n3,n9) )).++fof(ax44_,axiom,+ ( p(n4,n4,n1)+ | p(n4,n4,n2)+ | p(n4,n4,n3)+ | p(n4,n4,n4)+ | p(n4,n4,n5)+ | p(n4,n4,n6)+ | p(n4,n4,n7)+ | p(n4,n4,n8)+ | p(n4,n4,n9) )).++fof(ax45_,axiom,+ ( p(n4,n5,n1)+ | p(n4,n5,n2)+ | p(n4,n5,n3)+ | p(n4,n5,n4)+ | p(n4,n5,n5)+ | p(n4,n5,n6)+ | p(n4,n5,n7)+ | p(n4,n5,n8)+ | p(n4,n5,n9) )).++fof(ax46_,axiom,+ ( p(n4,n6,n1)+ | p(n4,n6,n2)+ | p(n4,n6,n3)+ | p(n4,n6,n4)+ | p(n4,n6,n5)+ | p(n4,n6,n6)+ | p(n4,n6,n7)+ | p(n4,n6,n8)+ | p(n4,n6,n9) )).++fof(ax47_,axiom,+ ( p(n4,n7,n1)+ | p(n4,n7,n2)+ | p(n4,n7,n3)+ | p(n4,n7,n4)+ | p(n4,n7,n5)+ | p(n4,n7,n6)+ | p(n4,n7,n7)+ | p(n4,n7,n8)+ | p(n4,n7,n9) )).++fof(ax48_,axiom,+ ( p(n4,n8,n1)+ | p(n4,n8,n2)+ | p(n4,n8,n3)+ | p(n4,n8,n4)+ | p(n4,n8,n5)+ | p(n4,n8,n6)+ | p(n4,n8,n7)+ | p(n4,n8,n8)+ | p(n4,n8,n9) )).++fof(ax49_,axiom,+ ( p(n4,n9,n1)+ | p(n4,n9,n2)+ | p(n4,n9,n3)+ | p(n4,n9,n4)+ | p(n4,n9,n5)+ | p(n4,n9,n6)+ | p(n4,n9,n7)+ | p(n4,n9,n8)+ | p(n4,n9,n9) )).++fof(ax51_,axiom,+ ( p(n5,n1,n1)+ | p(n5,n1,n2)+ | p(n5,n1,n3)+ | p(n5,n1,n4)+ | p(n5,n1,n5)+ | p(n5,n1,n6)+ | p(n5,n1,n7)+ | p(n5,n1,n8)+ | p(n5,n1,n9) )).++fof(ax52_,axiom,+ ( p(n5,n2,n1)+ | p(n5,n2,n2)+ | p(n5,n2,n3)+ | p(n5,n2,n4)+ | p(n5,n2,n5)+ | p(n5,n2,n6)+ | p(n5,n2,n7)+ | p(n5,n2,n8)+ | p(n5,n2,n9) )).++fof(ax53_,axiom,+ ( p(n5,n3,n1)+ | p(n5,n3,n2)+ | p(n5,n3,n3)+ | p(n5,n3,n4)+ | p(n5,n3,n5)+ | p(n5,n3,n6)+ | p(n5,n3,n7)+ | p(n5,n3,n8)+ | p(n5,n3,n9) )).++fof(ax54_,axiom,+ ( p(n5,n4,n1)+ | p(n5,n4,n2)+ | p(n5,n4,n3)+ | p(n5,n4,n4)+ | p(n5,n4,n5)+ | p(n5,n4,n6)+ | p(n5,n4,n7)+ | p(n5,n4,n8)+ | p(n5,n4,n9) )).++fof(ax55_,axiom,+ ( p(n5,n5,n1)+ | p(n5,n5,n2)+ | p(n5,n5,n3)+ | p(n5,n5,n4)+ | p(n5,n5,n5)+ | p(n5,n5,n6)+ | p(n5,n5,n7)+ | p(n5,n5,n8)+ | p(n5,n5,n9) )).++fof(ax56_,axiom,+ ( p(n5,n6,n1)+ | p(n5,n6,n2)+ | p(n5,n6,n3)+ | p(n5,n6,n4)+ | p(n5,n6,n5)+ | p(n5,n6,n6)+ | p(n5,n6,n7)+ | p(n5,n6,n8)+ | p(n5,n6,n9) )).++fof(ax57_,axiom,+ ( p(n5,n7,n1)+ | p(n5,n7,n2)+ | p(n5,n7,n3)+ | p(n5,n7,n4)+ | p(n5,n7,n5)+ | p(n5,n7,n6)+ | p(n5,n7,n7)+ | p(n5,n7,n8)+ | p(n5,n7,n9) )).++fof(ax58_,axiom,+ ( p(n5,n8,n1)+ | p(n5,n8,n2)+ | p(n5,n8,n3)+ | p(n5,n8,n4)+ | p(n5,n8,n5)+ | p(n5,n8,n6)+ | p(n5,n8,n7)+ | p(n5,n8,n8)+ | p(n5,n8,n9) )).++fof(ax59_,axiom,+ ( p(n5,n9,n1)+ | p(n5,n9,n2)+ | p(n5,n9,n3)+ | p(n5,n9,n4)+ | p(n5,n9,n5)+ | p(n5,n9,n6)+ | p(n5,n9,n7)+ | p(n5,n9,n8)+ | p(n5,n9,n9) )).++fof(ax61_,axiom,+ ( p(n6,n1,n1)+ | p(n6,n1,n2)+ | p(n6,n1,n3)+ | p(n6,n1,n4)+ | p(n6,n1,n5)+ | p(n6,n1,n6)+ | p(n6,n1,n7)+ | p(n6,n1,n8)+ | p(n6,n1,n9) )).++fof(ax62_,axiom,+ ( p(n6,n2,n1)+ | p(n6,n2,n2)+ | p(n6,n2,n3)+ | p(n6,n2,n4)+ | p(n6,n2,n5)+ | p(n6,n2,n6)+ | p(n6,n2,n7)+ | p(n6,n2,n8)+ | p(n6,n2,n9) )).++fof(ax63_,axiom,+ ( p(n6,n3,n1)+ | p(n6,n3,n2)+ | p(n6,n3,n3)+ | p(n6,n3,n4)+ | p(n6,n3,n5)+ | p(n6,n3,n6)+ | p(n6,n3,n7)+ | p(n6,n3,n8)+ | p(n6,n3,n9) )).++fof(ax64_,axiom,+ ( p(n6,n4,n1)+ | p(n6,n4,n2)+ | p(n6,n4,n3)+ | p(n6,n4,n4)+ | p(n6,n4,n5)+ | p(n6,n4,n6)+ | p(n6,n4,n7)+ | p(n6,n4,n8)+ | p(n6,n4,n9) )).++fof(ax65_,axiom,+ ( p(n6,n5,n1)+ | p(n6,n5,n2)+ | p(n6,n5,n3)+ | p(n6,n5,n4)+ | p(n6,n5,n5)+ | p(n6,n5,n6)+ | p(n6,n5,n7)+ | p(n6,n5,n8)+ | p(n6,n5,n9) )).++fof(ax66_,axiom,+ ( p(n6,n6,n1)+ | p(n6,n6,n2)+ | p(n6,n6,n3)+ | p(n6,n6,n4)+ | p(n6,n6,n5)+ | p(n6,n6,n6)+ | p(n6,n6,n7)+ | p(n6,n6,n8)+ | p(n6,n6,n9) )).++fof(ax67_,axiom,+ ( p(n6,n7,n1)+ | p(n6,n7,n2)+ | p(n6,n7,n3)+ | p(n6,n7,n4)+ | p(n6,n7,n5)+ | p(n6,n7,n6)+ | p(n6,n7,n7)+ | p(n6,n7,n8)+ | p(n6,n7,n9) )).++fof(ax68_,axiom,+ ( p(n6,n8,n1)+ | p(n6,n8,n2)+ | p(n6,n8,n3)+ | p(n6,n8,n4)+ | p(n6,n8,n5)+ | p(n6,n8,n6)+ | p(n6,n8,n7)+ | p(n6,n8,n8)+ | p(n6,n8,n9) )).++fof(ax69_,axiom,+ ( p(n6,n9,n1)+ | p(n6,n9,n2)+ | p(n6,n9,n3)+ | p(n6,n9,n4)+ | p(n6,n9,n5)+ | p(n6,n9,n6)+ | p(n6,n9,n7)+ | p(n6,n9,n8)+ | p(n6,n9,n9) )).++fof(ax71_,axiom,+ ( p(n7,n1,n1)+ | p(n7,n1,n2)+ | p(n7,n1,n3)+ | p(n7,n1,n4)+ | p(n7,n1,n5)+ | p(n7,n1,n6)+ | p(n7,n1,n7)+ | p(n7,n1,n8)+ | p(n7,n1,n9) )).++fof(ax72_,axiom,+ ( p(n7,n2,n1)+ | p(n7,n2,n2)+ | p(n7,n2,n3)+ | p(n7,n2,n4)+ | p(n7,n2,n5)+ | p(n7,n2,n6)+ | p(n7,n2,n7)+ | p(n7,n2,n8)+ | p(n7,n2,n9) )).++fof(ax73_,axiom,+ ( p(n7,n3,n1)+ | p(n7,n3,n2)+ | p(n7,n3,n3)+ | p(n7,n3,n4)+ | p(n7,n3,n5)+ | p(n7,n3,n6)+ | p(n7,n3,n7)+ | p(n7,n3,n8)+ | p(n7,n3,n9) )).++fof(ax74_,axiom,+ ( p(n7,n4,n1)+ | p(n7,n4,n2)+ | p(n7,n4,n3)+ | p(n7,n4,n4)+ | p(n7,n4,n5)+ | p(n7,n4,n6)+ | p(n7,n4,n7)+ | p(n7,n4,n8)+ | p(n7,n4,n9) )).++fof(ax75_,axiom,+ ( p(n7,n5,n1)+ | p(n7,n5,n2)+ | p(n7,n5,n3)+ | p(n7,n5,n4)+ | p(n7,n5,n5)+ | p(n7,n5,n6)+ | p(n7,n5,n7)+ | p(n7,n5,n8)+ | p(n7,n5,n9) )).++fof(ax76_,axiom,+ ( p(n7,n6,n1)+ | p(n7,n6,n2)+ | p(n7,n6,n3)+ | p(n7,n6,n4)+ | p(n7,n6,n5)+ | p(n7,n6,n6)+ | p(n7,n6,n7)+ | p(n7,n6,n8)+ | p(n7,n6,n9) )).++fof(ax77_,axiom,+ ( p(n7,n7,n1)+ | p(n7,n7,n2)+ | p(n7,n7,n3)+ | p(n7,n7,n4)+ | p(n7,n7,n5)+ | p(n7,n7,n6)+ | p(n7,n7,n7)+ | p(n7,n7,n8)+ | p(n7,n7,n9) )).++fof(ax78_,axiom,+ ( p(n7,n8,n1)+ | p(n7,n8,n2)+ | p(n7,n8,n3)+ | p(n7,n8,n4)+ | p(n7,n8,n5)+ | p(n7,n8,n6)+ | p(n7,n8,n7)+ | p(n7,n8,n8)+ | p(n7,n8,n9) )).++fof(ax79_,axiom,+ ( p(n7,n9,n1)+ | p(n7,n9,n2)+ | p(n7,n9,n3)+ | p(n7,n9,n4)+ | p(n7,n9,n5)+ | p(n7,n9,n6)+ | p(n7,n9,n7)+ | p(n7,n9,n8)+ | p(n7,n9,n9) )).++fof(ax81_,axiom,+ ( p(n8,n1,n1)+ | p(n8,n1,n2)+ | p(n8,n1,n3)+ | p(n8,n1,n4)+ | p(n8,n1,n5)+ | p(n8,n1,n6)+ | p(n8,n1,n7)+ | p(n8,n1,n8)+ | p(n8,n1,n9) )).++fof(ax82_,axiom,+ ( p(n8,n2,n1)+ | p(n8,n2,n2)+ | p(n8,n2,n3)+ | p(n8,n2,n4)+ | p(n8,n2,n5)+ | p(n8,n2,n6)+ | p(n8,n2,n7)+ | p(n8,n2,n8)+ | p(n8,n2,n9) )).++fof(ax83_,axiom,+ ( p(n8,n3,n1)+ | p(n8,n3,n2)+ | p(n8,n3,n3)+ | p(n8,n3,n4)+ | p(n8,n3,n5)+ | p(n8,n3,n6)+ | p(n8,n3,n7)+ | p(n8,n3,n8)+ | p(n8,n3,n9) )).++fof(ax84_,axiom,+ ( p(n8,n4,n1)+ | p(n8,n4,n2)+ | p(n8,n4,n3)+ | p(n8,n4,n4)+ | p(n8,n4,n5)+ | p(n8,n4,n6)+ | p(n8,n4,n7)+ | p(n8,n4,n8)+ | p(n8,n4,n9) )).++fof(ax85_,axiom,+ ( p(n8,n5,n1)+ | p(n8,n5,n2)+ | p(n8,n5,n3)+ | p(n8,n5,n4)+ | p(n8,n5,n5)+ | p(n8,n5,n6)+ | p(n8,n5,n7)+ | p(n8,n5,n8)+ | p(n8,n5,n9) )).++fof(ax86_,axiom,+ ( p(n8,n6,n1)+ | p(n8,n6,n2)+ | p(n8,n6,n3)+ | p(n8,n6,n4)+ | p(n8,n6,n5)+ | p(n8,n6,n6)+ | p(n8,n6,n7)+ | p(n8,n6,n8)+ | p(n8,n6,n9) )).++fof(ax87_,axiom,+ ( p(n8,n7,n1)+ | p(n8,n7,n2)+ | p(n8,n7,n3)+ | p(n8,n7,n4)+ | p(n8,n7,n5)+ | p(n8,n7,n6)+ | p(n8,n7,n7)+ | p(n8,n7,n8)+ | p(n8,n7,n9) )).++fof(ax88_,axiom,+ ( p(n8,n8,n1)+ | p(n8,n8,n2)+ | p(n8,n8,n3)+ | p(n8,n8,n4)+ | p(n8,n8,n5)+ | p(n8,n8,n6)+ | p(n8,n8,n7)+ | p(n8,n8,n8)+ | p(n8,n8,n9) )).++fof(ax89_,axiom,+ ( p(n8,n9,n1)+ | p(n8,n9,n2)+ | p(n8,n9,n3)+ | p(n8,n9,n4)+ | p(n8,n9,n5)+ | p(n8,n9,n6)+ | p(n8,n9,n7)+ | p(n8,n9,n8)+ | p(n8,n9,n9) )).++fof(ax91_,axiom,+ ( p(n9,n1,n1)+ | p(n9,n1,n2)+ | p(n9,n1,n3)+ | p(n9,n1,n4)+ | p(n9,n1,n5)+ | p(n9,n1,n6)+ | p(n9,n1,n7)+ | p(n9,n1,n8)+ | p(n9,n1,n9) )).++fof(ax92_,axiom,+ ( p(n9,n2,n1)+ | p(n9,n2,n2)+ | p(n9,n2,n3)+ | p(n9,n2,n4)+ | p(n9,n2,n5)+ | p(n9,n2,n6)+ | p(n9,n2,n7)+ | p(n9,n2,n8)+ | p(n9,n2,n9) )).++fof(ax93_,axiom,+ ( p(n9,n3,n1)+ | p(n9,n3,n2)+ | p(n9,n3,n3)+ | p(n9,n3,n4)+ | p(n9,n3,n5)+ | p(n9,n3,n6)+ | p(n9,n3,n7)+ | p(n9,n3,n8)+ | p(n9,n3,n9) )).++fof(ax94_,axiom,+ ( p(n9,n4,n1)+ | p(n9,n4,n2)+ | p(n9,n4,n3)+ | p(n9,n4,n4)+ | p(n9,n4,n5)+ | p(n9,n4,n6)+ | p(n9,n4,n7)+ | p(n9,n4,n8)+ | p(n9,n4,n9) )).++fof(ax95_,axiom,+ ( p(n9,n5,n1)+ | p(n9,n5,n2)+ | p(n9,n5,n3)+ | p(n9,n5,n4)+ | p(n9,n5,n5)+ | p(n9,n5,n6)+ | p(n9,n5,n7)+ | p(n9,n5,n8)+ | p(n9,n5,n9) )).++fof(ax96_,axiom,+ ( p(n9,n6,n1)+ | p(n9,n6,n2)+ | p(n9,n6,n3)+ | p(n9,n6,n4)+ | p(n9,n6,n5)+ | p(n9,n6,n6)+ | p(n9,n6,n7)+ | p(n9,n6,n8)+ | p(n9,n6,n9) )).++fof(ax97_,axiom,+ ( p(n9,n7,n1)+ | p(n9,n7,n2)+ | p(n9,n7,n3)+ | p(n9,n7,n4)+ | p(n9,n7,n5)+ | p(n9,n7,n6)+ | p(n9,n7,n7)+ | p(n9,n7,n8)+ | p(n9,n7,n9) )).++fof(ax98_,axiom,+ ( p(n9,n8,n1)+ | p(n9,n8,n2)+ | p(n9,n8,n3)+ | p(n9,n8,n4)+ | p(n9,n8,n5)+ | p(n9,n8,n6)+ | p(n9,n8,n7)+ | p(n9,n8,n8)+ | p(n9,n8,n9) )).++fof(ax99_,axiom,+ ( p(n9,n9,n1)+ | p(n9,n9,n2)+ | p(n9,n9,n3)+ | p(n9,n9,n4)+ | p(n9,n9,n5)+ | p(n9,n9,n6)+ | p(n9,n9,n7)+ | p(n9,n9,n8)+ | p(n9,n9,n9) )).++% QUADRAT 1,1++fof(axQ111,axiom,+ ( p(n1,n1,n1)+ | p(n1,n2,n1)+ | p(n1,n3,n1)+ | p(n2,n1,n1)+ | p(n2,n2,n1)+ | p(n2,n3,n1)+ | p(n3,n1,n1)+ | p(n3,n2,n1)+ | p(n3,n3,n1) )).++fof(axQ112,axiom,+ ( p(n1,n1,n2)+ | p(n1,n2,n2)+ | p(n1,n3,n2)+ | p(n2,n1,n2)+ | p(n2,n2,n2)+ | p(n2,n3,n2)+ | p(n3,n1,n2)+ | p(n3,n2,n2)+ | p(n3,n3,n2) )).++fof(axQ113,axiom,+ ( p(n1,n1,n3)+ | p(n1,n2,n3)+ | p(n1,n3,n3)+ | p(n2,n1,n3)+ | p(n2,n2,n3)+ | p(n2,n3,n3)+ | p(n3,n1,n3)+ | p(n3,n2,n3)+ | p(n3,n3,n3) )).++fof(axQ114,axiom,+ ( p(n1,n1,n4)+ | p(n1,n2,n4)+ | p(n1,n3,n4)+ | p(n2,n1,n4)+ | p(n2,n2,n4)+ | p(n2,n3,n4)+ | p(n3,n1,n4)+ | p(n3,n2,n4)+ | p(n3,n3,n4) )).++fof(axQ115,axiom,+ ( p(n1,n1,n5)+ | p(n1,n2,n5)+ | p(n1,n3,n5)+ | p(n2,n1,n5)+ | p(n2,n2,n5)+ | p(n2,n3,n5)+ | p(n3,n1,n5)+ | p(n3,n2,n5)+ | p(n3,n3,n5) )).++fof(axQ116,axiom,+ ( p(n1,n1,n6)+ | p(n1,n2,n6)+ | p(n1,n3,n6)+ | p(n2,n1,n6)+ | p(n2,n2,n6)+ | p(n2,n3,n6)+ | p(n3,n1,n6)+ | p(n3,n2,n6)+ | p(n3,n3,n6) )).++fof(axQ117,axiom,+ ( p(n1,n1,n7)+ | p(n1,n2,n7)+ | p(n1,n3,n7)+ | p(n2,n1,n7)+ | p(n2,n2,n7)+ | p(n2,n3,n7)+ | p(n3,n1,n7)+ | p(n3,n2,n7)+ | p(n3,n3,n7) )).++fof(axQ118,axiom,+ ( p(n1,n1,n8)+ | p(n1,n2,n8)+ | p(n1,n3,n8)+ | p(n2,n1,n8)+ | p(n2,n2,n8)+ | p(n2,n3,n8)+ | p(n3,n1,n8)+ | p(n3,n2,n8)+ | p(n3,n3,n8) )).++fof(axQ119,axiom,+ ( p(n1,n1,n9)+ | p(n1,n2,n9)+ | p(n1,n3,n9)+ | p(n2,n1,n9)+ | p(n2,n2,n9)+ | p(n2,n3,n9)+ | p(n3,n1,n9)+ | p(n3,n2,n9)+ | p(n3,n3,n9) )).++% QUADRAT 1,2++fof(axQ121,axiom,+ ( p(n1,n4,n1)+ | p(n1,n5,n1)+ | p(n1,n6,n1)+ | p(n2,n4,n1)+ | p(n2,n5,n1)+ | p(n2,n6,n1)+ | p(n3,n4,n1)+ | p(n3,n5,n1)+ | p(n3,n6,n1) )).++fof(axQ122,axiom,+ ( p(n1,n4,n2)+ | p(n1,n5,n2)+ | p(n1,n6,n2)+ | p(n2,n4,n2)+ | p(n2,n5,n2)+ | p(n2,n6,n2)+ | p(n3,n4,n2)+ | p(n3,n5,n2)+ | p(n3,n6,n2) )).++fof(axQ123,axiom,+ ( p(n1,n4,n3)+ | p(n1,n5,n3)+ | p(n1,n6,n3)+ | p(n2,n4,n3)+ | p(n2,n5,n3)+ | p(n2,n6,n3)+ | p(n3,n4,n3)+ | p(n3,n5,n3)+ | p(n3,n6,n3) )).++fof(axQ124,axiom,+ ( p(n1,n4,n4)+ | p(n1,n5,n4)+ | p(n1,n6,n4)+ | p(n2,n4,n4)+ | p(n2,n5,n4)+ | p(n2,n6,n4)+ | p(n3,n4,n4)+ | p(n3,n5,n4)+ | p(n3,n6,n4) )).++fof(axQ125,axiom,+ ( p(n1,n4,n5)+ | p(n1,n5,n5)+ | p(n1,n6,n5)+ | p(n2,n4,n5)+ | p(n2,n5,n5)+ | p(n2,n6,n5)+ | p(n3,n4,n5)+ | p(n3,n5,n5)+ | p(n3,n6,n5) )).++fof(axQ126,axiom,+ ( p(n1,n4,n6)+ | p(n1,n5,n6)+ | p(n1,n6,n6)+ | p(n2,n4,n6)+ | p(n2,n5,n6)+ | p(n2,n6,n6)+ | p(n3,n4,n6)+ | p(n3,n5,n6)+ | p(n3,n6,n6) )).++fof(axQ127,axiom,+ ( p(n1,n4,n7)+ | p(n1,n5,n7)+ | p(n1,n6,n7)+ | p(n2,n4,n7)+ | p(n2,n5,n7)+ | p(n2,n6,n7)+ | p(n3,n4,n7)+ | p(n3,n5,n7)+ | p(n3,n6,n7) )).++fof(axQ128,axiom,+ ( p(n1,n4,n8)+ | p(n1,n5,n8)+ | p(n1,n6,n8)+ | p(n2,n4,n8)+ | p(n2,n5,n8)+ | p(n2,n6,n8)+ | p(n3,n4,n8)+ | p(n3,n5,n8)+ | p(n3,n6,n8) )).++fof(axQ129,axiom,+ ( p(n1,n4,n9)+ | p(n1,n5,n9)+ | p(n1,n6,n9)+ | p(n2,n4,n9)+ | p(n2,n5,n9)+ | p(n2,n6,n9)+ | p(n3,n4,n9)+ | p(n3,n5,n9)+ | p(n3,n6,n9) )).++% QUADRAT 1,3++fof(axQ131,axiom,+ ( p(n1,n7,n1)+ | p(n1,n8,n1)+ | p(n1,n9,n1)+ | p(n2,n7,n1)+ | p(n2,n8,n1)+ | p(n2,n9,n1)+ | p(n3,n7,n1)+ | p(n3,n8,n1)+ | p(n3,n9,n1) )).++fof(axQ132,axiom,+ ( p(n1,n7,n2)+ | p(n1,n8,n2)+ | p(n1,n9,n2)+ | p(n2,n7,n2)+ | p(n2,n8,n2)+ | p(n2,n9,n2)+ | p(n3,n7,n2)+ | p(n3,n8,n2)+ | p(n3,n9,n2) )).++fof(axQ133,axiom,+ ( p(n1,n7,n3)+ | p(n1,n8,n3)+ | p(n1,n9,n3)+ | p(n2,n7,n3)+ | p(n2,n8,n3)+ | p(n2,n9,n3)+ | p(n3,n7,n3)+ | p(n3,n8,n3)+ | p(n3,n9,n3) )).++fof(axQ134,axiom,+ ( p(n1,n7,n4)+ | p(n1,n8,n4)+ | p(n1,n9,n4)+ | p(n2,n7,n4)+ | p(n2,n8,n4)+ | p(n2,n9,n4)+ | p(n3,n7,n4)+ | p(n3,n8,n4)+ | p(n3,n9,n4) )).++fof(axQ135,axiom,+ ( p(n1,n7,n5)+ | p(n1,n8,n5)+ | p(n1,n9,n5)+ | p(n2,n7,n5)+ | p(n2,n8,n5)+ | p(n2,n9,n5)+ | p(n3,n7,n5)+ | p(n3,n8,n5)+ | p(n3,n9,n5) )).++fof(axQ136,axiom,+ ( p(n1,n7,n6)+ | p(n1,n8,n6)+ | p(n1,n9,n6)+ | p(n2,n7,n6)+ | p(n2,n8,n6)+ | p(n2,n9,n6)+ | p(n3,n7,n6)+ | p(n3,n8,n6)+ | p(n3,n9,n6) )).++fof(axQ137,axiom,+ ( p(n1,n7,n7)+ | p(n1,n8,n7)+ | p(n1,n9,n7)+ | p(n2,n7,n7)+ | p(n2,n8,n7)+ | p(n2,n9,n7)+ | p(n3,n7,n7)+ | p(n3,n8,n7)+ | p(n3,n9,n7) )).++fof(axQ138,axiom,+ ( p(n1,n7,n8)+ | p(n1,n8,n8)+ | p(n1,n9,n8)+ | p(n2,n7,n8)+ | p(n2,n8,n8)+ | p(n2,n9,n8)+ | p(n3,n7,n8)+ | p(n3,n8,n8)+ | p(n3,n9,n8) )).++fof(axQ139,axiom,+ ( p(n1,n7,n9)+ | p(n1,n8,n9)+ | p(n1,n9,n9)+ | p(n2,n7,n9)+ | p(n2,n8,n9)+ | p(n2,n9,n9)+ | p(n3,n7,n9)+ | p(n3,n8,n9)+ | p(n3,n9,n9) )).++% QUADRAT 2,1++fof(axQ211,axiom,+ ( p(n4,n1,n1)+ | p(n4,n2,n1)+ | p(n4,n3,n1)+ | p(n5,n1,n1)+ | p(n5,n2,n1)+ | p(n5,n3,n1)+ | p(n6,n1,n1)+ | p(n6,n2,n1)+ | p(n6,n3,n1) )).++fof(axQ212,axiom,+ ( p(n4,n1,n2)+ | p(n4,n2,n2)+ | p(n4,n3,n2)+ | p(n5,n1,n2)+ | p(n5,n2,n2)+ | p(n5,n3,n2)+ | p(n6,n1,n2)+ | p(n6,n2,n2)+ | p(n6,n3,n2) )).++fof(axQ213,axiom,+ ( p(n4,n1,n3)+ | p(n4,n2,n3)+ | p(n4,n3,n3)+ | p(n5,n1,n3)+ | p(n5,n2,n3)+ | p(n5,n3,n3)+ | p(n6,n1,n3)+ | p(n6,n2,n3)+ | p(n6,n3,n3) )).++fof(axQ214,axiom,+ ( p(n4,n1,n4)+ | p(n4,n2,n4)+ | p(n4,n3,n4)+ | p(n5,n1,n4)+ | p(n5,n2,n4)+ | p(n5,n3,n4)+ | p(n6,n1,n4)+ | p(n6,n2,n4)+ | p(n6,n3,n4) )).++fof(axQ215,axiom,+ ( p(n4,n1,n5)+ | p(n4,n2,n5)+ | p(n4,n3,n5)+ | p(n5,n1,n5)+ | p(n5,n2,n5)+ | p(n5,n3,n5)+ | p(n6,n1,n5)+ | p(n6,n2,n5)+ | p(n6,n3,n5) )).++fof(axQ216,axiom,+ ( p(n4,n1,n6)+ | p(n4,n2,n6)+ | p(n4,n3,n6)+ | p(n5,n1,n6)+ | p(n5,n2,n6)+ | p(n5,n3,n6)+ | p(n6,n1,n6)+ | p(n6,n2,n6)+ | p(n6,n3,n6) )).++fof(axQ217,axiom,+ ( p(n4,n1,n7)+ | p(n4,n2,n7)+ | p(n4,n3,n7)+ | p(n5,n1,n7)+ | p(n5,n2,n7)+ | p(n5,n3,n7)+ | p(n6,n1,n7)+ | p(n6,n2,n7)+ | p(n6,n3,n7) )).++fof(axQ218,axiom,+ ( p(n4,n1,n8)+ | p(n4,n2,n8)+ | p(n4,n3,n8)+ | p(n5,n1,n8)+ | p(n5,n2,n8)+ | p(n5,n3,n8)+ | p(n6,n1,n8)+ | p(n6,n2,n8)+ | p(n6,n3,n8) )).++fof(axQ219,axiom,+ ( p(n4,n1,n9)+ | p(n4,n2,n9)+ | p(n4,n3,n9)+ | p(n5,n1,n9)+ | p(n5,n2,n9)+ | p(n5,n3,n9)+ | p(n6,n1,n9)+ | p(n6,n2,n9)+ | p(n6,n3,n9) )).++% QUADRAT 2,2++fof(axQ221,axiom,+ ( p(n4,n4,n1)+ | p(n4,n5,n1)+ | p(n4,n6,n1)+ | p(n5,n4,n1)+ | p(n5,n5,n1)+ | p(n5,n6,n1)+ | p(n6,n4,n1)+ | p(n6,n5,n1)+ | p(n6,n6,n1) )).++fof(axQ222,axiom,+ ( p(n4,n4,n2)+ | p(n4,n5,n2)+ | p(n4,n6,n2)+ | p(n5,n4,n2)+ | p(n5,n5,n2)+ | p(n5,n6,n2)+ | p(n6,n4,n2)+ | p(n6,n5,n2)+ | p(n6,n6,n2) )).++fof(axQ223,axiom,+ ( p(n4,n4,n3)+ | p(n4,n5,n3)+ | p(n4,n6,n3)+ | p(n5,n4,n3)+ | p(n5,n5,n3)+ | p(n5,n6,n3)+ | p(n6,n4,n3)+ | p(n6,n5,n3)+ | p(n6,n6,n3) )).++fof(axQ224,axiom,+ ( p(n4,n4,n4)+ | p(n4,n5,n4)+ | p(n4,n6,n4)+ | p(n5,n4,n4)+ | p(n5,n5,n4)+ | p(n5,n6,n4)+ | p(n6,n4,n4)+ | p(n6,n5,n4)+ | p(n6,n6,n4) )).++fof(axQ225,axiom,+ ( p(n4,n4,n5)+ | p(n4,n5,n5)+ | p(n4,n6,n5)+ | p(n5,n4,n5)+ | p(n5,n5,n5)+ | p(n5,n6,n5)+ | p(n6,n4,n5)+ | p(n6,n5,n5)+ | p(n6,n6,n5) )).++fof(axQ226,axiom,+ ( p(n4,n4,n6)+ | p(n4,n5,n6)+ | p(n4,n6,n6)+ | p(n5,n4,n6)+ | p(n5,n5,n6)+ | p(n5,n6,n6)+ | p(n6,n4,n6)+ | p(n6,n5,n6)+ | p(n6,n6,n6) )).++fof(axQ227,axiom,+ ( p(n4,n4,n7)+ | p(n4,n5,n7)+ | p(n4,n6,n7)+ | p(n5,n4,n7)+ | p(n5,n5,n7)+ | p(n5,n6,n7)+ | p(n6,n4,n7)+ | p(n6,n5,n7)+ | p(n6,n6,n7) )).++fof(axQ228,axiom,+ ( p(n4,n4,n8)+ | p(n4,n5,n8)+ | p(n4,n6,n8)+ | p(n5,n4,n8)+ | p(n5,n5,n8)+ | p(n5,n6,n8)+ | p(n6,n4,n8)+ | p(n6,n5,n8)+ | p(n6,n6,n8) )).++fof(axQ229,axiom,+ ( p(n4,n4,n9)+ | p(n4,n5,n9)+ | p(n4,n6,n9)+ | p(n5,n4,n9)+ | p(n5,n5,n9)+ | p(n5,n6,n9)+ | p(n6,n4,n9)+ | p(n6,n5,n9)+ | p(n6,n6,n9) )).++% QUADRAT 2,3++fof(axQ231,axiom,+ ( p(n4,n7,n1)+ | p(n4,n8,n1)+ | p(n4,n9,n1)+ | p(n5,n7,n1)+ | p(n5,n8,n1)+ | p(n5,n9,n1)+ | p(n6,n7,n1)+ | p(n6,n8,n1)+ | p(n6,n9,n1) )).++fof(axQ232,axiom,+ ( p(n4,n7,n2)+ | p(n4,n8,n2)+ | p(n4,n9,n2)+ | p(n5,n7,n2)+ | p(n5,n8,n2)+ | p(n5,n9,n2)+ | p(n6,n7,n2)+ | p(n6,n8,n2)+ | p(n6,n9,n2) )).++fof(axQ233,axiom,+ ( p(n4,n7,n3)+ | p(n4,n8,n3)+ | p(n4,n9,n3)+ | p(n5,n7,n3)+ | p(n5,n8,n3)+ | p(n5,n9,n3)+ | p(n6,n7,n3)+ | p(n6,n8,n3)+ | p(n6,n9,n3) )).++fof(axQ234,axiom,+ ( p(n4,n7,n4)+ | p(n4,n8,n4)+ | p(n4,n9,n4)+ | p(n5,n7,n4)+ | p(n5,n8,n4)+ | p(n5,n9,n4)+ | p(n6,n7,n4)+ | p(n6,n8,n4)+ | p(n6,n9,n4) )).++fof(axQ235,axiom,+ ( p(n4,n7,n5)+ | p(n4,n8,n5)+ | p(n4,n9,n5)+ | p(n5,n7,n5)+ | p(n5,n8,n5)+ | p(n5,n9,n5)+ | p(n6,n7,n5)+ | p(n6,n8,n5)+ | p(n6,n9,n5) )).++fof(axQ236,axiom,+ ( p(n4,n7,n6)+ | p(n4,n8,n6)+ | p(n4,n9,n6)+ | p(n5,n7,n6)+ | p(n5,n8,n6)+ | p(n5,n9,n6)+ | p(n6,n7,n6)+ | p(n6,n8,n6)+ | p(n6,n9,n6) )).++fof(axQ237,axiom,+ ( p(n4,n7,n7)+ | p(n4,n8,n7)+ | p(n4,n9,n7)+ | p(n5,n7,n7)+ | p(n5,n8,n7)+ | p(n5,n9,n7)+ | p(n6,n7,n7)+ | p(n6,n8,n7)+ | p(n6,n9,n7) )).++fof(axQ238,axiom,+ ( p(n4,n7,n8)+ | p(n4,n8,n8)+ | p(n4,n9,n8)+ | p(n5,n7,n8)+ | p(n5,n8,n8)+ | p(n5,n9,n8)+ | p(n6,n7,n8)+ | p(n6,n8,n8)+ | p(n6,n9,n8) )).++fof(axQ239,axiom,+ ( p(n4,n7,n9)+ | p(n4,n8,n9)+ | p(n4,n9,n9)+ | p(n5,n7,n9)+ | p(n5,n8,n9)+ | p(n5,n9,n9)+ | p(n6,n7,n9)+ | p(n6,n8,n9)+ | p(n6,n9,n9) )).++% QUADRAT 3,1++fof(axQ311,axiom,+ ( p(n7,n1,n1)+ | p(n7,n2,n1)+ | p(n7,n3,n1)+ | p(n8,n1,n1)+ | p(n8,n2,n1)+ | p(n8,n3,n1)+ | p(n9,n1,n1)+ | p(n9,n2,n1)+ | p(n9,n3,n1) )).++fof(axQ312,axiom,+ ( p(n7,n1,n2)+ | p(n7,n2,n2)+ | p(n7,n3,n2)+ | p(n8,n1,n2)+ | p(n8,n2,n2)+ | p(n8,n3,n2)+ | p(n9,n1,n2)+ | p(n9,n2,n2)+ | p(n9,n3,n2) )).++fof(axQ313,axiom,+ ( p(n7,n1,n3)+ | p(n7,n2,n3)+ | p(n7,n3,n3)+ | p(n8,n1,n3)+ | p(n8,n2,n3)+ | p(n8,n3,n3)+ | p(n9,n1,n3)+ | p(n9,n2,n3)+ | p(n9,n3,n3) )).++fof(axQ314,axiom,+ ( p(n7,n1,n4)+ | p(n7,n2,n4)+ | p(n7,n3,n4)+ | p(n8,n1,n4)+ | p(n8,n2,n4)+ | p(n8,n3,n4)+ | p(n9,n1,n4)+ | p(n9,n2,n4)+ | p(n9,n3,n4) )).++fof(axQ315,axiom,+ ( p(n7,n1,n5)+ | p(n7,n2,n5)+ | p(n7,n3,n5)+ | p(n8,n1,n5)+ | p(n8,n2,n5)+ | p(n8,n3,n5)+ | p(n9,n1,n5)+ | p(n9,n2,n5)+ | p(n9,n3,n5) )).++fof(axQ316,axiom,+ ( p(n7,n1,n6)+ | p(n7,n2,n6)+ | p(n7,n3,n6)+ | p(n8,n1,n6)+ | p(n8,n2,n6)+ | p(n8,n3,n6)+ | p(n9,n1,n6)+ | p(n9,n2,n6)+ | p(n9,n3,n6) )).++fof(axQ317,axiom,+ ( p(n7,n1,n7)+ | p(n7,n2,n7)+ | p(n7,n3,n7)+ | p(n8,n1,n7)+ | p(n8,n2,n7)+ | p(n8,n3,n7)+ | p(n9,n1,n7)+ | p(n9,n2,n7)+ | p(n9,n3,n7) )).++fof(axQ318,axiom,+ ( p(n7,n1,n8)+ | p(n7,n2,n8)+ | p(n7,n3,n8)+ | p(n8,n1,n8)+ | p(n8,n2,n8)+ | p(n8,n3,n8)+ | p(n9,n1,n8)+ | p(n9,n2,n8)+ | p(n9,n3,n8) )).++fof(axQ319,axiom,+ ( p(n7,n1,n9)+ | p(n7,n2,n9)+ | p(n7,n3,n9)+ | p(n8,n1,n9)+ | p(n8,n2,n9)+ | p(n8,n3,n9)+ | p(n9,n1,n9)+ | p(n9,n2,n9)+ | p(n9,n3,n9) )).++% QUADRAT 3,2++fof(axQ321,axiom,+ ( p(n7,n4,n1)+ | p(n7,n5,n1)+ | p(n7,n6,n1)+ | p(n8,n4,n1)+ | p(n8,n5,n1)+ | p(n8,n6,n1)+ | p(n9,n4,n1)+ | p(n9,n5,n1)+ | p(n9,n6,n1) )).++fof(axQ322,axiom,+ ( p(n7,n4,n2)+ | p(n7,n5,n2)+ | p(n7,n6,n2)+ | p(n8,n4,n2)+ | p(n8,n5,n2)+ | p(n8,n6,n2)+ | p(n9,n4,n2)+ | p(n9,n5,n2)+ | p(n9,n6,n2) )).++fof(axQ323,axiom,+ ( p(n7,n4,n3)+ | p(n7,n5,n3)+ | p(n7,n6,n3)+ | p(n8,n4,n3)+ | p(n8,n5,n3)+ | p(n8,n6,n3)+ | p(n9,n4,n3)+ | p(n9,n5,n3)+ | p(n9,n6,n3) )).++fof(axQ324,axiom,+ ( p(n7,n4,n4)+ | p(n7,n5,n4)+ | p(n7,n6,n4)+ | p(n8,n4,n4)+ | p(n8,n5,n4)+ | p(n8,n6,n4)+ | p(n9,n4,n4)+ | p(n9,n5,n4)+ | p(n9,n6,n4) )).++fof(axQ325,axiom,+ ( p(n7,n4,n5)+ | p(n7,n5,n5)+ | p(n7,n6,n5)+ | p(n8,n4,n5)+ | p(n8,n5,n5)+ | p(n8,n6,n5)+ | p(n9,n4,n5)+ | p(n9,n5,n5)+ | p(n9,n6,n5) )).++fof(axQ326,axiom,+ ( p(n7,n4,n6)+ | p(n7,n5,n6)+ | p(n7,n6,n6)+ | p(n8,n4,n6)+ | p(n8,n5,n6)+ | p(n8,n6,n6)+ | p(n9,n4,n6)+ | p(n9,n5,n6)+ | p(n9,n6,n6) )).++fof(axQ327,axiom,+ ( p(n7,n4,n7)+ | p(n7,n5,n7)+ | p(n7,n6,n7)+ | p(n8,n4,n7)+ | p(n8,n5,n7)+ | p(n8,n6,n7)+ | p(n9,n4,n7)+ | p(n9,n5,n7)+ | p(n9,n6,n7) )).++fof(axQ328,axiom,+ ( p(n7,n4,n8)+ | p(n7,n5,n8)+ | p(n7,n6,n8)+ | p(n8,n4,n8)+ | p(n8,n5,n8)+ | p(n8,n6,n8)+ | p(n9,n4,n8)+ | p(n9,n5,n8)+ | p(n9,n6,n8) )).++fof(axQ329,axiom,+ ( p(n7,n4,n9)+ | p(n7,n5,n9)+ | p(n7,n6,n9)+ | p(n8,n4,n9)+ | p(n8,n5,n9)+ | p(n8,n6,n9)+ | p(n9,n4,n9)+ | p(n9,n5,n9)+ | p(n9,n6,n9) )).++% QUADRAT 3,3++fof(axQ331,axiom,+ ( p(n7,n7,n1)+ | p(n7,n8,n1)+ | p(n7,n9,n1)+ | p(n8,n7,n1)+ | p(n8,n8,n1)+ | p(n8,n9,n1)+ | p(n9,n7,n1)+ | p(n9,n8,n1)+ | p(n9,n9,n1) )).++fof(axQ332,axiom,+ ( p(n7,n7,n2)+ | p(n7,n8,n2)+ | p(n7,n9,n2)+ | p(n8,n7,n2)+ | p(n8,n8,n2)+ | p(n8,n9,n2)+ | p(n9,n7,n2)+ | p(n9,n8,n2)+ | p(n9,n9,n2) )).++fof(axQ333,axiom,+ ( p(n7,n7,n3)+ | p(n7,n8,n3)+ | p(n7,n9,n3)+ | p(n8,n7,n3)+ | p(n8,n8,n3)+ | p(n8,n9,n3)+ | p(n9,n7,n3)+ | p(n9,n8,n3)+ | p(n9,n9,n3) )).++fof(axQ334,axiom,+ ( p(n7,n7,n4)+ | p(n7,n8,n4)+ | p(n7,n9,n4)+ | p(n8,n7,n4)+ | p(n8,n8,n4)+ | p(n8,n9,n4)+ | p(n9,n7,n4)+ | p(n9,n8,n4)+ | p(n9,n9,n4) )).++fof(axQ335,axiom,+ ( p(n7,n7,n5)+ | p(n7,n8,n5)+ | p(n7,n9,n5)+ | p(n8,n7,n5)+ | p(n8,n8,n5)+ | p(n8,n9,n5)+ | p(n9,n7,n5)+ | p(n9,n8,n5)+ | p(n9,n9,n5) )).++fof(axQ336,axiom,+ ( p(n7,n7,n6)+ | p(n7,n8,n6)+ | p(n7,n9,n6)+ | p(n8,n7,n6)+ | p(n8,n8,n6)+ | p(n8,n9,n6)+ | p(n9,n7,n6)+ | p(n9,n8,n6)+ | p(n9,n9,n6) )).++fof(axQ337,axiom,+ ( p(n7,n7,n7)+ | p(n7,n8,n7)+ | p(n7,n9,n7)+ | p(n8,n7,n7)+ | p(n8,n8,n7)+ | p(n8,n9,n7)+ | p(n9,n7,n7)+ | p(n9,n8,n7)+ | p(n9,n9,n7) )).++fof(axQ338,axiom,+ ( p(n7,n7,n8)+ | p(n7,n8,n8)+ | p(n7,n9,n8)+ | p(n8,n7,n8)+ | p(n8,n8,n8)+ | p(n8,n9,n8)+ | p(n9,n7,n8)+ | p(n9,n8,n8)+ | p(n9,n9,n8) )).++fof(axQ339,axiom,+ ( p(n7,n7,n9)+ | p(n7,n8,n9)+ | p(n7,n9,n9)+ | p(n8,n7,n9)+ | p(n8,n8,n9)+ | p(n8,n9,n9)+ | p(n9,n7,n9)+ | p(n9,n8,n9)+ | p(n9,n9,n9) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/REL001+0.ax view
@@ -0,0 +1,71 @@+%------------------------------------------------------------------------------+% File : REL001+0 : TPTP v7.2.0. Released v3.6.0.+% Domain : Relation Algebra+% Axioms : Relation Algebra+% Version : [Hoe08] axioms.+% English :++% Refs : [Mad95] Maddux, R. (1995), Relation-algebraic semantics+% : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Source : [Hoe08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 13 ( 13 unit)+% Number of atoms : 13 ( 13 equality)+% Maximal formula depth : 4 ( 3 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 8 ( 3 constant; 0-2 arity)+% Number of variables : 25 ( 0 singleton; 25 !; 0 ?)+% Maximal term depth : 5 ( 3 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Definition of Boolean algebra a la Maddux+fof(maddux1_join_commutativity,axiom,(+ ! [X0,X1] : join(X0,X1) = join(X1,X0) )).++fof(maddux2_join_associativity,axiom,(+ ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) )).++fof(maddux3_a_kind_of_de_Morgan,axiom,(+ ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) )).++fof(maddux4_definiton_of_meet,axiom,(+ ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) )).++%----Definition of Sequential Composition+fof(composition_associativity,axiom,(+ ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) )).++fof(composition_identity,axiom,(+ ! [X0] : composition(X0,one) = X0 )).++fof(composition_distributivity,axiom,(+ ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) )).++%----Definition of Converse+fof(converse_idempotence,axiom,(+ ! [X0] : converse(converse(X0)) = X0 )).++fof(converse_additivity,axiom,(+ ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) )).++fof(converse_multiplicativity,axiom,(+ ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) )).++fof(converse_cancellativity,axiom,(+ ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) )).++%---Definition of Identities (greatest and smallest element)+fof(def_top,axiom,(+ ! [X0] : top = join(X0,complement(X0)) )).++fof(def_zero,axiom,(+ ! [X0] : zero = meet(X0,complement(X0)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/REL001+1.ax view
@@ -0,0 +1,38 @@+%------------------------------------------------------------------------------+% File : REL001+1 : TPTP v7.2.0. Released v3.6.0.+% Domain : Relation Algebra+% Axioms : Dedkind and two modular laws+% Version : [Hoe08] axioms.+% English :++% Refs : [Mad95] Maddux, R. (1995), Relation-algebraic semantics+% : [Hoe08] Hoefner (2008), Email to G. Sutcliffe+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 3 ( 3 unit)+% Number of atoms : 3 ( 3 equality)+% Maximal formula depth : 4 ( 4 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 1 ( 0 propositional; 2-2 arity)+% Number of functors : 4 ( 0 constant; 1-2 arity)+% Number of variables : 9 ( 0 singleton; 9 !; 0 ?)+% Maximal term depth : 7 ( 6 average)+% SPC : ++% Comments : Requires REL001+0.ax+%------------------------------------------------------------------------------+%---Dedekind law+fof(dedekind_law,axiom,(+ ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) )).++%---modular laws+fof(modular_law_1,axiom,(+ ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) )).++fof(modular_law_2,axiom,(+ ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SET005+0.ax view
@@ -0,0 +1,369 @@+%--------------------------------------------------------------------------+% File : SET005+0 : TPTP v7.2.0. Bugfixed v5.4.0.+% Domain : Set Theory+% Axioms : Set theory axioms based on NBG set theory+% Version : [Quaife, 1992] axioms : Reduced & Augmented > Complete.+% English :++% Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern+% : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:+% Source : [Qua92]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 43 ( 16 unit)+% Number of atoms : 100 ( 19 equality)+% Maximal formula depth : 7 ( 4 average)+% Number of connectives : 62 ( 5 ~; 3 |; 26 &)+% ( 19 <=>; 9 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 6 ( 0 propositional; 1-2 arity)+% Number of functors : 26 ( 5 constant; 0-3 arity)+% Number of variables : 86 ( 0 sgn; 81 !; 5 ?)+% Maximal term depth : 4 ( 1 average)+% SPC : ++% Comments :+% Bugfixes : v5.4.0 - Fixed compose_defn2, added first_second, added+% identity_relation.+%--------------------------------------------------------------------------+%----Axiom A-1: Sets are classes (omitted because all objects are+%----classes).+% input_formula(sets_are_classes,axiom,+% ! [X] :+% (m(X) => cls(X))).++%----Definition of subclass. By doing this early, following axioms are+%----simplified. See A-2 for a clear example. This is what Mendelson does.+fof(subclass_defn,axiom,+ ( ! [X,Y] :+ ( subclass(X,Y)+ <=> ! [U] :+ ( member(U,X)+ => member(U,Y) ) ) )).++%----Axiom A-2: Elements of classes are sets.+fof(class_elements_are_sets,axiom,+ ( ! [X] : subclass(X,universal_class) )).++%----Axiom A-3: Principle of extensionality. Quaife notes that this is+%----different from the Boyer version. It is the Mendelson version.+fof(extensionality,axiom,+ ( ! [X,Y] :+ ( X = Y+ <=> ( subclass(X,Y)+ & subclass(Y,X) ) ) )).++%----Axiom A-4: Existence of unordered pair+fof(unordered_pair_defn,axiom,+ ( ! [U,X,Y] :+ ( member(U,unordered_pair(X,Y))+ <=> ( member(U,universal_class)+ & ( U = X+ | U = Y ) ) ) )).++%----Quaife says "if I were to do it again I'd use ..."+%----McCune recommends not doing this, so I havn't+% input_formula(unordered_pair1,axiom,(+% ! [U,X,Y] :+% ( member(U,unordered_pair(X,Y))+% <=> ( member(U,universal_class)+% & ( equal(U,X)+% | member(U,Y) ) ) ) )).++fof(unordered_pair,axiom,+ ( ! [X,Y] : member(unordered_pair(X,Y),universal_class) )).++%----Definition of singleton set, needed for ordered pair.+fof(singleton_set_defn,axiom,+ ( ! [X] : singleton(X) = unordered_pair(X,X) )).++%----Definition of ordered pair, needed for B-5+fof(ordered_pair_defn,axiom,+ ( ! [X,Y] : ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) )).++%----This is different from Goedel where it is+% input_formula(ordered_pair,axiom,(+% ! [X,Y] : equal(ordered_pair(X,Y),unordered_pair(singleton(X),+% unordered_pair(X,Y))) )).+%----This is motivated in Quaife's book p. 30 Section 3.5.++%----Axiom B-5: Cartesian product (not explicitly defined in Goedel)+%----Brought forward so cross_product can be used in B-1+%----In this and some other axioms, Goedel's axioms use existential+%----quantification rather than explicit definition.+fof(cross_product_defn,axiom,+ ( ! [U,V,X,Y] :+ ( member(ordered_pair(U,V),cross_product(X,Y))+ <=> ( member(U,X)+ & member(V,Y) ) ) )).++%----Added axiom to define first and second, which are introduced as Skolem+%----functions in the CNF versions of theorem OP6.+fof(first_second,axiom,+ ! [X,Y] :+ ( ( member(X,universal_class)+ & member(Y,universal_class) )+ => ( first(ordered_pair(X,Y)) = X+ & second(ordered_pair(X,Y)) = Y ) ) ).++fof(cross_product,axiom,+ ( ! [X,Y,Z] :+ ( member(Z,cross_product(X,Y))+ => Z = ordered_pair(first(Z),second(Z)) ) )).++%----Axiom B-1: Element relation (not explicitly defined in Goedel)+%----This is an example of undoing a simplification made by Quaife for+%----CNF systems (see book p. 28, Section 3.4).+fof(element_relation_defn,axiom,+ ( ! [X,Y] :+ ( member(ordered_pair(X,Y),element_relation)+ <=> ( member(Y,universal_class)+ & member(X,Y) ) ) )).++%----Quaife's version included member(X,universal_class) in the RHS of the+%----<=>, but that's not required as member(X,Y) => member(X,universal_class)+%----The equiavlence of the two forms has been proved.++fof(element_relation,axiom,+ ( subclass(element_relation,cross_product(universal_class,universal_class)) )).++%----Axiom B-2: Intersection (not explicitly defined in Goedel)+fof(intersection,axiom,+ ( ! [X,Y,Z] :+ ( member(Z,intersection(X,Y))+ <=> ( member(Z,X)+ & member(Z,Y) ) ) )).++%----Axiom B-3: Complement (not explicitly defined in Goedel)+fof(complement,axiom,+ ( ! [X,Z] :+ ( member(Z,complement(X))+ <=> ( member(Z,universal_class)+ & ~ member(Z,X) ) ) )).++%----Quaife has the definitions for union and symmetric difference in here+%----(about). I have moved union to later where it is needed. Symmetric+%----difference is not needed for Goedel's axioms, so I have moved it to+%----SET005+1.ax++%----Definition of restrict. Needed for B-4 domain_of+fof(restrict_defn,axiom,+ ( ! [X,XR,Y] : restrict(XR,X,Y) = intersection(XR,cross_product(X,Y)) )).++%----Definition of null_class. Needed for B-4 domain_of+%----This is dependent, but Plaisted says it's unreasonable to omit it.+fof(null_class_defn,axiom,+ ( ! [X] : ~ member(X,null_class) )).++%----Axiom B-4: Domain of (not explicitly defined in Goedel)+fof(domain_of,axiom,+ ( ! [X,Z] :+ ( member(Z,domain_of(X))+ <=> ( member(Z,universal_class)+ & restrict(X,singleton(Z),universal_class) != null_class ) ) )).++%----Axiom B-5 is earlier as it defines cross_product, used in B-1+%----Axiom B-6 is proved as a theorem++%----Axiom B-7: Existence of rotate (not explicitly defined in Goedel)+fof(rotate_defn,axiom,+ ( ! [X,U,V,W] :+ ( member(ordered_pair(ordered_pair(U,V),W),rotate(X))+ <=> ( member(ordered_pair(ordered_pair(U,V),W),cross_product(cross_product(universal_class,universal_class),universal_class))+ & member(ordered_pair(ordered_pair(V,W),U),X) ) ) )).++fof(rotate,axiom,+ ( ! [X] : subclass(rotate(X),cross_product(cross_product(universal_class,universal_class),universal_class)) )).++%----Axiom B-8: Existence of flip (not explicitly defined in Goedel)+fof(flip_defn,axiom,+ ( ! [U,V,W,X] :+ ( member(ordered_pair(ordered_pair(U,V),W),flip(X))+ <=> ( member(ordered_pair(ordered_pair(U,V),W),cross_product(cross_product(universal_class,universal_class),universal_class))+ & member(ordered_pair(ordered_pair(V,U),W),X) ) ) )).++fof(flip,axiom,+ ( ! [X] : subclass(flip(X),cross_product(cross_product(universal_class,universal_class),universal_class)) )).++%----I have removed the definitions of range and domain to SET005+1+%----as they are not needed for Goedel's axioms.++%----Plaisted's definition of union. Needed for successor+fof(union_defn,axiom,+ ( ! [X,Y,Z] :+ ( member(Z,union(X,Y))+ <=> ( member(Z,X)+ | member(Z,Y) ) ) )).++%----This is Quaife's original definition of union, which David Plaisted+%----suggested is unnatural ...+% input_formula(union_defn_quaife,axiom,(+% ! [X,Y] : equal(union(X,Y),complement(intersection(complement(X),+% complement(Y)))) )).+%----Quaife's definition can be shown equivalent Plaisted's by showing each is+%----equivalent to this one ...+% input_formula(union_defn_geoff,axiom,(+% ! [X,Y,Z] :+% ( member(Z,union(X,Y))+% <=> member(Z,complement(intersection(complement(X),complement(Y))))) )).+%----as an intermediate++%----Definition of successor. Needed for successor_relation+fof(successor_defn,axiom,+ ( ! [X] : successor(X) = union(X,singleton(X)) )).++%----Definition of successor_relation. Needed for inductive.+fof(successor_relation_defn1,axiom,+ ( subclass(successor_relation,cross_product(universal_class,universal_class)) )).++%----This undoes the Quaife simplification from book p.28 Section 3.4+fof(successor_relation_defn2,axiom,+ ( ! [X,Y] :+ ( member(ordered_pair(X,Y),successor_relation)+ <=> ( member(X,universal_class)+ & member(Y,universal_class)+ & successor(X) = Y ) ) )).++%----Definition of inverse (not explicitly defined in Goedel)+%----Needed for range_of+fof(inverse_defn,axiom,+ ( ! [Y] : inverse(Y) = domain_of(flip(cross_product(Y,universal_class))) )).++%----Definition of range_of. Needed for image.+fof(range_of_defn,axiom,+ ( ! [Z] : range_of(Z) = domain_of(inverse(Z)) )).++%----Definition of image. Needed for inductive.+fof(image_defn,axiom,+ ( ! [X,XR] : image(XR,X) = range_of(restrict(XR,X,universal_class)) )).++%----Definition of inductive. Needed for C-1: Infinity+fof(inductive_defn,axiom,+ ( ! [X] :+ ( inductive(X)+ <=> ( member(null_class,X)+ & subclass(image(successor_relation,X),X) ) ) )).++%----Axiom C-1: Infinity+fof(infinity,axiom,+ ( ? [X] :+ ( member(X,universal_class)+ & inductive(X)+ & ! [Y] :+ ( inductive(Y)+ => subclass(X,Y) ) ) )).++%----Axiom C-2: Sum_class (not explicitly defined in Goedel)+fof(sum_class_defn,axiom,+ ( ! [U,X] :+ ( member(U,sum_class(X))+ <=> ? [Y] :+ ( member(U,Y)+ & member(Y,X) ) ) )).++%----Here is Quaife's original definition of sum_class, which David Plaisted+%----suggested is unnatural ...+%input_formula(sum_class_defn,axiom,(+% ! [X] : equal(sum_class(X),domain_of(restrict(element_relation,+%universal_class,X))) )).+%----Yunshan Zhu's sum class definition above has been shown equivalent to+%----the original by a longish sequence of equivalences. Boyer et al. also+%----use (a more complicated version of) the above definition.++fof(sum_class,axiom,+ ( ! [X] :+ ( member(X,universal_class)+ => member(sum_class(X),universal_class) ) )).++%----Axiom C-3: Existence of power_class (not explicitly defined in Goedel)+fof(power_class_defn,axiom,+ ( ! [U,X] :+ ( member(U,power_class(X))+ <=> ( member(U,universal_class)+ & subclass(U,X) ) ) )).++%----Here is Quaife's original definition of power_class, which David Plaisted+%----suggested is unnatural ...+%input_formula(power_class_defn,axiom,(+% ! [X] : equal(power_class(X),complement(image(element_relation,+%complement(X)))) )).++fof(power_class,axiom,+ ( ! [U] :+ ( member(U,universal_class)+ => member(power_class(U),universal_class) ) )).++%----Definition of compose. Needed for function+fof(compose_defn1,axiom,+ ( ! [XR,YR] : subclass(compose(YR,XR),cross_product(universal_class,universal_class)) )).++%----This undoes the Quaife simplification from book p.28 Section 3.4, and+%----then simplifies that by removing a member(V,universal_class) from the RHS+fof(compose_defn2,axiom,+ ( ! [XR,YR,U,V] :+ ( member(ordered_pair(U,V),compose(YR,XR))+ <=> ( member(U,universal_class)+ & member(V,image(YR,image(XR,singleton(U)))) ) ) )).++%----Definition of single_valued_class. Needed for function+%----Quaife suggests not using this, in his book p.35+%input_formula(single_valued_class_defn,axiom,(+% ! [X] :+% ( single_valued_class(X)+% <=> subclass(compose(X,inverse(X)),identity_relation) ) )).++%----Added definition of identity_relation (missing from Quaife)+fof(identity_relation,axiom,+ ! [Z] :+ ( member(Z,identity_relation)+ <=> ? [X] :+ ( member(X,universal_class)+ & Z = ordered_pair(X,X) ) ) ).++%----Definition of function. Needed for C-4: replacement+fof(function_defn,axiom,+ ( ! [XF] :+ ( function(XF)+ <=> ( subclass(XF,cross_product(universal_class,universal_class))+ & subclass(compose(XF,inverse(XF)),identity_relation) ) ) )).++%----Axiom C-4: Replacement+fof(replacement,axiom,+ ( ! [X,XF] :+ ( ( member(X,universal_class)+ & function(XF) )+ => member(image(XF,X),universal_class) ) )).++%----Definition of disjoint. This is omitted by Quaife+fof(disjoint_defn,axiom,+ ( ! [X,Y] :+ ( disjoint(X,Y)+ <=> ! [U] : ~ ( member(U,X)+ & member(U,Y) ) ) )).++%----Axiom D: Regularity+%----This also provides a definition of the null_class of the form+%----! [X] : ( equal(X,null_class) <= ! [U] : ~ member(U,X) )+fof(regularity,axiom,+ ( ! [X] :+ ( X != null_class+ => ? [U] :+ ( member(U,universal_class)+ & member(U,X)+ & disjoint(U,X) ) ) )).++%----Definition of apply. Needed for universal choice+fof(apply_defn,axiom,+ ( ! [XF,Y] : apply(XF,Y) = sum_class(image(XF,singleton(Y))) )).++%----Axiom E: Universal choice+fof(choice,axiom,+ ( ? [XF] :+ ( function(XF)+ & ! [Y] :+ ( member(Y,universal_class)+ => ( Y = null_class+ | member(apply(XF,Y),Y) ) ) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/SET006+0.ax view
@@ -0,0 +1,92 @@+%------------------------------------------------------------------------------+% File : SET006+0 : TPTP v7.2.0. Released v2.2.0.+% Domain : Set Theory+% Axioms : Naive set theory based on Goedel's set theory+% Version : [Pas99] axioms.+% English :++% Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe+% Source : [Pas99]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 11 ( 1 unit)+% Number of atoms : 29 ( 3 equality)+% Maximal formula depth : 7 ( 5 average)+% Number of connectives : 20 ( 2 ~ ; 2 |; 4 &)+% ( 10 <=>; 2 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 4 ( 0 propositional; 2-2 arity)+% Number of functors : 9 ( 1 constant; 0-2 arity)+% Number of variables : 28 ( 0 singleton; 27 !; 1 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Axioms of operations on sets+fof(subset,axiom,+ ( ! [A,B] :+ ( subset(A,B)+ <=> ! [X] :+ ( member(X,A)+ => member(X,B) ) ) )).++fof(equal_set,axiom,+ ( ! [A,B] :+ ( equal_set(A,B)+ <=> ( subset(A,B)+ & subset(B,A) ) ) )).++fof(power_set,axiom,+ ( ! [X,A] :+ ( member(X,power_set(A))+ <=> subset(X,A) ) )).++fof(intersection,axiom,+ ( ! [X,A,B] :+ ( member(X,intersection(A,B))+ <=> ( member(X,A)+ & member(X,B) ) ) )).++fof(union,axiom,+ ( ! [X,A,B] :+ ( member(X,union(A,B))+ <=> ( member(X,A)+ | member(X,B) ) ) )).++fof(empty_set,axiom,+ ( ! [X] : ~ member(X,empty_set) )).++fof(difference,axiom,+ ( ! [B,A,E] :+ ( member(B,difference(E,A))+ <=> ( member(B,E)+ & ~ member(B,A) ) ) )).++fof(singleton,axiom,+ ( ! [X,A] :+ ( member(X,singleton(A))+ <=> X = A ) )).++fof(unordered_pair,axiom,+ ( ! [X,A,B] :+ ( member(X,unordered_pair(A,B))+ <=> ( X = A+ | X = B ) ) )).++fof(sum,axiom,+ ( ! [X,A] :+ ( member(X,sum(A))+ <=> ? [Y] :+ ( member(Y,A)+ & member(X,Y) ) ) )).++fof(product,axiom,+ ( ! [X,A] :+ ( member(X,product(A))+ <=> ! [Y] :+ ( member(Y,A)+ => member(X,Y) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SET006+1.ax view
@@ -0,0 +1,198 @@+%--------------------------------------------------------------------------+% File : SET006+1 : TPTP v7.2.0. Bugfixed v2.2.1.+% Domain : Set Theory+% Axioms : Mapping axioms for the SET006+0 set theory axioms+% Version : [Pas99] axioms.+% English :++% Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe+% Source : [Pas99]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 17 ( 0 unit)+% Number of atoms : 99 ( 3 equality)+% Maximal formula depth : 19 ( 11 average)+% Number of connectives : 82 ( 0 ~ ; 0 |; 46 &)+% ( 20 <=>; 16 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 14 ( 0 propositional; 2-6 arity)+% Number of functors : 6 ( 0 constant; 2-5 arity)+% Number of variables : 105 ( 0 singleton; 97 !; 8 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires SET006+0.ax+% Bugfixes : v2.2.1 - compose_function and inverse_function fixed.+%--------------------------------------------------------------------------+%----Axiom and properties of mappings+fof(maps,axiom,+ ( ! [F,A,B] :+ ( maps(F,A,B)+ <=> ( ! [X] :+ ( member(X,A)+ => ? [Y] :+ ( member(Y,B)+ & apply(F,X,Y) ) )+ & ! [X,Y1,Y2] :+ ( ( member(X,A)+ & member(Y1,B)+ & member(Y2,B) )+ => ( ( apply(F,X,Y1)+ & apply(F,X,Y2) )+ => Y1 = Y2 ) ) ) ) )).++fof(compose_predicate,axiom,+ ( ! [H,G,F,A,B,C] :+ ( compose_predicate(H,G,F,A,B,C)+ <=> ! [X,Z] :+ ( ( member(X,A)+ & member(Z,C) )+ => ( apply(H,X,Z)+ <=> ? [Y] :+ ( member(Y,B)+ & apply(F,X,Y)+ & apply(G,Y,Z) ) ) ) ) )).++fof(compose_function,axiom,+ ( ! [G,F,A,B,C,X,Z] :+ ( ( member(X,A)+ & member(Z,C) )+ => ( apply(compose_function(G,F,A,B,C),X,Z)+ <=> ? [Y] :+ ( member(Y,B)+ & apply(F,X,Y)+ & apply(G,Y,Z) ) ) ) )).++fof(equal_maps,axiom,+ ( ! [F,G,A,B] :+ ( equal_maps(F,G,A,B)+ <=> ! [X,Y1,Y2] :+ ( ( member(X,A)+ & member(Y1,B)+ & member(Y2,B) )+ => ( ( apply(F,X,Y1)+ & apply(G,X,Y2) )+ => Y1 = Y2 ) ) ) )).++fof(identity,axiom,+ ( ! [F,A] :+ ( identity(F,A)+ <=> ! [X] :+ ( member(X,A)+ => apply(F,X,X) ) ) )).++fof(injective,axiom,+ ( ! [F,A,B] :+ ( injective(F,A,B)+ <=> ! [X1,X2,Y] :+ ( ( member(X1,A)+ & member(X2,A)+ & member(Y,B) )+ => ( ( apply(F,X1,Y)+ & apply(F,X2,Y) )+ => X1 = X2 ) ) ) )).++fof(surjective,axiom,+ ( ! [F,A,B] :+ ( surjective(F,A,B)+ <=> ! [Y] :+ ( member(Y,B)+ => ? [E] :+ ( member(E,A)+ & apply(F,E,Y) ) ) ) )).++fof(one_to_one,axiom,+ ( ! [F,A,B] :+ ( one_to_one(F,A,B)+ <=> ( injective(F,A,B)+ & surjective(F,A,B) ) ) )).++fof(inverse_predicate,axiom,+ ( ! [G,F,A,B] :+ ( inverse_predicate(G,F,A,B)+ <=> ! [X,Y] :+ ( ( member(X,A)+ & member(Y,B) )+ => ( apply(F,X,Y)+ <=> apply(G,Y,X) ) ) ) )).++fof(inverse_function,axiom,+ ( ! [F,A,B,X,Y] :+ ( ( member(X,A)+ & member(Y,B) )+ => ( apply(F,X,Y)+ <=> apply(inverse_function(F,A,B),Y,X) ) ) )).++fof(image2,axiom,+ ( ! [F,A,Y] :+ ( member(Y,image2(F,A))+ <=> ? [X] :+ ( member(X,A)+ & apply(F,X,Y) ) ) )).++fof(image3,axiom,+ ( ! [F,A,B,Y] :+ ( member(Y,image3(F,A,B))+ <=> ( member(Y,B)+ & ? [X] :+ ( member(X,A)+ & apply(F,X,Y) ) ) ) )).++fof(inverse_image2,axiom,+ ( ! [F,B,X] :+ ( member(X,inverse_image2(F,B))+ <=> ? [Y] :+ ( member(Y,B)+ & apply(F,X,Y) ) ) )).++fof(inverse_image3,axiom,+ ( ! [F,B,A,X] :+ ( member(X,inverse_image3(F,B,A))+ <=> ( member(X,A)+ & ? [Y] :+ ( member(Y,B)+ & apply(F,X,Y) ) ) ) )).++fof(increasing_function,axiom,+ ( ! [F,A,R,B,S] :+ ( increasing(F,A,R,B,S)+ <=> ! [X1,Y1,X2,Y2] :+ ( ( member(X1,A)+ & member(Y1,B)+ & member(X2,A)+ & member(Y2,B)+ & apply(R,X1,X2)+ & apply(F,X1,Y1)+ & apply(F,X2,Y2) )+ => apply(S,Y1,Y2) ) ) )).++fof(decreasing_function,axiom,+ ( ! [F,A,R,B,S] :+ ( decreasing(F,A,R,B,S)+ <=> ! [X1,Y1,X2,Y2] :+ ( ( member(X1,A)+ & member(Y1,B)+ & member(X2,A)+ & member(Y2,B)+ & apply(R,X1,X2)+ & apply(F,X1,Y1)+ & apply(F,X2,Y2) )+ => apply(S,Y2,Y1) ) ) )).++fof(isomorphism,axiom,+ ( ! [F,A,R,B,S] :+ ( isomorphism(F,A,R,B,S)+ <=> ( maps(F,A,B)+ & one_to_one(F,A,B)+ & ! [X1,Y1,X2,Y2] :+ ( ( member(X1,A)+ & member(Y1,B)+ & member(X2,A)+ & member(Y2,B)+ & apply(F,X1,Y1)+ & apply(F,X2,Y2) )+ => ( apply(R,X1,X2)+ <=> apply(S,Y1,Y2) ) ) ) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/SET006+2.ax view
@@ -0,0 +1,93 @@+%--------------------------------------------------------------------------+% File : SET006+2 : TPTP v7.2.0. Released v2.2.0.+% Domain : Set Theory+% Axioms : Equivalence relation axioms for the SET006+0 set theory axioms+% Version : [Pas99] axioms.+% English :++% Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe+% Source : [Pas99]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 5 ( 0 unit)+% Number of atoms : 39 ( 1 equality)+% Maximal formula depth : 12 ( 10 average)+% Number of connectives : 35 ( 1 ~ ; 0 |; 17 &)+% ( 5 <=>; 12 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 8 ( 0 propositional; 2-3 arity)+% Number of functors : 1 ( 0 constant; 3-3 arity)+% Number of variables : 29 ( 0 singleton; 26 !; 3 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments : Requires SET006+0.ax+%--------------------------------------------------------------------------+%----Equivalence relations+fof(disjoint,axiom,+ ( ! [A,B] :+ ( disjoint(A,B)+ <=> ~ ( ? [X] :+ ( member(X,A)+ & member(X,B) ) ) ) )).++fof(partition,axiom,+ ( ! [A,E] :+ ( partition(A,E)+ <=> ( ! [X] :+ ( member(X,A)+ => subset(X,E) )+ & ! [X] :+ ( member(X,E)+ => ? [Y] :+ ( member(Y,A)+ & member(X,Y) ) )+ & ! [X,Y] :+ ( ( member(X,A)+ & member(Y,A) )+ => ( ? [Z] :+ ( member(Z,X)+ & member(Z,Y) )+ => X = Y ) ) ) ) )).++fof(equivalence,axiom,+ ( ! [A,R] :+ ( equivalence(R,A)+ <=> ( ! [X] :+ ( member(X,A)+ => apply(R,X,X) )+ & ! [X,Y] :+ ( ( member(X,A)+ & member(Y,A) )+ => ( apply(R,X,Y)+ => apply(R,Y,X) ) )+ & ! [X,Y,Z] :+ ( ( member(X,A)+ & member(Y,A)+ & member(Z,A) )+ => ( ( apply(R,X,Y)+ & apply(R,Y,Z) )+ => apply(R,X,Z) ) ) ) ) )).++fof(equivalence_class,axiom,+ ( ! [R,E,A,X] :+ ( member(X,equivalence_class(A,E,R))+ <=> ( member(X,E)+ & apply(R,A,X) ) ) )).++fof(pre_order,axiom,+ ( ! [R,E] :+ ( pre_order(R,E)+ <=> ( ! [X] :+ ( member(X,E)+ => apply(R,X,X) )+ & ! [X,Y,Z] :+ ( ( member(X,E)+ & member(Y,E)+ & member(Z,E) )+ => ( ( apply(R,X,Y)+ & apply(R,Y,Z) )+ => apply(R,X,Z) ) ) ) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/SET006+3.ax view
@@ -0,0 +1,126 @@+%------------------------------------------------------------------------------+% File : SET006+3 : TPTP v7.2.0. Released v3.2.0.+% Domain : Set Theory+% Axioms : Order relation (Naive set theory)+% Version : [Pas05] axioms.+% English :++% Refs : [Pas05] Pastre (2005), Email to G. Sutcliffe+% Source : [Pas05]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 10 ( 0 unit)+% Number of atoms : 56 ( 3 equality)+% Maximal formula depth : 12 ( 9 average)+% Number of connectives : 46 ( 0 ~ ; 1 |; 21 &)+% ( 10 <=>; 14 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 13 ( 0 propositional; 2-4 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 46 ( 0 singleton; 46 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments : Requires SET006+0.ax+%------------------------------------------------------------------------------+%----Order relations+fof(order,axiom,(+ ! [R,E] :+ ( order(R,E)+ <=> ( ! [X] :+ ( member(X,E)+ => apply(R,X,X) )+ & ! [X,Y] :+ ( ( member(X,E)+ & member(Y,E) )+ => ( ( apply(R,X,Y)+ & apply(R,Y,X) )+ => X = Y ) )+ & ! [X,Y,Z] :+ ( ( member(X,E)+ & member(Y,E)+ & member(Z,E) )+ => ( ( apply(R,X,Y)+ & apply(R,Y,Z) )+ => apply(R,X,Z) ) ) ) ) )).++fof(total_order,axiom,(+ ! [R,E] :+ ( total_order(R,E)+ <=> ( order(R,E)+ & ! [X,Y] :+ ( ( member(X,E)+ & member(Y,E) )+ => ( apply(R,X,Y)+ | apply(R,Y,X) ) ) ) ) )).++fof(upper_bound,axiom,(+ ! [R,E,M] :+ ( upper_bound(M,R,E)+ <=> ! [X] :+ ( member(X,E)+ => apply(R,X,M) ) ) )).++fof(lower_bound,axiom,(+ ! [R,E,M] :+ ( lower_bound(M,R,E)+ <=> ! [X] :+ ( member(X,E)+ => apply(R,M,X) ) ) )).++fof(greatest,axiom,(+ ! [R,E,M] :+ ( greatest(M,R,E)+ <=> ( member(M,E)+ & ! [X] :+ ( member(X,E)+ => apply(R,X,M) ) ) ) )).++fof(least,axiom,(+ ! [R,E,M] :+ ( least(M,R,E)+ <=> ( member(M,E)+ & ! [X] :+ ( member(X,E)+ => apply(R,M,X) ) ) ) )).++fof(max,axiom,(+ ! [R,E,M] :+ ( max(M,R,E)+ <=> ( member(M,E)+ & ! [X] :+ ( ( member(X,E)+ & apply(R,M,X) )+ => M = X ) ) ) )).++fof(min,axiom,(+ ! [R,E,M] :+ ( min(M,R,E)+ <=> ( member(M,E)+ & ! [X] :+ ( ( member(X,E)+ & apply(R,X,M) )+ => M = X ) ) ) )).++fof(least_upper_bound,axiom,(+ ! [A,X,R,E] :+ ( least_upper_bound(A,X,R,E)+ <=> ( member(A,X)+ & upper_bound(A,R,X)+ & ! [M] :+ ( ( member(M,E)+ & upper_bound(M,R,X) )+ => apply(R,A,M) ) ) ) )).++fof(greatest_lower_bound,axiom,(+ ! [A,X,R,E] :+ ( greatest_lower_bound(A,X,R,E)+ <=> ( member(A,X)+ & lower_bound(A,R,X)+ & ! [M] :+ ( ( member(M,E)+ & lower_bound(M,R,X) )+ => apply(R,M,A) ) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SET006+4.ax view
@@ -0,0 +1,94 @@+%------------------------------------------------------------------------------+% File : SET006+4 : TPTP v7.2.0. Released v3.2.0.+% Domain : Set Theory+% Axioms : Ordinal numbers for the SET006+0 set theory axioms+% Version : [Pas05] axioms.+% English :++% Refs : [Pas05] Pastre (2005), Email to G. Sutcliffe+% Source : [Pas05]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 8 ( 0 unit)+% Number of atoms : 36 ( 1 equality)+% Maximal formula depth : 11 ( 7 average)+% Number of connectives : 29 ( 1 ~ ; 1 |; 12 &)+% ( 7 <=>; 8 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 8 ( 0 propositional; 1-3 arity)+% Number of functors : 6 ( 2 constant; 0-3 arity)+% Number of variables : 28 ( 0 singleton; 26 !; 2 ?)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments : Requires SET006+0.ax+%------------------------------------------------------------------------------+%---- Ordinal numbers and strict order relations+fof(ordinal_number,axiom,(+ ! [A] :+ ( member(A,on)+ <=> ( set(A)+ & strict_well_order(member_predicate,A)+ & ! [X] :+ ( member(X,A)+ => subset(X,A) ) ) ) )).++fof(strict_well_order,axiom,(+ ! [R,E] :+ ( strict_well_order(R,E)+ <=> ( strict_order(R,E)+ & ! [A] :+ ( ( subset(A,E)+ & ? [X] : member(X,A) )+ => ? [Y] : least(Y,R,A) ) ) ) )).++fof(least,axiom,(+ ! [R,E,M] :+ ( least(M,R,E)+ <=> ( member(M,E)+ & ! [X] :+ ( member(X,E)+ => ( M = X+ | apply(R,M,X) ) ) ) ) )).++fof(rel_member,axiom,(+ ! [X,Y] :+ ( apply(member_predicate,X,Y)+ <=> member(X,Y) ) )).++fof(strict_order,axiom,(+ ! [R,E] :+ ( strict_order(R,E)+ <=> ( ! [X,Y] :+ ( ( member(X,E)+ & member(Y,E) )+ => ~ ( apply(R,X,Y)+ & apply(R,Y,X) ) )+ & ! [X,Y,Z] :+ ( ( member(X,E)+ & member(Y,E)+ & member(Z,E) )+ => ( ( apply(R,X,Y)+ & apply(R,Y,Z) )+ => apply(R,X,Z) ) ) ) ) )).++fof(set_member,axiom,(+ ! [X] :+ ( set(X)+ => ! [Y] :+ ( member(Y,X)+ => set(Y) ) ) )).++fof(initial_segment,axiom,(+ ! [X,R,A,Y] :+ ( member(Y,initial_segment(X,R,A))+ <=> ( member(Y,A)+ & apply(R,Y,X) ) ) )).++fof(successor,axiom,(+ ! [A,X] :+ ( member(X,suc(A))+ <=> member(X,union(A,singleton(A))) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWB001+0.ax view
@@ -0,0 +1,3690 @@+%------------------------------------------------------------------------------+% File : SWB001+0 : TPTP v7.2.0. Released v5.2.0.+% Domain : Semantic Web+% Axioms : OWL 2 Full+% Version : [Sch03] axioms : Especial.+% English :++% Refs : [Sch03] Schneider, M. (2011), Email to G. Sutcliffe+% Source : [Sch03]+% Names : axioms-owl2full-standard.tptp [Sch03]++% Status : Satisfiable+% Syntax : Number of formulae : 558 ( 196 unit)+% Number of atoms : 1772 ( 90 equality)+% Maximal formula depth : 27 ( 5 average)+% Number of connectives : 1350 ( 136 ~; 35 |; 758 &)+% ( 126 <=>; 295 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 13 ( 1 propositional; 0-3 arity)+% Number of functors : 157 ( 156 constant; 0-2 arity)+% Number of variables : 973 ( 0 sgn; 911 !; 62 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : FOF_SAT_RFO_SEQ++% Comments : +%------------------------------------------------------------------------------+%----I(s p o) = true -> I(p) in IP+%----Note: the "iext" predicate seems to represent a true triple,+%----not quite the IEXT mapping [CHECK!]+fof(simple_iext_property,axiom,(+ ! [S,P,O] :+ ( iext(P,S,O)+ => ip(P) ) )).++%----Set IR+%----The set IR is the set of all resources.+fof(simple_ir,axiom,(+ ! [X] : ir(X) )).++%----Set LV+%----The set LV of all data values is a subset of IR.+fof(simple_lv,axiom,(+ ! [X] :+ ( lv(X)+ => ir(X) ) )).++%----Axiomatic Triples for the Collection Vocabulary (Lists): rdf:first+fof(rdf_collection_first_type,axiom,(+ iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property) )).++%----Axiomatic Triples for the Collection Vocabulary (Lists): rdf:nil+fof(rdf_collection_nil_type,axiom,(+ iext(uri_rdf_type,uri_rdf_nil,uri_rdf_List) )).++%----Axiomatic Triples for the Collection Vocabulary (Lists): rdf:rest+fof(rdf_collection_rest_type,axiom,(+ iext(uri_rdf_type,uri_rdf_rest,uri_rdf_Property) )).++%----Axiomatic Triples for the Container Vocabulary: rdf:_n+fof(rdf_container_n_type_001,axiom,(+ iext(uri_rdf_type,uri_rdf__1,uri_rdf_Property) )).++%----Axiomatic Triples for the Container Vocabulary: rdf:_n+fof(rdf_container_n_type_002,axiom,(+ iext(uri_rdf_type,uri_rdf__2,uri_rdf_Property) )).++%----Axiomatic Triples for the Container Vocabulary: rdf:_n+fof(rdf_container_n_type_003,axiom,(+ iext(uri_rdf_type,uri_rdf__3,uri_rdf_Property) )).++%----Axiomatic Triples for the Reification Vocabulary: rdf:object+fof(rdf_reification_object_type,axiom,(+ iext(uri_rdf_type,uri_rdf_object,uri_rdf_Property) )).++%----Axiomatic Triples for rdf:value--+fof(rdf_reification_predicate_type,axiom,(+ iext(uri_rdf_type,uri_rdf_value,uri_rdf_Property) )).++%----Axiomatic Triples for the Reification Vocabulary: rdf:subject+fof(rdf_reification_subject_type,axiom,(+ iext(uri_rdf_type,uri_rdf_subject,uri_rdf_Property) )).++%----IP and rdf:Property+fof(rdf_type_ip,axiom,(+ ! [P] :+ ( iext(uri_rdf_type,P,uri_rdf_Property)+ <=> ip(P) ) )).++%----Axiomatic Triple for rdf:type+fof(rdf_type_type,axiom,(+ iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property) )).++%----Axiomatic Triple for rdf:type+fof(rdf_value_type,axiom,(+ iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property) )).++fof(rdfs_annotation_comment_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_comment,uri_rdfs_Resource) )).++fof(rdfs_annotation_comment_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_comment,uri_rdfs_Literal) )).++fof(rdfs_annotation_isdefinedby_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_isDefinedBy,uri_rdfs_Resource) )).++fof(rdfs_annotation_isdefinedby_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_isDefinedBy,uri_rdfs_Resource) )).++fof(rdfs_annotation_isdefinedby_sub,axiom,(+ iext(uri_rdfs_subPropertyOf,uri_rdfs_isDefinedBy,uri_rdfs_seeAlso) )).++fof(rdfs_annotation_label_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_label,uri_rdfs_Resource) )).++fof(rdfs_annotation_label_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_label,uri_rdfs_Literal) )).++fof(rdfs_annotation_seealso_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_seeAlso,uri_rdfs_Resource) )).++fof(rdfs_annotation_seealso_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_seeAlso,uri_rdfs_Resource) )).++%----Definition of ICEXT+fof(rdfs_cext_def,axiom,(+ ! [X,C] :+ ( iext(uri_rdf_type,X,C)+ <=> icext(C,X) ) )).++%----IC and rdfs:Resource+fof(rdfs_class_instsub_resource,axiom,(+ ! [C] :+ ( ic(C)+ => iext(uri_rdfs_subClassOf,C,uri_rdfs_Resource) ) )).++%----IC and rdfs:Resource+fof(rdfs_collection_first_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_first,uri_rdf_List) )).++%----IC and rdfs:Resource+fof(rdfs_collection_first_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_first,uri_rdfs_Resource) )).++fof(rdfs_collection_rest_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_rest,uri_rdf_List) )).++fof(rdfs_collection_rest_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_rest,uri_rdf_List) )).++fof(rdfs_container_alt_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdf_Alt,uri_rdfs_Container) )).++fof(rdfs_container_bag_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdf_Bag,uri_rdfs_Container) )).++%----rdfs:ContainerMembershipProperty+fof(rdfs_container_containermembershipproperty_instsub_member,axiom,(+ ! [P] :+ ( icext(uri_rdfs_ContainerMembershipProperty,P)+ => iext(uri_rdfs_subPropertyOf,P,uri_rdfs_member) ) )).++fof(rdfs_container_containermembershipproperty_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property) )).++fof(rdfs_container_member_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_member,uri_rdfs_Resource) )).++fof(rdfs_container_member_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_member,uri_rdfs_Resource) )).++fof(rdfs_container_n_domain_001,axiom,(+ iext(uri_rdfs_domain,uri_rdf__1,uri_rdfs_Resource) )).++fof(rdfs_container_n_domain_002,axiom,(+ iext(uri_rdfs_domain,uri_rdf__2,uri_rdfs_Resource) )).++fof(rdfs_container_n_domain_003,axiom,(+ iext(uri_rdfs_domain,uri_rdf__3,uri_rdfs_Resource) )).++fof(rdfs_container_n_range_001,axiom,(+ iext(uri_rdfs_range,uri_rdf__1,uri_rdfs_Resource) )).++fof(rdfs_container_n_range_002,axiom,(+ iext(uri_rdfs_range,uri_rdf__2,uri_rdfs_Resource) )).++fof(rdfs_container_n_range_003,axiom,(+ iext(uri_rdfs_range,uri_rdf__3,uri_rdfs_Resource) )).++fof(rdfs_container_n_type_001,axiom,(+ iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty) )).++fof(rdfs_container_n_type_002,axiom,(+ iext(uri_rdf_type,uri_rdf__2,uri_rdfs_ContainerMembershipProperty) )).++fof(rdfs_container_n_type_003,axiom,(+ iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty) )).++fof(rdfs_container_seq_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdfs_Seq,uri_rdfs_Container) )).++fof(rdfs_dat_xmlliteral_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdf_XMLLiteral,uri_rdfs_Literal) )).++%----type of rdf:XMLLiteral+fof(rdfs_dat_xmlliteral_type,axiom,(+ iext(uri_rdf_type,uri_rdf_XMLLiteral,uri_rdfs_Datatype) )).++%----rdfs:Datatype and rdfs:Literal+fof(rdfs_datatype_instsub_literal,axiom,(+ ! [D] :+ ( icext(uri_rdfs_Datatype,D)+ => iext(uri_rdfs_subClassOf,D,uri_rdfs_Literal) ) )).++%----rdfs:Datatype is a sub class of rdfs:Class+fof(rdfs_datatype_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_rdfs_Class) )).++%----domain of rdfs:domain+fof(rdfs_domain_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property) )).++%----Semantic Condition for rdfs:domain+fof(rdfs_domain_main,axiom,(+ ! [P,C,X,Y] :+ ( ( iext(uri_rdfs_domain,P,C)+ & iext(P,X,Y) )+ => icext(C,X) ) )).++%----range of rdfs:domain+fof(rdfs_domain_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_domain,uri_rdfs_Class) )).++%----Definition of set IC based on class extensions of rdfs:Class+fof(rdfs_ic_def,axiom,(+ ! [X] :+ ( ic(X)+ <=> icext(uri_rdfs_Class,X) ) )).++%----Definition of set IR based on class extensions of rdfs:Resource+fof(rdfs_ir_def,axiom,(+ ! [X] :+ ( ir(X)+ <=> icext(uri_rdfs_Resource,X) ) )).++%----Definition of set LV based on class extensions of rdfs:Literal+fof(rdfs_lv_def,axiom,(+ ! [X] :+ ( lv(X)+ <=> icext(uri_rdfs_Literal,X) ) )).++%----type of rdf:Property (derivable RDFS-valid triple)+fof(rdfs_property_type,axiom,(+ iext(uri_rdf_type,uri_rdf_Property,uri_rdfs_Class) )).++%----domain of rdfs:range+fof(rdfs_range_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_range,uri_rdf_Property) )).++%----Semantic Condition for rdfs:range+fof(rdfs_range_main,axiom,(+ ! [P,C,X,Y] :+ ( ( iext(uri_rdfs_range,P,C)+ & iext(P,X,Y) )+ => icext(C,Y) ) )).++%----range of rdfs:range+fof(rdfs_range_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_range,uri_rdfs_Class) )).++fof(rdfs_reification_object_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_object,uri_rdfs_Statement) )).++fof(rdfs_reification_object_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource) )).++fof(rdfs_reification_predicate_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_predicate,uri_rdfs_Statement) )).++fof(rdfs_reification_predicate_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource) )).++fof(rdfs_reification_subject_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_subject,uri_rdfs_Statement) )).++fof(rdfs_reification_subject_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_subject,uri_rdfs_Resource) )).++%----domain of rdfs:subClassOf+fof(rdfs_subclassof_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class) )).++%----Main Semantic Conditions for rdfs:subClassOf+fof(rdfs_subclassof_main,axiom,(+ ! [C,D] :+ ( iext(uri_rdfs_subClassOf,C,D)+ => ( ic(C)+ & ic(D)+ & ! [X] :+ ( icext(C,X)+ => icext(D,X) ) ) ) )).++%----range of rdfs:subClassOf+fof(rdfs_subclassof_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class) )).++%----Reflexivity of rdfs:subClassOf on IC+fof(rdfs_subclassof_reflex,axiom,(+ ! [C] :+ ( ic(C)+ => iext(uri_rdfs_subClassOf,C,C) ) )).++%----Transitivity of rdfs:subClassOf on IC+fof(rdfs_subclassof_trans,axiom,(+ ! [C,D,E] :+ ( ( iext(uri_rdfs_subClassOf,C,D)+ & iext(uri_rdfs_subClassOf,D,E) )+ => iext(uri_rdfs_subClassOf,C,E) ) )).++%----domain of rdfs:subPropertyOf+fof(rdfs_subpropertyof_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_subPropertyOf,uri_rdf_Property) )).++%----Main Semantic Condition for rdfs:subPropertyOf+fof(rdfs_subpropertyof_main,axiom,(+ ! [P,Q] :+ ( iext(uri_rdfs_subPropertyOf,P,Q)+ => ( ip(P)+ & ip(Q)+ & ! [X,Y] :+ ( iext(P,X,Y)+ => iext(Q,X,Y) ) ) ) )).++%----range of rdfs:subPropertyOf+fof(rdfs_subpropertyof_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property) )).++%----Reflexivity of rdfs:subPropertyOf on IP+fof(rdfs_subpropertyof_reflex,axiom,(+ ! [P] :+ ( ip(P)+ => iext(uri_rdfs_subPropertyOf,P,P) ) )).++%----Transitivity of rdfs:subPropertyOf on IP+fof(rdfs_subpropertyof_trans,axiom,(+ ! [P,Q,R] :+ ( ( iext(uri_rdfs_subPropertyOf,P,Q)+ & iext(uri_rdfs_subPropertyOf,Q,R) )+ => iext(uri_rdfs_subPropertyOf,P,R) ) )).++%----domain of rdf:type+fof(rdfs_type_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_type,uri_rdfs_Resource) )).++%----range of rdf:type+fof(rdfs_type_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class) )).++fof(rdfs_value_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_value,uri_rdfs_Resource) )).++fof(rdfs_value_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_value,uri_rdfs_Resource) )).++%----Semantic Condition on the Instances of Part IC (Classes)+fof(owl_parts_ic_cond_inst,axiom,(+ ! [X] :+ ( ic(X)+ => ! [Y] :+ ( icext(X,Y)+ => ir(Y) ) ) )).++%----Semantic Condition on Part IC (Classes)+fof(owl_parts_ic_cond_set,axiom,(+ ! [X] :+ ( ic(X)+ => ir(X) ) )).++%----Definition of Part IC (Classes)+fof(owl_parts_ic_def,axiom,(+ ! [X] :+ ( ic(X)+ <=> iext(uri_rdf_type,X,uri_rdfs_Class) ) )).++%----Semantic Condition on the Instances of Part IDC (Datatypes)+fof(owl_parts_idc_cond_inst,axiom,(+ ! [X] :+ ( idc(X)+ => ! [Y] :+ ( icext(X,Y)+ => lv(Y) ) ) )).++%----Semantic Condition on Part IDC (Datatypes)+fof(owl_parts_idc_cond_set,axiom,(+ ! [X] :+ ( idc(X)+ => ic(X) ) )).++%----Definition of Part IDC (Datatypes)+fof(owl_parts_idc_def,axiom,(+ ! [X] :+ ( idc(X)+ <=> iext(uri_rdf_type,X,uri_rdfs_Datatype) ) )).++%----Semantic Condition on the Instances of Part IOAP (Annotation Properties)+fof(owl_parts_ioap_cond_inst,axiom,(+ ! [X] :+ ( ioap(X)+ => ! [Y,Z] :+ ( iext(X,Y,Z)+ => ( ir(Y)+ & ir(Z) ) ) ) )).++%----Semantic Condition on Part IOAP (Annotation Properties)+fof(owl_parts_ioap_cond_set,axiom,(+ ! [X] :+ ( ioap(X)+ => ip(X) ) )).++%----Definition of Part IOAP (Annotation Properties)+fof(owl_parts_ioap_def,axiom,(+ ! [X] :+ ( ioap(X)+ <=> iext(uri_rdf_type,X,uri_owl_AnnotationProperty) ) )).++%----Semantic Condition on the Instances of Part IODP (Data Properties)+fof(owl_parts_iodp_cond_inst,axiom,(+ ! [X] :+ ( iodp(X)+ => ! [Y,Z] :+ ( iext(X,Y,Z)+ => ( ir(Y)+ & lv(Z) ) ) ) )).++%----Semantic Condition on Part IODP (Data Properties)+fof(owl_parts_iodp_cond_set,axiom,(+ ! [X] :+ ( iodp(X)+ => ip(X) ) )).++%----Definition of Part IODP (Data Properties)+fof(owl_parts_iodp_def,axiom,(+ ! [X] :+ ( iodp(X)+ <=> iext(uri_rdf_type,X,uri_owl_DatatypeProperty) ) )).++%----Semantic Condition on the Instances of Part IOXP (Ontology Properties)+fof(owl_parts_ioxp_cond_inst,axiom,(+ ! [X] :+ ( ioxp(X)+ => ! [Y,Z] :+ ( iext(X,Y,Z)+ => ( ix(Y)+ & ix(Z) ) ) ) )).++%----Semantic Condition on Part IOXP (Ontology Properties)+fof(owl_parts_ioxp_cond_set,axiom,(+ ! [X] :+ ( ioxp(X)+ => ip(X) ) )).++%----Definition of Part IOXP (Ontology Properties)+fof(owl_parts_ioxp_def,axiom,(+ ! [X] :+ ( ioxp(X)+ <=> iext(uri_rdf_type,X,uri_owl_OntologyProperty) ) )).++%----Semantic Condition on the Instances of Part IP (Properties)+fof(owl_parts_ip_cond_inst,axiom,(+ ! [X] :+ ( ip(X)+ => ! [Y,Z] :+ ( iext(X,Y,Z)+ => ( ir(Y)+ & ir(Z) ) ) ) )).++%----Semantic Condition on Part IP (Properties)+fof(owl_parts_ip_cond_set,axiom,(+ ! [X] :+ ( ip(X)+ => ir(X) ) )).++%----Definition of Part IP (Properties)+fof(owl_parts_ip_def,axiom,(+ ! [X] :+ ( ip(X)+ <=> iext(uri_rdf_type,X,uri_rdf_Property) ) )).++%----Semantic Condition on Part IR (Individuals)+fof(owl_parts_ir_cond_set,axiom,(+ ? [X] : ir(X) )).++%----Definition of Part IR (Individuals)+fof(owl_parts_ir_def,axiom,(+ ! [X] :+ ( ir(X)+ <=> iext(uri_rdf_type,X,uri_rdfs_Resource) ) )).++%----Semantic Condition on Part IX (Ontologies)+fof(owl_parts_ix_cond_set,axiom,(+ ! [X] :+ ( ix(X)+ => ir(X) ) )).++%----Definition of Part IX (Ontologies)+fof(owl_parts_ix_def,axiom,(+ ! [X] :+ ( ix(X)+ <=> iext(uri_rdf_type,X,uri_owl_Ontology) ) )).++%----Semantic Condition on Part LV (Data Values)+fof(owl_parts_lv_cond_set,axiom,(+ ! [X] :+ ( lv(X)+ => ir(X) ) )).++%----Definition of Part LV (Data Values)+fof(owl_parts_lv_def,axiom,(+ ! [X] :+ ( lv(X)+ <=> iext(uri_rdf_type,X,uri_rdfs_Literal) ) )).++fof(owl_class_alldifferent_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_AllDifferent,X)+ => ir(X) ) )).++fof(owl_class_alldifferent_type,axiom,(+ ic(uri_owl_AllDifferent) )).++fof(owl_class_alldisjointclasses_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_AllDisjointClasses,X)+ => ir(X) ) )).++fof(owl_class_alldisjointclasses_type,axiom,(+ ic(uri_owl_AllDisjointClasses) )).++fof(owl_class_alldisjointproperties_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_AllDisjointProperties,X)+ => ir(X) ) )).++fof(owl_class_alldisjointproperties_type,axiom,(+ ic(uri_owl_AllDisjointProperties) )).++fof(owl_class_annotation_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_Annotation,X)+ => ir(X) ) )).++fof(owl_class_annotation_type,axiom,(+ ic(uri_owl_Annotation) )).++fof(owl_class_annotationproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_AnnotationProperty,X)+ <=> ioap(X) ) )).++fof(owl_class_annotationproperty_type,axiom,(+ ic(uri_owl_AnnotationProperty) )).++fof(owl_class_asymmetricproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_AsymmetricProperty,X)+ => ip(X) ) )).++fof(owl_class_asymmetricproperty_type,axiom,(+ ic(uri_owl_AsymmetricProperty) )).++fof(owl_class_axiom_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_Axiom,X)+ => ir(X) ) )).++fof(owl_class_axiom_type,axiom,(+ ic(uri_owl_Axiom) )).++%----owl:Class+fof(owl_class_classowl_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_Class,X)+ <=> ic(X) ) )).++%----owl:Class+fof(owl_class_classowl_type,axiom,(+ ic(uri_owl_Class) )).++%----rdfs:Class+fof(owl_class_classrdfs_ext,axiom,(+ ! [X] :+ ( icext(uri_rdfs_Class,X)+ <=> ic(X) ) )).++%----rdfs:Class+fof(owl_class_classrdfs_type,axiom,(+ ic(uri_rdfs_Class) )).++fof(owl_class_datarange_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_DataRange,X)+ <=> idc(X) ) )).++fof(owl_class_datarange_type,axiom,(+ ic(uri_owl_DataRange) )).++%----rdfs:Datatype+fof(owl_class_datatype_ext,axiom,(+ ! [X] :+ ( icext(uri_rdfs_Datatype,X)+ <=> idc(X) ) )).++%----rdfs:Datatype+fof(owl_class_datatype_type,axiom,(+ ic(uri_rdfs_Datatype) )).++fof(owl_class_datatypeproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_DatatypeProperty,X)+ <=> iodp(X) ) )).++fof(owl_class_datatypeproperty_type,axiom,(+ ic(uri_owl_DatatypeProperty) )).++fof(owl_class_deprecatedclass_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_DeprecatedClass,X)+ => ic(X) ) )).++fof(owl_class_deprecatedclass_type,axiom,(+ ic(uri_owl_DeprecatedClass) )).++fof(owl_class_deprecatedproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_DeprecatedProperty,X)+ => ip(X) ) )).++fof(owl_class_deprecatedproperty_type,axiom,(+ ic(uri_owl_DeprecatedProperty) )).++fof(owl_class_functionalproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_FunctionalProperty,X)+ => ip(X) ) )).++fof(owl_class_functionalproperty_type,axiom,(+ ic(uri_owl_FunctionalProperty) )).++fof(owl_class_inversefunctionalproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_InverseFunctionalProperty,X)+ => ip(X) ) )).++%----owl:InverseFunctionalProperty+fof(owl_class_inversefunctionalproperty_type,axiom,(+ ic(uri_owl_InverseFunctionalProperty) )).++fof(owl_class_irreflexiveproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_IrreflexiveProperty,X)+ => ip(X) ) )).++fof(owl_class_irreflexiveproperty_type,axiom,(+ ic(uri_owl_IrreflexiveProperty) )).++fof(owl_class_literal_ext,axiom,(+ ! [X] :+ ( icext(uri_rdfs_Literal,X)+ <=> lv(X) ) )).++fof(owl_class_literal_type,axiom,(+ idc(uri_rdfs_Literal) )).++fof(owl_class_namedindividual_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_NamedIndividual,X)+ => ir(X) ) )).++fof(owl_class_namedindividual_type,axiom,(+ ic(uri_owl_NamedIndividual) )).++fof(owl_class_negativepropertyassertion_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_NegativePropertyAssertion,X)+ => ir(X) ) )).++fof(owl_class_negativepropertyassertion_type,axiom,(+ ic(uri_owl_NegativePropertyAssertion) )).++%----owl:Nothing+fof(owl_class_nothing_ext,axiom,(+ ! [X] : ~ icext(uri_owl_Nothing,X) )).++fof(owl_class_nothing_type,axiom,(+ ic(uri_owl_Nothing) )).++%----owl:ObjectProperty+fof(owl_class_objectproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_ObjectProperty,X)+ <=> ip(X) ) )).++fof(owl_class_objectproperty_type,axiom,(+ ic(uri_owl_ObjectProperty) )).++fof(owl_class_ontology_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_Ontology,X)+ <=> ix(X) ) )).++fof(owl_class_ontology_type,axiom,(+ ic(uri_owl_Ontology) )).++fof(owl_class_ontologyproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_OntologyProperty,X)+ <=> ioxp(X) ) )).++fof(owl_class_ontologyproperty_type,axiom,(+ ic(uri_owl_OntologyProperty) )).++fof(owl_class_property_ext,axiom,(+ ! [X] :+ ( icext(uri_rdf_Property,X)+ <=> ip(X) ) )).++fof(owl_class_property_type,axiom,(+ ic(uri_rdf_Property) )).++fof(owl_class_reflexiveproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_ReflexiveProperty,X)+ => ip(X) ) )).++fof(owl_class_reflexiveproperty_type,axiom,(+ ic(uri_owl_ReflexiveProperty) )).++fof(owl_class_resource_ext,axiom,(+ ! [X] :+ ( icext(uri_rdfs_Resource,X)+ <=> ir(X) ) )).++fof(owl_class_resource_type,axiom,(+ ic(uri_rdfs_Resource) )).++fof(owl_class_restriction_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_Restriction,X)+ => ic(X) ) )).++fof(owl_class_restriction_type,axiom,(+ ic(uri_owl_Restriction) )).++fof(owl_class_symmetricproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_SymmetricProperty,X)+ => ip(X) ) )).++fof(owl_class_symmetricproperty_type,axiom,(+ ic(uri_owl_SymmetricProperty) )).++%----owl:Thing+fof(owl_class_thing_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_Thing,X)+ <=> ir(X) ) )).++%----owl:Thing+fof(owl_class_thing_type,axiom,(+ ic(uri_owl_Thing) )).++fof(owl_class_transitiveproperty_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_TransitiveProperty,X)+ => ip(X) ) )).++fof(owl_class_transitiveproperty_type,axiom,(+ ic(uri_owl_TransitiveProperty) )).++%----owl:allValuesFrom+fof(owl_prop_allvaluesfrom_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_allValuesFrom,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & ic(Y) ) ) )).++fof(owl_prop_allvaluesfrom_type,axiom,(+ ip(uri_owl_allValuesFrom) )).++fof(owl_prop_annotatedproperty_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_annotatedProperty,X,Y)+ => ( ir(X)+ & ir(Y) ) ) )).++fof(owl_prop_annotatedproperty_type,axiom,(+ ip(uri_owl_annotatedProperty) )).++fof(owl_prop_annotatedsource_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_annotatedSource,X,Y)+ => ( ir(X)+ & ir(Y) ) ) )).++fof(owl_prop_annotatedsource_type,axiom,(+ ip(uri_owl_annotatedSource) )).++fof(owl_prop_annotatedtarget_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_annotatedTarget,X,Y)+ => ( ir(X)+ & ir(Y) ) ) )).++fof(owl_prop_annotatedtarget_type,axiom,(+ ip(uri_owl_annotatedTarget) )).++fof(owl_prop_assertionproperty_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_assertionProperty,X,Y)+ => ( icext(uri_owl_NegativePropertyAssertion,X)+ & ip(Y) ) ) )).++fof(owl_prop_assertionproperty_type,axiom,(+ ip(uri_owl_assertionProperty) )).++fof(owl_prop_backwardcompatiblewith_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_backwardCompatibleWith,X,Y)+ => ( ix(X)+ & ix(Y) ) ) )).++fof(owl_prop_backwardcompatiblewith_type_annot,axiom,(+ ioap(uri_owl_backwardCompatibleWith) )).++fof(owl_prop_backwardcompatiblewith_type_onto,axiom,(+ ioxp(uri_owl_backwardCompatibleWith) )).++fof(owl_prop_bottomdataproperty_ext,axiom,(+ ! [X,Y] : ~ iext(uri_owl_bottomDataProperty,X,Y) )).++fof(owl_prop_bottomdataproperty_type,axiom,(+ iodp(uri_owl_bottomDataProperty) )).++fof(owl_prop_bottomobjectproperty_ext,axiom,(+ ! [X,Y] : ~ iext(uri_owl_bottomObjectProperty,X,Y) )).++fof(owl_prop_bottomobjectproperty_type,axiom,(+ ip(uri_owl_bottomObjectProperty) )).++fof(owl_prop_cardinality_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_cardinality,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & icext(uri_xml_nonNegativeInteger,Y) ) ) )).++fof(owl_prop_cardinality_type,axiom,(+ ip(uri_owl_cardinality) )).++fof(owl_prop_comment_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_rdfs_comment,X,Y)+ => ( ir(X)+ & lv(Y) ) ) )).++fof(owl_prop_comment_type,axiom,(+ ioap(uri_rdfs_comment) )).++fof(owl_prop_complementof_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_complementOf,X,Y)+ => ( ic(X)+ & ic(Y) ) ) )).++fof(owl_prop_complementof_type,axiom,(+ ip(uri_owl_complementOf) )).++fof(owl_prop_datatypecomplementof_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_datatypeComplementOf,X,Y)+ => ( idc(X)+ & idc(Y) ) ) )).++fof(owl_prop_datatypecomplementof_type,axiom,(+ ip(uri_owl_datatypeComplementOf) )).++fof(owl_prop_deprecated_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_deprecated,X,Y)+ => ( ir(X)+ & ir(Y) ) ) )).++fof(owl_prop_deprecated_type,axiom,(+ ioap(uri_owl_deprecated) )).++fof(owl_prop_differentfrom_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_differentFrom,X,Y)+ => ( ir(X)+ & ir(Y) ) ) )).++fof(owl_prop_differentfrom_type,axiom,(+ ip(uri_owl_differentFrom) )).++fof(owl_prop_disjointunionof_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_disjointUnionOf,X,Y)+ => ( ic(X)+ & icext(uri_rdf_List,Y) ) ) )).++fof(owl_prop_disjointunionof_type,axiom,(+ ip(uri_owl_disjointUnionOf) )).++%----owl:disjointWith+fof(owl_prop_disjointwith_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_disjointWith,X,Y)+ => ( ic(X)+ & ic(Y) ) ) )).++fof(owl_prop_disjointwith_type,axiom,(+ ip(uri_owl_disjointWith) )).++fof(owl_prop_distinctmembers_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_distinctMembers,X,Y)+ => ( icext(uri_owl_AllDifferent,X)+ & icext(uri_rdf_List,Y) ) ) )).++fof(owl_prop_distinctmembers_type,axiom,(+ ip(uri_owl_distinctMembers) )).++%----owl:equivalentClass+fof(owl_prop_equivalentclass_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_equivalentClass,X,Y)+ => ( ic(X)+ & ic(Y) ) ) )).++%----owl:equivalentClass+fof(owl_prop_equivalentclass_type,axiom,(+ ip(uri_owl_equivalentClass) )).++fof(owl_prop_equivalentproperty_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_equivalentProperty,X,Y)+ => ( ip(X)+ & ip(Y) ) ) )).++fof(owl_prop_equivalentproperty_type,axiom,(+ ip(uri_owl_equivalentProperty) )).++fof(owl_prop_haskey_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_hasKey,X,Y)+ => ( ic(X)+ & icext(uri_rdf_List,Y) ) ) )).++fof(owl_prop_haskey_type,axiom,(+ ip(uri_owl_hasKey) )).++fof(owl_prop_hasself_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_hasSelf,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & ir(Y) ) ) )).++fof(owl_prop_hasself_type,axiom,(+ ip(uri_owl_hasSelf) )).++fof(owl_prop_hasvalue_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_hasValue,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & ir(Y) ) ) )).++fof(owl_prop_hasvalue_type,axiom,(+ ip(uri_owl_hasValue) )).++fof(owl_prop_imports_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_imports,X,Y)+ => ( ix(X)+ & ix(Y) ) ) )).++fof(owl_prop_imports_type,axiom,(+ ioxp(uri_owl_imports) )).++fof(owl_prop_incompatiblewith_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_incompatibleWith,X,Y)+ => ( ix(X)+ & ix(Y) ) ) )).++fof(owl_prop_incompatiblewith_type_annot,axiom,(+ ioap(uri_owl_incompatibleWith) )).++fof(owl_prop_incompatiblewith_type_onto,axiom,(+ ioxp(uri_owl_incompatibleWith) )).++fof(owl_prop_intersectionof_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_intersectionOf,X,Y)+ => ( ic(X)+ & icext(uri_rdf_List,Y) ) ) )).++fof(owl_prop_intersectionof_type,axiom,(+ ip(uri_owl_intersectionOf) )).++%----owl:inverseOf+fof(owl_prop_inverseof_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_inverseOf,X,Y)+ => ( ip(X)+ & ip(Y) ) ) )).++fof(owl_prop_inverseof_type,axiom,(+ ip(uri_owl_inverseOf) )).++fof(owl_prop_isdefinedby_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_rdfs_isDefinedBy,X,Y)+ => ( ir(X)+ & ir(Y) ) ) )).++fof(owl_prop_isdefinedby_type,axiom,(+ ioap(uri_rdfs_isDefinedBy) )).++fof(owl_prop_label_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_rdfs_label,X,Y)+ => ( ir(X)+ & lv(Y) ) ) )).++fof(owl_prop_label_type,axiom,(+ ioap(uri_rdfs_label) )).++fof(owl_prop_maxcardinality_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_maxCardinality,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & icext(uri_xml_nonNegativeInteger,Y) ) ) )).++fof(owl_prop_maxcardinality_type,axiom,(+ ip(uri_owl_maxCardinality) )).++fof(owl_prop_maxqualifiedcardinality_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_maxQualifiedCardinality,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & icext(uri_xml_nonNegativeInteger,Y) ) ) )).++fof(owl_prop_maxqualifiedcardinality_type,axiom,(+ ip(uri_owl_maxQualifiedCardinality) )).++fof(owl_prop_members_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_members,X,Y)+ => ( ir(X)+ & icext(uri_rdf_List,Y) ) ) )).++fof(owl_prop_members_type,axiom,(+ ip(uri_owl_members) )).++fof(owl_prop_mincardinality_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_minCardinality,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & icext(uri_xml_nonNegativeInteger,Y) ) ) )).++fof(owl_prop_mincardinality_type,axiom,(+ ip(uri_owl_minCardinality) )).++fof(owl_prop_minqualifiedcardinality_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_minQualifiedCardinality,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & icext(uri_xml_nonNegativeInteger,Y) ) ) )).++fof(owl_prop_minqualifiedcardinality_type,axiom,(+ ip(uri_owl_minQualifiedCardinality) )).++fof(owl_prop_onclass_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_onClass,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & ic(Y) ) ) )).++fof(owl_prop_onclass_type,axiom,(+ ip(uri_owl_onClass) )).++fof(owl_prop_ondatarange_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_onDataRange,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & idc(Y) ) ) )).++fof(owl_prop_ondatarange_type,axiom,(+ ip(uri_owl_onDataRange) )).++fof(owl_prop_ondatatype_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_onDatatype,X,Y)+ => ( idc(X)+ & idc(Y) ) ) )).++fof(owl_prop_ondatatype_type,axiom,(+ ip(uri_owl_onDatatype) )).++%----owl:oneOf+fof(owl_prop_oneof_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_oneOf,X,Y)+ => ( ic(X)+ & icext(uri_rdf_List,Y) ) ) )).++fof(owl_prop_oneof_type,axiom,(+ ip(uri_owl_oneOf) )).++%----owl:onProperty+fof(owl_prop_onproperty_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_onProperty,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & ip(Y) ) ) )).++fof(owl_prop_onproperty_type,axiom,(+ ip(uri_owl_onProperty) )).++fof(owl_prop_priorversion_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_priorVersion,X,Y)+ => ( ix(X)+ & ix(Y) ) ) )).++fof(owl_prop_priorversion_type_annot,axiom,(+ ioap(uri_owl_priorVersion) )).++fof(owl_prop_priorversion_type_onto,axiom,(+ ioxp(uri_owl_priorVersion) )).++fof(owl_prop_propertychainaxiom_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_propertyChainAxiom,X,Y)+ => ( ip(X)+ & icext(uri_rdf_List,Y) ) ) )).++fof(owl_prop_propertychainaxiom_type,axiom,(+ ip(uri_owl_propertyChainAxiom) )).++fof(owl_prop_propertydisjointwith_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_propertyDisjointWith,X,Y)+ => ( ip(X)+ & ip(Y) ) ) )).++fof(owl_prop_propertydisjointwith_type,axiom,(+ ip(uri_owl_propertyDisjointWith) )).++fof(owl_prop_qualifiedcardinality_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_qualifiedCardinality,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & icext(uri_xml_nonNegativeInteger,Y) ) ) )).++fof(owl_prop_qualifiedcardinality_type,axiom,(+ ip(uri_owl_qualifiedCardinality) )).++fof(owl_prop_sameas_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_sameAs,X,Y)+ => ( ir(X)+ & ir(Y) ) ) )).++fof(owl_prop_sameas_type,axiom,(+ ip(uri_owl_sameAs) )).++fof(owl_prop_seealso_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_rdfs_seeAlso,X,Y)+ => ( ir(X)+ & ir(Y) ) ) )).++fof(owl_prop_seealso_type,axiom,(+ ioap(uri_rdfs_seeAlso) )).++fof(owl_prop_somevaluesfrom_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_someValuesFrom,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & ic(Y) ) ) )).++fof(owl_prop_somevaluesfrom_type,axiom,(+ ip(uri_owl_someValuesFrom) )).++%----owl:sourceIndividual+fof(owl_prop_sourceindividual_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_sourceIndividual,X,Y)+ => ( icext(uri_owl_NegativePropertyAssertion,X)+ & ir(Y) ) ) )).++fof(owl_prop_sourceindividual_type,axiom,(+ ip(uri_owl_sourceIndividual) )).++fof(owl_prop_targetindividual_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_targetIndividual,X,Y)+ => ( icext(uri_owl_NegativePropertyAssertion,X)+ & ir(Y) ) ) )).++fof(owl_prop_targetindividual_type,axiom,(+ ip(uri_owl_targetIndividual) )).++fof(owl_prop_targetvalue_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_targetValue,X,Y)+ => ( icext(uri_owl_NegativePropertyAssertion,X)+ & lv(Y) ) ) )).++fof(owl_prop_targetvalue_type,axiom,(+ ip(uri_owl_targetValue) )).++fof(owl_prop_topdataproperty_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_topDataProperty,X,Y)+ <=> ( ir(X)+ & lv(Y) ) ) )).++fof(owl_prop_topdataproperty_type,axiom,(+ iodp(uri_owl_topDataProperty) )).++fof(owl_prop_topobjectproperty_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_topObjectProperty,X,Y)+ <=> ( ir(X)+ & ir(Y) ) ) )).++fof(owl_prop_topobjectproperty_type,axiom,(+ ip(uri_owl_topObjectProperty) )).++%----owl:unionOf+fof(owl_prop_unionof_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_unionOf,X,Y)+ => ( ic(X)+ & icext(uri_rdf_List,Y) ) ) )).++fof(owl_prop_unionof_type,axiom,(+ ip(uri_owl_unionOf) )).++fof(owl_prop_versioninfo_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_versionInfo,X,Y)+ => ( ir(X)+ & ir(Y) ) ) )).++fof(owl_prop_versioninfo_type,axiom,(+ ioap(uri_owl_versionInfo) )).++fof(owl_prop_versioniri_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_versionIRI,X,Y)+ => ( ix(X)+ & ix(Y) ) ) )).++fof(owl_prop_versioniri_type,axiom,(+ ioxp(uri_owl_versionIRI) )).++fof(owl_prop_withrestrictions_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_withRestrictions,X,Y)+ => ( idc(X)+ & icext(uri_rdf_List,Y) ) ) )).++fof(owl_prop_withrestrictions_type,axiom,(+ ip(uri_owl_withRestrictions) )).++%----owl:complementOf / classes+fof(owl_bool_complementof_class,axiom,(+ ! [Z,C] :+ ( iext(uri_owl_complementOf,Z,C)+ => ( ic(Z)+ & ic(C)+ & ! [X] :+ ( icext(Z,X)+ <=> ~ icext(C,X) ) ) ) )).++%----owl:datatypeComplementOf+fof(owl_bool_datatypecomplementof,axiom,(+ ! [Z,D] :+ ( iext(uri_owl_datatypeComplementOf,Z,D)+ => ! [X] :+ ( icext(Z,X)+ <=> ( lv(X)+ & ~ icext(D,X) ) ) ) )).++%----owl:intersectionOf / classes+%----nullary+fof(owl_bool_intersectionof_class_000,axiom,(+ ! [Z] :+ ( iext(uri_owl_intersectionOf,Z,uri_rdf_nil)+ <=> ( ic(Z)+ & ! [X] :+ ( icext(Z,X)+ <=> ir(X) ) ) ) )).++%----owl:intersectionOf / classes+%----unary+fof(owl_bool_intersectionof_class_001,axiom,(+ ! [Z,S1,C1] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ( iext(uri_owl_intersectionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ! [X] :+ ( icext(Z,X)+ <=> icext(C1,X) ) ) ) ) )).++%----owl:intersectionOf / classes+%----binary+fof(owl_bool_intersectionof_class_002,axiom,(+ ! [Z,S1,C1,S2,C2] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil) )+ => ( iext(uri_owl_intersectionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ic(C2)+ & ! [X] :+ ( icext(Z,X)+ <=> ( icext(C1,X)+ & icext(C2,X) ) ) ) ) ) )).++%----owl:intersectionOf / classes+%----ternary+fof(owl_bool_intersectionof_class_003,axiom,(+ ! [Z,S1,C1,S2,C2,S3,C3] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,C3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil) )+ => ( iext(uri_owl_intersectionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ic(C2)+ & ic(C3)+ & ! [X] :+ ( icext(Z,X)+ <=> ( icext(C1,X)+ & icext(C2,X)+ & icext(C3,X) ) ) ) ) ) )).++%----owl:intersectionOf / datatypes+%----unary+fof(owl_bool_intersectionof_dtype_001,axiom,(+ ! [Z,S1,D1] :+ ( ( iext(uri_rdf_first,S1,D1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil)+ & idc(D1)+ & iext(uri_owl_intersectionOf,Z,S1) )+ => idc(Z) ) )).++%----owl:intersectionOf / datatypes+%----binary+fof(owl_bool_intersectionof_dtype_002,axiom,(+ ! [Z,S1,D1,S2,D2] :+ ( ( iext(uri_rdf_first,S1,D1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,D2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil)+ & idc(D1)+ & idc(D2)+ & iext(uri_owl_intersectionOf,Z,S1) )+ => idc(Z) ) )).++%----owl:intersectionOf / datatypes+%----ternary+fof(owl_bool_intersectionof_dtype_003,axiom,(+ ! [Z,S1,D1,S2,D2,S3,D3] :+ ( ( iext(uri_rdf_first,S1,D1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,D2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,D3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil)+ & idc(D1)+ & idc(D2)+ & idc(D3)+ & iext(uri_owl_intersectionOf,Z,S1) )+ => idc(Z) ) )).++%----owl:unionOf / classes+%----nullary+fof(owl_bool_unionof_class_000,axiom,(+ ! [Z] :+ ( iext(uri_owl_unionOf,Z,uri_rdf_nil)+ <=> ( ic(Z)+ & ! [X] : ~ icext(Z,X) ) ) )).++%----owl:unionOf / classes+%----unary+fof(owl_bool_unionof_class_001,axiom,(+ ! [Z,S1,C1] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ( iext(uri_owl_unionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ! [X] :+ ( icext(Z,X)+ <=> icext(C1,X) ) ) ) ) )).++%----owl:unionOf / classes+%----binary+fof(owl_bool_unionof_class_002,axiom,(+ ! [Z,S1,C1,S2,C2] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil) )+ => ( iext(uri_owl_unionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ic(C2)+ & ! [X] :+ ( icext(Z,X)+ <=> ( icext(C1,X)+ | icext(C2,X) ) ) ) ) ) )).++%----owl:unionOf / classes+%----ternary+fof(owl_bool_unionof_class_003,axiom,(+ ! [Z,S1,C1,S2,C2,S3,C3] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,C3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil) )+ => ( iext(uri_owl_unionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ic(C2)+ & ic(C3)+ & ! [X] :+ ( icext(Z,X)+ <=> ( icext(C1,X)+ | icext(C2,X)+ | icext(C3,X) ) ) ) ) ) )).++%----owl:unionOf / datatypes+%----unary+fof(owl_bool_unionof_dtype_001,axiom,(+ ! [Z,S1,D1] :+ ( ( iext(uri_rdf_first,S1,D1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil)+ & idc(D1)+ & iext(uri_owl_unionOf,Z,S1) )+ => idc(Z) ) )).++%----owl:unionOf / datatypes+%----binary+fof(owl_bool_unionof_dtype_002,axiom,(+ ! [Z,S1,D1,S2,D2] :+ ( ( iext(uri_rdf_first,S1,D1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,D2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil)+ & idc(D1)+ & idc(D2)+ & iext(uri_owl_unionOf,Z,S1) )+ => idc(Z) ) )).++%----owl:unionOf / datatypes+%----ternary+fof(owl_bool_unionof_dtype_003,axiom,(+ ! [Z,S1,D1,S2,D2,S3,D3] :+ ( ( iext(uri_rdf_first,S1,D1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,D2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,D3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil)+ & idc(D1)+ & idc(D2)+ & idc(D3)+ & iext(uri_owl_unionOf,Z,S1) )+ => idc(Z) ) )).++%----owl:oneOf / individuals / empty+fof(owl_enum_class_000,axiom,(+ ! [Z] :+ ( iext(uri_owl_oneOf,Z,uri_rdf_nil)+ <=> ( ic(Z)+ & ! [X] : ~ icext(Z,X) ) ) )).++%----owl:oneOf / individuals / singleton+fof(owl_enum_class_001,axiom,(+ ! [Z,S1,A1] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ( iext(uri_owl_oneOf,Z,S1)+ <=> ( ic(Z)+ & ! [X] :+ ( icext(Z,X)+ <=> X = A1 ) ) ) ) )).++%----owl:oneOf / individuals / dual+fof(owl_enum_class_002,axiom,(+ ! [Z,S1,A1,S2,A2] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,A2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil) )+ => ( iext(uri_owl_oneOf,Z,S1)+ <=> ( ic(Z)+ & ! [X] :+ ( icext(Z,X)+ <=> ( X = A1+ | X = A2 ) ) ) ) ) )).++%----owl:oneOf / individuals / ternary+fof(owl_enum_class_003,axiom,(+ ! [Z,S1,A1,S2,A2,S3,A3] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,A2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,A3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil) )+ => ( iext(uri_owl_oneOf,Z,S1)+ <=> ( ic(Z)+ & ! [X] :+ ( icext(Z,X)+ <=> ( X = A1+ | X = A2+ | X = A3 ) ) ) ) ) )).++%----owl:oneOf / data values/ singleton+fof(owl_enum_dtype_001,axiom,(+ ! [Z,S1,V1] :+ ( ( iext(uri_rdf_first,S1,V1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil)+ & lv(V1)+ & iext(uri_owl_oneOf,Z,S1) )+ => idc(Z) ) )).++%----owl:oneOf / data values / dual+fof(owl_enum_dtype_002,axiom,(+ ! [Z,S1,V1,S2,V2] :+ ( ( iext(uri_rdf_first,S1,V1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,V2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil)+ & lv(V1)+ & lv(V2)+ & iext(uri_owl_oneOf,Z,S1) )+ => idc(Z) ) )).++%----owl:oneOf / data values / ternary+fof(owl_enum_dtype_003,axiom,(+ ! [Z,S1,V1,S2,V2,S3,V3] :+ ( ( iext(uri_rdf_first,S1,V1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,V2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,V3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil)+ & lv(V1)+ & lv(V2)+ & lv(V3)+ & iext(uri_owl_oneOf,Z,S1) )+ => idc(Z) ) )).++%----owl:allValuesFrom+fof(owl_restrict_allvaluesfrom,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_allValuesFrom,Z,C)+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ! [Y] :+ ( iext(P,X,Y)+ => icext(C,Y) ) ) ) )).++%----Exact Cardinality #0+fof(owl_restrict_exactcard_000,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_cardinality,Z,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ~ ? [Y] : iext(P,X,Y) ) ) )).++%----Exact Cardinality #1+fof(owl_restrict_exactcard_001,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_cardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ( ? [Y] : iext(P,X,Y)+ & ! [Y1,Y2] :+ ( ( iext(P,X,Y1)+ & iext(P,X,Y2) )+ => Y2 = Y1 ) ) ) ) )).++%----Exact Cardinality #2+fof(owl_restrict_exactcard_002,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_cardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ( ? [Y1,Y2] :+ ( iext(P,X,Y1)+ & iext(P,X,Y2)+ & Y1 != Y2 )+ & ! [Y1,Y2,Y3] :+ ( ( iext(P,X,Y1)+ & iext(P,X,Y2)+ & iext(P,X,Y3) )+ => ( Y3 = Y1+ | Y3 = Y2 ) ) ) ) ) )).++%----Exact Cardinality #3+fof(owl_restrict_exactcard_003,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_cardinality,Z,literal_typed(dat_str_3,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ( ? [Y1,Y2,Y3] :+ ( iext(P,X,Y1)+ & iext(P,X,Y2)+ & iext(P,X,Y3)+ & Y1 != Y2+ & Y1 != Y3+ & Y2 != Y3 )+ & ! [Y1,Y2,Y3,Y4] :+ ( ( iext(P,X,Y1)+ & iext(P,X,Y2)+ & iext(P,X,Y3)+ & iext(P,X,Y4) )+ => ( Y4 = Y1+ | Y4 = Y2+ | Y4 = Y3 ) ) ) ) ) )).++%----Exact Data QCR #0+fof(owl_restrict_exactqcr_data_000,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_qualifiedCardinality,Z,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] :+ ( icext(Z,X)+ <=> ~ ? [Y] :+ ( lv(Y)+ & iext(P,X,Y)+ & icext(D,Y) ) ) ) ) )).++%----Exact Data QCR #1+fof(owl_restrict_exactqcr_data_001,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_qualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] :+ ( icext(Z,X)+ <=> ( ? [Y] :+ ( lv(Y)+ & iext(P,X,Y)+ & icext(D,Y) )+ & ! [Y1,Y2] :+ ( ( lv(Y1)+ & iext(P,X,Y1)+ & icext(D,Y1)+ & lv(Y2)+ & iext(P,X,Y2)+ & icext(D,Y2) )+ => Y2 = Y1 ) ) ) ) ) )).++%----Exact Data QCR #2+fof(owl_restrict_exactqcr_data_002,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_qualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] :+ ( icext(Z,X)+ <=> ( ? [Y1,Y2] :+ ( lv(Y1)+ & iext(P,X,Y1)+ & icext(D,Y1)+ & lv(Y2)+ & iext(P,X,Y2)+ & icext(D,Y2)+ & Y1 != Y2 )+ & ! [Y1,Y2,Y3] :+ ( ( lv(Y1)+ & iext(P,X,Y1)+ & icext(D,Y1)+ & lv(Y2)+ & iext(P,X,Y2)+ & icext(D,Y2)+ & lv(Y3)+ & iext(P,X,Y3)+ & icext(D,Y3) )+ => ( Y3 = Y1+ | Y3 = Y2 ) ) ) ) ) ) )).++%----Exact Data QCR #3+fof(owl_restrict_exactqcr_data_003,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_qualifiedCardinality,Z,literal_typed(dat_str_3,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] :+ ( icext(Z,X)+ <=> ( ? [Y1,Y2,Y3] :+ ( lv(Y1)+ & iext(P,X,Y1)+ & icext(D,Y1)+ & lv(Y2)+ & iext(P,X,Y2)+ & icext(D,Y2)+ & lv(Y3)+ & iext(P,X,Y3)+ & icext(D,Y3)+ & Y1 != Y2+ & Y1 != Y3+ & Y2 != Y3 )+ & ! [Y1,Y2,Y3,Y4] :+ ( ( lv(Y1)+ & iext(P,X,Y1)+ & icext(D,Y1)+ & lv(Y2)+ & iext(P,X,Y2)+ & icext(D,Y2)+ & lv(Y3)+ & iext(P,X,Y3)+ & icext(D,Y3)+ & lv(Y4)+ & iext(P,X,Y4)+ & icext(D,Y4) )+ => ( Y4 = Y1+ | Y4 = Y2+ | Y4 = Y3 ) ) ) ) ) ) )).++%----Exact Object QCR #0+fof(owl_restrict_exactqcr_object_000,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_qualifiedCardinality,Z,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] :+ ( icext(Z,X)+ <=> ~ ? [Y] :+ ( iext(P,X,Y)+ & icext(C,Y) ) ) ) )).++%----Exact Object QCR #1+fof(owl_restrict_exactqcr_object_001,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_qualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] :+ ( icext(Z,X)+ <=> ( ? [Y] :+ ( iext(P,X,Y)+ & icext(C,Y) )+ & ! [Y1,Y2] :+ ( ( iext(P,X,Y1)+ & icext(C,Y1)+ & iext(P,X,Y2)+ & icext(C,Y2) )+ => Y2 = Y1 ) ) ) ) )).++%----Exact Object QCR #2+fof(owl_restrict_exactqcr_object_002,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_qualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] :+ ( icext(Z,X)+ <=> ( ? [Y1,Y2] :+ ( iext(P,X,Y1)+ & icext(C,Y1)+ & iext(P,X,Y2)+ & icext(C,Y2)+ & Y1 != Y2 )+ & ! [Y1,Y2,Y3] :+ ( ( iext(P,X,Y1)+ & icext(C,Y1)+ & iext(P,X,Y2)+ & icext(C,Y2)+ & iext(P,X,Y3)+ & icext(C,Y3) )+ => ( Y3 = Y1+ | Y3 = Y2 ) ) ) ) ) )).++%----Exact Object QCR #3+fof(owl_restrict_exactqcr_object_003,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_qualifiedCardinality,Z,literal_typed(dat_str_3,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] :+ ( icext(Z,X)+ <=> ( ? [Y1,Y2,Y3] :+ ( iext(P,X,Y1)+ & icext(C,Y1)+ & iext(P,X,Y2)+ & icext(C,Y2)+ & iext(P,X,Y3)+ & icext(C,Y3)+ & Y1 != Y2+ & Y1 != Y3+ & Y2 != Y3 )+ & ! [Y1,Y2,Y3,Y4] :+ ( ( iext(P,X,Y1)+ & icext(C,Y1)+ & iext(P,X,Y2)+ & icext(C,Y2)+ & iext(P,X,Y3)+ & icext(C,Y3)+ & iext(P,X,Y4)+ & icext(C,Y4) )+ => ( Y4 = Y1+ | Y4 = Y2+ | Y4 = Y3 ) ) ) ) ) )).++%----owl:hasSelf+fof(owl_restrict_hasself,axiom,(+ ! [Z,P,V] :+ ( ( iext(uri_owl_hasSelf,Z,V)+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> iext(P,X,X) ) ) )).++%----owl:hasValue+fof(owl_restrict_hasvalue,axiom,(+ ! [Z,P,A] :+ ( ( iext(uri_owl_hasValue,Z,A)+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> iext(P,X,A) ) ) )).++%----Max Cardinality #0+fof(owl_restrict_maxcard_000,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_maxCardinality,Z,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ~ ? [Y] : iext(P,X,Y) ) ) )).++%----Max Cardinality #1+fof(owl_restrict_maxcard_001,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_maxCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ! [Y1,Y2] :+ ( ( iext(P,X,Y1)+ & iext(P,X,Y2) )+ => Y2 = Y1 ) ) ) )).++%----Max Cardinality #2+fof(owl_restrict_maxcard_002,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_maxCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ! [Y1,Y2,Y3] :+ ( ( iext(P,X,Y1)+ & iext(P,X,Y2)+ & iext(P,X,Y3) )+ => ( Y3 = Y1+ | Y3 = Y2 ) ) ) ) )).++%----Max Cardinality #3+fof(owl_restrict_maxcard_003,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_maxCardinality,Z,literal_typed(dat_str_3,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ! [Y1,Y2,Y3,Y4] :+ ( ( iext(P,X,Y1)+ & iext(P,X,Y2)+ & iext(P,X,Y3)+ & iext(P,X,Y4) )+ => ( Y4 = Y1+ | Y4 = Y2+ | Y4 = Y3 ) ) ) ) )).++%----Max Data QCR #0+fof(owl_restrict_maxqcr_data_000,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] :+ ( icext(Z,X)+ <=> ~ ? [Y] :+ ( lv(Y)+ & iext(P,X,Y)+ & icext(D,Y) ) ) ) ) )).++%----Max Data QCR #1+fof(owl_restrict_maxqcr_data_001,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] :+ ( icext(Z,X)+ <=> ! [Y1,Y2] :+ ( ( lv(Y1)+ & iext(P,X,Y1)+ & icext(D,Y1)+ & lv(Y2)+ & iext(P,X,Y2)+ & icext(D,Y2) )+ => Y2 = Y1 ) ) ) ) )).++%----Max Data QCR #2+fof(owl_restrict_maxqcr_data_002,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] :+ ( icext(Z,X)+ <=> ! [Y1,Y2,Y3] :+ ( ( lv(Y1)+ & iext(P,X,Y1)+ & icext(D,Y1)+ & lv(Y2)+ & iext(P,X,Y2)+ & icext(D,Y2)+ & lv(Y3)+ & iext(P,X,Y3)+ & icext(D,Y3) )+ => ( Y3 = Y1+ | Y3 = Y2 ) ) ) ) ) )).++%----Max Data QCR #2+fof(owl_restrict_maxqcr_data_003,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_3,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] :+ ( icext(Z,X)+ <=> ! [Y1,Y2,Y3,Y4] :+ ( ( lv(Y1)+ & iext(P,X,Y1)+ & icext(D,Y1)+ & lv(Y2)+ & iext(P,X,Y2)+ & icext(D,Y2)+ & lv(Y3)+ & iext(P,X,Y3)+ & icext(D,Y3)+ & lv(Y4)+ & iext(P,X,Y4)+ & icext(D,Y4) )+ => ( Y4 = Y1+ | Y4 = Y2+ | Y4 = Y3 ) ) ) ) ) )).++%----Max Object QCR #0+fof(owl_restrict_maxqcr_object_000,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] :+ ( icext(Z,X)+ <=> ~ ? [Y] :+ ( iext(P,X,Y)+ & icext(C,Y) ) ) ) )).++%----Max Object QCR #1+fof(owl_restrict_maxqcr_object_001,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] :+ ( icext(Z,X)+ <=> ! [Y1,Y2] :+ ( ( iext(P,X,Y1)+ & icext(C,Y1)+ & iext(P,X,Y2)+ & icext(C,Y2) )+ => Y2 = Y1 ) ) ) )).++%----Max Object QCR #2+fof(owl_restrict_maxqcr_object_002,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] :+ ( icext(Z,X)+ <=> ! [Y1,Y2,Y3] :+ ( ( iext(P,X,Y1)+ & icext(C,Y1)+ & iext(P,X,Y2)+ & icext(C,Y2)+ & iext(P,X,Y3)+ & icext(C,Y3) )+ => ( Y3 = Y1+ | Y3 = Y2 ) ) ) ) )).++%----Max Object QCR #3+fof(owl_restrict_maxqcr_object_003,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_3,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] :+ ( icext(Z,X)+ <=> ! [Y1,Y2,Y3,Y4] :+ ( ( iext(P,X,Y1)+ & icext(C,Y1)+ & iext(P,X,Y2)+ & icext(C,Y2)+ & iext(P,X,Y3)+ & icext(C,Y3)+ & iext(P,X,Y4)+ & icext(C,Y4) )+ => ( Y4 = Y1+ | Y4 = Y2+ | Y4 = Y3 ) ) ) ) )).++%----Min Cardinality #0+fof(owl_restrict_mincard_000,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_minCardinality,Z,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] : icext(Z,X) ) )).++%----Min Cardinality #1+fof(owl_restrict_mincard_001,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ? [Y] : iext(P,X,Y) ) ) )).++%----Min Cardinality #2+fof(owl_restrict_mincard_002,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_minCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ? [Y1,Y2] :+ ( iext(P,X,Y1)+ & iext(P,X,Y2)+ & Y1 != Y2 ) ) ) )).++%----Min Cardinality #3+fof(owl_restrict_mincard_003,axiom,(+ ! [Z,P] :+ ( ( iext(uri_owl_minCardinality,Z,literal_typed(dat_str_3,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ? [Y1,Y2,Y3] :+ ( iext(P,X,Y1)+ & iext(P,X,Y2)+ & iext(P,X,Y3)+ & Y1 != Y2+ & Y1 != Y3+ & Y2 != Y3 ) ) ) )).++%----Min Data QCR #0+fof(owl_restrict_minqcr_data_000,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] : icext(Z,X) ) ) )).++%----Min Data QCR #1+fof(owl_restrict_minqcr_data_001,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] :+ ( icext(Z,X)+ <=> ? [Y] :+ ( lv(Y)+ & iext(P,X,Y)+ & icext(D,Y) ) ) ) ) )).++%----Min Data QCR #2+fof(owl_restrict_minqcr_data_002,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] :+ ( icext(Z,X)+ <=> ? [Y1,Y2] :+ ( lv(Y1)+ & iext(P,X,Y1)+ & icext(D,Y1)+ & lv(Y2)+ & iext(P,X,Y2)+ & icext(D,Y2)+ & Y1 != Y2 ) ) ) ) )).++%----Min Data QCR #3+fof(owl_restrict_minqcr_data_003,axiom,(+ ! [Z,P,D] :+ ( ( iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_3,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onDataRange,Z,D) )+ => ( iodp(P)+ & ! [X] :+ ( icext(Z,X)+ <=> ? [Y1,Y2,Y3] :+ ( lv(Y1)+ & iext(P,X,Y1)+ & icext(D,Y1)+ & lv(Y2)+ & iext(P,X,Y2)+ & icext(D,Y2)+ & lv(Y3)+ & iext(P,X,Y3)+ & icext(D,Y3)+ & Y1 != Y2+ & Y1 != Y3+ & Y2 != Y3 ) ) ) ) )).++%----Min Object QCR #0+fof(owl_restrict_minqcr_object_000,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] : icext(Z,X) ) )).++%----Min Object QCR #1+fof(owl_restrict_minqcr_object_001,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] :+ ( icext(Z,X)+ <=> ? [Y] :+ ( iext(P,X,Y)+ & icext(C,Y) ) ) ) )).++fof(owl_restrict_minqcr_object_002,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] :+ ( icext(Z,X)+ <=> ? [Y1,Y2] :+ ( iext(P,X,Y1)+ & icext(C,Y1)+ & iext(P,X,Y2)+ & icext(C,Y2)+ & Y1 != Y2 ) ) ) )).++fof(owl_restrict_minqcr_object_003,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_3,uri_xsd_nonNegativeInteger))+ & iext(uri_owl_onProperty,Z,P)+ & iext(uri_owl_onClass,Z,C) )+ => ! [X] :+ ( icext(Z,X)+ <=> ? [Y1,Y2,Y3] :+ ( iext(P,X,Y1)+ & icext(C,Y1)+ & iext(P,X,Y2)+ & icext(C,Y2)+ & iext(P,X,Y3)+ & icext(C,Y3)+ & Y1 != Y2+ & Y1 != Y3+ & Y2 != Y3 ) ) ) )).++%----owl:someValuesFrom+fof(owl_restrict_somevaluesfrom,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_someValuesFrom,Z,C)+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ? [Y] :+ ( iext(P,X,Y)+ & icext(C,Y) ) ) ) )).++%----rdfs:domain+fof(owl_rdfsext_domain,axiom,(+ ! [P,C] :+ ( iext(uri_rdfs_domain,P,C)+ <=> ( ip(P)+ & ic(C)+ & ! [X,Y] :+ ( iext(P,X,Y)+ => icext(C,X) ) ) ) )).++%----rdfs:range+fof(owl_rdfsext_range,axiom,(+ ! [P,C] :+ ( iext(uri_rdfs_range,P,C)+ <=> ( ip(P)+ & ip(C)+ & ! [X,Y] :+ ( iext(P,X,Y)+ => icext(C,Y) ) ) ) )).++%----rdfs:subClassOf+fof(owl_rdfsext_subclassof,axiom,(+ ! [C1,C2] :+ ( iext(uri_rdfs_subClassOf,C1,C2)+ <=> ( ic(C1)+ & ic(C2)+ & ! [X] :+ ( icext(C1,X)+ => icext(C2,X) ) ) ) )).++%----rdfs:subPropertyOf+fof(owl_rdfsext_subpropertyof,axiom,(+ ! [P1,P2] :+ ( iext(uri_rdfs_subPropertyOf,P1,P2)+ <=> ( ip(P1)+ & ip(P2)+ & ! [X,Y] :+ ( iext(P1,X,Y)+ => iext(P2,X,Y) ) ) ) )).++%----owl:differentFrom+fof(owl_eqdis_differentfrom,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_differentFrom,X,Y)+ <=> X != Y ) )).++%----owl:disjointUnionOf+%----nullary+fof(owl_eqdis_disjointunionof_000,axiom,(+ ! [C] :+ ( iext(uri_owl_disjointUnionOf,C,uri_rdf_nil)+ <=> ( ic(C)+ & ! [X] : ~ icext(C,X) ) ) )).++%----owl:disjointUnionOf+%----unary+fof(owl_eqdis_disjointunionof_001,axiom,(+ ! [C,S1,C1] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ( iext(uri_owl_disjointUnionOf,C,S1)+ <=> ( ic(C)+ & ic(C1)+ & ! [X] :+ ( icext(C,X)+ <=> icext(C1,X) ) ) ) ) )).++%----owl:disjointUnionOf+%----binary+fof(owl_eqdis_disjointunionof_002,axiom,(+ ! [C,S1,C1,S2,C2] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil) )+ => ( iext(uri_owl_disjointUnionOf,C,S1)+ <=> ( ic(C)+ & ic(C1)+ & ic(C2)+ & ! [X] :+ ( icext(C,X)+ <=> ( ( icext(C1,X)+ | icext(C2,X) )+ & ~ ( icext(C1,X)+ & icext(C2,X) ) ) ) ) ) ) )).++%----owl:disjointUnionOf+%----ternary+fof(owl_eqdis_disjointunionof_003,axiom,(+ ! [C,S1,C1,S2,C2,S3,C3] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,C3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil) )+ => ( iext(uri_owl_disjointUnionOf,C,S1)+ <=> ( ic(C)+ & ic(C1)+ & ic(C2)+ & ic(C3)+ & ! [X] :+ ( icext(C,X)+ <=> ( ( icext(C1,X)+ | icext(C2,X)+ | icext(C3,X) )+ & ~ ( icext(C1,X)+ & icext(C2,X) )+ & ~ ( icext(C1,X)+ & icext(C3,X) )+ & ~ ( icext(C2,X)+ & icext(C3,X) ) ) ) ) ) ) )).++%----owl:disjointWith+fof(owl_eqdis_disjointwith,axiom,(+ ! [C1,C2] :+ ( iext(uri_owl_disjointWith,C1,C2)+ <=> ( ic(C1)+ & ic(C2)+ & ! [X] :+ ~ ( icext(C1,X)+ & icext(C2,X) ) ) ) )).++%----owl:equivalentClass+fof(owl_eqdis_equivalentclass,axiom,(+ ! [C1,C2] :+ ( iext(uri_owl_equivalentClass,C1,C2)+ <=> ( ic(C1)+ & ic(C2)+ & ! [X] :+ ( icext(C1,X)+ <=> icext(C2,X) ) ) ) )).++%----owl:equivalentProperty+fof(owl_eqdis_equivalentproperty,axiom,(+ ! [P1,P2] :+ ( iext(uri_owl_equivalentProperty,P1,P2)+ <=> ( ip(P1)+ & ip(P2)+ & ! [X,Y] :+ ( iext(P1,X,Y)+ <=> iext(P2,X,Y) ) ) ) )).++%----owl:propertyDisjointWith+fof(owl_eqdis_propertydisjointwith,axiom,(+ ! [P1,P2] :+ ( iext(uri_owl_propertyDisjointWith,P1,P2)+ <=> ( ip(P1)+ & ip(P2)+ & ! [X,Y] :+ ~ ( iext(P1,X,Y)+ & iext(P2,X,Y) ) ) ) )).++%----owl:sameAs+fof(owl_eqdis_sameas,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_sameAs,X,Y)+ <=> X = Y ) )).++%----owl:AllDifferent / owl:distinctMembers / fi-direction+%----nullary+fof(owl_ndis_alldifferent_distinctmembers_fi_000,axiom,(+ ? [Z] :+ ( icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_distinctMembers,Z,uri_rdf_nil) ) )).++%----owl:AllDifferent / owl:distinctMembers / fi-direction+%----unary+fof(owl_ndis_alldifferent_distinctmembers_fi_001,axiom,(+ ! [S1,A1] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ? [Z] :+ ( icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_distinctMembers,Z,S1) ) ) )).++%----owl:AllDifferent / owl:distinctMembers / fi-direction+%----binary+fof(owl_ndis_alldifferent_distinctmembers_fi_002,axiom,(+ ! [S1,A1,S2,A2] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,A2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil)+ & A1 != A2 )+ => ? [Z] :+ ( icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_distinctMembers,Z,S1) ) ) )).++%----owl:AllDifferent / owl:distinctMembers / fi-direction+%----ternary+fof(owl_ndis_alldifferent_distinctmembers_fi_003,axiom,(+ ! [S1,A1,S2,A2,S3,A3] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,A2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,A3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil)+ & A1 != A2+ & A1 != A3+ & A2 != A3 )+ => ? [Z] :+ ( icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_distinctMembers,Z,S1) ) ) )).++%----no semantic effect+fof(owl_ndis_alldifferent_distinctmembers_if_000,axiom,+ ( tautology+ | ~ tautology )).++%----no semantic effect+fof(owl_ndis_alldifferent_distinctmembers_if_001,axiom,+ ( tautology+ | ~ tautology )).++%----owl:AllDifferent / owl:distinctMembers / if-direction+%----binary+fof(owl_ndis_alldifferent_distinctmembers_if_002,axiom,(+ ! [Z,S1,A1,S2,A2] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,A2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil)+ & icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_distinctMembers,Z,S1) )+ => A1 != A2 ) )).++%----owl:AllDifferent / owl:distinctMembers / if-direction+%----ternary+fof(owl_ndis_alldifferent_distinctmembers_if_003,axiom,(+ ! [Z,S1,A1,S2,A2,S3,A3] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,A2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,A3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil)+ & icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_distinctMembers,Z,S1) )+ => ( A1 != A2+ & A1 != A3+ & A2 != A3 ) ) )).++%----owl:AllDifferent / owl:members / fi-direction+%----nullary+fof(owl_ndis_alldifferent_members_fi_000,axiom,(+ ? [Z] :+ ( icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_members,Z,uri_rdf_nil) ) )).++%----owl:AllDifferent / owl:members / fi-direction+%----binary+fof(owl_ndis_alldifferent_members_fi_001,axiom,(+ ! [S1,A1] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ? [Z] :+ ( icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_members,Z,S1) ) ) )).++%----owl:AllDifferent / owl:members / fi-direction+%----binary+fof(owl_ndis_alldifferent_members_fi_002,axiom,(+ ! [S1,A1,S2,A2] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,A2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil)+ & A1 != A2 )+ => ? [Z] :+ ( icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_members,Z,S1) ) ) )).++%----owl:AllDifferent / owl:members / fi-direction+%----ternary+fof(owl_ndis_alldifferent_members_fi_003,axiom,(+ ! [S1,A1,S2,A2,S3,A3] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,A2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,A3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil)+ & A1 != A2+ & A1 != A3+ & A2 != A3 )+ => ? [Z] :+ ( icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_members,Z,S1) ) ) )).++%----no semantic effect+fof(owl_ndis_alldifferent_members_if_000,axiom,+ ( tautology+ | ~ tautology )).++%----no semantic effect+fof(owl_ndis_alldifferent_members_if_001,axiom,+ ( tautology+ | ~ tautology )).++%----owl:AllDifferent / owl:members / if-direction+%----binary+fof(owl_ndis_alldifferent_members_if_002,axiom,(+ ! [Z,S1,A1,S2,A2] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,A2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil)+ & icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_members,Z,S1) )+ => A1 != A2 ) )).++%----owl:AllDifferent / owl:members / if-direction+%----ternary+fof(owl_ndis_alldifferent_members_if_003,axiom,(+ ! [Z,S1,A1,S2,A2,S3,A3] :+ ( ( iext(uri_rdf_first,S1,A1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,A2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,A3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil)+ & icext(uri_owl_AllDifferent,Z)+ & iext(uri_owl_members,Z,S1) )+ => ( A1 != A2+ & A1 != A3+ & A2 != A3 ) ) )).++%----owl:AllDisjointClasses / owl:members / fi-direction+%----nullary+fof(owl_ndis_alldisjointclasses_fi_000,axiom,(+ ? [Z] :+ ( icext(uri_owl_AllDisjointClasses,Z)+ & iext(uri_owl_members,Z,uri_rdf_nil) ) )).++%----owl:AllDisjointClasses / owl:members / fi-direction+%----unary+fof(owl_ndis_alldisjointclasses_fi_001,axiom,(+ ! [S1,C1] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ? [Z] :+ ( icext(uri_owl_AllDisjointClasses,Z)+ & iext(uri_owl_members,Z,S1) ) ) )).++%----owl:AllDisjointClasses / owl:members / fi-direction+%----binary+fof(owl_ndis_alldisjointclasses_fi_002,axiom,(+ ! [S1,C1,S2,C2] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil)+ & ! [X] :+ ~ ( icext(C1,X)+ & icext(C2,X) ) )+ => ? [Z] :+ ( icext(uri_owl_AllDisjointClasses,Z)+ & iext(uri_owl_members,Z,S1) ) ) )).++%----owl:AllDisjointClasses / owl:members / fi-direction+%----ternary+fof(owl_ndis_alldisjointclasses_fi_003,axiom,(+ ! [S1,C1,S2,C2,S3,C3] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,C3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil)+ & ! [X] :+ ~ ( icext(C1,X)+ & icext(C2,X) )+ & ! [X] :+ ~ ( icext(C1,X)+ & icext(C3,X) )+ & ! [X] :+ ~ ( icext(C2,X)+ & icext(C3,X) ) )+ => ? [Z] :+ ( icext(uri_owl_AllDisjointClasses,Z)+ & iext(uri_owl_members,Z,S1) ) ) )).++%----no semantic effect+fof(owl_ndis_alldisjointclasses_if_000,axiom,+ ( tautology+ | ~ tautology )).++%----no semantic effect+fof(owl_ndis_alldisjointclasses_if_001,axiom,+ ( tautology+ | ~ tautology )).++%----owl:AllDisjointClasses / owl:members / if-direction+%----binary+fof(owl_ndis_alldisjointclasses_if_002,axiom,(+ ! [Z,S1,C1,S2,C2] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil)+ & icext(uri_owl_AllDisjointClasses,Z)+ & iext(uri_owl_members,Z,S1) )+ => ! [X] :+ ~ ( icext(C1,X)+ & icext(C2,X) ) ) )).++%----owl:AllDisjointClasses / owl:members / if-direction+%----ternary+fof(owl_ndis_alldisjointclasses_if_003,axiom,(+ ! [Z,S1,C1,S2,C2,S3,C3] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,C3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil)+ & icext(uri_owl_AllDisjointClasses,Z)+ & iext(uri_owl_members,Z,S1) )+ => ( ! [X] :+ ~ ( icext(C1,X)+ & icext(C2,X) )+ & ! [X] :+ ~ ( icext(C1,X)+ & icext(C3,X) )+ & ! [X] :+ ~ ( icext(C2,X)+ & icext(C3,X) ) ) ) )).++%----owl:AllDisjointProperties / owl:members / fi-direction+%----nullary+fof(owl_ndis_alldisjointproperties_fi_000,axiom,(+ ? [Z] :+ ( icext(uri_owl_AllDisjointProperties,Z)+ & iext(uri_owl_members,Z,uri_rdf_nil) ) )).++%----owl:AllDisjointProperties / owl:members / fi-direction+%----unary+fof(owl_ndis_alldisjointproperties_fi_001,axiom,(+ ! [S1,P1] :+ ( ( iext(uri_rdf_first,S1,P1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ? [Z] :+ ( icext(uri_owl_AllDisjointProperties,Z)+ & iext(uri_owl_members,Z,S1) ) ) )).++%----owl:AllDisjointProperties / owl:members / fi-direction+%----binary+fof(owl_ndis_alldisjointproperties_fi_002,axiom,(+ ! [S1,P1,S2,P2] :+ ( ( iext(uri_rdf_first,S1,P1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,P2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil)+ & ! [X,Y] :+ ~ ( iext(P1,X,Y)+ & iext(P2,X,Y) ) )+ => ? [Z] :+ ( icext(uri_owl_AllDisjointProperties,Z)+ & iext(uri_owl_members,Z,S1) ) ) )).++%----owl:AllDisjointProperties / owl:members / fi-direction+%----ternary+fof(owl_ndis_alldisjointproperties_fi_003,axiom,(+ ! [S1,P1,S2,P2,S3,P3] :+ ( ( iext(uri_rdf_first,S1,P1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,P2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,P3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil)+ & ! [X,Y] :+ ~ ( iext(P1,X,Y)+ & iext(P2,X,Y) )+ & ! [X,Y] :+ ~ ( iext(P1,X,Y)+ & iext(P3,X,Y) )+ & ! [X,Y] :+ ~ ( iext(P2,X,Y)+ & iext(P3,X,Y) ) )+ => ? [Z] :+ ( icext(uri_owl_AllDisjointProperties,Z)+ & iext(uri_owl_members,Z,S1) ) ) )).++%----no semantic effect+fof(owl_ndis_alldisjointproperties_if_000,axiom,+ ( tautology+ | ~ tautology )).++%----no semantic effect+fof(owl_ndis_alldisjointproperties_if_001,axiom,+ ( tautology+ | ~ tautology )).++%----owl:AllDisjointProperties / owl:members / if-direction+%----binary+fof(owl_ndis_alldisjointproperties_if_002,axiom,(+ ! [Z,S1,P1,S2,P2] :+ ( ( iext(uri_rdf_first,S1,P1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,P2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil)+ & icext(uri_owl_AllDisjointProperties,Z)+ & iext(uri_owl_members,Z,S1) )+ => ! [X,Y] :+ ~ ( iext(P1,X,Y)+ & iext(P2,X,Y) ) ) )).++%----owl:AllDisjointProperties / owl:members / if-direction+%----ternary+fof(owl_ndis_alldisjointproperties_if_003,axiom,(+ ! [Z,S1,P1,S2,P2,S3,P3] :+ ( ( iext(uri_rdf_first,S1,P1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,P2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,P3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil)+ & icext(uri_owl_AllDisjointProperties,Z)+ & iext(uri_owl_members,Z,S1) )+ => ( ! [X,Y] :+ ~ ( iext(P1,X,Y)+ & iext(P2,X,Y) )+ & ! [X,Y] :+ ~ ( iext(P1,X,Y)+ & iext(P3,X,Y) )+ & ! [X,Y] :+ ~ ( iext(P2,X,Y)+ & iext(P3,X,Y) ) ) ) )).++%----owl:propertyChainAxiom+%----nullary+fof(owl_chain_000,axiom,(+ ! [P] :+ ( iext(uri_owl_propertyChainAxiom,P,uri_rdf_nil)+ <=> ( ip(P)+ & ! [Y0] : iext(P,Y0,Y0) ) ) )).++%----owl:propertyChainAxiom+%----unary+fof(owl_chain_001,axiom,(+ ! [P,S1,P1] :+ ( ( iext(uri_rdf_first,S1,P1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ( iext(uri_owl_propertyChainAxiom,P,S1)+ <=> ( ip(P)+ & ip(P1)+ & ! [Y0,Y1] :+ ( iext(P1,Y0,Y1)+ => iext(P,Y0,Y1) ) ) ) ) )).++%----owl:propertyChainAxiom+%----binary+fof(owl_chain_002,axiom,(+ ! [P,S1,P1,S2,P2] :+ ( ( iext(uri_rdf_first,S1,P1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,P2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil) )+ => ( iext(uri_owl_propertyChainAxiom,P,S1)+ <=> ( ip(P)+ & ip(P1)+ & ip(P2)+ & ! [Y0,Y1,Y2] :+ ( ( iext(P1,Y0,Y1)+ & iext(P2,Y1,Y2) )+ => iext(P,Y0,Y2) ) ) ) ) )).++%----owl:propertyChainAxiom+%----ternary+fof(owl_chain_003,axiom,(+ ! [P,S1,P1,S2,P2,S3,P3] :+ ( ( iext(uri_rdf_first,S1,P1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,P2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,P3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil) )+ => ( iext(uri_owl_propertyChainAxiom,P,S1)+ <=> ( ip(P)+ & ip(P1)+ & ip(P2)+ & ip(P3)+ & ! [Y0,Y1,Y2,Y3] :+ ( ( iext(P1,Y0,Y1)+ & iext(P2,Y1,Y2)+ & iext(P3,Y2,Y3) )+ => iext(P,Y0,Y3) ) ) ) ) )).++%----owl:inverseOf+fof(owl_inv,axiom,(+ ! [P1,P2] :+ ( iext(uri_owl_inverseOf,P1,P2)+ <=> ( ip(P1)+ & ip(P2)+ & ! [X,Y] :+ ( iext(P1,X,Y)+ <=> iext(P2,Y,X) ) ) ) )).++%----owl:AsymmetricProperty+fof(owl_char_asymmetric,axiom,(+ ! [P] :+ ( icext(uri_owl_AsymmetricProperty,P)+ <=> ( ip(P)+ & ! [X,Y] :+ ( iext(P,X,Y)+ => ~ iext(P,Y,X) ) ) ) )).++%----owl:FunctionalProperty+fof(owl_char_functional,axiom,(+ ! [P] :+ ( icext(uri_owl_FunctionalProperty,P)+ <=> ( ip(P)+ & ! [X,Y1,Y2] :+ ( ( iext(P,X,Y1)+ & iext(P,X,Y2) )+ => Y1 = Y2 ) ) ) )).++%----owl:InverseFunctionalProperty+fof(owl_char_inversefunctional,axiom,(+ ! [P] :+ ( icext(uri_owl_InverseFunctionalProperty,P)+ <=> ( ip(P)+ & ! [X1,X2,Y] :+ ( ( iext(P,X1,Y)+ & iext(P,X2,Y) )+ => X1 = X2 ) ) ) )).++%----owl:IrreflexiveProperty+fof(owl_char_irreflexive,axiom,(+ ! [P] :+ ( icext(uri_owl_IrreflexiveReflexiveProperty,P)+ <=> ( ip(P)+ & ! [X] : ~ iext(P,X,X) ) ) )).++%----owl:ReflexiveProperty+fof(owl_char_reflexive,axiom,(+ ! [P] :+ ( icext(uri_owl_ReflexiveProperty,P)+ <=> ( ip(P)+ & ! [X] : iext(P,X,X) ) ) )).++%----owl:SymmetricProperty+fof(owl_char_symmetric,axiom,(+ ! [P] :+ ( icext(uri_owl_SymmetricProperty,P)+ <=> ( ip(P)+ & ! [X,Y] :+ ( iext(P,X,Y)+ => iext(P,Y,X) ) ) ) )).++%----owl:TransitiveProperty+fof(owl_char_transitive,axiom,(+ ! [P] :+ ( icext(uri_owl_TransitiveProperty,P)+ <=> ( ip(P)+ & ! [X,Y,Z] :+ ( ( iext(P,X,Y)+ & iext(P,Y,Z) )+ => iext(P,X,Z) ) ) ) )).++%----owl:hasKey+%----owl:hasKey / nullary+fof(owl_key_000,axiom,(+ ! [C] :+ ( iext(uri_owl_hasKey,C,uri_rdf_nil)+ <=> ( ic(C)+ & ! [X,Y] :+ ( ( icext(C,X)+ & icext(C,Y) )+ => X = Y ) ) ) )).++%----owl:hasKey+%----owl:hasKey / singleton+fof(owl_key_001,axiom,(+ ! [C,S1,P1] :+ ( ( iext(uri_rdf_first,S1,P1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ( iext(uri_owl_hasKey,C,S1)+ <=> ( ic(C)+ & ip(P1)+ & ! [X,Y,Z1] :+ ( ( icext(C,X)+ & icext(C,Y)+ & iext(P1,X,Z1)+ & iext(P1,Y,Z1) )+ => X = Y ) ) ) ) )).++%----owl:hasKey+%----owl:hasKey / binary+fof(owl_key_002,axiom,(+ ! [C,S1,P1,S2,P2] :+ ( ( iext(uri_rdf_first,S1,P1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,P2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil) )+ => ( iext(uri_owl_hasKey,C,S1)+ <=> ( ic(C)+ & ip(P1)+ & ip(P2)+ & ! [X,Y,Z1,Z2] :+ ( ( icext(C,X)+ & icext(C,Y)+ & iext(P1,X,Z1)+ & iext(P1,Y,Z1)+ & iext(P2,X,Z2)+ & iext(P2,Y,Z2) )+ => X = Y ) ) ) ) )).++%----owl:hasKey+%----owl:hasKey / ternary+fof(owl_key_003,axiom,(+ ! [C,S1,P1,S2,P2,S3,P3] :+ ( ( iext(uri_rdf_first,S1,P1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,P2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,P3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil) )+ => ( iext(uri_owl_hasKey,C,S1)+ <=> ( ic(C)+ & ip(P1)+ & ip(P2)+ & ip(P3)+ & ! [X,Y,Z1,Z2,Z3] :+ ( ( icext(C,X)+ & icext(C,Y)+ & iext(P1,X,Z1)+ & iext(P1,Y,Z1)+ & iext(P2,X,Z2)+ & iext(P2,Y,Z2)+ & iext(P3,X,Z3)+ & iext(P3,Y,Z3) )+ => X = Y ) ) ) ) )).++%----Data NPA / fi-direction+fof(owl_npa_data_fi,axiom,(+ ! [P,A,V] :+ ( ( ir(A)+ & iodp(P)+ & lv(V)+ & ~ iext(P,A,V) )+ => ? [Z] :+ ( iext(uri_owl_sourceIndividual,Z,A)+ & iext(uri_owl_assertionProperty,Z,P)+ & iext(uri_owl_targetValue,Z,V) ) ) )).++%----Data NPA / if-direction+fof(owl_npa_data_if,axiom,(+ ! [Z,P,A,V] :+ ( ( iext(uri_owl_sourceIndividual,Z,A)+ & iext(uri_owl_assertionProperty,Z,P)+ & iext(uri_owl_targetValue,Z,V) )+ => ( iodp(P)+ & ~ iext(P,A,V) ) ) )).++%----Object NPA / fi-direction+fof(owl_npa_object_fi,axiom,(+ ! [P,A1,A2] :+ ( ( ir(A1)+ & ip(P)+ & ir(A2)+ & ~ iext(P,A1,A2) )+ => ? [Z] :+ ( iext(uri_owl_sourceIndividual,Z,A1)+ & iext(uri_owl_assertionProperty,Z,P)+ & iext(uri_owl_targetIndividual,Z,A2) ) ) )).++%----Object NPA / if-direction+fof(owl_npa_object_if,axiom,(+ ! [Z,P,A1,A2] :+ ( ( iext(uri_owl_sourceIndividual,Z,A1)+ & iext(uri_owl_assertionProperty,Z,P)+ & iext(uri_owl_targetIndividual,Z,A2) )+ => ~ iext(P,A1,A2) ) )).++fof(owl_dat_dtype_anyuri_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_anyURI,X)+ => lv(X) ) )).++fof(owl_dat_dtype_anyuri_type,axiom,(+ idc(uri_xsd_anyURI) )).++fof(owl_dat_dtype_base64binary_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_base64Binary,X)+ => lv(X) ) )).++fof(owl_dat_dtype_base64binary_type,axiom,(+ idc(uri_xsd_base64Binary) )).++fof(owl_dat_dtype_boolean_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_boolean,X)+ => lv(X) ) )).++fof(owl_dat_dtype_boolean_type,axiom,(+ idc(uri_xsd_boolean) )).++fof(owl_dat_dtype_byte_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_byte,X)+ => lv(X) ) )).++fof(owl_dat_dtype_byte_type,axiom,(+ idc(uri_xsd_byte) )).++fof(owl_dat_dtype_datetime_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_dateTime,X)+ => lv(X) ) )).++fof(owl_dat_dtype_datetime_type,axiom,(+ idc(uri_xsd_dateTime) )).++fof(owl_dat_dtype_datetimestamp_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_dateTimeStamp,X)+ => lv(X) ) )).++fof(owl_dat_dtype_datetimestamp_type,axiom,(+ idc(uri_xsd_dateTimeStamp) )).++fof(owl_dat_dtype_decimal_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_decimal,X)+ => lv(X) ) )).++fof(owl_dat_dtype_decimal_type,axiom,(+ idc(uri_xsd_decimal) )).++fof(owl_dat_dtype_double_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_double,X)+ => lv(X) ) )).++fof(owl_dat_dtype_double_type,axiom,(+ idc(uri_xsd_double) )).++fof(owl_dat_dtype_float_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_float,X)+ => lv(X) ) )).++fof(owl_dat_dtype_float_type,axiom,(+ idc(uri_xsd_float) )).++fof(owl_dat_dtype_hexbinary_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_hexBinary,X)+ => lv(X) ) )).++fof(owl_dat_dtype_hexbinary_type,axiom,(+ idc(uri_xsd_hexBinary) )).++fof(owl_dat_dtype_int_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_int,X)+ => lv(X) ) )).++fof(owl_dat_dtype_int_type,axiom,(+ idc(uri_xsd_int) )).++fof(owl_dat_dtype_integer_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_integer,X)+ => lv(X) ) )).++fof(owl_dat_dtype_integer_type,axiom,(+ idc(uri_xsd_integer) )).++fof(owl_dat_dtype_language_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_language,X)+ => lv(X) ) )).++fof(owl_dat_dtype_language_type,axiom,(+ idc(uri_xsd_language) )).++fof(owl_dat_dtype_long_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_long,X)+ => lv(X) ) )).++fof(owl_dat_dtype_long_type,axiom,(+ idc(uri_xsd_long) )).++fof(owl_dat_dtype_name_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_Name,X)+ => lv(X) ) )).++fof(owl_dat_dtype_name_type,axiom,(+ idc(uri_xsd_Name) )).++fof(owl_dat_dtype_ncname_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_NCName,X)+ => lv(X) ) )).++fof(owl_dat_dtype_ncname_type,axiom,(+ idc(uri_xsd_NCName) )).++fof(owl_dat_dtype_negativeinteger_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_negativeInteger,X)+ => lv(X) ) )).++fof(owl_dat_dtype_negativeinteger_type,axiom,(+ idc(uri_xsd_negativeInteger) )).++fof(owl_dat_dtype_nmtoken_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_NMTOKEN,X)+ => lv(X) ) )).++fof(owl_dat_dtype_nmtoken_type,axiom,(+ idc(uri_xsd_NMTOKEN) )).++fof(owl_dat_dtype_nonnegativeinteger_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_nonNegativeInteger,X)+ => lv(X) ) )).++fof(owl_dat_dtype_nonnegativeinteger_type,axiom,(+ idc(uri_xsd_nonNegativeInteger) )).++fof(owl_dat_dtype_nonpositiveinteger_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_nonPositiveInteger,X)+ => lv(X) ) )).++fof(owl_dat_dtype_nonpositiveinteger_type,axiom,(+ idc(uri_xsd_nonPositiveInteger) )).++fof(owl_dat_dtype_normalizedstring_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_normalizedString,X)+ => lv(X) ) )).++fof(owl_dat_dtype_normalizedstring_type,axiom,(+ idc(uri_xsd_normalizedString) )).++fof(owl_dat_dtype_plainliteral_ext,axiom,(+ ! [X] :+ ( icext(uri_rdf_PlainLiteral,X)+ => lv(X) ) )).++fof(owl_dat_dtype_plainliteral_type,axiom,(+ idc(uri_rdf_PlainLiteral) )).++fof(owl_dat_dtype_positiveinteger_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_positiveInteger,X)+ => lv(X) ) )).++fof(owl_dat_dtype_positiveinteger_type,axiom,(+ idc(uri_xsd_positiveInteger) )).++fof(owl_dat_dtype_rational_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_rational,X)+ => lv(X) ) )).++fof(owl_dat_dtype_rational_type,axiom,(+ idc(uri_owl_rational) )).++fof(owl_dat_dtype_real_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_real,X)+ => lv(X) ) )).++fof(owl_dat_dtype_real_type,axiom,(+ idc(uri_owl_real) )).++fof(owl_dat_dtype_short_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_short,X)+ => lv(X) ) )).++fof(owl_dat_dtype_short_type,axiom,(+ idc(uri_xsd_short) )).++fof(owl_dat_dtype_string_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_string,X)+ => lv(X) ) )).++fof(owl_dat_dtype_string_type,axiom,(+ idc(uri_xsd_string) )).++fof(owl_dat_dtype_token_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_token,X)+ => lv(X) ) )).++fof(owl_dat_dtype_token_type,axiom,(+ idc(uri_xsd_token) )).++fof(owl_dat_dtype_unsignedbyte_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_unsignedByte,X)+ => lv(X) ) )).++fof(owl_dat_dtype_unsignedbyte_type,axiom,(+ idc(uri_xsd_unsignedByte) )).++fof(owl_dat_dtype_unsignedint_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_unsignedInt,X)+ => lv(X) ) )).++fof(owl_dat_dtype_unsignedint_type,axiom,(+ idc(uri_xsd_unsignedInt) )).++fof(owl_dat_dtype_unsignedlong_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_unsignedLong,X)+ => lv(X) ) )).++fof(owl_dat_dtype_unsignedlong_type,axiom,(+ idc(uri_xsd_unsignedLong) )).++fof(owl_dat_dtype_unsignedshort_ext,axiom,(+ ! [X] :+ ( icext(uri_xsd_unsignedShort,X)+ => lv(X) ) )).++fof(owl_dat_dtype_unsignedshort_type,axiom,(+ idc(uri_xsd_unsignedShort) )).++fof(owl_dat_dtype_xmlliteral_ext,axiom,(+ ! [X] :+ ( icext(uri_rdf_XMLLiteral,X)+ => lv(X) ) )).++fof(owl_dat_dtype_xmlliteral_type,axiom,(+ idc(uri_rdf_XMLLiteral) )).++fof(owl_dat_dtype_relation_disjoint_anyuri_base64binary,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_anyURI,X)+ & icext(uri_xsd_base64Binary,X) ) )).++fof(owl_dat_dtype_relation_disjoint_anyuri_boolean,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_anyURI,X)+ & icext(uri_xsd_boolean,X) ) )).++fof(owl_dat_dtype_relation_disjoint_anyuri_datetime,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_anyURI,X)+ & icext(uri_xsd_dateTime,X) ) )).++fof(owl_dat_dtype_relation_disjoint_anyuri_double,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_anyURI,X)+ & icext(uri_xsd_double,X) ) )).++fof(owl_dat_dtype_relation_disjoint_anyuri_float,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_anyURI,X)+ & icext(uri_xsd_float,X) ) )).++fof(owl_dat_dtype_relation_disjoint_anyuri_hexbinary,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_anyURI,X)+ & icext(uri_xsd_hexBinary,X) ) )).++fof(owl_dat_dtype_relation_disjoint_anyuri_plainliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_anyURI,X)+ & icext(uri_rdf_PlainLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_anyuri_real,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_anyURI,X)+ & icext(uri_owl_real,X) ) )).++fof(owl_dat_dtype_relation_disjoint_anyuri_xmlliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_anyURI,X)+ & icext(uri_rdf_XMLLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_base64binary_boolean,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_base64Binary,X)+ & icext(uri_xsd_boolean,X) ) )).++fof(owl_dat_dtype_relation_disjoint_base64binary_datetime,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_base64Binary,X)+ & icext(uri_xsd_dateTime,X) ) )).++fof(owl_dat_dtype_relation_disjoint_base64binary_double,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_base64Binary,X)+ & icext(uri_xsd_double,X) ) )).++fof(owl_dat_dtype_relation_disjoint_base64binary_float,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_base64Binary,X)+ & icext(uri_xsd_float,X) ) )).++fof(owl_dat_dtype_relation_disjoint_base64binary_hexbinary,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_base64Binary,X)+ & icext(uri_xsd_hexBinary,X) ) )).++fof(owl_dat_dtype_relation_disjoint_base64binary_plainliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_base64Binary,X)+ & icext(uri_rdf_PlainLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_base64binary_real,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_base64Binary,X)+ & icext(uri_owl_real,X) ) )).++fof(owl_dat_dtype_relation_disjoint_base64binary_xmlliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_base64Binary,X)+ & icext(uri_rdf_XMLLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_boolean_datetime,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_boolean,X)+ & icext(uri_xsd_dateTime,X) ) )).++fof(owl_dat_dtype_relation_disjoint_boolean_double,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_boolean,X)+ & icext(uri_xsd_double,X) ) )).++fof(owl_dat_dtype_relation_disjoint_boolean_float,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_boolean,X)+ & icext(uri_xsd_float,X) ) )).++fof(owl_dat_dtype_relation_disjoint_boolean_hexbinary,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_boolean,X)+ & icext(uri_xsd_hexBinary,X) ) )).++fof(owl_dat_dtype_relation_disjoint_boolean_plainliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_boolean,X)+ & icext(uri_rdf_PlainLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_boolean_real,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_boolean,X)+ & icext(uri_owl_real,X) ) )).++fof(owl_dat_dtype_relation_disjoint_boolean_xmlliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_boolean,X)+ & icext(uri_rdf_XMLLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_datetime_double,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_dateTime,X)+ & icext(uri_xsd_double,X) ) )).++fof(owl_dat_dtype_relation_disjoint_datetime_float,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_dateTime,X)+ & icext(uri_xsd_float,X) ) )).++fof(owl_dat_dtype_relation_disjoint_datetime_hexbinary,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_dateTime,X)+ & icext(uri_xsd_hexBinary,X) ) )).++fof(owl_dat_dtype_relation_disjoint_datetime_plainliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_dateTime,X)+ & icext(uri_rdf_PlainLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_datetime_real,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_dateTime,X)+ & icext(uri_owl_real,X) ) )).++fof(owl_dat_dtype_relation_disjoint_datetime_xmlliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_dateTime,X)+ & icext(uri_rdf_XMLLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_double_float,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_double,X)+ & icext(uri_xsd_float,X) ) )).++fof(owl_dat_dtype_relation_disjoint_double_hexbinary,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_double,X)+ & icext(uri_xsd_hexBinary,X) ) )).++fof(owl_dat_dtype_relation_disjoint_double_plainliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_double,X)+ & icext(uri_rdf_PlainLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_double_real,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_double,X)+ & icext(uri_owl_real,X) ) )).++fof(owl_dat_dtype_relation_disjoint_double_xmlliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_double,X)+ & icext(uri_rdf_XMLLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_float_hexbinary,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_float,X)+ & icext(uri_xsd_hexBinary,X) ) )).++fof(owl_dat_dtype_relation_disjoint_float_plainliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_float,X)+ & icext(uri_rdf_PlainLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_float_real,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_float,X)+ & icext(uri_owl_real,X) ) )).++fof(owl_dat_dtype_relation_disjoint_float_xmlliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_float,X)+ & icext(uri_rdf_XMLLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_hexbinary_plainliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_hexBinary,X)+ & icext(uri_rdf_PlainLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_hexbinary_real,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_hexBinary,X)+ & icext(uri_owl_real,X) ) )).++fof(owl_dat_dtype_relation_disjoint_hexbinary_xmlliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_xsd_hexBinary,X)+ & icext(uri_rdf_XMLLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_plainliteral_real,axiom,(+ ! [X] :+ ~ ( icext(uri_rdf_PlainLiteral,X)+ & icext(uri_owl_real,X) ) )).++fof(owl_dat_dtype_relation_disjoint_plainliteral_xmlliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_rdf_PlainLiteral,X)+ & icext(uri_rdf_XMLLiteral,X) ) )).++fof(owl_dat_dtype_relation_disjoint_real_xmlliteral,axiom,(+ ! [X] :+ ~ ( icext(uri_owl_real,X)+ & icext(uri_rdf_XMLLiteral,X) ) )).++fof(owl_dat_dtype_relation_subtype_byte_short,axiom,(+ ! [X] :+ ( icext(uri_xsd_byte,X)+ => icext(uri_xsd_short,X) ) )).++fof(owl_dat_dtype_relation_subtype_datetimestamp_datetime,axiom,(+ ! [X] :+ ( icext(uri_xsd_dateTimeStamp,X)+ => icext(uri_xsd_dateTime,X) ) )).++fof(owl_dat_dtype_relation_subtype_decimal_rational,axiom,(+ ! [X] :+ ( icext(uri_xsd_decimal,X)+ => icext(uri_owl_rational,X) ) )).++fof(owl_dat_dtype_relation_subtype_int_long,axiom,(+ ! [X] :+ ( icext(uri_xsd_int,X)+ => icext(uri_xsd_long,X) ) )).++fof(owl_dat_dtype_relation_subtype_integer_decimal,axiom,(+ ! [X] :+ ( icext(uri_xsd_integer,X)+ => icext(uri_xsd_decimal,X) ) )).++fof(owl_dat_dtype_relation_subtype_language_token,axiom,(+ ! [X] :+ ( icext(uri_xsd_language,X)+ => icext(uri_xsd_token,X) ) )).++fof(owl_dat_dtype_relation_subtype_long_integer,axiom,(+ ! [X] :+ ( icext(uri_xsd_long,X)+ => icext(uri_xsd_integer,X) ) )).++fof(owl_dat_dtype_relation_subtype_name_token,axiom,(+ ! [X] :+ ( icext(uri_xsd_Name,X)+ => icext(uri_xsd_token,X) ) )).++fof(owl_dat_dtype_relation_subtype_ncname_name,axiom,(+ ! [X] :+ ( icext(uri_xsd_NCName,X)+ => icext(uri_xsd_Name,X) ) )).++fof(owl_dat_dtype_relation_subtype_negativeinteger_nonpositiveinteger,axiom,(+ ! [X] :+ ( icext(uri_xsd_negativeInteger,X)+ => icext(uri_xsd_nonPositiveInteger,X) ) )).++fof(owl_dat_dtype_relation_subtype_nmtoken_token,axiom,(+ ! [X] :+ ( icext(uri_xsd_NMTOKEN,X)+ => icext(uri_xsd_token,X) ) )).++fof(owl_dat_dtype_relation_subtype_nonnegativeinteger_integer,axiom,(+ ! [X] :+ ( icext(uri_xsd_nonNegativeInteger,X)+ => icext(uri_xsd_integer,X) ) )).++fof(owl_dat_dtype_relation_subtype_nonpositiveinteger_integer,axiom,(+ ! [X] :+ ( icext(uri_xsd_nonPositiveInteger,X)+ => icext(uri_xsd_integer,X) ) )).++fof(owl_dat_dtype_relation_subtype_normalizedstring_string,axiom,(+ ! [X] :+ ( icext(uri_xsd_normalizedString,X)+ => icext(uri_xsd_string,X) ) )).++fof(owl_dat_dtype_relation_subtype_positiveinteger_nonnegativeinteger,axiom,(+ ! [X] :+ ( icext(uri_xsd_positiveInteger,X)+ => icext(uri_xsd_nonNegativeInteger,X) ) )).++fof(owl_dat_dtype_relation_subtype_rational_real,axiom,(+ ! [X] :+ ( icext(uri_owl_rational,X)+ => icext(uri_owl_real,X) ) )).++fof(owl_dat_dtype_relation_subtype_short_int,axiom,(+ ! [X] :+ ( icext(uri_xsd_short,X)+ => icext(uri_xsd_int,X) ) )).++fof(owl_dat_dtype_relation_subtype_string_plainliteral,axiom,(+ ! [X] :+ ( icext(uri_xsd_string,X)+ => icext(uri_rdf_PlainLiteral,X) ) )).++fof(owl_dat_dtype_relation_subtype_token_normalizedstring,axiom,(+ ! [X] :+ ( icext(uri_xsd_token,X)+ => icext(uri_xsd_normalizedString,X) ) )).++fof(owl_dat_dtype_relation_subtype_unsignedbyte_unsignedshort,axiom,(+ ! [X] :+ ( icext(uri_xsd_unsignedByte,X)+ => icext(uri_xsd_unsignedShort,X) ) )).++fof(owl_dat_dtype_relation_subtype_unsignedint_unsignedlong,axiom,(+ ! [X] :+ ( icext(uri_xsd_unsignedInt,X)+ => icext(uri_xsd_unsignedLong,X) ) )).++fof(owl_dat_dtype_relation_subtype_unsignedlong_nonnegativeinteger,axiom,(+ ! [X] :+ ( icext(uri_xsd_unsignedLong,X)+ => icext(uri_xsd_nonNegativeInteger,X) ) )).++fof(owl_dat_dtype_relation_subtype_unsignedshort_unsignedint,axiom,(+ ! [X] :+ ( icext(uri_xsd_unsignedShort,X)+ => icext(uri_xsd_unsignedInt,X) ) )).++fof(owl_dat_facet_langrange_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_rdf_langRange,X,Y)+ => ( ir(X)+ & lv(Y) ) ) )).++fof(owl_dat_facet_langrange_type,axiom,(+ iodp(uri_rdf_langRange) )).++fof(owl_dat_facet_length_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_xsd_length,X,Y)+ => ( ir(X)+ & lv(Y) ) ) )).++fof(owl_dat_facet_length_type,axiom,(+ iodp(uri_xsd_length) )).++fof(owl_dat_facet_maxexclusive_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_xsd_maxExclusive,X,Y)+ => ( ir(X)+ & lv(Y) ) ) )).++fof(owl_dat_facet_maxexclusive_type,axiom,(+ iodp(uri_xsd_maxExclusive) )).++fof(owl_dat_facet_maxinclusive_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_xsd_maxInclusive,X,Y)+ => ( ir(X)+ & lv(Y) ) ) )).++fof(owl_dat_facet_maxinclusive_type,axiom,(+ iodp(uri_xsd_maxInclusive) )).++fof(owl_dat_facet_maxlength_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_xsd_maxLength,X,Y)+ => ( ir(X)+ & lv(Y) ) ) )).++fof(owl_dat_facet_maxlength_type,axiom,(+ iodp(uri_xsd_maxLength) )).++fof(owl_dat_facet_minexclusive_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_xsd_minExclusive,X,Y)+ => ( ir(X)+ & lv(Y) ) ) )).++fof(owl_dat_facet_minexclusive_type,axiom,(+ iodp(uri_xsd_minExclusive) )).++fof(owl_dat_facet_mininclusive_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_xsd_minInclusive,X,Y)+ => ( ir(X)+ & lv(Y) ) ) )).++fof(owl_dat_facet_mininclusive_type,axiom,(+ iodp(uri_xsd_minInclusive) )).++fof(owl_dat_facet_minlength_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_xsd_minLength,X,Y)+ => ( ir(X)+ & lv(Y) ) ) )).++fof(owl_dat_facet_minlength_type,axiom,(+ iodp(uri_xsd_minLength) )).++fof(owl_dat_facet_pattern_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_xsd_pattern,X,Y)+ => ( ir(X)+ & lv(Y) ) ) )).++fof(owl_dat_facet_pattern_type,axiom,(+ iodp(uri_xsd_pattern) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWB002+0.ax view
@@ -0,0 +1,806 @@+%------------------------------------------------------------------------------+% File : SWB002+0 : TPTP v7.2.0. Released v5.2.0.+% Domain : Semantic Web+% Axioms : ALCO Full Extensional+% Version : [Sch03] axioms : Especial.+% English :++% Refs : [Sch03] Schneider, M. (2011), Email to G. Sutcliffe+% Source : [Sch03]+% Names : axioms-alco_full_plus_a_bit [Sch03]++% Status : Satisfiable+% Syntax : Number of formulae : 138 ( 73 unit)+% Number of atoms : 310 ( 0 equality)+% Maximal formula depth : 18 ( 3 average)+% Number of connectives : 175 ( 3 ~; 3 |; 74 &)+% ( 38 <=>; 57 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 11 ( 0 propositional; 1-3 arity)+% Number of functors : 47 ( 47 constant; 0-0 arity)+% Number of variables : 159 ( 0 sgn; 157 !; 2 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : FOF_SAT_RFO_NEQ++% Comments : +%------------------------------------------------------------------------------+%----owl:complementOf / classes+fof(owl_bool_complementof_class,axiom,(+ ! [Z,C] :+ ( iext(uri_owl_complementOf,Z,C)+ => ( ic(Z)+ & ic(C)+ & ! [X] :+ ( icext(Z,X)+ <=> ~ icext(C,X) ) ) ) )).++%----owl:intersectionOf / classes+%----nullary+fof(owl_bool_intersectionof_class_000,axiom,(+ ! [Z] :+ ( iext(uri_owl_intersectionOf,Z,uri_rdf_nil)+ <=> ( ic(Z)+ & ! [X] :+ ( icext(Z,X)+ <=> ir(X) ) ) ) )).++%----owl:intersectionOf / classes+%----unary+fof(owl_bool_intersectionof_class_001,axiom,(+ ! [Z,S1,C1] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ( iext(uri_owl_intersectionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ! [X] :+ ( icext(Z,X)+ <=> icext(C1,X) ) ) ) ) )).++%----owl:intersectionOf / classes+%----binary+fof(owl_bool_intersectionof_class_002,axiom,(+ ! [Z,S1,C1,S2,C2] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil) )+ => ( iext(uri_owl_intersectionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ic(C2)+ & ! [X] :+ ( icext(Z,X)+ <=> ( icext(C1,X)+ & icext(C2,X) ) ) ) ) ) )).++%----owl:intersectionOf / classes+%----ternary+fof(owl_bool_intersectionof_class_003,axiom,(+ ! [Z,S1,C1,S2,C2,S3,C3] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,C3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil) )+ => ( iext(uri_owl_intersectionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ic(C2)+ & ic(C3)+ & ! [X] :+ ( icext(Z,X)+ <=> ( icext(C1,X)+ & icext(C2,X)+ & icext(C3,X) ) ) ) ) ) )).++%----owl:unionOf / classes+%----nullary+fof(owl_bool_unionof_class_000,axiom,(+ ! [Z] :+ ( iext(uri_owl_unionOf,Z,uri_rdf_nil)+ <=> ( ic(Z)+ & ! [X] : ~ icext(Z,X) ) ) )).++%----owl:unionOf / classes+%----unary+fof(owl_bool_unionof_class_001,axiom,(+ ! [Z,S1,C1] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,uri_rdf_nil) )+ => ( iext(uri_owl_unionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ! [X] :+ ( icext(Z,X)+ <=> icext(C1,X) ) ) ) ) )).++%----owl:unionOf / classes+%----binary+fof(owl_bool_unionof_class_002,axiom,(+ ! [Z,S1,C1,S2,C2] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,uri_rdf_nil) )+ => ( iext(uri_owl_unionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ic(C2)+ & ! [X] :+ ( icext(Z,X)+ <=> ( icext(C1,X)+ | icext(C2,X) ) ) ) ) ) )).++%----owl:unionOf / classes+%----binary+fof(owl_bool_unionof_class_003,axiom,(+ ! [Z,S1,C1,S2,C2,S3,C3] :+ ( ( iext(uri_rdf_first,S1,C1)+ & iext(uri_rdf_rest,S1,S2)+ & iext(uri_rdf_first,S2,C2)+ & iext(uri_rdf_rest,S2,S3)+ & iext(uri_rdf_first,S3,C3)+ & iext(uri_rdf_rest,S3,uri_rdf_nil) )+ => ( iext(uri_owl_unionOf,Z,S1)+ <=> ( ic(Z)+ & ic(C1)+ & ic(C2)+ & ic(C3)+ & ! [X] :+ ( icext(Z,X)+ <=> ( icext(C1,X)+ | icext(C2,X)+ | icext(C3,X) ) ) ) ) ) )).++%----owl:Nothing+fof(owl_class_nothing_ext,axiom,(+ ! [X] : ~ icext(uri_owl_Nothing,X) )).++fof(owl_class_nothing_type,axiom,(+ ic(uri_owl_Nothing) )).++%----owl:Thing+fof(owl_class_thing_ext,axiom,(+ ! [X] :+ ( icext(uri_owl_Thing,X)+ <=> ir(X) ) )).++%----owl:Thing+fof(owl_class_thing_type,axiom,(+ ic(uri_owl_Thing) )).++%----Semantic Condition on the Instances of Part IC (Classes)+fof(owl_parts_ic_cond_inst,axiom,(+ ! [X] :+ ( ic(X)+ => ! [Y] :+ ( icext(X,Y)+ => ir(Y) ) ) )).++%----Semantic Condition on Part IC (Classes)+fof(owl_parts_ic_cond_set,axiom,(+ ! [X] :+ ( ic(X)+ => ir(X) ) )).++%----Definition of Part IC (Classes)+fof(owl_parts_ic_def,axiom,(+ ! [X] :+ ( ic(X)+ <=> iext(uri_rdf_type,X,uri_rdfs_Class) ) )).++%----Semantic Condition on the Instances of Part IDC (Datatypes)+fof(owl_parts_idc_cond_inst,axiom,(+ ! [X] :+ ( idc(X)+ => ! [Y] :+ ( icext(X,Y)+ => lv(Y) ) ) )).++%----Semantic Condition on Part IDC (Datatypes)+fof(owl_parts_idc_cond_set,axiom,(+ ! [X] :+ ( idc(X)+ => ic(X) ) )).++%----Definition of Part IDC (Datatypes)+fof(owl_parts_idc_def,axiom,(+ ! [X] :+ ( idc(X)+ <=> iext(uri_rdf_type,X,uri_rdfs_Datatype) ) )).++%----Semantic Condition on the Instances of Part IOAP (Annotation Properties)+fof(owl_parts_ioap_cond_inst,axiom,(+ ! [X] :+ ( ioap(X)+ => ! [Y,Z] :+ ( iext(X,Y,Z)+ => ( ir(Y)+ & ir(Z) ) ) ) )).++%----Semantic Condition on Part IOAP (Annotation Properties)+fof(owl_parts_ioap_cond_set,axiom,(+ ! [X] :+ ( ioap(X)+ => ip(X) ) )).++%----Definition of Part IOAP (Annotation Properties)+fof(owl_parts_ioap_def,axiom,(+ ! [X] :+ ( ioap(X)+ <=> iext(uri_rdf_type,X,uri_owl_AnnotationProperty) ) )).++%----Semantic Condition on the Instances of Part IODP (Data Properties)+fof(owl_parts_iodp_cond_inst,axiom,(+ ! [X] :+ ( iodp(X)+ => ! [Y,Z] :+ ( iext(X,Y,Z)+ => ( ir(Y)+ & lv(Z) ) ) ) )).++%----Semantic Condition on Part IODP (Data Properties)+fof(owl_parts_iodp_cond_set,axiom,(+ ! [X] :+ ( iodp(X)+ => ip(X) ) )).++%----Definition of Part IODP (Data Properties)+fof(owl_parts_iodp_def,axiom,(+ ! [X] :+ ( iodp(X)+ <=> iext(uri_rdf_type,X,uri_owl_DatatypeProperty) ) )).++%----Semantic Condition on the Instances of Part IOXP (Ontology Properties)+fof(owl_parts_ioxp_cond_inst,axiom,(+ ! [X] :+ ( ioxp(X)+ => ! [Y,Z] :+ ( iext(X,Y,Z)+ => ( ix(Y)+ & ix(Z) ) ) ) )).++%----Semantic Condition on Part IOXP (Ontology Properties)+fof(owl_parts_ioxp_cond_set,axiom,(+ ! [X] :+ ( ioxp(X)+ => ip(X) ) )).++%----Definition of Part IOXP (Ontology Properties)+fof(owl_parts_ioxp_def,axiom,(+ ! [X] :+ ( ioxp(X)+ <=> iext(uri_rdf_type,X,uri_owl_OntologyProperty) ) )).++%----Semantic Condition on the Instances of Part IP (Properties)+fof(owl_parts_ip_cond_inst,axiom,(+ ! [X] :+ ( ip(X)+ => ! [Y,Z] :+ ( iext(X,Y,Z)+ => ( ir(Y)+ & ir(Z) ) ) ) )).++%----Semantic Condition on Part IP (Properties)+fof(owl_parts_ip_cond_set,axiom,(+ ! [X] :+ ( ip(X)+ => ir(X) ) )).++%----Definition of Part IP (Properties)+fof(owl_parts_ip_def,axiom,(+ ! [X] :+ ( ip(X)+ <=> iext(uri_rdf_type,X,uri_rdf_Property) ) )).++%----Semantic Condition on Part IR (Individuals)+fof(owl_parts_ir_cond_set,axiom,(+ ? [X] : ir(X) )).++%----Definition of Part IR (Individuals)+fof(owl_parts_ir_def,axiom,(+ ! [X] :+ ( ir(X)+ <=> iext(uri_rdf_type,X,uri_rdfs_Resource) ) )).++%----Semantic Condition on Part IX (Ontologies)+fof(owl_parts_ix_cond_set,axiom,(+ ! [X] :+ ( ix(X)+ => ir(X) ) )).++%----Definition of Part IX (Ontologies)+fof(owl_parts_ix_def,axiom,(+ ! [X] :+ ( ix(X)+ <=> iext(uri_rdf_type,X,uri_owl_Ontology) ) )).++%----Semantic Condition on Part LV (Data Values)+fof(owl_parts_lv_cond_set,axiom,(+ ! [X] :+ ( lv(X)+ => ir(X) ) )).++%----Definition of Part LV (Data Values)+fof(owl_parts_lv_def,axiom,(+ ! [X] :+ ( lv(X)+ <=> iext(uri_rdf_type,X,uri_rdfs_Literal) ) )).++%----owl:allValuesFrom+fof(owl_prop_allvaluesfrom_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_allValuesFrom,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & ic(Y) ) ) )).++fof(owl_prop_allvaluesfrom_type,axiom,(+ ip(uri_owl_allValuesFrom) )).++fof(owl_prop_complementof_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_complementOf,X,Y)+ => ( ic(X)+ & ic(Y) ) ) )).++fof(owl_prop_complementof_type,axiom,(+ ip(uri_owl_complementOf) )).++fof(owl_prop_hasvalue_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_hasValue,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & ir(Y) ) ) )).++fof(owl_prop_hasvalue_type,axiom,(+ ip(uri_owl_hasValue) )).++fof(owl_prop_intersectionof_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_intersectionOf,X,Y)+ => ( ic(X)+ & icext(uri_rdf_List,Y) ) ) )).++fof(owl_prop_intersectionof_type,axiom,(+ ip(uri_owl_intersectionOf) )).++%----owl:onProperty+fof(owl_prop_onproperty_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_onProperty,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & ip(Y) ) ) )).++fof(owl_prop_onproperty_type,axiom,(+ ip(uri_owl_onProperty) )).++fof(owl_prop_somevaluesfrom_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_someValuesFrom,X,Y)+ => ( icext(uri_owl_Restriction,X)+ & ic(Y) ) ) )).++fof(owl_prop_somevaluesfrom_type,axiom,(+ ip(uri_owl_someValuesFrom) )).++%----owl:unionOf+fof(owl_prop_unionof_ext,axiom,(+ ! [X,Y] :+ ( iext(uri_owl_unionOf,X,Y)+ => ( ic(X)+ & icext(uri_rdf_List,Y) ) ) )).++fof(owl_prop_unionof_type,axiom,(+ ip(uri_owl_unionOf) )).++%----rdfs:domain+fof(owl_rdfsext_domain,axiom,(+ ! [P,C] :+ ( iext(uri_rdfs_domain,P,C)+ <=> ( ip(P)+ & ic(C)+ & ! [X,Y] :+ ( iext(P,X,Y)+ => icext(C,X) ) ) ) )).++%----rdfs:range+fof(owl_rdfsext_range,axiom,(+ ! [P,C] :+ ( iext(uri_rdfs_range,P,C)+ <=> ( ip(P)+ & ip(C)+ & ! [X,Y] :+ ( iext(P,X,Y)+ => icext(C,Y) ) ) ) )).++%----rdfs:subClassOf+fof(owl_rdfsext_subclassof,axiom,(+ ! [C1,C2] :+ ( iext(uri_rdfs_subClassOf,C1,C2)+ <=> ( ic(C1)+ & ic(C2)+ & ! [X] :+ ( icext(C1,X)+ => icext(C2,X) ) ) ) )).++%----rdfs:subPropertyOf+fof(owl_rdfsext_subpropertyof,axiom,(+ ! [P1,P2] :+ ( iext(uri_rdfs_subPropertyOf,P1,P2)+ <=> ( ip(P1)+ & ip(P2)+ & ! [X,Y] :+ ( iext(P1,X,Y)+ => iext(P2,X,Y) ) ) ) )).++%----owl:allValuesFrom+fof(owl_restrict_allvaluesfrom,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_allValuesFrom,Z,C)+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ! [Y] :+ ( iext(P,X,Y)+ => icext(C,Y) ) ) ) )).++%----owl:hasValue+fof(owl_restrict_hasvalue,axiom,(+ ! [Z,P,A] :+ ( ( iext(uri_owl_hasValue,Z,A)+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> iext(P,X,A) ) ) )).++%----owl:someValuesFrom+fof(owl_restrict_somevaluesfrom,axiom,(+ ! [Z,P,C] :+ ( ( iext(uri_owl_someValuesFrom,Z,C)+ & iext(uri_owl_onProperty,Z,P) )+ => ! [X] :+ ( icext(Z,X)+ <=> ? [Y] :+ ( iext(P,X,Y)+ & icext(C,Y) ) ) ) )).++%----Axiomatic Triples for the Collection Vocabulary (Lists): rdf:first+fof(rdf_collection_first_type,axiom,(+ iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property) )).++%----Axiomatic Triples for the Collection Vocabulary (Lists): rdf:nil+fof(rdf_collection_nil_type,axiom,(+ iext(uri_rdf_type,uri_rdf_nil,uri_rdf_List) )).++%----Axiomatic Triples for the Collection Vocabulary (Lists): rdf:rest+fof(rdf_collection_rest_type,axiom,(+ iext(uri_rdf_type,uri_rdf_rest,uri_rdf_Property) )).++%----Axiomatic Triples for the Container Vocabulary: rdf:_n+fof(rdf_container_n_type_001,axiom,(+ iext(uri_rdf_type,uri_rdf__1,uri_rdf_Property) )).++%----Axiomatic Triples for the Container Vocabulary: rdf:_n+fof(rdf_container_n_type_002,axiom,(+ iext(uri_rdf_type,uri_rdf__2,uri_rdf_Property) )).++%----Axiomatic Triples for the Container Vocabulary: rdf:_n+fof(rdf_container_n_type_003,axiom,(+ iext(uri_rdf_type,uri_rdf__3,uri_rdf_Property) )).++%----Axiomatic Triples for the Reification Vocabulary: rdf:object+fof(rdf_reification_object_type,axiom,(+ iext(uri_rdf_type,uri_rdf_object,uri_rdf_Property) )).++%----Axiomatic Triples for rdf:value--+fof(rdf_reification_predicate_type,axiom,(+ iext(uri_rdf_type,uri_rdf_value,uri_rdf_Property) )).++%----Axiomatic Triples for the Reification Vocabulary: rdf:subject+fof(rdf_reification_subject_type,axiom,(+ iext(uri_rdf_type,uri_rdf_subject,uri_rdf_Property) )).++%----IP and rdf:Property+fof(rdf_type_ip,axiom,(+ ! [P] :+ ( iext(uri_rdf_type,P,uri_rdf_Property)+ <=> ip(P) ) )).++%----Axiomatic Triple for rdf:type+fof(rdf_type_type,axiom,(+ iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property) )).++%----Axiomatic Triple for rdf:type+fof(rdf_value_type,axiom,(+ iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property) )).++fof(rdfs_annotation_comment_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_comment,uri_rdfs_Resource) )).++fof(rdfs_annotation_comment_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_comment,uri_rdfs_Literal) )).++fof(rdfs_annotation_isdefinedby_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_isDefinedBy,uri_rdfs_Resource) )).++fof(rdfs_annotation_isdefinedby_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_isDefinedBy,uri_rdfs_Resource) )).++fof(rdfs_annotation_isdefinedby_sub,axiom,(+ iext(uri_rdfs_subPropertyOf,uri_rdfs_isDefinedBy,uri_rdfs_seeAlso) )).++fof(rdfs_annotation_label_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_label,uri_rdfs_Resource) )).++fof(rdfs_annotation_label_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_label,uri_rdfs_Literal) )).++fof(rdfs_annotation_seealso_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_seeAlso,uri_rdfs_Resource) )).++fof(rdfs_annotation_seealso_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_seeAlso,uri_rdfs_Resource) )).++%----Definition of ICEXT+fof(rdfs_cext_def,axiom,(+ ! [X,C] :+ ( iext(uri_rdf_type,X,C)+ <=> icext(C,X) ) )).++%----IC and rdfs:Resource+fof(rdfs_class_instsub_resource,axiom,(+ ! [C] :+ ( ic(C)+ => iext(uri_rdfs_subClassOf,C,uri_rdfs_Resource) ) )).++%----IC and rdfs:Resource+fof(rdfs_collection_first_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_first,uri_rdf_List) )).++%----IC and rdfs:Resource+fof(rdfs_collection_first_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_first,uri_rdfs_Resource) )).++fof(rdfs_collection_rest_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_rest,uri_rdf_List) )).++fof(rdfs_collection_rest_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_rest,uri_rdf_List) )).++fof(rdfs_container_alt_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdf_Alt,uri_rdfs_Container) )).++fof(rdfs_container_bag_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdf_Bag,uri_rdfs_Container) )).++%----rdfs:ContainerMembershipProperty+fof(rdfs_container_containermembershipproperty_instsub_member,axiom,(+ ! [P] :+ ( icext(uri_rdfs_ContainerMembershipProperty,P)+ => iext(uri_rdfs_subPropertyOf,P,uri_rdfs_member) ) )).++fof(rdfs_container_containermembershipproperty_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property) )).++fof(rdfs_container_member_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_member,uri_rdfs_Resource) )).++fof(rdfs_container_member_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_member,uri_rdfs_Resource) )).++fof(rdfs_container_n_domain_001,axiom,(+ iext(uri_rdfs_domain,uri_rdf__1,uri_rdfs_Resource) )).++fof(rdfs_container_n_domain_002,axiom,(+ iext(uri_rdfs_domain,uri_rdf__2,uri_rdfs_Resource) )).++fof(rdfs_container_n_domain_003,axiom,(+ iext(uri_rdfs_domain,uri_rdf__3,uri_rdfs_Resource) )).++fof(rdfs_container_n_range_001,axiom,(+ iext(uri_rdfs_range,uri_rdf__1,uri_rdfs_Resource) )).++fof(rdfs_container_n_range_002,axiom,(+ iext(uri_rdfs_range,uri_rdf__2,uri_rdfs_Resource) )).++fof(rdfs_container_n_range_003,axiom,(+ iext(uri_rdfs_range,uri_rdf__3,uri_rdfs_Resource) )).++fof(rdfs_container_n_type_001,axiom,(+ iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty) )).++fof(rdfs_container_n_type_002,axiom,(+ iext(uri_rdf_type,uri_rdf__2,uri_rdfs_ContainerMembershipProperty) )).++fof(rdfs_container_n_type_003,axiom,(+ iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty) )).++fof(rdfs_container_seq_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdfs_Seq,uri_rdfs_Container) )).++fof(rdfs_dat_xmlliteral_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdf_XMLLiteral,uri_rdfs_Literal) )).++%----type of rdf:XMLLiteral+fof(rdfs_dat_xmlliteral_type,axiom,(+ iext(uri_rdf_type,uri_rdf_XMLLiteral,uri_rdfs_Datatype) )).++%----rdfs:Datatype and rdfs:Literal+fof(rdfs_datatype_instsub_literal,axiom,(+ ! [D] :+ ( icext(uri_rdfs_Datatype,D)+ => iext(uri_rdfs_subClassOf,D,uri_rdfs_Literal) ) )).++%----rdfs:Datatype is a sub class of rdfs:Class+fof(rdfs_datatype_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_rdfs_Class) )).++%----domain of rdfs:domain+fof(rdfs_domain_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property) )).++%----Semantic Condition for rdfs:domain+fof(rdfs_domain_main,axiom,(+ ! [P,C,X,Y] :+ ( ( iext(uri_rdfs_domain,P,C)+ & iext(P,X,Y) )+ => icext(C,X) ) )).++%----range of rdfs:domain+fof(rdfs_domain_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_domain,uri_rdfs_Class) )).++%----Definition of set IC based on class extensions of rdfs:Class+fof(rdfs_ic_def,axiom,(+ ! [X] :+ ( ic(X)+ <=> icext(uri_rdfs_Class,X) ) )).++%----Definition of set IR based on class extensions of rdfs:Resource+fof(rdfs_ir_def,axiom,(+ ! [X] :+ ( ir(X)+ <=> icext(uri_rdfs_Resource,X) ) )).++%----Definition of set LV based on class extensions of rdfs:Literal+fof(rdfs_lv_def,axiom,(+ ! [X] :+ ( lv(X)+ <=> icext(uri_rdfs_Literal,X) ) )).++%----type of rdf:Property (derivable RDFS-valid triple)+fof(rdfs_property_type,axiom,(+ iext(uri_rdf_type,uri_rdf_Property,uri_rdfs_Class) )).++%----domain of rdfs:range+fof(rdfs_range_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_range,uri_rdf_Property) )).++%----Semantic Condition for rdfs:range+fof(rdfs_range_main,axiom,(+ ! [P,C,X,Y] :+ ( ( iext(uri_rdfs_range,P,C)+ & iext(P,X,Y) )+ => icext(C,Y) ) )).++%----range of rdfs:range+fof(rdfs_range_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_range,uri_rdfs_Class) )).++fof(rdfs_reification_object_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_object,uri_rdfs_Statement) )).++fof(rdfs_reification_object_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource) )).++fof(rdfs_reification_predicate_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_predicate,uri_rdfs_Statement) )).++fof(rdfs_reification_predicate_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource) )).++fof(rdfs_reification_subject_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_subject,uri_rdfs_Statement) )).++fof(rdfs_reification_subject_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_subject,uri_rdfs_Resource) )).++%----domain of rdfs:subClassOf+fof(rdfs_subclassof_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class) )).++%----Main Semantic Conditions for rdfs:subClassOf+fof(rdfs_subclassof_main,axiom,(+ ! [C,D] :+ ( iext(uri_rdfs_subClassOf,C,D)+ => ( ic(C)+ & ic(D)+ & ! [X] :+ ( icext(C,X)+ => icext(D,X) ) ) ) )).++%----range of rdfs:subClassOf+fof(rdfs_subclassof_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class) )).++%----Reflexivity of rdfs:subClassOf on IC+fof(rdfs_subclassof_reflex,axiom,(+ ! [C] :+ ( ic(C)+ => iext(uri_rdfs_subClassOf,C,C) ) )).++%----Transitivity of rdfs:subClassOf on IC+fof(rdfs_subclassof_trans,axiom,(+ ! [C,D,E] :+ ( ( iext(uri_rdfs_subClassOf,C,D)+ & iext(uri_rdfs_subClassOf,D,E) )+ => iext(uri_rdfs_subClassOf,C,E) ) )).++%----domain of rdfs:subPropertyOf+fof(rdfs_subpropertyof_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_subPropertyOf,uri_rdf_Property) )).++%----Main Semantic Condition for rdfs:subPropertyOf+fof(rdfs_subpropertyof_main,axiom,(+ ! [P,Q] :+ ( iext(uri_rdfs_subPropertyOf,P,Q)+ => ( ip(P)+ & ip(Q)+ & ! [X,Y] :+ ( iext(P,X,Y)+ => iext(Q,X,Y) ) ) ) )).++%----range of rdfs:subPropertyOf+fof(rdfs_subpropertyof_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property) )).++%----Reflexivity of rdfs:subPropertyOf on IP+fof(rdfs_subpropertyof_reflex,axiom,(+ ! [P] :+ ( ip(P)+ => iext(uri_rdfs_subPropertyOf,P,P) ) )).++%----Transitivity of rdfs:subPropertyOf on IP+fof(rdfs_subpropertyof_trans,axiom,(+ ! [P,Q,R] :+ ( ( iext(uri_rdfs_subPropertyOf,P,Q)+ & iext(uri_rdfs_subPropertyOf,Q,R) )+ => iext(uri_rdfs_subPropertyOf,P,R) ) )).++%----domain of rdf:type+fof(rdfs_type_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_type,uri_rdfs_Resource) )).++%----range of rdf:type+fof(rdfs_type_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class) )).++fof(rdfs_value_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_value,uri_rdfs_Resource) )).++fof(rdfs_value_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_value,uri_rdfs_Resource) )).++%----I(s p o) = true -> I(p) in IP+%----Note: the "iext" predicate seems to represent a true triple,+%----not quite the IEXT mapping [CHECK!]+fof(simple_iext_property,axiom,(+ ! [S,P,O] :+ ( iext(P,S,O)+ => ip(P) ) )).++%----Set IR+%----The set IR is the set of all resources.+fof(simple_ir,axiom,(+ ! [X] : ir(X) )).++%----Set LV+%----The set LV of all data values is a subset of IR.+fof(simple_lv,axiom,(+ ! [X] :+ ( lv(X)+ => ir(X) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWB003+0.ax view
@@ -0,0 +1,365 @@+%------------------------------------------------------------------------------+% File : SWB003+0 : TPTP v7.2.0. Released v5.2.0.+% Domain : Semantic Web+% Axioms : RDFS+% Version : [Sch03] axioms : Especial.+% English :++% Refs : [Sch03] Schneider, M. (2011), Email to G. Sutcliffe+% Source : [Sch03]+% Names : axioms-rdfs-standard [Sch03]++% Status : Satisfiable+% Syntax : Number of formulae : 80 ( 62 unit)+% Number of atoms : 108 ( 0 equality)+% Maximal formula depth : 9 ( 2 average)+% Number of connectives : 28 ( 0 ~; 0 |; 8 &)+% ( 5 <=>; 15 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 6 ( 0 propositional; 1-3 arity)+% Number of functors : 33 ( 33 constant; 0-0 arity)+% Number of variables : 37 ( 0 sgn; 37 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : FOF_SAT_EPR++% Comments :+%------------------------------------------------------------------------------+%----I(s p o) = true -> I(p) in IP+%----Note: the "iext" predicate seems to represent a true triple,+%----not quite the IEXT mapping [CHECK!]+fof(simple_iext_property,axiom,(+ ! [S,P,O] :+ ( iext(P,S,O)+ => ip(P) ) )).++%----Set IR+%----The set IR is the set of all resources.++fof(simple_ir,axiom,(+ ! [X] : ir(X) )).++%----Set LV+%----The set LV of all data values is a subset of IR.+fof(simple_lv,axiom,(+ ! [X] :+ ( lv(X)+ => ir(X) ) )).++%----Axiomatic Triples for the Collection Vocabulary (Lists): rdf:first+fof(rdf_collection_first_type,axiom,(+ iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property) )).++%----Axiomatic Triples for the Collection Vocabulary (Lists): rdf:nil+fof(rdf_collection_nil_type,axiom,(+ iext(uri_rdf_type,uri_rdf_nil,uri_rdf_List) )).++%----Axiomatic Triples for the Collection Vocabulary (Lists): rdf:rest+fof(rdf_collection_rest_type,axiom,(+ iext(uri_rdf_type,uri_rdf_rest,uri_rdf_Property) )).++%----Axiomatic Triples for the Container Vocabulary: rdf:_n+fof(rdf_container_n_type_001,axiom,(+ iext(uri_rdf_type,uri_rdf__1,uri_rdf_Property) )).++%----Axiomatic Triples for the Container Vocabulary: rdf:_n+fof(rdf_container_n_type_002,axiom,(+ iext(uri_rdf_type,uri_rdf__2,uri_rdf_Property) )).++%----Axiomatic Triples for the Container Vocabulary: rdf:_n+fof(rdf_container_n_type_003,axiom,(+ iext(uri_rdf_type,uri_rdf__3,uri_rdf_Property) )).++%----Axiomatic Triples for the Reification Vocabulary: rdf:object+fof(rdf_reification_object_type,axiom,(+ iext(uri_rdf_type,uri_rdf_object,uri_rdf_Property) )).++%----Axiomatic Triples for rdf:value--+fof(rdf_reification_predicate_type,axiom,(+ iext(uri_rdf_type,uri_rdf_value,uri_rdf_Property) )).++%----Axiomatic Triples for the Reification Vocabulary: rdf:subject+fof(rdf_reification_subject_type,axiom,(+ iext(uri_rdf_type,uri_rdf_subject,uri_rdf_Property) )).++%----IP and rdf:Property+fof(rdf_type_ip,axiom,(+ ! [P] :+ ( iext(uri_rdf_type,P,uri_rdf_Property)+ <=> ip(P) ) )).++%----Axiomatic Triple for rdf:type+fof(rdf_type_type,axiom,(+ iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property) )).++%----Axiomatic Triple for rdf:type+fof(rdf_value_type,axiom,(+ iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property) )).++fof(rdfs_annotation_comment_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_comment,uri_rdfs_Resource) )).++fof(rdfs_annotation_comment_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_comment,uri_rdfs_Literal) )).++fof(rdfs_annotation_isdefinedby_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_isDefinedBy,uri_rdfs_Resource) )).++fof(rdfs_annotation_isdefinedby_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_isDefinedBy,uri_rdfs_Resource) )).++fof(rdfs_annotation_isdefinedby_sub,axiom,(+ iext(uri_rdfs_subPropertyOf,uri_rdfs_isDefinedBy,uri_rdfs_seeAlso) )).++fof(rdfs_annotation_label_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_label,uri_rdfs_Resource) )).++fof(rdfs_annotation_label_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_label,uri_rdfs_Literal) )).++fof(rdfs_annotation_seealso_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_seeAlso,uri_rdfs_Resource) )).++fof(rdfs_annotation_seealso_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_seeAlso,uri_rdfs_Resource) )).++%----Definition of ICEXT+fof(rdfs_cext_def,axiom,(+ ! [X,C] :+ ( iext(uri_rdf_type,X,C)+ <=> icext(C,X) ) )).++%----IC and rdfs:Resource+fof(rdfs_class_instsub_resource,axiom,(+ ! [C] :+ ( ic(C)+ => iext(uri_rdfs_subClassOf,C,uri_rdfs_Resource) ) )).++%----IC and rdfs:Resource+fof(rdfs_collection_first_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_first,uri_rdf_List) )).++%----IC and rdfs:Resource+fof(rdfs_collection_first_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_first,uri_rdfs_Resource) )).++fof(rdfs_collection_rest_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_rest,uri_rdf_List) )).++fof(rdfs_collection_rest_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_rest,uri_rdf_List) )).++fof(rdfs_container_alt_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdf_Alt,uri_rdfs_Container) )).++fof(rdfs_container_bag_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdf_Bag,uri_rdfs_Container) )).++%----rdfs:ContainerMembershipProperty+fof(rdfs_container_containermembershipproperty_instsub_member,axiom,(+ ! [P] :+ ( icext(uri_rdfs_ContainerMembershipProperty,P)+ => iext(uri_rdfs_subPropertyOf,P,uri_rdfs_member) ) )).++fof(rdfs_container_containermembershipproperty_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property) )).++fof(rdfs_container_member_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_member,uri_rdfs_Resource) )).++fof(rdfs_container_member_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_member,uri_rdfs_Resource) )).++fof(rdfs_container_n_domain_001,axiom,(+ iext(uri_rdfs_domain,uri_rdf__1,uri_rdfs_Resource) )).++fof(rdfs_container_n_domain_002,axiom,(+ iext(uri_rdfs_domain,uri_rdf__2,uri_rdfs_Resource) )).++fof(rdfs_container_n_domain_003,axiom,(+ iext(uri_rdfs_domain,uri_rdf__3,uri_rdfs_Resource) )).++fof(rdfs_container_n_range_001,axiom,(+ iext(uri_rdfs_range,uri_rdf__1,uri_rdfs_Resource) )).++fof(rdfs_container_n_range_002,axiom,(+ iext(uri_rdfs_range,uri_rdf__2,uri_rdfs_Resource) )).++fof(rdfs_container_n_range_003,axiom,(+ iext(uri_rdfs_range,uri_rdf__3,uri_rdfs_Resource) )).++fof(rdfs_container_n_type_001,axiom,(+ iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty) )).++fof(rdfs_container_n_type_002,axiom,(+ iext(uri_rdf_type,uri_rdf__2,uri_rdfs_ContainerMembershipProperty) )).++fof(rdfs_container_n_type_003,axiom,(+ iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty) )).++fof(rdfs_container_seq_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdfs_Seq,uri_rdfs_Container) )).++fof(rdfs_dat_xmlliteral_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdf_XMLLiteral,uri_rdfs_Literal) )).++%----type of rdf:XMLLiteral+fof(rdfs_dat_xmlliteral_type,axiom,(+ iext(uri_rdf_type,uri_rdf_XMLLiteral,uri_rdfs_Datatype) )).++%----rdfs:Datatype and rdfs:Literal+fof(rdfs_datatype_instsub_literal,axiom,(+ ! [D] :+ ( icext(uri_rdfs_Datatype,D)+ => iext(uri_rdfs_subClassOf,D,uri_rdfs_Literal) ) )).++%----rdfs:Datatype is a sub class of rdfs:Class+fof(rdfs_datatype_sub,axiom,(+ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_rdfs_Class) )).++%----domain of rdfs:domain+fof(rdfs_domain_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property) )).++%----Semantic Condition for rdfs:domain+fof(rdfs_domain_main,axiom,(+ ! [P,C,X,Y] :+ ( ( iext(uri_rdfs_domain,P,C)+ & iext(P,X,Y) )+ => icext(C,X) ) )).++%----range of rdfs:domain+fof(rdfs_domain_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_domain,uri_rdfs_Class) )).++%----Definition of set IC based on class extensions of rdfs:Class+fof(rdfs_ic_def,axiom,(+ ! [X] :+ ( ic(X)+ <=> icext(uri_rdfs_Class,X) ) )).++%----Definition of set IR based on class extensions of rdfs:Resource+fof(rdfs_ir_def,axiom,(+ ! [X] :+ ( ir(X)+ <=> icext(uri_rdfs_Resource,X) ) )).++%----Definition of set LV based on class extensions of rdfs:Literal+fof(rdfs_lv_def,axiom,(+ ! [X] :+ ( lv(X)+ <=> icext(uri_rdfs_Literal,X) ) )).++%----type of rdf:Property (derivable RDFS-valid triple)+fof(rdfs_property_type,axiom,(+ iext(uri_rdf_type,uri_rdf_Property,uri_rdfs_Class) )).++%----domain of rdfs:range+fof(rdfs_range_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_range,uri_rdf_Property) )).++%----Semantic Condition for rdfs:range+fof(rdfs_range_main,axiom,(+ ! [P,C,X,Y] :+ ( ( iext(uri_rdfs_range,P,C)+ & iext(P,X,Y) )+ => icext(C,Y) ) )).++%----range of rdfs:range+fof(rdfs_range_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_range,uri_rdfs_Class) )).++fof(rdfs_reification_object_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_object,uri_rdfs_Statement) )).++fof(rdfs_reification_object_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource) )).++fof(rdfs_reification_predicate_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_predicate,uri_rdfs_Statement) )).++fof(rdfs_reification_predicate_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource) )).++fof(rdfs_reification_subject_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_subject,uri_rdfs_Statement) )).++fof(rdfs_reification_subject_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_subject,uri_rdfs_Resource) )).++%----domain of rdfs:subClassOf+fof(rdfs_subclassof_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class) )).++%----Main Semantic Conditions for rdfs:subClassOf+fof(rdfs_subclassof_main,axiom,(+ ! [C,D] :+ ( iext(uri_rdfs_subClassOf,C,D)+ => ( ic(C)+ & ic(D)+ & ! [X] :+ ( icext(C,X)+ => icext(D,X) ) ) ) )).++%----range of rdfs:subClassOf+fof(rdfs_subclassof_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class) )).++%----Reflexivity of rdfs:subClassOf on IC+fof(rdfs_subclassof_reflex,axiom,(+ ! [C] :+ ( ic(C)+ => iext(uri_rdfs_subClassOf,C,C) ) )).++%----Transitivity of rdfs:subClassOf on IC+fof(rdfs_subclassof_trans,axiom,(+ ! [C,D,E] :+ ( ( iext(uri_rdfs_subClassOf,C,D)+ & iext(uri_rdfs_subClassOf,D,E) )+ => iext(uri_rdfs_subClassOf,C,E) ) )).++%----domain of rdfs:subPropertyOf+fof(rdfs_subpropertyof_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdfs_subPropertyOf,uri_rdf_Property) )).++%----Main Semantic Condition for rdfs:subPropertyOf+fof(rdfs_subpropertyof_main,axiom,(+ ! [P,Q] :+ ( iext(uri_rdfs_subPropertyOf,P,Q)+ => ( ip(P)+ & ip(Q)+ & ! [X,Y] :+ ( iext(P,X,Y)+ => iext(Q,X,Y) ) ) ) )).++%----range of rdfs:subPropertyOf+fof(rdfs_subpropertyof_range,axiom,(+ iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property) )).++%----Reflexivity of rdfs:subPropertyOf on IP+fof(rdfs_subpropertyof_reflex,axiom,(+ ! [P] :+ ( ip(P)+ => iext(uri_rdfs_subPropertyOf,P,P) ) )).++%----Transitivity of rdfs:subPropertyOf on IP+fof(rdfs_subpropertyof_trans,axiom,(+ ! [P,Q,R] :+ ( ( iext(uri_rdfs_subPropertyOf,P,Q)+ & iext(uri_rdfs_subPropertyOf,Q,R) )+ => iext(uri_rdfs_subPropertyOf,P,R) ) )).++%----domain of rdf:type+fof(rdfs_type_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_type,uri_rdfs_Resource) )).++%----range of rdf:type+fof(rdfs_type_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class) )).++fof(rdfs_value_domain,axiom,(+ iext(uri_rdfs_domain,uri_rdf_value,uri_rdfs_Resource) )).++fof(rdfs_value_range,axiom,(+ iext(uri_rdfs_range,uri_rdf_value,uri_rdfs_Resource) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWB003+1.ax view
@@ -0,0 +1,67 @@+%------------------------------------------------------------------------------+% File : SWB003+1 : TPTP v7.2.0. Released v5.2.0.+% Domain : Semantic Web+% Axioms : RDFS Extensional axioms+% Version : [Sch03] axioms : Especial.+% English :++% Refs : [Sch03] Schneider, M. (2011), Email to G. Sutcliffe+% Source : [Sch03]+% Names : axioms-rdfsext-standard [Sch03]++% Status : Satisfiable+% Syntax : Number of formulae : 4 ( 0 unit)+% Number of atoms : 20 ( 0 equality)+% Maximal formula depth : 9 ( 9 average)+% Number of connectives : 16 ( 0 ~; 0 |; 8 &)+% ( 4 <=>; 4 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 4 ( 0 propositional; 1-3 arity)+% Number of functors : 4 ( 4 constant; 0-0 arity)+% Number of variables : 15 ( 0 sgn; 15 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : FOF_SAT_RFO_NEQ++% Comments : Requires SWB003+0.ax+%------------------------------------------------------------------------------+%----rdfs:domain+fof(owl_rdfsext_domain,axiom,(+ ! [P,C] :+ ( iext(uri_rdfs_domain,P,C)+ <=> ( ip(P)+ & ic(C)+ & ! [X,Y] :+ ( iext(P,X,Y)+ => icext(C,X) ) ) ) )).++%----rdfs:range+fof(owl_rdfsext_range,axiom,(+ ! [P,C] :+ ( iext(uri_rdfs_range,P,C)+ <=> ( ip(P)+ & ip(C)+ & ! [X,Y] :+ ( iext(P,X,Y)+ => icext(C,Y) ) ) ) )).++%----rdfs:subClassOf+fof(owl_rdfsext_subclassof,axiom,(+ ! [C1,C2] :+ ( iext(uri_rdfs_subClassOf,C1,C2)+ <=> ( ic(C1)+ & ic(C2)+ & ! [X] :+ ( icext(C1,X)+ => icext(C2,X) ) ) ) )).++%----rdfs:subPropertyOf+fof(owl_rdfsext_subpropertyof,axiom,(+ ! [P1,P2] :+ ( iext(uri_rdfs_subPropertyOf,P1,P2)+ <=> ( ip(P1)+ & ip(P2)+ & ! [X,Y] :+ ( iext(P1,X,Y)+ => iext(P2,X,Y) ) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWC001+0.ax view
@@ -0,0 +1,815 @@+%--------------------------------------------------------------------------+% File : SWC001+0 : TPTP v7.2.0. Released v2.4.0.+% Domain : Software Creation+% Axioms : List specification+% Version : [Wei00] axioms.+% English : Components in a software library specified in first-order logic++% Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve+% : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon+% Source : [Wei00]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 95 ( 9 unit)+% Number of atoms : 394 ( 71 equality)+% Maximal formula depth : 17 ( 6 average)+% Number of connectives : 323 ( 24 ~ ; 8 |; 38 &)+% ( 26 <=>; 227 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 20 ( 0 propositional; 1-2 arity)+% Number of functors : 5 ( 1 constant; 0-2 arity)+% Number of variables : 203 ( 0 singleton; 190 !; 13 ?)+% Maximal term depth : 4 ( 1 average)+% SPC : ++% Comments :+%--------------------------------------------------------------------------+fof(ax1,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ( neq(U,V)+ <=> U != V ) ) ) )).++fof(ax2,axiom,+ ( ? [U] :+ ( ssItem(U)+ & ? [V] :+ ( ssItem(V)+ & U != V ) ) )).++fof(ax3,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssItem(V)+ => ( memberP(U,V)+ <=> ? [W] :+ ( ssList(W)+ & ? [X] :+ ( ssList(X)+ & app(W,cons(V,X)) = U ) ) ) ) ) )).++fof(ax4,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( singletonP(U)+ <=> ? [V] :+ ( ssItem(V)+ & cons(V,nil) = U ) ) ) )).++fof(ax5,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ( frontsegP(U,V)+ <=> ? [W] :+ ( ssList(W)+ & app(V,W) = U ) ) ) ) )).++fof(ax6,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ( rearsegP(U,V)+ <=> ? [W] :+ ( ssList(W)+ & app(W,V) = U ) ) ) ) )).++fof(ax7,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ( segmentP(U,V)+ <=> ? [W] :+ ( ssList(W)+ & ? [X] :+ ( ssList(X)+ & app(app(W,V),X) = U ) ) ) ) ) )).++fof(ax8,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( cyclefreeP(U)+ <=> ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ! [X] :+ ( ssList(X)+ => ! [Y] :+ ( ssList(Y)+ => ! [Z] :+ ( ssList(Z)+ => ( app(app(X,cons(V,Y)),cons(W,Z)) = U+ => ~ ( leq(V,W)+ & leq(W,V) ) ) ) ) ) ) ) ) ) )).++fof(ax9,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( totalorderP(U)+ <=> ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ! [X] :+ ( ssList(X)+ => ! [Y] :+ ( ssList(Y)+ => ! [Z] :+ ( ssList(Z)+ => ( app(app(X,cons(V,Y)),cons(W,Z)) = U+ => ( leq(V,W)+ | leq(W,V) ) ) ) ) ) ) ) ) ) )).++fof(ax10,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( strictorderP(U)+ <=> ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ! [X] :+ ( ssList(X)+ => ! [Y] :+ ( ssList(Y)+ => ! [Z] :+ ( ssList(Z)+ => ( app(app(X,cons(V,Y)),cons(W,Z)) = U+ => ( lt(V,W)+ | lt(W,V) ) ) ) ) ) ) ) ) ) )).++fof(ax11,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( totalorderedP(U)+ <=> ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ! [X] :+ ( ssList(X)+ => ! [Y] :+ ( ssList(Y)+ => ! [Z] :+ ( ssList(Z)+ => ( app(app(X,cons(V,Y)),cons(W,Z)) = U+ => leq(V,W) ) ) ) ) ) ) ) ) )).++fof(ax12,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( strictorderedP(U)+ <=> ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ! [X] :+ ( ssList(X)+ => ! [Y] :+ ( ssList(Y)+ => ! [Z] :+ ( ssList(Z)+ => ( app(app(X,cons(V,Y)),cons(W,Z)) = U+ => lt(V,W) ) ) ) ) ) ) ) ) )).++fof(ax13,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( duplicatefreeP(U)+ <=> ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ! [X] :+ ( ssList(X)+ => ! [Y] :+ ( ssList(Y)+ => ! [Z] :+ ( ssList(Z)+ => ( app(app(X,cons(V,Y)),cons(W,Z)) = U+ => V != W ) ) ) ) ) ) ) ) )).++fof(ax14,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( equalelemsP(U)+ <=> ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ! [X] :+ ( ssList(X)+ => ! [Y] :+ ( ssList(Y)+ => ( app(X,cons(V,cons(W,Y))) = U+ => V = W ) ) ) ) ) ) ) )).++fof(ax15,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ( neq(U,V)+ <=> U != V ) ) ) )).++fof(ax16,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssItem(V)+ => ssList(cons(V,U)) ) ) )).++fof(ax17,axiom,+ ( ssList(nil) )).++fof(ax18,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssItem(V)+ => cons(V,U) != U ) ) )).++fof(ax19,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssItem(W)+ => ! [X] :+ ( ssItem(X)+ => ( cons(W,U) = cons(X,V)+ => ( W = X+ & V = U ) ) ) ) ) ) )).++fof(ax20,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( nil = U+ | ? [V] :+ ( ssList(V)+ & ? [W] :+ ( ssItem(W)+ & cons(W,V) = U ) ) ) ) )).++fof(ax21,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssItem(V)+ => nil != cons(V,U) ) ) )).++fof(ax22,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( nil != U+ => ssItem(hd(U)) ) ) )).++fof(ax23,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssItem(V)+ => hd(cons(V,U)) = V ) ) )).++fof(ax24,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( nil != U+ => ssList(tl(U)) ) ) )).++fof(ax25,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssItem(V)+ => tl(cons(V,U)) = U ) ) )).++fof(ax26,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ssList(app(U,V)) ) ) )).++fof(ax27,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssItem(W)+ => cons(W,app(V,U)) = app(cons(W,V),U) ) ) ) )).++fof(ax28,axiom,+ ( ! [U] :+ ( ssList(U)+ => app(nil,U) = U ) )).++fof(ax29,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ( ( leq(U,V)+ & leq(V,U) )+ => U = V ) ) ) )).++fof(ax30,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ( ( leq(U,V)+ & leq(V,W) )+ => leq(U,W) ) ) ) ) )).++fof(ax31,axiom,+ ( ! [U] :+ ( ssItem(U)+ => leq(U,U) ) )).++fof(ax32,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ( geq(U,V)+ <=> leq(V,U) ) ) ) )).++fof(ax33,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ( lt(U,V)+ => ~ lt(V,U) ) ) ) )).++fof(ax34,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ( ( lt(U,V)+ & lt(V,W) )+ => lt(U,W) ) ) ) ) )).++fof(ax35,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ( gt(U,V)+ <=> lt(V,U) ) ) ) )).++fof(ax36,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssList(W)+ => ( memberP(app(V,W),U)+ <=> ( memberP(V,U)+ | memberP(W,U) ) ) ) ) ) )).++fof(ax37,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssList(W)+ => ( memberP(cons(V,W),U)+ <=> ( U = V+ | memberP(W,U) ) ) ) ) ) )).++fof(ax38,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ~ memberP(nil,U) ) )).++fof(ax39,axiom,+ ( ~ singletonP(nil) )).++fof(ax40,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssList(W)+ => ( ( frontsegP(U,V)+ & frontsegP(V,W) )+ => frontsegP(U,W) ) ) ) ) )).++fof(ax41,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ( ( frontsegP(U,V)+ & frontsegP(V,U) )+ => U = V ) ) ) )).++fof(ax42,axiom,+ ( ! [U] :+ ( ssList(U)+ => frontsegP(U,U) ) )).++fof(ax43,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssList(W)+ => ( frontsegP(U,V)+ => frontsegP(app(U,W),V) ) ) ) ) )).++fof(ax44,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssList(W)+ => ! [X] :+ ( ssList(X)+ => ( frontsegP(cons(U,W),cons(V,X))+ <=> ( U = V+ & frontsegP(W,X) ) ) ) ) ) ) )).++fof(ax45,axiom,+ ( ! [U] :+ ( ssList(U)+ => frontsegP(U,nil) ) )).++fof(ax46,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( frontsegP(nil,U)+ <=> nil = U ) ) )).++fof(ax47,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssList(W)+ => ( ( rearsegP(U,V)+ & rearsegP(V,W) )+ => rearsegP(U,W) ) ) ) ) )).++fof(ax48,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ( ( rearsegP(U,V)+ & rearsegP(V,U) )+ => U = V ) ) ) )).++fof(ax49,axiom,+ ( ! [U] :+ ( ssList(U)+ => rearsegP(U,U) ) )).++fof(ax50,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssList(W)+ => ( rearsegP(U,V)+ => rearsegP(app(W,U),V) ) ) ) ) )).++fof(ax51,axiom,+ ( ! [U] :+ ( ssList(U)+ => rearsegP(U,nil) ) )).++fof(ax52,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( rearsegP(nil,U)+ <=> nil = U ) ) )).++fof(ax53,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssList(W)+ => ( ( segmentP(U,V)+ & segmentP(V,W) )+ => segmentP(U,W) ) ) ) ) )).++fof(ax54,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ( ( segmentP(U,V)+ & segmentP(V,U) )+ => U = V ) ) ) )).++fof(ax55,axiom,+ ( ! [U] :+ ( ssList(U)+ => segmentP(U,U) ) )).++fof(ax56,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssList(W)+ => ! [X] :+ ( ssList(X)+ => ( segmentP(U,V)+ => segmentP(app(app(W,U),X),V) ) ) ) ) ) )).++fof(ax57,axiom,+ ( ! [U] :+ ( ssList(U)+ => segmentP(U,nil) ) )).++fof(ax58,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( segmentP(nil,U)+ <=> nil = U ) ) )).++fof(ax59,axiom,+ ( ! [U] :+ ( ssItem(U)+ => cyclefreeP(cons(U,nil)) ) )).++fof(ax60,axiom,+ ( cyclefreeP(nil) )).++fof(ax61,axiom,+ ( ! [U] :+ ( ssItem(U)+ => totalorderP(cons(U,nil)) ) )).++fof(ax62,axiom,+ ( totalorderP(nil) )).++fof(ax63,axiom,+ ( ! [U] :+ ( ssItem(U)+ => strictorderP(cons(U,nil)) ) )).++fof(ax64,axiom,+ ( strictorderP(nil) )).++fof(ax65,axiom,+ ( ! [U] :+ ( ssItem(U)+ => totalorderedP(cons(U,nil)) ) )).++fof(ax66,axiom,+ ( totalorderedP(nil) )).++fof(ax67,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssList(V)+ => ( totalorderedP(cons(U,V))+ <=> ( nil = V+ | ( nil != V+ & totalorderedP(V)+ & leq(U,hd(V)) ) ) ) ) ) )).++fof(ax68,axiom,+ ( ! [U] :+ ( ssItem(U)+ => strictorderedP(cons(U,nil)) ) )).++fof(ax69,axiom,+ ( strictorderedP(nil) )).++fof(ax70,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssList(V)+ => ( strictorderedP(cons(U,V))+ <=> ( nil = V+ | ( nil != V+ & strictorderedP(V)+ & lt(U,hd(V)) ) ) ) ) ) )).++fof(ax71,axiom,+ ( ! [U] :+ ( ssItem(U)+ => duplicatefreeP(cons(U,nil)) ) )).++fof(ax72,axiom,+ ( duplicatefreeP(nil) )).++fof(ax73,axiom,+ ( ! [U] :+ ( ssItem(U)+ => equalelemsP(cons(U,nil)) ) )).++fof(ax74,axiom,+ ( equalelemsP(nil) )).++fof(ax75,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( nil != U+ => ? [V] :+ ( ssItem(V)+ & hd(U) = V ) ) ) )).++fof(ax76,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( nil != U+ => ? [V] :+ ( ssList(V)+ & tl(U) = V ) ) ) )).++fof(ax77,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ( ( nil != V+ & nil != U+ & hd(V) = hd(U)+ & tl(V) = tl(U) )+ => V = U ) ) ) )).++fof(ax78,axiom,+ ( ! [U] :+ ( ssList(U)+ => ( nil != U+ => cons(hd(U),tl(U)) = U ) ) )).++fof(ax79,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssList(W)+ => ( app(W,V) = app(U,V)+ => W = U ) ) ) ) )).++fof(ax80,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssList(W)+ => ( app(V,W) = app(V,U)+ => W = U ) ) ) ) )).++fof(ax81,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssItem(V)+ => cons(V,U) = app(cons(V,nil),U) ) ) )).++fof(ax82,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ! [W] :+ ( ssList(W)+ => app(app(U,V),W) = app(U,app(V,W)) ) ) ) )).++fof(ax83,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ( nil = app(U,V)+ <=> ( nil = V+ & nil = U ) ) ) ) )).++fof(ax84,axiom,+ ( ! [U] :+ ( ssList(U)+ => app(U,nil) = U ) )).++fof(ax85,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ( nil != U+ => hd(app(U,V)) = hd(U) ) ) ) )).++fof(ax86,axiom,+ ( ! [U] :+ ( ssList(U)+ => ! [V] :+ ( ssList(V)+ => ( nil != U+ => tl(app(U,V)) = app(tl(U),V) ) ) ) )).++fof(ax87,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ( ( geq(U,V)+ & geq(V,U) )+ => U = V ) ) ) )).++fof(ax88,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ( ( geq(U,V)+ & geq(V,W) )+ => geq(U,W) ) ) ) ) )).++fof(ax89,axiom,+ ( ! [U] :+ ( ssItem(U)+ => geq(U,U) ) )).++fof(ax90,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ~ lt(U,U) ) )).++fof(ax91,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ( ( leq(U,V)+ & lt(V,W) )+ => lt(U,W) ) ) ) ) )).++fof(ax92,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ( leq(U,V)+ => ( U = V+ | lt(U,V) ) ) ) ) )).++fof(ax93,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ( lt(U,V)+ <=> ( U != V+ & leq(U,V) ) ) ) ) )).++fof(ax94,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ( gt(U,V)+ => ~ gt(V,U) ) ) ) )).++fof(ax95,axiom,+ ( ! [U] :+ ( ssItem(U)+ => ! [V] :+ ( ssItem(V)+ => ! [W] :+ ( ssItem(W)+ => ( ( gt(U,V)+ & gt(V,W) )+ => gt(U,W) ) ) ) ) )).++%--------------------------------------------------------------------------
+ test-data/tptp/fof/SWV003+0.ax view
@@ -0,0 +1,392 @@+%------------------------------------------------------------------------------+% File : SWV003+0 : TPTP v7.2.0. Bugfixed v3.3.0.+% Domain : Software Verification+% Axioms : NASA software certification axioms+% Version : [DFS04] axioms : Especial.+% English :++% Refs : [Fis04] Fischer (2004), Email to G. Sutcliffe+% : [DFS04] Denney et al. (2004), Using Automated Theorem Provers+% Source : [Fis04]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 52 ( 23 unit)+% Number of atoms : 190 ( 54 equality)+% Maximal formula depth : 18 ( 5 average)+% Number of connectives : 143 ( 5 ~ ; 2 |; 86 &)+% ( 5 <=>; 45 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 6 ( 1 propositional; 0-2 arity)+% Number of functors : 28 ( 10 constant; 0-4 arity)+% Number of variables : 162 ( 0 singleton; 162 !; 0 ?)+% Maximal term depth : 9 ( 1 average)+% SPC : ++% Comments :+% Bugfixes : v3.3.0 - Fixed symmetry axioms+%------------------------------------------------------------------------------+%----Axioms for gt+fof(totality,axiom,(+ ! [X,Y] :+ ( gt(X,Y)+ | gt(Y,X)+ | X = Y ) )).++fof(transitivity_gt,axiom,(+ ! [X,Y,Z] :+ ( ( gt(X,Y)+ & gt(Y,Z) )+ => gt(X,Z) ) )).++fof(irreflexivity_gt,axiom,(+ ! [X] : ~ gt(X,X) )).++%----Axioms for leq+fof(reflexivity_leq,axiom,(+ ! [X] : leq(X,X) )).++fof(transitivity_leq,axiom,(+ ! [X,Y,Z] :+ ( ( leq(X,Y)+ & leq(Y,Z) )+ => leq(X,Z) ) )).++%----Axioms for lt/geq+fof(lt_gt,axiom,(+ ! [X,Y] :+ ( lt(X,Y)+ <=> gt(Y,X) ) )).++fof(leq_geq,axiom,(+ ! [X,Y] :+ ( geq(X,Y)+ <=> leq(Y,X) ) )).++%----Axioms for combinations of gt and leq+fof(leq_gt1,axiom,(+ ! [X,Y] :+ ( gt(Y,X)+ => leq(X,Y) ) )).++fof(leq_gt2,axiom,(+ ! [X,Y] :+ ( ( leq(X,Y)+ & X != Y )+ => gt(Y,X) ) )).++%----leq/gt and pred/succ+fof(leq_gt_pred,axiom,(+ ! [X,Y] :+ ( leq(X,pred(Y))+ <=> gt(Y,X) ) )).++fof(gt_succ,axiom,(+ ! [X] : gt(succ(X),X) )).++fof(leq_succ,axiom,(+ ! [X,Y] :+ ( leq(X,Y)+ => leq(X,succ(Y)) ) )).++fof(leq_succ_gt_equiv,axiom,(+ ! [X,Y] :+ ( leq(X,Y)+ <=> gt(succ(Y),X) ) )).++%----uniform_int_rand+%----Restriction: LB of uniform_int_rnd is 0+fof(uniform_int_rand_ranges_hi,axiom,(+ ! [X,C] :+ ( leq(n0,X)+ => leq(uniform_int_rnd(C,X),X) ) )).++fof(uniform_int_rand_ranges_lo,axiom,(+ ! [X,C] :+ ( leq(n0,X)+ => leq(n0,uniform_int_rnd(C,X)) ) )).++%----Axioms for constant arrays+fof(const_array1_select,axiom,(+ ! [I,L,U,Val] :+ ( ( leq(L,I)+ & leq(I,U) )+ => a_select2(tptp_const_array1(dim(L,U),Val),I) = Val ) )).++fof(const_array2_select,axiom,(+ ! [I,L1,U1,J,L2,U2,Val] :+ ( ( leq(L1,I)+ & leq(I,U1)+ & leq(L2,J)+ & leq(J,U2) )+ => a_select3(tptp_const_array2(dim(L1,U1),dim(L2,U2),Val),I,J) = Val ) )).++%----Symmetry axioms for matrix operations+fof(matrix_symm_trans,axiom,(+ ! [A,N] :+ ( ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(A,I,J) = a_select3(A,J,I) )+ => ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(trans(A),I,J) = a_select3(trans(A),J,I) ) ) )).++fof(matrix_symm_inv,axiom,(+ ! [A,N] :+ ( ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(A,I,J) = a_select3(A,J,I) )+ => ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(inv(A),I,J) = a_select3(inv(A),J,I) ) ) )).++fof(matrix_symm_update_diagonal,axiom,(+ ! [A,N] :+ ( ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(A,I,J) = a_select3(A,J,I) )+ => ! [I,J,K,VAL] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N)+ & leq(n0,K)+ & leq(K,N) )+ => a_select3(tptp_update3(A,K,K,VAL),I,J) = a_select3(tptp_update3(A,K,K,VAL),J,I) ) ) )).++fof(matrix_symm_add,axiom,(+ ! [A,B,N] :+ ( ( ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(A,I,J) = a_select3(A,J,I) )+ & ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(B,I,J) = a_select3(B,J,I) ) )+ => ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(tptp_madd(A,B),I,J) = a_select3(tptp_madd(A,B),J,I) ) ) )).++fof(matrix_symm_sub,axiom,(+ ! [A,B,N] :+ ( ( ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(A,I,J) = a_select3(A,J,I) )+ & ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(B,I,J) = a_select3(B,J,I) ) )+ => ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(tptp_msub(A,B),I,J) = a_select3(tptp_msub(A,B),J,I) ) ) )).++fof(matrix_symm_aba1,axiom,(+ ! [A,B,N] :+ ( ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(B,I,J) = a_select3(B,J,I) )+ => ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J) = a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I) ) ) )).++%----This is the generalized version where the matrix dimensions+%----can be different for B and the ABA'+fof(matrix_symm_aba2,axiom,(+ ! [A,B,N,M] :+ ( ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,M)+ & leq(n0,J)+ & leq(J,M) )+ => a_select3(B,I,J) = a_select3(B,J,I) )+ => ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J) = a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I) ) ) )).++fof(matrix_symm_joseph_update,axiom,(+ ! [A,B,C,D,E,F,N,M] :+ ( ( ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,M)+ & leq(n0,J)+ & leq(J,M) )+ => a_select3(D,I,J) = a_select3(D,J,I) )+ & ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(A,I,J) = a_select3(A,J,I) )+ & ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(F,I,J) = a_select3(F,J,I) ) )+ => ! [I,J] :+ ( ( leq(n0,I)+ & leq(I,N)+ & leq(n0,J)+ & leq(J,N) )+ => a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),I,J) = a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),J,I) ) ) )).++%----handling of sums+fof(sum_plus_base,axiom,(+ ! [Body] : sum(n0,tptp_minus_1,Body) = n0 )).++fof(sum_plus_base_float,axiom,(+ ! [Body] : tptp_float_0_0 = sum(n0,tptp_minus_1,Body) )).++%----AXIOMS NECESSARY FOR UNSIMPLIFIED TASKS++%----successor/predecessor+fof(succ_tptp_minus_1,axiom,(+ succ(tptp_minus_1) = n0 )).++fof(succ_plus_1_r,axiom,(+ ! [X] : plus(X,n1) = succ(X) )).++fof(succ_plus_1_l,axiom,(+ ! [X] : plus(n1,X) = succ(X) )).++fof(succ_plus_2_r,axiom,(+ ! [X] : plus(X,n2) = succ(succ(X)) )).++fof(succ_plus_2_l,axiom,(+ ! [X] : plus(n2,X) = succ(succ(X)) )).++fof(succ_plus_3_r,axiom,(+ ! [X] : plus(X,n3) = succ(succ(succ(X))) )).++fof(succ_plus_3_l,axiom,(+ ! [X] : plus(n3,X) = succ(succ(succ(X))) )).++fof(succ_plus_4_r,axiom,(+ ! [X] : plus(X,n4) = succ(succ(succ(succ(X)))) )).++fof(succ_plus_4_l,axiom,(+ ! [X] : plus(n4,X) = succ(succ(succ(succ(X)))) )).++fof(succ_plus_5_r,axiom,(+ ! [X] : plus(X,n5) = succ(succ(succ(succ(succ(X))))) )).++fof(succ_plus_5_l,axiom,(+ ! [X] : plus(n5,X) = succ(succ(succ(succ(succ(X))))) )).++fof(pred_minus_1,axiom,(+ ! [X] : minus(X,n1) = pred(X) )).++fof(pred_succ,axiom,(+ ! [X] : pred(succ(X)) = X )).++fof(succ_pred,axiom,(+ ! [X] : succ(pred(X)) = X )).++%----leq/gt and successor+fof(leq_succ_succ,axiom,(+ ! [X,Y] :+ ( leq(succ(X),succ(Y))+ <=> leq(X,Y) ) )).++fof(leq_succ_gt,axiom,(+ ! [X,Y] :+ ( leq(succ(X),Y)+ => gt(Y,X) ) )).++%----leq/gt and plus/minus+fof(leq_minus,axiom,(+ ! [X,Y] :+ ( leq(minus(X,Y),X)+ => leq(n0,Y) ) )).++%----select_update+fof(sel3_update_1,axiom,(+ ! [X,U,V,VAL] : a_select3(tptp_update3(X,U,V,VAL),U,V) = VAL )).++fof(sel3_update_2,axiom,(+ ! [I,J,U,V,X,VAL,VAL2] :+ ( ( I != U+ & J = V+ & a_select3(X,U,V) = VAL )+ => a_select3(tptp_update3(X,I,J,VAL2),U,V) = VAL ) )).++fof(sel3_update_3,axiom,(+ ! [I,J,U,V,X,VAL] :+ ( ( ! [I0,J0] :+ ( ( leq(n0,I0)+ & leq(n0,J0)+ & leq(I0,U)+ & leq(J0,V) )+ => a_select3(X,I0,J0) = VAL )+ & leq(n0,I)+ & leq(I,U)+ & leq(n0,J)+ & leq(J,V) )+ => a_select3(tptp_update3(X,U,V,VAL),I,J) = VAL ) )).++fof(sel2_update_1,axiom,(+ ! [X,U,VAL] : a_select2(tptp_update2(X,U,VAL),U) = VAL )).++fof(sel2_update_2,axiom,(+ ! [I,U,X,VAL,VAL2] :+ ( ( I != U+ & a_select2(X,U) = VAL )+ => a_select2(tptp_update2(X,I,VAL2),U) = VAL ) )).++fof(sel2_update_3,axiom,(+ ! [I,U,X,VAL] :+ ( ( ! [I0] :+ ( ( leq(n0,I0)+ & leq(I0,U) )+ => a_select2(X,I0) = VAL )+ & leq(n0,I)+ & leq(I,U) )+ => a_select2(tptp_update2(X,U,VAL),I) = VAL ) )).++%----True+fof(ttrue,axiom,(+ true )).++%----def and use inequality+fof(defuse,axiom,(+ def != use )).
+ test-data/tptp/fof/SWV007+0.ax view
@@ -0,0 +1,52 @@+%------------------------------------------------------------------------------+% File : SWV007+0 : TPTP v7.2.0. Released v3.3.0.+% Domain : Software Verification+% Axioms : Priority queue checker: quasi-order set with bottom element+% Version : [dNP05] axioms.+% English :++% Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe+% : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin+% Source : [Pis06]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 5 ( 2 unit)+% Number of atoms : 10 ( 0 equality)+% Maximal formula depth : 6 ( 4 average)+% Number of connectives : 6 ( 1 ~ ; 1 |; 2 &)+% ( 1 <=>; 1 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 2 ( 0 propositional; 2-2 arity)+% Number of functors : 1 ( 1 constant; 0-0 arity)+% Number of variables : 9 ( 0 singleton; 9 !; 0 ?)+% Maximal term depth : 1 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+fof(transitivity,axiom,(+ ! [U,V,W] :+ ( ( less_than(U,V)+ & less_than(V,W) )+ => less_than(U,W) ) )).++fof(totality,axiom,(+ ! [U,V] :+ ( less_than(U,V)+ | less_than(V,U) ) )).++fof(reflexivity,axiom,(+ ! [U] : less_than(U,U) )).++fof(stricly_smaller_definition,axiom,(+ ! [U,V] :+ ( strictly_less_than(U,V)+ <=> ( less_than(U,V)+ & ~ less_than(V,U) ) ) )).++fof(bottom_smallest,axiom,(+ ! [U] : less_than(bottom,U) )).++%------------------------------------------------------------------------------+
+ test-data/tptp/fof/SWV007+1.ax view
@@ -0,0 +1,87 @@+%------------------------------------------------------------------------------+% File : SWV007+1 : TPTP v7.2.0. Released v3.3.0.+% Domain : Software Verification+% Axioms : Priority queue checker: priority queues+% Version : [dNP05] axioms.+% English : Priority queues are inductively defined.++% Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe+% : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin+% Source : [Pis06]+% Names :++% Status : Satisfiable+% Rating : <Don't worry about this one - we'll do it automatically>+% Syntax : Number of formulae : 12 ( 5 unit)+% Number of atoms : 26 ( 9 equality)+% Maximal formula depth : 7 ( 4 average)+% Number of connectives : 17 ( 3 ~ ; 1 |; 5 &)+% ( 2 <=>; 6 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 5 ( 0 propositional; 1-2 arity)+% Number of functors : 7 ( 1 constant; 0-2 arity)+% Number of variables : 25 ( 0 singleton; 25 !; 0 ?)+% Maximal term depth : 3 ( 1 average)+% SPC : ++% Comments : Requires SWV007+0+%------------------------------------------------------------------------------+fof(ax6,axiom,(+ ~ isnonempty_pq(create_pq) )).++fof(ax7,axiom,(+ ! [U,V] : isnonempty_pq(insert_pq(U,V)) )).++fof(ax8,axiom,(+ ! [U] : ~ contains_pq(create_pq,U) )).++fof(ax9,axiom,(+ ! [U,V,W] :+ ( contains_pq(insert_pq(U,V),W)+ <=> ( contains_pq(U,W)+ | V = W ) ) )).++fof(ax10,axiom,(+ ! [U,V] :+ ( issmallestelement_pq(U,V)+ <=> ! [W] :+ ( contains_pq(U,W)+ => less_than(V,W) ) ) )).++fof(ax11,axiom,(+ ! [U,V] : remove_pq(insert_pq(U,V),V) = U )).++fof(ax12,axiom,(+ ! [U,V,W] :+ ( ( contains_pq(U,W)+ & V != W )+ => remove_pq(insert_pq(U,V),W) = insert_pq(remove_pq(U,W),V) ) )).++fof(ax13,axiom,(+ ! [U,V] :+ ( ( contains_pq(U,V)+ & issmallestelement_pq(U,V) )+ => findmin_pq_eff(U,V) = U ) )).++fof(ax14,axiom,(+ ! [U,V] :+ ( ( contains_pq(U,V)+ & issmallestelement_pq(U,V) )+ => findmin_pq_res(U,V) = V ) )).++fof(ax15,axiom,(+ ! [U,V] :+ ( ( contains_pq(U,V)+ & issmallestelement_pq(U,V) )+ => removemin_pq_eff(U,V) = remove_pq(U,V) ) )).++fof(ax16,axiom,(+ ! [U,V] :+ ( ( contains_pq(U,V)+ & issmallestelement_pq(U,V) )+ => removemin_pq_res(U,V) = V ) )).++fof(ax17,axiom,(+ ! [U,V,W] : insert_pq(insert_pq(U,V),W) = insert_pq(insert_pq(U,W),V) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWV007+2.ax view
@@ -0,0 +1,85 @@+%------------------------------------------------------------------------------+% File : SWV007+2 : TPTP v7.2.0. Released v3.3.0.+% Domain : Software Verification+% Axioms : Priority queue checker: system of lower bounds+% Version : [dNP05] axioms.+% English :++% Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe+% : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin+% Source : [Pis06]+% Names :++% Status : Satisfiable+% Rating : <Don't worry about this one - we'll do it automatically>+% Syntax : Number of formulae : 13 ( 7 unit)+% Number of atoms : 24 ( 12 equality)+% Maximal formula depth : 9 ( 5 average)+% Number of connectives : 16 ( 5 ~ ; 2 |; 3 &)+% ( 2 <=>; 4 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 6 ( 0 propositional; 1-3 arity)+% Number of functors : 6 ( 1 constant; 0-2 arity)+% Number of variables : 38 ( 0 singleton; 38 !; 0 ?)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : Requires SWV007+0+%------------------------------------------------------------------------------+fof(ax18,axiom,(+ ~ isnonempty_slb(create_slb) )).++fof(ax19,axiom,(+ ! [U,V,W] : isnonempty_slb(insert_slb(U,pair(V,W))) )).++fof(ax20,axiom,(+ ! [U] : ~ contains_slb(create_slb,U) )).++fof(ax21,axiom,(+ ! [U,V,W,X] :+ ( contains_slb(insert_slb(U,pair(V,X)),W)+ <=> ( contains_slb(U,W)+ | V = W ) ) )).++fof(ax22,axiom,(+ ! [U,V] : ~ pair_in_list(create_slb,U,V) )).++fof(ax23,axiom,(+ ! [U,V,W,X,Y] :+ ( pair_in_list(insert_slb(U,pair(V,X)),W,Y)+ <=> ( pair_in_list(U,W,Y)+ | ( V = W+ & X = Y ) ) ) )).++fof(ax24,axiom,(+ ! [U,V,W] : remove_slb(insert_slb(U,pair(V,W)),V) = U )).++fof(ax25,axiom,(+ ! [U,V,W,X] :+ ( ( V != W+ & contains_slb(U,W) )+ => remove_slb(insert_slb(U,pair(V,X)),W) = insert_slb(remove_slb(U,W),pair(V,X)) ) )).++fof(ax26,axiom,(+ ! [U,V,W] : lookup_slb(insert_slb(U,pair(V,W)),V) = W )).++fof(ax27,axiom,(+ ! [U,V,W,X] :+ ( ( V != W+ & contains_slb(U,W) )+ => lookup_slb(insert_slb(U,pair(V,X)),W) = lookup_slb(U,W) ) )).++fof(ax28,axiom,(+ ! [U] : update_slb(create_slb,U) = create_slb )).++fof(ax29,axiom,(+ ! [U,V,W,X] :+ ( strictly_less_than(X,W)+ => update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,W)) ) )).++fof(ax30,axiom,(+ ! [U,V,W,X] :+ ( less_than(W,X)+ => update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,X)) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWV007+3.ax view
@@ -0,0 +1,142 @@+%------------------------------------------------------------------------------+% File : SWV007+3 : TPTP v7.2.0. Released v3.3.0.+% Domain : Software Verification+% Axioms : Priority queue checker: checked priority queues+% Version : [dNP05] axioms.+% English : This axiom set fully describes checked priority queues. Checked+% priority queues are defined as triples of a "priority queue+% pretender", a system of lower bounds and Boolean value that keep+% track of errors.++% Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe+% : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin+% Source : [Pis06]+% Names :++% Status : Satisfiable+% Rating : <Don't worry about this one - we'll do it automatically>+% Syntax : Number of formulae : 23 ( 7 unit)+% Number of atoms : 48 ( 17 equality)+% Maximal formula depth : 8 ( 5 average)+% Number of connectives : 32 ( 7 ~ ; 0 |; 7 &)+% ( 4 <=>; 14 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 9 ( 1 propositional; 0-2 arity)+% Number of functors : 18 ( 3 constant; 0-3 arity)+% Number of variables : 70 ( 4 singleton; 70 !; 0 ?)+% Maximal term depth : 4 ( 2 average)+% SPC : ++% Comments : Requires SWV007+0 SWV007+2+%------------------------------------------------------------------------------+fof(ax31,axiom,(+ ! [U] : succ_cpq(U,U) )).++fof(ax32,axiom,(+ ! [U,V,W] :+ ( succ_cpq(U,V)+ => succ_cpq(U,insert_cpq(V,W)) ) )).++fof(ax33,axiom,(+ ! [U,V,W] :+ ( succ_cpq(U,V)+ => succ_cpq(U,remove_cpq(V,W)) ) )).++fof(ax34,axiom,(+ ! [U,V] :+ ( succ_cpq(U,V)+ => succ_cpq(U,findmin_cpq_eff(V)) ) )).++fof(ax35,axiom,(+ ! [U,V] :+ ( succ_cpq(U,V)+ => succ_cpq(U,removemin_cpq_eff(V)) ) )).++fof(ax36,axiom,(+ ! [U,V] : check_cpq(triple(U,create_slb,V)) )).++fof(ax37,axiom,(+ ! [U,V,W,X,Y] :+ ( less_than(Y,X)+ => ( check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))+ <=> check_cpq(triple(U,V,W)) ) ) )).++fof(ax38,axiom,(+ ! [U,V,W,X,Y] :+ ( strictly_less_than(X,Y)+ => ( check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))+ <=> $false ) ) )).++fof(ax39,axiom,(+ ! [U,V,W,X] :+ ( contains_cpq(triple(U,V,W),X)+ <=> contains_slb(V,X) ) )).++fof(ax40,axiom,(+ ! [U,V] :+ ( ok(triple(U,V,bad))+ <=> $false ) )).++fof(ax41,axiom,(+ ! [U,V,W] :+ ( ~ ok(triple(U,V,W))+ => W = bad ) )).++fof(ax42,axiom,(+ ! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W) )).++fof(ax43,axiom,(+ ! [U,V,W,X] :+ ( ~ contains_slb(V,X)+ => remove_cpq(triple(U,V,W),X) = triple(U,V,bad) ) )).++fof(ax44,axiom,(+ ! [U,V,W,X] :+ ( ( contains_slb(V,X)+ & less_than(lookup_slb(V,X),X) )+ => remove_cpq(triple(U,V,W),X) = triple(remove_pqp(U,X),remove_slb(V,X),W) ) )).++fof(ax45,axiom,(+ ! [U,V,W,X] :+ ( ( contains_slb(V,X)+ & strictly_less_than(X,lookup_slb(V,X)) )+ => remove_cpq(triple(U,V,W),X) = triple(remove_pqp(U,X),remove_slb(V,X),bad) ) )).++fof(ax46,axiom,(+ ! [U,V] : findmin_cpq_eff(triple(U,create_slb,V)) = triple(U,create_slb,bad) )).++fof(ax47,axiom,(+ ! [U,V,W,X] :+ ( ( V != create_slb+ & ~ contains_slb(V,findmin_pqp_res(U)) )+ => findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad) ) )).++fof(ax48,axiom,(+ ! [U,V,W,X] :+ ( ( V != create_slb+ & contains_slb(V,findmin_pqp_res(U))+ & strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U))) )+ => findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad) ) )).++fof(ax49,axiom,(+ ! [U,V,W,X] :+ ( ( V != create_slb+ & contains_slb(V,findmin_pqp_res(U))+ & less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) )+ => findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),W) ) )).++fof(ax50,axiom,(+ ! [U,V] : findmin_cpq_res(triple(U,create_slb,V)) = bottom )).++fof(ax51,axiom,(+ ! [U,V,W,X] :+ ( V != create_slb+ => findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ) )).++fof(ax52,axiom,(+ ! [U] : removemin_cpq_eff(U) = remove_cpq(findmin_cpq_eff(U),findmin_cpq_res(U)) )).++fof(ax53,axiom,(+ ! [U] : removemin_cpq_res(U) = findmin_cpq_res(U) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWV007+4.ax view
@@ -0,0 +1,76 @@+%------------------------------------------------------------------------------+% File : SWV007+4 : TPTP v7.2.0. Released v3.3.0.+% Domain : Software Verification+% Axioms : Priority queue checker: implementation function, Pi, Pi#+% Version : [dNP05] axioms.+% English :++% Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe+% : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin+% Source : [Pis06]+% Names :++% Status : Satisfiable+% Rating : <Don't worry about this one - we'll do it automatically>+% Syntax : Number of formulae : 9 ( 2 unit)+% Number of atoms : 20 ( 2 equality)+% Maximal formula depth : 6 ( 5 average)+% Number of connectives : 11 ( 0 ~ ; 0 |; 4 &)+% ( 7 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 13 ( 0 propositional; 1-2 arity)+% Number of functors : 7 ( 2 constant; 0-3 arity)+% Number of variables : 21 ( 0 singleton; 18 !; 3 ?)+% Maximal term depth : 5 ( 1 average)+% SPC : ++% Comments : Requires SWV007+0 SWV007+1 SWV007+2 SWV007+3+%------------------------------------------------------------------------------+fof(ax54,axiom,(+ ! [U,V] : i(triple(U,create_slb,V)) = create_pq )).++fof(ax55,axiom,(+ ! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X) )).++%----All below here are definitions+fof(ax56,axiom,(+ ! [U,V] :+ ( pi_sharp_remove(U,V)+ <=> contains_pq(U,V) ) )).++fof(ax57,axiom,(+ ! [U,V] :+ ( pi_remove(U,V)+ <=> pi_sharp_remove(i(U),V) ) )).++fof(ax58,axiom,(+ ! [U,V] :+ ( pi_sharp_find_min(U,V)+ <=> ( contains_pq(U,V)+ & issmallestelement_pq(U,V) ) ) )).++fof(ax59,axiom,(+ ! [U] :+ ( pi_find_min(U)+ <=> ? [V] : pi_sharp_find_min(i(U),V) ) )).++fof(ax60,axiom,(+ ! [U,V] :+ ( pi_sharp_removemin(U,V)+ <=> ( contains_pq(U,V)+ & issmallestelement_pq(U,V) ) ) )).++fof(ax61,axiom,(+ ! [U] :+ ( pi_removemin(U)+ <=> ? [V] : pi_sharp_find_min(i(U),V) ) )).++fof(ax62,axiom,(+ ! [U] :+ ( phi(U)+ <=> ? [V] :+ ( succ_cpq(U,V)+ & ok(V)+ & check_cpq(V) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWV009+0.ax view
@@ -0,0 +1,267 @@+%------------------------------------------------------------------------------+% File : SWV009+0 : TPTP v7.2.0. Released v4.0.0.+% Domain : Software Verification+% Axioms : General axioms for access to classified information+% Version : [Gar09] axioms.+% English :++% Refs : [Gar09] Garg (2006), Email to G. Sutcliffe+% Source : [Gar09]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 41 ( 12 unit)+% Number of atoms : 129 ( 0 equality)+% Maximal formula depth : 16 ( 6 average)+% Number of connectives : 88 ( 0 ~; 0 |; 0 &)+% ( 0 <=>; 88 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 55 ( 0 propositional; 1-6 arity)+% Number of functors : 14 ( 13 constant; 0-2 arity)+% Number of variables : 129 ( 0 sgn; 129 !; 0 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+fof(ax0,axiom,(+ ! [K] : loca_level_direct_below(K,unclassified,sbu) )).++fof(ax1,axiom,(+ ! [K] : loca_level_direct_below(K,sbu,confidential) )).++fof(ax2,axiom,(+ ! [K] : loca_level_direct_below(K,confidential,secret) )).++fof(ax3,axiom,(+ ! [K] : loca_level_direct_below(K,secret,topsecret) )).++fof(ax4,axiom,(+ ! [K,L] : loca_level_below(K,L,L) )).++fof(ax5,axiom,(+ ! [K,L,L1,L11] :+ ( loca_level_direct_below(K,L1,L11)+ => ( loca_level_below(K,L,L1)+ => loca_level_below(K,L,L11) ) ) )).++fof(ax6,axiom,(+ ! [C,SSO] :+ ( system_compartment_has_sso(system,C,SSO)+ => admin_compartment_has_sso(admin,C,SSO) ) )).++fof(ax7,axiom,(+ ! [OCA,C,SSO,SCG] :+ ( system_indi_is_oca(system,OCA)+ => ( oca_compartment_has_scg(OCA,C,SCG)+ => ( admin_compartment_has_sso(admin,C,SSO)+ => ( sso_compartment_has_scg(SSO,C,SCG)+ => admin_compartment_has_scg(admin,C,SCG) ) ) ) ) )).++fof(ax8,axiom,(+ ! [F,CL] :+ ( system_file_needs_compartments(system,F,CL)+ => ( admin_file_has_compartments_h(admin,F,CL,CL)+ => admin_file_has_compartments(admin,F,CL) ) ) )).++fof(ax9,axiom,(+ ! [F,CL] : admin_file_has_compartments_h(admin,F,CL,nil) )).++fof(ax10,axiom,(+ ! [F,CL,C1,CL1,SSO] :+ ( admin_compartment_has_sso(admin,C1,SSO)+ => ( sso_file_has_compartments(SSO,F,CL)+ => ( admin_file_has_compartments_h(admin,F,CL,CL1)+ => admin_file_has_compartments_h(admin,F,CL,cons(C1,CL1)) ) ) ) )).++fof(ax11,axiom,(+ ! [F,L,CL] :+ ( system_file_needs_level(system,F,L)+ => ( admin_file_has_compartments(admin,F,CL)+ => ( admin_file_has_level_h(admin,F,L,CL)+ => admin_file_has_level(admin,F,L) ) ) ) )).++fof(ax12,axiom,(+ ! [F,L] : admin_file_has_level_h(admin,F,L,nil) )).++fof(ax13,axiom,(+ ! [F,L,C,CL,SSO,SCG] :+ ( admin_compartment_has_sso(admin,C,SSO)+ => ( admin_compartment_has_scg(admin,C,SCG)+ => ( sso_file_has_level(SSO,F,L,SCG)+ => ( admin_file_has_level_h(admin,F,L,CL)+ => admin_file_has_level_h(admin,F,L,cons(C,CL)) ) ) ) ) )).++fof(ax14,axiom,(+ ! [F,U,CL] :+ ( system_file_needs_citizenship(system,F,U)+ => ( admin_file_has_compartments(admin,F,CL)+ => ( admin_file_has_citizenship_h(admin,F,U,CL)+ => admin_file_has_citizenship(admin,F,U) ) ) ) )).++fof(ax15,axiom,(+ ! [F,U] : admin_file_has_citizenship_h(admin,F,U,nil) )).++fof(ax16,axiom,(+ ! [F,U,C,CL,SSO,SCG] :+ ( admin_compartment_has_sso(admin,C,SSO)+ => ( admin_compartment_has_scg(admin,C,SCG)+ => ( sso_file_has_citizenship(SSO,F,U,SCG)+ => ( admin_file_has_citizenship_h(admin,F,U,CL)+ => admin_file_has_citizenship_h(admin,F,U,cons(C,CL)) ) ) ) ) )).++fof(ax17,axiom,(+ ! [K,PA] :+ ( system_indi_is_polygraph_admin(system,PA)+ => ( polygraph_admin_indi_has_polygraph(PA,K)+ => admin_indi_has_polygraph(admin,K) ) ) )).++fof(ax18,axiom,(+ ! [K,CA] :+ ( system_indi_is_credit_admin(system,CA)+ => ( credit_admin_indi_has_credit(CA,K)+ => admin_indi_has_credit(admin,K) ) ) )).++fof(ax19,axiom,(+ ! [K] : admin_indi_has_background(admin,K,unclassified) )).++fof(ax20,axiom,(+ ! [K,L,BA,L1] :+ ( system_indi_is_background_admin(system,BA)+ => ( background_admin_indi_has_background(BA,K,L1)+ => ( loca_level_below(admin,L,L1)+ => admin_indi_has_background(admin,K,L) ) ) ) )).++fof(ax21,axiom,(+ ! [K,HR] :+ ( system_indi_is_hr_admin(system,HR)+ => ( hr_admin_indi_has_employment(HR,K)+ => admin_indi_has_employment(admin,K) ) ) )).++fof(ax22,axiom,(+ ! [K] : admin_indi_has_citizenship(admin,K,anycountry) )).++fof(ax23,axiom,(+ ! [K,U] :+ ( system_indi_has_citizenship(system,K,U)+ => admin_indi_has_citizenship(admin,K,U) ) )).++fof(ax24,axiom,(+ ! [K] : admin_indi_has_level(admin,K,unclassified) )).++fof(ax25,axiom,(+ ! [K,L,L1,LA,L11] :+ ( system_indi_needs_level(system,K,L1)+ => ( admin_indi_has_citizenship(admin,K,usa)+ => ( admin_indi_has_polygraph(admin,K)+ => ( admin_indi_has_employment(admin,K)+ => ( admin_indi_has_credit(admin,K)+ => ( loca_level_below(admin,L,L1)+ => ( system_indi_is_level_admin(system,LA)+ => ( level_admin_indi_has_level(LA,K,L11)+ => ( loca_level_below(admin,L,L11)+ => ( admin_indi_has_background(admin,K,L)+ => admin_indi_has_level(admin,K,L) ) ) ) ) ) ) ) ) ) ) )).++fof(ax26,axiom,(+ ! [K] : admin_indi_has_compartments(admin,K,nil) )).++fof(ax27,axiom,(+ ! [K,C,CL,SSO] :+ ( system_indi_needs_compartment(system,K,C)+ => ( admin_indi_has_employment(admin,K)+ => ( admin_indi_has_citizenship(admin,K,usa)+ => ( admin_indi_has_polygraph_for_compartment(admin,K,C)+ => ( admin_indi_has_credit_for_compartment(admin,K,C)+ => ( admin_compartment_has_sso(admin,C,SSO)+ => ( sso_indi_has_compartment(SSO,K,C)+ => ( admin_indi_has_background_for_compartment(admin,K,C)+ => ( admin_indi_has_level_for_compartment(admin,K,C)+ => ( admin_indi_has_compartments(admin,K,CL)+ => admin_indi_has_compartments(admin,K,cons(C,CL)) ) ) ) ) ) ) ) ) ) ) )).++fof(ax28,axiom,(+ ! [K,C,OCA,L1,L2,B1,B2] :+ ( system_indi_is_oca(system,OCA)+ => ( oca_compartment_is_compartment(OCA,C,L1,L2,B1,B2)+ => ( admin_indi_has_background(admin,K,L2)+ => admin_indi_has_background_for_compartment(admin,K,C) ) ) ) )).++fof(ax29,axiom,(+ ! [K,C,OCA,L1,L2,B1,B2] :+ ( system_indi_is_oca(system,OCA)+ => ( oca_compartment_is_compartment(OCA,C,L1,L2,B1,B2)+ => ( admin_indi_has_level(admin,K,L1)+ => admin_indi_has_level_for_compartment(admin,K,C) ) ) ) )).++fof(ax30,axiom,(+ ! [K,C,OCA,L1,L2,B1] :+ ( system_indi_is_oca(system,OCA)+ => ( oca_compartment_is_compartment(OCA,C,L1,L2,B1,yes)+ => ( admin_indi_has_polygraph(admin,K)+ => admin_indi_has_polygraph_for_compartment(admin,K,C) ) ) ) )).++fof(ax31,axiom,(+ ! [K,C,OCA,L1,L2,B1] :+ ( system_indi_is_oca(system,OCA)+ => ( oca_compartment_is_compartment(OCA,C,L1,L2,B1,no)+ => admin_indi_has_polygraph_for_compartment(admin,K,C) ) ) )).++fof(ax32,axiom,(+ ! [K,C,OCA,L1,L2,B2] :+ ( system_indi_is_oca(system,OCA)+ => ( oca_compartment_is_compartment(OCA,C,L1,L2,yes,B2)+ => ( admin_indi_has_credit(admin,K)+ => admin_indi_has_credit_for_compartment(admin,K,C) ) ) ) )).++fof(ax33,axiom,(+ ! [K,C,OCA,L1,L2,B2] :+ ( system_indi_is_oca(system,OCA)+ => ( oca_compartment_is_compartment(OCA,C,L1,L2,no,B2)+ => admin_indi_has_credit_for_compartment(admin,K,C) ) ) )).++fof(ax34,axiom,(+ ! [K,F,CL] :+ ( admin_file_has_compartments(admin,F,CL)+ => ( admin_indi_has_compartments(admin,K,CL)+ => admin_indi_has_compartments_for_file(admin,K,F) ) ) )).++fof(ax35,axiom,(+ ! [K,F,L] :+ ( admin_file_has_level(admin,F,L)+ => ( admin_indi_has_level(admin,K,L)+ => admin_indi_has_level_for_file(admin,K,F) ) ) )).++fof(ax36,axiom,(+ ! [K,F,OWR] :+ ( state_file_has_owner(F,OWR)+ => ( owner_indi_has_need_to_know(OWR,K,F)+ => admin_indi_has_need_to_know_for_file(admin,K,F) ) ) )).++fof(ax37,axiom,(+ ! [K,F,L] :+ ( admin_file_has_citizenship(admin,F,L)+ => ( admin_indi_has_citizenship(admin,K,L)+ => admin_indi_has_citizenship_for_file(admin,K,F) ) ) )).++fof(ax38,axiom,(+ ! [K,F] :+ ( admin_indi_has_citizenship(admin,K,usa)+ => admin_indi_has_citizenship_for_file(admin,K,F) ) )).++fof(ax39,axiom,(+ ! [K,F] :+ ( state_file_is_not_working_paper(F)+ => ( admin_indi_has_citizenship_for_file(admin,K,F)+ => ( admin_indi_has_need_to_know_for_file(admin,K,F)+ => ( admin_indi_has_level_for_file(admin,K,F)+ => ( admin_indi_has_compartments_for_file(admin,K,F)+ => admin_indi_may_file(admin,K,F,read) ) ) ) ) ) )).++fof(ax40,axiom,(+ ! [K,F,K1] :+ ( state_file_has_owner(F,K1)+ => ( system_indi_is_counterintelligence(system,K,K1)+ => admin_indi_may_file(admin,K,F,read) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWV011+0.ax view
@@ -0,0 +1,318 @@+%------------------------------------------------------------------------------+% File : SWV011+0 : TPTP v7.2.0. Released v4.0.0.+% Domain : Software Verification+% Axioms : Axioms for verification of Stoller's leader election algorithm+% Version : [Sve07] axioms : Especial.+% English :++% Refs : [Sto97] Stoller (1997), Leader Election in Distributed Systems+% : [Sve07] Svensson (2007), Email to Koen Claessen+% : [Sve08] Svensson (2008), A Semi-Automatic Correctness Proof Pr+% Source : [Sve07]+% Names : stoller2 [Sve07]+% : con_sys [Sve07]+% : cons_snoc [Sve07]+% : arith [Sve07]+% : sets [Sve07]++% Status : Satisfiable+% Syntax : Number of formulae : 66 ( 40 unit)+% Number of atoms : 111 ( 62 equality)+% Maximal formula depth : 10 ( 4 average)+% Number of connectives : 89 ( 44 ~; 7 |; 14 &)+% ( 13 <=>; 11 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 6 ( 0 propositional; 1-2 arity)+% Number of functors : 27 ( 11 constant; 0-2 arity)+% Number of variables : 119 ( 0 sgn; 118 !; 1 ?)+% Maximal term depth : 3 ( 2 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Stoller axioms messages and such things+%----NewPid+fof(axiom,axiom,(+ ! [Pid,Pid2] :+ ( elem(m_Ack(Pid,Pid2),queue(host(Pid)))+ => ( setIn(Pid,pids)+ & setIn(Pid2,pids) ) ) )).++fof(axiom_01,axiom,(+ ! [P,Q] :+ ( s(host(P)) = host(Q)+ => host(P) != host(Q) ) )).++fof(axiom_02,axiom,(+ ! [P] : leq(s(zero),host(P)) )).++fof(axiom_03,axiom,(+ leq(s(zero),nbr_proc) )).++fof(axiom_04,axiom,(+ ! [P] : leq(host(P),nbr_proc) )).++fof(axiom_05,axiom,(+ elec_1 != elec_2 )).++fof(axiom_06,axiom,(+ elec_1 != wait )).++fof(axiom_07,axiom,(+ elec_1 != norm )).++fof(axiom_08,axiom,(+ elec_2 != wait )).++fof(axiom_09,axiom,(+ elec_2 != norm )).++fof(axiom_10,axiom,(+ norm != wait )).++fof(axiom_11,axiom,(+ ! [X,Y,Z] : m_Ack(X,Y) != m_Halt(Z) )).++fof(axiom_12,axiom,(+ ! [X,Y,Z] : m_Ack(X,Y) != m_Down(Z) )).++fof(axiom_13,axiom,(+ ! [X,Y,Z] : m_Ack(X,Y) != m_NotNorm(Z) )).++fof(axiom_14,axiom,(+ ! [X,Y,Z] : m_Ack(X,Y) != m_Ldr(Z) )).++fof(axiom_15,axiom,(+ ! [X,Y,Z] : m_Ack(X,Y) != m_NormQ(Z) )).++fof(axiom_16,axiom,(+ ! [X,Y] : m_NotNorm(X) != m_Halt(Y) )).++fof(axiom_17,axiom,(+ ! [X,Y] : m_Down(X) != m_Halt(Y) )).++fof(axiom_18,axiom,(+ ! [X,Y] : m_Down(X) != m_Ldr(Y) )).++fof(axiom_19,axiom,(+ ! [X,Y] : m_Down(X) != m_NotNorm(Y) )).++fof(axiom_20,axiom,(+ ! [X,Y] : m_Down(X) != m_NormQ(Y) )).++fof(axiom_21,axiom,(+ ! [X,Y] : m_NormQ(X) != m_Halt(Y) )).++fof(axiom_22,axiom,(+ ! [X,Y] : m_Ldr(X) != m_Halt(Y) )).++fof(axiom_23,axiom,(+ ! [X,Y] : m_Ldr(X) != m_NormQ(Y) )).++fof(axiom_24,axiom,(+ ! [X,Y] : m_Ldr(X) != m_NotNorm(Y) )).++fof(axiom_25,axiom,(+ ! [X,Y] : m_NormQ(X) != m_NotNorm(Y) )).++fof(axiom_26,axiom,(+ ! [X,Y] :+ ( X != Y+ <=> m_Halt(X) != m_Halt(Y) ) )).++fof(axiom_27,axiom,(+ ! [X,Y] :+ ( X != Y+ <=> m_NormQ(X) != m_NormQ(Y) ) )).++fof(axiom_28,axiom,(+ ! [X,Y] :+ ( X != Y+ <=> m_NotNorm(X) != m_NotNorm(Y) ) )).++fof(axiom_29,axiom,(+ ! [X,Y] :+ ( X != Y+ <=> m_Ldr(X) != m_Ldr(Y) ) )).++fof(axiom_30,axiom,(+ ! [X,Y] :+ ( X != Y+ <=> m_Down(X) != m_Down(Y) ) )).++fof(axiom_31,axiom,(+ ! [X1,X2,Y1,Y2] :+ ( X1 != X2+ => m_Ack(X1,Y1) != m_Ack(X2,Y2) ) )).++fof(axiom_32,axiom,(+ ! [X1,X2,Y1,Y2] :+ ( Y1 != Y2+ => m_Ack(X1,Y1) != m_Ack(X2,Y2) ) )).++%----Axioms for a concurrent system; i.e. Pids and Alive+fof(axiom_33,axiom,(+ ! [Pid,Pid2] :+ ( host(Pid) != host(Pid2)+ => Pid != Pid2 ) )).++fof(axiom_34,axiom,(+ ~ setIn(nil,alive) )).++%----Axioms for snoc and cons style of queues+%----Injective+fof(axiom_35,axiom,(+ ! [X,Q] : head(cons(X,Q)) = X )).++fof(axiom_36,axiom,(+ ! [X,Q] : tail(cons(X,Q)) = Q )).++fof(axiom_37,axiom,(+ ! [Y,Q] : last(snoc(Q,Y)) = Y )).++fof(axiom_38,axiom,(+ ! [Y,Q] : init(snoc(Q,Y)) = Q )).++%----Surjective+fof(axiom_39,axiom,(+ ! [Q] :+ ( Q = q_nil+ | Q = cons(head(Q),tail(Q)) ) )).++fof(axiom_40,axiom,(+ ! [Q] :+ ( Q = q_nil+ | Q = snoc(init(Q),last(Q)) ) )).++%----Exclusive+fof(axiom_41,axiom,(+ ! [X,Q] : q_nil != cons(X,Q) )).++fof(axiom_42,axiom,(+ ! [Y,Q] : q_nil != snoc(Q,Y) )).++%----Equal singleton queue+fof(axiom_43,axiom,(+ ! [X] : cons(X,q_nil) = snoc(q_nil,X) )).++%----Snoc+cons equals cons+snoc+fof(axiom_44,axiom,(+ ! [X,Y,Q] : snoc(cons(X,Q),Y) = cons(X,snoc(Q,Y)) )).++%----Elem+fof(axiom_45,axiom,(+ ! [X] : ~ elem(X,q_nil) )).++fof(axiom_46,axiom,(+ ! [X,Y,Q] :+ ( elem(X,cons(Y,Q))+ <=> ( X = Y+ | elem(X,Q) ) ) )).++fof(axiom_47,axiom,(+ ! [X,Y,Q] :+ ( elem(X,snoc(Q,Y))+ <=> ( X = Y+ | elem(X,Q) ) ) )).++%----Ordered+fof(axiom_48,axiom,(+ ! [X] :+ ( pidElem(X)+ <=> ? [Y] :+ ( X = m_Halt(Y)+ | X = m_Down(Y) ) ) )).++fof(axiom_49,axiom,(+ ! [X] : pidMsg(m_Halt(X)) = X )).++fof(axiom_50,axiom,(+ ! [X] : pidMsg(m_Down(X)) = X )).++fof(axiom_51,axiom,(+ ordered(q_nil) )).++fof(axiom_52,axiom,(+ ! [X] :+ ( ordered(cons(X,q_nil))+ & ordered(snoc(q_nil,X)) ) )).++fof(axiom_53,axiom,(+ ! [X,Q] :+ ( ordered(cons(X,Q))+ <=> ( ordered(Q)+ & ! [Y] :+ ( ( elem(Y,Q)+ & pidElem(X)+ & pidElem(Y)+ & host(pidMsg(Y)) = host(pidMsg(X)) )+ => leq(pidMsg(X),pidMsg(Y)) ) ) ) )).++fof(axiom_54,axiom,(+ ! [X,Q] :+ ( ordered(snoc(Q,X))+ <=> ( ordered(Q)+ & ! [Y] :+ ( ( elem(Y,Q)+ & pidElem(X)+ & pidElem(Y)+ & host(pidMsg(Y)) = host(pidMsg(X)) )+ => leq(pidMsg(Y),pidMsg(X)) ) ) ) )).++%----Helper axioms+fof(axiom_55,axiom,(+ ! [Q,X,Y] :+ ( ordered(Q)+ => ordered(snoc(Q,m_Ack(X,Y))) ) )).++fof(axiom_56,axiom,(+ ! [Q,X] :+ ( ordered(Q)+ => ordered(snoc(Q,m_Ldr(X))) ) )).++fof(axiom_57,axiom,(+ ! [Q,X,Y] :+ ( ( ordered(cons(m_Halt(X),Q))+ & host(X) = host(Y)+ & elem(m_Down(Y),Q) )+ => leq(X,Y) ) )).++fof(axiom_58,axiom,(+ ! [X] : ~ leq(s(X),X) )).++fof(axiom_59,axiom,(+ ! [X] : leq(X,X) )).++fof(axiom_60,axiom,(+ ! [X,Y] :+ ( leq(X,Y)+ | leq(Y,X) ) )).++fof(axiom_61,axiom,(+ ! [X,Y] :+ ( ( leq(X,Y)+ & leq(Y,X) )+ <=> X = Y ) )).++fof(axiom_62,axiom,(+ ! [X,Y,Z] :+ ( ( leq(X,Y)+ & leq(Y,Z) )+ => leq(X,Z) ) )).++fof(axiom_63,axiom,(+ ! [X,Y] :+ ( leq(X,Y)+ <=> leq(s(X),s(Y)) ) )).++fof(axiom_64,axiom,(+ ! [X,Y] :+ ( leq(X,s(Y))+ <=> ( X = s(Y)+ | leq(X,Y) ) ) )).++%----Set axioms+fof(axiom_65,axiom,(+ ! [X] : ~ setIn(X,setEmpty) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWV012+0.ax view
@@ -0,0 +1,348 @@+%------------------------------------------------------------------------------+% File : SWV012+0 : TPTP v7.2.0. Released v5.2.0.+% Domain : Software Verification+% Axioms : Syntactic definitions of the logical operators +% Version : [deN09] axioms : Especial.+% English :++% Refs : [deN09] de Nivelle (2009), Email to Geoff Sutcliffe+% Source : [deN09]+% Names : ++% Status : Satisfiable+% Syntax : Number of formulae : 44 ( 14 unit)+% Number of atoms : 96 ( 49 equality)+% Maximal formula depth : 10 ( 4 average)+% Number of connectives : 77 ( 25 ~; 6 |; 26 &)+% ( 5 <=>; 15 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of predicates : 5 ( 0 propositional; 1-2 arity)+% Number of functors : 27 ( 5 constant; 0-3 arity)+% Number of variables : 75 ( 0 sgn; 61 !; 14 ?)+% Maximal term depth : 5 ( 2 average)+% SPC : FOF_SAT_RFO_SEQ++% Comments : For each op in {and, lazy_and, or, exists, not, false}, this file+% contains the following: +% op1 : the semantic definition of Theorem 4.+% op2 : the syntactic definition of Figure 4. +% For each operator, we define a goal of form +% FOR EACH arg1, ... argn, +% op1(arg1,...,argn) = op2(arg1, ..., argn).+% We specify the structure of the domain U_D. +% We define the following predicates: +% d(A) : A in D. +% bool(A) : A in { false, true }.+% Note that U_D = U_0 |_| U_1 |_| U_2 |_| ...., and D = U_0.+%------------------------------------------------------------------------------+%----The predicate bool is true exactly on true and false:+fof(def_bool,axiom,(+ ! [X] :+ ( bool(X)+ <=> ( X = false+ | X = true ) ) )).++%----err, true and false are distinct constants:+fof(distinct_false_true_err,axiom,+ ( true != false+ & true != err+ & false != err )).++%----err, true and false are in D:+fof(false_true_err_in_d,axiom,+ ( d(true)+ & d(false)+ & d(err) )).++%----forallprefers is needed by the forall quantifier. +%----In the rest of this comment we write '<' for 'forallprefers.'+%----< is defined by the sequence+%----( U_D \ D ) < ( D \ bool ) < f < t. +%----The value of forall x p(x) is obtained as follows:+%----First define R := range of lambda x. p(x).+%----Select a <-minimal element in R.+%----Return Phi(r), where r is the selected element. ++%----Notin D is preferred over D.+%----Inside D, nonbool is preferred over bool.+%----Inside bool, false is preferred over true:+%----The <-order is partial.+fof(def_forallprefers,axiom,(+ ! [X,Y] :+ ( forallprefers(X,Y)+ <=> ( ( ~ d(X)+ & d(Y) )+ | ( d(X)+ & d(Y)+ & ~ bool(X)+ & bool(Y) )+ | ( X = false+ & Y = true ) ) ) )).++%----existsprefers is like forallprefers, but it is defined by+%----the sequence: +%---- ( U_D \ D ) < ( D \ bool ) < t < f. +fof(def_existsprefers,axiom,(+ ! [X,Y] :+ ( existsprefers(X,Y)+ <=> ( ( ~ d(X)+ & d(Y) )+ | ( d(X)+ & d(Y)+ & ~ bool(X)+ & bool(Y) )+ | ( X = true+ & Y = false ) ) ) )).++%----The function phi(X) is defined by:+%----phi(X) = err if X not in D.+%----phi(X) = X if X in D.+%----It is defined in Definition 8 of the paper. +fof(def_phi,axiom,(+ ! [X] :+ ( ( d(X)+ & phi(X) = X )+ | ( ~ d(X)+ & phi(X) = err ) ) )).++%----Axiomatization of prop. +%----The difference between bool and prop is that bool+%----is a predicate which we use in the meta language (TPTP),+%----while prop is a function inside the logic.+fof(prop_true,axiom,(+ ! [X] :+ ( prop(X) = true+ <=> bool(X) ) )).++fof(prop_false,axiom,(+ ! [X] :+ ( prop(X) = false+ <=> ~ bool(X) ) )).++%----Axiomatization of impl. Because impl and lazy_impl are primitive,+%----they have only one definition: +%---- If A is not bool, then ( A -> B ) = phi(A). +%---- If A is bool, but B is not bool, then ( A -> B ) = phi(B). +%---- If A is false, and B is bool, then ( A -> B ) = true+%---- If A is true, and B is bool, then ( A -> B ) = B. +fof(impl_axiom1,axiom,(+ ! [A,B] :+ ( ~ bool(A)+ => impl(A,B) = phi(A) ) )).++fof(impl_axiom2,axiom,(+ ! [A,B] :+ ( ( bool(A)+ & ~ bool(B) )+ => impl(A,B) = phi(B) ) )).++fof(impl_axiom3,axiom,(+ ! [B] :+ ( bool(B)+ => impl(false,B) = true ) )).++fof(impl_axiom4,axiom,(+ ! [B] :+ ( bool(B)+ => impl(true,B) = B ) )).++%----Axiomatization of lazy_impl:+%---- If A is not bool, then [A] B = phi(A). +%---- If A is false, then [A] B = true. +%---- If A is true, then [A] B = phi(B). +fof(lazy_impl_axiom1,axiom,(+ ! [A,B] :+ ( ~ bool(A)+ => lazy_impl(A,B) = phi(A) ) )).++fof(lazy_impl_axiom2,axiom,(+ ! [B] : lazy_impl(false,B) = true )).++fof(lazy_impl_axiom3,axiom,(+ ! [B] : lazy_impl(true,B) = phi(B) )).++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%----Axiomatization of semantic definition of and:+%---- If A is not bool, then ( A /\ B ) = phi(A). +%---- If A is bool, but B is not bool, then ( A /\ B ) = phi(B). +%---- If A = false, and B is bool, then ( A /\ B ) = false.+%---- If A = true, and B is bool, then ( A /\ B ) = B.+fof(and1_axiom1,axiom,(+ ! [A,B] :+ ( ~ bool(A)+ => and1(A,B) = phi(A) ) )).++fof(and1_axiom2,axiom,(+ ! [A,B] :+ ( ( bool(A)+ & ~ bool(B) )+ => and1(A,B) = phi(B) ) )).++fof(and1_axiom3,axiom,(+ ! [B] :+ ( bool(B)+ => and1(false,B) = false ) )).++fof(and1_axiom4,axiom,(+ ! [B] :+ ( bool(B)+ => and1(true,B) = B ) )).++%----Syntactic definition of and in Figure 4:+%----The definition is:+%----P /\ Q = forall R, [ Prop(R) ] ( P -> Q -> R ) -> R.+fof(def_f1,axiom,(+ ! [P,Q,R] : f1(P,Q,R) = lazy_impl(prop(R),impl(impl(P,impl(Q,R)),R)) )).++fof(def_and2,axiom,(+ ! [P,Q] :+ ? [R] :+ ( and2(P,Q) = phi(f1(P,Q,R))+ & ~ ? [R1] : forallprefers(f1(P,Q,R1),f1(P,Q,R)) ) )).++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%----Axiomatization of semantic definition of lazy_and:+%---- If A is not bool, then <A> B = phi(A). +%---- If A is false, then <A> B = false. +%---- If A is true, then <A> B = phi(B). +fof(lazy_and1_axiom1,axiom,(+ ! [A,B] :+ ( ~ bool(A)+ => lazy_and1(A,B) = phi(A) ) )).++fof(lazy_and1_axiom2,axiom,(+ ! [B] : lazy_and1(false,B) = false )).++fof(lazy_and1_axiom3,axiom,(+ ! [B] : lazy_and1(true,B) = phi(B) )).++%----Syntactic definition of lazy_and in Figure 4:+%----The definition is:+%---- <P> Q = forall R, [ Prop(R) ] ( [ P ] Q -> R ) -> R.+fof(def_f2,axiom,(+ ! [P,Q,R] : f2(P,Q,R) = lazy_impl(prop(R),impl(lazy_impl(P,impl(Q,R)),R)) )).++fof(def_lazy_and2,axiom,(+ ! [P,Q] :+ ? [R] :+ ( lazy_and2(P,Q) = phi(f2(P,Q,R))+ & ~ ? [R1] : forallprefers(f2(P,Q,R1),f2(P,Q,R)) ) )).++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%----Axiomatization of semantic definition of or: +%---- If A is not bool, then ( A \/ B ) = phi(A).+%---- If A is bool, but B is not bool, then ( A \/ B ) = phi(B).+%---- If A = true, and B is bool, then ( A \/ B ) = true.+%---- If A = false, and B is bool, then ( A \/ B ) = B.+fof(or1_axiom1,axiom,(+ ! [A,B] :+ ( ~ bool(A)+ => or1(A,B) = phi(A) ) )).++fof(or1_axiom2,axiom,(+ ! [A,B] :+ ( ( bool(A)+ & ~ bool(B) )+ => or1(A,B) = phi(B) ) )).++fof(or1_axiom3,axiom,(+ ! [B] :+ ( bool(B)+ => or1(true,B) = true ) )).++fof(or1_axiom4,axiom,(+ ! [B] :+ ( bool(B)+ => or1(false,B) = B ) )).++%----Syntactic definition of or in Figure 4.+%----The definition is:+%----P \/ Q = forall R, [ Prop(R) ] ( P -> R ) -> ( Q -> R ) -> R.+fof(def_f3,axiom,(+ ! [P,Q,R] : f3(P,Q,R) = lazy_impl(prop(R),impl(impl(P,R),impl(impl(Q,R),R))) )).++fof(def_or2,axiom,(+ ! [P,Q] :+ ? [R] :+ ( or2(P,Q) = phi(f3(P,Q,R))+ & ~ ? [R1] : forallprefers(f3(P,Q,R1),f3(P,Q,R)) ) )).++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%----Axiomatization of semantic definition of exists. +%----+%----For each predicate, there exists an an x, s.t.+%----exists(P) = phi( P. x ) and +%---- there exists no x1, s.t. ( P. x1 ) < ( P. x ), where +%---- < is the existsprefers order, and +%---- . is the application operator. +fof(exists1_axiom1,axiom,(+ ! [P] :+ ? [X] :+ ( exists1(P) = phi(apply(P,X))+ & ~ ? [X1] : existsprefers(apply(P,X1),apply(P,X)) ) )).++%----Syntactic definition of exists in the paper:+%+%----( Exists P ) = forall R, [ Prop(R) ] ( forall x ( P x ) -> R ) -> R.+%+%----We define functions f4(P,x,R) := ( P. x ) -> R.+%---- f5(P,R) := forall x. f4( P,x,R )+%---- f6(P,R) := [ Prop(R) ] f5( P, R ) -> R. +%---- exists2(P) := forall R. f6( P, R ). +fof(def_f4,axiom,(+ ! [P,X,R] : f4(P,X,R) = impl(apply(P,X),R) )).++fof(def_f5,axiom,(+ ! [P,R] :+ ? [X] :+ ( f5(P,R) = phi(f4(P,X,R))+ & ~ ? [X1] : forallprefers(f4(P,X1,R),f4(P,X,R)) ) )).++fof(def_f6,axiom,(+ ! [P,R] : f6(P,R) = lazy_impl(prop(R),impl(f5(P,R),R)) )).++fof(def_exists2,axiom,(+ ! [P] :+ ? [R] :+ ( exists2(P) = phi(f6(P,R))+ & ~ ? [R1] : forallprefers(f6(P,R1),f6(P,R)) ) )).++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%----The semantic definition of false is just the false constant.+fof(def_false1,axiom,(+ false1 = false )).++%----The syntactic definition of false equals: +%---- false := forall P, [ Prop(P) ] P .+%----f7(P) := [ Prop(P) ] P.+fof(def_f7,axiom,(+ ! [P] : f7(P) = lazy_impl(prop(P),P) )).++fof(def_false2,axiom,(+ ? [P] :+ ( false2 = phi(f7(P))+ & ~ ? [P1] : forallprefers(f7(P1),f7(P)) ) )).++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%----Axiomatization of semantic definition of not: +%---- If A is not bool, then not(A) = phi(A). +%---- If A = false, then not(A) = true. +%---- If A = true, then not(A) = false. +fof(not1_axiom1,axiom,(+ ! [A] :+ ( ~ bool(A)+ => not1(A) = phi(A) ) )).++fof(not1_axiom2,axiom,(+ not1(false) = true )).++fof(not1_axiom3,axiom,(+ not1(true) = false )).++%----Syntactic definition of not in paper:+%----The definition is:+%----~ P := ( P -> False ).+fof(def_not2,axiom,(+ ! [P] : not2(P) = impl(P,false2) )).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SWV376+1.p view
@@ -0,0 +1,108 @@+%------------------------------------------------------------------------------+% File : SWV376+1 : TPTP v7.2.0. Released v3.3.0.+% Domain : Software Verification+% Problem : Priority queue checker: lemma_not_ok_persistence+% Version : [dNP05] axioms.+% English :++% Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe+% : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin+% Source : [Pis06]+% Names : cpq_l012 [Pis06]++% Status : Theorem+% Rating : 0.24 v7.2.0, 0.21 v7.1.0, 0.30 v7.0.0, 0.27 v6.4.0, 0.31 v6.3.0, 0.33 v6.2.0, 0.36 v6.1.0, 0.23 v6.0.0, 0.22 v5.5.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.37 v5.2.0, 0.30 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.39 v4.0.0, 0.42 v3.7.0, 0.45 v3.5.0, 0.47 v3.3.0+% Syntax : Number of formulae : 44 ( 16 unit)+% Number of atoms : 93 ( 29 equality)+% Maximal formula depth : 11 ( 5 average)+% Number of connectives : 70 ( 21 ~ ; 3 |; 12 &)+% ( 7 <=>; 27 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 11 ( 1 propositional; 0-3 arity)+% Number of functors : 19 ( 3 constant; 0-3 arity)+% Number of variables : 138 ( 4 singleton; 138 !; 0 ?)+% Maximal term depth : 4 ( 2 average)+% SPC : FOF_THM_RFO_SEQ++% Comments :+%------------------------------------------------------------------------------+%----Include the axioms about priority queues and checked priority queues+include('Axioms/SWV007+0.ax').+include('Axioms/SWV007+2.ax').+include('Axioms/SWV007+3.ax').+%------------------------------------------------------------------------------+/*----+ Explanation about induction+ ===========================++In order to prove lemma_not_ok_persistence we use the following induction+principle: (the induction principle used in Coq)+=====================+let s/1 be the successor function defined on some set S and let =</2 be the+predicate that satisfies the following axioms:++1) x =< x+2) x =< y -> x =< s(y)++ Note that our predicate succ_cpq/2 satisfies those two axioms++The induction principle: (V = for eVery++Vx ( (P(x) and Vy (x =< y -> (P(y) -> P(s(y)))) -> Vy (x=<y -> P(y)) )+======================++Let P(x) == ~(ok(x)) and let =</2 == succ/2++Then, in order to confirm correctness of lemma_not_ok_persistence we have+to only verify "Vy (x =< y -> (P(y) -> P(s(y))))" part of the induction+principle, in other words we need to prove validity of:++all(CPQ1, all(CPQ2, succ_cpq(CPQ1, CPQ2) => ( ~(ok(CPQ2)) => ~(ok(s(CPQ2))) ) )), (1)++where s(CPQ2) is the immediate successor of CPQ2++all(CPQ2, ~(ok(CPQ2)) => ~(ok(s(CPQ2))) ) (2)++is a valid formula.++the validity of formula (2) is proved in lemma_not_ok_persistence_induction,+so here we have included it as a valid formula++lemma_not_ok_persistence_induction proves the validity of formula (1)+and thus, since (1) is valid we can conclude that the following formula holds:++Vx ( P(x) -> Vy (x=<y -> P(y)) )++or in our example:++all(CPQ, ~(ok(CPQ)) => all(CPQ1, succ(CPQ, CPQ1) => ~(ok(CPQ1)) ) )++which completes the inductive proof of lemma_not_ok_persistence+----*/++%----induction axiom+fof(l12_induction,axiom,+ ( ! [U,V,W,X,Y,Z] :+ ( succ_cpq(triple(U,V,W),triple(X,Y,Z))+ => ( ~ ok(triple(X,Y,Z))+ => ~ ok(im_succ_cpq(triple(X,Y,Z))) ) )+ => ! [X1,X2,X3] :+ ( ~ ok(triple(X1,X2,X3))+ => ! [X4,X5,X6] :+ ( succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))+ => ~ ok(triple(X4,X5,X6)) ) ) )).++%----lemma_not_ok_persistence_induction (cpq_l013.p .. cpq_l016.p)+fof(l12_l13,lemma,(+ ! [U,V,W] :+ ( ~ ok(triple(U,V,W))+ => ~ ok(im_succ_cpq(triple(U,V,W))) ) )).++%----lemma_not_ok_persistence (conjecture)+fof(l12_co,conjecture,(+ ! [U,V,W] :+ ( ~ ok(triple(U,V,W))+ => ! [X,Y,Z] :+ ( succ_cpq(triple(U,V,W),triple(X,Y,Z))+ => ~ ok(triple(X,Y,Z)) ) ) )).+%------------------------------------------------------------------------------
+ test-data/tptp/fof/SYN000+0.ax view
@@ -0,0 +1,37 @@+%------------------------------------------------------------------------------+% File : SYN000+0 : TPTP v7.2.0. Released v3.6.0.+% Domain : Syntactic+% Axioms : A simple include file for FOF+% Version : Biased.+% English :++% Refs :+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 3 ( 3 unit)+% Number of atoms : 3 ( 0 equality)+% Maximal formula depth : 1 ( 1 average)+% Number of connectives : 0 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 3 ( 3 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 singleton; 0 !; 0 ?)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Some axioms to include+fof(ia1,axiom,+ ia1).++fof(ia2,axiom,+ ia2).++fof(ia3,axiom,+ ia3).++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SYN000+1.p view
@@ -0,0 +1,99 @@+%------------------------------------------------------------------------------+% File : SYN000+1 : TPTP v7.2.0. Released v4.0.0.+% Domain : Syntactic+% Problem : Basic TPTP FOF syntax+% Version : Biased.+% English : Basic TPTP FOF syntax that you can't survive without parsing.++% Refs :+% Source : [TPTP]+% Names :++% Status : Theorem+% Rating : 0.17 v7.0.0, 0.20 v6.4.0, 0.19 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.33 v6.0.0, 0.43 v5.5.0, 0.48 v5.4.0, 0.46 v5.3.0, 0.52 v5.2.0, 0.40 v5.1.0, 0.43 v5.0.0, 0.54 v4.1.0, 0.57 v4.0.1, 0.78 v4.0.0+% Syntax : Number of formulae : 12 ( 5 unit)+% Number of atoms : 31 ( 3 equality)+% Maximal formula depth : 7 ( 4 average)+% Number of connectives : 28 ( 9 ~; 10 |; 3 &)+% ( 1 <=>; 3 =>; 1 <=)+% ( 1 <~>; 0 ~|; 0 ~&)+% Number of predicates : 16 ( 10 propositional; 0-3 arity)+% Number of functors : 8 ( 5 constant; 0-3 arity)+% Number of variables : 13 ( 0 sgn; 5 !; 8 ?)+% Maximal term depth : 4 ( 2 average)+% SPC : FOF_THM_RFO_SEQ++% Comments :+%------------------------------------------------------------------------------+%----Propositional+fof(propositional,axiom,+ ( ( p0+ & ~ q0 )+ => ( r0+ | ~ s0 ) )).++%----First-order+fof(first_order,axiom,(+ ! [X] :+ ( ( p(X)+ | ~ q(X,a) )+ => ? [Y,Z] :+ ( r(X,f(Y),g(X,f(Y),Z))+ & ~ s(f(f(f(b)))) ) ) )).++%----Equality+fof(equality,axiom,(+ ? [Y] :+ ! [X,Z] :+ ( f(Y) = g(X,f(Y),Z)+ | f(f(f(b))) != a+ | X = f(Y) ) )).++%----True and false+fof(true_false,axiom,+ ( $true+ | $false )).++%----Quoted symbols+fof(single_quoted,axiom,+ ( 'A proposition'+ | 'A predicate'(a)+ | p('A constant')+ | p('A function'(a))+ | p('A \'quoted \\ escape\'') )).++%----Connectives - seen |, &, =>, ~ already+fof(useful_connectives,axiom,(+ ! [X] :+ ( ( p(X)+ <= ~ q(X,a) )+ <=> ? [Y,Z] :+ ( r(X,f(Y),g(X,f(Y),Z))+ <~> ~ s(f(f(f(b)))) ) ) )).++%----Annotated formula names+fof(123,axiom,(+ ! [X] :+ ( ( p(X)+ | ~ q(X,a) )+ => ? [Y,Z] :+ ( r(X,f(Y),g(X,f(Y),Z))+ & ~ s(f(f(f(b)))) ) ) )).++%----Roles+fof(role_hypothesis,hypothesis,(+ p(h) )).++fof(role_conjecture,conjecture,(+ ? [X] : p(X) )).++%----Include directive+include('Axioms/SYN000+0.ax').++%----Comments+/* This+ is a block+ comment.+*/++%------------------------------------------------------------------------------
+ test-data/tptp/fof/SYN002+0.ax view
@@ -0,0 +1,37 @@+%------------------------------------------------------------------------------+% File : SYN002+0 : TPTP v7.2.0. Released v3.6.0.+% Domain : Syntactic+% Axioms : Orevkov formula+% Version : [TS00] axioms : Especial.+% English : r(x,y,z)=y+2^x=z++% Refs : [TS00] Troelska & Schwichtenberg (2000), Basic Proof Theory+% : [Rat08] Raths (2008), Email to G. Sutcliffe+% Source : [Rat08]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 2 ( 1 unit)+% Number of atoms : 4 ( 0 equality)+% Maximal formula depth : 7 ( 4 average)+% Number of connectives : 2 ( 0 ~ ; 0 |; 0 &)+% ( 0 <=>; 2 =>; 0 <=)+% ( 0 <~>; 0 ~|; 0 ~&)+% Number of predicates : 1 ( 0 propositional; 3-3 arity)+% Number of functors : 2 ( 1 constant; 0-1 arity)+% Number of variables : 5 ( 0 singleton; 5 !; 0 ?)+% Maximal term depth : 2 ( 1 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+fof(hyp1,axiom,(+ ! [Y] : r(Y,zero,succ(Y)) )).++fof(hyp2,axiom,(+ ! [Y,X,Z,Z1] :+ ( r(Y,X,Z)+ => ( r(Z,X,Z1)+ => r(Y,succ(X),Z1) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/COM110_5.p view
@@ -0,0 +1,946 @@+%------------------------------------------------------------------------------+% File : COM110_5 : TPTP v7.2.0. Released v6.0.0.+% Domain : Number Theory+% Problem : Quantifier elimination for Presburger arithmetic line 255+% Version : Especial.+% English : ++% Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day+% : [Nip08] Nipkow (2008), Linear Quantifier Elimination+% : [Bla13] Blanchette (2011), Email to Geoff Sutcliffe+% Source : [Bla13]+% Names : qe_255 [Bla13]++% Status : Unknown+% Rating : 1.00 v6.4.0+% Syntax : Number of formulae : 205 ( 55 unit; 62 type)+% Number of atoms : 273 ( 118 equality)+% Maximal formula depth : 11 ( 4 average)+% Number of connectives : 160 ( 30 ~; 15 |; 10 &)+% ( 23 <=>; 82 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 29 ( 19 >; 10 *; 0 +; 0 <<)+% Number of predicates : 89 ( 66 propositional; 0-2 arity)+% Number of functors : 43 ( 14 constant; 0-4 arity)+% Number of variables : 395 ( 19 sgn; 340 !; 4 ?)+% ( 395 :; 51 !>; 0 ?*)+% Maximal term depth : 25 ( 3 average)+% SPC : TF1_UNK_EQU_NAR++% Comments : This file was generated by Isabelle (most likely Sledgehammer)+% 2011-12-13 16:24:47+%------------------------------------------------------------------------------+%----Should-be-implicit typings (6)+tff(ty_tc_HOL_Obool,type,(+ bool: $tType )).++tff(ty_tc_Int_Oint,type,(+ int: $tType )).++tff(ty_tc_List_Olist,type,(+ list: $tType > $tType )).++tff(ty_tc_PresArith_Oatom,type,(+ atom: $tType )).++tff(ty_tc_fun,type,(+ fun: ( $tType * $tType ) > $tType )).++tff(ty_tc_prod,type,(+ product_prod: ( $tType * $tType ) > $tType )).++%----Explicit typings (56)+tff(sy_cl_Rings_Oring,type,(+ ring: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Oplus,type,(+ cl_Groups_Oplus: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Ozero,type,(+ zero: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Ominus,type,(+ cl_Groups_Ominus: + !>[A: $tType] : $o )).++tff(sy_cl_Divides_Oring__div,type,(+ ring_div: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Ogroup__add,type,(+ group_add: + !>[A: $tType] : $o )).++tff(sy_cl_Finite__Set_Ofinite,type,(+ finite_finite: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Omonoid__add,type,(+ monoid_add: + !>[A: $tType] : $o )).++tff(sy_cl_Orderings_Olinorder,type,(+ linorder: + !>[A: $tType] : $o )).++tff(sy_cl_Divides_Osemiring__div,type,(+ semiring_div: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Ocomm__monoid__add,type,(+ comm_monoid_add: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Oab__semigroup__add,type,(+ ab_semigroup_add: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Ocancel__semigroup__add,type,(+ cancel_semigroup_add: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Ocancel__ab__semigroup__add,type,(+ cancel146912293up_add: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Olinordered__ab__group__add,type,(+ linord219039673up_add: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Olinordered__ab__semigroup__add,type,(+ linord2061991079up_add: + !>[A: $tType] : $o )).++tff(sy_c_Big__Operators_Olinorder__class_OMax,type,(+ big_linorder_Max: + !>[A: $tType] :+ ( fun(A,bool) > A ) )).++tff(sy_c_COMBB,type,(+ combb: + !>[B: $tType,C: $tType,A: $tType] : fun(fun(B,C),fun(fun(A,B),fun(A,C))) )).++tff(sy_c_COMBC,type,(+ combc: + !>[A: $tType,B: $tType,C: $tType] : fun(fun(A,fun(B,C)),fun(B,fun(A,C))) )).++tff(sy_c_COMBI,type,(+ combi: + !>[A: $tType] : fun(A,A) )).++tff(sy_c_COMBK,type,(+ combk: + !>[A: $tType,B: $tType] :+ ( A > fun(B,A) ) )).++tff(sy_c_COMBS,type,(+ combs: + !>[A: $tType,B: $tType,C: $tType] : fun(fun(A,fun(B,C)),fun(fun(A,B),fun(A,C))) )).++tff(sy_c_Divides_Odiv__class_Omod,type,(+ div_mod: + !>[A: $tType] :+ ( ( A * A ) > A ) )).++tff(sy_c_Finite__Set_Ofinite,type,(+ finite_finite1: + !>[A: $tType] :+ ( fun(A,bool) > $o ) )).++tff(sy_c_Groups_Ominus__class_Ominus,type,(+ minus_minus: + !>[A: $tType] : fun(A,fun(A,A)) )).++tff(sy_c_Groups_Oplus__class_Oplus,type,(+ plus_plus: + !>[A: $tType] :+ ( A > fun(A,A) ) )).++tff(sy_c_Groups_Ozero__class_Ozero,type,(+ zero_zero: + !>[A: $tType] : A )).++tff(sy_c_ListVector_Oiprod,type,(+ iprod: + !>[A: $tType] : fun(list(A),fun(list(A),A)) )).++tff(sy_c_List_Ofilter,type,(+ filter: + !>[A: $tType] :+ ( ( fun(A,bool) * list(A) ) > list(A) ) )).++tff(sy_c_List_Olist_OCons,type,(+ cons: + !>[A: $tType] :+ ( ( A * list(A) ) > list(A) ) )).++tff(sy_c_List_Olist_ONil,type,(+ nil: + !>[A: $tType] : list(A) )).++tff(sy_c_List_Omap,type,(+ map: + !>[A: $tType,B: $tType] :+ ( ( fun(A,B) * list(A) ) > list(B) ) )).++tff(sy_c_List_Oset,type,(+ set: + !>[A: $tType] :+ ( list(A) > fun(A,bool) ) )).++tff(sy_c_Orderings_Obot__class_Obot,type,(+ bot_bot: + !>[A: $tType] : A )).++tff(sy_c_PresArith_OI_092_060_094isub_062Z,type,(+ i_Z: ( atom * list(int) ) > $o )).++tff(sy_c_PresArith_Oatom_Oatom__case,type,(+ atom_case: + !>[T: $tType] :+ ( ( fun(int,fun(list(int),T)) * fun(int,fun(int,fun(list(int),T))) * fun(int,fun(int,fun(list(int),T))) ) > fun(atom,T) ) )).++tff(sy_c_PresArith_Odivisor,type,(+ divisor: fun(atom,int) )).++tff(sy_c_PresArith_Olbounds,type,(+ lbounds: list(atom) > list(product_prod(int,list(int))) )).++tff(sy_c_PresArith_Ozlcms,type,(+ zlcms: list(int) > int )).++tff(sy_c_Product__Type_OPair,type,(+ product_Pair: + !>[A: $tType,B: $tType] : fun(A,fun(B,product_prod(A,B))) )).++tff(sy_c_Set_OCollect,type,(+ collect: + !>[A: $tType] :+ ( fun(A,bool) > fun(A,bool) ) )).++tff(sy_c_aa,type,(+ aa: + !>[A: $tType,B: $tType] :+ ( ( fun(A,B) * A ) > B ) )).++tff(sy_c_fEx,type,(+ fEx: + !>[A: $tType] : fun(fun(A,bool),bool) )).++tff(sy_c_fFalse,type,(+ fFalse: bool )).++tff(sy_c_fTrue,type,(+ fTrue: bool )).++tff(sy_c_fconj,type,(+ fconj: fun(bool,fun(bool,bool)) )).++tff(sy_c_fdisj,type,(+ fdisj: fun(bool,fun(bool,bool)) )).++tff(sy_c_fequal,type,(+ fequal: + !>[A: $tType] : fun(A,fun(A,bool)) )).++tff(sy_c_member,type,(+ member: + !>[A: $tType] : fun(A,fun(fun(A,bool),bool)) )).++tff(sy_c_pp,type,(+ pp: bool > $o )).++tff(sy_v_a____,type,(+ a: atom )).++tff(sy_v_as,type,(+ as: list(atom) )).++tff(sy_v_li____,type,(+ li: int )).++tff(sy_v_lks____,type,(+ lks: list(int) )).++tff(sy_v_x____,type,(+ x: int )).++tff(sy_v_xs,type,(+ xs: list(int) )).++%----Relevant facts (99)+tff(fact_0__096is__dvd_Aa_096,axiom,(+ pp(aa(atom,bool,atom_case(bool,combk(fun(list(int),bool),int,combk(bool,list(int),fFalse)),combk(fun(int,fun(list(int),bool)),int,combk(fun(list(int),bool),int,combk(bool,list(int),fTrue))),combk(fun(int,fun(list(int),bool)),int,combk(fun(list(int),bool),int,combk(bool,list(int),fTrue)))),a)) )).++tff(fact_1__096_Ili_M_Alks_J_A_058_Aset_A_Ilbounds_Aas_J_096,axiom,(+ pp(aa(fun(product_prod(int,list(int)),bool),bool,aa(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool),member(product_prod(int,list(int))),aa(list(int),product_prod(int,list(int)),aa(int,fun(list(int),product_prod(int,list(int))),product_Pair(int,list(int)),li),lks)),set(product_prod(int,list(int)),lbounds(as)))) )).++tff(fact_2_lm,axiom,(+ big_linorder_Max(int,collect(int,aa(fun(int,fun(list(int),bool)),fun(int,bool),aa(fun(fun(list(int),bool),bool),fun(fun(int,fun(list(int),bool)),fun(int,bool)),combb(fun(list(int),bool),bool,int),fEx(list(int))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool)),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool))),combb(fun(list(int),fun(int,bool)),fun(list(int),bool),int),aa(fun(fun(int,bool),bool),fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),combb(fun(int,bool),bool,list(int)),fEx(int))),aa(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),aa(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),aa(fun(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))))),combb(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),int),combs(list(int),fun(int,bool),fun(int,bool))),aa(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),aa(fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool))))),combb(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool))),int),aa(fun(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),combb(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),list(int)),combs(int,bool,bool))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool)))),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool))))),combb(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool))),int),aa(fun(fun(int,bool),fun(int,fun(bool,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),combb(fun(int,bool),fun(int,fun(bool,bool)),list(int)),aa(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj))),aa(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),aa(fun(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))))),combb(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),int),combb(fun(int,int),fun(int,bool),list(int))),aa(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool))),aa(fun(fun(int,bool),fun(fun(int,int),fun(int,bool))),fun(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool)))),combb(fun(int,bool),fun(fun(int,int),fun(int,bool)),int),combb(int,bool,int)),fequal(int)))),aa(fun(list(int),int),fun(list(int),fun(int,int)),aa(fun(int,fun(int,int)),fun(fun(list(int),int),fun(list(int),fun(int,int))),combb(int,fun(int,int),list(int)),aa(fun(int,fun(int,int)),fun(int,fun(int,int)),combc(int,int,int),minus_minus(int))),aa(list(int),fun(list(int),int),aa(fun(list(int),fun(list(int),int)),fun(list(int),fun(list(int),int)),combc(list(int),list(int),int),iprod(int)),xs))))))),aa(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool)),aa(fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool))),combc(list(int),fun(product_prod(int,list(int)),bool),fun(int,bool)),aa(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),aa(fun(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)))),combb(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)),list(int)),combc(int,fun(product_prod(int,list(int)),bool),bool)),aa(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),aa(fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)))),combb(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),list(int)),aa(fun(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),combb(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool),int),member(product_prod(int,list(int))))),aa(fun(int,fun(list(int),product_prod(int,list(int)))),fun(list(int),fun(int,product_prod(int,list(int)))),combc(int,list(int),product_prod(int,list(int))),product_Pair(int,list(int)))))),set(product_prod(int,list(int)),lbounds(as)))))))) = aa(int,int,aa(int,fun(int,int),minus_minus(int),li),aa(list(int),int,aa(list(int),fun(list(int),int),iprod(int),lks),xs)) )).++tff(fact_3__096lbounds_Aas_A_126_061_A_091_093_096,axiom,(+ lbounds(as) != nil(product_prod(int,list(int))) )).++tff(fact_4__096Max_A_123i_A_N_A_092_060langle_062ks_Mxs_092_060rangle_062_A_124ks_Ai_O_A_Ii_M_Aks_J_A_058_Aset_A_Ilbounds_Aas_J_125_058_A_123i_A_N_A_092_060langle_062ks_Mxs_092_060rangle_062_A_124ks_Ai_O_A_Ii_M_Aks_J_A_058_Aset_A_Ilbounds_Aas_J_125_096,axiom,(+ pp(aa(fun(int,bool),bool,aa(int,fun(fun(int,bool),bool),member(int),big_linorder_Max(int,collect(int,aa(fun(int,fun(list(int),bool)),fun(int,bool),aa(fun(fun(list(int),bool),bool),fun(fun(int,fun(list(int),bool)),fun(int,bool)),combb(fun(list(int),bool),bool,int),fEx(list(int))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool)),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool))),combb(fun(list(int),fun(int,bool)),fun(list(int),bool),int),aa(fun(fun(int,bool),bool),fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),combb(fun(int,bool),bool,list(int)),fEx(int))),aa(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),aa(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),aa(fun(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))))),combb(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),int),combs(list(int),fun(int,bool),fun(int,bool))),aa(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),aa(fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool))))),combb(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool))),int),aa(fun(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),combb(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),list(int)),combs(int,bool,bool))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool)))),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool))))),combb(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool))),int),aa(fun(fun(int,bool),fun(int,fun(bool,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),combb(fun(int,bool),fun(int,fun(bool,bool)),list(int)),aa(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj))),aa(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),aa(fun(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))))),combb(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),int),combb(fun(int,int),fun(int,bool),list(int))),aa(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool))),aa(fun(fun(int,bool),fun(fun(int,int),fun(int,bool))),fun(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool)))),combb(fun(int,bool),fun(fun(int,int),fun(int,bool)),int),combb(int,bool,int)),fequal(int)))),aa(fun(list(int),int),fun(list(int),fun(int,int)),aa(fun(int,fun(int,int)),fun(fun(list(int),int),fun(list(int),fun(int,int))),combb(int,fun(int,int),list(int)),aa(fun(int,fun(int,int)),fun(int,fun(int,int)),combc(int,int,int),minus_minus(int))),aa(list(int),fun(list(int),int),aa(fun(list(int),fun(list(int),int)),fun(list(int),fun(list(int),int)),combc(list(int),list(int),int),iprod(int)),xs))))))),aa(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool)),aa(fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool))),combc(list(int),fun(product_prod(int,list(int)),bool),fun(int,bool)),aa(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),aa(fun(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)))),combb(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)),list(int)),combc(int,fun(product_prod(int,list(int)),bool),bool)),aa(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),aa(fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)))),combb(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),list(int)),aa(fun(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),combb(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool),int),member(product_prod(int,list(int))))),aa(fun(int,fun(list(int),product_prod(int,list(int)))),fun(list(int),fun(int,product_prod(int,list(int)))),combc(int,list(int),product_prod(int,list(int))),product_Pair(int,list(int)))))),set(product_prod(int,list(int)),lbounds(as))))))))),collect(int,aa(fun(int,fun(list(int),bool)),fun(int,bool),aa(fun(fun(list(int),bool),bool),fun(fun(int,fun(list(int),bool)),fun(int,bool)),combb(fun(list(int),bool),bool,int),fEx(list(int))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool)),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool))),combb(fun(list(int),fun(int,bool)),fun(list(int),bool),int),aa(fun(fun(int,bool),bool),fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),combb(fun(int,bool),bool,list(int)),fEx(int))),aa(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),aa(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),aa(fun(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))))),combb(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),int),combs(list(int),fun(int,bool),fun(int,bool))),aa(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),aa(fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool))))),combb(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool))),int),aa(fun(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),combb(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),list(int)),combs(int,bool,bool))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool)))),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool))))),combb(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool))),int),aa(fun(fun(int,bool),fun(int,fun(bool,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),combb(fun(int,bool),fun(int,fun(bool,bool)),list(int)),aa(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj))),aa(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),aa(fun(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))))),combb(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),int),combb(fun(int,int),fun(int,bool),list(int))),aa(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool))),aa(fun(fun(int,bool),fun(fun(int,int),fun(int,bool))),fun(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool)))),combb(fun(int,bool),fun(fun(int,int),fun(int,bool)),int),combb(int,bool,int)),fequal(int)))),aa(fun(list(int),int),fun(list(int),fun(int,int)),aa(fun(int,fun(int,int)),fun(fun(list(int),int),fun(list(int),fun(int,int))),combb(int,fun(int,int),list(int)),aa(fun(int,fun(int,int)),fun(int,fun(int,int)),combc(int,int,int),minus_minus(int))),aa(list(int),fun(list(int),int),aa(fun(list(int),fun(list(int),int)),fun(list(int),fun(list(int),int)),combc(list(int),list(int),int),iprod(int)),xs))))))),aa(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool)),aa(fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool))),combc(list(int),fun(product_prod(int,list(int)),bool),fun(int,bool)),aa(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),aa(fun(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)))),combb(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)),list(int)),combc(int,fun(product_prod(int,list(int)),bool),bool)),aa(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),aa(fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)))),combb(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),list(int)),aa(fun(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),combb(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool),int),member(product_prod(int,list(int))))),aa(fun(int,fun(list(int),product_prod(int,list(int)))),fun(list(int),fun(int,product_prod(int,list(int)))),combc(int,list(int),product_prod(int,list(int))),product_Pair(int,list(int)))))),set(product_prod(int,list(int)),lbounds(as))))))))) )).++tff(fact_5__096a_A_058_Aset_Aas_096,axiom,(+ pp(aa(fun(atom,bool),bool,aa(atom,fun(fun(atom,bool),bool),member(atom),a),set(atom,as))) )).++tff(fact_6__096_B_Bthesis_O_A_I_B_Bli_Alks_O_A_091_124_A_Ili_M_Alks_J_A_058_Aset_A_Ilbounds_Aas_J_059_AMax_A_123i_A_N_A_092_060langle_062ks_Mxs_092_060rangle_062_A_124ks_Ai_O_A_Ii_M_Aks_J_A_058_Aset_A_Ilbounds_Aas_J_125_A_061_Ali_A_N_A_092_060langle_062lks_Mxs_092_060rangle_062_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom,(+ ~ ! [Li: int,Lks: list(int)] :+ ( pp(aa(fun(product_prod(int,list(int)),bool),bool,aa(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool),member(product_prod(int,list(int))),aa(list(int),product_prod(int,list(int)),aa(int,fun(list(int),product_prod(int,list(int))),product_Pair(int,list(int)),Li),Lks)),set(product_prod(int,list(int)),lbounds(as))))+ => big_linorder_Max(int,collect(int,aa(fun(int,fun(list(int),bool)),fun(int,bool),aa(fun(fun(list(int),bool),bool),fun(fun(int,fun(list(int),bool)),fun(int,bool)),combb(fun(list(int),bool),bool,int),fEx(list(int))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool)),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool))),combb(fun(list(int),fun(int,bool)),fun(list(int),bool),int),aa(fun(fun(int,bool),bool),fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),combb(fun(int,bool),bool,list(int)),fEx(int))),aa(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),aa(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),aa(fun(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))))),combb(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),int),combs(list(int),fun(int,bool),fun(int,bool))),aa(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),aa(fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool))))),combb(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool))),int),aa(fun(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),combb(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),list(int)),combs(int,bool,bool))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool)))),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool))))),combb(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool))),int),aa(fun(fun(int,bool),fun(int,fun(bool,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),combb(fun(int,bool),fun(int,fun(bool,bool)),list(int)),aa(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj))),aa(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),aa(fun(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))))),combb(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),int),combb(fun(int,int),fun(int,bool),list(int))),aa(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool))),aa(fun(fun(int,bool),fun(fun(int,int),fun(int,bool))),fun(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool)))),combb(fun(int,bool),fun(fun(int,int),fun(int,bool)),int),combb(int,bool,int)),fequal(int)))),aa(fun(list(int),int),fun(list(int),fun(int,int)),aa(fun(int,fun(int,int)),fun(fun(list(int),int),fun(list(int),fun(int,int))),combb(int,fun(int,int),list(int)),aa(fun(int,fun(int,int)),fun(int,fun(int,int)),combc(int,int,int),minus_minus(int))),aa(list(int),fun(list(int),int),aa(fun(list(int),fun(list(int),int)),fun(list(int),fun(list(int),int)),combc(list(int),list(int),int),iprod(int)),xs))))))),aa(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool)),aa(fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool))),combc(list(int),fun(product_prod(int,list(int)),bool),fun(int,bool)),aa(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),aa(fun(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)))),combb(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)),list(int)),combc(int,fun(product_prod(int,list(int)),bool),bool)),aa(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),aa(fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)))),combb(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),list(int)),aa(fun(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),combb(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool),int),member(product_prod(int,list(int))))),aa(fun(int,fun(list(int),product_prod(int,list(int)))),fun(list(int),fun(int,product_prod(int,list(int)))),combc(int,list(int),product_prod(int,list(int))),product_Pair(int,list(int)))))),set(product_prod(int,list(int)),lbounds(as)))))))) != aa(int,int,aa(int,fun(int,int),minus_minus(int),Li),aa(list(int),int,aa(list(int),fun(list(int),int),iprod(int),Lks),xs)) ) )).++tff(fact_7__096finite_A_123i_A_N_A_092_060langle_062ks_Mxs_092_060rangle_062_A_124ks_Ai_O_A_Ii_M_Aks_J_A_058_Aset_A_Ilbounds_Aas_J_125_096,axiom,(+ finite_finite1(int,collect(int,aa(fun(int,fun(list(int),bool)),fun(int,bool),aa(fun(fun(list(int),bool),bool),fun(fun(int,fun(list(int),bool)),fun(int,bool)),combb(fun(list(int),bool),bool,int),fEx(list(int))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool)),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool))),combb(fun(list(int),fun(int,bool)),fun(list(int),bool),int),aa(fun(fun(int,bool),bool),fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),combb(fun(int,bool),bool,list(int)),fEx(int))),aa(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),aa(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),aa(fun(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))))),combb(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),int),combs(list(int),fun(int,bool),fun(int,bool))),aa(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),aa(fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool))))),combb(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool))),int),aa(fun(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),combb(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),list(int)),combs(int,bool,bool))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool)))),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool))))),combb(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool))),int),aa(fun(fun(int,bool),fun(int,fun(bool,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),combb(fun(int,bool),fun(int,fun(bool,bool)),list(int)),aa(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj))),aa(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),aa(fun(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))))),combb(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),int),combb(fun(int,int),fun(int,bool),list(int))),aa(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool))),aa(fun(fun(int,bool),fun(fun(int,int),fun(int,bool))),fun(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool)))),combb(fun(int,bool),fun(fun(int,int),fun(int,bool)),int),combb(int,bool,int)),fequal(int)))),aa(fun(list(int),int),fun(list(int),fun(int,int)),aa(fun(int,fun(int,int)),fun(fun(list(int),int),fun(list(int),fun(int,int))),combb(int,fun(int,int),list(int)),aa(fun(int,fun(int,int)),fun(int,fun(int,int)),combc(int,int,int),minus_minus(int))),aa(list(int),fun(list(int),int),aa(fun(list(int),fun(list(int),int)),fun(list(int),fun(list(int),int)),combc(list(int),list(int),int),iprod(int)),xs))))))),aa(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool)),aa(fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool))),combc(list(int),fun(product_prod(int,list(int)),bool),fun(int,bool)),aa(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),aa(fun(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)))),combb(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)),list(int)),combc(int,fun(product_prod(int,list(int)),bool),bool)),aa(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),aa(fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)))),combb(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),list(int)),aa(fun(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),combb(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool),int),member(product_prod(int,list(int))))),aa(fun(int,fun(list(int),product_prod(int,list(int)))),fun(list(int),fun(int,product_prod(int,list(int)))),combc(int,list(int),product_prod(int,list(int))),product_Pair(int,list(int)))))),set(product_prod(int,list(int)),lbounds(as)))))))) )).++tff(fact_8__096_123i_A_N_A_092_060langle_062ks_Mxs_092_060rangle_062_A_124ks_Ai_O_A_Ii_M_Aks_J_A_058_Aset_A_Ilbounds_Aas_J_125_A_126_061_A_123_125_096,axiom,(+ collect(int,aa(fun(int,fun(list(int),bool)),fun(int,bool),aa(fun(fun(list(int),bool),bool),fun(fun(int,fun(list(int),bool)),fun(int,bool)),combb(fun(list(int),bool),bool,int),fEx(list(int))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool)),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool))),combb(fun(list(int),fun(int,bool)),fun(list(int),bool),int),aa(fun(fun(int,bool),bool),fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),combb(fun(int,bool),bool,list(int)),fEx(int))),aa(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),aa(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),aa(fun(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))))),combb(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),int),combs(list(int),fun(int,bool),fun(int,bool))),aa(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),aa(fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool))))),combb(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool))),int),aa(fun(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),combb(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),list(int)),combs(int,bool,bool))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool)))),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool))))),combb(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool))),int),aa(fun(fun(int,bool),fun(int,fun(bool,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),combb(fun(int,bool),fun(int,fun(bool,bool)),list(int)),aa(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj))),aa(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),aa(fun(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))))),combb(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),int),combb(fun(int,int),fun(int,bool),list(int))),aa(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool))),aa(fun(fun(int,bool),fun(fun(int,int),fun(int,bool))),fun(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool)))),combb(fun(int,bool),fun(fun(int,int),fun(int,bool)),int),combb(int,bool,int)),fequal(int)))),aa(fun(list(int),int),fun(list(int),fun(int,int)),aa(fun(int,fun(int,int)),fun(fun(list(int),int),fun(list(int),fun(int,int))),combb(int,fun(int,int),list(int)),aa(fun(int,fun(int,int)),fun(int,fun(int,int)),combc(int,int,int),minus_minus(int))),aa(list(int),fun(list(int),int),aa(fun(list(int),fun(list(int),int)),fun(list(int),fun(list(int),int)),combc(list(int),list(int),int),iprod(int)),xs))))))),aa(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool)),aa(fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool))),combc(list(int),fun(product_prod(int,list(int)),bool),fun(int,bool)),aa(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),aa(fun(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)))),combb(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)),list(int)),combc(int,fun(product_prod(int,list(int)),bool),bool)),aa(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),aa(fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)))),combb(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),list(int)),aa(fun(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),combb(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool),int),member(product_prod(int,list(int))))),aa(fun(int,fun(list(int),product_prod(int,list(int)))),fun(list(int),fun(int,product_prod(int,list(int)))),combc(int,list(int),product_prod(int,list(int))),product_Pair(int,list(int)))))),set(product_prod(int,list(int)),lbounds(as))))))) != bot_bot(fun(int,bool)) )).++tff(fact_9_set__filter,axiom,(+ ! [A: $tType,Xsa: list(A),P1: fun(A,bool)] : set(A,filter(A,P1,Xsa)) = collect(A,aa(fun(A,bool),fun(A,bool),aa(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),aa(fun(A,bool),fun(A,fun(bool,bool)),aa(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fconj),aa(fun(A,bool),fun(A,bool),aa(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),set(A,Xsa)))),P1)) )).++tff(fact_10_map__eq__conv,axiom,(+ ! [A: $tType,B: $tType,G: fun(B,A),Xsa: list(B),F: fun(B,A)] :+ ( map(B,A,F,Xsa) = map(B,A,G,Xsa)+ <=> ! [X3: B] :+ ( pp(aa(fun(B,bool),bool,aa(B,fun(fun(B,bool),bool),member(B),X3),set(B,Xsa)))+ => aa(B,A,F,X3) = aa(B,A,G,X3) ) ) )).++tff(fact_11_mod__add__self2,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [B3: A,A2: A] : div_mod(A,aa(A,A,plus_plus(A,A2),B3),B3) = div_mod(A,A2,B3) ) )).++tff(fact_12_mod__add__self1,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [A2: A,B3: A] : div_mod(A,aa(A,A,plus_plus(A,B3),A2),B3) = div_mod(A,A2,B3) ) )).++tff(fact_13_filter__filter,axiom,(+ ! [A: $tType,Xsa: list(A),Q1: fun(A,bool),P1: fun(A,bool)] : filter(A,P1,filter(A,Q1,Xsa)) = filter(A,aa(fun(A,bool),fun(A,bool),aa(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),aa(fun(A,bool),fun(A,fun(bool,bool)),aa(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fconj),Q1)),P1),Xsa) )).++tff(fact_14_map__ident,axiom,(+ ! [A: $tType,X2: list(A)] : map(A,A,combi(A),X2) = X2 )).++tff(fact_15_mod__mod__trivial,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [B3: A,A2: A] : div_mod(A,div_mod(A,A2,B3),B3) = div_mod(A,A2,B3) ) )).++tff(fact_16_add__left__cancel,axiom,(+ ! [A: $tType] :+ ( cancel_semigroup_add(A)+ => ! [C2: A,B1: A,Aa: A] :+ ( aa(A,A,plus_plus(A,Aa),B1) = aa(A,A,plus_plus(A,Aa),C2)+ <=> B1 = C2 ) ) )).++tff(fact_17_add__right__cancel,axiom,(+ ! [A: $tType] :+ ( cancel_semigroup_add(A)+ => ! [C2: A,Aa: A,B1: A] :+ ( aa(A,A,plus_plus(A,B1),Aa) = aa(A,A,plus_plus(A,C2),Aa)+ <=> B1 = C2 ) ) )).++tff(fact_18_split__paired__All,axiom,(+ ! [A: $tType,B: $tType,P1: fun(product_prod(A,B),bool)] :+ ( ! [X11: product_prod(A,B)] : pp(aa(product_prod(A,B),bool,P1,X11))+ <=> ! [A5: A,B4: B] : pp(aa(product_prod(A,B),bool,P1,aa(B,product_prod(A,B),aa(A,fun(B,product_prod(A,B)),product_Pair(A,B),A5),B4))) ) )).++tff(fact_19_Pair__eq,axiom,(+ ! [A: $tType,B: $tType,B6: B,A4: A,B1: B,Aa: A] :+ ( aa(B,product_prod(A,B),aa(A,fun(B,product_prod(A,B)),product_Pair(A,B),Aa),B1) = aa(B,product_prod(A,B),aa(A,fun(B,product_prod(A,B)),product_Pair(A,B),A4),B6)+ <=> ( Aa = A4+ & B1 = B6 ) ) )).++tff(fact_20_finite__set,axiom,(+ ! [A: $tType,Xsa: list(A)] : finite_finite1(A,set(A,Xsa)) )).++tff(fact_21_map__is__Nil__conv,axiom,(+ ! [A: $tType,B: $tType,Xsa: list(B),F: fun(B,A)] :+ ( map(B,A,F,Xsa) = nil(A)+ <=> Xsa = nil(B) ) )).++tff(fact_22_map_Osimps_I1_J,axiom,(+ ! [B: $tType,A: $tType,F: fun(B,A)] : map(B,A,F,nil(B)) = nil(A) )).++tff(fact_23_Nil__is__map__conv,axiom,(+ ! [A: $tType,B: $tType,Xsa: list(B),F: fun(B,A)] :+ ( nil(A) = map(B,A,F,Xsa)+ <=> Xsa = nil(B) ) )).++tff(fact_24_filter_Osimps_I1_J,axiom,(+ ! [A: $tType,P1: fun(A,bool)] : filter(A,P1,nil(A)) = nil(A) )).++tff(fact_25_List_Oset_Osimps_I1_J,axiom,(+ ! [A: $tType] : set(A,nil(A)) = bot_bot(fun(A,bool)) )).++tff(fact_26_set__empty2,axiom,(+ ! [A: $tType,Xsa: list(A)] :+ ( bot_bot(fun(A,bool)) = set(A,Xsa)+ <=> Xsa = nil(A) ) )).++tff(fact_27_set__empty,axiom,(+ ! [A: $tType,Xsa: list(A)] :+ ( set(A,Xsa) = bot_bot(fun(A,bool))+ <=> Xsa = nil(A) ) )).++tff(fact_28_norm,axiom,(+ ! [X2: atom] :+ ( pp(aa(fun(atom,bool),bool,aa(atom,fun(fun(atom,bool),bool),member(atom),X2),set(atom,as)))+ => aa(atom,int,divisor,X2) != zero_zero(int) ) )).++tff(fact_29_filter__empty__conv,axiom,(+ ! [A: $tType,Xsa: list(A),P1: fun(A,bool)] :+ ( filter(A,P1,Xsa) = nil(A)+ <=> ! [X3: A] :+ ( pp(aa(fun(A,bool),bool,aa(A,fun(fun(A,bool),bool),member(A),X3),set(A,Xsa)))+ => ~ pp(aa(A,bool,P1,X3)) ) ) )).++tff(fact_30_Pair__inject,axiom,(+ ! [A: $tType,B: $tType,B5: B,A3: A,B3: B,A2: A] :+ ( aa(B,product_prod(A,B),aa(A,fun(B,product_prod(A,B)),product_Pair(A,B),A2),B3) = aa(B,product_prod(A,B),aa(A,fun(B,product_prod(A,B)),product_Pair(A,B),A3),B5)+ => ~ ( A2 = A3+ => B3 != B5 ) ) )).++tff(fact_31_add__right__imp__eq,axiom,(+ ! [A: $tType] :+ ( cancel_semigroup_add(A)+ => ! [C1: A,A2: A,B3: A] :+ ( aa(A,A,plus_plus(A,B3),A2) = aa(A,A,plus_plus(A,C1),A2)+ => B3 = C1 ) ) )).++tff(fact_32_add__imp__eq,axiom,(+ ! [A: $tType] :+ ( cancel146912293up_add(A)+ => ! [C1: A,B3: A,A2: A] :+ ( aa(A,A,plus_plus(A,A2),B3) = aa(A,A,plus_plus(A,A2),C1)+ => B3 = C1 ) ) )).++tff(fact_33_add__left__imp__eq,axiom,(+ ! [A: $tType] :+ ( cancel_semigroup_add(A)+ => ! [C1: A,B3: A,A2: A] :+ ( aa(A,A,plus_plus(A,A2),B3) = aa(A,A,plus_plus(A,A2),C1)+ => B3 = C1 ) ) )).++tff(fact_34_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,(+ ! [A: $tType] :+ ( ab_semigroup_add(A)+ => ! [C1: A,B3: A,A2: A] : aa(A,A,plus_plus(A,aa(A,A,plus_plus(A,A2),B3)),C1) = aa(A,A,plus_plus(A,A2),aa(A,A,plus_plus(A,B3),C1)) ) )).++tff(fact_35_diff__eq__diff__eq,axiom,(+ ! [A: $tType] :+ ( group_add(A)+ => ! [D: A,C2: A,B1: A,Aa: A] :+ ( aa(A,A,aa(A,fun(A,A),minus_minus(A),Aa),B1) = aa(A,A,aa(A,fun(A,A),minus_minus(A),C2),D)+ => ( Aa = B1+ <=> C2 = D ) ) ) )).++tff(fact_36_add__diff__cancel,axiom,(+ ! [A: $tType] :+ ( group_add(A)+ => ! [B3: A,A2: A] : aa(A,A,aa(A,fun(A,A),minus_minus(A),aa(A,A,plus_plus(A,A2),B3)),B3) = A2 ) )).++tff(fact_37_diff__add__cancel,axiom,(+ ! [A: $tType] :+ ( group_add(A)+ => ! [B3: A,A2: A] : aa(A,A,plus_plus(A,aa(A,A,aa(A,fun(A,A),minus_minus(A),A2),B3)),B3) = A2 ) )).++tff(fact_38_mod__add__cong,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [B5: A,B3: A,A3: A,C1: A,A2: A] :+ ( div_mod(A,A2,C1) = div_mod(A,A3,C1)+ => ( div_mod(A,B3,C1) = div_mod(A,B5,C1)+ => div_mod(A,aa(A,A,plus_plus(A,A2),B3),C1) = div_mod(A,aa(A,A,plus_plus(A,A3),B5),C1) ) ) ) )).++tff(fact_39_zmod__simps_I1_J,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [B3: A,C1: A,A2: A] : div_mod(A,aa(A,A,plus_plus(A,div_mod(A,A2,C1)),B3),C1) = div_mod(A,aa(A,A,plus_plus(A,A2),B3),C1) ) )).++tff(fact_40_zmod__simps_I2_J,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [C1: A,B3: A,A2: A] : div_mod(A,aa(A,A,plus_plus(A,A2),div_mod(A,B3,C1)),C1) = div_mod(A,aa(A,A,plus_plus(A,A2),B3),C1) ) )).++tff(fact_41_mod__add__eq,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [C1: A,B3: A,A2: A] : div_mod(A,aa(A,A,plus_plus(A,A2),B3),C1) = div_mod(A,aa(A,A,plus_plus(A,div_mod(A,A2,C1)),div_mod(A,B3,C1)),C1) ) )).++tff(fact_42_mod__add__left__eq,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [C1: A,B3: A,A2: A] : div_mod(A,aa(A,A,plus_plus(A,A2),B3),C1) = div_mod(A,aa(A,A,plus_plus(A,div_mod(A,A2,C1)),B3),C1) ) )).++tff(fact_43_mod__add__right__eq,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [C1: A,B3: A,A2: A] : div_mod(A,aa(A,A,plus_plus(A,A2),B3),C1) = div_mod(A,aa(A,A,plus_plus(A,A2),div_mod(A,B3,C1)),C1) ) )).++tff(fact_44_mod__diff__cong,axiom,(+ ! [A: $tType] :+ ( ring_div(A)+ => ! [B5: A,B3: A,A3: A,C1: A,A2: A] :+ ( div_mod(A,A2,C1) = div_mod(A,A3,C1)+ => ( div_mod(A,B3,C1) = div_mod(A,B5,C1)+ => div_mod(A,aa(A,A,aa(A,fun(A,A),minus_minus(A),A2),B3),C1) = div_mod(A,aa(A,A,aa(A,fun(A,A),minus_minus(A),A3),B5),C1) ) ) ) )).++tff(fact_45_mod__diff__eq,axiom,(+ ! [A: $tType] :+ ( ring_div(A)+ => ! [C1: A,B3: A,A2: A] : div_mod(A,aa(A,A,aa(A,fun(A,A),minus_minus(A),A2),B3),C1) = div_mod(A,aa(A,A,aa(A,fun(A,A),minus_minus(A),div_mod(A,A2,C1)),div_mod(A,B3,C1)),C1) ) )).++tff(fact_46_mod__diff__left__eq,axiom,(+ ! [A: $tType] :+ ( ring_div(A)+ => ! [C1: A,B3: A,A2: A] : div_mod(A,aa(A,A,aa(A,fun(A,A),minus_minus(A),A2),B3),C1) = div_mod(A,aa(A,A,aa(A,fun(A,A),minus_minus(A),div_mod(A,A2,C1)),B3),C1) ) )).++tff(fact_47_mod__diff__right__eq,axiom,(+ ! [A: $tType] :+ ( ring_div(A)+ => ! [C1: A,B3: A,A2: A] : div_mod(A,aa(A,A,aa(A,fun(A,A),minus_minus(A),A2),B3),C1) = div_mod(A,aa(A,A,aa(A,fun(A,A),minus_minus(A),A2),div_mod(A,B3,C1)),C1) ) )).++tff(fact_48_filter__id__conv,axiom,(+ ! [A: $tType,Xsa: list(A),P1: fun(A,bool)] :+ ( filter(A,P1,Xsa) = Xsa+ <=> ! [X3: A] :+ ( pp(aa(fun(A,bool),bool,aa(A,fun(fun(A,bool),bool),member(A),X3),set(A,Xsa)))+ => pp(aa(A,bool,P1,X3)) ) ) )).++tff(fact_49_zdiff__zmod__left,axiom,(+ ! [Y: int,M: int,X: int] : div_mod(int,aa(int,int,aa(int,fun(int,int),minus_minus(int),div_mod(int,X,M)),Y),M) = div_mod(int,aa(int,int,aa(int,fun(int,int),minus_minus(int),X),Y),M) )).++tff(fact_50_zdiff__zmod__right,axiom,(+ ! [M: int,Y: int,X: int] : div_mod(int,aa(int,int,aa(int,fun(int,int),minus_minus(int),X),div_mod(int,Y,M)),M) = div_mod(int,aa(int,int,aa(int,fun(int,int),minus_minus(int),X),Y),M) )).++tff(fact_51_add__Max__commute,axiom,(+ ! [A: $tType] :+ ( linord2061991079up_add(A)+ => ! [K: A,N: fun(A,bool)] :+ ( finite_finite1(A,N)+ => ( N != bot_bot(fun(A,bool))+ => aa(A,A,plus_plus(A,K),big_linorder_Max(A,N)) = big_linorder_Max(A,collect(A,aa(fun(A,fun(A,bool)),fun(A,bool),aa(fun(fun(A,bool),bool),fun(fun(A,fun(A,bool)),fun(A,bool)),combb(fun(A,bool),bool,A),fEx(A)),aa(fun(A,bool),fun(A,fun(A,bool)),aa(fun(A,fun(fun(A,bool),fun(A,bool))),fun(fun(A,bool),fun(A,fun(A,bool))),combc(A,fun(A,bool),fun(A,bool)),aa(fun(A,fun(A,fun(bool,bool))),fun(A,fun(fun(A,bool),fun(A,bool))),aa(fun(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool))),fun(fun(A,fun(A,fun(bool,bool))),fun(A,fun(fun(A,bool),fun(A,bool)))),combb(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),A),combs(A,bool,bool)),aa(fun(A,fun(A,bool)),fun(A,fun(A,fun(bool,bool))),aa(fun(fun(A,bool),fun(A,fun(bool,bool))),fun(fun(A,fun(A,bool)),fun(A,fun(A,fun(bool,bool)))),combb(fun(A,bool),fun(A,fun(bool,bool)),A),aa(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fconj)),aa(fun(A,A),fun(A,fun(A,bool)),aa(fun(A,fun(fun(A,A),fun(A,bool))),fun(fun(A,A),fun(A,fun(A,bool))),combc(A,fun(A,A),fun(A,bool)),aa(fun(A,fun(A,bool)),fun(A,fun(fun(A,A),fun(A,bool))),aa(fun(fun(A,bool),fun(fun(A,A),fun(A,bool))),fun(fun(A,fun(A,bool)),fun(A,fun(fun(A,A),fun(A,bool)))),combb(fun(A,bool),fun(fun(A,A),fun(A,bool)),A),combb(A,bool,A)),fequal(A))),plus_plus(A,K))))),aa(fun(A,bool),fun(A,bool),aa(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),N))))) ) ) ) )).++tff(fact_52_finite_OemptyI,axiom,(+ ! [A: $tType] : finite_finite1(A,bot_bot(fun(A,bool))) )).++tff(fact_53_filter__False,axiom,(+ ! [A: $tType,P1: fun(A,bool),Xsa: list(A)] :+ ( ! [X1: A] :+ ( pp(aa(fun(A,bool),bool,aa(A,fun(fun(A,bool),bool),member(A),X1),set(A,Xsa)))+ => ~ pp(aa(A,bool,P1,X1)) )+ => filter(A,P1,Xsa) = nil(A) ) )).++tff(fact_54_finite__Collect__disjI,axiom,(+ ! [A: $tType,Q1: fun(A,bool),P1: fun(A,bool)] :+ ( finite_finite1(A,collect(A,aa(fun(A,bool),fun(A,bool),aa(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),aa(fun(A,bool),fun(A,fun(bool,bool)),aa(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fdisj),P1)),Q1)))+ <=> ( finite_finite1(A,collect(A,P1))+ & finite_finite1(A,collect(A,Q1)) ) ) )).++tff(fact_55_finite__Collect__conjI,axiom,(+ ! [A: $tType,Q1: fun(A,bool),P1: fun(A,bool)] :+ ( ( finite_finite1(A,collect(A,P1))+ | finite_finite1(A,collect(A,Q1)) )+ => finite_finite1(A,collect(A,aa(fun(A,bool),fun(A,bool),aa(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),aa(fun(A,bool),fun(A,fun(bool,bool)),aa(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fconj),P1)),Q1))) ) )).++tff(fact_56_split__paired__Ex,axiom,(+ ! [A: $tType,B: $tType,P1: fun(product_prod(A,B),bool)] :+ ( ? [X11: product_prod(A,B)] : pp(aa(product_prod(A,B),bool,P1,X11))+ <=> ? [A5: A,B4: B] : pp(aa(product_prod(A,B),bool,P1,aa(B,product_prod(A,B),aa(A,fun(B,product_prod(A,B)),product_Pair(A,B),A5),B4))) ) )).++tff(fact_57_Max__in,axiom,(+ ! [A: $tType] :+ ( linorder(A)+ => ! [A1: fun(A,bool)] :+ ( finite_finite1(A,A1)+ => ( A1 != bot_bot(fun(A,bool))+ => pp(aa(fun(A,bool),bool,aa(A,fun(fun(A,bool),bool),member(A),big_linorder_Max(A,A1)),A1)) ) ) ) )).++tff(fact_58_x,axiom,(+ ! [X2: atom] :+ ( pp(aa(fun(atom,bool),bool,aa(atom,fun(fun(atom,bool),bool),member(atom),X2),set(atom,as)))+ => i_Z(X2,cons(int,x,xs)) ) )).++tff(fact_59_finite__Diff,axiom,(+ ! [A: $tType,B2: fun(A,bool),A1: fun(A,bool)] :+ ( finite_finite1(A,A1)+ => finite_finite1(A,aa(fun(A,bool),fun(A,bool),aa(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),A1),B2)) ) )).++tff(fact_60_finite__code,axiom,(+ ! [A: $tType] :+ ( finite_finite(A)+ => ! [A1: fun(A,bool)] : finite_finite1(A,A1) ) )).++tff(fact_61_list_Oinject,axiom,(+ ! [A: $tType,List2: list(A),A4: A,List1: list(A),Aa: A] :+ ( cons(A,Aa,List1) = cons(A,A4,List2)+ <=> ( Aa = A4+ & List1 = List2 ) ) )).++tff(fact_62__096EX_Ax_O_AALL_Aa_058set_Aas_O_AI_092_060_094isub_062Z_Aa_A_Ix_A_D_Axs_J_096,axiom,(+ ? [X1: int] :+ ! [Xa1: atom] :+ ( pp(aa(fun(atom,bool),bool,aa(atom,fun(fun(atom,bool),bool),member(atom),Xa1),set(atom,as)))+ => i_Z(Xa1,cons(int,X1,xs)) ) )).++tff(fact_63_double__zero__sym,axiom,(+ ! [A: $tType] :+ ( linord219039673up_add(A)+ => ! [Aa: A] :+ ( zero_zero(A) = aa(A,A,plus_plus(A,Aa),Aa)+ <=> Aa = zero_zero(A) ) ) )).++tff(fact_64_diff__self,axiom,(+ ! [A: $tType] :+ ( group_add(A)+ => ! [A2: A] : aa(A,A,aa(A,fun(A,A),minus_minus(A),A2),A2) = zero_zero(A) ) )).++tff(fact_65_mod__0,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [A2: A] : div_mod(A,zero_zero(A),A2) = zero_zero(A) ) )).++tff(fact_66_mod__self,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [A2: A] : div_mod(A,A2,A2) = zero_zero(A) ) )).++tff(fact_67_map_Osimps_I2_J,axiom,(+ ! [A: $tType,B: $tType,Xsa: list(B),Xa: B,F: fun(B,A)] : map(B,A,F,cons(B,Xa,Xsa)) = cons(A,aa(B,A,F,Xa),map(B,A,F,Xsa)) )).++tff(fact_68_zmod__zero,axiom,(+ ! [B3: int] : div_mod(int,zero_zero(int),B3) = zero_zero(int) )).++tff(fact_69_zmod__self,axiom,(+ ! [A2: int] : div_mod(int,A2,A2) = zero_zero(int) )).++tff(fact_70_filter_Osimps_I2_J,axiom,(+ ! [A: $tType,Xsa: list(A),Xa: A,P1: fun(A,bool)] :+ ( ( pp(aa(A,bool,P1,Xa))+ => filter(A,P1,cons(A,Xa,Xsa)) = cons(A,Xa,filter(A,P1,Xsa)) )+ & ( ~ pp(aa(A,bool,P1,Xa))+ => filter(A,P1,cons(A,Xa,Xsa)) = filter(A,P1,Xsa) ) ) )).++tff(fact_71__096I_092_060_094isub_062Z_Aa_A_Ix_A_D_Axs_J_096,axiom,(+ i_Z(a,cons(int,x,xs)) )).++tff(fact_72__096_B_Bthesis_O_A_I_B_Bx_O_AALL_Aa_058set_Aas_O_AI_092_060_094isub_062Z_Aa_A_Ix_A_D_Axs_J_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom,(+ ~ ! [X1: int] :+ ~ ! [Xa1: atom] :+ ( pp(aa(fun(atom,bool),bool,aa(atom,fun(fun(atom,bool),bool),member(atom),Xa1),set(atom,as)))+ => i_Z(Xa1,cons(int,X1,xs)) ) )).++tff(fact_73_not__Cons__self,axiom,(+ ! [A: $tType,X: A,Xs: list(A)] : Xs != cons(A,X,Xs) )).++tff(fact_74_ext,axiom,(+ ! [B: $tType,A: $tType,G: fun(A,B),F: fun(A,B)] :+ ( ! [X1: A] : aa(A,B,F,X1) = aa(A,B,G,X1)+ => F = G ) )).++tff(fact_75_mem__def,axiom,(+ ! [A: $tType,A1: fun(A,bool),Xa: A] :+ ( pp(aa(fun(A,bool),bool,aa(A,fun(fun(A,bool),bool),member(A),Xa),A1))+ <=> pp(aa(A,bool,A1,Xa)) ) )).++tff(fact_76_Collect__def,axiom,(+ ! [A: $tType,P1: fun(A,bool)] : collect(A,P1) = P1 )).++tff(fact_77_not__Cons__self2,axiom,(+ ! [A: $tType,Xs: list(A),X: A] : cons(A,X,Xs) != Xs )).++tff(fact_78_zero__reorient,axiom,(+ ! [A: $tType] :+ ( zero(A)+ => ! [Xa: A] :+ ( zero_zero(A) = Xa+ <=> Xa = zero_zero(A) ) ) )).++tff(fact_79_finite__Diff2,axiom,(+ ! [A: $tType,A1: fun(A,bool),B2: fun(A,bool)] :+ ( finite_finite1(A,B2)+ => ( finite_finite1(A,aa(fun(A,bool),fun(A,bool),aa(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),A1),B2))+ <=> finite_finite1(A,A1) ) ) )).++tff(fact_80_set__ConsD,axiom,(+ ! [A: $tType,Xsa: list(A),Xa: A,Y2: A] :+ ( pp(aa(fun(A,bool),bool,aa(A,fun(fun(A,bool),bool),member(A),Y2),set(A,cons(A,Xa,Xsa))))+ => ( Y2 = Xa+ | pp(aa(fun(A,bool),bool,aa(A,fun(fun(A,bool),bool),member(A),Y2),set(A,Xsa))) ) ) )).++tff(fact_81_list_Osimps_I3_J,axiom,(+ ! [A: $tType,List: list(A),A3: A] : cons(A,A3,List) != nil(A) )).++tff(fact_82_list_Osimps_I2_J,axiom,(+ ! [A: $tType,List: list(A),A3: A] : nil(A) != cons(A,A3,List) )).++tff(fact_83_add__0__left,axiom,(+ ! [A: $tType] :+ ( monoid_add(A)+ => ! [A2: A] : aa(A,A,plus_plus(A,zero_zero(A)),A2) = A2 ) )).++tff(fact_84_add__0,axiom,(+ ! [A: $tType] :+ ( comm_monoid_add(A)+ => ! [A2: A] : aa(A,A,plus_plus(A,zero_zero(A)),A2) = A2 ) )).++tff(fact_85_add__0__right,axiom,(+ ! [A: $tType] :+ ( monoid_add(A)+ => ! [A2: A] : aa(A,A,plus_plus(A,A2),zero_zero(A)) = A2 ) )).++tff(fact_86_add_Ocomm__neutral,axiom,(+ ! [A: $tType] :+ ( comm_monoid_add(A)+ => ! [A2: A] : aa(A,A,plus_plus(A,A2),zero_zero(A)) = A2 ) )).++tff(fact_87_diff__0__right,axiom,(+ ! [A: $tType] :+ ( group_add(A)+ => ! [A2: A] : aa(A,A,aa(A,fun(A,A),minus_minus(A),A2),zero_zero(A)) = A2 ) )).++tff(fact_88_eq__iff__diff__eq__0,axiom,(+ ! [A: $tType] :+ ( group_add(A)+ => ! [B1: A,Aa: A] :+ ( Aa = B1+ <=> aa(A,A,aa(A,fun(A,A),minus_minus(A),Aa),B1) = zero_zero(A) ) ) )).++tff(fact_89_right__minus__eq,axiom,(+ ! [A: $tType] :+ ( group_add(A)+ => ! [B1: A,Aa: A] :+ ( aa(A,A,aa(A,fun(A,A),minus_minus(A),Aa),B1) = zero_zero(A)+ <=> Aa = B1 ) ) )).++tff(fact_90_mod__by__0,axiom,(+ ! [A: $tType] :+ ( semiring_div(A)+ => ! [A2: A] : div_mod(A,A2,zero_zero(A)) = A2 ) )).++tff(fact_91_finite,axiom,(+ ! [A: $tType] :+ ( finite_finite(A)+ => ! [A1: fun(A,bool)] : finite_finite1(A,A1) ) )).++tff(fact_92_finite__image__set,axiom,(+ ! [B: $tType,A: $tType,F: fun(A,B),P1: fun(A,bool)] :+ ( finite_finite1(A,collect(A,P1))+ => finite_finite1(B,collect(B,aa(fun(B,fun(A,bool)),fun(B,bool),aa(fun(fun(A,bool),bool),fun(fun(B,fun(A,bool)),fun(B,bool)),combb(fun(A,bool),bool,B),fEx(A)),aa(fun(A,bool),fun(B,fun(A,bool)),aa(fun(B,fun(fun(A,bool),fun(A,bool))),fun(fun(A,bool),fun(B,fun(A,bool))),combc(B,fun(A,bool),fun(A,bool)),aa(fun(B,fun(A,fun(bool,bool))),fun(B,fun(fun(A,bool),fun(A,bool))),aa(fun(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool))),fun(fun(B,fun(A,fun(bool,bool))),fun(B,fun(fun(A,bool),fun(A,bool)))),combb(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),B),combs(A,bool,bool)),aa(fun(B,fun(A,bool)),fun(B,fun(A,fun(bool,bool))),aa(fun(fun(A,bool),fun(A,fun(bool,bool))),fun(fun(B,fun(A,bool)),fun(B,fun(A,fun(bool,bool)))),combb(fun(A,bool),fun(A,fun(bool,bool)),B),aa(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fconj)),aa(fun(A,B),fun(B,fun(A,bool)),aa(fun(B,fun(fun(A,B),fun(A,bool))),fun(fun(A,B),fun(B,fun(A,bool))),combc(B,fun(A,B),fun(A,bool)),aa(fun(B,fun(B,bool)),fun(B,fun(fun(A,B),fun(A,bool))),aa(fun(fun(B,bool),fun(fun(A,B),fun(A,bool))),fun(fun(B,fun(B,bool)),fun(B,fun(fun(A,B),fun(A,bool)))),combb(fun(B,bool),fun(fun(A,B),fun(A,bool)),B),combb(B,bool,A)),fequal(B))),F)))),P1)))) ) )).++tff(fact_93_finite__Collect__bounded__ex,axiom,(+ ! [B: $tType,A: $tType,Q1: fun(B,fun(A,bool)),P1: fun(A,bool)] :+ ( finite_finite1(A,collect(A,P1))+ => ( finite_finite1(B,collect(B,aa(fun(B,fun(A,bool)),fun(B,bool),aa(fun(fun(A,bool),bool),fun(fun(B,fun(A,bool)),fun(B,bool)),combb(fun(A,bool),bool,B),fEx(A)),aa(fun(B,fun(A,bool)),fun(B,fun(A,bool)),aa(fun(fun(A,bool),fun(A,bool)),fun(fun(B,fun(A,bool)),fun(B,fun(A,bool))),combb(fun(A,bool),fun(A,bool),B),aa(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),aa(fun(A,bool),fun(A,fun(bool,bool)),aa(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fconj),P1))),Q1))))+ <=> ! [Y1: A] :+ ( pp(aa(A,bool,P1,Y1))+ => finite_finite1(B,collect(B,aa(A,fun(B,bool),aa(fun(B,fun(A,bool)),fun(A,fun(B,bool)),combc(B,A,bool),Q1),Y1))) ) ) ) )).++tff(fact_94_iprod__Nil,axiom,(+ ! [A: $tType] :+ ( ring(A)+ => ! [Ys: list(A)] : aa(list(A),A,aa(list(A),fun(list(A),A),iprod(A),nil(A)),Ys) = zero_zero(A) ) )).++tff(fact_95_iprod__Nil2,axiom,(+ ! [A: $tType] :+ ( ring(A)+ => ! [Xs: list(A)] : aa(list(A),A,aa(list(A),fun(list(A),A),iprod(A),Xs),nil(A)) = zero_zero(A) ) )).++tff(fact_96_zlcms0__iff,axiom,(+ ! [Is: list(int)] :+ ( zlcms(Is) = zero_zero(int)+ <=> pp(aa(fun(int,bool),bool,aa(int,fun(fun(int,bool),bool),member(int),zero_zero(int)),set(int,Is))) ) )).++tff(fact_97_list__add__Cons,axiom,(+ ! [A: $tType] :+ ( ( cl_Groups_Oplus(A)+ & zero(A) )+ => ! [Ys: list(A),Y: A,Xs: list(A),X: A] : aa(list(A),list(A),plus_plus(list(A),cons(A,X,Xs)),cons(A,Y,Ys)) = cons(A,aa(A,A,plus_plus(A,X),Y),aa(list(A),list(A),plus_plus(list(A),Xs),Ys)) ) )).++tff(fact_98_list__diff__Cons__Cons,axiom,(+ ! [A: $tType] :+ ( ( cl_Groups_Ominus(A)+ & zero(A) )+ => ! [Ys: list(A),Y: A,Xs: list(A),X: A] : aa(list(A),list(A),aa(list(A),fun(list(A),list(A)),minus_minus(list(A)),cons(A,X,Xs)),cons(A,Y,Ys)) = cons(A,aa(A,A,aa(A,fun(A,A),minus_minus(A),X),Y),aa(list(A),list(A),aa(list(A),fun(list(A),list(A)),minus_minus(list(A)),Xs),Ys)) ) )).++%----Arities (23)+tff(arity_fun___Finite__Set_Ofinite,axiom,(+ ! [T_1: $tType,T_2: $tType] :+ ( ( finite_finite(T_2)+ & finite_finite(T_1) )+ => finite_finite(fun(T_1,T_2)) ) )).++tff(arity_fun___Groups_Ominus,axiom,(+ ! [T_1: $tType,T_2: $tType] :+ ( cl_Groups_Ominus(T_2)+ => cl_Groups_Ominus(fun(T_1,T_2)) ) )).++tff(arity_Int_Oint___Groups_Olinordered__ab__semigroup__add,axiom,(+ linord2061991079up_add(int) )).++tff(arity_Int_Oint___Groups_Olinordered__ab__group__add,axiom,(+ linord219039673up_add(int) )).++tff(arity_Int_Oint___Groups_Ocancel__ab__semigroup__add,axiom,(+ cancel146912293up_add(int) )).++tff(arity_Int_Oint___Groups_Ocancel__semigroup__add,axiom,(+ cancel_semigroup_add(int) )).++tff(arity_Int_Oint___Groups_Oab__semigroup__add,axiom,(+ ab_semigroup_add(int) )).++tff(arity_Int_Oint___Groups_Ocomm__monoid__add,axiom,(+ comm_monoid_add(int) )).++tff(arity_Int_Oint___Divides_Osemiring__div,axiom,(+ semiring_div(int) )).++tff(arity_Int_Oint___Orderings_Olinorder,axiom,(+ linorder(int) )).++tff(arity_Int_Oint___Groups_Omonoid__add,axiom,(+ monoid_add(int) )).++tff(arity_Int_Oint___Groups_Ogroup__add,axiom,(+ group_add(int) )).++tff(arity_Int_Oint___Divides_Oring__div,axiom,(+ ring_div(int) )).++tff(arity_Int_Oint___Groups_Ominus,axiom,(+ cl_Groups_Ominus(int) )).++tff(arity_Int_Oint___Groups_Ozero,axiom,(+ zero(int) )).++tff(arity_Int_Oint___Groups_Oplus,axiom,(+ cl_Groups_Oplus(int) )).++tff(arity_Int_Oint___Rings_Oring,axiom,(+ ring(int) )).++tff(arity_HOL_Obool___Orderings_Olinorder,axiom,(+ linorder(bool) )).++tff(arity_HOL_Obool___Finite__Set_Ofinite,axiom,(+ finite_finite(bool) )).++tff(arity_HOL_Obool___Groups_Ominus,axiom,(+ cl_Groups_Ominus(bool) )).++tff(arity_List_Olist___Groups_Ominus,axiom,(+ ! [T_1: $tType] :+ ( ( zero(T_1)+ & cl_Groups_Ominus(T_1) )+ => cl_Groups_Ominus(list(T_1)) ) )).++tff(arity_List_Olist___Groups_Oplus,axiom,(+ ! [T_1: $tType] :+ ( ( zero(T_1)+ & cl_Groups_Oplus(T_1) )+ => cl_Groups_Oplus(list(T_1)) ) )).++tff(arity_prod___Finite__Set_Ofinite,axiom,(+ ! [T_1: $tType,T_2: $tType] :+ ( ( finite_finite(T_2)+ & finite_finite(T_1) )+ => finite_finite(product_prod(T_1,T_2)) ) )).++%----Helper facts (20)+tff(help_pp_1_1_U,axiom,(+ ~ pp(fFalse) )).++tff(help_pp_2_1_U,axiom,(+ pp(fTrue) )).++tff(help_fEx_1_1_U,axiom,(+ ! [A: $tType,X: A,P: fun(A,bool)] :+ ( ~ pp(aa(A,bool,P,X))+ | pp(aa(fun(A,bool),bool,fEx(A),P)) ) )).++tff(help_COMBB_1_1_U,axiom,(+ ! [C: $tType,B: $tType,A: $tType,R: A,Q: fun(A,B),P: fun(B,C)] : aa(A,C,aa(fun(A,B),fun(A,C),aa(fun(B,C),fun(fun(A,B),fun(A,C)),combb(B,C,A),P),Q),R) = aa(B,C,P,aa(A,B,Q,R)) )).++tff(help_COMBC_1_1_U,axiom,(+ ! [A: $tType,C: $tType,B: $tType,R: A,Q: B,P: fun(A,fun(B,C))] : aa(A,C,aa(B,fun(A,C),aa(fun(A,fun(B,C)),fun(B,fun(A,C)),combc(A,B,C),P),Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q) )).++tff(help_COMBI_1_1_U,axiom,(+ ! [A: $tType,P: A] : aa(A,A,combi(A),P) = P )).++tff(help_COMBK_1_1_U,axiom,(+ ! [B: $tType,A: $tType,Q: B,P: A] : aa(B,A,combk(A,B,P),Q) = P )).++tff(help_COMBS_1_1_U,axiom,(+ ! [C: $tType,B: $tType,A: $tType,R: A,Q: fun(A,B),P: fun(A,fun(B,C))] : aa(A,C,aa(fun(A,B),fun(A,C),aa(fun(A,fun(B,C)),fun(fun(A,B),fun(A,C)),combs(A,B,C),P),Q),R) = aa(B,C,aa(A,fun(B,C),P,R),aa(A,B,Q,R)) )).++tff(help_fTrue_1_1_U,axiom,(+ pp(fTrue) )).++tff(help_fTrue_1_1_T,axiom,(+ ! [P: bool] :+ ( P = fTrue+ | P = fFalse ) )).++tff(help_fconj_1_1_U,axiom,(+ ! [Q: bool,P: bool] :+ ( ~ pp(P)+ | ~ pp(Q)+ | pp(aa(bool,bool,aa(bool,fun(bool,bool),fconj,P),Q)) ) )).++tff(help_fconj_2_1_U,axiom,(+ ! [Q: bool,P: bool] :+ ( ~ pp(aa(bool,bool,aa(bool,fun(bool,bool),fconj,P),Q))+ | pp(P) ) )).++tff(help_fconj_3_1_U,axiom,(+ ! [Q: bool,P: bool] :+ ( ~ pp(aa(bool,bool,aa(bool,fun(bool,bool),fconj,P),Q))+ | pp(Q) ) )).++tff(help_fdisj_1_1_U,axiom,(+ ! [Q: bool,P: bool] :+ ( ~ pp(P)+ | pp(aa(bool,bool,aa(bool,fun(bool,bool),fdisj,P),Q)) ) )).++tff(help_fdisj_2_1_U,axiom,(+ ! [P: bool,Q: bool] :+ ( ~ pp(Q)+ | pp(aa(bool,bool,aa(bool,fun(bool,bool),fdisj,P),Q)) ) )).++tff(help_fdisj_3_1_U,axiom,(+ ! [Q: bool,P: bool] :+ ( ~ pp(aa(bool,bool,aa(bool,fun(bool,bool),fdisj,P),Q))+ | pp(P)+ | pp(Q) ) )).++tff(help_fFalse_1_1_U,axiom,(+ ~ pp(fFalse) )).++tff(help_fFalse_1_1_T,axiom,(+ ! [P: bool] :+ ( P = fTrue+ | P = fFalse ) )).++tff(help_fequal_1_1_T,axiom,(+ ! [A: $tType,Y: A,X: A] :+ ( ~ pp(aa(A,bool,aa(A,fun(A,bool),fequal(A),X),Y))+ | X = Y ) )).++tff(help_fequal_2_1_T,axiom,(+ ! [A: $tType,Y: A,X: A] :+ ( X != Y+ | pp(aa(A,bool,aa(A,fun(A,bool),fequal(A),X),Y)) ) )).++%----Conjectures (1)+tff(conj_0,conjecture,(+ div_mod(int,aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,plus_plus(int,li),div_mod(int,aa(int,int,aa(int,fun(int,int),minus_minus(int),x),big_linorder_Max(int,collect(int,aa(fun(int,fun(list(int),bool)),fun(int,bool),aa(fun(fun(list(int),bool),bool),fun(fun(int,fun(list(int),bool)),fun(int,bool)),combb(fun(list(int),bool),bool,int),fEx(list(int))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool)),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool))),combb(fun(list(int),fun(int,bool)),fun(list(int),bool),int),aa(fun(fun(int,bool),bool),fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),combb(fun(int,bool),bool,list(int)),fEx(int))),aa(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),aa(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),aa(fun(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))))),combb(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),int),combs(list(int),fun(int,bool),fun(int,bool))),aa(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),aa(fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool))))),combb(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool))),int),aa(fun(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),combb(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),list(int)),combs(int,bool,bool))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool)))),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool))))),combb(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool))),int),aa(fun(fun(int,bool),fun(int,fun(bool,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),combb(fun(int,bool),fun(int,fun(bool,bool)),list(int)),aa(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj))),aa(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),aa(fun(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))))),combb(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),int),combb(fun(int,int),fun(int,bool),list(int))),aa(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool))),aa(fun(fun(int,bool),fun(fun(int,int),fun(int,bool))),fun(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool)))),combb(fun(int,bool),fun(fun(int,int),fun(int,bool)),int),combb(int,bool,int)),fequal(int)))),aa(fun(list(int),int),fun(list(int),fun(int,int)),aa(fun(int,fun(int,int)),fun(fun(list(int),int),fun(list(int),fun(int,int))),combb(int,fun(int,int),list(int)),aa(fun(int,fun(int,int)),fun(int,fun(int,int)),combc(int,int,int),minus_minus(int))),aa(list(int),fun(list(int),int),aa(fun(list(int),fun(list(int),int)),fun(list(int),fun(list(int),int)),combc(list(int),list(int),int),iprod(int)),xs))))))),aa(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool)),aa(fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool))),combc(list(int),fun(product_prod(int,list(int)),bool),fun(int,bool)),aa(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),aa(fun(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)))),combb(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)),list(int)),combc(int,fun(product_prod(int,list(int)),bool),bool)),aa(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),aa(fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)))),combb(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),list(int)),aa(fun(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),combb(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool),int),member(product_prod(int,list(int))))),aa(fun(int,fun(list(int),product_prod(int,list(int)))),fun(list(int),fun(int,product_prod(int,list(int)))),combc(int,list(int),product_prod(int,list(int))),product_Pair(int,list(int)))))),set(product_prod(int,list(int)),lbounds(as))))))))),zlcms(map(atom,int,divisor,filter(atom,atom_case(bool,combk(fun(list(int),bool),int,combk(bool,list(int),fFalse)),combk(fun(int,fun(list(int),bool)),int,combk(fun(list(int),bool),int,combk(bool,list(int),fTrue))),combk(fun(int,fun(list(int),bool)),int,combk(fun(list(int),bool),int,combk(bool,list(int),fTrue)))),as)))))),aa(list(int),int,aa(list(int),fun(list(int),int),iprod(int),lks),xs)),aa(atom,int,divisor,a)) = div_mod(int,aa(int,int,plus_plus(int,big_linorder_Max(int,collect(int,aa(fun(int,fun(list(int),bool)),fun(int,bool),aa(fun(fun(list(int),bool),bool),fun(fun(int,fun(list(int),bool)),fun(int,bool)),combb(fun(list(int),bool),bool,int),fEx(list(int))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool)),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool))),combb(fun(list(int),fun(int,bool)),fun(list(int),bool),int),aa(fun(fun(int,bool),bool),fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),combb(fun(int,bool),bool,list(int)),fEx(int))),aa(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),aa(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),aa(fun(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))))),combb(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),int),combs(list(int),fun(int,bool),fun(int,bool))),aa(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),aa(fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool))))),combb(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool))),int),aa(fun(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),combb(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),list(int)),combs(int,bool,bool))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool)))),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool))))),combb(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool))),int),aa(fun(fun(int,bool),fun(int,fun(bool,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),combb(fun(int,bool),fun(int,fun(bool,bool)),list(int)),aa(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj))),aa(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),aa(fun(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))))),combb(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),int),combb(fun(int,int),fun(int,bool),list(int))),aa(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool))),aa(fun(fun(int,bool),fun(fun(int,int),fun(int,bool))),fun(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool)))),combb(fun(int,bool),fun(fun(int,int),fun(int,bool)),int),combb(int,bool,int)),fequal(int)))),aa(fun(list(int),int),fun(list(int),fun(int,int)),aa(fun(int,fun(int,int)),fun(fun(list(int),int),fun(list(int),fun(int,int))),combb(int,fun(int,int),list(int)),aa(fun(int,fun(int,int)),fun(int,fun(int,int)),combc(int,int,int),minus_minus(int))),aa(list(int),fun(list(int),int),aa(fun(list(int),fun(list(int),int)),fun(list(int),fun(list(int),int)),combc(list(int),list(int),int),iprod(int)),xs))))))),aa(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool)),aa(fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool))),combc(list(int),fun(product_prod(int,list(int)),bool),fun(int,bool)),aa(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),aa(fun(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)))),combb(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)),list(int)),combc(int,fun(product_prod(int,list(int)),bool),bool)),aa(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),aa(fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)))),combb(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),list(int)),aa(fun(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),combb(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool),int),member(product_prod(int,list(int))))),aa(fun(int,fun(list(int),product_prod(int,list(int)))),fun(list(int),fun(int,product_prod(int,list(int)))),combc(int,list(int),product_prod(int,list(int))),product_Pair(int,list(int)))))),set(product_prod(int,list(int)),lbounds(as))))))))),div_mod(int,aa(int,int,aa(int,fun(int,int),minus_minus(int),x),big_linorder_Max(int,collect(int,aa(fun(int,fun(list(int),bool)),fun(int,bool),aa(fun(fun(list(int),bool),bool),fun(fun(int,fun(list(int),bool)),fun(int,bool)),combb(fun(list(int),bool),bool,int),fEx(list(int))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool)),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),bool))),combb(fun(list(int),fun(int,bool)),fun(list(int),bool),int),aa(fun(fun(int,bool),bool),fun(fun(list(int),fun(int,bool)),fun(list(int),bool)),combb(fun(int,bool),bool,list(int)),fEx(int))),aa(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,bool)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),aa(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),aa(fun(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(int,fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))))),combb(fun(list(int),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,bool))),int),combs(list(int),fun(int,bool),fun(int,bool))),aa(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool)))),aa(fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),fun(fun(int,fun(list(int),fun(int,fun(bool,bool)))),fun(int,fun(list(int),fun(fun(int,bool),fun(int,bool))))),combb(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool))),int),aa(fun(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(bool,bool))),fun(list(int),fun(fun(int,bool),fun(int,bool)))),combb(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),list(int)),combs(int,bool,bool))),aa(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool)))),aa(fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),fun(fun(int,fun(list(int),fun(int,bool))),fun(int,fun(list(int),fun(int,fun(bool,bool))))),combb(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool))),int),aa(fun(fun(int,bool),fun(int,fun(bool,bool))),fun(fun(list(int),fun(int,bool)),fun(list(int),fun(int,fun(bool,bool)))),combb(fun(int,bool),fun(int,fun(bool,bool)),list(int)),aa(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj))),aa(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(list(int),fun(int,int)),fun(int,fun(list(int),fun(int,bool)))),combc(int,fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),aa(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),aa(fun(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool)))),fun(fun(int,fun(fun(int,int),fun(int,bool))),fun(int,fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))))),combb(fun(fun(int,int),fun(int,bool)),fun(fun(list(int),fun(int,int)),fun(list(int),fun(int,bool))),int),combb(fun(int,int),fun(int,bool),list(int))),aa(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool))),aa(fun(fun(int,bool),fun(fun(int,int),fun(int,bool))),fun(fun(int,fun(int,bool)),fun(int,fun(fun(int,int),fun(int,bool)))),combb(fun(int,bool),fun(fun(int,int),fun(int,bool)),int),combb(int,bool,int)),fequal(int)))),aa(fun(list(int),int),fun(list(int),fun(int,int)),aa(fun(int,fun(int,int)),fun(fun(list(int),int),fun(list(int),fun(int,int))),combb(int,fun(int,int),list(int)),aa(fun(int,fun(int,int)),fun(int,fun(int,int)),combc(int,int,int),minus_minus(int))),aa(list(int),fun(list(int),int),aa(fun(list(int),fun(list(int),int)),fun(list(int),fun(list(int),int)),combc(list(int),list(int),int),iprod(int)),xs))))))),aa(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool)),aa(fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(product_prod(int,list(int)),bool),fun(list(int),fun(int,bool))),combc(list(int),fun(product_prod(int,list(int)),bool),fun(int,bool)),aa(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),aa(fun(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool))),fun(fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(list(int),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)))),combb(fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(product_prod(int,list(int)),bool),fun(int,bool)),list(int)),combc(int,fun(product_prod(int,list(int)),bool),bool)),aa(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),aa(fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),fun(fun(list(int),fun(int,product_prod(int,list(int)))),fun(list(int),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)))),combb(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool)),list(int)),aa(fun(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool)),fun(fun(int,product_prod(int,list(int))),fun(int,fun(fun(product_prod(int,list(int)),bool),bool))),combb(product_prod(int,list(int)),fun(fun(product_prod(int,list(int)),bool),bool),int),member(product_prod(int,list(int))))),aa(fun(int,fun(list(int),product_prod(int,list(int)))),fun(list(int),fun(int,product_prod(int,list(int)))),combc(int,list(int),product_prod(int,list(int))),product_Pair(int,list(int)))))),set(product_prod(int,list(int)),lbounds(as))))))))),zlcms(map(atom,int,divisor,filter(atom,atom_case(bool,combk(fun(list(int),bool),int,combk(bool,list(int),fFalse)),combk(fun(int,fun(list(int),bool)),int,combk(fun(list(int),bool),int,combk(bool,list(int),fTrue))),combk(fun(int,fun(list(int),bool)),int,combk(fun(list(int),bool),int,combk(bool,list(int),fTrue)))),as))))),aa(atom,int,divisor,a)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/DAT001=0.ax view
@@ -0,0 +1,48 @@+%------------------------------------------------------------------------------+% File : DAT001=0 : TPTP v7.2.0. Released v5.0.0.+% Domain : Data Structures+% Axioms : Integer arrays+% Version : [Wal10] axioms.+% English : ++% Refs : [PW06] Prevosto & Waldmann (2006), SPASS+T+% : [Wal10] Waldmann (2010), Email to Geoff Sutcliffe+% Source : [Wal10]+% Names : ++% Status : Satisfiable+% Syntax : Number of formulae : 5 ( 1 unit; 3 type)+% Number of atoms : 3 ( 3 equality)+% Maximal formula depth : 6 ( 4 average)+% Number of connectives : 1 ( 0 ~; 1 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)+% Number of predicates : 6 ( 5 propositional; 0-2 arity)+% Number of functors : 2 ( 0 constant; 2-3 arity)+% Number of variables : 7 ( 0 sgn; 7 !; 0 ?)+% ( 7 :; 0 !>; 0 ?*)+% Maximal term depth : 3 ( 2 average)+% Arithmetic symbols : 5 ( 0 prd; 0 fun; 0 num; 5 var)+% SPC : TFF_SAT_RFO_SEQ_SAR++% Comments : +%------------------------------------------------------------------------------+tff(array_type,type,(+ array: $tType )).++tff(read_type,type,(+ read: ( array * $int ) > $int )).++tff(write_type,type,(+ write: ( array * $int * $int ) > array )).++tff(ax1,axiom,(+ ! [U: array,V: $int,W: $int] : read(write(U,V,W),V) = W )).++tff(ax2,axiom,(+ ! [X: array,Y: $int,Z: $int,X1: $int] :+ ( Y = Z+ | read(write(X,Y,X1),Z) = read(X,Z) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/DAT002=0.ax view
@@ -0,0 +1,67 @@+%------------------------------------------------------------------------------+% File : DAT002=0 : TPTP v7.2.0. Released v5.0.0.+% Domain : Data Structures+% Axioms : Integer collections+% Version : [Wal10] axioms.+% English : ++% Refs : [PW06] Prevosto & Waldmann (2006), SPASS+T+% : [Wal10] Waldmann (2010), Email to Geoff Sutcliffe+% Source : [Wal10]+% Names : ++% Status : Satisfiable+% Syntax : Number of formulae : 10 ( 3 unit; 5 type)+% Number of atoms : 9 ( 2 equality)+% Maximal formula depth : 7 ( 4 average)+% Number of connectives : 7 ( 3 ~; 1 |; 1 &)+% ( 2 <=>; 0 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)+% Number of predicates : 10 ( 8 propositional; 0-2 arity)+% Number of functors : 3 ( 1 constant; 0-2 arity)+% Number of variables : 11 ( 0 sgn; 11 !; 0 ?)+% ( 11 :; 0 !>; 0 ?*)+% Maximal term depth : 2 ( 1 average)+% Arithmetic symbols : 7 ( 0 prd; 0 fun; 0 num; 7 var)+% SPC : TFF_SAT_RFO_SEQ_SAR++% Comments : +%------------------------------------------------------------------------------+tff(collection_type,type,(+ collection: $tType )).++tff(empty_type,type,(+ empty: collection )).++tff(add_type,type,(+ add: ( $int * collection ) > collection )).++tff(remove_type,type,(+ remove: ( $int * collection ) > collection )).++tff(in_type,type,(+ in: ( $int * collection ) > $o )).++tff(ax1,axiom,(+ ! [U: $int] : ~ in(U,empty) )).++tff(ax2,axiom,(+ ! [V: $int,W: collection] : in(V,add(V,W)) )).++tff(ax3,axiom,(+ ! [X: $int,Y: collection] : ~ in(X,remove(X,Y)) )).++tff(ax4,axiom,(+ ! [Z: $int,X1: collection,X2: $int] :+ ( ( in(Z,X1)+ | Z = X2 )+ <=> in(Z,add(X2,X1)) ) )).++tff(ax5,axiom,(+ ! [X3: $int,X4: collection,X5: $int] :+ ( ( in(X3,X4)+ & X3 != X5 )+ <=> in(X3,remove(X5,X4)) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/DAT002=1.ax view
@@ -0,0 +1,67 @@+%------------------------------------------------------------------------------+% File : DAT002=1 : TPTP v7.2.0. Released v5.0.0.+% Domain : Data Structures+% Axioms : Integer collections with counting+% Version : [Wal10] axioms.+% English : ++% Refs : [PW06] Prevosto & Waldmann (2006), SPASS+T+% : [Wal10] Waldmann (2010), Email to Geoff Sutcliffe+% Source : [Wal10]+% Names : ++% Status : Satisfiable+% Syntax : Number of formulae : 8 ( 1 unit; 1 type)+% Number of atoms : 13 ( 7 equality)+% Maximal formula depth : 5 ( 4 average)+% Number of connectives : 8 ( 2 ~; 0 |; 0 &)+% ( 5 <=>; 1 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)+% Number of predicates : 6 ( 3 propositional; 0-2 arity)+% Number of functors : 8 ( 3 constant; 0-2 arity)+% Number of variables : 12 ( 0 sgn; 12 !; 0 ?)+% ( 12 :; 0 !>; 0 ?*)+% Maximal term depth : 3 ( 2 average)+% Arithmetic symbols : 10 ( 1 prd; 2 fun; 2 num; 5 var)+% SPC : TFF_SAT_RFO_SEQ_SAR++% Comments : Requires DAT002=0+%------------------------------------------------------------------------------+tff(count_type,type,(+ count: collection > $int )).++tff(ax1,axiom,(+ ! [X6: collection] : $greatereq(count(X6),0) )).++tff(ax2,axiom,(+ ! [X7: collection] :+ ( X7 = empty+ <=> count(X7) = 0 ) )).++tff(ax3,axiom,(+ ! [X8: $int,X9: collection] :+ ( ~ in(X8,X9)+ <=> count(add(X8,X9)) = $sum(count(X9),1) ) )).++tff(ax4,axiom,(+ ! [X10: $int,X11: collection] :+ ( in(X10,X11)+ <=> count(add(X10,X11)) = count(X11) ) )).++tff(ax5,axiom,(+ ! [X12: $int,X13: collection] :+ ( in(X12,X13)+ <=> count(remove(X12,X13)) = $difference(count(X13),1) ) )).++tff(ax6,axiom,(+ ! [X14: $int,X15: collection] :+ ( ~ in(X14,X15)+ <=> count(remove(X14,X15)) = count(X15) ) )).++tff(ax7,axiom,(+ ! [X16: $int,X17: collection] :+ ( in(X16,X17)+ => X17 = add(X16,remove(X16,X17)) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/DAT003=0.ax view
@@ -0,0 +1,122 @@+%------------------------------------------------------------------------------+% File : DAT003=0 : TPTP v7.2.0. Released v5.0.0.+% Domain : Data Structures+% Axioms : Pointer data types+% Version : [Wal10] axioms.+% English : ++% Refs : [PW06] Prevosto & Waldmann (2006), SPASS+T+% : [Wal10] Waldmann (2010), Email to Geoff Sutcliffe+% Source : [Wal10]+% Names : ++% Status : Satisfiable+% Syntax : Number of formulae : 20 ( 0 unit; 7 type)+% Number of atoms : 31 ( 6 equality)+% Maximal formula depth : 5 ( 3 average)+% Number of connectives : 27 ( 9 ~; 0 |; 5 &)+% ( 0 <=>; 13 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)+% Number of predicates : 13 ( 10 propositional; 0-2 arity)+% Number of functors : 8 ( 2 constant; 0-2 arity)+% Number of variables : 13 ( 0 sgn; 13 !; 0 ?)+% ( 13 :; 0 !>; 0 ?*)+% Maximal term depth : 4 ( 2 average)+% Arithmetic symbols : 4 ( 1 prd; 1 fun; 2 num; 0 var)+% SPC : TFF_SAT_RFO_SEQ_SAR++% Comments : +%------------------------------------------------------------------------------+tff(record_type,type,(+ record: $tType )).++tff(length_type,type,(+ length: record > $int )).++tff(next_type,type,(+ next: record > record )).++tff(data_type,type,(+ data: record > $int )).++tff(split1_type,type,(+ split1: record > record )).++tff(split2_type,type,(+ split2: record > record )).++tff(isrecord_type,type,(+ isrecord: record > $o )).++tff(ax1,axiom,(+ ! [U: record] :+ ( ~ isrecord(U)+ => length(U) = 0 ) )).++tff(ax2,axiom,(+ ! [U: record] :+ ( isrecord(U)+ => $greatereq(length(U),1) ) )).++tff(ax3,axiom,(+ ! [U: record] :+ ( isrecord(U)+ => length(U) = $sum(length(next(U)),1) ) )).++tff(ax4,axiom,(+ ! [U: record] :+ ( ~ isrecord(U)+ => ~ isrecord(split1(U)) ) )).++tff(ax5,axiom,(+ ! [U: record] :+ ( isrecord(U)+ => isrecord(split1(U)) ) )).++tff(ax6,axiom,(+ ! [U: record] :+ ( isrecord(U)+ => data(split1(U)) = data(U) ) )).++tff(ax7,axiom,(+ ! [U: record] :+ ( ( isrecord(U)+ & ~ isrecord(next(U)) )+ => ~ isrecord(next(split1(U))) ) )).++tff(ax8,axiom,(+ ! [U: record] :+ ( ( isrecord(U)+ & isrecord(next(U)) )+ => next(split1(U)) = split1(next(next(U))) ) )).++tff(ax9,axiom,(+ ! [U: record] :+ ( ~ isrecord(U)+ => ~ isrecord(split2(U)) ) )).++tff(ax10,axiom,(+ ! [U: record] :+ ( ~ isrecord(next(U))+ => ~ isrecord(split2(U)) ) )).++tff(ax11,axiom,(+ ! [U: record] :+ ( ( isrecord(U)+ & isrecord(next(U)) )+ => isrecord(split2(U)) ) )).++tff(ax12,axiom,(+ ! [U: record] :+ ( ( isrecord(U)+ & isrecord(next(U)) )+ => data(split2(U)) = data(next(U)) ) )).++tff(ax13,axiom,(+ ! [U: record] :+ ( ( isrecord(U)+ & isrecord(next(U)) )+ => next(split2(U)) = split2(next(next(U))) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/DAT004=0.ax view
@@ -0,0 +1,68 @@+%------------------------------------------------------------------------------+% File : DAT004=0 : TPTP v7.2.0. Released v5.5.0.+% Domain : Data Structures+% Axioms : Array data types+% Version : [KIV] axioms.+% English :++% Refs : [Rei99] Reif (1999), Email to Geoff Sutcliffe+% Source : [Rei99]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 11 ( 3 unit; 6 type)+% Number of atoms : 7 ( 7 equality)+% Maximal formula depth : 7 ( 4 average)+% Number of connectives : 3 ( 1 ~; 0 |; 0 &)+% ( 1 <=>; 1 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)+% Number of predicates : 9 ( 8 propositional; 0-2 arity)+% Number of functors : 4 ( 2 constant; 0-3 arity)+% Number of variables : 15 ( 0 sgn; 15 !; 0 ?)+% ( 15 :; 0 !>; 0 ?*)+% Maximal term depth : 3 ( 2 average)+% Arithmetic symbols : 6 ( 0 prd; 0 fun; 0 num; 6 var)+% SPC : TFF_SAT_EQU_ARI++% Comments : From: /home/magenta/KIV/newtppl/case-studies/hashtable/+% specifications/array/+%------------------------------------------------------------------------------+tff(data_type,type,(+ data: $tType )).++tff(array_type,type,(+ array: $tType )).++tff(mkarray_type,type,(+ mkarray: array )).++tff(none_type,type,(+ none: data )).++tff(put_type,type,(+ put: ( array * $int * data ) > array )).++tff(get_type,type,(+ get: ( array * $int ) > data )).++tff(ax_17,axiom,(+ ! [M: $int] : get(mkarray,M) = none )).++tff(ax_18,axiom,(+ ! [Ar: array,M: $int,D: data] : get(put(Ar,M,D),M) = D )).++tff(ax_19,axiom,(+ ! [N: $int,D: data,Ar: array,M: $int] :+ ( M != N+ => get(put(Ar,N,D),M) = get(Ar,M) ) )).++tff(ax_20,axiom,(+ ! [D2: data,Ar: array,M: $int,D1: data] : put(put(Ar,M,D2),M,D1) = put(Ar,M,D1) )).++tff(ax_21,axiom,(+ ! [Ar: array,Ar0: array] :+ ( Ar = Ar0+ <=> ! [N: $int] : get(Ar,N) = get(Ar0,N) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/DAT005=0.ax view
@@ -0,0 +1,95 @@+%------------------------------------------------------------------------------+% File : DAT005=0 : TPTP v7.2.0. Released v5.5.0.+% Domain : Data Structures+% Axioms : Heap data types+% Version : [KIV] axioms.+% English :++% Refs : [Rei99] Reif (1999), Email to Geoff Sutcliffe+% Source : [Rei99]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 18 ( 7 unit; 7 type)+% Number of atoms : 18 ( 11 equality)+% Maximal formula depth : 7 ( 4 average)+% Number of connectives : 10 ( 3 ~; 2 |; 2 &)+% ( 2 <=>; 1 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 7 ( 5 >; 2 *; 0 +; 0 <<)+% Number of predicates : 12 ( 10 propositional; 0-2 arity)+% Number of functors : 8 ( 3 constant; 0-2 arity)+% Number of variables : 21 ( 0 sgn; 21 !; 0 ?)+% ( 21 :; 0 !>; 0 ?*)+% Maximal term depth : 3 ( 1 average)+% Arithmetic symbols : 10 ( 0 prd; 1 fun; 2 num; 7 var)+% SPC : TFF_SAT_EQU_ARI++% Comments : +%------------------------------------------------------------------------------+tff(heap_type,type,(+ heap: $tType )).++tff(empty_type,type,(+ empty: heap )).++tff(get_type,type,(+ get: heap > heap )).++tff(app_type,type,(+ app: ( heap * $int ) > heap )).++tff(toop_type,type,(+ toop: heap > $int )).++tff(length_type,type,(+ length: heap > $int )).++tff(lsls_type,type,(+ lsls: ( heap * heap ) > $o )).++tff(ax_17,axiom,(+ ! [N: $int,H: heap] : get(app(H,N)) = H )).++tff(ax_18,axiom,(+ ! [H: heap,N: $int] : toop(app(H,N)) = N )).++tff(ax_19,axiom,(+ ! [H: heap,H0: heap,N: $int,N0: $int] :+ ( app(H,N) = app(H0,N0)+ <=> ( H = H0+ & N = N0 ) ) )).++tff(ax_20,axiom,(+ ! [H: heap,N: $int] : empty != app(H,N) )).++tff(ax_21,axiom,(+ ! [H: heap] :+ ( H = empty+ | H = app(get(H),toop(H)) ) )).++tff(ax_22,axiom,(+ length(empty) = 0 )).++tff(ax_23,axiom,(+ ! [N: $int,H: heap] : length(app(H,N)) = $sum(1,length(H)) )).++tff(ax_24,axiom,(+ ! [H: heap] : ~ lsls(H,H) )).++tff(ax_25,axiom,(+ ! [H0: heap,H: heap,H1: heap] :+ ( ( lsls(H,H0)+ & lsls(H0,H1) )+ => lsls(H,H1) ) )).++tff(ax_26,axiom,(+ ! [H: heap] : ~ lsls(H,empty) )).++tff(ax_27,axiom,(+ ! [N: $int,H0: heap,H: heap] :+ ( lsls(H0,app(H,N))+ <=> ( H0 = H+ | lsls(H0,H) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/DAT006=0.ax view
@@ -0,0 +1,112 @@+%------------------------------------------------------------------------------+% File : DAT006=0 : TPTP v7.2.0. Released v5.5.0.+% Domain : Data Structures+% Axioms : Tree-heap data types+% Version : [KIV] axioms.+% English :++% Refs : [Rei99] Reif (1999), Email to Geoff Sutcliffe+% Source : [Rei99]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 22 ( 8 unit; 8 type)+% Number of atoms : 23 ( 16 equality)+% Maximal formula depth : 7 ( 4 average)+% Number of connectives : 13 ( 4 ~; 2 |; 2 &)+% ( 2 <=>; 3 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)+% Number of predicates : 13 ( 11 propositional; 0-2 arity)+% Number of functors : 9 ( 3 constant; 0-2 arity)+% Number of variables : 28 ( 0 sgn; 28 !; 0 ?)+% ( 28 :; 0 !>; 0 ?*)+% Maximal term depth : 3 ( 2 average)+% Arithmetic symbols : 15 ( 0 prd; 1 fun; 2 num; 12 var)+% SPC : TFF_SAT_EQU_ARI++% Comments : From: /home/magenta/KIV/newtppl/case-studies/tree-heap/+% specifications/sel/+%------------------------------------------------------------------------------+tff(heap_type,type,(+ heap: $tType )).++tff(empty_type,type,(+ empty: heap )).++tff(toop_type,type,(+ toop: heap > $int )).++tff(sel_type,type,(+ sel: ( heap * $int ) > $int )).++tff(length_type,type,(+ length: heap > $int )).++tff(app_type,type,(+ app: ( heap * $int ) > heap )).++tff(get_type,type,(+ get: heap > heap )).++tff(lsls_type,type,(+ lsls: ( heap * heap ) > $o )).++tff(ax_1,axiom,(+ ! [M: $int] : sel(empty,M) = 0 )).++tff(ax_2,axiom,(+ ! [H: heap,M: $int,N: $int] :+ ( M = $sum(1,length(H))+ => sel(app(H,N),M) = N ) )).++tff(ax_3,axiom,(+ ! [N: $int,H: heap,M: $int] :+ ( M != $sum(1,length(H))+ => sel(app(H,N),M) = sel(H,M) ) )).++tff(ax_20,axiom,(+ ! [N: $int,H: heap] : get(app(H,N)) = H )).++tff(ax_21,axiom,(+ ! [H: heap,N: $int] : toop(app(H,N)) = N )).++tff(ax_22,axiom,(+ ! [H: heap,H0: heap,N: $int,N0: $int] :+ ( app(H,N) = app(H0,N0)+ <=> ( H = H0+ & N = N0 ) ) )).++tff(ax_23,axiom,(+ ! [H: heap,N: $int] : empty != app(H,N) )).++tff(ax_24,axiom,(+ ! [H: heap] :+ ( H = empty+ | H = app(get(H),toop(H)) ) )).++tff(ax_25,axiom,(+ length(empty) = 0 )).++tff(ax_26,axiom,(+ ! [N: $int,H: heap] : length(app(H,N)) = $sum(1,length(H)) )).++tff(ax_27,axiom,(+ ! [H: heap] : ~ lsls(H,H) )).++tff(ax_28,axiom,(+ ! [H0: heap,H: heap,H1: heap] :+ ( ( lsls(H,H0)+ & lsls(H0,H1) )+ => lsls(H,H1) ) )).++tff(ax_29,axiom,(+ ! [H: heap] : ~ lsls(H,empty) )).++tff(ax_30,axiom,(+ ! [N: $int,H0: heap,H: heap] :+ ( lsls(H0,app(H,N))+ <=> ( H0 = H+ | lsls(H0,H) ) ) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/LCL842_5.p view
@@ -0,0 +1,681 @@+%------------------------------------------------------------------------------+% File : LCL842_5 : TPTP v7.2.0. Released v6.0.0.+% Domain : Logic Calculi+% Problem : Strong normalization of typed lambda calculus line 250+% Version : Especial.+% English : ++% Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day+% : [Bla13] Blanchette (2011), Email to Geoff Sutcliffe+% Source : [Bla13]+% Names : sn_250 [Bla13]++% Status : Unknown+% Rating : 1.00 v6.4.0+% Syntax : Number of formulae : 145 ( 48 unit; 42 type)+% Number of atoms : 209 ( 113 equality)+% Maximal formula depth : 14 ( 5 average)+% Number of connectives : 155 ( 49 ~; 4 |; 18 &)+% ( 18 <=>; 66 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 57 ( 27 >; 30 *; 0 +; 0 <<)+% Number of predicates : 56 ( 47 propositional; 0-4 arity)+% Number of functors : 36 ( 12 constant; 0-5 arity)+% Number of variables : 372 ( 3 sgn; 342 !; 11 ?)+% ( 372 :; 19 !>; 0 ?*)+% Maximal term depth : 6 ( 2 average)+% SPC : TF1_UNK_EQU_NAR++% Comments : This file was generated by Isabelle (most likely Sledgehammer)+% 2011-12-13 16:25:47+%------------------------------------------------------------------------------+%----Should-be-implicit typings (6)+tff(ty_tc_HOL_Obool,type,(+ bool: $tType )).++tff(ty_tc_Lambda_OdB,type,(+ dB: $tType )).++tff(ty_tc_List_Olist,type,(+ list: $tType > $tType )).++tff(ty_tc_Nat_Onat,type,(+ nat: $tType )).++tff(ty_tc_Type_Otype,type,(+ type: $tType )).++tff(ty_tc_fun,type,(+ fun: ( $tType * $tType ) > $tType )).++%----Explicit typings (36)+tff(sy_cl_Groups_Ozero,type,(+ zero: + !>[A1: $tType] : $o )).++tff(sy_c_Groups_Ozero__class_Ozero,type,(+ zero_zero: + !>[A1: $tType] : A1 )).++tff(sy_c_InductTermi_OIT,type,(+ it: fun(dB,bool) )).++tff(sy_c_Lambda_Obeta,type,(+ beta: fun(dB,fun(dB,bool)) )).++tff(sy_c_Lambda_OdB_OAbs,type,(+ abs: dB > dB )).++tff(sy_c_Lambda_OdB_OApp,type,(+ app: fun(dB,fun(dB,dB)) )).++tff(sy_c_Lambda_OdB_OVar,type,(+ var: nat > dB )).++tff(sy_c_Lambda_OdB_OdB__case,type,(+ dB_case: + !>[T4: $tType] :+ ( ( fun(nat,T4) * fun(dB,fun(dB,T4)) * fun(dB,T4) * dB ) > T4 ) )).++tff(sy_c_Lambda_OdB_OdB__size,type,(+ dB_size: dB > nat )).++tff(sy_c_Lambda_Olift,type,(+ lift: ( dB * nat ) > dB )).++tff(sy_c_Lambda_Oliftn,type,(+ liftn: ( nat * dB * nat ) > dB )).++tff(sy_c_Lambda_Osubst,type,(+ subst: ( dB * dB * nat ) > dB )).++tff(sy_c_Lambda_Osubstn,type,(+ substn: ( dB * dB * nat ) > dB )).++tff(sy_c_ListOrder_Ostep1,type,(+ step1: + !>[A1: $tType] :+ ( ( fun(A1,fun(A1,bool)) * list(A1) * list(A1) ) > $o ) )).++tff(sy_c_List_Ofoldl,type,(+ foldl: + !>[B: $tType,A1: $tType] :+ ( ( fun(B,fun(A1,B)) * B * list(A1) ) > B ) )).++tff(sy_c_List_Oinsert,type,(+ insert: + !>[A1: $tType] :+ ( ( A1 * list(A1) ) > list(A1) ) )).++tff(sy_c_List_Olist_OCons,type,(+ cons: + !>[A1: $tType] :+ ( ( A1 * list(A1) ) > list(A1) ) )).++tff(sy_c_List_Olist_ONil,type,(+ nil: + !>[A1: $tType] : list(A1) )).++tff(sy_c_List_Olist_Olist__case,type,(+ list_case: + !>[T4: $tType,A1: $tType] :+ ( ( T4 * fun(A1,fun(list(A1),T4)) * list(A1) ) > T4 ) )).++tff(sy_c_List_Olistsp,type,(+ listsp: + !>[A1: $tType] :+ ( ( fun(A1,bool) * list(A1) ) > $o ) )).++tff(sy_c_List_Osublist,type,(+ sublist: + !>[A1: $tType] :+ ( ( list(A1) * fun(nat,bool) ) > list(A1) ) )).++tff(sy_c_Nat_Osize__class_Osize,type,(+ size_size: + !>[A1: $tType] :+ ( A1 > nat ) )).++tff(sy_c_Type_Oshift,type,(+ shift: + !>[A1: $tType] :+ ( ( fun(nat,A1) * nat * A1 ) > fun(nat,A1) ) )).++tff(sy_c_Type_Otype_OAtom,type,(+ atom: nat > type )).++tff(sy_c_Type_Otype_OFun,type,(+ fun1: ( type * type ) > type )).++tff(sy_c_Type_Otype_Otype__case,type,(+ type_case: + !>[T4: $tType] :+ ( ( fun(nat,T4) * fun(type,fun(type,T4)) * type ) > T4 ) )).++tff(sy_c_Type_Otype_Otype__size,type,(+ type_size: type > nat )).++tff(sy_c_Type_Otyping,type,(+ typing: ( fun(nat,type) * dB * type ) > $o )).++tff(sy_c_aa,type,(+ aa: + !>[A1: $tType,B: $tType] :+ ( ( fun(A1,B) * A1 ) > B ) )).++tff(sy_c_fFalse,type,(+ fFalse: bool )).++tff(sy_c_fTrue,type,(+ fTrue: bool )).++tff(sy_c_member,type,(+ member: + !>[A1: $tType] :+ ( ( A1 * fun(A1,bool) ) > $o ) )).++tff(sy_c_pp,type,(+ pp: bool > $o )).++tff(sy_v_T,type,(+ t1: type )).++tff(sy_v_e,type,(+ e: fun(nat,type) )).++tff(sy_v_t,type,(+ t: dB )).++%----Relevant facts (99)+tff(fact_0_assms,axiom,(+ typing(e,t,t1) )).++tff(fact_1_lift__IT,axiom,(+ ! [I1: nat,T1: dB] :+ ( pp(aa(dB,bool,it,T1))+ => pp(aa(dB,bool,it,lift(T1,I1))) ) )).++tff(fact_2_Var__IT,axiom,(+ ! [N2: nat] : pp(aa(dB,bool,it,var(N2))) )).++tff(fact_3_Lambda,axiom,(+ ! [R3: dB] :+ ( pp(aa(dB,bool,it,R3))+ => pp(aa(dB,bool,it,abs(R3))) ) )).++tff(fact_4_subst__Var__IT,axiom,(+ ! [J1: nat,I1: nat,R3: dB] :+ ( pp(aa(dB,bool,it,R3))+ => pp(aa(dB,bool,it,subst(R3,var(I1),J1))) ) )).++tff(fact_5_subst__type__IT,axiom,(+ ! [U3: dB,Ta1: type,U2: type,I: nat,Ea: fun(nat,type),Ta: dB] :+ ( pp(aa(dB,bool,it,Ta))+ => ( typing(shift(type,Ea,I,U2),Ta,Ta1)+ => ( pp(aa(dB,bool,it,U3))+ => ( typing(Ea,U3,U2)+ => pp(aa(dB,bool,it,subst(Ta,U3,I))) ) ) ) ) )).++tff(fact_6_app__Var__IT,axiom,(+ ! [I1: nat,T1: dB] :+ ( pp(aa(dB,bool,it,T1))+ => pp(aa(dB,bool,it,aa(dB,dB,aa(dB,fun(dB,dB),app,T1),var(I1)))) ) )).++tff(fact_7_lift__type,axiom,(+ ! [U2: type,I: nat,Ta1: type,Ta: dB,Ea: fun(nat,type)] :+ ( typing(Ea,Ta,Ta1)+ => typing(shift(type,Ea,I,U2),lift(Ta,I),Ta1) ) )).++tff(fact_8_typing_OVar,axiom,(+ ! [Ta1: type,X: nat,Env: fun(nat,type)] :+ ( aa(nat,type,Env,X) = Ta1+ => typing(Env,var(X),Ta1) ) )).++tff(fact_9_typing__elims_I1_J,axiom,(+ ! [Ta1: type,I: nat,Ea: fun(nat,type)] :+ ( typing(Ea,var(I),Ta1)+ => aa(nat,type,Ea,I) = Ta1 ) )).++tff(fact_10_lift_Osimps_I2_J,axiom,(+ ! [K: nat,T1: dB,S3: dB] : lift(aa(dB,dB,aa(dB,fun(dB,dB),app,S3),T1),K) = aa(dB,dB,aa(dB,fun(dB,dB),app,lift(S3,K)),lift(T1,K)) )).++tff(fact_11_subst__App,axiom,(+ ! [K: nat,S3: dB,U1: dB,T1: dB] : subst(aa(dB,dB,aa(dB,fun(dB,dB),app,T1),U1),S3,K) = aa(dB,dB,aa(dB,fun(dB,dB),app,subst(T1,S3,K)),subst(U1,S3,K)) )).++tff(fact_12_subst__lemma,axiom,(+ ! [I: nat,U2: type,U3: dB,E: fun(nat,type),Ta1: type,Ta: dB,Ea: fun(nat,type)] :+ ( typing(Ea,Ta,Ta1)+ => ( typing(E,U3,U2)+ => ( Ea = shift(type,E,I,U2)+ => typing(E,subst(Ta,U3,I),Ta1) ) ) ) )).++tff(fact_13_dB_Osimps_I3_J,axiom,(+ ! [DB5: dB,DB: dB] :+ ( abs(DB) = abs(DB5)+ <=> DB = DB5 ) )).++tff(fact_14_dB_Osimps_I1_J,axiom,(+ ! [Nat3: nat,Nat2: nat] :+ ( var(Nat2) = var(Nat3)+ <=> Nat2 = Nat3 ) )).++tff(fact_15_dB_Osimps_I2_J,axiom,(+ ! [DB24: dB,DB14: dB,DB2: dB,DB1: dB] :+ ( aa(dB,dB,aa(dB,fun(dB,dB),app,DB1),DB2) = aa(dB,dB,aa(dB,fun(dB,dB),app,DB14),DB24)+ <=> ( DB1 = DB14+ & DB2 = DB24 ) ) )).++tff(fact_16_subst__lift,axiom,(+ ! [S3: dB,K: nat,T1: dB] : subst(lift(T1,K),S3,K) = T1 )).++tff(fact_17_shift__eq,axiom,(+ ! [A1: $tType,Ta1: A1,Ea: fun(nat,A1),J: nat,I: nat] :+ ( I = J+ => aa(nat,A1,shift(A1,Ea,I,Ta1),J) = Ta1 ) )).++tff(fact_18_dB_Osimps_I5_J,axiom,(+ ! [Nat1: nat,DB23: dB,DB13: dB] : aa(dB,dB,aa(dB,fun(dB,dB),app,DB13),DB23) != var(Nat1) )).++tff(fact_19_dB_Osimps_I4_J,axiom,(+ ! [DB23: dB,DB13: dB,Nat1: nat] : var(Nat1) != aa(dB,dB,aa(dB,fun(dB,dB),app,DB13),DB23) )).++tff(fact_20_dB_Osimps_I8_J,axiom,(+ ! [DB4: dB,DB22: dB,DB12: dB] : aa(dB,dB,aa(dB,fun(dB,dB),app,DB12),DB22) != abs(DB4) )).++tff(fact_21_dB_Osimps_I9_J,axiom,(+ ! [DB22: dB,DB12: dB,DB4: dB] : abs(DB4) != aa(dB,dB,aa(dB,fun(dB,dB),app,DB12),DB22) )).++tff(fact_22_dB_Osimps_I6_J,axiom,(+ ! [DB4: dB,Nat1: nat] : var(Nat1) != abs(DB4) )).++tff(fact_23_dB_Osimps_I7_J,axiom,(+ ! [Nat1: nat,DB4: dB] : abs(DB4) != var(Nat1) )).++tff(fact_24_subst__eq,axiom,(+ ! [U1: dB,K: nat] : subst(var(K),U1,K) = U1 )).++tff(fact_25_dB_Oexhaust,axiom,(+ ! [Y2: dB] :+ ( ! [Nat: nat] : Y2 != var(Nat)+ => ( ! [DB11: dB,DB21: dB] : Y2 != aa(dB,dB,aa(dB,fun(dB,dB),app,DB11),DB21)+ => ~ ! [DB3: dB] : Y2 != abs(DB3) ) ) )).++tff(fact_26_App,axiom,(+ ! [Ta: dB,U2: type,Ta1: type,S: dB,Env: fun(nat,type)] :+ ( typing(Env,S,fun1(Ta1,U2))+ => ( typing(Env,Ta,Ta1)+ => typing(Env,aa(dB,dB,aa(dB,fun(dB,dB),app,S),Ta),U2) ) ) )).++tff(fact_27_dB_Osimps_I12_J,axiom,(+ ! [A1: $tType,DB: dB,F3: fun(dB,A1),F2: fun(dB,fun(dB,A1)),F1: fun(nat,A1)] : dB_case(A1,F1,F2,F3,abs(DB)) = aa(dB,A1,F3,DB) )).++tff(fact_28_dB_Osimps_I10_J,axiom,(+ ! [A1: $tType,Nat2: nat,F3: fun(dB,A1),F2: fun(dB,fun(dB,A1)),F1: fun(nat,A1)] : dB_case(A1,F1,F2,F3,var(Nat2)) = aa(nat,A1,F1,Nat2) )).++tff(fact_29_dB_Osimps_I11_J,axiom,(+ ! [A1: $tType,DB2: dB,DB1: dB,F3: fun(dB,A1),F2: fun(dB,fun(dB,A1)),F1: fun(nat,A1)] : dB_case(A1,F1,F2,F3,aa(dB,dB,aa(dB,fun(dB,dB),app,DB1),DB2)) = aa(dB,A1,aa(dB,fun(dB,A1),F2,DB1),DB2) )).++tff(fact_30_substn_Osimps_I2_J,axiom,(+ ! [K: nat,S3: dB,U1: dB,T1: dB] : substn(aa(dB,dB,aa(dB,fun(dB,dB),app,T1),U1),S3,K) = aa(dB,dB,aa(dB,fun(dB,dB),app,substn(T1,S3,K)),substn(U1,S3,K)) )).++tff(fact_31_liftn_Osimps_I2_J,axiom,(+ ! [K: nat,T1: dB,S3: dB,N2: nat] : liftn(N2,aa(dB,dB,aa(dB,fun(dB,dB),app,S3),T1),K) = aa(dB,dB,aa(dB,fun(dB,dB),app,liftn(N2,S3,K)),liftn(N2,T1,K)) )).++tff(fact_32_abs__typeE,axiom,(+ ! [Ta1: type,Ta: dB,Ea: fun(nat,type)] :+ ( typing(Ea,abs(Ta),Ta1)+ => ~ ! [U4: type,V1: type] : ~ typing(shift(type,Ea,zero_zero(nat),U4),Ta,V1) ) )).++tff(fact_33_type_Osimps_I2_J,axiom,(+ ! [Type23: type,Type13: type,Type22: type,Type12: type] :+ ( fun1(Type12,Type22) = fun1(Type13,Type23)+ <=> ( Type12 = Type13+ & Type22 = Type23 ) ) )).++tff(fact_34_substn__subst__n,axiom,(+ ! [N2: nat,S3: dB,T1: dB] : substn(T1,S3,N2) = subst(T1,liftn(N2,S3,zero_zero(nat)),N2) )).++tff(fact_35_Abs,axiom,(+ ! [U2: type,Ta: dB,Ta1: type,Env: fun(nat,type)] :+ ( typing(shift(type,Env,zero_zero(nat),Ta1),Ta,U2)+ => typing(Env,abs(Ta),fun1(Ta1,U2)) ) )).++tff(fact_36_liftn__0,axiom,(+ ! [K: nat,T1: dB] : liftn(zero_zero(nat),T1,K) = T1 )).++tff(fact_37_substn__subst__0,axiom,(+ ! [S3: dB,T1: dB] : substn(T1,S3,zero_zero(nat)) = subst(T1,S3,zero_zero(nat)) )).++tff(fact_38_typing__elims_I3_J,axiom,(+ ! [Ta1: type,Ta: dB,Ea: fun(nat,type)] :+ ( typing(Ea,abs(Ta),Ta1)+ => ~ ! [T3: type,U4: type] :+ ( Ta1 = fun1(T3,U4)+ => ~ typing(shift(type,Ea,zero_zero(nat),T3),Ta,U4) ) ) )).++tff(fact_39_typing__elims_I2_J,axiom,(+ ! [Ta1: type,U3: dB,Ta: dB,Ea: fun(nat,type)] :+ ( typing(Ea,aa(dB,dB,aa(dB,fun(dB,dB),app,Ta),U3),Ta1)+ => ~ ! [T3: type] :+ ( typing(Ea,Ta,fun1(T3,Ta1))+ => ~ typing(Ea,U3,T3) ) ) )).++tff(fact_40_dB_Osize_I1_J,axiom,(+ ! [Nat1: nat] : dB_size(var(Nat1)) = zero_zero(nat) )).++tff(fact_41_Beta,axiom,(+ ! [Ss1: list(dB),S: dB,R: dB] :+ ( pp(aa(dB,bool,it,foldl(dB,dB,app,subst(R,S,zero_zero(nat)),Ss1)))+ => ( pp(aa(dB,bool,it,S))+ => pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(R)),S),Ss1))) ) ) )).++tff(fact_42_beta,axiom,(+ ! [T1: dB,S3: dB] : pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(S3)),T1)),subst(S3,T1,zero_zero(nat)))) )).++tff(fact_43_appR,axiom,(+ ! [U1: dB,T1: dB,S3: dB] :+ ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,S3),T1))+ => pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,aa(dB,dB,aa(dB,fun(dB,dB),app,U1),S3)),aa(dB,dB,aa(dB,fun(dB,dB),app,U1),T1))) ) )).++tff(fact_44_appL,axiom,(+ ! [U1: dB,T1: dB,S3: dB] :+ ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,S3),T1))+ => pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,aa(dB,dB,aa(dB,fun(dB,dB),app,S3),U1)),aa(dB,dB,aa(dB,fun(dB,dB),app,T1),U1))) ) )).++tff(fact_45_beta__cases_I1_J,axiom,(+ ! [T1: dB,I1: nat] : ~ pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,var(I1)),T1)) )).++tff(fact_46_abs,axiom,(+ ! [T1: dB,S3: dB] :+ ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,S3),T1))+ => pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,abs(S3)),abs(T1))) ) )).++tff(fact_47_subject__reduction,axiom,(+ ! [T2: dB,Ta1: type,Ta: dB,Ea: fun(nat,type)] :+ ( typing(Ea,Ta,Ta1)+ => ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,Ta),T2))+ => typing(Ea,T2,Ta1) ) ) )).++tff(fact_48_subst__preserves__beta,axiom,(+ ! [I1: nat,T1: dB,S3: dB,R3: dB] :+ ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,R3),S3))+ => pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,subst(R3,T1,I1)),subst(S3,T1,I1))) ) )).++tff(fact_49_lift__preserves__beta,axiom,(+ ! [I1: nat,S3: dB,R3: dB] :+ ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,R3),S3))+ => pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,lift(R3,I1)),lift(S3,I1))) ) )).++tff(fact_50_var__app__type__eq,axiom,(+ ! [U2: type,Ta1: type,Ts: list(dB),I: nat,Ea: fun(nat,type)] :+ ( typing(Ea,foldl(dB,dB,app,var(I),Ts),Ta1)+ => ( typing(Ea,foldl(dB,dB,app,var(I),Ts),U2)+ => Ta1 = U2 ) ) )).++tff(fact_51_zero__reorient,axiom,(+ ! [A1: $tType] :+ ( zero(A1)+ => ! [X: A1] :+ ( zero_zero(A1) = X+ <=> X = zero_zero(A1) ) ) )).++tff(fact_52_Abs__apps__eq__Abs__apps__conv,axiom,(+ ! [Ss1: list(dB),S: dB,Rs: list(dB),R: dB] :+ ( foldl(dB,dB,app,abs(R),Rs) = foldl(dB,dB,app,abs(S),Ss1)+ <=> ( R = S+ & Rs = Ss1 ) ) )).++tff(fact_53_Var__apps__eq__Var__apps__conv,axiom,(+ ! [Ss1: list(dB),N: nat,Rs: list(dB),M: nat] :+ ( foldl(dB,dB,app,var(M),Rs) = foldl(dB,dB,app,var(N),Ss1)+ <=> ( M = N+ & Rs = Ss1 ) ) )).++tff(fact_54_beta__cases_I2_J,axiom,(+ ! [S3: dB,R3: dB] :+ ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,abs(R3)),S3))+ => ~ ! [T: dB] :+ ( S3 = abs(T)+ => ~ pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,R3),T)) ) ) )).++tff(fact_55_apps__eq__tail__conv,axiom,(+ ! [S: dB,Ts: list(dB),R: dB] :+ ( foldl(dB,dB,app,R,Ts) = foldl(dB,dB,app,S,Ts)+ <=> R = S ) )).++tff(fact_56_Abs__App__neq__Var__apps,axiom,(+ ! [Ss1: list(dB),N: nat,Ta: dB,S: dB] : aa(dB,dB,aa(dB,fun(dB,dB),app,abs(S)),Ta) != foldl(dB,dB,app,var(N),Ss1) )).++tff(fact_57_Var__apps__neq__Abs__apps,axiom,(+ ! [Ss1: list(dB),R: dB,Ts: list(dB),N: nat] : foldl(dB,dB,app,var(N),Ts) != foldl(dB,dB,app,abs(R),Ss1) )).++tff(fact_58_apps__preserves__beta,axiom,(+ ! [Ss1: list(dB),S: dB,R: dB] :+ ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,R),S))+ => pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,foldl(dB,dB,app,R,Ss1)),foldl(dB,dB,app,S,Ss1))) ) )).++tff(fact_59_beta__cases_I3_J,axiom,(+ ! [U1: dB,T1: dB,S3: dB] :+ ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,aa(dB,dB,aa(dB,fun(dB,dB),app,S3),T1)),U1))+ => ( ! [S1: dB] :+ ( U1 = subst(S1,T1,zero_zero(nat))+ => S3 != abs(S1) )+ => ( ! [T: dB] :+ ( U1 = aa(dB,dB,aa(dB,fun(dB,dB),app,T),T1)+ => ~ pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,S3),T)) )+ => ~ ! [T: dB] :+ ( U1 = aa(dB,dB,aa(dB,fun(dB,dB),app,S3),T)+ => ~ pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,T1),T)) ) ) ) ) )).++tff(fact_60_IT_OVar,axiom,(+ ! [N: nat,Rs: list(dB)] :+ ( listsp(dB,it,Rs)+ => pp(aa(dB,bool,it,foldl(dB,dB,app,var(N),Rs))) ) )).++tff(fact_61_IT_Osimps,axiom,(+ ! [A3: dB] :+ ( pp(aa(dB,bool,it,A3))+ <=> ( ? [Rs2: list(dB),N1: nat] :+ ( A3 = foldl(dB,dB,app,var(N1),Rs2)+ & listsp(dB,it,Rs2) )+ | ? [R2: dB] :+ ( A3 = abs(R2)+ & pp(aa(dB,bool,it,R2)) )+ | ? [R2: dB,S2: dB,Ss2: list(dB)] :+ ( A3 = foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(R2)),S2),Ss2)+ & pp(aa(dB,bool,it,foldl(dB,dB,app,subst(R2,S2,zero_zero(nat)),Ss2)))+ & pp(aa(dB,bool,it,S2)) ) ) ) )).++tff(fact_62_type_Osimps_I6_J,axiom,(+ ! [A1: $tType,Type22: type,Type12: type,F2: fun(type,fun(type,A1)),F1: fun(nat,A1)] : type_case(A1,F1,F2,fun1(Type12,Type22)) = aa(type,A1,aa(type,fun(type,A1),F2,Type12),Type22) )).++tff(fact_63_dB_Osize_I4_J,axiom,(+ ! [Nat1: nat] : size_size(dB,var(Nat1)) = zero_zero(nat) )).++tff(fact_64_apps__preserves__betas,axiom,(+ ! [R: dB,Ss1: list(dB),Rs: list(dB)] :+ ( step1(dB,beta,Rs,Ss1)+ => pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,foldl(dB,dB,app,R,Rs)),foldl(dB,dB,app,R,Ss1))) ) )).++tff(fact_65_type_Osimps_I5_J,axiom,(+ ! [A1: $tType,Nat2: nat,F2: fun(type,fun(type,A1)),F1: fun(nat,A1)] : type_case(A1,F1,F2,atom(Nat2)) = aa(nat,A1,F1,Nat2) )).++tff(fact_66_apps__eq__Abs__conv,axiom,(+ ! [R: dB,Ss1: list(dB),S: dB] :+ ( foldl(dB,dB,app,S,Ss1) = abs(R)+ <=> ( S = abs(R)+ & Ss1 = nil(dB) ) ) )).++tff(fact_67_type_Osimps_I1_J,axiom,(+ ! [Nat3: nat,Nat2: nat] :+ ( atom(Nat2) = atom(Nat3)+ <=> Nat2 = Nat3 ) )).++tff(fact_68_Var__eq__apps__conv,axiom,(+ ! [Ss1: list(dB),S: dB,M: nat] :+ ( var(M) = foldl(dB,dB,app,S,Ss1)+ <=> ( var(M) = S+ & Ss1 = nil(dB) ) ) )).++tff(fact_69_Abs__eq__apps__conv,axiom,(+ ! [Ss1: list(dB),S: dB,R: dB] :+ ( abs(R) = foldl(dB,dB,app,S,Ss1)+ <=> ( abs(R) = S+ & Ss1 = nil(dB) ) ) )).++tff(fact_70_type_Osimps_I3_J,axiom,(+ ! [Type21: type,Type11: type,Nat1: nat] : atom(Nat1) != fun1(Type11,Type21) )).++tff(fact_71_type_Osimps_I4_J,axiom,(+ ! [Nat1: nat,Type21: type,Type11: type] : fun1(Type11,Type21) != atom(Nat1) )).++tff(fact_72_head__Var__reduction,axiom,(+ ! [V: dB,Rs: list(dB),N: nat] :+ ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,foldl(dB,dB,app,var(N),Rs)),V))+ => ? [Ss: list(dB)] :+ ( step1(dB,beta,Rs,Ss)+ & V = foldl(dB,dB,app,var(N),Ss) ) ) )).++tff(fact_73_listsp_ONil,axiom,(+ ! [A1: $tType,A: fun(A1,bool)] : listsp(A1,A,nil(A1)) )).++tff(fact_74_ext,axiom,(+ ! [B: $tType,A1: $tType,G: fun(A1,B),F: fun(A1,B)] :+ ( ! [X2: A1] : aa(A1,B,F,X2) = aa(A1,B,G,X2)+ => F = G ) )).++tff(fact_75_mem__def,axiom,(+ ! [A1: $tType,A: fun(A1,bool),X: A1] :+ ( member(A1,X,A)+ <=> pp(aa(A1,bool,A,X)) ) )).++tff(fact_76_type_Osize_I1_J,axiom,(+ ! [Nat1: nat] : type_size(atom(Nat1)) = zero_zero(nat) )).++tff(fact_77_foldl__Nil,axiom,(+ ! [B: $tType,A1: $tType,A3: A1,F: fun(A1,fun(B,A1))] : foldl(A1,B,F,A3,nil(B)) = A3 )).++tff(fact_78_type_Osize_I3_J,axiom,(+ ! [Nat1: nat] : size_size(type,atom(Nat1)) = zero_zero(nat) )).++tff(fact_79_not__Nil__step1,axiom,(+ ! [A1: $tType,Xs: list(A1),R: fun(A1,fun(A1,bool))] : ~ step1(A1,R,nil(A1),Xs) )).++tff(fact_80_not__step1__Nil,axiom,(+ ! [A1: $tType,Xs: list(A1),R: fun(A1,fun(A1,bool))] : ~ step1(A1,R,Xs,nil(A1)) )).++tff(fact_81_type_Oexhaust,axiom,(+ ! [Y2: type] :+ ( ! [Nat: nat] : Y2 != atom(Nat)+ => ~ ! [Type1: type,Type2: type] : Y2 != fun1(Type1,Type2) ) )).++tff(fact_82_foldl__fun__comm,axiom,(+ ! [B: $tType,A1: $tType,X: A1,Xs: list(A1),S: B,F: fun(B,fun(A1,B))] :+ ( ! [X2: A1,Y: A1,S1: B] : aa(A1,B,aa(B,fun(A1,B),F,aa(A1,B,aa(B,fun(A1,B),F,S1),X2)),Y) = aa(A1,B,aa(B,fun(A1,B),F,aa(A1,B,aa(B,fun(A1,B),F,S1),Y)),X2)+ => aa(A1,B,aa(B,fun(A1,B),F,foldl(B,A1,F,S,Xs)),X) = foldl(B,A1,F,aa(A1,B,aa(B,fun(A1,B),F,S),X),Xs) ) )).++tff(fact_83_apps__betasE,axiom,(+ ! [S: dB,Rs: list(dB),R: dB] :+ ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,foldl(dB,dB,app,R,Rs)),S))+ => ( ! [R1: dB] :+ ( pp(aa(dB,bool,aa(dB,fun(dB,bool),beta,R),R1))+ => S != foldl(dB,dB,app,R1,Rs) )+ => ( ! [Rs1: list(dB)] :+ ( step1(dB,beta,Rs,Rs1)+ => S != foldl(dB,dB,app,R,Rs1) )+ => ~ ! [T: dB] :+ ( R = abs(T)+ => ! [U: dB,Us: list(dB)] :+ ( Rs = cons(dB,U,Us)+ => S != foldl(dB,dB,app,subst(T,U,zero_zero(nat)),Us) ) ) ) ) ) )).++tff(fact_84_list_Osimps_I4_J,axiom,(+ ! [B: $tType,A1: $tType,F2: fun(B,fun(list(B),A1)),F1: A1] : list_case(A1,B,F1,F2,nil(B)) = F1 )).++tff(fact_85_list_Oinject,axiom,(+ ! [A1: $tType,List3: list(A1),A6: A1,List1: list(A1),A3: A1] :+ ( cons(A1,A3,List1) = cons(A1,A6,List3)+ <=> ( A3 = A6+ & List1 = List3 ) ) )).++tff(fact_86_Cons__step1__Cons,axiom,(+ ! [A1: $tType,Xs: list(A1),X: A1,Ys: list(A1),Y3: A1,R: fun(A1,fun(A1,bool))] :+ ( step1(A1,R,cons(A1,Y3,Ys),cons(A1,X,Xs))+ <=> ( ( pp(aa(A1,bool,aa(A1,fun(A1,bool),R,Y3),X))+ & Xs = Ys )+ | ( X = Y3+ & step1(A1,R,Ys,Xs) ) ) ) )).++tff(fact_87_list_Osimps_I3_J,axiom,(+ ! [A1: $tType,List2: list(A1),A5: A1] : cons(A1,A5,List2) != nil(A1) )).++tff(fact_88_list_Osimps_I2_J,axiom,(+ ! [A1: $tType,List2: list(A1),A5: A1] : nil(A1) != cons(A1,A5,List2) )).++tff(fact_89_not__Cons__self,axiom,(+ ! [A1: $tType,X1: A1,Xs1: list(A1)] : Xs1 != cons(A1,X1,Xs1) )).++tff(fact_90_not__Cons__self2,axiom,(+ ! [A1: $tType,Xs1: list(A1),X1: A1] : cons(A1,X1,Xs1) != Xs1 )).++tff(fact_91_list_Osimps_I5_J,axiom,(+ ! [A1: $tType,B: $tType,List1: list(B),A3: B,F2: fun(B,fun(list(B),A1)),F1: A1] : list_case(A1,B,F1,F2,cons(B,A3,List1)) = aa(list(B),A1,aa(B,fun(list(B),A1),F2,A3),List1) )).++tff(fact_92_foldl__Cons,axiom,(+ ! [A1: $tType,B: $tType,Xs: list(B),X: B,A3: A1,F: fun(A1,fun(B,A1))] : foldl(A1,B,F,A3,cons(B,X,Xs)) = foldl(A1,B,F,aa(B,A1,aa(A1,fun(B,A1),F,A3),X),Xs) )).++tff(fact_93_listsp_Osimps,axiom,(+ ! [A1: $tType,A3: list(A1),A: fun(A1,bool)] :+ ( listsp(A1,A,A3)+ <=> ( A3 = nil(A1)+ | ? [A4: A1,L: list(A1)] :+ ( A3 = cons(A1,A4,L)+ & pp(aa(A1,bool,A,A4))+ & listsp(A1,A,L) ) ) ) )).++tff(fact_94_list_Oexhaust,axiom,(+ ! [A1: $tType,Y2: list(A1)] :+ ( Y2 != nil(A1)+ => ~ ! [A2: A1,List: list(A1)] : Y2 != cons(A1,A2,List) ) )).++tff(fact_95_neq__Nil__conv,axiom,(+ ! [A1: $tType,Xs: list(A1)] :+ ( Xs != nil(A1)+ <=> ? [Y1: A1,Ys1: list(A1)] : Xs = cons(A1,Y1,Ys1) ) )).++tff(fact_96_Cons__step1E,axiom,(+ ! [A1: $tType,Xs: list(A1),X: A1,Ys: list(A1),R: fun(A1,fun(A1,bool))] :+ ( step1(A1,R,Ys,cons(A1,X,Xs))+ => ( ! [Y: A1] :+ ( Ys = cons(A1,Y,Xs)+ => ~ pp(aa(A1,bool,aa(A1,fun(A1,bool),R,Y),X)) )+ => ~ ! [Zs: list(A1)] :+ ( Ys = cons(A1,X,Zs)+ => ~ step1(A1,R,Zs,Xs) ) ) ) )).++tff(fact_97_insert__Nil,axiom,(+ ! [A1: $tType,X1: A1] : insert(A1,X1,nil(A1)) = cons(A1,X1,nil(A1)) )).++tff(fact_98_sublist__singleton,axiom,(+ ! [A1: $tType,X: A1,A: fun(nat,bool)] :+ ( ( member(nat,zero_zero(nat),A)+ => sublist(A1,cons(A1,X,nil(A1)),A) = cons(A1,X,nil(A1)) )+ & ( ~ member(nat,zero_zero(nat),A)+ => sublist(A1,cons(A1,X,nil(A1)),A) = nil(A1) ) ) )).++%----Arities (1)+tff(arity_Nat_Onat___Groups_Ozero,axiom,(+ zero(nat) )).++%----Helper facts (2)+tff(help_pp_1_1_U,axiom,(+ ~ pp(fFalse) )).++tff(help_pp_2_1_U,axiom,(+ pp(fTrue) )).++%----Conjectures (1)+tff(conj_0,conjecture,(+ pp(aa(dB,bool,it,t)) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/NUN015_5.p view
@@ -0,0 +1,761 @@+%------------------------------------------------------------------------------+% File : NUN015_5 : TPTP v7.2.0. Released v6.0.0.+% Domain : Number Theory+% Problem : Sum of two squares line 201+% Version : Especial.+% English : ++% Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day+% : [Bla13] Blanchette (2011), Email to Geoff Sutcliffe+% Source : [Bla13]+% Names : s2s_201 [Bla13]++% Status : Theorem+% Rating : 0.00 v6.4.0+% Syntax : Number of formulae : 163 ( 60 unit; 36 type)+% Number of atoms : 245 ( 80 equality)+% Maximal formula depth : 8 ( 3 average)+% Number of connectives : 148 ( 30 ~; 6 |; 15 &)+% ( 46 <=>; 51 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 14 ( 9 >; 5 *; 0 +; 0 <<)+% Number of predicates : 60 ( 40 propositional; 0-3 arity)+% Number of functors : 18 ( 10 constant; 0-4 arity)+% Number of variables : 192 ( 21 sgn; 169 !; 0 ?)+% ( 192 :; 23 !>; 0 ?*)+% Maximal term depth : 6 ( 2 average)+% SPC : TF1_THM_EQU_NAR++% Comments : This file was generated by Isabelle (most likely Sledgehammer)+% 2011-12-13 16:26:34+%------------------------------------------------------------------------------+%----Should-be-implicit typings (4)+tff(ty_tc_HOL_Obool,type,(+ bool: $tType )).++tff(ty_tc_Int_Oint,type,(+ int: $tType )).++tff(ty_tc_Nat_Onat,type,(+ nat: $tType )).++tff(ty_tc_fun,type,(+ fun: ( $tType * $tType ) > $tType )).++%----Explicit typings (32)+tff(sy_cl_Int_Onumber,type,(+ number: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Ozero,type,(+ zero: + !>[A: $tType] : $o )).++tff(sy_cl_Power_Opower,type,(+ power: + !>[A: $tType] : $o )).++tff(sy_cl_Int_Onumber__ring,type,(+ number_ring: + !>[A: $tType] : $o )).++tff(sy_cl_Int_Oring__char__0,type,(+ ring_char_0: + !>[A: $tType] : $o )).++tff(sy_cl_Rings_Omult__zero,type,(+ mult_zero: + !>[A: $tType] : $o )).++tff(sy_cl_Rings_Osemiring__1,type,(+ semiring_1: + !>[A: $tType] : $o )).++tff(sy_cl_Rings_Ozero__neq__one,type,(+ zero_neq_one: + !>[A: $tType] : $o )).++tff(sy_cl_Int_Onumber__semiring,type,(+ number_semiring: + !>[A: $tType] : $o )).++tff(sy_cl_Rings_Olinordered__idom,type,(+ linordered_idom: + !>[A: $tType] : $o )).++tff(sy_cl_Rings_Ono__zero__divisors,type,(+ no_zero_divisors: + !>[A: $tType] : $o )).++tff(sy_cl_Rings_Olinordered__semidom,type,(+ linordered_semidom: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Ocancel__semigroup__add,type,(+ cancel_semigroup_add: + !>[A: $tType] : $o )).++tff(sy_cl_Rings_Oring__1__no__zero__divisors,type,(+ ring_11004092258visors: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Olinordered__ab__group__add,type,(+ linord219039673up_add: + !>[A: $tType] : $o )).++tff(sy_cl_Groups_Oordered__ab__semigroup__add__imp__le,type,(+ ordere236663937imp_le: + !>[A: $tType] : $o )).++tff(sy_c_Groups_Oplus__class_Oplus,type,(+ plus_plus: + !>[A: $tType] :+ ( ( A * A ) > A ) )).++tff(sy_c_Groups_Ozero__class_Ozero,type,(+ zero_zero: + !>[A: $tType] : A )).++tff(sy_c_Int_OBit0,type,(+ bit0: int > int )).++tff(sy_c_Int_OBit1,type,(+ bit1: int > int )).++tff(sy_c_Int_OPls,type,(+ pls: int )).++tff(sy_c_Int_Onumber__class_Onumber__of,type,(+ number_number_of: + !>[A: $tType] :+ ( int > A ) )).++tff(sy_c_Orderings_Oord__class_Oless,type,(+ ord_less: + !>[A: $tType] :+ ( ( A * A ) > $o ) )).++tff(sy_c_Power_Opower__class_Opower,type,(+ power_power: + !>[A: $tType] :+ ( ( A * nat ) > A ) )).++tff(sy_c_aa,type,(+ aa: + !>[A: $tType,B1: $tType] :+ ( ( fun(A,B1) * A ) > B1 ) )).++tff(sy_c_fFalse,type,(+ fFalse: bool )).++tff(sy_c_fTrue,type,(+ fTrue: bool )).++tff(sy_c_pp,type,(+ pp: bool > $o )).++tff(sy_v_n____,type,(+ n: nat )).++tff(sy_v_tn____,type,(+ tn: nat )).++tff(sy_v_v____,type,(+ v: int )).++tff(sy_v_w____,type,(+ w: int )).++%----Relevant facts (97)+tff(fact_0__096v_A_126_061_A0_096,axiom,(+ v != zero_zero(int) )).++tff(fact_1_zero__less__power2,axiom,(+ ! [A: $tType] :+ ( linordered_idom(A)+ => ! [A1: A] :+ ( ord_less(A,zero_zero(A),power_power(A,A1,number_number_of(nat,bit0(bit1(pls)))))+ <=> A1 != zero_zero(A) ) ) )).++tff(fact_2_zero__power2,axiom,(+ ! [A: $tType] :+ ( semiring_1(A)+ => power_power(A,zero_zero(A),number_number_of(nat,bit0(bit1(pls)))) = zero_zero(A) ) )).++tff(fact_3_zero__eq__power2,axiom,(+ ! [A: $tType] :+ ( ring_11004092258visors(A)+ => ! [A1: A] :+ ( power_power(A,A1,number_number_of(nat,bit0(bit1(pls)))) = zero_zero(A)+ <=> A1 = zero_zero(A) ) ) )).++tff(fact_4_less__special_I1_J,axiom,(+ ! [A: $tType] :+ ( ( number_ring(A)+ & linordered_idom(A) )+ => ! [Ya: int] :+ ( ord_less(A,zero_zero(A),number_number_of(A,Ya))+ <=> ord_less(int,pls,Ya) ) ) )).++tff(fact_5_less__special_I3_J,axiom,(+ ! [A: $tType] :+ ( ( number_ring(A)+ & linordered_idom(A) )+ => ! [Xa: int] :+ ( ord_less(A,number_number_of(A,Xa),zero_zero(A))+ <=> ord_less(int,Xa,pls) ) ) )).++tff(fact_6_rel__simps_I4_J,axiom,(+ ! [K: int] :+ ( ord_less(int,pls,bit0(K))+ <=> ord_less(int,pls,K) ) )).++tff(fact_7_rel__simps_I10_J,axiom,(+ ! [K: int] :+ ( ord_less(int,bit0(K),pls)+ <=> ord_less(int,K,pls) ) )).++tff(fact_8_rel__simps_I16_J,axiom,(+ ! [L1: int,K: int] :+ ( ord_less(int,bit1(K),bit0(L1))+ <=> ord_less(int,K,L1) ) )).++tff(fact_9_rel__simps_I12_J,axiom,(+ ! [K: int] :+ ( ord_less(int,bit1(K),pls)+ <=> ord_less(int,K,pls) ) )).++tff(fact_10_power__eq__0__iff__number__of,axiom,(+ ! [A: $tType] :+ ( ( power(A)+ & mult_zero(A)+ & no_zero_divisors(A)+ & zero_neq_one(A) )+ => ! [Wa: int,A1: A] :+ ( power_power(A,A1,number_number_of(nat,Wa)) = zero_zero(A)+ <=> ( A1 = zero_zero(A)+ & number_number_of(nat,Wa) != zero_zero(nat) ) ) ) )).++tff(fact_11_less__number__of,axiom,(+ ! [A: $tType] :+ ( ( number_ring(A)+ & linordered_idom(A) )+ => ! [Ya: int,Xa: int] :+ ( ord_less(A,number_number_of(A,Xa),number_number_of(A,Ya))+ <=> ord_less(int,Xa,Ya) ) ) )).++tff(fact_12_number__of__Pls,axiom,(+ ! [A: $tType] :+ ( number_ring(A)+ => number_number_of(A,pls) = zero_zero(A) ) )).++tff(fact_13_tn0,axiom,(+ ord_less(nat,zero_zero(nat),tn) )).++tff(fact_14_eq__number__of,axiom,(+ ! [A: $tType] :+ ( ( number_ring(A)+ & ring_char_0(A) )+ => ! [Ya: int,Xa: int] :+ ( number_number_of(A,Xa) = number_number_of(A,Ya)+ <=> Xa = Ya ) ) )).++tff(fact_15_rel__simps_I51_J,axiom,(+ ! [L1: int,K: int] :+ ( bit1(K) = bit1(L1)+ <=> K = L1 ) )).++tff(fact_16_rel__simps_I48_J,axiom,(+ ! [L1: int,K: int] :+ ( bit0(K) = bit0(L1)+ <=> K = L1 ) )).++tff(fact_17_n0,axiom,(+ ord_less(nat,zero_zero(nat),n) )).++tff(fact_18_rel__simps_I46_J,axiom,(+ ! [K1: int] : bit1(K1) != pls )).++tff(fact_19_rel__simps_I39_J,axiom,(+ ! [L: int] : pls != bit1(L) )).++tff(fact_20_rel__simps_I50_J,axiom,(+ ! [L: int,K1: int] : bit1(K1) != bit0(L) )).++tff(fact_21_rel__simps_I49_J,axiom,(+ ! [L: int,K1: int] : bit0(K1) != bit1(L) )).++tff(fact_22_rel__simps_I44_J,axiom,(+ ! [K: int] :+ ( bit0(K) = pls+ <=> K = pls ) )).++tff(fact_23_rel__simps_I38_J,axiom,(+ ! [L1: int] :+ ( pls = bit0(L1)+ <=> pls = L1 ) )).++tff(fact_24_Bit0__Pls,axiom,(+ bit0(pls) = pls )).++tff(fact_25_rel__simps_I17_J,axiom,(+ ! [L1: int,K: int] :+ ( ord_less(int,bit1(K),bit1(L1))+ <=> ord_less(int,K,L1) ) )).++tff(fact_26_zero__less__power__nat__eq__number__of,axiom,(+ ! [Wa: int,Xa: nat] :+ ( ord_less(nat,zero_zero(nat),power_power(nat,Xa,number_number_of(nat,Wa)))+ <=> ( number_number_of(nat,Wa) = zero_zero(nat)+ | ord_less(nat,zero_zero(nat),Xa) ) ) )).++tff(fact_27_rel__simps_I2_J,axiom,(+ ~ ord_less(int,pls,pls) )).++tff(fact_28_rel__simps_I14_J,axiom,(+ ! [L1: int,K: int] :+ ( ord_less(int,bit0(K),bit0(L1))+ <=> ord_less(int,K,L1) ) )).++tff(fact_29_nat__number__of__Pls,axiom,(+ number_number_of(nat,pls) = zero_zero(nat) )).++tff(fact_30_less__nat__number__of,axiom,(+ ! [V1: int,Va: int] :+ ( ord_less(nat,number_number_of(nat,Va),number_number_of(nat,V1))+ <=> ( ( ord_less(int,Va,V1)+ => ord_less(int,pls,V1) )+ & ord_less(int,Va,V1) ) ) )).++tff(fact_31_less__0__number__of,axiom,(+ ! [Va: int] :+ ( ord_less(nat,zero_zero(nat),number_number_of(nat,Va))+ <=> ord_less(int,pls,Va) ) )).++tff(fact_32_zero__less__power__nat__eq,axiom,(+ ! [Na: nat,Xa: nat] :+ ( ord_less(nat,zero_zero(nat),power_power(nat,Xa,Na))+ <=> ( Na = zero_zero(nat)+ | ord_less(nat,zero_zero(nat),Xa) ) ) )).++tff(fact_33_less__number__of__int__code,axiom,(+ ! [L1: int,K: int] :+ ( ord_less(int,number_number_of(int,K),number_number_of(int,L1))+ <=> ord_less(int,K,L1) ) )).++tff(fact_34_zero__is__num__zero,axiom,(+ zero_zero(int) = number_number_of(int,pls) )).++tff(fact_35_semiring__norm_I113_J,axiom,(+ zero_zero(nat) = number_number_of(nat,pls) )).++tff(fact_36_number__of__reorient,axiom,(+ ! [A: $tType] :+ ( number(A)+ => ! [Xa: A,Wa: int] :+ ( number_number_of(A,Wa) = Xa+ <=> Xa = number_number_of(A,Wa) ) ) )).++tff(fact_37_Pls__def,axiom,(+ pls = zero_zero(int) )).++tff(fact_38_less__int__code_I16_J,axiom,(+ ! [K2: int,K11: int] :+ ( ord_less(int,bit1(K11),bit1(K2))+ <=> ord_less(int,K11,K2) ) )).++tff(fact_39_less__int__code_I13_J,axiom,(+ ! [K2: int,K11: int] :+ ( ord_less(int,bit0(K11),bit0(K2))+ <=> ord_less(int,K11,K2) ) )).++tff(fact_40_semiring__numeral__0__eq__0,axiom,(+ ! [A: $tType] :+ ( number_semiring(A)+ => number_number_of(A,pls) = zero_zero(A) ) )).++tff(fact_41_semiring__norm_I112_J,axiom,(+ ! [A: $tType] :+ ( number_ring(A)+ => zero_zero(A) = number_number_of(A,pls) ) )).++tff(fact_42_less__int__code_I15_J,axiom,(+ ! [K2: int,K11: int] :+ ( ord_less(int,bit1(K11),bit0(K2))+ <=> ord_less(int,K11,K2) ) )).++tff(fact_43_bin__less__0__simps_I4_J,axiom,(+ ! [Wa: int] :+ ( ord_less(int,bit1(Wa),zero_zero(int))+ <=> ord_less(int,Wa,zero_zero(int)) ) )).++tff(fact_44_bin__less__0__simps_I1_J,axiom,(+ ~ ord_less(int,pls,zero_zero(int)) )).++tff(fact_45_bin__less__0__simps_I3_J,axiom,(+ ! [Wa: int] :+ ( ord_less(int,bit0(Wa),zero_zero(int))+ <=> ord_less(int,Wa,zero_zero(int)) ) )).++tff(fact_46_power2__less__0,axiom,(+ ! [A: $tType] :+ ( linordered_idom(A)+ => ! [A2: A] : ~ ord_less(A,power_power(A,A2,number_number_of(nat,bit0(bit1(pls)))),zero_zero(A)) ) )).++tff(fact_47_power__eq__0__iff,axiom,(+ ! [A: $tType] :+ ( ( power(A)+ & mult_zero(A)+ & no_zero_divisors(A)+ & zero_neq_one(A) )+ => ! [Na: nat,A1: A] :+ ( power_power(A,A1,Na) = zero_zero(A)+ <=> ( A1 = zero_zero(A)+ & Na != zero_zero(nat) ) ) ) )).++tff(fact_48_quartic__square__square,axiom,(+ ! [X: int] : power_power(int,power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls)))) = power_power(int,X,number_number_of(nat,bit0(bit0(bit1(pls))))) )).++tff(fact_49_pos2,axiom,(+ ord_less(nat,zero_zero(nat),number_number_of(nat,bit0(bit1(pls)))) )).++tff(fact_50_calculation,axiom,(+ plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))) = zero_zero(int) )).++tff(fact_51_zero__less__power,axiom,(+ ! [A: $tType] :+ ( linordered_semidom(A)+ => ! [N: nat,A2: A] :+ ( ord_less(A,zero_zero(A),A2)+ => ord_less(A,zero_zero(A),power_power(A,A2,N)) ) ) )).++tff(fact_52_neq0__conv,axiom,(+ ! [Na: nat] :+ ( Na != zero_zero(nat)+ <=> ord_less(nat,zero_zero(nat),Na) ) )).++tff(fact_53_nat__zero__less__power__iff,axiom,(+ ! [Na: nat,Xa: nat] :+ ( ord_less(nat,zero_zero(nat),power_power(nat,Xa,Na))+ <=> ( ord_less(nat,zero_zero(nat),Xa)+ | Na = zero_zero(nat) ) ) )).++tff(fact_54_less__nat__zero__code,axiom,(+ ! [N: nat] : ~ ord_less(nat,N,zero_zero(nat)) )).++tff(fact_55_less__zeroE,axiom,(+ ! [N: nat] : ~ ord_less(nat,N,zero_zero(nat)) )).++tff(fact_56_double__eq__0__iff,axiom,(+ ! [A: $tType] :+ ( linord219039673up_add(A)+ => ! [A1: A] :+ ( plus_plus(A,A1,A1) = zero_zero(A)+ <=> A1 = zero_zero(A) ) ) )).++tff(fact_57_add__Bit0__Bit0,axiom,(+ ! [L: int,K1: int] : plus_plus(int,bit0(K1),bit0(L)) = bit0(plus_plus(int,K1,L)) )).++tff(fact_58_add__number__of__eq,axiom,(+ ! [A: $tType] :+ ( number_ring(A)+ => ! [W: int,V: int] : plus_plus(A,number_number_of(A,V),number_number_of(A,W)) = number_number_of(A,plus_plus(int,V,W)) ) )).++tff(fact_59_add__number__of__left,axiom,(+ ! [A: $tType] :+ ( number_ring(A)+ => ! [Z: A,W: int,V: int] : plus_plus(A,number_number_of(A,V),plus_plus(A,number_number_of(A,W),Z)) = plus_plus(A,number_number_of(A,plus_plus(int,V,W)),Z) ) )).++tff(fact_60_add__Bit0__Bit1,axiom,(+ ! [L: int,K1: int] : plus_plus(int,bit0(K1),bit1(L)) = bit1(plus_plus(int,K1,L)) )).++tff(fact_61_add__Bit1__Bit0,axiom,(+ ! [L: int,K1: int] : plus_plus(int,bit1(K1),bit0(L)) = bit1(plus_plus(int,K1,L)) )).++tff(fact_62_less__not__refl,axiom,(+ ! [N: nat] : ~ ord_less(nat,N,N) )).++tff(fact_63_number__of__is__id,axiom,(+ ! [K1: int] : number_number_of(int,K1) = K1 )).++tff(fact_64_number__of__add,axiom,(+ ! [A: $tType] :+ ( number_ring(A)+ => ! [W: int,V: int] : number_number_of(A,plus_plus(int,V,W)) = plus_plus(A,number_number_of(A,V),number_number_of(A,W)) ) )).++tff(fact_65_nat__neq__iff,axiom,(+ ! [Na: nat,Ma: nat] :+ ( Ma != Na+ <=> ( ord_less(nat,Ma,Na)+ | ord_less(nat,Na,Ma) ) ) )).++tff(fact_66_plus__numeral__code_I9_J,axiom,(+ ! [W: int,V: int] : plus_plus(int,number_number_of(int,V),number_number_of(int,W)) = number_number_of(int,plus_plus(int,V,W)) )).++tff(fact_67_linorder__neqE__nat,axiom,(+ ! [Y: nat,X: nat] :+ ( X != Y+ => ( ~ ord_less(nat,X,Y)+ => ord_less(nat,Y,X) ) ) )).++tff(fact_68_less__irrefl__nat,axiom,(+ ! [N: nat] : ~ ord_less(nat,N,N) )).++tff(fact_69_less__not__refl2,axiom,(+ ! [M: nat,N: nat] :+ ( ord_less(nat,N,M)+ => M != N ) )).++tff(fact_70_less__not__refl3,axiom,(+ ! [T: nat,S: nat] :+ ( ord_less(nat,S,T)+ => S != T ) )).++tff(fact_71_nat__less__cases,axiom,(+ ! [P: fun(nat,fun(nat,bool)),Na: nat,Ma: nat] :+ ( ( ord_less(nat,Ma,Na)+ => pp(aa(nat,bool,aa(nat,fun(nat,bool),P,Na),Ma)) )+ => ( ( Ma = Na+ => pp(aa(nat,bool,aa(nat,fun(nat,bool),P,Na),Ma)) )+ => ( ( ord_less(nat,Na,Ma)+ => pp(aa(nat,bool,aa(nat,fun(nat,bool),P,Na),Ma)) )+ => pp(aa(nat,bool,aa(nat,fun(nat,bool),P,Na),Ma)) ) ) ) )).++tff(fact_72_add__Pls,axiom,(+ ! [K1: int] : plus_plus(int,pls,K1) = K1 )).++tff(fact_73_add__Pls__right,axiom,(+ ! [K1: int] : plus_plus(int,K1,pls) = K1 )).++tff(fact_74_Bit0__def,axiom,(+ ! [K1: int] : bit0(K1) = plus_plus(int,K1,K1) )).++tff(fact_75_even__less__0__iff,axiom,(+ ! [A: $tType] :+ ( linordered_idom(A)+ => ! [A1: A] :+ ( ord_less(A,plus_plus(A,A1,A1),zero_zero(A))+ <=> ord_less(A,A1,zero_zero(A)) ) ) )).++tff(fact_76_add__numeral__0__right,axiom,(+ ! [A: $tType] :+ ( number_ring(A)+ => ! [A2: A] : plus_plus(A,A2,number_number_of(A,pls)) = A2 ) )).++tff(fact_77_add__numeral__0,axiom,(+ ! [A: $tType] :+ ( number_ring(A)+ => ! [A2: A] : plus_plus(A,number_number_of(A,pls),A2) = A2 ) )).++tff(fact_78_number__of__Bit0,axiom,(+ ! [A: $tType] :+ ( number_ring(A)+ => ! [W: int] : number_number_of(A,bit0(W)) = plus_plus(A,plus_plus(A,zero_zero(A),number_number_of(A,W)),number_number_of(A,W)) ) )).++tff(fact_79_gr0I,axiom,(+ ! [N: nat] :+ ( N != zero_zero(nat)+ => ord_less(nat,zero_zero(nat),N) ) )).++tff(fact_80_gr__implies__not0,axiom,(+ ! [N: nat,M: nat] :+ ( ord_less(nat,M,N)+ => N != zero_zero(nat) ) )).++tff(fact_81_nat__power__less__imp__less,axiom,(+ ! [N: nat,M: nat,I: nat] :+ ( ord_less(nat,zero_zero(nat),I)+ => ( ord_less(nat,power_power(nat,I,M),power_power(nat,I,N))+ => ord_less(nat,M,N) ) ) )).++tff(fact_82_not__less0,axiom,(+ ! [N: nat] : ~ ord_less(nat,N,zero_zero(nat)) )).++tff(fact_83_sum__power2__eq__zero__iff,axiom,(+ ! [A: $tType] :+ ( linordered_idom(A)+ => ! [Ya: A,Xa: A] :+ ( plus_plus(A,power_power(A,Xa,number_number_of(nat,bit0(bit1(pls)))),power_power(A,Ya,number_number_of(nat,bit0(bit1(pls))))) = zero_zero(A)+ <=> ( Xa = zero_zero(A)+ & Ya = zero_zero(A) ) ) ) )).++tff(fact_84_field__power__not__zero,axiom,(+ ! [A: $tType] :+ ( ring_11004092258visors(A)+ => ! [N: nat,A2: A] :+ ( A2 != zero_zero(A)+ => power_power(A,A2,N) != zero_zero(A) ) ) )).++tff(fact_85_not__sum__power2__lt__zero,axiom,(+ ! [A: $tType] :+ ( linordered_idom(A)+ => ! [Y: A,X: A] : ~ ord_less(A,plus_plus(A,power_power(A,X,number_number_of(nat,bit0(bit1(pls)))),power_power(A,Y,number_number_of(nat,bit0(bit1(pls))))),zero_zero(A)) ) )).++tff(fact_86_sum__power2__gt__zero__iff,axiom,(+ ! [A: $tType] :+ ( linordered_idom(A)+ => ! [Ya: A,Xa: A] :+ ( ord_less(A,zero_zero(A),plus_plus(A,power_power(A,Xa,number_number_of(nat,bit0(bit1(pls)))),power_power(A,Ya,number_number_of(nat,bit0(bit1(pls))))))+ <=> ( Xa != zero_zero(A)+ | Ya != zero_zero(A) ) ) ) )).++tff(fact_87_zero__less__double__add__iff__zero__less__single__add,axiom,(+ ! [A: $tType] :+ ( linord219039673up_add(A)+ => ! [A1: A] :+ ( ord_less(A,zero_zero(A),plus_plus(A,A1,A1))+ <=> ord_less(A,zero_zero(A),A1) ) ) )).++tff(fact_88_double__add__less__zero__iff__single__add__less__zero,axiom,(+ ! [A: $tType] :+ ( linord219039673up_add(A)+ => ! [A1: A] :+ ( ord_less(A,plus_plus(A,A1,A1),zero_zero(A))+ <=> ord_less(A,A1,zero_zero(A)) ) ) )).++tff(fact_89_add__less__cancel__right,axiom,(+ ! [A: $tType] :+ ( ordere236663937imp_le(A)+ => ! [B: A,C: A,A1: A] :+ ( ord_less(A,plus_plus(A,A1,C),plus_plus(A,B,C))+ <=> ord_less(A,A1,B) ) ) )).++tff(fact_90_add__left__cancel,axiom,(+ ! [A: $tType] :+ ( cancel_semigroup_add(A)+ => ! [C: A,B: A,A1: A] :+ ( plus_plus(A,A1,B) = plus_plus(A,A1,C)+ <=> B = C ) ) )).++tff(fact_91_add__right__cancel,axiom,(+ ! [A: $tType] :+ ( cancel_semigroup_add(A)+ => ! [C: A,A1: A,B: A] :+ ( plus_plus(A,B,A1) = plus_plus(A,C,A1)+ <=> B = C ) ) )).++tff(fact_92_add__is__0,axiom,(+ ! [Na: nat,Ma: nat] :+ ( plus_plus(nat,Ma,Na) = zero_zero(nat)+ <=> ( Ma = zero_zero(nat)+ & Na = zero_zero(nat) ) ) )).++tff(fact_93_nat__add__left__cancel__less,axiom,(+ ! [Na: nat,Ma: nat,K: nat] :+ ( ord_less(nat,plus_plus(nat,K,Ma),plus_plus(nat,K,Na))+ <=> ord_less(nat,Ma,Na) ) )).++tff(fact_94_double__zero__sym,axiom,(+ ! [A: $tType] :+ ( linord219039673up_add(A)+ => ! [A1: A] :+ ( zero_zero(A) = plus_plus(A,A1,A1)+ <=> A1 = zero_zero(A) ) ) )).++tff(fact_95_add__less__cancel__left,axiom,(+ ! [A: $tType] :+ ( ordere236663937imp_le(A)+ => ! [B: A,A1: A,C: A] :+ ( ord_less(A,plus_plus(A,C,A1),plus_plus(A,C,B))+ <=> ord_less(A,A1,B) ) ) )).++tff(fact_96_add__gr__0,axiom,(+ ! [Na: nat,Ma: nat] :+ ( ord_less(nat,zero_zero(nat),plus_plus(nat,Ma,Na))+ <=> ( ord_less(nat,zero_zero(nat),Ma)+ | ord_less(nat,zero_zero(nat),Na) ) ) )).++%----Arities (27)+tff(arity_Int_Oint___Groups_Oordered__ab__semigroup__add__imp__le,axiom,(+ ordere236663937imp_le(int) )).++tff(arity_Int_Oint___Groups_Olinordered__ab__group__add,axiom,(+ linord219039673up_add(int) )).++tff(arity_Int_Oint___Rings_Oring__1__no__zero__divisors,axiom,(+ ring_11004092258visors(int) )).++tff(arity_Int_Oint___Groups_Ocancel__semigroup__add,axiom,(+ cancel_semigroup_add(int) )).++tff(arity_Int_Oint___Rings_Olinordered__semidom,axiom,(+ linordered_semidom(int) )).++tff(arity_Int_Oint___Rings_Ono__zero__divisors,axiom,(+ no_zero_divisors(int) )).++tff(arity_Int_Oint___Rings_Olinordered__idom,axiom,(+ linordered_idom(int) )).++tff(arity_Int_Oint___Int_Onumber__semiring,axiom,(+ number_semiring(int) )).++tff(arity_Int_Oint___Rings_Ozero__neq__one,axiom,(+ zero_neq_one(int) )).++tff(arity_Int_Oint___Rings_Osemiring__1,axiom,(+ semiring_1(int) )).++tff(arity_Int_Oint___Rings_Omult__zero,axiom,(+ mult_zero(int) )).++tff(arity_Int_Oint___Int_Oring__char__0,axiom,(+ ring_char_0(int) )).++tff(arity_Int_Oint___Int_Onumber__ring,axiom,(+ number_ring(int) )).++tff(arity_Int_Oint___Power_Opower,axiom,(+ power(int) )).++tff(arity_Int_Oint___Groups_Ozero,axiom,(+ zero(int) )).++tff(arity_Int_Oint___Int_Onumber,axiom,(+ number(int) )).++tff(arity_Nat_Onat___Groups_Oordered__ab__semigroup__add__imp__le,axiom,(+ ordere236663937imp_le(nat) )).++tff(arity_Nat_Onat___Groups_Ocancel__semigroup__add,axiom,(+ cancel_semigroup_add(nat) )).++tff(arity_Nat_Onat___Rings_Olinordered__semidom,axiom,(+ linordered_semidom(nat) )).++tff(arity_Nat_Onat___Rings_Ono__zero__divisors,axiom,(+ no_zero_divisors(nat) )).++tff(arity_Nat_Onat___Int_Onumber__semiring,axiom,(+ number_semiring(nat) )).++tff(arity_Nat_Onat___Rings_Ozero__neq__one,axiom,(+ zero_neq_one(nat) )).++tff(arity_Nat_Onat___Rings_Osemiring__1,axiom,(+ semiring_1(nat) )).++tff(arity_Nat_Onat___Rings_Omult__zero,axiom,(+ mult_zero(nat) )).++tff(arity_Nat_Onat___Power_Opower,axiom,(+ power(nat) )).++tff(arity_Nat_Onat___Groups_Ozero,axiom,(+ zero(nat) )).++tff(arity_Nat_Onat___Int_Onumber,axiom,(+ number(nat) )).++%----Helper facts (2)+tff(help_pp_1_1_U,axiom,(+ ~ pp(fFalse) )).++tff(help_pp_2_1_U,axiom,(+ pp(fTrue) )).++%----Conjectures (1)+tff(conj_0,conjecture,(+ ord_less(int,zero_zero(int),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/PUZ139_1.p view
@@ -0,0 +1,66 @@+%------------------------------------------------------------------------------+% File : PUZ139_1 : TPTP v7.2.0. Released v6.1.0.+% Domain : Puzzles+% Problem : Caramel vanilla coffee helps people stay awake+% Version : Especial.+% English :++% Refs : [Arh14] Arhami (2010), Email to Geoff Sutcliffe+% Source : [Arh14]+% Names : ++% Status : Theorem+% Rating : 0.00 v6.4.0+% Syntax : Number of formulae : 9 ( 2 unit; 7 type)+% Number of atoms : 2 ( 0 equality)+% Maximal formula depth : 5 ( 2 average)+% Number of connectives : 0 ( 0 ~; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)+% Number of predicates : 11 ( 10 propositional; 0-1 arity)+% Number of functors : 6 ( 5 constant; 0-3 arity)+% Number of variables : 2 ( 1 sgn; 1 !; 0 ?)+% ( 2 :; 1 !>; 0 ?*)+% Maximal term depth : 3 ( 2 average)+% SPC : TF1_THM_NEQ_NAR++% Comments : +%------------------------------------------------------------------------------+tff(beverage_type,type,(+ beverage: $tType )).++tff(syrup_type,type,(+ syrup: $tType )).++%----Coffee is a beverage+tff(coffee_type,type,(+ coffee: beverage )).++%----Vanilla syrup is a syrup+tff(vanilla_syrup_type,type,(+ vanilla_syrup: syrup )).++%----Caramel syrup is a syrup+tff(caramel_syrup_type,type,(+ caramel_syrup: syrup )).++%----The mixture of a syrup and a beverage is a beverage+%----The mixture of a syrup and a syrup is a syrup+tff(mixture_type,type,(+ mixture: + !>[BeverageOrSyrup: $tType] :+ ( ( BeverageOrSyrup * syrup ) > BeverageOrSyrup ) )).++%----The mixture of coffee and any syrup helps people stay awake+tff(help_people_stay_awake_type,type,(+ help_people_stay_awake: beverage > $o )).++tff(mixture_of_coffee_help_people_stay_awake,axiom,(+ ! [S: syrup] : help_people_stay_awake(mixture(beverage,coffee,S)) )).++%----Caramel vanilla coffee help people stay awake+tff(caramel_vanilla_coffee_help_people_stay_awake,conjecture,(+ help_people_stay_awake(mixture(beverage,coffee,mixture(syrup,caramel_syrup,vanilla_syrup))) )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/SYN000_0.ax view
@@ -0,0 +1,47 @@+%------------------------------------------------------------------------------+% File : SYN000_0 : TPTP v7.2.0. Released v5.0.0.+% Domain : Syntactic+% Axioms : A simple include file for TFF+% Version : Biased.+% English :++% Refs :+% Source : [TPTP]+% Names :++% Status : Satisfiable+% Syntax : Number of formulae : 6 ( 6 unit; 3 type)+% Number of atoms : 6 ( 0 equality)+% Maximal formula depth : 2 ( 2 average)+% Number of connectives : 0 ( 0 ~; 0 |; 0 &)+% ( 0 <=>; 0 =>; 0 <=; 0 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)+% Number of predicates : 4 ( 4 propositional; 0-0 arity)+% Number of functors : 0 ( 0 constant; --- arity)+% Number of variables : 0 ( 0 sgn; 0 !; 0 ?)+% Maximal term depth : 0 ( 0 average)+% SPC : ++% Comments :+%------------------------------------------------------------------------------+%----Some axioms to include+tff(ia1_type,type,(+ ia1: $o )).++tff(ia2_type,type,(+ ia2: $o )).++tff(ia3_type,type,(+ ia3: $o )).++tff(ia1,axiom,(+ ia1 )).++tff(ia2,axiom,(+ ia2 )).++tff(ia3,axiom,(+ ia3 )).++%------------------------------------------------------------------------------
+ test-data/tptp/tff/SYN000_1.p view
@@ -0,0 +1,171 @@+%------------------------------------------------------------------------------+% File : SYN000_1 : TPTP v7.2.0. Released v5.0.0.+% Domain : Syntactic+% Problem : Basic TPTP TF0 syntax without arithmetic+% Version : Biased.+% English : Basic TPTP TF0 syntax that you can't survive without parsing.++% Refs :+% Source : [TPTP]+% Names :++% Status : Theorem+% Rating : 0.17 v7.1.0, 0.00 v6.0.0, 0.40 v5.5.0, 0.25 v5.4.0, 0.33 v5.2.0, 0.67 v5.0.0+% Syntax : Number of formulae : 38 ( 6 unit; 25 type)+% Number of atoms : 32 ( 3 equality)+% Maximal formula depth : 7 ( 3 average)+% Number of connectives : 28 ( 9 ~; 10 |; 3 &)+% ( 1 <=>; 3 =>; 1 <=; 1 <~>)+% ( 0 ~|; 0 ~&)+% Number of type conns : 17 ( 10 >; 7 *; 0 +; 0 <<)+% Number of predicates : 37 ( 30 propositional; 0-3 arity)+% Number of functors : 10 ( 6 constant; 0-3 arity)+% Number of variables : 14 ( 1 sgn; 6 !; 8 ?)+% ( 14 :; 0 !>; 0 ?*)+% Maximal term depth : 4 ( 2 average)+% SPC : TF0_THM_EQU_NAR++% Comments :+%------------------------------------------------------------------------------+%----Propositional+tff(p0_type,type,(+ p0: $o )).++tff(q0_type,type,(+ q0: $o )).++tff(r0_type,type,(+ r0: $o )).++tff(s0_type,type,(+ s0: $o )).++tff(propositional,axiom,+ ( ( p0+ & ~ q0 )+ => ( r0+ | ~ s0 ) )).++%----First-order+tff(a_type,type,(+ a: $i )).++tff(b_type,type,(+ b: $i )).++tff(h_type,type,(+ h: $i )).++tff(f_type,type,(+ f: $i > $i )).++tff(g_type,type,(+ g: ( $i * $i * $i ) > $i )).++tff(p_type,type,(+ p: $i > $o )).++tff(q_type,type,(+ q: ( $i * $i ) > $o )).++tff(r_type,type,(+ r: ( $i * $i * $i ) > $o )).++tff(s_type,type,(+ s: $i > $o )).++tff(first_order,axiom,(+ ! [X: $i] :+ ( ( p(X)+ | ~ q(X,a) )+ => ? [Y: $i,Z: $i] :+ ( r(X,f(Y),g(X,f(Y),Z))+ & ~ s(f(f(f(b)))) ) ) )).++%----Equality+tff(equality,axiom,(+ ? [Y: $i] :+ ! [X: $i,Z: $i] :+ ( f(Y) = g(X,f(Y),Z)+ | f(f(f(b))) != a+ | X = f(Y) ) )).++%----True and false+tff(true_false,axiom,+ ( $true+ | $false )).++tff(quoted_proposition_type,type,(+ 'A proposition': $o )).++tff(quoted_predicate_type,type,(+ 'A predicate': $i > $o )).++tff(quoted_constant_type,type,(+ 'A constant': $i )).++tff(quoted_function_type,type,(+ 'A function': $i > $i )).++tff(quoted_escape_type,type,(+ 'A \'quoted \\ escape\'': $i )).++%----Quoted symbols+tff(single_quoted,axiom,+ ( 'A proposition'+ | 'A predicate'(a)+ | p('A constant')+ | p('A function'(a))+ | p('A \'quoted \\ escape\'') )).++%----Connectives - seen |, &, =>, ~ already+tff(useful_connectives,axiom,(+ ! [X: $i] :+ ( ( p(X)+ <= ~ q(X,a) )+ <=> ? [Y: $i,Z: $i] :+ ( r(X,f(Y),g(X,f(Y),Z))+ <~> ~ s(f(f(f(b)))) ) ) )).++%----New types+tff(new_type,type,(+ new: $tType )).++tff(newc_type,type,(+ newc: new )).++tff(newf_type,type,(+ newf: ( new * $i ) > new )).++tff(newp_type,type,(+ newp: ( new * $i ) > $o )).++tff(new_axiom,axiom,(+ ! [X: new] : newp(newf(newc,a),a) )).++%----Annotated formula names+tff(123,axiom,(+ ! [X: $i] :+ ( ( p(X)+ | ~ q(X,a) )+ => ? [Y: $i,Z: $i] :+ ( r(X,f(Y),g(X,f(Y),Z))+ & ~ s(f(f(f(b)))) ) ) )).++%----Roles+tff(role_hypothesis,hypothesis,(+ p(h) )).++tff(role_conjecture,conjecture,(+ ? [X: $i] : p(X) )).++%----Include directive+include('Axioms/SYN000_0.ax').++%----Comments+/* This+ is a block+ comment.+*/++%------------------------------------------------------------------------------
+ test-data/tstp/cnf/AGT004+2---SNARK---20120808r022.THM-Ref.s view
@@ -0,0 +1,163 @@+%------------------------------------------------------------------------------+% File : SNARK---20120808r022+% Problem : AGT004+2 : TPTP v6.4.0. Bugfixed v3.1.0.+% Transform : none+% Format : tptp:raw+% Command : run-snark %s %d++% Computer : n145.star.cs.uiowa.edu+% Model : x86_64 x86_64+% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz+% Memory : 32218.75MB+% OS : Linux 3.10.0-327.10.1.el7.x86_64+% CPULimit : 300s+% DateTime : Mon Apr 25 10:31:20 EDT 2016++% Result : Theorem 0.07s+% Output : Refutation 0.07s+% Verified : +% Statistics : Number of clauses : 4 ( 4 expanded)+% Number of leaves : 3 ( 3 expanded)+% Depth : 1+% Number of atoms : 5 ( 5 expanded)+% Number of equality atoms : 0 ( 0 expanded)+% Maximal clause size : 2 ( 1 average)+% Maximal term depth : 1 ( 1 average)++% Comments : +%------------------------------------------------------------------------------+cnf(1,axiom,+ ( ~ accept_team(X,Y,Z,U)+ | accept_city(X,Z) ),+ file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1)).++cnf(350,axiom,+ ( ~ accept_city(countryamedicalorganization,coastvillage) ),+ file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_13)).++cnf(957,negated_conjecture,+ ( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_4)).++cnf(964,plain,+ ( $false ),+ inference('UR-RESOLVE',[status(thm)],[1,957,350])).+%------------------------------------------------------------------------------+%----ORIGINAL SYSTEM OUTPUT+% 0.00/0.03 % Problem : AGT004+2 : TPTP v6.4.0. Bugfixed v3.1.0.+% 0.00/0.04 % Command : run-snark %s %d+% 0.03/0.23 % Computer : n145.star.cs.uiowa.edu+% 0.03/0.23 % Model : x86_64 x86_64+% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz+% 0.03/0.23 % Memory : 32218.75MB+% 0.03/0.23 % OS : Linux 3.10.0-327.10.1.el7.x86_64+% 0.03/0.23 % CPULimit : 300+% 0.03/0.23 % DateTime : Sun Apr 24 09:46:49 CDT 2016+% 0.03/0.23 % CPUTime : +% 0.03/0.26 /export/starexec/sandbox/benchmark/theBenchmark.p+% 0.03/0.27 * +% 0.03/0.27 * +% 0.03/0.27 #<PACKAGE "SNARK-USER">+% 0.03/0.27 * +% 0.03/0.27 SNARK-TPTP-OPTIONS+% 0.03/0.27 * +% 0.03/0.27 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)+% 0.03/0.27 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)+% 0.03/0.27 (USE-FACTORING :POS)+% 0.03/0.27 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)+% 0.03/0.27 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)+% 0.03/0.27 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)+% 0.03/0.27 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)+% 0.03/0.27 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)+% 0.03/0.27 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)+% 0.03/0.27 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)+% 0.03/0.27 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)+% 0.03/0.27 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)+% 0.03/0.27 (DECLARE-TPTP-SYMBOLS2))+% 0.03/0.27 * +% 0.03/0.27 "."+% 0.03/0.27 * +% 0.03/0.27 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2016-04-24T09:46:49+% 0.03/0.27 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n145.star.cs.uiowa.edu at 2016-04-24T09:46:49+% 0.07/0.36 WARNING:+% 0.07/0.36 |sum| is a 3-ary relation that occurs only negatively; disabling rows that contain it.+% 0.07/0.36 WARNING:+% 0.07/0.36 |min_number_of_proposed_agents| is a 2-ary relation that occurs only negatively; disabling rows that contain it.+% 0.07/0.45 +% 0.07/0.45 +% 0.07/0.45 #||+% 0.07/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p+% 0.07/0.45 % SZS output start Refutation+% 0.07/0.45 cnf(1, axiom,+% 0.07/0.46 (~ accept_team(X,Y,Z,U) | accept_city(X,Z)),+% 0.07/0.46 file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1)).+% 0.07/0.46 cnf(350, axiom,+% 0.07/0.46 ~ accept_city(countryamedicalorganization,coastvillage),+% 0.07/0.46 file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_13)).+% 0.07/0.46 cnf(957, negated_conjecture,+% 0.07/0.46 accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),+% 0.07/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_4)).+% 0.07/0.46 cnf(964, plain,+% 0.07/0.46 $false,+% 0.07/0.46 inference('UR-RESOLVE',[status(thm)],[1,957,350])).+% 0.07/0.46 % SZS output end Refutation+% 0.07/0.46 ||#+% 0.07/0.46 +% 0.07/0.46 ; Summary of computation:+% 0.07/0.46 ; 1820 formulas have been input or derived (from 691 formulas).+% 0.07/0.46 ; 964 (53%) were retained. Of these,+% 0.07/0.46 ; 964 (100%) are still being kept.+% 0.07/0.46 ; +% 0.07/0.46 ; Run time in seconds:+% 0.07/0.46 ; 0.070 38% Read assertion file (1 call)+% 0.07/0.46 ; 0.008 4% Assert (923 calls)+% 0.07/0.46 ; 0.045 25% Process new row (1,591 calls)+% 0.07/0.46 ; 0.019 10% Resolution (1,380 calls)+% 0.07/0.46 ; 0.002 1% Paramodulation (690 calls)+% 0.07/0.46 ; 0.000 0% Condensing (103 calls)+% 0.07/0.46 ; 0.000 0% Forward subsumption (103 calls)+% 0.07/0.46 ; 0.003 2% Backward subsumption (103 calls)+% 0.07/0.46 ; 0.000 0% Clause clause subsumption (1 call)+% 0.07/0.46 ; 0.006 3% Forward simplification (1,589 calls)+% 0.07/0.46 ; 0.001 1% Backward simplification (964 calls)+% 0.07/0.46 ; 0.000 0% Ordering (3 calls)+% 0.07/0.46 ; 0.000 0% Sortal reasoning (32 calls)+% 0.07/0.46 ; 0.001 1% Purity testing (1 call)+% 0.07/0.46 ; 0.028 15% Other+% 0.07/0.46 ; 0.183 Total+% 0.07/0.46 ; 0.183 Real time+% 0.07/0.46 ; +% 0.07/0.46 ; Term-hash-array has 1,347 terms in all.+% 0.07/0.46 ; Feature-vector-row-index has 103 entries (103 at peak, 103 added, 0 deleted).+% 0.07/0.46 ; Feature-vector-row-index has 320 nodes (320 at peak, 320 added, 0 deleted).+% 0.07/0.46 ; Retrieved 3 possibly forward subsuming rows in 103 calls.+% 0.07/0.46 ; Retrieved 3 possibly backward subsumed rows in 103 calls.+% 0.07/0.46 ; Path-index has 1,633 entries (1,633 at peak, 1,633 added, 0 deleted).+% 0.07/0.46 ; Path-index has 1,094 nodes (1,094 at peak, 1,094 added, 0 deleted).+% 0.07/0.46 ; Trie-index has 1,633 entries (1,633 at peak, 1,633 added, 0 deleted).+% 0.07/0.46 ; Trie-index has 4,005 nodes (4,005 at peak, 4,005 added, 0 deleted).+% 0.07/0.46 ; Retrieved 625 generalization terms in 1,527 calls.+% 0.07/0.46 ; Retrieved 866 instance terms in 860 calls.+% 0.07/0.46 ; Retrieved 4,483 unifiable terms in 4,149 calls.+% 0.07/0.46 ; +% 0.07/0.46 ; The agenda of rows to process has 164 entries:+% 0.07/0.46 ; 162 with value 5 2 with value 7+% 0.07/0.46 ; The agenda of input rows to give has 267 entries:+% 0.07/0.46 ; 3 with value 10 1 with value 14 1 with value 21+% 0.07/0.46 ; 1 with value 11 59 with value 16 1 with value 22+% 0.07/0.46 ; 183 with value 12 1 with value 18 13 with value 29+% 0.07/0.46 ; 2 with value 13 2 with value 20+% 0.07/0.46 ; The agenda of rows to give has 6 entries:+% 0.07/0.46 ; 2 with value (4 5) 4 with value (4 6)+% 0.07/0.46 Evaluation took:+% 0.07/0.46 0.184 seconds of real time+% 0.07/0.46 0.169975 seconds of user run time+% 0.07/0.46 0.014081 seconds of system run time+% 0.07/0.46 0 calls to %EVAL+% 0.07/0.46 0 page faults and+% 0.07/0.46 12,086,320 bytes consed.+% 0.07/0.46 :PROOF-FOUND+% 0.07/0.46 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2016-04-24T09:46:49+% 0.07/0.46 :PROOF-FOUND+% 0.07/0.46 * +%------------------------------------------------------------------------------
+ test-data/tstp/cnf/AGT004+2---SPASS---3.9.THM-Ref.s view
@@ -0,0 +1,92 @@+%------------------------------------------------------------------------------+% File : SPASS---3.9+% Problem : AGT004+2 : TPTP v6.4.0. Bugfixed v3.1.0.+% Transform : none+% Format : tptp+% Command : run_spass %d %s++% Computer : n017.star.cs.uiowa.edu+% Model : x86_64 x86_64+% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz+% Memory : 32218.625MB+% OS : Linux 3.10.0-514.6.1.el7.x86_64+% CPULimit : 300s+% DateTime : Fri Jul 14 14:11:04 EDT 2017++% Result : Theorem 0.07s+% Output : Refutation 0.07s+% Verified : +% Statistics : Number of clauses : 5 ( 5 expanded)+% Number of leaves : 3 ( 3 expanded)+% Depth : 2+% Number of atoms : 6 ( 6 expanded)+% Number of equality atoms : 0 ( 0 expanded)+% Maximal clause size : 2 ( 1 average)+% Maximal term depth : 1 ( 1 average)++% Comments : +%------------------------------------------------------------------------------+cnf(305,axiom,+ ( ~ accept_city(countryamedicalorganization,coastvillage) ),+ file('AGT004+2.p',unknown),+ []).++cnf(474,axiom,+ ( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),+ file('AGT004+2.p',unknown),+ []).++cnf(910,axiom,+ ( ~ accept_team(u,v,w,x)+ | accept_city(u,w) ),+ file('AGT004+2.p',unknown),+ []).++cnf(997,plain,+ ( accept_city(countryamedicalorganization,coastvillage) ),+ inference(res,[status(thm),theory(equality)],[474,910]),+ [iquote('0:Res:474.0,910.0')]).++cnf(1000,plain,+ ( $false ),+ inference(mrr,[status(thm)],[997,305]),+ [iquote('0:MRR:997.0,305.0')]).++%------------------------------------------------------------------------------+%----ORIGINAL SYSTEM OUTPUT+% 0.00/0.03 % Problem : AGT004+2 : TPTP v6.4.0. Bugfixed v3.1.0.+% 0.00/0.04 % Command : run_spass %d %s+% 0.02/0.23 % Computer : n017.star.cs.uiowa.edu+% 0.02/0.23 % Model : x86_64 x86_64+% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz+% 0.02/0.23 % Memory : 32218.625MB+% 0.02/0.23 % OS : Linux 3.10.0-514.6.1.el7.x86_64+% 0.02/0.23 % CPULimit : 300+% 0.02/0.23 % DateTime : Fri Jul 14 10:46:52 CDT 2017+% 0.02/0.23 % CPUTime : +% 0.07/0.50 +% 0.07/0.50 SPASS V 3.9 +% 0.07/0.50 SPASS beiseite: Proof found.+% 0.07/0.50 % SZS status Theorem+% 0.07/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p +% 0.07/0.50 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 960 clauses.+% 0.07/0.50 SPASS allocated 99320 KBytes.+% 0.07/0.50 SPASS spent 0:00:00.24 on the problem.+% 0.07/0.50 0:00:00.03 for the input.+% 0.07/0.50 0:00:00.08 for the FLOTTER CNF translation.+% 0.07/0.50 0:00:00.00 for inferences.+% 0.07/0.50 0:00:00.00 for the backtracking.+% 0.07/0.50 0:00:00.06 for the reduction.+% 0.07/0.50 +% 0.07/0.50 +% 0.07/0.50 Here is a proof with depth 1, length 5 :+% 0.07/0.50 % SZS output start Refutation+% 0.07/0.50 305[0:Inp] || accept_city(countryamedicalorganization,coastvillage)* -> .+% 0.07/0.50 474[0:Inp] || -> accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)*.+% 0.07/0.50 910[0:Inp] || accept_team(u,v,w,x)* -> accept_city(u,w).+% 0.07/0.50 997[0:Res:474.0,910.0] || -> accept_city(countryamedicalorganization,coastvillage)*.+% 0.07/0.50 1000[0:MRR:997.0,305.0] || -> .+% 0.07/0.50 % SZS output end Refutation+% 0.07/0.50 Formulae used in the proof : deduced_13 query_4 a1_1+% 0.07/0.50 +%------------------------------------------------------------------------------
+ test-data/tstp/cnf/ALG028+1---SPASS---3.9.THM-Ref.s view
@@ -0,0 +1,874 @@+%------------------------------------------------------------------------------+% File : SPASS---3.9+% Problem : ALG028+1 : TPTP v6.4.0. Released v2.7.0.+% Transform : none+% Format : tptp+% Command : run_spass %d %s++% Computer : n018.star.cs.uiowa.edu+% Model : x86_64 x86_64+% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz+% Memory : 32218.625MB+% OS : Linux 3.10.0-514.6.1.el7.x86_64+% CPULimit : 300s+% DateTime : Fri Jul 14 14:11:14 EDT 2017++% Result : Theorem 0.06s+% Output : Refutation 0.06s+% Verified : +% Statistics : Number of clauses : 126 (9526 expanded)+% Number of leaves : 42 (6040 expanded)+% Depth : 18+% Number of atoms : 184 (9754 expanded)+% Number of equality atoms : 183 (9753 expanded)+% Maximal clause size : 21 ( 1 average)+% Maximal term depth : 5 ( 2 average)++% Comments : +%------------------------------------------------------------------------------+cnf(35,axiom,+ ( equal(op(e4,e4),e3) ),+ file('ALG028+1.p',unknown),+ []).++cnf(64,axiom,+ ( equal(op(e1,e0),op(e0,e1)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(65,axiom,+ ( equal(op(e2,e0),op(e0,e2)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(66,axiom,+ ( equal(op(e3,e0),op(e0,e3)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(67,axiom,+ ( equal(op(e4,e0),op(e0,e4)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(68,axiom,+ ( equal(op(e5,e0),op(e0,e5)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(70,axiom,+ ( equal(op(e2,e1),op(e1,e2)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(71,axiom,+ ( equal(op(e3,e1),op(e1,e3)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(72,axiom,+ ( equal(op(e4,e1),op(e1,e4)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(73,axiom,+ ( equal(op(e5,e1),op(e1,e5)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(75,axiom,+ ( equal(op(e3,e2),op(e2,e3)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(76,axiom,+ ( equal(op(e4,e2),op(e2,e4)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(77,axiom,+ ( equal(op(e5,e2),op(e2,e5)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(79,axiom,+ ( equal(op(e4,e3),op(e3,e4)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(80,axiom,+ ( equal(op(e5,e3),op(e3,e5)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(82,axiom,+ ( equal(op(e5,e4),op(e4,e5)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(84,axiom,+ ( equal(op(op(e4,e4),e4),e1) ),+ file('ALG028+1.p',unknown),+ []).++cnf(235,axiom,+ ( ~ equal(op(e4,e1),op(e4,e0)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(236,axiom,+ ( ~ equal(op(e4,e2),op(e4,e0)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(237,axiom,+ ( ~ equal(op(e4,e3),op(e4,e0)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(238,axiom,+ ( ~ equal(op(e4,e4),op(e4,e0)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(239,axiom,+ ( ~ equal(op(e4,e5),op(e4,e0)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(295,axiom,+ ( equal(op(op(op(e4,e4),e4),e4),e2) ),+ file('ALG028+1.p',unknown),+ []).++cnf(441,axiom,+ ( equal(op(op(e4,e0),e1),op(e4,op(e0,e1))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(442,axiom,+ ( equal(op(op(e4,e0),e2),op(e4,op(e0,e2))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(443,axiom,+ ( equal(op(op(e4,e0),e3),op(e4,op(e0,e3))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(446,axiom,+ ( equal(op(op(e4,e1),e0),op(e4,op(e1,e0))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(452,axiom,+ ( equal(op(op(e4,e2),e0),op(e4,op(e2,e0))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(458,axiom,+ ( equal(op(op(e4,e3),e0),op(e4,op(e3,e0))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(459,axiom,+ ( equal(op(op(e4,e3),e1),op(e4,op(e3,e1))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(460,axiom,+ ( equal(op(op(e4,e3),e2),op(e4,op(e3,e2))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(464,axiom,+ ( equal(op(op(e4,e4),e0),op(e4,op(e4,e0))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(465,axiom,+ ( equal(op(op(e4,e4),e1),op(e4,op(e4,e1))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(466,axiom,+ ( equal(op(op(e4,e4),e2),op(e4,op(e4,e2))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(474,axiom,+ ( equal(op(op(e4,e5),e4),op(e4,op(e5,e4))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(501,axiom,+ ( equal(op(op(e5,e4),e1),op(e5,op(e4,e1))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(503,axiom,+ ( equal(op(op(e5,e4),e3),op(e5,op(e4,e3))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(504,axiom,+ ( equal(op(op(e5,e4),e4),op(e5,op(e4,e4))) ),+ file('ALG028+1.p',unknown),+ []).++cnf(512,axiom,+ ( equal(op(op(op(op(e4,e4),e4),e4),e4),e5) ),+ file('ALG028+1.p',unknown),+ []).++cnf(513,axiom,+ ( equal(op(op(op(op(e4,e4),e4),e4),op(e4,e4)),e0) ),+ file('ALG028+1.p',unknown),+ []).++cnf(523,axiom,+ ( equal(op(e5,e3),e0)+ | equal(op(e5,e3),e1)+ | equal(op(e5,e3),e2)+ | equal(op(e5,e3),e3)+ | equal(op(e5,e3),e4)+ | equal(op(e5,e3),e5) ),+ file('ALG028+1.p',unknown),+ []).++cnf(557,axiom,+ ( ~ equal(op(e0,e0),op(e0,e0))+ | ~ equal(op(e1,e0),op(e0,e1))+ | ~ equal(op(e2,e0),op(e0,e2))+ | ~ equal(op(e3,e0),op(e0,e3))+ | ~ equal(op(e4,e0),op(e0,e4))+ | ~ equal(op(e5,e0),op(e0,e5))+ | ~ equal(op(e1,e1),op(e1,e1))+ | ~ equal(op(e2,e1),op(e1,e2))+ | ~ equal(op(e3,e1),op(e1,e3))+ | ~ equal(op(e4,e1),op(e1,e4))+ | ~ equal(op(e5,e1),op(e1,e5))+ | ~ equal(op(e2,e2),op(e2,e2))+ | ~ equal(op(e3,e2),op(e2,e3))+ | ~ equal(op(e4,e2),op(e2,e4))+ | ~ equal(op(e5,e2),op(e2,e5))+ | ~ equal(op(e3,e3),op(e3,e3))+ | ~ equal(op(e4,e3),op(e3,e4))+ | ~ equal(op(e5,e3),op(e3,e5))+ | ~ equal(op(e4,e4),op(e4,e4))+ | ~ equal(op(e5,e4),op(e4,e5))+ | ~ equal(op(e5,e5),op(e5,e5)) ),+ file('ALG028+1.p',unknown),+ []).++cnf(558,plain,+ ( equal(op(e3,e4),e1) ),+ inference(rew,[status(thm),theory(equality)],[35,84]),+ [iquote('0:Rew:35.0,84.0')]).++cnf(559,plain,+ ( equal(op(e4,e3),e1) ),+ inference(rew,[status(thm),theory(equality)],[558,79]),+ [iquote('0:Rew:558.0,79.0')]).++cnf(585,plain,+ ( ~ equal(op(e4,e5),op(e0,e4)) ),+ inference(rew,[status(thm),theory(equality)],[67,239]),+ [iquote('0:Rew:67.0,239.0')]).++cnf(586,plain,+ ( ~ equal(op(e0,e4),e3) ),+ inference(rew,[status(thm),theory(equality)],[35,238,67]),+ [iquote('0:Rew:35.0,238.0,67.0,238.0')]).++cnf(587,plain,+ ( ~ equal(op(e0,e4),e1) ),+ inference(rew,[status(thm),theory(equality)],[559,237,67]),+ [iquote('0:Rew:559.0,237.0,67.0,237.0')]).++cnf(588,plain,+ ( ~ equal(op(e2,e4),op(e0,e4)) ),+ inference(rew,[status(thm),theory(equality)],[76,236,67]),+ [iquote('0:Rew:76.0,236.0,67.0,236.0')]).++cnf(589,plain,+ ( ~ equal(op(e1,e4),op(e0,e4)) ),+ inference(rew,[status(thm),theory(equality)],[72,235,67]),+ [iquote('0:Rew:72.0,235.0,67.0,235.0')]).++cnf(680,plain,+ ( equal(op(e1,e4),e2) ),+ inference(rew,[status(thm),theory(equality)],[558,295,35]),+ [iquote('0:Rew:558.0,295.0,35.0,295.0')]).++cnf(681,plain,+ ( equal(op(e4,e1),e2) ),+ inference(rew,[status(thm),theory(equality)],[680,72]),+ [iquote('0:Rew:680.0,72.0')]).++cnf(686,plain,+ ( ~ equal(op(e0,e4),e2) ),+ inference(rew,[status(thm),theory(equality)],[680,589]),+ [iquote('0:Rew:680.0,589.0')]).++cnf(692,plain,+ ( equal(op(e2,e4),e5) ),+ inference(rew,[status(thm),theory(equality)],[680,512,558,35]),+ [iquote('0:Rew:680.0,512.0,558.0,512.0,35.0,512.0')]).++cnf(693,plain,+ ( equal(op(e4,e2),e5) ),+ inference(rew,[status(thm),theory(equality)],[692,76]),+ [iquote('0:Rew:692.0,76.0')]).++cnf(697,plain,+ ( ~ equal(op(e0,e4),e5) ),+ inference(rew,[status(thm),theory(equality)],[692,588]),+ [iquote('0:Rew:692.0,588.0')]).++cnf(710,plain,+ ( equal(op(op(e4,e5),e4),op(e3,e5)) ),+ inference(rew,[status(thm),theory(equality)],[82,504,80,35]),+ [iquote('0:Rew:82.0,504.0,80.0,504.0,35.0,504.0')]).++cnf(711,plain,+ ( equal(op(op(e4,e5),e3),op(e1,e5)) ),+ inference(rew,[status(thm),theory(equality)],[82,503,73,559]),+ [iquote('0:Rew:82.0,503.0,73.0,503.0,559.0,503.0')]).++cnf(713,plain,+ ( equal(op(op(e4,e5),e1),op(e2,e5)) ),+ inference(rew,[status(thm),theory(equality)],[82,501,77,681]),+ [iquote('0:Rew:82.0,501.0,77.0,501.0,681.0,501.0')]).++cnf(742,plain,+ ( equal(op(e4,op(e4,e5)),op(e3,e5)) ),+ inference(rew,[status(thm),theory(equality)],[710,474,82]),+ [iquote('0:Rew:710.0,474.0,82.0,474.0')]).++cnf(759,plain,+ ( equal(op(e4,e5),op(e2,e3)) ),+ inference(rew,[status(thm),theory(equality)],[75,466,35,693]),+ [iquote('0:Rew:75.0,466.0,35.0,466.0,693.0,466.0')]).++cnf(760,plain,+ ( equal(op(e5,e4),op(e2,e3)) ),+ inference(rew,[status(thm),theory(equality)],[759,82]),+ [iquote('0:Rew:759.0,82.0')]).++cnf(768,plain,+ ( ~ equal(op(e2,e3),op(e0,e4)) ),+ inference(rew,[status(thm),theory(equality)],[759,585]),+ [iquote('0:Rew:759.0,585.0')]).++cnf(771,plain,+ ( equal(op(op(e2,e3),e4),op(e3,e5)) ),+ inference(rew,[status(thm),theory(equality)],[759,710]),+ [iquote('0:Rew:759.0,710.0')]).++cnf(772,plain,+ ( equal(op(op(e2,e3),e3),op(e1,e5)) ),+ inference(rew,[status(thm),theory(equality)],[759,711]),+ [iquote('0:Rew:759.0,711.0')]).++cnf(774,plain,+ ( equal(op(op(e2,e3),e1),op(e2,e5)) ),+ inference(rew,[status(thm),theory(equality)],[759,713]),+ [iquote('0:Rew:759.0,713.0')]).++cnf(776,plain,+ ( equal(op(e4,op(e2,e3)),op(e3,e5)) ),+ inference(rew,[status(thm),theory(equality)],[759,742]),+ [iquote('0:Rew:759.0,742.0')]).++cnf(777,plain,+ ( equal(op(e1,e3),e5) ),+ inference(rew,[status(thm),theory(equality)],[71,465,35,693,681]),+ [iquote('0:Rew:71.0,465.0,35.0,465.0,693.0,465.0,681.0,465.0')]).++cnf(778,plain,+ ( equal(op(e3,e1),e5) ),+ inference(rew,[status(thm),theory(equality)],[777,71]),+ [iquote('0:Rew:777.0,71.0')]).++cnf(790,plain,+ ( equal(op(e4,op(e0,e4)),op(e0,e3)) ),+ inference(rew,[status(thm),theory(equality)],[66,464,35,67]),+ [iquote('0:Rew:66.0,464.0,35.0,464.0,67.0,464.0')]).++cnf(794,plain,+ ( equal(op(e3,e5),op(e1,e2)) ),+ inference(rew,[status(thm),theory(equality)],[559,460,776,75]),+ [iquote('0:Rew:559.0,460.0,776.0,460.0,75.0,460.0')]).++cnf(795,plain,+ ( equal(op(e5,e3),op(e1,e2)) ),+ inference(rew,[status(thm),theory(equality)],[794,80]),+ [iquote('0:Rew:794.0,80.0')]).++cnf(811,plain,+ ( equal(op(op(e2,e3),e4),op(e1,e2)) ),+ inference(rew,[status(thm),theory(equality)],[794,771]),+ [iquote('0:Rew:794.0,771.0')]).++cnf(815,plain,+ ( equal(op(e2,e3),op(e1,e1)) ),+ inference(rew,[status(thm),theory(equality)],[559,459,759,778]),+ [iquote('0:Rew:559.0,459.0,759.0,459.0,778.0,459.0')]).++cnf(816,plain,+ ( equal(op(e3,e2),op(e1,e1)) ),+ inference(rew,[status(thm),theory(equality)],[815,75]),+ [iquote('0:Rew:815.0,75.0')]).++cnf(826,plain,+ ( equal(op(e4,e5),op(e1,e1)) ),+ inference(rew,[status(thm),theory(equality)],[815,759]),+ [iquote('0:Rew:815.0,759.0')]).++cnf(828,plain,+ ( equal(op(e5,e4),op(e1,e1)) ),+ inference(rew,[status(thm),theory(equality)],[815,760]),+ [iquote('0:Rew:815.0,760.0')]).++cnf(832,plain,+ ( ~ equal(op(e1,e1),op(e0,e4)) ),+ inference(rew,[status(thm),theory(equality)],[815,768]),+ [iquote('0:Rew:815.0,768.0')]).++cnf(833,plain,+ ( equal(op(op(e1,e1),e3),op(e1,e5)) ),+ inference(rew,[status(thm),theory(equality)],[815,772]),+ [iquote('0:Rew:815.0,772.0')]).++cnf(835,plain,+ ( equal(op(op(e1,e1),e1),op(e2,e5)) ),+ inference(rew,[status(thm),theory(equality)],[815,774]),+ [iquote('0:Rew:815.0,774.0')]).++cnf(836,plain,+ ( equal(op(op(e1,e1),e4),op(e1,e2)) ),+ inference(rew,[status(thm),theory(equality)],[815,811]),+ [iquote('0:Rew:815.0,811.0')]).++cnf(838,plain,+ ( equal(op(e4,op(e0,e3)),op(e0,e1)) ),+ inference(rew,[status(thm),theory(equality)],[64,458,559,66]),+ [iquote('0:Rew:64.0,458.0,559.0,458.0,66.0,458.0')]).++cnf(844,plain,+ ( equal(op(e4,op(e0,e2)),op(e0,e5)) ),+ inference(rew,[status(thm),theory(equality)],[68,452,693,65]),+ [iquote('0:Rew:68.0,452.0,693.0,452.0,65.0,452.0')]).++cnf(857,plain,+ ( equal(op(e4,op(e0,e1)),op(e0,e2)) ),+ inference(rew,[status(thm),theory(equality)],[65,446,681,64]),+ [iquote('0:Rew:65.0,446.0,681.0,446.0,64.0,446.0')]).++cnf(860,plain,+ ( equal(op(op(e0,e4),e3),op(e0,e1)) ),+ inference(rew,[status(thm),theory(equality)],[67,443,838]),+ [iquote('0:Rew:67.0,443.0,838.0,443.0')]).++cnf(861,plain,+ ( equal(op(op(e0,e4),e2),op(e0,e5)) ),+ inference(rew,[status(thm),theory(equality)],[67,442,844]),+ [iquote('0:Rew:67.0,442.0,844.0,442.0')]).++cnf(862,plain,+ ( equal(op(op(e0,e4),e1),op(e0,e2)) ),+ inference(rew,[status(thm),theory(equality)],[67,441,857]),+ [iquote('0:Rew:67.0,441.0,857.0,441.0')]).++cnf(1077,plain,+ ( equal(op(e1,e1),e0) ),+ inference(rew,[status(thm),theory(equality)],[815,513,680,558,35]),+ [iquote('0:Rew:815.0,513.0,680.0,513.0,558.0,513.0,35.0,513.0')]).++cnf(1083,plain,+ ( equal(op(e2,e3),e0) ),+ inference(rew,[status(thm),theory(equality)],[1077,815]),+ [iquote('0:Rew:1077.0,815.0')]).++cnf(1086,plain,+ ( equal(op(e3,e2),e0) ),+ inference(rew,[status(thm),theory(equality)],[1077,816]),+ [iquote('0:Rew:1077.0,816.0')]).++cnf(1087,plain,+ ( equal(op(e4,e5),e0) ),+ inference(rew,[status(thm),theory(equality)],[1077,826]),+ [iquote('0:Rew:1077.0,826.0')]).++cnf(1088,plain,+ ( equal(op(e5,e4),e0) ),+ inference(rew,[status(thm),theory(equality)],[1077,828]),+ [iquote('0:Rew:1077.0,828.0')]).++cnf(1094,plain,+ ( ~ equal(op(e0,e4),e0) ),+ inference(rew,[status(thm),theory(equality)],[1077,832]),+ [iquote('0:Rew:1077.0,832.0')]).++cnf(1095,plain,+ ( equal(op(e1,e5),op(e0,e3)) ),+ inference(rew,[status(thm),theory(equality)],[1077,833]),+ [iquote('0:Rew:1077.0,833.0')]).++cnf(1097,plain,+ ( equal(op(e2,e5),op(e0,e1)) ),+ inference(rew,[status(thm),theory(equality)],[1077,835]),+ [iquote('0:Rew:1077.0,835.0')]).++cnf(1098,plain,+ ( equal(op(e1,e2),op(e0,e4)) ),+ inference(rew,[status(thm),theory(equality)],[1077,836]),+ [iquote('0:Rew:1077.0,836.0')]).++cnf(1116,plain,+ ( equal(op(e5,e1),op(e0,e3)) ),+ inference(rew,[status(thm),theory(equality)],[1095,73]),+ [iquote('0:Rew:1095.0,73.0')]).++cnf(1171,plain,+ ( equal(op(e5,e2),op(e0,e1)) ),+ inference(rew,[status(thm),theory(equality)],[1097,77]),+ [iquote('0:Rew:1097.0,77.0')]).++cnf(1187,plain,+ ( equal(op(e2,e1),op(e0,e4)) ),+ inference(rew,[status(thm),theory(equality)],[1098,70]),+ [iquote('0:Rew:1098.0,70.0')]).++cnf(1192,plain,+ ( equal(op(e3,e5),op(e0,e4)) ),+ inference(rew,[status(thm),theory(equality)],[1098,794]),+ [iquote('0:Rew:1098.0,794.0')]).++cnf(1194,plain,+ ( equal(op(e5,e3),op(e0,e4)) ),+ inference(rew,[status(thm),theory(equality)],[1098,795]),+ [iquote('0:Rew:1098.0,795.0')]).++cnf(1261,plain,+ ( equal(op(e0,e4),e0)+ | equal(op(e0,e4),e1)+ | equal(op(e0,e4),e2)+ | equal(op(e0,e4),e3)+ | equal(op(e0,e4),e4)+ | equal(op(e0,e4),e5) ),+ inference(rew,[status(thm),theory(equality)],[1194,523]),+ [iquote('0:Rew:1194.0,523.5,1194.0,523.4,1194.0,523.3,1194.0,523.2,1194.0,523.1,1194.0,523.0')]).++cnf(1262,plain,+ ( equal(op(e0,e4),e4) ),+ inference(mrr,[status(thm)],[1261,1094,587,686,586,697]),+ [iquote('0:MRR:1261.0,1261.1,1261.2,1261.3,1261.5,1094.0,587.0,686.0,586.0,697.0')]).++cnf(1263,plain,+ ( equal(op(e4,e0),e4) ),+ inference(rew,[status(thm),theory(equality)],[1262,67]),+ [iquote('0:Rew:1262.0,67.0')]).++cnf(1273,plain,+ ( equal(op(e4,e4),op(e0,e3)) ),+ inference(rew,[status(thm),theory(equality)],[1262,790]),+ [iquote('0:Rew:1262.0,790.0')]).++cnf(1275,plain,+ ( equal(op(e4,e3),op(e0,e1)) ),+ inference(rew,[status(thm),theory(equality)],[1262,860]),+ [iquote('0:Rew:1262.0,860.0')]).++cnf(1276,plain,+ ( equal(op(e4,e2),op(e0,e5)) ),+ inference(rew,[status(thm),theory(equality)],[1262,861]),+ [iquote('0:Rew:1262.0,861.0')]).++cnf(1277,plain,+ ( equal(op(e4,e1),op(e0,e2)) ),+ inference(rew,[status(thm),theory(equality)],[1262,862]),+ [iquote('0:Rew:1262.0,862.0')]).++cnf(1293,plain,+ ( equal(op(e1,e2),e4) ),+ inference(rew,[status(thm),theory(equality)],[1262,1098]),+ [iquote('0:Rew:1262.0,1098.0')]).++cnf(1294,plain,+ ( equal(op(e2,e1),e4) ),+ inference(rew,[status(thm),theory(equality)],[1262,1187]),+ [iquote('0:Rew:1262.0,1187.0')]).++cnf(1295,plain,+ ( equal(op(e3,e5),e4) ),+ inference(rew,[status(thm),theory(equality)],[1262,1192]),+ [iquote('0:Rew:1262.0,1192.0')]).++cnf(1296,plain,+ ( equal(op(e5,e3),e4) ),+ inference(rew,[status(thm),theory(equality)],[1262,1194]),+ [iquote('0:Rew:1262.0,1194.0')]).++cnf(1300,plain,+ ( equal(op(e0,e3),e3) ),+ inference(rew,[status(thm),theory(equality)],[35,1273]),+ [iquote('0:Rew:35.0,1273.0')]).++cnf(1301,plain,+ ( equal(op(e3,e0),e3) ),+ inference(rew,[status(thm),theory(equality)],[1300,66]),+ [iquote('0:Rew:1300.0,66.0')]).++cnf(1325,plain,+ ( equal(op(e1,e5),e3) ),+ inference(rew,[status(thm),theory(equality)],[1300,1095]),+ [iquote('0:Rew:1300.0,1095.0')]).++cnf(1326,plain,+ ( equal(op(e5,e1),e3) ),+ inference(rew,[status(thm),theory(equality)],[1300,1116]),+ [iquote('0:Rew:1300.0,1116.0')]).++cnf(1332,plain,+ ( equal(op(e0,e1),e1) ),+ inference(rew,[status(thm),theory(equality)],[559,1275]),+ [iquote('0:Rew:559.0,1275.0')]).++cnf(1333,plain,+ ( equal(op(e1,e0),e1) ),+ inference(rew,[status(thm),theory(equality)],[1332,64]),+ [iquote('0:Rew:1332.0,64.0')]).++cnf(1351,plain,+ ( equal(op(e2,e5),e1) ),+ inference(rew,[status(thm),theory(equality)],[1332,1097]),+ [iquote('0:Rew:1332.0,1097.0')]).++cnf(1352,plain,+ ( equal(op(e5,e2),e1) ),+ inference(rew,[status(thm),theory(equality)],[1332,1171]),+ [iquote('0:Rew:1332.0,1171.0')]).++cnf(1357,plain,+ ( equal(op(e0,e5),e5) ),+ inference(rew,[status(thm),theory(equality)],[693,1276]),+ [iquote('0:Rew:693.0,1276.0')]).++cnf(1358,plain,+ ( equal(op(e5,e0),e5) ),+ inference(rew,[status(thm),theory(equality)],[1357,68]),+ [iquote('0:Rew:1357.0,68.0')]).++cnf(1374,plain,+ ( equal(op(e0,e2),e2) ),+ inference(rew,[status(thm),theory(equality)],[681,1277]),+ [iquote('0:Rew:681.0,1277.0')]).++cnf(1375,plain,+ ( equal(op(e2,e0),e2) ),+ inference(rew,[status(thm),theory(equality)],[1374,65]),+ [iquote('0:Rew:1374.0,65.0')]).++cnf(1454,plain,+ ( ~ equal(op(e1,e0),op(e0,e1))+ | ~ equal(op(e2,e0),op(e0,e2))+ | ~ equal(op(e3,e0),op(e0,e3))+ | ~ equal(op(e4,e0),op(e0,e4))+ | ~ equal(op(e5,e0),op(e0,e5))+ | ~ equal(op(e2,e1),op(e1,e2))+ | ~ equal(op(e3,e1),op(e1,e3))+ | ~ equal(op(e4,e1),op(e1,e4))+ | ~ equal(op(e5,e1),op(e1,e5))+ | ~ equal(op(e3,e2),op(e2,e3))+ | ~ equal(op(e4,e2),op(e2,e4))+ | ~ equal(op(e5,e2),op(e2,e5))+ | ~ equal(op(e4,e3),op(e3,e4))+ | ~ equal(op(e5,e3),op(e3,e5))+ | ~ equal(op(e5,e4),op(e4,e5)) ),+ inference(obv,[status(thm),theory(equality)],[557]),+ [iquote('0:Obv:557.20')]).++cnf(1455,plain,+ ( ~ equal(e1,e1)+ | ~ equal(e2,e2)+ | ~ equal(e3,e3)+ | ~ equal(e4,e4)+ | ~ equal(e5,e5)+ | ~ equal(e4,e4)+ | ~ equal(e5,e5)+ | ~ equal(e2,e2)+ | ~ equal(e3,e3)+ | ~ equal(e0,e0)+ | ~ equal(e5,e5)+ | ~ equal(e1,e1)+ | ~ equal(e1,e1)+ | ~ equal(e4,e4)+ | ~ equal(e0,e0) ),+ inference(rew,[status(thm),theory(equality)],[1088,1454,1087,1296,1295,559,558,1352,1351,693,692,1086,1083,1326,1325,681,680,778,777,1294,1293,1358,1357,1263,1262,1301,1300,1375,1374,1333,1332]),+ [iquote('0:Rew:1088.0,1454.14,1087.0,1454.14,1296.0,1454.13,1295.0,1454.13,559.0,1454.12,558.0,1454.12,1352.0,1454.11,1351.0,1454.11,693.0,1454.10,692.0,1454.10,1086.0,1454.9,1083.0,1454.9,1326.0,1454.8,1325.0,1454.8,681.0,1454.7,680.0,1454.7,778.0,1454.6,777.0,1454.6,1294.0,1454.5,1293.0,1454.5,1358.0,1454.4,1357.0,1454.4,1263.0,1454.3,1262.0,1454.3,1301.0,1454.2,1300.0,1454.2,1375.0,1454.1,1374.0,1454.1,1333.0,1454.0,1332.0,1454.0')]).++cnf(1456,plain,+ ( $false ),+ inference(obv,[status(thm),theory(equality)],[1455]),+ [iquote('0:Obv:1455.14')]).+%------------------------------------------------------------------------------+%----ORIGINAL SYSTEM OUTPUT+% 0.00/0.03 % Problem : ALG028+1 : TPTP v6.4.0. Released v2.7.0.+% 0.00/0.04 % Command : run_spass %d %s+% 0.03/0.23 % Computer : n018.star.cs.uiowa.edu+% 0.03/0.23 % Model : x86_64 x86_64+% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz+% 0.03/0.23 % Memory : 32218.625MB+% 0.03/0.23 % OS : Linux 3.10.0-514.6.1.el7.x86_64+% 0.03/0.23 % CPULimit : 300+% 0.03/0.23 % DateTime : Fri Jul 14 10:53:22 CDT 2017+% 0.03/0.23 % CPUTime : +% 0.06/0.41 +% 0.06/0.41 SPASS V 3.9 +% 0.06/0.41 SPASS beiseite: Proof found.+% 0.06/0.41 % SZS status Theorem+% 0.06/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p +% 0.06/0.41 SPASS derived 425 clauses, backtracked 0 clauses, performed 0 splits and kept 560 clauses.+% 0.06/0.41 SPASS allocated 87017 KBytes.+% 0.06/0.41 SPASS spent 0:00:00.17 on the problem.+% 0.06/0.41 0:00:00.03 for the input.+% 0.06/0.41 0:00:00.09 for the FLOTTER CNF translation.+% 0.06/0.41 0:00:00.00 for inferences.+% 0.06/0.41 0:00:00.00 for the backtracking.+% 0.06/0.41 0:00:00.04 for the reduction.+% 0.06/0.41 +% 0.06/0.41 +% 0.06/0.41 Here is a proof with depth 0, length 126 :+% 0.06/0.41 % SZS output start Refutation+% 0.06/0.41 35[0:Inp] || -> equal(op(e4,e4),e3)**.+% 0.06/0.41 64[0:Inp] || -> equal(op(e1,e0),op(e0,e1))**.+% 0.06/0.41 65[0:Inp] || -> equal(op(e2,e0),op(e0,e2))**.+% 0.06/0.41 66[0:Inp] || -> equal(op(e3,e0),op(e0,e3))**.+% 0.06/0.41 67[0:Inp] || -> equal(op(e4,e0),op(e0,e4))**.+% 0.06/0.41 68[0:Inp] || -> equal(op(e5,e0),op(e0,e5))**.+% 0.06/0.41 70[0:Inp] || -> equal(op(e2,e1),op(e1,e2))**.+% 0.06/0.41 71[0:Inp] || -> equal(op(e3,e1),op(e1,e3))**.+% 0.06/0.41 72[0:Inp] || -> equal(op(e4,e1),op(e1,e4))**.+% 0.06/0.41 73[0:Inp] || -> equal(op(e5,e1),op(e1,e5))**.+% 0.06/0.41 75[0:Inp] || -> equal(op(e3,e2),op(e2,e3))**.+% 0.06/0.41 76[0:Inp] || -> equal(op(e4,e2),op(e2,e4))**.+% 0.06/0.41 77[0:Inp] || -> equal(op(e5,e2),op(e2,e5))**.+% 0.06/0.41 79[0:Inp] || -> equal(op(e4,e3),op(e3,e4))**.+% 0.06/0.41 80[0:Inp] || -> equal(op(e5,e3),op(e3,e5))**.+% 0.06/0.41 82[0:Inp] || -> equal(op(e5,e4),op(e4,e5))**.+% 0.06/0.41 84[0:Inp] || -> equal(op(op(e4,e4),e4),e1)**.+% 0.06/0.41 235[0:Inp] || equal(op(e4,e1),op(e4,e0))** -> .+% 0.06/0.41 236[0:Inp] || equal(op(e4,e2),op(e4,e0))** -> .+% 0.06/0.41 237[0:Inp] || equal(op(e4,e3),op(e4,e0))** -> .+% 0.06/0.41 238[0:Inp] || equal(op(e4,e4),op(e4,e0))** -> .+% 0.06/0.41 239[0:Inp] || equal(op(e4,e5),op(e4,e0))** -> .+% 0.06/0.41 295[0:Inp] || -> equal(op(op(op(e4,e4),e4),e4),e2)**.+% 0.06/0.41 441[0:Inp] || -> equal(op(op(e4,e0),e1),op(e4,op(e0,e1)))**.+% 0.06/0.41 442[0:Inp] || -> equal(op(op(e4,e0),e2),op(e4,op(e0,e2)))**.+% 0.06/0.41 443[0:Inp] || -> equal(op(op(e4,e0),e3),op(e4,op(e0,e3)))**.+% 0.06/0.41 446[0:Inp] || -> equal(op(op(e4,e1),e0),op(e4,op(e1,e0)))**.+% 0.06/0.41 452[0:Inp] || -> equal(op(op(e4,e2),e0),op(e4,op(e2,e0)))**.+% 0.06/0.41 458[0:Inp] || -> equal(op(op(e4,e3),e0),op(e4,op(e3,e0)))**.+% 0.06/0.41 459[0:Inp] || -> equal(op(op(e4,e3),e1),op(e4,op(e3,e1)))**.+% 0.06/0.41 460[0:Inp] || -> equal(op(op(e4,e3),e2),op(e4,op(e3,e2)))**.+% 0.06/0.41 464[0:Inp] || -> equal(op(op(e4,e4),e0),op(e4,op(e4,e0)))**.+% 0.06/0.41 465[0:Inp] || -> equal(op(op(e4,e4),e1),op(e4,op(e4,e1)))**.+% 0.06/0.41 466[0:Inp] || -> equal(op(op(e4,e4),e2),op(e4,op(e4,e2)))**.+% 0.06/0.41 474[0:Inp] || -> equal(op(op(e4,e5),e4),op(e4,op(e5,e4)))**.+% 0.06/0.41 501[0:Inp] || -> equal(op(op(e5,e4),e1),op(e5,op(e4,e1)))**.+% 0.06/0.41 503[0:Inp] || -> equal(op(op(e5,e4),e3),op(e5,op(e4,e3)))**.+% 0.06/0.41 504[0:Inp] || -> equal(op(op(e5,e4),e4),op(e5,op(e4,e4)))**.+% 0.06/0.41 512[0:Inp] || -> equal(op(op(op(op(e4,e4),e4),e4),e4),e5)**.+% 0.06/0.41 513[0:Inp] || -> equal(op(op(op(op(e4,e4),e4),e4),op(e4,e4)),e0)**.+% 0.06/0.41 523[0:Inp] || -> equal(op(e5,e3),e0) equal(op(e5,e3),e1) equal(op(e5,e3),e2) equal(op(e5,e3),e3) equal(op(e5,e3),e4) equal(op(e5,e3),e5)**.+% 0.06/0.41 557[0:Inp] || equal(op(e0,e0),op(e0,e0)) equal(op(e1,e0),op(e0,e1)) equal(op(e2,e0),op(e0,e2)) equal(op(e3,e0),op(e0,e3)) equal(op(e4,e0),op(e0,e4)) equal(op(e5,e0),op(e0,e5)) equal(op(e1,e1),op(e1,e1)) equal(op(e2,e1),op(e1,e2)) equal(op(e3,e1),op(e1,e3)) equal(op(e4,e1),op(e1,e4)) equal(op(e5,e1),op(e1,e5)) equal(op(e2,e2),op(e2,e2)) equal(op(e3,e2),op(e2,e3)) equal(op(e4,e2),op(e2,e4)) equal(op(e5,e2),op(e2,e5)) equal(op(e3,e3),op(e3,e3)) equal(op(e4,e3),op(e3,e4)) equal(op(e5,e3),op(e3,e5)) equal(op(e4,e4),op(e4,e4)) equal(op(e5,e4),op(e4,e5)) equal(op(e5,e5),op(e5,e5))* -> .+% 0.06/0.41 558[0:Rew:35.0,84.0] || -> equal(op(e3,e4),e1)**.+% 0.06/0.41 559[0:Rew:558.0,79.0] || -> equal(op(e4,e3),e1)**.+% 0.06/0.41 585[0:Rew:67.0,239.0] || equal(op(e4,e5),op(e0,e4))** -> .+% 0.06/0.41 586[0:Rew:35.0,238.0,67.0,238.0] || equal(op(e0,e4),e3)** -> .+% 0.06/0.41 587[0:Rew:559.0,237.0,67.0,237.0] || equal(op(e0,e4),e1)** -> .+% 0.06/0.41 588[0:Rew:76.0,236.0,67.0,236.0] || equal(op(e2,e4),op(e0,e4))** -> .+% 0.06/0.41 589[0:Rew:72.0,235.0,67.0,235.0] || equal(op(e1,e4),op(e0,e4))** -> .+% 0.06/0.41 680[0:Rew:558.0,295.0,35.0,295.0] || -> equal(op(e1,e4),e2)**.+% 0.06/0.41 681[0:Rew:680.0,72.0] || -> equal(op(e4,e1),e2)**.+% 0.06/0.41 686[0:Rew:680.0,589.0] || equal(op(e0,e4),e2)** -> .+% 0.06/0.41 692[0:Rew:680.0,512.0,558.0,512.0,35.0,512.0] || -> equal(op(e2,e4),e5)**.+% 0.06/0.41 693[0:Rew:692.0,76.0] || -> equal(op(e4,e2),e5)**.+% 0.06/0.41 697[0:Rew:692.0,588.0] || equal(op(e0,e4),e5)** -> .+% 0.06/0.41 710[0:Rew:82.0,504.0,80.0,504.0,35.0,504.0] || -> equal(op(op(e4,e5),e4),op(e3,e5))**.+% 0.06/0.41 711[0:Rew:82.0,503.0,73.0,503.0,559.0,503.0] || -> equal(op(op(e4,e5),e3),op(e1,e5))**.+% 0.06/0.41 713[0:Rew:82.0,501.0,77.0,501.0,681.0,501.0] || -> equal(op(op(e4,e5),e1),op(e2,e5))**.+% 0.06/0.41 742[0:Rew:710.0,474.0,82.0,474.0] || -> equal(op(e4,op(e4,e5)),op(e3,e5))**.+% 0.06/0.41 759[0:Rew:75.0,466.0,35.0,466.0,693.0,466.0] || -> equal(op(e4,e5),op(e2,e3))**.+% 0.06/0.41 760[0:Rew:759.0,82.0] || -> equal(op(e5,e4),op(e2,e3))**.+% 0.06/0.41 768[0:Rew:759.0,585.0] || equal(op(e2,e3),op(e0,e4))** -> .+% 0.06/0.41 771[0:Rew:759.0,710.0] || -> equal(op(op(e2,e3),e4),op(e3,e5))**.+% 0.06/0.41 772[0:Rew:759.0,711.0] || -> equal(op(op(e2,e3),e3),op(e1,e5))**.+% 0.06/0.41 774[0:Rew:759.0,713.0] || -> equal(op(op(e2,e3),e1),op(e2,e5))**.+% 0.06/0.41 776[0:Rew:759.0,742.0] || -> equal(op(e4,op(e2,e3)),op(e3,e5))**.+% 0.06/0.41 777[0:Rew:71.0,465.0,35.0,465.0,693.0,465.0,681.0,465.0] || -> equal(op(e1,e3),e5)**.+% 0.06/0.41 778[0:Rew:777.0,71.0] || -> equal(op(e3,e1),e5)**.+% 0.06/0.41 790[0:Rew:66.0,464.0,35.0,464.0,67.0,464.0] || -> equal(op(e4,op(e0,e4)),op(e0,e3))**.+% 0.06/0.41 794[0:Rew:559.0,460.0,776.0,460.0,75.0,460.0] || -> equal(op(e3,e5),op(e1,e2))**.+% 0.06/0.41 795[0:Rew:794.0,80.0] || -> equal(op(e5,e3),op(e1,e2))**.+% 0.06/0.41 811[0:Rew:794.0,771.0] || -> equal(op(op(e2,e3),e4),op(e1,e2))**.+% 0.06/0.41 815[0:Rew:559.0,459.0,759.0,459.0,778.0,459.0] || -> equal(op(e2,e3),op(e1,e1))**.+% 0.06/0.41 816[0:Rew:815.0,75.0] || -> equal(op(e3,e2),op(e1,e1))**.+% 0.06/0.41 826[0:Rew:815.0,759.0] || -> equal(op(e4,e5),op(e1,e1))**.+% 0.06/0.41 828[0:Rew:815.0,760.0] || -> equal(op(e5,e4),op(e1,e1))**.+% 0.06/0.41 832[0:Rew:815.0,768.0] || equal(op(e1,e1),op(e0,e4))** -> .+% 0.06/0.41 833[0:Rew:815.0,772.0] || -> equal(op(op(e1,e1),e3),op(e1,e5))**.+% 0.06/0.41 835[0:Rew:815.0,774.0] || -> equal(op(op(e1,e1),e1),op(e2,e5))**.+% 0.06/0.41 836[0:Rew:815.0,811.0] || -> equal(op(op(e1,e1),e4),op(e1,e2))**.+% 0.06/0.41 838[0:Rew:64.0,458.0,559.0,458.0,66.0,458.0] || -> equal(op(e4,op(e0,e3)),op(e0,e1))**.+% 0.06/0.41 844[0:Rew:68.0,452.0,693.0,452.0,65.0,452.0] || -> equal(op(e4,op(e0,e2)),op(e0,e5))**.+% 0.06/0.41 857[0:Rew:65.0,446.0,681.0,446.0,64.0,446.0] || -> equal(op(e4,op(e0,e1)),op(e0,e2))**.+% 0.06/0.41 860[0:Rew:67.0,443.0,838.0,443.0] || -> equal(op(op(e0,e4),e3),op(e0,e1))**.+% 0.06/0.41 861[0:Rew:67.0,442.0,844.0,442.0] || -> equal(op(op(e0,e4),e2),op(e0,e5))**.+% 0.06/0.41 862[0:Rew:67.0,441.0,857.0,441.0] || -> equal(op(op(e0,e4),e1),op(e0,e2))**.+% 0.06/0.41 1077[0:Rew:815.0,513.0,680.0,513.0,558.0,513.0,35.0,513.0] || -> equal(op(e1,e1),e0)**.+% 0.06/0.41 1083[0:Rew:1077.0,815.0] || -> equal(op(e2,e3),e0)**.+% 0.06/0.41 1086[0:Rew:1077.0,816.0] || -> equal(op(e3,e2),e0)**.+% 0.06/0.41 1087[0:Rew:1077.0,826.0] || -> equal(op(e4,e5),e0)**.+% 0.06/0.41 1088[0:Rew:1077.0,828.0] || -> equal(op(e5,e4),e0)**.+% 0.06/0.41 1094[0:Rew:1077.0,832.0] || equal(op(e0,e4),e0)** -> .+% 0.06/0.41 1095[0:Rew:1077.0,833.0] || -> equal(op(e1,e5),op(e0,e3))**.+% 0.06/0.41 1097[0:Rew:1077.0,835.0] || -> equal(op(e2,e5),op(e0,e1))**.+% 0.06/0.41 1098[0:Rew:1077.0,836.0] || -> equal(op(e1,e2),op(e0,e4))**.+% 0.06/0.41 1116[0:Rew:1095.0,73.0] || -> equal(op(e5,e1),op(e0,e3))**.+% 0.06/0.41 1171[0:Rew:1097.0,77.0] || -> equal(op(e5,e2),op(e0,e1))**.+% 0.06/0.41 1187[0:Rew:1098.0,70.0] || -> equal(op(e2,e1),op(e0,e4))**.+% 0.06/0.41 1192[0:Rew:1098.0,794.0] || -> equal(op(e3,e5),op(e0,e4))**.+% 0.06/0.41 1194[0:Rew:1098.0,795.0] || -> equal(op(e5,e3),op(e0,e4))**.+% 0.06/0.41 1261[0:Rew:1194.0,523.5,1194.0,523.4,1194.0,523.3,1194.0,523.2,1194.0,523.1,1194.0,523.0] || -> equal(op(e0,e4),e0) equal(op(e0,e4),e1) equal(op(e0,e4),e2) equal(op(e0,e4),e3) equal(op(e0,e4),e4) equal(op(e0,e4),e5)**.+% 0.06/0.41 1262[0:MRR:1261.0,1261.1,1261.2,1261.3,1261.5,1094.0,587.0,686.0,586.0,697.0] || -> equal(op(e0,e4),e4)**.+% 0.06/0.41 1263[0:Rew:1262.0,67.0] || -> equal(op(e4,e0),e4)**.+% 0.06/0.41 1273[0:Rew:1262.0,790.0] || -> equal(op(e4,e4),op(e0,e3))**.+% 0.06/0.41 1275[0:Rew:1262.0,860.0] || -> equal(op(e4,e3),op(e0,e1))**.+% 0.06/0.41 1276[0:Rew:1262.0,861.0] || -> equal(op(e4,e2),op(e0,e5))**.+% 0.06/0.41 1277[0:Rew:1262.0,862.0] || -> equal(op(e4,e1),op(e0,e2))**.+% 0.06/0.41 1293[0:Rew:1262.0,1098.0] || -> equal(op(e1,e2),e4)**.+% 0.06/0.41 1294[0:Rew:1262.0,1187.0] || -> equal(op(e2,e1),e4)**.+% 0.06/0.41 1295[0:Rew:1262.0,1192.0] || -> equal(op(e3,e5),e4)**.+% 0.06/0.41 1296[0:Rew:1262.0,1194.0] || -> equal(op(e5,e3),e4)**.+% 0.06/0.41 1300[0:Rew:35.0,1273.0] || -> equal(op(e0,e3),e3)**.+% 0.06/0.42 1301[0:Rew:1300.0,66.0] || -> equal(op(e3,e0),e3)**.+% 0.06/0.42 1325[0:Rew:1300.0,1095.0] || -> equal(op(e1,e5),e3)**.+% 0.06/0.42 1326[0:Rew:1300.0,1116.0] || -> equal(op(e5,e1),e3)**.+% 0.06/0.42 1332[0:Rew:559.0,1275.0] || -> equal(op(e0,e1),e1)**.+% 0.06/0.42 1333[0:Rew:1332.0,64.0] || -> equal(op(e1,e0),e1)**.+% 0.06/0.42 1351[0:Rew:1332.0,1097.0] || -> equal(op(e2,e5),e1)**.+% 0.06/0.42 1352[0:Rew:1332.0,1171.0] || -> equal(op(e5,e2),e1)**.+% 0.06/0.42 1357[0:Rew:693.0,1276.0] || -> equal(op(e0,e5),e5)**.+% 0.06/0.42 1358[0:Rew:1357.0,68.0] || -> equal(op(e5,e0),e5)**.+% 0.06/0.42 1374[0:Rew:681.0,1277.0] || -> equal(op(e0,e2),e2)**.+% 0.06/0.42 1375[0:Rew:1374.0,65.0] || -> equal(op(e2,e0),e2)**.+% 0.06/0.42 1454[0:Obv:557.20] || equal(op(e1,e0),op(e0,e1)) equal(op(e2,e0),op(e0,e2)) equal(op(e3,e0),op(e0,e3)) equal(op(e4,e0),op(e0,e4)) equal(op(e5,e0),op(e0,e5)) equal(op(e2,e1),op(e1,e2)) equal(op(e3,e1),op(e1,e3)) equal(op(e4,e1),op(e1,e4)) equal(op(e5,e1),op(e1,e5)) equal(op(e3,e2),op(e2,e3)) equal(op(e4,e2),op(e2,e4)) equal(op(e5,e2),op(e2,e5)) equal(op(e4,e3),op(e3,e4)) equal(op(e5,e3),op(e3,e5)) equal(op(e5,e4),op(e4,e5))** -> .+% 0.06/0.42 1455[0:Rew:1088.0,1454.14,1087.0,1454.14,1296.0,1454.13,1295.0,1454.13,559.0,1454.12,558.0,1454.12,1352.0,1454.11,1351.0,1454.11,693.0,1454.10,692.0,1454.10,1086.0,1454.9,1083.0,1454.9,1326.0,1454.8,1325.0,1454.8,681.0,1454.7,680.0,1454.7,778.0,1454.6,777.0,1454.6,1294.0,1454.5,1293.0,1454.5,1358.0,1454.4,1357.0,1454.4,1263.0,1454.3,1262.0,1454.3,1301.0,1454.2,1300.0,1454.2,1375.0,1454.1,1374.0,1454.1,1333.0,1454.0,1332.0,1454.0] || equal(e1,e1) equal(e2,e2) equal(e3,e3) equal(e4,e4) equal(e5,e5)* equal(e4,e4) equal(e5,e5)* equal(e2,e2) equal(e3,e3) equal(e0,e0) equal(e5,e5)* equal(e1,e1) equal(e1,e1) equal(e4,e4) equal(e0,e0) -> .+% 0.06/0.42 1456[0:Obv:1455.14] || -> .+% 0.06/0.42 % SZS output end Refutation+% 0.06/0.42 Formulae used in the proof : ax11 co1 ax9 ax2 ax1+% 0.06/0.42 +%------------------------------------------------------------------------------
+ test-data/tstp/fof/AGT004+2---Metis---2.4.THM-CRf.s view
@@ -0,0 +1,234 @@+%------------------------------------------------------------------------------+% File : Metis---2.4+% Problem : AGT004+2 : TPTP v7.1.0. Bugfixed v3.1.0.+% Transform : none+% Format : tptp:raw+% Command : metis --show proof --show saturation %s++% Computer : n065.star.cs.uiowa.edu+% Model : x86_64 x86_64+% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz+% Memory : 32218.625MB+% OS : Linux 3.10.0-693.2.2.el7.x86_64+% CPULimit : 300s+% DateTime : Wed Aug 29 14:06:30 EDT 2018++% Result : Theorem 0.50s+% Output : CNFRefutation 0.50s+% Verified : +% Statistics : Number of formulae : 17 ( 17 expanded)+% Number of clauses : 6 ( 6 expanded)+% Number of leaves : 3 ( 3 expanded)+% Depth : 8+% Number of atoms : 38 ( 38 expanded)+% Number of equality atoms : 0 ( 0 expanded)+% Maximal formula depth : 12 ( 4 average)+% Maximal clause size : 10 ( 1 average)+% Maximal term depth : 1 ( 1 average)++% Comments : +%------------------------------------------------------------------------------+fof(a1_1,axiom,(+ ! [A,C,N,L] :+ ( accept_team(A,L,C,N)+ <=> ( accept_city(A,C)+ & accept_leader(A,L)+ & accept_number(A,N) ) ) )).++fof(deduced_13,axiom,(+ ~ accept_city(countryamedicalorganization,coastvillage) )).++fof(query_4,conjecture,(+ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) )).++fof(subgoal_0,plain,(+ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),+ inference(strip,[],[query_4])).++fof(negate_0_0,plain,(+ ~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),+ inference(negate,[],[subgoal_0])).++fof(normalize_0_0,plain,(+ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),+ inference(canonicalize,[],[negate_0_0])).++fof(normalize_0_1,plain,(+ ! [A,C,L,N] :+ ( ~ accept_team(A,L,C,N)+ <=> ( ~ accept_city(A,C)+ | ~ accept_leader(A,L)+ | ~ accept_number(A,N) ) ) ),+ inference(canonicalize,[],[a1_1])).++fof(normalize_0_2,plain,(+ ! [A,C,L,N] :+ ( ~ accept_team(A,L,C,N)+ <=> ( ~ accept_city(A,C)+ | ~ accept_leader(A,L)+ | ~ accept_number(A,N) ) ) ),+ inference(specialize,[],[normalize_0_1])).++fof(normalize_0_3,plain,(+ ! [A,C,L,N] :+ ( ( ~ accept_team(A,L,C,N)+ | accept_city(A,C) )+ & ( ~ accept_team(A,L,C,N)+ | accept_leader(A,L) )+ & ( ~ accept_team(A,L,C,N)+ | accept_number(A,N) )+ & ( ~ accept_city(A,C)+ | ~ accept_leader(A,L)+ | ~ accept_number(A,N)+ | accept_team(A,L,C,N) ) ) ),+ inference(clausify,[],[normalize_0_2])).++fof(normalize_0_4,plain,(+ ! [A,C,L,N] :+ ( ~ accept_team(A,L,C,N)+ | accept_city(A,C) ) ),+ inference(conjunct,[],[normalize_0_3])).++fof(normalize_0_5,plain,(+ ~ accept_city(countryamedicalorganization,coastvillage) ),+ inference(canonicalize,[],[deduced_13])).++cnf(refute_0_0,plain,+ ( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),+ inference(canonicalize,[],[normalize_0_0])).++cnf(refute_0_1,plain,+ ( ~ accept_team(A,L,C,N)+ | accept_city(A,C) ),+ inference(canonicalize,[],[normalize_0_4])).++cnf(refute_0_2,plain,+ ( ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)+ | accept_city(countryamedicalorganization,coastvillage) ),+ inference(subst,[],[refute_0_1:[bind(A,$fot(countryamedicalorganization)),bind(C,$fot(coastvillage)),bind(L,$fot(countryahumanitarianorganization)),bind(N,$fot(n5))]])).++cnf(refute_0_3,plain,+ ( accept_city(countryamedicalorganization,coastvillage) ),+ inference(resolve,[$cnf(accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5))],[refute_0_0,refute_0_2])).++cnf(refute_0_4,plain,+ ( ~ accept_city(countryamedicalorganization,coastvillage) ),+ inference(canonicalize,[],[normalize_0_5])).++cnf(refute_0_5,plain,+ ( $false ),+ inference(resolve,[$cnf(accept_city(countryamedicalorganization,coastvillage))],[refute_0_3,refute_0_4])).+%------------------------------------------------------------------------------+%----ORIGINAL SYSTEM OUTPUT+% 0.00/0.04 % Problem : AGT004+2 : TPTP v7.1.0. Bugfixed v3.1.0.+% 0.00/0.04 % Command : metis --show proof --show saturation %s+% 0.03/0.23 % Computer : n065.star.cs.uiowa.edu+% 0.03/0.23 % Model : x86_64 x86_64+% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz+% 0.03/0.23 % Memory : 32218.625MB+% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64+% 0.03/0.23 % CPULimit : 300+% 0.03/0.23 % DateTime : Tue Aug 28 09:30:41 CDT 2018+% 0.03/0.23 % CPUTime : +% 0.03/0.24 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+% 0.50/0.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p+% 0.50/0.68 +% 0.50/0.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p+% 0.50/0.68 fof(a1_1, axiom,+% 0.50/0.68 (! [A, C, N, L] :+% 0.50/0.68 (accept_team(A, L, C, N) <=>+% 0.50/0.68 (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))))).+% 0.50/0.68 +% 0.50/0.68 fof(deduced_13, axiom,+% 0.50/0.68 (~ accept_city(countryamedicalorganization, coastvillage))).+% 0.50/0.68 +% 0.50/0.68 fof(query_4, conjecture,+% 0.50/0.68 (~+% 0.50/0.68 accept_team(countryamedicalorganization,+% 0.50/0.68 countryahumanitarianorganization, coastvillage, n5))).+% 0.50/0.68 +% 0.50/0.68 fof(subgoal_0, plain,+% 0.50/0.68 (~+% 0.50/0.68 accept_team(countryamedicalorganization,+% 0.50/0.68 countryahumanitarianorganization, coastvillage, n5)),+% 0.50/0.68 inference(strip, [], [query_4])).+% 0.50/0.68 +% 0.50/0.68 fof(negate_0_0, plain,+% 0.50/0.68 (~ ~+% 0.50/0.68 accept_team(countryamedicalorganization,+% 0.50/0.68 countryahumanitarianorganization, coastvillage, n5)),+% 0.50/0.68 inference(negate, [], [subgoal_0])).+% 0.50/0.68 +% 0.50/0.68 fof(normalize_0_0, plain,+% 0.50/0.68 (accept_team(countryamedicalorganization,+% 0.50/0.68 countryahumanitarianorganization, coastvillage, n5)),+% 0.50/0.68 inference(canonicalize, [], [negate_0_0])).+% 0.50/0.68 +% 0.50/0.68 fof(normalize_0_1, plain,+% 0.50/0.68 (! [A, C, L, N] :+% 0.50/0.68 (~ accept_team(A, L, C, N) <=>+% 0.50/0.68 (~ accept_city(A, C) | ~ accept_leader(A, L) |+% 0.50/0.68 ~ accept_number(A, N)))), inference(canonicalize, [], [a1_1])).+% 0.50/0.68 +% 0.50/0.68 fof(normalize_0_2, plain,+% 0.50/0.68 (! [A, C, L, N] :+% 0.50/0.68 (~ accept_team(A, L, C, N) <=>+% 0.50/0.68 (~ accept_city(A, C) | ~ accept_leader(A, L) |+% 0.50/0.68 ~ accept_number(A, N)))),+% 0.50/0.68 inference(specialize, [], [normalize_0_1])).+% 0.50/0.68 +% 0.50/0.68 fof(normalize_0_3, plain,+% 0.50/0.68 (! [A, C, L, N] :+% 0.50/0.68 ((~ accept_team(A, L, C, N) | accept_city(A, C)) &+% 0.50/0.68 (~ accept_team(A, L, C, N) | accept_leader(A, L)) &+% 0.50/0.68 (~ accept_team(A, L, C, N) | accept_number(A, N)) &+% 0.50/0.68 (~ accept_city(A, C) | ~ accept_leader(A, L) |+% 0.50/0.68 ~ accept_number(A, N) | accept_team(A, L, C, N)))),+% 0.50/0.68 inference(clausify, [], [normalize_0_2])).+% 0.50/0.68 +% 0.50/0.68 fof(normalize_0_4, plain,+% 0.50/0.68 (! [A, C, L, N] : (~ accept_team(A, L, C, N) | accept_city(A, C))),+% 0.50/0.68 inference(conjunct, [], [normalize_0_3])).+% 0.50/0.68 +% 0.50/0.68 fof(normalize_0_5, plain,+% 0.50/0.68 (~ accept_city(countryamedicalorganization, coastvillage)),+% 0.50/0.68 inference(canonicalize, [], [deduced_13])).+% 0.50/0.68 +% 0.50/0.68 cnf(refute_0_0, plain,+% 0.50/0.68 (accept_team(countryamedicalorganization,+% 0.50/0.68 countryahumanitarianorganization, coastvillage, n5)),+% 0.50/0.68 inference(canonicalize, [], [normalize_0_0])).+% 0.50/0.68 +% 0.50/0.68 cnf(refute_0_1, plain, (~ accept_team(A, L, C, N) | accept_city(A, C)),+% 0.50/0.68 inference(canonicalize, [], [normalize_0_4])).+% 0.50/0.68 +% 0.50/0.68 cnf(refute_0_2, plain,+% 0.50/0.68 (~+% 0.50/0.68 accept_team(countryamedicalorganization,+% 0.50/0.68 countryahumanitarianorganization, coastvillage, n5) |+% 0.50/0.68 accept_city(countryamedicalorganization, coastvillage)),+% 0.50/0.68 inference(subst, [],+% 0.50/0.68 [refute_0_1 :+% 0.50/0.68 [bind(A, $fot(countryamedicalorganization)),+% 0.50/0.68 bind(C, $fot(coastvillage)),+% 0.50/0.68 bind(L, $fot(countryahumanitarianorganization)),+% 0.50/0.68 bind(N, $fot(n5))]])).+% 0.50/0.68 +% 0.50/0.68 cnf(refute_0_3, plain,+% 0.50/0.68 (accept_city(countryamedicalorganization, coastvillage)),+% 0.50/0.68 inference(resolve,+% 0.50/0.68 [$cnf(accept_team(countryamedicalorganization,+% 0.50/0.68 countryahumanitarianorganization, coastvillage,+% 0.50/0.68 n5))], [refute_0_0, refute_0_2])).+% 0.50/0.68 +% 0.50/0.68 cnf(refute_0_4, plain,+% 0.50/0.68 (~ accept_city(countryamedicalorganization, coastvillage)),+% 0.50/0.68 inference(canonicalize, [], [normalize_0_5])).+% 0.50/0.68 +% 0.50/0.68 cnf(refute_0_5, plain, ($false),+% 0.50/0.68 inference(resolve,+% 0.50/0.68 [$cnf(accept_city(countryamedicalorganization,+% 0.50/0.68 coastvillage))], [refute_0_3, refute_0_4])).+% 0.50/0.68 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p+% 0.50/0.68 +%------------------------------------------------------------------------------
+ test-data/tstp/fof/AGT006+1---Vampire---SAT-4.3.THM-Ref.s view
@@ -0,0 +1,1401 @@+%------------------------------------------------------------------------------+% File : Vampire---SAT-4.3+% Problem : AGT006+1 : TPTP v7.1.0. Bugfixed v3.1.0.+% Transform : none+% Format : tptp:raw+% Command : vampire --mode casc_sat -t %d %s++% Computer : n017.star.cs.uiowa.edu+% Model : x86_64 x86_64+% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz+% Memory : 32218.625MB+% OS : Linux 3.10.0-693.2.2.el7.x86_64+% CPULimit : 300s+% DateTime : Tue Sep 4 10:07:08 EDT 2018++% Result : Theorem 65.97s+% Output : Refutation 65.97s+% Verified : +% Statistics : Number of formulae : 144 ( 273 expanded)+% Number of leaves : 34 ( 74 expanded)+% Depth : 13+% Number of atoms : 372 ( 800 expanded)+% Number of equality atoms : 0 ( 0 expanded)+% Maximal formula depth : 10 ( 4 average)+% Maximal term depth : 4 ( 1 average)++% Comments : +%------------------------------------------------------------------------------+%----WARNING: Vampire---SAT-4.3 format not known, defaulting to TPTP+fof(f1,axiom,(+ ! [X0,X1,X2,X3] :+ ( accept_team(X0,X3,X1,X2)+ <=> ( accept_number(X0,X2)+ & accept_leader(X0,X3)+ & accept_city(X0,X1) ) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_1)).++fof(f3,axiom,(+ ! [X0,X2,X4,X5] :+ ( ( less(X4,X2)+ & accept_population(X0,X5,X2) )+ => accept_population(X0,X5,X4) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_3)).++fof(f4,axiom,(+ ! [X0,X3,X1] :+ ( the_agent_in_all_proposed_teams(X0,X3,X1)+ => ( accept_city(X0,X1)+ & accept_leader(X0,X3) ) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_4)).++fof(f8,axiom,(+ ! [X0] :+ ( ( accept_population(X0,other,n4)+ & accept_population(X0,native,n4)+ & accept_population(X0,muslim,n7)+ & accept_population(X0,christian,n20)+ & accept_population(X0,atheist,n65) )+ <=> accept_city(X0,suffertown) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_1)).++fof(f14,axiom,(+ ! [X0] :+ ( ( accept_population(X0,other,n0)+ & accept_population(X0,native,n85)+ & accept_population(X0,muslim,n0)+ & accept_population(X0,christian,n3)+ & accept_population(X0,atheist,n12) )+ <=> accept_city(X0,coastvillage) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_7)).++fof(f16,axiom,(+ ! [X0] :+ ( ( accept_population(X0,other,n0)+ & accept_population(X0,native,n0)+ & accept_population(X0,muslim,n1)+ & accept_population(X0,christian,n24)+ & accept_population(X0,atheist,n75) )+ <=> accept_city(X0,towna) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_9)).++fof(f19,axiom,(+ ! [X0] :+ ( ( accept_population(X0,other,n1)+ & accept_population(X0,native,n0)+ & accept_population(X0,muslim,n1)+ & accept_population(X0,christian,n20)+ & accept_population(X0,atheist,n78) )+ <=> accept_city(X0,cityb) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_12)).++fof(f20,axiom,(+ ! [X0] :+ ( ( accept_population(X0,other,n5)+ & accept_population(X0,native,n0)+ & accept_population(X0,muslim,n65)+ & accept_population(X0,christian,n0)+ & accept_population(X0,atheist,n30) )+ <=> accept_city(X0,townc) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_13)).++fof(f38,axiom,(+ accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n4) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_18)).++fof(f94,axiom,(+ accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n5) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_74)).++fof(f97,axiom,(+ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townc,n6) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_77)).++fof(f100,axiom,(+ the_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_80)).++fof(f181,axiom,(+ accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n6) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_161)).++fof(f229,axiom,(+ the_agent_in_all_proposed_teams(countrybcivilorganization,sufferterragovernment,towna) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_209)).++fof(f274,axiom,(+ rdn_translate(n4,rdn_pos(rdnn(n4))) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn4)).++fof(f275,axiom,(+ rdn_translate(n5,rdn_pos(rdnn(n5))) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn5)).++fof(f277,axiom,(+ rdn_translate(n7,rdn_pos(rdnn(n7))) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn7)).++fof(f335,axiom,(+ rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn65)).++fof(f340,axiom,(+ rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn70)).++fof(f345,axiom,(+ rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn75)).++fof(f355,axiom,(+ rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn85)).++fof(f531,axiom,(+ rdn_non_zero_digit(rdnn(n6)) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit6)).++fof(f532,axiom,(+ rdn_non_zero_digit(rdnn(n7)) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit7)).++fof(f539,axiom,(+ rdn_positive_less(rdnn(n4),rdnn(n5)) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less45)).++fof(f540,axiom,(+ rdn_positive_less(rdnn(n5),rdnn(n6)) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less56)).++fof(f541,axiom,(+ rdn_positive_less(rdnn(n6),rdnn(n7)) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less67)).++fof(f542,axiom,(+ rdn_positive_less(rdnn(n7),rdnn(n8)) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less78)).++fof(f544,axiom,(+ ! [X6,X7,X8] :+ ( ( rdn_positive_less(rdnn(X7),rdnn(X8))+ & rdn_positive_less(rdnn(X6),rdnn(X7)) )+ => rdn_positive_less(rdnn(X6),rdnn(X8)) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_transitivity)).++fof(f545,axiom,(+ ! [X9,X10,X11,X12] :+ ( rdn_positive_less(X10,X12)+ => rdn_positive_less(rdn(rdnn(X9),X10),rdn(rdnn(X11),X12)) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high)).++fof(f547,axiom,(+ ! [X14,X11,X12] :+ ( rdn_non_zero(X12)+ => rdn_positive_less(rdnn(X14),rdn(rdnn(X11),X12)) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_extra_digits_positive_less)).++fof(f548,axiom,(+ ! [X6] :+ ( rdn_non_zero_digit(rdnn(X6))+ => rdn_non_zero(rdnn(X6)) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_non_zero_by_digit)).++fof(f550,axiom,(+ ! [X6,X7,X15,X16] :+ ( ( rdn_positive_less(X15,X16)+ & rdn_translate(X7,rdn_pos(X16))+ & rdn_translate(X6,rdn_pos(X15)) )+ => less(X6,X7) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos)).++fof(f556,conjecture,(+ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_6)).++fof(f557,negated_conjecture,(+ ~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4) ),+ inference(negated_conjecture,[],[f556])).++fof(f558,plain,(+ ~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4) ),+ inference(flattening,[],[f557])).++fof(f559,plain,(+ ! [X0] :+ ( rdn_non_zero_digit(rdnn(X0))+ => rdn_non_zero(rdnn(X0)) ) ),+ inference(rectify,[],[f548])).++fof(f564,plain,(+ ! [X0,X1,X2] :+ ( rdn_non_zero(X2)+ => rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ) ),+ inference(rectify,[],[f547])).++fof(f566,plain,(+ ! [X0,X1,X2] :+ ( the_agent_in_all_proposed_teams(X0,X1,X2)+ => ( accept_city(X0,X2)+ & accept_leader(X0,X1) ) ) ),+ inference(rectify,[],[f4])).++fof(f571,plain,(+ ! [X0,X1,X2] :+ ( ( rdn_positive_less(rdnn(X1),rdnn(X2))+ & rdn_positive_less(rdnn(X0),rdnn(X1)) )+ => rdn_positive_less(rdnn(X0),rdnn(X2)) ) ),+ inference(rectify,[],[f544])).++fof(f572,plain,(+ ! [X0,X1,X2,X3] :+ ( rdn_positive_less(X1,X3)+ => rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ) ),+ inference(rectify,[],[f545])).++fof(f574,plain,(+ ! [X0,X1,X2,X3] :+ ( ( rdn_positive_less(X2,X3)+ & rdn_translate(X1,rdn_pos(X3))+ & rdn_translate(X0,rdn_pos(X2)) )+ => less(X0,X1) ) ),+ inference(rectify,[],[f550])).++fof(f576,plain,(+ ! [X0,X1,X2,X3] :+ ( ( less(X2,X1)+ & accept_population(X0,X3,X1) )+ => accept_population(X0,X3,X2) ) ),+ inference(rectify,[],[f3])).++fof(f577,plain,(+ ! [X0] :+ ( rdn_non_zero(rdnn(X0))+ | ~ rdn_non_zero_digit(rdnn(X0)) ) ),+ inference(ennf_transformation,[],[f559])).++fof(f580,plain,(+ ! [X0,X1,X2] :+ ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))+ | ~ rdn_non_zero(X2) ) ),+ inference(ennf_transformation,[],[f564])).++fof(f583,plain,(+ ! [X0,X1,X2] :+ ( ( accept_city(X0,X2)+ & accept_leader(X0,X1) )+ | ~ the_agent_in_all_proposed_teams(X0,X1,X2) ) ),+ inference(ennf_transformation,[],[f566])).++fof(f591,plain,(+ ! [X0,X1,X2] :+ ( rdn_positive_less(rdnn(X0),rdnn(X2))+ | ~ rdn_positive_less(rdnn(X1),rdnn(X2))+ | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ) ),+ inference(ennf_transformation,[],[f571])).++fof(f592,plain,(+ ! [X0,X1,X2] :+ ( rdn_positive_less(rdnn(X0),rdnn(X2))+ | ~ rdn_positive_less(rdnn(X1),rdnn(X2))+ | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ) ),+ inference(flattening,[],[f591])).++fof(f593,plain,(+ ! [X0,X1,X2,X3] :+ ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))+ | ~ rdn_positive_less(X1,X3) ) ),+ inference(ennf_transformation,[],[f572])).++fof(f596,plain,(+ ! [X0,X1,X2,X3] :+ ( less(X0,X1)+ | ~ rdn_positive_less(X2,X3)+ | ~ rdn_translate(X1,rdn_pos(X3))+ | ~ rdn_translate(X0,rdn_pos(X2)) ) ),+ inference(ennf_transformation,[],[f574])).++fof(f597,plain,(+ ! [X0,X1,X2,X3] :+ ( less(X0,X1)+ | ~ rdn_positive_less(X2,X3)+ | ~ rdn_translate(X1,rdn_pos(X3))+ | ~ rdn_translate(X0,rdn_pos(X2)) ) ),+ inference(flattening,[],[f596])).++fof(f600,plain,(+ ! [X0,X1,X2,X3] :+ ( accept_population(X0,X3,X2)+ | ~ less(X2,X1)+ | ~ accept_population(X0,X3,X1) ) ),+ inference(ennf_transformation,[],[f576])).++fof(f601,plain,(+ ! [X0,X1,X2,X3] :+ ( accept_population(X0,X3,X2)+ | ~ less(X2,X1)+ | ~ accept_population(X0,X3,X1) ) ),+ inference(flattening,[],[f600])).++fof(f602,plain,(+ ! [X0] :+ ( ( ( accept_population(X0,other,n5)+ & accept_population(X0,native,n0)+ & accept_population(X0,muslim,n65)+ & accept_population(X0,christian,n0)+ & accept_population(X0,atheist,n30) )+ | ~ accept_city(X0,townc) )+ & ( accept_city(X0,townc)+ | ~ accept_population(X0,other,n5)+ | ~ accept_population(X0,native,n0)+ | ~ accept_population(X0,muslim,n65)+ | ~ accept_population(X0,christian,n0)+ | ~ accept_population(X0,atheist,n30) ) ) ),+ inference(nnf_transformation,[],[f20])).++fof(f603,plain,(+ ! [X0] :+ ( ( ( accept_population(X0,other,n5)+ & accept_population(X0,native,n0)+ & accept_population(X0,muslim,n65)+ & accept_population(X0,christian,n0)+ & accept_population(X0,atheist,n30) )+ | ~ accept_city(X0,townc) )+ & ( accept_city(X0,townc)+ | ~ accept_population(X0,other,n5)+ | ~ accept_population(X0,native,n0)+ | ~ accept_population(X0,muslim,n65)+ | ~ accept_population(X0,christian,n0)+ | ~ accept_population(X0,atheist,n30) ) ) ),+ inference(flattening,[],[f602])).++fof(f604,plain,(+ ! [X0] :+ ( ( ( accept_population(X0,other,n1)+ & accept_population(X0,native,n0)+ & accept_population(X0,muslim,n1)+ & accept_population(X0,christian,n20)+ & accept_population(X0,atheist,n78) )+ | ~ accept_city(X0,cityb) )+ & ( accept_city(X0,cityb)+ | ~ accept_population(X0,other,n1)+ | ~ accept_population(X0,native,n0)+ | ~ accept_population(X0,muslim,n1)+ | ~ accept_population(X0,christian,n20)+ | ~ accept_population(X0,atheist,n78) ) ) ),+ inference(nnf_transformation,[],[f19])).++fof(f605,plain,(+ ! [X0] :+ ( ( ( accept_population(X0,other,n1)+ & accept_population(X0,native,n0)+ & accept_population(X0,muslim,n1)+ & accept_population(X0,christian,n20)+ & accept_population(X0,atheist,n78) )+ | ~ accept_city(X0,cityb) )+ & ( accept_city(X0,cityb)+ | ~ accept_population(X0,other,n1)+ | ~ accept_population(X0,native,n0)+ | ~ accept_population(X0,muslim,n1)+ | ~ accept_population(X0,christian,n20)+ | ~ accept_population(X0,atheist,n78) ) ) ),+ inference(flattening,[],[f604])).++fof(f610,plain,(+ ! [X0] :+ ( ( ( accept_population(X0,other,n0)+ & accept_population(X0,native,n0)+ & accept_population(X0,muslim,n1)+ & accept_population(X0,christian,n24)+ & accept_population(X0,atheist,n75) )+ | ~ accept_city(X0,towna) )+ & ( accept_city(X0,towna)+ | ~ accept_population(X0,other,n0)+ | ~ accept_population(X0,native,n0)+ | ~ accept_population(X0,muslim,n1)+ | ~ accept_population(X0,christian,n24)+ | ~ accept_population(X0,atheist,n75) ) ) ),+ inference(nnf_transformation,[],[f16])).++fof(f611,plain,(+ ! [X0] :+ ( ( ( accept_population(X0,other,n0)+ & accept_population(X0,native,n0)+ & accept_population(X0,muslim,n1)+ & accept_population(X0,christian,n24)+ & accept_population(X0,atheist,n75) )+ | ~ accept_city(X0,towna) )+ & ( accept_city(X0,towna)+ | ~ accept_population(X0,other,n0)+ | ~ accept_population(X0,native,n0)+ | ~ accept_population(X0,muslim,n1)+ | ~ accept_population(X0,christian,n24)+ | ~ accept_population(X0,atheist,n75) ) ) ),+ inference(flattening,[],[f610])).++fof(f620,plain,(+ ! [X0] :+ ( ( ( accept_population(X0,other,n0)+ & accept_population(X0,native,n85)+ & accept_population(X0,muslim,n0)+ & accept_population(X0,christian,n3)+ & accept_population(X0,atheist,n12) )+ | ~ accept_city(X0,coastvillage) )+ & ( accept_city(X0,coastvillage)+ | ~ accept_population(X0,other,n0)+ | ~ accept_population(X0,native,n85)+ | ~ accept_population(X0,muslim,n0)+ | ~ accept_population(X0,christian,n3)+ | ~ accept_population(X0,atheist,n12) ) ) ),+ inference(nnf_transformation,[],[f14])).++fof(f621,plain,(+ ! [X0] :+ ( ( ( accept_population(X0,other,n0)+ & accept_population(X0,native,n85)+ & accept_population(X0,muslim,n0)+ & accept_population(X0,christian,n3)+ & accept_population(X0,atheist,n12) )+ | ~ accept_city(X0,coastvillage) )+ & ( accept_city(X0,coastvillage)+ | ~ accept_population(X0,other,n0)+ | ~ accept_population(X0,native,n85)+ | ~ accept_population(X0,muslim,n0)+ | ~ accept_population(X0,christian,n3)+ | ~ accept_population(X0,atheist,n12) ) ) ),+ inference(flattening,[],[f620])).++fof(f626,plain,(+ ! [X0] :+ ( ( ( accept_population(X0,other,n4)+ & accept_population(X0,native,n4)+ & accept_population(X0,muslim,n7)+ & accept_population(X0,christian,n20)+ & accept_population(X0,atheist,n65) )+ | ~ accept_city(X0,suffertown) )+ & ( accept_city(X0,suffertown)+ | ~ accept_population(X0,other,n4)+ | ~ accept_population(X0,native,n4)+ | ~ accept_population(X0,muslim,n7)+ | ~ accept_population(X0,christian,n20)+ | ~ accept_population(X0,atheist,n65) ) ) ),+ inference(nnf_transformation,[],[f8])).++fof(f627,plain,(+ ! [X0] :+ ( ( ( accept_population(X0,other,n4)+ & accept_population(X0,native,n4)+ & accept_population(X0,muslim,n7)+ & accept_population(X0,christian,n20)+ & accept_population(X0,atheist,n65) )+ | ~ accept_city(X0,suffertown) )+ & ( accept_city(X0,suffertown)+ | ~ accept_population(X0,other,n4)+ | ~ accept_population(X0,native,n4)+ | ~ accept_population(X0,muslim,n7)+ | ~ accept_population(X0,christian,n20)+ | ~ accept_population(X0,atheist,n65) ) ) ),+ inference(flattening,[],[f626])).++fof(f632,plain,(+ ! [X0,X1,X2,X3] :+ ( ( accept_team(X0,X3,X1,X2)+ | ~ accept_number(X0,X2)+ | ~ accept_leader(X0,X3)+ | ~ accept_city(X0,X1) )+ & ( ( accept_number(X0,X2)+ & accept_leader(X0,X3)+ & accept_city(X0,X1) )+ | ~ accept_team(X0,X3,X1,X2) ) ) ),+ inference(nnf_transformation,[],[f1])).++fof(f633,plain,(+ ! [X0,X1,X2,X3] :+ ( ( accept_team(X0,X3,X1,X2)+ | ~ accept_number(X0,X2)+ | ~ accept_leader(X0,X3)+ | ~ accept_city(X0,X1) )+ & ( ( accept_number(X0,X2)+ & accept_leader(X0,X3)+ & accept_city(X0,X1) )+ | ~ accept_team(X0,X3,X1,X2) ) ) ),+ inference(flattening,[],[f632])).++fof(f634,plain,(+ ~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4) ),+ inference(cnf_transformation,[],[f558])).++fof(f639,plain,(+ rdn_non_zero_digit(rdnn(n6)) ),+ inference(cnf_transformation,[],[f531])).++fof(f640,plain,(+ rdn_non_zero_digit(rdnn(n7)) ),+ inference(cnf_transformation,[],[f532])).++fof(f698,plain,(+ the_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc) ),+ inference(cnf_transformation,[],[f100])).++fof(f710,plain,(+ the_agent_in_all_proposed_teams(countrybcivilorganization,sufferterragovernment,towna) ),+ inference(cnf_transformation,[],[f229])).++fof(f781,plain,(+ rdn_positive_less(rdnn(n5),rdnn(n6)) ),+ inference(cnf_transformation,[],[f540])).++fof(f782,plain,(+ rdn_positive_less(rdnn(n6),rdnn(n7)) ),+ inference(cnf_transformation,[],[f541])).++fof(f787,plain,(+ rdn_positive_less(rdnn(n4),rdnn(n5)) ),+ inference(cnf_transformation,[],[f539])).++fof(f789,plain,(+ rdn_positive_less(rdnn(n7),rdnn(n8)) ),+ inference(cnf_transformation,[],[f542])).++fof(f791,plain,(+ rdn_translate(n4,rdn_pos(rdnn(n4))) ),+ inference(cnf_transformation,[],[f274])).++fof(f792,plain,(+ rdn_translate(n5,rdn_pos(rdnn(n5))) ),+ inference(cnf_transformation,[],[f275])).++fof(f793,plain,(+ rdn_translate(n7,rdn_pos(rdnn(n7))) ),+ inference(cnf_transformation,[],[f277])).++fof(f814,plain,(+ accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n6) ),+ inference(cnf_transformation,[],[f181])).++fof(f877,plain,(+ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townc,n6) ),+ inference(cnf_transformation,[],[f97])).++fof(f885,plain,(+ accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n5) ),+ inference(cnf_transformation,[],[f94])).++fof(f910,plain,(+ accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n4) ),+ inference(cnf_transformation,[],[f38])).++fof(f972,plain,(+ rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))) ),+ inference(cnf_transformation,[],[f340])).++fof(f977,plain,(+ rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))) ),+ inference(cnf_transformation,[],[f345])).++fof(f987,plain,(+ rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))) ),+ inference(cnf_transformation,[],[f355])).++fof(f999,plain,(+ rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))) ),+ inference(cnf_transformation,[],[f335])).++fof(f1158,plain,(+ ! [X0] :+ ( ~ rdn_non_zero_digit(rdnn(X0))+ | rdn_non_zero(rdnn(X0)) ) ),+ inference(cnf_transformation,[],[f577])).++fof(f1162,plain,(+ ! [X0] :+ ( accept_population(X0,muslim,n65)+ | ~ accept_city(X0,townc) ) ),+ inference(cnf_transformation,[],[f603])).++fof(f1164,plain,(+ ! [X0] :+ ( accept_population(X0,other,n5)+ | ~ accept_city(X0,townc) ) ),+ inference(cnf_transformation,[],[f603])).++fof(f1167,plain,(+ ! [X0] :+ ( accept_population(X0,christian,n20)+ | ~ accept_city(X0,cityb) ) ),+ inference(cnf_transformation,[],[f605])).++fof(f1184,plain,(+ ! [X0] :+ ( accept_population(X0,atheist,n75)+ | ~ accept_city(X0,towna) ) ),+ inference(cnf_transformation,[],[f611])).++fof(f1217,plain,(+ ! [X0] :+ ( accept_population(X0,native,n85)+ | ~ accept_city(X0,coastvillage) ) ),+ inference(cnf_transformation,[],[f621])).++fof(f1231,plain,(+ ! [X0] :+ ( ~ accept_population(X0,other,n4)+ | accept_city(X0,suffertown)+ | ~ accept_population(X0,native,n4)+ | ~ accept_population(X0,muslim,n7)+ | ~ accept_population(X0,christian,n20)+ | ~ accept_population(X0,atheist,n65) ) ),+ inference(cnf_transformation,[],[f627])).++fof(f1245,plain,(+ ! [X2,X0,X1] :+ ( ~ rdn_non_zero(X2)+ | rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ) ),+ inference(cnf_transformation,[],[f580])).++fof(f1248,plain,(+ ! [X2,X0,X1] :+ ( ~ the_agent_in_all_proposed_teams(X0,X1,X2)+ | accept_city(X0,X2) ) ),+ inference(cnf_transformation,[],[f583])).++fof(f1253,plain,(+ ! [X2,X0,X1] :+ ( ~ rdn_positive_less(rdnn(X1),rdnn(X2))+ | rdn_positive_less(rdnn(X0),rdnn(X2))+ | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ) ),+ inference(cnf_transformation,[],[f592])).++fof(f1254,plain,(+ ! [X2,X0,X3,X1] :+ ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))+ | ~ rdn_positive_less(X1,X3) ) ),+ inference(cnf_transformation,[],[f593])).++fof(f1256,plain,(+ ! [X2,X0,X3,X1] :+ ( less(X0,X1)+ | ~ rdn_positive_less(X2,X3)+ | ~ rdn_translate(X1,rdn_pos(X3))+ | ~ rdn_translate(X0,rdn_pos(X2)) ) ),+ inference(cnf_transformation,[],[f597])).++fof(f1258,plain,(+ ! [X2,X0,X3,X1] :+ ( ~ accept_population(X0,X3,X1)+ | ~ less(X2,X1)+ | accept_population(X0,X3,X2) ) ),+ inference(cnf_transformation,[],[f601])).++fof(f1259,plain,(+ ! [X2,X0,X3,X1] :+ ( ~ accept_team(X0,X3,X1,X2)+ | accept_city(X0,X1) ) ),+ inference(cnf_transformation,[],[f633])).++fof(f1260,plain,(+ ! [X2,X0,X3,X1] :+ ( ~ accept_team(X0,X3,X1,X2)+ | accept_leader(X0,X3) ) ),+ inference(cnf_transformation,[],[f633])).++fof(f1261,plain,(+ ! [X2,X0,X3,X1] :+ ( ~ accept_team(X0,X3,X1,X2)+ | accept_number(X0,X2) ) ),+ inference(cnf_transformation,[],[f633])).++fof(f1262,plain,(+ ! [X2,X0,X3,X1] :+ ( ~ accept_number(X0,X2)+ | accept_team(X0,X3,X1,X2)+ | ~ accept_leader(X0,X3)+ | ~ accept_city(X0,X1) ) ),+ inference(cnf_transformation,[],[f633])).++fof(f1269,plain,(+ ! [X2,X0,X3] :+ ( ~ rdn_translate(X0,rdn_pos(X2))+ | ~ rdn_positive_less(X2,X3)+ | sP2(X3,X0) ) ),+ inference(cnf_transformation,[],[f1269_D])).++fof(f1269_D,plain,(+ ! [X0,X3] :+ ( ! [X2] :+ ( ~ rdn_translate(X0,rdn_pos(X2))+ | ~ rdn_positive_less(X2,X3) )+ <=> ~ sP2(X3,X0) ) ),+ introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])])).++fof(f1270,plain,(+ ! [X0,X3,X1] :+ ( ~ rdn_translate(X1,rdn_pos(X3))+ | less(X0,X1)+ | ~ sP2(X3,X0) ) ),+ inference(general_splitting,[],[f1256,f1269_D])).++fof(f1273,plain,(+ rdn_non_zero(rdnn(n7)) ),+ inference(unit_resulting_resolution,[],[f640,f1158])).++fof(f1281,plain,(+ rdn_non_zero(rdnn(n6)) ),+ inference(unit_resulting_resolution,[],[f639,f1158])).++fof(f1421,plain,(+ accept_city(countrybcivilorganization,townc) ),+ inference(unit_resulting_resolution,[],[f698,f1248])).++fof(f1423,plain,(+ accept_city(countrybcivilorganization,towna) ),+ inference(unit_resulting_resolution,[],[f710,f1248])).++fof(f1535,plain,(+ accept_population(countrybcivilorganization,other,n5) ),+ inference(unit_resulting_resolution,[],[f1421,f1164])).++fof(f1537,plain,(+ accept_population(countrybcivilorganization,muslim,n65) ),+ inference(unit_resulting_resolution,[],[f1421,f1162])).++fof(f1544,plain,(+ accept_population(countrybcivilorganization,atheist,n75) ),+ inference(unit_resulting_resolution,[],[f1423,f1184])).++fof(f63624,plain,(+ accept_city(countrybcivilorganization,coastvillage) ),+ inference(unit_resulting_resolution,[],[f885,f1259])).++fof(f63679,plain,(+ accept_city(countrybcivilorganization,cityb) ),+ inference(unit_resulting_resolution,[],[f814,f1259])).++fof(f63841,plain,(+ accept_population(countrybcivilorganization,native,n85) ),+ inference(unit_resulting_resolution,[],[f63624,f1217])).++fof(f63898,plain,(+ accept_population(countrybcivilorganization,christian,n20) ),+ inference(unit_resulting_resolution,[],[f63679,f1167])).++fof(f64028,plain,(+ accept_leader(countrybcivilorganization,countrybhumanitarianorganization) ),+ inference(unit_resulting_resolution,[],[f877,f1260])).++fof(f64210,plain,(+ accept_number(countrybcivilorganization,n4) ),+ inference(unit_resulting_resolution,[],[f910,f1261])).++fof(f71586,plain,(+ ! [X0,X1] : rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n7))) ),+ inference(unit_resulting_resolution,[],[f1273,f1245])).++fof(f71594,plain,(+ ! [X0,X1] : rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n6))) ),+ inference(unit_resulting_resolution,[],[f1281,f1245])).++fof(f87098,plain,(+ sP2(rdnn(n5),n4) ),+ inference(unit_resulting_resolution,[],[f787,f791,f1269])).++fof(f153300,plain,(+ ! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n7)),rdn(rdnn(X1),rdnn(n8))) ),+ inference(unit_resulting_resolution,[],[f789,f1254])).++fof(f153308,plain,(+ ! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n6)),rdn(rdnn(X1),rdnn(n7))) ),+ inference(unit_resulting_resolution,[],[f782,f1254])).++fof(f154388,plain,(+ ~ accept_city(countrybcivilorganization,suffertown) ),+ inference(unit_resulting_resolution,[],[f64028,f634,f64210,f1262])).++fof(f154954,plain,(+ rdn_positive_less(rdnn(n4),rdnn(n6)) ),+ inference(unit_resulting_resolution,[],[f787,f781,f1253])).++fof(f159585,plain,(+ less(n4,n5) ),+ inference(unit_resulting_resolution,[],[f792,f87098,f1270])).++fof(f159591,plain,(+ accept_population(countrybcivilorganization,other,n4) ),+ inference(unit_resulting_resolution,[],[f1535,f159585,f1258])).++fof(f171287,plain,(+ rdn_positive_less(rdnn(n4),rdnn(n7)) ),+ inference(unit_resulting_resolution,[],[f782,f154954,f1253])).++fof(f320337,plain,(+ sP2(rdnn(n7),n4) ),+ inference(unit_resulting_resolution,[],[f791,f171287,f1269])).++fof(f320571,plain,(+ less(n4,n7) ),+ inference(unit_resulting_resolution,[],[f793,f320337,f1270])).++fof(f618193,plain,(+ ! [X0] : sP2(rdn(rdnn(X0),rdnn(n8)),n70) ),+ inference(unit_resulting_resolution,[],[f972,f153300,f1269])).++fof(f632875,plain,(+ less(n70,n85) ),+ inference(unit_resulting_resolution,[],[f987,f618193,f1270])).++fof(f632919,plain,(+ accept_population(countrybcivilorganization,native,n70) ),+ inference(unit_resulting_resolution,[],[f63841,f632875,f1258])).++fof(f654968,plain,(+ ! [X0] : sP2(rdn(rdnn(X0),rdnn(n7)),n65) ),+ inference(unit_resulting_resolution,[],[f999,f153308,f1269])).++fof(f870608,plain,(+ less(n65,n75) ),+ inference(unit_resulting_resolution,[],[f977,f654968,f1270])).++fof(f870678,plain,(+ accept_population(countrybcivilorganization,atheist,n65) ),+ inference(unit_resulting_resolution,[],[f1544,f870608,f1258])).++fof(f1179609,plain,(+ ! [X0] : sP2(rdn(rdnn(X0),rdnn(n7)),n7) ),+ inference(unit_resulting_resolution,[],[f793,f71586,f1269])).++fof(f1232370,plain,(+ ! [X0] : sP2(rdn(rdnn(X0),rdnn(n6)),n7) ),+ inference(unit_resulting_resolution,[],[f793,f71594,f1269])).++fof(f1313139,plain,(+ less(n7,n70) ),+ inference(unit_resulting_resolution,[],[f972,f1179609,f1270])).++fof(f1313165,plain,(+ accept_population(countrybcivilorganization,native,n7) ),+ inference(unit_resulting_resolution,[],[f632919,f1313139,f1258])).++fof(f1319571,plain,(+ accept_population(countrybcivilorganization,native,n4) ),+ inference(unit_resulting_resolution,[],[f320571,f1313165,f1258])).++fof(f1326519,plain,(+ ~ accept_population(countrybcivilorganization,muslim,n7) ),+ inference(unit_resulting_resolution,[],[f154388,f870678,f63898,f159591,f1319571,f1231])).++fof(f1340164,plain,(+ ~ less(n7,n65) ),+ inference(unit_resulting_resolution,[],[f1537,f1326519,f1258])).++fof(f1340497,plain,(+ ~ sP2(rdn(rdnn(n5),rdnn(n6)),n7) ),+ inference(unit_resulting_resolution,[],[f999,f1340164,f1270])).++fof(f1340500,plain,(+ $false ),+ inference(subsumption_resolution,[],[f1340497,f1232370])).+%------------------------------------------------------------------------------+%----ORIGINAL SYSTEM OUTPUT+% 0.00/0.04 % Problem : AGT006+1 : TPTP v7.1.0. Bugfixed v3.1.0.+% 0.00/0.04 % Command : vampire --mode casc_sat -t %d %s+% 0.03/0.23 % Computer : n017.star.cs.uiowa.edu+% 0.03/0.23 % Model : x86_64 x86_64+% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz+% 0.03/0.23 % Memory : 32218.625MB+% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64+% 0.03/0.23 % CPULimit : 300+% 0.03/0.23 % DateTime : Wed Aug 29 17:15:27 CDT 2018+% 0.03/0.23 % CPUTime : +% 0.03/0.28 % ott+11_3_aac=none:afr=on:afp=4000:afq=1.4:amm=off:anc=all:bs=unit_only:bsr=on:bce=on:fde=unused:irw=on:nm=64:newcnf=on:nwc=1:nicw=on:sac=on:sp=reverse_arity:uhcvi=on_31 on theBenchmark+% 4.24/4.48 % Time limit reached!+% 4.24/4.48 % ------------------------------+% 4.24/4.48 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)+% 4.24/4.48 % Termination reason: Time limit+% 4.24/4.48 % Termination phase: Saturation+% 4.24/4.48 +% 4.24/4.48 % Memory used [KB]: 71640+% 4.24/4.48 % Time elapsed: 4.200 s+% 4.24/4.48 % ------------------------------+% 4.24/4.48 % ------------------------------+% 4.31/4.52 % fmb+10_1_av=off:fmbsr=1.1:newcnf=on_266 on theBenchmark+% 4.31/4.53 TRYING [1]+% 4.31/4.54 TRYING [2]+% 4.39/4.57 TRYING [3]+% 4.45/4.68 TRYING [4]+% 4.74/4.92 TRYING [5]+% 5.20/5.45 TRYING [6]+% 6.03/6.28 TRYING [7]+% 7.25/7.47 TRYING [8]+% 9.05/9.22 TRYING [9]+% 11.76/11.95 TRYING [10]+% 15.77/15.97 TRYING [11]+% 20.54/20.63 TRYING [12]+% 28.15/28.19 TRYING [13]+% 37.95/37.93 TRYING [14]+% 39.25/39.22 % Time limit reached!+% 39.25/39.22 % ------------------------------+% 39.25/39.22 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)+% 39.25/39.22 % Termination reason: Time limit+% 39.25/39.22 % Termination phase: Finite model building constraint generation+% 39.25/39.22 +% 39.25/39.22 % Memory used [KB]: 792780+% 39.25/39.22 % Time elapsed: 34.700 s+% 39.25/39.22 % ------------------------------+% 39.25/39.22 % ------------------------------+% 39.25/39.28 % ott+11_3:1_afp=4000:afq=2.0:amm=off:anc=none:fsr=off:gs=on:gsem=off:lma=on:nm=64:newcnf=on:nwc=1:updr=off_83 on theBenchmark+% 50.19/50.18 % Time limit reached!+% 50.19/50.18 % ------------------------------+% 50.19/50.18 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)+% 50.19/50.18 % Termination reason: Time limit+% 50.19/50.18 % Termination phase: Saturation+% 50.19/50.18 +% 50.19/50.18 % Memory used [KB]: 91341+% 50.19/50.18 % Time elapsed: 10.900 s+% 50.19/50.18 % ------------------------------+% 50.19/50.18 % ------------------------------+% 50.28/50.22 % ott+10_128_av=off:bs=on:gsp=input_only:irw=on:lcm=predicate:lma=on:nm=0:nwc=1:sp=occurrence:urr=on:updr=off:uhcvi=on_231 on theBenchmark+% 65.97/65.84 % Refutation found. Thanks to Tanya!+% 65.97/65.84 % SZS status Theorem for theBenchmark+% 65.97/65.84 % SZS output start Proof for theBenchmark+% 65.97/65.84 fof(f1,axiom,(+% 65.97/65.84 ! [X0,X1,X2,X3] : (accept_team(X0,X3,X1,X2) <=> (accept_number(X0,X2) & accept_leader(X0,X3) & accept_city(X0,X1)))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_1)).+% 65.97/65.84 fof(f3,axiom,(+% 65.97/65.84 ! [X0,X2,X4,X5] : ((less(X4,X2) & accept_population(X0,X5,X2)) => accept_population(X0,X5,X4))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_3)).+% 65.97/65.84 fof(f4,axiom,(+% 65.97/65.84 ! [X0,X3,X1] : (the_agent_in_all_proposed_teams(X0,X3,X1) => (accept_city(X0,X1) & accept_leader(X0,X3)))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_4)).+% 65.97/65.84 fof(f8,axiom,(+% 65.97/65.84 ! [X0] : ((accept_population(X0,other,n4) & accept_population(X0,native,n4) & accept_population(X0,muslim,n7) & accept_population(X0,christian,n20) & accept_population(X0,atheist,n65)) <=> accept_city(X0,suffertown))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_1)).+% 65.97/65.84 fof(f14,axiom,(+% 65.97/65.84 ! [X0] : ((accept_population(X0,other,n0) & accept_population(X0,native,n85) & accept_population(X0,muslim,n0) & accept_population(X0,christian,n3) & accept_population(X0,atheist,n12)) <=> accept_city(X0,coastvillage))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_7)).+% 65.97/65.84 fof(f16,axiom,(+% 65.97/65.84 ! [X0] : ((accept_population(X0,other,n0) & accept_population(X0,native,n0) & accept_population(X0,muslim,n1) & accept_population(X0,christian,n24) & accept_population(X0,atheist,n75)) <=> accept_city(X0,towna))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_9)).+% 65.97/65.84 fof(f19,axiom,(+% 65.97/65.84 ! [X0] : ((accept_population(X0,other,n1) & accept_population(X0,native,n0) & accept_population(X0,muslim,n1) & accept_population(X0,christian,n20) & accept_population(X0,atheist,n78)) <=> accept_city(X0,cityb))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_12)).+% 65.97/65.84 fof(f20,axiom,(+% 65.97/65.84 ! [X0] : ((accept_population(X0,other,n5) & accept_population(X0,native,n0) & accept_population(X0,muslim,n65) & accept_population(X0,christian,n0) & accept_population(X0,atheist,n30)) <=> accept_city(X0,townc))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_13)).+% 65.97/65.84 fof(f38,axiom,(+% 65.97/65.84 accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n4)),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_18)).+% 65.97/65.84 fof(f94,axiom,(+% 65.97/65.84 accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n5)),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_74)).+% 65.97/65.84 fof(f97,axiom,(+% 65.97/65.84 accept_team(countrybcivilorganization,countrybhumanitarianorganization,townc,n6)),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_77)).+% 65.97/65.84 fof(f100,axiom,(+% 65.97/65.84 the_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc)),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_80)).+% 65.97/65.84 fof(f181,axiom,(+% 65.97/65.84 accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n6)),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_161)).+% 65.97/65.84 fof(f229,axiom,(+% 65.97/65.84 the_agent_in_all_proposed_teams(countrybcivilorganization,sufferterragovernment,towna)),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_209)).+% 65.97/65.84 fof(f274,axiom,(+% 65.97/65.84 rdn_translate(n4,rdn_pos(rdnn(n4)))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn4)).+% 65.97/65.84 fof(f275,axiom,(+% 65.97/65.84 rdn_translate(n5,rdn_pos(rdnn(n5)))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn5)).+% 65.97/65.84 fof(f277,axiom,(+% 65.97/65.84 rdn_translate(n7,rdn_pos(rdnn(n7)))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn7)).+% 65.97/65.84 fof(f335,axiom,(+% 65.97/65.84 rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6))))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn65)).+% 65.97/65.84 fof(f340,axiom,(+% 65.97/65.84 rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7))))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn70)).+% 65.97/65.84 fof(f345,axiom,(+% 65.97/65.84 rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7))))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn75)).+% 65.97/65.84 fof(f355,axiom,(+% 65.97/65.84 rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8))))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn85)).+% 65.97/65.84 fof(f531,axiom,(+% 65.97/65.84 rdn_non_zero_digit(rdnn(n6))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit6)).+% 65.97/65.84 fof(f532,axiom,(+% 65.97/65.84 rdn_non_zero_digit(rdnn(n7))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit7)).+% 65.97/65.84 fof(f539,axiom,(+% 65.97/65.84 rdn_positive_less(rdnn(n4),rdnn(n5))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less45)).+% 65.97/65.84 fof(f540,axiom,(+% 65.97/65.84 rdn_positive_less(rdnn(n5),rdnn(n6))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less56)).+% 65.97/65.84 fof(f541,axiom,(+% 65.97/65.84 rdn_positive_less(rdnn(n6),rdnn(n7))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less67)).+% 65.97/65.84 fof(f542,axiom,(+% 65.97/65.84 rdn_positive_less(rdnn(n7),rdnn(n8))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less78)).+% 65.97/65.84 fof(f544,axiom,(+% 65.97/65.84 ! [X6,X7,X8] : ((rdn_positive_less(rdnn(X7),rdnn(X8)) & rdn_positive_less(rdnn(X6),rdnn(X7))) => rdn_positive_less(rdnn(X6),rdnn(X8)))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_transitivity)).+% 65.97/65.84 fof(f545,axiom,(+% 65.97/65.84 ! [X9,X10,X11,X12] : (rdn_positive_less(X10,X12) => rdn_positive_less(rdn(rdnn(X9),X10),rdn(rdnn(X11),X12)))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high)).+% 65.97/65.84 fof(f547,axiom,(+% 65.97/65.84 ! [X14,X11,X12] : (rdn_non_zero(X12) => rdn_positive_less(rdnn(X14),rdn(rdnn(X11),X12)))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_extra_digits_positive_less)).+% 65.97/65.84 fof(f548,axiom,(+% 65.97/65.84 ! [X6] : (rdn_non_zero_digit(rdnn(X6)) => rdn_non_zero(rdnn(X6)))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_non_zero_by_digit)).+% 65.97/65.84 fof(f550,axiom,(+% 65.97/65.84 ! [X6,X7,X15,X16] : ((rdn_positive_less(X15,X16) & rdn_translate(X7,rdn_pos(X16)) & rdn_translate(X6,rdn_pos(X15))) => less(X6,X7))),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos)).+% 65.97/65.84 fof(f556,conjecture,(+% 65.97/65.84 accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4)),+% 65.97/65.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_6)).+% 65.97/65.84 fof(f557,negated_conjecture,(+% 65.97/65.84 ~accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4)),+% 65.97/65.84 inference(negated_conjecture,[],[f556])).+% 65.97/65.84 fof(f558,plain,(+% 65.97/65.84 ~accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4)),+% 65.97/65.84 inference(flattening,[],[f557])).+% 65.97/65.84 fof(f559,plain,(+% 65.97/65.84 ! [X0] : (rdn_non_zero_digit(rdnn(X0)) => rdn_non_zero(rdnn(X0)))),+% 65.97/65.84 inference(rectify,[],[f548])).+% 65.97/65.84 fof(f564,plain,(+% 65.97/65.84 ! [X0,X1,X2] : (rdn_non_zero(X2) => rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)))),+% 65.97/65.84 inference(rectify,[],[f547])).+% 65.97/65.84 fof(f566,plain,(+% 65.97/65.84 ! [X0,X1,X2] : (the_agent_in_all_proposed_teams(X0,X1,X2) => (accept_city(X0,X2) & accept_leader(X0,X1)))),+% 65.97/65.84 inference(rectify,[],[f4])).+% 65.97/65.84 fof(f571,plain,(+% 65.97/65.84 ! [X0,X1,X2] : ((rdn_positive_less(rdnn(X1),rdnn(X2)) & rdn_positive_less(rdnn(X0),rdnn(X1))) => rdn_positive_less(rdnn(X0),rdnn(X2)))),+% 65.97/65.84 inference(rectify,[],[f544])).+% 65.97/65.84 fof(f572,plain,(+% 65.97/65.84 ! [X0,X1,X2,X3] : (rdn_positive_less(X1,X3) => rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)))),+% 65.97/65.84 inference(rectify,[],[f545])).+% 65.97/65.84 fof(f574,plain,(+% 65.97/65.84 ! [X0,X1,X2,X3] : ((rdn_positive_less(X2,X3) & rdn_translate(X1,rdn_pos(X3)) & rdn_translate(X0,rdn_pos(X2))) => less(X0,X1))),+% 65.97/65.84 inference(rectify,[],[f550])).+% 65.97/65.84 fof(f576,plain,(+% 65.97/65.84 ! [X0,X1,X2,X3] : ((less(X2,X1) & accept_population(X0,X3,X1)) => accept_population(X0,X3,X2))),+% 65.97/65.84 inference(rectify,[],[f3])).+% 65.97/65.84 fof(f577,plain,(+% 65.97/65.84 ! [X0] : (rdn_non_zero(rdnn(X0)) | ~rdn_non_zero_digit(rdnn(X0)))),+% 65.97/65.84 inference(ennf_transformation,[],[f559])).+% 65.97/65.84 fof(f580,plain,(+% 65.97/65.84 ! [X0,X1,X2] : (rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) | ~rdn_non_zero(X2))),+% 65.97/65.84 inference(ennf_transformation,[],[f564])).+% 65.97/65.84 fof(f583,plain,(+% 65.97/65.84 ! [X0,X1,X2] : ((accept_city(X0,X2) & accept_leader(X0,X1)) | ~the_agent_in_all_proposed_teams(X0,X1,X2))),+% 65.97/65.84 inference(ennf_transformation,[],[f566])).+% 65.97/65.84 fof(f591,plain,(+% 65.97/65.84 ! [X0,X1,X2] : (rdn_positive_less(rdnn(X0),rdnn(X2)) | (~rdn_positive_less(rdnn(X1),rdnn(X2)) | ~rdn_positive_less(rdnn(X0),rdnn(X1))))),+% 65.97/65.84 inference(ennf_transformation,[],[f571])).+% 65.97/65.84 fof(f592,plain,(+% 65.97/65.84 ! [X0,X1,X2] : (rdn_positive_less(rdnn(X0),rdnn(X2)) | ~rdn_positive_less(rdnn(X1),rdnn(X2)) | ~rdn_positive_less(rdnn(X0),rdnn(X1)))),+% 65.97/65.84 inference(flattening,[],[f591])).+% 65.97/65.84 fof(f593,plain,(+% 65.97/65.84 ! [X0,X1,X2,X3] : (rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) | ~rdn_positive_less(X1,X3))),+% 65.97/65.84 inference(ennf_transformation,[],[f572])).+% 65.97/65.84 fof(f596,plain,(+% 65.97/65.84 ! [X0,X1,X2,X3] : (less(X0,X1) | (~rdn_positive_less(X2,X3) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_translate(X0,rdn_pos(X2))))),+% 65.97/65.84 inference(ennf_transformation,[],[f574])).+% 65.97/65.84 fof(f597,plain,(+% 65.97/65.84 ! [X0,X1,X2,X3] : (less(X0,X1) | ~rdn_positive_less(X2,X3) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_translate(X0,rdn_pos(X2)))),+% 65.97/65.84 inference(flattening,[],[f596])).+% 65.97/65.84 fof(f600,plain,(+% 65.97/65.84 ! [X0,X1,X2,X3] : (accept_population(X0,X3,X2) | (~less(X2,X1) | ~accept_population(X0,X3,X1)))),+% 65.97/65.84 inference(ennf_transformation,[],[f576])).+% 65.97/65.84 fof(f601,plain,(+% 65.97/65.84 ! [X0,X1,X2,X3] : (accept_population(X0,X3,X2) | ~less(X2,X1) | ~accept_population(X0,X3,X1))),+% 65.97/65.84 inference(flattening,[],[f600])).+% 65.97/65.84 fof(f602,plain,(+% 65.97/65.84 ! [X0] : (((accept_population(X0,other,n5) & accept_population(X0,native,n0) & accept_population(X0,muslim,n65) & accept_population(X0,christian,n0) & accept_population(X0,atheist,n30)) | ~accept_city(X0,townc)) & (accept_city(X0,townc) | (~accept_population(X0,other,n5) | ~accept_population(X0,native,n0) | ~accept_population(X0,muslim,n65) | ~accept_population(X0,christian,n0) | ~accept_population(X0,atheist,n30))))),+% 65.97/65.84 inference(nnf_transformation,[],[f20])).+% 65.97/65.84 fof(f603,plain,(+% 65.97/65.84 ! [X0] : (((accept_population(X0,other,n5) & accept_population(X0,native,n0) & accept_population(X0,muslim,n65) & accept_population(X0,christian,n0) & accept_population(X0,atheist,n30)) | ~accept_city(X0,townc)) & (accept_city(X0,townc) | ~accept_population(X0,other,n5) | ~accept_population(X0,native,n0) | ~accept_population(X0,muslim,n65) | ~accept_population(X0,christian,n0) | ~accept_population(X0,atheist,n30)))),+% 65.97/65.84 inference(flattening,[],[f602])).+% 65.97/65.84 fof(f604,plain,(+% 65.97/65.84 ! [X0] : (((accept_population(X0,other,n1) & accept_population(X0,native,n0) & accept_population(X0,muslim,n1) & accept_population(X0,christian,n20) & accept_population(X0,atheist,n78)) | ~accept_city(X0,cityb)) & (accept_city(X0,cityb) | (~accept_population(X0,other,n1) | ~accept_population(X0,native,n0) | ~accept_population(X0,muslim,n1) | ~accept_population(X0,christian,n20) | ~accept_population(X0,atheist,n78))))),+% 65.97/65.84 inference(nnf_transformation,[],[f19])).+% 65.97/65.84 fof(f605,plain,(+% 65.97/65.84 ! [X0] : (((accept_population(X0,other,n1) & accept_population(X0,native,n0) & accept_population(X0,muslim,n1) & accept_population(X0,christian,n20) & accept_population(X0,atheist,n78)) | ~accept_city(X0,cityb)) & (accept_city(X0,cityb) | ~accept_population(X0,other,n1) | ~accept_population(X0,native,n0) | ~accept_population(X0,muslim,n1) | ~accept_population(X0,christian,n20) | ~accept_population(X0,atheist,n78)))),+% 65.97/65.84 inference(flattening,[],[f604])).+% 65.97/65.84 fof(f610,plain,(+% 65.97/65.84 ! [X0] : (((accept_population(X0,other,n0) & accept_population(X0,native,n0) & accept_population(X0,muslim,n1) & accept_population(X0,christian,n24) & accept_population(X0,atheist,n75)) | ~accept_city(X0,towna)) & (accept_city(X0,towna) | (~accept_population(X0,other,n0) | ~accept_population(X0,native,n0) | ~accept_population(X0,muslim,n1) | ~accept_population(X0,christian,n24) | ~accept_population(X0,atheist,n75))))),+% 65.97/65.84 inference(nnf_transformation,[],[f16])).+% 65.97/65.84 fof(f611,plain,(+% 65.97/65.84 ! [X0] : (((accept_population(X0,other,n0) & accept_population(X0,native,n0) & accept_population(X0,muslim,n1) & accept_population(X0,christian,n24) & accept_population(X0,atheist,n75)) | ~accept_city(X0,towna)) & (accept_city(X0,towna) | ~accept_population(X0,other,n0) | ~accept_population(X0,native,n0) | ~accept_population(X0,muslim,n1) | ~accept_population(X0,christian,n24) | ~accept_population(X0,atheist,n75)))),+% 65.97/65.84 inference(flattening,[],[f610])).+% 65.97/65.84 fof(f620,plain,(+% 65.97/65.84 ! [X0] : (((accept_population(X0,other,n0) & accept_population(X0,native,n85) & accept_population(X0,muslim,n0) & accept_population(X0,christian,n3) & accept_population(X0,atheist,n12)) | ~accept_city(X0,coastvillage)) & (accept_city(X0,coastvillage) | (~accept_population(X0,other,n0) | ~accept_population(X0,native,n85) | ~accept_population(X0,muslim,n0) | ~accept_population(X0,christian,n3) | ~accept_population(X0,atheist,n12))))),+% 65.97/65.84 inference(nnf_transformation,[],[f14])).+% 65.97/65.84 fof(f621,plain,(+% 65.97/65.84 ! [X0] : (((accept_population(X0,other,n0) & accept_population(X0,native,n85) & accept_population(X0,muslim,n0) & accept_population(X0,christian,n3) & accept_population(X0,atheist,n12)) | ~accept_city(X0,coastvillage)) & (accept_city(X0,coastvillage) | ~accept_population(X0,other,n0) | ~accept_population(X0,native,n85) | ~accept_population(X0,muslim,n0) | ~accept_population(X0,christian,n3) | ~accept_population(X0,atheist,n12)))),+% 65.97/65.84 inference(flattening,[],[f620])).+% 65.97/65.84 fof(f626,plain,(+% 65.97/65.84 ! [X0] : (((accept_population(X0,other,n4) & accept_population(X0,native,n4) & accept_population(X0,muslim,n7) & accept_population(X0,christian,n20) & accept_population(X0,atheist,n65)) | ~accept_city(X0,suffertown)) & (accept_city(X0,suffertown) | (~accept_population(X0,other,n4) | ~accept_population(X0,native,n4) | ~accept_population(X0,muslim,n7) | ~accept_population(X0,christian,n20) | ~accept_population(X0,atheist,n65))))),+% 65.97/65.84 inference(nnf_transformation,[],[f8])).+% 65.97/65.84 fof(f627,plain,(+% 65.97/65.84 ! [X0] : (((accept_population(X0,other,n4) & accept_population(X0,native,n4) & accept_population(X0,muslim,n7) & accept_population(X0,christian,n20) & accept_population(X0,atheist,n65)) | ~accept_city(X0,suffertown)) & (accept_city(X0,suffertown) | ~accept_population(X0,other,n4) | ~accept_population(X0,native,n4) | ~accept_population(X0,muslim,n7) | ~accept_population(X0,christian,n20) | ~accept_population(X0,atheist,n65)))),+% 65.97/65.84 inference(flattening,[],[f626])).+% 65.97/65.84 fof(f632,plain,(+% 65.97/65.84 ! [X0,X1,X2,X3] : ((accept_team(X0,X3,X1,X2) | (~accept_number(X0,X2) | ~accept_leader(X0,X3) | ~accept_city(X0,X1))) & ((accept_number(X0,X2) & accept_leader(X0,X3) & accept_city(X0,X1)) | ~accept_team(X0,X3,X1,X2)))),+% 65.97/65.84 inference(nnf_transformation,[],[f1])).+% 65.97/65.84 fof(f633,plain,(+% 65.97/65.84 ! [X0,X1,X2,X3] : ((accept_team(X0,X3,X1,X2) | ~accept_number(X0,X2) | ~accept_leader(X0,X3) | ~accept_city(X0,X1)) & ((accept_number(X0,X2) & accept_leader(X0,X3) & accept_city(X0,X1)) | ~accept_team(X0,X3,X1,X2)))),+% 65.97/65.84 inference(flattening,[],[f632])).+% 65.97/65.84 fof(f634,plain,(+% 65.97/65.84 ~accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4)),+% 65.97/65.84 inference(cnf_transformation,[],[f558])).+% 65.97/65.84 fof(f639,plain,(+% 65.97/65.84 rdn_non_zero_digit(rdnn(n6))),+% 65.97/65.84 inference(cnf_transformation,[],[f531])).+% 65.97/65.84 fof(f640,plain,(+% 65.97/65.84 rdn_non_zero_digit(rdnn(n7))),+% 65.97/65.84 inference(cnf_transformation,[],[f532])).+% 65.97/65.84 fof(f698,plain,(+% 65.97/65.84 the_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc)),+% 65.97/65.84 inference(cnf_transformation,[],[f100])).+% 65.97/65.84 fof(f710,plain,(+% 65.97/65.84 the_agent_in_all_proposed_teams(countrybcivilorganization,sufferterragovernment,towna)),+% 65.97/65.84 inference(cnf_transformation,[],[f229])).+% 65.97/65.84 fof(f781,plain,(+% 65.97/65.84 rdn_positive_less(rdnn(n5),rdnn(n6))),+% 65.97/65.84 inference(cnf_transformation,[],[f540])).+% 65.97/65.84 fof(f782,plain,(+% 65.97/65.84 rdn_positive_less(rdnn(n6),rdnn(n7))),+% 65.97/65.84 inference(cnf_transformation,[],[f541])).+% 65.97/65.84 fof(f787,plain,(+% 65.97/65.84 rdn_positive_less(rdnn(n4),rdnn(n5))),+% 65.97/65.84 inference(cnf_transformation,[],[f539])).+% 65.97/65.84 fof(f789,plain,(+% 65.97/65.84 rdn_positive_less(rdnn(n7),rdnn(n8))),+% 65.97/65.84 inference(cnf_transformation,[],[f542])).+% 65.97/65.84 fof(f791,plain,(+% 65.97/65.84 rdn_translate(n4,rdn_pos(rdnn(n4)))),+% 65.97/65.84 inference(cnf_transformation,[],[f274])).+% 65.97/65.84 fof(f792,plain,(+% 65.97/65.84 rdn_translate(n5,rdn_pos(rdnn(n5)))),+% 65.97/65.84 inference(cnf_transformation,[],[f275])).+% 65.97/65.84 fof(f793,plain,(+% 65.97/65.84 rdn_translate(n7,rdn_pos(rdnn(n7)))),+% 65.97/65.84 inference(cnf_transformation,[],[f277])).+% 65.97/65.84 fof(f814,plain,(+% 65.97/65.84 accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n6)),+% 65.97/65.84 inference(cnf_transformation,[],[f181])).+% 65.97/65.84 fof(f877,plain,(+% 65.97/65.84 accept_team(countrybcivilorganization,countrybhumanitarianorganization,townc,n6)),+% 65.97/65.84 inference(cnf_transformation,[],[f97])).+% 65.97/65.84 fof(f885,plain,(+% 65.97/65.84 accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n5)),+% 65.97/65.84 inference(cnf_transformation,[],[f94])).+% 65.97/65.84 fof(f910,plain,(+% 65.97/65.84 accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n4)),+% 65.97/65.84 inference(cnf_transformation,[],[f38])).+% 65.97/65.84 fof(f972,plain,(+% 65.97/65.84 rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7))))),+% 65.97/65.84 inference(cnf_transformation,[],[f340])).+% 65.97/65.84 fof(f977,plain,(+% 65.97/65.84 rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7))))),+% 65.97/65.84 inference(cnf_transformation,[],[f345])).+% 65.97/65.84 fof(f987,plain,(+% 65.97/65.84 rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8))))),+% 65.97/65.84 inference(cnf_transformation,[],[f355])).+% 65.97/65.84 fof(f999,plain,(+% 65.97/65.84 rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6))))),+% 65.97/65.84 inference(cnf_transformation,[],[f335])).+% 65.97/65.84 fof(f1158,plain,(+% 65.97/65.84 ( ! [X0] : (~rdn_non_zero_digit(rdnn(X0)) | rdn_non_zero(rdnn(X0))) )),+% 65.97/65.84 inference(cnf_transformation,[],[f577])).+% 65.97/65.84 fof(f1162,plain,(+% 65.97/65.84 ( ! [X0] : (accept_population(X0,muslim,n65) | ~accept_city(X0,townc)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f603])).+% 65.97/65.84 fof(f1164,plain,(+% 65.97/65.84 ( ! [X0] : (accept_population(X0,other,n5) | ~accept_city(X0,townc)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f603])).+% 65.97/65.84 fof(f1167,plain,(+% 65.97/65.84 ( ! [X0] : (accept_population(X0,christian,n20) | ~accept_city(X0,cityb)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f605])).+% 65.97/65.84 fof(f1184,plain,(+% 65.97/65.84 ( ! [X0] : (accept_population(X0,atheist,n75) | ~accept_city(X0,towna)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f611])).+% 65.97/65.84 fof(f1217,plain,(+% 65.97/65.84 ( ! [X0] : (accept_population(X0,native,n85) | ~accept_city(X0,coastvillage)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f621])).+% 65.97/65.84 fof(f1231,plain,(+% 65.97/65.84 ( ! [X0] : (~accept_population(X0,other,n4) | accept_city(X0,suffertown) | ~accept_population(X0,native,n4) | ~accept_population(X0,muslim,n7) | ~accept_population(X0,christian,n20) | ~accept_population(X0,atheist,n65)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f627])).+% 65.97/65.84 fof(f1245,plain,(+% 65.97/65.84 ( ! [X2,X0,X1] : (~rdn_non_zero(X2) | rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))) )),+% 65.97/65.84 inference(cnf_transformation,[],[f580])).+% 65.97/65.84 fof(f1248,plain,(+% 65.97/65.84 ( ! [X2,X0,X1] : (~the_agent_in_all_proposed_teams(X0,X1,X2) | accept_city(X0,X2)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f583])).+% 65.97/65.84 fof(f1253,plain,(+% 65.97/65.84 ( ! [X2,X0,X1] : (~rdn_positive_less(rdnn(X1),rdnn(X2)) | rdn_positive_less(rdnn(X0),rdnn(X2)) | ~rdn_positive_less(rdnn(X0),rdnn(X1))) )),+% 65.97/65.84 inference(cnf_transformation,[],[f592])).+% 65.97/65.84 fof(f1254,plain,(+% 65.97/65.84 ( ! [X2,X0,X3,X1] : (rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) | ~rdn_positive_less(X1,X3)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f593])).+% 65.97/65.84 fof(f1256,plain,(+% 65.97/65.84 ( ! [X2,X0,X3,X1] : (less(X0,X1) | ~rdn_positive_less(X2,X3) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_translate(X0,rdn_pos(X2))) )),+% 65.97/65.84 inference(cnf_transformation,[],[f597])).+% 65.97/65.84 fof(f1258,plain,(+% 65.97/65.84 ( ! [X2,X0,X3,X1] : (~accept_population(X0,X3,X1) | ~less(X2,X1) | accept_population(X0,X3,X2)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f601])).+% 65.97/65.84 fof(f1259,plain,(+% 65.97/65.84 ( ! [X2,X0,X3,X1] : (~accept_team(X0,X3,X1,X2) | accept_city(X0,X1)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f633])).+% 65.97/65.84 fof(f1260,plain,(+% 65.97/65.84 ( ! [X2,X0,X3,X1] : (~accept_team(X0,X3,X1,X2) | accept_leader(X0,X3)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f633])).+% 65.97/65.84 fof(f1261,plain,(+% 65.97/65.84 ( ! [X2,X0,X3,X1] : (~accept_team(X0,X3,X1,X2) | accept_number(X0,X2)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f633])).+% 65.97/65.84 fof(f1262,plain,(+% 65.97/65.84 ( ! [X2,X0,X3,X1] : (~accept_number(X0,X2) | accept_team(X0,X3,X1,X2) | ~accept_leader(X0,X3) | ~accept_city(X0,X1)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f633])).+% 65.97/65.84 fof(f1269,plain,(+% 65.97/65.84 ( ! [X2,X0,X3] : (~rdn_translate(X0,rdn_pos(X2)) | ~rdn_positive_less(X2,X3) | sP2(X3,X0)) )),+% 65.97/65.84 inference(cnf_transformation,[],[f1269_D])).+% 65.97/65.84 fof(f1269_D,plain,(+% 65.97/65.84 ( ! [X0,X3] : (( ! [X2] : (~rdn_translate(X0,rdn_pos(X2)) | ~rdn_positive_less(X2,X3)) ) <=> ~sP2(X3,X0)) )),+% 65.97/65.84 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])])).+% 65.97/65.84 fof(f1270,plain,(+% 65.97/65.84 ( ! [X0,X3,X1] : (~rdn_translate(X1,rdn_pos(X3)) | less(X0,X1) | ~sP2(X3,X0)) )),+% 65.97/65.84 inference(general_splitting,[],[f1256,f1269_D])).+% 65.97/65.84 fof(f1273,plain,(+% 65.97/65.84 rdn_non_zero(rdnn(n7))),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f640,f1158])).+% 65.97/65.84 fof(f1281,plain,(+% 65.97/65.84 rdn_non_zero(rdnn(n6))),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f639,f1158])).+% 65.97/65.84 fof(f1421,plain,(+% 65.97/65.84 accept_city(countrybcivilorganization,townc)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f698,f1248])).+% 65.97/65.84 fof(f1423,plain,(+% 65.97/65.84 accept_city(countrybcivilorganization,towna)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f710,f1248])).+% 65.97/65.84 fof(f1535,plain,(+% 65.97/65.84 accept_population(countrybcivilorganization,other,n5)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f1421,f1164])).+% 65.97/65.84 fof(f1537,plain,(+% 65.97/65.84 accept_population(countrybcivilorganization,muslim,n65)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f1421,f1162])).+% 65.97/65.84 fof(f1544,plain,(+% 65.97/65.84 accept_population(countrybcivilorganization,atheist,n75)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f1423,f1184])).+% 65.97/65.84 fof(f63624,plain,(+% 65.97/65.84 accept_city(countrybcivilorganization,coastvillage)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f885,f1259])).+% 65.97/65.84 fof(f63679,plain,(+% 65.97/65.84 accept_city(countrybcivilorganization,cityb)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f814,f1259])).+% 65.97/65.84 fof(f63841,plain,(+% 65.97/65.84 accept_population(countrybcivilorganization,native,n85)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f63624,f1217])).+% 65.97/65.84 fof(f63898,plain,(+% 65.97/65.84 accept_population(countrybcivilorganization,christian,n20)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f63679,f1167])).+% 65.97/65.84 fof(f64028,plain,(+% 65.97/65.84 accept_leader(countrybcivilorganization,countrybhumanitarianorganization)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f877,f1260])).+% 65.97/65.84 fof(f64210,plain,(+% 65.97/65.84 accept_number(countrybcivilorganization,n4)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f910,f1261])).+% 65.97/65.84 fof(f71586,plain,(+% 65.97/65.84 ( ! [X0,X1] : (rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n7)))) )),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f1273,f1245])).+% 65.97/65.84 fof(f71594,plain,(+% 65.97/65.84 ( ! [X0,X1] : (rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n6)))) )),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f1281,f1245])).+% 65.97/65.84 fof(f87098,plain,(+% 65.97/65.84 sP2(rdnn(n5),n4)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f787,f791,f1269])).+% 65.97/65.84 fof(f153300,plain,(+% 65.97/65.84 ( ! [X0,X1] : (rdn_positive_less(rdn(rdnn(X0),rdnn(n7)),rdn(rdnn(X1),rdnn(n8)))) )),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f789,f1254])).+% 65.97/65.84 fof(f153308,plain,(+% 65.97/65.84 ( ! [X0,X1] : (rdn_positive_less(rdn(rdnn(X0),rdnn(n6)),rdn(rdnn(X1),rdnn(n7)))) )),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f782,f1254])).+% 65.97/65.84 fof(f154388,plain,(+% 65.97/65.84 ~accept_city(countrybcivilorganization,suffertown)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f64028,f634,f64210,f1262])).+% 65.97/65.84 fof(f154954,plain,(+% 65.97/65.84 rdn_positive_less(rdnn(n4),rdnn(n6))),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f787,f781,f1253])).+% 65.97/65.84 fof(f159585,plain,(+% 65.97/65.84 less(n4,n5)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f792,f87098,f1270])).+% 65.97/65.84 fof(f159591,plain,(+% 65.97/65.84 accept_population(countrybcivilorganization,other,n4)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f1535,f159585,f1258])).+% 65.97/65.84 fof(f171287,plain,(+% 65.97/65.84 rdn_positive_less(rdnn(n4),rdnn(n7))),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f782,f154954,f1253])).+% 65.97/65.84 fof(f320337,plain,(+% 65.97/65.84 sP2(rdnn(n7),n4)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f791,f171287,f1269])).+% 65.97/65.84 fof(f320571,plain,(+% 65.97/65.84 less(n4,n7)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f793,f320337,f1270])).+% 65.97/65.84 fof(f618193,plain,(+% 65.97/65.84 ( ! [X0] : (sP2(rdn(rdnn(X0),rdnn(n8)),n70)) )),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f972,f153300,f1269])).+% 65.97/65.84 fof(f632875,plain,(+% 65.97/65.84 less(n70,n85)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f987,f618193,f1270])).+% 65.97/65.84 fof(f632919,plain,(+% 65.97/65.84 accept_population(countrybcivilorganization,native,n70)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f63841,f632875,f1258])).+% 65.97/65.84 fof(f654968,plain,(+% 65.97/65.84 ( ! [X0] : (sP2(rdn(rdnn(X0),rdnn(n7)),n65)) )),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f999,f153308,f1269])).+% 65.97/65.84 fof(f870608,plain,(+% 65.97/65.84 less(n65,n75)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f977,f654968,f1270])).+% 65.97/65.84 fof(f870678,plain,(+% 65.97/65.84 accept_population(countrybcivilorganization,atheist,n65)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f1544,f870608,f1258])).+% 65.97/65.84 fof(f1179609,plain,(+% 65.97/65.84 ( ! [X0] : (sP2(rdn(rdnn(X0),rdnn(n7)),n7)) )),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f793,f71586,f1269])).+% 65.97/65.84 fof(f1232370,plain,(+% 65.97/65.84 ( ! [X0] : (sP2(rdn(rdnn(X0),rdnn(n6)),n7)) )),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f793,f71594,f1269])).+% 65.97/65.84 fof(f1313139,plain,(+% 65.97/65.84 less(n7,n70)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f972,f1179609,f1270])).+% 65.97/65.84 fof(f1313165,plain,(+% 65.97/65.84 accept_population(countrybcivilorganization,native,n7)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f632919,f1313139,f1258])).+% 65.97/65.84 fof(f1319571,plain,(+% 65.97/65.84 accept_population(countrybcivilorganization,native,n4)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f320571,f1313165,f1258])).+% 65.97/65.84 fof(f1326519,plain,(+% 65.97/65.84 ~accept_population(countrybcivilorganization,muslim,n7)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f154388,f870678,f63898,f159591,f1319571,f1231])).+% 65.97/65.84 fof(f1340164,plain,(+% 65.97/65.84 ~less(n7,n65)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f1537,f1326519,f1258])).+% 65.97/65.84 fof(f1340497,plain,(+% 65.97/65.84 ~sP2(rdn(rdnn(n5),rdnn(n6)),n7)),+% 65.97/65.84 inference(unit_resulting_resolution,[],[f999,f1340164,f1270])).+% 65.97/65.84 fof(f1340500,plain,(+% 65.97/65.84 $false),+% 65.97/65.84 inference(subsumption_resolution,[],[f1340497,f1232370])).+% 65.97/65.84 % SZS output end Proof for theBenchmark+% 65.97/65.84 % ------------------------------+% 65.97/65.84 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)+% 65.97/65.84 % Termination reason: Refutation+% 65.97/65.84 +% 65.97/65.84 % Memory used [KB]: 173600+% 65.97/65.84 % Time elapsed: 15.616 s+% 65.97/65.84 % ------------------------------+% 65.97/65.84 % ------------------------------+% 65.97/65.85 % Success in time 65.618 s+%------------------------------------------------------------------------------
+ test-data/tstp/fof/ALG022+1---Metis---2.3.THM-CRf.s view
file too large to diff
+ test-data/tstp/fof/ALG022+1---SInE---0.4.THM-CRf.s view
@@ -0,0 +1,21577 @@+%------------------------------------------------------------------------------+% File : SInE---0.4+% Problem : ALG022+1 : TPTP v5.0.0. Released v2.7.0.+% Transform : none+% Format : tptp:raw+% Command : Source/sine.py -e eprover -t %d %s++% Computer : art05.cs.miami.edu+% Model : i686 i686+% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz+% Memory : 2018MB+% OS : Linux 2.6.26.8-57.fc8+% CPULimit : 300s+% DateTime : Sat Dec 25 03:37:50 EST 2010++% Result : Theorem 2.95s+% Output : CNFRefutation 2.95s+% Verified : +% Statistics : Number of formulae : 288 (1846 expanded)+% Number of clauses : 248 (1093 expanded)+% Number of leaves : 13 ( 705 expanded)+% Depth : 155+% Number of atoms : 20379 (27946 expanded)+% Number of equality atoms : 13297 (20793 expanded)+% Maximal formula depth : 141 ( 45 average)+% Maximal clause size : 4928 ( 82 average)+% Maximal term depth : 3 ( 3 average)++% Comments : +%------------------------------------------------------------------------------+fof(1,axiom,+ ( op(e0,e0) = e0+ & op(e0,e1) = e1+ & op(e0,e2) = e2+ & op(e0,e3) = e3+ & op(e1,e0) = e1+ & op(e1,e1) = e3+ & op(e1,e2) = e0+ & op(e1,e3) = e2+ & op(e2,e0) = e2+ & op(e2,e1) = e0+ & op(e2,e2) = e3+ & op(e2,e3) = e1+ & op(e3,e0) = e3+ & op(e3,e1) = e2+ & op(e3,e2) = e1+ & op(e3,e3) = e0 ),+ file('/tmp/tmp5awh7i/sel_ALG022+1.p_1',ax2)).++fof(2,axiom,(+ unit = e0 ),+ file('/tmp/tmp5awh7i/sel_ALG022+1.p_1',ax3)).++fof(3,conjecture,+ ( ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3 )+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3 )+ & ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3 )+ & ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3 )+ & ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3 )+ & ( op(e2,e0) = e0+ | op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3 )+ & ( op(e2,e1) = e0+ | op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3 )+ & ( op(e2,e2) = e0+ | op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3 )+ & ( op(e2,e3) = e0+ | op(e2,e3) = e1+ | op(e2,e3) = e2+ | op(e2,e3) = e3 )+ & ( op(e3,e0) = e0+ | op(e3,e0) = e1+ | op(e3,e0) = e2+ | op(e3,e0) = e3 )+ & ( op(e3,e1) = e0+ | op(e3,e1) = e1+ | op(e3,e1) = e2+ | op(e3,e1) = e3 )+ & ( op(e3,e2) = e0+ | op(e3,e2) = e1+ | op(e3,e2) = e2+ | op(e3,e2) = e3 )+ & ( op(e3,e3) = e0+ | op(e3,e3) = e1+ | op(e3,e3) = e2+ | op(e3,e3) = e3 )+ & op(op(e0,e0),e0) = op(e0,op(e0,e0))+ & op(op(e0,e0),e1) = op(e0,op(e0,e1))+ & op(op(e0,e0),e2) = op(e0,op(e0,e2))+ & op(op(e0,e0),e3) = op(e0,op(e0,e3))+ & op(op(e0,e1),e0) = op(e0,op(e1,e0))+ & op(op(e0,e1),e1) = op(e0,op(e1,e1))+ & op(op(e0,e1),e2) = op(e0,op(e1,e2))+ & op(op(e0,e1),e3) = op(e0,op(e1,e3))+ & op(op(e0,e2),e0) = op(e0,op(e2,e0))+ & op(op(e0,e2),e1) = op(e0,op(e2,e1))+ & op(op(e0,e2),e2) = op(e0,op(e2,e2))+ & op(op(e0,e2),e3) = op(e0,op(e2,e3))+ & op(op(e0,e3),e0) = op(e0,op(e3,e0))+ & op(op(e0,e3),e1) = op(e0,op(e3,e1))+ & op(op(e0,e3),e2) = op(e0,op(e3,e2))+ & op(op(e0,e3),e3) = op(e0,op(e3,e3))+ & op(op(e1,e0),e0) = op(e1,op(e0,e0))+ & op(op(e1,e0),e1) = op(e1,op(e0,e1))+ & op(op(e1,e0),e2) = op(e1,op(e0,e2))+ & op(op(e1,e0),e3) = op(e1,op(e0,e3))+ & op(op(e1,e1),e0) = op(e1,op(e1,e0))+ & op(op(e1,e1),e1) = op(e1,op(e1,e1))+ & op(op(e1,e1),e2) = op(e1,op(e1,e2))+ & op(op(e1,e1),e3) = op(e1,op(e1,e3))+ & op(op(e1,e2),e0) = op(e1,op(e2,e0))+ & op(op(e1,e2),e1) = op(e1,op(e2,e1))+ & op(op(e1,e2),e2) = op(e1,op(e2,e2))+ & op(op(e1,e2),e3) = op(e1,op(e2,e3))+ & op(op(e1,e3),e0) = op(e1,op(e3,e0))+ & op(op(e1,e3),e1) = op(e1,op(e3,e1))+ & op(op(e1,e3),e2) = op(e1,op(e3,e2))+ & op(op(e1,e3),e3) = op(e1,op(e3,e3))+ & op(op(e2,e0),e0) = op(e2,op(e0,e0))+ & op(op(e2,e0),e1) = op(e2,op(e0,e1))+ & op(op(e2,e0),e2) = op(e2,op(e0,e2))+ & op(op(e2,e0),e3) = op(e2,op(e0,e3))+ & op(op(e2,e1),e0) = op(e2,op(e1,e0))+ & op(op(e2,e1),e1) = op(e2,op(e1,e1))+ & op(op(e2,e1),e2) = op(e2,op(e1,e2))+ & op(op(e2,e1),e3) = op(e2,op(e1,e3))+ & op(op(e2,e2),e0) = op(e2,op(e2,e0))+ & op(op(e2,e2),e1) = op(e2,op(e2,e1))+ & op(op(e2,e2),e2) = op(e2,op(e2,e2))+ & op(op(e2,e2),e3) = op(e2,op(e2,e3))+ & op(op(e2,e3),e0) = op(e2,op(e3,e0))+ & op(op(e2,e3),e1) = op(e2,op(e3,e1))+ & op(op(e2,e3),e2) = op(e2,op(e3,e2))+ & op(op(e2,e3),e3) = op(e2,op(e3,e3))+ & op(op(e3,e0),e0) = op(e3,op(e0,e0))+ & op(op(e3,e0),e1) = op(e3,op(e0,e1))+ & op(op(e3,e0),e2) = op(e3,op(e0,e2))+ & op(op(e3,e0),e3) = op(e3,op(e0,e3))+ & op(op(e3,e1),e0) = op(e3,op(e1,e0))+ & op(op(e3,e1),e1) = op(e3,op(e1,e1))+ & op(op(e3,e1),e2) = op(e3,op(e1,e2))+ & op(op(e3,e1),e3) = op(e3,op(e1,e3))+ & op(op(e3,e2),e0) = op(e3,op(e2,e0))+ & op(op(e3,e2),e1) = op(e3,op(e2,e1))+ & op(op(e3,e2),e2) = op(e3,op(e2,e2))+ & op(op(e3,e2),e3) = op(e3,op(e2,e3))+ & op(op(e3,e3),e0) = op(e3,op(e3,e0))+ & op(op(e3,e3),e1) = op(e3,op(e3,e1))+ & op(op(e3,e3),e2) = op(e3,op(e3,e2))+ & op(op(e3,e3),e3) = op(e3,op(e3,e3))+ & op(unit,e0) = e0+ & op(e0,unit) = e0+ & op(unit,e1) = e1+ & op(e1,unit) = e1+ & op(unit,e2) = e2+ & op(e2,unit) = e2+ & op(unit,e3) = e3+ & op(e3,unit) = e3+ & ( unit = e0+ | unit = e1+ | unit = e2+ | unit = e3 )+ & op(e0,inv(e0)) = unit+ & op(inv(e0),e0) = unit+ & op(e1,inv(e1)) = unit+ & op(inv(e1),e1) = unit+ & op(e2,inv(e2)) = unit+ & op(inv(e2),e2) = unit+ & op(e3,inv(e3)) = unit+ & op(inv(e3),e3) = unit+ & ( inv(e0) = e0+ | inv(e0) = e1+ | inv(e0) = e2+ | inv(e0) = e3 )+ & ( inv(e1) = e0+ | inv(e1) = e1+ | inv(e1) = e2+ | inv(e1) = e3 )+ & ( inv(e2) = e0+ | inv(e2) = e1+ | inv(e2) = e2+ | inv(e2) = e3 )+ & ( inv(e3) = e0+ | inv(e3) = e1+ | inv(e3) = e2+ | inv(e3) = e3 ) ),+ file('/tmp/tmp5awh7i/sel_ALG022+1.p_1',co1)).++fof(4,axiom,+ ( e0 != e1+ & e0 != e2+ & e0 != e3+ & e1 != e2+ & e1 != e3+ & e2 != e3 ),+ file('/tmp/tmp5awh7i/sel_ALG022+1.p_1',ax1)).++fof(5,axiom,+ ( inv(e0) = e0+ & inv(e1) = e2+ & inv(e2) = e1+ & inv(e3) = e3 ),+ file('/tmp/tmp5awh7i/sel_ALG022+1.p_1',ax4)).++fof(6,negated_conjecture,(+ ~ ( ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3 )+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3 )+ & ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3 )+ & ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3 )+ & ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3 )+ & ( op(e2,e0) = e0+ | op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3 )+ & ( op(e2,e1) = e0+ | op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3 )+ & ( op(e2,e2) = e0+ | op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3 )+ & ( op(e2,e3) = e0+ | op(e2,e3) = e1+ | op(e2,e3) = e2+ | op(e2,e3) = e3 )+ & ( op(e3,e0) = e0+ | op(e3,e0) = e1+ | op(e3,e0) = e2+ | op(e3,e0) = e3 )+ & ( op(e3,e1) = e0+ | op(e3,e1) = e1+ | op(e3,e1) = e2+ | op(e3,e1) = e3 )+ & ( op(e3,e2) = e0+ | op(e3,e2) = e1+ | op(e3,e2) = e2+ | op(e3,e2) = e3 )+ & ( op(e3,e3) = e0+ | op(e3,e3) = e1+ | op(e3,e3) = e2+ | op(e3,e3) = e3 )+ & op(op(e0,e0),e0) = op(e0,op(e0,e0))+ & op(op(e0,e0),e1) = op(e0,op(e0,e1))+ & op(op(e0,e0),e2) = op(e0,op(e0,e2))+ & op(op(e0,e0),e3) = op(e0,op(e0,e3))+ & op(op(e0,e1),e0) = op(e0,op(e1,e0))+ & op(op(e0,e1),e1) = op(e0,op(e1,e1))+ & op(op(e0,e1),e2) = op(e0,op(e1,e2))+ & op(op(e0,e1),e3) = op(e0,op(e1,e3))+ & op(op(e0,e2),e0) = op(e0,op(e2,e0))+ & op(op(e0,e2),e1) = op(e0,op(e2,e1))+ & op(op(e0,e2),e2) = op(e0,op(e2,e2))+ & op(op(e0,e2),e3) = op(e0,op(e2,e3))+ & op(op(e0,e3),e0) = op(e0,op(e3,e0))+ & op(op(e0,e3),e1) = op(e0,op(e3,e1))+ & op(op(e0,e3),e2) = op(e0,op(e3,e2))+ & op(op(e0,e3),e3) = op(e0,op(e3,e3))+ & op(op(e1,e0),e0) = op(e1,op(e0,e0))+ & op(op(e1,e0),e1) = op(e1,op(e0,e1))+ & op(op(e1,e0),e2) = op(e1,op(e0,e2))+ & op(op(e1,e0),e3) = op(e1,op(e0,e3))+ & op(op(e1,e1),e0) = op(e1,op(e1,e0))+ & op(op(e1,e1),e1) = op(e1,op(e1,e1))+ & op(op(e1,e1),e2) = op(e1,op(e1,e2))+ & op(op(e1,e1),e3) = op(e1,op(e1,e3))+ & op(op(e1,e2),e0) = op(e1,op(e2,e0))+ & op(op(e1,e2),e1) = op(e1,op(e2,e1))+ & op(op(e1,e2),e2) = op(e1,op(e2,e2))+ & op(op(e1,e2),e3) = op(e1,op(e2,e3))+ & op(op(e1,e3),e0) = op(e1,op(e3,e0))+ & op(op(e1,e3),e1) = op(e1,op(e3,e1))+ & op(op(e1,e3),e2) = op(e1,op(e3,e2))+ & op(op(e1,e3),e3) = op(e1,op(e3,e3))+ & op(op(e2,e0),e0) = op(e2,op(e0,e0))+ & op(op(e2,e0),e1) = op(e2,op(e0,e1))+ & op(op(e2,e0),e2) = op(e2,op(e0,e2))+ & op(op(e2,e0),e3) = op(e2,op(e0,e3))+ & op(op(e2,e1),e0) = op(e2,op(e1,e0))+ & op(op(e2,e1),e1) = op(e2,op(e1,e1))+ & op(op(e2,e1),e2) = op(e2,op(e1,e2))+ & op(op(e2,e1),e3) = op(e2,op(e1,e3))+ & op(op(e2,e2),e0) = op(e2,op(e2,e0))+ & op(op(e2,e2),e1) = op(e2,op(e2,e1))+ & op(op(e2,e2),e2) = op(e2,op(e2,e2))+ & op(op(e2,e2),e3) = op(e2,op(e2,e3))+ & op(op(e2,e3),e0) = op(e2,op(e3,e0))+ & op(op(e2,e3),e1) = op(e2,op(e3,e1))+ & op(op(e2,e3),e2) = op(e2,op(e3,e2))+ & op(op(e2,e3),e3) = op(e2,op(e3,e3))+ & op(op(e3,e0),e0) = op(e3,op(e0,e0))+ & op(op(e3,e0),e1) = op(e3,op(e0,e1))+ & op(op(e3,e0),e2) = op(e3,op(e0,e2))+ & op(op(e3,e0),e3) = op(e3,op(e0,e3))+ & op(op(e3,e1),e0) = op(e3,op(e1,e0))+ & op(op(e3,e1),e1) = op(e3,op(e1,e1))+ & op(op(e3,e1),e2) = op(e3,op(e1,e2))+ & op(op(e3,e1),e3) = op(e3,op(e1,e3))+ & op(op(e3,e2),e0) = op(e3,op(e2,e0))+ & op(op(e3,e2),e1) = op(e3,op(e2,e1))+ & op(op(e3,e2),e2) = op(e3,op(e2,e2))+ & op(op(e3,e2),e3) = op(e3,op(e2,e3))+ & op(op(e3,e3),e0) = op(e3,op(e3,e0))+ & op(op(e3,e3),e1) = op(e3,op(e3,e1))+ & op(op(e3,e3),e2) = op(e3,op(e3,e2))+ & op(op(e3,e3),e3) = op(e3,op(e3,e3))+ & op(unit,e0) = e0+ & op(e0,unit) = e0+ & op(unit,e1) = e1+ & op(e1,unit) = e1+ & op(unit,e2) = e2+ & op(e2,unit) = e2+ & op(unit,e3) = e3+ & op(e3,unit) = e3+ & ( unit = e0+ | unit = e1+ | unit = e2+ | unit = e3 )+ & op(e0,inv(e0)) = unit+ & op(inv(e0),e0) = unit+ & op(e1,inv(e1)) = unit+ & op(inv(e1),e1) = unit+ & op(e2,inv(e2)) = unit+ & op(inv(e2),e2) = unit+ & op(e3,inv(e3)) = unit+ & op(inv(e3),e3) = unit+ & ( inv(e0) = e0+ | inv(e0) = e1+ | inv(e0) = e2+ | inv(e0) = e3 )+ & ( inv(e1) = e0+ | inv(e1) = e1+ | inv(e1) = e2+ | inv(e1) = e3 )+ & ( inv(e2) = e0+ | inv(e2) = e1+ | inv(e2) = e2+ | inv(e2) = e3 )+ & ( inv(e3) = e0+ | inv(e3) = e1+ | inv(e3) = e2+ | inv(e3) = e3 ) ) ),+ inference(assume_negation,[status(cth)],[3])).++fof(7,plain,+ ( epred1_0+ => ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 ) ) ),+ introduced(definition)).++fof(8,plain,+ ( ( ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3 ) )+ => epred2_0 ),+ introduced(definition)).++fof(9,plain,+ ( ( ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3 )+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3 ) )+ => epred3_0 ),+ introduced(definition)).++fof(10,plain,+ ( ( ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3 )+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3 )+ & ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3 )+ & ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3 )+ & ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3 ) )+ => epred4_0 ),+ introduced(definition)).++fof(11,plain,+ ( ( ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3 )+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3 )+ & ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3 )+ & ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3 )+ & ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3 )+ & ( op(e2,e0) = e0+ | op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3 )+ & ( op(e2,e1) = e0+ | op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3 )+ & ( op(e2,e2) = e0+ | op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3 ) )+ => epred5_0 ),+ introduced(definition)).++fof(12,plain,+ ( ( ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3 )+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3 )+ & ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3 )+ & ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3 )+ & ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3 )+ & ( op(e2,e0) = e0+ | op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3 )+ & ( op(e2,e1) = e0+ | op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3 )+ & ( op(e2,e2) = e0+ | op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3 )+ & ( op(e2,e3) = e0+ | op(e2,e3) = e1+ | op(e2,e3) = e2+ | op(e2,e3) = e3 )+ & ( op(e3,e0) = e0+ | op(e3,e0) = e1+ | op(e3,e0) = e2+ | op(e3,e0) = e3 )+ & ( op(e3,e1) = e0+ | op(e3,e1) = e1+ | op(e3,e1) = e2+ | op(e3,e1) = e3 ) )+ => epred6_0 ),+ introduced(definition)).++fof(13,plain,+ ( ( ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3 )+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3 )+ & ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3 )+ & ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3 )+ & ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3 )+ & ( op(e2,e0) = e0+ | op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3 )+ & ( op(e2,e1) = e0+ | op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3 )+ & ( op(e2,e2) = e0+ | op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3 )+ & ( op(e2,e3) = e0+ | op(e2,e3) = e1+ | op(e2,e3) = e2+ | op(e2,e3) = e3 )+ & ( op(e3,e0) = e0+ | op(e3,e0) = e1+ | op(e3,e0) = e2+ | op(e3,e0) = e3 )+ & ( op(e3,e1) = e0+ | op(e3,e1) = e1+ | op(e3,e1) = e2+ | op(e3,e1) = e3 )+ & ( op(e3,e2) = e0+ | op(e3,e2) = e1+ | op(e3,e2) = e2+ | op(e3,e2) = e3 )+ & ( op(e3,e3) = e0+ | op(e3,e3) = e1+ | op(e3,e3) = e2+ | op(e3,e3) = e3 )+ & op(op(e0,e0),e0) = op(e0,op(e0,e0))+ & op(op(e0,e0),e1) = op(e0,op(e0,e1))+ & op(op(e0,e0),e2) = op(e0,op(e0,e2))+ & op(op(e0,e0),e3) = op(e0,op(e0,e3))+ & op(op(e0,e1),e0) = op(e0,op(e1,e0))+ & op(op(e0,e1),e1) = op(e0,op(e1,e1))+ & op(op(e0,e1),e2) = op(e0,op(e1,e2))+ & op(op(e0,e1),e3) = op(e0,op(e1,e3))+ & op(op(e0,e2),e0) = op(e0,op(e2,e0))+ & op(op(e0,e2),e1) = op(e0,op(e2,e1))+ & op(op(e0,e2),e2) = op(e0,op(e2,e2))+ & op(op(e0,e2),e3) = op(e0,op(e2,e3))+ & op(op(e0,e3),e0) = op(e0,op(e3,e0))+ & op(op(e0,e3),e1) = op(e0,op(e3,e1))+ & op(op(e0,e3),e2) = op(e0,op(e3,e2))+ & op(op(e0,e3),e3) = op(e0,op(e3,e3))+ & op(op(e1,e0),e0) = op(e1,op(e0,e0))+ & op(op(e1,e0),e1) = op(e1,op(e0,e1))+ & op(op(e1,e0),e2) = op(e1,op(e0,e2))+ & op(op(e1,e0),e3) = op(e1,op(e0,e3))+ & op(op(e1,e1),e0) = op(e1,op(e1,e0))+ & op(op(e1,e1),e1) = op(e1,op(e1,e1))+ & op(op(e1,e1),e2) = op(e1,op(e1,e2))+ & op(op(e1,e1),e3) = op(e1,op(e1,e3))+ & op(op(e1,e2),e0) = op(e1,op(e2,e0))+ & op(op(e1,e2),e1) = op(e1,op(e2,e1))+ & op(op(e1,e2),e2) = op(e1,op(e2,e2))+ & op(op(e1,e2),e3) = op(e1,op(e2,e3))+ & op(op(e1,e3),e0) = op(e1,op(e3,e0))+ & op(op(e1,e3),e1) = op(e1,op(e3,e1))+ & op(op(e1,e3),e2) = op(e1,op(e3,e2))+ & op(op(e1,e3),e3) = op(e1,op(e3,e3))+ & op(op(e2,e0),e0) = op(e2,op(e0,e0))+ & op(op(e2,e0),e1) = op(e2,op(e0,e1))+ & op(op(e2,e0),e2) = op(e2,op(e0,e2))+ & op(op(e2,e0),e3) = op(e2,op(e0,e3))+ & op(op(e2,e1),e0) = op(e2,op(e1,e0))+ & op(op(e2,e1),e1) = op(e2,op(e1,e1))+ & op(op(e2,e1),e2) = op(e2,op(e1,e2))+ & op(op(e2,e1),e3) = op(e2,op(e1,e3))+ & op(op(e2,e2),e0) = op(e2,op(e2,e0))+ & op(op(e2,e2),e1) = op(e2,op(e2,e1))+ & op(op(e2,e2),e2) = op(e2,op(e2,e2))+ & op(op(e2,e2),e3) = op(e2,op(e2,e3))+ & op(op(e2,e3),e0) = op(e2,op(e3,e0))+ & op(op(e2,e3),e1) = op(e2,op(e3,e1))+ & op(op(e2,e3),e2) = op(e2,op(e3,e2))+ & op(op(e2,e3),e3) = op(e2,op(e3,e3))+ & op(op(e3,e0),e0) = op(e3,op(e0,e0))+ & op(op(e3,e0),e1) = op(e3,op(e0,e1))+ & op(op(e3,e0),e2) = op(e3,op(e0,e2))+ & op(op(e3,e0),e3) = op(e3,op(e0,e3))+ & op(op(e3,e1),e0) = op(e3,op(e1,e0))+ & op(op(e3,e1),e1) = op(e3,op(e1,e1))+ & op(op(e3,e1),e2) = op(e3,op(e1,e2))+ & op(op(e3,e1),e3) = op(e3,op(e1,e3))+ & op(op(e3,e2),e0) = op(e3,op(e2,e0))+ & op(op(e3,e2),e1) = op(e3,op(e2,e1))+ & op(op(e3,e2),e2) = op(e3,op(e2,e2))+ & op(op(e3,e2),e3) = op(e3,op(e2,e3))+ & op(op(e3,e3),e0) = op(e3,op(e3,e0))+ & op(op(e3,e3),e1) = op(e3,op(e3,e1))+ & op(op(e3,e3),e2) = op(e3,op(e3,e2))+ & op(op(e3,e3),e3) = op(e3,op(e3,e3))+ & op(unit,e0) = e0+ & op(e0,unit) = e0+ & op(unit,e1) = e1+ & op(e1,unit) = e1+ & op(unit,e2) = e2+ & op(e2,unit) = e2+ & op(unit,e3) = e3+ & op(e3,unit) = e3+ & ( unit = e0+ | unit = e1+ | unit = e2+ | unit = e3 ) )+ => epred7_0 ),+ introduced(definition)).++fof(14,plain,+ ( ( ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3 )+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3 )+ & ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3 )+ & ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3 )+ & ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3 )+ & ( op(e2,e0) = e0+ | op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3 )+ & ( op(e2,e1) = e0+ | op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3 )+ & ( op(e2,e2) = e0+ | op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3 )+ & ( op(e2,e3) = e0+ | op(e2,e3) = e1+ | op(e2,e3) = e2+ | op(e2,e3) = e3 )+ & ( op(e3,e0) = e0+ | op(e3,e0) = e1+ | op(e3,e0) = e2+ | op(e3,e0) = e3 )+ & ( op(e3,e1) = e0+ | op(e3,e1) = e1+ | op(e3,e1) = e2+ | op(e3,e1) = e3 )+ & ( op(e3,e2) = e0+ | op(e3,e2) = e1+ | op(e3,e2) = e2+ | op(e3,e2) = e3 )+ & ( op(e3,e3) = e0+ | op(e3,e3) = e1+ | op(e3,e3) = e2+ | op(e3,e3) = e3 )+ & op(op(e0,e0),e0) = op(e0,op(e0,e0))+ & op(op(e0,e0),e1) = op(e0,op(e0,e1))+ & op(op(e0,e0),e2) = op(e0,op(e0,e2))+ & op(op(e0,e0),e3) = op(e0,op(e0,e3))+ & op(op(e0,e1),e0) = op(e0,op(e1,e0))+ & op(op(e0,e1),e1) = op(e0,op(e1,e1))+ & op(op(e0,e1),e2) = op(e0,op(e1,e2))+ & op(op(e0,e1),e3) = op(e0,op(e1,e3))+ & op(op(e0,e2),e0) = op(e0,op(e2,e0))+ & op(op(e0,e2),e1) = op(e0,op(e2,e1))+ & op(op(e0,e2),e2) = op(e0,op(e2,e2))+ & op(op(e0,e2),e3) = op(e0,op(e2,e3))+ & op(op(e0,e3),e0) = op(e0,op(e3,e0))+ & op(op(e0,e3),e1) = op(e0,op(e3,e1))+ & op(op(e0,e3),e2) = op(e0,op(e3,e2))+ & op(op(e0,e3),e3) = op(e0,op(e3,e3))+ & op(op(e1,e0),e0) = op(e1,op(e0,e0))+ & op(op(e1,e0),e1) = op(e1,op(e0,e1))+ & op(op(e1,e0),e2) = op(e1,op(e0,e2))+ & op(op(e1,e0),e3) = op(e1,op(e0,e3))+ & op(op(e1,e1),e0) = op(e1,op(e1,e0))+ & op(op(e1,e1),e1) = op(e1,op(e1,e1))+ & op(op(e1,e1),e2) = op(e1,op(e1,e2))+ & op(op(e1,e1),e3) = op(e1,op(e1,e3))+ & op(op(e1,e2),e0) = op(e1,op(e2,e0))+ & op(op(e1,e2),e1) = op(e1,op(e2,e1))+ & op(op(e1,e2),e2) = op(e1,op(e2,e2))+ & op(op(e1,e2),e3) = op(e1,op(e2,e3))+ & op(op(e1,e3),e0) = op(e1,op(e3,e0))+ & op(op(e1,e3),e1) = op(e1,op(e3,e1))+ & op(op(e1,e3),e2) = op(e1,op(e3,e2))+ & op(op(e1,e3),e3) = op(e1,op(e3,e3))+ & op(op(e2,e0),e0) = op(e2,op(e0,e0))+ & op(op(e2,e0),e1) = op(e2,op(e0,e1))+ & op(op(e2,e0),e2) = op(e2,op(e0,e2))+ & op(op(e2,e0),e3) = op(e2,op(e0,e3))+ & op(op(e2,e1),e0) = op(e2,op(e1,e0))+ & op(op(e2,e1),e1) = op(e2,op(e1,e1))+ & op(op(e2,e1),e2) = op(e2,op(e1,e2))+ & op(op(e2,e1),e3) = op(e2,op(e1,e3))+ & op(op(e2,e2),e0) = op(e2,op(e2,e0))+ & op(op(e2,e2),e1) = op(e2,op(e2,e1))+ & op(op(e2,e2),e2) = op(e2,op(e2,e2))+ & op(op(e2,e2),e3) = op(e2,op(e2,e3))+ & op(op(e2,e3),e0) = op(e2,op(e3,e0))+ & op(op(e2,e3),e1) = op(e2,op(e3,e1))+ & op(op(e2,e3),e2) = op(e2,op(e3,e2))+ & op(op(e2,e3),e3) = op(e2,op(e3,e3))+ & op(op(e3,e0),e0) = op(e3,op(e0,e0))+ & op(op(e3,e0),e1) = op(e3,op(e0,e1))+ & op(op(e3,e0),e2) = op(e3,op(e0,e2))+ & op(op(e3,e0),e3) = op(e3,op(e0,e3))+ & op(op(e3,e1),e0) = op(e3,op(e1,e0))+ & op(op(e3,e1),e1) = op(e3,op(e1,e1))+ & op(op(e3,e1),e2) = op(e3,op(e1,e2))+ & op(op(e3,e1),e3) = op(e3,op(e1,e3))+ & op(op(e3,e2),e0) = op(e3,op(e2,e0))+ & op(op(e3,e2),e1) = op(e3,op(e2,e1))+ & op(op(e3,e2),e2) = op(e3,op(e2,e2))+ & op(op(e3,e2),e3) = op(e3,op(e2,e3))+ & op(op(e3,e3),e0) = op(e3,op(e3,e0))+ & op(op(e3,e3),e1) = op(e3,op(e3,e1))+ & op(op(e3,e3),e2) = op(e3,op(e3,e2))+ & op(op(e3,e3),e3) = op(e3,op(e3,e3))+ & op(unit,e0) = e0+ & op(e0,unit) = e0+ & op(unit,e1) = e1+ & op(e1,unit) = e1+ & op(unit,e2) = e2+ & op(e2,unit) = e2+ & op(unit,e3) = e3+ & op(e3,unit) = e3+ & ( unit = e0+ | unit = e1+ | unit = e2+ | unit = e3 )+ & op(e0,inv(e0)) = unit+ & op(inv(e0),e0) = unit+ & op(e1,inv(e1)) = unit+ & op(inv(e1),e1) = unit+ & op(e2,inv(e2)) = unit+ & op(inv(e2),e2) = unit+ & op(e3,inv(e3)) = unit+ & op(inv(e3),e3) = unit+ & ( inv(e0) = e0+ | inv(e0) = e1+ | inv(e0) = e2+ | inv(e0) = e3 )+ & ( inv(e1) = e0+ | inv(e1) = e1+ | inv(e1) = e2+ | inv(e1) = e3 )+ & ( inv(e2) = e0+ | inv(e2) = e1+ | inv(e2) = e2+ | inv(e2) = e3 ) )+ => epred8_0 ),+ introduced(definition)).++fof(15,negated_conjecture,(+ ~ ( epred8_0+ & ( inv(e3) = e0+ | inv(e3) = e1+ | inv(e3) = e2+ | inv(e3) = e3 ) ) ),+ inference(apply_def,[status(esa)],[6,14,theory(equality)])).++fof(16,plain,+ ( ( ~ ( epred1_0+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3 ) )+ => epred2_0 ),+ inference(apply_def,[status(esa)],[8,7,theory(equality)])).++fof(17,plain,+ ( ( epred2_0+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3 ) )+ => epred3_0 ),+ inference(apply_def,[status(esa)],[9,16,theory(equality)])).++fof(18,plain,+ ( ( epred3_0+ & ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3 )+ & ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3 )+ & ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3 ) )+ => epred4_0 ),+ inference(apply_def,[status(esa)],[10,17,theory(equality)])).++fof(19,plain,+ ( ( epred4_0+ & ( op(e2,e0) = e0+ | op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3 )+ & ( op(e2,e1) = e0+ | op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3 )+ & ( op(e2,e2) = e0+ | op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3 ) )+ => epred5_0 ),+ inference(apply_def,[status(esa)],[11,18,theory(equality)])).++fof(20,plain,+ ( ( epred5_0+ & ( op(e2,e3) = e0+ | op(e2,e3) = e1+ | op(e2,e3) = e2+ | op(e2,e3) = e3 )+ & ( op(e3,e0) = e0+ | op(e3,e0) = e1+ | op(e3,e0) = e2+ | op(e3,e0) = e3 )+ & ( op(e3,e1) = e0+ | op(e3,e1) = e1+ | op(e3,e1) = e2+ | op(e3,e1) = e3 ) )+ => epred6_0 ),+ inference(apply_def,[status(esa)],[12,19,theory(equality)])).++fof(21,plain,+ ( ( epred6_0+ & ( op(e3,e2) = e0+ | op(e3,e2) = e1+ | op(e3,e2) = e2+ | op(e3,e2) = e3 )+ & ( op(e3,e3) = e0+ | op(e3,e3) = e1+ | op(e3,e3) = e2+ | op(e3,e3) = e3 )+ & op(op(e0,e0),e0) = op(e0,op(e0,e0))+ & op(op(e0,e0),e1) = op(e0,op(e0,e1))+ & op(op(e0,e0),e2) = op(e0,op(e0,e2))+ & op(op(e0,e0),e3) = op(e0,op(e0,e3))+ & op(op(e0,e1),e0) = op(e0,op(e1,e0))+ & op(op(e0,e1),e1) = op(e0,op(e1,e1))+ & op(op(e0,e1),e2) = op(e0,op(e1,e2))+ & op(op(e0,e1),e3) = op(e0,op(e1,e3))+ & op(op(e0,e2),e0) = op(e0,op(e2,e0))+ & op(op(e0,e2),e1) = op(e0,op(e2,e1))+ & op(op(e0,e2),e2) = op(e0,op(e2,e2))+ & op(op(e0,e2),e3) = op(e0,op(e2,e3))+ & op(op(e0,e3),e0) = op(e0,op(e3,e0))+ & op(op(e0,e3),e1) = op(e0,op(e3,e1))+ & op(op(e0,e3),e2) = op(e0,op(e3,e2))+ & op(op(e0,e3),e3) = op(e0,op(e3,e3))+ & op(op(e1,e0),e0) = op(e1,op(e0,e0))+ & op(op(e1,e0),e1) = op(e1,op(e0,e1))+ & op(op(e1,e0),e2) = op(e1,op(e0,e2))+ & op(op(e1,e0),e3) = op(e1,op(e0,e3))+ & op(op(e1,e1),e0) = op(e1,op(e1,e0))+ & op(op(e1,e1),e1) = op(e1,op(e1,e1))+ & op(op(e1,e1),e2) = op(e1,op(e1,e2))+ & op(op(e1,e1),e3) = op(e1,op(e1,e3))+ & op(op(e1,e2),e0) = op(e1,op(e2,e0))+ & op(op(e1,e2),e1) = op(e1,op(e2,e1))+ & op(op(e1,e2),e2) = op(e1,op(e2,e2))+ & op(op(e1,e2),e3) = op(e1,op(e2,e3))+ & op(op(e1,e3),e0) = op(e1,op(e3,e0))+ & op(op(e1,e3),e1) = op(e1,op(e3,e1))+ & op(op(e1,e3),e2) = op(e1,op(e3,e2))+ & op(op(e1,e3),e3) = op(e1,op(e3,e3))+ & op(op(e2,e0),e0) = op(e2,op(e0,e0))+ & op(op(e2,e0),e1) = op(e2,op(e0,e1))+ & op(op(e2,e0),e2) = op(e2,op(e0,e2))+ & op(op(e2,e0),e3) = op(e2,op(e0,e3))+ & op(op(e2,e1),e0) = op(e2,op(e1,e0))+ & op(op(e2,e1),e1) = op(e2,op(e1,e1))+ & op(op(e2,e1),e2) = op(e2,op(e1,e2))+ & op(op(e2,e1),e3) = op(e2,op(e1,e3))+ & op(op(e2,e2),e0) = op(e2,op(e2,e0))+ & op(op(e2,e2),e1) = op(e2,op(e2,e1))+ & op(op(e2,e2),e2) = op(e2,op(e2,e2))+ & op(op(e2,e2),e3) = op(e2,op(e2,e3))+ & op(op(e2,e3),e0) = op(e2,op(e3,e0))+ & op(op(e2,e3),e1) = op(e2,op(e3,e1))+ & op(op(e2,e3),e2) = op(e2,op(e3,e2))+ & op(op(e2,e3),e3) = op(e2,op(e3,e3))+ & op(op(e3,e0),e0) = op(e3,op(e0,e0))+ & op(op(e3,e0),e1) = op(e3,op(e0,e1))+ & op(op(e3,e0),e2) = op(e3,op(e0,e2))+ & op(op(e3,e0),e3) = op(e3,op(e0,e3))+ & op(op(e3,e1),e0) = op(e3,op(e1,e0))+ & op(op(e3,e1),e1) = op(e3,op(e1,e1))+ & op(op(e3,e1),e2) = op(e3,op(e1,e2))+ & op(op(e3,e1),e3) = op(e3,op(e1,e3))+ & op(op(e3,e2),e0) = op(e3,op(e2,e0))+ & op(op(e3,e2),e1) = op(e3,op(e2,e1))+ & op(op(e3,e2),e2) = op(e3,op(e2,e2))+ & op(op(e3,e2),e3) = op(e3,op(e2,e3))+ & op(op(e3,e3),e0) = op(e3,op(e3,e0))+ & op(op(e3,e3),e1) = op(e3,op(e3,e1))+ & op(op(e3,e3),e2) = op(e3,op(e3,e2))+ & op(op(e3,e3),e3) = op(e3,op(e3,e3))+ & op(unit,e0) = e0+ & op(e0,unit) = e0+ & op(unit,e1) = e1+ & op(e1,unit) = e1+ & op(unit,e2) = e2+ & op(e2,unit) = e2+ & op(unit,e3) = e3+ & op(e3,unit) = e3+ & ( unit = e0+ | unit = e1+ | unit = e2+ | unit = e3 ) )+ => epred7_0 ),+ inference(apply_def,[status(esa)],[13,20,theory(equality)])).++fof(22,plain,+ ( ( epred7_0+ & op(e0,inv(e0)) = unit+ & op(inv(e0),e0) = unit+ & op(e1,inv(e1)) = unit+ & op(inv(e1),e1) = unit+ & op(e2,inv(e2)) = unit+ & op(inv(e2),e2) = unit+ & op(e3,inv(e3)) = unit+ & op(inv(e3),e3) = unit+ & ( inv(e0) = e0+ | inv(e0) = e1+ | inv(e0) = e2+ | inv(e0) = e3 )+ & ( inv(e1) = e0+ | inv(e1) = e1+ | inv(e1) = e2+ | inv(e1) = e3 )+ & ( inv(e2) = e0+ | inv(e2) = e1+ | inv(e2) = e2+ | inv(e2) = e3 ) )+ => epred8_0 ),+ inference(apply_def,[status(esa)],[14,21,theory(equality)])).++cnf(23,plain,+ ( op(e3,e3) = e0 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(24,plain,+ ( op(e3,e2) = e1 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(25,plain,+ ( op(e3,e1) = e2 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(26,plain,+ ( op(e3,e0) = e3 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(27,plain,+ ( op(e2,e3) = e1 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(28,plain,+ ( op(e2,e2) = e3 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(29,plain,+ ( op(e2,e1) = e0 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(30,plain,+ ( op(e2,e0) = e2 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(31,plain,+ ( op(e1,e3) = e2 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(32,plain,+ ( op(e1,e2) = e0 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(33,plain,+ ( op(e1,e1) = e3 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(34,plain,+ ( op(e1,e0) = e1 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(35,plain,+ ( op(e0,e3) = e3 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(36,plain,+ ( op(e0,e2) = e2 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(37,plain,+ ( op(e0,e1) = e1 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(38,plain,+ ( op(e0,e0) = e0 ),+ inference(split_conjunct,[status(thm)],[1])).++cnf(39,plain,+ ( unit = e0 ),+ inference(split_conjunct,[status(thm)],[2])).++fof(40,negated_conjecture,+ ( ~ epred8_0+ | ( inv(e3) != e0+ & inv(e3) != e1+ & inv(e3) != e2+ & inv(e3) != e3 ) ),+ inference(fof_nnf,[status(thm)],[15])).++fof(41,negated_conjecture,+ ( ( inv(e3) != e0+ | ~ epred8_0 )+ & ( inv(e3) != e1+ | ~ epred8_0 )+ & ( inv(e3) != e2+ | ~ epred8_0 )+ & ( inv(e3) != e3+ | ~ epred8_0 ) ),+ inference(distribute,[status(thm)],[40])).++cnf(42,negated_conjecture,+ ( ~ epred8_0+ | inv(e3) != e3 ),+ inference(split_conjunct,[status(thm)],[41])).++cnf(46,plain,+ ( e2 != e3 ),+ inference(split_conjunct,[status(thm)],[4])).++cnf(47,plain,+ ( e1 != e3 ),+ inference(split_conjunct,[status(thm)],[4])).++cnf(49,plain,+ ( e0 != e3 ),+ inference(split_conjunct,[status(thm)],[4])).++cnf(52,plain,+ ( inv(e3) = e3 ),+ inference(split_conjunct,[status(thm)],[5])).++cnf(53,plain,+ ( inv(e2) = e1 ),+ inference(split_conjunct,[status(thm)],[5])).++cnf(54,plain,+ ( inv(e1) = e2 ),+ inference(split_conjunct,[status(thm)],[5])).++cnf(55,plain,+ ( inv(e0) = e0 ),+ inference(split_conjunct,[status(thm)],[5])).++fof(56,plain,+ ( ~ epred1_0+ | ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 ) ),+ inference(fof_nnf,[status(thm)],[7])).++fof(57,plain,+ ( ( op(e0,e0) = e2+ | op(e0,e0) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e0,e0) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e0,e0) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e0,e0) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e1,e1) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e1,e1) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e1,e1) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e1,e1) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e2,e2) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e2,e2) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e2,e2) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e2,e2) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e3,e3) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e3,e3) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e3,e3) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e3,e3) = e1+ | op(e0,e0) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e0,e0) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e0,e0) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e0,e0) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e0,e0) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e1,e1) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e1,e1) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e1,e1) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e1,e1) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e2,e2) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e2,e2) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e2,e2) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e2,e2) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e3,e3) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e3,e3) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e3,e3) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e3,e3) = e1+ | op(e1,e1) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e0,e0) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e0,e0) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e0,e0) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e0,e0) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e1,e1) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e1,e1) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e1,e1) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e1,e1) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e2,e2) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e2,e2) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e2,e2) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e2,e2) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e3,e3) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e3,e3) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e3,e3) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e3,e3) = e1+ | op(e2,e2) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e0,e0) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e0,e0) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e0,e0) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e0,e0) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e1,e1) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e1,e1) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e1,e1) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e1,e1) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e2,e2) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e2,e2) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e2,e2) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e2,e2) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e0,e0) = e2+ | op(e3,e3) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e1,e1) = e2+ | op(e3,e3) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e2,e2) = e2+ | op(e3,e3) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 )+ & ( op(e3,e3) = e2+ | op(e3,e3) = e1+ | op(e3,e3) = e0+ | ~ epred1_0 ) ),+ inference(distribute,[status(thm)],[56])).++cnf(100,plain,+ ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | ~ epred1_0 ),+ inference(split_conjunct,[status(thm)],[57])).++fof(122,plain,+ ( epred1_0+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 )+ | ( op(e0,e0) != e0+ & op(e0,e0) != e1+ & op(e0,e0) != e2+ & op(e0,e0) != e3 )+ | ( op(e0,e1) != e0+ & op(e0,e1) != e1+ & op(e0,e1) != e2+ & op(e0,e1) != e3 )+ | epred2_0 ),+ inference(fof_nnf,[status(thm)],[16])).++fof(123,plain,+ ( ( op(e0,e1) != e0+ | op(e0,e0) != e0+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e0+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e0+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e0+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e1+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e1+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e1+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e1+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e2+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e2+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e2+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e2+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e3+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e3+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e3+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e3+ | op(e0,e0) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e0+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e0+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e0+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e0+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e1+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e1+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e1+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e1+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e2+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e2+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e2+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e2+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e3+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e3+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e3+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e3+ | op(e1,e1) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e0+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e0+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e0+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e0+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e1+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e1+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e1+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e1+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e2+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e2+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e2+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e2+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e3+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e3+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e3+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e3+ | op(e2,e2) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e0+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e0+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e0+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e0+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e1+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e1+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e1+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e1+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e2+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e2+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e2+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e2+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e0+ | op(e0,e0) != e3+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e1+ | op(e0,e0) != e3+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e2+ | op(e0,e0) != e3+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 )+ & ( op(e0,e1) != e3+ | op(e0,e0) != e3+ | op(e3,e3) = e3+ | epred1_0+ | epred2_0 ) ),+ inference(distribute,[status(thm)],[122])).++cnf(186,plain,+ ( epred2_0+ | epred1_0+ | op(e0,e0) = e3+ | op(e0,e0) != e0+ | op(e0,e1) != e1 ),+ inference(split_conjunct,[status(thm)],[123])).++fof(188,plain,+ ( ~ epred2_0+ | ( op(e0,e2) != e0+ & op(e0,e2) != e1+ & op(e0,e2) != e2+ & op(e0,e2) != e3 )+ | ( op(e0,e3) != e0+ & op(e0,e3) != e1+ & op(e0,e3) != e2+ & op(e0,e3) != e3 )+ | ( op(e1,e0) != e0+ & op(e1,e0) != e1+ & op(e1,e0) != e2+ & op(e1,e0) != e3 )+ | epred3_0 ),+ inference(fof_nnf,[status(thm)],[17])).++fof(189,plain,+ ( ( op(e1,e0) != e0+ | op(e0,e3) != e0+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e0+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e0+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e0+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e1+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e1+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e1+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e1+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e2+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e2+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e2+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e2+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e3+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e3+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e3+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e3+ | op(e0,e2) != e0+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e0+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e0+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e0+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e0+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e1+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e1+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e1+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e1+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e2+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e2+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e2+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e2+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e3+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e3+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e3+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e3+ | op(e0,e2) != e1+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e0+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e0+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e0+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e0+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e1+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e1+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e1+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e1+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e2+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e2+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e2+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e2+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e3+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e3+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e3+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e3+ | op(e0,e2) != e2+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e0+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e0+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e0+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e0+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e1+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e1+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e1+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e1+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e2+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e2+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e2+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e2+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e0+ | op(e0,e3) != e3+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e1+ | op(e0,e3) != e3+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e2+ | op(e0,e3) != e3+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 )+ & ( op(e1,e0) != e3+ | op(e0,e3) != e3+ | op(e0,e2) != e3+ | ~ epred2_0+ | epred3_0 ) ),+ inference(distribute,[status(thm)],[188])).++cnf(208,plain,+ ( epred3_0+ | ~ epred2_0+ | op(e0,e2) != e2+ | op(e0,e3) != e3+ | op(e1,e0) != e1 ),+ inference(split_conjunct,[status(thm)],[189])).++fof(254,plain,+ ( ~ epred3_0+ | ( op(e1,e1) != e0+ & op(e1,e1) != e1+ & op(e1,e1) != e2+ & op(e1,e1) != e3 )+ | ( op(e1,e2) != e0+ & op(e1,e2) != e1+ & op(e1,e2) != e2+ & op(e1,e2) != e3 )+ | ( op(e1,e3) != e0+ & op(e1,e3) != e1+ & op(e1,e3) != e2+ & op(e1,e3) != e3 )+ | epred4_0 ),+ inference(fof_nnf,[status(thm)],[18])).++fof(255,plain,+ ( ( op(e1,e3) != e0+ | op(e1,e2) != e0+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e0+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e0+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e0+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e1+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e1+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e1+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e1+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e2+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e2+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e2+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e2+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e3+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e3+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e3+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e3+ | op(e1,e1) != e0+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e0+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e0+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e0+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e0+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e1+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e1+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e1+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e1+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e2+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e2+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e2+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e2+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e3+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e3+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e3+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e3+ | op(e1,e1) != e1+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e0+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e0+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e0+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e0+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e1+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e1+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e1+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e1+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e2+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e2+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e2+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e2+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e3+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e3+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e3+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e3+ | op(e1,e1) != e2+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e0+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e0+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e0+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e0+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e1+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e1+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e1+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e1+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e2+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e2+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e2+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e2+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e0+ | op(e1,e2) != e3+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e1+ | op(e1,e2) != e3+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e2+ | op(e1,e2) != e3+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 )+ & ( op(e1,e3) != e3+ | op(e1,e2) != e3+ | op(e1,e1) != e3+ | ~ epred3_0+ | epred4_0 ) ),+ inference(distribute,[status(thm)],[254])).++cnf(269,plain,+ ( epred4_0+ | ~ epred3_0+ | op(e1,e1) != e3+ | op(e1,e2) != e0+ | op(e1,e3) != e2 ),+ inference(split_conjunct,[status(thm)],[255])).++fof(320,plain,+ ( ~ epred4_0+ | ( op(e2,e0) != e0+ & op(e2,e0) != e1+ & op(e2,e0) != e2+ & op(e2,e0) != e3 )+ | ( op(e2,e1) != e0+ & op(e2,e1) != e1+ & op(e2,e1) != e2+ & op(e2,e1) != e3 )+ | ( op(e2,e2) != e0+ & op(e2,e2) != e1+ & op(e2,e2) != e2+ & op(e2,e2) != e3 )+ | epred5_0 ),+ inference(fof_nnf,[status(thm)],[19])).++fof(321,plain,+ ( ( op(e2,e2) != e0+ | op(e2,e1) != e0+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e0+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e0+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e0+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e1+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e1+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e1+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e1+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e2+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e2+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e2+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e2+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e3+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e3+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e3+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e3+ | op(e2,e0) != e0+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e0+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e0+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e0+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e0+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e1+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e1+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e1+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e1+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e2+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e2+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e2+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e2+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e3+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e3+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e3+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e3+ | op(e2,e0) != e1+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e0+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e0+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e0+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e0+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e1+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e1+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e1+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e1+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e2+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e2+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e2+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e2+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e3+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e3+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e3+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e3+ | op(e2,e0) != e2+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e0+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e0+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e0+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e0+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e1+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e1+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e1+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e1+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e2+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e2+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e2+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e2+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e0+ | op(e2,e1) != e3+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e1+ | op(e2,e1) != e3+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e2+ | op(e2,e1) != e3+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 )+ & ( op(e2,e2) != e3+ | op(e2,e1) != e3+ | op(e2,e0) != e3+ | ~ epred4_0+ | epred5_0 ) ),+ inference(distribute,[status(thm)],[320])).++cnf(350,plain,+ ( epred5_0+ | ~ epred4_0+ | op(e2,e0) != e2+ | op(e2,e1) != e0+ | op(e2,e2) != e3 ),+ inference(split_conjunct,[status(thm)],[321])).++fof(386,plain,+ ( ~ epred5_0+ | ( op(e2,e3) != e0+ & op(e2,e3) != e1+ & op(e2,e3) != e2+ & op(e2,e3) != e3 )+ | ( op(e3,e0) != e0+ & op(e3,e0) != e1+ & op(e3,e0) != e2+ & op(e3,e0) != e3 )+ | ( op(e3,e1) != e0+ & op(e3,e1) != e1+ & op(e3,e1) != e2+ & op(e3,e1) != e3 )+ | epred6_0 ),+ inference(fof_nnf,[status(thm)],[20])).++fof(387,plain,+ ( ( op(e3,e1) != e0+ | op(e3,e0) != e0+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e0+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e0+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e0+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e1+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e1+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e1+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e1+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e2+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e2+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e2+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e2+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e3+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e3+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e3+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e3+ | op(e2,e3) != e0+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e0+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e0+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e0+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e0+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e1+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e1+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e1+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e1+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e2+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e2+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e2+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e2+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e3+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e3+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e3+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e3+ | op(e2,e3) != e1+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e0+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e0+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e0+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e0+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e1+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e1+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e1+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e1+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e2+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e2+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e2+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e2+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e3+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e3+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e3+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e3+ | op(e2,e3) != e2+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e0+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e0+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e0+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e0+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e1+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e1+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e1+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e1+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e2+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e2+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e2+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e2+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e0+ | op(e3,e0) != e3+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e1+ | op(e3,e0) != e3+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e2+ | op(e3,e0) != e3+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 )+ & ( op(e3,e1) != e3+ | op(e3,e0) != e3+ | op(e2,e3) != e3+ | ~ epred5_0+ | epred6_0 ) ),+ inference(distribute,[status(thm)],[386])).++cnf(421,plain,+ ( epred6_0+ | ~ epred5_0+ | op(e2,e3) != e1+ | op(e3,e0) != e3+ | op(e3,e1) != e2 ),+ inference(split_conjunct,[status(thm)],[387])).++fof(452,plain,+ ( ~ epred6_0+ | ( op(e3,e2) != e0+ & op(e3,e2) != e1+ & op(e3,e2) != e2+ & op(e3,e2) != e3 )+ | ( op(e3,e3) != e0+ & op(e3,e3) != e1+ & op(e3,e3) != e2+ & op(e3,e3) != e3 )+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | ( unit != e0+ & unit != e1+ & unit != e2+ & unit != e3 )+ | epred7_0 ),+ inference(fof_nnf,[status(thm)],[21])).++fof(453,plain,+ ( ( unit != e0+ | op(e3,e3) != e0+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e0+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e0+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e0+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e1+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e1+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e1+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e1+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e2+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e2+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e2+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e2+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e3+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e3+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e3+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e3+ | op(e3,e2) != e0+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e0+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e0+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e0+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e0+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e1+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e1+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e1+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e1+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e2+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e2+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e2+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e2+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e3+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e3+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e3+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e3+ | op(e3,e2) != e1+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e0+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e0+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e0+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e0+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e1+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e1+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e1+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e1+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e2+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e2+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e2+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e2+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e3+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e3+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e3+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e3+ | op(e3,e2) != e2+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e0+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e0+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e0+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e0+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e1+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e1+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e1+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e1+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e2+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e2+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e2+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e2+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e0+ | op(e3,e3) != e3+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e1+ | op(e3,e3) != e3+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e2+ | op(e3,e3) != e3+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 )+ & ( unit != e3+ | op(e3,e3) != e3+ | op(e3,e2) != e3+ | ~ epred6_0+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(unit,e0) != e0+ | op(e0,unit) != e0+ | op(unit,e1) != e1+ | op(e1,unit) != e1+ | op(unit,e2) != e2+ | op(e2,unit) != e2+ | op(unit,e3) != e3+ | op(e3,unit) != e3+ | epred7_0 ) ),+ inference(distribute,[status(thm)],[452])).++cnf(501,plain,+ ( epred7_0+ | op(e3,unit) != e3+ | op(unit,e3) != e3+ | op(e2,unit) != e2+ | op(unit,e2) != e2+ | op(e1,unit) != e1+ | op(unit,e1) != e1+ | op(e0,unit) != e0+ | op(unit,e0) != e0+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | ~ epred6_0+ | op(e3,e2) != e1+ | op(e3,e3) != e0+ | unit != e0 ),+ inference(split_conjunct,[status(thm)],[453])).++fof(518,plain,+ ( ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | ( inv(e0) != e0+ & inv(e0) != e1+ & inv(e0) != e2+ & inv(e0) != e3 )+ | ( inv(e1) != e0+ & inv(e1) != e1+ & inv(e1) != e2+ & inv(e1) != e3 )+ | ( inv(e2) != e0+ & inv(e2) != e1+ & inv(e2) != e2+ & inv(e2) != e3 )+ | epred8_0 ),+ inference(fof_nnf,[status(thm)],[22])).++fof(519,plain,+ ( ( inv(e2) != e0+ | inv(e1) != e0+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e0+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e0+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e0+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e1+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e1+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e1+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e1+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e2+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e2+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e2+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e2+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e3+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e3+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e3+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e3+ | inv(e0) != e0+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e0+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e0+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e0+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e0+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e1+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e1+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e1+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e1+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e2+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e2+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e2+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e2+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e3+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e3+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e3+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e3+ | inv(e0) != e1+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e0+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e0+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e0+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e0+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e1+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e1+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e1+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e1+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e2+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e2+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e2+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e2+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e3+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e3+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e3+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e3+ | inv(e0) != e2+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e0+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e0+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e0+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e0+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e1+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e1+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e1+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e1+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e2+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e2+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e2+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e2+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e0+ | inv(e1) != e3+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e1+ | inv(e1) != e3+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e2+ | inv(e1) != e3+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 )+ & ( inv(e2) != e3+ | inv(e1) != e3+ | inv(e0) != e3+ | ~ epred7_0+ | op(e0,inv(e0)) != unit+ | op(inv(e0),e0) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e1),e1) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e2),e2) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e3),e3) != unit+ | epred8_0 ) ),+ inference(distribute,[status(thm)],[518])).++cnf(574,plain,+ ( epred8_0+ | op(inv(e3),e3) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e2),e2) != unit+ | op(e2,inv(e2)) != unit+ | op(inv(e1),e1) != unit+ | op(e1,inv(e1)) != unit+ | op(inv(e0),e0) != unit+ | op(e0,inv(e0)) != unit+ | ~ epred7_0+ | inv(e0) != e0+ | inv(e1) != e2+ | inv(e2) != e1 ),+ inference(split_conjunct,[status(thm)],[519])).++cnf(584,plain,+ ( unit != e3 ),+ inference(rw,[status(thm)],[49,39,theory(equality)])).++cnf(587,plain,+ ( inv(unit) = e0 ),+ inference(rw,[status(thm)],[55,39,theory(equality)])).++cnf(588,plain,+ ( inv(unit) = unit ),+ inference(rw,[status(thm)],[587,39,theory(equality)])).++cnf(592,plain,+ ( op(unit,unit) = e0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[38,39,theory(equality)]),39,theory(equality)])).++cnf(593,plain,+ ( op(unit,unit) = unit ),+ inference(rw,[status(thm)],[592,39,theory(equality)])).++cnf(594,plain,+ ( op(unit,e1) = e1 ),+ inference(rw,[status(thm)],[37,39,theory(equality)])).++cnf(595,plain,+ ( op(unit,e2) = e2 ),+ inference(rw,[status(thm)],[36,39,theory(equality)])).++cnf(597,negated_conjecture,+ ( $false+ | ~ epred8_0 ),+ inference(rw,[status(thm)],[42,52,theory(equality)])).++cnf(598,negated_conjecture,+ ( ~ epred8_0 ),+ inference(cn,[status(thm)],[597,theory(equality)])).++cnf(599,plain,+ ( op(unit,e3) = e3 ),+ inference(rw,[status(thm)],[35,39,theory(equality)])).++cnf(600,plain,+ ( op(e1,unit) = e1 ),+ inference(rw,[status(thm)],[34,39,theory(equality)])).++cnf(601,plain,+ ( op(e1,e2) = unit ),+ inference(rw,[status(thm)],[32,39,theory(equality)])).++cnf(602,plain,+ ( op(e2,unit) = e2 ),+ inference(rw,[status(thm)],[30,39,theory(equality)])).++cnf(603,plain,+ ( op(e2,e1) = unit ),+ inference(rw,[status(thm)],[29,39,theory(equality)])).++cnf(604,plain,+ ( op(e3,unit) = e3 ),+ inference(rw,[status(thm)],[26,39,theory(equality)])).++cnf(605,plain,+ ( op(e3,e3) = unit ),+ inference(rw,[status(thm)],[23,39,theory(equality)])).++cnf(831,plain,+ ( e3 = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | ~ epred1_0 ),+ inference(rw,[status(thm)],[100,33,theory(equality)])).++cnf(832,plain,+ ( e3 = unit+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | ~ epred1_0 ),+ inference(rw,[status(thm)],[831,39,theory(equality)])).++cnf(833,plain,+ ( e3 = unit+ | e3 = e1+ | op(e1,e1) = e2+ | ~ epred1_0 ),+ inference(rw,[status(thm)],[832,33,theory(equality)])).++cnf(834,plain,+ ( e3 = unit+ | e3 = e1+ | e3 = e2+ | ~ epred1_0 ),+ inference(rw,[status(thm)],[833,33,theory(equality)])).++cnf(835,plain,+ ( e3 = unit+ | e2 = e3+ | ~ epred1_0 ),+ inference(sr,[status(thm)],[834,47,theory(equality)])).++cnf(836,plain,+ ( e3 = unit+ | ~ epred1_0 ),+ inference(sr,[status(thm)],[835,46,theory(equality)])).++cnf(1003,plain,+ ( unit = e3+ | epred1_0+ | epred2_0+ | op(e0,e0) != e0+ | op(e0,e1) != e1 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[186,39,theory(equality)]),39,theory(equality)]),593,theory(equality)])).++cnf(1004,plain,+ ( unit = e3+ | epred1_0+ | epred2_0+ | unit != e0+ | op(e0,e1) != e1 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1003,39,theory(equality)]),39,theory(equality)]),593,theory(equality)])).++cnf(1005,plain,+ ( unit = e3+ | epred1_0+ | epred2_0+ | $false+ | op(e0,e1) != e1 ),+ inference(rw,[status(thm)],[1004,39,theory(equality)])).++cnf(1006,plain,+ ( unit = e3+ | epred1_0+ | epred2_0+ | $false+ | $false ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[1005,39,theory(equality)]),594,theory(equality)])).++cnf(1007,plain,+ ( unit = e3+ | epred1_0+ | epred2_0 ),+ inference(cn,[status(thm)],[1006,theory(equality)])).++cnf(1008,plain,+ ( e3 = unit+ | epred2_0 ),+ inference(csr,[status(thm)],[1007,836])).++cnf(1529,plain,+ ( epred3_0+ | $false+ | op(e0,e3) != e3+ | op(e1,e0) != e1+ | ~ epred2_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[208,39,theory(equality)]),595,theory(equality)])).++cnf(1530,plain,+ ( epred3_0+ | $false+ | $false+ | op(e1,e0) != e1+ | ~ epred2_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[1529,39,theory(equality)]),599,theory(equality)])).++cnf(1531,plain,+ ( epred3_0+ | $false+ | $false+ | $false+ | ~ epred2_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[1530,39,theory(equality)]),600,theory(equality)])).++cnf(1532,plain,+ ( epred3_0+ | ~ epred2_0 ),+ inference(cn,[status(thm)],[1531,theory(equality)])).++cnf(1902,plain,+ ( epred4_0+ | $false+ | op(e1,e2) != e0+ | op(e1,e3) != e2+ | ~ epred3_0 ),+ inference(rw,[status(thm)],[269,33,theory(equality)])).++cnf(1903,plain,+ ( epred4_0+ | $false+ | unit != e0+ | op(e1,e3) != e2+ | ~ epred3_0 ),+ inference(rw,[status(thm)],[1902,601,theory(equality)])).++cnf(1904,plain,+ ( epred4_0+ | $false+ | $false+ | op(e1,e3) != e2+ | ~ epred3_0 ),+ inference(rw,[status(thm)],[1903,39,theory(equality)])).++cnf(1905,plain,+ ( epred4_0+ | $false+ | $false+ | $false+ | ~ epred3_0 ),+ inference(rw,[status(thm)],[1904,31,theory(equality)])).++cnf(1906,plain,+ ( epred4_0+ | ~ epred3_0 ),+ inference(cn,[status(thm)],[1905,theory(equality)])).++cnf(2172,plain,+ ( epred5_0+ | $false+ | op(e2,e1) != e0+ | op(e2,e2) != e3+ | ~ epred4_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[350,39,theory(equality)]),602,theory(equality)])).++cnf(2173,plain,+ ( epred5_0+ | $false+ | unit != e0+ | op(e2,e2) != e3+ | ~ epred4_0 ),+ inference(rw,[status(thm)],[2172,603,theory(equality)])).++cnf(2174,plain,+ ( epred5_0+ | $false+ | $false+ | op(e2,e2) != e3+ | ~ epred4_0 ),+ inference(rw,[status(thm)],[2173,39,theory(equality)])).++cnf(2175,plain,+ ( epred5_0+ | $false+ | $false+ | $false+ | ~ epred4_0 ),+ inference(rw,[status(thm)],[2174,28,theory(equality)])).++cnf(2176,plain,+ ( epred5_0+ | ~ epred4_0 ),+ inference(cn,[status(thm)],[2175,theory(equality)])).++cnf(2499,plain,+ ( epred6_0+ | $false+ | op(e3,e0) != e3+ | op(e3,e1) != e2+ | ~ epred5_0 ),+ inference(rw,[status(thm)],[421,27,theory(equality)])).++cnf(2500,plain,+ ( epred6_0+ | $false+ | $false+ | op(e3,e1) != e2+ | ~ epred5_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[2499,39,theory(equality)]),604,theory(equality)])).++cnf(2501,plain,+ ( epred6_0+ | $false+ | $false+ | $false+ | ~ epred5_0 ),+ inference(rw,[status(thm)],[2500,25,theory(equality)])).++cnf(2502,plain,+ ( epred6_0+ | ~ epred5_0 ),+ inference(cn,[status(thm)],[2501,theory(equality)])).++cnf(2847,plain,+ ( epred8_0+ | unit != e0+ | inv(e1) != e2+ | inv(e2) != e1+ | op(e0,inv(e0)) != unit+ | op(e1,inv(e1)) != unit+ | op(e2,inv(e2)) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e0),e0) != unit+ | op(inv(e1),e1) != unit+ | op(inv(e2),e2) != unit+ | op(inv(e3),e3) != unit+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[574,39,theory(equality)]),588,theory(equality)])).++cnf(2848,plain,+ ( epred8_0+ | $false+ | inv(e1) != e2+ | inv(e2) != e1+ | op(e0,inv(e0)) != unit+ | op(e1,inv(e1)) != unit+ | op(e2,inv(e2)) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e0),e0) != unit+ | op(inv(e1),e1) != unit+ | op(inv(e2),e2) != unit+ | op(inv(e3),e3) != unit+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[2847,39,theory(equality)])).++cnf(2849,plain,+ ( epred8_0+ | $false+ | $false+ | inv(e2) != e1+ | op(e0,inv(e0)) != unit+ | op(e1,inv(e1)) != unit+ | op(e2,inv(e2)) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e0),e0) != unit+ | op(inv(e1),e1) != unit+ | op(inv(e2),e2) != unit+ | op(inv(e3),e3) != unit+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[2848,54,theory(equality)])).++cnf(2850,plain,+ ( epred8_0+ | $false+ | $false+ | $false+ | op(e0,inv(e0)) != unit+ | op(e1,inv(e1)) != unit+ | op(e2,inv(e2)) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e0),e0) != unit+ | op(inv(e1),e1) != unit+ | op(inv(e2),e2) != unit+ | op(inv(e3),e3) != unit+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[2849,53,theory(equality)])).++cnf(2851,plain,+ ( epred8_0+ | $false+ | $false+ | $false+ | $false+ | op(e1,inv(e1)) != unit+ | op(e2,inv(e2)) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e0),e0) != unit+ | op(inv(e1),e1) != unit+ | op(inv(e2),e2) != unit+ | op(inv(e3),e3) != unit+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2850,39,theory(equality)]),39,theory(equality)]),588,theory(equality)]),593,theory(equality)])).++cnf(2852,plain,+ ( epred8_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(e2,inv(e2)) != unit+ | op(e3,inv(e3)) != unit+ | op(inv(e0),e0) != unit+ | op(inv(e1),e1) != unit+ | op(inv(e2),e2) != unit+ | op(inv(e3),e3) != unit+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[2851,54,theory(equality)]),601,theory(equality)])).++cnf(2853,plain,+ ( epred8_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(e3,inv(e3)) != unit+ | op(inv(e0),e0) != unit+ | op(inv(e1),e1) != unit+ | op(inv(e2),e2) != unit+ | op(inv(e3),e3) != unit+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[2852,53,theory(equality)]),603,theory(equality)])).++cnf(2854,plain,+ ( epred8_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(inv(e0),e0) != unit+ | op(inv(e1),e1) != unit+ | op(inv(e2),e2) != unit+ | op(inv(e3),e3) != unit+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[2853,52,theory(equality)]),605,theory(equality)])).++cnf(2855,plain,+ ( epred8_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(inv(e1),e1) != unit+ | op(inv(e2),e2) != unit+ | op(inv(e3),e3) != unit+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2854,39,theory(equality)]),588,theory(equality)]),39,theory(equality)]),593,theory(equality)])).++cnf(2856,plain,+ ( epred8_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(inv(e2),e2) != unit+ | op(inv(e3),e3) != unit+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[2855,54,theory(equality)]),603,theory(equality)])).++cnf(2857,plain,+ ( epred8_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(inv(e3),e3) != unit+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[2856,53,theory(equality)]),601,theory(equality)])).++cnf(2858,plain,+ ( epred8_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | ~ epred7_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[2857,52,theory(equality)]),605,theory(equality)])).++cnf(2859,plain,+ ( epred8_0+ | ~ epred7_0 ),+ inference(cn,[status(thm)],[2858,theory(equality)])).++cnf(2860,plain,+ ( ~ epred7_0 ),+ inference(sr,[status(thm)],[2859,598,theory(equality)])).++cnf(4224,plain,+ ( epred7_0+ | $false+ | op(e0,unit) != e0+ | op(e1,unit) != e1+ | op(e2,unit) != e2+ | op(e3,e2) != e1+ | op(e3,e3) != e0+ | op(e3,unit) != e3+ | op(unit,e0) != e0+ | op(unit,e1) != e1+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[501,39,theory(equality)])).++cnf(4225,plain,+ ( epred7_0+ | $false+ | unit != e0+ | op(e1,unit) != e1+ | op(e2,unit) != e2+ | op(e3,e2) != e1+ | op(e3,e3) != e0+ | op(e3,unit) != e3+ | op(unit,e0) != e0+ | op(unit,e1) != e1+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4224,39,theory(equality)]),593,theory(equality)])).++cnf(4226,plain,+ ( epred7_0+ | $false+ | $false+ | op(e1,unit) != e1+ | op(e2,unit) != e2+ | op(e3,e2) != e1+ | op(e3,e3) != e0+ | op(e3,unit) != e3+ | op(unit,e0) != e0+ | op(unit,e1) != e1+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[4225,39,theory(equality)])).++cnf(4227,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | op(e2,unit) != e2+ | op(e3,e2) != e1+ | op(e3,e3) != e0+ | op(e3,unit) != e3+ | op(unit,e0) != e0+ | op(unit,e1) != e1+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[4226,600,theory(equality)])).++cnf(4228,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | op(e3,e2) != e1+ | op(e3,e3) != e0+ | op(e3,unit) != e3+ | op(unit,e0) != e0+ | op(unit,e1) != e1+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[4227,602,theory(equality)])).++cnf(4229,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(e3,e3) != e0+ | op(e3,unit) != e3+ | op(unit,e0) != e0+ | op(unit,e1) != e1+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[4228,24,theory(equality)])).++cnf(4230,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != e0+ | op(e3,unit) != e3+ | op(unit,e0) != e0+ | op(unit,e1) != e1+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[4229,605,theory(equality)])).++cnf(4231,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(e3,unit) != e3+ | op(unit,e0) != e0+ | op(unit,e1) != e1+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[4230,39,theory(equality)])).++cnf(4232,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(unit,e0) != e0+ | op(unit,e1) != e1+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[4231,604,theory(equality)])).++cnf(4233,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != e0+ | op(unit,e1) != e1+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4232,39,theory(equality)]),593,theory(equality)])).++cnf(4234,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(unit,e1) != e1+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[4233,39,theory(equality)])).++cnf(4235,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(unit,e2) != e2+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[4234,594,theory(equality)])).++cnf(4236,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(unit,e3) != e3+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[4235,595,theory(equality)])).++cnf(4237,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e0),e0) != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[4236,599,theory(equality)])).++cnf(4238,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e0,op(e0,e0))+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4237,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),39,theory(equality)]),593,theory(equality)])).++cnf(4239,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e0),e1) != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4238,39,theory(equality)]),39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),593,theory(equality)])).++cnf(4240,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e0,op(e0,e1))+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4239,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),594,theory(equality)])).++cnf(4241,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e0),e2) != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4240,39,theory(equality)]),39,theory(equality)]),594,theory(equality)]),594,theory(equality)])).++cnf(4242,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e0,op(e0,e2))+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4241,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),595,theory(equality)])).++cnf(4243,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e0),e3) != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4242,39,theory(equality)]),39,theory(equality)]),595,theory(equality)]),595,theory(equality)])).++cnf(4244,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e0,op(e0,e3))+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4243,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),599,theory(equality)])).++cnf(4245,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e1),e0) != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4244,39,theory(equality)]),39,theory(equality)]),599,theory(equality)]),599,theory(equality)])).++cnf(4246,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e0,op(e1,e0))+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4245,39,theory(equality)]),594,theory(equality)]),39,theory(equality)]),600,theory(equality)])).++cnf(4247,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e1),e1) != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4246,39,theory(equality)]),39,theory(equality)]),600,theory(equality)]),594,theory(equality)])).++cnf(4248,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e0,op(e1,e1))+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4247,39,theory(equality)]),594,theory(equality)]),33,theory(equality)])).++cnf(4249,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e1),e2) != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4248,39,theory(equality)]),33,theory(equality)]),599,theory(equality)])).++cnf(4250,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e0,op(e1,e2))+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4249,39,theory(equality)]),594,theory(equality)]),601,theory(equality)])).++cnf(4251,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e1),e3) != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4250,39,theory(equality)]),601,theory(equality)]),593,theory(equality)])).++cnf(4252,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e0,op(e1,e3))+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4251,39,theory(equality)]),594,theory(equality)]),31,theory(equality)])).++cnf(4253,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e2),e0) != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4252,39,theory(equality)]),31,theory(equality)]),595,theory(equality)])).++cnf(4254,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e0,op(e2,e0))+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4253,39,theory(equality)]),595,theory(equality)]),39,theory(equality)]),602,theory(equality)])).++cnf(4255,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e2),e1) != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4254,39,theory(equality)]),39,theory(equality)]),602,theory(equality)]),595,theory(equality)])).++cnf(4256,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e0,op(e2,e1))+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4255,39,theory(equality)]),595,theory(equality)]),603,theory(equality)])).++cnf(4257,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e2),e2) != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4256,39,theory(equality)]),603,theory(equality)]),593,theory(equality)])).++cnf(4258,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e0,op(e2,e2))+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4257,39,theory(equality)]),595,theory(equality)]),28,theory(equality)])).++cnf(4259,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e2),e3) != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4258,39,theory(equality)]),28,theory(equality)]),599,theory(equality)])).++cnf(4260,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e0,op(e2,e3))+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4259,39,theory(equality)]),595,theory(equality)]),27,theory(equality)])).++cnf(4261,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e3),e0) != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4260,39,theory(equality)]),27,theory(equality)]),594,theory(equality)])).++cnf(4262,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e0,op(e3,e0))+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4261,39,theory(equality)]),599,theory(equality)]),39,theory(equality)]),604,theory(equality)])).++cnf(4263,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e3),e1) != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4262,39,theory(equality)]),39,theory(equality)]),604,theory(equality)]),599,theory(equality)])).++cnf(4264,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e0,op(e3,e1))+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4263,39,theory(equality)]),599,theory(equality)]),25,theory(equality)])).++cnf(4265,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e3),e2) != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4264,39,theory(equality)]),25,theory(equality)]),595,theory(equality)])).++cnf(4266,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e0,op(e3,e2))+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4265,39,theory(equality)]),599,theory(equality)]),24,theory(equality)])).++cnf(4267,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e0,e3),e3) != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4266,39,theory(equality)]),24,theory(equality)]),594,theory(equality)])).++cnf(4268,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e0,op(e3,e3))+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4267,39,theory(equality)]),599,theory(equality)]),605,theory(equality)])).++cnf(4269,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e0),e0) != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4268,39,theory(equality)]),605,theory(equality)]),593,theory(equality)])).++cnf(4270,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e1,op(e0,e0))+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4269,39,theory(equality)]),600,theory(equality)]),39,theory(equality)]),600,theory(equality)])).++cnf(4271,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e0),e1) != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4270,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),600,theory(equality)])).++cnf(4272,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e1,op(e0,e1))+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4271,39,theory(equality)]),600,theory(equality)]),33,theory(equality)])).++cnf(4273,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e0),e2) != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4272,39,theory(equality)]),594,theory(equality)]),33,theory(equality)])).++cnf(4274,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e1,op(e0,e2))+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4273,39,theory(equality)]),600,theory(equality)]),601,theory(equality)])).++cnf(4275,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e0),e3) != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4274,39,theory(equality)]),595,theory(equality)]),601,theory(equality)])).++cnf(4276,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e1,op(e0,e3))+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4275,39,theory(equality)]),600,theory(equality)]),31,theory(equality)])).++cnf(4277,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e1),e0) != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4276,39,theory(equality)]),599,theory(equality)]),31,theory(equality)])).++cnf(4278,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e1,op(e1,e0))+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4277,33,theory(equality)]),39,theory(equality)]),604,theory(equality)])).++cnf(4279,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e1),e1) != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4278,39,theory(equality)]),600,theory(equality)]),33,theory(equality)])).++cnf(4280,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e1,op(e1,e1))+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4279,33,theory(equality)]),25,theory(equality)])).++cnf(4281,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e1),e2) != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4280,33,theory(equality)]),31,theory(equality)])).++cnf(4282,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e1,op(e1,e2))+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4281,33,theory(equality)]),24,theory(equality)])).++cnf(4283,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e1),e3) != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4282,601,theory(equality)]),600,theory(equality)])).++cnf(4284,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e1,op(e1,e3))+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4283,33,theory(equality)]),605,theory(equality)])).++cnf(4285,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e2),e0) != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4284,31,theory(equality)]),601,theory(equality)])).++cnf(4286,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e1,op(e2,e0))+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4285,601,theory(equality)]),39,theory(equality)]),593,theory(equality)])).++cnf(4287,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e2),e1) != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4286,39,theory(equality)]),602,theory(equality)]),601,theory(equality)])).++cnf(4288,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e1,op(e2,e1))+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4287,601,theory(equality)]),594,theory(equality)])).++cnf(4289,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e2),e2) != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4288,603,theory(equality)]),600,theory(equality)])).++cnf(4290,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e1,op(e2,e2))+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4289,601,theory(equality)]),595,theory(equality)])).++cnf(4291,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e2),e3) != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4290,28,theory(equality)]),31,theory(equality)])).++cnf(4292,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e1,op(e2,e3))+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4291,601,theory(equality)]),599,theory(equality)])).++cnf(4293,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e3),e0) != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4292,27,theory(equality)]),33,theory(equality)])).++cnf(4294,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e1,op(e3,e0))+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4293,31,theory(equality)]),39,theory(equality)]),602,theory(equality)])).++cnf(4295,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e3),e1) != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4294,39,theory(equality)]),604,theory(equality)]),31,theory(equality)])).++cnf(4296,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e1,op(e3,e1))+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4295,31,theory(equality)]),603,theory(equality)])).++cnf(4297,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e3),e2) != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4296,25,theory(equality)]),601,theory(equality)])).++cnf(4298,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e1,op(e3,e2))+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4297,31,theory(equality)]),28,theory(equality)])).++cnf(4299,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e1,e3),e3) != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4298,24,theory(equality)]),33,theory(equality)])).++cnf(4300,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e1,op(e3,e3))+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4299,31,theory(equality)]),27,theory(equality)])).++cnf(4301,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e0),e0) != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4300,605,theory(equality)]),600,theory(equality)])).++cnf(4302,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e2,op(e0,e0))+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4301,39,theory(equality)]),602,theory(equality)]),39,theory(equality)]),602,theory(equality)])).++cnf(4303,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e0),e1) != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4302,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),602,theory(equality)])).++cnf(4304,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e2,op(e0,e1))+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4303,39,theory(equality)]),602,theory(equality)]),603,theory(equality)])).++cnf(4305,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e0),e2) != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4304,39,theory(equality)]),594,theory(equality)]),603,theory(equality)])).++cnf(4306,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e2,op(e0,e2))+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4305,39,theory(equality)]),602,theory(equality)]),28,theory(equality)])).++cnf(4307,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e0),e3) != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4306,39,theory(equality)]),595,theory(equality)]),28,theory(equality)])).++cnf(4308,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e2,op(e0,e3))+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4307,39,theory(equality)]),602,theory(equality)]),27,theory(equality)])).++cnf(4309,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e1),e0) != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4308,39,theory(equality)]),599,theory(equality)]),27,theory(equality)])).++cnf(4310,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e2,op(e1,e0))+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4309,603,theory(equality)]),39,theory(equality)]),593,theory(equality)])).++cnf(4311,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e1),e1) != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4310,39,theory(equality)]),600,theory(equality)]),603,theory(equality)])).++cnf(4312,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e2,op(e1,e1))+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4311,603,theory(equality)]),594,theory(equality)])).++cnf(4313,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e1),e2) != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4312,33,theory(equality)]),27,theory(equality)])).++cnf(4314,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e2,op(e1,e2))+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4313,603,theory(equality)]),595,theory(equality)])).++cnf(4315,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e1),e3) != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4314,601,theory(equality)]),602,theory(equality)])).++cnf(4316,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e2,op(e1,e3))+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4315,603,theory(equality)]),599,theory(equality)])).++cnf(4317,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e2),e0) != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4316,31,theory(equality)]),28,theory(equality)])).++cnf(4318,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e2,op(e2,e0))+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4317,28,theory(equality)]),39,theory(equality)]),604,theory(equality)])).++cnf(4319,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e2),e1) != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4318,39,theory(equality)]),602,theory(equality)]),28,theory(equality)])).++cnf(4320,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e2,op(e2,e1))+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4319,28,theory(equality)]),25,theory(equality)])).++cnf(4321,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e2),e2) != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4320,603,theory(equality)]),602,theory(equality)])).++cnf(4322,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e2,op(e2,e2))+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4321,28,theory(equality)]),24,theory(equality)])).++cnf(4323,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e2),e3) != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4322,28,theory(equality)]),27,theory(equality)])).++cnf(4324,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e2,op(e2,e3))+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4323,28,theory(equality)]),605,theory(equality)])).++cnf(4325,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e3),e0) != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4324,27,theory(equality)]),603,theory(equality)])).++cnf(4326,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e2,op(e3,e0))+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4325,27,theory(equality)]),39,theory(equality)]),600,theory(equality)])).++cnf(4327,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e3),e1) != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4326,39,theory(equality)]),604,theory(equality)]),27,theory(equality)])).++cnf(4328,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e2,op(e3,e1))+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4327,27,theory(equality)]),33,theory(equality)])).++cnf(4329,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e3),e2) != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4328,25,theory(equality)]),28,theory(equality)])).++cnf(4330,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e2,op(e3,e2))+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4329,27,theory(equality)]),601,theory(equality)])).++cnf(4331,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e2,e3),e3) != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4330,24,theory(equality)]),603,theory(equality)])).++cnf(4332,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e2,op(e3,e3))+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4331,27,theory(equality)]),31,theory(equality)])).++cnf(4333,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e0),e0) != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4332,605,theory(equality)]),602,theory(equality)])).++cnf(4334,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e3,op(e0,e0))+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4333,39,theory(equality)]),604,theory(equality)]),39,theory(equality)]),604,theory(equality)])).++cnf(4335,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e0),e1) != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4334,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),604,theory(equality)])).++cnf(4336,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e3,op(e0,e1))+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4335,39,theory(equality)]),604,theory(equality)]),25,theory(equality)])).++cnf(4337,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e0),e2) != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4336,39,theory(equality)]),594,theory(equality)]),25,theory(equality)])).++cnf(4338,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e3,op(e0,e2))+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4337,39,theory(equality)]),604,theory(equality)]),24,theory(equality)])).++cnf(4339,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e0),e3) != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4338,39,theory(equality)]),595,theory(equality)]),24,theory(equality)])).++cnf(4340,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e3,op(e0,e3))+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4339,39,theory(equality)]),604,theory(equality)]),605,theory(equality)])).++cnf(4341,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e1),e0) != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4340,39,theory(equality)]),599,theory(equality)]),605,theory(equality)])).++cnf(4342,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e3,op(e1,e0))+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4341,25,theory(equality)]),39,theory(equality)]),602,theory(equality)])).++cnf(4343,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e1),e1) != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4342,39,theory(equality)]),600,theory(equality)]),25,theory(equality)])).++cnf(4344,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e3,op(e1,e1))+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4343,25,theory(equality)]),603,theory(equality)])).++cnf(4345,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e1),e2) != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4344,33,theory(equality)]),605,theory(equality)])).++cnf(4346,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e3,op(e1,e2))+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4345,25,theory(equality)]),28,theory(equality)])).++cnf(4347,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e1),e3) != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4346,601,theory(equality)]),604,theory(equality)])).++cnf(4348,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e3,op(e1,e3))+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4347,25,theory(equality)]),27,theory(equality)])).++cnf(4349,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e2),e0) != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4348,31,theory(equality)]),24,theory(equality)])).++cnf(4350,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e3,op(e2,e0))+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4349,24,theory(equality)]),39,theory(equality)]),600,theory(equality)])).++cnf(4351,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e2),e1) != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4350,39,theory(equality)]),602,theory(equality)]),24,theory(equality)])).++cnf(4352,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e3,op(e2,e1))+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4351,24,theory(equality)]),33,theory(equality)])).++cnf(4353,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e2),e2) != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4352,603,theory(equality)]),604,theory(equality)])).++cnf(4354,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e3,op(e2,e2))+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4353,24,theory(equality)]),601,theory(equality)])).++cnf(4355,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e2),e3) != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4354,28,theory(equality)]),605,theory(equality)])).++cnf(4356,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e3,op(e2,e3))+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4355,24,theory(equality)]),31,theory(equality)])).++cnf(4357,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e3),e0) != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4356,27,theory(equality)]),25,theory(equality)])).++cnf(4358,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | unit != op(e3,op(e3,e0))+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4357,605,theory(equality)]),39,theory(equality)]),593,theory(equality)])).++cnf(4359,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e3),e1) != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4358,39,theory(equality)]),604,theory(equality)]),605,theory(equality)])).++cnf(4360,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e1 != op(e3,op(e3,e1))+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4359,605,theory(equality)]),594,theory(equality)])).++cnf(4361,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e3),e2) != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4360,25,theory(equality)]),24,theory(equality)])).++cnf(4362,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e2 != op(e3,op(e3,e2))+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4361,605,theory(equality)]),595,theory(equality)])).++cnf(4363,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | op(op(e3,e3),e3) != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4362,24,theory(equality)]),25,theory(equality)])).++cnf(4364,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | e3 != op(e3,op(e3,e3))+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4363,605,theory(equality)]),599,theory(equality)])).++cnf(4365,plain,+ ( epred7_0+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | $false+ | ~ epred6_0 ),+ inference(rw,[status(thm)],[inference(rw,[status(thm)],[4364,605,theory(equality)]),604,theory(equality)])).++cnf(4366,plain,+ ( epred7_0+ | ~ epred6_0 ),+ inference(cn,[status(thm)],[4365,theory(equality)])).++cnf(4367,plain,+ ( ~ epred6_0 ),+ inference(sr,[status(thm)],[4366,2860,theory(equality)])).++cnf(12823,plain,+ ( epred2_0 ),+ inference(sr,[status(thm)],[1008,584,theory(equality)])).++cnf(12824,plain,+ ( epred3_0+ | $false ),+ inference(rw,[status(thm)],[1532,12823,theory(equality)])).++cnf(12825,plain,+ ( epred3_0 ),+ inference(cn,[status(thm)],[12824,theory(equality)])).++cnf(12826,plain,+ ( epred4_0+ | $false ),+ inference(rw,[status(thm)],[1906,12825,theory(equality)])).++cnf(12827,plain,+ ( epred4_0 ),+ inference(cn,[status(thm)],[12826,theory(equality)])).++cnf(12828,plain,+ ( epred5_0+ | $false ),+ inference(rw,[status(thm)],[2176,12827,theory(equality)])).++cnf(12829,plain,+ ( epred5_0 ),+ inference(cn,[status(thm)],[12828,theory(equality)])).++cnf(12830,plain,+ ( epred6_0+ | $false ),+ inference(rw,[status(thm)],[2502,12829,theory(equality)])).++cnf(12831,plain,+ ( epred6_0 ),+ inference(cn,[status(thm)],[12830,theory(equality)])).++cnf(12832,plain,+ ( $false ),+ inference(sr,[status(thm)],[12831,4367,theory(equality)])).++cnf(12833,plain,+ ( $false ),+ 12832,+ [proof]).+%------------------------------------------------------------------------------+%----ORIGINAL SYSTEM OUTPUT+% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG022+1.p+% --creating new selector for []+% -running prover on /tmp/tmp5awh7i/sel_ALG022+1.p_1 with time limit 29+% -prover status Theorem+% Problem ALG022+1.p solved in phase 0.+% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG022+1.p+% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG022+1.p+% Solved 1 out of 1.+% # Problem is unsatisfiable (or provable), constructing proof object+% # SZS status Theorem+% # SZS output start CNFRefutation.+% fof(1, axiom,(((((((((((((((equal(op(e0,e0), e0)&equal(op(e0,e1), e1))&equal(op(e0,e2), e2))&equal(op(e0,e3), e3))&equal(op(e1,e0), e1))&equal(op(e1,e1), e3))&equal(op(e1,e2), e0))&equal(op(e1,e3), e2))&equal(op(e2,e0), e2))&equal(op(e2,e1), e0))&equal(op(e2,e2), e3))&equal(op(e2,e3), e1))&equal(op(e3,e0), e3))&equal(op(e3,e1), e2))&equal(op(e3,e2), e1))&equal(op(e3,e3), e0)),file('/tmp/tmp5awh7i/sel_ALG022+1.p_1', ax2)).+% fof(2, axiom,equal(unit, e0),file('/tmp/tmp5awh7i/sel_ALG022+1.p_1', ax3)).+% fof(3, conjecture,(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(((((((equal(op(e0,e0), e0)&equal(op(e1,e1), e0))&equal(op(e2,e2), e0))&equal(op(e3,e3), e0))|(((equal(op(e0,e0), e1)&equal(op(e1,e1), e1))&equal(op(e2,e2), e1))&equal(op(e3,e3), e1)))|(((equal(op(e0,e0), e2)&equal(op(e1,e1), e2))&equal(op(e2,e2), e2))&equal(op(e3,e3), e2)))|(((equal(op(e0,e0), e3)&equal(op(e1,e1), e3))&equal(op(e2,e2), e3))&equal(op(e3,e3), e3))))&(((equal(op(e0,e0), e0)|equal(op(e0,e0), e1))|equal(op(e0,e0), e2))|equal(op(e0,e0), e3)))&(((equal(op(e0,e1), e0)|equal(op(e0,e1), e1))|equal(op(e0,e1), e2))|equal(op(e0,e1), e3)))&(((equal(op(e0,e2), e0)|equal(op(e0,e2), e1))|equal(op(e0,e2), e2))|equal(op(e0,e2), e3)))&(((equal(op(e0,e3), e0)|equal(op(e0,e3), e1))|equal(op(e0,e3), e2))|equal(op(e0,e3), e3)))&(((equal(op(e1,e0), e0)|equal(op(e1,e0), e1))|equal(op(e1,e0), e2))|equal(op(e1,e0), e3)))&(((equal(op(e1,e1), e0)|equal(op(e1,e1), e1))|equal(op(e1,e1), e2))|equal(op(e1,e1), e3)))&(((equal(op(e1,e2), e0)|equal(op(e1,e2), e1))|equal(op(e1,e2), e2))|equal(op(e1,e2), e3)))&(((equal(op(e1,e3), e0)|equal(op(e1,e3), e1))|equal(op(e1,e3), e2))|equal(op(e1,e3), e3)))&(((equal(op(e2,e0), e0)|equal(op(e2,e0), e1))|equal(op(e2,e0), e2))|equal(op(e2,e0), e3)))&(((equal(op(e2,e1), e0)|equal(op(e2,e1), e1))|equal(op(e2,e1), e2))|equal(op(e2,e1), e3)))&(((equal(op(e2,e2), e0)|equal(op(e2,e2), e1))|equal(op(e2,e2), e2))|equal(op(e2,e2), e3)))&(((equal(op(e2,e3), e0)|equal(op(e2,e3), e1))|equal(op(e2,e3), e2))|equal(op(e2,e3), e3)))&(((equal(op(e3,e0), e0)|equal(op(e3,e0), e1))|equal(op(e3,e0), e2))|equal(op(e3,e0), e3)))&(((equal(op(e3,e1), e0)|equal(op(e3,e1), e1))|equal(op(e3,e1), e2))|equal(op(e3,e1), e3)))&(((equal(op(e3,e2), e0)|equal(op(e3,e2), e1))|equal(op(e3,e2), e2))|equal(op(e3,e2), e3)))&(((equal(op(e3,e3), e0)|equal(op(e3,e3), e1))|equal(op(e3,e3), e2))|equal(op(e3,e3), e3)))&equal(op(op(e0,e0),e0), op(e0,op(e0,e0))))&equal(op(op(e0,e0),e1), op(e0,op(e0,e1))))&equal(op(op(e0,e0),e2), op(e0,op(e0,e2))))&equal(op(op(e0,e0),e3), op(e0,op(e0,e3))))&equal(op(op(e0,e1),e0), op(e0,op(e1,e0))))&equal(op(op(e0,e1),e1), op(e0,op(e1,e1))))&equal(op(op(e0,e1),e2), op(e0,op(e1,e2))))&equal(op(op(e0,e1),e3), op(e0,op(e1,e3))))&equal(op(op(e0,e2),e0), op(e0,op(e2,e0))))&equal(op(op(e0,e2),e1), op(e0,op(e2,e1))))&equal(op(op(e0,e2),e2), op(e0,op(e2,e2))))&equal(op(op(e0,e2),e3), op(e0,op(e2,e3))))&equal(op(op(e0,e3),e0), op(e0,op(e3,e0))))&equal(op(op(e0,e3),e1), op(e0,op(e3,e1))))&equal(op(op(e0,e3),e2), op(e0,op(e3,e2))))&equal(op(op(e0,e3),e3), op(e0,op(e3,e3))))&equal(op(op(e1,e0),e0), op(e1,op(e0,e0))))&equal(op(op(e1,e0),e1), op(e1,op(e0,e1))))&equal(op(op(e1,e0),e2), op(e1,op(e0,e2))))&equal(op(op(e1,e0),e3), op(e1,op(e0,e3))))&equal(op(op(e1,e1),e0), op(e1,op(e1,e0))))&equal(op(op(e1,e1),e1), op(e1,op(e1,e1))))&equal(op(op(e1,e1),e2), op(e1,op(e1,e2))))&equal(op(op(e1,e1),e3), op(e1,op(e1,e3))))&equal(op(op(e1,e2),e0), op(e1,op(e2,e0))))&equal(op(op(e1,e2),e1), op(e1,op(e2,e1))))&equal(op(op(e1,e2),e2), op(e1,op(e2,e2))))&equal(op(op(e1,e2),e3), op(e1,op(e2,e3))))&equal(op(op(e1,e3),e0), op(e1,op(e3,e0))))&equal(op(op(e1,e3),e1), op(e1,op(e3,e1))))&equal(op(op(e1,e3),e2), op(e1,op(e3,e2))))&equal(op(op(e1,e3),e3), op(e1,op(e3,e3))))&equal(op(op(e2,e0),e0), op(e2,op(e0,e0))))&equal(op(op(e2,e0),e1), op(e2,op(e0,e1))))&equal(op(op(e2,e0),e2), op(e2,op(e0,e2))))&equal(op(op(e2,e0),e3), op(e2,op(e0,e3))))&equal(op(op(e2,e1),e0), op(e2,op(e1,e0))))&equal(op(op(e2,e1),e1), op(e2,op(e1,e1))))&equal(op(op(e2,e1),e2), op(e2,op(e1,e2))))&equal(op(op(e2,e1),e3), op(e2,op(e1,e3))))&equal(op(op(e2,e2),e0), op(e2,op(e2,e0))))&equal(op(op(e2,e2),e1), op(e2,op(e2,e1))))&equal(op(op(e2,e2),e2), op(e2,op(e2,e2))))&equal(op(op(e2,e2),e3), op(e2,op(e2,e3))))&equal(op(op(e2,e3),e0), op(e2,op(e3,e0))))&equal(op(op(e2,e3),e1), op(e2,op(e3,e1))))&equal(op(op(e2,e3),e2), op(e2,op(e3,e2))))&equal(op(op(e2,e3),e3), op(e2,op(e3,e3))))&equal(op(op(e3,e0),e0), op(e3,op(e0,e0))))&equal(op(op(e3,e0),e1), op(e3,op(e0,e1))))&equal(op(op(e3,e0),e2), op(e3,op(e0,e2))))&equal(op(op(e3,e0),e3), op(e3,op(e0,e3))))&equal(op(op(e3,e1),e0), op(e3,op(e1,e0))))&equal(op(op(e3,e1),e1), op(e3,op(e1,e1))))&equal(op(op(e3,e1),e2), op(e3,op(e1,e2))))&equal(op(op(e3,e1),e3), op(e3,op(e1,e3))))&equal(op(op(e3,e2),e0), op(e3,op(e2,e0))))&equal(op(op(e3,e2),e1), op(e3,op(e2,e1))))&equal(op(op(e3,e2),e2), op(e3,op(e2,e2))))&equal(op(op(e3,e2),e3), op(e3,op(e2,e3))))&equal(op(op(e3,e3),e0), op(e3,op(e3,e0))))&equal(op(op(e3,e3),e1), op(e3,op(e3,e1))))&equal(op(op(e3,e3),e2), op(e3,op(e3,e2))))&equal(op(op(e3,e3),e3), op(e3,op(e3,e3))))&equal(op(unit,e0), e0))&equal(op(e0,unit), e0))&equal(op(unit,e1), e1))&equal(op(e1,unit), e1))&equal(op(unit,e2), e2))&equal(op(e2,unit), e2))&equal(op(unit,e3), e3))&equal(op(e3,unit), e3))&(((equal(unit, e0)|equal(unit, e1))|equal(unit, e2))|equal(unit, e3)))&equal(op(e0,inv(e0)), unit))&equal(op(inv(e0),e0), unit))&equal(op(e1,inv(e1)), unit))&equal(op(inv(e1),e1), unit))&equal(op(e2,inv(e2)), unit))&equal(op(inv(e2),e2), unit))&equal(op(e3,inv(e3)), unit))&equal(op(inv(e3),e3), unit))&(((equal(inv(e0), e0)|equal(inv(e0), e1))|equal(inv(e0), e2))|equal(inv(e0), e3)))&(((equal(inv(e1), e0)|equal(inv(e1), e1))|equal(inv(e1), e2))|equal(inv(e1), e3)))&(((equal(inv(e2), e0)|equal(inv(e2), e1))|equal(inv(e2), e2))|equal(inv(e2), e3)))&(((equal(inv(e3), e0)|equal(inv(e3), e1))|equal(inv(e3), e2))|equal(inv(e3), e3))),file('/tmp/tmp5awh7i/sel_ALG022+1.p_1', co1)).+% fof(4, axiom,(((((~(equal(e0, e1))&~(equal(e0, e2)))&~(equal(e0, e3)))&~(equal(e1, e2)))&~(equal(e1, e3)))&~(equal(e2, e3))),file('/tmp/tmp5awh7i/sel_ALG022+1.p_1', ax1)).+% fof(5, axiom,(((equal(inv(e0), e0)&equal(inv(e1), e2))&equal(inv(e2), e1))&equal(inv(e3), e3)),file('/tmp/tmp5awh7i/sel_ALG022+1.p_1', ax4)).+% fof(6, negated_conjecture,~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(((((((equal(op(e0,e0), e0)&equal(op(e1,e1), e0))&equal(op(e2,e2), e0))&equal(op(e3,e3), e0))|(((equal(op(e0,e0), e1)&equal(op(e1,e1), e1))&equal(op(e2,e2), e1))&equal(op(e3,e3), e1)))|(((equal(op(e0,e0), e2)&equal(op(e1,e1), e2))&equal(op(e2,e2), e2))&equal(op(e3,e3), e2)))|(((equal(op(e0,e0), e3)&equal(op(e1,e1), e3))&equal(op(e2,e2), e3))&equal(op(e3,e3), e3))))&(((equal(op(e0,e0), e0)|equal(op(e0,e0), e1))|equal(op(e0,e0), e2))|equal(op(e0,e0), e3)))&(((equal(op(e0,e1), e0)|equal(op(e0,e1), e1))|equal(op(e0,e1), e2))|equal(op(e0,e1), e3)))&(((equal(op(e0,e2), e0)|equal(op(e0,e2), e1))|equal(op(e0,e2), e2))|equal(op(e0,e2), e3)))&(((equal(op(e0,e3), e0)|equal(op(e0,e3), e1))|equal(op(e0,e3), e2))|equal(op(e0,e3), e3)))&(((equal(op(e1,e0), e0)|equal(op(e1,e0), e1))|equal(op(e1,e0), e2))|equal(op(e1,e0), e3)))&(((equal(op(e1,e1), e0)|equal(op(e1,e1), e1))|equal(op(e1,e1), e2))|equal(op(e1,e1), e3)))&(((equal(op(e1,e2), e0)|equal(op(e1,e2), e1))|equal(op(e1,e2), e2))|equal(op(e1,e2), e3)))&(((equal(op(e1,e3), e0)|equal(op(e1,e3), e1))|equal(op(e1,e3), e2))|equal(op(e1,e3), e3)))&(((equal(op(e2,e0), e0)|equal(op(e2,e0), e1))|equal(op(e2,e0), e2))|equal(op(e2,e0), e3)))&(((equal(op(e2,e1), e0)|equal(op(e2,e1), e1))|equal(op(e2,e1), e2))|equal(op(e2,e1), e3)))&(((equal(op(e2,e2), e0)|equal(op(e2,e2), e1))|equal(op(e2,e2), e2))|equal(op(e2,e2), e3)))&(((equal(op(e2,e3), e0)|equal(op(e2,e3), e1))|equal(op(e2,e3), e2))|equal(op(e2,e3), e3)))&(((equal(op(e3,e0), e0)|equal(op(e3,e0), e1))|equal(op(e3,e0), e2))|equal(op(e3,e0), e3)))&(((equal(op(e3,e1), e0)|equal(op(e3,e1), e1))|equal(op(e3,e1), e2))|equal(op(e3,e1), e3)))&(((equal(op(e3,e2), e0)|equal(op(e3,e2), e1))|equal(op(e3,e2), e2))|equal(op(e3,e2), e3)))&(((equal(op(e3,e3), e0)|equal(op(e3,e3), e1))|equal(op(e3,e3), e2))|equal(op(e3,e3), e3)))&equal(op(op(e0,e0),e0), op(e0,op(e0,e0))))&equal(op(op(e0,e0),e1), op(e0,op(e0,e1))))&equal(op(op(e0,e0),e2), op(e0,op(e0,e2))))&equal(op(op(e0,e0),e3), op(e0,op(e0,e3))))&equal(op(op(e0,e1),e0), op(e0,op(e1,e0))))&equal(op(op(e0,e1),e1), op(e0,op(e1,e1))))&equal(op(op(e0,e1),e2), op(e0,op(e1,e2))))&equal(op(op(e0,e1),e3), op(e0,op(e1,e3))))&equal(op(op(e0,e2),e0), op(e0,op(e2,e0))))&equal(op(op(e0,e2),e1), op(e0,op(e2,e1))))&equal(op(op(e0,e2),e2), op(e0,op(e2,e2))))&equal(op(op(e0,e2),e3), op(e0,op(e2,e3))))&equal(op(op(e0,e3),e0), op(e0,op(e3,e0))))&equal(op(op(e0,e3),e1), op(e0,op(e3,e1))))&equal(op(op(e0,e3),e2), op(e0,op(e3,e2))))&equal(op(op(e0,e3),e3), op(e0,op(e3,e3))))&equal(op(op(e1,e0),e0), op(e1,op(e0,e0))))&equal(op(op(e1,e0),e1), op(e1,op(e0,e1))))&equal(op(op(e1,e0),e2), op(e1,op(e0,e2))))&equal(op(op(e1,e0),e3), op(e1,op(e0,e3))))&equal(op(op(e1,e1),e0), op(e1,op(e1,e0))))&equal(op(op(e1,e1),e1), op(e1,op(e1,e1))))&equal(op(op(e1,e1),e2), op(e1,op(e1,e2))))&equal(op(op(e1,e1),e3), op(e1,op(e1,e3))))&equal(op(op(e1,e2),e0), op(e1,op(e2,e0))))&equal(op(op(e1,e2),e1), op(e1,op(e2,e1))))&equal(op(op(e1,e2),e2), op(e1,op(e2,e2))))&equal(op(op(e1,e2),e3), op(e1,op(e2,e3))))&equal(op(op(e1,e3),e0), op(e1,op(e3,e0))))&equal(op(op(e1,e3),e1), op(e1,op(e3,e1))))&equal(op(op(e1,e3),e2), op(e1,op(e3,e2))))&equal(op(op(e1,e3),e3), op(e1,op(e3,e3))))&equal(op(op(e2,e0),e0), op(e2,op(e0,e0))))&equal(op(op(e2,e0),e1), op(e2,op(e0,e1))))&equal(op(op(e2,e0),e2), op(e2,op(e0,e2))))&equal(op(op(e2,e0),e3), op(e2,op(e0,e3))))&equal(op(op(e2,e1),e0), op(e2,op(e1,e0))))&equal(op(op(e2,e1),e1), op(e2,op(e1,e1))))&equal(op(op(e2,e1),e2), op(e2,op(e1,e2))))&equal(op(op(e2,e1),e3), op(e2,op(e1,e3))))&equal(op(op(e2,e2),e0), op(e2,op(e2,e0))))&equal(op(op(e2,e2),e1), op(e2,op(e2,e1))))&equal(op(op(e2,e2),e2), op(e2,op(e2,e2))))&equal(op(op(e2,e2),e3), op(e2,op(e2,e3))))&equal(op(op(e2,e3),e0), op(e2,op(e3,e0))))&equal(op(op(e2,e3),e1), op(e2,op(e3,e1))))&equal(op(op(e2,e3),e2), op(e2,op(e3,e2))))&equal(op(op(e2,e3),e3), op(e2,op(e3,e3))))&equal(op(op(e3,e0),e0), op(e3,op(e0,e0))))&equal(op(op(e3,e0),e1), op(e3,op(e0,e1))))&equal(op(op(e3,e0),e2), op(e3,op(e0,e2))))&equal(op(op(e3,e0),e3), op(e3,op(e0,e3))))&equal(op(op(e3,e1),e0), op(e3,op(e1,e0))))&equal(op(op(e3,e1),e1), op(e3,op(e1,e1))))&equal(op(op(e3,e1),e2), op(e3,op(e1,e2))))&equal(op(op(e3,e1),e3), op(e3,op(e1,e3))))&equal(op(op(e3,e2),e0), op(e3,op(e2,e0))))&equal(op(op(e3,e2),e1), op(e3,op(e2,e1))))&equal(op(op(e3,e2),e2), op(e3,op(e2,e2))))&equal(op(op(e3,e2),e3), op(e3,op(e2,e3))))&equal(op(op(e3,e3),e0), op(e3,op(e3,e0))))&equal(op(op(e3,e3),e1), op(e3,op(e3,e1))))&equal(op(op(e3,e3),e2), op(e3,op(e3,e2))))&equal(op(op(e3,e3),e3), op(e3,op(e3,e3))))&equal(op(unit,e0), e0))&equal(op(e0,unit), e0))&equal(op(unit,e1), e1))&equal(op(e1,unit), e1))&equal(op(unit,e2), e2))&equal(op(e2,unit), e2))&equal(op(unit,e3), e3))&equal(op(e3,unit), e3))&(((equal(unit, e0)|equal(unit, e1))|equal(unit, e2))|equal(unit, e3)))&equal(op(e0,inv(e0)), unit))&equal(op(inv(e0),e0), unit))&equal(op(e1,inv(e1)), unit))&equal(op(inv(e1),e1), unit))&equal(op(e2,inv(e2)), unit))&equal(op(inv(e2),e2), unit))&equal(op(e3,inv(e3)), unit))&equal(op(inv(e3),e3), unit))&(((equal(inv(e0), e0)|equal(inv(e0), e1))|equal(inv(e0), e2))|equal(inv(e0), e3)))&(((equal(inv(e1), e0)|equal(inv(e1), e1))|equal(inv(e1), e2))|equal(inv(e1), e3)))&(((equal(inv(e2), e0)|equal(inv(e2), e1))|equal(inv(e2), e2))|equal(inv(e2), e3)))&(((equal(inv(e3), e0)|equal(inv(e3), e1))|equal(inv(e3), e2))|equal(inv(e3), e3)))),inference(assume_negation,[status(cth)],[3])).+% fof(7, plain,(epred1_0=>(((((equal(op(e0,e0), e0)&equal(op(e1,e1), e0))&equal(op(e2,e2), e0))&equal(op(e3,e3), e0))|(((equal(op(e0,e0), e1)&equal(op(e1,e1), e1))&equal(op(e2,e2), e1))&equal(op(e3,e3), e1)))|(((equal(op(e0,e0), e2)&equal(op(e1,e1), e2))&equal(op(e2,e2), e2))&equal(op(e3,e3), e2)))),introduced(definition)).+% fof(8, plain,(((~(((((((equal(op(e0,e0), e0)&equal(op(e1,e1), e0))&equal(op(e2,e2), e0))&equal(op(e3,e3), e0))|(((equal(op(e0,e0), e1)&equal(op(e1,e1), e1))&equal(op(e2,e2), e1))&equal(op(e3,e3), e1)))|(((equal(op(e0,e0), e2)&equal(op(e1,e1), e2))&equal(op(e2,e2), e2))&equal(op(e3,e3), e2)))|(((equal(op(e0,e0), e3)&equal(op(e1,e1), e3))&equal(op(e2,e2), e3))&equal(op(e3,e3), e3))))&(((equal(op(e0,e0), e0)|equal(op(e0,e0), e1))|equal(op(e0,e0), e2))|equal(op(e0,e0), e3)))&(((equal(op(e0,e1), e0)|equal(op(e0,e1), e1))|equal(op(e0,e1), e2))|equal(op(e0,e1), e3)))=>epred2_0),introduced(definition)).+% fof(9, plain,((((((~(((((((equal(op(e0,e0), e0)&equal(op(e1,e1), e0))&equal(op(e2,e2), e0))&equal(op(e3,e3), e0))|(((equal(op(e0,e0), e1)&equal(op(e1,e1), e1))&equal(op(e2,e2), e1))&equal(op(e3,e3), e1)))|(((equal(op(e0,e0), e2)&equal(op(e1,e1), e2))&equal(op(e2,e2), e2))&equal(op(e3,e3), e2)))|(((equal(op(e0,e0), e3)&equal(op(e1,e1), e3))&equal(op(e2,e2), e3))&equal(op(e3,e3), e3))))&(((equal(op(e0,e0), e0)|equal(op(e0,e0), e1))|equal(op(e0,e0), e2))|equal(op(e0,e0), e3)))&(((equal(op(e0,e1), e0)|equal(op(e0,e1), e1))|equal(op(e0,e1), e2))|equal(op(e0,e1), e3)))&(((equal(op(e0,e2), e0)|equal(op(e0,e2), e1))|equal(op(e0,e2), e2))|equal(op(e0,e2), e3)))&(((equal(op(e0,e3), e0)|equal(op(e0,e3), e1))|equal(op(e0,e3), e2))|equal(op(e0,e3), e3)))&(((equal(op(e1,e0), e0)|equal(op(e1,e0), e1))|equal(op(e1,e0), e2))|equal(op(e1,e0), e3)))=>epred3_0),introduced(definition)).+% fof(10, plain,(((((((((~(((((((equal(op(e0,e0), e0)&equal(op(e1,e1), e0))&equal(op(e2,e2), e0))&equal(op(e3,e3), e0))|(((equal(op(e0,e0), e1)&equal(op(e1,e1), e1))&equal(op(e2,e2), e1))&equal(op(e3,e3), e1)))|(((equal(op(e0,e0), e2)&equal(op(e1,e1), e2))&equal(op(e2,e2), e2))&equal(op(e3,e3), e2)))|(((equal(op(e0,e0), e3)&equal(op(e1,e1), e3))&equal(op(e2,e2), e3))&equal(op(e3,e3), e3))))&(((equal(op(e0,e0), e0)|equal(op(e0,e0), e1))|equal(op(e0,e0), e2))|equal(op(e0,e0), e3)))&(((equal(op(e0,e1), e0)|equal(op(e0,e1), e1))|equal(op(e0,e1), e2))|equal(op(e0,e1), e3)))&(((equal(op(e0,e2), e0)|equal(op(e0,e2), e1))|equal(op(e0,e2), e2))|equal(op(e0,e2), e3)))&(((equal(op(e0,e3), e0)|equal(op(e0,e3), e1))|equal(op(e0,e3), e2))|equal(op(e0,e3), e3)))&(((equal(op(e1,e0), e0)|equal(op(e1,e0), e1))|equal(op(e1,e0), e2))|equal(op(e1,e0), e3)))&(((equal(op(e1,e1), e0)|equal(op(e1,e1), e1))|equal(op(e1,e1), e2))|equal(op(e1,e1), e3)))&(((equal(op(e1,e2), e0)|equal(op(e1,e2), e1))|equal(op(e1,e2), e2))|equal(op(e1,e2), e3)))&(((equal(op(e1,e3), e0)|equal(op(e1,e3), e1))|equal(op(e1,e3), e2))|equal(op(e1,e3), e3)))=>epred4_0),introduced(definition)).+% fof(11, plain,((((((((((((~(((((((equal(op(e0,e0), e0)&equal(op(e1,e1), e0))&equal(op(e2,e2), e0))&equal(op(e3,e3), e0))|(((equal(op(e0,e0), e1)&equal(op(e1,e1), e1))&equal(op(e2,e2), e1))&equal(op(e3,e3), e1)))|(((equal(op(e0,e0), e2)&equal(op(e1,e1), e2))&equal(op(e2,e2), e2))&equal(op(e3,e3), e2)))|(((equal(op(e0,e0), e3)&equal(op(e1,e1), e3))&equal(op(e2,e2), e3))&equal(op(e3,e3), e3))))&(((equal(op(e0,e0), e0)|equal(op(e0,e0), e1))|equal(op(e0,e0), e2))|equal(op(e0,e0), e3)))&(((equal(op(e0,e1), e0)|equal(op(e0,e1), e1))|equal(op(e0,e1), e2))|equal(op(e0,e1), e3)))&(((equal(op(e0,e2), e0)|equal(op(e0,e2), e1))|equal(op(e0,e2), e2))|equal(op(e0,e2), e3)))&(((equal(op(e0,e3), e0)|equal(op(e0,e3), e1))|equal(op(e0,e3), e2))|equal(op(e0,e3), e3)))&(((equal(op(e1,e0), e0)|equal(op(e1,e0), e1))|equal(op(e1,e0), e2))|equal(op(e1,e0), e3)))&(((equal(op(e1,e1), e0)|equal(op(e1,e1), e1))|equal(op(e1,e1), e2))|equal(op(e1,e1), e3)))&(((equal(op(e1,e2), e0)|equal(op(e1,e2), e1))|equal(op(e1,e2), e2))|equal(op(e1,e2), e3)))&(((equal(op(e1,e3), e0)|equal(op(e1,e3), e1))|equal(op(e1,e3), e2))|equal(op(e1,e3), e3)))&(((equal(op(e2,e0), e0)|equal(op(e2,e0), e1))|equal(op(e2,e0), e2))|equal(op(e2,e0), e3)))&(((equal(op(e2,e1), e0)|equal(op(e2,e1), e1))|equal(op(e2,e1), e2))|equal(op(e2,e1), e3)))&(((equal(op(e2,e2), e0)|equal(op(e2,e2), e1))|equal(op(e2,e2), e2))|equal(op(e2,e2), e3)))=>epred5_0),introduced(definition)).+% fof(12, plain,(((((((((((((((~(((((((equal(op(e0,e0), e0)&equal(op(e1,e1), e0))&equal(op(e2,e2), e0))&equal(op(e3,e3), e0))|(((equal(op(e0,e0), e1)&equal(op(e1,e1), e1))&equal(op(e2,e2), e1))&equal(op(e3,e3), e1)))|(((equal(op(e0,e0), e2)&equal(op(e1,e1), e2))&equal(op(e2,e2), e2))&equal(op(e3,e3), e2)))|(((equal(op(e0,e0), e3)&equal(op(e1,e1), e3))&equal(op(e2,e2), e3))&equal(op(e3,e3), e3))))&(((equal(op(e0,e0), e0)|equal(op(e0,e0), e1))|equal(op(e0,e0), e2))|equal(op(e0,e0), e3)))&(((equal(op(e0,e1), e0)|equal(op(e0,e1), e1))|equal(op(e0,e1), e2))|equal(op(e0,e1), e3)))&(((equal(op(e0,e2), e0)|equal(op(e0,e2), e1))|equal(op(e0,e2), e2))|equal(op(e0,e2), e3)))&(((equal(op(e0,e3), e0)|equal(op(e0,e3), e1))|equal(op(e0,e3), e2))|equal(op(e0,e3), e3)))&(((equal(op(e1,e0), e0)|equal(op(e1,e0), e1))|equal(op(e1,e0), e2))|equal(op(e1,e0), e3)))&(((equal(op(e1,e1), e0)|equal(op(e1,e1), e1))|equal(op(e1,e1), e2))|equal(op(e1,e1), e3)))&(((equal(op(e1,e2), e0)|equal(op(e1,e2), e1))|equal(op(e1,e2), e2))|equal(op(e1,e2), e3)))&(((equal(op(e1,e3), e0)|equal(op(e1,e3), e1))|equal(op(e1,e3), e2))|equal(op(e1,e3), e3)))&(((equal(op(e2,e0), e0)|equal(op(e2,e0), e1))|equal(op(e2,e0), e2))|equal(op(e2,e0), e3)))&(((equal(op(e2,e1), e0)|equal(op(e2,e1), e1))|equal(op(e2,e1), e2))|equal(op(e2,e1), e3)))&(((equal(op(e2,e2), e0)|equal(op(e2,e2), e1))|equal(op(e2,e2), e2))|equal(op(e2,e2), e3)))&(((equal(op(e2,e3), e0)|equal(op(e2,e3), e1))|equal(op(e2,e3), e2))|equal(op(e2,e3), e3)))&(((equal(op(e3,e0), e0)|equal(op(e3,e0), e1))|equal(op(e3,e0), e2))|equal(op(e3,e0), e3)))&(((equal(op(e3,e1), e0)|equal(op(e3,e1), e1))|equal(op(e3,e1), e2))|equal(op(e3,e1), e3)))=>epred6_0),introduced(definition)).+% fof(13, plain,((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(((((((equal(op(e0,e0), e0)&equal(op(e1,e1), e0))&equal(op(e2,e2), e0))&equal(op(e3,e3), e0))|(((equal(op(e0,e0), e1)&equal(op(e1,e1), e1))&equal(op(e2,e2), e1))&equal(op(e3,e3), e1)))|(((equal(op(e0,e0), e2)&equal(op(e1,e1), e2))&equal(op(e2,e2), e2))&equal(op(e3,e3), e2)))|(((equal(op(e0,e0), e3)&equal(op(e1,e1), e3))&equal(op(e2,e2), e3))&equal(op(e3,e3), e3))))&(((equal(op(e0,e0), e0)|equal(op(e0,e0), e1))|equal(op(e0,e0), e2))|equal(op(e0,e0), e3)))&(((equal(op(e0,e1), e0)|equal(op(e0,e1), e1))|equal(op(e0,e1), e2))|equal(op(e0,e1), e3)))&(((equal(op(e0,e2), e0)|equal(op(e0,e2), e1))|equal(op(e0,e2), e2))|equal(op(e0,e2), e3)))&(((equal(op(e0,e3), e0)|equal(op(e0,e3), e1))|equal(op(e0,e3), e2))|equal(op(e0,e3), e3)))&(((equal(op(e1,e0), e0)|equal(op(e1,e0), e1))|equal(op(e1,e0), e2))|equal(op(e1,e0), e3)))&(((equal(op(e1,e1), e0)|equal(op(e1,e1), e1))|equal(op(e1,e1), e2))|equal(op(e1,e1), e3)))&(((equal(op(e1,e2), e0)|equal(op(e1,e2), e1))|equal(op(e1,e2), e2))|equal(op(e1,e2), e3)))&(((equal(op(e1,e3), e0)|equal(op(e1,e3), e1))|equal(op(e1,e3), e2))|equal(op(e1,e3), e3)))&(((equal(op(e2,e0), e0)|equal(op(e2,e0), e1))|equal(op(e2,e0), e2))|equal(op(e2,e0), e3)))&(((equal(op(e2,e1), e0)|equal(op(e2,e1), e1))|equal(op(e2,e1), e2))|equal(op(e2,e1), e3)))&(((equal(op(e2,e2), e0)|equal(op(e2,e2), e1))|equal(op(e2,e2), e2))|equal(op(e2,e2), e3)))&(((equal(op(e2,e3), e0)|equal(op(e2,e3), e1))|equal(op(e2,e3), e2))|equal(op(e2,e3), e3)))&(((equal(op(e3,e0), e0)|equal(op(e3,e0), e1))|equal(op(e3,e0), e2))|equal(op(e3,e0), e3)))&(((equal(op(e3,e1), e0)|equal(op(e3,e1), e1))|equal(op(e3,e1), e2))|equal(op(e3,e1), e3)))&(((equal(op(e3,e2), e0)|equal(op(e3,e2), e1))|equal(op(e3,e2), e2))|equal(op(e3,e2), e3)))&(((equal(op(e3,e3), e0)|equal(op(e3,e3), e1))|equal(op(e3,e3), e2))|equal(op(e3,e3), e3)))&equal(op(op(e0,e0),e0), op(e0,op(e0,e0))))&equal(op(op(e0,e0),e1), op(e0,op(e0,e1))))&equal(op(op(e0,e0),e2), op(e0,op(e0,e2))))&equal(op(op(e0,e0),e3), op(e0,op(e0,e3))))&equal(op(op(e0,e1),e0), op(e0,op(e1,e0))))&equal(op(op(e0,e1),e1), op(e0,op(e1,e1))))&equal(op(op(e0,e1),e2), op(e0,op(e1,e2))))&equal(op(op(e0,e1),e3), op(e0,op(e1,e3))))&equal(op(op(e0,e2),e0), op(e0,op(e2,e0))))&equal(op(op(e0,e2),e1), op(e0,op(e2,e1))))&equal(op(op(e0,e2),e2), op(e0,op(e2,e2))))&equal(op(op(e0,e2),e3), op(e0,op(e2,e3))))&equal(op(op(e0,e3),e0), op(e0,op(e3,e0))))&equal(op(op(e0,e3),e1), op(e0,op(e3,e1))))&equal(op(op(e0,e3),e2), op(e0,op(e3,e2))))&equal(op(op(e0,e3),e3), op(e0,op(e3,e3))))&equal(op(op(e1,e0),e0), op(e1,op(e0,e0))))&equal(op(op(e1,e0),e1), op(e1,op(e0,e1))))&equal(op(op(e1,e0),e2), op(e1,op(e0,e2))))&equal(op(op(e1,e0),e3), op(e1,op(e0,e3))))&equal(op(op(e1,e1),e0), op(e1,op(e1,e0))))&equal(op(op(e1,e1),e1), op(e1,op(e1,e1))))&equal(op(op(e1,e1),e2), op(e1,op(e1,e2))))&equal(op(op(e1,e1),e3), op(e1,op(e1,e3))))&equal(op(op(e1,e2),e0), op(e1,op(e2,e0))))&equal(op(op(e1,e2),e1), op(e1,op(e2,e1))))&equal(op(op(e1,e2),e2), op(e1,op(e2,e2))))&equal(op(op(e1,e2),e3), op(e1,op(e2,e3))))&equal(op(op(e1,e3),e0), op(e1,op(e3,e0))))&equal(op(op(e1,e3),e1), op(e1,op(e3,e1))))&equal(op(op(e1,e3),e2), op(e1,op(e3,e2))))&equal(op(op(e1,e3),e3), op(e1,op(e3,e3))))&equal(op(op(e2,e0),e0), op(e2,op(e0,e0))))&equal(op(op(e2,e0),e1), op(e2,op(e0,e1))))&equal(op(op(e2,e0),e2), op(e2,op(e0,e2))))&equal(op(op(e2,e0),e3), op(e2,op(e0,e3))))&equal(op(op(e2,e1),e0), op(e2,op(e1,e0))))&equal(op(op(e2,e1),e1), op(e2,op(e1,e1))))&equal(op(op(e2,e1),e2), op(e2,op(e1,e2))))&equal(op(op(e2,e1),e3), op(e2,op(e1,e3))))&equal(op(op(e2,e2),e0), op(e2,op(e2,e0))))&equal(op(op(e2,e2),e1), op(e2,op(e2,e1))))&equal(op(op(e2,e2),e2), op(e2,op(e2,e2))))&equal(op(op(e2,e2),e3), op(e2,op(e2,e3))))&equal(op(op(e2,e3),e0), op(e2,op(e3,e0))))&equal(op(op(e2,e3),e1), op(e2,op(e3,e1))))&equal(op(op(e2,e3),e2), op(e2,op(e3,e2))))&equal(op(op(e2,e3),e3), op(e2,op(e3,e3))))&equal(op(op(e3,e0),e0), op(e3,op(e0,e0))))&equal(op(op(e3,e0),e1), op(e3,op(e0,e1))))&equal(op(op(e3,e0),e2), op(e3,op(e0,e2))))&equal(op(op(e3,e0),e3), op(e3,op(e0,e3))))&equal(op(op(e3,e1),e0), op(e3,op(e1,e0))))&equal(op(op(e3,e1),e1), op(e3,op(e1,e1))))&equal(op(op(e3,e1),e2), op(e3,op(e1,e2))))&equal(op(op(e3,e1),e3), op(e3,op(e1,e3))))&equal(op(op(e3,e2),e0), op(e3,op(e2,e0))))&equal(op(op(e3,e2),e1), op(e3,op(e2,e1))))&equal(op(op(e3,e2),e2), op(e3,op(e2,e2))))&equal(op(op(e3,e2),e3), op(e3,op(e2,e3))))&equal(op(op(e3,e3),e0), op(e3,op(e3,e0))))&equal(op(op(e3,e3),e1), op(e3,op(e3,e1))))&equal(op(op(e3,e3),e2), op(e3,op(e3,e2))))&equal(op(op(e3,e3),e3), op(e3,op(e3,e3))))&equal(op(unit,e0), e0))&equal(op(e0,unit), e0))&equal(op(unit,e1), e1))&equal(op(e1,unit), e1))&equal(op(unit,e2), e2))&equal(op(e2,unit), e2))&equal(op(unit,e3), e3))&equal(op(e3,unit), e3))&(((equal(unit, e0)|equal(unit, e1))|equal(unit, e2))|equal(unit, e3)))=>epred7_0),introduced(definition)).+% fof(14, plain,(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(((((((equal(op(e0,e0), e0)&equal(op(e1,e1), e0))&equal(op(e2,e2), e0))&equal(op(e3,e3), e0))|(((equal(op(e0,e0), e1)&equal(op(e1,e1), e1))&equal(op(e2,e2), e1))&equal(op(e3,e3), e1)))|(((equal(op(e0,e0), e2)&equal(op(e1,e1), e2))&equal(op(e2,e2), e2))&equal(op(e3,e3), e2)))|(((equal(op(e0,e0), e3)&equal(op(e1,e1), e3))&equal(op(e2,e2), e3))&equal(op(e3,e3), e3))))&(((equal(op(e0,e0), e0)|equal(op(e0,e0), e1))|equal(op(e0,e0), e2))|equal(op(e0,e0), e3)))&(((equal(op(e0,e1), e0)|equal(op(e0,e1), e1))|equal(op(e0,e1), e2))|equal(op(e0,e1), e3)))&(((equal(op(e0,e2), e0)|equal(op(e0,e2), e1))|equal(op(e0,e2), e2))|equal(op(e0,e2), e3)))&(((equal(op(e0,e3), e0)|equal(op(e0,e3), e1))|equal(op(e0,e3), e2))|equal(op(e0,e3), e3)))&(((equal(op(e1,e0), e0)|equal(op(e1,e0), e1))|equal(op(e1,e0), e2))|equal(op(e1,e0), e3)))&(((equal(op(e1,e1), e0)|equal(op(e1,e1), e1))|equal(op(e1,e1), e2))|equal(op(e1,e1), e3)))&(((equal(op(e1,e2), e0)|equal(op(e1,e2), e1))|equal(op(e1,e2), e2))|equal(op(e1,e2), e3)))&(((equal(op(e1,e3), e0)|equal(op(e1,e3), e1))|equal(op(e1,e3), e2))|equal(op(e1,e3), e3)))&(((equal(op(e2,e0), e0)|equal(op(e2,e0), e1))|equal(op(e2,e0), e2))|equal(op(e2,e0), e3)))&(((equal(op(e2,e1), e0)|equal(op(e2,e1), e1))|equal(op(e2,e1), e2))|equal(op(e2,e1), e3)))&(((equal(op(e2,e2), e0)|equal(op(e2,e2), e1))|equal(op(e2,e2), e2))|equal(op(e2,e2), e3)))&(((equal(op(e2,e3), e0)|equal(op(e2,e3), e1))|equal(op(e2,e3), e2))|equal(op(e2,e3), e3)))&(((equal(op(e3,e0), e0)|equal(op(e3,e0), e1))|equal(op(e3,e0), e2))|equal(op(e3,e0), e3)))&(((equal(op(e3,e1), e0)|equal(op(e3,e1), e1))|equal(op(e3,e1), e2))|equal(op(e3,e1), e3)))&(((equal(op(e3,e2), e0)|equal(op(e3,e2), e1))|equal(op(e3,e2), e2))|equal(op(e3,e2), e3)))&(((equal(op(e3,e3), e0)|equal(op(e3,e3), e1))|equal(op(e3,e3), e2))|equal(op(e3,e3), e3)))&equal(op(op(e0,e0),e0), op(e0,op(e0,e0))))&equal(op(op(e0,e0),e1), op(e0,op(e0,e1))))&equal(op(op(e0,e0),e2), op(e0,op(e0,e2))))&equal(op(op(e0,e0),e3), op(e0,op(e0,e3))))&equal(op(op(e0,e1),e0), op(e0,op(e1,e0))))&equal(op(op(e0,e1),e1), op(e0,op(e1,e1))))&equal(op(op(e0,e1),e2), op(e0,op(e1,e2))))&equal(op(op(e0,e1),e3), op(e0,op(e1,e3))))&equal(op(op(e0,e2),e0), op(e0,op(e2,e0))))&equal(op(op(e0,e2),e1), op(e0,op(e2,e1))))&equal(op(op(e0,e2),e2), op(e0,op(e2,e2))))&equal(op(op(e0,e2),e3), op(e0,op(e2,e3))))&equal(op(op(e0,e3),e0), op(e0,op(e3,e0))))&equal(op(op(e0,e3),e1), op(e0,op(e3,e1))))&equal(op(op(e0,e3),e2), op(e0,op(e3,e2))))&equal(op(op(e0,e3),e3), op(e0,op(e3,e3))))&equal(op(op(e1,e0),e0), op(e1,op(e0,e0))))&equal(op(op(e1,e0),e1), op(e1,op(e0,e1))))&equal(op(op(e1,e0),e2), op(e1,op(e0,e2))))&equal(op(op(e1,e0),e3), op(e1,op(e0,e3))))&equal(op(op(e1,e1),e0), op(e1,op(e1,e0))))&equal(op(op(e1,e1),e1), op(e1,op(e1,e1))))&equal(op(op(e1,e1),e2), op(e1,op(e1,e2))))&equal(op(op(e1,e1),e3), op(e1,op(e1,e3))))&equal(op(op(e1,e2),e0), op(e1,op(e2,e0))))&equal(op(op(e1,e2),e1), op(e1,op(e2,e1))))&equal(op(op(e1,e2),e2), op(e1,op(e2,e2))))&equal(op(op(e1,e2),e3), op(e1,op(e2,e3))))&equal(op(op(e1,e3),e0), op(e1,op(e3,e0))))&equal(op(op(e1,e3),e1), op(e1,op(e3,e1))))&equal(op(op(e1,e3),e2), op(e1,op(e3,e2))))&equal(op(op(e1,e3),e3), op(e1,op(e3,e3))))&equal(op(op(e2,e0),e0), op(e2,op(e0,e0))))&equal(op(op(e2,e0),e1), op(e2,op(e0,e1))))&equal(op(op(e2,e0),e2), op(e2,op(e0,e2))))&equal(op(op(e2,e0),e3), op(e2,op(e0,e3))))&equal(op(op(e2,e1),e0), op(e2,op(e1,e0))))&equal(op(op(e2,e1),e1), op(e2,op(e1,e1))))&equal(op(op(e2,e1),e2), op(e2,op(e1,e2))))&equal(op(op(e2,e1),e3), op(e2,op(e1,e3))))&equal(op(op(e2,e2),e0), op(e2,op(e2,e0))))&equal(op(op(e2,e2),e1), op(e2,op(e2,e1))))&equal(op(op(e2,e2),e2), op(e2,op(e2,e2))))&equal(op(op(e2,e2),e3), op(e2,op(e2,e3))))&equal(op(op(e2,e3),e0), op(e2,op(e3,e0))))&equal(op(op(e2,e3),e1), op(e2,op(e3,e1))))&equal(op(op(e2,e3),e2), op(e2,op(e3,e2))))&equal(op(op(e2,e3),e3), op(e2,op(e3,e3))))&equal(op(op(e3,e0),e0), op(e3,op(e0,e0))))&equal(op(op(e3,e0),e1), op(e3,op(e0,e1))))&equal(op(op(e3,e0),e2), op(e3,op(e0,e2))))&equal(op(op(e3,e0),e3), op(e3,op(e0,e3))))&equal(op(op(e3,e1),e0), op(e3,op(e1,e0))))&equal(op(op(e3,e1),e1), op(e3,op(e1,e1))))&equal(op(op(e3,e1),e2), op(e3,op(e1,e2))))&equal(op(op(e3,e1),e3), op(e3,op(e1,e3))))&equal(op(op(e3,e2),e0), op(e3,op(e2,e0))))&equal(op(op(e3,e2),e1), op(e3,op(e2,e1))))&equal(op(op(e3,e2),e2), op(e3,op(e2,e2))))&equal(op(op(e3,e2),e3), op(e3,op(e2,e3))))&equal(op(op(e3,e3),e0), op(e3,op(e3,e0))))&equal(op(op(e3,e3),e1), op(e3,op(e3,e1))))&equal(op(op(e3,e3),e2), op(e3,op(e3,e2))))&equal(op(op(e3,e3),e3), op(e3,op(e3,e3))))&equal(op(unit,e0), e0))&equal(op(e0,unit), e0))&equal(op(unit,e1), e1))&equal(op(e1,unit), e1))&equal(op(unit,e2), e2))&equal(op(e2,unit), e2))&equal(op(unit,e3), e3))&equal(op(e3,unit), e3))&(((equal(unit, e0)|equal(unit, e1))|equal(unit, e2))|equal(unit, e3)))&equal(op(e0,inv(e0)), unit))&equal(op(inv(e0),e0), unit))&equal(op(e1,inv(e1)), unit))&equal(op(inv(e1),e1), unit))&equal(op(e2,inv(e2)), unit))&equal(op(inv(e2),e2), unit))&equal(op(e3,inv(e3)), unit))&equal(op(inv(e3),e3), unit))&(((equal(inv(e0), e0)|equal(inv(e0), e1))|equal(inv(e0), e2))|equal(inv(e0), e3)))&(((equal(inv(e1), e0)|equal(inv(e1), e1))|equal(inv(e1), e2))|equal(inv(e1), e3)))&(((equal(inv(e2), e0)|equal(inv(e2), e1))|equal(inv(e2), e2))|equal(inv(e2), e3)))=>epred8_0),introduced(definition)).+% fof(15, negated_conjecture,~((epred8_0&(((equal(inv(e3), e0)|equal(inv(e3), e1))|equal(inv(e3), e2))|equal(inv(e3), e3)))),inference(apply_def,[status(esa)],[6,14,theory(equality)])).+% fof(16, plain,(((~((epred1_0|(((equal(op(e0,e0), e3)&equal(op(e1,e1), e3))&equal(op(e2,e2), e3))&equal(op(e3,e3), e3))))&(((equal(op(e0,e0), e0)|equal(op(e0,e0), e1))|equal(op(e0,e0), e2))|equal(op(e0,e0), e3)))&(((equal(op(e0,e1), e0)|equal(op(e0,e1), e1))|equal(op(e0,e1), e2))|equal(op(e0,e1), e3)))=>epred2_0),inference(apply_def,[status(esa)],[8,7,theory(equality)])).+% fof(17, plain,((((epred2_0&(((equal(op(e0,e2), e0)|equal(op(e0,e2), e1))|equal(op(e0,e2), e2))|equal(op(e0,e2), e3)))&(((equal(op(e0,e3), e0)|equal(op(e0,e3), e1))|equal(op(e0,e3), e2))|equal(op(e0,e3), e3)))&(((equal(op(e1,e0), e0)|equal(op(e1,e0), e1))|equal(op(e1,e0), e2))|equal(op(e1,e0), e3)))=>epred3_0),inference(apply_def,[status(esa)],[9,16,theory(equality)])).+% fof(18, plain,((((epred3_0&(((equal(op(e1,e1), e0)|equal(op(e1,e1), e1))|equal(op(e1,e1), e2))|equal(op(e1,e1), e3)))&(((equal(op(e1,e2), e0)|equal(op(e1,e2), e1))|equal(op(e1,e2), e2))|equal(op(e1,e2), e3)))&(((equal(op(e1,e3), e0)|equal(op(e1,e3), e1))|equal(op(e1,e3), e2))|equal(op(e1,e3), e3)))=>epred4_0),inference(apply_def,[status(esa)],[10,17,theory(equality)])).+% fof(19, plain,((((epred4_0&(((equal(op(e2,e0), e0)|equal(op(e2,e0), e1))|equal(op(e2,e0), e2))|equal(op(e2,e0), e3)))&(((equal(op(e2,e1), e0)|equal(op(e2,e1), e1))|equal(op(e2,e1), e2))|equal(op(e2,e1), e3)))&(((equal(op(e2,e2), e0)|equal(op(e2,e2), e1))|equal(op(e2,e2), e2))|equal(op(e2,e2), e3)))=>epred5_0),inference(apply_def,[status(esa)],[11,18,theory(equality)])).+% fof(20, plain,((((epred5_0&(((equal(op(e2,e3), e0)|equal(op(e2,e3), e1))|equal(op(e2,e3), e2))|equal(op(e2,e3), e3)))&(((equal(op(e3,e0), e0)|equal(op(e3,e0), e1))|equal(op(e3,e0), e2))|equal(op(e3,e0), e3)))&(((equal(op(e3,e1), e0)|equal(op(e3,e1), e1))|equal(op(e3,e1), e2))|equal(op(e3,e1), e3)))=>epred6_0),inference(apply_def,[status(esa)],[12,19,theory(equality)])).+% fof(21, plain,((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((epred6_0&(((equal(op(e3,e2), e0)|equal(op(e3,e2), e1))|equal(op(e3,e2), e2))|equal(op(e3,e2), e3)))&(((equal(op(e3,e3), e0)|equal(op(e3,e3), e1))|equal(op(e3,e3), e2))|equal(op(e3,e3), e3)))&equal(op(op(e0,e0),e0), op(e0,op(e0,e0))))&equal(op(op(e0,e0),e1), op(e0,op(e0,e1))))&equal(op(op(e0,e0),e2), op(e0,op(e0,e2))))&equal(op(op(e0,e0),e3), op(e0,op(e0,e3))))&equal(op(op(e0,e1),e0), op(e0,op(e1,e0))))&equal(op(op(e0,e1),e1), op(e0,op(e1,e1))))&equal(op(op(e0,e1),e2), op(e0,op(e1,e2))))&equal(op(op(e0,e1),e3), op(e0,op(e1,e3))))&equal(op(op(e0,e2),e0), op(e0,op(e2,e0))))&equal(op(op(e0,e2),e1), op(e0,op(e2,e1))))&equal(op(op(e0,e2),e2), op(e0,op(e2,e2))))&equal(op(op(e0,e2),e3), op(e0,op(e2,e3))))&equal(op(op(e0,e3),e0), op(e0,op(e3,e0))))&equal(op(op(e0,e3),e1), op(e0,op(e3,e1))))&equal(op(op(e0,e3),e2), op(e0,op(e3,e2))))&equal(op(op(e0,e3),e3), op(e0,op(e3,e3))))&equal(op(op(e1,e0),e0), op(e1,op(e0,e0))))&equal(op(op(e1,e0),e1), op(e1,op(e0,e1))))&equal(op(op(e1,e0),e2), op(e1,op(e0,e2))))&equal(op(op(e1,e0),e3), op(e1,op(e0,e3))))&equal(op(op(e1,e1),e0), op(e1,op(e1,e0))))&equal(op(op(e1,e1),e1), op(e1,op(e1,e1))))&equal(op(op(e1,e1),e2), op(e1,op(e1,e2))))&equal(op(op(e1,e1),e3), op(e1,op(e1,e3))))&equal(op(op(e1,e2),e0), op(e1,op(e2,e0))))&equal(op(op(e1,e2),e1), op(e1,op(e2,e1))))&equal(op(op(e1,e2),e2), op(e1,op(e2,e2))))&equal(op(op(e1,e2),e3), op(e1,op(e2,e3))))&equal(op(op(e1,e3),e0), op(e1,op(e3,e0))))&equal(op(op(e1,e3),e1), op(e1,op(e3,e1))))&equal(op(op(e1,e3),e2), op(e1,op(e3,e2))))&equal(op(op(e1,e3),e3), op(e1,op(e3,e3))))&equal(op(op(e2,e0),e0), op(e2,op(e0,e0))))&equal(op(op(e2,e0),e1), op(e2,op(e0,e1))))&equal(op(op(e2,e0),e2), op(e2,op(e0,e2))))&equal(op(op(e2,e0),e3), op(e2,op(e0,e3))))&equal(op(op(e2,e1),e0), op(e2,op(e1,e0))))&equal(op(op(e2,e1),e1), op(e2,op(e1,e1))))&equal(op(op(e2,e1),e2), op(e2,op(e1,e2))))&equal(op(op(e2,e1),e3), op(e2,op(e1,e3))))&equal(op(op(e2,e2),e0), op(e2,op(e2,e0))))&equal(op(op(e2,e2),e1), op(e2,op(e2,e1))))&equal(op(op(e2,e2),e2), op(e2,op(e2,e2))))&equal(op(op(e2,e2),e3), op(e2,op(e2,e3))))&equal(op(op(e2,e3),e0), op(e2,op(e3,e0))))&equal(op(op(e2,e3),e1), op(e2,op(e3,e1))))&equal(op(op(e2,e3),e2), op(e2,op(e3,e2))))&equal(op(op(e2,e3),e3), op(e2,op(e3,e3))))&equal(op(op(e3,e0),e0), op(e3,op(e0,e0))))&equal(op(op(e3,e0),e1), op(e3,op(e0,e1))))&equal(op(op(e3,e0),e2), op(e3,op(e0,e2))))&equal(op(op(e3,e0),e3), op(e3,op(e0,e3))))&equal(op(op(e3,e1),e0), op(e3,op(e1,e0))))&equal(op(op(e3,e1),e1), op(e3,op(e1,e1))))&equal(op(op(e3,e1),e2), op(e3,op(e1,e2))))&equal(op(op(e3,e1),e3), op(e3,op(e1,e3))))&equal(op(op(e3,e2),e0), op(e3,op(e2,e0))))&equal(op(op(e3,e2),e1), op(e3,op(e2,e1))))&equal(op(op(e3,e2),e2), op(e3,op(e2,e2))))&equal(op(op(e3,e2),e3), op(e3,op(e2,e3))))&equal(op(op(e3,e3),e0), op(e3,op(e3,e0))))&equal(op(op(e3,e3),e1), op(e3,op(e3,e1))))&equal(op(op(e3,e3),e2), op(e3,op(e3,e2))))&equal(op(op(e3,e3),e3), op(e3,op(e3,e3))))&equal(op(unit,e0), e0))&equal(op(e0,unit), e0))&equal(op(unit,e1), e1))&equal(op(e1,unit), e1))&equal(op(unit,e2), e2))&equal(op(e2,unit), e2))&equal(op(unit,e3), e3))&equal(op(e3,unit), e3))&(((equal(unit, e0)|equal(unit, e1))|equal(unit, e2))|equal(unit, e3)))=>epred7_0),inference(apply_def,[status(esa)],[13,20,theory(equality)])).+% fof(22, plain,((((((((((((epred7_0&equal(op(e0,inv(e0)), unit))&equal(op(inv(e0),e0), unit))&equal(op(e1,inv(e1)), unit))&equal(op(inv(e1),e1), unit))&equal(op(e2,inv(e2)), unit))&equal(op(inv(e2),e2), unit))&equal(op(e3,inv(e3)), unit))&equal(op(inv(e3),e3), unit))&(((equal(inv(e0), e0)|equal(inv(e0), e1))|equal(inv(e0), e2))|equal(inv(e0), e3)))&(((equal(inv(e1), e0)|equal(inv(e1), e1))|equal(inv(e1), e2))|equal(inv(e1), e3)))&(((equal(inv(e2), e0)|equal(inv(e2), e1))|equal(inv(e2), e2))|equal(inv(e2), e3)))=>epred8_0),inference(apply_def,[status(esa)],[14,21,theory(equality)])).+% cnf(23,plain,(op(e3,e3)=e0),inference(split_conjunct,[status(thm)],[1])).+% cnf(24,plain,(op(e3,e2)=e1),inference(split_conjunct,[status(thm)],[1])).+% cnf(25,plain,(op(e3,e1)=e2),inference(split_conjunct,[status(thm)],[1])).+% cnf(26,plain,(op(e3,e0)=e3),inference(split_conjunct,[status(thm)],[1])).+% cnf(27,plain,(op(e2,e3)=e1),inference(split_conjunct,[status(thm)],[1])).+% cnf(28,plain,(op(e2,e2)=e3),inference(split_conjunct,[status(thm)],[1])).+% cnf(29,plain,(op(e2,e1)=e0),inference(split_conjunct,[status(thm)],[1])).+% cnf(30,plain,(op(e2,e0)=e2),inference(split_conjunct,[status(thm)],[1])).+% cnf(31,plain,(op(e1,e3)=e2),inference(split_conjunct,[status(thm)],[1])).+% cnf(32,plain,(op(e1,e2)=e0),inference(split_conjunct,[status(thm)],[1])).+% cnf(33,plain,(op(e1,e1)=e3),inference(split_conjunct,[status(thm)],[1])).+% cnf(34,plain,(op(e1,e0)=e1),inference(split_conjunct,[status(thm)],[1])).+% cnf(35,plain,(op(e0,e3)=e3),inference(split_conjunct,[status(thm)],[1])).+% cnf(36,plain,(op(e0,e2)=e2),inference(split_conjunct,[status(thm)],[1])).+% cnf(37,plain,(op(e0,e1)=e1),inference(split_conjunct,[status(thm)],[1])).+% cnf(38,plain,(op(e0,e0)=e0),inference(split_conjunct,[status(thm)],[1])).+% cnf(39,plain,(unit=e0),inference(split_conjunct,[status(thm)],[2])).+% fof(40, negated_conjecture,(~(epred8_0)|(((~(equal(inv(e3), e0))&~(equal(inv(e3), e1)))&~(equal(inv(e3), e2)))&~(equal(inv(e3), e3)))),inference(fof_nnf,[status(thm)],[15])).+% fof(41, negated_conjecture,((((~(equal(inv(e3), e0))|~(epred8_0))&(~(equal(inv(e3), e1))|~(epred8_0)))&(~(equal(inv(e3), e2))|~(epred8_0)))&(~(equal(inv(e3), e3))|~(epred8_0))),inference(distribute,[status(thm)],[40])).+% cnf(42,negated_conjecture,(~epred8_0|inv(e3)!=e3),inference(split_conjunct,[status(thm)],[41])).+% cnf(46,plain,(e2!=e3),inference(split_conjunct,[status(thm)],[4])).+% cnf(47,plain,(e1!=e3),inference(split_conjunct,[status(thm)],[4])).+% cnf(49,plain,(e0!=e3),inference(split_conjunct,[status(thm)],[4])).+% cnf(52,plain,(inv(e3)=e3),inference(split_conjunct,[status(thm)],[5])).+% cnf(53,plain,(inv(e2)=e1),inference(split_conjunct,[status(thm)],[5])).+% cnf(54,plain,(inv(e1)=e2),inference(split_conjunct,[status(thm)],[5])).+% cnf(55,plain,(inv(e0)=e0),inference(split_conjunct,[status(thm)],[5])).+% fof(56, plain,(~(epred1_0)|(((((equal(op(e0,e0), e0)&equal(op(e1,e1), e0))&equal(op(e2,e2), e0))&equal(op(e3,e3), e0))|(((equal(op(e0,e0), e1)&equal(op(e1,e1), e1))&equal(op(e2,e2), e1))&equal(op(e3,e3), e1)))|(((equal(op(e0,e0), e2)&equal(op(e1,e1), e2))&equal(op(e2,e2), e2))&equal(op(e3,e3), e2)))),inference(fof_nnf,[status(thm)],[7])).+% fof(57, plain,(((((((((((equal(op(e0,e0), e2)|(equal(op(e0,e0), e1)|equal(op(e0,e0), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e0,e0), e1)|equal(op(e0,e0), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e0,e0), e1)|equal(op(e0,e0), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e0,e0), e1)|equal(op(e0,e0), e0)))|~(epred1_0)))&(((((equal(op(e0,e0), e2)|(equal(op(e1,e1), e1)|equal(op(e0,e0), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e1,e1), e1)|equal(op(e0,e0), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e1,e1), e1)|equal(op(e0,e0), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e1,e1), e1)|equal(op(e0,e0), e0)))|~(epred1_0))))&(((((equal(op(e0,e0), e2)|(equal(op(e2,e2), e1)|equal(op(e0,e0), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e2,e2), e1)|equal(op(e0,e0), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e2,e2), e1)|equal(op(e0,e0), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e2,e2), e1)|equal(op(e0,e0), e0)))|~(epred1_0))))&(((((equal(op(e0,e0), e2)|(equal(op(e3,e3), e1)|equal(op(e0,e0), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e3,e3), e1)|equal(op(e0,e0), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e3,e3), e1)|equal(op(e0,e0), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e3,e3), e1)|equal(op(e0,e0), e0)))|~(epred1_0))))&((((((((equal(op(e0,e0), e2)|(equal(op(e0,e0), e1)|equal(op(e1,e1), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e0,e0), e1)|equal(op(e1,e1), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e0,e0), e1)|equal(op(e1,e1), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e0,e0), e1)|equal(op(e1,e1), e0)))|~(epred1_0)))&(((((equal(op(e0,e0), e2)|(equal(op(e1,e1), e1)|equal(op(e1,e1), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e1,e1), e1)|equal(op(e1,e1), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e1,e1), e1)|equal(op(e1,e1), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e1,e1), e1)|equal(op(e1,e1), e0)))|~(epred1_0))))&(((((equal(op(e0,e0), e2)|(equal(op(e2,e2), e1)|equal(op(e1,e1), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e2,e2), e1)|equal(op(e1,e1), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e2,e2), e1)|equal(op(e1,e1), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e2,e2), e1)|equal(op(e1,e1), e0)))|~(epred1_0))))&(((((equal(op(e0,e0), e2)|(equal(op(e3,e3), e1)|equal(op(e1,e1), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e3,e3), e1)|equal(op(e1,e1), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e3,e3), e1)|equal(op(e1,e1), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e3,e3), e1)|equal(op(e1,e1), e0)))|~(epred1_0)))))&((((((((equal(op(e0,e0), e2)|(equal(op(e0,e0), e1)|equal(op(e2,e2), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e0,e0), e1)|equal(op(e2,e2), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e0,e0), e1)|equal(op(e2,e2), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e0,e0), e1)|equal(op(e2,e2), e0)))|~(epred1_0)))&(((((equal(op(e0,e0), e2)|(equal(op(e1,e1), e1)|equal(op(e2,e2), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e1,e1), e1)|equal(op(e2,e2), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e1,e1), e1)|equal(op(e2,e2), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e1,e1), e1)|equal(op(e2,e2), e0)))|~(epred1_0))))&(((((equal(op(e0,e0), e2)|(equal(op(e2,e2), e1)|equal(op(e2,e2), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e2,e2), e1)|equal(op(e2,e2), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e2,e2), e1)|equal(op(e2,e2), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e2,e2), e1)|equal(op(e2,e2), e0)))|~(epred1_0))))&(((((equal(op(e0,e0), e2)|(equal(op(e3,e3), e1)|equal(op(e2,e2), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e3,e3), e1)|equal(op(e2,e2), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e3,e3), e1)|equal(op(e2,e2), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e3,e3), e1)|equal(op(e2,e2), e0)))|~(epred1_0)))))&((((((((equal(op(e0,e0), e2)|(equal(op(e0,e0), e1)|equal(op(e3,e3), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e0,e0), e1)|equal(op(e3,e3), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e0,e0), e1)|equal(op(e3,e3), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e0,e0), e1)|equal(op(e3,e3), e0)))|~(epred1_0)))&(((((equal(op(e0,e0), e2)|(equal(op(e1,e1), e1)|equal(op(e3,e3), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e1,e1), e1)|equal(op(e3,e3), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e1,e1), e1)|equal(op(e3,e3), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e1,e1), e1)|equal(op(e3,e3), e0)))|~(epred1_0))))&(((((equal(op(e0,e0), e2)|(equal(op(e2,e2), e1)|equal(op(e3,e3), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e2,e2), e1)|equal(op(e3,e3), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e2,e2), e1)|equal(op(e3,e3), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e2,e2), e1)|equal(op(e3,e3), e0)))|~(epred1_0))))&(((((equal(op(e0,e0), e2)|(equal(op(e3,e3), e1)|equal(op(e3,e3), e0)))|~(epred1_0))&((equal(op(e1,e1), e2)|(equal(op(e3,e3), e1)|equal(op(e3,e3), e0)))|~(epred1_0)))&((equal(op(e2,e2), e2)|(equal(op(e3,e3), e1)|equal(op(e3,e3), e0)))|~(epred1_0)))&((equal(op(e3,e3), e2)|(equal(op(e3,e3), e1)|equal(op(e3,e3), e0)))|~(epred1_0))))),inference(distribute,[status(thm)],[56])).+% cnf(100,plain,(op(e1,e1)=e0|op(e1,e1)=e1|op(e1,e1)=e2|~epred1_0),inference(split_conjunct,[status(thm)],[57])).+% fof(122, plain,((((epred1_0|(((equal(op(e0,e0), e3)&equal(op(e1,e1), e3))&equal(op(e2,e2), e3))&equal(op(e3,e3), e3)))|(((~(equal(op(e0,e0), e0))&~(equal(op(e0,e0), e1)))&~(equal(op(e0,e0), e2)))&~(equal(op(e0,e0), e3))))|(((~(equal(op(e0,e1), e0))&~(equal(op(e0,e1), e1)))&~(equal(op(e0,e1), e2)))&~(equal(op(e0,e1), e3))))|epred2_0),inference(fof_nnf,[status(thm)],[16])).+% fof(123, plain,(((((((((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e0))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e0))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e0))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e0))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e1))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e1))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e1))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e1))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0)))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e2))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e2))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e2))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e2))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0)))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e3))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e3))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e3))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e3))|(equal(op(e0,e0), e3)|epred1_0)))|epred2_0)))&((((((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e0))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e0))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e0))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e0))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e1))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e1))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e1))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e1))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0)))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e2))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e2))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e2))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e2))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0)))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e3))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e3))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e3))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e3))|(equal(op(e1,e1), e3)|epred1_0)))|epred2_0))))&((((((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e0))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e0))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e0))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e0))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e1))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e1))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e1))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e1))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0)))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e2))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e2))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e2))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e2))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0)))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e3))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e3))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e3))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e3))|(equal(op(e2,e2), e3)|epred1_0)))|epred2_0))))&((((((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e0))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e0))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e0))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e0))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e1))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e1))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e1))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e1))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0)))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e2))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e2))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e2))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e2))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0)))&(((((~(equal(op(e0,e1), e0))|(~(equal(op(e0,e0), e3))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0)&((~(equal(op(e0,e1), e1))|(~(equal(op(e0,e0), e3))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e2))|(~(equal(op(e0,e0), e3))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0))&((~(equal(op(e0,e1), e3))|(~(equal(op(e0,e0), e3))|(equal(op(e3,e3), e3)|epred1_0)))|epred2_0)))),inference(distribute,[status(thm)],[122])).+% cnf(186,plain,(epred2_0|epred1_0|op(e0,e0)=e3|op(e0,e0)!=e0|op(e0,e1)!=e1),inference(split_conjunct,[status(thm)],[123])).+% fof(188, plain,((((~(epred2_0)|(((~(equal(op(e0,e2), e0))&~(equal(op(e0,e2), e1)))&~(equal(op(e0,e2), e2)))&~(equal(op(e0,e2), e3))))|(((~(equal(op(e0,e3), e0))&~(equal(op(e0,e3), e1)))&~(equal(op(e0,e3), e2)))&~(equal(op(e0,e3), e3))))|(((~(equal(op(e1,e0), e0))&~(equal(op(e1,e0), e1)))&~(equal(op(e1,e0), e2)))&~(equal(op(e1,e0), e3))))|epred3_0),inference(fof_nnf,[status(thm)],[17])).+% fof(189, plain,(((((((((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0)))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0)))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e0))|~(epred2_0))))|epred3_0)))&((((((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0)))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0)))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e1))|~(epred2_0))))|epred3_0))))&((((((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0)))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0)))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e2))|~(epred2_0))))|epred3_0))))&((((((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e0))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e1))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0)))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e2))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0)))&(((((~(equal(op(e1,e0), e0))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0)&((~(equal(op(e1,e0), e1))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e2))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0))&((~(equal(op(e1,e0), e3))|(~(equal(op(e0,e3), e3))|(~(equal(op(e0,e2), e3))|~(epred2_0))))|epred3_0)))),inference(distribute,[status(thm)],[188])).+% cnf(208,plain,(epred3_0|~epred2_0|op(e0,e2)!=e2|op(e0,e3)!=e3|op(e1,e0)!=e1),inference(split_conjunct,[status(thm)],[189])).+% fof(254, plain,((((~(epred3_0)|(((~(equal(op(e1,e1), e0))&~(equal(op(e1,e1), e1)))&~(equal(op(e1,e1), e2)))&~(equal(op(e1,e1), e3))))|(((~(equal(op(e1,e2), e0))&~(equal(op(e1,e2), e1)))&~(equal(op(e1,e2), e2)))&~(equal(op(e1,e2), e3))))|(((~(equal(op(e1,e3), e0))&~(equal(op(e1,e3), e1)))&~(equal(op(e1,e3), e2)))&~(equal(op(e1,e3), e3))))|epred4_0),inference(fof_nnf,[status(thm)],[18])).+% fof(255, plain,(((((((((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0)))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0)))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e0))|~(epred3_0))))|epred4_0)))&((((((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0)))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0)))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e1))|~(epred3_0))))|epred4_0))))&((((((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0)))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0)))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e2))|~(epred3_0))))|epred4_0))))&((((((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e0))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e1))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0)))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e2))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0)))&(((((~(equal(op(e1,e3), e0))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0)&((~(equal(op(e1,e3), e1))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e2))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0))&((~(equal(op(e1,e3), e3))|(~(equal(op(e1,e2), e3))|(~(equal(op(e1,e1), e3))|~(epred3_0))))|epred4_0)))),inference(distribute,[status(thm)],[254])).+% cnf(269,plain,(epred4_0|~epred3_0|op(e1,e1)!=e3|op(e1,e2)!=e0|op(e1,e3)!=e2),inference(split_conjunct,[status(thm)],[255])).+% fof(320, plain,((((~(epred4_0)|(((~(equal(op(e2,e0), e0))&~(equal(op(e2,e0), e1)))&~(equal(op(e2,e0), e2)))&~(equal(op(e2,e0), e3))))|(((~(equal(op(e2,e1), e0))&~(equal(op(e2,e1), e1)))&~(equal(op(e2,e1), e2)))&~(equal(op(e2,e1), e3))))|(((~(equal(op(e2,e2), e0))&~(equal(op(e2,e2), e1)))&~(equal(op(e2,e2), e2)))&~(equal(op(e2,e2), e3))))|epred5_0),inference(fof_nnf,[status(thm)],[19])).+% fof(321, plain,(((((((((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0)))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0)))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e0))|~(epred4_0))))|epred5_0)))&((((((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0)))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0)))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e1))|~(epred4_0))))|epred5_0))))&((((((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0)))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0)))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e2))|~(epred4_0))))|epred5_0))))&((((((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e0))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e1))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0)))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e2))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0)))&(((((~(equal(op(e2,e2), e0))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0)&((~(equal(op(e2,e2), e1))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e2))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0))&((~(equal(op(e2,e2), e3))|(~(equal(op(e2,e1), e3))|(~(equal(op(e2,e0), e3))|~(epred4_0))))|epred5_0)))),inference(distribute,[status(thm)],[320])).+% cnf(350,plain,(epred5_0|~epred4_0|op(e2,e0)!=e2|op(e2,e1)!=e0|op(e2,e2)!=e3),inference(split_conjunct,[status(thm)],[321])).+% fof(386, plain,((((~(epred5_0)|(((~(equal(op(e2,e3), e0))&~(equal(op(e2,e3), e1)))&~(equal(op(e2,e3), e2)))&~(equal(op(e2,e3), e3))))|(((~(equal(op(e3,e0), e0))&~(equal(op(e3,e0), e1)))&~(equal(op(e3,e0), e2)))&~(equal(op(e3,e0), e3))))|(((~(equal(op(e3,e1), e0))&~(equal(op(e3,e1), e1)))&~(equal(op(e3,e1), e2)))&~(equal(op(e3,e1), e3))))|epred6_0),inference(fof_nnf,[status(thm)],[20])).+% fof(387, plain,(((((((((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0)))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0)))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e0))|~(epred5_0))))|epred6_0)))&((((((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0)))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0)))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e1))|~(epred5_0))))|epred6_0))))&((((((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0)))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0)))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e2))|~(epred5_0))))|epred6_0))))&((((((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e0))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e1))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0)))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e2))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0)))&(((((~(equal(op(e3,e1), e0))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0)&((~(equal(op(e3,e1), e1))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e2))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0))&((~(equal(op(e3,e1), e3))|(~(equal(op(e3,e0), e3))|(~(equal(op(e2,e3), e3))|~(epred5_0))))|epred6_0)))),inference(distribute,[status(thm)],[386])).+% cnf(421,plain,(epred6_0|~epred5_0|op(e2,e3)!=e1|op(e3,e0)!=e3|op(e3,e1)!=e2),inference(split_conjunct,[status(thm)],[387])).+% fof(452, plain,((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(epred6_0)|(((~(equal(op(e3,e2), e0))&~(equal(op(e3,e2), e1)))&~(equal(op(e3,e2), e2)))&~(equal(op(e3,e2), e3))))|(((~(equal(op(e3,e3), e0))&~(equal(op(e3,e3), e1)))&~(equal(op(e3,e3), e2)))&~(equal(op(e3,e3), e3))))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3)))|(((~(equal(unit, e0))&~(equal(unit, e1)))&~(equal(unit, e2)))&~(equal(unit, e3))))|epred7_0),inference(fof_nnf,[status(thm)],[21])).+% fof(453, plain,(((((((((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e0))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)))&((((((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e1))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))))&((((((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e2))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))))&((((((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e0))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e1))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e2))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)))&(((((~(equal(unit, e0))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)&((~(equal(unit, e1))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e2))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0))&((~(equal(unit, e3))|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(equal(op(e3,e3), e3))|(~(equal(op(e3,e2), e3))|~(epred6_0)))|~(equal(op(op(e0,e0),e0), op(e0,op(e0,e0)))))|~(equal(op(op(e0,e0),e1), op(e0,op(e0,e1)))))|~(equal(op(op(e0,e0),e2), op(e0,op(e0,e2)))))|~(equal(op(op(e0,e0),e3), op(e0,op(e0,e3)))))|~(equal(op(op(e0,e1),e0), op(e0,op(e1,e0)))))|~(equal(op(op(e0,e1),e1), op(e0,op(e1,e1)))))|~(equal(op(op(e0,e1),e2), op(e0,op(e1,e2)))))|~(equal(op(op(e0,e1),e3), op(e0,op(e1,e3)))))|~(equal(op(op(e0,e2),e0), op(e0,op(e2,e0)))))|~(equal(op(op(e0,e2),e1), op(e0,op(e2,e1)))))|~(equal(op(op(e0,e2),e2), op(e0,op(e2,e2)))))|~(equal(op(op(e0,e2),e3), op(e0,op(e2,e3)))))|~(equal(op(op(e0,e3),e0), op(e0,op(e3,e0)))))|~(equal(op(op(e0,e3),e1), op(e0,op(e3,e1)))))|~(equal(op(op(e0,e3),e2), op(e0,op(e3,e2)))))|~(equal(op(op(e0,e3),e3), op(e0,op(e3,e3)))))|~(equal(op(op(e1,e0),e0), op(e1,op(e0,e0)))))|~(equal(op(op(e1,e0),e1), op(e1,op(e0,e1)))))|~(equal(op(op(e1,e0),e2), op(e1,op(e0,e2)))))|~(equal(op(op(e1,e0),e3), op(e1,op(e0,e3)))))|~(equal(op(op(e1,e1),e0), op(e1,op(e1,e0)))))|~(equal(op(op(e1,e1),e1), op(e1,op(e1,e1)))))|~(equal(op(op(e1,e1),e2), op(e1,op(e1,e2)))))|~(equal(op(op(e1,e1),e3), op(e1,op(e1,e3)))))|~(equal(op(op(e1,e2),e0), op(e1,op(e2,e0)))))|~(equal(op(op(e1,e2),e1), op(e1,op(e2,e1)))))|~(equal(op(op(e1,e2),e2), op(e1,op(e2,e2)))))|~(equal(op(op(e1,e2),e3), op(e1,op(e2,e3)))))|~(equal(op(op(e1,e3),e0), op(e1,op(e3,e0)))))|~(equal(op(op(e1,e3),e1), op(e1,op(e3,e1)))))|~(equal(op(op(e1,e3),e2), op(e1,op(e3,e2)))))|~(equal(op(op(e1,e3),e3), op(e1,op(e3,e3)))))|~(equal(op(op(e2,e0),e0), op(e2,op(e0,e0)))))|~(equal(op(op(e2,e0),e1), op(e2,op(e0,e1)))))|~(equal(op(op(e2,e0),e2), op(e2,op(e0,e2)))))|~(equal(op(op(e2,e0),e3), op(e2,op(e0,e3)))))|~(equal(op(op(e2,e1),e0), op(e2,op(e1,e0)))))|~(equal(op(op(e2,e1),e1), op(e2,op(e1,e1)))))|~(equal(op(op(e2,e1),e2), op(e2,op(e1,e2)))))|~(equal(op(op(e2,e1),e3), op(e2,op(e1,e3)))))|~(equal(op(op(e2,e2),e0), op(e2,op(e2,e0)))))|~(equal(op(op(e2,e2),e1), op(e2,op(e2,e1)))))|~(equal(op(op(e2,e2),e2), op(e2,op(e2,e2)))))|~(equal(op(op(e2,e2),e3), op(e2,op(e2,e3)))))|~(equal(op(op(e2,e3),e0), op(e2,op(e3,e0)))))|~(equal(op(op(e2,e3),e1), op(e2,op(e3,e1)))))|~(equal(op(op(e2,e3),e2), op(e2,op(e3,e2)))))|~(equal(op(op(e2,e3),e3), op(e2,op(e3,e3)))))|~(equal(op(op(e3,e0),e0), op(e3,op(e0,e0)))))|~(equal(op(op(e3,e0),e1), op(e3,op(e0,e1)))))|~(equal(op(op(e3,e0),e2), op(e3,op(e0,e2)))))|~(equal(op(op(e3,e0),e3), op(e3,op(e0,e3)))))|~(equal(op(op(e3,e1),e0), op(e3,op(e1,e0)))))|~(equal(op(op(e3,e1),e1), op(e3,op(e1,e1)))))|~(equal(op(op(e3,e1),e2), op(e3,op(e1,e2)))))|~(equal(op(op(e3,e1),e3), op(e3,op(e1,e3)))))|~(equal(op(op(e3,e2),e0), op(e3,op(e2,e0)))))|~(equal(op(op(e3,e2),e1), op(e3,op(e2,e1)))))|~(equal(op(op(e3,e2),e2), op(e3,op(e2,e2)))))|~(equal(op(op(e3,e2),e3), op(e3,op(e2,e3)))))|~(equal(op(op(e3,e3),e0), op(e3,op(e3,e0)))))|~(equal(op(op(e3,e3),e1), op(e3,op(e3,e1)))))|~(equal(op(op(e3,e3),e2), op(e3,op(e3,e2)))))|~(equal(op(op(e3,e3),e3), op(e3,op(e3,e3)))))|~(equal(op(unit,e0), e0)))|~(equal(op(e0,unit), e0)))|~(equal(op(unit,e1), e1)))|~(equal(op(e1,unit), e1)))|~(equal(op(unit,e2), e2)))|~(equal(op(e2,unit), e2)))|~(equal(op(unit,e3), e3)))|~(equal(op(e3,unit), e3))))|epred7_0)))),inference(distribute,[status(thm)],[452])).+% cnf(501,plain,(epred7_0|op(e3,unit)!=e3|op(unit,e3)!=e3|op(e2,unit)!=e2|op(unit,e2)!=e2|op(e1,unit)!=e1|op(unit,e1)!=e1|op(e0,unit)!=e0|op(unit,e0)!=e0|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|~epred6_0|op(e3,e2)!=e1|op(e3,e3)!=e0|unit!=e0),inference(split_conjunct,[status(thm)],[453])).+% fof(518, plain,((((((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit)))|(((~(equal(inv(e0), e0))&~(equal(inv(e0), e1)))&~(equal(inv(e0), e2)))&~(equal(inv(e0), e3))))|(((~(equal(inv(e1), e0))&~(equal(inv(e1), e1)))&~(equal(inv(e1), e2)))&~(equal(inv(e1), e3))))|(((~(equal(inv(e2), e0))&~(equal(inv(e2), e1)))&~(equal(inv(e2), e2)))&~(equal(inv(e2), e3))))|epred8_0),inference(fof_nnf,[status(thm)],[22])).+% fof(519, plain,(((((((((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e0))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)))&((((((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e1))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))))&((((((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e2))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))))&((((((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e0))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e1))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e2))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)))&(((((~(equal(inv(e2), e0))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)&((~(equal(inv(e2), e1))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e2))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0))&((~(equal(inv(e2), e3))|(~(equal(inv(e1), e3))|(~(equal(inv(e0), e3))|((((((((~(epred7_0)|~(equal(op(e0,inv(e0)), unit)))|~(equal(op(inv(e0),e0), unit)))|~(equal(op(e1,inv(e1)), unit)))|~(equal(op(inv(e1),e1), unit)))|~(equal(op(e2,inv(e2)), unit)))|~(equal(op(inv(e2),e2), unit)))|~(equal(op(e3,inv(e3)), unit)))|~(equal(op(inv(e3),e3), unit))))))|epred8_0)))),inference(distribute,[status(thm)],[518])).+% cnf(574,plain,(epred8_0|op(inv(e3),e3)!=unit|op(e3,inv(e3))!=unit|op(inv(e2),e2)!=unit|op(e2,inv(e2))!=unit|op(inv(e1),e1)!=unit|op(e1,inv(e1))!=unit|op(inv(e0),e0)!=unit|op(e0,inv(e0))!=unit|~epred7_0|inv(e0)!=e0|inv(e1)!=e2|inv(e2)!=e1),inference(split_conjunct,[status(thm)],[519])).+% cnf(584,plain,(unit!=e3),inference(rw,[status(thm)],[49,39,theory(equality)])).+% cnf(587,plain,(inv(unit)=e0),inference(rw,[status(thm)],[55,39,theory(equality)])).+% cnf(588,plain,(inv(unit)=unit),inference(rw,[status(thm)],[587,39,theory(equality)])).+% cnf(592,plain,(op(unit,unit)=e0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[38,39,theory(equality)]),39,theory(equality)])).+% cnf(593,plain,(op(unit,unit)=unit),inference(rw,[status(thm)],[592,39,theory(equality)])).+% cnf(594,plain,(op(unit,e1)=e1),inference(rw,[status(thm)],[37,39,theory(equality)])).+% cnf(595,plain,(op(unit,e2)=e2),inference(rw,[status(thm)],[36,39,theory(equality)])).+% cnf(597,negated_conjecture,($false|~epred8_0),inference(rw,[status(thm)],[42,52,theory(equality)])).+% cnf(598,negated_conjecture,(~epred8_0),inference(cn,[status(thm)],[597,theory(equality)])).+% cnf(599,plain,(op(unit,e3)=e3),inference(rw,[status(thm)],[35,39,theory(equality)])).+% cnf(600,plain,(op(e1,unit)=e1),inference(rw,[status(thm)],[34,39,theory(equality)])).+% cnf(601,plain,(op(e1,e2)=unit),inference(rw,[status(thm)],[32,39,theory(equality)])).+% cnf(602,plain,(op(e2,unit)=e2),inference(rw,[status(thm)],[30,39,theory(equality)])).+% cnf(603,plain,(op(e2,e1)=unit),inference(rw,[status(thm)],[29,39,theory(equality)])).+% cnf(604,plain,(op(e3,unit)=e3),inference(rw,[status(thm)],[26,39,theory(equality)])).+% cnf(605,plain,(op(e3,e3)=unit),inference(rw,[status(thm)],[23,39,theory(equality)])).+% cnf(831,plain,(e3=e0|op(e1,e1)=e1|op(e1,e1)=e2|~epred1_0),inference(rw,[status(thm)],[100,33,theory(equality)])).+% cnf(832,plain,(e3=unit|op(e1,e1)=e1|op(e1,e1)=e2|~epred1_0),inference(rw,[status(thm)],[831,39,theory(equality)])).+% cnf(833,plain,(e3=unit|e3=e1|op(e1,e1)=e2|~epred1_0),inference(rw,[status(thm)],[832,33,theory(equality)])).+% cnf(834,plain,(e3=unit|e3=e1|e3=e2|~epred1_0),inference(rw,[status(thm)],[833,33,theory(equality)])).+% cnf(835,plain,(e3=unit|e2=e3|~epred1_0),inference(sr,[status(thm)],[834,47,theory(equality)])).+% cnf(836,plain,(e3=unit|~epred1_0),inference(sr,[status(thm)],[835,46,theory(equality)])).+% cnf(1003,plain,(unit=e3|epred1_0|epred2_0|op(e0,e0)!=e0|op(e0,e1)!=e1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[186,39,theory(equality)]),39,theory(equality)]),593,theory(equality)])).+% cnf(1004,plain,(unit=e3|epred1_0|epred2_0|unit!=e0|op(e0,e1)!=e1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1003,39,theory(equality)]),39,theory(equality)]),593,theory(equality)])).+% cnf(1005,plain,(unit=e3|epred1_0|epred2_0|$false|op(e0,e1)!=e1),inference(rw,[status(thm)],[1004,39,theory(equality)])).+% cnf(1006,plain,(unit=e3|epred1_0|epred2_0|$false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1005,39,theory(equality)]),594,theory(equality)])).+% cnf(1007,plain,(unit=e3|epred1_0|epred2_0),inference(cn,[status(thm)],[1006,theory(equality)])).+% cnf(1008,plain,(e3=unit|epred2_0),inference(csr,[status(thm)],[1007,836])).+% cnf(1529,plain,(epred3_0|$false|op(e0,e3)!=e3|op(e1,e0)!=e1|~epred2_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[208,39,theory(equality)]),595,theory(equality)])).+% cnf(1530,plain,(epred3_0|$false|$false|op(e1,e0)!=e1|~epred2_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1529,39,theory(equality)]),599,theory(equality)])).+% cnf(1531,plain,(epred3_0|$false|$false|$false|~epred2_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1530,39,theory(equality)]),600,theory(equality)])).+% cnf(1532,plain,(epred3_0|~epred2_0),inference(cn,[status(thm)],[1531,theory(equality)])).+% cnf(1902,plain,(epred4_0|$false|op(e1,e2)!=e0|op(e1,e3)!=e2|~epred3_0),inference(rw,[status(thm)],[269,33,theory(equality)])).+% cnf(1903,plain,(epred4_0|$false|unit!=e0|op(e1,e3)!=e2|~epred3_0),inference(rw,[status(thm)],[1902,601,theory(equality)])).+% cnf(1904,plain,(epred4_0|$false|$false|op(e1,e3)!=e2|~epred3_0),inference(rw,[status(thm)],[1903,39,theory(equality)])).+% cnf(1905,plain,(epred4_0|$false|$false|$false|~epred3_0),inference(rw,[status(thm)],[1904,31,theory(equality)])).+% cnf(1906,plain,(epred4_0|~epred3_0),inference(cn,[status(thm)],[1905,theory(equality)])).+% cnf(2172,plain,(epred5_0|$false|op(e2,e1)!=e0|op(e2,e2)!=e3|~epred4_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[350,39,theory(equality)]),602,theory(equality)])).+% cnf(2173,plain,(epred5_0|$false|unit!=e0|op(e2,e2)!=e3|~epred4_0),inference(rw,[status(thm)],[2172,603,theory(equality)])).+% cnf(2174,plain,(epred5_0|$false|$false|op(e2,e2)!=e3|~epred4_0),inference(rw,[status(thm)],[2173,39,theory(equality)])).+% cnf(2175,plain,(epred5_0|$false|$false|$false|~epred4_0),inference(rw,[status(thm)],[2174,28,theory(equality)])).+% cnf(2176,plain,(epred5_0|~epred4_0),inference(cn,[status(thm)],[2175,theory(equality)])).+% cnf(2499,plain,(epred6_0|$false|op(e3,e0)!=e3|op(e3,e1)!=e2|~epred5_0),inference(rw,[status(thm)],[421,27,theory(equality)])).+% cnf(2500,plain,(epred6_0|$false|$false|op(e3,e1)!=e2|~epred5_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2499,39,theory(equality)]),604,theory(equality)])).+% cnf(2501,plain,(epred6_0|$false|$false|$false|~epred5_0),inference(rw,[status(thm)],[2500,25,theory(equality)])).+% cnf(2502,plain,(epred6_0|~epred5_0),inference(cn,[status(thm)],[2501,theory(equality)])).+% cnf(2847,plain,(epred8_0|unit!=e0|inv(e1)!=e2|inv(e2)!=e1|op(e0,inv(e0))!=unit|op(e1,inv(e1))!=unit|op(e2,inv(e2))!=unit|op(e3,inv(e3))!=unit|op(inv(e0),e0)!=unit|op(inv(e1),e1)!=unit|op(inv(e2),e2)!=unit|op(inv(e3),e3)!=unit|~epred7_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[574,39,theory(equality)]),588,theory(equality)])).+% cnf(2848,plain,(epred8_0|$false|inv(e1)!=e2|inv(e2)!=e1|op(e0,inv(e0))!=unit|op(e1,inv(e1))!=unit|op(e2,inv(e2))!=unit|op(e3,inv(e3))!=unit|op(inv(e0),e0)!=unit|op(inv(e1),e1)!=unit|op(inv(e2),e2)!=unit|op(inv(e3),e3)!=unit|~epred7_0),inference(rw,[status(thm)],[2847,39,theory(equality)])).+% cnf(2849,plain,(epred8_0|$false|$false|inv(e2)!=e1|op(e0,inv(e0))!=unit|op(e1,inv(e1))!=unit|op(e2,inv(e2))!=unit|op(e3,inv(e3))!=unit|op(inv(e0),e0)!=unit|op(inv(e1),e1)!=unit|op(inv(e2),e2)!=unit|op(inv(e3),e3)!=unit|~epred7_0),inference(rw,[status(thm)],[2848,54,theory(equality)])).+% cnf(2850,plain,(epred8_0|$false|$false|$false|op(e0,inv(e0))!=unit|op(e1,inv(e1))!=unit|op(e2,inv(e2))!=unit|op(e3,inv(e3))!=unit|op(inv(e0),e0)!=unit|op(inv(e1),e1)!=unit|op(inv(e2),e2)!=unit|op(inv(e3),e3)!=unit|~epred7_0),inference(rw,[status(thm)],[2849,53,theory(equality)])).+% cnf(2851,plain,(epred8_0|$false|$false|$false|$false|op(e1,inv(e1))!=unit|op(e2,inv(e2))!=unit|op(e3,inv(e3))!=unit|op(inv(e0),e0)!=unit|op(inv(e1),e1)!=unit|op(inv(e2),e2)!=unit|op(inv(e3),e3)!=unit|~epred7_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2850,39,theory(equality)]),39,theory(equality)]),588,theory(equality)]),593,theory(equality)])).+% cnf(2852,plain,(epred8_0|$false|$false|$false|$false|$false|op(e2,inv(e2))!=unit|op(e3,inv(e3))!=unit|op(inv(e0),e0)!=unit|op(inv(e1),e1)!=unit|op(inv(e2),e2)!=unit|op(inv(e3),e3)!=unit|~epred7_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2851,54,theory(equality)]),601,theory(equality)])).+% cnf(2853,plain,(epred8_0|$false|$false|$false|$false|$false|$false|op(e3,inv(e3))!=unit|op(inv(e0),e0)!=unit|op(inv(e1),e1)!=unit|op(inv(e2),e2)!=unit|op(inv(e3),e3)!=unit|~epred7_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2852,53,theory(equality)]),603,theory(equality)])).+% cnf(2854,plain,(epred8_0|$false|$false|$false|$false|$false|$false|$false|op(inv(e0),e0)!=unit|op(inv(e1),e1)!=unit|op(inv(e2),e2)!=unit|op(inv(e3),e3)!=unit|~epred7_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2853,52,theory(equality)]),605,theory(equality)])).+% cnf(2855,plain,(epred8_0|$false|$false|$false|$false|$false|$false|$false|$false|op(inv(e1),e1)!=unit|op(inv(e2),e2)!=unit|op(inv(e3),e3)!=unit|~epred7_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2854,39,theory(equality)]),588,theory(equality)]),39,theory(equality)]),593,theory(equality)])).+% cnf(2856,plain,(epred8_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(inv(e2),e2)!=unit|op(inv(e3),e3)!=unit|~epred7_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2855,54,theory(equality)]),603,theory(equality)])).+% cnf(2857,plain,(epred8_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(inv(e3),e3)!=unit|~epred7_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2856,53,theory(equality)]),601,theory(equality)])).+% cnf(2858,plain,(epred8_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~epred7_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2857,52,theory(equality)]),605,theory(equality)])).+% cnf(2859,plain,(epred8_0|~epred7_0),inference(cn,[status(thm)],[2858,theory(equality)])).+% cnf(2860,plain,(~epred7_0),inference(sr,[status(thm)],[2859,598,theory(equality)])).+% cnf(4224,plain,(epred7_0|$false|op(e0,unit)!=e0|op(e1,unit)!=e1|op(e2,unit)!=e2|op(e3,e2)!=e1|op(e3,e3)!=e0|op(e3,unit)!=e3|op(unit,e0)!=e0|op(unit,e1)!=e1|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[501,39,theory(equality)])).+% cnf(4225,plain,(epred7_0|$false|unit!=e0|op(e1,unit)!=e1|op(e2,unit)!=e2|op(e3,e2)!=e1|op(e3,e3)!=e0|op(e3,unit)!=e3|op(unit,e0)!=e0|op(unit,e1)!=e1|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4224,39,theory(equality)]),593,theory(equality)])).+% cnf(4226,plain,(epred7_0|$false|$false|op(e1,unit)!=e1|op(e2,unit)!=e2|op(e3,e2)!=e1|op(e3,e3)!=e0|op(e3,unit)!=e3|op(unit,e0)!=e0|op(unit,e1)!=e1|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[4225,39,theory(equality)])).+% cnf(4227,plain,(epred7_0|$false|$false|$false|op(e2,unit)!=e2|op(e3,e2)!=e1|op(e3,e3)!=e0|op(e3,unit)!=e3|op(unit,e0)!=e0|op(unit,e1)!=e1|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[4226,600,theory(equality)])).+% cnf(4228,plain,(epred7_0|$false|$false|$false|$false|op(e3,e2)!=e1|op(e3,e3)!=e0|op(e3,unit)!=e3|op(unit,e0)!=e0|op(unit,e1)!=e1|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[4227,602,theory(equality)])).+% cnf(4229,plain,(epred7_0|$false|$false|$false|$false|$false|op(e3,e3)!=e0|op(e3,unit)!=e3|op(unit,e0)!=e0|op(unit,e1)!=e1|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[4228,24,theory(equality)])).+% cnf(4230,plain,(epred7_0|$false|$false|$false|$false|$false|unit!=e0|op(e3,unit)!=e3|op(unit,e0)!=e0|op(unit,e1)!=e1|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[4229,605,theory(equality)])).+% cnf(4231,plain,(epred7_0|$false|$false|$false|$false|$false|$false|op(e3,unit)!=e3|op(unit,e0)!=e0|op(unit,e1)!=e1|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[4230,39,theory(equality)])).+% cnf(4232,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|op(unit,e0)!=e0|op(unit,e1)!=e1|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[4231,604,theory(equality)])).+% cnf(4233,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|unit!=e0|op(unit,e1)!=e1|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4232,39,theory(equality)]),593,theory(equality)])).+% cnf(4234,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|op(unit,e1)!=e1|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[4233,39,theory(equality)])).+% cnf(4235,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(unit,e2)!=e2|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[4234,594,theory(equality)])).+% cnf(4236,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(unit,e3)!=e3|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[4235,595,theory(equality)])).+% cnf(4237,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e0),e0)!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[4236,599,theory(equality)])).+% cnf(4238,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e0,op(e0,e0))|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4237,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),39,theory(equality)]),593,theory(equality)])).+% cnf(4239,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e0),e1)!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4238,39,theory(equality)]),39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),593,theory(equality)])).+% cnf(4240,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e0,op(e0,e1))|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4239,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),594,theory(equality)])).+% cnf(4241,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e0),e2)!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4240,39,theory(equality)]),39,theory(equality)]),594,theory(equality)]),594,theory(equality)])).+% cnf(4242,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e0,op(e0,e2))|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4241,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),595,theory(equality)])).+% cnf(4243,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e0),e3)!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4242,39,theory(equality)]),39,theory(equality)]),595,theory(equality)]),595,theory(equality)])).+% cnf(4244,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e0,op(e0,e3))|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4243,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),599,theory(equality)])).+% cnf(4245,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e1),e0)!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4244,39,theory(equality)]),39,theory(equality)]),599,theory(equality)]),599,theory(equality)])).+% cnf(4246,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e0,op(e1,e0))|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4245,39,theory(equality)]),594,theory(equality)]),39,theory(equality)]),600,theory(equality)])).+% cnf(4247,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e1),e1)!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4246,39,theory(equality)]),39,theory(equality)]),600,theory(equality)]),594,theory(equality)])).+% cnf(4248,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e0,op(e1,e1))|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4247,39,theory(equality)]),594,theory(equality)]),33,theory(equality)])).+% cnf(4249,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e1),e2)!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4248,39,theory(equality)]),33,theory(equality)]),599,theory(equality)])).+% cnf(4250,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e0,op(e1,e2))|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4249,39,theory(equality)]),594,theory(equality)]),601,theory(equality)])).+% cnf(4251,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e1),e3)!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4250,39,theory(equality)]),601,theory(equality)]),593,theory(equality)])).+% cnf(4252,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e0,op(e1,e3))|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4251,39,theory(equality)]),594,theory(equality)]),31,theory(equality)])).+% cnf(4253,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e2),e0)!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4252,39,theory(equality)]),31,theory(equality)]),595,theory(equality)])).+% cnf(4254,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e0,op(e2,e0))|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4253,39,theory(equality)]),595,theory(equality)]),39,theory(equality)]),602,theory(equality)])).+% cnf(4255,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e2),e1)!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4254,39,theory(equality)]),39,theory(equality)]),602,theory(equality)]),595,theory(equality)])).+% cnf(4256,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e0,op(e2,e1))|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4255,39,theory(equality)]),595,theory(equality)]),603,theory(equality)])).+% cnf(4257,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e2),e2)!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4256,39,theory(equality)]),603,theory(equality)]),593,theory(equality)])).+% cnf(4258,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e0,op(e2,e2))|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4257,39,theory(equality)]),595,theory(equality)]),28,theory(equality)])).+% cnf(4259,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e2),e3)!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4258,39,theory(equality)]),28,theory(equality)]),599,theory(equality)])).+% cnf(4260,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e0,op(e2,e3))|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4259,39,theory(equality)]),595,theory(equality)]),27,theory(equality)])).+% cnf(4261,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e3),e0)!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4260,39,theory(equality)]),27,theory(equality)]),594,theory(equality)])).+% cnf(4262,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e0,op(e3,e0))|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4261,39,theory(equality)]),599,theory(equality)]),39,theory(equality)]),604,theory(equality)])).+% cnf(4263,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e3),e1)!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4262,39,theory(equality)]),39,theory(equality)]),604,theory(equality)]),599,theory(equality)])).+% cnf(4264,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e0,op(e3,e1))|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4263,39,theory(equality)]),599,theory(equality)]),25,theory(equality)])).+% cnf(4265,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e3),e2)!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4264,39,theory(equality)]),25,theory(equality)]),595,theory(equality)])).+% cnf(4266,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e0,op(e3,e2))|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4265,39,theory(equality)]),599,theory(equality)]),24,theory(equality)])).+% cnf(4267,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e0,e3),e3)!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4266,39,theory(equality)]),24,theory(equality)]),594,theory(equality)])).+% cnf(4268,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e0,op(e3,e3))|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4267,39,theory(equality)]),599,theory(equality)]),605,theory(equality)])).+% cnf(4269,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e0),e0)!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4268,39,theory(equality)]),605,theory(equality)]),593,theory(equality)])).+% cnf(4270,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e1,op(e0,e0))|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4269,39,theory(equality)]),600,theory(equality)]),39,theory(equality)]),600,theory(equality)])).+% cnf(4271,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e0),e1)!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4270,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),600,theory(equality)])).+% cnf(4272,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e1,op(e0,e1))|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4271,39,theory(equality)]),600,theory(equality)]),33,theory(equality)])).+% cnf(4273,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e0),e2)!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4272,39,theory(equality)]),594,theory(equality)]),33,theory(equality)])).+% cnf(4274,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e1,op(e0,e2))|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4273,39,theory(equality)]),600,theory(equality)]),601,theory(equality)])).+% cnf(4275,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e0),e3)!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4274,39,theory(equality)]),595,theory(equality)]),601,theory(equality)])).+% cnf(4276,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e1,op(e0,e3))|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4275,39,theory(equality)]),600,theory(equality)]),31,theory(equality)])).+% cnf(4277,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e1),e0)!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4276,39,theory(equality)]),599,theory(equality)]),31,theory(equality)])).+% cnf(4278,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e1,op(e1,e0))|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4277,33,theory(equality)]),39,theory(equality)]),604,theory(equality)])).+% cnf(4279,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e1),e1)!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4278,39,theory(equality)]),600,theory(equality)]),33,theory(equality)])).+% cnf(4280,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e1,op(e1,e1))|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4279,33,theory(equality)]),25,theory(equality)])).+% cnf(4281,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e1),e2)!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4280,33,theory(equality)]),31,theory(equality)])).+% cnf(4282,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e1,op(e1,e2))|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4281,33,theory(equality)]),24,theory(equality)])).+% cnf(4283,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e1),e3)!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4282,601,theory(equality)]),600,theory(equality)])).+% cnf(4284,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e1,op(e1,e3))|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4283,33,theory(equality)]),605,theory(equality)])).+% cnf(4285,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e2),e0)!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4284,31,theory(equality)]),601,theory(equality)])).+% cnf(4286,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e1,op(e2,e0))|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4285,601,theory(equality)]),39,theory(equality)]),593,theory(equality)])).+% cnf(4287,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e2),e1)!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4286,39,theory(equality)]),602,theory(equality)]),601,theory(equality)])).+% cnf(4288,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e1,op(e2,e1))|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4287,601,theory(equality)]),594,theory(equality)])).+% cnf(4289,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e2),e2)!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4288,603,theory(equality)]),600,theory(equality)])).+% cnf(4290,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e1,op(e2,e2))|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4289,601,theory(equality)]),595,theory(equality)])).+% cnf(4291,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e2),e3)!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4290,28,theory(equality)]),31,theory(equality)])).+% cnf(4292,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e1,op(e2,e3))|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4291,601,theory(equality)]),599,theory(equality)])).+% cnf(4293,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e3),e0)!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4292,27,theory(equality)]),33,theory(equality)])).+% cnf(4294,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e1,op(e3,e0))|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4293,31,theory(equality)]),39,theory(equality)]),602,theory(equality)])).+% cnf(4295,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e3),e1)!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4294,39,theory(equality)]),604,theory(equality)]),31,theory(equality)])).+% cnf(4296,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e1,op(e3,e1))|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4295,31,theory(equality)]),603,theory(equality)])).+% cnf(4297,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e3),e2)!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4296,25,theory(equality)]),601,theory(equality)])).+% cnf(4298,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e1,op(e3,e2))|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4297,31,theory(equality)]),28,theory(equality)])).+% cnf(4299,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e1,e3),e3)!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4298,24,theory(equality)]),33,theory(equality)])).+% cnf(4300,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e1,op(e3,e3))|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4299,31,theory(equality)]),27,theory(equality)])).+% cnf(4301,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e0),e0)!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4300,605,theory(equality)]),600,theory(equality)])).+% cnf(4302,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e2,op(e0,e0))|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4301,39,theory(equality)]),602,theory(equality)]),39,theory(equality)]),602,theory(equality)])).+% cnf(4303,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e0),e1)!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4302,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),602,theory(equality)])).+% cnf(4304,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e2,op(e0,e1))|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4303,39,theory(equality)]),602,theory(equality)]),603,theory(equality)])).+% cnf(4305,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e0),e2)!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4304,39,theory(equality)]),594,theory(equality)]),603,theory(equality)])).+% cnf(4306,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e2,op(e0,e2))|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4305,39,theory(equality)]),602,theory(equality)]),28,theory(equality)])).+% cnf(4307,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e0),e3)!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4306,39,theory(equality)]),595,theory(equality)]),28,theory(equality)])).+% cnf(4308,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e2,op(e0,e3))|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4307,39,theory(equality)]),602,theory(equality)]),27,theory(equality)])).+% cnf(4309,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e1),e0)!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4308,39,theory(equality)]),599,theory(equality)]),27,theory(equality)])).+% cnf(4310,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e2,op(e1,e0))|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4309,603,theory(equality)]),39,theory(equality)]),593,theory(equality)])).+% cnf(4311,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e1),e1)!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4310,39,theory(equality)]),600,theory(equality)]),603,theory(equality)])).+% cnf(4312,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e2,op(e1,e1))|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4311,603,theory(equality)]),594,theory(equality)])).+% cnf(4313,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e1),e2)!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4312,33,theory(equality)]),27,theory(equality)])).+% cnf(4314,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e2,op(e1,e2))|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4313,603,theory(equality)]),595,theory(equality)])).+% cnf(4315,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e1),e3)!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4314,601,theory(equality)]),602,theory(equality)])).+% cnf(4316,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e2,op(e1,e3))|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4315,603,theory(equality)]),599,theory(equality)])).+% cnf(4317,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e2),e0)!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4316,31,theory(equality)]),28,theory(equality)])).+% cnf(4318,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e2,op(e2,e0))|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4317,28,theory(equality)]),39,theory(equality)]),604,theory(equality)])).+% cnf(4319,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e2),e1)!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4318,39,theory(equality)]),602,theory(equality)]),28,theory(equality)])).+% cnf(4320,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e2,op(e2,e1))|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4319,28,theory(equality)]),25,theory(equality)])).+% cnf(4321,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e2),e2)!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4320,603,theory(equality)]),602,theory(equality)])).+% cnf(4322,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e2,op(e2,e2))|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4321,28,theory(equality)]),24,theory(equality)])).+% cnf(4323,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e2),e3)!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4322,28,theory(equality)]),27,theory(equality)])).+% cnf(4324,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e2,op(e2,e3))|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4323,28,theory(equality)]),605,theory(equality)])).+% cnf(4325,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e3),e0)!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4324,27,theory(equality)]),603,theory(equality)])).+% cnf(4326,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e2,op(e3,e0))|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4325,27,theory(equality)]),39,theory(equality)]),600,theory(equality)])).+% cnf(4327,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e3),e1)!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4326,39,theory(equality)]),604,theory(equality)]),27,theory(equality)])).+% cnf(4328,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e2,op(e3,e1))|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4327,27,theory(equality)]),33,theory(equality)])).+% cnf(4329,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e3),e2)!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4328,25,theory(equality)]),28,theory(equality)])).+% cnf(4330,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e2,op(e3,e2))|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4329,27,theory(equality)]),601,theory(equality)])).+% cnf(4331,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e2,e3),e3)!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4330,24,theory(equality)]),603,theory(equality)])).+% cnf(4332,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e2,op(e3,e3))|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4331,27,theory(equality)]),31,theory(equality)])).+% cnf(4333,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e0),e0)!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4332,605,theory(equality)]),602,theory(equality)])).+% cnf(4334,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e3,op(e0,e0))|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4333,39,theory(equality)]),604,theory(equality)]),39,theory(equality)]),604,theory(equality)])).+% cnf(4335,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e0),e1)!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4334,39,theory(equality)]),39,theory(equality)]),593,theory(equality)]),604,theory(equality)])).+% cnf(4336,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e3,op(e0,e1))|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4335,39,theory(equality)]),604,theory(equality)]),25,theory(equality)])).+% cnf(4337,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e0),e2)!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4336,39,theory(equality)]),594,theory(equality)]),25,theory(equality)])).+% cnf(4338,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e3,op(e0,e2))|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4337,39,theory(equality)]),604,theory(equality)]),24,theory(equality)])).+% cnf(4339,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e0),e3)!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4338,39,theory(equality)]),595,theory(equality)]),24,theory(equality)])).+% cnf(4340,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e3,op(e0,e3))|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4339,39,theory(equality)]),604,theory(equality)]),605,theory(equality)])).+% cnf(4341,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e1),e0)!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4340,39,theory(equality)]),599,theory(equality)]),605,theory(equality)])).+% cnf(4342,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e3,op(e1,e0))|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4341,25,theory(equality)]),39,theory(equality)]),602,theory(equality)])).+% cnf(4343,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e1),e1)!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4342,39,theory(equality)]),600,theory(equality)]),25,theory(equality)])).+% cnf(4344,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e3,op(e1,e1))|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4343,25,theory(equality)]),603,theory(equality)])).+% cnf(4345,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e1),e2)!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4344,33,theory(equality)]),605,theory(equality)])).+% cnf(4346,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e3,op(e1,e2))|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4345,25,theory(equality)]),28,theory(equality)])).+% cnf(4347,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e1),e3)!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4346,601,theory(equality)]),604,theory(equality)])).+% cnf(4348,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e3,op(e1,e3))|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4347,25,theory(equality)]),27,theory(equality)])).+% cnf(4349,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e2),e0)!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4348,31,theory(equality)]),24,theory(equality)])).+% cnf(4350,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e3,op(e2,e0))|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4349,24,theory(equality)]),39,theory(equality)]),600,theory(equality)])).+% cnf(4351,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e2),e1)!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4350,39,theory(equality)]),602,theory(equality)]),24,theory(equality)])).+% cnf(4352,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e3,op(e2,e1))|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4351,24,theory(equality)]),33,theory(equality)])).+% cnf(4353,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e2),e2)!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4352,603,theory(equality)]),604,theory(equality)])).+% cnf(4354,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e3,op(e2,e2))|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4353,24,theory(equality)]),601,theory(equality)])).+% cnf(4355,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e2),e3)!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4354,28,theory(equality)]),605,theory(equality)])).+% cnf(4356,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e3,op(e2,e3))|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4355,24,theory(equality)]),31,theory(equality)])).+% cnf(4357,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e3),e0)!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4356,27,theory(equality)]),25,theory(equality)])).+% cnf(4358,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|unit!=op(e3,op(e3,e0))|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4357,605,theory(equality)]),39,theory(equality)]),593,theory(equality)])).+% cnf(4359,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e3),e1)!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4358,39,theory(equality)]),604,theory(equality)]),605,theory(equality)])).+% cnf(4360,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e1!=op(e3,op(e3,e1))|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4359,605,theory(equality)]),594,theory(equality)])).+% cnf(4361,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e3),e2)!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4360,25,theory(equality)]),24,theory(equality)])).+% cnf(4362,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e2!=op(e3,op(e3,e2))|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4361,605,theory(equality)]),595,theory(equality)])).+% cnf(4363,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|op(op(e3,e3),e3)!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4362,24,theory(equality)]),25,theory(equality)])).+% cnf(4364,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|e3!=op(e3,op(e3,e3))|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4363,605,theory(equality)]),599,theory(equality)])).+% cnf(4365,plain,(epred7_0|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~epred6_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4364,605,theory(equality)]),604,theory(equality)])).+% cnf(4366,plain,(epred7_0|~epred6_0),inference(cn,[status(thm)],[4365,theory(equality)])).+% cnf(4367,plain,(~epred6_0),inference(sr,[status(thm)],[4366,2860,theory(equality)])).+% cnf(12823,plain,(epred2_0),inference(sr,[status(thm)],[1008,584,theory(equality)])).+% cnf(12824,plain,(epred3_0|$false),inference(rw,[status(thm)],[1532,12823,theory(equality)])).+% cnf(12825,plain,(epred3_0),inference(cn,[status(thm)],[12824,theory(equality)])).+% cnf(12826,plain,(epred4_0|$false),inference(rw,[status(thm)],[1906,12825,theory(equality)])).+% cnf(12827,plain,(epred4_0),inference(cn,[status(thm)],[12826,theory(equality)])).+% cnf(12828,plain,(epred5_0|$false),inference(rw,[status(thm)],[2176,12827,theory(equality)])).+% cnf(12829,plain,(epred5_0),inference(cn,[status(thm)],[12828,theory(equality)])).+% cnf(12830,plain,(epred6_0|$false),inference(rw,[status(thm)],[2502,12829,theory(equality)])).+% cnf(12831,plain,(epred6_0),inference(cn,[status(thm)],[12830,theory(equality)])).+% cnf(12832,plain,($false),inference(sr,[status(thm)],[12831,4367,theory(equality)])).+% cnf(12833,plain,($false),12832,['proof']).+% # SZS output end CNFRefutation+% +%------------------------------------------------------------------------------
+ test-data/tstp/fof/ALG028+1---iProverMo---2.5-0.1.THM-CRf.s view
@@ -0,0 +1,32648 @@+%------------------------------------------------------------------------------+% File : iProverMo---2.5-0.1+% Problem : ALG028+1 : TPTP v6.4.0. Released v2.7.0.+% Transform : none+% Format : tptp:raw+% Command : iprover_modulo %s %d++% Computer : n068.star.cs.uiowa.edu+% Model : x86_64 x86_64+% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz+% Memory : 32218.625MB+% OS : Linux 3.10.0-514.6.1.el7.x86_64+% CPULimit : 300s+% DateTime : Thu Aug 17 14:52:14 EDT 2017++% Result : Theorem 0.08s+% Output : CNFRefutation 0.08s+% Verified : +% Statistics : ERROR: Analysing output (Could not find formula named input)++% Comments : +%------------------------------------------------------------------------------+%----WARNING: iProverMo---2.5-0.1 format not known, defaulting to TPTP+% Axioms transformation by autotheo+% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)+% Orienting axioms whose shape is orientable+fof(ax11,axiom,+ ( e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))+ & e1 = op(op(e4,e4),e4)+ & e2 = op(op(op(e4,e4),e4),e4)+ & e3 = op(e4,e4)+ & e5 = op(op(op(op(e4,e4),e4),e4),e4) ),+ input).++fof(ax11_0,plain,+ ( e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax11])).++fof(ax11_1,plain,+ ( e1 = op(op(e4,e4),e4)+ | $false ),+ inference(orientation,[status(thm)],[ax11])).++fof(ax11_2,plain,+ ( e2 = op(op(op(e4,e4),e4),e4)+ | $false ),+ inference(orientation,[status(thm)],[ax11])).++fof(ax11_3,plain,+ ( e3 = op(e4,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax11])).++fof(ax11_4,plain,+ ( e5 = op(op(op(op(e4,e4),e4),e4),e4)+ | $false ),+ inference(orientation,[status(thm)],[ax11])).++fof(ax10,axiom,+ ( e0 != e1+ & e0 != e2+ & e0 != e3+ & e0 != e4+ & e0 != e5+ & e1 != e2+ & e1 != e3+ & e1 != e4+ & e1 != e5+ & e2 != e3+ & e2 != e4+ & e2 != e5+ & e3 != e4+ & e3 != e5+ & e4 != e5 ),+ input).++fof(ax10_0,plain,+ ( e0 != e1+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_1,plain,+ ( e0 != e2+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_2,plain,+ ( e0 != e3+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_3,plain,+ ( e0 != e4+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_4,plain,+ ( e0 != e5+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_5,plain,+ ( e1 != e2+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_6,plain,+ ( e1 != e3+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_7,plain,+ ( e1 != e4+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_8,plain,+ ( e1 != e5+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_9,plain,+ ( e2 != e3+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_10,plain,+ ( e2 != e4+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_11,plain,+ ( e2 != e5+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_12,plain,+ ( e3 != e4+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_13,plain,+ ( e3 != e5+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax10_14,plain,+ ( e4 != e5+ | $false ),+ inference(orientation,[status(thm)],[ax10])).++fof(ax9,axiom,+ ( op(e0,e0) != op(e1,e0)+ & op(e0,e0) != op(e2,e0)+ & op(e0,e0) != op(e3,e0)+ & op(e0,e0) != op(e4,e0)+ & op(e0,e0) != op(e5,e0)+ & op(e1,e0) != op(e2,e0)+ & op(e1,e0) != op(e3,e0)+ & op(e1,e0) != op(e4,e0)+ & op(e1,e0) != op(e5,e0)+ & op(e2,e0) != op(e3,e0)+ & op(e2,e0) != op(e4,e0)+ & op(e2,e0) != op(e5,e0)+ & op(e3,e0) != op(e4,e0)+ & op(e3,e0) != op(e5,e0)+ & op(e4,e0) != op(e5,e0)+ & op(e0,e1) != op(e1,e1)+ & op(e0,e1) != op(e2,e1)+ & op(e0,e1) != op(e3,e1)+ & op(e0,e1) != op(e4,e1)+ & op(e0,e1) != op(e5,e1)+ & op(e1,e1) != op(e2,e1)+ & op(e1,e1) != op(e3,e1)+ & op(e1,e1) != op(e4,e1)+ & op(e1,e1) != op(e5,e1)+ & op(e2,e1) != op(e3,e1)+ & op(e2,e1) != op(e4,e1)+ & op(e2,e1) != op(e5,e1)+ & op(e3,e1) != op(e4,e1)+ & op(e3,e1) != op(e5,e1)+ & op(e4,e1) != op(e5,e1)+ & op(e0,e2) != op(e1,e2)+ & op(e0,e2) != op(e2,e2)+ & op(e0,e2) != op(e3,e2)+ & op(e0,e2) != op(e4,e2)+ & op(e0,e2) != op(e5,e2)+ & op(e1,e2) != op(e2,e2)+ & op(e1,e2) != op(e3,e2)+ & op(e1,e2) != op(e4,e2)+ & op(e1,e2) != op(e5,e2)+ & op(e2,e2) != op(e3,e2)+ & op(e2,e2) != op(e4,e2)+ & op(e2,e2) != op(e5,e2)+ & op(e3,e2) != op(e4,e2)+ & op(e3,e2) != op(e5,e2)+ & op(e4,e2) != op(e5,e2)+ & op(e0,e3) != op(e1,e3)+ & op(e0,e3) != op(e2,e3)+ & op(e0,e3) != op(e3,e3)+ & op(e0,e3) != op(e4,e3)+ & op(e0,e3) != op(e5,e3)+ & op(e1,e3) != op(e2,e3)+ & op(e1,e3) != op(e3,e3)+ & op(e1,e3) != op(e4,e3)+ & op(e1,e3) != op(e5,e3)+ & op(e2,e3) != op(e3,e3)+ & op(e2,e3) != op(e4,e3)+ & op(e2,e3) != op(e5,e3)+ & op(e3,e3) != op(e4,e3)+ & op(e3,e3) != op(e5,e3)+ & op(e4,e3) != op(e5,e3)+ & op(e0,e4) != op(e1,e4)+ & op(e0,e4) != op(e2,e4)+ & op(e0,e4) != op(e3,e4)+ & op(e0,e4) != op(e4,e4)+ & op(e0,e4) != op(e5,e4)+ & op(e1,e4) != op(e2,e4)+ & op(e1,e4) != op(e3,e4)+ & op(e1,e4) != op(e4,e4)+ & op(e1,e4) != op(e5,e4)+ & op(e2,e4) != op(e3,e4)+ & op(e2,e4) != op(e4,e4)+ & op(e2,e4) != op(e5,e4)+ & op(e3,e4) != op(e4,e4)+ & op(e3,e4) != op(e5,e4)+ & op(e4,e4) != op(e5,e4)+ & op(e0,e5) != op(e1,e5)+ & op(e0,e5) != op(e2,e5)+ & op(e0,e5) != op(e3,e5)+ & op(e0,e5) != op(e4,e5)+ & op(e0,e5) != op(e5,e5)+ & op(e1,e5) != op(e2,e5)+ & op(e1,e5) != op(e3,e5)+ & op(e1,e5) != op(e4,e5)+ & op(e1,e5) != op(e5,e5)+ & op(e2,e5) != op(e3,e5)+ & op(e2,e5) != op(e4,e5)+ & op(e2,e5) != op(e5,e5)+ & op(e3,e5) != op(e4,e5)+ & op(e3,e5) != op(e5,e5)+ & op(e4,e5) != op(e5,e5)+ & op(e0,e0) != op(e0,e1)+ & op(e0,e0) != op(e0,e2)+ & op(e0,e0) != op(e0,e3)+ & op(e0,e0) != op(e0,e4)+ & op(e0,e0) != op(e0,e5)+ & op(e0,e1) != op(e0,e2)+ & op(e0,e1) != op(e0,e3)+ & op(e0,e1) != op(e0,e4)+ & op(e0,e1) != op(e0,e5)+ & op(e0,e2) != op(e0,e3)+ & op(e0,e2) != op(e0,e4)+ & op(e0,e2) != op(e0,e5)+ & op(e0,e3) != op(e0,e4)+ & op(e0,e3) != op(e0,e5)+ & op(e0,e4) != op(e0,e5)+ & op(e1,e0) != op(e1,e1)+ & op(e1,e0) != op(e1,e2)+ & op(e1,e0) != op(e1,e3)+ & op(e1,e0) != op(e1,e4)+ & op(e1,e0) != op(e1,e5)+ & op(e1,e1) != op(e1,e2)+ & op(e1,e1) != op(e1,e3)+ & op(e1,e1) != op(e1,e4)+ & op(e1,e1) != op(e1,e5)+ & op(e1,e2) != op(e1,e3)+ & op(e1,e2) != op(e1,e4)+ & op(e1,e2) != op(e1,e5)+ & op(e1,e3) != op(e1,e4)+ & op(e1,e3) != op(e1,e5)+ & op(e1,e4) != op(e1,e5)+ & op(e2,e0) != op(e2,e1)+ & op(e2,e0) != op(e2,e2)+ & op(e2,e0) != op(e2,e3)+ & op(e2,e0) != op(e2,e4)+ & op(e2,e0) != op(e2,e5)+ & op(e2,e1) != op(e2,e2)+ & op(e2,e1) != op(e2,e3)+ & op(e2,e1) != op(e2,e4)+ & op(e2,e1) != op(e2,e5)+ & op(e2,e2) != op(e2,e3)+ & op(e2,e2) != op(e2,e4)+ & op(e2,e2) != op(e2,e5)+ & op(e2,e3) != op(e2,e4)+ & op(e2,e3) != op(e2,e5)+ & op(e2,e4) != op(e2,e5)+ & op(e3,e0) != op(e3,e1)+ & op(e3,e0) != op(e3,e2)+ & op(e3,e0) != op(e3,e3)+ & op(e3,e0) != op(e3,e4)+ & op(e3,e0) != op(e3,e5)+ & op(e3,e1) != op(e3,e2)+ & op(e3,e1) != op(e3,e3)+ & op(e3,e1) != op(e3,e4)+ & op(e3,e1) != op(e3,e5)+ & op(e3,e2) != op(e3,e3)+ & op(e3,e2) != op(e3,e4)+ & op(e3,e2) != op(e3,e5)+ & op(e3,e3) != op(e3,e4)+ & op(e3,e3) != op(e3,e5)+ & op(e3,e4) != op(e3,e5)+ & op(e4,e0) != op(e4,e1)+ & op(e4,e0) != op(e4,e2)+ & op(e4,e0) != op(e4,e3)+ & op(e4,e0) != op(e4,e4)+ & op(e4,e0) != op(e4,e5)+ & op(e4,e1) != op(e4,e2)+ & op(e4,e1) != op(e4,e3)+ & op(e4,e1) != op(e4,e4)+ & op(e4,e1) != op(e4,e5)+ & op(e4,e2) != op(e4,e3)+ & op(e4,e2) != op(e4,e4)+ & op(e4,e2) != op(e4,e5)+ & op(e4,e3) != op(e4,e4)+ & op(e4,e3) != op(e4,e5)+ & op(e4,e4) != op(e4,e5)+ & op(e5,e0) != op(e5,e1)+ & op(e5,e0) != op(e5,e2)+ & op(e5,e0) != op(e5,e3)+ & op(e5,e0) != op(e5,e4)+ & op(e5,e0) != op(e5,e5)+ & op(e5,e1) != op(e5,e2)+ & op(e5,e1) != op(e5,e3)+ & op(e5,e1) != op(e5,e4)+ & op(e5,e1) != op(e5,e5)+ & op(e5,e2) != op(e5,e3)+ & op(e5,e2) != op(e5,e4)+ & op(e5,e2) != op(e5,e5)+ & op(e5,e3) != op(e5,e4)+ & op(e5,e3) != op(e5,e5)+ & op(e5,e4) != op(e5,e5) ),+ input).++fof(ax9_0,plain,+ ( op(e0,e0) != op(e1,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_1,plain,+ ( op(e0,e0) != op(e2,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_2,plain,+ ( op(e0,e0) != op(e3,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_3,plain,+ ( op(e0,e0) != op(e4,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_4,plain,+ ( op(e0,e0) != op(e5,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_5,plain,+ ( op(e1,e0) != op(e2,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_6,plain,+ ( op(e1,e0) != op(e3,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_7,plain,+ ( op(e1,e0) != op(e4,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_8,plain,+ ( op(e1,e0) != op(e5,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_9,plain,+ ( op(e2,e0) != op(e3,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_10,plain,+ ( op(e2,e0) != op(e4,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_11,plain,+ ( op(e2,e0) != op(e5,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_12,plain,+ ( op(e3,e0) != op(e4,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_13,plain,+ ( op(e3,e0) != op(e5,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_14,plain,+ ( op(e4,e0) != op(e5,e0)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_15,plain,+ ( op(e0,e1) != op(e1,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_16,plain,+ ( op(e0,e1) != op(e2,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_17,plain,+ ( op(e0,e1) != op(e3,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_18,plain,+ ( op(e0,e1) != op(e4,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_19,plain,+ ( op(e0,e1) != op(e5,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_20,plain,+ ( op(e1,e1) != op(e2,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_21,plain,+ ( op(e1,e1) != op(e3,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_22,plain,+ ( op(e1,e1) != op(e4,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_23,plain,+ ( op(e1,e1) != op(e5,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_24,plain,+ ( op(e2,e1) != op(e3,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_25,plain,+ ( op(e2,e1) != op(e4,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_26,plain,+ ( op(e2,e1) != op(e5,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_27,plain,+ ( op(e3,e1) != op(e4,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_28,plain,+ ( op(e3,e1) != op(e5,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_29,plain,+ ( op(e4,e1) != op(e5,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_30,plain,+ ( op(e0,e2) != op(e1,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_31,plain,+ ( op(e0,e2) != op(e2,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_32,plain,+ ( op(e0,e2) != op(e3,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_33,plain,+ ( op(e0,e2) != op(e4,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_34,plain,+ ( op(e0,e2) != op(e5,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_35,plain,+ ( op(e1,e2) != op(e2,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_36,plain,+ ( op(e1,e2) != op(e3,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_37,plain,+ ( op(e1,e2) != op(e4,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_38,plain,+ ( op(e1,e2) != op(e5,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_39,plain,+ ( op(e2,e2) != op(e3,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_40,plain,+ ( op(e2,e2) != op(e4,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_41,plain,+ ( op(e2,e2) != op(e5,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_42,plain,+ ( op(e3,e2) != op(e4,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_43,plain,+ ( op(e3,e2) != op(e5,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_44,plain,+ ( op(e4,e2) != op(e5,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_45,plain,+ ( op(e0,e3) != op(e1,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_46,plain,+ ( op(e0,e3) != op(e2,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_47,plain,+ ( op(e0,e3) != op(e3,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_48,plain,+ ( op(e0,e3) != op(e4,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_49,plain,+ ( op(e0,e3) != op(e5,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_50,plain,+ ( op(e1,e3) != op(e2,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_51,plain,+ ( op(e1,e3) != op(e3,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_52,plain,+ ( op(e1,e3) != op(e4,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_53,plain,+ ( op(e1,e3) != op(e5,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_54,plain,+ ( op(e2,e3) != op(e3,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_55,plain,+ ( op(e2,e3) != op(e4,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_56,plain,+ ( op(e2,e3) != op(e5,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_57,plain,+ ( op(e3,e3) != op(e4,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_58,plain,+ ( op(e3,e3) != op(e5,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_59,plain,+ ( op(e4,e3) != op(e5,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_60,plain,+ ( op(e0,e4) != op(e1,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_61,plain,+ ( op(e0,e4) != op(e2,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_62,plain,+ ( op(e0,e4) != op(e3,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_63,plain,+ ( op(e0,e4) != op(e4,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_64,plain,+ ( op(e0,e4) != op(e5,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_65,plain,+ ( op(e1,e4) != op(e2,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_66,plain,+ ( op(e1,e4) != op(e3,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_67,plain,+ ( op(e1,e4) != op(e4,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_68,plain,+ ( op(e1,e4) != op(e5,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_69,plain,+ ( op(e2,e4) != op(e3,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_70,plain,+ ( op(e2,e4) != op(e4,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_71,plain,+ ( op(e2,e4) != op(e5,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_72,plain,+ ( op(e3,e4) != op(e4,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_73,plain,+ ( op(e3,e4) != op(e5,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_74,plain,+ ( op(e4,e4) != op(e5,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_75,plain,+ ( op(e0,e5) != op(e1,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_76,plain,+ ( op(e0,e5) != op(e2,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_77,plain,+ ( op(e0,e5) != op(e3,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_78,plain,+ ( op(e0,e5) != op(e4,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_79,plain,+ ( op(e0,e5) != op(e5,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_80,plain,+ ( op(e1,e5) != op(e2,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_81,plain,+ ( op(e1,e5) != op(e3,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_82,plain,+ ( op(e1,e5) != op(e4,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_83,plain,+ ( op(e1,e5) != op(e5,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_84,plain,+ ( op(e2,e5) != op(e3,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_85,plain,+ ( op(e2,e5) != op(e4,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_86,plain,+ ( op(e2,e5) != op(e5,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_87,plain,+ ( op(e3,e5) != op(e4,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_88,plain,+ ( op(e3,e5) != op(e5,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_89,plain,+ ( op(e4,e5) != op(e5,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_90,plain,+ ( op(e0,e0) != op(e0,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_91,plain,+ ( op(e0,e0) != op(e0,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_92,plain,+ ( op(e0,e0) != op(e0,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_93,plain,+ ( op(e0,e0) != op(e0,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_94,plain,+ ( op(e0,e0) != op(e0,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_95,plain,+ ( op(e0,e1) != op(e0,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_96,plain,+ ( op(e0,e1) != op(e0,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_97,plain,+ ( op(e0,e1) != op(e0,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_98,plain,+ ( op(e0,e1) != op(e0,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_99,plain,+ ( op(e0,e2) != op(e0,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_100,plain,+ ( op(e0,e2) != op(e0,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_101,plain,+ ( op(e0,e2) != op(e0,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_102,plain,+ ( op(e0,e3) != op(e0,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_103,plain,+ ( op(e0,e3) != op(e0,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_104,plain,+ ( op(e0,e4) != op(e0,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_105,plain,+ ( op(e1,e0) != op(e1,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_106,plain,+ ( op(e1,e0) != op(e1,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_107,plain,+ ( op(e1,e0) != op(e1,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_108,plain,+ ( op(e1,e0) != op(e1,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_109,plain,+ ( op(e1,e0) != op(e1,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_110,plain,+ ( op(e1,e1) != op(e1,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_111,plain,+ ( op(e1,e1) != op(e1,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_112,plain,+ ( op(e1,e1) != op(e1,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_113,plain,+ ( op(e1,e1) != op(e1,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_114,plain,+ ( op(e1,e2) != op(e1,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_115,plain,+ ( op(e1,e2) != op(e1,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_116,plain,+ ( op(e1,e2) != op(e1,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_117,plain,+ ( op(e1,e3) != op(e1,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_118,plain,+ ( op(e1,e3) != op(e1,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_119,plain,+ ( op(e1,e4) != op(e1,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_120,plain,+ ( op(e2,e0) != op(e2,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_121,plain,+ ( op(e2,e0) != op(e2,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_122,plain,+ ( op(e2,e0) != op(e2,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_123,plain,+ ( op(e2,e0) != op(e2,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_124,plain,+ ( op(e2,e0) != op(e2,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_125,plain,+ ( op(e2,e1) != op(e2,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_126,plain,+ ( op(e2,e1) != op(e2,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_127,plain,+ ( op(e2,e1) != op(e2,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_128,plain,+ ( op(e2,e1) != op(e2,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_129,plain,+ ( op(e2,e2) != op(e2,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_130,plain,+ ( op(e2,e2) != op(e2,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_131,plain,+ ( op(e2,e2) != op(e2,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_132,plain,+ ( op(e2,e3) != op(e2,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_133,plain,+ ( op(e2,e3) != op(e2,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_134,plain,+ ( op(e2,e4) != op(e2,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_135,plain,+ ( op(e3,e0) != op(e3,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_136,plain,+ ( op(e3,e0) != op(e3,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_137,plain,+ ( op(e3,e0) != op(e3,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_138,plain,+ ( op(e3,e0) != op(e3,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_139,plain,+ ( op(e3,e0) != op(e3,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_140,plain,+ ( op(e3,e1) != op(e3,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_141,plain,+ ( op(e3,e1) != op(e3,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_142,plain,+ ( op(e3,e1) != op(e3,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_143,plain,+ ( op(e3,e1) != op(e3,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_144,plain,+ ( op(e3,e2) != op(e3,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_145,plain,+ ( op(e3,e2) != op(e3,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_146,plain,+ ( op(e3,e2) != op(e3,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_147,plain,+ ( op(e3,e3) != op(e3,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_148,plain,+ ( op(e3,e3) != op(e3,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_149,plain,+ ( op(e3,e4) != op(e3,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_150,plain,+ ( op(e4,e0) != op(e4,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_151,plain,+ ( op(e4,e0) != op(e4,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_152,plain,+ ( op(e4,e0) != op(e4,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_153,plain,+ ( op(e4,e0) != op(e4,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_154,plain,+ ( op(e4,e0) != op(e4,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_155,plain,+ ( op(e4,e1) != op(e4,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_156,plain,+ ( op(e4,e1) != op(e4,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_157,plain,+ ( op(e4,e1) != op(e4,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_158,plain,+ ( op(e4,e1) != op(e4,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_159,plain,+ ( op(e4,e2) != op(e4,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_160,plain,+ ( op(e4,e2) != op(e4,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_161,plain,+ ( op(e4,e2) != op(e4,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_162,plain,+ ( op(e4,e3) != op(e4,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_163,plain,+ ( op(e4,e3) != op(e4,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_164,plain,+ ( op(e4,e4) != op(e4,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_165,plain,+ ( op(e5,e0) != op(e5,e1)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_166,plain,+ ( op(e5,e0) != op(e5,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_167,plain,+ ( op(e5,e0) != op(e5,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_168,plain,+ ( op(e5,e0) != op(e5,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_169,plain,+ ( op(e5,e0) != op(e5,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_170,plain,+ ( op(e5,e1) != op(e5,e2)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_171,plain,+ ( op(e5,e1) != op(e5,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_172,plain,+ ( op(e5,e1) != op(e5,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_173,plain,+ ( op(e5,e1) != op(e5,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_174,plain,+ ( op(e5,e2) != op(e5,e3)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_175,plain,+ ( op(e5,e2) != op(e5,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_176,plain,+ ( op(e5,e2) != op(e5,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_177,plain,+ ( op(e5,e3) != op(e5,e4)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_178,plain,+ ( op(e5,e3) != op(e5,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax9_179,plain,+ ( op(e5,e4) != op(e5,e5)+ | $false ),+ inference(orientation,[status(thm)],[ax9])).++fof(ax8,axiom,+ ( inv(e0) != inv(e1)+ & inv(e0) != inv(e2)+ & inv(e0) != inv(e3)+ & inv(e0) != inv(e4)+ & inv(e0) != inv(e5)+ & inv(e1) != inv(e2)+ & inv(e1) != inv(e3)+ & inv(e1) != inv(e4)+ & inv(e1) != inv(e5)+ & inv(e2) != inv(e3)+ & inv(e2) != inv(e4)+ & inv(e2) != inv(e5)+ & inv(e3) != inv(e4)+ & inv(e3) != inv(e5)+ & inv(e4) != inv(e5) ),+ input).++fof(ax8_0,plain,+ ( inv(e0) != inv(e1)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_1,plain,+ ( inv(e0) != inv(e2)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_2,plain,+ ( inv(e0) != inv(e3)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_3,plain,+ ( inv(e0) != inv(e4)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_4,plain,+ ( inv(e0) != inv(e5)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_5,plain,+ ( inv(e1) != inv(e2)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_6,plain,+ ( inv(e1) != inv(e3)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_7,plain,+ ( inv(e1) != inv(e4)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_8,plain,+ ( inv(e1) != inv(e5)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_9,plain,+ ( inv(e2) != inv(e3)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_10,plain,+ ( inv(e2) != inv(e4)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_11,plain,+ ( inv(e2) != inv(e5)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_12,plain,+ ( inv(e3) != inv(e4)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_13,plain,+ ( inv(e3) != inv(e5)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax8_14,plain,+ ( inv(e4) != inv(e5)+ | $false ),+ inference(orientation,[status(thm)],[ax8])).++fof(ax7,axiom,+ ( ( inv(e0) = e0+ => inv(e0) = e0 )+ & ( inv(e0) = e1+ => inv(e1) = e0 )+ & ( inv(e0) = e2+ => inv(e2) = e0 )+ & ( inv(e0) = e3+ => inv(e3) = e0 )+ & ( inv(e0) = e4+ => inv(e4) = e0 )+ & ( inv(e0) = e5+ => inv(e5) = e0 )+ & ( inv(e1) = e0+ => inv(e0) = e1 )+ & ( inv(e1) = e1+ => inv(e1) = e1 )+ & ( inv(e1) = e2+ => inv(e2) = e1 )+ & ( inv(e1) = e3+ => inv(e3) = e1 )+ & ( inv(e1) = e4+ => inv(e4) = e1 )+ & ( inv(e1) = e5+ => inv(e5) = e1 )+ & ( inv(e2) = e0+ => inv(e0) = e2 )+ & ( inv(e2) = e1+ => inv(e1) = e2 )+ & ( inv(e2) = e2+ => inv(e2) = e2 )+ & ( inv(e2) = e3+ => inv(e3) = e2 )+ & ( inv(e2) = e4+ => inv(e4) = e2 )+ & ( inv(e2) = e5+ => inv(e5) = e2 )+ & ( inv(e3) = e0+ => inv(e0) = e3 )+ & ( inv(e3) = e1+ => inv(e1) = e3 )+ & ( inv(e3) = e2+ => inv(e2) = e3 )+ & ( inv(e3) = e3+ => inv(e3) = e3 )+ & ( inv(e3) = e4+ => inv(e4) = e3 )+ & ( inv(e3) = e5+ => inv(e5) = e3 )+ & ( inv(e4) = e0+ => inv(e0) = e4 )+ & ( inv(e4) = e1+ => inv(e1) = e4 )+ & ( inv(e4) = e2+ => inv(e2) = e4 )+ & ( inv(e4) = e3+ => inv(e3) = e4 )+ & ( inv(e4) = e4+ => inv(e4) = e4 )+ & ( inv(e4) = e5+ => inv(e5) = e4 )+ & ( inv(e5) = e0+ => inv(e0) = e5 )+ & ( inv(e5) = e1+ => inv(e1) = e5 )+ & ( inv(e5) = e2+ => inv(e2) = e5 )+ & ( inv(e5) = e3+ => inv(e3) = e5 )+ & ( inv(e5) = e4+ => inv(e4) = e5 )+ & ( inv(e5) = e5+ => inv(e5) = e5 ) ),+ input).++fof(ax7_0,plain,+ ( inv(e0) != e0+ | inv(e0) = e0 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_1,plain,+ ( inv(e0) != e1+ | inv(e1) = e0 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_2,plain,+ ( inv(e0) != e2+ | inv(e2) = e0 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_3,plain,+ ( inv(e0) != e3+ | inv(e3) = e0 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_4,plain,+ ( inv(e0) != e4+ | inv(e4) = e0 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_5,plain,+ ( inv(e0) != e5+ | inv(e5) = e0 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_6,plain,+ ( inv(e1) != e0+ | inv(e0) = e1 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_7,plain,+ ( inv(e1) != e1+ | inv(e1) = e1 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_8,plain,+ ( inv(e1) != e2+ | inv(e2) = e1 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_9,plain,+ ( inv(e1) != e3+ | inv(e3) = e1 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_10,plain,+ ( inv(e1) != e4+ | inv(e4) = e1 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_11,plain,+ ( inv(e1) != e5+ | inv(e5) = e1 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_12,plain,+ ( inv(e2) != e0+ | inv(e0) = e2 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_13,plain,+ ( inv(e2) != e1+ | inv(e1) = e2 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_14,plain,+ ( inv(e2) != e2+ | inv(e2) = e2 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_15,plain,+ ( inv(e2) != e3+ | inv(e3) = e2 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_16,plain,+ ( inv(e2) != e4+ | inv(e4) = e2 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_17,plain,+ ( inv(e2) != e5+ | inv(e5) = e2 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_18,plain,+ ( inv(e3) != e0+ | inv(e0) = e3 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_19,plain,+ ( inv(e3) != e1+ | inv(e1) = e3 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_20,plain,+ ( inv(e3) != e2+ | inv(e2) = e3 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_21,plain,+ ( inv(e3) != e3+ | inv(e3) = e3 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_22,plain,+ ( inv(e3) != e4+ | inv(e4) = e3 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_23,plain,+ ( inv(e3) != e5+ | inv(e5) = e3 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_24,plain,+ ( inv(e4) != e0+ | inv(e0) = e4 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_25,plain,+ ( inv(e4) != e1+ | inv(e1) = e4 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_26,plain,+ ( inv(e4) != e2+ | inv(e2) = e4 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_27,plain,+ ( inv(e4) != e3+ | inv(e3) = e4 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_28,plain,+ ( inv(e4) != e4+ | inv(e4) = e4 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_29,plain,+ ( inv(e4) != e5+ | inv(e5) = e4 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_30,plain,+ ( inv(e5) != e0+ | inv(e0) = e5 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_31,plain,+ ( inv(e5) != e1+ | inv(e1) = e5 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_32,plain,+ ( inv(e5) != e2+ | inv(e2) = e5 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_33,plain,+ ( inv(e5) != e3+ | inv(e3) = e5 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_34,plain,+ ( inv(e5) != e4+ | inv(e4) = e5 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax7_35,plain,+ ( inv(e5) != e5+ | inv(e5) = e5 ),+ inference(orientation,[status(thm)],[ax7])).++fof(ax6,axiom,+ ( inv(inv(e0)) = e0+ & inv(inv(e1)) = e1+ & inv(inv(e2)) = e2+ & inv(inv(e3)) = e3+ & inv(inv(e4)) = e4+ & inv(inv(e5)) = e5 ),+ input).++fof(ax6_0,plain,+ ( inv(inv(e0)) = e0+ | $false ),+ inference(orientation,[status(thm)],[ax6])).++fof(ax6_1,plain,+ ( inv(inv(e1)) = e1+ | $false ),+ inference(orientation,[status(thm)],[ax6])).++fof(ax6_2,plain,+ ( inv(inv(e2)) = e2+ | $false ),+ inference(orientation,[status(thm)],[ax6])).++fof(ax6_3,plain,+ ( inv(inv(e3)) = e3+ | $false ),+ inference(orientation,[status(thm)],[ax6])).++fof(ax6_4,plain,+ ( inv(inv(e4)) = e4+ | $false ),+ inference(orientation,[status(thm)],[ax6])).++fof(ax6_5,plain,+ ( inv(inv(e5)) = e5+ | $false ),+ inference(orientation,[status(thm)],[ax6])).++fof(ax5,axiom,(+ inv(unit) = unit ),+ input).++fof(ax5_0,plain,+ ( inv(unit) = unit+ | $false ),+ inference(orientation,[status(thm)],[ax5])).++fof(ax2,axiom,+ ( op(op(e0,e0),e0) = op(e0,op(e0,e0))+ & op(op(e0,e0),e1) = op(e0,op(e0,e1))+ & op(op(e0,e0),e2) = op(e0,op(e0,e2))+ & op(op(e0,e0),e3) = op(e0,op(e0,e3))+ & op(op(e0,e0),e4) = op(e0,op(e0,e4))+ & op(op(e0,e0),e5) = op(e0,op(e0,e5))+ & op(op(e0,e1),e0) = op(e0,op(e1,e0))+ & op(op(e0,e1),e1) = op(e0,op(e1,e1))+ & op(op(e0,e1),e2) = op(e0,op(e1,e2))+ & op(op(e0,e1),e3) = op(e0,op(e1,e3))+ & op(op(e0,e1),e4) = op(e0,op(e1,e4))+ & op(op(e0,e1),e5) = op(e0,op(e1,e5))+ & op(op(e0,e2),e0) = op(e0,op(e2,e0))+ & op(op(e0,e2),e1) = op(e0,op(e2,e1))+ & op(op(e0,e2),e2) = op(e0,op(e2,e2))+ & op(op(e0,e2),e3) = op(e0,op(e2,e3))+ & op(op(e0,e2),e4) = op(e0,op(e2,e4))+ & op(op(e0,e2),e5) = op(e0,op(e2,e5))+ & op(op(e0,e3),e0) = op(e0,op(e3,e0))+ & op(op(e0,e3),e1) = op(e0,op(e3,e1))+ & op(op(e0,e3),e2) = op(e0,op(e3,e2))+ & op(op(e0,e3),e3) = op(e0,op(e3,e3))+ & op(op(e0,e3),e4) = op(e0,op(e3,e4))+ & op(op(e0,e3),e5) = op(e0,op(e3,e5))+ & op(op(e0,e4),e0) = op(e0,op(e4,e0))+ & op(op(e0,e4),e1) = op(e0,op(e4,e1))+ & op(op(e0,e4),e2) = op(e0,op(e4,e2))+ & op(op(e0,e4),e3) = op(e0,op(e4,e3))+ & op(op(e0,e4),e4) = op(e0,op(e4,e4))+ & op(op(e0,e4),e5) = op(e0,op(e4,e5))+ & op(op(e0,e5),e0) = op(e0,op(e5,e0))+ & op(op(e0,e5),e1) = op(e0,op(e5,e1))+ & op(op(e0,e5),e2) = op(e0,op(e5,e2))+ & op(op(e0,e5),e3) = op(e0,op(e5,e3))+ & op(op(e0,e5),e4) = op(e0,op(e5,e4))+ & op(op(e0,e5),e5) = op(e0,op(e5,e5))+ & op(op(e1,e0),e0) = op(e1,op(e0,e0))+ & op(op(e1,e0),e1) = op(e1,op(e0,e1))+ & op(op(e1,e0),e2) = op(e1,op(e0,e2))+ & op(op(e1,e0),e3) = op(e1,op(e0,e3))+ & op(op(e1,e0),e4) = op(e1,op(e0,e4))+ & op(op(e1,e0),e5) = op(e1,op(e0,e5))+ & op(op(e1,e1),e0) = op(e1,op(e1,e0))+ & op(op(e1,e1),e1) = op(e1,op(e1,e1))+ & op(op(e1,e1),e2) = op(e1,op(e1,e2))+ & op(op(e1,e1),e3) = op(e1,op(e1,e3))+ & op(op(e1,e1),e4) = op(e1,op(e1,e4))+ & op(op(e1,e1),e5) = op(e1,op(e1,e5))+ & op(op(e1,e2),e0) = op(e1,op(e2,e0))+ & op(op(e1,e2),e1) = op(e1,op(e2,e1))+ & op(op(e1,e2),e2) = op(e1,op(e2,e2))+ & op(op(e1,e2),e3) = op(e1,op(e2,e3))+ & op(op(e1,e2),e4) = op(e1,op(e2,e4))+ & op(op(e1,e2),e5) = op(e1,op(e2,e5))+ & op(op(e1,e3),e0) = op(e1,op(e3,e0))+ & op(op(e1,e3),e1) = op(e1,op(e3,e1))+ & op(op(e1,e3),e2) = op(e1,op(e3,e2))+ & op(op(e1,e3),e3) = op(e1,op(e3,e3))+ & op(op(e1,e3),e4) = op(e1,op(e3,e4))+ & op(op(e1,e3),e5) = op(e1,op(e3,e5))+ & op(op(e1,e4),e0) = op(e1,op(e4,e0))+ & op(op(e1,e4),e1) = op(e1,op(e4,e1))+ & op(op(e1,e4),e2) = op(e1,op(e4,e2))+ & op(op(e1,e4),e3) = op(e1,op(e4,e3))+ & op(op(e1,e4),e4) = op(e1,op(e4,e4))+ & op(op(e1,e4),e5) = op(e1,op(e4,e5))+ & op(op(e1,e5),e0) = op(e1,op(e5,e0))+ & op(op(e1,e5),e1) = op(e1,op(e5,e1))+ & op(op(e1,e5),e2) = op(e1,op(e5,e2))+ & op(op(e1,e5),e3) = op(e1,op(e5,e3))+ & op(op(e1,e5),e4) = op(e1,op(e5,e4))+ & op(op(e1,e5),e5) = op(e1,op(e5,e5))+ & op(op(e2,e0),e0) = op(e2,op(e0,e0))+ & op(op(e2,e0),e1) = op(e2,op(e0,e1))+ & op(op(e2,e0),e2) = op(e2,op(e0,e2))+ & op(op(e2,e0),e3) = op(e2,op(e0,e3))+ & op(op(e2,e0),e4) = op(e2,op(e0,e4))+ & op(op(e2,e0),e5) = op(e2,op(e0,e5))+ & op(op(e2,e1),e0) = op(e2,op(e1,e0))+ & op(op(e2,e1),e1) = op(e2,op(e1,e1))+ & op(op(e2,e1),e2) = op(e2,op(e1,e2))+ & op(op(e2,e1),e3) = op(e2,op(e1,e3))+ & op(op(e2,e1),e4) = op(e2,op(e1,e4))+ & op(op(e2,e1),e5) = op(e2,op(e1,e5))+ & op(op(e2,e2),e0) = op(e2,op(e2,e0))+ & op(op(e2,e2),e1) = op(e2,op(e2,e1))+ & op(op(e2,e2),e2) = op(e2,op(e2,e2))+ & op(op(e2,e2),e3) = op(e2,op(e2,e3))+ & op(op(e2,e2),e4) = op(e2,op(e2,e4))+ & op(op(e2,e2),e5) = op(e2,op(e2,e5))+ & op(op(e2,e3),e0) = op(e2,op(e3,e0))+ & op(op(e2,e3),e1) = op(e2,op(e3,e1))+ & op(op(e2,e3),e2) = op(e2,op(e3,e2))+ & op(op(e2,e3),e3) = op(e2,op(e3,e3))+ & op(op(e2,e3),e4) = op(e2,op(e3,e4))+ & op(op(e2,e3),e5) = op(e2,op(e3,e5))+ & op(op(e2,e4),e0) = op(e2,op(e4,e0))+ & op(op(e2,e4),e1) = op(e2,op(e4,e1))+ & op(op(e2,e4),e2) = op(e2,op(e4,e2))+ & op(op(e2,e4),e3) = op(e2,op(e4,e3))+ & op(op(e2,e4),e4) = op(e2,op(e4,e4))+ & op(op(e2,e4),e5) = op(e2,op(e4,e5))+ & op(op(e2,e5),e0) = op(e2,op(e5,e0))+ & op(op(e2,e5),e1) = op(e2,op(e5,e1))+ & op(op(e2,e5),e2) = op(e2,op(e5,e2))+ & op(op(e2,e5),e3) = op(e2,op(e5,e3))+ & op(op(e2,e5),e4) = op(e2,op(e5,e4))+ & op(op(e2,e5),e5) = op(e2,op(e5,e5))+ & op(op(e3,e0),e0) = op(e3,op(e0,e0))+ & op(op(e3,e0),e1) = op(e3,op(e0,e1))+ & op(op(e3,e0),e2) = op(e3,op(e0,e2))+ & op(op(e3,e0),e3) = op(e3,op(e0,e3))+ & op(op(e3,e0),e4) = op(e3,op(e0,e4))+ & op(op(e3,e0),e5) = op(e3,op(e0,e5))+ & op(op(e3,e1),e0) = op(e3,op(e1,e0))+ & op(op(e3,e1),e1) = op(e3,op(e1,e1))+ & op(op(e3,e1),e2) = op(e3,op(e1,e2))+ & op(op(e3,e1),e3) = op(e3,op(e1,e3))+ & op(op(e3,e1),e4) = op(e3,op(e1,e4))+ & op(op(e3,e1),e5) = op(e3,op(e1,e5))+ & op(op(e3,e2),e0) = op(e3,op(e2,e0))+ & op(op(e3,e2),e1) = op(e3,op(e2,e1))+ & op(op(e3,e2),e2) = op(e3,op(e2,e2))+ & op(op(e3,e2),e3) = op(e3,op(e2,e3))+ & op(op(e3,e2),e4) = op(e3,op(e2,e4))+ & op(op(e3,e2),e5) = op(e3,op(e2,e5))+ & op(op(e3,e3),e0) = op(e3,op(e3,e0))+ & op(op(e3,e3),e1) = op(e3,op(e3,e1))+ & op(op(e3,e3),e2) = op(e3,op(e3,e2))+ & op(op(e3,e3),e3) = op(e3,op(e3,e3))+ & op(op(e3,e3),e4) = op(e3,op(e3,e4))+ & op(op(e3,e3),e5) = op(e3,op(e3,e5))+ & op(op(e3,e4),e0) = op(e3,op(e4,e0))+ & op(op(e3,e4),e1) = op(e3,op(e4,e1))+ & op(op(e3,e4),e2) = op(e3,op(e4,e2))+ & op(op(e3,e4),e3) = op(e3,op(e4,e3))+ & op(op(e3,e4),e4) = op(e3,op(e4,e4))+ & op(op(e3,e4),e5) = op(e3,op(e4,e5))+ & op(op(e3,e5),e0) = op(e3,op(e5,e0))+ & op(op(e3,e5),e1) = op(e3,op(e5,e1))+ & op(op(e3,e5),e2) = op(e3,op(e5,e2))+ & op(op(e3,e5),e3) = op(e3,op(e5,e3))+ & op(op(e3,e5),e4) = op(e3,op(e5,e4))+ & op(op(e3,e5),e5) = op(e3,op(e5,e5))+ & op(op(e4,e0),e0) = op(e4,op(e0,e0))+ & op(op(e4,e0),e1) = op(e4,op(e0,e1))+ & op(op(e4,e0),e2) = op(e4,op(e0,e2))+ & op(op(e4,e0),e3) = op(e4,op(e0,e3))+ & op(op(e4,e0),e4) = op(e4,op(e0,e4))+ & op(op(e4,e0),e5) = op(e4,op(e0,e5))+ & op(op(e4,e1),e0) = op(e4,op(e1,e0))+ & op(op(e4,e1),e1) = op(e4,op(e1,e1))+ & op(op(e4,e1),e2) = op(e4,op(e1,e2))+ & op(op(e4,e1),e3) = op(e4,op(e1,e3))+ & op(op(e4,e1),e4) = op(e4,op(e1,e4))+ & op(op(e4,e1),e5) = op(e4,op(e1,e5))+ & op(op(e4,e2),e0) = op(e4,op(e2,e0))+ & op(op(e4,e2),e1) = op(e4,op(e2,e1))+ & op(op(e4,e2),e2) = op(e4,op(e2,e2))+ & op(op(e4,e2),e3) = op(e4,op(e2,e3))+ & op(op(e4,e2),e4) = op(e4,op(e2,e4))+ & op(op(e4,e2),e5) = op(e4,op(e2,e5))+ & op(op(e4,e3),e0) = op(e4,op(e3,e0))+ & op(op(e4,e3),e1) = op(e4,op(e3,e1))+ & op(op(e4,e3),e2) = op(e4,op(e3,e2))+ & op(op(e4,e3),e3) = op(e4,op(e3,e3))+ & op(op(e4,e3),e4) = op(e4,op(e3,e4))+ & op(op(e4,e3),e5) = op(e4,op(e3,e5))+ & op(op(e4,e4),e0) = op(e4,op(e4,e0))+ & op(op(e4,e4),e1) = op(e4,op(e4,e1))+ & op(op(e4,e4),e2) = op(e4,op(e4,e2))+ & op(op(e4,e4),e3) = op(e4,op(e4,e3))+ & op(op(e4,e4),e4) = op(e4,op(e4,e4))+ & op(op(e4,e4),e5) = op(e4,op(e4,e5))+ & op(op(e4,e5),e0) = op(e4,op(e5,e0))+ & op(op(e4,e5),e1) = op(e4,op(e5,e1))+ & op(op(e4,e5),e2) = op(e4,op(e5,e2))+ & op(op(e4,e5),e3) = op(e4,op(e5,e3))+ & op(op(e4,e5),e4) = op(e4,op(e5,e4))+ & op(op(e4,e5),e5) = op(e4,op(e5,e5))+ & op(op(e5,e0),e0) = op(e5,op(e0,e0))+ & op(op(e5,e0),e1) = op(e5,op(e0,e1))+ & op(op(e5,e0),e2) = op(e5,op(e0,e2))+ & op(op(e5,e0),e3) = op(e5,op(e0,e3))+ & op(op(e5,e0),e4) = op(e5,op(e0,e4))+ & op(op(e5,e0),e5) = op(e5,op(e0,e5))+ & op(op(e5,e1),e0) = op(e5,op(e1,e0))+ & op(op(e5,e1),e1) = op(e5,op(e1,e1))+ & op(op(e5,e1),e2) = op(e5,op(e1,e2))+ & op(op(e5,e1),e3) = op(e5,op(e1,e3))+ & op(op(e5,e1),e4) = op(e5,op(e1,e4))+ & op(op(e5,e1),e5) = op(e5,op(e1,e5))+ & op(op(e5,e2),e0) = op(e5,op(e2,e0))+ & op(op(e5,e2),e1) = op(e5,op(e2,e1))+ & op(op(e5,e2),e2) = op(e5,op(e2,e2))+ & op(op(e5,e2),e3) = op(e5,op(e2,e3))+ & op(op(e5,e2),e4) = op(e5,op(e2,e4))+ & op(op(e5,e2),e5) = op(e5,op(e2,e5))+ & op(op(e5,e3),e0) = op(e5,op(e3,e0))+ & op(op(e5,e3),e1) = op(e5,op(e3,e1))+ & op(op(e5,e3),e2) = op(e5,op(e3,e2))+ & op(op(e5,e3),e3) = op(e5,op(e3,e3))+ & op(op(e5,e3),e4) = op(e5,op(e3,e4))+ & op(op(e5,e3),e5) = op(e5,op(e3,e5))+ & op(op(e5,e4),e0) = op(e5,op(e4,e0))+ & op(op(e5,e4),e1) = op(e5,op(e4,e1))+ & op(op(e5,e4),e2) = op(e5,op(e4,e2))+ & op(op(e5,e4),e3) = op(e5,op(e4,e3))+ & op(op(e5,e4),e4) = op(e5,op(e4,e4))+ & op(op(e5,e4),e5) = op(e5,op(e4,e5))+ & op(op(e5,e5),e0) = op(e5,op(e5,e0))+ & op(op(e5,e5),e1) = op(e5,op(e5,e1))+ & op(op(e5,e5),e2) = op(e5,op(e5,e2))+ & op(op(e5,e5),e3) = op(e5,op(e5,e3))+ & op(op(e5,e5),e4) = op(e5,op(e5,e4))+ & op(op(e5,e5),e5) = op(e5,op(e5,e5)) ),+ input).++fof(ax2_0,plain,+ ( op(op(e0,e0),e0) = op(e0,op(e0,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_1,plain,+ ( op(op(e0,e0),e1) = op(e0,op(e0,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_2,plain,+ ( op(op(e0,e0),e2) = op(e0,op(e0,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_3,plain,+ ( op(op(e0,e0),e3) = op(e0,op(e0,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_4,plain,+ ( op(op(e0,e0),e4) = op(e0,op(e0,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_5,plain,+ ( op(op(e0,e0),e5) = op(e0,op(e0,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_6,plain,+ ( op(op(e0,e1),e0) = op(e0,op(e1,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_7,plain,+ ( op(op(e0,e1),e1) = op(e0,op(e1,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_8,plain,+ ( op(op(e0,e1),e2) = op(e0,op(e1,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_9,plain,+ ( op(op(e0,e1),e3) = op(e0,op(e1,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_10,plain,+ ( op(op(e0,e1),e4) = op(e0,op(e1,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_11,plain,+ ( op(op(e0,e1),e5) = op(e0,op(e1,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_12,plain,+ ( op(op(e0,e2),e0) = op(e0,op(e2,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_13,plain,+ ( op(op(e0,e2),e1) = op(e0,op(e2,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_14,plain,+ ( op(op(e0,e2),e2) = op(e0,op(e2,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_15,plain,+ ( op(op(e0,e2),e3) = op(e0,op(e2,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_16,plain,+ ( op(op(e0,e2),e4) = op(e0,op(e2,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_17,plain,+ ( op(op(e0,e2),e5) = op(e0,op(e2,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_18,plain,+ ( op(op(e0,e3),e0) = op(e0,op(e3,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_19,plain,+ ( op(op(e0,e3),e1) = op(e0,op(e3,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_20,plain,+ ( op(op(e0,e3),e2) = op(e0,op(e3,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_21,plain,+ ( op(op(e0,e3),e3) = op(e0,op(e3,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_22,plain,+ ( op(op(e0,e3),e4) = op(e0,op(e3,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_23,plain,+ ( op(op(e0,e3),e5) = op(e0,op(e3,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_24,plain,+ ( op(op(e0,e4),e0) = op(e0,op(e4,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_25,plain,+ ( op(op(e0,e4),e1) = op(e0,op(e4,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_26,plain,+ ( op(op(e0,e4),e2) = op(e0,op(e4,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_27,plain,+ ( op(op(e0,e4),e3) = op(e0,op(e4,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_28,plain,+ ( op(op(e0,e4),e4) = op(e0,op(e4,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_29,plain,+ ( op(op(e0,e4),e5) = op(e0,op(e4,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_30,plain,+ ( op(op(e0,e5),e0) = op(e0,op(e5,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_31,plain,+ ( op(op(e0,e5),e1) = op(e0,op(e5,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_32,plain,+ ( op(op(e0,e5),e2) = op(e0,op(e5,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_33,plain,+ ( op(op(e0,e5),e3) = op(e0,op(e5,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_34,plain,+ ( op(op(e0,e5),e4) = op(e0,op(e5,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_35,plain,+ ( op(op(e0,e5),e5) = op(e0,op(e5,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_36,plain,+ ( op(op(e1,e0),e0) = op(e1,op(e0,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_37,plain,+ ( op(op(e1,e0),e1) = op(e1,op(e0,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_38,plain,+ ( op(op(e1,e0),e2) = op(e1,op(e0,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_39,plain,+ ( op(op(e1,e0),e3) = op(e1,op(e0,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_40,plain,+ ( op(op(e1,e0),e4) = op(e1,op(e0,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_41,plain,+ ( op(op(e1,e0),e5) = op(e1,op(e0,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_42,plain,+ ( op(op(e1,e1),e0) = op(e1,op(e1,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_43,plain,+ ( op(op(e1,e1),e1) = op(e1,op(e1,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_44,plain,+ ( op(op(e1,e1),e2) = op(e1,op(e1,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_45,plain,+ ( op(op(e1,e1),e3) = op(e1,op(e1,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_46,plain,+ ( op(op(e1,e1),e4) = op(e1,op(e1,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_47,plain,+ ( op(op(e1,e1),e5) = op(e1,op(e1,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_48,plain,+ ( op(op(e1,e2),e0) = op(e1,op(e2,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_49,plain,+ ( op(op(e1,e2),e1) = op(e1,op(e2,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_50,plain,+ ( op(op(e1,e2),e2) = op(e1,op(e2,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_51,plain,+ ( op(op(e1,e2),e3) = op(e1,op(e2,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_52,plain,+ ( op(op(e1,e2),e4) = op(e1,op(e2,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_53,plain,+ ( op(op(e1,e2),e5) = op(e1,op(e2,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_54,plain,+ ( op(op(e1,e3),e0) = op(e1,op(e3,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_55,plain,+ ( op(op(e1,e3),e1) = op(e1,op(e3,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_56,plain,+ ( op(op(e1,e3),e2) = op(e1,op(e3,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_57,plain,+ ( op(op(e1,e3),e3) = op(e1,op(e3,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_58,plain,+ ( op(op(e1,e3),e4) = op(e1,op(e3,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_59,plain,+ ( op(op(e1,e3),e5) = op(e1,op(e3,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_60,plain,+ ( op(op(e1,e4),e0) = op(e1,op(e4,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_61,plain,+ ( op(op(e1,e4),e1) = op(e1,op(e4,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_62,plain,+ ( op(op(e1,e4),e2) = op(e1,op(e4,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_63,plain,+ ( op(op(e1,e4),e3) = op(e1,op(e4,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_64,plain,+ ( op(op(e1,e4),e4) = op(e1,op(e4,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_65,plain,+ ( op(op(e1,e4),e5) = op(e1,op(e4,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_66,plain,+ ( op(op(e1,e5),e0) = op(e1,op(e5,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_67,plain,+ ( op(op(e1,e5),e1) = op(e1,op(e5,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_68,plain,+ ( op(op(e1,e5),e2) = op(e1,op(e5,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_69,plain,+ ( op(op(e1,e5),e3) = op(e1,op(e5,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_70,plain,+ ( op(op(e1,e5),e4) = op(e1,op(e5,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_71,plain,+ ( op(op(e1,e5),e5) = op(e1,op(e5,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_72,plain,+ ( op(op(e2,e0),e0) = op(e2,op(e0,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_73,plain,+ ( op(op(e2,e0),e1) = op(e2,op(e0,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_74,plain,+ ( op(op(e2,e0),e2) = op(e2,op(e0,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_75,plain,+ ( op(op(e2,e0),e3) = op(e2,op(e0,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_76,plain,+ ( op(op(e2,e0),e4) = op(e2,op(e0,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_77,plain,+ ( op(op(e2,e0),e5) = op(e2,op(e0,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_78,plain,+ ( op(op(e2,e1),e0) = op(e2,op(e1,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_79,plain,+ ( op(op(e2,e1),e1) = op(e2,op(e1,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_80,plain,+ ( op(op(e2,e1),e2) = op(e2,op(e1,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_81,plain,+ ( op(op(e2,e1),e3) = op(e2,op(e1,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_82,plain,+ ( op(op(e2,e1),e4) = op(e2,op(e1,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_83,plain,+ ( op(op(e2,e1),e5) = op(e2,op(e1,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_84,plain,+ ( op(op(e2,e2),e0) = op(e2,op(e2,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_85,plain,+ ( op(op(e2,e2),e1) = op(e2,op(e2,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_86,plain,+ ( op(op(e2,e2),e2) = op(e2,op(e2,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_87,plain,+ ( op(op(e2,e2),e3) = op(e2,op(e2,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_88,plain,+ ( op(op(e2,e2),e4) = op(e2,op(e2,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_89,plain,+ ( op(op(e2,e2),e5) = op(e2,op(e2,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_90,plain,+ ( op(op(e2,e3),e0) = op(e2,op(e3,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_91,plain,+ ( op(op(e2,e3),e1) = op(e2,op(e3,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_92,plain,+ ( op(op(e2,e3),e2) = op(e2,op(e3,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_93,plain,+ ( op(op(e2,e3),e3) = op(e2,op(e3,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_94,plain,+ ( op(op(e2,e3),e4) = op(e2,op(e3,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_95,plain,+ ( op(op(e2,e3),e5) = op(e2,op(e3,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_96,plain,+ ( op(op(e2,e4),e0) = op(e2,op(e4,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_97,plain,+ ( op(op(e2,e4),e1) = op(e2,op(e4,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_98,plain,+ ( op(op(e2,e4),e2) = op(e2,op(e4,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_99,plain,+ ( op(op(e2,e4),e3) = op(e2,op(e4,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_100,plain,+ ( op(op(e2,e4),e4) = op(e2,op(e4,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_101,plain,+ ( op(op(e2,e4),e5) = op(e2,op(e4,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_102,plain,+ ( op(op(e2,e5),e0) = op(e2,op(e5,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_103,plain,+ ( op(op(e2,e5),e1) = op(e2,op(e5,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_104,plain,+ ( op(op(e2,e5),e2) = op(e2,op(e5,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_105,plain,+ ( op(op(e2,e5),e3) = op(e2,op(e5,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_106,plain,+ ( op(op(e2,e5),e4) = op(e2,op(e5,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_107,plain,+ ( op(op(e2,e5),e5) = op(e2,op(e5,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_108,plain,+ ( op(op(e3,e0),e0) = op(e3,op(e0,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_109,plain,+ ( op(op(e3,e0),e1) = op(e3,op(e0,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_110,plain,+ ( op(op(e3,e0),e2) = op(e3,op(e0,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_111,plain,+ ( op(op(e3,e0),e3) = op(e3,op(e0,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_112,plain,+ ( op(op(e3,e0),e4) = op(e3,op(e0,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_113,plain,+ ( op(op(e3,e0),e5) = op(e3,op(e0,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_114,plain,+ ( op(op(e3,e1),e0) = op(e3,op(e1,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_115,plain,+ ( op(op(e3,e1),e1) = op(e3,op(e1,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_116,plain,+ ( op(op(e3,e1),e2) = op(e3,op(e1,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_117,plain,+ ( op(op(e3,e1),e3) = op(e3,op(e1,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_118,plain,+ ( op(op(e3,e1),e4) = op(e3,op(e1,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_119,plain,+ ( op(op(e3,e1),e5) = op(e3,op(e1,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_120,plain,+ ( op(op(e3,e2),e0) = op(e3,op(e2,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_121,plain,+ ( op(op(e3,e2),e1) = op(e3,op(e2,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_122,plain,+ ( op(op(e3,e2),e2) = op(e3,op(e2,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_123,plain,+ ( op(op(e3,e2),e3) = op(e3,op(e2,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_124,plain,+ ( op(op(e3,e2),e4) = op(e3,op(e2,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_125,plain,+ ( op(op(e3,e2),e5) = op(e3,op(e2,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_126,plain,+ ( op(op(e3,e3),e0) = op(e3,op(e3,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_127,plain,+ ( op(op(e3,e3),e1) = op(e3,op(e3,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_128,plain,+ ( op(op(e3,e3),e2) = op(e3,op(e3,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_129,plain,+ ( op(op(e3,e3),e3) = op(e3,op(e3,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_130,plain,+ ( op(op(e3,e3),e4) = op(e3,op(e3,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_131,plain,+ ( op(op(e3,e3),e5) = op(e3,op(e3,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_132,plain,+ ( op(op(e3,e4),e0) = op(e3,op(e4,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_133,plain,+ ( op(op(e3,e4),e1) = op(e3,op(e4,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_134,plain,+ ( op(op(e3,e4),e2) = op(e3,op(e4,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_135,plain,+ ( op(op(e3,e4),e3) = op(e3,op(e4,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_136,plain,+ ( op(op(e3,e4),e4) = op(e3,op(e4,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_137,plain,+ ( op(op(e3,e4),e5) = op(e3,op(e4,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_138,plain,+ ( op(op(e3,e5),e0) = op(e3,op(e5,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_139,plain,+ ( op(op(e3,e5),e1) = op(e3,op(e5,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_140,plain,+ ( op(op(e3,e5),e2) = op(e3,op(e5,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_141,plain,+ ( op(op(e3,e5),e3) = op(e3,op(e5,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_142,plain,+ ( op(op(e3,e5),e4) = op(e3,op(e5,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_143,plain,+ ( op(op(e3,e5),e5) = op(e3,op(e5,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_144,plain,+ ( op(op(e4,e0),e0) = op(e4,op(e0,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_145,plain,+ ( op(op(e4,e0),e1) = op(e4,op(e0,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_146,plain,+ ( op(op(e4,e0),e2) = op(e4,op(e0,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_147,plain,+ ( op(op(e4,e0),e3) = op(e4,op(e0,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_148,plain,+ ( op(op(e4,e0),e4) = op(e4,op(e0,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_149,plain,+ ( op(op(e4,e0),e5) = op(e4,op(e0,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_150,plain,+ ( op(op(e4,e1),e0) = op(e4,op(e1,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_151,plain,+ ( op(op(e4,e1),e1) = op(e4,op(e1,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_152,plain,+ ( op(op(e4,e1),e2) = op(e4,op(e1,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_153,plain,+ ( op(op(e4,e1),e3) = op(e4,op(e1,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_154,plain,+ ( op(op(e4,e1),e4) = op(e4,op(e1,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_155,plain,+ ( op(op(e4,e1),e5) = op(e4,op(e1,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_156,plain,+ ( op(op(e4,e2),e0) = op(e4,op(e2,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_157,plain,+ ( op(op(e4,e2),e1) = op(e4,op(e2,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_158,plain,+ ( op(op(e4,e2),e2) = op(e4,op(e2,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_159,plain,+ ( op(op(e4,e2),e3) = op(e4,op(e2,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_160,plain,+ ( op(op(e4,e2),e4) = op(e4,op(e2,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_161,plain,+ ( op(op(e4,e2),e5) = op(e4,op(e2,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_162,plain,+ ( op(op(e4,e3),e0) = op(e4,op(e3,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_163,plain,+ ( op(op(e4,e3),e1) = op(e4,op(e3,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_164,plain,+ ( op(op(e4,e3),e2) = op(e4,op(e3,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_165,plain,+ ( op(op(e4,e3),e3) = op(e4,op(e3,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_166,plain,+ ( op(op(e4,e3),e4) = op(e4,op(e3,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_167,plain,+ ( op(op(e4,e3),e5) = op(e4,op(e3,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_168,plain,+ ( op(op(e4,e4),e0) = op(e4,op(e4,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_169,plain,+ ( op(op(e4,e4),e1) = op(e4,op(e4,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_170,plain,+ ( op(op(e4,e4),e2) = op(e4,op(e4,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_171,plain,+ ( op(op(e4,e4),e3) = op(e4,op(e4,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_172,plain,+ ( op(op(e4,e4),e4) = op(e4,op(e4,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_173,plain,+ ( op(op(e4,e4),e5) = op(e4,op(e4,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_174,plain,+ ( op(op(e4,e5),e0) = op(e4,op(e5,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_175,plain,+ ( op(op(e4,e5),e1) = op(e4,op(e5,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_176,plain,+ ( op(op(e4,e5),e2) = op(e4,op(e5,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_177,plain,+ ( op(op(e4,e5),e3) = op(e4,op(e5,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_178,plain,+ ( op(op(e4,e5),e4) = op(e4,op(e5,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_179,plain,+ ( op(op(e4,e5),e5) = op(e4,op(e5,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_180,plain,+ ( op(op(e5,e0),e0) = op(e5,op(e0,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_181,plain,+ ( op(op(e5,e0),e1) = op(e5,op(e0,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_182,plain,+ ( op(op(e5,e0),e2) = op(e5,op(e0,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_183,plain,+ ( op(op(e5,e0),e3) = op(e5,op(e0,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_184,plain,+ ( op(op(e5,e0),e4) = op(e5,op(e0,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_185,plain,+ ( op(op(e5,e0),e5) = op(e5,op(e0,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_186,plain,+ ( op(op(e5,e1),e0) = op(e5,op(e1,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_187,plain,+ ( op(op(e5,e1),e1) = op(e5,op(e1,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_188,plain,+ ( op(op(e5,e1),e2) = op(e5,op(e1,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_189,plain,+ ( op(op(e5,e1),e3) = op(e5,op(e1,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_190,plain,+ ( op(op(e5,e1),e4) = op(e5,op(e1,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_191,plain,+ ( op(op(e5,e1),e5) = op(e5,op(e1,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_192,plain,+ ( op(op(e5,e2),e0) = op(e5,op(e2,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_193,plain,+ ( op(op(e5,e2),e1) = op(e5,op(e2,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_194,plain,+ ( op(op(e5,e2),e2) = op(e5,op(e2,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_195,plain,+ ( op(op(e5,e2),e3) = op(e5,op(e2,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_196,plain,+ ( op(op(e5,e2),e4) = op(e5,op(e2,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_197,plain,+ ( op(op(e5,e2),e5) = op(e5,op(e2,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_198,plain,+ ( op(op(e5,e3),e0) = op(e5,op(e3,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_199,plain,+ ( op(op(e5,e3),e1) = op(e5,op(e3,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_200,plain,+ ( op(op(e5,e3),e2) = op(e5,op(e3,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_201,plain,+ ( op(op(e5,e3),e3) = op(e5,op(e3,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_202,plain,+ ( op(op(e5,e3),e4) = op(e5,op(e3,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_203,plain,+ ( op(op(e5,e3),e5) = op(e5,op(e3,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_204,plain,+ ( op(op(e5,e4),e0) = op(e5,op(e4,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_205,plain,+ ( op(op(e5,e4),e1) = op(e5,op(e4,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_206,plain,+ ( op(op(e5,e4),e2) = op(e5,op(e4,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_207,plain,+ ( op(op(e5,e4),e3) = op(e5,op(e4,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_208,plain,+ ( op(op(e5,e4),e4) = op(e5,op(e4,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_209,plain,+ ( op(op(e5,e4),e5) = op(e5,op(e4,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_210,plain,+ ( op(op(e5,e5),e0) = op(e5,op(e5,e0))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_211,plain,+ ( op(op(e5,e5),e1) = op(e5,op(e5,e1))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_212,plain,+ ( op(op(e5,e5),e2) = op(e5,op(e5,e2))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_213,plain,+ ( op(op(e5,e5),e3) = op(e5,op(e5,e3))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_214,plain,+ ( op(op(e5,e5),e4) = op(e5,op(e5,e4))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(ax2_215,plain,+ ( op(op(e5,e5),e5) = op(e5,op(e5,e5))+ | $false ),+ inference(orientation,[status(thm)],[ax2])).++fof(def_lhs_atom1,axiom,+ ( lhs_atom1+ <=> op(op(e5,e5),e5) = op(e5,op(e5,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_0,plain,+ ( lhs_atom1+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_215,def_lhs_atom1])).++fof(def_lhs_atom2,axiom,+ ( lhs_atom2+ <=> op(op(e5,e5),e4) = op(e5,op(e5,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_1,plain,+ ( lhs_atom2+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_214,def_lhs_atom2])).++fof(def_lhs_atom3,axiom,+ ( lhs_atom3+ <=> op(op(e5,e5),e3) = op(e5,op(e5,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_2,plain,+ ( lhs_atom3+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_213,def_lhs_atom3])).++fof(def_lhs_atom4,axiom,+ ( lhs_atom4+ <=> op(op(e5,e5),e2) = op(e5,op(e5,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_3,plain,+ ( lhs_atom4+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_212,def_lhs_atom4])).++fof(def_lhs_atom5,axiom,+ ( lhs_atom5+ <=> op(op(e5,e5),e1) = op(e5,op(e5,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_4,plain,+ ( lhs_atom5+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_211,def_lhs_atom5])).++fof(def_lhs_atom6,axiom,+ ( lhs_atom6+ <=> op(op(e5,e5),e0) = op(e5,op(e5,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_5,plain,+ ( lhs_atom6+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_210,def_lhs_atom6])).++fof(def_lhs_atom7,axiom,+ ( lhs_atom7+ <=> op(op(e5,e4),e5) = op(e5,op(e4,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_6,plain,+ ( lhs_atom7+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_209,def_lhs_atom7])).++fof(def_lhs_atom8,axiom,+ ( lhs_atom8+ <=> op(op(e5,e4),e4) = op(e5,op(e4,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_7,plain,+ ( lhs_atom8+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_208,def_lhs_atom8])).++fof(def_lhs_atom9,axiom,+ ( lhs_atom9+ <=> op(op(e5,e4),e3) = op(e5,op(e4,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_8,plain,+ ( lhs_atom9+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_207,def_lhs_atom9])).++fof(def_lhs_atom10,axiom,+ ( lhs_atom10+ <=> op(op(e5,e4),e2) = op(e5,op(e4,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_9,plain,+ ( lhs_atom10+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_206,def_lhs_atom10])).++fof(def_lhs_atom11,axiom,+ ( lhs_atom11+ <=> op(op(e5,e4),e1) = op(e5,op(e4,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_10,plain,+ ( lhs_atom11+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_205,def_lhs_atom11])).++fof(def_lhs_atom12,axiom,+ ( lhs_atom12+ <=> op(op(e5,e4),e0) = op(e5,op(e4,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_11,plain,+ ( lhs_atom12+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_204,def_lhs_atom12])).++fof(def_lhs_atom13,axiom,+ ( lhs_atom13+ <=> op(op(e5,e3),e5) = op(e5,op(e3,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_12,plain,+ ( lhs_atom13+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_203,def_lhs_atom13])).++fof(def_lhs_atom14,axiom,+ ( lhs_atom14+ <=> op(op(e5,e3),e4) = op(e5,op(e3,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_13,plain,+ ( lhs_atom14+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_202,def_lhs_atom14])).++fof(def_lhs_atom15,axiom,+ ( lhs_atom15+ <=> op(op(e5,e3),e3) = op(e5,op(e3,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_14,plain,+ ( lhs_atom15+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_201,def_lhs_atom15])).++fof(def_lhs_atom16,axiom,+ ( lhs_atom16+ <=> op(op(e5,e3),e2) = op(e5,op(e3,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_15,plain,+ ( lhs_atom16+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_200,def_lhs_atom16])).++fof(def_lhs_atom17,axiom,+ ( lhs_atom17+ <=> op(op(e5,e3),e1) = op(e5,op(e3,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_16,plain,+ ( lhs_atom17+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_199,def_lhs_atom17])).++fof(def_lhs_atom18,axiom,+ ( lhs_atom18+ <=> op(op(e5,e3),e0) = op(e5,op(e3,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_17,plain,+ ( lhs_atom18+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_198,def_lhs_atom18])).++fof(def_lhs_atom19,axiom,+ ( lhs_atom19+ <=> op(op(e5,e2),e5) = op(e5,op(e2,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_18,plain,+ ( lhs_atom19+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_197,def_lhs_atom19])).++fof(def_lhs_atom20,axiom,+ ( lhs_atom20+ <=> op(op(e5,e2),e4) = op(e5,op(e2,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_19,plain,+ ( lhs_atom20+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_196,def_lhs_atom20])).++fof(def_lhs_atom21,axiom,+ ( lhs_atom21+ <=> op(op(e5,e2),e3) = op(e5,op(e2,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_20,plain,+ ( lhs_atom21+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_195,def_lhs_atom21])).++fof(def_lhs_atom22,axiom,+ ( lhs_atom22+ <=> op(op(e5,e2),e2) = op(e5,op(e2,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_21,plain,+ ( lhs_atom22+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_194,def_lhs_atom22])).++fof(def_lhs_atom23,axiom,+ ( lhs_atom23+ <=> op(op(e5,e2),e1) = op(e5,op(e2,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_22,plain,+ ( lhs_atom23+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_193,def_lhs_atom23])).++fof(def_lhs_atom24,axiom,+ ( lhs_atom24+ <=> op(op(e5,e2),e0) = op(e5,op(e2,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_23,plain,+ ( lhs_atom24+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_192,def_lhs_atom24])).++fof(def_lhs_atom25,axiom,+ ( lhs_atom25+ <=> op(op(e5,e1),e5) = op(e5,op(e1,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_24,plain,+ ( lhs_atom25+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_191,def_lhs_atom25])).++fof(def_lhs_atom26,axiom,+ ( lhs_atom26+ <=> op(op(e5,e1),e4) = op(e5,op(e1,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_25,plain,+ ( lhs_atom26+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_190,def_lhs_atom26])).++fof(def_lhs_atom27,axiom,+ ( lhs_atom27+ <=> op(op(e5,e1),e3) = op(e5,op(e1,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_26,plain,+ ( lhs_atom27+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_189,def_lhs_atom27])).++fof(def_lhs_atom28,axiom,+ ( lhs_atom28+ <=> op(op(e5,e1),e2) = op(e5,op(e1,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_27,plain,+ ( lhs_atom28+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_188,def_lhs_atom28])).++fof(def_lhs_atom29,axiom,+ ( lhs_atom29+ <=> op(op(e5,e1),e1) = op(e5,op(e1,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_28,plain,+ ( lhs_atom29+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_187,def_lhs_atom29])).++fof(def_lhs_atom30,axiom,+ ( lhs_atom30+ <=> op(op(e5,e1),e0) = op(e5,op(e1,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_29,plain,+ ( lhs_atom30+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_186,def_lhs_atom30])).++fof(def_lhs_atom31,axiom,+ ( lhs_atom31+ <=> op(op(e5,e0),e5) = op(e5,op(e0,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_30,plain,+ ( lhs_atom31+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_185,def_lhs_atom31])).++fof(def_lhs_atom32,axiom,+ ( lhs_atom32+ <=> op(op(e5,e0),e4) = op(e5,op(e0,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_31,plain,+ ( lhs_atom32+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_184,def_lhs_atom32])).++fof(def_lhs_atom33,axiom,+ ( lhs_atom33+ <=> op(op(e5,e0),e3) = op(e5,op(e0,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_32,plain,+ ( lhs_atom33+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_183,def_lhs_atom33])).++fof(def_lhs_atom34,axiom,+ ( lhs_atom34+ <=> op(op(e5,e0),e2) = op(e5,op(e0,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_33,plain,+ ( lhs_atom34+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_182,def_lhs_atom34])).++fof(def_lhs_atom35,axiom,+ ( lhs_atom35+ <=> op(op(e5,e0),e1) = op(e5,op(e0,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_34,plain,+ ( lhs_atom35+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_181,def_lhs_atom35])).++fof(def_lhs_atom36,axiom,+ ( lhs_atom36+ <=> op(op(e5,e0),e0) = op(e5,op(e0,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_35,plain,+ ( lhs_atom36+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_180,def_lhs_atom36])).++fof(def_lhs_atom37,axiom,+ ( lhs_atom37+ <=> op(op(e4,e5),e5) = op(e4,op(e5,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_36,plain,+ ( lhs_atom37+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_179,def_lhs_atom37])).++fof(def_lhs_atom38,axiom,+ ( lhs_atom38+ <=> op(op(e4,e5),e4) = op(e4,op(e5,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_37,plain,+ ( lhs_atom38+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_178,def_lhs_atom38])).++fof(def_lhs_atom39,axiom,+ ( lhs_atom39+ <=> op(op(e4,e5),e3) = op(e4,op(e5,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_38,plain,+ ( lhs_atom39+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_177,def_lhs_atom39])).++fof(def_lhs_atom40,axiom,+ ( lhs_atom40+ <=> op(op(e4,e5),e2) = op(e4,op(e5,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_39,plain,+ ( lhs_atom40+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_176,def_lhs_atom40])).++fof(def_lhs_atom41,axiom,+ ( lhs_atom41+ <=> op(op(e4,e5),e1) = op(e4,op(e5,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_40,plain,+ ( lhs_atom41+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_175,def_lhs_atom41])).++fof(def_lhs_atom42,axiom,+ ( lhs_atom42+ <=> op(op(e4,e5),e0) = op(e4,op(e5,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_41,plain,+ ( lhs_atom42+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_174,def_lhs_atom42])).++fof(def_lhs_atom43,axiom,+ ( lhs_atom43+ <=> op(op(e4,e4),e5) = op(e4,op(e4,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_42,plain,+ ( lhs_atom43+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_173,def_lhs_atom43])).++fof(def_lhs_atom44,axiom,+ ( lhs_atom44+ <=> op(op(e4,e4),e4) = op(e4,op(e4,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_43,plain,+ ( lhs_atom44+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_172,def_lhs_atom44])).++fof(def_lhs_atom45,axiom,+ ( lhs_atom45+ <=> op(op(e4,e4),e3) = op(e4,op(e4,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_44,plain,+ ( lhs_atom45+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_171,def_lhs_atom45])).++fof(def_lhs_atom46,axiom,+ ( lhs_atom46+ <=> op(op(e4,e4),e2) = op(e4,op(e4,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_45,plain,+ ( lhs_atom46+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_170,def_lhs_atom46])).++fof(def_lhs_atom47,axiom,+ ( lhs_atom47+ <=> op(op(e4,e4),e1) = op(e4,op(e4,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_46,plain,+ ( lhs_atom47+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_169,def_lhs_atom47])).++fof(def_lhs_atom48,axiom,+ ( lhs_atom48+ <=> op(op(e4,e4),e0) = op(e4,op(e4,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_47,plain,+ ( lhs_atom48+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_168,def_lhs_atom48])).++fof(def_lhs_atom49,axiom,+ ( lhs_atom49+ <=> op(op(e4,e3),e5) = op(e4,op(e3,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_48,plain,+ ( lhs_atom49+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_167,def_lhs_atom49])).++fof(def_lhs_atom50,axiom,+ ( lhs_atom50+ <=> op(op(e4,e3),e4) = op(e4,op(e3,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_49,plain,+ ( lhs_atom50+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_166,def_lhs_atom50])).++fof(def_lhs_atom51,axiom,+ ( lhs_atom51+ <=> op(op(e4,e3),e3) = op(e4,op(e3,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_50,plain,+ ( lhs_atom51+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_165,def_lhs_atom51])).++fof(def_lhs_atom52,axiom,+ ( lhs_atom52+ <=> op(op(e4,e3),e2) = op(e4,op(e3,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_51,plain,+ ( lhs_atom52+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_164,def_lhs_atom52])).++fof(def_lhs_atom53,axiom,+ ( lhs_atom53+ <=> op(op(e4,e3),e1) = op(e4,op(e3,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_52,plain,+ ( lhs_atom53+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_163,def_lhs_atom53])).++fof(def_lhs_atom54,axiom,+ ( lhs_atom54+ <=> op(op(e4,e3),e0) = op(e4,op(e3,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_53,plain,+ ( lhs_atom54+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_162,def_lhs_atom54])).++fof(def_lhs_atom55,axiom,+ ( lhs_atom55+ <=> op(op(e4,e2),e5) = op(e4,op(e2,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_54,plain,+ ( lhs_atom55+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_161,def_lhs_atom55])).++fof(def_lhs_atom56,axiom,+ ( lhs_atom56+ <=> op(op(e4,e2),e4) = op(e4,op(e2,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_55,plain,+ ( lhs_atom56+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_160,def_lhs_atom56])).++fof(def_lhs_atom57,axiom,+ ( lhs_atom57+ <=> op(op(e4,e2),e3) = op(e4,op(e2,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_56,plain,+ ( lhs_atom57+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_159,def_lhs_atom57])).++fof(def_lhs_atom58,axiom,+ ( lhs_atom58+ <=> op(op(e4,e2),e2) = op(e4,op(e2,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_57,plain,+ ( lhs_atom58+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_158,def_lhs_atom58])).++fof(def_lhs_atom59,axiom,+ ( lhs_atom59+ <=> op(op(e4,e2),e1) = op(e4,op(e2,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_58,plain,+ ( lhs_atom59+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_157,def_lhs_atom59])).++fof(def_lhs_atom60,axiom,+ ( lhs_atom60+ <=> op(op(e4,e2),e0) = op(e4,op(e2,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_59,plain,+ ( lhs_atom60+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_156,def_lhs_atom60])).++fof(def_lhs_atom61,axiom,+ ( lhs_atom61+ <=> op(op(e4,e1),e5) = op(e4,op(e1,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_60,plain,+ ( lhs_atom61+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_155,def_lhs_atom61])).++fof(def_lhs_atom62,axiom,+ ( lhs_atom62+ <=> op(op(e4,e1),e4) = op(e4,op(e1,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_61,plain,+ ( lhs_atom62+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_154,def_lhs_atom62])).++fof(def_lhs_atom63,axiom,+ ( lhs_atom63+ <=> op(op(e4,e1),e3) = op(e4,op(e1,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_62,plain,+ ( lhs_atom63+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_153,def_lhs_atom63])).++fof(def_lhs_atom64,axiom,+ ( lhs_atom64+ <=> op(op(e4,e1),e2) = op(e4,op(e1,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_63,plain,+ ( lhs_atom64+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_152,def_lhs_atom64])).++fof(def_lhs_atom65,axiom,+ ( lhs_atom65+ <=> op(op(e4,e1),e1) = op(e4,op(e1,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_64,plain,+ ( lhs_atom65+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_151,def_lhs_atom65])).++fof(def_lhs_atom66,axiom,+ ( lhs_atom66+ <=> op(op(e4,e1),e0) = op(e4,op(e1,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_65,plain,+ ( lhs_atom66+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_150,def_lhs_atom66])).++fof(def_lhs_atom67,axiom,+ ( lhs_atom67+ <=> op(op(e4,e0),e5) = op(e4,op(e0,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_66,plain,+ ( lhs_atom67+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_149,def_lhs_atom67])).++fof(def_lhs_atom68,axiom,+ ( lhs_atom68+ <=> op(op(e4,e0),e4) = op(e4,op(e0,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_67,plain,+ ( lhs_atom68+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_148,def_lhs_atom68])).++fof(def_lhs_atom69,axiom,+ ( lhs_atom69+ <=> op(op(e4,e0),e3) = op(e4,op(e0,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_68,plain,+ ( lhs_atom69+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_147,def_lhs_atom69])).++fof(def_lhs_atom70,axiom,+ ( lhs_atom70+ <=> op(op(e4,e0),e2) = op(e4,op(e0,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_69,plain,+ ( lhs_atom70+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_146,def_lhs_atom70])).++fof(def_lhs_atom71,axiom,+ ( lhs_atom71+ <=> op(op(e4,e0),e1) = op(e4,op(e0,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_70,plain,+ ( lhs_atom71+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_145,def_lhs_atom71])).++fof(def_lhs_atom72,axiom,+ ( lhs_atom72+ <=> op(op(e4,e0),e0) = op(e4,op(e0,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_71,plain,+ ( lhs_atom72+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_144,def_lhs_atom72])).++fof(def_lhs_atom73,axiom,+ ( lhs_atom73+ <=> op(op(e3,e5),e5) = op(e3,op(e5,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_72,plain,+ ( lhs_atom73+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_143,def_lhs_atom73])).++fof(def_lhs_atom74,axiom,+ ( lhs_atom74+ <=> op(op(e3,e5),e4) = op(e3,op(e5,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_73,plain,+ ( lhs_atom74+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_142,def_lhs_atom74])).++fof(def_lhs_atom75,axiom,+ ( lhs_atom75+ <=> op(op(e3,e5),e3) = op(e3,op(e5,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_74,plain,+ ( lhs_atom75+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_141,def_lhs_atom75])).++fof(def_lhs_atom76,axiom,+ ( lhs_atom76+ <=> op(op(e3,e5),e2) = op(e3,op(e5,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_75,plain,+ ( lhs_atom76+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_140,def_lhs_atom76])).++fof(def_lhs_atom77,axiom,+ ( lhs_atom77+ <=> op(op(e3,e5),e1) = op(e3,op(e5,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_76,plain,+ ( lhs_atom77+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_139,def_lhs_atom77])).++fof(def_lhs_atom78,axiom,+ ( lhs_atom78+ <=> op(op(e3,e5),e0) = op(e3,op(e5,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_77,plain,+ ( lhs_atom78+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_138,def_lhs_atom78])).++fof(def_lhs_atom79,axiom,+ ( lhs_atom79+ <=> op(op(e3,e4),e5) = op(e3,op(e4,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_78,plain,+ ( lhs_atom79+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_137,def_lhs_atom79])).++fof(def_lhs_atom80,axiom,+ ( lhs_atom80+ <=> op(op(e3,e4),e4) = op(e3,op(e4,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_79,plain,+ ( lhs_atom80+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_136,def_lhs_atom80])).++fof(def_lhs_atom81,axiom,+ ( lhs_atom81+ <=> op(op(e3,e4),e3) = op(e3,op(e4,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_80,plain,+ ( lhs_atom81+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_135,def_lhs_atom81])).++fof(def_lhs_atom82,axiom,+ ( lhs_atom82+ <=> op(op(e3,e4),e2) = op(e3,op(e4,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_81,plain,+ ( lhs_atom82+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_134,def_lhs_atom82])).++fof(def_lhs_atom83,axiom,+ ( lhs_atom83+ <=> op(op(e3,e4),e1) = op(e3,op(e4,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_82,plain,+ ( lhs_atom83+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_133,def_lhs_atom83])).++fof(def_lhs_atom84,axiom,+ ( lhs_atom84+ <=> op(op(e3,e4),e0) = op(e3,op(e4,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_83,plain,+ ( lhs_atom84+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_132,def_lhs_atom84])).++fof(def_lhs_atom85,axiom,+ ( lhs_atom85+ <=> op(op(e3,e3),e5) = op(e3,op(e3,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_84,plain,+ ( lhs_atom85+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_131,def_lhs_atom85])).++fof(def_lhs_atom86,axiom,+ ( lhs_atom86+ <=> op(op(e3,e3),e4) = op(e3,op(e3,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_85,plain,+ ( lhs_atom86+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_130,def_lhs_atom86])).++fof(def_lhs_atom87,axiom,+ ( lhs_atom87+ <=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_86,plain,+ ( lhs_atom87+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_129,def_lhs_atom87])).++fof(def_lhs_atom88,axiom,+ ( lhs_atom88+ <=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_87,plain,+ ( lhs_atom88+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_128,def_lhs_atom88])).++fof(def_lhs_atom89,axiom,+ ( lhs_atom89+ <=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_88,plain,+ ( lhs_atom89+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_127,def_lhs_atom89])).++fof(def_lhs_atom90,axiom,+ ( lhs_atom90+ <=> op(op(e3,e3),e0) = op(e3,op(e3,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_89,plain,+ ( lhs_atom90+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_126,def_lhs_atom90])).++fof(def_lhs_atom91,axiom,+ ( lhs_atom91+ <=> op(op(e3,e2),e5) = op(e3,op(e2,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_90,plain,+ ( lhs_atom91+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_125,def_lhs_atom91])).++fof(def_lhs_atom92,axiom,+ ( lhs_atom92+ <=> op(op(e3,e2),e4) = op(e3,op(e2,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_91,plain,+ ( lhs_atom92+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_124,def_lhs_atom92])).++fof(def_lhs_atom93,axiom,+ ( lhs_atom93+ <=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_92,plain,+ ( lhs_atom93+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_123,def_lhs_atom93])).++fof(def_lhs_atom94,axiom,+ ( lhs_atom94+ <=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_93,plain,+ ( lhs_atom94+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_122,def_lhs_atom94])).++fof(def_lhs_atom95,axiom,+ ( lhs_atom95+ <=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_94,plain,+ ( lhs_atom95+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_121,def_lhs_atom95])).++fof(def_lhs_atom96,axiom,+ ( lhs_atom96+ <=> op(op(e3,e2),e0) = op(e3,op(e2,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_95,plain,+ ( lhs_atom96+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_120,def_lhs_atom96])).++fof(def_lhs_atom97,axiom,+ ( lhs_atom97+ <=> op(op(e3,e1),e5) = op(e3,op(e1,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_96,plain,+ ( lhs_atom97+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_119,def_lhs_atom97])).++fof(def_lhs_atom98,axiom,+ ( lhs_atom98+ <=> op(op(e3,e1),e4) = op(e3,op(e1,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_97,plain,+ ( lhs_atom98+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_118,def_lhs_atom98])).++fof(def_lhs_atom99,axiom,+ ( lhs_atom99+ <=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_98,plain,+ ( lhs_atom99+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_117,def_lhs_atom99])).++fof(def_lhs_atom100,axiom,+ ( lhs_atom100+ <=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_99,plain,+ ( lhs_atom100+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_116,def_lhs_atom100])).++fof(def_lhs_atom101,axiom,+ ( lhs_atom101+ <=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_100,plain,+ ( lhs_atom101+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_115,def_lhs_atom101])).++fof(def_lhs_atom102,axiom,+ ( lhs_atom102+ <=> op(op(e3,e1),e0) = op(e3,op(e1,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_101,plain,+ ( lhs_atom102+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_114,def_lhs_atom102])).++fof(def_lhs_atom103,axiom,+ ( lhs_atom103+ <=> op(op(e3,e0),e5) = op(e3,op(e0,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_102,plain,+ ( lhs_atom103+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_113,def_lhs_atom103])).++fof(def_lhs_atom104,axiom,+ ( lhs_atom104+ <=> op(op(e3,e0),e4) = op(e3,op(e0,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_103,plain,+ ( lhs_atom104+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_112,def_lhs_atom104])).++fof(def_lhs_atom105,axiom,+ ( lhs_atom105+ <=> op(op(e3,e0),e3) = op(e3,op(e0,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_104,plain,+ ( lhs_atom105+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_111,def_lhs_atom105])).++fof(def_lhs_atom106,axiom,+ ( lhs_atom106+ <=> op(op(e3,e0),e2) = op(e3,op(e0,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_105,plain,+ ( lhs_atom106+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_110,def_lhs_atom106])).++fof(def_lhs_atom107,axiom,+ ( lhs_atom107+ <=> op(op(e3,e0),e1) = op(e3,op(e0,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_106,plain,+ ( lhs_atom107+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_109,def_lhs_atom107])).++fof(def_lhs_atom108,axiom,+ ( lhs_atom108+ <=> op(op(e3,e0),e0) = op(e3,op(e0,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_107,plain,+ ( lhs_atom108+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_108,def_lhs_atom108])).++fof(def_lhs_atom109,axiom,+ ( lhs_atom109+ <=> op(op(e2,e5),e5) = op(e2,op(e5,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_108,plain,+ ( lhs_atom109+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_107,def_lhs_atom109])).++fof(def_lhs_atom110,axiom,+ ( lhs_atom110+ <=> op(op(e2,e5),e4) = op(e2,op(e5,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_109,plain,+ ( lhs_atom110+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_106,def_lhs_atom110])).++fof(def_lhs_atom111,axiom,+ ( lhs_atom111+ <=> op(op(e2,e5),e3) = op(e2,op(e5,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_110,plain,+ ( lhs_atom111+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_105,def_lhs_atom111])).++fof(def_lhs_atom112,axiom,+ ( lhs_atom112+ <=> op(op(e2,e5),e2) = op(e2,op(e5,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_111,plain,+ ( lhs_atom112+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_104,def_lhs_atom112])).++fof(def_lhs_atom113,axiom,+ ( lhs_atom113+ <=> op(op(e2,e5),e1) = op(e2,op(e5,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_112,plain,+ ( lhs_atom113+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_103,def_lhs_atom113])).++fof(def_lhs_atom114,axiom,+ ( lhs_atom114+ <=> op(op(e2,e5),e0) = op(e2,op(e5,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_113,plain,+ ( lhs_atom114+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_102,def_lhs_atom114])).++fof(def_lhs_atom115,axiom,+ ( lhs_atom115+ <=> op(op(e2,e4),e5) = op(e2,op(e4,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_114,plain,+ ( lhs_atom115+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_101,def_lhs_atom115])).++fof(def_lhs_atom116,axiom,+ ( lhs_atom116+ <=> op(op(e2,e4),e4) = op(e2,op(e4,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_115,plain,+ ( lhs_atom116+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_100,def_lhs_atom116])).++fof(def_lhs_atom117,axiom,+ ( lhs_atom117+ <=> op(op(e2,e4),e3) = op(e2,op(e4,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_116,plain,+ ( lhs_atom117+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_99,def_lhs_atom117])).++fof(def_lhs_atom118,axiom,+ ( lhs_atom118+ <=> op(op(e2,e4),e2) = op(e2,op(e4,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_117,plain,+ ( lhs_atom118+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_98,def_lhs_atom118])).++fof(def_lhs_atom119,axiom,+ ( lhs_atom119+ <=> op(op(e2,e4),e1) = op(e2,op(e4,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_118,plain,+ ( lhs_atom119+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_97,def_lhs_atom119])).++fof(def_lhs_atom120,axiom,+ ( lhs_atom120+ <=> op(op(e2,e4),e0) = op(e2,op(e4,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_119,plain,+ ( lhs_atom120+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_96,def_lhs_atom120])).++fof(def_lhs_atom121,axiom,+ ( lhs_atom121+ <=> op(op(e2,e3),e5) = op(e2,op(e3,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_120,plain,+ ( lhs_atom121+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_95,def_lhs_atom121])).++fof(def_lhs_atom122,axiom,+ ( lhs_atom122+ <=> op(op(e2,e3),e4) = op(e2,op(e3,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_121,plain,+ ( lhs_atom122+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_94,def_lhs_atom122])).++fof(def_lhs_atom123,axiom,+ ( lhs_atom123+ <=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_122,plain,+ ( lhs_atom123+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_93,def_lhs_atom123])).++fof(def_lhs_atom124,axiom,+ ( lhs_atom124+ <=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_123,plain,+ ( lhs_atom124+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_92,def_lhs_atom124])).++fof(def_lhs_atom125,axiom,+ ( lhs_atom125+ <=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_124,plain,+ ( lhs_atom125+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_91,def_lhs_atom125])).++fof(def_lhs_atom126,axiom,+ ( lhs_atom126+ <=> op(op(e2,e3),e0) = op(e2,op(e3,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_125,plain,+ ( lhs_atom126+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_90,def_lhs_atom126])).++fof(def_lhs_atom127,axiom,+ ( lhs_atom127+ <=> op(op(e2,e2),e5) = op(e2,op(e2,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_126,plain,+ ( lhs_atom127+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_89,def_lhs_atom127])).++fof(def_lhs_atom128,axiom,+ ( lhs_atom128+ <=> op(op(e2,e2),e4) = op(e2,op(e2,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_127,plain,+ ( lhs_atom128+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_88,def_lhs_atom128])).++fof(def_lhs_atom129,axiom,+ ( lhs_atom129+ <=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_128,plain,+ ( lhs_atom129+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_87,def_lhs_atom129])).++fof(def_lhs_atom130,axiom,+ ( lhs_atom130+ <=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_129,plain,+ ( lhs_atom130+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_86,def_lhs_atom130])).++fof(def_lhs_atom131,axiom,+ ( lhs_atom131+ <=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_130,plain,+ ( lhs_atom131+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_85,def_lhs_atom131])).++fof(def_lhs_atom132,axiom,+ ( lhs_atom132+ <=> op(op(e2,e2),e0) = op(e2,op(e2,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_131,plain,+ ( lhs_atom132+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_84,def_lhs_atom132])).++fof(def_lhs_atom133,axiom,+ ( lhs_atom133+ <=> op(op(e2,e1),e5) = op(e2,op(e1,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_132,plain,+ ( lhs_atom133+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_83,def_lhs_atom133])).++fof(def_lhs_atom134,axiom,+ ( lhs_atom134+ <=> op(op(e2,e1),e4) = op(e2,op(e1,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_133,plain,+ ( lhs_atom134+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_82,def_lhs_atom134])).++fof(def_lhs_atom135,axiom,+ ( lhs_atom135+ <=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_134,plain,+ ( lhs_atom135+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_81,def_lhs_atom135])).++fof(def_lhs_atom136,axiom,+ ( lhs_atom136+ <=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_135,plain,+ ( lhs_atom136+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_80,def_lhs_atom136])).++fof(def_lhs_atom137,axiom,+ ( lhs_atom137+ <=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_136,plain,+ ( lhs_atom137+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_79,def_lhs_atom137])).++fof(def_lhs_atom138,axiom,+ ( lhs_atom138+ <=> op(op(e2,e1),e0) = op(e2,op(e1,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_137,plain,+ ( lhs_atom138+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_78,def_lhs_atom138])).++fof(def_lhs_atom139,axiom,+ ( lhs_atom139+ <=> op(op(e2,e0),e5) = op(e2,op(e0,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_138,plain,+ ( lhs_atom139+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_77,def_lhs_atom139])).++fof(def_lhs_atom140,axiom,+ ( lhs_atom140+ <=> op(op(e2,e0),e4) = op(e2,op(e0,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_139,plain,+ ( lhs_atom140+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_76,def_lhs_atom140])).++fof(def_lhs_atom141,axiom,+ ( lhs_atom141+ <=> op(op(e2,e0),e3) = op(e2,op(e0,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_140,plain,+ ( lhs_atom141+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_75,def_lhs_atom141])).++fof(def_lhs_atom142,axiom,+ ( lhs_atom142+ <=> op(op(e2,e0),e2) = op(e2,op(e0,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_141,plain,+ ( lhs_atom142+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_74,def_lhs_atom142])).++fof(def_lhs_atom143,axiom,+ ( lhs_atom143+ <=> op(op(e2,e0),e1) = op(e2,op(e0,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_142,plain,+ ( lhs_atom143+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_73,def_lhs_atom143])).++fof(def_lhs_atom144,axiom,+ ( lhs_atom144+ <=> op(op(e2,e0),e0) = op(e2,op(e0,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_143,plain,+ ( lhs_atom144+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_72,def_lhs_atom144])).++fof(def_lhs_atom145,axiom,+ ( lhs_atom145+ <=> op(op(e1,e5),e5) = op(e1,op(e5,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_144,plain,+ ( lhs_atom145+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_71,def_lhs_atom145])).++fof(def_lhs_atom146,axiom,+ ( lhs_atom146+ <=> op(op(e1,e5),e4) = op(e1,op(e5,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_145,plain,+ ( lhs_atom146+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_70,def_lhs_atom146])).++fof(def_lhs_atom147,axiom,+ ( lhs_atom147+ <=> op(op(e1,e5),e3) = op(e1,op(e5,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_146,plain,+ ( lhs_atom147+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_69,def_lhs_atom147])).++fof(def_lhs_atom148,axiom,+ ( lhs_atom148+ <=> op(op(e1,e5),e2) = op(e1,op(e5,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_147,plain,+ ( lhs_atom148+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_68,def_lhs_atom148])).++fof(def_lhs_atom149,axiom,+ ( lhs_atom149+ <=> op(op(e1,e5),e1) = op(e1,op(e5,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_148,plain,+ ( lhs_atom149+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_67,def_lhs_atom149])).++fof(def_lhs_atom150,axiom,+ ( lhs_atom150+ <=> op(op(e1,e5),e0) = op(e1,op(e5,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_149,plain,+ ( lhs_atom150+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_66,def_lhs_atom150])).++fof(def_lhs_atom151,axiom,+ ( lhs_atom151+ <=> op(op(e1,e4),e5) = op(e1,op(e4,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_150,plain,+ ( lhs_atom151+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_65,def_lhs_atom151])).++fof(def_lhs_atom152,axiom,+ ( lhs_atom152+ <=> op(op(e1,e4),e4) = op(e1,op(e4,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_151,plain,+ ( lhs_atom152+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_64,def_lhs_atom152])).++fof(def_lhs_atom153,axiom,+ ( lhs_atom153+ <=> op(op(e1,e4),e3) = op(e1,op(e4,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_152,plain,+ ( lhs_atom153+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_63,def_lhs_atom153])).++fof(def_lhs_atom154,axiom,+ ( lhs_atom154+ <=> op(op(e1,e4),e2) = op(e1,op(e4,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_153,plain,+ ( lhs_atom154+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_62,def_lhs_atom154])).++fof(def_lhs_atom155,axiom,+ ( lhs_atom155+ <=> op(op(e1,e4),e1) = op(e1,op(e4,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_154,plain,+ ( lhs_atom155+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_61,def_lhs_atom155])).++fof(def_lhs_atom156,axiom,+ ( lhs_atom156+ <=> op(op(e1,e4),e0) = op(e1,op(e4,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_155,plain,+ ( lhs_atom156+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_60,def_lhs_atom156])).++fof(def_lhs_atom157,axiom,+ ( lhs_atom157+ <=> op(op(e1,e3),e5) = op(e1,op(e3,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_156,plain,+ ( lhs_atom157+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_59,def_lhs_atom157])).++fof(def_lhs_atom158,axiom,+ ( lhs_atom158+ <=> op(op(e1,e3),e4) = op(e1,op(e3,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_157,plain,+ ( lhs_atom158+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_58,def_lhs_atom158])).++fof(def_lhs_atom159,axiom,+ ( lhs_atom159+ <=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_158,plain,+ ( lhs_atom159+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_57,def_lhs_atom159])).++fof(def_lhs_atom160,axiom,+ ( lhs_atom160+ <=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_159,plain,+ ( lhs_atom160+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_56,def_lhs_atom160])).++fof(def_lhs_atom161,axiom,+ ( lhs_atom161+ <=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_160,plain,+ ( lhs_atom161+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_55,def_lhs_atom161])).++fof(def_lhs_atom162,axiom,+ ( lhs_atom162+ <=> op(op(e1,e3),e0) = op(e1,op(e3,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_161,plain,+ ( lhs_atom162+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_54,def_lhs_atom162])).++fof(def_lhs_atom163,axiom,+ ( lhs_atom163+ <=> op(op(e1,e2),e5) = op(e1,op(e2,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_162,plain,+ ( lhs_atom163+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_53,def_lhs_atom163])).++fof(def_lhs_atom164,axiom,+ ( lhs_atom164+ <=> op(op(e1,e2),e4) = op(e1,op(e2,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_163,plain,+ ( lhs_atom164+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_52,def_lhs_atom164])).++fof(def_lhs_atom165,axiom,+ ( lhs_atom165+ <=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_164,plain,+ ( lhs_atom165+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_51,def_lhs_atom165])).++fof(def_lhs_atom166,axiom,+ ( lhs_atom166+ <=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_165,plain,+ ( lhs_atom166+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_50,def_lhs_atom166])).++fof(def_lhs_atom167,axiom,+ ( lhs_atom167+ <=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_166,plain,+ ( lhs_atom167+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_49,def_lhs_atom167])).++fof(def_lhs_atom168,axiom,+ ( lhs_atom168+ <=> op(op(e1,e2),e0) = op(e1,op(e2,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_167,plain,+ ( lhs_atom168+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_48,def_lhs_atom168])).++fof(def_lhs_atom169,axiom,+ ( lhs_atom169+ <=> op(op(e1,e1),e5) = op(e1,op(e1,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_168,plain,+ ( lhs_atom169+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_47,def_lhs_atom169])).++fof(def_lhs_atom170,axiom,+ ( lhs_atom170+ <=> op(op(e1,e1),e4) = op(e1,op(e1,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_169,plain,+ ( lhs_atom170+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_46,def_lhs_atom170])).++fof(def_lhs_atom171,axiom,+ ( lhs_atom171+ <=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_170,plain,+ ( lhs_atom171+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_45,def_lhs_atom171])).++fof(def_lhs_atom172,axiom,+ ( lhs_atom172+ <=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_171,plain,+ ( lhs_atom172+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_44,def_lhs_atom172])).++fof(def_lhs_atom173,axiom,+ ( lhs_atom173+ <=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_172,plain,+ ( lhs_atom173+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_43,def_lhs_atom173])).++fof(def_lhs_atom174,axiom,+ ( lhs_atom174+ <=> op(op(e1,e1),e0) = op(e1,op(e1,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_173,plain,+ ( lhs_atom174+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_42,def_lhs_atom174])).++fof(def_lhs_atom175,axiom,+ ( lhs_atom175+ <=> op(op(e1,e0),e5) = op(e1,op(e0,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_174,plain,+ ( lhs_atom175+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_41,def_lhs_atom175])).++fof(def_lhs_atom176,axiom,+ ( lhs_atom176+ <=> op(op(e1,e0),e4) = op(e1,op(e0,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_175,plain,+ ( lhs_atom176+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_40,def_lhs_atom176])).++fof(def_lhs_atom177,axiom,+ ( lhs_atom177+ <=> op(op(e1,e0),e3) = op(e1,op(e0,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_176,plain,+ ( lhs_atom177+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_39,def_lhs_atom177])).++fof(def_lhs_atom178,axiom,+ ( lhs_atom178+ <=> op(op(e1,e0),e2) = op(e1,op(e0,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_177,plain,+ ( lhs_atom178+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_38,def_lhs_atom178])).++fof(def_lhs_atom179,axiom,+ ( lhs_atom179+ <=> op(op(e1,e0),e1) = op(e1,op(e0,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_178,plain,+ ( lhs_atom179+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_37,def_lhs_atom179])).++fof(def_lhs_atom180,axiom,+ ( lhs_atom180+ <=> op(op(e1,e0),e0) = op(e1,op(e0,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_179,plain,+ ( lhs_atom180+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_36,def_lhs_atom180])).++fof(def_lhs_atom181,axiom,+ ( lhs_atom181+ <=> op(op(e0,e5),e5) = op(e0,op(e5,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_180,plain,+ ( lhs_atom181+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_35,def_lhs_atom181])).++fof(def_lhs_atom182,axiom,+ ( lhs_atom182+ <=> op(op(e0,e5),e4) = op(e0,op(e5,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_181,plain,+ ( lhs_atom182+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_34,def_lhs_atom182])).++fof(def_lhs_atom183,axiom,+ ( lhs_atom183+ <=> op(op(e0,e5),e3) = op(e0,op(e5,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_182,plain,+ ( lhs_atom183+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_33,def_lhs_atom183])).++fof(def_lhs_atom184,axiom,+ ( lhs_atom184+ <=> op(op(e0,e5),e2) = op(e0,op(e5,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_183,plain,+ ( lhs_atom184+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_32,def_lhs_atom184])).++fof(def_lhs_atom185,axiom,+ ( lhs_atom185+ <=> op(op(e0,e5),e1) = op(e0,op(e5,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_184,plain,+ ( lhs_atom185+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_31,def_lhs_atom185])).++fof(def_lhs_atom186,axiom,+ ( lhs_atom186+ <=> op(op(e0,e5),e0) = op(e0,op(e5,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_185,plain,+ ( lhs_atom186+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_30,def_lhs_atom186])).++fof(def_lhs_atom187,axiom,+ ( lhs_atom187+ <=> op(op(e0,e4),e5) = op(e0,op(e4,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_186,plain,+ ( lhs_atom187+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_29,def_lhs_atom187])).++fof(def_lhs_atom188,axiom,+ ( lhs_atom188+ <=> op(op(e0,e4),e4) = op(e0,op(e4,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_187,plain,+ ( lhs_atom188+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_28,def_lhs_atom188])).++fof(def_lhs_atom189,axiom,+ ( lhs_atom189+ <=> op(op(e0,e4),e3) = op(e0,op(e4,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_188,plain,+ ( lhs_atom189+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_27,def_lhs_atom189])).++fof(def_lhs_atom190,axiom,+ ( lhs_atom190+ <=> op(op(e0,e4),e2) = op(e0,op(e4,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_189,plain,+ ( lhs_atom190+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_26,def_lhs_atom190])).++fof(def_lhs_atom191,axiom,+ ( lhs_atom191+ <=> op(op(e0,e4),e1) = op(e0,op(e4,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_190,plain,+ ( lhs_atom191+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_25,def_lhs_atom191])).++fof(def_lhs_atom192,axiom,+ ( lhs_atom192+ <=> op(op(e0,e4),e0) = op(e0,op(e4,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_191,plain,+ ( lhs_atom192+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_24,def_lhs_atom192])).++fof(def_lhs_atom193,axiom,+ ( lhs_atom193+ <=> op(op(e0,e3),e5) = op(e0,op(e3,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_192,plain,+ ( lhs_atom193+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_23,def_lhs_atom193])).++fof(def_lhs_atom194,axiom,+ ( lhs_atom194+ <=> op(op(e0,e3),e4) = op(e0,op(e3,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_193,plain,+ ( lhs_atom194+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_22,def_lhs_atom194])).++fof(def_lhs_atom195,axiom,+ ( lhs_atom195+ <=> op(op(e0,e3),e3) = op(e0,op(e3,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_194,plain,+ ( lhs_atom195+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_21,def_lhs_atom195])).++fof(def_lhs_atom196,axiom,+ ( lhs_atom196+ <=> op(op(e0,e3),e2) = op(e0,op(e3,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_195,plain,+ ( lhs_atom196+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_20,def_lhs_atom196])).++fof(def_lhs_atom197,axiom,+ ( lhs_atom197+ <=> op(op(e0,e3),e1) = op(e0,op(e3,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_196,plain,+ ( lhs_atom197+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_19,def_lhs_atom197])).++fof(def_lhs_atom198,axiom,+ ( lhs_atom198+ <=> op(op(e0,e3),e0) = op(e0,op(e3,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_197,plain,+ ( lhs_atom198+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_18,def_lhs_atom198])).++fof(def_lhs_atom199,axiom,+ ( lhs_atom199+ <=> op(op(e0,e2),e5) = op(e0,op(e2,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_198,plain,+ ( lhs_atom199+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_17,def_lhs_atom199])).++fof(def_lhs_atom200,axiom,+ ( lhs_atom200+ <=> op(op(e0,e2),e4) = op(e0,op(e2,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_199,plain,+ ( lhs_atom200+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_16,def_lhs_atom200])).++fof(def_lhs_atom201,axiom,+ ( lhs_atom201+ <=> op(op(e0,e2),e3) = op(e0,op(e2,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_200,plain,+ ( lhs_atom201+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_15,def_lhs_atom201])).++fof(def_lhs_atom202,axiom,+ ( lhs_atom202+ <=> op(op(e0,e2),e2) = op(e0,op(e2,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_201,plain,+ ( lhs_atom202+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_14,def_lhs_atom202])).++fof(def_lhs_atom203,axiom,+ ( lhs_atom203+ <=> op(op(e0,e2),e1) = op(e0,op(e2,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_202,plain,+ ( lhs_atom203+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_13,def_lhs_atom203])).++fof(def_lhs_atom204,axiom,+ ( lhs_atom204+ <=> op(op(e0,e2),e0) = op(e0,op(e2,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_203,plain,+ ( lhs_atom204+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_12,def_lhs_atom204])).++fof(def_lhs_atom205,axiom,+ ( lhs_atom205+ <=> op(op(e0,e1),e5) = op(e0,op(e1,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_204,plain,+ ( lhs_atom205+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_11,def_lhs_atom205])).++fof(def_lhs_atom206,axiom,+ ( lhs_atom206+ <=> op(op(e0,e1),e4) = op(e0,op(e1,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_205,plain,+ ( lhs_atom206+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_10,def_lhs_atom206])).++fof(def_lhs_atom207,axiom,+ ( lhs_atom207+ <=> op(op(e0,e1),e3) = op(e0,op(e1,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_206,plain,+ ( lhs_atom207+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_9,def_lhs_atom207])).++fof(def_lhs_atom208,axiom,+ ( lhs_atom208+ <=> op(op(e0,e1),e2) = op(e0,op(e1,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_207,plain,+ ( lhs_atom208+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_8,def_lhs_atom208])).++fof(def_lhs_atom209,axiom,+ ( lhs_atom209+ <=> op(op(e0,e1),e1) = op(e0,op(e1,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_208,plain,+ ( lhs_atom209+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_7,def_lhs_atom209])).++fof(def_lhs_atom210,axiom,+ ( lhs_atom210+ <=> op(op(e0,e1),e0) = op(e0,op(e1,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_209,plain,+ ( lhs_atom210+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_6,def_lhs_atom210])).++fof(def_lhs_atom211,axiom,+ ( lhs_atom211+ <=> op(op(e0,e0),e5) = op(e0,op(e0,e5)) ),+ inference(definition,[],[])).++fof(to_be_clausified_210,plain,+ ( lhs_atom211+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_5,def_lhs_atom211])).++fof(def_lhs_atom212,axiom,+ ( lhs_atom212+ <=> op(op(e0,e0),e4) = op(e0,op(e0,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_211,plain,+ ( lhs_atom212+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_4,def_lhs_atom212])).++fof(def_lhs_atom213,axiom,+ ( lhs_atom213+ <=> op(op(e0,e0),e3) = op(e0,op(e0,e3)) ),+ inference(definition,[],[])).++fof(to_be_clausified_212,plain,+ ( lhs_atom213+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_3,def_lhs_atom213])).++fof(def_lhs_atom214,axiom,+ ( lhs_atom214+ <=> op(op(e0,e0),e2) = op(e0,op(e0,e2)) ),+ inference(definition,[],[])).++fof(to_be_clausified_213,plain,+ ( lhs_atom214+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_2,def_lhs_atom214])).++fof(def_lhs_atom215,axiom,+ ( lhs_atom215+ <=> op(op(e0,e0),e1) = op(e0,op(e0,e1)) ),+ inference(definition,[],[])).++fof(to_be_clausified_214,plain,+ ( lhs_atom215+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_1,def_lhs_atom215])).++fof(def_lhs_atom216,axiom,+ ( lhs_atom216+ <=> op(op(e0,e0),e0) = op(e0,op(e0,e0)) ),+ inference(definition,[],[])).++fof(to_be_clausified_215,plain,+ ( lhs_atom216+ | $false ),+ inference(fold_definition,[status(thm)],[ax2_0,def_lhs_atom216])).++fof(def_lhs_atom217,axiom,+ ( lhs_atom217+ <=> inv(unit) = unit ),+ inference(definition,[],[])).++fof(to_be_clausified_216,plain,+ ( lhs_atom217+ | $false ),+ inference(fold_definition,[status(thm)],[ax5_0,def_lhs_atom217])).++fof(def_lhs_atom218,axiom,+ ( lhs_atom218+ <=> inv(inv(e5)) = e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_217,plain,+ ( lhs_atom218+ | $false ),+ inference(fold_definition,[status(thm)],[ax6_5,def_lhs_atom218])).++fof(def_lhs_atom219,axiom,+ ( lhs_atom219+ <=> inv(inv(e4)) = e4 ),+ inference(definition,[],[])).++fof(to_be_clausified_218,plain,+ ( lhs_atom219+ | $false ),+ inference(fold_definition,[status(thm)],[ax6_4,def_lhs_atom219])).++fof(def_lhs_atom220,axiom,+ ( lhs_atom220+ <=> inv(inv(e3)) = e3 ),+ inference(definition,[],[])).++fof(to_be_clausified_219,plain,+ ( lhs_atom220+ | $false ),+ inference(fold_definition,[status(thm)],[ax6_3,def_lhs_atom220])).++fof(def_lhs_atom221,axiom,+ ( lhs_atom221+ <=> inv(inv(e2)) = e2 ),+ inference(definition,[],[])).++fof(to_be_clausified_220,plain,+ ( lhs_atom221+ | $false ),+ inference(fold_definition,[status(thm)],[ax6_2,def_lhs_atom221])).++fof(def_lhs_atom222,axiom,+ ( lhs_atom222+ <=> inv(inv(e1)) = e1 ),+ inference(definition,[],[])).++fof(to_be_clausified_221,plain,+ ( lhs_atom222+ | $false ),+ inference(fold_definition,[status(thm)],[ax6_1,def_lhs_atom222])).++fof(def_lhs_atom223,axiom,+ ( lhs_atom223+ <=> inv(inv(e0)) = e0 ),+ inference(definition,[],[])).++fof(to_be_clausified_222,plain,+ ( lhs_atom223+ | $false ),+ inference(fold_definition,[status(thm)],[ax6_0,def_lhs_atom223])).++fof(def_lhs_atom224,axiom,+ ( lhs_atom224+ <=> inv(e5) != e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_223,plain,+ ( lhs_atom224+ | inv(e5) = e5 ),+ inference(fold_definition,[status(thm)],[ax7_35,def_lhs_atom224])).++fof(def_lhs_atom225,axiom,+ ( lhs_atom225+ <=> inv(e5) != e4 ),+ inference(definition,[],[])).++fof(to_be_clausified_224,plain,+ ( lhs_atom225+ | inv(e4) = e5 ),+ inference(fold_definition,[status(thm)],[ax7_34,def_lhs_atom225])).++fof(def_lhs_atom226,axiom,+ ( lhs_atom226+ <=> inv(e5) != e3 ),+ inference(definition,[],[])).++fof(to_be_clausified_225,plain,+ ( lhs_atom226+ | inv(e3) = e5 ),+ inference(fold_definition,[status(thm)],[ax7_33,def_lhs_atom226])).++fof(def_lhs_atom227,axiom,+ ( lhs_atom227+ <=> inv(e5) != e2 ),+ inference(definition,[],[])).++fof(to_be_clausified_226,plain,+ ( lhs_atom227+ | inv(e2) = e5 ),+ inference(fold_definition,[status(thm)],[ax7_32,def_lhs_atom227])).++fof(def_lhs_atom228,axiom,+ ( lhs_atom228+ <=> inv(e5) != e1 ),+ inference(definition,[],[])).++fof(to_be_clausified_227,plain,+ ( lhs_atom228+ | inv(e1) = e5 ),+ inference(fold_definition,[status(thm)],[ax7_31,def_lhs_atom228])).++fof(def_lhs_atom229,axiom,+ ( lhs_atom229+ <=> inv(e5) != e0 ),+ inference(definition,[],[])).++fof(to_be_clausified_228,plain,+ ( lhs_atom229+ | inv(e0) = e5 ),+ inference(fold_definition,[status(thm)],[ax7_30,def_lhs_atom229])).++fof(def_lhs_atom230,axiom,+ ( lhs_atom230+ <=> inv(e4) != e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_229,plain,+ ( lhs_atom230+ | inv(e5) = e4 ),+ inference(fold_definition,[status(thm)],[ax7_29,def_lhs_atom230])).++fof(def_lhs_atom231,axiom,+ ( lhs_atom231+ <=> inv(e4) != e4 ),+ inference(definition,[],[])).++fof(to_be_clausified_230,plain,+ ( lhs_atom231+ | inv(e4) = e4 ),+ inference(fold_definition,[status(thm)],[ax7_28,def_lhs_atom231])).++fof(def_lhs_atom232,axiom,+ ( lhs_atom232+ <=> inv(e4) != e3 ),+ inference(definition,[],[])).++fof(to_be_clausified_231,plain,+ ( lhs_atom232+ | inv(e3) = e4 ),+ inference(fold_definition,[status(thm)],[ax7_27,def_lhs_atom232])).++fof(def_lhs_atom233,axiom,+ ( lhs_atom233+ <=> inv(e4) != e2 ),+ inference(definition,[],[])).++fof(to_be_clausified_232,plain,+ ( lhs_atom233+ | inv(e2) = e4 ),+ inference(fold_definition,[status(thm)],[ax7_26,def_lhs_atom233])).++fof(def_lhs_atom234,axiom,+ ( lhs_atom234+ <=> inv(e4) != e1 ),+ inference(definition,[],[])).++fof(to_be_clausified_233,plain,+ ( lhs_atom234+ | inv(e1) = e4 ),+ inference(fold_definition,[status(thm)],[ax7_25,def_lhs_atom234])).++fof(def_lhs_atom235,axiom,+ ( lhs_atom235+ <=> inv(e4) != e0 ),+ inference(definition,[],[])).++fof(to_be_clausified_234,plain,+ ( lhs_atom235+ | inv(e0) = e4 ),+ inference(fold_definition,[status(thm)],[ax7_24,def_lhs_atom235])).++fof(def_lhs_atom236,axiom,+ ( lhs_atom236+ <=> inv(e3) != e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_235,plain,+ ( lhs_atom236+ | inv(e5) = e3 ),+ inference(fold_definition,[status(thm)],[ax7_23,def_lhs_atom236])).++fof(def_lhs_atom237,axiom,+ ( lhs_atom237+ <=> inv(e3) != e4 ),+ inference(definition,[],[])).++fof(to_be_clausified_236,plain,+ ( lhs_atom237+ | inv(e4) = e3 ),+ inference(fold_definition,[status(thm)],[ax7_22,def_lhs_atom237])).++fof(def_lhs_atom238,axiom,+ ( lhs_atom238+ <=> inv(e3) != e3 ),+ inference(definition,[],[])).++fof(to_be_clausified_237,plain,+ ( lhs_atom238+ | inv(e3) = e3 ),+ inference(fold_definition,[status(thm)],[ax7_21,def_lhs_atom238])).++fof(def_lhs_atom239,axiom,+ ( lhs_atom239+ <=> inv(e3) != e2 ),+ inference(definition,[],[])).++fof(to_be_clausified_238,plain,+ ( lhs_atom239+ | inv(e2) = e3 ),+ inference(fold_definition,[status(thm)],[ax7_20,def_lhs_atom239])).++fof(def_lhs_atom240,axiom,+ ( lhs_atom240+ <=> inv(e3) != e1 ),+ inference(definition,[],[])).++fof(to_be_clausified_239,plain,+ ( lhs_atom240+ | inv(e1) = e3 ),+ inference(fold_definition,[status(thm)],[ax7_19,def_lhs_atom240])).++fof(def_lhs_atom241,axiom,+ ( lhs_atom241+ <=> inv(e3) != e0 ),+ inference(definition,[],[])).++fof(to_be_clausified_240,plain,+ ( lhs_atom241+ | inv(e0) = e3 ),+ inference(fold_definition,[status(thm)],[ax7_18,def_lhs_atom241])).++fof(def_lhs_atom242,axiom,+ ( lhs_atom242+ <=> inv(e2) != e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_241,plain,+ ( lhs_atom242+ | inv(e5) = e2 ),+ inference(fold_definition,[status(thm)],[ax7_17,def_lhs_atom242])).++fof(def_lhs_atom243,axiom,+ ( lhs_atom243+ <=> inv(e2) != e4 ),+ inference(definition,[],[])).++fof(to_be_clausified_242,plain,+ ( lhs_atom243+ | inv(e4) = e2 ),+ inference(fold_definition,[status(thm)],[ax7_16,def_lhs_atom243])).++fof(def_lhs_atom244,axiom,+ ( lhs_atom244+ <=> inv(e2) != e3 ),+ inference(definition,[],[])).++fof(to_be_clausified_243,plain,+ ( lhs_atom244+ | inv(e3) = e2 ),+ inference(fold_definition,[status(thm)],[ax7_15,def_lhs_atom244])).++fof(def_lhs_atom245,axiom,+ ( lhs_atom245+ <=> inv(e2) != e2 ),+ inference(definition,[],[])).++fof(to_be_clausified_244,plain,+ ( lhs_atom245+ | inv(e2) = e2 ),+ inference(fold_definition,[status(thm)],[ax7_14,def_lhs_atom245])).++fof(def_lhs_atom246,axiom,+ ( lhs_atom246+ <=> inv(e2) != e1 ),+ inference(definition,[],[])).++fof(to_be_clausified_245,plain,+ ( lhs_atom246+ | inv(e1) = e2 ),+ inference(fold_definition,[status(thm)],[ax7_13,def_lhs_atom246])).++fof(def_lhs_atom247,axiom,+ ( lhs_atom247+ <=> inv(e2) != e0 ),+ inference(definition,[],[])).++fof(to_be_clausified_246,plain,+ ( lhs_atom247+ | inv(e0) = e2 ),+ inference(fold_definition,[status(thm)],[ax7_12,def_lhs_atom247])).++fof(def_lhs_atom248,axiom,+ ( lhs_atom248+ <=> inv(e1) != e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_247,plain,+ ( lhs_atom248+ | inv(e5) = e1 ),+ inference(fold_definition,[status(thm)],[ax7_11,def_lhs_atom248])).++fof(def_lhs_atom249,axiom,+ ( lhs_atom249+ <=> inv(e1) != e4 ),+ inference(definition,[],[])).++fof(to_be_clausified_248,plain,+ ( lhs_atom249+ | inv(e4) = e1 ),+ inference(fold_definition,[status(thm)],[ax7_10,def_lhs_atom249])).++fof(def_lhs_atom250,axiom,+ ( lhs_atom250+ <=> inv(e1) != e3 ),+ inference(definition,[],[])).++fof(to_be_clausified_249,plain,+ ( lhs_atom250+ | inv(e3) = e1 ),+ inference(fold_definition,[status(thm)],[ax7_9,def_lhs_atom250])).++fof(def_lhs_atom251,axiom,+ ( lhs_atom251+ <=> inv(e1) != e2 ),+ inference(definition,[],[])).++fof(to_be_clausified_250,plain,+ ( lhs_atom251+ | inv(e2) = e1 ),+ inference(fold_definition,[status(thm)],[ax7_8,def_lhs_atom251])).++fof(def_lhs_atom252,axiom,+ ( lhs_atom252+ <=> inv(e1) != e1 ),+ inference(definition,[],[])).++fof(to_be_clausified_251,plain,+ ( lhs_atom252+ | inv(e1) = e1 ),+ inference(fold_definition,[status(thm)],[ax7_7,def_lhs_atom252])).++fof(def_lhs_atom253,axiom,+ ( lhs_atom253+ <=> inv(e1) != e0 ),+ inference(definition,[],[])).++fof(to_be_clausified_252,plain,+ ( lhs_atom253+ | inv(e0) = e1 ),+ inference(fold_definition,[status(thm)],[ax7_6,def_lhs_atom253])).++fof(def_lhs_atom254,axiom,+ ( lhs_atom254+ <=> inv(e0) != e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_253,plain,+ ( lhs_atom254+ | inv(e5) = e0 ),+ inference(fold_definition,[status(thm)],[ax7_5,def_lhs_atom254])).++fof(def_lhs_atom255,axiom,+ ( lhs_atom255+ <=> inv(e0) != e4 ),+ inference(definition,[],[])).++fof(to_be_clausified_254,plain,+ ( lhs_atom255+ | inv(e4) = e0 ),+ inference(fold_definition,[status(thm)],[ax7_4,def_lhs_atom255])).++fof(def_lhs_atom256,axiom,+ ( lhs_atom256+ <=> inv(e0) != e3 ),+ inference(definition,[],[])).++fof(to_be_clausified_255,plain,+ ( lhs_atom256+ | inv(e3) = e0 ),+ inference(fold_definition,[status(thm)],[ax7_3,def_lhs_atom256])).++fof(def_lhs_atom257,axiom,+ ( lhs_atom257+ <=> inv(e0) != e2 ),+ inference(definition,[],[])).++fof(to_be_clausified_256,plain,+ ( lhs_atom257+ | inv(e2) = e0 ),+ inference(fold_definition,[status(thm)],[ax7_2,def_lhs_atom257])).++fof(def_lhs_atom258,axiom,+ ( lhs_atom258+ <=> inv(e0) != e1 ),+ inference(definition,[],[])).++fof(to_be_clausified_257,plain,+ ( lhs_atom258+ | inv(e1) = e0 ),+ inference(fold_definition,[status(thm)],[ax7_1,def_lhs_atom258])).++fof(def_lhs_atom259,axiom,+ ( lhs_atom259+ <=> inv(e0) != e0 ),+ inference(definition,[],[])).++fof(to_be_clausified_258,plain,+ ( lhs_atom259+ | inv(e0) = e0 ),+ inference(fold_definition,[status(thm)],[ax7_0,def_lhs_atom259])).++fof(def_lhs_atom260,axiom,+ ( lhs_atom260+ <=> inv(e4) != inv(e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_259,plain,+ ( lhs_atom260+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_14,def_lhs_atom260])).++fof(def_lhs_atom261,axiom,+ ( lhs_atom261+ <=> inv(e3) != inv(e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_260,plain,+ ( lhs_atom261+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_13,def_lhs_atom261])).++fof(def_lhs_atom262,axiom,+ ( lhs_atom262+ <=> inv(e3) != inv(e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_261,plain,+ ( lhs_atom262+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_12,def_lhs_atom262])).++fof(def_lhs_atom263,axiom,+ ( lhs_atom263+ <=> inv(e2) != inv(e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_262,plain,+ ( lhs_atom263+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_11,def_lhs_atom263])).++fof(def_lhs_atom264,axiom,+ ( lhs_atom264+ <=> inv(e2) != inv(e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_263,plain,+ ( lhs_atom264+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_10,def_lhs_atom264])).++fof(def_lhs_atom265,axiom,+ ( lhs_atom265+ <=> inv(e2) != inv(e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_264,plain,+ ( lhs_atom265+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_9,def_lhs_atom265])).++fof(def_lhs_atom266,axiom,+ ( lhs_atom266+ <=> inv(e1) != inv(e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_265,plain,+ ( lhs_atom266+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_8,def_lhs_atom266])).++fof(def_lhs_atom267,axiom,+ ( lhs_atom267+ <=> inv(e1) != inv(e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_266,plain,+ ( lhs_atom267+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_7,def_lhs_atom267])).++fof(def_lhs_atom268,axiom,+ ( lhs_atom268+ <=> inv(e1) != inv(e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_267,plain,+ ( lhs_atom268+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_6,def_lhs_atom268])).++fof(def_lhs_atom269,axiom,+ ( lhs_atom269+ <=> inv(e1) != inv(e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_268,plain,+ ( lhs_atom269+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_5,def_lhs_atom269])).++fof(def_lhs_atom270,axiom,+ ( lhs_atom270+ <=> inv(e0) != inv(e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_269,plain,+ ( lhs_atom270+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_4,def_lhs_atom270])).++fof(def_lhs_atom271,axiom,+ ( lhs_atom271+ <=> inv(e0) != inv(e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_270,plain,+ ( lhs_atom271+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_3,def_lhs_atom271])).++fof(def_lhs_atom272,axiom,+ ( lhs_atom272+ <=> inv(e0) != inv(e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_271,plain,+ ( lhs_atom272+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_2,def_lhs_atom272])).++fof(def_lhs_atom273,axiom,+ ( lhs_atom273+ <=> inv(e0) != inv(e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_272,plain,+ ( lhs_atom273+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_1,def_lhs_atom273])).++fof(def_lhs_atom274,axiom,+ ( lhs_atom274+ <=> inv(e0) != inv(e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_273,plain,+ ( lhs_atom274+ | $false ),+ inference(fold_definition,[status(thm)],[ax8_0,def_lhs_atom274])).++fof(def_lhs_atom275,axiom,+ ( lhs_atom275+ <=> op(e5,e4) != op(e5,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_274,plain,+ ( lhs_atom275+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_179,def_lhs_atom275])).++fof(def_lhs_atom276,axiom,+ ( lhs_atom276+ <=> op(e5,e3) != op(e5,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_275,plain,+ ( lhs_atom276+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_178,def_lhs_atom276])).++fof(def_lhs_atom277,axiom,+ ( lhs_atom277+ <=> op(e5,e3) != op(e5,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_276,plain,+ ( lhs_atom277+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_177,def_lhs_atom277])).++fof(def_lhs_atom278,axiom,+ ( lhs_atom278+ <=> op(e5,e2) != op(e5,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_277,plain,+ ( lhs_atom278+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_176,def_lhs_atom278])).++fof(def_lhs_atom279,axiom,+ ( lhs_atom279+ <=> op(e5,e2) != op(e5,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_278,plain,+ ( lhs_atom279+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_175,def_lhs_atom279])).++fof(def_lhs_atom280,axiom,+ ( lhs_atom280+ <=> op(e5,e2) != op(e5,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_279,plain,+ ( lhs_atom280+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_174,def_lhs_atom280])).++fof(def_lhs_atom281,axiom,+ ( lhs_atom281+ <=> op(e5,e1) != op(e5,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_280,plain,+ ( lhs_atom281+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_173,def_lhs_atom281])).++fof(def_lhs_atom282,axiom,+ ( lhs_atom282+ <=> op(e5,e1) != op(e5,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_281,plain,+ ( lhs_atom282+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_172,def_lhs_atom282])).++fof(def_lhs_atom283,axiom,+ ( lhs_atom283+ <=> op(e5,e1) != op(e5,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_282,plain,+ ( lhs_atom283+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_171,def_lhs_atom283])).++fof(def_lhs_atom284,axiom,+ ( lhs_atom284+ <=> op(e5,e1) != op(e5,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_283,plain,+ ( lhs_atom284+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_170,def_lhs_atom284])).++fof(def_lhs_atom285,axiom,+ ( lhs_atom285+ <=> op(e5,e0) != op(e5,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_284,plain,+ ( lhs_atom285+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_169,def_lhs_atom285])).++fof(def_lhs_atom286,axiom,+ ( lhs_atom286+ <=> op(e5,e0) != op(e5,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_285,plain,+ ( lhs_atom286+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_168,def_lhs_atom286])).++fof(def_lhs_atom287,axiom,+ ( lhs_atom287+ <=> op(e5,e0) != op(e5,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_286,plain,+ ( lhs_atom287+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_167,def_lhs_atom287])).++fof(def_lhs_atom288,axiom,+ ( lhs_atom288+ <=> op(e5,e0) != op(e5,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_287,plain,+ ( lhs_atom288+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_166,def_lhs_atom288])).++fof(def_lhs_atom289,axiom,+ ( lhs_atom289+ <=> op(e5,e0) != op(e5,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_288,plain,+ ( lhs_atom289+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_165,def_lhs_atom289])).++fof(def_lhs_atom290,axiom,+ ( lhs_atom290+ <=> op(e4,e4) != op(e4,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_289,plain,+ ( lhs_atom290+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_164,def_lhs_atom290])).++fof(def_lhs_atom291,axiom,+ ( lhs_atom291+ <=> op(e4,e3) != op(e4,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_290,plain,+ ( lhs_atom291+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_163,def_lhs_atom291])).++fof(def_lhs_atom292,axiom,+ ( lhs_atom292+ <=> op(e4,e3) != op(e4,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_291,plain,+ ( lhs_atom292+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_162,def_lhs_atom292])).++fof(def_lhs_atom293,axiom,+ ( lhs_atom293+ <=> op(e4,e2) != op(e4,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_292,plain,+ ( lhs_atom293+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_161,def_lhs_atom293])).++fof(def_lhs_atom294,axiom,+ ( lhs_atom294+ <=> op(e4,e2) != op(e4,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_293,plain,+ ( lhs_atom294+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_160,def_lhs_atom294])).++fof(def_lhs_atom295,axiom,+ ( lhs_atom295+ <=> op(e4,e2) != op(e4,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_294,plain,+ ( lhs_atom295+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_159,def_lhs_atom295])).++fof(def_lhs_atom296,axiom,+ ( lhs_atom296+ <=> op(e4,e1) != op(e4,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_295,plain,+ ( lhs_atom296+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_158,def_lhs_atom296])).++fof(def_lhs_atom297,axiom,+ ( lhs_atom297+ <=> op(e4,e1) != op(e4,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_296,plain,+ ( lhs_atom297+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_157,def_lhs_atom297])).++fof(def_lhs_atom298,axiom,+ ( lhs_atom298+ <=> op(e4,e1) != op(e4,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_297,plain,+ ( lhs_atom298+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_156,def_lhs_atom298])).++fof(def_lhs_atom299,axiom,+ ( lhs_atom299+ <=> op(e4,e1) != op(e4,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_298,plain,+ ( lhs_atom299+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_155,def_lhs_atom299])).++fof(def_lhs_atom300,axiom,+ ( lhs_atom300+ <=> op(e4,e0) != op(e4,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_299,plain,+ ( lhs_atom300+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_154,def_lhs_atom300])).++fof(def_lhs_atom301,axiom,+ ( lhs_atom301+ <=> op(e4,e0) != op(e4,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_300,plain,+ ( lhs_atom301+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_153,def_lhs_atom301])).++fof(def_lhs_atom302,axiom,+ ( lhs_atom302+ <=> op(e4,e0) != op(e4,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_301,plain,+ ( lhs_atom302+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_152,def_lhs_atom302])).++fof(def_lhs_atom303,axiom,+ ( lhs_atom303+ <=> op(e4,e0) != op(e4,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_302,plain,+ ( lhs_atom303+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_151,def_lhs_atom303])).++fof(def_lhs_atom304,axiom,+ ( lhs_atom304+ <=> op(e4,e0) != op(e4,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_303,plain,+ ( lhs_atom304+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_150,def_lhs_atom304])).++fof(def_lhs_atom305,axiom,+ ( lhs_atom305+ <=> op(e3,e4) != op(e3,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_304,plain,+ ( lhs_atom305+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_149,def_lhs_atom305])).++fof(def_lhs_atom306,axiom,+ ( lhs_atom306+ <=> op(e3,e3) != op(e3,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_305,plain,+ ( lhs_atom306+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_148,def_lhs_atom306])).++fof(def_lhs_atom307,axiom,+ ( lhs_atom307+ <=> op(e3,e3) != op(e3,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_306,plain,+ ( lhs_atom307+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_147,def_lhs_atom307])).++fof(def_lhs_atom308,axiom,+ ( lhs_atom308+ <=> op(e3,e2) != op(e3,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_307,plain,+ ( lhs_atom308+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_146,def_lhs_atom308])).++fof(def_lhs_atom309,axiom,+ ( lhs_atom309+ <=> op(e3,e2) != op(e3,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_308,plain,+ ( lhs_atom309+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_145,def_lhs_atom309])).++fof(def_lhs_atom310,axiom,+ ( lhs_atom310+ <=> op(e3,e2) != op(e3,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_309,plain,+ ( lhs_atom310+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_144,def_lhs_atom310])).++fof(def_lhs_atom311,axiom,+ ( lhs_atom311+ <=> op(e3,e1) != op(e3,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_310,plain,+ ( lhs_atom311+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_143,def_lhs_atom311])).++fof(def_lhs_atom312,axiom,+ ( lhs_atom312+ <=> op(e3,e1) != op(e3,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_311,plain,+ ( lhs_atom312+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_142,def_lhs_atom312])).++fof(def_lhs_atom313,axiom,+ ( lhs_atom313+ <=> op(e3,e1) != op(e3,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_312,plain,+ ( lhs_atom313+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_141,def_lhs_atom313])).++fof(def_lhs_atom314,axiom,+ ( lhs_atom314+ <=> op(e3,e1) != op(e3,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_313,plain,+ ( lhs_atom314+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_140,def_lhs_atom314])).++fof(def_lhs_atom315,axiom,+ ( lhs_atom315+ <=> op(e3,e0) != op(e3,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_314,plain,+ ( lhs_atom315+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_139,def_lhs_atom315])).++fof(def_lhs_atom316,axiom,+ ( lhs_atom316+ <=> op(e3,e0) != op(e3,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_315,plain,+ ( lhs_atom316+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_138,def_lhs_atom316])).++fof(def_lhs_atom317,axiom,+ ( lhs_atom317+ <=> op(e3,e0) != op(e3,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_316,plain,+ ( lhs_atom317+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_137,def_lhs_atom317])).++fof(def_lhs_atom318,axiom,+ ( lhs_atom318+ <=> op(e3,e0) != op(e3,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_317,plain,+ ( lhs_atom318+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_136,def_lhs_atom318])).++fof(def_lhs_atom319,axiom,+ ( lhs_atom319+ <=> op(e3,e0) != op(e3,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_318,plain,+ ( lhs_atom319+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_135,def_lhs_atom319])).++fof(def_lhs_atom320,axiom,+ ( lhs_atom320+ <=> op(e2,e4) != op(e2,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_319,plain,+ ( lhs_atom320+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_134,def_lhs_atom320])).++fof(def_lhs_atom321,axiom,+ ( lhs_atom321+ <=> op(e2,e3) != op(e2,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_320,plain,+ ( lhs_atom321+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_133,def_lhs_atom321])).++fof(def_lhs_atom322,axiom,+ ( lhs_atom322+ <=> op(e2,e3) != op(e2,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_321,plain,+ ( lhs_atom322+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_132,def_lhs_atom322])).++fof(def_lhs_atom323,axiom,+ ( lhs_atom323+ <=> op(e2,e2) != op(e2,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_322,plain,+ ( lhs_atom323+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_131,def_lhs_atom323])).++fof(def_lhs_atom324,axiom,+ ( lhs_atom324+ <=> op(e2,e2) != op(e2,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_323,plain,+ ( lhs_atom324+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_130,def_lhs_atom324])).++fof(def_lhs_atom325,axiom,+ ( lhs_atom325+ <=> op(e2,e2) != op(e2,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_324,plain,+ ( lhs_atom325+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_129,def_lhs_atom325])).++fof(def_lhs_atom326,axiom,+ ( lhs_atom326+ <=> op(e2,e1) != op(e2,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_325,plain,+ ( lhs_atom326+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_128,def_lhs_atom326])).++fof(def_lhs_atom327,axiom,+ ( lhs_atom327+ <=> op(e2,e1) != op(e2,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_326,plain,+ ( lhs_atom327+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_127,def_lhs_atom327])).++fof(def_lhs_atom328,axiom,+ ( lhs_atom328+ <=> op(e2,e1) != op(e2,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_327,plain,+ ( lhs_atom328+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_126,def_lhs_atom328])).++fof(def_lhs_atom329,axiom,+ ( lhs_atom329+ <=> op(e2,e1) != op(e2,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_328,plain,+ ( lhs_atom329+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_125,def_lhs_atom329])).++fof(def_lhs_atom330,axiom,+ ( lhs_atom330+ <=> op(e2,e0) != op(e2,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_329,plain,+ ( lhs_atom330+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_124,def_lhs_atom330])).++fof(def_lhs_atom331,axiom,+ ( lhs_atom331+ <=> op(e2,e0) != op(e2,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_330,plain,+ ( lhs_atom331+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_123,def_lhs_atom331])).++fof(def_lhs_atom332,axiom,+ ( lhs_atom332+ <=> op(e2,e0) != op(e2,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_331,plain,+ ( lhs_atom332+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_122,def_lhs_atom332])).++fof(def_lhs_atom333,axiom,+ ( lhs_atom333+ <=> op(e2,e0) != op(e2,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_332,plain,+ ( lhs_atom333+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_121,def_lhs_atom333])).++fof(def_lhs_atom334,axiom,+ ( lhs_atom334+ <=> op(e2,e0) != op(e2,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_333,plain,+ ( lhs_atom334+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_120,def_lhs_atom334])).++fof(def_lhs_atom335,axiom,+ ( lhs_atom335+ <=> op(e1,e4) != op(e1,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_334,plain,+ ( lhs_atom335+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_119,def_lhs_atom335])).++fof(def_lhs_atom336,axiom,+ ( lhs_atom336+ <=> op(e1,e3) != op(e1,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_335,plain,+ ( lhs_atom336+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_118,def_lhs_atom336])).++fof(def_lhs_atom337,axiom,+ ( lhs_atom337+ <=> op(e1,e3) != op(e1,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_336,plain,+ ( lhs_atom337+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_117,def_lhs_atom337])).++fof(def_lhs_atom338,axiom,+ ( lhs_atom338+ <=> op(e1,e2) != op(e1,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_337,plain,+ ( lhs_atom338+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_116,def_lhs_atom338])).++fof(def_lhs_atom339,axiom,+ ( lhs_atom339+ <=> op(e1,e2) != op(e1,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_338,plain,+ ( lhs_atom339+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_115,def_lhs_atom339])).++fof(def_lhs_atom340,axiom,+ ( lhs_atom340+ <=> op(e1,e2) != op(e1,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_339,plain,+ ( lhs_atom340+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_114,def_lhs_atom340])).++fof(def_lhs_atom341,axiom,+ ( lhs_atom341+ <=> op(e1,e1) != op(e1,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_340,plain,+ ( lhs_atom341+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_113,def_lhs_atom341])).++fof(def_lhs_atom342,axiom,+ ( lhs_atom342+ <=> op(e1,e1) != op(e1,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_341,plain,+ ( lhs_atom342+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_112,def_lhs_atom342])).++fof(def_lhs_atom343,axiom,+ ( lhs_atom343+ <=> op(e1,e1) != op(e1,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_342,plain,+ ( lhs_atom343+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_111,def_lhs_atom343])).++fof(def_lhs_atom344,axiom,+ ( lhs_atom344+ <=> op(e1,e1) != op(e1,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_343,plain,+ ( lhs_atom344+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_110,def_lhs_atom344])).++fof(def_lhs_atom345,axiom,+ ( lhs_atom345+ <=> op(e1,e0) != op(e1,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_344,plain,+ ( lhs_atom345+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_109,def_lhs_atom345])).++fof(def_lhs_atom346,axiom,+ ( lhs_atom346+ <=> op(e1,e0) != op(e1,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_345,plain,+ ( lhs_atom346+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_108,def_lhs_atom346])).++fof(def_lhs_atom347,axiom,+ ( lhs_atom347+ <=> op(e1,e0) != op(e1,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_346,plain,+ ( lhs_atom347+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_107,def_lhs_atom347])).++fof(def_lhs_atom348,axiom,+ ( lhs_atom348+ <=> op(e1,e0) != op(e1,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_347,plain,+ ( lhs_atom348+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_106,def_lhs_atom348])).++fof(def_lhs_atom349,axiom,+ ( lhs_atom349+ <=> op(e1,e0) != op(e1,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_348,plain,+ ( lhs_atom349+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_105,def_lhs_atom349])).++fof(def_lhs_atom350,axiom,+ ( lhs_atom350+ <=> op(e0,e4) != op(e0,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_349,plain,+ ( lhs_atom350+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_104,def_lhs_atom350])).++fof(def_lhs_atom351,axiom,+ ( lhs_atom351+ <=> op(e0,e3) != op(e0,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_350,plain,+ ( lhs_atom351+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_103,def_lhs_atom351])).++fof(def_lhs_atom352,axiom,+ ( lhs_atom352+ <=> op(e0,e3) != op(e0,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_351,plain,+ ( lhs_atom352+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_102,def_lhs_atom352])).++fof(def_lhs_atom353,axiom,+ ( lhs_atom353+ <=> op(e0,e2) != op(e0,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_352,plain,+ ( lhs_atom353+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_101,def_lhs_atom353])).++fof(def_lhs_atom354,axiom,+ ( lhs_atom354+ <=> op(e0,e2) != op(e0,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_353,plain,+ ( lhs_atom354+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_100,def_lhs_atom354])).++fof(def_lhs_atom355,axiom,+ ( lhs_atom355+ <=> op(e0,e2) != op(e0,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_354,plain,+ ( lhs_atom355+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_99,def_lhs_atom355])).++fof(def_lhs_atom356,axiom,+ ( lhs_atom356+ <=> op(e0,e1) != op(e0,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_355,plain,+ ( lhs_atom356+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_98,def_lhs_atom356])).++fof(def_lhs_atom357,axiom,+ ( lhs_atom357+ <=> op(e0,e1) != op(e0,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_356,plain,+ ( lhs_atom357+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_97,def_lhs_atom357])).++fof(def_lhs_atom358,axiom,+ ( lhs_atom358+ <=> op(e0,e1) != op(e0,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_357,plain,+ ( lhs_atom358+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_96,def_lhs_atom358])).++fof(def_lhs_atom359,axiom,+ ( lhs_atom359+ <=> op(e0,e1) != op(e0,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_358,plain,+ ( lhs_atom359+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_95,def_lhs_atom359])).++fof(def_lhs_atom360,axiom,+ ( lhs_atom360+ <=> op(e0,e0) != op(e0,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_359,plain,+ ( lhs_atom360+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_94,def_lhs_atom360])).++fof(def_lhs_atom361,axiom,+ ( lhs_atom361+ <=> op(e0,e0) != op(e0,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_360,plain,+ ( lhs_atom361+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_93,def_lhs_atom361])).++fof(def_lhs_atom362,axiom,+ ( lhs_atom362+ <=> op(e0,e0) != op(e0,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_361,plain,+ ( lhs_atom362+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_92,def_lhs_atom362])).++fof(def_lhs_atom363,axiom,+ ( lhs_atom363+ <=> op(e0,e0) != op(e0,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_362,plain,+ ( lhs_atom363+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_91,def_lhs_atom363])).++fof(def_lhs_atom364,axiom,+ ( lhs_atom364+ <=> op(e0,e0) != op(e0,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_363,plain,+ ( lhs_atom364+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_90,def_lhs_atom364])).++fof(def_lhs_atom365,axiom,+ ( lhs_atom365+ <=> op(e4,e5) != op(e5,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_364,plain,+ ( lhs_atom365+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_89,def_lhs_atom365])).++fof(def_lhs_atom366,axiom,+ ( lhs_atom366+ <=> op(e3,e5) != op(e5,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_365,plain,+ ( lhs_atom366+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_88,def_lhs_atom366])).++fof(def_lhs_atom367,axiom,+ ( lhs_atom367+ <=> op(e3,e5) != op(e4,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_366,plain,+ ( lhs_atom367+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_87,def_lhs_atom367])).++fof(def_lhs_atom368,axiom,+ ( lhs_atom368+ <=> op(e2,e5) != op(e5,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_367,plain,+ ( lhs_atom368+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_86,def_lhs_atom368])).++fof(def_lhs_atom369,axiom,+ ( lhs_atom369+ <=> op(e2,e5) != op(e4,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_368,plain,+ ( lhs_atom369+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_85,def_lhs_atom369])).++fof(def_lhs_atom370,axiom,+ ( lhs_atom370+ <=> op(e2,e5) != op(e3,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_369,plain,+ ( lhs_atom370+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_84,def_lhs_atom370])).++fof(def_lhs_atom371,axiom,+ ( lhs_atom371+ <=> op(e1,e5) != op(e5,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_370,plain,+ ( lhs_atom371+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_83,def_lhs_atom371])).++fof(def_lhs_atom372,axiom,+ ( lhs_atom372+ <=> op(e1,e5) != op(e4,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_371,plain,+ ( lhs_atom372+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_82,def_lhs_atom372])).++fof(def_lhs_atom373,axiom,+ ( lhs_atom373+ <=> op(e1,e5) != op(e3,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_372,plain,+ ( lhs_atom373+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_81,def_lhs_atom373])).++fof(def_lhs_atom374,axiom,+ ( lhs_atom374+ <=> op(e1,e5) != op(e2,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_373,plain,+ ( lhs_atom374+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_80,def_lhs_atom374])).++fof(def_lhs_atom375,axiom,+ ( lhs_atom375+ <=> op(e0,e5) != op(e5,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_374,plain,+ ( lhs_atom375+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_79,def_lhs_atom375])).++fof(def_lhs_atom376,axiom,+ ( lhs_atom376+ <=> op(e0,e5) != op(e4,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_375,plain,+ ( lhs_atom376+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_78,def_lhs_atom376])).++fof(def_lhs_atom377,axiom,+ ( lhs_atom377+ <=> op(e0,e5) != op(e3,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_376,plain,+ ( lhs_atom377+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_77,def_lhs_atom377])).++fof(def_lhs_atom378,axiom,+ ( lhs_atom378+ <=> op(e0,e5) != op(e2,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_377,plain,+ ( lhs_atom378+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_76,def_lhs_atom378])).++fof(def_lhs_atom379,axiom,+ ( lhs_atom379+ <=> op(e0,e5) != op(e1,e5) ),+ inference(definition,[],[])).++fof(to_be_clausified_378,plain,+ ( lhs_atom379+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_75,def_lhs_atom379])).++fof(def_lhs_atom380,axiom,+ ( lhs_atom380+ <=> op(e4,e4) != op(e5,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_379,plain,+ ( lhs_atom380+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_74,def_lhs_atom380])).++fof(def_lhs_atom381,axiom,+ ( lhs_atom381+ <=> op(e3,e4) != op(e5,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_380,plain,+ ( lhs_atom381+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_73,def_lhs_atom381])).++fof(def_lhs_atom382,axiom,+ ( lhs_atom382+ <=> op(e3,e4) != op(e4,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_381,plain,+ ( lhs_atom382+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_72,def_lhs_atom382])).++fof(def_lhs_atom383,axiom,+ ( lhs_atom383+ <=> op(e2,e4) != op(e5,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_382,plain,+ ( lhs_atom383+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_71,def_lhs_atom383])).++fof(def_lhs_atom384,axiom,+ ( lhs_atom384+ <=> op(e2,e4) != op(e4,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_383,plain,+ ( lhs_atom384+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_70,def_lhs_atom384])).++fof(def_lhs_atom385,axiom,+ ( lhs_atom385+ <=> op(e2,e4) != op(e3,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_384,plain,+ ( lhs_atom385+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_69,def_lhs_atom385])).++fof(def_lhs_atom386,axiom,+ ( lhs_atom386+ <=> op(e1,e4) != op(e5,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_385,plain,+ ( lhs_atom386+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_68,def_lhs_atom386])).++fof(def_lhs_atom387,axiom,+ ( lhs_atom387+ <=> op(e1,e4) != op(e4,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_386,plain,+ ( lhs_atom387+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_67,def_lhs_atom387])).++fof(def_lhs_atom388,axiom,+ ( lhs_atom388+ <=> op(e1,e4) != op(e3,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_387,plain,+ ( lhs_atom388+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_66,def_lhs_atom388])).++fof(def_lhs_atom389,axiom,+ ( lhs_atom389+ <=> op(e1,e4) != op(e2,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_388,plain,+ ( lhs_atom389+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_65,def_lhs_atom389])).++fof(def_lhs_atom390,axiom,+ ( lhs_atom390+ <=> op(e0,e4) != op(e5,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_389,plain,+ ( lhs_atom390+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_64,def_lhs_atom390])).++fof(def_lhs_atom391,axiom,+ ( lhs_atom391+ <=> op(e0,e4) != op(e4,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_390,plain,+ ( lhs_atom391+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_63,def_lhs_atom391])).++fof(def_lhs_atom392,axiom,+ ( lhs_atom392+ <=> op(e0,e4) != op(e3,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_391,plain,+ ( lhs_atom392+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_62,def_lhs_atom392])).++fof(def_lhs_atom393,axiom,+ ( lhs_atom393+ <=> op(e0,e4) != op(e2,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_392,plain,+ ( lhs_atom393+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_61,def_lhs_atom393])).++fof(def_lhs_atom394,axiom,+ ( lhs_atom394+ <=> op(e0,e4) != op(e1,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_393,plain,+ ( lhs_atom394+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_60,def_lhs_atom394])).++fof(def_lhs_atom395,axiom,+ ( lhs_atom395+ <=> op(e4,e3) != op(e5,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_394,plain,+ ( lhs_atom395+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_59,def_lhs_atom395])).++fof(def_lhs_atom396,axiom,+ ( lhs_atom396+ <=> op(e3,e3) != op(e5,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_395,plain,+ ( lhs_atom396+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_58,def_lhs_atom396])).++fof(def_lhs_atom397,axiom,+ ( lhs_atom397+ <=> op(e3,e3) != op(e4,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_396,plain,+ ( lhs_atom397+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_57,def_lhs_atom397])).++fof(def_lhs_atom398,axiom,+ ( lhs_atom398+ <=> op(e2,e3) != op(e5,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_397,plain,+ ( lhs_atom398+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_56,def_lhs_atom398])).++fof(def_lhs_atom399,axiom,+ ( lhs_atom399+ <=> op(e2,e3) != op(e4,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_398,plain,+ ( lhs_atom399+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_55,def_lhs_atom399])).++fof(def_lhs_atom400,axiom,+ ( lhs_atom400+ <=> op(e2,e3) != op(e3,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_399,plain,+ ( lhs_atom400+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_54,def_lhs_atom400])).++fof(def_lhs_atom401,axiom,+ ( lhs_atom401+ <=> op(e1,e3) != op(e5,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_400,plain,+ ( lhs_atom401+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_53,def_lhs_atom401])).++fof(def_lhs_atom402,axiom,+ ( lhs_atom402+ <=> op(e1,e3) != op(e4,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_401,plain,+ ( lhs_atom402+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_52,def_lhs_atom402])).++fof(def_lhs_atom403,axiom,+ ( lhs_atom403+ <=> op(e1,e3) != op(e3,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_402,plain,+ ( lhs_atom403+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_51,def_lhs_atom403])).++fof(def_lhs_atom404,axiom,+ ( lhs_atom404+ <=> op(e1,e3) != op(e2,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_403,plain,+ ( lhs_atom404+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_50,def_lhs_atom404])).++fof(def_lhs_atom405,axiom,+ ( lhs_atom405+ <=> op(e0,e3) != op(e5,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_404,plain,+ ( lhs_atom405+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_49,def_lhs_atom405])).++fof(def_lhs_atom406,axiom,+ ( lhs_atom406+ <=> op(e0,e3) != op(e4,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_405,plain,+ ( lhs_atom406+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_48,def_lhs_atom406])).++fof(def_lhs_atom407,axiom,+ ( lhs_atom407+ <=> op(e0,e3) != op(e3,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_406,plain,+ ( lhs_atom407+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_47,def_lhs_atom407])).++fof(def_lhs_atom408,axiom,+ ( lhs_atom408+ <=> op(e0,e3) != op(e2,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_407,plain,+ ( lhs_atom408+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_46,def_lhs_atom408])).++fof(def_lhs_atom409,axiom,+ ( lhs_atom409+ <=> op(e0,e3) != op(e1,e3) ),+ inference(definition,[],[])).++fof(to_be_clausified_408,plain,+ ( lhs_atom409+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_45,def_lhs_atom409])).++fof(def_lhs_atom410,axiom,+ ( lhs_atom410+ <=> op(e4,e2) != op(e5,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_409,plain,+ ( lhs_atom410+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_44,def_lhs_atom410])).++fof(def_lhs_atom411,axiom,+ ( lhs_atom411+ <=> op(e3,e2) != op(e5,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_410,plain,+ ( lhs_atom411+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_43,def_lhs_atom411])).++fof(def_lhs_atom412,axiom,+ ( lhs_atom412+ <=> op(e3,e2) != op(e4,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_411,plain,+ ( lhs_atom412+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_42,def_lhs_atom412])).++fof(def_lhs_atom413,axiom,+ ( lhs_atom413+ <=> op(e2,e2) != op(e5,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_412,plain,+ ( lhs_atom413+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_41,def_lhs_atom413])).++fof(def_lhs_atom414,axiom,+ ( lhs_atom414+ <=> op(e2,e2) != op(e4,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_413,plain,+ ( lhs_atom414+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_40,def_lhs_atom414])).++fof(def_lhs_atom415,axiom,+ ( lhs_atom415+ <=> op(e2,e2) != op(e3,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_414,plain,+ ( lhs_atom415+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_39,def_lhs_atom415])).++fof(def_lhs_atom416,axiom,+ ( lhs_atom416+ <=> op(e1,e2) != op(e5,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_415,plain,+ ( lhs_atom416+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_38,def_lhs_atom416])).++fof(def_lhs_atom417,axiom,+ ( lhs_atom417+ <=> op(e1,e2) != op(e4,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_416,plain,+ ( lhs_atom417+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_37,def_lhs_atom417])).++fof(def_lhs_atom418,axiom,+ ( lhs_atom418+ <=> op(e1,e2) != op(e3,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_417,plain,+ ( lhs_atom418+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_36,def_lhs_atom418])).++fof(def_lhs_atom419,axiom,+ ( lhs_atom419+ <=> op(e1,e2) != op(e2,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_418,plain,+ ( lhs_atom419+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_35,def_lhs_atom419])).++fof(def_lhs_atom420,axiom,+ ( lhs_atom420+ <=> op(e0,e2) != op(e5,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_419,plain,+ ( lhs_atom420+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_34,def_lhs_atom420])).++fof(def_lhs_atom421,axiom,+ ( lhs_atom421+ <=> op(e0,e2) != op(e4,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_420,plain,+ ( lhs_atom421+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_33,def_lhs_atom421])).++fof(def_lhs_atom422,axiom,+ ( lhs_atom422+ <=> op(e0,e2) != op(e3,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_421,plain,+ ( lhs_atom422+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_32,def_lhs_atom422])).++fof(def_lhs_atom423,axiom,+ ( lhs_atom423+ <=> op(e0,e2) != op(e2,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_422,plain,+ ( lhs_atom423+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_31,def_lhs_atom423])).++fof(def_lhs_atom424,axiom,+ ( lhs_atom424+ <=> op(e0,e2) != op(e1,e2) ),+ inference(definition,[],[])).++fof(to_be_clausified_423,plain,+ ( lhs_atom424+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_30,def_lhs_atom424])).++fof(def_lhs_atom425,axiom,+ ( lhs_atom425+ <=> op(e4,e1) != op(e5,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_424,plain,+ ( lhs_atom425+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_29,def_lhs_atom425])).++fof(def_lhs_atom426,axiom,+ ( lhs_atom426+ <=> op(e3,e1) != op(e5,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_425,plain,+ ( lhs_atom426+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_28,def_lhs_atom426])).++fof(def_lhs_atom427,axiom,+ ( lhs_atom427+ <=> op(e3,e1) != op(e4,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_426,plain,+ ( lhs_atom427+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_27,def_lhs_atom427])).++fof(def_lhs_atom428,axiom,+ ( lhs_atom428+ <=> op(e2,e1) != op(e5,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_427,plain,+ ( lhs_atom428+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_26,def_lhs_atom428])).++fof(def_lhs_atom429,axiom,+ ( lhs_atom429+ <=> op(e2,e1) != op(e4,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_428,plain,+ ( lhs_atom429+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_25,def_lhs_atom429])).++fof(def_lhs_atom430,axiom,+ ( lhs_atom430+ <=> op(e2,e1) != op(e3,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_429,plain,+ ( lhs_atom430+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_24,def_lhs_atom430])).++fof(def_lhs_atom431,axiom,+ ( lhs_atom431+ <=> op(e1,e1) != op(e5,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_430,plain,+ ( lhs_atom431+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_23,def_lhs_atom431])).++fof(def_lhs_atom432,axiom,+ ( lhs_atom432+ <=> op(e1,e1) != op(e4,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_431,plain,+ ( lhs_atom432+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_22,def_lhs_atom432])).++fof(def_lhs_atom433,axiom,+ ( lhs_atom433+ <=> op(e1,e1) != op(e3,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_432,plain,+ ( lhs_atom433+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_21,def_lhs_atom433])).++fof(def_lhs_atom434,axiom,+ ( lhs_atom434+ <=> op(e1,e1) != op(e2,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_433,plain,+ ( lhs_atom434+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_20,def_lhs_atom434])).++fof(def_lhs_atom435,axiom,+ ( lhs_atom435+ <=> op(e0,e1) != op(e5,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_434,plain,+ ( lhs_atom435+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_19,def_lhs_atom435])).++fof(def_lhs_atom436,axiom,+ ( lhs_atom436+ <=> op(e0,e1) != op(e4,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_435,plain,+ ( lhs_atom436+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_18,def_lhs_atom436])).++fof(def_lhs_atom437,axiom,+ ( lhs_atom437+ <=> op(e0,e1) != op(e3,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_436,plain,+ ( lhs_atom437+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_17,def_lhs_atom437])).++fof(def_lhs_atom438,axiom,+ ( lhs_atom438+ <=> op(e0,e1) != op(e2,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_437,plain,+ ( lhs_atom438+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_16,def_lhs_atom438])).++fof(def_lhs_atom439,axiom,+ ( lhs_atom439+ <=> op(e0,e1) != op(e1,e1) ),+ inference(definition,[],[])).++fof(to_be_clausified_438,plain,+ ( lhs_atom439+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_15,def_lhs_atom439])).++fof(def_lhs_atom440,axiom,+ ( lhs_atom440+ <=> op(e4,e0) != op(e5,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_439,plain,+ ( lhs_atom440+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_14,def_lhs_atom440])).++fof(def_lhs_atom441,axiom,+ ( lhs_atom441+ <=> op(e3,e0) != op(e5,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_440,plain,+ ( lhs_atom441+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_13,def_lhs_atom441])).++fof(def_lhs_atom442,axiom,+ ( lhs_atom442+ <=> op(e3,e0) != op(e4,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_441,plain,+ ( lhs_atom442+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_12,def_lhs_atom442])).++fof(def_lhs_atom443,axiom,+ ( lhs_atom443+ <=> op(e2,e0) != op(e5,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_442,plain,+ ( lhs_atom443+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_11,def_lhs_atom443])).++fof(def_lhs_atom444,axiom,+ ( lhs_atom444+ <=> op(e2,e0) != op(e4,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_443,plain,+ ( lhs_atom444+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_10,def_lhs_atom444])).++fof(def_lhs_atom445,axiom,+ ( lhs_atom445+ <=> op(e2,e0) != op(e3,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_444,plain,+ ( lhs_atom445+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_9,def_lhs_atom445])).++fof(def_lhs_atom446,axiom,+ ( lhs_atom446+ <=> op(e1,e0) != op(e5,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_445,plain,+ ( lhs_atom446+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_8,def_lhs_atom446])).++fof(def_lhs_atom447,axiom,+ ( lhs_atom447+ <=> op(e1,e0) != op(e4,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_446,plain,+ ( lhs_atom447+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_7,def_lhs_atom447])).++fof(def_lhs_atom448,axiom,+ ( lhs_atom448+ <=> op(e1,e0) != op(e3,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_447,plain,+ ( lhs_atom448+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_6,def_lhs_atom448])).++fof(def_lhs_atom449,axiom,+ ( lhs_atom449+ <=> op(e1,e0) != op(e2,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_448,plain,+ ( lhs_atom449+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_5,def_lhs_atom449])).++fof(def_lhs_atom450,axiom,+ ( lhs_atom450+ <=> op(e0,e0) != op(e5,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_449,plain,+ ( lhs_atom450+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_4,def_lhs_atom450])).++fof(def_lhs_atom451,axiom,+ ( lhs_atom451+ <=> op(e0,e0) != op(e4,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_450,plain,+ ( lhs_atom451+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_3,def_lhs_atom451])).++fof(def_lhs_atom452,axiom,+ ( lhs_atom452+ <=> op(e0,e0) != op(e3,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_451,plain,+ ( lhs_atom452+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_2,def_lhs_atom452])).++fof(def_lhs_atom453,axiom,+ ( lhs_atom453+ <=> op(e0,e0) != op(e2,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_452,plain,+ ( lhs_atom453+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_1,def_lhs_atom453])).++fof(def_lhs_atom454,axiom,+ ( lhs_atom454+ <=> op(e0,e0) != op(e1,e0) ),+ inference(definition,[],[])).++fof(to_be_clausified_453,plain,+ ( lhs_atom454+ | $false ),+ inference(fold_definition,[status(thm)],[ax9_0,def_lhs_atom454])).++fof(def_lhs_atom455,axiom,+ ( lhs_atom455+ <=> e4 != e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_454,plain,+ ( lhs_atom455+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_14,def_lhs_atom455])).++fof(def_lhs_atom456,axiom,+ ( lhs_atom456+ <=> e3 != e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_455,plain,+ ( lhs_atom456+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_13,def_lhs_atom456])).++fof(def_lhs_atom457,axiom,+ ( lhs_atom457+ <=> e3 != e4 ),+ inference(definition,[],[])).++fof(to_be_clausified_456,plain,+ ( lhs_atom457+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_12,def_lhs_atom457])).++fof(def_lhs_atom458,axiom,+ ( lhs_atom458+ <=> e2 != e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_457,plain,+ ( lhs_atom458+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_11,def_lhs_atom458])).++fof(def_lhs_atom459,axiom,+ ( lhs_atom459+ <=> e2 != e4 ),+ inference(definition,[],[])).++fof(to_be_clausified_458,plain,+ ( lhs_atom459+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_10,def_lhs_atom459])).++fof(def_lhs_atom460,axiom,+ ( lhs_atom460+ <=> e2 != e3 ),+ inference(definition,[],[])).++fof(to_be_clausified_459,plain,+ ( lhs_atom460+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_9,def_lhs_atom460])).++fof(def_lhs_atom461,axiom,+ ( lhs_atom461+ <=> e1 != e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_460,plain,+ ( lhs_atom461+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_8,def_lhs_atom461])).++fof(def_lhs_atom462,axiom,+ ( lhs_atom462+ <=> e1 != e4 ),+ inference(definition,[],[])).++fof(to_be_clausified_461,plain,+ ( lhs_atom462+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_7,def_lhs_atom462])).++fof(def_lhs_atom463,axiom,+ ( lhs_atom463+ <=> e1 != e3 ),+ inference(definition,[],[])).++fof(to_be_clausified_462,plain,+ ( lhs_atom463+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_6,def_lhs_atom463])).++fof(def_lhs_atom464,axiom,+ ( lhs_atom464+ <=> e1 != e2 ),+ inference(definition,[],[])).++fof(to_be_clausified_463,plain,+ ( lhs_atom464+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_5,def_lhs_atom464])).++fof(def_lhs_atom465,axiom,+ ( lhs_atom465+ <=> e0 != e5 ),+ inference(definition,[],[])).++fof(to_be_clausified_464,plain,+ ( lhs_atom465+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_4,def_lhs_atom465])).++fof(def_lhs_atom466,axiom,+ ( lhs_atom466+ <=> e0 != e4 ),+ inference(definition,[],[])).++fof(to_be_clausified_465,plain,+ ( lhs_atom466+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_3,def_lhs_atom466])).++fof(def_lhs_atom467,axiom,+ ( lhs_atom467+ <=> e0 != e3 ),+ inference(definition,[],[])).++fof(to_be_clausified_466,plain,+ ( lhs_atom467+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_2,def_lhs_atom467])).++fof(def_lhs_atom468,axiom,+ ( lhs_atom468+ <=> e0 != e2 ),+ inference(definition,[],[])).++fof(to_be_clausified_467,plain,+ ( lhs_atom468+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_1,def_lhs_atom468])).++fof(def_lhs_atom469,axiom,+ ( lhs_atom469+ <=> e0 != e1 ),+ inference(definition,[],[])).++fof(to_be_clausified_468,plain,+ ( lhs_atom469+ | $false ),+ inference(fold_definition,[status(thm)],[ax10_0,def_lhs_atom469])).++fof(def_lhs_atom470,axiom,+ ( lhs_atom470+ <=> e5 = op(op(op(op(e4,e4),e4),e4),e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_469,plain,+ ( lhs_atom470+ | $false ),+ inference(fold_definition,[status(thm)],[ax11_4,def_lhs_atom470])).++fof(def_lhs_atom471,axiom,+ ( lhs_atom471+ <=> e3 = op(e4,e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_470,plain,+ ( lhs_atom471+ | $false ),+ inference(fold_definition,[status(thm)],[ax11_3,def_lhs_atom471])).++fof(def_lhs_atom472,axiom,+ ( lhs_atom472+ <=> e2 = op(op(op(e4,e4),e4),e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_471,plain,+ ( lhs_atom472+ | $false ),+ inference(fold_definition,[status(thm)],[ax11_2,def_lhs_atom472])).++fof(def_lhs_atom473,axiom,+ ( lhs_atom473+ <=> e1 = op(op(e4,e4),e4) ),+ inference(definition,[],[])).++fof(to_be_clausified_472,plain,+ ( lhs_atom473+ | $false ),+ inference(fold_definition,[status(thm)],[ax11_1,def_lhs_atom473])).++fof(def_lhs_atom474,axiom,+ ( lhs_atom474+ <=> e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),+ inference(definition,[],[])).++fof(to_be_clausified_473,plain,+ ( lhs_atom474+ | $false ),+ inference(fold_definition,[status(thm)],[ax11_0,def_lhs_atom474])).++% Start CNF derivation+fof(c_0_0,axiom,+ ( lhs_atom259+ | inv(e0) = e0 ),+ file('<stdin>',to_be_clausified_258)).++fof(c_0_1,axiom,+ ( lhs_atom258+ | inv(e1) = e0 ),+ file('<stdin>',to_be_clausified_257)).++fof(c_0_2,axiom,+ ( lhs_atom257+ | inv(e2) = e0 ),+ file('<stdin>',to_be_clausified_256)).++fof(c_0_3,axiom,+ ( lhs_atom256+ | inv(e3) = e0 ),+ file('<stdin>',to_be_clausified_255)).++fof(c_0_4,axiom,+ ( lhs_atom255+ | inv(e4) = e0 ),+ file('<stdin>',to_be_clausified_254)).++fof(c_0_5,axiom,+ ( lhs_atom254+ | inv(e5) = e0 ),+ file('<stdin>',to_be_clausified_253)).++fof(c_0_6,axiom,+ ( lhs_atom253+ | inv(e0) = e1 ),+ file('<stdin>',to_be_clausified_252)).++fof(c_0_7,axiom,+ ( lhs_atom252+ | inv(e1) = e1 ),+ file('<stdin>',to_be_clausified_251)).++fof(c_0_8,axiom,+ ( lhs_atom251+ | inv(e2) = e1 ),+ file('<stdin>',to_be_clausified_250)).++fof(c_0_9,axiom,+ ( lhs_atom250+ | inv(e3) = e1 ),+ file('<stdin>',to_be_clausified_249)).++fof(c_0_10,axiom,+ ( lhs_atom249+ | inv(e4) = e1 ),+ file('<stdin>',to_be_clausified_248)).++fof(c_0_11,axiom,+ ( lhs_atom248+ | inv(e5) = e1 ),+ file('<stdin>',to_be_clausified_247)).++fof(c_0_12,axiom,+ ( lhs_atom247+ | inv(e0) = e2 ),+ file('<stdin>',to_be_clausified_246)).++fof(c_0_13,axiom,+ ( lhs_atom246+ | inv(e1) = e2 ),+ file('<stdin>',to_be_clausified_245)).++fof(c_0_14,axiom,+ ( lhs_atom245+ | inv(e2) = e2 ),+ file('<stdin>',to_be_clausified_244)).++fof(c_0_15,axiom,+ ( lhs_atom244+ | inv(e3) = e2 ),+ file('<stdin>',to_be_clausified_243)).++fof(c_0_16,axiom,+ ( lhs_atom243+ | inv(e4) = e2 ),+ file('<stdin>',to_be_clausified_242)).++fof(c_0_17,axiom,+ ( lhs_atom242+ | inv(e5) = e2 ),+ file('<stdin>',to_be_clausified_241)).++fof(c_0_18,axiom,+ ( lhs_atom241+ | inv(e0) = e3 ),+ file('<stdin>',to_be_clausified_240)).++fof(c_0_19,axiom,+ ( lhs_atom240+ | inv(e1) = e3 ),+ file('<stdin>',to_be_clausified_239)).++fof(c_0_20,axiom,+ ( lhs_atom239+ | inv(e2) = e3 ),+ file('<stdin>',to_be_clausified_238)).++fof(c_0_21,axiom,+ ( lhs_atom238+ | inv(e3) = e3 ),+ file('<stdin>',to_be_clausified_237)).++fof(c_0_22,axiom,+ ( lhs_atom237+ | inv(e4) = e3 ),+ file('<stdin>',to_be_clausified_236)).++fof(c_0_23,axiom,+ ( lhs_atom236+ | inv(e5) = e3 ),+ file('<stdin>',to_be_clausified_235)).++fof(c_0_24,axiom,+ ( lhs_atom235+ | inv(e0) = e4 ),+ file('<stdin>',to_be_clausified_234)).++fof(c_0_25,axiom,+ ( lhs_atom234+ | inv(e1) = e4 ),+ file('<stdin>',to_be_clausified_233)).++fof(c_0_26,axiom,+ ( lhs_atom233+ | inv(e2) = e4 ),+ file('<stdin>',to_be_clausified_232)).++fof(c_0_27,axiom,+ ( lhs_atom232+ | inv(e3) = e4 ),+ file('<stdin>',to_be_clausified_231)).++fof(c_0_28,axiom,+ ( lhs_atom231+ | inv(e4) = e4 ),+ file('<stdin>',to_be_clausified_230)).++fof(c_0_29,axiom,+ ( lhs_atom230+ | inv(e5) = e4 ),+ file('<stdin>',to_be_clausified_229)).++fof(c_0_30,axiom,+ ( lhs_atom229+ | inv(e0) = e5 ),+ file('<stdin>',to_be_clausified_228)).++fof(c_0_31,axiom,+ ( lhs_atom228+ | inv(e1) = e5 ),+ file('<stdin>',to_be_clausified_227)).++fof(c_0_32,axiom,+ ( lhs_atom227+ | inv(e2) = e5 ),+ file('<stdin>',to_be_clausified_226)).++fof(c_0_33,axiom,+ ( lhs_atom226+ | inv(e3) = e5 ),+ file('<stdin>',to_be_clausified_225)).++fof(c_0_34,axiom,+ ( lhs_atom225+ | inv(e4) = e5 ),+ file('<stdin>',to_be_clausified_224)).++fof(c_0_35,axiom,+ ( lhs_atom224+ | inv(e5) = e5 ),+ file('<stdin>',to_be_clausified_223)).++fof(c_0_36,axiom,+ ( lhs_atom474+ | ~ $true ),+ file('<stdin>',to_be_clausified_473)).++fof(c_0_37,axiom,+ ( lhs_atom473+ | ~ $true ),+ file('<stdin>',to_be_clausified_472)).++fof(c_0_38,axiom,+ ( lhs_atom472+ | ~ $true ),+ file('<stdin>',to_be_clausified_471)).++fof(c_0_39,axiom,+ ( lhs_atom471+ | ~ $true ),+ file('<stdin>',to_be_clausified_470)).++fof(c_0_40,axiom,+ ( lhs_atom470+ | ~ $true ),+ file('<stdin>',to_be_clausified_469)).++fof(c_0_41,axiom,+ ( lhs_atom469+ | ~ $true ),+ file('<stdin>',to_be_clausified_468)).++fof(c_0_42,axiom,+ ( lhs_atom468+ | ~ $true ),+ file('<stdin>',to_be_clausified_467)).++fof(c_0_43,axiom,+ ( lhs_atom467+ | ~ $true ),+ file('<stdin>',to_be_clausified_466)).++fof(c_0_44,axiom,+ ( lhs_atom466+ | ~ $true ),+ file('<stdin>',to_be_clausified_465)).++fof(c_0_45,axiom,+ ( lhs_atom465+ | ~ $true ),+ file('<stdin>',to_be_clausified_464)).++fof(c_0_46,axiom,+ ( lhs_atom464+ | ~ $true ),+ file('<stdin>',to_be_clausified_463)).++fof(c_0_47,axiom,+ ( lhs_atom463+ | ~ $true ),+ file('<stdin>',to_be_clausified_462)).++fof(c_0_48,axiom,+ ( lhs_atom462+ | ~ $true ),+ file('<stdin>',to_be_clausified_461)).++fof(c_0_49,axiom,+ ( lhs_atom461+ | ~ $true ),+ file('<stdin>',to_be_clausified_460)).++fof(c_0_50,axiom,+ ( lhs_atom460+ | ~ $true ),+ file('<stdin>',to_be_clausified_459)).++fof(c_0_51,axiom,+ ( lhs_atom459+ | ~ $true ),+ file('<stdin>',to_be_clausified_458)).++fof(c_0_52,axiom,+ ( lhs_atom458+ | ~ $true ),+ file('<stdin>',to_be_clausified_457)).++fof(c_0_53,axiom,+ ( lhs_atom457+ | ~ $true ),+ file('<stdin>',to_be_clausified_456)).++fof(c_0_54,axiom,+ ( lhs_atom456+ | ~ $true ),+ file('<stdin>',to_be_clausified_455)).++fof(c_0_55,axiom,+ ( lhs_atom455+ | ~ $true ),+ file('<stdin>',to_be_clausified_454)).++fof(c_0_56,axiom,+ ( lhs_atom454+ | ~ $true ),+ file('<stdin>',to_be_clausified_453)).++fof(c_0_57,axiom,+ ( lhs_atom453+ | ~ $true ),+ file('<stdin>',to_be_clausified_452)).++fof(c_0_58,axiom,+ ( lhs_atom452+ | ~ $true ),+ file('<stdin>',to_be_clausified_451)).++fof(c_0_59,axiom,+ ( lhs_atom451+ | ~ $true ),+ file('<stdin>',to_be_clausified_450)).++fof(c_0_60,axiom,+ ( lhs_atom450+ | ~ $true ),+ file('<stdin>',to_be_clausified_449)).++fof(c_0_61,axiom,+ ( lhs_atom449+ | ~ $true ),+ file('<stdin>',to_be_clausified_448)).++fof(c_0_62,axiom,+ ( lhs_atom448+ | ~ $true ),+ file('<stdin>',to_be_clausified_447)).++fof(c_0_63,axiom,+ ( lhs_atom447+ | ~ $true ),+ file('<stdin>',to_be_clausified_446)).++fof(c_0_64,axiom,+ ( lhs_atom446+ | ~ $true ),+ file('<stdin>',to_be_clausified_445)).++fof(c_0_65,axiom,+ ( lhs_atom445+ | ~ $true ),+ file('<stdin>',to_be_clausified_444)).++fof(c_0_66,axiom,+ ( lhs_atom444+ | ~ $true ),+ file('<stdin>',to_be_clausified_443)).++fof(c_0_67,axiom,+ ( lhs_atom443+ | ~ $true ),+ file('<stdin>',to_be_clausified_442)).++fof(c_0_68,axiom,+ ( lhs_atom442+ | ~ $true ),+ file('<stdin>',to_be_clausified_441)).++fof(c_0_69,axiom,+ ( lhs_atom441+ | ~ $true ),+ file('<stdin>',to_be_clausified_440)).++fof(c_0_70,axiom,+ ( lhs_atom440+ | ~ $true ),+ file('<stdin>',to_be_clausified_439)).++fof(c_0_71,axiom,+ ( lhs_atom439+ | ~ $true ),+ file('<stdin>',to_be_clausified_438)).++fof(c_0_72,axiom,+ ( lhs_atom438+ | ~ $true ),+ file('<stdin>',to_be_clausified_437)).++fof(c_0_73,axiom,+ ( lhs_atom437+ | ~ $true ),+ file('<stdin>',to_be_clausified_436)).++fof(c_0_74,axiom,+ ( lhs_atom436+ | ~ $true ),+ file('<stdin>',to_be_clausified_435)).++fof(c_0_75,axiom,+ ( lhs_atom435+ | ~ $true ),+ file('<stdin>',to_be_clausified_434)).++fof(c_0_76,axiom,+ ( lhs_atom434+ | ~ $true ),+ file('<stdin>',to_be_clausified_433)).++fof(c_0_77,axiom,+ ( lhs_atom433+ | ~ $true ),+ file('<stdin>',to_be_clausified_432)).++fof(c_0_78,axiom,+ ( lhs_atom432+ | ~ $true ),+ file('<stdin>',to_be_clausified_431)).++fof(c_0_79,axiom,+ ( lhs_atom431+ | ~ $true ),+ file('<stdin>',to_be_clausified_430)).++fof(c_0_80,axiom,+ ( lhs_atom430+ | ~ $true ),+ file('<stdin>',to_be_clausified_429)).++fof(c_0_81,axiom,+ ( lhs_atom429+ | ~ $true ),+ file('<stdin>',to_be_clausified_428)).++fof(c_0_82,axiom,+ ( lhs_atom428+ | ~ $true ),+ file('<stdin>',to_be_clausified_427)).++fof(c_0_83,axiom,+ ( lhs_atom427+ | ~ $true ),+ file('<stdin>',to_be_clausified_426)).++fof(c_0_84,axiom,+ ( lhs_atom426+ | ~ $true ),+ file('<stdin>',to_be_clausified_425)).++fof(c_0_85,axiom,+ ( lhs_atom425+ | ~ $true ),+ file('<stdin>',to_be_clausified_424)).++fof(c_0_86,axiom,+ ( lhs_atom424+ | ~ $true ),+ file('<stdin>',to_be_clausified_423)).++fof(c_0_87,axiom,+ ( lhs_atom423+ | ~ $true ),+ file('<stdin>',to_be_clausified_422)).++fof(c_0_88,axiom,+ ( lhs_atom422+ | ~ $true ),+ file('<stdin>',to_be_clausified_421)).++fof(c_0_89,axiom,+ ( lhs_atom421+ | ~ $true ),+ file('<stdin>',to_be_clausified_420)).++fof(c_0_90,axiom,+ ( lhs_atom420+ | ~ $true ),+ file('<stdin>',to_be_clausified_419)).++fof(c_0_91,axiom,+ ( lhs_atom419+ | ~ $true ),+ file('<stdin>',to_be_clausified_418)).++fof(c_0_92,axiom,+ ( lhs_atom418+ | ~ $true ),+ file('<stdin>',to_be_clausified_417)).++fof(c_0_93,axiom,+ ( lhs_atom417+ | ~ $true ),+ file('<stdin>',to_be_clausified_416)).++fof(c_0_94,axiom,+ ( lhs_atom416+ | ~ $true ),+ file('<stdin>',to_be_clausified_415)).++fof(c_0_95,axiom,+ ( lhs_atom415+ | ~ $true ),+ file('<stdin>',to_be_clausified_414)).++fof(c_0_96,axiom,+ ( lhs_atom414+ | ~ $true ),+ file('<stdin>',to_be_clausified_413)).++fof(c_0_97,axiom,+ ( lhs_atom413+ | ~ $true ),+ file('<stdin>',to_be_clausified_412)).++fof(c_0_98,axiom,+ ( lhs_atom412+ | ~ $true ),+ file('<stdin>',to_be_clausified_411)).++fof(c_0_99,axiom,+ ( lhs_atom411+ | ~ $true ),+ file('<stdin>',to_be_clausified_410)).++fof(c_0_100,axiom,+ ( lhs_atom410+ | ~ $true ),+ file('<stdin>',to_be_clausified_409)).++fof(c_0_101,axiom,+ ( lhs_atom409+ | ~ $true ),+ file('<stdin>',to_be_clausified_408)).++fof(c_0_102,axiom,+ ( lhs_atom408+ | ~ $true ),+ file('<stdin>',to_be_clausified_407)).++fof(c_0_103,axiom,+ ( lhs_atom407+ | ~ $true ),+ file('<stdin>',to_be_clausified_406)).++fof(c_0_104,axiom,+ ( lhs_atom406+ | ~ $true ),+ file('<stdin>',to_be_clausified_405)).++fof(c_0_105,axiom,+ ( lhs_atom405+ | ~ $true ),+ file('<stdin>',to_be_clausified_404)).++fof(c_0_106,axiom,+ ( lhs_atom404+ | ~ $true ),+ file('<stdin>',to_be_clausified_403)).++fof(c_0_107,axiom,+ ( lhs_atom403+ | ~ $true ),+ file('<stdin>',to_be_clausified_402)).++fof(c_0_108,axiom,+ ( lhs_atom402+ | ~ $true ),+ file('<stdin>',to_be_clausified_401)).++fof(c_0_109,axiom,+ ( lhs_atom401+ | ~ $true ),+ file('<stdin>',to_be_clausified_400)).++fof(c_0_110,axiom,+ ( lhs_atom400+ | ~ $true ),+ file('<stdin>',to_be_clausified_399)).++fof(c_0_111,axiom,+ ( lhs_atom399+ | ~ $true ),+ file('<stdin>',to_be_clausified_398)).++fof(c_0_112,axiom,+ ( lhs_atom398+ | ~ $true ),+ file('<stdin>',to_be_clausified_397)).++fof(c_0_113,axiom,+ ( lhs_atom397+ | ~ $true ),+ file('<stdin>',to_be_clausified_396)).++fof(c_0_114,axiom,+ ( lhs_atom396+ | ~ $true ),+ file('<stdin>',to_be_clausified_395)).++fof(c_0_115,axiom,+ ( lhs_atom395+ | ~ $true ),+ file('<stdin>',to_be_clausified_394)).++fof(c_0_116,axiom,+ ( lhs_atom394+ | ~ $true ),+ file('<stdin>',to_be_clausified_393)).++fof(c_0_117,axiom,+ ( lhs_atom393+ | ~ $true ),+ file('<stdin>',to_be_clausified_392)).++fof(c_0_118,axiom,+ ( lhs_atom392+ | ~ $true ),+ file('<stdin>',to_be_clausified_391)).++fof(c_0_119,axiom,+ ( lhs_atom391+ | ~ $true ),+ file('<stdin>',to_be_clausified_390)).++fof(c_0_120,axiom,+ ( lhs_atom390+ | ~ $true ),+ file('<stdin>',to_be_clausified_389)).++fof(c_0_121,axiom,+ ( lhs_atom389+ | ~ $true ),+ file('<stdin>',to_be_clausified_388)).++fof(c_0_122,axiom,+ ( lhs_atom388+ | ~ $true ),+ file('<stdin>',to_be_clausified_387)).++fof(c_0_123,axiom,+ ( lhs_atom387+ | ~ $true ),+ file('<stdin>',to_be_clausified_386)).++fof(c_0_124,axiom,+ ( lhs_atom386+ | ~ $true ),+ file('<stdin>',to_be_clausified_385)).++fof(c_0_125,axiom,+ ( lhs_atom385+ | ~ $true ),+ file('<stdin>',to_be_clausified_384)).++fof(c_0_126,axiom,+ ( lhs_atom384+ | ~ $true ),+ file('<stdin>',to_be_clausified_383)).++fof(c_0_127,axiom,+ ( lhs_atom383+ | ~ $true ),+ file('<stdin>',to_be_clausified_382)).++fof(c_0_128,axiom,+ ( lhs_atom382+ | ~ $true ),+ file('<stdin>',to_be_clausified_381)).++fof(c_0_129,axiom,+ ( lhs_atom381+ | ~ $true ),+ file('<stdin>',to_be_clausified_380)).++fof(c_0_130,axiom,+ ( lhs_atom380+ | ~ $true ),+ file('<stdin>',to_be_clausified_379)).++fof(c_0_131,axiom,+ ( lhs_atom379+ | ~ $true ),+ file('<stdin>',to_be_clausified_378)).++fof(c_0_132,axiom,+ ( lhs_atom378+ | ~ $true ),+ file('<stdin>',to_be_clausified_377)).++fof(c_0_133,axiom,+ ( lhs_atom377+ | ~ $true ),+ file('<stdin>',to_be_clausified_376)).++fof(c_0_134,axiom,+ ( lhs_atom376+ | ~ $true ),+ file('<stdin>',to_be_clausified_375)).++fof(c_0_135,axiom,+ ( lhs_atom375+ | ~ $true ),+ file('<stdin>',to_be_clausified_374)).++fof(c_0_136,axiom,+ ( lhs_atom374+ | ~ $true ),+ file('<stdin>',to_be_clausified_373)).++fof(c_0_137,axiom,+ ( lhs_atom373+ | ~ $true ),+ file('<stdin>',to_be_clausified_372)).++fof(c_0_138,axiom,+ ( lhs_atom372+ | ~ $true ),+ file('<stdin>',to_be_clausified_371)).++fof(c_0_139,axiom,+ ( lhs_atom371+ | ~ $true ),+ file('<stdin>',to_be_clausified_370)).++fof(c_0_140,axiom,+ ( lhs_atom370+ | ~ $true ),+ file('<stdin>',to_be_clausified_369)).++fof(c_0_141,axiom,+ ( lhs_atom369+ | ~ $true ),+ file('<stdin>',to_be_clausified_368)).++fof(c_0_142,axiom,+ ( lhs_atom368+ | ~ $true ),+ file('<stdin>',to_be_clausified_367)).++fof(c_0_143,axiom,+ ( lhs_atom367+ | ~ $true ),+ file('<stdin>',to_be_clausified_366)).++fof(c_0_144,axiom,+ ( lhs_atom366+ | ~ $true ),+ file('<stdin>',to_be_clausified_365)).++fof(c_0_145,axiom,+ ( lhs_atom365+ | ~ $true ),+ file('<stdin>',to_be_clausified_364)).++fof(c_0_146,axiom,+ ( lhs_atom364+ | ~ $true ),+ file('<stdin>',to_be_clausified_363)).++fof(c_0_147,axiom,+ ( lhs_atom363+ | ~ $true ),+ file('<stdin>',to_be_clausified_362)).++fof(c_0_148,axiom,+ ( lhs_atom362+ | ~ $true ),+ file('<stdin>',to_be_clausified_361)).++fof(c_0_149,axiom,+ ( lhs_atom361+ | ~ $true ),+ file('<stdin>',to_be_clausified_360)).++fof(c_0_150,axiom,+ ( lhs_atom360+ | ~ $true ),+ file('<stdin>',to_be_clausified_359)).++fof(c_0_151,axiom,+ ( lhs_atom359+ | ~ $true ),+ file('<stdin>',to_be_clausified_358)).++fof(c_0_152,axiom,+ ( lhs_atom358+ | ~ $true ),+ file('<stdin>',to_be_clausified_357)).++fof(c_0_153,axiom,+ ( lhs_atom357+ | ~ $true ),+ file('<stdin>',to_be_clausified_356)).++fof(c_0_154,axiom,+ ( lhs_atom356+ | ~ $true ),+ file('<stdin>',to_be_clausified_355)).++fof(c_0_155,axiom,+ ( lhs_atom355+ | ~ $true ),+ file('<stdin>',to_be_clausified_354)).++fof(c_0_156,axiom,+ ( lhs_atom354+ | ~ $true ),+ file('<stdin>',to_be_clausified_353)).++fof(c_0_157,axiom,+ ( lhs_atom353+ | ~ $true ),+ file('<stdin>',to_be_clausified_352)).++fof(c_0_158,axiom,+ ( lhs_atom352+ | ~ $true ),+ file('<stdin>',to_be_clausified_351)).++fof(c_0_159,axiom,+ ( lhs_atom351+ | ~ $true ),+ file('<stdin>',to_be_clausified_350)).++fof(c_0_160,axiom,+ ( lhs_atom350+ | ~ $true ),+ file('<stdin>',to_be_clausified_349)).++fof(c_0_161,axiom,+ ( lhs_atom349+ | ~ $true ),+ file('<stdin>',to_be_clausified_348)).++fof(c_0_162,axiom,+ ( lhs_atom348+ | ~ $true ),+ file('<stdin>',to_be_clausified_347)).++fof(c_0_163,axiom,+ ( lhs_atom347+ | ~ $true ),+ file('<stdin>',to_be_clausified_346)).++fof(c_0_164,axiom,+ ( lhs_atom346+ | ~ $true ),+ file('<stdin>',to_be_clausified_345)).++fof(c_0_165,axiom,+ ( lhs_atom345+ | ~ $true ),+ file('<stdin>',to_be_clausified_344)).++fof(c_0_166,axiom,+ ( lhs_atom344+ | ~ $true ),+ file('<stdin>',to_be_clausified_343)).++fof(c_0_167,axiom,+ ( lhs_atom343+ | ~ $true ),+ file('<stdin>',to_be_clausified_342)).++fof(c_0_168,axiom,+ ( lhs_atom342+ | ~ $true ),+ file('<stdin>',to_be_clausified_341)).++fof(c_0_169,axiom,+ ( lhs_atom341+ | ~ $true ),+ file('<stdin>',to_be_clausified_340)).++fof(c_0_170,axiom,+ ( lhs_atom340+ | ~ $true ),+ file('<stdin>',to_be_clausified_339)).++fof(c_0_171,axiom,+ ( lhs_atom339+ | ~ $true ),+ file('<stdin>',to_be_clausified_338)).++fof(c_0_172,axiom,+ ( lhs_atom338+ | ~ $true ),+ file('<stdin>',to_be_clausified_337)).++fof(c_0_173,axiom,+ ( lhs_atom337+ | ~ $true ),+ file('<stdin>',to_be_clausified_336)).++fof(c_0_174,axiom,+ ( lhs_atom336+ | ~ $true ),+ file('<stdin>',to_be_clausified_335)).++fof(c_0_175,axiom,+ ( lhs_atom335+ | ~ $true ),+ file('<stdin>',to_be_clausified_334)).++fof(c_0_176,axiom,+ ( lhs_atom334+ | ~ $true ),+ file('<stdin>',to_be_clausified_333)).++fof(c_0_177,axiom,+ ( lhs_atom333+ | ~ $true ),+ file('<stdin>',to_be_clausified_332)).++fof(c_0_178,axiom,+ ( lhs_atom332+ | ~ $true ),+ file('<stdin>',to_be_clausified_331)).++fof(c_0_179,axiom,+ ( lhs_atom331+ | ~ $true ),+ file('<stdin>',to_be_clausified_330)).++fof(c_0_180,axiom,+ ( lhs_atom330+ | ~ $true ),+ file('<stdin>',to_be_clausified_329)).++fof(c_0_181,axiom,+ ( lhs_atom329+ | ~ $true ),+ file('<stdin>',to_be_clausified_328)).++fof(c_0_182,axiom,+ ( lhs_atom328+ | ~ $true ),+ file('<stdin>',to_be_clausified_327)).++fof(c_0_183,axiom,+ ( lhs_atom327+ | ~ $true ),+ file('<stdin>',to_be_clausified_326)).++fof(c_0_184,axiom,+ ( lhs_atom326+ | ~ $true ),+ file('<stdin>',to_be_clausified_325)).++fof(c_0_185,axiom,+ ( lhs_atom325+ | ~ $true ),+ file('<stdin>',to_be_clausified_324)).++fof(c_0_186,axiom,+ ( lhs_atom324+ | ~ $true ),+ file('<stdin>',to_be_clausified_323)).++fof(c_0_187,axiom,+ ( lhs_atom323+ | ~ $true ),+ file('<stdin>',to_be_clausified_322)).++fof(c_0_188,axiom,+ ( lhs_atom322+ | ~ $true ),+ file('<stdin>',to_be_clausified_321)).++fof(c_0_189,axiom,+ ( lhs_atom321+ | ~ $true ),+ file('<stdin>',to_be_clausified_320)).++fof(c_0_190,axiom,+ ( lhs_atom320+ | ~ $true ),+ file('<stdin>',to_be_clausified_319)).++fof(c_0_191,axiom,+ ( lhs_atom319+ | ~ $true ),+ file('<stdin>',to_be_clausified_318)).++fof(c_0_192,axiom,+ ( lhs_atom318+ | ~ $true ),+ file('<stdin>',to_be_clausified_317)).++fof(c_0_193,axiom,+ ( lhs_atom317+ | ~ $true ),+ file('<stdin>',to_be_clausified_316)).++fof(c_0_194,axiom,+ ( lhs_atom316+ | ~ $true ),+ file('<stdin>',to_be_clausified_315)).++fof(c_0_195,axiom,+ ( lhs_atom315+ | ~ $true ),+ file('<stdin>',to_be_clausified_314)).++fof(c_0_196,axiom,+ ( lhs_atom314+ | ~ $true ),+ file('<stdin>',to_be_clausified_313)).++fof(c_0_197,axiom,+ ( lhs_atom313+ | ~ $true ),+ file('<stdin>',to_be_clausified_312)).++fof(c_0_198,axiom,+ ( lhs_atom312+ | ~ $true ),+ file('<stdin>',to_be_clausified_311)).++fof(c_0_199,axiom,+ ( lhs_atom311+ | ~ $true ),+ file('<stdin>',to_be_clausified_310)).++fof(c_0_200,axiom,+ ( lhs_atom310+ | ~ $true ),+ file('<stdin>',to_be_clausified_309)).++fof(c_0_201,axiom,+ ( lhs_atom309+ | ~ $true ),+ file('<stdin>',to_be_clausified_308)).++fof(c_0_202,axiom,+ ( lhs_atom308+ | ~ $true ),+ file('<stdin>',to_be_clausified_307)).++fof(c_0_203,axiom,+ ( lhs_atom307+ | ~ $true ),+ file('<stdin>',to_be_clausified_306)).++fof(c_0_204,axiom,+ ( lhs_atom306+ | ~ $true ),+ file('<stdin>',to_be_clausified_305)).++fof(c_0_205,axiom,+ ( lhs_atom305+ | ~ $true ),+ file('<stdin>',to_be_clausified_304)).++fof(c_0_206,axiom,+ ( lhs_atom304+ | ~ $true ),+ file('<stdin>',to_be_clausified_303)).++fof(c_0_207,axiom,+ ( lhs_atom303+ | ~ $true ),+ file('<stdin>',to_be_clausified_302)).++fof(c_0_208,axiom,+ ( lhs_atom302+ | ~ $true ),+ file('<stdin>',to_be_clausified_301)).++fof(c_0_209,axiom,+ ( lhs_atom301+ | ~ $true ),+ file('<stdin>',to_be_clausified_300)).++fof(c_0_210,axiom,+ ( lhs_atom300+ | ~ $true ),+ file('<stdin>',to_be_clausified_299)).++fof(c_0_211,axiom,+ ( lhs_atom299+ | ~ $true ),+ file('<stdin>',to_be_clausified_298)).++fof(c_0_212,axiom,+ ( lhs_atom298+ | ~ $true ),+ file('<stdin>',to_be_clausified_297)).++fof(c_0_213,axiom,+ ( lhs_atom297+ | ~ $true ),+ file('<stdin>',to_be_clausified_296)).++fof(c_0_214,axiom,+ ( lhs_atom296+ | ~ $true ),+ file('<stdin>',to_be_clausified_295)).++fof(c_0_215,axiom,+ ( lhs_atom295+ | ~ $true ),+ file('<stdin>',to_be_clausified_294)).++fof(c_0_216,axiom,+ ( lhs_atom294+ | ~ $true ),+ file('<stdin>',to_be_clausified_293)).++fof(c_0_217,axiom,+ ( lhs_atom293+ | ~ $true ),+ file('<stdin>',to_be_clausified_292)).++fof(c_0_218,axiom,+ ( lhs_atom292+ | ~ $true ),+ file('<stdin>',to_be_clausified_291)).++fof(c_0_219,axiom,+ ( lhs_atom291+ | ~ $true ),+ file('<stdin>',to_be_clausified_290)).++fof(c_0_220,axiom,+ ( lhs_atom290+ | ~ $true ),+ file('<stdin>',to_be_clausified_289)).++fof(c_0_221,axiom,+ ( lhs_atom289+ | ~ $true ),+ file('<stdin>',to_be_clausified_288)).++fof(c_0_222,axiom,+ ( lhs_atom288+ | ~ $true ),+ file('<stdin>',to_be_clausified_287)).++fof(c_0_223,axiom,+ ( lhs_atom287+ | ~ $true ),+ file('<stdin>',to_be_clausified_286)).++fof(c_0_224,axiom,+ ( lhs_atom286+ | ~ $true ),+ file('<stdin>',to_be_clausified_285)).++fof(c_0_225,axiom,+ ( lhs_atom285+ | ~ $true ),+ file('<stdin>',to_be_clausified_284)).++fof(c_0_226,axiom,+ ( lhs_atom284+ | ~ $true ),+ file('<stdin>',to_be_clausified_283)).++fof(c_0_227,axiom,+ ( lhs_atom283+ | ~ $true ),+ file('<stdin>',to_be_clausified_282)).++fof(c_0_228,axiom,+ ( lhs_atom282+ | ~ $true ),+ file('<stdin>',to_be_clausified_281)).++fof(c_0_229,axiom,+ ( lhs_atom281+ | ~ $true ),+ file('<stdin>',to_be_clausified_280)).++fof(c_0_230,axiom,+ ( lhs_atom280+ | ~ $true ),+ file('<stdin>',to_be_clausified_279)).++fof(c_0_231,axiom,+ ( lhs_atom279+ | ~ $true ),+ file('<stdin>',to_be_clausified_278)).++fof(c_0_232,axiom,+ ( lhs_atom278+ | ~ $true ),+ file('<stdin>',to_be_clausified_277)).++fof(c_0_233,axiom,+ ( lhs_atom277+ | ~ $true ),+ file('<stdin>',to_be_clausified_276)).++fof(c_0_234,axiom,+ ( lhs_atom276+ | ~ $true ),+ file('<stdin>',to_be_clausified_275)).++fof(c_0_235,axiom,+ ( lhs_atom275+ | ~ $true ),+ file('<stdin>',to_be_clausified_274)).++fof(c_0_236,axiom,+ ( lhs_atom274+ | ~ $true ),+ file('<stdin>',to_be_clausified_273)).++fof(c_0_237,axiom,+ ( lhs_atom273+ | ~ $true ),+ file('<stdin>',to_be_clausified_272)).++fof(c_0_238,axiom,+ ( lhs_atom272+ | ~ $true ),+ file('<stdin>',to_be_clausified_271)).++fof(c_0_239,axiom,+ ( lhs_atom271+ | ~ $true ),+ file('<stdin>',to_be_clausified_270)).++fof(c_0_240,axiom,+ ( lhs_atom270+ | ~ $true ),+ file('<stdin>',to_be_clausified_269)).++fof(c_0_241,axiom,+ ( lhs_atom269+ | ~ $true ),+ file('<stdin>',to_be_clausified_268)).++fof(c_0_242,axiom,+ ( lhs_atom268+ | ~ $true ),+ file('<stdin>',to_be_clausified_267)).++fof(c_0_243,axiom,+ ( lhs_atom267+ | ~ $true ),+ file('<stdin>',to_be_clausified_266)).++fof(c_0_244,axiom,+ ( lhs_atom266+ | ~ $true ),+ file('<stdin>',to_be_clausified_265)).++fof(c_0_245,axiom,+ ( lhs_atom265+ | ~ $true ),+ file('<stdin>',to_be_clausified_264)).++fof(c_0_246,axiom,+ ( lhs_atom264+ | ~ $true ),+ file('<stdin>',to_be_clausified_263)).++fof(c_0_247,axiom,+ ( lhs_atom263+ | ~ $true ),+ file('<stdin>',to_be_clausified_262)).++fof(c_0_248,axiom,+ ( lhs_atom262+ | ~ $true ),+ file('<stdin>',to_be_clausified_261)).++fof(c_0_249,axiom,+ ( lhs_atom261+ | ~ $true ),+ file('<stdin>',to_be_clausified_260)).++fof(c_0_250,axiom,+ ( lhs_atom260+ | ~ $true ),+ file('<stdin>',to_be_clausified_259)).++fof(c_0_251,axiom,+ ( lhs_atom223+ | ~ $true ),+ file('<stdin>',to_be_clausified_222)).++fof(c_0_252,axiom,+ ( lhs_atom222+ | ~ $true ),+ file('<stdin>',to_be_clausified_221)).++fof(c_0_253,axiom,+ ( lhs_atom221+ | ~ $true ),+ file('<stdin>',to_be_clausified_220)).++fof(c_0_254,axiom,+ ( lhs_atom220+ | ~ $true ),+ file('<stdin>',to_be_clausified_219)).++fof(c_0_255,axiom,+ ( lhs_atom219+ | ~ $true ),+ file('<stdin>',to_be_clausified_218)).++fof(c_0_256,axiom,+ ( lhs_atom218+ | ~ $true ),+ file('<stdin>',to_be_clausified_217)).++fof(c_0_257,axiom,+ ( lhs_atom217+ | ~ $true ),+ file('<stdin>',to_be_clausified_216)).++fof(c_0_258,axiom,+ ( lhs_atom216+ | ~ $true ),+ file('<stdin>',to_be_clausified_215)).++fof(c_0_259,axiom,+ ( lhs_atom215+ | ~ $true ),+ file('<stdin>',to_be_clausified_214)).++fof(c_0_260,axiom,+ ( lhs_atom214+ | ~ $true ),+ file('<stdin>',to_be_clausified_213)).++fof(c_0_261,axiom,+ ( lhs_atom213+ | ~ $true ),+ file('<stdin>',to_be_clausified_212)).++fof(c_0_262,axiom,+ ( lhs_atom212+ | ~ $true ),+ file('<stdin>',to_be_clausified_211)).++fof(c_0_263,axiom,+ ( lhs_atom211+ | ~ $true ),+ file('<stdin>',to_be_clausified_210)).++fof(c_0_264,axiom,+ ( lhs_atom210+ | ~ $true ),+ file('<stdin>',to_be_clausified_209)).++fof(c_0_265,axiom,+ ( lhs_atom209+ | ~ $true ),+ file('<stdin>',to_be_clausified_208)).++fof(c_0_266,axiom,+ ( lhs_atom208+ | ~ $true ),+ file('<stdin>',to_be_clausified_207)).++fof(c_0_267,axiom,+ ( lhs_atom207+ | ~ $true ),+ file('<stdin>',to_be_clausified_206)).++fof(c_0_268,axiom,+ ( lhs_atom206+ | ~ $true ),+ file('<stdin>',to_be_clausified_205)).++fof(c_0_269,axiom,+ ( lhs_atom205+ | ~ $true ),+ file('<stdin>',to_be_clausified_204)).++fof(c_0_270,axiom,+ ( lhs_atom204+ | ~ $true ),+ file('<stdin>',to_be_clausified_203)).++fof(c_0_271,axiom,+ ( lhs_atom203+ | ~ $true ),+ file('<stdin>',to_be_clausified_202)).++fof(c_0_272,axiom,+ ( lhs_atom202+ | ~ $true ),+ file('<stdin>',to_be_clausified_201)).++fof(c_0_273,axiom,+ ( lhs_atom201+ | ~ $true ),+ file('<stdin>',to_be_clausified_200)).++fof(c_0_274,axiom,+ ( lhs_atom200+ | ~ $true ),+ file('<stdin>',to_be_clausified_199)).++fof(c_0_275,axiom,+ ( lhs_atom199+ | ~ $true ),+ file('<stdin>',to_be_clausified_198)).++fof(c_0_276,axiom,+ ( lhs_atom198+ | ~ $true ),+ file('<stdin>',to_be_clausified_197)).++fof(c_0_277,axiom,+ ( lhs_atom197+ | ~ $true ),+ file('<stdin>',to_be_clausified_196)).++fof(c_0_278,axiom,+ ( lhs_atom196+ | ~ $true ),+ file('<stdin>',to_be_clausified_195)).++fof(c_0_279,axiom,+ ( lhs_atom195+ | ~ $true ),+ file('<stdin>',to_be_clausified_194)).++fof(c_0_280,axiom,+ ( lhs_atom194+ | ~ $true ),+ file('<stdin>',to_be_clausified_193)).++fof(c_0_281,axiom,+ ( lhs_atom193+ | ~ $true ),+ file('<stdin>',to_be_clausified_192)).++fof(c_0_282,axiom,+ ( lhs_atom192+ | ~ $true ),+ file('<stdin>',to_be_clausified_191)).++fof(c_0_283,axiom,+ ( lhs_atom191+ | ~ $true ),+ file('<stdin>',to_be_clausified_190)).++fof(c_0_284,axiom,+ ( lhs_atom190+ | ~ $true ),+ file('<stdin>',to_be_clausified_189)).++fof(c_0_285,axiom,+ ( lhs_atom189+ | ~ $true ),+ file('<stdin>',to_be_clausified_188)).++fof(c_0_286,axiom,+ ( lhs_atom188+ | ~ $true ),+ file('<stdin>',to_be_clausified_187)).++fof(c_0_287,axiom,+ ( lhs_atom187+ | ~ $true ),+ file('<stdin>',to_be_clausified_186)).++fof(c_0_288,axiom,+ ( lhs_atom186+ | ~ $true ),+ file('<stdin>',to_be_clausified_185)).++fof(c_0_289,axiom,+ ( lhs_atom185+ | ~ $true ),+ file('<stdin>',to_be_clausified_184)).++fof(c_0_290,axiom,+ ( lhs_atom184+ | ~ $true ),+ file('<stdin>',to_be_clausified_183)).++fof(c_0_291,axiom,+ ( lhs_atom183+ | ~ $true ),+ file('<stdin>',to_be_clausified_182)).++fof(c_0_292,axiom,+ ( lhs_atom182+ | ~ $true ),+ file('<stdin>',to_be_clausified_181)).++fof(c_0_293,axiom,+ ( lhs_atom181+ | ~ $true ),+ file('<stdin>',to_be_clausified_180)).++fof(c_0_294,axiom,+ ( lhs_atom180+ | ~ $true ),+ file('<stdin>',to_be_clausified_179)).++fof(c_0_295,axiom,+ ( lhs_atom179+ | ~ $true ),+ file('<stdin>',to_be_clausified_178)).++fof(c_0_296,axiom,+ ( lhs_atom178+ | ~ $true ),+ file('<stdin>',to_be_clausified_177)).++fof(c_0_297,axiom,+ ( lhs_atom177+ | ~ $true ),+ file('<stdin>',to_be_clausified_176)).++fof(c_0_298,axiom,+ ( lhs_atom176+ | ~ $true ),+ file('<stdin>',to_be_clausified_175)).++fof(c_0_299,axiom,+ ( lhs_atom175+ | ~ $true ),+ file('<stdin>',to_be_clausified_174)).++fof(c_0_300,axiom,+ ( lhs_atom174+ | ~ $true ),+ file('<stdin>',to_be_clausified_173)).++fof(c_0_301,axiom,+ ( lhs_atom173+ | ~ $true ),+ file('<stdin>',to_be_clausified_172)).++fof(c_0_302,axiom,+ ( lhs_atom172+ | ~ $true ),+ file('<stdin>',to_be_clausified_171)).++fof(c_0_303,axiom,+ ( lhs_atom171+ | ~ $true ),+ file('<stdin>',to_be_clausified_170)).++fof(c_0_304,axiom,+ ( lhs_atom170+ | ~ $true ),+ file('<stdin>',to_be_clausified_169)).++fof(c_0_305,axiom,+ ( lhs_atom169+ | ~ $true ),+ file('<stdin>',to_be_clausified_168)).++fof(c_0_306,axiom,+ ( lhs_atom168+ | ~ $true ),+ file('<stdin>',to_be_clausified_167)).++fof(c_0_307,axiom,+ ( lhs_atom167+ | ~ $true ),+ file('<stdin>',to_be_clausified_166)).++fof(c_0_308,axiom,+ ( lhs_atom166+ | ~ $true ),+ file('<stdin>',to_be_clausified_165)).++fof(c_0_309,axiom,+ ( lhs_atom165+ | ~ $true ),+ file('<stdin>',to_be_clausified_164)).++fof(c_0_310,axiom,+ ( lhs_atom164+ | ~ $true ),+ file('<stdin>',to_be_clausified_163)).++fof(c_0_311,axiom,+ ( lhs_atom163+ | ~ $true ),+ file('<stdin>',to_be_clausified_162)).++fof(c_0_312,axiom,+ ( lhs_atom162+ | ~ $true ),+ file('<stdin>',to_be_clausified_161)).++fof(c_0_313,axiom,+ ( lhs_atom161+ | ~ $true ),+ file('<stdin>',to_be_clausified_160)).++fof(c_0_314,axiom,+ ( lhs_atom160+ | ~ $true ),+ file('<stdin>',to_be_clausified_159)).++fof(c_0_315,axiom,+ ( lhs_atom159+ | ~ $true ),+ file('<stdin>',to_be_clausified_158)).++fof(c_0_316,axiom,+ ( lhs_atom158+ | ~ $true ),+ file('<stdin>',to_be_clausified_157)).++fof(c_0_317,axiom,+ ( lhs_atom157+ | ~ $true ),+ file('<stdin>',to_be_clausified_156)).++fof(c_0_318,axiom,+ ( lhs_atom156+ | ~ $true ),+ file('<stdin>',to_be_clausified_155)).++fof(c_0_319,axiom,+ ( lhs_atom155+ | ~ $true ),+ file('<stdin>',to_be_clausified_154)).++fof(c_0_320,axiom,+ ( lhs_atom154+ | ~ $true ),+ file('<stdin>',to_be_clausified_153)).++fof(c_0_321,axiom,+ ( lhs_atom153+ | ~ $true ),+ file('<stdin>',to_be_clausified_152)).++fof(c_0_322,axiom,+ ( lhs_atom152+ | ~ $true ),+ file('<stdin>',to_be_clausified_151)).++fof(c_0_323,axiom,+ ( lhs_atom151+ | ~ $true ),+ file('<stdin>',to_be_clausified_150)).++fof(c_0_324,axiom,+ ( lhs_atom150+ | ~ $true ),+ file('<stdin>',to_be_clausified_149)).++fof(c_0_325,axiom,+ ( lhs_atom149+ | ~ $true ),+ file('<stdin>',to_be_clausified_148)).++fof(c_0_326,axiom,+ ( lhs_atom148+ | ~ $true ),+ file('<stdin>',to_be_clausified_147)).++fof(c_0_327,axiom,+ ( lhs_atom147+ | ~ $true ),+ file('<stdin>',to_be_clausified_146)).++fof(c_0_328,axiom,+ ( lhs_atom146+ | ~ $true ),+ file('<stdin>',to_be_clausified_145)).++fof(c_0_329,axiom,+ ( lhs_atom145+ | ~ $true ),+ file('<stdin>',to_be_clausified_144)).++fof(c_0_330,axiom,+ ( lhs_atom144+ | ~ $true ),+ file('<stdin>',to_be_clausified_143)).++fof(c_0_331,axiom,+ ( lhs_atom143+ | ~ $true ),+ file('<stdin>',to_be_clausified_142)).++fof(c_0_332,axiom,+ ( lhs_atom142+ | ~ $true ),+ file('<stdin>',to_be_clausified_141)).++fof(c_0_333,axiom,+ ( lhs_atom141+ | ~ $true ),+ file('<stdin>',to_be_clausified_140)).++fof(c_0_334,axiom,+ ( lhs_atom140+ | ~ $true ),+ file('<stdin>',to_be_clausified_139)).++fof(c_0_335,axiom,+ ( lhs_atom139+ | ~ $true ),+ file('<stdin>',to_be_clausified_138)).++fof(c_0_336,axiom,+ ( lhs_atom138+ | ~ $true ),+ file('<stdin>',to_be_clausified_137)).++fof(c_0_337,axiom,+ ( lhs_atom137+ | ~ $true ),+ file('<stdin>',to_be_clausified_136)).++fof(c_0_338,axiom,+ ( lhs_atom136+ | ~ $true ),+ file('<stdin>',to_be_clausified_135)).++fof(c_0_339,axiom,+ ( lhs_atom135+ | ~ $true ),+ file('<stdin>',to_be_clausified_134)).++fof(c_0_340,axiom,+ ( lhs_atom134+ | ~ $true ),+ file('<stdin>',to_be_clausified_133)).++fof(c_0_341,axiom,+ ( lhs_atom133+ | ~ $true ),+ file('<stdin>',to_be_clausified_132)).++fof(c_0_342,axiom,+ ( lhs_atom132+ | ~ $true ),+ file('<stdin>',to_be_clausified_131)).++fof(c_0_343,axiom,+ ( lhs_atom131+ | ~ $true ),+ file('<stdin>',to_be_clausified_130)).++fof(c_0_344,axiom,+ ( lhs_atom130+ | ~ $true ),+ file('<stdin>',to_be_clausified_129)).++fof(c_0_345,axiom,+ ( lhs_atom129+ | ~ $true ),+ file('<stdin>',to_be_clausified_128)).++fof(c_0_346,axiom,+ ( lhs_atom128+ | ~ $true ),+ file('<stdin>',to_be_clausified_127)).++fof(c_0_347,axiom,+ ( lhs_atom127+ | ~ $true ),+ file('<stdin>',to_be_clausified_126)).++fof(c_0_348,axiom,+ ( lhs_atom126+ | ~ $true ),+ file('<stdin>',to_be_clausified_125)).++fof(c_0_349,axiom,+ ( lhs_atom125+ | ~ $true ),+ file('<stdin>',to_be_clausified_124)).++fof(c_0_350,axiom,+ ( lhs_atom124+ | ~ $true ),+ file('<stdin>',to_be_clausified_123)).++fof(c_0_351,axiom,+ ( lhs_atom123+ | ~ $true ),+ file('<stdin>',to_be_clausified_122)).++fof(c_0_352,axiom,+ ( lhs_atom122+ | ~ $true ),+ file('<stdin>',to_be_clausified_121)).++fof(c_0_353,axiom,+ ( lhs_atom121+ | ~ $true ),+ file('<stdin>',to_be_clausified_120)).++fof(c_0_354,axiom,+ ( lhs_atom120+ | ~ $true ),+ file('<stdin>',to_be_clausified_119)).++fof(c_0_355,axiom,+ ( lhs_atom119+ | ~ $true ),+ file('<stdin>',to_be_clausified_118)).++fof(c_0_356,axiom,+ ( lhs_atom118+ | ~ $true ),+ file('<stdin>',to_be_clausified_117)).++fof(c_0_357,axiom,+ ( lhs_atom117+ | ~ $true ),+ file('<stdin>',to_be_clausified_116)).++fof(c_0_358,axiom,+ ( lhs_atom116+ | ~ $true ),+ file('<stdin>',to_be_clausified_115)).++fof(c_0_359,axiom,+ ( lhs_atom115+ | ~ $true ),+ file('<stdin>',to_be_clausified_114)).++fof(c_0_360,axiom,+ ( lhs_atom114+ | ~ $true ),+ file('<stdin>',to_be_clausified_113)).++fof(c_0_361,axiom,+ ( lhs_atom113+ | ~ $true ),+ file('<stdin>',to_be_clausified_112)).++fof(c_0_362,axiom,+ ( lhs_atom112+ | ~ $true ),+ file('<stdin>',to_be_clausified_111)).++fof(c_0_363,axiom,+ ( lhs_atom111+ | ~ $true ),+ file('<stdin>',to_be_clausified_110)).++fof(c_0_364,axiom,+ ( lhs_atom110+ | ~ $true ),+ file('<stdin>',to_be_clausified_109)).++fof(c_0_365,axiom,+ ( lhs_atom109+ | ~ $true ),+ file('<stdin>',to_be_clausified_108)).++fof(c_0_366,axiom,+ ( lhs_atom108+ | ~ $true ),+ file('<stdin>',to_be_clausified_107)).++fof(c_0_367,axiom,+ ( lhs_atom107+ | ~ $true ),+ file('<stdin>',to_be_clausified_106)).++fof(c_0_368,axiom,+ ( lhs_atom106+ | ~ $true ),+ file('<stdin>',to_be_clausified_105)).++fof(c_0_369,axiom,+ ( lhs_atom105+ | ~ $true ),+ file('<stdin>',to_be_clausified_104)).++fof(c_0_370,axiom,+ ( lhs_atom104+ | ~ $true ),+ file('<stdin>',to_be_clausified_103)).++fof(c_0_371,axiom,+ ( lhs_atom103+ | ~ $true ),+ file('<stdin>',to_be_clausified_102)).++fof(c_0_372,axiom,+ ( lhs_atom102+ | ~ $true ),+ file('<stdin>',to_be_clausified_101)).++fof(c_0_373,axiom,+ ( lhs_atom101+ | ~ $true ),+ file('<stdin>',to_be_clausified_100)).++fof(c_0_374,axiom,+ ( lhs_atom100+ | ~ $true ),+ file('<stdin>',to_be_clausified_99)).++fof(c_0_375,axiom,+ ( lhs_atom99+ | ~ $true ),+ file('<stdin>',to_be_clausified_98)).++fof(c_0_376,axiom,+ ( lhs_atom98+ | ~ $true ),+ file('<stdin>',to_be_clausified_97)).++fof(c_0_377,axiom,+ ( lhs_atom97+ | ~ $true ),+ file('<stdin>',to_be_clausified_96)).++fof(c_0_378,axiom,+ ( lhs_atom96+ | ~ $true ),+ file('<stdin>',to_be_clausified_95)).++fof(c_0_379,axiom,+ ( lhs_atom95+ | ~ $true ),+ file('<stdin>',to_be_clausified_94)).++fof(c_0_380,axiom,+ ( lhs_atom94+ | ~ $true ),+ file('<stdin>',to_be_clausified_93)).++fof(c_0_381,axiom,+ ( lhs_atom93+ | ~ $true ),+ file('<stdin>',to_be_clausified_92)).++fof(c_0_382,axiom,+ ( lhs_atom92+ | ~ $true ),+ file('<stdin>',to_be_clausified_91)).++fof(c_0_383,axiom,+ ( lhs_atom91+ | ~ $true ),+ file('<stdin>',to_be_clausified_90)).++fof(c_0_384,axiom,+ ( lhs_atom90+ | ~ $true ),+ file('<stdin>',to_be_clausified_89)).++fof(c_0_385,axiom,+ ( lhs_atom89+ | ~ $true ),+ file('<stdin>',to_be_clausified_88)).++fof(c_0_386,axiom,+ ( lhs_atom88+ | ~ $true ),+ file('<stdin>',to_be_clausified_87)).++fof(c_0_387,axiom,+ ( lhs_atom87+ | ~ $true ),+ file('<stdin>',to_be_clausified_86)).++fof(c_0_388,axiom,+ ( lhs_atom86+ | ~ $true ),+ file('<stdin>',to_be_clausified_85)).++fof(c_0_389,axiom,+ ( lhs_atom85+ | ~ $true ),+ file('<stdin>',to_be_clausified_84)).++fof(c_0_390,axiom,+ ( lhs_atom84+ | ~ $true ),+ file('<stdin>',to_be_clausified_83)).++fof(c_0_391,axiom,+ ( lhs_atom83+ | ~ $true ),+ file('<stdin>',to_be_clausified_82)).++fof(c_0_392,axiom,+ ( lhs_atom82+ | ~ $true ),+ file('<stdin>',to_be_clausified_81)).++fof(c_0_393,axiom,+ ( lhs_atom81+ | ~ $true ),+ file('<stdin>',to_be_clausified_80)).++fof(c_0_394,axiom,+ ( lhs_atom80+ | ~ $true ),+ file('<stdin>',to_be_clausified_79)).++fof(c_0_395,axiom,+ ( lhs_atom79+ | ~ $true ),+ file('<stdin>',to_be_clausified_78)).++fof(c_0_396,axiom,+ ( lhs_atom78+ | ~ $true ),+ file('<stdin>',to_be_clausified_77)).++fof(c_0_397,axiom,+ ( lhs_atom77+ | ~ $true ),+ file('<stdin>',to_be_clausified_76)).++fof(c_0_398,axiom,+ ( lhs_atom76+ | ~ $true ),+ file('<stdin>',to_be_clausified_75)).++fof(c_0_399,axiom,+ ( lhs_atom75+ | ~ $true ),+ file('<stdin>',to_be_clausified_74)).++fof(c_0_400,axiom,+ ( lhs_atom74+ | ~ $true ),+ file('<stdin>',to_be_clausified_73)).++fof(c_0_401,axiom,+ ( lhs_atom73+ | ~ $true ),+ file('<stdin>',to_be_clausified_72)).++fof(c_0_402,axiom,+ ( lhs_atom72+ | ~ $true ),+ file('<stdin>',to_be_clausified_71)).++fof(c_0_403,axiom,+ ( lhs_atom71+ | ~ $true ),+ file('<stdin>',to_be_clausified_70)).++fof(c_0_404,axiom,+ ( lhs_atom70+ | ~ $true ),+ file('<stdin>',to_be_clausified_69)).++fof(c_0_405,axiom,+ ( lhs_atom69+ | ~ $true ),+ file('<stdin>',to_be_clausified_68)).++fof(c_0_406,axiom,+ ( lhs_atom68+ | ~ $true ),+ file('<stdin>',to_be_clausified_67)).++fof(c_0_407,axiom,+ ( lhs_atom67+ | ~ $true ),+ file('<stdin>',to_be_clausified_66)).++fof(c_0_408,axiom,+ ( lhs_atom66+ | ~ $true ),+ file('<stdin>',to_be_clausified_65)).++fof(c_0_409,axiom,+ ( lhs_atom65+ | ~ $true ),+ file('<stdin>',to_be_clausified_64)).++fof(c_0_410,axiom,+ ( lhs_atom64+ | ~ $true ),+ file('<stdin>',to_be_clausified_63)).++fof(c_0_411,axiom,+ ( lhs_atom63+ | ~ $true ),+ file('<stdin>',to_be_clausified_62)).++fof(c_0_412,axiom,+ ( lhs_atom62+ | ~ $true ),+ file('<stdin>',to_be_clausified_61)).++fof(c_0_413,axiom,+ ( lhs_atom61+ | ~ $true ),+ file('<stdin>',to_be_clausified_60)).++fof(c_0_414,axiom,+ ( lhs_atom60+ | ~ $true ),+ file('<stdin>',to_be_clausified_59)).++fof(c_0_415,axiom,+ ( lhs_atom59+ | ~ $true ),+ file('<stdin>',to_be_clausified_58)).++fof(c_0_416,axiom,+ ( lhs_atom58+ | ~ $true ),+ file('<stdin>',to_be_clausified_57)).++fof(c_0_417,axiom,+ ( lhs_atom57+ | ~ $true ),+ file('<stdin>',to_be_clausified_56)).++fof(c_0_418,axiom,+ ( lhs_atom56+ | ~ $true ),+ file('<stdin>',to_be_clausified_55)).++fof(c_0_419,axiom,+ ( lhs_atom55+ | ~ $true ),+ file('<stdin>',to_be_clausified_54)).++fof(c_0_420,axiom,+ ( lhs_atom54+ | ~ $true ),+ file('<stdin>',to_be_clausified_53)).++fof(c_0_421,axiom,+ ( lhs_atom53+ | ~ $true ),+ file('<stdin>',to_be_clausified_52)).++fof(c_0_422,axiom,+ ( lhs_atom52+ | ~ $true ),+ file('<stdin>',to_be_clausified_51)).++fof(c_0_423,axiom,+ ( lhs_atom51+ | ~ $true ),+ file('<stdin>',to_be_clausified_50)).++fof(c_0_424,axiom,+ ( lhs_atom50+ | ~ $true ),+ file('<stdin>',to_be_clausified_49)).++fof(c_0_425,axiom,+ ( lhs_atom49+ | ~ $true ),+ file('<stdin>',to_be_clausified_48)).++fof(c_0_426,axiom,+ ( lhs_atom48+ | ~ $true ),+ file('<stdin>',to_be_clausified_47)).++fof(c_0_427,axiom,+ ( lhs_atom47+ | ~ $true ),+ file('<stdin>',to_be_clausified_46)).++fof(c_0_428,axiom,+ ( lhs_atom46+ | ~ $true ),+ file('<stdin>',to_be_clausified_45)).++fof(c_0_429,axiom,+ ( lhs_atom45+ | ~ $true ),+ file('<stdin>',to_be_clausified_44)).++fof(c_0_430,axiom,+ ( lhs_atom44+ | ~ $true ),+ file('<stdin>',to_be_clausified_43)).++fof(c_0_431,axiom,+ ( lhs_atom43+ | ~ $true ),+ file('<stdin>',to_be_clausified_42)).++fof(c_0_432,axiom,+ ( lhs_atom42+ | ~ $true ),+ file('<stdin>',to_be_clausified_41)).++fof(c_0_433,axiom,+ ( lhs_atom41+ | ~ $true ),+ file('<stdin>',to_be_clausified_40)).++fof(c_0_434,axiom,+ ( lhs_atom40+ | ~ $true ),+ file('<stdin>',to_be_clausified_39)).++fof(c_0_435,axiom,+ ( lhs_atom39+ | ~ $true ),+ file('<stdin>',to_be_clausified_38)).++fof(c_0_436,axiom,+ ( lhs_atom38+ | ~ $true ),+ file('<stdin>',to_be_clausified_37)).++fof(c_0_437,axiom,+ ( lhs_atom37+ | ~ $true ),+ file('<stdin>',to_be_clausified_36)).++fof(c_0_438,axiom,+ ( lhs_atom36+ | ~ $true ),+ file('<stdin>',to_be_clausified_35)).++fof(c_0_439,axiom,+ ( lhs_atom35+ | ~ $true ),+ file('<stdin>',to_be_clausified_34)).++fof(c_0_440,axiom,+ ( lhs_atom34+ | ~ $true ),+ file('<stdin>',to_be_clausified_33)).++fof(c_0_441,axiom,+ ( lhs_atom33+ | ~ $true ),+ file('<stdin>',to_be_clausified_32)).++fof(c_0_442,axiom,+ ( lhs_atom32+ | ~ $true ),+ file('<stdin>',to_be_clausified_31)).++fof(c_0_443,axiom,+ ( lhs_atom31+ | ~ $true ),+ file('<stdin>',to_be_clausified_30)).++fof(c_0_444,axiom,+ ( lhs_atom30+ | ~ $true ),+ file('<stdin>',to_be_clausified_29)).++fof(c_0_445,axiom,+ ( lhs_atom29+ | ~ $true ),+ file('<stdin>',to_be_clausified_28)).++fof(c_0_446,axiom,+ ( lhs_atom28+ | ~ $true ),+ file('<stdin>',to_be_clausified_27)).++fof(c_0_447,axiom,+ ( lhs_atom27+ | ~ $true ),+ file('<stdin>',to_be_clausified_26)).++fof(c_0_448,axiom,+ ( lhs_atom26+ | ~ $true ),+ file('<stdin>',to_be_clausified_25)).++fof(c_0_449,axiom,+ ( lhs_atom25+ | ~ $true ),+ file('<stdin>',to_be_clausified_24)).++fof(c_0_450,axiom,+ ( lhs_atom24+ | ~ $true ),+ file('<stdin>',to_be_clausified_23)).++fof(c_0_451,axiom,+ ( lhs_atom23+ | ~ $true ),+ file('<stdin>',to_be_clausified_22)).++fof(c_0_452,axiom,+ ( lhs_atom22+ | ~ $true ),+ file('<stdin>',to_be_clausified_21)).++fof(c_0_453,axiom,+ ( lhs_atom21+ | ~ $true ),+ file('<stdin>',to_be_clausified_20)).++fof(c_0_454,axiom,+ ( lhs_atom20+ | ~ $true ),+ file('<stdin>',to_be_clausified_19)).++fof(c_0_455,axiom,+ ( lhs_atom19+ | ~ $true ),+ file('<stdin>',to_be_clausified_18)).++fof(c_0_456,axiom,+ ( lhs_atom18+ | ~ $true ),+ file('<stdin>',to_be_clausified_17)).++fof(c_0_457,axiom,+ ( lhs_atom17+ | ~ $true ),+ file('<stdin>',to_be_clausified_16)).++fof(c_0_458,axiom,+ ( lhs_atom16+ | ~ $true ),+ file('<stdin>',to_be_clausified_15)).++fof(c_0_459,axiom,+ ( lhs_atom15+ | ~ $true ),+ file('<stdin>',to_be_clausified_14)).++fof(c_0_460,axiom,+ ( lhs_atom14+ | ~ $true ),+ file('<stdin>',to_be_clausified_13)).++fof(c_0_461,axiom,+ ( lhs_atom13+ | ~ $true ),+ file('<stdin>',to_be_clausified_12)).++fof(c_0_462,axiom,+ ( lhs_atom12+ | ~ $true ),+ file('<stdin>',to_be_clausified_11)).++fof(c_0_463,axiom,+ ( lhs_atom11+ | ~ $true ),+ file('<stdin>',to_be_clausified_10)).++fof(c_0_464,axiom,+ ( lhs_atom10+ | ~ $true ),+ file('<stdin>',to_be_clausified_9)).++fof(c_0_465,axiom,+ ( lhs_atom9+ | ~ $true ),+ file('<stdin>',to_be_clausified_8)).++fof(c_0_466,axiom,+ ( lhs_atom8+ | ~ $true ),+ file('<stdin>',to_be_clausified_7)).++fof(c_0_467,axiom,+ ( lhs_atom7+ | ~ $true ),+ file('<stdin>',to_be_clausified_6)).++fof(c_0_468,axiom,+ ( lhs_atom6+ | ~ $true ),+ file('<stdin>',to_be_clausified_5)).++fof(c_0_469,axiom,+ ( lhs_atom5+ | ~ $true ),+ file('<stdin>',to_be_clausified_4)).++fof(c_0_470,axiom,+ ( lhs_atom4+ | ~ $true ),+ file('<stdin>',to_be_clausified_3)).++fof(c_0_471,axiom,+ ( lhs_atom3+ | ~ $true ),+ file('<stdin>',to_be_clausified_2)).++fof(c_0_472,axiom,+ ( lhs_atom2+ | ~ $true ),+ file('<stdin>',to_be_clausified_1)).++fof(c_0_473,axiom,+ ( lhs_atom1+ | ~ $true ),+ file('<stdin>',to_be_clausified_0)).++fof(c_0_474,axiom,+ ( lhs_atom259+ | inv(e0) = e0 ),+ c_0_0).++fof(c_0_475,axiom,+ ( lhs_atom258+ | inv(e1) = e0 ),+ c_0_1).++fof(c_0_476,axiom,+ ( lhs_atom257+ | inv(e2) = e0 ),+ c_0_2).++fof(c_0_477,axiom,+ ( lhs_atom256+ | inv(e3) = e0 ),+ c_0_3).++fof(c_0_478,axiom,+ ( lhs_atom255+ | inv(e4) = e0 ),+ c_0_4).++fof(c_0_479,axiom,+ ( lhs_atom254+ | inv(e5) = e0 ),+ c_0_5).++fof(c_0_480,axiom,+ ( lhs_atom253+ | inv(e0) = e1 ),+ c_0_6).++fof(c_0_481,axiom,+ ( lhs_atom252+ | inv(e1) = e1 ),+ c_0_7).++fof(c_0_482,axiom,+ ( lhs_atom251+ | inv(e2) = e1 ),+ c_0_8).++fof(c_0_483,axiom,+ ( lhs_atom250+ | inv(e3) = e1 ),+ c_0_9).++fof(c_0_484,axiom,+ ( lhs_atom249+ | inv(e4) = e1 ),+ c_0_10).++fof(c_0_485,axiom,+ ( lhs_atom248+ | inv(e5) = e1 ),+ c_0_11).++fof(c_0_486,axiom,+ ( lhs_atom247+ | inv(e0) = e2 ),+ c_0_12).++fof(c_0_487,axiom,+ ( lhs_atom246+ | inv(e1) = e2 ),+ c_0_13).++fof(c_0_488,axiom,+ ( lhs_atom245+ | inv(e2) = e2 ),+ c_0_14).++fof(c_0_489,axiom,+ ( lhs_atom244+ | inv(e3) = e2 ),+ c_0_15).++fof(c_0_490,axiom,+ ( lhs_atom243+ | inv(e4) = e2 ),+ c_0_16).++fof(c_0_491,axiom,+ ( lhs_atom242+ | inv(e5) = e2 ),+ c_0_17).++fof(c_0_492,axiom,+ ( lhs_atom241+ | inv(e0) = e3 ),+ c_0_18).++fof(c_0_493,axiom,+ ( lhs_atom240+ | inv(e1) = e3 ),+ c_0_19).++fof(c_0_494,axiom,+ ( lhs_atom239+ | inv(e2) = e3 ),+ c_0_20).++fof(c_0_495,axiom,+ ( lhs_atom238+ | inv(e3) = e3 ),+ c_0_21).++fof(c_0_496,axiom,+ ( lhs_atom237+ | inv(e4) = e3 ),+ c_0_22).++fof(c_0_497,axiom,+ ( lhs_atom236+ | inv(e5) = e3 ),+ c_0_23).++fof(c_0_498,axiom,+ ( lhs_atom235+ | inv(e0) = e4 ),+ c_0_24).++fof(c_0_499,axiom,+ ( lhs_atom234+ | inv(e1) = e4 ),+ c_0_25).++fof(c_0_500,axiom,+ ( lhs_atom233+ | inv(e2) = e4 ),+ c_0_26).++fof(c_0_501,axiom,+ ( lhs_atom232+ | inv(e3) = e4 ),+ c_0_27).++fof(c_0_502,axiom,+ ( lhs_atom231+ | inv(e4) = e4 ),+ c_0_28).++fof(c_0_503,axiom,+ ( lhs_atom230+ | inv(e5) = e4 ),+ c_0_29).++fof(c_0_504,axiom,+ ( lhs_atom229+ | inv(e0) = e5 ),+ c_0_30).++fof(c_0_505,axiom,+ ( lhs_atom228+ | inv(e1) = e5 ),+ c_0_31).++fof(c_0_506,axiom,+ ( lhs_atom227+ | inv(e2) = e5 ),+ c_0_32).++fof(c_0_507,axiom,+ ( lhs_atom226+ | inv(e3) = e5 ),+ c_0_33).++fof(c_0_508,axiom,+ ( lhs_atom225+ | inv(e4) = e5 ),+ c_0_34).++fof(c_0_509,axiom,+ ( lhs_atom224+ | inv(e5) = e5 ),+ c_0_35).++fof(c_0_510,plain,(+ lhs_atom474 ),+ inference(fof_simplification,[status(thm)],[c_0_36])).++fof(c_0_511,plain,(+ lhs_atom473 ),+ inference(fof_simplification,[status(thm)],[c_0_37])).++fof(c_0_512,plain,(+ lhs_atom472 ),+ inference(fof_simplification,[status(thm)],[c_0_38])).++fof(c_0_513,plain,(+ lhs_atom471 ),+ inference(fof_simplification,[status(thm)],[c_0_39])).++fof(c_0_514,plain,(+ lhs_atom470 ),+ inference(fof_simplification,[status(thm)],[c_0_40])).++fof(c_0_515,plain,(+ lhs_atom469 ),+ inference(fof_simplification,[status(thm)],[c_0_41])).++fof(c_0_516,plain,(+ lhs_atom468 ),+ inference(fof_simplification,[status(thm)],[c_0_42])).++fof(c_0_517,plain,(+ lhs_atom467 ),+ inference(fof_simplification,[status(thm)],[c_0_43])).++fof(c_0_518,plain,(+ lhs_atom466 ),+ inference(fof_simplification,[status(thm)],[c_0_44])).++fof(c_0_519,plain,(+ lhs_atom465 ),+ inference(fof_simplification,[status(thm)],[c_0_45])).++fof(c_0_520,plain,(+ lhs_atom464 ),+ inference(fof_simplification,[status(thm)],[c_0_46])).++fof(c_0_521,plain,(+ lhs_atom463 ),+ inference(fof_simplification,[status(thm)],[c_0_47])).++fof(c_0_522,plain,(+ lhs_atom462 ),+ inference(fof_simplification,[status(thm)],[c_0_48])).++fof(c_0_523,plain,(+ lhs_atom461 ),+ inference(fof_simplification,[status(thm)],[c_0_49])).++fof(c_0_524,plain,(+ lhs_atom460 ),+ inference(fof_simplification,[status(thm)],[c_0_50])).++fof(c_0_525,plain,(+ lhs_atom459 ),+ inference(fof_simplification,[status(thm)],[c_0_51])).++fof(c_0_526,plain,(+ lhs_atom458 ),+ inference(fof_simplification,[status(thm)],[c_0_52])).++fof(c_0_527,plain,(+ lhs_atom457 ),+ inference(fof_simplification,[status(thm)],[c_0_53])).++fof(c_0_528,plain,(+ lhs_atom456 ),+ inference(fof_simplification,[status(thm)],[c_0_54])).++fof(c_0_529,plain,(+ lhs_atom455 ),+ inference(fof_simplification,[status(thm)],[c_0_55])).++fof(c_0_530,plain,(+ lhs_atom454 ),+ inference(fof_simplification,[status(thm)],[c_0_56])).++fof(c_0_531,plain,(+ lhs_atom453 ),+ inference(fof_simplification,[status(thm)],[c_0_57])).++fof(c_0_532,plain,(+ lhs_atom452 ),+ inference(fof_simplification,[status(thm)],[c_0_58])).++fof(c_0_533,plain,(+ lhs_atom451 ),+ inference(fof_simplification,[status(thm)],[c_0_59])).++fof(c_0_534,plain,(+ lhs_atom450 ),+ inference(fof_simplification,[status(thm)],[c_0_60])).++fof(c_0_535,plain,(+ lhs_atom449 ),+ inference(fof_simplification,[status(thm)],[c_0_61])).++fof(c_0_536,plain,(+ lhs_atom448 ),+ inference(fof_simplification,[status(thm)],[c_0_62])).++fof(c_0_537,plain,(+ lhs_atom447 ),+ inference(fof_simplification,[status(thm)],[c_0_63])).++fof(c_0_538,plain,(+ lhs_atom446 ),+ inference(fof_simplification,[status(thm)],[c_0_64])).++fof(c_0_539,plain,(+ lhs_atom445 ),+ inference(fof_simplification,[status(thm)],[c_0_65])).++fof(c_0_540,plain,(+ lhs_atom444 ),+ inference(fof_simplification,[status(thm)],[c_0_66])).++fof(c_0_541,plain,(+ lhs_atom443 ),+ inference(fof_simplification,[status(thm)],[c_0_67])).++fof(c_0_542,plain,(+ lhs_atom442 ),+ inference(fof_simplification,[status(thm)],[c_0_68])).++fof(c_0_543,plain,(+ lhs_atom441 ),+ inference(fof_simplification,[status(thm)],[c_0_69])).++fof(c_0_544,plain,(+ lhs_atom440 ),+ inference(fof_simplification,[status(thm)],[c_0_70])).++fof(c_0_545,plain,(+ lhs_atom439 ),+ inference(fof_simplification,[status(thm)],[c_0_71])).++fof(c_0_546,plain,(+ lhs_atom438 ),+ inference(fof_simplification,[status(thm)],[c_0_72])).++fof(c_0_547,plain,(+ lhs_atom437 ),+ inference(fof_simplification,[status(thm)],[c_0_73])).++fof(c_0_548,plain,(+ lhs_atom436 ),+ inference(fof_simplification,[status(thm)],[c_0_74])).++fof(c_0_549,plain,(+ lhs_atom435 ),+ inference(fof_simplification,[status(thm)],[c_0_75])).++fof(c_0_550,plain,(+ lhs_atom434 ),+ inference(fof_simplification,[status(thm)],[c_0_76])).++fof(c_0_551,plain,(+ lhs_atom433 ),+ inference(fof_simplification,[status(thm)],[c_0_77])).++fof(c_0_552,plain,(+ lhs_atom432 ),+ inference(fof_simplification,[status(thm)],[c_0_78])).++fof(c_0_553,plain,(+ lhs_atom431 ),+ inference(fof_simplification,[status(thm)],[c_0_79])).++fof(c_0_554,plain,(+ lhs_atom430 ),+ inference(fof_simplification,[status(thm)],[c_0_80])).++fof(c_0_555,plain,(+ lhs_atom429 ),+ inference(fof_simplification,[status(thm)],[c_0_81])).++fof(c_0_556,plain,(+ lhs_atom428 ),+ inference(fof_simplification,[status(thm)],[c_0_82])).++fof(c_0_557,plain,(+ lhs_atom427 ),+ inference(fof_simplification,[status(thm)],[c_0_83])).++fof(c_0_558,plain,(+ lhs_atom426 ),+ inference(fof_simplification,[status(thm)],[c_0_84])).++fof(c_0_559,plain,(+ lhs_atom425 ),+ inference(fof_simplification,[status(thm)],[c_0_85])).++fof(c_0_560,plain,(+ lhs_atom424 ),+ inference(fof_simplification,[status(thm)],[c_0_86])).++fof(c_0_561,plain,(+ lhs_atom423 ),+ inference(fof_simplification,[status(thm)],[c_0_87])).++fof(c_0_562,plain,(+ lhs_atom422 ),+ inference(fof_simplification,[status(thm)],[c_0_88])).++fof(c_0_563,plain,(+ lhs_atom421 ),+ inference(fof_simplification,[status(thm)],[c_0_89])).++fof(c_0_564,plain,(+ lhs_atom420 ),+ inference(fof_simplification,[status(thm)],[c_0_90])).++fof(c_0_565,plain,(+ lhs_atom419 ),+ inference(fof_simplification,[status(thm)],[c_0_91])).++fof(c_0_566,plain,(+ lhs_atom418 ),+ inference(fof_simplification,[status(thm)],[c_0_92])).++fof(c_0_567,plain,(+ lhs_atom417 ),+ inference(fof_simplification,[status(thm)],[c_0_93])).++fof(c_0_568,plain,(+ lhs_atom416 ),+ inference(fof_simplification,[status(thm)],[c_0_94])).++fof(c_0_569,plain,(+ lhs_atom415 ),+ inference(fof_simplification,[status(thm)],[c_0_95])).++fof(c_0_570,plain,(+ lhs_atom414 ),+ inference(fof_simplification,[status(thm)],[c_0_96])).++fof(c_0_571,plain,(+ lhs_atom413 ),+ inference(fof_simplification,[status(thm)],[c_0_97])).++fof(c_0_572,plain,(+ lhs_atom412 ),+ inference(fof_simplification,[status(thm)],[c_0_98])).++fof(c_0_573,plain,(+ lhs_atom411 ),+ inference(fof_simplification,[status(thm)],[c_0_99])).++fof(c_0_574,plain,(+ lhs_atom410 ),+ inference(fof_simplification,[status(thm)],[c_0_100])).++fof(c_0_575,plain,(+ lhs_atom409 ),+ inference(fof_simplification,[status(thm)],[c_0_101])).++fof(c_0_576,plain,(+ lhs_atom408 ),+ inference(fof_simplification,[status(thm)],[c_0_102])).++fof(c_0_577,plain,(+ lhs_atom407 ),+ inference(fof_simplification,[status(thm)],[c_0_103])).++fof(c_0_578,plain,(+ lhs_atom406 ),+ inference(fof_simplification,[status(thm)],[c_0_104])).++fof(c_0_579,plain,(+ lhs_atom405 ),+ inference(fof_simplification,[status(thm)],[c_0_105])).++fof(c_0_580,plain,(+ lhs_atom404 ),+ inference(fof_simplification,[status(thm)],[c_0_106])).++fof(c_0_581,plain,(+ lhs_atom403 ),+ inference(fof_simplification,[status(thm)],[c_0_107])).++fof(c_0_582,plain,(+ lhs_atom402 ),+ inference(fof_simplification,[status(thm)],[c_0_108])).++fof(c_0_583,plain,(+ lhs_atom401 ),+ inference(fof_simplification,[status(thm)],[c_0_109])).++fof(c_0_584,plain,(+ lhs_atom400 ),+ inference(fof_simplification,[status(thm)],[c_0_110])).++fof(c_0_585,plain,(+ lhs_atom399 ),+ inference(fof_simplification,[status(thm)],[c_0_111])).++fof(c_0_586,plain,(+ lhs_atom398 ),+ inference(fof_simplification,[status(thm)],[c_0_112])).++fof(c_0_587,plain,(+ lhs_atom397 ),+ inference(fof_simplification,[status(thm)],[c_0_113])).++fof(c_0_588,plain,(+ lhs_atom396 ),+ inference(fof_simplification,[status(thm)],[c_0_114])).++fof(c_0_589,plain,(+ lhs_atom395 ),+ inference(fof_simplification,[status(thm)],[c_0_115])).++fof(c_0_590,plain,(+ lhs_atom394 ),+ inference(fof_simplification,[status(thm)],[c_0_116])).++fof(c_0_591,plain,(+ lhs_atom393 ),+ inference(fof_simplification,[status(thm)],[c_0_117])).++fof(c_0_592,plain,(+ lhs_atom392 ),+ inference(fof_simplification,[status(thm)],[c_0_118])).++fof(c_0_593,plain,(+ lhs_atom391 ),+ inference(fof_simplification,[status(thm)],[c_0_119])).++fof(c_0_594,plain,(+ lhs_atom390 ),+ inference(fof_simplification,[status(thm)],[c_0_120])).++fof(c_0_595,plain,(+ lhs_atom389 ),+ inference(fof_simplification,[status(thm)],[c_0_121])).++fof(c_0_596,plain,(+ lhs_atom388 ),+ inference(fof_simplification,[status(thm)],[c_0_122])).++fof(c_0_597,plain,(+ lhs_atom387 ),+ inference(fof_simplification,[status(thm)],[c_0_123])).++fof(c_0_598,plain,(+ lhs_atom386 ),+ inference(fof_simplification,[status(thm)],[c_0_124])).++fof(c_0_599,plain,(+ lhs_atom385 ),+ inference(fof_simplification,[status(thm)],[c_0_125])).++fof(c_0_600,plain,(+ lhs_atom384 ),+ inference(fof_simplification,[status(thm)],[c_0_126])).++fof(c_0_601,plain,(+ lhs_atom383 ),+ inference(fof_simplification,[status(thm)],[c_0_127])).++fof(c_0_602,plain,(+ lhs_atom382 ),+ inference(fof_simplification,[status(thm)],[c_0_128])).++fof(c_0_603,plain,(+ lhs_atom381 ),+ inference(fof_simplification,[status(thm)],[c_0_129])).++fof(c_0_604,plain,(+ lhs_atom380 ),+ inference(fof_simplification,[status(thm)],[c_0_130])).++fof(c_0_605,plain,(+ lhs_atom379 ),+ inference(fof_simplification,[status(thm)],[c_0_131])).++fof(c_0_606,plain,(+ lhs_atom378 ),+ inference(fof_simplification,[status(thm)],[c_0_132])).++fof(c_0_607,plain,(+ lhs_atom377 ),+ inference(fof_simplification,[status(thm)],[c_0_133])).++fof(c_0_608,plain,(+ lhs_atom376 ),+ inference(fof_simplification,[status(thm)],[c_0_134])).++fof(c_0_609,plain,(+ lhs_atom375 ),+ inference(fof_simplification,[status(thm)],[c_0_135])).++fof(c_0_610,plain,(+ lhs_atom374 ),+ inference(fof_simplification,[status(thm)],[c_0_136])).++fof(c_0_611,plain,(+ lhs_atom373 ),+ inference(fof_simplification,[status(thm)],[c_0_137])).++fof(c_0_612,plain,(+ lhs_atom372 ),+ inference(fof_simplification,[status(thm)],[c_0_138])).++fof(c_0_613,plain,(+ lhs_atom371 ),+ inference(fof_simplification,[status(thm)],[c_0_139])).++fof(c_0_614,plain,(+ lhs_atom370 ),+ inference(fof_simplification,[status(thm)],[c_0_140])).++fof(c_0_615,plain,(+ lhs_atom369 ),+ inference(fof_simplification,[status(thm)],[c_0_141])).++fof(c_0_616,plain,(+ lhs_atom368 ),+ inference(fof_simplification,[status(thm)],[c_0_142])).++fof(c_0_617,plain,(+ lhs_atom367 ),+ inference(fof_simplification,[status(thm)],[c_0_143])).++fof(c_0_618,plain,(+ lhs_atom366 ),+ inference(fof_simplification,[status(thm)],[c_0_144])).++fof(c_0_619,plain,(+ lhs_atom365 ),+ inference(fof_simplification,[status(thm)],[c_0_145])).++fof(c_0_620,plain,(+ lhs_atom364 ),+ inference(fof_simplification,[status(thm)],[c_0_146])).++fof(c_0_621,plain,(+ lhs_atom363 ),+ inference(fof_simplification,[status(thm)],[c_0_147])).++fof(c_0_622,plain,(+ lhs_atom362 ),+ inference(fof_simplification,[status(thm)],[c_0_148])).++fof(c_0_623,plain,(+ lhs_atom361 ),+ inference(fof_simplification,[status(thm)],[c_0_149])).++fof(c_0_624,plain,(+ lhs_atom360 ),+ inference(fof_simplification,[status(thm)],[c_0_150])).++fof(c_0_625,plain,(+ lhs_atom359 ),+ inference(fof_simplification,[status(thm)],[c_0_151])).++fof(c_0_626,plain,(+ lhs_atom358 ),+ inference(fof_simplification,[status(thm)],[c_0_152])).++fof(c_0_627,plain,(+ lhs_atom357 ),+ inference(fof_simplification,[status(thm)],[c_0_153])).++fof(c_0_628,plain,(+ lhs_atom356 ),+ inference(fof_simplification,[status(thm)],[c_0_154])).++fof(c_0_629,plain,(+ lhs_atom355 ),+ inference(fof_simplification,[status(thm)],[c_0_155])).++fof(c_0_630,plain,(+ lhs_atom354 ),+ inference(fof_simplification,[status(thm)],[c_0_156])).++fof(c_0_631,plain,(+ lhs_atom353 ),+ inference(fof_simplification,[status(thm)],[c_0_157])).++fof(c_0_632,plain,(+ lhs_atom352 ),+ inference(fof_simplification,[status(thm)],[c_0_158])).++fof(c_0_633,plain,(+ lhs_atom351 ),+ inference(fof_simplification,[status(thm)],[c_0_159])).++fof(c_0_634,plain,(+ lhs_atom350 ),+ inference(fof_simplification,[status(thm)],[c_0_160])).++fof(c_0_635,plain,(+ lhs_atom349 ),+ inference(fof_simplification,[status(thm)],[c_0_161])).++fof(c_0_636,plain,(+ lhs_atom348 ),+ inference(fof_simplification,[status(thm)],[c_0_162])).++fof(c_0_637,plain,(+ lhs_atom347 ),+ inference(fof_simplification,[status(thm)],[c_0_163])).++fof(c_0_638,plain,(+ lhs_atom346 ),+ inference(fof_simplification,[status(thm)],[c_0_164])).++fof(c_0_639,plain,(+ lhs_atom345 ),+ inference(fof_simplification,[status(thm)],[c_0_165])).++fof(c_0_640,plain,(+ lhs_atom344 ),+ inference(fof_simplification,[status(thm)],[c_0_166])).++fof(c_0_641,plain,(+ lhs_atom343 ),+ inference(fof_simplification,[status(thm)],[c_0_167])).++fof(c_0_642,plain,(+ lhs_atom342 ),+ inference(fof_simplification,[status(thm)],[c_0_168])).++fof(c_0_643,plain,(+ lhs_atom341 ),+ inference(fof_simplification,[status(thm)],[c_0_169])).++fof(c_0_644,plain,(+ lhs_atom340 ),+ inference(fof_simplification,[status(thm)],[c_0_170])).++fof(c_0_645,plain,(+ lhs_atom339 ),+ inference(fof_simplification,[status(thm)],[c_0_171])).++fof(c_0_646,plain,(+ lhs_atom338 ),+ inference(fof_simplification,[status(thm)],[c_0_172])).++fof(c_0_647,plain,(+ lhs_atom337 ),+ inference(fof_simplification,[status(thm)],[c_0_173])).++fof(c_0_648,plain,(+ lhs_atom336 ),+ inference(fof_simplification,[status(thm)],[c_0_174])).++fof(c_0_649,plain,(+ lhs_atom335 ),+ inference(fof_simplification,[status(thm)],[c_0_175])).++fof(c_0_650,plain,(+ lhs_atom334 ),+ inference(fof_simplification,[status(thm)],[c_0_176])).++fof(c_0_651,plain,(+ lhs_atom333 ),+ inference(fof_simplification,[status(thm)],[c_0_177])).++fof(c_0_652,plain,(+ lhs_atom332 ),+ inference(fof_simplification,[status(thm)],[c_0_178])).++fof(c_0_653,plain,(+ lhs_atom331 ),+ inference(fof_simplification,[status(thm)],[c_0_179])).++fof(c_0_654,plain,(+ lhs_atom330 ),+ inference(fof_simplification,[status(thm)],[c_0_180])).++fof(c_0_655,plain,(+ lhs_atom329 ),+ inference(fof_simplification,[status(thm)],[c_0_181])).++fof(c_0_656,plain,(+ lhs_atom328 ),+ inference(fof_simplification,[status(thm)],[c_0_182])).++fof(c_0_657,plain,(+ lhs_atom327 ),+ inference(fof_simplification,[status(thm)],[c_0_183])).++fof(c_0_658,plain,(+ lhs_atom326 ),+ inference(fof_simplification,[status(thm)],[c_0_184])).++fof(c_0_659,plain,(+ lhs_atom325 ),+ inference(fof_simplification,[status(thm)],[c_0_185])).++fof(c_0_660,plain,(+ lhs_atom324 ),+ inference(fof_simplification,[status(thm)],[c_0_186])).++fof(c_0_661,plain,(+ lhs_atom323 ),+ inference(fof_simplification,[status(thm)],[c_0_187])).++fof(c_0_662,plain,(+ lhs_atom322 ),+ inference(fof_simplification,[status(thm)],[c_0_188])).++fof(c_0_663,plain,(+ lhs_atom321 ),+ inference(fof_simplification,[status(thm)],[c_0_189])).++fof(c_0_664,plain,(+ lhs_atom320 ),+ inference(fof_simplification,[status(thm)],[c_0_190])).++fof(c_0_665,plain,(+ lhs_atom319 ),+ inference(fof_simplification,[status(thm)],[c_0_191])).++fof(c_0_666,plain,(+ lhs_atom318 ),+ inference(fof_simplification,[status(thm)],[c_0_192])).++fof(c_0_667,plain,(+ lhs_atom317 ),+ inference(fof_simplification,[status(thm)],[c_0_193])).++fof(c_0_668,plain,(+ lhs_atom316 ),+ inference(fof_simplification,[status(thm)],[c_0_194])).++fof(c_0_669,plain,(+ lhs_atom315 ),+ inference(fof_simplification,[status(thm)],[c_0_195])).++fof(c_0_670,plain,(+ lhs_atom314 ),+ inference(fof_simplification,[status(thm)],[c_0_196])).++fof(c_0_671,plain,(+ lhs_atom313 ),+ inference(fof_simplification,[status(thm)],[c_0_197])).++fof(c_0_672,plain,(+ lhs_atom312 ),+ inference(fof_simplification,[status(thm)],[c_0_198])).++fof(c_0_673,plain,(+ lhs_atom311 ),+ inference(fof_simplification,[status(thm)],[c_0_199])).++fof(c_0_674,plain,(+ lhs_atom310 ),+ inference(fof_simplification,[status(thm)],[c_0_200])).++fof(c_0_675,plain,(+ lhs_atom309 ),+ inference(fof_simplification,[status(thm)],[c_0_201])).++fof(c_0_676,plain,(+ lhs_atom308 ),+ inference(fof_simplification,[status(thm)],[c_0_202])).++fof(c_0_677,plain,(+ lhs_atom307 ),+ inference(fof_simplification,[status(thm)],[c_0_203])).++fof(c_0_678,plain,(+ lhs_atom306 ),+ inference(fof_simplification,[status(thm)],[c_0_204])).++fof(c_0_679,plain,(+ lhs_atom305 ),+ inference(fof_simplification,[status(thm)],[c_0_205])).++fof(c_0_680,plain,(+ lhs_atom304 ),+ inference(fof_simplification,[status(thm)],[c_0_206])).++fof(c_0_681,plain,(+ lhs_atom303 ),+ inference(fof_simplification,[status(thm)],[c_0_207])).++fof(c_0_682,plain,(+ lhs_atom302 ),+ inference(fof_simplification,[status(thm)],[c_0_208])).++fof(c_0_683,plain,(+ lhs_atom301 ),+ inference(fof_simplification,[status(thm)],[c_0_209])).++fof(c_0_684,plain,(+ lhs_atom300 ),+ inference(fof_simplification,[status(thm)],[c_0_210])).++fof(c_0_685,plain,(+ lhs_atom299 ),+ inference(fof_simplification,[status(thm)],[c_0_211])).++fof(c_0_686,plain,(+ lhs_atom298 ),+ inference(fof_simplification,[status(thm)],[c_0_212])).++fof(c_0_687,plain,(+ lhs_atom297 ),+ inference(fof_simplification,[status(thm)],[c_0_213])).++fof(c_0_688,plain,(+ lhs_atom296 ),+ inference(fof_simplification,[status(thm)],[c_0_214])).++fof(c_0_689,plain,(+ lhs_atom295 ),+ inference(fof_simplification,[status(thm)],[c_0_215])).++fof(c_0_690,plain,(+ lhs_atom294 ),+ inference(fof_simplification,[status(thm)],[c_0_216])).++fof(c_0_691,plain,(+ lhs_atom293 ),+ inference(fof_simplification,[status(thm)],[c_0_217])).++fof(c_0_692,plain,(+ lhs_atom292 ),+ inference(fof_simplification,[status(thm)],[c_0_218])).++fof(c_0_693,plain,(+ lhs_atom291 ),+ inference(fof_simplification,[status(thm)],[c_0_219])).++fof(c_0_694,plain,(+ lhs_atom290 ),+ inference(fof_simplification,[status(thm)],[c_0_220])).++fof(c_0_695,plain,(+ lhs_atom289 ),+ inference(fof_simplification,[status(thm)],[c_0_221])).++fof(c_0_696,plain,(+ lhs_atom288 ),+ inference(fof_simplification,[status(thm)],[c_0_222])).++fof(c_0_697,plain,(+ lhs_atom287 ),+ inference(fof_simplification,[status(thm)],[c_0_223])).++fof(c_0_698,plain,(+ lhs_atom286 ),+ inference(fof_simplification,[status(thm)],[c_0_224])).++fof(c_0_699,plain,(+ lhs_atom285 ),+ inference(fof_simplification,[status(thm)],[c_0_225])).++fof(c_0_700,plain,(+ lhs_atom284 ),+ inference(fof_simplification,[status(thm)],[c_0_226])).++fof(c_0_701,plain,(+ lhs_atom283 ),+ inference(fof_simplification,[status(thm)],[c_0_227])).++fof(c_0_702,plain,(+ lhs_atom282 ),+ inference(fof_simplification,[status(thm)],[c_0_228])).++fof(c_0_703,plain,(+ lhs_atom281 ),+ inference(fof_simplification,[status(thm)],[c_0_229])).++fof(c_0_704,plain,(+ lhs_atom280 ),+ inference(fof_simplification,[status(thm)],[c_0_230])).++fof(c_0_705,plain,(+ lhs_atom279 ),+ inference(fof_simplification,[status(thm)],[c_0_231])).++fof(c_0_706,plain,(+ lhs_atom278 ),+ inference(fof_simplification,[status(thm)],[c_0_232])).++fof(c_0_707,plain,(+ lhs_atom277 ),+ inference(fof_simplification,[status(thm)],[c_0_233])).++fof(c_0_708,plain,(+ lhs_atom276 ),+ inference(fof_simplification,[status(thm)],[c_0_234])).++fof(c_0_709,plain,(+ lhs_atom275 ),+ inference(fof_simplification,[status(thm)],[c_0_235])).++fof(c_0_710,plain,(+ lhs_atom274 ),+ inference(fof_simplification,[status(thm)],[c_0_236])).++fof(c_0_711,plain,(+ lhs_atom273 ),+ inference(fof_simplification,[status(thm)],[c_0_237])).++fof(c_0_712,plain,(+ lhs_atom272 ),+ inference(fof_simplification,[status(thm)],[c_0_238])).++fof(c_0_713,plain,(+ lhs_atom271 ),+ inference(fof_simplification,[status(thm)],[c_0_239])).++fof(c_0_714,plain,(+ lhs_atom270 ),+ inference(fof_simplification,[status(thm)],[c_0_240])).++fof(c_0_715,plain,(+ lhs_atom269 ),+ inference(fof_simplification,[status(thm)],[c_0_241])).++fof(c_0_716,plain,(+ lhs_atom268 ),+ inference(fof_simplification,[status(thm)],[c_0_242])).++fof(c_0_717,plain,(+ lhs_atom267 ),+ inference(fof_simplification,[status(thm)],[c_0_243])).++fof(c_0_718,plain,(+ lhs_atom266 ),+ inference(fof_simplification,[status(thm)],[c_0_244])).++fof(c_0_719,plain,(+ lhs_atom265 ),+ inference(fof_simplification,[status(thm)],[c_0_245])).++fof(c_0_720,plain,(+ lhs_atom264 ),+ inference(fof_simplification,[status(thm)],[c_0_246])).++fof(c_0_721,plain,(+ lhs_atom263 ),+ inference(fof_simplification,[status(thm)],[c_0_247])).++fof(c_0_722,plain,(+ lhs_atom262 ),+ inference(fof_simplification,[status(thm)],[c_0_248])).++fof(c_0_723,plain,(+ lhs_atom261 ),+ inference(fof_simplification,[status(thm)],[c_0_249])).++fof(c_0_724,plain,(+ lhs_atom260 ),+ inference(fof_simplification,[status(thm)],[c_0_250])).++fof(c_0_725,plain,(+ lhs_atom223 ),+ inference(fof_simplification,[status(thm)],[c_0_251])).++fof(c_0_726,plain,(+ lhs_atom222 ),+ inference(fof_simplification,[status(thm)],[c_0_252])).++fof(c_0_727,plain,(+ lhs_atom221 ),+ inference(fof_simplification,[status(thm)],[c_0_253])).++fof(c_0_728,plain,(+ lhs_atom220 ),+ inference(fof_simplification,[status(thm)],[c_0_254])).++fof(c_0_729,plain,(+ lhs_atom219 ),+ inference(fof_simplification,[status(thm)],[c_0_255])).++fof(c_0_730,plain,(+ lhs_atom218 ),+ inference(fof_simplification,[status(thm)],[c_0_256])).++fof(c_0_731,plain,(+ lhs_atom217 ),+ inference(fof_simplification,[status(thm)],[c_0_257])).++fof(c_0_732,plain,(+ lhs_atom216 ),+ inference(fof_simplification,[status(thm)],[c_0_258])).++fof(c_0_733,plain,(+ lhs_atom215 ),+ inference(fof_simplification,[status(thm)],[c_0_259])).++fof(c_0_734,plain,(+ lhs_atom214 ),+ inference(fof_simplification,[status(thm)],[c_0_260])).++fof(c_0_735,plain,(+ lhs_atom213 ),+ inference(fof_simplification,[status(thm)],[c_0_261])).++fof(c_0_736,plain,(+ lhs_atom212 ),+ inference(fof_simplification,[status(thm)],[c_0_262])).++fof(c_0_737,plain,(+ lhs_atom211 ),+ inference(fof_simplification,[status(thm)],[c_0_263])).++fof(c_0_738,plain,(+ lhs_atom210 ),+ inference(fof_simplification,[status(thm)],[c_0_264])).++fof(c_0_739,plain,(+ lhs_atom209 ),+ inference(fof_simplification,[status(thm)],[c_0_265])).++fof(c_0_740,plain,(+ lhs_atom208 ),+ inference(fof_simplification,[status(thm)],[c_0_266])).++fof(c_0_741,plain,(+ lhs_atom207 ),+ inference(fof_simplification,[status(thm)],[c_0_267])).++fof(c_0_742,plain,(+ lhs_atom206 ),+ inference(fof_simplification,[status(thm)],[c_0_268])).++fof(c_0_743,plain,(+ lhs_atom205 ),+ inference(fof_simplification,[status(thm)],[c_0_269])).++fof(c_0_744,plain,(+ lhs_atom204 ),+ inference(fof_simplification,[status(thm)],[c_0_270])).++fof(c_0_745,plain,(+ lhs_atom203 ),+ inference(fof_simplification,[status(thm)],[c_0_271])).++fof(c_0_746,plain,(+ lhs_atom202 ),+ inference(fof_simplification,[status(thm)],[c_0_272])).++fof(c_0_747,plain,(+ lhs_atom201 ),+ inference(fof_simplification,[status(thm)],[c_0_273])).++fof(c_0_748,plain,(+ lhs_atom200 ),+ inference(fof_simplification,[status(thm)],[c_0_274])).++fof(c_0_749,plain,(+ lhs_atom199 ),+ inference(fof_simplification,[status(thm)],[c_0_275])).++fof(c_0_750,plain,(+ lhs_atom198 ),+ inference(fof_simplification,[status(thm)],[c_0_276])).++fof(c_0_751,plain,(+ lhs_atom197 ),+ inference(fof_simplification,[status(thm)],[c_0_277])).++fof(c_0_752,plain,(+ lhs_atom196 ),+ inference(fof_simplification,[status(thm)],[c_0_278])).++fof(c_0_753,plain,(+ lhs_atom195 ),+ inference(fof_simplification,[status(thm)],[c_0_279])).++fof(c_0_754,plain,(+ lhs_atom194 ),+ inference(fof_simplification,[status(thm)],[c_0_280])).++fof(c_0_755,plain,(+ lhs_atom193 ),+ inference(fof_simplification,[status(thm)],[c_0_281])).++fof(c_0_756,plain,(+ lhs_atom192 ),+ inference(fof_simplification,[status(thm)],[c_0_282])).++fof(c_0_757,plain,(+ lhs_atom191 ),+ inference(fof_simplification,[status(thm)],[c_0_283])).++fof(c_0_758,plain,(+ lhs_atom190 ),+ inference(fof_simplification,[status(thm)],[c_0_284])).++fof(c_0_759,plain,(+ lhs_atom189 ),+ inference(fof_simplification,[status(thm)],[c_0_285])).++fof(c_0_760,plain,(+ lhs_atom188 ),+ inference(fof_simplification,[status(thm)],[c_0_286])).++fof(c_0_761,plain,(+ lhs_atom187 ),+ inference(fof_simplification,[status(thm)],[c_0_287])).++fof(c_0_762,plain,(+ lhs_atom186 ),+ inference(fof_simplification,[status(thm)],[c_0_288])).++fof(c_0_763,plain,(+ lhs_atom185 ),+ inference(fof_simplification,[status(thm)],[c_0_289])).++fof(c_0_764,plain,(+ lhs_atom184 ),+ inference(fof_simplification,[status(thm)],[c_0_290])).++fof(c_0_765,plain,(+ lhs_atom183 ),+ inference(fof_simplification,[status(thm)],[c_0_291])).++fof(c_0_766,plain,(+ lhs_atom182 ),+ inference(fof_simplification,[status(thm)],[c_0_292])).++fof(c_0_767,plain,(+ lhs_atom181 ),+ inference(fof_simplification,[status(thm)],[c_0_293])).++fof(c_0_768,plain,(+ lhs_atom180 ),+ inference(fof_simplification,[status(thm)],[c_0_294])).++fof(c_0_769,plain,(+ lhs_atom179 ),+ inference(fof_simplification,[status(thm)],[c_0_295])).++fof(c_0_770,plain,(+ lhs_atom178 ),+ inference(fof_simplification,[status(thm)],[c_0_296])).++fof(c_0_771,plain,(+ lhs_atom177 ),+ inference(fof_simplification,[status(thm)],[c_0_297])).++fof(c_0_772,plain,(+ lhs_atom176 ),+ inference(fof_simplification,[status(thm)],[c_0_298])).++fof(c_0_773,plain,(+ lhs_atom175 ),+ inference(fof_simplification,[status(thm)],[c_0_299])).++fof(c_0_774,plain,(+ lhs_atom174 ),+ inference(fof_simplification,[status(thm)],[c_0_300])).++fof(c_0_775,plain,(+ lhs_atom173 ),+ inference(fof_simplification,[status(thm)],[c_0_301])).++fof(c_0_776,plain,(+ lhs_atom172 ),+ inference(fof_simplification,[status(thm)],[c_0_302])).++fof(c_0_777,plain,(+ lhs_atom171 ),+ inference(fof_simplification,[status(thm)],[c_0_303])).++fof(c_0_778,plain,(+ lhs_atom170 ),+ inference(fof_simplification,[status(thm)],[c_0_304])).++fof(c_0_779,plain,(+ lhs_atom169 ),+ inference(fof_simplification,[status(thm)],[c_0_305])).++fof(c_0_780,plain,(+ lhs_atom168 ),+ inference(fof_simplification,[status(thm)],[c_0_306])).++fof(c_0_781,plain,(+ lhs_atom167 ),+ inference(fof_simplification,[status(thm)],[c_0_307])).++fof(c_0_782,plain,(+ lhs_atom166 ),+ inference(fof_simplification,[status(thm)],[c_0_308])).++fof(c_0_783,plain,(+ lhs_atom165 ),+ inference(fof_simplification,[status(thm)],[c_0_309])).++fof(c_0_784,plain,(+ lhs_atom164 ),+ inference(fof_simplification,[status(thm)],[c_0_310])).++fof(c_0_785,plain,(+ lhs_atom163 ),+ inference(fof_simplification,[status(thm)],[c_0_311])).++fof(c_0_786,plain,(+ lhs_atom162 ),+ inference(fof_simplification,[status(thm)],[c_0_312])).++fof(c_0_787,plain,(+ lhs_atom161 ),+ inference(fof_simplification,[status(thm)],[c_0_313])).++fof(c_0_788,plain,(+ lhs_atom160 ),+ inference(fof_simplification,[status(thm)],[c_0_314])).++fof(c_0_789,plain,(+ lhs_atom159 ),+ inference(fof_simplification,[status(thm)],[c_0_315])).++fof(c_0_790,plain,(+ lhs_atom158 ),+ inference(fof_simplification,[status(thm)],[c_0_316])).++fof(c_0_791,plain,(+ lhs_atom157 ),+ inference(fof_simplification,[status(thm)],[c_0_317])).++fof(c_0_792,plain,(+ lhs_atom156 ),+ inference(fof_simplification,[status(thm)],[c_0_318])).++fof(c_0_793,plain,(+ lhs_atom155 ),+ inference(fof_simplification,[status(thm)],[c_0_319])).++fof(c_0_794,plain,(+ lhs_atom154 ),+ inference(fof_simplification,[status(thm)],[c_0_320])).++fof(c_0_795,plain,(+ lhs_atom153 ),+ inference(fof_simplification,[status(thm)],[c_0_321])).++fof(c_0_796,plain,(+ lhs_atom152 ),+ inference(fof_simplification,[status(thm)],[c_0_322])).++fof(c_0_797,plain,(+ lhs_atom151 ),+ inference(fof_simplification,[status(thm)],[c_0_323])).++fof(c_0_798,plain,(+ lhs_atom150 ),+ inference(fof_simplification,[status(thm)],[c_0_324])).++fof(c_0_799,plain,(+ lhs_atom149 ),+ inference(fof_simplification,[status(thm)],[c_0_325])).++fof(c_0_800,plain,(+ lhs_atom148 ),+ inference(fof_simplification,[status(thm)],[c_0_326])).++fof(c_0_801,plain,(+ lhs_atom147 ),+ inference(fof_simplification,[status(thm)],[c_0_327])).++fof(c_0_802,plain,(+ lhs_atom146 ),+ inference(fof_simplification,[status(thm)],[c_0_328])).++fof(c_0_803,plain,(+ lhs_atom145 ),+ inference(fof_simplification,[status(thm)],[c_0_329])).++fof(c_0_804,plain,(+ lhs_atom144 ),+ inference(fof_simplification,[status(thm)],[c_0_330])).++fof(c_0_805,plain,(+ lhs_atom143 ),+ inference(fof_simplification,[status(thm)],[c_0_331])).++fof(c_0_806,plain,(+ lhs_atom142 ),+ inference(fof_simplification,[status(thm)],[c_0_332])).++fof(c_0_807,plain,(+ lhs_atom141 ),+ inference(fof_simplification,[status(thm)],[c_0_333])).++fof(c_0_808,plain,(+ lhs_atom140 ),+ inference(fof_simplification,[status(thm)],[c_0_334])).++fof(c_0_809,plain,(+ lhs_atom139 ),+ inference(fof_simplification,[status(thm)],[c_0_335])).++fof(c_0_810,plain,(+ lhs_atom138 ),+ inference(fof_simplification,[status(thm)],[c_0_336])).++fof(c_0_811,plain,(+ lhs_atom137 ),+ inference(fof_simplification,[status(thm)],[c_0_337])).++fof(c_0_812,plain,(+ lhs_atom136 ),+ inference(fof_simplification,[status(thm)],[c_0_338])).++fof(c_0_813,plain,(+ lhs_atom135 ),+ inference(fof_simplification,[status(thm)],[c_0_339])).++fof(c_0_814,plain,(+ lhs_atom134 ),+ inference(fof_simplification,[status(thm)],[c_0_340])).++fof(c_0_815,plain,(+ lhs_atom133 ),+ inference(fof_simplification,[status(thm)],[c_0_341])).++fof(c_0_816,plain,(+ lhs_atom132 ),+ inference(fof_simplification,[status(thm)],[c_0_342])).++fof(c_0_817,plain,(+ lhs_atom131 ),+ inference(fof_simplification,[status(thm)],[c_0_343])).++fof(c_0_818,plain,(+ lhs_atom130 ),+ inference(fof_simplification,[status(thm)],[c_0_344])).++fof(c_0_819,plain,(+ lhs_atom129 ),+ inference(fof_simplification,[status(thm)],[c_0_345])).++fof(c_0_820,plain,(+ lhs_atom128 ),+ inference(fof_simplification,[status(thm)],[c_0_346])).++fof(c_0_821,plain,(+ lhs_atom127 ),+ inference(fof_simplification,[status(thm)],[c_0_347])).++fof(c_0_822,plain,(+ lhs_atom126 ),+ inference(fof_simplification,[status(thm)],[c_0_348])).++fof(c_0_823,plain,(+ lhs_atom125 ),+ inference(fof_simplification,[status(thm)],[c_0_349])).++fof(c_0_824,plain,(+ lhs_atom124 ),+ inference(fof_simplification,[status(thm)],[c_0_350])).++fof(c_0_825,plain,(+ lhs_atom123 ),+ inference(fof_simplification,[status(thm)],[c_0_351])).++fof(c_0_826,plain,(+ lhs_atom122 ),+ inference(fof_simplification,[status(thm)],[c_0_352])).++fof(c_0_827,plain,(+ lhs_atom121 ),+ inference(fof_simplification,[status(thm)],[c_0_353])).++fof(c_0_828,plain,(+ lhs_atom120 ),+ inference(fof_simplification,[status(thm)],[c_0_354])).++fof(c_0_829,plain,(+ lhs_atom119 ),+ inference(fof_simplification,[status(thm)],[c_0_355])).++fof(c_0_830,plain,(+ lhs_atom118 ),+ inference(fof_simplification,[status(thm)],[c_0_356])).++fof(c_0_831,plain,(+ lhs_atom117 ),+ inference(fof_simplification,[status(thm)],[c_0_357])).++fof(c_0_832,plain,(+ lhs_atom116 ),+ inference(fof_simplification,[status(thm)],[c_0_358])).++fof(c_0_833,plain,(+ lhs_atom115 ),+ inference(fof_simplification,[status(thm)],[c_0_359])).++fof(c_0_834,plain,(+ lhs_atom114 ),+ inference(fof_simplification,[status(thm)],[c_0_360])).++fof(c_0_835,plain,(+ lhs_atom113 ),+ inference(fof_simplification,[status(thm)],[c_0_361])).++fof(c_0_836,plain,(+ lhs_atom112 ),+ inference(fof_simplification,[status(thm)],[c_0_362])).++fof(c_0_837,plain,(+ lhs_atom111 ),+ inference(fof_simplification,[status(thm)],[c_0_363])).++fof(c_0_838,plain,(+ lhs_atom110 ),+ inference(fof_simplification,[status(thm)],[c_0_364])).++fof(c_0_839,plain,(+ lhs_atom109 ),+ inference(fof_simplification,[status(thm)],[c_0_365])).++fof(c_0_840,plain,(+ lhs_atom108 ),+ inference(fof_simplification,[status(thm)],[c_0_366])).++fof(c_0_841,plain,(+ lhs_atom107 ),+ inference(fof_simplification,[status(thm)],[c_0_367])).++fof(c_0_842,plain,(+ lhs_atom106 ),+ inference(fof_simplification,[status(thm)],[c_0_368])).++fof(c_0_843,plain,(+ lhs_atom105 ),+ inference(fof_simplification,[status(thm)],[c_0_369])).++fof(c_0_844,plain,(+ lhs_atom104 ),+ inference(fof_simplification,[status(thm)],[c_0_370])).++fof(c_0_845,plain,(+ lhs_atom103 ),+ inference(fof_simplification,[status(thm)],[c_0_371])).++fof(c_0_846,plain,(+ lhs_atom102 ),+ inference(fof_simplification,[status(thm)],[c_0_372])).++fof(c_0_847,plain,(+ lhs_atom101 ),+ inference(fof_simplification,[status(thm)],[c_0_373])).++fof(c_0_848,plain,(+ lhs_atom100 ),+ inference(fof_simplification,[status(thm)],[c_0_374])).++fof(c_0_849,plain,(+ lhs_atom99 ),+ inference(fof_simplification,[status(thm)],[c_0_375])).++fof(c_0_850,plain,(+ lhs_atom98 ),+ inference(fof_simplification,[status(thm)],[c_0_376])).++fof(c_0_851,plain,(+ lhs_atom97 ),+ inference(fof_simplification,[status(thm)],[c_0_377])).++fof(c_0_852,plain,(+ lhs_atom96 ),+ inference(fof_simplification,[status(thm)],[c_0_378])).++fof(c_0_853,plain,(+ lhs_atom95 ),+ inference(fof_simplification,[status(thm)],[c_0_379])).++fof(c_0_854,plain,(+ lhs_atom94 ),+ inference(fof_simplification,[status(thm)],[c_0_380])).++fof(c_0_855,plain,(+ lhs_atom93 ),+ inference(fof_simplification,[status(thm)],[c_0_381])).++fof(c_0_856,plain,(+ lhs_atom92 ),+ inference(fof_simplification,[status(thm)],[c_0_382])).++fof(c_0_857,plain,(+ lhs_atom91 ),+ inference(fof_simplification,[status(thm)],[c_0_383])).++fof(c_0_858,plain,(+ lhs_atom90 ),+ inference(fof_simplification,[status(thm)],[c_0_384])).++fof(c_0_859,plain,(+ lhs_atom89 ),+ inference(fof_simplification,[status(thm)],[c_0_385])).++fof(c_0_860,plain,(+ lhs_atom88 ),+ inference(fof_simplification,[status(thm)],[c_0_386])).++fof(c_0_861,plain,(+ lhs_atom87 ),+ inference(fof_simplification,[status(thm)],[c_0_387])).++fof(c_0_862,plain,(+ lhs_atom86 ),+ inference(fof_simplification,[status(thm)],[c_0_388])).++fof(c_0_863,plain,(+ lhs_atom85 ),+ inference(fof_simplification,[status(thm)],[c_0_389])).++fof(c_0_864,plain,(+ lhs_atom84 ),+ inference(fof_simplification,[status(thm)],[c_0_390])).++fof(c_0_865,plain,(+ lhs_atom83 ),+ inference(fof_simplification,[status(thm)],[c_0_391])).++fof(c_0_866,plain,(+ lhs_atom82 ),+ inference(fof_simplification,[status(thm)],[c_0_392])).++fof(c_0_867,plain,(+ lhs_atom81 ),+ inference(fof_simplification,[status(thm)],[c_0_393])).++fof(c_0_868,plain,(+ lhs_atom80 ),+ inference(fof_simplification,[status(thm)],[c_0_394])).++fof(c_0_869,plain,(+ lhs_atom79 ),+ inference(fof_simplification,[status(thm)],[c_0_395])).++fof(c_0_870,plain,(+ lhs_atom78 ),+ inference(fof_simplification,[status(thm)],[c_0_396])).++fof(c_0_871,plain,(+ lhs_atom77 ),+ inference(fof_simplification,[status(thm)],[c_0_397])).++fof(c_0_872,plain,(+ lhs_atom76 ),+ inference(fof_simplification,[status(thm)],[c_0_398])).++fof(c_0_873,plain,(+ lhs_atom75 ),+ inference(fof_simplification,[status(thm)],[c_0_399])).++fof(c_0_874,plain,(+ lhs_atom74 ),+ inference(fof_simplification,[status(thm)],[c_0_400])).++fof(c_0_875,plain,(+ lhs_atom73 ),+ inference(fof_simplification,[status(thm)],[c_0_401])).++fof(c_0_876,plain,(+ lhs_atom72 ),+ inference(fof_simplification,[status(thm)],[c_0_402])).++fof(c_0_877,plain,(+ lhs_atom71 ),+ inference(fof_simplification,[status(thm)],[c_0_403])).++fof(c_0_878,plain,(+ lhs_atom70 ),+ inference(fof_simplification,[status(thm)],[c_0_404])).++fof(c_0_879,plain,(+ lhs_atom69 ),+ inference(fof_simplification,[status(thm)],[c_0_405])).++fof(c_0_880,plain,(+ lhs_atom68 ),+ inference(fof_simplification,[status(thm)],[c_0_406])).++fof(c_0_881,plain,(+ lhs_atom67 ),+ inference(fof_simplification,[status(thm)],[c_0_407])).++fof(c_0_882,plain,(+ lhs_atom66 ),+ inference(fof_simplification,[status(thm)],[c_0_408])).++fof(c_0_883,plain,(+ lhs_atom65 ),+ inference(fof_simplification,[status(thm)],[c_0_409])).++fof(c_0_884,plain,(+ lhs_atom64 ),+ inference(fof_simplification,[status(thm)],[c_0_410])).++fof(c_0_885,plain,(+ lhs_atom63 ),+ inference(fof_simplification,[status(thm)],[c_0_411])).++fof(c_0_886,plain,(+ lhs_atom62 ),+ inference(fof_simplification,[status(thm)],[c_0_412])).++fof(c_0_887,plain,(+ lhs_atom61 ),+ inference(fof_simplification,[status(thm)],[c_0_413])).++fof(c_0_888,plain,(+ lhs_atom60 ),+ inference(fof_simplification,[status(thm)],[c_0_414])).++fof(c_0_889,plain,(+ lhs_atom59 ),+ inference(fof_simplification,[status(thm)],[c_0_415])).++fof(c_0_890,plain,(+ lhs_atom58 ),+ inference(fof_simplification,[status(thm)],[c_0_416])).++fof(c_0_891,plain,(+ lhs_atom57 ),+ inference(fof_simplification,[status(thm)],[c_0_417])).++fof(c_0_892,plain,(+ lhs_atom56 ),+ inference(fof_simplification,[status(thm)],[c_0_418])).++fof(c_0_893,plain,(+ lhs_atom55 ),+ inference(fof_simplification,[status(thm)],[c_0_419])).++fof(c_0_894,plain,(+ lhs_atom54 ),+ inference(fof_simplification,[status(thm)],[c_0_420])).++fof(c_0_895,plain,(+ lhs_atom53 ),+ inference(fof_simplification,[status(thm)],[c_0_421])).++fof(c_0_896,plain,(+ lhs_atom52 ),+ inference(fof_simplification,[status(thm)],[c_0_422])).++fof(c_0_897,plain,(+ lhs_atom51 ),+ inference(fof_simplification,[status(thm)],[c_0_423])).++fof(c_0_898,plain,(+ lhs_atom50 ),+ inference(fof_simplification,[status(thm)],[c_0_424])).++fof(c_0_899,plain,(+ lhs_atom49 ),+ inference(fof_simplification,[status(thm)],[c_0_425])).++fof(c_0_900,plain,(+ lhs_atom48 ),+ inference(fof_simplification,[status(thm)],[c_0_426])).++fof(c_0_901,plain,(+ lhs_atom47 ),+ inference(fof_simplification,[status(thm)],[c_0_427])).++fof(c_0_902,plain,(+ lhs_atom46 ),+ inference(fof_simplification,[status(thm)],[c_0_428])).++fof(c_0_903,plain,(+ lhs_atom45 ),+ inference(fof_simplification,[status(thm)],[c_0_429])).++fof(c_0_904,plain,(+ lhs_atom44 ),+ inference(fof_simplification,[status(thm)],[c_0_430])).++fof(c_0_905,plain,(+ lhs_atom43 ),+ inference(fof_simplification,[status(thm)],[c_0_431])).++fof(c_0_906,plain,(+ lhs_atom42 ),+ inference(fof_simplification,[status(thm)],[c_0_432])).++fof(c_0_907,plain,(+ lhs_atom41 ),+ inference(fof_simplification,[status(thm)],[c_0_433])).++fof(c_0_908,plain,(+ lhs_atom40 ),+ inference(fof_simplification,[status(thm)],[c_0_434])).++fof(c_0_909,plain,(+ lhs_atom39 ),+ inference(fof_simplification,[status(thm)],[c_0_435])).++fof(c_0_910,plain,(+ lhs_atom38 ),+ inference(fof_simplification,[status(thm)],[c_0_436])).++fof(c_0_911,plain,(+ lhs_atom37 ),+ inference(fof_simplification,[status(thm)],[c_0_437])).++fof(c_0_912,plain,(+ lhs_atom36 ),+ inference(fof_simplification,[status(thm)],[c_0_438])).++fof(c_0_913,plain,(+ lhs_atom35 ),+ inference(fof_simplification,[status(thm)],[c_0_439])).++fof(c_0_914,plain,(+ lhs_atom34 ),+ inference(fof_simplification,[status(thm)],[c_0_440])).++fof(c_0_915,plain,(+ lhs_atom33 ),+ inference(fof_simplification,[status(thm)],[c_0_441])).++fof(c_0_916,plain,(+ lhs_atom32 ),+ inference(fof_simplification,[status(thm)],[c_0_442])).++fof(c_0_917,plain,(+ lhs_atom31 ),+ inference(fof_simplification,[status(thm)],[c_0_443])).++fof(c_0_918,plain,(+ lhs_atom30 ),+ inference(fof_simplification,[status(thm)],[c_0_444])).++fof(c_0_919,plain,(+ lhs_atom29 ),+ inference(fof_simplification,[status(thm)],[c_0_445])).++fof(c_0_920,plain,(+ lhs_atom28 ),+ inference(fof_simplification,[status(thm)],[c_0_446])).++fof(c_0_921,plain,(+ lhs_atom27 ),+ inference(fof_simplification,[status(thm)],[c_0_447])).++fof(c_0_922,plain,(+ lhs_atom26 ),+ inference(fof_simplification,[status(thm)],[c_0_448])).++fof(c_0_923,plain,(+ lhs_atom25 ),+ inference(fof_simplification,[status(thm)],[c_0_449])).++fof(c_0_924,plain,(+ lhs_atom24 ),+ inference(fof_simplification,[status(thm)],[c_0_450])).++fof(c_0_925,plain,(+ lhs_atom23 ),+ inference(fof_simplification,[status(thm)],[c_0_451])).++fof(c_0_926,plain,(+ lhs_atom22 ),+ inference(fof_simplification,[status(thm)],[c_0_452])).++fof(c_0_927,plain,(+ lhs_atom21 ),+ inference(fof_simplification,[status(thm)],[c_0_453])).++fof(c_0_928,plain,(+ lhs_atom20 ),+ inference(fof_simplification,[status(thm)],[c_0_454])).++fof(c_0_929,plain,(+ lhs_atom19 ),+ inference(fof_simplification,[status(thm)],[c_0_455])).++fof(c_0_930,plain,(+ lhs_atom18 ),+ inference(fof_simplification,[status(thm)],[c_0_456])).++fof(c_0_931,plain,(+ lhs_atom17 ),+ inference(fof_simplification,[status(thm)],[c_0_457])).++fof(c_0_932,plain,(+ lhs_atom16 ),+ inference(fof_simplification,[status(thm)],[c_0_458])).++fof(c_0_933,plain,(+ lhs_atom15 ),+ inference(fof_simplification,[status(thm)],[c_0_459])).++fof(c_0_934,plain,(+ lhs_atom14 ),+ inference(fof_simplification,[status(thm)],[c_0_460])).++fof(c_0_935,plain,(+ lhs_atom13 ),+ inference(fof_simplification,[status(thm)],[c_0_461])).++fof(c_0_936,plain,(+ lhs_atom12 ),+ inference(fof_simplification,[status(thm)],[c_0_462])).++fof(c_0_937,plain,(+ lhs_atom11 ),+ inference(fof_simplification,[status(thm)],[c_0_463])).++fof(c_0_938,plain,(+ lhs_atom10 ),+ inference(fof_simplification,[status(thm)],[c_0_464])).++fof(c_0_939,plain,(+ lhs_atom9 ),+ inference(fof_simplification,[status(thm)],[c_0_465])).++fof(c_0_940,plain,(+ lhs_atom8 ),+ inference(fof_simplification,[status(thm)],[c_0_466])).++fof(c_0_941,plain,(+ lhs_atom7 ),+ inference(fof_simplification,[status(thm)],[c_0_467])).++fof(c_0_942,plain,(+ lhs_atom6 ),+ inference(fof_simplification,[status(thm)],[c_0_468])).++fof(c_0_943,plain,(+ lhs_atom5 ),+ inference(fof_simplification,[status(thm)],[c_0_469])).++fof(c_0_944,plain,(+ lhs_atom4 ),+ inference(fof_simplification,[status(thm)],[c_0_470])).++fof(c_0_945,plain,(+ lhs_atom3 ),+ inference(fof_simplification,[status(thm)],[c_0_471])).++fof(c_0_946,plain,(+ lhs_atom2 ),+ inference(fof_simplification,[status(thm)],[c_0_472])).++fof(c_0_947,plain,(+ lhs_atom1 ),+ inference(fof_simplification,[status(thm)],[c_0_473])).++fof(c_0_948,axiom,+ ( lhs_atom259+ | inv(e0) = e0 ),+ c_0_474).++fof(c_0_949,axiom,+ ( lhs_atom258+ | inv(e1) = e0 ),+ c_0_475).++fof(c_0_950,axiom,+ ( lhs_atom257+ | inv(e2) = e0 ),+ c_0_476).++fof(c_0_951,axiom,+ ( lhs_atom256+ | inv(e3) = e0 ),+ c_0_477).++fof(c_0_952,axiom,+ ( lhs_atom255+ | inv(e4) = e0 ),+ c_0_478).++fof(c_0_953,axiom,+ ( lhs_atom254+ | inv(e5) = e0 ),+ c_0_479).++fof(c_0_954,axiom,+ ( lhs_atom253+ | inv(e0) = e1 ),+ c_0_480).++fof(c_0_955,axiom,+ ( lhs_atom252+ | inv(e1) = e1 ),+ c_0_481).++fof(c_0_956,axiom,+ ( lhs_atom251+ | inv(e2) = e1 ),+ c_0_482).++fof(c_0_957,axiom,+ ( lhs_atom250+ | inv(e3) = e1 ),+ c_0_483).++fof(c_0_958,axiom,+ ( lhs_atom249+ | inv(e4) = e1 ),+ c_0_484).++fof(c_0_959,axiom,+ ( lhs_atom248+ | inv(e5) = e1 ),+ c_0_485).++fof(c_0_960,axiom,+ ( lhs_atom247+ | inv(e0) = e2 ),+ c_0_486).++fof(c_0_961,axiom,+ ( lhs_atom246+ | inv(e1) = e2 ),+ c_0_487).++fof(c_0_962,axiom,+ ( lhs_atom245+ | inv(e2) = e2 ),+ c_0_488).++fof(c_0_963,axiom,+ ( lhs_atom244+ | inv(e3) = e2 ),+ c_0_489).++fof(c_0_964,axiom,+ ( lhs_atom243+ | inv(e4) = e2 ),+ c_0_490).++fof(c_0_965,axiom,+ ( lhs_atom242+ | inv(e5) = e2 ),+ c_0_491).++fof(c_0_966,axiom,+ ( lhs_atom241+ | inv(e0) = e3 ),+ c_0_492).++fof(c_0_967,axiom,+ ( lhs_atom240+ | inv(e1) = e3 ),+ c_0_493).++fof(c_0_968,axiom,+ ( lhs_atom239+ | inv(e2) = e3 ),+ c_0_494).++fof(c_0_969,axiom,+ ( lhs_atom238+ | inv(e3) = e3 ),+ c_0_495).++fof(c_0_970,axiom,+ ( lhs_atom237+ | inv(e4) = e3 ),+ c_0_496).++fof(c_0_971,axiom,+ ( lhs_atom236+ | inv(e5) = e3 ),+ c_0_497).++fof(c_0_972,axiom,+ ( lhs_atom235+ | inv(e0) = e4 ),+ c_0_498).++fof(c_0_973,axiom,+ ( lhs_atom234+ | inv(e1) = e4 ),+ c_0_499).++fof(c_0_974,axiom,+ ( lhs_atom233+ | inv(e2) = e4 ),+ c_0_500).++fof(c_0_975,axiom,+ ( lhs_atom232+ | inv(e3) = e4 ),+ c_0_501).++fof(c_0_976,axiom,+ ( lhs_atom231+ | inv(e4) = e4 ),+ c_0_502).++fof(c_0_977,axiom,+ ( lhs_atom230+ | inv(e5) = e4 ),+ c_0_503).++fof(c_0_978,axiom,+ ( lhs_atom229+ | inv(e0) = e5 ),+ c_0_504).++fof(c_0_979,axiom,+ ( lhs_atom228+ | inv(e1) = e5 ),+ c_0_505).++fof(c_0_980,axiom,+ ( lhs_atom227+ | inv(e2) = e5 ),+ c_0_506).++fof(c_0_981,axiom,+ ( lhs_atom226+ | inv(e3) = e5 ),+ c_0_507).++fof(c_0_982,axiom,+ ( lhs_atom225+ | inv(e4) = e5 ),+ c_0_508).++fof(c_0_983,axiom,+ ( lhs_atom224+ | inv(e5) = e5 ),+ c_0_509).++fof(c_0_984,plain,(+ lhs_atom474 ),+ c_0_510).++fof(c_0_985,plain,(+ lhs_atom473 ),+ c_0_511).++fof(c_0_986,plain,(+ lhs_atom472 ),+ c_0_512).++fof(c_0_987,plain,(+ lhs_atom471 ),+ c_0_513).++fof(c_0_988,plain,(+ lhs_atom470 ),+ c_0_514).++fof(c_0_989,plain,(+ lhs_atom469 ),+ c_0_515).++fof(c_0_990,plain,(+ lhs_atom468 ),+ c_0_516).++fof(c_0_991,plain,(+ lhs_atom467 ),+ c_0_517).++fof(c_0_992,plain,(+ lhs_atom466 ),+ c_0_518).++fof(c_0_993,plain,(+ lhs_atom465 ),+ c_0_519).++fof(c_0_994,plain,(+ lhs_atom464 ),+ c_0_520).++fof(c_0_995,plain,(+ lhs_atom463 ),+ c_0_521).++fof(c_0_996,plain,(+ lhs_atom462 ),+ c_0_522).++fof(c_0_997,plain,(+ lhs_atom461 ),+ c_0_523).++fof(c_0_998,plain,(+ lhs_atom460 ),+ c_0_524).++fof(c_0_999,plain,(+ lhs_atom459 ),+ c_0_525).++fof(c_0_1000,plain,(+ lhs_atom458 ),+ c_0_526).++fof(c_0_1001,plain,(+ lhs_atom457 ),+ c_0_527).++fof(c_0_1002,plain,(+ lhs_atom456 ),+ c_0_528).++fof(c_0_1003,plain,(+ lhs_atom455 ),+ c_0_529).++fof(c_0_1004,plain,(+ lhs_atom454 ),+ c_0_530).++fof(c_0_1005,plain,(+ lhs_atom453 ),+ c_0_531).++fof(c_0_1006,plain,(+ lhs_atom452 ),+ c_0_532).++fof(c_0_1007,plain,(+ lhs_atom451 ),+ c_0_533).++fof(c_0_1008,plain,(+ lhs_atom450 ),+ c_0_534).++fof(c_0_1009,plain,(+ lhs_atom449 ),+ c_0_535).++fof(c_0_1010,plain,(+ lhs_atom448 ),+ c_0_536).++fof(c_0_1011,plain,(+ lhs_atom447 ),+ c_0_537).++fof(c_0_1012,plain,(+ lhs_atom446 ),+ c_0_538).++fof(c_0_1013,plain,(+ lhs_atom445 ),+ c_0_539).++fof(c_0_1014,plain,(+ lhs_atom444 ),+ c_0_540).++fof(c_0_1015,plain,(+ lhs_atom443 ),+ c_0_541).++fof(c_0_1016,plain,(+ lhs_atom442 ),+ c_0_542).++fof(c_0_1017,plain,(+ lhs_atom441 ),+ c_0_543).++fof(c_0_1018,plain,(+ lhs_atom440 ),+ c_0_544).++fof(c_0_1019,plain,(+ lhs_atom439 ),+ c_0_545).++fof(c_0_1020,plain,(+ lhs_atom438 ),+ c_0_546).++fof(c_0_1021,plain,(+ lhs_atom437 ),+ c_0_547).++fof(c_0_1022,plain,(+ lhs_atom436 ),+ c_0_548).++fof(c_0_1023,plain,(+ lhs_atom435 ),+ c_0_549).++fof(c_0_1024,plain,(+ lhs_atom434 ),+ c_0_550).++fof(c_0_1025,plain,(+ lhs_atom433 ),+ c_0_551).++fof(c_0_1026,plain,(+ lhs_atom432 ),+ c_0_552).++fof(c_0_1027,plain,(+ lhs_atom431 ),+ c_0_553).++fof(c_0_1028,plain,(+ lhs_atom430 ),+ c_0_554).++fof(c_0_1029,plain,(+ lhs_atom429 ),+ c_0_555).++fof(c_0_1030,plain,(+ lhs_atom428 ),+ c_0_556).++fof(c_0_1031,plain,(+ lhs_atom427 ),+ c_0_557).++fof(c_0_1032,plain,(+ lhs_atom426 ),+ c_0_558).++fof(c_0_1033,plain,(+ lhs_atom425 ),+ c_0_559).++fof(c_0_1034,plain,(+ lhs_atom424 ),+ c_0_560).++fof(c_0_1035,plain,(+ lhs_atom423 ),+ c_0_561).++fof(c_0_1036,plain,(+ lhs_atom422 ),+ c_0_562).++fof(c_0_1037,plain,(+ lhs_atom421 ),+ c_0_563).++fof(c_0_1038,plain,(+ lhs_atom420 ),+ c_0_564).++fof(c_0_1039,plain,(+ lhs_atom419 ),+ c_0_565).++fof(c_0_1040,plain,(+ lhs_atom418 ),+ c_0_566).++fof(c_0_1041,plain,(+ lhs_atom417 ),+ c_0_567).++fof(c_0_1042,plain,(+ lhs_atom416 ),+ c_0_568).++fof(c_0_1043,plain,(+ lhs_atom415 ),+ c_0_569).++fof(c_0_1044,plain,(+ lhs_atom414 ),+ c_0_570).++fof(c_0_1045,plain,(+ lhs_atom413 ),+ c_0_571).++fof(c_0_1046,plain,(+ lhs_atom412 ),+ c_0_572).++fof(c_0_1047,plain,(+ lhs_atom411 ),+ c_0_573).++fof(c_0_1048,plain,(+ lhs_atom410 ),+ c_0_574).++fof(c_0_1049,plain,(+ lhs_atom409 ),+ c_0_575).++fof(c_0_1050,plain,(+ lhs_atom408 ),+ c_0_576).++fof(c_0_1051,plain,(+ lhs_atom407 ),+ c_0_577).++fof(c_0_1052,plain,(+ lhs_atom406 ),+ c_0_578).++fof(c_0_1053,plain,(+ lhs_atom405 ),+ c_0_579).++fof(c_0_1054,plain,(+ lhs_atom404 ),+ c_0_580).++fof(c_0_1055,plain,(+ lhs_atom403 ),+ c_0_581).++fof(c_0_1056,plain,(+ lhs_atom402 ),+ c_0_582).++fof(c_0_1057,plain,(+ lhs_atom401 ),+ c_0_583).++fof(c_0_1058,plain,(+ lhs_atom400 ),+ c_0_584).++fof(c_0_1059,plain,(+ lhs_atom399 ),+ c_0_585).++fof(c_0_1060,plain,(+ lhs_atom398 ),+ c_0_586).++fof(c_0_1061,plain,(+ lhs_atom397 ),+ c_0_587).++fof(c_0_1062,plain,(+ lhs_atom396 ),+ c_0_588).++fof(c_0_1063,plain,(+ lhs_atom395 ),+ c_0_589).++fof(c_0_1064,plain,(+ lhs_atom394 ),+ c_0_590).++fof(c_0_1065,plain,(+ lhs_atom393 ),+ c_0_591).++fof(c_0_1066,plain,(+ lhs_atom392 ),+ c_0_592).++fof(c_0_1067,plain,(+ lhs_atom391 ),+ c_0_593).++fof(c_0_1068,plain,(+ lhs_atom390 ),+ c_0_594).++fof(c_0_1069,plain,(+ lhs_atom389 ),+ c_0_595).++fof(c_0_1070,plain,(+ lhs_atom388 ),+ c_0_596).++fof(c_0_1071,plain,(+ lhs_atom387 ),+ c_0_597).++fof(c_0_1072,plain,(+ lhs_atom386 ),+ c_0_598).++fof(c_0_1073,plain,(+ lhs_atom385 ),+ c_0_599).++fof(c_0_1074,plain,(+ lhs_atom384 ),+ c_0_600).++fof(c_0_1075,plain,(+ lhs_atom383 ),+ c_0_601).++fof(c_0_1076,plain,(+ lhs_atom382 ),+ c_0_602).++fof(c_0_1077,plain,(+ lhs_atom381 ),+ c_0_603).++fof(c_0_1078,plain,(+ lhs_atom380 ),+ c_0_604).++fof(c_0_1079,plain,(+ lhs_atom379 ),+ c_0_605).++fof(c_0_1080,plain,(+ lhs_atom378 ),+ c_0_606).++fof(c_0_1081,plain,(+ lhs_atom377 ),+ c_0_607).++fof(c_0_1082,plain,(+ lhs_atom376 ),+ c_0_608).++fof(c_0_1083,plain,(+ lhs_atom375 ),+ c_0_609).++fof(c_0_1084,plain,(+ lhs_atom374 ),+ c_0_610).++fof(c_0_1085,plain,(+ lhs_atom373 ),+ c_0_611).++fof(c_0_1086,plain,(+ lhs_atom372 ),+ c_0_612).++fof(c_0_1087,plain,(+ lhs_atom371 ),+ c_0_613).++fof(c_0_1088,plain,(+ lhs_atom370 ),+ c_0_614).++fof(c_0_1089,plain,(+ lhs_atom369 ),+ c_0_615).++fof(c_0_1090,plain,(+ lhs_atom368 ),+ c_0_616).++fof(c_0_1091,plain,(+ lhs_atom367 ),+ c_0_617).++fof(c_0_1092,plain,(+ lhs_atom366 ),+ c_0_618).++fof(c_0_1093,plain,(+ lhs_atom365 ),+ c_0_619).++fof(c_0_1094,plain,(+ lhs_atom364 ),+ c_0_620).++fof(c_0_1095,plain,(+ lhs_atom363 ),+ c_0_621).++fof(c_0_1096,plain,(+ lhs_atom362 ),+ c_0_622).++fof(c_0_1097,plain,(+ lhs_atom361 ),+ c_0_623).++fof(c_0_1098,plain,(+ lhs_atom360 ),+ c_0_624).++fof(c_0_1099,plain,(+ lhs_atom359 ),+ c_0_625).++fof(c_0_1100,plain,(+ lhs_atom358 ),+ c_0_626).++fof(c_0_1101,plain,(+ lhs_atom357 ),+ c_0_627).++fof(c_0_1102,plain,(+ lhs_atom356 ),+ c_0_628).++fof(c_0_1103,plain,(+ lhs_atom355 ),+ c_0_629).++fof(c_0_1104,plain,(+ lhs_atom354 ),+ c_0_630).++fof(c_0_1105,plain,(+ lhs_atom353 ),+ c_0_631).++fof(c_0_1106,plain,(+ lhs_atom352 ),+ c_0_632).++fof(c_0_1107,plain,(+ lhs_atom351 ),+ c_0_633).++fof(c_0_1108,plain,(+ lhs_atom350 ),+ c_0_634).++fof(c_0_1109,plain,(+ lhs_atom349 ),+ c_0_635).++fof(c_0_1110,plain,(+ lhs_atom348 ),+ c_0_636).++fof(c_0_1111,plain,(+ lhs_atom347 ),+ c_0_637).++fof(c_0_1112,plain,(+ lhs_atom346 ),+ c_0_638).++fof(c_0_1113,plain,(+ lhs_atom345 ),+ c_0_639).++fof(c_0_1114,plain,(+ lhs_atom344 ),+ c_0_640).++fof(c_0_1115,plain,(+ lhs_atom343 ),+ c_0_641).++fof(c_0_1116,plain,(+ lhs_atom342 ),+ c_0_642).++fof(c_0_1117,plain,(+ lhs_atom341 ),+ c_0_643).++fof(c_0_1118,plain,(+ lhs_atom340 ),+ c_0_644).++fof(c_0_1119,plain,(+ lhs_atom339 ),+ c_0_645).++fof(c_0_1120,plain,(+ lhs_atom338 ),+ c_0_646).++fof(c_0_1121,plain,(+ lhs_atom337 ),+ c_0_647).++fof(c_0_1122,plain,(+ lhs_atom336 ),+ c_0_648).++fof(c_0_1123,plain,(+ lhs_atom335 ),+ c_0_649).++fof(c_0_1124,plain,(+ lhs_atom334 ),+ c_0_650).++fof(c_0_1125,plain,(+ lhs_atom333 ),+ c_0_651).++fof(c_0_1126,plain,(+ lhs_atom332 ),+ c_0_652).++fof(c_0_1127,plain,(+ lhs_atom331 ),+ c_0_653).++fof(c_0_1128,plain,(+ lhs_atom330 ),+ c_0_654).++fof(c_0_1129,plain,(+ lhs_atom329 ),+ c_0_655).++fof(c_0_1130,plain,(+ lhs_atom328 ),+ c_0_656).++fof(c_0_1131,plain,(+ lhs_atom327 ),+ c_0_657).++fof(c_0_1132,plain,(+ lhs_atom326 ),+ c_0_658).++fof(c_0_1133,plain,(+ lhs_atom325 ),+ c_0_659).++fof(c_0_1134,plain,(+ lhs_atom324 ),+ c_0_660).++fof(c_0_1135,plain,(+ lhs_atom323 ),+ c_0_661).++fof(c_0_1136,plain,(+ lhs_atom322 ),+ c_0_662).++fof(c_0_1137,plain,(+ lhs_atom321 ),+ c_0_663).++fof(c_0_1138,plain,(+ lhs_atom320 ),+ c_0_664).++fof(c_0_1139,plain,(+ lhs_atom319 ),+ c_0_665).++fof(c_0_1140,plain,(+ lhs_atom318 ),+ c_0_666).++fof(c_0_1141,plain,(+ lhs_atom317 ),+ c_0_667).++fof(c_0_1142,plain,(+ lhs_atom316 ),+ c_0_668).++fof(c_0_1143,plain,(+ lhs_atom315 ),+ c_0_669).++fof(c_0_1144,plain,(+ lhs_atom314 ),+ c_0_670).++fof(c_0_1145,plain,(+ lhs_atom313 ),+ c_0_671).++fof(c_0_1146,plain,(+ lhs_atom312 ),+ c_0_672).++fof(c_0_1147,plain,(+ lhs_atom311 ),+ c_0_673).++fof(c_0_1148,plain,(+ lhs_atom310 ),+ c_0_674).++fof(c_0_1149,plain,(+ lhs_atom309 ),+ c_0_675).++fof(c_0_1150,plain,(+ lhs_atom308 ),+ c_0_676).++fof(c_0_1151,plain,(+ lhs_atom307 ),+ c_0_677).++fof(c_0_1152,plain,(+ lhs_atom306 ),+ c_0_678).++fof(c_0_1153,plain,(+ lhs_atom305 ),+ c_0_679).++fof(c_0_1154,plain,(+ lhs_atom304 ),+ c_0_680).++fof(c_0_1155,plain,(+ lhs_atom303 ),+ c_0_681).++fof(c_0_1156,plain,(+ lhs_atom302 ),+ c_0_682).++fof(c_0_1157,plain,(+ lhs_atom301 ),+ c_0_683).++fof(c_0_1158,plain,(+ lhs_atom300 ),+ c_0_684).++fof(c_0_1159,plain,(+ lhs_atom299 ),+ c_0_685).++fof(c_0_1160,plain,(+ lhs_atom298 ),+ c_0_686).++fof(c_0_1161,plain,(+ lhs_atom297 ),+ c_0_687).++fof(c_0_1162,plain,(+ lhs_atom296 ),+ c_0_688).++fof(c_0_1163,plain,(+ lhs_atom295 ),+ c_0_689).++fof(c_0_1164,plain,(+ lhs_atom294 ),+ c_0_690).++fof(c_0_1165,plain,(+ lhs_atom293 ),+ c_0_691).++fof(c_0_1166,plain,(+ lhs_atom292 ),+ c_0_692).++fof(c_0_1167,plain,(+ lhs_atom291 ),+ c_0_693).++fof(c_0_1168,plain,(+ lhs_atom290 ),+ c_0_694).++fof(c_0_1169,plain,(+ lhs_atom289 ),+ c_0_695).++fof(c_0_1170,plain,(+ lhs_atom288 ),+ c_0_696).++fof(c_0_1171,plain,(+ lhs_atom287 ),+ c_0_697).++fof(c_0_1172,plain,(+ lhs_atom286 ),+ c_0_698).++fof(c_0_1173,plain,(+ lhs_atom285 ),+ c_0_699).++fof(c_0_1174,plain,(+ lhs_atom284 ),+ c_0_700).++fof(c_0_1175,plain,(+ lhs_atom283 ),+ c_0_701).++fof(c_0_1176,plain,(+ lhs_atom282 ),+ c_0_702).++fof(c_0_1177,plain,(+ lhs_atom281 ),+ c_0_703).++fof(c_0_1178,plain,(+ lhs_atom280 ),+ c_0_704).++fof(c_0_1179,plain,(+ lhs_atom279 ),+ c_0_705).++fof(c_0_1180,plain,(+ lhs_atom278 ),+ c_0_706).++fof(c_0_1181,plain,(+ lhs_atom277 ),+ c_0_707).++fof(c_0_1182,plain,(+ lhs_atom276 ),+ c_0_708).++fof(c_0_1183,plain,(+ lhs_atom275 ),+ c_0_709).++fof(c_0_1184,plain,(+ lhs_atom274 ),+ c_0_710).++fof(c_0_1185,plain,(+ lhs_atom273 ),+ c_0_711).++fof(c_0_1186,plain,(+ lhs_atom272 ),+ c_0_712).++fof(c_0_1187,plain,(+ lhs_atom271 ),+ c_0_713).++fof(c_0_1188,plain,(+ lhs_atom270 ),+ c_0_714).++fof(c_0_1189,plain,(+ lhs_atom269 ),+ c_0_715).++fof(c_0_1190,plain,(+ lhs_atom268 ),+ c_0_716).++fof(c_0_1191,plain,(+ lhs_atom267 ),+ c_0_717).++fof(c_0_1192,plain,(+ lhs_atom266 ),+ c_0_718).++fof(c_0_1193,plain,(+ lhs_atom265 ),+ c_0_719).++fof(c_0_1194,plain,(+ lhs_atom264 ),+ c_0_720).++fof(c_0_1195,plain,(+ lhs_atom263 ),+ c_0_721).++fof(c_0_1196,plain,(+ lhs_atom262 ),+ c_0_722).++fof(c_0_1197,plain,(+ lhs_atom261 ),+ c_0_723).++fof(c_0_1198,plain,(+ lhs_atom260 ),+ c_0_724).++fof(c_0_1199,plain,(+ lhs_atom223 ),+ c_0_725).++fof(c_0_1200,plain,(+ lhs_atom222 ),+ c_0_726).++fof(c_0_1201,plain,(+ lhs_atom221 ),+ c_0_727).++fof(c_0_1202,plain,(+ lhs_atom220 ),+ c_0_728).++fof(c_0_1203,plain,(+ lhs_atom219 ),+ c_0_729).++fof(c_0_1204,plain,(+ lhs_atom218 ),+ c_0_730).++fof(c_0_1205,plain,(+ lhs_atom217 ),+ c_0_731).++fof(c_0_1206,plain,(+ lhs_atom216 ),+ c_0_732).++fof(c_0_1207,plain,(+ lhs_atom215 ),+ c_0_733).++fof(c_0_1208,plain,(+ lhs_atom214 ),+ c_0_734).++fof(c_0_1209,plain,(+ lhs_atom213 ),+ c_0_735).++fof(c_0_1210,plain,(+ lhs_atom212 ),+ c_0_736).++fof(c_0_1211,plain,(+ lhs_atom211 ),+ c_0_737).++fof(c_0_1212,plain,(+ lhs_atom210 ),+ c_0_738).++fof(c_0_1213,plain,(+ lhs_atom209 ),+ c_0_739).++fof(c_0_1214,plain,(+ lhs_atom208 ),+ c_0_740).++fof(c_0_1215,plain,(+ lhs_atom207 ),+ c_0_741).++fof(c_0_1216,plain,(+ lhs_atom206 ),+ c_0_742).++fof(c_0_1217,plain,(+ lhs_atom205 ),+ c_0_743).++fof(c_0_1218,plain,(+ lhs_atom204 ),+ c_0_744).++fof(c_0_1219,plain,(+ lhs_atom203 ),+ c_0_745).++fof(c_0_1220,plain,(+ lhs_atom202 ),+ c_0_746).++fof(c_0_1221,plain,(+ lhs_atom201 ),+ c_0_747).++fof(c_0_1222,plain,(+ lhs_atom200 ),+ c_0_748).++fof(c_0_1223,plain,(+ lhs_atom199 ),+ c_0_749).++fof(c_0_1224,plain,(+ lhs_atom198 ),+ c_0_750).++fof(c_0_1225,plain,(+ lhs_atom197 ),+ c_0_751).++fof(c_0_1226,plain,(+ lhs_atom196 ),+ c_0_752).++fof(c_0_1227,plain,(+ lhs_atom195 ),+ c_0_753).++fof(c_0_1228,plain,(+ lhs_atom194 ),+ c_0_754).++fof(c_0_1229,plain,(+ lhs_atom193 ),+ c_0_755).++fof(c_0_1230,plain,(+ lhs_atom192 ),+ c_0_756).++fof(c_0_1231,plain,(+ lhs_atom191 ),+ c_0_757).++fof(c_0_1232,plain,(+ lhs_atom190 ),+ c_0_758).++fof(c_0_1233,plain,(+ lhs_atom189 ),+ c_0_759).++fof(c_0_1234,plain,(+ lhs_atom188 ),+ c_0_760).++fof(c_0_1235,plain,(+ lhs_atom187 ),+ c_0_761).++fof(c_0_1236,plain,(+ lhs_atom186 ),+ c_0_762).++fof(c_0_1237,plain,(+ lhs_atom185 ),+ c_0_763).++fof(c_0_1238,plain,(+ lhs_atom184 ),+ c_0_764).++fof(c_0_1239,plain,(+ lhs_atom183 ),+ c_0_765).++fof(c_0_1240,plain,(+ lhs_atom182 ),+ c_0_766).++fof(c_0_1241,plain,(+ lhs_atom181 ),+ c_0_767).++fof(c_0_1242,plain,(+ lhs_atom180 ),+ c_0_768).++fof(c_0_1243,plain,(+ lhs_atom179 ),+ c_0_769).++fof(c_0_1244,plain,(+ lhs_atom178 ),+ c_0_770).++fof(c_0_1245,plain,(+ lhs_atom177 ),+ c_0_771).++fof(c_0_1246,plain,(+ lhs_atom176 ),+ c_0_772).++fof(c_0_1247,plain,(+ lhs_atom175 ),+ c_0_773).++fof(c_0_1248,plain,(+ lhs_atom174 ),+ c_0_774).++fof(c_0_1249,plain,(+ lhs_atom173 ),+ c_0_775).++fof(c_0_1250,plain,(+ lhs_atom172 ),+ c_0_776).++fof(c_0_1251,plain,(+ lhs_atom171 ),+ c_0_777).++fof(c_0_1252,plain,(+ lhs_atom170 ),+ c_0_778).++fof(c_0_1253,plain,(+ lhs_atom169 ),+ c_0_779).++fof(c_0_1254,plain,(+ lhs_atom168 ),+ c_0_780).++fof(c_0_1255,plain,(+ lhs_atom167 ),+ c_0_781).++fof(c_0_1256,plain,(+ lhs_atom166 ),+ c_0_782).++fof(c_0_1257,plain,(+ lhs_atom165 ),+ c_0_783).++fof(c_0_1258,plain,(+ lhs_atom164 ),+ c_0_784).++fof(c_0_1259,plain,(+ lhs_atom163 ),+ c_0_785).++fof(c_0_1260,plain,(+ lhs_atom162 ),+ c_0_786).++fof(c_0_1261,plain,(+ lhs_atom161 ),+ c_0_787).++fof(c_0_1262,plain,(+ lhs_atom160 ),+ c_0_788).++fof(c_0_1263,plain,(+ lhs_atom159 ),+ c_0_789).++fof(c_0_1264,plain,(+ lhs_atom158 ),+ c_0_790).++fof(c_0_1265,plain,(+ lhs_atom157 ),+ c_0_791).++fof(c_0_1266,plain,(+ lhs_atom156 ),+ c_0_792).++fof(c_0_1267,plain,(+ lhs_atom155 ),+ c_0_793).++fof(c_0_1268,plain,(+ lhs_atom154 ),+ c_0_794).++fof(c_0_1269,plain,(+ lhs_atom153 ),+ c_0_795).++fof(c_0_1270,plain,(+ lhs_atom152 ),+ c_0_796).++fof(c_0_1271,plain,(+ lhs_atom151 ),+ c_0_797).++fof(c_0_1272,plain,(+ lhs_atom150 ),+ c_0_798).++fof(c_0_1273,plain,(+ lhs_atom149 ),+ c_0_799).++fof(c_0_1274,plain,(+ lhs_atom148 ),+ c_0_800).++fof(c_0_1275,plain,(+ lhs_atom147 ),+ c_0_801).++fof(c_0_1276,plain,(+ lhs_atom146 ),+ c_0_802).++fof(c_0_1277,plain,(+ lhs_atom145 ),+ c_0_803).++fof(c_0_1278,plain,(+ lhs_atom144 ),+ c_0_804).++fof(c_0_1279,plain,(+ lhs_atom143 ),+ c_0_805).++fof(c_0_1280,plain,(+ lhs_atom142 ),+ c_0_806).++fof(c_0_1281,plain,(+ lhs_atom141 ),+ c_0_807).++fof(c_0_1282,plain,(+ lhs_atom140 ),+ c_0_808).++fof(c_0_1283,plain,(+ lhs_atom139 ),+ c_0_809).++fof(c_0_1284,plain,(+ lhs_atom138 ),+ c_0_810).++fof(c_0_1285,plain,(+ lhs_atom137 ),+ c_0_811).++fof(c_0_1286,plain,(+ lhs_atom136 ),+ c_0_812).++fof(c_0_1287,plain,(+ lhs_atom135 ),+ c_0_813).++fof(c_0_1288,plain,(+ lhs_atom134 ),+ c_0_814).++fof(c_0_1289,plain,(+ lhs_atom133 ),+ c_0_815).++fof(c_0_1290,plain,(+ lhs_atom132 ),+ c_0_816).++fof(c_0_1291,plain,(+ lhs_atom131 ),+ c_0_817).++fof(c_0_1292,plain,(+ lhs_atom130 ),+ c_0_818).++fof(c_0_1293,plain,(+ lhs_atom129 ),+ c_0_819).++fof(c_0_1294,plain,(+ lhs_atom128 ),+ c_0_820).++fof(c_0_1295,plain,(+ lhs_atom127 ),+ c_0_821).++fof(c_0_1296,plain,(+ lhs_atom126 ),+ c_0_822).++fof(c_0_1297,plain,(+ lhs_atom125 ),+ c_0_823).++fof(c_0_1298,plain,(+ lhs_atom124 ),+ c_0_824).++fof(c_0_1299,plain,(+ lhs_atom123 ),+ c_0_825).++fof(c_0_1300,plain,(+ lhs_atom122 ),+ c_0_826).++fof(c_0_1301,plain,(+ lhs_atom121 ),+ c_0_827).++fof(c_0_1302,plain,(+ lhs_atom120 ),+ c_0_828).++fof(c_0_1303,plain,(+ lhs_atom119 ),+ c_0_829).++fof(c_0_1304,plain,(+ lhs_atom118 ),+ c_0_830).++fof(c_0_1305,plain,(+ lhs_atom117 ),+ c_0_831).++fof(c_0_1306,plain,(+ lhs_atom116 ),+ c_0_832).++fof(c_0_1307,plain,(+ lhs_atom115 ),+ c_0_833).++fof(c_0_1308,plain,(+ lhs_atom114 ),+ c_0_834).++fof(c_0_1309,plain,(+ lhs_atom113 ),+ c_0_835).++fof(c_0_1310,plain,(+ lhs_atom112 ),+ c_0_836).++fof(c_0_1311,plain,(+ lhs_atom111 ),+ c_0_837).++fof(c_0_1312,plain,(+ lhs_atom110 ),+ c_0_838).++fof(c_0_1313,plain,(+ lhs_atom109 ),+ c_0_839).++fof(c_0_1314,plain,(+ lhs_atom108 ),+ c_0_840).++fof(c_0_1315,plain,(+ lhs_atom107 ),+ c_0_841).++fof(c_0_1316,plain,(+ lhs_atom106 ),+ c_0_842).++fof(c_0_1317,plain,(+ lhs_atom105 ),+ c_0_843).++fof(c_0_1318,plain,(+ lhs_atom104 ),+ c_0_844).++fof(c_0_1319,plain,(+ lhs_atom103 ),+ c_0_845).++fof(c_0_1320,plain,(+ lhs_atom102 ),+ c_0_846).++fof(c_0_1321,plain,(+ lhs_atom101 ),+ c_0_847).++fof(c_0_1322,plain,(+ lhs_atom100 ),+ c_0_848).++fof(c_0_1323,plain,(+ lhs_atom99 ),+ c_0_849).++fof(c_0_1324,plain,(+ lhs_atom98 ),+ c_0_850).++fof(c_0_1325,plain,(+ lhs_atom97 ),+ c_0_851).++fof(c_0_1326,plain,(+ lhs_atom96 ),+ c_0_852).++fof(c_0_1327,plain,(+ lhs_atom95 ),+ c_0_853).++fof(c_0_1328,plain,(+ lhs_atom94 ),+ c_0_854).++fof(c_0_1329,plain,(+ lhs_atom93 ),+ c_0_855).++fof(c_0_1330,plain,(+ lhs_atom92 ),+ c_0_856).++fof(c_0_1331,plain,(+ lhs_atom91 ),+ c_0_857).++fof(c_0_1332,plain,(+ lhs_atom90 ),+ c_0_858).++fof(c_0_1333,plain,(+ lhs_atom89 ),+ c_0_859).++fof(c_0_1334,plain,(+ lhs_atom88 ),+ c_0_860).++fof(c_0_1335,plain,(+ lhs_atom87 ),+ c_0_861).++fof(c_0_1336,plain,(+ lhs_atom86 ),+ c_0_862).++fof(c_0_1337,plain,(+ lhs_atom85 ),+ c_0_863).++fof(c_0_1338,plain,(+ lhs_atom84 ),+ c_0_864).++fof(c_0_1339,plain,(+ lhs_atom83 ),+ c_0_865).++fof(c_0_1340,plain,(+ lhs_atom82 ),+ c_0_866).++fof(c_0_1341,plain,(+ lhs_atom81 ),+ c_0_867).++fof(c_0_1342,plain,(+ lhs_atom80 ),+ c_0_868).++fof(c_0_1343,plain,(+ lhs_atom79 ),+ c_0_869).++fof(c_0_1344,plain,(+ lhs_atom78 ),+ c_0_870).++fof(c_0_1345,plain,(+ lhs_atom77 ),+ c_0_871).++fof(c_0_1346,plain,(+ lhs_atom76 ),+ c_0_872).++fof(c_0_1347,plain,(+ lhs_atom75 ),+ c_0_873).++fof(c_0_1348,plain,(+ lhs_atom74 ),+ c_0_874).++fof(c_0_1349,plain,(+ lhs_atom73 ),+ c_0_875).++fof(c_0_1350,plain,(+ lhs_atom72 ),+ c_0_876).++fof(c_0_1351,plain,(+ lhs_atom71 ),+ c_0_877).++fof(c_0_1352,plain,(+ lhs_atom70 ),+ c_0_878).++fof(c_0_1353,plain,(+ lhs_atom69 ),+ c_0_879).++fof(c_0_1354,plain,(+ lhs_atom68 ),+ c_0_880).++fof(c_0_1355,plain,(+ lhs_atom67 ),+ c_0_881).++fof(c_0_1356,plain,(+ lhs_atom66 ),+ c_0_882).++fof(c_0_1357,plain,(+ lhs_atom65 ),+ c_0_883).++fof(c_0_1358,plain,(+ lhs_atom64 ),+ c_0_884).++fof(c_0_1359,plain,(+ lhs_atom63 ),+ c_0_885).++fof(c_0_1360,plain,(+ lhs_atom62 ),+ c_0_886).++fof(c_0_1361,plain,(+ lhs_atom61 ),+ c_0_887).++fof(c_0_1362,plain,(+ lhs_atom60 ),+ c_0_888).++fof(c_0_1363,plain,(+ lhs_atom59 ),+ c_0_889).++fof(c_0_1364,plain,(+ lhs_atom58 ),+ c_0_890).++fof(c_0_1365,plain,(+ lhs_atom57 ),+ c_0_891).++fof(c_0_1366,plain,(+ lhs_atom56 ),+ c_0_892).++fof(c_0_1367,plain,(+ lhs_atom55 ),+ c_0_893).++fof(c_0_1368,plain,(+ lhs_atom54 ),+ c_0_894).++fof(c_0_1369,plain,(+ lhs_atom53 ),+ c_0_895).++fof(c_0_1370,plain,(+ lhs_atom52 ),+ c_0_896).++fof(c_0_1371,plain,(+ lhs_atom51 ),+ c_0_897).++fof(c_0_1372,plain,(+ lhs_atom50 ),+ c_0_898).++fof(c_0_1373,plain,(+ lhs_atom49 ),+ c_0_899).++fof(c_0_1374,plain,(+ lhs_atom48 ),+ c_0_900).++fof(c_0_1375,plain,(+ lhs_atom47 ),+ c_0_901).++fof(c_0_1376,plain,(+ lhs_atom46 ),+ c_0_902).++fof(c_0_1377,plain,(+ lhs_atom45 ),+ c_0_903).++fof(c_0_1378,plain,(+ lhs_atom44 ),+ c_0_904).++fof(c_0_1379,plain,(+ lhs_atom43 ),+ c_0_905).++fof(c_0_1380,plain,(+ lhs_atom42 ),+ c_0_906).++fof(c_0_1381,plain,(+ lhs_atom41 ),+ c_0_907).++fof(c_0_1382,plain,(+ lhs_atom40 ),+ c_0_908).++fof(c_0_1383,plain,(+ lhs_atom39 ),+ c_0_909).++fof(c_0_1384,plain,(+ lhs_atom38 ),+ c_0_910).++fof(c_0_1385,plain,(+ lhs_atom37 ),+ c_0_911).++fof(c_0_1386,plain,(+ lhs_atom36 ),+ c_0_912).++fof(c_0_1387,plain,(+ lhs_atom35 ),+ c_0_913).++fof(c_0_1388,plain,(+ lhs_atom34 ),+ c_0_914).++fof(c_0_1389,plain,(+ lhs_atom33 ),+ c_0_915).++fof(c_0_1390,plain,(+ lhs_atom32 ),+ c_0_916).++fof(c_0_1391,plain,(+ lhs_atom31 ),+ c_0_917).++fof(c_0_1392,plain,(+ lhs_atom30 ),+ c_0_918).++fof(c_0_1393,plain,(+ lhs_atom29 ),+ c_0_919).++fof(c_0_1394,plain,(+ lhs_atom28 ),+ c_0_920).++fof(c_0_1395,plain,(+ lhs_atom27 ),+ c_0_921).++fof(c_0_1396,plain,(+ lhs_atom26 ),+ c_0_922).++fof(c_0_1397,plain,(+ lhs_atom25 ),+ c_0_923).++fof(c_0_1398,plain,(+ lhs_atom24 ),+ c_0_924).++fof(c_0_1399,plain,(+ lhs_atom23 ),+ c_0_925).++fof(c_0_1400,plain,(+ lhs_atom22 ),+ c_0_926).++fof(c_0_1401,plain,(+ lhs_atom21 ),+ c_0_927).++fof(c_0_1402,plain,(+ lhs_atom20 ),+ c_0_928).++fof(c_0_1403,plain,(+ lhs_atom19 ),+ c_0_929).++fof(c_0_1404,plain,(+ lhs_atom18 ),+ c_0_930).++fof(c_0_1405,plain,(+ lhs_atom17 ),+ c_0_931).++fof(c_0_1406,plain,(+ lhs_atom16 ),+ c_0_932).++fof(c_0_1407,plain,(+ lhs_atom15 ),+ c_0_933).++fof(c_0_1408,plain,(+ lhs_atom14 ),+ c_0_934).++fof(c_0_1409,plain,(+ lhs_atom13 ),+ c_0_935).++fof(c_0_1410,plain,(+ lhs_atom12 ),+ c_0_936).++fof(c_0_1411,plain,(+ lhs_atom11 ),+ c_0_937).++fof(c_0_1412,plain,(+ lhs_atom10 ),+ c_0_938).++fof(c_0_1413,plain,(+ lhs_atom9 ),+ c_0_939).++fof(c_0_1414,plain,(+ lhs_atom8 ),+ c_0_940).++fof(c_0_1415,plain,(+ lhs_atom7 ),+ c_0_941).++fof(c_0_1416,plain,(+ lhs_atom6 ),+ c_0_942).++fof(c_0_1417,plain,(+ lhs_atom5 ),+ c_0_943).++fof(c_0_1418,plain,(+ lhs_atom4 ),+ c_0_944).++fof(c_0_1419,plain,(+ lhs_atom3 ),+ c_0_945).++fof(c_0_1420,plain,(+ lhs_atom2 ),+ c_0_946).++fof(c_0_1421,plain,(+ lhs_atom1 ),+ c_0_947).++cnf(c_0_1422,plain,+ ( inv(e0) = e0+ | lhs_atom259 ),+ inference(split_conjunct,[status(thm)],[c_0_948])).++cnf(c_0_1423,plain,+ ( inv(e1) = e0+ | lhs_atom258 ),+ inference(split_conjunct,[status(thm)],[c_0_949])).++cnf(c_0_1424,plain,+ ( inv(e2) = e0+ | lhs_atom257 ),+ inference(split_conjunct,[status(thm)],[c_0_950])).++cnf(c_0_1425,plain,+ ( inv(e3) = e0+ | lhs_atom256 ),+ inference(split_conjunct,[status(thm)],[c_0_951])).++cnf(c_0_1426,plain,+ ( inv(e4) = e0+ | lhs_atom255 ),+ inference(split_conjunct,[status(thm)],[c_0_952])).++cnf(c_0_1427,plain,+ ( inv(e5) = e0+ | lhs_atom254 ),+ inference(split_conjunct,[status(thm)],[c_0_953])).++cnf(c_0_1428,plain,+ ( inv(e0) = e1+ | lhs_atom253 ),+ inference(split_conjunct,[status(thm)],[c_0_954])).++cnf(c_0_1429,plain,+ ( inv(e1) = e1+ | lhs_atom252 ),+ inference(split_conjunct,[status(thm)],[c_0_955])).++cnf(c_0_1430,plain,+ ( inv(e2) = e1+ | lhs_atom251 ),+ inference(split_conjunct,[status(thm)],[c_0_956])).++cnf(c_0_1431,plain,+ ( inv(e3) = e1+ | lhs_atom250 ),+ inference(split_conjunct,[status(thm)],[c_0_957])).++cnf(c_0_1432,plain,+ ( inv(e4) = e1+ | lhs_atom249 ),+ inference(split_conjunct,[status(thm)],[c_0_958])).++cnf(c_0_1433,plain,+ ( inv(e5) = e1+ | lhs_atom248 ),+ inference(split_conjunct,[status(thm)],[c_0_959])).++cnf(c_0_1434,plain,+ ( inv(e0) = e2+ | lhs_atom247 ),+ inference(split_conjunct,[status(thm)],[c_0_960])).++cnf(c_0_1435,plain,+ ( inv(e1) = e2+ | lhs_atom246 ),+ inference(split_conjunct,[status(thm)],[c_0_961])).++cnf(c_0_1436,plain,+ ( inv(e2) = e2+ | lhs_atom245 ),+ inference(split_conjunct,[status(thm)],[c_0_962])).++cnf(c_0_1437,plain,+ ( inv(e3) = e2+ | lhs_atom244 ),+ inference(split_conjunct,[status(thm)],[c_0_963])).++cnf(c_0_1438,plain,+ ( inv(e4) = e2+ | lhs_atom243 ),+ inference(split_conjunct,[status(thm)],[c_0_964])).++cnf(c_0_1439,plain,+ ( inv(e5) = e2+ | lhs_atom242 ),+ inference(split_conjunct,[status(thm)],[c_0_965])).++cnf(c_0_1440,plain,+ ( inv(e0) = e3+ | lhs_atom241 ),+ inference(split_conjunct,[status(thm)],[c_0_966])).++cnf(c_0_1441,plain,+ ( inv(e1) = e3+ | lhs_atom240 ),+ inference(split_conjunct,[status(thm)],[c_0_967])).++cnf(c_0_1442,plain,+ ( inv(e2) = e3+ | lhs_atom239 ),+ inference(split_conjunct,[status(thm)],[c_0_968])).++cnf(c_0_1443,plain,+ ( inv(e3) = e3+ | lhs_atom238 ),+ inference(split_conjunct,[status(thm)],[c_0_969])).++cnf(c_0_1444,plain,+ ( inv(e4) = e3+ | lhs_atom237 ),+ inference(split_conjunct,[status(thm)],[c_0_970])).++cnf(c_0_1445,plain,+ ( inv(e5) = e3+ | lhs_atom236 ),+ inference(split_conjunct,[status(thm)],[c_0_971])).++cnf(c_0_1446,plain,+ ( inv(e0) = e4+ | lhs_atom235 ),+ inference(split_conjunct,[status(thm)],[c_0_972])).++cnf(c_0_1447,plain,+ ( inv(e1) = e4+ | lhs_atom234 ),+ inference(split_conjunct,[status(thm)],[c_0_973])).++cnf(c_0_1448,plain,+ ( inv(e2) = e4+ | lhs_atom233 ),+ inference(split_conjunct,[status(thm)],[c_0_974])).++cnf(c_0_1449,plain,+ ( inv(e3) = e4+ | lhs_atom232 ),+ inference(split_conjunct,[status(thm)],[c_0_975])).++cnf(c_0_1450,plain,+ ( inv(e4) = e4+ | lhs_atom231 ),+ inference(split_conjunct,[status(thm)],[c_0_976])).++cnf(c_0_1451,plain,+ ( inv(e5) = e4+ | lhs_atom230 ),+ inference(split_conjunct,[status(thm)],[c_0_977])).++cnf(c_0_1452,plain,+ ( inv(e0) = e5+ | lhs_atom229 ),+ inference(split_conjunct,[status(thm)],[c_0_978])).++cnf(c_0_1453,plain,+ ( inv(e1) = e5+ | lhs_atom228 ),+ inference(split_conjunct,[status(thm)],[c_0_979])).++cnf(c_0_1454,plain,+ ( inv(e2) = e5+ | lhs_atom227 ),+ inference(split_conjunct,[status(thm)],[c_0_980])).++cnf(c_0_1455,plain,+ ( inv(e3) = e5+ | lhs_atom226 ),+ inference(split_conjunct,[status(thm)],[c_0_981])).++cnf(c_0_1456,plain,+ ( inv(e4) = e5+ | lhs_atom225 ),+ inference(split_conjunct,[status(thm)],[c_0_982])).++cnf(c_0_1457,plain,+ ( inv(e5) = e5+ | lhs_atom224 ),+ inference(split_conjunct,[status(thm)],[c_0_983])).++cnf(c_0_1458,plain,+ ( lhs_atom474 ),+ inference(split_conjunct,[status(thm)],[c_0_984])).++cnf(c_0_1459,plain,+ ( lhs_atom473 ),+ inference(split_conjunct,[status(thm)],[c_0_985])).++cnf(c_0_1460,plain,+ ( lhs_atom472 ),+ inference(split_conjunct,[status(thm)],[c_0_986])).++cnf(c_0_1461,plain,+ ( lhs_atom471 ),+ inference(split_conjunct,[status(thm)],[c_0_987])).++cnf(c_0_1462,plain,+ ( lhs_atom470 ),+ inference(split_conjunct,[status(thm)],[c_0_988])).++cnf(c_0_1463,plain,+ ( lhs_atom469 ),+ inference(split_conjunct,[status(thm)],[c_0_989])).++cnf(c_0_1464,plain,+ ( lhs_atom468 ),+ inference(split_conjunct,[status(thm)],[c_0_990])).++cnf(c_0_1465,plain,+ ( lhs_atom467 ),+ inference(split_conjunct,[status(thm)],[c_0_991])).++cnf(c_0_1466,plain,+ ( lhs_atom466 ),+ inference(split_conjunct,[status(thm)],[c_0_992])).++cnf(c_0_1467,plain,+ ( lhs_atom465 ),+ inference(split_conjunct,[status(thm)],[c_0_993])).++cnf(c_0_1468,plain,+ ( lhs_atom464 ),+ inference(split_conjunct,[status(thm)],[c_0_994])).++cnf(c_0_1469,plain,+ ( lhs_atom463 ),+ inference(split_conjunct,[status(thm)],[c_0_995])).++cnf(c_0_1470,plain,+ ( lhs_atom462 ),+ inference(split_conjunct,[status(thm)],[c_0_996])).++cnf(c_0_1471,plain,+ ( lhs_atom461 ),+ inference(split_conjunct,[status(thm)],[c_0_997])).++cnf(c_0_1472,plain,+ ( lhs_atom460 ),+ inference(split_conjunct,[status(thm)],[c_0_998])).++cnf(c_0_1473,plain,+ ( lhs_atom459 ),+ inference(split_conjunct,[status(thm)],[c_0_999])).++cnf(c_0_1474,plain,+ ( lhs_atom458 ),+ inference(split_conjunct,[status(thm)],[c_0_1000])).++cnf(c_0_1475,plain,+ ( lhs_atom457 ),+ inference(split_conjunct,[status(thm)],[c_0_1001])).++cnf(c_0_1476,plain,+ ( lhs_atom456 ),+ inference(split_conjunct,[status(thm)],[c_0_1002])).++cnf(c_0_1477,plain,+ ( lhs_atom455 ),+ inference(split_conjunct,[status(thm)],[c_0_1003])).++cnf(c_0_1478,plain,+ ( lhs_atom454 ),+ inference(split_conjunct,[status(thm)],[c_0_1004])).++cnf(c_0_1479,plain,+ ( lhs_atom453 ),+ inference(split_conjunct,[status(thm)],[c_0_1005])).++cnf(c_0_1480,plain,+ ( lhs_atom452 ),+ inference(split_conjunct,[status(thm)],[c_0_1006])).++cnf(c_0_1481,plain,+ ( lhs_atom451 ),+ inference(split_conjunct,[status(thm)],[c_0_1007])).++cnf(c_0_1482,plain,+ ( lhs_atom450 ),+ inference(split_conjunct,[status(thm)],[c_0_1008])).++cnf(c_0_1483,plain,+ ( lhs_atom449 ),+ inference(split_conjunct,[status(thm)],[c_0_1009])).++cnf(c_0_1484,plain,+ ( lhs_atom448 ),+ inference(split_conjunct,[status(thm)],[c_0_1010])).++cnf(c_0_1485,plain,+ ( lhs_atom447 ),+ inference(split_conjunct,[status(thm)],[c_0_1011])).++cnf(c_0_1486,plain,+ ( lhs_atom446 ),+ inference(split_conjunct,[status(thm)],[c_0_1012])).++cnf(c_0_1487,plain,+ ( lhs_atom445 ),+ inference(split_conjunct,[status(thm)],[c_0_1013])).++cnf(c_0_1488,plain,+ ( lhs_atom444 ),+ inference(split_conjunct,[status(thm)],[c_0_1014])).++cnf(c_0_1489,plain,+ ( lhs_atom443 ),+ inference(split_conjunct,[status(thm)],[c_0_1015])).++cnf(c_0_1490,plain,+ ( lhs_atom442 ),+ inference(split_conjunct,[status(thm)],[c_0_1016])).++cnf(c_0_1491,plain,+ ( lhs_atom441 ),+ inference(split_conjunct,[status(thm)],[c_0_1017])).++cnf(c_0_1492,plain,+ ( lhs_atom440 ),+ inference(split_conjunct,[status(thm)],[c_0_1018])).++cnf(c_0_1493,plain,+ ( lhs_atom439 ),+ inference(split_conjunct,[status(thm)],[c_0_1019])).++cnf(c_0_1494,plain,+ ( lhs_atom438 ),+ inference(split_conjunct,[status(thm)],[c_0_1020])).++cnf(c_0_1495,plain,+ ( lhs_atom437 ),+ inference(split_conjunct,[status(thm)],[c_0_1021])).++cnf(c_0_1496,plain,+ ( lhs_atom436 ),+ inference(split_conjunct,[status(thm)],[c_0_1022])).++cnf(c_0_1497,plain,+ ( lhs_atom435 ),+ inference(split_conjunct,[status(thm)],[c_0_1023])).++cnf(c_0_1498,plain,+ ( lhs_atom434 ),+ inference(split_conjunct,[status(thm)],[c_0_1024])).++cnf(c_0_1499,plain,+ ( lhs_atom433 ),+ inference(split_conjunct,[status(thm)],[c_0_1025])).++cnf(c_0_1500,plain,+ ( lhs_atom432 ),+ inference(split_conjunct,[status(thm)],[c_0_1026])).++cnf(c_0_1501,plain,+ ( lhs_atom431 ),+ inference(split_conjunct,[status(thm)],[c_0_1027])).++cnf(c_0_1502,plain,+ ( lhs_atom430 ),+ inference(split_conjunct,[status(thm)],[c_0_1028])).++cnf(c_0_1503,plain,+ ( lhs_atom429 ),+ inference(split_conjunct,[status(thm)],[c_0_1029])).++cnf(c_0_1504,plain,+ ( lhs_atom428 ),+ inference(split_conjunct,[status(thm)],[c_0_1030])).++cnf(c_0_1505,plain,+ ( lhs_atom427 ),+ inference(split_conjunct,[status(thm)],[c_0_1031])).++cnf(c_0_1506,plain,+ ( lhs_atom426 ),+ inference(split_conjunct,[status(thm)],[c_0_1032])).++cnf(c_0_1507,plain,+ ( lhs_atom425 ),+ inference(split_conjunct,[status(thm)],[c_0_1033])).++cnf(c_0_1508,plain,+ ( lhs_atom424 ),+ inference(split_conjunct,[status(thm)],[c_0_1034])).++cnf(c_0_1509,plain,+ ( lhs_atom423 ),+ inference(split_conjunct,[status(thm)],[c_0_1035])).++cnf(c_0_1510,plain,+ ( lhs_atom422 ),+ inference(split_conjunct,[status(thm)],[c_0_1036])).++cnf(c_0_1511,plain,+ ( lhs_atom421 ),+ inference(split_conjunct,[status(thm)],[c_0_1037])).++cnf(c_0_1512,plain,+ ( lhs_atom420 ),+ inference(split_conjunct,[status(thm)],[c_0_1038])).++cnf(c_0_1513,plain,+ ( lhs_atom419 ),+ inference(split_conjunct,[status(thm)],[c_0_1039])).++cnf(c_0_1514,plain,+ ( lhs_atom418 ),+ inference(split_conjunct,[status(thm)],[c_0_1040])).++cnf(c_0_1515,plain,+ ( lhs_atom417 ),+ inference(split_conjunct,[status(thm)],[c_0_1041])).++cnf(c_0_1516,plain,+ ( lhs_atom416 ),+ inference(split_conjunct,[status(thm)],[c_0_1042])).++cnf(c_0_1517,plain,+ ( lhs_atom415 ),+ inference(split_conjunct,[status(thm)],[c_0_1043])).++cnf(c_0_1518,plain,+ ( lhs_atom414 ),+ inference(split_conjunct,[status(thm)],[c_0_1044])).++cnf(c_0_1519,plain,+ ( lhs_atom413 ),+ inference(split_conjunct,[status(thm)],[c_0_1045])).++cnf(c_0_1520,plain,+ ( lhs_atom412 ),+ inference(split_conjunct,[status(thm)],[c_0_1046])).++cnf(c_0_1521,plain,+ ( lhs_atom411 ),+ inference(split_conjunct,[status(thm)],[c_0_1047])).++cnf(c_0_1522,plain,+ ( lhs_atom410 ),+ inference(split_conjunct,[status(thm)],[c_0_1048])).++cnf(c_0_1523,plain,+ ( lhs_atom409 ),+ inference(split_conjunct,[status(thm)],[c_0_1049])).++cnf(c_0_1524,plain,+ ( lhs_atom408 ),+ inference(split_conjunct,[status(thm)],[c_0_1050])).++cnf(c_0_1525,plain,+ ( lhs_atom407 ),+ inference(split_conjunct,[status(thm)],[c_0_1051])).++cnf(c_0_1526,plain,+ ( lhs_atom406 ),+ inference(split_conjunct,[status(thm)],[c_0_1052])).++cnf(c_0_1527,plain,+ ( lhs_atom405 ),+ inference(split_conjunct,[status(thm)],[c_0_1053])).++cnf(c_0_1528,plain,+ ( lhs_atom404 ),+ inference(split_conjunct,[status(thm)],[c_0_1054])).++cnf(c_0_1529,plain,+ ( lhs_atom403 ),+ inference(split_conjunct,[status(thm)],[c_0_1055])).++cnf(c_0_1530,plain,+ ( lhs_atom402 ),+ inference(split_conjunct,[status(thm)],[c_0_1056])).++cnf(c_0_1531,plain,+ ( lhs_atom401 ),+ inference(split_conjunct,[status(thm)],[c_0_1057])).++cnf(c_0_1532,plain,+ ( lhs_atom400 ),+ inference(split_conjunct,[status(thm)],[c_0_1058])).++cnf(c_0_1533,plain,+ ( lhs_atom399 ),+ inference(split_conjunct,[status(thm)],[c_0_1059])).++cnf(c_0_1534,plain,+ ( lhs_atom398 ),+ inference(split_conjunct,[status(thm)],[c_0_1060])).++cnf(c_0_1535,plain,+ ( lhs_atom397 ),+ inference(split_conjunct,[status(thm)],[c_0_1061])).++cnf(c_0_1536,plain,+ ( lhs_atom396 ),+ inference(split_conjunct,[status(thm)],[c_0_1062])).++cnf(c_0_1537,plain,+ ( lhs_atom395 ),+ inference(split_conjunct,[status(thm)],[c_0_1063])).++cnf(c_0_1538,plain,+ ( lhs_atom394 ),+ inference(split_conjunct,[status(thm)],[c_0_1064])).++cnf(c_0_1539,plain,+ ( lhs_atom393 ),+ inference(split_conjunct,[status(thm)],[c_0_1065])).++cnf(c_0_1540,plain,+ ( lhs_atom392 ),+ inference(split_conjunct,[status(thm)],[c_0_1066])).++cnf(c_0_1541,plain,+ ( lhs_atom391 ),+ inference(split_conjunct,[status(thm)],[c_0_1067])).++cnf(c_0_1542,plain,+ ( lhs_atom390 ),+ inference(split_conjunct,[status(thm)],[c_0_1068])).++cnf(c_0_1543,plain,+ ( lhs_atom389 ),+ inference(split_conjunct,[status(thm)],[c_0_1069])).++cnf(c_0_1544,plain,+ ( lhs_atom388 ),+ inference(split_conjunct,[status(thm)],[c_0_1070])).++cnf(c_0_1545,plain,+ ( lhs_atom387 ),+ inference(split_conjunct,[status(thm)],[c_0_1071])).++cnf(c_0_1546,plain,+ ( lhs_atom386 ),+ inference(split_conjunct,[status(thm)],[c_0_1072])).++cnf(c_0_1547,plain,+ ( lhs_atom385 ),+ inference(split_conjunct,[status(thm)],[c_0_1073])).++cnf(c_0_1548,plain,+ ( lhs_atom384 ),+ inference(split_conjunct,[status(thm)],[c_0_1074])).++cnf(c_0_1549,plain,+ ( lhs_atom383 ),+ inference(split_conjunct,[status(thm)],[c_0_1075])).++cnf(c_0_1550,plain,+ ( lhs_atom382 ),+ inference(split_conjunct,[status(thm)],[c_0_1076])).++cnf(c_0_1551,plain,+ ( lhs_atom381 ),+ inference(split_conjunct,[status(thm)],[c_0_1077])).++cnf(c_0_1552,plain,+ ( lhs_atom380 ),+ inference(split_conjunct,[status(thm)],[c_0_1078])).++cnf(c_0_1553,plain,+ ( lhs_atom379 ),+ inference(split_conjunct,[status(thm)],[c_0_1079])).++cnf(c_0_1554,plain,+ ( lhs_atom378 ),+ inference(split_conjunct,[status(thm)],[c_0_1080])).++cnf(c_0_1555,plain,+ ( lhs_atom377 ),+ inference(split_conjunct,[status(thm)],[c_0_1081])).++cnf(c_0_1556,plain,+ ( lhs_atom376 ),+ inference(split_conjunct,[status(thm)],[c_0_1082])).++cnf(c_0_1557,plain,+ ( lhs_atom375 ),+ inference(split_conjunct,[status(thm)],[c_0_1083])).++cnf(c_0_1558,plain,+ ( lhs_atom374 ),+ inference(split_conjunct,[status(thm)],[c_0_1084])).++cnf(c_0_1559,plain,+ ( lhs_atom373 ),+ inference(split_conjunct,[status(thm)],[c_0_1085])).++cnf(c_0_1560,plain,+ ( lhs_atom372 ),+ inference(split_conjunct,[status(thm)],[c_0_1086])).++cnf(c_0_1561,plain,+ ( lhs_atom371 ),+ inference(split_conjunct,[status(thm)],[c_0_1087])).++cnf(c_0_1562,plain,+ ( lhs_atom370 ),+ inference(split_conjunct,[status(thm)],[c_0_1088])).++cnf(c_0_1563,plain,+ ( lhs_atom369 ),+ inference(split_conjunct,[status(thm)],[c_0_1089])).++cnf(c_0_1564,plain,+ ( lhs_atom368 ),+ inference(split_conjunct,[status(thm)],[c_0_1090])).++cnf(c_0_1565,plain,+ ( lhs_atom367 ),+ inference(split_conjunct,[status(thm)],[c_0_1091])).++cnf(c_0_1566,plain,+ ( lhs_atom366 ),+ inference(split_conjunct,[status(thm)],[c_0_1092])).++cnf(c_0_1567,plain,+ ( lhs_atom365 ),+ inference(split_conjunct,[status(thm)],[c_0_1093])).++cnf(c_0_1568,plain,+ ( lhs_atom364 ),+ inference(split_conjunct,[status(thm)],[c_0_1094])).++cnf(c_0_1569,plain,+ ( lhs_atom363 ),+ inference(split_conjunct,[status(thm)],[c_0_1095])).++cnf(c_0_1570,plain,+ ( lhs_atom362 ),+ inference(split_conjunct,[status(thm)],[c_0_1096])).++cnf(c_0_1571,plain,+ ( lhs_atom361 ),+ inference(split_conjunct,[status(thm)],[c_0_1097])).++cnf(c_0_1572,plain,+ ( lhs_atom360 ),+ inference(split_conjunct,[status(thm)],[c_0_1098])).++cnf(c_0_1573,plain,+ ( lhs_atom359 ),+ inference(split_conjunct,[status(thm)],[c_0_1099])).++cnf(c_0_1574,plain,+ ( lhs_atom358 ),+ inference(split_conjunct,[status(thm)],[c_0_1100])).++cnf(c_0_1575,plain,+ ( lhs_atom357 ),+ inference(split_conjunct,[status(thm)],[c_0_1101])).++cnf(c_0_1576,plain,+ ( lhs_atom356 ),+ inference(split_conjunct,[status(thm)],[c_0_1102])).++cnf(c_0_1577,plain,+ ( lhs_atom355 ),+ inference(split_conjunct,[status(thm)],[c_0_1103])).++cnf(c_0_1578,plain,+ ( lhs_atom354 ),+ inference(split_conjunct,[status(thm)],[c_0_1104])).++cnf(c_0_1579,plain,+ ( lhs_atom353 ),+ inference(split_conjunct,[status(thm)],[c_0_1105])).++cnf(c_0_1580,plain,+ ( lhs_atom352 ),+ inference(split_conjunct,[status(thm)],[c_0_1106])).++cnf(c_0_1581,plain,+ ( lhs_atom351 ),+ inference(split_conjunct,[status(thm)],[c_0_1107])).++cnf(c_0_1582,plain,+ ( lhs_atom350 ),+ inference(split_conjunct,[status(thm)],[c_0_1108])).++cnf(c_0_1583,plain,+ ( lhs_atom349 ),+ inference(split_conjunct,[status(thm)],[c_0_1109])).++cnf(c_0_1584,plain,+ ( lhs_atom348 ),+ inference(split_conjunct,[status(thm)],[c_0_1110])).++cnf(c_0_1585,plain,+ ( lhs_atom347 ),+ inference(split_conjunct,[status(thm)],[c_0_1111])).++cnf(c_0_1586,plain,+ ( lhs_atom346 ),+ inference(split_conjunct,[status(thm)],[c_0_1112])).++cnf(c_0_1587,plain,+ ( lhs_atom345 ),+ inference(split_conjunct,[status(thm)],[c_0_1113])).++cnf(c_0_1588,plain,+ ( lhs_atom344 ),+ inference(split_conjunct,[status(thm)],[c_0_1114])).++cnf(c_0_1589,plain,+ ( lhs_atom343 ),+ inference(split_conjunct,[status(thm)],[c_0_1115])).++cnf(c_0_1590,plain,+ ( lhs_atom342 ),+ inference(split_conjunct,[status(thm)],[c_0_1116])).++cnf(c_0_1591,plain,+ ( lhs_atom341 ),+ inference(split_conjunct,[status(thm)],[c_0_1117])).++cnf(c_0_1592,plain,+ ( lhs_atom340 ),+ inference(split_conjunct,[status(thm)],[c_0_1118])).++cnf(c_0_1593,plain,+ ( lhs_atom339 ),+ inference(split_conjunct,[status(thm)],[c_0_1119])).++cnf(c_0_1594,plain,+ ( lhs_atom338 ),+ inference(split_conjunct,[status(thm)],[c_0_1120])).++cnf(c_0_1595,plain,+ ( lhs_atom337 ),+ inference(split_conjunct,[status(thm)],[c_0_1121])).++cnf(c_0_1596,plain,+ ( lhs_atom336 ),+ inference(split_conjunct,[status(thm)],[c_0_1122])).++cnf(c_0_1597,plain,+ ( lhs_atom335 ),+ inference(split_conjunct,[status(thm)],[c_0_1123])).++cnf(c_0_1598,plain,+ ( lhs_atom334 ),+ inference(split_conjunct,[status(thm)],[c_0_1124])).++cnf(c_0_1599,plain,+ ( lhs_atom333 ),+ inference(split_conjunct,[status(thm)],[c_0_1125])).++cnf(c_0_1600,plain,+ ( lhs_atom332 ),+ inference(split_conjunct,[status(thm)],[c_0_1126])).++cnf(c_0_1601,plain,+ ( lhs_atom331 ),+ inference(split_conjunct,[status(thm)],[c_0_1127])).++cnf(c_0_1602,plain,+ ( lhs_atom330 ),+ inference(split_conjunct,[status(thm)],[c_0_1128])).++cnf(c_0_1603,plain,+ ( lhs_atom329 ),+ inference(split_conjunct,[status(thm)],[c_0_1129])).++cnf(c_0_1604,plain,+ ( lhs_atom328 ),+ inference(split_conjunct,[status(thm)],[c_0_1130])).++cnf(c_0_1605,plain,+ ( lhs_atom327 ),+ inference(split_conjunct,[status(thm)],[c_0_1131])).++cnf(c_0_1606,plain,+ ( lhs_atom326 ),+ inference(split_conjunct,[status(thm)],[c_0_1132])).++cnf(c_0_1607,plain,+ ( lhs_atom325 ),+ inference(split_conjunct,[status(thm)],[c_0_1133])).++cnf(c_0_1608,plain,+ ( lhs_atom324 ),+ inference(split_conjunct,[status(thm)],[c_0_1134])).++cnf(c_0_1609,plain,+ ( lhs_atom323 ),+ inference(split_conjunct,[status(thm)],[c_0_1135])).++cnf(c_0_1610,plain,+ ( lhs_atom322 ),+ inference(split_conjunct,[status(thm)],[c_0_1136])).++cnf(c_0_1611,plain,+ ( lhs_atom321 ),+ inference(split_conjunct,[status(thm)],[c_0_1137])).++cnf(c_0_1612,plain,+ ( lhs_atom320 ),+ inference(split_conjunct,[status(thm)],[c_0_1138])).++cnf(c_0_1613,plain,+ ( lhs_atom319 ),+ inference(split_conjunct,[status(thm)],[c_0_1139])).++cnf(c_0_1614,plain,+ ( lhs_atom318 ),+ inference(split_conjunct,[status(thm)],[c_0_1140])).++cnf(c_0_1615,plain,+ ( lhs_atom317 ),+ inference(split_conjunct,[status(thm)],[c_0_1141])).++cnf(c_0_1616,plain,+ ( lhs_atom316 ),+ inference(split_conjunct,[status(thm)],[c_0_1142])).++cnf(c_0_1617,plain,+ ( lhs_atom315 ),+ inference(split_conjunct,[status(thm)],[c_0_1143])).++cnf(c_0_1618,plain,+ ( lhs_atom314 ),+ inference(split_conjunct,[status(thm)],[c_0_1144])).++cnf(c_0_1619,plain,+ ( lhs_atom313 ),+ inference(split_conjunct,[status(thm)],[c_0_1145])).++cnf(c_0_1620,plain,+ ( lhs_atom312 ),+ inference(split_conjunct,[status(thm)],[c_0_1146])).++cnf(c_0_1621,plain,+ ( lhs_atom311 ),+ inference(split_conjunct,[status(thm)],[c_0_1147])).++cnf(c_0_1622,plain,+ ( lhs_atom310 ),+ inference(split_conjunct,[status(thm)],[c_0_1148])).++cnf(c_0_1623,plain,+ ( lhs_atom309 ),+ inference(split_conjunct,[status(thm)],[c_0_1149])).++cnf(c_0_1624,plain,+ ( lhs_atom308 ),+ inference(split_conjunct,[status(thm)],[c_0_1150])).++cnf(c_0_1625,plain,+ ( lhs_atom307 ),+ inference(split_conjunct,[status(thm)],[c_0_1151])).++cnf(c_0_1626,plain,+ ( lhs_atom306 ),+ inference(split_conjunct,[status(thm)],[c_0_1152])).++cnf(c_0_1627,plain,+ ( lhs_atom305 ),+ inference(split_conjunct,[status(thm)],[c_0_1153])).++cnf(c_0_1628,plain,+ ( lhs_atom304 ),+ inference(split_conjunct,[status(thm)],[c_0_1154])).++cnf(c_0_1629,plain,+ ( lhs_atom303 ),+ inference(split_conjunct,[status(thm)],[c_0_1155])).++cnf(c_0_1630,plain,+ ( lhs_atom302 ),+ inference(split_conjunct,[status(thm)],[c_0_1156])).++cnf(c_0_1631,plain,+ ( lhs_atom301 ),+ inference(split_conjunct,[status(thm)],[c_0_1157])).++cnf(c_0_1632,plain,+ ( lhs_atom300 ),+ inference(split_conjunct,[status(thm)],[c_0_1158])).++cnf(c_0_1633,plain,+ ( lhs_atom299 ),+ inference(split_conjunct,[status(thm)],[c_0_1159])).++cnf(c_0_1634,plain,+ ( lhs_atom298 ),+ inference(split_conjunct,[status(thm)],[c_0_1160])).++cnf(c_0_1635,plain,+ ( lhs_atom297 ),+ inference(split_conjunct,[status(thm)],[c_0_1161])).++cnf(c_0_1636,plain,+ ( lhs_atom296 ),+ inference(split_conjunct,[status(thm)],[c_0_1162])).++cnf(c_0_1637,plain,+ ( lhs_atom295 ),+ inference(split_conjunct,[status(thm)],[c_0_1163])).++cnf(c_0_1638,plain,+ ( lhs_atom294 ),+ inference(split_conjunct,[status(thm)],[c_0_1164])).++cnf(c_0_1639,plain,+ ( lhs_atom293 ),+ inference(split_conjunct,[status(thm)],[c_0_1165])).++cnf(c_0_1640,plain,+ ( lhs_atom292 ),+ inference(split_conjunct,[status(thm)],[c_0_1166])).++cnf(c_0_1641,plain,+ ( lhs_atom291 ),+ inference(split_conjunct,[status(thm)],[c_0_1167])).++cnf(c_0_1642,plain,+ ( lhs_atom290 ),+ inference(split_conjunct,[status(thm)],[c_0_1168])).++cnf(c_0_1643,plain,+ ( lhs_atom289 ),+ inference(split_conjunct,[status(thm)],[c_0_1169])).++cnf(c_0_1644,plain,+ ( lhs_atom288 ),+ inference(split_conjunct,[status(thm)],[c_0_1170])).++cnf(c_0_1645,plain,+ ( lhs_atom287 ),+ inference(split_conjunct,[status(thm)],[c_0_1171])).++cnf(c_0_1646,plain,+ ( lhs_atom286 ),+ inference(split_conjunct,[status(thm)],[c_0_1172])).++cnf(c_0_1647,plain,+ ( lhs_atom285 ),+ inference(split_conjunct,[status(thm)],[c_0_1173])).++cnf(c_0_1648,plain,+ ( lhs_atom284 ),+ inference(split_conjunct,[status(thm)],[c_0_1174])).++cnf(c_0_1649,plain,+ ( lhs_atom283 ),+ inference(split_conjunct,[status(thm)],[c_0_1175])).++cnf(c_0_1650,plain,+ ( lhs_atom282 ),+ inference(split_conjunct,[status(thm)],[c_0_1176])).++cnf(c_0_1651,plain,+ ( lhs_atom281 ),+ inference(split_conjunct,[status(thm)],[c_0_1177])).++cnf(c_0_1652,plain,+ ( lhs_atom280 ),+ inference(split_conjunct,[status(thm)],[c_0_1178])).++cnf(c_0_1653,plain,+ ( lhs_atom279 ),+ inference(split_conjunct,[status(thm)],[c_0_1179])).++cnf(c_0_1654,plain,+ ( lhs_atom278 ),+ inference(split_conjunct,[status(thm)],[c_0_1180])).++cnf(c_0_1655,plain,+ ( lhs_atom277 ),+ inference(split_conjunct,[status(thm)],[c_0_1181])).++cnf(c_0_1656,plain,+ ( lhs_atom276 ),+ inference(split_conjunct,[status(thm)],[c_0_1182])).++cnf(c_0_1657,plain,+ ( lhs_atom275 ),+ inference(split_conjunct,[status(thm)],[c_0_1183])).++cnf(c_0_1658,plain,+ ( lhs_atom274 ),+ inference(split_conjunct,[status(thm)],[c_0_1184])).++cnf(c_0_1659,plain,+ ( lhs_atom273 ),+ inference(split_conjunct,[status(thm)],[c_0_1185])).++cnf(c_0_1660,plain,+ ( lhs_atom272 ),+ inference(split_conjunct,[status(thm)],[c_0_1186])).++cnf(c_0_1661,plain,+ ( lhs_atom271 ),+ inference(split_conjunct,[status(thm)],[c_0_1187])).++cnf(c_0_1662,plain,+ ( lhs_atom270 ),+ inference(split_conjunct,[status(thm)],[c_0_1188])).++cnf(c_0_1663,plain,+ ( lhs_atom269 ),+ inference(split_conjunct,[status(thm)],[c_0_1189])).++cnf(c_0_1664,plain,+ ( lhs_atom268 ),+ inference(split_conjunct,[status(thm)],[c_0_1190])).++cnf(c_0_1665,plain,+ ( lhs_atom267 ),+ inference(split_conjunct,[status(thm)],[c_0_1191])).++cnf(c_0_1666,plain,+ ( lhs_atom266 ),+ inference(split_conjunct,[status(thm)],[c_0_1192])).++cnf(c_0_1667,plain,+ ( lhs_atom265 ),+ inference(split_conjunct,[status(thm)],[c_0_1193])).++cnf(c_0_1668,plain,+ ( lhs_atom264 ),+ inference(split_conjunct,[status(thm)],[c_0_1194])).++cnf(c_0_1669,plain,+ ( lhs_atom263 ),+ inference(split_conjunct,[status(thm)],[c_0_1195])).++cnf(c_0_1670,plain,+ ( lhs_atom262 ),+ inference(split_conjunct,[status(thm)],[c_0_1196])).++cnf(c_0_1671,plain,+ ( lhs_atom261 ),+ inference(split_conjunct,[status(thm)],[c_0_1197])).++cnf(c_0_1672,plain,+ ( lhs_atom260 ),+ inference(split_conjunct,[status(thm)],[c_0_1198])).++cnf(c_0_1673,plain,+ ( lhs_atom223 ),+ inference(split_conjunct,[status(thm)],[c_0_1199])).++cnf(c_0_1674,plain,+ ( lhs_atom222 ),+ inference(split_conjunct,[status(thm)],[c_0_1200])).++cnf(c_0_1675,plain,+ ( lhs_atom221 ),+ inference(split_conjunct,[status(thm)],[c_0_1201])).++cnf(c_0_1676,plain,+ ( lhs_atom220 ),+ inference(split_conjunct,[status(thm)],[c_0_1202])).++cnf(c_0_1677,plain,+ ( lhs_atom219 ),+ inference(split_conjunct,[status(thm)],[c_0_1203])).++cnf(c_0_1678,plain,+ ( lhs_atom218 ),+ inference(split_conjunct,[status(thm)],[c_0_1204])).++cnf(c_0_1679,plain,+ ( lhs_atom217 ),+ inference(split_conjunct,[status(thm)],[c_0_1205])).++cnf(c_0_1680,plain,+ ( lhs_atom216 ),+ inference(split_conjunct,[status(thm)],[c_0_1206])).++cnf(c_0_1681,plain,+ ( lhs_atom215 ),+ inference(split_conjunct,[status(thm)],[c_0_1207])).++cnf(c_0_1682,plain,+ ( lhs_atom214 ),+ inference(split_conjunct,[status(thm)],[c_0_1208])).++cnf(c_0_1683,plain,+ ( lhs_atom213 ),+ inference(split_conjunct,[status(thm)],[c_0_1209])).++cnf(c_0_1684,plain,+ ( lhs_atom212 ),+ inference(split_conjunct,[status(thm)],[c_0_1210])).++cnf(c_0_1685,plain,+ ( lhs_atom211 ),+ inference(split_conjunct,[status(thm)],[c_0_1211])).++cnf(c_0_1686,plain,+ ( lhs_atom210 ),+ inference(split_conjunct,[status(thm)],[c_0_1212])).++cnf(c_0_1687,plain,+ ( lhs_atom209 ),+ inference(split_conjunct,[status(thm)],[c_0_1213])).++cnf(c_0_1688,plain,+ ( lhs_atom208 ),+ inference(split_conjunct,[status(thm)],[c_0_1214])).++cnf(c_0_1689,plain,+ ( lhs_atom207 ),+ inference(split_conjunct,[status(thm)],[c_0_1215])).++cnf(c_0_1690,plain,+ ( lhs_atom206 ),+ inference(split_conjunct,[status(thm)],[c_0_1216])).++cnf(c_0_1691,plain,+ ( lhs_atom205 ),+ inference(split_conjunct,[status(thm)],[c_0_1217])).++cnf(c_0_1692,plain,+ ( lhs_atom204 ),+ inference(split_conjunct,[status(thm)],[c_0_1218])).++cnf(c_0_1693,plain,+ ( lhs_atom203 ),+ inference(split_conjunct,[status(thm)],[c_0_1219])).++cnf(c_0_1694,plain,+ ( lhs_atom202 ),+ inference(split_conjunct,[status(thm)],[c_0_1220])).++cnf(c_0_1695,plain,+ ( lhs_atom201 ),+ inference(split_conjunct,[status(thm)],[c_0_1221])).++cnf(c_0_1696,plain,+ ( lhs_atom200 ),+ inference(split_conjunct,[status(thm)],[c_0_1222])).++cnf(c_0_1697,plain,+ ( lhs_atom199 ),+ inference(split_conjunct,[status(thm)],[c_0_1223])).++cnf(c_0_1698,plain,+ ( lhs_atom198 ),+ inference(split_conjunct,[status(thm)],[c_0_1224])).++cnf(c_0_1699,plain,+ ( lhs_atom197 ),+ inference(split_conjunct,[status(thm)],[c_0_1225])).++cnf(c_0_1700,plain,+ ( lhs_atom196 ),+ inference(split_conjunct,[status(thm)],[c_0_1226])).++cnf(c_0_1701,plain,+ ( lhs_atom195 ),+ inference(split_conjunct,[status(thm)],[c_0_1227])).++cnf(c_0_1702,plain,+ ( lhs_atom194 ),+ inference(split_conjunct,[status(thm)],[c_0_1228])).++cnf(c_0_1703,plain,+ ( lhs_atom193 ),+ inference(split_conjunct,[status(thm)],[c_0_1229])).++cnf(c_0_1704,plain,+ ( lhs_atom192 ),+ inference(split_conjunct,[status(thm)],[c_0_1230])).++cnf(c_0_1705,plain,+ ( lhs_atom191 ),+ inference(split_conjunct,[status(thm)],[c_0_1231])).++cnf(c_0_1706,plain,+ ( lhs_atom190 ),+ inference(split_conjunct,[status(thm)],[c_0_1232])).++cnf(c_0_1707,plain,+ ( lhs_atom189 ),+ inference(split_conjunct,[status(thm)],[c_0_1233])).++cnf(c_0_1708,plain,+ ( lhs_atom188 ),+ inference(split_conjunct,[status(thm)],[c_0_1234])).++cnf(c_0_1709,plain,+ ( lhs_atom187 ),+ inference(split_conjunct,[status(thm)],[c_0_1235])).++cnf(c_0_1710,plain,+ ( lhs_atom186 ),+ inference(split_conjunct,[status(thm)],[c_0_1236])).++cnf(c_0_1711,plain,+ ( lhs_atom185 ),+ inference(split_conjunct,[status(thm)],[c_0_1237])).++cnf(c_0_1712,plain,+ ( lhs_atom184 ),+ inference(split_conjunct,[status(thm)],[c_0_1238])).++cnf(c_0_1713,plain,+ ( lhs_atom183 ),+ inference(split_conjunct,[status(thm)],[c_0_1239])).++cnf(c_0_1714,plain,+ ( lhs_atom182 ),+ inference(split_conjunct,[status(thm)],[c_0_1240])).++cnf(c_0_1715,plain,+ ( lhs_atom181 ),+ inference(split_conjunct,[status(thm)],[c_0_1241])).++cnf(c_0_1716,plain,+ ( lhs_atom180 ),+ inference(split_conjunct,[status(thm)],[c_0_1242])).++cnf(c_0_1717,plain,+ ( lhs_atom179 ),+ inference(split_conjunct,[status(thm)],[c_0_1243])).++cnf(c_0_1718,plain,+ ( lhs_atom178 ),+ inference(split_conjunct,[status(thm)],[c_0_1244])).++cnf(c_0_1719,plain,+ ( lhs_atom177 ),+ inference(split_conjunct,[status(thm)],[c_0_1245])).++cnf(c_0_1720,plain,+ ( lhs_atom176 ),+ inference(split_conjunct,[status(thm)],[c_0_1246])).++cnf(c_0_1721,plain,+ ( lhs_atom175 ),+ inference(split_conjunct,[status(thm)],[c_0_1247])).++cnf(c_0_1722,plain,+ ( lhs_atom174 ),+ inference(split_conjunct,[status(thm)],[c_0_1248])).++cnf(c_0_1723,plain,+ ( lhs_atom173 ),+ inference(split_conjunct,[status(thm)],[c_0_1249])).++cnf(c_0_1724,plain,+ ( lhs_atom172 ),+ inference(split_conjunct,[status(thm)],[c_0_1250])).++cnf(c_0_1725,plain,+ ( lhs_atom171 ),+ inference(split_conjunct,[status(thm)],[c_0_1251])).++cnf(c_0_1726,plain,+ ( lhs_atom170 ),+ inference(split_conjunct,[status(thm)],[c_0_1252])).++cnf(c_0_1727,plain,+ ( lhs_atom169 ),+ inference(split_conjunct,[status(thm)],[c_0_1253])).++cnf(c_0_1728,plain,+ ( lhs_atom168 ),+ inference(split_conjunct,[status(thm)],[c_0_1254])).++cnf(c_0_1729,plain,+ ( lhs_atom167 ),+ inference(split_conjunct,[status(thm)],[c_0_1255])).++cnf(c_0_1730,plain,+ ( lhs_atom166 ),+ inference(split_conjunct,[status(thm)],[c_0_1256])).++cnf(c_0_1731,plain,+ ( lhs_atom165 ),+ inference(split_conjunct,[status(thm)],[c_0_1257])).++cnf(c_0_1732,plain,+ ( lhs_atom164 ),+ inference(split_conjunct,[status(thm)],[c_0_1258])).++cnf(c_0_1733,plain,+ ( lhs_atom163 ),+ inference(split_conjunct,[status(thm)],[c_0_1259])).++cnf(c_0_1734,plain,+ ( lhs_atom162 ),+ inference(split_conjunct,[status(thm)],[c_0_1260])).++cnf(c_0_1735,plain,+ ( lhs_atom161 ),+ inference(split_conjunct,[status(thm)],[c_0_1261])).++cnf(c_0_1736,plain,+ ( lhs_atom160 ),+ inference(split_conjunct,[status(thm)],[c_0_1262])).++cnf(c_0_1737,plain,+ ( lhs_atom159 ),+ inference(split_conjunct,[status(thm)],[c_0_1263])).++cnf(c_0_1738,plain,+ ( lhs_atom158 ),+ inference(split_conjunct,[status(thm)],[c_0_1264])).++cnf(c_0_1739,plain,+ ( lhs_atom157 ),+ inference(split_conjunct,[status(thm)],[c_0_1265])).++cnf(c_0_1740,plain,+ ( lhs_atom156 ),+ inference(split_conjunct,[status(thm)],[c_0_1266])).++cnf(c_0_1741,plain,+ ( lhs_atom155 ),+ inference(split_conjunct,[status(thm)],[c_0_1267])).++cnf(c_0_1742,plain,+ ( lhs_atom154 ),+ inference(split_conjunct,[status(thm)],[c_0_1268])).++cnf(c_0_1743,plain,+ ( lhs_atom153 ),+ inference(split_conjunct,[status(thm)],[c_0_1269])).++cnf(c_0_1744,plain,+ ( lhs_atom152 ),+ inference(split_conjunct,[status(thm)],[c_0_1270])).++cnf(c_0_1745,plain,+ ( lhs_atom151 ),+ inference(split_conjunct,[status(thm)],[c_0_1271])).++cnf(c_0_1746,plain,+ ( lhs_atom150 ),+ inference(split_conjunct,[status(thm)],[c_0_1272])).++cnf(c_0_1747,plain,+ ( lhs_atom149 ),+ inference(split_conjunct,[status(thm)],[c_0_1273])).++cnf(c_0_1748,plain,+ ( lhs_atom148 ),+ inference(split_conjunct,[status(thm)],[c_0_1274])).++cnf(c_0_1749,plain,+ ( lhs_atom147 ),+ inference(split_conjunct,[status(thm)],[c_0_1275])).++cnf(c_0_1750,plain,+ ( lhs_atom146 ),+ inference(split_conjunct,[status(thm)],[c_0_1276])).++cnf(c_0_1751,plain,+ ( lhs_atom145 ),+ inference(split_conjunct,[status(thm)],[c_0_1277])).++cnf(c_0_1752,plain,+ ( lhs_atom144 ),+ inference(split_conjunct,[status(thm)],[c_0_1278])).++cnf(c_0_1753,plain,+ ( lhs_atom143 ),+ inference(split_conjunct,[status(thm)],[c_0_1279])).++cnf(c_0_1754,plain,+ ( lhs_atom142 ),+ inference(split_conjunct,[status(thm)],[c_0_1280])).++cnf(c_0_1755,plain,+ ( lhs_atom141 ),+ inference(split_conjunct,[status(thm)],[c_0_1281])).++cnf(c_0_1756,plain,+ ( lhs_atom140 ),+ inference(split_conjunct,[status(thm)],[c_0_1282])).++cnf(c_0_1757,plain,+ ( lhs_atom139 ),+ inference(split_conjunct,[status(thm)],[c_0_1283])).++cnf(c_0_1758,plain,+ ( lhs_atom138 ),+ inference(split_conjunct,[status(thm)],[c_0_1284])).++cnf(c_0_1759,plain,+ ( lhs_atom137 ),+ inference(split_conjunct,[status(thm)],[c_0_1285])).++cnf(c_0_1760,plain,+ ( lhs_atom136 ),+ inference(split_conjunct,[status(thm)],[c_0_1286])).++cnf(c_0_1761,plain,+ ( lhs_atom135 ),+ inference(split_conjunct,[status(thm)],[c_0_1287])).++cnf(c_0_1762,plain,+ ( lhs_atom134 ),+ inference(split_conjunct,[status(thm)],[c_0_1288])).++cnf(c_0_1763,plain,+ ( lhs_atom133 ),+ inference(split_conjunct,[status(thm)],[c_0_1289])).++cnf(c_0_1764,plain,+ ( lhs_atom132 ),+ inference(split_conjunct,[status(thm)],[c_0_1290])).++cnf(c_0_1765,plain,+ ( lhs_atom131 ),+ inference(split_conjunct,[status(thm)],[c_0_1291])).++cnf(c_0_1766,plain,+ ( lhs_atom130 ),+ inference(split_conjunct,[status(thm)],[c_0_1292])).++cnf(c_0_1767,plain,+ ( lhs_atom129 ),+ inference(split_conjunct,[status(thm)],[c_0_1293])).++cnf(c_0_1768,plain,+ ( lhs_atom128 ),+ inference(split_conjunct,[status(thm)],[c_0_1294])).++cnf(c_0_1769,plain,+ ( lhs_atom127 ),+ inference(split_conjunct,[status(thm)],[c_0_1295])).++cnf(c_0_1770,plain,+ ( lhs_atom126 ),+ inference(split_conjunct,[status(thm)],[c_0_1296])).++cnf(c_0_1771,plain,+ ( lhs_atom125 ),+ inference(split_conjunct,[status(thm)],[c_0_1297])).++cnf(c_0_1772,plain,+ ( lhs_atom124 ),+ inference(split_conjunct,[status(thm)],[c_0_1298])).++cnf(c_0_1773,plain,+ ( lhs_atom123 ),+ inference(split_conjunct,[status(thm)],[c_0_1299])).++cnf(c_0_1774,plain,+ ( lhs_atom122 ),+ inference(split_conjunct,[status(thm)],[c_0_1300])).++cnf(c_0_1775,plain,+ ( lhs_atom121 ),+ inference(split_conjunct,[status(thm)],[c_0_1301])).++cnf(c_0_1776,plain,+ ( lhs_atom120 ),+ inference(split_conjunct,[status(thm)],[c_0_1302])).++cnf(c_0_1777,plain,+ ( lhs_atom119 ),+ inference(split_conjunct,[status(thm)],[c_0_1303])).++cnf(c_0_1778,plain,+ ( lhs_atom118 ),+ inference(split_conjunct,[status(thm)],[c_0_1304])).++cnf(c_0_1779,plain,+ ( lhs_atom117 ),+ inference(split_conjunct,[status(thm)],[c_0_1305])).++cnf(c_0_1780,plain,+ ( lhs_atom116 ),+ inference(split_conjunct,[status(thm)],[c_0_1306])).++cnf(c_0_1781,plain,+ ( lhs_atom115 ),+ inference(split_conjunct,[status(thm)],[c_0_1307])).++cnf(c_0_1782,plain,+ ( lhs_atom114 ),+ inference(split_conjunct,[status(thm)],[c_0_1308])).++cnf(c_0_1783,plain,+ ( lhs_atom113 ),+ inference(split_conjunct,[status(thm)],[c_0_1309])).++cnf(c_0_1784,plain,+ ( lhs_atom112 ),+ inference(split_conjunct,[status(thm)],[c_0_1310])).++cnf(c_0_1785,plain,+ ( lhs_atom111 ),+ inference(split_conjunct,[status(thm)],[c_0_1311])).++cnf(c_0_1786,plain,+ ( lhs_atom110 ),+ inference(split_conjunct,[status(thm)],[c_0_1312])).++cnf(c_0_1787,plain,+ ( lhs_atom109 ),+ inference(split_conjunct,[status(thm)],[c_0_1313])).++cnf(c_0_1788,plain,+ ( lhs_atom108 ),+ inference(split_conjunct,[status(thm)],[c_0_1314])).++cnf(c_0_1789,plain,+ ( lhs_atom107 ),+ inference(split_conjunct,[status(thm)],[c_0_1315])).++cnf(c_0_1790,plain,+ ( lhs_atom106 ),+ inference(split_conjunct,[status(thm)],[c_0_1316])).++cnf(c_0_1791,plain,+ ( lhs_atom105 ),+ inference(split_conjunct,[status(thm)],[c_0_1317])).++cnf(c_0_1792,plain,+ ( lhs_atom104 ),+ inference(split_conjunct,[status(thm)],[c_0_1318])).++cnf(c_0_1793,plain,+ ( lhs_atom103 ),+ inference(split_conjunct,[status(thm)],[c_0_1319])).++cnf(c_0_1794,plain,+ ( lhs_atom102 ),+ inference(split_conjunct,[status(thm)],[c_0_1320])).++cnf(c_0_1795,plain,+ ( lhs_atom101 ),+ inference(split_conjunct,[status(thm)],[c_0_1321])).++cnf(c_0_1796,plain,+ ( lhs_atom100 ),+ inference(split_conjunct,[status(thm)],[c_0_1322])).++cnf(c_0_1797,plain,+ ( lhs_atom99 ),+ inference(split_conjunct,[status(thm)],[c_0_1323])).++cnf(c_0_1798,plain,+ ( lhs_atom98 ),+ inference(split_conjunct,[status(thm)],[c_0_1324])).++cnf(c_0_1799,plain,+ ( lhs_atom97 ),+ inference(split_conjunct,[status(thm)],[c_0_1325])).++cnf(c_0_1800,plain,+ ( lhs_atom96 ),+ inference(split_conjunct,[status(thm)],[c_0_1326])).++cnf(c_0_1801,plain,+ ( lhs_atom95 ),+ inference(split_conjunct,[status(thm)],[c_0_1327])).++cnf(c_0_1802,plain,+ ( lhs_atom94 ),+ inference(split_conjunct,[status(thm)],[c_0_1328])).++cnf(c_0_1803,plain,+ ( lhs_atom93 ),+ inference(split_conjunct,[status(thm)],[c_0_1329])).++cnf(c_0_1804,plain,+ ( lhs_atom92 ),+ inference(split_conjunct,[status(thm)],[c_0_1330])).++cnf(c_0_1805,plain,+ ( lhs_atom91 ),+ inference(split_conjunct,[status(thm)],[c_0_1331])).++cnf(c_0_1806,plain,+ ( lhs_atom90 ),+ inference(split_conjunct,[status(thm)],[c_0_1332])).++cnf(c_0_1807,plain,+ ( lhs_atom89 ),+ inference(split_conjunct,[status(thm)],[c_0_1333])).++cnf(c_0_1808,plain,+ ( lhs_atom88 ),+ inference(split_conjunct,[status(thm)],[c_0_1334])).++cnf(c_0_1809,plain,+ ( lhs_atom87 ),+ inference(split_conjunct,[status(thm)],[c_0_1335])).++cnf(c_0_1810,plain,+ ( lhs_atom86 ),+ inference(split_conjunct,[status(thm)],[c_0_1336])).++cnf(c_0_1811,plain,+ ( lhs_atom85 ),+ inference(split_conjunct,[status(thm)],[c_0_1337])).++cnf(c_0_1812,plain,+ ( lhs_atom84 ),+ inference(split_conjunct,[status(thm)],[c_0_1338])).++cnf(c_0_1813,plain,+ ( lhs_atom83 ),+ inference(split_conjunct,[status(thm)],[c_0_1339])).++cnf(c_0_1814,plain,+ ( lhs_atom82 ),+ inference(split_conjunct,[status(thm)],[c_0_1340])).++cnf(c_0_1815,plain,+ ( lhs_atom81 ),+ inference(split_conjunct,[status(thm)],[c_0_1341])).++cnf(c_0_1816,plain,+ ( lhs_atom80 ),+ inference(split_conjunct,[status(thm)],[c_0_1342])).++cnf(c_0_1817,plain,+ ( lhs_atom79 ),+ inference(split_conjunct,[status(thm)],[c_0_1343])).++cnf(c_0_1818,plain,+ ( lhs_atom78 ),+ inference(split_conjunct,[status(thm)],[c_0_1344])).++cnf(c_0_1819,plain,+ ( lhs_atom77 ),+ inference(split_conjunct,[status(thm)],[c_0_1345])).++cnf(c_0_1820,plain,+ ( lhs_atom76 ),+ inference(split_conjunct,[status(thm)],[c_0_1346])).++cnf(c_0_1821,plain,+ ( lhs_atom75 ),+ inference(split_conjunct,[status(thm)],[c_0_1347])).++cnf(c_0_1822,plain,+ ( lhs_atom74 ),+ inference(split_conjunct,[status(thm)],[c_0_1348])).++cnf(c_0_1823,plain,+ ( lhs_atom73 ),+ inference(split_conjunct,[status(thm)],[c_0_1349])).++cnf(c_0_1824,plain,+ ( lhs_atom72 ),+ inference(split_conjunct,[status(thm)],[c_0_1350])).++cnf(c_0_1825,plain,+ ( lhs_atom71 ),+ inference(split_conjunct,[status(thm)],[c_0_1351])).++cnf(c_0_1826,plain,+ ( lhs_atom70 ),+ inference(split_conjunct,[status(thm)],[c_0_1352])).++cnf(c_0_1827,plain,+ ( lhs_atom69 ),+ inference(split_conjunct,[status(thm)],[c_0_1353])).++cnf(c_0_1828,plain,+ ( lhs_atom68 ),+ inference(split_conjunct,[status(thm)],[c_0_1354])).++cnf(c_0_1829,plain,+ ( lhs_atom67 ),+ inference(split_conjunct,[status(thm)],[c_0_1355])).++cnf(c_0_1830,plain,+ ( lhs_atom66 ),+ inference(split_conjunct,[status(thm)],[c_0_1356])).++cnf(c_0_1831,plain,+ ( lhs_atom65 ),+ inference(split_conjunct,[status(thm)],[c_0_1357])).++cnf(c_0_1832,plain,+ ( lhs_atom64 ),+ inference(split_conjunct,[status(thm)],[c_0_1358])).++cnf(c_0_1833,plain,+ ( lhs_atom63 ),+ inference(split_conjunct,[status(thm)],[c_0_1359])).++cnf(c_0_1834,plain,+ ( lhs_atom62 ),+ inference(split_conjunct,[status(thm)],[c_0_1360])).++cnf(c_0_1835,plain,+ ( lhs_atom61 ),+ inference(split_conjunct,[status(thm)],[c_0_1361])).++cnf(c_0_1836,plain,+ ( lhs_atom60 ),+ inference(split_conjunct,[status(thm)],[c_0_1362])).++cnf(c_0_1837,plain,+ ( lhs_atom59 ),+ inference(split_conjunct,[status(thm)],[c_0_1363])).++cnf(c_0_1838,plain,+ ( lhs_atom58 ),+ inference(split_conjunct,[status(thm)],[c_0_1364])).++cnf(c_0_1839,plain,+ ( lhs_atom57 ),+ inference(split_conjunct,[status(thm)],[c_0_1365])).++cnf(c_0_1840,plain,+ ( lhs_atom56 ),+ inference(split_conjunct,[status(thm)],[c_0_1366])).++cnf(c_0_1841,plain,+ ( lhs_atom55 ),+ inference(split_conjunct,[status(thm)],[c_0_1367])).++cnf(c_0_1842,plain,+ ( lhs_atom54 ),+ inference(split_conjunct,[status(thm)],[c_0_1368])).++cnf(c_0_1843,plain,+ ( lhs_atom53 ),+ inference(split_conjunct,[status(thm)],[c_0_1369])).++cnf(c_0_1844,plain,+ ( lhs_atom52 ),+ inference(split_conjunct,[status(thm)],[c_0_1370])).++cnf(c_0_1845,plain,+ ( lhs_atom51 ),+ inference(split_conjunct,[status(thm)],[c_0_1371])).++cnf(c_0_1846,plain,+ ( lhs_atom50 ),+ inference(split_conjunct,[status(thm)],[c_0_1372])).++cnf(c_0_1847,plain,+ ( lhs_atom49 ),+ inference(split_conjunct,[status(thm)],[c_0_1373])).++cnf(c_0_1848,plain,+ ( lhs_atom48 ),+ inference(split_conjunct,[status(thm)],[c_0_1374])).++cnf(c_0_1849,plain,+ ( lhs_atom47 ),+ inference(split_conjunct,[status(thm)],[c_0_1375])).++cnf(c_0_1850,plain,+ ( lhs_atom46 ),+ inference(split_conjunct,[status(thm)],[c_0_1376])).++cnf(c_0_1851,plain,+ ( lhs_atom45 ),+ inference(split_conjunct,[status(thm)],[c_0_1377])).++cnf(c_0_1852,plain,+ ( lhs_atom44 ),+ inference(split_conjunct,[status(thm)],[c_0_1378])).++cnf(c_0_1853,plain,+ ( lhs_atom43 ),+ inference(split_conjunct,[status(thm)],[c_0_1379])).++cnf(c_0_1854,plain,+ ( lhs_atom42 ),+ inference(split_conjunct,[status(thm)],[c_0_1380])).++cnf(c_0_1855,plain,+ ( lhs_atom41 ),+ inference(split_conjunct,[status(thm)],[c_0_1381])).++cnf(c_0_1856,plain,+ ( lhs_atom40 ),+ inference(split_conjunct,[status(thm)],[c_0_1382])).++cnf(c_0_1857,plain,+ ( lhs_atom39 ),+ inference(split_conjunct,[status(thm)],[c_0_1383])).++cnf(c_0_1858,plain,+ ( lhs_atom38 ),+ inference(split_conjunct,[status(thm)],[c_0_1384])).++cnf(c_0_1859,plain,+ ( lhs_atom37 ),+ inference(split_conjunct,[status(thm)],[c_0_1385])).++cnf(c_0_1860,plain,+ ( lhs_atom36 ),+ inference(split_conjunct,[status(thm)],[c_0_1386])).++cnf(c_0_1861,plain,+ ( lhs_atom35 ),+ inference(split_conjunct,[status(thm)],[c_0_1387])).++cnf(c_0_1862,plain,+ ( lhs_atom34 ),+ inference(split_conjunct,[status(thm)],[c_0_1388])).++cnf(c_0_1863,plain,+ ( lhs_atom33 ),+ inference(split_conjunct,[status(thm)],[c_0_1389])).++cnf(c_0_1864,plain,+ ( lhs_atom32 ),+ inference(split_conjunct,[status(thm)],[c_0_1390])).++cnf(c_0_1865,plain,+ ( lhs_atom31 ),+ inference(split_conjunct,[status(thm)],[c_0_1391])).++cnf(c_0_1866,plain,+ ( lhs_atom30 ),+ inference(split_conjunct,[status(thm)],[c_0_1392])).++cnf(c_0_1867,plain,+ ( lhs_atom29 ),+ inference(split_conjunct,[status(thm)],[c_0_1393])).++cnf(c_0_1868,plain,+ ( lhs_atom28 ),+ inference(split_conjunct,[status(thm)],[c_0_1394])).++cnf(c_0_1869,plain,+ ( lhs_atom27 ),+ inference(split_conjunct,[status(thm)],[c_0_1395])).++cnf(c_0_1870,plain,+ ( lhs_atom26 ),+ inference(split_conjunct,[status(thm)],[c_0_1396])).++cnf(c_0_1871,plain,+ ( lhs_atom25 ),+ inference(split_conjunct,[status(thm)],[c_0_1397])).++cnf(c_0_1872,plain,+ ( lhs_atom24 ),+ inference(split_conjunct,[status(thm)],[c_0_1398])).++cnf(c_0_1873,plain,+ ( lhs_atom23 ),+ inference(split_conjunct,[status(thm)],[c_0_1399])).++cnf(c_0_1874,plain,+ ( lhs_atom22 ),+ inference(split_conjunct,[status(thm)],[c_0_1400])).++cnf(c_0_1875,plain,+ ( lhs_atom21 ),+ inference(split_conjunct,[status(thm)],[c_0_1401])).++cnf(c_0_1876,plain,+ ( lhs_atom20 ),+ inference(split_conjunct,[status(thm)],[c_0_1402])).++cnf(c_0_1877,plain,+ ( lhs_atom19 ),+ inference(split_conjunct,[status(thm)],[c_0_1403])).++cnf(c_0_1878,plain,+ ( lhs_atom18 ),+ inference(split_conjunct,[status(thm)],[c_0_1404])).++cnf(c_0_1879,plain,+ ( lhs_atom17 ),+ inference(split_conjunct,[status(thm)],[c_0_1405])).++cnf(c_0_1880,plain,+ ( lhs_atom16 ),+ inference(split_conjunct,[status(thm)],[c_0_1406])).++cnf(c_0_1881,plain,+ ( lhs_atom15 ),+ inference(split_conjunct,[status(thm)],[c_0_1407])).++cnf(c_0_1882,plain,+ ( lhs_atom14 ),+ inference(split_conjunct,[status(thm)],[c_0_1408])).++cnf(c_0_1883,plain,+ ( lhs_atom13 ),+ inference(split_conjunct,[status(thm)],[c_0_1409])).++cnf(c_0_1884,plain,+ ( lhs_atom12 ),+ inference(split_conjunct,[status(thm)],[c_0_1410])).++cnf(c_0_1885,plain,+ ( lhs_atom11 ),+ inference(split_conjunct,[status(thm)],[c_0_1411])).++cnf(c_0_1886,plain,+ ( lhs_atom10 ),+ inference(split_conjunct,[status(thm)],[c_0_1412])).++cnf(c_0_1887,plain,+ ( lhs_atom9 ),+ inference(split_conjunct,[status(thm)],[c_0_1413])).++cnf(c_0_1888,plain,+ ( lhs_atom8 ),+ inference(split_conjunct,[status(thm)],[c_0_1414])).++cnf(c_0_1889,plain,+ ( lhs_atom7 ),+ inference(split_conjunct,[status(thm)],[c_0_1415])).++cnf(c_0_1890,plain,+ ( lhs_atom6 ),+ inference(split_conjunct,[status(thm)],[c_0_1416])).++cnf(c_0_1891,plain,+ ( lhs_atom5 ),+ inference(split_conjunct,[status(thm)],[c_0_1417])).++cnf(c_0_1892,plain,+ ( lhs_atom4 ),+ inference(split_conjunct,[status(thm)],[c_0_1418])).++cnf(c_0_1893,plain,+ ( lhs_atom3 ),+ inference(split_conjunct,[status(thm)],[c_0_1419])).++cnf(c_0_1894,plain,+ ( lhs_atom2 ),+ inference(split_conjunct,[status(thm)],[c_0_1420])).++cnf(c_0_1895,plain,+ ( lhs_atom1 ),+ inference(split_conjunct,[status(thm)],[c_0_1421])).++cnf(c_0_1896,plain,+ ( inv(e0) = e0+ | lhs_atom259 ),+ c_0_1422,+ [final]).++cnf(c_0_1897,plain,+ ( inv(e1) = e0+ | lhs_atom258 ),+ c_0_1423,+ [final]).++cnf(c_0_1898,plain,+ ( inv(e2) = e0+ | lhs_atom257 ),+ c_0_1424,+ [final]).++cnf(c_0_1899,plain,+ ( inv(e3) = e0+ | lhs_atom256 ),+ c_0_1425,+ [final]).++cnf(c_0_1900,plain,+ ( inv(e4) = e0+ | lhs_atom255 ),+ c_0_1426,+ [final]).++cnf(c_0_1901,plain,+ ( inv(e5) = e0+ | lhs_atom254 ),+ c_0_1427,+ [final]).++cnf(c_0_1902,plain,+ ( inv(e0) = e1+ | lhs_atom253 ),+ c_0_1428,+ [final]).++cnf(c_0_1903,plain,+ ( inv(e1) = e1+ | lhs_atom252 ),+ c_0_1429,+ [final]).++cnf(c_0_1904,plain,+ ( inv(e2) = e1+ | lhs_atom251 ),+ c_0_1430,+ [final]).++cnf(c_0_1905,plain,+ ( inv(e3) = e1+ | lhs_atom250 ),+ c_0_1431,+ [final]).++cnf(c_0_1906,plain,+ ( inv(e4) = e1+ | lhs_atom249 ),+ c_0_1432,+ [final]).++cnf(c_0_1907,plain,+ ( inv(e5) = e1+ | lhs_atom248 ),+ c_0_1433,+ [final]).++cnf(c_0_1908,plain,+ ( inv(e0) = e2+ | lhs_atom247 ),+ c_0_1434,+ [final]).++cnf(c_0_1909,plain,+ ( inv(e1) = e2+ | lhs_atom246 ),+ c_0_1435,+ [final]).++cnf(c_0_1910,plain,+ ( inv(e2) = e2+ | lhs_atom245 ),+ c_0_1436,+ [final]).++cnf(c_0_1911,plain,+ ( inv(e3) = e2+ | lhs_atom244 ),+ c_0_1437,+ [final]).++cnf(c_0_1912,plain,+ ( inv(e4) = e2+ | lhs_atom243 ),+ c_0_1438,+ [final]).++cnf(c_0_1913,plain,+ ( inv(e5) = e2+ | lhs_atom242 ),+ c_0_1439,+ [final]).++cnf(c_0_1914,plain,+ ( inv(e0) = e3+ | lhs_atom241 ),+ c_0_1440,+ [final]).++cnf(c_0_1915,plain,+ ( inv(e1) = e3+ | lhs_atom240 ),+ c_0_1441,+ [final]).++cnf(c_0_1916,plain,+ ( inv(e2) = e3+ | lhs_atom239 ),+ c_0_1442,+ [final]).++cnf(c_0_1917,plain,+ ( inv(e3) = e3+ | lhs_atom238 ),+ c_0_1443,+ [final]).++cnf(c_0_1918,plain,+ ( inv(e4) = e3+ | lhs_atom237 ),+ c_0_1444,+ [final]).++cnf(c_0_1919,plain,+ ( inv(e5) = e3+ | lhs_atom236 ),+ c_0_1445,+ [final]).++cnf(c_0_1920,plain,+ ( inv(e0) = e4+ | lhs_atom235 ),+ c_0_1446,+ [final]).++cnf(c_0_1921,plain,+ ( inv(e1) = e4+ | lhs_atom234 ),+ c_0_1447,+ [final]).++cnf(c_0_1922,plain,+ ( inv(e2) = e4+ | lhs_atom233 ),+ c_0_1448,+ [final]).++cnf(c_0_1923,plain,+ ( inv(e3) = e4+ | lhs_atom232 ),+ c_0_1449,+ [final]).++cnf(c_0_1924,plain,+ ( inv(e4) = e4+ | lhs_atom231 ),+ c_0_1450,+ [final]).++cnf(c_0_1925,plain,+ ( inv(e5) = e4+ | lhs_atom230 ),+ c_0_1451,+ [final]).++cnf(c_0_1926,plain,+ ( inv(e0) = e5+ | lhs_atom229 ),+ c_0_1452,+ [final]).++cnf(c_0_1927,plain,+ ( inv(e1) = e5+ | lhs_atom228 ),+ c_0_1453,+ [final]).++cnf(c_0_1928,plain,+ ( inv(e2) = e5+ | lhs_atom227 ),+ c_0_1454,+ [final]).++cnf(c_0_1929,plain,+ ( inv(e3) = e5+ | lhs_atom226 ),+ c_0_1455,+ [final]).++cnf(c_0_1930,plain,+ ( inv(e4) = e5+ | lhs_atom225 ),+ c_0_1456,+ [final]).++cnf(c_0_1931,plain,+ ( inv(e5) = e5+ | lhs_atom224 ),+ c_0_1457,+ [final]).++cnf(c_0_1932,plain,+ ( lhs_atom474 ),+ c_0_1458,+ [final]).++cnf(c_0_1933,plain,+ ( lhs_atom473 ),+ c_0_1459,+ [final]).++cnf(c_0_1934,plain,+ ( lhs_atom472 ),+ c_0_1460,+ [final]).++cnf(c_0_1935,plain,+ ( lhs_atom471 ),+ c_0_1461,+ [final]).++cnf(c_0_1936,plain,+ ( lhs_atom470 ),+ c_0_1462,+ [final]).++cnf(c_0_1937,plain,+ ( lhs_atom469 ),+ c_0_1463,+ [final]).++cnf(c_0_1938,plain,+ ( lhs_atom468 ),+ c_0_1464,+ [final]).++cnf(c_0_1939,plain,+ ( lhs_atom467 ),+ c_0_1465,+ [final]).++cnf(c_0_1940,plain,+ ( lhs_atom466 ),+ c_0_1466,+ [final]).++cnf(c_0_1941,plain,+ ( lhs_atom465 ),+ c_0_1467,+ [final]).++cnf(c_0_1942,plain,+ ( lhs_atom464 ),+ c_0_1468,+ [final]).++cnf(c_0_1943,plain,+ ( lhs_atom463 ),+ c_0_1469,+ [final]).++cnf(c_0_1944,plain,+ ( lhs_atom462 ),+ c_0_1470,+ [final]).++cnf(c_0_1945,plain,+ ( lhs_atom461 ),+ c_0_1471,+ [final]).++cnf(c_0_1946,plain,+ ( lhs_atom460 ),+ c_0_1472,+ [final]).++cnf(c_0_1947,plain,+ ( lhs_atom459 ),+ c_0_1473,+ [final]).++cnf(c_0_1948,plain,+ ( lhs_atom458 ),+ c_0_1474,+ [final]).++cnf(c_0_1949,plain,+ ( lhs_atom457 ),+ c_0_1475,+ [final]).++cnf(c_0_1950,plain,+ ( lhs_atom456 ),+ c_0_1476,+ [final]).++cnf(c_0_1951,plain,+ ( lhs_atom455 ),+ c_0_1477,+ [final]).++cnf(c_0_1952,plain,+ ( lhs_atom454 ),+ c_0_1478,+ [final]).++cnf(c_0_1953,plain,+ ( lhs_atom453 ),+ c_0_1479,+ [final]).++cnf(c_0_1954,plain,+ ( lhs_atom452 ),+ c_0_1480,+ [final]).++cnf(c_0_1955,plain,+ ( lhs_atom451 ),+ c_0_1481,+ [final]).++cnf(c_0_1956,plain,+ ( lhs_atom450 ),+ c_0_1482,+ [final]).++cnf(c_0_1957,plain,+ ( lhs_atom449 ),+ c_0_1483,+ [final]).++cnf(c_0_1958,plain,+ ( lhs_atom448 ),+ c_0_1484,+ [final]).++cnf(c_0_1959,plain,+ ( lhs_atom447 ),+ c_0_1485,+ [final]).++cnf(c_0_1960,plain,+ ( lhs_atom446 ),+ c_0_1486,+ [final]).++cnf(c_0_1961,plain,+ ( lhs_atom445 ),+ c_0_1487,+ [final]).++cnf(c_0_1962,plain,+ ( lhs_atom444 ),+ c_0_1488,+ [final]).++cnf(c_0_1963,plain,+ ( lhs_atom443 ),+ c_0_1489,+ [final]).++cnf(c_0_1964,plain,+ ( lhs_atom442 ),+ c_0_1490,+ [final]).++cnf(c_0_1965,plain,+ ( lhs_atom441 ),+ c_0_1491,+ [final]).++cnf(c_0_1966,plain,+ ( lhs_atom440 ),+ c_0_1492,+ [final]).++cnf(c_0_1967,plain,+ ( lhs_atom439 ),+ c_0_1493,+ [final]).++cnf(c_0_1968,plain,+ ( lhs_atom438 ),+ c_0_1494,+ [final]).++cnf(c_0_1969,plain,+ ( lhs_atom437 ),+ c_0_1495,+ [final]).++cnf(c_0_1970,plain,+ ( lhs_atom436 ),+ c_0_1496,+ [final]).++cnf(c_0_1971,plain,+ ( lhs_atom435 ),+ c_0_1497,+ [final]).++cnf(c_0_1972,plain,+ ( lhs_atom434 ),+ c_0_1498,+ [final]).++cnf(c_0_1973,plain,+ ( lhs_atom433 ),+ c_0_1499,+ [final]).++cnf(c_0_1974,plain,+ ( lhs_atom432 ),+ c_0_1500,+ [final]).++cnf(c_0_1975,plain,+ ( lhs_atom431 ),+ c_0_1501,+ [final]).++cnf(c_0_1976,plain,+ ( lhs_atom430 ),+ c_0_1502,+ [final]).++cnf(c_0_1977,plain,+ ( lhs_atom429 ),+ c_0_1503,+ [final]).++cnf(c_0_1978,plain,+ ( lhs_atom428 ),+ c_0_1504,+ [final]).++cnf(c_0_1979,plain,+ ( lhs_atom427 ),+ c_0_1505,+ [final]).++cnf(c_0_1980,plain,+ ( lhs_atom426 ),+ c_0_1506,+ [final]).++cnf(c_0_1981,plain,+ ( lhs_atom425 ),+ c_0_1507,+ [final]).++cnf(c_0_1982,plain,+ ( lhs_atom424 ),+ c_0_1508,+ [final]).++cnf(c_0_1983,plain,+ ( lhs_atom423 ),+ c_0_1509,+ [final]).++cnf(c_0_1984,plain,+ ( lhs_atom422 ),+ c_0_1510,+ [final]).++cnf(c_0_1985,plain,+ ( lhs_atom421 ),+ c_0_1511,+ [final]).++cnf(c_0_1986,plain,+ ( lhs_atom420 ),+ c_0_1512,+ [final]).++cnf(c_0_1987,plain,+ ( lhs_atom419 ),+ c_0_1513,+ [final]).++cnf(c_0_1988,plain,+ ( lhs_atom418 ),+ c_0_1514,+ [final]).++cnf(c_0_1989,plain,+ ( lhs_atom417 ),+ c_0_1515,+ [final]).++cnf(c_0_1990,plain,+ ( lhs_atom416 ),+ c_0_1516,+ [final]).++cnf(c_0_1991,plain,+ ( lhs_atom415 ),+ c_0_1517,+ [final]).++cnf(c_0_1992,plain,+ ( lhs_atom414 ),+ c_0_1518,+ [final]).++cnf(c_0_1993,plain,+ ( lhs_atom413 ),+ c_0_1519,+ [final]).++cnf(c_0_1994,plain,+ ( lhs_atom412 ),+ c_0_1520,+ [final]).++cnf(c_0_1995,plain,+ ( lhs_atom411 ),+ c_0_1521,+ [final]).++cnf(c_0_1996,plain,+ ( lhs_atom410 ),+ c_0_1522,+ [final]).++cnf(c_0_1997,plain,+ ( lhs_atom409 ),+ c_0_1523,+ [final]).++cnf(c_0_1998,plain,+ ( lhs_atom408 ),+ c_0_1524,+ [final]).++cnf(c_0_1999,plain,+ ( lhs_atom407 ),+ c_0_1525,+ [final]).++cnf(c_0_2000,plain,+ ( lhs_atom406 ),+ c_0_1526,+ [final]).++cnf(c_0_2001,plain,+ ( lhs_atom405 ),+ c_0_1527,+ [final]).++cnf(c_0_2002,plain,+ ( lhs_atom404 ),+ c_0_1528,+ [final]).++cnf(c_0_2003,plain,+ ( lhs_atom403 ),+ c_0_1529,+ [final]).++cnf(c_0_2004,plain,+ ( lhs_atom402 ),+ c_0_1530,+ [final]).++cnf(c_0_2005,plain,+ ( lhs_atom401 ),+ c_0_1531,+ [final]).++cnf(c_0_2006,plain,+ ( lhs_atom400 ),+ c_0_1532,+ [final]).++cnf(c_0_2007,plain,+ ( lhs_atom399 ),+ c_0_1533,+ [final]).++cnf(c_0_2008,plain,+ ( lhs_atom398 ),+ c_0_1534,+ [final]).++cnf(c_0_2009,plain,+ ( lhs_atom397 ),+ c_0_1535,+ [final]).++cnf(c_0_2010,plain,+ ( lhs_atom396 ),+ c_0_1536,+ [final]).++cnf(c_0_2011,plain,+ ( lhs_atom395 ),+ c_0_1537,+ [final]).++cnf(c_0_2012,plain,+ ( lhs_atom394 ),+ c_0_1538,+ [final]).++cnf(c_0_2013,plain,+ ( lhs_atom393 ),+ c_0_1539,+ [final]).++cnf(c_0_2014,plain,+ ( lhs_atom392 ),+ c_0_1540,+ [final]).++cnf(c_0_2015,plain,+ ( lhs_atom391 ),+ c_0_1541,+ [final]).++cnf(c_0_2016,plain,+ ( lhs_atom390 ),+ c_0_1542,+ [final]).++cnf(c_0_2017,plain,+ ( lhs_atom389 ),+ c_0_1543,+ [final]).++cnf(c_0_2018,plain,+ ( lhs_atom388 ),+ c_0_1544,+ [final]).++cnf(c_0_2019,plain,+ ( lhs_atom387 ),+ c_0_1545,+ [final]).++cnf(c_0_2020,plain,+ ( lhs_atom386 ),+ c_0_1546,+ [final]).++cnf(c_0_2021,plain,+ ( lhs_atom385 ),+ c_0_1547,+ [final]).++cnf(c_0_2022,plain,+ ( lhs_atom384 ),+ c_0_1548,+ [final]).++cnf(c_0_2023,plain,+ ( lhs_atom383 ),+ c_0_1549,+ [final]).++cnf(c_0_2024,plain,+ ( lhs_atom382 ),+ c_0_1550,+ [final]).++cnf(c_0_2025,plain,+ ( lhs_atom381 ),+ c_0_1551,+ [final]).++cnf(c_0_2026,plain,+ ( lhs_atom380 ),+ c_0_1552,+ [final]).++cnf(c_0_2027,plain,+ ( lhs_atom379 ),+ c_0_1553,+ [final]).++cnf(c_0_2028,plain,+ ( lhs_atom378 ),+ c_0_1554,+ [final]).++cnf(c_0_2029,plain,+ ( lhs_atom377 ),+ c_0_1555,+ [final]).++cnf(c_0_2030,plain,+ ( lhs_atom376 ),+ c_0_1556,+ [final]).++cnf(c_0_2031,plain,+ ( lhs_atom375 ),+ c_0_1557,+ [final]).++cnf(c_0_2032,plain,+ ( lhs_atom374 ),+ c_0_1558,+ [final]).++cnf(c_0_2033,plain,+ ( lhs_atom373 ),+ c_0_1559,+ [final]).++cnf(c_0_2034,plain,+ ( lhs_atom372 ),+ c_0_1560,+ [final]).++cnf(c_0_2035,plain,+ ( lhs_atom371 ),+ c_0_1561,+ [final]).++cnf(c_0_2036,plain,+ ( lhs_atom370 ),+ c_0_1562,+ [final]).++cnf(c_0_2037,plain,+ ( lhs_atom369 ),+ c_0_1563,+ [final]).++cnf(c_0_2038,plain,+ ( lhs_atom368 ),+ c_0_1564,+ [final]).++cnf(c_0_2039,plain,+ ( lhs_atom367 ),+ c_0_1565,+ [final]).++cnf(c_0_2040,plain,+ ( lhs_atom366 ),+ c_0_1566,+ [final]).++cnf(c_0_2041,plain,+ ( lhs_atom365 ),+ c_0_1567,+ [final]).++cnf(c_0_2042,plain,+ ( lhs_atom364 ),+ c_0_1568,+ [final]).++cnf(c_0_2043,plain,+ ( lhs_atom363 ),+ c_0_1569,+ [final]).++cnf(c_0_2044,plain,+ ( lhs_atom362 ),+ c_0_1570,+ [final]).++cnf(c_0_2045,plain,+ ( lhs_atom361 ),+ c_0_1571,+ [final]).++cnf(c_0_2046,plain,+ ( lhs_atom360 ),+ c_0_1572,+ [final]).++cnf(c_0_2047,plain,+ ( lhs_atom359 ),+ c_0_1573,+ [final]).++cnf(c_0_2048,plain,+ ( lhs_atom358 ),+ c_0_1574,+ [final]).++cnf(c_0_2049,plain,+ ( lhs_atom357 ),+ c_0_1575,+ [final]).++cnf(c_0_2050,plain,+ ( lhs_atom356 ),+ c_0_1576,+ [final]).++cnf(c_0_2051,plain,+ ( lhs_atom355 ),+ c_0_1577,+ [final]).++cnf(c_0_2052,plain,+ ( lhs_atom354 ),+ c_0_1578,+ [final]).++cnf(c_0_2053,plain,+ ( lhs_atom353 ),+ c_0_1579,+ [final]).++cnf(c_0_2054,plain,+ ( lhs_atom352 ),+ c_0_1580,+ [final]).++cnf(c_0_2055,plain,+ ( lhs_atom351 ),+ c_0_1581,+ [final]).++cnf(c_0_2056,plain,+ ( lhs_atom350 ),+ c_0_1582,+ [final]).++cnf(c_0_2057,plain,+ ( lhs_atom349 ),+ c_0_1583,+ [final]).++cnf(c_0_2058,plain,+ ( lhs_atom348 ),+ c_0_1584,+ [final]).++cnf(c_0_2059,plain,+ ( lhs_atom347 ),+ c_0_1585,+ [final]).++cnf(c_0_2060,plain,+ ( lhs_atom346 ),+ c_0_1586,+ [final]).++cnf(c_0_2061,plain,+ ( lhs_atom345 ),+ c_0_1587,+ [final]).++cnf(c_0_2062,plain,+ ( lhs_atom344 ),+ c_0_1588,+ [final]).++cnf(c_0_2063,plain,+ ( lhs_atom343 ),+ c_0_1589,+ [final]).++cnf(c_0_2064,plain,+ ( lhs_atom342 ),+ c_0_1590,+ [final]).++cnf(c_0_2065,plain,+ ( lhs_atom341 ),+ c_0_1591,+ [final]).++cnf(c_0_2066,plain,+ ( lhs_atom340 ),+ c_0_1592,+ [final]).++cnf(c_0_2067,plain,+ ( lhs_atom339 ),+ c_0_1593,+ [final]).++cnf(c_0_2068,plain,+ ( lhs_atom338 ),+ c_0_1594,+ [final]).++cnf(c_0_2069,plain,+ ( lhs_atom337 ),+ c_0_1595,+ [final]).++cnf(c_0_2070,plain,+ ( lhs_atom336 ),+ c_0_1596,+ [final]).++cnf(c_0_2071,plain,+ ( lhs_atom335 ),+ c_0_1597,+ [final]).++cnf(c_0_2072,plain,+ ( lhs_atom334 ),+ c_0_1598,+ [final]).++cnf(c_0_2073,plain,+ ( lhs_atom333 ),+ c_0_1599,+ [final]).++cnf(c_0_2074,plain,+ ( lhs_atom332 ),+ c_0_1600,+ [final]).++cnf(c_0_2075,plain,+ ( lhs_atom331 ),+ c_0_1601,+ [final]).++cnf(c_0_2076,plain,+ ( lhs_atom330 ),+ c_0_1602,+ [final]).++cnf(c_0_2077,plain,+ ( lhs_atom329 ),+ c_0_1603,+ [final]).++cnf(c_0_2078,plain,+ ( lhs_atom328 ),+ c_0_1604,+ [final]).++cnf(c_0_2079,plain,+ ( lhs_atom327 ),+ c_0_1605,+ [final]).++cnf(c_0_2080,plain,+ ( lhs_atom326 ),+ c_0_1606,+ [final]).++cnf(c_0_2081,plain,+ ( lhs_atom325 ),+ c_0_1607,+ [final]).++cnf(c_0_2082,plain,+ ( lhs_atom324 ),+ c_0_1608,+ [final]).++cnf(c_0_2083,plain,+ ( lhs_atom323 ),+ c_0_1609,+ [final]).++cnf(c_0_2084,plain,+ ( lhs_atom322 ),+ c_0_1610,+ [final]).++cnf(c_0_2085,plain,+ ( lhs_atom321 ),+ c_0_1611,+ [final]).++cnf(c_0_2086,plain,+ ( lhs_atom320 ),+ c_0_1612,+ [final]).++cnf(c_0_2087,plain,+ ( lhs_atom319 ),+ c_0_1613,+ [final]).++cnf(c_0_2088,plain,+ ( lhs_atom318 ),+ c_0_1614,+ [final]).++cnf(c_0_2089,plain,+ ( lhs_atom317 ),+ c_0_1615,+ [final]).++cnf(c_0_2090,plain,+ ( lhs_atom316 ),+ c_0_1616,+ [final]).++cnf(c_0_2091,plain,+ ( lhs_atom315 ),+ c_0_1617,+ [final]).++cnf(c_0_2092,plain,+ ( lhs_atom314 ),+ c_0_1618,+ [final]).++cnf(c_0_2093,plain,+ ( lhs_atom313 ),+ c_0_1619,+ [final]).++cnf(c_0_2094,plain,+ ( lhs_atom312 ),+ c_0_1620,+ [final]).++cnf(c_0_2095,plain,+ ( lhs_atom311 ),+ c_0_1621,+ [final]).++cnf(c_0_2096,plain,+ ( lhs_atom310 ),+ c_0_1622,+ [final]).++cnf(c_0_2097,plain,+ ( lhs_atom309 ),+ c_0_1623,+ [final]).++cnf(c_0_2098,plain,+ ( lhs_atom308 ),+ c_0_1624,+ [final]).++cnf(c_0_2099,plain,+ ( lhs_atom307 ),+ c_0_1625,+ [final]).++cnf(c_0_2100,plain,+ ( lhs_atom306 ),+ c_0_1626,+ [final]).++cnf(c_0_2101,plain,+ ( lhs_atom305 ),+ c_0_1627,+ [final]).++cnf(c_0_2102,plain,+ ( lhs_atom304 ),+ c_0_1628,+ [final]).++cnf(c_0_2103,plain,+ ( lhs_atom303 ),+ c_0_1629,+ [final]).++cnf(c_0_2104,plain,+ ( lhs_atom302 ),+ c_0_1630,+ [final]).++cnf(c_0_2105,plain,+ ( lhs_atom301 ),+ c_0_1631,+ [final]).++cnf(c_0_2106,plain,+ ( lhs_atom300 ),+ c_0_1632,+ [final]).++cnf(c_0_2107,plain,+ ( lhs_atom299 ),+ c_0_1633,+ [final]).++cnf(c_0_2108,plain,+ ( lhs_atom298 ),+ c_0_1634,+ [final]).++cnf(c_0_2109,plain,+ ( lhs_atom297 ),+ c_0_1635,+ [final]).++cnf(c_0_2110,plain,+ ( lhs_atom296 ),+ c_0_1636,+ [final]).++cnf(c_0_2111,plain,+ ( lhs_atom295 ),+ c_0_1637,+ [final]).++cnf(c_0_2112,plain,+ ( lhs_atom294 ),+ c_0_1638,+ [final]).++cnf(c_0_2113,plain,+ ( lhs_atom293 ),+ c_0_1639,+ [final]).++cnf(c_0_2114,plain,+ ( lhs_atom292 ),+ c_0_1640,+ [final]).++cnf(c_0_2115,plain,+ ( lhs_atom291 ),+ c_0_1641,+ [final]).++cnf(c_0_2116,plain,+ ( lhs_atom290 ),+ c_0_1642,+ [final]).++cnf(c_0_2117,plain,+ ( lhs_atom289 ),+ c_0_1643,+ [final]).++cnf(c_0_2118,plain,+ ( lhs_atom288 ),+ c_0_1644,+ [final]).++cnf(c_0_2119,plain,+ ( lhs_atom287 ),+ c_0_1645,+ [final]).++cnf(c_0_2120,plain,+ ( lhs_atom286 ),+ c_0_1646,+ [final]).++cnf(c_0_2121,plain,+ ( lhs_atom285 ),+ c_0_1647,+ [final]).++cnf(c_0_2122,plain,+ ( lhs_atom284 ),+ c_0_1648,+ [final]).++cnf(c_0_2123,plain,+ ( lhs_atom283 ),+ c_0_1649,+ [final]).++cnf(c_0_2124,plain,+ ( lhs_atom282 ),+ c_0_1650,+ [final]).++cnf(c_0_2125,plain,+ ( lhs_atom281 ),+ c_0_1651,+ [final]).++cnf(c_0_2126,plain,+ ( lhs_atom280 ),+ c_0_1652,+ [final]).++cnf(c_0_2127,plain,+ ( lhs_atom279 ),+ c_0_1653,+ [final]).++cnf(c_0_2128,plain,+ ( lhs_atom278 ),+ c_0_1654,+ [final]).++cnf(c_0_2129,plain,+ ( lhs_atom277 ),+ c_0_1655,+ [final]).++cnf(c_0_2130,plain,+ ( lhs_atom276 ),+ c_0_1656,+ [final]).++cnf(c_0_2131,plain,+ ( lhs_atom275 ),+ c_0_1657,+ [final]).++cnf(c_0_2132,plain,+ ( lhs_atom274 ),+ c_0_1658,+ [final]).++cnf(c_0_2133,plain,+ ( lhs_atom273 ),+ c_0_1659,+ [final]).++cnf(c_0_2134,plain,+ ( lhs_atom272 ),+ c_0_1660,+ [final]).++cnf(c_0_2135,plain,+ ( lhs_atom271 ),+ c_0_1661,+ [final]).++cnf(c_0_2136,plain,+ ( lhs_atom270 ),+ c_0_1662,+ [final]).++cnf(c_0_2137,plain,+ ( lhs_atom269 ),+ c_0_1663,+ [final]).++cnf(c_0_2138,plain,+ ( lhs_atom268 ),+ c_0_1664,+ [final]).++cnf(c_0_2139,plain,+ ( lhs_atom267 ),+ c_0_1665,+ [final]).++cnf(c_0_2140,plain,+ ( lhs_atom266 ),+ c_0_1666,+ [final]).++cnf(c_0_2141,plain,+ ( lhs_atom265 ),+ c_0_1667,+ [final]).++cnf(c_0_2142,plain,+ ( lhs_atom264 ),+ c_0_1668,+ [final]).++cnf(c_0_2143,plain,+ ( lhs_atom263 ),+ c_0_1669,+ [final]).++cnf(c_0_2144,plain,+ ( lhs_atom262 ),+ c_0_1670,+ [final]).++cnf(c_0_2145,plain,+ ( lhs_atom261 ),+ c_0_1671,+ [final]).++cnf(c_0_2146,plain,+ ( lhs_atom260 ),+ c_0_1672,+ [final]).++cnf(c_0_2147,plain,+ ( lhs_atom223 ),+ c_0_1673,+ [final]).++cnf(c_0_2148,plain,+ ( lhs_atom222 ),+ c_0_1674,+ [final]).++cnf(c_0_2149,plain,+ ( lhs_atom221 ),+ c_0_1675,+ [final]).++cnf(c_0_2150,plain,+ ( lhs_atom220 ),+ c_0_1676,+ [final]).++cnf(c_0_2151,plain,+ ( lhs_atom219 ),+ c_0_1677,+ [final]).++cnf(c_0_2152,plain,+ ( lhs_atom218 ),+ c_0_1678,+ [final]).++cnf(c_0_2153,plain,+ ( lhs_atom217 ),+ c_0_1679,+ [final]).++cnf(c_0_2154,plain,+ ( lhs_atom216 ),+ c_0_1680,+ [final]).++cnf(c_0_2155,plain,+ ( lhs_atom215 ),+ c_0_1681,+ [final]).++cnf(c_0_2156,plain,+ ( lhs_atom214 ),+ c_0_1682,+ [final]).++cnf(c_0_2157,plain,+ ( lhs_atom213 ),+ c_0_1683,+ [final]).++cnf(c_0_2158,plain,+ ( lhs_atom212 ),+ c_0_1684,+ [final]).++cnf(c_0_2159,plain,+ ( lhs_atom211 ),+ c_0_1685,+ [final]).++cnf(c_0_2160,plain,+ ( lhs_atom210 ),+ c_0_1686,+ [final]).++cnf(c_0_2161,plain,+ ( lhs_atom209 ),+ c_0_1687,+ [final]).++cnf(c_0_2162,plain,+ ( lhs_atom208 ),+ c_0_1688,+ [final]).++cnf(c_0_2163,plain,+ ( lhs_atom207 ),+ c_0_1689,+ [final]).++cnf(c_0_2164,plain,+ ( lhs_atom206 ),+ c_0_1690,+ [final]).++cnf(c_0_2165,plain,+ ( lhs_atom205 ),+ c_0_1691,+ [final]).++cnf(c_0_2166,plain,+ ( lhs_atom204 ),+ c_0_1692,+ [final]).++cnf(c_0_2167,plain,+ ( lhs_atom203 ),+ c_0_1693,+ [final]).++cnf(c_0_2168,plain,+ ( lhs_atom202 ),+ c_0_1694,+ [final]).++cnf(c_0_2169,plain,+ ( lhs_atom201 ),+ c_0_1695,+ [final]).++cnf(c_0_2170,plain,+ ( lhs_atom200 ),+ c_0_1696,+ [final]).++cnf(c_0_2171,plain,+ ( lhs_atom199 ),+ c_0_1697,+ [final]).++cnf(c_0_2172,plain,+ ( lhs_atom198 ),+ c_0_1698,+ [final]).++cnf(c_0_2173,plain,+ ( lhs_atom197 ),+ c_0_1699,+ [final]).++cnf(c_0_2174,plain,+ ( lhs_atom196 ),+ c_0_1700,+ [final]).++cnf(c_0_2175,plain,+ ( lhs_atom195 ),+ c_0_1701,+ [final]).++cnf(c_0_2176,plain,+ ( lhs_atom194 ),+ c_0_1702,+ [final]).++cnf(c_0_2177,plain,+ ( lhs_atom193 ),+ c_0_1703,+ [final]).++cnf(c_0_2178,plain,+ ( lhs_atom192 ),+ c_0_1704,+ [final]).++cnf(c_0_2179,plain,+ ( lhs_atom191 ),+ c_0_1705,+ [final]).++cnf(c_0_2180,plain,+ ( lhs_atom190 ),+ c_0_1706,+ [final]).++cnf(c_0_2181,plain,+ ( lhs_atom189 ),+ c_0_1707,+ [final]).++cnf(c_0_2182,plain,+ ( lhs_atom188 ),+ c_0_1708,+ [final]).++cnf(c_0_2183,plain,+ ( lhs_atom187 ),+ c_0_1709,+ [final]).++cnf(c_0_2184,plain,+ ( lhs_atom186 ),+ c_0_1710,+ [final]).++cnf(c_0_2185,plain,+ ( lhs_atom185 ),+ c_0_1711,+ [final]).++cnf(c_0_2186,plain,+ ( lhs_atom184 ),+ c_0_1712,+ [final]).++cnf(c_0_2187,plain,+ ( lhs_atom183 ),+ c_0_1713,+ [final]).++cnf(c_0_2188,plain,+ ( lhs_atom182 ),+ c_0_1714,+ [final]).++cnf(c_0_2189,plain,+ ( lhs_atom181 ),+ c_0_1715,+ [final]).++cnf(c_0_2190,plain,+ ( lhs_atom180 ),+ c_0_1716,+ [final]).++cnf(c_0_2191,plain,+ ( lhs_atom179 ),+ c_0_1717,+ [final]).++cnf(c_0_2192,plain,+ ( lhs_atom178 ),+ c_0_1718,+ [final]).++cnf(c_0_2193,plain,+ ( lhs_atom177 ),+ c_0_1719,+ [final]).++cnf(c_0_2194,plain,+ ( lhs_atom176 ),+ c_0_1720,+ [final]).++cnf(c_0_2195,plain,+ ( lhs_atom175 ),+ c_0_1721,+ [final]).++cnf(c_0_2196,plain,+ ( lhs_atom174 ),+ c_0_1722,+ [final]).++cnf(c_0_2197,plain,+ ( lhs_atom173 ),+ c_0_1723,+ [final]).++cnf(c_0_2198,plain,+ ( lhs_atom172 ),+ c_0_1724,+ [final]).++cnf(c_0_2199,plain,+ ( lhs_atom171 ),+ c_0_1725,+ [final]).++cnf(c_0_2200,plain,+ ( lhs_atom170 ),+ c_0_1726,+ [final]).++cnf(c_0_2201,plain,+ ( lhs_atom169 ),+ c_0_1727,+ [final]).++cnf(c_0_2202,plain,+ ( lhs_atom168 ),+ c_0_1728,+ [final]).++cnf(c_0_2203,plain,+ ( lhs_atom167 ),+ c_0_1729,+ [final]).++cnf(c_0_2204,plain,+ ( lhs_atom166 ),+ c_0_1730,+ [final]).++cnf(c_0_2205,plain,+ ( lhs_atom165 ),+ c_0_1731,+ [final]).++cnf(c_0_2206,plain,+ ( lhs_atom164 ),+ c_0_1732,+ [final]).++cnf(c_0_2207,plain,+ ( lhs_atom163 ),+ c_0_1733,+ [final]).++cnf(c_0_2208,plain,+ ( lhs_atom162 ),+ c_0_1734,+ [final]).++cnf(c_0_2209,plain,+ ( lhs_atom161 ),+ c_0_1735,+ [final]).++cnf(c_0_2210,plain,+ ( lhs_atom160 ),+ c_0_1736,+ [final]).++cnf(c_0_2211,plain,+ ( lhs_atom159 ),+ c_0_1737,+ [final]).++cnf(c_0_2212,plain,+ ( lhs_atom158 ),+ c_0_1738,+ [final]).++cnf(c_0_2213,plain,+ ( lhs_atom157 ),+ c_0_1739,+ [final]).++cnf(c_0_2214,plain,+ ( lhs_atom156 ),+ c_0_1740,+ [final]).++cnf(c_0_2215,plain,+ ( lhs_atom155 ),+ c_0_1741,+ [final]).++cnf(c_0_2216,plain,+ ( lhs_atom154 ),+ c_0_1742,+ [final]).++cnf(c_0_2217,plain,+ ( lhs_atom153 ),+ c_0_1743,+ [final]).++cnf(c_0_2218,plain,+ ( lhs_atom152 ),+ c_0_1744,+ [final]).++cnf(c_0_2219,plain,+ ( lhs_atom151 ),+ c_0_1745,+ [final]).++cnf(c_0_2220,plain,+ ( lhs_atom150 ),+ c_0_1746,+ [final]).++cnf(c_0_2221,plain,+ ( lhs_atom149 ),+ c_0_1747,+ [final]).++cnf(c_0_2222,plain,+ ( lhs_atom148 ),+ c_0_1748,+ [final]).++cnf(c_0_2223,plain,+ ( lhs_atom147 ),+ c_0_1749,+ [final]).++cnf(c_0_2224,plain,+ ( lhs_atom146 ),+ c_0_1750,+ [final]).++cnf(c_0_2225,plain,+ ( lhs_atom145 ),+ c_0_1751,+ [final]).++cnf(c_0_2226,plain,+ ( lhs_atom144 ),+ c_0_1752,+ [final]).++cnf(c_0_2227,plain,+ ( lhs_atom143 ),+ c_0_1753,+ [final]).++cnf(c_0_2228,plain,+ ( lhs_atom142 ),+ c_0_1754,+ [final]).++cnf(c_0_2229,plain,+ ( lhs_atom141 ),+ c_0_1755,+ [final]).++cnf(c_0_2230,plain,+ ( lhs_atom140 ),+ c_0_1756,+ [final]).++cnf(c_0_2231,plain,+ ( lhs_atom139 ),+ c_0_1757,+ [final]).++cnf(c_0_2232,plain,+ ( lhs_atom138 ),+ c_0_1758,+ [final]).++cnf(c_0_2233,plain,+ ( lhs_atom137 ),+ c_0_1759,+ [final]).++cnf(c_0_2234,plain,+ ( lhs_atom136 ),+ c_0_1760,+ [final]).++cnf(c_0_2235,plain,+ ( lhs_atom135 ),+ c_0_1761,+ [final]).++cnf(c_0_2236,plain,+ ( lhs_atom134 ),+ c_0_1762,+ [final]).++cnf(c_0_2237,plain,+ ( lhs_atom133 ),+ c_0_1763,+ [final]).++cnf(c_0_2238,plain,+ ( lhs_atom132 ),+ c_0_1764,+ [final]).++cnf(c_0_2239,plain,+ ( lhs_atom131 ),+ c_0_1765,+ [final]).++cnf(c_0_2240,plain,+ ( lhs_atom130 ),+ c_0_1766,+ [final]).++cnf(c_0_2241,plain,+ ( lhs_atom129 ),+ c_0_1767,+ [final]).++cnf(c_0_2242,plain,+ ( lhs_atom128 ),+ c_0_1768,+ [final]).++cnf(c_0_2243,plain,+ ( lhs_atom127 ),+ c_0_1769,+ [final]).++cnf(c_0_2244,plain,+ ( lhs_atom126 ),+ c_0_1770,+ [final]).++cnf(c_0_2245,plain,+ ( lhs_atom125 ),+ c_0_1771,+ [final]).++cnf(c_0_2246,plain,+ ( lhs_atom124 ),+ c_0_1772,+ [final]).++cnf(c_0_2247,plain,+ ( lhs_atom123 ),+ c_0_1773,+ [final]).++cnf(c_0_2248,plain,+ ( lhs_atom122 ),+ c_0_1774,+ [final]).++cnf(c_0_2249,plain,+ ( lhs_atom121 ),+ c_0_1775,+ [final]).++cnf(c_0_2250,plain,+ ( lhs_atom120 ),+ c_0_1776,+ [final]).++cnf(c_0_2251,plain,+ ( lhs_atom119 ),+ c_0_1777,+ [final]).++cnf(c_0_2252,plain,+ ( lhs_atom118 ),+ c_0_1778,+ [final]).++cnf(c_0_2253,plain,+ ( lhs_atom117 ),+ c_0_1779,+ [final]).++cnf(c_0_2254,plain,+ ( lhs_atom116 ),+ c_0_1780,+ [final]).++cnf(c_0_2255,plain,+ ( lhs_atom115 ),+ c_0_1781,+ [final]).++cnf(c_0_2256,plain,+ ( lhs_atom114 ),+ c_0_1782,+ [final]).++cnf(c_0_2257,plain,+ ( lhs_atom113 ),+ c_0_1783,+ [final]).++cnf(c_0_2258,plain,+ ( lhs_atom112 ),+ c_0_1784,+ [final]).++cnf(c_0_2259,plain,+ ( lhs_atom111 ),+ c_0_1785,+ [final]).++cnf(c_0_2260,plain,+ ( lhs_atom110 ),+ c_0_1786,+ [final]).++cnf(c_0_2261,plain,+ ( lhs_atom109 ),+ c_0_1787,+ [final]).++cnf(c_0_2262,plain,+ ( lhs_atom108 ),+ c_0_1788,+ [final]).++cnf(c_0_2263,plain,+ ( lhs_atom107 ),+ c_0_1789,+ [final]).++cnf(c_0_2264,plain,+ ( lhs_atom106 ),+ c_0_1790,+ [final]).++cnf(c_0_2265,plain,+ ( lhs_atom105 ),+ c_0_1791,+ [final]).++cnf(c_0_2266,plain,+ ( lhs_atom104 ),+ c_0_1792,+ [final]).++cnf(c_0_2267,plain,+ ( lhs_atom103 ),+ c_0_1793,+ [final]).++cnf(c_0_2268,plain,+ ( lhs_atom102 ),+ c_0_1794,+ [final]).++cnf(c_0_2269,plain,+ ( lhs_atom101 ),+ c_0_1795,+ [final]).++cnf(c_0_2270,plain,+ ( lhs_atom100 ),+ c_0_1796,+ [final]).++cnf(c_0_2271,plain,+ ( lhs_atom99 ),+ c_0_1797,+ [final]).++cnf(c_0_2272,plain,+ ( lhs_atom98 ),+ c_0_1798,+ [final]).++cnf(c_0_2273,plain,+ ( lhs_atom97 ),+ c_0_1799,+ [final]).++cnf(c_0_2274,plain,+ ( lhs_atom96 ),+ c_0_1800,+ [final]).++cnf(c_0_2275,plain,+ ( lhs_atom95 ),+ c_0_1801,+ [final]).++cnf(c_0_2276,plain,+ ( lhs_atom94 ),+ c_0_1802,+ [final]).++cnf(c_0_2277,plain,+ ( lhs_atom93 ),+ c_0_1803,+ [final]).++cnf(c_0_2278,plain,+ ( lhs_atom92 ),+ c_0_1804,+ [final]).++cnf(c_0_2279,plain,+ ( lhs_atom91 ),+ c_0_1805,+ [final]).++cnf(c_0_2280,plain,+ ( lhs_atom90 ),+ c_0_1806,+ [final]).++cnf(c_0_2281,plain,+ ( lhs_atom89 ),+ c_0_1807,+ [final]).++cnf(c_0_2282,plain,+ ( lhs_atom88 ),+ c_0_1808,+ [final]).++cnf(c_0_2283,plain,+ ( lhs_atom87 ),+ c_0_1809,+ [final]).++cnf(c_0_2284,plain,+ ( lhs_atom86 ),+ c_0_1810,+ [final]).++cnf(c_0_2285,plain,+ ( lhs_atom85 ),+ c_0_1811,+ [final]).++cnf(c_0_2286,plain,+ ( lhs_atom84 ),+ c_0_1812,+ [final]).++cnf(c_0_2287,plain,+ ( lhs_atom83 ),+ c_0_1813,+ [final]).++cnf(c_0_2288,plain,+ ( lhs_atom82 ),+ c_0_1814,+ [final]).++cnf(c_0_2289,plain,+ ( lhs_atom81 ),+ c_0_1815,+ [final]).++cnf(c_0_2290,plain,+ ( lhs_atom80 ),+ c_0_1816,+ [final]).++cnf(c_0_2291,plain,+ ( lhs_atom79 ),+ c_0_1817,+ [final]).++cnf(c_0_2292,plain,+ ( lhs_atom78 ),+ c_0_1818,+ [final]).++cnf(c_0_2293,plain,+ ( lhs_atom77 ),+ c_0_1819,+ [final]).++cnf(c_0_2294,plain,+ ( lhs_atom76 ),+ c_0_1820,+ [final]).++cnf(c_0_2295,plain,+ ( lhs_atom75 ),+ c_0_1821,+ [final]).++cnf(c_0_2296,plain,+ ( lhs_atom74 ),+ c_0_1822,+ [final]).++cnf(c_0_2297,plain,+ ( lhs_atom73 ),+ c_0_1823,+ [final]).++cnf(c_0_2298,plain,+ ( lhs_atom72 ),+ c_0_1824,+ [final]).++cnf(c_0_2299,plain,+ ( lhs_atom71 ),+ c_0_1825,+ [final]).++cnf(c_0_2300,plain,+ ( lhs_atom70 ),+ c_0_1826,+ [final]).++cnf(c_0_2301,plain,+ ( lhs_atom69 ),+ c_0_1827,+ [final]).++cnf(c_0_2302,plain,+ ( lhs_atom68 ),+ c_0_1828,+ [final]).++cnf(c_0_2303,plain,+ ( lhs_atom67 ),+ c_0_1829,+ [final]).++cnf(c_0_2304,plain,+ ( lhs_atom66 ),+ c_0_1830,+ [final]).++cnf(c_0_2305,plain,+ ( lhs_atom65 ),+ c_0_1831,+ [final]).++cnf(c_0_2306,plain,+ ( lhs_atom64 ),+ c_0_1832,+ [final]).++cnf(c_0_2307,plain,+ ( lhs_atom63 ),+ c_0_1833,+ [final]).++cnf(c_0_2308,plain,+ ( lhs_atom62 ),+ c_0_1834,+ [final]).++cnf(c_0_2309,plain,+ ( lhs_atom61 ),+ c_0_1835,+ [final]).++cnf(c_0_2310,plain,+ ( lhs_atom60 ),+ c_0_1836,+ [final]).++cnf(c_0_2311,plain,+ ( lhs_atom59 ),+ c_0_1837,+ [final]).++cnf(c_0_2312,plain,+ ( lhs_atom58 ),+ c_0_1838,+ [final]).++cnf(c_0_2313,plain,+ ( lhs_atom57 ),+ c_0_1839,+ [final]).++cnf(c_0_2314,plain,+ ( lhs_atom56 ),+ c_0_1840,+ [final]).++cnf(c_0_2315,plain,+ ( lhs_atom55 ),+ c_0_1841,+ [final]).++cnf(c_0_2316,plain,+ ( lhs_atom54 ),+ c_0_1842,+ [final]).++cnf(c_0_2317,plain,+ ( lhs_atom53 ),+ c_0_1843,+ [final]).++cnf(c_0_2318,plain,+ ( lhs_atom52 ),+ c_0_1844,+ [final]).++cnf(c_0_2319,plain,+ ( lhs_atom51 ),+ c_0_1845,+ [final]).++cnf(c_0_2320,plain,+ ( lhs_atom50 ),+ c_0_1846,+ [final]).++cnf(c_0_2321,plain,+ ( lhs_atom49 ),+ c_0_1847,+ [final]).++cnf(c_0_2322,plain,+ ( lhs_atom48 ),+ c_0_1848,+ [final]).++cnf(c_0_2323,plain,+ ( lhs_atom47 ),+ c_0_1849,+ [final]).++cnf(c_0_2324,plain,+ ( lhs_atom46 ),+ c_0_1850,+ [final]).++cnf(c_0_2325,plain,+ ( lhs_atom45 ),+ c_0_1851,+ [final]).++cnf(c_0_2326,plain,+ ( lhs_atom44 ),+ c_0_1852,+ [final]).++cnf(c_0_2327,plain,+ ( lhs_atom43 ),+ c_0_1853,+ [final]).++cnf(c_0_2328,plain,+ ( lhs_atom42 ),+ c_0_1854,+ [final]).++cnf(c_0_2329,plain,+ ( lhs_atom41 ),+ c_0_1855,+ [final]).++cnf(c_0_2330,plain,+ ( lhs_atom40 ),+ c_0_1856,+ [final]).++cnf(c_0_2331,plain,+ ( lhs_atom39 ),+ c_0_1857,+ [final]).++cnf(c_0_2332,plain,+ ( lhs_atom38 ),+ c_0_1858,+ [final]).++cnf(c_0_2333,plain,+ ( lhs_atom37 ),+ c_0_1859,+ [final]).++cnf(c_0_2334,plain,+ ( lhs_atom36 ),+ c_0_1860,+ [final]).++cnf(c_0_2335,plain,+ ( lhs_atom35 ),+ c_0_1861,+ [final]).++cnf(c_0_2336,plain,+ ( lhs_atom34 ),+ c_0_1862,+ [final]).++cnf(c_0_2337,plain,+ ( lhs_atom33 ),+ c_0_1863,+ [final]).++cnf(c_0_2338,plain,+ ( lhs_atom32 ),+ c_0_1864,+ [final]).++cnf(c_0_2339,plain,+ ( lhs_atom31 ),+ c_0_1865,+ [final]).++cnf(c_0_2340,plain,+ ( lhs_atom30 ),+ c_0_1866,+ [final]).++cnf(c_0_2341,plain,+ ( lhs_atom29 ),+ c_0_1867,+ [final]).++cnf(c_0_2342,plain,+ ( lhs_atom28 ),+ c_0_1868,+ [final]).++cnf(c_0_2343,plain,+ ( lhs_atom27 ),+ c_0_1869,+ [final]).++cnf(c_0_2344,plain,+ ( lhs_atom26 ),+ c_0_1870,+ [final]).++cnf(c_0_2345,plain,+ ( lhs_atom25 ),+ c_0_1871,+ [final]).++cnf(c_0_2346,plain,+ ( lhs_atom24 ),+ c_0_1872,+ [final]).++cnf(c_0_2347,plain,+ ( lhs_atom23 ),+ c_0_1873,+ [final]).++cnf(c_0_2348,plain,+ ( lhs_atom22 ),+ c_0_1874,+ [final]).++cnf(c_0_2349,plain,+ ( lhs_atom21 ),+ c_0_1875,+ [final]).++cnf(c_0_2350,plain,+ ( lhs_atom20 ),+ c_0_1876,+ [final]).++cnf(c_0_2351,plain,+ ( lhs_atom19 ),+ c_0_1877,+ [final]).++cnf(c_0_2352,plain,+ ( lhs_atom18 ),+ c_0_1878,+ [final]).++cnf(c_0_2353,plain,+ ( lhs_atom17 ),+ c_0_1879,+ [final]).++cnf(c_0_2354,plain,+ ( lhs_atom16 ),+ c_0_1880,+ [final]).++cnf(c_0_2355,plain,+ ( lhs_atom15 ),+ c_0_1881,+ [final]).++cnf(c_0_2356,plain,+ ( lhs_atom14 ),+ c_0_1882,+ [final]).++cnf(c_0_2357,plain,+ ( lhs_atom13 ),+ c_0_1883,+ [final]).++cnf(c_0_2358,plain,+ ( lhs_atom12 ),+ c_0_1884,+ [final]).++cnf(c_0_2359,plain,+ ( lhs_atom11 ),+ c_0_1885,+ [final]).++cnf(c_0_2360,plain,+ ( lhs_atom10 ),+ c_0_1886,+ [final]).++cnf(c_0_2361,plain,+ ( lhs_atom9 ),+ c_0_1887,+ [final]).++cnf(c_0_2362,plain,+ ( lhs_atom8 ),+ c_0_1888,+ [final]).++cnf(c_0_2363,plain,+ ( lhs_atom7 ),+ c_0_1889,+ [final]).++cnf(c_0_2364,plain,+ ( lhs_atom6 ),+ c_0_1890,+ [final]).++cnf(c_0_2365,plain,+ ( lhs_atom5 ),+ c_0_1891,+ [final]).++cnf(c_0_2366,plain,+ ( lhs_atom4 ),+ c_0_1892,+ [final]).++cnf(c_0_2367,plain,+ ( lhs_atom3 ),+ c_0_1893,+ [final]).++cnf(c_0_2368,plain,+ ( lhs_atom2 ),+ c_0_1894,+ [final]).++cnf(c_0_2369,plain,+ ( lhs_atom1 ),+ c_0_1895,+ [final]).++% End CNF derivation+cnf(c_0_1896_0,axiom,+ ( inv(e0) != e0+ | inv(e0) = e0 ),+ inference(unfold_definition,[status(thm)],[c_0_1896,def_lhs_atom259])).++cnf(c_0_1897_0,axiom,+ ( inv(e0) != e1+ | inv(e1) = e0 ),+ inference(unfold_definition,[status(thm)],[c_0_1897,def_lhs_atom258])).++cnf(c_0_1898_0,axiom,+ ( inv(e0) != e2+ | inv(e2) = e0 ),+ inference(unfold_definition,[status(thm)],[c_0_1898,def_lhs_atom257])).++cnf(c_0_1899_0,axiom,+ ( inv(e0) != e3+ | inv(e3) = e0 ),+ inference(unfold_definition,[status(thm)],[c_0_1899,def_lhs_atom256])).++cnf(c_0_1900_0,axiom,+ ( inv(e0) != e4+ | inv(e4) = e0 ),+ inference(unfold_definition,[status(thm)],[c_0_1900,def_lhs_atom255])).++cnf(c_0_1901_0,axiom,+ ( inv(e0) != e5+ | inv(e5) = e0 ),+ inference(unfold_definition,[status(thm)],[c_0_1901,def_lhs_atom254])).++cnf(c_0_1902_0,axiom,+ ( inv(e1) != e0+ | inv(e0) = e1 ),+ inference(unfold_definition,[status(thm)],[c_0_1902,def_lhs_atom253])).++cnf(c_0_1903_0,axiom,+ ( inv(e1) != e1+ | inv(e1) = e1 ),+ inference(unfold_definition,[status(thm)],[c_0_1903,def_lhs_atom252])).++cnf(c_0_1904_0,axiom,+ ( inv(e1) != e2+ | inv(e2) = e1 ),+ inference(unfold_definition,[status(thm)],[c_0_1904,def_lhs_atom251])).++cnf(c_0_1905_0,axiom,+ ( inv(e1) != e3+ | inv(e3) = e1 ),+ inference(unfold_definition,[status(thm)],[c_0_1905,def_lhs_atom250])).++cnf(c_0_1906_0,axiom,+ ( inv(e1) != e4+ | inv(e4) = e1 ),+ inference(unfold_definition,[status(thm)],[c_0_1906,def_lhs_atom249])).++cnf(c_0_1907_0,axiom,+ ( inv(e1) != e5+ | inv(e5) = e1 ),+ inference(unfold_definition,[status(thm)],[c_0_1907,def_lhs_atom248])).++cnf(c_0_1908_0,axiom,+ ( inv(e2) != e0+ | inv(e0) = e2 ),+ inference(unfold_definition,[status(thm)],[c_0_1908,def_lhs_atom247])).++cnf(c_0_1909_0,axiom,+ ( inv(e2) != e1+ | inv(e1) = e2 ),+ inference(unfold_definition,[status(thm)],[c_0_1909,def_lhs_atom246])).++cnf(c_0_1910_0,axiom,+ ( inv(e2) != e2+ | inv(e2) = e2 ),+ inference(unfold_definition,[status(thm)],[c_0_1910,def_lhs_atom245])).++cnf(c_0_1911_0,axiom,+ ( inv(e2) != e3+ | inv(e3) = e2 ),+ inference(unfold_definition,[status(thm)],[c_0_1911,def_lhs_atom244])).++cnf(c_0_1912_0,axiom,+ ( inv(e2) != e4+ | inv(e4) = e2 ),+ inference(unfold_definition,[status(thm)],[c_0_1912,def_lhs_atom243])).++cnf(c_0_1913_0,axiom,+ ( inv(e2) != e5+ | inv(e5) = e2 ),+ inference(unfold_definition,[status(thm)],[c_0_1913,def_lhs_atom242])).++cnf(c_0_1914_0,axiom,+ ( inv(e3) != e0+ | inv(e0) = e3 ),+ inference(unfold_definition,[status(thm)],[c_0_1914,def_lhs_atom241])).++cnf(c_0_1915_0,axiom,+ ( inv(e3) != e1+ | inv(e1) = e3 ),+ inference(unfold_definition,[status(thm)],[c_0_1915,def_lhs_atom240])).++cnf(c_0_1916_0,axiom,+ ( inv(e3) != e2+ | inv(e2) = e3 ),+ inference(unfold_definition,[status(thm)],[c_0_1916,def_lhs_atom239])).++cnf(c_0_1917_0,axiom,+ ( inv(e3) != e3+ | inv(e3) = e3 ),+ inference(unfold_definition,[status(thm)],[c_0_1917,def_lhs_atom238])).++cnf(c_0_1918_0,axiom,+ ( inv(e3) != e4+ | inv(e4) = e3 ),+ inference(unfold_definition,[status(thm)],[c_0_1918,def_lhs_atom237])).++cnf(c_0_1919_0,axiom,+ ( inv(e3) != e5+ | inv(e5) = e3 ),+ inference(unfold_definition,[status(thm)],[c_0_1919,def_lhs_atom236])).++cnf(c_0_1920_0,axiom,+ ( inv(e4) != e0+ | inv(e0) = e4 ),+ inference(unfold_definition,[status(thm)],[c_0_1920,def_lhs_atom235])).++cnf(c_0_1921_0,axiom,+ ( inv(e4) != e1+ | inv(e1) = e4 ),+ inference(unfold_definition,[status(thm)],[c_0_1921,def_lhs_atom234])).++cnf(c_0_1922_0,axiom,+ ( inv(e4) != e2+ | inv(e2) = e4 ),+ inference(unfold_definition,[status(thm)],[c_0_1922,def_lhs_atom233])).++cnf(c_0_1923_0,axiom,+ ( inv(e4) != e3+ | inv(e3) = e4 ),+ inference(unfold_definition,[status(thm)],[c_0_1923,def_lhs_atom232])).++cnf(c_0_1924_0,axiom,+ ( inv(e4) != e4+ | inv(e4) = e4 ),+ inference(unfold_definition,[status(thm)],[c_0_1924,def_lhs_atom231])).++cnf(c_0_1925_0,axiom,+ ( inv(e4) != e5+ | inv(e5) = e4 ),+ inference(unfold_definition,[status(thm)],[c_0_1925,def_lhs_atom230])).++cnf(c_0_1926_0,axiom,+ ( inv(e5) != e0+ | inv(e0) = e5 ),+ inference(unfold_definition,[status(thm)],[c_0_1926,def_lhs_atom229])).++cnf(c_0_1927_0,axiom,+ ( inv(e5) != e1+ | inv(e1) = e5 ),+ inference(unfold_definition,[status(thm)],[c_0_1927,def_lhs_atom228])).++cnf(c_0_1928_0,axiom,+ ( inv(e5) != e2+ | inv(e2) = e5 ),+ inference(unfold_definition,[status(thm)],[c_0_1928,def_lhs_atom227])).++cnf(c_0_1929_0,axiom,+ ( inv(e5) != e3+ | inv(e3) = e5 ),+ inference(unfold_definition,[status(thm)],[c_0_1929,def_lhs_atom226])).++cnf(c_0_1930_0,axiom,+ ( inv(e5) != e4+ | inv(e4) = e5 ),+ inference(unfold_definition,[status(thm)],[c_0_1930,def_lhs_atom225])).++cnf(c_0_1931_0,axiom,+ ( inv(e5) != e5+ | inv(e5) = e5 ),+ inference(unfold_definition,[status(thm)],[c_0_1931,def_lhs_atom224])).++cnf(c_0_1932_0,axiom,+ ( e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_1932,def_lhs_atom474])).++cnf(c_0_1933_0,axiom,+ ( e1 = op(op(e4,e4),e4) ),+ inference(unfold_definition,[status(thm)],[c_0_1933,def_lhs_atom473])).++cnf(c_0_1934_0,axiom,+ ( e2 = op(op(op(e4,e4),e4),e4) ),+ inference(unfold_definition,[status(thm)],[c_0_1934,def_lhs_atom472])).++cnf(c_0_1935_0,axiom,+ ( e3 = op(e4,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_1935,def_lhs_atom471])).++cnf(c_0_1936_0,axiom,+ ( e5 = op(op(op(op(e4,e4),e4),e4),e4) ),+ inference(unfold_definition,[status(thm)],[c_0_1936,def_lhs_atom470])).++cnf(c_0_1937_0,axiom,+ ( e0 != e1 ),+ inference(unfold_definition,[status(thm)],[c_0_1937,def_lhs_atom469])).++cnf(c_0_1938_0,axiom,+ ( e0 != e2 ),+ inference(unfold_definition,[status(thm)],[c_0_1938,def_lhs_atom468])).++cnf(c_0_1939_0,axiom,+ ( e0 != e3 ),+ inference(unfold_definition,[status(thm)],[c_0_1939,def_lhs_atom467])).++cnf(c_0_1940_0,axiom,+ ( e0 != e4 ),+ inference(unfold_definition,[status(thm)],[c_0_1940,def_lhs_atom466])).++cnf(c_0_1941_0,axiom,+ ( e0 != e5 ),+ inference(unfold_definition,[status(thm)],[c_0_1941,def_lhs_atom465])).++cnf(c_0_1942_0,axiom,+ ( e1 != e2 ),+ inference(unfold_definition,[status(thm)],[c_0_1942,def_lhs_atom464])).++cnf(c_0_1943_0,axiom,+ ( e1 != e3 ),+ inference(unfold_definition,[status(thm)],[c_0_1943,def_lhs_atom463])).++cnf(c_0_1944_0,axiom,+ ( e1 != e4 ),+ inference(unfold_definition,[status(thm)],[c_0_1944,def_lhs_atom462])).++cnf(c_0_1945_0,axiom,+ ( e1 != e5 ),+ inference(unfold_definition,[status(thm)],[c_0_1945,def_lhs_atom461])).++cnf(c_0_1946_0,axiom,+ ( e2 != e3 ),+ inference(unfold_definition,[status(thm)],[c_0_1946,def_lhs_atom460])).++cnf(c_0_1947_0,axiom,+ ( e2 != e4 ),+ inference(unfold_definition,[status(thm)],[c_0_1947,def_lhs_atom459])).++cnf(c_0_1948_0,axiom,+ ( e2 != e5 ),+ inference(unfold_definition,[status(thm)],[c_0_1948,def_lhs_atom458])).++cnf(c_0_1949_0,axiom,+ ( e3 != e4 ),+ inference(unfold_definition,[status(thm)],[c_0_1949,def_lhs_atom457])).++cnf(c_0_1950_0,axiom,+ ( e3 != e5 ),+ inference(unfold_definition,[status(thm)],[c_0_1950,def_lhs_atom456])).++cnf(c_0_1951_0,axiom,+ ( e4 != e5 ),+ inference(unfold_definition,[status(thm)],[c_0_1951,def_lhs_atom455])).++cnf(c_0_1952_0,axiom,+ ( op(e0,e0) != op(e1,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1952,def_lhs_atom454])).++cnf(c_0_1953_0,axiom,+ ( op(e0,e0) != op(e2,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1953,def_lhs_atom453])).++cnf(c_0_1954_0,axiom,+ ( op(e0,e0) != op(e3,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1954,def_lhs_atom452])).++cnf(c_0_1955_0,axiom,+ ( op(e0,e0) != op(e4,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1955,def_lhs_atom451])).++cnf(c_0_1956_0,axiom,+ ( op(e0,e0) != op(e5,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1956,def_lhs_atom450])).++cnf(c_0_1957_0,axiom,+ ( op(e1,e0) != op(e2,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1957,def_lhs_atom449])).++cnf(c_0_1958_0,axiom,+ ( op(e1,e0) != op(e3,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1958,def_lhs_atom448])).++cnf(c_0_1959_0,axiom,+ ( op(e1,e0) != op(e4,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1959,def_lhs_atom447])).++cnf(c_0_1960_0,axiom,+ ( op(e1,e0) != op(e5,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1960,def_lhs_atom446])).++cnf(c_0_1961_0,axiom,+ ( op(e2,e0) != op(e3,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1961,def_lhs_atom445])).++cnf(c_0_1962_0,axiom,+ ( op(e2,e0) != op(e4,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1962,def_lhs_atom444])).++cnf(c_0_1963_0,axiom,+ ( op(e2,e0) != op(e5,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1963,def_lhs_atom443])).++cnf(c_0_1964_0,axiom,+ ( op(e3,e0) != op(e4,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1964,def_lhs_atom442])).++cnf(c_0_1965_0,axiom,+ ( op(e3,e0) != op(e5,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1965,def_lhs_atom441])).++cnf(c_0_1966_0,axiom,+ ( op(e4,e0) != op(e5,e0) ),+ inference(unfold_definition,[status(thm)],[c_0_1966,def_lhs_atom440])).++cnf(c_0_1967_0,axiom,+ ( op(e0,e1) != op(e1,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1967,def_lhs_atom439])).++cnf(c_0_1968_0,axiom,+ ( op(e0,e1) != op(e2,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1968,def_lhs_atom438])).++cnf(c_0_1969_0,axiom,+ ( op(e0,e1) != op(e3,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1969,def_lhs_atom437])).++cnf(c_0_1970_0,axiom,+ ( op(e0,e1) != op(e4,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1970,def_lhs_atom436])).++cnf(c_0_1971_0,axiom,+ ( op(e0,e1) != op(e5,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1971,def_lhs_atom435])).++cnf(c_0_1972_0,axiom,+ ( op(e1,e1) != op(e2,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1972,def_lhs_atom434])).++cnf(c_0_1973_0,axiom,+ ( op(e1,e1) != op(e3,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1973,def_lhs_atom433])).++cnf(c_0_1974_0,axiom,+ ( op(e1,e1) != op(e4,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1974,def_lhs_atom432])).++cnf(c_0_1975_0,axiom,+ ( op(e1,e1) != op(e5,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1975,def_lhs_atom431])).++cnf(c_0_1976_0,axiom,+ ( op(e2,e1) != op(e3,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1976,def_lhs_atom430])).++cnf(c_0_1977_0,axiom,+ ( op(e2,e1) != op(e4,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1977,def_lhs_atom429])).++cnf(c_0_1978_0,axiom,+ ( op(e2,e1) != op(e5,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1978,def_lhs_atom428])).++cnf(c_0_1979_0,axiom,+ ( op(e3,e1) != op(e4,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1979,def_lhs_atom427])).++cnf(c_0_1980_0,axiom,+ ( op(e3,e1) != op(e5,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1980,def_lhs_atom426])).++cnf(c_0_1981_0,axiom,+ ( op(e4,e1) != op(e5,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_1981,def_lhs_atom425])).++cnf(c_0_1982_0,axiom,+ ( op(e0,e2) != op(e1,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1982,def_lhs_atom424])).++cnf(c_0_1983_0,axiom,+ ( op(e0,e2) != op(e2,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1983,def_lhs_atom423])).++cnf(c_0_1984_0,axiom,+ ( op(e0,e2) != op(e3,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1984,def_lhs_atom422])).++cnf(c_0_1985_0,axiom,+ ( op(e0,e2) != op(e4,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1985,def_lhs_atom421])).++cnf(c_0_1986_0,axiom,+ ( op(e0,e2) != op(e5,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1986,def_lhs_atom420])).++cnf(c_0_1987_0,axiom,+ ( op(e1,e2) != op(e2,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1987,def_lhs_atom419])).++cnf(c_0_1988_0,axiom,+ ( op(e1,e2) != op(e3,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1988,def_lhs_atom418])).++cnf(c_0_1989_0,axiom,+ ( op(e1,e2) != op(e4,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1989,def_lhs_atom417])).++cnf(c_0_1990_0,axiom,+ ( op(e1,e2) != op(e5,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1990,def_lhs_atom416])).++cnf(c_0_1991_0,axiom,+ ( op(e2,e2) != op(e3,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1991,def_lhs_atom415])).++cnf(c_0_1992_0,axiom,+ ( op(e2,e2) != op(e4,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1992,def_lhs_atom414])).++cnf(c_0_1993_0,axiom,+ ( op(e2,e2) != op(e5,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1993,def_lhs_atom413])).++cnf(c_0_1994_0,axiom,+ ( op(e3,e2) != op(e4,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1994,def_lhs_atom412])).++cnf(c_0_1995_0,axiom,+ ( op(e3,e2) != op(e5,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1995,def_lhs_atom411])).++cnf(c_0_1996_0,axiom,+ ( op(e4,e2) != op(e5,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_1996,def_lhs_atom410])).++cnf(c_0_1997_0,axiom,+ ( op(e0,e3) != op(e1,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_1997,def_lhs_atom409])).++cnf(c_0_1998_0,axiom,+ ( op(e0,e3) != op(e2,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_1998,def_lhs_atom408])).++cnf(c_0_1999_0,axiom,+ ( op(e0,e3) != op(e3,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_1999,def_lhs_atom407])).++cnf(c_0_2000_0,axiom,+ ( op(e0,e3) != op(e4,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2000,def_lhs_atom406])).++cnf(c_0_2001_0,axiom,+ ( op(e0,e3) != op(e5,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2001,def_lhs_atom405])).++cnf(c_0_2002_0,axiom,+ ( op(e1,e3) != op(e2,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2002,def_lhs_atom404])).++cnf(c_0_2003_0,axiom,+ ( op(e1,e3) != op(e3,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2003,def_lhs_atom403])).++cnf(c_0_2004_0,axiom,+ ( op(e1,e3) != op(e4,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2004,def_lhs_atom402])).++cnf(c_0_2005_0,axiom,+ ( op(e1,e3) != op(e5,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2005,def_lhs_atom401])).++cnf(c_0_2006_0,axiom,+ ( op(e2,e3) != op(e3,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2006,def_lhs_atom400])).++cnf(c_0_2007_0,axiom,+ ( op(e2,e3) != op(e4,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2007,def_lhs_atom399])).++cnf(c_0_2008_0,axiom,+ ( op(e2,e3) != op(e5,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2008,def_lhs_atom398])).++cnf(c_0_2009_0,axiom,+ ( op(e3,e3) != op(e4,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2009,def_lhs_atom397])).++cnf(c_0_2010_0,axiom,+ ( op(e3,e3) != op(e5,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2010,def_lhs_atom396])).++cnf(c_0_2011_0,axiom,+ ( op(e4,e3) != op(e5,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2011,def_lhs_atom395])).++cnf(c_0_2012_0,axiom,+ ( op(e0,e4) != op(e1,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2012,def_lhs_atom394])).++cnf(c_0_2013_0,axiom,+ ( op(e0,e4) != op(e2,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2013,def_lhs_atom393])).++cnf(c_0_2014_0,axiom,+ ( op(e0,e4) != op(e3,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2014,def_lhs_atom392])).++cnf(c_0_2015_0,axiom,+ ( op(e0,e4) != op(e4,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2015,def_lhs_atom391])).++cnf(c_0_2016_0,axiom,+ ( op(e0,e4) != op(e5,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2016,def_lhs_atom390])).++cnf(c_0_2017_0,axiom,+ ( op(e1,e4) != op(e2,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2017,def_lhs_atom389])).++cnf(c_0_2018_0,axiom,+ ( op(e1,e4) != op(e3,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2018,def_lhs_atom388])).++cnf(c_0_2019_0,axiom,+ ( op(e1,e4) != op(e4,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2019,def_lhs_atom387])).++cnf(c_0_2020_0,axiom,+ ( op(e1,e4) != op(e5,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2020,def_lhs_atom386])).++cnf(c_0_2021_0,axiom,+ ( op(e2,e4) != op(e3,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2021,def_lhs_atom385])).++cnf(c_0_2022_0,axiom,+ ( op(e2,e4) != op(e4,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2022,def_lhs_atom384])).++cnf(c_0_2023_0,axiom,+ ( op(e2,e4) != op(e5,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2023,def_lhs_atom383])).++cnf(c_0_2024_0,axiom,+ ( op(e3,e4) != op(e4,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2024,def_lhs_atom382])).++cnf(c_0_2025_0,axiom,+ ( op(e3,e4) != op(e5,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2025,def_lhs_atom381])).++cnf(c_0_2026_0,axiom,+ ( op(e4,e4) != op(e5,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2026,def_lhs_atom380])).++cnf(c_0_2027_0,axiom,+ ( op(e0,e5) != op(e1,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2027,def_lhs_atom379])).++cnf(c_0_2028_0,axiom,+ ( op(e0,e5) != op(e2,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2028,def_lhs_atom378])).++cnf(c_0_2029_0,axiom,+ ( op(e0,e5) != op(e3,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2029,def_lhs_atom377])).++cnf(c_0_2030_0,axiom,+ ( op(e0,e5) != op(e4,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2030,def_lhs_atom376])).++cnf(c_0_2031_0,axiom,+ ( op(e0,e5) != op(e5,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2031,def_lhs_atom375])).++cnf(c_0_2032_0,axiom,+ ( op(e1,e5) != op(e2,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2032,def_lhs_atom374])).++cnf(c_0_2033_0,axiom,+ ( op(e1,e5) != op(e3,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2033,def_lhs_atom373])).++cnf(c_0_2034_0,axiom,+ ( op(e1,e5) != op(e4,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2034,def_lhs_atom372])).++cnf(c_0_2035_0,axiom,+ ( op(e1,e5) != op(e5,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2035,def_lhs_atom371])).++cnf(c_0_2036_0,axiom,+ ( op(e2,e5) != op(e3,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2036,def_lhs_atom370])).++cnf(c_0_2037_0,axiom,+ ( op(e2,e5) != op(e4,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2037,def_lhs_atom369])).++cnf(c_0_2038_0,axiom,+ ( op(e2,e5) != op(e5,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2038,def_lhs_atom368])).++cnf(c_0_2039_0,axiom,+ ( op(e3,e5) != op(e4,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2039,def_lhs_atom367])).++cnf(c_0_2040_0,axiom,+ ( op(e3,e5) != op(e5,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2040,def_lhs_atom366])).++cnf(c_0_2041_0,axiom,+ ( op(e4,e5) != op(e5,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2041,def_lhs_atom365])).++cnf(c_0_2042_0,axiom,+ ( op(e0,e0) != op(e0,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_2042,def_lhs_atom364])).++cnf(c_0_2043_0,axiom,+ ( op(e0,e0) != op(e0,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2043,def_lhs_atom363])).++cnf(c_0_2044_0,axiom,+ ( op(e0,e0) != op(e0,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2044,def_lhs_atom362])).++cnf(c_0_2045_0,axiom,+ ( op(e0,e0) != op(e0,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2045,def_lhs_atom361])).++cnf(c_0_2046_0,axiom,+ ( op(e0,e0) != op(e0,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2046,def_lhs_atom360])).++cnf(c_0_2047_0,axiom,+ ( op(e0,e1) != op(e0,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2047,def_lhs_atom359])).++cnf(c_0_2048_0,axiom,+ ( op(e0,e1) != op(e0,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2048,def_lhs_atom358])).++cnf(c_0_2049_0,axiom,+ ( op(e0,e1) != op(e0,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2049,def_lhs_atom357])).++cnf(c_0_2050_0,axiom,+ ( op(e0,e1) != op(e0,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2050,def_lhs_atom356])).++cnf(c_0_2051_0,axiom,+ ( op(e0,e2) != op(e0,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2051,def_lhs_atom355])).++cnf(c_0_2052_0,axiom,+ ( op(e0,e2) != op(e0,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2052,def_lhs_atom354])).++cnf(c_0_2053_0,axiom,+ ( op(e0,e2) != op(e0,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2053,def_lhs_atom353])).++cnf(c_0_2054_0,axiom,+ ( op(e0,e3) != op(e0,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2054,def_lhs_atom352])).++cnf(c_0_2055_0,axiom,+ ( op(e0,e3) != op(e0,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2055,def_lhs_atom351])).++cnf(c_0_2056_0,axiom,+ ( op(e0,e4) != op(e0,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2056,def_lhs_atom350])).++cnf(c_0_2057_0,axiom,+ ( op(e1,e0) != op(e1,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_2057,def_lhs_atom349])).++cnf(c_0_2058_0,axiom,+ ( op(e1,e0) != op(e1,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2058,def_lhs_atom348])).++cnf(c_0_2059_0,axiom,+ ( op(e1,e0) != op(e1,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2059,def_lhs_atom347])).++cnf(c_0_2060_0,axiom,+ ( op(e1,e0) != op(e1,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2060,def_lhs_atom346])).++cnf(c_0_2061_0,axiom,+ ( op(e1,e0) != op(e1,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2061,def_lhs_atom345])).++cnf(c_0_2062_0,axiom,+ ( op(e1,e1) != op(e1,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2062,def_lhs_atom344])).++cnf(c_0_2063_0,axiom,+ ( op(e1,e1) != op(e1,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2063,def_lhs_atom343])).++cnf(c_0_2064_0,axiom,+ ( op(e1,e1) != op(e1,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2064,def_lhs_atom342])).++cnf(c_0_2065_0,axiom,+ ( op(e1,e1) != op(e1,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2065,def_lhs_atom341])).++cnf(c_0_2066_0,axiom,+ ( op(e1,e2) != op(e1,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2066,def_lhs_atom340])).++cnf(c_0_2067_0,axiom,+ ( op(e1,e2) != op(e1,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2067,def_lhs_atom339])).++cnf(c_0_2068_0,axiom,+ ( op(e1,e2) != op(e1,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2068,def_lhs_atom338])).++cnf(c_0_2069_0,axiom,+ ( op(e1,e3) != op(e1,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2069,def_lhs_atom337])).++cnf(c_0_2070_0,axiom,+ ( op(e1,e3) != op(e1,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2070,def_lhs_atom336])).++cnf(c_0_2071_0,axiom,+ ( op(e1,e4) != op(e1,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2071,def_lhs_atom335])).++cnf(c_0_2072_0,axiom,+ ( op(e2,e0) != op(e2,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_2072,def_lhs_atom334])).++cnf(c_0_2073_0,axiom,+ ( op(e2,e0) != op(e2,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2073,def_lhs_atom333])).++cnf(c_0_2074_0,axiom,+ ( op(e2,e0) != op(e2,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2074,def_lhs_atom332])).++cnf(c_0_2075_0,axiom,+ ( op(e2,e0) != op(e2,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2075,def_lhs_atom331])).++cnf(c_0_2076_0,axiom,+ ( op(e2,e0) != op(e2,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2076,def_lhs_atom330])).++cnf(c_0_2077_0,axiom,+ ( op(e2,e1) != op(e2,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2077,def_lhs_atom329])).++cnf(c_0_2078_0,axiom,+ ( op(e2,e1) != op(e2,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2078,def_lhs_atom328])).++cnf(c_0_2079_0,axiom,+ ( op(e2,e1) != op(e2,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2079,def_lhs_atom327])).++cnf(c_0_2080_0,axiom,+ ( op(e2,e1) != op(e2,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2080,def_lhs_atom326])).++cnf(c_0_2081_0,axiom,+ ( op(e2,e2) != op(e2,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2081,def_lhs_atom325])).++cnf(c_0_2082_0,axiom,+ ( op(e2,e2) != op(e2,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2082,def_lhs_atom324])).++cnf(c_0_2083_0,axiom,+ ( op(e2,e2) != op(e2,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2083,def_lhs_atom323])).++cnf(c_0_2084_0,axiom,+ ( op(e2,e3) != op(e2,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2084,def_lhs_atom322])).++cnf(c_0_2085_0,axiom,+ ( op(e2,e3) != op(e2,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2085,def_lhs_atom321])).++cnf(c_0_2086_0,axiom,+ ( op(e2,e4) != op(e2,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2086,def_lhs_atom320])).++cnf(c_0_2087_0,axiom,+ ( op(e3,e0) != op(e3,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_2087,def_lhs_atom319])).++cnf(c_0_2088_0,axiom,+ ( op(e3,e0) != op(e3,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2088,def_lhs_atom318])).++cnf(c_0_2089_0,axiom,+ ( op(e3,e0) != op(e3,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2089,def_lhs_atom317])).++cnf(c_0_2090_0,axiom,+ ( op(e3,e0) != op(e3,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2090,def_lhs_atom316])).++cnf(c_0_2091_0,axiom,+ ( op(e3,e0) != op(e3,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2091,def_lhs_atom315])).++cnf(c_0_2092_0,axiom,+ ( op(e3,e1) != op(e3,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2092,def_lhs_atom314])).++cnf(c_0_2093_0,axiom,+ ( op(e3,e1) != op(e3,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2093,def_lhs_atom313])).++cnf(c_0_2094_0,axiom,+ ( op(e3,e1) != op(e3,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2094,def_lhs_atom312])).++cnf(c_0_2095_0,axiom,+ ( op(e3,e1) != op(e3,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2095,def_lhs_atom311])).++cnf(c_0_2096_0,axiom,+ ( op(e3,e2) != op(e3,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2096,def_lhs_atom310])).++cnf(c_0_2097_0,axiom,+ ( op(e3,e2) != op(e3,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2097,def_lhs_atom309])).++cnf(c_0_2098_0,axiom,+ ( op(e3,e2) != op(e3,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2098,def_lhs_atom308])).++cnf(c_0_2099_0,axiom,+ ( op(e3,e3) != op(e3,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2099,def_lhs_atom307])).++cnf(c_0_2100_0,axiom,+ ( op(e3,e3) != op(e3,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2100,def_lhs_atom306])).++cnf(c_0_2101_0,axiom,+ ( op(e3,e4) != op(e3,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2101,def_lhs_atom305])).++cnf(c_0_2102_0,axiom,+ ( op(e4,e0) != op(e4,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_2102,def_lhs_atom304])).++cnf(c_0_2103_0,axiom,+ ( op(e4,e0) != op(e4,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2103,def_lhs_atom303])).++cnf(c_0_2104_0,axiom,+ ( op(e4,e0) != op(e4,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2104,def_lhs_atom302])).++cnf(c_0_2105_0,axiom,+ ( op(e4,e0) != op(e4,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2105,def_lhs_atom301])).++cnf(c_0_2106_0,axiom,+ ( op(e4,e0) != op(e4,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2106,def_lhs_atom300])).++cnf(c_0_2107_0,axiom,+ ( op(e4,e1) != op(e4,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2107,def_lhs_atom299])).++cnf(c_0_2108_0,axiom,+ ( op(e4,e1) != op(e4,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2108,def_lhs_atom298])).++cnf(c_0_2109_0,axiom,+ ( op(e4,e1) != op(e4,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2109,def_lhs_atom297])).++cnf(c_0_2110_0,axiom,+ ( op(e4,e1) != op(e4,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2110,def_lhs_atom296])).++cnf(c_0_2111_0,axiom,+ ( op(e4,e2) != op(e4,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2111,def_lhs_atom295])).++cnf(c_0_2112_0,axiom,+ ( op(e4,e2) != op(e4,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2112,def_lhs_atom294])).++cnf(c_0_2113_0,axiom,+ ( op(e4,e2) != op(e4,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2113,def_lhs_atom293])).++cnf(c_0_2114_0,axiom,+ ( op(e4,e3) != op(e4,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2114,def_lhs_atom292])).++cnf(c_0_2115_0,axiom,+ ( op(e4,e3) != op(e4,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2115,def_lhs_atom291])).++cnf(c_0_2116_0,axiom,+ ( op(e4,e4) != op(e4,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2116,def_lhs_atom290])).++cnf(c_0_2117_0,axiom,+ ( op(e5,e0) != op(e5,e1) ),+ inference(unfold_definition,[status(thm)],[c_0_2117,def_lhs_atom289])).++cnf(c_0_2118_0,axiom,+ ( op(e5,e0) != op(e5,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2118,def_lhs_atom288])).++cnf(c_0_2119_0,axiom,+ ( op(e5,e0) != op(e5,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2119,def_lhs_atom287])).++cnf(c_0_2120_0,axiom,+ ( op(e5,e0) != op(e5,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2120,def_lhs_atom286])).++cnf(c_0_2121_0,axiom,+ ( op(e5,e0) != op(e5,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2121,def_lhs_atom285])).++cnf(c_0_2122_0,axiom,+ ( op(e5,e1) != op(e5,e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2122,def_lhs_atom284])).++cnf(c_0_2123_0,axiom,+ ( op(e5,e1) != op(e5,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2123,def_lhs_atom283])).++cnf(c_0_2124_0,axiom,+ ( op(e5,e1) != op(e5,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2124,def_lhs_atom282])).++cnf(c_0_2125_0,axiom,+ ( op(e5,e1) != op(e5,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2125,def_lhs_atom281])).++cnf(c_0_2126_0,axiom,+ ( op(e5,e2) != op(e5,e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2126,def_lhs_atom280])).++cnf(c_0_2127_0,axiom,+ ( op(e5,e2) != op(e5,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2127,def_lhs_atom279])).++cnf(c_0_2128_0,axiom,+ ( op(e5,e2) != op(e5,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2128,def_lhs_atom278])).++cnf(c_0_2129_0,axiom,+ ( op(e5,e3) != op(e5,e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2129,def_lhs_atom277])).++cnf(c_0_2130_0,axiom,+ ( op(e5,e3) != op(e5,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2130,def_lhs_atom276])).++cnf(c_0_2131_0,axiom,+ ( op(e5,e4) != op(e5,e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2131,def_lhs_atom275])).++cnf(c_0_2132_0,axiom,+ ( inv(e0) != inv(e1) ),+ inference(unfold_definition,[status(thm)],[c_0_2132,def_lhs_atom274])).++cnf(c_0_2133_0,axiom,+ ( inv(e0) != inv(e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2133,def_lhs_atom273])).++cnf(c_0_2134_0,axiom,+ ( inv(e0) != inv(e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2134,def_lhs_atom272])).++cnf(c_0_2135_0,axiom,+ ( inv(e0) != inv(e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2135,def_lhs_atom271])).++cnf(c_0_2136_0,axiom,+ ( inv(e0) != inv(e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2136,def_lhs_atom270])).++cnf(c_0_2137_0,axiom,+ ( inv(e1) != inv(e2) ),+ inference(unfold_definition,[status(thm)],[c_0_2137,def_lhs_atom269])).++cnf(c_0_2138_0,axiom,+ ( inv(e1) != inv(e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2138,def_lhs_atom268])).++cnf(c_0_2139_0,axiom,+ ( inv(e1) != inv(e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2139,def_lhs_atom267])).++cnf(c_0_2140_0,axiom,+ ( inv(e1) != inv(e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2140,def_lhs_atom266])).++cnf(c_0_2141_0,axiom,+ ( inv(e2) != inv(e3) ),+ inference(unfold_definition,[status(thm)],[c_0_2141,def_lhs_atom265])).++cnf(c_0_2142_0,axiom,+ ( inv(e2) != inv(e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2142,def_lhs_atom264])).++cnf(c_0_2143_0,axiom,+ ( inv(e2) != inv(e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2143,def_lhs_atom263])).++cnf(c_0_2144_0,axiom,+ ( inv(e3) != inv(e4) ),+ inference(unfold_definition,[status(thm)],[c_0_2144,def_lhs_atom262])).++cnf(c_0_2145_0,axiom,+ ( inv(e3) != inv(e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2145,def_lhs_atom261])).++cnf(c_0_2146_0,axiom,+ ( inv(e4) != inv(e5) ),+ inference(unfold_definition,[status(thm)],[c_0_2146,def_lhs_atom260])).++cnf(c_0_2147_0,axiom,+ ( inv(inv(e0)) = e0 ),+ inference(unfold_definition,[status(thm)],[c_0_2147,def_lhs_atom223])).++cnf(c_0_2148_0,axiom,+ ( inv(inv(e1)) = e1 ),+ inference(unfold_definition,[status(thm)],[c_0_2148,def_lhs_atom222])).++cnf(c_0_2149_0,axiom,+ ( inv(inv(e2)) = e2 ),+ inference(unfold_definition,[status(thm)],[c_0_2149,def_lhs_atom221])).++cnf(c_0_2150_0,axiom,+ ( inv(inv(e3)) = e3 ),+ inference(unfold_definition,[status(thm)],[c_0_2150,def_lhs_atom220])).++cnf(c_0_2151_0,axiom,+ ( inv(inv(e4)) = e4 ),+ inference(unfold_definition,[status(thm)],[c_0_2151,def_lhs_atom219])).++cnf(c_0_2152_0,axiom,+ ( inv(inv(e5)) = e5 ),+ inference(unfold_definition,[status(thm)],[c_0_2152,def_lhs_atom218])).++cnf(c_0_2153_0,axiom,+ ( inv(unit) = unit ),+ inference(unfold_definition,[status(thm)],[c_0_2153,def_lhs_atom217])).++cnf(c_0_2154_0,axiom,+ ( op(op(e0,e0),e0) = op(e0,op(e0,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2154,def_lhs_atom216])).++cnf(c_0_2155_0,axiom,+ ( op(op(e0,e0),e1) = op(e0,op(e0,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2155,def_lhs_atom215])).++cnf(c_0_2156_0,axiom,+ ( op(op(e0,e0),e2) = op(e0,op(e0,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2156,def_lhs_atom214])).++cnf(c_0_2157_0,axiom,+ ( op(op(e0,e0),e3) = op(e0,op(e0,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2157,def_lhs_atom213])).++cnf(c_0_2158_0,axiom,+ ( op(op(e0,e0),e4) = op(e0,op(e0,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2158,def_lhs_atom212])).++cnf(c_0_2159_0,axiom,+ ( op(op(e0,e0),e5) = op(e0,op(e0,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2159,def_lhs_atom211])).++cnf(c_0_2160_0,axiom,+ ( op(op(e0,e1),e0) = op(e0,op(e1,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2160,def_lhs_atom210])).++cnf(c_0_2161_0,axiom,+ ( op(op(e0,e1),e1) = op(e0,op(e1,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2161,def_lhs_atom209])).++cnf(c_0_2162_0,axiom,+ ( op(op(e0,e1),e2) = op(e0,op(e1,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2162,def_lhs_atom208])).++cnf(c_0_2163_0,axiom,+ ( op(op(e0,e1),e3) = op(e0,op(e1,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2163,def_lhs_atom207])).++cnf(c_0_2164_0,axiom,+ ( op(op(e0,e1),e4) = op(e0,op(e1,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2164,def_lhs_atom206])).++cnf(c_0_2165_0,axiom,+ ( op(op(e0,e1),e5) = op(e0,op(e1,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2165,def_lhs_atom205])).++cnf(c_0_2166_0,axiom,+ ( op(op(e0,e2),e0) = op(e0,op(e2,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2166,def_lhs_atom204])).++cnf(c_0_2167_0,axiom,+ ( op(op(e0,e2),e1) = op(e0,op(e2,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2167,def_lhs_atom203])).++cnf(c_0_2168_0,axiom,+ ( op(op(e0,e2),e2) = op(e0,op(e2,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2168,def_lhs_atom202])).++cnf(c_0_2169_0,axiom,+ ( op(op(e0,e2),e3) = op(e0,op(e2,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2169,def_lhs_atom201])).++cnf(c_0_2170_0,axiom,+ ( op(op(e0,e2),e4) = op(e0,op(e2,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2170,def_lhs_atom200])).++cnf(c_0_2171_0,axiom,+ ( op(op(e0,e2),e5) = op(e0,op(e2,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2171,def_lhs_atom199])).++cnf(c_0_2172_0,axiom,+ ( op(op(e0,e3),e0) = op(e0,op(e3,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2172,def_lhs_atom198])).++cnf(c_0_2173_0,axiom,+ ( op(op(e0,e3),e1) = op(e0,op(e3,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2173,def_lhs_atom197])).++cnf(c_0_2174_0,axiom,+ ( op(op(e0,e3),e2) = op(e0,op(e3,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2174,def_lhs_atom196])).++cnf(c_0_2175_0,axiom,+ ( op(op(e0,e3),e3) = op(e0,op(e3,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2175,def_lhs_atom195])).++cnf(c_0_2176_0,axiom,+ ( op(op(e0,e3),e4) = op(e0,op(e3,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2176,def_lhs_atom194])).++cnf(c_0_2177_0,axiom,+ ( op(op(e0,e3),e5) = op(e0,op(e3,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2177,def_lhs_atom193])).++cnf(c_0_2178_0,axiom,+ ( op(op(e0,e4),e0) = op(e0,op(e4,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2178,def_lhs_atom192])).++cnf(c_0_2179_0,axiom,+ ( op(op(e0,e4),e1) = op(e0,op(e4,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2179,def_lhs_atom191])).++cnf(c_0_2180_0,axiom,+ ( op(op(e0,e4),e2) = op(e0,op(e4,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2180,def_lhs_atom190])).++cnf(c_0_2181_0,axiom,+ ( op(op(e0,e4),e3) = op(e0,op(e4,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2181,def_lhs_atom189])).++cnf(c_0_2182_0,axiom,+ ( op(op(e0,e4),e4) = op(e0,op(e4,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2182,def_lhs_atom188])).++cnf(c_0_2183_0,axiom,+ ( op(op(e0,e4),e5) = op(e0,op(e4,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2183,def_lhs_atom187])).++cnf(c_0_2184_0,axiom,+ ( op(op(e0,e5),e0) = op(e0,op(e5,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2184,def_lhs_atom186])).++cnf(c_0_2185_0,axiom,+ ( op(op(e0,e5),e1) = op(e0,op(e5,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2185,def_lhs_atom185])).++cnf(c_0_2186_0,axiom,+ ( op(op(e0,e5),e2) = op(e0,op(e5,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2186,def_lhs_atom184])).++cnf(c_0_2187_0,axiom,+ ( op(op(e0,e5),e3) = op(e0,op(e5,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2187,def_lhs_atom183])).++cnf(c_0_2188_0,axiom,+ ( op(op(e0,e5),e4) = op(e0,op(e5,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2188,def_lhs_atom182])).++cnf(c_0_2189_0,axiom,+ ( op(op(e0,e5),e5) = op(e0,op(e5,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2189,def_lhs_atom181])).++cnf(c_0_2190_0,axiom,+ ( op(op(e1,e0),e0) = op(e1,op(e0,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2190,def_lhs_atom180])).++cnf(c_0_2191_0,axiom,+ ( op(op(e1,e0),e1) = op(e1,op(e0,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2191,def_lhs_atom179])).++cnf(c_0_2192_0,axiom,+ ( op(op(e1,e0),e2) = op(e1,op(e0,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2192,def_lhs_atom178])).++cnf(c_0_2193_0,axiom,+ ( op(op(e1,e0),e3) = op(e1,op(e0,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2193,def_lhs_atom177])).++cnf(c_0_2194_0,axiom,+ ( op(op(e1,e0),e4) = op(e1,op(e0,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2194,def_lhs_atom176])).++cnf(c_0_2195_0,axiom,+ ( op(op(e1,e0),e5) = op(e1,op(e0,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2195,def_lhs_atom175])).++cnf(c_0_2196_0,axiom,+ ( op(op(e1,e1),e0) = op(e1,op(e1,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2196,def_lhs_atom174])).++cnf(c_0_2197_0,axiom,+ ( op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2197,def_lhs_atom173])).++cnf(c_0_2198_0,axiom,+ ( op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2198,def_lhs_atom172])).++cnf(c_0_2199_0,axiom,+ ( op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2199,def_lhs_atom171])).++cnf(c_0_2200_0,axiom,+ ( op(op(e1,e1),e4) = op(e1,op(e1,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2200,def_lhs_atom170])).++cnf(c_0_2201_0,axiom,+ ( op(op(e1,e1),e5) = op(e1,op(e1,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2201,def_lhs_atom169])).++cnf(c_0_2202_0,axiom,+ ( op(op(e1,e2),e0) = op(e1,op(e2,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2202,def_lhs_atom168])).++cnf(c_0_2203_0,axiom,+ ( op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2203,def_lhs_atom167])).++cnf(c_0_2204_0,axiom,+ ( op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2204,def_lhs_atom166])).++cnf(c_0_2205_0,axiom,+ ( op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2205,def_lhs_atom165])).++cnf(c_0_2206_0,axiom,+ ( op(op(e1,e2),e4) = op(e1,op(e2,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2206,def_lhs_atom164])).++cnf(c_0_2207_0,axiom,+ ( op(op(e1,e2),e5) = op(e1,op(e2,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2207,def_lhs_atom163])).++cnf(c_0_2208_0,axiom,+ ( op(op(e1,e3),e0) = op(e1,op(e3,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2208,def_lhs_atom162])).++cnf(c_0_2209_0,axiom,+ ( op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2209,def_lhs_atom161])).++cnf(c_0_2210_0,axiom,+ ( op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2210,def_lhs_atom160])).++cnf(c_0_2211_0,axiom,+ ( op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2211,def_lhs_atom159])).++cnf(c_0_2212_0,axiom,+ ( op(op(e1,e3),e4) = op(e1,op(e3,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2212,def_lhs_atom158])).++cnf(c_0_2213_0,axiom,+ ( op(op(e1,e3),e5) = op(e1,op(e3,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2213,def_lhs_atom157])).++cnf(c_0_2214_0,axiom,+ ( op(op(e1,e4),e0) = op(e1,op(e4,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2214,def_lhs_atom156])).++cnf(c_0_2215_0,axiom,+ ( op(op(e1,e4),e1) = op(e1,op(e4,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2215,def_lhs_atom155])).++cnf(c_0_2216_0,axiom,+ ( op(op(e1,e4),e2) = op(e1,op(e4,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2216,def_lhs_atom154])).++cnf(c_0_2217_0,axiom,+ ( op(op(e1,e4),e3) = op(e1,op(e4,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2217,def_lhs_atom153])).++cnf(c_0_2218_0,axiom,+ ( op(op(e1,e4),e4) = op(e1,op(e4,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2218,def_lhs_atom152])).++cnf(c_0_2219_0,axiom,+ ( op(op(e1,e4),e5) = op(e1,op(e4,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2219,def_lhs_atom151])).++cnf(c_0_2220_0,axiom,+ ( op(op(e1,e5),e0) = op(e1,op(e5,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2220,def_lhs_atom150])).++cnf(c_0_2221_0,axiom,+ ( op(op(e1,e5),e1) = op(e1,op(e5,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2221,def_lhs_atom149])).++cnf(c_0_2222_0,axiom,+ ( op(op(e1,e5),e2) = op(e1,op(e5,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2222,def_lhs_atom148])).++cnf(c_0_2223_0,axiom,+ ( op(op(e1,e5),e3) = op(e1,op(e5,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2223,def_lhs_atom147])).++cnf(c_0_2224_0,axiom,+ ( op(op(e1,e5),e4) = op(e1,op(e5,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2224,def_lhs_atom146])).++cnf(c_0_2225_0,axiom,+ ( op(op(e1,e5),e5) = op(e1,op(e5,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2225,def_lhs_atom145])).++cnf(c_0_2226_0,axiom,+ ( op(op(e2,e0),e0) = op(e2,op(e0,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2226,def_lhs_atom144])).++cnf(c_0_2227_0,axiom,+ ( op(op(e2,e0),e1) = op(e2,op(e0,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2227,def_lhs_atom143])).++cnf(c_0_2228_0,axiom,+ ( op(op(e2,e0),e2) = op(e2,op(e0,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2228,def_lhs_atom142])).++cnf(c_0_2229_0,axiom,+ ( op(op(e2,e0),e3) = op(e2,op(e0,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2229,def_lhs_atom141])).++cnf(c_0_2230_0,axiom,+ ( op(op(e2,e0),e4) = op(e2,op(e0,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2230,def_lhs_atom140])).++cnf(c_0_2231_0,axiom,+ ( op(op(e2,e0),e5) = op(e2,op(e0,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2231,def_lhs_atom139])).++cnf(c_0_2232_0,axiom,+ ( op(op(e2,e1),e0) = op(e2,op(e1,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2232,def_lhs_atom138])).++cnf(c_0_2233_0,axiom,+ ( op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2233,def_lhs_atom137])).++cnf(c_0_2234_0,axiom,+ ( op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2234,def_lhs_atom136])).++cnf(c_0_2235_0,axiom,+ ( op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2235,def_lhs_atom135])).++cnf(c_0_2236_0,axiom,+ ( op(op(e2,e1),e4) = op(e2,op(e1,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2236,def_lhs_atom134])).++cnf(c_0_2237_0,axiom,+ ( op(op(e2,e1),e5) = op(e2,op(e1,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2237,def_lhs_atom133])).++cnf(c_0_2238_0,axiom,+ ( op(op(e2,e2),e0) = op(e2,op(e2,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2238,def_lhs_atom132])).++cnf(c_0_2239_0,axiom,+ ( op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2239,def_lhs_atom131])).++cnf(c_0_2240_0,axiom,+ ( op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2240,def_lhs_atom130])).++cnf(c_0_2241_0,axiom,+ ( op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2241,def_lhs_atom129])).++cnf(c_0_2242_0,axiom,+ ( op(op(e2,e2),e4) = op(e2,op(e2,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2242,def_lhs_atom128])).++cnf(c_0_2243_0,axiom,+ ( op(op(e2,e2),e5) = op(e2,op(e2,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2243,def_lhs_atom127])).++cnf(c_0_2244_0,axiom,+ ( op(op(e2,e3),e0) = op(e2,op(e3,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2244,def_lhs_atom126])).++cnf(c_0_2245_0,axiom,+ ( op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2245,def_lhs_atom125])).++cnf(c_0_2246_0,axiom,+ ( op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2246,def_lhs_atom124])).++cnf(c_0_2247_0,axiom,+ ( op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2247,def_lhs_atom123])).++cnf(c_0_2248_0,axiom,+ ( op(op(e2,e3),e4) = op(e2,op(e3,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2248,def_lhs_atom122])).++cnf(c_0_2249_0,axiom,+ ( op(op(e2,e3),e5) = op(e2,op(e3,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2249,def_lhs_atom121])).++cnf(c_0_2250_0,axiom,+ ( op(op(e2,e4),e0) = op(e2,op(e4,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2250,def_lhs_atom120])).++cnf(c_0_2251_0,axiom,+ ( op(op(e2,e4),e1) = op(e2,op(e4,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2251,def_lhs_atom119])).++cnf(c_0_2252_0,axiom,+ ( op(op(e2,e4),e2) = op(e2,op(e4,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2252,def_lhs_atom118])).++cnf(c_0_2253_0,axiom,+ ( op(op(e2,e4),e3) = op(e2,op(e4,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2253,def_lhs_atom117])).++cnf(c_0_2254_0,axiom,+ ( op(op(e2,e4),e4) = op(e2,op(e4,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2254,def_lhs_atom116])).++cnf(c_0_2255_0,axiom,+ ( op(op(e2,e4),e5) = op(e2,op(e4,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2255,def_lhs_atom115])).++cnf(c_0_2256_0,axiom,+ ( op(op(e2,e5),e0) = op(e2,op(e5,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2256,def_lhs_atom114])).++cnf(c_0_2257_0,axiom,+ ( op(op(e2,e5),e1) = op(e2,op(e5,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2257,def_lhs_atom113])).++cnf(c_0_2258_0,axiom,+ ( op(op(e2,e5),e2) = op(e2,op(e5,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2258,def_lhs_atom112])).++cnf(c_0_2259_0,axiom,+ ( op(op(e2,e5),e3) = op(e2,op(e5,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2259,def_lhs_atom111])).++cnf(c_0_2260_0,axiom,+ ( op(op(e2,e5),e4) = op(e2,op(e5,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2260,def_lhs_atom110])).++cnf(c_0_2261_0,axiom,+ ( op(op(e2,e5),e5) = op(e2,op(e5,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2261,def_lhs_atom109])).++cnf(c_0_2262_0,axiom,+ ( op(op(e3,e0),e0) = op(e3,op(e0,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2262,def_lhs_atom108])).++cnf(c_0_2263_0,axiom,+ ( op(op(e3,e0),e1) = op(e3,op(e0,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2263,def_lhs_atom107])).++cnf(c_0_2264_0,axiom,+ ( op(op(e3,e0),e2) = op(e3,op(e0,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2264,def_lhs_atom106])).++cnf(c_0_2265_0,axiom,+ ( op(op(e3,e0),e3) = op(e3,op(e0,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2265,def_lhs_atom105])).++cnf(c_0_2266_0,axiom,+ ( op(op(e3,e0),e4) = op(e3,op(e0,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2266,def_lhs_atom104])).++cnf(c_0_2267_0,axiom,+ ( op(op(e3,e0),e5) = op(e3,op(e0,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2267,def_lhs_atom103])).++cnf(c_0_2268_0,axiom,+ ( op(op(e3,e1),e0) = op(e3,op(e1,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2268,def_lhs_atom102])).++cnf(c_0_2269_0,axiom,+ ( op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2269,def_lhs_atom101])).++cnf(c_0_2270_0,axiom,+ ( op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2270,def_lhs_atom100])).++cnf(c_0_2271_0,axiom,+ ( op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2271,def_lhs_atom99])).++cnf(c_0_2272_0,axiom,+ ( op(op(e3,e1),e4) = op(e3,op(e1,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2272,def_lhs_atom98])).++cnf(c_0_2273_0,axiom,+ ( op(op(e3,e1),e5) = op(e3,op(e1,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2273,def_lhs_atom97])).++cnf(c_0_2274_0,axiom,+ ( op(op(e3,e2),e0) = op(e3,op(e2,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2274,def_lhs_atom96])).++cnf(c_0_2275_0,axiom,+ ( op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2275,def_lhs_atom95])).++cnf(c_0_2276_0,axiom,+ ( op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2276,def_lhs_atom94])).++cnf(c_0_2277_0,axiom,+ ( op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2277,def_lhs_atom93])).++cnf(c_0_2278_0,axiom,+ ( op(op(e3,e2),e4) = op(e3,op(e2,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2278,def_lhs_atom92])).++cnf(c_0_2279_0,axiom,+ ( op(op(e3,e2),e5) = op(e3,op(e2,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2279,def_lhs_atom91])).++cnf(c_0_2280_0,axiom,+ ( op(op(e3,e3),e0) = op(e3,op(e3,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2280,def_lhs_atom90])).++cnf(c_0_2281_0,axiom,+ ( op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2281,def_lhs_atom89])).++cnf(c_0_2282_0,axiom,+ ( op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2282,def_lhs_atom88])).++cnf(c_0_2283_0,axiom,+ ( op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2283,def_lhs_atom87])).++cnf(c_0_2284_0,axiom,+ ( op(op(e3,e3),e4) = op(e3,op(e3,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2284,def_lhs_atom86])).++cnf(c_0_2285_0,axiom,+ ( op(op(e3,e3),e5) = op(e3,op(e3,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2285,def_lhs_atom85])).++cnf(c_0_2286_0,axiom,+ ( op(op(e3,e4),e0) = op(e3,op(e4,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2286,def_lhs_atom84])).++cnf(c_0_2287_0,axiom,+ ( op(op(e3,e4),e1) = op(e3,op(e4,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2287,def_lhs_atom83])).++cnf(c_0_2288_0,axiom,+ ( op(op(e3,e4),e2) = op(e3,op(e4,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2288,def_lhs_atom82])).++cnf(c_0_2289_0,axiom,+ ( op(op(e3,e4),e3) = op(e3,op(e4,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2289,def_lhs_atom81])).++cnf(c_0_2290_0,axiom,+ ( op(op(e3,e4),e4) = op(e3,op(e4,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2290,def_lhs_atom80])).++cnf(c_0_2291_0,axiom,+ ( op(op(e3,e4),e5) = op(e3,op(e4,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2291,def_lhs_atom79])).++cnf(c_0_2292_0,axiom,+ ( op(op(e3,e5),e0) = op(e3,op(e5,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2292,def_lhs_atom78])).++cnf(c_0_2293_0,axiom,+ ( op(op(e3,e5),e1) = op(e3,op(e5,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2293,def_lhs_atom77])).++cnf(c_0_2294_0,axiom,+ ( op(op(e3,e5),e2) = op(e3,op(e5,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2294,def_lhs_atom76])).++cnf(c_0_2295_0,axiom,+ ( op(op(e3,e5),e3) = op(e3,op(e5,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2295,def_lhs_atom75])).++cnf(c_0_2296_0,axiom,+ ( op(op(e3,e5),e4) = op(e3,op(e5,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2296,def_lhs_atom74])).++cnf(c_0_2297_0,axiom,+ ( op(op(e3,e5),e5) = op(e3,op(e5,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2297,def_lhs_atom73])).++cnf(c_0_2298_0,axiom,+ ( op(op(e4,e0),e0) = op(e4,op(e0,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2298,def_lhs_atom72])).++cnf(c_0_2299_0,axiom,+ ( op(op(e4,e0),e1) = op(e4,op(e0,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2299,def_lhs_atom71])).++cnf(c_0_2300_0,axiom,+ ( op(op(e4,e0),e2) = op(e4,op(e0,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2300,def_lhs_atom70])).++cnf(c_0_2301_0,axiom,+ ( op(op(e4,e0),e3) = op(e4,op(e0,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2301,def_lhs_atom69])).++cnf(c_0_2302_0,axiom,+ ( op(op(e4,e0),e4) = op(e4,op(e0,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2302,def_lhs_atom68])).++cnf(c_0_2303_0,axiom,+ ( op(op(e4,e0),e5) = op(e4,op(e0,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2303,def_lhs_atom67])).++cnf(c_0_2304_0,axiom,+ ( op(op(e4,e1),e0) = op(e4,op(e1,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2304,def_lhs_atom66])).++cnf(c_0_2305_0,axiom,+ ( op(op(e4,e1),e1) = op(e4,op(e1,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2305,def_lhs_atom65])).++cnf(c_0_2306_0,axiom,+ ( op(op(e4,e1),e2) = op(e4,op(e1,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2306,def_lhs_atom64])).++cnf(c_0_2307_0,axiom,+ ( op(op(e4,e1),e3) = op(e4,op(e1,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2307,def_lhs_atom63])).++cnf(c_0_2308_0,axiom,+ ( op(op(e4,e1),e4) = op(e4,op(e1,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2308,def_lhs_atom62])).++cnf(c_0_2309_0,axiom,+ ( op(op(e4,e1),e5) = op(e4,op(e1,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2309,def_lhs_atom61])).++cnf(c_0_2310_0,axiom,+ ( op(op(e4,e2),e0) = op(e4,op(e2,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2310,def_lhs_atom60])).++cnf(c_0_2311_0,axiom,+ ( op(op(e4,e2),e1) = op(e4,op(e2,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2311,def_lhs_atom59])).++cnf(c_0_2312_0,axiom,+ ( op(op(e4,e2),e2) = op(e4,op(e2,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2312,def_lhs_atom58])).++cnf(c_0_2313_0,axiom,+ ( op(op(e4,e2),e3) = op(e4,op(e2,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2313,def_lhs_atom57])).++cnf(c_0_2314_0,axiom,+ ( op(op(e4,e2),e4) = op(e4,op(e2,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2314,def_lhs_atom56])).++cnf(c_0_2315_0,axiom,+ ( op(op(e4,e2),e5) = op(e4,op(e2,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2315,def_lhs_atom55])).++cnf(c_0_2316_0,axiom,+ ( op(op(e4,e3),e0) = op(e4,op(e3,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2316,def_lhs_atom54])).++cnf(c_0_2317_0,axiom,+ ( op(op(e4,e3),e1) = op(e4,op(e3,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2317,def_lhs_atom53])).++cnf(c_0_2318_0,axiom,+ ( op(op(e4,e3),e2) = op(e4,op(e3,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2318,def_lhs_atom52])).++cnf(c_0_2319_0,axiom,+ ( op(op(e4,e3),e3) = op(e4,op(e3,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2319,def_lhs_atom51])).++cnf(c_0_2320_0,axiom,+ ( op(op(e4,e3),e4) = op(e4,op(e3,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2320,def_lhs_atom50])).++cnf(c_0_2321_0,axiom,+ ( op(op(e4,e3),e5) = op(e4,op(e3,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2321,def_lhs_atom49])).++cnf(c_0_2322_0,axiom,+ ( op(op(e4,e4),e0) = op(e4,op(e4,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2322,def_lhs_atom48])).++cnf(c_0_2323_0,axiom,+ ( op(op(e4,e4),e1) = op(e4,op(e4,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2323,def_lhs_atom47])).++cnf(c_0_2324_0,axiom,+ ( op(op(e4,e4),e2) = op(e4,op(e4,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2324,def_lhs_atom46])).++cnf(c_0_2325_0,axiom,+ ( op(op(e4,e4),e3) = op(e4,op(e4,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2325,def_lhs_atom45])).++cnf(c_0_2326_0,axiom,+ ( op(op(e4,e4),e4) = op(e4,op(e4,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2326,def_lhs_atom44])).++cnf(c_0_2327_0,axiom,+ ( op(op(e4,e4),e5) = op(e4,op(e4,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2327,def_lhs_atom43])).++cnf(c_0_2328_0,axiom,+ ( op(op(e4,e5),e0) = op(e4,op(e5,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2328,def_lhs_atom42])).++cnf(c_0_2329_0,axiom,+ ( op(op(e4,e5),e1) = op(e4,op(e5,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2329,def_lhs_atom41])).++cnf(c_0_2330_0,axiom,+ ( op(op(e4,e5),e2) = op(e4,op(e5,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2330,def_lhs_atom40])).++cnf(c_0_2331_0,axiom,+ ( op(op(e4,e5),e3) = op(e4,op(e5,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2331,def_lhs_atom39])).++cnf(c_0_2332_0,axiom,+ ( op(op(e4,e5),e4) = op(e4,op(e5,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2332,def_lhs_atom38])).++cnf(c_0_2333_0,axiom,+ ( op(op(e4,e5),e5) = op(e4,op(e5,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2333,def_lhs_atom37])).++cnf(c_0_2334_0,axiom,+ ( op(op(e5,e0),e0) = op(e5,op(e0,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2334,def_lhs_atom36])).++cnf(c_0_2335_0,axiom,+ ( op(op(e5,e0),e1) = op(e5,op(e0,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2335,def_lhs_atom35])).++cnf(c_0_2336_0,axiom,+ ( op(op(e5,e0),e2) = op(e5,op(e0,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2336,def_lhs_atom34])).++cnf(c_0_2337_0,axiom,+ ( op(op(e5,e0),e3) = op(e5,op(e0,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2337,def_lhs_atom33])).++cnf(c_0_2338_0,axiom,+ ( op(op(e5,e0),e4) = op(e5,op(e0,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2338,def_lhs_atom32])).++cnf(c_0_2339_0,axiom,+ ( op(op(e5,e0),e5) = op(e5,op(e0,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2339,def_lhs_atom31])).++cnf(c_0_2340_0,axiom,+ ( op(op(e5,e1),e0) = op(e5,op(e1,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2340,def_lhs_atom30])).++cnf(c_0_2341_0,axiom,+ ( op(op(e5,e1),e1) = op(e5,op(e1,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2341,def_lhs_atom29])).++cnf(c_0_2342_0,axiom,+ ( op(op(e5,e1),e2) = op(e5,op(e1,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2342,def_lhs_atom28])).++cnf(c_0_2343_0,axiom,+ ( op(op(e5,e1),e3) = op(e5,op(e1,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2343,def_lhs_atom27])).++cnf(c_0_2344_0,axiom,+ ( op(op(e5,e1),e4) = op(e5,op(e1,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2344,def_lhs_atom26])).++cnf(c_0_2345_0,axiom,+ ( op(op(e5,e1),e5) = op(e5,op(e1,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2345,def_lhs_atom25])).++cnf(c_0_2346_0,axiom,+ ( op(op(e5,e2),e0) = op(e5,op(e2,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2346,def_lhs_atom24])).++cnf(c_0_2347_0,axiom,+ ( op(op(e5,e2),e1) = op(e5,op(e2,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2347,def_lhs_atom23])).++cnf(c_0_2348_0,axiom,+ ( op(op(e5,e2),e2) = op(e5,op(e2,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2348,def_lhs_atom22])).++cnf(c_0_2349_0,axiom,+ ( op(op(e5,e2),e3) = op(e5,op(e2,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2349,def_lhs_atom21])).++cnf(c_0_2350_0,axiom,+ ( op(op(e5,e2),e4) = op(e5,op(e2,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2350,def_lhs_atom20])).++cnf(c_0_2351_0,axiom,+ ( op(op(e5,e2),e5) = op(e5,op(e2,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2351,def_lhs_atom19])).++cnf(c_0_2352_0,axiom,+ ( op(op(e5,e3),e0) = op(e5,op(e3,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2352,def_lhs_atom18])).++cnf(c_0_2353_0,axiom,+ ( op(op(e5,e3),e1) = op(e5,op(e3,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2353,def_lhs_atom17])).++cnf(c_0_2354_0,axiom,+ ( op(op(e5,e3),e2) = op(e5,op(e3,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2354,def_lhs_atom16])).++cnf(c_0_2355_0,axiom,+ ( op(op(e5,e3),e3) = op(e5,op(e3,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2355,def_lhs_atom15])).++cnf(c_0_2356_0,axiom,+ ( op(op(e5,e3),e4) = op(e5,op(e3,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2356,def_lhs_atom14])).++cnf(c_0_2357_0,axiom,+ ( op(op(e5,e3),e5) = op(e5,op(e3,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2357,def_lhs_atom13])).++cnf(c_0_2358_0,axiom,+ ( op(op(e5,e4),e0) = op(e5,op(e4,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2358,def_lhs_atom12])).++cnf(c_0_2359_0,axiom,+ ( op(op(e5,e4),e1) = op(e5,op(e4,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2359,def_lhs_atom11])).++cnf(c_0_2360_0,axiom,+ ( op(op(e5,e4),e2) = op(e5,op(e4,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2360,def_lhs_atom10])).++cnf(c_0_2361_0,axiom,+ ( op(op(e5,e4),e3) = op(e5,op(e4,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2361,def_lhs_atom9])).++cnf(c_0_2362_0,axiom,+ ( op(op(e5,e4),e4) = op(e5,op(e4,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2362,def_lhs_atom8])).++cnf(c_0_2363_0,axiom,+ ( op(op(e5,e4),e5) = op(e5,op(e4,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2363,def_lhs_atom7])).++cnf(c_0_2364_0,axiom,+ ( op(op(e5,e5),e0) = op(e5,op(e5,e0)) ),+ inference(unfold_definition,[status(thm)],[c_0_2364,def_lhs_atom6])).++cnf(c_0_2365_0,axiom,+ ( op(op(e5,e5),e1) = op(e5,op(e5,e1)) ),+ inference(unfold_definition,[status(thm)],[c_0_2365,def_lhs_atom5])).++cnf(c_0_2366_0,axiom,+ ( op(op(e5,e5),e2) = op(e5,op(e5,e2)) ),+ inference(unfold_definition,[status(thm)],[c_0_2366,def_lhs_atom4])).++cnf(c_0_2367_0,axiom,+ ( op(op(e5,e5),e3) = op(e5,op(e5,e3)) ),+ inference(unfold_definition,[status(thm)],[c_0_2367,def_lhs_atom3])).++cnf(c_0_2368_0,axiom,+ ( op(op(e5,e5),e4) = op(e5,op(e5,e4)) ),+ inference(unfold_definition,[status(thm)],[c_0_2368,def_lhs_atom2])).++cnf(c_0_2369_0,axiom,+ ( op(op(e5,e5),e5) = op(e5,op(e5,e5)) ),+ inference(unfold_definition,[status(thm)],[c_0_2369,def_lhs_atom1])).++% Orienting (remaining) axiom formulas using strategy ClausalAll+% CNF of (remaining) axioms:+% Start CNF derivation+fof(c_0_0_001,axiom,+ ( ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3+ | op(e0,e0) = e4+ | op(e0,e0) = e5 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3+ | op(e0,e1) = e4+ | op(e0,e1) = e5 )+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3+ | op(e0,e2) = e4+ | op(e0,e2) = e5 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3+ | op(e0,e3) = e4+ | op(e0,e3) = e5 )+ & ( op(e0,e4) = e0+ | op(e0,e4) = e1+ | op(e0,e4) = e2+ | op(e0,e4) = e3+ | op(e0,e4) = e4+ | op(e0,e4) = e5 )+ & ( op(e0,e5) = e0+ | op(e0,e5) = e1+ | op(e0,e5) = e2+ | op(e0,e5) = e3+ | op(e0,e5) = e4+ | op(e0,e5) = e5 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3+ | op(e1,e0) = e4+ | op(e1,e0) = e5 )+ & ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3+ | op(e1,e1) = e4+ | op(e1,e1) = e5 )+ & ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3+ | op(e1,e2) = e4+ | op(e1,e2) = e5 )+ & ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3+ | op(e1,e3) = e4+ | op(e1,e3) = e5 )+ & ( op(e1,e4) = e0+ | op(e1,e4) = e1+ | op(e1,e4) = e2+ | op(e1,e4) = e3+ | op(e1,e4) = e4+ | op(e1,e4) = e5 )+ & ( op(e1,e5) = e0+ | op(e1,e5) = e1+ | op(e1,e5) = e2+ | op(e1,e5) = e3+ | op(e1,e5) = e4+ | op(e1,e5) = e5 )+ & ( op(e2,e0) = e0+ | op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3+ | op(e2,e0) = e4+ | op(e2,e0) = e5 )+ & ( op(e2,e1) = e0+ | op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3+ | op(e2,e1) = e4+ | op(e2,e1) = e5 )+ & ( op(e2,e2) = e0+ | op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3+ | op(e2,e2) = e4+ | op(e2,e2) = e5 )+ & ( op(e2,e3) = e0+ | op(e2,e3) = e1+ | op(e2,e3) = e2+ | op(e2,e3) = e3+ | op(e2,e3) = e4+ | op(e2,e3) = e5 )+ & ( op(e2,e4) = e0+ | op(e2,e4) = e1+ | op(e2,e4) = e2+ | op(e2,e4) = e3+ | op(e2,e4) = e4+ | op(e2,e4) = e5 )+ & ( op(e2,e5) = e0+ | op(e2,e5) = e1+ | op(e2,e5) = e2+ | op(e2,e5) = e3+ | op(e2,e5) = e4+ | op(e2,e5) = e5 )+ & ( op(e3,e0) = e0+ | op(e3,e0) = e1+ | op(e3,e0) = e2+ | op(e3,e0) = e3+ | op(e3,e0) = e4+ | op(e3,e0) = e5 )+ & ( op(e3,e1) = e0+ | op(e3,e1) = e1+ | op(e3,e1) = e2+ | op(e3,e1) = e3+ | op(e3,e1) = e4+ | op(e3,e1) = e5 )+ & ( op(e3,e2) = e0+ | op(e3,e2) = e1+ | op(e3,e2) = e2+ | op(e3,e2) = e3+ | op(e3,e2) = e4+ | op(e3,e2) = e5 )+ & ( op(e3,e3) = e0+ | op(e3,e3) = e1+ | op(e3,e3) = e2+ | op(e3,e3) = e3+ | op(e3,e3) = e4+ | op(e3,e3) = e5 )+ & ( op(e3,e4) = e0+ | op(e3,e4) = e1+ | op(e3,e4) = e2+ | op(e3,e4) = e3+ | op(e3,e4) = e4+ | op(e3,e4) = e5 )+ & ( op(e3,e5) = e0+ | op(e3,e5) = e1+ | op(e3,e5) = e2+ | op(e3,e5) = e3+ | op(e3,e5) = e4+ | op(e3,e5) = e5 )+ & ( op(e4,e0) = e0+ | op(e4,e0) = e1+ | op(e4,e0) = e2+ | op(e4,e0) = e3+ | op(e4,e0) = e4+ | op(e4,e0) = e5 )+ & ( op(e4,e1) = e0+ | op(e4,e1) = e1+ | op(e4,e1) = e2+ | op(e4,e1) = e3+ | op(e4,e1) = e4+ | op(e4,e1) = e5 )+ & ( op(e4,e2) = e0+ | op(e4,e2) = e1+ | op(e4,e2) = e2+ | op(e4,e2) = e3+ | op(e4,e2) = e4+ | op(e4,e2) = e5 )+ & ( op(e4,e3) = e0+ | op(e4,e3) = e1+ | op(e4,e3) = e2+ | op(e4,e3) = e3+ | op(e4,e3) = e4+ | op(e4,e3) = e5 )+ & ( op(e4,e4) = e0+ | op(e4,e4) = e1+ | op(e4,e4) = e2+ | op(e4,e4) = e3+ | op(e4,e4) = e4+ | op(e4,e4) = e5 )+ & ( op(e4,e5) = e0+ | op(e4,e5) = e1+ | op(e4,e5) = e2+ | op(e4,e5) = e3+ | op(e4,e5) = e4+ | op(e4,e5) = e5 )+ & ( op(e5,e0) = e0+ | op(e5,e0) = e1+ | op(e5,e0) = e2+ | op(e5,e0) = e3+ | op(e5,e0) = e4+ | op(e5,e0) = e5 )+ & ( op(e5,e1) = e0+ | op(e5,e1) = e1+ | op(e5,e1) = e2+ | op(e5,e1) = e3+ | op(e5,e1) = e4+ | op(e5,e1) = e5 )+ & ( op(e5,e2) = e0+ | op(e5,e2) = e1+ | op(e5,e2) = e2+ | op(e5,e2) = e3+ | op(e5,e2) = e4+ | op(e5,e2) = e5 )+ & ( op(e5,e3) = e0+ | op(e5,e3) = e1+ | op(e5,e3) = e2+ | op(e5,e3) = e3+ | op(e5,e3) = e4+ | op(e5,e3) = e5 )+ & ( op(e5,e4) = e0+ | op(e5,e4) = e1+ | op(e5,e4) = e2+ | op(e5,e4) = e3+ | op(e5,e4) = e4+ | op(e5,e4) = e5 )+ & ( op(e5,e5) = e0+ | op(e5,e5) = e1+ | op(e5,e5) = e2+ | op(e5,e5) = e3+ | op(e5,e5) = e4+ | op(e5,e5) = e5 ) ),+ file('<stdin>',ax1)).++fof(c_0_1_002,axiom,+ ( op(e0,inv(e0)) = unit+ & op(inv(e0),e0) = unit+ & op(e1,inv(e1)) = unit+ & op(inv(e1),e1) = unit+ & op(e2,inv(e2)) = unit+ & op(inv(e2),e2) = unit+ & op(e3,inv(e3)) = unit+ & op(inv(e3),e3) = unit+ & op(e4,inv(e4)) = unit+ & op(inv(e4),e4) = unit+ & op(e5,inv(e5)) = unit+ & op(inv(e5),e5) = unit+ & ( inv(e0) = e0+ | inv(e0) = e1+ | inv(e0) = e2+ | inv(e0) = e3+ | inv(e0) = e4+ | inv(e0) = e5 )+ & ( inv(e1) = e0+ | inv(e1) = e1+ | inv(e1) = e2+ | inv(e1) = e3+ | inv(e1) = e4+ | inv(e1) = e5 )+ & ( inv(e2) = e0+ | inv(e2) = e1+ | inv(e2) = e2+ | inv(e2) = e3+ | inv(e2) = e4+ | inv(e2) = e5 )+ & ( inv(e3) = e0+ | inv(e3) = e1+ | inv(e3) = e2+ | inv(e3) = e3+ | inv(e3) = e4+ | inv(e3) = e5 )+ & ( inv(e4) = e0+ | inv(e4) = e1+ | inv(e4) = e2+ | inv(e4) = e3+ | inv(e4) = e4+ | inv(e4) = e5 )+ & ( inv(e5) = e0+ | inv(e5) = e1+ | inv(e5) = e2+ | inv(e5) = e3+ | inv(e5) = e4+ | inv(e5) = e5 ) ),+ file('<stdin>',ax4)).++fof(c_0_2_003,axiom,+ ( op(unit,e0) = e0+ & op(e0,unit) = e0+ & op(unit,e1) = e1+ & op(e1,unit) = e1+ & op(unit,e2) = e2+ & op(e2,unit) = e2+ & op(unit,e3) = e3+ & op(e3,unit) = e3+ & op(unit,e4) = e4+ & op(e4,unit) = e4+ & op(unit,e5) = e5+ & op(e5,unit) = e5+ & ( unit = e0+ | unit = e1+ | unit = e2+ | unit = e3+ | unit = e4+ | unit = e5 ) ),+ file('<stdin>',ax3)).++fof(c_0_3_004,axiom,+ ( ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3+ | op(e0,e0) = e4+ | op(e0,e0) = e5 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3+ | op(e0,e1) = e4+ | op(e0,e1) = e5 )+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3+ | op(e0,e2) = e4+ | op(e0,e2) = e5 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3+ | op(e0,e3) = e4+ | op(e0,e3) = e5 )+ & ( op(e0,e4) = e0+ | op(e0,e4) = e1+ | op(e0,e4) = e2+ | op(e0,e4) = e3+ | op(e0,e4) = e4+ | op(e0,e4) = e5 )+ & ( op(e0,e5) = e0+ | op(e0,e5) = e1+ | op(e0,e5) = e2+ | op(e0,e5) = e3+ | op(e0,e5) = e4+ | op(e0,e5) = e5 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3+ | op(e1,e0) = e4+ | op(e1,e0) = e5 )+ & ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3+ | op(e1,e1) = e4+ | op(e1,e1) = e5 )+ & ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3+ | op(e1,e2) = e4+ | op(e1,e2) = e5 )+ & ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3+ | op(e1,e3) = e4+ | op(e1,e3) = e5 )+ & ( op(e1,e4) = e0+ | op(e1,e4) = e1+ | op(e1,e4) = e2+ | op(e1,e4) = e3+ | op(e1,e4) = e4+ | op(e1,e4) = e5 )+ & ( op(e1,e5) = e0+ | op(e1,e5) = e1+ | op(e1,e5) = e2+ | op(e1,e5) = e3+ | op(e1,e5) = e4+ | op(e1,e5) = e5 )+ & ( op(e2,e0) = e0+ | op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3+ | op(e2,e0) = e4+ | op(e2,e0) = e5 )+ & ( op(e2,e1) = e0+ | op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3+ | op(e2,e1) = e4+ | op(e2,e1) = e5 )+ & ( op(e2,e2) = e0+ | op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3+ | op(e2,e2) = e4+ | op(e2,e2) = e5 )+ & ( op(e2,e3) = e0+ | op(e2,e3) = e1+ | op(e2,e3) = e2+ | op(e2,e3) = e3+ | op(e2,e3) = e4+ | op(e2,e3) = e5 )+ & ( op(e2,e4) = e0+ | op(e2,e4) = e1+ | op(e2,e4) = e2+ | op(e2,e4) = e3+ | op(e2,e4) = e4+ | op(e2,e4) = e5 )+ & ( op(e2,e5) = e0+ | op(e2,e5) = e1+ | op(e2,e5) = e2+ | op(e2,e5) = e3+ | op(e2,e5) = e4+ | op(e2,e5) = e5 )+ & ( op(e3,e0) = e0+ | op(e3,e0) = e1+ | op(e3,e0) = e2+ | op(e3,e0) = e3+ | op(e3,e0) = e4+ | op(e3,e0) = e5 )+ & ( op(e3,e1) = e0+ | op(e3,e1) = e1+ | op(e3,e1) = e2+ | op(e3,e1) = e3+ | op(e3,e1) = e4+ | op(e3,e1) = e5 )+ & ( op(e3,e2) = e0+ | op(e3,e2) = e1+ | op(e3,e2) = e2+ | op(e3,e2) = e3+ | op(e3,e2) = e4+ | op(e3,e2) = e5 )+ & ( op(e3,e3) = e0+ | op(e3,e3) = e1+ | op(e3,e3) = e2+ | op(e3,e3) = e3+ | op(e3,e3) = e4+ | op(e3,e3) = e5 )+ & ( op(e3,e4) = e0+ | op(e3,e4) = e1+ | op(e3,e4) = e2+ | op(e3,e4) = e3+ | op(e3,e4) = e4+ | op(e3,e4) = e5 )+ & ( op(e3,e5) = e0+ | op(e3,e5) = e1+ | op(e3,e5) = e2+ | op(e3,e5) = e3+ | op(e3,e5) = e4+ | op(e3,e5) = e5 )+ & ( op(e4,e0) = e0+ | op(e4,e0) = e1+ | op(e4,e0) = e2+ | op(e4,e0) = e3+ | op(e4,e0) = e4+ | op(e4,e0) = e5 )+ & ( op(e4,e1) = e0+ | op(e4,e1) = e1+ | op(e4,e1) = e2+ | op(e4,e1) = e3+ | op(e4,e1) = e4+ | op(e4,e1) = e5 )+ & ( op(e4,e2) = e0+ | op(e4,e2) = e1+ | op(e4,e2) = e2+ | op(e4,e2) = e3+ | op(e4,e2) = e4+ | op(e4,e2) = e5 )+ & ( op(e4,e3) = e0+ | op(e4,e3) = e1+ | op(e4,e3) = e2+ | op(e4,e3) = e3+ | op(e4,e3) = e4+ | op(e4,e3) = e5 )+ & ( op(e4,e4) = e0+ | op(e4,e4) = e1+ | op(e4,e4) = e2+ | op(e4,e4) = e3+ | op(e4,e4) = e4+ | op(e4,e4) = e5 )+ & ( op(e4,e5) = e0+ | op(e4,e5) = e1+ | op(e4,e5) = e2+ | op(e4,e5) = e3+ | op(e4,e5) = e4+ | op(e4,e5) = e5 )+ & ( op(e5,e0) = e0+ | op(e5,e0) = e1+ | op(e5,e0) = e2+ | op(e5,e0) = e3+ | op(e5,e0) = e4+ | op(e5,e0) = e5 )+ & ( op(e5,e1) = e0+ | op(e5,e1) = e1+ | op(e5,e1) = e2+ | op(e5,e1) = e3+ | op(e5,e1) = e4+ | op(e5,e1) = e5 )+ & ( op(e5,e2) = e0+ | op(e5,e2) = e1+ | op(e5,e2) = e2+ | op(e5,e2) = e3+ | op(e5,e2) = e4+ | op(e5,e2) = e5 )+ & ( op(e5,e3) = e0+ | op(e5,e3) = e1+ | op(e5,e3) = e2+ | op(e5,e3) = e3+ | op(e5,e3) = e4+ | op(e5,e3) = e5 )+ & ( op(e5,e4) = e0+ | op(e5,e4) = e1+ | op(e5,e4) = e2+ | op(e5,e4) = e3+ | op(e5,e4) = e4+ | op(e5,e4) = e5 )+ & ( op(e5,e5) = e0+ | op(e5,e5) = e1+ | op(e5,e5) = e2+ | op(e5,e5) = e3+ | op(e5,e5) = e4+ | op(e5,e5) = e5 ) ),+ c_0_0).++fof(c_0_4_005,axiom,+ ( op(e0,inv(e0)) = unit+ & op(inv(e0),e0) = unit+ & op(e1,inv(e1)) = unit+ & op(inv(e1),e1) = unit+ & op(e2,inv(e2)) = unit+ & op(inv(e2),e2) = unit+ & op(e3,inv(e3)) = unit+ & op(inv(e3),e3) = unit+ & op(e4,inv(e4)) = unit+ & op(inv(e4),e4) = unit+ & op(e5,inv(e5)) = unit+ & op(inv(e5),e5) = unit+ & ( inv(e0) = e0+ | inv(e0) = e1+ | inv(e0) = e2+ | inv(e0) = e3+ | inv(e0) = e4+ | inv(e0) = e5 )+ & ( inv(e1) = e0+ | inv(e1) = e1+ | inv(e1) = e2+ | inv(e1) = e3+ | inv(e1) = e4+ | inv(e1) = e5 )+ & ( inv(e2) = e0+ | inv(e2) = e1+ | inv(e2) = e2+ | inv(e2) = e3+ | inv(e2) = e4+ | inv(e2) = e5 )+ & ( inv(e3) = e0+ | inv(e3) = e1+ | inv(e3) = e2+ | inv(e3) = e3+ | inv(e3) = e4+ | inv(e3) = e5 )+ & ( inv(e4) = e0+ | inv(e4) = e1+ | inv(e4) = e2+ | inv(e4) = e3+ | inv(e4) = e4+ | inv(e4) = e5 )+ & ( inv(e5) = e0+ | inv(e5) = e1+ | inv(e5) = e2+ | inv(e5) = e3+ | inv(e5) = e4+ | inv(e5) = e5 ) ),+ c_0_1).++fof(c_0_5_006,axiom,+ ( op(unit,e0) = e0+ & op(e0,unit) = e0+ & op(unit,e1) = e1+ & op(e1,unit) = e1+ & op(unit,e2) = e2+ & op(e2,unit) = e2+ & op(unit,e3) = e3+ & op(e3,unit) = e3+ & op(unit,e4) = e4+ & op(e4,unit) = e4+ & op(unit,e5) = e5+ & op(e5,unit) = e5+ & ( unit = e0+ | unit = e1+ | unit = e2+ | unit = e3+ | unit = e4+ | unit = e5 ) ),+ c_0_2).++fof(c_0_6_007,axiom,+ ( ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3+ | op(e0,e0) = e4+ | op(e0,e0) = e5 )+ & ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3+ | op(e0,e1) = e4+ | op(e0,e1) = e5 )+ & ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3+ | op(e0,e2) = e4+ | op(e0,e2) = e5 )+ & ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3+ | op(e0,e3) = e4+ | op(e0,e3) = e5 )+ & ( op(e0,e4) = e0+ | op(e0,e4) = e1+ | op(e0,e4) = e2+ | op(e0,e4) = e3+ | op(e0,e4) = e4+ | op(e0,e4) = e5 )+ & ( op(e0,e5) = e0+ | op(e0,e5) = e1+ | op(e0,e5) = e2+ | op(e0,e5) = e3+ | op(e0,e5) = e4+ | op(e0,e5) = e5 )+ & ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3+ | op(e1,e0) = e4+ | op(e1,e0) = e5 )+ & ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3+ | op(e1,e1) = e4+ | op(e1,e1) = e5 )+ & ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3+ | op(e1,e2) = e4+ | op(e1,e2) = e5 )+ & ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3+ | op(e1,e3) = e4+ | op(e1,e3) = e5 )+ & ( op(e1,e4) = e0+ | op(e1,e4) = e1+ | op(e1,e4) = e2+ | op(e1,e4) = e3+ | op(e1,e4) = e4+ | op(e1,e4) = e5 )+ & ( op(e1,e5) = e0+ | op(e1,e5) = e1+ | op(e1,e5) = e2+ | op(e1,e5) = e3+ | op(e1,e5) = e4+ | op(e1,e5) = e5 )+ & ( op(e2,e0) = e0+ | op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3+ | op(e2,e0) = e4+ | op(e2,e0) = e5 )+ & ( op(e2,e1) = e0+ | op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3+ | op(e2,e1) = e4+ | op(e2,e1) = e5 )+ & ( op(e2,e2) = e0+ | op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3+ | op(e2,e2) = e4+ | op(e2,e2) = e5 )+ & ( op(e2,e3) = e0+ | op(e2,e3) = e1+ | op(e2,e3) = e2+ | op(e2,e3) = e3+ | op(e2,e3) = e4+ | op(e2,e3) = e5 )+ & ( op(e2,e4) = e0+ | op(e2,e4) = e1+ | op(e2,e4) = e2+ | op(e2,e4) = e3+ | op(e2,e4) = e4+ | op(e2,e4) = e5 )+ & ( op(e2,e5) = e0+ | op(e2,e5) = e1+ | op(e2,e5) = e2+ | op(e2,e5) = e3+ | op(e2,e5) = e4+ | op(e2,e5) = e5 )+ & ( op(e3,e0) = e0+ | op(e3,e0) = e1+ | op(e3,e0) = e2+ | op(e3,e0) = e3+ | op(e3,e0) = e4+ | op(e3,e0) = e5 )+ & ( op(e3,e1) = e0+ | op(e3,e1) = e1+ | op(e3,e1) = e2+ | op(e3,e1) = e3+ | op(e3,e1) = e4+ | op(e3,e1) = e5 )+ & ( op(e3,e2) = e0+ | op(e3,e2) = e1+ | op(e3,e2) = e2+ | op(e3,e2) = e3+ | op(e3,e2) = e4+ | op(e3,e2) = e5 )+ & ( op(e3,e3) = e0+ | op(e3,e3) = e1+ | op(e3,e3) = e2+ | op(e3,e3) = e3+ | op(e3,e3) = e4+ | op(e3,e3) = e5 )+ & ( op(e3,e4) = e0+ | op(e3,e4) = e1+ | op(e3,e4) = e2+ | op(e3,e4) = e3+ | op(e3,e4) = e4+ | op(e3,e4) = e5 )+ & ( op(e3,e5) = e0+ | op(e3,e5) = e1+ | op(e3,e5) = e2+ | op(e3,e5) = e3+ | op(e3,e5) = e4+ | op(e3,e5) = e5 )+ & ( op(e4,e0) = e0+ | op(e4,e0) = e1+ | op(e4,e0) = e2+ | op(e4,e0) = e3+ | op(e4,e0) = e4+ | op(e4,e0) = e5 )+ & ( op(e4,e1) = e0+ | op(e4,e1) = e1+ | op(e4,e1) = e2+ | op(e4,e1) = e3+ | op(e4,e1) = e4+ | op(e4,e1) = e5 )+ & ( op(e4,e2) = e0+ | op(e4,e2) = e1+ | op(e4,e2) = e2+ | op(e4,e2) = e3+ | op(e4,e2) = e4+ | op(e4,e2) = e5 )+ & ( op(e4,e3) = e0+ | op(e4,e3) = e1+ | op(e4,e3) = e2+ | op(e4,e3) = e3+ | op(e4,e3) = e4+ | op(e4,e3) = e5 )+ & ( op(e4,e4) = e0+ | op(e4,e4) = e1+ | op(e4,e4) = e2+ | op(e4,e4) = e3+ | op(e4,e4) = e4+ | op(e4,e4) = e5 )+ & ( op(e4,e5) = e0+ | op(e4,e5) = e1+ | op(e4,e5) = e2+ | op(e4,e5) = e3+ | op(e4,e5) = e4+ | op(e4,e5) = e5 )+ & ( op(e5,e0) = e0+ | op(e5,e0) = e1+ | op(e5,e0) = e2+ | op(e5,e0) = e3+ | op(e5,e0) = e4+ | op(e5,e0) = e5 )+ & ( op(e5,e1) = e0+ | op(e5,e1) = e1+ | op(e5,e1) = e2+ | op(e5,e1) = e3+ | op(e5,e1) = e4+ | op(e5,e1) = e5 )+ & ( op(e5,e2) = e0+ | op(e5,e2) = e1+ | op(e5,e2) = e2+ | op(e5,e2) = e3+ | op(e5,e2) = e4+ | op(e5,e2) = e5 )+ & ( op(e5,e3) = e0+ | op(e5,e3) = e1+ | op(e5,e3) = e2+ | op(e5,e3) = e3+ | op(e5,e3) = e4+ | op(e5,e3) = e5 )+ & ( op(e5,e4) = e0+ | op(e5,e4) = e1+ | op(e5,e4) = e2+ | op(e5,e4) = e3+ | op(e5,e4) = e4+ | op(e5,e4) = e5 )+ & ( op(e5,e5) = e0+ | op(e5,e5) = e1+ | op(e5,e5) = e2+ | op(e5,e5) = e3+ | op(e5,e5) = e4+ | op(e5,e5) = e5 ) ),+ c_0_3).++fof(c_0_7_008,axiom,+ ( op(e0,inv(e0)) = unit+ & op(inv(e0),e0) = unit+ & op(e1,inv(e1)) = unit+ & op(inv(e1),e1) = unit+ & op(e2,inv(e2)) = unit+ & op(inv(e2),e2) = unit+ & op(e3,inv(e3)) = unit+ & op(inv(e3),e3) = unit+ & op(e4,inv(e4)) = unit+ & op(inv(e4),e4) = unit+ & op(e5,inv(e5)) = unit+ & op(inv(e5),e5) = unit+ & ( inv(e0) = e0+ | inv(e0) = e1+ | inv(e0) = e2+ | inv(e0) = e3+ | inv(e0) = e4+ | inv(e0) = e5 )+ & ( inv(e1) = e0+ | inv(e1) = e1+ | inv(e1) = e2+ | inv(e1) = e3+ | inv(e1) = e4+ | inv(e1) = e5 )+ & ( inv(e2) = e0+ | inv(e2) = e1+ | inv(e2) = e2+ | inv(e2) = e3+ | inv(e2) = e4+ | inv(e2) = e5 )+ & ( inv(e3) = e0+ | inv(e3) = e1+ | inv(e3) = e2+ | inv(e3) = e3+ | inv(e3) = e4+ | inv(e3) = e5 )+ & ( inv(e4) = e0+ | inv(e4) = e1+ | inv(e4) = e2+ | inv(e4) = e3+ | inv(e4) = e4+ | inv(e4) = e5 )+ & ( inv(e5) = e0+ | inv(e5) = e1+ | inv(e5) = e2+ | inv(e5) = e3+ | inv(e5) = e4+ | inv(e5) = e5 ) ),+ c_0_4).++fof(c_0_8_009,axiom,+ ( op(unit,e0) = e0+ & op(e0,unit) = e0+ & op(unit,e1) = e1+ & op(e1,unit) = e1+ & op(unit,e2) = e2+ & op(e2,unit) = e2+ & op(unit,e3) = e3+ & op(e3,unit) = e3+ & op(unit,e4) = e4+ & op(e4,unit) = e4+ & op(unit,e5) = e5+ & op(e5,unit) = e5+ & ( unit = e0+ | unit = e1+ | unit = e2+ | unit = e3+ | unit = e4+ | unit = e5 ) ),+ c_0_5).++cnf(c_0_9_010,plain,+ ( op(e0,e0) = e5+ | op(e0,e0) = e4+ | op(e0,e0) = e3+ | op(e0,e0) = e2+ | op(e0,e0) = e1+ | op(e0,e0) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_10_011,plain,+ ( op(e0,e1) = e5+ | op(e0,e1) = e4+ | op(e0,e1) = e3+ | op(e0,e1) = e2+ | op(e0,e1) = e1+ | op(e0,e1) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_11_012,plain,+ ( op(e0,e2) = e5+ | op(e0,e2) = e4+ | op(e0,e2) = e3+ | op(e0,e2) = e2+ | op(e0,e2) = e1+ | op(e0,e2) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_12_013,plain,+ ( op(e0,e3) = e5+ | op(e0,e3) = e4+ | op(e0,e3) = e3+ | op(e0,e3) = e2+ | op(e0,e3) = e1+ | op(e0,e3) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_13_014,plain,+ ( op(e0,e4) = e5+ | op(e0,e4) = e4+ | op(e0,e4) = e3+ | op(e0,e4) = e2+ | op(e0,e4) = e1+ | op(e0,e4) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_14_015,plain,+ ( op(e0,e5) = e5+ | op(e0,e5) = e4+ | op(e0,e5) = e3+ | op(e0,e5) = e2+ | op(e0,e5) = e1+ | op(e0,e5) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_15_016,plain,+ ( op(e1,e0) = e5+ | op(e1,e0) = e4+ | op(e1,e0) = e3+ | op(e1,e0) = e2+ | op(e1,e0) = e1+ | op(e1,e0) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_16_017,plain,+ ( op(e1,e1) = e5+ | op(e1,e1) = e4+ | op(e1,e1) = e3+ | op(e1,e1) = e2+ | op(e1,e1) = e1+ | op(e1,e1) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_17_018,plain,+ ( op(e1,e2) = e5+ | op(e1,e2) = e4+ | op(e1,e2) = e3+ | op(e1,e2) = e2+ | op(e1,e2) = e1+ | op(e1,e2) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_18_019,plain,+ ( op(e1,e3) = e5+ | op(e1,e3) = e4+ | op(e1,e3) = e3+ | op(e1,e3) = e2+ | op(e1,e3) = e1+ | op(e1,e3) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_19_020,plain,+ ( op(e1,e4) = e5+ | op(e1,e4) = e4+ | op(e1,e4) = e3+ | op(e1,e4) = e2+ | op(e1,e4) = e1+ | op(e1,e4) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_20_021,plain,+ ( op(e1,e5) = e5+ | op(e1,e5) = e4+ | op(e1,e5) = e3+ | op(e1,e5) = e2+ | op(e1,e5) = e1+ | op(e1,e5) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_21_022,plain,+ ( op(e2,e0) = e5+ | op(e2,e0) = e4+ | op(e2,e0) = e3+ | op(e2,e0) = e2+ | op(e2,e0) = e1+ | op(e2,e0) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_22_023,plain,+ ( op(e2,e1) = e5+ | op(e2,e1) = e4+ | op(e2,e1) = e3+ | op(e2,e1) = e2+ | op(e2,e1) = e1+ | op(e2,e1) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_23_024,plain,+ ( op(e2,e2) = e5+ | op(e2,e2) = e4+ | op(e2,e2) = e3+ | op(e2,e2) = e2+ | op(e2,e2) = e1+ | op(e2,e2) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_24_025,plain,+ ( op(e2,e3) = e5+ | op(e2,e3) = e4+ | op(e2,e3) = e3+ | op(e2,e3) = e2+ | op(e2,e3) = e1+ | op(e2,e3) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_25_026,plain,+ ( op(e2,e4) = e5+ | op(e2,e4) = e4+ | op(e2,e4) = e3+ | op(e2,e4) = e2+ | op(e2,e4) = e1+ | op(e2,e4) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_26_027,plain,+ ( op(e2,e5) = e5+ | op(e2,e5) = e4+ | op(e2,e5) = e3+ | op(e2,e5) = e2+ | op(e2,e5) = e1+ | op(e2,e5) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_27_028,plain,+ ( op(e3,e0) = e5+ | op(e3,e0) = e4+ | op(e3,e0) = e3+ | op(e3,e0) = e2+ | op(e3,e0) = e1+ | op(e3,e0) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_28_029,plain,+ ( op(e3,e1) = e5+ | op(e3,e1) = e4+ | op(e3,e1) = e3+ | op(e3,e1) = e2+ | op(e3,e1) = e1+ | op(e3,e1) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_29_030,plain,+ ( op(e3,e2) = e5+ | op(e3,e2) = e4+ | op(e3,e2) = e3+ | op(e3,e2) = e2+ | op(e3,e2) = e1+ | op(e3,e2) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_30_031,plain,+ ( op(e3,e3) = e5+ | op(e3,e3) = e4+ | op(e3,e3) = e3+ | op(e3,e3) = e2+ | op(e3,e3) = e1+ | op(e3,e3) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_31_032,plain,+ ( op(e3,e4) = e5+ | op(e3,e4) = e4+ | op(e3,e4) = e3+ | op(e3,e4) = e2+ | op(e3,e4) = e1+ | op(e3,e4) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_32_033,plain,+ ( op(e3,e5) = e5+ | op(e3,e5) = e4+ | op(e3,e5) = e3+ | op(e3,e5) = e2+ | op(e3,e5) = e1+ | op(e3,e5) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_33_034,plain,+ ( op(e4,e0) = e5+ | op(e4,e0) = e4+ | op(e4,e0) = e3+ | op(e4,e0) = e2+ | op(e4,e0) = e1+ | op(e4,e0) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_34_035,plain,+ ( op(e4,e1) = e5+ | op(e4,e1) = e4+ | op(e4,e1) = e3+ | op(e4,e1) = e2+ | op(e4,e1) = e1+ | op(e4,e1) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_35_036,plain,+ ( op(e4,e2) = e5+ | op(e4,e2) = e4+ | op(e4,e2) = e3+ | op(e4,e2) = e2+ | op(e4,e2) = e1+ | op(e4,e2) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_36_037,plain,+ ( op(e4,e3) = e5+ | op(e4,e3) = e4+ | op(e4,e3) = e3+ | op(e4,e3) = e2+ | op(e4,e3) = e1+ | op(e4,e3) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_37_038,plain,+ ( op(e4,e4) = e5+ | op(e4,e4) = e4+ | op(e4,e4) = e3+ | op(e4,e4) = e2+ | op(e4,e4) = e1+ | op(e4,e4) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_38_039,plain,+ ( op(e4,e5) = e5+ | op(e4,e5) = e4+ | op(e4,e5) = e3+ | op(e4,e5) = e2+ | op(e4,e5) = e1+ | op(e4,e5) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_39_040,plain,+ ( op(e5,e0) = e5+ | op(e5,e0) = e4+ | op(e5,e0) = e3+ | op(e5,e0) = e2+ | op(e5,e0) = e1+ | op(e5,e0) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_40_041,plain,+ ( op(e5,e1) = e5+ | op(e5,e1) = e4+ | op(e5,e1) = e3+ | op(e5,e1) = e2+ | op(e5,e1) = e1+ | op(e5,e1) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_41_042,plain,+ ( op(e5,e2) = e5+ | op(e5,e2) = e4+ | op(e5,e2) = e3+ | op(e5,e2) = e2+ | op(e5,e2) = e1+ | op(e5,e2) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_42_043,plain,+ ( op(e5,e3) = e5+ | op(e5,e3) = e4+ | op(e5,e3) = e3+ | op(e5,e3) = e2+ | op(e5,e3) = e1+ | op(e5,e3) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_43_044,plain,+ ( op(e5,e4) = e5+ | op(e5,e4) = e4+ | op(e5,e4) = e3+ | op(e5,e4) = e2+ | op(e5,e4) = e1+ | op(e5,e4) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_44_045,plain,+ ( op(e5,e5) = e5+ | op(e5,e5) = e4+ | op(e5,e5) = e3+ | op(e5,e5) = e2+ | op(e5,e5) = e1+ | op(e5,e5) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_6])).++cnf(c_0_45_046,plain,+ ( inv(e0) = e5+ | inv(e0) = e4+ | inv(e0) = e3+ | inv(e0) = e2+ | inv(e0) = e1+ | inv(e0) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_46_047,plain,+ ( inv(e1) = e5+ | inv(e1) = e4+ | inv(e1) = e3+ | inv(e1) = e2+ | inv(e1) = e1+ | inv(e1) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_47_048,plain,+ ( inv(e2) = e5+ | inv(e2) = e4+ | inv(e2) = e3+ | inv(e2) = e2+ | inv(e2) = e1+ | inv(e2) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_48_049,plain,+ ( inv(e3) = e5+ | inv(e3) = e4+ | inv(e3) = e3+ | inv(e3) = e2+ | inv(e3) = e1+ | inv(e3) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_49_050,plain,+ ( inv(e4) = e5+ | inv(e4) = e4+ | inv(e4) = e3+ | inv(e4) = e2+ | inv(e4) = e1+ | inv(e4) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_50_051,plain,+ ( inv(e5) = e5+ | inv(e5) = e4+ | inv(e5) = e3+ | inv(e5) = e2+ | inv(e5) = e1+ | inv(e5) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_51_052,plain,+ ( op(e0,inv(e0)) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_52_053,plain,+ ( op(inv(e0),e0) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_53_054,plain,+ ( op(e1,inv(e1)) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_54_055,plain,+ ( op(inv(e1),e1) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_55_056,plain,+ ( op(e2,inv(e2)) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_56_057,plain,+ ( op(inv(e2),e2) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_57_058,plain,+ ( op(e3,inv(e3)) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_58_059,plain,+ ( op(inv(e3),e3) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_59_060,plain,+ ( op(e4,inv(e4)) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_60_061,plain,+ ( op(inv(e4),e4) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_61_062,plain,+ ( op(e5,inv(e5)) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_62_063,plain,+ ( op(inv(e5),e5) = unit ),+ inference(split_conjunct,[status(thm)],[c_0_7])).++cnf(c_0_63_064,plain,+ ( op(unit,e0) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_64_065,plain,+ ( op(e0,unit) = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_65_066,plain,+ ( op(unit,e1) = e1 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_66_067,plain,+ ( op(e1,unit) = e1 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_67_068,plain,+ ( op(unit,e2) = e2 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_68_069,plain,+ ( op(e2,unit) = e2 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_69_070,plain,+ ( op(unit,e3) = e3 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_70_071,plain,+ ( op(e3,unit) = e3 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_71_072,plain,+ ( op(unit,e4) = e4 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_72_073,plain,+ ( op(e4,unit) = e4 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_73_074,plain,+ ( op(unit,e5) = e5 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_74_075,plain,+ ( op(e5,unit) = e5 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_75_076,plain,+ ( unit = e5+ | unit = e4+ | unit = e3+ | unit = e2+ | unit = e1+ | unit = e0 ),+ inference(split_conjunct,[status(thm)],[c_0_8])).++cnf(c_0_76_077,plain,+ ( op(e0,e0) = e5+ | op(e0,e0) = e4+ | op(e0,e0) = e3+ | op(e0,e0) = e2+ | op(e0,e0) = e1+ | op(e0,e0) = e0 ),+ c_0_9,+ [final]).++cnf(c_0_77_078,plain,+ ( op(e0,e1) = e5+ | op(e0,e1) = e4+ | op(e0,e1) = e3+ | op(e0,e1) = e2+ | op(e0,e1) = e1+ | op(e0,e1) = e0 ),+ c_0_10,+ [final]).++cnf(c_0_78_079,plain,+ ( op(e0,e2) = e5+ | op(e0,e2) = e4+ | op(e0,e2) = e3+ | op(e0,e2) = e2+ | op(e0,e2) = e1+ | op(e0,e2) = e0 ),+ c_0_11,+ [final]).++cnf(c_0_79_080,plain,+ ( op(e0,e3) = e5+ | op(e0,e3) = e4+ | op(e0,e3) = e3+ | op(e0,e3) = e2+ | op(e0,e3) = e1+ | op(e0,e3) = e0 ),+ c_0_12,+ [final]).++cnf(c_0_80_081,plain,+ ( op(e0,e4) = e5+ | op(e0,e4) = e4+ | op(e0,e4) = e3+ | op(e0,e4) = e2+ | op(e0,e4) = e1+ | op(e0,e4) = e0 ),+ c_0_13,+ [final]).++cnf(c_0_81_082,plain,+ ( op(e0,e5) = e5+ | op(e0,e5) = e4+ | op(e0,e5) = e3+ | op(e0,e5) = e2+ | op(e0,e5) = e1+ | op(e0,e5) = e0 ),+ c_0_14,+ [final]).++cnf(c_0_82_083,plain,+ ( op(e1,e0) = e5+ | op(e1,e0) = e4+ | op(e1,e0) = e3+ | op(e1,e0) = e2+ | op(e1,e0) = e1+ | op(e1,e0) = e0 ),+ c_0_15,+ [final]).++cnf(c_0_83_084,plain,+ ( op(e1,e1) = e5+ | op(e1,e1) = e4+ | op(e1,e1) = e3+ | op(e1,e1) = e2+ | op(e1,e1) = e1+ | op(e1,e1) = e0 ),+ c_0_16,+ [final]).++cnf(c_0_84_085,plain,+ ( op(e1,e2) = e5+ | op(e1,e2) = e4+ | op(e1,e2) = e3+ | op(e1,e2) = e2+ | op(e1,e2) = e1+ | op(e1,e2) = e0 ),+ c_0_17,+ [final]).++cnf(c_0_85_086,plain,+ ( op(e1,e3) = e5+ | op(e1,e3) = e4+ | op(e1,e3) = e3+ | op(e1,e3) = e2+ | op(e1,e3) = e1+ | op(e1,e3) = e0 ),+ c_0_18,+ [final]).++cnf(c_0_86_087,plain,+ ( op(e1,e4) = e5+ | op(e1,e4) = e4+ | op(e1,e4) = e3+ | op(e1,e4) = e2+ | op(e1,e4) = e1+ | op(e1,e4) = e0 ),+ c_0_19,+ [final]).++cnf(c_0_87_088,plain,+ ( op(e1,e5) = e5+ | op(e1,e5) = e4+ | op(e1,e5) = e3+ | op(e1,e5) = e2+ | op(e1,e5) = e1+ | op(e1,e5) = e0 ),+ c_0_20,+ [final]).++cnf(c_0_88_089,plain,+ ( op(e2,e0) = e5+ | op(e2,e0) = e4+ | op(e2,e0) = e3+ | op(e2,e0) = e2+ | op(e2,e0) = e1+ | op(e2,e0) = e0 ),+ c_0_21,+ [final]).++cnf(c_0_89_090,plain,+ ( op(e2,e1) = e5+ | op(e2,e1) = e4+ | op(e2,e1) = e3+ | op(e2,e1) = e2+ | op(e2,e1) = e1+ | op(e2,e1) = e0 ),+ c_0_22,+ [final]).++cnf(c_0_90_091,plain,+ ( op(e2,e2) = e5+ | op(e2,e2) = e4+ | op(e2,e2) = e3+ | op(e2,e2) = e2+ | op(e2,e2) = e1+ | op(e2,e2) = e0 ),+ c_0_23,+ [final]).++cnf(c_0_91_092,plain,+ ( op(e2,e3) = e5+ | op(e2,e3) = e4+ | op(e2,e3) = e3+ | op(e2,e3) = e2+ | op(e2,e3) = e1+ | op(e2,e3) = e0 ),+ c_0_24,+ [final]).++cnf(c_0_92_093,plain,+ ( op(e2,e4) = e5+ | op(e2,e4) = e4+ | op(e2,e4) = e3+ | op(e2,e4) = e2+ | op(e2,e4) = e1+ | op(e2,e4) = e0 ),+ c_0_25,+ [final]).++cnf(c_0_93_094,plain,+ ( op(e2,e5) = e5+ | op(e2,e5) = e4+ | op(e2,e5) = e3+ | op(e2,e5) = e2+ | op(e2,e5) = e1+ | op(e2,e5) = e0 ),+ c_0_26,+ [final]).++cnf(c_0_94_095,plain,+ ( op(e3,e0) = e5+ | op(e3,e0) = e4+ | op(e3,e0) = e3+ | op(e3,e0) = e2+ | op(e3,e0) = e1+ | op(e3,e0) = e0 ),+ c_0_27,+ [final]).++cnf(c_0_95_096,plain,+ ( op(e3,e1) = e5+ | op(e3,e1) = e4+ | op(e3,e1) = e3+ | op(e3,e1) = e2+ | op(e3,e1) = e1+ | op(e3,e1) = e0 ),+ c_0_28,+ [final]).++cnf(c_0_96_097,plain,+ ( op(e3,e2) = e5+ | op(e3,e2) = e4+ | op(e3,e2) = e3+ | op(e3,e2) = e2+ | op(e3,e2) = e1+ | op(e3,e2) = e0 ),+ c_0_29,+ [final]).++cnf(c_0_97_098,plain,+ ( op(e3,e3) = e5+ | op(e3,e3) = e4+ | op(e3,e3) = e3+ | op(e3,e3) = e2+ | op(e3,e3) = e1+ | op(e3,e3) = e0 ),+ c_0_30,+ [final]).++cnf(c_0_98_099,plain,+ ( op(e3,e4) = e5+ | op(e3,e4) = e4+ | op(e3,e4) = e3+ | op(e3,e4) = e2+ | op(e3,e4) = e1+ | op(e3,e4) = e0 ),+ c_0_31,+ [final]).++cnf(c_0_99_100,plain,+ ( op(e3,e5) = e5+ | op(e3,e5) = e4+ | op(e3,e5) = e3+ | op(e3,e5) = e2+ | op(e3,e5) = e1+ | op(e3,e5) = e0 ),+ c_0_32,+ [final]).++cnf(c_0_100_101,plain,+ ( op(e4,e0) = e5+ | op(e4,e0) = e4+ | op(e4,e0) = e3+ | op(e4,e0) = e2+ | op(e4,e0) = e1+ | op(e4,e0) = e0 ),+ c_0_33,+ [final]).++cnf(c_0_101_102,plain,+ ( op(e4,e1) = e5+ | op(e4,e1) = e4+ | op(e4,e1) = e3+ | op(e4,e1) = e2+ | op(e4,e1) = e1+ | op(e4,e1) = e0 ),+ c_0_34,+ [final]).++cnf(c_0_102_103,plain,+ ( op(e4,e2) = e5+ | op(e4,e2) = e4+ | op(e4,e2) = e3+ | op(e4,e2) = e2+ | op(e4,e2) = e1+ | op(e4,e2) = e0 ),+ c_0_35,+ [final]).++cnf(c_0_103_104,plain,+ ( op(e4,e3) = e5+ | op(e4,e3) = e4+ | op(e4,e3) = e3+ | op(e4,e3) = e2+ | op(e4,e3) = e1+ | op(e4,e3) = e0 ),+ c_0_36,+ [final]).++cnf(c_0_104_105,plain,+ ( op(e4,e4) = e5+ | op(e4,e4) = e4+ | op(e4,e4) = e3+ | op(e4,e4) = e2+ | op(e4,e4) = e1+ | op(e4,e4) = e0 ),+ c_0_37,+ [final]).++cnf(c_0_105_106,plain,+ ( op(e4,e5) = e5+ | op(e4,e5) = e4+ | op(e4,e5) = e3+ | op(e4,e5) = e2+ | op(e4,e5) = e1+ | op(e4,e5) = e0 ),+ c_0_38,+ [final]).++cnf(c_0_106_107,plain,+ ( op(e5,e0) = e5+ | op(e5,e0) = e4+ | op(e5,e0) = e3+ | op(e5,e0) = e2+ | op(e5,e0) = e1+ | op(e5,e0) = e0 ),+ c_0_39,+ [final]).++cnf(c_0_107_108,plain,+ ( op(e5,e1) = e5+ | op(e5,e1) = e4+ | op(e5,e1) = e3+ | op(e5,e1) = e2+ | op(e5,e1) = e1+ | op(e5,e1) = e0 ),+ c_0_40,+ [final]).++cnf(c_0_108_109,plain,+ ( op(e5,e2) = e5+ | op(e5,e2) = e4+ | op(e5,e2) = e3+ | op(e5,e2) = e2+ | op(e5,e2) = e1+ | op(e5,e2) = e0 ),+ c_0_41,+ [final]).++cnf(c_0_109_110,plain,+ ( op(e5,e3) = e5+ | op(e5,e3) = e4+ | op(e5,e3) = e3+ | op(e5,e3) = e2+ | op(e5,e3) = e1+ | op(e5,e3) = e0 ),+ c_0_42,+ [final]).++cnf(c_0_110_111,plain,+ ( op(e5,e4) = e5+ | op(e5,e4) = e4+ | op(e5,e4) = e3+ | op(e5,e4) = e2+ | op(e5,e4) = e1+ | op(e5,e4) = e0 ),+ c_0_43,+ [final]).++cnf(c_0_111_112,plain,+ ( op(e5,e5) = e5+ | op(e5,e5) = e4+ | op(e5,e5) = e3+ | op(e5,e5) = e2+ | op(e5,e5) = e1+ | op(e5,e5) = e0 ),+ c_0_44,+ [final]).++cnf(c_0_112_113,plain,+ ( inv(e0) = e5+ | inv(e0) = e4+ | inv(e0) = e3+ | inv(e0) = e2+ | inv(e0) = e1+ | inv(e0) = e0 ),+ c_0_45,+ [final]).++cnf(c_0_113_114,plain,+ ( inv(e1) = e5+ | inv(e1) = e4+ | inv(e1) = e3+ | inv(e1) = e2+ | inv(e1) = e1+ | inv(e1) = e0 ),+ c_0_46,+ [final]).++cnf(c_0_114_115,plain,+ ( inv(e2) = e5+ | inv(e2) = e4+ | inv(e2) = e3+ | inv(e2) = e2+ | inv(e2) = e1+ | inv(e2) = e0 ),+ c_0_47,+ [final]).++cnf(c_0_115_116,plain,+ ( inv(e3) = e5+ | inv(e3) = e4+ | inv(e3) = e3+ | inv(e3) = e2+ | inv(e3) = e1+ | inv(e3) = e0 ),+ c_0_48,+ [final]).++cnf(c_0_116_117,plain,+ ( inv(e4) = e5+ | inv(e4) = e4+ | inv(e4) = e3+ | inv(e4) = e2+ | inv(e4) = e1+ | inv(e4) = e0 ),+ c_0_49,+ [final]).++cnf(c_0_117_118,plain,+ ( inv(e5) = e5+ | inv(e5) = e4+ | inv(e5) = e3+ | inv(e5) = e2+ | inv(e5) = e1+ | inv(e5) = e0 ),+ c_0_50,+ [final]).++cnf(c_0_118_119,plain,+ ( op(e0,inv(e0)) = unit ),+ c_0_51,+ [final]).++cnf(c_0_119_120,plain,+ ( op(inv(e0),e0) = unit ),+ c_0_52,+ [final]).++cnf(c_0_120_121,plain,+ ( op(e1,inv(e1)) = unit ),+ c_0_53,+ [final]).++cnf(c_0_121_122,plain,+ ( op(inv(e1),e1) = unit ),+ c_0_54,+ [final]).++cnf(c_0_122_123,plain,+ ( op(e2,inv(e2)) = unit ),+ c_0_55,+ [final]).++cnf(c_0_123_124,plain,+ ( op(inv(e2),e2) = unit ),+ c_0_56,+ [final]).++cnf(c_0_124_125,plain,+ ( op(e3,inv(e3)) = unit ),+ c_0_57,+ [final]).++cnf(c_0_125_126,plain,+ ( op(inv(e3),e3) = unit ),+ c_0_58,+ [final]).++cnf(c_0_126_127,plain,+ ( op(e4,inv(e4)) = unit ),+ c_0_59,+ [final]).++cnf(c_0_127_128,plain,+ ( op(inv(e4),e4) = unit ),+ c_0_60,+ [final]).++cnf(c_0_128_129,plain,+ ( op(e5,inv(e5)) = unit ),+ c_0_61,+ [final]).++cnf(c_0_129_130,plain,+ ( op(inv(e5),e5) = unit ),+ c_0_62,+ [final]).++cnf(c_0_130_131,plain,+ ( op(unit,e0) = e0 ),+ c_0_63,+ [final]).++cnf(c_0_131_132,plain,+ ( op(e0,unit) = e0 ),+ c_0_64,+ [final]).++cnf(c_0_132_133,plain,+ ( op(unit,e1) = e1 ),+ c_0_65,+ [final]).++cnf(c_0_133_134,plain,+ ( op(e1,unit) = e1 ),+ c_0_66,+ [final]).++cnf(c_0_134_135,plain,+ ( op(unit,e2) = e2 ),+ c_0_67,+ [final]).++cnf(c_0_135_136,plain,+ ( op(e2,unit) = e2 ),+ c_0_68,+ [final]).++cnf(c_0_136_137,plain,+ ( op(unit,e3) = e3 ),+ c_0_69,+ [final]).++cnf(c_0_137_138,plain,+ ( op(e3,unit) = e3 ),+ c_0_70,+ [final]).++cnf(c_0_138_139,plain,+ ( op(unit,e4) = e4 ),+ c_0_71,+ [final]).++cnf(c_0_139_140,plain,+ ( op(e4,unit) = e4 ),+ c_0_72,+ [final]).++cnf(c_0_140_141,plain,+ ( op(unit,e5) = e5 ),+ c_0_73,+ [final]).++cnf(c_0_141_142,plain,+ ( op(e5,unit) = e5 ),+ c_0_74,+ [final]).++cnf(c_0_142_143,plain,+ ( unit = e5+ | unit = e4+ | unit = e3+ | unit = e2+ | unit = e1+ | unit = e0 ),+ c_0_75,+ [final]).++% End CNF derivation+% Generating one_way clauses for all literals in the CNF.+cnf(c_0_76_0,axiom,+ ( op(e0,e0) = e5+ | op(e0,e0) = e4+ | op(e0,e0) = e3+ | op(e0,e0) = e2+ | op(e0,e0) = e1+ | op(e0,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_76])).++cnf(c_0_76_1,axiom,+ ( op(e0,e0) = e4+ | op(e0,e0) = e5+ | op(e0,e0) = e3+ | op(e0,e0) = e2+ | op(e0,e0) = e1+ | op(e0,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_76])).++cnf(c_0_76_2,axiom,+ ( op(e0,e0) = e3+ | op(e0,e0) = e4+ | op(e0,e0) = e5+ | op(e0,e0) = e2+ | op(e0,e0) = e1+ | op(e0,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_76])).++cnf(c_0_76_3,axiom,+ ( op(e0,e0) = e2+ | op(e0,e0) = e3+ | op(e0,e0) = e4+ | op(e0,e0) = e5+ | op(e0,e0) = e1+ | op(e0,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_76])).++cnf(c_0_76_4,axiom,+ ( op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3+ | op(e0,e0) = e4+ | op(e0,e0) = e5+ | op(e0,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_76])).++cnf(c_0_76_5,axiom,+ ( op(e0,e0) = e0+ | op(e0,e0) = e1+ | op(e0,e0) = e2+ | op(e0,e0) = e3+ | op(e0,e0) = e4+ | op(e0,e0) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_76])).++cnf(c_0_77_0,axiom,+ ( op(e0,e1) = e5+ | op(e0,e1) = e4+ | op(e0,e1) = e3+ | op(e0,e1) = e2+ | op(e0,e1) = e1+ | op(e0,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_77])).++cnf(c_0_77_1,axiom,+ ( op(e0,e1) = e4+ | op(e0,e1) = e5+ | op(e0,e1) = e3+ | op(e0,e1) = e2+ | op(e0,e1) = e1+ | op(e0,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_77])).++cnf(c_0_77_2,axiom,+ ( op(e0,e1) = e3+ | op(e0,e1) = e4+ | op(e0,e1) = e5+ | op(e0,e1) = e2+ | op(e0,e1) = e1+ | op(e0,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_77])).++cnf(c_0_77_3,axiom,+ ( op(e0,e1) = e2+ | op(e0,e1) = e3+ | op(e0,e1) = e4+ | op(e0,e1) = e5+ | op(e0,e1) = e1+ | op(e0,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_77])).++cnf(c_0_77_4,axiom,+ ( op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3+ | op(e0,e1) = e4+ | op(e0,e1) = e5+ | op(e0,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_77])).++cnf(c_0_77_5,axiom,+ ( op(e0,e1) = e0+ | op(e0,e1) = e1+ | op(e0,e1) = e2+ | op(e0,e1) = e3+ | op(e0,e1) = e4+ | op(e0,e1) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_77])).++cnf(c_0_78_0,axiom,+ ( op(e0,e2) = e5+ | op(e0,e2) = e4+ | op(e0,e2) = e3+ | op(e0,e2) = e2+ | op(e0,e2) = e1+ | op(e0,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_78])).++cnf(c_0_78_1,axiom,+ ( op(e0,e2) = e4+ | op(e0,e2) = e5+ | op(e0,e2) = e3+ | op(e0,e2) = e2+ | op(e0,e2) = e1+ | op(e0,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_78])).++cnf(c_0_78_2,axiom,+ ( op(e0,e2) = e3+ | op(e0,e2) = e4+ | op(e0,e2) = e5+ | op(e0,e2) = e2+ | op(e0,e2) = e1+ | op(e0,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_78])).++cnf(c_0_78_3,axiom,+ ( op(e0,e2) = e2+ | op(e0,e2) = e3+ | op(e0,e2) = e4+ | op(e0,e2) = e5+ | op(e0,e2) = e1+ | op(e0,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_78])).++cnf(c_0_78_4,axiom,+ ( op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3+ | op(e0,e2) = e4+ | op(e0,e2) = e5+ | op(e0,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_78])).++cnf(c_0_78_5,axiom,+ ( op(e0,e2) = e0+ | op(e0,e2) = e1+ | op(e0,e2) = e2+ | op(e0,e2) = e3+ | op(e0,e2) = e4+ | op(e0,e2) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_78])).++cnf(c_0_79_0,axiom,+ ( op(e0,e3) = e5+ | op(e0,e3) = e4+ | op(e0,e3) = e3+ | op(e0,e3) = e2+ | op(e0,e3) = e1+ | op(e0,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_79])).++cnf(c_0_79_1,axiom,+ ( op(e0,e3) = e4+ | op(e0,e3) = e5+ | op(e0,e3) = e3+ | op(e0,e3) = e2+ | op(e0,e3) = e1+ | op(e0,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_79])).++cnf(c_0_79_2,axiom,+ ( op(e0,e3) = e3+ | op(e0,e3) = e4+ | op(e0,e3) = e5+ | op(e0,e3) = e2+ | op(e0,e3) = e1+ | op(e0,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_79])).++cnf(c_0_79_3,axiom,+ ( op(e0,e3) = e2+ | op(e0,e3) = e3+ | op(e0,e3) = e4+ | op(e0,e3) = e5+ | op(e0,e3) = e1+ | op(e0,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_79])).++cnf(c_0_79_4,axiom,+ ( op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3+ | op(e0,e3) = e4+ | op(e0,e3) = e5+ | op(e0,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_79])).++cnf(c_0_79_5,axiom,+ ( op(e0,e3) = e0+ | op(e0,e3) = e1+ | op(e0,e3) = e2+ | op(e0,e3) = e3+ | op(e0,e3) = e4+ | op(e0,e3) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_79])).++cnf(c_0_80_0,axiom,+ ( op(e0,e4) = e5+ | op(e0,e4) = e4+ | op(e0,e4) = e3+ | op(e0,e4) = e2+ | op(e0,e4) = e1+ | op(e0,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_80])).++cnf(c_0_80_1,axiom,+ ( op(e0,e4) = e4+ | op(e0,e4) = e5+ | op(e0,e4) = e3+ | op(e0,e4) = e2+ | op(e0,e4) = e1+ | op(e0,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_80])).++cnf(c_0_80_2,axiom,+ ( op(e0,e4) = e3+ | op(e0,e4) = e4+ | op(e0,e4) = e5+ | op(e0,e4) = e2+ | op(e0,e4) = e1+ | op(e0,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_80])).++cnf(c_0_80_3,axiom,+ ( op(e0,e4) = e2+ | op(e0,e4) = e3+ | op(e0,e4) = e4+ | op(e0,e4) = e5+ | op(e0,e4) = e1+ | op(e0,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_80])).++cnf(c_0_80_4,axiom,+ ( op(e0,e4) = e1+ | op(e0,e4) = e2+ | op(e0,e4) = e3+ | op(e0,e4) = e4+ | op(e0,e4) = e5+ | op(e0,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_80])).++cnf(c_0_80_5,axiom,+ ( op(e0,e4) = e0+ | op(e0,e4) = e1+ | op(e0,e4) = e2+ | op(e0,e4) = e3+ | op(e0,e4) = e4+ | op(e0,e4) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_80])).++cnf(c_0_81_0,axiom,+ ( op(e0,e5) = e5+ | op(e0,e5) = e4+ | op(e0,e5) = e3+ | op(e0,e5) = e2+ | op(e0,e5) = e1+ | op(e0,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_81])).++cnf(c_0_81_1,axiom,+ ( op(e0,e5) = e4+ | op(e0,e5) = e5+ | op(e0,e5) = e3+ | op(e0,e5) = e2+ | op(e0,e5) = e1+ | op(e0,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_81])).++cnf(c_0_81_2,axiom,+ ( op(e0,e5) = e3+ | op(e0,e5) = e4+ | op(e0,e5) = e5+ | op(e0,e5) = e2+ | op(e0,e5) = e1+ | op(e0,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_81])).++cnf(c_0_81_3,axiom,+ ( op(e0,e5) = e2+ | op(e0,e5) = e3+ | op(e0,e5) = e4+ | op(e0,e5) = e5+ | op(e0,e5) = e1+ | op(e0,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_81])).++cnf(c_0_81_4,axiom,+ ( op(e0,e5) = e1+ | op(e0,e5) = e2+ | op(e0,e5) = e3+ | op(e0,e5) = e4+ | op(e0,e5) = e5+ | op(e0,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_81])).++cnf(c_0_81_5,axiom,+ ( op(e0,e5) = e0+ | op(e0,e5) = e1+ | op(e0,e5) = e2+ | op(e0,e5) = e3+ | op(e0,e5) = e4+ | op(e0,e5) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_81])).++cnf(c_0_82_0,axiom,+ ( op(e1,e0) = e5+ | op(e1,e0) = e4+ | op(e1,e0) = e3+ | op(e1,e0) = e2+ | op(e1,e0) = e1+ | op(e1,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_82])).++cnf(c_0_82_1,axiom,+ ( op(e1,e0) = e4+ | op(e1,e0) = e5+ | op(e1,e0) = e3+ | op(e1,e0) = e2+ | op(e1,e0) = e1+ | op(e1,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_82])).++cnf(c_0_82_2,axiom,+ ( op(e1,e0) = e3+ | op(e1,e0) = e4+ | op(e1,e0) = e5+ | op(e1,e0) = e2+ | op(e1,e0) = e1+ | op(e1,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_82])).++cnf(c_0_82_3,axiom,+ ( op(e1,e0) = e2+ | op(e1,e0) = e3+ | op(e1,e0) = e4+ | op(e1,e0) = e5+ | op(e1,e0) = e1+ | op(e1,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_82])).++cnf(c_0_82_4,axiom,+ ( op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3+ | op(e1,e0) = e4+ | op(e1,e0) = e5+ | op(e1,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_82])).++cnf(c_0_82_5,axiom,+ ( op(e1,e0) = e0+ | op(e1,e0) = e1+ | op(e1,e0) = e2+ | op(e1,e0) = e3+ | op(e1,e0) = e4+ | op(e1,e0) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_82])).++cnf(c_0_83_0,axiom,+ ( op(e1,e1) = e5+ | op(e1,e1) = e4+ | op(e1,e1) = e3+ | op(e1,e1) = e2+ | op(e1,e1) = e1+ | op(e1,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_83])).++cnf(c_0_83_1,axiom,+ ( op(e1,e1) = e4+ | op(e1,e1) = e5+ | op(e1,e1) = e3+ | op(e1,e1) = e2+ | op(e1,e1) = e1+ | op(e1,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_83])).++cnf(c_0_83_2,axiom,+ ( op(e1,e1) = e3+ | op(e1,e1) = e4+ | op(e1,e1) = e5+ | op(e1,e1) = e2+ | op(e1,e1) = e1+ | op(e1,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_83])).++cnf(c_0_83_3,axiom,+ ( op(e1,e1) = e2+ | op(e1,e1) = e3+ | op(e1,e1) = e4+ | op(e1,e1) = e5+ | op(e1,e1) = e1+ | op(e1,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_83])).++cnf(c_0_83_4,axiom,+ ( op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3+ | op(e1,e1) = e4+ | op(e1,e1) = e5+ | op(e1,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_83])).++cnf(c_0_83_5,axiom,+ ( op(e1,e1) = e0+ | op(e1,e1) = e1+ | op(e1,e1) = e2+ | op(e1,e1) = e3+ | op(e1,e1) = e4+ | op(e1,e1) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_83])).++cnf(c_0_84_0,axiom,+ ( op(e1,e2) = e5+ | op(e1,e2) = e4+ | op(e1,e2) = e3+ | op(e1,e2) = e2+ | op(e1,e2) = e1+ | op(e1,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_84])).++cnf(c_0_84_1,axiom,+ ( op(e1,e2) = e4+ | op(e1,e2) = e5+ | op(e1,e2) = e3+ | op(e1,e2) = e2+ | op(e1,e2) = e1+ | op(e1,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_84])).++cnf(c_0_84_2,axiom,+ ( op(e1,e2) = e3+ | op(e1,e2) = e4+ | op(e1,e2) = e5+ | op(e1,e2) = e2+ | op(e1,e2) = e1+ | op(e1,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_84])).++cnf(c_0_84_3,axiom,+ ( op(e1,e2) = e2+ | op(e1,e2) = e3+ | op(e1,e2) = e4+ | op(e1,e2) = e5+ | op(e1,e2) = e1+ | op(e1,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_84])).++cnf(c_0_84_4,axiom,+ ( op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3+ | op(e1,e2) = e4+ | op(e1,e2) = e5+ | op(e1,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_84])).++cnf(c_0_84_5,axiom,+ ( op(e1,e2) = e0+ | op(e1,e2) = e1+ | op(e1,e2) = e2+ | op(e1,e2) = e3+ | op(e1,e2) = e4+ | op(e1,e2) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_84])).++cnf(c_0_85_0,axiom,+ ( op(e1,e3) = e5+ | op(e1,e3) = e4+ | op(e1,e3) = e3+ | op(e1,e3) = e2+ | op(e1,e3) = e1+ | op(e1,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_85])).++cnf(c_0_85_1,axiom,+ ( op(e1,e3) = e4+ | op(e1,e3) = e5+ | op(e1,e3) = e3+ | op(e1,e3) = e2+ | op(e1,e3) = e1+ | op(e1,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_85])).++cnf(c_0_85_2,axiom,+ ( op(e1,e3) = e3+ | op(e1,e3) = e4+ | op(e1,e3) = e5+ | op(e1,e3) = e2+ | op(e1,e3) = e1+ | op(e1,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_85])).++cnf(c_0_85_3,axiom,+ ( op(e1,e3) = e2+ | op(e1,e3) = e3+ | op(e1,e3) = e4+ | op(e1,e3) = e5+ | op(e1,e3) = e1+ | op(e1,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_85])).++cnf(c_0_85_4,axiom,+ ( op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3+ | op(e1,e3) = e4+ | op(e1,e3) = e5+ | op(e1,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_85])).++cnf(c_0_85_5,axiom,+ ( op(e1,e3) = e0+ | op(e1,e3) = e1+ | op(e1,e3) = e2+ | op(e1,e3) = e3+ | op(e1,e3) = e4+ | op(e1,e3) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_85])).++cnf(c_0_86_0,axiom,+ ( op(e1,e4) = e5+ | op(e1,e4) = e4+ | op(e1,e4) = e3+ | op(e1,e4) = e2+ | op(e1,e4) = e1+ | op(e1,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_86])).++cnf(c_0_86_1,axiom,+ ( op(e1,e4) = e4+ | op(e1,e4) = e5+ | op(e1,e4) = e3+ | op(e1,e4) = e2+ | op(e1,e4) = e1+ | op(e1,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_86])).++cnf(c_0_86_2,axiom,+ ( op(e1,e4) = e3+ | op(e1,e4) = e4+ | op(e1,e4) = e5+ | op(e1,e4) = e2+ | op(e1,e4) = e1+ | op(e1,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_86])).++cnf(c_0_86_3,axiom,+ ( op(e1,e4) = e2+ | op(e1,e4) = e3+ | op(e1,e4) = e4+ | op(e1,e4) = e5+ | op(e1,e4) = e1+ | op(e1,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_86])).++cnf(c_0_86_4,axiom,+ ( op(e1,e4) = e1+ | op(e1,e4) = e2+ | op(e1,e4) = e3+ | op(e1,e4) = e4+ | op(e1,e4) = e5+ | op(e1,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_86])).++cnf(c_0_86_5,axiom,+ ( op(e1,e4) = e0+ | op(e1,e4) = e1+ | op(e1,e4) = e2+ | op(e1,e4) = e3+ | op(e1,e4) = e4+ | op(e1,e4) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_86])).++cnf(c_0_87_0,axiom,+ ( op(e1,e5) = e5+ | op(e1,e5) = e4+ | op(e1,e5) = e3+ | op(e1,e5) = e2+ | op(e1,e5) = e1+ | op(e1,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_87])).++cnf(c_0_87_1,axiom,+ ( op(e1,e5) = e4+ | op(e1,e5) = e5+ | op(e1,e5) = e3+ | op(e1,e5) = e2+ | op(e1,e5) = e1+ | op(e1,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_87])).++cnf(c_0_87_2,axiom,+ ( op(e1,e5) = e3+ | op(e1,e5) = e4+ | op(e1,e5) = e5+ | op(e1,e5) = e2+ | op(e1,e5) = e1+ | op(e1,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_87])).++cnf(c_0_87_3,axiom,+ ( op(e1,e5) = e2+ | op(e1,e5) = e3+ | op(e1,e5) = e4+ | op(e1,e5) = e5+ | op(e1,e5) = e1+ | op(e1,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_87])).++cnf(c_0_87_4,axiom,+ ( op(e1,e5) = e1+ | op(e1,e5) = e2+ | op(e1,e5) = e3+ | op(e1,e5) = e4+ | op(e1,e5) = e5+ | op(e1,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_87])).++cnf(c_0_87_5,axiom,+ ( op(e1,e5) = e0+ | op(e1,e5) = e1+ | op(e1,e5) = e2+ | op(e1,e5) = e3+ | op(e1,e5) = e4+ | op(e1,e5) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_87])).++cnf(c_0_88_0,axiom,+ ( op(e2,e0) = e5+ | op(e2,e0) = e4+ | op(e2,e0) = e3+ | op(e2,e0) = e2+ | op(e2,e0) = e1+ | op(e2,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_88])).++cnf(c_0_88_1,axiom,+ ( op(e2,e0) = e4+ | op(e2,e0) = e5+ | op(e2,e0) = e3+ | op(e2,e0) = e2+ | op(e2,e0) = e1+ | op(e2,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_88])).++cnf(c_0_88_2,axiom,+ ( op(e2,e0) = e3+ | op(e2,e0) = e4+ | op(e2,e0) = e5+ | op(e2,e0) = e2+ | op(e2,e0) = e1+ | op(e2,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_88])).++cnf(c_0_88_3,axiom,+ ( op(e2,e0) = e2+ | op(e2,e0) = e3+ | op(e2,e0) = e4+ | op(e2,e0) = e5+ | op(e2,e0) = e1+ | op(e2,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_88])).++cnf(c_0_88_4,axiom,+ ( op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3+ | op(e2,e0) = e4+ | op(e2,e0) = e5+ | op(e2,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_88])).++cnf(c_0_88_5,axiom,+ ( op(e2,e0) = e0+ | op(e2,e0) = e1+ | op(e2,e0) = e2+ | op(e2,e0) = e3+ | op(e2,e0) = e4+ | op(e2,e0) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_88])).++cnf(c_0_89_0,axiom,+ ( op(e2,e1) = e5+ | op(e2,e1) = e4+ | op(e2,e1) = e3+ | op(e2,e1) = e2+ | op(e2,e1) = e1+ | op(e2,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_89])).++cnf(c_0_89_1,axiom,+ ( op(e2,e1) = e4+ | op(e2,e1) = e5+ | op(e2,e1) = e3+ | op(e2,e1) = e2+ | op(e2,e1) = e1+ | op(e2,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_89])).++cnf(c_0_89_2,axiom,+ ( op(e2,e1) = e3+ | op(e2,e1) = e4+ | op(e2,e1) = e5+ | op(e2,e1) = e2+ | op(e2,e1) = e1+ | op(e2,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_89])).++cnf(c_0_89_3,axiom,+ ( op(e2,e1) = e2+ | op(e2,e1) = e3+ | op(e2,e1) = e4+ | op(e2,e1) = e5+ | op(e2,e1) = e1+ | op(e2,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_89])).++cnf(c_0_89_4,axiom,+ ( op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3+ | op(e2,e1) = e4+ | op(e2,e1) = e5+ | op(e2,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_89])).++cnf(c_0_89_5,axiom,+ ( op(e2,e1) = e0+ | op(e2,e1) = e1+ | op(e2,e1) = e2+ | op(e2,e1) = e3+ | op(e2,e1) = e4+ | op(e2,e1) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_89])).++cnf(c_0_90_0,axiom,+ ( op(e2,e2) = e5+ | op(e2,e2) = e4+ | op(e2,e2) = e3+ | op(e2,e2) = e2+ | op(e2,e2) = e1+ | op(e2,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_90])).++cnf(c_0_90_1,axiom,+ ( op(e2,e2) = e4+ | op(e2,e2) = e5+ | op(e2,e2) = e3+ | op(e2,e2) = e2+ | op(e2,e2) = e1+ | op(e2,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_90])).++cnf(c_0_90_2,axiom,+ ( op(e2,e2) = e3+ | op(e2,e2) = e4+ | op(e2,e2) = e5+ | op(e2,e2) = e2+ | op(e2,e2) = e1+ | op(e2,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_90])).++cnf(c_0_90_3,axiom,+ ( op(e2,e2) = e2+ | op(e2,e2) = e3+ | op(e2,e2) = e4+ | op(e2,e2) = e5+ | op(e2,e2) = e1+ | op(e2,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_90])).++cnf(c_0_90_4,axiom,+ ( op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3+ | op(e2,e2) = e4+ | op(e2,e2) = e5+ | op(e2,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_90])).++cnf(c_0_90_5,axiom,+ ( op(e2,e2) = e0+ | op(e2,e2) = e1+ | op(e2,e2) = e2+ | op(e2,e2) = e3+ | op(e2,e2) = e4+ | op(e2,e2) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_90])).++cnf(c_0_91_0,axiom,+ ( op(e2,e3) = e5+ | op(e2,e3) = e4+ | op(e2,e3) = e3+ | op(e2,e3) = e2+ | op(e2,e3) = e1+ | op(e2,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_91])).++cnf(c_0_91_1,axiom,+ ( op(e2,e3) = e4+ | op(e2,e3) = e5+ | op(e2,e3) = e3+ | op(e2,e3) = e2+ | op(e2,e3) = e1+ | op(e2,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_91])).++cnf(c_0_91_2,axiom,+ ( op(e2,e3) = e3+ | op(e2,e3) = e4+ | op(e2,e3) = e5+ | op(e2,e3) = e2+ | op(e2,e3) = e1+ | op(e2,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_91])).++cnf(c_0_91_3,axiom,+ ( op(e2,e3) = e2+ | op(e2,e3) = e3+ | op(e2,e3) = e4+ | op(e2,e3) = e5+ | op(e2,e3) = e1+ | op(e2,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_91])).++cnf(c_0_91_4,axiom,+ ( op(e2,e3) = e1+ | op(e2,e3) = e2+ | op(e2,e3) = e3+ | op(e2,e3) = e4+ | op(e2,e3) = e5+ | op(e2,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_91])).++cnf(c_0_91_5,axiom,+ ( op(e2,e3) = e0+ | op(e2,e3) = e1+ | op(e2,e3) = e2+ | op(e2,e3) = e3+ | op(e2,e3) = e4+ | op(e2,e3) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_91])).++cnf(c_0_92_0,axiom,+ ( op(e2,e4) = e5+ | op(e2,e4) = e4+ | op(e2,e4) = e3+ | op(e2,e4) = e2+ | op(e2,e4) = e1+ | op(e2,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_92])).++cnf(c_0_92_1,axiom,+ ( op(e2,e4) = e4+ | op(e2,e4) = e5+ | op(e2,e4) = e3+ | op(e2,e4) = e2+ | op(e2,e4) = e1+ | op(e2,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_92])).++cnf(c_0_92_2,axiom,+ ( op(e2,e4) = e3+ | op(e2,e4) = e4+ | op(e2,e4) = e5+ | op(e2,e4) = e2+ | op(e2,e4) = e1+ | op(e2,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_92])).++cnf(c_0_92_3,axiom,+ ( op(e2,e4) = e2+ | op(e2,e4) = e3+ | op(e2,e4) = e4+ | op(e2,e4) = e5+ | op(e2,e4) = e1+ | op(e2,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_92])).++cnf(c_0_92_4,axiom,+ ( op(e2,e4) = e1+ | op(e2,e4) = e2+ | op(e2,e4) = e3+ | op(e2,e4) = e4+ | op(e2,e4) = e5+ | op(e2,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_92])).++cnf(c_0_92_5,axiom,+ ( op(e2,e4) = e0+ | op(e2,e4) = e1+ | op(e2,e4) = e2+ | op(e2,e4) = e3+ | op(e2,e4) = e4+ | op(e2,e4) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_92])).++cnf(c_0_93_0,axiom,+ ( op(e2,e5) = e5+ | op(e2,e5) = e4+ | op(e2,e5) = e3+ | op(e2,e5) = e2+ | op(e2,e5) = e1+ | op(e2,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_93])).++cnf(c_0_93_1,axiom,+ ( op(e2,e5) = e4+ | op(e2,e5) = e5+ | op(e2,e5) = e3+ | op(e2,e5) = e2+ | op(e2,e5) = e1+ | op(e2,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_93])).++cnf(c_0_93_2,axiom,+ ( op(e2,e5) = e3+ | op(e2,e5) = e4+ | op(e2,e5) = e5+ | op(e2,e5) = e2+ | op(e2,e5) = e1+ | op(e2,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_93])).++cnf(c_0_93_3,axiom,+ ( op(e2,e5) = e2+ | op(e2,e5) = e3+ | op(e2,e5) = e4+ | op(e2,e5) = e5+ | op(e2,e5) = e1+ | op(e2,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_93])).++cnf(c_0_93_4,axiom,+ ( op(e2,e5) = e1+ | op(e2,e5) = e2+ | op(e2,e5) = e3+ | op(e2,e5) = e4+ | op(e2,e5) = e5+ | op(e2,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_93])).++cnf(c_0_93_5,axiom,+ ( op(e2,e5) = e0+ | op(e2,e5) = e1+ | op(e2,e5) = e2+ | op(e2,e5) = e3+ | op(e2,e5) = e4+ | op(e2,e5) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_93])).++cnf(c_0_94_0,axiom,+ ( op(e3,e0) = e5+ | op(e3,e0) = e4+ | op(e3,e0) = e3+ | op(e3,e0) = e2+ | op(e3,e0) = e1+ | op(e3,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_94])).++cnf(c_0_94_1,axiom,+ ( op(e3,e0) = e4+ | op(e3,e0) = e5+ | op(e3,e0) = e3+ | op(e3,e0) = e2+ | op(e3,e0) = e1+ | op(e3,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_94])).++cnf(c_0_94_2,axiom,+ ( op(e3,e0) = e3+ | op(e3,e0) = e4+ | op(e3,e0) = e5+ | op(e3,e0) = e2+ | op(e3,e0) = e1+ | op(e3,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_94])).++cnf(c_0_94_3,axiom,+ ( op(e3,e0) = e2+ | op(e3,e0) = e3+ | op(e3,e0) = e4+ | op(e3,e0) = e5+ | op(e3,e0) = e1+ | op(e3,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_94])).++cnf(c_0_94_4,axiom,+ ( op(e3,e0) = e1+ | op(e3,e0) = e2+ | op(e3,e0) = e3+ | op(e3,e0) = e4+ | op(e3,e0) = e5+ | op(e3,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_94])).++cnf(c_0_94_5,axiom,+ ( op(e3,e0) = e0+ | op(e3,e0) = e1+ | op(e3,e0) = e2+ | op(e3,e0) = e3+ | op(e3,e0) = e4+ | op(e3,e0) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_94])).++cnf(c_0_95_0,axiom,+ ( op(e3,e1) = e5+ | op(e3,e1) = e4+ | op(e3,e1) = e3+ | op(e3,e1) = e2+ | op(e3,e1) = e1+ | op(e3,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_95])).++cnf(c_0_95_1,axiom,+ ( op(e3,e1) = e4+ | op(e3,e1) = e5+ | op(e3,e1) = e3+ | op(e3,e1) = e2+ | op(e3,e1) = e1+ | op(e3,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_95])).++cnf(c_0_95_2,axiom,+ ( op(e3,e1) = e3+ | op(e3,e1) = e4+ | op(e3,e1) = e5+ | op(e3,e1) = e2+ | op(e3,e1) = e1+ | op(e3,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_95])).++cnf(c_0_95_3,axiom,+ ( op(e3,e1) = e2+ | op(e3,e1) = e3+ | op(e3,e1) = e4+ | op(e3,e1) = e5+ | op(e3,e1) = e1+ | op(e3,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_95])).++cnf(c_0_95_4,axiom,+ ( op(e3,e1) = e1+ | op(e3,e1) = e2+ | op(e3,e1) = e3+ | op(e3,e1) = e4+ | op(e3,e1) = e5+ | op(e3,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_95])).++cnf(c_0_95_5,axiom,+ ( op(e3,e1) = e0+ | op(e3,e1) = e1+ | op(e3,e1) = e2+ | op(e3,e1) = e3+ | op(e3,e1) = e4+ | op(e3,e1) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_95])).++cnf(c_0_96_0,axiom,+ ( op(e3,e2) = e5+ | op(e3,e2) = e4+ | op(e3,e2) = e3+ | op(e3,e2) = e2+ | op(e3,e2) = e1+ | op(e3,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_96])).++cnf(c_0_96_1,axiom,+ ( op(e3,e2) = e4+ | op(e3,e2) = e5+ | op(e3,e2) = e3+ | op(e3,e2) = e2+ | op(e3,e2) = e1+ | op(e3,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_96])).++cnf(c_0_96_2,axiom,+ ( op(e3,e2) = e3+ | op(e3,e2) = e4+ | op(e3,e2) = e5+ | op(e3,e2) = e2+ | op(e3,e2) = e1+ | op(e3,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_96])).++cnf(c_0_96_3,axiom,+ ( op(e3,e2) = e2+ | op(e3,e2) = e3+ | op(e3,e2) = e4+ | op(e3,e2) = e5+ | op(e3,e2) = e1+ | op(e3,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_96])).++cnf(c_0_96_4,axiom,+ ( op(e3,e2) = e1+ | op(e3,e2) = e2+ | op(e3,e2) = e3+ | op(e3,e2) = e4+ | op(e3,e2) = e5+ | op(e3,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_96])).++cnf(c_0_96_5,axiom,+ ( op(e3,e2) = e0+ | op(e3,e2) = e1+ | op(e3,e2) = e2+ | op(e3,e2) = e3+ | op(e3,e2) = e4+ | op(e3,e2) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_96])).++cnf(c_0_97_0,axiom,+ ( op(e3,e3) = e5+ | op(e3,e3) = e4+ | op(e3,e3) = e3+ | op(e3,e3) = e2+ | op(e3,e3) = e1+ | op(e3,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_97])).++cnf(c_0_97_1,axiom,+ ( op(e3,e3) = e4+ | op(e3,e3) = e5+ | op(e3,e3) = e3+ | op(e3,e3) = e2+ | op(e3,e3) = e1+ | op(e3,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_97])).++cnf(c_0_97_2,axiom,+ ( op(e3,e3) = e3+ | op(e3,e3) = e4+ | op(e3,e3) = e5+ | op(e3,e3) = e2+ | op(e3,e3) = e1+ | op(e3,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_97])).++cnf(c_0_97_3,axiom,+ ( op(e3,e3) = e2+ | op(e3,e3) = e3+ | op(e3,e3) = e4+ | op(e3,e3) = e5+ | op(e3,e3) = e1+ | op(e3,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_97])).++cnf(c_0_97_4,axiom,+ ( op(e3,e3) = e1+ | op(e3,e3) = e2+ | op(e3,e3) = e3+ | op(e3,e3) = e4+ | op(e3,e3) = e5+ | op(e3,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_97])).++cnf(c_0_97_5,axiom,+ ( op(e3,e3) = e0+ | op(e3,e3) = e1+ | op(e3,e3) = e2+ | op(e3,e3) = e3+ | op(e3,e3) = e4+ | op(e3,e3) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_97])).++cnf(c_0_98_0,axiom,+ ( op(e3,e4) = e5+ | op(e3,e4) = e4+ | op(e3,e4) = e3+ | op(e3,e4) = e2+ | op(e3,e4) = e1+ | op(e3,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_98])).++cnf(c_0_98_1,axiom,+ ( op(e3,e4) = e4+ | op(e3,e4) = e5+ | op(e3,e4) = e3+ | op(e3,e4) = e2+ | op(e3,e4) = e1+ | op(e3,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_98])).++cnf(c_0_98_2,axiom,+ ( op(e3,e4) = e3+ | op(e3,e4) = e4+ | op(e3,e4) = e5+ | op(e3,e4) = e2+ | op(e3,e4) = e1+ | op(e3,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_98])).++cnf(c_0_98_3,axiom,+ ( op(e3,e4) = e2+ | op(e3,e4) = e3+ | op(e3,e4) = e4+ | op(e3,e4) = e5+ | op(e3,e4) = e1+ | op(e3,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_98])).++cnf(c_0_98_4,axiom,+ ( op(e3,e4) = e1+ | op(e3,e4) = e2+ | op(e3,e4) = e3+ | op(e3,e4) = e4+ | op(e3,e4) = e5+ | op(e3,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_98])).++cnf(c_0_98_5,axiom,+ ( op(e3,e4) = e0+ | op(e3,e4) = e1+ | op(e3,e4) = e2+ | op(e3,e4) = e3+ | op(e3,e4) = e4+ | op(e3,e4) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_98])).++cnf(c_0_99_0,axiom,+ ( op(e3,e5) = e5+ | op(e3,e5) = e4+ | op(e3,e5) = e3+ | op(e3,e5) = e2+ | op(e3,e5) = e1+ | op(e3,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_99])).++cnf(c_0_99_1,axiom,+ ( op(e3,e5) = e4+ | op(e3,e5) = e5+ | op(e3,e5) = e3+ | op(e3,e5) = e2+ | op(e3,e5) = e1+ | op(e3,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_99])).++cnf(c_0_99_2,axiom,+ ( op(e3,e5) = e3+ | op(e3,e5) = e4+ | op(e3,e5) = e5+ | op(e3,e5) = e2+ | op(e3,e5) = e1+ | op(e3,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_99])).++cnf(c_0_99_3,axiom,+ ( op(e3,e5) = e2+ | op(e3,e5) = e3+ | op(e3,e5) = e4+ | op(e3,e5) = e5+ | op(e3,e5) = e1+ | op(e3,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_99])).++cnf(c_0_99_4,axiom,+ ( op(e3,e5) = e1+ | op(e3,e5) = e2+ | op(e3,e5) = e3+ | op(e3,e5) = e4+ | op(e3,e5) = e5+ | op(e3,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_99])).++cnf(c_0_99_5,axiom,+ ( op(e3,e5) = e0+ | op(e3,e5) = e1+ | op(e3,e5) = e2+ | op(e3,e5) = e3+ | op(e3,e5) = e4+ | op(e3,e5) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_99])).++cnf(c_0_100_0,axiom,+ ( op(e4,e0) = e5+ | op(e4,e0) = e4+ | op(e4,e0) = e3+ | op(e4,e0) = e2+ | op(e4,e0) = e1+ | op(e4,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_100])).++cnf(c_0_100_1,axiom,+ ( op(e4,e0) = e4+ | op(e4,e0) = e5+ | op(e4,e0) = e3+ | op(e4,e0) = e2+ | op(e4,e0) = e1+ | op(e4,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_100])).++cnf(c_0_100_2,axiom,+ ( op(e4,e0) = e3+ | op(e4,e0) = e4+ | op(e4,e0) = e5+ | op(e4,e0) = e2+ | op(e4,e0) = e1+ | op(e4,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_100])).++cnf(c_0_100_3,axiom,+ ( op(e4,e0) = e2+ | op(e4,e0) = e3+ | op(e4,e0) = e4+ | op(e4,e0) = e5+ | op(e4,e0) = e1+ | op(e4,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_100])).++cnf(c_0_100_4,axiom,+ ( op(e4,e0) = e1+ | op(e4,e0) = e2+ | op(e4,e0) = e3+ | op(e4,e0) = e4+ | op(e4,e0) = e5+ | op(e4,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_100])).++cnf(c_0_100_5,axiom,+ ( op(e4,e0) = e0+ | op(e4,e0) = e1+ | op(e4,e0) = e2+ | op(e4,e0) = e3+ | op(e4,e0) = e4+ | op(e4,e0) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_100])).++cnf(c_0_101_0,axiom,+ ( op(e4,e1) = e5+ | op(e4,e1) = e4+ | op(e4,e1) = e3+ | op(e4,e1) = e2+ | op(e4,e1) = e1+ | op(e4,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_101])).++cnf(c_0_101_1,axiom,+ ( op(e4,e1) = e4+ | op(e4,e1) = e5+ | op(e4,e1) = e3+ | op(e4,e1) = e2+ | op(e4,e1) = e1+ | op(e4,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_101])).++cnf(c_0_101_2,axiom,+ ( op(e4,e1) = e3+ | op(e4,e1) = e4+ | op(e4,e1) = e5+ | op(e4,e1) = e2+ | op(e4,e1) = e1+ | op(e4,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_101])).++cnf(c_0_101_3,axiom,+ ( op(e4,e1) = e2+ | op(e4,e1) = e3+ | op(e4,e1) = e4+ | op(e4,e1) = e5+ | op(e4,e1) = e1+ | op(e4,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_101])).++cnf(c_0_101_4,axiom,+ ( op(e4,e1) = e1+ | op(e4,e1) = e2+ | op(e4,e1) = e3+ | op(e4,e1) = e4+ | op(e4,e1) = e5+ | op(e4,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_101])).++cnf(c_0_101_5,axiom,+ ( op(e4,e1) = e0+ | op(e4,e1) = e1+ | op(e4,e1) = e2+ | op(e4,e1) = e3+ | op(e4,e1) = e4+ | op(e4,e1) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_101])).++cnf(c_0_102_0,axiom,+ ( op(e4,e2) = e5+ | op(e4,e2) = e4+ | op(e4,e2) = e3+ | op(e4,e2) = e2+ | op(e4,e2) = e1+ | op(e4,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_102])).++cnf(c_0_102_1,axiom,+ ( op(e4,e2) = e4+ | op(e4,e2) = e5+ | op(e4,e2) = e3+ | op(e4,e2) = e2+ | op(e4,e2) = e1+ | op(e4,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_102])).++cnf(c_0_102_2,axiom,+ ( op(e4,e2) = e3+ | op(e4,e2) = e4+ | op(e4,e2) = e5+ | op(e4,e2) = e2+ | op(e4,e2) = e1+ | op(e4,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_102])).++cnf(c_0_102_3,axiom,+ ( op(e4,e2) = e2+ | op(e4,e2) = e3+ | op(e4,e2) = e4+ | op(e4,e2) = e5+ | op(e4,e2) = e1+ | op(e4,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_102])).++cnf(c_0_102_4,axiom,+ ( op(e4,e2) = e1+ | op(e4,e2) = e2+ | op(e4,e2) = e3+ | op(e4,e2) = e4+ | op(e4,e2) = e5+ | op(e4,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_102])).++cnf(c_0_102_5,axiom,+ ( op(e4,e2) = e0+ | op(e4,e2) = e1+ | op(e4,e2) = e2+ | op(e4,e2) = e3+ | op(e4,e2) = e4+ | op(e4,e2) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_102])).++cnf(c_0_103_0,axiom,+ ( op(e4,e3) = e5+ | op(e4,e3) = e4+ | op(e4,e3) = e3+ | op(e4,e3) = e2+ | op(e4,e3) = e1+ | op(e4,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_103])).++cnf(c_0_103_1,axiom,+ ( op(e4,e3) = e4+ | op(e4,e3) = e5+ | op(e4,e3) = e3+ | op(e4,e3) = e2+ | op(e4,e3) = e1+ | op(e4,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_103])).++cnf(c_0_103_2,axiom,+ ( op(e4,e3) = e3+ | op(e4,e3) = e4+ | op(e4,e3) = e5+ | op(e4,e3) = e2+ | op(e4,e3) = e1+ | op(e4,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_103])).++cnf(c_0_103_3,axiom,+ ( op(e4,e3) = e2+ | op(e4,e3) = e3+ | op(e4,e3) = e4+ | op(e4,e3) = e5+ | op(e4,e3) = e1+ | op(e4,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_103])).++cnf(c_0_103_4,axiom,+ ( op(e4,e3) = e1+ | op(e4,e3) = e2+ | op(e4,e3) = e3+ | op(e4,e3) = e4+ | op(e4,e3) = e5+ | op(e4,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_103])).++cnf(c_0_103_5,axiom,+ ( op(e4,e3) = e0+ | op(e4,e3) = e1+ | op(e4,e3) = e2+ | op(e4,e3) = e3+ | op(e4,e3) = e4+ | op(e4,e3) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_103])).++cnf(c_0_104_0,axiom,+ ( op(e4,e4) = e5+ | op(e4,e4) = e4+ | op(e4,e4) = e3+ | op(e4,e4) = e2+ | op(e4,e4) = e1+ | op(e4,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_104])).++cnf(c_0_104_1,axiom,+ ( op(e4,e4) = e4+ | op(e4,e4) = e5+ | op(e4,e4) = e3+ | op(e4,e4) = e2+ | op(e4,e4) = e1+ | op(e4,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_104])).++cnf(c_0_104_2,axiom,+ ( op(e4,e4) = e3+ | op(e4,e4) = e4+ | op(e4,e4) = e5+ | op(e4,e4) = e2+ | op(e4,e4) = e1+ | op(e4,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_104])).++cnf(c_0_104_3,axiom,+ ( op(e4,e4) = e2+ | op(e4,e4) = e3+ | op(e4,e4) = e4+ | op(e4,e4) = e5+ | op(e4,e4) = e1+ | op(e4,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_104])).++cnf(c_0_104_4,axiom,+ ( op(e4,e4) = e1+ | op(e4,e4) = e2+ | op(e4,e4) = e3+ | op(e4,e4) = e4+ | op(e4,e4) = e5+ | op(e4,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_104])).++cnf(c_0_104_5,axiom,+ ( op(e4,e4) = e0+ | op(e4,e4) = e1+ | op(e4,e4) = e2+ | op(e4,e4) = e3+ | op(e4,e4) = e4+ | op(e4,e4) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_104])).++cnf(c_0_105_0,axiom,+ ( op(e4,e5) = e5+ | op(e4,e5) = e4+ | op(e4,e5) = e3+ | op(e4,e5) = e2+ | op(e4,e5) = e1+ | op(e4,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_105])).++cnf(c_0_105_1,axiom,+ ( op(e4,e5) = e4+ | op(e4,e5) = e5+ | op(e4,e5) = e3+ | op(e4,e5) = e2+ | op(e4,e5) = e1+ | op(e4,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_105])).++cnf(c_0_105_2,axiom,+ ( op(e4,e5) = e3+ | op(e4,e5) = e4+ | op(e4,e5) = e5+ | op(e4,e5) = e2+ | op(e4,e5) = e1+ | op(e4,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_105])).++cnf(c_0_105_3,axiom,+ ( op(e4,e5) = e2+ | op(e4,e5) = e3+ | op(e4,e5) = e4+ | op(e4,e5) = e5+ | op(e4,e5) = e1+ | op(e4,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_105])).++cnf(c_0_105_4,axiom,+ ( op(e4,e5) = e1+ | op(e4,e5) = e2+ | op(e4,e5) = e3+ | op(e4,e5) = e4+ | op(e4,e5) = e5+ | op(e4,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_105])).++cnf(c_0_105_5,axiom,+ ( op(e4,e5) = e0+ | op(e4,e5) = e1+ | op(e4,e5) = e2+ | op(e4,e5) = e3+ | op(e4,e5) = e4+ | op(e4,e5) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_105])).++cnf(c_0_106_0,axiom,+ ( op(e5,e0) = e5+ | op(e5,e0) = e4+ | op(e5,e0) = e3+ | op(e5,e0) = e2+ | op(e5,e0) = e1+ | op(e5,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_106])).++cnf(c_0_106_1,axiom,+ ( op(e5,e0) = e4+ | op(e5,e0) = e5+ | op(e5,e0) = e3+ | op(e5,e0) = e2+ | op(e5,e0) = e1+ | op(e5,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_106])).++cnf(c_0_106_2,axiom,+ ( op(e5,e0) = e3+ | op(e5,e0) = e4+ | op(e5,e0) = e5+ | op(e5,e0) = e2+ | op(e5,e0) = e1+ | op(e5,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_106])).++cnf(c_0_106_3,axiom,+ ( op(e5,e0) = e2+ | op(e5,e0) = e3+ | op(e5,e0) = e4+ | op(e5,e0) = e5+ | op(e5,e0) = e1+ | op(e5,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_106])).++cnf(c_0_106_4,axiom,+ ( op(e5,e0) = e1+ | op(e5,e0) = e2+ | op(e5,e0) = e3+ | op(e5,e0) = e4+ | op(e5,e0) = e5+ | op(e5,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_106])).++cnf(c_0_106_5,axiom,+ ( op(e5,e0) = e0+ | op(e5,e0) = e1+ | op(e5,e0) = e2+ | op(e5,e0) = e3+ | op(e5,e0) = e4+ | op(e5,e0) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_106])).++cnf(c_0_107_0,axiom,+ ( op(e5,e1) = e5+ | op(e5,e1) = e4+ | op(e5,e1) = e3+ | op(e5,e1) = e2+ | op(e5,e1) = e1+ | op(e5,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_107])).++cnf(c_0_107_1,axiom,+ ( op(e5,e1) = e4+ | op(e5,e1) = e5+ | op(e5,e1) = e3+ | op(e5,e1) = e2+ | op(e5,e1) = e1+ | op(e5,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_107])).++cnf(c_0_107_2,axiom,+ ( op(e5,e1) = e3+ | op(e5,e1) = e4+ | op(e5,e1) = e5+ | op(e5,e1) = e2+ | op(e5,e1) = e1+ | op(e5,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_107])).++cnf(c_0_107_3,axiom,+ ( op(e5,e1) = e2+ | op(e5,e1) = e3+ | op(e5,e1) = e4+ | op(e5,e1) = e5+ | op(e5,e1) = e1+ | op(e5,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_107])).++cnf(c_0_107_4,axiom,+ ( op(e5,e1) = e1+ | op(e5,e1) = e2+ | op(e5,e1) = e3+ | op(e5,e1) = e4+ | op(e5,e1) = e5+ | op(e5,e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_107])).++cnf(c_0_107_5,axiom,+ ( op(e5,e1) = e0+ | op(e5,e1) = e1+ | op(e5,e1) = e2+ | op(e5,e1) = e3+ | op(e5,e1) = e4+ | op(e5,e1) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_107])).++cnf(c_0_108_0,axiom,+ ( op(e5,e2) = e5+ | op(e5,e2) = e4+ | op(e5,e2) = e3+ | op(e5,e2) = e2+ | op(e5,e2) = e1+ | op(e5,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_108])).++cnf(c_0_108_1,axiom,+ ( op(e5,e2) = e4+ | op(e5,e2) = e5+ | op(e5,e2) = e3+ | op(e5,e2) = e2+ | op(e5,e2) = e1+ | op(e5,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_108])).++cnf(c_0_108_2,axiom,+ ( op(e5,e2) = e3+ | op(e5,e2) = e4+ | op(e5,e2) = e5+ | op(e5,e2) = e2+ | op(e5,e2) = e1+ | op(e5,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_108])).++cnf(c_0_108_3,axiom,+ ( op(e5,e2) = e2+ | op(e5,e2) = e3+ | op(e5,e2) = e4+ | op(e5,e2) = e5+ | op(e5,e2) = e1+ | op(e5,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_108])).++cnf(c_0_108_4,axiom,+ ( op(e5,e2) = e1+ | op(e5,e2) = e2+ | op(e5,e2) = e3+ | op(e5,e2) = e4+ | op(e5,e2) = e5+ | op(e5,e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_108])).++cnf(c_0_108_5,axiom,+ ( op(e5,e2) = e0+ | op(e5,e2) = e1+ | op(e5,e2) = e2+ | op(e5,e2) = e3+ | op(e5,e2) = e4+ | op(e5,e2) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_108])).++cnf(c_0_109_0,axiom,+ ( op(e5,e3) = e5+ | op(e5,e3) = e4+ | op(e5,e3) = e3+ | op(e5,e3) = e2+ | op(e5,e3) = e1+ | op(e5,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_109])).++cnf(c_0_109_1,axiom,+ ( op(e5,e3) = e4+ | op(e5,e3) = e5+ | op(e5,e3) = e3+ | op(e5,e3) = e2+ | op(e5,e3) = e1+ | op(e5,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_109])).++cnf(c_0_109_2,axiom,+ ( op(e5,e3) = e3+ | op(e5,e3) = e4+ | op(e5,e3) = e5+ | op(e5,e3) = e2+ | op(e5,e3) = e1+ | op(e5,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_109])).++cnf(c_0_109_3,axiom,+ ( op(e5,e3) = e2+ | op(e5,e3) = e3+ | op(e5,e3) = e4+ | op(e5,e3) = e5+ | op(e5,e3) = e1+ | op(e5,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_109])).++cnf(c_0_109_4,axiom,+ ( op(e5,e3) = e1+ | op(e5,e3) = e2+ | op(e5,e3) = e3+ | op(e5,e3) = e4+ | op(e5,e3) = e5+ | op(e5,e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_109])).++cnf(c_0_109_5,axiom,+ ( op(e5,e3) = e0+ | op(e5,e3) = e1+ | op(e5,e3) = e2+ | op(e5,e3) = e3+ | op(e5,e3) = e4+ | op(e5,e3) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_109])).++cnf(c_0_110_0,axiom,+ ( op(e5,e4) = e5+ | op(e5,e4) = e4+ | op(e5,e4) = e3+ | op(e5,e4) = e2+ | op(e5,e4) = e1+ | op(e5,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_110])).++cnf(c_0_110_1,axiom,+ ( op(e5,e4) = e4+ | op(e5,e4) = e5+ | op(e5,e4) = e3+ | op(e5,e4) = e2+ | op(e5,e4) = e1+ | op(e5,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_110])).++cnf(c_0_110_2,axiom,+ ( op(e5,e4) = e3+ | op(e5,e4) = e4+ | op(e5,e4) = e5+ | op(e5,e4) = e2+ | op(e5,e4) = e1+ | op(e5,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_110])).++cnf(c_0_110_3,axiom,+ ( op(e5,e4) = e2+ | op(e5,e4) = e3+ | op(e5,e4) = e4+ | op(e5,e4) = e5+ | op(e5,e4) = e1+ | op(e5,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_110])).++cnf(c_0_110_4,axiom,+ ( op(e5,e4) = e1+ | op(e5,e4) = e2+ | op(e5,e4) = e3+ | op(e5,e4) = e4+ | op(e5,e4) = e5+ | op(e5,e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_110])).++cnf(c_0_110_5,axiom,+ ( op(e5,e4) = e0+ | op(e5,e4) = e1+ | op(e5,e4) = e2+ | op(e5,e4) = e3+ | op(e5,e4) = e4+ | op(e5,e4) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_110])).++cnf(c_0_111_0,axiom,+ ( op(e5,e5) = e5+ | op(e5,e5) = e4+ | op(e5,e5) = e3+ | op(e5,e5) = e2+ | op(e5,e5) = e1+ | op(e5,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_111])).++cnf(c_0_111_1,axiom,+ ( op(e5,e5) = e4+ | op(e5,e5) = e5+ | op(e5,e5) = e3+ | op(e5,e5) = e2+ | op(e5,e5) = e1+ | op(e5,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_111])).++cnf(c_0_111_2,axiom,+ ( op(e5,e5) = e3+ | op(e5,e5) = e4+ | op(e5,e5) = e5+ | op(e5,e5) = e2+ | op(e5,e5) = e1+ | op(e5,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_111])).++cnf(c_0_111_3,axiom,+ ( op(e5,e5) = e2+ | op(e5,e5) = e3+ | op(e5,e5) = e4+ | op(e5,e5) = e5+ | op(e5,e5) = e1+ | op(e5,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_111])).++cnf(c_0_111_4,axiom,+ ( op(e5,e5) = e1+ | op(e5,e5) = e2+ | op(e5,e5) = e3+ | op(e5,e5) = e4+ | op(e5,e5) = e5+ | op(e5,e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_111])).++cnf(c_0_111_5,axiom,+ ( op(e5,e5) = e0+ | op(e5,e5) = e1+ | op(e5,e5) = e2+ | op(e5,e5) = e3+ | op(e5,e5) = e4+ | op(e5,e5) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_111])).++cnf(c_0_112_0,axiom,+ ( inv(e0) = e5+ | inv(e0) = e4+ | inv(e0) = e3+ | inv(e0) = e2+ | inv(e0) = e1+ | inv(e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_112])).++cnf(c_0_112_1,axiom,+ ( inv(e0) = e4+ | inv(e0) = e5+ | inv(e0) = e3+ | inv(e0) = e2+ | inv(e0) = e1+ | inv(e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_112])).++cnf(c_0_112_2,axiom,+ ( inv(e0) = e3+ | inv(e0) = e4+ | inv(e0) = e5+ | inv(e0) = e2+ | inv(e0) = e1+ | inv(e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_112])).++cnf(c_0_112_3,axiom,+ ( inv(e0) = e2+ | inv(e0) = e3+ | inv(e0) = e4+ | inv(e0) = e5+ | inv(e0) = e1+ | inv(e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_112])).++cnf(c_0_112_4,axiom,+ ( inv(e0) = e1+ | inv(e0) = e2+ | inv(e0) = e3+ | inv(e0) = e4+ | inv(e0) = e5+ | inv(e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_112])).++cnf(c_0_112_5,axiom,+ ( inv(e0) = e0+ | inv(e0) = e1+ | inv(e0) = e2+ | inv(e0) = e3+ | inv(e0) = e4+ | inv(e0) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_112])).++cnf(c_0_113_0,axiom,+ ( inv(e1) = e5+ | inv(e1) = e4+ | inv(e1) = e3+ | inv(e1) = e2+ | inv(e1) = e1+ | inv(e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_113])).++cnf(c_0_113_1,axiom,+ ( inv(e1) = e4+ | inv(e1) = e5+ | inv(e1) = e3+ | inv(e1) = e2+ | inv(e1) = e1+ | inv(e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_113])).++cnf(c_0_113_2,axiom,+ ( inv(e1) = e3+ | inv(e1) = e4+ | inv(e1) = e5+ | inv(e1) = e2+ | inv(e1) = e1+ | inv(e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_113])).++cnf(c_0_113_3,axiom,+ ( inv(e1) = e2+ | inv(e1) = e3+ | inv(e1) = e4+ | inv(e1) = e5+ | inv(e1) = e1+ | inv(e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_113])).++cnf(c_0_113_4,axiom,+ ( inv(e1) = e1+ | inv(e1) = e2+ | inv(e1) = e3+ | inv(e1) = e4+ | inv(e1) = e5+ | inv(e1) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_113])).++cnf(c_0_113_5,axiom,+ ( inv(e1) = e0+ | inv(e1) = e1+ | inv(e1) = e2+ | inv(e1) = e3+ | inv(e1) = e4+ | inv(e1) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_113])).++cnf(c_0_114_0,axiom,+ ( inv(e2) = e5+ | inv(e2) = e4+ | inv(e2) = e3+ | inv(e2) = e2+ | inv(e2) = e1+ | inv(e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_114])).++cnf(c_0_114_1,axiom,+ ( inv(e2) = e4+ | inv(e2) = e5+ | inv(e2) = e3+ | inv(e2) = e2+ | inv(e2) = e1+ | inv(e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_114])).++cnf(c_0_114_2,axiom,+ ( inv(e2) = e3+ | inv(e2) = e4+ | inv(e2) = e5+ | inv(e2) = e2+ | inv(e2) = e1+ | inv(e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_114])).++cnf(c_0_114_3,axiom,+ ( inv(e2) = e2+ | inv(e2) = e3+ | inv(e2) = e4+ | inv(e2) = e5+ | inv(e2) = e1+ | inv(e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_114])).++cnf(c_0_114_4,axiom,+ ( inv(e2) = e1+ | inv(e2) = e2+ | inv(e2) = e3+ | inv(e2) = e4+ | inv(e2) = e5+ | inv(e2) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_114])).++cnf(c_0_114_5,axiom,+ ( inv(e2) = e0+ | inv(e2) = e1+ | inv(e2) = e2+ | inv(e2) = e3+ | inv(e2) = e4+ | inv(e2) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_114])).++cnf(c_0_115_0,axiom,+ ( inv(e3) = e5+ | inv(e3) = e4+ | inv(e3) = e3+ | inv(e3) = e2+ | inv(e3) = e1+ | inv(e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_115])).++cnf(c_0_115_1,axiom,+ ( inv(e3) = e4+ | inv(e3) = e5+ | inv(e3) = e3+ | inv(e3) = e2+ | inv(e3) = e1+ | inv(e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_115])).++cnf(c_0_115_2,axiom,+ ( inv(e3) = e3+ | inv(e3) = e4+ | inv(e3) = e5+ | inv(e3) = e2+ | inv(e3) = e1+ | inv(e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_115])).++cnf(c_0_115_3,axiom,+ ( inv(e3) = e2+ | inv(e3) = e3+ | inv(e3) = e4+ | inv(e3) = e5+ | inv(e3) = e1+ | inv(e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_115])).++cnf(c_0_115_4,axiom,+ ( inv(e3) = e1+ | inv(e3) = e2+ | inv(e3) = e3+ | inv(e3) = e4+ | inv(e3) = e5+ | inv(e3) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_115])).++cnf(c_0_115_5,axiom,+ ( inv(e3) = e0+ | inv(e3) = e1+ | inv(e3) = e2+ | inv(e3) = e3+ | inv(e3) = e4+ | inv(e3) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_115])).++cnf(c_0_116_0,axiom,+ ( inv(e4) = e5+ | inv(e4) = e4+ | inv(e4) = e3+ | inv(e4) = e2+ | inv(e4) = e1+ | inv(e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_116])).++cnf(c_0_116_1,axiom,+ ( inv(e4) = e4+ | inv(e4) = e5+ | inv(e4) = e3+ | inv(e4) = e2+ | inv(e4) = e1+ | inv(e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_116])).++cnf(c_0_116_2,axiom,+ ( inv(e4) = e3+ | inv(e4) = e4+ | inv(e4) = e5+ | inv(e4) = e2+ | inv(e4) = e1+ | inv(e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_116])).++cnf(c_0_116_3,axiom,+ ( inv(e4) = e2+ | inv(e4) = e3+ | inv(e4) = e4+ | inv(e4) = e5+ | inv(e4) = e1+ | inv(e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_116])).++cnf(c_0_116_4,axiom,+ ( inv(e4) = e1+ | inv(e4) = e2+ | inv(e4) = e3+ | inv(e4) = e4+ | inv(e4) = e5+ | inv(e4) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_116])).++cnf(c_0_116_5,axiom,+ ( inv(e4) = e0+ | inv(e4) = e1+ | inv(e4) = e2+ | inv(e4) = e3+ | inv(e4) = e4+ | inv(e4) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_116])).++cnf(c_0_117_0,axiom,+ ( inv(e5) = e5+ | inv(e5) = e4+ | inv(e5) = e3+ | inv(e5) = e2+ | inv(e5) = e1+ | inv(e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_117])).++cnf(c_0_117_1,axiom,+ ( inv(e5) = e4+ | inv(e5) = e5+ | inv(e5) = e3+ | inv(e5) = e2+ | inv(e5) = e1+ | inv(e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_117])).++cnf(c_0_117_2,axiom,+ ( inv(e5) = e3+ | inv(e5) = e4+ | inv(e5) = e5+ | inv(e5) = e2+ | inv(e5) = e1+ | inv(e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_117])).++cnf(c_0_117_3,axiom,+ ( inv(e5) = e2+ | inv(e5) = e3+ | inv(e5) = e4+ | inv(e5) = e5+ | inv(e5) = e1+ | inv(e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_117])).++cnf(c_0_117_4,axiom,+ ( inv(e5) = e1+ | inv(e5) = e2+ | inv(e5) = e3+ | inv(e5) = e4+ | inv(e5) = e5+ | inv(e5) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_117])).++cnf(c_0_117_5,axiom,+ ( inv(e5) = e0+ | inv(e5) = e1+ | inv(e5) = e2+ | inv(e5) = e3+ | inv(e5) = e4+ | inv(e5) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_117])).++cnf(c_0_142_0,axiom,+ ( unit = e5+ | unit = e4+ | unit = e3+ | unit = e2+ | unit = e1+ | unit = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_142])).++cnf(c_0_142_1,axiom,+ ( unit = e4+ | unit = e5+ | unit = e3+ | unit = e2+ | unit = e1+ | unit = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_142])).++cnf(c_0_142_2,axiom,+ ( unit = e3+ | unit = e4+ | unit = e5+ | unit = e2+ | unit = e1+ | unit = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_142])).++cnf(c_0_142_3,axiom,+ ( unit = e2+ | unit = e3+ | unit = e4+ | unit = e5+ | unit = e1+ | unit = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_142])).++cnf(c_0_142_4,axiom,+ ( unit = e1+ | unit = e2+ | unit = e3+ | unit = e4+ | unit = e5+ | unit = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_142])).++cnf(c_0_142_5,axiom,+ ( unit = e0+ | unit = e1+ | unit = e2+ | unit = e3+ | unit = e4+ | unit = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_142])).++cnf(c_0_118_0,axiom,+ ( op(e0,inv(e0)) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_118])).++cnf(c_0_119_0,axiom,+ ( op(inv(e0),e0) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_119])).++cnf(c_0_120_0,axiom,+ ( op(e1,inv(e1)) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_120])).++cnf(c_0_121_0,axiom,+ ( op(inv(e1),e1) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_121])).++cnf(c_0_122_0,axiom,+ ( op(e2,inv(e2)) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_122])).++cnf(c_0_123_0,axiom,+ ( op(inv(e2),e2) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_123])).++cnf(c_0_124_0,axiom,+ ( op(e3,inv(e3)) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_124])).++cnf(c_0_125_0,axiom,+ ( op(inv(e3),e3) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_125])).++cnf(c_0_126_0,axiom,+ ( op(e4,inv(e4)) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_126])).++cnf(c_0_127_0,axiom,+ ( op(inv(e4),e4) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_127])).++cnf(c_0_128_0,axiom,+ ( op(e5,inv(e5)) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_128])).++cnf(c_0_129_0,axiom,+ ( op(inv(e5),e5) = unit ),+ inference(literals_permutation,[status(thm)],[c_0_129])).++cnf(c_0_130_0,axiom,+ ( op(unit,e0) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_130])).++cnf(c_0_131_0,axiom,+ ( op(e0,unit) = e0 ),+ inference(literals_permutation,[status(thm)],[c_0_131])).++cnf(c_0_132_0,axiom,+ ( op(unit,e1) = e1 ),+ inference(literals_permutation,[status(thm)],[c_0_132])).++cnf(c_0_133_0,axiom,+ ( op(e1,unit) = e1 ),+ inference(literals_permutation,[status(thm)],[c_0_133])).++cnf(c_0_134_0,axiom,+ ( op(unit,e2) = e2 ),+ inference(literals_permutation,[status(thm)],[c_0_134])).++cnf(c_0_135_0,axiom,+ ( op(e2,unit) = e2 ),+ inference(literals_permutation,[status(thm)],[c_0_135])).++cnf(c_0_136_0,axiom,+ ( op(unit,e3) = e3 ),+ inference(literals_permutation,[status(thm)],[c_0_136])).++cnf(c_0_137_0,axiom,+ ( op(e3,unit) = e3 ),+ inference(literals_permutation,[status(thm)],[c_0_137])).++cnf(c_0_138_0,axiom,+ ( op(unit,e4) = e4 ),+ inference(literals_permutation,[status(thm)],[c_0_138])).++cnf(c_0_139_0,axiom,+ ( op(e4,unit) = e4 ),+ inference(literals_permutation,[status(thm)],[c_0_139])).++cnf(c_0_140_0,axiom,+ ( op(unit,e5) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_140])).++cnf(c_0_141_0,axiom,+ ( op(e5,unit) = e5 ),+ inference(literals_permutation,[status(thm)],[c_0_141])).++% CNF of non-axioms+% Start CNF derivation+fof(c_0_0_144,conjecture,(+ ~ ( op(e0,e0) = op(e0,e0)+ & op(e0,e1) = op(e1,e0)+ & op(e0,e2) = op(e2,e0)+ & op(e0,e3) = op(e3,e0)+ & op(e0,e4) = op(e4,e0)+ & op(e0,e5) = op(e5,e0)+ & op(e1,e0) = op(e0,e1)+ & op(e1,e1) = op(e1,e1)+ & op(e1,e2) = op(e2,e1)+ & op(e1,e3) = op(e3,e1)+ & op(e1,e4) = op(e4,e1)+ & op(e1,e5) = op(e5,e1)+ & op(e2,e0) = op(e0,e2)+ & op(e2,e1) = op(e1,e2)+ & op(e2,e2) = op(e2,e2)+ & op(e2,e3) = op(e3,e2)+ & op(e2,e4) = op(e4,e2)+ & op(e2,e5) = op(e5,e2)+ & op(e3,e0) = op(e0,e3)+ & op(e3,e1) = op(e1,e3)+ & op(e3,e2) = op(e2,e3)+ & op(e3,e3) = op(e3,e3)+ & op(e3,e4) = op(e4,e3)+ & op(e3,e5) = op(e5,e3)+ & op(e4,e0) = op(e0,e4)+ & op(e4,e1) = op(e1,e4)+ & op(e4,e2) = op(e2,e4)+ & op(e4,e3) = op(e3,e4)+ & op(e4,e4) = op(e4,e4)+ & op(e4,e5) = op(e5,e4)+ & op(e5,e0) = op(e0,e5)+ & op(e5,e1) = op(e1,e5)+ & op(e5,e2) = op(e2,e5)+ & op(e5,e3) = op(e3,e5)+ & op(e5,e4) = op(e4,e5)+ & op(e5,e5) = op(e5,e5)+ & ~ ( op(e0,e0) = op(e0,e0)+ & op(e0,e1) = op(e1,e0)+ & op(e0,e2) = op(e2,e0)+ & op(e0,e3) = op(e3,e0)+ & op(e0,e4) = op(e4,e0)+ & op(e0,e5) = op(e5,e0)+ & op(e1,e0) = op(e0,e1)+ & op(e1,e1) = op(e1,e1)+ & op(e1,e2) = op(e2,e1)+ & op(e1,e3) = op(e3,e1)+ & op(e1,e4) = op(e4,e1)+ & op(e1,e5) = op(e5,e1)+ & op(e2,e0) = op(e0,e2)+ & op(e2,e1) = op(e1,e2)+ & op(e2,e2) = op(e2,e2)+ & op(e2,e3) = op(e3,e2)+ & op(e2,e4) = op(e4,e2)+ & op(e2,e5) = op(e5,e2)+ & op(e3,e0) = op(e0,e3)+ & op(e3,e1) = op(e1,e3)+ & op(e3,e2) = op(e2,e3)+ & op(e3,e3) = op(e3,e3)+ & op(e3,e4) = op(e4,e3)+ & op(e3,e5) = op(e5,e3)+ & op(e4,e0) = op(e0,e4)+ & op(e4,e1) = op(e1,e4)+ & op(e4,e2) = op(e2,e4)+ & op(e4,e3) = op(e3,e4)+ & op(e4,e4) = op(e4,e4)+ & op(e4,e5) = op(e5,e4)+ & op(e5,e0) = op(e0,e5)+ & op(e5,e1) = op(e1,e5)+ & op(e5,e2) = op(e2,e5)+ & op(e5,e3) = op(e3,e5)+ & op(e5,e4) = op(e4,e5)+ & op(e5,e5) = op(e5,e5) ) ) ),+ file('<stdin>',co1)).++fof(c_0_1_145,negated_conjecture,(+ ~ ~ ( op(e0,e0) = op(e0,e0)+ & op(e0,e1) = op(e1,e0)+ & op(e0,e2) = op(e2,e0)+ & op(e0,e3) = op(e3,e0)+ & op(e0,e4) = op(e4,e0)+ & op(e0,e5) = op(e5,e0)+ & op(e1,e0) = op(e0,e1)+ & op(e1,e1) = op(e1,e1)+ & op(e1,e2) = op(e2,e1)+ & op(e1,e3) = op(e3,e1)+ & op(e1,e4) = op(e4,e1)+ & op(e1,e5) = op(e5,e1)+ & op(e2,e0) = op(e0,e2)+ & op(e2,e1) = op(e1,e2)+ & op(e2,e2) = op(e2,e2)+ & op(e2,e3) = op(e3,e2)+ & op(e2,e4) = op(e4,e2)+ & op(e2,e5) = op(e5,e2)+ & op(e3,e0) = op(e0,e3)+ & op(e3,e1) = op(e1,e3)+ & op(e3,e2) = op(e2,e3)+ & op(e3,e3) = op(e3,e3)+ & op(e3,e4) = op(e4,e3)+ & op(e3,e5) = op(e5,e3)+ & op(e4,e0) = op(e0,e4)+ & op(e4,e1) = op(e1,e4)+ & op(e4,e2) = op(e2,e4)+ & op(e4,e3) = op(e3,e4)+ & op(e4,e4) = op(e4,e4)+ & op(e4,e5) = op(e5,e4)+ & op(e5,e0) = op(e0,e5)+ & op(e5,e1) = op(e1,e5)+ & op(e5,e2) = op(e2,e5)+ & op(e5,e3) = op(e3,e5)+ & op(e5,e4) = op(e4,e5)+ & op(e5,e5) = op(e5,e5)+ & ~ ( op(e0,e0) = op(e0,e0)+ & op(e0,e1) = op(e1,e0)+ & op(e0,e2) = op(e2,e0)+ & op(e0,e3) = op(e3,e0)+ & op(e0,e4) = op(e4,e0)+ & op(e0,e5) = op(e5,e0)+ & op(e1,e0) = op(e0,e1)+ & op(e1,e1) = op(e1,e1)+ & op(e1,e2) = op(e2,e1)+ & op(e1,e3) = op(e3,e1)+ & op(e1,e4) = op(e4,e1)+ & op(e1,e5) = op(e5,e1)+ & op(e2,e0) = op(e0,e2)+ & op(e2,e1) = op(e1,e2)+ & op(e2,e2) = op(e2,e2)+ & op(e2,e3) = op(e3,e2)+ & op(e2,e4) = op(e4,e2)+ & op(e2,e5) = op(e5,e2)+ & op(e3,e0) = op(e0,e3)+ & op(e3,e1) = op(e1,e3)+ & op(e3,e2) = op(e2,e3)+ & op(e3,e3) = op(e3,e3)+ & op(e3,e4) = op(e4,e3)+ & op(e3,e5) = op(e5,e3)+ & op(e4,e0) = op(e0,e4)+ & op(e4,e1) = op(e1,e4)+ & op(e4,e2) = op(e2,e4)+ & op(e4,e3) = op(e3,e4)+ & op(e4,e4) = op(e4,e4)+ & op(e4,e5) = op(e5,e4)+ & op(e5,e0) = op(e0,e5)+ & op(e5,e1) = op(e1,e5)+ & op(e5,e2) = op(e2,e5)+ & op(e5,e3) = op(e3,e5)+ & op(e5,e4) = op(e4,e5)+ & op(e5,e5) = op(e5,e5) ) ) ),+ inference(assume_negation,[status(cth)],[c_0_0])).++fof(c_0_2_146,negated_conjecture,+ ( op(e0,e0) = op(e0,e0)+ & op(e0,e1) = op(e1,e0)+ & op(e0,e2) = op(e2,e0)+ & op(e0,e3) = op(e3,e0)+ & op(e0,e4) = op(e4,e0)+ & op(e0,e5) = op(e5,e0)+ & op(e1,e0) = op(e0,e1)+ & op(e1,e1) = op(e1,e1)+ & op(e1,e2) = op(e2,e1)+ & op(e1,e3) = op(e3,e1)+ & op(e1,e4) = op(e4,e1)+ & op(e1,e5) = op(e5,e1)+ & op(e2,e0) = op(e0,e2)+ & op(e2,e1) = op(e1,e2)+ & op(e2,e2) = op(e2,e2)+ & op(e2,e3) = op(e3,e2)+ & op(e2,e4) = op(e4,e2)+ & op(e2,e5) = op(e5,e2)+ & op(e3,e0) = op(e0,e3)+ & op(e3,e1) = op(e1,e3)+ & op(e3,e2) = op(e2,e3)+ & op(e3,e3) = op(e3,e3)+ & op(e3,e4) = op(e4,e3)+ & op(e3,e5) = op(e5,e3)+ & op(e4,e0) = op(e0,e4)+ & op(e4,e1) = op(e1,e4)+ & op(e4,e2) = op(e2,e4)+ & op(e4,e3) = op(e3,e4)+ & op(e4,e4) = op(e4,e4)+ & op(e4,e5) = op(e5,e4)+ & op(e5,e0) = op(e0,e5)+ & op(e5,e1) = op(e1,e5)+ & op(e5,e2) = op(e2,e5)+ & op(e5,e3) = op(e3,e5)+ & op(e5,e4) = op(e4,e5)+ & op(e5,e5) = op(e5,e5)+ & ( op(e0,e0) != op(e0,e0)+ | op(e0,e1) != op(e1,e0)+ | op(e0,e2) != op(e2,e0)+ | op(e0,e3) != op(e3,e0)+ | op(e0,e4) != op(e4,e0)+ | op(e0,e5) != op(e5,e0)+ | op(e1,e0) != op(e0,e1)+ | op(e1,e1) != op(e1,e1)+ | op(e1,e2) != op(e2,e1)+ | op(e1,e3) != op(e3,e1)+ | op(e1,e4) != op(e4,e1)+ | op(e1,e5) != op(e5,e1)+ | op(e2,e0) != op(e0,e2)+ | op(e2,e1) != op(e1,e2)+ | op(e2,e2) != op(e2,e2)+ | op(e2,e3) != op(e3,e2)+ | op(e2,e4) != op(e4,e2)+ | op(e2,e5) != op(e5,e2)+ | op(e3,e0) != op(e0,e3)+ | op(e3,e1) != op(e1,e3)+ | op(e3,e2) != op(e2,e3)+ | op(e3,e3) != op(e3,e3)+ | op(e3,e4) != op(e4,e3)+ | op(e3,e5) != op(e5,e3)+ | op(e4,e0) != op(e0,e4)+ | op(e4,e1) != op(e1,e4)+ | op(e4,e2) != op(e2,e4)+ | op(e4,e3) != op(e3,e4)+ | op(e4,e4) != op(e4,e4)+ | op(e4,e5) != op(e5,e4)+ | op(e5,e0) != op(e0,e5)+ | op(e5,e1) != op(e1,e5)+ | op(e5,e2) != op(e2,e5)+ | op(e5,e3) != op(e3,e5)+ | op(e5,e4) != op(e4,e5)+ | op(e5,e5) != op(e5,e5) ) ),+ inference(fof_nnf,[status(thm)],[c_0_1])).++cnf(c_0_3_147,negated_conjecture,+ ( $false+ | op(e5,e4) != op(e4,e5)+ | op(e5,e3) != op(e3,e5)+ | op(e5,e2) != op(e2,e5)+ | op(e5,e1) != op(e1,e5)+ | op(e5,e0) != op(e0,e5)+ | op(e4,e5) != op(e5,e4)+ | $false+ | op(e4,e3) != op(e3,e4)+ | op(e4,e2) != op(e2,e4)+ | op(e4,e1) != op(e1,e4)+ | op(e4,e0) != op(e0,e4)+ | op(e3,e5) != op(e5,e3)+ | op(e3,e4) != op(e4,e3)+ | $false+ | op(e3,e2) != op(e2,e3)+ | op(e3,e1) != op(e1,e3)+ | op(e3,e0) != op(e0,e3)+ | op(e2,e5) != op(e5,e2)+ | op(e2,e4) != op(e4,e2)+ | op(e2,e3) != op(e3,e2)+ | $false+ | op(e2,e1) != op(e1,e2)+ | op(e2,e0) != op(e0,e2)+ | op(e1,e5) != op(e5,e1)+ | op(e1,e4) != op(e4,e1)+ | op(e1,e3) != op(e3,e1)+ | op(e1,e2) != op(e2,e1)+ | $false+ | op(e1,e0) != op(e0,e1)+ | op(e0,e5) != op(e5,e0)+ | op(e0,e4) != op(e4,e0)+ | op(e0,e3) != op(e3,e0)+ | op(e0,e2) != op(e2,e0)+ | op(e0,e1) != op(e1,e0)+ | $false ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_4_148,negated_conjecture,+ ( op(e0,e0) = op(e0,e0) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_5_149,negated_conjecture,+ ( op(e0,e1) = op(e1,e0) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_6_150,negated_conjecture,+ ( op(e0,e2) = op(e2,e0) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_7_151,negated_conjecture,+ ( op(e0,e3) = op(e3,e0) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_8_152,negated_conjecture,+ ( op(e0,e4) = op(e4,e0) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_9_153,negated_conjecture,+ ( op(e0,e5) = op(e5,e0) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_10_154,negated_conjecture,+ ( op(e1,e0) = op(e0,e1) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_11_155,negated_conjecture,+ ( op(e1,e1) = op(e1,e1) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_12_156,negated_conjecture,+ ( op(e1,e2) = op(e2,e1) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_13_157,negated_conjecture,+ ( op(e1,e3) = op(e3,e1) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_14_158,negated_conjecture,+ ( op(e1,e4) = op(e4,e1) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_15_159,negated_conjecture,+ ( op(e1,e5) = op(e5,e1) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_16_160,negated_conjecture,+ ( op(e2,e0) = op(e0,e2) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_17_161,negated_conjecture,+ ( op(e2,e1) = op(e1,e2) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_18_162,negated_conjecture,+ ( op(e2,e2) = op(e2,e2) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_19_163,negated_conjecture,+ ( op(e2,e3) = op(e3,e2) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_20_164,negated_conjecture,+ ( op(e2,e4) = op(e4,e2) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_21_165,negated_conjecture,+ ( op(e2,e5) = op(e5,e2) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_22_166,negated_conjecture,+ ( op(e3,e0) = op(e0,e3) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_23_167,negated_conjecture,+ ( op(e3,e1) = op(e1,e3) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_24_168,negated_conjecture,+ ( op(e3,e2) = op(e2,e3) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_25_169,negated_conjecture,+ ( op(e3,e3) = op(e3,e3) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_26_170,negated_conjecture,+ ( op(e3,e4) = op(e4,e3) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_27_171,negated_conjecture,+ ( op(e3,e5) = op(e5,e3) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_28_172,negated_conjecture,+ ( op(e4,e0) = op(e0,e4) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_29_173,negated_conjecture,+ ( op(e4,e1) = op(e1,e4) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_30_174,negated_conjecture,+ ( op(e4,e2) = op(e2,e4) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_31_175,negated_conjecture,+ ( op(e4,e3) = op(e3,e4) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_32_176,negated_conjecture,+ ( op(e4,e4) = op(e4,e4) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_33_177,negated_conjecture,+ ( op(e4,e5) = op(e5,e4) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_34_178,negated_conjecture,+ ( op(e5,e0) = op(e0,e5) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_35_179,negated_conjecture,+ ( op(e5,e1) = op(e1,e5) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_36_180,negated_conjecture,+ ( op(e5,e2) = op(e2,e5) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_37_181,negated_conjecture,+ ( op(e5,e3) = op(e3,e5) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_38_182,negated_conjecture,+ ( op(e5,e4) = op(e4,e5) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_39_183,negated_conjecture,+ ( op(e5,e5) = op(e5,e5) ),+ inference(split_conjunct,[status(thm)],[c_0_2])).++cnf(c_0_40_184,negated_conjecture,+ ( $false+ | op(e4,e5) != op(e5,e4)+ | op(e3,e5) != op(e5,e3)+ | op(e2,e5) != op(e5,e2)+ | op(e1,e5) != op(e5,e1)+ | op(e0,e5) != op(e5,e0)+ | op(e4,e5) != op(e5,e4)+ | $false+ | op(e3,e4) != op(e4,e3)+ | op(e2,e4) != op(e4,e2)+ | op(e1,e4) != op(e4,e1)+ | op(e0,e4) != op(e4,e0)+ | op(e3,e5) != op(e5,e3)+ | op(e3,e4) != op(e4,e3)+ | $false+ | op(e2,e3) != op(e3,e2)+ | op(e1,e3) != op(e3,e1)+ | op(e0,e3) != op(e3,e0)+ | op(e2,e5) != op(e5,e2)+ | op(e2,e4) != op(e4,e2)+ | op(e2,e3) != op(e3,e2)+ | $false+ | op(e1,e2) != op(e2,e1)+ | op(e0,e2) != op(e2,e0)+ | op(e1,e5) != op(e5,e1)+ | op(e1,e4) != op(e4,e1)+ | op(e1,e3) != op(e3,e1)+ | op(e1,e2) != op(e2,e1)+ | $false+ | op(e0,e1) != op(e1,e0)+ | op(e0,e5) != op(e5,e0)+ | op(e0,e4) != op(e4,e0)+ | op(e0,e3) != op(e3,e0)+ | op(e0,e2) != op(e2,e0)+ | op(e0,e1) != op(e1,e0)+ | $false ),+ c_0_3,+ [final]).++cnf(c_0_41_185,negated_conjecture,+ ( op(e0,e0) = op(e0,e0) ),+ c_0_4,+ [final]).++cnf(c_0_42_186,negated_conjecture,+ ( op(e0,e1) = op(e1,e0) ),+ c_0_5,+ [final]).++cnf(c_0_43_187,negated_conjecture,+ ( op(e0,e2) = op(e2,e0) ),+ c_0_6,+ [final]).++cnf(c_0_44_188,negated_conjecture,+ ( op(e0,e3) = op(e3,e0) ),+ c_0_7,+ [final]).++cnf(c_0_45_189,negated_conjecture,+ ( op(e0,e4) = op(e4,e0) ),+ c_0_8,+ [final]).++cnf(c_0_46_190,negated_conjecture,+ ( op(e0,e5) = op(e5,e0) ),+ c_0_9,+ [final]).++cnf(c_0_47_191,negated_conjecture,+ ( op(e0,e1) = op(e1,e0) ),+ c_0_10,+ [final]).++cnf(c_0_48_192,negated_conjecture,+ ( op(e1,e1) = op(e1,e1) ),+ c_0_11,+ [final]).++cnf(c_0_49_193,negated_conjecture,+ ( op(e1,e2) = op(e2,e1) ),+ c_0_12,+ [final]).++cnf(c_0_50_194,negated_conjecture,+ ( op(e1,e3) = op(e3,e1) ),+ c_0_13,+ [final]).++cnf(c_0_51_195,negated_conjecture,+ ( op(e1,e4) = op(e4,e1) ),+ c_0_14,+ [final]).++cnf(c_0_52_196,negated_conjecture,+ ( op(e1,e5) = op(e5,e1) ),+ c_0_15,+ [final]).++cnf(c_0_53_197,negated_conjecture,+ ( op(e0,e2) = op(e2,e0) ),+ c_0_16,+ [final]).++cnf(c_0_54_198,negated_conjecture,+ ( op(e1,e2) = op(e2,e1) ),+ c_0_17,+ [final]).++cnf(c_0_55_199,negated_conjecture,+ ( op(e2,e2) = op(e2,e2) ),+ c_0_18,+ [final]).++cnf(c_0_56_200,negated_conjecture,+ ( op(e2,e3) = op(e3,e2) ),+ c_0_19,+ [final]).++cnf(c_0_57_201,negated_conjecture,+ ( op(e2,e4) = op(e4,e2) ),+ c_0_20,+ [final]).++cnf(c_0_58_202,negated_conjecture,+ ( op(e2,e5) = op(e5,e2) ),+ c_0_21,+ [final]).++cnf(c_0_59_203,negated_conjecture,+ ( op(e0,e3) = op(e3,e0) ),+ c_0_22,+ [final]).++cnf(c_0_60_204,negated_conjecture,+ ( op(e1,e3) = op(e3,e1) ),+ c_0_23,+ [final]).++cnf(c_0_61_205,negated_conjecture,+ ( op(e2,e3) = op(e3,e2) ),+ c_0_24,+ [final]).++cnf(c_0_62_206,negated_conjecture,+ ( op(e3,e3) = op(e3,e3) ),+ c_0_25,+ [final]).++cnf(c_0_63_207,negated_conjecture,+ ( op(e3,e4) = op(e4,e3) ),+ c_0_26,+ [final]).++cnf(c_0_64_208,negated_conjecture,+ ( op(e3,e5) = op(e5,e3) ),+ c_0_27,+ [final]).++cnf(c_0_65_209,negated_conjecture,+ ( op(e0,e4) = op(e4,e0) ),+ c_0_28,+ [final]).++cnf(c_0_66_210,negated_conjecture,+ ( op(e1,e4) = op(e4,e1) ),+ c_0_29,+ [final]).++cnf(c_0_67_211,negated_conjecture,+ ( op(e2,e4) = op(e4,e2) ),+ c_0_30,+ [final]).++cnf(c_0_68_212,negated_conjecture,+ ( op(e3,e4) = op(e4,e3) ),+ c_0_31,+ [final]).++cnf(c_0_69_213,negated_conjecture,+ ( op(e4,e4) = op(e4,e4) ),+ c_0_32,+ [final]).++cnf(c_0_70_214,negated_conjecture,+ ( op(e4,e5) = op(e5,e4) ),+ c_0_33,+ [final]).++cnf(c_0_71_215,negated_conjecture,+ ( op(e0,e5) = op(e5,e0) ),+ c_0_34,+ [final]).++cnf(c_0_72_216,negated_conjecture,+ ( op(e1,e5) = op(e5,e1) ),+ c_0_35,+ [final]).++cnf(c_0_73_217,negated_conjecture,+ ( op(e2,e5) = op(e5,e2) ),+ c_0_36,+ [final]).++cnf(c_0_74_218,negated_conjecture,+ ( op(e3,e5) = op(e5,e3) ),+ c_0_37,+ [final]).++cnf(c_0_75_219,negated_conjecture,+ ( op(e4,e5) = op(e5,e4) ),+ c_0_38,+ [final]).++cnf(c_0_76_220,negated_conjecture,+ ( op(e5,e5) = op(e5,e5) ),+ c_0_39,+ [final]).++% End CNF derivation++%-------------------------------------------------------------+% Proof by iprover++cnf(c_756,negated_conjecture,+ ( op(e0,e5) != op(e5,e0)+ | op(e0,e4) != op(e4,e0)+ | op(e0,e3) != op(e3,e0)+ | op(e0,e2) != op(e2,e0)+ | op(e0,e1) != op(e1,e0)+ | op(e4,e5) != op(e5,e4)+ | op(e3,e5) != op(e5,e3)+ | op(e3,e4) != op(e4,e3)+ | op(e2,e5) != op(e5,e2)+ | op(e2,e4) != op(e4,e2)+ | op(e2,e3) != op(e3,e2)+ | op(e1,e5) != op(e5,e1)+ | op(e1,e4) != op(e4,e1)+ | op(e1,e3) != op(e3,e1)+ | op(e1,e2) != op(e2,e1) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_40)).++cnf(c_763,negated_conjecture,+ ( op(e0,e1) = op(e1,e0) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_47)).++cnf(c_769,negated_conjecture,+ ( op(e0,e2) = op(e2,e0) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_53)).++cnf(c_770,negated_conjecture,+ ( op(e1,e2) = op(e2,e1) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_54)).++cnf(c_775,negated_conjecture,+ ( op(e0,e3) = op(e3,e0) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_59)).++cnf(c_776,negated_conjecture,+ ( op(e1,e3) = op(e3,e1) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_60)).++cnf(c_777,negated_conjecture,+ ( op(e2,e3) = op(e3,e2) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_61)).++cnf(c_781,negated_conjecture,+ ( op(e0,e4) = op(e4,e0) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_65)).++cnf(c_782,negated_conjecture,+ ( op(e1,e4) = op(e4,e1) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_66)).++cnf(c_783,negated_conjecture,+ ( op(e2,e4) = op(e4,e2) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_67)).++cnf(c_784,negated_conjecture,+ ( op(e3,e4) = op(e4,e3) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_68)).++cnf(c_787,negated_conjecture,+ ( op(e0,e5) = op(e5,e0) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_71)).++cnf(c_788,negated_conjecture,+ ( op(e1,e5) = op(e5,e1) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_72)).++cnf(c_789,negated_conjecture,+ ( op(e2,e5) = op(e5,e2) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_73)).++cnf(c_790,negated_conjecture,+ ( op(e3,e5) = op(e5,e3) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_74)).++cnf(c_791,negated_conjecture,+ ( op(e4,e5) = op(e5,e4) ),+ file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p',c_0_75)).++cnf(contradiction,plain,+ ( $false ),+ inference(minisat,[status(thm)],[c_756,c_763,c_769,c_770,c_775,c_776,c_777,c_781,c_782,c_783,c_784,c_787,c_788,c_789,c_790,c_791])).++%------------------------------------------------------------------------------+%----ORIGINAL SYSTEM OUTPUT+% 0.00/0.04 % Problem : ALG028+1 : TPTP v6.4.0. Released v2.7.0.+% 0.00/0.04 % Command : iprover_modulo %s %d+% 0.02/0.24 % Computer : n068.star.cs.uiowa.edu+% 0.02/0.24 % Model : x86_64 x86_64+% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz+% 0.02/0.24 % Memory : 32218.625MB+% 0.02/0.24 % OS : Linux 3.10.0-514.6.1.el7.x86_64+% 0.02/0.24 % CPULimit : 300+% 0.02/0.24 % DateTime : Wed Aug 16 07:50:11 CDT 2017+% 0.02/0.24 % CPUTime : +% 0.02/0.25 % Running in FOF CNF mode+% 0.08/0.31 % Orienting using strategy Equiv(ClausalAll)+% 0.08/0.31 % FOF problem with conjecture+% 0.08/0.31 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_e8a581.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_455b36.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_b2fe48 | grep -v "SZS"+% 0.08/0.32 +% 0.08/0.32 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%+% 0.08/0.32 +% 0.08/0.32 % +% 0.08/0.32 % ------ iProver source info +% 0.08/0.32 +% 0.08/0.32 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3+% 0.08/0.32 % git: non_committed_changes: true+% 0.08/0.32 % git: last_make_outside_of_git: true+% 0.08/0.32 +% 0.08/0.32 % +% 0.08/0.32 % ------ Input Options+% 0.08/0.32 +% 0.08/0.32 % --out_options all+% 0.08/0.32 % --tptp_safe_out true+% 0.08/0.32 % --problem_path ""+% 0.08/0.32 % --include_path ""+% 0.08/0.32 % --clausifier .//eprover+% 0.08/0.32 % --clausifier_options --tstp-format +% 0.08/0.32 % --stdin false+% 0.08/0.32 % --dbg_backtrace false+% 0.08/0.32 % --dbg_dump_prop_clauses false+% 0.08/0.32 % --dbg_dump_prop_clauses_file -+% 0.08/0.32 % --dbg_out_stat false+% 0.08/0.32 +% 0.08/0.32 % ------ General Options+% 0.08/0.32 +% 0.08/0.32 % --fof false+% 0.08/0.32 % --time_out_real 150.+% 0.08/0.32 % --time_out_prep_mult 0.2+% 0.08/0.32 % --time_out_virtual -1.+% 0.08/0.32 % --schedule none+% 0.08/0.32 % --ground_splitting input+% 0.08/0.32 % --splitting_nvd 16+% 0.08/0.32 % --non_eq_to_eq false+% 0.08/0.32 % --prep_gs_sim true+% 0.08/0.32 % --prep_unflatten false+% 0.08/0.32 % --prep_res_sim true+% 0.08/0.32 % --prep_upred true+% 0.08/0.32 % --res_sim_input true+% 0.08/0.32 % --clause_weak_htbl true+% 0.08/0.32 % --gc_record_bc_elim false+% 0.08/0.32 % --symbol_type_check false+% 0.08/0.32 % --clausify_out false+% 0.08/0.32 % --large_theory_mode false+% 0.08/0.32 % --prep_sem_filter none+% 0.08/0.32 % --prep_sem_filter_out false+% 0.08/0.32 % --preprocessed_out false+% 0.08/0.32 % --sub_typing false+% 0.08/0.32 % --brand_transform false+% 0.08/0.32 % --pure_diseq_elim true+% 0.08/0.32 % --min_unsat_core false+% 0.08/0.32 % --pred_elim true+% 0.08/0.32 % --add_important_lit false+% 0.08/0.32 % --soft_assumptions false+% 0.08/0.33 % --reset_solvers false+% 0.08/0.33 % --bc_imp_inh []+% 0.08/0.33 % --conj_cone_tolerance 1.5+% 0.08/0.33 % --prolific_symb_bound 500+% 0.08/0.33 % --lt_threshold 2000+% 0.08/0.33 +% 0.08/0.33 % ------ SAT Options+% 0.08/0.33 +% 0.08/0.33 % --sat_mode false+% 0.08/0.33 % --sat_fm_restart_options ""+% 0.08/0.33 % --sat_gr_def false+% 0.08/0.33 % --sat_epr_types true+% 0.08/0.33 % --sat_non_cyclic_types false+% 0.08/0.33 % --sat_finite_models false+% 0.08/0.33 % --sat_fm_lemmas false+% 0.08/0.33 % --sat_fm_prep false+% 0.08/0.33 % --sat_fm_uc_incr true+% 0.08/0.33 % --sat_out_model small+% 0.08/0.33 % --sat_out_clauses false+% 0.08/0.33 +% 0.08/0.33 % ------ QBF Options+% 0.08/0.33 +% 0.08/0.33 % --qbf_mode false+% 0.08/0.33 % --qbf_elim_univ true+% 0.08/0.33 % --qbf_sk_in true+% 0.08/0.33 % --qbf_pred_elim true+% 0.08/0.33 % --qbf_split 32+% 0.08/0.33 +% 0.08/0.33 % ------ BMC1 Options+% 0.08/0.33 +% 0.08/0.33 % --bmc1_incremental false+% 0.08/0.33 % --bmc1_axioms reachable_all+% 0.08/0.33 % --bmc1_min_bound 0+% 0.08/0.33 % --bmc1_max_bound -1+% 0.08/0.33 % --bmc1_max_bound_default -1+% 0.08/0.33 % --bmc1_symbol_reachability true+% 0.08/0.33 % --bmc1_property_lemmas false+% 0.08/0.33 % --bmc1_k_induction false+% 0.08/0.33 % --bmc1_non_equiv_states false+% 0.08/0.33 % --bmc1_deadlock false+% 0.08/0.33 % --bmc1_ucm false+% 0.08/0.33 % --bmc1_add_unsat_core none+% 0.08/0.33 % --bmc1_unsat_core_children false+% 0.08/0.33 % --bmc1_unsat_core_extrapolate_axioms false+% 0.08/0.33 % --bmc1_out_stat full+% 0.08/0.33 % --bmc1_ground_init false+% 0.08/0.33 % --bmc1_pre_inst_next_state false+% 0.08/0.33 % --bmc1_pre_inst_state false+% 0.08/0.33 % --bmc1_pre_inst_reach_state false+% 0.08/0.33 % --bmc1_out_unsat_core false+% 0.08/0.33 % --bmc1_aig_witness_out false+% 0.08/0.33 % --bmc1_verbose false+% 0.08/0.33 % --bmc1_dump_clauses_tptp false+% 0.08/0.35 % --bmc1_dump_unsat_core_tptp false+% 0.08/0.35 % --bmc1_dump_file -+% 0.08/0.35 % --bmc1_ucm_expand_uc_limit 128+% 0.08/0.35 % --bmc1_ucm_n_expand_iterations 6+% 0.08/0.35 % --bmc1_ucm_extend_mode 1+% 0.08/0.35 % --bmc1_ucm_init_mode 2+% 0.08/0.35 % --bmc1_ucm_cone_mode none+% 0.08/0.35 % --bmc1_ucm_reduced_relation_type 0+% 0.08/0.35 % --bmc1_ucm_relax_model 4+% 0.08/0.35 % --bmc1_ucm_full_tr_after_sat true+% 0.08/0.35 % --bmc1_ucm_expand_neg_assumptions false+% 0.08/0.35 % --bmc1_ucm_layered_model none+% 0.08/0.35 % --bmc1_ucm_max_lemma_size 10+% 0.08/0.35 +% 0.08/0.35 % ------ AIG Options+% 0.08/0.35 +% 0.08/0.35 % --aig_mode false+% 0.08/0.35 +% 0.08/0.35 % ------ Instantiation Options+% 0.08/0.35 +% 0.08/0.35 % --instantiation_flag true+% 0.08/0.35 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]+% 0.08/0.35 % --inst_solver_per_active 750+% 0.08/0.35 % --inst_solver_calls_frac 0.5+% 0.08/0.35 % --inst_passive_queue_type priority_queues+% 0.08/0.35 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]+% 0.08/0.35 % --inst_passive_queues_freq [25;2]+% 0.08/0.35 % --inst_dismatching true+% 0.08/0.35 % --inst_eager_unprocessed_to_passive true+% 0.08/0.35 % --inst_prop_sim_given true+% 0.08/0.35 % --inst_prop_sim_new false+% 0.08/0.35 % --inst_orphan_elimination true+% 0.08/0.35 % --inst_learning_loop_flag true+% 0.08/0.35 % --inst_learning_start 3000+% 0.08/0.35 % --inst_learning_factor 2+% 0.08/0.35 % --inst_start_prop_sim_after_learn 3+% 0.08/0.35 % --inst_sel_renew solver+% 0.08/0.35 % --inst_lit_activity_flag true+% 0.08/0.35 % --inst_out_proof true+% 0.08/0.35 +% 0.08/0.35 % ------ Resolution Options+% 0.08/0.35 +% 0.08/0.35 % --resolution_flag true+% 0.08/0.35 % --res_lit_sel kbo_max+% 0.08/0.35 % --res_to_prop_solver none+% 0.08/0.35 % --res_prop_simpl_new false+% 0.08/0.35 % --res_prop_simpl_given false+% 0.08/0.35 % --res_passive_queue_type priority_queues+% 0.08/0.35 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]+% 0.08/0.35 % --res_passive_queues_freq [15;5]+% 0.08/0.35 % --res_forward_subs full+% 0.08/0.35 % --res_backward_subs full+% 0.08/0.35 % --res_forward_subs_resolution true+% 0.08/0.35 % --res_backward_subs_resolution true+% 0.08/0.35 % --res_orphan_elimination false+% 0.08/0.35 % --res_time_limit 1000.+% 0.08/0.35 % --res_out_proof true+% 0.08/0.35 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_e8a581.s+% 0.08/0.35 % --modulo true+% 0.08/0.35 +% 0.08/0.35 % ------ Combination Options+% 0.08/0.35 +% 0.08/0.35 % --comb_res_mult 1000+% 0.08/0.35 % --comb_inst_mult 300+% 0.08/0.35 % ------ +% 0.08/0.35 +% 0.08/0.35 % ------ Parsing...% successful+% 0.08/0.35 +% 0.08/0.35 % +% 0.08/0.35 +% 0.08/0.35 +% 0.08/0.35 % ------ Statistics+% 0.08/0.35 +% 0.08/0.35 % ------ General+% 0.08/0.35 +% 0.08/0.35 % num_of_input_clauses: 793+% 0.08/0.35 % num_of_input_neg_conjectures: 37+% 0.08/0.35 % num_of_splits: 0+% 0.08/0.35 % num_of_split_atoms: 0+% 0.08/0.35 % num_of_sem_filtered_clauses: 0+% 0.08/0.35 % num_of_subtypes: 0+% 0.08/0.35 % monotx_restored_types: 0+% 0.08/0.35 % sat_num_of_epr_types: 0+% 0.08/0.35 % sat_num_of_non_cyclic_types: 0+% 0.08/0.35 % sat_guarded_non_collapsed_types: 0+% 0.08/0.35 % is_epr: 0+% 0.08/0.35 % is_horn: 0+% 0.08/0.35 % has_eq: 0+% 0.08/0.35 % num_pure_diseq_elim: 0+% 0.08/0.35 % simp_replaced_by: 0+% 0.08/0.35 % res_preprocessed: 0+% 0.08/0.35 % prep_upred: 0+% 0.08/0.35 % prep_unflattend: 0+% 0.08/0.35 % pred_elim_cands: 0+% 0.08/0.35 % pred_elim: 0+% 0.08/0.35 % pred_elim_cl: 0+% 0.08/0.35 % pred_elim_cycles: 0+% 0.08/0.35 % forced_gc_time: 0+% 0.08/0.35 % gc_basic_clause_elim: 0+% 0.08/0.35 % parsing_time: 0.024+% 0.08/0.35 % sem_filter_time: 0.+% 0.08/0.35 % pred_elim_time: 0.+% 0.08/0.35 % out_proof_time: 0.+% 0.08/0.35 % monotx_time: 0.+% 0.08/0.35 % subtype_inf_time: 0.+% 0.08/0.35 % unif_index_cands_time: 0.+% 0.08/0.35 % unif_index_add_time: 0.+% 0.08/0.35 % total_time: 0.037+% 0.08/0.35 % num_of_symbols: 34+% 0.08/0.35 % num_of_terms: 1526+% 0.08/0.35 +% 0.08/0.35 % ------ Propositional Solver+% 0.08/0.35 +% 0.08/0.35 % prop_solver_calls: 0+% 0.08/0.35 % prop_fast_solver_calls: 0+% 0.08/0.35 % prop_num_of_clauses: 21+% 0.08/0.35 % prop_preprocess_simplified: 15+% 0.08/0.35 % prop_fo_subsumed: 0+% 0.08/0.35 % prop_solver_time: 0.+% 0.08/0.35 % prop_fast_solver_time: 0.+% 0.08/0.35 % prop_unsat_core_time: 0.+% 0.08/0.35 +% 0.08/0.35 % ------ QBF +% 0.08/0.35 +% 0.08/0.35 % qbf_q_res: 0+% 0.08/0.35 % qbf_num_tautologies: 0+% 0.08/0.35 % qbf_prep_cycles: 0+% 0.08/0.35 +% 0.08/0.35 % ------ BMC1+% 0.08/0.35 +% 0.08/0.35 % bmc1_current_bound: -1+% 0.08/0.35 % bmc1_last_solved_bound: -1+% 0.08/0.35 % bmc1_unsat_core_size: -1+% 0.08/0.35 % bmc1_unsat_core_parents_size: -1+% 0.08/0.35 % bmc1_merge_next_fun: 0+% 0.08/0.35 % bmc1_unsat_core_clauses_time: 0.+% 0.08/0.35 +% 0.08/0.35 % ------ Instantiation+% 0.08/0.35 +% 0.08/0.35 % inst_num_of_clauses: undef+% 0.08/0.35 % inst_num_in_passive: undef+% 0.08/0.35 % inst_num_in_active: 0+% 0.08/0.35 % inst_num_in_unprocessed: 0+% 0.08/0.35 % inst_num_of_loops: 0+% 0.08/0.35 % inst_num_of_learning_restarts: 0+% 0.08/0.35 % inst_num_moves_active_passive: 0+% 0.08/0.35 % inst_lit_activity: 0+% 0.08/0.35 % inst_lit_activity_moves: 0+% 0.08/0.35 % inst_num_tautologies: 0+% 0.08/0.35 % inst_num_prop_implied: 0+% 0.08/0.35 % inst_num_existing_simplified: 0+% 0.08/0.35 % inst_num_eq_res_simplified: 0+% 0.08/0.35 % inst_num_child_elim: 0+% 0.08/0.35 % inst_num_of_dismatching_blockings: 0+% 0.08/0.35 % inst_num_of_non_proper_insts: 0+% 0.08/0.35 % inst_num_of_duplicates: 0+% 0.08/0.35 % inst_inst_num_from_inst_to_res: 0+% 0.08/0.35 % inst_dismatching_checking_time: 0.+% 0.08/0.35 +% 0.08/0.35 % ------ Resolution+% 0.08/0.35 +% 0.08/0.35 % res_num_of_clauses: undef+% 0.08/0.35 % res_num_in_passive: undef+% 0.08/0.35 % res_num_in_active: 0+% 0.08/0.35 % res_num_of_loops: 0+% 0.08/0.35 % res_forward_subset_subsumed: 0+% 0.08/0.35 % res_backward_subset_subsumed: 0+% 0.08/0.35 % res_forward_subsumed: 0+% 0.08/0.35 % res_backward_subsumed: 0+% 0.08/0.35 % res_forward_subsumption_resolution: 0+% 0.08/0.35 % res_backward_subsumption_resolution: 0+% 0.08/0.35 % res_clause_to_clause_subsumption: 0+% 0.08/0.35 % res_orphan_elimination: 0+% 0.08/0.35 % res_tautology_del: 0+% 0.08/0.35 % res_num_eq_res_simplified: 0+% 0.08/0.35 % res_num_sel_changes: 0+% 0.08/0.35 % res_moves_from_active_to_pass: 0+% 0.08/0.35 +% 0.08/0.35 % Status Unsatisfiable+% 0.08/0.35 % SZS status Theorem+% 0.08/0.35 % SZS output start CNFRefutation+% 0.08/0.35 % Axioms transformation by autotheo+% 0.08/0.35 % Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)+% 0.08/0.35 % Orienting axioms whose shape is orientable+% 0.08/0.35 fof(ax11,axiom,(e0=op(op(op(op(e4,e4),e4),e4),op(e4,e4))&(e1=op(op(e4,e4),e4)&(e2=op(op(op(e4,e4),e4),e4)&(e3=op(e4,e4)&e5=op(op(op(op(e4,e4),e4),e4),e4))))),input).+% 0.08/0.35 fof(ax11_0,plain,(e0=op(op(op(op(e4,e4),e4),e4),op(e4,e4))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax11])).+% 0.08/0.35 fof(ax11_1,plain,(e1=op(op(e4,e4),e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax11])).+% 0.08/0.35 fof(ax11_2,plain,(e2=op(op(op(e4,e4),e4),e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax11])).+% 0.08/0.35 fof(ax11_3,plain,(e3=op(e4,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax11])).+% 0.08/0.35 fof(ax11_4,plain,(e5=op(op(op(op(e4,e4),e4),e4),e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax11])).+% 0.08/0.35 fof(ax10,axiom,(e0!=e1&(e0!=e2&(e0!=e3&(e0!=e4&(e0!=e5&(e1!=e2&(e1!=e3&(e1!=e4&(e1!=e5&(e2!=e3&(e2!=e4&(e2!=e5&(e3!=e4&(e3!=e5&e4!=e5)))))))))))))),input).+% 0.08/0.35 fof(ax10_0,plain,(e0!=e1+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_1,plain,(e0!=e2+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_2,plain,(e0!=e3+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_3,plain,(e0!=e4+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_4,plain,(e0!=e5+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_5,plain,(e1!=e2+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_6,plain,(e1!=e3+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_7,plain,(e1!=e4+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_8,plain,(e1!=e5+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_9,plain,(e2!=e3+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_10,plain,(e2!=e4+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_11,plain,(e2!=e5+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_12,plain,(e3!=e4+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_13,plain,(e3!=e5+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax10_14,plain,(e4!=e5+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax10])).+% 0.08/0.35 fof(ax9,axiom,(op(e0,e0)!=op(e1,e0)&(op(e0,e0)!=op(e2,e0)&(op(e0,e0)!=op(e3,e0)&(op(e0,e0)!=op(e4,e0)&(op(e0,e0)!=op(e5,e0)&(op(e1,e0)!=op(e2,e0)&(op(e1,e0)!=op(e3,e0)&(op(e1,e0)!=op(e4,e0)&(op(e1,e0)!=op(e5,e0)&(op(e2,e0)!=op(e3,e0)&(op(e2,e0)!=op(e4,e0)&(op(e2,e0)!=op(e5,e0)&(op(e3,e0)!=op(e4,e0)&(op(e3,e0)!=op(e5,e0)&(op(e4,e0)!=op(e5,e0)&(op(e0,e1)!=op(e1,e1)&(op(e0,e1)!=op(e2,e1)&(op(e0,e1)!=op(e3,e1)&(op(e0,e1)!=op(e4,e1)&(op(e0,e1)!=op(e5,e1)&(op(e1,e1)!=op(e2,e1)&(op(e1,e1)!=op(e3,e1)&(op(e1,e1)!=op(e4,e1)&(op(e1,e1)!=op(e5,e1)&(op(e2,e1)!=op(e3,e1)&(op(e2,e1)!=op(e4,e1)&(op(e2,e1)!=op(e5,e1)&(op(e3,e1)!=op(e4,e1)&(op(e3,e1)!=op(e5,e1)&(op(e4,e1)!=op(e5,e1)&(op(e0,e2)!=op(e1,e2)&(op(e0,e2)!=op(e2,e2)&(op(e0,e2)!=op(e3,e2)&(op(e0,e2)!=op(e4,e2)&(op(e0,e2)!=op(e5,e2)&(op(e1,e2)!=op(e2,e2)&(op(e1,e2)!=op(e3,e2)&(op(e1,e2)!=op(e4,e2)&(op(e1,e2)!=op(e5,e2)&(op(e2,e2)!=op(e3,e2)&(op(e2,e2)!=op(e4,e2)&(op(e2,e2)!=op(e5,e2)&(op(e3,e2)!=op(e4,e2)&(op(e3,e2)!=op(e5,e2)&(op(e4,e2)!=op(e5,e2)&(op(e0,e3)!=op(e1,e3)&(op(e0,e3)!=op(e2,e3)&(op(e0,e3)!=op(e3,e3)&(op(e0,e3)!=op(e4,e3)&(op(e0,e3)!=op(e5,e3)&(op(e1,e3)!=op(e2,e3)&(op(e1,e3)!=op(e3,e3)&(op(e1,e3)!=op(e4,e3)&(op(e1,e3)!=op(e5,e3)&(op(e2,e3)!=op(e3,e3)&(op(e2,e3)!=op(e4,e3)&(op(e2,e3)!=op(e5,e3)&(op(e3,e3)!=op(e4,e3)&(op(e3,e3)!=op(e5,e3)&(op(e4,e3)!=op(e5,e3)&(op(e0,e4)!=op(e1,e4)&(op(e0,e4)!=op(e2,e4)&(op(e0,e4)!=op(e3,e4)&(op(e0,e4)!=op(e4,e4)&(op(e0,e4)!=op(e5,e4)&(op(e1,e4)!=op(e2,e4)&(op(e1,e4)!=op(e3,e4)&(op(e1,e4)!=op(e4,e4)&(op(e1,e4)!=op(e5,e4)&(op(e2,e4)!=op(e3,e4)&(op(e2,e4)!=op(e4,e4)&(op(e2,e4)!=op(e5,e4)&(op(e3,e4)!=op(e4,e4)&(op(e3,e4)!=op(e5,e4)&(op(e4,e4)!=op(e5,e4)&(op(e0,e5)!=op(e1,e5)&(op(e0,e5)!=op(e2,e5)&(op(e0,e5)!=op(e3,e5)&(op(e0,e5)!=op(e4,e5)&(op(e0,e5)!=op(e5,e5)&(op(e1,e5)!=op(e2,e5)&(op(e1,e5)!=op(e3,e5)&(op(e1,e5)!=op(e4,e5)&(op(e1,e5)!=op(e5,e5)&(op(e2,e5)!=op(e3,e5)&(op(e2,e5)!=op(e4,e5)&(op(e2,e5)!=op(e5,e5)&(op(e3,e5)!=op(e4,e5)&(op(e3,e5)!=op(e5,e5)&(op(e4,e5)!=op(e5,e5)&(op(e0,e0)!=op(e0,e1)&(op(e0,e0)!=op(e0,e2)&(op(e0,e0)!=op(e0,e3)&(op(e0,e0)!=op(e0,e4)&(op(e0,e0)!=op(e0,e5)&(op(e0,e1)!=op(e0,e2)&(op(e0,e1)!=op(e0,e3)&(op(e0,e1)!=op(e0,e4)&(op(e0,e1)!=op(e0,e5)&(op(e0,e2)!=op(e0,e3)&(op(e0,e2)!=op(e0,e4)&(op(e0,e2)!=op(e0,e5)&(op(e0,e3)!=op(e0,e4)&(op(e0,e3)!=op(e0,e5)&(op(e0,e4)!=op(e0,e5)&(op(e1,e0)!=op(e1,e1)&(op(e1,e0)!=op(e1,e2)&(op(e1,e0)!=op(e1,e3)&(op(e1,e0)!=op(e1,e4)&(op(e1,e0)!=op(e1,e5)&(op(e1,e1)!=op(e1,e2)&(op(e1,e1)!=op(e1,e3)&(op(e1,e1)!=op(e1,e4)&(op(e1,e1)!=op(e1,e5)&(op(e1,e2)!=op(e1,e3)&(op(e1,e2)!=op(e1,e4)&(op(e1,e2)!=op(e1,e5)&(op(e1,e3)!=op(e1,e4)&(op(e1,e3)!=op(e1,e5)&(op(e1,e4)!=op(e1,e5)&(op(e2,e0)!=op(e2,e1)&(op(e2,e0)!=op(e2,e2)&(op(e2,e0)!=op(e2,e3)&(op(e2,e0)!=op(e2,e4)&(op(e2,e0)!=op(e2,e5)&(op(e2,e1)!=op(e2,e2)&(op(e2,e1)!=op(e2,e3)&(op(e2,e1)!=op(e2,e4)&(op(e2,e1)!=op(e2,e5)&(op(e2,e2)!=op(e2,e3)&(op(e2,e2)!=op(e2,e4)&(op(e2,e2)!=op(e2,e5)&(op(e2,e3)!=op(e2,e4)&(op(e2,e3)!=op(e2,e5)&(op(e2,e4)!=op(e2,e5)&(op(e3,e0)!=op(e3,e1)&(op(e3,e0)!=op(e3,e2)&(op(e3,e0)!=op(e3,e3)&(op(e3,e0)!=op(e3,e4)&(op(e3,e0)!=op(e3,e5)&(op(e3,e1)!=op(e3,e2)&(op(e3,e1)!=op(e3,e3)&(op(e3,e1)!=op(e3,e4)&(op(e3,e1)!=op(e3,e5)&(op(e3,e2)!=op(e3,e3)&(op(e3,e2)!=op(e3,e4)&(op(e3,e2)!=op(e3,e5)&(op(e3,e3)!=op(e3,e4)&(op(e3,e3)!=op(e3,e5)&(op(e3,e4)!=op(e3,e5)&(op(e4,e0)!=op(e4,e1)&(op(e4,e0)!=op(e4,e2)&(op(e4,e0)!=op(e4,e3)&(op(e4,e0)!=op(e4,e4)&(op(e4,e0)!=op(e4,e5)&(op(e4,e1)!=op(e4,e2)&(op(e4,e1)!=op(e4,e3)&(op(e4,e1)!=op(e4,e4)&(op(e4,e1)!=op(e4,e5)&(op(e4,e2)!=op(e4,e3)&(op(e4,e2)!=op(e4,e4)&(op(e4,e2)!=op(e4,e5)&(op(e4,e3)!=op(e4,e4)&(op(e4,e3)!=op(e4,e5)&(op(e4,e4)!=op(e4,e5)&(op(e5,e0)!=op(e5,e1)&(op(e5,e0)!=op(e5,e2)&(op(e5,e0)!=op(e5,e3)&(op(e5,e0)!=op(e5,e4)&(op(e5,e0)!=op(e5,e5)&(op(e5,e1)!=op(e5,e2)&(op(e5,e1)!=op(e5,e3)&(op(e5,e1)!=op(e5,e4)&(op(e5,e1)!=op(e5,e5)&(op(e5,e2)!=op(e5,e3)&(op(e5,e2)!=op(e5,e4)&(op(e5,e2)!=op(e5,e5)&(op(e5,e3)!=op(e5,e4)&(op(e5,e3)!=op(e5,e5)&op(e5,e4)!=op(e5,e5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),input).+% 0.08/0.35 fof(ax9_0,plain,(op(e0,e0)!=op(e1,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_1,plain,(op(e0,e0)!=op(e2,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_2,plain,(op(e0,e0)!=op(e3,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_3,plain,(op(e0,e0)!=op(e4,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_4,plain,(op(e0,e0)!=op(e5,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_5,plain,(op(e1,e0)!=op(e2,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_6,plain,(op(e1,e0)!=op(e3,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_7,plain,(op(e1,e0)!=op(e4,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_8,plain,(op(e1,e0)!=op(e5,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_9,plain,(op(e2,e0)!=op(e3,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_10,plain,(op(e2,e0)!=op(e4,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_11,plain,(op(e2,e0)!=op(e5,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_12,plain,(op(e3,e0)!=op(e4,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_13,plain,(op(e3,e0)!=op(e5,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_14,plain,(op(e4,e0)!=op(e5,e0)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_15,plain,(op(e0,e1)!=op(e1,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_16,plain,(op(e0,e1)!=op(e2,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_17,plain,(op(e0,e1)!=op(e3,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_18,plain,(op(e0,e1)!=op(e4,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_19,plain,(op(e0,e1)!=op(e5,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_20,plain,(op(e1,e1)!=op(e2,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_21,plain,(op(e1,e1)!=op(e3,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_22,plain,(op(e1,e1)!=op(e4,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_23,plain,(op(e1,e1)!=op(e5,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_24,plain,(op(e2,e1)!=op(e3,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_25,plain,(op(e2,e1)!=op(e4,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_26,plain,(op(e2,e1)!=op(e5,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_27,plain,(op(e3,e1)!=op(e4,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_28,plain,(op(e3,e1)!=op(e5,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_29,plain,(op(e4,e1)!=op(e5,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_30,plain,(op(e0,e2)!=op(e1,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_31,plain,(op(e0,e2)!=op(e2,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_32,plain,(op(e0,e2)!=op(e3,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_33,plain,(op(e0,e2)!=op(e4,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_34,plain,(op(e0,e2)!=op(e5,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_35,plain,(op(e1,e2)!=op(e2,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_36,plain,(op(e1,e2)!=op(e3,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_37,plain,(op(e1,e2)!=op(e4,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_38,plain,(op(e1,e2)!=op(e5,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_39,plain,(op(e2,e2)!=op(e3,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_40,plain,(op(e2,e2)!=op(e4,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_41,plain,(op(e2,e2)!=op(e5,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_42,plain,(op(e3,e2)!=op(e4,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_43,plain,(op(e3,e2)!=op(e5,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_44,plain,(op(e4,e2)!=op(e5,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_45,plain,(op(e0,e3)!=op(e1,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_46,plain,(op(e0,e3)!=op(e2,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_47,plain,(op(e0,e3)!=op(e3,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_48,plain,(op(e0,e3)!=op(e4,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_49,plain,(op(e0,e3)!=op(e5,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_50,plain,(op(e1,e3)!=op(e2,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_51,plain,(op(e1,e3)!=op(e3,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_52,plain,(op(e1,e3)!=op(e4,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_53,plain,(op(e1,e3)!=op(e5,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_54,plain,(op(e2,e3)!=op(e3,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_55,plain,(op(e2,e3)!=op(e4,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_56,plain,(op(e2,e3)!=op(e5,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_57,plain,(op(e3,e3)!=op(e4,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_58,plain,(op(e3,e3)!=op(e5,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_59,plain,(op(e4,e3)!=op(e5,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_60,plain,(op(e0,e4)!=op(e1,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_61,plain,(op(e0,e4)!=op(e2,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_62,plain,(op(e0,e4)!=op(e3,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_63,plain,(op(e0,e4)!=op(e4,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_64,plain,(op(e0,e4)!=op(e5,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_65,plain,(op(e1,e4)!=op(e2,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_66,plain,(op(e1,e4)!=op(e3,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_67,plain,(op(e1,e4)!=op(e4,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_68,plain,(op(e1,e4)!=op(e5,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_69,plain,(op(e2,e4)!=op(e3,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_70,plain,(op(e2,e4)!=op(e4,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_71,plain,(op(e2,e4)!=op(e5,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_72,plain,(op(e3,e4)!=op(e4,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_73,plain,(op(e3,e4)!=op(e5,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_74,plain,(op(e4,e4)!=op(e5,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_75,plain,(op(e0,e5)!=op(e1,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_76,plain,(op(e0,e5)!=op(e2,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_77,plain,(op(e0,e5)!=op(e3,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_78,plain,(op(e0,e5)!=op(e4,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_79,plain,(op(e0,e5)!=op(e5,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_80,plain,(op(e1,e5)!=op(e2,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_81,plain,(op(e1,e5)!=op(e3,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_82,plain,(op(e1,e5)!=op(e4,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_83,plain,(op(e1,e5)!=op(e5,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_84,plain,(op(e2,e5)!=op(e3,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_85,plain,(op(e2,e5)!=op(e4,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_86,plain,(op(e2,e5)!=op(e5,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_87,plain,(op(e3,e5)!=op(e4,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_88,plain,(op(e3,e5)!=op(e5,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_89,plain,(op(e4,e5)!=op(e5,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_90,plain,(op(e0,e0)!=op(e0,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_91,plain,(op(e0,e0)!=op(e0,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_92,plain,(op(e0,e0)!=op(e0,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_93,plain,(op(e0,e0)!=op(e0,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_94,plain,(op(e0,e0)!=op(e0,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_95,plain,(op(e0,e1)!=op(e0,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_96,plain,(op(e0,e1)!=op(e0,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_97,plain,(op(e0,e1)!=op(e0,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_98,plain,(op(e0,e1)!=op(e0,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_99,plain,(op(e0,e2)!=op(e0,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_100,plain,(op(e0,e2)!=op(e0,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_101,plain,(op(e0,e2)!=op(e0,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_102,plain,(op(e0,e3)!=op(e0,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_103,plain,(op(e0,e3)!=op(e0,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_104,plain,(op(e0,e4)!=op(e0,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_105,plain,(op(e1,e0)!=op(e1,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_106,plain,(op(e1,e0)!=op(e1,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_107,plain,(op(e1,e0)!=op(e1,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_108,plain,(op(e1,e0)!=op(e1,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_109,plain,(op(e1,e0)!=op(e1,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_110,plain,(op(e1,e1)!=op(e1,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_111,plain,(op(e1,e1)!=op(e1,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_112,plain,(op(e1,e1)!=op(e1,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_113,plain,(op(e1,e1)!=op(e1,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_114,plain,(op(e1,e2)!=op(e1,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_115,plain,(op(e1,e2)!=op(e1,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_116,plain,(op(e1,e2)!=op(e1,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_117,plain,(op(e1,e3)!=op(e1,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_118,plain,(op(e1,e3)!=op(e1,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_119,plain,(op(e1,e4)!=op(e1,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_120,plain,(op(e2,e0)!=op(e2,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_121,plain,(op(e2,e0)!=op(e2,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_122,plain,(op(e2,e0)!=op(e2,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_123,plain,(op(e2,e0)!=op(e2,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_124,plain,(op(e2,e0)!=op(e2,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_125,plain,(op(e2,e1)!=op(e2,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_126,plain,(op(e2,e1)!=op(e2,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_127,plain,(op(e2,e1)!=op(e2,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_128,plain,(op(e2,e1)!=op(e2,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_129,plain,(op(e2,e2)!=op(e2,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_130,plain,(op(e2,e2)!=op(e2,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_131,plain,(op(e2,e2)!=op(e2,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_132,plain,(op(e2,e3)!=op(e2,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_133,plain,(op(e2,e3)!=op(e2,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_134,plain,(op(e2,e4)!=op(e2,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_135,plain,(op(e3,e0)!=op(e3,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_136,plain,(op(e3,e0)!=op(e3,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_137,plain,(op(e3,e0)!=op(e3,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_138,plain,(op(e3,e0)!=op(e3,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_139,plain,(op(e3,e0)!=op(e3,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_140,plain,(op(e3,e1)!=op(e3,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_141,plain,(op(e3,e1)!=op(e3,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_142,plain,(op(e3,e1)!=op(e3,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_143,plain,(op(e3,e1)!=op(e3,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_144,plain,(op(e3,e2)!=op(e3,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_145,plain,(op(e3,e2)!=op(e3,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_146,plain,(op(e3,e2)!=op(e3,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_147,plain,(op(e3,e3)!=op(e3,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_148,plain,(op(e3,e3)!=op(e3,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_149,plain,(op(e3,e4)!=op(e3,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_150,plain,(op(e4,e0)!=op(e4,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_151,plain,(op(e4,e0)!=op(e4,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_152,plain,(op(e4,e0)!=op(e4,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_153,plain,(op(e4,e0)!=op(e4,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_154,plain,(op(e4,e0)!=op(e4,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_155,plain,(op(e4,e1)!=op(e4,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_156,plain,(op(e4,e1)!=op(e4,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_157,plain,(op(e4,e1)!=op(e4,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_158,plain,(op(e4,e1)!=op(e4,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_159,plain,(op(e4,e2)!=op(e4,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_160,plain,(op(e4,e2)!=op(e4,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_161,plain,(op(e4,e2)!=op(e4,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_162,plain,(op(e4,e3)!=op(e4,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_163,plain,(op(e4,e3)!=op(e4,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_164,plain,(op(e4,e4)!=op(e4,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_165,plain,(op(e5,e0)!=op(e5,e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_166,plain,(op(e5,e0)!=op(e5,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_167,plain,(op(e5,e0)!=op(e5,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_168,plain,(op(e5,e0)!=op(e5,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_169,plain,(op(e5,e0)!=op(e5,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_170,plain,(op(e5,e1)!=op(e5,e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_171,plain,(op(e5,e1)!=op(e5,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_172,plain,(op(e5,e1)!=op(e5,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_173,plain,(op(e5,e1)!=op(e5,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_174,plain,(op(e5,e2)!=op(e5,e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_175,plain,(op(e5,e2)!=op(e5,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_176,plain,(op(e5,e2)!=op(e5,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_177,plain,(op(e5,e3)!=op(e5,e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_178,plain,(op(e5,e3)!=op(e5,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax9_179,plain,(op(e5,e4)!=op(e5,e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax9])).+% 0.08/0.35 fof(ax8,axiom,(inv(e0)!=inv(e1)&(inv(e0)!=inv(e2)&(inv(e0)!=inv(e3)&(inv(e0)!=inv(e4)&(inv(e0)!=inv(e5)&(inv(e1)!=inv(e2)&(inv(e1)!=inv(e3)&(inv(e1)!=inv(e4)&(inv(e1)!=inv(e5)&(inv(e2)!=inv(e3)&(inv(e2)!=inv(e4)&(inv(e2)!=inv(e5)&(inv(e3)!=inv(e4)&(inv(e3)!=inv(e5)&inv(e4)!=inv(e5))))))))))))))),input).+% 0.08/0.35 fof(ax8_0,plain,(inv(e0)!=inv(e1)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_1,plain,(inv(e0)!=inv(e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_2,plain,(inv(e0)!=inv(e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_3,plain,(inv(e0)!=inv(e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_4,plain,(inv(e0)!=inv(e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_5,plain,(inv(e1)!=inv(e2)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_6,plain,(inv(e1)!=inv(e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_7,plain,(inv(e1)!=inv(e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_8,plain,(inv(e1)!=inv(e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_9,plain,(inv(e2)!=inv(e3)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_10,plain,(inv(e2)!=inv(e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_11,plain,(inv(e2)!=inv(e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_12,plain,(inv(e3)!=inv(e4)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_13,plain,(inv(e3)!=inv(e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax8_14,plain,(inv(e4)!=inv(e5)+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax8])).+% 0.08/0.35 fof(ax7,axiom,((inv(e0)=e0=>inv(e0)=e0)&((inv(e0)=e1=>inv(e1)=e0)&((inv(e0)=e2=>inv(e2)=e0)&((inv(e0)=e3=>inv(e3)=e0)&((inv(e0)=e4=>inv(e4)=e0)&((inv(e0)=e5=>inv(e5)=e0)&((inv(e1)=e0=>inv(e0)=e1)&((inv(e1)=e1=>inv(e1)=e1)&((inv(e1)=e2=>inv(e2)=e1)&((inv(e1)=e3=>inv(e3)=e1)&((inv(e1)=e4=>inv(e4)=e1)&((inv(e1)=e5=>inv(e5)=e1)&((inv(e2)=e0=>inv(e0)=e2)&((inv(e2)=e1=>inv(e1)=e2)&((inv(e2)=e2=>inv(e2)=e2)&((inv(e2)=e3=>inv(e3)=e2)&((inv(e2)=e4=>inv(e4)=e2)&((inv(e2)=e5=>inv(e5)=e2)&((inv(e3)=e0=>inv(e0)=e3)&((inv(e3)=e1=>inv(e1)=e3)&((inv(e3)=e2=>inv(e2)=e3)&((inv(e3)=e3=>inv(e3)=e3)&((inv(e3)=e4=>inv(e4)=e3)&((inv(e3)=e5=>inv(e5)=e3)&((inv(e4)=e0=>inv(e0)=e4)&((inv(e4)=e1=>inv(e1)=e4)&((inv(e4)=e2=>inv(e2)=e4)&((inv(e4)=e3=>inv(e3)=e4)&((inv(e4)=e4=>inv(e4)=e4)&((inv(e4)=e5=>inv(e5)=e4)&((inv(e5)=e0=>inv(e0)=e5)&((inv(e5)=e1=>inv(e1)=e5)&((inv(e5)=e2=>inv(e2)=e5)&((inv(e5)=e3=>inv(e3)=e5)&((inv(e5)=e4=>inv(e4)=e5)&(inv(e5)=e5=>inv(e5)=e5)))))))))))))))))))))))))))))))))))),input).+% 0.08/0.35 fof(ax7_0,plain,(~inv(e0)=e0+% 0.08/0.35 |inv(e0)=e0),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_1,plain,(~inv(e0)=e1+% 0.08/0.35 |inv(e1)=e0),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_2,plain,(~inv(e0)=e2+% 0.08/0.35 |inv(e2)=e0),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_3,plain,(~inv(e0)=e3+% 0.08/0.35 |inv(e3)=e0),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_4,plain,(~inv(e0)=e4+% 0.08/0.35 |inv(e4)=e0),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_5,plain,(~inv(e0)=e5+% 0.08/0.35 |inv(e5)=e0),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_6,plain,(~inv(e1)=e0+% 0.08/0.35 |inv(e0)=e1),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_7,plain,(~inv(e1)=e1+% 0.08/0.35 |inv(e1)=e1),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_8,plain,(~inv(e1)=e2+% 0.08/0.35 |inv(e2)=e1),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_9,plain,(~inv(e1)=e3+% 0.08/0.35 |inv(e3)=e1),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_10,plain,(~inv(e1)=e4+% 0.08/0.35 |inv(e4)=e1),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_11,plain,(~inv(e1)=e5+% 0.08/0.35 |inv(e5)=e1),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_12,plain,(~inv(e2)=e0+% 0.08/0.35 |inv(e0)=e2),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_13,plain,(~inv(e2)=e1+% 0.08/0.35 |inv(e1)=e2),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_14,plain,(~inv(e2)=e2+% 0.08/0.35 |inv(e2)=e2),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_15,plain,(~inv(e2)=e3+% 0.08/0.35 |inv(e3)=e2),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_16,plain,(~inv(e2)=e4+% 0.08/0.35 |inv(e4)=e2),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_17,plain,(~inv(e2)=e5+% 0.08/0.35 |inv(e5)=e2),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_18,plain,(~inv(e3)=e0+% 0.08/0.35 |inv(e0)=e3),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_19,plain,(~inv(e3)=e1+% 0.08/0.35 |inv(e1)=e3),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_20,plain,(~inv(e3)=e2+% 0.08/0.35 |inv(e2)=e3),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_21,plain,(~inv(e3)=e3+% 0.08/0.35 |inv(e3)=e3),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_22,plain,(~inv(e3)=e4+% 0.08/0.35 |inv(e4)=e3),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_23,plain,(~inv(e3)=e5+% 0.08/0.35 |inv(e5)=e3),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_24,plain,(~inv(e4)=e0+% 0.08/0.35 |inv(e0)=e4),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_25,plain,(~inv(e4)=e1+% 0.08/0.35 |inv(e1)=e4),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_26,plain,(~inv(e4)=e2+% 0.08/0.35 |inv(e2)=e4),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_27,plain,(~inv(e4)=e3+% 0.08/0.35 |inv(e3)=e4),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_28,plain,(~inv(e4)=e4+% 0.08/0.35 |inv(e4)=e4),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_29,plain,(~inv(e4)=e5+% 0.08/0.35 |inv(e5)=e4),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_30,plain,(~inv(e5)=e0+% 0.08/0.35 |inv(e0)=e5),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_31,plain,(~inv(e5)=e1+% 0.08/0.35 |inv(e1)=e5),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_32,plain,(~inv(e5)=e2+% 0.08/0.35 |inv(e2)=e5),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_33,plain,(~inv(e5)=e3+% 0.08/0.35 |inv(e3)=e5),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_34,plain,(~inv(e5)=e4+% 0.08/0.35 |inv(e4)=e5),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax7_35,plain,(~inv(e5)=e5+% 0.08/0.35 |inv(e5)=e5),inference(orientation, [status(thm)], [ax7])).+% 0.08/0.35 fof(ax6,axiom,(inv(inv(e0))=e0&(inv(inv(e1))=e1&(inv(inv(e2))=e2&(inv(inv(e3))=e3&(inv(inv(e4))=e4&inv(inv(e5))=e5))))),input).+% 0.08/0.35 fof(ax6_0,plain,(inv(inv(e0))=e0+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax6])).+% 0.08/0.35 fof(ax6_1,plain,(inv(inv(e1))=e1+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax6])).+% 0.08/0.35 fof(ax6_2,plain,(inv(inv(e2))=e2+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax6])).+% 0.08/0.35 fof(ax6_3,plain,(inv(inv(e3))=e3+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax6])).+% 0.08/0.35 fof(ax6_4,plain,(inv(inv(e4))=e4+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax6])).+% 0.08/0.35 fof(ax6_5,plain,(inv(inv(e5))=e5+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax6])).+% 0.08/0.35 fof(ax5,axiom,inv(unit)=unit,input).+% 0.08/0.35 fof(ax5_0,plain,(inv(unit)=unit+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax5])).+% 0.08/0.35 fof(ax2,axiom,(op(op(e0,e0),e0)=op(e0,op(e0,e0))&(op(op(e0,e0),e1)=op(e0,op(e0,e1))&(op(op(e0,e0),e2)=op(e0,op(e0,e2))&(op(op(e0,e0),e3)=op(e0,op(e0,e3))&(op(op(e0,e0),e4)=op(e0,op(e0,e4))&(op(op(e0,e0),e5)=op(e0,op(e0,e5))&(op(op(e0,e1),e0)=op(e0,op(e1,e0))&(op(op(e0,e1),e1)=op(e0,op(e1,e1))&(op(op(e0,e1),e2)=op(e0,op(e1,e2))&(op(op(e0,e1),e3)=op(e0,op(e1,e3))&(op(op(e0,e1),e4)=op(e0,op(e1,e4))&(op(op(e0,e1),e5)=op(e0,op(e1,e5))&(op(op(e0,e2),e0)=op(e0,op(e2,e0))&(op(op(e0,e2),e1)=op(e0,op(e2,e1))&(op(op(e0,e2),e2)=op(e0,op(e2,e2))&(op(op(e0,e2),e3)=op(e0,op(e2,e3))&(op(op(e0,e2),e4)=op(e0,op(e2,e4))&(op(op(e0,e2),e5)=op(e0,op(e2,e5))&(op(op(e0,e3),e0)=op(e0,op(e3,e0))&(op(op(e0,e3),e1)=op(e0,op(e3,e1))&(op(op(e0,e3),e2)=op(e0,op(e3,e2))&(op(op(e0,e3),e3)=op(e0,op(e3,e3))&(op(op(e0,e3),e4)=op(e0,op(e3,e4))&(op(op(e0,e3),e5)=op(e0,op(e3,e5))&(op(op(e0,e4),e0)=op(e0,op(e4,e0))&(op(op(e0,e4),e1)=op(e0,op(e4,e1))&(op(op(e0,e4),e2)=op(e0,op(e4,e2))&(op(op(e0,e4),e3)=op(e0,op(e4,e3))&(op(op(e0,e4),e4)=op(e0,op(e4,e4))&(op(op(e0,e4),e5)=op(e0,op(e4,e5))&(op(op(e0,e5),e0)=op(e0,op(e5,e0))&(op(op(e0,e5),e1)=op(e0,op(e5,e1))&(op(op(e0,e5),e2)=op(e0,op(e5,e2))&(op(op(e0,e5),e3)=op(e0,op(e5,e3))&(op(op(e0,e5),e4)=op(e0,op(e5,e4))&(op(op(e0,e5),e5)=op(e0,op(e5,e5))&(op(op(e1,e0),e0)=op(e1,op(e0,e0))&(op(op(e1,e0),e1)=op(e1,op(e0,e1))&(op(op(e1,e0),e2)=op(e1,op(e0,e2))&(op(op(e1,e0),e3)=op(e1,op(e0,e3))&(op(op(e1,e0),e4)=op(e1,op(e0,e4))&(op(op(e1,e0),e5)=op(e1,op(e0,e5))&(op(op(e1,e1),e0)=op(e1,op(e1,e0))&(op(op(e1,e1),e1)=op(e1,op(e1,e1))&(op(op(e1,e1),e2)=op(e1,op(e1,e2))&(op(op(e1,e1),e3)=op(e1,op(e1,e3))&(op(op(e1,e1),e4)=op(e1,op(e1,e4))&(op(op(e1,e1),e5)=op(e1,op(e1,e5))&(op(op(e1,e2),e0)=op(e1,op(e2,e0))&(op(op(e1,e2),e1)=op(e1,op(e2,e1))&(op(op(e1,e2),e2)=op(e1,op(e2,e2))&(op(op(e1,e2),e3)=op(e1,op(e2,e3))&(op(op(e1,e2),e4)=op(e1,op(e2,e4))&(op(op(e1,e2),e5)=op(e1,op(e2,e5))&(op(op(e1,e3),e0)=op(e1,op(e3,e0))&(op(op(e1,e3),e1)=op(e1,op(e3,e1))&(op(op(e1,e3),e2)=op(e1,op(e3,e2))&(op(op(e1,e3),e3)=op(e1,op(e3,e3))&(op(op(e1,e3),e4)=op(e1,op(e3,e4))&(op(op(e1,e3),e5)=op(e1,op(e3,e5))&(op(op(e1,e4),e0)=op(e1,op(e4,e0))&(op(op(e1,e4),e1)=op(e1,op(e4,e1))&(op(op(e1,e4),e2)=op(e1,op(e4,e2))&(op(op(e1,e4),e3)=op(e1,op(e4,e3))&(op(op(e1,e4),e4)=op(e1,op(e4,e4))&(op(op(e1,e4),e5)=op(e1,op(e4,e5))&(op(op(e1,e5),e0)=op(e1,op(e5,e0))&(op(op(e1,e5),e1)=op(e1,op(e5,e1))&(op(op(e1,e5),e2)=op(e1,op(e5,e2))&(op(op(e1,e5),e3)=op(e1,op(e5,e3))&(op(op(e1,e5),e4)=op(e1,op(e5,e4))&(op(op(e1,e5),e5)=op(e1,op(e5,e5))&(op(op(e2,e0),e0)=op(e2,op(e0,e0))&(op(op(e2,e0),e1)=op(e2,op(e0,e1))&(op(op(e2,e0),e2)=op(e2,op(e0,e2))&(op(op(e2,e0),e3)=op(e2,op(e0,e3))&(op(op(e2,e0),e4)=op(e2,op(e0,e4))&(op(op(e2,e0),e5)=op(e2,op(e0,e5))&(op(op(e2,e1),e0)=op(e2,op(e1,e0))&(op(op(e2,e1),e1)=op(e2,op(e1,e1))&(op(op(e2,e1),e2)=op(e2,op(e1,e2))&(op(op(e2,e1),e3)=op(e2,op(e1,e3))&(op(op(e2,e1),e4)=op(e2,op(e1,e4))&(op(op(e2,e1),e5)=op(e2,op(e1,e5))&(op(op(e2,e2),e0)=op(e2,op(e2,e0))&(op(op(e2,e2),e1)=op(e2,op(e2,e1))&(op(op(e2,e2),e2)=op(e2,op(e2,e2))&(op(op(e2,e2),e3)=op(e2,op(e2,e3))&(op(op(e2,e2),e4)=op(e2,op(e2,e4))&(op(op(e2,e2),e5)=op(e2,op(e2,e5))&(op(op(e2,e3),e0)=op(e2,op(e3,e0))&(op(op(e2,e3),e1)=op(e2,op(e3,e1))&(op(op(e2,e3),e2)=op(e2,op(e3,e2))&(op(op(e2,e3),e3)=op(e2,op(e3,e3))&(op(op(e2,e3),e4)=op(e2,op(e3,e4))&(op(op(e2,e3),e5)=op(e2,op(e3,e5))&(op(op(e2,e4),e0)=op(e2,op(e4,e0))&(op(op(e2,e4),e1)=op(e2,op(e4,e1))&(op(op(e2,e4),e2)=op(e2,op(e4,e2))&(op(op(e2,e4),e3)=op(e2,op(e4,e3))&(op(op(e2,e4),e4)=op(e2,op(e4,e4))&(op(op(e2,e4),e5)=op(e2,op(e4,e5))&(op(op(e2,e5),e0)=op(e2,op(e5,e0))&(op(op(e2,e5),e1)=op(e2,op(e5,e1))&(op(op(e2,e5),e2)=op(e2,op(e5,e2))&(op(op(e2,e5),e3)=op(e2,op(e5,e3))&(op(op(e2,e5),e4)=op(e2,op(e5,e4))&(op(op(e2,e5),e5)=op(e2,op(e5,e5))&(op(op(e3,e0),e0)=op(e3,op(e0,e0))&(op(op(e3,e0),e1)=op(e3,op(e0,e1))&(op(op(e3,e0),e2)=op(e3,op(e0,e2))&(op(op(e3,e0),e3)=op(e3,op(e0,e3))&(op(op(e3,e0),e4)=op(e3,op(e0,e4))&(op(op(e3,e0),e5)=op(e3,op(e0,e5))&(op(op(e3,e1),e0)=op(e3,op(e1,e0))&(op(op(e3,e1),e1)=op(e3,op(e1,e1))&(op(op(e3,e1),e2)=op(e3,op(e1,e2))&(op(op(e3,e1),e3)=op(e3,op(e1,e3))&(op(op(e3,e1),e4)=op(e3,op(e1,e4))&(op(op(e3,e1),e5)=op(e3,op(e1,e5))&(op(op(e3,e2),e0)=op(e3,op(e2,e0))&(op(op(e3,e2),e1)=op(e3,op(e2,e1))&(op(op(e3,e2),e2)=op(e3,op(e2,e2))&(op(op(e3,e2),e3)=op(e3,op(e2,e3))&(op(op(e3,e2),e4)=op(e3,op(e2,e4))&(op(op(e3,e2),e5)=op(e3,op(e2,e5))&(op(op(e3,e3),e0)=op(e3,op(e3,e0))&(op(op(e3,e3),e1)=op(e3,op(e3,e1))&(op(op(e3,e3),e2)=op(e3,op(e3,e2))&(op(op(e3,e3),e3)=op(e3,op(e3,e3))&(op(op(e3,e3),e4)=op(e3,op(e3,e4))&(op(op(e3,e3),e5)=op(e3,op(e3,e5))&(op(op(e3,e4),e0)=op(e3,op(e4,e0))&(op(op(e3,e4),e1)=op(e3,op(e4,e1))&(op(op(e3,e4),e2)=op(e3,op(e4,e2))&(op(op(e3,e4),e3)=op(e3,op(e4,e3))&(op(op(e3,e4),e4)=op(e3,op(e4,e4))&(op(op(e3,e4),e5)=op(e3,op(e4,e5))&(op(op(e3,e5),e0)=op(e3,op(e5,e0))&(op(op(e3,e5),e1)=op(e3,op(e5,e1))&(op(op(e3,e5),e2)=op(e3,op(e5,e2))&(op(op(e3,e5),e3)=op(e3,op(e5,e3))&(op(op(e3,e5),e4)=op(e3,op(e5,e4))&(op(op(e3,e5),e5)=op(e3,op(e5,e5))&(op(op(e4,e0),e0)=op(e4,op(e0,e0))&(op(op(e4,e0),e1)=op(e4,op(e0,e1))&(op(op(e4,e0),e2)=op(e4,op(e0,e2))&(op(op(e4,e0),e3)=op(e4,op(e0,e3))&(op(op(e4,e0),e4)=op(e4,op(e0,e4))&(op(op(e4,e0),e5)=op(e4,op(e0,e5))&(op(op(e4,e1),e0)=op(e4,op(e1,e0))&(op(op(e4,e1),e1)=op(e4,op(e1,e1))&(op(op(e4,e1),e2)=op(e4,op(e1,e2))&(op(op(e4,e1),e3)=op(e4,op(e1,e3))&(op(op(e4,e1),e4)=op(e4,op(e1,e4))&(op(op(e4,e1),e5)=op(e4,op(e1,e5))&(op(op(e4,e2),e0)=op(e4,op(e2,e0))&(op(op(e4,e2),e1)=op(e4,op(e2,e1))&(op(op(e4,e2),e2)=op(e4,op(e2,e2))&(op(op(e4,e2),e3)=op(e4,op(e2,e3))&(op(op(e4,e2),e4)=op(e4,op(e2,e4))&(op(op(e4,e2),e5)=op(e4,op(e2,e5))&(op(op(e4,e3),e0)=op(e4,op(e3,e0))&(op(op(e4,e3),e1)=op(e4,op(e3,e1))&(op(op(e4,e3),e2)=op(e4,op(e3,e2))&(op(op(e4,e3),e3)=op(e4,op(e3,e3))&(op(op(e4,e3),e4)=op(e4,op(e3,e4))&(op(op(e4,e3),e5)=op(e4,op(e3,e5))&(op(op(e4,e4),e0)=op(e4,op(e4,e0))&(op(op(e4,e4),e1)=op(e4,op(e4,e1))&(op(op(e4,e4),e2)=op(e4,op(e4,e2))&(op(op(e4,e4),e3)=op(e4,op(e4,e3))&(op(op(e4,e4),e4)=op(e4,op(e4,e4))&(op(op(e4,e4),e5)=op(e4,op(e4,e5))&(op(op(e4,e5),e0)=op(e4,op(e5,e0))&(op(op(e4,e5),e1)=op(e4,op(e5,e1))&(op(op(e4,e5),e2)=op(e4,op(e5,e2))&(op(op(e4,e5),e3)=op(e4,op(e5,e3))&(op(op(e4,e5),e4)=op(e4,op(e5,e4))&(op(op(e4,e5),e5)=op(e4,op(e5,e5))&(op(op(e5,e0),e0)=op(e5,op(e0,e0))&(op(op(e5,e0),e1)=op(e5,op(e0,e1))&(op(op(e5,e0),e2)=op(e5,op(e0,e2))&(op(op(e5,e0),e3)=op(e5,op(e0,e3))&(op(op(e5,e0),e4)=op(e5,op(e0,e4))&(op(op(e5,e0),e5)=op(e5,op(e0,e5))&(op(op(e5,e1),e0)=op(e5,op(e1,e0))&(op(op(e5,e1),e1)=op(e5,op(e1,e1))&(op(op(e5,e1),e2)=op(e5,op(e1,e2))&(op(op(e5,e1),e3)=op(e5,op(e1,e3))&(op(op(e5,e1),e4)=op(e5,op(e1,e4))&(op(op(e5,e1),e5)=op(e5,op(e1,e5))&(op(op(e5,e2),e0)=op(e5,op(e2,e0))&(op(op(e5,e2),e1)=op(e5,op(e2,e1))&(op(op(e5,e2),e2)=op(e5,op(e2,e2))&(op(op(e5,e2),e3)=op(e5,op(e2,e3))&(op(op(e5,e2),e4)=op(e5,op(e2,e4))&(op(op(e5,e2),e5)=op(e5,op(e2,e5))&(op(op(e5,e3),e0)=op(e5,op(e3,e0))&(op(op(e5,e3),e1)=op(e5,op(e3,e1))&(op(op(e5,e3),e2)=op(e5,op(e3,e2))&(op(op(e5,e3),e3)=op(e5,op(e3,e3))&(op(op(e5,e3),e4)=op(e5,op(e3,e4))&(op(op(e5,e3),e5)=op(e5,op(e3,e5))&(op(op(e5,e4),e0)=op(e5,op(e4,e0))&(op(op(e5,e4),e1)=op(e5,op(e4,e1))&(op(op(e5,e4),e2)=op(e5,op(e4,e2))&(op(op(e5,e4),e3)=op(e5,op(e4,e3))&(op(op(e5,e4),e4)=op(e5,op(e4,e4))&(op(op(e5,e4),e5)=op(e5,op(e4,e5))&(op(op(e5,e5),e0)=op(e5,op(e5,e0))&(op(op(e5,e5),e1)=op(e5,op(e5,e1))&(op(op(e5,e5),e2)=op(e5,op(e5,e2))&(op(op(e5,e5),e3)=op(e5,op(e5,e3))&(op(op(e5,e5),e4)=op(e5,op(e5,e4))&op(op(e5,e5),e5)=op(e5,op(e5,e5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),input).+% 0.08/0.35 fof(ax2_0,plain,(op(op(e0,e0),e0)=op(e0,op(e0,e0))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_1,plain,(op(op(e0,e0),e1)=op(e0,op(e0,e1))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_2,plain,(op(op(e0,e0),e2)=op(e0,op(e0,e2))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_3,plain,(op(op(e0,e0),e3)=op(e0,op(e0,e3))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_4,plain,(op(op(e0,e0),e4)=op(e0,op(e0,e4))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_5,plain,(op(op(e0,e0),e5)=op(e0,op(e0,e5))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_6,plain,(op(op(e0,e1),e0)=op(e0,op(e1,e0))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_7,plain,(op(op(e0,e1),e1)=op(e0,op(e1,e1))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_8,plain,(op(op(e0,e1),e2)=op(e0,op(e1,e2))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_9,plain,(op(op(e0,e1),e3)=op(e0,op(e1,e3))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_10,plain,(op(op(e0,e1),e4)=op(e0,op(e1,e4))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_11,plain,(op(op(e0,e1),e5)=op(e0,op(e1,e5))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_12,plain,(op(op(e0,e2),e0)=op(e0,op(e2,e0))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_13,plain,(op(op(e0,e2),e1)=op(e0,op(e2,e1))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_14,plain,(op(op(e0,e2),e2)=op(e0,op(e2,e2))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_15,plain,(op(op(e0,e2),e3)=op(e0,op(e2,e3))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_16,plain,(op(op(e0,e2),e4)=op(e0,op(e2,e4))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_17,plain,(op(op(e0,e2),e5)=op(e0,op(e2,e5))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_18,plain,(op(op(e0,e3),e0)=op(e0,op(e3,e0))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_19,plain,(op(op(e0,e3),e1)=op(e0,op(e3,e1))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_20,plain,(op(op(e0,e3),e2)=op(e0,op(e3,e2))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_21,plain,(op(op(e0,e3),e3)=op(e0,op(e3,e3))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_22,plain,(op(op(e0,e3),e4)=op(e0,op(e3,e4))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_23,plain,(op(op(e0,e3),e5)=op(e0,op(e3,e5))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_24,plain,(op(op(e0,e4),e0)=op(e0,op(e4,e0))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_25,plain,(op(op(e0,e4),e1)=op(e0,op(e4,e1))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_26,plain,(op(op(e0,e4),e2)=op(e0,op(e4,e2))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_27,plain,(op(op(e0,e4),e3)=op(e0,op(e4,e3))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_28,plain,(op(op(e0,e4),e4)=op(e0,op(e4,e4))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_29,plain,(op(op(e0,e4),e5)=op(e0,op(e4,e5))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_30,plain,(op(op(e0,e5),e0)=op(e0,op(e5,e0))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_31,plain,(op(op(e0,e5),e1)=op(e0,op(e5,e1))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_32,plain,(op(op(e0,e5),e2)=op(e0,op(e5,e2))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_33,plain,(op(op(e0,e5),e3)=op(e0,op(e5,e3))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_34,plain,(op(op(e0,e5),e4)=op(e0,op(e5,e4))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_35,plain,(op(op(e0,e5),e5)=op(e0,op(e5,e5))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_36,plain,(op(op(e1,e0),e0)=op(e1,op(e0,e0))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_37,plain,(op(op(e1,e0),e1)=op(e1,op(e0,e1))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_38,plain,(op(op(e1,e0),e2)=op(e1,op(e0,e2))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_39,plain,(op(op(e1,e0),e3)=op(e1,op(e0,e3))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_40,plain,(op(op(e1,e0),e4)=op(e1,op(e0,e4))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_41,plain,(op(op(e1,e0),e5)=op(e1,op(e0,e5))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_42,plain,(op(op(e1,e1),e0)=op(e1,op(e1,e0))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_43,plain,(op(op(e1,e1),e1)=op(e1,op(e1,e1))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_44,plain,(op(op(e1,e1),e2)=op(e1,op(e1,e2))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_45,plain,(op(op(e1,e1),e3)=op(e1,op(e1,e3))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_46,plain,(op(op(e1,e1),e4)=op(e1,op(e1,e4))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_47,plain,(op(op(e1,e1),e5)=op(e1,op(e1,e5))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_48,plain,(op(op(e1,e2),e0)=op(e1,op(e2,e0))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_49,plain,(op(op(e1,e2),e1)=op(e1,op(e2,e1))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_50,plain,(op(op(e1,e2),e2)=op(e1,op(e2,e2))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_51,plain,(op(op(e1,e2),e3)=op(e1,op(e2,e3))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_52,plain,(op(op(e1,e2),e4)=op(e1,op(e2,e4))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_53,plain,(op(op(e1,e2),e5)=op(e1,op(e2,e5))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_54,plain,(op(op(e1,e3),e0)=op(e1,op(e3,e0))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_55,plain,(op(op(e1,e3),e1)=op(e1,op(e3,e1))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.35 fof(ax2_56,plain,(op(op(e1,e3),e2)=op(e1,op(e3,e2))+% 0.08/0.35 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_57,plain,(op(op(e1,e3),e3)=op(e1,op(e3,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_58,plain,(op(op(e1,e3),e4)=op(e1,op(e3,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_59,plain,(op(op(e1,e3),e5)=op(e1,op(e3,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_60,plain,(op(op(e1,e4),e0)=op(e1,op(e4,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_61,plain,(op(op(e1,e4),e1)=op(e1,op(e4,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_62,plain,(op(op(e1,e4),e2)=op(e1,op(e4,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_63,plain,(op(op(e1,e4),e3)=op(e1,op(e4,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_64,plain,(op(op(e1,e4),e4)=op(e1,op(e4,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_65,plain,(op(op(e1,e4),e5)=op(e1,op(e4,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_66,plain,(op(op(e1,e5),e0)=op(e1,op(e5,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_67,plain,(op(op(e1,e5),e1)=op(e1,op(e5,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_68,plain,(op(op(e1,e5),e2)=op(e1,op(e5,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_69,plain,(op(op(e1,e5),e3)=op(e1,op(e5,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_70,plain,(op(op(e1,e5),e4)=op(e1,op(e5,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_71,plain,(op(op(e1,e5),e5)=op(e1,op(e5,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_72,plain,(op(op(e2,e0),e0)=op(e2,op(e0,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_73,plain,(op(op(e2,e0),e1)=op(e2,op(e0,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_74,plain,(op(op(e2,e0),e2)=op(e2,op(e0,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_75,plain,(op(op(e2,e0),e3)=op(e2,op(e0,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_76,plain,(op(op(e2,e0),e4)=op(e2,op(e0,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_77,plain,(op(op(e2,e0),e5)=op(e2,op(e0,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_78,plain,(op(op(e2,e1),e0)=op(e2,op(e1,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_79,plain,(op(op(e2,e1),e1)=op(e2,op(e1,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_80,plain,(op(op(e2,e1),e2)=op(e2,op(e1,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_81,plain,(op(op(e2,e1),e3)=op(e2,op(e1,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_82,plain,(op(op(e2,e1),e4)=op(e2,op(e1,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_83,plain,(op(op(e2,e1),e5)=op(e2,op(e1,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_84,plain,(op(op(e2,e2),e0)=op(e2,op(e2,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_85,plain,(op(op(e2,e2),e1)=op(e2,op(e2,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_86,plain,(op(op(e2,e2),e2)=op(e2,op(e2,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_87,plain,(op(op(e2,e2),e3)=op(e2,op(e2,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_88,plain,(op(op(e2,e2),e4)=op(e2,op(e2,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_89,plain,(op(op(e2,e2),e5)=op(e2,op(e2,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_90,plain,(op(op(e2,e3),e0)=op(e2,op(e3,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_91,plain,(op(op(e2,e3),e1)=op(e2,op(e3,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_92,plain,(op(op(e2,e3),e2)=op(e2,op(e3,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_93,plain,(op(op(e2,e3),e3)=op(e2,op(e3,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_94,plain,(op(op(e2,e3),e4)=op(e2,op(e3,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_95,plain,(op(op(e2,e3),e5)=op(e2,op(e3,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_96,plain,(op(op(e2,e4),e0)=op(e2,op(e4,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_97,plain,(op(op(e2,e4),e1)=op(e2,op(e4,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_98,plain,(op(op(e2,e4),e2)=op(e2,op(e4,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_99,plain,(op(op(e2,e4),e3)=op(e2,op(e4,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_100,plain,(op(op(e2,e4),e4)=op(e2,op(e4,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_101,plain,(op(op(e2,e4),e5)=op(e2,op(e4,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_102,plain,(op(op(e2,e5),e0)=op(e2,op(e5,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_103,plain,(op(op(e2,e5),e1)=op(e2,op(e5,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_104,plain,(op(op(e2,e5),e2)=op(e2,op(e5,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_105,plain,(op(op(e2,e5),e3)=op(e2,op(e5,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_106,plain,(op(op(e2,e5),e4)=op(e2,op(e5,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_107,plain,(op(op(e2,e5),e5)=op(e2,op(e5,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_108,plain,(op(op(e3,e0),e0)=op(e3,op(e0,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_109,plain,(op(op(e3,e0),e1)=op(e3,op(e0,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_110,plain,(op(op(e3,e0),e2)=op(e3,op(e0,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_111,plain,(op(op(e3,e0),e3)=op(e3,op(e0,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_112,plain,(op(op(e3,e0),e4)=op(e3,op(e0,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_113,plain,(op(op(e3,e0),e5)=op(e3,op(e0,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_114,plain,(op(op(e3,e1),e0)=op(e3,op(e1,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_115,plain,(op(op(e3,e1),e1)=op(e3,op(e1,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_116,plain,(op(op(e3,e1),e2)=op(e3,op(e1,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_117,plain,(op(op(e3,e1),e3)=op(e3,op(e1,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_118,plain,(op(op(e3,e1),e4)=op(e3,op(e1,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_119,plain,(op(op(e3,e1),e5)=op(e3,op(e1,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_120,plain,(op(op(e3,e2),e0)=op(e3,op(e2,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_121,plain,(op(op(e3,e2),e1)=op(e3,op(e2,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_122,plain,(op(op(e3,e2),e2)=op(e3,op(e2,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_123,plain,(op(op(e3,e2),e3)=op(e3,op(e2,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_124,plain,(op(op(e3,e2),e4)=op(e3,op(e2,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_125,plain,(op(op(e3,e2),e5)=op(e3,op(e2,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_126,plain,(op(op(e3,e3),e0)=op(e3,op(e3,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_127,plain,(op(op(e3,e3),e1)=op(e3,op(e3,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_128,plain,(op(op(e3,e3),e2)=op(e3,op(e3,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_129,plain,(op(op(e3,e3),e3)=op(e3,op(e3,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_130,plain,(op(op(e3,e3),e4)=op(e3,op(e3,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_131,plain,(op(op(e3,e3),e5)=op(e3,op(e3,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_132,plain,(op(op(e3,e4),e0)=op(e3,op(e4,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_133,plain,(op(op(e3,e4),e1)=op(e3,op(e4,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_134,plain,(op(op(e3,e4),e2)=op(e3,op(e4,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_135,plain,(op(op(e3,e4),e3)=op(e3,op(e4,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_136,plain,(op(op(e3,e4),e4)=op(e3,op(e4,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_137,plain,(op(op(e3,e4),e5)=op(e3,op(e4,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_138,plain,(op(op(e3,e5),e0)=op(e3,op(e5,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_139,plain,(op(op(e3,e5),e1)=op(e3,op(e5,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_140,plain,(op(op(e3,e5),e2)=op(e3,op(e5,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_141,plain,(op(op(e3,e5),e3)=op(e3,op(e5,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_142,plain,(op(op(e3,e5),e4)=op(e3,op(e5,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_143,plain,(op(op(e3,e5),e5)=op(e3,op(e5,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_144,plain,(op(op(e4,e0),e0)=op(e4,op(e0,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_145,plain,(op(op(e4,e0),e1)=op(e4,op(e0,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_146,plain,(op(op(e4,e0),e2)=op(e4,op(e0,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_147,plain,(op(op(e4,e0),e3)=op(e4,op(e0,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_148,plain,(op(op(e4,e0),e4)=op(e4,op(e0,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_149,plain,(op(op(e4,e0),e5)=op(e4,op(e0,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_150,plain,(op(op(e4,e1),e0)=op(e4,op(e1,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_151,plain,(op(op(e4,e1),e1)=op(e4,op(e1,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_152,plain,(op(op(e4,e1),e2)=op(e4,op(e1,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_153,plain,(op(op(e4,e1),e3)=op(e4,op(e1,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_154,plain,(op(op(e4,e1),e4)=op(e4,op(e1,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_155,plain,(op(op(e4,e1),e5)=op(e4,op(e1,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_156,plain,(op(op(e4,e2),e0)=op(e4,op(e2,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_157,plain,(op(op(e4,e2),e1)=op(e4,op(e2,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_158,plain,(op(op(e4,e2),e2)=op(e4,op(e2,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_159,plain,(op(op(e4,e2),e3)=op(e4,op(e2,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_160,plain,(op(op(e4,e2),e4)=op(e4,op(e2,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_161,plain,(op(op(e4,e2),e5)=op(e4,op(e2,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_162,plain,(op(op(e4,e3),e0)=op(e4,op(e3,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_163,plain,(op(op(e4,e3),e1)=op(e4,op(e3,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_164,plain,(op(op(e4,e3),e2)=op(e4,op(e3,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_165,plain,(op(op(e4,e3),e3)=op(e4,op(e3,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_166,plain,(op(op(e4,e3),e4)=op(e4,op(e3,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_167,plain,(op(op(e4,e3),e5)=op(e4,op(e3,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_168,plain,(op(op(e4,e4),e0)=op(e4,op(e4,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_169,plain,(op(op(e4,e4),e1)=op(e4,op(e4,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_170,plain,(op(op(e4,e4),e2)=op(e4,op(e4,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_171,plain,(op(op(e4,e4),e3)=op(e4,op(e4,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_172,plain,(op(op(e4,e4),e4)=op(e4,op(e4,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_173,plain,(op(op(e4,e4),e5)=op(e4,op(e4,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_174,plain,(op(op(e4,e5),e0)=op(e4,op(e5,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_175,plain,(op(op(e4,e5),e1)=op(e4,op(e5,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_176,plain,(op(op(e4,e5),e2)=op(e4,op(e5,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_177,plain,(op(op(e4,e5),e3)=op(e4,op(e5,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_178,plain,(op(op(e4,e5),e4)=op(e4,op(e5,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_179,plain,(op(op(e4,e5),e5)=op(e4,op(e5,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_180,plain,(op(op(e5,e0),e0)=op(e5,op(e0,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_181,plain,(op(op(e5,e0),e1)=op(e5,op(e0,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_182,plain,(op(op(e5,e0),e2)=op(e5,op(e0,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_183,plain,(op(op(e5,e0),e3)=op(e5,op(e0,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_184,plain,(op(op(e5,e0),e4)=op(e5,op(e0,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_185,plain,(op(op(e5,e0),e5)=op(e5,op(e0,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_186,plain,(op(op(e5,e1),e0)=op(e5,op(e1,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_187,plain,(op(op(e5,e1),e1)=op(e5,op(e1,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_188,plain,(op(op(e5,e1),e2)=op(e5,op(e1,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_189,plain,(op(op(e5,e1),e3)=op(e5,op(e1,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_190,plain,(op(op(e5,e1),e4)=op(e5,op(e1,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_191,plain,(op(op(e5,e1),e5)=op(e5,op(e1,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_192,plain,(op(op(e5,e2),e0)=op(e5,op(e2,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_193,plain,(op(op(e5,e2),e1)=op(e5,op(e2,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_194,plain,(op(op(e5,e2),e2)=op(e5,op(e2,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_195,plain,(op(op(e5,e2),e3)=op(e5,op(e2,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_196,plain,(op(op(e5,e2),e4)=op(e5,op(e2,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_197,plain,(op(op(e5,e2),e5)=op(e5,op(e2,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_198,plain,(op(op(e5,e3),e0)=op(e5,op(e3,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_199,plain,(op(op(e5,e3),e1)=op(e5,op(e3,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_200,plain,(op(op(e5,e3),e2)=op(e5,op(e3,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_201,plain,(op(op(e5,e3),e3)=op(e5,op(e3,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_202,plain,(op(op(e5,e3),e4)=op(e5,op(e3,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_203,plain,(op(op(e5,e3),e5)=op(e5,op(e3,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_204,plain,(op(op(e5,e4),e0)=op(e5,op(e4,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_205,plain,(op(op(e5,e4),e1)=op(e5,op(e4,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_206,plain,(op(op(e5,e4),e2)=op(e5,op(e4,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_207,plain,(op(op(e5,e4),e3)=op(e5,op(e4,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_208,plain,(op(op(e5,e4),e4)=op(e5,op(e4,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_209,plain,(op(op(e5,e4),e5)=op(e5,op(e4,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_210,plain,(op(op(e5,e5),e0)=op(e5,op(e5,e0))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_211,plain,(op(op(e5,e5),e1)=op(e5,op(e5,e1))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_212,plain,(op(op(e5,e5),e2)=op(e5,op(e5,e2))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_213,plain,(op(op(e5,e5),e3)=op(e5,op(e5,e3))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_214,plain,(op(op(e5,e5),e4)=op(e5,op(e5,e4))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(ax2_215,plain,(op(op(e5,e5),e5)=op(e5,op(e5,e5))+% 0.08/0.36 |$false),inference(orientation, [status(thm)], [ax2])).+% 0.08/0.36 fof(def_lhs_atom1, axiom, (lhs_atom1 <=> op(op(e5,e5),e5)=op(e5,op(e5,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_0, plain, (lhs_atom1+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_215, def_lhs_atom1])).+% 0.08/0.36 fof(def_lhs_atom2, axiom, (lhs_atom2 <=> op(op(e5,e5),e4)=op(e5,op(e5,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_1, plain, (lhs_atom2+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_214, def_lhs_atom2])).+% 0.08/0.36 fof(def_lhs_atom3, axiom, (lhs_atom3 <=> op(op(e5,e5),e3)=op(e5,op(e5,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_2, plain, (lhs_atom3+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_213, def_lhs_atom3])).+% 0.08/0.36 fof(def_lhs_atom4, axiom, (lhs_atom4 <=> op(op(e5,e5),e2)=op(e5,op(e5,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_3, plain, (lhs_atom4+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_212, def_lhs_atom4])).+% 0.08/0.36 fof(def_lhs_atom5, axiom, (lhs_atom5 <=> op(op(e5,e5),e1)=op(e5,op(e5,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_4, plain, (lhs_atom5+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_211, def_lhs_atom5])).+% 0.08/0.36 fof(def_lhs_atom6, axiom, (lhs_atom6 <=> op(op(e5,e5),e0)=op(e5,op(e5,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_5, plain, (lhs_atom6+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_210, def_lhs_atom6])).+% 0.08/0.36 fof(def_lhs_atom7, axiom, (lhs_atom7 <=> op(op(e5,e4),e5)=op(e5,op(e4,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_6, plain, (lhs_atom7+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_209, def_lhs_atom7])).+% 0.08/0.36 fof(def_lhs_atom8, axiom, (lhs_atom8 <=> op(op(e5,e4),e4)=op(e5,op(e4,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_7, plain, (lhs_atom8+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_208, def_lhs_atom8])).+% 0.08/0.36 fof(def_lhs_atom9, axiom, (lhs_atom9 <=> op(op(e5,e4),e3)=op(e5,op(e4,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_8, plain, (lhs_atom9+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_207, def_lhs_atom9])).+% 0.08/0.36 fof(def_lhs_atom10, axiom, (lhs_atom10 <=> op(op(e5,e4),e2)=op(e5,op(e4,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_9, plain, (lhs_atom10+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_206, def_lhs_atom10])).+% 0.08/0.36 fof(def_lhs_atom11, axiom, (lhs_atom11 <=> op(op(e5,e4),e1)=op(e5,op(e4,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_10, plain, (lhs_atom11+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_205, def_lhs_atom11])).+% 0.08/0.36 fof(def_lhs_atom12, axiom, (lhs_atom12 <=> op(op(e5,e4),e0)=op(e5,op(e4,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_11, plain, (lhs_atom12+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_204, def_lhs_atom12])).+% 0.08/0.36 fof(def_lhs_atom13, axiom, (lhs_atom13 <=> op(op(e5,e3),e5)=op(e5,op(e3,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_12, plain, (lhs_atom13+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_203, def_lhs_atom13])).+% 0.08/0.36 fof(def_lhs_atom14, axiom, (lhs_atom14 <=> op(op(e5,e3),e4)=op(e5,op(e3,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_13, plain, (lhs_atom14+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_202, def_lhs_atom14])).+% 0.08/0.36 fof(def_lhs_atom15, axiom, (lhs_atom15 <=> op(op(e5,e3),e3)=op(e5,op(e3,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_14, plain, (lhs_atom15+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_201, def_lhs_atom15])).+% 0.08/0.36 fof(def_lhs_atom16, axiom, (lhs_atom16 <=> op(op(e5,e3),e2)=op(e5,op(e3,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_15, plain, (lhs_atom16+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_200, def_lhs_atom16])).+% 0.08/0.36 fof(def_lhs_atom17, axiom, (lhs_atom17 <=> op(op(e5,e3),e1)=op(e5,op(e3,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_16, plain, (lhs_atom17+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_199, def_lhs_atom17])).+% 0.08/0.36 fof(def_lhs_atom18, axiom, (lhs_atom18 <=> op(op(e5,e3),e0)=op(e5,op(e3,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_17, plain, (lhs_atom18+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_198, def_lhs_atom18])).+% 0.08/0.36 fof(def_lhs_atom19, axiom, (lhs_atom19 <=> op(op(e5,e2),e5)=op(e5,op(e2,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_18, plain, (lhs_atom19+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_197, def_lhs_atom19])).+% 0.08/0.36 fof(def_lhs_atom20, axiom, (lhs_atom20 <=> op(op(e5,e2),e4)=op(e5,op(e2,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_19, plain, (lhs_atom20+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_196, def_lhs_atom20])).+% 0.08/0.36 fof(def_lhs_atom21, axiom, (lhs_atom21 <=> op(op(e5,e2),e3)=op(e5,op(e2,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_20, plain, (lhs_atom21+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_195, def_lhs_atom21])).+% 0.08/0.36 fof(def_lhs_atom22, axiom, (lhs_atom22 <=> op(op(e5,e2),e2)=op(e5,op(e2,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_21, plain, (lhs_atom22+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_194, def_lhs_atom22])).+% 0.08/0.36 fof(def_lhs_atom23, axiom, (lhs_atom23 <=> op(op(e5,e2),e1)=op(e5,op(e2,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_22, plain, (lhs_atom23+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_193, def_lhs_atom23])).+% 0.08/0.36 fof(def_lhs_atom24, axiom, (lhs_atom24 <=> op(op(e5,e2),e0)=op(e5,op(e2,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_23, plain, (lhs_atom24+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_192, def_lhs_atom24])).+% 0.08/0.36 fof(def_lhs_atom25, axiom, (lhs_atom25 <=> op(op(e5,e1),e5)=op(e5,op(e1,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_24, plain, (lhs_atom25+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_191, def_lhs_atom25])).+% 0.08/0.36 fof(def_lhs_atom26, axiom, (lhs_atom26 <=> op(op(e5,e1),e4)=op(e5,op(e1,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_25, plain, (lhs_atom26+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_190, def_lhs_atom26])).+% 0.08/0.36 fof(def_lhs_atom27, axiom, (lhs_atom27 <=> op(op(e5,e1),e3)=op(e5,op(e1,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_26, plain, (lhs_atom27+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_189, def_lhs_atom27])).+% 0.08/0.36 fof(def_lhs_atom28, axiom, (lhs_atom28 <=> op(op(e5,e1),e2)=op(e5,op(e1,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_27, plain, (lhs_atom28+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_188, def_lhs_atom28])).+% 0.08/0.36 fof(def_lhs_atom29, axiom, (lhs_atom29 <=> op(op(e5,e1),e1)=op(e5,op(e1,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_28, plain, (lhs_atom29+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_187, def_lhs_atom29])).+% 0.08/0.36 fof(def_lhs_atom30, axiom, (lhs_atom30 <=> op(op(e5,e1),e0)=op(e5,op(e1,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_29, plain, (lhs_atom30+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_186, def_lhs_atom30])).+% 0.08/0.36 fof(def_lhs_atom31, axiom, (lhs_atom31 <=> op(op(e5,e0),e5)=op(e5,op(e0,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_30, plain, (lhs_atom31+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_185, def_lhs_atom31])).+% 0.08/0.36 fof(def_lhs_atom32, axiom, (lhs_atom32 <=> op(op(e5,e0),e4)=op(e5,op(e0,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_31, plain, (lhs_atom32+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_184, def_lhs_atom32])).+% 0.08/0.36 fof(def_lhs_atom33, axiom, (lhs_atom33 <=> op(op(e5,e0),e3)=op(e5,op(e0,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_32, plain, (lhs_atom33+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_183, def_lhs_atom33])).+% 0.08/0.36 fof(def_lhs_atom34, axiom, (lhs_atom34 <=> op(op(e5,e0),e2)=op(e5,op(e0,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_33, plain, (lhs_atom34+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_182, def_lhs_atom34])).+% 0.08/0.36 fof(def_lhs_atom35, axiom, (lhs_atom35 <=> op(op(e5,e0),e1)=op(e5,op(e0,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_34, plain, (lhs_atom35+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_181, def_lhs_atom35])).+% 0.08/0.36 fof(def_lhs_atom36, axiom, (lhs_atom36 <=> op(op(e5,e0),e0)=op(e5,op(e0,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_35, plain, (lhs_atom36+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_180, def_lhs_atom36])).+% 0.08/0.36 fof(def_lhs_atom37, axiom, (lhs_atom37 <=> op(op(e4,e5),e5)=op(e4,op(e5,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_36, plain, (lhs_atom37+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_179, def_lhs_atom37])).+% 0.08/0.36 fof(def_lhs_atom38, axiom, (lhs_atom38 <=> op(op(e4,e5),e4)=op(e4,op(e5,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_37, plain, (lhs_atom38+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_178, def_lhs_atom38])).+% 0.08/0.36 fof(def_lhs_atom39, axiom, (lhs_atom39 <=> op(op(e4,e5),e3)=op(e4,op(e5,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_38, plain, (lhs_atom39+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_177, def_lhs_atom39])).+% 0.08/0.36 fof(def_lhs_atom40, axiom, (lhs_atom40 <=> op(op(e4,e5),e2)=op(e4,op(e5,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_39, plain, (lhs_atom40+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_176, def_lhs_atom40])).+% 0.08/0.36 fof(def_lhs_atom41, axiom, (lhs_atom41 <=> op(op(e4,e5),e1)=op(e4,op(e5,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_40, plain, (lhs_atom41+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_175, def_lhs_atom41])).+% 0.08/0.36 fof(def_lhs_atom42, axiom, (lhs_atom42 <=> op(op(e4,e5),e0)=op(e4,op(e5,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_41, plain, (lhs_atom42+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_174, def_lhs_atom42])).+% 0.08/0.36 fof(def_lhs_atom43, axiom, (lhs_atom43 <=> op(op(e4,e4),e5)=op(e4,op(e4,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_42, plain, (lhs_atom43+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_173, def_lhs_atom43])).+% 0.08/0.36 fof(def_lhs_atom44, axiom, (lhs_atom44 <=> op(op(e4,e4),e4)=op(e4,op(e4,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_43, plain, (lhs_atom44+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_172, def_lhs_atom44])).+% 0.08/0.36 fof(def_lhs_atom45, axiom, (lhs_atom45 <=> op(op(e4,e4),e3)=op(e4,op(e4,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_44, plain, (lhs_atom45+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_171, def_lhs_atom45])).+% 0.08/0.36 fof(def_lhs_atom46, axiom, (lhs_atom46 <=> op(op(e4,e4),e2)=op(e4,op(e4,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_45, plain, (lhs_atom46+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_170, def_lhs_atom46])).+% 0.08/0.36 fof(def_lhs_atom47, axiom, (lhs_atom47 <=> op(op(e4,e4),e1)=op(e4,op(e4,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_46, plain, (lhs_atom47+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_169, def_lhs_atom47])).+% 0.08/0.36 fof(def_lhs_atom48, axiom, (lhs_atom48 <=> op(op(e4,e4),e0)=op(e4,op(e4,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_47, plain, (lhs_atom48+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_168, def_lhs_atom48])).+% 0.08/0.36 fof(def_lhs_atom49, axiom, (lhs_atom49 <=> op(op(e4,e3),e5)=op(e4,op(e3,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_48, plain, (lhs_atom49+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_167, def_lhs_atom49])).+% 0.08/0.36 fof(def_lhs_atom50, axiom, (lhs_atom50 <=> op(op(e4,e3),e4)=op(e4,op(e3,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_49, plain, (lhs_atom50+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_166, def_lhs_atom50])).+% 0.08/0.36 fof(def_lhs_atom51, axiom, (lhs_atom51 <=> op(op(e4,e3),e3)=op(e4,op(e3,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_50, plain, (lhs_atom51+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_165, def_lhs_atom51])).+% 0.08/0.36 fof(def_lhs_atom52, axiom, (lhs_atom52 <=> op(op(e4,e3),e2)=op(e4,op(e3,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_51, plain, (lhs_atom52+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_164, def_lhs_atom52])).+% 0.08/0.36 fof(def_lhs_atom53, axiom, (lhs_atom53 <=> op(op(e4,e3),e1)=op(e4,op(e3,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_52, plain, (lhs_atom53+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_163, def_lhs_atom53])).+% 0.08/0.36 fof(def_lhs_atom54, axiom, (lhs_atom54 <=> op(op(e4,e3),e0)=op(e4,op(e3,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_53, plain, (lhs_atom54+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_162, def_lhs_atom54])).+% 0.08/0.36 fof(def_lhs_atom55, axiom, (lhs_atom55 <=> op(op(e4,e2),e5)=op(e4,op(e2,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_54, plain, (lhs_atom55+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_161, def_lhs_atom55])).+% 0.08/0.36 fof(def_lhs_atom56, axiom, (lhs_atom56 <=> op(op(e4,e2),e4)=op(e4,op(e2,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_55, plain, (lhs_atom56+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_160, def_lhs_atom56])).+% 0.08/0.36 fof(def_lhs_atom57, axiom, (lhs_atom57 <=> op(op(e4,e2),e3)=op(e4,op(e2,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_56, plain, (lhs_atom57+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_159, def_lhs_atom57])).+% 0.08/0.36 fof(def_lhs_atom58, axiom, (lhs_atom58 <=> op(op(e4,e2),e2)=op(e4,op(e2,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_57, plain, (lhs_atom58+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_158, def_lhs_atom58])).+% 0.08/0.36 fof(def_lhs_atom59, axiom, (lhs_atom59 <=> op(op(e4,e2),e1)=op(e4,op(e2,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_58, plain, (lhs_atom59+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_157, def_lhs_atom59])).+% 0.08/0.36 fof(def_lhs_atom60, axiom, (lhs_atom60 <=> op(op(e4,e2),e0)=op(e4,op(e2,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_59, plain, (lhs_atom60+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_156, def_lhs_atom60])).+% 0.08/0.36 fof(def_lhs_atom61, axiom, (lhs_atom61 <=> op(op(e4,e1),e5)=op(e4,op(e1,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_60, plain, (lhs_atom61+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_155, def_lhs_atom61])).+% 0.08/0.36 fof(def_lhs_atom62, axiom, (lhs_atom62 <=> op(op(e4,e1),e4)=op(e4,op(e1,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_61, plain, (lhs_atom62+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_154, def_lhs_atom62])).+% 0.08/0.36 fof(def_lhs_atom63, axiom, (lhs_atom63 <=> op(op(e4,e1),e3)=op(e4,op(e1,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_62, plain, (lhs_atom63+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_153, def_lhs_atom63])).+% 0.08/0.36 fof(def_lhs_atom64, axiom, (lhs_atom64 <=> op(op(e4,e1),e2)=op(e4,op(e1,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_63, plain, (lhs_atom64+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_152, def_lhs_atom64])).+% 0.08/0.36 fof(def_lhs_atom65, axiom, (lhs_atom65 <=> op(op(e4,e1),e1)=op(e4,op(e1,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_64, plain, (lhs_atom65+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_151, def_lhs_atom65])).+% 0.08/0.36 fof(def_lhs_atom66, axiom, (lhs_atom66 <=> op(op(e4,e1),e0)=op(e4,op(e1,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_65, plain, (lhs_atom66+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_150, def_lhs_atom66])).+% 0.08/0.36 fof(def_lhs_atom67, axiom, (lhs_atom67 <=> op(op(e4,e0),e5)=op(e4,op(e0,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_66, plain, (lhs_atom67+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_149, def_lhs_atom67])).+% 0.08/0.36 fof(def_lhs_atom68, axiom, (lhs_atom68 <=> op(op(e4,e0),e4)=op(e4,op(e0,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_67, plain, (lhs_atom68+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_148, def_lhs_atom68])).+% 0.08/0.36 fof(def_lhs_atom69, axiom, (lhs_atom69 <=> op(op(e4,e0),e3)=op(e4,op(e0,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_68, plain, (lhs_atom69+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_147, def_lhs_atom69])).+% 0.08/0.36 fof(def_lhs_atom70, axiom, (lhs_atom70 <=> op(op(e4,e0),e2)=op(e4,op(e0,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_69, plain, (lhs_atom70+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_146, def_lhs_atom70])).+% 0.08/0.36 fof(def_lhs_atom71, axiom, (lhs_atom71 <=> op(op(e4,e0),e1)=op(e4,op(e0,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_70, plain, (lhs_atom71+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_145, def_lhs_atom71])).+% 0.08/0.36 fof(def_lhs_atom72, axiom, (lhs_atom72 <=> op(op(e4,e0),e0)=op(e4,op(e0,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_71, plain, (lhs_atom72+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_144, def_lhs_atom72])).+% 0.08/0.36 fof(def_lhs_atom73, axiom, (lhs_atom73 <=> op(op(e3,e5),e5)=op(e3,op(e5,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_72, plain, (lhs_atom73+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_143, def_lhs_atom73])).+% 0.08/0.36 fof(def_lhs_atom74, axiom, (lhs_atom74 <=> op(op(e3,e5),e4)=op(e3,op(e5,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_73, plain, (lhs_atom74+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_142, def_lhs_atom74])).+% 0.08/0.36 fof(def_lhs_atom75, axiom, (lhs_atom75 <=> op(op(e3,e5),e3)=op(e3,op(e5,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_74, plain, (lhs_atom75+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_141, def_lhs_atom75])).+% 0.08/0.36 fof(def_lhs_atom76, axiom, (lhs_atom76 <=> op(op(e3,e5),e2)=op(e3,op(e5,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_75, plain, (lhs_atom76+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_140, def_lhs_atom76])).+% 0.08/0.36 fof(def_lhs_atom77, axiom, (lhs_atom77 <=> op(op(e3,e5),e1)=op(e3,op(e5,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_76, plain, (lhs_atom77+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_139, def_lhs_atom77])).+% 0.08/0.36 fof(def_lhs_atom78, axiom, (lhs_atom78 <=> op(op(e3,e5),e0)=op(e3,op(e5,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_77, plain, (lhs_atom78+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_138, def_lhs_atom78])).+% 0.08/0.36 fof(def_lhs_atom79, axiom, (lhs_atom79 <=> op(op(e3,e4),e5)=op(e3,op(e4,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_78, plain, (lhs_atom79+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_137, def_lhs_atom79])).+% 0.08/0.36 fof(def_lhs_atom80, axiom, (lhs_atom80 <=> op(op(e3,e4),e4)=op(e3,op(e4,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_79, plain, (lhs_atom80+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_136, def_lhs_atom80])).+% 0.08/0.36 fof(def_lhs_atom81, axiom, (lhs_atom81 <=> op(op(e3,e4),e3)=op(e3,op(e4,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_80, plain, (lhs_atom81+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_135, def_lhs_atom81])).+% 0.08/0.36 fof(def_lhs_atom82, axiom, (lhs_atom82 <=> op(op(e3,e4),e2)=op(e3,op(e4,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_81, plain, (lhs_atom82+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_134, def_lhs_atom82])).+% 0.08/0.36 fof(def_lhs_atom83, axiom, (lhs_atom83 <=> op(op(e3,e4),e1)=op(e3,op(e4,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_82, plain, (lhs_atom83+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_133, def_lhs_atom83])).+% 0.08/0.36 fof(def_lhs_atom84, axiom, (lhs_atom84 <=> op(op(e3,e4),e0)=op(e3,op(e4,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_83, plain, (lhs_atom84+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_132, def_lhs_atom84])).+% 0.08/0.36 fof(def_lhs_atom85, axiom, (lhs_atom85 <=> op(op(e3,e3),e5)=op(e3,op(e3,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_84, plain, (lhs_atom85+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_131, def_lhs_atom85])).+% 0.08/0.36 fof(def_lhs_atom86, axiom, (lhs_atom86 <=> op(op(e3,e3),e4)=op(e3,op(e3,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_85, plain, (lhs_atom86+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_130, def_lhs_atom86])).+% 0.08/0.36 fof(def_lhs_atom87, axiom, (lhs_atom87 <=> op(op(e3,e3),e3)=op(e3,op(e3,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_86, plain, (lhs_atom87+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_129, def_lhs_atom87])).+% 0.08/0.36 fof(def_lhs_atom88, axiom, (lhs_atom88 <=> op(op(e3,e3),e2)=op(e3,op(e3,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_87, plain, (lhs_atom88+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_128, def_lhs_atom88])).+% 0.08/0.36 fof(def_lhs_atom89, axiom, (lhs_atom89 <=> op(op(e3,e3),e1)=op(e3,op(e3,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_88, plain, (lhs_atom89+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_127, def_lhs_atom89])).+% 0.08/0.36 fof(def_lhs_atom90, axiom, (lhs_atom90 <=> op(op(e3,e3),e0)=op(e3,op(e3,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_89, plain, (lhs_atom90+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_126, def_lhs_atom90])).+% 0.08/0.36 fof(def_lhs_atom91, axiom, (lhs_atom91 <=> op(op(e3,e2),e5)=op(e3,op(e2,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_90, plain, (lhs_atom91+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_125, def_lhs_atom91])).+% 0.08/0.36 fof(def_lhs_atom92, axiom, (lhs_atom92 <=> op(op(e3,e2),e4)=op(e3,op(e2,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_91, plain, (lhs_atom92+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_124, def_lhs_atom92])).+% 0.08/0.36 fof(def_lhs_atom93, axiom, (lhs_atom93 <=> op(op(e3,e2),e3)=op(e3,op(e2,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_92, plain, (lhs_atom93+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_123, def_lhs_atom93])).+% 0.08/0.36 fof(def_lhs_atom94, axiom, (lhs_atom94 <=> op(op(e3,e2),e2)=op(e3,op(e2,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_93, plain, (lhs_atom94+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_122, def_lhs_atom94])).+% 0.08/0.36 fof(def_lhs_atom95, axiom, (lhs_atom95 <=> op(op(e3,e2),e1)=op(e3,op(e2,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_94, plain, (lhs_atom95+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_121, def_lhs_atom95])).+% 0.08/0.36 fof(def_lhs_atom96, axiom, (lhs_atom96 <=> op(op(e3,e2),e0)=op(e3,op(e2,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_95, plain, (lhs_atom96+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_120, def_lhs_atom96])).+% 0.08/0.36 fof(def_lhs_atom97, axiom, (lhs_atom97 <=> op(op(e3,e1),e5)=op(e3,op(e1,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_96, plain, (lhs_atom97+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_119, def_lhs_atom97])).+% 0.08/0.36 fof(def_lhs_atom98, axiom, (lhs_atom98 <=> op(op(e3,e1),e4)=op(e3,op(e1,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_97, plain, (lhs_atom98+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_118, def_lhs_atom98])).+% 0.08/0.36 fof(def_lhs_atom99, axiom, (lhs_atom99 <=> op(op(e3,e1),e3)=op(e3,op(e1,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_98, plain, (lhs_atom99+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_117, def_lhs_atom99])).+% 0.08/0.36 fof(def_lhs_atom100, axiom, (lhs_atom100 <=> op(op(e3,e1),e2)=op(e3,op(e1,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_99, plain, (lhs_atom100+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_116, def_lhs_atom100])).+% 0.08/0.36 fof(def_lhs_atom101, axiom, (lhs_atom101 <=> op(op(e3,e1),e1)=op(e3,op(e1,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_100, plain, (lhs_atom101+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_115, def_lhs_atom101])).+% 0.08/0.36 fof(def_lhs_atom102, axiom, (lhs_atom102 <=> op(op(e3,e1),e0)=op(e3,op(e1,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_101, plain, (lhs_atom102+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_114, def_lhs_atom102])).+% 0.08/0.36 fof(def_lhs_atom103, axiom, (lhs_atom103 <=> op(op(e3,e0),e5)=op(e3,op(e0,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_102, plain, (lhs_atom103+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_113, def_lhs_atom103])).+% 0.08/0.36 fof(def_lhs_atom104, axiom, (lhs_atom104 <=> op(op(e3,e0),e4)=op(e3,op(e0,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_103, plain, (lhs_atom104+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_112, def_lhs_atom104])).+% 0.08/0.36 fof(def_lhs_atom105, axiom, (lhs_atom105 <=> op(op(e3,e0),e3)=op(e3,op(e0,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_104, plain, (lhs_atom105+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_111, def_lhs_atom105])).+% 0.08/0.36 fof(def_lhs_atom106, axiom, (lhs_atom106 <=> op(op(e3,e0),e2)=op(e3,op(e0,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_105, plain, (lhs_atom106+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_110, def_lhs_atom106])).+% 0.08/0.36 fof(def_lhs_atom107, axiom, (lhs_atom107 <=> op(op(e3,e0),e1)=op(e3,op(e0,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_106, plain, (lhs_atom107+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_109, def_lhs_atom107])).+% 0.08/0.36 fof(def_lhs_atom108, axiom, (lhs_atom108 <=> op(op(e3,e0),e0)=op(e3,op(e0,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_107, plain, (lhs_atom108+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_108, def_lhs_atom108])).+% 0.08/0.36 fof(def_lhs_atom109, axiom, (lhs_atom109 <=> op(op(e2,e5),e5)=op(e2,op(e5,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_108, plain, (lhs_atom109+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_107, def_lhs_atom109])).+% 0.08/0.36 fof(def_lhs_atom110, axiom, (lhs_atom110 <=> op(op(e2,e5),e4)=op(e2,op(e5,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_109, plain, (lhs_atom110+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_106, def_lhs_atom110])).+% 0.08/0.36 fof(def_lhs_atom111, axiom, (lhs_atom111 <=> op(op(e2,e5),e3)=op(e2,op(e5,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_110, plain, (lhs_atom111+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_105, def_lhs_atom111])).+% 0.08/0.36 fof(def_lhs_atom112, axiom, (lhs_atom112 <=> op(op(e2,e5),e2)=op(e2,op(e5,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_111, plain, (lhs_atom112+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_104, def_lhs_atom112])).+% 0.08/0.36 fof(def_lhs_atom113, axiom, (lhs_atom113 <=> op(op(e2,e5),e1)=op(e2,op(e5,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_112, plain, (lhs_atom113+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_103, def_lhs_atom113])).+% 0.08/0.36 fof(def_lhs_atom114, axiom, (lhs_atom114 <=> op(op(e2,e5),e0)=op(e2,op(e5,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_113, plain, (lhs_atom114+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_102, def_lhs_atom114])).+% 0.08/0.36 fof(def_lhs_atom115, axiom, (lhs_atom115 <=> op(op(e2,e4),e5)=op(e2,op(e4,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_114, plain, (lhs_atom115+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_101, def_lhs_atom115])).+% 0.08/0.36 fof(def_lhs_atom116, axiom, (lhs_atom116 <=> op(op(e2,e4),e4)=op(e2,op(e4,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_115, plain, (lhs_atom116+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_100, def_lhs_atom116])).+% 0.08/0.36 fof(def_lhs_atom117, axiom, (lhs_atom117 <=> op(op(e2,e4),e3)=op(e2,op(e4,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_116, plain, (lhs_atom117+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_99, def_lhs_atom117])).+% 0.08/0.36 fof(def_lhs_atom118, axiom, (lhs_atom118 <=> op(op(e2,e4),e2)=op(e2,op(e4,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_117, plain, (lhs_atom118+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_98, def_lhs_atom118])).+% 0.08/0.36 fof(def_lhs_atom119, axiom, (lhs_atom119 <=> op(op(e2,e4),e1)=op(e2,op(e4,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_118, plain, (lhs_atom119+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_97, def_lhs_atom119])).+% 0.08/0.36 fof(def_lhs_atom120, axiom, (lhs_atom120 <=> op(op(e2,e4),e0)=op(e2,op(e4,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_119, plain, (lhs_atom120+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_96, def_lhs_atom120])).+% 0.08/0.36 fof(def_lhs_atom121, axiom, (lhs_atom121 <=> op(op(e2,e3),e5)=op(e2,op(e3,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_120, plain, (lhs_atom121+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_95, def_lhs_atom121])).+% 0.08/0.36 fof(def_lhs_atom122, axiom, (lhs_atom122 <=> op(op(e2,e3),e4)=op(e2,op(e3,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_121, plain, (lhs_atom122+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_94, def_lhs_atom122])).+% 0.08/0.36 fof(def_lhs_atom123, axiom, (lhs_atom123 <=> op(op(e2,e3),e3)=op(e2,op(e3,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_122, plain, (lhs_atom123+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_93, def_lhs_atom123])).+% 0.08/0.36 fof(def_lhs_atom124, axiom, (lhs_atom124 <=> op(op(e2,e3),e2)=op(e2,op(e3,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_123, plain, (lhs_atom124+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_92, def_lhs_atom124])).+% 0.08/0.36 fof(def_lhs_atom125, axiom, (lhs_atom125 <=> op(op(e2,e3),e1)=op(e2,op(e3,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_124, plain, (lhs_atom125+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_91, def_lhs_atom125])).+% 0.08/0.36 fof(def_lhs_atom126, axiom, (lhs_atom126 <=> op(op(e2,e3),e0)=op(e2,op(e3,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_125, plain, (lhs_atom126+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_90, def_lhs_atom126])).+% 0.08/0.36 fof(def_lhs_atom127, axiom, (lhs_atom127 <=> op(op(e2,e2),e5)=op(e2,op(e2,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_126, plain, (lhs_atom127+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_89, def_lhs_atom127])).+% 0.08/0.36 fof(def_lhs_atom128, axiom, (lhs_atom128 <=> op(op(e2,e2),e4)=op(e2,op(e2,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_127, plain, (lhs_atom128+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_88, def_lhs_atom128])).+% 0.08/0.36 fof(def_lhs_atom129, axiom, (lhs_atom129 <=> op(op(e2,e2),e3)=op(e2,op(e2,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_128, plain, (lhs_atom129+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_87, def_lhs_atom129])).+% 0.08/0.36 fof(def_lhs_atom130, axiom, (lhs_atom130 <=> op(op(e2,e2),e2)=op(e2,op(e2,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_129, plain, (lhs_atom130+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_86, def_lhs_atom130])).+% 0.08/0.36 fof(def_lhs_atom131, axiom, (lhs_atom131 <=> op(op(e2,e2),e1)=op(e2,op(e2,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_130, plain, (lhs_atom131+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_85, def_lhs_atom131])).+% 0.08/0.36 fof(def_lhs_atom132, axiom, (lhs_atom132 <=> op(op(e2,e2),e0)=op(e2,op(e2,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_131, plain, (lhs_atom132+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_84, def_lhs_atom132])).+% 0.08/0.36 fof(def_lhs_atom133, axiom, (lhs_atom133 <=> op(op(e2,e1),e5)=op(e2,op(e1,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_132, plain, (lhs_atom133+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_83, def_lhs_atom133])).+% 0.08/0.36 fof(def_lhs_atom134, axiom, (lhs_atom134 <=> op(op(e2,e1),e4)=op(e2,op(e1,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_133, plain, (lhs_atom134+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_82, def_lhs_atom134])).+% 0.08/0.36 fof(def_lhs_atom135, axiom, (lhs_atom135 <=> op(op(e2,e1),e3)=op(e2,op(e1,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_134, plain, (lhs_atom135+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_81, def_lhs_atom135])).+% 0.08/0.36 fof(def_lhs_atom136, axiom, (lhs_atom136 <=> op(op(e2,e1),e2)=op(e2,op(e1,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_135, plain, (lhs_atom136+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_80, def_lhs_atom136])).+% 0.08/0.36 fof(def_lhs_atom137, axiom, (lhs_atom137 <=> op(op(e2,e1),e1)=op(e2,op(e1,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_136, plain, (lhs_atom137+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_79, def_lhs_atom137])).+% 0.08/0.36 fof(def_lhs_atom138, axiom, (lhs_atom138 <=> op(op(e2,e1),e0)=op(e2,op(e1,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_137, plain, (lhs_atom138+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_78, def_lhs_atom138])).+% 0.08/0.36 fof(def_lhs_atom139, axiom, (lhs_atom139 <=> op(op(e2,e0),e5)=op(e2,op(e0,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_138, plain, (lhs_atom139+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_77, def_lhs_atom139])).+% 0.08/0.36 fof(def_lhs_atom140, axiom, (lhs_atom140 <=> op(op(e2,e0),e4)=op(e2,op(e0,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_139, plain, (lhs_atom140+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_76, def_lhs_atom140])).+% 0.08/0.36 fof(def_lhs_atom141, axiom, (lhs_atom141 <=> op(op(e2,e0),e3)=op(e2,op(e0,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_140, plain, (lhs_atom141+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_75, def_lhs_atom141])).+% 0.08/0.36 fof(def_lhs_atom142, axiom, (lhs_atom142 <=> op(op(e2,e0),e2)=op(e2,op(e0,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_141, plain, (lhs_atom142+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_74, def_lhs_atom142])).+% 0.08/0.36 fof(def_lhs_atom143, axiom, (lhs_atom143 <=> op(op(e2,e0),e1)=op(e2,op(e0,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_142, plain, (lhs_atom143+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_73, def_lhs_atom143])).+% 0.08/0.36 fof(def_lhs_atom144, axiom, (lhs_atom144 <=> op(op(e2,e0),e0)=op(e2,op(e0,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_143, plain, (lhs_atom144+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_72, def_lhs_atom144])).+% 0.08/0.36 fof(def_lhs_atom145, axiom, (lhs_atom145 <=> op(op(e1,e5),e5)=op(e1,op(e5,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_144, plain, (lhs_atom145+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_71, def_lhs_atom145])).+% 0.08/0.36 fof(def_lhs_atom146, axiom, (lhs_atom146 <=> op(op(e1,e5),e4)=op(e1,op(e5,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_145, plain, (lhs_atom146+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_70, def_lhs_atom146])).+% 0.08/0.36 fof(def_lhs_atom147, axiom, (lhs_atom147 <=> op(op(e1,e5),e3)=op(e1,op(e5,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_146, plain, (lhs_atom147+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_69, def_lhs_atom147])).+% 0.08/0.36 fof(def_lhs_atom148, axiom, (lhs_atom148 <=> op(op(e1,e5),e2)=op(e1,op(e5,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_147, plain, (lhs_atom148+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_68, def_lhs_atom148])).+% 0.08/0.36 fof(def_lhs_atom149, axiom, (lhs_atom149 <=> op(op(e1,e5),e1)=op(e1,op(e5,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_148, plain, (lhs_atom149+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_67, def_lhs_atom149])).+% 0.08/0.36 fof(def_lhs_atom150, axiom, (lhs_atom150 <=> op(op(e1,e5),e0)=op(e1,op(e5,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_149, plain, (lhs_atom150+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_66, def_lhs_atom150])).+% 0.08/0.36 fof(def_lhs_atom151, axiom, (lhs_atom151 <=> op(op(e1,e4),e5)=op(e1,op(e4,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_150, plain, (lhs_atom151+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_65, def_lhs_atom151])).+% 0.08/0.36 fof(def_lhs_atom152, axiom, (lhs_atom152 <=> op(op(e1,e4),e4)=op(e1,op(e4,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_151, plain, (lhs_atom152+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_64, def_lhs_atom152])).+% 0.08/0.36 fof(def_lhs_atom153, axiom, (lhs_atom153 <=> op(op(e1,e4),e3)=op(e1,op(e4,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_152, plain, (lhs_atom153+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_63, def_lhs_atom153])).+% 0.08/0.36 fof(def_lhs_atom154, axiom, (lhs_atom154 <=> op(op(e1,e4),e2)=op(e1,op(e4,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_153, plain, (lhs_atom154+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_62, def_lhs_atom154])).+% 0.08/0.36 fof(def_lhs_atom155, axiom, (lhs_atom155 <=> op(op(e1,e4),e1)=op(e1,op(e4,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_154, plain, (lhs_atom155+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_61, def_lhs_atom155])).+% 0.08/0.36 fof(def_lhs_atom156, axiom, (lhs_atom156 <=> op(op(e1,e4),e0)=op(e1,op(e4,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_155, plain, (lhs_atom156+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_60, def_lhs_atom156])).+% 0.08/0.36 fof(def_lhs_atom157, axiom, (lhs_atom157 <=> op(op(e1,e3),e5)=op(e1,op(e3,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_156, plain, (lhs_atom157+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_59, def_lhs_atom157])).+% 0.08/0.36 fof(def_lhs_atom158, axiom, (lhs_atom158 <=> op(op(e1,e3),e4)=op(e1,op(e3,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_157, plain, (lhs_atom158+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_58, def_lhs_atom158])).+% 0.08/0.36 fof(def_lhs_atom159, axiom, (lhs_atom159 <=> op(op(e1,e3),e3)=op(e1,op(e3,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_158, plain, (lhs_atom159+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_57, def_lhs_atom159])).+% 0.08/0.36 fof(def_lhs_atom160, axiom, (lhs_atom160 <=> op(op(e1,e3),e2)=op(e1,op(e3,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_159, plain, (lhs_atom160+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_56, def_lhs_atom160])).+% 0.08/0.36 fof(def_lhs_atom161, axiom, (lhs_atom161 <=> op(op(e1,e3),e1)=op(e1,op(e3,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_160, plain, (lhs_atom161+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_55, def_lhs_atom161])).+% 0.08/0.36 fof(def_lhs_atom162, axiom, (lhs_atom162 <=> op(op(e1,e3),e0)=op(e1,op(e3,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_161, plain, (lhs_atom162+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_54, def_lhs_atom162])).+% 0.08/0.36 fof(def_lhs_atom163, axiom, (lhs_atom163 <=> op(op(e1,e2),e5)=op(e1,op(e2,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_162, plain, (lhs_atom163+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_53, def_lhs_atom163])).+% 0.08/0.36 fof(def_lhs_atom164, axiom, (lhs_atom164 <=> op(op(e1,e2),e4)=op(e1,op(e2,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_163, plain, (lhs_atom164+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_52, def_lhs_atom164])).+% 0.08/0.36 fof(def_lhs_atom165, axiom, (lhs_atom165 <=> op(op(e1,e2),e3)=op(e1,op(e2,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_164, plain, (lhs_atom165+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_51, def_lhs_atom165])).+% 0.08/0.36 fof(def_lhs_atom166, axiom, (lhs_atom166 <=> op(op(e1,e2),e2)=op(e1,op(e2,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_165, plain, (lhs_atom166+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_50, def_lhs_atom166])).+% 0.08/0.36 fof(def_lhs_atom167, axiom, (lhs_atom167 <=> op(op(e1,e2),e1)=op(e1,op(e2,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_166, plain, (lhs_atom167+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_49, def_lhs_atom167])).+% 0.08/0.36 fof(def_lhs_atom168, axiom, (lhs_atom168 <=> op(op(e1,e2),e0)=op(e1,op(e2,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_167, plain, (lhs_atom168+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_48, def_lhs_atom168])).+% 0.08/0.36 fof(def_lhs_atom169, axiom, (lhs_atom169 <=> op(op(e1,e1),e5)=op(e1,op(e1,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_168, plain, (lhs_atom169+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_47, def_lhs_atom169])).+% 0.08/0.36 fof(def_lhs_atom170, axiom, (lhs_atom170 <=> op(op(e1,e1),e4)=op(e1,op(e1,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_169, plain, (lhs_atom170+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_46, def_lhs_atom170])).+% 0.08/0.36 fof(def_lhs_atom171, axiom, (lhs_atom171 <=> op(op(e1,e1),e3)=op(e1,op(e1,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_170, plain, (lhs_atom171+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_45, def_lhs_atom171])).+% 0.08/0.36 fof(def_lhs_atom172, axiom, (lhs_atom172 <=> op(op(e1,e1),e2)=op(e1,op(e1,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_171, plain, (lhs_atom172+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_44, def_lhs_atom172])).+% 0.08/0.36 fof(def_lhs_atom173, axiom, (lhs_atom173 <=> op(op(e1,e1),e1)=op(e1,op(e1,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_172, plain, (lhs_atom173+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_43, def_lhs_atom173])).+% 0.08/0.36 fof(def_lhs_atom174, axiom, (lhs_atom174 <=> op(op(e1,e1),e0)=op(e1,op(e1,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_173, plain, (lhs_atom174+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_42, def_lhs_atom174])).+% 0.08/0.36 fof(def_lhs_atom175, axiom, (lhs_atom175 <=> op(op(e1,e0),e5)=op(e1,op(e0,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_174, plain, (lhs_atom175+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_41, def_lhs_atom175])).+% 0.08/0.36 fof(def_lhs_atom176, axiom, (lhs_atom176 <=> op(op(e1,e0),e4)=op(e1,op(e0,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_175, plain, (lhs_atom176+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_40, def_lhs_atom176])).+% 0.08/0.36 fof(def_lhs_atom177, axiom, (lhs_atom177 <=> op(op(e1,e0),e3)=op(e1,op(e0,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_176, plain, (lhs_atom177+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_39, def_lhs_atom177])).+% 0.08/0.36 fof(def_lhs_atom178, axiom, (lhs_atom178 <=> op(op(e1,e0),e2)=op(e1,op(e0,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_177, plain, (lhs_atom178+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_38, def_lhs_atom178])).+% 0.08/0.36 fof(def_lhs_atom179, axiom, (lhs_atom179 <=> op(op(e1,e0),e1)=op(e1,op(e0,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_178, plain, (lhs_atom179+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_37, def_lhs_atom179])).+% 0.08/0.36 fof(def_lhs_atom180, axiom, (lhs_atom180 <=> op(op(e1,e0),e0)=op(e1,op(e0,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_179, plain, (lhs_atom180+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_36, def_lhs_atom180])).+% 0.08/0.36 fof(def_lhs_atom181, axiom, (lhs_atom181 <=> op(op(e0,e5),e5)=op(e0,op(e5,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_180, plain, (lhs_atom181+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_35, def_lhs_atom181])).+% 0.08/0.36 fof(def_lhs_atom182, axiom, (lhs_atom182 <=> op(op(e0,e5),e4)=op(e0,op(e5,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_181, plain, (lhs_atom182+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_34, def_lhs_atom182])).+% 0.08/0.36 fof(def_lhs_atom183, axiom, (lhs_atom183 <=> op(op(e0,e5),e3)=op(e0,op(e5,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_182, plain, (lhs_atom183+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_33, def_lhs_atom183])).+% 0.08/0.36 fof(def_lhs_atom184, axiom, (lhs_atom184 <=> op(op(e0,e5),e2)=op(e0,op(e5,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_183, plain, (lhs_atom184+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_32, def_lhs_atom184])).+% 0.08/0.36 fof(def_lhs_atom185, axiom, (lhs_atom185 <=> op(op(e0,e5),e1)=op(e0,op(e5,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_184, plain, (lhs_atom185+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_31, def_lhs_atom185])).+% 0.08/0.36 fof(def_lhs_atom186, axiom, (lhs_atom186 <=> op(op(e0,e5),e0)=op(e0,op(e5,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_185, plain, (lhs_atom186+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_30, def_lhs_atom186])).+% 0.08/0.36 fof(def_lhs_atom187, axiom, (lhs_atom187 <=> op(op(e0,e4),e5)=op(e0,op(e4,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_186, plain, (lhs_atom187+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_29, def_lhs_atom187])).+% 0.08/0.36 fof(def_lhs_atom188, axiom, (lhs_atom188 <=> op(op(e0,e4),e4)=op(e0,op(e4,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_187, plain, (lhs_atom188+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_28, def_lhs_atom188])).+% 0.08/0.36 fof(def_lhs_atom189, axiom, (lhs_atom189 <=> op(op(e0,e4),e3)=op(e0,op(e4,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_188, plain, (lhs_atom189+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_27, def_lhs_atom189])).+% 0.08/0.36 fof(def_lhs_atom190, axiom, (lhs_atom190 <=> op(op(e0,e4),e2)=op(e0,op(e4,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_189, plain, (lhs_atom190+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_26, def_lhs_atom190])).+% 0.08/0.36 fof(def_lhs_atom191, axiom, (lhs_atom191 <=> op(op(e0,e4),e1)=op(e0,op(e4,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_190, plain, (lhs_atom191+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_25, def_lhs_atom191])).+% 0.08/0.36 fof(def_lhs_atom192, axiom, (lhs_atom192 <=> op(op(e0,e4),e0)=op(e0,op(e4,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_191, plain, (lhs_atom192+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_24, def_lhs_atom192])).+% 0.08/0.36 fof(def_lhs_atom193, axiom, (lhs_atom193 <=> op(op(e0,e3),e5)=op(e0,op(e3,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_192, plain, (lhs_atom193+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_23, def_lhs_atom193])).+% 0.08/0.36 fof(def_lhs_atom194, axiom, (lhs_atom194 <=> op(op(e0,e3),e4)=op(e0,op(e3,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_193, plain, (lhs_atom194+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_22, def_lhs_atom194])).+% 0.08/0.36 fof(def_lhs_atom195, axiom, (lhs_atom195 <=> op(op(e0,e3),e3)=op(e0,op(e3,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_194, plain, (lhs_atom195+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_21, def_lhs_atom195])).+% 0.08/0.36 fof(def_lhs_atom196, axiom, (lhs_atom196 <=> op(op(e0,e3),e2)=op(e0,op(e3,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_195, plain, (lhs_atom196+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_20, def_lhs_atom196])).+% 0.08/0.36 fof(def_lhs_atom197, axiom, (lhs_atom197 <=> op(op(e0,e3),e1)=op(e0,op(e3,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_196, plain, (lhs_atom197+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_19, def_lhs_atom197])).+% 0.08/0.36 fof(def_lhs_atom198, axiom, (lhs_atom198 <=> op(op(e0,e3),e0)=op(e0,op(e3,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_197, plain, (lhs_atom198+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_18, def_lhs_atom198])).+% 0.08/0.36 fof(def_lhs_atom199, axiom, (lhs_atom199 <=> op(op(e0,e2),e5)=op(e0,op(e2,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_198, plain, (lhs_atom199+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_17, def_lhs_atom199])).+% 0.08/0.36 fof(def_lhs_atom200, axiom, (lhs_atom200 <=> op(op(e0,e2),e4)=op(e0,op(e2,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_199, plain, (lhs_atom200+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_16, def_lhs_atom200])).+% 0.08/0.36 fof(def_lhs_atom201, axiom, (lhs_atom201 <=> op(op(e0,e2),e3)=op(e0,op(e2,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_200, plain, (lhs_atom201+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_15, def_lhs_atom201])).+% 0.08/0.36 fof(def_lhs_atom202, axiom, (lhs_atom202 <=> op(op(e0,e2),e2)=op(e0,op(e2,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_201, plain, (lhs_atom202+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_14, def_lhs_atom202])).+% 0.08/0.36 fof(def_lhs_atom203, axiom, (lhs_atom203 <=> op(op(e0,e2),e1)=op(e0,op(e2,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_202, plain, (lhs_atom203+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_13, def_lhs_atom203])).+% 0.08/0.36 fof(def_lhs_atom204, axiom, (lhs_atom204 <=> op(op(e0,e2),e0)=op(e0,op(e2,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_203, plain, (lhs_atom204+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_12, def_lhs_atom204])).+% 0.08/0.36 fof(def_lhs_atom205, axiom, (lhs_atom205 <=> op(op(e0,e1),e5)=op(e0,op(e1,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_204, plain, (lhs_atom205+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_11, def_lhs_atom205])).+% 0.08/0.36 fof(def_lhs_atom206, axiom, (lhs_atom206 <=> op(op(e0,e1),e4)=op(e0,op(e1,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_205, plain, (lhs_atom206+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_10, def_lhs_atom206])).+% 0.08/0.36 fof(def_lhs_atom207, axiom, (lhs_atom207 <=> op(op(e0,e1),e3)=op(e0,op(e1,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_206, plain, (lhs_atom207+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_9, def_lhs_atom207])).+% 0.08/0.36 fof(def_lhs_atom208, axiom, (lhs_atom208 <=> op(op(e0,e1),e2)=op(e0,op(e1,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_207, plain, (lhs_atom208+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_8, def_lhs_atom208])).+% 0.08/0.36 fof(def_lhs_atom209, axiom, (lhs_atom209 <=> op(op(e0,e1),e1)=op(e0,op(e1,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_208, plain, (lhs_atom209+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_7, def_lhs_atom209])).+% 0.08/0.36 fof(def_lhs_atom210, axiom, (lhs_atom210 <=> op(op(e0,e1),e0)=op(e0,op(e1,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_209, plain, (lhs_atom210+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_6, def_lhs_atom210])).+% 0.08/0.36 fof(def_lhs_atom211, axiom, (lhs_atom211 <=> op(op(e0,e0),e5)=op(e0,op(e0,e5))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_210, plain, (lhs_atom211+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_5, def_lhs_atom211])).+% 0.08/0.36 fof(def_lhs_atom212, axiom, (lhs_atom212 <=> op(op(e0,e0),e4)=op(e0,op(e0,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_211, plain, (lhs_atom212+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_4, def_lhs_atom212])).+% 0.08/0.36 fof(def_lhs_atom213, axiom, (lhs_atom213 <=> op(op(e0,e0),e3)=op(e0,op(e0,e3))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_212, plain, (lhs_atom213+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_3, def_lhs_atom213])).+% 0.08/0.36 fof(def_lhs_atom214, axiom, (lhs_atom214 <=> op(op(e0,e0),e2)=op(e0,op(e0,e2))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_213, plain, (lhs_atom214+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_2, def_lhs_atom214])).+% 0.08/0.36 fof(def_lhs_atom215, axiom, (lhs_atom215 <=> op(op(e0,e0),e1)=op(e0,op(e0,e1))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_214, plain, (lhs_atom215+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_1, def_lhs_atom215])).+% 0.08/0.36 fof(def_lhs_atom216, axiom, (lhs_atom216 <=> op(op(e0,e0),e0)=op(e0,op(e0,e0))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_215, plain, (lhs_atom216+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax2_0, def_lhs_atom216])).+% 0.08/0.36 fof(def_lhs_atom217, axiom, (lhs_atom217 <=> inv(unit)=unit), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_216, plain, (lhs_atom217+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax5_0, def_lhs_atom217])).+% 0.08/0.36 fof(def_lhs_atom218, axiom, (lhs_atom218 <=> inv(inv(e5))=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_217, plain, (lhs_atom218+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax6_5, def_lhs_atom218])).+% 0.08/0.36 fof(def_lhs_atom219, axiom, (lhs_atom219 <=> inv(inv(e4))=e4), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_218, plain, (lhs_atom219+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax6_4, def_lhs_atom219])).+% 0.08/0.36 fof(def_lhs_atom220, axiom, (lhs_atom220 <=> inv(inv(e3))=e3), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_219, plain, (lhs_atom220+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax6_3, def_lhs_atom220])).+% 0.08/0.36 fof(def_lhs_atom221, axiom, (lhs_atom221 <=> inv(inv(e2))=e2), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_220, plain, (lhs_atom221+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax6_2, def_lhs_atom221])).+% 0.08/0.36 fof(def_lhs_atom222, axiom, (lhs_atom222 <=> inv(inv(e1))=e1), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_221, plain, (lhs_atom222+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax6_1, def_lhs_atom222])).+% 0.08/0.36 fof(def_lhs_atom223, axiom, (lhs_atom223 <=> inv(inv(e0))=e0), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_222, plain, (lhs_atom223+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax6_0, def_lhs_atom223])).+% 0.08/0.36 fof(def_lhs_atom224, axiom, (lhs_atom224 <=> ~inv(e5)=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_223, plain, (lhs_atom224+% 0.08/0.36 |inv(e5)=e5), inference(fold_definition,[status(thm)],[ax7_35, def_lhs_atom224])).+% 0.08/0.36 fof(def_lhs_atom225, axiom, (lhs_atom225 <=> ~inv(e5)=e4), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_224, plain, (lhs_atom225+% 0.08/0.36 |inv(e4)=e5), inference(fold_definition,[status(thm)],[ax7_34, def_lhs_atom225])).+% 0.08/0.36 fof(def_lhs_atom226, axiom, (lhs_atom226 <=> ~inv(e5)=e3), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_225, plain, (lhs_atom226+% 0.08/0.36 |inv(e3)=e5), inference(fold_definition,[status(thm)],[ax7_33, def_lhs_atom226])).+% 0.08/0.36 fof(def_lhs_atom227, axiom, (lhs_atom227 <=> ~inv(e5)=e2), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_226, plain, (lhs_atom227+% 0.08/0.36 |inv(e2)=e5), inference(fold_definition,[status(thm)],[ax7_32, def_lhs_atom227])).+% 0.08/0.36 fof(def_lhs_atom228, axiom, (lhs_atom228 <=> ~inv(e5)=e1), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_227, plain, (lhs_atom228+% 0.08/0.36 |inv(e1)=e5), inference(fold_definition,[status(thm)],[ax7_31, def_lhs_atom228])).+% 0.08/0.36 fof(def_lhs_atom229, axiom, (lhs_atom229 <=> ~inv(e5)=e0), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_228, plain, (lhs_atom229+% 0.08/0.36 |inv(e0)=e5), inference(fold_definition,[status(thm)],[ax7_30, def_lhs_atom229])).+% 0.08/0.36 fof(def_lhs_atom230, axiom, (lhs_atom230 <=> ~inv(e4)=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_229, plain, (lhs_atom230+% 0.08/0.36 |inv(e5)=e4), inference(fold_definition,[status(thm)],[ax7_29, def_lhs_atom230])).+% 0.08/0.36 fof(def_lhs_atom231, axiom, (lhs_atom231 <=> ~inv(e4)=e4), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_230, plain, (lhs_atom231+% 0.08/0.36 |inv(e4)=e4), inference(fold_definition,[status(thm)],[ax7_28, def_lhs_atom231])).+% 0.08/0.36 fof(def_lhs_atom232, axiom, (lhs_atom232 <=> ~inv(e4)=e3), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_231, plain, (lhs_atom232+% 0.08/0.36 |inv(e3)=e4), inference(fold_definition,[status(thm)],[ax7_27, def_lhs_atom232])).+% 0.08/0.36 fof(def_lhs_atom233, axiom, (lhs_atom233 <=> ~inv(e4)=e2), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_232, plain, (lhs_atom233+% 0.08/0.36 |inv(e2)=e4), inference(fold_definition,[status(thm)],[ax7_26, def_lhs_atom233])).+% 0.08/0.36 fof(def_lhs_atom234, axiom, (lhs_atom234 <=> ~inv(e4)=e1), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_233, plain, (lhs_atom234+% 0.08/0.36 |inv(e1)=e4), inference(fold_definition,[status(thm)],[ax7_25, def_lhs_atom234])).+% 0.08/0.36 fof(def_lhs_atom235, axiom, (lhs_atom235 <=> ~inv(e4)=e0), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_234, plain, (lhs_atom235+% 0.08/0.36 |inv(e0)=e4), inference(fold_definition,[status(thm)],[ax7_24, def_lhs_atom235])).+% 0.08/0.36 fof(def_lhs_atom236, axiom, (lhs_atom236 <=> ~inv(e3)=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_235, plain, (lhs_atom236+% 0.08/0.36 |inv(e5)=e3), inference(fold_definition,[status(thm)],[ax7_23, def_lhs_atom236])).+% 0.08/0.36 fof(def_lhs_atom237, axiom, (lhs_atom237 <=> ~inv(e3)=e4), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_236, plain, (lhs_atom237+% 0.08/0.36 |inv(e4)=e3), inference(fold_definition,[status(thm)],[ax7_22, def_lhs_atom237])).+% 0.08/0.36 fof(def_lhs_atom238, axiom, (lhs_atom238 <=> ~inv(e3)=e3), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_237, plain, (lhs_atom238+% 0.08/0.36 |inv(e3)=e3), inference(fold_definition,[status(thm)],[ax7_21, def_lhs_atom238])).+% 0.08/0.36 fof(def_lhs_atom239, axiom, (lhs_atom239 <=> ~inv(e3)=e2), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_238, plain, (lhs_atom239+% 0.08/0.36 |inv(e2)=e3), inference(fold_definition,[status(thm)],[ax7_20, def_lhs_atom239])).+% 0.08/0.36 fof(def_lhs_atom240, axiom, (lhs_atom240 <=> ~inv(e3)=e1), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_239, plain, (lhs_atom240+% 0.08/0.36 |inv(e1)=e3), inference(fold_definition,[status(thm)],[ax7_19, def_lhs_atom240])).+% 0.08/0.36 fof(def_lhs_atom241, axiom, (lhs_atom241 <=> ~inv(e3)=e0), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_240, plain, (lhs_atom241+% 0.08/0.36 |inv(e0)=e3), inference(fold_definition,[status(thm)],[ax7_18, def_lhs_atom241])).+% 0.08/0.36 fof(def_lhs_atom242, axiom, (lhs_atom242 <=> ~inv(e2)=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_241, plain, (lhs_atom242+% 0.08/0.36 |inv(e5)=e2), inference(fold_definition,[status(thm)],[ax7_17, def_lhs_atom242])).+% 0.08/0.36 fof(def_lhs_atom243, axiom, (lhs_atom243 <=> ~inv(e2)=e4), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_242, plain, (lhs_atom243+% 0.08/0.36 |inv(e4)=e2), inference(fold_definition,[status(thm)],[ax7_16, def_lhs_atom243])).+% 0.08/0.36 fof(def_lhs_atom244, axiom, (lhs_atom244 <=> ~inv(e2)=e3), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_243, plain, (lhs_atom244+% 0.08/0.36 |inv(e3)=e2), inference(fold_definition,[status(thm)],[ax7_15, def_lhs_atom244])).+% 0.08/0.36 fof(def_lhs_atom245, axiom, (lhs_atom245 <=> ~inv(e2)=e2), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_244, plain, (lhs_atom245+% 0.08/0.36 |inv(e2)=e2), inference(fold_definition,[status(thm)],[ax7_14, def_lhs_atom245])).+% 0.08/0.36 fof(def_lhs_atom246, axiom, (lhs_atom246 <=> ~inv(e2)=e1), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_245, plain, (lhs_atom246+% 0.08/0.36 |inv(e1)=e2), inference(fold_definition,[status(thm)],[ax7_13, def_lhs_atom246])).+% 0.08/0.36 fof(def_lhs_atom247, axiom, (lhs_atom247 <=> ~inv(e2)=e0), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_246, plain, (lhs_atom247+% 0.08/0.36 |inv(e0)=e2), inference(fold_definition,[status(thm)],[ax7_12, def_lhs_atom247])).+% 0.08/0.36 fof(def_lhs_atom248, axiom, (lhs_atom248 <=> ~inv(e1)=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_247, plain, (lhs_atom248+% 0.08/0.36 |inv(e5)=e1), inference(fold_definition,[status(thm)],[ax7_11, def_lhs_atom248])).+% 0.08/0.36 fof(def_lhs_atom249, axiom, (lhs_atom249 <=> ~inv(e1)=e4), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_248, plain, (lhs_atom249+% 0.08/0.36 |inv(e4)=e1), inference(fold_definition,[status(thm)],[ax7_10, def_lhs_atom249])).+% 0.08/0.36 fof(def_lhs_atom250, axiom, (lhs_atom250 <=> ~inv(e1)=e3), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_249, plain, (lhs_atom250+% 0.08/0.36 |inv(e3)=e1), inference(fold_definition,[status(thm)],[ax7_9, def_lhs_atom250])).+% 0.08/0.36 fof(def_lhs_atom251, axiom, (lhs_atom251 <=> ~inv(e1)=e2), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_250, plain, (lhs_atom251+% 0.08/0.36 |inv(e2)=e1), inference(fold_definition,[status(thm)],[ax7_8, def_lhs_atom251])).+% 0.08/0.36 fof(def_lhs_atom252, axiom, (lhs_atom252 <=> ~inv(e1)=e1), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_251, plain, (lhs_atom252+% 0.08/0.36 |inv(e1)=e1), inference(fold_definition,[status(thm)],[ax7_7, def_lhs_atom252])).+% 0.08/0.36 fof(def_lhs_atom253, axiom, (lhs_atom253 <=> ~inv(e1)=e0), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_252, plain, (lhs_atom253+% 0.08/0.36 |inv(e0)=e1), inference(fold_definition,[status(thm)],[ax7_6, def_lhs_atom253])).+% 0.08/0.36 fof(def_lhs_atom254, axiom, (lhs_atom254 <=> ~inv(e0)=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_253, plain, (lhs_atom254+% 0.08/0.36 |inv(e5)=e0), inference(fold_definition,[status(thm)],[ax7_5, def_lhs_atom254])).+% 0.08/0.36 fof(def_lhs_atom255, axiom, (lhs_atom255 <=> ~inv(e0)=e4), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_254, plain, (lhs_atom255+% 0.08/0.36 |inv(e4)=e0), inference(fold_definition,[status(thm)],[ax7_4, def_lhs_atom255])).+% 0.08/0.36 fof(def_lhs_atom256, axiom, (lhs_atom256 <=> ~inv(e0)=e3), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_255, plain, (lhs_atom256+% 0.08/0.36 |inv(e3)=e0), inference(fold_definition,[status(thm)],[ax7_3, def_lhs_atom256])).+% 0.08/0.36 fof(def_lhs_atom257, axiom, (lhs_atom257 <=> ~inv(e0)=e2), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_256, plain, (lhs_atom257+% 0.08/0.36 |inv(e2)=e0), inference(fold_definition,[status(thm)],[ax7_2, def_lhs_atom257])).+% 0.08/0.36 fof(def_lhs_atom258, axiom, (lhs_atom258 <=> ~inv(e0)=e1), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_257, plain, (lhs_atom258+% 0.08/0.36 |inv(e1)=e0), inference(fold_definition,[status(thm)],[ax7_1, def_lhs_atom258])).+% 0.08/0.36 fof(def_lhs_atom259, axiom, (lhs_atom259 <=> ~inv(e0)=e0), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_258, plain, (lhs_atom259+% 0.08/0.36 |inv(e0)=e0), inference(fold_definition,[status(thm)],[ax7_0, def_lhs_atom259])).+% 0.08/0.36 fof(def_lhs_atom260, axiom, (lhs_atom260 <=> inv(e4)!=inv(e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_259, plain, (lhs_atom260+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_14, def_lhs_atom260])).+% 0.08/0.36 fof(def_lhs_atom261, axiom, (lhs_atom261 <=> inv(e3)!=inv(e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_260, plain, (lhs_atom261+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_13, def_lhs_atom261])).+% 0.08/0.36 fof(def_lhs_atom262, axiom, (lhs_atom262 <=> inv(e3)!=inv(e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_261, plain, (lhs_atom262+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_12, def_lhs_atom262])).+% 0.08/0.36 fof(def_lhs_atom263, axiom, (lhs_atom263 <=> inv(e2)!=inv(e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_262, plain, (lhs_atom263+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_11, def_lhs_atom263])).+% 0.08/0.36 fof(def_lhs_atom264, axiom, (lhs_atom264 <=> inv(e2)!=inv(e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_263, plain, (lhs_atom264+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_10, def_lhs_atom264])).+% 0.08/0.36 fof(def_lhs_atom265, axiom, (lhs_atom265 <=> inv(e2)!=inv(e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_264, plain, (lhs_atom265+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_9, def_lhs_atom265])).+% 0.08/0.36 fof(def_lhs_atom266, axiom, (lhs_atom266 <=> inv(e1)!=inv(e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_265, plain, (lhs_atom266+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_8, def_lhs_atom266])).+% 0.08/0.36 fof(def_lhs_atom267, axiom, (lhs_atom267 <=> inv(e1)!=inv(e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_266, plain, (lhs_atom267+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_7, def_lhs_atom267])).+% 0.08/0.36 fof(def_lhs_atom268, axiom, (lhs_atom268 <=> inv(e1)!=inv(e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_267, plain, (lhs_atom268+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_6, def_lhs_atom268])).+% 0.08/0.36 fof(def_lhs_atom269, axiom, (lhs_atom269 <=> inv(e1)!=inv(e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_268, plain, (lhs_atom269+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_5, def_lhs_atom269])).+% 0.08/0.36 fof(def_lhs_atom270, axiom, (lhs_atom270 <=> inv(e0)!=inv(e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_269, plain, (lhs_atom270+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_4, def_lhs_atom270])).+% 0.08/0.36 fof(def_lhs_atom271, axiom, (lhs_atom271 <=> inv(e0)!=inv(e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_270, plain, (lhs_atom271+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_3, def_lhs_atom271])).+% 0.08/0.36 fof(def_lhs_atom272, axiom, (lhs_atom272 <=> inv(e0)!=inv(e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_271, plain, (lhs_atom272+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_2, def_lhs_atom272])).+% 0.08/0.36 fof(def_lhs_atom273, axiom, (lhs_atom273 <=> inv(e0)!=inv(e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_272, plain, (lhs_atom273+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_1, def_lhs_atom273])).+% 0.08/0.36 fof(def_lhs_atom274, axiom, (lhs_atom274 <=> inv(e0)!=inv(e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_273, plain, (lhs_atom274+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax8_0, def_lhs_atom274])).+% 0.08/0.36 fof(def_lhs_atom275, axiom, (lhs_atom275 <=> op(e5,e4)!=op(e5,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_274, plain, (lhs_atom275+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_179, def_lhs_atom275])).+% 0.08/0.36 fof(def_lhs_atom276, axiom, (lhs_atom276 <=> op(e5,e3)!=op(e5,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_275, plain, (lhs_atom276+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_178, def_lhs_atom276])).+% 0.08/0.36 fof(def_lhs_atom277, axiom, (lhs_atom277 <=> op(e5,e3)!=op(e5,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_276, plain, (lhs_atom277+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_177, def_lhs_atom277])).+% 0.08/0.36 fof(def_lhs_atom278, axiom, (lhs_atom278 <=> op(e5,e2)!=op(e5,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_277, plain, (lhs_atom278+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_176, def_lhs_atom278])).+% 0.08/0.36 fof(def_lhs_atom279, axiom, (lhs_atom279 <=> op(e5,e2)!=op(e5,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_278, plain, (lhs_atom279+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_175, def_lhs_atom279])).+% 0.08/0.36 fof(def_lhs_atom280, axiom, (lhs_atom280 <=> op(e5,e2)!=op(e5,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_279, plain, (lhs_atom280+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_174, def_lhs_atom280])).+% 0.08/0.36 fof(def_lhs_atom281, axiom, (lhs_atom281 <=> op(e5,e1)!=op(e5,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_280, plain, (lhs_atom281+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_173, def_lhs_atom281])).+% 0.08/0.36 fof(def_lhs_atom282, axiom, (lhs_atom282 <=> op(e5,e1)!=op(e5,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_281, plain, (lhs_atom282+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_172, def_lhs_atom282])).+% 0.08/0.36 fof(def_lhs_atom283, axiom, (lhs_atom283 <=> op(e5,e1)!=op(e5,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_282, plain, (lhs_atom283+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_171, def_lhs_atom283])).+% 0.08/0.36 fof(def_lhs_atom284, axiom, (lhs_atom284 <=> op(e5,e1)!=op(e5,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_283, plain, (lhs_atom284+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_170, def_lhs_atom284])).+% 0.08/0.36 fof(def_lhs_atom285, axiom, (lhs_atom285 <=> op(e5,e0)!=op(e5,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_284, plain, (lhs_atom285+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_169, def_lhs_atom285])).+% 0.08/0.36 fof(def_lhs_atom286, axiom, (lhs_atom286 <=> op(e5,e0)!=op(e5,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_285, plain, (lhs_atom286+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_168, def_lhs_atom286])).+% 0.08/0.36 fof(def_lhs_atom287, axiom, (lhs_atom287 <=> op(e5,e0)!=op(e5,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_286, plain, (lhs_atom287+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_167, def_lhs_atom287])).+% 0.08/0.36 fof(def_lhs_atom288, axiom, (lhs_atom288 <=> op(e5,e0)!=op(e5,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_287, plain, (lhs_atom288+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_166, def_lhs_atom288])).+% 0.08/0.36 fof(def_lhs_atom289, axiom, (lhs_atom289 <=> op(e5,e0)!=op(e5,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_288, plain, (lhs_atom289+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_165, def_lhs_atom289])).+% 0.08/0.36 fof(def_lhs_atom290, axiom, (lhs_atom290 <=> op(e4,e4)!=op(e4,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_289, plain, (lhs_atom290+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_164, def_lhs_atom290])).+% 0.08/0.36 fof(def_lhs_atom291, axiom, (lhs_atom291 <=> op(e4,e3)!=op(e4,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_290, plain, (lhs_atom291+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_163, def_lhs_atom291])).+% 0.08/0.36 fof(def_lhs_atom292, axiom, (lhs_atom292 <=> op(e4,e3)!=op(e4,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_291, plain, (lhs_atom292+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_162, def_lhs_atom292])).+% 0.08/0.36 fof(def_lhs_atom293, axiom, (lhs_atom293 <=> op(e4,e2)!=op(e4,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_292, plain, (lhs_atom293+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_161, def_lhs_atom293])).+% 0.08/0.36 fof(def_lhs_atom294, axiom, (lhs_atom294 <=> op(e4,e2)!=op(e4,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_293, plain, (lhs_atom294+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_160, def_lhs_atom294])).+% 0.08/0.36 fof(def_lhs_atom295, axiom, (lhs_atom295 <=> op(e4,e2)!=op(e4,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_294, plain, (lhs_atom295+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_159, def_lhs_atom295])).+% 0.08/0.36 fof(def_lhs_atom296, axiom, (lhs_atom296 <=> op(e4,e1)!=op(e4,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_295, plain, (lhs_atom296+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_158, def_lhs_atom296])).+% 0.08/0.36 fof(def_lhs_atom297, axiom, (lhs_atom297 <=> op(e4,e1)!=op(e4,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_296, plain, (lhs_atom297+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_157, def_lhs_atom297])).+% 0.08/0.36 fof(def_lhs_atom298, axiom, (lhs_atom298 <=> op(e4,e1)!=op(e4,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_297, plain, (lhs_atom298+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_156, def_lhs_atom298])).+% 0.08/0.36 fof(def_lhs_atom299, axiom, (lhs_atom299 <=> op(e4,e1)!=op(e4,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_298, plain, (lhs_atom299+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_155, def_lhs_atom299])).+% 0.08/0.36 fof(def_lhs_atom300, axiom, (lhs_atom300 <=> op(e4,e0)!=op(e4,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_299, plain, (lhs_atom300+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_154, def_lhs_atom300])).+% 0.08/0.36 fof(def_lhs_atom301, axiom, (lhs_atom301 <=> op(e4,e0)!=op(e4,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_300, plain, (lhs_atom301+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_153, def_lhs_atom301])).+% 0.08/0.36 fof(def_lhs_atom302, axiom, (lhs_atom302 <=> op(e4,e0)!=op(e4,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_301, plain, (lhs_atom302+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_152, def_lhs_atom302])).+% 0.08/0.36 fof(def_lhs_atom303, axiom, (lhs_atom303 <=> op(e4,e0)!=op(e4,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_302, plain, (lhs_atom303+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_151, def_lhs_atom303])).+% 0.08/0.36 fof(def_lhs_atom304, axiom, (lhs_atom304 <=> op(e4,e0)!=op(e4,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_303, plain, (lhs_atom304+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_150, def_lhs_atom304])).+% 0.08/0.36 fof(def_lhs_atom305, axiom, (lhs_atom305 <=> op(e3,e4)!=op(e3,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_304, plain, (lhs_atom305+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_149, def_lhs_atom305])).+% 0.08/0.36 fof(def_lhs_atom306, axiom, (lhs_atom306 <=> op(e3,e3)!=op(e3,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_305, plain, (lhs_atom306+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_148, def_lhs_atom306])).+% 0.08/0.36 fof(def_lhs_atom307, axiom, (lhs_atom307 <=> op(e3,e3)!=op(e3,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_306, plain, (lhs_atom307+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_147, def_lhs_atom307])).+% 0.08/0.36 fof(def_lhs_atom308, axiom, (lhs_atom308 <=> op(e3,e2)!=op(e3,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_307, plain, (lhs_atom308+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_146, def_lhs_atom308])).+% 0.08/0.36 fof(def_lhs_atom309, axiom, (lhs_atom309 <=> op(e3,e2)!=op(e3,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_308, plain, (lhs_atom309+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_145, def_lhs_atom309])).+% 0.08/0.36 fof(def_lhs_atom310, axiom, (lhs_atom310 <=> op(e3,e2)!=op(e3,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_309, plain, (lhs_atom310+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_144, def_lhs_atom310])).+% 0.08/0.36 fof(def_lhs_atom311, axiom, (lhs_atom311 <=> op(e3,e1)!=op(e3,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_310, plain, (lhs_atom311+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_143, def_lhs_atom311])).+% 0.08/0.36 fof(def_lhs_atom312, axiom, (lhs_atom312 <=> op(e3,e1)!=op(e3,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_311, plain, (lhs_atom312+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_142, def_lhs_atom312])).+% 0.08/0.36 fof(def_lhs_atom313, axiom, (lhs_atom313 <=> op(e3,e1)!=op(e3,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_312, plain, (lhs_atom313+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_141, def_lhs_atom313])).+% 0.08/0.36 fof(def_lhs_atom314, axiom, (lhs_atom314 <=> op(e3,e1)!=op(e3,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_313, plain, (lhs_atom314+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_140, def_lhs_atom314])).+% 0.08/0.36 fof(def_lhs_atom315, axiom, (lhs_atom315 <=> op(e3,e0)!=op(e3,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_314, plain, (lhs_atom315+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_139, def_lhs_atom315])).+% 0.08/0.36 fof(def_lhs_atom316, axiom, (lhs_atom316 <=> op(e3,e0)!=op(e3,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_315, plain, (lhs_atom316+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_138, def_lhs_atom316])).+% 0.08/0.36 fof(def_lhs_atom317, axiom, (lhs_atom317 <=> op(e3,e0)!=op(e3,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_316, plain, (lhs_atom317+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_137, def_lhs_atom317])).+% 0.08/0.36 fof(def_lhs_atom318, axiom, (lhs_atom318 <=> op(e3,e0)!=op(e3,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_317, plain, (lhs_atom318+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_136, def_lhs_atom318])).+% 0.08/0.36 fof(def_lhs_atom319, axiom, (lhs_atom319 <=> op(e3,e0)!=op(e3,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_318, plain, (lhs_atom319+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_135, def_lhs_atom319])).+% 0.08/0.36 fof(def_lhs_atom320, axiom, (lhs_atom320 <=> op(e2,e4)!=op(e2,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_319, plain, (lhs_atom320+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_134, def_lhs_atom320])).+% 0.08/0.36 fof(def_lhs_atom321, axiom, (lhs_atom321 <=> op(e2,e3)!=op(e2,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_320, plain, (lhs_atom321+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_133, def_lhs_atom321])).+% 0.08/0.36 fof(def_lhs_atom322, axiom, (lhs_atom322 <=> op(e2,e3)!=op(e2,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_321, plain, (lhs_atom322+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_132, def_lhs_atom322])).+% 0.08/0.36 fof(def_lhs_atom323, axiom, (lhs_atom323 <=> op(e2,e2)!=op(e2,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_322, plain, (lhs_atom323+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_131, def_lhs_atom323])).+% 0.08/0.36 fof(def_lhs_atom324, axiom, (lhs_atom324 <=> op(e2,e2)!=op(e2,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_323, plain, (lhs_atom324+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_130, def_lhs_atom324])).+% 0.08/0.36 fof(def_lhs_atom325, axiom, (lhs_atom325 <=> op(e2,e2)!=op(e2,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_324, plain, (lhs_atom325+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_129, def_lhs_atom325])).+% 0.08/0.36 fof(def_lhs_atom326, axiom, (lhs_atom326 <=> op(e2,e1)!=op(e2,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_325, plain, (lhs_atom326+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_128, def_lhs_atom326])).+% 0.08/0.36 fof(def_lhs_atom327, axiom, (lhs_atom327 <=> op(e2,e1)!=op(e2,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_326, plain, (lhs_atom327+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_127, def_lhs_atom327])).+% 0.08/0.36 fof(def_lhs_atom328, axiom, (lhs_atom328 <=> op(e2,e1)!=op(e2,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_327, plain, (lhs_atom328+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_126, def_lhs_atom328])).+% 0.08/0.36 fof(def_lhs_atom329, axiom, (lhs_atom329 <=> op(e2,e1)!=op(e2,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_328, plain, (lhs_atom329+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_125, def_lhs_atom329])).+% 0.08/0.36 fof(def_lhs_atom330, axiom, (lhs_atom330 <=> op(e2,e0)!=op(e2,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_329, plain, (lhs_atom330+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_124, def_lhs_atom330])).+% 0.08/0.36 fof(def_lhs_atom331, axiom, (lhs_atom331 <=> op(e2,e0)!=op(e2,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_330, plain, (lhs_atom331+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_123, def_lhs_atom331])).+% 0.08/0.36 fof(def_lhs_atom332, axiom, (lhs_atom332 <=> op(e2,e0)!=op(e2,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_331, plain, (lhs_atom332+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_122, def_lhs_atom332])).+% 0.08/0.36 fof(def_lhs_atom333, axiom, (lhs_atom333 <=> op(e2,e0)!=op(e2,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_332, plain, (lhs_atom333+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_121, def_lhs_atom333])).+% 0.08/0.36 fof(def_lhs_atom334, axiom, (lhs_atom334 <=> op(e2,e0)!=op(e2,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_333, plain, (lhs_atom334+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_120, def_lhs_atom334])).+% 0.08/0.36 fof(def_lhs_atom335, axiom, (lhs_atom335 <=> op(e1,e4)!=op(e1,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_334, plain, (lhs_atom335+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_119, def_lhs_atom335])).+% 0.08/0.36 fof(def_lhs_atom336, axiom, (lhs_atom336 <=> op(e1,e3)!=op(e1,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_335, plain, (lhs_atom336+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_118, def_lhs_atom336])).+% 0.08/0.36 fof(def_lhs_atom337, axiom, (lhs_atom337 <=> op(e1,e3)!=op(e1,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_336, plain, (lhs_atom337+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_117, def_lhs_atom337])).+% 0.08/0.36 fof(def_lhs_atom338, axiom, (lhs_atom338 <=> op(e1,e2)!=op(e1,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_337, plain, (lhs_atom338+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_116, def_lhs_atom338])).+% 0.08/0.36 fof(def_lhs_atom339, axiom, (lhs_atom339 <=> op(e1,e2)!=op(e1,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_338, plain, (lhs_atom339+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_115, def_lhs_atom339])).+% 0.08/0.36 fof(def_lhs_atom340, axiom, (lhs_atom340 <=> op(e1,e2)!=op(e1,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_339, plain, (lhs_atom340+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_114, def_lhs_atom340])).+% 0.08/0.36 fof(def_lhs_atom341, axiom, (lhs_atom341 <=> op(e1,e1)!=op(e1,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_340, plain, (lhs_atom341+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_113, def_lhs_atom341])).+% 0.08/0.36 fof(def_lhs_atom342, axiom, (lhs_atom342 <=> op(e1,e1)!=op(e1,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_341, plain, (lhs_atom342+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_112, def_lhs_atom342])).+% 0.08/0.36 fof(def_lhs_atom343, axiom, (lhs_atom343 <=> op(e1,e1)!=op(e1,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_342, plain, (lhs_atom343+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_111, def_lhs_atom343])).+% 0.08/0.36 fof(def_lhs_atom344, axiom, (lhs_atom344 <=> op(e1,e1)!=op(e1,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_343, plain, (lhs_atom344+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_110, def_lhs_atom344])).+% 0.08/0.36 fof(def_lhs_atom345, axiom, (lhs_atom345 <=> op(e1,e0)!=op(e1,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_344, plain, (lhs_atom345+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_109, def_lhs_atom345])).+% 0.08/0.36 fof(def_lhs_atom346, axiom, (lhs_atom346 <=> op(e1,e0)!=op(e1,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_345, plain, (lhs_atom346+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_108, def_lhs_atom346])).+% 0.08/0.36 fof(def_lhs_atom347, axiom, (lhs_atom347 <=> op(e1,e0)!=op(e1,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_346, plain, (lhs_atom347+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_107, def_lhs_atom347])).+% 0.08/0.36 fof(def_lhs_atom348, axiom, (lhs_atom348 <=> op(e1,e0)!=op(e1,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_347, plain, (lhs_atom348+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_106, def_lhs_atom348])).+% 0.08/0.36 fof(def_lhs_atom349, axiom, (lhs_atom349 <=> op(e1,e0)!=op(e1,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_348, plain, (lhs_atom349+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_105, def_lhs_atom349])).+% 0.08/0.36 fof(def_lhs_atom350, axiom, (lhs_atom350 <=> op(e0,e4)!=op(e0,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_349, plain, (lhs_atom350+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_104, def_lhs_atom350])).+% 0.08/0.36 fof(def_lhs_atom351, axiom, (lhs_atom351 <=> op(e0,e3)!=op(e0,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_350, plain, (lhs_atom351+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_103, def_lhs_atom351])).+% 0.08/0.36 fof(def_lhs_atom352, axiom, (lhs_atom352 <=> op(e0,e3)!=op(e0,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_351, plain, (lhs_atom352+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_102, def_lhs_atom352])).+% 0.08/0.36 fof(def_lhs_atom353, axiom, (lhs_atom353 <=> op(e0,e2)!=op(e0,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_352, plain, (lhs_atom353+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_101, def_lhs_atom353])).+% 0.08/0.36 fof(def_lhs_atom354, axiom, (lhs_atom354 <=> op(e0,e2)!=op(e0,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_353, plain, (lhs_atom354+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_100, def_lhs_atom354])).+% 0.08/0.36 fof(def_lhs_atom355, axiom, (lhs_atom355 <=> op(e0,e2)!=op(e0,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_354, plain, (lhs_atom355+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_99, def_lhs_atom355])).+% 0.08/0.36 fof(def_lhs_atom356, axiom, (lhs_atom356 <=> op(e0,e1)!=op(e0,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_355, plain, (lhs_atom356+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_98, def_lhs_atom356])).+% 0.08/0.36 fof(def_lhs_atom357, axiom, (lhs_atom357 <=> op(e0,e1)!=op(e0,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_356, plain, (lhs_atom357+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_97, def_lhs_atom357])).+% 0.08/0.36 fof(def_lhs_atom358, axiom, (lhs_atom358 <=> op(e0,e1)!=op(e0,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_357, plain, (lhs_atom358+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_96, def_lhs_atom358])).+% 0.08/0.36 fof(def_lhs_atom359, axiom, (lhs_atom359 <=> op(e0,e1)!=op(e0,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_358, plain, (lhs_atom359+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_95, def_lhs_atom359])).+% 0.08/0.36 fof(def_lhs_atom360, axiom, (lhs_atom360 <=> op(e0,e0)!=op(e0,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_359, plain, (lhs_atom360+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_94, def_lhs_atom360])).+% 0.08/0.36 fof(def_lhs_atom361, axiom, (lhs_atom361 <=> op(e0,e0)!=op(e0,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_360, plain, (lhs_atom361+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_93, def_lhs_atom361])).+% 0.08/0.36 fof(def_lhs_atom362, axiom, (lhs_atom362 <=> op(e0,e0)!=op(e0,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_361, plain, (lhs_atom362+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_92, def_lhs_atom362])).+% 0.08/0.36 fof(def_lhs_atom363, axiom, (lhs_atom363 <=> op(e0,e0)!=op(e0,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_362, plain, (lhs_atom363+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_91, def_lhs_atom363])).+% 0.08/0.36 fof(def_lhs_atom364, axiom, (lhs_atom364 <=> op(e0,e0)!=op(e0,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_363, plain, (lhs_atom364+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_90, def_lhs_atom364])).+% 0.08/0.36 fof(def_lhs_atom365, axiom, (lhs_atom365 <=> op(e4,e5)!=op(e5,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_364, plain, (lhs_atom365+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_89, def_lhs_atom365])).+% 0.08/0.36 fof(def_lhs_atom366, axiom, (lhs_atom366 <=> op(e3,e5)!=op(e5,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_365, plain, (lhs_atom366+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_88, def_lhs_atom366])).+% 0.08/0.36 fof(def_lhs_atom367, axiom, (lhs_atom367 <=> op(e3,e5)!=op(e4,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_366, plain, (lhs_atom367+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_87, def_lhs_atom367])).+% 0.08/0.36 fof(def_lhs_atom368, axiom, (lhs_atom368 <=> op(e2,e5)!=op(e5,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_367, plain, (lhs_atom368+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_86, def_lhs_atom368])).+% 0.08/0.36 fof(def_lhs_atom369, axiom, (lhs_atom369 <=> op(e2,e5)!=op(e4,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_368, plain, (lhs_atom369+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_85, def_lhs_atom369])).+% 0.08/0.36 fof(def_lhs_atom370, axiom, (lhs_atom370 <=> op(e2,e5)!=op(e3,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_369, plain, (lhs_atom370+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_84, def_lhs_atom370])).+% 0.08/0.36 fof(def_lhs_atom371, axiom, (lhs_atom371 <=> op(e1,e5)!=op(e5,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_370, plain, (lhs_atom371+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_83, def_lhs_atom371])).+% 0.08/0.36 fof(def_lhs_atom372, axiom, (lhs_atom372 <=> op(e1,e5)!=op(e4,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_371, plain, (lhs_atom372+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_82, def_lhs_atom372])).+% 0.08/0.36 fof(def_lhs_atom373, axiom, (lhs_atom373 <=> op(e1,e5)!=op(e3,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_372, plain, (lhs_atom373+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_81, def_lhs_atom373])).+% 0.08/0.36 fof(def_lhs_atom374, axiom, (lhs_atom374 <=> op(e1,e5)!=op(e2,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_373, plain, (lhs_atom374+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_80, def_lhs_atom374])).+% 0.08/0.36 fof(def_lhs_atom375, axiom, (lhs_atom375 <=> op(e0,e5)!=op(e5,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_374, plain, (lhs_atom375+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_79, def_lhs_atom375])).+% 0.08/0.36 fof(def_lhs_atom376, axiom, (lhs_atom376 <=> op(e0,e5)!=op(e4,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_375, plain, (lhs_atom376+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_78, def_lhs_atom376])).+% 0.08/0.36 fof(def_lhs_atom377, axiom, (lhs_atom377 <=> op(e0,e5)!=op(e3,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_376, plain, (lhs_atom377+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_77, def_lhs_atom377])).+% 0.08/0.36 fof(def_lhs_atom378, axiom, (lhs_atom378 <=> op(e0,e5)!=op(e2,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_377, plain, (lhs_atom378+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_76, def_lhs_atom378])).+% 0.08/0.36 fof(def_lhs_atom379, axiom, (lhs_atom379 <=> op(e0,e5)!=op(e1,e5)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_378, plain, (lhs_atom379+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_75, def_lhs_atom379])).+% 0.08/0.36 fof(def_lhs_atom380, axiom, (lhs_atom380 <=> op(e4,e4)!=op(e5,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_379, plain, (lhs_atom380+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_74, def_lhs_atom380])).+% 0.08/0.36 fof(def_lhs_atom381, axiom, (lhs_atom381 <=> op(e3,e4)!=op(e5,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_380, plain, (lhs_atom381+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_73, def_lhs_atom381])).+% 0.08/0.36 fof(def_lhs_atom382, axiom, (lhs_atom382 <=> op(e3,e4)!=op(e4,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_381, plain, (lhs_atom382+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_72, def_lhs_atom382])).+% 0.08/0.36 fof(def_lhs_atom383, axiom, (lhs_atom383 <=> op(e2,e4)!=op(e5,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_382, plain, (lhs_atom383+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_71, def_lhs_atom383])).+% 0.08/0.36 fof(def_lhs_atom384, axiom, (lhs_atom384 <=> op(e2,e4)!=op(e4,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_383, plain, (lhs_atom384+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_70, def_lhs_atom384])).+% 0.08/0.36 fof(def_lhs_atom385, axiom, (lhs_atom385 <=> op(e2,e4)!=op(e3,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_384, plain, (lhs_atom385+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_69, def_lhs_atom385])).+% 0.08/0.36 fof(def_lhs_atom386, axiom, (lhs_atom386 <=> op(e1,e4)!=op(e5,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_385, plain, (lhs_atom386+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_68, def_lhs_atom386])).+% 0.08/0.36 fof(def_lhs_atom387, axiom, (lhs_atom387 <=> op(e1,e4)!=op(e4,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_386, plain, (lhs_atom387+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_67, def_lhs_atom387])).+% 0.08/0.36 fof(def_lhs_atom388, axiom, (lhs_atom388 <=> op(e1,e4)!=op(e3,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_387, plain, (lhs_atom388+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_66, def_lhs_atom388])).+% 0.08/0.36 fof(def_lhs_atom389, axiom, (lhs_atom389 <=> op(e1,e4)!=op(e2,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_388, plain, (lhs_atom389+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_65, def_lhs_atom389])).+% 0.08/0.36 fof(def_lhs_atom390, axiom, (lhs_atom390 <=> op(e0,e4)!=op(e5,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_389, plain, (lhs_atom390+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_64, def_lhs_atom390])).+% 0.08/0.36 fof(def_lhs_atom391, axiom, (lhs_atom391 <=> op(e0,e4)!=op(e4,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_390, plain, (lhs_atom391+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_63, def_lhs_atom391])).+% 0.08/0.36 fof(def_lhs_atom392, axiom, (lhs_atom392 <=> op(e0,e4)!=op(e3,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_391, plain, (lhs_atom392+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_62, def_lhs_atom392])).+% 0.08/0.36 fof(def_lhs_atom393, axiom, (lhs_atom393 <=> op(e0,e4)!=op(e2,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_392, plain, (lhs_atom393+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_61, def_lhs_atom393])).+% 0.08/0.36 fof(def_lhs_atom394, axiom, (lhs_atom394 <=> op(e0,e4)!=op(e1,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_393, plain, (lhs_atom394+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_60, def_lhs_atom394])).+% 0.08/0.36 fof(def_lhs_atom395, axiom, (lhs_atom395 <=> op(e4,e3)!=op(e5,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_394, plain, (lhs_atom395+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_59, def_lhs_atom395])).+% 0.08/0.36 fof(def_lhs_atom396, axiom, (lhs_atom396 <=> op(e3,e3)!=op(e5,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_395, plain, (lhs_atom396+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_58, def_lhs_atom396])).+% 0.08/0.36 fof(def_lhs_atom397, axiom, (lhs_atom397 <=> op(e3,e3)!=op(e4,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_396, plain, (lhs_atom397+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_57, def_lhs_atom397])).+% 0.08/0.36 fof(def_lhs_atom398, axiom, (lhs_atom398 <=> op(e2,e3)!=op(e5,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_397, plain, (lhs_atom398+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_56, def_lhs_atom398])).+% 0.08/0.36 fof(def_lhs_atom399, axiom, (lhs_atom399 <=> op(e2,e3)!=op(e4,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_398, plain, (lhs_atom399+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_55, def_lhs_atom399])).+% 0.08/0.36 fof(def_lhs_atom400, axiom, (lhs_atom400 <=> op(e2,e3)!=op(e3,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_399, plain, (lhs_atom400+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_54, def_lhs_atom400])).+% 0.08/0.36 fof(def_lhs_atom401, axiom, (lhs_atom401 <=> op(e1,e3)!=op(e5,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_400, plain, (lhs_atom401+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_53, def_lhs_atom401])).+% 0.08/0.36 fof(def_lhs_atom402, axiom, (lhs_atom402 <=> op(e1,e3)!=op(e4,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_401, plain, (lhs_atom402+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_52, def_lhs_atom402])).+% 0.08/0.36 fof(def_lhs_atom403, axiom, (lhs_atom403 <=> op(e1,e3)!=op(e3,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_402, plain, (lhs_atom403+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_51, def_lhs_atom403])).+% 0.08/0.36 fof(def_lhs_atom404, axiom, (lhs_atom404 <=> op(e1,e3)!=op(e2,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_403, plain, (lhs_atom404+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_50, def_lhs_atom404])).+% 0.08/0.36 fof(def_lhs_atom405, axiom, (lhs_atom405 <=> op(e0,e3)!=op(e5,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_404, plain, (lhs_atom405+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_49, def_lhs_atom405])).+% 0.08/0.36 fof(def_lhs_atom406, axiom, (lhs_atom406 <=> op(e0,e3)!=op(e4,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_405, plain, (lhs_atom406+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_48, def_lhs_atom406])).+% 0.08/0.36 fof(def_lhs_atom407, axiom, (lhs_atom407 <=> op(e0,e3)!=op(e3,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_406, plain, (lhs_atom407+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_47, def_lhs_atom407])).+% 0.08/0.36 fof(def_lhs_atom408, axiom, (lhs_atom408 <=> op(e0,e3)!=op(e2,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_407, plain, (lhs_atom408+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_46, def_lhs_atom408])).+% 0.08/0.36 fof(def_lhs_atom409, axiom, (lhs_atom409 <=> op(e0,e3)!=op(e1,e3)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_408, plain, (lhs_atom409+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_45, def_lhs_atom409])).+% 0.08/0.36 fof(def_lhs_atom410, axiom, (lhs_atom410 <=> op(e4,e2)!=op(e5,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_409, plain, (lhs_atom410+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_44, def_lhs_atom410])).+% 0.08/0.36 fof(def_lhs_atom411, axiom, (lhs_atom411 <=> op(e3,e2)!=op(e5,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_410, plain, (lhs_atom411+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_43, def_lhs_atom411])).+% 0.08/0.36 fof(def_lhs_atom412, axiom, (lhs_atom412 <=> op(e3,e2)!=op(e4,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_411, plain, (lhs_atom412+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_42, def_lhs_atom412])).+% 0.08/0.36 fof(def_lhs_atom413, axiom, (lhs_atom413 <=> op(e2,e2)!=op(e5,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_412, plain, (lhs_atom413+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_41, def_lhs_atom413])).+% 0.08/0.36 fof(def_lhs_atom414, axiom, (lhs_atom414 <=> op(e2,e2)!=op(e4,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_413, plain, (lhs_atom414+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_40, def_lhs_atom414])).+% 0.08/0.36 fof(def_lhs_atom415, axiom, (lhs_atom415 <=> op(e2,e2)!=op(e3,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_414, plain, (lhs_atom415+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_39, def_lhs_atom415])).+% 0.08/0.36 fof(def_lhs_atom416, axiom, (lhs_atom416 <=> op(e1,e2)!=op(e5,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_415, plain, (lhs_atom416+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_38, def_lhs_atom416])).+% 0.08/0.36 fof(def_lhs_atom417, axiom, (lhs_atom417 <=> op(e1,e2)!=op(e4,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_416, plain, (lhs_atom417+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_37, def_lhs_atom417])).+% 0.08/0.36 fof(def_lhs_atom418, axiom, (lhs_atom418 <=> op(e1,e2)!=op(e3,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_417, plain, (lhs_atom418+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_36, def_lhs_atom418])).+% 0.08/0.36 fof(def_lhs_atom419, axiom, (lhs_atom419 <=> op(e1,e2)!=op(e2,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_418, plain, (lhs_atom419+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_35, def_lhs_atom419])).+% 0.08/0.36 fof(def_lhs_atom420, axiom, (lhs_atom420 <=> op(e0,e2)!=op(e5,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_419, plain, (lhs_atom420+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_34, def_lhs_atom420])).+% 0.08/0.36 fof(def_lhs_atom421, axiom, (lhs_atom421 <=> op(e0,e2)!=op(e4,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_420, plain, (lhs_atom421+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_33, def_lhs_atom421])).+% 0.08/0.36 fof(def_lhs_atom422, axiom, (lhs_atom422 <=> op(e0,e2)!=op(e3,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_421, plain, (lhs_atom422+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_32, def_lhs_atom422])).+% 0.08/0.36 fof(def_lhs_atom423, axiom, (lhs_atom423 <=> op(e0,e2)!=op(e2,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_422, plain, (lhs_atom423+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_31, def_lhs_atom423])).+% 0.08/0.36 fof(def_lhs_atom424, axiom, (lhs_atom424 <=> op(e0,e2)!=op(e1,e2)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_423, plain, (lhs_atom424+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_30, def_lhs_atom424])).+% 0.08/0.36 fof(def_lhs_atom425, axiom, (lhs_atom425 <=> op(e4,e1)!=op(e5,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_424, plain, (lhs_atom425+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_29, def_lhs_atom425])).+% 0.08/0.36 fof(def_lhs_atom426, axiom, (lhs_atom426 <=> op(e3,e1)!=op(e5,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_425, plain, (lhs_atom426+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_28, def_lhs_atom426])).+% 0.08/0.36 fof(def_lhs_atom427, axiom, (lhs_atom427 <=> op(e3,e1)!=op(e4,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_426, plain, (lhs_atom427+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_27, def_lhs_atom427])).+% 0.08/0.36 fof(def_lhs_atom428, axiom, (lhs_atom428 <=> op(e2,e1)!=op(e5,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_427, plain, (lhs_atom428+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_26, def_lhs_atom428])).+% 0.08/0.36 fof(def_lhs_atom429, axiom, (lhs_atom429 <=> op(e2,e1)!=op(e4,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_428, plain, (lhs_atom429+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_25, def_lhs_atom429])).+% 0.08/0.36 fof(def_lhs_atom430, axiom, (lhs_atom430 <=> op(e2,e1)!=op(e3,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_429, plain, (lhs_atom430+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_24, def_lhs_atom430])).+% 0.08/0.36 fof(def_lhs_atom431, axiom, (lhs_atom431 <=> op(e1,e1)!=op(e5,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_430, plain, (lhs_atom431+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_23, def_lhs_atom431])).+% 0.08/0.36 fof(def_lhs_atom432, axiom, (lhs_atom432 <=> op(e1,e1)!=op(e4,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_431, plain, (lhs_atom432+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_22, def_lhs_atom432])).+% 0.08/0.36 fof(def_lhs_atom433, axiom, (lhs_atom433 <=> op(e1,e1)!=op(e3,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_432, plain, (lhs_atom433+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_21, def_lhs_atom433])).+% 0.08/0.36 fof(def_lhs_atom434, axiom, (lhs_atom434 <=> op(e1,e1)!=op(e2,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_433, plain, (lhs_atom434+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_20, def_lhs_atom434])).+% 0.08/0.36 fof(def_lhs_atom435, axiom, (lhs_atom435 <=> op(e0,e1)!=op(e5,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_434, plain, (lhs_atom435+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_19, def_lhs_atom435])).+% 0.08/0.36 fof(def_lhs_atom436, axiom, (lhs_atom436 <=> op(e0,e1)!=op(e4,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_435, plain, (lhs_atom436+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_18, def_lhs_atom436])).+% 0.08/0.36 fof(def_lhs_atom437, axiom, (lhs_atom437 <=> op(e0,e1)!=op(e3,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_436, plain, (lhs_atom437+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_17, def_lhs_atom437])).+% 0.08/0.36 fof(def_lhs_atom438, axiom, (lhs_atom438 <=> op(e0,e1)!=op(e2,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_437, plain, (lhs_atom438+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_16, def_lhs_atom438])).+% 0.08/0.36 fof(def_lhs_atom439, axiom, (lhs_atom439 <=> op(e0,e1)!=op(e1,e1)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_438, plain, (lhs_atom439+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_15, def_lhs_atom439])).+% 0.08/0.36 fof(def_lhs_atom440, axiom, (lhs_atom440 <=> op(e4,e0)!=op(e5,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_439, plain, (lhs_atom440+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_14, def_lhs_atom440])).+% 0.08/0.36 fof(def_lhs_atom441, axiom, (lhs_atom441 <=> op(e3,e0)!=op(e5,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_440, plain, (lhs_atom441+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_13, def_lhs_atom441])).+% 0.08/0.36 fof(def_lhs_atom442, axiom, (lhs_atom442 <=> op(e3,e0)!=op(e4,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_441, plain, (lhs_atom442+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_12, def_lhs_atom442])).+% 0.08/0.36 fof(def_lhs_atom443, axiom, (lhs_atom443 <=> op(e2,e0)!=op(e5,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_442, plain, (lhs_atom443+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_11, def_lhs_atom443])).+% 0.08/0.36 fof(def_lhs_atom444, axiom, (lhs_atom444 <=> op(e2,e0)!=op(e4,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_443, plain, (lhs_atom444+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_10, def_lhs_atom444])).+% 0.08/0.36 fof(def_lhs_atom445, axiom, (lhs_atom445 <=> op(e2,e0)!=op(e3,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_444, plain, (lhs_atom445+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_9, def_lhs_atom445])).+% 0.08/0.36 fof(def_lhs_atom446, axiom, (lhs_atom446 <=> op(e1,e0)!=op(e5,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_445, plain, (lhs_atom446+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_8, def_lhs_atom446])).+% 0.08/0.36 fof(def_lhs_atom447, axiom, (lhs_atom447 <=> op(e1,e0)!=op(e4,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_446, plain, (lhs_atom447+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_7, def_lhs_atom447])).+% 0.08/0.36 fof(def_lhs_atom448, axiom, (lhs_atom448 <=> op(e1,e0)!=op(e3,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_447, plain, (lhs_atom448+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_6, def_lhs_atom448])).+% 0.08/0.36 fof(def_lhs_atom449, axiom, (lhs_atom449 <=> op(e1,e0)!=op(e2,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_448, plain, (lhs_atom449+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_5, def_lhs_atom449])).+% 0.08/0.36 fof(def_lhs_atom450, axiom, (lhs_atom450 <=> op(e0,e0)!=op(e5,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_449, plain, (lhs_atom450+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_4, def_lhs_atom450])).+% 0.08/0.36 fof(def_lhs_atom451, axiom, (lhs_atom451 <=> op(e0,e0)!=op(e4,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_450, plain, (lhs_atom451+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_3, def_lhs_atom451])).+% 0.08/0.36 fof(def_lhs_atom452, axiom, (lhs_atom452 <=> op(e0,e0)!=op(e3,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_451, plain, (lhs_atom452+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_2, def_lhs_atom452])).+% 0.08/0.36 fof(def_lhs_atom453, axiom, (lhs_atom453 <=> op(e0,e0)!=op(e2,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_452, plain, (lhs_atom453+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_1, def_lhs_atom453])).+% 0.08/0.36 fof(def_lhs_atom454, axiom, (lhs_atom454 <=> op(e0,e0)!=op(e1,e0)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_453, plain, (lhs_atom454+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax9_0, def_lhs_atom454])).+% 0.08/0.36 fof(def_lhs_atom455, axiom, (lhs_atom455 <=> e4!=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_454, plain, (lhs_atom455+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_14, def_lhs_atom455])).+% 0.08/0.36 fof(def_lhs_atom456, axiom, (lhs_atom456 <=> e3!=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_455, plain, (lhs_atom456+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_13, def_lhs_atom456])).+% 0.08/0.36 fof(def_lhs_atom457, axiom, (lhs_atom457 <=> e3!=e4), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_456, plain, (lhs_atom457+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_12, def_lhs_atom457])).+% 0.08/0.36 fof(def_lhs_atom458, axiom, (lhs_atom458 <=> e2!=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_457, plain, (lhs_atom458+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_11, def_lhs_atom458])).+% 0.08/0.36 fof(def_lhs_atom459, axiom, (lhs_atom459 <=> e2!=e4), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_458, plain, (lhs_atom459+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_10, def_lhs_atom459])).+% 0.08/0.36 fof(def_lhs_atom460, axiom, (lhs_atom460 <=> e2!=e3), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_459, plain, (lhs_atom460+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_9, def_lhs_atom460])).+% 0.08/0.36 fof(def_lhs_atom461, axiom, (lhs_atom461 <=> e1!=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_460, plain, (lhs_atom461+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_8, def_lhs_atom461])).+% 0.08/0.36 fof(def_lhs_atom462, axiom, (lhs_atom462 <=> e1!=e4), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_461, plain, (lhs_atom462+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_7, def_lhs_atom462])).+% 0.08/0.36 fof(def_lhs_atom463, axiom, (lhs_atom463 <=> e1!=e3), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_462, plain, (lhs_atom463+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_6, def_lhs_atom463])).+% 0.08/0.36 fof(def_lhs_atom464, axiom, (lhs_atom464 <=> e1!=e2), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_463, plain, (lhs_atom464+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_5, def_lhs_atom464])).+% 0.08/0.36 fof(def_lhs_atom465, axiom, (lhs_atom465 <=> e0!=e5), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_464, plain, (lhs_atom465+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_4, def_lhs_atom465])).+% 0.08/0.36 fof(def_lhs_atom466, axiom, (lhs_atom466 <=> e0!=e4), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_465, plain, (lhs_atom466+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_3, def_lhs_atom466])).+% 0.08/0.36 fof(def_lhs_atom467, axiom, (lhs_atom467 <=> e0!=e3), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_466, plain, (lhs_atom467+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_2, def_lhs_atom467])).+% 0.08/0.36 fof(def_lhs_atom468, axiom, (lhs_atom468 <=> e0!=e2), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_467, plain, (lhs_atom468+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_1, def_lhs_atom468])).+% 0.08/0.36 fof(def_lhs_atom469, axiom, (lhs_atom469 <=> e0!=e1), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_468, plain, (lhs_atom469+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax10_0, def_lhs_atom469])).+% 0.08/0.36 fof(def_lhs_atom470, axiom, (lhs_atom470 <=> e5=op(op(op(op(e4,e4),e4),e4),e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_469, plain, (lhs_atom470+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax11_4, def_lhs_atom470])).+% 0.08/0.36 fof(def_lhs_atom471, axiom, (lhs_atom471 <=> e3=op(e4,e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_470, plain, (lhs_atom471+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax11_3, def_lhs_atom471])).+% 0.08/0.36 fof(def_lhs_atom472, axiom, (lhs_atom472 <=> e2=op(op(op(e4,e4),e4),e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_471, plain, (lhs_atom472+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax11_2, def_lhs_atom472])).+% 0.08/0.36 fof(def_lhs_atom473, axiom, (lhs_atom473 <=> e1=op(op(e4,e4),e4)), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_472, plain, (lhs_atom473+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax11_1, def_lhs_atom473])).+% 0.08/0.36 fof(def_lhs_atom474, axiom, (lhs_atom474 <=> e0=op(op(op(op(e4,e4),e4),e4),op(e4,e4))), inference(definition,[],[])).+% 0.08/0.36 fof(to_be_clausified_473, plain, (lhs_atom474+% 0.08/0.36 |$false), inference(fold_definition,[status(thm)],[ax11_0, def_lhs_atom474])).+% 0.08/0.36 % Start CNF derivation+% 0.08/0.36 fof(c_0_0, axiom, ((lhs_atom259|inv(e0)=e0)), file('<stdin>', to_be_clausified_258)).+% 0.08/0.36 fof(c_0_1, axiom, ((lhs_atom258|inv(e1)=e0)), file('<stdin>', to_be_clausified_257)).+% 0.08/0.36 fof(c_0_2, axiom, ((lhs_atom257|inv(e2)=e0)), file('<stdin>', to_be_clausified_256)).+% 0.08/0.36 fof(c_0_3, axiom, ((lhs_atom256|inv(e3)=e0)), file('<stdin>', to_be_clausified_255)).+% 0.08/0.36 fof(c_0_4, axiom, ((lhs_atom255|inv(e4)=e0)), file('<stdin>', to_be_clausified_254)).+% 0.08/0.36 fof(c_0_5, axiom, ((lhs_atom254|inv(e5)=e0)), file('<stdin>', to_be_clausified_253)).+% 0.08/0.36 fof(c_0_6, axiom, ((lhs_atom253|inv(e0)=e1)), file('<stdin>', to_be_clausified_252)).+% 0.08/0.36 fof(c_0_7, axiom, ((lhs_atom252|inv(e1)=e1)), file('<stdin>', to_be_clausified_251)).+% 0.08/0.36 fof(c_0_8, axiom, ((lhs_atom251|inv(e2)=e1)), file('<stdin>', to_be_clausified_250)).+% 0.08/0.36 fof(c_0_9, axiom, ((lhs_atom250|inv(e3)=e1)), file('<stdin>', to_be_clausified_249)).+% 0.08/0.36 fof(c_0_10, axiom, ((lhs_atom249|inv(e4)=e1)), file('<stdin>', to_be_clausified_248)).+% 0.08/0.36 fof(c_0_11, axiom, ((lhs_atom248|inv(e5)=e1)), file('<stdin>', to_be_clausified_247)).+% 0.08/0.36 fof(c_0_12, axiom, ((lhs_atom247|inv(e0)=e2)), file('<stdin>', to_be_clausified_246)).+% 0.08/0.36 fof(c_0_13, axiom, ((lhs_atom246|inv(e1)=e2)), file('<stdin>', to_be_clausified_245)).+% 0.08/0.36 fof(c_0_14, axiom, ((lhs_atom245|inv(e2)=e2)), file('<stdin>', to_be_clausified_244)).+% 0.08/0.36 fof(c_0_15, axiom, ((lhs_atom244|inv(e3)=e2)), file('<stdin>', to_be_clausified_243)).+% 0.08/0.36 fof(c_0_16, axiom, ((lhs_atom243|inv(e4)=e2)), file('<stdin>', to_be_clausified_242)).+% 0.08/0.36 fof(c_0_17, axiom, ((lhs_atom242|inv(e5)=e2)), file('<stdin>', to_be_clausified_241)).+% 0.08/0.36 fof(c_0_18, axiom, ((lhs_atom241|inv(e0)=e3)), file('<stdin>', to_be_clausified_240)).+% 0.08/0.36 fof(c_0_19, axiom, ((lhs_atom240|inv(e1)=e3)), file('<stdin>', to_be_clausified_239)).+% 0.08/0.36 fof(c_0_20, axiom, ((lhs_atom239|inv(e2)=e3)), file('<stdin>', to_be_clausified_238)).+% 0.08/0.36 fof(c_0_21, axiom, ((lhs_atom238|inv(e3)=e3)), file('<stdin>', to_be_clausified_237)).+% 0.08/0.36 fof(c_0_22, axiom, ((lhs_atom237|inv(e4)=e3)), file('<stdin>', to_be_clausified_236)).+% 0.08/0.36 fof(c_0_23, axiom, ((lhs_atom236|inv(e5)=e3)), file('<stdin>', to_be_clausified_235)).+% 0.08/0.36 fof(c_0_24, axiom, ((lhs_atom235|inv(e0)=e4)), file('<stdin>', to_be_clausified_234)).+% 0.08/0.36 fof(c_0_25, axiom, ((lhs_atom234|inv(e1)=e4)), file('<stdin>', to_be_clausified_233)).+% 0.08/0.36 fof(c_0_26, axiom, ((lhs_atom233|inv(e2)=e4)), file('<stdin>', to_be_clausified_232)).+% 0.08/0.36 fof(c_0_27, axiom, ((lhs_atom232|inv(e3)=e4)), file('<stdin>', to_be_clausified_231)).+% 0.08/0.36 fof(c_0_28, axiom, ((lhs_atom231|inv(e4)=e4)), file('<stdin>', to_be_clausified_230)).+% 0.08/0.36 fof(c_0_29, axiom, ((lhs_atom230|inv(e5)=e4)), file('<stdin>', to_be_clausified_229)).+% 0.08/0.36 fof(c_0_30, axiom, ((lhs_atom229|inv(e0)=e5)), file('<stdin>', to_be_clausified_228)).+% 0.08/0.36 fof(c_0_31, axiom, ((lhs_atom228|inv(e1)=e5)), file('<stdin>', to_be_clausified_227)).+% 0.08/0.36 fof(c_0_32, axiom, ((lhs_atom227|inv(e2)=e5)), file('<stdin>', to_be_clausified_226)).+% 0.08/0.36 fof(c_0_33, axiom, ((lhs_atom226|inv(e3)=e5)), file('<stdin>', to_be_clausified_225)).+% 0.08/0.36 fof(c_0_34, axiom, ((lhs_atom225|inv(e4)=e5)), file('<stdin>', to_be_clausified_224)).+% 0.08/0.36 fof(c_0_35, axiom, ((lhs_atom224|inv(e5)=e5)), file('<stdin>', to_be_clausified_223)).+% 0.08/0.36 fof(c_0_36, axiom, ((lhs_atom474|~$true)), file('<stdin>', to_be_clausified_473)).+% 0.08/0.36 fof(c_0_37, axiom, ((lhs_atom473|~$true)), file('<stdin>', to_be_clausified_472)).+% 0.08/0.36 fof(c_0_38, axiom, ((lhs_atom472|~$true)), file('<stdin>', to_be_clausified_471)).+% 0.08/0.36 fof(c_0_39, axiom, ((lhs_atom471|~$true)), file('<stdin>', to_be_clausified_470)).+% 0.08/0.36 fof(c_0_40, axiom, ((lhs_atom470|~$true)), file('<stdin>', to_be_clausified_469)).+% 0.08/0.36 fof(c_0_41, axiom, ((lhs_atom469|~$true)), file('<stdin>', to_be_clausified_468)).+% 0.08/0.36 fof(c_0_42, axiom, ((lhs_atom468|~$true)), file('<stdin>', to_be_clausified_467)).+% 0.08/0.36 fof(c_0_43, axiom, ((lhs_atom467|~$true)), file('<stdin>', to_be_clausified_466)).+% 0.08/0.36 fof(c_0_44, axiom, ((lhs_atom466|~$true)), file('<stdin>', to_be_clausified_465)).+% 0.08/0.36 fof(c_0_45, axiom, ((lhs_atom465|~$true)), file('<stdin>', to_be_clausified_464)).+% 0.08/0.36 fof(c_0_46, axiom, ((lhs_atom464|~$true)), file('<stdin>', to_be_clausified_463)).+% 0.08/0.36 fof(c_0_47, axiom, ((lhs_atom463|~$true)), file('<stdin>', to_be_clausified_462)).+% 0.08/0.36 fof(c_0_48, axiom, ((lhs_atom462|~$true)), file('<stdin>', to_be_clausified_461)).+% 0.08/0.36 fof(c_0_49, axiom, ((lhs_atom461|~$true)), file('<stdin>', to_be_clausified_460)).+% 0.08/0.36 fof(c_0_50, axiom, ((lhs_atom460|~$true)), file('<stdin>', to_be_clausified_459)).+% 0.08/0.36 fof(c_0_51, axiom, ((lhs_atom459|~$true)), file('<stdin>', to_be_clausified_458)).+% 0.08/0.36 fof(c_0_52, axiom, ((lhs_atom458|~$true)), file('<stdin>', to_be_clausified_457)).+% 0.08/0.36 fof(c_0_53, axiom, ((lhs_atom457|~$true)), file('<stdin>', to_be_clausified_456)).+% 0.08/0.36 fof(c_0_54, axiom, ((lhs_atom456|~$true)), file('<stdin>', to_be_clausified_455)).+% 0.08/0.36 fof(c_0_55, axiom, ((lhs_atom455|~$true)), file('<stdin>', to_be_clausified_454)).+% 0.08/0.36 fof(c_0_56, axiom, ((lhs_atom454|~$true)), file('<stdin>', to_be_clausified_453)).+% 0.08/0.36 fof(c_0_57, axiom, ((lhs_atom453|~$true)), file('<stdin>', to_be_clausified_452)).+% 0.08/0.36 fof(c_0_58, axiom, ((lhs_atom452|~$true)), file('<stdin>', to_be_clausified_451)).+% 0.08/0.36 fof(c_0_59, axiom, ((lhs_atom451|~$true)), file('<stdin>', to_be_clausified_450)).+% 0.08/0.36 fof(c_0_60, axiom, ((lhs_atom450|~$true)), file('<stdin>', to_be_clausified_449)).+% 0.08/0.36 fof(c_0_61, axiom, ((lhs_atom449|~$true)), file('<stdin>', to_be_clausified_448)).+% 0.08/0.36 fof(c_0_62, axiom, ((lhs_atom448|~$true)), file('<stdin>', to_be_clausified_447)).+% 0.08/0.36 fof(c_0_63, axiom, ((lhs_atom447|~$true)), file('<stdin>', to_be_clausified_446)).+% 0.08/0.36 fof(c_0_64, axiom, ((lhs_atom446|~$true)), file('<stdin>', to_be_clausified_445)).+% 0.08/0.36 fof(c_0_65, axiom, ((lhs_atom445|~$true)), file('<stdin>', to_be_clausified_444)).+% 0.08/0.36 fof(c_0_66, axiom, ((lhs_atom444|~$true)), file('<stdin>', to_be_clausified_443)).+% 0.08/0.36 fof(c_0_67, axiom, ((lhs_atom443|~$true)), file('<stdin>', to_be_clausified_442)).+% 0.08/0.36 fof(c_0_68, axiom, ((lhs_atom442|~$true)), file('<stdin>', to_be_clausified_441)).+% 0.08/0.36 fof(c_0_69, axiom, ((lhs_atom441|~$true)), file('<stdin>', to_be_clausified_440)).+% 0.08/0.36 fof(c_0_70, axiom, ((lhs_atom440|~$true)), file('<stdin>', to_be_clausified_439)).+% 0.08/0.36 fof(c_0_71, axiom, ((lhs_atom439|~$true)), file('<stdin>', to_be_clausified_438)).+% 0.08/0.36 fof(c_0_72, axiom, ((lhs_atom438|~$true)), file('<stdin>', to_be_clausified_437)).+% 0.08/0.36 fof(c_0_73, axiom, ((lhs_atom437|~$true)), file('<stdin>', to_be_clausified_436)).+% 0.08/0.36 fof(c_0_74, axiom, ((lhs_atom436|~$true)), file('<stdin>', to_be_clausified_435)).+% 0.08/0.36 fof(c_0_75, axiom, ((lhs_atom435|~$true)), file('<stdin>', to_be_clausified_434)).+% 0.08/0.36 fof(c_0_76, axiom, ((lhs_atom434|~$true)), file('<stdin>', to_be_clausified_433)).+% 0.08/0.36 fof(c_0_77, axiom, ((lhs_atom433|~$true)), file('<stdin>', to_be_clausified_432)).+% 0.08/0.36 fof(c_0_78, axiom, ((lhs_atom432|~$true)), file('<stdin>', to_be_clausified_431)).+% 0.08/0.36 fof(c_0_79, axiom, ((lhs_atom431|~$true)), file('<stdin>', to_be_clausified_430)).+% 0.08/0.36 fof(c_0_80, axiom, ((lhs_atom430|~$true)), file('<stdin>', to_be_clausified_429)).+% 0.08/0.36 fof(c_0_81, axiom, ((lhs_atom429|~$true)), file('<stdin>', to_be_clausified_428)).+% 0.08/0.36 fof(c_0_82, axiom, ((lhs_atom428|~$true)), file('<stdin>', to_be_clausified_427)).+% 0.08/0.36 fof(c_0_83, axiom, ((lhs_atom427|~$true)), file('<stdin>', to_be_clausified_426)).+% 0.08/0.36 fof(c_0_84, axiom, ((lhs_atom426|~$true)), file('<stdin>', to_be_clausified_425)).+% 0.08/0.36 fof(c_0_85, axiom, ((lhs_atom425|~$true)), file('<stdin>', to_be_clausified_424)).+% 0.08/0.36 fof(c_0_86, axiom, ((lhs_atom424|~$true)), file('<stdin>', to_be_clausified_423)).+% 0.08/0.36 fof(c_0_87, axiom, ((lhs_atom423|~$true)), file('<stdin>', to_be_clausified_422)).+% 0.08/0.36 fof(c_0_88, axiom, ((lhs_atom422|~$true)), file('<stdin>', to_be_clausified_421)).+% 0.08/0.36 fof(c_0_89, axiom, ((lhs_atom421|~$true)), file('<stdin>', to_be_clausified_420)).+% 0.08/0.36 fof(c_0_90, axiom, ((lhs_atom420|~$true)), file('<stdin>', to_be_clausified_419)).+% 0.08/0.36 fof(c_0_91, axiom, ((lhs_atom419|~$true)), file('<stdin>', to_be_clausified_418)).+% 0.08/0.36 fof(c_0_92, axiom, ((lhs_atom418|~$true)), file('<stdin>', to_be_clausified_417)).+% 0.08/0.36 fof(c_0_93, axiom, ((lhs_atom417|~$true)), file('<stdin>', to_be_clausified_416)).+% 0.08/0.36 fof(c_0_94, axiom, ((lhs_atom416|~$true)), file('<stdin>', to_be_clausified_415)).+% 0.08/0.36 fof(c_0_95, axiom, ((lhs_atom415|~$true)), file('<stdin>', to_be_clausified_414)).+% 0.08/0.36 fof(c_0_96, axiom, ((lhs_atom414|~$true)), file('<stdin>', to_be_clausified_413)).+% 0.08/0.36 fof(c_0_97, axiom, ((lhs_atom413|~$true)), file('<stdin>', to_be_clausified_412)).+% 0.08/0.36 fof(c_0_98, axiom, ((lhs_atom412|~$true)), file('<stdin>', to_be_clausified_411)).+% 0.08/0.36 fof(c_0_99, axiom, ((lhs_atom411|~$true)), file('<stdin>', to_be_clausified_410)).+% 0.08/0.36 fof(c_0_100, axiom, ((lhs_atom410|~$true)), file('<stdin>', to_be_clausified_409)).+% 0.08/0.36 fof(c_0_101, axiom, ((lhs_atom409|~$true)), file('<stdin>', to_be_clausified_408)).+% 0.08/0.36 fof(c_0_102, axiom, ((lhs_atom408|~$true)), file('<stdin>', to_be_clausified_407)).+% 0.08/0.36 fof(c_0_103, axiom, ((lhs_atom407|~$true)), file('<stdin>', to_be_clausified_406)).+% 0.08/0.36 fof(c_0_104, axiom, ((lhs_atom406|~$true)), file('<stdin>', to_be_clausified_405)).+% 0.08/0.36 fof(c_0_105, axiom, ((lhs_atom405|~$true)), file('<stdin>', to_be_clausified_404)).+% 0.08/0.36 fof(c_0_106, axiom, ((lhs_atom404|~$true)), file('<stdin>', to_be_clausified_403)).+% 0.08/0.36 fof(c_0_107, axiom, ((lhs_atom403|~$true)), file('<stdin>', to_be_clausified_402)).+% 0.08/0.36 fof(c_0_108, axiom, ((lhs_atom402|~$true)), file('<stdin>', to_be_clausified_401)).+% 0.08/0.36 fof(c_0_109, axiom, ((lhs_atom401|~$true)), file('<stdin>', to_be_clausified_400)).+% 0.08/0.36 fof(c_0_110, axiom, ((lhs_atom400|~$true)), file('<stdin>', to_be_clausified_399)).+% 0.08/0.36 fof(c_0_111, axiom, ((lhs_atom399|~$true)), file('<stdin>', to_be_clausified_398)).+% 0.08/0.36 fof(c_0_112, axiom, ((lhs_atom398|~$true)), file('<stdin>', to_be_clausified_397)).+% 0.08/0.36 fof(c_0_113, axiom, ((lhs_atom397|~$true)), file('<stdin>', to_be_clausified_396)).+% 0.08/0.36 fof(c_0_114, axiom, ((lhs_atom396|~$true)), file('<stdin>', to_be_clausified_395)).+% 0.08/0.36 fof(c_0_115, axiom, ((lhs_atom395|~$true)), file('<stdin>', to_be_clausified_394)).+% 0.08/0.36 fof(c_0_116, axiom, ((lhs_atom394|~$true)), file('<stdin>', to_be_clausified_393)).+% 0.08/0.36 fof(c_0_117, axiom, ((lhs_atom393|~$true)), file('<stdin>', to_be_clausified_392)).+% 0.08/0.36 fof(c_0_118, axiom, ((lhs_atom392|~$true)), file('<stdin>', to_be_clausified_391)).+% 0.08/0.36 fof(c_0_119, axiom, ((lhs_atom391|~$true)), file('<stdin>', to_be_clausified_390)).+% 0.08/0.36 fof(c_0_120, axiom, ((lhs_atom390|~$true)), file('<stdin>', to_be_clausified_389)).+% 0.08/0.36 fof(c_0_121, axiom, ((lhs_atom389|~$true)), file('<stdin>', to_be_clausified_388)).+% 0.08/0.36 fof(c_0_122, axiom, ((lhs_atom388|~$true)), file('<stdin>', to_be_clausified_387)).+% 0.08/0.36 fof(c_0_123, axiom, ((lhs_atom387|~$true)), file('<stdin>', to_be_clausified_386)).+% 0.08/0.36 fof(c_0_124, axiom, ((lhs_atom386|~$true)), file('<stdin>', to_be_clausified_385)).+% 0.08/0.36 fof(c_0_125, axiom, ((lhs_atom385|~$true)), file('<stdin>', to_be_clausified_384)).+% 0.08/0.36 fof(c_0_126, axiom, ((lhs_atom384|~$true)), file('<stdin>', to_be_clausified_383)).+% 0.08/0.36 fof(c_0_127, axiom, ((lhs_atom383|~$true)), file('<stdin>', to_be_clausified_382)).+% 0.08/0.36 fof(c_0_128, axiom, ((lhs_atom382|~$true)), file('<stdin>', to_be_clausified_381)).+% 0.08/0.36 fof(c_0_129, axiom, ((lhs_atom381|~$true)), file('<stdin>', to_be_clausified_380)).+% 0.08/0.36 fof(c_0_130, axiom, ((lhs_atom380|~$true)), file('<stdin>', to_be_clausified_379)).+% 0.08/0.36 fof(c_0_131, axiom, ((lhs_atom379|~$true)), file('<stdin>', to_be_clausified_378)).+% 0.08/0.36 fof(c_0_132, axiom, ((lhs_atom378|~$true)), file('<stdin>', to_be_clausified_377)).+% 0.08/0.36 fof(c_0_133, axiom, ((lhs_atom377|~$true)), file('<stdin>', to_be_clausified_376)).+% 0.08/0.36 fof(c_0_134, axiom, ((lhs_atom376|~$true)), file('<stdin>', to_be_clausified_375)).+% 0.08/0.36 fof(c_0_135, axiom, ((lhs_atom375|~$true)), file('<stdin>', to_be_clausified_374)).+% 0.08/0.36 fof(c_0_136, axiom, ((lhs_atom374|~$true)), file('<stdin>', to_be_clausified_373)).+% 0.08/0.36 fof(c_0_137, axiom, ((lhs_atom373|~$true)), file('<stdin>', to_be_clausified_372)).+% 0.08/0.36 fof(c_0_138, axiom, ((lhs_atom372|~$true)), file('<stdin>', to_be_clausified_371)).+% 0.08/0.36 fof(c_0_139, axiom, ((lhs_atom371|~$true)), file('<stdin>', to_be_clausified_370)).+% 0.08/0.36 fof(c_0_140, axiom, ((lhs_atom370|~$true)), file('<stdin>', to_be_clausified_369)).+% 0.08/0.36 fof(c_0_141, axiom, ((lhs_atom369|~$true)), file('<stdin>', to_be_clausified_368)).+% 0.08/0.36 fof(c_0_142, axiom, ((lhs_atom368|~$true)), file('<stdin>', to_be_clausified_367)).+% 0.08/0.36 fof(c_0_143, axiom, ((lhs_atom367|~$true)), file('<stdin>', to_be_clausified_366)).+% 0.08/0.36 fof(c_0_144, axiom, ((lhs_atom366|~$true)), file('<stdin>', to_be_clausified_365)).+% 0.08/0.36 fof(c_0_145, axiom, ((lhs_atom365|~$true)), file('<stdin>', to_be_clausified_364)).+% 0.08/0.36 fof(c_0_146, axiom, ((lhs_atom364|~$true)), file('<stdin>', to_be_clausified_363)).+% 0.08/0.36 fof(c_0_147, axiom, ((lhs_atom363|~$true)), file('<stdin>', to_be_clausified_362)).+% 0.08/0.36 fof(c_0_148, axiom, ((lhs_atom362|~$true)), file('<stdin>', to_be_clausified_361)).+% 0.08/0.36 fof(c_0_149, axiom, ((lhs_atom361|~$true)), file('<stdin>', to_be_clausified_360)).+% 0.08/0.36 fof(c_0_150, axiom, ((lhs_atom360|~$true)), file('<stdin>', to_be_clausified_359)).+% 0.08/0.36 fof(c_0_151, axiom, ((lhs_atom359|~$true)), file('<stdin>', to_be_clausified_358)).+% 0.08/0.36 fof(c_0_152, axiom, ((lhs_atom358|~$true)), file('<stdin>', to_be_clausified_357)).+% 0.08/0.36 fof(c_0_153, axiom, ((lhs_atom357|~$true)), file('<stdin>', to_be_clausified_356)).+% 0.08/0.36 fof(c_0_154, axiom, ((lhs_atom356|~$true)), file('<stdin>', to_be_clausified_355)).+% 0.08/0.36 fof(c_0_155, axiom, ((lhs_atom355|~$true)), file('<stdin>', to_be_clausified_354)).+% 0.08/0.36 fof(c_0_156, axiom, ((lhs_atom354|~$true)), file('<stdin>', to_be_clausified_353)).+% 0.08/0.36 fof(c_0_157, axiom, ((lhs_atom353|~$true)), file('<stdin>', to_be_clausified_352)).+% 0.08/0.36 fof(c_0_158, axiom, ((lhs_atom352|~$true)), file('<stdin>', to_be_clausified_351)).+% 0.08/0.36 fof(c_0_159, axiom, ((lhs_atom351|~$true)), file('<stdin>', to_be_clausified_350)).+% 0.08/0.36 fof(c_0_160, axiom, ((lhs_atom350|~$true)), file('<stdin>', to_be_clausified_349)).+% 0.08/0.36 fof(c_0_161, axiom, ((lhs_atom349|~$true)), file('<stdin>', to_be_clausified_348)).+% 0.08/0.36 fof(c_0_162, axiom, ((lhs_atom348|~$true)), file('<stdin>', to_be_clausified_347)).+% 0.08/0.36 fof(c_0_163, axiom, ((lhs_atom347|~$true)), file('<stdin>', to_be_clausified_346)).+% 0.08/0.36 fof(c_0_164, axiom, ((lhs_atom346|~$true)), file('<stdin>', to_be_clausified_345)).+% 0.08/0.36 fof(c_0_165, axiom, ((lhs_atom345|~$true)), file('<stdin>', to_be_clausified_344)).+% 0.08/0.36 fof(c_0_166, axiom, ((lhs_atom344|~$true)), file('<stdin>', to_be_clausified_343)).+% 0.08/0.36 fof(c_0_167, axiom, ((lhs_atom343|~$true)), file('<stdin>', to_be_clausified_342)).+% 0.08/0.36 fof(c_0_168, axiom, ((lhs_atom342|~$true)), file('<stdin>', to_be_clausified_341)).+% 0.08/0.36 fof(c_0_169, axiom, ((lhs_atom341|~$true)), file('<stdin>', to_be_clausified_340)).+% 0.08/0.36 fof(c_0_170, axiom, ((lhs_atom340|~$true)), file('<stdin>', to_be_clausified_339)).+% 0.08/0.36 fof(c_0_171, axiom, ((lhs_atom339|~$true)), file('<stdin>', to_be_clausified_338)).+% 0.08/0.36 fof(c_0_172, axiom, ((lhs_atom338|~$true)), file('<stdin>', to_be_clausified_337)).+% 0.08/0.36 fof(c_0_173, axiom, ((lhs_atom337|~$true)), file('<stdin>', to_be_clausified_336)).+% 0.08/0.36 fof(c_0_174, axiom, ((lhs_atom336|~$true)), file('<stdin>', to_be_clausified_335)).+% 0.08/0.36 fof(c_0_175, axiom, ((lhs_atom335|~$true)), file('<stdin>', to_be_clausified_334)).+% 0.08/0.36 fof(c_0_176, axiom, ((lhs_atom334|~$true)), file('<stdin>', to_be_clausified_333)).+% 0.08/0.36 fof(c_0_177, axiom, ((lhs_atom333|~$true)), file('<stdin>', to_be_clausified_332)).+% 0.08/0.36 fof(c_0_178, axiom, ((lhs_atom332|~$true)), file('<stdin>', to_be_clausified_331)).+% 0.08/0.36 fof(c_0_179, axiom, ((lhs_atom331|~$true)), file('<stdin>', to_be_clausified_330)).+% 0.08/0.36 fof(c_0_180, axiom, ((lhs_atom330|~$true)), file('<stdin>', to_be_clausified_329)).+% 0.08/0.36 fof(c_0_181, axiom, ((lhs_atom329|~$true)), file('<stdin>', to_be_clausified_328)).+% 0.08/0.36 fof(c_0_182, axiom, ((lhs_atom328|~$true)), file('<stdin>', to_be_clausified_327)).+% 0.08/0.36 fof(c_0_183, axiom, ((lhs_atom327|~$true)), file('<stdin>', to_be_clausified_326)).+% 0.08/0.36 fof(c_0_184, axiom, ((lhs_atom326|~$true)), file('<stdin>', to_be_clausified_325)).+% 0.08/0.36 fof(c_0_185, axiom, ((lhs_atom325|~$true)), file('<stdin>', to_be_clausified_324)).+% 0.08/0.36 fof(c_0_186, axiom, ((lhs_atom324|~$true)), file('<stdin>', to_be_clausified_323)).+% 0.08/0.36 fof(c_0_187, axiom, ((lhs_atom323|~$true)), file('<stdin>', to_be_clausified_322)).+% 0.08/0.36 fof(c_0_188, axiom, ((lhs_atom322|~$true)), file('<stdin>', to_be_clausified_321)).+% 0.08/0.36 fof(c_0_189, axiom, ((lhs_atom321|~$true)), file('<stdin>', to_be_clausified_320)).+% 0.08/0.36 fof(c_0_190, axiom, ((lhs_atom320|~$true)), file('<stdin>', to_be_clausified_319)).+% 0.08/0.36 fof(c_0_191, axiom, ((lhs_atom319|~$true)), file('<stdin>', to_be_clausified_318)).+% 0.08/0.36 fof(c_0_192, axiom, ((lhs_atom318|~$true)), file('<stdin>', to_be_clausified_317)).+% 0.08/0.36 fof(c_0_193, axiom, ((lhs_atom317|~$true)), file('<stdin>', to_be_clausified_316)).+% 0.08/0.36 fof(c_0_194, axiom, ((lhs_atom316|~$true)), file('<stdin>', to_be_clausified_315)).+% 0.08/0.36 fof(c_0_195, axiom, ((lhs_atom315|~$true)), file('<stdin>', to_be_clausified_314)).+% 0.08/0.36 fof(c_0_196, axiom, ((lhs_atom314|~$true)), file('<stdin>', to_be_clausified_313)).+% 0.08/0.36 fof(c_0_197, axiom, ((lhs_atom313|~$true)), file('<stdin>', to_be_clausified_312)).+% 0.08/0.36 fof(c_0_198, axiom, ((lhs_atom312|~$true)), file('<stdin>', to_be_clausified_311)).+% 0.08/0.36 fof(c_0_199, axiom, ((lhs_atom311|~$true)), file('<stdin>', to_be_clausified_310)).+% 0.08/0.36 fof(c_0_200, axiom, ((lhs_atom310|~$true)), file('<stdin>', to_be_clausified_309)).+% 0.08/0.36 fof(c_0_201, axiom, ((lhs_atom309|~$true)), file('<stdin>', to_be_clausified_308)).+% 0.08/0.36 fof(c_0_202, axiom, ((lhs_atom308|~$true)), file('<stdin>', to_be_clausified_307)).+% 0.08/0.36 fof(c_0_203, axiom, ((lhs_atom307|~$true)), file('<stdin>', to_be_clausified_306)).+% 0.08/0.36 fof(c_0_204, axiom, ((lhs_atom306|~$true)), file('<stdin>', to_be_clausified_305)).+% 0.08/0.36 fof(c_0_205, axiom, ((lhs_atom305|~$true)), file('<stdin>', to_be_clausified_304)).+% 0.08/0.36 fof(c_0_206, axiom, ((lhs_atom304|~$true)), file('<stdin>', to_be_clausified_303)).+% 0.08/0.36 fof(c_0_207, axiom, ((lhs_atom303|~$true)), file('<stdin>', to_be_clausified_302)).+% 0.08/0.36 fof(c_0_208, axiom, ((lhs_atom302|~$true)), file('<stdin>', to_be_clausified_301)).+% 0.08/0.36 fof(c_0_209, axiom, ((lhs_atom301|~$true)), file('<stdin>', to_be_clausified_300)).+% 0.08/0.36 fof(c_0_210, axiom, ((lhs_atom300|~$true)), file('<stdin>', to_be_clausified_299)).+% 0.08/0.36 fof(c_0_211, axiom, ((lhs_atom299|~$true)), file('<stdin>', to_be_clausified_298)).+% 0.08/0.36 fof(c_0_212, axiom, ((lhs_atom298|~$true)), file('<stdin>', to_be_clausified_297)).+% 0.08/0.36 fof(c_0_213, axiom, ((lhs_atom297|~$true)), file('<stdin>', to_be_clausified_296)).+% 0.08/0.36 fof(c_0_214, axiom, ((lhs_atom296|~$true)), file('<stdin>', to_be_clausified_295)).+% 0.08/0.36 fof(c_0_215, axiom, ((lhs_atom295|~$true)), file('<stdin>', to_be_clausified_294)).+% 0.08/0.36 fof(c_0_216, axiom, ((lhs_atom294|~$true)), file('<stdin>', to_be_clausified_293)).+% 0.08/0.36 fof(c_0_217, axiom, ((lhs_atom293|~$true)), file('<stdin>', to_be_clausified_292)).+% 0.08/0.36 fof(c_0_218, axiom, ((lhs_atom292|~$true)), file('<stdin>', to_be_clausified_291)).+% 0.08/0.36 fof(c_0_219, axiom, ((lhs_atom291|~$true)), file('<stdin>', to_be_clausified_290)).+% 0.08/0.36 fof(c_0_220, axiom, ((lhs_atom290|~$true)), file('<stdin>', to_be_clausified_289)).+% 0.08/0.36 fof(c_0_221, axiom, ((lhs_atom289|~$true)), file('<stdin>', to_be_clausified_288)).+% 0.08/0.36 fof(c_0_222, axiom, ((lhs_atom288|~$true)), file('<stdin>', to_be_clausified_287)).+% 0.08/0.36 fof(c_0_223, axiom, ((lhs_atom287|~$true)), file('<stdin>', to_be_clausified_286)).+% 0.08/0.36 fof(c_0_224, axiom, ((lhs_atom286|~$true)), file('<stdin>', to_be_clausified_285)).+% 0.08/0.36 fof(c_0_225, axiom, ((lhs_atom285|~$true)), file('<stdin>', to_be_clausified_284)).+% 0.08/0.36 fof(c_0_226, axiom, ((lhs_atom284|~$true)), file('<stdin>', to_be_clausified_283)).+% 0.08/0.36 fof(c_0_227, axiom, ((lhs_atom283|~$true)), file('<stdin>', to_be_clausified_282)).+% 0.08/0.36 fof(c_0_228, axiom, ((lhs_atom282|~$true)), file('<stdin>', to_be_clausified_281)).+% 0.08/0.36 fof(c_0_229, axiom, ((lhs_atom281|~$true)), file('<stdin>', to_be_clausified_280)).+% 0.08/0.36 fof(c_0_230, axiom, ((lhs_atom280|~$true)), file('<stdin>', to_be_clausified_279)).+% 0.08/0.36 fof(c_0_231, axiom, ((lhs_atom279|~$true)), file('<stdin>', to_be_clausified_278)).+% 0.08/0.36 fof(c_0_232, axiom, ((lhs_atom278|~$true)), file('<stdin>', to_be_clausified_277)).+% 0.08/0.36 fof(c_0_233, axiom, ((lhs_atom277|~$true)), file('<stdin>', to_be_clausified_276)).+% 0.08/0.36 fof(c_0_234, axiom, ((lhs_atom276|~$true)), file('<stdin>', to_be_clausified_275)).+% 0.08/0.36 fof(c_0_235, axiom, ((lhs_atom275|~$true)), file('<stdin>', to_be_clausified_274)).+% 0.08/0.36 fof(c_0_236, axiom, ((lhs_atom274|~$true)), file('<stdin>', to_be_clausified_273)).+% 0.08/0.36 fof(c_0_237, axiom, ((lhs_atom273|~$true)), file('<stdin>', to_be_clausified_272)).+% 0.08/0.36 fof(c_0_238, axiom, ((lhs_atom272|~$true)), file('<stdin>', to_be_clausified_271)).+% 0.08/0.36 fof(c_0_239, axiom, ((lhs_atom271|~$true)), file('<stdin>', to_be_clausified_270)).+% 0.08/0.36 fof(c_0_240, axiom, ((lhs_atom270|~$true)), file('<stdin>', to_be_clausified_269)).+% 0.08/0.36 fof(c_0_241, axiom, ((lhs_atom269|~$true)), file('<stdin>', to_be_clausified_268)).+% 0.08/0.36 fof(c_0_242, axiom, ((lhs_atom268|~$true)), file('<stdin>', to_be_clausified_267)).+% 0.08/0.36 fof(c_0_243, axiom, ((lhs_atom267|~$true)), file('<stdin>', to_be_clausified_266)).+% 0.08/0.36 fof(c_0_244, axiom, ((lhs_atom266|~$true)), file('<stdin>', to_be_clausified_265)).+% 0.08/0.36 fof(c_0_245, axiom, ((lhs_atom265|~$true)), file('<stdin>', to_be_clausified_264)).+% 0.08/0.36 fof(c_0_246, axiom, ((lhs_atom264|~$true)), file('<stdin>', to_be_clausified_263)).+% 0.08/0.36 fof(c_0_247, axiom, ((lhs_atom263|~$true)), file('<stdin>', to_be_clausified_262)).+% 0.08/0.36 fof(c_0_248, axiom, ((lhs_atom262|~$true)), file('<stdin>', to_be_clausified_261)).+% 0.08/0.36 fof(c_0_249, axiom, ((lhs_atom261|~$true)), file('<stdin>', to_be_clausified_260)).+% 0.08/0.36 fof(c_0_250, axiom, ((lhs_atom260|~$true)), file('<stdin>', to_be_clausified_259)).+% 0.08/0.36 fof(c_0_251, axiom, ((lhs_atom223|~$true)), file('<stdin>', to_be_clausified_222)).+% 0.08/0.36 fof(c_0_252, axiom, ((lhs_atom222|~$true)), file('<stdin>', to_be_clausified_221)).+% 0.08/0.36 fof(c_0_253, axiom, ((lhs_atom221|~$true)), file('<stdin>', to_be_clausified_220)).+% 0.08/0.36 fof(c_0_254, axiom, ((lhs_atom220|~$true)), file('<stdin>', to_be_clausified_219)).+% 0.08/0.36 fof(c_0_255, axiom, ((lhs_atom219|~$true)), file('<stdin>', to_be_clausified_218)).+% 0.08/0.36 fof(c_0_256, axiom, ((lhs_atom218|~$true)), file('<stdin>', to_be_clausified_217)).+% 0.08/0.36 fof(c_0_257, axiom, ((lhs_atom217|~$true)), file('<stdin>', to_be_clausified_216)).+% 0.08/0.36 fof(c_0_258, axiom, ((lhs_atom216|~$true)), file('<stdin>', to_be_clausified_215)).+% 0.08/0.36 fof(c_0_259, axiom, ((lhs_atom215|~$true)), file('<stdin>', to_be_clausified_214)).+% 0.08/0.36 fof(c_0_260, axiom, ((lhs_atom214|~$true)), file('<stdin>', to_be_clausified_213)).+% 0.08/0.36 fof(c_0_261, axiom, ((lhs_atom213|~$true)), file('<stdin>', to_be_clausified_212)).+% 0.08/0.36 fof(c_0_262, axiom, ((lhs_atom212|~$true)), file('<stdin>', to_be_clausified_211)).+% 0.08/0.36 fof(c_0_263, axiom, ((lhs_atom211|~$true)), file('<stdin>', to_be_clausified_210)).+% 0.08/0.36 fof(c_0_264, axiom, ((lhs_atom210|~$true)), file('<stdin>', to_be_clausified_209)).+% 0.08/0.36 fof(c_0_265, axiom, ((lhs_atom209|~$true)), file('<stdin>', to_be_clausified_208)).+% 0.08/0.36 fof(c_0_266, axiom, ((lhs_atom208|~$true)), file('<stdin>', to_be_clausified_207)).+% 0.08/0.36 fof(c_0_267, axiom, ((lhs_atom207|~$true)), file('<stdin>', to_be_clausified_206)).+% 0.08/0.36 fof(c_0_268, axiom, ((lhs_atom206|~$true)), file('<stdin>', to_be_clausified_205)).+% 0.08/0.36 fof(c_0_269, axiom, ((lhs_atom205|~$true)), file('<stdin>', to_be_clausified_204)).+% 0.08/0.36 fof(c_0_270, axiom, ((lhs_atom204|~$true)), file('<stdin>', to_be_clausified_203)).+% 0.08/0.36 fof(c_0_271, axiom, ((lhs_atom203|~$true)), file('<stdin>', to_be_clausified_202)).+% 0.08/0.36 fof(c_0_272, axiom, ((lhs_atom202|~$true)), file('<stdin>', to_be_clausified_201)).+% 0.08/0.36 fof(c_0_273, axiom, ((lhs_atom201|~$true)), file('<stdin>', to_be_clausified_200)).+% 0.08/0.36 fof(c_0_274, axiom, ((lhs_atom200|~$true)), file('<stdin>', to_be_clausified_199)).+% 0.08/0.36 fof(c_0_275, axiom, ((lhs_atom199|~$true)), file('<stdin>', to_be_clausified_198)).+% 0.08/0.36 fof(c_0_276, axiom, ((lhs_atom198|~$true)), file('<stdin>', to_be_clausified_197)).+% 0.08/0.36 fof(c_0_277, axiom, ((lhs_atom197|~$true)), file('<stdin>', to_be_clausified_196)).+% 0.08/0.36 fof(c_0_278, axiom, ((lhs_atom196|~$true)), file('<stdin>', to_be_clausified_195)).+% 0.08/0.36 fof(c_0_279, axiom, ((lhs_atom195|~$true)), file('<stdin>', to_be_clausified_194)).+% 0.08/0.36 fof(c_0_280, axiom, ((lhs_atom194|~$true)), file('<stdin>', to_be_clausified_193)).+% 0.08/0.36 fof(c_0_281, axiom, ((lhs_atom193|~$true)), file('<stdin>', to_be_clausified_192)).+% 0.08/0.36 fof(c_0_282, axiom, ((lhs_atom192|~$true)), file('<stdin>', to_be_clausified_191)).+% 0.08/0.36 fof(c_0_283, axiom, ((lhs_atom191|~$true)), file('<stdin>', to_be_clausified_190)).+% 0.08/0.36 fof(c_0_284, axiom, ((lhs_atom190|~$true)), file('<stdin>', to_be_clausified_189)).+% 0.08/0.36 fof(c_0_285, axiom, ((lhs_atom189|~$true)), file('<stdin>', to_be_clausified_188)).+% 0.08/0.36 fof(c_0_286, axiom, ((lhs_atom188|~$true)), file('<stdin>', to_be_clausified_187)).+% 0.08/0.36 fof(c_0_287, axiom, ((lhs_atom187|~$true)), file('<stdin>', to_be_clausified_186)).+% 0.08/0.36 fof(c_0_288, axiom, ((lhs_atom186|~$true)), file('<stdin>', to_be_clausified_185)).+% 0.08/0.36 fof(c_0_289, axiom, ((lhs_atom185|~$true)), file('<stdin>', to_be_clausified_184)).+% 0.08/0.36 fof(c_0_290, axiom, ((lhs_atom184|~$true)), file('<stdin>', to_be_clausified_183)).+% 0.08/0.36 fof(c_0_291, axiom, ((lhs_atom183|~$true)), file('<stdin>', to_be_clausified_182)).+% 0.08/0.36 fof(c_0_292, axiom, ((lhs_atom182|~$true)), file('<stdin>', to_be_clausified_181)).+% 0.08/0.36 fof(c_0_293, axiom, ((lhs_atom181|~$true)), file('<stdin>', to_be_clausified_180)).+% 0.08/0.36 fof(c_0_294, axiom, ((lhs_atom180|~$true)), file('<stdin>', to_be_clausified_179)).+% 0.08/0.36 fof(c_0_295, axiom, ((lhs_atom179|~$true)), file('<stdin>', to_be_clausified_178)).+% 0.08/0.36 fof(c_0_296, axiom, ((lhs_atom178|~$true)), file('<stdin>', to_be_clausified_177)).+% 0.08/0.36 fof(c_0_297, axiom, ((lhs_atom177|~$true)), file('<stdin>', to_be_clausified_176)).+% 0.08/0.36 fof(c_0_298, axiom, ((lhs_atom176|~$true)), file('<stdin>', to_be_clausified_175)).+% 0.08/0.36 fof(c_0_299, axiom, ((lhs_atom175|~$true)), file('<stdin>', to_be_clausified_174)).+% 0.08/0.36 fof(c_0_300, axiom, ((lhs_atom174|~$true)), file('<stdin>', to_be_clausified_173)).+% 0.08/0.36 fof(c_0_301, axiom, ((lhs_atom173|~$true)), file('<stdin>', to_be_clausified_172)).+% 0.08/0.36 fof(c_0_302, axiom, ((lhs_atom172|~$true)), file('<stdin>', to_be_clausified_171)).+% 0.08/0.36 fof(c_0_303, axiom, ((lhs_atom171|~$true)), file('<stdin>', to_be_clausified_170)).+% 0.08/0.36 fof(c_0_304, axiom, ((lhs_atom170|~$true)), file('<stdin>', to_be_clausified_169)).+% 0.08/0.36 fof(c_0_305, axiom, ((lhs_atom169|~$true)), file('<stdin>', to_be_clausified_168)).+% 0.08/0.36 fof(c_0_306, axiom, ((lhs_atom168|~$true)), file('<stdin>', to_be_clausified_167)).+% 0.08/0.36 fof(c_0_307, axiom, ((lhs_atom167|~$true)), file('<stdin>', to_be_clausified_166)).+% 0.08/0.36 fof(c_0_308, axiom, ((lhs_atom166|~$true)), file('<stdin>', to_be_clausified_165)).+% 0.08/0.36 fof(c_0_309, axiom, ((lhs_atom165|~$true)), file('<stdin>', to_be_clausified_164)).+% 0.08/0.36 fof(c_0_310, axiom, ((lhs_atom164|~$true)), file('<stdin>', to_be_clausified_163)).+% 0.08/0.36 fof(c_0_311, axiom, ((lhs_atom163|~$true)), file('<stdin>', to_be_clausified_162)).+% 0.08/0.36 fof(c_0_312, axiom, ((lhs_atom162|~$true)), file('<stdin>', to_be_clausified_161)).+% 0.08/0.36 fof(c_0_313, axiom, ((lhs_atom161|~$true)), file('<stdin>', to_be_clausified_160)).+% 0.08/0.36 fof(c_0_314, axiom, ((lhs_atom160|~$true)), file('<stdin>', to_be_clausified_159)).+% 0.08/0.36 fof(c_0_315, axiom, ((lhs_atom159|~$true)), file('<stdin>', to_be_clausified_158)).+% 0.08/0.36 fof(c_0_316, axiom, ((lhs_atom158|~$true)), file('<stdin>', to_be_clausified_157)).+% 0.08/0.36 fof(c_0_317, axiom, ((lhs_atom157|~$true)), file('<stdin>', to_be_clausified_156)).+% 0.08/0.36 fof(c_0_318, axiom, ((lhs_atom156|~$true)), file('<stdin>', to_be_clausified_155)).+% 0.08/0.36 fof(c_0_319, axiom, ((lhs_atom155|~$true)), file('<stdin>', to_be_clausified_154)).+% 0.08/0.36 fof(c_0_320, axiom, ((lhs_atom154|~$true)), file('<stdin>', to_be_clausified_153)).+% 0.08/0.36 fof(c_0_321, axiom, ((lhs_atom153|~$true)), file('<stdin>', to_be_clausified_152)).+% 0.08/0.36 fof(c_0_322, axiom, ((lhs_atom152|~$true)), file('<stdin>', to_be_clausified_151)).+% 0.08/0.36 fof(c_0_323, axiom, ((lhs_atom151|~$true)), file('<stdin>', to_be_clausified_150)).+% 0.08/0.36 fof(c_0_324, axiom, ((lhs_atom150|~$true)), file('<stdin>', to_be_clausified_149)).+% 0.08/0.36 fof(c_0_325, axiom, ((lhs_atom149|~$true)), file('<stdin>', to_be_clausified_148)).+% 0.08/0.36 fof(c_0_326, axiom, ((lhs_atom148|~$true)), file('<stdin>', to_be_clausified_147)).+% 0.08/0.36 fof(c_0_327, axiom, ((lhs_atom147|~$true)), file('<stdin>', to_be_clausified_146)).+% 0.08/0.36 fof(c_0_328, axiom, ((lhs_atom146|~$true)), file('<stdin>', to_be_clausified_145)).+% 0.08/0.36 fof(c_0_329, axiom, ((lhs_atom145|~$true)), file('<stdin>', to_be_clausified_144)).+% 0.08/0.36 fof(c_0_330, axiom, ((lhs_atom144|~$true)), file('<stdin>', to_be_clausified_143)).+% 0.08/0.36 fof(c_0_331, axiom, ((lhs_atom143|~$true)), file('<stdin>', to_be_clausified_142)).+% 0.08/0.36 fof(c_0_332, axiom, ((lhs_atom142|~$true)), file('<stdin>', to_be_clausified_141)).+% 0.08/0.36 fof(c_0_333, axiom, ((lhs_atom141|~$true)), file('<stdin>', to_be_clausified_140)).+% 0.08/0.36 fof(c_0_334, axiom, ((lhs_atom140|~$true)), file('<stdin>', to_be_clausified_139)).+% 0.08/0.36 fof(c_0_335, axiom, ((lhs_atom139|~$true)), file('<stdin>', to_be_clausified_138)).+% 0.08/0.36 fof(c_0_336, axiom, ((lhs_atom138|~$true)), file('<stdin>', to_be_clausified_137)).+% 0.08/0.36 fof(c_0_337, axiom, ((lhs_atom137|~$true)), file('<stdin>', to_be_clausified_136)).+% 0.08/0.36 fof(c_0_338, axiom, ((lhs_atom136|~$true)), file('<stdin>', to_be_clausified_135)).+% 0.08/0.36 fof(c_0_339, axiom, ((lhs_atom135|~$true)), file('<stdin>', to_be_clausified_134)).+% 0.08/0.36 fof(c_0_340, axiom, ((lhs_atom134|~$true)), file('<stdin>', to_be_clausified_133)).+% 0.08/0.36 fof(c_0_341, axiom, ((lhs_atom133|~$true)), file('<stdin>', to_be_clausified_132)).+% 0.08/0.36 fof(c_0_342, axiom, ((lhs_atom132|~$true)), file('<stdin>', to_be_clausified_131)).+% 0.08/0.36 fof(c_0_343, axiom, ((lhs_atom131|~$true)), file('<stdin>', to_be_clausified_130)).+% 0.08/0.36 fof(c_0_344, axiom, ((lhs_atom130|~$true)), file('<stdin>', to_be_clausified_129)).+% 0.08/0.36 fof(c_0_345, axiom, ((lhs_atom129|~$true)), file('<stdin>', to_be_clausified_128)).+% 0.08/0.36 fof(c_0_346, axiom, ((lhs_atom128|~$true)), file('<stdin>', to_be_clausified_127)).+% 0.08/0.36 fof(c_0_347, axiom, ((lhs_atom127|~$true)), file('<stdin>', to_be_clausified_126)).+% 0.08/0.36 fof(c_0_348, axiom, ((lhs_atom126|~$true)), file('<stdin>', to_be_clausified_125)).+% 0.08/0.36 fof(c_0_349, axiom, ((lhs_atom125|~$true)), file('<stdin>', to_be_clausified_124)).+% 0.08/0.36 fof(c_0_350, axiom, ((lhs_atom124|~$true)), file('<stdin>', to_be_clausified_123)).+% 0.08/0.36 fof(c_0_351, axiom, ((lhs_atom123|~$true)), file('<stdin>', to_be_clausified_122)).+% 0.08/0.36 fof(c_0_352, axiom, ((lhs_atom122|~$true)), file('<stdin>', to_be_clausified_121)).+% 0.08/0.36 fof(c_0_353, axiom, ((lhs_atom121|~$true)), file('<stdin>', to_be_clausified_120)).+% 0.08/0.36 fof(c_0_354, axiom, ((lhs_atom120|~$true)), file('<stdin>', to_be_clausified_119)).+% 0.08/0.36 fof(c_0_355, axiom, ((lhs_atom119|~$true)), file('<stdin>', to_be_clausified_118)).+% 0.08/0.36 fof(c_0_356, axiom, ((lhs_atom118|~$true)), file('<stdin>', to_be_clausified_117)).+% 0.08/0.36 fof(c_0_357, axiom, ((lhs_atom117|~$true)), file('<stdin>', to_be_clausified_116)).+% 0.08/0.36 fof(c_0_358, axiom, ((lhs_atom116|~$true)), file('<stdin>', to_be_clausified_115)).+% 0.08/0.36 fof(c_0_359, axiom, ((lhs_atom115|~$true)), file('<stdin>', to_be_clausified_114)).+% 0.08/0.36 fof(c_0_360, axiom, ((lhs_atom114|~$true)), file('<stdin>', to_be_clausified_113)).+% 0.08/0.36 fof(c_0_361, axiom, ((lhs_atom113|~$true)), file('<stdin>', to_be_clausified_112)).+% 0.08/0.36 fof(c_0_362, axiom, ((lhs_atom112|~$true)), file('<stdin>', to_be_clausified_111)).+% 0.08/0.36 fof(c_0_363, axiom, ((lhs_atom111|~$true)), file('<stdin>', to_be_clausified_110)).+% 0.08/0.36 fof(c_0_364, axiom, ((lhs_atom110|~$true)), file('<stdin>', to_be_clausified_109)).+% 0.08/0.36 fof(c_0_365, axiom, ((lhs_atom109|~$true)), file('<stdin>', to_be_clausified_108)).+% 0.08/0.36 fof(c_0_366, axiom, ((lhs_atom108|~$true)), file('<stdin>', to_be_clausified_107)).+% 0.08/0.36 fof(c_0_367, axiom, ((lhs_atom107|~$true)), file('<stdin>', to_be_clausified_106)).+% 0.08/0.36 fof(c_0_368, axiom, ((lhs_atom106|~$true)), file('<stdin>', to_be_clausified_105)).+% 0.08/0.36 fof(c_0_369, axiom, ((lhs_atom105|~$true)), file('<stdin>', to_be_clausified_104)).+% 0.08/0.36 fof(c_0_370, axiom, ((lhs_atom104|~$true)), file('<stdin>', to_be_clausified_103)).+% 0.08/0.36 fof(c_0_371, axiom, ((lhs_atom103|~$true)), file('<stdin>', to_be_clausified_102)).+% 0.08/0.36 fof(c_0_372, axiom, ((lhs_atom102|~$true)), file('<stdin>', to_be_clausified_101)).+% 0.08/0.36 fof(c_0_373, axiom, ((lhs_atom101|~$true)), file('<stdin>', to_be_clausified_100)).+% 0.08/0.36 fof(c_0_374, axiom, ((lhs_atom100|~$true)), file('<stdin>', to_be_clausified_99)).+% 0.08/0.36 fof(c_0_375, axiom, ((lhs_atom99|~$true)), file('<stdin>', to_be_clausified_98)).+% 0.08/0.36 fof(c_0_376, axiom, ((lhs_atom98|~$true)), file('<stdin>', to_be_clausified_97)).+% 0.08/0.36 fof(c_0_377, axiom, ((lhs_atom97|~$true)), file('<stdin>', to_be_clausified_96)).+% 0.08/0.36 fof(c_0_378, axiom, ((lhs_atom96|~$true)), file('<stdin>', to_be_clausified_95)).+% 0.08/0.36 fof(c_0_379, axiom, ((lhs_atom95|~$true)), file('<stdin>', to_be_clausified_94)).+% 0.08/0.36 fof(c_0_380, axiom, ((lhs_atom94|~$true)), file('<stdin>', to_be_clausified_93)).+% 0.08/0.36 fof(c_0_381, axiom, ((lhs_atom93|~$true)), file('<stdin>', to_be_clausified_92)).+% 0.08/0.36 fof(c_0_382, axiom, ((lhs_atom92|~$true)), file('<stdin>', to_be_clausified_91)).+% 0.08/0.36 fof(c_0_383, axiom, ((lhs_atom91|~$true)), file('<stdin>', to_be_clausified_90)).+% 0.08/0.36 fof(c_0_384, axiom, ((lhs_atom90|~$true)), file('<stdin>', to_be_clausified_89)).+% 0.08/0.36 fof(c_0_385, axiom, ((lhs_atom89|~$true)), file('<stdin>', to_be_clausified_88)).+% 0.08/0.36 fof(c_0_386, axiom, ((lhs_atom88|~$true)), file('<stdin>', to_be_clausified_87)).+% 0.08/0.36 fof(c_0_387, axiom, ((lhs_atom87|~$true)), file('<stdin>', to_be_clausified_86)).+% 0.08/0.36 fof(c_0_388, axiom, ((lhs_atom86|~$true)), file('<stdin>', to_be_clausified_85)).+% 0.08/0.36 fof(c_0_389, axiom, ((lhs_atom85|~$true)), file('<stdin>', to_be_clausified_84)).+% 0.08/0.36 fof(c_0_390, axiom, ((lhs_atom84|~$true)), file('<stdin>', to_be_clausified_83)).+% 0.08/0.36 fof(c_0_391, axiom, ((lhs_atom83|~$true)), file('<stdin>', to_be_clausified_82)).+% 0.08/0.36 fof(c_0_392, axiom, ((lhs_atom82|~$true)), file('<stdin>', to_be_clausified_81)).+% 0.08/0.36 fof(c_0_393, axiom, ((lhs_atom81|~$true)), file('<stdin>', to_be_clausified_80)).+% 0.08/0.36 fof(c_0_394, axiom, ((lhs_atom80|~$true)), file('<stdin>', to_be_clausified_79)).+% 0.08/0.36 fof(c_0_395, axiom, ((lhs_atom79|~$true)), file('<stdin>', to_be_clausified_78)).+% 0.08/0.36 fof(c_0_396, axiom, ((lhs_atom78|~$true)), file('<stdin>', to_be_clausified_77)).+% 0.08/0.36 fof(c_0_397, axiom, ((lhs_atom77|~$true)), file('<stdin>', to_be_clausified_76)).+% 0.08/0.36 fof(c_0_398, axiom, ((lhs_atom76|~$true)), file('<stdin>', to_be_clausified_75)).+% 0.08/0.36 fof(c_0_399, axiom, ((lhs_atom75|~$true)), file('<stdin>', to_be_clausified_74)).+% 0.08/0.36 fof(c_0_400, axiom, ((lhs_atom74|~$true)), file('<stdin>', to_be_clausified_73)).+% 0.08/0.36 fof(c_0_401, axiom, ((lhs_atom73|~$true)), file('<stdin>', to_be_clausified_72)).+% 0.08/0.36 fof(c_0_402, axiom, ((lhs_atom72|~$true)), file('<stdin>', to_be_clausified_71)).+% 0.08/0.36 fof(c_0_403, axiom, ((lhs_atom71|~$true)), file('<stdin>', to_be_clausified_70)).+% 0.08/0.36 fof(c_0_404, axiom, ((lhs_atom70|~$true)), file('<stdin>', to_be_clausified_69)).+% 0.08/0.36 fof(c_0_405, axiom, ((lhs_atom69|~$true)), file('<stdin>', to_be_clausified_68)).+% 0.08/0.36 fof(c_0_406, axiom, ((lhs_atom68|~$true)), file('<stdin>', to_be_clausified_67)).+% 0.08/0.36 fof(c_0_407, axiom, ((lhs_atom67|~$true)), file('<stdin>', to_be_clausified_66)).+% 0.08/0.36 fof(c_0_408, axiom, ((lhs_atom66|~$true)), file('<stdin>', to_be_clausified_65)).+% 0.08/0.36 fof(c_0_409, axiom, ((lhs_atom65|~$true)), file('<stdin>', to_be_clausified_64)).+% 0.08/0.36 fof(c_0_410, axiom, ((lhs_atom64|~$true)), file('<stdin>', to_be_clausified_63)).+% 0.08/0.36 fof(c_0_411, axiom, ((lhs_atom63|~$true)), file('<stdin>', to_be_clausified_62)).+% 0.08/0.36 fof(c_0_412, axiom, ((lhs_atom62|~$true)), file('<stdin>', to_be_clausified_61)).+% 0.08/0.36 fof(c_0_413, axiom, ((lhs_atom61|~$true)), file('<stdin>', to_be_clausified_60)).+% 0.08/0.36 fof(c_0_414, axiom, ((lhs_atom60|~$true)), file('<stdin>', to_be_clausified_59)).+% 0.08/0.36 fof(c_0_415, axiom, ((lhs_atom59|~$true)), file('<stdin>', to_be_clausified_58)).+% 0.08/0.36 fof(c_0_416, axiom, ((lhs_atom58|~$true)), file('<stdin>', to_be_clausified_57)).+% 0.08/0.36 fof(c_0_417, axiom, ((lhs_atom57|~$true)), file('<stdin>', to_be_clausified_56)).+% 0.08/0.36 fof(c_0_418, axiom, ((lhs_atom56|~$true)), file('<stdin>', to_be_clausified_55)).+% 0.08/0.36 fof(c_0_419, axiom, ((lhs_atom55|~$true)), file('<stdin>', to_be_clausified_54)).+% 0.08/0.36 fof(c_0_420, axiom, ((lhs_atom54|~$true)), file('<stdin>', to_be_clausified_53)).+% 0.08/0.36 fof(c_0_421, axiom, ((lhs_atom53|~$true)), file('<stdin>', to_be_clausified_52)).+% 0.08/0.36 fof(c_0_422, axiom, ((lhs_atom52|~$true)), file('<stdin>', to_be_clausified_51)).+% 0.08/0.36 fof(c_0_423, axiom, ((lhs_atom51|~$true)), file('<stdin>', to_be_clausified_50)).+% 0.08/0.36 fof(c_0_424, axiom, ((lhs_atom50|~$true)), file('<stdin>', to_be_clausified_49)).+% 0.08/0.36 fof(c_0_425, axiom, ((lhs_atom49|~$true)), file('<stdin>', to_be_clausified_48)).+% 0.08/0.36 fof(c_0_426, axiom, ((lhs_atom48|~$true)), file('<stdin>', to_be_clausified_47)).+% 0.08/0.36 fof(c_0_427, axiom, ((lhs_atom47|~$true)), file('<stdin>', to_be_clausified_46)).+% 0.08/0.36 fof(c_0_428, axiom, ((lhs_atom46|~$true)), file('<stdin>', to_be_clausified_45)).+% 0.08/0.36 fof(c_0_429, axiom, ((lhs_atom45|~$true)), file('<stdin>', to_be_clausified_44)).+% 0.08/0.36 fof(c_0_430, axiom, ((lhs_atom44|~$true)), file('<stdin>', to_be_clausified_43)).+% 0.08/0.36 fof(c_0_431, axiom, ((lhs_atom43|~$true)), file('<stdin>', to_be_clausified_42)).+% 0.08/0.36 fof(c_0_432, axiom, ((lhs_atom42|~$true)), file('<stdin>', to_be_clausified_41)).+% 0.08/0.36 fof(c_0_433, axiom, ((lhs_atom41|~$true)), file('<stdin>', to_be_clausified_40)).+% 0.08/0.36 fof(c_0_434, axiom, ((lhs_atom40|~$true)), file('<stdin>', to_be_clausified_39)).+% 0.08/0.36 fof(c_0_435, axiom, ((lhs_atom39|~$true)), file('<stdin>', to_be_clausified_38)).+% 0.08/0.36 fof(c_0_436, axiom, ((lhs_atom38|~$true)), file('<stdin>', to_be_clausified_37)).+% 0.08/0.36 fof(c_0_437, axiom, ((lhs_atom37|~$true)), file('<stdin>', to_be_clausified_36)).+% 0.08/0.36 fof(c_0_438, axiom, ((lhs_atom36|~$true)), file('<stdin>', to_be_clausified_35)).+% 0.08/0.36 fof(c_0_439, axiom, ((lhs_atom35|~$true)), file('<stdin>', to_be_clausified_34)).+% 0.08/0.36 fof(c_0_440, axiom, ((lhs_atom34|~$true)), file('<stdin>', to_be_clausified_33)).+% 0.08/0.36 fof(c_0_441, axiom, ((lhs_atom33|~$true)), file('<stdin>', to_be_clausified_32)).+% 0.08/0.36 fof(c_0_442, axiom, ((lhs_atom32|~$true)), file('<stdin>', to_be_clausified_31)).+% 0.08/0.36 fof(c_0_443, axiom, ((lhs_atom31|~$true)), file('<stdin>', to_be_clausified_30)).+% 0.08/0.36 fof(c_0_444, axiom, ((lhs_atom30|~$true)), file('<stdin>', to_be_clausified_29)).+% 0.08/0.36 fof(c_0_445, axiom, ((lhs_atom29|~$true)), file('<stdin>', to_be_clausified_28)).+% 0.08/0.36 fof(c_0_446, axiom, ((lhs_atom28|~$true)), file('<stdin>', to_be_clausified_27)).+% 0.08/0.36 fof(c_0_447, axiom, ((lhs_atom27|~$true)), file('<stdin>', to_be_clausified_26)).+% 0.08/0.36 fof(c_0_448, axiom, ((lhs_atom26|~$true)), file('<stdin>', to_be_clausified_25)).+% 0.08/0.36 fof(c_0_449, axiom, ((lhs_atom25|~$true)), file('<stdin>', to_be_clausified_24)).+% 0.08/0.36 fof(c_0_450, axiom, ((lhs_atom24|~$true)), file('<stdin>', to_be_clausified_23)).+% 0.08/0.36 fof(c_0_451, axiom, ((lhs_atom23|~$true)), file('<stdin>', to_be_clausified_22)).+% 0.08/0.36 fof(c_0_452, axiom, ((lhs_atom22|~$true)), file('<stdin>', to_be_clausified_21)).+% 0.08/0.36 fof(c_0_453, axiom, ((lhs_atom21|~$true)), file('<stdin>', to_be_clausified_20)).+% 0.08/0.36 fof(c_0_454, axiom, ((lhs_atom20|~$true)), file('<stdin>', to_be_clausified_19)).+% 0.08/0.36 fof(c_0_455, axiom, ((lhs_atom19|~$true)), file('<stdin>', to_be_clausified_18)).+% 0.08/0.36 fof(c_0_456, axiom, ((lhs_atom18|~$true)), file('<stdin>', to_be_clausified_17)).+% 0.08/0.36 fof(c_0_457, axiom, ((lhs_atom17|~$true)), file('<stdin>', to_be_clausified_16)).+% 0.08/0.36 fof(c_0_458, axiom, ((lhs_atom16|~$true)), file('<stdin>', to_be_clausified_15)).+% 0.08/0.36 fof(c_0_459, axiom, ((lhs_atom15|~$true)), file('<stdin>', to_be_clausified_14)).+% 0.08/0.36 fof(c_0_460, axiom, ((lhs_atom14|~$true)), file('<stdin>', to_be_clausified_13)).+% 0.08/0.36 fof(c_0_461, axiom, ((lhs_atom13|~$true)), file('<stdin>', to_be_clausified_12)).+% 0.08/0.36 fof(c_0_462, axiom, ((lhs_atom12|~$true)), file('<stdin>', to_be_clausified_11)).+% 0.08/0.36 fof(c_0_463, axiom, ((lhs_atom11|~$true)), file('<stdin>', to_be_clausified_10)).+% 0.08/0.36 fof(c_0_464, axiom, ((lhs_atom10|~$true)), file('<stdin>', to_be_clausified_9)).+% 0.08/0.36 fof(c_0_465, axiom, ((lhs_atom9|~$true)), file('<stdin>', to_be_clausified_8)).+% 0.08/0.36 fof(c_0_466, axiom, ((lhs_atom8|~$true)), file('<stdin>', to_be_clausified_7)).+% 0.08/0.36 fof(c_0_467, axiom, ((lhs_atom7|~$true)), file('<stdin>', to_be_clausified_6)).+% 0.08/0.36 fof(c_0_468, axiom, ((lhs_atom6|~$true)), file('<stdin>', to_be_clausified_5)).+% 0.08/0.36 fof(c_0_469, axiom, ((lhs_atom5|~$true)), file('<stdin>', to_be_clausified_4)).+% 0.08/0.36 fof(c_0_470, axiom, ((lhs_atom4|~$true)), file('<stdin>', to_be_clausified_3)).+% 0.08/0.36 fof(c_0_471, axiom, ((lhs_atom3|~$true)), file('<stdin>', to_be_clausified_2)).+% 0.08/0.36 fof(c_0_472, axiom, ((lhs_atom2|~$true)), file('<stdin>', to_be_clausified_1)).+% 0.08/0.36 fof(c_0_473, axiom, ((lhs_atom1|~$true)), file('<stdin>', to_be_clausified_0)).+% 0.08/0.36 fof(c_0_474, axiom, ((lhs_atom259|inv(e0)=e0)), c_0_0).+% 0.08/0.36 fof(c_0_475, axiom, ((lhs_atom258|inv(e1)=e0)), c_0_1).+% 0.08/0.36 fof(c_0_476, axiom, ((lhs_atom257|inv(e2)=e0)), c_0_2).+% 0.08/0.36 fof(c_0_477, axiom, ((lhs_atom256|inv(e3)=e0)), c_0_3).+% 0.08/0.36 fof(c_0_478, axiom, ((lhs_atom255|inv(e4)=e0)), c_0_4).+% 0.08/0.36 fof(c_0_479, axiom, ((lhs_atom254|inv(e5)=e0)), c_0_5).+% 0.08/0.36 fof(c_0_480, axiom, ((lhs_atom253|inv(e0)=e1)), c_0_6).+% 0.08/0.36 fof(c_0_481, axiom, ((lhs_atom252|inv(e1)=e1)), c_0_7).+% 0.08/0.36 fof(c_0_482, axiom, ((lhs_atom251|inv(e2)=e1)), c_0_8).+% 0.08/0.36 fof(c_0_483, axiom, ((lhs_atom250|inv(e3)=e1)), c_0_9).+% 0.08/0.36 fof(c_0_484, axiom, ((lhs_atom249|inv(e4)=e1)), c_0_10).+% 0.08/0.36 fof(c_0_485, axiom, ((lhs_atom248|inv(e5)=e1)), c_0_11).+% 0.08/0.36 fof(c_0_486, axiom, ((lhs_atom247|inv(e0)=e2)), c_0_12).+% 0.08/0.36 fof(c_0_487, axiom, ((lhs_atom246|inv(e1)=e2)), c_0_13).+% 0.08/0.36 fof(c_0_488, axiom, ((lhs_atom245|inv(e2)=e2)), c_0_14).+% 0.08/0.36 fof(c_0_489, axiom, ((lhs_atom244|inv(e3)=e2)), c_0_15).+% 0.08/0.36 fof(c_0_490, axiom, ((lhs_atom243|inv(e4)=e2)), c_0_16).+% 0.08/0.36 fof(c_0_491, axiom, ((lhs_atom242|inv(e5)=e2)), c_0_17).+% 0.08/0.36 fof(c_0_492, axiom, ((lhs_atom241|inv(e0)=e3)), c_0_18).+% 0.08/0.36 fof(c_0_493, axiom, ((lhs_atom240|inv(e1)=e3)), c_0_19).+% 0.08/0.36 fof(c_0_494, axiom, ((lhs_atom239|inv(e2)=e3)), c_0_20).+% 0.08/0.36 fof(c_0_495, axiom, ((lhs_atom238|inv(e3)=e3)), c_0_21).+% 0.08/0.36 fof(c_0_496, axiom, ((lhs_atom237|inv(e4)=e3)), c_0_22).+% 0.08/0.36 fof(c_0_497, axiom, ((lhs_atom236|inv(e5)=e3)), c_0_23).+% 0.08/0.36 fof(c_0_498, axiom, ((lhs_atom235|inv(e0)=e4)), c_0_24).+% 0.08/0.36 fof(c_0_499, axiom, ((lhs_atom234|inv(e1)=e4)), c_0_25).+% 0.08/0.36 fof(c_0_500, axiom, ((lhs_atom233|inv(e2)=e4)), c_0_26).+% 0.08/0.36 fof(c_0_501, axiom, ((lhs_atom232|inv(e3)=e4)), c_0_27).+% 0.08/0.36 fof(c_0_502, axiom, ((lhs_atom231|inv(e4)=e4)), c_0_28).+% 0.08/0.36 fof(c_0_503, axiom, ((lhs_atom230|inv(e5)=e4)), c_0_29).+% 0.08/0.36 fof(c_0_504, axiom, ((lhs_atom229|inv(e0)=e5)), c_0_30).+% 0.08/0.36 fof(c_0_505, axiom, ((lhs_atom228|inv(e1)=e5)), c_0_31).+% 0.08/0.36 fof(c_0_506, axiom, ((lhs_atom227|inv(e2)=e5)), c_0_32).+% 0.08/0.36 fof(c_0_507, axiom, ((lhs_atom226|inv(e3)=e5)), c_0_33).+% 0.08/0.36 fof(c_0_508, axiom, ((lhs_atom225|inv(e4)=e5)), c_0_34).+% 0.08/0.36 fof(c_0_509, axiom, ((lhs_atom224|inv(e5)=e5)), c_0_35).+% 0.08/0.36 fof(c_0_510, plain, (lhs_atom474), inference(fof_simplification,[status(thm)],[c_0_36])).+% 0.08/0.36 fof(c_0_511, plain, (lhs_atom473), inference(fof_simplification,[status(thm)],[c_0_37])).+% 0.08/0.36 fof(c_0_512, plain, (lhs_atom472), inference(fof_simplification,[status(thm)],[c_0_38])).+% 0.08/0.36 fof(c_0_513, plain, (lhs_atom471), inference(fof_simplification,[status(thm)],[c_0_39])).+% 0.08/0.36 fof(c_0_514, plain, (lhs_atom470), inference(fof_simplification,[status(thm)],[c_0_40])).+% 0.08/0.36 fof(c_0_515, plain, (lhs_atom469), inference(fof_simplification,[status(thm)],[c_0_41])).+% 0.08/0.36 fof(c_0_516, plain, (lhs_atom468), inference(fof_simplification,[status(thm)],[c_0_42])).+% 0.08/0.36 fof(c_0_517, plain, (lhs_atom467), inference(fof_simplification,[status(thm)],[c_0_43])).+% 0.08/0.36 fof(c_0_518, plain, (lhs_atom466), inference(fof_simplification,[status(thm)],[c_0_44])).+% 0.08/0.36 fof(c_0_519, plain, (lhs_atom465), inference(fof_simplification,[status(thm)],[c_0_45])).+% 0.08/0.36 fof(c_0_520, plain, (lhs_atom464), inference(fof_simplification,[status(thm)],[c_0_46])).+% 0.08/0.36 fof(c_0_521, plain, (lhs_atom463), inference(fof_simplification,[status(thm)],[c_0_47])).+% 0.08/0.36 fof(c_0_522, plain, (lhs_atom462), inference(fof_simplification,[status(thm)],[c_0_48])).+% 0.08/0.36 fof(c_0_523, plain, (lhs_atom461), inference(fof_simplification,[status(thm)],[c_0_49])).+% 0.08/0.36 fof(c_0_524, plain, (lhs_atom460), inference(fof_simplification,[status(thm)],[c_0_50])).+% 0.08/0.36 fof(c_0_525, plain, (lhs_atom459), inference(fof_simplification,[status(thm)],[c_0_51])).+% 0.08/0.36 fof(c_0_526, plain, (lhs_atom458), inference(fof_simplification,[status(thm)],[c_0_52])).+% 0.08/0.36 fof(c_0_527, plain, (lhs_atom457), inference(fof_simplification,[status(thm)],[c_0_53])).+% 0.08/0.36 fof(c_0_528, plain, (lhs_atom456), inference(fof_simplification,[status(thm)],[c_0_54])).+% 0.08/0.36 fof(c_0_529, plain, (lhs_atom455), inference(fof_simplification,[status(thm)],[c_0_55])).+% 0.08/0.36 fof(c_0_530, plain, (lhs_atom454), inference(fof_simplification,[status(thm)],[c_0_56])).+% 0.08/0.36 fof(c_0_531, plain, (lhs_atom453), inference(fof_simplification,[status(thm)],[c_0_57])).+% 0.08/0.36 fof(c_0_532, plain, (lhs_atom452), inference(fof_simplification,[status(thm)],[c_0_58])).+% 0.08/0.36 fof(c_0_533, plain, (lhs_atom451), inference(fof_simplification,[status(thm)],[c_0_59])).+% 0.08/0.36 fof(c_0_534, plain, (lhs_atom450), inference(fof_simplification,[status(thm)],[c_0_60])).+% 0.08/0.36 fof(c_0_535, plain, (lhs_atom449), inference(fof_simplification,[status(thm)],[c_0_61])).+% 0.08/0.36 fof(c_0_536, plain, (lhs_atom448), inference(fof_simplification,[status(thm)],[c_0_62])).+% 0.08/0.36 fof(c_0_537, plain, (lhs_atom447), inference(fof_simplification,[status(thm)],[c_0_63])).+% 0.08/0.36 fof(c_0_538, plain, (lhs_atom446), inference(fof_simplification,[status(thm)],[c_0_64])).+% 0.08/0.36 fof(c_0_539, plain, (lhs_atom445), inference(fof_simplification,[status(thm)],[c_0_65])).+% 0.08/0.36 fof(c_0_540, plain, (lhs_atom444), inference(fof_simplification,[status(thm)],[c_0_66])).+% 0.08/0.36 fof(c_0_541, plain, (lhs_atom443), inference(fof_simplification,[status(thm)],[c_0_67])).+% 0.08/0.36 fof(c_0_542, plain, (lhs_atom442), inference(fof_simplification,[status(thm)],[c_0_68])).+% 0.08/0.36 fof(c_0_543, plain, (lhs_atom441), inference(fof_simplification,[status(thm)],[c_0_69])).+% 0.08/0.36 fof(c_0_544, plain, (lhs_atom440), inference(fof_simplification,[status(thm)],[c_0_70])).+% 0.08/0.36 fof(c_0_545, plain, (lhs_atom439), inference(fof_simplification,[status(thm)],[c_0_71])).+% 0.08/0.36 fof(c_0_546, plain, (lhs_atom438), inference(fof_simplification,[status(thm)],[c_0_72])).+% 0.08/0.36 fof(c_0_547, plain, (lhs_atom437), inference(fof_simplification,[status(thm)],[c_0_73])).+% 0.08/0.36 fof(c_0_548, plain, (lhs_atom436), inference(fof_simplification,[status(thm)],[c_0_74])).+% 0.08/0.36 fof(c_0_549, plain, (lhs_atom435), inference(fof_simplification,[status(thm)],[c_0_75])).+% 0.08/0.36 fof(c_0_550, plain, (lhs_atom434), inference(fof_simplification,[status(thm)],[c_0_76])).+% 0.08/0.36 fof(c_0_551, plain, (lhs_atom433), inference(fof_simplification,[status(thm)],[c_0_77])).+% 0.08/0.36 fof(c_0_552, plain, (lhs_atom432), inference(fof_simplification,[status(thm)],[c_0_78])).+% 0.08/0.36 fof(c_0_553, plain, (lhs_atom431), inference(fof_simplification,[status(thm)],[c_0_79])).+% 0.08/0.36 fof(c_0_554, plain, (lhs_atom430), inference(fof_simplification,[status(thm)],[c_0_80])).+% 0.08/0.36 fof(c_0_555, plain, (lhs_atom429), inference(fof_simplification,[status(thm)],[c_0_81])).+% 0.08/0.36 fof(c_0_556, plain, (lhs_atom428), inference(fof_simplification,[status(thm)],[c_0_82])).+% 0.08/0.36 fof(c_0_557, plain, (lhs_atom427), inference(fof_simplification,[status(thm)],[c_0_83])).+% 0.08/0.36 fof(c_0_558, plain, (lhs_atom426), inference(fof_simplification,[status(thm)],[c_0_84])).+% 0.08/0.36 fof(c_0_559, plain, (lhs_atom425), inference(fof_simplification,[status(thm)],[c_0_85])).+% 0.08/0.36 fof(c_0_560, plain, (lhs_atom424), inference(fof_simplification,[status(thm)],[c_0_86])).+% 0.08/0.36 fof(c_0_561, plain, (lhs_atom423), inference(fof_simplification,[status(thm)],[c_0_87])).+% 0.08/0.36 fof(c_0_562, plain, (lhs_atom422), inference(fof_simplification,[status(thm)],[c_0_88])).+% 0.08/0.36 fof(c_0_563, plain, (lhs_atom421), inference(fof_simplification,[status(thm)],[c_0_89])).+% 0.08/0.36 fof(c_0_564, plain, (lhs_atom420), inference(fof_simplification,[status(thm)],[c_0_90])).+% 0.08/0.36 fof(c_0_565, plain, (lhs_atom419), inference(fof_simplification,[status(thm)],[c_0_91])).+% 0.08/0.36 fof(c_0_566, plain, (lhs_atom418), inference(fof_simplification,[status(thm)],[c_0_92])).+% 0.08/0.36 fof(c_0_567, plain, (lhs_atom417), inference(fof_simplification,[status(thm)],[c_0_93])).+% 0.08/0.36 fof(c_0_568, plain, (lhs_atom416), inference(fof_simplification,[status(thm)],[c_0_94])).+% 0.08/0.36 fof(c_0_569, plain, (lhs_atom415), inference(fof_simplification,[status(thm)],[c_0_95])).+% 0.08/0.36 fof(c_0_570, plain, (lhs_atom414), inference(fof_simplification,[status(thm)],[c_0_96])).+% 0.08/0.36 fof(c_0_571, plain, (lhs_atom413), inference(fof_simplification,[status(thm)],[c_0_97])).+% 0.08/0.36 fof(c_0_572, plain, (lhs_atom412), inference(fof_simplification,[status(thm)],[c_0_98])).+% 0.08/0.36 fof(c_0_573, plain, (lhs_atom411), inference(fof_simplification,[status(thm)],[c_0_99])).+% 0.08/0.36 fof(c_0_574, plain, (lhs_atom410), inference(fof_simplification,[status(thm)],[c_0_100])).+% 0.08/0.36 fof(c_0_575, plain, (lhs_atom409), inference(fof_simplification,[status(thm)],[c_0_101])).+% 0.08/0.36 fof(c_0_576, plain, (lhs_atom408), inference(fof_simplification,[status(thm)],[c_0_102])).+% 0.08/0.36 fof(c_0_577, plain, (lhs_atom407), inference(fof_simplification,[status(thm)],[c_0_103])).+% 0.08/0.36 fof(c_0_578, plain, (lhs_atom406), inference(fof_simplification,[status(thm)],[c_0_104])).+% 0.08/0.36 fof(c_0_579, plain, (lhs_atom405), inference(fof_simplification,[status(thm)],[c_0_105])).+% 0.08/0.36 fof(c_0_580, plain, (lhs_atom404), inference(fof_simplification,[status(thm)],[c_0_106])).+% 0.08/0.36 fof(c_0_581, plain, (lhs_atom403), inference(fof_simplification,[status(thm)],[c_0_107])).+% 0.08/0.36 fof(c_0_582, plain, (lhs_atom402), inference(fof_simplification,[status(thm)],[c_0_108])).+% 0.08/0.36 fof(c_0_583, plain, (lhs_atom401), inference(fof_simplification,[status(thm)],[c_0_109])).+% 0.08/0.36 fof(c_0_584, plain, (lhs_atom400), inference(fof_simplification,[status(thm)],[c_0_110])).+% 0.08/0.36 fof(c_0_585, plain, (lhs_atom399), inference(fof_simplification,[status(thm)],[c_0_111])).+% 0.08/0.36 fof(c_0_586, plain, (lhs_atom398), inference(fof_simplification,[status(thm)],[c_0_112])).+% 0.08/0.36 fof(c_0_587, plain, (lhs_atom397), inference(fof_simplification,[status(thm)],[c_0_113])).+% 0.08/0.36 fof(c_0_588, plain, (lhs_atom396), inference(fof_simplification,[status(thm)],[c_0_114])).+% 0.08/0.36 fof(c_0_589, plain, (lhs_atom395), inference(fof_simplification,[status(thm)],[c_0_115])).+% 0.08/0.36 fof(c_0_590, plain, (lhs_atom394), inference(fof_simplification,[status(thm)],[c_0_116])).+% 0.08/0.36 fof(c_0_591, plain, (lhs_atom393), inference(fof_simplification,[status(thm)],[c_0_117])).+% 0.08/0.36 fof(c_0_592, plain, (lhs_atom392), inference(fof_simplification,[status(thm)],[c_0_118])).+% 0.08/0.36 fof(c_0_593, plain, (lhs_atom391), inference(fof_simplification,[status(thm)],[c_0_119])).+% 0.08/0.36 fof(c_0_594, plain, (lhs_atom390), inference(fof_simplification,[status(thm)],[c_0_120])).+% 0.08/0.36 fof(c_0_595, plain, (lhs_atom389), inference(fof_simplification,[status(thm)],[c_0_121])).+% 0.08/0.36 fof(c_0_596, plain, (lhs_atom388), inference(fof_simplification,[status(thm)],[c_0_122])).+% 0.08/0.36 fof(c_0_597, plain, (lhs_atom387), inference(fof_simplification,[status(thm)],[c_0_123])).+% 0.08/0.36 fof(c_0_598, plain, (lhs_atom386), inference(fof_simplification,[status(thm)],[c_0_124])).+% 0.08/0.36 fof(c_0_599, plain, (lhs_atom385), inference(fof_simplification,[status(thm)],[c_0_125])).+% 0.08/0.36 fof(c_0_600, plain, (lhs_atom384), inference(fof_simplification,[status(thm)],[c_0_126])).+% 0.08/0.36 fof(c_0_601, plain, (lhs_atom383), inference(fof_simplification,[status(thm)],[c_0_127])).+% 0.08/0.36 fof(c_0_602, plain, (lhs_atom382), inference(fof_simplification,[status(thm)],[c_0_128])).+% 0.08/0.36 fof(c_0_603, plain, (lhs_atom381), inference(fof_simplification,[status(thm)],[c_0_129])).+% 0.08/0.36 fof(c_0_604, plain, (lhs_atom380), inference(fof_simplification,[status(thm)],[c_0_130])).+% 0.08/0.36 fof(c_0_605, plain, (lhs_atom379), inference(fof_simplification,[status(thm)],[c_0_131])).+% 0.08/0.36 fof(c_0_606, plain, (lhs_atom378), inference(fof_simplification,[status(thm)],[c_0_132])).+% 0.08/0.36 fof(c_0_607, plain, (lhs_atom377), inference(fof_simplification,[status(thm)],[c_0_133])).+% 0.08/0.36 fof(c_0_608, plain, (lhs_atom376), inference(fof_simplification,[status(thm)],[c_0_134])).+% 0.08/0.36 fof(c_0_609, plain, (lhs_atom375), inference(fof_simplification,[status(thm)],[c_0_135])).+% 0.08/0.36 fof(c_0_610, plain, (lhs_atom374), inference(fof_simplification,[status(thm)],[c_0_136])).+% 0.08/0.36 fof(c_0_611, plain, (lhs_atom373), inference(fof_simplification,[status(thm)],[c_0_137])).+% 0.08/0.36 fof(c_0_612, plain, (lhs_atom372), inference(fof_simplification,[status(thm)],[c_0_138])).+% 0.08/0.36 fof(c_0_613, plain, (lhs_atom371), inference(fof_simplification,[status(thm)],[c_0_139])).+% 0.08/0.36 fof(c_0_614, plain, (lhs_atom370), inference(fof_simplification,[status(thm)],[c_0_140])).+% 0.08/0.36 fof(c_0_615, plain, (lhs_atom369), inference(fof_simplification,[status(thm)],[c_0_141])).+% 0.08/0.36 fof(c_0_616, plain, (lhs_atom368), inference(fof_simplification,[status(thm)],[c_0_142])).+% 0.08/0.36 fof(c_0_617, plain, (lhs_atom367), inference(fof_simplification,[status(thm)],[c_0_143])).+% 0.08/0.36 fof(c_0_618, plain, (lhs_atom366), inference(fof_simplification,[status(thm)],[c_0_144])).+% 0.08/0.36 fof(c_0_619, plain, (lhs_atom365), inference(fof_simplification,[status(thm)],[c_0_145])).+% 0.08/0.36 fof(c_0_620, plain, (lhs_atom364), inference(fof_simplification,[status(thm)],[c_0_146])).+% 0.08/0.36 fof(c_0_621, plain, (lhs_atom363), inference(fof_simplification,[status(thm)],[c_0_147])).+% 0.08/0.36 fof(c_0_622, plain, (lhs_atom362), inference(fof_simplification,[status(thm)],[c_0_148])).+% 0.08/0.36 fof(c_0_623, plain, (lhs_atom361), inference(fof_simplification,[status(thm)],[c_0_149])).+% 0.08/0.36 fof(c_0_624, plain, (lhs_atom360), inference(fof_simplification,[status(thm)],[c_0_150])).+% 0.08/0.36 fof(c_0_625, plain, (lhs_atom359), inference(fof_simplification,[status(thm)],[c_0_151])).+% 0.08/0.36 fof(c_0_626, plain, (lhs_atom358), inference(fof_simplification,[status(thm)],[c_0_152])).+% 0.08/0.36 fof(c_0_627, plain, (lhs_atom357), inference(fof_simplification,[status(thm)],[c_0_153])).+% 0.08/0.36 fof(c_0_628, plain, (lhs_atom356), inference(fof_simplification,[status(thm)],[c_0_154])).+% 0.08/0.36 fof(c_0_629, plain, (lhs_atom355), inference(fof_simplification,[status(thm)],[c_0_155])).+% 0.08/0.36 fof(c_0_630, plain, (lhs_atom354), inference(fof_simplification,[status(thm)],[c_0_156])).+% 0.08/0.36 fof(c_0_631, plain, (lhs_atom353), inference(fof_simplification,[status(thm)],[c_0_157])).+% 0.08/0.36 fof(c_0_632, plain, (lhs_atom352), inference(fof_simplification,[status(thm)],[c_0_158])).+% 0.08/0.36 fof(c_0_633, plain, (lhs_atom351), inference(fof_simplification,[status(thm)],[c_0_159])).+% 0.08/0.36 fof(c_0_634, plain, (lhs_atom350), inference(fof_simplification,[status(thm)],[c_0_160])).+% 0.08/0.36 fof(c_0_635, plain, (lhs_atom349), inference(fof_simplification,[status(thm)],[c_0_161])).+% 0.08/0.36 fof(c_0_636, plain, (lhs_atom348), inference(fof_simplification,[status(thm)],[c_0_162])).+% 0.08/0.36 fof(c_0_637, plain, (lhs_atom347), inference(fof_simplification,[status(thm)],[c_0_163])).+% 0.08/0.36 fof(c_0_638, plain, (lhs_atom346), inference(fof_simplification,[status(thm)],[c_0_164])).+% 0.08/0.36 fof(c_0_639, plain, (lhs_atom345), inference(fof_simplification,[status(thm)],[c_0_165])).+% 0.08/0.36 fof(c_0_640, plain, (lhs_atom344), inference(fof_simplification,[status(thm)],[c_0_166])).+% 0.08/0.36 fof(c_0_641, plain, (lhs_atom343), inference(fof_simplification,[status(thm)],[c_0_167])).+% 0.08/0.36 fof(c_0_642, plain, (lhs_atom342), inference(fof_simplification,[status(thm)],[c_0_168])).+% 0.08/0.36 fof(c_0_643, plain, (lhs_atom341), inference(fof_simplification,[status(thm)],[c_0_169])).+% 0.08/0.36 fof(c_0_644, plain, (lhs_atom340), inference(fof_simplification,[status(thm)],[c_0_170])).+% 0.08/0.36 fof(c_0_645, plain, (lhs_atom339), inference(fof_simplification,[status(thm)],[c_0_171])).+% 0.08/0.36 fof(c_0_646, plain, (lhs_atom338), inference(fof_simplification,[status(thm)],[c_0_172])).+% 0.08/0.36 fof(c_0_647, plain, (lhs_atom337), inference(fof_simplification,[status(thm)],[c_0_173])).+% 0.08/0.36 fof(c_0_648, plain, (lhs_atom336), inference(fof_simplification,[status(thm)],[c_0_174])).+% 0.08/0.36 fof(c_0_649, plain, (lhs_atom335), inference(fof_simplification,[status(thm)],[c_0_175])).+% 0.08/0.36 fof(c_0_650, plain, (lhs_atom334), inference(fof_simplification,[status(thm)],[c_0_176])).+% 0.08/0.36 fof(c_0_651, plain, (lhs_atom333), inference(fof_simplification,[status(thm)],[c_0_177])).+% 0.08/0.36 fof(c_0_652, plain, (lhs_atom332), inference(fof_simplification,[status(thm)],[c_0_178])).+% 0.08/0.36 fof(c_0_653, plain, (lhs_atom331), inference(fof_simplification,[status(thm)],[c_0_179])).+% 0.08/0.36 fof(c_0_654, plain, (lhs_atom330), inference(fof_simplification,[status(thm)],[c_0_180])).+% 0.08/0.36 fof(c_0_655, plain, (lhs_atom329), inference(fof_simplification,[status(thm)],[c_0_181])).+% 0.08/0.36 fof(c_0_656, plain, (lhs_atom328), inference(fof_simplification,[status(thm)],[c_0_182])).+% 0.08/0.36 fof(c_0_657, plain, (lhs_atom327), inference(fof_simplification,[status(thm)],[c_0_183])).+% 0.08/0.36 fof(c_0_658, plain, (lhs_atom326), inference(fof_simplification,[status(thm)],[c_0_184])).+% 0.08/0.36 fof(c_0_659, plain, (lhs_atom325), inference(fof_simplification,[status(thm)],[c_0_185])).+% 0.08/0.36 fof(c_0_660, plain, (lhs_atom324), inference(fof_simplification,[status(thm)],[c_0_186])).+% 0.08/0.36 fof(c_0_661, plain, (lhs_atom323), inference(fof_simplification,[status(thm)],[c_0_187])).+% 0.08/0.36 fof(c_0_662, plain, (lhs_atom322), inference(fof_simplification,[status(thm)],[c_0_188])).+% 0.08/0.36 fof(c_0_663, plain, (lhs_atom321), inference(fof_simplification,[status(thm)],[c_0_189])).+% 0.08/0.36 fof(c_0_664, plain, (lhs_atom320), inference(fof_simplification,[status(thm)],[c_0_190])).+% 0.08/0.36 fof(c_0_665, plain, (lhs_atom319), inference(fof_simplification,[status(thm)],[c_0_191])).+% 0.08/0.36 fof(c_0_666, plain, (lhs_atom318), inference(fof_simplification,[status(thm)],[c_0_192])).+% 0.08/0.36 fof(c_0_667, plain, (lhs_atom317), inference(fof_simplification,[status(thm)],[c_0_193])).+% 0.08/0.36 fof(c_0_668, plain, (lhs_atom316), inference(fof_simplification,[status(thm)],[c_0_194])).+% 0.08/0.36 fof(c_0_669, plain, (lhs_atom315), inference(fof_simplification,[status(thm)],[c_0_195])).+% 0.08/0.36 fof(c_0_670, plain, (lhs_atom314), inference(fof_simplification,[status(thm)],[c_0_196])).+% 0.08/0.36 fof(c_0_671, plain, (lhs_atom313), inference(fof_simplification,[status(thm)],[c_0_197])).+% 0.08/0.36 fof(c_0_672, plain, (lhs_atom312), inference(fof_simplification,[status(thm)],[c_0_198])).+% 0.08/0.36 fof(c_0_673, plain, (lhs_atom311), inference(fof_simplification,[status(thm)],[c_0_199])).+% 0.08/0.36 fof(c_0_674, plain, (lhs_atom310), inference(fof_simplification,[status(thm)],[c_0_200])).+% 0.08/0.36 fof(c_0_675, plain, (lhs_atom309), inference(fof_simplification,[status(thm)],[c_0_201])).+% 0.08/0.36 fof(c_0_676, plain, (lhs_atom308), inference(fof_simplification,[status(thm)],[c_0_202])).+% 0.08/0.36 fof(c_0_677, plain, (lhs_atom307), inference(fof_simplification,[status(thm)],[c_0_203])).+% 0.08/0.36 fof(c_0_678, plain, (lhs_atom306), inference(fof_simplification,[status(thm)],[c_0_204])).+% 0.08/0.36 fof(c_0_679, plain, (lhs_atom305), inference(fof_simplification,[status(thm)],[c_0_205])).+% 0.08/0.36 fof(c_0_680, plain, (lhs_atom304), inference(fof_simplification,[status(thm)],[c_0_206])).+% 0.08/0.36 fof(c_0_681, plain, (lhs_atom303), inference(fof_simplification,[status(thm)],[c_0_207])).+% 0.08/0.36 fof(c_0_682, plain, (lhs_atom302), inference(fof_simplification,[status(thm)],[c_0_208])).+% 0.08/0.36 fof(c_0_683, plain, (lhs_atom301), inference(fof_simplification,[status(thm)],[c_0_209])).+% 0.08/0.36 fof(c_0_684, plain, (lhs_atom300), inference(fof_simplification,[status(thm)],[c_0_210])).+% 0.08/0.36 fof(c_0_685, plain, (lhs_atom299), inference(fof_simplification,[status(thm)],[c_0_211])).+% 0.08/0.36 fof(c_0_686, plain, (lhs_atom298), inference(fof_simplification,[status(thm)],[c_0_212])).+% 0.08/0.36 fof(c_0_687, plain, (lhs_atom297), inference(fof_simplification,[status(thm)],[c_0_213])).+% 0.08/0.36 fof(c_0_688, plain, (lhs_atom296), inference(fof_simplification,[status(thm)],[c_0_214])).+% 0.08/0.36 fof(c_0_689, plain, (lhs_atom295), inference(fof_simplification,[status(thm)],[c_0_215])).+% 0.08/0.36 fof(c_0_690, plain, (lhs_atom294), inference(fof_simplification,[status(thm)],[c_0_216])).+% 0.08/0.36 fof(c_0_691, plain, (lhs_atom293), inference(fof_simplification,[status(thm)],[c_0_217])).+% 0.08/0.36 fof(c_0_692, plain, (lhs_atom292), inference(fof_simplification,[status(thm)],[c_0_218])).+% 0.08/0.36 fof(c_0_693, plain, (lhs_atom291), inference(fof_simplification,[status(thm)],[c_0_219])).+% 0.08/0.36 fof(c_0_694, plain, (lhs_atom290), inference(fof_simplification,[status(thm)],[c_0_220])).+% 0.08/0.36 fof(c_0_695, plain, (lhs_atom289), inference(fof_simplification,[status(thm)],[c_0_221])).+% 0.08/0.36 fof(c_0_696, plain, (lhs_atom288), inference(fof_simplification,[status(thm)],[c_0_222])).+% 0.08/0.36 fof(c_0_697, plain, (lhs_atom287), inference(fof_simplification,[status(thm)],[c_0_223])).+% 0.08/0.36 fof(c_0_698, plain, (lhs_atom286), inference(fof_simplification,[status(thm)],[c_0_224])).+% 0.08/0.36 fof(c_0_699, plain, (lhs_atom285), inference(fof_simplification,[status(thm)],[c_0_225])).+% 0.08/0.36 fof(c_0_700, plain, (lhs_atom284), inference(fof_simplification,[status(thm)],[c_0_226])).+% 0.08/0.36 fof(c_0_701, plain, (lhs_atom283), inference(fof_simplification,[status(thm)],[c_0_227])).+% 0.08/0.36 fof(c_0_702, plain, (lhs_atom282), inference(fof_simplification,[status(thm)],[c_0_228])).+% 0.08/0.36 fof(c_0_703, plain, (lhs_atom281), inference(fof_simplification,[status(thm)],[c_0_229])).+% 0.08/0.36 fof(c_0_704, plain, (lhs_atom280), inference(fof_simplification,[status(thm)],[c_0_230])).+% 0.08/0.36 fof(c_0_705, plain, (lhs_atom279), inference(fof_simplification,[status(thm)],[c_0_231])).+% 0.08/0.36 fof(c_0_706, plain, (lhs_atom278), inference(fof_simplification,[status(thm)],[c_0_232])).+% 0.08/0.36 fof(c_0_707, plain, (lhs_atom277), inference(fof_simplification,[status(thm)],[c_0_233])).+% 0.08/0.36 fof(c_0_708, plain, (lhs_atom276), inference(fof_simplification,[status(thm)],[c_0_234])).+% 0.08/0.36 fof(c_0_709, plain, (lhs_atom275), inference(fof_simplification,[status(thm)],[c_0_235])).+% 0.08/0.36 fof(c_0_710, plain, (lhs_atom274), inference(fof_simplification,[status(thm)],[c_0_236])).+% 0.08/0.36 fof(c_0_711, plain, (lhs_atom273), inference(fof_simplification,[status(thm)],[c_0_237])).+% 0.08/0.36 fof(c_0_712, plain, (lhs_atom272), inference(fof_simplification,[status(thm)],[c_0_238])).+% 0.08/0.36 fof(c_0_713, plain, (lhs_atom271), inference(fof_simplification,[status(thm)],[c_0_239])).+% 0.08/0.36 fof(c_0_714, plain, (lhs_atom270), inference(fof_simplification,[status(thm)],[c_0_240])).+% 0.08/0.36 fof(c_0_715, plain, (lhs_atom269), inference(fof_simplification,[status(thm)],[c_0_241])).+% 0.08/0.36 fof(c_0_716, plain, (lhs_atom268), inference(fof_simplification,[status(thm)],[c_0_242])).+% 0.08/0.36 fof(c_0_717, plain, (lhs_atom267), inference(fof_simplification,[status(thm)],[c_0_243])).+% 0.08/0.36 fof(c_0_718, plain, (lhs_atom266), inference(fof_simplification,[status(thm)],[c_0_244])).+% 0.08/0.36 fof(c_0_719, plain, (lhs_atom265), inference(fof_simplification,[status(thm)],[c_0_245])).+% 0.08/0.36 fof(c_0_720, plain, (lhs_atom264), inference(fof_simplification,[status(thm)],[c_0_246])).+% 0.08/0.36 fof(c_0_721, plain, (lhs_atom263), inference(fof_simplification,[status(thm)],[c_0_247])).+% 0.08/0.36 fof(c_0_722, plain, (lhs_atom262), inference(fof_simplification,[status(thm)],[c_0_248])).+% 0.08/0.36 fof(c_0_723, plain, (lhs_atom261), inference(fof_simplification,[status(thm)],[c_0_249])).+% 0.08/0.36 fof(c_0_724, plain, (lhs_atom260), inference(fof_simplification,[status(thm)],[c_0_250])).+% 0.08/0.36 fof(c_0_725, plain, (lhs_atom223), inference(fof_simplification,[status(thm)],[c_0_251])).+% 0.08/0.36 fof(c_0_726, plain, (lhs_atom222), inference(fof_simplification,[status(thm)],[c_0_252])).+% 0.08/0.36 fof(c_0_727, plain, (lhs_atom221), inference(fof_simplification,[status(thm)],[c_0_253])).+% 0.08/0.36 fof(c_0_728, plain, (lhs_atom220), inference(fof_simplification,[status(thm)],[c_0_254])).+% 0.08/0.36 fof(c_0_729, plain, (lhs_atom219), inference(fof_simplification,[status(thm)],[c_0_255])).+% 0.08/0.36 fof(c_0_730, plain, (lhs_atom218), inference(fof_simplification,[status(thm)],[c_0_256])).+% 0.08/0.36 fof(c_0_731, plain, (lhs_atom217), inference(fof_simplification,[status(thm)],[c_0_257])).+% 0.08/0.36 fof(c_0_732, plain, (lhs_atom216), inference(fof_simplification,[status(thm)],[c_0_258])).+% 0.08/0.36 fof(c_0_733, plain, (lhs_atom215), inference(fof_simplification,[status(thm)],[c_0_259])).+% 0.08/0.36 fof(c_0_734, plain, (lhs_atom214), inference(fof_simplification,[status(thm)],[c_0_260])).+% 0.08/0.36 fof(c_0_735, plain, (lhs_atom213), inference(fof_simplification,[status(thm)],[c_0_261])).+% 0.08/0.36 fof(c_0_736, plain, (lhs_atom212), inference(fof_simplification,[status(thm)],[c_0_262])).+% 0.08/0.36 fof(c_0_737, plain, (lhs_atom211), inference(fof_simplification,[status(thm)],[c_0_263])).+% 0.08/0.36 fof(c_0_738, plain, (lhs_atom210), inference(fof_simplification,[status(thm)],[c_0_264])).+% 0.08/0.36 fof(c_0_739, plain, (lhs_atom209), inference(fof_simplification,[status(thm)],[c_0_265])).+% 0.08/0.36 fof(c_0_740, plain, (lhs_atom208), inference(fof_simplification,[status(thm)],[c_0_266])).+% 0.08/0.36 fof(c_0_741, plain, (lhs_atom207), inference(fof_simplification,[status(thm)],[c_0_267])).+% 0.08/0.36 fof(c_0_742, plain, (lhs_atom206), inference(fof_simplification,[status(thm)],[c_0_268])).+% 0.08/0.36 fof(c_0_743, plain, (lhs_atom205), inference(fof_simplification,[status(thm)],[c_0_269])).+% 0.08/0.36 fof(c_0_744, plain, (lhs_atom204), inference(fof_simplification,[status(thm)],[c_0_270])).+% 0.08/0.36 fof(c_0_745, plain, (lhs_atom203), inference(fof_simplification,[status(thm)],[c_0_271])).+% 0.08/0.36 fof(c_0_746, plain, (lhs_atom202), inference(fof_simplification,[status(thm)],[c_0_272])).+% 0.08/0.36 fof(c_0_747, plain, (lhs_atom201), inference(fof_simplification,[status(thm)],[c_0_273])).+% 0.08/0.36 fof(c_0_748, plain, (lhs_atom200), inference(fof_simplification,[status(thm)],[c_0_274])).+% 0.08/0.36 fof(c_0_749, plain, (lhs_atom199), inference(fof_simplification,[status(thm)],[c_0_275])).+% 0.08/0.36 fof(c_0_750, plain, (lhs_atom198), inference(fof_simplification,[status(thm)],[c_0_276])).+% 0.08/0.36 fof(c_0_751, plain, (lhs_atom197), inference(fof_simplification,[status(thm)],[c_0_277])).+% 0.08/0.37 fof(c_0_752, plain, (lhs_atom196), inference(fof_simplification,[status(thm)],[c_0_278])).+% 0.08/0.37 fof(c_0_753, plain, (lhs_atom195), inference(fof_simplification,[status(thm)],[c_0_279])).+% 0.08/0.37 fof(c_0_754, plain, (lhs_atom194), inference(fof_simplification,[status(thm)],[c_0_280])).+% 0.08/0.37 fof(c_0_755, plain, (lhs_atom193), inference(fof_simplification,[status(thm)],[c_0_281])).+% 0.08/0.37 fof(c_0_756, plain, (lhs_atom192), inference(fof_simplification,[status(thm)],[c_0_282])).+% 0.08/0.37 fof(c_0_757, plain, (lhs_atom191), inference(fof_simplification,[status(thm)],[c_0_283])).+% 0.08/0.37 fof(c_0_758, plain, (lhs_atom190), inference(fof_simplification,[status(thm)],[c_0_284])).+% 0.08/0.37 fof(c_0_759, plain, (lhs_atom189), inference(fof_simplification,[status(thm)],[c_0_285])).+% 0.08/0.37 fof(c_0_760, plain, (lhs_atom188), inference(fof_simplification,[status(thm)],[c_0_286])).+% 0.08/0.37 fof(c_0_761, plain, (lhs_atom187), inference(fof_simplification,[status(thm)],[c_0_287])).+% 0.08/0.37 fof(c_0_762, plain, (lhs_atom186), inference(fof_simplification,[status(thm)],[c_0_288])).+% 0.08/0.37 fof(c_0_763, plain, (lhs_atom185), inference(fof_simplification,[status(thm)],[c_0_289])).+% 0.08/0.37 fof(c_0_764, plain, (lhs_atom184), inference(fof_simplification,[status(thm)],[c_0_290])).+% 0.08/0.37 fof(c_0_765, plain, (lhs_atom183), inference(fof_simplification,[status(thm)],[c_0_291])).+% 0.08/0.37 fof(c_0_766, plain, (lhs_atom182), inference(fof_simplification,[status(thm)],[c_0_292])).+% 0.08/0.37 fof(c_0_767, plain, (lhs_atom181), inference(fof_simplification,[status(thm)],[c_0_293])).+% 0.08/0.37 fof(c_0_768, plain, (lhs_atom180), inference(fof_simplification,[status(thm)],[c_0_294])).+% 0.08/0.37 fof(c_0_769, plain, (lhs_atom179), inference(fof_simplification,[status(thm)],[c_0_295])).+% 0.08/0.37 fof(c_0_770, plain, (lhs_atom178), inference(fof_simplification,[status(thm)],[c_0_296])).+% 0.08/0.37 fof(c_0_771, plain, (lhs_atom177), inference(fof_simplification,[status(thm)],[c_0_297])).+% 0.08/0.37 fof(c_0_772, plain, (lhs_atom176), inference(fof_simplification,[status(thm)],[c_0_298])).+% 0.08/0.37 fof(c_0_773, plain, (lhs_atom175), inference(fof_simplification,[status(thm)],[c_0_299])).+% 0.08/0.37 fof(c_0_774, plain, (lhs_atom174), inference(fof_simplification,[status(thm)],[c_0_300])).+% 0.08/0.37 fof(c_0_775, plain, (lhs_atom173), inference(fof_simplification,[status(thm)],[c_0_301])).+% 0.08/0.37 fof(c_0_776, plain, (lhs_atom172), inference(fof_simplification,[status(thm)],[c_0_302])).+% 0.08/0.37 fof(c_0_777, plain, (lhs_atom171), inference(fof_simplification,[status(thm)],[c_0_303])).+% 0.08/0.37 fof(c_0_778, plain, (lhs_atom170), inference(fof_simplification,[status(thm)],[c_0_304])).+% 0.08/0.37 fof(c_0_779, plain, (lhs_atom169), inference(fof_simplification,[status(thm)],[c_0_305])).+% 0.08/0.37 fof(c_0_780, plain, (lhs_atom168), inference(fof_simplification,[status(thm)],[c_0_306])).+% 0.08/0.37 fof(c_0_781, plain, (lhs_atom167), inference(fof_simplification,[status(thm)],[c_0_307])).+% 0.08/0.37 fof(c_0_782, plain, (lhs_atom166), inference(fof_simplification,[status(thm)],[c_0_308])).+% 0.08/0.37 fof(c_0_783, plain, (lhs_atom165), inference(fof_simplification,[status(thm)],[c_0_309])).+% 0.08/0.37 fof(c_0_784, plain, (lhs_atom164), inference(fof_simplification,[status(thm)],[c_0_310])).+% 0.08/0.37 fof(c_0_785, plain, (lhs_atom163), inference(fof_simplification,[status(thm)],[c_0_311])).+% 0.08/0.37 fof(c_0_786, plain, (lhs_atom162), inference(fof_simplification,[status(thm)],[c_0_312])).+% 0.08/0.37 fof(c_0_787, plain, (lhs_atom161), inference(fof_simplification,[status(thm)],[c_0_313])).+% 0.08/0.37 fof(c_0_788, plain, (lhs_atom160), inference(fof_simplification,[status(thm)],[c_0_314])).+% 0.08/0.37 fof(c_0_789, plain, (lhs_atom159), inference(fof_simplification,[status(thm)],[c_0_315])).+% 0.08/0.37 fof(c_0_790, plain, (lhs_atom158), inference(fof_simplification,[status(thm)],[c_0_316])).+% 0.08/0.37 fof(c_0_791, plain, (lhs_atom157), inference(fof_simplification,[status(thm)],[c_0_317])).+% 0.08/0.37 fof(c_0_792, plain, (lhs_atom156), inference(fof_simplification,[status(thm)],[c_0_318])).+% 0.08/0.37 fof(c_0_793, plain, (lhs_atom155), inference(fof_simplification,[status(thm)],[c_0_319])).+% 0.08/0.37 fof(c_0_794, plain, (lhs_atom154), inference(fof_simplification,[status(thm)],[c_0_320])).+% 0.08/0.37 fof(c_0_795, plain, (lhs_atom153), inference(fof_simplification,[status(thm)],[c_0_321])).+% 0.08/0.37 fof(c_0_796, plain, (lhs_atom152), inference(fof_simplification,[status(thm)],[c_0_322])).+% 0.08/0.37 fof(c_0_797, plain, (lhs_atom151), inference(fof_simplification,[status(thm)],[c_0_323])).+% 0.08/0.37 fof(c_0_798, plain, (lhs_atom150), inference(fof_simplification,[status(thm)],[c_0_324])).+% 0.08/0.37 fof(c_0_799, plain, (lhs_atom149), inference(fof_simplification,[status(thm)],[c_0_325])).+% 0.08/0.37 fof(c_0_800, plain, (lhs_atom148), inference(fof_simplification,[status(thm)],[c_0_326])).+% 0.08/0.37 fof(c_0_801, plain, (lhs_atom147), inference(fof_simplification,[status(thm)],[c_0_327])).+% 0.08/0.37 fof(c_0_802, plain, (lhs_atom146), inference(fof_simplification,[status(thm)],[c_0_328])).+% 0.08/0.37 fof(c_0_803, plain, (lhs_atom145), inference(fof_simplification,[status(thm)],[c_0_329])).+% 0.08/0.37 fof(c_0_804, plain, (lhs_atom144), inference(fof_simplification,[status(thm)],[c_0_330])).+% 0.08/0.37 fof(c_0_805, plain, (lhs_atom143), inference(fof_simplification,[status(thm)],[c_0_331])).+% 0.08/0.37 fof(c_0_806, plain, (lhs_atom142), inference(fof_simplification,[status(thm)],[c_0_332])).+% 0.08/0.37 fof(c_0_807, plain, (lhs_atom141), inference(fof_simplification,[status(thm)],[c_0_333])).+% 0.08/0.37 fof(c_0_808, plain, (lhs_atom140), inference(fof_simplification,[status(thm)],[c_0_334])).+% 0.08/0.37 fof(c_0_809, plain, (lhs_atom139), inference(fof_simplification,[status(thm)],[c_0_335])).+% 0.08/0.37 fof(c_0_810, plain, (lhs_atom138), inference(fof_simplification,[status(thm)],[c_0_336])).+% 0.08/0.37 fof(c_0_811, plain, (lhs_atom137), inference(fof_simplification,[status(thm)],[c_0_337])).+% 0.08/0.37 fof(c_0_812, plain, (lhs_atom136), inference(fof_simplification,[status(thm)],[c_0_338])).+% 0.08/0.37 fof(c_0_813, plain, (lhs_atom135), inference(fof_simplification,[status(thm)],[c_0_339])).+% 0.08/0.37 fof(c_0_814, plain, (lhs_atom134), inference(fof_simplification,[status(thm)],[c_0_340])).+% 0.08/0.37 fof(c_0_815, plain, (lhs_atom133), inference(fof_simplification,[status(thm)],[c_0_341])).+% 0.08/0.37 fof(c_0_816, plain, (lhs_atom132), inference(fof_simplification,[status(thm)],[c_0_342])).+% 0.08/0.37 fof(c_0_817, plain, (lhs_atom131), inference(fof_simplification,[status(thm)],[c_0_343])).+% 0.08/0.37 fof(c_0_818, plain, (lhs_atom130), inference(fof_simplification,[status(thm)],[c_0_344])).+% 0.08/0.37 fof(c_0_819, plain, (lhs_atom129), inference(fof_simplification,[status(thm)],[c_0_345])).+% 0.08/0.37 fof(c_0_820, plain, (lhs_atom128), inference(fof_simplification,[status(thm)],[c_0_346])).+% 0.08/0.37 fof(c_0_821, plain, (lhs_atom127), inference(fof_simplification,[status(thm)],[c_0_347])).+% 0.08/0.37 fof(c_0_822, plain, (lhs_atom126), inference(fof_simplification,[status(thm)],[c_0_348])).+% 0.08/0.37 fof(c_0_823, plain, (lhs_atom125), inference(fof_simplification,[status(thm)],[c_0_349])).+% 0.08/0.37 fof(c_0_824, plain, (lhs_atom124), inference(fof_simplification,[status(thm)],[c_0_350])).+% 0.08/0.37 fof(c_0_825, plain, (lhs_atom123), inference(fof_simplification,[status(thm)],[c_0_351])).+% 0.08/0.37 fof(c_0_826, plain, (lhs_atom122), inference(fof_simplification,[status(thm)],[c_0_352])).+% 0.08/0.37 fof(c_0_827, plain, (lhs_atom121), inference(fof_simplification,[status(thm)],[c_0_353])).+% 0.08/0.37 fof(c_0_828, plain, (lhs_atom120), inference(fof_simplification,[status(thm)],[c_0_354])).+% 0.08/0.37 fof(c_0_829, plain, (lhs_atom119), inference(fof_simplification,[status(thm)],[c_0_355])).+% 0.08/0.37 fof(c_0_830, plain, (lhs_atom118), inference(fof_simplification,[status(thm)],[c_0_356])).+% 0.08/0.37 fof(c_0_831, plain, (lhs_atom117), inference(fof_simplification,[status(thm)],[c_0_357])).+% 0.08/0.37 fof(c_0_832, plain, (lhs_atom116), inference(fof_simplification,[status(thm)],[c_0_358])).+% 0.08/0.37 fof(c_0_833, plain, (lhs_atom115), inference(fof_simplification,[status(thm)],[c_0_359])).+% 0.08/0.37 fof(c_0_834, plain, (lhs_atom114), inference(fof_simplification,[status(thm)],[c_0_360])).+% 0.08/0.37 fof(c_0_835, plain, (lhs_atom113), inference(fof_simplification,[status(thm)],[c_0_361])).+% 0.08/0.37 fof(c_0_836, plain, (lhs_atom112), inference(fof_simplification,[status(thm)],[c_0_362])).+% 0.08/0.37 fof(c_0_837, plain, (lhs_atom111), inference(fof_simplification,[status(thm)],[c_0_363])).+% 0.08/0.37 fof(c_0_838, plain, (lhs_atom110), inference(fof_simplification,[status(thm)],[c_0_364])).+% 0.08/0.37 fof(c_0_839, plain, (lhs_atom109), inference(fof_simplification,[status(thm)],[c_0_365])).+% 0.08/0.37 fof(c_0_840, plain, (lhs_atom108), inference(fof_simplification,[status(thm)],[c_0_366])).+% 0.08/0.37 fof(c_0_841, plain, (lhs_atom107), inference(fof_simplification,[status(thm)],[c_0_367])).+% 0.08/0.37 fof(c_0_842, plain, (lhs_atom106), inference(fof_simplification,[status(thm)],[c_0_368])).+% 0.08/0.37 fof(c_0_843, plain, (lhs_atom105), inference(fof_simplification,[status(thm)],[c_0_369])).+% 0.08/0.37 fof(c_0_844, plain, (lhs_atom104), inference(fof_simplification,[status(thm)],[c_0_370])).+% 0.08/0.37 fof(c_0_845, plain, (lhs_atom103), inference(fof_simplification,[status(thm)],[c_0_371])).+% 0.08/0.37 fof(c_0_846, plain, (lhs_atom102), inference(fof_simplification,[status(thm)],[c_0_372])).+% 0.08/0.37 fof(c_0_847, plain, (lhs_atom101), inference(fof_simplification,[status(thm)],[c_0_373])).+% 0.08/0.37 fof(c_0_848, plain, (lhs_atom100), inference(fof_simplification,[status(thm)],[c_0_374])).+% 0.08/0.37 fof(c_0_849, plain, (lhs_atom99), inference(fof_simplification,[status(thm)],[c_0_375])).+% 0.08/0.37 fof(c_0_850, plain, (lhs_atom98), inference(fof_simplification,[status(thm)],[c_0_376])).+% 0.08/0.37 fof(c_0_851, plain, (lhs_atom97), inference(fof_simplification,[status(thm)],[c_0_377])).+% 0.08/0.37 fof(c_0_852, plain, (lhs_atom96), inference(fof_simplification,[status(thm)],[c_0_378])).+% 0.08/0.37 fof(c_0_853, plain, (lhs_atom95), inference(fof_simplification,[status(thm)],[c_0_379])).+% 0.08/0.37 fof(c_0_854, plain, (lhs_atom94), inference(fof_simplification,[status(thm)],[c_0_380])).+% 0.08/0.37 fof(c_0_855, plain, (lhs_atom93), inference(fof_simplification,[status(thm)],[c_0_381])).+% 0.08/0.37 fof(c_0_856, plain, (lhs_atom92), inference(fof_simplification,[status(thm)],[c_0_382])).+% 0.08/0.37 fof(c_0_857, plain, (lhs_atom91), inference(fof_simplification,[status(thm)],[c_0_383])).+% 0.08/0.37 fof(c_0_858, plain, (lhs_atom90), inference(fof_simplification,[status(thm)],[c_0_384])).+% 0.08/0.37 fof(c_0_859, plain, (lhs_atom89), inference(fof_simplification,[status(thm)],[c_0_385])).+% 0.08/0.37 fof(c_0_860, plain, (lhs_atom88), inference(fof_simplification,[status(thm)],[c_0_386])).+% 0.08/0.37 fof(c_0_861, plain, (lhs_atom87), inference(fof_simplification,[status(thm)],[c_0_387])).+% 0.08/0.37 fof(c_0_862, plain, (lhs_atom86), inference(fof_simplification,[status(thm)],[c_0_388])).+% 0.08/0.37 fof(c_0_863, plain, (lhs_atom85), inference(fof_simplification,[status(thm)],[c_0_389])).+% 0.08/0.37 fof(c_0_864, plain, (lhs_atom84), inference(fof_simplification,[status(thm)],[c_0_390])).+% 0.08/0.37 fof(c_0_865, plain, (lhs_atom83), inference(fof_simplification,[status(thm)],[c_0_391])).+% 0.08/0.37 fof(c_0_866, plain, (lhs_atom82), inference(fof_simplification,[status(thm)],[c_0_392])).+% 0.08/0.37 fof(c_0_867, plain, (lhs_atom81), inference(fof_simplification,[status(thm)],[c_0_393])).+% 0.08/0.37 fof(c_0_868, plain, (lhs_atom80), inference(fof_simplification,[status(thm)],[c_0_394])).+% 0.08/0.37 fof(c_0_869, plain, (lhs_atom79), inference(fof_simplification,[status(thm)],[c_0_395])).+% 0.08/0.37 fof(c_0_870, plain, (lhs_atom78), inference(fof_simplification,[status(thm)],[c_0_396])).+% 0.08/0.37 fof(c_0_871, plain, (lhs_atom77), inference(fof_simplification,[status(thm)],[c_0_397])).+% 0.08/0.37 fof(c_0_872, plain, (lhs_atom76), inference(fof_simplification,[status(thm)],[c_0_398])).+% 0.08/0.37 fof(c_0_873, plain, (lhs_atom75), inference(fof_simplification,[status(thm)],[c_0_399])).+% 0.08/0.37 fof(c_0_874, plain, (lhs_atom74), inference(fof_simplification,[status(thm)],[c_0_400])).+% 0.08/0.37 fof(c_0_875, plain, (lhs_atom73), inference(fof_simplification,[status(thm)],[c_0_401])).+% 0.08/0.37 fof(c_0_876, plain, (lhs_atom72), inference(fof_simplification,[status(thm)],[c_0_402])).+% 0.08/0.37 fof(c_0_877, plain, (lhs_atom71), inference(fof_simplification,[status(thm)],[c_0_403])).+% 0.08/0.37 fof(c_0_878, plain, (lhs_atom70), inference(fof_simplification,[status(thm)],[c_0_404])).+% 0.08/0.37 fof(c_0_879, plain, (lhs_atom69), inference(fof_simplification,[status(thm)],[c_0_405])).+% 0.08/0.37 fof(c_0_880, plain, (lhs_atom68), inference(fof_simplification,[status(thm)],[c_0_406])).+% 0.08/0.37 fof(c_0_881, plain, (lhs_atom67), inference(fof_simplification,[status(thm)],[c_0_407])).+% 0.08/0.37 fof(c_0_882, plain, (lhs_atom66), inference(fof_simplification,[status(thm)],[c_0_408])).+% 0.08/0.37 fof(c_0_883, plain, (lhs_atom65), inference(fof_simplification,[status(thm)],[c_0_409])).+% 0.08/0.37 fof(c_0_884, plain, (lhs_atom64), inference(fof_simplification,[status(thm)],[c_0_410])).+% 0.08/0.37 fof(c_0_885, plain, (lhs_atom63), inference(fof_simplification,[status(thm)],[c_0_411])).+% 0.08/0.37 fof(c_0_886, plain, (lhs_atom62), inference(fof_simplification,[status(thm)],[c_0_412])).+% 0.08/0.37 fof(c_0_887, plain, (lhs_atom61), inference(fof_simplification,[status(thm)],[c_0_413])).+% 0.08/0.37 fof(c_0_888, plain, (lhs_atom60), inference(fof_simplification,[status(thm)],[c_0_414])).+% 0.08/0.37 fof(c_0_889, plain, (lhs_atom59), inference(fof_simplification,[status(thm)],[c_0_415])).+% 0.08/0.37 fof(c_0_890, plain, (lhs_atom58), inference(fof_simplification,[status(thm)],[c_0_416])).+% 0.08/0.37 fof(c_0_891, plain, (lhs_atom57), inference(fof_simplification,[status(thm)],[c_0_417])).+% 0.08/0.37 fof(c_0_892, plain, (lhs_atom56), inference(fof_simplification,[status(thm)],[c_0_418])).+% 0.08/0.37 fof(c_0_893, plain, (lhs_atom55), inference(fof_simplification,[status(thm)],[c_0_419])).+% 0.08/0.37 fof(c_0_894, plain, (lhs_atom54), inference(fof_simplification,[status(thm)],[c_0_420])).+% 0.08/0.37 fof(c_0_895, plain, (lhs_atom53), inference(fof_simplification,[status(thm)],[c_0_421])).+% 0.08/0.37 fof(c_0_896, plain, (lhs_atom52), inference(fof_simplification,[status(thm)],[c_0_422])).+% 0.08/0.37 fof(c_0_897, plain, (lhs_atom51), inference(fof_simplification,[status(thm)],[c_0_423])).+% 0.08/0.37 fof(c_0_898, plain, (lhs_atom50), inference(fof_simplification,[status(thm)],[c_0_424])).+% 0.08/0.37 fof(c_0_899, plain, (lhs_atom49), inference(fof_simplification,[status(thm)],[c_0_425])).+% 0.08/0.37 fof(c_0_900, plain, (lhs_atom48), inference(fof_simplification,[status(thm)],[c_0_426])).+% 0.08/0.37 fof(c_0_901, plain, (lhs_atom47), inference(fof_simplification,[status(thm)],[c_0_427])).+% 0.08/0.37 fof(c_0_902, plain, (lhs_atom46), inference(fof_simplification,[status(thm)],[c_0_428])).+% 0.08/0.37 fof(c_0_903, plain, (lhs_atom45), inference(fof_simplification,[status(thm)],[c_0_429])).+% 0.08/0.37 fof(c_0_904, plain, (lhs_atom44), inference(fof_simplification,[status(thm)],[c_0_430])).+% 0.08/0.37 fof(c_0_905, plain, (lhs_atom43), inference(fof_simplification,[status(thm)],[c_0_431])).+% 0.08/0.37 fof(c_0_906, plain, (lhs_atom42), inference(fof_simplification,[status(thm)],[c_0_432])).+% 0.08/0.37 fof(c_0_907, plain, (lhs_atom41), inference(fof_simplification,[status(thm)],[c_0_433])).+% 0.08/0.37 fof(c_0_908, plain, (lhs_atom40), inference(fof_simplification,[status(thm)],[c_0_434])).+% 0.08/0.37 fof(c_0_909, plain, (lhs_atom39), inference(fof_simplification,[status(thm)],[c_0_435])).+% 0.08/0.37 fof(c_0_910, plain, (lhs_atom38), inference(fof_simplification,[status(thm)],[c_0_436])).+% 0.08/0.37 fof(c_0_911, plain, (lhs_atom37), inference(fof_simplification,[status(thm)],[c_0_437])).+% 0.08/0.37 fof(c_0_912, plain, (lhs_atom36), inference(fof_simplification,[status(thm)],[c_0_438])).+% 0.08/0.37 fof(c_0_913, plain, (lhs_atom35), inference(fof_simplification,[status(thm)],[c_0_439])).+% 0.08/0.37 fof(c_0_914, plain, (lhs_atom34), inference(fof_simplification,[status(thm)],[c_0_440])).+% 0.08/0.37 fof(c_0_915, plain, (lhs_atom33), inference(fof_simplification,[status(thm)],[c_0_441])).+% 0.08/0.37 fof(c_0_916, plain, (lhs_atom32), inference(fof_simplification,[status(thm)],[c_0_442])).+% 0.08/0.37 fof(c_0_917, plain, (lhs_atom31), inference(fof_simplification,[status(thm)],[c_0_443])).+% 0.08/0.37 fof(c_0_918, plain, (lhs_atom30), inference(fof_simplification,[status(thm)],[c_0_444])).+% 0.08/0.37 fof(c_0_919, plain, (lhs_atom29), inference(fof_simplification,[status(thm)],[c_0_445])).+% 0.08/0.37 fof(c_0_920, plain, (lhs_atom28), inference(fof_simplification,[status(thm)],[c_0_446])).+% 0.08/0.37 fof(c_0_921, plain, (lhs_atom27), inference(fof_simplification,[status(thm)],[c_0_447])).+% 0.08/0.37 fof(c_0_922, plain, (lhs_atom26), inference(fof_simplification,[status(thm)],[c_0_448])).+% 0.08/0.37 fof(c_0_923, plain, (lhs_atom25), inference(fof_simplification,[status(thm)],[c_0_449])).+% 0.08/0.37 fof(c_0_924, plain, (lhs_atom24), inference(fof_simplification,[status(thm)],[c_0_450])).+% 0.08/0.37 fof(c_0_925, plain, (lhs_atom23), inference(fof_simplification,[status(thm)],[c_0_451])).+% 0.08/0.37 fof(c_0_926, plain, (lhs_atom22), inference(fof_simplification,[status(thm)],[c_0_452])).+% 0.08/0.37 fof(c_0_927, plain, (lhs_atom21), inference(fof_simplification,[status(thm)],[c_0_453])).+% 0.08/0.37 fof(c_0_928, plain, (lhs_atom20), inference(fof_simplification,[status(thm)],[c_0_454])).+% 0.08/0.37 fof(c_0_929, plain, (lhs_atom19), inference(fof_simplification,[status(thm)],[c_0_455])).+% 0.08/0.37 fof(c_0_930, plain, (lhs_atom18), inference(fof_simplification,[status(thm)],[c_0_456])).+% 0.08/0.37 fof(c_0_931, plain, (lhs_atom17), inference(fof_simplification,[status(thm)],[c_0_457])).+% 0.08/0.37 fof(c_0_932, plain, (lhs_atom16), inference(fof_simplification,[status(thm)],[c_0_458])).+% 0.08/0.37 fof(c_0_933, plain, (lhs_atom15), inference(fof_simplification,[status(thm)],[c_0_459])).+% 0.08/0.37 fof(c_0_934, plain, (lhs_atom14), inference(fof_simplification,[status(thm)],[c_0_460])).+% 0.08/0.37 fof(c_0_935, plain, (lhs_atom13), inference(fof_simplification,[status(thm)],[c_0_461])).+% 0.08/0.37 fof(c_0_936, plain, (lhs_atom12), inference(fof_simplification,[status(thm)],[c_0_462])).+% 0.08/0.37 fof(c_0_937, plain, (lhs_atom11), inference(fof_simplification,[status(thm)],[c_0_463])).+% 0.08/0.37 fof(c_0_938, plain, (lhs_atom10), inference(fof_simplification,[status(thm)],[c_0_464])).+% 0.08/0.37 fof(c_0_939, plain, (lhs_atom9), inference(fof_simplification,[status(thm)],[c_0_465])).+% 0.08/0.37 fof(c_0_940, plain, (lhs_atom8), inference(fof_simplification,[status(thm)],[c_0_466])).+% 0.08/0.37 fof(c_0_941, plain, (lhs_atom7), inference(fof_simplification,[status(thm)],[c_0_467])).+% 0.08/0.37 fof(c_0_942, plain, (lhs_atom6), inference(fof_simplification,[status(thm)],[c_0_468])).+% 0.08/0.37 fof(c_0_943, plain, (lhs_atom5), inference(fof_simplification,[status(thm)],[c_0_469])).+% 0.08/0.37 fof(c_0_944, plain, (lhs_atom4), inference(fof_simplification,[status(thm)],[c_0_470])).+% 0.08/0.37 fof(c_0_945, plain, (lhs_atom3), inference(fof_simplification,[status(thm)],[c_0_471])).+% 0.08/0.37 fof(c_0_946, plain, (lhs_atom2), inference(fof_simplification,[status(thm)],[c_0_472])).+% 0.08/0.37 fof(c_0_947, plain, (lhs_atom1), inference(fof_simplification,[status(thm)],[c_0_473])).+% 0.08/0.37 fof(c_0_948, axiom, ((lhs_atom259|inv(e0)=e0)), c_0_474).+% 0.08/0.37 fof(c_0_949, axiom, ((lhs_atom258|inv(e1)=e0)), c_0_475).+% 0.08/0.37 fof(c_0_950, axiom, ((lhs_atom257|inv(e2)=e0)), c_0_476).+% 0.08/0.37 fof(c_0_951, axiom, ((lhs_atom256|inv(e3)=e0)), c_0_477).+% 0.08/0.37 fof(c_0_952, axiom, ((lhs_atom255|inv(e4)=e0)), c_0_478).+% 0.08/0.37 fof(c_0_953, axiom, ((lhs_atom254|inv(e5)=e0)), c_0_479).+% 0.08/0.37 fof(c_0_954, axiom, ((lhs_atom253|inv(e0)=e1)), c_0_480).+% 0.08/0.37 fof(c_0_955, axiom, ((lhs_atom252|inv(e1)=e1)), c_0_481).+% 0.08/0.37 fof(c_0_956, axiom, ((lhs_atom251|inv(e2)=e1)), c_0_482).+% 0.08/0.37 fof(c_0_957, axiom, ((lhs_atom250|inv(e3)=e1)), c_0_483).+% 0.08/0.37 fof(c_0_958, axiom, ((lhs_atom249|inv(e4)=e1)), c_0_484).+% 0.08/0.37 fof(c_0_959, axiom, ((lhs_atom248|inv(e5)=e1)), c_0_485).+% 0.08/0.37 fof(c_0_960, axiom, ((lhs_atom247|inv(e0)=e2)), c_0_486).+% 0.08/0.37 fof(c_0_961, axiom, ((lhs_atom246|inv(e1)=e2)), c_0_487).+% 0.08/0.37 fof(c_0_962, axiom, ((lhs_atom245|inv(e2)=e2)), c_0_488).+% 0.08/0.37 fof(c_0_963, axiom, ((lhs_atom244|inv(e3)=e2)), c_0_489).+% 0.08/0.37 fof(c_0_964, axiom, ((lhs_atom243|inv(e4)=e2)), c_0_490).+% 0.08/0.37 fof(c_0_965, axiom, ((lhs_atom242|inv(e5)=e2)), c_0_491).+% 0.08/0.37 fof(c_0_966, axiom, ((lhs_atom241|inv(e0)=e3)), c_0_492).+% 0.08/0.37 fof(c_0_967, axiom, ((lhs_atom240|inv(e1)=e3)), c_0_493).+% 0.08/0.37 fof(c_0_968, axiom, ((lhs_atom239|inv(e2)=e3)), c_0_494).+% 0.08/0.37 fof(c_0_969, axiom, ((lhs_atom238|inv(e3)=e3)), c_0_495).+% 0.08/0.37 fof(c_0_970, axiom, ((lhs_atom237|inv(e4)=e3)), c_0_496).+% 0.08/0.37 fof(c_0_971, axiom, ((lhs_atom236|inv(e5)=e3)), c_0_497).+% 0.08/0.37 fof(c_0_972, axiom, ((lhs_atom235|inv(e0)=e4)), c_0_498).+% 0.08/0.37 fof(c_0_973, axiom, ((lhs_atom234|inv(e1)=e4)), c_0_499).+% 0.08/0.37 fof(c_0_974, axiom, ((lhs_atom233|inv(e2)=e4)), c_0_500).+% 0.08/0.37 fof(c_0_975, axiom, ((lhs_atom232|inv(e3)=e4)), c_0_501).+% 0.08/0.37 fof(c_0_976, axiom, ((lhs_atom231|inv(e4)=e4)), c_0_502).+% 0.08/0.37 fof(c_0_977, axiom, ((lhs_atom230|inv(e5)=e4)), c_0_503).+% 0.08/0.37 fof(c_0_978, axiom, ((lhs_atom229|inv(e0)=e5)), c_0_504).+% 0.08/0.37 fof(c_0_979, axiom, ((lhs_atom228|inv(e1)=e5)), c_0_505).+% 0.08/0.37 fof(c_0_980, axiom, ((lhs_atom227|inv(e2)=e5)), c_0_506).+% 0.08/0.37 fof(c_0_981, axiom, ((lhs_atom226|inv(e3)=e5)), c_0_507).+% 0.08/0.37 fof(c_0_982, axiom, ((lhs_atom225|inv(e4)=e5)), c_0_508).+% 0.08/0.37 fof(c_0_983, axiom, ((lhs_atom224|inv(e5)=e5)), c_0_509).+% 0.08/0.37 fof(c_0_984, plain, (lhs_atom474), c_0_510).+% 0.08/0.37 fof(c_0_985, plain, (lhs_atom473), c_0_511).+% 0.08/0.37 fof(c_0_986, plain, (lhs_atom472), c_0_512).+% 0.08/0.37 fof(c_0_987, plain, (lhs_atom471), c_0_513).+% 0.08/0.37 fof(c_0_988, plain, (lhs_atom470), c_0_514).+% 0.08/0.37 fof(c_0_989, plain, (lhs_atom469), c_0_515).+% 0.08/0.37 fof(c_0_990, plain, (lhs_atom468), c_0_516).+% 0.08/0.37 fof(c_0_991, plain, (lhs_atom467), c_0_517).+% 0.08/0.37 fof(c_0_992, plain, (lhs_atom466), c_0_518).+% 0.08/0.37 fof(c_0_993, plain, (lhs_atom465), c_0_519).+% 0.08/0.37 fof(c_0_994, plain, (lhs_atom464), c_0_520).+% 0.08/0.37 fof(c_0_995, plain, (lhs_atom463), c_0_521).+% 0.08/0.37 fof(c_0_996, plain, (lhs_atom462), c_0_522).+% 0.08/0.37 fof(c_0_997, plain, (lhs_atom461), c_0_523).+% 0.08/0.37 fof(c_0_998, plain, (lhs_atom460), c_0_524).+% 0.08/0.37 fof(c_0_999, plain, (lhs_atom459), c_0_525).+% 0.08/0.37 fof(c_0_1000, plain, (lhs_atom458), c_0_526).+% 0.08/0.37 fof(c_0_1001, plain, (lhs_atom457), c_0_527).+% 0.08/0.37 fof(c_0_1002, plain, (lhs_atom456), c_0_528).+% 0.08/0.37 fof(c_0_1003, plain, (lhs_atom455), c_0_529).+% 0.08/0.37 fof(c_0_1004, plain, (lhs_atom454), c_0_530).+% 0.08/0.37 fof(c_0_1005, plain, (lhs_atom453), c_0_531).+% 0.08/0.37 fof(c_0_1006, plain, (lhs_atom452), c_0_532).+% 0.08/0.37 fof(c_0_1007, plain, (lhs_atom451), c_0_533).+% 0.08/0.37 fof(c_0_1008, plain, (lhs_atom450), c_0_534).+% 0.08/0.37 fof(c_0_1009, plain, (lhs_atom449), c_0_535).+% 0.08/0.37 fof(c_0_1010, plain, (lhs_atom448), c_0_536).+% 0.08/0.37 fof(c_0_1011, plain, (lhs_atom447), c_0_537).+% 0.08/0.37 fof(c_0_1012, plain, (lhs_atom446), c_0_538).+% 0.08/0.37 fof(c_0_1013, plain, (lhs_atom445), c_0_539).+% 0.08/0.37 fof(c_0_1014, plain, (lhs_atom444), c_0_540).+% 0.08/0.37 fof(c_0_1015, plain, (lhs_atom443), c_0_541).+% 0.08/0.37 fof(c_0_1016, plain, (lhs_atom442), c_0_542).+% 0.08/0.37 fof(c_0_1017, plain, (lhs_atom441), c_0_543).+% 0.08/0.37 fof(c_0_1018, plain, (lhs_atom440), c_0_544).+% 0.08/0.37 fof(c_0_1019, plain, (lhs_atom439), c_0_545).+% 0.08/0.37 fof(c_0_1020, plain, (lhs_atom438), c_0_546).+% 0.08/0.37 fof(c_0_1021, plain, (lhs_atom437), c_0_547).+% 0.08/0.37 fof(c_0_1022, plain, (lhs_atom436), c_0_548).+% 0.08/0.37 fof(c_0_1023, plain, (lhs_atom435), c_0_549).+% 0.08/0.37 fof(c_0_1024, plain, (lhs_atom434), c_0_550).+% 0.08/0.37 fof(c_0_1025, plain, (lhs_atom433), c_0_551).+% 0.08/0.37 fof(c_0_1026, plain, (lhs_atom432), c_0_552).+% 0.08/0.37 fof(c_0_1027, plain, (lhs_atom431), c_0_553).+% 0.08/0.37 fof(c_0_1028, plain, (lhs_atom430), c_0_554).+% 0.08/0.37 fof(c_0_1029, plain, (lhs_atom429), c_0_555).+% 0.08/0.37 fof(c_0_1030, plain, (lhs_atom428), c_0_556).+% 0.08/0.37 fof(c_0_1031, plain, (lhs_atom427), c_0_557).+% 0.08/0.37 fof(c_0_1032, plain, (lhs_atom426), c_0_558).+% 0.08/0.37 fof(c_0_1033, plain, (lhs_atom425), c_0_559).+% 0.08/0.37 fof(c_0_1034, plain, (lhs_atom424), c_0_560).+% 0.08/0.37 fof(c_0_1035, plain, (lhs_atom423), c_0_561).+% 0.08/0.37 fof(c_0_1036, plain, (lhs_atom422), c_0_562).+% 0.08/0.37 fof(c_0_1037, plain, (lhs_atom421), c_0_563).+% 0.08/0.37 fof(c_0_1038, plain, (lhs_atom420), c_0_564).+% 0.08/0.37 fof(c_0_1039, plain, (lhs_atom419), c_0_565).+% 0.08/0.37 fof(c_0_1040, plain, (lhs_atom418), c_0_566).+% 0.08/0.37 fof(c_0_1041, plain, (lhs_atom417), c_0_567).+% 0.08/0.37 fof(c_0_1042, plain, (lhs_atom416), c_0_568).+% 0.08/0.37 fof(c_0_1043, plain, (lhs_atom415), c_0_569).+% 0.08/0.37 fof(c_0_1044, plain, (lhs_atom414), c_0_570).+% 0.08/0.37 fof(c_0_1045, plain, (lhs_atom413), c_0_571).+% 0.08/0.37 fof(c_0_1046, plain, (lhs_atom412), c_0_572).+% 0.08/0.37 fof(c_0_1047, plain, (lhs_atom411), c_0_573).+% 0.08/0.37 fof(c_0_1048, plain, (lhs_atom410), c_0_574).+% 0.08/0.37 fof(c_0_1049, plain, (lhs_atom409), c_0_575).+% 0.08/0.37 fof(c_0_1050, plain, (lhs_atom408), c_0_576).+% 0.08/0.37 fof(c_0_1051, plain, (lhs_atom407), c_0_577).+% 0.08/0.37 fof(c_0_1052, plain, (lhs_atom406), c_0_578).+% 0.08/0.37 fof(c_0_1053, plain, (lhs_atom405), c_0_579).+% 0.08/0.37 fof(c_0_1054, plain, (lhs_atom404), c_0_580).+% 0.08/0.37 fof(c_0_1055, plain, (lhs_atom403), c_0_581).+% 0.08/0.37 fof(c_0_1056, plain, (lhs_atom402), c_0_582).+% 0.08/0.37 fof(c_0_1057, plain, (lhs_atom401), c_0_583).+% 0.08/0.37 fof(c_0_1058, plain, (lhs_atom400), c_0_584).+% 0.08/0.37 fof(c_0_1059, plain, (lhs_atom399), c_0_585).+% 0.08/0.37 fof(c_0_1060, plain, (lhs_atom398), c_0_586).+% 0.08/0.37 fof(c_0_1061, plain, (lhs_atom397), c_0_587).+% 0.08/0.37 fof(c_0_1062, plain, (lhs_atom396), c_0_588).+% 0.08/0.37 fof(c_0_1063, plain, (lhs_atom395), c_0_589).+% 0.08/0.37 fof(c_0_1064, plain, (lhs_atom394), c_0_590).+% 0.08/0.37 fof(c_0_1065, plain, (lhs_atom393), c_0_591).+% 0.08/0.37 fof(c_0_1066, plain, (lhs_atom392), c_0_592).+% 0.08/0.37 fof(c_0_1067, plain, (lhs_atom391), c_0_593).+% 0.08/0.37 fof(c_0_1068, plain, (lhs_atom390), c_0_594).+% 0.08/0.37 fof(c_0_1069, plain, (lhs_atom389), c_0_595).+% 0.08/0.37 fof(c_0_1070, plain, (lhs_atom388), c_0_596).+% 0.08/0.37 fof(c_0_1071, plain, (lhs_atom387), c_0_597).+% 0.08/0.37 fof(c_0_1072, plain, (lhs_atom386), c_0_598).+% 0.08/0.37 fof(c_0_1073, plain, (lhs_atom385), c_0_599).+% 0.08/0.37 fof(c_0_1074, plain, (lhs_atom384), c_0_600).+% 0.08/0.37 fof(c_0_1075, plain, (lhs_atom383), c_0_601).+% 0.08/0.37 fof(c_0_1076, plain, (lhs_atom382), c_0_602).+% 0.08/0.37 fof(c_0_1077, plain, (lhs_atom381), c_0_603).+% 0.08/0.37 fof(c_0_1078, plain, (lhs_atom380), c_0_604).+% 0.08/0.37 fof(c_0_1079, plain, (lhs_atom379), c_0_605).+% 0.08/0.37 fof(c_0_1080, plain, (lhs_atom378), c_0_606).+% 0.08/0.37 fof(c_0_1081, plain, (lhs_atom377), c_0_607).+% 0.08/0.37 fof(c_0_1082, plain, (lhs_atom376), c_0_608).+% 0.08/0.37 fof(c_0_1083, plain, (lhs_atom375), c_0_609).+% 0.08/0.37 fof(c_0_1084, plain, (lhs_atom374), c_0_610).+% 0.08/0.37 fof(c_0_1085, plain, (lhs_atom373), c_0_611).+% 0.08/0.37 fof(c_0_1086, plain, (lhs_atom372), c_0_612).+% 0.08/0.37 fof(c_0_1087, plain, (lhs_atom371), c_0_613).+% 0.08/0.37 fof(c_0_1088, plain, (lhs_atom370), c_0_614).+% 0.08/0.37 fof(c_0_1089, plain, (lhs_atom369), c_0_615).+% 0.08/0.37 fof(c_0_1090, plain, (lhs_atom368), c_0_616).+% 0.08/0.37 fof(c_0_1091, plain, (lhs_atom367), c_0_617).+% 0.08/0.37 fof(c_0_1092, plain, (lhs_atom366), c_0_618).+% 0.08/0.37 fof(c_0_1093, plain, (lhs_atom365), c_0_619).+% 0.08/0.37 fof(c_0_1094, plain, (lhs_atom364), c_0_620).+% 0.08/0.37 fof(c_0_1095, plain, (lhs_atom363), c_0_621).+% 0.08/0.37 fof(c_0_1096, plain, (lhs_atom362), c_0_622).+% 0.08/0.37 fof(c_0_1097, plain, (lhs_atom361), c_0_623).+% 0.08/0.37 fof(c_0_1098, plain, (lhs_atom360), c_0_624).+% 0.08/0.37 fof(c_0_1099, plain, (lhs_atom359), c_0_625).+% 0.08/0.37 fof(c_0_1100, plain, (lhs_atom358), c_0_626).+% 0.08/0.37 fof(c_0_1101, plain, (lhs_atom357), c_0_627).+% 0.08/0.37 fof(c_0_1102, plain, (lhs_atom356), c_0_628).+% 0.08/0.37 fof(c_0_1103, plain, (lhs_atom355), c_0_629).+% 0.08/0.37 fof(c_0_1104, plain, (lhs_atom354), c_0_630).+% 0.08/0.37 fof(c_0_1105, plain, (lhs_atom353), c_0_631).+% 0.08/0.37 fof(c_0_1106, plain, (lhs_atom352), c_0_632).+% 0.08/0.37 fof(c_0_1107, plain, (lhs_atom351), c_0_633).+% 0.08/0.37 fof(c_0_1108, plain, (lhs_atom350), c_0_634).+% 0.08/0.37 fof(c_0_1109, plain, (lhs_atom349), c_0_635).+% 0.08/0.37 fof(c_0_1110, plain, (lhs_atom348), c_0_636).+% 0.08/0.37 fof(c_0_1111, plain, (lhs_atom347), c_0_637).+% 0.08/0.37 fof(c_0_1112, plain, (lhs_atom346), c_0_638).+% 0.08/0.37 fof(c_0_1113, plain, (lhs_atom345), c_0_639).+% 0.08/0.37 fof(c_0_1114, plain, (lhs_atom344), c_0_640).+% 0.08/0.37 fof(c_0_1115, plain, (lhs_atom343), c_0_641).+% 0.08/0.37 fof(c_0_1116, plain, (lhs_atom342), c_0_642).+% 0.08/0.37 fof(c_0_1117, plain, (lhs_atom341), c_0_643).+% 0.08/0.37 fof(c_0_1118, plain, (lhs_atom340), c_0_644).+% 0.08/0.37 fof(c_0_1119, plain, (lhs_atom339), c_0_645).+% 0.08/0.37 fof(c_0_1120, plain, (lhs_atom338), c_0_646).+% 0.08/0.37 fof(c_0_1121, plain, (lhs_atom337), c_0_647).+% 0.08/0.37 fof(c_0_1122, plain, (lhs_atom336), c_0_648).+% 0.08/0.37 fof(c_0_1123, plain, (lhs_atom335), c_0_649).+% 0.08/0.37 fof(c_0_1124, plain, (lhs_atom334), c_0_650).+% 0.08/0.37 fof(c_0_1125, plain, (lhs_atom333), c_0_651).+% 0.08/0.37 fof(c_0_1126, plain, (lhs_atom332), c_0_652).+% 0.08/0.37 fof(c_0_1127, plain, (lhs_atom331), c_0_653).+% 0.08/0.37 fof(c_0_1128, plain, (lhs_atom330), c_0_654).+% 0.08/0.37 fof(c_0_1129, plain, (lhs_atom329), c_0_655).+% 0.08/0.37 fof(c_0_1130, plain, (lhs_atom328), c_0_656).+% 0.08/0.37 fof(c_0_1131, plain, (lhs_atom327), c_0_657).+% 0.08/0.37 fof(c_0_1132, plain, (lhs_atom326), c_0_658).+% 0.08/0.37 fof(c_0_1133, plain, (lhs_atom325), c_0_659).+% 0.08/0.37 fof(c_0_1134, plain, (lhs_atom324), c_0_660).+% 0.08/0.37 fof(c_0_1135, plain, (lhs_atom323), c_0_661).+% 0.08/0.37 fof(c_0_1136, plain, (lhs_atom322), c_0_662).+% 0.08/0.37 fof(c_0_1137, plain, (lhs_atom321), c_0_663).+% 0.08/0.37 fof(c_0_1138, plain, (lhs_atom320), c_0_664).+% 0.08/0.37 fof(c_0_1139, plain, (lhs_atom319), c_0_665).+% 0.08/0.37 fof(c_0_1140, plain, (lhs_atom318), c_0_666).+% 0.08/0.37 fof(c_0_1141, plain, (lhs_atom317), c_0_667).+% 0.08/0.37 fof(c_0_1142, plain, (lhs_atom316), c_0_668).+% 0.08/0.37 fof(c_0_1143, plain, (lhs_atom315), c_0_669).+% 0.08/0.37 fof(c_0_1144, plain, (lhs_atom314), c_0_670).+% 0.08/0.37 fof(c_0_1145, plain, (lhs_atom313), c_0_671).+% 0.08/0.37 fof(c_0_1146, plain, (lhs_atom312), c_0_672).+% 0.08/0.37 fof(c_0_1147, plain, (lhs_atom311), c_0_673).+% 0.08/0.37 fof(c_0_1148, plain, (lhs_atom310), c_0_674).+% 0.08/0.37 fof(c_0_1149, plain, (lhs_atom309), c_0_675).+% 0.08/0.37 fof(c_0_1150, plain, (lhs_atom308), c_0_676).+% 0.08/0.37 fof(c_0_1151, plain, (lhs_atom307), c_0_677).+% 0.08/0.37 fof(c_0_1152, plain, (lhs_atom306), c_0_678).+% 0.08/0.37 fof(c_0_1153, plain, (lhs_atom305), c_0_679).+% 0.08/0.37 fof(c_0_1154, plain, (lhs_atom304), c_0_680).+% 0.08/0.37 fof(c_0_1155, plain, (lhs_atom303), c_0_681).+% 0.08/0.37 fof(c_0_1156, plain, (lhs_atom302), c_0_682).+% 0.08/0.37 fof(c_0_1157, plain, (lhs_atom301), c_0_683).+% 0.08/0.37 fof(c_0_1158, plain, (lhs_atom300), c_0_684).+% 0.08/0.37 fof(c_0_1159, plain, (lhs_atom299), c_0_685).+% 0.08/0.37 fof(c_0_1160, plain, (lhs_atom298), c_0_686).+% 0.08/0.37 fof(c_0_1161, plain, (lhs_atom297), c_0_687).+% 0.08/0.37 fof(c_0_1162, plain, (lhs_atom296), c_0_688).+% 0.08/0.37 fof(c_0_1163, plain, (lhs_atom295), c_0_689).+% 0.08/0.37 fof(c_0_1164, plain, (lhs_atom294), c_0_690).+% 0.08/0.37 fof(c_0_1165, plain, (lhs_atom293), c_0_691).+% 0.08/0.37 fof(c_0_1166, plain, (lhs_atom292), c_0_692).+% 0.08/0.37 fof(c_0_1167, plain, (lhs_atom291), c_0_693).+% 0.08/0.37 fof(c_0_1168, plain, (lhs_atom290), c_0_694).+% 0.08/0.37 fof(c_0_1169, plain, (lhs_atom289), c_0_695).+% 0.08/0.37 fof(c_0_1170, plain, (lhs_atom288), c_0_696).+% 0.08/0.37 fof(c_0_1171, plain, (lhs_atom287), c_0_697).+% 0.08/0.37 fof(c_0_1172, plain, (lhs_atom286), c_0_698).+% 0.08/0.37 fof(c_0_1173, plain, (lhs_atom285), c_0_699).+% 0.08/0.37 fof(c_0_1174, plain, (lhs_atom284), c_0_700).+% 0.08/0.37 fof(c_0_1175, plain, (lhs_atom283), c_0_701).+% 0.08/0.37 fof(c_0_1176, plain, (lhs_atom282), c_0_702).+% 0.08/0.37 fof(c_0_1177, plain, (lhs_atom281), c_0_703).+% 0.08/0.37 fof(c_0_1178, plain, (lhs_atom280), c_0_704).+% 0.08/0.37 fof(c_0_1179, plain, (lhs_atom279), c_0_705).+% 0.08/0.37 fof(c_0_1180, plain, (lhs_atom278), c_0_706).+% 0.08/0.37 fof(c_0_1181, plain, (lhs_atom277), c_0_707).+% 0.08/0.37 fof(c_0_1182, plain, (lhs_atom276), c_0_708).+% 0.08/0.37 fof(c_0_1183, plain, (lhs_atom275), c_0_709).+% 0.08/0.37 fof(c_0_1184, plain, (lhs_atom274), c_0_710).+% 0.08/0.37 fof(c_0_1185, plain, (lhs_atom273), c_0_711).+% 0.08/0.37 fof(c_0_1186, plain, (lhs_atom272), c_0_712).+% 0.08/0.37 fof(c_0_1187, plain, (lhs_atom271), c_0_713).+% 0.08/0.37 fof(c_0_1188, plain, (lhs_atom270), c_0_714).+% 0.08/0.37 fof(c_0_1189, plain, (lhs_atom269), c_0_715).+% 0.08/0.37 fof(c_0_1190, plain, (lhs_atom268), c_0_716).+% 0.08/0.37 fof(c_0_1191, plain, (lhs_atom267), c_0_717).+% 0.08/0.37 fof(c_0_1192, plain, (lhs_atom266), c_0_718).+% 0.08/0.37 fof(c_0_1193, plain, (lhs_atom265), c_0_719).+% 0.08/0.37 fof(c_0_1194, plain, (lhs_atom264), c_0_720).+% 0.08/0.37 fof(c_0_1195, plain, (lhs_atom263), c_0_721).+% 0.08/0.37 fof(c_0_1196, plain, (lhs_atom262), c_0_722).+% 0.08/0.37 fof(c_0_1197, plain, (lhs_atom261), c_0_723).+% 0.08/0.37 fof(c_0_1198, plain, (lhs_atom260), c_0_724).+% 0.08/0.37 fof(c_0_1199, plain, (lhs_atom223), c_0_725).+% 0.08/0.37 fof(c_0_1200, plain, (lhs_atom222), c_0_726).+% 0.08/0.37 fof(c_0_1201, plain, (lhs_atom221), c_0_727).+% 0.08/0.37 fof(c_0_1202, plain, (lhs_atom220), c_0_728).+% 0.08/0.37 fof(c_0_1203, plain, (lhs_atom219), c_0_729).+% 0.08/0.37 fof(c_0_1204, plain, (lhs_atom218), c_0_730).+% 0.08/0.37 fof(c_0_1205, plain, (lhs_atom217), c_0_731).+% 0.08/0.37 fof(c_0_1206, plain, (lhs_atom216), c_0_732).+% 0.08/0.37 fof(c_0_1207, plain, (lhs_atom215), c_0_733).+% 0.08/0.37 fof(c_0_1208, plain, (lhs_atom214), c_0_734).+% 0.08/0.37 fof(c_0_1209, plain, (lhs_atom213), c_0_735).+% 0.08/0.37 fof(c_0_1210, plain, (lhs_atom212), c_0_736).+% 0.08/0.37 fof(c_0_1211, plain, (lhs_atom211), c_0_737).+% 0.08/0.37 fof(c_0_1212, plain, (lhs_atom210), c_0_738).+% 0.08/0.37 fof(c_0_1213, plain, (lhs_atom209), c_0_739).+% 0.08/0.37 fof(c_0_1214, plain, (lhs_atom208), c_0_740).+% 0.08/0.37 fof(c_0_1215, plain, (lhs_atom207), c_0_741).+% 0.08/0.37 fof(c_0_1216, plain, (lhs_atom206), c_0_742).+% 0.08/0.37 fof(c_0_1217, plain, (lhs_atom205), c_0_743).+% 0.08/0.37 fof(c_0_1218, plain, (lhs_atom204), c_0_744).+% 0.08/0.37 fof(c_0_1219, plain, (lhs_atom203), c_0_745).+% 0.08/0.37 fof(c_0_1220, plain, (lhs_atom202), c_0_746).+% 0.08/0.37 fof(c_0_1221, plain, (lhs_atom201), c_0_747).+% 0.08/0.37 fof(c_0_1222, plain, (lhs_atom200), c_0_748).+% 0.08/0.37 fof(c_0_1223, plain, (lhs_atom199), c_0_749).+% 0.08/0.37 fof(c_0_1224, plain, (lhs_atom198), c_0_750).+% 0.08/0.37 fof(c_0_1225, plain, (lhs_atom197), c_0_751).+% 0.08/0.37 fof(c_0_1226, plain, (lhs_atom196), c_0_752).+% 0.08/0.37 fof(c_0_1227, plain, (lhs_atom195), c_0_753).+% 0.08/0.37 fof(c_0_1228, plain, (lhs_atom194), c_0_754).+% 0.08/0.37 fof(c_0_1229, plain, (lhs_atom193), c_0_755).+% 0.08/0.37 fof(c_0_1230, plain, (lhs_atom192), c_0_756).+% 0.08/0.37 fof(c_0_1231, plain, (lhs_atom191), c_0_757).+% 0.08/0.37 fof(c_0_1232, plain, (lhs_atom190), c_0_758).+% 0.08/0.37 fof(c_0_1233, plain, (lhs_atom189), c_0_759).+% 0.08/0.37 fof(c_0_1234, plain, (lhs_atom188), c_0_760).+% 0.08/0.37 fof(c_0_1235, plain, (lhs_atom187), c_0_761).+% 0.08/0.37 fof(c_0_1236, plain, (lhs_atom186), c_0_762).+% 0.08/0.37 fof(c_0_1237, plain, (lhs_atom185), c_0_763).+% 0.08/0.37 fof(c_0_1238, plain, (lhs_atom184), c_0_764).+% 0.08/0.37 fof(c_0_1239, plain, (lhs_atom183), c_0_765).+% 0.08/0.37 fof(c_0_1240, plain, (lhs_atom182), c_0_766).+% 0.08/0.37 fof(c_0_1241, plain, (lhs_atom181), c_0_767).+% 0.08/0.37 fof(c_0_1242, plain, (lhs_atom180), c_0_768).+% 0.08/0.37 fof(c_0_1243, plain, (lhs_atom179), c_0_769).+% 0.08/0.37 fof(c_0_1244, plain, (lhs_atom178), c_0_770).+% 0.08/0.37 fof(c_0_1245, plain, (lhs_atom177), c_0_771).+% 0.08/0.37 fof(c_0_1246, plain, (lhs_atom176), c_0_772).+% 0.08/0.37 fof(c_0_1247, plain, (lhs_atom175), c_0_773).+% 0.08/0.37 fof(c_0_1248, plain, (lhs_atom174), c_0_774).+% 0.08/0.37 fof(c_0_1249, plain, (lhs_atom173), c_0_775).+% 0.08/0.37 fof(c_0_1250, plain, (lhs_atom172), c_0_776).+% 0.08/0.37 fof(c_0_1251, plain, (lhs_atom171), c_0_777).+% 0.08/0.37 fof(c_0_1252, plain, (lhs_atom170), c_0_778).+% 0.08/0.37 fof(c_0_1253, plain, (lhs_atom169), c_0_779).+% 0.08/0.37 fof(c_0_1254, plain, (lhs_atom168), c_0_780).+% 0.08/0.37 fof(c_0_1255, plain, (lhs_atom167), c_0_781).+% 0.08/0.37 fof(c_0_1256, plain, (lhs_atom166), c_0_782).+% 0.08/0.37 fof(c_0_1257, plain, (lhs_atom165), c_0_783).+% 0.08/0.37 fof(c_0_1258, plain, (lhs_atom164), c_0_784).+% 0.08/0.37 fof(c_0_1259, plain, (lhs_atom163), c_0_785).+% 0.08/0.37 fof(c_0_1260, plain, (lhs_atom162), c_0_786).+% 0.08/0.37 fof(c_0_1261, plain, (lhs_atom161), c_0_787).+% 0.08/0.37 fof(c_0_1262, plain, (lhs_atom160), c_0_788).+% 0.08/0.37 fof(c_0_1263, plain, (lhs_atom159), c_0_789).+% 0.08/0.37 fof(c_0_1264, plain, (lhs_atom158), c_0_790).+% 0.08/0.37 fof(c_0_1265, plain, (lhs_atom157), c_0_791).+% 0.08/0.37 fof(c_0_1266, plain, (lhs_atom156), c_0_792).+% 0.08/0.37 fof(c_0_1267, plain, (lhs_atom155), c_0_793).+% 0.08/0.37 fof(c_0_1268, plain, (lhs_atom154), c_0_794).+% 0.08/0.37 fof(c_0_1269, plain, (lhs_atom153), c_0_795).+% 0.08/0.37 fof(c_0_1270, plain, (lhs_atom152), c_0_796).+% 0.08/0.37 fof(c_0_1271, plain, (lhs_atom151), c_0_797).+% 0.08/0.37 fof(c_0_1272, plain, (lhs_atom150), c_0_798).+% 0.08/0.37 fof(c_0_1273, plain, (lhs_atom149), c_0_799).+% 0.08/0.37 fof(c_0_1274, plain, (lhs_atom148), c_0_800).+% 0.08/0.37 fof(c_0_1275, plain, (lhs_atom147), c_0_801).+% 0.08/0.37 fof(c_0_1276, plain, (lhs_atom146), c_0_802).+% 0.08/0.37 fof(c_0_1277, plain, (lhs_atom145), c_0_803).+% 0.08/0.37 fof(c_0_1278, plain, (lhs_atom144), c_0_804).+% 0.08/0.37 fof(c_0_1279, plain, (lhs_atom143), c_0_805).+% 0.08/0.37 fof(c_0_1280, plain, (lhs_atom142), c_0_806).+% 0.08/0.37 fof(c_0_1281, plain, (lhs_atom141), c_0_807).+% 0.08/0.37 fof(c_0_1282, plain, (lhs_atom140), c_0_808).+% 0.08/0.37 fof(c_0_1283, plain, (lhs_atom139), c_0_809).+% 0.08/0.37 fof(c_0_1284, plain, (lhs_atom138), c_0_810).+% 0.08/0.37 fof(c_0_1285, plain, (lhs_atom137), c_0_811).+% 0.08/0.37 fof(c_0_1286, plain, (lhs_atom136), c_0_812).+% 0.08/0.37 fof(c_0_1287, plain, (lhs_atom135), c_0_813).+% 0.08/0.37 fof(c_0_1288, plain, (lhs_atom134), c_0_814).+% 0.08/0.37 fof(c_0_1289, plain, (lhs_atom133), c_0_815).+% 0.08/0.37 fof(c_0_1290, plain, (lhs_atom132), c_0_816).+% 0.08/0.37 fof(c_0_1291, plain, (lhs_atom131), c_0_817).+% 0.08/0.37 fof(c_0_1292, plain, (lhs_atom130), c_0_818).+% 0.08/0.37 fof(c_0_1293, plain, (lhs_atom129), c_0_819).+% 0.08/0.37 fof(c_0_1294, plain, (lhs_atom128), c_0_820).+% 0.08/0.37 fof(c_0_1295, plain, (lhs_atom127), c_0_821).+% 0.08/0.37 fof(c_0_1296, plain, (lhs_atom126), c_0_822).+% 0.08/0.37 fof(c_0_1297, plain, (lhs_atom125), c_0_823).+% 0.08/0.37 fof(c_0_1298, plain, (lhs_atom124), c_0_824).+% 0.08/0.37 fof(c_0_1299, plain, (lhs_atom123), c_0_825).+% 0.08/0.37 fof(c_0_1300, plain, (lhs_atom122), c_0_826).+% 0.08/0.37 fof(c_0_1301, plain, (lhs_atom121), c_0_827).+% 0.08/0.37 fof(c_0_1302, plain, (lhs_atom120), c_0_828).+% 0.08/0.37 fof(c_0_1303, plain, (lhs_atom119), c_0_829).+% 0.08/0.37 fof(c_0_1304, plain, (lhs_atom118), c_0_830).+% 0.08/0.37 fof(c_0_1305, plain, (lhs_atom117), c_0_831).+% 0.08/0.37 fof(c_0_1306, plain, (lhs_atom116), c_0_832).+% 0.08/0.37 fof(c_0_1307, plain, (lhs_atom115), c_0_833).+% 0.08/0.37 fof(c_0_1308, plain, (lhs_atom114), c_0_834).+% 0.08/0.37 fof(c_0_1309, plain, (lhs_atom113), c_0_835).+% 0.08/0.37 fof(c_0_1310, plain, (lhs_atom112), c_0_836).+% 0.08/0.37 fof(c_0_1311, plain, (lhs_atom111), c_0_837).+% 0.08/0.37 fof(c_0_1312, plain, (lhs_atom110), c_0_838).+% 0.08/0.37 fof(c_0_1313, plain, (lhs_atom109), c_0_839).+% 0.08/0.37 fof(c_0_1314, plain, (lhs_atom108), c_0_840).+% 0.08/0.37 fof(c_0_1315, plain, (lhs_atom107), c_0_841).+% 0.08/0.37 fof(c_0_1316, plain, (lhs_atom106), c_0_842).+% 0.08/0.37 fof(c_0_1317, plain, (lhs_atom105), c_0_843).+% 0.08/0.37 fof(c_0_1318, plain, (lhs_atom104), c_0_844).+% 0.08/0.37 fof(c_0_1319, plain, (lhs_atom103), c_0_845).+% 0.08/0.37 fof(c_0_1320, plain, (lhs_atom102), c_0_846).+% 0.08/0.37 fof(c_0_1321, plain, (lhs_atom101), c_0_847).+% 0.08/0.37 fof(c_0_1322, plain, (lhs_atom100), c_0_848).+% 0.08/0.37 fof(c_0_1323, plain, (lhs_atom99), c_0_849).+% 0.08/0.37 fof(c_0_1324, plain, (lhs_atom98), c_0_850).+% 0.08/0.37 fof(c_0_1325, plain, (lhs_atom97), c_0_851).+% 0.08/0.37 fof(c_0_1326, plain, (lhs_atom96), c_0_852).+% 0.08/0.37 fof(c_0_1327, plain, (lhs_atom95), c_0_853).+% 0.08/0.37 fof(c_0_1328, plain, (lhs_atom94), c_0_854).+% 0.08/0.37 fof(c_0_1329, plain, (lhs_atom93), c_0_855).+% 0.08/0.37 fof(c_0_1330, plain, (lhs_atom92), c_0_856).+% 0.08/0.37 fof(c_0_1331, plain, (lhs_atom91), c_0_857).+% 0.08/0.37 fof(c_0_1332, plain, (lhs_atom90), c_0_858).+% 0.08/0.37 fof(c_0_1333, plain, (lhs_atom89), c_0_859).+% 0.08/0.37 fof(c_0_1334, plain, (lhs_atom88), c_0_860).+% 0.08/0.37 fof(c_0_1335, plain, (lhs_atom87), c_0_861).+% 0.08/0.37 fof(c_0_1336, plain, (lhs_atom86), c_0_862).+% 0.08/0.37 fof(c_0_1337, plain, (lhs_atom85), c_0_863).+% 0.08/0.37 fof(c_0_1338, plain, (lhs_atom84), c_0_864).+% 0.08/0.37 fof(c_0_1339, plain, (lhs_atom83), c_0_865).+% 0.08/0.37 fof(c_0_1340, plain, (lhs_atom82), c_0_866).+% 0.08/0.37 fof(c_0_1341, plain, (lhs_atom81), c_0_867).+% 0.08/0.37 fof(c_0_1342, plain, (lhs_atom80), c_0_868).+% 0.08/0.37 fof(c_0_1343, plain, (lhs_atom79), c_0_869).+% 0.08/0.37 fof(c_0_1344, plain, (lhs_atom78), c_0_870).+% 0.08/0.37 fof(c_0_1345, plain, (lhs_atom77), c_0_871).+% 0.08/0.37 fof(c_0_1346, plain, (lhs_atom76), c_0_872).+% 0.08/0.37 fof(c_0_1347, plain, (lhs_atom75), c_0_873).+% 0.08/0.37 fof(c_0_1348, plain, (lhs_atom74), c_0_874).+% 0.08/0.37 fof(c_0_1349, plain, (lhs_atom73), c_0_875).+% 0.08/0.37 fof(c_0_1350, plain, (lhs_atom72), c_0_876).+% 0.08/0.37 fof(c_0_1351, plain, (lhs_atom71), c_0_877).+% 0.08/0.37 fof(c_0_1352, plain, (lhs_atom70), c_0_878).+% 0.08/0.37 fof(c_0_1353, plain, (lhs_atom69), c_0_879).+% 0.08/0.37 fof(c_0_1354, plain, (lhs_atom68), c_0_880).+% 0.08/0.37 fof(c_0_1355, plain, (lhs_atom67), c_0_881).+% 0.08/0.37 fof(c_0_1356, plain, (lhs_atom66), c_0_882).+% 0.08/0.37 fof(c_0_1357, plain, (lhs_atom65), c_0_883).+% 0.08/0.37 fof(c_0_1358, plain, (lhs_atom64), c_0_884).+% 0.08/0.37 fof(c_0_1359, plain, (lhs_atom63), c_0_885).+% 0.08/0.37 fof(c_0_1360, plain, (lhs_atom62), c_0_886).+% 0.08/0.37 fof(c_0_1361, plain, (lhs_atom61), c_0_887).+% 0.08/0.37 fof(c_0_1362, plain, (lhs_atom60), c_0_888).+% 0.08/0.37 fof(c_0_1363, plain, (lhs_atom59), c_0_889).+% 0.08/0.37 fof(c_0_1364, plain, (lhs_atom58), c_0_890).+% 0.08/0.37 fof(c_0_1365, plain, (lhs_atom57), c_0_891).+% 0.08/0.37 fof(c_0_1366, plain, (lhs_atom56), c_0_892).+% 0.08/0.37 fof(c_0_1367, plain, (lhs_atom55), c_0_893).+% 0.08/0.37 fof(c_0_1368, plain, (lhs_atom54), c_0_894).+% 0.08/0.37 fof(c_0_1369, plain, (lhs_atom53), c_0_895).+% 0.08/0.37 fof(c_0_1370, plain, (lhs_atom52), c_0_896).+% 0.08/0.37 fof(c_0_1371, plain, (lhs_atom51), c_0_897).+% 0.08/0.37 fof(c_0_1372, plain, (lhs_atom50), c_0_898).+% 0.08/0.37 fof(c_0_1373, plain, (lhs_atom49), c_0_899).+% 0.08/0.37 fof(c_0_1374, plain, (lhs_atom48), c_0_900).+% 0.08/0.37 fof(c_0_1375, plain, (lhs_atom47), c_0_901).+% 0.08/0.37 fof(c_0_1376, plain, (lhs_atom46), c_0_902).+% 0.08/0.37 fof(c_0_1377, plain, (lhs_atom45), c_0_903).+% 0.08/0.37 fof(c_0_1378, plain, (lhs_atom44), c_0_904).+% 0.08/0.37 fof(c_0_1379, plain, (lhs_atom43), c_0_905).+% 0.08/0.37 fof(c_0_1380, plain, (lhs_atom42), c_0_906).+% 0.08/0.37 fof(c_0_1381, plain, (lhs_atom41), c_0_907).+% 0.08/0.37 fof(c_0_1382, plain, (lhs_atom40), c_0_908).+% 0.08/0.37 fof(c_0_1383, plain, (lhs_atom39), c_0_909).+% 0.08/0.37 fof(c_0_1384, plain, (lhs_atom38), c_0_910).+% 0.08/0.37 fof(c_0_1385, plain, (lhs_atom37), c_0_911).+% 0.08/0.37 fof(c_0_1386, plain, (lhs_atom36), c_0_912).+% 0.08/0.37 fof(c_0_1387, plain, (lhs_atom35), c_0_913).+% 0.08/0.37 fof(c_0_1388, plain, (lhs_atom34), c_0_914).+% 0.08/0.37 fof(c_0_1389, plain, (lhs_atom33), c_0_915).+% 0.08/0.37 fof(c_0_1390, plain, (lhs_atom32), c_0_916).+% 0.08/0.37 fof(c_0_1391, plain, (lhs_atom31), c_0_917).+% 0.08/0.37 fof(c_0_1392, plain, (lhs_atom30), c_0_918).+% 0.08/0.37 fof(c_0_1393, plain, (lhs_atom29), c_0_919).+% 0.08/0.37 fof(c_0_1394, plain, (lhs_atom28), c_0_920).+% 0.08/0.37 fof(c_0_1395, plain, (lhs_atom27), c_0_921).+% 0.08/0.37 fof(c_0_1396, plain, (lhs_atom26), c_0_922).+% 0.08/0.37 fof(c_0_1397, plain, (lhs_atom25), c_0_923).+% 0.08/0.37 fof(c_0_1398, plain, (lhs_atom24), c_0_924).+% 0.08/0.37 fof(c_0_1399, plain, (lhs_atom23), c_0_925).+% 0.08/0.37 fof(c_0_1400, plain, (lhs_atom22), c_0_926).+% 0.08/0.37 fof(c_0_1401, plain, (lhs_atom21), c_0_927).+% 0.08/0.37 fof(c_0_1402, plain, (lhs_atom20), c_0_928).+% 0.08/0.37 fof(c_0_1403, plain, (lhs_atom19), c_0_929).+% 0.08/0.37 fof(c_0_1404, plain, (lhs_atom18), c_0_930).+% 0.08/0.37 fof(c_0_1405, plain, (lhs_atom17), c_0_931).+% 0.08/0.37 fof(c_0_1406, plain, (lhs_atom16), c_0_932).+% 0.08/0.37 fof(c_0_1407, plain, (lhs_atom15), c_0_933).+% 0.08/0.37 fof(c_0_1408, plain, (lhs_atom14), c_0_934).+% 0.08/0.37 fof(c_0_1409, plain, (lhs_atom13), c_0_935).+% 0.08/0.37 fof(c_0_1410, plain, (lhs_atom12), c_0_936).+% 0.08/0.37 fof(c_0_1411, plain, (lhs_atom11), c_0_937).+% 0.08/0.37 fof(c_0_1412, plain, (lhs_atom10), c_0_938).+% 0.08/0.37 fof(c_0_1413, plain, (lhs_atom9), c_0_939).+% 0.08/0.37 fof(c_0_1414, plain, (lhs_atom8), c_0_940).+% 0.08/0.37 fof(c_0_1415, plain, (lhs_atom7), c_0_941).+% 0.08/0.37 fof(c_0_1416, plain, (lhs_atom6), c_0_942).+% 0.08/0.37 fof(c_0_1417, plain, (lhs_atom5), c_0_943).+% 0.08/0.37 fof(c_0_1418, plain, (lhs_atom4), c_0_944).+% 0.08/0.37 fof(c_0_1419, plain, (lhs_atom3), c_0_945).+% 0.08/0.37 fof(c_0_1420, plain, (lhs_atom2), c_0_946).+% 0.08/0.37 fof(c_0_1421, plain, (lhs_atom1), c_0_947).+% 0.08/0.37 cnf(c_0_1422,plain,(inv(e0)=e0|lhs_atom259), inference(split_conjunct,[status(thm)],[c_0_948])).+% 0.08/0.37 cnf(c_0_1423,plain,(inv(e1)=e0|lhs_atom258), inference(split_conjunct,[status(thm)],[c_0_949])).+% 0.08/0.37 cnf(c_0_1424,plain,(inv(e2)=e0|lhs_atom257), inference(split_conjunct,[status(thm)],[c_0_950])).+% 0.08/0.37 cnf(c_0_1425,plain,(inv(e3)=e0|lhs_atom256), inference(split_conjunct,[status(thm)],[c_0_951])).+% 0.08/0.37 cnf(c_0_1426,plain,(inv(e4)=e0|lhs_atom255), inference(split_conjunct,[status(thm)],[c_0_952])).+% 0.08/0.37 cnf(c_0_1427,plain,(inv(e5)=e0|lhs_atom254), inference(split_conjunct,[status(thm)],[c_0_953])).+% 0.08/0.37 cnf(c_0_1428,plain,(inv(e0)=e1|lhs_atom253), inference(split_conjunct,[status(thm)],[c_0_954])).+% 0.08/0.37 cnf(c_0_1429,plain,(inv(e1)=e1|lhs_atom252), inference(split_conjunct,[status(thm)],[c_0_955])).+% 0.08/0.37 cnf(c_0_1430,plain,(inv(e2)=e1|lhs_atom251), inference(split_conjunct,[status(thm)],[c_0_956])).+% 0.08/0.37 cnf(c_0_1431,plain,(inv(e3)=e1|lhs_atom250), inference(split_conjunct,[status(thm)],[c_0_957])).+% 0.08/0.37 cnf(c_0_1432,plain,(inv(e4)=e1|lhs_atom249), inference(split_conjunct,[status(thm)],[c_0_958])).+% 0.08/0.37 cnf(c_0_1433,plain,(inv(e5)=e1|lhs_atom248), inference(split_conjunct,[status(thm)],[c_0_959])).+% 0.08/0.37 cnf(c_0_1434,plain,(inv(e0)=e2|lhs_atom247), inference(split_conjunct,[status(thm)],[c_0_960])).+% 0.08/0.37 cnf(c_0_1435,plain,(inv(e1)=e2|lhs_atom246), inference(split_conjunct,[status(thm)],[c_0_961])).+% 0.08/0.37 cnf(c_0_1436,plain,(inv(e2)=e2|lhs_atom245), inference(split_conjunct,[status(thm)],[c_0_962])).+% 0.08/0.37 cnf(c_0_1437,plain,(inv(e3)=e2|lhs_atom244), inference(split_conjunct,[status(thm)],[c_0_963])).+% 0.08/0.37 cnf(c_0_1438,plain,(inv(e4)=e2|lhs_atom243), inference(split_conjunct,[status(thm)],[c_0_964])).+% 0.08/0.37 cnf(c_0_1439,plain,(inv(e5)=e2|lhs_atom242), inference(split_conjunct,[status(thm)],[c_0_965])).+% 0.08/0.37 cnf(c_0_1440,plain,(inv(e0)=e3|lhs_atom241), inference(split_conjunct,[status(thm)],[c_0_966])).+% 0.08/0.37 cnf(c_0_1441,plain,(inv(e1)=e3|lhs_atom240), inference(split_conjunct,[status(thm)],[c_0_967])).+% 0.08/0.37 cnf(c_0_1442,plain,(inv(e2)=e3|lhs_atom239), inference(split_conjunct,[status(thm)],[c_0_968])).+% 0.08/0.37 cnf(c_0_1443,plain,(inv(e3)=e3|lhs_atom238), inference(split_conjunct,[status(thm)],[c_0_969])).+% 0.08/0.37 cnf(c_0_1444,plain,(inv(e4)=e3|lhs_atom237), inference(split_conjunct,[status(thm)],[c_0_970])).+% 0.08/0.37 cnf(c_0_1445,plain,(inv(e5)=e3|lhs_atom236), inference(split_conjunct,[status(thm)],[c_0_971])).+% 0.08/0.37 cnf(c_0_1446,plain,(inv(e0)=e4|lhs_atom235), inference(split_conjunct,[status(thm)],[c_0_972])).+% 0.08/0.37 cnf(c_0_1447,plain,(inv(e1)=e4|lhs_atom234), inference(split_conjunct,[status(thm)],[c_0_973])).+% 0.08/0.37 cnf(c_0_1448,plain,(inv(e2)=e4|lhs_atom233), inference(split_conjunct,[status(thm)],[c_0_974])).+% 0.08/0.37 cnf(c_0_1449,plain,(inv(e3)=e4|lhs_atom232), inference(split_conjunct,[status(thm)],[c_0_975])).+% 0.08/0.37 cnf(c_0_1450,plain,(inv(e4)=e4|lhs_atom231), inference(split_conjunct,[status(thm)],[c_0_976])).+% 0.08/0.37 cnf(c_0_1451,plain,(inv(e5)=e4|lhs_atom230), inference(split_conjunct,[status(thm)],[c_0_977])).+% 0.08/0.37 cnf(c_0_1452,plain,(inv(e0)=e5|lhs_atom229), inference(split_conjunct,[status(thm)],[c_0_978])).+% 0.08/0.37 cnf(c_0_1453,plain,(inv(e1)=e5|lhs_atom228), inference(split_conjunct,[status(thm)],[c_0_979])).+% 0.08/0.37 cnf(c_0_1454,plain,(inv(e2)=e5|lhs_atom227), inference(split_conjunct,[status(thm)],[c_0_980])).+% 0.08/0.37 cnf(c_0_1455,plain,(inv(e3)=e5|lhs_atom226), inference(split_conjunct,[status(thm)],[c_0_981])).+% 0.08/0.37 cnf(c_0_1456,plain,(inv(e4)=e5|lhs_atom225), inference(split_conjunct,[status(thm)],[c_0_982])).+% 0.08/0.37 cnf(c_0_1457,plain,(inv(e5)=e5|lhs_atom224), inference(split_conjunct,[status(thm)],[c_0_983])).+% 0.08/0.37 cnf(c_0_1458,plain,(lhs_atom474), inference(split_conjunct,[status(thm)],[c_0_984])).+% 0.08/0.37 cnf(c_0_1459,plain,(lhs_atom473), inference(split_conjunct,[status(thm)],[c_0_985])).+% 0.08/0.37 cnf(c_0_1460,plain,(lhs_atom472), inference(split_conjunct,[status(thm)],[c_0_986])).+% 0.08/0.37 cnf(c_0_1461,plain,(lhs_atom471), inference(split_conjunct,[status(thm)],[c_0_987])).+% 0.08/0.37 cnf(c_0_1462,plain,(lhs_atom470), inference(split_conjunct,[status(thm)],[c_0_988])).+% 0.08/0.37 cnf(c_0_1463,plain,(lhs_atom469), inference(split_conjunct,[status(thm)],[c_0_989])).+% 0.08/0.37 cnf(c_0_1464,plain,(lhs_atom468), inference(split_conjunct,[status(thm)],[c_0_990])).+% 0.08/0.37 cnf(c_0_1465,plain,(lhs_atom467), inference(split_conjunct,[status(thm)],[c_0_991])).+% 0.08/0.37 cnf(c_0_1466,plain,(lhs_atom466), inference(split_conjunct,[status(thm)],[c_0_992])).+% 0.08/0.37 cnf(c_0_1467,plain,(lhs_atom465), inference(split_conjunct,[status(thm)],[c_0_993])).+% 0.08/0.37 cnf(c_0_1468,plain,(lhs_atom464), inference(split_conjunct,[status(thm)],[c_0_994])).+% 0.08/0.37 cnf(c_0_1469,plain,(lhs_atom463), inference(split_conjunct,[status(thm)],[c_0_995])).+% 0.08/0.37 cnf(c_0_1470,plain,(lhs_atom462), inference(split_conjunct,[status(thm)],[c_0_996])).+% 0.08/0.37 cnf(c_0_1471,plain,(lhs_atom461), inference(split_conjunct,[status(thm)],[c_0_997])).+% 0.08/0.37 cnf(c_0_1472,plain,(lhs_atom460), inference(split_conjunct,[status(thm)],[c_0_998])).+% 0.08/0.37 cnf(c_0_1473,plain,(lhs_atom459), inference(split_conjunct,[status(thm)],[c_0_999])).+% 0.08/0.37 cnf(c_0_1474,plain,(lhs_atom458), inference(split_conjunct,[status(thm)],[c_0_1000])).+% 0.08/0.37 cnf(c_0_1475,plain,(lhs_atom457), inference(split_conjunct,[status(thm)],[c_0_1001])).+% 0.08/0.37 cnf(c_0_1476,plain,(lhs_atom456), inference(split_conjunct,[status(thm)],[c_0_1002])).+% 0.08/0.37 cnf(c_0_1477,plain,(lhs_atom455), inference(split_conjunct,[status(thm)],[c_0_1003])).+% 0.08/0.37 cnf(c_0_1478,plain,(lhs_atom454), inference(split_conjunct,[status(thm)],[c_0_1004])).+% 0.08/0.37 cnf(c_0_1479,plain,(lhs_atom453), inference(split_conjunct,[status(thm)],[c_0_1005])).+% 0.08/0.37 cnf(c_0_1480,plain,(lhs_atom452), inference(split_conjunct,[status(thm)],[c_0_1006])).+% 0.08/0.37 cnf(c_0_1481,plain,(lhs_atom451), inference(split_conjunct,[status(thm)],[c_0_1007])).+% 0.08/0.37 cnf(c_0_1482,plain,(lhs_atom450), inference(split_conjunct,[status(thm)],[c_0_1008])).+% 0.08/0.37 cnf(c_0_1483,plain,(lhs_atom449), inference(split_conjunct,[status(thm)],[c_0_1009])).+% 0.08/0.37 cnf(c_0_1484,plain,(lhs_atom448), inference(split_conjunct,[status(thm)],[c_0_1010])).+% 0.08/0.37 cnf(c_0_1485,plain,(lhs_atom447), inference(split_conjunct,[status(thm)],[c_0_1011])).+% 0.08/0.37 cnf(c_0_1486,plain,(lhs_atom446), inference(split_conjunct,[status(thm)],[c_0_1012])).+% 0.08/0.37 cnf(c_0_1487,plain,(lhs_atom445), inference(split_conjunct,[status(thm)],[c_0_1013])).+% 0.08/0.37 cnf(c_0_1488,plain,(lhs_atom444), inference(split_conjunct,[status(thm)],[c_0_1014])).+% 0.08/0.37 cnf(c_0_1489,plain,(lhs_atom443), inference(split_conjunct,[status(thm)],[c_0_1015])).+% 0.08/0.37 cnf(c_0_1490,plain,(lhs_atom442), inference(split_conjunct,[status(thm)],[c_0_1016])).+% 0.08/0.37 cnf(c_0_1491,plain,(lhs_atom441), inference(split_conjunct,[status(thm)],[c_0_1017])).+% 0.08/0.37 cnf(c_0_1492,plain,(lhs_atom440), inference(split_conjunct,[status(thm)],[c_0_1018])).+% 0.08/0.37 cnf(c_0_1493,plain,(lhs_atom439), inference(split_conjunct,[status(thm)],[c_0_1019])).+% 0.08/0.37 cnf(c_0_1494,plain,(lhs_atom438), inference(split_conjunct,[status(thm)],[c_0_1020])).+% 0.08/0.37 cnf(c_0_1495,plain,(lhs_atom437), inference(split_conjunct,[status(thm)],[c_0_1021])).+% 0.08/0.37 cnf(c_0_1496,plain,(lhs_atom436), inference(split_conjunct,[status(thm)],[c_0_1022])).+% 0.08/0.37 cnf(c_0_1497,plain,(lhs_atom435), inference(split_conjunct,[status(thm)],[c_0_1023])).+% 0.08/0.37 cnf(c_0_1498,plain,(lhs_atom434), inference(split_conjunct,[status(thm)],[c_0_1024])).+% 0.08/0.37 cnf(c_0_1499,plain,(lhs_atom433), inference(split_conjunct,[status(thm)],[c_0_1025])).+% 0.08/0.37 cnf(c_0_1500,plain,(lhs_atom432), inference(split_conjunct,[status(thm)],[c_0_1026])).+% 0.08/0.37 cnf(c_0_1501,plain,(lhs_atom431), inference(split_conjunct,[status(thm)],[c_0_1027])).+% 0.08/0.37 cnf(c_0_1502,plain,(lhs_atom430), inference(split_conjunct,[status(thm)],[c_0_1028])).+% 0.08/0.37 cnf(c_0_1503,plain,(lhs_atom429), inference(split_conjunct,[status(thm)],[c_0_1029])).+% 0.08/0.37 cnf(c_0_1504,plain,(lhs_atom428), inference(split_conjunct,[status(thm)],[c_0_1030])).+% 0.08/0.37 cnf(c_0_1505,plain,(lhs_atom427), inference(split_conjunct,[status(thm)],[c_0_1031])).+% 0.08/0.37 cnf(c_0_1506,plain,(lhs_atom426), inference(split_conjunct,[status(thm)],[c_0_1032])).+% 0.08/0.37 cnf(c_0_1507,plain,(lhs_atom425), inference(split_conjunct,[status(thm)],[c_0_1033])).+% 0.08/0.37 cnf(c_0_1508,plain,(lhs_atom424), inference(split_conjunct,[status(thm)],[c_0_1034])).+% 0.08/0.37 cnf(c_0_1509,plain,(lhs_atom423), inference(split_conjunct,[status(thm)],[c_0_1035])).+% 0.08/0.37 cnf(c_0_1510,plain,(lhs_atom422), inference(split_conjunct,[status(thm)],[c_0_1036])).+% 0.08/0.37 cnf(c_0_1511,plain,(lhs_atom421), inference(split_conjunct,[status(thm)],[c_0_1037])).+% 0.08/0.37 cnf(c_0_1512,plain,(lhs_atom420), inference(split_conjunct,[status(thm)],[c_0_1038])).+% 0.08/0.37 cnf(c_0_1513,plain,(lhs_atom419), inference(split_conjunct,[status(thm)],[c_0_1039])).+% 0.08/0.37 cnf(c_0_1514,plain,(lhs_atom418), inference(split_conjunct,[status(thm)],[c_0_1040])).+% 0.08/0.37 cnf(c_0_1515,plain,(lhs_atom417), inference(split_conjunct,[status(thm)],[c_0_1041])).+% 0.08/0.37 cnf(c_0_1516,plain,(lhs_atom416), inference(split_conjunct,[status(thm)],[c_0_1042])).+% 0.08/0.37 cnf(c_0_1517,plain,(lhs_atom415), inference(split_conjunct,[status(thm)],[c_0_1043])).+% 0.08/0.37 cnf(c_0_1518,plain,(lhs_atom414), inference(split_conjunct,[status(thm)],[c_0_1044])).+% 0.08/0.37 cnf(c_0_1519,plain,(lhs_atom413), inference(split_conjunct,[status(thm)],[c_0_1045])).+% 0.08/0.37 cnf(c_0_1520,plain,(lhs_atom412), inference(split_conjunct,[status(thm)],[c_0_1046])).+% 0.08/0.37 cnf(c_0_1521,plain,(lhs_atom411), inference(split_conjunct,[status(thm)],[c_0_1047])).+% 0.08/0.37 cnf(c_0_1522,plain,(lhs_atom410), inference(split_conjunct,[status(thm)],[c_0_1048])).+% 0.08/0.37 cnf(c_0_1523,plain,(lhs_atom409), inference(split_conjunct,[status(thm)],[c_0_1049])).+% 0.08/0.37 cnf(c_0_1524,plain,(lhs_atom408), inference(split_conjunct,[status(thm)],[c_0_1050])).+% 0.08/0.37 cnf(c_0_1525,plain,(lhs_atom407), inference(split_conjunct,[status(thm)],[c_0_1051])).+% 0.08/0.37 cnf(c_0_1526,plain,(lhs_atom406), inference(split_conjunct,[status(thm)],[c_0_1052])).+% 0.08/0.37 cnf(c_0_1527,plain,(lhs_atom405), inference(split_conjunct,[status(thm)],[c_0_1053])).+% 0.08/0.37 cnf(c_0_1528,plain,(lhs_atom404), inference(split_conjunct,[status(thm)],[c_0_1054])).+% 0.08/0.37 cnf(c_0_1529,plain,(lhs_atom403), inference(split_conjunct,[status(thm)],[c_0_1055])).+% 0.08/0.37 cnf(c_0_1530,plain,(lhs_atom402), inference(split_conjunct,[status(thm)],[c_0_1056])).+% 0.08/0.37 cnf(c_0_1531,plain,(lhs_atom401), inference(split_conjunct,[status(thm)],[c_0_1057])).+% 0.08/0.37 cnf(c_0_1532,plain,(lhs_atom400), inference(split_conjunct,[status(thm)],[c_0_1058])).+% 0.08/0.37 cnf(c_0_1533,plain,(lhs_atom399), inference(split_conjunct,[status(thm)],[c_0_1059])).+% 0.08/0.37 cnf(c_0_1534,plain,(lhs_atom398), inference(split_conjunct,[status(thm)],[c_0_1060])).+% 0.08/0.37 cnf(c_0_1535,plain,(lhs_atom397), inference(split_conjunct,[status(thm)],[c_0_1061])).+% 0.08/0.37 cnf(c_0_1536,plain,(lhs_atom396), inference(split_conjunct,[status(thm)],[c_0_1062])).+% 0.08/0.37 cnf(c_0_1537,plain,(lhs_atom395), inference(split_conjunct,[status(thm)],[c_0_1063])).+% 0.08/0.37 cnf(c_0_1538,plain,(lhs_atom394), inference(split_conjunct,[status(thm)],[c_0_1064])).+% 0.08/0.37 cnf(c_0_1539,plain,(lhs_atom393), inference(split_conjunct,[status(thm)],[c_0_1065])).+% 0.08/0.37 cnf(c_0_1540,plain,(lhs_atom392), inference(split_conjunct,[status(thm)],[c_0_1066])).+% 0.08/0.37 cnf(c_0_1541,plain,(lhs_atom391), inference(split_conjunct,[status(thm)],[c_0_1067])).+% 0.08/0.37 cnf(c_0_1542,plain,(lhs_atom390), inference(split_conjunct,[status(thm)],[c_0_1068])).+% 0.08/0.37 cnf(c_0_1543,plain,(lhs_atom389), inference(split_conjunct,[status(thm)],[c_0_1069])).+% 0.08/0.37 cnf(c_0_1544,plain,(lhs_atom388), inference(split_conjunct,[status(thm)],[c_0_1070])).+% 0.08/0.37 cnf(c_0_1545,plain,(lhs_atom387), inference(split_conjunct,[status(thm)],[c_0_1071])).+% 0.08/0.37 cnf(c_0_1546,plain,(lhs_atom386), inference(split_conjunct,[status(thm)],[c_0_1072])).+% 0.08/0.37 cnf(c_0_1547,plain,(lhs_atom385), inference(split_conjunct,[status(thm)],[c_0_1073])).+% 0.08/0.37 cnf(c_0_1548,plain,(lhs_atom384), inference(split_conjunct,[status(thm)],[c_0_1074])).+% 0.08/0.37 cnf(c_0_1549,plain,(lhs_atom383), inference(split_conjunct,[status(thm)],[c_0_1075])).+% 0.08/0.37 cnf(c_0_1550,plain,(lhs_atom382), inference(split_conjunct,[status(thm)],[c_0_1076])).+% 0.08/0.37 cnf(c_0_1551,plain,(lhs_atom381), inference(split_conjunct,[status(thm)],[c_0_1077])).+% 0.08/0.37 cnf(c_0_1552,plain,(lhs_atom380), inference(split_conjunct,[status(thm)],[c_0_1078])).+% 0.08/0.37 cnf(c_0_1553,plain,(lhs_atom379), inference(split_conjunct,[status(thm)],[c_0_1079])).+% 0.08/0.37 cnf(c_0_1554,plain,(lhs_atom378), inference(split_conjunct,[status(thm)],[c_0_1080])).+% 0.08/0.37 cnf(c_0_1555,plain,(lhs_atom377), inference(split_conjunct,[status(thm)],[c_0_1081])).+% 0.08/0.37 cnf(c_0_1556,plain,(lhs_atom376), inference(split_conjunct,[status(thm)],[c_0_1082])).+% 0.08/0.37 cnf(c_0_1557,plain,(lhs_atom375), inference(split_conjunct,[status(thm)],[c_0_1083])).+% 0.08/0.37 cnf(c_0_1558,plain,(lhs_atom374), inference(split_conjunct,[status(thm)],[c_0_1084])).+% 0.08/0.37 cnf(c_0_1559,plain,(lhs_atom373), inference(split_conjunct,[status(thm)],[c_0_1085])).+% 0.08/0.37 cnf(c_0_1560,plain,(lhs_atom372), inference(split_conjunct,[status(thm)],[c_0_1086])).+% 0.08/0.37 cnf(c_0_1561,plain,(lhs_atom371), inference(split_conjunct,[status(thm)],[c_0_1087])).+% 0.08/0.37 cnf(c_0_1562,plain,(lhs_atom370), inference(split_conjunct,[status(thm)],[c_0_1088])).+% 0.08/0.37 cnf(c_0_1563,plain,(lhs_atom369), inference(split_conjunct,[status(thm)],[c_0_1089])).+% 0.08/0.37 cnf(c_0_1564,plain,(lhs_atom368), inference(split_conjunct,[status(thm)],[c_0_1090])).+% 0.08/0.37 cnf(c_0_1565,plain,(lhs_atom367), inference(split_conjunct,[status(thm)],[c_0_1091])).+% 0.08/0.37 cnf(c_0_1566,plain,(lhs_atom366), inference(split_conjunct,[status(thm)],[c_0_1092])).+% 0.08/0.37 cnf(c_0_1567,plain,(lhs_atom365), inference(split_conjunct,[status(thm)],[c_0_1093])).+% 0.08/0.37 cnf(c_0_1568,plain,(lhs_atom364), inference(split_conjunct,[status(thm)],[c_0_1094])).+% 0.08/0.37 cnf(c_0_1569,plain,(lhs_atom363), inference(split_conjunct,[status(thm)],[c_0_1095])).+% 0.08/0.37 cnf(c_0_1570,plain,(lhs_atom362), inference(split_conjunct,[status(thm)],[c_0_1096])).+% 0.08/0.37 cnf(c_0_1571,plain,(lhs_atom361), inference(split_conjunct,[status(thm)],[c_0_1097])).+% 0.08/0.37 cnf(c_0_1572,plain,(lhs_atom360), inference(split_conjunct,[status(thm)],[c_0_1098])).+% 0.08/0.37 cnf(c_0_1573,plain,(lhs_atom359), inference(split_conjunct,[status(thm)],[c_0_1099])).+% 0.08/0.37 cnf(c_0_1574,plain,(lhs_atom358), inference(split_conjunct,[status(thm)],[c_0_1100])).+% 0.08/0.37 cnf(c_0_1575,plain,(lhs_atom357), inference(split_conjunct,[status(thm)],[c_0_1101])).+% 0.08/0.37 cnf(c_0_1576,plain,(lhs_atom356), inference(split_conjunct,[status(thm)],[c_0_1102])).+% 0.08/0.37 cnf(c_0_1577,plain,(lhs_atom355), inference(split_conjunct,[status(thm)],[c_0_1103])).+% 0.08/0.37 cnf(c_0_1578,plain,(lhs_atom354), inference(split_conjunct,[status(thm)],[c_0_1104])).+% 0.08/0.37 cnf(c_0_1579,plain,(lhs_atom353), inference(split_conjunct,[status(thm)],[c_0_1105])).+% 0.08/0.37 cnf(c_0_1580,plain,(lhs_atom352), inference(split_conjunct,[status(thm)],[c_0_1106])).+% 0.08/0.37 cnf(c_0_1581,plain,(lhs_atom351), inference(split_conjunct,[status(thm)],[c_0_1107])).+% 0.08/0.37 cnf(c_0_1582,plain,(lhs_atom350), inference(split_conjunct,[status(thm)],[c_0_1108])).+% 0.08/0.37 cnf(c_0_1583,plain,(lhs_atom349), inference(split_conjunct,[status(thm)],[c_0_1109])).+% 0.08/0.37 cnf(c_0_1584,plain,(lhs_atom348), inference(split_conjunct,[status(thm)],[c_0_1110])).+% 0.08/0.37 cnf(c_0_1585,plain,(lhs_atom347), inference(split_conjunct,[status(thm)],[c_0_1111])).+% 0.08/0.37 cnf(c_0_1586,plain,(lhs_atom346), inference(split_conjunct,[status(thm)],[c_0_1112])).+% 0.08/0.37 cnf(c_0_1587,plain,(lhs_atom345), inference(split_conjunct,[status(thm)],[c_0_1113])).+% 0.08/0.37 cnf(c_0_1588,plain,(lhs_atom344), inference(split_conjunct,[status(thm)],[c_0_1114])).+% 0.08/0.37 cnf(c_0_1589,plain,(lhs_atom343), inference(split_conjunct,[status(thm)],[c_0_1115])).+% 0.08/0.37 cnf(c_0_1590,plain,(lhs_atom342), inference(split_conjunct,[status(thm)],[c_0_1116])).+% 0.08/0.37 cnf(c_0_1591,plain,(lhs_atom341), inference(split_conjunct,[status(thm)],[c_0_1117])).+% 0.08/0.37 cnf(c_0_1592,plain,(lhs_atom340), inference(split_conjunct,[status(thm)],[c_0_1118])).+% 0.08/0.37 cnf(c_0_1593,plain,(lhs_atom339), inference(split_conjunct,[status(thm)],[c_0_1119])).+% 0.08/0.37 cnf(c_0_1594,plain,(lhs_atom338), inference(split_conjunct,[status(thm)],[c_0_1120])).+% 0.08/0.37 cnf(c_0_1595,plain,(lhs_atom337), inference(split_conjunct,[status(thm)],[c_0_1121])).+% 0.08/0.37 cnf(c_0_1596,plain,(lhs_atom336), inference(split_conjunct,[status(thm)],[c_0_1122])).+% 0.08/0.37 cnf(c_0_1597,plain,(lhs_atom335), inference(split_conjunct,[status(thm)],[c_0_1123])).+% 0.08/0.37 cnf(c_0_1598,plain,(lhs_atom334), inference(split_conjunct,[status(thm)],[c_0_1124])).+% 0.08/0.37 cnf(c_0_1599,plain,(lhs_atom333), inference(split_conjunct,[status(thm)],[c_0_1125])).+% 0.08/0.37 cnf(c_0_1600,plain,(lhs_atom332), inference(split_conjunct,[status(thm)],[c_0_1126])).+% 0.08/0.37 cnf(c_0_1601,plain,(lhs_atom331), inference(split_conjunct,[status(thm)],[c_0_1127])).+% 0.08/0.37 cnf(c_0_1602,plain,(lhs_atom330), inference(split_conjunct,[status(thm)],[c_0_1128])).+% 0.08/0.37 cnf(c_0_1603,plain,(lhs_atom329), inference(split_conjunct,[status(thm)],[c_0_1129])).+% 0.08/0.37 cnf(c_0_1604,plain,(lhs_atom328), inference(split_conjunct,[status(thm)],[c_0_1130])).+% 0.08/0.37 cnf(c_0_1605,plain,(lhs_atom327), inference(split_conjunct,[status(thm)],[c_0_1131])).+% 0.08/0.37 cnf(c_0_1606,plain,(lhs_atom326), inference(split_conjunct,[status(thm)],[c_0_1132])).+% 0.08/0.37 cnf(c_0_1607,plain,(lhs_atom325), inference(split_conjunct,[status(thm)],[c_0_1133])).+% 0.08/0.37 cnf(c_0_1608,plain,(lhs_atom324), inference(split_conjunct,[status(thm)],[c_0_1134])).+% 0.08/0.37 cnf(c_0_1609,plain,(lhs_atom323), inference(split_conjunct,[status(thm)],[c_0_1135])).+% 0.08/0.37 cnf(c_0_1610,plain,(lhs_atom322), inference(split_conjunct,[status(thm)],[c_0_1136])).+% 0.08/0.37 cnf(c_0_1611,plain,(lhs_atom321), inference(split_conjunct,[status(thm)],[c_0_1137])).+% 0.08/0.37 cnf(c_0_1612,plain,(lhs_atom320), inference(split_conjunct,[status(thm)],[c_0_1138])).+% 0.08/0.37 cnf(c_0_1613,plain,(lhs_atom319), inference(split_conjunct,[status(thm)],[c_0_1139])).+% 0.08/0.37 cnf(c_0_1614,plain,(lhs_atom318), inference(split_conjunct,[status(thm)],[c_0_1140])).+% 0.08/0.37 cnf(c_0_1615,plain,(lhs_atom317), inference(split_conjunct,[status(thm)],[c_0_1141])).+% 0.08/0.37 cnf(c_0_1616,plain,(lhs_atom316), inference(split_conjunct,[status(thm)],[c_0_1142])).+% 0.08/0.37 cnf(c_0_1617,plain,(lhs_atom315), inference(split_conjunct,[status(thm)],[c_0_1143])).+% 0.08/0.37 cnf(c_0_1618,plain,(lhs_atom314), inference(split_conjunct,[status(thm)],[c_0_1144])).+% 0.08/0.37 cnf(c_0_1619,plain,(lhs_atom313), inference(split_conjunct,[status(thm)],[c_0_1145])).+% 0.08/0.37 cnf(c_0_1620,plain,(lhs_atom312), inference(split_conjunct,[status(thm)],[c_0_1146])).+% 0.08/0.37 cnf(c_0_1621,plain,(lhs_atom311), inference(split_conjunct,[status(thm)],[c_0_1147])).+% 0.08/0.37 cnf(c_0_1622,plain,(lhs_atom310), inference(split_conjunct,[status(thm)],[c_0_1148])).+% 0.08/0.37 cnf(c_0_1623,plain,(lhs_atom309), inference(split_conjunct,[status(thm)],[c_0_1149])).+% 0.08/0.37 cnf(c_0_1624,plain,(lhs_atom308), inference(split_conjunct,[status(thm)],[c_0_1150])).+% 0.08/0.37 cnf(c_0_1625,plain,(lhs_atom307), inference(split_conjunct,[status(thm)],[c_0_1151])).+% 0.08/0.37 cnf(c_0_1626,plain,(lhs_atom306), inference(split_conjunct,[status(thm)],[c_0_1152])).+% 0.08/0.37 cnf(c_0_1627,plain,(lhs_atom305), inference(split_conjunct,[status(thm)],[c_0_1153])).+% 0.08/0.37 cnf(c_0_1628,plain,(lhs_atom304), inference(split_conjunct,[status(thm)],[c_0_1154])).+% 0.08/0.37 cnf(c_0_1629,plain,(lhs_atom303), inference(split_conjunct,[status(thm)],[c_0_1155])).+% 0.08/0.37 cnf(c_0_1630,plain,(lhs_atom302), inference(split_conjunct,[status(thm)],[c_0_1156])).+% 0.08/0.37 cnf(c_0_1631,plain,(lhs_atom301), inference(split_conjunct,[status(thm)],[c_0_1157])).+% 0.08/0.37 cnf(c_0_1632,plain,(lhs_atom300), inference(split_conjunct,[status(thm)],[c_0_1158])).+% 0.08/0.37 cnf(c_0_1633,plain,(lhs_atom299), inference(split_conjunct,[status(thm)],[c_0_1159])).+% 0.08/0.37 cnf(c_0_1634,plain,(lhs_atom298), inference(split_conjunct,[status(thm)],[c_0_1160])).+% 0.08/0.37 cnf(c_0_1635,plain,(lhs_atom297), inference(split_conjunct,[status(thm)],[c_0_1161])).+% 0.08/0.37 cnf(c_0_1636,plain,(lhs_atom296), inference(split_conjunct,[status(thm)],[c_0_1162])).+% 0.08/0.37 cnf(c_0_1637,plain,(lhs_atom295), inference(split_conjunct,[status(thm)],[c_0_1163])).+% 0.08/0.37 cnf(c_0_1638,plain,(lhs_atom294), inference(split_conjunct,[status(thm)],[c_0_1164])).+% 0.08/0.37 cnf(c_0_1639,plain,(lhs_atom293), inference(split_conjunct,[status(thm)],[c_0_1165])).+% 0.08/0.37 cnf(c_0_1640,plain,(lhs_atom292), inference(split_conjunct,[status(thm)],[c_0_1166])).+% 0.08/0.37 cnf(c_0_1641,plain,(lhs_atom291), inference(split_conjunct,[status(thm)],[c_0_1167])).+% 0.08/0.37 cnf(c_0_1642,plain,(lhs_atom290), inference(split_conjunct,[status(thm)],[c_0_1168])).+% 0.08/0.37 cnf(c_0_1643,plain,(lhs_atom289), inference(split_conjunct,[status(thm)],[c_0_1169])).+% 0.08/0.37 cnf(c_0_1644,plain,(lhs_atom288), inference(split_conjunct,[status(thm)],[c_0_1170])).+% 0.08/0.37 cnf(c_0_1645,plain,(lhs_atom287), inference(split_conjunct,[status(thm)],[c_0_1171])).+% 0.08/0.37 cnf(c_0_1646,plain,(lhs_atom286), inference(split_conjunct,[status(thm)],[c_0_1172])).+% 0.08/0.37 cnf(c_0_1647,plain,(lhs_atom285), inference(split_conjunct,[status(thm)],[c_0_1173])).+% 0.08/0.37 cnf(c_0_1648,plain,(lhs_atom284), inference(split_conjunct,[status(thm)],[c_0_1174])).+% 0.08/0.37 cnf(c_0_1649,plain,(lhs_atom283), inference(split_conjunct,[status(thm)],[c_0_1175])).+% 0.08/0.37 cnf(c_0_1650,plain,(lhs_atom282), inference(split_conjunct,[status(thm)],[c_0_1176])).+% 0.08/0.37 cnf(c_0_1651,plain,(lhs_atom281), inference(split_conjunct,[status(thm)],[c_0_1177])).+% 0.08/0.37 cnf(c_0_1652,plain,(lhs_atom280), inference(split_conjunct,[status(thm)],[c_0_1178])).+% 0.08/0.37 cnf(c_0_1653,plain,(lhs_atom279), inference(split_conjunct,[status(thm)],[c_0_1179])).+% 0.08/0.37 cnf(c_0_1654,plain,(lhs_atom278), inference(split_conjunct,[status(thm)],[c_0_1180])).+% 0.08/0.37 cnf(c_0_1655,plain,(lhs_atom277), inference(split_conjunct,[status(thm)],[c_0_1181])).+% 0.08/0.37 cnf(c_0_1656,plain,(lhs_atom276), inference(split_conjunct,[status(thm)],[c_0_1182])).+% 0.08/0.37 cnf(c_0_1657,plain,(lhs_atom275), inference(split_conjunct,[status(thm)],[c_0_1183])).+% 0.08/0.37 cnf(c_0_1658,plain,(lhs_atom274), inference(split_conjunct,[status(thm)],[c_0_1184])).+% 0.08/0.37 cnf(c_0_1659,plain,(lhs_atom273), inference(split_conjunct,[status(thm)],[c_0_1185])).+% 0.08/0.37 cnf(c_0_1660,plain,(lhs_atom272), inference(split_conjunct,[status(thm)],[c_0_1186])).+% 0.08/0.37 cnf(c_0_1661,plain,(lhs_atom271), inference(split_conjunct,[status(thm)],[c_0_1187])).+% 0.08/0.37 cnf(c_0_1662,plain,(lhs_atom270), inference(split_conjunct,[status(thm)],[c_0_1188])).+% 0.08/0.37 cnf(c_0_1663,plain,(lhs_atom269), inference(split_conjunct,[status(thm)],[c_0_1189])).+% 0.08/0.37 cnf(c_0_1664,plain,(lhs_atom268), inference(split_conjunct,[status(thm)],[c_0_1190])).+% 0.08/0.37 cnf(c_0_1665,plain,(lhs_atom267), inference(split_conjunct,[status(thm)],[c_0_1191])).+% 0.08/0.37 cnf(c_0_1666,plain,(lhs_atom266), inference(split_conjunct,[status(thm)],[c_0_1192])).+% 0.08/0.37 cnf(c_0_1667,plain,(lhs_atom265), inference(split_conjunct,[status(thm)],[c_0_1193])).+% 0.08/0.37 cnf(c_0_1668,plain,(lhs_atom264), inference(split_conjunct,[status(thm)],[c_0_1194])).+% 0.08/0.37 cnf(c_0_1669,plain,(lhs_atom263), inference(split_conjunct,[status(thm)],[c_0_1195])).+% 0.08/0.37 cnf(c_0_1670,plain,(lhs_atom262), inference(split_conjunct,[status(thm)],[c_0_1196])).+% 0.08/0.37 cnf(c_0_1671,plain,(lhs_atom261), inference(split_conjunct,[status(thm)],[c_0_1197])).+% 0.08/0.37 cnf(c_0_1672,plain,(lhs_atom260), inference(split_conjunct,[status(thm)],[c_0_1198])).+% 0.08/0.37 cnf(c_0_1673,plain,(lhs_atom223), inference(split_conjunct,[status(thm)],[c_0_1199])).+% 0.08/0.37 cnf(c_0_1674,plain,(lhs_atom222), inference(split_conjunct,[status(thm)],[c_0_1200])).+% 0.08/0.37 cnf(c_0_1675,plain,(lhs_atom221), inference(split_conjunct,[status(thm)],[c_0_1201])).+% 0.08/0.37 cnf(c_0_1676,plain,(lhs_atom220), inference(split_conjunct,[status(thm)],[c_0_1202])).+% 0.08/0.37 cnf(c_0_1677,plain,(lhs_atom219), inference(split_conjunct,[status(thm)],[c_0_1203])).+% 0.08/0.37 cnf(c_0_1678,plain,(lhs_atom218), inference(split_conjunct,[status(thm)],[c_0_1204])).+% 0.08/0.37 cnf(c_0_1679,plain,(lhs_atom217), inference(split_conjunct,[status(thm)],[c_0_1205])).+% 0.08/0.37 cnf(c_0_1680,plain,(lhs_atom216), inference(split_conjunct,[status(thm)],[c_0_1206])).+% 0.08/0.37 cnf(c_0_1681,plain,(lhs_atom215), inference(split_conjunct,[status(thm)],[c_0_1207])).+% 0.08/0.37 cnf(c_0_1682,plain,(lhs_atom214), inference(split_conjunct,[status(thm)],[c_0_1208])).+% 0.08/0.37 cnf(c_0_1683,plain,(lhs_atom213), inference(split_conjunct,[status(thm)],[c_0_1209])).+% 0.08/0.37 cnf(c_0_1684,plain,(lhs_atom212), inference(split_conjunct,[status(thm)],[c_0_1210])).+% 0.08/0.37 cnf(c_0_1685,plain,(lhs_atom211), inference(split_conjunct,[status(thm)],[c_0_1211])).+% 0.08/0.37 cnf(c_0_1686,plain,(lhs_atom210), inference(split_conjunct,[status(thm)],[c_0_1212])).+% 0.08/0.37 cnf(c_0_1687,plain,(lhs_atom209), inference(split_conjunct,[status(thm)],[c_0_1213])).+% 0.08/0.37 cnf(c_0_1688,plain,(lhs_atom208), inference(split_conjunct,[status(thm)],[c_0_1214])).+% 0.08/0.37 cnf(c_0_1689,plain,(lhs_atom207), inference(split_conjunct,[status(thm)],[c_0_1215])).+% 0.08/0.37 cnf(c_0_1690,plain,(lhs_atom206), inference(split_conjunct,[status(thm)],[c_0_1216])).+% 0.08/0.37 cnf(c_0_1691,plain,(lhs_atom205), inference(split_conjunct,[status(thm)],[c_0_1217])).+% 0.08/0.37 cnf(c_0_1692,plain,(lhs_atom204), inference(split_conjunct,[status(thm)],[c_0_1218])).+% 0.08/0.37 cnf(c_0_1693,plain,(lhs_atom203), inference(split_conjunct,[status(thm)],[c_0_1219])).+% 0.08/0.37 cnf(c_0_1694,plain,(lhs_atom202), inference(split_conjunct,[status(thm)],[c_0_1220])).+% 0.08/0.37 cnf(c_0_1695,plain,(lhs_atom201), inference(split_conjunct,[status(thm)],[c_0_1221])).+% 0.08/0.37 cnf(c_0_1696,plain,(lhs_atom200), inference(split_conjunct,[status(thm)],[c_0_1222])).+% 0.08/0.37 cnf(c_0_1697,plain,(lhs_atom199), inference(split_conjunct,[status(thm)],[c_0_1223])).+% 0.08/0.37 cnf(c_0_1698,plain,(lhs_atom198), inference(split_conjunct,[status(thm)],[c_0_1224])).+% 0.08/0.37 cnf(c_0_1699,plain,(lhs_atom197), inference(split_conjunct,[status(thm)],[c_0_1225])).+% 0.08/0.37 cnf(c_0_1700,plain,(lhs_atom196), inference(split_conjunct,[status(thm)],[c_0_1226])).+% 0.08/0.37 cnf(c_0_1701,plain,(lhs_atom195), inference(split_conjunct,[status(thm)],[c_0_1227])).+% 0.08/0.37 cnf(c_0_1702,plain,(lhs_atom194), inference(split_conjunct,[status(thm)],[c_0_1228])).+% 0.08/0.37 cnf(c_0_1703,plain,(lhs_atom193), inference(split_conjunct,[status(thm)],[c_0_1229])).+% 0.08/0.37 cnf(c_0_1704,plain,(lhs_atom192), inference(split_conjunct,[status(thm)],[c_0_1230])).+% 0.08/0.37 cnf(c_0_1705,plain,(lhs_atom191), inference(split_conjunct,[status(thm)],[c_0_1231])).+% 0.08/0.37 cnf(c_0_1706,plain,(lhs_atom190), inference(split_conjunct,[status(thm)],[c_0_1232])).+% 0.08/0.37 cnf(c_0_1707,plain,(lhs_atom189), inference(split_conjunct,[status(thm)],[c_0_1233])).+% 0.08/0.37 cnf(c_0_1708,plain,(lhs_atom188), inference(split_conjunct,[status(thm)],[c_0_1234])).+% 0.08/0.37 cnf(c_0_1709,plain,(lhs_atom187), inference(split_conjunct,[status(thm)],[c_0_1235])).+% 0.08/0.37 cnf(c_0_1710,plain,(lhs_atom186), inference(split_conjunct,[status(thm)],[c_0_1236])).+% 0.08/0.37 cnf(c_0_1711,plain,(lhs_atom185), inference(split_conjunct,[status(thm)],[c_0_1237])).+% 0.08/0.37 cnf(c_0_1712,plain,(lhs_atom184), inference(split_conjunct,[status(thm)],[c_0_1238])).+% 0.08/0.37 cnf(c_0_1713,plain,(lhs_atom183), inference(split_conjunct,[status(thm)],[c_0_1239])).+% 0.08/0.37 cnf(c_0_1714,plain,(lhs_atom182), inference(split_conjunct,[status(thm)],[c_0_1240])).+% 0.08/0.37 cnf(c_0_1715,plain,(lhs_atom181), inference(split_conjunct,[status(thm)],[c_0_1241])).+% 0.08/0.37 cnf(c_0_1716,plain,(lhs_atom180), inference(split_conjunct,[status(thm)],[c_0_1242])).+% 0.08/0.37 cnf(c_0_1717,plain,(lhs_atom179), inference(split_conjunct,[status(thm)],[c_0_1243])).+% 0.08/0.37 cnf(c_0_1718,plain,(lhs_atom178), inference(split_conjunct,[status(thm)],[c_0_1244])).+% 0.08/0.37 cnf(c_0_1719,plain,(lhs_atom177), inference(split_conjunct,[status(thm)],[c_0_1245])).+% 0.08/0.37 cnf(c_0_1720,plain,(lhs_atom176), inference(split_conjunct,[status(thm)],[c_0_1246])).+% 0.08/0.37 cnf(c_0_1721,plain,(lhs_atom175), inference(split_conjunct,[status(thm)],[c_0_1247])).+% 0.08/0.37 cnf(c_0_1722,plain,(lhs_atom174), inference(split_conjunct,[status(thm)],[c_0_1248])).+% 0.08/0.37 cnf(c_0_1723,plain,(lhs_atom173), inference(split_conjunct,[status(thm)],[c_0_1249])).+% 0.08/0.37 cnf(c_0_1724,plain,(lhs_atom172), inference(split_conjunct,[status(thm)],[c_0_1250])).+% 0.08/0.37 cnf(c_0_1725,plain,(lhs_atom171), inference(split_conjunct,[status(thm)],[c_0_1251])).+% 0.08/0.37 cnf(c_0_1726,plain,(lhs_atom170), inference(split_conjunct,[status(thm)],[c_0_1252])).+% 0.08/0.37 cnf(c_0_1727,plain,(lhs_atom169), inference(split_conjunct,[status(thm)],[c_0_1253])).+% 0.08/0.37 cnf(c_0_1728,plain,(lhs_atom168), inference(split_conjunct,[status(thm)],[c_0_1254])).+% 0.08/0.37 cnf(c_0_1729,plain,(lhs_atom167), inference(split_conjunct,[status(thm)],[c_0_1255])).+% 0.08/0.37 cnf(c_0_1730,plain,(lhs_atom166), inference(split_conjunct,[status(thm)],[c_0_1256])).+% 0.08/0.37 cnf(c_0_1731,plain,(lhs_atom165), inference(split_conjunct,[status(thm)],[c_0_1257])).+% 0.08/0.37 cnf(c_0_1732,plain,(lhs_atom164), inference(split_conjunct,[status(thm)],[c_0_1258])).+% 0.08/0.37 cnf(c_0_1733,plain,(lhs_atom163), inference(split_conjunct,[status(thm)],[c_0_1259])).+% 0.08/0.37 cnf(c_0_1734,plain,(lhs_atom162), inference(split_conjunct,[status(thm)],[c_0_1260])).+% 0.08/0.37 cnf(c_0_1735,plain,(lhs_atom161), inference(split_conjunct,[status(thm)],[c_0_1261])).+% 0.08/0.37 cnf(c_0_1736,plain,(lhs_atom160), inference(split_conjunct,[status(thm)],[c_0_1262])).+% 0.08/0.37 cnf(c_0_1737,plain,(lhs_atom159), inference(split_conjunct,[status(thm)],[c_0_1263])).+% 0.08/0.37 cnf(c_0_1738,plain,(lhs_atom158), inference(split_conjunct,[status(thm)],[c_0_1264])).+% 0.08/0.37 cnf(c_0_1739,plain,(lhs_atom157), inference(split_conjunct,[status(thm)],[c_0_1265])).+% 0.08/0.37 cnf(c_0_1740,plain,(lhs_atom156), inference(split_conjunct,[status(thm)],[c_0_1266])).+% 0.08/0.37 cnf(c_0_1741,plain,(lhs_atom155), inference(split_conjunct,[status(thm)],[c_0_1267])).+% 0.08/0.37 cnf(c_0_1742,plain,(lhs_atom154), inference(split_conjunct,[status(thm)],[c_0_1268])).+% 0.08/0.37 cnf(c_0_1743,plain,(lhs_atom153), inference(split_conjunct,[status(thm)],[c_0_1269])).+% 0.08/0.37 cnf(c_0_1744,plain,(lhs_atom152), inference(split_conjunct,[status(thm)],[c_0_1270])).+% 0.08/0.37 cnf(c_0_1745,plain,(lhs_atom151), inference(split_conjunct,[status(thm)],[c_0_1271])).+% 0.08/0.37 cnf(c_0_1746,plain,(lhs_atom150), inference(split_conjunct,[status(thm)],[c_0_1272])).+% 0.08/0.37 cnf(c_0_1747,plain,(lhs_atom149), inference(split_conjunct,[status(thm)],[c_0_1273])).+% 0.08/0.37 cnf(c_0_1748,plain,(lhs_atom148), inference(split_conjunct,[status(thm)],[c_0_1274])).+% 0.08/0.37 cnf(c_0_1749,plain,(lhs_atom147), inference(split_conjunct,[status(thm)],[c_0_1275])).+% 0.08/0.37 cnf(c_0_1750,plain,(lhs_atom146), inference(split_conjunct,[status(thm)],[c_0_1276])).+% 0.08/0.37 cnf(c_0_1751,plain,(lhs_atom145), inference(split_conjunct,[status(thm)],[c_0_1277])).+% 0.08/0.37 cnf(c_0_1752,plain,(lhs_atom144), inference(split_conjunct,[status(thm)],[c_0_1278])).+% 0.08/0.37 cnf(c_0_1753,plain,(lhs_atom143), inference(split_conjunct,[status(thm)],[c_0_1279])).+% 0.08/0.37 cnf(c_0_1754,plain,(lhs_atom142), inference(split_conjunct,[status(thm)],[c_0_1280])).+% 0.08/0.37 cnf(c_0_1755,plain,(lhs_atom141), inference(split_conjunct,[status(thm)],[c_0_1281])).+% 0.08/0.37 cnf(c_0_1756,plain,(lhs_atom140), inference(split_conjunct,[status(thm)],[c_0_1282])).+% 0.08/0.37 cnf(c_0_1757,plain,(lhs_atom139), inference(split_conjunct,[status(thm)],[c_0_1283])).+% 0.08/0.37 cnf(c_0_1758,plain,(lhs_atom138), inference(split_conjunct,[status(thm)],[c_0_1284])).+% 0.08/0.37 cnf(c_0_1759,plain,(lhs_atom137), inference(split_conjunct,[status(thm)],[c_0_1285])).+% 0.08/0.37 cnf(c_0_1760,plain,(lhs_atom136), inference(split_conjunct,[status(thm)],[c_0_1286])).+% 0.08/0.37 cnf(c_0_1761,plain,(lhs_atom135), inference(split_conjunct,[status(thm)],[c_0_1287])).+% 0.08/0.37 cnf(c_0_1762,plain,(lhs_atom134), inference(split_conjunct,[status(thm)],[c_0_1288])).+% 0.08/0.37 cnf(c_0_1763,plain,(lhs_atom133), inference(split_conjunct,[status(thm)],[c_0_1289])).+% 0.08/0.37 cnf(c_0_1764,plain,(lhs_atom132), inference(split_conjunct,[status(thm)],[c_0_1290])).+% 0.08/0.37 cnf(c_0_1765,plain,(lhs_atom131), inference(split_conjunct,[status(thm)],[c_0_1291])).+% 0.08/0.37 cnf(c_0_1766,plain,(lhs_atom130), inference(split_conjunct,[status(thm)],[c_0_1292])).+% 0.08/0.37 cnf(c_0_1767,plain,(lhs_atom129), inference(split_conjunct,[status(thm)],[c_0_1293])).+% 0.08/0.37 cnf(c_0_1768,plain,(lhs_atom128), inference(split_conjunct,[status(thm)],[c_0_1294])).+% 0.08/0.37 cnf(c_0_1769,plain,(lhs_atom127), inference(split_conjunct,[status(thm)],[c_0_1295])).+% 0.08/0.37 cnf(c_0_1770,plain,(lhs_atom126), inference(split_conjunct,[status(thm)],[c_0_1296])).+% 0.08/0.37 cnf(c_0_1771,plain,(lhs_atom125), inference(split_conjunct,[status(thm)],[c_0_1297])).+% 0.08/0.37 cnf(c_0_1772,plain,(lhs_atom124), inference(split_conjunct,[status(thm)],[c_0_1298])).+% 0.08/0.37 cnf(c_0_1773,plain,(lhs_atom123), inference(split_conjunct,[status(thm)],[c_0_1299])).+% 0.08/0.37 cnf(c_0_1774,plain,(lhs_atom122), inference(split_conjunct,[status(thm)],[c_0_1300])).+% 0.08/0.37 cnf(c_0_1775,plain,(lhs_atom121), inference(split_conjunct,[status(thm)],[c_0_1301])).+% 0.08/0.37 cnf(c_0_1776,plain,(lhs_atom120), inference(split_conjunct,[status(thm)],[c_0_1302])).+% 0.08/0.37 cnf(c_0_1777,plain,(lhs_atom119), inference(split_conjunct,[status(thm)],[c_0_1303])).+% 0.08/0.37 cnf(c_0_1778,plain,(lhs_atom118), inference(split_conjunct,[status(thm)],[c_0_1304])).+% 0.08/0.37 cnf(c_0_1779,plain,(lhs_atom117), inference(split_conjunct,[status(thm)],[c_0_1305])).+% 0.08/0.37 cnf(c_0_1780,plain,(lhs_atom116), inference(split_conjunct,[status(thm)],[c_0_1306])).+% 0.08/0.37 cnf(c_0_1781,plain,(lhs_atom115), inference(split_conjunct,[status(thm)],[c_0_1307])).+% 0.08/0.37 cnf(c_0_1782,plain,(lhs_atom114), inference(split_conjunct,[status(thm)],[c_0_1308])).+% 0.08/0.37 cnf(c_0_1783,plain,(lhs_atom113), inference(split_conjunct,[status(thm)],[c_0_1309])).+% 0.08/0.37 cnf(c_0_1784,plain,(lhs_atom112), inference(split_conjunct,[status(thm)],[c_0_1310])).+% 0.08/0.37 cnf(c_0_1785,plain,(lhs_atom111), inference(split_conjunct,[status(thm)],[c_0_1311])).+% 0.08/0.37 cnf(c_0_1786,plain,(lhs_atom110), inference(split_conjunct,[status(thm)],[c_0_1312])).+% 0.08/0.37 cnf(c_0_1787,plain,(lhs_atom109), inference(split_conjunct,[status(thm)],[c_0_1313])).+% 0.08/0.37 cnf(c_0_1788,plain,(lhs_atom108), inference(split_conjunct,[status(thm)],[c_0_1314])).+% 0.08/0.37 cnf(c_0_1789,plain,(lhs_atom107), inference(split_conjunct,[status(thm)],[c_0_1315])).+% 0.08/0.37 cnf(c_0_1790,plain,(lhs_atom106), inference(split_conjunct,[status(thm)],[c_0_1316])).+% 0.08/0.37 cnf(c_0_1791,plain,(lhs_atom105), inference(split_conjunct,[status(thm)],[c_0_1317])).+% 0.08/0.37 cnf(c_0_1792,plain,(lhs_atom104), inference(split_conjunct,[status(thm)],[c_0_1318])).+% 0.08/0.37 cnf(c_0_1793,plain,(lhs_atom103), inference(split_conjunct,[status(thm)],[c_0_1319])).+% 0.08/0.37 cnf(c_0_1794,plain,(lhs_atom102), inference(split_conjunct,[status(thm)],[c_0_1320])).+% 0.08/0.37 cnf(c_0_1795,plain,(lhs_atom101), inference(split_conjunct,[status(thm)],[c_0_1321])).+% 0.08/0.37 cnf(c_0_1796,plain,(lhs_atom100), inference(split_conjunct,[status(thm)],[c_0_1322])).+% 0.08/0.37 cnf(c_0_1797,plain,(lhs_atom99), inference(split_conjunct,[status(thm)],[c_0_1323])).+% 0.08/0.37 cnf(c_0_1798,plain,(lhs_atom98), inference(split_conjunct,[status(thm)],[c_0_1324])).+% 0.08/0.37 cnf(c_0_1799,plain,(lhs_atom97), inference(split_conjunct,[status(thm)],[c_0_1325])).+% 0.08/0.37 cnf(c_0_1800,plain,(lhs_atom96), inference(split_conjunct,[status(thm)],[c_0_1326])).+% 0.08/0.37 cnf(c_0_1801,plain,(lhs_atom95), inference(split_conjunct,[status(thm)],[c_0_1327])).+% 0.08/0.37 cnf(c_0_1802,plain,(lhs_atom94), inference(split_conjunct,[status(thm)],[c_0_1328])).+% 0.08/0.37 cnf(c_0_1803,plain,(lhs_atom93), inference(split_conjunct,[status(thm)],[c_0_1329])).+% 0.08/0.37 cnf(c_0_1804,plain,(lhs_atom92), inference(split_conjunct,[status(thm)],[c_0_1330])).+% 0.08/0.37 cnf(c_0_1805,plain,(lhs_atom91), inference(split_conjunct,[status(thm)],[c_0_1331])).+% 0.08/0.37 cnf(c_0_1806,plain,(lhs_atom90), inference(split_conjunct,[status(thm)],[c_0_1332])).+% 0.08/0.37 cnf(c_0_1807,plain,(lhs_atom89), inference(split_conjunct,[status(thm)],[c_0_1333])).+% 0.08/0.37 cnf(c_0_1808,plain,(lhs_atom88), inference(split_conjunct,[status(thm)],[c_0_1334])).+% 0.08/0.37 cnf(c_0_1809,plain,(lhs_atom87), inference(split_conjunct,[status(thm)],[c_0_1335])).+% 0.08/0.37 cnf(c_0_1810,plain,(lhs_atom86), inference(split_conjunct,[status(thm)],[c_0_1336])).+% 0.08/0.37 cnf(c_0_1811,plain,(lhs_atom85), inference(split_conjunct,[status(thm)],[c_0_1337])).+% 0.08/0.37 cnf(c_0_1812,plain,(lhs_atom84), inference(split_conjunct,[status(thm)],[c_0_1338])).+% 0.08/0.37 cnf(c_0_1813,plain,(lhs_atom83), inference(split_conjunct,[status(thm)],[c_0_1339])).+% 0.08/0.37 cnf(c_0_1814,plain,(lhs_atom82), inference(split_conjunct,[status(thm)],[c_0_1340])).+% 0.08/0.37 cnf(c_0_1815,plain,(lhs_atom81), inference(split_conjunct,[status(thm)],[c_0_1341])).+% 0.08/0.37 cnf(c_0_1816,plain,(lhs_atom80), inference(split_conjunct,[status(thm)],[c_0_1342])).+% 0.08/0.37 cnf(c_0_1817,plain,(lhs_atom79), inference(split_conjunct,[status(thm)],[c_0_1343])).+% 0.08/0.37 cnf(c_0_1818,plain,(lhs_atom78), inference(split_conjunct,[status(thm)],[c_0_1344])).+% 0.08/0.37 cnf(c_0_1819,plain,(lhs_atom77), inference(split_conjunct,[status(thm)],[c_0_1345])).+% 0.08/0.37 cnf(c_0_1820,plain,(lhs_atom76), inference(split_conjunct,[status(thm)],[c_0_1346])).+% 0.08/0.37 cnf(c_0_1821,plain,(lhs_atom75), inference(split_conjunct,[status(thm)],[c_0_1347])).+% 0.08/0.37 cnf(c_0_1822,plain,(lhs_atom74), inference(split_conjunct,[status(thm)],[c_0_1348])).+% 0.08/0.37 cnf(c_0_1823,plain,(lhs_atom73), inference(split_conjunct,[status(thm)],[c_0_1349])).+% 0.08/0.37 cnf(c_0_1824,plain,(lhs_atom72), inference(split_conjunct,[status(thm)],[c_0_1350])).+% 0.08/0.37 cnf(c_0_1825,plain,(lhs_atom71), inference(split_conjunct,[status(thm)],[c_0_1351])).+% 0.08/0.37 cnf(c_0_1826,plain,(lhs_atom70), inference(split_conjunct,[status(thm)],[c_0_1352])).+% 0.08/0.37 cnf(c_0_1827,plain,(lhs_atom69), inference(split_conjunct,[status(thm)],[c_0_1353])).+% 0.08/0.37 cnf(c_0_1828,plain,(lhs_atom68), inference(split_conjunct,[status(thm)],[c_0_1354])).+% 0.08/0.37 cnf(c_0_1829,plain,(lhs_atom67), inference(split_conjunct,[status(thm)],[c_0_1355])).+% 0.08/0.37 cnf(c_0_1830,plain,(lhs_atom66), inference(split_conjunct,[status(thm)],[c_0_1356])).+% 0.08/0.37 cnf(c_0_1831,plain,(lhs_atom65), inference(split_conjunct,[status(thm)],[c_0_1357])).+% 0.08/0.37 cnf(c_0_1832,plain,(lhs_atom64), inference(split_conjunct,[status(thm)],[c_0_1358])).+% 0.08/0.37 cnf(c_0_1833,plain,(lhs_atom63), inference(split_conjunct,[status(thm)],[c_0_1359])).+% 0.08/0.37 cnf(c_0_1834,plain,(lhs_atom62), inference(split_conjunct,[status(thm)],[c_0_1360])).+% 0.08/0.37 cnf(c_0_1835,plain,(lhs_atom61), inference(split_conjunct,[status(thm)],[c_0_1361])).+% 0.08/0.37 cnf(c_0_1836,plain,(lhs_atom60), inference(split_conjunct,[status(thm)],[c_0_1362])).+% 0.08/0.37 cnf(c_0_1837,plain,(lhs_atom59), inference(split_conjunct,[status(thm)],[c_0_1363])).+% 0.08/0.37 cnf(c_0_1838,plain,(lhs_atom58), inference(split_conjunct,[status(thm)],[c_0_1364])).+% 0.08/0.37 cnf(c_0_1839,plain,(lhs_atom57), inference(split_conjunct,[status(thm)],[c_0_1365])).+% 0.08/0.37 cnf(c_0_1840,plain,(lhs_atom56), inference(split_conjunct,[status(thm)],[c_0_1366])).+% 0.08/0.37 cnf(c_0_1841,plain,(lhs_atom55), inference(split_conjunct,[status(thm)],[c_0_1367])).+% 0.08/0.37 cnf(c_0_1842,plain,(lhs_atom54), inference(split_conjunct,[status(thm)],[c_0_1368])).+% 0.08/0.37 cnf(c_0_1843,plain,(lhs_atom53), inference(split_conjunct,[status(thm)],[c_0_1369])).+% 0.08/0.37 cnf(c_0_1844,plain,(lhs_atom52), inference(split_conjunct,[status(thm)],[c_0_1370])).+% 0.08/0.37 cnf(c_0_1845,plain,(lhs_atom51), inference(split_conjunct,[status(thm)],[c_0_1371])).+% 0.08/0.37 cnf(c_0_1846,plain,(lhs_atom50), inference(split_conjunct,[status(thm)],[c_0_1372])).+% 0.08/0.37 cnf(c_0_1847,plain,(lhs_atom49), inference(split_conjunct,[status(thm)],[c_0_1373])).+% 0.08/0.37 cnf(c_0_1848,plain,(lhs_atom48), inference(split_conjunct,[status(thm)],[c_0_1374])).+% 0.08/0.37 cnf(c_0_1849,plain,(lhs_atom47), inference(split_conjunct,[status(thm)],[c_0_1375])).+% 0.08/0.37 cnf(c_0_1850,plain,(lhs_atom46), inference(split_conjunct,[status(thm)],[c_0_1376])).+% 0.08/0.37 cnf(c_0_1851,plain,(lhs_atom45), inference(split_conjunct,[status(thm)],[c_0_1377])).+% 0.08/0.37 cnf(c_0_1852,plain,(lhs_atom44), inference(split_conjunct,[status(thm)],[c_0_1378])).+% 0.08/0.37 cnf(c_0_1853,plain,(lhs_atom43), inference(split_conjunct,[status(thm)],[c_0_1379])).+% 0.08/0.37 cnf(c_0_1854,plain,(lhs_atom42), inference(split_conjunct,[status(thm)],[c_0_1380])).+% 0.08/0.37 cnf(c_0_1855,plain,(lhs_atom41), inference(split_conjunct,[status(thm)],[c_0_1381])).+% 0.08/0.37 cnf(c_0_1856,plain,(lhs_atom40), inference(split_conjunct,[status(thm)],[c_0_1382])).+% 0.08/0.37 cnf(c_0_1857,plain,(lhs_atom39), inference(split_conjunct,[status(thm)],[c_0_1383])).+% 0.08/0.37 cnf(c_0_1858,plain,(lhs_atom38), inference(split_conjunct,[status(thm)],[c_0_1384])).+% 0.08/0.37 cnf(c_0_1859,plain,(lhs_atom37), inference(split_conjunct,[status(thm)],[c_0_1385])).+% 0.08/0.37 cnf(c_0_1860,plain,(lhs_atom36), inference(split_conjunct,[status(thm)],[c_0_1386])).+% 0.08/0.37 cnf(c_0_1861,plain,(lhs_atom35), inference(split_conjunct,[status(thm)],[c_0_1387])).+% 0.08/0.37 cnf(c_0_1862,plain,(lhs_atom34), inference(split_conjunct,[status(thm)],[c_0_1388])).+% 0.08/0.37 cnf(c_0_1863,plain,(lhs_atom33), inference(split_conjunct,[status(thm)],[c_0_1389])).+% 0.08/0.37 cnf(c_0_1864,plain,(lhs_atom32), inference(split_conjunct,[status(thm)],[c_0_1390])).+% 0.08/0.37 cnf(c_0_1865,plain,(lhs_atom31), inference(split_conjunct,[status(thm)],[c_0_1391])).+% 0.08/0.37 cnf(c_0_1866,plain,(lhs_atom30), inference(split_conjunct,[status(thm)],[c_0_1392])).+% 0.08/0.37 cnf(c_0_1867,plain,(lhs_atom29), inference(split_conjunct,[status(thm)],[c_0_1393])).+% 0.08/0.37 cnf(c_0_1868,plain,(lhs_atom28), inference(split_conjunct,[status(thm)],[c_0_1394])).+% 0.08/0.37 cnf(c_0_1869,plain,(lhs_atom27), inference(split_conjunct,[status(thm)],[c_0_1395])).+% 0.08/0.37 cnf(c_0_1870,plain,(lhs_atom26), inference(split_conjunct,[status(thm)],[c_0_1396])).+% 0.08/0.37 cnf(c_0_1871,plain,(lhs_atom25), inference(split_conjunct,[status(thm)],[c_0_1397])).+% 0.08/0.37 cnf(c_0_1872,plain,(lhs_atom24), inference(split_conjunct,[status(thm)],[c_0_1398])).+% 0.08/0.37 cnf(c_0_1873,plain,(lhs_atom23), inference(split_conjunct,[status(thm)],[c_0_1399])).+% 0.08/0.37 cnf(c_0_1874,plain,(lhs_atom22), inference(split_conjunct,[status(thm)],[c_0_1400])).+% 0.08/0.37 cnf(c_0_1875,plain,(lhs_atom21), inference(split_conjunct,[status(thm)],[c_0_1401])).+% 0.08/0.37 cnf(c_0_1876,plain,(lhs_atom20), inference(split_conjunct,[status(thm)],[c_0_1402])).+% 0.08/0.37 cnf(c_0_1877,plain,(lhs_atom19), inference(split_conjunct,[status(thm)],[c_0_1403])).+% 0.08/0.37 cnf(c_0_1878,plain,(lhs_atom18), inference(split_conjunct,[status(thm)],[c_0_1404])).+% 0.08/0.37 cnf(c_0_1879,plain,(lhs_atom17), inference(split_conjunct,[status(thm)],[c_0_1405])).+% 0.08/0.37 cnf(c_0_1880,plain,(lhs_atom16), inference(split_conjunct,[status(thm)],[c_0_1406])).+% 0.08/0.37 cnf(c_0_1881,plain,(lhs_atom15), inference(split_conjunct,[status(thm)],[c_0_1407])).+% 0.08/0.37 cnf(c_0_1882,plain,(lhs_atom14), inference(split_conjunct,[status(thm)],[c_0_1408])).+% 0.08/0.37 cnf(c_0_1883,plain,(lhs_atom13), inference(split_conjunct,[status(thm)],[c_0_1409])).+% 0.08/0.37 cnf(c_0_1884,plain,(lhs_atom12), inference(split_conjunct,[status(thm)],[c_0_1410])).+% 0.08/0.37 cnf(c_0_1885,plain,(lhs_atom11), inference(split_conjunct,[status(thm)],[c_0_1411])).+% 0.08/0.37 cnf(c_0_1886,plain,(lhs_atom10), inference(split_conjunct,[status(thm)],[c_0_1412])).+% 0.08/0.37 cnf(c_0_1887,plain,(lhs_atom9), inference(split_conjunct,[status(thm)],[c_0_1413])).+% 0.08/0.37 cnf(c_0_1888,plain,(lhs_atom8), inference(split_conjunct,[status(thm)],[c_0_1414])).+% 0.08/0.37 cnf(c_0_1889,plain,(lhs_atom7), inference(split_conjunct,[status(thm)],[c_0_1415])).+% 0.08/0.37 cnf(c_0_1890,plain,(lhs_atom6), inference(split_conjunct,[status(thm)],[c_0_1416])).+% 0.08/0.37 cnf(c_0_1891,plain,(lhs_atom5), inference(split_conjunct,[status(thm)],[c_0_1417])).+% 0.08/0.37 cnf(c_0_1892,plain,(lhs_atom4), inference(split_conjunct,[status(thm)],[c_0_1418])).+% 0.08/0.37 cnf(c_0_1893,plain,(lhs_atom3), inference(split_conjunct,[status(thm)],[c_0_1419])).+% 0.08/0.37 cnf(c_0_1894,plain,(lhs_atom2), inference(split_conjunct,[status(thm)],[c_0_1420])).+% 0.08/0.37 cnf(c_0_1895,plain,(lhs_atom1), inference(split_conjunct,[status(thm)],[c_0_1421])).+% 0.08/0.37 cnf(c_0_1896,plain,(inv(e0)=e0|lhs_atom259), c_0_1422, ['final']).+% 0.08/0.37 cnf(c_0_1897,plain,(inv(e1)=e0|lhs_atom258), c_0_1423, ['final']).+% 0.08/0.37 cnf(c_0_1898,plain,(inv(e2)=e0|lhs_atom257), c_0_1424, ['final']).+% 0.08/0.37 cnf(c_0_1899,plain,(inv(e3)=e0|lhs_atom256), c_0_1425, ['final']).+% 0.08/0.37 cnf(c_0_1900,plain,(inv(e4)=e0|lhs_atom255), c_0_1426, ['final']).+% 0.08/0.37 cnf(c_0_1901,plain,(inv(e5)=e0|lhs_atom254), c_0_1427, ['final']).+% 0.08/0.37 cnf(c_0_1902,plain,(inv(e0)=e1|lhs_atom253), c_0_1428, ['final']).+% 0.08/0.37 cnf(c_0_1903,plain,(inv(e1)=e1|lhs_atom252), c_0_1429, ['final']).+% 0.08/0.37 cnf(c_0_1904,plain,(inv(e2)=e1|lhs_atom251), c_0_1430, ['final']).+% 0.08/0.37 cnf(c_0_1905,plain,(inv(e3)=e1|lhs_atom250), c_0_1431, ['final']).+% 0.08/0.37 cnf(c_0_1906,plain,(inv(e4)=e1|lhs_atom249), c_0_1432, ['final']).+% 0.08/0.37 cnf(c_0_1907,plain,(inv(e5)=e1|lhs_atom248), c_0_1433, ['final']).+% 0.08/0.37 cnf(c_0_1908,plain,(inv(e0)=e2|lhs_atom247), c_0_1434, ['final']).+% 0.08/0.37 cnf(c_0_1909,plain,(inv(e1)=e2|lhs_atom246), c_0_1435, ['final']).+% 0.08/0.37 cnf(c_0_1910,plain,(inv(e2)=e2|lhs_atom245), c_0_1436, ['final']).+% 0.08/0.37 cnf(c_0_1911,plain,(inv(e3)=e2|lhs_atom244), c_0_1437, ['final']).+% 0.08/0.37 cnf(c_0_1912,plain,(inv(e4)=e2|lhs_atom243), c_0_1438, ['final']).+% 0.08/0.37 cnf(c_0_1913,plain,(inv(e5)=e2|lhs_atom242), c_0_1439, ['final']).+% 0.08/0.37 cnf(c_0_1914,plain,(inv(e0)=e3|lhs_atom241), c_0_1440, ['final']).+% 0.08/0.37 cnf(c_0_1915,plain,(inv(e1)=e3|lhs_atom240), c_0_1441, ['final']).+% 0.08/0.37 cnf(c_0_1916,plain,(inv(e2)=e3|lhs_atom239), c_0_1442, ['final']).+% 0.08/0.37 cnf(c_0_1917,plain,(inv(e3)=e3|lhs_atom238), c_0_1443, ['final']).+% 0.08/0.37 cnf(c_0_1918,plain,(inv(e4)=e3|lhs_atom237), c_0_1444, ['final']).+% 0.08/0.37 cnf(c_0_1919,plain,(inv(e5)=e3|lhs_atom236), c_0_1445, ['final']).+% 0.08/0.37 cnf(c_0_1920,plain,(inv(e0)=e4|lhs_atom235), c_0_1446, ['final']).+% 0.08/0.37 cnf(c_0_1921,plain,(inv(e1)=e4|lhs_atom234), c_0_1447, ['final']).+% 0.08/0.37 cnf(c_0_1922,plain,(inv(e2)=e4|lhs_atom233), c_0_1448, ['final']).+% 0.08/0.37 cnf(c_0_1923,plain,(inv(e3)=e4|lhs_atom232), c_0_1449, ['final']).+% 0.08/0.37 cnf(c_0_1924,plain,(inv(e4)=e4|lhs_atom231), c_0_1450, ['final']).+% 0.08/0.37 cnf(c_0_1925,plain,(inv(e5)=e4|lhs_atom230), c_0_1451, ['final']).+% 0.08/0.37 cnf(c_0_1926,plain,(inv(e0)=e5|lhs_atom229), c_0_1452, ['final']).+% 0.08/0.37 cnf(c_0_1927,plain,(inv(e1)=e5|lhs_atom228), c_0_1453, ['final']).+% 0.08/0.37 cnf(c_0_1928,plain,(inv(e2)=e5|lhs_atom227), c_0_1454, ['final']).+% 0.08/0.37 cnf(c_0_1929,plain,(inv(e3)=e5|lhs_atom226), c_0_1455, ['final']).+% 0.08/0.37 cnf(c_0_1930,plain,(inv(e4)=e5|lhs_atom225), c_0_1456, ['final']).+% 0.08/0.37 cnf(c_0_1931,plain,(inv(e5)=e5|lhs_atom224), c_0_1457, ['final']).+% 0.08/0.37 cnf(c_0_1932,plain,(lhs_atom474), c_0_1458, ['final']).+% 0.08/0.37 cnf(c_0_1933,plain,(lhs_atom473), c_0_1459, ['final']).+% 0.08/0.37 cnf(c_0_1934,plain,(lhs_atom472), c_0_1460, ['final']).+% 0.08/0.37 cnf(c_0_1935,plain,(lhs_atom471), c_0_1461, ['final']).+% 0.08/0.37 cnf(c_0_1936,plain,(lhs_atom470), c_0_1462, ['final']).+% 0.08/0.37 cnf(c_0_1937,plain,(lhs_atom469), c_0_1463, ['final']).+% 0.08/0.37 cnf(c_0_1938,plain,(lhs_atom468), c_0_1464, ['final']).+% 0.08/0.37 cnf(c_0_1939,plain,(lhs_atom467), c_0_1465, ['final']).+% 0.08/0.37 cnf(c_0_1940,plain,(lhs_atom466), c_0_1466, ['final']).+% 0.08/0.37 cnf(c_0_1941,plain,(lhs_atom465), c_0_1467, ['final']).+% 0.08/0.37 cnf(c_0_1942,plain,(lhs_atom464), c_0_1468, ['final']).+% 0.08/0.37 cnf(c_0_1943,plain,(lhs_atom463), c_0_1469, ['final']).+% 0.08/0.37 cnf(c_0_1944,plain,(lhs_atom462), c_0_1470, ['final']).+% 0.08/0.37 cnf(c_0_1945,plain,(lhs_atom461), c_0_1471, ['final']).+% 0.08/0.37 cnf(c_0_1946,plain,(lhs_atom460), c_0_1472, ['final']).+% 0.08/0.37 cnf(c_0_1947,plain,(lhs_atom459), c_0_1473, ['final']).+% 0.08/0.37 cnf(c_0_1948,plain,(lhs_atom458), c_0_1474, ['final']).+% 0.08/0.37 cnf(c_0_1949,plain,(lhs_atom457), c_0_1475, ['final']).+% 0.08/0.37 cnf(c_0_1950,plain,(lhs_atom456), c_0_1476, ['final']).+% 0.08/0.37 cnf(c_0_1951,plain,(lhs_atom455), c_0_1477, ['final']).+% 0.08/0.37 cnf(c_0_1952,plain,(lhs_atom454), c_0_1478, ['final']).+% 0.08/0.37 cnf(c_0_1953,plain,(lhs_atom453), c_0_1479, ['final']).+% 0.08/0.37 cnf(c_0_1954,plain,(lhs_atom452), c_0_1480, ['final']).+% 0.08/0.37 cnf(c_0_1955,plain,(lhs_atom451), c_0_1481, ['final']).+% 0.08/0.37 cnf(c_0_1956,plain,(lhs_atom450), c_0_1482, ['final']).+% 0.08/0.37 cnf(c_0_1957,plain,(lhs_atom449), c_0_1483, ['final']).+% 0.08/0.37 cnf(c_0_1958,plain,(lhs_atom448), c_0_1484, ['final']).+% 0.08/0.37 cnf(c_0_1959,plain,(lhs_atom447), c_0_1485, ['final']).+% 0.08/0.37 cnf(c_0_1960,plain,(lhs_atom446), c_0_1486, ['final']).+% 0.08/0.37 cnf(c_0_1961,plain,(lhs_atom445), c_0_1487, ['final']).+% 0.08/0.37 cnf(c_0_1962,plain,(lhs_atom444), c_0_1488, ['final']).+% 0.08/0.37 cnf(c_0_1963,plain,(lhs_atom443), c_0_1489, ['final']).+% 0.08/0.37 cnf(c_0_1964,plain,(lhs_atom442), c_0_1490, ['final']).+% 0.08/0.37 cnf(c_0_1965,plain,(lhs_atom441), c_0_1491, ['final']).+% 0.08/0.37 cnf(c_0_1966,plain,(lhs_atom440), c_0_1492, ['final']).+% 0.08/0.37 cnf(c_0_1967,plain,(lhs_atom439), c_0_1493, ['final']).+% 0.08/0.37 cnf(c_0_1968,plain,(lhs_atom438), c_0_1494, ['final']).+% 0.08/0.37 cnf(c_0_1969,plain,(lhs_atom437), c_0_1495, ['final']).+% 0.08/0.37 cnf(c_0_1970,plain,(lhs_atom436), c_0_1496, ['final']).+% 0.08/0.37 cnf(c_0_1971,plain,(lhs_atom435), c_0_1497, ['final']).+% 0.08/0.37 cnf(c_0_1972,plain,(lhs_atom434), c_0_1498, ['final']).+% 0.08/0.37 cnf(c_0_1973,plain,(lhs_atom433), c_0_1499, ['final']).+% 0.08/0.37 cnf(c_0_1974,plain,(lhs_atom432), c_0_1500, ['final']).+% 0.08/0.37 cnf(c_0_1975,plain,(lhs_atom431), c_0_1501, ['final']).+% 0.08/0.37 cnf(c_0_1976,plain,(lhs_atom430), c_0_1502, ['final']).+% 0.08/0.37 cnf(c_0_1977,plain,(lhs_atom429), c_0_1503, ['final']).+% 0.08/0.37 cnf(c_0_1978,plain,(lhs_atom428), c_0_1504, ['final']).+% 0.08/0.37 cnf(c_0_1979,plain,(lhs_atom427), c_0_1505, ['final']).+% 0.08/0.37 cnf(c_0_1980,plain,(lhs_atom426), c_0_1506, ['final']).+% 0.08/0.37 cnf(c_0_1981,plain,(lhs_atom425), c_0_1507, ['final']).+% 0.08/0.37 cnf(c_0_1982,plain,(lhs_atom424), c_0_1508, ['final']).+% 0.08/0.37 cnf(c_0_1983,plain,(lhs_atom423), c_0_1509, ['final']).+% 0.08/0.37 cnf(c_0_1984,plain,(lhs_atom422), c_0_1510, ['final']).+% 0.08/0.37 cnf(c_0_1985,plain,(lhs_atom421), c_0_1511, ['final']).+% 0.08/0.37 cnf(c_0_1986,plain,(lhs_atom420), c_0_1512, ['final']).+% 0.08/0.37 cnf(c_0_1987,plain,(lhs_atom419), c_0_1513, ['final']).+% 0.08/0.37 cnf(c_0_1988,plain,(lhs_atom418), c_0_1514, ['final']).+% 0.08/0.37 cnf(c_0_1989,plain,(lhs_atom417), c_0_1515, ['final']).+% 0.08/0.37 cnf(c_0_1990,plain,(lhs_atom416), c_0_1516, ['final']).+% 0.08/0.37 cnf(c_0_1991,plain,(lhs_atom415), c_0_1517, ['final']).+% 0.08/0.37 cnf(c_0_1992,plain,(lhs_atom414), c_0_1518, ['final']).+% 0.08/0.37 cnf(c_0_1993,plain,(lhs_atom413), c_0_1519, ['final']).+% 0.08/0.37 cnf(c_0_1994,plain,(lhs_atom412), c_0_1520, ['final']).+% 0.08/0.37 cnf(c_0_1995,plain,(lhs_atom411), c_0_1521, ['final']).+% 0.08/0.37 cnf(c_0_1996,plain,(lhs_atom410), c_0_1522, ['final']).+% 0.08/0.37 cnf(c_0_1997,plain,(lhs_atom409), c_0_1523, ['final']).+% 0.08/0.37 cnf(c_0_1998,plain,(lhs_atom408), c_0_1524, ['final']).+% 0.08/0.37 cnf(c_0_1999,plain,(lhs_atom407), c_0_1525, ['final']).+% 0.08/0.37 cnf(c_0_2000,plain,(lhs_atom406), c_0_1526, ['final']).+% 0.08/0.37 cnf(c_0_2001,plain,(lhs_atom405), c_0_1527, ['final']).+% 0.08/0.37 cnf(c_0_2002,plain,(lhs_atom404), c_0_1528, ['final']).+% 0.08/0.37 cnf(c_0_2003,plain,(lhs_atom403), c_0_1529, ['final']).+% 0.08/0.37 cnf(c_0_2004,plain,(lhs_atom402), c_0_1530, ['final']).+% 0.08/0.37 cnf(c_0_2005,plain,(lhs_atom401), c_0_1531, ['final']).+% 0.08/0.37 cnf(c_0_2006,plain,(lhs_atom400), c_0_1532, ['final']).+% 0.08/0.37 cnf(c_0_2007,plain,(lhs_atom399), c_0_1533, ['final']).+% 0.08/0.37 cnf(c_0_2008,plain,(lhs_atom398), c_0_1534, ['final']).+% 0.08/0.37 cnf(c_0_2009,plain,(lhs_atom397), c_0_1535, ['final']).+% 0.08/0.37 cnf(c_0_2010,plain,(lhs_atom396), c_0_1536, ['final']).+% 0.08/0.37 cnf(c_0_2011,plain,(lhs_atom395), c_0_1537, ['final']).+% 0.08/0.37 cnf(c_0_2012,plain,(lhs_atom394), c_0_1538, ['final']).+% 0.08/0.37 cnf(c_0_2013,plain,(lhs_atom393), c_0_1539, ['final']).+% 0.08/0.37 cnf(c_0_2014,plain,(lhs_atom392), c_0_1540, ['final']).+% 0.08/0.37 cnf(c_0_2015,plain,(lhs_atom391), c_0_1541, ['final']).+% 0.08/0.37 cnf(c_0_2016,plain,(lhs_atom390), c_0_1542, ['final']).+% 0.08/0.37 cnf(c_0_2017,plain,(lhs_atom389), c_0_1543, ['final']).+% 0.08/0.37 cnf(c_0_2018,plain,(lhs_atom388), c_0_1544, ['final']).+% 0.08/0.37 cnf(c_0_2019,plain,(lhs_atom387), c_0_1545, ['final']).+% 0.08/0.37 cnf(c_0_2020,plain,(lhs_atom386), c_0_1546, ['final']).+% 0.08/0.37 cnf(c_0_2021,plain,(lhs_atom385), c_0_1547, ['final']).+% 0.08/0.37 cnf(c_0_2022,plain,(lhs_atom384), c_0_1548, ['final']).+% 0.08/0.37 cnf(c_0_2023,plain,(lhs_atom383), c_0_1549, ['final']).+% 0.08/0.37 cnf(c_0_2024,plain,(lhs_atom382), c_0_1550, ['final']).+% 0.08/0.37 cnf(c_0_2025,plain,(lhs_atom381), c_0_1551, ['final']).+% 0.08/0.37 cnf(c_0_2026,plain,(lhs_atom380), c_0_1552, ['final']).+% 0.08/0.37 cnf(c_0_2027,plain,(lhs_atom379), c_0_1553, ['final']).+% 0.08/0.37 cnf(c_0_2028,plain,(lhs_atom378), c_0_1554, ['final']).+% 0.08/0.37 cnf(c_0_2029,plain,(lhs_atom377), c_0_1555, ['final']).+% 0.08/0.37 cnf(c_0_2030,plain,(lhs_atom376), c_0_1556, ['final']).+% 0.08/0.37 cnf(c_0_2031,plain,(lhs_atom375), c_0_1557, ['final']).+% 0.08/0.37 cnf(c_0_2032,plain,(lhs_atom374), c_0_1558, ['final']).+% 0.08/0.37 cnf(c_0_2033,plain,(lhs_atom373), c_0_1559, ['final']).+% 0.08/0.37 cnf(c_0_2034,plain,(lhs_atom372), c_0_1560, ['final']).+% 0.08/0.37 cnf(c_0_2035,plain,(lhs_atom371), c_0_1561, ['final']).+% 0.08/0.37 cnf(c_0_2036,plain,(lhs_atom370), c_0_1562, ['final']).+% 0.08/0.37 cnf(c_0_2037,plain,(lhs_atom369), c_0_1563, ['final']).+% 0.08/0.37 cnf(c_0_2038,plain,(lhs_atom368), c_0_1564, ['final']).+% 0.08/0.37 cnf(c_0_2039,plain,(lhs_atom367), c_0_1565, ['final']).+% 0.08/0.37 cnf(c_0_2040,plain,(lhs_atom366), c_0_1566, ['final']).+% 0.08/0.37 cnf(c_0_2041,plain,(lhs_atom365), c_0_1567, ['final']).+% 0.08/0.37 cnf(c_0_2042,plain,(lhs_atom364), c_0_1568, ['final']).+% 0.08/0.37 cnf(c_0_2043,plain,(lhs_atom363), c_0_1569, ['final']).+% 0.08/0.37 cnf(c_0_2044,plain,(lhs_atom362), c_0_1570, ['final']).+% 0.08/0.37 cnf(c_0_2045,plain,(lhs_atom361), c_0_1571, ['final']).+% 0.08/0.37 cnf(c_0_2046,plain,(lhs_atom360), c_0_1572, ['final']).+% 0.08/0.37 cnf(c_0_2047,plain,(lhs_atom359), c_0_1573, ['final']).+% 0.08/0.37 cnf(c_0_2048,plain,(lhs_atom358), c_0_1574, ['final']).+% 0.08/0.37 cnf(c_0_2049,plain,(lhs_atom357), c_0_1575, ['final']).+% 0.08/0.37 cnf(c_0_2050,plain,(lhs_atom356), c_0_1576, ['final']).+% 0.08/0.37 cnf(c_0_2051,plain,(lhs_atom355), c_0_1577, ['final']).+% 0.08/0.37 cnf(c_0_2052,plain,(lhs_atom354), c_0_1578, ['final']).+% 0.08/0.37 cnf(c_0_2053,plain,(lhs_atom353), c_0_1579, ['final']).+% 0.08/0.37 cnf(c_0_2054,plain,(lhs_atom352), c_0_1580, ['final']).+% 0.08/0.37 cnf(c_0_2055,plain,(lhs_atom351), c_0_1581, ['final']).+% 0.08/0.37 cnf(c_0_2056,plain,(lhs_atom350), c_0_1582, ['final']).+% 0.08/0.37 cnf(c_0_2057,plain,(lhs_atom349), c_0_1583, ['final']).+% 0.08/0.37 cnf(c_0_2058,plain,(lhs_atom348), c_0_1584, ['final']).+% 0.08/0.37 cnf(c_0_2059,plain,(lhs_atom347), c_0_1585, ['final']).+% 0.08/0.37 cnf(c_0_2060,plain,(lhs_atom346), c_0_1586, ['final']).+% 0.08/0.37 cnf(c_0_2061,plain,(lhs_atom345), c_0_1587, ['final']).+% 0.08/0.37 cnf(c_0_2062,plain,(lhs_atom344), c_0_1588, ['final']).+% 0.08/0.37 cnf(c_0_2063,plain,(lhs_atom343), c_0_1589, ['final']).+% 0.08/0.37 cnf(c_0_2064,plain,(lhs_atom342), c_0_1590, ['final']).+% 0.08/0.37 cnf(c_0_2065,plain,(lhs_atom341), c_0_1591, ['final']).+% 0.08/0.37 cnf(c_0_2066,plain,(lhs_atom340), c_0_1592, ['final']).+% 0.08/0.37 cnf(c_0_2067,plain,(lhs_atom339), c_0_1593, ['final']).+% 0.08/0.37 cnf(c_0_2068,plain,(lhs_atom338), c_0_1594, ['final']).+% 0.08/0.37 cnf(c_0_2069,plain,(lhs_atom337), c_0_1595, ['final']).+% 0.08/0.37 cnf(c_0_2070,plain,(lhs_atom336), c_0_1596, ['final']).+% 0.08/0.37 cnf(c_0_2071,plain,(lhs_atom335), c_0_1597, ['final']).+% 0.08/0.37 cnf(c_0_2072,plain,(lhs_atom334), c_0_1598, ['final']).+% 0.08/0.37 cnf(c_0_2073,plain,(lhs_atom333), c_0_1599, ['final']).+% 0.08/0.37 cnf(c_0_2074,plain,(lhs_atom332), c_0_1600, ['final']).+% 0.08/0.37 cnf(c_0_2075,plain,(lhs_atom331), c_0_1601, ['final']).+% 0.08/0.37 cnf(c_0_2076,plain,(lhs_atom330), c_0_1602, ['final']).+% 0.08/0.37 cnf(c_0_2077,plain,(lhs_atom329), c_0_1603, ['final']).+% 0.08/0.37 cnf(c_0_2078,plain,(lhs_atom328), c_0_1604, ['final']).+% 0.08/0.37 cnf(c_0_2079,plain,(lhs_atom327), c_0_1605, ['final']).+% 0.08/0.37 cnf(c_0_2080,plain,(lhs_atom326), c_0_1606, ['final']).+% 0.08/0.37 cnf(c_0_2081,plain,(lhs_atom325), c_0_1607, ['final']).+% 0.08/0.37 cnf(c_0_2082,plain,(lhs_atom324), c_0_1608, ['final']).+% 0.08/0.37 cnf(c_0_2083,plain,(lhs_atom323), c_0_1609, ['final']).+% 0.08/0.37 cnf(c_0_2084,plain,(lhs_atom322), c_0_1610, ['final']).+% 0.08/0.37 cnf(c_0_2085,plain,(lhs_atom321), c_0_1611, ['final']).+% 0.08/0.37 cnf(c_0_2086,plain,(lhs_atom320), c_0_1612, ['final']).+% 0.08/0.37 cnf(c_0_2087,plain,(lhs_atom319), c_0_1613, ['final']).+% 0.08/0.37 cnf(c_0_2088,plain,(lhs_atom318), c_0_1614, ['final']).+% 0.08/0.37 cnf(c_0_2089,plain,(lhs_atom317), c_0_1615, ['final']).+% 0.08/0.37 cnf(c_0_2090,plain,(lhs_atom316), c_0_1616, ['final']).+% 0.08/0.37 cnf(c_0_2091,plain,(lhs_atom315), c_0_1617, ['final']).+% 0.08/0.37 cnf(c_0_2092,plain,(lhs_atom314), c_0_1618, ['final']).+% 0.08/0.37 cnf(c_0_2093,plain,(lhs_atom313), c_0_1619, ['final']).+% 0.08/0.37 cnf(c_0_2094,plain,(lhs_atom312), c_0_1620, ['final']).+% 0.08/0.37 cnf(c_0_2095,plain,(lhs_atom311), c_0_1621, ['final']).+% 0.08/0.37 cnf(c_0_2096,plain,(lhs_atom310), c_0_1622, ['final']).+% 0.08/0.37 cnf(c_0_2097,plain,(lhs_atom309), c_0_1623, ['final']).+% 0.08/0.37 cnf(c_0_2098,plain,(lhs_atom308), c_0_1624, ['final']).+% 0.08/0.37 cnf(c_0_2099,plain,(lhs_atom307), c_0_1625, ['final']).+% 0.08/0.37 cnf(c_0_2100,plain,(lhs_atom306), c_0_1626, ['final']).+% 0.08/0.37 cnf(c_0_2101,plain,(lhs_atom305), c_0_1627, ['final']).+% 0.08/0.37 cnf(c_0_2102,plain,(lhs_atom304), c_0_1628, ['final']).+% 0.08/0.37 cnf(c_0_2103,plain,(lhs_atom303), c_0_1629, ['final']).+% 0.08/0.37 cnf(c_0_2104,plain,(lhs_atom302), c_0_1630, ['final']).+% 0.08/0.37 cnf(c_0_2105,plain,(lhs_atom301), c_0_1631, ['final']).+% 0.08/0.37 cnf(c_0_2106,plain,(lhs_atom300), c_0_1632, ['final']).+% 0.08/0.37 cnf(c_0_2107,plain,(lhs_atom299), c_0_1633, ['final']).+% 0.08/0.37 cnf(c_0_2108,plain,(lhs_atom298), c_0_1634, ['final']).+% 0.08/0.37 cnf(c_0_2109,plain,(lhs_atom297), c_0_1635, ['final']).+% 0.08/0.37 cnf(c_0_2110,plain,(lhs_atom296), c_0_1636, ['final']).+% 0.08/0.37 cnf(c_0_2111,plain,(lhs_atom295), c_0_1637, ['final']).+% 0.08/0.37 cnf(c_0_2112,plain,(lhs_atom294), c_0_1638, ['final']).+% 0.08/0.37 cnf(c_0_2113,plain,(lhs_atom293), c_0_1639, ['final']).+% 0.08/0.37 cnf(c_0_2114,plain,(lhs_atom292), c_0_1640, ['final']).+% 0.08/0.37 cnf(c_0_2115,plain,(lhs_atom291), c_0_1641, ['final']).+% 0.08/0.37 cnf(c_0_2116,plain,(lhs_atom290), c_0_1642, ['final']).+% 0.08/0.37 cnf(c_0_2117,plain,(lhs_atom289), c_0_1643, ['final']).+% 0.08/0.37 cnf(c_0_2118,plain,(lhs_atom288), c_0_1644, ['final']).+% 0.08/0.37 cnf(c_0_2119,plain,(lhs_atom287), c_0_1645, ['final']).+% 0.08/0.37 cnf(c_0_2120,plain,(lhs_atom286), c_0_1646, ['final']).+% 0.08/0.37 cnf(c_0_2121,plain,(lhs_atom285), c_0_1647, ['final']).+% 0.08/0.37 cnf(c_0_2122,plain,(lhs_atom284), c_0_1648, ['final']).+% 0.08/0.37 cnf(c_0_2123,plain,(lhs_atom283), c_0_1649, ['final']).+% 0.08/0.37 cnf(c_0_2124,plain,(lhs_atom282), c_0_1650, ['final']).+% 0.08/0.37 cnf(c_0_2125,plain,(lhs_atom281), c_0_1651, ['final']).+% 0.08/0.37 cnf(c_0_2126,plain,(lhs_atom280), c_0_1652, ['final']).+% 0.08/0.37 cnf(c_0_2127,plain,(lhs_atom279), c_0_1653, ['final']).+% 0.08/0.37 cnf(c_0_2128,plain,(lhs_atom278), c_0_1654, ['final']).+% 0.08/0.37 cnf(c_0_2129,plain,(lhs_atom277), c_0_1655, ['final']).+% 0.08/0.37 cnf(c_0_2130,plain,(lhs_atom276), c_0_1656, ['final']).+% 0.08/0.37 cnf(c_0_2131,plain,(lhs_atom275), c_0_1657, ['final']).+% 0.08/0.37 cnf(c_0_2132,plain,(lhs_atom274), c_0_1658, ['final']).+% 0.08/0.37 cnf(c_0_2133,plain,(lhs_atom273), c_0_1659, ['final']).+% 0.08/0.37 cnf(c_0_2134,plain,(lhs_atom272), c_0_1660, ['final']).+% 0.08/0.37 cnf(c_0_2135,plain,(lhs_atom271), c_0_1661, ['final']).+% 0.08/0.37 cnf(c_0_2136,plain,(lhs_atom270), c_0_1662, ['final']).+% 0.08/0.37 cnf(c_0_2137,plain,(lhs_atom269), c_0_1663, ['final']).+% 0.08/0.37 cnf(c_0_2138,plain,(lhs_atom268), c_0_1664, ['final']).+% 0.08/0.37 cnf(c_0_2139,plain,(lhs_atom267), c_0_1665, ['final']).+% 0.08/0.37 cnf(c_0_2140,plain,(lhs_atom266), c_0_1666, ['final']).+% 0.08/0.37 cnf(c_0_2141,plain,(lhs_atom265), c_0_1667, ['final']).+% 0.08/0.37 cnf(c_0_2142,plain,(lhs_atom264), c_0_1668, ['final']).+% 0.08/0.37 cnf(c_0_2143,plain,(lhs_atom263), c_0_1669, ['final']).+% 0.08/0.37 cnf(c_0_2144,plain,(lhs_atom262), c_0_1670, ['final']).+% 0.08/0.37 cnf(c_0_2145,plain,(lhs_atom261), c_0_1671, ['final']).+% 0.08/0.37 cnf(c_0_2146,plain,(lhs_atom260), c_0_1672, ['final']).+% 0.08/0.37 cnf(c_0_2147,plain,(lhs_atom223), c_0_1673, ['final']).+% 0.08/0.37 cnf(c_0_2148,plain,(lhs_atom222), c_0_1674, ['final']).+% 0.08/0.37 cnf(c_0_2149,plain,(lhs_atom221), c_0_1675, ['final']).+% 0.08/0.37 cnf(c_0_2150,plain,(lhs_atom220), c_0_1676, ['final']).+% 0.08/0.37 cnf(c_0_2151,plain,(lhs_atom219), c_0_1677, ['final']).+% 0.08/0.37 cnf(c_0_2152,plain,(lhs_atom218), c_0_1678, ['final']).+% 0.08/0.37 cnf(c_0_2153,plain,(lhs_atom217), c_0_1679, ['final']).+% 0.08/0.37 cnf(c_0_2154,plain,(lhs_atom216), c_0_1680, ['final']).+% 0.08/0.37 cnf(c_0_2155,plain,(lhs_atom215), c_0_1681, ['final']).+% 0.08/0.37 cnf(c_0_2156,plain,(lhs_atom214), c_0_1682, ['final']).+% 0.08/0.37 cnf(c_0_2157,plain,(lhs_atom213), c_0_1683, ['final']).+% 0.08/0.37 cnf(c_0_2158,plain,(lhs_atom212), c_0_1684, ['final']).+% 0.08/0.37 cnf(c_0_2159,plain,(lhs_atom211), c_0_1685, ['final']).+% 0.08/0.37 cnf(c_0_2160,plain,(lhs_atom210), c_0_1686, ['final']).+% 0.08/0.37 cnf(c_0_2161,plain,(lhs_atom209), c_0_1687, ['final']).+% 0.08/0.37 cnf(c_0_2162,plain,(lhs_atom208), c_0_1688, ['final']).+% 0.08/0.37 cnf(c_0_2163,plain,(lhs_atom207), c_0_1689, ['final']).+% 0.08/0.37 cnf(c_0_2164,plain,(lhs_atom206), c_0_1690, ['final']).+% 0.08/0.37 cnf(c_0_2165,plain,(lhs_atom205), c_0_1691, ['final']).+% 0.08/0.37 cnf(c_0_2166,plain,(lhs_atom204), c_0_1692, ['final']).+% 0.08/0.37 cnf(c_0_2167,plain,(lhs_atom203), c_0_1693, ['final']).+% 0.08/0.37 cnf(c_0_2168,plain,(lhs_atom202), c_0_1694, ['final']).+% 0.08/0.37 cnf(c_0_2169,plain,(lhs_atom201), c_0_1695, ['final']).+% 0.08/0.37 cnf(c_0_2170,plain,(lhs_atom200), c_0_1696, ['final']).+% 0.08/0.37 cnf(c_0_2171,plain,(lhs_atom199), c_0_1697, ['final']).+% 0.08/0.37 cnf(c_0_2172,plain,(lhs_atom198), c_0_1698, ['final']).+% 0.08/0.37 cnf(c_0_2173,plain,(lhs_atom197), c_0_1699, ['final']).+% 0.08/0.37 cnf(c_0_2174,plain,(lhs_atom196), c_0_1700, ['final']).+% 0.08/0.37 cnf(c_0_2175,plain,(lhs_atom195), c_0_1701, ['final']).+% 0.08/0.37 cnf(c_0_2176,plain,(lhs_atom194), c_0_1702, ['final']).+% 0.08/0.37 cnf(c_0_2177,plain,(lhs_atom193), c_0_1703, ['final']).+% 0.08/0.37 cnf(c_0_2178,plain,(lhs_atom192), c_0_1704, ['final']).+% 0.08/0.37 cnf(c_0_2179,plain,(lhs_atom191), c_0_1705, ['final']).+% 0.08/0.37 cnf(c_0_2180,plain,(lhs_atom190), c_0_1706, ['final']).+% 0.08/0.37 cnf(c_0_2181,plain,(lhs_atom189), c_0_1707, ['final']).+% 0.08/0.37 cnf(c_0_2182,plain,(lhs_atom188), c_0_1708, ['final']).+% 0.08/0.37 cnf(c_0_2183,plain,(lhs_atom187), c_0_1709, ['final']).+% 0.08/0.37 cnf(c_0_2184,plain,(lhs_atom186), c_0_1710, ['final']).+% 0.08/0.37 cnf(c_0_2185,plain,(lhs_atom185), c_0_1711, ['final']).+% 0.08/0.37 cnf(c_0_2186,plain,(lhs_atom184), c_0_1712, ['final']).+% 0.08/0.37 cnf(c_0_2187,plain,(lhs_atom183), c_0_1713, ['final']).+% 0.08/0.37 cnf(c_0_2188,plain,(lhs_atom182), c_0_1714, ['final']).+% 0.08/0.37 cnf(c_0_2189,plain,(lhs_atom181), c_0_1715, ['final']).+% 0.08/0.37 cnf(c_0_2190,plain,(lhs_atom180), c_0_1716, ['final']).+% 0.08/0.37 cnf(c_0_2191,plain,(lhs_atom179), c_0_1717, ['final']).+% 0.08/0.37 cnf(c_0_2192,plain,(lhs_atom178), c_0_1718, ['final']).+% 0.08/0.37 cnf(c_0_2193,plain,(lhs_atom177), c_0_1719, ['final']).+% 0.08/0.37 cnf(c_0_2194,plain,(lhs_atom176), c_0_1720, ['final']).+% 0.08/0.37 cnf(c_0_2195,plain,(lhs_atom175), c_0_1721, ['final']).+% 0.08/0.37 cnf(c_0_2196,plain,(lhs_atom174), c_0_1722, ['final']).+% 0.08/0.37 cnf(c_0_2197,plain,(lhs_atom173), c_0_1723, ['final']).+% 0.08/0.37 cnf(c_0_2198,plain,(lhs_atom172), c_0_1724, ['final']).+% 0.08/0.37 cnf(c_0_2199,plain,(lhs_atom171), c_0_1725, ['final']).+% 0.08/0.37 cnf(c_0_2200,plain,(lhs_atom170), c_0_1726, ['final']).+% 0.08/0.37 cnf(c_0_2201,plain,(lhs_atom169), c_0_1727, ['final']).+% 0.08/0.37 cnf(c_0_2202,plain,(lhs_atom168), c_0_1728, ['final']).+% 0.08/0.37 cnf(c_0_2203,plain,(lhs_atom167), c_0_1729, ['final']).+% 0.08/0.37 cnf(c_0_2204,plain,(lhs_atom166), c_0_1730, ['final']).+% 0.08/0.37 cnf(c_0_2205,plain,(lhs_atom165), c_0_1731, ['final']).+% 0.08/0.37 cnf(c_0_2206,plain,(lhs_atom164), c_0_1732, ['final']).+% 0.08/0.37 cnf(c_0_2207,plain,(lhs_atom163), c_0_1733, ['final']).+% 0.08/0.37 cnf(c_0_2208,plain,(lhs_atom162), c_0_1734, ['final']).+% 0.08/0.37 cnf(c_0_2209,plain,(lhs_atom161), c_0_1735, ['final']).+% 0.08/0.37 cnf(c_0_2210,plain,(lhs_atom160), c_0_1736, ['final']).+% 0.08/0.37 cnf(c_0_2211,plain,(lhs_atom159), c_0_1737, ['final']).+% 0.08/0.37 cnf(c_0_2212,plain,(lhs_atom158), c_0_1738, ['final']).+% 0.08/0.37 cnf(c_0_2213,plain,(lhs_atom157), c_0_1739, ['final']).+% 0.08/0.37 cnf(c_0_2214,plain,(lhs_atom156), c_0_1740, ['final']).+% 0.08/0.37 cnf(c_0_2215,plain,(lhs_atom155), c_0_1741, ['final']).+% 0.08/0.37 cnf(c_0_2216,plain,(lhs_atom154), c_0_1742, ['final']).+% 0.08/0.37 cnf(c_0_2217,plain,(lhs_atom153), c_0_1743, ['final']).+% 0.08/0.37 cnf(c_0_2218,plain,(lhs_atom152), c_0_1744, ['final']).+% 0.08/0.37 cnf(c_0_2219,plain,(lhs_atom151), c_0_1745, ['final']).+% 0.08/0.37 cnf(c_0_2220,plain,(lhs_atom150), c_0_1746, ['final']).+% 0.08/0.37 cnf(c_0_2221,plain,(lhs_atom149), c_0_1747, ['final']).+% 0.08/0.37 cnf(c_0_2222,plain,(lhs_atom148), c_0_1748, ['final']).+% 0.08/0.37 cnf(c_0_2223,plain,(lhs_atom147), c_0_1749, ['final']).+% 0.08/0.37 cnf(c_0_2224,plain,(lhs_atom146), c_0_1750, ['final']).+% 0.08/0.37 cnf(c_0_2225,plain,(lhs_atom145), c_0_1751, ['final']).+% 0.08/0.37 cnf(c_0_2226,plain,(lhs_atom144), c_0_1752, ['final']).+% 0.08/0.37 cnf(c_0_2227,plain,(lhs_atom143), c_0_1753, ['final']).+% 0.08/0.37 cnf(c_0_2228,plain,(lhs_atom142), c_0_1754, ['final']).+% 0.08/0.37 cnf(c_0_2229,plain,(lhs_atom141), c_0_1755, ['final']).+% 0.08/0.37 cnf(c_0_2230,plain,(lhs_atom140), c_0_1756, ['final']).+% 0.08/0.37 cnf(c_0_2231,plain,(lhs_atom139), c_0_1757, ['final']).+% 0.08/0.37 cnf(c_0_2232,plain,(lhs_atom138), c_0_1758, ['final']).+% 0.08/0.37 cnf(c_0_2233,plain,(lhs_atom137), c_0_1759, ['final']).+% 0.08/0.37 cnf(c_0_2234,plain,(lhs_atom136), c_0_1760, ['final']).+% 0.08/0.37 cnf(c_0_2235,plain,(lhs_atom135), c_0_1761, ['final']).+% 0.08/0.37 cnf(c_0_2236,plain,(lhs_atom134), c_0_1762, ['final']).+% 0.08/0.37 cnf(c_0_2237,plain,(lhs_atom133), c_0_1763, ['final']).+% 0.08/0.37 cnf(c_0_2238,plain,(lhs_atom132), c_0_1764, ['final']).+% 0.08/0.37 cnf(c_0_2239,plain,(lhs_atom131), c_0_1765, ['final']).+% 0.08/0.37 cnf(c_0_2240,plain,(lhs_atom130), c_0_1766, ['final']).+% 0.08/0.37 cnf(c_0_2241,plain,(lhs_atom129), c_0_1767, ['final']).+% 0.08/0.37 cnf(c_0_2242,plain,(lhs_atom128), c_0_1768, ['final']).+% 0.08/0.37 cnf(c_0_2243,plain,(lhs_atom127), c_0_1769, ['final']).+% 0.08/0.37 cnf(c_0_2244,plain,(lhs_atom126), c_0_1770, ['final']).+% 0.08/0.37 cnf(c_0_2245,plain,(lhs_atom125), c_0_1771, ['final']).+% 0.08/0.37 cnf(c_0_2246,plain,(lhs_atom124), c_0_1772, ['final']).+% 0.08/0.37 cnf(c_0_2247,plain,(lhs_atom123), c_0_1773, ['final']).+% 0.08/0.37 cnf(c_0_2248,plain,(lhs_atom122), c_0_1774, ['final']).+% 0.08/0.37 cnf(c_0_2249,plain,(lhs_atom121), c_0_1775, ['final']).+% 0.08/0.37 cnf(c_0_2250,plain,(lhs_atom120), c_0_1776, ['final']).+% 0.08/0.37 cnf(c_0_2251,plain,(lhs_atom119), c_0_1777, ['final']).+% 0.08/0.37 cnf(c_0_2252,plain,(lhs_atom118), c_0_1778, ['final']).+% 0.08/0.37 cnf(c_0_2253,plain,(lhs_atom117), c_0_1779, ['final']).+% 0.08/0.37 cnf(c_0_2254,plain,(lhs_atom116), c_0_1780, ['final']).+% 0.08/0.37 cnf(c_0_2255,plain,(lhs_atom115), c_0_1781, ['final']).+% 0.08/0.37 cnf(c_0_2256,plain,(lhs_atom114), c_0_1782, ['final']).+% 0.08/0.37 cnf(c_0_2257,plain,(lhs_atom113), c_0_1783, ['final']).+% 0.08/0.37 cnf(c_0_2258,plain,(lhs_atom112), c_0_1784, ['final']).+% 0.08/0.37 cnf(c_0_2259,plain,(lhs_atom111), c_0_1785, ['final']).+% 0.08/0.37 cnf(c_0_2260,plain,(lhs_atom110), c_0_1786, ['final']).+% 0.08/0.37 cnf(c_0_2261,plain,(lhs_atom109), c_0_1787, ['final']).+% 0.08/0.37 cnf(c_0_2262,plain,(lhs_atom108), c_0_1788, ['final']).+% 0.08/0.37 cnf(c_0_2263,plain,(lhs_atom107), c_0_1789, ['final']).+% 0.08/0.37 cnf(c_0_2264,plain,(lhs_atom106), c_0_1790, ['final']).+% 0.08/0.37 cnf(c_0_2265,plain,(lhs_atom105), c_0_1791, ['final']).+% 0.08/0.37 cnf(c_0_2266,plain,(lhs_atom104), c_0_1792, ['final']).+% 0.08/0.37 cnf(c_0_2267,plain,(lhs_atom103), c_0_1793, ['final']).+% 0.08/0.37 cnf(c_0_2268,plain,(lhs_atom102), c_0_1794, ['final']).+% 0.08/0.37 cnf(c_0_2269,plain,(lhs_atom101), c_0_1795, ['final']).+% 0.08/0.37 cnf(c_0_2270,plain,(lhs_atom100), c_0_1796, ['final']).+% 0.08/0.37 cnf(c_0_2271,plain,(lhs_atom99), c_0_1797, ['final']).+% 0.08/0.37 cnf(c_0_2272,plain,(lhs_atom98), c_0_1798, ['final']).+% 0.08/0.37 cnf(c_0_2273,plain,(lhs_atom97), c_0_1799, ['final']).+% 0.08/0.37 cnf(c_0_2274,plain,(lhs_atom96), c_0_1800, ['final']).+% 0.08/0.37 cnf(c_0_2275,plain,(lhs_atom95), c_0_1801, ['final']).+% 0.08/0.37 cnf(c_0_2276,plain,(lhs_atom94), c_0_1802, ['final']).+% 0.08/0.37 cnf(c_0_2277,plain,(lhs_atom93), c_0_1803, ['final']).+% 0.08/0.37 cnf(c_0_2278,plain,(lhs_atom92), c_0_1804, ['final']).+% 0.08/0.37 cnf(c_0_2279,plain,(lhs_atom91), c_0_1805, ['final']).+% 0.08/0.37 cnf(c_0_2280,plain,(lhs_atom90), c_0_1806, ['final']).+% 0.08/0.37 cnf(c_0_2281,plain,(lhs_atom89), c_0_1807, ['final']).+% 0.08/0.37 cnf(c_0_2282,plain,(lhs_atom88), c_0_1808, ['final']).+% 0.08/0.37 cnf(c_0_2283,plain,(lhs_atom87), c_0_1809, ['final']).+% 0.08/0.37 cnf(c_0_2284,plain,(lhs_atom86), c_0_1810, ['final']).+% 0.08/0.37 cnf(c_0_2285,plain,(lhs_atom85), c_0_1811, ['final']).+% 0.08/0.37 cnf(c_0_2286,plain,(lhs_atom84), c_0_1812, ['final']).+% 0.08/0.37 cnf(c_0_2287,plain,(lhs_atom83), c_0_1813, ['final']).+% 0.08/0.37 cnf(c_0_2288,plain,(lhs_atom82), c_0_1814, ['final']).+% 0.08/0.37 cnf(c_0_2289,plain,(lhs_atom81), c_0_1815, ['final']).+% 0.08/0.37 cnf(c_0_2290,plain,(lhs_atom80), c_0_1816, ['final']).+% 0.08/0.37 cnf(c_0_2291,plain,(lhs_atom79), c_0_1817, ['final']).+% 0.08/0.37 cnf(c_0_2292,plain,(lhs_atom78), c_0_1818, ['final']).+% 0.08/0.37 cnf(c_0_2293,plain,(lhs_atom77), c_0_1819, ['final']).+% 0.08/0.37 cnf(c_0_2294,plain,(lhs_atom76), c_0_1820, ['final']).+% 0.08/0.37 cnf(c_0_2295,plain,(lhs_atom75), c_0_1821, ['final']).+% 0.08/0.37 cnf(c_0_2296,plain,(lhs_atom74), c_0_1822, ['final']).+% 0.08/0.37 cnf(c_0_2297,plain,(lhs_atom73), c_0_1823, ['final']).+% 0.08/0.37 cnf(c_0_2298,plain,(lhs_atom72), c_0_1824, ['final']).+% 0.08/0.37 cnf(c_0_2299,plain,(lhs_atom71), c_0_1825, ['final']).+% 0.08/0.37 cnf(c_0_2300,plain,(lhs_atom70), c_0_1826, ['final']).+% 0.08/0.37 cnf(c_0_2301,plain,(lhs_atom69), c_0_1827, ['final']).+% 0.08/0.37 cnf(c_0_2302,plain,(lhs_atom68), c_0_1828, ['final']).+% 0.08/0.37 cnf(c_0_2303,plain,(lhs_atom67), c_0_1829, ['final']).+% 0.08/0.37 cnf(c_0_2304,plain,(lhs_atom66), c_0_1830, ['final']).+% 0.08/0.37 cnf(c_0_2305,plain,(lhs_atom65), c_0_1831, ['final']).+% 0.08/0.37 cnf(c_0_2306,plain,(lhs_atom64), c_0_1832, ['final']).+% 0.08/0.37 cnf(c_0_2307,plain,(lhs_atom63), c_0_1833, ['final']).+% 0.08/0.37 cnf(c_0_2308,plain,(lhs_atom62), c_0_1834, ['final']).+% 0.08/0.37 cnf(c_0_2309,plain,(lhs_atom61), c_0_1835, ['final']).+% 0.08/0.37 cnf(c_0_2310,plain,(lhs_atom60), c_0_1836, ['final']).+% 0.08/0.37 cnf(c_0_2311,plain,(lhs_atom59), c_0_1837, ['final']).+% 0.08/0.37 cnf(c_0_2312,plain,(lhs_atom58), c_0_1838, ['final']).+% 0.08/0.37 cnf(c_0_2313,plain,(lhs_atom57), c_0_1839, ['final']).+% 0.08/0.37 cnf(c_0_2314,plain,(lhs_atom56), c_0_1840, ['final']).+% 0.08/0.37 cnf(c_0_2315,plain,(lhs_atom55), c_0_1841, ['final']).+% 0.08/0.37 cnf(c_0_2316,plain,(lhs_atom54), c_0_1842, ['final']).+% 0.08/0.37 cnf(c_0_2317,plain,(lhs_atom53), c_0_1843, ['final']).+% 0.08/0.37 cnf(c_0_2318,plain,(lhs_atom52), c_0_1844, ['final']).+% 0.08/0.37 cnf(c_0_2319,plain,(lhs_atom51), c_0_1845, ['final']).+% 0.08/0.37 cnf(c_0_2320,plain,(lhs_atom50), c_0_1846, ['final']).+% 0.08/0.37 cnf(c_0_2321,plain,(lhs_atom49), c_0_1847, ['final']).+% 0.08/0.37 cnf(c_0_2322,plain,(lhs_atom48), c_0_1848, ['final']).+% 0.08/0.37 cnf(c_0_2323,plain,(lhs_atom47), c_0_1849, ['final']).+% 0.08/0.37 cnf(c_0_2324,plain,(lhs_atom46), c_0_1850, ['final']).+% 0.08/0.37 cnf(c_0_2325,plain,(lhs_atom45), c_0_1851, ['final']).+% 0.08/0.37 cnf(c_0_2326,plain,(lhs_atom44), c_0_1852, ['final']).+% 0.08/0.37 cnf(c_0_2327,plain,(lhs_atom43), c_0_1853, ['final']).+% 0.08/0.37 cnf(c_0_2328,plain,(lhs_atom42), c_0_1854, ['final']).+% 0.08/0.37 cnf(c_0_2329,plain,(lhs_atom41), c_0_1855, ['final']).+% 0.08/0.37 cnf(c_0_2330,plain,(lhs_atom40), c_0_1856, ['final']).+% 0.08/0.37 cnf(c_0_2331,plain,(lhs_atom39), c_0_1857, ['final']).+% 0.08/0.37 cnf(c_0_2332,plain,(lhs_atom38), c_0_1858, ['final']).+% 0.08/0.37 cnf(c_0_2333,plain,(lhs_atom37), c_0_1859, ['final']).+% 0.08/0.37 cnf(c_0_2334,plain,(lhs_atom36), c_0_1860, ['final']).+% 0.08/0.37 cnf(c_0_2335,plain,(lhs_atom35), c_0_1861, ['final']).+% 0.08/0.37 cnf(c_0_2336,plain,(lhs_atom34), c_0_1862, ['final']).+% 0.08/0.37 cnf(c_0_2337,plain,(lhs_atom33), c_0_1863, ['final']).+% 0.08/0.37 cnf(c_0_2338,plain,(lhs_atom32), c_0_1864, ['final']).+% 0.08/0.37 cnf(c_0_2339,plain,(lhs_atom31), c_0_1865, ['final']).+% 0.08/0.37 cnf(c_0_2340,plain,(lhs_atom30), c_0_1866, ['final']).+% 0.08/0.37 cnf(c_0_2341,plain,(lhs_atom29), c_0_1867, ['final']).+% 0.08/0.37 cnf(c_0_2342,plain,(lhs_atom28), c_0_1868, ['final']).+% 0.08/0.37 cnf(c_0_2343,plain,(lhs_atom27), c_0_1869, ['final']).+% 0.08/0.37 cnf(c_0_2344,plain,(lhs_atom26), c_0_1870, ['final']).+% 0.08/0.37 cnf(c_0_2345,plain,(lhs_atom25), c_0_1871, ['final']).+% 0.08/0.37 cnf(c_0_2346,plain,(lhs_atom24), c_0_1872, ['final']).+% 0.08/0.37 cnf(c_0_2347,plain,(lhs_atom23), c_0_1873, ['final']).+% 0.08/0.37 cnf(c_0_2348,plain,(lhs_atom22), c_0_1874, ['final']).+% 0.08/0.37 cnf(c_0_2349,plain,(lhs_atom21), c_0_1875, ['final']).+% 0.08/0.37 cnf(c_0_2350,plain,(lhs_atom20), c_0_1876, ['final']).+% 0.08/0.37 cnf(c_0_2351,plain,(lhs_atom19), c_0_1877, ['final']).+% 0.08/0.37 cnf(c_0_2352,plain,(lhs_atom18), c_0_1878, ['final']).+% 0.08/0.37 cnf(c_0_2353,plain,(lhs_atom17), c_0_1879, ['final']).+% 0.08/0.37 cnf(c_0_2354,plain,(lhs_atom16), c_0_1880, ['final']).+% 0.08/0.37 cnf(c_0_2355,plain,(lhs_atom15), c_0_1881, ['final']).+% 0.08/0.37 cnf(c_0_2356,plain,(lhs_atom14), c_0_1882, ['final']).+% 0.08/0.37 cnf(c_0_2357,plain,(lhs_atom13), c_0_1883, ['final']).+% 0.08/0.37 cnf(c_0_2358,plain,(lhs_atom12), c_0_1884, ['final']).+% 0.08/0.37 cnf(c_0_2359,plain,(lhs_atom11), c_0_1885, ['final']).+% 0.08/0.37 cnf(c_0_2360,plain,(lhs_atom10), c_0_1886, ['final']).+% 0.08/0.37 cnf(c_0_2361,plain,(lhs_atom9), c_0_1887, ['final']).+% 0.08/0.37 cnf(c_0_2362,plain,(lhs_atom8), c_0_1888, ['final']).+% 0.08/0.37 cnf(c_0_2363,plain,(lhs_atom7), c_0_1889, ['final']).+% 0.08/0.37 cnf(c_0_2364,plain,(lhs_atom6), c_0_1890, ['final']).+% 0.08/0.37 cnf(c_0_2365,plain,(lhs_atom5), c_0_1891, ['final']).+% 0.08/0.37 cnf(c_0_2366,plain,(lhs_atom4), c_0_1892, ['final']).+% 0.08/0.37 cnf(c_0_2367,plain,(lhs_atom3), c_0_1893, ['final']).+% 0.08/0.37 cnf(c_0_2368,plain,(lhs_atom2), c_0_1894, ['final']).+% 0.08/0.37 cnf(c_0_2369,plain,(lhs_atom1), c_0_1895, ['final']).+% 0.08/0.37 % End CNF derivation+% 0.08/0.37 cnf(c_0_1896_0,axiom,~inv(e0)=e0|inv(e0)=e0,inference(unfold_definition, [status(thm)], [c_0_1896, def_lhs_atom259])).+% 0.08/0.37 cnf(c_0_1897_0,axiom,~inv(e0)=e1|inv(e1)=e0,inference(unfold_definition, [status(thm)], [c_0_1897, def_lhs_atom258])).+% 0.08/0.37 cnf(c_0_1898_0,axiom,~inv(e0)=e2|inv(e2)=e0,inference(unfold_definition, [status(thm)], [c_0_1898, def_lhs_atom257])).+% 0.08/0.37 cnf(c_0_1899_0,axiom,~inv(e0)=e3|inv(e3)=e0,inference(unfold_definition, [status(thm)], [c_0_1899, def_lhs_atom256])).+% 0.08/0.37 cnf(c_0_1900_0,axiom,~inv(e0)=e4|inv(e4)=e0,inference(unfold_definition, [status(thm)], [c_0_1900, def_lhs_atom255])).+% 0.08/0.37 cnf(c_0_1901_0,axiom,~inv(e0)=e5|inv(e5)=e0,inference(unfold_definition, [status(thm)], [c_0_1901, def_lhs_atom254])).+% 0.08/0.37 cnf(c_0_1902_0,axiom,~inv(e1)=e0|inv(e0)=e1,inference(unfold_definition, [status(thm)], [c_0_1902, def_lhs_atom253])).+% 0.08/0.37 cnf(c_0_1903_0,axiom,~inv(e1)=e1|inv(e1)=e1,inference(unfold_definition, [status(thm)], [c_0_1903, def_lhs_atom252])).+% 0.08/0.37 cnf(c_0_1904_0,axiom,~inv(e1)=e2|inv(e2)=e1,inference(unfold_definition, [status(thm)], [c_0_1904, def_lhs_atom251])).+% 0.08/0.37 cnf(c_0_1905_0,axiom,~inv(e1)=e3|inv(e3)=e1,inference(unfold_definition, [status(thm)], [c_0_1905, def_lhs_atom250])).+% 0.08/0.37 cnf(c_0_1906_0,axiom,~inv(e1)=e4|inv(e4)=e1,inference(unfold_definition, [status(thm)], [c_0_1906, def_lhs_atom249])).+% 0.08/0.37 cnf(c_0_1907_0,axiom,~inv(e1)=e5|inv(e5)=e1,inference(unfold_definition, [status(thm)], [c_0_1907, def_lhs_atom248])).+% 0.08/0.37 cnf(c_0_1908_0,axiom,~inv(e2)=e0|inv(e0)=e2,inference(unfold_definition, [status(thm)], [c_0_1908, def_lhs_atom247])).+% 0.08/0.37 cnf(c_0_1909_0,axiom,~inv(e2)=e1|inv(e1)=e2,inference(unfold_definition, [status(thm)], [c_0_1909, def_lhs_atom246])).+% 0.08/0.37 cnf(c_0_1910_0,axiom,~inv(e2)=e2|inv(e2)=e2,inference(unfold_definition, [status(thm)], [c_0_1910, def_lhs_atom245])).+% 0.08/0.37 cnf(c_0_1911_0,axiom,~inv(e2)=e3|inv(e3)=e2,inference(unfold_definition, [status(thm)], [c_0_1911, def_lhs_atom244])).+% 0.08/0.37 cnf(c_0_1912_0,axiom,~inv(e2)=e4|inv(e4)=e2,inference(unfold_definition, [status(thm)], [c_0_1912, def_lhs_atom243])).+% 0.08/0.37 cnf(c_0_1913_0,axiom,~inv(e2)=e5|inv(e5)=e2,inference(unfold_definition, [status(thm)], [c_0_1913, def_lhs_atom242])).+% 0.08/0.37 cnf(c_0_1914_0,axiom,~inv(e3)=e0|inv(e0)=e3,inference(unfold_definition, [status(thm)], [c_0_1914, def_lhs_atom241])).+% 0.08/0.37 cnf(c_0_1915_0,axiom,~inv(e3)=e1|inv(e1)=e3,inference(unfold_definition, [status(thm)], [c_0_1915, def_lhs_atom240])).+% 0.08/0.37 cnf(c_0_1916_0,axiom,~inv(e3)=e2|inv(e2)=e3,inference(unfold_definition, [status(thm)], [c_0_1916, def_lhs_atom239])).+% 0.08/0.37 cnf(c_0_1917_0,axiom,~inv(e3)=e3|inv(e3)=e3,inference(unfold_definition, [status(thm)], [c_0_1917, def_lhs_atom238])).+% 0.08/0.37 cnf(c_0_1918_0,axiom,~inv(e3)=e4|inv(e4)=e3,inference(unfold_definition, [status(thm)], [c_0_1918, def_lhs_atom237])).+% 0.08/0.37 cnf(c_0_1919_0,axiom,~inv(e3)=e5|inv(e5)=e3,inference(unfold_definition, [status(thm)], [c_0_1919, def_lhs_atom236])).+% 0.08/0.37 cnf(c_0_1920_0,axiom,~inv(e4)=e0|inv(e0)=e4,inference(unfold_definition, [status(thm)], [c_0_1920, def_lhs_atom235])).+% 0.08/0.37 cnf(c_0_1921_0,axiom,~inv(e4)=e1|inv(e1)=e4,inference(unfold_definition, [status(thm)], [c_0_1921, def_lhs_atom234])).+% 0.08/0.37 cnf(c_0_1922_0,axiom,~inv(e4)=e2|inv(e2)=e4,inference(unfold_definition, [status(thm)], [c_0_1922, def_lhs_atom233])).+% 0.08/0.37 cnf(c_0_1923_0,axiom,~inv(e4)=e3|inv(e3)=e4,inference(unfold_definition, [status(thm)], [c_0_1923, def_lhs_atom232])).+% 0.08/0.37 cnf(c_0_1924_0,axiom,~inv(e4)=e4|inv(e4)=e4,inference(unfold_definition, [status(thm)], [c_0_1924, def_lhs_atom231])).+% 0.08/0.37 cnf(c_0_1925_0,axiom,~inv(e4)=e5|inv(e5)=e4,inference(unfold_definition, [status(thm)], [c_0_1925, def_lhs_atom230])).+% 0.08/0.37 cnf(c_0_1926_0,axiom,~inv(e5)=e0|inv(e0)=e5,inference(unfold_definition, [status(thm)], [c_0_1926, def_lhs_atom229])).+% 0.08/0.37 cnf(c_0_1927_0,axiom,~inv(e5)=e1|inv(e1)=e5,inference(unfold_definition, [status(thm)], [c_0_1927, def_lhs_atom228])).+% 0.08/0.37 cnf(c_0_1928_0,axiom,~inv(e5)=e2|inv(e2)=e5,inference(unfold_definition, [status(thm)], [c_0_1928, def_lhs_atom227])).+% 0.08/0.37 cnf(c_0_1929_0,axiom,~inv(e5)=e3|inv(e3)=e5,inference(unfold_definition, [status(thm)], [c_0_1929, def_lhs_atom226])).+% 0.08/0.37 cnf(c_0_1930_0,axiom,~inv(e5)=e4|inv(e4)=e5,inference(unfold_definition, [status(thm)], [c_0_1930, def_lhs_atom225])).+% 0.08/0.37 cnf(c_0_1931_0,axiom,~inv(e5)=e5|inv(e5)=e5,inference(unfold_definition, [status(thm)], [c_0_1931, def_lhs_atom224])).+% 0.08/0.37 cnf(c_0_1932_0,axiom,e0=op(op(op(op(e4,e4),e4),e4),op(e4,e4)),inference(unfold_definition, [status(thm)], [c_0_1932, def_lhs_atom474])).+% 0.08/0.37 cnf(c_0_1933_0,axiom,e1=op(op(e4,e4),e4),inference(unfold_definition, [status(thm)], [c_0_1933, def_lhs_atom473])).+% 0.08/0.37 cnf(c_0_1934_0,axiom,e2=op(op(op(e4,e4),e4),e4),inference(unfold_definition, [status(thm)], [c_0_1934, def_lhs_atom472])).+% 0.08/0.37 cnf(c_0_1935_0,axiom,e3=op(e4,e4),inference(unfold_definition, [status(thm)], [c_0_1935, def_lhs_atom471])).+% 0.08/0.37 cnf(c_0_1936_0,axiom,e5=op(op(op(op(e4,e4),e4),e4),e4),inference(unfold_definition, [status(thm)], [c_0_1936, def_lhs_atom470])).+% 0.08/0.37 cnf(c_0_1937_0,axiom,e0!=e1,inference(unfold_definition, [status(thm)], [c_0_1937, def_lhs_atom469])).+% 0.08/0.37 cnf(c_0_1938_0,axiom,e0!=e2,inference(unfold_definition, [status(thm)], [c_0_1938, def_lhs_atom468])).+% 0.08/0.37 cnf(c_0_1939_0,axiom,e0!=e3,inference(unfold_definition, [status(thm)], [c_0_1939, def_lhs_atom467])).+% 0.08/0.37 cnf(c_0_1940_0,axiom,e0!=e4,inference(unfold_definition, [status(thm)], [c_0_1940, def_lhs_atom466])).+% 0.08/0.37 cnf(c_0_1941_0,axiom,e0!=e5,inference(unfold_definition, [status(thm)], [c_0_1941, def_lhs_atom465])).+% 0.08/0.37 cnf(c_0_1942_0,axiom,e1!=e2,inference(unfold_definition, [status(thm)], [c_0_1942, def_lhs_atom464])).+% 0.08/0.37 cnf(c_0_1943_0,axiom,e1!=e3,inference(unfold_definition, [status(thm)], [c_0_1943, def_lhs_atom463])).+% 0.08/0.37 cnf(c_0_1944_0,axiom,e1!=e4,inference(unfold_definition, [status(thm)], [c_0_1944, def_lhs_atom462])).+% 0.08/0.37 cnf(c_0_1945_0,axiom,e1!=e5,inference(unfold_definition, [status(thm)], [c_0_1945, def_lhs_atom461])).+% 0.08/0.37 cnf(c_0_1946_0,axiom,e2!=e3,inference(unfold_definition, [status(thm)], [c_0_1946, def_lhs_atom460])).+% 0.08/0.37 cnf(c_0_1947_0,axiom,e2!=e4,inference(unfold_definition, [status(thm)], [c_0_1947, def_lhs_atom459])).+% 0.08/0.37 cnf(c_0_1948_0,axiom,e2!=e5,inference(unfold_definition, [status(thm)], [c_0_1948, def_lhs_atom458])).+% 0.08/0.37 cnf(c_0_1949_0,axiom,e3!=e4,inference(unfold_definition, [status(thm)], [c_0_1949, def_lhs_atom457])).+% 0.08/0.37 cnf(c_0_1950_0,axiom,e3!=e5,inference(unfold_definition, [status(thm)], [c_0_1950, def_lhs_atom456])).+% 0.08/0.37 cnf(c_0_1951_0,axiom,e4!=e5,inference(unfold_definition, [status(thm)], [c_0_1951, def_lhs_atom455])).+% 0.08/0.37 cnf(c_0_1952_0,axiom,op(e0,e0)!=op(e1,e0),inference(unfold_definition, [status(thm)], [c_0_1952, def_lhs_atom454])).+% 0.08/0.37 cnf(c_0_1953_0,axiom,op(e0,e0)!=op(e2,e0),inference(unfold_definition, [status(thm)], [c_0_1953, def_lhs_atom453])).+% 0.08/0.37 cnf(c_0_1954_0,axiom,op(e0,e0)!=op(e3,e0),inference(unfold_definition, [status(thm)], [c_0_1954, def_lhs_atom452])).+% 0.08/0.37 cnf(c_0_1955_0,axiom,op(e0,e0)!=op(e4,e0),inference(unfold_definition, [status(thm)], [c_0_1955, def_lhs_atom451])).+% 0.08/0.37 cnf(c_0_1956_0,axiom,op(e0,e0)!=op(e5,e0),inference(unfold_definition, [status(thm)], [c_0_1956, def_lhs_atom450])).+% 0.08/0.37 cnf(c_0_1957_0,axiom,op(e1,e0)!=op(e2,e0),inference(unfold_definition, [status(thm)], [c_0_1957, def_lhs_atom449])).+% 0.08/0.37 cnf(c_0_1958_0,axiom,op(e1,e0)!=op(e3,e0),inference(unfold_definition, [status(thm)], [c_0_1958, def_lhs_atom448])).+% 0.08/0.37 cnf(c_0_1959_0,axiom,op(e1,e0)!=op(e4,e0),inference(unfold_definition, [status(thm)], [c_0_1959, def_lhs_atom447])).+% 0.08/0.37 cnf(c_0_1960_0,axiom,op(e1,e0)!=op(e5,e0),inference(unfold_definition, [status(thm)], [c_0_1960, def_lhs_atom446])).+% 0.08/0.37 cnf(c_0_1961_0,axiom,op(e2,e0)!=op(e3,e0),inference(unfold_definition, [status(thm)], [c_0_1961, def_lhs_atom445])).+% 0.08/0.37 cnf(c_0_1962_0,axiom,op(e2,e0)!=op(e4,e0),inference(unfold_definition, [status(thm)], [c_0_1962, def_lhs_atom444])).+% 0.08/0.37 cnf(c_0_1963_0,axiom,op(e2,e0)!=op(e5,e0),inference(unfold_definition, [status(thm)], [c_0_1963, def_lhs_atom443])).+% 0.08/0.37 cnf(c_0_1964_0,axiom,op(e3,e0)!=op(e4,e0),inference(unfold_definition, [status(thm)], [c_0_1964, def_lhs_atom442])).+% 0.08/0.37 cnf(c_0_1965_0,axiom,op(e3,e0)!=op(e5,e0),inference(unfold_definition, [status(thm)], [c_0_1965, def_lhs_atom441])).+% 0.08/0.37 cnf(c_0_1966_0,axiom,op(e4,e0)!=op(e5,e0),inference(unfold_definition, [status(thm)], [c_0_1966, def_lhs_atom440])).+% 0.08/0.37 cnf(c_0_1967_0,axiom,op(e0,e1)!=op(e1,e1),inference(unfold_definition, [status(thm)], [c_0_1967, def_lhs_atom439])).+% 0.08/0.37 cnf(c_0_1968_0,axiom,op(e0,e1)!=op(e2,e1),inference(unfold_definition, [status(thm)], [c_0_1968, def_lhs_atom438])).+% 0.08/0.37 cnf(c_0_1969_0,axiom,op(e0,e1)!=op(e3,e1),inference(unfold_definition, [status(thm)], [c_0_1969, def_lhs_atom437])).+% 0.08/0.37 cnf(c_0_1970_0,axiom,op(e0,e1)!=op(e4,e1),inference(unfold_definition, [status(thm)], [c_0_1970, def_lhs_atom436])).+% 0.08/0.37 cnf(c_0_1971_0,axiom,op(e0,e1)!=op(e5,e1),inference(unfold_definition, [status(thm)], [c_0_1971, def_lhs_atom435])).+% 0.08/0.37 cnf(c_0_1972_0,axiom,op(e1,e1)!=op(e2,e1),inference(unfold_definition, [status(thm)], [c_0_1972, def_lhs_atom434])).+% 0.08/0.37 cnf(c_0_1973_0,axiom,op(e1,e1)!=op(e3,e1),inference(unfold_definition, [status(thm)], [c_0_1973, def_lhs_atom433])).+% 0.08/0.37 cnf(c_0_1974_0,axiom,op(e1,e1)!=op(e4,e1),inference(unfold_definition, [status(thm)], [c_0_1974, def_lhs_atom432])).+% 0.08/0.37 cnf(c_0_1975_0,axiom,op(e1,e1)!=op(e5,e1),inference(unfold_definition, [status(thm)], [c_0_1975, def_lhs_atom431])).+% 0.08/0.37 cnf(c_0_1976_0,axiom,op(e2,e1)!=op(e3,e1),inference(unfold_definition, [status(thm)], [c_0_1976, def_lhs_atom430])).+% 0.08/0.37 cnf(c_0_1977_0,axiom,op(e2,e1)!=op(e4,e1),inference(unfold_definition, [status(thm)], [c_0_1977, def_lhs_atom429])).+% 0.08/0.37 cnf(c_0_1978_0,axiom,op(e2,e1)!=op(e5,e1),inference(unfold_definition, [status(thm)], [c_0_1978, def_lhs_atom428])).+% 0.08/0.37 cnf(c_0_1979_0,axiom,op(e3,e1)!=op(e4,e1),inference(unfold_definition, [status(thm)], [c_0_1979, def_lhs_atom427])).+% 0.08/0.37 cnf(c_0_1980_0,axiom,op(e3,e1)!=op(e5,e1),inference(unfold_definition, [status(thm)], [c_0_1980, def_lhs_atom426])).+% 0.08/0.37 cnf(c_0_1981_0,axiom,op(e4,e1)!=op(e5,e1),inference(unfold_definition, [status(thm)], [c_0_1981, def_lhs_atom425])).+% 0.08/0.37 cnf(c_0_1982_0,axiom,op(e0,e2)!=op(e1,e2),inference(unfold_definition, [status(thm)], [c_0_1982, def_lhs_atom424])).+% 0.08/0.37 cnf(c_0_1983_0,axiom,op(e0,e2)!=op(e2,e2),inference(unfold_definition, [status(thm)], [c_0_1983, def_lhs_atom423])).+% 0.08/0.37 cnf(c_0_1984_0,axiom,op(e0,e2)!=op(e3,e2),inference(unfold_definition, [status(thm)], [c_0_1984, def_lhs_atom422])).+% 0.08/0.37 cnf(c_0_1985_0,axiom,op(e0,e2)!=op(e4,e2),inference(unfold_definition, [status(thm)], [c_0_1985, def_lhs_atom421])).+% 0.08/0.37 cnf(c_0_1986_0,axiom,op(e0,e2)!=op(e5,e2),inference(unfold_definition, [status(thm)], [c_0_1986, def_lhs_atom420])).+% 0.08/0.37 cnf(c_0_1987_0,axiom,op(e1,e2)!=op(e2,e2),inference(unfold_definition, [status(thm)], [c_0_1987, def_lhs_atom419])).+% 0.08/0.37 cnf(c_0_1988_0,axiom,op(e1,e2)!=op(e3,e2),inference(unfold_definition, [status(thm)], [c_0_1988, def_lhs_atom418])).+% 0.08/0.37 cnf(c_0_1989_0,axiom,op(e1,e2)!=op(e4,e2),inference(unfold_definition, [status(thm)], [c_0_1989, def_lhs_atom417])).+% 0.08/0.37 cnf(c_0_1990_0,axiom,op(e1,e2)!=op(e5,e2),inference(unfold_definition, [status(thm)], [c_0_1990, def_lhs_atom416])).+% 0.08/0.37 cnf(c_0_1991_0,axiom,op(e2,e2)!=op(e3,e2),inference(unfold_definition, [status(thm)], [c_0_1991, def_lhs_atom415])).+% 0.08/0.37 cnf(c_0_1992_0,axiom,op(e2,e2)!=op(e4,e2),inference(unfold_definition, [status(thm)], [c_0_1992, def_lhs_atom414])).+% 0.08/0.37 cnf(c_0_1993_0,axiom,op(e2,e2)!=op(e5,e2),inference(unfold_definition, [status(thm)], [c_0_1993, def_lhs_atom413])).+% 0.08/0.37 cnf(c_0_1994_0,axiom,op(e3,e2)!=op(e4,e2),inference(unfold_definition, [status(thm)], [c_0_1994, def_lhs_atom412])).+% 0.08/0.37 cnf(c_0_1995_0,axiom,op(e3,e2)!=op(e5,e2),inference(unfold_definition, [status(thm)], [c_0_1995, def_lhs_atom411])).+% 0.08/0.37 cnf(c_0_1996_0,axiom,op(e4,e2)!=op(e5,e2),inference(unfold_definition, [status(thm)], [c_0_1996, def_lhs_atom410])).+% 0.08/0.37 cnf(c_0_1997_0,axiom,op(e0,e3)!=op(e1,e3),inference(unfold_definition, [status(thm)], [c_0_1997, def_lhs_atom409])).+% 0.08/0.37 cnf(c_0_1998_0,axiom,op(e0,e3)!=op(e2,e3),inference(unfold_definition, [status(thm)], [c_0_1998, def_lhs_atom408])).+% 0.08/0.37 cnf(c_0_1999_0,axiom,op(e0,e3)!=op(e3,e3),inference(unfold_definition, [status(thm)], [c_0_1999, def_lhs_atom407])).+% 0.08/0.37 cnf(c_0_2000_0,axiom,op(e0,e3)!=op(e4,e3),inference(unfold_definition, [status(thm)], [c_0_2000, def_lhs_atom406])).+% 0.08/0.37 cnf(c_0_2001_0,axiom,op(e0,e3)!=op(e5,e3),inference(unfold_definition, [status(thm)], [c_0_2001, def_lhs_atom405])).+% 0.08/0.37 cnf(c_0_2002_0,axiom,op(e1,e3)!=op(e2,e3),inference(unfold_definition, [status(thm)], [c_0_2002, def_lhs_atom404])).+% 0.08/0.37 cnf(c_0_2003_0,axiom,op(e1,e3)!=op(e3,e3),inference(unfold_definition, [status(thm)], [c_0_2003, def_lhs_atom403])).+% 0.08/0.37 cnf(c_0_2004_0,axiom,op(e1,e3)!=op(e4,e3),inference(unfold_definition, [status(thm)], [c_0_2004, def_lhs_atom402])).+% 0.08/0.37 cnf(c_0_2005_0,axiom,op(e1,e3)!=op(e5,e3),inference(unfold_definition, [status(thm)], [c_0_2005, def_lhs_atom401])).+% 0.08/0.37 cnf(c_0_2006_0,axiom,op(e2,e3)!=op(e3,e3),inference(unfold_definition, [status(thm)], [c_0_2006, def_lhs_atom400])).+% 0.08/0.37 cnf(c_0_2007_0,axiom,op(e2,e3)!=op(e4,e3),inference(unfold_definition, [status(thm)], [c_0_2007, def_lhs_atom399])).+% 0.08/0.37 cnf(c_0_2008_0,axiom,op(e2,e3)!=op(e5,e3),inference(unfold_definition, [status(thm)], [c_0_2008, def_lhs_atom398])).+% 0.08/0.37 cnf(c_0_2009_0,axiom,op(e3,e3)!=op(e4,e3),inference(unfold_definition, [status(thm)], [c_0_2009, def_lhs_atom397])).+% 0.08/0.37 cnf(c_0_2010_0,axiom,op(e3,e3)!=op(e5,e3),inference(unfold_definition, [status(thm)], [c_0_2010, def_lhs_atom396])).+% 0.08/0.37 cnf(c_0_2011_0,axiom,op(e4,e3)!=op(e5,e3),inference(unfold_definition, [status(thm)], [c_0_2011, def_lhs_atom395])).+% 0.08/0.37 cnf(c_0_2012_0,axiom,op(e0,e4)!=op(e1,e4),inference(unfold_definition, [status(thm)], [c_0_2012, def_lhs_atom394])).+% 0.08/0.37 cnf(c_0_2013_0,axiom,op(e0,e4)!=op(e2,e4),inference(unfold_definition, [status(thm)], [c_0_2013, def_lhs_atom393])).+% 0.08/0.37 cnf(c_0_2014_0,axiom,op(e0,e4)!=op(e3,e4),inference(unfold_definition, [status(thm)], [c_0_2014, def_lhs_atom392])).+% 0.08/0.37 cnf(c_0_2015_0,axiom,op(e0,e4)!=op(e4,e4),inference(unfold_definition, [status(thm)], [c_0_2015, def_lhs_atom391])).+% 0.08/0.37 cnf(c_0_2016_0,axiom,op(e0,e4)!=op(e5,e4),inference(unfold_definition, [status(thm)], [c_0_2016, def_lhs_atom390])).+% 0.08/0.37 cnf(c_0_2017_0,axiom,op(e1,e4)!=op(e2,e4),inference(unfold_definition, [status(thm)], [c_0_2017, def_lhs_atom389])).+% 0.08/0.37 cnf(c_0_2018_0,axiom,op(e1,e4)!=op(e3,e4),inference(unfold_definition, [status(thm)], [c_0_2018, def_lhs_atom388])).+% 0.08/0.37 cnf(c_0_2019_0,axiom,op(e1,e4)!=op(e4,e4),inference(unfold_definition, [status(thm)], [c_0_2019, def_lhs_atom387])).+% 0.08/0.37 cnf(c_0_2020_0,axiom,op(e1,e4)!=op(e5,e4),inference(unfold_definition, [status(thm)], [c_0_2020, def_lhs_atom386])).+% 0.08/0.37 cnf(c_0_2021_0,axiom,op(e2,e4)!=op(e3,e4),inference(unfold_definition, [status(thm)], [c_0_2021, def_lhs_atom385])).+% 0.08/0.37 cnf(c_0_2022_0,axiom,op(e2,e4)!=op(e4,e4),inference(unfold_definition, [status(thm)], [c_0_2022, def_lhs_atom384])).+% 0.08/0.37 cnf(c_0_2023_0,axiom,op(e2,e4)!=op(e5,e4),inference(unfold_definition, [status(thm)], [c_0_2023, def_lhs_atom383])).+% 0.08/0.37 cnf(c_0_2024_0,axiom,op(e3,e4)!=op(e4,e4),inference(unfold_definition, [status(thm)], [c_0_2024, def_lhs_atom382])).+% 0.08/0.37 cnf(c_0_2025_0,axiom,op(e3,e4)!=op(e5,e4),inference(unfold_definition, [status(thm)], [c_0_2025, def_lhs_atom381])).+% 0.08/0.37 cnf(c_0_2026_0,axiom,op(e4,e4)!=op(e5,e4),inference(unfold_definition, [status(thm)], [c_0_2026, def_lhs_atom380])).+% 0.08/0.37 cnf(c_0_2027_0,axiom,op(e0,e5)!=op(e1,e5),inference(unfold_definition, [status(thm)], [c_0_2027, def_lhs_atom379])).+% 0.08/0.37 cnf(c_0_2028_0,axiom,op(e0,e5)!=op(e2,e5),inference(unfold_definition, [status(thm)], [c_0_2028, def_lhs_atom378])).+% 0.08/0.37 cnf(c_0_2029_0,axiom,op(e0,e5)!=op(e3,e5),inference(unfold_definition, [status(thm)], [c_0_2029, def_lhs_atom377])).+% 0.08/0.37 cnf(c_0_2030_0,axiom,op(e0,e5)!=op(e4,e5),inference(unfold_definition, [status(thm)], [c_0_2030, def_lhs_atom376])).+% 0.08/0.37 cnf(c_0_2031_0,axiom,op(e0,e5)!=op(e5,e5),inference(unfold_definition, [status(thm)], [c_0_2031, def_lhs_atom375])).+% 0.08/0.37 cnf(c_0_2032_0,axiom,op(e1,e5)!=op(e2,e5),inference(unfold_definition, [status(thm)], [c_0_2032, def_lhs_atom374])).+% 0.08/0.37 cnf(c_0_2033_0,axiom,op(e1,e5)!=op(e3,e5),inference(unfold_definition, [status(thm)], [c_0_2033, def_lhs_atom373])).+% 0.08/0.37 cnf(c_0_2034_0,axiom,op(e1,e5)!=op(e4,e5),inference(unfold_definition, [status(thm)], [c_0_2034, def_lhs_atom372])).+% 0.08/0.37 cnf(c_0_2035_0,axiom,op(e1,e5)!=op(e5,e5),inference(unfold_definition, [status(thm)], [c_0_2035, def_lhs_atom371])).+% 0.08/0.37 cnf(c_0_2036_0,axiom,op(e2,e5)!=op(e3,e5),inference(unfold_definition, [status(thm)], [c_0_2036, def_lhs_atom370])).+% 0.08/0.37 cnf(c_0_2037_0,axiom,op(e2,e5)!=op(e4,e5),inference(unfold_definition, [status(thm)], [c_0_2037, def_lhs_atom369])).+% 0.08/0.37 cnf(c_0_2038_0,axiom,op(e2,e5)!=op(e5,e5),inference(unfold_definition, [status(thm)], [c_0_2038, def_lhs_atom368])).+% 0.08/0.37 cnf(c_0_2039_0,axiom,op(e3,e5)!=op(e4,e5),inference(unfold_definition, [status(thm)], [c_0_2039, def_lhs_atom367])).+% 0.08/0.37 cnf(c_0_2040_0,axiom,op(e3,e5)!=op(e5,e5),inference(unfold_definition, [status(thm)], [c_0_2040, def_lhs_atom366])).+% 0.08/0.37 cnf(c_0_2041_0,axiom,op(e4,e5)!=op(e5,e5),inference(unfold_definition, [status(thm)], [c_0_2041, def_lhs_atom365])).+% 0.08/0.37 cnf(c_0_2042_0,axiom,op(e0,e0)!=op(e0,e1),inference(unfold_definition, [status(thm)], [c_0_2042, def_lhs_atom364])).+% 0.08/0.37 cnf(c_0_2043_0,axiom,op(e0,e0)!=op(e0,e2),inference(unfold_definition, [status(thm)], [c_0_2043, def_lhs_atom363])).+% 0.08/0.37 cnf(c_0_2044_0,axiom,op(e0,e0)!=op(e0,e3),inference(unfold_definition, [status(thm)], [c_0_2044, def_lhs_atom362])).+% 0.08/0.37 cnf(c_0_2045_0,axiom,op(e0,e0)!=op(e0,e4),inference(unfold_definition, [status(thm)], [c_0_2045, def_lhs_atom361])).+% 0.08/0.37 cnf(c_0_2046_0,axiom,op(e0,e0)!=op(e0,e5),inference(unfold_definition, [status(thm)], [c_0_2046, def_lhs_atom360])).+% 0.08/0.37 cnf(c_0_2047_0,axiom,op(e0,e1)!=op(e0,e2),inference(unfold_definition, [status(thm)], [c_0_2047, def_lhs_atom359])).+% 0.08/0.37 cnf(c_0_2048_0,axiom,op(e0,e1)!=op(e0,e3),inference(unfold_definition, [status(thm)], [c_0_2048, def_lhs_atom358])).+% 0.08/0.37 cnf(c_0_2049_0,axiom,op(e0,e1)!=op(e0,e4),inference(unfold_definition, [status(thm)], [c_0_2049, def_lhs_atom357])).+% 0.08/0.37 cnf(c_0_2050_0,axiom,op(e0,e1)!=op(e0,e5),inference(unfold_definition, [status(thm)], [c_0_2050, def_lhs_atom356])).+% 0.08/0.37 cnf(c_0_2051_0,axiom,op(e0,e2)!=op(e0,e3),inference(unfold_definition, [status(thm)], [c_0_2051, def_lhs_atom355])).+% 0.08/0.37 cnf(c_0_2052_0,axiom,op(e0,e2)!=op(e0,e4),inference(unfold_definition, [status(thm)], [c_0_2052, def_lhs_atom354])).+% 0.08/0.37 cnf(c_0_2053_0,axiom,op(e0,e2)!=op(e0,e5),inference(unfold_definition, [status(thm)], [c_0_2053, def_lhs_atom353])).+% 0.08/0.37 cnf(c_0_2054_0,axiom,op(e0,e3)!=op(e0,e4),inference(unfold_definition, [status(thm)], [c_0_2054, def_lhs_atom352])).+% 0.08/0.37 cnf(c_0_2055_0,axiom,op(e0,e3)!=op(e0,e5),inference(unfold_definition, [status(thm)], [c_0_2055, def_lhs_atom351])).+% 0.08/0.37 cnf(c_0_2056_0,axiom,op(e0,e4)!=op(e0,e5),inference(unfold_definition, [status(thm)], [c_0_2056, def_lhs_atom350])).+% 0.08/0.37 cnf(c_0_2057_0,axiom,op(e1,e0)!=op(e1,e1),inference(unfold_definition, [status(thm)], [c_0_2057, def_lhs_atom349])).+% 0.08/0.37 cnf(c_0_2058_0,axiom,op(e1,e0)!=op(e1,e2),inference(unfold_definition, [status(thm)], [c_0_2058, def_lhs_atom348])).+% 0.08/0.37 cnf(c_0_2059_0,axiom,op(e1,e0)!=op(e1,e3),inference(unfold_definition, [status(thm)], [c_0_2059, def_lhs_atom347])).+% 0.08/0.37 cnf(c_0_2060_0,axiom,op(e1,e0)!=op(e1,e4),inference(unfold_definition, [status(thm)], [c_0_2060, def_lhs_atom346])).+% 0.08/0.37 cnf(c_0_2061_0,axiom,op(e1,e0)!=op(e1,e5),inference(unfold_definition, [status(thm)], [c_0_2061, def_lhs_atom345])).+% 0.08/0.37 cnf(c_0_2062_0,axiom,op(e1,e1)!=op(e1,e2),inference(unfold_definition, [status(thm)], [c_0_2062, def_lhs_atom344])).+% 0.08/0.37 cnf(c_0_2063_0,axiom,op(e1,e1)!=op(e1,e3),inference(unfold_definition, [status(thm)], [c_0_2063, def_lhs_atom343])).+% 0.08/0.37 cnf(c_0_2064_0,axiom,op(e1,e1)!=op(e1,e4),inference(unfold_definition, [status(thm)], [c_0_2064, def_lhs_atom342])).+% 0.08/0.37 cnf(c_0_2065_0,axiom,op(e1,e1)!=op(e1,e5),inference(unfold_definition, [status(thm)], [c_0_2065, def_lhs_atom341])).+% 0.08/0.37 cnf(c_0_2066_0,axiom,op(e1,e2)!=op(e1,e3),inference(unfold_definition, [status(thm)], [c_0_2066, def_lhs_atom340])).+% 0.08/0.37 cnf(c_0_2067_0,axiom,op(e1,e2)!=op(e1,e4),inference(unfold_definition, [status(thm)], [c_0_2067, def_lhs_atom339])).+% 0.08/0.37 cnf(c_0_2068_0,axiom,op(e1,e2)!=op(e1,e5),inference(unfold_definition, [status(thm)], [c_0_2068, def_lhs_atom338])).+% 0.08/0.37 cnf(c_0_2069_0,axiom,op(e1,e3)!=op(e1,e4),inference(unfold_definition, [status(thm)], [c_0_2069, def_lhs_atom337])).+% 0.08/0.37 cnf(c_0_2070_0,axiom,op(e1,e3)!=op(e1,e5),inference(unfold_definition, [status(thm)], [c_0_2070, def_lhs_atom336])).+% 0.08/0.37 cnf(c_0_2071_0,axiom,op(e1,e4)!=op(e1,e5),inference(unfold_definition, [status(thm)], [c_0_2071, def_lhs_atom335])).+% 0.08/0.37 cnf(c_0_2072_0,axiom,op(e2,e0)!=op(e2,e1),inference(unfold_definition, [status(thm)], [c_0_2072, def_lhs_atom334])).+% 0.08/0.37 cnf(c_0_2073_0,axiom,op(e2,e0)!=op(e2,e2),inference(unfold_definition, [status(thm)], [c_0_2073, def_lhs_atom333])).+% 0.08/0.37 cnf(c_0_2074_0,axiom,op(e2,e0)!=op(e2,e3),inference(unfold_definition, [status(thm)], [c_0_2074, def_lhs_atom332])).+% 0.08/0.37 cnf(c_0_2075_0,axiom,op(e2,e0)!=op(e2,e4),inference(unfold_definition, [status(thm)], [c_0_2075, def_lhs_atom331])).+% 0.08/0.37 cnf(c_0_2076_0,axiom,op(e2,e0)!=op(e2,e5),inference(unfold_definition, [status(thm)], [c_0_2076, def_lhs_atom330])).+% 0.08/0.37 cnf(c_0_2077_0,axiom,op(e2,e1)!=op(e2,e2),inference(unfold_definition, [status(thm)], [c_0_2077, def_lhs_atom329])).+% 0.08/0.37 cnf(c_0_2078_0,axiom,op(e2,e1)!=op(e2,e3),inference(unfold_definition, [status(thm)], [c_0_2078, def_lhs_atom328])).+% 0.08/0.37 cnf(c_0_2079_0,axiom,op(e2,e1)!=op(e2,e4),inference(unfold_definition, [status(thm)], [c_0_2079, def_lhs_atom327])).+% 0.08/0.37 cnf(c_0_2080_0,axiom,op(e2,e1)!=op(e2,e5),inference(unfold_definition, [status(thm)], [c_0_2080, def_lhs_atom326])).+% 0.08/0.37 cnf(c_0_2081_0,axiom,op(e2,e2)!=op(e2,e3),inference(unfold_definition, [status(thm)], [c_0_2081, def_lhs_atom325])).+% 0.08/0.37 cnf(c_0_2082_0,axiom,op(e2,e2)!=op(e2,e4),inference(unfold_definition, [status(thm)], [c_0_2082, def_lhs_atom324])).+% 0.08/0.37 cnf(c_0_2083_0,axiom,op(e2,e2)!=op(e2,e5),inference(unfold_definition, [status(thm)], [c_0_2083, def_lhs_atom323])).+% 0.08/0.37 cnf(c_0_2084_0,axiom,op(e2,e3)!=op(e2,e4),inference(unfold_definition, [status(thm)], [c_0_2084, def_lhs_atom322])).+% 0.08/0.37 cnf(c_0_2085_0,axiom,op(e2,e3)!=op(e2,e5),inference(unfold_definition, [status(thm)], [c_0_2085, def_lhs_atom321])).+% 0.08/0.37 cnf(c_0_2086_0,axiom,op(e2,e4)!=op(e2,e5),inference(unfold_definition, [status(thm)], [c_0_2086, def_lhs_atom320])).+% 0.08/0.37 cnf(c_0_2087_0,axiom,op(e3,e0)!=op(e3,e1),inference(unfold_definition, [status(thm)], [c_0_2087, def_lhs_atom319])).+% 0.08/0.37 cnf(c_0_2088_0,axiom,op(e3,e0)!=op(e3,e2),inference(unfold_definition, [status(thm)], [c_0_2088, def_lhs_atom318])).+% 0.08/0.37 cnf(c_0_2089_0,axiom,op(e3,e0)!=op(e3,e3),inference(unfold_definition, [status(thm)], [c_0_2089, def_lhs_atom317])).+% 0.08/0.37 cnf(c_0_2090_0,axiom,op(e3,e0)!=op(e3,e4),inference(unfold_definition, [status(thm)], [c_0_2090, def_lhs_atom316])).+% 0.08/0.37 cnf(c_0_2091_0,axiom,op(e3,e0)!=op(e3,e5),inference(unfold_definition, [status(thm)], [c_0_2091, def_lhs_atom315])).+% 0.08/0.37 cnf(c_0_2092_0,axiom,op(e3,e1)!=op(e3,e2),inference(unfold_definition, [status(thm)], [c_0_2092, def_lhs_atom314])).+% 0.08/0.37 cnf(c_0_2093_0,axiom,op(e3,e1)!=op(e3,e3),inference(unfold_definition, [status(thm)], [c_0_2093, def_lhs_atom313])).+% 0.08/0.37 cnf(c_0_2094_0,axiom,op(e3,e1)!=op(e3,e4),inference(unfold_definition, [status(thm)], [c_0_2094, def_lhs_atom312])).+% 0.08/0.37 cnf(c_0_2095_0,axiom,op(e3,e1)!=op(e3,e5),inference(unfold_definition, [status(thm)], [c_0_2095, def_lhs_atom311])).+% 0.08/0.37 cnf(c_0_2096_0,axiom,op(e3,e2)!=op(e3,e3),inference(unfold_definition, [status(thm)], [c_0_2096, def_lhs_atom310])).+% 0.08/0.37 cnf(c_0_2097_0,axiom,op(e3,e2)!=op(e3,e4),inference(unfold_definition, [status(thm)], [c_0_2097, def_lhs_atom309])).+% 0.08/0.37 cnf(c_0_2098_0,axiom,op(e3,e2)!=op(e3,e5),inference(unfold_definition, [status(thm)], [c_0_2098, def_lhs_atom308])).+% 0.08/0.37 cnf(c_0_2099_0,axiom,op(e3,e3)!=op(e3,e4),inference(unfold_definition, [status(thm)], [c_0_2099, def_lhs_atom307])).+% 0.08/0.37 cnf(c_0_2100_0,axiom,op(e3,e3)!=op(e3,e5),inference(unfold_definition, [status(thm)], [c_0_2100, def_lhs_atom306])).+% 0.08/0.37 cnf(c_0_2101_0,axiom,op(e3,e4)!=op(e3,e5),inference(unfold_definition, [status(thm)], [c_0_2101, def_lhs_atom305])).+% 0.08/0.37 cnf(c_0_2102_0,axiom,op(e4,e0)!=op(e4,e1),inference(unfold_definition, [status(thm)], [c_0_2102, def_lhs_atom304])).+% 0.08/0.37 cnf(c_0_2103_0,axiom,op(e4,e0)!=op(e4,e2),inference(unfold_definition, [status(thm)], [c_0_2103, def_lhs_atom303])).+% 0.08/0.37 cnf(c_0_2104_0,axiom,op(e4,e0)!=op(e4,e3),inference(unfold_definition, [status(thm)], [c_0_2104, def_lhs_atom302])).+% 0.08/0.37 cnf(c_0_2105_0,axiom,op(e4,e0)!=op(e4,e4),inference(unfold_definition, [status(thm)], [c_0_2105, def_lhs_atom301])).+% 0.08/0.37 cnf(c_0_2106_0,axiom,op(e4,e0)!=op(e4,e5),inference(unfold_definition, [status(thm)], [c_0_2106, def_lhs_atom300])).+% 0.08/0.37 cnf(c_0_2107_0,axiom,op(e4,e1)!=op(e4,e2),inference(unfold_definition, [status(thm)], [c_0_2107, def_lhs_atom299])).+% 0.08/0.37 cnf(c_0_2108_0,axiom,op(e4,e1)!=op(e4,e3),inference(unfold_definition, [status(thm)], [c_0_2108, def_lhs_atom298])).+% 0.08/0.37 cnf(c_0_2109_0,axiom,op(e4,e1)!=op(e4,e4),inference(unfold_definition, [status(thm)], [c_0_2109, def_lhs_atom297])).+% 0.08/0.37 cnf(c_0_2110_0,axiom,op(e4,e1)!=op(e4,e5),inference(unfold_definition, [status(thm)], [c_0_2110, def_lhs_atom296])).+% 0.08/0.37 cnf(c_0_2111_0,axiom,op(e4,e2)!=op(e4,e3),inference(unfold_definition, [status(thm)], [c_0_2111, def_lhs_atom295])).+% 0.08/0.37 cnf(c_0_2112_0,axiom,op(e4,e2)!=op(e4,e4),inference(unfold_definition, [status(thm)], [c_0_2112, def_lhs_atom294])).+% 0.08/0.37 cnf(c_0_2113_0,axiom,op(e4,e2)!=op(e4,e5),inference(unfold_definition, [status(thm)], [c_0_2113, def_lhs_atom293])).+% 0.08/0.37 cnf(c_0_2114_0,axiom,op(e4,e3)!=op(e4,e4),inference(unfold_definition, [status(thm)], [c_0_2114, def_lhs_atom292])).+% 0.08/0.37 cnf(c_0_2115_0,axiom,op(e4,e3)!=op(e4,e5),inference(unfold_definition, [status(thm)], [c_0_2115, def_lhs_atom291])).+% 0.08/0.37 cnf(c_0_2116_0,axiom,op(e4,e4)!=op(e4,e5),inference(unfold_definition, [status(thm)], [c_0_2116, def_lhs_atom290])).+% 0.08/0.37 cnf(c_0_2117_0,axiom,op(e5,e0)!=op(e5,e1),inference(unfold_definition, [status(thm)], [c_0_2117, def_lhs_atom289])).+% 0.08/0.37 cnf(c_0_2118_0,axiom,op(e5,e0)!=op(e5,e2),inference(unfold_definition, [status(thm)], [c_0_2118, def_lhs_atom288])).+% 0.08/0.37 cnf(c_0_2119_0,axiom,op(e5,e0)!=op(e5,e3),inference(unfold_definition, [status(thm)], [c_0_2119, def_lhs_atom287])).+% 0.08/0.37 cnf(c_0_2120_0,axiom,op(e5,e0)!=op(e5,e4),inference(unfold_definition, [status(thm)], [c_0_2120, def_lhs_atom286])).+% 0.08/0.37 cnf(c_0_2121_0,axiom,op(e5,e0)!=op(e5,e5),inference(unfold_definition, [status(thm)], [c_0_2121, def_lhs_atom285])).+% 0.08/0.37 cnf(c_0_2122_0,axiom,op(e5,e1)!=op(e5,e2),inference(unfold_definition, [status(thm)], [c_0_2122, def_lhs_atom284])).+% 0.08/0.37 cnf(c_0_2123_0,axiom,op(e5,e1)!=op(e5,e3),inference(unfold_definition, [status(thm)], [c_0_2123, def_lhs_atom283])).+% 0.08/0.37 cnf(c_0_2124_0,axiom,op(e5,e1)!=op(e5,e4),inference(unfold_definition, [status(thm)], [c_0_2124, def_lhs_atom282])).+% 0.08/0.37 cnf(c_0_2125_0,axiom,op(e5,e1)!=op(e5,e5),inference(unfold_definition, [status(thm)], [c_0_2125, def_lhs_atom281])).+% 0.08/0.37 cnf(c_0_2126_0,axiom,op(e5,e2)!=op(e5,e3),inference(unfold_definition, [status(thm)], [c_0_2126, def_lhs_atom280])).+% 0.08/0.37 cnf(c_0_2127_0,axiom,op(e5,e2)!=op(e5,e4),inference(unfold_definition, [status(thm)], [c_0_2127, def_lhs_atom279])).+% 0.08/0.37 cnf(c_0_2128_0,axiom,op(e5,e2)!=op(e5,e5),inference(unfold_definition, [status(thm)], [c_0_2128, def_lhs_atom278])).+% 0.08/0.37 cnf(c_0_2129_0,axiom,op(e5,e3)!=op(e5,e4),inference(unfold_definition, [status(thm)], [c_0_2129, def_lhs_atom277])).+% 0.08/0.37 cnf(c_0_2130_0,axiom,op(e5,e3)!=op(e5,e5),inference(unfold_definition, [status(thm)], [c_0_2130, def_lhs_atom276])).+% 0.08/0.37 cnf(c_0_2131_0,axiom,op(e5,e4)!=op(e5,e5),inference(unfold_definition, [status(thm)], [c_0_2131, def_lhs_atom275])).+% 0.08/0.37 cnf(c_0_2132_0,axiom,inv(e0)!=inv(e1),inference(unfold_definition, [status(thm)], [c_0_2132, def_lhs_atom274])).+% 0.08/0.37 cnf(c_0_2133_0,axiom,inv(e0)!=inv(e2),inference(unfold_definition, [status(thm)], [c_0_2133, def_lhs_atom273])).+% 0.08/0.37 cnf(c_0_2134_0,axiom,inv(e0)!=inv(e3),inference(unfold_definition, [status(thm)], [c_0_2134, def_lhs_atom272])).+% 0.08/0.37 cnf(c_0_2135_0,axiom,inv(e0)!=inv(e4),inference(unfold_definition, [status(thm)], [c_0_2135, def_lhs_atom271])).+% 0.08/0.37 cnf(c_0_2136_0,axiom,inv(e0)!=inv(e5),inference(unfold_definition, [status(thm)], [c_0_2136, def_lhs_atom270])).+% 0.08/0.37 cnf(c_0_2137_0,axiom,inv(e1)!=inv(e2),inference(unfold_definition, [status(thm)], [c_0_2137, def_lhs_atom269])).+% 0.08/0.37 cnf(c_0_2138_0,axiom,inv(e1)!=inv(e3),inference(unfold_definition, [status(thm)], [c_0_2138, def_lhs_atom268])).+% 0.08/0.37 cnf(c_0_2139_0,axiom,inv(e1)!=inv(e4),inference(unfold_definition, [status(thm)], [c_0_2139, def_lhs_atom267])).+% 0.08/0.37 cnf(c_0_2140_0,axiom,inv(e1)!=inv(e5),inference(unfold_definition, [status(thm)], [c_0_2140, def_lhs_atom266])).+% 0.08/0.37 cnf(c_0_2141_0,axiom,inv(e2)!=inv(e3),inference(unfold_definition, [status(thm)], [c_0_2141, def_lhs_atom265])).+% 0.08/0.37 cnf(c_0_2142_0,axiom,inv(e2)!=inv(e4),inference(unfold_definition, [status(thm)], [c_0_2142, def_lhs_atom264])).+% 0.08/0.37 cnf(c_0_2143_0,axiom,inv(e2)!=inv(e5),inference(unfold_definition, [status(thm)], [c_0_2143, def_lhs_atom263])).+% 0.08/0.37 cnf(c_0_2144_0,axiom,inv(e3)!=inv(e4),inference(unfold_definition, [status(thm)], [c_0_2144, def_lhs_atom262])).+% 0.08/0.37 cnf(c_0_2145_0,axiom,inv(e3)!=inv(e5),inference(unfold_definition, [status(thm)], [c_0_2145, def_lhs_atom261])).+% 0.08/0.37 cnf(c_0_2146_0,axiom,inv(e4)!=inv(e5),inference(unfold_definition, [status(thm)], [c_0_2146, def_lhs_atom260])).+% 0.08/0.37 cnf(c_0_2147_0,axiom,inv(inv(e0))=e0,inference(unfold_definition, [status(thm)], [c_0_2147, def_lhs_atom223])).+% 0.08/0.37 cnf(c_0_2148_0,axiom,inv(inv(e1))=e1,inference(unfold_definition, [status(thm)], [c_0_2148, def_lhs_atom222])).+% 0.08/0.37 cnf(c_0_2149_0,axiom,inv(inv(e2))=e2,inference(unfold_definition, [status(thm)], [c_0_2149, def_lhs_atom221])).+% 0.08/0.37 cnf(c_0_2150_0,axiom,inv(inv(e3))=e3,inference(unfold_definition, [status(thm)], [c_0_2150, def_lhs_atom220])).+% 0.08/0.37 cnf(c_0_2151_0,axiom,inv(inv(e4))=e4,inference(unfold_definition, [status(thm)], [c_0_2151, def_lhs_atom219])).+% 0.08/0.37 cnf(c_0_2152_0,axiom,inv(inv(e5))=e5,inference(unfold_definition, [status(thm)], [c_0_2152, def_lhs_atom218])).+% 0.08/0.37 cnf(c_0_2153_0,axiom,inv(unit)=unit,inference(unfold_definition, [status(thm)], [c_0_2153, def_lhs_atom217])).+% 0.08/0.37 cnf(c_0_2154_0,axiom,op(op(e0,e0),e0)=op(e0,op(e0,e0)),inference(unfold_definition, [status(thm)], [c_0_2154, def_lhs_atom216])).+% 0.08/0.37 cnf(c_0_2155_0,axiom,op(op(e0,e0),e1)=op(e0,op(e0,e1)),inference(unfold_definition, [status(thm)], [c_0_2155, def_lhs_atom215])).+% 0.08/0.37 cnf(c_0_2156_0,axiom,op(op(e0,e0),e2)=op(e0,op(e0,e2)),inference(unfold_definition, [status(thm)], [c_0_2156, def_lhs_atom214])).+% 0.08/0.37 cnf(c_0_2157_0,axiom,op(op(e0,e0),e3)=op(e0,op(e0,e3)),inference(unfold_definition, [status(thm)], [c_0_2157, def_lhs_atom213])).+% 0.08/0.37 cnf(c_0_2158_0,axiom,op(op(e0,e0),e4)=op(e0,op(e0,e4)),inference(unfold_definition, [status(thm)], [c_0_2158, def_lhs_atom212])).+% 0.08/0.37 cnf(c_0_2159_0,axiom,op(op(e0,e0),e5)=op(e0,op(e0,e5)),inference(unfold_definition, [status(thm)], [c_0_2159, def_lhs_atom211])).+% 0.08/0.37 cnf(c_0_2160_0,axiom,op(op(e0,e1),e0)=op(e0,op(e1,e0)),inference(unfold_definition, [status(thm)], [c_0_2160, def_lhs_atom210])).+% 0.08/0.37 cnf(c_0_2161_0,axiom,op(op(e0,e1),e1)=op(e0,op(e1,e1)),inference(unfold_definition, [status(thm)], [c_0_2161, def_lhs_atom209])).+% 0.08/0.37 cnf(c_0_2162_0,axiom,op(op(e0,e1),e2)=op(e0,op(e1,e2)),inference(unfold_definition, [status(thm)], [c_0_2162, def_lhs_atom208])).+% 0.08/0.37 cnf(c_0_2163_0,axiom,op(op(e0,e1),e3)=op(e0,op(e1,e3)),inference(unfold_definition, [status(thm)], [c_0_2163, def_lhs_atom207])).+% 0.08/0.37 cnf(c_0_2164_0,axiom,op(op(e0,e1),e4)=op(e0,op(e1,e4)),inference(unfold_definition, [status(thm)], [c_0_2164, def_lhs_atom206])).+% 0.08/0.37 cnf(c_0_2165_0,axiom,op(op(e0,e1),e5)=op(e0,op(e1,e5)),inference(unfold_definition, [status(thm)], [c_0_2165, def_lhs_atom205])).+% 0.08/0.37 cnf(c_0_2166_0,axiom,op(op(e0,e2),e0)=op(e0,op(e2,e0)),inference(unfold_definition, [status(thm)], [c_0_2166, def_lhs_atom204])).+% 0.08/0.37 cnf(c_0_2167_0,axiom,op(op(e0,e2),e1)=op(e0,op(e2,e1)),inference(unfold_definition, [status(thm)], [c_0_2167, def_lhs_atom203])).+% 0.08/0.37 cnf(c_0_2168_0,axiom,op(op(e0,e2),e2)=op(e0,op(e2,e2)),inference(unfold_definition, [status(thm)], [c_0_2168, def_lhs_atom202])).+% 0.08/0.37 cnf(c_0_2169_0,axiom,op(op(e0,e2),e3)=op(e0,op(e2,e3)),inference(unfold_definition, [status(thm)], [c_0_2169, def_lhs_atom201])).+% 0.08/0.37 cnf(c_0_2170_0,axiom,op(op(e0,e2),e4)=op(e0,op(e2,e4)),inference(unfold_definition, [status(thm)], [c_0_2170, def_lhs_atom200])).+% 0.08/0.37 cnf(c_0_2171_0,axiom,op(op(e0,e2),e5)=op(e0,op(e2,e5)),inference(unfold_definition, [status(thm)], [c_0_2171, def_lhs_atom199])).+% 0.08/0.37 cnf(c_0_2172_0,axiom,op(op(e0,e3),e0)=op(e0,op(e3,e0)),inference(unfold_definition, [status(thm)], [c_0_2172, def_lhs_atom198])).+% 0.08/0.37 cnf(c_0_2173_0,axiom,op(op(e0,e3),e1)=op(e0,op(e3,e1)),inference(unfold_definition, [status(thm)], [c_0_2173, def_lhs_atom197])).+% 0.08/0.37 cnf(c_0_2174_0,axiom,op(op(e0,e3),e2)=op(e0,op(e3,e2)),inference(unfold_definition, [status(thm)], [c_0_2174, def_lhs_atom196])).+% 0.08/0.37 cnf(c_0_2175_0,axiom,op(op(e0,e3),e3)=op(e0,op(e3,e3)),inference(unfold_definition, [status(thm)], [c_0_2175, def_lhs_atom195])).+% 0.08/0.37 cnf(c_0_2176_0,axiom,op(op(e0,e3),e4)=op(e0,op(e3,e4)),inference(unfold_definition, [status(thm)], [c_0_2176, def_lhs_atom194])).+% 0.08/0.37 cnf(c_0_2177_0,axiom,op(op(e0,e3),e5)=op(e0,op(e3,e5)),inference(unfold_definition, [status(thm)], [c_0_2177, def_lhs_atom193])).+% 0.08/0.37 cnf(c_0_2178_0,axiom,op(op(e0,e4),e0)=op(e0,op(e4,e0)),inference(unfold_definition, [status(thm)], [c_0_2178, def_lhs_atom192])).+% 0.08/0.37 cnf(c_0_2179_0,axiom,op(op(e0,e4),e1)=op(e0,op(e4,e1)),inference(unfold_definition, [status(thm)], [c_0_2179, def_lhs_atom191])).+% 0.08/0.37 cnf(c_0_2180_0,axiom,op(op(e0,e4),e2)=op(e0,op(e4,e2)),inference(unfold_definition, [status(thm)], [c_0_2180, def_lhs_atom190])).+% 0.08/0.37 cnf(c_0_2181_0,axiom,op(op(e0,e4),e3)=op(e0,op(e4,e3)),inference(unfold_definition, [status(thm)], [c_0_2181, def_lhs_atom189])).+% 0.08/0.37 cnf(c_0_2182_0,axiom,op(op(e0,e4),e4)=op(e0,op(e4,e4)),inference(unfold_definition, [status(thm)], [c_0_2182, def_lhs_atom188])).+% 0.08/0.37 cnf(c_0_2183_0,axiom,op(op(e0,e4),e5)=op(e0,op(e4,e5)),inference(unfold_definition, [status(thm)], [c_0_2183, def_lhs_atom187])).+% 0.08/0.37 cnf(c_0_2184_0,axiom,op(op(e0,e5),e0)=op(e0,op(e5,e0)),inference(unfold_definition, [status(thm)], [c_0_2184, def_lhs_atom186])).+% 0.08/0.37 cnf(c_0_2185_0,axiom,op(op(e0,e5),e1)=op(e0,op(e5,e1)),inference(unfold_definition, [status(thm)], [c_0_2185, def_lhs_atom185])).+% 0.08/0.37 cnf(c_0_2186_0,axiom,op(op(e0,e5),e2)=op(e0,op(e5,e2)),inference(unfold_definition, [status(thm)], [c_0_2186, def_lhs_atom184])).+% 0.08/0.37 cnf(c_0_2187_0,axiom,op(op(e0,e5),e3)=op(e0,op(e5,e3)),inference(unfold_definition, [status(thm)], [c_0_2187, def_lhs_atom183])).+% 0.08/0.37 cnf(c_0_2188_0,axiom,op(op(e0,e5),e4)=op(e0,op(e5,e4)),inference(unfold_definition, [status(thm)], [c_0_2188, def_lhs_atom182])).+% 0.08/0.37 cnf(c_0_2189_0,axiom,op(op(e0,e5),e5)=op(e0,op(e5,e5)),inference(unfold_definition, [status(thm)], [c_0_2189, def_lhs_atom181])).+% 0.08/0.37 cnf(c_0_2190_0,axiom,op(op(e1,e0),e0)=op(e1,op(e0,e0)),inference(unfold_definition, [status(thm)], [c_0_2190, def_lhs_atom180])).+% 0.08/0.37 cnf(c_0_2191_0,axiom,op(op(e1,e0),e1)=op(e1,op(e0,e1)),inference(unfold_definition, [status(thm)], [c_0_2191, def_lhs_atom179])).+% 0.08/0.37 cnf(c_0_2192_0,axiom,op(op(e1,e0),e2)=op(e1,op(e0,e2)),inference(unfold_definition, [status(thm)], [c_0_2192, def_lhs_atom178])).+% 0.08/0.37 cnf(c_0_2193_0,axiom,op(op(e1,e0),e3)=op(e1,op(e0,e3)),inference(unfold_definition, [status(thm)], [c_0_2193, def_lhs_atom177])).+% 0.08/0.37 cnf(c_0_2194_0,axiom,op(op(e1,e0),e4)=op(e1,op(e0,e4)),inference(unfold_definition, [status(thm)], [c_0_2194, def_lhs_atom176])).+% 0.08/0.37 cnf(c_0_2195_0,axiom,op(op(e1,e0),e5)=op(e1,op(e0,e5)),inference(unfold_definition, [status(thm)], [c_0_2195, def_lhs_atom175])).+% 0.08/0.37 cnf(c_0_2196_0,axiom,op(op(e1,e1),e0)=op(e1,op(e1,e0)),inference(unfold_definition, [status(thm)], [c_0_2196, def_lhs_atom174])).+% 0.08/0.37 cnf(c_0_2197_0,axiom,op(op(e1,e1),e1)=op(e1,op(e1,e1)),inference(unfold_definition, [status(thm)], [c_0_2197, def_lhs_atom173])).+% 0.08/0.37 cnf(c_0_2198_0,axiom,op(op(e1,e1),e2)=op(e1,op(e1,e2)),inference(unfold_definition, [status(thm)], [c_0_2198, def_lhs_atom172])).+% 0.08/0.37 cnf(c_0_2199_0,axiom,op(op(e1,e1),e3)=op(e1,op(e1,e3)),inference(unfold_definition, [status(thm)], [c_0_2199, def_lhs_atom171])).+% 0.08/0.37 cnf(c_0_2200_0,axiom,op(op(e1,e1),e4)=op(e1,op(e1,e4)),inference(unfold_definition, [status(thm)], [c_0_2200, def_lhs_atom170])).+% 0.08/0.37 cnf(c_0_2201_0,axiom,op(op(e1,e1),e5)=op(e1,op(e1,e5)),inference(unfold_definition, [status(thm)], [c_0_2201, def_lhs_atom169])).+% 0.08/0.37 cnf(c_0_2202_0,axiom,op(op(e1,e2),e0)=op(e1,op(e2,e0)),inference(unfold_definition, [status(thm)], [c_0_2202, def_lhs_atom168])).+% 0.08/0.37 cnf(c_0_2203_0,axiom,op(op(e1,e2),e1)=op(e1,op(e2,e1)),inference(unfold_definition, [status(thm)], [c_0_2203, def_lhs_atom167])).+% 0.08/0.37 cnf(c_0_2204_0,axiom,op(op(e1,e2),e2)=op(e1,op(e2,e2)),inference(unfold_definition, [status(thm)], [c_0_2204, def_lhs_atom166])).+% 0.08/0.37 cnf(c_0_2205_0,axiom,op(op(e1,e2),e3)=op(e1,op(e2,e3)),inference(unfold_definition, [status(thm)], [c_0_2205, def_lhs_atom165])).+% 0.08/0.37 cnf(c_0_2206_0,axiom,op(op(e1,e2),e4)=op(e1,op(e2,e4)),inference(unfold_definition, [status(thm)], [c_0_2206, def_lhs_atom164])).+% 0.08/0.37 cnf(c_0_2207_0,axiom,op(op(e1,e2),e5)=op(e1,op(e2,e5)),inference(unfold_definition, [status(thm)], [c_0_2207, def_lhs_atom163])).+% 0.08/0.37 cnf(c_0_2208_0,axiom,op(op(e1,e3),e0)=op(e1,op(e3,e0)),inference(unfold_definition, [status(thm)], [c_0_2208, def_lhs_atom162])).+% 0.08/0.37 cnf(c_0_2209_0,axiom,op(op(e1,e3),e1)=op(e1,op(e3,e1)),inference(unfold_definition, [status(thm)], [c_0_2209, def_lhs_atom161])).+% 0.08/0.37 cnf(c_0_2210_0,axiom,op(op(e1,e3),e2)=op(e1,op(e3,e2)),inference(unfold_definition, [status(thm)], [c_0_2210, def_lhs_atom160])).+% 0.08/0.37 cnf(c_0_2211_0,axiom,op(op(e1,e3),e3)=op(e1,op(e3,e3)),inference(unfold_definition, [status(thm)], [c_0_2211, def_lhs_atom159])).+% 0.08/0.37 cnf(c_0_2212_0,axiom,op(op(e1,e3),e4)=op(e1,op(e3,e4)),inference(unfold_definition, [status(thm)], [c_0_2212, def_lhs_atom158])).+% 0.08/0.37 cnf(c_0_2213_0,axiom,op(op(e1,e3),e5)=op(e1,op(e3,e5)),inference(unfold_definition, [status(thm)], [c_0_2213, def_lhs_atom157])).+% 0.08/0.37 cnf(c_0_2214_0,axiom,op(op(e1,e4),e0)=op(e1,op(e4,e0)),inference(unfold_definition, [status(thm)], [c_0_2214, def_lhs_atom156])).+% 0.08/0.37 cnf(c_0_2215_0,axiom,op(op(e1,e4),e1)=op(e1,op(e4,e1)),inference(unfold_definition, [status(thm)], [c_0_2215, def_lhs_atom155])).+% 0.08/0.37 cnf(c_0_2216_0,axiom,op(op(e1,e4),e2)=op(e1,op(e4,e2)),inference(unfold_definition, [status(thm)], [c_0_2216, def_lhs_atom154])).+% 0.08/0.37 cnf(c_0_2217_0,axiom,op(op(e1,e4),e3)=op(e1,op(e4,e3)),inference(unfold_definition, [status(thm)], [c_0_2217, def_lhs_atom153])).+% 0.08/0.37 cnf(c_0_2218_0,axiom,op(op(e1,e4),e4)=op(e1,op(e4,e4)),inference(unfold_definition, [status(thm)], [c_0_2218, def_lhs_atom152])).+% 0.08/0.37 cnf(c_0_2219_0,axiom,op(op(e1,e4),e5)=op(e1,op(e4,e5)),inference(unfold_definition, [status(thm)], [c_0_2219, def_lhs_atom151])).+% 0.08/0.37 cnf(c_0_2220_0,axiom,op(op(e1,e5),e0)=op(e1,op(e5,e0)),inference(unfold_definition, [status(thm)], [c_0_2220, def_lhs_atom150])).+% 0.08/0.37 cnf(c_0_2221_0,axiom,op(op(e1,e5),e1)=op(e1,op(e5,e1)),inference(unfold_definition, [status(thm)], [c_0_2221, def_lhs_atom149])).+% 0.08/0.37 cnf(c_0_2222_0,axiom,op(op(e1,e5),e2)=op(e1,op(e5,e2)),inference(unfold_definition, [status(thm)], [c_0_2222, def_lhs_atom148])).+% 0.08/0.37 cnf(c_0_2223_0,axiom,op(op(e1,e5),e3)=op(e1,op(e5,e3)),inference(unfold_definition, [status(thm)], [c_0_2223, def_lhs_atom147])).+% 0.08/0.37 cnf(c_0_2224_0,axiom,op(op(e1,e5),e4)=op(e1,op(e5,e4)),inference(unfold_definition, [status(thm)], [c_0_2224, def_lhs_atom146])).+% 0.08/0.37 cnf(c_0_2225_0,axiom,op(op(e1,e5),e5)=op(e1,op(e5,e5)),inference(unfold_definition, [status(thm)], [c_0_2225, def_lhs_atom145])).+% 0.08/0.37 cnf(c_0_2226_0,axiom,op(op(e2,e0),e0)=op(e2,op(e0,e0)),inference(unfold_definition, [status(thm)], [c_0_2226, def_lhs_atom144])).+% 0.08/0.37 cnf(c_0_2227_0,axiom,op(op(e2,e0),e1)=op(e2,op(e0,e1)),inference(unfold_definition, [status(thm)], [c_0_2227, def_lhs_atom143])).+% 0.08/0.37 cnf(c_0_2228_0,axiom,op(op(e2,e0),e2)=op(e2,op(e0,e2)),inference(unfold_definition, [status(thm)], [c_0_2228, def_lhs_atom142])).+% 0.08/0.37 cnf(c_0_2229_0,axiom,op(op(e2,e0),e3)=op(e2,op(e0,e3)),inference(unfold_definition, [status(thm)], [c_0_2229, def_lhs_atom141])).+% 0.08/0.37 cnf(c_0_2230_0,axiom,op(op(e2,e0),e4)=op(e2,op(e0,e4)),inference(unfold_definition, [status(thm)], [c_0_2230, def_lhs_atom140])).+% 0.08/0.37 cnf(c_0_2231_0,axiom,op(op(e2,e0),e5)=op(e2,op(e0,e5)),inference(unfold_definition, [status(thm)], [c_0_2231, def_lhs_atom139])).+% 0.08/0.37 cnf(c_0_2232_0,axiom,op(op(e2,e1),e0)=op(e2,op(e1,e0)),inference(unfold_definition, [status(thm)], [c_0_2232, def_lhs_atom138])).+% 0.08/0.37 cnf(c_0_2233_0,axiom,op(op(e2,e1),e1)=op(e2,op(e1,e1)),inference(unfold_definition, [status(thm)], [c_0_2233, def_lhs_atom137])).+% 0.08/0.37 cnf(c_0_2234_0,axiom,op(op(e2,e1),e2)=op(e2,op(e1,e2)),inference(unfold_definition, [status(thm)], [c_0_2234, def_lhs_atom136])).+% 0.08/0.37 cnf(c_0_2235_0,axiom,op(op(e2,e1),e3)=op(e2,op(e1,e3)),inference(unfold_definition, [status(thm)], [c_0_2235, def_lhs_atom135])).+% 0.08/0.37 cnf(c_0_2236_0,axiom,op(op(e2,e1),e4)=op(e2,op(e1,e4)),inference(unfold_definition, [status(thm)], [c_0_2236, def_lhs_atom134])).+% 0.08/0.37 cnf(c_0_2237_0,axiom,op(op(e2,e1),e5)=op(e2,op(e1,e5)),inference(unfold_definition, [status(thm)], [c_0_2237, def_lhs_atom133])).+% 0.08/0.37 cnf(c_0_2238_0,axiom,op(op(e2,e2),e0)=op(e2,op(e2,e0)),inference(unfold_definition, [status(thm)], [c_0_2238, def_lhs_atom132])).+% 0.08/0.37 cnf(c_0_2239_0,axiom,op(op(e2,e2),e1)=op(e2,op(e2,e1)),inference(unfold_definition, [status(thm)], [c_0_2239, def_lhs_atom131])).+% 0.08/0.37 cnf(c_0_2240_0,axiom,op(op(e2,e2),e2)=op(e2,op(e2,e2)),inference(unfold_definition, [status(thm)], [c_0_2240, def_lhs_atom130])).+% 0.08/0.37 cnf(c_0_2241_0,axiom,op(op(e2,e2),e3)=op(e2,op(e2,e3)),inference(unfold_definition, [status(thm)], [c_0_2241, def_lhs_atom129])).+% 0.08/0.37 cnf(c_0_2242_0,axiom,op(op(e2,e2),e4)=op(e2,op(e2,e4)),inference(unfold_definition, [status(thm)], [c_0_2242, def_lhs_atom128])).+% 0.08/0.37 cnf(c_0_2243_0,axiom,op(op(e2,e2),e5)=op(e2,op(e2,e5)),inference(unfold_definition, [status(thm)], [c_0_2243, def_lhs_atom127])).+% 0.08/0.37 cnf(c_0_2244_0,axiom,op(op(e2,e3),e0)=op(e2,op(e3,e0)),inference(unfold_definition, [status(thm)], [c_0_2244, def_lhs_atom126])).+% 0.08/0.37 cnf(c_0_2245_0,axiom,op(op(e2,e3),e1)=op(e2,op(e3,e1)),inference(unfold_definition, [status(thm)], [c_0_2245, def_lhs_atom125])).+% 0.08/0.37 cnf(c_0_2246_0,axiom,op(op(e2,e3),e2)=op(e2,op(e3,e2)),inference(unfold_definition, [status(thm)], [c_0_2246, def_lhs_atom124])).+% 0.08/0.37 cnf(c_0_2247_0,axiom,op(op(e2,e3),e3)=op(e2,op(e3,e3)),inference(unfold_definition, [status(thm)], [c_0_2247, def_lhs_atom123])).+% 0.08/0.37 cnf(c_0_2248_0,axiom,op(op(e2,e3),e4)=op(e2,op(e3,e4)),inference(unfold_definition, [status(thm)], [c_0_2248, def_lhs_atom122])).+% 0.08/0.37 cnf(c_0_2249_0,axiom,op(op(e2,e3),e5)=op(e2,op(e3,e5)),inference(unfold_definition, [status(thm)], [c_0_2249, def_lhs_atom121])).+% 0.08/0.37 cnf(c_0_2250_0,axiom,op(op(e2,e4),e0)=op(e2,op(e4,e0)),inference(unfold_definition, [status(thm)], [c_0_2250, def_lhs_atom120])).+% 0.08/0.37 cnf(c_0_2251_0,axiom,op(op(e2,e4),e1)=op(e2,op(e4,e1)),inference(unfold_definition, [status(thm)], [c_0_2251, def_lhs_atom119])).+% 0.08/0.37 cnf(c_0_2252_0,axiom,op(op(e2,e4),e2)=op(e2,op(e4,e2)),inference(unfold_definition, [status(thm)], [c_0_2252, def_lhs_atom118])).+% 0.08/0.37 cnf(c_0_2253_0,axiom,op(op(e2,e4),e3)=op(e2,op(e4,e3)),inference(unfold_definition, [status(thm)], [c_0_2253, def_lhs_atom117])).+% 0.08/0.37 cnf(c_0_2254_0,axiom,op(op(e2,e4),e4)=op(e2,op(e4,e4)),inference(unfold_definition, [status(thm)], [c_0_2254, def_lhs_atom116])).+% 0.08/0.37 cnf(c_0_2255_0,axiom,op(op(e2,e4),e5)=op(e2,op(e4,e5)),inference(unfold_definition, [status(thm)], [c_0_2255, def_lhs_atom115])).+% 0.08/0.37 cnf(c_0_2256_0,axiom,op(op(e2,e5),e0)=op(e2,op(e5,e0)),inference(unfold_definition, [status(thm)], [c_0_2256, def_lhs_atom114])).+% 0.08/0.37 cnf(c_0_2257_0,axiom,op(op(e2,e5),e1)=op(e2,op(e5,e1)),inference(unfold_definition, [status(thm)], [c_0_2257, def_lhs_atom113])).+% 0.08/0.37 cnf(c_0_2258_0,axiom,op(op(e2,e5),e2)=op(e2,op(e5,e2)),inference(unfold_definition, [status(thm)], [c_0_2258, def_lhs_atom112])).+% 0.08/0.37 cnf(c_0_2259_0,axiom,op(op(e2,e5),e3)=op(e2,op(e5,e3)),inference(unfold_definition, [status(thm)], [c_0_2259, def_lhs_atom111])).+% 0.08/0.37 cnf(c_0_2260_0,axiom,op(op(e2,e5),e4)=op(e2,op(e5,e4)),inference(unfold_definition, [status(thm)], [c_0_2260, def_lhs_atom110])).+% 0.08/0.37 cnf(c_0_2261_0,axiom,op(op(e2,e5),e5)=op(e2,op(e5,e5)),inference(unfold_definition, [status(thm)], [c_0_2261, def_lhs_atom109])).+% 0.08/0.37 cnf(c_0_2262_0,axiom,op(op(e3,e0),e0)=op(e3,op(e0,e0)),inference(unfold_definition, [status(thm)], [c_0_2262, def_lhs_atom108])).+% 0.08/0.37 cnf(c_0_2263_0,axiom,op(op(e3,e0),e1)=op(e3,op(e0,e1)),inference(unfold_definition, [status(thm)], [c_0_2263, def_lhs_atom107])).+% 0.08/0.37 cnf(c_0_2264_0,axiom,op(op(e3,e0),e2)=op(e3,op(e0,e2)),inference(unfold_definition, [status(thm)], [c_0_2264, def_lhs_atom106])).+% 0.08/0.37 cnf(c_0_2265_0,axiom,op(op(e3,e0),e3)=op(e3,op(e0,e3)),inference(unfold_definition, [status(thm)], [c_0_2265, def_lhs_atom105])).+% 0.08/0.37 cnf(c_0_2266_0,axiom,op(op(e3,e0),e4)=op(e3,op(e0,e4)),inference(unfold_definition, [status(thm)], [c_0_2266, def_lhs_atom104])).+% 0.08/0.37 cnf(c_0_2267_0,axiom,op(op(e3,e0),e5)=op(e3,op(e0,e5)),inference(unfold_definition, [status(thm)], [c_0_2267, def_lhs_atom103])).+% 0.08/0.37 cnf(c_0_2268_0,axiom,op(op(e3,e1),e0)=op(e3,op(e1,e0)),inference(unfold_definition, [status(thm)], [c_0_2268, def_lhs_atom102])).+% 0.08/0.37 cnf(c_0_2269_0,axiom,op(op(e3,e1),e1)=op(e3,op(e1,e1)),inference(unfold_definition, [status(thm)], [c_0_2269, def_lhs_atom101])).+% 0.08/0.37 cnf(c_0_2270_0,axiom,op(op(e3,e1),e2)=op(e3,op(e1,e2)),inference(unfold_definition, [status(thm)], [c_0_2270, def_lhs_atom100])).+% 0.08/0.37 cnf(c_0_2271_0,axiom,op(op(e3,e1),e3)=op(e3,op(e1,e3)),inference(unfold_definition, [status(thm)], [c_0_2271, def_lhs_atom99])).+% 0.08/0.37 cnf(c_0_2272_0,axiom,op(op(e3,e1),e4)=op(e3,op(e1,e4)),inference(unfold_definition, [status(thm)], [c_0_2272, def_lhs_atom98])).+% 0.08/0.37 cnf(c_0_2273_0,axiom,op(op(e3,e1),e5)=op(e3,op(e1,e5)),inference(unfold_definition, [status(thm)], [c_0_2273, def_lhs_atom97])).+% 0.08/0.37 cnf(c_0_2274_0,axiom,op(op(e3,e2),e0)=op(e3,op(e2,e0)),inference(unfold_definition, [status(thm)], [c_0_2274, def_lhs_atom96])).+% 0.08/0.37 cnf(c_0_2275_0,axiom,op(op(e3,e2),e1)=op(e3,op(e2,e1)),inference(unfold_definition, [status(thm)], [c_0_2275, def_lhs_atom95])).+% 0.08/0.37 cnf(c_0_2276_0,axiom,op(op(e3,e2),e2)=op(e3,op(e2,e2)),inference(unfold_definition, [status(thm)], [c_0_2276, def_lhs_atom94])).+% 0.08/0.37 cnf(c_0_2277_0,axiom,op(op(e3,e2),e3)=op(e3,op(e2,e3)),inference(unfold_definition, [status(thm)], [c_0_2277, def_lhs_atom93])).+% 0.08/0.37 cnf(c_0_2278_0,axiom,op(op(e3,e2),e4)=op(e3,op(e2,e4)),inference(unfold_definition, [status(thm)], [c_0_2278, def_lhs_atom92])).+% 0.08/0.37 cnf(c_0_2279_0,axiom,op(op(e3,e2),e5)=op(e3,op(e2,e5)),inference(unfold_definition, [status(thm)], [c_0_2279, def_lhs_atom91])).+% 0.08/0.37 cnf(c_0_2280_0,axiom,op(op(e3,e3),e0)=op(e3,op(e3,e0)),inference(unfold_definition, [status(thm)], [c_0_2280, def_lhs_atom90])).+% 0.08/0.37 cnf(c_0_2281_0,axiom,op(op(e3,e3),e1)=op(e3,op(e3,e1)),inference(unfold_definition, [status(thm)], [c_0_2281, def_lhs_atom89])).+% 0.08/0.37 cnf(c_0_2282_0,axiom,op(op(e3,e3),e2)=op(e3,op(e3,e2)),inference(unfold_definition, [status(thm)], [c_0_2282, def_lhs_atom88])).+% 0.08/0.37 cnf(c_0_2283_0,axiom,op(op(e3,e3),e3)=op(e3,op(e3,e3)),inference(unfold_definition, [status(thm)], [c_0_2283, def_lhs_atom87])).+% 0.08/0.37 cnf(c_0_2284_0,axiom,op(op(e3,e3),e4)=op(e3,op(e3,e4)),inference(unfold_definition, [status(thm)], [c_0_2284, def_lhs_atom86])).+% 0.08/0.37 cnf(c_0_2285_0,axiom,op(op(e3,e3),e5)=op(e3,op(e3,e5)),inference(unfold_definition, [status(thm)], [c_0_2285, def_lhs_atom85])).+% 0.08/0.37 cnf(c_0_2286_0,axiom,op(op(e3,e4),e0)=op(e3,op(e4,e0)),inference(unfold_definition, [status(thm)], [c_0_2286, def_lhs_atom84])).+% 0.08/0.37 cnf(c_0_2287_0,axiom,op(op(e3,e4),e1)=op(e3,op(e4,e1)),inference(unfold_definition, [status(thm)], [c_0_2287, def_lhs_atom83])).+% 0.08/0.37 cnf(c_0_2288_0,axiom,op(op(e3,e4),e2)=op(e3,op(e4,e2)),inference(unfold_definition, [status(thm)], [c_0_2288, def_lhs_atom82])).+% 0.08/0.37 cnf(c_0_2289_0,axiom,op(op(e3,e4),e3)=op(e3,op(e4,e3)),inference(unfold_definition, [status(thm)], [c_0_2289, def_lhs_atom81])).+% 0.08/0.37 cnf(c_0_2290_0,axiom,op(op(e3,e4),e4)=op(e3,op(e4,e4)),inference(unfold_definition, [status(thm)], [c_0_2290, def_lhs_atom80])).+% 0.08/0.37 cnf(c_0_2291_0,axiom,op(op(e3,e4),e5)=op(e3,op(e4,e5)),inference(unfold_definition, [status(thm)], [c_0_2291, def_lhs_atom79])).+% 0.08/0.37 cnf(c_0_2292_0,axiom,op(op(e3,e5),e0)=op(e3,op(e5,e0)),inference(unfold_definition, [status(thm)], [c_0_2292, def_lhs_atom78])).+% 0.08/0.37 cnf(c_0_2293_0,axiom,op(op(e3,e5),e1)=op(e3,op(e5,e1)),inference(unfold_definition, [status(thm)], [c_0_2293, def_lhs_atom77])).+% 0.08/0.37 cnf(c_0_2294_0,axiom,op(op(e3,e5),e2)=op(e3,op(e5,e2)),inference(unfold_definition, [status(thm)], [c_0_2294, def_lhs_atom76])).+% 0.08/0.37 cnf(c_0_2295_0,axiom,op(op(e3,e5),e3)=op(e3,op(e5,e3)),inference(unfold_definition, [status(thm)], [c_0_2295, def_lhs_atom75])).+% 0.08/0.37 cnf(c_0_2296_0,axiom,op(op(e3,e5),e4)=op(e3,op(e5,e4)),inference(unfold_definition, [status(thm)], [c_0_2296, def_lhs_atom74])).+% 0.08/0.37 cnf(c_0_2297_0,axiom,op(op(e3,e5),e5)=op(e3,op(e5,e5)),inference(unfold_definition, [status(thm)], [c_0_2297, def_lhs_atom73])).+% 0.08/0.37 cnf(c_0_2298_0,axiom,op(op(e4,e0),e0)=op(e4,op(e0,e0)),inference(unfold_definition, [status(thm)], [c_0_2298, def_lhs_atom72])).+% 0.08/0.37 cnf(c_0_2299_0,axiom,op(op(e4,e0),e1)=op(e4,op(e0,e1)),inference(unfold_definition, [status(thm)], [c_0_2299, def_lhs_atom71])).+% 0.08/0.37 cnf(c_0_2300_0,axiom,op(op(e4,e0),e2)=op(e4,op(e0,e2)),inference(unfold_definition, [status(thm)], [c_0_2300, def_lhs_atom70])).+% 0.08/0.37 cnf(c_0_2301_0,axiom,op(op(e4,e0),e3)=op(e4,op(e0,e3)),inference(unfold_definition, [status(thm)], [c_0_2301, def_lhs_atom69])).+% 0.08/0.37 cnf(c_0_2302_0,axiom,op(op(e4,e0),e4)=op(e4,op(e0,e4)),inference(unfold_definition, [status(thm)], [c_0_2302, def_lhs_atom68])).+% 0.08/0.37 cnf(c_0_2303_0,axiom,op(op(e4,e0),e5)=op(e4,op(e0,e5)),inference(unfold_definition, [status(thm)], [c_0_2303, def_lhs_atom67])).+% 0.08/0.37 cnf(c_0_2304_0,axiom,op(op(e4,e1),e0)=op(e4,op(e1,e0)),inference(unfold_definition, [status(thm)], [c_0_2304, def_lhs_atom66])).+% 0.08/0.37 cnf(c_0_2305_0,axiom,op(op(e4,e1),e1)=op(e4,op(e1,e1)),inference(unfold_definition, [status(thm)], [c_0_2305, def_lhs_atom65])).+% 0.08/0.37 cnf(c_0_2306_0,axiom,op(op(e4,e1),e2)=op(e4,op(e1,e2)),inference(unfold_definition, [status(thm)], [c_0_2306, def_lhs_atom64])).+% 0.08/0.37 cnf(c_0_2307_0,axiom,op(op(e4,e1),e3)=op(e4,op(e1,e3)),inference(unfold_definition, [status(thm)], [c_0_2307, def_lhs_atom63])).+% 0.08/0.37 cnf(c_0_2308_0,axiom,op(op(e4,e1),e4)=op(e4,op(e1,e4)),inference(unfold_definition, [status(thm)], [c_0_2308, def_lhs_atom62])).+% 0.08/0.37 cnf(c_0_2309_0,axiom,op(op(e4,e1),e5)=op(e4,op(e1,e5)),inference(unfold_definition, [status(thm)], [c_0_2309, def_lhs_atom61])).+% 0.08/0.37 cnf(c_0_2310_0,axiom,op(op(e4,e2),e0)=op(e4,op(e2,e0)),inference(unfold_definition, [status(thm)], [c_0_2310, def_lhs_atom60])).+% 0.08/0.37 cnf(c_0_2311_0,axiom,op(op(e4,e2),e1)=op(e4,op(e2,e1)),inference(unfold_definition, [status(thm)], [c_0_2311, def_lhs_atom59])).+% 0.08/0.37 cnf(c_0_2312_0,axiom,op(op(e4,e2),e2)=op(e4,op(e2,e2)),inference(unfold_definition, [status(thm)], [c_0_2312, def_lhs_atom58])).+% 0.08/0.37 cnf(c_0_2313_0,axiom,op(op(e4,e2),e3)=op(e4,op(e2,e3)),inference(unfold_definition, [status(thm)], [c_0_2313, def_lhs_atom57])).+% 0.08/0.37 cnf(c_0_2314_0,axiom,op(op(e4,e2),e4)=op(e4,op(e2,e4)),inference(unfold_definition, [status(thm)], [c_0_2314, def_lhs_atom56])).+% 0.08/0.37 cnf(c_0_2315_0,axiom,op(op(e4,e2),e5)=op(e4,op(e2,e5)),inference(unfold_definition, [status(thm)], [c_0_2315, def_lhs_atom55])).+% 0.08/0.37 cnf(c_0_2316_0,axiom,op(op(e4,e3),e0)=op(e4,op(e3,e0)),inference(unfold_definition, [status(thm)], [c_0_2316, def_lhs_atom54])).+% 0.08/0.37 cnf(c_0_2317_0,axiom,op(op(e4,e3),e1)=op(e4,op(e3,e1)),inference(unfold_definition, [status(thm)], [c_0_2317, def_lhs_atom53])).+% 0.08/0.37 cnf(c_0_2318_0,axiom,op(op(e4,e3),e2)=op(e4,op(e3,e2)),inference(unfold_definition, [status(thm)], [c_0_2318, def_lhs_atom52])).+% 0.08/0.37 cnf(c_0_2319_0,axiom,op(op(e4,e3),e3)=op(e4,op(e3,e3)),inference(unfold_definition, [status(thm)], [c_0_2319, def_lhs_atom51])).+% 0.08/0.37 cnf(c_0_2320_0,axiom,op(op(e4,e3),e4)=op(e4,op(e3,e4)),inference(unfold_definition, [status(thm)], [c_0_2320, def_lhs_atom50])).+% 0.08/0.37 cnf(c_0_2321_0,axiom,op(op(e4,e3),e5)=op(e4,op(e3,e5)),inference(unfold_definition, [status(thm)], [c_0_2321, def_lhs_atom49])).+% 0.08/0.37 cnf(c_0_2322_0,axiom,op(op(e4,e4),e0)=op(e4,op(e4,e0)),inference(unfold_definition, [status(thm)], [c_0_2322, def_lhs_atom48])).+% 0.08/0.37 cnf(c_0_2323_0,axiom,op(op(e4,e4),e1)=op(e4,op(e4,e1)),inference(unfold_definition, [status(thm)], [c_0_2323, def_lhs_atom47])).+% 0.08/0.37 cnf(c_0_2324_0,axiom,op(op(e4,e4),e2)=op(e4,op(e4,e2)),inference(unfold_definition, [status(thm)], [c_0_2324, def_lhs_atom46])).+% 0.08/0.37 cnf(c_0_2325_0,axiom,op(op(e4,e4),e3)=op(e4,op(e4,e3)),inference(unfold_definition, [status(thm)], [c_0_2325, def_lhs_atom45])).+% 0.08/0.37 cnf(c_0_2326_0,axiom,op(op(e4,e4),e4)=op(e4,op(e4,e4)),inference(unfold_definition, [status(thm)], [c_0_2326, def_lhs_atom44])).+% 0.08/0.37 cnf(c_0_2327_0,axiom,op(op(e4,e4),e5)=op(e4,op(e4,e5)),inference(unfold_definition, [status(thm)], [c_0_2327, def_lhs_atom43])).+% 0.08/0.37 cnf(c_0_2328_0,axiom,op(op(e4,e5),e0)=op(e4,op(e5,e0)),inference(unfold_definition, [status(thm)], [c_0_2328, def_lhs_atom42])).+% 0.08/0.37 cnf(c_0_2329_0,axiom,op(op(e4,e5),e1)=op(e4,op(e5,e1)),inference(unfold_definition, [status(thm)], [c_0_2329, def_lhs_atom41])).+% 0.08/0.37 cnf(c_0_2330_0,axiom,op(op(e4,e5),e2)=op(e4,op(e5,e2)),inference(unfold_definition, [status(thm)], [c_0_2330, def_lhs_atom40])).+% 0.08/0.37 cnf(c_0_2331_0,axiom,op(op(e4,e5),e3)=op(e4,op(e5,e3)),inference(unfold_definition, [status(thm)], [c_0_2331, def_lhs_atom39])).+% 0.08/0.37 cnf(c_0_2332_0,axiom,op(op(e4,e5),e4)=op(e4,op(e5,e4)),inference(unfold_definition, [status(thm)], [c_0_2332, def_lhs_atom38])).+% 0.08/0.37 cnf(c_0_2333_0,axiom,op(op(e4,e5),e5)=op(e4,op(e5,e5)),inference(unfold_definition, [status(thm)], [c_0_2333, def_lhs_atom37])).+% 0.08/0.37 cnf(c_0_2334_0,axiom,op(op(e5,e0),e0)=op(e5,op(e0,e0)),inference(unfold_definition, [status(thm)], [c_0_2334, def_lhs_atom36])).+% 0.08/0.37 cnf(c_0_2335_0,axiom,op(op(e5,e0),e1)=op(e5,op(e0,e1)),inference(unfold_definition, [status(thm)], [c_0_2335, def_lhs_atom35])).+% 0.08/0.37 cnf(c_0_2336_0,axiom,op(op(e5,e0),e2)=op(e5,op(e0,e2)),inference(unfold_definition, [status(thm)], [c_0_2336, def_lhs_atom34])).+% 0.08/0.37 cnf(c_0_2337_0,axiom,op(op(e5,e0),e3)=op(e5,op(e0,e3)),inference(unfold_definition, [status(thm)], [c_0_2337, def_lhs_atom33])).+% 0.08/0.37 cnf(c_0_2338_0,axiom,op(op(e5,e0),e4)=op(e5,op(e0,e4)),inference(unfold_definition, [status(thm)], [c_0_2338, def_lhs_atom32])).+% 0.08/0.37 cnf(c_0_2339_0,axiom,op(op(e5,e0),e5)=op(e5,op(e0,e5)),inference(unfold_definition, [status(thm)], [c_0_2339, def_lhs_atom31])).+% 0.08/0.37 cnf(c_0_2340_0,axiom,op(op(e5,e1),e0)=op(e5,op(e1,e0)),inference(unfold_definition, [status(thm)], [c_0_2340, def_lhs_atom30])).+% 0.08/0.37 cnf(c_0_2341_0,axiom,op(op(e5,e1),e1)=op(e5,op(e1,e1)),inference(unfold_definition, [status(thm)], [c_0_2341, def_lhs_atom29])).+% 0.08/0.37 cnf(c_0_2342_0,axiom,op(op(e5,e1),e2)=op(e5,op(e1,e2)),inference(unfold_definition, [status(thm)], [c_0_2342, def_lhs_atom28])).+% 0.08/0.37 cnf(c_0_2343_0,axiom,op(op(e5,e1),e3)=op(e5,op(e1,e3)),inference(unfold_definition, [status(thm)], [c_0_2343, def_lhs_atom27])).+% 0.08/0.37 cnf(c_0_2344_0,axiom,op(op(e5,e1),e4)=op(e5,op(e1,e4)),inference(unfold_definition, [status(thm)], [c_0_2344, def_lhs_atom26])).+% 0.08/0.37 cnf(c_0_2345_0,axiom,op(op(e5,e1),e5)=op(e5,op(e1,e5)),inference(unfold_definition, [status(thm)], [c_0_2345, def_lhs_atom25])).+% 0.08/0.37 cnf(c_0_2346_0,axiom,op(op(e5,e2),e0)=op(e5,op(e2,e0)),inference(unfold_definition, [status(thm)], [c_0_2346, def_lhs_atom24])).+% 0.08/0.37 cnf(c_0_2347_0,axiom,op(op(e5,e2),e1)=op(e5,op(e2,e1)),inference(unfold_definition, [status(thm)], [c_0_2347, def_lhs_atom23])).+% 0.08/0.37 cnf(c_0_2348_0,axiom,op(op(e5,e2),e2)=op(e5,op(e2,e2)),inference(unfold_definition, [status(thm)], [c_0_2348, def_lhs_atom22])).+% 0.08/0.37 cnf(c_0_2349_0,axiom,op(op(e5,e2),e3)=op(e5,op(e2,e3)),inference(unfold_definition, [status(thm)], [c_0_2349, def_lhs_atom21])).+% 0.08/0.37 cnf(c_0_2350_0,axiom,op(op(e5,e2),e4)=op(e5,op(e2,e4)),inference(unfold_definition, [status(thm)], [c_0_2350, def_lhs_atom20])).+% 0.08/0.37 cnf(c_0_2351_0,axiom,op(op(e5,e2),e5)=op(e5,op(e2,e5)),inference(unfold_definition, [status(thm)], [c_0_2351, def_lhs_atom19])).+% 0.08/0.37 cnf(c_0_2352_0,axiom,op(op(e5,e3),e0)=op(e5,op(e3,e0)),inference(unfold_definition, [status(thm)], [c_0_2352, def_lhs_atom18])).+% 0.08/0.37 cnf(c_0_2353_0,axiom,op(op(e5,e3),e1)=op(e5,op(e3,e1)),inference(unfold_definition, [status(thm)], [c_0_2353, def_lhs_atom17])).+% 0.08/0.37 cnf(c_0_2354_0,axiom,op(op(e5,e3),e2)=op(e5,op(e3,e2)),inference(unfold_definition, [status(thm)], [c_0_2354, def_lhs_atom16])).+% 0.08/0.37 cnf(c_0_2355_0,axiom,op(op(e5,e3),e3)=op(e5,op(e3,e3)),inference(unfold_definition, [status(thm)], [c_0_2355, def_lhs_atom15])).+% 0.08/0.37 cnf(c_0_2356_0,axiom,op(op(e5,e3),e4)=op(e5,op(e3,e4)),inference(unfold_definition, [status(thm)], [c_0_2356, def_lhs_atom14])).+% 0.08/0.37 cnf(c_0_2357_0,axiom,op(op(e5,e3),e5)=op(e5,op(e3,e5)),inference(unfold_definition, [status(thm)], [c_0_2357, def_lhs_atom13])).+% 0.08/0.37 cnf(c_0_2358_0,axiom,op(op(e5,e4),e0)=op(e5,op(e4,e0)),inference(unfold_definition, [status(thm)], [c_0_2358, def_lhs_atom12])).+% 0.08/0.37 cnf(c_0_2359_0,axiom,op(op(e5,e4),e1)=op(e5,op(e4,e1)),inference(unfold_definition, [status(thm)], [c_0_2359, def_lhs_atom11])).+% 0.08/0.37 cnf(c_0_2360_0,axiom,op(op(e5,e4),e2)=op(e5,op(e4,e2)),inference(unfold_definition, [status(thm)], [c_0_2360, def_lhs_atom10])).+% 0.08/0.37 cnf(c_0_2361_0,axiom,op(op(e5,e4),e3)=op(e5,op(e4,e3)),inference(unfold_definition, [status(thm)], [c_0_2361, def_lhs_atom9])).+% 0.08/0.37 cnf(c_0_2362_0,axiom,op(op(e5,e4),e4)=op(e5,op(e4,e4)),inference(unfold_definition, [status(thm)], [c_0_2362, def_lhs_atom8])).+% 0.08/0.37 cnf(c_0_2363_0,axiom,op(op(e5,e4),e5)=op(e5,op(e4,e5)),inference(unfold_definition, [status(thm)], [c_0_2363, def_lhs_atom7])).+% 0.08/0.37 cnf(c_0_2364_0,axiom,op(op(e5,e5),e0)=op(e5,op(e5,e0)),inference(unfold_definition, [status(thm)], [c_0_2364, def_lhs_atom6])).+% 0.08/0.37 cnf(c_0_2365_0,axiom,op(op(e5,e5),e1)=op(e5,op(e5,e1)),inference(unfold_definition, [status(thm)], [c_0_2365, def_lhs_atom5])).+% 0.08/0.37 cnf(c_0_2366_0,axiom,op(op(e5,e5),e2)=op(e5,op(e5,e2)),inference(unfold_definition, [status(thm)], [c_0_2366, def_lhs_atom4])).+% 0.08/0.37 cnf(c_0_2367_0,axiom,op(op(e5,e5),e3)=op(e5,op(e5,e3)),inference(unfold_definition, [status(thm)], [c_0_2367, def_lhs_atom3])).+% 0.08/0.37 cnf(c_0_2368_0,axiom,op(op(e5,e5),e4)=op(e5,op(e5,e4)),inference(unfold_definition, [status(thm)], [c_0_2368, def_lhs_atom2])).+% 0.08/0.37 cnf(c_0_2369_0,axiom,op(op(e5,e5),e5)=op(e5,op(e5,e5)),inference(unfold_definition, [status(thm)], [c_0_2369, def_lhs_atom1])).+% 0.08/0.37 % Orienting (remaining) axiom formulas using strategy ClausalAll+% 0.08/0.37 % CNF of (remaining) axioms:+% 0.08/0.37 % Start CNF derivation+% 0.08/0.37 fof(c_0_0, axiom, (((op(e0,e0)=e0|(op(e0,e0)=e1|(op(e0,e0)=e2|(op(e0,e0)=e3|(op(e0,e0)=e4|op(e0,e0)=e5)))))&((op(e0,e1)=e0|(op(e0,e1)=e1|(op(e0,e1)=e2|(op(e0,e1)=e3|(op(e0,e1)=e4|op(e0,e1)=e5)))))&((op(e0,e2)=e0|(op(e0,e2)=e1|(op(e0,e2)=e2|(op(e0,e2)=e3|(op(e0,e2)=e4|op(e0,e2)=e5)))))&((op(e0,e3)=e0|(op(e0,e3)=e1|(op(e0,e3)=e2|(op(e0,e3)=e3|(op(e0,e3)=e4|op(e0,e3)=e5)))))&((op(e0,e4)=e0|(op(e0,e4)=e1|(op(e0,e4)=e2|(op(e0,e4)=e3|(op(e0,e4)=e4|op(e0,e4)=e5)))))&((op(e0,e5)=e0|(op(e0,e5)=e1|(op(e0,e5)=e2|(op(e0,e5)=e3|(op(e0,e5)=e4|op(e0,e5)=e5)))))&((op(e1,e0)=e0|(op(e1,e0)=e1|(op(e1,e0)=e2|(op(e1,e0)=e3|(op(e1,e0)=e4|op(e1,e0)=e5)))))&((op(e1,e1)=e0|(op(e1,e1)=e1|(op(e1,e1)=e2|(op(e1,e1)=e3|(op(e1,e1)=e4|op(e1,e1)=e5)))))&((op(e1,e2)=e0|(op(e1,e2)=e1|(op(e1,e2)=e2|(op(e1,e2)=e3|(op(e1,e2)=e4|op(e1,e2)=e5)))))&((op(e1,e3)=e0|(op(e1,e3)=e1|(op(e1,e3)=e2|(op(e1,e3)=e3|(op(e1,e3)=e4|op(e1,e3)=e5)))))&((op(e1,e4)=e0|(op(e1,e4)=e1|(op(e1,e4)=e2|(op(e1,e4)=e3|(op(e1,e4)=e4|op(e1,e4)=e5)))))&((op(e1,e5)=e0|(op(e1,e5)=e1|(op(e1,e5)=e2|(op(e1,e5)=e3|(op(e1,e5)=e4|op(e1,e5)=e5)))))&((op(e2,e0)=e0|(op(e2,e0)=e1|(op(e2,e0)=e2|(op(e2,e0)=e3|(op(e2,e0)=e4|op(e2,e0)=e5)))))&((op(e2,e1)=e0|(op(e2,e1)=e1|(op(e2,e1)=e2|(op(e2,e1)=e3|(op(e2,e1)=e4|op(e2,e1)=e5)))))&((op(e2,e2)=e0|(op(e2,e2)=e1|(op(e2,e2)=e2|(op(e2,e2)=e3|(op(e2,e2)=e4|op(e2,e2)=e5)))))&((op(e2,e3)=e0|(op(e2,e3)=e1|(op(e2,e3)=e2|(op(e2,e3)=e3|(op(e2,e3)=e4|op(e2,e3)=e5)))))&((op(e2,e4)=e0|(op(e2,e4)=e1|(op(e2,e4)=e2|(op(e2,e4)=e3|(op(e2,e4)=e4|op(e2,e4)=e5)))))&((op(e2,e5)=e0|(op(e2,e5)=e1|(op(e2,e5)=e2|(op(e2,e5)=e3|(op(e2,e5)=e4|op(e2,e5)=e5)))))&((op(e3,e0)=e0|(op(e3,e0)=e1|(op(e3,e0)=e2|(op(e3,e0)=e3|(op(e3,e0)=e4|op(e3,e0)=e5)))))&((op(e3,e1)=e0|(op(e3,e1)=e1|(op(e3,e1)=e2|(op(e3,e1)=e3|(op(e3,e1)=e4|op(e3,e1)=e5)))))&((op(e3,e2)=e0|(op(e3,e2)=e1|(op(e3,e2)=e2|(op(e3,e2)=e3|(op(e3,e2)=e4|op(e3,e2)=e5)))))&((op(e3,e3)=e0|(op(e3,e3)=e1|(op(e3,e3)=e2|(op(e3,e3)=e3|(op(e3,e3)=e4|op(e3,e3)=e5)))))&((op(e3,e4)=e0|(op(e3,e4)=e1|(op(e3,e4)=e2|(op(e3,e4)=e3|(op(e3,e4)=e4|op(e3,e4)=e5)))))&((op(e3,e5)=e0|(op(e3,e5)=e1|(op(e3,e5)=e2|(op(e3,e5)=e3|(op(e3,e5)=e4|op(e3,e5)=e5)))))&((op(e4,e0)=e0|(op(e4,e0)=e1|(op(e4,e0)=e2|(op(e4,e0)=e3|(op(e4,e0)=e4|op(e4,e0)=e5)))))&((op(e4,e1)=e0|(op(e4,e1)=e1|(op(e4,e1)=e2|(op(e4,e1)=e3|(op(e4,e1)=e4|op(e4,e1)=e5)))))&((op(e4,e2)=e0|(op(e4,e2)=e1|(op(e4,e2)=e2|(op(e4,e2)=e3|(op(e4,e2)=e4|op(e4,e2)=e5)))))&((op(e4,e3)=e0|(op(e4,e3)=e1|(op(e4,e3)=e2|(op(e4,e3)=e3|(op(e4,e3)=e4|op(e4,e3)=e5)))))&((op(e4,e4)=e0|(op(e4,e4)=e1|(op(e4,e4)=e2|(op(e4,e4)=e3|(op(e4,e4)=e4|op(e4,e4)=e5)))))&((op(e4,e5)=e0|(op(e4,e5)=e1|(op(e4,e5)=e2|(op(e4,e5)=e3|(op(e4,e5)=e4|op(e4,e5)=e5)))))&((op(e5,e0)=e0|(op(e5,e0)=e1|(op(e5,e0)=e2|(op(e5,e0)=e3|(op(e5,e0)=e4|op(e5,e0)=e5)))))&((op(e5,e1)=e0|(op(e5,e1)=e1|(op(e5,e1)=e2|(op(e5,e1)=e3|(op(e5,e1)=e4|op(e5,e1)=e5)))))&((op(e5,e2)=e0|(op(e5,e2)=e1|(op(e5,e2)=e2|(op(e5,e2)=e3|(op(e5,e2)=e4|op(e5,e2)=e5)))))&((op(e5,e3)=e0|(op(e5,e3)=e1|(op(e5,e3)=e2|(op(e5,e3)=e3|(op(e5,e3)=e4|op(e5,e3)=e5)))))&((op(e5,e4)=e0|(op(e5,e4)=e1|(op(e5,e4)=e2|(op(e5,e4)=e3|(op(e5,e4)=e4|op(e5,e4)=e5)))))&(op(e5,e5)=e0|(op(e5,e5)=e1|(op(e5,e5)=e2|(op(e5,e5)=e3|(op(e5,e5)=e4|op(e5,e5)=e5))))))))))))))))))))))))))))))))))))))))), file('<stdin>', ax1)).+% 0.08/0.37 fof(c_0_1, axiom, ((op(e0,inv(e0))=unit&(op(inv(e0),e0)=unit&(op(e1,inv(e1))=unit&(op(inv(e1),e1)=unit&(op(e2,inv(e2))=unit&(op(inv(e2),e2)=unit&(op(e3,inv(e3))=unit&(op(inv(e3),e3)=unit&(op(e4,inv(e4))=unit&(op(inv(e4),e4)=unit&(op(e5,inv(e5))=unit&(op(inv(e5),e5)=unit&((inv(e0)=e0|(inv(e0)=e1|(inv(e0)=e2|(inv(e0)=e3|(inv(e0)=e4|inv(e0)=e5)))))&((inv(e1)=e0|(inv(e1)=e1|(inv(e1)=e2|(inv(e1)=e3|(inv(e1)=e4|inv(e1)=e5)))))&((inv(e2)=e0|(inv(e2)=e1|(inv(e2)=e2|(inv(e2)=e3|(inv(e2)=e4|inv(e2)=e5)))))&((inv(e3)=e0|(inv(e3)=e1|(inv(e3)=e2|(inv(e3)=e3|(inv(e3)=e4|inv(e3)=e5)))))&((inv(e4)=e0|(inv(e4)=e1|(inv(e4)=e2|(inv(e4)=e3|(inv(e4)=e4|inv(e4)=e5)))))&(inv(e5)=e0|(inv(e5)=e1|(inv(e5)=e2|(inv(e5)=e3|(inv(e5)=e4|inv(e5)=e5))))))))))))))))))))))), file('<stdin>', ax4)).+% 0.08/0.37 fof(c_0_2, axiom, ((op(unit,e0)=e0&(op(e0,unit)=e0&(op(unit,e1)=e1&(op(e1,unit)=e1&(op(unit,e2)=e2&(op(e2,unit)=e2&(op(unit,e3)=e3&(op(e3,unit)=e3&(op(unit,e4)=e4&(op(e4,unit)=e4&(op(unit,e5)=e5&(op(e5,unit)=e5&(unit=e0|(unit=e1|(unit=e2|(unit=e3|(unit=e4|unit=e5)))))))))))))))))), file('<stdin>', ax3)).+% 0.08/0.37 fof(c_0_3, axiom, (((op(e0,e0)=e0|(op(e0,e0)=e1|(op(e0,e0)=e2|(op(e0,e0)=e3|(op(e0,e0)=e4|op(e0,e0)=e5)))))&((op(e0,e1)=e0|(op(e0,e1)=e1|(op(e0,e1)=e2|(op(e0,e1)=e3|(op(e0,e1)=e4|op(e0,e1)=e5)))))&((op(e0,e2)=e0|(op(e0,e2)=e1|(op(e0,e2)=e2|(op(e0,e2)=e3|(op(e0,e2)=e4|op(e0,e2)=e5)))))&((op(e0,e3)=e0|(op(e0,e3)=e1|(op(e0,e3)=e2|(op(e0,e3)=e3|(op(e0,e3)=e4|op(e0,e3)=e5)))))&((op(e0,e4)=e0|(op(e0,e4)=e1|(op(e0,e4)=e2|(op(e0,e4)=e3|(op(e0,e4)=e4|op(e0,e4)=e5)))))&((op(e0,e5)=e0|(op(e0,e5)=e1|(op(e0,e5)=e2|(op(e0,e5)=e3|(op(e0,e5)=e4|op(e0,e5)=e5)))))&((op(e1,e0)=e0|(op(e1,e0)=e1|(op(e1,e0)=e2|(op(e1,e0)=e3|(op(e1,e0)=e4|op(e1,e0)=e5)))))&((op(e1,e1)=e0|(op(e1,e1)=e1|(op(e1,e1)=e2|(op(e1,e1)=e3|(op(e1,e1)=e4|op(e1,e1)=e5)))))&((op(e1,e2)=e0|(op(e1,e2)=e1|(op(e1,e2)=e2|(op(e1,e2)=e3|(op(e1,e2)=e4|op(e1,e2)=e5)))))&((op(e1,e3)=e0|(op(e1,e3)=e1|(op(e1,e3)=e2|(op(e1,e3)=e3|(op(e1,e3)=e4|op(e1,e3)=e5)))))&((op(e1,e4)=e0|(op(e1,e4)=e1|(op(e1,e4)=e2|(op(e1,e4)=e3|(op(e1,e4)=e4|op(e1,e4)=e5)))))&((op(e1,e5)=e0|(op(e1,e5)=e1|(op(e1,e5)=e2|(op(e1,e5)=e3|(op(e1,e5)=e4|op(e1,e5)=e5)))))&((op(e2,e0)=e0|(op(e2,e0)=e1|(op(e2,e0)=e2|(op(e2,e0)=e3|(op(e2,e0)=e4|op(e2,e0)=e5)))))&((op(e2,e1)=e0|(op(e2,e1)=e1|(op(e2,e1)=e2|(op(e2,e1)=e3|(op(e2,e1)=e4|op(e2,e1)=e5)))))&((op(e2,e2)=e0|(op(e2,e2)=e1|(op(e2,e2)=e2|(op(e2,e2)=e3|(op(e2,e2)=e4|op(e2,e2)=e5)))))&((op(e2,e3)=e0|(op(e2,e3)=e1|(op(e2,e3)=e2|(op(e2,e3)=e3|(op(e2,e3)=e4|op(e2,e3)=e5)))))&((op(e2,e4)=e0|(op(e2,e4)=e1|(op(e2,e4)=e2|(op(e2,e4)=e3|(op(e2,e4)=e4|op(e2,e4)=e5)))))&((op(e2,e5)=e0|(op(e2,e5)=e1|(op(e2,e5)=e2|(op(e2,e5)=e3|(op(e2,e5)=e4|op(e2,e5)=e5)))))&((op(e3,e0)=e0|(op(e3,e0)=e1|(op(e3,e0)=e2|(op(e3,e0)=e3|(op(e3,e0)=e4|op(e3,e0)=e5)))))&((op(e3,e1)=e0|(op(e3,e1)=e1|(op(e3,e1)=e2|(op(e3,e1)=e3|(op(e3,e1)=e4|op(e3,e1)=e5)))))&((op(e3,e2)=e0|(op(e3,e2)=e1|(op(e3,e2)=e2|(op(e3,e2)=e3|(op(e3,e2)=e4|op(e3,e2)=e5)))))&((op(e3,e3)=e0|(op(e3,e3)=e1|(op(e3,e3)=e2|(op(e3,e3)=e3|(op(e3,e3)=e4|op(e3,e3)=e5)))))&((op(e3,e4)=e0|(op(e3,e4)=e1|(op(e3,e4)=e2|(op(e3,e4)=e3|(op(e3,e4)=e4|op(e3,e4)=e5)))))&((op(e3,e5)=e0|(op(e3,e5)=e1|(op(e3,e5)=e2|(op(e3,e5)=e3|(op(e3,e5)=e4|op(e3,e5)=e5)))))&((op(e4,e0)=e0|(op(e4,e0)=e1|(op(e4,e0)=e2|(op(e4,e0)=e3|(op(e4,e0)=e4|op(e4,e0)=e5)))))&((op(e4,e1)=e0|(op(e4,e1)=e1|(op(e4,e1)=e2|(op(e4,e1)=e3|(op(e4,e1)=e4|op(e4,e1)=e5)))))&((op(e4,e2)=e0|(op(e4,e2)=e1|(op(e4,e2)=e2|(op(e4,e2)=e3|(op(e4,e2)=e4|op(e4,e2)=e5)))))&((op(e4,e3)=e0|(op(e4,e3)=e1|(op(e4,e3)=e2|(op(e4,e3)=e3|(op(e4,e3)=e4|op(e4,e3)=e5)))))&((op(e4,e4)=e0|(op(e4,e4)=e1|(op(e4,e4)=e2|(op(e4,e4)=e3|(op(e4,e4)=e4|op(e4,e4)=e5)))))&((op(e4,e5)=e0|(op(e4,e5)=e1|(op(e4,e5)=e2|(op(e4,e5)=e3|(op(e4,e5)=e4|op(e4,e5)=e5)))))&((op(e5,e0)=e0|(op(e5,e0)=e1|(op(e5,e0)=e2|(op(e5,e0)=e3|(op(e5,e0)=e4|op(e5,e0)=e5)))))&((op(e5,e1)=e0|(op(e5,e1)=e1|(op(e5,e1)=e2|(op(e5,e1)=e3|(op(e5,e1)=e4|op(e5,e1)=e5)))))&((op(e5,e2)=e0|(op(e5,e2)=e1|(op(e5,e2)=e2|(op(e5,e2)=e3|(op(e5,e2)=e4|op(e5,e2)=e5)))))&((op(e5,e3)=e0|(op(e5,e3)=e1|(op(e5,e3)=e2|(op(e5,e3)=e3|(op(e5,e3)=e4|op(e5,e3)=e5)))))&((op(e5,e4)=e0|(op(e5,e4)=e1|(op(e5,e4)=e2|(op(e5,e4)=e3|(op(e5,e4)=e4|op(e5,e4)=e5)))))&(op(e5,e5)=e0|(op(e5,e5)=e1|(op(e5,e5)=e2|(op(e5,e5)=e3|(op(e5,e5)=e4|op(e5,e5)=e5))))))))))))))))))))))))))))))))))))))))), c_0_0).+% 0.08/0.37 fof(c_0_4, axiom, ((op(e0,inv(e0))=unit&(op(inv(e0),e0)=unit&(op(e1,inv(e1))=unit&(op(inv(e1),e1)=unit&(op(e2,inv(e2))=unit&(op(inv(e2),e2)=unit&(op(e3,inv(e3))=unit&(op(inv(e3),e3)=unit&(op(e4,inv(e4))=unit&(op(inv(e4),e4)=unit&(op(e5,inv(e5))=unit&(op(inv(e5),e5)=unit&((inv(e0)=e0|(inv(e0)=e1|(inv(e0)=e2|(inv(e0)=e3|(inv(e0)=e4|inv(e0)=e5)))))&((inv(e1)=e0|(inv(e1)=e1|(inv(e1)=e2|(inv(e1)=e3|(inv(e1)=e4|inv(e1)=e5)))))&((inv(e2)=e0|(inv(e2)=e1|(inv(e2)=e2|(inv(e2)=e3|(inv(e2)=e4|inv(e2)=e5)))))&((inv(e3)=e0|(inv(e3)=e1|(inv(e3)=e2|(inv(e3)=e3|(inv(e3)=e4|inv(e3)=e5)))))&((inv(e4)=e0|(inv(e4)=e1|(inv(e4)=e2|(inv(e4)=e3|(inv(e4)=e4|inv(e4)=e5)))))&(inv(e5)=e0|(inv(e5)=e1|(inv(e5)=e2|(inv(e5)=e3|(inv(e5)=e4|inv(e5)=e5))))))))))))))))))))))), c_0_1).+% 0.08/0.37 fof(c_0_5, axiom, ((op(unit,e0)=e0&(op(e0,unit)=e0&(op(unit,e1)=e1&(op(e1,unit)=e1&(op(unit,e2)=e2&(op(e2,unit)=e2&(op(unit,e3)=e3&(op(e3,unit)=e3&(op(unit,e4)=e4&(op(e4,unit)=e4&(op(unit,e5)=e5&(op(e5,unit)=e5&(unit=e0|(unit=e1|(unit=e2|(unit=e3|(unit=e4|unit=e5)))))))))))))))))), c_0_2).+% 0.08/0.37 fof(c_0_6, axiom, (((op(e0,e0)=e0|(op(e0,e0)=e1|(op(e0,e0)=e2|(op(e0,e0)=e3|(op(e0,e0)=e4|op(e0,e0)=e5)))))&((op(e0,e1)=e0|(op(e0,e1)=e1|(op(e0,e1)=e2|(op(e0,e1)=e3|(op(e0,e1)=e4|op(e0,e1)=e5)))))&((op(e0,e2)=e0|(op(e0,e2)=e1|(op(e0,e2)=e2|(op(e0,e2)=e3|(op(e0,e2)=e4|op(e0,e2)=e5)))))&((op(e0,e3)=e0|(op(e0,e3)=e1|(op(e0,e3)=e2|(op(e0,e3)=e3|(op(e0,e3)=e4|op(e0,e3)=e5)))))&((op(e0,e4)=e0|(op(e0,e4)=e1|(op(e0,e4)=e2|(op(e0,e4)=e3|(op(e0,e4)=e4|op(e0,e4)=e5)))))&((op(e0,e5)=e0|(op(e0,e5)=e1|(op(e0,e5)=e2|(op(e0,e5)=e3|(op(e0,e5)=e4|op(e0,e5)=e5)))))&((op(e1,e0)=e0|(op(e1,e0)=e1|(op(e1,e0)=e2|(op(e1,e0)=e3|(op(e1,e0)=e4|op(e1,e0)=e5)))))&((op(e1,e1)=e0|(op(e1,e1)=e1|(op(e1,e1)=e2|(op(e1,e1)=e3|(op(e1,e1)=e4|op(e1,e1)=e5)))))&((op(e1,e2)=e0|(op(e1,e2)=e1|(op(e1,e2)=e2|(op(e1,e2)=e3|(op(e1,e2)=e4|op(e1,e2)=e5)))))&((op(e1,e3)=e0|(op(e1,e3)=e1|(op(e1,e3)=e2|(op(e1,e3)=e3|(op(e1,e3)=e4|op(e1,e3)=e5)))))&((op(e1,e4)=e0|(op(e1,e4)=e1|(op(e1,e4)=e2|(op(e1,e4)=e3|(op(e1,e4)=e4|op(e1,e4)=e5)))))&((op(e1,e5)=e0|(op(e1,e5)=e1|(op(e1,e5)=e2|(op(e1,e5)=e3|(op(e1,e5)=e4|op(e1,e5)=e5)))))&((op(e2,e0)=e0|(op(e2,e0)=e1|(op(e2,e0)=e2|(op(e2,e0)=e3|(op(e2,e0)=e4|op(e2,e0)=e5)))))&((op(e2,e1)=e0|(op(e2,e1)=e1|(op(e2,e1)=e2|(op(e2,e1)=e3|(op(e2,e1)=e4|op(e2,e1)=e5)))))&((op(e2,e2)=e0|(op(e2,e2)=e1|(op(e2,e2)=e2|(op(e2,e2)=e3|(op(e2,e2)=e4|op(e2,e2)=e5)))))&((op(e2,e3)=e0|(op(e2,e3)=e1|(op(e2,e3)=e2|(op(e2,e3)=e3|(op(e2,e3)=e4|op(e2,e3)=e5)))))&((op(e2,e4)=e0|(op(e2,e4)=e1|(op(e2,e4)=e2|(op(e2,e4)=e3|(op(e2,e4)=e4|op(e2,e4)=e5)))))&((op(e2,e5)=e0|(op(e2,e5)=e1|(op(e2,e5)=e2|(op(e2,e5)=e3|(op(e2,e5)=e4|op(e2,e5)=e5)))))&((op(e3,e0)=e0|(op(e3,e0)=e1|(op(e3,e0)=e2|(op(e3,e0)=e3|(op(e3,e0)=e4|op(e3,e0)=e5)))))&((op(e3,e1)=e0|(op(e3,e1)=e1|(op(e3,e1)=e2|(op(e3,e1)=e3|(op(e3,e1)=e4|op(e3,e1)=e5)))))&((op(e3,e2)=e0|(op(e3,e2)=e1|(op(e3,e2)=e2|(op(e3,e2)=e3|(op(e3,e2)=e4|op(e3,e2)=e5)))))&((op(e3,e3)=e0|(op(e3,e3)=e1|(op(e3,e3)=e2|(op(e3,e3)=e3|(op(e3,e3)=e4|op(e3,e3)=e5)))))&((op(e3,e4)=e0|(op(e3,e4)=e1|(op(e3,e4)=e2|(op(e3,e4)=e3|(op(e3,e4)=e4|op(e3,e4)=e5)))))&((op(e3,e5)=e0|(op(e3,e5)=e1|(op(e3,e5)=e2|(op(e3,e5)=e3|(op(e3,e5)=e4|op(e3,e5)=e5)))))&((op(e4,e0)=e0|(op(e4,e0)=e1|(op(e4,e0)=e2|(op(e4,e0)=e3|(op(e4,e0)=e4|op(e4,e0)=e5)))))&((op(e4,e1)=e0|(op(e4,e1)=e1|(op(e4,e1)=e2|(op(e4,e1)=e3|(op(e4,e1)=e4|op(e4,e1)=e5)))))&((op(e4,e2)=e0|(op(e4,e2)=e1|(op(e4,e2)=e2|(op(e4,e2)=e3|(op(e4,e2)=e4|op(e4,e2)=e5)))))&((op(e4,e3)=e0|(op(e4,e3)=e1|(op(e4,e3)=e2|(op(e4,e3)=e3|(op(e4,e3)=e4|op(e4,e3)=e5)))))&((op(e4,e4)=e0|(op(e4,e4)=e1|(op(e4,e4)=e2|(op(e4,e4)=e3|(op(e4,e4)=e4|op(e4,e4)=e5)))))&((op(e4,e5)=e0|(op(e4,e5)=e1|(op(e4,e5)=e2|(op(e4,e5)=e3|(op(e4,e5)=e4|op(e4,e5)=e5)))))&((op(e5,e0)=e0|(op(e5,e0)=e1|(op(e5,e0)=e2|(op(e5,e0)=e3|(op(e5,e0)=e4|op(e5,e0)=e5)))))&((op(e5,e1)=e0|(op(e5,e1)=e1|(op(e5,e1)=e2|(op(e5,e1)=e3|(op(e5,e1)=e4|op(e5,e1)=e5)))))&((op(e5,e2)=e0|(op(e5,e2)=e1|(op(e5,e2)=e2|(op(e5,e2)=e3|(op(e5,e2)=e4|op(e5,e2)=e5)))))&((op(e5,e3)=e0|(op(e5,e3)=e1|(op(e5,e3)=e2|(op(e5,e3)=e3|(op(e5,e3)=e4|op(e5,e3)=e5)))))&((op(e5,e4)=e0|(op(e5,e4)=e1|(op(e5,e4)=e2|(op(e5,e4)=e3|(op(e5,e4)=e4|op(e5,e4)=e5)))))&(op(e5,e5)=e0|(op(e5,e5)=e1|(op(e5,e5)=e2|(op(e5,e5)=e3|(op(e5,e5)=e4|op(e5,e5)=e5))))))))))))))))))))))))))))))))))))))))), c_0_3).+% 0.08/0.37 fof(c_0_7, axiom, ((op(e0,inv(e0))=unit&(op(inv(e0),e0)=unit&(op(e1,inv(e1))=unit&(op(inv(e1),e1)=unit&(op(e2,inv(e2))=unit&(op(inv(e2),e2)=unit&(op(e3,inv(e3))=unit&(op(inv(e3),e3)=unit&(op(e4,inv(e4))=unit&(op(inv(e4),e4)=unit&(op(e5,inv(e5))=unit&(op(inv(e5),e5)=unit&((inv(e0)=e0|(inv(e0)=e1|(inv(e0)=e2|(inv(e0)=e3|(inv(e0)=e4|inv(e0)=e5)))))&((inv(e1)=e0|(inv(e1)=e1|(inv(e1)=e2|(inv(e1)=e3|(inv(e1)=e4|inv(e1)=e5)))))&((inv(e2)=e0|(inv(e2)=e1|(inv(e2)=e2|(inv(e2)=e3|(inv(e2)=e4|inv(e2)=e5)))))&((inv(e3)=e0|(inv(e3)=e1|(inv(e3)=e2|(inv(e3)=e3|(inv(e3)=e4|inv(e3)=e5)))))&((inv(e4)=e0|(inv(e4)=e1|(inv(e4)=e2|(inv(e4)=e3|(inv(e4)=e4|inv(e4)=e5)))))&(inv(e5)=e0|(inv(e5)=e1|(inv(e5)=e2|(inv(e5)=e3|(inv(e5)=e4|inv(e5)=e5))))))))))))))))))))))), c_0_4).+% 0.08/0.37 fof(c_0_8, axiom, ((op(unit,e0)=e0&(op(e0,unit)=e0&(op(unit,e1)=e1&(op(e1,unit)=e1&(op(unit,e2)=e2&(op(e2,unit)=e2&(op(unit,e3)=e3&(op(e3,unit)=e3&(op(unit,e4)=e4&(op(e4,unit)=e4&(op(unit,e5)=e5&(op(e5,unit)=e5&(unit=e0|(unit=e1|(unit=e2|(unit=e3|(unit=e4|unit=e5)))))))))))))))))), c_0_5).+% 0.08/0.37 cnf(c_0_9,plain,(op(e0,e0)=e5|op(e0,e0)=e4|op(e0,e0)=e3|op(e0,e0)=e2|op(e0,e0)=e1|op(e0,e0)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_10,plain,(op(e0,e1)=e5|op(e0,e1)=e4|op(e0,e1)=e3|op(e0,e1)=e2|op(e0,e1)=e1|op(e0,e1)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_11,plain,(op(e0,e2)=e5|op(e0,e2)=e4|op(e0,e2)=e3|op(e0,e2)=e2|op(e0,e2)=e1|op(e0,e2)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_12,plain,(op(e0,e3)=e5|op(e0,e3)=e4|op(e0,e3)=e3|op(e0,e3)=e2|op(e0,e3)=e1|op(e0,e3)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_13,plain,(op(e0,e4)=e5|op(e0,e4)=e4|op(e0,e4)=e3|op(e0,e4)=e2|op(e0,e4)=e1|op(e0,e4)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_14,plain,(op(e0,e5)=e5|op(e0,e5)=e4|op(e0,e5)=e3|op(e0,e5)=e2|op(e0,e5)=e1|op(e0,e5)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_15,plain,(op(e1,e0)=e5|op(e1,e0)=e4|op(e1,e0)=e3|op(e1,e0)=e2|op(e1,e0)=e1|op(e1,e0)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_16,plain,(op(e1,e1)=e5|op(e1,e1)=e4|op(e1,e1)=e3|op(e1,e1)=e2|op(e1,e1)=e1|op(e1,e1)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_17,plain,(op(e1,e2)=e5|op(e1,e2)=e4|op(e1,e2)=e3|op(e1,e2)=e2|op(e1,e2)=e1|op(e1,e2)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_18,plain,(op(e1,e3)=e5|op(e1,e3)=e4|op(e1,e3)=e3|op(e1,e3)=e2|op(e1,e3)=e1|op(e1,e3)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_19,plain,(op(e1,e4)=e5|op(e1,e4)=e4|op(e1,e4)=e3|op(e1,e4)=e2|op(e1,e4)=e1|op(e1,e4)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_20,plain,(op(e1,e5)=e5|op(e1,e5)=e4|op(e1,e5)=e3|op(e1,e5)=e2|op(e1,e5)=e1|op(e1,e5)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_21,plain,(op(e2,e0)=e5|op(e2,e0)=e4|op(e2,e0)=e3|op(e2,e0)=e2|op(e2,e0)=e1|op(e2,e0)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_22,plain,(op(e2,e1)=e5|op(e2,e1)=e4|op(e2,e1)=e3|op(e2,e1)=e2|op(e2,e1)=e1|op(e2,e1)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_23,plain,(op(e2,e2)=e5|op(e2,e2)=e4|op(e2,e2)=e3|op(e2,e2)=e2|op(e2,e2)=e1|op(e2,e2)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_24,plain,(op(e2,e3)=e5|op(e2,e3)=e4|op(e2,e3)=e3|op(e2,e3)=e2|op(e2,e3)=e1|op(e2,e3)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_25,plain,(op(e2,e4)=e5|op(e2,e4)=e4|op(e2,e4)=e3|op(e2,e4)=e2|op(e2,e4)=e1|op(e2,e4)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_26,plain,(op(e2,e5)=e5|op(e2,e5)=e4|op(e2,e5)=e3|op(e2,e5)=e2|op(e2,e5)=e1|op(e2,e5)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_27,plain,(op(e3,e0)=e5|op(e3,e0)=e4|op(e3,e0)=e3|op(e3,e0)=e2|op(e3,e0)=e1|op(e3,e0)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_28,plain,(op(e3,e1)=e5|op(e3,e1)=e4|op(e3,e1)=e3|op(e3,e1)=e2|op(e3,e1)=e1|op(e3,e1)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_29,plain,(op(e3,e2)=e5|op(e3,e2)=e4|op(e3,e2)=e3|op(e3,e2)=e2|op(e3,e2)=e1|op(e3,e2)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_30,plain,(op(e3,e3)=e5|op(e3,e3)=e4|op(e3,e3)=e3|op(e3,e3)=e2|op(e3,e3)=e1|op(e3,e3)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_31,plain,(op(e3,e4)=e5|op(e3,e4)=e4|op(e3,e4)=e3|op(e3,e4)=e2|op(e3,e4)=e1|op(e3,e4)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_32,plain,(op(e3,e5)=e5|op(e3,e5)=e4|op(e3,e5)=e3|op(e3,e5)=e2|op(e3,e5)=e1|op(e3,e5)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_33,plain,(op(e4,e0)=e5|op(e4,e0)=e4|op(e4,e0)=e3|op(e4,e0)=e2|op(e4,e0)=e1|op(e4,e0)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_34,plain,(op(e4,e1)=e5|op(e4,e1)=e4|op(e4,e1)=e3|op(e4,e1)=e2|op(e4,e1)=e1|op(e4,e1)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_35,plain,(op(e4,e2)=e5|op(e4,e2)=e4|op(e4,e2)=e3|op(e4,e2)=e2|op(e4,e2)=e1|op(e4,e2)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_36,plain,(op(e4,e3)=e5|op(e4,e3)=e4|op(e4,e3)=e3|op(e4,e3)=e2|op(e4,e3)=e1|op(e4,e3)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_37,plain,(op(e4,e4)=e5|op(e4,e4)=e4|op(e4,e4)=e3|op(e4,e4)=e2|op(e4,e4)=e1|op(e4,e4)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_38,plain,(op(e4,e5)=e5|op(e4,e5)=e4|op(e4,e5)=e3|op(e4,e5)=e2|op(e4,e5)=e1|op(e4,e5)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_39,plain,(op(e5,e0)=e5|op(e5,e0)=e4|op(e5,e0)=e3|op(e5,e0)=e2|op(e5,e0)=e1|op(e5,e0)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_40,plain,(op(e5,e1)=e5|op(e5,e1)=e4|op(e5,e1)=e3|op(e5,e1)=e2|op(e5,e1)=e1|op(e5,e1)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_41,plain,(op(e5,e2)=e5|op(e5,e2)=e4|op(e5,e2)=e3|op(e5,e2)=e2|op(e5,e2)=e1|op(e5,e2)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_42,plain,(op(e5,e3)=e5|op(e5,e3)=e4|op(e5,e3)=e3|op(e5,e3)=e2|op(e5,e3)=e1|op(e5,e3)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_43,plain,(op(e5,e4)=e5|op(e5,e4)=e4|op(e5,e4)=e3|op(e5,e4)=e2|op(e5,e4)=e1|op(e5,e4)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_44,plain,(op(e5,e5)=e5|op(e5,e5)=e4|op(e5,e5)=e3|op(e5,e5)=e2|op(e5,e5)=e1|op(e5,e5)=e0), inference(split_conjunct,[status(thm)],[c_0_6])).+% 0.08/0.37 cnf(c_0_45,plain,(inv(e0)=e5|inv(e0)=e4|inv(e0)=e3|inv(e0)=e2|inv(e0)=e1|inv(e0)=e0), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_46,plain,(inv(e1)=e5|inv(e1)=e4|inv(e1)=e3|inv(e1)=e2|inv(e1)=e1|inv(e1)=e0), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_47,plain,(inv(e2)=e5|inv(e2)=e4|inv(e2)=e3|inv(e2)=e2|inv(e2)=e1|inv(e2)=e0), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_48,plain,(inv(e3)=e5|inv(e3)=e4|inv(e3)=e3|inv(e3)=e2|inv(e3)=e1|inv(e3)=e0), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_49,plain,(inv(e4)=e5|inv(e4)=e4|inv(e4)=e3|inv(e4)=e2|inv(e4)=e1|inv(e4)=e0), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_50,plain,(inv(e5)=e5|inv(e5)=e4|inv(e5)=e3|inv(e5)=e2|inv(e5)=e1|inv(e5)=e0), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_51,plain,(op(e0,inv(e0))=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_52,plain,(op(inv(e0),e0)=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_53,plain,(op(e1,inv(e1))=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_54,plain,(op(inv(e1),e1)=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_55,plain,(op(e2,inv(e2))=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_56,plain,(op(inv(e2),e2)=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_57,plain,(op(e3,inv(e3))=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_58,plain,(op(inv(e3),e3)=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_59,plain,(op(e4,inv(e4))=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_60,plain,(op(inv(e4),e4)=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_61,plain,(op(e5,inv(e5))=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_62,plain,(op(inv(e5),e5)=unit), inference(split_conjunct,[status(thm)],[c_0_7])).+% 0.08/0.37 cnf(c_0_63,plain,(op(unit,e0)=e0), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_64,plain,(op(e0,unit)=e0), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_65,plain,(op(unit,e1)=e1), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_66,plain,(op(e1,unit)=e1), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_67,plain,(op(unit,e2)=e2), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_68,plain,(op(e2,unit)=e2), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_69,plain,(op(unit,e3)=e3), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_70,plain,(op(e3,unit)=e3), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_71,plain,(op(unit,e4)=e4), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_72,plain,(op(e4,unit)=e4), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_73,plain,(op(unit,e5)=e5), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_74,plain,(op(e5,unit)=e5), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_75,plain,(unit=e5|unit=e4|unit=e3|unit=e2|unit=e1|unit=e0), inference(split_conjunct,[status(thm)],[c_0_8])).+% 0.08/0.37 cnf(c_0_76,plain,(op(e0,e0)=e5|op(e0,e0)=e4|op(e0,e0)=e3|op(e0,e0)=e2|op(e0,e0)=e1|op(e0,e0)=e0), c_0_9, ['final']).+% 0.08/0.37 cnf(c_0_77,plain,(op(e0,e1)=e5|op(e0,e1)=e4|op(e0,e1)=e3|op(e0,e1)=e2|op(e0,e1)=e1|op(e0,e1)=e0), c_0_10, ['final']).+% 0.08/0.37 cnf(c_0_78,plain,(op(e0,e2)=e5|op(e0,e2)=e4|op(e0,e2)=e3|op(e0,e2)=e2|op(e0,e2)=e1|op(e0,e2)=e0), c_0_11, ['final']).+% 0.08/0.37 cnf(c_0_79,plain,(op(e0,e3)=e5|op(e0,e3)=e4|op(e0,e3)=e3|op(e0,e3)=e2|op(e0,e3)=e1|op(e0,e3)=e0), c_0_12, ['final']).+% 0.08/0.37 cnf(c_0_80,plain,(op(e0,e4)=e5|op(e0,e4)=e4|op(e0,e4)=e3|op(e0,e4)=e2|op(e0,e4)=e1|op(e0,e4)=e0), c_0_13, ['final']).+% 0.08/0.37 cnf(c_0_81,plain,(op(e0,e5)=e5|op(e0,e5)=e4|op(e0,e5)=e3|op(e0,e5)=e2|op(e0,e5)=e1|op(e0,e5)=e0), c_0_14, ['final']).+% 0.08/0.37 cnf(c_0_82,plain,(op(e1,e0)=e5|op(e1,e0)=e4|op(e1,e0)=e3|op(e1,e0)=e2|op(e1,e0)=e1|op(e1,e0)=e0), c_0_15, ['final']).+% 0.08/0.37 cnf(c_0_83,plain,(op(e1,e1)=e5|op(e1,e1)=e4|op(e1,e1)=e3|op(e1,e1)=e2|op(e1,e1)=e1|op(e1,e1)=e0), c_0_16, ['final']).+% 0.08/0.37 cnf(c_0_84,plain,(op(e1,e2)=e5|op(e1,e2)=e4|op(e1,e2)=e3|op(e1,e2)=e2|op(e1,e2)=e1|op(e1,e2)=e0), c_0_17, ['final']).+% 0.08/0.37 cnf(c_0_85,plain,(op(e1,e3)=e5|op(e1,e3)=e4|op(e1,e3)=e3|op(e1,e3)=e2|op(e1,e3)=e1|op(e1,e3)=e0), c_0_18, ['final']).+% 0.08/0.37 cnf(c_0_86,plain,(op(e1,e4)=e5|op(e1,e4)=e4|op(e1,e4)=e3|op(e1,e4)=e2|op(e1,e4)=e1|op(e1,e4)=e0), c_0_19, ['final']).+% 0.08/0.37 cnf(c_0_87,plain,(op(e1,e5)=e5|op(e1,e5)=e4|op(e1,e5)=e3|op(e1,e5)=e2|op(e1,e5)=e1|op(e1,e5)=e0), c_0_20, ['final']).+% 0.08/0.37 cnf(c_0_88,plain,(op(e2,e0)=e5|op(e2,e0)=e4|op(e2,e0)=e3|op(e2,e0)=e2|op(e2,e0)=e1|op(e2,e0)=e0), c_0_21, ['final']).+% 0.08/0.37 cnf(c_0_89,plain,(op(e2,e1)=e5|op(e2,e1)=e4|op(e2,e1)=e3|op(e2,e1)=e2|op(e2,e1)=e1|op(e2,e1)=e0), c_0_22, ['final']).+% 0.08/0.37 cnf(c_0_90,plain,(op(e2,e2)=e5|op(e2,e2)=e4|op(e2,e2)=e3|op(e2,e2)=e2|op(e2,e2)=e1|op(e2,e2)=e0), c_0_23, ['final']).+% 0.08/0.37 cnf(c_0_91,plain,(op(e2,e3)=e5|op(e2,e3)=e4|op(e2,e3)=e3|op(e2,e3)=e2|op(e2,e3)=e1|op(e2,e3)=e0), c_0_24, ['final']).+% 0.08/0.37 cnf(c_0_92,plain,(op(e2,e4)=e5|op(e2,e4)=e4|op(e2,e4)=e3|op(e2,e4)=e2|op(e2,e4)=e1|op(e2,e4)=e0), c_0_25, ['final']).+% 0.08/0.37 cnf(c_0_93,plain,(op(e2,e5)=e5|op(e2,e5)=e4|op(e2,e5)=e3|op(e2,e5)=e2|op(e2,e5)=e1|op(e2,e5)=e0), c_0_26, ['final']).+% 0.08/0.37 cnf(c_0_94,plain,(op(e3,e0)=e5|op(e3,e0)=e4|op(e3,e0)=e3|op(e3,e0)=e2|op(e3,e0)=e1|op(e3,e0)=e0), c_0_27, ['final']).+% 0.08/0.37 cnf(c_0_95,plain,(op(e3,e1)=e5|op(e3,e1)=e4|op(e3,e1)=e3|op(e3,e1)=e2|op(e3,e1)=e1|op(e3,e1)=e0), c_0_28, ['final']).+% 0.08/0.37 cnf(c_0_96,plain,(op(e3,e2)=e5|op(e3,e2)=e4|op(e3,e2)=e3|op(e3,e2)=e2|op(e3,e2)=e1|op(e3,e2)=e0), c_0_29, ['final']).+% 0.08/0.37 cnf(c_0_97,plain,(op(e3,e3)=e5|op(e3,e3)=e4|op(e3,e3)=e3|op(e3,e3)=e2|op(e3,e3)=e1|op(e3,e3)=e0), c_0_30, ['final']).+% 0.08/0.37 cnf(c_0_98,plain,(op(e3,e4)=e5|op(e3,e4)=e4|op(e3,e4)=e3|op(e3,e4)=e2|op(e3,e4)=e1|op(e3,e4)=e0), c_0_31, ['final']).+% 0.08/0.37 cnf(c_0_99,plain,(op(e3,e5)=e5|op(e3,e5)=e4|op(e3,e5)=e3|op(e3,e5)=e2|op(e3,e5)=e1|op(e3,e5)=e0), c_0_32, ['final']).+% 0.08/0.37 cnf(c_0_100,plain,(op(e4,e0)=e5|op(e4,e0)=e4|op(e4,e0)=e3|op(e4,e0)=e2|op(e4,e0)=e1|op(e4,e0)=e0), c_0_33, ['final']).+% 0.08/0.37 cnf(c_0_101,plain,(op(e4,e1)=e5|op(e4,e1)=e4|op(e4,e1)=e3|op(e4,e1)=e2|op(e4,e1)=e1|op(e4,e1)=e0), c_0_34, ['final']).+% 0.08/0.37 cnf(c_0_102,plain,(op(e4,e2)=e5|op(e4,e2)=e4|op(e4,e2)=e3|op(e4,e2)=e2|op(e4,e2)=e1|op(e4,e2)=e0), c_0_35, ['final']).+% 0.08/0.37 cnf(c_0_103,plain,(op(e4,e3)=e5|op(e4,e3)=e4|op(e4,e3)=e3|op(e4,e3)=e2|op(e4,e3)=e1|op(e4,e3)=e0), c_0_36, ['final']).+% 0.08/0.37 cnf(c_0_104,plain,(op(e4,e4)=e5|op(e4,e4)=e4|op(e4,e4)=e3|op(e4,e4)=e2|op(e4,e4)=e1|op(e4,e4)=e0), c_0_37, ['final']).+% 0.08/0.37 cnf(c_0_105,plain,(op(e4,e5)=e5|op(e4,e5)=e4|op(e4,e5)=e3|op(e4,e5)=e2|op(e4,e5)=e1|op(e4,e5)=e0), c_0_38, ['final']).+% 0.08/0.37 cnf(c_0_106,plain,(op(e5,e0)=e5|op(e5,e0)=e4|op(e5,e0)=e3|op(e5,e0)=e2|op(e5,e0)=e1|op(e5,e0)=e0), c_0_39, ['final']).+% 0.08/0.37 cnf(c_0_107,plain,(op(e5,e1)=e5|op(e5,e1)=e4|op(e5,e1)=e3|op(e5,e1)=e2|op(e5,e1)=e1|op(e5,e1)=e0), c_0_40, ['final']).+% 0.08/0.37 cnf(c_0_108,plain,(op(e5,e2)=e5|op(e5,e2)=e4|op(e5,e2)=e3|op(e5,e2)=e2|op(e5,e2)=e1|op(e5,e2)=e0), c_0_41, ['final']).+% 0.08/0.37 cnf(c_0_109,plain,(op(e5,e3)=e5|op(e5,e3)=e4|op(e5,e3)=e3|op(e5,e3)=e2|op(e5,e3)=e1|op(e5,e3)=e0), c_0_42, ['final']).+% 0.08/0.37 cnf(c_0_110,plain,(op(e5,e4)=e5|op(e5,e4)=e4|op(e5,e4)=e3|op(e5,e4)=e2|op(e5,e4)=e1|op(e5,e4)=e0), c_0_43, ['final']).+% 0.08/0.37 cnf(c_0_111,plain,(op(e5,e5)=e5|op(e5,e5)=e4|op(e5,e5)=e3|op(e5,e5)=e2|op(e5,e5)=e1|op(e5,e5)=e0), c_0_44, ['final']).+% 0.08/0.37 cnf(c_0_112,plain,(inv(e0)=e5|inv(e0)=e4|inv(e0)=e3|inv(e0)=e2|inv(e0)=e1|inv(e0)=e0), c_0_45, ['final']).+% 0.08/0.37 cnf(c_0_113,plain,(inv(e1)=e5|inv(e1)=e4|inv(e1)=e3|inv(e1)=e2|inv(e1)=e1|inv(e1)=e0), c_0_46, ['final']).+% 0.08/0.37 cnf(c_0_114,plain,(inv(e2)=e5|inv(e2)=e4|inv(e2)=e3|inv(e2)=e2|inv(e2)=e1|inv(e2)=e0), c_0_47, ['final']).+% 0.08/0.37 cnf(c_0_115,plain,(inv(e3)=e5|inv(e3)=e4|inv(e3)=e3|inv(e3)=e2|inv(e3)=e1|inv(e3)=e0), c_0_48, ['final']).+% 0.08/0.37 cnf(c_0_116,plain,(inv(e4)=e5|inv(e4)=e4|inv(e4)=e3|inv(e4)=e2|inv(e4)=e1|inv(e4)=e0), c_0_49, ['final']).+% 0.08/0.37 cnf(c_0_117,plain,(inv(e5)=e5|inv(e5)=e4|inv(e5)=e3|inv(e5)=e2|inv(e5)=e1|inv(e5)=e0), c_0_50, ['final']).+% 0.08/0.37 cnf(c_0_118,plain,(op(e0,inv(e0))=unit), c_0_51, ['final']).+% 0.08/0.37 cnf(c_0_119,plain,(op(inv(e0),e0)=unit), c_0_52, ['final']).+% 0.08/0.37 cnf(c_0_120,plain,(op(e1,inv(e1))=unit), c_0_53, ['final']).+% 0.08/0.37 cnf(c_0_121,plain,(op(inv(e1),e1)=unit), c_0_54, ['final']).+% 0.08/0.37 cnf(c_0_122,plain,(op(e2,inv(e2))=unit), c_0_55, ['final']).+% 0.08/0.37 cnf(c_0_123,plain,(op(inv(e2),e2)=unit), c_0_56, ['final']).+% 0.08/0.37 cnf(c_0_124,plain,(op(e3,inv(e3))=unit), c_0_57, ['final']).+% 0.08/0.37 cnf(c_0_125,plain,(op(inv(e3),e3)=unit), c_0_58, ['final']).+% 0.08/0.37 cnf(c_0_126,plain,(op(e4,inv(e4))=unit), c_0_59, ['final']).+% 0.08/0.37 cnf(c_0_127,plain,(op(inv(e4),e4)=unit), c_0_60, ['final']).+% 0.08/0.37 cnf(c_0_128,plain,(op(e5,inv(e5))=unit), c_0_61, ['final']).+% 0.08/0.37 cnf(c_0_129,plain,(op(inv(e5),e5)=unit), c_0_62, ['final']).+% 0.08/0.37 cnf(c_0_130,plain,(op(unit,e0)=e0), c_0_63, ['final']).+% 0.08/0.37 cnf(c_0_131,plain,(op(e0,unit)=e0), c_0_64, ['final']).+% 0.08/0.37 cnf(c_0_132,plain,(op(unit,e1)=e1), c_0_65, ['final']).+% 0.08/0.37 cnf(c_0_133,plain,(op(e1,unit)=e1), c_0_66, ['final']).+% 0.08/0.37 cnf(c_0_134,plain,(op(unit,e2)=e2), c_0_67, ['final']).+% 0.08/0.37 cnf(c_0_135,plain,(op(e2,unit)=e2), c_0_68, ['final']).+% 0.08/0.37 cnf(c_0_136,plain,(op(unit,e3)=e3), c_0_69, ['final']).+% 0.08/0.37 cnf(c_0_137,plain,(op(e3,unit)=e3), c_0_70, ['final']).+% 0.08/0.37 cnf(c_0_138,plain,(op(unit,e4)=e4), c_0_71, ['final']).+% 0.08/0.37 cnf(c_0_139,plain,(op(e4,unit)=e4), c_0_72, ['final']).+% 0.08/0.37 cnf(c_0_140,plain,(op(unit,e5)=e5), c_0_73, ['final']).+% 0.08/0.37 cnf(c_0_141,plain,(op(e5,unit)=e5), c_0_74, ['final']).+% 0.08/0.37 cnf(c_0_142,plain,(unit=e5|unit=e4|unit=e3|unit=e2|unit=e1|unit=e0), c_0_75, ['final']).+% 0.08/0.37 % End CNF derivation+% 0.08/0.37 % Generating one_way clauses for all literals in the CNF.+% 0.08/0.37 cnf(c_0_76_0, axiom, (op(e0,e0)=e5+% 0.08/0.37 |(op(e0,e0)=e4+% 0.08/0.37 |(op(e0,e0)=e3+% 0.08/0.37 |(op(e0,e0)=e2+% 0.08/0.37 |(op(e0,e0)=e1+% 0.08/0.37 |op(e0,e0)=e0))))), inference(literals_permutation, [status(thm)], [c_0_76])).+% 0.08/0.37 cnf(c_0_76_1, axiom, ((op(e0,e0)=e4+% 0.08/0.37 |op(e0,e0)=e5)+% 0.08/0.37 |(op(e0,e0)=e3+% 0.08/0.37 |(op(e0,e0)=e2+% 0.08/0.37 |(op(e0,e0)=e1+% 0.08/0.37 |op(e0,e0)=e0)))), inference(literals_permutation, [status(thm)], [c_0_76])).+% 0.08/0.37 cnf(c_0_76_2, axiom, ((op(e0,e0)=e3+% 0.08/0.37 |(op(e0,e0)=e4+% 0.08/0.37 |op(e0,e0)=e5))+% 0.08/0.37 |(op(e0,e0)=e2+% 0.08/0.37 |(op(e0,e0)=e1+% 0.08/0.37 |op(e0,e0)=e0))), inference(literals_permutation, [status(thm)], [c_0_76])).+% 0.08/0.37 cnf(c_0_76_3, axiom, ((op(e0,e0)=e2+% 0.08/0.37 |(op(e0,e0)=e3+% 0.08/0.37 |(op(e0,e0)=e4+% 0.08/0.37 |op(e0,e0)=e5)))+% 0.08/0.37 |(op(e0,e0)=e1+% 0.08/0.37 |op(e0,e0)=e0)), inference(literals_permutation, [status(thm)], [c_0_76])).+% 0.08/0.37 cnf(c_0_76_4, axiom, ((op(e0,e0)=e1+% 0.08/0.37 |(op(e0,e0)=e2+% 0.08/0.37 |(op(e0,e0)=e3+% 0.08/0.37 |(op(e0,e0)=e4+% 0.08/0.37 |op(e0,e0)=e5))))+% 0.08/0.37 |op(e0,e0)=e0), inference(literals_permutation, [status(thm)], [c_0_76])).+% 0.08/0.37 cnf(c_0_76_5, axiom, (op(e0,e0)=e0+% 0.08/0.37 |(op(e0,e0)=e1+% 0.08/0.37 |(op(e0,e0)=e2+% 0.08/0.37 |(op(e0,e0)=e3+% 0.08/0.37 |(op(e0,e0)=e4+% 0.08/0.37 |op(e0,e0)=e5))))), inference(literals_permutation, [status(thm)], [c_0_76])).+% 0.08/0.37 cnf(c_0_77_0, axiom, (op(e0,e1)=e5+% 0.08/0.37 |(op(e0,e1)=e4+% 0.08/0.37 |(op(e0,e1)=e3+% 0.08/0.37 |(op(e0,e1)=e2+% 0.08/0.37 |(op(e0,e1)=e1+% 0.08/0.37 |op(e0,e1)=e0))))), inference(literals_permutation, [status(thm)], [c_0_77])).+% 0.08/0.37 cnf(c_0_77_1, axiom, ((op(e0,e1)=e4+% 0.08/0.37 |op(e0,e1)=e5)+% 0.08/0.37 |(op(e0,e1)=e3+% 0.08/0.37 |(op(e0,e1)=e2+% 0.08/0.37 |(op(e0,e1)=e1+% 0.08/0.37 |op(e0,e1)=e0)))), inference(literals_permutation, [status(thm)], [c_0_77])).+% 0.08/0.37 cnf(c_0_77_2, axiom, ((op(e0,e1)=e3+% 0.08/0.37 |(op(e0,e1)=e4+% 0.08/0.37 |op(e0,e1)=e5))+% 0.08/0.37 |(op(e0,e1)=e2+% 0.08/0.37 |(op(e0,e1)=e1+% 0.08/0.37 |op(e0,e1)=e0))), inference(literals_permutation, [status(thm)], [c_0_77])).+% 0.08/0.37 cnf(c_0_77_3, axiom, ((op(e0,e1)=e2+% 0.08/0.37 |(op(e0,e1)=e3+% 0.08/0.37 |(op(e0,e1)=e4+% 0.08/0.37 |op(e0,e1)=e5)))+% 0.08/0.37 |(op(e0,e1)=e1+% 0.08/0.37 |op(e0,e1)=e0)), inference(literals_permutation, [status(thm)], [c_0_77])).+% 0.08/0.37 cnf(c_0_77_4, axiom, ((op(e0,e1)=e1+% 0.08/0.37 |(op(e0,e1)=e2+% 0.08/0.37 |(op(e0,e1)=e3+% 0.08/0.37 |(op(e0,e1)=e4+% 0.08/0.37 |op(e0,e1)=e5))))+% 0.08/0.37 |op(e0,e1)=e0), inference(literals_permutation, [status(thm)], [c_0_77])).+% 0.08/0.37 cnf(c_0_77_5, axiom, (op(e0,e1)=e0+% 0.08/0.37 |(op(e0,e1)=e1+% 0.08/0.37 |(op(e0,e1)=e2+% 0.08/0.37 |(op(e0,e1)=e3+% 0.08/0.37 |(op(e0,e1)=e4+% 0.08/0.37 |op(e0,e1)=e5))))), inference(literals_permutation, [status(thm)], [c_0_77])).+% 0.08/0.37 cnf(c_0_78_0, axiom, (op(e0,e2)=e5+% 0.08/0.37 |(op(e0,e2)=e4+% 0.08/0.37 |(op(e0,e2)=e3+% 0.08/0.37 |(op(e0,e2)=e2+% 0.08/0.37 |(op(e0,e2)=e1+% 0.08/0.37 |op(e0,e2)=e0))))), inference(literals_permutation, [status(thm)], [c_0_78])).+% 0.08/0.37 cnf(c_0_78_1, axiom, ((op(e0,e2)=e4+% 0.08/0.37 |op(e0,e2)=e5)+% 0.08/0.37 |(op(e0,e2)=e3+% 0.08/0.37 |(op(e0,e2)=e2+% 0.08/0.37 |(op(e0,e2)=e1+% 0.08/0.37 |op(e0,e2)=e0)))), inference(literals_permutation, [status(thm)], [c_0_78])).+% 0.08/0.37 cnf(c_0_78_2, axiom, ((op(e0,e2)=e3+% 0.08/0.37 |(op(e0,e2)=e4+% 0.08/0.37 |op(e0,e2)=e5))+% 0.08/0.37 |(op(e0,e2)=e2+% 0.08/0.37 |(op(e0,e2)=e1+% 0.08/0.37 |op(e0,e2)=e0))), inference(literals_permutation, [status(thm)], [c_0_78])).+% 0.08/0.37 cnf(c_0_78_3, axiom, ((op(e0,e2)=e2+% 0.08/0.37 |(op(e0,e2)=e3+% 0.08/0.37 |(op(e0,e2)=e4+% 0.08/0.37 |op(e0,e2)=e5)))+% 0.08/0.37 |(op(e0,e2)=e1+% 0.08/0.37 |op(e0,e2)=e0)), inference(literals_permutation, [status(thm)], [c_0_78])).+% 0.08/0.37 cnf(c_0_78_4, axiom, ((op(e0,e2)=e1+% 0.08/0.37 |(op(e0,e2)=e2+% 0.08/0.37 |(op(e0,e2)=e3+% 0.08/0.37 |(op(e0,e2)=e4+% 0.08/0.37 |op(e0,e2)=e5))))+% 0.08/0.37 |op(e0,e2)=e0), inference(literals_permutation, [status(thm)], [c_0_78])).+% 0.08/0.37 cnf(c_0_78_5, axiom, (op(e0,e2)=e0+% 0.08/0.37 |(op(e0,e2)=e1+% 0.08/0.37 |(op(e0,e2)=e2+% 0.08/0.37 |(op(e0,e2)=e3+% 0.08/0.37 |(op(e0,e2)=e4+% 0.08/0.37 |op(e0,e2)=e5))))), inference(literals_permutation, [status(thm)], [c_0_78])).+% 0.08/0.37 cnf(c_0_79_0, axiom, (op(e0,e3)=e5+% 0.08/0.37 |(op(e0,e3)=e4+% 0.08/0.37 |(op(e0,e3)=e3+% 0.08/0.37 |(op(e0,e3)=e2+% 0.08/0.37 |(op(e0,e3)=e1+% 0.08/0.37 |op(e0,e3)=e0))))), inference(literals_permutation, [status(thm)], [c_0_79])).+% 0.08/0.37 cnf(c_0_79_1, axiom, ((op(e0,e3)=e4+% 0.08/0.37 |op(e0,e3)=e5)+% 0.08/0.37 |(op(e0,e3)=e3+% 0.08/0.37 |(op(e0,e3)=e2+% 0.08/0.37 |(op(e0,e3)=e1+% 0.08/0.37 |op(e0,e3)=e0)))), inference(literals_permutation, [status(thm)], [c_0_79])).+% 0.08/0.37 cnf(c_0_79_2, axiom, ((op(e0,e3)=e3+% 0.08/0.37 |(op(e0,e3)=e4+% 0.08/0.37 |op(e0,e3)=e5))+% 0.08/0.37 |(op(e0,e3)=e2+% 0.08/0.37 |(op(e0,e3)=e1+% 0.08/0.37 |op(e0,e3)=e0))), inference(literals_permutation, [status(thm)], [c_0_79])).+% 0.08/0.37 cnf(c_0_79_3, axiom, ((op(e0,e3)=e2+% 0.08/0.37 |(op(e0,e3)=e3+% 0.08/0.37 |(op(e0,e3)=e4+% 0.08/0.37 |op(e0,e3)=e5)))+% 0.08/0.37 |(op(e0,e3)=e1+% 0.08/0.37 |op(e0,e3)=e0)), inference(literals_permutation, [status(thm)], [c_0_79])).+% 0.08/0.37 cnf(c_0_79_4, axiom, ((op(e0,e3)=e1+% 0.08/0.37 |(op(e0,e3)=e2+% 0.08/0.37 |(op(e0,e3)=e3+% 0.08/0.37 |(op(e0,e3)=e4+% 0.08/0.37 |op(e0,e3)=e5))))+% 0.08/0.37 |op(e0,e3)=e0), inference(literals_permutation, [status(thm)], [c_0_79])).+% 0.08/0.37 cnf(c_0_79_5, axiom, (op(e0,e3)=e0+% 0.08/0.37 |(op(e0,e3)=e1+% 0.08/0.37 |(op(e0,e3)=e2+% 0.08/0.37 |(op(e0,e3)=e3+% 0.08/0.37 |(op(e0,e3)=e4+% 0.08/0.37 |op(e0,e3)=e5))))), inference(literals_permutation, [status(thm)], [c_0_79])).+% 0.08/0.37 cnf(c_0_80_0, axiom, (op(e0,e4)=e5+% 0.08/0.37 |(op(e0,e4)=e4+% 0.08/0.37 |(op(e0,e4)=e3+% 0.08/0.37 |(op(e0,e4)=e2+% 0.08/0.37 |(op(e0,e4)=e1+% 0.08/0.37 |op(e0,e4)=e0))))), inference(literals_permutation, [status(thm)], [c_0_80])).+% 0.08/0.37 cnf(c_0_80_1, axiom, ((op(e0,e4)=e4+% 0.08/0.37 |op(e0,e4)=e5)+% 0.08/0.37 |(op(e0,e4)=e3+% 0.08/0.37 |(op(e0,e4)=e2+% 0.08/0.37 |(op(e0,e4)=e1+% 0.08/0.37 |op(e0,e4)=e0)))), inference(literals_permutation, [status(thm)], [c_0_80])).+% 0.08/0.37 cnf(c_0_80_2, axiom, ((op(e0,e4)=e3+% 0.08/0.37 |(op(e0,e4)=e4+% 0.08/0.37 |op(e0,e4)=e5))+% 0.08/0.37 |(op(e0,e4)=e2+% 0.08/0.37 |(op(e0,e4)=e1+% 0.08/0.37 |op(e0,e4)=e0))), inference(literals_permutation, [status(thm)], [c_0_80])).+% 0.08/0.37 cnf(c_0_80_3, axiom, ((op(e0,e4)=e2+% 0.08/0.37 |(op(e0,e4)=e3+% 0.08/0.37 |(op(e0,e4)=e4+% 0.08/0.37 |op(e0,e4)=e5)))+% 0.08/0.37 |(op(e0,e4)=e1+% 0.08/0.37 |op(e0,e4)=e0)), inference(literals_permutation, [status(thm)], [c_0_80])).+% 0.08/0.37 cnf(c_0_80_4, axiom, ((op(e0,e4)=e1+% 0.08/0.37 |(op(e0,e4)=e2+% 0.08/0.37 |(op(e0,e4)=e3+% 0.08/0.37 |(op(e0,e4)=e4+% 0.08/0.37 |op(e0,e4)=e5))))+% 0.08/0.37 |op(e0,e4)=e0), inference(literals_permutation, [status(thm)], [c_0_80])).+% 0.08/0.37 cnf(c_0_80_5, axiom, (op(e0,e4)=e0+% 0.08/0.37 |(op(e0,e4)=e1+% 0.08/0.37 |(op(e0,e4)=e2+% 0.08/0.37 |(op(e0,e4)=e3+% 0.08/0.37 |(op(e0,e4)=e4+% 0.08/0.37 |op(e0,e4)=e5))))), inference(literals_permutation, [status(thm)], [c_0_80])).+% 0.08/0.37 cnf(c_0_81_0, axiom, (op(e0,e5)=e5+% 0.08/0.37 |(op(e0,e5)=e4+% 0.08/0.37 |(op(e0,e5)=e3+% 0.08/0.37 |(op(e0,e5)=e2+% 0.08/0.37 |(op(e0,e5)=e1+% 0.08/0.37 |op(e0,e5)=e0))))), inference(literals_permutation, [status(thm)], [c_0_81])).+% 0.08/0.37 cnf(c_0_81_1, axiom, ((op(e0,e5)=e4+% 0.08/0.37 |op(e0,e5)=e5)+% 0.08/0.37 |(op(e0,e5)=e3+% 0.08/0.37 |(op(e0,e5)=e2+% 0.08/0.37 |(op(e0,e5)=e1+% 0.08/0.37 |op(e0,e5)=e0)))), inference(literals_permutation, [status(thm)], [c_0_81])).+% 0.08/0.37 cnf(c_0_81_2, axiom, ((op(e0,e5)=e3+% 0.08/0.37 |(op(e0,e5)=e4+% 0.08/0.37 |op(e0,e5)=e5))+% 0.08/0.37 |(op(e0,e5)=e2+% 0.08/0.37 |(op(e0,e5)=e1+% 0.08/0.37 |op(e0,e5)=e0))), inference(literals_permutation, [status(thm)], [c_0_81])).+% 0.08/0.37 cnf(c_0_81_3, axiom, ((op(e0,e5)=e2+% 0.08/0.37 |(op(e0,e5)=e3+% 0.08/0.37 |(op(e0,e5)=e4+% 0.08/0.37 |op(e0,e5)=e5)))+% 0.08/0.37 |(op(e0,e5)=e1+% 0.08/0.37 |op(e0,e5)=e0)), inference(literals_permutation, [status(thm)], [c_0_81])).+% 0.08/0.37 cnf(c_0_81_4, axiom, ((op(e0,e5)=e1+% 0.08/0.37 |(op(e0,e5)=e2+% 0.08/0.37 |(op(e0,e5)=e3+% 0.08/0.37 |(op(e0,e5)=e4+% 0.08/0.37 |op(e0,e5)=e5))))+% 0.08/0.37 |op(e0,e5)=e0), inference(literals_permutation, [status(thm)], [c_0_81])).+% 0.08/0.37 cnf(c_0_81_5, axiom, (op(e0,e5)=e0+% 0.08/0.37 |(op(e0,e5)=e1+% 0.08/0.37 |(op(e0,e5)=e2+% 0.08/0.37 |(op(e0,e5)=e3+% 0.08/0.37 |(op(e0,e5)=e4+% 0.08/0.37 |op(e0,e5)=e5))))), inference(literals_permutation, [status(thm)], [c_0_81])).+% 0.08/0.37 cnf(c_0_82_0, axiom, (op(e1,e0)=e5+% 0.08/0.37 |(op(e1,e0)=e4+% 0.08/0.37 |(op(e1,e0)=e3+% 0.08/0.37 |(op(e1,e0)=e2+% 0.08/0.37 |(op(e1,e0)=e1+% 0.08/0.37 |op(e1,e0)=e0))))), inference(literals_permutation, [status(thm)], [c_0_82])).+% 0.08/0.37 cnf(c_0_82_1, axiom, ((op(e1,e0)=e4+% 0.08/0.37 |op(e1,e0)=e5)+% 0.08/0.37 |(op(e1,e0)=e3+% 0.08/0.37 |(op(e1,e0)=e2+% 0.08/0.37 |(op(e1,e0)=e1+% 0.08/0.37 |op(e1,e0)=e0)))), inference(literals_permutation, [status(thm)], [c_0_82])).+% 0.08/0.37 cnf(c_0_82_2, axiom, ((op(e1,e0)=e3+% 0.08/0.37 |(op(e1,e0)=e4+% 0.08/0.37 |op(e1,e0)=e5))+% 0.08/0.37 |(op(e1,e0)=e2+% 0.08/0.37 |(op(e1,e0)=e1+% 0.08/0.37 |op(e1,e0)=e0))), inference(literals_permutation, [status(thm)], [c_0_82])).+% 0.08/0.37 cnf(c_0_82_3, axiom, ((op(e1,e0)=e2+% 0.08/0.37 |(op(e1,e0)=e3+% 0.08/0.37 |(op(e1,e0)=e4+% 0.08/0.37 |op(e1,e0)=e5)))+% 0.08/0.37 |(op(e1,e0)=e1+% 0.08/0.37 |op(e1,e0)=e0)), inference(literals_permutation, [status(thm)], [c_0_82])).+% 0.08/0.37 cnf(c_0_82_4, axiom, ((op(e1,e0)=e1+% 0.08/0.37 |(op(e1,e0)=e2+% 0.08/0.38 |(op(e1,e0)=e3+% 0.08/0.38 |(op(e1,e0)=e4+% 0.08/0.38 |op(e1,e0)=e5))))+% 0.08/0.38 |op(e1,e0)=e0), inference(literals_permutation, [status(thm)], [c_0_82])).+% 0.08/0.38 cnf(c_0_82_5, axiom, (op(e1,e0)=e0+% 0.08/0.38 |(op(e1,e0)=e1+% 0.08/0.38 |(op(e1,e0)=e2+% 0.08/0.38 |(op(e1,e0)=e3+% 0.08/0.38 |(op(e1,e0)=e4+% 0.08/0.38 |op(e1,e0)=e5))))), inference(literals_permutation, [status(thm)], [c_0_82])).+% 0.08/0.38 cnf(c_0_83_0, axiom, (op(e1,e1)=e5+% 0.08/0.38 |(op(e1,e1)=e4+% 0.08/0.38 |(op(e1,e1)=e3+% 0.08/0.38 |(op(e1,e1)=e2+% 0.08/0.38 |(op(e1,e1)=e1+% 0.08/0.38 |op(e1,e1)=e0))))), inference(literals_permutation, [status(thm)], [c_0_83])).+% 0.08/0.38 cnf(c_0_83_1, axiom, ((op(e1,e1)=e4+% 0.08/0.38 |op(e1,e1)=e5)+% 0.08/0.38 |(op(e1,e1)=e3+% 0.08/0.38 |(op(e1,e1)=e2+% 0.08/0.38 |(op(e1,e1)=e1+% 0.08/0.38 |op(e1,e1)=e0)))), inference(literals_permutation, [status(thm)], [c_0_83])).+% 0.08/0.38 cnf(c_0_83_2, axiom, ((op(e1,e1)=e3+% 0.08/0.38 |(op(e1,e1)=e4+% 0.08/0.38 |op(e1,e1)=e5))+% 0.08/0.38 |(op(e1,e1)=e2+% 0.08/0.38 |(op(e1,e1)=e1+% 0.08/0.38 |op(e1,e1)=e0))), inference(literals_permutation, [status(thm)], [c_0_83])).+% 0.08/0.38 cnf(c_0_83_3, axiom, ((op(e1,e1)=e2+% 0.08/0.38 |(op(e1,e1)=e3+% 0.08/0.38 |(op(e1,e1)=e4+% 0.08/0.38 |op(e1,e1)=e5)))+% 0.08/0.38 |(op(e1,e1)=e1+% 0.08/0.38 |op(e1,e1)=e0)), inference(literals_permutation, [status(thm)], [c_0_83])).+% 0.08/0.38 cnf(c_0_83_4, axiom, ((op(e1,e1)=e1+% 0.08/0.38 |(op(e1,e1)=e2+% 0.08/0.38 |(op(e1,e1)=e3+% 0.08/0.38 |(op(e1,e1)=e4+% 0.08/0.38 |op(e1,e1)=e5))))+% 0.08/0.38 |op(e1,e1)=e0), inference(literals_permutation, [status(thm)], [c_0_83])).+% 0.08/0.38 cnf(c_0_83_5, axiom, (op(e1,e1)=e0+% 0.08/0.38 |(op(e1,e1)=e1+% 0.08/0.38 |(op(e1,e1)=e2+% 0.08/0.38 |(op(e1,e1)=e3+% 0.08/0.38 |(op(e1,e1)=e4+% 0.08/0.38 |op(e1,e1)=e5))))), inference(literals_permutation, [status(thm)], [c_0_83])).+% 0.08/0.38 cnf(c_0_84_0, axiom, (op(e1,e2)=e5+% 0.08/0.38 |(op(e1,e2)=e4+% 0.08/0.38 |(op(e1,e2)=e3+% 0.08/0.38 |(op(e1,e2)=e2+% 0.08/0.38 |(op(e1,e2)=e1+% 0.08/0.38 |op(e1,e2)=e0))))), inference(literals_permutation, [status(thm)], [c_0_84])).+% 0.08/0.38 cnf(c_0_84_1, axiom, ((op(e1,e2)=e4+% 0.08/0.38 |op(e1,e2)=e5)+% 0.08/0.38 |(op(e1,e2)=e3+% 0.08/0.38 |(op(e1,e2)=e2+% 0.08/0.38 |(op(e1,e2)=e1+% 0.08/0.38 |op(e1,e2)=e0)))), inference(literals_permutation, [status(thm)], [c_0_84])).+% 0.08/0.38 cnf(c_0_84_2, axiom, ((op(e1,e2)=e3+% 0.08/0.38 |(op(e1,e2)=e4+% 0.08/0.38 |op(e1,e2)=e5))+% 0.08/0.38 |(op(e1,e2)=e2+% 0.08/0.38 |(op(e1,e2)=e1+% 0.08/0.38 |op(e1,e2)=e0))), inference(literals_permutation, [status(thm)], [c_0_84])).+% 0.08/0.38 cnf(c_0_84_3, axiom, ((op(e1,e2)=e2+% 0.08/0.38 |(op(e1,e2)=e3+% 0.08/0.38 |(op(e1,e2)=e4+% 0.08/0.38 |op(e1,e2)=e5)))+% 0.08/0.38 |(op(e1,e2)=e1+% 0.08/0.38 |op(e1,e2)=e0)), inference(literals_permutation, [status(thm)], [c_0_84])).+% 0.08/0.38 cnf(c_0_84_4, axiom, ((op(e1,e2)=e1+% 0.08/0.38 |(op(e1,e2)=e2+% 0.08/0.38 |(op(e1,e2)=e3+% 0.08/0.38 |(op(e1,e2)=e4+% 0.08/0.38 |op(e1,e2)=e5))))+% 0.08/0.38 |op(e1,e2)=e0), inference(literals_permutation, [status(thm)], [c_0_84])).+% 0.08/0.38 cnf(c_0_84_5, axiom, (op(e1,e2)=e0+% 0.08/0.38 |(op(e1,e2)=e1+% 0.08/0.38 |(op(e1,e2)=e2+% 0.08/0.38 |(op(e1,e2)=e3+% 0.08/0.38 |(op(e1,e2)=e4+% 0.08/0.38 |op(e1,e2)=e5))))), inference(literals_permutation, [status(thm)], [c_0_84])).+% 0.08/0.38 cnf(c_0_85_0, axiom, (op(e1,e3)=e5+% 0.08/0.38 |(op(e1,e3)=e4+% 0.08/0.38 |(op(e1,e3)=e3+% 0.08/0.38 |(op(e1,e3)=e2+% 0.08/0.38 |(op(e1,e3)=e1+% 0.08/0.38 |op(e1,e3)=e0))))), inference(literals_permutation, [status(thm)], [c_0_85])).+% 0.08/0.38 cnf(c_0_85_1, axiom, ((op(e1,e3)=e4+% 0.08/0.38 |op(e1,e3)=e5)+% 0.08/0.38 |(op(e1,e3)=e3+% 0.08/0.38 |(op(e1,e3)=e2+% 0.08/0.38 |(op(e1,e3)=e1+% 0.08/0.38 |op(e1,e3)=e0)))), inference(literals_permutation, [status(thm)], [c_0_85])).+% 0.08/0.38 cnf(c_0_85_2, axiom, ((op(e1,e3)=e3+% 0.08/0.38 |(op(e1,e3)=e4+% 0.08/0.38 |op(e1,e3)=e5))+% 0.08/0.38 |(op(e1,e3)=e2+% 0.08/0.38 |(op(e1,e3)=e1+% 0.08/0.38 |op(e1,e3)=e0))), inference(literals_permutation, [status(thm)], [c_0_85])).+% 0.08/0.38 cnf(c_0_85_3, axiom, ((op(e1,e3)=e2+% 0.08/0.38 |(op(e1,e3)=e3+% 0.08/0.38 |(op(e1,e3)=e4+% 0.08/0.38 |op(e1,e3)=e5)))+% 0.08/0.38 |(op(e1,e3)=e1+% 0.08/0.38 |op(e1,e3)=e0)), inference(literals_permutation, [status(thm)], [c_0_85])).+% 0.08/0.38 cnf(c_0_85_4, axiom, ((op(e1,e3)=e1+% 0.08/0.38 |(op(e1,e3)=e2+% 0.08/0.38 |(op(e1,e3)=e3+% 0.08/0.38 |(op(e1,e3)=e4+% 0.08/0.38 |op(e1,e3)=e5))))+% 0.08/0.38 |op(e1,e3)=e0), inference(literals_permutation, [status(thm)], [c_0_85])).+% 0.08/0.38 cnf(c_0_85_5, axiom, (op(e1,e3)=e0+% 0.08/0.38 |(op(e1,e3)=e1+% 0.08/0.38 |(op(e1,e3)=e2+% 0.08/0.38 |(op(e1,e3)=e3+% 0.08/0.38 |(op(e1,e3)=e4+% 0.08/0.38 |op(e1,e3)=e5))))), inference(literals_permutation, [status(thm)], [c_0_85])).+% 0.08/0.38 cnf(c_0_86_0, axiom, (op(e1,e4)=e5+% 0.08/0.38 |(op(e1,e4)=e4+% 0.08/0.38 |(op(e1,e4)=e3+% 0.08/0.38 |(op(e1,e4)=e2+% 0.08/0.38 |(op(e1,e4)=e1+% 0.08/0.38 |op(e1,e4)=e0))))), inference(literals_permutation, [status(thm)], [c_0_86])).+% 0.08/0.38 cnf(c_0_86_1, axiom, ((op(e1,e4)=e4+% 0.08/0.38 |op(e1,e4)=e5)+% 0.08/0.38 |(op(e1,e4)=e3+% 0.08/0.38 |(op(e1,e4)=e2+% 0.08/0.38 |(op(e1,e4)=e1+% 0.08/0.38 |op(e1,e4)=e0)))), inference(literals_permutation, [status(thm)], [c_0_86])).+% 0.08/0.38 cnf(c_0_86_2, axiom, ((op(e1,e4)=e3+% 0.08/0.38 |(op(e1,e4)=e4+% 0.08/0.38 |op(e1,e4)=e5))+% 0.08/0.38 |(op(e1,e4)=e2+% 0.08/0.38 |(op(e1,e4)=e1+% 0.08/0.38 |op(e1,e4)=e0))), inference(literals_permutation, [status(thm)], [c_0_86])).+% 0.08/0.38 cnf(c_0_86_3, axiom, ((op(e1,e4)=e2+% 0.08/0.38 |(op(e1,e4)=e3+% 0.08/0.38 |(op(e1,e4)=e4+% 0.08/0.38 |op(e1,e4)=e5)))+% 0.08/0.38 |(op(e1,e4)=e1+% 0.08/0.38 |op(e1,e4)=e0)), inference(literals_permutation, [status(thm)], [c_0_86])).+% 0.08/0.38 cnf(c_0_86_4, axiom, ((op(e1,e4)=e1+% 0.08/0.38 |(op(e1,e4)=e2+% 0.08/0.38 |(op(e1,e4)=e3+% 0.08/0.38 |(op(e1,e4)=e4+% 0.08/0.38 |op(e1,e4)=e5))))+% 0.08/0.38 |op(e1,e4)=e0), inference(literals_permutation, [status(thm)], [c_0_86])).+% 0.08/0.38 cnf(c_0_86_5, axiom, (op(e1,e4)=e0+% 0.08/0.38 |(op(e1,e4)=e1+% 0.08/0.38 |(op(e1,e4)=e2+% 0.08/0.38 |(op(e1,e4)=e3+% 0.08/0.38 |(op(e1,e4)=e4+% 0.08/0.38 |op(e1,e4)=e5))))), inference(literals_permutation, [status(thm)], [c_0_86])).+% 0.08/0.38 cnf(c_0_87_0, axiom, (op(e1,e5)=e5+% 0.08/0.38 |(op(e1,e5)=e4+% 0.08/0.38 |(op(e1,e5)=e3+% 0.08/0.38 |(op(e1,e5)=e2+% 0.08/0.38 |(op(e1,e5)=e1+% 0.08/0.38 |op(e1,e5)=e0))))), inference(literals_permutation, [status(thm)], [c_0_87])).+% 0.08/0.38 cnf(c_0_87_1, axiom, ((op(e1,e5)=e4+% 0.08/0.38 |op(e1,e5)=e5)+% 0.08/0.38 |(op(e1,e5)=e3+% 0.08/0.38 |(op(e1,e5)=e2+% 0.08/0.38 |(op(e1,e5)=e1+% 0.08/0.38 |op(e1,e5)=e0)))), inference(literals_permutation, [status(thm)], [c_0_87])).+% 0.08/0.38 cnf(c_0_87_2, axiom, ((op(e1,e5)=e3+% 0.08/0.38 |(op(e1,e5)=e4+% 0.08/0.38 |op(e1,e5)=e5))+% 0.08/0.38 |(op(e1,e5)=e2+% 0.08/0.38 |(op(e1,e5)=e1+% 0.08/0.38 |op(e1,e5)=e0))), inference(literals_permutation, [status(thm)], [c_0_87])).+% 0.08/0.38 cnf(c_0_87_3, axiom, ((op(e1,e5)=e2+% 0.08/0.38 |(op(e1,e5)=e3+% 0.08/0.38 |(op(e1,e5)=e4+% 0.08/0.38 |op(e1,e5)=e5)))+% 0.08/0.38 |(op(e1,e5)=e1+% 0.08/0.38 |op(e1,e5)=e0)), inference(literals_permutation, [status(thm)], [c_0_87])).+% 0.08/0.38 cnf(c_0_87_4, axiom, ((op(e1,e5)=e1+% 0.08/0.38 |(op(e1,e5)=e2+% 0.08/0.38 |(op(e1,e5)=e3+% 0.08/0.38 |(op(e1,e5)=e4+% 0.08/0.38 |op(e1,e5)=e5))))+% 0.08/0.38 |op(e1,e5)=e0), inference(literals_permutation, [status(thm)], [c_0_87])).+% 0.08/0.38 cnf(c_0_87_5, axiom, (op(e1,e5)=e0+% 0.08/0.38 |(op(e1,e5)=e1+% 0.08/0.38 |(op(e1,e5)=e2+% 0.08/0.38 |(op(e1,e5)=e3+% 0.08/0.38 |(op(e1,e5)=e4+% 0.08/0.38 |op(e1,e5)=e5))))), inference(literals_permutation, [status(thm)], [c_0_87])).+% 0.08/0.38 cnf(c_0_88_0, axiom, (op(e2,e0)=e5+% 0.08/0.38 |(op(e2,e0)=e4+% 0.08/0.38 |(op(e2,e0)=e3+% 0.08/0.38 |(op(e2,e0)=e2+% 0.08/0.38 |(op(e2,e0)=e1+% 0.08/0.38 |op(e2,e0)=e0))))), inference(literals_permutation, [status(thm)], [c_0_88])).+% 0.08/0.38 cnf(c_0_88_1, axiom, ((op(e2,e0)=e4+% 0.08/0.38 |op(e2,e0)=e5)+% 0.08/0.38 |(op(e2,e0)=e3+% 0.08/0.38 |(op(e2,e0)=e2+% 0.08/0.38 |(op(e2,e0)=e1+% 0.08/0.38 |op(e2,e0)=e0)))), inference(literals_permutation, [status(thm)], [c_0_88])).+% 0.08/0.38 cnf(c_0_88_2, axiom, ((op(e2,e0)=e3+% 0.08/0.38 |(op(e2,e0)=e4+% 0.08/0.38 |op(e2,e0)=e5))+% 0.08/0.38 |(op(e2,e0)=e2+% 0.08/0.38 |(op(e2,e0)=e1+% 0.08/0.38 |op(e2,e0)=e0))), inference(literals_permutation, [status(thm)], [c_0_88])).+% 0.08/0.38 cnf(c_0_88_3, axiom, ((op(e2,e0)=e2+% 0.08/0.38 |(op(e2,e0)=e3+% 0.08/0.38 |(op(e2,e0)=e4+% 0.08/0.38 |op(e2,e0)=e5)))+% 0.08/0.38 |(op(e2,e0)=e1+% 0.08/0.38 |op(e2,e0)=e0)), inference(literals_permutation, [status(thm)], [c_0_88])).+% 0.08/0.38 cnf(c_0_88_4, axiom, ((op(e2,e0)=e1+% 0.08/0.38 |(op(e2,e0)=e2+% 0.08/0.38 |(op(e2,e0)=e3+% 0.08/0.38 |(op(e2,e0)=e4+% 0.08/0.38 |op(e2,e0)=e5))))+% 0.08/0.38 |op(e2,e0)=e0), inference(literals_permutation, [status(thm)], [c_0_88])).+% 0.08/0.38 cnf(c_0_88_5, axiom, (op(e2,e0)=e0+% 0.08/0.38 |(op(e2,e0)=e1+% 0.08/0.38 |(op(e2,e0)=e2+% 0.08/0.38 |(op(e2,e0)=e3+% 0.08/0.38 |(op(e2,e0)=e4+% 0.08/0.38 |op(e2,e0)=e5))))), inference(literals_permutation, [status(thm)], [c_0_88])).+% 0.08/0.38 cnf(c_0_89_0, axiom, (op(e2,e1)=e5+% 0.08/0.38 |(op(e2,e1)=e4+% 0.08/0.38 |(op(e2,e1)=e3+% 0.08/0.38 |(op(e2,e1)=e2+% 0.08/0.38 |(op(e2,e1)=e1+% 0.08/0.38 |op(e2,e1)=e0))))), inference(literals_permutation, [status(thm)], [c_0_89])).+% 0.08/0.38 cnf(c_0_89_1, axiom, ((op(e2,e1)=e4+% 0.08/0.38 |op(e2,e1)=e5)+% 0.08/0.38 |(op(e2,e1)=e3+% 0.08/0.38 |(op(e2,e1)=e2+% 0.08/0.38 |(op(e2,e1)=e1+% 0.08/0.38 |op(e2,e1)=e0)))), inference(literals_permutation, [status(thm)], [c_0_89])).+% 0.08/0.38 cnf(c_0_89_2, axiom, ((op(e2,e1)=e3+% 0.08/0.38 |(op(e2,e1)=e4+% 0.08/0.38 |op(e2,e1)=e5))+% 0.08/0.38 |(op(e2,e1)=e2+% 0.08/0.38 |(op(e2,e1)=e1+% 0.08/0.38 |op(e2,e1)=e0))), inference(literals_permutation, [status(thm)], [c_0_89])).+% 0.08/0.38 cnf(c_0_89_3, axiom, ((op(e2,e1)=e2+% 0.08/0.38 |(op(e2,e1)=e3+% 0.08/0.38 |(op(e2,e1)=e4+% 0.08/0.38 |op(e2,e1)=e5)))+% 0.08/0.38 |(op(e2,e1)=e1+% 0.08/0.38 |op(e2,e1)=e0)), inference(literals_permutation, [status(thm)], [c_0_89])).+% 0.08/0.38 cnf(c_0_89_4, axiom, ((op(e2,e1)=e1+% 0.08/0.38 |(op(e2,e1)=e2+% 0.08/0.38 |(op(e2,e1)=e3+% 0.08/0.38 |(op(e2,e1)=e4+% 0.08/0.38 |op(e2,e1)=e5))))+% 0.08/0.38 |op(e2,e1)=e0), inference(literals_permutation, [status(thm)], [c_0_89])).+% 0.08/0.38 cnf(c_0_89_5, axiom, (op(e2,e1)=e0+% 0.08/0.38 |(op(e2,e1)=e1+% 0.08/0.38 |(op(e2,e1)=e2+% 0.08/0.38 |(op(e2,e1)=e3+% 0.08/0.38 |(op(e2,e1)=e4+% 0.08/0.38 |op(e2,e1)=e5))))), inference(literals_permutation, [status(thm)], [c_0_89])).+% 0.08/0.38 cnf(c_0_90_0, axiom, (op(e2,e2)=e5+% 0.08/0.38 |(op(e2,e2)=e4+% 0.08/0.38 |(op(e2,e2)=e3+% 0.08/0.38 |(op(e2,e2)=e2+% 0.08/0.38 |(op(e2,e2)=e1+% 0.08/0.38 |op(e2,e2)=e0))))), inference(literals_permutation, [status(thm)], [c_0_90])).+% 0.08/0.38 cnf(c_0_90_1, axiom, ((op(e2,e2)=e4+% 0.08/0.38 |op(e2,e2)=e5)+% 0.08/0.38 |(op(e2,e2)=e3+% 0.08/0.38 |(op(e2,e2)=e2+% 0.08/0.38 |(op(e2,e2)=e1+% 0.08/0.38 |op(e2,e2)=e0)))), inference(literals_permutation, [status(thm)], [c_0_90])).+% 0.08/0.38 cnf(c_0_90_2, axiom, ((op(e2,e2)=e3+% 0.08/0.38 |(op(e2,e2)=e4+% 0.08/0.38 |op(e2,e2)=e5))+% 0.08/0.38 |(op(e2,e2)=e2+% 0.08/0.38 |(op(e2,e2)=e1+% 0.08/0.38 |op(e2,e2)=e0))), inference(literals_permutation, [status(thm)], [c_0_90])).+% 0.08/0.38 cnf(c_0_90_3, axiom, ((op(e2,e2)=e2+% 0.08/0.38 |(op(e2,e2)=e3+% 0.08/0.38 |(op(e2,e2)=e4+% 0.08/0.38 |op(e2,e2)=e5)))+% 0.08/0.38 |(op(e2,e2)=e1+% 0.08/0.38 |op(e2,e2)=e0)), inference(literals_permutation, [status(thm)], [c_0_90])).+% 0.08/0.38 cnf(c_0_90_4, axiom, ((op(e2,e2)=e1+% 0.08/0.38 |(op(e2,e2)=e2+% 0.08/0.38 |(op(e2,e2)=e3+% 0.08/0.38 |(op(e2,e2)=e4+% 0.08/0.38 |op(e2,e2)=e5))))+% 0.08/0.38 |op(e2,e2)=e0), inference(literals_permutation, [status(thm)], [c_0_90])).+% 0.08/0.38 cnf(c_0_90_5, axiom, (op(e2,e2)=e0+% 0.08/0.38 |(op(e2,e2)=e1+% 0.08/0.38 |(op(e2,e2)=e2+% 0.08/0.38 |(op(e2,e2)=e3+% 0.08/0.38 |(op(e2,e2)=e4+% 0.08/0.38 |op(e2,e2)=e5))))), inference(literals_permutation, [status(thm)], [c_0_90])).+% 0.08/0.38 cnf(c_0_91_0, axiom, (op(e2,e3)=e5+% 0.08/0.38 |(op(e2,e3)=e4+% 0.08/0.38 |(op(e2,e3)=e3+% 0.08/0.38 |(op(e2,e3)=e2+% 0.08/0.38 |(op(e2,e3)=e1+% 0.08/0.38 |op(e2,e3)=e0))))), inference(literals_permutation, [status(thm)], [c_0_91])).+% 0.08/0.38 cnf(c_0_91_1, axiom, ((op(e2,e3)=e4+% 0.08/0.38 |op(e2,e3)=e5)+% 0.08/0.38 |(op(e2,e3)=e3+% 0.08/0.38 |(op(e2,e3)=e2+% 0.08/0.38 |(op(e2,e3)=e1+% 0.08/0.38 |op(e2,e3)=e0)))), inference(literals_permutation, [status(thm)], [c_0_91])).+% 0.08/0.38 cnf(c_0_91_2, axiom, ((op(e2,e3)=e3+% 0.08/0.38 |(op(e2,e3)=e4+% 0.08/0.38 |op(e2,e3)=e5))+% 0.08/0.38 |(op(e2,e3)=e2+% 0.08/0.38 |(op(e2,e3)=e1+% 0.08/0.38 |op(e2,e3)=e0))), inference(literals_permutation, [status(thm)], [c_0_91])).+% 0.08/0.38 cnf(c_0_91_3, axiom, ((op(e2,e3)=e2+% 0.08/0.38 |(op(e2,e3)=e3+% 0.08/0.38 |(op(e2,e3)=e4+% 0.08/0.38 |op(e2,e3)=e5)))+% 0.08/0.38 |(op(e2,e3)=e1+% 0.08/0.38 |op(e2,e3)=e0)), inference(literals_permutation, [status(thm)], [c_0_91])).+% 0.08/0.38 cnf(c_0_91_4, axiom, ((op(e2,e3)=e1+% 0.08/0.38 |(op(e2,e3)=e2+% 0.08/0.38 |(op(e2,e3)=e3+% 0.08/0.38 |(op(e2,e3)=e4+% 0.08/0.38 |op(e2,e3)=e5))))+% 0.08/0.38 |op(e2,e3)=e0), inference(literals_permutation, [status(thm)], [c_0_91])).+% 0.08/0.38 cnf(c_0_91_5, axiom, (op(e2,e3)=e0+% 0.08/0.38 |(op(e2,e3)=e1+% 0.08/0.38 |(op(e2,e3)=e2+% 0.08/0.38 |(op(e2,e3)=e3+% 0.08/0.38 |(op(e2,e3)=e4+% 0.08/0.38 |op(e2,e3)=e5))))), inference(literals_permutation, [status(thm)], [c_0_91])).+% 0.08/0.38 cnf(c_0_92_0, axiom, (op(e2,e4)=e5+% 0.08/0.38 |(op(e2,e4)=e4+% 0.08/0.38 |(op(e2,e4)=e3+% 0.08/0.38 |(op(e2,e4)=e2+% 0.08/0.38 |(op(e2,e4)=e1+% 0.08/0.38 |op(e2,e4)=e0))))), inference(literals_permutation, [status(thm)], [c_0_92])).+% 0.08/0.38 cnf(c_0_92_1, axiom, ((op(e2,e4)=e4+% 0.08/0.38 |op(e2,e4)=e5)+% 0.08/0.38 |(op(e2,e4)=e3+% 0.08/0.38 |(op(e2,e4)=e2+% 0.08/0.38 |(op(e2,e4)=e1+% 0.08/0.38 |op(e2,e4)=e0)))), inference(literals_permutation, [status(thm)], [c_0_92])).+% 0.08/0.38 cnf(c_0_92_2, axiom, ((op(e2,e4)=e3+% 0.08/0.38 |(op(e2,e4)=e4+% 0.08/0.38 |op(e2,e4)=e5))+% 0.08/0.38 |(op(e2,e4)=e2+% 0.08/0.38 |(op(e2,e4)=e1+% 0.08/0.38 |op(e2,e4)=e0))), inference(literals_permutation, [status(thm)], [c_0_92])).+% 0.08/0.38 cnf(c_0_92_3, axiom, ((op(e2,e4)=e2+% 0.08/0.38 |(op(e2,e4)=e3+% 0.08/0.38 |(op(e2,e4)=e4+% 0.08/0.38 |op(e2,e4)=e5)))+% 0.08/0.38 |(op(e2,e4)=e1+% 0.08/0.38 |op(e2,e4)=e0)), inference(literals_permutation, [status(thm)], [c_0_92])).+% 0.08/0.38 cnf(c_0_92_4, axiom, ((op(e2,e4)=e1+% 0.08/0.38 |(op(e2,e4)=e2+% 0.08/0.38 |(op(e2,e4)=e3+% 0.08/0.38 |(op(e2,e4)=e4+% 0.08/0.38 |op(e2,e4)=e5))))+% 0.08/0.38 |op(e2,e4)=e0), inference(literals_permutation, [status(thm)], [c_0_92])).+% 0.08/0.38 cnf(c_0_92_5, axiom, (op(e2,e4)=e0+% 0.08/0.38 |(op(e2,e4)=e1+% 0.08/0.38 |(op(e2,e4)=e2+% 0.08/0.38 |(op(e2,e4)=e3+% 0.08/0.38 |(op(e2,e4)=e4+% 0.08/0.38 |op(e2,e4)=e5))))), inference(literals_permutation, [status(thm)], [c_0_92])).+% 0.08/0.38 cnf(c_0_93_0, axiom, (op(e2,e5)=e5+% 0.08/0.38 |(op(e2,e5)=e4+% 0.08/0.38 |(op(e2,e5)=e3+% 0.08/0.38 |(op(e2,e5)=e2+% 0.08/0.38 |(op(e2,e5)=e1+% 0.08/0.38 |op(e2,e5)=e0))))), inference(literals_permutation, [status(thm)], [c_0_93])).+% 0.08/0.38 cnf(c_0_93_1, axiom, ((op(e2,e5)=e4+% 0.08/0.38 |op(e2,e5)=e5)+% 0.08/0.38 |(op(e2,e5)=e3+% 0.08/0.38 |(op(e2,e5)=e2+% 0.08/0.38 |(op(e2,e5)=e1+% 0.08/0.38 |op(e2,e5)=e0)))), inference(literals_permutation, [status(thm)], [c_0_93])).+% 0.08/0.38 cnf(c_0_93_2, axiom, ((op(e2,e5)=e3+% 0.08/0.38 |(op(e2,e5)=e4+% 0.08/0.38 |op(e2,e5)=e5))+% 0.08/0.38 |(op(e2,e5)=e2+% 0.08/0.38 |(op(e2,e5)=e1+% 0.08/0.38 |op(e2,e5)=e0))), inference(literals_permutation, [status(thm)], [c_0_93])).+% 0.08/0.38 cnf(c_0_93_3, axiom, ((op(e2,e5)=e2+% 0.08/0.38 |(op(e2,e5)=e3+% 0.08/0.38 |(op(e2,e5)=e4+% 0.08/0.38 |op(e2,e5)=e5)))+% 0.08/0.38 |(op(e2,e5)=e1+% 0.08/0.38 |op(e2,e5)=e0)), inference(literals_permutation, [status(thm)], [c_0_93])).+% 0.08/0.38 cnf(c_0_93_4, axiom, ((op(e2,e5)=e1+% 0.08/0.38 |(op(e2,e5)=e2+% 0.08/0.38 |(op(e2,e5)=e3+% 0.08/0.38 |(op(e2,e5)=e4+% 0.08/0.38 |op(e2,e5)=e5))))+% 0.08/0.38 |op(e2,e5)=e0), inference(literals_permutation, [status(thm)], [c_0_93])).+% 0.08/0.38 cnf(c_0_93_5, axiom, (op(e2,e5)=e0+% 0.08/0.38 |(op(e2,e5)=e1+% 0.08/0.38 |(op(e2,e5)=e2+% 0.08/0.38 |(op(e2,e5)=e3+% 0.08/0.38 |(op(e2,e5)=e4+% 0.08/0.38 |op(e2,e5)=e5))))), inference(literals_permutation, [status(thm)], [c_0_93])).+% 0.08/0.38 cnf(c_0_94_0, axiom, (op(e3,e0)=e5+% 0.08/0.38 |(op(e3,e0)=e4+% 0.08/0.38 |(op(e3,e0)=e3+% 0.08/0.38 |(op(e3,e0)=e2+% 0.08/0.38 |(op(e3,e0)=e1+% 0.08/0.38 |op(e3,e0)=e0))))), inference(literals_permutation, [status(thm)], [c_0_94])).+% 0.08/0.38 cnf(c_0_94_1, axiom, ((op(e3,e0)=e4+% 0.08/0.38 |op(e3,e0)=e5)+% 0.08/0.38 |(op(e3,e0)=e3+% 0.08/0.38 |(op(e3,e0)=e2+% 0.08/0.38 |(op(e3,e0)=e1+% 0.08/0.38 |op(e3,e0)=e0)))), inference(literals_permutation, [status(thm)], [c_0_94])).+% 0.08/0.38 cnf(c_0_94_2, axiom, ((op(e3,e0)=e3+% 0.08/0.38 |(op(e3,e0)=e4+% 0.08/0.38 |op(e3,e0)=e5))+% 0.08/0.38 |(op(e3,e0)=e2+% 0.08/0.38 |(op(e3,e0)=e1+% 0.08/0.38 |op(e3,e0)=e0))), inference(literals_permutation, [status(thm)], [c_0_94])).+% 0.08/0.38 cnf(c_0_94_3, axiom, ((op(e3,e0)=e2+% 0.08/0.38 |(op(e3,e0)=e3+% 0.08/0.38 |(op(e3,e0)=e4+% 0.08/0.38 |op(e3,e0)=e5)))+% 0.08/0.38 |(op(e3,e0)=e1+% 0.08/0.38 |op(e3,e0)=e0)), inference(literals_permutation, [status(thm)], [c_0_94])).+% 0.08/0.38 cnf(c_0_94_4, axiom, ((op(e3,e0)=e1+% 0.08/0.38 |(op(e3,e0)=e2+% 0.08/0.38 |(op(e3,e0)=e3+% 0.08/0.38 |(op(e3,e0)=e4+% 0.08/0.38 |op(e3,e0)=e5))))+% 0.08/0.38 |op(e3,e0)=e0), inference(literals_permutation, [status(thm)], [c_0_94])).+% 0.08/0.38 cnf(c_0_94_5, axiom, (op(e3,e0)=e0+% 0.08/0.38 |(op(e3,e0)=e1+% 0.08/0.38 |(op(e3,e0)=e2+% 0.08/0.38 |(op(e3,e0)=e3+% 0.08/0.38 |(op(e3,e0)=e4+% 0.08/0.38 |op(e3,e0)=e5))))), inference(literals_permutation, [status(thm)], [c_0_94])).+% 0.08/0.38 cnf(c_0_95_0, axiom, (op(e3,e1)=e5+% 0.08/0.38 |(op(e3,e1)=e4+% 0.08/0.38 |(op(e3,e1)=e3+% 0.08/0.38 |(op(e3,e1)=e2+% 0.08/0.38 |(op(e3,e1)=e1+% 0.08/0.38 |op(e3,e1)=e0))))), inference(literals_permutation, [status(thm)], [c_0_95])).+% 0.08/0.38 cnf(c_0_95_1, axiom, ((op(e3,e1)=e4+% 0.08/0.38 |op(e3,e1)=e5)+% 0.08/0.38 |(op(e3,e1)=e3+% 0.08/0.38 |(op(e3,e1)=e2+% 0.08/0.38 |(op(e3,e1)=e1+% 0.08/0.38 |op(e3,e1)=e0)))), inference(literals_permutation, [status(thm)], [c_0_95])).+% 0.08/0.38 cnf(c_0_95_2, axiom, ((op(e3,e1)=e3+% 0.08/0.38 |(op(e3,e1)=e4+% 0.08/0.38 |op(e3,e1)=e5))+% 0.08/0.38 |(op(e3,e1)=e2+% 0.08/0.38 |(op(e3,e1)=e1+% 0.08/0.38 |op(e3,e1)=e0))), inference(literals_permutation, [status(thm)], [c_0_95])).+% 0.08/0.38 cnf(c_0_95_3, axiom, ((op(e3,e1)=e2+% 0.08/0.38 |(op(e3,e1)=e3+% 0.08/0.38 |(op(e3,e1)=e4+% 0.08/0.38 |op(e3,e1)=e5)))+% 0.08/0.38 |(op(e3,e1)=e1+% 0.08/0.38 |op(e3,e1)=e0)), inference(literals_permutation, [status(thm)], [c_0_95])).+% 0.08/0.38 cnf(c_0_95_4, axiom, ((op(e3,e1)=e1+% 0.08/0.38 |(op(e3,e1)=e2+% 0.08/0.38 |(op(e3,e1)=e3+% 0.08/0.38 |(op(e3,e1)=e4+% 0.08/0.38 |op(e3,e1)=e5))))+% 0.08/0.38 |op(e3,e1)=e0), inference(literals_permutation, [status(thm)], [c_0_95])).+% 0.08/0.38 cnf(c_0_95_5, axiom, (op(e3,e1)=e0+% 0.08/0.38 |(op(e3,e1)=e1+% 0.08/0.38 |(op(e3,e1)=e2+% 0.08/0.38 |(op(e3,e1)=e3+% 0.08/0.38 |(op(e3,e1)=e4+% 0.08/0.38 |op(e3,e1)=e5))))), inference(literals_permutation, [status(thm)], [c_0_95])).+% 0.08/0.38 cnf(c_0_96_0, axiom, (op(e3,e2)=e5+% 0.08/0.38 |(op(e3,e2)=e4+% 0.08/0.38 |(op(e3,e2)=e3+% 0.08/0.38 |(op(e3,e2)=e2+% 0.08/0.38 |(op(e3,e2)=e1+% 0.08/0.38 |op(e3,e2)=e0))))), inference(literals_permutation, [status(thm)], [c_0_96])).+% 0.08/0.38 cnf(c_0_96_1, axiom, ((op(e3,e2)=e4+% 0.08/0.38 |op(e3,e2)=e5)+% 0.08/0.38 |(op(e3,e2)=e3+% 0.08/0.38 |(op(e3,e2)=e2+% 0.08/0.38 |(op(e3,e2)=e1+% 0.08/0.38 |op(e3,e2)=e0)))), inference(literals_permutation, [status(thm)], [c_0_96])).+% 0.08/0.38 cnf(c_0_96_2, axiom, ((op(e3,e2)=e3+% 0.08/0.38 |(op(e3,e2)=e4+% 0.08/0.38 |op(e3,e2)=e5))+% 0.08/0.38 |(op(e3,e2)=e2+% 0.08/0.38 |(op(e3,e2)=e1+% 0.08/0.38 |op(e3,e2)=e0))), inference(literals_permutation, [status(thm)], [c_0_96])).+% 0.08/0.38 cnf(c_0_96_3, axiom, ((op(e3,e2)=e2+% 0.08/0.38 |(op(e3,e2)=e3+% 0.08/0.38 |(op(e3,e2)=e4+% 0.08/0.38 |op(e3,e2)=e5)))+% 0.08/0.38 |(op(e3,e2)=e1+% 0.08/0.38 |op(e3,e2)=e0)), inference(literals_permutation, [status(thm)], [c_0_96])).+% 0.08/0.38 cnf(c_0_96_4, axiom, ((op(e3,e2)=e1+% 0.08/0.38 |(op(e3,e2)=e2+% 0.08/0.38 |(op(e3,e2)=e3+% 0.08/0.38 |(op(e3,e2)=e4+% 0.08/0.38 |op(e3,e2)=e5))))+% 0.08/0.38 |op(e3,e2)=e0), inference(literals_permutation, [status(thm)], [c_0_96])).+% 0.08/0.38 cnf(c_0_96_5, axiom, (op(e3,e2)=e0+% 0.08/0.38 |(op(e3,e2)=e1+% 0.08/0.38 |(op(e3,e2)=e2+% 0.08/0.38 |(op(e3,e2)=e3+% 0.08/0.38 |(op(e3,e2)=e4+% 0.08/0.38 |op(e3,e2)=e5))))), inference(literals_permutation, [status(thm)], [c_0_96])).+% 0.08/0.38 cnf(c_0_97_0, axiom, (op(e3,e3)=e5+% 0.08/0.38 |(op(e3,e3)=e4+% 0.08/0.38 |(op(e3,e3)=e3+% 0.08/0.38 |(op(e3,e3)=e2+% 0.08/0.38 |(op(e3,e3)=e1+% 0.08/0.38 |op(e3,e3)=e0))))), inference(literals_permutation, [status(thm)], [c_0_97])).+% 0.08/0.38 cnf(c_0_97_1, axiom, ((op(e3,e3)=e4+% 0.08/0.38 |op(e3,e3)=e5)+% 0.08/0.38 |(op(e3,e3)=e3+% 0.08/0.38 |(op(e3,e3)=e2+% 0.08/0.38 |(op(e3,e3)=e1+% 0.08/0.38 |op(e3,e3)=e0)))), inference(literals_permutation, [status(thm)], [c_0_97])).+% 0.08/0.38 cnf(c_0_97_2, axiom, ((op(e3,e3)=e3+% 0.08/0.38 |(op(e3,e3)=e4+% 0.08/0.38 |op(e3,e3)=e5))+% 0.08/0.38 |(op(e3,e3)=e2+% 0.08/0.38 |(op(e3,e3)=e1+% 0.08/0.38 |op(e3,e3)=e0))), inference(literals_permutation, [status(thm)], [c_0_97])).+% 0.08/0.38 cnf(c_0_97_3, axiom, ((op(e3,e3)=e2+% 0.08/0.38 |(op(e3,e3)=e3+% 0.08/0.38 |(op(e3,e3)=e4+% 0.08/0.38 |op(e3,e3)=e5)))+% 0.08/0.38 |(op(e3,e3)=e1+% 0.08/0.38 |op(e3,e3)=e0)), inference(literals_permutation, [status(thm)], [c_0_97])).+% 0.08/0.38 cnf(c_0_97_4, axiom, ((op(e3,e3)=e1+% 0.08/0.38 |(op(e3,e3)=e2+% 0.08/0.38 |(op(e3,e3)=e3+% 0.08/0.38 |(op(e3,e3)=e4+% 0.08/0.38 |op(e3,e3)=e5))))+% 0.08/0.38 |op(e3,e3)=e0), inference(literals_permutation, [status(thm)], [c_0_97])).+% 0.08/0.38 cnf(c_0_97_5, axiom, (op(e3,e3)=e0+% 0.08/0.38 |(op(e3,e3)=e1+% 0.08/0.38 |(op(e3,e3)=e2+% 0.08/0.38 |(op(e3,e3)=e3+% 0.08/0.38 |(op(e3,e3)=e4+% 0.08/0.38 |op(e3,e3)=e5))))), inference(literals_permutation, [status(thm)], [c_0_97])).+% 0.08/0.38 cnf(c_0_98_0, axiom, (op(e3,e4)=e5+% 0.08/0.38 |(op(e3,e4)=e4+% 0.08/0.38 |(op(e3,e4)=e3+% 0.08/0.38 |(op(e3,e4)=e2+% 0.08/0.38 |(op(e3,e4)=e1+% 0.08/0.38 |op(e3,e4)=e0))))), inference(literals_permutation, [status(thm)], [c_0_98])).+% 0.08/0.38 cnf(c_0_98_1, axiom, ((op(e3,e4)=e4+% 0.08/0.38 |op(e3,e4)=e5)+% 0.08/0.38 |(op(e3,e4)=e3+% 0.08/0.38 |(op(e3,e4)=e2+% 0.08/0.38 |(op(e3,e4)=e1+% 0.08/0.38 |op(e3,e4)=e0)))), inference(literals_permutation, [status(thm)], [c_0_98])).+% 0.08/0.38 cnf(c_0_98_2, axiom, ((op(e3,e4)=e3+% 0.08/0.38 |(op(e3,e4)=e4+% 0.08/0.38 |op(e3,e4)=e5))+% 0.08/0.38 |(op(e3,e4)=e2+% 0.08/0.38 |(op(e3,e4)=e1+% 0.08/0.38 |op(e3,e4)=e0))), inference(literals_permutation, [status(thm)], [c_0_98])).+% 0.08/0.38 cnf(c_0_98_3, axiom, ((op(e3,e4)=e2+% 0.08/0.38 |(op(e3,e4)=e3+% 0.08/0.38 |(op(e3,e4)=e4+% 0.08/0.38 |op(e3,e4)=e5)))+% 0.08/0.38 |(op(e3,e4)=e1+% 0.08/0.38 |op(e3,e4)=e0)), inference(literals_permutation, [status(thm)], [c_0_98])).+% 0.08/0.38 cnf(c_0_98_4, axiom, ((op(e3,e4)=e1+% 0.08/0.38 |(op(e3,e4)=e2+% 0.08/0.38 |(op(e3,e4)=e3+% 0.08/0.38 |(op(e3,e4)=e4+% 0.08/0.38 |op(e3,e4)=e5))))+% 0.08/0.38 |op(e3,e4)=e0), inference(literals_permutation, [status(thm)], [c_0_98])).+% 0.08/0.38 cnf(c_0_98_5, axiom, (op(e3,e4)=e0+% 0.08/0.38 |(op(e3,e4)=e1+% 0.08/0.38 |(op(e3,e4)=e2+% 0.08/0.38 |(op(e3,e4)=e3+% 0.08/0.38 |(op(e3,e4)=e4+% 0.08/0.38 |op(e3,e4)=e5))))), inference(literals_permutation, [status(thm)], [c_0_98])).+% 0.08/0.38 cnf(c_0_99_0, axiom, (op(e3,e5)=e5+% 0.08/0.38 |(op(e3,e5)=e4+% 0.08/0.38 |(op(e3,e5)=e3+% 0.08/0.38 |(op(e3,e5)=e2+% 0.08/0.38 |(op(e3,e5)=e1+% 0.08/0.38 |op(e3,e5)=e0))))), inference(literals_permutation, [status(thm)], [c_0_99])).+% 0.08/0.38 cnf(c_0_99_1, axiom, ((op(e3,e5)=e4+% 0.08/0.38 |op(e3,e5)=e5)+% 0.08/0.38 |(op(e3,e5)=e3+% 0.08/0.38 |(op(e3,e5)=e2+% 0.08/0.38 |(op(e3,e5)=e1+% 0.08/0.38 |op(e3,e5)=e0)))), inference(literals_permutation, [status(thm)], [c_0_99])).+% 0.08/0.38 cnf(c_0_99_2, axiom, ((op(e3,e5)=e3+% 0.08/0.38 |(op(e3,e5)=e4+% 0.08/0.38 |op(e3,e5)=e5))+% 0.08/0.38 |(op(e3,e5)=e2+% 0.08/0.38 |(op(e3,e5)=e1+% 0.08/0.38 |op(e3,e5)=e0))), inference(literals_permutation, [status(thm)], [c_0_99])).+% 0.08/0.38 cnf(c_0_99_3, axiom, ((op(e3,e5)=e2+% 0.08/0.38 |(op(e3,e5)=e3+% 0.08/0.38 |(op(e3,e5)=e4+% 0.08/0.38 |op(e3,e5)=e5)))+% 0.08/0.38 |(op(e3,e5)=e1+% 0.08/0.38 |op(e3,e5)=e0)), inference(literals_permutation, [status(thm)], [c_0_99])).+% 0.08/0.38 cnf(c_0_99_4, axiom, ((op(e3,e5)=e1+% 0.08/0.38 |(op(e3,e5)=e2+% 0.08/0.38 |(op(e3,e5)=e3+% 0.08/0.38 |(op(e3,e5)=e4+% 0.08/0.38 |op(e3,e5)=e5))))+% 0.08/0.38 |op(e3,e5)=e0), inference(literals_permutation, [status(thm)], [c_0_99])).+% 0.08/0.38 cnf(c_0_99_5, axiom, (op(e3,e5)=e0+% 0.08/0.38 |(op(e3,e5)=e1+% 0.08/0.38 |(op(e3,e5)=e2+% 0.08/0.38 |(op(e3,e5)=e3+% 0.08/0.38 |(op(e3,e5)=e4+% 0.08/0.38 |op(e3,e5)=e5))))), inference(literals_permutation, [status(thm)], [c_0_99])).+% 0.08/0.38 cnf(c_0_100_0, axiom, (op(e4,e0)=e5+% 0.08/0.38 |(op(e4,e0)=e4+% 0.08/0.38 |(op(e4,e0)=e3+% 0.08/0.38 |(op(e4,e0)=e2+% 0.08/0.38 |(op(e4,e0)=e1+% 0.08/0.38 |op(e4,e0)=e0))))), inference(literals_permutation, [status(thm)], [c_0_100])).+% 0.08/0.38 cnf(c_0_100_1, axiom, ((op(e4,e0)=e4+% 0.08/0.38 |op(e4,e0)=e5)+% 0.08/0.38 |(op(e4,e0)=e3+% 0.08/0.38 |(op(e4,e0)=e2+% 0.08/0.38 |(op(e4,e0)=e1+% 0.08/0.38 |op(e4,e0)=e0)))), inference(literals_permutation, [status(thm)], [c_0_100])).+% 0.08/0.38 cnf(c_0_100_2, axiom, ((op(e4,e0)=e3+% 0.08/0.38 |(op(e4,e0)=e4+% 0.08/0.38 |op(e4,e0)=e5))+% 0.08/0.38 |(op(e4,e0)=e2+% 0.08/0.38 |(op(e4,e0)=e1+% 0.08/0.38 |op(e4,e0)=e0))), inference(literals_permutation, [status(thm)], [c_0_100])).+% 0.08/0.38 cnf(c_0_100_3, axiom, ((op(e4,e0)=e2+% 0.08/0.38 |(op(e4,e0)=e3+% 0.08/0.38 |(op(e4,e0)=e4+% 0.08/0.38 |op(e4,e0)=e5)))+% 0.08/0.38 |(op(e4,e0)=e1+% 0.08/0.38 |op(e4,e0)=e0)), inference(literals_permutation, [status(thm)], [c_0_100])).+% 0.08/0.38 cnf(c_0_100_4, axiom, ((op(e4,e0)=e1+% 0.08/0.38 |(op(e4,e0)=e2+% 0.08/0.38 |(op(e4,e0)=e3+% 0.08/0.38 |(op(e4,e0)=e4+% 0.08/0.38 |op(e4,e0)=e5))))+% 0.08/0.38 |op(e4,e0)=e0), inference(literals_permutation, [status(thm)], [c_0_100])).+% 0.08/0.38 cnf(c_0_100_5, axiom, (op(e4,e0)=e0+% 0.08/0.38 |(op(e4,e0)=e1+% 0.08/0.38 |(op(e4,e0)=e2+% 0.08/0.38 |(op(e4,e0)=e3+% 0.08/0.38 |(op(e4,e0)=e4+% 0.08/0.38 |op(e4,e0)=e5))))), inference(literals_permutation, [status(thm)], [c_0_100])).+% 0.08/0.38 cnf(c_0_101_0, axiom, (op(e4,e1)=e5+% 0.08/0.38 |(op(e4,e1)=e4+% 0.08/0.38 |(op(e4,e1)=e3+% 0.08/0.38 |(op(e4,e1)=e2+% 0.08/0.38 |(op(e4,e1)=e1+% 0.08/0.38 |op(e4,e1)=e0))))), inference(literals_permutation, [status(thm)], [c_0_101])).+% 0.08/0.38 cnf(c_0_101_1, axiom, ((op(e4,e1)=e4+% 0.08/0.38 |op(e4,e1)=e5)+% 0.08/0.38 |(op(e4,e1)=e3+% 0.08/0.38 |(op(e4,e1)=e2+% 0.08/0.38 |(op(e4,e1)=e1+% 0.08/0.38 |op(e4,e1)=e0)))), inference(literals_permutation, [status(thm)], [c_0_101])).+% 0.08/0.38 cnf(c_0_101_2, axiom, ((op(e4,e1)=e3+% 0.08/0.38 |(op(e4,e1)=e4+% 0.08/0.38 |op(e4,e1)=e5))+% 0.08/0.38 |(op(e4,e1)=e2+% 0.08/0.38 |(op(e4,e1)=e1+% 0.08/0.38 |op(e4,e1)=e0))), inference(literals_permutation, [status(thm)], [c_0_101])).+% 0.08/0.38 cnf(c_0_101_3, axiom, ((op(e4,e1)=e2+% 0.08/0.38 |(op(e4,e1)=e3+% 0.08/0.38 |(op(e4,e1)=e4+% 0.08/0.38 |op(e4,e1)=e5)))+% 0.08/0.38 |(op(e4,e1)=e1+% 0.08/0.38 |op(e4,e1)=e0)), inference(literals_permutation, [status(thm)], [c_0_101])).+% 0.08/0.38 cnf(c_0_101_4, axiom, ((op(e4,e1)=e1+% 0.08/0.38 |(op(e4,e1)=e2+% 0.08/0.38 |(op(e4,e1)=e3+% 0.08/0.38 |(op(e4,e1)=e4+% 0.08/0.38 |op(e4,e1)=e5))))+% 0.08/0.38 |op(e4,e1)=e0), inference(literals_permutation, [status(thm)], [c_0_101])).+% 0.08/0.38 cnf(c_0_101_5, axiom, (op(e4,e1)=e0+% 0.08/0.38 |(op(e4,e1)=e1+% 0.08/0.38 |(op(e4,e1)=e2+% 0.08/0.38 |(op(e4,e1)=e3+% 0.08/0.38 |(op(e4,e1)=e4+% 0.08/0.38 |op(e4,e1)=e5))))), inference(literals_permutation, [status(thm)], [c_0_101])).+% 0.08/0.38 cnf(c_0_102_0, axiom, (op(e4,e2)=e5+% 0.08/0.38 |(op(e4,e2)=e4+% 0.08/0.38 |(op(e4,e2)=e3+% 0.08/0.38 |(op(e4,e2)=e2+% 0.08/0.38 |(op(e4,e2)=e1+% 0.08/0.38 |op(e4,e2)=e0))))), inference(literals_permutation, [status(thm)], [c_0_102])).+% 0.08/0.38 cnf(c_0_102_1, axiom, ((op(e4,e2)=e4+% 0.08/0.38 |op(e4,e2)=e5)+% 0.08/0.38 |(op(e4,e2)=e3+% 0.08/0.38 |(op(e4,e2)=e2+% 0.08/0.38 |(op(e4,e2)=e1+% 0.08/0.38 |op(e4,e2)=e0)))), inference(literals_permutation, [status(thm)], [c_0_102])).+% 0.08/0.38 cnf(c_0_102_2, axiom, ((op(e4,e2)=e3+% 0.08/0.38 |(op(e4,e2)=e4+% 0.08/0.38 |op(e4,e2)=e5))+% 0.08/0.38 |(op(e4,e2)=e2+% 0.08/0.38 |(op(e4,e2)=e1+% 0.08/0.38 |op(e4,e2)=e0))), inference(literals_permutation, [status(thm)], [c_0_102])).+% 0.08/0.38 cnf(c_0_102_3, axiom, ((op(e4,e2)=e2+% 0.08/0.38 |(op(e4,e2)=e3+% 0.08/0.38 |(op(e4,e2)=e4+% 0.08/0.38 |op(e4,e2)=e5)))+% 0.08/0.38 |(op(e4,e2)=e1+% 0.08/0.38 |op(e4,e2)=e0)), inference(literals_permutation, [status(thm)], [c_0_102])).+% 0.08/0.38 cnf(c_0_102_4, axiom, ((op(e4,e2)=e1+% 0.08/0.38 |(op(e4,e2)=e2+% 0.08/0.38 |(op(e4,e2)=e3+% 0.08/0.38 |(op(e4,e2)=e4+% 0.08/0.38 |op(e4,e2)=e5))))+% 0.08/0.38 |op(e4,e2)=e0), inference(literals_permutation, [status(thm)], [c_0_102])).+% 0.08/0.38 cnf(c_0_102_5, axiom, (op(e4,e2)=e0+% 0.08/0.38 |(op(e4,e2)=e1+% 0.08/0.38 |(op(e4,e2)=e2+% 0.08/0.38 |(op(e4,e2)=e3+% 0.08/0.38 |(op(e4,e2)=e4+% 0.08/0.38 |op(e4,e2)=e5))))), inference(literals_permutation, [status(thm)], [c_0_102])).+% 0.08/0.38 cnf(c_0_103_0, axiom, (op(e4,e3)=e5+% 0.08/0.38 |(op(e4,e3)=e4+% 0.08/0.38 |(op(e4,e3)=e3+% 0.08/0.38 |(op(e4,e3)=e2+% 0.08/0.38 |(op(e4,e3)=e1+% 0.08/0.38 |op(e4,e3)=e0))))), inference(literals_permutation, [status(thm)], [c_0_103])).+% 0.08/0.38 cnf(c_0_103_1, axiom, ((op(e4,e3)=e4+% 0.08/0.38 |op(e4,e3)=e5)+% 0.08/0.38 |(op(e4,e3)=e3+% 0.08/0.38 |(op(e4,e3)=e2+% 0.08/0.38 |(op(e4,e3)=e1+% 0.08/0.38 |op(e4,e3)=e0)))), inference(literals_permutation, [status(thm)], [c_0_103])).+% 0.08/0.38 cnf(c_0_103_2, axiom, ((op(e4,e3)=e3+% 0.08/0.38 |(op(e4,e3)=e4+% 0.08/0.38 |op(e4,e3)=e5))+% 0.08/0.38 |(op(e4,e3)=e2+% 0.08/0.38 |(op(e4,e3)=e1+% 0.08/0.38 |op(e4,e3)=e0))), inference(literals_permutation, [status(thm)], [c_0_103])).+% 0.08/0.38 cnf(c_0_103_3, axiom, ((op(e4,e3)=e2+% 0.08/0.38 |(op(e4,e3)=e3+% 0.08/0.38 |(op(e4,e3)=e4+% 0.08/0.38 |op(e4,e3)=e5)))+% 0.08/0.38 |(op(e4,e3)=e1+% 0.08/0.38 |op(e4,e3)=e0)), inference(literals_permutation, [status(thm)], [c_0_103])).+% 0.08/0.38 cnf(c_0_103_4, axiom, ((op(e4,e3)=e1+% 0.08/0.38 |(op(e4,e3)=e2+% 0.08/0.38 |(op(e4,e3)=e3+% 0.08/0.38 |(op(e4,e3)=e4+% 0.08/0.38 |op(e4,e3)=e5))))+% 0.08/0.38 |op(e4,e3)=e0), inference(literals_permutation, [status(thm)], [c_0_103])).+% 0.08/0.38 cnf(c_0_103_5, axiom, (op(e4,e3)=e0+% 0.08/0.38 |(op(e4,e3)=e1+% 0.08/0.38 |(op(e4,e3)=e2+% 0.08/0.38 |(op(e4,e3)=e3+% 0.08/0.38 |(op(e4,e3)=e4+% 0.08/0.38 |op(e4,e3)=e5))))), inference(literals_permutation, [status(thm)], [c_0_103])).+% 0.08/0.38 cnf(c_0_104_0, axiom, (op(e4,e4)=e5+% 0.08/0.38 |(op(e4,e4)=e4+% 0.08/0.38 |(op(e4,e4)=e3+% 0.08/0.38 |(op(e4,e4)=e2+% 0.08/0.38 |(op(e4,e4)=e1+% 0.08/0.38 |op(e4,e4)=e0))))), inference(literals_permutation, [status(thm)], [c_0_104])).+% 0.08/0.38 cnf(c_0_104_1, axiom, ((op(e4,e4)=e4+% 0.08/0.38 |op(e4,e4)=e5)+% 0.08/0.38 |(op(e4,e4)=e3+% 0.08/0.38 |(op(e4,e4)=e2+% 0.08/0.38 |(op(e4,e4)=e1+% 0.08/0.38 |op(e4,e4)=e0)))), inference(literals_permutation, [status(thm)], [c_0_104])).+% 0.08/0.38 cnf(c_0_104_2, axiom, ((op(e4,e4)=e3+% 0.08/0.38 |(op(e4,e4)=e4+% 0.08/0.38 |op(e4,e4)=e5))+% 0.08/0.38 |(op(e4,e4)=e2+% 0.08/0.38 |(op(e4,e4)=e1+% 0.08/0.38 |op(e4,e4)=e0))), inference(literals_permutation, [status(thm)], [c_0_104])).+% 0.08/0.38 cnf(c_0_104_3, axiom, ((op(e4,e4)=e2+% 0.08/0.38 |(op(e4,e4)=e3+% 0.08/0.38 |(op(e4,e4)=e4+% 0.08/0.38 |op(e4,e4)=e5)))+% 0.08/0.38 |(op(e4,e4)=e1+% 0.08/0.38 |op(e4,e4)=e0)), inference(literals_permutation, [status(thm)], [c_0_104])).+% 0.08/0.38 cnf(c_0_104_4, axiom, ((op(e4,e4)=e1+% 0.08/0.38 |(op(e4,e4)=e2+% 0.08/0.38 |(op(e4,e4)=e3+% 0.08/0.38 |(op(e4,e4)=e4+% 0.08/0.38 |op(e4,e4)=e5))))+% 0.08/0.38 |op(e4,e4)=e0), inference(literals_permutation, [status(thm)], [c_0_104])).+% 0.08/0.38 cnf(c_0_104_5, axiom, (op(e4,e4)=e0+% 0.08/0.38 |(op(e4,e4)=e1+% 0.08/0.38 |(op(e4,e4)=e2+% 0.08/0.38 |(op(e4,e4)=e3+% 0.08/0.38 |(op(e4,e4)=e4+% 0.08/0.38 |op(e4,e4)=e5))))), inference(literals_permutation, [status(thm)], [c_0_104])).+% 0.08/0.38 cnf(c_0_105_0, axiom, (op(e4,e5)=e5+% 0.08/0.38 |(op(e4,e5)=e4+% 0.08/0.38 |(op(e4,e5)=e3+% 0.08/0.38 |(op(e4,e5)=e2+% 0.08/0.38 |(op(e4,e5)=e1+% 0.08/0.38 |op(e4,e5)=e0))))), inference(literals_permutation, [status(thm)], [c_0_105])).+% 0.08/0.38 cnf(c_0_105_1, axiom, ((op(e4,e5)=e4+% 0.08/0.38 |op(e4,e5)=e5)+% 0.08/0.38 |(op(e4,e5)=e3+% 0.08/0.38 |(op(e4,e5)=e2+% 0.08/0.38 |(op(e4,e5)=e1+% 0.08/0.38 |op(e4,e5)=e0)))), inference(literals_permutation, [status(thm)], [c_0_105])).+% 0.08/0.38 cnf(c_0_105_2, axiom, ((op(e4,e5)=e3+% 0.08/0.38 |(op(e4,e5)=e4+% 0.08/0.38 |op(e4,e5)=e5))+% 0.08/0.38 |(op(e4,e5)=e2+% 0.08/0.38 |(op(e4,e5)=e1+% 0.08/0.38 |op(e4,e5)=e0))), inference(literals_permutation, [status(thm)], [c_0_105])).+% 0.08/0.38 cnf(c_0_105_3, axiom, ((op(e4,e5)=e2+% 0.08/0.38 |(op(e4,e5)=e3+% 0.08/0.38 |(op(e4,e5)=e4+% 0.08/0.38 |op(e4,e5)=e5)))+% 0.08/0.38 |(op(e4,e5)=e1+% 0.08/0.38 |op(e4,e5)=e0)), inference(literals_permutation, [status(thm)], [c_0_105])).+% 0.08/0.38 cnf(c_0_105_4, axiom, ((op(e4,e5)=e1+% 0.08/0.38 |(op(e4,e5)=e2+% 0.08/0.38 |(op(e4,e5)=e3+% 0.08/0.38 |(op(e4,e5)=e4+% 0.08/0.38 |op(e4,e5)=e5))))+% 0.08/0.38 |op(e4,e5)=e0), inference(literals_permutation, [status(thm)], [c_0_105])).+% 0.08/0.38 cnf(c_0_105_5, axiom, (op(e4,e5)=e0+% 0.08/0.38 |(op(e4,e5)=e1+% 0.08/0.38 |(op(e4,e5)=e2+% 0.08/0.38 |(op(e4,e5)=e3+% 0.08/0.38 |(op(e4,e5)=e4+% 0.08/0.38 |op(e4,e5)=e5))))), inference(literals_permutation, [status(thm)], [c_0_105])).+% 0.08/0.38 cnf(c_0_106_0, axiom, (op(e5,e0)=e5+% 0.08/0.38 |(op(e5,e0)=e4+% 0.08/0.38 |(op(e5,e0)=e3+% 0.08/0.38 |(op(e5,e0)=e2+% 0.08/0.38 |(op(e5,e0)=e1+% 0.08/0.38 |op(e5,e0)=e0))))), inference(literals_permutation, [status(thm)], [c_0_106])).+% 0.08/0.38 cnf(c_0_106_1, axiom, ((op(e5,e0)=e4+% 0.08/0.38 |op(e5,e0)=e5)+% 0.08/0.38 |(op(e5,e0)=e3+% 0.08/0.38 |(op(e5,e0)=e2+% 0.08/0.38 |(op(e5,e0)=e1+% 0.08/0.38 |op(e5,e0)=e0)))), inference(literals_permutation, [status(thm)], [c_0_106])).+% 0.08/0.38 cnf(c_0_106_2, axiom, ((op(e5,e0)=e3+% 0.08/0.38 |(op(e5,e0)=e4+% 0.08/0.38 |op(e5,e0)=e5))+% 0.08/0.38 |(op(e5,e0)=e2+% 0.08/0.38 |(op(e5,e0)=e1+% 0.08/0.38 |op(e5,e0)=e0))), inference(literals_permutation, [status(thm)], [c_0_106])).+% 0.08/0.38 cnf(c_0_106_3, axiom, ((op(e5,e0)=e2+% 0.08/0.38 |(op(e5,e0)=e3+% 0.08/0.38 |(op(e5,e0)=e4+% 0.08/0.38 |op(e5,e0)=e5)))+% 0.08/0.38 |(op(e5,e0)=e1+% 0.08/0.38 |op(e5,e0)=e0)), inference(literals_permutation, [status(thm)], [c_0_106])).+% 0.08/0.38 cnf(c_0_106_4, axiom, ((op(e5,e0)=e1+% 0.08/0.38 |(op(e5,e0)=e2+% 0.08/0.38 |(op(e5,e0)=e3+% 0.08/0.38 |(op(e5,e0)=e4+% 0.08/0.38 |op(e5,e0)=e5))))+% 0.08/0.38 |op(e5,e0)=e0), inference(literals_permutation, [status(thm)], [c_0_106])).+% 0.08/0.38 cnf(c_0_106_5, axiom, (op(e5,e0)=e0+% 0.08/0.38 |(op(e5,e0)=e1+% 0.08/0.38 |(op(e5,e0)=e2+% 0.08/0.38 |(op(e5,e0)=e3+% 0.08/0.38 |(op(e5,e0)=e4+% 0.08/0.38 |op(e5,e0)=e5))))), inference(literals_permutation, [status(thm)], [c_0_106])).+% 0.08/0.38 cnf(c_0_107_0, axiom, (op(e5,e1)=e5+% 0.08/0.38 |(op(e5,e1)=e4+% 0.08/0.38 |(op(e5,e1)=e3+% 0.08/0.38 |(op(e5,e1)=e2+% 0.08/0.38 |(op(e5,e1)=e1+% 0.08/0.38 |op(e5,e1)=e0))))), inference(literals_permutation, [status(thm)], [c_0_107])).+% 0.08/0.38 cnf(c_0_107_1, axiom, ((op(e5,e1)=e4+% 0.08/0.38 |op(e5,e1)=e5)+% 0.08/0.38 |(op(e5,e1)=e3+% 0.08/0.38 |(op(e5,e1)=e2+% 0.08/0.38 |(op(e5,e1)=e1+% 0.08/0.38 |op(e5,e1)=e0)))), inference(literals_permutation, [status(thm)], [c_0_107])).+% 0.08/0.38 cnf(c_0_107_2, axiom, ((op(e5,e1)=e3+% 0.08/0.38 |(op(e5,e1)=e4+% 0.08/0.38 |op(e5,e1)=e5))+% 0.08/0.38 |(op(e5,e1)=e2+% 0.08/0.38 |(op(e5,e1)=e1+% 0.08/0.38 |op(e5,e1)=e0))), inference(literals_permutation, [status(thm)], [c_0_107])).+% 0.08/0.38 cnf(c_0_107_3, axiom, ((op(e5,e1)=e2+% 0.08/0.38 |(op(e5,e1)=e3+% 0.08/0.38 |(op(e5,e1)=e4+% 0.08/0.38 |op(e5,e1)=e5)))+% 0.08/0.38 |(op(e5,e1)=e1+% 0.08/0.38 |op(e5,e1)=e0)), inference(literals_permutation, [status(thm)], [c_0_107])).+% 0.08/0.38 cnf(c_0_107_4, axiom, ((op(e5,e1)=e1+% 0.08/0.38 |(op(e5,e1)=e2+% 0.08/0.38 |(op(e5,e1)=e3+% 0.08/0.38 |(op(e5,e1)=e4+% 0.08/0.38 |op(e5,e1)=e5))))+% 0.08/0.38 |op(e5,e1)=e0), inference(literals_permutation, [status(thm)], [c_0_107])).+% 0.08/0.38 cnf(c_0_107_5, axiom, (op(e5,e1)=e0+% 0.08/0.38 |(op(e5,e1)=e1+% 0.08/0.38 |(op(e5,e1)=e2+% 0.08/0.38 |(op(e5,e1)=e3+% 0.08/0.38 |(op(e5,e1)=e4+% 0.08/0.38 |op(e5,e1)=e5))))), inference(literals_permutation, [status(thm)], [c_0_107])).+% 0.08/0.38 cnf(c_0_108_0, axiom, (op(e5,e2)=e5+% 0.08/0.38 |(op(e5,e2)=e4+% 0.08/0.38 |(op(e5,e2)=e3+% 0.08/0.38 |(op(e5,e2)=e2+% 0.08/0.38 |(op(e5,e2)=e1+% 0.08/0.38 |op(e5,e2)=e0))))), inference(literals_permutation, [status(thm)], [c_0_108])).+% 0.08/0.38 cnf(c_0_108_1, axiom, ((op(e5,e2)=e4+% 0.08/0.38 |op(e5,e2)=e5)+% 0.08/0.38 |(op(e5,e2)=e3+% 0.08/0.38 |(op(e5,e2)=e2+% 0.08/0.38 |(op(e5,e2)=e1+% 0.08/0.38 |op(e5,e2)=e0)))), inference(literals_permutation, [status(thm)], [c_0_108])).+% 0.08/0.38 cnf(c_0_108_2, axiom, ((op(e5,e2)=e3+% 0.08/0.38 |(op(e5,e2)=e4+% 0.08/0.38 |op(e5,e2)=e5))+% 0.08/0.38 |(op(e5,e2)=e2+% 0.08/0.38 |(op(e5,e2)=e1+% 0.08/0.38 |op(e5,e2)=e0))), inference(literals_permutation, [status(thm)], [c_0_108])).+% 0.08/0.38 cnf(c_0_108_3, axiom, ((op(e5,e2)=e2+% 0.08/0.38 |(op(e5,e2)=e3+% 0.08/0.38 |(op(e5,e2)=e4+% 0.08/0.38 |op(e5,e2)=e5)))+% 0.08/0.38 |(op(e5,e2)=e1+% 0.08/0.38 |op(e5,e2)=e0)), inference(literals_permutation, [status(thm)], [c_0_108])).+% 0.08/0.38 cnf(c_0_108_4, axiom, ((op(e5,e2)=e1+% 0.08/0.38 |(op(e5,e2)=e2+% 0.08/0.38 |(op(e5,e2)=e3+% 0.08/0.38 |(op(e5,e2)=e4+% 0.08/0.38 |op(e5,e2)=e5))))+% 0.08/0.38 |op(e5,e2)=e0), inference(literals_permutation, [status(thm)], [c_0_108])).+% 0.08/0.38 cnf(c_0_108_5, axiom, (op(e5,e2)=e0+% 0.08/0.38 |(op(e5,e2)=e1+% 0.08/0.38 |(op(e5,e2)=e2+% 0.08/0.38 |(op(e5,e2)=e3+% 0.08/0.38 |(op(e5,e2)=e4+% 0.08/0.38 |op(e5,e2)=e5))))), inference(literals_permutation, [status(thm)], [c_0_108])).+% 0.08/0.38 cnf(c_0_109_0, axiom, (op(e5,e3)=e5+% 0.08/0.38 |(op(e5,e3)=e4+% 0.08/0.38 |(op(e5,e3)=e3+% 0.08/0.38 |(op(e5,e3)=e2+% 0.08/0.38 |(op(e5,e3)=e1+% 0.08/0.38 |op(e5,e3)=e0))))), inference(literals_permutation, [status(thm)], [c_0_109])).+% 0.08/0.38 cnf(c_0_109_1, axiom, ((op(e5,e3)=e4+% 0.08/0.38 |op(e5,e3)=e5)+% 0.08/0.38 |(op(e5,e3)=e3+% 0.08/0.38 |(op(e5,e3)=e2+% 0.08/0.38 |(op(e5,e3)=e1+% 0.08/0.38 |op(e5,e3)=e0)))), inference(literals_permutation, [status(thm)], [c_0_109])).+% 0.08/0.38 cnf(c_0_109_2, axiom, ((op(e5,e3)=e3+% 0.08/0.38 |(op(e5,e3)=e4+% 0.08/0.38 |op(e5,e3)=e5))+% 0.08/0.38 |(op(e5,e3)=e2+% 0.08/0.38 |(op(e5,e3)=e1+% 0.08/0.38 |op(e5,e3)=e0))), inference(literals_permutation, [status(thm)], [c_0_109])).+% 0.08/0.38 cnf(c_0_109_3, axiom, ((op(e5,e3)=e2+% 0.08/0.38 |(op(e5,e3)=e3+% 0.08/0.38 |(op(e5,e3)=e4+% 0.08/0.38 |op(e5,e3)=e5)))+% 0.08/0.38 |(op(e5,e3)=e1+% 0.08/0.38 |op(e5,e3)=e0)), inference(literals_permutation, [status(thm)], [c_0_109])).+% 0.08/0.38 cnf(c_0_109_4, axiom, ((op(e5,e3)=e1+% 0.08/0.38 |(op(e5,e3)=e2+% 0.08/0.38 |(op(e5,e3)=e3+% 0.08/0.38 |(op(e5,e3)=e4+% 0.08/0.38 |op(e5,e3)=e5))))+% 0.08/0.38 |op(e5,e3)=e0), inference(literals_permutation, [status(thm)], [c_0_109])).+% 0.08/0.38 cnf(c_0_109_5, axiom, (op(e5,e3)=e0+% 0.08/0.38 |(op(e5,e3)=e1+% 0.08/0.38 |(op(e5,e3)=e2+% 0.08/0.38 |(op(e5,e3)=e3+% 0.08/0.38 |(op(e5,e3)=e4+% 0.08/0.38 |op(e5,e3)=e5))))), inference(literals_permutation, [status(thm)], [c_0_109])).+% 0.08/0.38 cnf(c_0_110_0, axiom, (op(e5,e4)=e5+% 0.08/0.38 |(op(e5,e4)=e4+% 0.08/0.38 |(op(e5,e4)=e3+% 0.08/0.38 |(op(e5,e4)=e2+% 0.08/0.38 |(op(e5,e4)=e1+% 0.08/0.38 |op(e5,e4)=e0))))), inference(literals_permutation, [status(thm)], [c_0_110])).+% 0.08/0.38 cnf(c_0_110_1, axiom, ((op(e5,e4)=e4+% 0.08/0.38 |op(e5,e4)=e5)+% 0.08/0.38 |(op(e5,e4)=e3+% 0.08/0.38 |(op(e5,e4)=e2+% 0.08/0.38 |(op(e5,e4)=e1+% 0.08/0.38 |op(e5,e4)=e0)))), inference(literals_permutation, [status(thm)], [c_0_110])).+% 0.08/0.38 cnf(c_0_110_2, axiom, ((op(e5,e4)=e3+% 0.08/0.38 |(op(e5,e4)=e4+% 0.08/0.38 |op(e5,e4)=e5))+% 0.08/0.38 |(op(e5,e4)=e2+% 0.08/0.38 |(op(e5,e4)=e1+% 0.08/0.38 |op(e5,e4)=e0))), inference(literals_permutation, [status(thm)], [c_0_110])).+% 0.08/0.38 cnf(c_0_110_3, axiom, ((op(e5,e4)=e2+% 0.08/0.38 |(op(e5,e4)=e3+% 0.08/0.38 |(op(e5,e4)=e4+% 0.08/0.38 |op(e5,e4)=e5)))+% 0.08/0.38 |(op(e5,e4)=e1+% 0.08/0.38 |op(e5,e4)=e0)), inference(literals_permutation, [status(thm)], [c_0_110])).+% 0.08/0.38 cnf(c_0_110_4, axiom, ((op(e5,e4)=e1+% 0.08/0.38 |(op(e5,e4)=e2+% 0.08/0.38 |(op(e5,e4)=e3+% 0.08/0.38 |(op(e5,e4)=e4+% 0.08/0.38 |op(e5,e4)=e5))))+% 0.08/0.38 |op(e5,e4)=e0), inference(literals_permutation, [status(thm)], [c_0_110])).+% 0.08/0.38 cnf(c_0_110_5, axiom, (op(e5,e4)=e0+% 0.08/0.38 |(op(e5,e4)=e1+% 0.08/0.38 |(op(e5,e4)=e2+% 0.08/0.38 |(op(e5,e4)=e3+% 0.08/0.38 |(op(e5,e4)=e4+% 0.08/0.38 |op(e5,e4)=e5))))), inference(literals_permutation, [status(thm)], [c_0_110])).+% 0.08/0.38 cnf(c_0_111_0, axiom, (op(e5,e5)=e5+% 0.08/0.38 |(op(e5,e5)=e4+% 0.08/0.38 |(op(e5,e5)=e3+% 0.08/0.38 |(op(e5,e5)=e2+% 0.08/0.38 |(op(e5,e5)=e1+% 0.08/0.38 |op(e5,e5)=e0))))), inference(literals_permutation, [status(thm)], [c_0_111])).+% 0.08/0.38 cnf(c_0_111_1, axiom, ((op(e5,e5)=e4+% 0.08/0.38 |op(e5,e5)=e5)+% 0.08/0.38 |(op(e5,e5)=e3+% 0.08/0.38 |(op(e5,e5)=e2+% 0.08/0.38 |(op(e5,e5)=e1+% 0.08/0.38 |op(e5,e5)=e0)))), inference(literals_permutation, [status(thm)], [c_0_111])).+% 0.08/0.38 cnf(c_0_111_2, axiom, ((op(e5,e5)=e3+% 0.08/0.38 |(op(e5,e5)=e4+% 0.08/0.38 |op(e5,e5)=e5))+% 0.08/0.38 |(op(e5,e5)=e2+% 0.08/0.38 |(op(e5,e5)=e1+% 0.08/0.38 |op(e5,e5)=e0))), inference(literals_permutation, [status(thm)], [c_0_111])).+% 0.08/0.38 cnf(c_0_111_3, axiom, ((op(e5,e5)=e2+% 0.08/0.38 |(op(e5,e5)=e3+% 0.08/0.38 |(op(e5,e5)=e4+% 0.08/0.38 |op(e5,e5)=e5)))+% 0.08/0.38 |(op(e5,e5)=e1+% 0.08/0.38 |op(e5,e5)=e0)), inference(literals_permutation, [status(thm)], [c_0_111])).+% 0.08/0.38 cnf(c_0_111_4, axiom, ((op(e5,e5)=e1+% 0.08/0.38 |(op(e5,e5)=e2+% 0.08/0.38 |(op(e5,e5)=e3+% 0.08/0.38 |(op(e5,e5)=e4+% 0.08/0.38 |op(e5,e5)=e5))))+% 0.08/0.38 |op(e5,e5)=e0), inference(literals_permutation, [status(thm)], [c_0_111])).+% 0.08/0.38 cnf(c_0_111_5, axiom, (op(e5,e5)=e0+% 0.08/0.38 |(op(e5,e5)=e1+% 0.08/0.38 |(op(e5,e5)=e2+% 0.08/0.38 |(op(e5,e5)=e3+% 0.08/0.38 |(op(e5,e5)=e4+% 0.08/0.38 |op(e5,e5)=e5))))), inference(literals_permutation, [status(thm)], [c_0_111])).+% 0.08/0.38 cnf(c_0_112_0, axiom, (inv(e0)=e5+% 0.08/0.38 |(inv(e0)=e4+% 0.08/0.38 |(inv(e0)=e3+% 0.08/0.38 |(inv(e0)=e2+% 0.08/0.38 |(inv(e0)=e1+% 0.08/0.38 |inv(e0)=e0))))), inference(literals_permutation, [status(thm)], [c_0_112])).+% 0.08/0.38 cnf(c_0_112_1, axiom, ((inv(e0)=e4+% 0.08/0.38 |inv(e0)=e5)+% 0.08/0.38 |(inv(e0)=e3+% 0.08/0.38 |(inv(e0)=e2+% 0.08/0.38 |(inv(e0)=e1+% 0.08/0.38 |inv(e0)=e0)))), inference(literals_permutation, [status(thm)], [c_0_112])).+% 0.08/0.38 cnf(c_0_112_2, axiom, ((inv(e0)=e3+% 0.08/0.38 |(inv(e0)=e4+% 0.08/0.38 |inv(e0)=e5))+% 0.08/0.38 |(inv(e0)=e2+% 0.08/0.38 |(inv(e0)=e1+% 0.08/0.38 |inv(e0)=e0))), inference(literals_permutation, [status(thm)], [c_0_112])).+% 0.08/0.38 cnf(c_0_112_3, axiom, ((inv(e0)=e2+% 0.08/0.38 |(inv(e0)=e3+% 0.08/0.38 |(inv(e0)=e4+% 0.08/0.38 |inv(e0)=e5)))+% 0.08/0.38 |(inv(e0)=e1+% 0.08/0.38 |inv(e0)=e0)), inference(literals_permutation, [status(thm)], [c_0_112])).+% 0.08/0.38 cnf(c_0_112_4, axiom, ((inv(e0)=e1+% 0.08/0.38 |(inv(e0)=e2+% 0.08/0.38 |(inv(e0)=e3+% 0.08/0.38 |(inv(e0)=e4+% 0.08/0.38 |inv(e0)=e5))))+% 0.08/0.38 |inv(e0)=e0), inference(literals_permutation, [status(thm)], [c_0_112])).+% 0.08/0.38 cnf(c_0_112_5, axiom, (inv(e0)=e0+% 0.08/0.38 |(inv(e0)=e1+% 0.08/0.38 |(inv(e0)=e2+% 0.08/0.38 |(inv(e0)=e3+% 0.08/0.38 |(inv(e0)=e4+% 0.08/0.38 |inv(e0)=e5))))), inference(literals_permutation, [status(thm)], [c_0_112])).+% 0.08/0.38 cnf(c_0_113_0, axiom, (inv(e1)=e5+% 0.08/0.38 |(inv(e1)=e4+% 0.08/0.38 |(inv(e1)=e3+% 0.08/0.38 |(inv(e1)=e2+% 0.08/0.38 |(inv(e1)=e1+% 0.08/0.38 |inv(e1)=e0))))), inference(literals_permutation, [status(thm)], [c_0_113])).+% 0.08/0.38 cnf(c_0_113_1, axiom, ((inv(e1)=e4+% 0.08/0.38 |inv(e1)=e5)+% 0.08/0.38 |(inv(e1)=e3+% 0.08/0.38 |(inv(e1)=e2+% 0.08/0.38 |(inv(e1)=e1+% 0.08/0.38 |inv(e1)=e0)))), inference(literals_permutation, [status(thm)], [c_0_113])).+% 0.08/0.38 cnf(c_0_113_2, axiom, ((inv(e1)=e3+% 0.08/0.38 |(inv(e1)=e4+% 0.08/0.38 |inv(e1)=e5))+% 0.08/0.38 |(inv(e1)=e2+% 0.08/0.38 |(inv(e1)=e1+% 0.08/0.38 |inv(e1)=e0))), inference(literals_permutation, [status(thm)], [c_0_113])).+% 0.08/0.38 cnf(c_0_113_3, axiom, ((inv(e1)=e2+% 0.08/0.38 |(inv(e1)=e3+% 0.08/0.38 |(inv(e1)=e4+% 0.08/0.38 |inv(e1)=e5)))+% 0.08/0.38 |(inv(e1)=e1+% 0.08/0.38 |inv(e1)=e0)), inference(literals_permutation, [status(thm)], [c_0_113])).+% 0.08/0.38 cnf(c_0_113_4, axiom, ((inv(e1)=e1+% 0.08/0.38 |(inv(e1)=e2+% 0.08/0.38 |(inv(e1)=e3+% 0.08/0.38 |(inv(e1)=e4+% 0.08/0.38 |inv(e1)=e5))))+% 0.08/0.38 |inv(e1)=e0), inference(literals_permutation, [status(thm)], [c_0_113])).+% 0.08/0.38 cnf(c_0_113_5, axiom, (inv(e1)=e0+% 0.08/0.38 |(inv(e1)=e1+% 0.08/0.38 |(inv(e1)=e2+% 0.08/0.38 |(inv(e1)=e3+% 0.08/0.38 |(inv(e1)=e4+% 0.08/0.38 |inv(e1)=e5))))), inference(literals_permutation, [status(thm)], [c_0_113])).+% 0.08/0.38 cnf(c_0_114_0, axiom, (inv(e2)=e5+% 0.08/0.38 |(inv(e2)=e4+% 0.08/0.38 |(inv(e2)=e3+% 0.08/0.38 |(inv(e2)=e2+% 0.08/0.38 |(inv(e2)=e1+% 0.08/0.38 |inv(e2)=e0))))), inference(literals_permutation, [status(thm)], [c_0_114])).+% 0.08/0.38 cnf(c_0_114_1, axiom, ((inv(e2)=e4+% 0.08/0.38 |inv(e2)=e5)+% 0.08/0.38 |(inv(e2)=e3+% 0.08/0.38 |(inv(e2)=e2+% 0.08/0.38 |(inv(e2)=e1+% 0.08/0.38 |inv(e2)=e0)))), inference(literals_permutation, [status(thm)], [c_0_114])).+% 0.08/0.38 cnf(c_0_114_2, axiom, ((inv(e2)=e3+% 0.08/0.38 |(inv(e2)=e4+% 0.08/0.38 |inv(e2)=e5))+% 0.08/0.38 |(inv(e2)=e2+% 0.08/0.38 |(inv(e2)=e1+% 0.08/0.38 |inv(e2)=e0))), inference(literals_permutation, [status(thm)], [c_0_114])).+% 0.08/0.38 cnf(c_0_114_3, axiom, ((inv(e2)=e2+% 0.08/0.38 |(inv(e2)=e3+% 0.08/0.38 |(inv(e2)=e4+% 0.08/0.38 |inv(e2)=e5)))+% 0.08/0.38 |(inv(e2)=e1+% 0.08/0.38 |inv(e2)=e0)), inference(literals_permutation, [status(thm)], [c_0_114])).+% 0.08/0.38 cnf(c_0_114_4, axiom, ((inv(e2)=e1+% 0.08/0.38 |(inv(e2)=e2+% 0.08/0.38 |(inv(e2)=e3+% 0.08/0.38 |(inv(e2)=e4+% 0.08/0.38 |inv(e2)=e5))))+% 0.08/0.38 |inv(e2)=e0), inference(literals_permutation, [status(thm)], [c_0_114])).+% 0.08/0.38 cnf(c_0_114_5, axiom, (inv(e2)=e0+% 0.08/0.38 |(inv(e2)=e1+% 0.08/0.38 |(inv(e2)=e2+% 0.08/0.38 |(inv(e2)=e3+% 0.08/0.38 |(inv(e2)=e4+% 0.08/0.38 |inv(e2)=e5))))), inference(literals_permutation, [status(thm)], [c_0_114])).+% 0.08/0.38 cnf(c_0_115_0, axiom, (inv(e3)=e5+% 0.08/0.38 |(inv(e3)=e4+% 0.08/0.38 |(inv(e3)=e3+% 0.08/0.38 |(inv(e3)=e2+% 0.08/0.38 |(inv(e3)=e1+% 0.08/0.38 |inv(e3)=e0))))), inference(literals_permutation, [status(thm)], [c_0_115])).+% 0.08/0.38 cnf(c_0_115_1, axiom, ((inv(e3)=e4+% 0.08/0.38 |inv(e3)=e5)+% 0.08/0.38 |(inv(e3)=e3+% 0.08/0.38 |(inv(e3)=e2+% 0.08/0.38 |(inv(e3)=e1+% 0.08/0.38 |inv(e3)=e0)))), inference(literals_permutation, [status(thm)], [c_0_115])).+% 0.08/0.38 cnf(c_0_115_2, axiom, ((inv(e3)=e3+% 0.08/0.38 |(inv(e3)=e4+% 0.08/0.38 |inv(e3)=e5))+% 0.08/0.38 |(inv(e3)=e2+% 0.08/0.38 |(inv(e3)=e1+% 0.08/0.38 |inv(e3)=e0))), inference(literals_permutation, [status(thm)], [c_0_115])).+% 0.08/0.38 cnf(c_0_115_3, axiom, ((inv(e3)=e2+% 0.08/0.38 |(inv(e3)=e3+% 0.08/0.38 |(inv(e3)=e4+% 0.08/0.38 |inv(e3)=e5)))+% 0.08/0.38 |(inv(e3)=e1+% 0.08/0.38 |inv(e3)=e0)), inference(literals_permutation, [status(thm)], [c_0_115])).+% 0.08/0.38 cnf(c_0_115_4, axiom, ((inv(e3)=e1+% 0.08/0.38 |(inv(e3)=e2+% 0.08/0.38 |(inv(e3)=e3+% 0.08/0.38 |(inv(e3)=e4+% 0.08/0.38 |inv(e3)=e5))))+% 0.08/0.38 |inv(e3)=e0), inference(literals_permutation, [status(thm)], [c_0_115])).+% 0.08/0.38 cnf(c_0_115_5, axiom, (inv(e3)=e0+% 0.08/0.38 |(inv(e3)=e1+% 0.08/0.38 |(inv(e3)=e2+% 0.08/0.38 |(inv(e3)=e3+% 0.08/0.38 |(inv(e3)=e4+% 0.08/0.38 |inv(e3)=e5))))), inference(literals_permutation, [status(thm)], [c_0_115])).+% 0.08/0.38 cnf(c_0_116_0, axiom, (inv(e4)=e5+% 0.08/0.38 |(inv(e4)=e4+% 0.08/0.38 |(inv(e4)=e3+% 0.08/0.38 |(inv(e4)=e2+% 0.08/0.38 |(inv(e4)=e1+% 0.08/0.38 |inv(e4)=e0))))), inference(literals_permutation, [status(thm)], [c_0_116])).+% 0.08/0.38 cnf(c_0_116_1, axiom, ((inv(e4)=e4+% 0.08/0.38 |inv(e4)=e5)+% 0.08/0.38 |(inv(e4)=e3+% 0.08/0.38 |(inv(e4)=e2+% 0.08/0.38 |(inv(e4)=e1+% 0.08/0.38 |inv(e4)=e0)))), inference(literals_permutation, [status(thm)], [c_0_116])).+% 0.08/0.38 cnf(c_0_116_2, axiom, ((inv(e4)=e3+% 0.08/0.38 |(inv(e4)=e4+% 0.08/0.38 |inv(e4)=e5))+% 0.08/0.38 |(inv(e4)=e2+% 0.08/0.38 |(inv(e4)=e1+% 0.08/0.38 |inv(e4)=e0))), inference(literals_permutation, [status(thm)], [c_0_116])).+% 0.08/0.38 cnf(c_0_116_3, axiom, ((inv(e4)=e2+% 0.08/0.38 |(inv(e4)=e3+% 0.08/0.38 |(inv(e4)=e4+% 0.08/0.38 |inv(e4)=e5)))+% 0.08/0.38 |(inv(e4)=e1+% 0.08/0.38 |inv(e4)=e0)), inference(literals_permutation, [status(thm)], [c_0_116])).+% 0.08/0.38 cnf(c_0_116_4, axiom, ((inv(e4)=e1+% 0.08/0.38 |(inv(e4)=e2+% 0.08/0.38 |(inv(e4)=e3+% 0.08/0.38 |(inv(e4)=e4+% 0.08/0.38 |inv(e4)=e5))))+% 0.08/0.38 |inv(e4)=e0), inference(literals_permutation, [status(thm)], [c_0_116])).+% 0.08/0.38 cnf(c_0_116_5, axiom, (inv(e4)=e0+% 0.08/0.38 |(inv(e4)=e1+% 0.08/0.38 |(inv(e4)=e2+% 0.08/0.38 |(inv(e4)=e3+% 0.08/0.38 |(inv(e4)=e4+% 0.08/0.38 |inv(e4)=e5))))), inference(literals_permutation, [status(thm)], [c_0_116])).+% 0.08/0.38 cnf(c_0_117_0, axiom, (inv(e5)=e5+% 0.08/0.38 |(inv(e5)=e4+% 0.08/0.38 |(inv(e5)=e3+% 0.08/0.38 |(inv(e5)=e2+% 0.08/0.38 |(inv(e5)=e1+% 0.08/0.38 |inv(e5)=e0))))), inference(literals_permutation, [status(thm)], [c_0_117])).+% 0.08/0.38 cnf(c_0_117_1, axiom, ((inv(e5)=e4+% 0.08/0.38 |inv(e5)=e5)+% 0.08/0.38 |(inv(e5)=e3+% 0.08/0.38 |(inv(e5)=e2+% 0.08/0.38 |(inv(e5)=e1+% 0.08/0.38 |inv(e5)=e0)))), inference(literals_permutation, [status(thm)], [c_0_117])).+% 0.08/0.38 cnf(c_0_117_2, axiom, ((inv(e5)=e3+% 0.08/0.38 |(inv(e5)=e4+% 0.08/0.38 |inv(e5)=e5))+% 0.08/0.38 |(inv(e5)=e2+% 0.08/0.38 |(inv(e5)=e1+% 0.08/0.38 |inv(e5)=e0))), inference(literals_permutation, [status(thm)], [c_0_117])).+% 0.08/0.38 cnf(c_0_117_3, axiom, ((inv(e5)=e2+% 0.08/0.38 |(inv(e5)=e3+% 0.08/0.38 |(inv(e5)=e4+% 0.08/0.38 |inv(e5)=e5)))+% 0.08/0.38 |(inv(e5)=e1+% 0.08/0.38 |inv(e5)=e0)), inference(literals_permutation, [status(thm)], [c_0_117])).+% 0.08/0.38 cnf(c_0_117_4, axiom, ((inv(e5)=e1+% 0.08/0.38 |(inv(e5)=e2+% 0.08/0.38 |(inv(e5)=e3+% 0.08/0.38 |(inv(e5)=e4+% 0.08/0.38 |inv(e5)=e5))))+% 0.08/0.38 |inv(e5)=e0), inference(literals_permutation, [status(thm)], [c_0_117])).+% 0.08/0.38 cnf(c_0_117_5, axiom, (inv(e5)=e0+% 0.08/0.38 |(inv(e5)=e1+% 0.08/0.38 |(inv(e5)=e2+% 0.08/0.38 |(inv(e5)=e3+% 0.08/0.38 |(inv(e5)=e4+% 0.08/0.38 |inv(e5)=e5))))), inference(literals_permutation, [status(thm)], [c_0_117])).+% 0.08/0.38 cnf(c_0_142_0, axiom, (unit=e5+% 0.08/0.38 |(unit=e4+% 0.08/0.38 |(unit=e3+% 0.08/0.38 |(unit=e2+% 0.08/0.38 |(unit=e1+% 0.08/0.38 |unit=e0))))), inference(literals_permutation, [status(thm)], [c_0_142])).+% 0.08/0.38 cnf(c_0_142_1, axiom, ((unit=e4+% 0.08/0.38 |unit=e5)+% 0.08/0.38 |(unit=e3+% 0.08/0.38 |(unit=e2+% 0.08/0.38 |(unit=e1+% 0.08/0.38 |unit=e0)))), inference(literals_permutation, [status(thm)], [c_0_142])).+% 0.08/0.38 cnf(c_0_142_2, axiom, ((unit=e3+% 0.08/0.38 |(unit=e4+% 0.08/0.38 |unit=e5))+% 0.08/0.38 |(unit=e2+% 0.08/0.38 |(unit=e1+% 0.08/0.38 |unit=e0))), inference(literals_permutation, [status(thm)], [c_0_142])).+% 0.08/0.38 cnf(c_0_142_3, axiom, ((unit=e2+% 0.08/0.38 |(unit=e3+% 0.08/0.38 |(unit=e4+% 0.08/0.38 |unit=e5)))+% 0.08/0.38 |(unit=e1+% 0.08/0.38 |unit=e0)), inference(literals_permutation, [status(thm)], [c_0_142])).+% 0.08/0.38 cnf(c_0_142_4, axiom, ((unit=e1+% 0.08/0.38 |(unit=e2+% 0.08/0.38 |(unit=e3+% 0.08/0.38 |(unit=e4+% 0.08/0.38 |unit=e5))))+% 0.08/0.38 |unit=e0), inference(literals_permutation, [status(thm)], [c_0_142])).+% 0.08/0.38 cnf(c_0_142_5, axiom, (unit=e0+% 0.08/0.38 |(unit=e1+% 0.08/0.38 |(unit=e2+% 0.08/0.38 |(unit=e3+% 0.08/0.38 |(unit=e4+% 0.08/0.38 |unit=e5))))), inference(literals_permutation, [status(thm)], [c_0_142])).+% 0.08/0.38 cnf(c_0_118_0, axiom, op(e0,inv(e0))=unit, inference(literals_permutation, [status(thm)], [c_0_118])).+% 0.08/0.38 cnf(c_0_119_0, axiom, op(inv(e0),e0)=unit, inference(literals_permutation, [status(thm)], [c_0_119])).+% 0.08/0.38 cnf(c_0_120_0, axiom, op(e1,inv(e1))=unit, inference(literals_permutation, [status(thm)], [c_0_120])).+% 0.08/0.38 cnf(c_0_121_0, axiom, op(inv(e1),e1)=unit, inference(literals_permutation, [status(thm)], [c_0_121])).+% 0.08/0.38 cnf(c_0_122_0, axiom, op(e2,inv(e2))=unit, inference(literals_permutation, [status(thm)], [c_0_122])).+% 0.08/0.38 cnf(c_0_123_0, axiom, op(inv(e2),e2)=unit, inference(literals_permutation, [status(thm)], [c_0_123])).+% 0.08/0.38 cnf(c_0_124_0, axiom, op(e3,inv(e3))=unit, inference(literals_permutation, [status(thm)], [c_0_124])).+% 0.08/0.38 cnf(c_0_125_0, axiom, op(inv(e3),e3)=unit, inference(literals_permutation, [status(thm)], [c_0_125])).+% 0.08/0.38 cnf(c_0_126_0, axiom, op(e4,inv(e4))=unit, inference(literals_permutation, [status(thm)], [c_0_126])).+% 0.08/0.38 cnf(c_0_127_0, axiom, op(inv(e4),e4)=unit, inference(literals_permutation, [status(thm)], [c_0_127])).+% 0.08/0.38 cnf(c_0_128_0, axiom, op(e5,inv(e5))=unit, inference(literals_permutation, [status(thm)], [c_0_128])).+% 0.08/0.38 cnf(c_0_129_0, axiom, op(inv(e5),e5)=unit, inference(literals_permutation, [status(thm)], [c_0_129])).+% 0.08/0.38 cnf(c_0_130_0, axiom, op(unit,e0)=e0, inference(literals_permutation, [status(thm)], [c_0_130])).+% 0.08/0.38 cnf(c_0_131_0, axiom, op(e0,unit)=e0, inference(literals_permutation, [status(thm)], [c_0_131])).+% 0.08/0.38 cnf(c_0_132_0, axiom, op(unit,e1)=e1, inference(literals_permutation, [status(thm)], [c_0_132])).+% 0.08/0.38 cnf(c_0_133_0, axiom, op(e1,unit)=e1, inference(literals_permutation, [status(thm)], [c_0_133])).+% 0.08/0.38 cnf(c_0_134_0, axiom, op(unit,e2)=e2, inference(literals_permutation, [status(thm)], [c_0_134])).+% 0.08/0.38 cnf(c_0_135_0, axiom, op(e2,unit)=e2, inference(literals_permutation, [status(thm)], [c_0_135])).+% 0.08/0.38 cnf(c_0_136_0, axiom, op(unit,e3)=e3, inference(literals_permutation, [status(thm)], [c_0_136])).+% 0.08/0.38 cnf(c_0_137_0, axiom, op(e3,unit)=e3, inference(literals_permutation, [status(thm)], [c_0_137])).+% 0.08/0.38 cnf(c_0_138_0, axiom, op(unit,e4)=e4, inference(literals_permutation, [status(thm)], [c_0_138])).+% 0.08/0.38 cnf(c_0_139_0, axiom, op(e4,unit)=e4, inference(literals_permutation, [status(thm)], [c_0_139])).+% 0.08/0.38 cnf(c_0_140_0, axiom, op(unit,e5)=e5, inference(literals_permutation, [status(thm)], [c_0_140])).+% 0.08/0.38 cnf(c_0_141_0, axiom, op(e5,unit)=e5, inference(literals_permutation, [status(thm)], [c_0_141])).+% 0.08/0.38 % CNF of non-axioms+% 0.08/0.38 % Start CNF derivation+% 0.08/0.38 fof(c_0_0, conjecture, (~((op(e0,e0)=op(e0,e0)&(op(e0,e1)=op(e1,e0)&(op(e0,e2)=op(e2,e0)&(op(e0,e3)=op(e3,e0)&(op(e0,e4)=op(e4,e0)&(op(e0,e5)=op(e5,e0)&(op(e1,e0)=op(e0,e1)&(op(e1,e1)=op(e1,e1)&(op(e1,e2)=op(e2,e1)&(op(e1,e3)=op(e3,e1)&(op(e1,e4)=op(e4,e1)&(op(e1,e5)=op(e5,e1)&(op(e2,e0)=op(e0,e2)&(op(e2,e1)=op(e1,e2)&(op(e2,e2)=op(e2,e2)&(op(e2,e3)=op(e3,e2)&(op(e2,e4)=op(e4,e2)&(op(e2,e5)=op(e5,e2)&(op(e3,e0)=op(e0,e3)&(op(e3,e1)=op(e1,e3)&(op(e3,e2)=op(e2,e3)&(op(e3,e3)=op(e3,e3)&(op(e3,e4)=op(e4,e3)&(op(e3,e5)=op(e5,e3)&(op(e4,e0)=op(e0,e4)&(op(e4,e1)=op(e1,e4)&(op(e4,e2)=op(e2,e4)&(op(e4,e3)=op(e3,e4)&(op(e4,e4)=op(e4,e4)&(op(e4,e5)=op(e5,e4)&(op(e5,e0)=op(e0,e5)&(op(e5,e1)=op(e1,e5)&(op(e5,e2)=op(e2,e5)&(op(e5,e3)=op(e3,e5)&(op(e5,e4)=op(e4,e5)&(op(e5,e5)=op(e5,e5)&~((op(e0,e0)=op(e0,e0)&(op(e0,e1)=op(e1,e0)&(op(e0,e2)=op(e2,e0)&(op(e0,e3)=op(e3,e0)&(op(e0,e4)=op(e4,e0)&(op(e0,e5)=op(e5,e0)&(op(e1,e0)=op(e0,e1)&(op(e1,e1)=op(e1,e1)&(op(e1,e2)=op(e2,e1)&(op(e1,e3)=op(e3,e1)&(op(e1,e4)=op(e4,e1)&(op(e1,e5)=op(e5,e1)&(op(e2,e0)=op(e0,e2)&(op(e2,e1)=op(e1,e2)&(op(e2,e2)=op(e2,e2)&(op(e2,e3)=op(e3,e2)&(op(e2,e4)=op(e4,e2)&(op(e2,e5)=op(e5,e2)&(op(e3,e0)=op(e0,e3)&(op(e3,e1)=op(e1,e3)&(op(e3,e2)=op(e2,e3)&(op(e3,e3)=op(e3,e3)&(op(e3,e4)=op(e4,e3)&(op(e3,e5)=op(e5,e3)&(op(e4,e0)=op(e0,e4)&(op(e4,e1)=op(e1,e4)&(op(e4,e2)=op(e2,e4)&(op(e4,e3)=op(e3,e4)&(op(e4,e4)=op(e4,e4)&(op(e4,e5)=op(e5,e4)&(op(e5,e0)=op(e0,e5)&(op(e5,e1)=op(e1,e5)&(op(e5,e2)=op(e2,e5)&(op(e5,e3)=op(e3,e5)&(op(e5,e4)=op(e4,e5)&op(e5,e5)=op(e5,e5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('<stdin>', co1)).+% 0.08/0.38 fof(c_0_1, negated_conjecture, (~(~((op(e0,e0)=op(e0,e0)&(op(e0,e1)=op(e1,e0)&(op(e0,e2)=op(e2,e0)&(op(e0,e3)=op(e3,e0)&(op(e0,e4)=op(e4,e0)&(op(e0,e5)=op(e5,e0)&(op(e1,e0)=op(e0,e1)&(op(e1,e1)=op(e1,e1)&(op(e1,e2)=op(e2,e1)&(op(e1,e3)=op(e3,e1)&(op(e1,e4)=op(e4,e1)&(op(e1,e5)=op(e5,e1)&(op(e2,e0)=op(e0,e2)&(op(e2,e1)=op(e1,e2)&(op(e2,e2)=op(e2,e2)&(op(e2,e3)=op(e3,e2)&(op(e2,e4)=op(e4,e2)&(op(e2,e5)=op(e5,e2)&(op(e3,e0)=op(e0,e3)&(op(e3,e1)=op(e1,e3)&(op(e3,e2)=op(e2,e3)&(op(e3,e3)=op(e3,e3)&(op(e3,e4)=op(e4,e3)&(op(e3,e5)=op(e5,e3)&(op(e4,e0)=op(e0,e4)&(op(e4,e1)=op(e1,e4)&(op(e4,e2)=op(e2,e4)&(op(e4,e3)=op(e3,e4)&(op(e4,e4)=op(e4,e4)&(op(e4,e5)=op(e5,e4)&(op(e5,e0)=op(e0,e5)&(op(e5,e1)=op(e1,e5)&(op(e5,e2)=op(e2,e5)&(op(e5,e3)=op(e3,e5)&(op(e5,e4)=op(e4,e5)&(op(e5,e5)=op(e5,e5)&~((op(e0,e0)=op(e0,e0)&(op(e0,e1)=op(e1,e0)&(op(e0,e2)=op(e2,e0)&(op(e0,e3)=op(e3,e0)&(op(e0,e4)=op(e4,e0)&(op(e0,e5)=op(e5,e0)&(op(e1,e0)=op(e0,e1)&(op(e1,e1)=op(e1,e1)&(op(e1,e2)=op(e2,e1)&(op(e1,e3)=op(e3,e1)&(op(e1,e4)=op(e4,e1)&(op(e1,e5)=op(e5,e1)&(op(e2,e0)=op(e0,e2)&(op(e2,e1)=op(e1,e2)&(op(e2,e2)=op(e2,e2)&(op(e2,e3)=op(e3,e2)&(op(e2,e4)=op(e4,e2)&(op(e2,e5)=op(e5,e2)&(op(e3,e0)=op(e0,e3)&(op(e3,e1)=op(e1,e3)&(op(e3,e2)=op(e2,e3)&(op(e3,e3)=op(e3,e3)&(op(e3,e4)=op(e4,e3)&(op(e3,e5)=op(e5,e3)&(op(e4,e0)=op(e0,e4)&(op(e4,e1)=op(e1,e4)&(op(e4,e2)=op(e2,e4)&(op(e4,e3)=op(e3,e4)&(op(e4,e4)=op(e4,e4)&(op(e4,e5)=op(e5,e4)&(op(e5,e0)=op(e0,e5)&(op(e5,e1)=op(e1,e5)&(op(e5,e2)=op(e2,e5)&(op(e5,e3)=op(e3,e5)&(op(e5,e4)=op(e4,e5)&op(e5,e5)=op(e5,e5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[c_0_0])).+% 0.08/0.38 fof(c_0_2, negated_conjecture, ((op(e0,e0)=op(e0,e0)&(op(e0,e1)=op(e1,e0)&(op(e0,e2)=op(e2,e0)&(op(e0,e3)=op(e3,e0)&(op(e0,e4)=op(e4,e0)&(op(e0,e5)=op(e5,e0)&(op(e1,e0)=op(e0,e1)&(op(e1,e1)=op(e1,e1)&(op(e1,e2)=op(e2,e1)&(op(e1,e3)=op(e3,e1)&(op(e1,e4)=op(e4,e1)&(op(e1,e5)=op(e5,e1)&(op(e2,e0)=op(e0,e2)&(op(e2,e1)=op(e1,e2)&(op(e2,e2)=op(e2,e2)&(op(e2,e3)=op(e3,e2)&(op(e2,e4)=op(e4,e2)&(op(e2,e5)=op(e5,e2)&(op(e3,e0)=op(e0,e3)&(op(e3,e1)=op(e1,e3)&(op(e3,e2)=op(e2,e3)&(op(e3,e3)=op(e3,e3)&(op(e3,e4)=op(e4,e3)&(op(e3,e5)=op(e5,e3)&(op(e4,e0)=op(e0,e4)&(op(e4,e1)=op(e1,e4)&(op(e4,e2)=op(e2,e4)&(op(e4,e3)=op(e3,e4)&(op(e4,e4)=op(e4,e4)&(op(e4,e5)=op(e5,e4)&(op(e5,e0)=op(e0,e5)&(op(e5,e1)=op(e1,e5)&(op(e5,e2)=op(e2,e5)&(op(e5,e3)=op(e3,e5)&(op(e5,e4)=op(e4,e5)&(op(e5,e5)=op(e5,e5)&(op(e0,e0)!=op(e0,e0)|(op(e0,e1)!=op(e1,e0)|(op(e0,e2)!=op(e2,e0)|(op(e0,e3)!=op(e3,e0)|(op(e0,e4)!=op(e4,e0)|(op(e0,e5)!=op(e5,e0)|(op(e1,e0)!=op(e0,e1)|(op(e1,e1)!=op(e1,e1)|(op(e1,e2)!=op(e2,e1)|(op(e1,e3)!=op(e3,e1)|(op(e1,e4)!=op(e4,e1)|(op(e1,e5)!=op(e5,e1)|(op(e2,e0)!=op(e0,e2)|(op(e2,e1)!=op(e1,e2)|(op(e2,e2)!=op(e2,e2)|(op(e2,e3)!=op(e3,e2)|(op(e2,e4)!=op(e4,e2)|(op(e2,e5)!=op(e5,e2)|(op(e3,e0)!=op(e0,e3)|(op(e3,e1)!=op(e1,e3)|(op(e3,e2)!=op(e2,e3)|(op(e3,e3)!=op(e3,e3)|(op(e3,e4)!=op(e4,e3)|(op(e3,e5)!=op(e5,e3)|(op(e4,e0)!=op(e0,e4)|(op(e4,e1)!=op(e1,e4)|(op(e4,e2)!=op(e2,e4)|(op(e4,e3)!=op(e3,e4)|(op(e4,e4)!=op(e4,e4)|(op(e4,e5)!=op(e5,e4)|(op(e5,e0)!=op(e0,e5)|(op(e5,e1)!=op(e1,e5)|(op(e5,e2)!=op(e2,e5)|(op(e5,e3)!=op(e3,e5)|(op(e5,e4)!=op(e4,e5)|op(e5,e5)!=op(e5,e5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(fof_nnf,[status(thm)],[c_0_1])).+% 0.08/0.38 cnf(c_0_3,negated_conjecture,($false|op(e5,e4)!=op(e4,e5)|op(e5,e3)!=op(e3,e5)|op(e5,e2)!=op(e2,e5)|op(e5,e1)!=op(e1,e5)|op(e5,e0)!=op(e0,e5)|op(e4,e5)!=op(e5,e4)|$false|op(e4,e3)!=op(e3,e4)|op(e4,e2)!=op(e2,e4)|op(e4,e1)!=op(e1,e4)|op(e4,e0)!=op(e0,e4)|op(e3,e5)!=op(e5,e3)|op(e3,e4)!=op(e4,e3)|$false|op(e3,e2)!=op(e2,e3)|op(e3,e1)!=op(e1,e3)|op(e3,e0)!=op(e0,e3)|op(e2,e5)!=op(e5,e2)|op(e2,e4)!=op(e4,e2)|op(e2,e3)!=op(e3,e2)|$false|op(e2,e1)!=op(e1,e2)|op(e2,e0)!=op(e0,e2)|op(e1,e5)!=op(e5,e1)|op(e1,e4)!=op(e4,e1)|op(e1,e3)!=op(e3,e1)|op(e1,e2)!=op(e2,e1)|$false|op(e1,e0)!=op(e0,e1)|op(e0,e5)!=op(e5,e0)|op(e0,e4)!=op(e4,e0)|op(e0,e3)!=op(e3,e0)|op(e0,e2)!=op(e2,e0)|op(e0,e1)!=op(e1,e0)|$false), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_4,negated_conjecture,(op(e0,e0)=op(e0,e0)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_5,negated_conjecture,(op(e0,e1)=op(e1,e0)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_6,negated_conjecture,(op(e0,e2)=op(e2,e0)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_7,negated_conjecture,(op(e0,e3)=op(e3,e0)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_8,negated_conjecture,(op(e0,e4)=op(e4,e0)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_9,negated_conjecture,(op(e0,e5)=op(e5,e0)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_10,negated_conjecture,(op(e1,e0)=op(e0,e1)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_11,negated_conjecture,(op(e1,e1)=op(e1,e1)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_12,negated_conjecture,(op(e1,e2)=op(e2,e1)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_13,negated_conjecture,(op(e1,e3)=op(e3,e1)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_14,negated_conjecture,(op(e1,e4)=op(e4,e1)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_15,negated_conjecture,(op(e1,e5)=op(e5,e1)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_16,negated_conjecture,(op(e2,e0)=op(e0,e2)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_17,negated_conjecture,(op(e2,e1)=op(e1,e2)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_18,negated_conjecture,(op(e2,e2)=op(e2,e2)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_19,negated_conjecture,(op(e2,e3)=op(e3,e2)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_20,negated_conjecture,(op(e2,e4)=op(e4,e2)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_21,negated_conjecture,(op(e2,e5)=op(e5,e2)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_22,negated_conjecture,(op(e3,e0)=op(e0,e3)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_23,negated_conjecture,(op(e3,e1)=op(e1,e3)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_24,negated_conjecture,(op(e3,e2)=op(e2,e3)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_25,negated_conjecture,(op(e3,e3)=op(e3,e3)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_26,negated_conjecture,(op(e3,e4)=op(e4,e3)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_27,negated_conjecture,(op(e3,e5)=op(e5,e3)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_28,negated_conjecture,(op(e4,e0)=op(e0,e4)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_29,negated_conjecture,(op(e4,e1)=op(e1,e4)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_30,negated_conjecture,(op(e4,e2)=op(e2,e4)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_31,negated_conjecture,(op(e4,e3)=op(e3,e4)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_32,negated_conjecture,(op(e4,e4)=op(e4,e4)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_33,negated_conjecture,(op(e4,e5)=op(e5,e4)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_34,negated_conjecture,(op(e5,e0)=op(e0,e5)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_35,negated_conjecture,(op(e5,e1)=op(e1,e5)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_36,negated_conjecture,(op(e5,e2)=op(e2,e5)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_37,negated_conjecture,(op(e5,e3)=op(e3,e5)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_38,negated_conjecture,(op(e5,e4)=op(e4,e5)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_39,negated_conjecture,(op(e5,e5)=op(e5,e5)), inference(split_conjunct,[status(thm)],[c_0_2])).+% 0.08/0.38 cnf(c_0_40,negated_conjecture,($false|op(e4,e5)!=op(e5,e4)|op(e3,e5)!=op(e5,e3)|op(e2,e5)!=op(e5,e2)|op(e1,e5)!=op(e5,e1)|op(e0,e5)!=op(e5,e0)|op(e4,e5)!=op(e5,e4)|$false|op(e3,e4)!=op(e4,e3)|op(e2,e4)!=op(e4,e2)|op(e1,e4)!=op(e4,e1)|op(e0,e4)!=op(e4,e0)|op(e3,e5)!=op(e5,e3)|op(e3,e4)!=op(e4,e3)|$false|op(e2,e3)!=op(e3,e2)|op(e1,e3)!=op(e3,e1)|op(e0,e3)!=op(e3,e0)|op(e2,e5)!=op(e5,e2)|op(e2,e4)!=op(e4,e2)|op(e2,e3)!=op(e3,e2)|$false|op(e1,e2)!=op(e2,e1)|op(e0,e2)!=op(e2,e0)|op(e1,e5)!=op(e5,e1)|op(e1,e4)!=op(e4,e1)|op(e1,e3)!=op(e3,e1)|op(e1,e2)!=op(e2,e1)|$false|op(e0,e1)!=op(e1,e0)|op(e0,e5)!=op(e5,e0)|op(e0,e4)!=op(e4,e0)|op(e0,e3)!=op(e3,e0)|op(e0,e2)!=op(e2,e0)|op(e0,e1)!=op(e1,e0)|$false), c_0_3, ['final']).+% 0.08/0.38 cnf(c_0_41,negated_conjecture,(op(e0,e0)=op(e0,e0)), c_0_4, ['final']).+% 0.08/0.38 cnf(c_0_42,negated_conjecture,(op(e0,e1)=op(e1,e0)), c_0_5, ['final']).+% 0.08/0.38 cnf(c_0_43,negated_conjecture,(op(e0,e2)=op(e2,e0)), c_0_6, ['final']).+% 0.08/0.38 cnf(c_0_44,negated_conjecture,(op(e0,e3)=op(e3,e0)), c_0_7, ['final']).+% 0.08/0.38 cnf(c_0_45,negated_conjecture,(op(e0,e4)=op(e4,e0)), c_0_8, ['final']).+% 0.08/0.38 cnf(c_0_46,negated_conjecture,(op(e0,e5)=op(e5,e0)), c_0_9, ['final']).+% 0.08/0.38 cnf(c_0_47,negated_conjecture,(op(e0,e1)=op(e1,e0)), c_0_10, ['final']).+% 0.08/0.38 cnf(c_0_48,negated_conjecture,(op(e1,e1)=op(e1,e1)), c_0_11, ['final']).+% 0.08/0.38 cnf(c_0_49,negated_conjecture,(op(e1,e2)=op(e2,e1)), c_0_12, ['final']).+% 0.08/0.38 cnf(c_0_50,negated_conjecture,(op(e1,e3)=op(e3,e1)), c_0_13, ['final']).+% 0.08/0.38 cnf(c_0_51,negated_conjecture,(op(e1,e4)=op(e4,e1)), c_0_14, ['final']).+% 0.08/0.38 cnf(c_0_52,negated_conjecture,(op(e1,e5)=op(e5,e1)), c_0_15, ['final']).+% 0.08/0.38 cnf(c_0_53,negated_conjecture,(op(e0,e2)=op(e2,e0)), c_0_16, ['final']).+% 0.08/0.38 cnf(c_0_54,negated_conjecture,(op(e1,e2)=op(e2,e1)), c_0_17, ['final']).+% 0.08/0.38 cnf(c_0_55,negated_conjecture,(op(e2,e2)=op(e2,e2)), c_0_18, ['final']).+% 0.08/0.38 cnf(c_0_56,negated_conjecture,(op(e2,e3)=op(e3,e2)), c_0_19, ['final']).+% 0.08/0.38 cnf(c_0_57,negated_conjecture,(op(e2,e4)=op(e4,e2)), c_0_20, ['final']).+% 0.08/0.38 cnf(c_0_58,negated_conjecture,(op(e2,e5)=op(e5,e2)), c_0_21, ['final']).+% 0.08/0.38 cnf(c_0_59,negated_conjecture,(op(e0,e3)=op(e3,e0)), c_0_22, ['final']).+% 0.08/0.38 cnf(c_0_60,negated_conjecture,(op(e1,e3)=op(e3,e1)), c_0_23, ['final']).+% 0.08/0.38 cnf(c_0_61,negated_conjecture,(op(e2,e3)=op(e3,e2)), c_0_24, ['final']).+% 0.08/0.38 cnf(c_0_62,negated_conjecture,(op(e3,e3)=op(e3,e3)), c_0_25, ['final']).+% 0.08/0.38 cnf(c_0_63,negated_conjecture,(op(e3,e4)=op(e4,e3)), c_0_26, ['final']).+% 0.08/0.38 cnf(c_0_64,negated_conjecture,(op(e3,e5)=op(e5,e3)), c_0_27, ['final']).+% 0.08/0.38 cnf(c_0_65,negated_conjecture,(op(e0,e4)=op(e4,e0)), c_0_28, ['final']).+% 0.08/0.38 cnf(c_0_66,negated_conjecture,(op(e1,e4)=op(e4,e1)), c_0_29, ['final']).+% 0.08/0.38 cnf(c_0_67,negated_conjecture,(op(e2,e4)=op(e4,e2)), c_0_30, ['final']).+% 0.08/0.38 cnf(c_0_68,negated_conjecture,(op(e3,e4)=op(e4,e3)), c_0_31, ['final']).+% 0.08/0.38 cnf(c_0_69,negated_conjecture,(op(e4,e4)=op(e4,e4)), c_0_32, ['final']).+% 0.08/0.38 cnf(c_0_70,negated_conjecture,(op(e4,e5)=op(e5,e4)), c_0_33, ['final']).+% 0.08/0.38 cnf(c_0_71,negated_conjecture,(op(e0,e5)=op(e5,e0)), c_0_34, ['final']).+% 0.08/0.38 cnf(c_0_72,negated_conjecture,(op(e1,e5)=op(e5,e1)), c_0_35, ['final']).+% 0.08/0.38 cnf(c_0_73,negated_conjecture,(op(e2,e5)=op(e5,e2)), c_0_36, ['final']).+% 0.08/0.38 cnf(c_0_74,negated_conjecture,(op(e3,e5)=op(e5,e3)), c_0_37, ['final']).+% 0.08/0.38 cnf(c_0_75,negated_conjecture,(op(e4,e5)=op(e5,e4)), c_0_38, ['final']).+% 0.08/0.38 cnf(c_0_76,negated_conjecture,(op(e5,e5)=op(e5,e5)), c_0_39, ['final']).+% 0.08/0.38 % End CNF derivation+% 0.08/0.38 +% 0.08/0.38 %-------------------------------------------------------------+% 0.08/0.38 % Proof by iprover+% 0.08/0.38 +% 0.08/0.38 +% 0.08/0.38 cnf(c_756,negated_conjecture,+% 0.08/0.38 ( op(e0,e5) != op(e5,e0)+% 0.08/0.38 | op(e0,e4) != op(e4,e0)+% 0.08/0.38 | op(e0,e3) != op(e3,e0)+% 0.08/0.38 | op(e0,e2) != op(e2,e0)+% 0.08/0.38 | op(e0,e1) != op(e1,e0)+% 0.08/0.38 | op(e4,e5) != op(e5,e4)+% 0.08/0.38 | op(e3,e5) != op(e5,e3)+% 0.08/0.38 | op(e3,e4) != op(e4,e3)+% 0.08/0.38 | op(e2,e5) != op(e5,e2)+% 0.08/0.38 | op(e2,e4) != op(e4,e2)+% 0.08/0.38 | op(e2,e3) != op(e3,e2)+% 0.08/0.38 | op(e1,e5) != op(e5,e1)+% 0.08/0.38 | op(e1,e4) != op(e4,e1)+% 0.08/0.38 | op(e1,e3) != op(e3,e1)+% 0.08/0.38 | op(e1,e2) != op(e2,e1) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_40) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_763,negated_conjecture,+% 0.08/0.38 ( op(e0,e1) = op(e1,e0) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_47) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_769,negated_conjecture,+% 0.08/0.38 ( op(e0,e2) = op(e2,e0) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_53) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_770,negated_conjecture,+% 0.08/0.38 ( op(e1,e2) = op(e2,e1) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_54) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_775,negated_conjecture,+% 0.08/0.38 ( op(e0,e3) = op(e3,e0) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_59) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_776,negated_conjecture,+% 0.08/0.38 ( op(e1,e3) = op(e3,e1) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_60) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_777,negated_conjecture,+% 0.08/0.38 ( op(e2,e3) = op(e3,e2) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_61) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_781,negated_conjecture,+% 0.08/0.38 ( op(e0,e4) = op(e4,e0) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_65) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_782,negated_conjecture,+% 0.08/0.38 ( op(e1,e4) = op(e4,e1) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_66) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_783,negated_conjecture,+% 0.08/0.38 ( op(e2,e4) = op(e4,e2) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_67) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_784,negated_conjecture,+% 0.08/0.38 ( op(e3,e4) = op(e4,e3) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_68) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_787,negated_conjecture,+% 0.08/0.38 ( op(e0,e5) = op(e5,e0) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_71) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_788,negated_conjecture,+% 0.08/0.38 ( op(e1,e5) = op(e5,e1) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_72) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_789,negated_conjecture,+% 0.08/0.38 ( op(e2,e5) = op(e5,e2) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_73) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_790,negated_conjecture,+% 0.08/0.38 ( op(e3,e5) = op(e5,e3) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_74) ).+% 0.08/0.38 +% 0.08/0.38 cnf(c_791,negated_conjecture,+% 0.08/0.38 ( op(e4,e5) = op(e5,e4) ),+% 0.08/0.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_455b36.p', c_0_75) ).+% 0.08/0.38 +% 0.08/0.38 cnf(contradiction,plain,+% 0.08/0.38 ( $false ),+% 0.08/0.38 inference(minisat,+% 0.08/0.38 [status(thm)],+% 0.08/0.38 [c_756,c_763,c_769,c_770,c_775,c_776,c_777,c_781,c_782,+% 0.08/0.38 c_783,c_784,c_787,c_788,c_789,c_790,c_791]) ).+% 0.08/0.38 +% 0.08/0.38 +% 0.08/0.38 +% 0.08/0.38 % SZS output end CNFRefutation+%------------------------------------------------------------------------------
+ test-data/tstp/fof/ALG043+1---Vampire---4.3.THM-Ref.s view
@@ -0,0 +1,5265 @@+%------------------------------------------------------------------------------+% File : Vampire---4.3+% Problem : ALG043+1 : TPTP v7.1.0. Released v2.7.0.+% Transform : none+% Format : tptp:raw+% Command : vampire --mode casc -t %d %s++% Computer : n157.star.cs.uiowa.edu+% Model : x86_64 x86_64+% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz+% Memory : 32218.625MB+% OS : Linux 3.10.0-693.2.2.el7.x86_64+% CPULimit : 300s+% DateTime : Tue Sep 4 10:09:56 EDT 2018++% Result : Theorem 0.08s+% Output : Refutation 0.08s+% Verified : +% Statistics : Number of formulae : 324 ( 567 expanded)+% Number of leaves : 50 ( 198 expanded)+% Depth : 68+% Number of atoms : 3266 (4219 expanded)+% Number of equality atoms : 1660 (2566 expanded)+% Maximal formula depth : 65 ( 9 average)+% Maximal term depth : 2 ( 1 average)++% Comments : +%------------------------------------------------------------------------------+%----WARNING: Vampire---4.3 format not known, defaulting to TPTP+fof(f2,axiom,+ ( e0 = op(e3,e3)+ & e1 = op(e3,e2)+ & e2 = op(e3,e1)+ & e3 = op(e3,e0)+ & e1 = op(e2,e3)+ & e0 = op(e2,e2)+ & e3 = op(e2,e1)+ & e2 = op(e2,e0)+ & e2 = op(e1,e3)+ & e3 = op(e1,e2)+ & e0 = op(e1,e1)+ & e1 = op(e1,e0)+ & e3 = op(e0,e3)+ & e2 = op(e0,e2)+ & e1 = op(e0,e1)+ & e0 = op(e0,e0) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).++fof(f3,axiom,(+ e0 = unit ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).++fof(f4,conjecture,+ ( ( e3 = op(e3,e3)+ | e3 = op(e2,e3)+ | e3 = op(e1,e3)+ | e3 = op(e0,e3) )+ & ( e3 = op(e3,e3)+ | e3 = op(e3,e2)+ | e3 = op(e3,e1)+ | e3 = op(e3,e0) )+ & ( e2 = op(e3,e3)+ | e2 = op(e2,e3)+ | e2 = op(e1,e3)+ | e2 = op(e0,e3) )+ & ( e2 = op(e3,e3)+ | e2 = op(e3,e2)+ | e2 = op(e3,e1)+ | e2 = op(e3,e0) )+ & ( e1 = op(e3,e3)+ | e1 = op(e2,e3)+ | e1 = op(e1,e3)+ | e1 = op(e0,e3) )+ & ( e1 = op(e3,e3)+ | e1 = op(e3,e2)+ | e1 = op(e3,e1)+ | e1 = op(e3,e0) )+ & ( e0 = op(e3,e3)+ | e0 = op(e2,e3)+ | e0 = op(e1,e3)+ | e0 = op(e0,e3) )+ & ( e0 = op(e3,e3)+ | e0 = op(e3,e2)+ | e0 = op(e3,e1)+ | e0 = op(e3,e0) )+ & ( e3 = op(e3,e2)+ | e3 = op(e2,e2)+ | e3 = op(e1,e2)+ | e3 = op(e0,e2) )+ & ( e3 = op(e2,e3)+ | e3 = op(e2,e2)+ | e3 = op(e2,e1)+ | e3 = op(e2,e0) )+ & ( e2 = op(e3,e2)+ | e2 = op(e2,e2)+ | e2 = op(e1,e2)+ | e2 = op(e0,e2) )+ & ( e2 = op(e2,e3)+ | e2 = op(e2,e2)+ | e2 = op(e2,e1)+ | e2 = op(e2,e0) )+ & ( e1 = op(e3,e2)+ | e1 = op(e2,e2)+ | e1 = op(e1,e2)+ | e1 = op(e0,e2) )+ & ( e1 = op(e2,e3)+ | e1 = op(e2,e2)+ | e1 = op(e2,e1)+ | e1 = op(e2,e0) )+ & ( e0 = op(e3,e2)+ | e0 = op(e2,e2)+ | e0 = op(e1,e2)+ | e0 = op(e0,e2) )+ & ( e0 = op(e2,e3)+ | e0 = op(e2,e2)+ | e0 = op(e2,e1)+ | e0 = op(e2,e0) )+ & ( e3 = op(e3,e1)+ | e3 = op(e2,e1)+ | e3 = op(e1,e1)+ | e3 = op(e0,e1) )+ & ( e3 = op(e1,e3)+ | e3 = op(e1,e2)+ | e3 = op(e1,e1)+ | e3 = op(e1,e0) )+ & ( e2 = op(e3,e1)+ | e2 = op(e2,e1)+ | e2 = op(e1,e1)+ | e2 = op(e0,e1) )+ & ( e2 = op(e1,e3)+ | e2 = op(e1,e2)+ | e2 = op(e1,e1)+ | e2 = op(e1,e0) )+ & ( e1 = op(e3,e1)+ | e1 = op(e2,e1)+ | e1 = op(e1,e1)+ | e1 = op(e0,e1) )+ & ( e1 = op(e1,e3)+ | e1 = op(e1,e2)+ | e1 = op(e1,e1)+ | e1 = op(e1,e0) )+ & ( e0 = op(e3,e1)+ | e0 = op(e2,e1)+ | e0 = op(e1,e1)+ | e0 = op(e0,e1) )+ & ( e0 = op(e1,e3)+ | e0 = op(e1,e2)+ | e0 = op(e1,e1)+ | e0 = op(e1,e0) )+ & ( e3 = op(e3,e0)+ | e3 = op(e2,e0)+ | e3 = op(e1,e0)+ | e3 = op(e0,e0) )+ & ( e3 = op(e0,e3)+ | e3 = op(e0,e2)+ | e3 = op(e0,e1)+ | e3 = op(e0,e0) )+ & ( e2 = op(e3,e0)+ | e2 = op(e2,e0)+ | e2 = op(e1,e0)+ | e2 = op(e0,e0) )+ & ( e2 = op(e0,e3)+ | e2 = op(e0,e2)+ | e2 = op(e0,e1)+ | e2 = op(e0,e0) )+ & ( e1 = op(e3,e0)+ | e1 = op(e2,e0)+ | e1 = op(e1,e0)+ | e1 = op(e0,e0) )+ & ( e1 = op(e0,e3)+ | e1 = op(e0,e2)+ | e1 = op(e0,e1)+ | e1 = op(e0,e0) )+ & ( e0 = op(e3,e0)+ | e0 = op(e2,e0)+ | e0 = op(e1,e0)+ | e0 = op(e0,e0) )+ & ( e0 = op(e0,e3)+ | e0 = op(e0,e2)+ | e0 = op(e0,e1)+ | e0 = op(e0,e0) )+ & ( e3 = unit+ | e2 = unit+ | e1 = unit+ | e0 = unit )+ & e3 = op(e3,unit)+ & e3 = op(unit,e3)+ & e2 = op(e2,unit)+ & e2 = op(unit,e2)+ & e1 = op(e1,unit)+ & e1 = op(unit,e1)+ & e0 = op(e0,unit)+ & e0 = op(unit,e0)+ & ( e3 = op(e3,e3)+ | e2 = op(e3,e3)+ | e1 = op(e3,e3)+ | e0 = op(e3,e3) )+ & ( e3 = op(e3,e2)+ | e2 = op(e3,e2)+ | e1 = op(e3,e2)+ | e0 = op(e3,e2) )+ & ( e3 = op(e3,e1)+ | e2 = op(e3,e1)+ | e1 = op(e3,e1)+ | e0 = op(e3,e1) )+ & ( e3 = op(e3,e0)+ | e2 = op(e3,e0)+ | e1 = op(e3,e0)+ | e0 = op(e3,e0) )+ & ( e3 = op(e2,e3)+ | e2 = op(e2,e3)+ | e1 = op(e2,e3)+ | e0 = op(e2,e3) )+ & ( e3 = op(e2,e2)+ | e2 = op(e2,e2)+ | e1 = op(e2,e2)+ | e0 = op(e2,e2) )+ & ( e3 = op(e2,e1)+ | e2 = op(e2,e1)+ | e1 = op(e2,e1)+ | e0 = op(e2,e1) )+ & ( e3 = op(e2,e0)+ | e2 = op(e2,e0)+ | e1 = op(e2,e0)+ | e0 = op(e2,e0) )+ & ( e3 = op(e1,e3)+ | e2 = op(e1,e3)+ | e1 = op(e1,e3)+ | e0 = op(e1,e3) )+ & ( e3 = op(e1,e2)+ | e2 = op(e1,e2)+ | e1 = op(e1,e2)+ | e0 = op(e1,e2) )+ & ( e3 = op(e1,e1)+ | e2 = op(e1,e1)+ | e1 = op(e1,e1)+ | e0 = op(e1,e1) )+ & ( e3 = op(e1,e0)+ | e2 = op(e1,e0)+ | e1 = op(e1,e0)+ | e0 = op(e1,e0) )+ & ( e3 = op(e0,e3)+ | e2 = op(e0,e3)+ | e1 = op(e0,e3)+ | e0 = op(e0,e3) )+ & ( e3 = op(e0,e2)+ | e2 = op(e0,e2)+ | e1 = op(e0,e2)+ | e0 = op(e0,e2) )+ & ( e3 = op(e0,e1)+ | e2 = op(e0,e1)+ | e1 = op(e0,e1)+ | e0 = op(e0,e1) )+ & ( e3 = op(e0,e0)+ | e2 = op(e0,e0)+ | e1 = op(e0,e0)+ | e0 = op(e0,e0) )+ & ( ( e3 = op(e3,e3)+ & e3 = op(e2,e2)+ & e3 = op(e1,e1)+ & e3 = op(e0,e0) )+ | ( e2 = op(e3,e3)+ & e2 = op(e2,e2)+ & e2 = op(e1,e1)+ & e2 = op(e0,e0) )+ | ( e1 = op(e3,e3)+ & e1 = op(e2,e2)+ & e1 = op(e1,e1)+ & e1 = op(e0,e0) )+ | ( e0 = op(e3,e3)+ & e0 = op(e2,e2)+ & e0 = op(e1,e1)+ & e0 = op(e0,e0) ) ) ),+ file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).++fof(f5,negated_conjecture,(+ ~ ( ( e3 = op(e3,e3)+ | e3 = op(e2,e3)+ | e3 = op(e1,e3)+ | e3 = op(e0,e3) )+ & ( e3 = op(e3,e3)+ | e3 = op(e3,e2)+ | e3 = op(e3,e1)+ | e3 = op(e3,e0) )+ & ( e2 = op(e3,e3)+ | e2 = op(e2,e3)+ | e2 = op(e1,e3)+ | e2 = op(e0,e3) )+ & ( e2 = op(e3,e3)+ | e2 = op(e3,e2)+ | e2 = op(e3,e1)+ | e2 = op(e3,e0) )+ & ( e1 = op(e3,e3)+ | e1 = op(e2,e3)+ | e1 = op(e1,e3)+ | e1 = op(e0,e3) )+ & ( e1 = op(e3,e3)+ | e1 = op(e3,e2)+ | e1 = op(e3,e1)+ | e1 = op(e3,e0) )+ & ( e0 = op(e3,e3)+ | e0 = op(e2,e3)+ | e0 = op(e1,e3)+ | e0 = op(e0,e3) )+ & ( e0 = op(e3,e3)+ | e0 = op(e3,e2)+ | e0 = op(e3,e1)+ | e0 = op(e3,e0) )+ & ( e3 = op(e3,e2)+ | e3 = op(e2,e2)+ | e3 = op(e1,e2)+ | e3 = op(e0,e2) )+ & ( e3 = op(e2,e3)+ | e3 = op(e2,e2)+ | e3 = op(e2,e1)+ | e3 = op(e2,e0) )+ & ( e2 = op(e3,e2)+ | e2 = op(e2,e2)+ | e2 = op(e1,e2)+ | e2 = op(e0,e2) )+ & ( e2 = op(e2,e3)+ | e2 = op(e2,e2)+ | e2 = op(e2,e1)+ | e2 = op(e2,e0) )+ & ( e1 = op(e3,e2)+ | e1 = op(e2,e2)+ | e1 = op(e1,e2)+ | e1 = op(e0,e2) )+ & ( e1 = op(e2,e3)+ | e1 = op(e2,e2)+ | e1 = op(e2,e1)+ | e1 = op(e2,e0) )+ & ( e0 = op(e3,e2)+ | e0 = op(e2,e2)+ | e0 = op(e1,e2)+ | e0 = op(e0,e2) )+ & ( e0 = op(e2,e3)+ | e0 = op(e2,e2)+ | e0 = op(e2,e1)+ | e0 = op(e2,e0) )+ & ( e3 = op(e3,e1)+ | e3 = op(e2,e1)+ | e3 = op(e1,e1)+ | e3 = op(e0,e1) )+ & ( e3 = op(e1,e3)+ | e3 = op(e1,e2)+ | e3 = op(e1,e1)+ | e3 = op(e1,e0) )+ & ( e2 = op(e3,e1)+ | e2 = op(e2,e1)+ | e2 = op(e1,e1)+ | e2 = op(e0,e1) )+ & ( e2 = op(e1,e3)+ | e2 = op(e1,e2)+ | e2 = op(e1,e1)+ | e2 = op(e1,e0) )+ & ( e1 = op(e3,e1)+ | e1 = op(e2,e1)+ | e1 = op(e1,e1)+ | e1 = op(e0,e1) )+ & ( e1 = op(e1,e3)+ | e1 = op(e1,e2)+ | e1 = op(e1,e1)+ | e1 = op(e1,e0) )+ & ( e0 = op(e3,e1)+ | e0 = op(e2,e1)+ | e0 = op(e1,e1)+ | e0 = op(e0,e1) )+ & ( e0 = op(e1,e3)+ | e0 = op(e1,e2)+ | e0 = op(e1,e1)+ | e0 = op(e1,e0) )+ & ( e3 = op(e3,e0)+ | e3 = op(e2,e0)+ | e3 = op(e1,e0)+ | e3 = op(e0,e0) )+ & ( e3 = op(e0,e3)+ | e3 = op(e0,e2)+ | e3 = op(e0,e1)+ | e3 = op(e0,e0) )+ & ( e2 = op(e3,e0)+ | e2 = op(e2,e0)+ | e2 = op(e1,e0)+ | e2 = op(e0,e0) )+ & ( e2 = op(e0,e3)+ | e2 = op(e0,e2)+ | e2 = op(e0,e1)+ | e2 = op(e0,e0) )+ & ( e1 = op(e3,e0)+ | e1 = op(e2,e0)+ | e1 = op(e1,e0)+ | e1 = op(e0,e0) )+ & ( e1 = op(e0,e3)+ | e1 = op(e0,e2)+ | e1 = op(e0,e1)+ | e1 = op(e0,e0) )+ & ( e0 = op(e3,e0)+ | e0 = op(e2,e0)+ | e0 = op(e1,e0)+ | e0 = op(e0,e0) )+ & ( e0 = op(e0,e3)+ | e0 = op(e0,e2)+ | e0 = op(e0,e1)+ | e0 = op(e0,e0) )+ & ( e3 = unit+ | e2 = unit+ | e1 = unit+ | e0 = unit )+ & e3 = op(e3,unit)+ & e3 = op(unit,e3)+ & e2 = op(e2,unit)+ & e2 = op(unit,e2)+ & e1 = op(e1,unit)+ & e1 = op(unit,e1)+ & e0 = op(e0,unit)+ & e0 = op(unit,e0)+ & ( e3 = op(e3,e3)+ | e2 = op(e3,e3)+ | e1 = op(e3,e3)+ | e0 = op(e3,e3) )+ & ( e3 = op(e3,e2)+ | e2 = op(e3,e2)+ | e1 = op(e3,e2)+ | e0 = op(e3,e2) )+ & ( e3 = op(e3,e1)+ | e2 = op(e3,e1)+ | e1 = op(e3,e1)+ | e0 = op(e3,e1) )+ & ( e3 = op(e3,e0)+ | e2 = op(e3,e0)+ | e1 = op(e3,e0)+ | e0 = op(e3,e0) )+ & ( e3 = op(e2,e3)+ | e2 = op(e2,e3)+ | e1 = op(e2,e3)+ | e0 = op(e2,e3) )+ & ( e3 = op(e2,e2)+ | e2 = op(e2,e2)+ | e1 = op(e2,e2)+ | e0 = op(e2,e2) )+ & ( e3 = op(e2,e1)+ | e2 = op(e2,e1)+ | e1 = op(e2,e1)+ | e0 = op(e2,e1) )+ & ( e3 = op(e2,e0)+ | e2 = op(e2,e0)+ | e1 = op(e2,e0)+ | e0 = op(e2,e0) )+ & ( e3 = op(e1,e3)+ | e2 = op(e1,e3)+ | e1 = op(e1,e3)+ | e0 = op(e1,e3) )+ & ( e3 = op(e1,e2)+ | e2 = op(e1,e2)+ | e1 = op(e1,e2)+ | e0 = op(e1,e2) )+ & ( e3 = op(e1,e1)+ | e2 = op(e1,e1)+ | e1 = op(e1,e1)+ | e0 = op(e1,e1) )+ & ( e3 = op(e1,e0)+ | e2 = op(e1,e0)+ | e1 = op(e1,e0)+ | e0 = op(e1,e0) )+ & ( e3 = op(e0,e3)+ | e2 = op(e0,e3)+ | e1 = op(e0,e3)+ | e0 = op(e0,e3) )+ & ( e3 = op(e0,e2)+ | e2 = op(e0,e2)+ | e1 = op(e0,e2)+ | e0 = op(e0,e2) )+ & ( e3 = op(e0,e1)+ | e2 = op(e0,e1)+ | e1 = op(e0,e1)+ | e0 = op(e0,e1) )+ & ( e3 = op(e0,e0)+ | e2 = op(e0,e0)+ | e1 = op(e0,e0)+ | e0 = op(e0,e0) )+ & ( ( e3 = op(e3,e3)+ & e3 = op(e2,e2)+ & e3 = op(e1,e1)+ & e3 = op(e0,e0) )+ | ( e2 = op(e3,e3)+ & e2 = op(e2,e2)+ & e2 = op(e1,e1)+ & e2 = op(e0,e0) )+ | ( e1 = op(e3,e3)+ & e1 = op(e2,e2)+ & e1 = op(e1,e1)+ & e1 = op(e0,e0) )+ | ( e0 = op(e3,e3)+ & e0 = op(e2,e2)+ & e0 = op(e1,e1)+ & e0 = op(e0,e0) ) ) ) ),+ inference(negated_conjecture,[],[f4])).++fof(f6,plain,+ ( ( e3 != op(e3,e3)+ & e3 != op(e2,e3)+ & e3 != op(e1,e3)+ & e3 != op(e0,e3) )+ | ( e3 != op(e3,e3)+ & e3 != op(e3,e2)+ & e3 != op(e3,e1)+ & e3 != op(e3,e0) )+ | ( e2 != op(e3,e3)+ & e2 != op(e2,e3)+ & e2 != op(e1,e3)+ & e2 != op(e0,e3) )+ | ( e2 != op(e3,e3)+ & e2 != op(e3,e2)+ & e2 != op(e3,e1)+ & e2 != op(e3,e0) )+ | ( e1 != op(e3,e3)+ & e1 != op(e2,e3)+ & e1 != op(e1,e3)+ & e1 != op(e0,e3) )+ | ( e1 != op(e3,e3)+ & e1 != op(e3,e2)+ & e1 != op(e3,e1)+ & e1 != op(e3,e0) )+ | ( e0 != op(e3,e3)+ & e0 != op(e2,e3)+ & e0 != op(e1,e3)+ & e0 != op(e0,e3) )+ | ( e0 != op(e3,e3)+ & e0 != op(e3,e2)+ & e0 != op(e3,e1)+ & e0 != op(e3,e0) )+ | ( e3 != op(e3,e2)+ & e3 != op(e2,e2)+ & e3 != op(e1,e2)+ & e3 != op(e0,e2) )+ | ( e3 != op(e2,e3)+ & e3 != op(e2,e2)+ & e3 != op(e2,e1)+ & e3 != op(e2,e0) )+ | ( e2 != op(e3,e2)+ & e2 != op(e2,e2)+ & e2 != op(e1,e2)+ & e2 != op(e0,e2) )+ | ( e2 != op(e2,e3)+ & e2 != op(e2,e2)+ & e2 != op(e2,e1)+ & e2 != op(e2,e0) )+ | ( e1 != op(e3,e2)+ & e1 != op(e2,e2)+ & e1 != op(e1,e2)+ & e1 != op(e0,e2) )+ | ( e1 != op(e2,e3)+ & e1 != op(e2,e2)+ & e1 != op(e2,e1)+ & e1 != op(e2,e0) )+ | ( e0 != op(e3,e2)+ & e0 != op(e2,e2)+ & e0 != op(e1,e2)+ & e0 != op(e0,e2) )+ | ( e0 != op(e2,e3)+ & e0 != op(e2,e2)+ & e0 != op(e2,e1)+ & e0 != op(e2,e0) )+ | ( e3 != op(e3,e1)+ & e3 != op(e2,e1)+ & e3 != op(e1,e1)+ & e3 != op(e0,e1) )+ | ( e3 != op(e1,e3)+ & e3 != op(e1,e2)+ & e3 != op(e1,e1)+ & e3 != op(e1,e0) )+ | ( e2 != op(e3,e1)+ & e2 != op(e2,e1)+ & e2 != op(e1,e1)+ & e2 != op(e0,e1) )+ | ( e2 != op(e1,e3)+ & e2 != op(e1,e2)+ & e2 != op(e1,e1)+ & e2 != op(e1,e0) )+ | ( e1 != op(e3,e1)+ & e1 != op(e2,e1)+ & e1 != op(e1,e1)+ & e1 != op(e0,e1) )+ | ( e1 != op(e1,e3)+ & e1 != op(e1,e2)+ & e1 != op(e1,e1)+ & e1 != op(e1,e0) )+ | ( e0 != op(e3,e1)+ & e0 != op(e2,e1)+ & e0 != op(e1,e1)+ & e0 != op(e0,e1) )+ | ( e0 != op(e1,e3)+ & e0 != op(e1,e2)+ & e0 != op(e1,e1)+ & e0 != op(e1,e0) )+ | ( e3 != op(e3,e0)+ & e3 != op(e2,e0)+ & e3 != op(e1,e0)+ & e3 != op(e0,e0) )+ | ( e3 != op(e0,e3)+ & e3 != op(e0,e2)+ & e3 != op(e0,e1)+ & e3 != op(e0,e0) )+ | ( e2 != op(e3,e0)+ & e2 != op(e2,e0)+ & e2 != op(e1,e0)+ & e2 != op(e0,e0) )+ | ( e2 != op(e0,e3)+ & e2 != op(e0,e2)+ & e2 != op(e0,e1)+ & e2 != op(e0,e0) )+ | ( e1 != op(e3,e0)+ & e1 != op(e2,e0)+ & e1 != op(e1,e0)+ & e1 != op(e0,e0) )+ | ( e1 != op(e0,e3)+ & e1 != op(e0,e2)+ & e1 != op(e0,e1)+ & e1 != op(e0,e0) )+ | ( e0 != op(e3,e0)+ & e0 != op(e2,e0)+ & e0 != op(e1,e0)+ & e0 != op(e0,e0) )+ | ( e0 != op(e0,e3)+ & e0 != op(e0,e2)+ & e0 != op(e0,e1)+ & e0 != op(e0,e0) )+ | ( e3 != unit+ & e2 != unit+ & e1 != unit+ & e0 != unit )+ | e3 != op(e3,unit)+ | e3 != op(unit,e3)+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | e0 != op(e0,unit)+ | e0 != op(unit,e0)+ | ( e3 != op(e3,e3)+ & e2 != op(e3,e3)+ & e1 != op(e3,e3)+ & e0 != op(e3,e3) )+ | ( e3 != op(e3,e2)+ & e2 != op(e3,e2)+ & e1 != op(e3,e2)+ & e0 != op(e3,e2) )+ | ( e3 != op(e3,e1)+ & e2 != op(e3,e1)+ & e1 != op(e3,e1)+ & e0 != op(e3,e1) )+ | ( e3 != op(e3,e0)+ & e2 != op(e3,e0)+ & e1 != op(e3,e0)+ & e0 != op(e3,e0) )+ | ( e3 != op(e2,e3)+ & e2 != op(e2,e3)+ & e1 != op(e2,e3)+ & e0 != op(e2,e3) )+ | ( e3 != op(e2,e2)+ & e2 != op(e2,e2)+ & e1 != op(e2,e2)+ & e0 != op(e2,e2) )+ | ( e3 != op(e2,e1)+ & e2 != op(e2,e1)+ & e1 != op(e2,e1)+ & e0 != op(e2,e1) )+ | ( e3 != op(e2,e0)+ & e2 != op(e2,e0)+ & e1 != op(e2,e0)+ & e0 != op(e2,e0) )+ | ( e3 != op(e1,e3)+ & e2 != op(e1,e3)+ & e1 != op(e1,e3)+ & e0 != op(e1,e3) )+ | ( e3 != op(e1,e2)+ & e2 != op(e1,e2)+ & e1 != op(e1,e2)+ & e0 != op(e1,e2) )+ | ( e3 != op(e1,e1)+ & e2 != op(e1,e1)+ & e1 != op(e1,e1)+ & e0 != op(e1,e1) )+ | ( e3 != op(e1,e0)+ & e2 != op(e1,e0)+ & e1 != op(e1,e0)+ & e0 != op(e1,e0) )+ | ( e3 != op(e0,e3)+ & e2 != op(e0,e3)+ & e1 != op(e0,e3)+ & e0 != op(e0,e3) )+ | ( e3 != op(e0,e2)+ & e2 != op(e0,e2)+ & e1 != op(e0,e2)+ & e0 != op(e0,e2) )+ | ( e3 != op(e0,e1)+ & e2 != op(e0,e1)+ & e1 != op(e0,e1)+ & e0 != op(e0,e1) )+ | ( e3 != op(e0,e0)+ & e2 != op(e0,e0)+ & e1 != op(e0,e0)+ & e0 != op(e0,e0) )+ | ( ( e3 != op(e3,e3)+ | e3 != op(e2,e2)+ | e3 != op(e1,e1)+ | e3 != op(e0,e0) )+ & ( e2 != op(e3,e3)+ | e2 != op(e2,e2)+ | e2 != op(e1,e1)+ | e2 != op(e0,e0) )+ & ( e1 != op(e3,e3)+ | e1 != op(e2,e2)+ | e1 != op(e1,e1)+ | e1 != op(e0,e0) )+ & ( e0 != op(e3,e3)+ | e0 != op(e2,e2)+ | e0 != op(e1,e1)+ | e0 != op(e0,e0) ) ) ),+ inference(ennf_transformation,[],[f5])).++fof(f7,plain,+ ( ( ( e3 != op(e3,e3)+ | e3 != op(e2,e2)+ | e3 != op(e1,e1)+ | e3 != op(e0,e0) )+ & ( e2 != op(e3,e3)+ | e2 != op(e2,e2)+ | e2 != op(e1,e1)+ | e2 != op(e0,e0) )+ & ( e1 != op(e3,e3)+ | e1 != op(e2,e2)+ | e1 != op(e1,e1)+ | e1 != op(e0,e0) )+ & ( e0 != op(e3,e3)+ | e0 != op(e2,e2)+ | e0 != op(e1,e1)+ | e0 != op(e0,e0) ) )+ | ~ sP0 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).++fof(f8,plain,+ ( ( e3 != op(e0,e0)+ & e2 != op(e0,e0)+ & e1 != op(e0,e0)+ & e0 != op(e0,e0) )+ | ~ sP1 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])).++fof(f9,plain,+ ( ( e3 != op(e0,e1)+ & e2 != op(e0,e1)+ & e1 != op(e0,e1)+ & e0 != op(e0,e1) )+ | ~ sP2 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])).++fof(f10,plain,+ ( ( e3 != op(e0,e2)+ & e2 != op(e0,e2)+ & e1 != op(e0,e2)+ & e0 != op(e0,e2) )+ | ~ sP3 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])).++fof(f11,plain,+ ( ( e3 != op(e0,e3)+ & e2 != op(e0,e3)+ & e1 != op(e0,e3)+ & e0 != op(e0,e3) )+ | ~ sP4 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])).++fof(f12,plain,+ ( ( e3 != op(e1,e0)+ & e2 != op(e1,e0)+ & e1 != op(e1,e0)+ & e0 != op(e1,e0) )+ | ~ sP5 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])).++fof(f13,plain,+ ( ( e3 != op(e1,e1)+ & e2 != op(e1,e1)+ & e1 != op(e1,e1)+ & e0 != op(e1,e1) )+ | ~ sP6 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])).++fof(f14,plain,+ ( ( e3 != op(e1,e2)+ & e2 != op(e1,e2)+ & e1 != op(e1,e2)+ & e0 != op(e1,e2) )+ | ~ sP7 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])])).++fof(f15,plain,+ ( ( e3 != op(e1,e3)+ & e2 != op(e1,e3)+ & e1 != op(e1,e3)+ & e0 != op(e1,e3) )+ | ~ sP8 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])])).++fof(f16,plain,+ ( ( e3 != op(e2,e0)+ & e2 != op(e2,e0)+ & e1 != op(e2,e0)+ & e0 != op(e2,e0) )+ | ~ sP9 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])])).++fof(f17,plain,+ ( ( e3 != op(e2,e1)+ & e2 != op(e2,e1)+ & e1 != op(e2,e1)+ & e0 != op(e2,e1) )+ | ~ sP10 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])])).++fof(f18,plain,+ ( ( e3 != op(e2,e2)+ & e2 != op(e2,e2)+ & e1 != op(e2,e2)+ & e0 != op(e2,e2) )+ | ~ sP11 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])])).++fof(f19,plain,+ ( ( e3 != op(e2,e3)+ & e2 != op(e2,e3)+ & e1 != op(e2,e3)+ & e0 != op(e2,e3) )+ | ~ sP12 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])])).++fof(f20,plain,+ ( ( e3 != op(e3,e0)+ & e2 != op(e3,e0)+ & e1 != op(e3,e0)+ & e0 != op(e3,e0) )+ | ~ sP13 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])])).++fof(f21,plain,+ ( ( e3 != op(e3,e1)+ & e2 != op(e3,e1)+ & e1 != op(e3,e1)+ & e0 != op(e3,e1) )+ | ~ sP14 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])])).++fof(f22,plain,+ ( ( e3 != op(e3,e2)+ & e2 != op(e3,e2)+ & e1 != op(e3,e2)+ & e0 != op(e3,e2) )+ | ~ sP15 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])])).++fof(f23,plain,+ ( ( e3 != op(e3,e3)+ & e2 != op(e3,e3)+ & e1 != op(e3,e3)+ & e0 != op(e3,e3) )+ | ~ sP16 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])])).++fof(f24,plain,+ ( ( e3 != unit+ & e2 != unit+ & e1 != unit+ & e0 != unit )+ | ~ sP17 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])])).++fof(f25,plain,+ ( ( e0 != op(e0,e3)+ & e0 != op(e0,e2)+ & e0 != op(e0,e1)+ & e0 != op(e0,e0) )+ | ~ sP18 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])])).++fof(f26,plain,+ ( ( e0 != op(e3,e0)+ & e0 != op(e2,e0)+ & e0 != op(e1,e0)+ & e0 != op(e0,e0) )+ | ~ sP19 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])])).++fof(f27,plain,+ ( ( e1 != op(e0,e3)+ & e1 != op(e0,e2)+ & e1 != op(e0,e1)+ & e1 != op(e0,e0) )+ | ~ sP20 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])])).++fof(f28,plain,+ ( ( e1 != op(e3,e0)+ & e1 != op(e2,e0)+ & e1 != op(e1,e0)+ & e1 != op(e0,e0) )+ | ~ sP21 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])])).++fof(f29,plain,+ ( ( e2 != op(e0,e3)+ & e2 != op(e0,e2)+ & e2 != op(e0,e1)+ & e2 != op(e0,e0) )+ | ~ sP22 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])])).++fof(f30,plain,+ ( ( e2 != op(e3,e0)+ & e2 != op(e2,e0)+ & e2 != op(e1,e0)+ & e2 != op(e0,e0) )+ | ~ sP23 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])])).++fof(f31,plain,+ ( ( e3 != op(e0,e3)+ & e3 != op(e0,e2)+ & e3 != op(e0,e1)+ & e3 != op(e0,e0) )+ | ~ sP24 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])])).++fof(f32,plain,+ ( ( e3 != op(e3,e0)+ & e3 != op(e2,e0)+ & e3 != op(e1,e0)+ & e3 != op(e0,e0) )+ | ~ sP25 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])])).++fof(f33,plain,+ ( ( e0 != op(e1,e3)+ & e0 != op(e1,e2)+ & e0 != op(e1,e1)+ & e0 != op(e1,e0) )+ | ~ sP26 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])])).++fof(f34,plain,+ ( ( e0 != op(e3,e1)+ & e0 != op(e2,e1)+ & e0 != op(e1,e1)+ & e0 != op(e0,e1) )+ | ~ sP27 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])])).++fof(f35,plain,+ ( ( e1 != op(e1,e3)+ & e1 != op(e1,e2)+ & e1 != op(e1,e1)+ & e1 != op(e1,e0) )+ | ~ sP28 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])])).++fof(f36,plain,+ ( ( e1 != op(e3,e1)+ & e1 != op(e2,e1)+ & e1 != op(e1,e1)+ & e1 != op(e0,e1) )+ | ~ sP29 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])])).++fof(f37,plain,+ ( ( e2 != op(e1,e3)+ & e2 != op(e1,e2)+ & e2 != op(e1,e1)+ & e2 != op(e1,e0) )+ | ~ sP30 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])])).++fof(f38,plain,+ ( ( e2 != op(e3,e1)+ & e2 != op(e2,e1)+ & e2 != op(e1,e1)+ & e2 != op(e0,e1) )+ | ~ sP31 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])])).++fof(f39,plain,+ ( ( e3 != op(e1,e3)+ & e3 != op(e1,e2)+ & e3 != op(e1,e1)+ & e3 != op(e1,e0) )+ | ~ sP32 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])])).++fof(f40,plain,+ ( ( e3 != op(e3,e1)+ & e3 != op(e2,e1)+ & e3 != op(e1,e1)+ & e3 != op(e0,e1) )+ | ~ sP33 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])])).++fof(f41,plain,+ ( ( e0 != op(e2,e3)+ & e0 != op(e2,e2)+ & e0 != op(e2,e1)+ & e0 != op(e2,e0) )+ | ~ sP34 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])])).++fof(f42,plain,+ ( ( e0 != op(e3,e2)+ & e0 != op(e2,e2)+ & e0 != op(e1,e2)+ & e0 != op(e0,e2) )+ | ~ sP35 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])])).++fof(f43,plain,+ ( ( e1 != op(e2,e3)+ & e1 != op(e2,e2)+ & e1 != op(e2,e1)+ & e1 != op(e2,e0) )+ | ~ sP36 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])])).++fof(f44,plain,+ ( ( e1 != op(e3,e2)+ & e1 != op(e2,e2)+ & e1 != op(e1,e2)+ & e1 != op(e0,e2) )+ | ~ sP37 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])])).++fof(f45,plain,+ ( ( e2 != op(e2,e3)+ & e2 != op(e2,e2)+ & e2 != op(e2,e1)+ & e2 != op(e2,e0) )+ | ~ sP38 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])])).++fof(f46,plain,+ ( ( e2 != op(e3,e2)+ & e2 != op(e2,e2)+ & e2 != op(e1,e2)+ & e2 != op(e0,e2) )+ | ~ sP39 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])])).++fof(f47,plain,+ ( ( e3 != op(e2,e3)+ & e3 != op(e2,e2)+ & e3 != op(e2,e1)+ & e3 != op(e2,e0) )+ | ~ sP40 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])])).++fof(f48,plain,+ ( ( e3 != op(e3,e2)+ & e3 != op(e2,e2)+ & e3 != op(e1,e2)+ & e3 != op(e0,e2) )+ | ~ sP41 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])])).++fof(f49,plain,+ ( ( e0 != op(e3,e3)+ & e0 != op(e3,e2)+ & e0 != op(e3,e1)+ & e0 != op(e3,e0) )+ | ~ sP42 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])])).++fof(f50,plain,+ ( ( e0 != op(e3,e3)+ & e0 != op(e2,e3)+ & e0 != op(e1,e3)+ & e0 != op(e0,e3) )+ | ~ sP43 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])])).++fof(f51,plain,+ ( ( e1 != op(e3,e3)+ & e1 != op(e3,e2)+ & e1 != op(e3,e1)+ & e1 != op(e3,e0) )+ | ~ sP44 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])])).++fof(f52,plain,+ ( ( e1 != op(e3,e3)+ & e1 != op(e2,e3)+ & e1 != op(e1,e3)+ & e1 != op(e0,e3) )+ | ~ sP45 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])])).++fof(f53,plain,+ ( ( e2 != op(e3,e3)+ & e2 != op(e3,e2)+ & e2 != op(e3,e1)+ & e2 != op(e3,e0) )+ | ~ sP46 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])])).++fof(f54,plain,+ ( ( e3 != op(e3,e3)+ & e3 != op(e2,e3)+ & e3 != op(e1,e3)+ & e3 != op(e0,e3) )+ | ( e3 != op(e3,e3)+ & e3 != op(e3,e2)+ & e3 != op(e3,e1)+ & e3 != op(e3,e0) )+ | ( e2 != op(e3,e3)+ & e2 != op(e2,e3)+ & e2 != op(e1,e3)+ & e2 != op(e0,e3) )+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP29+ | sP28+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | sP20+ | sP19+ | sP18+ | sP17+ | e3 != op(e3,unit)+ | e3 != op(unit,e3)+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | e0 != op(e0,unit)+ | e0 != op(unit,e0)+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP2+ | sP1+ | sP0 ),+ inference(definition_folding,[],[f6,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7])).++fof(f55,plain,+ ( ( e2 != op(e3,e3)+ & e2 != op(e3,e2)+ & e2 != op(e3,e1)+ & e2 != op(e3,e0) )+ | ~ sP46 ),+ inference(nnf_transformation,[],[f53])).++fof(f56,plain,+ ( ( e1 != op(e3,e3)+ & e1 != op(e2,e3)+ & e1 != op(e1,e3)+ & e1 != op(e0,e3) )+ | ~ sP45 ),+ inference(nnf_transformation,[],[f52])).++fof(f57,plain,+ ( ( e1 != op(e3,e3)+ & e1 != op(e3,e2)+ & e1 != op(e3,e1)+ & e1 != op(e3,e0) )+ | ~ sP44 ),+ inference(nnf_transformation,[],[f51])).++fof(f58,plain,+ ( ( e0 != op(e3,e3)+ & e0 != op(e2,e3)+ & e0 != op(e1,e3)+ & e0 != op(e0,e3) )+ | ~ sP43 ),+ inference(nnf_transformation,[],[f50])).++fof(f59,plain,+ ( ( e0 != op(e3,e3)+ & e0 != op(e3,e2)+ & e0 != op(e3,e1)+ & e0 != op(e3,e0) )+ | ~ sP42 ),+ inference(nnf_transformation,[],[f49])).++fof(f60,plain,+ ( ( e3 != op(e3,e2)+ & e3 != op(e2,e2)+ & e3 != op(e1,e2)+ & e3 != op(e0,e2) )+ | ~ sP41 ),+ inference(nnf_transformation,[],[f48])).++fof(f61,plain,+ ( ( e3 != op(e2,e3)+ & e3 != op(e2,e2)+ & e3 != op(e2,e1)+ & e3 != op(e2,e0) )+ | ~ sP40 ),+ inference(nnf_transformation,[],[f47])).++fof(f62,plain,+ ( ( e2 != op(e3,e2)+ & e2 != op(e2,e2)+ & e2 != op(e1,e2)+ & e2 != op(e0,e2) )+ | ~ sP39 ),+ inference(nnf_transformation,[],[f46])).++fof(f63,plain,+ ( ( e2 != op(e2,e3)+ & e2 != op(e2,e2)+ & e2 != op(e2,e1)+ & e2 != op(e2,e0) )+ | ~ sP38 ),+ inference(nnf_transformation,[],[f45])).++fof(f64,plain,+ ( ( e1 != op(e3,e2)+ & e1 != op(e2,e2)+ & e1 != op(e1,e2)+ & e1 != op(e0,e2) )+ | ~ sP37 ),+ inference(nnf_transformation,[],[f44])).++fof(f65,plain,+ ( ( e1 != op(e2,e3)+ & e1 != op(e2,e2)+ & e1 != op(e2,e1)+ & e1 != op(e2,e0) )+ | ~ sP36 ),+ inference(nnf_transformation,[],[f43])).++fof(f66,plain,+ ( ( e0 != op(e3,e2)+ & e0 != op(e2,e2)+ & e0 != op(e1,e2)+ & e0 != op(e0,e2) )+ | ~ sP35 ),+ inference(nnf_transformation,[],[f42])).++fof(f67,plain,+ ( ( e0 != op(e2,e3)+ & e0 != op(e2,e2)+ & e0 != op(e2,e1)+ & e0 != op(e2,e0) )+ | ~ sP34 ),+ inference(nnf_transformation,[],[f41])).++fof(f68,plain,+ ( ( e3 != op(e3,e1)+ & e3 != op(e2,e1)+ & e3 != op(e1,e1)+ & e3 != op(e0,e1) )+ | ~ sP33 ),+ inference(nnf_transformation,[],[f40])).++fof(f69,plain,+ ( ( e3 != op(e1,e3)+ & e3 != op(e1,e2)+ & e3 != op(e1,e1)+ & e3 != op(e1,e0) )+ | ~ sP32 ),+ inference(nnf_transformation,[],[f39])).++fof(f70,plain,+ ( ( e2 != op(e3,e1)+ & e2 != op(e2,e1)+ & e2 != op(e1,e1)+ & e2 != op(e0,e1) )+ | ~ sP31 ),+ inference(nnf_transformation,[],[f38])).++fof(f71,plain,+ ( ( e2 != op(e1,e3)+ & e2 != op(e1,e2)+ & e2 != op(e1,e1)+ & e2 != op(e1,e0) )+ | ~ sP30 ),+ inference(nnf_transformation,[],[f37])).++fof(f72,plain,+ ( ( e1 != op(e3,e1)+ & e1 != op(e2,e1)+ & e1 != op(e1,e1)+ & e1 != op(e0,e1) )+ | ~ sP29 ),+ inference(nnf_transformation,[],[f36])).++fof(f73,plain,+ ( ( e1 != op(e1,e3)+ & e1 != op(e1,e2)+ & e1 != op(e1,e1)+ & e1 != op(e1,e0) )+ | ~ sP28 ),+ inference(nnf_transformation,[],[f35])).++fof(f74,plain,+ ( ( e0 != op(e3,e1)+ & e0 != op(e2,e1)+ & e0 != op(e1,e1)+ & e0 != op(e0,e1) )+ | ~ sP27 ),+ inference(nnf_transformation,[],[f34])).++fof(f75,plain,+ ( ( e0 != op(e1,e3)+ & e0 != op(e1,e2)+ & e0 != op(e1,e1)+ & e0 != op(e1,e0) )+ | ~ sP26 ),+ inference(nnf_transformation,[],[f33])).++fof(f76,plain,+ ( ( e3 != op(e3,e0)+ & e3 != op(e2,e0)+ & e3 != op(e1,e0)+ & e3 != op(e0,e0) )+ | ~ sP25 ),+ inference(nnf_transformation,[],[f32])).++fof(f77,plain,+ ( ( e3 != op(e0,e3)+ & e3 != op(e0,e2)+ & e3 != op(e0,e1)+ & e3 != op(e0,e0) )+ | ~ sP24 ),+ inference(nnf_transformation,[],[f31])).++fof(f78,plain,+ ( ( e2 != op(e3,e0)+ & e2 != op(e2,e0)+ & e2 != op(e1,e0)+ & e2 != op(e0,e0) )+ | ~ sP23 ),+ inference(nnf_transformation,[],[f30])).++fof(f79,plain,+ ( ( e2 != op(e0,e3)+ & e2 != op(e0,e2)+ & e2 != op(e0,e1)+ & e2 != op(e0,e0) )+ | ~ sP22 ),+ inference(nnf_transformation,[],[f29])).++fof(f80,plain,+ ( ( e1 != op(e3,e0)+ & e1 != op(e2,e0)+ & e1 != op(e1,e0)+ & e1 != op(e0,e0) )+ | ~ sP21 ),+ inference(nnf_transformation,[],[f28])).++fof(f81,plain,+ ( ( e1 != op(e0,e3)+ & e1 != op(e0,e2)+ & e1 != op(e0,e1)+ & e1 != op(e0,e0) )+ | ~ sP20 ),+ inference(nnf_transformation,[],[f27])).++fof(f82,plain,+ ( ( e0 != op(e3,e0)+ & e0 != op(e2,e0)+ & e0 != op(e1,e0)+ & e0 != op(e0,e0) )+ | ~ sP19 ),+ inference(nnf_transformation,[],[f26])).++fof(f83,plain,+ ( ( e0 != op(e0,e3)+ & e0 != op(e0,e2)+ & e0 != op(e0,e1)+ & e0 != op(e0,e0) )+ | ~ sP18 ),+ inference(nnf_transformation,[],[f25])).++fof(f84,plain,+ ( ( e3 != unit+ & e2 != unit+ & e1 != unit+ & e0 != unit )+ | ~ sP17 ),+ inference(nnf_transformation,[],[f24])).++fof(f85,plain,+ ( ( e3 != op(e3,e3)+ & e2 != op(e3,e3)+ & e1 != op(e3,e3)+ & e0 != op(e3,e3) )+ | ~ sP16 ),+ inference(nnf_transformation,[],[f23])).++fof(f86,plain,+ ( ( e3 != op(e3,e2)+ & e2 != op(e3,e2)+ & e1 != op(e3,e2)+ & e0 != op(e3,e2) )+ | ~ sP15 ),+ inference(nnf_transformation,[],[f22])).++fof(f87,plain,+ ( ( e3 != op(e3,e1)+ & e2 != op(e3,e1)+ & e1 != op(e3,e1)+ & e0 != op(e3,e1) )+ | ~ sP14 ),+ inference(nnf_transformation,[],[f21])).++fof(f88,plain,+ ( ( e3 != op(e3,e0)+ & e2 != op(e3,e0)+ & e1 != op(e3,e0)+ & e0 != op(e3,e0) )+ | ~ sP13 ),+ inference(nnf_transformation,[],[f20])).++fof(f89,plain,+ ( ( e3 != op(e2,e3)+ & e2 != op(e2,e3)+ & e1 != op(e2,e3)+ & e0 != op(e2,e3) )+ | ~ sP12 ),+ inference(nnf_transformation,[],[f19])).++fof(f90,plain,+ ( ( e3 != op(e2,e2)+ & e2 != op(e2,e2)+ & e1 != op(e2,e2)+ & e0 != op(e2,e2) )+ | ~ sP11 ),+ inference(nnf_transformation,[],[f18])).++fof(f91,plain,+ ( ( e3 != op(e2,e1)+ & e2 != op(e2,e1)+ & e1 != op(e2,e1)+ & e0 != op(e2,e1) )+ | ~ sP10 ),+ inference(nnf_transformation,[],[f17])).++fof(f92,plain,+ ( ( e3 != op(e2,e0)+ & e2 != op(e2,e0)+ & e1 != op(e2,e0)+ & e0 != op(e2,e0) )+ | ~ sP9 ),+ inference(nnf_transformation,[],[f16])).++fof(f93,plain,+ ( ( e3 != op(e1,e3)+ & e2 != op(e1,e3)+ & e1 != op(e1,e3)+ & e0 != op(e1,e3) )+ | ~ sP8 ),+ inference(nnf_transformation,[],[f15])).++fof(f94,plain,+ ( ( e3 != op(e1,e2)+ & e2 != op(e1,e2)+ & e1 != op(e1,e2)+ & e0 != op(e1,e2) )+ | ~ sP7 ),+ inference(nnf_transformation,[],[f14])).++fof(f95,plain,+ ( ( e3 != op(e1,e1)+ & e2 != op(e1,e1)+ & e1 != op(e1,e1)+ & e0 != op(e1,e1) )+ | ~ sP6 ),+ inference(nnf_transformation,[],[f13])).++fof(f96,plain,+ ( ( e3 != op(e1,e0)+ & e2 != op(e1,e0)+ & e1 != op(e1,e0)+ & e0 != op(e1,e0) )+ | ~ sP5 ),+ inference(nnf_transformation,[],[f12])).++fof(f97,plain,+ ( ( e3 != op(e0,e3)+ & e2 != op(e0,e3)+ & e1 != op(e0,e3)+ & e0 != op(e0,e3) )+ | ~ sP4 ),+ inference(nnf_transformation,[],[f11])).++fof(f98,plain,+ ( ( e3 != op(e0,e2)+ & e2 != op(e0,e2)+ & e1 != op(e0,e2)+ & e0 != op(e0,e2) )+ | ~ sP3 ),+ inference(nnf_transformation,[],[f10])).++fof(f99,plain,+ ( ( e3 != op(e0,e1)+ & e2 != op(e0,e1)+ & e1 != op(e0,e1)+ & e0 != op(e0,e1) )+ | ~ sP2 ),+ inference(nnf_transformation,[],[f9])).++fof(f100,plain,+ ( ( e3 != op(e0,e0)+ & e2 != op(e0,e0)+ & e1 != op(e0,e0)+ & e0 != op(e0,e0) )+ | ~ sP1 ),+ inference(nnf_transformation,[],[f8])).++fof(f101,plain,+ ( ( ( e3 != op(e3,e3)+ | e3 != op(e2,e2)+ | e3 != op(e1,e1)+ | e3 != op(e0,e0) )+ & ( e2 != op(e3,e3)+ | e2 != op(e2,e2)+ | e2 != op(e1,e1)+ | e2 != op(e0,e0) )+ & ( e1 != op(e3,e3)+ | e1 != op(e2,e2)+ | e1 != op(e1,e1)+ | e1 != op(e0,e0) )+ & ( e0 != op(e3,e3)+ | e0 != op(e2,e2)+ | e0 != op(e1,e1)+ | e0 != op(e0,e0) ) )+ | ~ sP0 ),+ inference(nnf_transformation,[],[f7])).++fof(f103,plain,+ ( e2 != op(e3,e1)+ | ~ sP46 ),+ inference(cnf_transformation,[],[f55])).++fof(f108,plain,+ ( e1 != op(e2,e3)+ | ~ sP45 ),+ inference(cnf_transformation,[],[f56])).++fof(f112,plain,+ ( e1 != op(e3,e2)+ | ~ sP44 ),+ inference(cnf_transformation,[],[f57])).++fof(f117,plain,+ ( e0 != op(e3,e3)+ | ~ sP43 ),+ inference(cnf_transformation,[],[f58])).++fof(f121,plain,+ ( e0 != op(e3,e3)+ | ~ sP42 ),+ inference(cnf_transformation,[],[f59])).++fof(f123,plain,+ ( e3 != op(e1,e2)+ | ~ sP41 ),+ inference(cnf_transformation,[],[f60])).++fof(f127,plain,+ ( e3 != op(e2,e1)+ | ~ sP40 ),+ inference(cnf_transformation,[],[f61])).++fof(f130,plain,+ ( e2 != op(e0,e2)+ | ~ sP39 ),+ inference(cnf_transformation,[],[f62])).++fof(f134,plain,+ ( e2 != op(e2,e0)+ | ~ sP38 ),+ inference(cnf_transformation,[],[f63])).++fof(f141,plain,+ ( e1 != op(e3,e2)+ | ~ sP37 ),+ inference(cnf_transformation,[],[f64])).++fof(f145,plain,+ ( e1 != op(e2,e3)+ | ~ sP36 ),+ inference(cnf_transformation,[],[f65])).++fof(f148,plain,+ ( e0 != op(e2,e2)+ | ~ sP35 ),+ inference(cnf_transformation,[],[f66])).++fof(f152,plain,+ ( e0 != op(e2,e2)+ | ~ sP34 ),+ inference(cnf_transformation,[],[f67])).++fof(f156,plain,+ ( e3 != op(e2,e1)+ | ~ sP33 ),+ inference(cnf_transformation,[],[f68])).++fof(f160,plain,+ ( e3 != op(e1,e2)+ | ~ sP32 ),+ inference(cnf_transformation,[],[f69])).++fof(f165,plain,+ ( e2 != op(e3,e1)+ | ~ sP31 ),+ inference(cnf_transformation,[],[f70])).++fof(f169,plain,+ ( e2 != op(e1,e3)+ | ~ sP30 ),+ inference(cnf_transformation,[],[f71])).++fof(f170,plain,+ ( e1 != op(e0,e1)+ | ~ sP29 ),+ inference(cnf_transformation,[],[f72])).++fof(f174,plain,+ ( e1 != op(e1,e0)+ | ~ sP28 ),+ inference(cnf_transformation,[],[f73])).++fof(f179,plain,+ ( e0 != op(e1,e1)+ | ~ sP27 ),+ inference(cnf_transformation,[],[f74])).++fof(f183,plain,+ ( e0 != op(e1,e1)+ | ~ sP26 ),+ inference(cnf_transformation,[],[f75])).++fof(f189,plain,+ ( e3 != op(e3,e0)+ | ~ sP25 ),+ inference(cnf_transformation,[],[f76])).++fof(f193,plain,+ ( e3 != op(e0,e3)+ | ~ sP24 ),+ inference(cnf_transformation,[],[f77])).++fof(f196,plain,+ ( e2 != op(e2,e0)+ | ~ sP23 ),+ inference(cnf_transformation,[],[f78])).++fof(f200,plain,+ ( e2 != op(e0,e2)+ | ~ sP22 ),+ inference(cnf_transformation,[],[f79])).++fof(f203,plain,+ ( e1 != op(e1,e0)+ | ~ sP21 ),+ inference(cnf_transformation,[],[f80])).++fof(f207,plain,+ ( e1 != op(e0,e1)+ | ~ sP20 ),+ inference(cnf_transformation,[],[f81])).++fof(f210,plain,+ ( e0 != op(e0,e0)+ | ~ sP19 ),+ inference(cnf_transformation,[],[f82])).++fof(f214,plain,+ ( e0 != op(e0,e0)+ | ~ sP18 ),+ inference(cnf_transformation,[],[f83])).++fof(f218,plain,+ ( e0 != unit+ | ~ sP17 ),+ inference(cnf_transformation,[],[f84])).++fof(f222,plain,+ ( e0 != op(e3,e3)+ | ~ sP16 ),+ inference(cnf_transformation,[],[f85])).++fof(f227,plain,+ ( e1 != op(e3,e2)+ | ~ sP15 ),+ inference(cnf_transformation,[],[f86])).++fof(f232,plain,+ ( e2 != op(e3,e1)+ | ~ sP14 ),+ inference(cnf_transformation,[],[f87])).++fof(f237,plain,+ ( e3 != op(e3,e0)+ | ~ sP13 ),+ inference(cnf_transformation,[],[f88])).++fof(f239,plain,+ ( e1 != op(e2,e3)+ | ~ sP12 ),+ inference(cnf_transformation,[],[f89])).++fof(f242,plain,+ ( e0 != op(e2,e2)+ | ~ sP11 ),+ inference(cnf_transformation,[],[f90])).++fof(f249,plain,+ ( e3 != op(e2,e1)+ | ~ sP10 ),+ inference(cnf_transformation,[],[f91])).++fof(f252,plain,+ ( e2 != op(e2,e0)+ | ~ sP9 ),+ inference(cnf_transformation,[],[f92])).++fof(f256,plain,+ ( e2 != op(e1,e3)+ | ~ sP8 ),+ inference(cnf_transformation,[],[f93])).++fof(f261,plain,+ ( e3 != op(e1,e2)+ | ~ sP7 ),+ inference(cnf_transformation,[],[f94])).++fof(f262,plain,+ ( e0 != op(e1,e1)+ | ~ sP6 ),+ inference(cnf_transformation,[],[f95])).++fof(f267,plain,+ ( e1 != op(e1,e0)+ | ~ sP5 ),+ inference(cnf_transformation,[],[f96])).++fof(f273,plain,+ ( e3 != op(e0,e3)+ | ~ sP4 ),+ inference(cnf_transformation,[],[f97])).++fof(f276,plain,+ ( e2 != op(e0,e2)+ | ~ sP3 ),+ inference(cnf_transformation,[],[f98])).++fof(f279,plain,+ ( e1 != op(e0,e1)+ | ~ sP2 ),+ inference(cnf_transformation,[],[f99])).++fof(f282,plain,+ ( e0 != op(e0,e0)+ | ~ sP1 ),+ inference(cnf_transformation,[],[f100])).++fof(f286,plain,+ ( e0 != op(e3,e3)+ | e0 != op(e2,e2)+ | e0 != op(e1,e1)+ | e0 != op(e0,e0)+ | ~ sP0 ),+ inference(cnf_transformation,[],[f101])).++fof(f291,plain,+ ( e3 != op(e0,e3)+ | e3 != op(e3,e0)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP29+ | sP28+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | sP20+ | sP19+ | sP18+ | sP17+ | e3 != op(e3,unit)+ | e3 != op(unit,e3)+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | e0 != op(e0,unit)+ | e0 != op(unit,e0)+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP2+ | sP1+ | sP0 ),+ inference(cnf_transformation,[],[f54])).++fof(f354,plain,(+ e0 = unit ),+ inference(cnf_transformation,[],[f3])).++fof(f361,plain,(+ e0 = op(e0,e0) ),+ inference(cnf_transformation,[],[f2])).++fof(f362,plain,(+ e1 = op(e0,e1) ),+ inference(cnf_transformation,[],[f2])).++fof(f363,plain,(+ e2 = op(e0,e2) ),+ inference(cnf_transformation,[],[f2])).++fof(f364,plain,(+ e3 = op(e0,e3) ),+ inference(cnf_transformation,[],[f2])).++fof(f365,plain,(+ e1 = op(e1,e0) ),+ inference(cnf_transformation,[],[f2])).++fof(f366,plain,(+ e0 = op(e1,e1) ),+ inference(cnf_transformation,[],[f2])).++fof(f367,plain,(+ e3 = op(e1,e2) ),+ inference(cnf_transformation,[],[f2])).++fof(f368,plain,(+ e2 = op(e1,e3) ),+ inference(cnf_transformation,[],[f2])).++fof(f369,plain,(+ e2 = op(e2,e0) ),+ inference(cnf_transformation,[],[f2])).++fof(f370,plain,(+ e3 = op(e2,e1) ),+ inference(cnf_transformation,[],[f2])).++fof(f371,plain,(+ e0 = op(e2,e2) ),+ inference(cnf_transformation,[],[f2])).++fof(f372,plain,(+ e1 = op(e2,e3) ),+ inference(cnf_transformation,[],[f2])).++fof(f373,plain,(+ e3 = op(e3,e0) ),+ inference(cnf_transformation,[],[f2])).++fof(f374,plain,(+ e2 = op(e3,e1) ),+ inference(cnf_transformation,[],[f2])).++fof(f375,plain,(+ e1 = op(e3,e2) ),+ inference(cnf_transformation,[],[f2])).++fof(f376,plain,(+ e0 = op(e3,e3) ),+ inference(cnf_transformation,[],[f2])).++fof(f380,plain,+ ( op(e3,e3) != unit+ | ~ sP43 ),+ inference(definition_unfolding,[],[f117,f354])).++fof(f384,plain,+ ( op(e3,e3) != unit+ | ~ sP42 ),+ inference(definition_unfolding,[],[f121,f354])).++fof(f390,plain,+ ( e2 != op(unit,e2)+ | ~ sP39 ),+ inference(definition_unfolding,[],[f130,f354])).++fof(f391,plain,+ ( e2 != op(e2,unit)+ | ~ sP38 ),+ inference(definition_unfolding,[],[f134,f354])).++fof(f395,plain,+ ( op(e2,e2) != unit+ | ~ sP35 ),+ inference(definition_unfolding,[],[f148,f354])).++fof(f399,plain,+ ( op(e2,e2) != unit+ | ~ sP34 ),+ inference(definition_unfolding,[],[f152,f354])).++fof(f406,plain,+ ( e1 != op(unit,e1)+ | ~ sP29 ),+ inference(definition_unfolding,[],[f170,f354])).++fof(f407,plain,+ ( e1 != op(e1,unit)+ | ~ sP28 ),+ inference(definition_unfolding,[],[f174,f354])).++fof(f410,plain,+ ( op(e1,e1) != unit+ | ~ sP27 ),+ inference(definition_unfolding,[],[f179,f354])).++fof(f414,plain,+ ( op(e1,e1) != unit+ | ~ sP26 ),+ inference(definition_unfolding,[],[f183,f354])).++fof(f416,plain,+ ( e3 != op(e3,unit)+ | ~ sP25 ),+ inference(definition_unfolding,[],[f189,f354])).++fof(f420,plain,+ ( e3 != op(unit,e3)+ | ~ sP24 ),+ inference(definition_unfolding,[],[f193,f354])).++fof(f425,plain,+ ( e2 != op(e2,unit)+ | ~ sP23 ),+ inference(definition_unfolding,[],[f196,f354])).++fof(f429,plain,+ ( e2 != op(unit,e2)+ | ~ sP22 ),+ inference(definition_unfolding,[],[f200,f354])).++fof(f434,plain,+ ( e1 != op(e1,unit)+ | ~ sP21 ),+ inference(definition_unfolding,[],[f203,f354])).++fof(f438,plain,+ ( e1 != op(unit,e1)+ | ~ sP20 ),+ inference(definition_unfolding,[],[f207,f354])).++fof(f443,plain,+ ( op(unit,unit) != unit+ | ~ sP19 ),+ inference(definition_unfolding,[],[f210,f354,f354,f354])).++fof(f447,plain,+ ( op(unit,unit) != unit+ | ~ sP18 ),+ inference(definition_unfolding,[],[f214,f354,f354,f354])).++fof(f448,plain,+ ( unit != unit+ | ~ sP17 ),+ inference(definition_unfolding,[],[f218,f354])).++fof(f449,plain,+ ( op(e3,e3) != unit+ | ~ sP16 ),+ inference(definition_unfolding,[],[f222,f354])).++fof(f452,plain,+ ( e3 != op(e3,unit)+ | ~ sP13 ),+ inference(definition_unfolding,[],[f237,f354])).++fof(f457,plain,+ ( op(e2,e2) != unit+ | ~ sP11 ),+ inference(definition_unfolding,[],[f242,f354])).++fof(f460,plain,+ ( e2 != op(e2,unit)+ | ~ sP9 ),+ inference(definition_unfolding,[],[f252,f354])).++fof(f465,plain,+ ( op(e1,e1) != unit+ | ~ sP6 ),+ inference(definition_unfolding,[],[f262,f354])).++fof(f468,plain,+ ( e1 != op(e1,unit)+ | ~ sP5 ),+ inference(definition_unfolding,[],[f267,f354])).++fof(f470,plain,+ ( e3 != op(unit,e3)+ | ~ sP4 ),+ inference(definition_unfolding,[],[f273,f354])).++fof(f475,plain,+ ( e2 != op(unit,e2)+ | ~ sP3 ),+ inference(definition_unfolding,[],[f276,f354])).++fof(f480,plain,+ ( e1 != op(unit,e1)+ | ~ sP2 ),+ inference(definition_unfolding,[],[f279,f354])).++fof(f485,plain,+ ( op(unit,unit) != unit+ | ~ sP1 ),+ inference(definition_unfolding,[],[f282,f354,f354,f354])).++fof(f489,plain,+ ( op(e3,e3) != unit+ | op(e2,e2) != unit+ | op(e1,e1) != unit+ | op(unit,unit) != unit+ | ~ sP0 ),+ inference(definition_unfolding,[],[f286,f354,f354,f354,f354,f354,f354])).++fof(f552,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP29+ | sP28+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | sP20+ | sP19+ | sP18+ | sP17+ | e3 != op(e3,unit)+ | e3 != op(unit,e3)+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP2+ | sP1+ | sP0 ),+ inference(definition_unfolding,[],[f291,f354,f354,f354,f354,f354,f354])).++fof(f557,plain,(+ op(e3,e3) = unit ),+ inference(definition_unfolding,[],[f376,f354])).++fof(f558,plain,(+ e3 = op(e3,unit) ),+ inference(definition_unfolding,[],[f373,f354])).++fof(f559,plain,(+ op(e2,e2) = unit ),+ inference(definition_unfolding,[],[f371,f354])).++fof(f560,plain,(+ e2 = op(e2,unit) ),+ inference(definition_unfolding,[],[f369,f354])).++fof(f561,plain,(+ op(e1,e1) = unit ),+ inference(definition_unfolding,[],[f366,f354])).++fof(f562,plain,(+ e1 = op(e1,unit) ),+ inference(definition_unfolding,[],[f365,f354])).++fof(f563,plain,(+ e3 = op(unit,e3) ),+ inference(definition_unfolding,[],[f364,f354])).++fof(f564,plain,(+ e2 = op(unit,e2) ),+ inference(definition_unfolding,[],[f363,f354])).++fof(f565,plain,(+ e1 = op(unit,e1) ),+ inference(definition_unfolding,[],[f362,f354])).++fof(f566,plain,(+ op(unit,unit) = unit ),+ inference(definition_unfolding,[],[f361,f354,f354,f354])).++fof(f568,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP29+ | sP28+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | sP20+ | sP19+ | sP18+ | sP17+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP2+ | sP1+ | sP0 ),+ inference(duplicate_literal_removal,[],[f552])).++fof(f631,plain,(+ ~ sP17 ),+ inference(trivial_inequality_removal,[],[f448])).++fof(f1912,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP29+ | sP28+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | sP20+ | sP19+ | sP18+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP2+ | sP1+ | sP0 ),+ inference(subsumption_resolution,[],[f568,f631])).++fof(f1913,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP29+ | sP28+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | sP20+ | sP19+ | sP18+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP2+ | sP0 ),+ inference(subsumption_resolution,[],[f1912,f485])).++fof(f1914,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP29+ | sP28+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | sP20+ | sP19+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP2+ | sP0 ),+ inference(subsumption_resolution,[],[f1913,f447])).++fof(f1915,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP29+ | sP28+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | sP20+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP2+ | sP0 ),+ inference(subsumption_resolution,[],[f1914,f443])).++fof(f1916,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP28+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | sP20+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP2+ | sP0 ),+ inference(subsumption_resolution,[],[f1915,f406])).++fof(f1917,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP28+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP2+ | sP0 ),+ inference(subsumption_resolution,[],[f1916,f438])).++fof(f1918,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP28+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP0 ),+ inference(subsumption_resolution,[],[f1917,f480])).++fof(f1919,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | sP21+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP0 ),+ inference(subsumption_resolution,[],[f1918,f407])).++fof(f1920,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP5+ | sP4+ | sP3+ | sP0 ),+ inference(subsumption_resolution,[],[f1919,f434])).++fof(f1921,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP39+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP4+ | sP3+ | sP0 ),+ inference(subsumption_resolution,[],[f1920,f468])).++fof(f1922,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | sP22+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP4+ | sP3+ | sP0 ),+ inference(subsumption_resolution,[],[f1921,f390])).++fof(f1923,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP4+ | sP3+ | sP0 ),+ inference(subsumption_resolution,[],[f1922,f429])).++fof(f1924,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP38+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP4+ | sP0 ),+ inference(subsumption_resolution,[],[f1923,f475])).++fof(f1925,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP27+ | sP26+ | sP25+ | sP24+ | sP23+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP4+ | sP0 ),+ inference(subsumption_resolution,[],[f1924,f391])).++fof(f1926,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP27+ | sP26+ | sP25+ | sP24+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP9+ | sP8+ | sP7+ | sP6+ | sP4+ | sP0 ),+ inference(subsumption_resolution,[],[f1925,f425])).++fof(f1927,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP30+ | sP27+ | sP26+ | sP25+ | sP24+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP8+ | sP7+ | sP6+ | sP4+ | sP0 ),+ inference(subsumption_resolution,[],[f1926,f460])).++fof(f1928,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | sP25+ | sP24+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP8+ | sP7+ | sP6+ | sP4+ | sP0 ),+ inference(subsumption_resolution,[],[f1927,f169])).++fof(f1929,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | sP25+ | sP24+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP4+ | sP0 ),+ inference(subsumption_resolution,[],[f1928,f256])).++fof(f1930,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | sP24+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP13+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP4+ | sP0 ),+ inference(subsumption_resolution,[],[f1929,f416])).++fof(f1931,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | sP24+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP4+ | sP0 ),+ inference(subsumption_resolution,[],[f1930,f452])).++fof(f1932,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP4+ | sP0 ),+ inference(subsumption_resolution,[],[f1931,f420])).++fof(f1933,plain,+ ( e3 != op(unit,e3)+ | e3 != op(e3,unit)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f1932,f470])).++fof(f1963,plain,+ ( unit != unit+ | ~ sP43 ),+ inference(backward_demodulation,[],[f557,f380])).++fof(f1964,plain,+ ( unit != unit+ | ~ sP42 ),+ inference(backward_demodulation,[],[f557,f384])).++fof(f1965,plain,+ ( unit != unit+ | ~ sP16 ),+ inference(backward_demodulation,[],[f557,f449])).++fof(f1969,plain,+ ( unit != unit+ | op(e2,e2) != unit+ | op(e1,e1) != unit+ | op(unit,unit) != unit+ | ~ sP0 ),+ inference(backward_demodulation,[],[f557,f489])).++fof(f1981,plain,+ ( op(e2,e2) != unit+ | op(e1,e1) != unit+ | op(unit,unit) != unit+ | ~ sP0 ),+ inference(trivial_inequality_removal,[],[f1969])).++fof(f1982,plain,(+ ~ sP16 ),+ inference(trivial_inequality_removal,[],[f1965])).++fof(f1983,plain,(+ ~ sP42 ),+ inference(trivial_inequality_removal,[],[f1964])).++fof(f1984,plain,(+ ~ sP43 ),+ inference(trivial_inequality_removal,[],[f1963])).++fof(f1986,plain,+ ( e1 != e1+ | ~ sP44 ),+ inference(backward_demodulation,[],[f375,f112])).++fof(f1989,plain,+ ( e1 != e1+ | ~ sP37 ),+ inference(backward_demodulation,[],[f375,f141])).++fof(f1990,plain,+ ( e1 != e1+ | ~ sP15 ),+ inference(backward_demodulation,[],[f375,f227])).++fof(f2000,plain,(+ ~ sP15 ),+ inference(trivial_inequality_removal,[],[f1990])).++fof(f2001,plain,(+ ~ sP37 ),+ inference(trivial_inequality_removal,[],[f1989])).++fof(f2002,plain,(+ ~ sP44 ),+ inference(trivial_inequality_removal,[],[f1986])).++fof(f2003,plain,+ ( e2 != e2+ | ~ sP46 ),+ inference(backward_demodulation,[],[f374,f103])).++fof(f2006,plain,+ ( e2 != e2+ | ~ sP31 ),+ inference(backward_demodulation,[],[f374,f165])).++fof(f2009,plain,+ ( e2 != e2+ | ~ sP14 ),+ inference(backward_demodulation,[],[f374,f232])).++fof(f2018,plain,(+ ~ sP14 ),+ inference(trivial_inequality_removal,[],[f2009])).++fof(f2019,plain,(+ ~ sP31 ),+ inference(trivial_inequality_removal,[],[f2006])).++fof(f2020,plain,(+ ~ sP46 ),+ inference(trivial_inequality_removal,[],[f2003])).++fof(f2035,plain,+ ( e3 != e3+ | e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(backward_demodulation,[],[f558,f1933])).++fof(f2036,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP46+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(trivial_inequality_removal,[],[f2035])).++fof(f2069,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP45+ | sP44+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2036,f2020])).++fof(f2070,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP45+ | sP43+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2069,f2002])).++fof(f2071,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP45+ | sP42+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2070,f1984])).++fof(f2072,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP45+ | sP41+ | sP40+ | sP37+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2071,f1983])).++fof(f2073,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP45+ | sP41+ | sP40+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP31+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2072,f2001])).++fof(f2074,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP45+ | sP41+ | sP40+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP16+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2073,f2019])).++fof(f2075,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP45+ | sP41+ | sP40+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP15+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2074,f1982])).++fof(f2076,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP45+ | sP41+ | sP40+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP14+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2075,f2000])).++fof(f2077,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP45+ | sP41+ | sP40+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP27+ | sP26+ | e2 != op(e2,unit)+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2076,f2018])).++fof(f2078,plain,+ ( e1 != e1+ | ~ sP45 ),+ inference(backward_demodulation,[],[f372,f108])).++fof(f2081,plain,+ ( e1 != e1+ | ~ sP36 ),+ inference(backward_demodulation,[],[f372,f145])).++fof(f2082,plain,+ ( e1 != e1+ | ~ sP12 ),+ inference(backward_demodulation,[],[f372,f239])).++fof(f2091,plain,(+ ~ sP12 ),+ inference(trivial_inequality_removal,[],[f2082])).++fof(f2092,plain,(+ ~ sP36 ),+ inference(trivial_inequality_removal,[],[f2081])).++fof(f2093,plain,(+ ~ sP45 ),+ inference(trivial_inequality_removal,[],[f2078])).++fof(f2103,plain,+ ( unit != unit+ | ~ sP35 ),+ inference(backward_demodulation,[],[f559,f395])).++fof(f2104,plain,+ ( unit != unit+ | ~ sP34 ),+ inference(backward_demodulation,[],[f559,f399])).++fof(f2105,plain,+ ( unit != unit+ | ~ sP11 ),+ inference(backward_demodulation,[],[f559,f457])).++fof(f2114,plain,+ ( unit != unit+ | op(e1,e1) != unit+ | op(unit,unit) != unit+ | ~ sP0 ),+ inference(backward_demodulation,[],[f559,f1981])).++fof(f2115,plain,+ ( op(e1,e1) != unit+ | op(unit,unit) != unit+ | ~ sP0 ),+ inference(trivial_inequality_removal,[],[f2114])).++fof(f2116,plain,(+ ~ sP11 ),+ inference(trivial_inequality_removal,[],[f2105])).++fof(f2117,plain,(+ ~ sP34 ),+ inference(trivial_inequality_removal,[],[f2104])).++fof(f2118,plain,(+ ~ sP35 ),+ inference(trivial_inequality_removal,[],[f2103])).++fof(f2119,plain,+ ( e3 != e3+ | ~ sP40 ),+ inference(backward_demodulation,[],[f370,f127])).++fof(f2122,plain,+ ( e3 != e3+ | ~ sP33 ),+ inference(backward_demodulation,[],[f370,f156])).++fof(f2127,plain,+ ( e3 != e3+ | ~ sP10 ),+ inference(backward_demodulation,[],[f370,f249])).++fof(f2135,plain,(+ ~ sP10 ),+ inference(trivial_inequality_removal,[],[f2127])).++fof(f2136,plain,(+ ~ sP33 ),+ inference(trivial_inequality_removal,[],[f2122])).++fof(f2137,plain,(+ ~ sP40 ),+ inference(trivial_inequality_removal,[],[f2119])).++fof(f2152,plain,+ ( e2 != e2+ | e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP45+ | sP41+ | sP40+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(backward_demodulation,[],[f560,f2077])).++fof(f2153,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP45+ | sP41+ | sP40+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(trivial_inequality_removal,[],[f2152])).++fof(f2159,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP41+ | sP40+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2153,f2093])).++fof(f2160,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP41+ | sP36+ | sP35+ | sP34+ | sP33+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2159,f2137])).++fof(f2161,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP41+ | sP35+ | sP34+ | sP33+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2160,f2092])).++fof(f2162,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP41+ | sP34+ | sP33+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2161,f2118])).++fof(f2163,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP41+ | sP33+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2162,f2117])).++fof(f2164,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP41+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP12+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2163,f2136])).++fof(f2165,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP41+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP11+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2164,f2091])).++fof(f2166,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP41+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP10+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2165,f2116])).++fof(f2167,plain,+ ( e3 != op(unit,e3)+ | e2 != op(e1,e3)+ | sP41+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2166,f2135])).++fof(f2178,plain,+ ( e2 != e2+ | e3 != op(unit,e3)+ | sP41+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP7+ | sP6+ | sP0 ),+ inference(backward_demodulation,[],[f368,f2167])).++fof(f2179,plain,+ ( e3 != op(unit,e3)+ | sP41+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(e1,unit)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP7+ | sP6+ | sP0 ),+ inference(trivial_inequality_removal,[],[f2178])).++fof(f2182,plain,+ ( e3 != e3+ | ~ sP41 ),+ inference(backward_demodulation,[],[f367,f123])).++fof(f2185,plain,+ ( e3 != e3+ | ~ sP32 ),+ inference(backward_demodulation,[],[f367,f160])).++fof(f2190,plain,+ ( e3 != e3+ | ~ sP7 ),+ inference(backward_demodulation,[],[f367,f261])).++fof(f2194,plain,(+ ~ sP7 ),+ inference(trivial_inequality_removal,[],[f2190])).++fof(f2195,plain,(+ ~ sP32 ),+ inference(trivial_inequality_removal,[],[f2185])).++fof(f2196,plain,(+ ~ sP41 ),+ inference(trivial_inequality_removal,[],[f2182])).++fof(f2206,plain,+ ( unit != unit+ | ~ sP27 ),+ inference(backward_demodulation,[],[f561,f410])).++fof(f2207,plain,+ ( unit != unit+ | ~ sP26 ),+ inference(backward_demodulation,[],[f561,f414])).++fof(f2208,plain,+ ( unit != unit+ | ~ sP6 ),+ inference(backward_demodulation,[],[f561,f465])).++fof(f2209,plain,+ ( unit != unit+ | op(unit,unit) != unit+ | ~ sP0 ),+ inference(backward_demodulation,[],[f561,f2115])).++fof(f2210,plain,+ ( op(unit,unit) != unit+ | ~ sP0 ),+ inference(trivial_inequality_removal,[],[f2209])).++fof(f2211,plain,(+ ~ sP6 ),+ inference(trivial_inequality_removal,[],[f2208])).++fof(f2212,plain,(+ ~ sP26 ),+ inference(trivial_inequality_removal,[],[f2207])).++fof(f2213,plain,(+ ~ sP27 ),+ inference(trivial_inequality_removal,[],[f2206])).++fof(f2226,plain,+ ( e1 != e1+ | e3 != op(unit,e3)+ | sP41+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP7+ | sP6+ | sP0 ),+ inference(backward_demodulation,[],[f562,f2179])).++fof(f2227,plain,+ ( e3 != op(unit,e3)+ | sP41+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP7+ | sP6+ | sP0 ),+ inference(trivial_inequality_removal,[],[f2226])).++fof(f2231,plain,+ ( e3 != op(unit,e3)+ | sP32+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2227,f2196])).++fof(f2232,plain,+ ( e3 != op(unit,e3)+ | sP27+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2231,f2195])).++fof(f2233,plain,+ ( e3 != op(unit,e3)+ | sP26+ | e2 != op(unit,e2)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2232,f2213])).++fof(f2234,plain,+ ( e3 != op(unit,e3)+ | e2 != op(unit,e2)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP7+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2233,f2212])).++fof(f2235,plain,+ ( e3 != op(unit,e3)+ | e2 != op(unit,e2)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP6+ | sP0 ),+ inference(subsumption_resolution,[],[f2234,f2194])).++fof(f2236,plain,+ ( e3 != op(unit,e3)+ | e2 != op(unit,e2)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit+ | sP0 ),+ inference(subsumption_resolution,[],[f2235,f2211])).++fof(f2237,plain,+ ( e3 != op(unit,e3)+ | e2 != op(unit,e2)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit ),+ inference(subsumption_resolution,[],[f2236,f2210])).++fof(f2248,plain,+ ( e3 != e3+ | e2 != op(unit,e2)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit ),+ inference(backward_demodulation,[],[f563,f2237])).++fof(f2249,plain,+ ( e2 != op(unit,e2)+ | e1 != op(unit,e1)+ | op(unit,unit) != unit ),+ inference(trivial_inequality_removal,[],[f2248])).++fof(f2264,plain,+ ( e2 != e2+ | e1 != op(unit,e1)+ | op(unit,unit) != unit ),+ inference(backward_demodulation,[],[f564,f2249])).++fof(f2265,plain,+ ( e1 != op(unit,e1)+ | op(unit,unit) != unit ),+ inference(trivial_inequality_removal,[],[f2264])).++fof(f2281,plain,+ ( e1 != e1+ | op(unit,unit) != unit ),+ inference(backward_demodulation,[],[f565,f2265])).++fof(f2282,plain,(+ op(unit,unit) != unit ),+ inference(trivial_inequality_removal,[],[f2281])).++fof(f2286,plain,(+ $false ),+ inference(subsumption_resolution,[],[f566,f2282])).+%------------------------------------------------------------------------------+%----ORIGINAL SYSTEM OUTPUT+% 0.00/0.03 % Problem : ALG043+1 : TPTP v7.1.0. Released v2.7.0.+% 0.00/0.04 % Command : vampire --mode casc -t %d %s+% 0.03/0.24 % Computer : n157.star.cs.uiowa.edu+% 0.03/0.24 % Model : x86_64 x86_64+% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz+% 0.03/0.24 % Memory : 32218.625MB+% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64+% 0.03/0.24 % CPULimit : 300+% 0.03/0.24 % DateTime : Wed Aug 29 18:25:56 CDT 2018+% 0.03/0.24 % CPUTime : +% 0.08/0.28 % ott+1002_2_av=off:bd=preordered:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark+% 0.08/0.45 % Refutation found. Thanks to Tanya!+% 0.08/0.45 % SZS status Theorem for theBenchmark+% 0.08/0.45 % SZS output start Proof for theBenchmark+% 0.08/0.45 fof(f2,axiom,(+% 0.08/0.45 e0 = op(e3,e3) & e1 = op(e3,e2) & e2 = op(e3,e1) & e3 = op(e3,e0) & e1 = op(e2,e3) & e0 = op(e2,e2) & e3 = op(e2,e1) & e2 = op(e2,e0) & e2 = op(e1,e3) & e3 = op(e1,e2) & e0 = op(e1,e1) & e1 = op(e1,e0) & e3 = op(e0,e3) & e2 = op(e0,e2) & e1 = op(e0,e1) & e0 = op(e0,e0)),+% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).+% 0.08/0.45 fof(f3,axiom,(+% 0.08/0.45 e0 = unit),+% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).+% 0.08/0.45 fof(f4,conjecture,(+% 0.08/0.45 (e3 = op(e3,e3) | e3 = op(e2,e3) | e3 = op(e1,e3) | e3 = op(e0,e3)) & (e3 = op(e3,e3) | e3 = op(e3,e2) | e3 = op(e3,e1) | e3 = op(e3,e0)) & (e2 = op(e3,e3) | e2 = op(e2,e3) | e2 = op(e1,e3) | e2 = op(e0,e3)) & (e2 = op(e3,e3) | e2 = op(e3,e2) | e2 = op(e3,e1) | e2 = op(e3,e0)) & (e1 = op(e3,e3) | e1 = op(e2,e3) | e1 = op(e1,e3) | e1 = op(e0,e3)) & (e1 = op(e3,e3) | e1 = op(e3,e2) | e1 = op(e3,e1) | e1 = op(e3,e0)) & (e0 = op(e3,e3) | e0 = op(e2,e3) | e0 = op(e1,e3) | e0 = op(e0,e3)) & (e0 = op(e3,e3) | e0 = op(e3,e2) | e0 = op(e3,e1) | e0 = op(e3,e0)) & (e3 = op(e3,e2) | e3 = op(e2,e2) | e3 = op(e1,e2) | e3 = op(e0,e2)) & (e3 = op(e2,e3) | e3 = op(e2,e2) | e3 = op(e2,e1) | e3 = op(e2,e0)) & (e2 = op(e3,e2) | e2 = op(e2,e2) | e2 = op(e1,e2) | e2 = op(e0,e2)) & (e2 = op(e2,e3) | e2 = op(e2,e2) | e2 = op(e2,e1) | e2 = op(e2,e0)) & (e1 = op(e3,e2) | e1 = op(e2,e2) | e1 = op(e1,e2) | e1 = op(e0,e2)) & (e1 = op(e2,e3) | e1 = op(e2,e2) | e1 = op(e2,e1) | e1 = op(e2,e0)) & (e0 = op(e3,e2) | e0 = op(e2,e2) | e0 = op(e1,e2) | e0 = op(e0,e2)) & (e0 = op(e2,e3) | e0 = op(e2,e2) | e0 = op(e2,e1) | e0 = op(e2,e0)) & (e3 = op(e3,e1) | e3 = op(e2,e1) | e3 = op(e1,e1) | e3 = op(e0,e1)) & (e3 = op(e1,e3) | e3 = op(e1,e2) | e3 = op(e1,e1) | e3 = op(e1,e0)) & (e2 = op(e3,e1) | e2 = op(e2,e1) | e2 = op(e1,e1) | e2 = op(e0,e1)) & (e2 = op(e1,e3) | e2 = op(e1,e2) | e2 = op(e1,e1) | e2 = op(e1,e0)) & (e1 = op(e3,e1) | e1 = op(e2,e1) | e1 = op(e1,e1) | e1 = op(e0,e1)) & (e1 = op(e1,e3) | e1 = op(e1,e2) | e1 = op(e1,e1) | e1 = op(e1,e0)) & (e0 = op(e3,e1) | e0 = op(e2,e1) | e0 = op(e1,e1) | e0 = op(e0,e1)) & (e0 = op(e1,e3) | e0 = op(e1,e2) | e0 = op(e1,e1) | e0 = op(e1,e0)) & (e3 = op(e3,e0) | e3 = op(e2,e0) | e3 = op(e1,e0) | e3 = op(e0,e0)) & (e3 = op(e0,e3) | e3 = op(e0,e2) | e3 = op(e0,e1) | e3 = op(e0,e0)) & (e2 = op(e3,e0) | e2 = op(e2,e0) | e2 = op(e1,e0) | e2 = op(e0,e0)) & (e2 = op(e0,e3) | e2 = op(e0,e2) | e2 = op(e0,e1) | e2 = op(e0,e0)) & (e1 = op(e3,e0) | e1 = op(e2,e0) | e1 = op(e1,e0) | e1 = op(e0,e0)) & (e1 = op(e0,e3) | e1 = op(e0,e2) | e1 = op(e0,e1) | e1 = op(e0,e0)) & (e0 = op(e3,e0) | e0 = op(e2,e0) | e0 = op(e1,e0) | e0 = op(e0,e0)) & (e0 = op(e0,e3) | e0 = op(e0,e2) | e0 = op(e0,e1) | e0 = op(e0,e0)) & (e3 = unit | e2 = unit | e1 = unit | e0 = unit) & e3 = op(e3,unit) & e3 = op(unit,e3) & e2 = op(e2,unit) & e2 = op(unit,e2) & e1 = op(e1,unit) & e1 = op(unit,e1) & e0 = op(e0,unit) & e0 = op(unit,e0) & (e3 = op(e3,e3) | e2 = op(e3,e3) | e1 = op(e3,e3) | e0 = op(e3,e3)) & (e3 = op(e3,e2) | e2 = op(e3,e2) | e1 = op(e3,e2) | e0 = op(e3,e2)) & (e3 = op(e3,e1) | e2 = op(e3,e1) | e1 = op(e3,e1) | e0 = op(e3,e1)) & (e3 = op(e3,e0) | e2 = op(e3,e0) | e1 = op(e3,e0) | e0 = op(e3,e0)) & (e3 = op(e2,e3) | e2 = op(e2,e3) | e1 = op(e2,e3) | e0 = op(e2,e3)) & (e3 = op(e2,e2) | e2 = op(e2,e2) | e1 = op(e2,e2) | e0 = op(e2,e2)) & (e3 = op(e2,e1) | e2 = op(e2,e1) | e1 = op(e2,e1) | e0 = op(e2,e1)) & (e3 = op(e2,e0) | e2 = op(e2,e0) | e1 = op(e2,e0) | e0 = op(e2,e0)) & (e3 = op(e1,e3) | e2 = op(e1,e3) | e1 = op(e1,e3) | e0 = op(e1,e3)) & (e3 = op(e1,e2) | e2 = op(e1,e2) | e1 = op(e1,e2) | e0 = op(e1,e2)) & (e3 = op(e1,e1) | e2 = op(e1,e1) | e1 = op(e1,e1) | e0 = op(e1,e1)) & (e3 = op(e1,e0) | e2 = op(e1,e0) | e1 = op(e1,e0) | e0 = op(e1,e0)) & (e3 = op(e0,e3) | e2 = op(e0,e3) | e1 = op(e0,e3) | e0 = op(e0,e3)) & (e3 = op(e0,e2) | e2 = op(e0,e2) | e1 = op(e0,e2) | e0 = op(e0,e2)) & (e3 = op(e0,e1) | e2 = op(e0,e1) | e1 = op(e0,e1) | e0 = op(e0,e1)) & (e3 = op(e0,e0) | e2 = op(e0,e0) | e1 = op(e0,e0) | e0 = op(e0,e0)) & ((e3 = op(e3,e3) & e3 = op(e2,e2) & e3 = op(e1,e1) & e3 = op(e0,e0)) | (e2 = op(e3,e3) & e2 = op(e2,e2) & e2 = op(e1,e1) & e2 = op(e0,e0)) | (e1 = op(e3,e3) & e1 = op(e2,e2) & e1 = op(e1,e1) & e1 = op(e0,e0)) | (e0 = op(e3,e3) & e0 = op(e2,e2) & e0 = op(e1,e1) & e0 = op(e0,e0)))),+% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).+% 0.08/0.45 fof(f5,negated_conjecture,(+% 0.08/0.45 ~((e3 = op(e3,e3) | e3 = op(e2,e3) | e3 = op(e1,e3) | e3 = op(e0,e3)) & (e3 = op(e3,e3) | e3 = op(e3,e2) | e3 = op(e3,e1) | e3 = op(e3,e0)) & (e2 = op(e3,e3) | e2 = op(e2,e3) | e2 = op(e1,e3) | e2 = op(e0,e3)) & (e2 = op(e3,e3) | e2 = op(e3,e2) | e2 = op(e3,e1) | e2 = op(e3,e0)) & (e1 = op(e3,e3) | e1 = op(e2,e3) | e1 = op(e1,e3) | e1 = op(e0,e3)) & (e1 = op(e3,e3) | e1 = op(e3,e2) | e1 = op(e3,e1) | e1 = op(e3,e0)) & (e0 = op(e3,e3) | e0 = op(e2,e3) | e0 = op(e1,e3) | e0 = op(e0,e3)) & (e0 = op(e3,e3) | e0 = op(e3,e2) | e0 = op(e3,e1) | e0 = op(e3,e0)) & (e3 = op(e3,e2) | e3 = op(e2,e2) | e3 = op(e1,e2) | e3 = op(e0,e2)) & (e3 = op(e2,e3) | e3 = op(e2,e2) | e3 = op(e2,e1) | e3 = op(e2,e0)) & (e2 = op(e3,e2) | e2 = op(e2,e2) | e2 = op(e1,e2) | e2 = op(e0,e2)) & (e2 = op(e2,e3) | e2 = op(e2,e2) | e2 = op(e2,e1) | e2 = op(e2,e0)) & (e1 = op(e3,e2) | e1 = op(e2,e2) | e1 = op(e1,e2) | e1 = op(e0,e2)) & (e1 = op(e2,e3) | e1 = op(e2,e2) | e1 = op(e2,e1) | e1 = op(e2,e0)) & (e0 = op(e3,e2) | e0 = op(e2,e2) | e0 = op(e1,e2) | e0 = op(e0,e2)) & (e0 = op(e2,e3) | e0 = op(e2,e2) | e0 = op(e2,e1) | e0 = op(e2,e0)) & (e3 = op(e3,e1) | e3 = op(e2,e1) | e3 = op(e1,e1) | e3 = op(e0,e1)) & (e3 = op(e1,e3) | e3 = op(e1,e2) | e3 = op(e1,e1) | e3 = op(e1,e0)) & (e2 = op(e3,e1) | e2 = op(e2,e1) | e2 = op(e1,e1) | e2 = op(e0,e1)) & (e2 = op(e1,e3) | e2 = op(e1,e2) | e2 = op(e1,e1) | e2 = op(e1,e0)) & (e1 = op(e3,e1) | e1 = op(e2,e1) | e1 = op(e1,e1) | e1 = op(e0,e1)) & (e1 = op(e1,e3) | e1 = op(e1,e2) | e1 = op(e1,e1) | e1 = op(e1,e0)) & (e0 = op(e3,e1) | e0 = op(e2,e1) | e0 = op(e1,e1) | e0 = op(e0,e1)) & (e0 = op(e1,e3) | e0 = op(e1,e2) | e0 = op(e1,e1) | e0 = op(e1,e0)) & (e3 = op(e3,e0) | e3 = op(e2,e0) | e3 = op(e1,e0) | e3 = op(e0,e0)) & (e3 = op(e0,e3) | e3 = op(e0,e2) | e3 = op(e0,e1) | e3 = op(e0,e0)) & (e2 = op(e3,e0) | e2 = op(e2,e0) | e2 = op(e1,e0) | e2 = op(e0,e0)) & (e2 = op(e0,e3) | e2 = op(e0,e2) | e2 = op(e0,e1) | e2 = op(e0,e0)) & (e1 = op(e3,e0) | e1 = op(e2,e0) | e1 = op(e1,e0) | e1 = op(e0,e0)) & (e1 = op(e0,e3) | e1 = op(e0,e2) | e1 = op(e0,e1) | e1 = op(e0,e0)) & (e0 = op(e3,e0) | e0 = op(e2,e0) | e0 = op(e1,e0) | e0 = op(e0,e0)) & (e0 = op(e0,e3) | e0 = op(e0,e2) | e0 = op(e0,e1) | e0 = op(e0,e0)) & (e3 = unit | e2 = unit | e1 = unit | e0 = unit) & e3 = op(e3,unit) & e3 = op(unit,e3) & e2 = op(e2,unit) & e2 = op(unit,e2) & e1 = op(e1,unit) & e1 = op(unit,e1) & e0 = op(e0,unit) & e0 = op(unit,e0) & (e3 = op(e3,e3) | e2 = op(e3,e3) | e1 = op(e3,e3) | e0 = op(e3,e3)) & (e3 = op(e3,e2) | e2 = op(e3,e2) | e1 = op(e3,e2) | e0 = op(e3,e2)) & (e3 = op(e3,e1) | e2 = op(e3,e1) | e1 = op(e3,e1) | e0 = op(e3,e1)) & (e3 = op(e3,e0) | e2 = op(e3,e0) | e1 = op(e3,e0) | e0 = op(e3,e0)) & (e3 = op(e2,e3) | e2 = op(e2,e3) | e1 = op(e2,e3) | e0 = op(e2,e3)) & (e3 = op(e2,e2) | e2 = op(e2,e2) | e1 = op(e2,e2) | e0 = op(e2,e2)) & (e3 = op(e2,e1) | e2 = op(e2,e1) | e1 = op(e2,e1) | e0 = op(e2,e1)) & (e3 = op(e2,e0) | e2 = op(e2,e0) | e1 = op(e2,e0) | e0 = op(e2,e0)) & (e3 = op(e1,e3) | e2 = op(e1,e3) | e1 = op(e1,e3) | e0 = op(e1,e3)) & (e3 = op(e1,e2) | e2 = op(e1,e2) | e1 = op(e1,e2) | e0 = op(e1,e2)) & (e3 = op(e1,e1) | e2 = op(e1,e1) | e1 = op(e1,e1) | e0 = op(e1,e1)) & (e3 = op(e1,e0) | e2 = op(e1,e0) | e1 = op(e1,e0) | e0 = op(e1,e0)) & (e3 = op(e0,e3) | e2 = op(e0,e3) | e1 = op(e0,e3) | e0 = op(e0,e3)) & (e3 = op(e0,e2) | e2 = op(e0,e2) | e1 = op(e0,e2) | e0 = op(e0,e2)) & (e3 = op(e0,e1) | e2 = op(e0,e1) | e1 = op(e0,e1) | e0 = op(e0,e1)) & (e3 = op(e0,e0) | e2 = op(e0,e0) | e1 = op(e0,e0) | e0 = op(e0,e0)) & ((e3 = op(e3,e3) & e3 = op(e2,e2) & e3 = op(e1,e1) & e3 = op(e0,e0)) | (e2 = op(e3,e3) & e2 = op(e2,e2) & e2 = op(e1,e1) & e2 = op(e0,e0)) | (e1 = op(e3,e3) & e1 = op(e2,e2) & e1 = op(e1,e1) & e1 = op(e0,e0)) | (e0 = op(e3,e3) & e0 = op(e2,e2) & e0 = op(e1,e1) & e0 = op(e0,e0))))),+% 0.08/0.45 inference(negated_conjecture,[],[f4])).+% 0.08/0.45 fof(f6,plain,(+% 0.08/0.45 (e3 != op(e3,e3) & e3 != op(e2,e3) & e3 != op(e1,e3) & e3 != op(e0,e3)) | (e3 != op(e3,e3) & e3 != op(e3,e2) & e3 != op(e3,e1) & e3 != op(e3,e0)) | (e2 != op(e3,e3) & e2 != op(e2,e3) & e2 != op(e1,e3) & e2 != op(e0,e3)) | (e2 != op(e3,e3) & e2 != op(e3,e2) & e2 != op(e3,e1) & e2 != op(e3,e0)) | (e1 != op(e3,e3) & e1 != op(e2,e3) & e1 != op(e1,e3) & e1 != op(e0,e3)) | (e1 != op(e3,e3) & e1 != op(e3,e2) & e1 != op(e3,e1) & e1 != op(e3,e0)) | (e0 != op(e3,e3) & e0 != op(e2,e3) & e0 != op(e1,e3) & e0 != op(e0,e3)) | (e0 != op(e3,e3) & e0 != op(e3,e2) & e0 != op(e3,e1) & e0 != op(e3,e0)) | (e3 != op(e3,e2) & e3 != op(e2,e2) & e3 != op(e1,e2) & e3 != op(e0,e2)) | (e3 != op(e2,e3) & e3 != op(e2,e2) & e3 != op(e2,e1) & e3 != op(e2,e0)) | (e2 != op(e3,e2) & e2 != op(e2,e2) & e2 != op(e1,e2) & e2 != op(e0,e2)) | (e2 != op(e2,e3) & e2 != op(e2,e2) & e2 != op(e2,e1) & e2 != op(e2,e0)) | (e1 != op(e3,e2) & e1 != op(e2,e2) & e1 != op(e1,e2) & e1 != op(e0,e2)) | (e1 != op(e2,e3) & e1 != op(e2,e2) & e1 != op(e2,e1) & e1 != op(e2,e0)) | (e0 != op(e3,e2) & e0 != op(e2,e2) & e0 != op(e1,e2) & e0 != op(e0,e2)) | (e0 != op(e2,e3) & e0 != op(e2,e2) & e0 != op(e2,e1) & e0 != op(e2,e0)) | (e3 != op(e3,e1) & e3 != op(e2,e1) & e3 != op(e1,e1) & e3 != op(e0,e1)) | (e3 != op(e1,e3) & e3 != op(e1,e2) & e3 != op(e1,e1) & e3 != op(e1,e0)) | (e2 != op(e3,e1) & e2 != op(e2,e1) & e2 != op(e1,e1) & e2 != op(e0,e1)) | (e2 != op(e1,e3) & e2 != op(e1,e2) & e2 != op(e1,e1) & e2 != op(e1,e0)) | (e1 != op(e3,e1) & e1 != op(e2,e1) & e1 != op(e1,e1) & e1 != op(e0,e1)) | (e1 != op(e1,e3) & e1 != op(e1,e2) & e1 != op(e1,e1) & e1 != op(e1,e0)) | (e0 != op(e3,e1) & e0 != op(e2,e1) & e0 != op(e1,e1) & e0 != op(e0,e1)) | (e0 != op(e1,e3) & e0 != op(e1,e2) & e0 != op(e1,e1) & e0 != op(e1,e0)) | (e3 != op(e3,e0) & e3 != op(e2,e0) & e3 != op(e1,e0) & e3 != op(e0,e0)) | (e3 != op(e0,e3) & e3 != op(e0,e2) & e3 != op(e0,e1) & e3 != op(e0,e0)) | (e2 != op(e3,e0) & e2 != op(e2,e0) & e2 != op(e1,e0) & e2 != op(e0,e0)) | (e2 != op(e0,e3) & e2 != op(e0,e2) & e2 != op(e0,e1) & e2 != op(e0,e0)) | (e1 != op(e3,e0) & e1 != op(e2,e0) & e1 != op(e1,e0) & e1 != op(e0,e0)) | (e1 != op(e0,e3) & e1 != op(e0,e2) & e1 != op(e0,e1) & e1 != op(e0,e0)) | (e0 != op(e3,e0) & e0 != op(e2,e0) & e0 != op(e1,e0) & e0 != op(e0,e0)) | (e0 != op(e0,e3) & e0 != op(e0,e2) & e0 != op(e0,e1) & e0 != op(e0,e0)) | (e3 != unit & e2 != unit & e1 != unit & e0 != unit) | e3 != op(e3,unit) | e3 != op(unit,e3) | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | e0 != op(e0,unit) | e0 != op(unit,e0) | (e3 != op(e3,e3) & e2 != op(e3,e3) & e1 != op(e3,e3) & e0 != op(e3,e3)) | (e3 != op(e3,e2) & e2 != op(e3,e2) & e1 != op(e3,e2) & e0 != op(e3,e2)) | (e3 != op(e3,e1) & e2 != op(e3,e1) & e1 != op(e3,e1) & e0 != op(e3,e1)) | (e3 != op(e3,e0) & e2 != op(e3,e0) & e1 != op(e3,e0) & e0 != op(e3,e0)) | (e3 != op(e2,e3) & e2 != op(e2,e3) & e1 != op(e2,e3) & e0 != op(e2,e3)) | (e3 != op(e2,e2) & e2 != op(e2,e2) & e1 != op(e2,e2) & e0 != op(e2,e2)) | (e3 != op(e2,e1) & e2 != op(e2,e1) & e1 != op(e2,e1) & e0 != op(e2,e1)) | (e3 != op(e2,e0) & e2 != op(e2,e0) & e1 != op(e2,e0) & e0 != op(e2,e0)) | (e3 != op(e1,e3) & e2 != op(e1,e3) & e1 != op(e1,e3) & e0 != op(e1,e3)) | (e3 != op(e1,e2) & e2 != op(e1,e2) & e1 != op(e1,e2) & e0 != op(e1,e2)) | (e3 != op(e1,e1) & e2 != op(e1,e1) & e1 != op(e1,e1) & e0 != op(e1,e1)) | (e3 != op(e1,e0) & e2 != op(e1,e0) & e1 != op(e1,e0) & e0 != op(e1,e0)) | (e3 != op(e0,e3) & e2 != op(e0,e3) & e1 != op(e0,e3) & e0 != op(e0,e3)) | (e3 != op(e0,e2) & e2 != op(e0,e2) & e1 != op(e0,e2) & e0 != op(e0,e2)) | (e3 != op(e0,e1) & e2 != op(e0,e1) & e1 != op(e0,e1) & e0 != op(e0,e1)) | (e3 != op(e0,e0) & e2 != op(e0,e0) & e1 != op(e0,e0) & e0 != op(e0,e0)) | ((e3 != op(e3,e3) | e3 != op(e2,e2) | e3 != op(e1,e1) | e3 != op(e0,e0)) & (e2 != op(e3,e3) | e2 != op(e2,e2) | e2 != op(e1,e1) | e2 != op(e0,e0)) & (e1 != op(e3,e3) | e1 != op(e2,e2) | e1 != op(e1,e1) | e1 != op(e0,e0)) & (e0 != op(e3,e3) | e0 != op(e2,e2) | e0 != op(e1,e1) | e0 != op(e0,e0)))),+% 0.08/0.45 inference(ennf_transformation,[],[f5])).+% 0.08/0.45 fof(f7,plain,(+% 0.08/0.45 ((e3 != op(e3,e3) | e3 != op(e2,e2) | e3 != op(e1,e1) | e3 != op(e0,e0)) & (e2 != op(e3,e3) | e2 != op(e2,e2) | e2 != op(e1,e1) | e2 != op(e0,e0)) & (e1 != op(e3,e3) | e1 != op(e2,e2) | e1 != op(e1,e1) | e1 != op(e0,e0)) & (e0 != op(e3,e3) | e0 != op(e2,e2) | e0 != op(e1,e1) | e0 != op(e0,e0))) | ~sP0),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).+% 0.08/0.45 fof(f8,plain,(+% 0.08/0.45 (e3 != op(e0,e0) & e2 != op(e0,e0) & e1 != op(e0,e0) & e0 != op(e0,e0)) | ~sP1),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])).+% 0.08/0.45 fof(f9,plain,(+% 0.08/0.45 (e3 != op(e0,e1) & e2 != op(e0,e1) & e1 != op(e0,e1) & e0 != op(e0,e1)) | ~sP2),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])).+% 0.08/0.45 fof(f10,plain,(+% 0.08/0.45 (e3 != op(e0,e2) & e2 != op(e0,e2) & e1 != op(e0,e2) & e0 != op(e0,e2)) | ~sP3),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])).+% 0.08/0.45 fof(f11,plain,(+% 0.08/0.45 (e3 != op(e0,e3) & e2 != op(e0,e3) & e1 != op(e0,e3) & e0 != op(e0,e3)) | ~sP4),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])).+% 0.08/0.45 fof(f12,plain,(+% 0.08/0.45 (e3 != op(e1,e0) & e2 != op(e1,e0) & e1 != op(e1,e0) & e0 != op(e1,e0)) | ~sP5),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])).+% 0.08/0.45 fof(f13,plain,(+% 0.08/0.45 (e3 != op(e1,e1) & e2 != op(e1,e1) & e1 != op(e1,e1) & e0 != op(e1,e1)) | ~sP6),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])).+% 0.08/0.45 fof(f14,plain,(+% 0.08/0.45 (e3 != op(e1,e2) & e2 != op(e1,e2) & e1 != op(e1,e2) & e0 != op(e1,e2)) | ~sP7),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])])).+% 0.08/0.45 fof(f15,plain,(+% 0.08/0.45 (e3 != op(e1,e3) & e2 != op(e1,e3) & e1 != op(e1,e3) & e0 != op(e1,e3)) | ~sP8),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])])).+% 0.08/0.45 fof(f16,plain,(+% 0.08/0.45 (e3 != op(e2,e0) & e2 != op(e2,e0) & e1 != op(e2,e0) & e0 != op(e2,e0)) | ~sP9),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])])).+% 0.08/0.45 fof(f17,plain,(+% 0.08/0.45 (e3 != op(e2,e1) & e2 != op(e2,e1) & e1 != op(e2,e1) & e0 != op(e2,e1)) | ~sP10),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])])).+% 0.08/0.45 fof(f18,plain,(+% 0.08/0.45 (e3 != op(e2,e2) & e2 != op(e2,e2) & e1 != op(e2,e2) & e0 != op(e2,e2)) | ~sP11),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])])).+% 0.08/0.45 fof(f19,plain,(+% 0.08/0.45 (e3 != op(e2,e3) & e2 != op(e2,e3) & e1 != op(e2,e3) & e0 != op(e2,e3)) | ~sP12),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])])).+% 0.08/0.45 fof(f20,plain,(+% 0.08/0.45 (e3 != op(e3,e0) & e2 != op(e3,e0) & e1 != op(e3,e0) & e0 != op(e3,e0)) | ~sP13),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])])).+% 0.08/0.45 fof(f21,plain,(+% 0.08/0.45 (e3 != op(e3,e1) & e2 != op(e3,e1) & e1 != op(e3,e1) & e0 != op(e3,e1)) | ~sP14),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])])).+% 0.08/0.45 fof(f22,plain,(+% 0.08/0.45 (e3 != op(e3,e2) & e2 != op(e3,e2) & e1 != op(e3,e2) & e0 != op(e3,e2)) | ~sP15),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])])).+% 0.08/0.45 fof(f23,plain,(+% 0.08/0.45 (e3 != op(e3,e3) & e2 != op(e3,e3) & e1 != op(e3,e3) & e0 != op(e3,e3)) | ~sP16),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])])).+% 0.08/0.45 fof(f24,plain,(+% 0.08/0.45 (e3 != unit & e2 != unit & e1 != unit & e0 != unit) | ~sP17),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])])).+% 0.08/0.45 fof(f25,plain,(+% 0.08/0.45 (e0 != op(e0,e3) & e0 != op(e0,e2) & e0 != op(e0,e1) & e0 != op(e0,e0)) | ~sP18),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])])).+% 0.08/0.45 fof(f26,plain,(+% 0.08/0.45 (e0 != op(e3,e0) & e0 != op(e2,e0) & e0 != op(e1,e0) & e0 != op(e0,e0)) | ~sP19),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])])).+% 0.08/0.45 fof(f27,plain,(+% 0.08/0.45 (e1 != op(e0,e3) & e1 != op(e0,e2) & e1 != op(e0,e1) & e1 != op(e0,e0)) | ~sP20),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])])).+% 0.08/0.45 fof(f28,plain,(+% 0.08/0.45 (e1 != op(e3,e0) & e1 != op(e2,e0) & e1 != op(e1,e0) & e1 != op(e0,e0)) | ~sP21),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])])).+% 0.08/0.45 fof(f29,plain,(+% 0.08/0.45 (e2 != op(e0,e3) & e2 != op(e0,e2) & e2 != op(e0,e1) & e2 != op(e0,e0)) | ~sP22),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])])).+% 0.08/0.45 fof(f30,plain,(+% 0.08/0.45 (e2 != op(e3,e0) & e2 != op(e2,e0) & e2 != op(e1,e0) & e2 != op(e0,e0)) | ~sP23),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])])).+% 0.08/0.45 fof(f31,plain,(+% 0.08/0.45 (e3 != op(e0,e3) & e3 != op(e0,e2) & e3 != op(e0,e1) & e3 != op(e0,e0)) | ~sP24),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])])).+% 0.08/0.45 fof(f32,plain,(+% 0.08/0.45 (e3 != op(e3,e0) & e3 != op(e2,e0) & e3 != op(e1,e0) & e3 != op(e0,e0)) | ~sP25),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])])).+% 0.08/0.45 fof(f33,plain,(+% 0.08/0.45 (e0 != op(e1,e3) & e0 != op(e1,e2) & e0 != op(e1,e1) & e0 != op(e1,e0)) | ~sP26),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])])).+% 0.08/0.45 fof(f34,plain,(+% 0.08/0.45 (e0 != op(e3,e1) & e0 != op(e2,e1) & e0 != op(e1,e1) & e0 != op(e0,e1)) | ~sP27),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])])).+% 0.08/0.45 fof(f35,plain,(+% 0.08/0.45 (e1 != op(e1,e3) & e1 != op(e1,e2) & e1 != op(e1,e1) & e1 != op(e1,e0)) | ~sP28),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])])).+% 0.08/0.45 fof(f36,plain,(+% 0.08/0.45 (e1 != op(e3,e1) & e1 != op(e2,e1) & e1 != op(e1,e1) & e1 != op(e0,e1)) | ~sP29),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])])).+% 0.08/0.45 fof(f37,plain,(+% 0.08/0.45 (e2 != op(e1,e3) & e2 != op(e1,e2) & e2 != op(e1,e1) & e2 != op(e1,e0)) | ~sP30),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])])).+% 0.08/0.45 fof(f38,plain,(+% 0.08/0.45 (e2 != op(e3,e1) & e2 != op(e2,e1) & e2 != op(e1,e1) & e2 != op(e0,e1)) | ~sP31),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])])).+% 0.08/0.45 fof(f39,plain,(+% 0.08/0.45 (e3 != op(e1,e3) & e3 != op(e1,e2) & e3 != op(e1,e1) & e3 != op(e1,e0)) | ~sP32),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])])).+% 0.08/0.45 fof(f40,plain,(+% 0.08/0.45 (e3 != op(e3,e1) & e3 != op(e2,e1) & e3 != op(e1,e1) & e3 != op(e0,e1)) | ~sP33),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])])).+% 0.08/0.45 fof(f41,plain,(+% 0.08/0.45 (e0 != op(e2,e3) & e0 != op(e2,e2) & e0 != op(e2,e1) & e0 != op(e2,e0)) | ~sP34),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])])).+% 0.08/0.45 fof(f42,plain,(+% 0.08/0.45 (e0 != op(e3,e2) & e0 != op(e2,e2) & e0 != op(e1,e2) & e0 != op(e0,e2)) | ~sP35),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])])).+% 0.08/0.45 fof(f43,plain,(+% 0.08/0.45 (e1 != op(e2,e3) & e1 != op(e2,e2) & e1 != op(e2,e1) & e1 != op(e2,e0)) | ~sP36),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])])).+% 0.08/0.45 fof(f44,plain,(+% 0.08/0.45 (e1 != op(e3,e2) & e1 != op(e2,e2) & e1 != op(e1,e2) & e1 != op(e0,e2)) | ~sP37),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])])).+% 0.08/0.45 fof(f45,plain,(+% 0.08/0.45 (e2 != op(e2,e3) & e2 != op(e2,e2) & e2 != op(e2,e1) & e2 != op(e2,e0)) | ~sP38),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])])).+% 0.08/0.45 fof(f46,plain,(+% 0.08/0.45 (e2 != op(e3,e2) & e2 != op(e2,e2) & e2 != op(e1,e2) & e2 != op(e0,e2)) | ~sP39),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])])).+% 0.08/0.45 fof(f47,plain,(+% 0.08/0.45 (e3 != op(e2,e3) & e3 != op(e2,e2) & e3 != op(e2,e1) & e3 != op(e2,e0)) | ~sP40),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])])).+% 0.08/0.45 fof(f48,plain,(+% 0.08/0.45 (e3 != op(e3,e2) & e3 != op(e2,e2) & e3 != op(e1,e2) & e3 != op(e0,e2)) | ~sP41),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])])).+% 0.08/0.45 fof(f49,plain,(+% 0.08/0.45 (e0 != op(e3,e3) & e0 != op(e3,e2) & e0 != op(e3,e1) & e0 != op(e3,e0)) | ~sP42),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])])).+% 0.08/0.45 fof(f50,plain,(+% 0.08/0.45 (e0 != op(e3,e3) & e0 != op(e2,e3) & e0 != op(e1,e3) & e0 != op(e0,e3)) | ~sP43),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])])).+% 0.08/0.45 fof(f51,plain,(+% 0.08/0.45 (e1 != op(e3,e3) & e1 != op(e3,e2) & e1 != op(e3,e1) & e1 != op(e3,e0)) | ~sP44),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])])).+% 0.08/0.45 fof(f52,plain,(+% 0.08/0.45 (e1 != op(e3,e3) & e1 != op(e2,e3) & e1 != op(e1,e3) & e1 != op(e0,e3)) | ~sP45),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])])).+% 0.08/0.45 fof(f53,plain,(+% 0.08/0.45 (e2 != op(e3,e3) & e2 != op(e3,e2) & e2 != op(e3,e1) & e2 != op(e3,e0)) | ~sP46),+% 0.08/0.45 introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])])).+% 0.08/0.45 fof(f54,plain,(+% 0.08/0.45 (e3 != op(e3,e3) & e3 != op(e2,e3) & e3 != op(e1,e3) & e3 != op(e0,e3)) | (e3 != op(e3,e3) & e3 != op(e3,e2) & e3 != op(e3,e1) & e3 != op(e3,e0)) | (e2 != op(e3,e3) & e2 != op(e2,e3) & e2 != op(e1,e3) & e2 != op(e0,e3)) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP29 | sP28 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | sP20 | sP19 | sP18 | sP17 | e3 != op(e3,unit) | e3 != op(unit,e3) | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | e0 != op(e0,unit) | e0 != op(unit,e0) | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP2 | sP1 | sP0),+% 0.08/0.45 inference(definition_folding,[],[f6,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7])).+% 0.08/0.45 fof(f55,plain,(+% 0.08/0.45 (e2 != op(e3,e3) & e2 != op(e3,e2) & e2 != op(e3,e1) & e2 != op(e3,e0)) | ~sP46),+% 0.08/0.45 inference(nnf_transformation,[],[f53])).+% 0.08/0.45 fof(f56,plain,(+% 0.08/0.45 (e1 != op(e3,e3) & e1 != op(e2,e3) & e1 != op(e1,e3) & e1 != op(e0,e3)) | ~sP45),+% 0.08/0.45 inference(nnf_transformation,[],[f52])).+% 0.08/0.45 fof(f57,plain,(+% 0.08/0.45 (e1 != op(e3,e3) & e1 != op(e3,e2) & e1 != op(e3,e1) & e1 != op(e3,e0)) | ~sP44),+% 0.08/0.45 inference(nnf_transformation,[],[f51])).+% 0.08/0.45 fof(f58,plain,(+% 0.08/0.45 (e0 != op(e3,e3) & e0 != op(e2,e3) & e0 != op(e1,e3) & e0 != op(e0,e3)) | ~sP43),+% 0.08/0.45 inference(nnf_transformation,[],[f50])).+% 0.08/0.45 fof(f59,plain,(+% 0.08/0.45 (e0 != op(e3,e3) & e0 != op(e3,e2) & e0 != op(e3,e1) & e0 != op(e3,e0)) | ~sP42),+% 0.08/0.45 inference(nnf_transformation,[],[f49])).+% 0.08/0.46 fof(f60,plain,(+% 0.08/0.46 (e3 != op(e3,e2) & e3 != op(e2,e2) & e3 != op(e1,e2) & e3 != op(e0,e2)) | ~sP41),+% 0.08/0.46 inference(nnf_transformation,[],[f48])).+% 0.08/0.46 fof(f61,plain,(+% 0.08/0.46 (e3 != op(e2,e3) & e3 != op(e2,e2) & e3 != op(e2,e1) & e3 != op(e2,e0)) | ~sP40),+% 0.08/0.46 inference(nnf_transformation,[],[f47])).+% 0.08/0.46 fof(f62,plain,(+% 0.08/0.46 (e2 != op(e3,e2) & e2 != op(e2,e2) & e2 != op(e1,e2) & e2 != op(e0,e2)) | ~sP39),+% 0.08/0.46 inference(nnf_transformation,[],[f46])).+% 0.08/0.46 fof(f63,plain,(+% 0.08/0.46 (e2 != op(e2,e3) & e2 != op(e2,e2) & e2 != op(e2,e1) & e2 != op(e2,e0)) | ~sP38),+% 0.08/0.46 inference(nnf_transformation,[],[f45])).+% 0.08/0.46 fof(f64,plain,(+% 0.08/0.46 (e1 != op(e3,e2) & e1 != op(e2,e2) & e1 != op(e1,e2) & e1 != op(e0,e2)) | ~sP37),+% 0.08/0.46 inference(nnf_transformation,[],[f44])).+% 0.08/0.46 fof(f65,plain,(+% 0.08/0.46 (e1 != op(e2,e3) & e1 != op(e2,e2) & e1 != op(e2,e1) & e1 != op(e2,e0)) | ~sP36),+% 0.08/0.46 inference(nnf_transformation,[],[f43])).+% 0.08/0.46 fof(f66,plain,(+% 0.08/0.46 (e0 != op(e3,e2) & e0 != op(e2,e2) & e0 != op(e1,e2) & e0 != op(e0,e2)) | ~sP35),+% 0.08/0.46 inference(nnf_transformation,[],[f42])).+% 0.08/0.46 fof(f67,plain,(+% 0.08/0.46 (e0 != op(e2,e3) & e0 != op(e2,e2) & e0 != op(e2,e1) & e0 != op(e2,e0)) | ~sP34),+% 0.08/0.46 inference(nnf_transformation,[],[f41])).+% 0.08/0.46 fof(f68,plain,(+% 0.08/0.46 (e3 != op(e3,e1) & e3 != op(e2,e1) & e3 != op(e1,e1) & e3 != op(e0,e1)) | ~sP33),+% 0.08/0.46 inference(nnf_transformation,[],[f40])).+% 0.08/0.46 fof(f69,plain,(+% 0.08/0.46 (e3 != op(e1,e3) & e3 != op(e1,e2) & e3 != op(e1,e1) & e3 != op(e1,e0)) | ~sP32),+% 0.08/0.46 inference(nnf_transformation,[],[f39])).+% 0.08/0.46 fof(f70,plain,(+% 0.08/0.46 (e2 != op(e3,e1) & e2 != op(e2,e1) & e2 != op(e1,e1) & e2 != op(e0,e1)) | ~sP31),+% 0.08/0.46 inference(nnf_transformation,[],[f38])).+% 0.08/0.46 fof(f71,plain,(+% 0.08/0.46 (e2 != op(e1,e3) & e2 != op(e1,e2) & e2 != op(e1,e1) & e2 != op(e1,e0)) | ~sP30),+% 0.08/0.46 inference(nnf_transformation,[],[f37])).+% 0.08/0.46 fof(f72,plain,(+% 0.08/0.46 (e1 != op(e3,e1) & e1 != op(e2,e1) & e1 != op(e1,e1) & e1 != op(e0,e1)) | ~sP29),+% 0.08/0.46 inference(nnf_transformation,[],[f36])).+% 0.08/0.46 fof(f73,plain,(+% 0.08/0.46 (e1 != op(e1,e3) & e1 != op(e1,e2) & e1 != op(e1,e1) & e1 != op(e1,e0)) | ~sP28),+% 0.08/0.46 inference(nnf_transformation,[],[f35])).+% 0.08/0.46 fof(f74,plain,(+% 0.08/0.46 (e0 != op(e3,e1) & e0 != op(e2,e1) & e0 != op(e1,e1) & e0 != op(e0,e1)) | ~sP27),+% 0.08/0.46 inference(nnf_transformation,[],[f34])).+% 0.08/0.46 fof(f75,plain,(+% 0.08/0.46 (e0 != op(e1,e3) & e0 != op(e1,e2) & e0 != op(e1,e1) & e0 != op(e1,e0)) | ~sP26),+% 0.08/0.46 inference(nnf_transformation,[],[f33])).+% 0.08/0.46 fof(f76,plain,(+% 0.08/0.46 (e3 != op(e3,e0) & e3 != op(e2,e0) & e3 != op(e1,e0) & e3 != op(e0,e0)) | ~sP25),+% 0.08/0.46 inference(nnf_transformation,[],[f32])).+% 0.08/0.46 fof(f77,plain,(+% 0.08/0.46 (e3 != op(e0,e3) & e3 != op(e0,e2) & e3 != op(e0,e1) & e3 != op(e0,e0)) | ~sP24),+% 0.08/0.46 inference(nnf_transformation,[],[f31])).+% 0.08/0.46 fof(f78,plain,(+% 0.08/0.46 (e2 != op(e3,e0) & e2 != op(e2,e0) & e2 != op(e1,e0) & e2 != op(e0,e0)) | ~sP23),+% 0.08/0.46 inference(nnf_transformation,[],[f30])).+% 0.08/0.46 fof(f79,plain,(+% 0.08/0.46 (e2 != op(e0,e3) & e2 != op(e0,e2) & e2 != op(e0,e1) & e2 != op(e0,e0)) | ~sP22),+% 0.08/0.46 inference(nnf_transformation,[],[f29])).+% 0.08/0.46 fof(f80,plain,(+% 0.08/0.46 (e1 != op(e3,e0) & e1 != op(e2,e0) & e1 != op(e1,e0) & e1 != op(e0,e0)) | ~sP21),+% 0.08/0.46 inference(nnf_transformation,[],[f28])).+% 0.08/0.46 fof(f81,plain,(+% 0.08/0.46 (e1 != op(e0,e3) & e1 != op(e0,e2) & e1 != op(e0,e1) & e1 != op(e0,e0)) | ~sP20),+% 0.08/0.46 inference(nnf_transformation,[],[f27])).+% 0.08/0.46 fof(f82,plain,(+% 0.08/0.46 (e0 != op(e3,e0) & e0 != op(e2,e0) & e0 != op(e1,e0) & e0 != op(e0,e0)) | ~sP19),+% 0.08/0.46 inference(nnf_transformation,[],[f26])).+% 0.08/0.46 fof(f83,plain,(+% 0.08/0.46 (e0 != op(e0,e3) & e0 != op(e0,e2) & e0 != op(e0,e1) & e0 != op(e0,e0)) | ~sP18),+% 0.08/0.46 inference(nnf_transformation,[],[f25])).+% 0.08/0.46 fof(f84,plain,(+% 0.08/0.46 (e3 != unit & e2 != unit & e1 != unit & e0 != unit) | ~sP17),+% 0.08/0.46 inference(nnf_transformation,[],[f24])).+% 0.08/0.46 fof(f85,plain,(+% 0.08/0.46 (e3 != op(e3,e3) & e2 != op(e3,e3) & e1 != op(e3,e3) & e0 != op(e3,e3)) | ~sP16),+% 0.08/0.46 inference(nnf_transformation,[],[f23])).+% 0.08/0.46 fof(f86,plain,(+% 0.08/0.46 (e3 != op(e3,e2) & e2 != op(e3,e2) & e1 != op(e3,e2) & e0 != op(e3,e2)) | ~sP15),+% 0.08/0.46 inference(nnf_transformation,[],[f22])).+% 0.08/0.46 fof(f87,plain,(+% 0.08/0.46 (e3 != op(e3,e1) & e2 != op(e3,e1) & e1 != op(e3,e1) & e0 != op(e3,e1)) | ~sP14),+% 0.08/0.46 inference(nnf_transformation,[],[f21])).+% 0.08/0.46 fof(f88,plain,(+% 0.08/0.46 (e3 != op(e3,e0) & e2 != op(e3,e0) & e1 != op(e3,e0) & e0 != op(e3,e0)) | ~sP13),+% 0.08/0.46 inference(nnf_transformation,[],[f20])).+% 0.08/0.46 fof(f89,plain,(+% 0.08/0.46 (e3 != op(e2,e3) & e2 != op(e2,e3) & e1 != op(e2,e3) & e0 != op(e2,e3)) | ~sP12),+% 0.08/0.46 inference(nnf_transformation,[],[f19])).+% 0.08/0.46 fof(f90,plain,(+% 0.08/0.46 (e3 != op(e2,e2) & e2 != op(e2,e2) & e1 != op(e2,e2) & e0 != op(e2,e2)) | ~sP11),+% 0.08/0.46 inference(nnf_transformation,[],[f18])).+% 0.08/0.46 fof(f91,plain,(+% 0.08/0.46 (e3 != op(e2,e1) & e2 != op(e2,e1) & e1 != op(e2,e1) & e0 != op(e2,e1)) | ~sP10),+% 0.08/0.46 inference(nnf_transformation,[],[f17])).+% 0.08/0.46 fof(f92,plain,(+% 0.08/0.46 (e3 != op(e2,e0) & e2 != op(e2,e0) & e1 != op(e2,e0) & e0 != op(e2,e0)) | ~sP9),+% 0.08/0.46 inference(nnf_transformation,[],[f16])).+% 0.08/0.46 fof(f93,plain,(+% 0.08/0.46 (e3 != op(e1,e3) & e2 != op(e1,e3) & e1 != op(e1,e3) & e0 != op(e1,e3)) | ~sP8),+% 0.08/0.46 inference(nnf_transformation,[],[f15])).+% 0.08/0.46 fof(f94,plain,(+% 0.08/0.46 (e3 != op(e1,e2) & e2 != op(e1,e2) & e1 != op(e1,e2) & e0 != op(e1,e2)) | ~sP7),+% 0.08/0.46 inference(nnf_transformation,[],[f14])).+% 0.08/0.46 fof(f95,plain,(+% 0.08/0.46 (e3 != op(e1,e1) & e2 != op(e1,e1) & e1 != op(e1,e1) & e0 != op(e1,e1)) | ~sP6),+% 0.08/0.46 inference(nnf_transformation,[],[f13])).+% 0.08/0.46 fof(f96,plain,(+% 0.08/0.46 (e3 != op(e1,e0) & e2 != op(e1,e0) & e1 != op(e1,e0) & e0 != op(e1,e0)) | ~sP5),+% 0.08/0.46 inference(nnf_transformation,[],[f12])).+% 0.08/0.46 fof(f97,plain,(+% 0.08/0.46 (e3 != op(e0,e3) & e2 != op(e0,e3) & e1 != op(e0,e3) & e0 != op(e0,e3)) | ~sP4),+% 0.08/0.46 inference(nnf_transformation,[],[f11])).+% 0.08/0.46 fof(f98,plain,(+% 0.08/0.46 (e3 != op(e0,e2) & e2 != op(e0,e2) & e1 != op(e0,e2) & e0 != op(e0,e2)) | ~sP3),+% 0.08/0.46 inference(nnf_transformation,[],[f10])).+% 0.08/0.46 fof(f99,plain,(+% 0.08/0.46 (e3 != op(e0,e1) & e2 != op(e0,e1) & e1 != op(e0,e1) & e0 != op(e0,e1)) | ~sP2),+% 0.08/0.46 inference(nnf_transformation,[],[f9])).+% 0.08/0.46 fof(f100,plain,(+% 0.08/0.46 (e3 != op(e0,e0) & e2 != op(e0,e0) & e1 != op(e0,e0) & e0 != op(e0,e0)) | ~sP1),+% 0.08/0.46 inference(nnf_transformation,[],[f8])).+% 0.08/0.46 fof(f101,plain,(+% 0.08/0.46 ((e3 != op(e3,e3) | e3 != op(e2,e2) | e3 != op(e1,e1) | e3 != op(e0,e0)) & (e2 != op(e3,e3) | e2 != op(e2,e2) | e2 != op(e1,e1) | e2 != op(e0,e0)) & (e1 != op(e3,e3) | e1 != op(e2,e2) | e1 != op(e1,e1) | e1 != op(e0,e0)) & (e0 != op(e3,e3) | e0 != op(e2,e2) | e0 != op(e1,e1) | e0 != op(e0,e0))) | ~sP0),+% 0.08/0.46 inference(nnf_transformation,[],[f7])).+% 0.08/0.46 fof(f103,plain,(+% 0.08/0.46 e2 != op(e3,e1) | ~sP46),+% 0.08/0.46 inference(cnf_transformation,[],[f55])).+% 0.08/0.46 fof(f108,plain,(+% 0.08/0.46 e1 != op(e2,e3) | ~sP45),+% 0.08/0.46 inference(cnf_transformation,[],[f56])).+% 0.08/0.46 fof(f112,plain,(+% 0.08/0.46 e1 != op(e3,e2) | ~sP44),+% 0.08/0.46 inference(cnf_transformation,[],[f57])).+% 0.08/0.46 fof(f117,plain,(+% 0.08/0.46 e0 != op(e3,e3) | ~sP43),+% 0.08/0.46 inference(cnf_transformation,[],[f58])).+% 0.08/0.46 fof(f121,plain,(+% 0.08/0.46 e0 != op(e3,e3) | ~sP42),+% 0.08/0.46 inference(cnf_transformation,[],[f59])).+% 0.08/0.46 fof(f123,plain,(+% 0.08/0.46 e3 != op(e1,e2) | ~sP41),+% 0.08/0.46 inference(cnf_transformation,[],[f60])).+% 0.08/0.46 fof(f127,plain,(+% 0.08/0.46 e3 != op(e2,e1) | ~sP40),+% 0.08/0.46 inference(cnf_transformation,[],[f61])).+% 0.08/0.46 fof(f130,plain,(+% 0.08/0.46 e2 != op(e0,e2) | ~sP39),+% 0.08/0.46 inference(cnf_transformation,[],[f62])).+% 0.08/0.46 fof(f134,plain,(+% 0.08/0.46 e2 != op(e2,e0) | ~sP38),+% 0.08/0.46 inference(cnf_transformation,[],[f63])).+% 0.08/0.46 fof(f141,plain,(+% 0.08/0.46 e1 != op(e3,e2) | ~sP37),+% 0.08/0.46 inference(cnf_transformation,[],[f64])).+% 0.08/0.46 fof(f145,plain,(+% 0.08/0.46 e1 != op(e2,e3) | ~sP36),+% 0.08/0.46 inference(cnf_transformation,[],[f65])).+% 0.08/0.46 fof(f148,plain,(+% 0.08/0.46 e0 != op(e2,e2) | ~sP35),+% 0.08/0.46 inference(cnf_transformation,[],[f66])).+% 0.08/0.46 fof(f152,plain,(+% 0.08/0.46 e0 != op(e2,e2) | ~sP34),+% 0.08/0.46 inference(cnf_transformation,[],[f67])).+% 0.08/0.46 fof(f156,plain,(+% 0.08/0.46 e3 != op(e2,e1) | ~sP33),+% 0.08/0.46 inference(cnf_transformation,[],[f68])).+% 0.08/0.46 fof(f160,plain,(+% 0.08/0.46 e3 != op(e1,e2) | ~sP32),+% 0.08/0.46 inference(cnf_transformation,[],[f69])).+% 0.08/0.46 fof(f165,plain,(+% 0.08/0.46 e2 != op(e3,e1) | ~sP31),+% 0.08/0.46 inference(cnf_transformation,[],[f70])).+% 0.08/0.46 fof(f169,plain,(+% 0.08/0.46 e2 != op(e1,e3) | ~sP30),+% 0.08/0.46 inference(cnf_transformation,[],[f71])).+% 0.08/0.46 fof(f170,plain,(+% 0.08/0.46 e1 != op(e0,e1) | ~sP29),+% 0.08/0.46 inference(cnf_transformation,[],[f72])).+% 0.08/0.46 fof(f174,plain,(+% 0.08/0.46 e1 != op(e1,e0) | ~sP28),+% 0.08/0.46 inference(cnf_transformation,[],[f73])).+% 0.08/0.46 fof(f179,plain,(+% 0.08/0.46 e0 != op(e1,e1) | ~sP27),+% 0.08/0.46 inference(cnf_transformation,[],[f74])).+% 0.08/0.46 fof(f183,plain,(+% 0.08/0.46 e0 != op(e1,e1) | ~sP26),+% 0.08/0.46 inference(cnf_transformation,[],[f75])).+% 0.08/0.46 fof(f189,plain,(+% 0.08/0.46 e3 != op(e3,e0) | ~sP25),+% 0.08/0.46 inference(cnf_transformation,[],[f76])).+% 0.08/0.46 fof(f193,plain,(+% 0.08/0.46 e3 != op(e0,e3) | ~sP24),+% 0.08/0.46 inference(cnf_transformation,[],[f77])).+% 0.08/0.46 fof(f196,plain,(+% 0.08/0.46 e2 != op(e2,e0) | ~sP23),+% 0.08/0.46 inference(cnf_transformation,[],[f78])).+% 0.08/0.46 fof(f200,plain,(+% 0.08/0.46 e2 != op(e0,e2) | ~sP22),+% 0.08/0.46 inference(cnf_transformation,[],[f79])).+% 0.08/0.46 fof(f203,plain,(+% 0.08/0.46 e1 != op(e1,e0) | ~sP21),+% 0.08/0.46 inference(cnf_transformation,[],[f80])).+% 0.08/0.46 fof(f207,plain,(+% 0.08/0.46 e1 != op(e0,e1) | ~sP20),+% 0.08/0.46 inference(cnf_transformation,[],[f81])).+% 0.08/0.46 fof(f210,plain,(+% 0.08/0.46 e0 != op(e0,e0) | ~sP19),+% 0.08/0.46 inference(cnf_transformation,[],[f82])).+% 0.08/0.46 fof(f214,plain,(+% 0.08/0.46 e0 != op(e0,e0) | ~sP18),+% 0.08/0.46 inference(cnf_transformation,[],[f83])).+% 0.08/0.46 fof(f218,plain,(+% 0.08/0.46 e0 != unit | ~sP17),+% 0.08/0.46 inference(cnf_transformation,[],[f84])).+% 0.08/0.46 fof(f222,plain,(+% 0.08/0.46 e0 != op(e3,e3) | ~sP16),+% 0.08/0.46 inference(cnf_transformation,[],[f85])).+% 0.08/0.46 fof(f227,plain,(+% 0.08/0.46 e1 != op(e3,e2) | ~sP15),+% 0.08/0.46 inference(cnf_transformation,[],[f86])).+% 0.08/0.46 fof(f232,plain,(+% 0.08/0.46 e2 != op(e3,e1) | ~sP14),+% 0.08/0.46 inference(cnf_transformation,[],[f87])).+% 0.08/0.46 fof(f237,plain,(+% 0.08/0.46 e3 != op(e3,e0) | ~sP13),+% 0.08/0.46 inference(cnf_transformation,[],[f88])).+% 0.08/0.46 fof(f239,plain,(+% 0.08/0.46 e1 != op(e2,e3) | ~sP12),+% 0.08/0.46 inference(cnf_transformation,[],[f89])).+% 0.08/0.46 fof(f242,plain,(+% 0.08/0.46 e0 != op(e2,e2) | ~sP11),+% 0.08/0.46 inference(cnf_transformation,[],[f90])).+% 0.08/0.46 fof(f249,plain,(+% 0.08/0.46 e3 != op(e2,e1) | ~sP10),+% 0.08/0.46 inference(cnf_transformation,[],[f91])).+% 0.08/0.46 fof(f252,plain,(+% 0.08/0.46 e2 != op(e2,e0) | ~sP9),+% 0.08/0.46 inference(cnf_transformation,[],[f92])).+% 0.08/0.46 fof(f256,plain,(+% 0.08/0.46 e2 != op(e1,e3) | ~sP8),+% 0.08/0.46 inference(cnf_transformation,[],[f93])).+% 0.08/0.46 fof(f261,plain,(+% 0.08/0.46 e3 != op(e1,e2) | ~sP7),+% 0.08/0.46 inference(cnf_transformation,[],[f94])).+% 0.08/0.46 fof(f262,plain,(+% 0.08/0.46 e0 != op(e1,e1) | ~sP6),+% 0.08/0.46 inference(cnf_transformation,[],[f95])).+% 0.08/0.46 fof(f267,plain,(+% 0.08/0.46 e1 != op(e1,e0) | ~sP5),+% 0.08/0.46 inference(cnf_transformation,[],[f96])).+% 0.08/0.46 fof(f273,plain,(+% 0.08/0.46 e3 != op(e0,e3) | ~sP4),+% 0.08/0.46 inference(cnf_transformation,[],[f97])).+% 0.08/0.46 fof(f276,plain,(+% 0.08/0.46 e2 != op(e0,e2) | ~sP3),+% 0.08/0.46 inference(cnf_transformation,[],[f98])).+% 0.08/0.46 fof(f279,plain,(+% 0.08/0.46 e1 != op(e0,e1) | ~sP2),+% 0.08/0.46 inference(cnf_transformation,[],[f99])).+% 0.08/0.46 fof(f282,plain,(+% 0.08/0.46 e0 != op(e0,e0) | ~sP1),+% 0.08/0.46 inference(cnf_transformation,[],[f100])).+% 0.08/0.46 fof(f286,plain,(+% 0.08/0.46 e0 != op(e3,e3) | e0 != op(e2,e2) | e0 != op(e1,e1) | e0 != op(e0,e0) | ~sP0),+% 0.08/0.46 inference(cnf_transformation,[],[f101])).+% 0.08/0.46 fof(f291,plain,(+% 0.08/0.46 e3 != op(e0,e3) | e3 != op(e3,e0) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP29 | sP28 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | sP20 | sP19 | sP18 | sP17 | e3 != op(e3,unit) | e3 != op(unit,e3) | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | e0 != op(e0,unit) | e0 != op(unit,e0) | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP2 | sP1 | sP0),+% 0.08/0.46 inference(cnf_transformation,[],[f54])).+% 0.08/0.46 fof(f354,plain,(+% 0.08/0.46 e0 = unit),+% 0.08/0.46 inference(cnf_transformation,[],[f3])).+% 0.08/0.46 fof(f361,plain,(+% 0.08/0.46 e0 = op(e0,e0)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f362,plain,(+% 0.08/0.46 e1 = op(e0,e1)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f363,plain,(+% 0.08/0.46 e2 = op(e0,e2)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f364,plain,(+% 0.08/0.46 e3 = op(e0,e3)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f365,plain,(+% 0.08/0.46 e1 = op(e1,e0)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f366,plain,(+% 0.08/0.46 e0 = op(e1,e1)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f367,plain,(+% 0.08/0.46 e3 = op(e1,e2)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f368,plain,(+% 0.08/0.46 e2 = op(e1,e3)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f369,plain,(+% 0.08/0.46 e2 = op(e2,e0)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f370,plain,(+% 0.08/0.46 e3 = op(e2,e1)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f371,plain,(+% 0.08/0.46 e0 = op(e2,e2)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f372,plain,(+% 0.08/0.46 e1 = op(e2,e3)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f373,plain,(+% 0.08/0.46 e3 = op(e3,e0)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f374,plain,(+% 0.08/0.46 e2 = op(e3,e1)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f375,plain,(+% 0.08/0.46 e1 = op(e3,e2)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f376,plain,(+% 0.08/0.46 e0 = op(e3,e3)),+% 0.08/0.46 inference(cnf_transformation,[],[f2])).+% 0.08/0.46 fof(f380,plain,(+% 0.08/0.46 op(e3,e3) != unit | ~sP43),+% 0.08/0.46 inference(definition_unfolding,[],[f117,f354])).+% 0.08/0.46 fof(f384,plain,(+% 0.08/0.46 op(e3,e3) != unit | ~sP42),+% 0.08/0.46 inference(definition_unfolding,[],[f121,f354])).+% 0.08/0.46 fof(f390,plain,(+% 0.08/0.46 e2 != op(unit,e2) | ~sP39),+% 0.08/0.46 inference(definition_unfolding,[],[f130,f354])).+% 0.08/0.46 fof(f391,plain,(+% 0.08/0.46 e2 != op(e2,unit) | ~sP38),+% 0.08/0.46 inference(definition_unfolding,[],[f134,f354])).+% 0.08/0.46 fof(f395,plain,(+% 0.08/0.46 op(e2,e2) != unit | ~sP35),+% 0.08/0.46 inference(definition_unfolding,[],[f148,f354])).+% 0.08/0.46 fof(f399,plain,(+% 0.08/0.46 op(e2,e2) != unit | ~sP34),+% 0.08/0.46 inference(definition_unfolding,[],[f152,f354])).+% 0.08/0.46 fof(f406,plain,(+% 0.08/0.46 e1 != op(unit,e1) | ~sP29),+% 0.08/0.46 inference(definition_unfolding,[],[f170,f354])).+% 0.08/0.46 fof(f407,plain,(+% 0.08/0.46 e1 != op(e1,unit) | ~sP28),+% 0.08/0.46 inference(definition_unfolding,[],[f174,f354])).+% 0.08/0.46 fof(f410,plain,(+% 0.08/0.46 op(e1,e1) != unit | ~sP27),+% 0.08/0.46 inference(definition_unfolding,[],[f179,f354])).+% 0.08/0.46 fof(f414,plain,(+% 0.08/0.46 op(e1,e1) != unit | ~sP26),+% 0.08/0.46 inference(definition_unfolding,[],[f183,f354])).+% 0.08/0.46 fof(f416,plain,(+% 0.08/0.46 e3 != op(e3,unit) | ~sP25),+% 0.08/0.46 inference(definition_unfolding,[],[f189,f354])).+% 0.08/0.46 fof(f420,plain,(+% 0.08/0.46 e3 != op(unit,e3) | ~sP24),+% 0.08/0.46 inference(definition_unfolding,[],[f193,f354])).+% 0.08/0.46 fof(f425,plain,(+% 0.08/0.46 e2 != op(e2,unit) | ~sP23),+% 0.08/0.46 inference(definition_unfolding,[],[f196,f354])).+% 0.08/0.46 fof(f429,plain,(+% 0.08/0.46 e2 != op(unit,e2) | ~sP22),+% 0.08/0.46 inference(definition_unfolding,[],[f200,f354])).+% 0.08/0.46 fof(f434,plain,(+% 0.08/0.46 e1 != op(e1,unit) | ~sP21),+% 0.08/0.46 inference(definition_unfolding,[],[f203,f354])).+% 0.08/0.46 fof(f438,plain,(+% 0.08/0.46 e1 != op(unit,e1) | ~sP20),+% 0.08/0.46 inference(definition_unfolding,[],[f207,f354])).+% 0.08/0.46 fof(f443,plain,(+% 0.08/0.46 op(unit,unit) != unit | ~sP19),+% 0.08/0.46 inference(definition_unfolding,[],[f210,f354,f354,f354])).+% 0.08/0.46 fof(f447,plain,(+% 0.08/0.46 op(unit,unit) != unit | ~sP18),+% 0.08/0.46 inference(definition_unfolding,[],[f214,f354,f354,f354])).+% 0.08/0.46 fof(f448,plain,(+% 0.08/0.46 unit != unit | ~sP17),+% 0.08/0.46 inference(definition_unfolding,[],[f218,f354])).+% 0.08/0.46 fof(f449,plain,(+% 0.08/0.46 op(e3,e3) != unit | ~sP16),+% 0.08/0.46 inference(definition_unfolding,[],[f222,f354])).+% 0.08/0.46 fof(f452,plain,(+% 0.08/0.46 e3 != op(e3,unit) | ~sP13),+% 0.08/0.46 inference(definition_unfolding,[],[f237,f354])).+% 0.08/0.46 fof(f457,plain,(+% 0.08/0.46 op(e2,e2) != unit | ~sP11),+% 0.08/0.46 inference(definition_unfolding,[],[f242,f354])).+% 0.08/0.46 fof(f460,plain,(+% 0.08/0.46 e2 != op(e2,unit) | ~sP9),+% 0.08/0.46 inference(definition_unfolding,[],[f252,f354])).+% 0.08/0.46 fof(f465,plain,(+% 0.08/0.46 op(e1,e1) != unit | ~sP6),+% 0.08/0.46 inference(definition_unfolding,[],[f262,f354])).+% 0.08/0.46 fof(f468,plain,(+% 0.08/0.46 e1 != op(e1,unit) | ~sP5),+% 0.08/0.46 inference(definition_unfolding,[],[f267,f354])).+% 0.08/0.46 fof(f470,plain,(+% 0.08/0.46 e3 != op(unit,e3) | ~sP4),+% 0.08/0.46 inference(definition_unfolding,[],[f273,f354])).+% 0.08/0.46 fof(f475,plain,(+% 0.08/0.46 e2 != op(unit,e2) | ~sP3),+% 0.08/0.46 inference(definition_unfolding,[],[f276,f354])).+% 0.08/0.46 fof(f480,plain,(+% 0.08/0.46 e1 != op(unit,e1) | ~sP2),+% 0.08/0.46 inference(definition_unfolding,[],[f279,f354])).+% 0.08/0.46 fof(f485,plain,(+% 0.08/0.46 op(unit,unit) != unit | ~sP1),+% 0.08/0.46 inference(definition_unfolding,[],[f282,f354,f354,f354])).+% 0.08/0.46 fof(f489,plain,(+% 0.08/0.46 op(e3,e3) != unit | op(e2,e2) != unit | op(e1,e1) != unit | op(unit,unit) != unit | ~sP0),+% 0.08/0.46 inference(definition_unfolding,[],[f286,f354,f354,f354,f354,f354,f354])).+% 0.08/0.46 fof(f552,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP29 | sP28 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | sP20 | sP19 | sP18 | sP17 | e3 != op(e3,unit) | e3 != op(unit,e3) | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP2 | sP1 | sP0),+% 0.08/0.46 inference(definition_unfolding,[],[f291,f354,f354,f354,f354,f354,f354])).+% 0.08/0.46 fof(f557,plain,(+% 0.08/0.46 op(e3,e3) = unit),+% 0.08/0.46 inference(definition_unfolding,[],[f376,f354])).+% 0.08/0.46 fof(f558,plain,(+% 0.08/0.46 e3 = op(e3,unit)),+% 0.08/0.46 inference(definition_unfolding,[],[f373,f354])).+% 0.08/0.46 fof(f559,plain,(+% 0.08/0.46 op(e2,e2) = unit),+% 0.08/0.46 inference(definition_unfolding,[],[f371,f354])).+% 0.08/0.46 fof(f560,plain,(+% 0.08/0.46 e2 = op(e2,unit)),+% 0.08/0.46 inference(definition_unfolding,[],[f369,f354])).+% 0.08/0.46 fof(f561,plain,(+% 0.08/0.46 op(e1,e1) = unit),+% 0.08/0.46 inference(definition_unfolding,[],[f366,f354])).+% 0.08/0.46 fof(f562,plain,(+% 0.08/0.46 e1 = op(e1,unit)),+% 0.08/0.46 inference(definition_unfolding,[],[f365,f354])).+% 0.08/0.46 fof(f563,plain,(+% 0.08/0.46 e3 = op(unit,e3)),+% 0.08/0.46 inference(definition_unfolding,[],[f364,f354])).+% 0.08/0.46 fof(f564,plain,(+% 0.08/0.46 e2 = op(unit,e2)),+% 0.08/0.46 inference(definition_unfolding,[],[f363,f354])).+% 0.08/0.46 fof(f565,plain,(+% 0.08/0.46 e1 = op(unit,e1)),+% 0.08/0.46 inference(definition_unfolding,[],[f362,f354])).+% 0.08/0.46 fof(f566,plain,(+% 0.08/0.46 op(unit,unit) = unit),+% 0.08/0.46 inference(definition_unfolding,[],[f361,f354,f354,f354])).+% 0.08/0.46 fof(f568,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP29 | sP28 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | sP20 | sP19 | sP18 | sP17 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP2 | sP1 | sP0),+% 0.08/0.46 inference(duplicate_literal_removal,[],[f552])).+% 0.08/0.46 fof(f631,plain,(+% 0.08/0.46 ~sP17),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f448])).+% 0.08/0.46 fof(f1912,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP29 | sP28 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | sP20 | sP19 | sP18 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP2 | sP1 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f568,f631])).+% 0.08/0.46 fof(f1913,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP29 | sP28 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | sP20 | sP19 | sP18 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP2 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1912,f485])).+% 0.08/0.46 fof(f1914,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP29 | sP28 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | sP20 | sP19 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP2 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1913,f447])).+% 0.08/0.46 fof(f1915,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP29 | sP28 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | sP20 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP2 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1914,f443])).+% 0.08/0.46 fof(f1916,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP28 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | sP20 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP2 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1915,f406])).+% 0.08/0.46 fof(f1917,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP28 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP2 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1916,f438])).+% 0.08/0.46 fof(f1918,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP28 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1917,f480])).+% 0.08/0.46 fof(f1919,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | sP21 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1918,f407])).+% 0.08/0.46 fof(f1920,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP5 | sP4 | sP3 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1919,f434])).+% 0.08/0.46 fof(f1921,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP39 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP4 | sP3 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1920,f468])).+% 0.08/0.46 fof(f1922,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP27 | sP26 | sP25 | sP24 | sP23 | sP22 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP4 | sP3 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1921,f390])).+% 0.08/0.46 fof(f1923,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP27 | sP26 | sP25 | sP24 | sP23 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP4 | sP3 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1922,f429])).+% 0.08/0.46 fof(f1924,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP38 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP27 | sP26 | sP25 | sP24 | sP23 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP4 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1923,f475])).+% 0.08/0.46 fof(f1925,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP27 | sP26 | sP25 | sP24 | sP23 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP4 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1924,f391])).+% 0.08/0.46 fof(f1926,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP27 | sP26 | sP25 | sP24 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP9 | sP8 | sP7 | sP6 | sP4 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1925,f425])).+% 0.08/0.46 fof(f1927,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP30 | sP27 | sP26 | sP25 | sP24 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP8 | sP7 | sP6 | sP4 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1926,f460])).+% 0.08/0.46 fof(f1928,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | sP25 | sP24 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP8 | sP7 | sP6 | sP4 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1927,f169])).+% 0.08/0.46 fof(f1929,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | sP25 | sP24 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP7 | sP6 | sP4 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1928,f256])).+% 0.08/0.46 fof(f1930,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | sP24 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP13 | sP12 | sP11 | sP10 | sP7 | sP6 | sP4 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1929,f416])).+% 0.08/0.46 fof(f1931,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | sP24 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP4 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1930,f452])).+% 0.08/0.46 fof(f1932,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP4 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1931,f420])).+% 0.08/0.46 fof(f1933,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e3 != op(e3,unit) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f1932,f470])).+% 0.08/0.46 fof(f1963,plain,(+% 0.08/0.46 unit != unit | ~sP43),+% 0.08/0.46 inference(backward_demodulation,[],[f557,f380])).+% 0.08/0.46 fof(f1964,plain,(+% 0.08/0.46 unit != unit | ~sP42),+% 0.08/0.46 inference(backward_demodulation,[],[f557,f384])).+% 0.08/0.46 fof(f1965,plain,(+% 0.08/0.46 unit != unit | ~sP16),+% 0.08/0.46 inference(backward_demodulation,[],[f557,f449])).+% 0.08/0.46 fof(f1969,plain,(+% 0.08/0.46 unit != unit | op(e2,e2) != unit | op(e1,e1) != unit | op(unit,unit) != unit | ~sP0),+% 0.08/0.46 inference(backward_demodulation,[],[f557,f489])).+% 0.08/0.46 fof(f1981,plain,(+% 0.08/0.46 op(e2,e2) != unit | op(e1,e1) != unit | op(unit,unit) != unit | ~sP0),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f1969])).+% 0.08/0.46 fof(f1982,plain,(+% 0.08/0.46 ~sP16),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f1965])).+% 0.08/0.46 fof(f1983,plain,(+% 0.08/0.46 ~sP42),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f1964])).+% 0.08/0.46 fof(f1984,plain,(+% 0.08/0.46 ~sP43),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f1963])).+% 0.08/0.46 fof(f1986,plain,(+% 0.08/0.46 e1 != e1 | ~sP44),+% 0.08/0.46 inference(backward_demodulation,[],[f375,f112])).+% 0.08/0.46 fof(f1989,plain,(+% 0.08/0.46 e1 != e1 | ~sP37),+% 0.08/0.46 inference(backward_demodulation,[],[f375,f141])).+% 0.08/0.46 fof(f1990,plain,(+% 0.08/0.46 e1 != e1 | ~sP15),+% 0.08/0.46 inference(backward_demodulation,[],[f375,f227])).+% 0.08/0.46 fof(f2000,plain,(+% 0.08/0.46 ~sP15),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f1990])).+% 0.08/0.46 fof(f2001,plain,(+% 0.08/0.46 ~sP37),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f1989])).+% 0.08/0.46 fof(f2002,plain,(+% 0.08/0.46 ~sP44),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f1986])).+% 0.08/0.46 fof(f2003,plain,(+% 0.08/0.46 e2 != e2 | ~sP46),+% 0.08/0.46 inference(backward_demodulation,[],[f374,f103])).+% 0.08/0.46 fof(f2006,plain,(+% 0.08/0.46 e2 != e2 | ~sP31),+% 0.08/0.46 inference(backward_demodulation,[],[f374,f165])).+% 0.08/0.46 fof(f2009,plain,(+% 0.08/0.46 e2 != e2 | ~sP14),+% 0.08/0.46 inference(backward_demodulation,[],[f374,f232])).+% 0.08/0.46 fof(f2018,plain,(+% 0.08/0.46 ~sP14),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2009])).+% 0.08/0.46 fof(f2019,plain,(+% 0.08/0.46 ~sP31),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2006])).+% 0.08/0.46 fof(f2020,plain,(+% 0.08/0.46 ~sP46),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2003])).+% 0.08/0.46 fof(f2035,plain,(+% 0.08/0.46 e3 != e3 | e3 != op(unit,e3) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(backward_demodulation,[],[f558,f1933])).+% 0.08/0.46 fof(f2036,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP46 | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2035])).+% 0.08/0.46 fof(f2069,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP45 | sP44 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2036,f2020])).+% 0.08/0.46 fof(f2070,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP45 | sP43 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2069,f2002])).+% 0.08/0.46 fof(f2071,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP45 | sP42 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2070,f1984])).+% 0.08/0.46 fof(f2072,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP45 | sP41 | sP40 | sP37 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2071,f1983])).+% 0.08/0.46 fof(f2073,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP45 | sP41 | sP40 | sP36 | sP35 | sP34 | sP33 | sP32 | sP31 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2072,f2001])).+% 0.08/0.46 fof(f2074,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP45 | sP41 | sP40 | sP36 | sP35 | sP34 | sP33 | sP32 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP16 | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2073,f2019])).+% 0.08/0.46 fof(f2075,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP45 | sP41 | sP40 | sP36 | sP35 | sP34 | sP33 | sP32 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP15 | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2074,f1982])).+% 0.08/0.46 fof(f2076,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP45 | sP41 | sP40 | sP36 | sP35 | sP34 | sP33 | sP32 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP14 | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2075,f2000])).+% 0.08/0.46 fof(f2077,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP45 | sP41 | sP40 | sP36 | sP35 | sP34 | sP33 | sP32 | sP27 | sP26 | e2 != op(e2,unit) | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2076,f2018])).+% 0.08/0.46 fof(f2078,plain,(+% 0.08/0.46 e1 != e1 | ~sP45),+% 0.08/0.46 inference(backward_demodulation,[],[f372,f108])).+% 0.08/0.46 fof(f2081,plain,(+% 0.08/0.46 e1 != e1 | ~sP36),+% 0.08/0.46 inference(backward_demodulation,[],[f372,f145])).+% 0.08/0.46 fof(f2082,plain,(+% 0.08/0.46 e1 != e1 | ~sP12),+% 0.08/0.46 inference(backward_demodulation,[],[f372,f239])).+% 0.08/0.46 fof(f2091,plain,(+% 0.08/0.46 ~sP12),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2082])).+% 0.08/0.46 fof(f2092,plain,(+% 0.08/0.46 ~sP36),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2081])).+% 0.08/0.46 fof(f2093,plain,(+% 0.08/0.46 ~sP45),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2078])).+% 0.08/0.46 fof(f2103,plain,(+% 0.08/0.46 unit != unit | ~sP35),+% 0.08/0.46 inference(backward_demodulation,[],[f559,f395])).+% 0.08/0.46 fof(f2104,plain,(+% 0.08/0.46 unit != unit | ~sP34),+% 0.08/0.46 inference(backward_demodulation,[],[f559,f399])).+% 0.08/0.46 fof(f2105,plain,(+% 0.08/0.46 unit != unit | ~sP11),+% 0.08/0.46 inference(backward_demodulation,[],[f559,f457])).+% 0.08/0.46 fof(f2114,plain,(+% 0.08/0.46 unit != unit | op(e1,e1) != unit | op(unit,unit) != unit | ~sP0),+% 0.08/0.46 inference(backward_demodulation,[],[f559,f1981])).+% 0.08/0.46 fof(f2115,plain,(+% 0.08/0.46 op(e1,e1) != unit | op(unit,unit) != unit | ~sP0),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2114])).+% 0.08/0.46 fof(f2116,plain,(+% 0.08/0.46 ~sP11),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2105])).+% 0.08/0.46 fof(f2117,plain,(+% 0.08/0.46 ~sP34),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2104])).+% 0.08/0.46 fof(f2118,plain,(+% 0.08/0.46 ~sP35),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2103])).+% 0.08/0.46 fof(f2119,plain,(+% 0.08/0.46 e3 != e3 | ~sP40),+% 0.08/0.46 inference(backward_demodulation,[],[f370,f127])).+% 0.08/0.46 fof(f2122,plain,(+% 0.08/0.46 e3 != e3 | ~sP33),+% 0.08/0.46 inference(backward_demodulation,[],[f370,f156])).+% 0.08/0.46 fof(f2127,plain,(+% 0.08/0.46 e3 != e3 | ~sP10),+% 0.08/0.46 inference(backward_demodulation,[],[f370,f249])).+% 0.08/0.46 fof(f2135,plain,(+% 0.08/0.46 ~sP10),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2127])).+% 0.08/0.46 fof(f2136,plain,(+% 0.08/0.46 ~sP33),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2122])).+% 0.08/0.46 fof(f2137,plain,(+% 0.08/0.46 ~sP40),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2119])).+% 0.08/0.46 fof(f2152,plain,(+% 0.08/0.46 e2 != e2 | e3 != op(unit,e3) | e2 != op(e1,e3) | sP45 | sP41 | sP40 | sP36 | sP35 | sP34 | sP33 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(backward_demodulation,[],[f560,f2077])).+% 0.08/0.46 fof(f2153,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP45 | sP41 | sP40 | sP36 | sP35 | sP34 | sP33 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2152])).+% 0.08/0.46 fof(f2159,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP41 | sP40 | sP36 | sP35 | sP34 | sP33 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2153,f2093])).+% 0.08/0.46 fof(f2160,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP41 | sP36 | sP35 | sP34 | sP33 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2159,f2137])).+% 0.08/0.46 fof(f2161,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP41 | sP35 | sP34 | sP33 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2160,f2092])).+% 0.08/0.46 fof(f2162,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP41 | sP34 | sP33 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2161,f2118])).+% 0.08/0.46 fof(f2163,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP41 | sP33 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2162,f2117])).+% 0.08/0.46 fof(f2164,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP41 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP12 | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2163,f2136])).+% 0.08/0.46 fof(f2165,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP41 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP11 | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2164,f2091])).+% 0.08/0.46 fof(f2166,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP41 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP10 | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2165,f2116])).+% 0.08/0.46 fof(f2167,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(e1,e3) | sP41 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2166,f2135])).+% 0.08/0.46 fof(f2178,plain,(+% 0.08/0.46 e2 != e2 | e3 != op(unit,e3) | sP41 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP7 | sP6 | sP0),+% 0.08/0.46 inference(backward_demodulation,[],[f368,f2167])).+% 0.08/0.46 fof(f2179,plain,(+% 0.08/0.46 e3 != op(unit,e3) | sP41 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(e1,unit) | e1 != op(unit,e1) | op(unit,unit) != unit | sP7 | sP6 | sP0),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2178])).+% 0.08/0.46 fof(f2182,plain,(+% 0.08/0.46 e3 != e3 | ~sP41),+% 0.08/0.46 inference(backward_demodulation,[],[f367,f123])).+% 0.08/0.46 fof(f2185,plain,(+% 0.08/0.46 e3 != e3 | ~sP32),+% 0.08/0.46 inference(backward_demodulation,[],[f367,f160])).+% 0.08/0.46 fof(f2190,plain,(+% 0.08/0.46 e3 != e3 | ~sP7),+% 0.08/0.46 inference(backward_demodulation,[],[f367,f261])).+% 0.08/0.46 fof(f2194,plain,(+% 0.08/0.46 ~sP7),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2190])).+% 0.08/0.46 fof(f2195,plain,(+% 0.08/0.46 ~sP32),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2185])).+% 0.08/0.46 fof(f2196,plain,(+% 0.08/0.46 ~sP41),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2182])).+% 0.08/0.46 fof(f2206,plain,(+% 0.08/0.46 unit != unit | ~sP27),+% 0.08/0.46 inference(backward_demodulation,[],[f561,f410])).+% 0.08/0.46 fof(f2207,plain,(+% 0.08/0.46 unit != unit | ~sP26),+% 0.08/0.46 inference(backward_demodulation,[],[f561,f414])).+% 0.08/0.46 fof(f2208,plain,(+% 0.08/0.46 unit != unit | ~sP6),+% 0.08/0.46 inference(backward_demodulation,[],[f561,f465])).+% 0.08/0.46 fof(f2209,plain,(+% 0.08/0.46 unit != unit | op(unit,unit) != unit | ~sP0),+% 0.08/0.46 inference(backward_demodulation,[],[f561,f2115])).+% 0.08/0.46 fof(f2210,plain,(+% 0.08/0.46 op(unit,unit) != unit | ~sP0),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2209])).+% 0.08/0.46 fof(f2211,plain,(+% 0.08/0.46 ~sP6),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2208])).+% 0.08/0.46 fof(f2212,plain,(+% 0.08/0.46 ~sP26),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2207])).+% 0.08/0.46 fof(f2213,plain,(+% 0.08/0.46 ~sP27),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2206])).+% 0.08/0.46 fof(f2226,plain,(+% 0.08/0.46 e1 != e1 | e3 != op(unit,e3) | sP41 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(unit,e1) | op(unit,unit) != unit | sP7 | sP6 | sP0),+% 0.08/0.46 inference(backward_demodulation,[],[f562,f2179])).+% 0.08/0.46 fof(f2227,plain,(+% 0.08/0.46 e3 != op(unit,e3) | sP41 | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(unit,e1) | op(unit,unit) != unit | sP7 | sP6 | sP0),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2226])).+% 0.08/0.46 fof(f2231,plain,(+% 0.08/0.46 e3 != op(unit,e3) | sP32 | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(unit,e1) | op(unit,unit) != unit | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2227,f2196])).+% 0.08/0.46 fof(f2232,plain,(+% 0.08/0.46 e3 != op(unit,e3) | sP27 | sP26 | e2 != op(unit,e2) | e1 != op(unit,e1) | op(unit,unit) != unit | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2231,f2195])).+% 0.08/0.46 fof(f2233,plain,(+% 0.08/0.46 e3 != op(unit,e3) | sP26 | e2 != op(unit,e2) | e1 != op(unit,e1) | op(unit,unit) != unit | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2232,f2213])).+% 0.08/0.46 fof(f2234,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(unit,e2) | e1 != op(unit,e1) | op(unit,unit) != unit | sP7 | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2233,f2212])).+% 0.08/0.46 fof(f2235,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(unit,e2) | e1 != op(unit,e1) | op(unit,unit) != unit | sP6 | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2234,f2194])).+% 0.08/0.46 fof(f2236,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(unit,e2) | e1 != op(unit,e1) | op(unit,unit) != unit | sP0),+% 0.08/0.46 inference(subsumption_resolution,[],[f2235,f2211])).+% 0.08/0.46 fof(f2237,plain,(+% 0.08/0.46 e3 != op(unit,e3) | e2 != op(unit,e2) | e1 != op(unit,e1) | op(unit,unit) != unit),+% 0.08/0.46 inference(subsumption_resolution,[],[f2236,f2210])).+% 0.08/0.46 fof(f2248,plain,(+% 0.08/0.46 e3 != e3 | e2 != op(unit,e2) | e1 != op(unit,e1) | op(unit,unit) != unit),+% 0.08/0.46 inference(backward_demodulation,[],[f563,f2237])).+% 0.08/0.46 fof(f2249,plain,(+% 0.08/0.46 e2 != op(unit,e2) | e1 != op(unit,e1) | op(unit,unit) != unit),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2248])).+% 0.08/0.46 fof(f2264,plain,(+% 0.08/0.46 e2 != e2 | e1 != op(unit,e1) | op(unit,unit) != unit),+% 0.08/0.46 inference(backward_demodulation,[],[f564,f2249])).+% 0.08/0.46 fof(f2265,plain,(+% 0.08/0.46 e1 != op(unit,e1) | op(unit,unit) != unit),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2264])).+% 0.08/0.46 fof(f2281,plain,(+% 0.08/0.46 e1 != e1 | op(unit,unit) != unit),+% 0.08/0.46 inference(backward_demodulation,[],[f565,f2265])).+% 0.08/0.46 fof(f2282,plain,(+% 0.08/0.46 op(unit,unit) != unit),+% 0.08/0.46 inference(trivial_inequality_removal,[],[f2281])).+% 0.08/0.46 fof(f2286,plain,(+% 0.08/0.46 $false),+% 0.08/0.46 inference(subsumption_resolution,[],[f566,f2282])).+% 0.08/0.46 % SZS output end Proof for theBenchmark+% 0.08/0.46 % ------------------------------+% 0.08/0.46 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)+% 0.08/0.46 % Termination reason: Refutation+% 0.08/0.46 +% 0.08/0.46 % Memory used [KB]: 1535+% 0.08/0.46 % Time elapsed: 0.178 s+% 0.08/0.46 % ------------------------------+% 0.08/0.46 % ------------------------------+% 0.08/0.46 % Success in time 0.214 s+%------------------------------------------------------------------------------
+ test-data/tstp/fof/ALG107+1---iProver---2.8.THM-CRf.s view
@@ -0,0 +1,27638 @@+%------------------------------------------------------------------------------+% File : iProver---2.8+% Problem : ALG107+1 : TPTP v7.1.0. Released v2.7.0.+% Transform : none+% Format : tptp:raw+% Command : iproveropt_run.sh %d %s++% Computer : n026.star.cs.uiowa.edu+% Model : x86_64 x86_64+% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz+% Memory : 32218.625MB+% OS : Linux 3.10.0-693.2.2.el7.x86_64+% CPULimit : 300s+% DateTime : Fri Aug 31 11:49:20 EDT 2018++% Result : Theorem 215.56s+% Output : CNFRefutation 220.68s+% Verified : +% Statistics : ERROR: Analysing output (Could not find formula named c_138026)++% Comments : +%------------------------------------------------------------------------------+%----WARNING: iProver---2.8 format not known, defaulting to TPTP+fof(f13,axiom,+ ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = e23+ & op2(e22,op2(e22,e22)) = e21+ & e20 = op2(e22,e22) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f317,plain,(+ op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = e23 ),+ inference(cnf_transformation,[],[f13])).++fof(f16,axiom,+ ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13)+ & op2(e22,op2(e22,e22)) = h3(e11)+ & op2(e22,e22) = h3(e10)+ & e22 = h3(e12) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f329,plain,(+ op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13) ),+ inference(cnf_transformation,[],[f16])).++fof(f1,axiom,+ ( ( op1(e13,e13) = e13+ | op1(e13,e13) = e12+ | op1(e13,e13) = e11+ | e10 = op1(e13,e13) )+ & ( op1(e13,e12) = e13+ | op1(e13,e12) = e12+ | op1(e13,e12) = e11+ | e10 = op1(e13,e12) )+ & ( op1(e13,e11) = e13+ | op1(e13,e11) = e12+ | op1(e13,e11) = e11+ | e10 = op1(e13,e11) )+ & ( op1(e13,e10) = e13+ | op1(e13,e10) = e12+ | op1(e13,e10) = e11+ | e10 = op1(e13,e10) )+ & ( op1(e12,e13) = e13+ | op1(e12,e13) = e12+ | op1(e12,e13) = e11+ | e10 = op1(e12,e13) )+ & ( op1(e12,e12) = e13+ | op1(e12,e12) = e12+ | op1(e12,e12) = e11+ | e10 = op1(e12,e12) )+ & ( op1(e12,e11) = e13+ | op1(e12,e11) = e12+ | op1(e12,e11) = e11+ | e10 = op1(e12,e11) )+ & ( op1(e12,e10) = e13+ | op1(e12,e10) = e12+ | op1(e12,e10) = e11+ | e10 = op1(e12,e10) )+ & ( op1(e11,e13) = e13+ | op1(e11,e13) = e12+ | op1(e11,e13) = e11+ | e10 = op1(e11,e13) )+ & ( op1(e11,e12) = e13+ | op1(e11,e12) = e12+ | op1(e11,e12) = e11+ | e10 = op1(e11,e12) )+ & ( op1(e11,e11) = e13+ | op1(e11,e11) = e12+ | op1(e11,e11) = e11+ | e10 = op1(e11,e11) )+ & ( op1(e11,e10) = e13+ | op1(e11,e10) = e12+ | op1(e11,e10) = e11+ | e10 = op1(e11,e10) )+ & ( op1(e10,e13) = e13+ | op1(e10,e13) = e12+ | op1(e10,e13) = e11+ | e10 = op1(e10,e13) )+ & ( op1(e10,e12) = e13+ | op1(e10,e12) = e12+ | op1(e10,e12) = e11+ | e10 = op1(e10,e12) )+ & ( op1(e10,e11) = e13+ | op1(e10,e11) = e12+ | op1(e10,e11) = e11+ | e10 = op1(e10,e11) )+ & ( op1(e10,e10) = e13+ | op1(e10,e10) = e12+ | op1(e10,e10) = e11+ | e10 = op1(e10,e10) ) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f61,plain,+ ( op1(e10,e11) = e13+ | op1(e10,e11) = e12+ | op1(e10,e11) = e11+ | e10 = op1(e10,e11) ),+ inference(cnf_transformation,[],[f1])).++fof(f5,axiom,+ ( op1(e13,e12) != op1(e13,e13)+ & op1(e13,e11) != op1(e13,e13)+ & op1(e13,e11) != op1(e13,e12)+ & op1(e13,e10) != op1(e13,e13)+ & op1(e13,e10) != op1(e13,e12)+ & op1(e13,e10) != op1(e13,e11)+ & op1(e12,e12) != op1(e12,e13)+ & op1(e12,e11) != op1(e12,e13)+ & op1(e12,e11) != op1(e12,e12)+ & op1(e12,e10) != op1(e12,e13)+ & op1(e12,e10) != op1(e12,e12)+ & op1(e12,e10) != op1(e12,e11)+ & op1(e11,e12) != op1(e11,e13)+ & op1(e11,e11) != op1(e11,e13)+ & op1(e11,e11) != op1(e11,e12)+ & op1(e11,e10) != op1(e11,e13)+ & op1(e11,e10) != op1(e11,e12)+ & op1(e11,e10) != op1(e11,e11)+ & op1(e10,e12) != op1(e10,e13)+ & op1(e10,e11) != op1(e10,e13)+ & op1(e10,e11) != op1(e10,e12)+ & op1(e10,e10) != op1(e10,e13)+ & op1(e10,e10) != op1(e10,e12)+ & op1(e10,e10) != op1(e10,e11)+ & op1(e12,e13) != op1(e13,e13)+ & op1(e11,e13) != op1(e13,e13)+ & op1(e11,e13) != op1(e12,e13)+ & op1(e10,e13) != op1(e13,e13)+ & op1(e10,e13) != op1(e12,e13)+ & op1(e10,e13) != op1(e11,e13)+ & op1(e12,e12) != op1(e13,e12)+ & op1(e11,e12) != op1(e13,e12)+ & op1(e11,e12) != op1(e12,e12)+ & op1(e10,e12) != op1(e13,e12)+ & op1(e10,e12) != op1(e12,e12)+ & op1(e10,e12) != op1(e11,e12)+ & op1(e12,e11) != op1(e13,e11)+ & op1(e11,e11) != op1(e13,e11)+ & op1(e11,e11) != op1(e12,e11)+ & op1(e10,e11) != op1(e13,e11)+ & op1(e10,e11) != op1(e12,e11)+ & op1(e10,e11) != op1(e11,e11)+ & op1(e12,e10) != op1(e13,e10)+ & op1(e11,e10) != op1(e13,e10)+ & op1(e11,e10) != op1(e12,e10)+ & op1(e10,e10) != op1(e13,e10)+ & op1(e10,e10) != op1(e12,e10)+ & op1(e10,e10) != op1(e11,e10) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f196,plain,(+ op1(e12,e11) != op1(e12,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f71,plain,+ ( op1(e12,e13) = e13+ | op1(e12,e13) = e12+ | op1(e12,e13) = e11+ | e10 = op1(e12,e13) ),+ inference(cnf_transformation,[],[f1])).++fof(f12,axiom,+ ( op1(op1(e12,op1(e12,e12)),op1(e12,e12)) = e13+ & op1(e12,op1(e12,e12)) = e11+ & e10 = op1(e12,e12) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f312,plain,(+ e10 = op1(e12,e12) ),+ inference(cnf_transformation,[],[f12])).++fof(f313,plain,(+ op1(e12,op1(e12,e12)) = e11 ),+ inference(cnf_transformation,[],[f12])).++fof(f194,plain,(+ op1(e12,e10) != op1(e12,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f197,plain,(+ op1(e12,e12) != op1(e12,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f2,axiom,+ ( ( op1(e13,e13) = e13+ | op1(e12,e13) = e13+ | op1(e11,e13) = e13+ | op1(e10,e13) = e13 )+ & ( op1(e13,e13) = e13+ | op1(e13,e12) = e13+ | op1(e13,e11) = e13+ | op1(e13,e10) = e13 )+ & ( op1(e13,e13) = e12+ | op1(e12,e13) = e12+ | op1(e11,e13) = e12+ | op1(e10,e13) = e12 )+ & ( op1(e13,e13) = e12+ | op1(e13,e12) = e12+ | op1(e13,e11) = e12+ | op1(e13,e10) = e12 )+ & ( op1(e13,e13) = e11+ | op1(e12,e13) = e11+ | op1(e11,e13) = e11+ | op1(e10,e13) = e11 )+ & ( op1(e13,e13) = e11+ | op1(e13,e12) = e11+ | op1(e13,e11) = e11+ | op1(e13,e10) = e11 )+ & ( e10 = op1(e13,e13)+ | e10 = op1(e12,e13)+ | e10 = op1(e11,e13)+ | e10 = op1(e10,e13) )+ & ( e10 = op1(e13,e13)+ | e10 = op1(e13,e12)+ | e10 = op1(e13,e11)+ | e10 = op1(e13,e10) )+ & ( op1(e13,e12) = e13+ | op1(e12,e12) = e13+ | op1(e11,e12) = e13+ | op1(e10,e12) = e13 )+ & ( op1(e12,e13) = e13+ | op1(e12,e12) = e13+ | op1(e12,e11) = e13+ | op1(e12,e10) = e13 )+ & ( op1(e13,e12) = e12+ | op1(e12,e12) = e12+ | op1(e11,e12) = e12+ | op1(e10,e12) = e12 )+ & ( op1(e12,e13) = e12+ | op1(e12,e12) = e12+ | op1(e12,e11) = e12+ | op1(e12,e10) = e12 )+ & ( op1(e13,e12) = e11+ | op1(e12,e12) = e11+ | op1(e11,e12) = e11+ | op1(e10,e12) = e11 )+ & ( op1(e12,e13) = e11+ | op1(e12,e12) = e11+ | op1(e12,e11) = e11+ | op1(e12,e10) = e11 )+ & ( e10 = op1(e13,e12)+ | e10 = op1(e12,e12)+ | e10 = op1(e11,e12)+ | e10 = op1(e10,e12) )+ & ( e10 = op1(e12,e13)+ | e10 = op1(e12,e12)+ | e10 = op1(e12,e11)+ | e10 = op1(e12,e10) )+ & ( op1(e13,e11) = e13+ | op1(e12,e11) = e13+ | op1(e11,e11) = e13+ | op1(e10,e11) = e13 )+ & ( op1(e11,e13) = e13+ | op1(e11,e12) = e13+ | op1(e11,e11) = e13+ | op1(e11,e10) = e13 )+ & ( op1(e13,e11) = e12+ | op1(e12,e11) = e12+ | op1(e11,e11) = e12+ | op1(e10,e11) = e12 )+ & ( op1(e11,e13) = e12+ | op1(e11,e12) = e12+ | op1(e11,e11) = e12+ | op1(e11,e10) = e12 )+ & ( op1(e13,e11) = e11+ | op1(e12,e11) = e11+ | op1(e11,e11) = e11+ | op1(e10,e11) = e11 )+ & ( op1(e11,e13) = e11+ | op1(e11,e12) = e11+ | op1(e11,e11) = e11+ | op1(e11,e10) = e11 )+ & ( e10 = op1(e13,e11)+ | e10 = op1(e12,e11)+ | e10 = op1(e11,e11)+ | e10 = op1(e10,e11) )+ & ( e10 = op1(e11,e13)+ | e10 = op1(e11,e12)+ | e10 = op1(e11,e11)+ | e10 = op1(e11,e10) )+ & ( op1(e13,e10) = e13+ | op1(e12,e10) = e13+ | op1(e11,e10) = e13+ | op1(e10,e10) = e13 )+ & ( op1(e10,e13) = e13+ | op1(e10,e12) = e13+ | op1(e10,e11) = e13+ | op1(e10,e10) = e13 )+ & ( op1(e13,e10) = e12+ | op1(e12,e10) = e12+ | op1(e11,e10) = e12+ | op1(e10,e10) = e12 )+ & ( op1(e10,e13) = e12+ | op1(e10,e12) = e12+ | op1(e10,e11) = e12+ | op1(e10,e10) = e12 )+ & ( op1(e13,e10) = e11+ | op1(e12,e10) = e11+ | op1(e11,e10) = e11+ | op1(e10,e10) = e11 )+ & ( op1(e10,e13) = e11+ | op1(e10,e12) = e11+ | op1(e10,e11) = e11+ | op1(e10,e10) = e11 )+ & ( e10 = op1(e13,e10)+ | e10 = op1(e12,e10)+ | e10 = op1(e11,e10)+ | e10 = op1(e10,e10) )+ & ( e10 = op1(e10,e13)+ | e10 = op1(e10,e12)+ | e10 = op1(e10,e11)+ | e10 = op1(e10,e10) ) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f91,plain,+ ( op1(e13,e11) = e13+ | op1(e12,e11) = e13+ | op1(e11,e11) = e13+ | op1(e10,e11) = e13 ),+ inference(cnf_transformation,[],[f2])).++fof(f314,plain,(+ op1(op1(e12,op1(e12,e12)),op1(e12,e12)) = e13 ),+ inference(cnf_transformation,[],[f12])).++fof(f179,plain,(+ op1(e12,e13) != op1(e13,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f186,plain,(+ op1(e11,e10) != op1(e11,e11) ),+ inference(cnf_transformation,[],[f5])).++fof(f201,plain,(+ op1(e13,e11) != op1(e13,e12) ),+ inference(cnf_transformation,[],[f5])).++fof(f98,plain,+ ( op1(e12,e13) = e13+ | op1(e12,e12) = e13+ | op1(e12,e11) = e13+ | op1(e12,e10) = e13 ),+ inference(cnf_transformation,[],[f2])).++fof(f69,plain,+ ( op1(e12,e11) = e13+ | op1(e12,e11) = e12+ | op1(e12,e11) = e11+ | e10 = op1(e12,e11) ),+ inference(cnf_transformation,[],[f1])).++fof(f192,plain,(+ op1(e12,e10) != op1(e12,e11) ),+ inference(cnf_transformation,[],[f5])).++fof(f195,plain,(+ op1(e12,e11) != op1(e12,e12) ),+ inference(cnf_transformation,[],[f5])).++fof(f106,plain,+ ( op1(e13,e13) = e13+ | op1(e13,e12) = e13+ | op1(e13,e11) = e13+ | op1(e13,e10) = e13 ),+ inference(cnf_transformation,[],[f2])).++fof(f160,plain,(+ op1(e11,e10) != op1(e13,e10) ),+ inference(cnf_transformation,[],[f5])).++fof(f167,plain,(+ op1(e12,e11) != op1(e13,e11) ),+ inference(cnf_transformation,[],[f5])).++fof(f99,plain,+ ( op1(e13,e12) = e13+ | op1(e12,e12) = e13+ | op1(e11,e12) = e13+ | op1(e10,e12) = e13 ),+ inference(cnf_transformation,[],[f2])).++fof(f156,plain,(+ op1(e10,e10) != op1(e11,e10) ),+ inference(cnf_transformation,[],[f5])).++fof(f164,plain,(+ op1(e10,e11) != op1(e13,e11) ),+ inference(cnf_transformation,[],[f5])).++fof(f175,plain,(+ op1(e10,e13) != op1(e12,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f187,plain,(+ op1(e11,e10) != op1(e11,e12) ),+ inference(cnf_transformation,[],[f5])).++fof(f82,plain,+ ( op1(e10,e13) = e13+ | op1(e10,e12) = e13+ | op1(e10,e11) = e13+ | op1(e10,e10) = e13 ),+ inference(cnf_transformation,[],[f2])).++fof(f105,plain,+ ( op1(e13,e13) = e12+ | op1(e12,e13) = e12+ | op1(e11,e13) = e12+ | op1(e10,e13) = e12 ),+ inference(cnf_transformation,[],[f2])).++fof(f21,plain,+ ( ( op1(e13,op1(e10,e13)) = e13+ & op1(e12,op1(e10,e12)) = e12+ & op1(e11,op1(e10,e11)) = e11+ & e10 = op1(e10,op1(e10,e10)) )+ | ~ sP0 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).++fof(f44,plain,+ ( ( op1(e13,op1(e10,e13)) = e13+ & op1(e12,op1(e10,e12)) = e12+ & op1(e11,op1(e10,e11)) = e11+ & e10 = op1(e10,op1(e10,e10)) )+ | ~ sP0 ),+ inference(nnf_transformation,[],[f21])).++fof(f290,plain,+ ( op1(e12,op1(e10,e12)) = e12+ | ~ sP0 ),+ inference(cnf_transformation,[],[f44])).++fof(f23,plain,+ ( ( op1(e13,op1(e12,e13)) = e13+ & op1(e12,op1(e12,e12)) = e12+ & op1(e11,op1(e12,e11)) = e11+ & e10 = op1(e10,op1(e12,e10)) )+ | ~ sP2 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])).++fof(f42,plain,+ ( ( op1(e13,op1(e12,e13)) = e13+ & op1(e12,op1(e12,e12)) = e12+ & op1(e11,op1(e12,e11)) = e11+ & e10 = op1(e10,op1(e12,e10)) )+ | ~ sP2 ),+ inference(nnf_transformation,[],[f23])).++fof(f282,plain,+ ( op1(e12,op1(e12,e12)) = e12+ | ~ sP2 ),+ inference(cnf_transformation,[],[f42])).++fof(f7,axiom,+ ( e12 != e13+ & e11 != e13+ & e11 != e12+ & e10 != e13+ & e10 != e12+ & e10 != e11 ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f255,plain,(+ e11 != e12 ),+ inference(cnf_transformation,[],[f7])).++fof(f10,axiom,+ ( ( op1(e13,op1(e13,e13)) = e13+ & op1(e12,op1(e13,e12)) = e12+ & op1(e11,op1(e13,e11)) = e11+ & e10 = op1(e10,op1(e13,e10)) )+ | ( op1(e13,op1(e12,e13)) = e13+ & op1(e12,op1(e12,e12)) = e12+ & op1(e11,op1(e12,e11)) = e11+ & e10 = op1(e10,op1(e12,e10)) )+ | ( op1(e13,op1(e11,e13)) = e13+ & op1(e12,op1(e11,e12)) = e12+ & op1(e11,op1(e11,e11)) = e11+ & e10 = op1(e10,op1(e11,e10)) )+ | ( op1(e13,op1(e10,e13)) = e13+ & op1(e12,op1(e10,e12)) = e12+ & op1(e11,op1(e10,e11)) = e11+ & e10 = op1(e10,op1(e10,e10)) ) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f22,plain,+ ( ( op1(e13,op1(e11,e13)) = e13+ & op1(e12,op1(e11,e12)) = e12+ & op1(e11,op1(e11,e11)) = e11+ & e10 = op1(e10,op1(e11,e10)) )+ | ~ sP1 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])).++fof(f24,plain,+ ( ( op1(e13,op1(e13,e13)) = e13+ & op1(e12,op1(e13,e12)) = e12+ & op1(e11,op1(e13,e11)) = e11+ & e10 = op1(e10,op1(e13,e10)) )+ | sP2+ | sP1+ | sP0 ),+ inference(definition_folding,[],[f10,f23,f22,f21])).++fof(f295,plain,+ ( op1(e13,op1(e13,e13)) = e13+ | sP2+ | sP1+ | sP0 ),+ inference(cnf_transformation,[],[f24])).++fof(f292,plain,+ ( e10 = op1(e10,op1(e13,e10))+ | sP2+ | sP1+ | sP0 ),+ inference(cnf_transformation,[],[f24])).++fof(f293,plain,+ ( op1(e11,op1(e13,e11)) = e11+ | sP2+ | sP1+ | sP0 ),+ inference(cnf_transformation,[],[f24])).++fof(f253,plain,(+ e10 != e12 ),+ inference(cnf_transformation,[],[f7])).++fof(f159,plain,(+ op1(e11,e10) != op1(e12,e10) ),+ inference(cnf_transformation,[],[f5])).++fof(f173,plain,(+ op1(e12,e12) != op1(e13,e12) ),+ inference(cnf_transformation,[],[f5])).++fof(f100,plain,+ ( e10 = op1(e13,e13)+ | e10 = op1(e13,e12)+ | e10 = op1(e13,e11)+ | e10 = op1(e13,e10) ),+ inference(cnf_transformation,[],[f2])).++fof(f81,plain,+ ( op1(e13,e10) = e12+ | op1(e12,e10) = e12+ | op1(e11,e10) = e12+ | op1(e10,e10) = e12 ),+ inference(cnf_transformation,[],[f2])).++fof(f257,plain,(+ e12 != e13 ),+ inference(cnf_transformation,[],[f7])).++fof(f43,plain,+ ( ( op1(e13,op1(e11,e13)) = e13+ & op1(e12,op1(e11,e12)) = e12+ & op1(e11,op1(e11,e11)) = e11+ & e10 = op1(e10,op1(e11,e10)) )+ | ~ sP1 ),+ inference(nnf_transformation,[],[f22])).++fof(f287,plain,+ ( op1(e13,op1(e11,e13)) = e13+ | ~ sP1 ),+ inference(cnf_transformation,[],[f43])).++fof(f285,plain,+ ( op1(e11,op1(e11,e11)) = e11+ | ~ sP1 ),+ inference(cnf_transformation,[],[f43])).++fof(f254,plain,(+ e10 != e13 ),+ inference(cnf_transformation,[],[f7])).++fof(f171,plain,(+ op1(e11,e12) != op1(e12,e12) ),+ inference(cnf_transformation,[],[f5])).++fof(f84,plain,+ ( e10 = op1(e11,e13)+ | e10 = op1(e11,e12)+ | e10 = op1(e11,e11)+ | e10 = op1(e11,e10) ),+ inference(cnf_transformation,[],[f2])).++fof(f177,plain,(+ op1(e11,e13) != op1(e12,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f291,plain,+ ( op1(e13,op1(e10,e13)) = e13+ | ~ sP0 ),+ inference(cnf_transformation,[],[f44])).++fof(f176,plain,(+ op1(e10,e13) != op1(e13,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f63,plain,+ ( op1(e10,e13) = e13+ | op1(e10,e13) = e12+ | op1(e10,e13) = e11+ | e10 = op1(e10,e13) ),+ inference(cnf_transformation,[],[f1])).++fof(f107,plain,+ ( op1(e13,e13) = e13+ | op1(e12,e13) = e13+ | op1(e11,e13) = e13+ | op1(e10,e13) = e13 ),+ inference(cnf_transformation,[],[f2])).++fof(f170,plain,(+ op1(e10,e12) != op1(e13,e12) ),+ inference(cnf_transformation,[],[f5])).++fof(f203,plain,(+ op1(e13,e12) != op1(e13,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f188,plain,(+ op1(e11,e10) != op1(e11,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f18,conjecture,+ ( ( ( e23 = h4(e13)+ | e23 = h4(e12)+ | e23 = h4(e11)+ | e23 = h4(e10) )+ & ( e22 = h4(e13)+ | e22 = h4(e12)+ | e22 = h4(e11)+ | e22 = h4(e10) )+ & ( e21 = h4(e13)+ | e21 = h4(e12)+ | e21 = h4(e11)+ | e21 = h4(e10) )+ & ( e20 = h4(e13)+ | e20 = h4(e12)+ | e20 = h4(e11)+ | e20 = h4(e10) )+ & op2(h4(e13),h4(e13)) = h4(op1(e13,e13))+ & op2(h4(e13),h4(e12)) = h4(op1(e13,e12))+ & op2(h4(e13),h4(e11)) = h4(op1(e13,e11))+ & op2(h4(e13),h4(e10)) = h4(op1(e13,e10))+ & op2(h4(e12),h4(e13)) = h4(op1(e12,e13))+ & op2(h4(e12),h4(e12)) = h4(op1(e12,e12))+ & op2(h4(e12),h4(e11)) = h4(op1(e12,e11))+ & op2(h4(e12),h4(e10)) = h4(op1(e12,e10))+ & op2(h4(e11),h4(e13)) = h4(op1(e11,e13))+ & op2(h4(e11),h4(e12)) = h4(op1(e11,e12))+ & op2(h4(e11),h4(e11)) = h4(op1(e11,e11))+ & op2(h4(e11),h4(e10)) = h4(op1(e11,e10))+ & op2(h4(e10),h4(e13)) = h4(op1(e10,e13))+ & op2(h4(e10),h4(e12)) = h4(op1(e10,e12))+ & op2(h4(e10),h4(e11)) = h4(op1(e10,e11))+ & op2(h4(e10),h4(e10)) = h4(op1(e10,e10)) )+ | ( ( e23 = h3(e13)+ | e23 = h3(e12)+ | e23 = h3(e11)+ | e23 = h3(e10) )+ & ( e22 = h3(e13)+ | e22 = h3(e12)+ | e22 = h3(e11)+ | e22 = h3(e10) )+ & ( e21 = h3(e13)+ | e21 = h3(e12)+ | e21 = h3(e11)+ | e21 = h3(e10) )+ & ( e20 = h3(e13)+ | e20 = h3(e12)+ | e20 = h3(e11)+ | e20 = h3(e10) )+ & op2(h3(e13),h3(e13)) = h3(op1(e13,e13))+ & op2(h3(e13),h3(e12)) = h3(op1(e13,e12))+ & op2(h3(e13),h3(e11)) = h3(op1(e13,e11))+ & op2(h3(e13),h3(e10)) = h3(op1(e13,e10))+ & op2(h3(e12),h3(e13)) = h3(op1(e12,e13))+ & op2(h3(e12),h3(e12)) = h3(op1(e12,e12))+ & op2(h3(e12),h3(e11)) = h3(op1(e12,e11))+ & op2(h3(e12),h3(e10)) = h3(op1(e12,e10))+ & op2(h3(e11),h3(e13)) = h3(op1(e11,e13))+ & op2(h3(e11),h3(e12)) = h3(op1(e11,e12))+ & op2(h3(e11),h3(e11)) = h3(op1(e11,e11))+ & op2(h3(e11),h3(e10)) = h3(op1(e11,e10))+ & op2(h3(e10),h3(e13)) = h3(op1(e10,e13))+ & op2(h3(e10),h3(e12)) = h3(op1(e10,e12))+ & op2(h3(e10),h3(e11)) = h3(op1(e10,e11))+ & op2(h3(e10),h3(e10)) = h3(op1(e10,e10)) )+ | ( ( e23 = h2(e13)+ | e23 = h2(e12)+ | e23 = h2(e11)+ | e23 = h2(e10) )+ & ( e22 = h2(e13)+ | e22 = h2(e12)+ | e22 = h2(e11)+ | e22 = h2(e10) )+ & ( e21 = h2(e13)+ | e21 = h2(e12)+ | e21 = h2(e11)+ | e21 = h2(e10) )+ & ( e20 = h2(e13)+ | e20 = h2(e12)+ | e20 = h2(e11)+ | e20 = h2(e10) )+ & op2(h2(e13),h2(e13)) = h2(op1(e13,e13))+ & op2(h2(e13),h2(e12)) = h2(op1(e13,e12))+ & op2(h2(e13),h2(e11)) = h2(op1(e13,e11))+ & op2(h2(e13),h2(e10)) = h2(op1(e13,e10))+ & op2(h2(e12),h2(e13)) = h2(op1(e12,e13))+ & op2(h2(e12),h2(e12)) = h2(op1(e12,e12))+ & op2(h2(e12),h2(e11)) = h2(op1(e12,e11))+ & op2(h2(e12),h2(e10)) = h2(op1(e12,e10))+ & op2(h2(e11),h2(e13)) = h2(op1(e11,e13))+ & op2(h2(e11),h2(e12)) = h2(op1(e11,e12))+ & op2(h2(e11),h2(e11)) = h2(op1(e11,e11))+ & op2(h2(e11),h2(e10)) = h2(op1(e11,e10))+ & op2(h2(e10),h2(e13)) = h2(op1(e10,e13))+ & op2(h2(e10),h2(e12)) = h2(op1(e10,e12))+ & op2(h2(e10),h2(e11)) = h2(op1(e10,e11))+ & op2(h2(e10),h2(e10)) = h2(op1(e10,e10)) )+ | ( ( e23 = h1(e13)+ | e23 = h1(e12)+ | e23 = h1(e11)+ | e23 = h1(e10) )+ & ( e22 = h1(e13)+ | e22 = h1(e12)+ | e22 = h1(e11)+ | e22 = h1(e10) )+ & ( e21 = h1(e13)+ | e21 = h1(e12)+ | e21 = h1(e11)+ | e21 = h1(e10) )+ & ( e20 = h1(e13)+ | e20 = h1(e12)+ | e20 = h1(e11)+ | e20 = h1(e10) )+ & op2(h1(e13),h1(e13)) = h1(op1(e13,e13))+ & op2(h1(e13),h1(e12)) = h1(op1(e13,e12))+ & op2(h1(e13),h1(e11)) = h1(op1(e13,e11))+ & op2(h1(e13),h1(e10)) = h1(op1(e13,e10))+ & op2(h1(e12),h1(e13)) = h1(op1(e12,e13))+ & op2(h1(e12),h1(e12)) = h1(op1(e12,e12))+ & op2(h1(e12),h1(e11)) = h1(op1(e12,e11))+ & op2(h1(e12),h1(e10)) = h1(op1(e12,e10))+ & op2(h1(e11),h1(e13)) = h1(op1(e11,e13))+ & op2(h1(e11),h1(e12)) = h1(op1(e11,e12))+ & op2(h1(e11),h1(e11)) = h1(op1(e11,e11))+ & op2(h1(e11),h1(e10)) = h1(op1(e11,e10))+ & op2(h1(e10),h1(e13)) = h1(op1(e10,e13))+ & op2(h1(e10),h1(e12)) = h1(op1(e10,e12))+ & op2(h1(e10),h1(e11)) = h1(op1(e10,e11))+ & op2(h1(e10),h1(e10)) = h1(op1(e10,e10)) ) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f19,negated_conjecture,(+ ~ ( ( ( e23 = h4(e13)+ | e23 = h4(e12)+ | e23 = h4(e11)+ | e23 = h4(e10) )+ & ( e22 = h4(e13)+ | e22 = h4(e12)+ | e22 = h4(e11)+ | e22 = h4(e10) )+ & ( e21 = h4(e13)+ | e21 = h4(e12)+ | e21 = h4(e11)+ | e21 = h4(e10) )+ & ( e20 = h4(e13)+ | e20 = h4(e12)+ | e20 = h4(e11)+ | e20 = h4(e10) )+ & op2(h4(e13),h4(e13)) = h4(op1(e13,e13))+ & op2(h4(e13),h4(e12)) = h4(op1(e13,e12))+ & op2(h4(e13),h4(e11)) = h4(op1(e13,e11))+ & op2(h4(e13),h4(e10)) = h4(op1(e13,e10))+ & op2(h4(e12),h4(e13)) = h4(op1(e12,e13))+ & op2(h4(e12),h4(e12)) = h4(op1(e12,e12))+ & op2(h4(e12),h4(e11)) = h4(op1(e12,e11))+ & op2(h4(e12),h4(e10)) = h4(op1(e12,e10))+ & op2(h4(e11),h4(e13)) = h4(op1(e11,e13))+ & op2(h4(e11),h4(e12)) = h4(op1(e11,e12))+ & op2(h4(e11),h4(e11)) = h4(op1(e11,e11))+ & op2(h4(e11),h4(e10)) = h4(op1(e11,e10))+ & op2(h4(e10),h4(e13)) = h4(op1(e10,e13))+ & op2(h4(e10),h4(e12)) = h4(op1(e10,e12))+ & op2(h4(e10),h4(e11)) = h4(op1(e10,e11))+ & op2(h4(e10),h4(e10)) = h4(op1(e10,e10)) )+ | ( ( e23 = h3(e13)+ | e23 = h3(e12)+ | e23 = h3(e11)+ | e23 = h3(e10) )+ & ( e22 = h3(e13)+ | e22 = h3(e12)+ | e22 = h3(e11)+ | e22 = h3(e10) )+ & ( e21 = h3(e13)+ | e21 = h3(e12)+ | e21 = h3(e11)+ | e21 = h3(e10) )+ & ( e20 = h3(e13)+ | e20 = h3(e12)+ | e20 = h3(e11)+ | e20 = h3(e10) )+ & op2(h3(e13),h3(e13)) = h3(op1(e13,e13))+ & op2(h3(e13),h3(e12)) = h3(op1(e13,e12))+ & op2(h3(e13),h3(e11)) = h3(op1(e13,e11))+ & op2(h3(e13),h3(e10)) = h3(op1(e13,e10))+ & op2(h3(e12),h3(e13)) = h3(op1(e12,e13))+ & op2(h3(e12),h3(e12)) = h3(op1(e12,e12))+ & op2(h3(e12),h3(e11)) = h3(op1(e12,e11))+ & op2(h3(e12),h3(e10)) = h3(op1(e12,e10))+ & op2(h3(e11),h3(e13)) = h3(op1(e11,e13))+ & op2(h3(e11),h3(e12)) = h3(op1(e11,e12))+ & op2(h3(e11),h3(e11)) = h3(op1(e11,e11))+ & op2(h3(e11),h3(e10)) = h3(op1(e11,e10))+ & op2(h3(e10),h3(e13)) = h3(op1(e10,e13))+ & op2(h3(e10),h3(e12)) = h3(op1(e10,e12))+ & op2(h3(e10),h3(e11)) = h3(op1(e10,e11))+ & op2(h3(e10),h3(e10)) = h3(op1(e10,e10)) )+ | ( ( e23 = h2(e13)+ | e23 = h2(e12)+ | e23 = h2(e11)+ | e23 = h2(e10) )+ & ( e22 = h2(e13)+ | e22 = h2(e12)+ | e22 = h2(e11)+ | e22 = h2(e10) )+ & ( e21 = h2(e13)+ | e21 = h2(e12)+ | e21 = h2(e11)+ | e21 = h2(e10) )+ & ( e20 = h2(e13)+ | e20 = h2(e12)+ | e20 = h2(e11)+ | e20 = h2(e10) )+ & op2(h2(e13),h2(e13)) = h2(op1(e13,e13))+ & op2(h2(e13),h2(e12)) = h2(op1(e13,e12))+ & op2(h2(e13),h2(e11)) = h2(op1(e13,e11))+ & op2(h2(e13),h2(e10)) = h2(op1(e13,e10))+ & op2(h2(e12),h2(e13)) = h2(op1(e12,e13))+ & op2(h2(e12),h2(e12)) = h2(op1(e12,e12))+ & op2(h2(e12),h2(e11)) = h2(op1(e12,e11))+ & op2(h2(e12),h2(e10)) = h2(op1(e12,e10))+ & op2(h2(e11),h2(e13)) = h2(op1(e11,e13))+ & op2(h2(e11),h2(e12)) = h2(op1(e11,e12))+ & op2(h2(e11),h2(e11)) = h2(op1(e11,e11))+ & op2(h2(e11),h2(e10)) = h2(op1(e11,e10))+ & op2(h2(e10),h2(e13)) = h2(op1(e10,e13))+ & op2(h2(e10),h2(e12)) = h2(op1(e10,e12))+ & op2(h2(e10),h2(e11)) = h2(op1(e10,e11))+ & op2(h2(e10),h2(e10)) = h2(op1(e10,e10)) )+ | ( ( e23 = h1(e13)+ | e23 = h1(e12)+ | e23 = h1(e11)+ | e23 = h1(e10) )+ & ( e22 = h1(e13)+ | e22 = h1(e12)+ | e22 = h1(e11)+ | e22 = h1(e10) )+ & ( e21 = h1(e13)+ | e21 = h1(e12)+ | e21 = h1(e11)+ | e21 = h1(e10) )+ & ( e20 = h1(e13)+ | e20 = h1(e12)+ | e20 = h1(e11)+ | e20 = h1(e10) )+ & op2(h1(e13),h1(e13)) = h1(op1(e13,e13))+ & op2(h1(e13),h1(e12)) = h1(op1(e13,e12))+ & op2(h1(e13),h1(e11)) = h1(op1(e13,e11))+ & op2(h1(e13),h1(e10)) = h1(op1(e13,e10))+ & op2(h1(e12),h1(e13)) = h1(op1(e12,e13))+ & op2(h1(e12),h1(e12)) = h1(op1(e12,e12))+ & op2(h1(e12),h1(e11)) = h1(op1(e12,e11))+ & op2(h1(e12),h1(e10)) = h1(op1(e12,e10))+ & op2(h1(e11),h1(e13)) = h1(op1(e11,e13))+ & op2(h1(e11),h1(e12)) = h1(op1(e11,e12))+ & op2(h1(e11),h1(e11)) = h1(op1(e11,e11))+ & op2(h1(e11),h1(e10)) = h1(op1(e11,e10))+ & op2(h1(e10),h1(e13)) = h1(op1(e10,e13))+ & op2(h1(e10),h1(e12)) = h1(op1(e10,e12))+ & op2(h1(e10),h1(e11)) = h1(op1(e10,e11))+ & op2(h1(e10),h1(e10)) = h1(op1(e10,e10)) ) ) ),+ inference(negated_conjecture,[],[f18])).++fof(f20,plain,+ ( ( ( e23 != h4(e13)+ & e23 != h4(e12)+ & e23 != h4(e11)+ & e23 != h4(e10) )+ | ( e22 != h4(e13)+ & e22 != h4(e12)+ & e22 != h4(e11)+ & e22 != h4(e10) )+ | ( e21 != h4(e13)+ & e21 != h4(e12)+ & e21 != h4(e11)+ & e21 != h4(e10) )+ | ( e20 != h4(e13)+ & e20 != h4(e12)+ & e20 != h4(e11)+ & e20 != h4(e10) )+ | op2(h4(e13),h4(e13)) != h4(op1(e13,e13))+ | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))+ | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))+ | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))+ | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))+ | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))+ | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))+ | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))+ | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))+ | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))+ | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))+ | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))+ | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))+ | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))+ | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))+ | op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) )+ & ( ( e23 != h3(e13)+ & e23 != h3(e12)+ & e23 != h3(e11)+ & e23 != h3(e10) )+ | ( e22 != h3(e13)+ & e22 != h3(e12)+ & e22 != h3(e11)+ & e22 != h3(e10) )+ | ( e21 != h3(e13)+ & e21 != h3(e12)+ & e21 != h3(e11)+ & e21 != h3(e10) )+ | ( e20 != h3(e13)+ & e20 != h3(e12)+ & e20 != h3(e11)+ & e20 != h3(e10) )+ | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+ | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+ | op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) )+ & ( ( e23 != h2(e13)+ & e23 != h2(e12)+ & e23 != h2(e11)+ & e23 != h2(e10) )+ | ( e22 != h2(e13)+ & e22 != h2(e12)+ & e22 != h2(e11)+ & e22 != h2(e10) )+ | ( e21 != h2(e13)+ & e21 != h2(e12)+ & e21 != h2(e11)+ & e21 != h2(e10) )+ | ( e20 != h2(e13)+ & e20 != h2(e12)+ & e20 != h2(e11)+ & e20 != h2(e10) )+ | op2(h2(e13),h2(e13)) != h2(op1(e13,e13))+ | op2(h2(e13),h2(e12)) != h2(op1(e13,e12))+ | op2(h2(e13),h2(e11)) != h2(op1(e13,e11))+ | op2(h2(e13),h2(e10)) != h2(op1(e13,e10))+ | op2(h2(e12),h2(e13)) != h2(op1(e12,e13))+ | op2(h2(e12),h2(e12)) != h2(op1(e12,e12))+ | op2(h2(e12),h2(e11)) != h2(op1(e12,e11))+ | op2(h2(e12),h2(e10)) != h2(op1(e12,e10))+ | op2(h2(e11),h2(e13)) != h2(op1(e11,e13))+ | op2(h2(e11),h2(e12)) != h2(op1(e11,e12))+ | op2(h2(e11),h2(e11)) != h2(op1(e11,e11))+ | op2(h2(e11),h2(e10)) != h2(op1(e11,e10))+ | op2(h2(e10),h2(e13)) != h2(op1(e10,e13))+ | op2(h2(e10),h2(e12)) != h2(op1(e10,e12))+ | op2(h2(e10),h2(e11)) != h2(op1(e10,e11))+ | op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) )+ & ( ( e23 != h1(e13)+ & e23 != h1(e12)+ & e23 != h1(e11)+ & e23 != h1(e10) )+ | ( e22 != h1(e13)+ & e22 != h1(e12)+ & e22 != h1(e11)+ & e22 != h1(e10) )+ | ( e21 != h1(e13)+ & e21 != h1(e12)+ & e21 != h1(e11)+ & e21 != h1(e10) )+ | ( e20 != h1(e13)+ & e20 != h1(e12)+ & e20 != h1(e11)+ & e20 != h1(e10) )+ | op2(h1(e13),h1(e13)) != h1(op1(e13,e13))+ | op2(h1(e13),h1(e12)) != h1(op1(e13,e12))+ | op2(h1(e13),h1(e11)) != h1(op1(e13,e11))+ | op2(h1(e13),h1(e10)) != h1(op1(e13,e10))+ | op2(h1(e12),h1(e13)) != h1(op1(e12,e13))+ | op2(h1(e12),h1(e12)) != h1(op1(e12,e12))+ | op2(h1(e12),h1(e11)) != h1(op1(e12,e11))+ | op2(h1(e12),h1(e10)) != h1(op1(e12,e10))+ | op2(h1(e11),h1(e13)) != h1(op1(e11,e13))+ | op2(h1(e11),h1(e12)) != h1(op1(e11,e12))+ | op2(h1(e11),h1(e11)) != h1(op1(e11,e11))+ | op2(h1(e11),h1(e10)) != h1(op1(e11,e10))+ | op2(h1(e10),h1(e13)) != h1(op1(e10,e13))+ | op2(h1(e10),h1(e12)) != h1(op1(e10,e12))+ | op2(h1(e10),h1(e11)) != h1(op1(e10,e11))+ | op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),+ inference(ennf_transformation,[],[f19])).++fof(f40,plain,+ ( ( e22 != h4(e13)+ & e22 != h4(e12)+ & e22 != h4(e11)+ & e22 != h4(e10) )+ | ~ sP17 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])])).++fof(f39,plain,+ ( ( e21 != h4(e13)+ & e21 != h4(e12)+ & e21 != h4(e11)+ & e21 != h4(e10) )+ | ~ sP16 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])])).++fof(f38,plain,+ ( ( e20 != h4(e13)+ & e20 != h4(e12)+ & e20 != h4(e11)+ & e20 != h4(e10) )+ | ~ sP15 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])])).++fof(f37,plain,+ ( ( e22 != h3(e13)+ & e22 != h3(e12)+ & e22 != h3(e11)+ & e22 != h3(e10) )+ | ~ sP14 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])])).++fof(f36,plain,+ ( ( e21 != h3(e13)+ & e21 != h3(e12)+ & e21 != h3(e11)+ & e21 != h3(e10) )+ | ~ sP13 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])])).++fof(f35,plain,+ ( ( e20 != h3(e13)+ & e20 != h3(e12)+ & e20 != h3(e11)+ & e20 != h3(e10) )+ | ~ sP12 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])])).++fof(f34,plain,+ ( ( e22 != h2(e13)+ & e22 != h2(e12)+ & e22 != h2(e11)+ & e22 != h2(e10) )+ | ~ sP11 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])])).++fof(f33,plain,+ ( ( e21 != h2(e13)+ & e21 != h2(e12)+ & e21 != h2(e11)+ & e21 != h2(e10) )+ | ~ sP10 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])])).++fof(f32,plain,+ ( ( e20 != h2(e13)+ & e20 != h2(e12)+ & e20 != h2(e11)+ & e20 != h2(e10) )+ | ~ sP9 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])])).++fof(f31,plain,+ ( ( e22 != h1(e13)+ & e22 != h1(e12)+ & e22 != h1(e11)+ & e22 != h1(e10) )+ | ~ sP8 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])])).++fof(f30,plain,+ ( ( e21 != h1(e13)+ & e21 != h1(e12)+ & e21 != h1(e11)+ & e21 != h1(e10) )+ | ~ sP7 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])])).++fof(f29,plain,+ ( ( e20 != h1(e13)+ & e20 != h1(e12)+ & e20 != h1(e11)+ & e20 != h1(e10) )+ | ~ sP6 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])).++fof(f41,plain,+ ( ( ( e23 != h4(e13)+ & e23 != h4(e12)+ & e23 != h4(e11)+ & e23 != h4(e10) )+ | sP17+ | sP16+ | sP15+ | op2(h4(e13),h4(e13)) != h4(op1(e13,e13))+ | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))+ | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))+ | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))+ | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))+ | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))+ | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))+ | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))+ | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))+ | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))+ | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))+ | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))+ | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))+ | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))+ | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))+ | op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) )+ & ( ( e23 != h3(e13)+ & e23 != h3(e12)+ & e23 != h3(e11)+ & e23 != h3(e10) )+ | sP14+ | sP13+ | sP12+ | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+ | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+ | op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) )+ & ( ( e23 != h2(e13)+ & e23 != h2(e12)+ & e23 != h2(e11)+ & e23 != h2(e10) )+ | sP11+ | sP10+ | sP9+ | op2(h2(e13),h2(e13)) != h2(op1(e13,e13))+ | op2(h2(e13),h2(e12)) != h2(op1(e13,e12))+ | op2(h2(e13),h2(e11)) != h2(op1(e13,e11))+ | op2(h2(e13),h2(e10)) != h2(op1(e13,e10))+ | op2(h2(e12),h2(e13)) != h2(op1(e12,e13))+ | op2(h2(e12),h2(e12)) != h2(op1(e12,e12))+ | op2(h2(e12),h2(e11)) != h2(op1(e12,e11))+ | op2(h2(e12),h2(e10)) != h2(op1(e12,e10))+ | op2(h2(e11),h2(e13)) != h2(op1(e11,e13))+ | op2(h2(e11),h2(e12)) != h2(op1(e11,e12))+ | op2(h2(e11),h2(e11)) != h2(op1(e11,e11))+ | op2(h2(e11),h2(e10)) != h2(op1(e11,e10))+ | op2(h2(e10),h2(e13)) != h2(op1(e10,e13))+ | op2(h2(e10),h2(e12)) != h2(op1(e10,e12))+ | op2(h2(e10),h2(e11)) != h2(op1(e10,e11))+ | op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) )+ & ( ( e23 != h1(e13)+ & e23 != h1(e12)+ & e23 != h1(e11)+ & e23 != h1(e10) )+ | sP8+ | sP7+ | sP6+ | op2(h1(e13),h1(e13)) != h1(op1(e13,e13))+ | op2(h1(e13),h1(e12)) != h1(op1(e13,e12))+ | op2(h1(e13),h1(e11)) != h1(op1(e13,e11))+ | op2(h1(e13),h1(e10)) != h1(op1(e13,e10))+ | op2(h1(e12),h1(e13)) != h1(op1(e12,e13))+ | op2(h1(e12),h1(e12)) != h1(op1(e12,e12))+ | op2(h1(e12),h1(e11)) != h1(op1(e12,e11))+ | op2(h1(e12),h1(e10)) != h1(op1(e12,e10))+ | op2(h1(e11),h1(e13)) != h1(op1(e11,e13))+ | op2(h1(e11),h1(e12)) != h1(op1(e11,e12))+ | op2(h1(e11),h1(e11)) != h1(op1(e11,e11))+ | op2(h1(e11),h1(e10)) != h1(op1(e11,e10))+ | op2(h1(e10),h1(e13)) != h1(op1(e10,e13))+ | op2(h1(e10),h1(e12)) != h1(op1(e10,e12))+ | op2(h1(e10),h1(e11)) != h1(op1(e10,e11))+ | op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),+ inference(definition_folding,[],[f20,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29])).++fof(f393,plain,+ ( e23 != h3(e13)+ | sP14+ | sP13+ | sP12+ | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+ | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+ | op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ),+ inference(cnf_transformation,[],[f41])).++fof(f51,plain,+ ( ( e22 != h3(e13)+ & e22 != h3(e12)+ & e22 != h3(e11)+ & e22 != h3(e10) )+ | ~ sP14 ),+ inference(nnf_transformation,[],[f37])).++fof(f348,plain,+ ( e22 != h3(e12)+ | ~ sP14 ),+ inference(cnf_transformation,[],[f51])).++fof(f326,plain,(+ e22 = h3(e12) ),+ inference(cnf_transformation,[],[f16])).++fof(f327,plain,(+ op2(e22,e22) = h3(e10) ),+ inference(cnf_transformation,[],[f16])).++fof(f14,axiom,+ ( op2(op2(e20,op2(e20,e20)),op2(e20,e20)) = h1(e13)+ & op2(e20,op2(e20,e20)) = h1(e11)+ & op2(e20,e20) = h1(e10)+ & e20 = h1(e12) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f319,plain,(+ op2(e20,e20) = h1(e10) ),+ inference(cnf_transformation,[],[f14])).++fof(f315,plain,(+ e20 = op2(e22,e22) ),+ inference(cnf_transformation,[],[f13])).++fof(f288,plain,+ ( e10 = op1(e10,op1(e10,e10))+ | ~ sP0 ),+ inference(cnf_transformation,[],[f44])).++fof(f60,plain,+ ( op1(e10,e10) = e13+ | op1(e10,e10) = e12+ | op1(e10,e10) = e11+ | e10 = op1(e10,e10) ),+ inference(cnf_transformation,[],[f1])).++fof(f157,plain,(+ op1(e10,e10) != op1(e12,e10) ),+ inference(cnf_transformation,[],[f5])).++fof(f3,axiom,+ ( ( op2(e23,e23) = e23+ | op2(e23,e23) = e22+ | op2(e23,e23) = e21+ | e20 = op2(e23,e23) )+ & ( op2(e23,e22) = e23+ | op2(e23,e22) = e22+ | op2(e23,e22) = e21+ | e20 = op2(e23,e22) )+ & ( op2(e23,e21) = e23+ | op2(e23,e21) = e22+ | op2(e23,e21) = e21+ | e20 = op2(e23,e21) )+ & ( op2(e23,e20) = e23+ | op2(e23,e20) = e22+ | op2(e23,e20) = e21+ | e20 = op2(e23,e20) )+ & ( op2(e22,e23) = e23+ | op2(e22,e23) = e22+ | op2(e22,e23) = e21+ | e20 = op2(e22,e23) )+ & ( op2(e22,e22) = e23+ | op2(e22,e22) = e22+ | op2(e22,e22) = e21+ | e20 = op2(e22,e22) )+ & ( op2(e22,e21) = e23+ | op2(e22,e21) = e22+ | op2(e22,e21) = e21+ | e20 = op2(e22,e21) )+ & ( op2(e22,e20) = e23+ | op2(e22,e20) = e22+ | op2(e22,e20) = e21+ | e20 = op2(e22,e20) )+ & ( op2(e21,e23) = e23+ | op2(e21,e23) = e22+ | op2(e21,e23) = e21+ | e20 = op2(e21,e23) )+ & ( op2(e21,e22) = e23+ | op2(e21,e22) = e22+ | op2(e21,e22) = e21+ | e20 = op2(e21,e22) )+ & ( op2(e21,e21) = e23+ | op2(e21,e21) = e22+ | op2(e21,e21) = e21+ | e20 = op2(e21,e21) )+ & ( op2(e21,e20) = e23+ | op2(e21,e20) = e22+ | op2(e21,e20) = e21+ | e20 = op2(e21,e20) )+ & ( op2(e20,e23) = e23+ | op2(e20,e23) = e22+ | op2(e20,e23) = e21+ | e20 = op2(e20,e23) )+ & ( op2(e20,e22) = e23+ | op2(e20,e22) = e22+ | op2(e20,e22) = e21+ | e20 = op2(e20,e22) )+ & ( op2(e20,e21) = e23+ | op2(e20,e21) = e22+ | op2(e20,e21) = e21+ | e20 = op2(e20,e21) )+ & ( op2(e20,e20) = e23+ | op2(e20,e20) = e22+ | op2(e20,e20) = e21+ | e20 = op2(e20,e20) ) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f108,plain,+ ( op2(e20,e20) = e23+ | op2(e20,e20) = e22+ | op2(e20,e20) = e21+ | e20 = op2(e20,e20) ),+ inference(cnf_transformation,[],[f3])).++fof(f316,plain,(+ op2(e22,op2(e22,e22)) = e21 ),+ inference(cnf_transformation,[],[f13])).++fof(f8,axiom,+ ( e22 != e23+ & e21 != e23+ & e21 != e22+ & e20 != e23+ & e20 != e22+ & e20 != e21 ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f258,plain,(+ e20 != e21 ),+ inference(cnf_transformation,[],[f8])).++fof(f6,axiom,+ ( op2(e23,e22) != op2(e23,e23)+ & op2(e23,e21) != op2(e23,e23)+ & op2(e23,e21) != op2(e23,e22)+ & op2(e23,e20) != op2(e23,e23)+ & op2(e23,e20) != op2(e23,e22)+ & op2(e23,e20) != op2(e23,e21)+ & op2(e22,e22) != op2(e22,e23)+ & op2(e22,e21) != op2(e22,e23)+ & op2(e22,e21) != op2(e22,e22)+ & op2(e22,e20) != op2(e22,e23)+ & op2(e22,e20) != op2(e22,e22)+ & op2(e22,e20) != op2(e22,e21)+ & op2(e21,e22) != op2(e21,e23)+ & op2(e21,e21) != op2(e21,e23)+ & op2(e21,e21) != op2(e21,e22)+ & op2(e21,e20) != op2(e21,e23)+ & op2(e21,e20) != op2(e21,e22)+ & op2(e21,e20) != op2(e21,e21)+ & op2(e20,e22) != op2(e20,e23)+ & op2(e20,e21) != op2(e20,e23)+ & op2(e20,e21) != op2(e20,e22)+ & op2(e20,e20) != op2(e20,e23)+ & op2(e20,e20) != op2(e20,e22)+ & op2(e20,e20) != op2(e20,e21)+ & op2(e22,e23) != op2(e23,e23)+ & op2(e21,e23) != op2(e23,e23)+ & op2(e21,e23) != op2(e22,e23)+ & op2(e20,e23) != op2(e23,e23)+ & op2(e20,e23) != op2(e22,e23)+ & op2(e20,e23) != op2(e21,e23)+ & op2(e22,e22) != op2(e23,e22)+ & op2(e21,e22) != op2(e23,e22)+ & op2(e21,e22) != op2(e22,e22)+ & op2(e20,e22) != op2(e23,e22)+ & op2(e20,e22) != op2(e22,e22)+ & op2(e20,e22) != op2(e21,e22)+ & op2(e22,e21) != op2(e23,e21)+ & op2(e21,e21) != op2(e23,e21)+ & op2(e21,e21) != op2(e22,e21)+ & op2(e20,e21) != op2(e23,e21)+ & op2(e20,e21) != op2(e22,e21)+ & op2(e20,e21) != op2(e21,e21)+ & op2(e22,e20) != op2(e23,e20)+ & op2(e21,e20) != op2(e23,e20)+ & op2(e21,e20) != op2(e22,e20)+ & op2(e20,e20) != op2(e23,e20)+ & op2(e20,e20) != op2(e22,e20)+ & op2(e20,e20) != op2(e21,e20) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f204,plain,(+ op2(e20,e20) != op2(e21,e20) ),+ inference(cnf_transformation,[],[f6])).++fof(f205,plain,(+ op2(e20,e20) != op2(e22,e20) ),+ inference(cnf_transformation,[],[f6])).++fof(f240,plain,(+ op2(e22,e20) != op2(e22,e21) ),+ inference(cnf_transformation,[],[f6])).++fof(f242,plain,(+ op2(e22,e20) != op2(e22,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f4,axiom,+ ( ( op2(e23,e23) = e23+ | op2(e22,e23) = e23+ | op2(e21,e23) = e23+ | op2(e20,e23) = e23 )+ & ( op2(e23,e23) = e23+ | op2(e23,e22) = e23+ | op2(e23,e21) = e23+ | op2(e23,e20) = e23 )+ & ( op2(e23,e23) = e22+ | op2(e22,e23) = e22+ | op2(e21,e23) = e22+ | op2(e20,e23) = e22 )+ & ( op2(e23,e23) = e22+ | op2(e23,e22) = e22+ | op2(e23,e21) = e22+ | op2(e23,e20) = e22 )+ & ( op2(e23,e23) = e21+ | op2(e22,e23) = e21+ | op2(e21,e23) = e21+ | op2(e20,e23) = e21 )+ & ( op2(e23,e23) = e21+ | op2(e23,e22) = e21+ | op2(e23,e21) = e21+ | op2(e23,e20) = e21 )+ & ( e20 = op2(e23,e23)+ | e20 = op2(e22,e23)+ | e20 = op2(e21,e23)+ | e20 = op2(e20,e23) )+ & ( e20 = op2(e23,e23)+ | e20 = op2(e23,e22)+ | e20 = op2(e23,e21)+ | e20 = op2(e23,e20) )+ & ( op2(e23,e22) = e23+ | op2(e22,e22) = e23+ | op2(e21,e22) = e23+ | op2(e20,e22) = e23 )+ & ( op2(e22,e23) = e23+ | op2(e22,e22) = e23+ | op2(e22,e21) = e23+ | op2(e22,e20) = e23 )+ & ( op2(e23,e22) = e22+ | op2(e22,e22) = e22+ | op2(e21,e22) = e22+ | op2(e20,e22) = e22 )+ & ( op2(e22,e23) = e22+ | op2(e22,e22) = e22+ | op2(e22,e21) = e22+ | op2(e22,e20) = e22 )+ & ( op2(e23,e22) = e21+ | op2(e22,e22) = e21+ | op2(e21,e22) = e21+ | op2(e20,e22) = e21 )+ & ( op2(e22,e23) = e21+ | op2(e22,e22) = e21+ | op2(e22,e21) = e21+ | op2(e22,e20) = e21 )+ & ( e20 = op2(e23,e22)+ | e20 = op2(e22,e22)+ | e20 = op2(e21,e22)+ | e20 = op2(e20,e22) )+ & ( e20 = op2(e22,e23)+ | e20 = op2(e22,e22)+ | e20 = op2(e22,e21)+ | e20 = op2(e22,e20) )+ & ( op2(e23,e21) = e23+ | op2(e22,e21) = e23+ | op2(e21,e21) = e23+ | op2(e20,e21) = e23 )+ & ( op2(e21,e23) = e23+ | op2(e21,e22) = e23+ | op2(e21,e21) = e23+ | op2(e21,e20) = e23 )+ & ( op2(e23,e21) = e22+ | op2(e22,e21) = e22+ | op2(e21,e21) = e22+ | op2(e20,e21) = e22 )+ & ( op2(e21,e23) = e22+ | op2(e21,e22) = e22+ | op2(e21,e21) = e22+ | op2(e21,e20) = e22 )+ & ( op2(e23,e21) = e21+ | op2(e22,e21) = e21+ | op2(e21,e21) = e21+ | op2(e20,e21) = e21 )+ & ( op2(e21,e23) = e21+ | op2(e21,e22) = e21+ | op2(e21,e21) = e21+ | op2(e21,e20) = e21 )+ & ( e20 = op2(e23,e21)+ | e20 = op2(e22,e21)+ | e20 = op2(e21,e21)+ | e20 = op2(e20,e21) )+ & ( e20 = op2(e21,e23)+ | e20 = op2(e21,e22)+ | e20 = op2(e21,e21)+ | e20 = op2(e21,e20) )+ & ( op2(e23,e20) = e23+ | op2(e22,e20) = e23+ | op2(e21,e20) = e23+ | op2(e20,e20) = e23 )+ & ( op2(e20,e23) = e23+ | op2(e20,e22) = e23+ | op2(e20,e21) = e23+ | op2(e20,e20) = e23 )+ & ( op2(e23,e20) = e22+ | op2(e22,e20) = e22+ | op2(e21,e20) = e22+ | op2(e20,e20) = e22 )+ & ( op2(e20,e23) = e22+ | op2(e20,e22) = e22+ | op2(e20,e21) = e22+ | op2(e20,e20) = e22 )+ & ( op2(e23,e20) = e21+ | op2(e22,e20) = e21+ | op2(e21,e20) = e21+ | op2(e20,e20) = e21 )+ & ( op2(e20,e23) = e21+ | op2(e20,e22) = e21+ | op2(e20,e21) = e21+ | op2(e20,e20) = e21 )+ & ( e20 = op2(e23,e20)+ | e20 = op2(e22,e20)+ | e20 = op2(e21,e20)+ | e20 = op2(e20,e20) )+ & ( e20 = op2(e20,e23)+ | e20 = op2(e20,e22)+ | e20 = op2(e20,e21)+ | e20 = op2(e20,e20) ) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f142,plain,+ ( op2(e22,e23) = e21+ | op2(e22,e22) = e21+ | op2(e22,e21) = e21+ | op2(e22,e20) = e21 ),+ inference(cnf_transformation,[],[f4])).++fof(f169,plain,(+ op1(e10,e12) != op1(e12,e12) ),+ inference(cnf_transformation,[],[f5])).++fof(f75,plain,+ ( op1(e13,e13) = e13+ | op1(e13,e13) = e12+ | op1(e13,e13) = e11+ | e10 = op1(e13,e13) ),+ inference(cnf_transformation,[],[f1])).++fof(f181,plain,(+ op1(e10,e10) != op1(e10,e12) ),+ inference(cnf_transformation,[],[f5])).++fof(f185,plain,(+ op1(e10,e12) != op1(e10,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f62,plain,+ ( op1(e10,e12) = e13+ | op1(e10,e12) = e12+ | op1(e10,e12) = e11+ | e10 = op1(e10,e12) ),+ inference(cnf_transformation,[],[f1])).++fof(f252,plain,(+ e10 != e11 ),+ inference(cnf_transformation,[],[f7])).++fof(f256,plain,(+ e11 != e13 ),+ inference(cnf_transformation,[],[f7])).++fof(f189,plain,(+ op1(e11,e11) != op1(e11,e12) ),+ inference(cnf_transformation,[],[f5])).++fof(f190,plain,(+ op1(e11,e11) != op1(e11,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f193,plain,(+ op1(e12,e10) != op1(e12,e12) ),+ inference(cnf_transformation,[],[f5])).++fof(f200,plain,(+ op1(e13,e10) != op1(e13,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f77,plain,+ ( e10 = op1(e13,e10)+ | e10 = op1(e12,e10)+ | e10 = op1(e11,e10)+ | e10 = op1(e10,e10) ),+ inference(cnf_transformation,[],[f2])).++fof(f95,plain,+ ( op1(e13,e12) = e11+ | op1(e12,e12) = e11+ | op1(e11,e12) = e11+ | op1(e10,e12) = e11 ),+ inference(cnf_transformation,[],[f2])).++fof(f97,plain,+ ( op1(e13,e12) = e12+ | op1(e12,e12) = e12+ | op1(e11,e12) = e12+ | op1(e10,e12) = e12 ),+ inference(cnf_transformation,[],[f2])).++fof(f101,plain,+ ( e10 = op1(e13,e13)+ | e10 = op1(e12,e13)+ | e10 = op1(e11,e13)+ | e10 = op1(e10,e13) ),+ inference(cnf_transformation,[],[f2])).++fof(f65,plain,+ ( op1(e11,e11) = e13+ | op1(e11,e11) = e12+ | op1(e11,e11) = e11+ | e10 = op1(e11,e11) ),+ inference(cnf_transformation,[],[f1])).++fof(f202,plain,(+ op1(e13,e11) != op1(e13,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f289,plain,+ ( op1(e11,op1(e10,e11)) = e11+ | ~ sP0 ),+ inference(cnf_transformation,[],[f44])).++fof(f87,plain,+ ( op1(e13,e11) = e11+ | op1(e12,e11) = e11+ | op1(e11,e11) = e11+ | op1(e10,e11) = e11 ),+ inference(cnf_transformation,[],[f2])).++fof(f165,plain,(+ op1(e11,e11) != op1(e12,e11) ),+ inference(cnf_transformation,[],[f5])).++fof(f198,plain,(+ op1(e13,e10) != op1(e13,e11) ),+ inference(cnf_transformation,[],[f5])).++fof(f162,plain,(+ op1(e10,e11) != op1(e11,e11) ),+ inference(cnf_transformation,[],[f5])).++fof(f73,plain,+ ( op1(e13,e11) = e13+ | op1(e13,e11) = e12+ | op1(e13,e11) = e11+ | e10 = op1(e13,e11) ),+ inference(cnf_transformation,[],[f1])).++fof(f166,plain,(+ op1(e11,e11) != op1(e13,e11) ),+ inference(cnf_transformation,[],[f5])).++fof(f89,plain,+ ( op1(e13,e11) = e12+ | op1(e12,e11) = e12+ | op1(e11,e11) = e12+ | op1(e10,e11) = e12 ),+ inference(cnf_transformation,[],[f2])).++fof(f163,plain,(+ op1(e10,e11) != op1(e12,e11) ),+ inference(cnf_transformation,[],[f5])).++fof(f80,plain,+ ( op1(e10,e13) = e12+ | op1(e10,e12) = e12+ | op1(e10,e11) = e12+ | op1(e10,e10) = e12 ),+ inference(cnf_transformation,[],[f2])).++fof(f11,axiom,+ ( ( op2(e23,op2(e23,e23)) = e23+ & op2(e22,op2(e23,e22)) = e22+ & op2(e21,op2(e23,e21)) = e21+ & e20 = op2(e20,op2(e23,e20)) )+ | ( op2(e23,op2(e22,e23)) = e23+ & op2(e22,op2(e22,e22)) = e22+ & op2(e21,op2(e22,e21)) = e21+ & e20 = op2(e20,op2(e22,e20)) )+ | ( op2(e23,op2(e21,e23)) = e23+ & op2(e22,op2(e21,e22)) = e22+ & op2(e21,op2(e21,e21)) = e21+ & e20 = op2(e20,op2(e21,e20)) )+ | ( op2(e23,op2(e20,e23)) = e23+ & op2(e22,op2(e20,e22)) = e22+ & op2(e21,op2(e20,e21)) = e21+ & e20 = op2(e20,op2(e20,e20)) ) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f27,plain,+ ( ( op2(e23,op2(e22,e23)) = e23+ & op2(e22,op2(e22,e22)) = e22+ & op2(e21,op2(e22,e21)) = e21+ & e20 = op2(e20,op2(e22,e20)) )+ | ~ sP5 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])).++fof(f26,plain,+ ( ( op2(e23,op2(e21,e23)) = e23+ & op2(e22,op2(e21,e22)) = e22+ & op2(e21,op2(e21,e21)) = e21+ & e20 = op2(e20,op2(e21,e20)) )+ | ~ sP4 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])).++fof(f25,plain,+ ( ( op2(e23,op2(e20,e23)) = e23+ & op2(e22,op2(e20,e22)) = e22+ & op2(e21,op2(e20,e21)) = e21+ & e20 = op2(e20,op2(e20,e20)) )+ | ~ sP3 ),+ introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])).++fof(f28,plain,+ ( ( op2(e23,op2(e23,e23)) = e23+ & op2(e22,op2(e23,e22)) = e22+ & op2(e21,op2(e23,e21)) = e21+ & e20 = op2(e20,op2(e23,e20)) )+ | sP5+ | sP4+ | sP3 ),+ inference(definition_folding,[],[f11,f27,f26,f25])).++fof(f310,plain,+ ( op2(e22,op2(e23,e22)) = e22+ | sP5+ | sP4+ | sP3 ),+ inference(cnf_transformation,[],[f28])).++fof(f45,plain,+ ( ( op2(e23,op2(e22,e23)) = e23+ & op2(e22,op2(e22,e22)) = e22+ & op2(e21,op2(e22,e21)) = e21+ & e20 = op2(e20,op2(e22,e20)) )+ | ~ sP5 ),+ inference(nnf_transformation,[],[f27])).++fof(f298,plain,+ ( op2(e22,op2(e22,e22)) = e22+ | ~ sP5 ),+ inference(cnf_transformation,[],[f45])).++fof(f261,plain,(+ e21 != e22 ),+ inference(cnf_transformation,[],[f8])).++fof(f46,plain,+ ( ( op2(e23,op2(e21,e23)) = e23+ & op2(e22,op2(e21,e22)) = e22+ & op2(e21,op2(e21,e21)) = e21+ & e20 = op2(e20,op2(e21,e20)) )+ | ~ sP4 ),+ inference(nnf_transformation,[],[f26])).++fof(f303,plain,+ ( op2(e23,op2(e21,e23)) = e23+ | ~ sP4 ),+ inference(cnf_transformation,[],[f46])).++fof(f301,plain,+ ( op2(e21,op2(e21,e21)) = e21+ | ~ sP4 ),+ inference(cnf_transformation,[],[f46])).++fof(f260,plain,(+ e20 != e23 ),+ inference(cnf_transformation,[],[f8])).++fof(f262,plain,(+ e21 != e23 ),+ inference(cnf_transformation,[],[f8])).++fof(f207,plain,(+ op2(e21,e20) != op2(e22,e20) ),+ inference(cnf_transformation,[],[f6])).++fof(f208,plain,(+ op2(e21,e20) != op2(e23,e20) ),+ inference(cnf_transformation,[],[f6])).++fof(f219,plain,(+ op2(e21,e22) != op2(e22,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f131,plain,+ ( op2(e23,e20) = e23+ | op2(e22,e20) = e23+ | op2(e21,e20) = e23+ | op2(e20,e20) = e23 ),+ inference(cnf_transformation,[],[f4])).++fof(f132,plain,+ ( e20 = op2(e21,e23)+ | e20 = op2(e21,e22)+ | e20 = op2(e21,e21)+ | e20 = op2(e21,e20) ),+ inference(cnf_transformation,[],[f4])).++fof(f47,plain,+ ( ( op2(e23,op2(e20,e23)) = e23+ & op2(e22,op2(e20,e22)) = e22+ & op2(e21,op2(e20,e21)) = e21+ & e20 = op2(e20,op2(e20,e20)) )+ | ~ sP3 ),+ inference(nnf_transformation,[],[f25])).++fof(f306,plain,+ ( op2(e22,op2(e20,e22)) = e22+ | ~ sP3 ),+ inference(cnf_transformation,[],[f47])).++fof(f259,plain,(+ e20 != e22 ),+ inference(cnf_transformation,[],[f8])).++fof(f263,plain,(+ e22 != e23 ),+ inference(cnf_transformation,[],[f8])).++fof(f220,plain,(+ op2(e21,e22) != op2(e23,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f225,plain,(+ op2(e21,e23) != op2(e22,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f17,axiom,+ ( op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = h4(e13)+ & op2(e23,op2(e23,e23)) = h4(e11)+ & op2(e23,e23) = h4(e10)+ & e23 = h4(e12) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f330,plain,(+ e23 = h4(e12) ),+ inference(cnf_transformation,[],[f17])).++fof(f147,plain,+ ( op2(e23,e22) = e23+ | op2(e22,e22) = e23+ | op2(e21,e22) = e23+ | op2(e20,e22) = e23 ),+ inference(cnf_transformation,[],[f4])).++fof(f130,plain,+ ( op2(e20,e23) = e23+ | op2(e20,e22) = e23+ | op2(e20,e21) = e23+ | op2(e20,e20) = e23 ),+ inference(cnf_transformation,[],[f4])).++fof(f216,plain,(+ op2(e20,e22) != op2(e21,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f221,plain,(+ op2(e22,e22) != op2(e23,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f224,plain,(+ op2(e20,e23) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f229,plain,(+ op2(e20,e20) != op2(e20,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f235,plain,(+ op2(e21,e20) != op2(e21,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f237,plain,(+ op2(e21,e21) != op2(e21,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f129,plain,+ ( op2(e23,e20) = e22+ | op2(e22,e20) = e22+ | op2(e21,e20) = e22+ | op2(e20,e20) = e22 ),+ inference(cnf_transformation,[],[f4])).++fof(f148,plain,+ ( e20 = op2(e23,e23)+ | e20 = op2(e23,e22)+ | e20 = op2(e23,e21)+ | e20 = op2(e23,e20) ),+ inference(cnf_transformation,[],[f4])).++fof(f151,plain,+ ( op2(e23,e23) = e21+ | op2(e22,e23) = e21+ | op2(e21,e23) = e21+ | op2(e20,e23) = e21 ),+ inference(cnf_transformation,[],[f4])).++fof(f152,plain,+ ( op2(e23,e23) = e22+ | op2(e23,e22) = e22+ | op2(e23,e21) = e22+ | op2(e23,e20) = e22 ),+ inference(cnf_transformation,[],[f4])).++fof(f114,plain,+ ( op2(e21,e22) = e23+ | op2(e21,e22) = e22+ | op2(e21,e22) = e21+ | e20 = op2(e21,e22) ),+ inference(cnf_transformation,[],[f3])).++fof(f309,plain,+ ( op2(e21,op2(e23,e21)) = e21+ | sP5+ | sP4+ | sP3 ),+ inference(cnf_transformation,[],[f28])).++fof(f307,plain,+ ( op2(e23,op2(e20,e23)) = e23+ | ~ sP3 ),+ inference(cnf_transformation,[],[f47])).++fof(f311,plain,+ ( op2(e23,op2(e23,e23)) = e23+ | sP5+ | sP4+ | sP3 ),+ inference(cnf_transformation,[],[f28])).++fof(f110,plain,+ ( op2(e20,e22) = e23+ | op2(e20,e22) = e22+ | op2(e20,e22) = e21+ | e20 = op2(e20,e22) ),+ inference(cnf_transformation,[],[f3])).++fof(f217,plain,(+ op2(e20,e22) != op2(e22,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f149,plain,+ ( e20 = op2(e23,e23)+ | e20 = op2(e22,e23)+ | e20 = op2(e21,e23)+ | e20 = op2(e20,e23) ),+ inference(cnf_transformation,[],[f4])).++fof(f206,plain,(+ op2(e20,e20) != op2(e23,e20) ),+ inference(cnf_transformation,[],[f6])).++fof(f210,plain,(+ op2(e20,e21) != op2(e21,e21) ),+ inference(cnf_transformation,[],[f6])).++fof(f214,plain,(+ op2(e21,e21) != op2(e23,e21) ),+ inference(cnf_transformation,[],[f6])).++fof(f124,plain,+ ( e20 = op2(e20,e23)+ | e20 = op2(e20,e22)+ | e20 = op2(e20,e21)+ | e20 = op2(e20,e20) ),+ inference(cnf_transformation,[],[f4])).++fof(f134,plain,+ ( op2(e21,e23) = e21+ | op2(e21,e22) = e21+ | op2(e21,e21) = e21+ | op2(e21,e20) = e21 ),+ inference(cnf_transformation,[],[f4])).++fof(f232,plain,(+ op2(e20,e21) != op2(e20,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f233,plain,(+ op2(e20,e22) != op2(e20,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f211,plain,(+ op2(e20,e21) != op2(e22,e21) ),+ inference(cnf_transformation,[],[f6])).++fof(f212,plain,(+ op2(e20,e21) != op2(e23,e21) ),+ inference(cnf_transformation,[],[f6])).++fof(f215,plain,(+ op2(e22,e21) != op2(e23,e21) ),+ inference(cnf_transformation,[],[f6])).++fof(f218,plain,(+ op2(e20,e22) != op2(e23,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f231,plain,(+ op2(e20,e21) != op2(e20,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f244,plain,(+ op2(e22,e21) != op2(e22,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f249,plain,(+ op2(e23,e21) != op2(e23,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f121,plain,+ ( op2(e23,e21) = e23+ | op2(e23,e21) = e22+ | op2(e23,e21) = e21+ | e20 = op2(e23,e21) ),+ inference(cnf_transformation,[],[f3])).++fof(f122,plain,+ ( op2(e23,e22) = e23+ | op2(e23,e22) = e22+ | op2(e23,e22) = e21+ | e20 = op2(e23,e22) ),+ inference(cnf_transformation,[],[f3])).++fof(f117,plain,+ ( op2(e22,e21) = e23+ | op2(e22,e21) = e22+ | op2(e22,e21) = e21+ | e20 = op2(e22,e21) ),+ inference(cnf_transformation,[],[f3])).++fof(f243,plain,(+ op2(e22,e21) != op2(e22,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f222,plain,(+ op2(e20,e23) != op2(e21,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f111,plain,+ ( op2(e20,e23) = e23+ | op2(e20,e23) = e22+ | op2(e20,e23) = e21+ | e20 = op2(e20,e23) ),+ inference(cnf_transformation,[],[f3])).++fof(f213,plain,(+ op2(e21,e21) != op2(e22,e21) ),+ inference(cnf_transformation,[],[f6])).++fof(f223,plain,(+ op2(e20,e23) != op2(e22,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f144,plain,+ ( op2(e22,e23) = e22+ | op2(e22,e22) = e22+ | op2(e22,e21) = e22+ | op2(e22,e20) = e22 ),+ inference(cnf_transformation,[],[f4])).++fof(f136,plain,+ ( op2(e21,e23) = e22+ | op2(e21,e22) = e22+ | op2(e21,e21) = e22+ | op2(e21,e20) = e22 ),+ inference(cnf_transformation,[],[f4])).++fof(f230,plain,(+ op2(e20,e20) != op2(e20,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f247,plain,(+ op2(e23,e20) != op2(e23,e22) ),+ inference(cnf_transformation,[],[f6])).++fof(f145,plain,+ ( op2(e23,e22) = e22+ | op2(e22,e22) = e22+ | op2(e21,e22) = e22+ | op2(e20,e22) = e22 ),+ inference(cnf_transformation,[],[f4])).++fof(f228,plain,(+ op2(e20,e20) != op2(e20,e21) ),+ inference(cnf_transformation,[],[f6])).++fof(f234,plain,(+ op2(e21,e20) != op2(e21,e21) ),+ inference(cnf_transformation,[],[f6])).++fof(f135,plain,+ ( op2(e23,e21) = e21+ | op2(e22,e21) = e21+ | op2(e21,e21) = e21+ | op2(e20,e21) = e21 ),+ inference(cnf_transformation,[],[f4])).++fof(f109,plain,+ ( op2(e20,e21) = e23+ | op2(e20,e21) = e22+ | op2(e20,e21) = e21+ | e20 = op2(e20,e21) ),+ inference(cnf_transformation,[],[f3])).++fof(f305,plain,+ ( op2(e21,op2(e20,e21)) = e21+ | ~ sP3 ),+ inference(cnf_transformation,[],[f47])).++fof(f155,plain,+ ( op2(e23,e23) = e23+ | op2(e22,e23) = e23+ | op2(e21,e23) = e23+ | op2(e20,e23) = e23 ),+ inference(cnf_transformation,[],[f4])).++fof(f236,plain,(+ op2(e21,e20) != op2(e21,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f251,plain,(+ op2(e23,e22) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f238,plain,(+ op2(e21,e21) != op2(e21,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f133,plain,+ ( e20 = op2(e23,e21)+ | e20 = op2(e22,e21)+ | e20 = op2(e21,e21)+ | e20 = op2(e20,e21) ),+ inference(cnf_transformation,[],[f4])).++fof(f153,plain,+ ( op2(e23,e23) = e22+ | op2(e22,e23) = e22+ | op2(e21,e23) = e22+ | op2(e20,e23) = e22 ),+ inference(cnf_transformation,[],[f4])).++fof(f137,plain,+ ( op2(e23,e21) = e22+ | op2(e22,e21) = e22+ | op2(e21,e21) = e22+ | op2(e20,e21) = e22 ),+ inference(cnf_transformation,[],[f4])).++fof(f139,plain,+ ( op2(e23,e21) = e23+ | op2(e22,e21) = e23+ | op2(e21,e21) = e23+ | op2(e20,e21) = e23 ),+ inference(cnf_transformation,[],[f4])).++fof(f226,plain,(+ op2(e21,e23) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f150,plain,+ ( op2(e23,e23) = e21+ | op2(e23,e22) = e21+ | op2(e23,e21) = e21+ | op2(e23,e20) = e21 ),+ inference(cnf_transformation,[],[f4])).++fof(f209,plain,(+ op2(e22,e20) != op2(e23,e20) ),+ inference(cnf_transformation,[],[f6])).++fof(f246,plain,(+ op2(e23,e20) != op2(e23,e21) ),+ inference(cnf_transformation,[],[f6])).++fof(f15,axiom,+ ( op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = h2(e13)+ & op2(e21,op2(e21,e21)) = h2(e11)+ & op2(e21,e21) = h2(e10)+ & e21 = h2(e12) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).++fof(f322,plain,(+ e21 = h2(e12) ),+ inference(cnf_transformation,[],[f15])).++fof(f227,plain,(+ op2(e22,e23) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f250,plain,(+ op2(e23,e21) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f128,plain,+ ( op2(e20,e23) = e22+ | op2(e20,e22) = e22+ | op2(e20,e21) = e22+ | op2(e20,e20) = e22 ),+ inference(cnf_transformation,[],[f4])).++fof(f123,plain,+ ( op2(e23,e23) = e23+ | op2(e23,e23) = e22+ | op2(e23,e23) = e21+ | e20 = op2(e23,e23) ),+ inference(cnf_transformation,[],[f3])).++fof(f120,plain,+ ( op2(e23,e20) = e23+ | op2(e23,e20) = e22+ | op2(e23,e20) = e21+ | e20 = op2(e23,e20) ),+ inference(cnf_transformation,[],[f3])).++fof(f119,plain,+ ( op2(e22,e23) = e23+ | op2(e22,e23) = e22+ | op2(e22,e23) = e21+ | e20 = op2(e22,e23) ),+ inference(cnf_transformation,[],[f3])).++fof(f239,plain,(+ op2(e21,e22) != op2(e21,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f248,plain,(+ op2(e23,e20) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f245,plain,(+ op2(e22,e22) != op2(e22,e23) ),+ inference(cnf_transformation,[],[f6])).++fof(f138,plain,+ ( op2(e21,e23) = e23+ | op2(e21,e22) = e23+ | op2(e21,e21) = e23+ | op2(e21,e20) = e23 ),+ inference(cnf_transformation,[],[f4])).++fof(f116,plain,+ ( op2(e22,e20) = e23+ | op2(e22,e20) = e22+ | op2(e22,e20) = e21+ | e20 = op2(e22,e20) ),+ inference(cnf_transformation,[],[f3])).++fof(f308,plain,+ ( e20 = op2(e20,op2(e23,e20))+ | sP5+ | sP4+ | sP3 ),+ inference(cnf_transformation,[],[f28])).++fof(f318,plain,(+ e20 = h1(e12) ),+ inference(cnf_transformation,[],[f14])).++fof(f113,plain,+ ( op2(e21,e21) = e23+ | op2(e21,e21) = e22+ | op2(e21,e21) = e21+ | e20 = op2(e21,e21) ),+ inference(cnf_transformation,[],[f3])).++fof(f125,plain,+ ( e20 = op2(e23,e20)+ | e20 = op2(e22,e20)+ | e20 = op2(e21,e20)+ | e20 = op2(e20,e20) ),+ inference(cnf_transformation,[],[f4])).++fof(f53,plain,+ ( ( e20 != h3(e13)+ & e20 != h3(e12)+ & e20 != h3(e11)+ & e20 != h3(e10) )+ | ~ sP12 ),+ inference(nnf_transformation,[],[f35])).++fof(f354,plain,+ ( e20 != h3(e10)+ | ~ sP12 ),+ inference(cnf_transformation,[],[f53])).++fof(f52,plain,+ ( ( e21 != h3(e13)+ & e21 != h3(e12)+ & e21 != h3(e11)+ & e21 != h3(e10) )+ | ~ sP13 ),+ inference(nnf_transformation,[],[f36])).++fof(f351,plain,+ ( e21 != h3(e11)+ | ~ sP13 ),+ inference(cnf_transformation,[],[f52])).++fof(f328,plain,(+ op2(e22,op2(e22,e22)) = h3(e11) ),+ inference(cnf_transformation,[],[f16])).++fof(f74,plain,+ ( op1(e13,e12) = e13+ | op1(e13,e12) = e12+ | op1(e13,e12) = e11+ | e10 = op1(e13,e12) ),+ inference(cnf_transformation,[],[f1])).++fof(f104,plain,+ ( op1(e13,e13) = e12+ | op1(e13,e12) = e12+ | op1(e13,e11) = e12+ | op1(e13,e10) = e12 ),+ inference(cnf_transformation,[],[f2])).++fof(f161,plain,(+ op1(e12,e10) != op1(e13,e10) ),+ inference(cnf_transformation,[],[f5])).++fof(f96,plain,+ ( op1(e12,e13) = e12+ | op1(e12,e12) = e12+ | op1(e12,e11) = e12+ | op1(e12,e10) = e12 ),+ inference(cnf_transformation,[],[f2])).++fof(f158,plain,(+ op1(e10,e10) != op1(e13,e10) ),+ inference(cnf_transformation,[],[f5])).++fof(f64,plain,+ ( op1(e11,e10) = e13+ | op1(e11,e10) = e12+ | op1(e11,e10) = e11+ | e10 = op1(e11,e10) ),+ inference(cnf_transformation,[],[f1])).++fof(f323,plain,(+ op2(e21,e21) = h2(e10) ),+ inference(cnf_transformation,[],[f15])).++fof(f66,plain,+ ( op1(e11,e12) = e13+ | op1(e11,e12) = e12+ | op1(e11,e12) = e11+ | e10 = op1(e11,e12) ),+ inference(cnf_transformation,[],[f1])).++fof(f199,plain,(+ op1(e13,e10) != op1(e13,e12) ),+ inference(cnf_transformation,[],[f5])).++fof(f67,plain,+ ( op1(e11,e13) = e13+ | op1(e11,e13) = e12+ | op1(e11,e13) = e11+ | e10 = op1(e11,e13) ),+ inference(cnf_transformation,[],[f1])).++fof(f191,plain,(+ op1(e11,e12) != op1(e11,e13) ),+ inference(cnf_transformation,[],[f5])).++fof(f68,plain,+ ( op1(e12,e10) = e13+ | op1(e12,e10) = e12+ | op1(e12,e10) = e11+ | e10 = op1(e12,e10) ),+ inference(cnf_transformation,[],[f1])).++fof(f72,plain,+ ( op1(e13,e10) = e13+ | op1(e13,e10) = e12+ | op1(e13,e10) = e11+ | e10 = op1(e13,e10) ),+ inference(cnf_transformation,[],[f1])).++fof(f115,plain,+ ( op2(e21,e23) = e23+ | op2(e21,e23) = e22+ | op2(e21,e23) = e21+ | e20 = op2(e21,e23) ),+ inference(cnf_transformation,[],[f3])).++fof(f126,plain,+ ( op2(e20,e23) = e21+ | op2(e20,e22) = e21+ | op2(e20,e21) = e21+ | op2(e20,e20) = e21 ),+ inference(cnf_transformation,[],[f4])).++cnf(c_16532,plain,+ ( X0 != X1+ | X2 != X1+ | X2 = X0 ),+ theory(equality)).++cnf(c_16531,plain,+ ( X0 = X0 ),+ theory(equality)).++cnf(c_3013688,plain,+ ( X0 != X1+ | X1 = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_16531])).++cnf(c_255,plain,+ ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = e23 ),+ inference(cnf_transformation,[],[f317])).++cnf(c_3013709,plain,+ ( e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(resolution,[status(thm)],[c_3013688,c_255])).++cnf(c_3040624,plain,+ ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | e23 = X0 ),+ inference(resolution,[status(thm)],[c_3013709,c_16532])).++cnf(c_266,plain,+ ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13) ),+ inference(cnf_transformation,[],[f329])).++cnf(c_3013680,plain,+ ( X0 != h3(e13)+ | op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_266])).++cnf(c_3039888,plain,+ ( X0 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | X0 != h3(e13) ),+ inference(resolution,[status(thm)],[c_3013680,c_3013688])).++cnf(c_3567206,plain,+ ( X0 != h3(e13)+ | e23 = X0 ),+ inference(resolution,[status(thm)],[c_3040624,c_3039888])).++cnf(c_16537,plain,+ ( X0 != X1+ | h3(X0) = h3(X1) ),+ theory(equality)).++cnf(c_3013691,plain,+ ( X0 != X1+ | X2 != h3(X1)+ | h3(X0) = X2 ),+ inference(resolution,[status(thm)],[c_16532,c_16537])).++cnf(c_3039293,plain,+ ( X0 != X1+ | X2 != X1+ | h3(X0) = h3(X2) ),+ inference(resolution,[status(thm)],[c_3013691,c_16537])).++cnf(c_14,plain,+ ( op1(e10,e11) = e11+ | op1(e10,e11) = e12+ | op1(e10,e11) = e13+ | e10 = op1(e10,e11) ),+ inference(cnf_transformation,[],[f61])).++cnf(c_103,plain,+ ( op1(e12,e11) != op1(e12,e13) ),+ inference(cnf_transformation,[],[f196])).++cnf(c_16560,plain,+ ( op1(e12,e11) != X0+ | op1(e12,e11) = op1(e12,e13)+ | op1(e12,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16996,plain,+ ( op1(e12,e11) != op1(X0,X1)+ | op1(e12,e11) = op1(e12,e13)+ | op1(e12,e13) != op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_16560])).++cnf(c_18139,plain,+ ( op1(e12,e11) != op1(e12,e11)+ | op1(e12,e11) = op1(e12,e13)+ | op1(e12,e13) != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_16996])).++cnf(c_18140,plain,+ ( op1(e12,e11) = op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_29863,plain,+ ( X0 != X1+ | op1(e12,e13) != X1+ | op1(e12,e13) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_30891,plain,+ ( X0 != e13+ | op1(e12,e13) = X0+ | op1(e12,e13) != e13 ),+ inference(instantiation,[status(thm)],[c_29863])).++cnf(c_34859,plain,+ ( op1(e12,e11) != e13+ | op1(e12,e13) = op1(e12,e11)+ | op1(e12,e13) != e13 ),+ inference(instantiation,[status(thm)],[c_30891])).++cnf(c_4,plain,+ ( op1(e12,e13) = e11+ | op1(e12,e13) = e12+ | op1(e12,e13) = e13+ | e10 = op1(e12,e13) ),+ inference(cnf_transformation,[],[f71])).++cnf(c_254,plain,+ ( e10 = op1(e12,e12) ),+ inference(cnf_transformation,[],[f312])).++cnf(c_253,plain,+ ( op1(e12,op1(e12,e12)) = e11 ),+ inference(cnf_transformation,[],[f313])).++cnf(c_105,plain,+ ( op1(e12,e10) != op1(e12,e13) ),+ inference(cnf_transformation,[],[f194])).++cnf(c_102,plain,+ ( op1(e12,e12) != op1(e12,e13) ),+ inference(cnf_transformation,[],[f197])).++cnf(c_16533,plain,+ ( X0 != X1+ | X2 != X3+ | op1(X0,X2) = op1(X1,X3) ),+ theory(equality)).++cnf(c_16539,plain,+ ( op1(e12,e12) = op1(e12,e12)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_16545,plain,+ ( e12 = e12 ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_16564,plain,+ ( op1(e12,e10) != X0+ | op1(e12,e10) = op1(e12,e13)+ | op1(e12,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17004,plain,+ ( op1(e12,e10) = op1(e12,e13)+ | op1(e12,e10) != e11+ | op1(e12,e13) != e11 ),+ inference(instantiation,[status(thm)],[c_16564])).++cnf(c_17013,plain,+ ( e11 = e11 ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17105,plain,+ ( op1(e12,e13) = op1(e12,e13) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17009,plain,+ ( op1(e12,e10) = op1(X0,X1)+ | e10 != X1+ | e12 != X0 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_18165,plain,+ ( op1(e12,e10) = op1(X0,op1(e12,e12))+ | e10 != op1(e12,e12)+ | e12 != X0 ),+ inference(instantiation,[status(thm)],[c_17009])).++cnf(c_18166,plain,+ ( op1(e12,e10) = op1(e12,op1(e12,e12))+ | e10 != op1(e12,e12)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_18165])).++cnf(c_16991,plain,+ ( X0 != X1+ | op1(e12,e12) != X1+ | op1(e12,e12) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18119,plain,+ ( X0 != op1(e12,e12)+ | op1(e12,e12) = X0+ | op1(e12,e12) != op1(e12,e12) ),+ inference(instantiation,[status(thm)],[c_16991])).++cnf(c_20081,plain,+ ( op1(e12,e12) != op1(e12,e12)+ | op1(e12,e12) = e10+ | e10 != op1(e12,e12) ),+ inference(instantiation,[status(thm)],[c_18119])).++cnf(c_17014,plain,+ ( X0 != X1+ | e11 != X1+ | e11 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18197,plain,+ ( X0 != e11+ | e11 = X0+ | e11 != e11 ),+ inference(instantiation,[status(thm)],[c_17014])).++cnf(c_20243,plain,+ ( op1(e12,op1(e12,e12)) != e11+ | e11 = op1(e12,op1(e12,e12))+ | e11 != e11 ),+ inference(instantiation,[status(thm)],[c_18197])).++cnf(c_16995,plain,+ ( X0 != X1+ | op1(e12,e13) != X1+ | op1(e12,e13) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18137,plain,+ ( X0 != op1(e12,e13)+ | op1(e12,e13) = X0+ | op1(e12,e13) != op1(e12,e13) ),+ inference(instantiation,[status(thm)],[c_16995])).++cnf(c_20399,plain,+ ( op1(e12,e13) != op1(e12,e13)+ | op1(e12,e13) = e10+ | e10 != op1(e12,e13) ),+ inference(instantiation,[status(thm)],[c_18137])).++cnf(c_16558,plain,+ ( op1(e12,e12) != X0+ | op1(e12,e12) = op1(e12,e13)+ | op1(e12,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_23127,plain,+ ( op1(e12,e12) = op1(e12,e13)+ | op1(e12,e12) != e10+ | op1(e12,e13) != e10 ),+ inference(instantiation,[status(thm)],[c_16558])).++cnf(c_30299,plain,+ ( op1(e12,e10) != X0+ | op1(e12,e10) = e11+ | e11 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_32730,plain,+ ( op1(e12,e10) != op1(e12,op1(e12,e12))+ | op1(e12,e10) = e11+ | e11 != op1(e12,op1(e12,e12)) ),+ inference(instantiation,[status(thm)],[c_30299])).++cnf(c_137970,plain,+ ( op1(e12,e13) = e13+ | op1(e12,e13) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4,c_254,c_253,c_105,c_102,c_16539,c_16545,c_17004,c_17013,c_17105,c_18166,c_20081,c_20243,c_20399,c_23127,c_32730])).++cnf(c_137971,plain,+ ( op1(e12,e13) = e12+ | op1(e12,e13) = e13 ),+ inference(renaming,[status(thm)],[c_137970])).++cnf(c_32,plain,+ ( op1(e10,e11) = e13+ | op1(e11,e11) = e13+ | op1(e12,e11) = e13+ | op1(e13,e11) = e13 ),+ inference(cnf_transformation,[],[f91])).++cnf(c_252,plain,+ ( op1(op1(e12,op1(e12,e12)),op1(e12,e12)) = e13 ),+ inference(cnf_transformation,[],[f314])).++cnf(c_120,plain,+ ( op1(e12,e13) != op1(e13,e13) ),+ inference(cnf_transformation,[],[f179])).++cnf(c_113,plain,+ ( op1(e11,e10) != op1(e11,e11) ),+ inference(cnf_transformation,[],[f186])).++cnf(c_98,plain,+ ( op1(e13,e11) != op1(e13,e12) ),+ inference(cnf_transformation,[],[f201])).++cnf(c_16965,plain,+ ( op1(e13,e11) = op1(e13,e11) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_16580,plain,+ ( op1(e11,e10) != X0+ | op1(e11,e10) = op1(e11,e11)+ | op1(e11,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17059,plain,+ ( op1(e11,e10) = op1(e11,e11)+ | op1(e11,e10) != e13+ | op1(e11,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_16580])).++cnf(c_16550,plain,+ ( op1(e13,e11) != X0+ | op1(e13,e11) = op1(e13,e12)+ | op1(e13,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17423,plain,+ ( op1(e13,e11) != op1(e13,e11)+ | op1(e13,e11) = op1(e13,e12)+ | op1(e13,e12) != op1(e13,e11) ),+ inference(instantiation,[status(thm)],[c_16550])).++cnf(c_18082,plain,+ ( e13 = e13 ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17050,plain,+ ( op1(e11,e10) = op1(X0,X1)+ | e10 != X1+ | e11 != X0 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_18263,plain,+ ( op1(e11,e10) = op1(X0,op1(e12,e12))+ | e10 != op1(e12,e12)+ | e11 != X0 ),+ inference(instantiation,[status(thm)],[c_17050])).++cnf(c_23176,plain,+ ( op1(e11,e10) = op1(op1(e12,op1(e12,e12)),op1(e12,e12))+ | e10 != op1(e12,e12)+ | e11 != op1(e12,op1(e12,e12)) ),+ inference(instantiation,[status(thm)],[c_18263])).++cnf(c_16594,plain,+ ( op1(e12,e13) != X0+ | op1(e12,e13) = op1(e13,e13)+ | op1(e13,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_24872,plain,+ ( op1(e12,e13) = op1(e13,e13)+ | op1(e12,e13) != e13+ | op1(e13,e13) != e13 ),+ inference(instantiation,[status(thm)],[c_16594])).++cnf(c_17011,plain,+ ( X0 != X1+ | e13 != X1+ | e13 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19596,plain,+ ( X0 != e13+ | e13 = X0+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_17011])).++cnf(c_27674,plain,+ ( op1(op1(e12,op1(e12,e12)),op1(e12,e12)) != e13+ | e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12))+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_19596])).++cnf(c_30818,plain,+ ( op1(X0,X1) != X2+ | op1(e13,e12) != X2+ | op1(e13,e12) = op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_34177,plain,+ ( op1(e13,e11) != e13+ | op1(e13,e12) = op1(e13,e11)+ | op1(e13,e12) != e13 ),+ inference(instantiation,[status(thm)],[c_30818])).++cnf(c_29900,plain,+ ( X0 != X1+ | op1(e11,e10) != X1+ | op1(e11,e10) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_37231,plain,+ ( op1(e11,e10) != X0+ | op1(e11,e10) = e13+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_29900])).++cnf(c_47043,plain,+ ( op1(e11,e10) != op1(op1(e12,op1(e12,e12)),op1(e12,e12))+ | op1(e11,e10) = e13+ | e13 != op1(op1(e12,op1(e12,e12)),op1(e12,e12)) ),+ inference(instantiation,[status(thm)],[c_37231])).++cnf(c_25,plain,+ ( op1(e12,e10) = e13+ | op1(e12,e11) = e13+ | op1(e12,e12) = e13+ | op1(e12,e13) = e13 ),+ inference(cnf_transformation,[],[f98])).++cnf(c_16561,plain,+ ( op1(e12,e11) = op1(e12,e13)+ | op1(e12,e11) != e12+ | op1(e12,e13) != e12 ),+ inference(instantiation,[status(thm)],[c_16560])).++cnf(c_6,plain,+ ( op1(e12,e11) = e11+ | op1(e12,e11) = e12+ | op1(e12,e11) = e13+ | e10 = op1(e12,e11) ),+ inference(cnf_transformation,[],[f69])).++cnf(c_107,plain,+ ( op1(e12,e10) != op1(e12,e11) ),+ inference(cnf_transformation,[],[f192])).++cnf(c_104,plain,+ ( op1(e12,e11) != op1(e12,e12) ),+ inference(cnf_transformation,[],[f195])).++cnf(c_16568,plain,+ ( op1(e12,e10) != X0+ | op1(e12,e10) = op1(e12,e11)+ | op1(e12,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_20140,plain,+ ( op1(e12,e10) != op1(X0,op1(e12,e12))+ | op1(e12,e10) = op1(e12,e11)+ | op1(e12,e11) != op1(X0,op1(e12,e12)) ),+ inference(instantiation,[status(thm)],[c_16568])).++cnf(c_20144,plain,+ ( op1(e12,e10) != op1(e12,op1(e12,e12))+ | op1(e12,e10) = op1(e12,e11)+ | op1(e12,e11) != op1(e12,op1(e12,e12)) ),+ inference(instantiation,[status(thm)],[c_20140])).++cnf(c_16562,plain,+ ( op1(e12,e11) != X0+ | op1(e12,e11) = op1(e12,e12)+ | op1(e12,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_23126,plain,+ ( op1(e12,e11) = op1(e12,e12)+ | op1(e12,e11) != e10+ | op1(e12,e12) != e10 ),+ inference(instantiation,[status(thm)],[c_16562])).++cnf(c_29852,plain,+ ( X0 != X1+ | op1(e12,e11) != X1+ | op1(e12,e11) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_30876,plain,+ ( X0 != e11+ | op1(e12,e11) = X0+ | op1(e12,e11) != e11 ),+ inference(instantiation,[status(thm)],[c_29852])).++cnf(c_31892,plain,+ ( op1(e12,op1(e12,e12)) != e11+ | op1(e12,e11) = op1(e12,op1(e12,e12))+ | op1(e12,e11) != e11 ),+ inference(instantiation,[status(thm)],[c_30876])).++cnf(c_30882,plain,+ ( X0 != op1(e12,e11)+ | op1(e12,e11) = X0+ | op1(e12,e11) != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_29852])).++cnf(c_32502,plain,+ ( op1(e12,e11) != op1(e12,e11)+ | op1(e12,e11) = e10+ | e10 != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_30882])).++cnf(c_137972,plain,+ ( op1(e12,e11) = e13+ | op1(e12,e11) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_6,c_254,c_253,c_107,c_104,c_16539,c_16545,c_18140,c_18166,c_20081,c_20144,c_23126,c_31892,c_32502])).++cnf(c_137973,plain,+ ( op1(e12,e11) = e12+ | op1(e12,e11) = e13 ),+ inference(renaming,[status(thm)],[c_137972])).++cnf(c_138000,plain,+ ( op1(e12,e11) = e13+ | op1(e12,e13) = e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_25,c_254,c_253,c_107,c_104,c_103,c_6,c_16539,c_16545,c_16561,c_18140,c_18166,c_20081,c_20144,c_23126,c_31892,c_32502,c_137971])).++cnf(c_17,plain,+ ( op1(e13,e10) = e13+ | op1(e13,e11) = e13+ | op1(e13,e12) = e13+ | op1(e13,e13) = e13 ),+ inference(cnf_transformation,[],[f106])).++cnf(c_139,plain,+ ( op1(e11,e10) != op1(e13,e10) ),+ inference(cnf_transformation,[],[f160])).++cnf(c_132,plain,+ ( op1(e12,e11) != op1(e13,e11) ),+ inference(cnf_transformation,[],[f167])).++cnf(c_16632,plain,+ ( op1(e11,e10) != X0+ | op1(e11,e10) = op1(e13,e10)+ | op1(e13,e10) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17224,plain,+ ( op1(e11,e10) = op1(e13,e10)+ | op1(e11,e10) != e13+ | op1(e13,e10) != e13 ),+ inference(instantiation,[status(thm)],[c_16632])).++cnf(c_29817,plain,+ ( X0 != X1+ | op1(e13,e11) != X1+ | op1(e13,e11) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_30823,plain,+ ( X0 != e13+ | op1(e13,e11) = X0+ | op1(e13,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_29817])).++cnf(c_42265,plain,+ ( op1(e10,e12) != e13+ | op1(e13,e11) = op1(e10,e12)+ | op1(e13,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_30823])).++cnf(c_59501,plain,+ ( op1(e12,e11) != X0+ | op1(e12,e11) = op1(e13,e11)+ | op1(e13,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_62565,plain,+ ( op1(e12,e11) != op1(e10,e12)+ | op1(e12,e11) = op1(e13,e11)+ | op1(e13,e11) != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_59501])).++cnf(c_59788,plain,+ ( X0 != X1+ | op1(e12,e11) != X1+ | op1(e12,e11) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_60769,plain,+ ( X0 != op1(e12,e11)+ | op1(e12,e11) = X0+ | op1(e12,e11) != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_59788])).++cnf(c_61724,plain,+ ( op1(X0,X1) != op1(e12,e11)+ | op1(e12,e11) = op1(X0,X1)+ | op1(e12,e11) != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_60769])).++cnf(c_67244,plain,+ ( op1(e10,e12) != op1(e12,e11)+ | op1(e12,e11) = op1(e10,e12)+ | op1(e12,e11) != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_61724])).++cnf(c_24,plain,+ ( op1(e10,e12) = e13+ | op1(e11,e12) = e13+ | op1(e12,e12) = e13+ | op1(e13,e12) = e13 ),+ inference(cnf_transformation,[],[f99])).++cnf(c_143,plain,+ ( op1(e10,e10) != op1(e11,e10) ),+ inference(cnf_transformation,[],[f156])).++cnf(c_135,plain,+ ( op1(e10,e11) != op1(e13,e11) ),+ inference(cnf_transformation,[],[f164])).++cnf(c_124,plain,+ ( op1(e10,e13) != op1(e12,e13) ),+ inference(cnf_transformation,[],[f175])).++cnf(c_112,plain,+ ( op1(e11,e10) != op1(e11,e12) ),+ inference(cnf_transformation,[],[f187])).++cnf(c_41,plain,+ ( op1(e10,e10) = e13+ | op1(e10,e11) = e13+ | op1(e10,e12) = e13+ | op1(e10,e13) = e13 ),+ inference(cnf_transformation,[],[f82])).++cnf(c_16624,plain,+ ( op1(e10,e11) != X0+ | op1(e10,e11) = op1(e13,e11)+ | op1(e13,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17196,plain,+ ( op1(e10,e11) = op1(e13,e11)+ | op1(e10,e11) != e13+ | op1(e13,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_16624])).++cnf(c_16602,plain,+ ( op1(e10,e13) != X0+ | op1(e10,e13) = op1(e12,e13)+ | op1(e12,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19077,plain,+ ( op1(e10,e13) != op1(e10,e13)+ | op1(e10,e13) = op1(e12,e13)+ | op1(e12,e13) != op1(e10,e13) ),+ inference(instantiation,[status(thm)],[c_16602])).++cnf(c_19078,plain,+ ( op1(e10,e13) = op1(e10,e13) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_16640,plain,+ ( op1(e10,e10) != X0+ | op1(e10,e10) = op1(e11,e10)+ | op1(e11,e10) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19289,plain,+ ( op1(e10,e10) = op1(e11,e10)+ | op1(e10,e10) != e13+ | op1(e11,e10) != e13 ),+ inference(instantiation,[status(thm)],[c_16640])).++cnf(c_18141,plain,+ ( op1(X0,X1) != X2+ | op1(e12,e11) != X2+ | op1(e12,e11) = op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_21646,plain,+ ( op1(X0,X1) != e13+ | op1(e12,e11) = op1(X0,X1)+ | op1(e12,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_18141])).++cnf(c_21647,plain,+ ( op1(e12,e11) = op1(e12,e12)+ | op1(e12,e11) != e13+ | op1(e12,e12) != e13 ),+ inference(instantiation,[status(thm)],[c_21646])).++cnf(c_29884,plain,+ ( X0 != X1+ | op1(e11,e12) != X1+ | op1(e11,e12) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_30912,plain,+ ( X0 != e13+ | op1(e11,e12) = X0+ | op1(e11,e12) != e13 ),+ inference(instantiation,[status(thm)],[c_29884])).++cnf(c_31942,plain,+ ( op1(op1(e12,op1(e12,e12)),op1(e12,e12)) != e13+ | op1(e11,e12) = op1(op1(e12,op1(e12,e12)),op1(e12,e12))+ | op1(e11,e12) != e13 ),+ inference(instantiation,[status(thm)],[c_30912])).++cnf(c_35127,plain,+ ( op1(e10,e13) != e13+ | op1(e12,e13) = op1(e10,e13)+ | op1(e12,e13) != e13 ),+ inference(instantiation,[status(thm)],[c_30891])).++cnf(c_29538,plain,+ ( op1(e11,e10) != X0+ | op1(e11,e10) = op1(e11,e12)+ | op1(e11,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_36527,plain,+ ( op1(e11,e10) != op1(op1(e12,op1(e12,e12)),op1(e12,e12))+ | op1(e11,e10) = op1(e11,e12)+ | op1(e11,e12) != op1(op1(e12,op1(e12,e12)),op1(e12,e12)) ),+ inference(instantiation,[status(thm)],[c_29538])).++cnf(c_137988,plain,+ ( op1(e13,e11) = e13+ | op1(e13,e12) = e13+ | op1(e13,e13) = e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_17,c_254,c_253,c_252,c_139,c_17013,c_17224,c_18082,c_20243,c_23176,c_27674,c_47043])).++cnf(c_137998,plain,+ ( op1(e10,e12) = e13+ | op1(e13,e12) = e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_24,c_254,c_253,c_252,c_143,c_135,c_124,c_120,c_112,c_107,c_104,c_103,c_41,c_6,c_16539,c_16545,c_16561,c_17013,c_17196,c_18082,c_18140,c_18166,c_19077,c_19078,c_19289,c_20081,c_20144,c_20243,c_21647,c_23126,c_23176,c_24872,c_27674,c_31892,c_31942,c_32502,c_35127,c_36527,c_47043,c_137971,c_137988])).++cnf(c_138614,plain,+ ( X0 != X1+ | op1(e10,e12) != X1+ | op1(e10,e12) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_154203,plain,+ ( X0 != e13+ | op1(e10,e12) = X0+ | op1(e10,e12) != e13 ),+ inference(instantiation,[status(thm)],[c_138614])).++cnf(c_165517,plain,+ ( op1(e10,e12) = op1(e12,e11)+ | op1(e10,e12) != e13+ | op1(e12,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_154203])).++cnf(c_18,plain,+ ( op1(e10,e13) = e12+ | op1(e11,e13) = e12+ | op1(e12,e13) = e12+ | op1(e13,e13) = e12 ),+ inference(cnf_transformation,[],[f105])).++cnf(c_27669,plain,+ ( op1(e10,e12) != e13+ | e13 = op1(e10,e12)+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_19596])).++cnf(c_17070,plain,+ ( X0 != X1+ | op1(e10,e12) != X1+ | op1(e10,e12) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_22792,plain,+ ( X0 != e13+ | op1(e10,e12) = X0+ | op1(e10,e12) != e13 ),+ inference(instantiation,[status(thm)],[c_17070])).++cnf(c_29501,plain,+ ( op1(e10,e12) = op1(e12,e11)+ | op1(e10,e12) != e13+ | op1(e12,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_22792])).++cnf(c_60218,plain,+ ( op1(e12,e11) != X0+ | op1(e12,e13) != X0+ | op1(e12,e13) = op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_60219,plain,+ ( op1(e12,e11) != e12+ | op1(e12,e13) = op1(e12,e11)+ | op1(e12,e13) != e12 ),+ inference(instantiation,[status(thm)],[c_60218])).++cnf(c_60756,plain,+ ( op1(e12,e13) = op1(X0,X1)+ | e12 != X0+ | e13 != X1 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_63778,plain,+ ( op1(e12,e13) = op1(X0,op1(e10,e12))+ | e12 != X0+ | e13 != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_60756])).++cnf(c_63779,plain,+ ( op1(e12,e13) = op1(e12,op1(e10,e12))+ | e12 != e12+ | e13 != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_63778])).++cnf(c_144400,plain,+ ( X0 != X1+ | X0 = op1(X2,X3)+ | op1(X2,X3) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_148888,plain,+ ( X0 = op1(e12,op1(e10,e12))+ | X0 != e12+ | op1(e12,op1(e10,e12)) != e12 ),+ inference(instantiation,[status(thm)],[c_144400])).++cnf(c_229,plain,+ ( ~ sP0+ | op1(e12,op1(e10,e12)) = e12 ),+ inference(cnf_transformation,[],[f290])).++cnf(c_221,plain,+ ( ~ sP2+ | op1(e12,op1(e12,e12)) = e12 ),+ inference(cnf_transformation,[],[f282])).++cnf(c_194,plain,+ ( e11 != e12 ),+ inference(cnf_transformation,[],[f255])).++cnf(c_16741,plain,+ ( e11 != X0+ | e11 = e12+ | e12 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_23181,plain,+ ( e11 != op1(e12,op1(e12,e12))+ | e11 = e12+ | e12 != op1(e12,op1(e12,e12)) ),+ inference(instantiation,[status(thm)],[c_16741])).++cnf(c_65133,plain,+ ( X0 != X1+ | X0 = op1(X2,X3)+ | op1(X2,X3) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_128149,plain,+ ( X0 = op1(e12,op1(e10,e12))+ | X0 != e12+ | op1(e12,op1(e10,e12)) != e12 ),+ inference(instantiation,[status(thm)],[c_65133])).++cnf(c_232,plain,+ ( sP0+ | sP1+ | sP2+ | op1(e13,op1(e13,e13)) = e13 ),+ inference(cnf_transformation,[],[f295])).++cnf(c_235,plain,+ ( sP0+ | sP1+ | sP2+ | e10 = op1(e10,op1(e13,e10)) ),+ inference(cnf_transformation,[],[f292])).++cnf(c_234,plain,+ ( sP0+ | sP1+ | sP2+ | op1(e11,op1(e13,e11)) = e11 ),+ inference(cnf_transformation,[],[f293])).++cnf(c_196,plain,+ ( e10 != e12 ),+ inference(cnf_transformation,[],[f253])).++cnf(c_140,plain,+ ( op1(e11,e10) != op1(e12,e10) ),+ inference(cnf_transformation,[],[f159])).++cnf(c_126,plain,+ ( op1(e12,e12) != op1(e13,e12) ),+ inference(cnf_transformation,[],[f173])).++cnf(c_23,plain,+ ( e10 = op1(e13,e10)+ | e10 = op1(e13,e11)+ | e10 = op1(e13,e12)+ | e10 = op1(e13,e13) ),+ inference(cnf_transformation,[],[f100])).++cnf(c_16958,plain,+ ( op1(e13,e12) = op1(e13,e12) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17146,plain,+ ( e10 = e10 ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_16743,plain,+ ( e10 != X0+ | e10 = e12+ | e12 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17316,plain,+ ( e10 != op1(e10,op1(e13,e10))+ | e10 = e12+ | e12 != op1(e10,op1(e13,e10)) ),+ inference(instantiation,[status(thm)],[c_16743])).++cnf(c_17684,plain,+ ( op1(e10,e10) != X0+ | e12 != X0+ | e12 = op1(e10,e10) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17685,plain,+ ( op1(e10,e10) != e12+ | e12 = op1(e10,e10)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_17684])).++cnf(c_18107,plain,+ ( op1(e13,e10) = op1(e13,e10) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_19311,plain,+ ( e10 != op1(e13,e10)+ | e10 = e12+ | e12 != op1(e13,e10) ),+ inference(instantiation,[status(thm)],[c_16743])).++cnf(c_16959,plain,+ ( X0 != X1+ | op1(e13,e12) != X1+ | op1(e13,e12) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18075,plain,+ ( X0 != op1(e13,e12)+ | op1(e13,e12) = X0+ | op1(e13,e12) != op1(e13,e12) ),+ inference(instantiation,[status(thm)],[c_16959])).++cnf(c_20396,plain,+ ( op1(e13,e12) != op1(e13,e12)+ | op1(e13,e12) = e10+ | e10 != op1(e13,e12) ),+ inference(instantiation,[status(thm)],[c_18075])).++cnf(c_18261,plain,+ ( op1(e11,e10) = op1(X0,op1(e13,e11))+ | e10 != op1(e13,e11)+ | e11 != X0 ),+ inference(instantiation,[status(thm)],[c_17050])).++cnf(c_20440,plain,+ ( op1(e11,e10) = op1(e11,op1(e13,e11))+ | e10 != op1(e13,e11)+ | e11 != e11 ),+ inference(instantiation,[status(thm)],[c_18261])).++cnf(c_17007,plain,+ ( X0 != X1+ | op1(e12,e10) != X1+ | op1(e12,e10) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18688,plain,+ ( X0 != e11+ | op1(e12,e10) = X0+ | op1(e12,e10) != e11 ),+ inference(instantiation,[status(thm)],[c_17007])).++cnf(c_21221,plain,+ ( op1(e11,op1(e13,e11)) != e11+ | op1(e12,e10) = op1(e11,op1(e13,e11))+ | op1(e12,e10) != e11 ),+ inference(instantiation,[status(thm)],[c_18688])).++cnf(c_16606,plain,+ ( op1(e12,e12) != X0+ | op1(e12,e12) = op1(e13,e12)+ | op1(e13,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_23125,plain,+ ( op1(e12,e12) = op1(e13,e12)+ | op1(e12,e12) != e10+ | op1(e13,e12) != e10 ),+ inference(instantiation,[status(thm)],[c_16606])).++cnf(c_27673,plain,+ ( op1(e13,op1(e13,e13)) != e13+ | e13 = op1(e13,op1(e13,e13))+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_19596])).++cnf(c_18820,plain,+ ( X0 != X1+ | op1(e13,e10) != X1+ | op1(e13,e10) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_21504,plain,+ ( X0 != op1(e13,e10)+ | op1(e13,e10) = X0+ | op1(e13,e10) != op1(e13,e10) ),+ inference(instantiation,[status(thm)],[c_18820])).++cnf(c_29185,plain,+ ( op1(e13,e10) != op1(e13,e10)+ | op1(e13,e10) = e10+ | e10 != op1(e13,e10) ),+ inference(instantiation,[status(thm)],[c_21504])).++cnf(c_31851,plain,+ ( X0 != X1+ | X0 = op1(e13,e10)+ | op1(e13,e10) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_31852,plain,+ ( op1(e13,e10) != e12+ | e12 = op1(e13,e10)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_31851])).++cnf(c_29831,plain,+ ( op1(e13,e10) = op1(X0,X1)+ | e10 != X1+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_30849,plain,+ ( op1(e13,e10) = op1(X0,op1(e13,e13))+ | e10 != op1(e13,e13)+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_29831])).++cnf(c_31860,plain,+ ( op1(e13,e10) = op1(e13,op1(e13,e13))+ | e10 != op1(e13,e13)+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_30849])).++cnf(c_32374,plain,+ ( X0 != e10+ | X1 != e10+ | op1(X0,X1) = op1(e10,e10) ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_35950,plain,+ ( X0 != e10+ | op1(e10,X0) = op1(e10,e10)+ | e10 != e10 ),+ inference(instantiation,[status(thm)],[c_32374])).++cnf(c_49848,plain,+ ( op1(e10,op1(e13,e10)) = op1(e10,e10)+ | op1(e13,e10) != e10+ | e10 != e10 ),+ inference(instantiation,[status(thm)],[c_35950])).++cnf(c_60210,plain,+ ( op1(e13,e10) != X0+ | op1(e13,e10) = e13+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_62414,plain,+ ( op1(e13,e10) != op1(e13,op1(e13,e13))+ | op1(e13,e10) = e13+ | e13 != op1(e13,op1(e13,e13)) ),+ inference(instantiation,[status(thm)],[c_60210])).++cnf(c_59509,plain,+ ( op1(e11,e10) != X0+ | op1(e11,e10) = op1(e12,e10)+ | op1(e12,e10) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_66850,plain,+ ( op1(e11,e10) != op1(e11,op1(e13,e11))+ | op1(e11,e10) = op1(e12,e10)+ | op1(e12,e10) != op1(e11,op1(e13,e11)) ),+ inference(instantiation,[status(thm)],[c_59509])).++cnf(c_62845,plain,+ ( X0 != X1+ | X0 = op1(e10,op1(e13,e10))+ | op1(e10,op1(e13,e10)) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_133462,plain,+ ( X0 = op1(e10,op1(e13,e10))+ | X0 != op1(e10,e10)+ | op1(e10,op1(e13,e10)) != op1(e10,e10) ),+ inference(instantiation,[status(thm)],[c_62845])).++cnf(c_133487,plain,+ ( op1(e10,op1(e13,e10)) != op1(e10,e10)+ | e12 = op1(e10,op1(e13,e10))+ | e12 != op1(e10,e10) ),+ inference(instantiation,[status(thm)],[c_133462])).++cnf(c_42,plain,+ ( op1(e10,e10) = e12+ | op1(e11,e10) = e12+ | op1(e12,e10) = e12+ | op1(e13,e10) = e12 ),+ inference(cnf_transformation,[],[f81])).++cnf(c_192,plain,+ ( e12 != e13 ),+ inference(cnf_transformation,[],[f257])).++cnf(c_20112,plain,+ ( X0 != X1+ | X0 = op1(e12,e10)+ | op1(e12,e10) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_20113,plain,+ ( op1(e12,e10) != e12+ | e12 = op1(e12,e10)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_20112])).++cnf(c_20238,plain,+ ( op1(e12,e10) != e11+ | e11 = op1(e12,e10)+ | e11 != e11 ),+ inference(instantiation,[status(thm)],[c_18197])).++cnf(c_27668,plain,+ ( op1(e11,e10) != e13+ | e13 = op1(e11,e10)+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_19596])).++cnf(c_30492,plain,+ ( op1(e11,e10) != X0+ | e12 != X0+ | e12 = op1(e11,e10) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_30493,plain,+ ( op1(e11,e10) != e12+ | e12 = op1(e11,e10)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_30492])).++cnf(c_29620,plain,+ ( e11 != X0+ | e11 = e12+ | e12 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_36462,plain,+ ( e11 != op1(e12,e10)+ | e11 = e12+ | e12 != op1(e12,e10) ),+ inference(instantiation,[status(thm)],[c_29620])).++cnf(c_59561,plain,+ ( e12 != X0+ | e12 = e13+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_62391,plain,+ ( e12 != op1(e11,e10)+ | e12 = e13+ | e13 != op1(e11,e10) ),+ inference(instantiation,[status(thm)],[c_59561])).++cnf(c_138028,plain,+ ( op1(e10,e10) = e12+ | op1(e13,e10) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_42,c_254,c_253,c_252,c_194,c_192,c_16545,c_17013,c_18082,c_18166,c_20113,c_20238,c_20243,c_23176,c_27668,c_27674,c_30493,c_32730,c_36462,c_47043,c_62391])).++cnf(c_138112,plain,+ ( sP2+ | sP1+ | sP0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_232,c_254,c_253,c_252,c_235,c_234,c_196,c_140,c_139,c_126,c_23,c_16539,c_16545,c_16958,c_17013,c_17146,c_17224,c_17316,c_17685,c_18082,c_18107,c_18166,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23125,c_23176,c_27673,c_27674,c_29185,c_31852,c_31860,c_32730,c_47043,c_49848,c_62414,c_66850,c_133487,c_138028])).++cnf(c_138113,plain,+ ( sP0+ | sP1+ | sP2 ),+ inference(renaming,[status(thm)],[c_138112])).++cnf(c_144211,plain,+ ( X0 != X1+ | X0 = op1(X2,op1(e12,e12))+ | op1(X2,op1(e12,e12)) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_144212,plain,+ ( op1(e12,op1(e12,e12)) != e12+ | e12 = op1(e12,op1(e12,e12))+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_144211])).++cnf(c_224,plain,+ ( ~ sP1+ | op1(e13,op1(e11,e13)) = e13 ),+ inference(cnf_transformation,[],[f287])).++cnf(c_226,plain,+ ( ~ sP1+ | op1(e11,op1(e11,e11)) = e11 ),+ inference(cnf_transformation,[],[f285])).++cnf(c_195,plain,+ ( e10 != e13 ),+ inference(cnf_transformation,[],[f254])).++cnf(c_128,plain,+ ( op1(e11,e12) != op1(e12,e12) ),+ inference(cnf_transformation,[],[f171])).++cnf(c_39,plain,+ ( e10 = op1(e11,e10)+ | e10 = op1(e11,e11)+ | e10 = op1(e11,e12)+ | e10 = op1(e11,e13) ),+ inference(cnf_transformation,[],[f84])).++cnf(c_16742,plain,+ ( e10 != X0+ | e10 = e13+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17467,plain,+ ( e10 != op1(e11,e10)+ | e10 = e13+ | e13 != op1(e11,e10) ),+ inference(instantiation,[status(thm)],[c_16742])).++cnf(c_18206,plain,+ ( op1(e11,e12) = op1(e11,e12) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_23054,plain,+ ( op1(e11,op1(e11,e11)) != e11+ | op1(e12,e10) = op1(e11,op1(e11,e11))+ | op1(e12,e10) != e11 ),+ inference(instantiation,[status(thm)],[c_18688])).++cnf(c_16610,plain,+ ( op1(e11,e12) != X0+ | op1(e11,e12) = op1(e12,e12)+ | op1(e12,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_23124,plain,+ ( op1(e11,e12) = op1(e12,e12)+ | op1(e11,e12) != e10+ | op1(e12,e12) != e10 ),+ inference(instantiation,[status(thm)],[c_16610])).++cnf(c_18268,plain,+ ( op1(e11,e10) = op1(X0,op1(e11,e11))+ | e10 != op1(e11,e11)+ | e11 != X0 ),+ inference(instantiation,[status(thm)],[c_17050])).++cnf(c_27071,plain,+ ( op1(e11,e10) = op1(e11,op1(e11,e11))+ | e10 != op1(e11,e11)+ | e11 != e11 ),+ inference(instantiation,[status(thm)],[c_18268])).++cnf(c_18762,plain,+ ( X0 != X1+ | op1(e11,e12) != X1+ | op1(e11,e12) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_21310,plain,+ ( X0 != op1(e11,e12)+ | op1(e11,e12) = X0+ | op1(e11,e12) != op1(e11,e12) ),+ inference(instantiation,[status(thm)],[c_18762])).++cnf(c_29140,plain,+ ( op1(e11,e12) != op1(e11,e12)+ | op1(e11,e12) = e10+ | e10 != op1(e11,e12) ),+ inference(instantiation,[status(thm)],[c_21310])).++cnf(c_29566,plain,+ ( op1(e11,e10) != X0+ | op1(e11,e10) = op1(e12,e10)+ | op1(e12,e10) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_45564,plain,+ ( op1(e11,e10) != op1(e11,op1(e11,e11))+ | op1(e11,e10) = op1(e12,e10)+ | op1(e12,e10) != op1(e11,op1(e11,e11)) ),+ inference(instantiation,[status(thm)],[c_29566])).++cnf(c_59839,plain,+ ( X0 != X1+ | op1(e11,e10) != X1+ | op1(e11,e10) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_60827,plain,+ ( X0 != e13+ | op1(e11,e10) = X0+ | op1(e11,e10) != e13 ),+ inference(instantiation,[status(thm)],[c_59839])).++cnf(c_72084,plain,+ ( op1(e11,e10) = op1(e13,op1(e11,e13))+ | op1(e11,e10) != e13+ | op1(e13,op1(e11,e13)) != e13 ),+ inference(instantiation,[status(thm)],[c_60827])).++cnf(c_60744,plain,+ ( op1(e13,e10) = op1(X0,X1)+ | e10 != X1+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_63762,plain,+ ( op1(e13,e10) = op1(X0,op1(e11,e13))+ | e10 != op1(e11,e13)+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_60744])).++cnf(c_137595,plain,+ ( op1(e13,e10) = op1(e13,op1(e11,e13))+ | e10 != op1(e11,e13)+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_63762])).++cnf(c_138193,plain,+ ( op1(e11,e10) != X0+ | op1(e11,e10) = op1(e13,e10)+ | op1(e13,e10) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138834,plain,+ ( op1(e11,e10) != X0+ | op1(e13,e10) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138193,c_139,c_16632])).++cnf(c_142352,plain,+ ( op1(e11,e10) != op1(e13,op1(e11,e13))+ | op1(e13,e10) != op1(e13,op1(e11,e13)) ),+ inference(instantiation,[status(thm)],[c_138834])).++cnf(c_145575,plain,+ ( ~ sP1 ),+ inference(global_propositional_subsumption,[status(thm)],[c_224,c_254,c_253,c_252,c_226,c_195,c_140,c_128,c_39,c_16539,c_16545,c_17013,c_17467,c_18082,c_18166,c_18206,c_20081,c_20243,c_23054,c_23124,c_23176,c_27071,c_27668,c_27674,c_29140,c_32730,c_45564,c_47043,c_72084,c_137595,c_142352])).++cnf(c_174270,plain,+ ( X0 != e12+ | X0 = op1(e12,op1(e10,e12)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_148888,c_254,c_253,c_252,c_229,c_226,c_224,c_221,c_195,c_194,c_140,c_128,c_39,c_16539,c_16545,c_17013,c_17467,c_18082,c_18166,c_18206,c_20081,c_20243,c_23054,c_23124,c_23181,c_23176,c_27071,c_27668,c_27674,c_29140,c_32730,c_45564,c_47043,c_72084,c_128149,c_137595,c_138113,c_142352,c_144212])).++cnf(c_174271,plain,+ ( X0 = op1(e12,op1(e10,e12))+ | X0 != e12 ),+ inference(renaming,[status(thm)],[c_174270])).++cnf(c_174273,plain,+ ( op1(e13,e13) = op1(e12,op1(e10,e12))+ | op1(e13,e13) != e12 ),+ inference(instantiation,[status(thm)],[c_174271])).++cnf(c_138174,plain,+ ( op1(e12,e13) != X0+ | op1(e12,e13) = op1(e13,e13)+ | op1(e13,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138659,plain,+ ( op1(e12,e13) != X0+ | op1(e13,e13) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138174,c_120,c_16594])).++cnf(c_174274,plain,+ ( op1(e12,e13) != op1(e12,op1(e10,e12))+ | op1(e13,e13) != op1(e12,op1(e10,e12)) ),+ inference(instantiation,[status(thm)],[c_138659])).++cnf(c_174301,plain,+ ( op1(e11,e13) = op1(e12,op1(e10,e12))+ | op1(e11,e13) != e12 ),+ inference(instantiation,[status(thm)],[c_174271])).++cnf(c_138176,plain,+ ( op1(e11,e13) != X0+ | op1(e11,e13) = op1(e12,e13)+ | op1(e12,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_122,plain,+ ( op1(e11,e13) != op1(e12,e13) ),+ inference(cnf_transformation,[],[f177])).++cnf(c_16598,plain,+ ( op1(e11,e13) != X0+ | op1(e11,e13) = op1(e12,e13)+ | op1(e12,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138675,plain,+ ( op1(e11,e13) != X0+ | op1(e12,e13) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138176,c_122,c_16598])).++cnf(c_174303,plain,+ ( op1(e11,e13) != op1(e12,op1(e10,e12))+ | op1(e12,e13) != op1(e12,op1(e10,e12)) ),+ inference(instantiation,[status(thm)],[c_138675])).++cnf(c_174318,plain,+ ( op1(e10,e13) = op1(e12,op1(e10,e12))+ | op1(e10,e13) != e12 ),+ inference(instantiation,[status(thm)],[c_174271])).++cnf(c_138178,plain,+ ( op1(e10,e13) != X0+ | op1(e10,e13) = op1(e12,e13)+ | op1(e12,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138692,plain,+ ( op1(e10,e13) != X0+ | op1(e12,e13) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138178,c_124,c_16602])).++cnf(c_174320,plain,+ ( op1(e10,e13) != op1(e12,op1(e10,e12))+ | op1(e12,e13) != op1(e12,op1(e10,e12)) ),+ inference(instantiation,[status(thm)],[c_138692])).++cnf(c_178051,plain,+ ( op1(e10,e12) != e13+ | op1(e10,e12) = op1(e12,e11) ),+ inference(global_propositional_subsumption,[status(thm)],[c_165517,c_254,c_253,c_252,c_228,c_226,c_224,c_221,c_195,c_194,c_140,c_139,c_128,c_124,c_118,c_114,c_107,c_104,c_103,c_39,c_18,c_12,c_6,c_16539,c_16545,c_16591,c_17013,c_17067,c_17224,c_17467,c_18082,c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,c_20081,c_20144,c_20243,c_23054,c_23126,c_23124,c_23181,c_23176,c_27071,c_27668,c_27669,c_27672,c_27674,c_29140,c_29228,c_29501,c_31892,c_32502,c_32730,c_35127,c_45564,c_47043,c_60219,c_63779,c_72084,c_75243,c_137595,c_137971,c_138028,c_138113,c_142352,c_144212,c_154196,c_157387,c_157416,c_157419,c_174273,c_174274,c_174301,c_174303,c_174318,c_174321,c_174320])).++cnf(c_178052,plain,+ ( op1(e10,e12) = op1(e12,e11)+ | op1(e10,e12) != e13 ),+ inference(renaming,[status(thm)],[c_178051])).++cnf(c_225070,plain,+ ( op1(e13,e12) = e13+ | op1(e13,e13) = e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_17,c_254,c_253,c_252,c_192,c_143,c_135,c_132,c_124,c_120,c_112,c_107,c_104,c_103,c_98,c_41,c_24,c_6,c_16539,c_16545,c_16561,c_17013,c_17196,c_17677,c_18082,c_18140,c_18166,c_19077,c_19078,c_19289,c_20081,c_20144,c_20243,c_21647,c_22973,c_23126,c_23176,c_24872,c_27669,c_27674,c_30290,c_31892,c_31942,c_32502,c_34860,c_35127,c_36527,c_47043,c_62404,c_76700,c_137971,c_137988,c_178052])).++cnf(c_225096,plain,+ ( op1(e12,e11) = e13+ | op1(e10,e11) = e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_32,c_254,c_253,c_252,c_192,c_143,c_135,c_132,c_124,c_120,c_113,c_112,c_107,c_104,c_103,c_98,c_41,c_24,c_6,c_16539,c_16545,c_16561,c_17013,c_17059,c_17196,c_17677,c_18082,c_18140,c_18166,c_19077,c_19078,c_19289,c_20081,c_20144,c_20243,c_21647,c_22973,c_23126,c_23176,c_24872,c_27669,c_27674,c_30290,c_31892,c_31942,c_32502,c_34860,c_35127,c_36527,c_47043,c_62404,c_76700,c_137971,c_137988,c_178052])).++cnf(c_225097,plain,+ ( op1(e10,e11) = e13+ | op1(e12,e11) = e13 ),+ inference(renaming,[status(thm)],[c_225096])).++cnf(c_226829,plain,+ ( op1(X0,X1) != X2+ | op1(e12,e13) != X2+ | op1(e12,e13) = op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_232211,plain,+ ( op1(e12,e13) = op1(e12,e13)+ | op1(e12,e13) != e12 ),+ inference(instantiation,[status(thm)],[c_226829])).++cnf(c_228,plain,+ ( ~ sP0+ | op1(e13,op1(e10,e13)) = e13 ),+ inference(cnf_transformation,[],[f291])).++cnf(c_123,plain,+ ( op1(e10,e13) != op1(e13,e13) ),+ inference(cnf_transformation,[],[f176])).++cnf(c_12,plain,+ ( op1(e10,e13) = e11+ | op1(e10,e13) = e12+ | op1(e10,e13) = e13+ | e10 = op1(e10,e13) ),+ inference(cnf_transformation,[],[f63])).++cnf(c_16603,plain,+ ( op1(e10,e13) = op1(e12,e13)+ | op1(e10,e13) != e12+ | op1(e12,e13) != e12 ),+ inference(instantiation,[status(thm)],[c_16602])).++cnf(c_17672,plain,+ ( op1(e12,e13) != X0+ | e12 != X0+ | e12 = op1(e12,e13) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17673,plain,+ ( op1(e12,e13) != e12+ | e12 = op1(e12,e13)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_17672])).++cnf(c_27672,plain,+ ( op1(e13,op1(e10,e13)) != e13+ | e13 = op1(e13,op1(e10,e13))+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_19596])).++cnf(c_18894,plain,+ ( X0 != X1+ | op1(e12,e11) != X1+ | op1(e12,e11) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_21568,plain,+ ( X0 != e13+ | op1(e12,e11) = X0+ | op1(e12,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_18894])).++cnf(c_29157,plain,+ ( op1(e12,e11) = op1(e13,op1(e10,e13))+ | op1(e12,e11) != e13+ | op1(e13,op1(e10,e13)) != e13 ),+ inference(instantiation,[status(thm)],[c_21568])).++cnf(c_18110,plain,+ ( op1(e13,e10) = op1(X0,X1)+ | e10 != X1+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_21534,plain,+ ( op1(e13,e10) = op1(X0,op1(e10,e13))+ | e10 != op1(e10,e13)+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_18110])).++cnf(c_29228,plain,+ ( op1(e13,e10) = op1(e13,op1(e10,e13))+ | e10 != op1(e10,e13)+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_21534])).++cnf(c_29871,plain,+ ( X0 != X1+ | e13 != X1+ | e13 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_31610,plain,+ ( X0 != e13+ | e13 = X0+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_29871])).++cnf(c_33701,plain,+ ( op1(e12,e13) != e13+ | e13 = op1(e12,e13)+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_31610])).++cnf(c_59492,plain,+ ( op1(e10,e13) != X0+ | op1(e10,e13) = op1(e13,e13)+ | op1(e13,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_59901,plain,+ ( op1(e10,e13) != op1(e10,e13)+ | op1(e10,e13) = op1(e13,e13)+ | op1(e13,e13) != op1(e10,e13) ),+ inference(instantiation,[status(thm)],[c_59492])).++cnf(c_59768,plain,+ ( X0 != X1+ | op1(e13,e13) != X1+ | op1(e13,e13) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_60735,plain,+ ( X0 != e13+ | op1(e13,e13) = X0+ | op1(e13,e13) != e13 ),+ inference(instantiation,[status(thm)],[c_59768])).++cnf(c_65980,plain,+ ( op1(e10,e13) != e13+ | op1(e13,e13) = op1(e10,e13)+ | op1(e13,e13) != e13 ),+ inference(instantiation,[status(thm)],[c_60735])).++cnf(c_75216,plain,+ ( op1(e12,e11) != op1(e13,op1(e10,e13))+ | op1(e12,e11) = op1(e13,e11)+ | op1(e13,e11) != op1(e13,op1(e10,e13)) ),+ inference(instantiation,[status(thm)],[c_59501])).++cnf(c_75243,plain,+ ( op1(e13,e10) != op1(e13,op1(e10,e13))+ | op1(e13,e10) = e13+ | e13 != op1(e13,op1(e10,e13)) ),+ inference(instantiation,[status(thm)],[c_60210])).++cnf(c_138560,plain,+ ( X0 != X1+ | e11 != X1+ | e11 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139907,plain,+ ( X0 != e11+ | e11 = X0+ | e11 != e11 ),+ inference(instantiation,[status(thm)],[c_138560])).++cnf(c_141134,plain,+ ( e11 = X0+ | X0 != e11 ),+ inference(global_propositional_subsumption,[status(thm)],[c_139907,c_17013,c_18197])).++cnf(c_141135,plain,+ ( X0 != e11+ | e11 = X0 ),+ inference(renaming,[status(thm)],[c_141134])).++cnf(c_154058,plain,+ ( op1(e10,e13) != e11+ | e11 = op1(e10,e13) ),+ inference(instantiation,[status(thm)],[c_141135])).++cnf(c_138246,plain,+ ( e12 != X0+ | e12 = e13+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16738,plain,+ ( e12 != X0+ | e12 = e13+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138551,plain,+ ( e12 != X0+ | e13 != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138246,c_192,c_16738])).++cnf(c_162431,plain,+ ( e12 != op1(e12,e13)+ | e13 != op1(e12,e13) ),+ inference(instantiation,[status(thm)],[c_138551])).++cnf(c_16,plain,+ ( op1(e10,e13) = e13+ | op1(e11,e13) = e13+ | op1(e12,e13) = e13+ | op1(e13,e13) = e13 ),+ inference(cnf_transformation,[],[f107])).++cnf(c_129,plain,+ ( op1(e10,e12) != op1(e13,e12) ),+ inference(cnf_transformation,[],[f170])).++cnf(c_34854,plain,+ ( op1(e12,e11) != e13+ | op1(e13,e12) = op1(e12,e11)+ | op1(e13,e12) != e13 ),+ inference(instantiation,[status(thm)],[c_30818])).++cnf(c_59498,plain,+ ( op1(e10,e12) != X0+ | op1(e10,e12) = op1(e13,e12)+ | op1(e13,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_67232,plain,+ ( op1(e10,e12) != op1(e12,e11)+ | op1(e10,e12) = op1(e13,e12)+ | op1(e13,e12) != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_59498])).++cnf(c_140034,plain,+ ( X0 != op1(e10,e12)+ | op1(e10,e12) = X0+ | op1(e10,e12) != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_138614])).++cnf(c_17069,plain,+ ( op1(e10,e12) = op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_18283,plain,+ ( X0 != op1(e10,e12)+ | op1(e10,e12) = X0+ | op1(e10,e12) != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_17070])).++cnf(c_141413,plain,+ ( op1(e10,e12) = X0+ | X0 != op1(e10,e12) ),+ inference(global_propositional_subsumption,[status(thm)],[c_140034,c_17069,c_18283])).++cnf(c_141414,plain,+ ( X0 != op1(e10,e12)+ | op1(e10,e12) = X0 ),+ inference(renaming,[status(thm)],[c_141413])).++cnf(c_141418,plain,+ ( op1(X0,X1) != op1(e10,e12)+ | op1(e10,e12) = op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_141414])).++cnf(c_167167,plain,+ ( op1(e10,e12) = op1(e12,e11)+ | op1(e12,e11) != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_141418])).++cnf(c_225613,plain,+ ( X0 != X1+ | op1(e12,e11) != X1+ | op1(e12,e11) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_226840,plain,+ ( X0 != e13+ | op1(e12,e11) = X0+ | op1(e12,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_225613])).++cnf(c_227978,plain,+ ( op1(e10,e12) != e13+ | op1(e12,e11) = op1(e10,e12)+ | op1(e12,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_226840])).++cnf(c_96,plain,+ ( op1(e13,e12) != op1(e13,e13) ),+ inference(cnf_transformation,[],[f203])).++cnf(c_16546,plain,+ ( op1(e13,e12) != X0+ | op1(e13,e12) = op1(e13,e13)+ | op1(e13,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_24873,plain,+ ( op1(e13,e12) = op1(e13,e13)+ | op1(e13,e12) != e13+ | op1(e13,e13) != e13 ),+ inference(instantiation,[status(thm)],[c_16546])).++cnf(c_41629,plain,+ ( op1(e13,op1(e10,e13)) != e13+ | op1(e13,e12) = op1(e13,op1(e10,e13))+ | op1(e13,e12) != e13 ),+ inference(instantiation,[status(thm)],[c_30818])).++cnf(c_111,plain,+ ( op1(e11,e10) != op1(e11,e13) ),+ inference(cnf_transformation,[],[f188])).++cnf(c_16576,plain,+ ( op1(e11,e10) != X0+ | op1(e11,e10) = op1(e11,e13)+ | op1(e11,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17044,plain,+ ( op1(e11,e10) = op1(e11,e13)+ | op1(e11,e10) != e13+ | op1(e11,e13) != e13 ),+ inference(instantiation,[status(thm)],[c_16576])).++cnf(c_137986,plain,+ ( op1(e10,e13) = e13+ | op1(e12,e13) = e13+ | op1(e13,e13) = e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_16,c_254,c_253,c_252,c_111,c_17013,c_17044,c_18082,c_20243,c_23176,c_27674,c_47043])).++cnf(c_138555,plain,+ ( X0 != X1+ | e13 != X1+ | e13 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_140898,plain,+ ( X0 != e13+ | e13 = X0+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_138555])).++cnf(c_143269,plain,+ ( e13 = X0+ | X0 != e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_140898,c_18082,c_19596])).++cnf(c_143270,plain,+ ( X0 != e13+ | e13 = X0 ),+ inference(renaming,[status(thm)],[c_143269])).++cnf(c_143274,plain,+ ( op1(e10,e13) != e13+ | e13 = op1(e10,e13) ),+ inference(instantiation,[status(thm)],[c_143270])).++cnf(c_138474,plain,+ ( op1(e13,e13) = op1(X0,X1)+ | e13 != X0+ | e13 != X1 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_140895,plain,+ ( op1(e13,e13) = op1(e13,X0)+ | e13 != X0+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_138474])).++cnf(c_16978,plain,+ ( op1(e13,e13) = op1(X0,X1)+ | e13 != X0+ | e13 != X1 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_19592,plain,+ ( op1(e13,e13) = op1(e13,X0)+ | e13 != X0+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_16978])).++cnf(c_143264,plain,+ ( e13 != X0+ | op1(e13,e13) = op1(e13,X0) ),+ inference(global_propositional_subsumption,[status(thm)],[c_140895,c_18082,c_19592])).++cnf(c_143265,plain,+ ( op1(e13,e13) = op1(e13,X0)+ | e13 != X0 ),+ inference(renaming,[status(thm)],[c_143264])).++cnf(c_149725,plain,+ ( op1(e13,e13) = op1(e13,op1(e10,e13))+ | e13 != op1(e10,e13) ),+ inference(instantiation,[status(thm)],[c_143265])).++cnf(c_138505,plain,+ ( X0 != X1+ | op1(e12,e11) != X1+ | op1(e12,e11) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139950,plain,+ ( X0 != op1(e12,e11)+ | op1(e12,e11) = X0+ | op1(e12,e11) != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_138505])).++cnf(c_21574,plain,+ ( X0 != op1(e12,e11)+ | op1(e12,e11) = X0+ | op1(e12,e11) != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_18894])).++cnf(c_141190,plain,+ ( op1(e12,e11) = X0+ | X0 != op1(e12,e11) ),+ inference(global_propositional_subsumption,[status(thm)],[c_139950,c_18140,c_21574])).++cnf(c_141191,plain,+ ( X0 != op1(e12,e11)+ | op1(e12,e11) = X0 ),+ inference(renaming,[status(thm)],[c_141190])).++cnf(c_141195,plain,+ ( op1(X0,X1) != op1(e12,e11)+ | op1(e12,e11) = op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_141191])).++cnf(c_178081,plain,+ ( op1(e10,e12) != op1(e12,e11)+ | op1(e12,e11) = op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_141195])).++cnf(c_225270,plain,+ ( op1(e13,e12) != X0+ | op1(e13,e12) = op1(e13,e13)+ | op1(e13,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_225560,plain,+ ( op1(e13,e12) != X0+ | op1(e13,e13) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_225270,c_96,c_16546])).++cnf(c_225565,plain,+ ( op1(e13,e12) != op1(X0,X1)+ | op1(e13,e13) != op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_225560])).++cnf(c_229189,plain,+ ( op1(e13,e12) != op1(e13,op1(e10,e13))+ | op1(e13,e13) != op1(e13,op1(e10,e13)) ),+ inference(instantiation,[status(thm)],[c_225565])).++cnf(c_229277,plain,+ ( op1(e12,e11) = op1(e10,e12)+ | op1(e12,e11) != e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_227978,c_254,c_253,c_252,c_228,c_226,c_224,c_221,c_195,c_194,c_143,c_140,c_136,c_135,c_128,c_124,c_120,c_112,c_107,c_104,c_103,c_41,c_39,c_24,c_6,c_16539,c_16545,c_16561,c_17013,c_17196,c_17203,c_17467,c_18082,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_20081,c_20144,c_20243,c_21647,c_23054,c_23126,c_23124,c_23181,c_23176,c_24872,c_27071,c_27668,c_27674,c_29140,c_31892,c_31942,c_32502,c_32730,c_35127,c_36527,c_41629,c_45564,c_47043,c_67244,c_72084,c_137595,c_137971,c_137988,c_138026,c_138113,c_142352,c_143274,c_144212,c_149725,c_178052,c_229189])).++cnf(c_229618,plain,+ ( op1(e12,e13) = e13+ | op1(e13,e13) = e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_16,c_254,c_253,c_252,c_192,c_143,c_135,c_132,c_129,c_124,c_120,c_112,c_107,c_104,c_103,c_98,c_41,c_24,c_6,c_16539,c_16545,c_16561,c_17013,c_17196,c_17677,c_18082,c_18140,c_18166,c_19077,c_19078,c_19289,c_20081,c_20144,c_20243,c_21647,c_22973,c_23126,c_23176,c_24872,c_27669,c_27674,c_30290,c_31892,c_31942,c_32502,c_34854,c_34860,c_35127,c_36527,c_47043,c_62404,c_67232,c_76700,c_137971,c_137988,c_138000,c_167167,c_178052,c_229277])).++cnf(c_225573,plain,+ ( op1(e13,e11) = op1(X0,X1)+ | e11 != X1+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_227489,plain,+ ( op1(e13,e11) = op1(e13,X0)+ | e11 != X0+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_225573])).++cnf(c_231881,plain,+ ( e11 != X0+ | op1(e13,e11) = op1(e13,X0) ),+ inference(global_propositional_subsumption,[status(thm)],[c_227489,c_18082])).++cnf(c_231882,plain,+ ( op1(e13,e11) = op1(e13,X0)+ | e11 != X0 ),+ inference(renaming,[status(thm)],[c_231881])).++cnf(c_231889,plain,+ ( op1(e13,e11) = op1(e13,op1(e10,e13))+ | e11 != op1(e10,e13) ),+ inference(instantiation,[status(thm)],[c_231882])).++cnf(c_233334,plain,+ ( op1(e12,e13) != e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_232211,c_254,c_253,c_252,c_228,c_226,c_224,c_221,c_195,c_194,c_140,c_139,c_132,c_128,c_124,c_123,c_107,c_104,c_103,c_39,c_12,c_6,c_16539,c_16545,c_16603,c_17013,c_17224,c_17467,c_17673,c_18082,c_18139,c_18140,c_18166,c_18206,c_19078,c_20081,c_20144,c_20243,c_23054,c_23126,c_23124,c_23181,c_23176,c_27071,c_27668,c_27672,c_27674,c_29140,c_29157,c_29228,c_31892,c_32502,c_32730,c_33701,c_45564,c_47043,c_59901,c_60219,c_65980,c_72084,c_75216,c_75243,c_137595,c_138113,c_142352,c_144212,c_154058,c_162431,c_229618,c_231889])).++cnf(c_3023505,plain,+ ( op1(e10,e11) = e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_14,c_254,c_253,c_252,c_228,c_226,c_224,c_221,c_195,c_194,c_192,c_143,c_140,c_139,c_135,c_132,c_128,c_124,c_123,c_120,c_113,c_112,c_107,c_104,c_103,c_98,c_41,c_39,c_32,c_24,c_12,c_6,c_16539,c_16545,c_16561,c_16603,c_17013,c_17059,c_17196,c_17224,c_17467,c_17673,c_17677,c_18082,c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_20081,c_20144,c_20243,c_21647,c_22973,c_23054,c_23126,c_23124,c_23181,c_23176,c_24872,c_27071,c_27668,c_27669,c_27672,c_27674,c_29140,c_29157,c_29228,c_30290,c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,c_34859,c_35127,c_36527,c_45564,c_47043,c_59901,c_60219,c_62404,c_65980,c_72084,c_75216,c_75243,c_76700,c_137595,c_137971,c_137988,c_138113,c_142352,c_144212,c_154058,c_162431,c_178052,c_229618,c_231889])).++cnf(c_3023515,plain,+ ( e13 = op1(e10,e11) ),+ inference(resolution,[status(thm)],[c_3023505,c_3013688])).++cnf(c_3055877,plain,+ ( X0 != op1(e10,e11)+ | h3(X0) = h3(e13) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023515])).++cnf(c_3569233,plain,+ ( X0 != op1(e10,e11)+ | e23 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3567206,c_3055877])).++cnf(c_3917769,plain,+ ( e23 = h3(op1(e10,e11)) ),+ inference(resolution,[status(thm)],[c_3569233,c_16531])).++cnf(c_3917994,plain,+ ( h3(op1(e10,e11)) = e23 ),+ inference(resolution,[status(thm)],[c_3917769,c_3013688])).++cnf(c_3918026,plain,+ ( X0 != e23+ | h3(op1(e10,e11)) = X0 ),+ inference(resolution,[status(thm)],[c_3917994,c_16532])).++cnf(c_4069589,plain,+ ( X0 = h3(op1(e10,e11))+ | X0 != e23 ),+ inference(resolution,[status(thm)],[c_3918026,c_3013688])).++cnf(c_326,negated_conjecture,+ ( sP12+ | sP13+ | sP14+ | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))+ | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+ | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+ | e23 != h3(e13) ),+ inference(cnf_transformation,[],[f393])).++cnf(c_287,plain,+ ( ~ sP14+ | e22 != h3(e12) ),+ inference(cnf_transformation,[],[f348])).++cnf(c_269,plain,+ ( e22 = h3(e12) ),+ inference(cnf_transformation,[],[f326])).++cnf(c_360,plain,+ ( sP13+ | sP12+ | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))+ | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+ | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+ | e23 != h3(e13) ),+ inference(global_propositional_subsumption,[status(thm)],[c_326,c_287,c_269])).++cnf(c_361,plain,+ ( sP12+ | sP13+ | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))+ | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+ | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+ | e23 != h3(e13) ),+ inference(renaming,[status(thm)],[c_360])).++cnf(c_268,plain,+ ( op2(e22,e22) = h3(e10) ),+ inference(cnf_transformation,[],[f327])).++cnf(c_260,plain,+ ( op2(e20,e20) = h1(e10) ),+ inference(cnf_transformation,[],[f319])).++cnf(c_257,plain,+ ( e20 = op2(e22,e22) ),+ inference(cnf_transformation,[],[f315])).++cnf(c_231,plain,+ ( ~ sP0+ | e10 = op1(e10,op1(e10,e10)) ),+ inference(cnf_transformation,[],[f288])).++cnf(c_16905,plain,+ ( e23 = e23 ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17089,plain,+ ( op1(e10,e10) = op1(e10,e10) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_16906,plain,+ ( X0 != X1+ | e23 != X1+ | e23 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17391,plain,+ ( X0 != e23+ | e23 = X0+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_16906])).++cnf(c_18617,plain,+ ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != e23+ | e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_16783,plain,+ ( h3(e13) != X0+ | e23 != X0+ | e23 = h3(e13) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19143,plain,+ ( h3(e13) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | e23 = h3(e13) ),+ inference(instantiation,[status(thm)],[c_16783])).++cnf(c_17090,plain,+ ( X0 != X1+ | op1(e10,e10) != X1+ | op1(e10,e10) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18358,plain,+ ( X0 != op1(e10,e10)+ | op1(e10,e10) = X0+ | op1(e10,e10) != op1(e10,e10) ),+ inference(instantiation,[status(thm)],[c_17090])).++cnf(c_21699,plain,+ ( op1(e10,e10) != op1(e10,e10)+ | op1(e10,e10) = e10+ | e10 != op1(e10,e10) ),+ inference(instantiation,[status(thm)],[c_18358])).++cnf(c_23192,plain,+ ( h1(e10) = h1(e10) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_21712,plain,+ ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != X0+ | h3(e13) != X0+ | h3(e13) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_23529,plain,+ ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != h3(e13)+ | h3(e13) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | h3(e13) != h3(e13) ),+ inference(instantiation,[status(thm)],[c_21712])).++cnf(c_23530,plain,+ ( h3(e13) = h3(e13) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_31708,plain,+ ( h3(e10) = h3(X0)+ | e10 != X0 ),+ inference(instantiation,[status(thm)],[c_16537])).++cnf(c_35056,plain,+ ( h3(e10) = h3(op1(e10,e10))+ | e10 != op1(e10,e10) ),+ inference(instantiation,[status(thm)],[c_31708])).++cnf(c_29795,plain,+ ( op1(e10,e10) != X0+ | h3(op1(e10,e10)) = h3(X0) ),+ inference(instantiation,[status(thm)],[c_16537])).++cnf(c_45888,plain,+ ( op1(e10,e10) != e10+ | h3(op1(e10,e10)) = h3(e10) ),+ inference(instantiation,[status(thm)],[c_29795])).++cnf(c_29793,plain,+ ( X0 != X1+ | h3(op1(e10,e10)) != X1+ | h3(op1(e10,e10)) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_48181,plain,+ ( X0 != h3(e10)+ | h3(op1(e10,e10)) = X0+ | h3(op1(e10,e10)) != h3(e10) ),+ inference(instantiation,[status(thm)],[c_29793])).++cnf(c_56460,plain,+ ( op2(e22,e22) != h3(e10)+ | h3(op1(e10,e10)) = op2(e22,e22)+ | h3(op1(e10,e10)) != h3(e10) ),+ inference(instantiation,[status(thm)],[c_48181])).++cnf(c_40163,plain,+ ( X0 != X1+ | h1(e10) != X1+ | h1(e10) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_48613,plain,+ ( X0 != h1(e10)+ | h1(e10) = X0+ | h1(e10) != h1(e10) ),+ inference(instantiation,[status(thm)],[c_40163])).++cnf(c_59360,plain,+ ( op2(e20,e20) != h1(e10)+ | h1(e10) = op2(e20,e20)+ | h1(e10) != h1(e10) ),+ inference(instantiation,[status(thm)],[c_48613])).++cnf(c_60272,plain,+ ( X0 != X1+ | e20 != X1+ | e20 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_61394,plain,+ ( X0 != op2(e22,e22)+ | e20 = X0+ | e20 != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_60272])).++cnf(c_90448,plain,+ ( h3(op1(e10,e10)) != op2(e22,e22)+ | e20 != op2(e22,e22)+ | e20 = h3(op1(e10,e10)) ),+ inference(instantiation,[status(thm)],[c_61394])).++cnf(c_59735,plain,+ ( X0 != X1+ | h3(op1(e10,e10)) != X1+ | h3(op1(e10,e10)) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_90460,plain,+ ( X0 != op2(e22,e22)+ | h3(op1(e10,e10)) = X0+ | h3(op1(e10,e10)) != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_59735])).++cnf(c_97516,plain,+ ( h3(op1(e10,e10)) != op2(e22,e22)+ | h3(op1(e10,e10)) = e20+ | e20 != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_90460])).++cnf(c_61550,plain,+ ( X0 != X1+ | h3(e10) != X1+ | h3(e10) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_65902,plain,+ ( X0 != h3(op1(e10,e10))+ | h3(e10) = X0+ | h3(e10) != h3(op1(e10,e10)) ),+ inference(instantiation,[status(thm)],[c_61550])).++cnf(c_99935,plain,+ ( h3(e10) != h3(op1(e10,e10))+ | h3(e10) = e20+ | e20 != h3(op1(e10,e10)) ),+ inference(instantiation,[status(thm)],[c_65902])).++cnf(c_69838,plain,+ ( X0 != X1+ | h1(e10) != X1+ | h1(e10) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_101528,plain,+ ( X0 != op2(e20,e20)+ | h1(e10) = X0+ | h1(e10) != op2(e20,e20) ),+ inference(instantiation,[status(thm)],[c_69838])).++cnf(c_111680,plain,+ ( h1(e10) != op2(e20,e20)+ | h1(e10) = e20+ | e20 != op2(e20,e20) ),+ inference(instantiation,[status(thm)],[c_101528])).++cnf(c_16534,plain,+ ( X0 != X1+ | X2 != X3+ | op2(X0,X2) = op2(X1,X3) ),+ theory(equality)).++cnf(c_63528,plain,+ ( op2(e23,e23) = op2(X0,X1)+ | e23 != X0+ | e23 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_104137,plain,+ ( op2(e23,e23) = op2(h3(e13),X0)+ | e23 != X0+ | e23 != h3(e13) ),+ inference(instantiation,[status(thm)],[c_63528])).++cnf(c_111818,plain,+ ( op2(e23,e23) = op2(h3(e13),h3(e13))+ | e23 != h3(e13) ),+ inference(instantiation,[status(thm)],[c_104137])).++cnf(c_109707,plain,+ ( X0 != e20+ | h3(op1(e10,e10)) = X0+ | h3(op1(e10,e10)) != e20 ),+ inference(instantiation,[status(thm)],[c_59735])).++cnf(c_128684,plain,+ ( h3(op1(e10,e10)) = h1(e10)+ | h3(op1(e10,e10)) != e20+ | h1(e10) != e20 ),+ inference(instantiation,[status(thm)],[c_109707])).++cnf(c_59857,plain,+ ( X0 != X1+ | op1(e10,e12) != X1+ | op1(e10,e12) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_62921,plain,+ ( X0 != op1(e10,X1)+ | op1(e10,e12) = X0+ | op1(e10,e12) != op1(e10,X1) ),+ inference(instantiation,[status(thm)],[c_59857])).++cnf(c_133544,plain,+ ( op1(e10,e12) != op1(e10,op1(e10,e10))+ | op1(e10,e12) = e10+ | e10 != op1(e10,op1(e10,e10)) ),+ inference(instantiation,[status(thm)],[c_62921])).++cnf(c_15,plain,+ ( op1(e10,e10) = e11+ | op1(e10,e10) = e12+ | op1(e10,e10) = e13+ | e10 = op1(e10,e10) ),+ inference(cnf_transformation,[],[f60])).++cnf(c_142,plain,+ ( op1(e10,e10) != op1(e12,e10) ),+ inference(cnf_transformation,[],[f157])).++cnf(c_16638,plain,+ ( op1(e10,e10) != X0+ | op1(e10,e10) = op1(e12,e10)+ | op1(e12,e10) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17530,plain,+ ( op1(e10,e10) != op1(e10,e10)+ | op1(e10,e10) = op1(e12,e10)+ | op1(e12,e10) != op1(e10,e10) ),+ inference(instantiation,[status(thm)],[c_16638])).++cnf(c_24269,plain,+ ( op1(e10,e10) != e11+ | op1(e12,e10) = op1(e10,e10)+ | op1(e12,e10) != e11 ),+ inference(instantiation,[status(thm)],[c_18688])).++cnf(c_137984,plain,+ ( op1(e10,e10) = e12+ | e10 = op1(e10,e10) ),+ inference(global_propositional_subsumption,[status(thm)],[c_15,c_254,c_253,c_252,c_143,c_142,c_16545,c_17013,c_17089,c_17530,c_18082,c_18166,c_19289,c_20243,c_23176,c_24269,c_27674,c_32730,c_47043])).++cnf(c_63,plain,+ ( op2(e20,e20) = e21+ | op2(e20,e20) = e22+ | op2(e20,e20) = e23+ | e20 = op2(e20,e20) ),+ inference(cnf_transformation,[],[f108])).++cnf(c_256,plain,+ ( op2(e22,op2(e22,e22)) = e21 ),+ inference(cnf_transformation,[],[f316])).++cnf(c_203,plain,+ ( e20 != e21 ),+ inference(cnf_transformation,[],[f258])).++cnf(c_191,plain,+ ( op2(e20,e20) != op2(e21,e20) ),+ inference(cnf_transformation,[],[f204])).++cnf(c_190,plain,+ ( op2(e20,e20) != op2(e22,e20) ),+ inference(cnf_transformation,[],[f205])).++cnf(c_155,plain,+ ( op2(e22,e20) != op2(e22,e21) ),+ inference(cnf_transformation,[],[f240])).++cnf(c_153,plain,+ ( op2(e22,e20) != op2(e22,e23) ),+ inference(cnf_transformation,[],[f242])).++cnf(c_77,plain,+ ( op2(e22,e20) = e21+ | op2(e22,e21) = e21+ | op2(e22,e22) = e21+ | op2(e22,e23) = e21 ),+ inference(cnf_transformation,[],[f142])).++cnf(c_16660,plain,+ ( op2(e22,e20) != X0+ | op2(e22,e20) = op2(e22,e23)+ | op2(e22,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17349,plain,+ ( op2(e22,e20) != op2(e22,e20)+ | op2(e22,e20) = op2(e22,e23)+ | op2(e22,e23) != op2(e22,e20) ),+ inference(instantiation,[status(thm)],[c_16660])).++cnf(c_17350,plain,+ ( op2(e22,e20) = op2(e22,e20) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17427,plain,+ ( e22 = e22 ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17431,plain,+ ( e21 = e21 ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_16755,plain,+ ( e20 != X0+ | e20 = e21+ | e21 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17554,plain,+ ( e20 != op2(e22,e22)+ | e20 = e21+ | e21 != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_16755])).++cnf(c_17353,plain,+ ( op2(e22,e20) = op2(X0,X1)+ | e20 != X1+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_18512,plain,+ ( op2(e22,e20) = op2(X0,op2(e22,e22))+ | e20 != op2(e22,e22)+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_17353])).++cnf(c_21159,plain,+ ( op2(e22,e20) = op2(e22,op2(e22,e22))+ | e20 != op2(e22,e22)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_18512])).++cnf(c_17336,plain,+ ( X0 != X1+ | op2(e22,e21) != X1+ | op2(e22,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18960,plain,+ ( X0 != e21+ | op2(e22,e21) = X0+ | op2(e22,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_17336])).++cnf(c_21422,plain,+ ( op2(e22,op2(e22,e22)) != e21+ | op2(e22,e21) = op2(e22,op2(e22,e22))+ | op2(e22,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_18960])).++cnf(c_16734,plain,+ ( op2(e20,e20) != X0+ | op2(e20,e20) = op2(e22,e20)+ | op2(e22,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_22470,plain,+ ( op2(e20,e20) = op2(e22,e20)+ | op2(e20,e20) != e21+ | op2(e22,e20) != e21 ),+ inference(instantiation,[status(thm)],[c_16734])).++cnf(c_16664,plain,+ ( op2(e22,e20) != X0+ | op2(e22,e20) = op2(e22,e21)+ | op2(e22,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_26105,plain,+ ( op2(e22,e20) != op2(e22,op2(e22,e22))+ | op2(e22,e20) = op2(e22,e21)+ | op2(e22,e21) != op2(e22,op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_16664])).++cnf(c_17717,plain,+ ( op2(e22,e20) != X0+ | op2(e22,e23) != X0+ | op2(e22,e23) = op2(e22,e20) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_26103,plain,+ ( op2(e22,e20) != op2(e22,op2(e22,e22))+ | op2(e22,e23) != op2(e22,op2(e22,e22))+ | op2(e22,e23) = op2(e22,e20) ),+ inference(instantiation,[status(thm)],[c_17717])).++cnf(c_17432,plain,+ ( X0 != X1+ | e21 != X1+ | e21 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19525,plain,+ ( X0 != e21+ | e21 = X0+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_17432])).++cnf(c_26610,plain,+ ( op2(e22,op2(e22,e22)) != e21+ | e21 = op2(e22,op2(e22,e22))+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_19525])).++cnf(c_30578,plain,+ ( X0 != X1+ | op2(e20,e20) != X1+ | op2(e20,e20) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_31833,plain,+ ( X0 != e23+ | op2(e20,e20) = X0+ | op2(e20,e20) != e23 ),+ inference(instantiation,[status(thm)],[c_30578])).++cnf(c_33893,plain,+ ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != e23+ | op2(e20,e20) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | op2(e20,e20) != e23 ),+ inference(instantiation,[status(thm)],[c_31833])).++cnf(c_30606,plain,+ ( X0 != X1+ | op2(e22,e23) != X1+ | op2(e22,e23) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_32015,plain,+ ( X0 != e21+ | op2(e22,e23) = X0+ | op2(e22,e23) != e21 ),+ inference(instantiation,[status(thm)],[c_30606])).++cnf(c_34088,plain,+ ( op2(e22,op2(e22,e22)) != e21+ | op2(e22,e23) = op2(e22,op2(e22,e22))+ | op2(e22,e23) != e21 ),+ inference(instantiation,[status(thm)],[c_32015])).++cnf(c_30267,plain,+ ( X0 != X1+ | e21 != X1+ | e21 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_31484,plain,+ ( X0 != e21+ | e21 = X0+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_30267])).++cnf(c_36100,plain,+ ( op2(e22,e22) != e21+ | e21 = op2(e22,e22)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_31484])).++cnf(c_30199,plain,+ ( op2(e21,e20) = op2(X0,X1)+ | e20 != X1+ | e21 != X0 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_31178,plain,+ ( op2(e21,e20) = op2(X0,op2(e22,e22))+ | e20 != op2(e22,e22)+ | e21 != X0 ),+ inference(instantiation,[status(thm)],[c_30199])).++cnf(c_38580,plain,+ ( op2(e21,e20) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | e20 != op2(e22,e22)+ | e21 != op2(e22,op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_31178])).++cnf(c_29617,plain,+ ( op2(e20,e20) != X0+ | op2(e20,e20) = op2(e21,e20)+ | op2(e21,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_39778,plain,+ ( op2(e20,e20) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | op2(e20,e20) = op2(e21,e20)+ | op2(e21,e20) != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_29617])).++cnf(c_138058,plain,+ ( op2(e20,e20) = e22+ | e20 = op2(e20,e20) ),+ inference(global_propositional_subsumption,[status(thm)],[c_63,c_257,c_256,c_255,c_203,c_191,c_190,c_155,c_153,c_77,c_17349,c_17350,c_17427,c_17431,c_17554,c_21159,c_21422,c_22470,c_26105,c_26103,c_26610,c_33893,c_34088,c_36100,c_38580,c_39778])).++cnf(c_138616,plain,+ ( op1(e10,e12) = op1(X0,X1)+ | e10 != X0+ | e12 != X1 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_140056,plain,+ ( op1(e10,e12) = op1(e10,X0)+ | e10 != e10+ | e12 != X0 ),+ inference(instantiation,[status(thm)],[c_138616])).++cnf(c_17072,plain,+ ( op1(e10,e12) = op1(X0,X1)+ | e10 != X0+ | e12 != X1 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_18322,plain,+ ( op1(e10,e12) = op1(e10,X0)+ | e10 != e10+ | e12 != X0 ),+ inference(instantiation,[status(thm)],[c_17072])).++cnf(c_142534,plain,+ ( op1(e10,e12) = op1(e10,X0)+ | e12 != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_140056,c_17146,c_18322])).++cnf(c_204646,plain,+ ( op1(e10,e12) = op1(e10,op1(e10,e10))+ | e12 != op1(e10,e10) ),+ inference(instantiation,[status(thm)],[c_142534])).++cnf(c_224706,plain,+ ( X0 != h3(e12)+ | X0 = e22 ),+ inference(resolution,[status(thm)],[c_16532,c_269])).++cnf(c_224868,plain,+ ( h3(e12) = e22 ),+ inference(resolution,[status(thm)],[c_224706,c_16531])).++cnf(c_225304,plain,+ ( op1(e10,e12) != X0+ | op1(e10,e12) = op1(e12,e12)+ | op1(e12,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138184,plain,+ ( op1(e10,e12) != X0+ | op1(e10,e12) = op1(e12,e12)+ | op1(e12,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_130,plain,+ ( op1(e10,e12) != op1(e12,e12) ),+ inference(cnf_transformation,[],[f169])).++cnf(c_16614,plain,+ ( op1(e10,e12) != X0+ | op1(e10,e12) = op1(e12,e12)+ | op1(e12,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138742,plain,+ ( op1(e10,e12) != X0+ | op1(e12,e12) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138184,c_130,c_16614])).++cnf(c_225807,plain,+ ( op1(e10,e12) != X0+ | op1(e12,e12) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_225304,c_130,c_16614])).++cnf(c_229253,plain,+ ( op1(e10,e12) != e10+ | op1(e12,e12) != e10 ),+ inference(instantiation,[status(thm)],[c_225807])).++cnf(c_224715,plain,+ ( X0 != X1+ | X2 != h3(X1)+ | X2 = h3(X0) ),+ inference(resolution,[status(thm)],[c_16532,c_16537])).++cnf(c_239334,plain,+ ( X0 != X1+ | X2 != X1+ | h3(X2) = h3(X0) ),+ inference(resolution,[status(thm)],[c_224715,c_16537])).++cnf(c_0,plain,+ ( op1(e13,e13) = e11+ | op1(e13,e13) = e12+ | op1(e13,e13) = e13+ | e10 = op1(e13,e13) ),+ inference(cnf_transformation,[],[f75])).++cnf(c_16538,plain,+ ( X0 != X1+ | h4(X0) = h4(X1) ),+ theory(equality)).++cnf(c_141513,plain,+ ( X0 != op1(X1,X2)+ | h4(X0) = h4(op1(X1,X2)) ),+ inference(instantiation,[status(thm)],[c_16538])).++cnf(c_174693,plain,+ ( X0 != op1(e12,op1(e10,e12))+ | h4(X0) = h4(op1(e12,op1(e10,e12))) ),+ inference(instantiation,[status(thm)],[c_141513])).++cnf(c_188127,plain,+ ( op1(e13,e13) != op1(e12,op1(e10,e12))+ | h4(op1(e13,e13)) = h4(op1(e12,op1(e10,e12))) ),+ inference(instantiation,[status(thm)],[c_174693])).++cnf(c_118,plain,+ ( op1(e10,e10) != op1(e10,e12) ),+ inference(cnf_transformation,[],[f181])).++cnf(c_114,plain,+ ( op1(e10,e12) != op1(e10,e13) ),+ inference(cnf_transformation,[],[f185])).++cnf(c_16590,plain,+ ( op1(e10,e10) != X0+ | op1(e10,e10) = op1(e10,e12)+ | op1(e10,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16591,plain,+ ( op1(e10,e10) = op1(e10,e12)+ | op1(e10,e10) != e12+ | op1(e10,e12) != e12 ),+ inference(instantiation,[status(thm)],[c_16590])).++cnf(c_16582,plain,+ ( op1(e10,e12) != X0+ | op1(e10,e12) = op1(e10,e13)+ | op1(e10,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17067,plain,+ ( op1(e10,e12) = op1(e10,e13)+ | op1(e10,e12) != e11+ | op1(e10,e13) != e11 ),+ inference(instantiation,[status(thm)],[c_16582])).++cnf(c_13,plain,+ ( op1(e10,e12) = e11+ | op1(e10,e12) = e12+ | op1(e10,e12) = e13+ | e10 = op1(e10,e12) ),+ inference(cnf_transformation,[],[f62])).++cnf(c_144676,plain,+ ( op1(e10,e12) = e10+ | e10 != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_141414])).++cnf(c_197,plain,+ ( e10 != e11 ),+ inference(cnf_transformation,[],[f252])).++cnf(c_193,plain,+ ( e11 != e13 ),+ inference(cnf_transformation,[],[f256])).++cnf(c_110,plain,+ ( op1(e11,e11) != op1(e11,e12) ),+ inference(cnf_transformation,[],[f189])).++cnf(c_109,plain,+ ( op1(e11,e11) != op1(e11,e13) ),+ inference(cnf_transformation,[],[f190])).++cnf(c_106,plain,+ ( op1(e12,e10) != op1(e12,e12) ),+ inference(cnf_transformation,[],[f193])).++cnf(c_99,plain,+ ( op1(e13,e10) != op1(e13,e13) ),+ inference(cnf_transformation,[],[f200])).++cnf(c_46,plain,+ ( e10 = op1(e10,e10)+ | e10 = op1(e11,e10)+ | e10 = op1(e12,e10)+ | e10 = op1(e13,e10) ),+ inference(cnf_transformation,[],[f77])).++cnf(c_28,plain,+ ( op1(e10,e12) = e11+ | op1(e11,e12) = e11+ | op1(e12,e12) = e11+ | op1(e13,e12) = e11 ),+ inference(cnf_transformation,[],[f95])).++cnf(c_26,plain,+ ( op1(e10,e12) = e12+ | op1(e11,e12) = e12+ | op1(e12,e12) = e12+ | op1(e13,e12) = e12 ),+ inference(cnf_transformation,[],[f97])).++cnf(c_22,plain,+ ( e10 = op1(e10,e13)+ | e10 = op1(e11,e13)+ | e10 = op1(e12,e13)+ | e10 = op1(e13,e13) ),+ inference(cnf_transformation,[],[f101])).++cnf(c_10,plain,+ ( op1(e11,e11) = e11+ | op1(e11,e11) = e12+ | op1(e11,e11) = e13+ | e10 = op1(e11,e11) ),+ inference(cnf_transformation,[],[f65])).++cnf(c_17006,plain,+ ( op1(e12,e10) = op1(e12,e10) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17034,plain,+ ( op1(e11,e11) = op1(e11,e11) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17110,plain,+ ( op1(e11,e13) = op1(e11,e13) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17310,plain,+ ( e10 != op1(e12,e12)+ | e10 = e12+ | e12 != op1(e12,e12) ),+ inference(instantiation,[status(thm)],[c_16743])).++cnf(c_16744,plain,+ ( e10 != X0+ | e10 = e11+ | e11 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17324,plain,+ ( e10 != op1(e12,e12)+ | e10 = e11+ | e11 != op1(e12,e12) ),+ inference(instantiation,[status(thm)],[c_16744])).++cnf(c_16574,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e11) = op1(e11,e12)+ | op1(e11,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17461,plain,+ ( op1(e11,e11) != op1(e11,e11)+ | op1(e11,e11) = op1(e11,e12)+ | op1(e11,e12) != op1(e11,e11) ),+ inference(instantiation,[status(thm)],[c_16574])).++cnf(c_17502,plain,+ ( e10 != op1(e10,e12)+ | e10 = e13+ | e13 != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_16742])).++cnf(c_17501,plain,+ ( e10 != op1(e10,e12)+ | e10 = e12+ | e12 != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_16743])).++cnf(c_17500,plain,+ ( e10 != op1(e10,e12)+ | e10 = e11+ | e11 != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_16744])).++cnf(c_17668,plain,+ ( op1(e13,e12) != X0+ | e12 != X0+ | e12 = op1(e13,e12) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17669,plain,+ ( op1(e13,e12) != e12+ | e12 = op1(e13,e12)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_17668])).++cnf(c_17674,plain,+ ( op1(e12,e12) != X0+ | e12 != X0+ | e12 = op1(e12,e12) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17675,plain,+ ( op1(e12,e12) != e12+ | e12 = op1(e12,e12)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_17674])).++cnf(c_20240,plain,+ ( op1(e10,e12) != e11+ | e11 = op1(e10,e12)+ | e11 != e11 ),+ inference(instantiation,[status(thm)],[c_18197])).++cnf(c_17030,plain,+ ( X0 != X1+ | op1(e11,e13) != X1+ | op1(e11,e13) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18203,plain,+ ( X0 != op1(e11,e13)+ | op1(e11,e13) = X0+ | op1(e11,e13) != op1(e11,e13) ),+ inference(instantiation,[status(thm)],[c_17030])).++cnf(c_20257,plain,+ ( op1(e11,e13) != op1(e11,e13)+ | op1(e11,e13) = e10+ | e10 != op1(e11,e13) ),+ inference(instantiation,[status(thm)],[c_18203])).++cnf(c_20463,plain,+ ( X0 != X1+ | X0 = op1(e10,e12)+ | op1(e10,e12) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_20464,plain,+ ( op1(e10,e12) != e12+ | e12 = op1(e10,e12)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_20463])).++cnf(c_17035,plain,+ ( X0 != X1+ | op1(e11,e11) != X1+ | op1(e11,e11) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18219,plain,+ ( X0 != op1(e11,e11)+ | op1(e11,e11) = X0+ | op1(e11,e11) != op1(e11,e11) ),+ inference(instantiation,[status(thm)],[c_17035])).++cnf(c_24898,plain,+ ( op1(e11,e11) != op1(e11,e11)+ | op1(e11,e11) = e10+ | e10 != op1(e11,e11) ),+ inference(instantiation,[status(thm)],[c_18219])).++cnf(c_16566,plain,+ ( op1(e12,e10) != X0+ | op1(e12,e10) = op1(e12,e12)+ | op1(e12,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_24942,plain,+ ( op1(e12,e10) = op1(e12,e12)+ | op1(e12,e10) != e10+ | op1(e12,e12) != e10 ),+ inference(instantiation,[status(thm)],[c_16566])).++cnf(c_24967,plain,+ ( op1(e12,e12) != e11+ | e11 = op1(e12,e12)+ | e11 != e11 ),+ inference(instantiation,[status(thm)],[c_18197])).++cnf(c_18151,plain,+ ( X0 != op1(e12,e10)+ | op1(e12,e10) = X0+ | op1(e12,e10) != op1(e12,e10) ),+ inference(instantiation,[status(thm)],[c_17007])).++cnf(c_28850,plain,+ ( op1(e12,e10) != op1(e12,e10)+ | op1(e12,e10) = e10+ | e10 != op1(e12,e10) ),+ inference(instantiation,[status(thm)],[c_18151])).++cnf(c_29874,plain,+ ( X0 != X1+ | e11 != X1+ | e11 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_30911,plain,+ ( X0 != e11+ | e11 = X0+ | e11 != e11 ),+ inference(instantiation,[status(thm)],[c_29874])).++cnf(c_32466,plain,+ ( op1(e13,e12) != e11+ | e11 = op1(e13,e12)+ | e11 != e11 ),+ inference(instantiation,[status(thm)],[c_30911])).++cnf(c_29915,plain,+ ( X0 != X1+ | op1(e10,e12) != X1+ | op1(e10,e12) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_30969,plain,+ ( X0 != op1(e10,e12)+ | op1(e10,e12) = X0+ | op1(e10,e12) != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_29915])).++cnf(c_32836,plain,+ ( op1(e10,e12) != op1(e10,e12)+ | op1(e10,e12) = e10+ | e10 != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_30969])).++cnf(c_29525,plain,+ ( op1(e13,e10) != X0+ | op1(e13,e10) = op1(e13,e13)+ | op1(e13,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_36430,plain,+ ( op1(e13,e10) = op1(e13,e13)+ | op1(e13,e10) != e10+ | op1(e13,e13) != e10 ),+ inference(instantiation,[status(thm)],[c_29525])).++cnf(c_29535,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e11) = op1(e11,e13)+ | op1(e11,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_36533,plain,+ ( op1(e11,e11) = op1(e11,e13)+ | op1(e11,e11) != e10+ | op1(e11,e13) != e10 ),+ inference(instantiation,[status(thm)],[c_29535])).++cnf(c_55736,plain,+ ( op1(e13,e12) != e13+ | e13 = op1(e13,e12)+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_31610])).++cnf(c_59562,plain,+ ( e11 != X0+ | e11 = e13+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_62440,plain,+ ( e11 != op1(e13,e12)+ | e11 = e13+ | e13 != op1(e13,e12) ),+ inference(instantiation,[status(thm)],[c_59562])).++cnf(c_60806,plain,+ ( op1(X0,X1) != X2+ | op1(e11,e12) != X2+ | op1(e11,e12) = op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_65626,plain,+ ( op1(e11,e11) != e11+ | op1(e11,e12) = op1(e11,e11)+ | op1(e11,e12) != e11 ),+ inference(instantiation,[status(thm)],[c_60806])).++cnf(c_88332,plain,+ ( e12 != op1(e13,e12)+ | e12 = e13+ | e13 != op1(e13,e12) ),+ inference(instantiation,[status(thm)],[c_59561])).++cnf(c_138164,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e11) = op1(e11,e12)+ | op1(e11,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138571,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e12) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138164,c_110,c_16574])).++cnf(c_138573,plain,+ ( op1(e11,e11) != e12+ | op1(e11,e12) != e12 ),+ inference(instantiation,[status(thm)],[c_138571])).++cnf(c_138472,plain,+ ( X0 != X1+ | op1(e13,e13) != X1+ | op1(e13,e13) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139917,plain,+ ( X0 != op1(e13,e13)+ | op1(e13,e13) = X0+ | op1(e13,e13) != op1(e13,e13) ),+ inference(instantiation,[status(thm)],[c_138472])).++cnf(c_16976,plain,+ ( X0 != X1+ | op1(e13,e13) != X1+ | op1(e13,e13) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18100,plain,+ ( X0 != op1(e13,e13)+ | op1(e13,e13) = X0+ | op1(e13,e13) != op1(e13,e13) ),+ inference(instantiation,[status(thm)],[c_16976])).++cnf(c_18101,plain,+ ( op1(e13,e13) = op1(e13,e13) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_141159,plain,+ ( op1(e13,e13) = X0+ | X0 != op1(e13,e13) ),+ inference(global_propositional_subsumption,[status(thm)],[c_139917,c_18100,c_18101])).++cnf(c_141160,plain,+ ( X0 != op1(e13,e13)+ | op1(e13,e13) = X0 ),+ inference(renaming,[status(thm)],[c_141159])).++cnf(c_144662,plain,+ ( op1(e13,e13) = e10+ | e10 != op1(e13,e13) ),+ inference(instantiation,[status(thm)],[c_141160])).++cnf(c_138172,plain,+ ( op1(e10,e10) != X0+ | op1(e10,e10) = op1(e10,e12)+ | op1(e10,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138643,plain,+ ( op1(e10,e10) != X0+ | op1(e10,e12) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138172,c_118,c_16590])).++cnf(c_148725,plain,+ ( op1(e10,e10) != e10+ | op1(e10,e12) != e10 ),+ inference(instantiation,[status(thm)],[c_138643])).++cnf(c_151062,plain,+ ( e10 != op1(e10,e12) ),+ inference(global_propositional_subsumption,[status(thm)],[c_144676,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,c_224,c_221,c_197,c_196,c_195,c_194,c_193,c_192,c_143,c_140,c_139,c_135,c_128,c_126,c_124,c_120,c_113,c_112,c_110,c_109,c_107,c_106,c_104,c_103,c_102,c_99,c_46,c_41,c_39,c_28,c_26,c_24,c_23,c_22,c_10,c_6,c_16539,c_16545,c_16561,c_16958,c_17006,c_17013,c_17034,c_17059,c_17069,c_17089,c_17105,c_17110,c_17146,c_17196,c_17224,c_17310,c_17316,c_17324,c_17461,c_17467,c_17502,c_17501,c_17500,c_17669,c_17675,c_17685,c_18082,c_18107,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,c_20144,c_20240,c_20243,c_20257,c_20396,c_20399,c_20440,c_20464,c_21221,c_21647,c_21699,c_23054,c_23127,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_24898,c_24942,c_24967,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_28850,c_29140,c_29185,c_29228,c_31852,c_31860,c_31892,c_31942,c_32466,c_32502,c_32730,c_32836,c_35127,c_36430,c_36527,c_36533,c_45564,c_47043,c_49848,c_55736,c_62414,c_62440,c_65626,c_66850,c_72084,c_75243,c_88332,c_133487,c_137595,c_137971,c_137988,c_138028,c_138573,c_142352,c_144212,c_144662,c_148725])).++cnf(c_154195,plain,+ ( op1(e10,e12) = e13+ | op1(e10,e12) = e12+ | op1(e10,e12) = e11 ),+ inference(global_propositional_subsumption,[status(thm)],[c_13,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,c_224,c_221,c_197,c_196,c_195,c_194,c_193,c_192,c_143,c_140,c_139,c_135,c_128,c_126,c_124,c_120,c_113,c_112,c_110,c_109,c_107,c_106,c_104,c_103,c_102,c_99,c_46,c_41,c_39,c_28,c_26,c_24,c_23,c_22,c_10,c_6,c_16539,c_16545,c_16561,c_16958,c_17006,c_17013,c_17034,c_17059,c_17069,c_17089,c_17105,c_17110,c_17146,c_17196,c_17224,c_17310,c_17316,c_17324,c_17461,c_17467,c_17502,c_17501,c_17500,c_17669,c_17675,c_17685,c_18082,c_18107,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,c_20144,c_20240,c_20243,c_20257,c_20396,c_20399,c_20440,c_20464,c_21221,c_21647,c_21699,c_23054,c_23127,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_24898,c_24942,c_24967,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_28850,c_29140,c_29185,c_29228,c_31852,c_31860,c_31892,c_31942,c_32466,c_32502,c_32730,c_32836,c_35127,c_36430,c_36527,c_36533,c_45564,c_47043,c_49848,c_55736,c_62414,c_62440,c_65626,c_66850,c_72084,c_75243,c_88332,c_133487,c_137595,c_137971,c_137988,c_138028,c_138573,c_142352,c_144212,c_144662,c_148725])).++cnf(c_154196,plain,+ ( op1(e10,e12) = e11+ | op1(e10,e12) = e12+ | op1(e10,e12) = e13 ),+ inference(renaming,[status(thm)],[c_154195])).++cnf(c_139936,plain,+ ( op1(X0,X1) != X2+ | op1(e12,e13) != X2+ | op1(e12,e13) = op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_145843,plain,+ ( op1(e12,op1(e10,e12)) != e12+ | op1(e12,e13) = op1(e12,op1(e10,e12))+ | op1(e12,e13) != e12 ),+ inference(instantiation,[status(thm)],[c_139936])).++cnf(c_60755,plain,+ ( op1(X0,X1) != X2+ | op1(e12,e13) != X2+ | op1(e12,e13) = op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_65489,plain,+ ( op1(e12,op1(e10,e12)) != e12+ | op1(e12,e13) = op1(e12,op1(e10,e12))+ | op1(e12,e13) != e12 ),+ inference(instantiation,[status(thm)],[c_60755])).++cnf(c_157387,plain,+ ( op1(e12,e13) = op1(e12,op1(e10,e12))+ | op1(e12,e13) != e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_145843,c_254,c_253,c_252,c_235,c_234,c_232,c_229,c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_128,c_126,c_39,c_23,c_16539,c_16545,c_16958,c_17013,c_17146,c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,c_18206,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,c_45564,c_47043,c_49848,c_62414,c_65489,c_66850,c_72084,c_133487,c_137595,c_138028,c_142352,c_144212])).++cnf(c_139924,plain,+ ( op1(X0,X1) != X2+ | op1(e13,e10) != X2+ | op1(e13,e10) = op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_145844,plain,+ ( op1(e12,op1(e10,e12)) != e12+ | op1(e13,e10) = op1(e12,op1(e10,e12))+ | op1(e13,e10) != e12 ),+ inference(instantiation,[status(thm)],[c_139924])).++cnf(c_60743,plain,+ ( op1(X0,X1) != X2+ | op1(e13,e10) != X2+ | op1(e13,e10) = op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_65490,plain,+ ( op1(e12,op1(e10,e12)) != e12+ | op1(e13,e10) = op1(e12,op1(e10,e12))+ | op1(e13,e10) != e12 ),+ inference(instantiation,[status(thm)],[c_60743])).++cnf(c_157416,plain,+ ( op1(e13,e10) = op1(e12,op1(e10,e12))+ | op1(e13,e10) != e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_145844,c_254,c_253,c_252,c_235,c_234,c_232,c_229,c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_128,c_126,c_39,c_23,c_16539,c_16545,c_16958,c_17013,c_17146,c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,c_18206,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,c_45564,c_47043,c_49848,c_62414,c_65490,c_66850,c_72084,c_133487,c_137595,c_138028,c_142352,c_144212])).++cnf(c_138153,plain,+ ( op1(e13,e10) != X0+ | op1(e13,e10) = op1(e13,e13)+ | op1(e13,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16552,plain,+ ( op1(e13,e10) != X0+ | op1(e13,e10) = op1(e13,e13)+ | op1(e13,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138467,plain,+ ( op1(e13,e10) != X0+ | op1(e13,e13) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138153,c_99,c_16552])).++cnf(c_138473,plain,+ ( op1(e13,e10) != op1(X0,X1)+ | op1(e13,e13) != op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_138467])).++cnf(c_157419,plain,+ ( op1(e13,e10) != op1(e12,op1(e10,e12))+ | op1(e13,e13) != op1(e12,op1(e10,e12)) ),+ inference(instantiation,[status(thm)],[c_138473])).++cnf(c_138177,plain,+ ( op1(e10,e13) != X0+ | op1(e10,e13) = op1(e13,e13)+ | op1(e13,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16600,plain,+ ( op1(e10,e13) != X0+ | op1(e10,e13) = op1(e13,e13)+ | op1(e13,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138683,plain,+ ( op1(e10,e13) != X0+ | op1(e13,e13) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138177,c_123,c_16600])).++cnf(c_174321,plain,+ ( op1(e10,e13) != op1(e12,op1(e10,e12))+ | op1(e13,e13) != op1(e12,op1(e10,e12)) ),+ inference(instantiation,[status(thm)],[c_138683])).++cnf(c_215214,plain,+ ( op1(e13,e13) != op1(e12,op1(e10,e12)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_188127,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_128,c_126,c_124,c_118,c_114,c_39,c_23,c_12,c_16539,c_16545,c_16591,c_16958,c_17013,c_17067,c_17146,c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,c_18206,c_19077,c_19078,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_29140,c_29185,c_29228,c_31852,c_31860,c_32730,c_35127,c_45564,c_47043,c_49848,c_62414,c_63779,c_66850,c_72084,c_75243,c_133487,c_137595,c_137971,c_138028,c_142352,c_144212,c_154196,c_157387,c_157416,c_157419,c_174274,c_174318,c_174321])).++cnf(c_224827,plain,+ ( op1(e13,e13) = e11+ | op1(e13,e13) = e13+ | e10 = op1(e13,e13) ),+ inference(global_propositional_subsumption,[status(thm)],[c_0,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_128,c_126,c_124,c_118,c_114,c_39,c_23,c_12,c_16539,c_16545,c_16591,c_16958,c_17013,c_17067,c_17146,c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,c_18206,c_19077,c_19078,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_29140,c_29185,c_29228,c_31852,c_31860,c_32730,c_35127,c_45564,c_47043,c_49848,c_62414,c_63779,c_66850,c_72084,c_75243,c_133487,c_137595,c_137971,c_138028,c_142352,c_144212,c_154196,c_157387,c_157416,c_157419,c_174273,c_174274,c_174318,c_174321])).++cnf(c_97,plain,+ ( op1(e13,e11) != op1(e13,e13) ),+ inference(cnf_transformation,[],[f202])).++cnf(c_16548,plain,+ ( op1(e13,e11) != X0+ | op1(e13,e11) = op1(e13,e13)+ | op1(e13,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_24973,plain,+ ( op1(e13,e11) = op1(e13,e13)+ | op1(e13,e11) != e11+ | op1(e13,e13) != e11 ),+ inference(instantiation,[status(thm)],[c_16548])).++cnf(c_138567,plain,+ ( X0 != X1+ | op1(e11,e11) != X1+ | op1(e11,e11) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139993,plain,+ ( X0 != e11+ | op1(e11,e11) = X0+ | op1(e11,e11) != e11 ),+ inference(instantiation,[status(thm)],[c_138567])).++cnf(c_145856,plain,+ ( op1(e11,op1(e10,e11)) != e11+ | op1(e11,e11) = op1(e11,op1(e10,e11))+ | op1(e11,e11) != e11 ),+ inference(instantiation,[status(thm)],[c_139993])).++cnf(c_230,plain,+ ( ~ sP0+ | op1(e11,op1(e10,e11)) = e11 ),+ inference(cnf_transformation,[],[f289])).++cnf(c_18702,plain,+ ( X0 != e11+ | op1(e11,e11) = X0+ | op1(e11,e11) != e11 ),+ inference(instantiation,[status(thm)],[c_17035])).++cnf(c_21243,plain,+ ( op1(e11,op1(e10,e11)) != e11+ | op1(e11,e11) = op1(e11,op1(e10,e11))+ | op1(e11,e11) != e11 ),+ inference(instantiation,[status(thm)],[c_18702])).++cnf(c_157467,plain,+ ( op1(e11,e11) = op1(e11,op1(e10,e11))+ | op1(e11,e11) != e11 ),+ inference(global_propositional_subsumption,[status(thm)],[c_145856,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_128,c_126,c_39,c_23,c_16539,c_16545,c_16958,c_17013,c_17146,c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,c_18206,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_21243,c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,c_45564,c_47043,c_49848,c_62414,c_66850,c_72084,c_133487,c_137595,c_138028,c_142352,c_144212])).++cnf(c_138163,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e11) = op1(e11,e13)+ | op1(e11,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16572,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e11) = op1(e11,e13)+ | op1(e11,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17033,plain,+ ( op1(e11,e11) != op1(e11,e11)+ | op1(e11,e11) = op1(e11,e13)+ | op1(e11,e13) != op1(e11,e11) ),+ inference(instantiation,[status(thm)],[c_16572])).++cnf(c_25719,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e13) != X0+ | op1(e11,e13) = op1(e11,e11) ),+ inference(instantiation,[status(thm)],[c_17030])).++cnf(c_138561,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e13) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138163,c_109,c_17033,c_17034,c_25719])).++cnf(c_138568,plain,+ ( op1(e11,e11) != op1(X0,X1)+ | op1(e11,e13) != op1(X0,X1) ),+ inference(instantiation,[status(thm)],[c_138561])).++cnf(c_157476,plain,+ ( op1(e11,e11) != op1(e11,op1(e10,e11))+ | op1(e11,e13) != op1(e11,op1(e10,e11)) ),+ inference(instantiation,[status(thm)],[c_138568])).++cnf(c_138550,plain,+ ( op1(e11,e13) = op1(X0,X1)+ | e11 != X0+ | e13 != X1 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_139992,plain,+ ( op1(e11,e13) = op1(e11,X0)+ | e11 != e11+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_138550])).++cnf(c_17032,plain,+ ( op1(e11,e13) = op1(X0,X1)+ | e11 != X0+ | e13 != X1 ),+ inference(instantiation,[status(thm)],[c_16533])).++cnf(c_18212,plain,+ ( op1(e11,e13) = op1(e11,X0)+ | e11 != e11+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_17032])).++cnf(c_141322,plain,+ ( op1(e11,e13) = op1(e11,X0)+ | e13 != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_139992,c_17013,c_18212])).++cnf(c_163528,plain,+ ( op1(e11,e13) = op1(e11,op1(e10,e11))+ | e13 != op1(e10,e11) ),+ inference(instantiation,[status(thm)],[c_141322])).++cnf(c_36,plain,+ ( op1(e10,e11) = e11+ | op1(e11,e11) = e11+ | op1(e12,e11) = e11+ | op1(e13,e11) = e11 ),+ inference(cnf_transformation,[],[f87])).++cnf(c_134,plain,+ ( op1(e11,e11) != op1(e12,e11) ),+ inference(cnf_transformation,[],[f165])).++cnf(c_101,plain,+ ( op1(e13,e10) != op1(e13,e11) ),+ inference(cnf_transformation,[],[f198])).++cnf(c_16556,plain,+ ( op1(e13,e10) != X0+ | op1(e13,e10) = op1(e13,e11)+ | op1(e13,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16557,plain,+ ( op1(e13,e10) = op1(e13,e11)+ | op1(e13,e10) != e12+ | op1(e13,e11) != e12 ),+ inference(instantiation,[status(thm)],[c_16556])).++cnf(c_16622,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e11) = op1(e12,e11)+ | op1(e12,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16623,plain,+ ( op1(e11,e11) = op1(e12,e11)+ | op1(e11,e11) != e12+ | op1(e12,e11) != e12 ),+ inference(instantiation,[status(thm)],[c_16622])).++cnf(c_138191,plain,+ ( op1(e10,e11) != X0+ | op1(e10,e11) = op1(e11,e11)+ | op1(e11,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_137,plain,+ ( op1(e10,e11) != op1(e11,e11) ),+ inference(cnf_transformation,[],[f162])).++cnf(c_16628,plain,+ ( op1(e10,e11) != X0+ | op1(e10,e11) = op1(e11,e11)+ | op1(e11,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138817,plain,+ ( op1(e10,e11) != X0+ | op1(e11,e11) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138191,c_137,c_16628])).++cnf(c_138819,plain,+ ( op1(e10,e11) != e12+ | op1(e11,e11) != e12 ),+ inference(instantiation,[status(thm)],[c_138817])).++cnf(c_138455,plain,+ ( X0 != X1+ | op1(e13,e11) != X1+ | op1(e13,e11) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139900,plain,+ ( X0 != op1(e13,e11)+ | op1(e13,e11) = X0+ | op1(e13,e11) != op1(e13,e11) ),+ inference(instantiation,[status(thm)],[c_138455])).++cnf(c_16966,plain,+ ( X0 != X1+ | op1(e13,e11) != X1+ | op1(e13,e11) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18089,plain,+ ( X0 != op1(e13,e11)+ | op1(e13,e11) = X0+ | op1(e13,e11) != op1(e13,e11) ),+ inference(instantiation,[status(thm)],[c_16966])).++cnf(c_141121,plain,+ ( op1(e13,e11) = X0+ | X0 != op1(e13,e11) ),+ inference(global_propositional_subsumption,[status(thm)],[c_139900,c_16965,c_18089])).++cnf(c_141122,plain,+ ( X0 != op1(e13,e11)+ | op1(e13,e11) = X0 ),+ inference(renaming,[status(thm)],[c_141121])).++cnf(c_141124,plain,+ ( op1(e13,e11) = e10+ | e10 != op1(e13,e11) ),+ inference(instantiation,[status(thm)],[c_141122])).++cnf(c_2,plain,+ ( op1(e13,e11) = e11+ | op1(e13,e11) = e12+ | op1(e13,e11) = e13+ | e10 = op1(e13,e11) ),+ inference(cnf_transformation,[],[f73])).++cnf(c_17676,plain,+ ( op1(e12,e11) != X0+ | e12 != X0+ | e12 = op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17677,plain,+ ( op1(e12,e11) != e12+ | e12 = op1(e12,e11)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_17676])).++cnf(c_22973,plain,+ ( op1(e13,e11) = op1(e13,e12)+ | op1(e13,e11) != e13+ | op1(e13,e12) != e13 ),+ inference(instantiation,[status(thm)],[c_16550])).++cnf(c_29558,plain,+ ( op1(e12,e11) != X0+ | op1(e12,e11) = op1(e13,e11)+ | op1(e13,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_30290,plain,+ ( op1(e12,e11) != op1(e12,e11)+ | op1(e12,e11) = op1(e13,e11)+ | op1(e13,e11) != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_29558])).++cnf(c_34860,plain,+ ( op1(e12,e11) != e13+ | op1(e13,e11) = op1(e12,e11)+ | op1(e13,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_30823])).++cnf(c_62404,plain,+ ( e12 != op1(e10,e12)+ | e12 = e13+ | e13 != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_59561])).++cnf(c_62865,plain,+ ( X0 != X1+ | X0 = op1(e10,e12)+ | op1(e10,e12) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_76699,plain,+ ( X0 = op1(e10,e12)+ | X0 != op1(e12,e11)+ | op1(e10,e12) != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_62865])).++cnf(c_76700,plain,+ ( op1(e10,e12) != op1(e12,e11)+ | e12 = op1(e10,e12)+ | e12 != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_76699])).++cnf(c_224899,plain,+ ( op1(e13,e11) = e12+ | op1(e13,e11) = e11+ | e10 = op1(e13,e11) ),+ inference(global_propositional_subsumption,[status(thm)],[c_2,c_254,c_253,c_252,c_192,c_143,c_135,c_132,c_124,c_120,c_112,c_107,c_104,c_103,c_98,c_41,c_24,c_6,c_16539,c_16545,c_16561,c_17013,c_17196,c_17677,c_18082,c_18140,c_18166,c_19077,c_19078,c_19289,c_20081,c_20144,c_20243,c_21647,c_22973,c_23126,c_23176,c_24872,c_27669,c_27674,c_30290,c_31892,c_31942,c_32502,c_34860,c_35127,c_36527,c_47043,c_62404,c_76700,c_137971,c_137988,c_178052])).++cnf(c_224900,plain,+ ( op1(e13,e11) = e11+ | op1(e13,e11) = e12+ | e10 = op1(e13,e11) ),+ inference(renaming,[status(thm)],[c_224899])).++cnf(c_225307,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e11) = op1(e13,e11)+ | op1(e13,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_133,plain,+ ( op1(e11,e11) != op1(e13,e11) ),+ inference(cnf_transformation,[],[f166])).++cnf(c_16620,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e11) = op1(e13,e11)+ | op1(e13,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_225827,plain,+ ( op1(e11,e11) != X0+ | op1(e13,e11) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_225307,c_133,c_16620])).++cnf(c_229205,plain,+ ( op1(e11,e11) != e10+ | op1(e13,e11) != e10 ),+ inference(instantiation,[status(thm)],[c_225827])).++cnf(c_34,plain,+ ( op1(e10,e11) = e12+ | op1(e11,e11) = e12+ | op1(e12,e11) = e12+ | op1(e13,e11) = e12 ),+ inference(cnf_transformation,[],[f89])).++cnf(c_136,plain,+ ( op1(e10,e11) != op1(e12,e11) ),+ inference(cnf_transformation,[],[f163])).++cnf(c_16626,plain,+ ( op1(e10,e11) != X0+ | op1(e10,e11) = op1(e12,e11)+ | op1(e12,e11) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17203,plain,+ ( op1(e10,e11) = op1(e12,e11)+ | op1(e10,e11) != e13+ | op1(e12,e11) != e13 ),+ inference(instantiation,[status(thm)],[c_16626])).++cnf(c_43,plain,+ ( op1(e10,e10) = e12+ | op1(e10,e11) = e12+ | op1(e10,e12) = e12+ | op1(e10,e13) = e12 ),+ inference(cnf_transformation,[],[f80])).++cnf(c_18892,plain,+ ( op1(e12,e11) = op1(e12,e13)+ | op1(e12,e11) != e13+ | op1(e12,e13) != e13 ),+ inference(instantiation,[status(thm)],[c_16560])).++cnf(c_27667,plain,+ ( op1(e12,e11) != e13+ | e13 = op1(e12,e11)+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_19596])).++cnf(c_29618,plain,+ ( e12 != X0+ | e12 = e13+ | e13 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_45650,plain,+ ( e12 != op1(e12,e11)+ | e12 = e13+ | e13 != op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_29618])).++cnf(c_61723,plain,+ ( X0 != X1+ | X0 = op1(e12,e11)+ | op1(e12,e11) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_64401,plain,+ ( X0 != op1(e10,e12)+ | X0 = op1(e12,e11)+ | op1(e12,e11) != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_61723])).++cnf(c_64402,plain,+ ( op1(e12,e11) != op1(e10,e12)+ | e12 != op1(e10,e12)+ | e12 = op1(e12,e11) ),+ inference(instantiation,[status(thm)],[c_64401])).++cnf(c_229612,plain,+ ( op1(e10,e11) = e13+ | op1(e10,e11) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_14,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,c_135,c_132,c_128,c_126,c_124,c_120,c_113,c_112,c_107,c_105,c_104,c_103,c_102,c_98,c_43,c_41,c_39,c_32,c_24,c_23,c_6,c_4,c_16539,c_16545,c_16561,c_16603,c_16958,c_17004,c_17013,c_17059,c_17105,c_17146,c_17196,c_17224,c_17316,c_17467,c_17677,c_17685,c_18082,c_18107,c_18140,c_18166,c_18206,c_18892,c_19077,c_19078,c_19289,c_19311,c_20081,c_20144,c_20243,c_20396,c_20399,c_20440,c_20464,c_21221,c_21647,c_22973,c_23054,c_23127,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_27071,c_27667,c_27668,c_27669,c_27673,c_27674,c_29140,c_29185,c_30290,c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,c_34860,c_35127,c_36527,c_45564,c_45650,c_47043,c_49848,c_62404,c_62414,c_64402,c_66850,c_72084,c_76700,c_133487,c_133544,c_137595,c_137971,c_137988,c_138028,c_142352,c_144212,c_178052,c_204646,c_229253,c_229277])).++cnf(c_229613,plain,+ ( op1(e10,e11) = e12+ | op1(e10,e11) = e13 ),+ inference(renaming,[status(thm)],[c_229612])).++cnf(c_229902,plain,+ ( op1(e12,e11) = e12+ | op1(e10,e11) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_34,c_254,c_253,c_136,c_107,c_104,c_6,c_16539,c_16545,c_17203,c_18140,c_18166,c_20081,c_20144,c_23126,c_31892,c_32502,c_229613])).++cnf(c_229903,plain,+ ( op1(e10,e11) = e12+ | op1(e12,e11) = e12 ),+ inference(renaming,[status(thm)],[c_229902])).++cnf(c_229992,plain,+ ( op1(e11,e11) = e11+ | op1(e13,e11) = e11 ),+ inference(global_propositional_subsumption,[status(thm)],[c_36,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,c_135,c_134,c_132,c_128,c_126,c_124,c_120,c_113,c_112,c_107,c_104,c_103,c_101,c_98,c_42,c_41,c_39,c_24,c_23,c_10,c_6,c_2,c_16539,c_16545,c_16557,c_16561,c_16623,c_16958,c_17013,c_17034,c_17059,c_17146,c_17196,c_17224,c_17316,c_17467,c_17677,c_17685,c_18082,c_18107,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,c_20113,c_20144,c_20238,c_20243,c_20396,c_20440,c_21221,c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_24898,c_27071,c_27668,c_27669,c_27673,c_27674,c_29140,c_29185,c_30290,c_30493,c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,c_34860,c_35127,c_36462,c_36527,c_45564,c_47043,c_49848,c_62391,c_62404,c_62414,c_66850,c_72084,c_76700,c_133487,c_133544,c_137595,c_137971,c_137988,c_138028,c_138819,c_141124,c_142352,c_144212,c_178052,c_204646,c_229205,c_229253,c_229903])).++cnf(c_225653,plain,+ ( X0 != X1+ | e13 != X1+ | e13 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_227499,plain,+ ( X0 != e13+ | e13 = X0+ | e13 != e13 ),+ inference(instantiation,[status(thm)],[c_225653])).++cnf(c_231949,plain,+ ( e13 = X0+ | X0 != e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_227499,c_18082,c_19596])).++cnf(c_231950,plain,+ ( X0 != e13+ | e13 = X0 ),+ inference(renaming,[status(thm)],[c_231949])).++cnf(c_233740,plain,+ ( op1(e10,e11) != e13+ | e13 = op1(e10,e11) ),+ inference(instantiation,[status(thm)],[c_231950])).++cnf(c_239524,plain,+ ( e10 = op1(e13,e13) ),+ inference(global_propositional_subsumption,[status(thm)],[c_224827,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,c_135,c_132,c_128,c_126,c_124,c_123,c_120,c_113,c_112,c_107,c_104,c_103,c_98,c_97,c_41,c_39,c_32,c_24,c_23,c_12,c_6,c_16539,c_16545,c_16561,c_16603,c_16958,c_17013,c_17059,c_17146,c_17196,c_17224,c_17316,c_17467,c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_24973,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,c_34859,c_35127,c_36527,c_45564,c_47043,c_49848,c_59901,c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,c_76700,c_133487,c_137595,c_137971,c_137988,c_138028,c_142352,c_144212,c_154058,c_157476,c_162431,c_163528,c_178052,c_229618,c_229992,c_231889,c_233740])).++cnf(c_241065,plain,+ ( X0 != op1(e13,e13)+ | h3(X0) = h3(e10) ),+ inference(resolution,[status(thm)],[c_239334,c_239524])).++cnf(c_224705,plain,+ ( X0 = op2(e22,e22)+ | X0 != h3(e10) ),+ inference(resolution,[status(thm)],[c_16532,c_268])).++cnf(c_224676,plain,+ ( X0 != op2(e22,e22)+ | X0 = e20 ),+ inference(resolution,[status(thm)],[c_16532,c_257])).++cnf(c_229665,plain,+ ( X0 != h3(e10)+ | X0 = e20 ),+ inference(resolution,[status(thm)],[c_224705,c_224676])).++cnf(c_253318,plain,+ ( X0 != op1(e13,e13)+ | h3(X0) = e20 ),+ inference(resolution,[status(thm)],[c_241065,c_229665])).++cnf(c_253327,plain,+ ( h3(op1(e13,e13)) = e20 ),+ inference(resolution,[status(thm)],[c_253318,c_16531])).++cnf(c_224826,plain,+ ( X0 != X1+ | X2 != X3+ | X4 != op2(X1,X3)+ | X4 = op2(X0,X2) ),+ inference(resolution,[status(thm)],[c_16534,c_16532])).++cnf(c_240234,plain,+ ( X0 != e22+ | X1 != e22+ | e20 = op2(X0,X1) ),+ inference(resolution,[status(thm)],[c_224826,c_257])).++cnf(c_224872,plain,+ ( X0 = h3(e12)+ | X0 != e22 ),+ inference(resolution,[status(thm)],[c_224868,c_16532])).++cnf(c_224962,plain,+ ( X0 = X1+ | X0 != h3(e12)+ | X1 != e22 ),+ inference(resolution,[status(thm)],[c_224872,c_16532])).++cnf(c_230647,plain,+ ( X0 != e22+ | e22 = X0 ),+ inference(resolution,[status(thm)],[c_224962,c_269])).++cnf(c_249,plain,+ ( sP3+ | sP4+ | sP5+ | op2(e22,op2(e23,e22)) = e22 ),+ inference(cnf_transformation,[],[f310])).++cnf(c_237,plain,+ ( ~ sP5+ | op2(e22,op2(e22,e22)) = e22 ),+ inference(cnf_transformation,[],[f298])).++cnf(c_200,plain,+ ( e21 != e22 ),+ inference(cnf_transformation,[],[f261])).++cnf(c_17428,plain,+ ( X0 != X1+ | e22 != X1+ | e22 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19519,plain,+ ( X0 != e22+ | e22 = X0+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_17428])).++cnf(c_23671,plain,+ ( op2(e22,op2(e22,e22)) != e22+ | e22 = op2(e22,op2(e22,e22))+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_19519])).++cnf(c_29626,plain,+ ( e21 != X0+ | e21 = e22+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_38592,plain,+ ( e21 != op2(e22,op2(e22,e22))+ | e21 = e22+ | e22 != op2(e22,op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_29626])).++cnf(c_240,plain,+ ( ~ sP4+ | op2(e23,op2(e21,e23)) = e23 ),+ inference(cnf_transformation,[],[f303])).++cnf(c_242,plain,+ ( ~ sP4+ | op2(e21,op2(e21,e21)) = e21 ),+ inference(cnf_transformation,[],[f301])).++cnf(c_201,plain,+ ( e20 != e23 ),+ inference(cnf_transformation,[],[f260])).++cnf(c_199,plain,+ ( e21 != e23 ),+ inference(cnf_transformation,[],[f262])).++cnf(c_188,plain,+ ( op2(e21,e20) != op2(e22,e20) ),+ inference(cnf_transformation,[],[f207])).++cnf(c_187,plain,+ ( op2(e21,e20) != op2(e23,e20) ),+ inference(cnf_transformation,[],[f208])).++cnf(c_176,plain,+ ( op2(e21,e22) != op2(e22,e22) ),+ inference(cnf_transformation,[],[f219])).++cnf(c_88,plain,+ ( op2(e20,e20) = e23+ | op2(e21,e20) = e23+ | op2(e22,e20) = e23+ | op2(e23,e20) = e23 ),+ inference(cnf_transformation,[],[f131])).++cnf(c_87,plain,+ ( e20 = op2(e21,e20)+ | e20 = op2(e21,e21)+ | e20 = op2(e21,e22)+ | e20 = op2(e21,e23) ),+ inference(cnf_transformation,[],[f132])).++cnf(c_17300,plain,+ ( op2(e22,e22) = op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17740,plain,+ ( op2(e21,e22) = op2(e21,e22) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_16751,plain,+ ( e20 != X0+ | e20 = e23+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18997,plain,+ ( e20 != op2(e21,e20)+ | e20 = e23+ | e23 != op2(e21,e20) ),+ inference(instantiation,[status(thm)],[c_16751])).++cnf(c_19346,plain,+ ( op2(e22,e20) != e23+ | e23 = op2(e22,e20)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_17279,plain,+ ( op2(e23,e20) = op2(X0,X1)+ | e20 != X1+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_18441,plain,+ ( op2(e23,e20) = op2(X0,op2(e21,e23))+ | e20 != op2(e21,e23)+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_17279])).++cnf(c_20955,plain,+ ( op2(e23,e20) = op2(e23,op2(e21,e23))+ | e20 != op2(e21,e23)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_18441])).++cnf(c_17301,plain,+ ( X0 != X1+ | op2(e22,e22) != X1+ | op2(e22,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18463,plain,+ ( X0 != op2(e22,e22)+ | op2(e22,e22) = X0+ | op2(e22,e22) != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_17301])).++cnf(c_21017,plain,+ ( op2(e22,e22) != op2(e22,e22)+ | op2(e22,e22) = e20+ | e20 != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_18463])).++cnf(c_21762,plain,+ ( op2(e23,op2(e21,e23)) != e23+ | e23 = op2(e23,op2(e21,e23))+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_22510,plain,+ ( op2(e21,e20) != e23+ | e23 = op2(e21,e20)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_26603,plain,+ ( op2(e22,e20) != e21+ | e21 = op2(e22,e20)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_19525])).++cnf(c_17351,plain,+ ( X0 != X1+ | op2(e22,e20) != X1+ | op2(e22,e20) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18492,plain,+ ( X0 != e21+ | op2(e22,e20) = X0+ | op2(e22,e20) != e21 ),+ inference(instantiation,[status(thm)],[c_17351])).++cnf(c_27237,plain,+ ( op2(e21,op2(e21,e21)) != e21+ | op2(e22,e20) = op2(e21,op2(e21,e21))+ | op2(e22,e20) != e21 ),+ inference(instantiation,[status(thm)],[c_18492])).++cnf(c_17767,plain,+ ( op2(e21,e20) = op2(X0,X1)+ | e20 != X1+ | e21 != X0 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_19989,plain,+ ( op2(e21,e20) = op2(X0,op2(e22,e22))+ | e20 != op2(e22,e22)+ | e21 != X0 ),+ inference(instantiation,[status(thm)],[c_17767])).++cnf(c_27945,plain,+ ( op2(e21,e20) = op2(e21,op2(e22,e22))+ | e20 != op2(e22,e22)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_19989])).++cnf(c_31181,plain,+ ( op2(e21,e20) = op2(X0,op2(e21,e21))+ | e20 != op2(e21,e21)+ | e21 != X0 ),+ inference(instantiation,[status(thm)],[c_30199])).++cnf(c_33461,plain,+ ( op2(e21,e20) = op2(e21,op2(e21,e21))+ | e20 != op2(e21,e21)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_31181])).++cnf(c_29613,plain,+ ( op2(e21,e20) != X0+ | op2(e21,e20) = op2(e23,e20)+ | op2(e23,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_38896,plain,+ ( op2(e21,e20) != op2(e21,op2(e22,e22))+ | op2(e21,e20) = op2(e23,e20)+ | op2(e23,e20) != op2(e21,op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_29613])).++cnf(c_29614,plain,+ ( op2(e21,e20) != X0+ | op2(e21,e20) = op2(e22,e20)+ | op2(e22,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_38949,plain,+ ( op2(e21,e20) != op2(e21,op2(e21,e21))+ | op2(e21,e20) = op2(e22,e20)+ | op2(e22,e20) != op2(e21,op2(e21,e21)) ),+ inference(instantiation,[status(thm)],[c_29614])).++cnf(c_30159,plain,+ ( X0 != X1+ | op2(e21,e22) != X1+ | op2(e21,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_31142,plain,+ ( X0 != op2(e21,e22)+ | op2(e21,e22) = X0+ | op2(e21,e22) != op2(e21,e22) ),+ inference(instantiation,[status(thm)],[c_30159])).++cnf(c_44248,plain,+ ( op2(e21,e22) != op2(e21,e22)+ | op2(e21,e22) = e20+ | e20 != op2(e21,e22) ),+ inference(instantiation,[status(thm)],[c_31142])).++cnf(c_34944,plain,+ ( X0 != op2(e22,op2(e22,e22))+ | X1 != op2(e22,e22)+ | op2(X0,X1) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_41109,plain,+ ( X0 != op2(e22,op2(e22,e22))+ | op2(X0,op2(e22,e22)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | op2(e22,e22) != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_34944])).++cnf(c_51437,plain,+ ( op2(e21,op2(e22,e22)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | op2(e22,e22) != op2(e22,e22)+ | e21 != op2(e22,op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_41109])).++cnf(c_59545,plain,+ ( op2(e21,e22) != X0+ | op2(e21,e22) = op2(e22,e22)+ | op2(e22,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_68501,plain,+ ( op2(e21,e22) = op2(e22,e22)+ | op2(e21,e22) != e20+ | op2(e22,e22) != e20 ),+ inference(instantiation,[status(thm)],[c_59545])).++cnf(c_59568,plain,+ ( e21 != X0+ | e21 = e23+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_68975,plain,+ ( e21 != op2(e22,e20)+ | e21 = e23+ | e23 != op2(e22,e20) ),+ inference(instantiation,[status(thm)],[c_59568])).++cnf(c_61127,plain,+ ( X0 != X1+ | X0 = e23+ | e23 != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_62174,plain,+ ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | X0 = e23+ | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_61127])).++cnf(c_95072,plain,+ ( op2(e21,op2(e22,e22)) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | op2(e21,op2(e22,e22)) = e23+ | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_62174])).++cnf(c_60047,plain,+ ( X0 != X1+ | op2(e23,e20) != X1+ | op2(e23,e20) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_60945,plain,+ ( X0 != e23+ | op2(e23,e20) = X0+ | op2(e23,e20) != e23 ),+ inference(instantiation,[status(thm)],[c_60047])).++cnf(c_102572,plain,+ ( op2(e21,op2(e22,e22)) != e23+ | op2(e23,e20) = op2(e21,op2(e22,e22))+ | op2(e23,e20) != e23 ),+ inference(instantiation,[status(thm)],[c_60945])).++cnf(c_76996,plain,+ ( X0 != op2(e23,op2(e21,e23))+ | X0 = e23+ | e23 != op2(e23,op2(e21,e23)) ),+ inference(instantiation,[status(thm)],[c_61127])).++cnf(c_107767,plain,+ ( op2(e23,e20) != op2(e23,op2(e21,e23))+ | op2(e23,e20) = e23+ | e23 != op2(e23,op2(e21,e23)) ),+ inference(instantiation,[status(thm)],[c_76996])).++cnf(c_138128,plain,+ ( ~ sP4 ),+ inference(global_propositional_subsumption,[status(thm)],[c_240,c_257,c_256,c_255,c_242,c_203,c_201,c_199,c_191,c_188,c_187,c_176,c_155,c_153,c_88,c_87,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_18617,c_18997,c_19346,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_26105,c_26103,c_26603,c_26610,c_27237,c_27945,c_33461,c_33893,c_34088,c_36100,c_38580,c_38896,c_38949,c_39778,c_44248,c_51437,c_68501,c_68975,c_95072,c_102572,c_107767])).++cnf(c_224607,plain,+ ( sP3+ | op2(e22,op2(e23,e22)) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_249,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,c_200,c_199,c_191,c_188,c_187,c_176,c_155,c_153,c_88,c_87,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_18617,c_18997,c_19346,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_23671,c_26105,c_26103,c_26603,c_26610,c_27237,c_27945,c_33461,c_33893,c_34088,c_36100,c_38592,c_38580,c_38896,c_38949,c_39778,c_44248,c_51437,c_68501,c_68975,c_95072,c_102572,c_107767])).++cnf(c_230664,plain,+ ( sP3+ | e22 = op2(e22,op2(e23,e22)) ),+ inference(resolution,[status(thm)],[c_230647,c_224607])).++cnf(c_230674,plain,+ ( sP3+ | X0 != op2(e22,op2(e23,e22))+ | X0 = e22 ),+ inference(resolution,[status(thm)],[c_230664,c_16532])).++cnf(c_241831,plain,+ ( sP3+ | op2(e23,e22) != e22+ | e20 = e22+ | e22 != e22 ),+ inference(resolution,[status(thm)],[c_240234,c_230674])).++cnf(c_241832,plain,+ ( sP3+ | op2(e23,e22) != e22+ | e20 = e22 ),+ inference(equality_resolution_simp,[status(thm)],[c_241831])).++cnf(c_245,plain,+ ( ~ sP3+ | op2(e22,op2(e20,e22)) = e22 ),+ inference(cnf_transformation,[],[f306])).++cnf(c_202,plain,+ ( e20 != e22 ),+ inference(cnf_transformation,[],[f259])).++cnf(c_198,plain,+ ( e22 != e23 ),+ inference(cnf_transformation,[],[f263])).++cnf(c_175,plain,+ ( op2(e21,e22) != op2(e23,e22) ),+ inference(cnf_transformation,[],[f220])).++cnf(c_170,plain,+ ( op2(e21,e23) != op2(e22,e23) ),+ inference(cnf_transformation,[],[f225])).++cnf(c_16704,plain,+ ( op2(e21,e22) != X0+ | op2(e21,e22) = op2(e23,e22)+ | op2(e23,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18971,plain,+ ( op2(e21,e22) != op2(e21,e22)+ | op2(e21,e22) = op2(e23,e22)+ | op2(e23,e22) != op2(e21,e22) ),+ inference(instantiation,[status(thm)],[c_16704])).++cnf(c_17838,plain,+ ( op2(e22,e23) = op2(X0,X1)+ | e22 != X0+ | e23 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_20764,plain,+ ( op2(e22,e23) = op2(e22,X0)+ | e22 != e22+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_17838])).++cnf(c_28198,plain,+ ( op2(e22,e23) = op2(e22,op2(e20,e22))+ | e22 != e22+ | e23 != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_20764])).++cnf(c_29596,plain,+ ( op2(e21,e23) != X0+ | op2(e21,e23) = op2(e22,e23)+ | op2(e22,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_44781,plain,+ ( op2(e21,e23) = op2(e22,e23)+ | op2(e21,e23) != e22+ | op2(e22,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_29596])).++cnf(c_30263,plain,+ ( X0 != X1+ | e22 != X1+ | e22 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_31448,plain,+ ( X0 != e22+ | e22 = X0+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_30263])).++cnf(c_45778,plain,+ ( op2(e22,op2(e20,e22)) != e22+ | e22 = op2(e22,op2(e20,e22))+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_31448])).++cnf(c_60387,plain,+ ( op2(e22,e23) != X0+ | op2(e22,e23) = e22+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_68875,plain,+ ( op2(e22,e23) != op2(e22,op2(e20,e22))+ | op2(e22,e23) = e22+ | e22 != op2(e22,op2(e20,e22)) ),+ inference(instantiation,[status(thm)],[c_60387])).++cnf(c_60199,plain,+ ( X0 != X1+ | e22 != X1+ | e22 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_61358,plain,+ ( X0 != e22+ | e22 = X0+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_60199])).++cnf(c_90241,plain,+ ( op2(e23,e22) != e22+ | e22 = op2(e23,e22)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_61358])).++cnf(c_60029,plain,+ ( X0 != X1+ | op2(e23,e22) != X1+ | op2(e23,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_90235,plain,+ ( X0 != e22+ | op2(e23,e22) = X0+ | op2(e23,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_60029])).++cnf(c_108004,plain,+ ( op2(e21,e22) != e22+ | op2(e23,e22) = op2(e21,e22)+ | op2(e23,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_90235])).++cnf(c_59567,plain,+ ( e22 != X0+ | e22 = e23+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_112575,plain,+ ( e22 != op2(e23,e22)+ | e22 = e23+ | e23 != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_59567])).++cnf(c_273,plain,+ ( e23 = h4(e12) ),+ inference(cnf_transformation,[],[f330])).++cnf(c_224711,plain,+ ( X0 != h4(e12)+ | X0 = e23 ),+ inference(resolution,[status(thm)],[c_16532,c_273])).++cnf(c_224878,plain,+ ( h4(e12) = e23 ),+ inference(resolution,[status(thm)],[c_224711,c_16531])).++cnf(c_224882,plain,+ ( X0 = h4(e12)+ | X0 != e23 ),+ inference(resolution,[status(thm)],[c_224878,c_16532])).++cnf(c_224973,plain,+ ( X0 = X1+ | X0 != h4(e12)+ | X1 != e23 ),+ inference(resolution,[status(thm)],[c_224882,c_16532])).++cnf(c_231004,plain,+ ( X0 != e23+ | e23 = X0 ),+ inference(resolution,[status(thm)],[c_224973,c_273])).++cnf(c_72,plain,+ ( op2(e20,e22) = e23+ | op2(e21,e22) = e23+ | op2(e22,e22) = e23+ | op2(e23,e22) = e23 ),+ inference(cnf_transformation,[],[f147])).++cnf(c_22467,plain,+ ( op2(e20,e21) != e23+ | e23 = op2(e20,e21)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_17257,plain,+ ( op2(e23,e22) = op2(X0,X1)+ | e22 != X1+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_18602,plain,+ ( op2(e23,e22) = op2(X0,e22)+ | e22 != e22+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_17257])).++cnf(c_23417,plain,+ ( op2(e23,e22) = op2(op2(e20,e21),e22)+ | e22 != e22+ | e23 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_18602])).++cnf(c_89,plain,+ ( op2(e20,e20) = e23+ | op2(e20,e21) = e23+ | op2(e20,e22) = e23+ | op2(e20,e23) = e23 ),+ inference(cnf_transformation,[],[f130])).++cnf(c_179,plain,+ ( op2(e20,e22) != op2(e21,e22) ),+ inference(cnf_transformation,[],[f216])).++cnf(c_174,plain,+ ( op2(e22,e22) != op2(e23,e22) ),+ inference(cnf_transformation,[],[f221])).++cnf(c_171,plain,+ ( op2(e20,e23) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f224])).++cnf(c_166,plain,+ ( op2(e20,e20) != op2(e20,e22) ),+ inference(cnf_transformation,[],[f229])).++cnf(c_160,plain,+ ( op2(e21,e20) != op2(e21,e22) ),+ inference(cnf_transformation,[],[f235])).++cnf(c_158,plain,+ ( op2(e21,e21) != op2(e21,e22) ),+ inference(cnf_transformation,[],[f237])).++cnf(c_90,plain,+ ( op2(e20,e20) = e22+ | op2(e21,e20) = e22+ | op2(e22,e20) = e22+ | op2(e23,e20) = e22 ),+ inference(cnf_transformation,[],[f129])).++cnf(c_71,plain,+ ( e20 = op2(e23,e20)+ | e20 = op2(e23,e21)+ | e20 = op2(e23,e22)+ | e20 = op2(e23,e23) ),+ inference(cnf_transformation,[],[f148])).++cnf(c_68,plain,+ ( op2(e20,e23) = e21+ | op2(e21,e23) = e21+ | op2(e22,e23) = e21+ | op2(e23,e23) = e21 ),+ inference(cnf_transformation,[],[f151])).++cnf(c_67,plain,+ ( op2(e23,e20) = e22+ | op2(e23,e21) = e22+ | op2(e23,e22) = e22+ | op2(e23,e23) = e22 ),+ inference(cnf_transformation,[],[f152])).++cnf(c_57,plain,+ ( op2(e21,e22) = e21+ | op2(e21,e22) = e22+ | op2(e21,e22) = e23+ | e20 = op2(e21,e22) ),+ inference(cnf_transformation,[],[f114])).++cnf(c_250,plain,+ ( sP3+ | sP4+ | sP5+ | op2(e21,op2(e23,e21)) = e21 ),+ inference(cnf_transformation,[],[f309])).++cnf(c_244,plain,+ ( ~ sP3+ | op2(e23,op2(e20,e23)) = e23 ),+ inference(cnf_transformation,[],[f307])).++cnf(c_1865,plain,+ ( sP4+ | sP5+ | op2(e21,op2(e23,e21)) = e21+ | op2(e23,op2(e20,e23)) = e23 ),+ inference(resolution,[status(thm)],[c_250,c_244])).++cnf(c_248,plain,+ ( sP3+ | sP4+ | sP5+ | op2(e23,op2(e23,e23)) = e23 ),+ inference(cnf_transformation,[],[f311])).++cnf(c_1969,plain,+ ( sP4+ | sP5+ | op2(e23,op2(e20,e23)) = e23+ | op2(e23,op2(e23,e23)) = e23 ),+ inference(resolution,[status(thm)],[c_248,c_244])).++cnf(c_17254,plain,+ ( op2(e23,e22) = op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17556,plain,+ ( e20 != op2(e21,e23)+ | e20 = e21+ | e21 != op2(e21,e23) ),+ inference(instantiation,[status(thm)],[c_16755])).++cnf(c_16674,plain,+ ( op2(e21,e20) != X0+ | op2(e21,e20) = op2(e21,e22)+ | op2(e21,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17770,plain,+ ( op2(e21,e20) = op2(e21,e22)+ | op2(e21,e20) != e23+ | op2(e21,e22) != e23 ),+ inference(instantiation,[status(thm)],[c_16674])).++cnf(c_16696,plain,+ ( op2(e20,e23) != X0+ | op2(e20,e23) = op2(e23,e23)+ | op2(e23,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17853,plain,+ ( op2(e20,e23) = op2(e23,e23)+ | op2(e20,e23) != e23+ | op2(e23,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_16696])).++cnf(c_16712,plain,+ ( op2(e20,e22) != X0+ | op2(e20,e22) = op2(e21,e22)+ | op2(e21,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17931,plain,+ ( op2(e20,e22) = op2(e21,e22)+ | op2(e20,e22) != e21+ | op2(e21,e22) != e21 ),+ inference(instantiation,[status(thm)],[c_16712])).++cnf(c_18615,plain,+ ( op2(e20,e23) != e23+ | e23 = op2(e20,e23)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_18616,plain,+ ( op2(e23,op2(e23,e23)) != e23+ | e23 = op2(e23,op2(e23,e23))+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_18984,plain,+ ( op2(e21,e22) = op2(e23,e22)+ | op2(e21,e22) != e22+ | op2(e23,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_16704])).++cnf(c_19246,plain,+ ( op2(e23,op2(e20,e23)) != e23+ | e23 = op2(e23,op2(e20,e23))+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_17255,plain,+ ( X0 != X1+ | op2(e23,e22) != X1+ | op2(e23,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18388,plain,+ ( X0 != op2(e23,e22)+ | op2(e23,e22) = X0+ | op2(e23,e22) != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_17255])).++cnf(c_20774,plain,+ ( op2(e23,e22) != op2(e23,e22)+ | op2(e23,e22) = e20+ | e20 != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_18388])).++cnf(c_18429,plain,+ ( op2(e23,e20) = op2(X0,op2(e23,e23))+ | e20 != op2(e23,e23)+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_17279])).++cnf(c_20913,plain,+ ( op2(e23,e20) = op2(e23,op2(e23,e23))+ | e20 != op2(e23,e23)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_18429])).++cnf(c_16753,plain,+ ( e20 != X0+ | e20 = e22+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_22568,plain,+ ( e20 != op2(e23,e20)+ | e20 = e22+ | e22 != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_16753])).++cnf(c_22593,plain,+ ( e20 != op2(e20,e23)+ | e20 = e23+ | e23 != op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_16751])).++cnf(c_23145,plain,+ ( op2(e23,e23) != e22+ | e22 = op2(e23,e23)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_19519])).++cnf(c_23147,plain,+ ( op2(e21,e20) != e22+ | e22 = op2(e21,e20)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_19519])).++cnf(c_23297,plain,+ ( op2(e23,e20) != e22+ | e22 = op2(e23,e20)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_19519])).++cnf(c_16686,plain,+ ( op2(e20,e20) != X0+ | op2(e20,e20) = op2(e20,e22)+ | op2(e20,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_25031,plain,+ ( op2(e20,e20) = op2(e20,e22)+ | op2(e20,e20) != e22+ | op2(e20,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_16686])).++cnf(c_16702,plain,+ ( op2(e22,e22) != X0+ | op2(e22,e22) = op2(e23,e22)+ | op2(e23,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_25989,plain,+ ( op2(e22,e22) = op2(e23,e22)+ | op2(e22,e22) != e20+ | op2(e23,e22) != e20 ),+ inference(instantiation,[status(thm)],[c_16702])).++cnf(c_26605,plain,+ ( op2(e20,e23) != e21+ | e21 = op2(e20,e23)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_19525])).++cnf(c_27239,plain,+ ( op2(e21,op2(e23,e21)) != e21+ | op2(e22,e20) = op2(e21,op2(e23,e21))+ | op2(e22,e20) != e21 ),+ inference(instantiation,[status(thm)],[c_18492])).++cnf(c_19985,plain,+ ( op2(e21,e20) = op2(X0,op2(e23,e21))+ | e20 != op2(e23,e21)+ | e21 != X0 ),+ inference(instantiation,[status(thm)],[c_17767])).++cnf(c_27939,plain,+ ( op2(e21,e20) = op2(e21,op2(e23,e21))+ | e20 != op2(e23,e21)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_19985])).++cnf(c_17749,plain,+ ( X0 != X1+ | op2(e21,e21) != X1+ | op2(e21,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_22443,plain,+ ( X0 != e21+ | op2(e21,e21) = X0+ | op2(e21,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_17749])).++cnf(c_29330,plain,+ ( op2(e21,op2(e23,e21)) != e21+ | op2(e21,e21) = op2(e21,op2(e23,e21))+ | op2(e21,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_22443])).++cnf(c_35201,plain,+ ( op2(e23,e23) != e21+ | e21 = op2(e23,e23)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_31484])).++cnf(c_38851,plain,+ ( op2(e21,e20) != op2(e21,op2(e23,e21))+ | op2(e21,e20) = op2(e22,e20)+ | op2(e22,e20) != op2(e21,op2(e23,e21)) ),+ inference(instantiation,[status(thm)],[c_29614])).++cnf(c_40255,plain,+ ( op2(e23,e23) = op2(e23,op2(e20,e23))+ | e23 != op2(e20,e23)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_44601,plain,+ ( op2(e23,e21) != e22+ | e22 = op2(e23,e21)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_31448])).++cnf(c_49003,plain,+ ( op2(e22,e20) != e22+ | e22 = op2(e22,e20)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_31448])).++cnf(c_60364,plain,+ ( op2(e23,e23) != X0+ | op2(e23,e23) = e23+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_62013,plain,+ ( op2(e23,e23) != op2(e23,op2(e20,e23))+ | op2(e23,e23) = e23+ | e23 != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_60364])).++cnf(c_60103,plain,+ ( op2(e21,e22) = op2(X0,X1)+ | e21 != X0+ | e22 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_61111,plain,+ ( op2(e21,e22) = op2(e21,X0)+ | e21 != e21+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_60103])).++cnf(c_68690,plain,+ ( op2(e21,e22) = op2(e21,op2(e23,e21))+ | e21 != e21+ | e22 != op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_61111])).++cnf(c_59569,plain,+ ( e21 != X0+ | e21 = e22+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_68974,plain,+ ( e21 != op2(e22,e20)+ | e21 = e22+ | e22 != op2(e22,e20) ),+ inference(instantiation,[status(thm)],[c_59569])).++cnf(c_69063,plain,+ ( e21 != op2(e20,e23)+ | e21 = e23+ | e23 != op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_59568])).++cnf(c_59527,plain,+ ( op2(e21,e21) != X0+ | op2(e21,e21) = op2(e21,e22)+ | op2(e21,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_74870,plain,+ ( op2(e21,e21) != op2(e21,op2(e23,e21))+ | op2(e21,e21) = op2(e21,e22)+ | op2(e21,e22) != op2(e21,op2(e23,e21)) ),+ inference(instantiation,[status(thm)],[c_59527])).++cnf(c_64639,plain,+ ( X0 != op2(e23,op2(e23,e23))+ | op2(e23,e20) = X0+ | op2(e23,e20) != op2(e23,op2(e23,e23)) ),+ inference(instantiation,[status(thm)],[c_60047])).++cnf(c_76914,plain,+ ( op2(e23,e20) != op2(e23,op2(e23,e23))+ | op2(e23,e20) = e23+ | e23 != op2(e23,op2(e23,e23)) ),+ inference(instantiation,[status(thm)],[c_64639])).++cnf(c_60203,plain,+ ( X0 != X1+ | e21 != X1+ | e21 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_61363,plain,+ ( X0 != e21+ | e21 = X0+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_60203])).++cnf(c_77143,plain,+ ( op2(e21,e23) != e21+ | e21 = op2(e21,e23)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_61363])).++cnf(c_112325,plain,+ ( e22 != op2(e21,e20)+ | e22 = e23+ | e23 != op2(e21,e20) ),+ inference(instantiation,[status(thm)],[c_59567])).++cnf(c_112444,plain,+ ( e21 != op2(e23,e23)+ | e21 = e22+ | e22 != op2(e23,e23) ),+ inference(instantiation,[status(thm)],[c_59569])).++cnf(c_61,plain,+ ( op2(e20,e22) = e21+ | op2(e20,e22) = e22+ | op2(e20,e22) = e23+ | e20 = op2(e20,e22) ),+ inference(cnf_transformation,[],[f110])).++cnf(c_178,plain,+ ( op2(e20,e22) != op2(e22,e22) ),+ inference(cnf_transformation,[],[f217])).++cnf(c_17790,plain,+ ( op2(e20,e22) = op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_30557,plain,+ ( X0 != X1+ | op2(e20,e22) != X1+ | op2(e20,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_31597,plain,+ ( X0 != op2(e20,e22)+ | op2(e20,e22) = X0+ | op2(e20,e22) != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_30557])).++cnf(c_33694,plain,+ ( op2(e20,e22) != op2(e20,e22)+ | op2(e20,e22) = e20+ | e20 != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_31597])).++cnf(c_29604,plain,+ ( op2(e20,e22) != X0+ | op2(e20,e22) = op2(e22,e22)+ | op2(e22,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_39126,plain,+ ( op2(e20,e22) = op2(e22,e22)+ | op2(e20,e22) != e20+ | op2(e22,e22) != e20 ),+ inference(instantiation,[status(thm)],[c_29604])).++cnf(c_138056,plain,+ ( op2(e20,e22) = e23+ | op2(e20,e22) = e22+ | op2(e20,e22) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_61,c_257,c_178,c_17300,c_17790,c_21017,c_33694,c_39126])).++cnf(c_138057,plain,+ ( op2(e20,e22) = e21+ | op2(e20,e22) = e22+ | op2(e20,e22) = e23 ),+ inference(renaming,[status(thm)],[c_138056])).++cnf(c_70,plain,+ ( e20 = op2(e20,e23)+ | e20 = op2(e21,e23)+ | e20 = op2(e22,e23)+ | e20 = op2(e23,e23) ),+ inference(cnf_transformation,[],[f149])).++cnf(c_189,plain,+ ( op2(e20,e20) != op2(e23,e20) ),+ inference(cnf_transformation,[],[f206])).++cnf(c_185,plain,+ ( op2(e20,e21) != op2(e21,e21) ),+ inference(cnf_transformation,[],[f210])).++cnf(c_181,plain,+ ( op2(e21,e21) != op2(e23,e21) ),+ inference(cnf_transformation,[],[f214])).++cnf(c_95,plain,+ ( e20 = op2(e20,e20)+ | e20 = op2(e20,e21)+ | e20 = op2(e20,e22)+ | e20 = op2(e20,e23) ),+ inference(cnf_transformation,[],[f124])).++cnf(c_17261,plain,+ ( op2(e23,e21) = op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17276,plain,+ ( op2(e23,e20) = op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17748,plain,+ ( op2(e21,e21) = op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17800,plain,+ ( op2(e20,e21) = op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17816,plain,+ ( op2(e20,e20) = op2(e20,e20) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17262,plain,+ ( X0 != X1+ | op2(e23,e21) != X1+ | op2(e23,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18404,plain,+ ( X0 != op2(e23,e21)+ | op2(e23,e21) = X0+ | op2(e23,e21) != op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_17262])).++cnf(c_20804,plain,+ ( op2(e23,e21) != op2(e23,e21)+ | op2(e23,e21) = e20+ | e20 != op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_18404])).++cnf(c_17277,plain,+ ( X0 != X1+ | op2(e23,e20) != X1+ | op2(e23,e20) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18423,plain,+ ( X0 != op2(e23,e20)+ | op2(e23,e20) = X0+ | op2(e23,e20) != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_17277])).++cnf(c_22582,plain,+ ( op2(e23,e20) != op2(e23,e20)+ | op2(e23,e20) = e20+ | e20 != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_18423])).++cnf(c_17817,plain,+ ( X0 != X1+ | op2(e20,e20) != X1+ | op2(e20,e20) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_20519,plain,+ ( X0 != op2(e20,e20)+ | op2(e20,e20) = X0+ | op2(e20,e20) != op2(e20,e20) ),+ inference(instantiation,[status(thm)],[c_17817])).++cnf(c_28292,plain,+ ( op2(e20,e20) != op2(e20,e20)+ | op2(e20,e20) = e20+ | e20 != op2(e20,e20) ),+ inference(instantiation,[status(thm)],[c_20519])).++cnf(c_30184,plain,+ ( X0 != X1+ | op2(e21,e21) != X1+ | op2(e21,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_31157,plain,+ ( X0 != op2(e21,e21)+ | op2(e21,e21) = X0+ | op2(e21,e21) != op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_30184])).++cnf(c_33412,plain,+ ( op2(e21,e21) != op2(e21,e21)+ | op2(e21,e21) = e20+ | e20 != op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_31157])).++cnf(c_29607,plain,+ ( op2(e21,e21) != X0+ | op2(e21,e21) = op2(e23,e21)+ | op2(e23,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_38806,plain,+ ( op2(e21,e21) = op2(e23,e21)+ | op2(e21,e21) != e20+ | op2(e23,e21) != e20 ),+ inference(instantiation,[status(thm)],[c_29607])).++cnf(c_30564,plain,+ ( X0 != X1+ | op2(e20,e21) != X1+ | op2(e20,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_31689,plain,+ ( X0 != op2(e20,e21)+ | op2(e20,e21) = X0+ | op2(e20,e21) != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_30564])).++cnf(c_44653,plain,+ ( op2(e20,e21) != op2(e20,e21)+ | op2(e20,e21) = e20+ | e20 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_31689])).++cnf(c_59554,plain,+ ( op2(e20,e21) != X0+ | op2(e20,e21) = op2(e21,e21)+ | op2(e21,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_69665,plain,+ ( op2(e20,e21) = op2(e21,e21)+ | op2(e20,e21) != e20+ | op2(e21,e21) != e20 ),+ inference(instantiation,[status(thm)],[c_59554])).++cnf(c_59558,plain,+ ( op2(e20,e20) != X0+ | op2(e20,e20) = op2(e23,e20)+ | op2(e23,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_88488,plain,+ ( op2(e20,e20) = op2(e23,e20)+ | op2(e20,e20) != e20+ | op2(e23,e20) != e20 ),+ inference(instantiation,[status(thm)],[c_59558])).++cnf(c_138068,plain,+ ( e20 = op2(e21,e23)+ | e20 = op2(e20,e23)+ | e20 = op2(e23,e23) ),+ inference(global_propositional_subsumption,[status(thm)],[c_70,c_257,c_256,c_255,c_203,c_201,c_199,c_191,c_189,c_187,c_185,c_181,c_178,c_176,c_174,c_155,c_153,c_95,c_88,c_87,c_77,c_71,c_16905,c_17254,c_17261,c_17276,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_17748,c_17790,c_17800,c_17816,c_18617,c_18997,c_19346,c_20774,c_20804,c_21017,c_21159,c_21422,c_22510,c_22582,c_25989,c_26105,c_26103,c_26603,c_26610,c_27945,c_28292,c_33412,c_33694,c_33893,c_34088,c_36100,c_38580,c_38806,c_38896,c_39126,c_39778,c_44248,c_44653,c_51437,c_68501,c_68975,c_69665,c_88488,c_95072,c_102572])).++cnf(c_138069,plain,+ ( e20 = op2(e20,e23)+ | e20 = op2(e21,e23)+ | e20 = op2(e23,e23) ),+ inference(renaming,[status(thm)],[c_138068])).++cnf(c_85,plain,+ ( op2(e21,e20) = e21+ | op2(e21,e21) = e21+ | op2(e21,e22) = e21+ | op2(e21,e23) = e21 ),+ inference(cnf_transformation,[],[f134])).++cnf(c_16730,plain,+ ( op2(e21,e20) != X0+ | op2(e21,e20) = op2(e22,e20)+ | op2(e22,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17998,plain,+ ( op2(e21,e20) = op2(e22,e20)+ | op2(e21,e20) != e21+ | op2(e22,e20) != e21 ),+ inference(instantiation,[status(thm)],[c_16730])).++cnf(c_138092,plain,+ ( op2(e21,e21) = e21+ | op2(e21,e22) = e21+ | op2(e21,e23) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_85,c_257,c_256,c_203,c_188,c_155,c_153,c_77,c_17349,c_17350,c_17427,c_17431,c_17554,c_17998,c_21159,c_21422,c_26105,c_26103,c_34088,c_36100])).++cnf(c_138100,plain,+ ( op2(e20,e21) = e23+ | op2(e20,e22) = e23+ | op2(e20,e23) = e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_89,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_176,c_175,c_174,c_171,c_166,c_160,c_158,c_155,c_153,c_90,c_88,c_87,c_77,c_71,c_68,c_67,c_57,c_1865,c_1969,c_16905,c_17254,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17740,c_17770,c_17853,c_17931,c_18615,c_18616,c_18617,c_18984,c_18997,c_19246,c_19346,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_29330,c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39778,c_40255,c_44248,c_44601,c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,c_68974,c_69063,c_74870,c_76914,c_77143,c_95072,c_102572,c_107767,c_112325,c_112444,c_138057,c_138069,c_138092])).++cnf(c_138217,plain,+ ( op2(e20,e21) != X0+ | op2(e20,e21) = op2(e20,e23)+ | op2(e20,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_163,plain,+ ( op2(e20,e21) != op2(e20,e23) ),+ inference(cnf_transformation,[],[f232])).++cnf(c_16680,plain,+ ( op2(e20,e21) != X0+ | op2(e20,e21) = op2(e20,e23)+ | op2(e20,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139503,plain,+ ( op2(e20,e21) != X0+ | op2(e20,e23) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138217,c_163,c_16680])).++cnf(c_139506,plain,+ ( op2(e20,e21) != e23+ | op2(e20,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_139503])).++cnf(c_162,plain,+ ( op2(e20,e22) != op2(e20,e23) ),+ inference(cnf_transformation,[],[f233])).++cnf(c_16678,plain,+ ( op2(e20,e22) != X0+ | op2(e20,e22) = op2(e20,e23)+ | op2(e20,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17786,plain,+ ( op2(e20,e22) = op2(e20,e23)+ | op2(e20,e22) != e23+ | op2(e20,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_16678])).++cnf(c_17799,plain,+ ( op2(e20,e21) != op2(e20,e21)+ | op2(e20,e21) = op2(e20,e23)+ | op2(e20,e23) != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_16680])).++cnf(c_60506,plain,+ ( X0 != X1+ | op2(e20,e23) != X1+ | op2(e20,e23) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_77156,plain,+ ( X0 != e23+ | op2(e20,e23) = X0+ | op2(e20,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_60506])).++cnf(c_115060,plain,+ ( op2(e20,e21) != e23+ | op2(e20,e23) = op2(e20,e21)+ | op2(e20,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_77156])).++cnf(c_140675,plain,+ ( op2(e20,e23) != e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_139506,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_176,c_175,c_174,c_171,c_166,c_163,c_162,c_160,c_158,c_155,c_153,c_90,c_89,c_88,c_87,c_77,c_71,c_68,c_67,c_57,c_1865,c_1969,c_16905,c_17254,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17740,c_17770,c_17786,c_17799,c_17800,c_17853,c_17931,c_18615,c_18616,c_18617,c_18984,c_18997,c_19246,c_19346,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_29330,c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39778,c_40255,c_44248,c_44601,c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,c_68974,c_69063,c_74870,c_76914,c_77143,c_95072,c_102572,c_107767,c_112325,c_112444,c_115060,c_138057,c_138069,c_138092])).++cnf(c_140296,plain,+ ( X0 != X1+ | X0 = e23+ | e23 != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_141754,plain,+ ( X0 != op2(e23,op2(e20,e23))+ | X0 = e23+ | e23 != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_140296])).++cnf(c_148768,plain,+ ( op2(e23,e22) != op2(e23,op2(e20,e23))+ | op2(e23,e22) = e23+ | e23 != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_141754])).++cnf(c_153047,plain,+ ( X0 != X1+ | op2(e23,op2(e20,e23)) != X1+ | op2(e23,op2(e20,e23)) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_166448,plain,+ ( X0 != e23+ | op2(e23,op2(e20,e23)) = X0+ | op2(e23,op2(e20,e23)) != e23 ),+ inference(instantiation,[status(thm)],[c_153047])).++cnf(c_181809,plain,+ ( op2(e20,e21) != e23+ | op2(e23,op2(e20,e23)) = op2(e20,e21)+ | op2(e23,op2(e20,e23)) != e23 ),+ inference(instantiation,[status(thm)],[c_166448])).++cnf(c_139509,plain,+ ( X0 != X1+ | op2(e20,e21) != X1+ | op2(e20,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_140941,plain,+ ( X0 != e23+ | op2(e20,e21) = X0+ | op2(e20,e21) != e23 ),+ inference(instantiation,[status(thm)],[c_139509])).++cnf(c_143342,plain,+ ( op2(e20,e21) = op2(e23,op2(e20,e23))+ | op2(e20,e21) != e23+ | op2(e23,op2(e20,e23)) != e23 ),+ inference(instantiation,[status(thm)],[c_140941])).++cnf(c_184,plain,+ ( op2(e20,e21) != op2(e22,e21) ),+ inference(cnf_transformation,[],[f211])).++cnf(c_183,plain,+ ( op2(e20,e21) != op2(e23,e21) ),+ inference(cnf_transformation,[],[f212])).++cnf(c_180,plain,+ ( op2(e22,e21) != op2(e23,e21) ),+ inference(cnf_transformation,[],[f215])).++cnf(c_177,plain,+ ( op2(e20,e22) != op2(e23,e22) ),+ inference(cnf_transformation,[],[f218])).++cnf(c_164,plain,+ ( op2(e20,e21) != op2(e20,e22) ),+ inference(cnf_transformation,[],[f231])).++cnf(c_151,plain,+ ( op2(e22,e21) != op2(e22,e23) ),+ inference(cnf_transformation,[],[f244])).++cnf(c_146,plain,+ ( op2(e23,e21) != op2(e23,e22) ),+ inference(cnf_transformation,[],[f249])).++cnf(c_50,plain,+ ( op2(e23,e21) = e21+ | op2(e23,e21) = e22+ | op2(e23,e21) = e23+ | e20 = op2(e23,e21) ),+ inference(cnf_transformation,[],[f121])).++cnf(c_1917,plain,+ ( sP4+ | sP5+ | op2(e22,op2(e23,e22)) = e22+ | op2(e23,op2(e20,e23)) = e23 ),+ inference(resolution,[status(thm)],[c_249,c_244])).++cnf(c_16682,plain,+ ( op2(e20,e21) != X0+ | op2(e20,e21) = op2(e20,e22)+ | op2(e20,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17806,plain,+ ( op2(e20,e21) = op2(e20,e22)+ | op2(e20,e21) != e23+ | op2(e20,e22) != e23 ),+ inference(instantiation,[status(thm)],[c_16682])).++cnf(c_17835,plain,+ ( op2(e22,e23) = op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_16708,plain,+ ( op2(e20,e22) != X0+ | op2(e20,e22) = op2(e23,e22)+ | op2(e23,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17914,plain,+ ( op2(e20,e22) = op2(e23,e22)+ | op2(e20,e22) != e22+ | op2(e23,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_16708])).++cnf(c_16720,plain,+ ( op2(e20,e21) != X0+ | op2(e20,e21) = op2(e23,e21)+ | op2(e23,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17955,plain,+ ( op2(e20,e21) = op2(e23,e21)+ | op2(e20,e21) != e23+ | op2(e23,e21) != e23 ),+ inference(instantiation,[status(thm)],[c_16720])).++cnf(c_16722,plain,+ ( op2(e20,e21) != X0+ | op2(e20,e21) = op2(e22,e21)+ | op2(e22,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17963,plain,+ ( op2(e20,e21) = op2(e22,e21)+ | op2(e20,e21) != e23+ | op2(e22,e21) != e23 ),+ inference(instantiation,[status(thm)],[c_16722])).++cnf(c_16656,plain,+ ( op2(e22,e21) != X0+ | op2(e22,e21) = op2(e22,e23)+ | op2(e22,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18943,plain,+ ( op2(e22,e21) = op2(e22,e23)+ | op2(e22,e21) != e22+ | op2(e22,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_16656])).++cnf(c_16714,plain,+ ( op2(e22,e21) != X0+ | op2(e22,e21) = op2(e23,e21)+ | op2(e23,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18941,plain,+ ( op2(e22,e21) = op2(e23,e21)+ | op2(e22,e21) != e22+ | op2(e23,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_16714])).++cnf(c_16646,plain,+ ( op2(e23,e21) != X0+ | op2(e23,e21) = op2(e23,e22)+ | op2(e23,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_22697,plain,+ ( op2(e23,e21) = op2(e23,e22)+ | op2(e23,e21) != e21+ | op2(e23,e22) != e21 ),+ inference(instantiation,[status(thm)],[c_16646])).++cnf(c_33326,plain,+ ( op2(e22,op2(e23,e22)) != e22+ | e22 = op2(e22,op2(e23,e22))+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_31448])).++cnf(c_74808,plain,+ ( op2(e22,e23) != op2(e22,op2(e23,e22))+ | op2(e22,e23) = e22+ | e22 != op2(e22,op2(e23,e22)) ),+ inference(instantiation,[status(thm)],[c_60387])).++cnf(c_64704,plain,+ ( X0 != e22+ | X1 != e23+ | op2(X0,X1) = op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_70858,plain,+ ( X0 != e23+ | op2(e22,X0) = op2(e22,e23)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_64704])).++cnf(c_107860,plain,+ ( op2(e22,op2(e23,e22)) = op2(e22,e23)+ | op2(e23,e22) != e23+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_70858])).++cnf(c_60459,plain,+ ( X0 != X1+ | op2(e20,e21) != X1+ | op2(e20,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_115078,plain,+ ( X0 != e23+ | op2(e20,e21) = X0+ | op2(e20,e21) != e23 ),+ inference(instantiation,[status(thm)],[c_60459])).++cnf(c_127392,plain,+ ( op2(e20,e21) = op2(e23,op2(e20,e23))+ | op2(e20,e21) != e23+ | op2(e23,op2(e20,e23)) != e23 ),+ inference(instantiation,[status(thm)],[c_115078])).++cnf(c_60488,plain,+ ( X0 != X1+ | op2(e22,e23) != X1+ | op2(e22,e23) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_62238,plain,+ ( X0 != op2(e22,e23)+ | op2(e22,e23) = X0+ | op2(e22,e23) != op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_60488])).++cnf(c_129125,plain,+ ( op2(e22,op2(e23,e22)) != op2(e22,e23)+ | op2(e22,e23) = op2(e22,op2(e23,e22))+ | op2(e22,e23) != op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_62238])).++cnf(c_49,plain,+ ( op2(e23,e22) = e21+ | op2(e23,e22) = e22+ | op2(e23,e22) = e23+ | e20 = op2(e23,e22) ),+ inference(cnf_transformation,[],[f122])).++cnf(c_138038,plain,+ ( op2(e23,e22) = e23+ | op2(e23,e22) = e22+ | op2(e23,e22) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_49,c_257,c_174,c_17254,c_17300,c_20774,c_21017,c_25989])).++cnf(c_138039,plain,+ ( op2(e23,e22) = e21+ | op2(e23,e22) = e22+ | op2(e23,e22) = e23 ),+ inference(renaming,[status(thm)],[c_138038])).++cnf(c_54,plain,+ ( op2(e22,e21) = e21+ | op2(e22,e21) = e22+ | op2(e22,e21) = e23+ | e20 = op2(e22,e21) ),+ inference(cnf_transformation,[],[f117])).++cnf(c_152,plain,+ ( op2(e22,e21) != op2(e22,e22) ),+ inference(cnf_transformation,[],[f243])).++cnf(c_17335,plain,+ ( op2(e22,e21) = op2(e22,e21) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_18479,plain,+ ( X0 != op2(e22,e21)+ | op2(e22,e21) = X0+ | op2(e22,e21) != op2(e22,e21) ),+ inference(instantiation,[status(thm)],[c_17336])).++cnf(c_21045,plain,+ ( op2(e22,e21) != op2(e22,e21)+ | op2(e22,e21) = e20+ | e20 != op2(e22,e21) ),+ inference(instantiation,[status(thm)],[c_18479])).++cnf(c_59521,plain,+ ( op2(e22,e21) != X0+ | op2(e22,e21) = op2(e22,e22)+ | op2(e22,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_68261,plain,+ ( op2(e22,e21) = op2(e22,e22)+ | op2(e22,e21) != e20+ | op2(e22,e22) != e20 ),+ inference(instantiation,[status(thm)],[c_59521])).++cnf(c_138044,plain,+ ( op2(e22,e21) = e23+ | op2(e22,e21) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_54,c_257,c_256,c_155,c_152,c_17300,c_17335,c_17427,c_21017,c_21045,c_21159,c_21422,c_26105,c_68261])).++cnf(c_138045,plain,+ ( op2(e22,e21) = e22+ | op2(e22,e21) = e23 ),+ inference(renaming,[status(thm)],[c_138044])).++cnf(c_138050,plain,+ ( op2(e21,e22) = e21+ | op2(e21,e22) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_57,c_257,c_256,c_255,c_203,c_199,c_191,c_187,c_176,c_160,c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_17770,c_18617,c_19346,c_21017,c_21159,c_21422,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_44248,c_51437,c_68501,c_68975,c_95072,c_102572])).++cnf(c_138233,plain,+ ( op2(e20,e22) != X0+ | op2(e20,e22) = op2(e21,e22)+ | op2(e21,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139655,plain,+ ( op2(e20,e22) != X0+ | op2(e21,e22) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138233,c_179,c_16712])).++cnf(c_139658,plain,+ ( op2(e20,e22) != e21+ | op2(e21,e22) != e21 ),+ inference(instantiation,[status(thm)],[c_139655])).++cnf(c_149956,plain,+ ( op2(e20,e21) != e23+ | op2(e20,e21) = op2(e23,op2(e20,e23)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_143342,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,c_200,c_199,c_191,c_188,c_187,c_184,c_183,c_180,c_178,c_177,c_176,c_175,c_164,c_155,c_153,c_152,c_151,c_146,c_88,c_87,c_77,c_61,c_54,c_50,c_1865,c_1917,c_16905,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_17790,c_17806,c_17835,c_17914,c_17955,c_17963,c_18617,c_18943,c_18941,c_18971,c_18997,c_19346,c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,c_22510,c_22697,c_23671,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,c_27945,c_33326,c_33461,c_33694,c_33893,c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_44248,c_51437,c_68261,c_68501,c_68975,c_74808,c_95072,c_102572,c_107767,c_107860,c_108004,c_127392,c_129125,c_138039,c_138050,c_139658])).++cnf(c_149957,plain,+ ( op2(e20,e21) = op2(e23,op2(e20,e23))+ | op2(e20,e21) != e23 ),+ inference(renaming,[status(thm)],[c_149956])).++cnf(c_166462,plain,+ ( X0 != op2(e23,op2(e20,e23))+ | op2(e23,op2(e20,e23)) = X0+ | op2(e23,op2(e20,e23)) != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_153047])).++cnf(c_17857,plain,+ ( op2(e20,e23) = op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_40811,plain,+ ( X0 != op2(e20,e23)+ | X1 != e23+ | op2(X1,X0) = op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_51993,plain,+ ( X0 != op2(e20,e23)+ | op2(e23,X0) = op2(e23,op2(e20,e23))+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_40811])).++cnf(c_55999,plain,+ ( op2(e20,e23) != op2(e20,e23)+ | op2(e23,op2(e20,e23)) = op2(e23,op2(e20,e23))+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_51993])).++cnf(c_181827,plain,+ ( op2(e23,op2(e20,e23)) = X0+ | X0 != op2(e23,op2(e20,e23)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_166462,c_16905,c_17857,c_55999])).++cnf(c_181828,plain,+ ( X0 != op2(e23,op2(e20,e23))+ | op2(e23,op2(e20,e23)) = X0 ),+ inference(renaming,[status(thm)],[c_181827])).++cnf(c_181850,plain,+ ( op2(e20,e21) != op2(e23,op2(e20,e23))+ | op2(e23,op2(e20,e23)) = op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_181828])).++cnf(c_212875,plain,+ ( op2(e23,op2(e20,e23)) = op2(e20,e21)+ | op2(e20,e21) != e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_181809,c_149957,c_181850])).++cnf(c_212876,plain,+ ( op2(e20,e21) != e23+ | op2(e23,op2(e20,e23)) = op2(e20,e21) ),+ inference(renaming,[status(thm)],[c_212875])).++cnf(c_138390,plain,+ ( X0 != X1+ | e23 != X1+ | e23 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_141652,plain,+ ( X0 != op2(e20,e21)+ | e23 = X0+ | e23 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_138390])).++cnf(c_212882,plain,+ ( op2(e23,op2(e20,e23)) != op2(e20,e21)+ | e23 != op2(e20,e21)+ | e23 = op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_141652])).++cnf(c_153049,plain,+ ( op2(e20,e23) != X0+ | op2(e23,op2(e20,e23)) = op2(X1,X0)+ | e23 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_166487,plain,+ ( op2(e20,e23) != X0+ | op2(e23,op2(e20,e23)) = op2(op2(e20,e21),X0)+ | e23 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_153049])).++cnf(c_182201,plain,+ ( op2(e20,e23) != e22+ | op2(e23,op2(e20,e23)) = op2(op2(e20,e21),e22)+ | e23 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_166487])).++cnf(c_173,plain,+ ( op2(e20,e23) != op2(e21,e23) ),+ inference(cnf_transformation,[],[f222])).++cnf(c_60,plain,+ ( op2(e20,e23) = e21+ | op2(e20,e23) = e22+ | op2(e20,e23) = e23+ | e20 = op2(e20,e23) ),+ inference(cnf_transformation,[],[f111])).++cnf(c_16700,plain,+ ( op2(e20,e23) != X0+ | op2(e20,e23) = op2(e21,e23)+ | op2(e21,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17890,plain,+ ( op2(e20,e23) = op2(e21,e23)+ | op2(e20,e23) != e21+ | op2(e21,e23) != e21 ),+ inference(instantiation,[status(thm)],[c_16700])).++cnf(c_17845,plain,+ ( op2(e21,e23) = op2(X0,X1)+ | e21 != X0+ | e23 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_21078,plain,+ ( op2(e21,e23) = op2(e21,X0)+ | e21 != e21+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_17845])).++cnf(c_28329,plain,+ ( op2(e21,e23) = op2(e21,op2(e20,e21))+ | e21 != e21+ | e23 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_21078])).++cnf(c_30109,plain,+ ( op2(e23,e20) = op2(X0,X1)+ | e20 != X1+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_31072,plain,+ ( op2(e23,e20) = op2(X0,op2(e20,e23))+ | e20 != op2(e20,e23)+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_30109])).++cnf(c_33231,plain,+ ( op2(e23,e20) = op2(e23,op2(e20,e23))+ | e20 != op2(e20,e23)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_31072])).++cnf(c_30107,plain,+ ( X0 != X1+ | op2(e23,e20) != X1+ | op2(e23,e20) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_34903,plain,+ ( X0 != op2(e23,op2(e20,e23))+ | op2(e23,e20) = X0+ | op2(e23,e20) != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_30107])).++cnf(c_48118,plain,+ ( op2(e23,e20) != op2(e23,op2(e20,e23))+ | op2(e23,e20) = e23+ | e23 != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_34903])).++cnf(c_113093,plain,+ ( op2(e20,e23) != e22+ | e22 = op2(e20,e23)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_61358])).++cnf(c_140947,plain,+ ( X0 != op2(e20,e21)+ | op2(e20,e21) = X0+ | op2(e20,e21) != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_139509])).++cnf(c_17801,plain,+ ( X0 != X1+ | op2(e20,e21) != X1+ | op2(e20,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_20386,plain,+ ( X0 != op2(e20,e21)+ | op2(e20,e21) = X0+ | op2(e20,e21) != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_17801])).++cnf(c_143347,plain,+ ( op2(e20,e21) = X0+ | X0 != op2(e20,e21) ),+ inference(global_propositional_subsumption,[status(thm)],[c_140947,c_17800,c_20386])).++cnf(c_143348,plain,+ ( X0 != op2(e20,e21)+ | op2(e20,e21) = X0 ),+ inference(renaming,[status(thm)],[c_143347])).++cnf(c_143356,plain,+ ( op2(e20,e21) = e23+ | e23 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_143348])).++cnf(c_145025,plain,+ ( X0 != op2(e20,e23)+ | X1 != e23+ | op2(X1,X0) = op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_153062,plain,+ ( X0 != op2(e20,e23)+ | op2(op2(e20,e21),X0) = op2(e23,op2(e20,e23))+ | op2(e20,e21) != e23 ),+ inference(instantiation,[status(thm)],[c_145025])).++cnf(c_166043,plain,+ ( op2(op2(e20,e21),e22) = op2(e23,op2(e20,e23))+ | op2(e20,e21) != e23+ | e22 != op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_153062])).++cnf(c_141748,plain,+ ( X0 != op2(e23,e22)+ | X0 = e23+ | e23 != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_140296])).++cnf(c_149931,plain,+ ( op2(e20,e21) != op2(e23,e22)+ | op2(e20,e21) = e23+ | e23 != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_141748])).++cnf(c_28167,plain,+ ( op2(e20,e21) != op2(e20,e21)+ | op2(e20,e21) = e23+ | e23 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_20386])).++cnf(c_141584,plain,+ ( X0 != op2(e23,e22)+ | e23 = X0+ | e23 != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_138390])).++cnf(c_149932,plain,+ ( op2(e20,e21) != op2(e23,e22)+ | e23 = op2(e20,e21)+ | e23 != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_141584])).++cnf(c_17913,plain,+ ( op2(e20,e22) = op2(e23,e22)+ | op2(e20,e22) != e23+ | op2(e23,e22) != e23 ),+ inference(instantiation,[status(thm)],[c_16708])).++cnf(c_30091,plain,+ ( X0 != X1+ | op2(e23,e22) != X1+ | op2(e23,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_31037,plain,+ ( X0 != op2(e23,e22)+ | op2(e23,e22) = X0+ | op2(e23,e22) != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_30091])).++cnf(c_40399,plain,+ ( op2(e23,e22) != op2(e23,e22)+ | op2(e23,e22) = e23+ | e23 != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_31037])).++cnf(c_139083,plain,+ ( X0 != e23+ | e23 = X0+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_138390])).++cnf(c_140287,plain,+ ( e23 = X0+ | X0 != e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_139083,c_16905,c_17391])).++cnf(c_140288,plain,+ ( X0 != e23+ | e23 = X0 ),+ inference(renaming,[status(thm)],[c_140287])).++cnf(c_140292,plain,+ ( op2(e20,e21) != e23+ | e23 = op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_140288])).++cnf(c_152918,plain,+ ( e23 = op2(e20,e21)+ | e23 != op2(e23,e22) ),+ inference(global_propositional_subsumption,[status(thm)],[c_149932,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_177,c_176,c_175,c_174,c_171,c_166,c_160,c_158,c_155,c_153,c_90,c_89,c_88,c_87,c_77,c_71,c_68,c_67,c_57,c_1865,c_1969,c_16905,c_17254,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17740,c_17770,c_17853,c_17913,c_17931,c_18615,c_18616,c_18617,c_18984,c_18997,c_19246,c_19346,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_29330,c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39778,c_40255,c_40399,c_44248,c_44601,c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,c_68974,c_69063,c_74870,c_76914,c_77143,c_95072,c_102572,c_107767,c_112325,c_112444,c_138057,c_138069,c_138092,c_140292])).++cnf(c_155173,plain,+ ( op2(e20,e21) = e23+ | e23 != op2(e23,e22) ),+ inference(global_propositional_subsumption,[status(thm)],[c_149931,c_17800,c_28167,c_152918])).++cnf(c_141674,plain,+ ( X0 != op2(e23,op2(e20,e23))+ | e23 = X0+ | e23 != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_138390])).++cnf(c_145024,plain,+ ( op2(X0,X1) != op2(e23,op2(e20,e23))+ | e23 = op2(X0,X1)+ | e23 != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_141674])).++cnf(c_153054,plain,+ ( op2(e23,e22) != op2(e23,op2(e20,e23))+ | e23 != op2(e23,op2(e20,e23))+ | e23 = op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_145024])).++cnf(c_17915,plain,+ ( op2(e20,e22) = op2(e23,e22)+ | op2(e20,e22) != e21+ | op2(e23,e22) != e21 ),+ inference(instantiation,[status(thm)],[c_16708])).++cnf(c_19340,plain,+ ( op2(e20,e22) != e23+ | e23 = op2(e20,e22)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_22085,plain,+ ( op2(e23,e22) != e23+ | e23 = op2(e23,e22)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_23148,plain,+ ( op2(e20,e22) != e22+ | e22 = op2(e20,e22)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_19519])).++cnf(c_59544,plain,+ ( op2(e21,e22) != X0+ | op2(e21,e22) = op2(e23,e22)+ | op2(e23,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_101735,plain,+ ( op2(e21,e22) != op2(e20,e23)+ | op2(e21,e22) = op2(e23,e22)+ | op2(e23,e22) != op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_59544])).++cnf(c_113086,plain,+ ( op2(e20,e23) != e22+ | op2(e23,e22) = op2(e20,e23)+ | op2(e23,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_90235])).++cnf(c_138996,plain,+ ( X0 != X1+ | op2(e21,e22) != X1+ | op2(e21,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_140205,plain,+ ( X0 != e22+ | op2(e21,e22) = X0+ | op2(e21,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_138996])).++cnf(c_142902,plain,+ ( op2(e20,e23) != e22+ | op2(e21,e22) = op2(e20,e23)+ | op2(e21,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_140205])).++cnf(c_182,plain,+ ( op2(e21,e21) != op2(e22,e21) ),+ inference(cnf_transformation,[],[f213])).++cnf(c_172,plain,+ ( op2(e20,e23) != op2(e22,e23) ),+ inference(cnf_transformation,[],[f223])).++cnf(c_16698,plain,+ ( op2(e20,e23) != X0+ | op2(e20,e23) = op2(e22,e23)+ | op2(e22,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17881,plain,+ ( op2(e20,e23) = op2(e22,e23)+ | op2(e20,e23) != e22+ | op2(e22,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_16698])).++cnf(c_17889,plain,+ ( op2(e20,e23) = op2(e21,e23)+ | op2(e20,e23) != e22+ | op2(e21,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_16700])).++cnf(c_29608,plain,+ ( op2(e21,e21) != X0+ | op2(e21,e21) = op2(e22,e21)+ | op2(e22,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_44742,plain,+ ( op2(e21,e21) = op2(e22,e21)+ | op2(e21,e21) != e22+ | op2(e22,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_29608])).++cnf(c_60101,plain,+ ( X0 != X1+ | op2(e21,e22) != X1+ | op2(e21,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_70320,plain,+ ( X0 != e22+ | op2(e21,e22) = X0+ | op2(e21,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_60101])).++cnf(c_113082,plain,+ ( op2(e20,e23) != e22+ | op2(e21,e22) = op2(e20,e23)+ | op2(e21,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_70320])).++cnf(c_75,plain,+ ( op2(e22,e20) = e22+ | op2(e22,e21) = e22+ | op2(e22,e22) = e22+ | op2(e22,e23) = e22 ),+ inference(cnf_transformation,[],[f144])).++cnf(c_17539,plain,+ ( e20 != op2(e22,e22)+ | e20 = e22+ | e22 != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_16753])).++cnf(c_44824,plain,+ ( op2(e22,e22) != e22+ | e22 = op2(e22,e22)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_31448])).++cnf(c_138078,plain,+ ( op2(e22,e21) = e22+ | op2(e22,e23) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_75,c_257,c_256,c_203,c_202,c_200,c_155,c_153,c_77,c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_21159,c_21422,c_26105,c_26103,c_26603,c_34088,c_36100,c_44824,c_49003,c_68974])).++cnf(c_83,plain,+ ( op2(e21,e20) = e22+ | op2(e21,e21) = e22+ | op2(e21,e22) = e22+ | op2(e21,e23) = e22 ),+ inference(cnf_transformation,[],[f136])).++cnf(c_138088,plain,+ ( op2(e21,e21) = e22+ | op2(e21,e22) = e22+ | op2(e21,e23) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_83,c_257,c_256,c_255,c_203,c_199,c_198,c_191,c_187,c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,c_19346,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,c_68975,c_95072,c_102572,c_112325])).++cnf(c_149272,plain,+ ( op2(e21,e22) = op2(e20,e23)+ | op2(e20,e23) != e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_142902,c_182,c_173,c_172,c_17881,c_17889,c_44742,c_113082,c_138078,c_138088])).++cnf(c_149273,plain,+ ( op2(e20,e23) != e22+ | op2(e21,e22) = op2(e20,e23) ),+ inference(renaming,[status(thm)],[c_149272])).++cnf(c_139585,plain,+ ( X0 != X1+ | op2(e20,e23) != X1+ | op2(e20,e23) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_141974,plain,+ ( X0 != e22+ | op2(e20,e23) = X0+ | op2(e20,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_139585])).++cnf(c_145084,plain,+ ( op2(e20,e23) = op2(e22,op2(e20,e22))+ | op2(e20,e23) != e22+ | op2(e22,op2(e20,e22)) != e22 ),+ inference(instantiation,[status(thm)],[c_141974])).++cnf(c_165,plain,+ ( op2(e20,e20) != op2(e20,e23) ),+ inference(cnf_transformation,[],[f230])).++cnf(c_1852,plain,+ ( sP4+ | sP5+ | op2(e21,op2(e23,e21)) = e21+ | op2(e22,op2(e20,e22)) = e22 ),+ inference(resolution,[status(thm)],[c_250,c_245])).++cnf(c_1956,plain,+ ( sP4+ | sP5+ | op2(e22,op2(e20,e22)) = e22+ | op2(e23,op2(e23,e23)) = e23 ),+ inference(resolution,[status(thm)],[c_248,c_245])).++cnf(c_16684,plain,+ ( op2(e20,e20) != X0+ | op2(e20,e20) = op2(e20,e23)+ | op2(e20,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_25032,plain,+ ( op2(e20,e20) = op2(e20,e23)+ | op2(e20,e20) != e22+ | op2(e20,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_16684])).++cnf(c_117825,plain,+ ( X0 != e22+ | op2(e20,e23) = X0+ | op2(e20,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_60506])).++cnf(c_131065,plain,+ ( op2(e20,e23) = op2(e22,op2(e20,e22))+ | op2(e20,e23) != e22+ | op2(e22,op2(e20,e22)) != e22 ),+ inference(instantiation,[status(thm)],[c_117825])).++cnf(c_157088,plain,+ ( op2(e20,e23) != e22+ | op2(e20,e23) = op2(e22,op2(e20,e22)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_145084,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_176,c_174,c_165,c_155,c_153,c_90,c_88,c_87,c_77,c_71,c_1852,c_1956,c_16905,c_17254,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_18616,c_18617,c_18997,c_19346,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_22568,c_23147,c_23297,c_23671,c_25032,c_25989,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,c_27945,c_33461,c_33893,c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39778,c_44248,c_49003,c_51437,c_68501,c_68975,c_68974,c_76914,c_95072,c_102572,c_107767,c_112325,c_131065])).++cnf(c_157089,plain,+ ( op2(e20,e23) = op2(e22,op2(e20,e22))+ | op2(e20,e23) != e22 ),+ inference(renaming,[status(thm)],[c_157088])).++cnf(c_138226,plain,+ ( op2(e20,e23) != X0+ | op2(e20,e23) = op2(e22,e23)+ | op2(e22,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139589,plain,+ ( op2(e20,e23) != X0+ | op2(e22,e23) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138226,c_172,c_16698])).++cnf(c_157091,plain,+ ( op2(e20,e23) != op2(e22,op2(e20,e22))+ | op2(e22,e23) != op2(e22,op2(e20,e22)) ),+ inference(instantiation,[status(thm)],[c_139589])).++cnf(c_138254,plain,+ ( e21 != X0+ | e21 = e22+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16749,plain,+ ( e21 != X0+ | e21 = e22+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139228,plain,+ ( e21 != X0+ | e22 != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138254,c_200,c_16749])).++cnf(c_148191,plain,+ ( e21 != op2(e20,e22)+ | e22 != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_139228])).++cnf(c_19400,plain,+ ( op2(e20,e20) != op2(e20,e20)+ | op2(e20,e20) = op2(e20,e22)+ | op2(e20,e22) != op2(e20,e20) ),+ inference(instantiation,[status(thm)],[c_16686])).++cnf(c_60454,plain,+ ( X0 != X1+ | op2(e20,e22) != X1+ | op2(e20,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_61542,plain,+ ( X0 != op2(e20,e22)+ | op2(e20,e22) = X0+ | op2(e20,e22) != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_60454])).++cnf(c_68847,plain,+ ( op2(e20,e22) != op2(e20,e22)+ | op2(e20,e22) = e22+ | e22 != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_61542])).++cnf(c_59548,plain,+ ( op2(e20,e22) != X0+ | op2(e20,e22) = op2(e21,e22)+ | op2(e21,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_69423,plain,+ ( op2(e20,e22) = op2(e21,e22)+ | op2(e20,e22) != op2(e23,e20)+ | op2(e21,e22) != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_59548])).++cnf(c_61536,plain,+ ( X0 != e22+ | op2(e20,e22) = X0+ | op2(e20,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_60454])).++cnf(c_71340,plain,+ ( op2(e20,e20) != e22+ | op2(e20,e22) = op2(e20,e20)+ | op2(e20,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_61536])).++cnf(c_107924,plain,+ ( op2(e20,e22) = op2(e23,e20)+ | op2(e20,e22) != e22+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_61536])).++cnf(c_142899,plain,+ ( op2(e21,e22) = op2(e23,e20)+ | op2(e21,e22) != e22+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_140205])).++cnf(c_148,plain,+ ( op2(e23,e20) != op2(e23,e22) ),+ inference(cnf_transformation,[],[f247])).++cnf(c_74,plain,+ ( op2(e20,e22) = e22+ | op2(e21,e22) = e22+ | op2(e22,e22) = e22+ | op2(e23,e22) = e22 ),+ inference(cnf_transformation,[],[f145])).++cnf(c_16650,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e20) = op2(e23,e22)+ | op2(e23,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17283,plain,+ ( op2(e23,e20) = op2(e23,e22)+ | op2(e23,e20) != e22+ | op2(e23,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_16650])).++cnf(c_17334,plain,+ ( op2(e22,e21) != op2(e22,e21)+ | op2(e22,e21) = op2(e22,e23)+ | op2(e22,e23) != op2(e22,e21) ),+ inference(instantiation,[status(thm)],[c_16656])).++cnf(c_18944,plain,+ ( X0 != e22+ | op2(e22,e21) = X0+ | op2(e22,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_17336])).++cnf(c_21387,plain,+ ( op2(e22,op2(e20,e22)) != e22+ | op2(e22,e21) = op2(e22,op2(e20,e22))+ | op2(e22,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_18944])).++cnf(c_17741,plain,+ ( X0 != X1+ | op2(e21,e22) != X1+ | op2(e21,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19778,plain,+ ( X0 != e22+ | op2(e21,e22) = X0+ | op2(e21,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_17741])).++cnf(c_27780,plain,+ ( op2(e21,e22) = op2(e23,e20)+ | op2(e21,e22) != e22+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_19778])).++cnf(c_32014,plain,+ ( X0 != e22+ | op2(e22,e23) = X0+ | op2(e22,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_30606])).++cnf(c_34075,plain,+ ( op2(e22,e23) = op2(e23,e20)+ | op2(e22,e23) != e22+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_32014])).++cnf(c_60067,plain,+ ( op2(e22,e22) = op2(X0,X1)+ | e22 != X0+ | e22 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_61103,plain,+ ( op2(e22,e22) = op2(e22,X0)+ | e22 != X0+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_60067])).++cnf(c_68817,plain,+ ( op2(e22,e22) = op2(e22,op2(e20,e22))+ | e22 != op2(e20,e22)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_61103])).++cnf(c_60383,plain,+ ( op2(e22,e21) != X0+ | op2(e22,e23) != X0+ | op2(e22,e23) = op2(e22,e21) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_95749,plain,+ ( op2(e22,e21) != op2(e23,e20)+ | op2(e22,e23) = op2(e22,e21)+ | op2(e22,e23) != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_60383])).++cnf(c_138949,plain,+ ( X0 != X1+ | op2(e22,e21) != X1+ | op2(e22,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_140170,plain,+ ( X0 != e22+ | op2(e22,e21) = X0+ | op2(e22,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_138949])).++cnf(c_142817,plain,+ ( op2(e22,e21) = op2(e23,e20)+ | op2(e22,e21) != e22+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_140170])).++cnf(c_167,plain,+ ( op2(e20,e20) != op2(e20,e21) ),+ inference(cnf_transformation,[],[f228])).++cnf(c_161,plain,+ ( op2(e21,e20) != op2(e21,e21) ),+ inference(cnf_transformation,[],[f234])).++cnf(c_84,plain,+ ( op2(e20,e21) = e21+ | op2(e21,e21) = e21+ | op2(e22,e21) = e21+ | op2(e23,e21) = e21 ),+ inference(cnf_transformation,[],[f135])).++cnf(c_62,plain,+ ( op2(e20,e21) = e21+ | op2(e20,e21) = e22+ | op2(e20,e21) = e23+ | e20 = op2(e20,e21) ),+ inference(cnf_transformation,[],[f109])).++cnf(c_246,plain,+ ( ~ sP3+ | op2(e21,op2(e20,e21)) = e21 ),+ inference(cnf_transformation,[],[f305])).++cnf(c_1839,plain,+ ( sP4+ | sP5+ | op2(e21,op2(e20,e21)) = e21+ | op2(e21,op2(e23,e21)) = e21 ),+ inference(resolution,[status(thm)],[c_250,c_246])).++cnf(c_17623,plain,+ ( op2(e23,e21) != op2(e23,e21)+ | op2(e23,e21) = op2(e23,e22)+ | op2(e23,e22) != op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_16646])).++cnf(c_18654,plain,+ ( op2(e22,e21) = op2(e22,e23)+ | op2(e22,e21) != e23+ | op2(e22,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_16656])).++cnf(c_19092,plain,+ ( op2(e20,e21) != op2(e20,e21)+ | op2(e20,e21) = op2(e22,e21)+ | op2(e22,e21) != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_16722])).++cnf(c_16732,plain,+ ( op2(e20,e20) != X0+ | op2(e20,e20) = op2(e23,e20)+ | op2(e23,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19398,plain,+ ( op2(e20,e20) != op2(e20,e20)+ | op2(e20,e20) = op2(e23,e20)+ | op2(e23,e20) != op2(e20,e20) ),+ inference(instantiation,[status(thm)],[c_16732])).++cnf(c_19420,plain,+ ( op2(e20,e23) != op2(e20,e23)+ | op2(e20,e23) = op2(e22,e23)+ | op2(e22,e23) != op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_16698])).++cnf(c_21383,plain,+ ( op2(e22,e21) = op2(e23,e20)+ | op2(e22,e21) != e22+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_18944])).++cnf(c_24027,plain,+ ( op2(e23,e23) != e23+ | e23 = op2(e23,e23)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_18416,plain,+ ( X0 != e22+ | op2(e23,e20) = X0+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_17277])).++cnf(c_24688,plain,+ ( op2(e22,e23) != e22+ | op2(e23,e20) = op2(e22,e23)+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_18416])).++cnf(c_24992,plain,+ ( op2(e20,e21) != e22+ | e22 = op2(e20,e21)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_19519])).++cnf(c_25036,plain,+ ( op2(e20,e20) != e22+ | op2(e23,e20) = op2(e20,e20)+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_18416])).++cnf(c_17858,plain,+ ( X0 != X1+ | op2(e20,e23) != X1+ | op2(e20,e23) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_21087,plain,+ ( X0 != op2(e20,e23)+ | op2(e20,e23) = X0+ | op2(e20,e23) != op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_17858])).++cnf(c_28966,plain,+ ( op2(e20,e23) != op2(e20,e23)+ | op2(e20,e23) = e20+ | e20 != op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_21087])).++cnf(c_29329,plain,+ ( op2(e21,op2(e20,e21)) != e21+ | op2(e21,e21) = op2(e21,op2(e20,e21))+ | op2(e21,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_22443])).++cnf(c_29574,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e20) = op2(e23,e22)+ | op2(e23,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_38045,plain,+ ( op2(e23,e20) != op2(e22,e23)+ | op2(e23,e20) = op2(e23,e22)+ | op2(e23,e22) != op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_29574])).++cnf(c_30161,plain,+ ( op2(e21,e22) = op2(X0,X1)+ | e21 != X0+ | e22 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_31203,plain,+ ( op2(e21,e22) = op2(e21,X0)+ | e21 != e21+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_30161])).++cnf(c_38358,plain,+ ( op2(e21,e22) = op2(e21,op2(e20,e21))+ | e21 != e21+ | e22 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_31203])).++cnf(c_29587,plain,+ ( op2(e21,e20) != X0+ | op2(e21,e20) = op2(e21,e21)+ | op2(e21,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_38853,plain,+ ( op2(e21,e20) != op2(e21,op2(e23,e21))+ | op2(e21,e20) = op2(e21,e21)+ | op2(e21,e21) != op2(e21,op2(e23,e21)) ),+ inference(instantiation,[status(thm)],[c_29587])).++cnf(c_30131,plain,+ ( X0 != X1+ | op2(e22,e21) != X1+ | op2(e22,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_31098,plain,+ ( X0 != e23+ | op2(e22,e21) = X0+ | op2(e22,e21) != e23 ),+ inference(instantiation,[status(thm)],[c_30131])).++cnf(c_40665,plain,+ ( op2(e20,e21) != e23+ | op2(e22,e21) = op2(e20,e21)+ | op2(e22,e21) != e23 ),+ inference(instantiation,[status(thm)],[c_31098])).++cnf(c_68615,plain,+ ( op2(e21,e21) != op2(e21,op2(e20,e21))+ | op2(e21,e21) = op2(e21,e22)+ | op2(e21,e22) != op2(e21,op2(e20,e21)) ),+ inference(instantiation,[status(thm)],[c_59527])).++cnf(c_62365,plain,+ ( X0 != e21+ | op2(e20,e23) = X0+ | op2(e20,e23) != e21 ),+ inference(instantiation,[status(thm)],[c_60506])).++cnf(c_77593,plain,+ ( op2(e20,e21) != e21+ | op2(e20,e23) = op2(e20,e21)+ | op2(e20,e23) != e21 ),+ inference(instantiation,[status(thm)],[c_62365])).++cnf(c_59534,plain,+ ( op2(e20,e20) != X0+ | op2(e20,e20) = op2(e20,e23)+ | op2(e20,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_88491,plain,+ ( op2(e20,e20) = op2(e20,e23)+ | op2(e20,e20) != e20+ | op2(e20,e23) != e20 ),+ inference(instantiation,[status(thm)],[c_59534])).++cnf(c_59536,plain,+ ( op2(e20,e20) != X0+ | op2(e20,e20) = op2(e20,e21)+ | op2(e20,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_88489,plain,+ ( op2(e20,e20) = op2(e20,e21)+ | op2(e20,e20) != e20+ | op2(e20,e21) != e20 ),+ inference(instantiation,[status(thm)],[c_59536])).++cnf(c_70834,plain,+ ( X0 != e22+ | op2(e22,e23) = X0+ | op2(e22,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_60488])).++cnf(c_113088,plain,+ ( op2(e20,e23) != e22+ | op2(e22,e23) = op2(e20,e23)+ | op2(e22,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_70834])).++cnf(c_60915,plain,+ ( X0 != e21+ | op2(e23,e22) = X0+ | op2(e23,e22) != e21 ),+ inference(instantiation,[status(thm)],[c_60029])).++cnf(c_115261,plain,+ ( op2(e23,e21) != e21+ | op2(e23,e22) = op2(e23,e21)+ | op2(e23,e22) != e21 ),+ inference(instantiation,[status(thm)],[c_60915])).++cnf(c_64,plain,+ ( op2(e20,e23) = e23+ | op2(e21,e23) = e23+ | op2(e22,e23) = e23+ | op2(e23,e23) = e23 ),+ inference(cnf_transformation,[],[f155])).++cnf(c_159,plain,+ ( op2(e21,e20) != op2(e21,e23) ),+ inference(cnf_transformation,[],[f236])).++cnf(c_16672,plain,+ ( op2(e21,e20) != X0+ | op2(e21,e20) = op2(e21,e23)+ | op2(e21,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17760,plain,+ ( op2(e21,e20) = op2(e21,e23)+ | op2(e21,e20) != e23+ | op2(e21,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_16672])).++cnf(c_138060,plain,+ ( op2(e20,e23) = e23+ | op2(e22,e23) = e23+ | op2(e23,e23) = e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_64,c_257,c_256,c_255,c_203,c_199,c_191,c_187,c_159,c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17760,c_18617,c_19346,c_21159,c_21422,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,c_68975,c_95072,c_102572])).++cnf(c_138255,plain,+ ( e20 != X0+ | e20 = e23+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139235,plain,+ ( e20 != X0+ | e23 != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138255,c_201,c_16751])).++cnf(c_139238,plain,+ ( e20 != op2(e23,e23)+ | e23 != op2(e23,e23) ),+ inference(instantiation,[status(thm)],[c_139235])).++cnf(c_138882,plain,+ ( X0 != X1+ | op2(e23,e22) != X1+ | op2(e23,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_140105,plain,+ ( X0 != e23+ | op2(e23,e22) = X0+ | op2(e23,e22) != e23 ),+ inference(instantiation,[status(thm)],[c_138882])).++cnf(c_142617,plain,+ ( op2(e22,e23) != e23+ | op2(e23,e22) = op2(e22,e23)+ | op2(e23,e22) != e23 ),+ inference(instantiation,[status(thm)],[c_140105])).++cnf(c_144,plain,+ ( op2(e23,e22) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f251])).++cnf(c_16642,plain,+ ( op2(e23,e22) != X0+ | op2(e23,e22) = op2(e23,e23)+ | op2(e23,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_22082,plain,+ ( op2(e23,e22) = op2(e23,e23)+ | op2(e23,e22) != e23+ | op2(e23,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_16642])).++cnf(c_64702,plain,+ ( X0 != X1+ | X0 = op2(e22,e23)+ | op2(e22,e23) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_113259,plain,+ ( X0 = op2(e22,e23)+ | X0 != e23+ | op2(e22,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_64702])).++cnf(c_122296,plain,+ ( op2(e22,e23) != e23+ | op2(e23,e22) = op2(e22,e23)+ | op2(e23,e22) != e23 ),+ inference(instantiation,[status(thm)],[c_113259])).++cnf(c_148738,plain,+ ( op2(e23,e22) = op2(e22,e23)+ | op2(e23,e22) != e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_142617,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_176,c_175,c_174,c_171,c_166,c_163,c_162,c_160,c_159,c_158,c_155,c_153,c_144,c_90,c_89,c_88,c_87,c_77,c_71,c_68,c_67,c_64,c_57,c_1865,c_1969,c_16905,c_17254,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17740,c_17760,c_17770,c_17786,c_17799,c_17800,c_17853,c_17931,c_18615,c_18616,c_18617,c_18984,c_18997,c_19246,c_19346,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,c_22082,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_29330,c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39778,c_40255,c_44248,c_44601,c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,c_68974,c_69063,c_74870,c_76914,c_77143,c_95072,c_102572,c_107767,c_112325,c_112444,c_115060,c_122296,c_138057,c_138069,c_138092])).++cnf(c_149072,plain,+ ( op2(e22,e21) = op2(e23,e20)+ | op2(e23,e20) != e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_142817,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_190,c_189,c_188,c_187,c_184,c_179,c_176,c_175,c_174,c_172,c_171,c_167,c_166,c_165,c_163,c_162,c_161,c_160,c_158,c_155,c_153,c_151,c_148,c_146,c_90,c_89,c_88,c_87,c_84,c_77,c_75,c_71,c_68,c_67,c_63,c_62,c_60,c_57,c_1839,c_1865,c_1969,c_16905,c_17254,c_17261,c_17283,c_17300,c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_17556,c_17623,c_17740,c_17770,c_17786,c_17799,c_17800,c_17816,c_17853,c_17857,c_17931,c_18615,c_18616,c_18617,c_18654,c_18984,c_18997,c_19092,c_19246,c_19346,c_19398,c_19420,c_20774,c_20913,c_20955,c_21017,c_21159,c_21383,c_21422,c_21762,c_22470,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_24027,c_24688,c_24992,c_25031,c_25036,c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_28292,c_28966,c_29329,c_29330,c_33461,c_33893,c_34088,c_35201,c_36100,c_38045,c_38358,c_38592,c_38580,c_38853,c_38851,c_38896,c_38949,c_39778,c_40255,c_40665,c_44248,c_44601,c_44653,c_44824,c_49003,c_51437,c_62013,c_68501,c_68615,c_68690,c_68975,c_68974,c_69063,c_74870,c_76914,c_77143,c_77593,c_88491,c_88489,c_95072,c_102572,c_107767,c_112325,c_112444,c_113088,c_115060,c_115261,c_138039,c_138045,c_138057,c_138060,c_138069,c_138092,c_139238,c_148738])).++cnf(c_138206,plain,+ ( op2(e22,e21) != X0+ | op2(e22,e21) = op2(e22,e22)+ | op2(e22,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16658,plain,+ ( op2(e22,e21) != X0+ | op2(e22,e21) = op2(e22,e22)+ | op2(e22,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138953,plain,+ ( op2(e22,e21) != X0+ | op2(e22,e22) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138206,c_152,c_16658])).++cnf(c_149097,plain,+ ( op2(e22,e21) != op2(e22,op2(e20,e22))+ | op2(e22,e22) != op2(e22,op2(e20,e22)) ),+ inference(instantiation,[status(thm)],[c_138953])).++cnf(c_149258,plain,+ ( op2(e21,e22) = op2(e23,e20)+ | op2(e23,e20) != e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_142899,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_191,c_188,c_187,c_176,c_174,c_155,c_153,c_151,c_148,c_88,c_87,c_77,c_74,c_71,c_1852,c_1956,c_16905,c_17254,c_17283,c_17300,c_17334,c_17335,c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_17740,c_18616,c_18617,c_18997,c_19346,c_20774,c_20913,c_20955,c_21017,c_21159,c_21387,c_21422,c_21762,c_22510,c_22568,c_23148,c_23297,c_23671,c_25989,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27780,c_27939,c_27945,c_33461,c_33893,c_34075,c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39778,c_44248,c_44824,c_51437,c_68501,c_68817,c_68975,c_76914,c_95072,c_95749,c_102572,c_107767,c_138078,c_149072,c_149097])).++cnf(c_164118,plain,+ ( e22 != op2(e20,e22) ),+ inference(global_propositional_subsumption,[status(thm)],[c_148191,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_187,c_179,c_166,c_155,c_153,c_90,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17790,c_17816,c_18617,c_19346,c_19400,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_49003,c_51437,c_68847,c_68975,c_68974,c_69423,c_71340,c_95072,c_102572,c_107924,c_112325,c_149258])).++cnf(c_153069,plain,+ ( X0 != op2(e20,e23)+ | op2(e23,X0) = op2(e23,op2(e20,e23))+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_145025])).++cnf(c_164535,plain,+ ( op2(e23,X0) = op2(e23,op2(e20,e23))+ | X0 != op2(e20,e23) ),+ inference(global_propositional_subsumption,[status(thm)],[c_153069,c_16905,c_51993])).++cnf(c_164536,plain,+ ( X0 != op2(e20,e23)+ | op2(e23,X0) = op2(e23,op2(e20,e23)) ),+ inference(renaming,[status(thm)],[c_164535])).++cnf(c_164541,plain,+ ( op2(e23,e21) = op2(e23,op2(e20,e23))+ | e21 != op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_164536])).++cnf(c_138200,plain,+ ( op2(e23,e21) != X0+ | op2(e23,e21) = op2(e23,e22)+ | op2(e23,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138896,plain,+ ( op2(e23,e21) != X0+ | op2(e23,e22) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138200,c_146,c_16646])).++cnf(c_164542,plain,+ ( op2(e23,e21) != op2(e23,op2(e20,e23))+ | op2(e23,e22) != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_138896])).++cnf(c_138202,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e20) = op2(e23,e22)+ | op2(e23,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_138915,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e22) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138202,c_148,c_16650])).++cnf(c_164546,plain,+ ( op2(e23,e20) != op2(e23,op2(e20,e23))+ | op2(e23,e22) != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_138915])).++cnf(c_165269,plain,+ ( op2(e23,e22) != op2(e23,op2(e20,e23))+ | e23 = op2(e23,e22) ),+ inference(global_propositional_subsumption,[status(thm)],[c_153054,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_178,c_177,c_176,c_175,c_174,c_171,c_166,c_165,c_163,c_162,c_160,c_158,c_155,c_153,c_148,c_90,c_89,c_88,c_87,c_77,c_71,c_68,c_67,c_61,c_60,c_57,c_49,c_1865,c_1969,c_16905,c_17254,c_17283,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17740,c_17770,c_17786,c_17790,c_17799,c_17800,c_17816,c_17853,c_17915,c_17931,c_18615,c_18616,c_18617,c_18984,c_18997,c_19246,c_19340,c_19346,c_19400,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,c_22085,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25032,c_25031,c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_28198,c_29330,c_33231,c_33461,c_33694,c_33893,c_34088,c_34901,c_35201,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_40255,c_44248,c_44601,c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,c_68974,c_69063,c_69423,c_71340,c_74870,c_76914,c_77143,c_95072,c_102572,c_107767,c_107924,c_112325,c_112444,c_115060,c_138057,c_138069,c_138092,c_149258,c_157089,c_157091,c_164541,c_164542])).++cnf(c_178764,plain,+ ( op2(e23,e22) = op2(e23,op2(e20,e23))+ | e22 != op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_164536])).++cnf(c_180014,plain,+ ( op2(op2(e20,e21),e22) = op2(e23,op2(e20,e23))+ | e22 != op2(e20,e23) ),+ inference(global_propositional_subsumption,[status(thm)],[c_166043,c_155173,c_165269,c_178764])).++cnf(c_181861,plain,+ ( op2(op2(e20,e21),e22) != op2(e23,op2(e20,e23))+ | op2(e23,op2(e20,e23)) = op2(op2(e20,e21),e22) ),+ inference(instantiation,[status(thm)],[c_181828])).++cnf(c_139566,plain,+ ( X0 != X1+ | op2(e21,e23) != X1+ | op2(e21,e23) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_153976,plain,+ ( X0 != op2(e21,op2(e20,e21))+ | op2(e21,e23) = X0+ | op2(e21,e23) != op2(e21,op2(e20,e21)) ),+ inference(instantiation,[status(thm)],[c_139566])).++cnf(c_170401,plain,+ ( op2(e21,e23) != op2(e21,op2(e20,e21))+ | op2(e21,e23) = e21+ | e21 != op2(e21,op2(e20,e21)) ),+ inference(instantiation,[status(thm)],[c_153976])).++cnf(c_157,plain,+ ( op2(e21,e21) != op2(e21,e23) ),+ inference(cnf_transformation,[],[f238])).++cnf(c_86,plain,+ ( e20 = op2(e20,e21)+ | e20 = op2(e21,e21)+ | e20 = op2(e22,e21)+ | e20 = op2(e23,e21) ),+ inference(cnf_transformation,[],[f133])).++cnf(c_1943,plain,+ ( sP4+ | sP5+ | op2(e21,op2(e20,e21)) = e21+ | op2(e23,op2(e23,e23)) = e23 ),+ inference(resolution,[status(thm)],[c_248,c_246])).++cnf(c_17558,plain,+ ( e20 != op2(e21,e21)+ | e20 = e21+ | e21 != op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_16755])).++cnf(c_16668,plain,+ ( op2(e21,e21) != X0+ | op2(e21,e21) = op2(e21,e23)+ | op2(e21,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17747,plain,+ ( op2(e21,e21) != op2(e21,e21)+ | op2(e21,e21) = op2(e21,e23)+ | op2(e21,e23) != op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_16668])).++cnf(c_19094,plain,+ ( op2(e20,e21) != op2(e20,e21)+ | op2(e20,e21) = op2(e20,e22)+ | op2(e20,e22) != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_16682])).++cnf(c_16688,plain,+ ( op2(e20,e20) != X0+ | op2(e20,e20) = op2(e20,e21)+ | op2(e20,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_25030,plain,+ ( op2(e20,e20) = op2(e20,e21)+ | op2(e20,e20) != e22+ | op2(e20,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_16688])).++cnf(c_26604,plain,+ ( op2(e21,e21) != e21+ | e21 = op2(e21,e21)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_19525])).++cnf(c_33333,plain,+ ( op2(e20,e21) != e21+ | e21 = op2(e20,e21)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_31484])).++cnf(c_30186,plain,+ ( op2(e21,e21) = op2(X0,X1)+ | e21 != X0+ | e21 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_31202,plain,+ ( op2(e21,e21) = op2(e21,X0)+ | e21 != X0+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_30186])).++cnf(c_38487,plain,+ ( op2(e21,e21) = op2(e21,op2(e20,e21))+ | e21 != op2(e20,e21)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_31202])).++cnf(c_60439,plain,+ ( op2(e21,e20) = op2(X0,X1)+ | e20 != X1+ | e21 != X0 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_61527,plain,+ ( op2(e21,e20) = op2(X0,op2(e20,e21))+ | e20 != op2(e20,e21)+ | e21 != X0 ),+ inference(instantiation,[status(thm)],[c_60439])).++cnf(c_63683,plain,+ ( op2(e21,e20) = op2(e21,op2(e20,e21))+ | e20 != op2(e20,e21)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_61527])).++cnf(c_60428,plain,+ ( op2(e21,e21) != X0+ | op2(e21,e23) != X0+ | op2(e21,e23) = op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_68612,plain,+ ( op2(e21,e21) != op2(e21,op2(e20,e21))+ | op2(e21,e23) != op2(e21,op2(e20,e21))+ | op2(e21,e23) = op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_60428])).++cnf(c_60412,plain,+ ( op2(e21,e23) != X0+ | op2(e21,e23) = e21+ | e21 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_69096,plain,+ ( op2(e21,e23) != op2(e21,op2(e20,e21))+ | op2(e21,e23) = e21+ | e21 != op2(e21,op2(e20,e21)) ),+ inference(instantiation,[status(thm)],[c_60412])).++cnf(c_59528,plain,+ ( op2(e21,e20) != X0+ | op2(e21,e20) = op2(e21,e23)+ | op2(e21,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_60438,plain,+ ( op2(e21,e20) != op2(X0,X1)+ | op2(e21,e20) = op2(e21,e23)+ | op2(e21,e23) != op2(X0,X1) ),+ inference(instantiation,[status(thm)],[c_59528])).++cnf(c_69349,plain,+ ( op2(e21,e20) != op2(e21,op2(e20,e21))+ | op2(e21,e20) = op2(e21,e23)+ | op2(e21,e23) != op2(e21,op2(e20,e21)) ),+ inference(instantiation,[status(thm)],[c_60438])).++cnf(c_61535,plain,+ ( X0 != e23+ | op2(e20,e22) = X0+ | op2(e20,e22) != e23 ),+ inference(instantiation,[status(thm)],[c_60454])).++cnf(c_115073,plain,+ ( op2(e20,e21) != e23+ | op2(e20,e22) = op2(e20,e21)+ | op2(e20,e22) != e23 ),+ inference(instantiation,[status(thm)],[c_61535])).++cnf(c_139151,plain,+ ( X0 != X1+ | e21 != X1+ | e21 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_140775,plain,+ ( X0 != e21+ | e21 = X0+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_139151])).++cnf(c_142407,plain,+ ( e21 = X0+ | X0 != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_140775,c_17431,c_19525])).++cnf(c_142408,plain,+ ( X0 != e21+ | e21 = X0 ),+ inference(renaming,[status(thm)],[c_142407])).++cnf(c_142413,plain,+ ( op2(e21,op2(e20,e21)) != e21+ | e21 = op2(e21,op2(e20,e21)) ),+ inference(instantiation,[status(thm)],[c_142408])).++cnf(c_197043,plain,+ ( op2(e21,e23) = e21+ | op2(e21,e23) != op2(e21,op2(e20,e21)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_170401,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_178,c_176,c_174,c_167,c_166,c_164,c_159,c_157,c_155,c_153,c_152,c_90,c_88,c_87,c_86,c_85,c_77,c_71,c_62,c_61,c_1839,c_1943,c_16905,c_17254,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,c_17554,c_17558,c_17740,c_17747,c_17748,c_17790,c_17800,c_17816,c_17931,c_17998,c_18616,c_18617,c_18997,c_19094,c_19346,c_19400,c_20774,c_20913,c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,c_22510,c_22568,c_23147,c_23297,c_23671,c_25030,c_25989,c_26105,c_26103,c_26603,c_26604,c_26610,c_27237,c_27239,c_27939,c_27945,c_33333,c_33461,c_33694,c_33893,c_34088,c_36100,c_38487,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_44248,c_49003,c_51437,c_63683,c_68261,c_68501,c_68612,c_68975,c_68974,c_69096,c_69349,c_69423,c_71340,c_76914,c_95072,c_102572,c_107767,c_107924,c_112325,c_115073,c_142413,c_149258])).++cnf(c_197044,plain,+ ( op2(e21,e23) != op2(e21,op2(e20,e21))+ | op2(e21,e23) = e21 ),+ inference(renaming,[status(thm)],[c_197043])).++cnf(c_213204,plain,+ ( op2(e23,op2(e20,e23)) = op2(op2(e20,e21),e22)+ | e23 != op2(e20,e21) ),+ inference(global_propositional_subsumption,[status(thm)],[c_182201,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_176,c_175,c_174,c_173,c_171,c_166,c_163,c_162,c_160,c_158,c_155,c_153,c_90,c_89,c_88,c_87,c_77,c_71,c_68,c_67,c_60,c_57,c_1865,c_1969,c_16905,c_17254,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17740,c_17770,c_17786,c_17799,c_17800,c_17853,c_17890,c_17931,c_18615,c_18616,c_18617,c_18984,c_18997,c_19246,c_19346,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_28329,c_29330,c_33231,c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39778,c_40255,c_44248,c_44601,c_48118,c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,c_68974,c_69063,c_74870,c_76914,c_77143,c_95072,c_102572,c_107767,c_112325,c_112444,c_113093,c_115060,c_138057,c_138069,c_138092,c_143356,c_155173,c_165269,c_166043,c_178764,c_181861,c_197044,c_212876,c_212882])).++cnf(c_145800,plain,+ ( X0 != op2(op2(e20,e21),e22)+ | op2(e23,e22) = X0+ | op2(e23,e22) != op2(op2(e20,e21),e22) ),+ inference(instantiation,[status(thm)],[c_138882])).++cnf(c_155426,plain,+ ( op2(X0,X1) != op2(op2(e20,e21),e22)+ | op2(e23,e22) = op2(X0,X1)+ | op2(e23,e22) != op2(op2(e20,e21),e22) ),+ inference(instantiation,[status(thm)],[c_145800])).++cnf(c_213212,plain,+ ( op2(e23,op2(e20,e23)) != op2(op2(e20,e21),e22)+ | op2(e23,e22) != op2(op2(e20,e21),e22)+ | op2(e23,e22) = op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_155426])).++cnf(c_225164,plain,+ ( op2(e20,e22) = e23+ | op2(e23,e22) = e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_72,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_187,c_179,c_178,c_177,c_175,c_174,c_166,c_155,c_153,c_90,c_88,c_77,c_61,c_49,c_16905,c_17254,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_17790,c_17816,c_17914,c_17915,c_18617,c_18971,c_19346,c_19400,c_20774,c_21017,c_21159,c_21422,c_22510,c_23147,c_25989,c_26105,c_26103,c_26603,c_26610,c_27945,c_33694,c_33893,c_34088,c_36100,c_38580,c_38896,c_39126,c_39778,c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,c_95072,c_102572,c_107924,c_108004,c_112325,c_138050,c_139658,c_149258])).++cnf(c_230830,plain,+ ( op2(e20,e22) = e23+ | op2(e23,e22) = e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_72,c_225164])).++cnf(c_231022,plain,+ ( op2(e23,e22) = e23+ | e23 = op2(e20,e22) ),+ inference(resolution,[status(thm)],[c_231004,c_230830])).++cnf(c_239027,plain,+ ( e23 = op2(e20,e22)+ | e23 = op2(e23,e22) ),+ inference(resolution,[status(thm)],[c_231022,c_231004])).++cnf(c_231075,plain,+ ( op2(e21,e21) = e22+ | op2(e21,e22) = e22+ | op2(e21,e23) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_83,c_257,c_256,c_255,c_203,c_199,c_198,c_191,c_187,c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,c_19346,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,c_68975,c_95072,c_102572,c_112325])).++cnf(c_66,plain,+ ( op2(e20,e23) = e22+ | op2(e21,e23) = e22+ | op2(e22,e23) = e22+ | op2(e23,e23) = e22 ),+ inference(cnf_transformation,[],[f153])).++cnf(c_17635,plain,+ ( op2(e23,e20) != op2(e23,e20)+ | op2(e23,e20) = op2(e23,e22)+ | op2(e23,e22) != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_16650])).++cnf(c_29572,plain,+ ( op2(e23,e21) != X0+ | op2(e23,e21) = op2(e23,e22)+ | op2(e23,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_44595,plain,+ ( op2(e23,e21) = op2(e23,e22)+ | op2(e23,e21) != e22+ | op2(e23,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_29572])).++cnf(c_59513,plain,+ ( op2(e23,e22) != X0+ | op2(e23,e22) = op2(e23,e23)+ | op2(e23,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_90234,plain,+ ( op2(e23,e22) = op2(e23,e23)+ | op2(e23,e22) != e22+ | op2(e23,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_59513])).++cnf(c_107918,plain,+ ( op2(e23,e20) != e22+ | op2(e23,e22) = op2(e23,e20)+ | op2(e23,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_90235])).++cnf(c_82,plain,+ ( op2(e20,e21) = e22+ | op2(e21,e21) = e22+ | op2(e22,e21) = e22+ | op2(e23,e21) = e22 ),+ inference(cnf_transformation,[],[f137])).++cnf(c_17253,plain,+ ( op2(e23,e22) != op2(e23,e22)+ | op2(e23,e22) = op2(e23,e23)+ | op2(e23,e23) != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_16642])).++cnf(c_17842,plain,+ ( op2(e21,e23) = op2(e21,e23) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_18652,plain,+ ( op2(e22,e21) = op2(e23,e21)+ | op2(e22,e21) != e23+ | op2(e23,e21) != e23 ),+ inference(instantiation,[status(thm)],[c_16714])).++cnf(c_16694,plain,+ ( op2(e21,e23) != X0+ | op2(e21,e23) = op2(e22,e23)+ | op2(e22,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19411,plain,+ ( op2(e21,e23) != op2(e21,e23)+ | op2(e21,e23) = op2(e22,e23)+ | op2(e22,e23) != op2(e21,e23) ),+ inference(instantiation,[status(thm)],[c_16694])).++cnf(c_17616,plain,+ ( op2(e23,e22) != X0+ | op2(e23,e23) != X0+ | op2(e23,e23) = op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_22081,plain,+ ( op2(e23,e22) != e23+ | op2(e23,e23) = op2(e23,e22)+ | op2(e23,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_17616])).++cnf(c_44784,plain,+ ( op2(e21,e23) != e22+ | op2(e22,e23) = op2(e21,e23)+ | op2(e22,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_32014])).++cnf(c_18656,plain,+ ( op2(e22,e21) != e23+ | e23 = op2(e22,e21)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_17860,plain,+ ( op2(e20,e23) = op2(X0,X1)+ | e20 != X0+ | e23 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_21291,plain,+ ( op2(e20,e23) = op2(op2(e20,e20),X0)+ | e20 != op2(e20,e20)+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_17860])).++cnf(c_29109,plain,+ ( op2(e20,e23) = op2(op2(e20,e20),op2(e22,e21))+ | e20 != op2(e20,e20)+ | e23 != op2(e22,e21) ),+ inference(instantiation,[status(thm)],[c_21291])).++cnf(c_59552,plain,+ ( op2(e20,e21) != X0+ | op2(e20,e21) = op2(e23,e21)+ | op2(e23,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_69667,plain,+ ( op2(e20,e21) = op2(e23,e21)+ | op2(e20,e21) != e20+ | op2(e23,e21) != e20 ),+ inference(instantiation,[status(thm)],[c_59552])).++cnf(c_89055,plain,+ ( X0 != op2(e23,e21)+ | e20 = X0+ | e20 != op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_60272])).++cnf(c_99363,plain,+ ( op2(e20,e22) != op2(e23,e21)+ | e20 = op2(e20,e22)+ | e20 != op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_89055])).++cnf(c_80,plain,+ ( op2(e20,e21) = e23+ | op2(e21,e21) = e23+ | op2(e22,e21) = e23+ | op2(e23,e21) = e23 ),+ inference(cnf_transformation,[],[f139])).++cnf(c_16676,plain,+ ( op2(e21,e20) != X0+ | op2(e21,e20) = op2(e21,e21)+ | op2(e21,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17778,plain,+ ( op2(e21,e20) = op2(e21,e21)+ | op2(e21,e20) != e23+ | op2(e21,e21) != e23 ),+ inference(instantiation,[status(thm)],[c_16676])).++cnf(c_138084,plain,+ ( op2(e20,e21) = e23+ | op2(e22,e21) = e23+ | op2(e23,e21) = e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_80,c_257,c_256,c_255,c_203,c_199,c_191,c_187,c_161,c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17778,c_18617,c_19346,c_21159,c_21422,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,c_68975,c_95072,c_102572])).++cnf(c_139499,plain,+ ( X0 != X1+ | op2(e20,e22) != X1+ | op2(e20,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_140849,plain,+ ( X0 != e21+ | op2(e20,e22) = X0+ | op2(e20,e22) != e21 ),+ inference(instantiation,[status(thm)],[c_139499])).++cnf(c_143222,plain,+ ( op2(e20,e22) = op2(e23,e21)+ | op2(e20,e22) != e21+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_140849])).++cnf(c_17808,plain,+ ( op2(e20,e21) = op2(e20,e22)+ | op2(e20,e21) != e21+ | op2(e20,e22) != e21 ),+ inference(instantiation,[status(thm)],[c_16682])).++cnf(c_59550,plain,+ ( op2(e21,e21) != X0+ | op2(e21,e21) = op2(e23,e21)+ | op2(e23,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_68565,plain,+ ( op2(e21,e21) != op2(e20,e22)+ | op2(e21,e21) = op2(e23,e21)+ | op2(e23,e21) != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_59550])).++cnf(c_60125,plain,+ ( X0 != X1+ | op2(e21,e21) != X1+ | op2(e21,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_61036,plain,+ ( X0 != e21+ | op2(e21,e21) = X0+ | op2(e21,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_60125])).++cnf(c_90409,plain,+ ( op2(e20,e22) != e21+ | op2(e21,e21) = op2(e20,e22)+ | op2(e21,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_61036])).++cnf(c_90406,plain,+ ( X0 != e21+ | op2(e20,e22) = X0+ | op2(e20,e22) != e21 ),+ inference(instantiation,[status(thm)],[c_60454])).++cnf(c_115256,plain,+ ( op2(e20,e22) = op2(e23,e21)+ | op2(e20,e22) != e21+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_90406])).++cnf(c_138892,plain,+ ( X0 != X1+ | op2(e23,e21) != X1+ | op2(e23,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_140120,plain,+ ( X0 != e21+ | op2(e23,e21) = X0+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_138892])).++cnf(c_142653,plain,+ ( op2(e20,e22) != e21+ | op2(e23,e21) = op2(e20,e22)+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_140120])).++cnf(c_169,plain,+ ( op2(e21,e23) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f226])).++cnf(c_16692,plain,+ ( op2(e21,e23) != X0+ | op2(e21,e23) = op2(e23,e23)+ | op2(e23,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17841,plain,+ ( op2(e21,e23) != op2(e21,e23)+ | op2(e21,e23) = op2(e23,e23)+ | op2(e23,e23) != op2(e21,e23) ),+ inference(instantiation,[status(thm)],[c_16692])).++cnf(c_19044,plain,+ ( op2(e20,e22) != op2(e20,e22)+ | op2(e20,e22) = op2(e21,e22)+ | op2(e21,e22) != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_16712])).++cnf(c_44109,plain,+ ( op2(e20,e22) != e21+ | e21 = op2(e20,e22)+ | e21 != e21 ),+ inference(instantiation,[status(thm)],[c_31484])).++cnf(c_31136,plain,+ ( X0 != e22+ | op2(e21,e22) = X0+ | op2(e21,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_30159])).++cnf(c_49014,plain,+ ( op2(e20,e22) != e22+ | op2(e21,e22) = op2(e20,e22)+ | op2(e21,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_31136])).++cnf(c_61335,plain,+ ( op2(e21,e23) != X0+ | op2(e23,e23) != X0+ | op2(e23,e23) = op2(e21,e23) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_77138,plain,+ ( op2(e21,e23) != e21+ | op2(e23,e23) = op2(e21,e23)+ | op2(e23,e23) != e21 ),+ inference(instantiation,[status(thm)],[c_61335])).++cnf(c_60035,plain,+ ( X0 != X1+ | op2(e23,e21) != X1+ | op2(e23,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_115250,plain,+ ( X0 != e21+ | op2(e23,e21) = X0+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_60035])).++cnf(c_127540,plain,+ ( op2(e20,e22) != e21+ | op2(e23,e21) = op2(e20,e22)+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_115250])).++cnf(c_69,plain,+ ( op2(e23,e20) = e21+ | op2(e23,e21) = e21+ | op2(e23,e22) = e21+ | op2(e23,e23) = e21 ),+ inference(cnf_transformation,[],[f150])).++cnf(c_186,plain,+ ( op2(e22,e20) != op2(e23,e20) ),+ inference(cnf_transformation,[],[f209])).++cnf(c_18417,plain,+ ( X0 != e21+ | op2(e23,e20) = X0+ | op2(e23,e20) != e21 ),+ inference(instantiation,[status(thm)],[c_17277])).++cnf(c_20866,plain,+ ( op2(e22,op2(e22,e22)) != e21+ | op2(e23,e20) = op2(e22,op2(e22,e22))+ | op2(e23,e20) != e21 ),+ inference(instantiation,[status(thm)],[c_18417])).++cnf(c_16726,plain,+ ( op2(e22,e20) != X0+ | op2(e22,e20) = op2(e23,e20)+ | op2(e23,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_26104,plain,+ ( op2(e22,e20) != op2(e22,op2(e22,e22))+ | op2(e22,e20) = op2(e23,e20)+ | op2(e23,e20) != op2(e22,op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_16726])).++cnf(c_138066,plain,+ ( op2(e23,e21) = e21+ | op2(e23,e22) = e21+ | op2(e23,e23) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_69,c_257,c_256,c_186,c_17427,c_20866,c_21159,c_26104])).++cnf(c_139568,plain,+ ( op2(e21,e23) = op2(X0,X1)+ | e21 != X0+ | e23 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_141973,plain,+ ( op2(e21,e23) = op2(e21,X0)+ | e21 != e21+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_139568])).++cnf(c_145066,plain,+ ( op2(e21,e23) = op2(e21,X0)+ | e23 != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_141973,c_17431,c_21078])).++cnf(c_145078,plain,+ ( op2(e21,e23) = op2(e21,op2(e20,e21))+ | e23 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_145066])).++cnf(c_138253,plain,+ ( e21 != X0+ | e21 = e23+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16747,plain,+ ( e21 != X0+ | e21 = e23+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139145,plain,+ ( e21 != X0+ | e23 != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138253,c_199,c_16747])).++cnf(c_148192,plain,+ ( e21 != op2(e20,e22)+ | e23 != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_139145])).++cnf(c_148794,plain,+ ( op2(e23,e21) = op2(e20,e22)+ | op2(e20,e22) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_142653,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_178,c_177,c_176,c_175,c_174,c_171,c_169,c_167,c_166,c_164,c_163,c_162,c_160,c_159,c_158,c_157,c_155,c_153,c_152,c_90,c_89,c_88,c_87,c_86,c_85,c_77,c_71,c_68,c_67,c_62,c_61,c_57,c_1839,c_1865,c_1943,c_1969,c_16905,c_17254,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17558,c_17740,c_17747,c_17748,c_17770,c_17786,c_17790,c_17799,c_17800,c_17841,c_17842,c_17853,c_17915,c_17931,c_17998,c_18615,c_18616,c_18617,c_18984,c_18997,c_19044,c_19094,c_19246,c_19340,c_19346,c_20774,c_20913,c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,c_22467,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25030,c_25989,c_26105,c_26103,c_26603,c_26604,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_29330,c_33333,c_33461,c_33694,c_33893,c_34088,c_35201,c_36100,c_38487,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_40255,c_44109,c_44248,c_44601,c_49003,c_49014,c_51437,c_62013,c_63683,c_68261,c_68501,c_68612,c_68690,c_68975,c_68974,c_69063,c_69096,c_69349,c_74870,c_76914,c_77138,c_77143,c_95072,c_102572,c_107767,c_112325,c_112444,c_115073,c_115060,c_127540,c_138057,c_138066,c_138069,c_138092,c_142413,c_145078,c_148192])).++cnf(c_148795,plain,+ ( op2(e20,e22) != e21+ | op2(e23,e21) = op2(e20,e22) ),+ inference(renaming,[status(thm)],[c_148794])).++cnf(c_149599,plain,+ ( op2(e20,e22) != e21+ | op2(e20,e22) = op2(e23,e21) ),+ inference(global_propositional_subsumption,[status(thm)],[c_143222,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_181,c_179,c_178,c_177,c_176,c_175,c_174,c_171,c_169,c_167,c_166,c_164,c_163,c_162,c_160,c_159,c_158,c_157,c_155,c_153,c_152,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_77,c_71,c_68,c_67,c_62,c_61,c_57,c_1839,c_1865,c_1943,c_1969,c_16905,c_17254,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17558,c_17740,c_17747,c_17748,c_17770,c_17786,c_17790,c_17799,c_17800,c_17808,c_17841,c_17842,c_17853,c_17915,c_17931,c_17998,c_18615,c_18616,c_18617,c_18984,c_18997,c_19044,c_19094,c_19246,c_19340,c_19346,c_20774,c_20913,c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,c_22467,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25030,c_25989,c_26105,c_26103,c_26603,c_26604,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_29330,c_33333,c_33461,c_33694,c_33893,c_34088,c_35201,c_36100,c_38487,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_40255,c_44109,c_44248,c_44601,c_49003,c_49014,c_51437,c_62013,c_63683,c_68261,c_68501,c_68565,c_68612,c_68690,c_68975,c_68974,c_69063,c_69096,c_69349,c_74870,c_76914,c_77138,c_77143,c_90409,c_95072,c_102572,c_107767,c_112325,c_112444,c_115073,c_115060,c_115256,c_127540,c_138057,c_138066,c_138069,c_138092,c_142413,c_145078,c_148192])).++cnf(c_149600,plain,+ ( op2(e20,e22) = op2(e23,e21)+ | op2(e20,e22) != e21 ),+ inference(renaming,[status(thm)],[c_149599])).++cnf(c_139501,plain,+ ( op2(e20,e22) = op2(X0,X1)+ | e20 != X0+ | e22 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_140934,plain,+ ( op2(e20,e22) = op2(op2(e20,e20),X0)+ | e20 != op2(e20,e20)+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_139501])).++cnf(c_147931,plain,+ ( op2(e20,e22) = op2(op2(e20,e20),op2(e22,e21))+ | e20 != op2(e20,e20)+ | e22 != op2(e22,e21) ),+ inference(instantiation,[status(thm)],[c_140934])).++cnf(c_149,plain,+ ( op2(e23,e20) != op2(e23,e21) ),+ inference(cnf_transformation,[],[f246])).++cnf(c_16652,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e20) = op2(e23,e21)+ | op2(e23,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17291,plain,+ ( op2(e23,e20) = op2(e23,e21)+ | op2(e23,e20) != e22+ | op2(e23,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_16652])).++cnf(c_17544,plain,+ ( e20 != op2(e20,e20)+ | e20 = e22+ | e22 != op2(e20,e20) ),+ inference(instantiation,[status(thm)],[c_16753])).++cnf(c_16670,plain,+ ( op2(e21,e21) != X0+ | op2(e21,e21) = op2(e21,e22)+ | op2(e21,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18978,plain,+ ( op2(e21,e21) != op2(e21,e21)+ | op2(e21,e21) = op2(e21,e22)+ | op2(e21,e22) != op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_16670])).++cnf(c_23146,plain,+ ( op2(e22,e21) != e22+ | e22 = op2(e22,e21)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_19519])).++cnf(c_25034,plain,+ ( op2(e20,e20) != e22+ | e22 = op2(e20,e20)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_19519])).++cnf(c_17793,plain,+ ( op2(e20,e22) = op2(X0,X1)+ | e20 != X0+ | e22 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_20368,plain,+ ( op2(e20,e22) = op2(op2(e20,e20),X0)+ | e20 != op2(e20,e20)+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_17793])).++cnf(c_28131,plain,+ ( op2(e20,e22) = op2(op2(e20,e20),op2(e22,e21))+ | e20 != op2(e20,e20)+ | e22 != op2(e22,e21) ),+ inference(instantiation,[status(thm)],[c_20368])).++cnf(c_31682,plain,+ ( X0 != e22+ | op2(e20,e21) = X0+ | op2(e20,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_30564])).++cnf(c_33768,plain,+ ( op2(e20,e21) = op2(e23,e20)+ | op2(e20,e21) != e22+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_31682])).++cnf(c_29610,plain,+ ( op2(e20,e21) != X0+ | op2(e20,e21) = op2(e22,e21)+ | op2(e22,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_39366,plain,+ ( op2(e20,e21) = op2(e22,e21)+ | op2(e20,e21) != op2(e23,e20)+ | op2(e22,e21) != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_29610])).++cnf(c_44749,plain,+ ( op2(e21,e21) != e22+ | op2(e21,e22) = op2(e21,e21)+ | op2(e21,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_31136])).++cnf(c_159159,plain,+ ( e20 != op2(e20,e20)+ | op2(e20,e22) = op2(op2(e20,e20),op2(e22,e21)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_147931,c_257,c_256,c_255,c_203,c_202,c_200,c_199,c_198,c_191,c_187,c_155,c_153,c_90,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17544,c_17554,c_18617,c_19346,c_21159,c_21422,c_22510,c_23146,c_23147,c_23297,c_25034,c_26105,c_26103,c_26603,c_26610,c_27945,c_28131,c_33893,c_34075,c_34088,c_36100,c_38580,c_38896,c_39778,c_49003,c_51437,c_68975,c_68974,c_95072,c_102572,c_112325,c_138078,c_159105])).++cnf(c_159160,plain,+ ( op2(e20,e22) = op2(op2(e20,e20),op2(e22,e21))+ | e20 != op2(e20,e20) ),+ inference(renaming,[status(thm)],[c_159159])).++cnf(c_138216,plain,+ ( op2(e20,e22) != X0+ | op2(e20,e22) = op2(e20,e23)+ | op2(e20,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139493,plain,+ ( op2(e20,e22) != X0+ | op2(e20,e23) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138216,c_162,c_16678])).++cnf(c_139500,plain,+ ( op2(e20,e22) != op2(X0,X1)+ | op2(e20,e23) != op2(X0,X1) ),+ inference(instantiation,[status(thm)],[c_139493])).++cnf(c_159167,plain,+ ( op2(e20,e22) != op2(op2(e20,e20),op2(e22,e21))+ | op2(e20,e23) != op2(op2(e20,e20),op2(e22,e21)) ),+ inference(instantiation,[status(thm)],[c_139500])).++cnf(c_225126,plain,+ ( op2(e23,e21) = e23+ | op2(e23,e21) = e22+ | op2(e23,e21) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_50,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,c_176,c_166,c_164,c_155,c_153,c_95,c_90,c_88,c_87,c_77,c_61,c_1865,c_16905,c_17261,c_17300,c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,c_17740,c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,c_19094,c_19246,c_19335,c_19346,c_19400,c_20804,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_23147,c_23671,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,c_99363,c_102572,c_107767,c_107924,c_112325,c_115073,c_138084,c_149258,c_149600,c_159160,c_159167])).++cnf(c_225127,plain,+ ( op2(e23,e21) = e21+ | op2(e23,e21) = e22+ | op2(e23,e21) = e23 ),+ inference(renaming,[status(thm)],[c_225126])).++cnf(c_225180,plain,+ ( op2(e21,e21) = e22+ | op2(e22,e21) = e22+ | op2(e23,e21) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_82,c_257,c_256,c_255,c_203,c_202,c_200,c_199,c_198,c_191,c_189,c_187,c_184,c_179,c_175,c_172,c_170,c_168,c_166,c_155,c_153,c_149,c_148,c_91,c_90,c_88,c_83,c_77,c_75,c_67,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_17816,c_17835,c_17842,c_18617,c_18984,c_19346,c_19400,c_19398,c_19411,c_21159,c_21422,c_22510,c_23147,c_24684,c_24688,c_25036,c_26105,c_26103,c_26603,c_26610,c_27945,c_33768,c_33893,c_34088,c_36100,c_38045,c_38044,c_38580,c_38896,c_39366,c_39778,c_44784,c_44824,c_49003,c_51437,c_68148,c_68975,c_68974,c_69423,c_70839,c_71340,c_90237,c_95072,c_95411,c_101640,c_102572,c_107924,c_112325,c_131061,c_142969,c_149072,c_149258,c_225131])).++cnf(c_230940,plain,+ ( op2(e21,e21) = e22+ | op2(e22,e21) = e22+ | op2(e23,e21) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_82,c_225180])).++cnf(c_62175,plain,+ ( X0 != op2(e20,e22)+ | X0 = e23+ | e23 != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_61127])).++cnf(c_68131,plain,+ ( op2(e23,e21) != op2(e20,e22)+ | op2(e23,e21) = e23+ | e23 != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_62175])).++cnf(c_152990,plain,+ ( op2(e22,e23) != op2(e23,e22)+ | op2(e22,e23) = e23+ | e23 != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_141748])).++cnf(c_17711,plain,+ ( op2(e22,e23) != X0+ | op2(e22,e23) = e23+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_23373,plain,+ ( op2(e22,e23) != op2(e22,e23)+ | op2(e22,e23) = e23+ | e23 != op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_17711])).++cnf(c_152991,plain,+ ( op2(e22,e23) != op2(e23,e22)+ | e23 = op2(e22,e23)+ | e23 != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_141584])).++cnf(c_140290,plain,+ ( op2(e22,e23) != e23+ | e23 = op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_140288])).++cnf(c_164608,plain,+ ( e23 = op2(e22,e23)+ | e23 != op2(e23,e22) ),+ inference(global_propositional_subsumption,[status(thm)],[c_152991,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_176,c_175,c_174,c_171,c_166,c_163,c_162,c_160,c_159,c_158,c_155,c_153,c_144,c_90,c_89,c_88,c_87,c_77,c_71,c_68,c_67,c_64,c_57,c_1865,c_1969,c_16905,c_17253,c_17254,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17740,c_17760,c_17770,c_17786,c_17799,c_17800,c_17853,c_17931,c_18615,c_18616,c_18617,c_18984,c_18997,c_19246,c_19346,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,c_22081,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_29330,c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39778,c_40255,c_40399,c_44248,c_44601,c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,c_68974,c_69063,c_74870,c_76914,c_77143,c_95072,c_102572,c_107767,c_112325,c_112444,c_115060,c_138057,c_138069,c_138092,c_140290])).++cnf(c_169584,plain,+ ( op2(e22,e23) = e23+ | e23 != op2(e23,e22) ),+ inference(global_propositional_subsumption,[status(thm)],[c_152990,c_17835,c_23373,c_164608])).++cnf(c_226621,plain,+ ( X0 != X1+ | op2(e23,e21) != X1+ | op2(e23,e21) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_228115,plain,+ ( X0 != e21+ | op2(e23,e21) = X0+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_226621])).++cnf(c_232127,plain,+ ( op2(e20,e22) != e21+ | op2(e23,e21) = op2(e20,e22)+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_228115])).++cnf(c_30482,plain,+ ( op2(e21,e23) != X0+ | op2(e21,e23) = e23+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_47912,plain,+ ( op2(e21,e23) != op2(e20,e22)+ | op2(e21,e23) = e23+ | e23 != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_30482])).++cnf(c_112692,plain,+ ( op2(e20,e22) != op2(e20,e22)+ | op2(e20,e22) = e21+ | e21 != op2(e20,e22) ),+ inference(instantiation,[status(thm)],[c_61542])).++cnf(c_153345,plain,+ ( X0 != op2(e23,e21)+ | op2(e21,e23) = X0+ | op2(e21,e23) != op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_139566])).++cnf(c_183278,plain,+ ( op2(e20,e22) != op2(e23,e21)+ | op2(e21,e23) = op2(e20,e22)+ | op2(e21,e23) != op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_153345])).++cnf(c_230570,plain,+ ( op2(e20,e22) = e23+ | op2(e20,e22) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_61,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_187,c_179,c_178,c_166,c_155,c_153,c_90,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17790,c_17816,c_18617,c_19346,c_19400,c_21017,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33694,c_33893,c_34088,c_36100,c_38580,c_38896,c_39126,c_39778,c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,c_95072,c_102572,c_107924,c_112325,c_149258])).++cnf(c_230571,plain,+ ( op2(e20,e22) = e21+ | op2(e20,e22) = e23 ),+ inference(renaming,[status(thm)],[c_230570])).++cnf(c_265,plain,+ ( e21 = h2(e12) ),+ inference(cnf_transformation,[],[f322])).++cnf(c_224701,plain,+ ( X0 != h2(e12)+ | X0 = e21 ),+ inference(resolution,[status(thm)],[c_16532,c_265])).++cnf(c_224858,plain,+ ( h2(e12) = e21 ),+ inference(resolution,[status(thm)],[c_224701,c_16531])).++cnf(c_224862,plain,+ ( X0 = h2(e12)+ | X0 != e21 ),+ inference(resolution,[status(thm)],[c_224858,c_16532])).++cnf(c_224947,plain,+ ( X0 = X1+ | X0 != h2(e12)+ | X1 != e21 ),+ inference(resolution,[status(thm)],[c_224862,c_16532])).++cnf(c_230241,plain,+ ( X0 != e21+ | e21 = X0 ),+ inference(resolution,[status(thm)],[c_224947,c_265])).++cnf(c_230605,plain,+ ( op2(e20,e22) = e23+ | e21 = op2(e20,e22) ),+ inference(resolution,[status(thm)],[c_230571,c_230241])).++cnf(c_231021,plain,+ ( e21 = op2(e20,e22)+ | e23 = op2(e20,e22) ),+ inference(resolution,[status(thm)],[c_231004,c_230605])).++cnf(c_226071,plain,+ ( X0 != X1+ | op2(e20,e22) != X1+ | op2(e20,e22) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_227118,plain,+ ( X0 != e21+ | op2(e20,e22) = X0+ | op2(e20,e22) != e21 ),+ inference(instantiation,[status(thm)],[c_226071])).++cnf(c_231606,plain,+ ( op2(e20,e22) = op2(e23,e21)+ | op2(e20,e22) != e21+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_227118])).++cnf(c_168,plain,+ ( op2(e22,e23) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f227])).++cnf(c_145,plain,+ ( op2(e23,e21) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f250])).++cnf(c_91,plain,+ ( op2(e20,e20) = e22+ | op2(e20,e21) = e22+ | op2(e20,e22) = e22+ | op2(e20,e23) = e22 ),+ inference(cnf_transformation,[],[f128])).++cnf(c_48,plain,+ ( op2(e23,e23) = e21+ | op2(e23,e23) = e22+ | op2(e23,e23) = e23+ | e20 = op2(e23,e23) ),+ inference(cnf_transformation,[],[f123])).++cnf(c_1891,plain,+ ( sP4+ | sP5+ | op2(e21,op2(e20,e21)) = e21+ | op2(e22,op2(e23,e22)) = e22 ),+ inference(resolution,[status(thm)],[c_249,c_246])).++cnf(c_16690,plain,+ ( op2(e22,e23) != X0+ | op2(e22,e23) = op2(e23,e23)+ | op2(e23,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17834,plain,+ ( op2(e22,e23) != op2(e22,e23)+ | op2(e22,e23) = op2(e23,e23)+ | op2(e23,e23) != op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_16690])).++cnf(c_17957,plain,+ ( op2(e20,e21) = op2(e23,e21)+ | op2(e20,e21) != e21+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_16720])).++cnf(c_16644,plain,+ ( op2(e23,e21) != X0+ | op2(e23,e21) = op2(e23,e23)+ | op2(e23,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_22698,plain,+ ( op2(e23,e21) = op2(e23,e23)+ | op2(e23,e21) != e21+ | op2(e23,e23) != e21 ),+ inference(instantiation,[status(thm)],[c_16644])).++cnf(c_25029,plain,+ ( op2(e20,e20) = op2(e23,e20)+ | op2(e20,e20) != e22+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_16732])).++cnf(c_27238,plain,+ ( op2(e21,op2(e20,e21)) != e21+ | op2(e22,e20) = op2(e21,op2(e20,e21))+ | op2(e22,e20) != e21 ),+ inference(instantiation,[status(thm)],[c_18492])).++cnf(c_34079,plain,+ ( op2(e22,op2(e23,e22)) != e22+ | op2(e22,e23) = op2(e22,op2(e23,e22))+ | op2(e22,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_32014])).++cnf(c_31516,plain,+ ( op2(e22,e23) != X0+ | op2(e23,e23) != X0+ | op2(e23,e23) = op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_40588,plain,+ ( op2(e22,e23) != e23+ | op2(e23,e23) = op2(e22,e23)+ | op2(e23,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_31516])).++cnf(c_59557,plain,+ ( op2(e21,e20) != X0+ | op2(e21,e20) = op2(e22,e20)+ | op2(e22,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_69342,plain,+ ( op2(e21,e20) != op2(e21,op2(e20,e21))+ | op2(e21,e20) = op2(e22,e20)+ | op2(e22,e20) != op2(e21,op2(e20,e21)) ),+ inference(instantiation,[status(thm)],[c_59557])).++cnf(c_112554,plain,+ ( op2(e22,e22) = op2(e22,op2(e23,e22))+ | e22 != op2(e23,e22)+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_61103])).++cnf(c_51,plain,+ ( op2(e23,e20) = e21+ | op2(e23,e20) = e22+ | op2(e23,e20) = e23+ | e20 = op2(e23,e20) ),+ inference(cnf_transformation,[],[f120])).++cnf(c_138040,plain,+ ( op2(e23,e20) = e22+ | e20 = op2(e23,e20) ),+ inference(global_propositional_subsumption,[status(thm)],[c_51,c_257,c_256,c_255,c_187,c_186,c_16905,c_17300,c_17427,c_17431,c_18617,c_20866,c_21159,c_26104,c_26610,c_27945,c_38896,c_51437,c_95072,c_102572])).++cnf(c_52,plain,+ ( op2(e22,e23) = e21+ | op2(e22,e23) = e22+ | op2(e22,e23) = e23+ | e20 = op2(e22,e23) ),+ inference(cnf_transformation,[],[f119])).++cnf(c_17260,plain,+ ( op2(e23,e21) != op2(e23,e21)+ | op2(e23,e21) = op2(e23,e23)+ | op2(e23,e23) != op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_16644])).++cnf(c_17620,plain,+ ( op2(e23,e21) != X0+ | op2(e23,e23) != X0+ | op2(e23,e23) = op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19866,plain,+ ( op2(e23,e21) != e23+ | op2(e23,e23) = op2(e23,e21)+ | op2(e23,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_17620])).++cnf(c_16745,plain,+ ( e22 != X0+ | e22 = e23+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_26679,plain,+ ( e22 != op2(e22,e21)+ | e22 = e23+ | e23 != op2(e22,e21) ),+ inference(instantiation,[status(thm)],[c_16745])).++cnf(c_139144,plain,+ ( X0 != X1+ | e22 != X1+ | e22 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_140708,plain,+ ( X0 != e22+ | e22 = X0+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_139144])).++cnf(c_142397,plain,+ ( e22 = X0+ | X0 != e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_140708,c_17427,c_19519])).++cnf(c_142398,plain,+ ( X0 != e22+ | e22 = X0 ),+ inference(renaming,[status(thm)],[c_142397])).++cnf(c_142400,plain,+ ( op2(e22,e21) != e22+ | e22 = op2(e22,e21) ),+ inference(instantiation,[status(thm)],[c_142398])).++cnf(c_141753,plain,+ ( X0 != op2(e20,e21)+ | X0 = e23+ | e23 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_140296])).++cnf(c_153231,plain,+ ( op2(e22,e23) != op2(e20,e21)+ | op2(e22,e23) = e23+ | e23 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_141753])).++cnf(c_153232,plain,+ ( op2(e22,e23) != op2(e20,e21)+ | e23 != op2(e20,e21)+ | e23 = op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_141652])).++cnf(c_164658,plain,+ ( e23 != op2(e20,e21)+ | e23 = op2(e22,e23) ),+ inference(global_propositional_subsumption,[status(thm)],[c_153232,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_187,c_179,c_178,c_177,c_175,c_174,c_166,c_164,c_155,c_153,c_90,c_88,c_77,c_61,c_49,c_16905,c_17254,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_17790,c_17806,c_17816,c_17914,c_17915,c_18617,c_18971,c_19346,c_19400,c_20774,c_21017,c_21159,c_21422,c_22085,c_22510,c_23147,c_25989,c_26105,c_26103,c_26603,c_26610,c_27945,c_33694,c_33893,c_34088,c_36100,c_38580,c_38896,c_39126,c_39778,c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,c_95072,c_102572,c_107924,c_108004,c_112325,c_138050,c_139658,c_143356,c_149258,c_164608])).++cnf(c_169629,plain,+ ( op2(e22,e23) = e23+ | e23 != op2(e20,e21) ),+ inference(global_propositional_subsumption,[status(thm)],[c_153231,c_17835,c_23373,c_164658])).++cnf(c_225130,plain,+ ( op2(e22,e23) = e23+ | op2(e22,e23) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_52,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_176,c_175,c_174,c_171,c_166,c_163,c_162,c_161,c_160,c_159,c_158,c_155,c_153,c_145,c_90,c_89,c_88,c_87,c_80,c_77,c_75,c_71,c_68,c_67,c_64,c_57,c_1865,c_1969,c_16905,c_17254,c_17260,c_17261,c_17300,c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_17556,c_17740,c_17760,c_17770,c_17778,c_17786,c_17799,c_17800,c_17853,c_17931,c_18615,c_18616,c_18617,c_18656,c_18984,c_18997,c_19246,c_19346,c_19866,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,c_26679,c_27237,c_27239,c_27939,c_27945,c_29330,c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39778,c_40255,c_44248,c_44601,c_44824,c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,c_68974,c_69063,c_74870,c_76914,c_77143,c_95072,c_102572,c_107767,c_112325,c_112444,c_115060,c_138057,c_138069,c_138092,c_140292,c_142400,c_169629])).++cnf(c_225131,plain,+ ( op2(e22,e23) = e22+ | op2(e22,e23) = e23 ),+ inference(renaming,[status(thm)],[c_225130])).++cnf(c_225358,plain,+ ( op2(e20,e21) != X0+ | op2(e20,e21) = op2(e22,e21)+ | op2(e22,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_226625,plain,+ ( op2(e20,e21) != X0+ | op2(e22,e21) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_225358,c_184,c_16722])).++cnf(c_226627,plain,+ ( op2(e20,e21) != e22+ | op2(e22,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_226625])).++cnf(c_17797,plain,+ ( op2(e20,e21) = op2(e20,e23)+ | op2(e20,e21) != e22+ | op2(e20,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_16680])).++cnf(c_19399,plain,+ ( op2(e20,e20) != op2(e20,e20)+ | op2(e20,e20) = op2(e20,e21)+ | op2(e20,e21) != op2(e20,e20) ),+ inference(instantiation,[status(thm)],[c_16688])).++cnf(c_44675,plain,+ ( op2(e20,e20) != e22+ | op2(e20,e21) = op2(e20,e20)+ | op2(e20,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_31682])).++cnf(c_156,plain,+ ( op2(e21,e22) != op2(e21,e23) ),+ inference(cnf_transformation,[],[f239])).++cnf(c_147,plain,+ ( op2(e23,e20) != op2(e23,e23) ),+ inference(cnf_transformation,[],[f248])).++cnf(c_16648,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e20) = op2(e23,e23)+ | op2(e23,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17273,plain,+ ( op2(e23,e20) = op2(e23,e23)+ | op2(e23,e20) != e22+ | op2(e23,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_16648])).++cnf(c_16666,plain,+ ( op2(e21,e22) != X0+ | op2(e21,e22) = op2(e21,e23)+ | op2(e21,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_18985,plain,+ ( op2(e21,e22) = op2(e21,e23)+ | op2(e21,e22) != e22+ | op2(e21,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_16666])).++cnf(c_139377,plain,+ ( op2(e22,e23) != X0+ | op2(e22,e23) = e22+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_147915,plain,+ ( op2(e22,e23) != op2(e23,e20)+ | op2(e22,e23) = e22+ | e22 != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_139377])).++cnf(c_31066,plain,+ ( X0 != op2(e23,e20)+ | op2(e23,e20) = X0+ | op2(e23,e20) != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_30107])).++cnf(c_38261,plain,+ ( op2(e23,e20) != op2(e23,e20)+ | op2(e23,e20) = e22+ | e22 != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_31066])).++cnf(c_59541,plain,+ ( op2(e20,e23) != X0+ | op2(e20,e23) = op2(e22,e23)+ | op2(e22,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_101640,plain,+ ( op2(e20,e23) = op2(e22,e23)+ | op2(e20,e23) != op2(e23,e20)+ | op2(e22,e23) != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_59541])).++cnf(c_145080,plain,+ ( op2(e20,e23) = op2(e23,e20)+ | op2(e20,e23) != e22+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_141974])).++cnf(c_131061,plain,+ ( op2(e20,e23) = op2(e23,e20)+ | op2(e20,e23) != e22+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_117825])).++cnf(c_155873,plain,+ ( op2(e20,e23) = op2(e23,e20)+ | op2(e23,e20) != e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_145080,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_189,c_187,c_184,c_179,c_166,c_155,c_153,c_91,c_90,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17816,c_18617,c_19346,c_19400,c_19398,c_21159,c_21422,c_22510,c_23147,c_25036,c_26105,c_26103,c_26603,c_26610,c_27945,c_33768,c_33893,c_34088,c_36100,c_38580,c_38896,c_39366,c_39778,c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,c_95072,c_102572,c_107924,c_112325,c_131061,c_149072,c_149258])).++cnf(c_159105,plain,+ ( op2(e22,e23) != op2(e23,e20)+ | e22 != op2(e23,e20) ),+ inference(global_propositional_subsumption,[status(thm)],[c_147915,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_189,c_187,c_184,c_179,c_172,c_166,c_155,c_153,c_91,c_90,c_88,c_77,c_16905,c_17276,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17816,c_18617,c_19346,c_19400,c_19398,c_21159,c_21422,c_22510,c_23147,c_25036,c_26105,c_26103,c_26603,c_26610,c_27945,c_33768,c_33893,c_34088,c_36100,c_38261,c_38580,c_38896,c_39366,c_39778,c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,c_95072,c_101640,c_102572,c_107924,c_112325,c_131061,c_149072,c_149258])).++cnf(c_225198,plain,+ ( op2(e20,e20) = e22+ | op2(e20,e23) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_91,c_257,c_256,c_255,c_203,c_202,c_200,c_199,c_198,c_191,c_189,c_187,c_184,c_179,c_172,c_168,c_166,c_156,c_155,c_153,c_149,c_148,c_147,c_90,c_88,c_77,c_74,c_67,c_66,c_16905,c_17273,c_17283,c_17300,c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_17816,c_17835,c_18617,c_18985,c_19346,c_19400,c_19398,c_21159,c_21422,c_22510,c_23147,c_24684,c_24688,c_25036,c_26105,c_26103,c_26603,c_26610,c_27945,c_33768,c_33893,c_34088,c_36100,c_38045,c_38044,c_38580,c_38896,c_39366,c_39778,c_44824,c_49003,c_51437,c_68148,c_68975,c_68974,c_69423,c_70839,c_71340,c_90237,c_95072,c_95411,c_101640,c_102572,c_107924,c_112325,c_131061,c_142969,c_149072,c_149258,c_225131])).++cnf(c_227586,plain,+ ( op2(e20,e21) != e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_226627,c_167,c_163,c_17797,c_17816,c_19399,c_44675,c_225198])).++cnf(c_225917,plain,+ ( X0 != X1+ | op2(e23,e23) != X1+ | op2(e23,e23) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_226979,plain,+ ( X0 != op2(e23,e23)+ | op2(e23,e23) = X0+ | op2(e23,e23) != op2(e23,e23) ),+ inference(instantiation,[status(thm)],[c_225917])).++cnf(c_50834,plain,+ ( op2(e23,e23) = op2(e23,e23) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_228256,plain,+ ( op2(e23,e23) = X0+ | X0 != op2(e23,e23) ),+ inference(global_propositional_subsumption,[status(thm)],[c_226979,c_50834])).++cnf(c_228257,plain,+ ( X0 != op2(e23,e23)+ | op2(e23,e23) = X0 ),+ inference(renaming,[status(thm)],[c_228256])).++cnf(c_228258,plain,+ ( op2(e23,e23) = e20+ | e20 != op2(e23,e23) ),+ inference(instantiation,[status(thm)],[c_228257])).++cnf(c_225321,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e20) = op2(e23,e23)+ | op2(e23,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17275,plain,+ ( op2(e23,e20) != op2(e23,e20)+ | op2(e23,e20) = op2(e23,e23)+ | op2(e23,e23) != op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_16648])).++cnf(c_17631,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e23) != X0+ | op2(e23,e23) = op2(e23,e20) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_225935,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e23) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_225321,c_147,c_17275,c_17276,c_17631])).++cnf(c_231306,plain,+ ( op2(e23,e20) != e20+ | op2(e23,e23) != e20 ),+ inference(instantiation,[status(thm)],[c_225935])).++cnf(c_225324,plain,+ ( op2(e22,e22) != X0+ | op2(e22,e22) = op2(e22,e23)+ | op2(e22,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_150,plain,+ ( op2(e22,e22) != op2(e22,e23) ),+ inference(cnf_transformation,[],[f245])).++cnf(c_16654,plain,+ ( op2(e22,e22) != X0+ | op2(e22,e22) = op2(e22,e23)+ | op2(e22,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_225958,plain,+ ( op2(e22,e22) != X0+ | op2(e22,e23) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_225324,c_150,c_16654])).++cnf(c_225964,plain,+ ( op2(e22,e22) != op2(X0,X1)+ | op2(e22,e23) != op2(X0,X1) ),+ inference(instantiation,[status(thm)],[c_225958])).++cnf(c_234170,plain,+ ( op2(e22,e22) != op2(e22,op2(e23,e22))+ | op2(e22,e23) != op2(e22,op2(e23,e22)) ),+ inference(instantiation,[status(thm)],[c_225964])).++cnf(c_237769,plain,+ ( op2(e20,e22) = op2(e23,e21)+ | op2(e23,e21) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_231606,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,c_200,c_199,c_198,c_191,c_189,c_188,c_187,c_186,c_183,c_179,c_178,c_177,c_176,c_168,c_167,c_166,c_164,c_163,c_155,c_153,c_146,c_145,c_144,c_90,c_88,c_87,c_77,c_62,c_61,c_51,c_48,c_1891,c_16905,c_17276,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_17790,c_17797,c_17800,c_17816,c_17834,c_17835,c_17913,c_17957,c_18617,c_18997,c_19094,c_19346,c_19400,c_19399,c_20866,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_22582,c_22698,c_22697,c_23147,c_23671,c_25029,c_26105,c_26104,c_26103,c_26603,c_26610,c_27237,c_27238,c_27945,c_28198,c_33461,c_33694,c_33893,c_34079,c_34088,c_36100,c_38592,c_38580,c_38896,c_38949,c_39126,c_39778,c_40588,c_44248,c_44675,c_49003,c_51437,c_63683,c_68501,c_68975,c_68974,c_69342,c_69423,c_71340,c_90234,c_90241,c_95072,c_102572,c_107767,c_107924,c_112325,c_112554,c_112692,c_115073,c_138039,c_149258,c_149600,c_157089,c_157091,c_225131,c_225198,c_228258,c_231021,c_231306,c_234170])).++cnf(c_226539,plain,+ ( X0 != X1+ | op2(e21,e23) != X1+ | op2(e21,e23) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_227669,plain,+ ( X0 != e21+ | op2(e21,e23) = X0+ | op2(e21,e23) != e21 ),+ inference(instantiation,[status(thm)],[c_226539])).++cnf(c_232041,plain,+ ( op2(e21,e23) = op2(e23,e21)+ | op2(e21,e23) != e21+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_227669])).++cnf(c_59531,plain,+ ( op2(e20,e22) != X0+ | op2(e20,e22) = op2(e20,e23)+ | op2(e20,e23) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_60455,plain,+ ( op2(e20,e22) != op2(X0,X1)+ | op2(e20,e22) = op2(e20,e23)+ | op2(e20,e23) != op2(X0,X1) ),+ inference(instantiation,[status(thm)],[c_59531])).++cnf(c_69469,plain,+ ( op2(e20,e22) = op2(e20,e23)+ | op2(e20,e22) != op2(e23,e21)+ | op2(e20,e23) != op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_60455])).++cnf(c_115257,plain,+ ( op2(e20,e23) = op2(e23,e21)+ | op2(e20,e23) != e21+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_62365])).++cnf(c_60494,plain,+ ( X0 != X1+ | op2(e21,e23) != X1+ | op2(e21,e23) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_77141,plain,+ ( X0 != e21+ | op2(e21,e23) = X0+ | op2(e21,e23) != e21 ),+ inference(instantiation,[status(thm)],[c_60494])).++cnf(c_126612,plain,+ ( op2(e21,e23) = op2(e23,e21)+ | op2(e21,e23) != e21+ | op2(e23,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_77141])).++cnf(c_238349,plain,+ ( op2(e21,e23) = op2(e23,e21)+ | op2(e23,e21) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_232041,c_257,c_256,c_162,c_153,c_145,c_68,c_17349,c_17350,c_17427,c_21159,c_22698,c_26103,c_34088,c_69469,c_115257,c_126612,c_237769])).++cnf(c_238931,plain,+ ( op2(e23,e21) = op2(e20,e22)+ | op2(e23,e21) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_232127,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_178,c_177,c_176,c_175,c_174,c_171,c_169,c_167,c_166,c_164,c_163,c_162,c_160,c_159,c_158,c_157,c_155,c_153,c_152,c_90,c_89,c_88,c_87,c_86,c_85,c_77,c_71,c_68,c_67,c_62,c_61,c_57,c_1839,c_1865,c_1943,c_1969,c_16905,c_17254,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17558,c_17740,c_17747,c_17748,c_17760,c_17770,c_17786,c_17790,c_17799,c_17800,c_17841,c_17842,c_17853,c_17915,c_17931,c_17998,c_18615,c_18616,c_18617,c_18984,c_18997,c_19044,c_19094,c_19246,c_19340,c_19346,c_20774,c_20913,c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,c_22467,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25030,c_25989,c_26105,c_26103,c_26603,c_26604,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_29330,c_33333,c_33461,c_33694,c_33893,c_34088,c_35201,c_36100,c_38487,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_40255,c_44109,c_44248,c_44601,c_47912,c_49003,c_49014,c_51437,c_62013,c_63683,c_68261,c_68501,c_68612,c_68690,c_68975,c_68974,c_69063,c_69096,c_69349,c_74870,c_76914,c_77138,c_77143,c_95072,c_102572,c_107767,c_112325,c_112444,c_112692,c_115073,c_115060,c_127540,c_138057,c_138066,c_138069,c_138092,c_142413,c_145078,c_148192,c_183278,c_231021,c_237769,c_238349])).++cnf(c_240038,plain,+ ( op2(e22,e21) = e22+ | op2(e23,e21) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_230940,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_184,c_183,c_180,c_179,c_178,c_176,c_175,c_174,c_171,c_168,c_167,c_166,c_164,c_163,c_162,c_160,c_159,c_158,c_155,c_153,c_151,c_146,c_145,c_144,c_95,c_90,c_89,c_88,c_87,c_77,c_75,c_71,c_68,c_67,c_64,c_62,c_61,c_57,c_50,c_48,c_1865,c_1891,c_1969,c_16905,c_17253,c_17254,c_17261,c_17300,c_17349,c_17350,c_17427,c_17431,c_17474,c_17476,c_17539,c_17554,c_17556,c_17740,c_17760,c_17770,c_17786,c_17790,c_17797,c_17799,c_17800,c_17816,c_17834,c_17835,c_17853,c_17931,c_17957,c_18615,c_18616,c_18617,c_18654,c_18652,c_18656,c_18984,c_18997,c_19094,c_19092,c_19246,c_19335,c_19346,c_19400,c_19399,c_20774,c_20804,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,c_22081,c_22510,c_22568,c_22593,c_22698,c_22697,c_23145,c_23147,c_23297,c_23671,c_24686,c_25031,c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,c_27237,c_27238,c_27239,c_27939,c_27945,c_29109,c_29330,c_33231,c_33461,c_33694,c_33893,c_34079,c_34088,c_35201,c_36100,c_38296,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_40255,c_40588,c_40665,c_44248,c_44601,c_44653,c_44675,c_44824,c_48118,c_49003,c_51437,c_62013,c_63683,c_68501,c_68690,c_68975,c_68974,c_69063,c_69342,c_69423,c_69667,c_71340,c_74870,c_76914,c_77143,c_90234,c_90241,c_95072,c_99363,c_102572,c_107767,c_107924,c_112325,c_112444,c_112554,c_115073,c_115060,c_138039,c_138045,c_138057,c_138069,c_138084,c_138092,c_149258,c_149600,c_159160,c_159167,c_225131,c_225198,c_234170,c_239000])).++cnf(c_240050,plain,+ ( op2(e21,e22) = e22+ | op2(e21,e23) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_231075,c_257,c_256,c_255,c_203,c_202,c_200,c_199,c_198,c_191,c_187,c_179,c_166,c_155,c_153,c_151,c_146,c_144,c_90,c_88,c_77,c_74,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_17740,c_17816,c_18617,c_18943,c_19346,c_19400,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38345,c_38580,c_38896,c_39778,c_44595,c_44824,c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,c_90234,c_95072,c_102572,c_107924,c_112325,c_112575,c_149258,c_165269,c_178764,c_230728,c_230895,c_240038])).++cnf(c_242505,plain,+ ( op2(e23,e22) != e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_241832,c_245,c_202,c_198,c_175,c_170,c_17427,c_17740,c_18971,c_28198,c_44781,c_45778,c_68875,c_90241,c_108004,c_112575,c_239027,c_240050])).++cnf(c_230737,plain,+ ( X0 = op2(e23,e20)+ | X0 != e22+ | op2(e23,e21) = e22+ | op2(e23,e22) = e22+ | op2(e23,e23) = e22 ),+ inference(resolution,[status(thm)],[c_67,c_16532])).++cnf(c_242517,plain,+ ( X0 = op2(e23,e20)+ | X0 != e22+ | op2(e23,e21) = e22+ | op2(e23,e23) = e22 ),+ inference(backward_subsumption_resolution,[status(thm)],[c_242505,c_230737])).++cnf(c_17487,plain,+ ( e20 = e20 ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_17488,plain,+ ( X0 != X1+ | e20 != X1+ | e20 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19588,plain,+ ( X0 != e20+ | e20 = X0+ | e20 != e20 ),+ inference(instantiation,[status(thm)],[c_17488])).++cnf(c_64912,plain,+ ( X0 != X1+ | X0 = h1(e10)+ | h1(e10) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_101529,plain,+ ( X0 != op2(e20,e20)+ | X0 = h1(e10)+ | h1(e10) != op2(e20,e20) ),+ inference(instantiation,[status(thm)],[c_64912])).++cnf(c_63141,plain,+ ( X0 != X1+ | X0 = op2(e23,e20)+ | op2(e23,e20) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_107913,plain,+ ( X0 = op2(e23,e20)+ | X0 != e22+ | op2(e23,e20) != e22 ),+ inference(instantiation,[status(thm)],[c_63141])).++cnf(c_138256,plain,+ ( e20 != X0+ | e20 = e22+ | e22 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139307,plain,+ ( e20 != X0+ | e22 != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138256,c_202,c_16753])).++cnf(c_139313,plain,+ ( e20 != op2(e20,e20)+ | e22 != op2(e20,e20) ),+ inference(instantiation,[status(thm)],[c_139307])).++cnf(c_164544,plain,+ ( op2(e23,e20) = op2(e23,op2(e20,e23))+ | e20 != op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_164536])).++cnf(c_230333,plain,+ ( op2(e23,e20) = e22+ | e20 = op2(e23,e20) ),+ inference(global_propositional_subsumption,[status(thm)],[c_51,c_257,c_256,c_255,c_187,c_186,c_16905,c_17300,c_17427,c_17431,c_18617,c_20866,c_21159,c_26104,c_26610,c_27945,c_38896,c_51437,c_95072,c_102572])).++cnf(c_230402,plain,+ ( X0 = op2(e23,e20)+ | X0 != e22+ | e20 = op2(e23,e20) ),+ inference(resolution,[status(thm)],[c_230333,c_16532])).++cnf(c_231005,plain,+ ( X0 != e23+ | h4(e12) = X0 ),+ inference(resolution,[status(thm)],[c_224973,c_16531])).++cnf(c_231055,plain,+ ( h4(e12) = e22+ | h3(e12) != e23 ),+ inference(resolution,[status(thm)],[c_231005,c_224706])).++cnf(c_16785,plain,+ ( h3(e12) != X0+ | e23 != X0+ | e23 = h3(e12) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17362,plain,+ ( h3(e12) != e23+ | e23 = h3(e12)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_16785])).++cnf(c_17425,plain,+ ( e22 != h3(e12)+ | e22 = e23+ | e23 != h3(e12) ),+ inference(instantiation,[status(thm)],[c_16745])).++cnf(c_231131,plain,+ ( h3(e12) != e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_231055,c_269,c_198,c_16905,c_17362,c_17425])).++cnf(c_81,plain,+ ( op2(e21,e20) = e23+ | op2(e21,e21) = e23+ | op2(e21,e22) = e23+ | op2(e21,e23) = e23 ),+ inference(cnf_transformation,[],[f138])).++cnf(c_230936,plain,+ ( op2(e21,e20) = e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_81,c_257,c_256,c_255,c_203,c_199,c_191,c_187,c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,c_19346,c_21159,c_21422,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,c_68975,c_95072,c_102572])).++cnf(c_231020,plain,+ ( e23 = op2(e21,e20) ),+ inference(resolution,[status(thm)],[c_231004,c_230936])).++cnf(c_231033,plain,+ ( X0 != op2(e21,e20)+ | X0 = e23 ),+ inference(resolution,[status(thm)],[c_231020,c_16532])).++cnf(c_230648,plain,+ ( X0 != e22+ | h3(e12) = X0 ),+ inference(resolution,[status(thm)],[c_224962,c_16531])).++cnf(c_231119,plain,+ ( op2(e21,e20) != e22+ | h3(e12) = e23 ),+ inference(resolution,[status(thm)],[c_231033,c_230648])).++cnf(c_231137,plain,+ ( op2(e21,e20) != e22 ),+ inference(backward_subsumption_resolution,[status(thm)],[c_231131,c_231119])).++cnf(c_55,plain,+ ( op2(e22,e20) = e21+ | op2(e22,e20) = e22+ | op2(e22,e20) = e23+ | e20 = op2(e22,e20) ),+ inference(cnf_transformation,[],[f116])).++cnf(c_230351,plain,+ ( op2(e22,e20) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_55,c_257,c_256,c_203,c_155,c_153,c_77,c_17349,c_17350,c_17427,c_17431,c_17554,c_21159,c_21422,c_26105,c_26103,c_34088,c_36100])).++cnf(c_230358,plain,+ ( e21 = op2(e22,e20) ),+ inference(resolution,[status(thm)],[c_230351,c_230241])).++cnf(c_230361,plain,+ ( X0 != op2(e22,e20)+ | X0 = e21 ),+ inference(resolution,[status(thm)],[c_230358,c_16532])).++cnf(c_230688,plain,+ ( op2(e22,e20) != e22+ | h3(e12) = e21 ),+ inference(resolution,[status(thm)],[c_230648,c_230361])).++cnf(c_230856,plain,+ ( op2(e22,e20) != e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_230688,c_257,c_256,c_203,c_200,c_155,c_153,c_77,c_17349,c_17350,c_17427,c_17431,c_17554,c_21159,c_21422,c_26105,c_26103,c_26603,c_34088,c_36100,c_49003,c_68974])).++cnf(c_230862,plain,+ ( op2(e20,e20) = e22+ | op2(e21,e20) = e22+ | op2(e23,e20) = e22 ),+ inference(backward_subsumption_resolution,[status(thm)],[c_230856,c_90])).++cnf(c_231141,plain,+ ( op2(e20,e20) = e22+ | op2(e23,e20) = e22 ),+ inference(backward_subsumption_resolution,[status(thm)],[c_231137,c_230862])).++cnf(c_239084,plain,+ ( X0 = op2(e20,e20)+ | X0 != e22+ | op2(e23,e20) = e22 ),+ inference(resolution,[status(thm)],[c_231141,c_16532])).++cnf(c_239085,plain,+ ( op2(e23,e20) = e22+ | e22 = op2(e20,e20) ),+ inference(resolution,[status(thm)],[c_231141,c_230647])).++cnf(c_239117,plain,+ ( X0 = op2(e23,e20)+ | X0 != e22+ | e22 = op2(e20,e20) ),+ inference(resolution,[status(thm)],[c_239085,c_16532])).++cnf(c_224694,plain,+ ( X0 = op2(e20,e20)+ | X0 != h1(e10) ),+ inference(resolution,[status(thm)],[c_16532,c_260])).++cnf(c_240278,plain,+ ( X0 = op2(X1,X2)+ | X0 != h1(e10)+ | X1 != e20+ | X2 != e20 ),+ inference(resolution,[status(thm)],[c_224826,c_224694])).++cnf(c_251,plain,+ ( sP3+ | sP4+ | sP5+ | e20 = op2(e20,op2(e23,e20)) ),+ inference(cnf_transformation,[],[f308])).++cnf(c_224631,plain,+ ( sP3+ | e20 = op2(e20,op2(e23,e20)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_251,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,c_200,c_199,c_191,c_188,c_187,c_176,c_155,c_153,c_88,c_87,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_18617,c_18997,c_19346,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_23671,c_26105,c_26103,c_26603,c_26610,c_27237,c_27945,c_33461,c_33893,c_34088,c_36100,c_38592,c_38580,c_38896,c_38949,c_39778,c_44248,c_51437,c_68501,c_68975,c_95072,c_102572,c_107767])).++cnf(c_224685,plain,+ ( sP3+ | X0 != op2(e20,op2(e23,e20))+ | X0 = e20 ),+ inference(resolution,[status(thm)],[c_16532,c_224631])).++cnf(c_254460,plain,+ ( sP3+ | X0 != h1(e10)+ | X0 = e20+ | op2(e23,e20) != e20+ | e20 != e20 ),+ inference(resolution,[status(thm)],[c_240278,c_224685])).++cnf(c_254461,plain,+ ( sP3+ | X0 != h1(e10)+ | X0 = e20+ | op2(e23,e20) != e20 ),+ inference(equality_resolution_simp,[status(thm)],[c_254460])).++cnf(c_255240,plain,+ ( X0 = op2(e23,e20)+ | X0 != e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_242517,c_260,c_257,c_256,c_255,c_246,c_244,c_203,c_202,c_188,c_187,c_178,c_155,c_153,c_95,c_77,c_16753,c_16905,c_17276,c_17300,c_17349,c_17350,c_17427,c_17431,c_17487,c_17554,c_17790,c_18617,c_19246,c_19588,c_21017,c_21159,c_21422,c_22582,c_23192,c_26105,c_26103,c_26610,c_27238,c_27945,c_33694,c_34088,c_36100,c_38896,c_39126,c_48118,c_51437,c_59360,c_63683,c_69342,c_95072,c_101529,c_102572,c_107913,c_139313,c_142398,c_164544,c_230402,c_239084,c_239117,c_254461])).++cnf(c_255252,plain,+ ( op2(e20,e20) != e22 ),+ inference(resolution,[status(thm)],[c_255240,c_189])).++cnf(c_352317,plain,+ ( X0 != X1+ | op2(h3(e13),h3(e13)) != X1+ | op2(h3(e13),h3(e13)) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_353740,plain,+ ( X0 != op2(h3(e13),h3(e13))+ | op2(h3(e13),h3(e13)) = X0+ | op2(h3(e13),h3(e13)) != op2(h3(e13),h3(e13)) ),+ inference(instantiation,[status(thm)],[c_352317])).++cnf(c_227347,plain,+ ( op2(h3(e13),h3(e13)) = op2(h3(e13),h3(e13)) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_227349,plain,+ ( X0 != X1+ | op2(h3(e13),h3(e13)) != X1+ | op2(h3(e13),h3(e13)) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_228946,plain,+ ( X0 != op2(h3(e13),h3(e13))+ | op2(h3(e13),h3(e13)) = X0+ | op2(h3(e13),h3(e13)) != op2(h3(e13),h3(e13)) ),+ inference(instantiation,[status(thm)],[c_227349])).++cnf(c_359610,plain,+ ( op2(h3(e13),h3(e13)) = X0+ | X0 != op2(h3(e13),h3(e13)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_353740,c_227347,c_228946])).++cnf(c_359611,plain,+ ( X0 != op2(h3(e13),h3(e13))+ | op2(h3(e13),h3(e13)) = X0 ),+ inference(renaming,[status(thm)],[c_359610])).++cnf(c_359614,plain,+ ( op2(X0,X1) != op2(h3(e13),h3(e13))+ | op2(h3(e13),h3(e13)) = op2(X0,X1) ),+ inference(instantiation,[status(thm)],[c_359611])).++cnf(c_579093,plain,+ ( op2(h3(e13),h3(e13)) = op2(e23,e23)+ | op2(e23,e23) != op2(h3(e13),h3(e13)) ),+ inference(instantiation,[status(thm)],[c_359614])).++cnf(c_351654,plain,+ ( X0 != X1+ | e20 != X1+ | e20 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_353749,plain,+ ( X0 != op2(e23,e23)+ | e20 = X0+ | e20 != op2(e23,e23) ),+ inference(instantiation,[status(thm)],[c_351654])).++cnf(c_19551,plain,+ ( X0 != op2(e23,e23)+ | e20 = X0+ | e20 != op2(e23,e23) ),+ inference(instantiation,[status(thm)],[c_17488])).++cnf(c_138276,plain,+ ( h1(e12) != X0+ | e22 != X0+ | e22 = h1(e12) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_261,plain,+ ( e20 = h1(e12) ),+ inference(cnf_transformation,[],[f318])).++cnf(c_17546,plain,+ ( e20 != h1(e12)+ | e20 = e22+ | e22 != h1(e12) ),+ inference(instantiation,[status(thm)],[c_16753])).++cnf(c_139867,plain,+ ( e22 != X0+ | h1(e12) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138276,c_261,c_202,c_17546])).++cnf(c_139868,plain,+ ( h1(e12) != X0+ | e22 != X0 ),+ inference(renaming,[status(thm)],[c_139867])).++cnf(c_140339,plain,+ ( h1(e12) != e22+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_139868])).++cnf(c_224695,plain,+ ( X0 != h1(e12)+ | X0 = e20 ),+ inference(resolution,[status(thm)],[c_16532,c_261])).++cnf(c_224848,plain,+ ( h1(e12) = e20 ),+ inference(resolution,[status(thm)],[c_224695,c_16531])).++cnf(c_224852,plain,+ ( X0 = h1(e12)+ | X0 != e20 ),+ inference(resolution,[status(thm)],[c_224848,c_16532])).++cnf(c_224895,plain,+ ( X0 = X1+ | X0 != h1(e12)+ | X1 != e20 ),+ inference(resolution,[status(thm)],[c_224852,c_16532])).++cnf(c_230076,plain,+ ( X0 != e20+ | h1(e12) = X0 ),+ inference(resolution,[status(thm)],[c_224895,c_16531])).++cnf(c_230143,plain,+ ( h3(e12) != e20+ | h1(e12) = e22 ),+ inference(resolution,[status(thm)],[c_230076,c_224706])).++cnf(c_58,plain,+ ( op2(e21,e21) = e21+ | op2(e21,e21) = e22+ | op2(e21,e21) = e23+ | e20 = op2(e21,e21) ),+ inference(cnf_transformation,[],[f113])).++cnf(c_61528,plain,+ ( op2(e21,e20) = op2(X0,op2(e20,e20))+ | e20 != op2(e20,e20)+ | e21 != X0 ),+ inference(instantiation,[status(thm)],[c_60439])).++cnf(c_68998,plain,+ ( op2(e21,e20) = op2(op2(e21,e21),op2(e20,e20))+ | e20 != op2(e20,e20)+ | e21 != op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_61528])).++cnf(c_94,plain,+ ( e20 = op2(e20,e20)+ | e20 = op2(e21,e20)+ | e20 = op2(e22,e20)+ | e20 = op2(e23,e20) ),+ inference(cnf_transformation,[],[f125])).++cnf(c_18950,plain,+ ( e20 != op2(e22,e20)+ | e20 = e21+ | e21 != op2(e22,e20) ),+ inference(instantiation,[status(thm)],[c_16755])).++cnf(c_138108,plain,+ ( e20 = op2(e20,e20)+ | e20 = op2(e23,e20) ),+ inference(global_propositional_subsumption,[status(thm)],[c_94,c_257,c_256,c_255,c_203,c_201,c_199,c_191,c_187,c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,c_18950,c_18997,c_19346,c_21159,c_21422,c_22510,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,c_68975,c_95072,c_102572])).++cnf(c_139530,plain,+ ( op2(e20,e20) = op2(X0,X1)+ | e20 != X0+ | e20 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_141494,plain,+ ( op2(e20,e20) = op2(op2(e21,e21),X0)+ | e20 != X0+ | e20 != op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_139530])).++cnf(c_146532,plain,+ ( op2(e20,e20) = op2(op2(e21,e21),op2(e20,e20))+ | e20 != op2(e20,e20)+ | e20 != op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_141494])).++cnf(c_30580,plain,+ ( op2(e20,e20) = op2(X0,X1)+ | e20 != X0+ | e20 != X1 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_32005,plain,+ ( op2(e20,e20) = op2(op2(e21,e21),X0)+ | e20 != X0+ | e20 != op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_30580])).++cnf(c_40564,plain,+ ( op2(e20,e20) = op2(op2(e21,e21),op2(e20,e20))+ | e20 != op2(e20,e20)+ | e20 != op2(e21,e21) ),+ inference(instantiation,[status(thm)],[c_32005])).++cnf(c_157763,plain,+ ( e20 != op2(e20,e20)+ | op2(e20,e20) = op2(op2(e21,e21),op2(e20,e20)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_146532,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_189,c_188,c_187,c_184,c_179,c_178,c_176,c_174,c_167,c_166,c_155,c_153,c_152,c_91,c_90,c_88,c_87,c_86,c_77,c_71,c_61,c_1852,c_1956,c_16905,c_17254,c_17276,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,c_17544,c_17554,c_17740,c_17790,c_17800,c_17816,c_18616,c_18617,c_18997,c_19340,c_19346,c_19400,c_19398,c_20774,c_20913,c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,c_22510,c_22582,c_23147,c_23671,c_25036,c_25034,c_25989,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,c_27945,c_28198,c_28292,c_33461,c_33694,c_33768,c_33893,c_34075,c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39366,c_39778,c_40564,c_44248,c_44653,c_45778,c_49003,c_51437,c_68261,c_68501,c_68875,c_68975,c_68974,c_69423,c_71340,c_76914,c_88489,c_88488,c_95072,c_99363,c_102572,c_107767,c_107924,c_112325,c_131061,c_149072,c_149258,c_149600,c_155876])).++cnf(c_157764,plain,+ ( op2(e20,e20) = op2(op2(e21,e21),op2(e20,e20))+ | e20 != op2(e20,e20) ),+ inference(renaming,[status(thm)],[c_157763])).++cnf(c_138245,plain,+ ( op2(e20,e20) != X0+ | op2(e20,e20) = op2(e21,e20)+ | op2(e21,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16736,plain,+ ( op2(e20,e20) != X0+ | op2(e20,e20) = op2(e21,e20)+ | op2(e21,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139782,plain,+ ( op2(e20,e20) != X0+ | op2(e21,e20) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138245,c_191,c_16736])).++cnf(c_157766,plain,+ ( op2(e20,e20) != op2(op2(e21,e21),op2(e20,e20))+ | op2(e21,e20) != op2(op2(e21,e21),op2(e20,e20)) ),+ inference(instantiation,[status(thm)],[c_139782])).++cnf(c_225162,plain,+ ( e20 = op2(e23,e20)+ | e20 = op2(e23,e23) ),+ inference(global_propositional_subsumption,[status(thm)],[c_71,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,c_176,c_174,c_166,c_164,c_155,c_153,c_95,c_90,c_88,c_87,c_77,c_61,c_1865,c_16905,c_17254,c_17261,c_17300,c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,c_17740,c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,c_19094,c_19246,c_19335,c_19346,c_19400,c_20774,c_20804,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_23147,c_23671,c_25989,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,c_99363,c_102572,c_107767,c_107924,c_112325,c_115073,c_138084,c_149258,c_149600,c_159160,c_159167])).++cnf(c_230824,plain,+ ( e20 = op2(e23,e20)+ | e20 = op2(e23,e23) ),+ inference(global_propositional_subsumption,[status(thm)],[c_71,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,c_176,c_174,c_166,c_164,c_155,c_153,c_95,c_90,c_88,c_87,c_77,c_61,c_1865,c_16905,c_17254,c_17261,c_17300,c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,c_17740,c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,c_19094,c_19246,c_19335,c_19346,c_19400,c_20774,c_20804,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_23147,c_23671,c_25989,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,c_99363,c_102572,c_107767,c_107924,c_112325,c_115073,c_138084,c_149258,c_149600,c_159160,c_159167])).++cnf(c_230867,plain,+ ( X0 != op2(e23,e20)+ | X0 = e20+ | e20 = op2(e23,e23) ),+ inference(resolution,[status(thm)],[c_230824,c_16532])).++cnf(c_242620,plain,+ ( op2(e23,e20) != e22+ | h3(e12) = e20+ | e20 = op2(e23,e23) ),+ inference(resolution,[status(thm)],[c_230867,c_230648])).++cnf(c_358912,plain,+ ( e20 = X0+ | X0 != op2(e23,e23) ),+ inference(global_propositional_subsumption,[status(thm)],[c_353749,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_187,c_155,c_153,c_90,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,c_19346,c_19551,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_49003,c_51437,c_68975,c_68974,c_95072,c_102572,c_112325,c_140339,c_230143,c_242620,c_255252])).++cnf(c_358913,plain,+ ( X0 != op2(e23,e23)+ | e20 = X0 ),+ inference(renaming,[status(thm)],[c_358912])).++cnf(c_358918,plain,+ ( op2(X0,X1) != op2(e23,e23)+ | e20 = op2(X0,X1) ),+ inference(instantiation,[status(thm)],[c_358913])).++cnf(c_589274,plain,+ ( op2(h3(e13),h3(e13)) != op2(e23,e23)+ | e20 = op2(h3(e13),h3(e13)) ),+ inference(instantiation,[status(thm)],[c_358918])).++cnf(c_589275,plain,+ ( op2(h3(e13),h3(e13)) = e20+ | e20 != op2(h3(e13),h3(e13)) ),+ inference(instantiation,[status(thm)],[c_359611])).++cnf(c_355926,plain,+ ( X0 = op2(e20,e20)+ | X0 != h1(e10) ),+ inference(resolution,[status(thm)],[c_16532,c_260])).++cnf(c_366282,plain,+ ( X0 = X1+ | X0 != op2(e20,e20)+ | X1 != h1(e10) ),+ inference(resolution,[status(thm)],[c_355926,c_16532])).++cnf(c_382203,plain,+ ( X0 != h1(e10)+ | X1 != e20+ | X2 != e20+ | op2(X1,X2) = X0 ),+ inference(resolution,[status(thm)],[c_366282,c_16534])).++cnf(c_297,plain,+ ( ~ sP12+ | e20 != h3(e10) ),+ inference(cnf_transformation,[],[f354])).++cnf(c_292,plain,+ ( ~ sP13+ | e21 != h3(e11) ),+ inference(cnf_transformation,[],[f351])).++cnf(c_2800,plain,+ ( sP12+ | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))+ | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+ | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+ | e21 != h3(e11)+ | e23 != h3(e13) ),+ inference(resolution,[status(thm)],[c_361,c_292])).++cnf(c_140999,plain,+ ( X0 != X1+ | h3(e10) != X1+ | h3(e10) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_146507,plain,+ ( X0 != h3(op1(e10,e10))+ | h3(e10) = X0+ | h3(e10) != h3(op1(e10,e10)) ),+ inference(instantiation,[status(thm)],[c_140999])).++cnf(c_167858,plain,+ ( op2(e22,e22) != h3(op1(e10,e10))+ | h3(e10) = op2(e22,e22)+ | h3(e10) != h3(op1(e10,e10)) ),+ inference(instantiation,[status(thm)],[c_146507])).++cnf(c_30252,plain,+ ( h3(op1(e10,e10)) = h3(op1(e10,e10)) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_30251,plain,+ ( X0 != h3(op1(e10,e10))+ | h3(op1(e10,e10)) = X0+ | h3(op1(e10,e10)) != h3(op1(e10,e10)) ),+ inference(instantiation,[status(thm)],[c_29793])).++cnf(c_31300,plain,+ ( h3(X0) != h3(op1(e10,e10))+ | h3(op1(e10,e10)) = h3(X0)+ | h3(op1(e10,e10)) != h3(op1(e10,e10)) ),+ inference(instantiation,[status(thm)],[c_30251])).++cnf(c_45834,plain,+ ( h3(op1(e10,e10)) != h3(op1(e10,e10))+ | h3(op1(e10,e10)) = h3(e10)+ | h3(e10) != h3(op1(e10,e10)) ),+ inference(instantiation,[status(thm)],[c_31300])).++cnf(c_31298,plain,+ ( X0 != X1+ | X0 = h3(op1(e10,e10))+ | h3(op1(e10,e10)) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_48180,plain,+ ( X0 = h3(op1(e10,e10))+ | X0 != h3(e10)+ | h3(op1(e10,e10)) != h3(e10) ),+ inference(instantiation,[status(thm)],[c_31298])).++cnf(c_58695,plain,+ ( op2(e22,e22) = h3(op1(e10,e10))+ | op2(e22,e22) != h3(e10)+ | h3(op1(e10,e10)) != h3(e10) ),+ inference(instantiation,[status(thm)],[c_48180])).++cnf(c_93661,plain,+ ( op2(e22,e22) != h3(op1(e10,e10))+ | h3(e10) = op2(e22,e22)+ | h3(e10) != h3(op1(e10,e10)) ),+ inference(instantiation,[status(thm)],[c_65902])).++cnf(c_190678,plain,+ ( h3(e10) = op2(e22,e22)+ | h3(e10) != h3(op1(e10,e10)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_167858,c_268,c_30252,c_45834,c_58695,c_93661])).++cnf(c_139246,plain,+ ( X0 != X1+ | e20 != X1+ | e20 = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_140777,plain,+ ( X0 != op2(e22,e22)+ | e20 = X0+ | e20 != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_139246])).++cnf(c_19559,plain,+ ( X0 != op2(e22,e22)+ | e20 = X0+ | e20 != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_17488])).++cnf(c_143144,plain,+ ( e20 = X0+ | X0 != op2(e22,e22) ),+ inference(global_propositional_subsumption,[status(thm)],[c_140777,c_257,c_19559])).++cnf(c_143145,plain,+ ( X0 != op2(e22,e22)+ | e20 = X0 ),+ inference(renaming,[status(thm)],[c_143144])).++cnf(c_190694,plain,+ ( h3(e10) != op2(e22,e22)+ | e20 = h3(e10) ),+ inference(instantiation,[status(thm)],[c_143145])).++cnf(c_230253,plain,+ ( e21 = op2(e22,op2(e22,e22)) ),+ inference(resolution,[status(thm)],[c_230241,c_256])).++cnf(c_230260,plain,+ ( X0 != op2(e22,op2(e22,e22))+ | X0 = e21 ),+ inference(resolution,[status(thm)],[c_230253,c_16532])).++cnf(c_267,plain,+ ( op2(e22,op2(e22,e22)) = h3(e11) ),+ inference(cnf_transformation,[],[f328])).++cnf(c_224703,plain,+ ( X0 = op2(e22,op2(e22,e22))+ | X0 != h3(e11) ),+ inference(resolution,[status(thm)],[c_16532,c_267])).++cnf(c_230422,plain,+ ( X0 != h3(e11)+ | X0 = e21 ),+ inference(resolution,[status(thm)],[c_230260,c_224703])).++cnf(c_230430,plain,+ ( h3(e11) = e21 ),+ inference(resolution,[status(thm)],[c_230422,c_16531])).++cnf(c_230438,plain,+ ( e21 = h3(e11) ),+ inference(resolution,[status(thm)],[c_230430,c_230241])).++cnf(c_355252,plain,+ ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+ | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+ | op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_361,c_297,c_268,c_266,c_255,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_2800,c_16539,c_16545,c_16905,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,c_18617,c_19143,c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,c_23176,c_23529,c_23530,c_24269,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_30252,c_31852,c_31860,c_32730,c_35056,c_45564,c_45834,c_47043,c_49848,c_58695,c_62414,c_66850,c_72084,c_93661,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_190694,c_204646,c_229253,c_230438])).++cnf(c_355253,plain,+ ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10))+ | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+ | op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),+ inference(renaming,[status(thm)],[c_355252])).++cnf(c_661103,plain,+ ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+ | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+ | h3(op1(e10,e10)) != h1(e10)+ | h3(e10) != e20 ),+ inference(resolution,[status(thm)],[c_382203,c_355253])).++cnf(c_1031187,plain,+ ( op2(h3(e13),h3(e13)) != X0+ | op2(h3(e13),h3(e13)) = h3(op1(e13,e13))+ | h3(op1(e13,e13)) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_1104557,plain,+ ( op2(h3(e13),h3(e13)) = h3(op1(e13,e13))+ | op2(h3(e13),h3(e13)) != e20+ | h3(op1(e13,e13)) != e20 ),+ inference(instantiation,[status(thm)],[c_1031187])).++cnf(c_1587302,plain,+ ( op2(h3(e13),h3(e12)) != X0+ | op2(h3(e13),h3(e12)) = h3(op1(e13,e12))+ | h3(op1(e13,e12)) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_1622158,plain,+ ( op2(h3(e13),h3(e12)) != op2(e23,e22)+ | op2(h3(e13),h3(e12)) = h3(op1(e13,e12))+ | h3(op1(e13,e12)) != op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_1587302])).++cnf(c_64722,plain,+ ( X0 != X1+ | X0 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_70859,plain,+ ( X0 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | X0 != e23+ | op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != e23 ),+ inference(instantiation,[status(thm)],[c_64722])).++cnf(c_107859,plain,+ ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != e23+ | op2(e23,e22) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | op2(e23,e22) != e23 ),+ inference(instantiation,[status(thm)],[c_70859])).++cnf(c_227214,plain,+ ( X0 != X1+ | X0 = e23+ | e23 != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_228881,plain,+ ( X0 != op2(e23,op2(e20,e23))+ | X0 = e23+ | e23 != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_227214])).++cnf(c_234483,plain,+ ( op2(e23,e22) != op2(e23,op2(e20,e23))+ | op2(e23,e22) = e23+ | e23 != op2(e23,op2(e20,e23)) ),+ inference(instantiation,[status(thm)],[c_228881])).++cnf(c_247674,plain,+ ( op2(e23,e22) = e23+ | op2(e23,e22) != op2(e23,op2(e20,e23)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_234483,c_17254,c_40399,c_165269])).++cnf(c_247675,plain,+ ( op2(e23,e22) != op2(e23,op2(e20,e23))+ | op2(e23,e22) = e23 ),+ inference(renaming,[status(thm)],[c_247674])).++cnf(c_1550751,plain,+ ( X0 != X1+ | h3(op1(e13,e12)) != X1+ | h3(op1(e13,e12)) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_1559000,plain,+ ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | h3(op1(e13,e12)) = X0+ | h3(op1(e13,e12)) != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_1550751])).++cnf(c_688372,plain,+ ( X0 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | X0 != h3(e13) ),+ inference(resolution,[status(thm)],[c_16532,c_266])).++cnf(c_1,plain,+ ( op1(e13,e12) = e11+ | op1(e13,e12) = e12+ | op1(e13,e12) = e13+ | e10 = op1(e13,e12) ),+ inference(cnf_transformation,[],[f74])).++cnf(c_694231,plain,+ ( op1(e13,e12) = e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_1,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,c_135,c_132,c_128,c_126,c_124,c_123,c_120,c_112,c_107,c_104,c_103,c_98,c_41,c_39,c_24,c_23,c_17,c_12,c_6,c_16539,c_16545,c_16561,c_16603,c_16958,c_17013,c_17146,c_17196,c_17224,c_17316,c_17467,c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,c_35127,c_36527,c_45564,c_47043,c_49848,c_59901,c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,c_76700,c_133487,c_137595,c_137971,c_137988,c_138028,c_142352,c_144212,c_154058,c_162431,c_178052,c_229618,c_231889])).++cnf(c_694253,plain,+ ( h3(op1(e13,e12)) = h3(e13) ),+ inference(resolution,[status(thm)],[c_694231,c_16537])).++cnf(c_747042,plain,+ ( h3(op1(e13,e12)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(resolution,[status(thm)],[c_688372,c_694253])).++cnf(c_1565919,plain,+ ( h3(op1(e13,e12)) = X0+ | X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_1559000,c_747042])).++cnf(c_1565920,plain,+ ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | h3(op1(e13,e12)) = X0 ),+ inference(renaming,[status(thm)],[c_1565919])).++cnf(c_1565930,plain,+ ( op2(e23,e22) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | h3(op1(e13,e12)) = op2(e23,e22) ),+ inference(instantiation,[status(thm)],[c_1565920])).++cnf(c_1644846,plain,+ ( op2(h3(e13),h3(e12)) = h3(op1(e13,e12))+ | op2(h3(e13),h3(e12)) != op2(e23,e22) ),+ inference(global_propositional_subsumption,[status(thm)],[c_1622158,c_255,c_17427,c_107859,c_113093,c_178764,c_225198,c_247675,c_255252,c_1565930])).++cnf(c_1644847,plain,+ ( op2(h3(e13),h3(e12)) != op2(e23,e22)+ | op2(h3(e13),h3(e12)) = h3(op1(e13,e12)) ),+ inference(renaming,[status(thm)],[c_1644846])).++cnf(c_1685542,plain,+ ( op2(h3(e13),h3(e12)) = op2(X0,X1)+ | h3(e12) != X1+ | h3(e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_1755101,plain,+ ( op2(h3(e13),h3(e12)) = op2(e23,X0)+ | h3(e12) != X0+ | h3(e13) != e23 ),+ inference(instantiation,[status(thm)],[c_1685542])).++cnf(c_18551,plain,+ ( h3(e13) != X0+ | h3(e13) = e23+ | e23 != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19176,plain,+ ( h3(e13) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | h3(e13) = e23+ | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_18551])).++cnf(c_1589186,plain,+ ( op2(h3(e13),h3(e12)) = op2(X0,X1)+ | h3(e12) != X1+ | h3(e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_1659816,plain,+ ( op2(h3(e13),h3(e12)) = op2(e23,X0)+ | h3(e12) != X0+ | h3(e13) != e23 ),+ inference(instantiation,[status(thm)],[c_1589186])).++cnf(c_1778633,plain,+ ( h3(e12) != X0+ | op2(h3(e13),h3(e12)) = op2(e23,X0) ),+ inference(global_propositional_subsumption,[status(thm)],[c_1755101,c_266,c_255,c_16905,c_18617,c_19176,c_23529,c_23530,c_1659816])).++cnf(c_1778634,plain,+ ( op2(h3(e13),h3(e12)) = op2(e23,X0)+ | h3(e12) != X0 ),+ inference(renaming,[status(thm)],[c_1778633])).++cnf(c_1778912,plain,+ ( op2(h3(e13),h3(e12)) = op2(e23,e22)+ | h3(e12) != e22 ),+ inference(instantiation,[status(thm)],[c_1778634])).++cnf(c_3013006,plain,+ ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_361,c_266,c_255,c_16905,c_18617,c_19143,c_23529,c_23530,c_111818,c_224868,c_253327,c_579093,c_589274,c_589275,c_663491,c_1104557,c_1644847,c_1778912])).++cnf(c_3013007,plain,+ ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(renaming,[status(thm)],[c_3013006])).++cnf(c_4187206,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4069589,c_3013007])).++cnf(c_16612,plain,+ ( op1(e10,e12) != X0+ | op1(e10,e12) = op1(e13,e12)+ | op1(e13,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17508,plain,+ ( op1(e10,e12) != op1(e10,e12)+ | op1(e10,e12) = op1(e13,e12)+ | op1(e13,e12) != op1(e10,e12) ),+ inference(instantiation,[status(thm)],[c_16612])).++cnf(c_42257,plain,+ ( op1(e10,e12) != e13+ | op1(e13,e12) = op1(e10,e12)+ | op1(e13,e12) != e13 ),+ inference(instantiation,[status(thm)],[c_30818])).++cnf(c_224771,plain,+ ( X0 != X1+ | X2 != X3+ | X4 != op1(X1,X3)+ | X4 = op1(X0,X2) ),+ inference(resolution,[status(thm)],[c_16533,c_16532])).++cnf(c_224555,plain,+ ( op1(e12,op1(e10,e12)) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_229,c_254,c_253,c_252,c_235,c_234,c_232,c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_128,c_126,c_39,c_23,c_16539,c_16545,c_16958,c_17013,c_17146,c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,c_18206,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,c_45564,c_47043,c_49848,c_62414,c_66850,c_72084,c_133487,c_137595,c_138028,c_142352,c_144212])).++cnf(c_224678,plain,+ ( X0 = op1(e12,op1(e10,e12))+ | X0 != e12 ),+ inference(resolution,[status(thm)],[c_16532,c_224555])).++cnf(c_240222,plain,+ ( X0 = op1(X1,X2)+ | X2 != op1(e10,e12)+ | X0 != e12+ | X1 != e12 ),+ inference(resolution,[status(thm)],[c_224771,c_224678])).++cnf(c_240223,plain,+ ( e12 != op1(e10,e12)+ | e12 = op1(e12,e12)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_240222])).++cnf(c_3023447,plain,+ ( op1(e10,e12) = e11 ),+ inference(global_propositional_subsumption,[status(thm)],[c_13,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,c_224,c_221,c_197,c_196,c_195,c_194,c_193,c_192,c_143,c_140,c_139,c_135,c_132,c_129,c_128,c_126,c_124,c_123,c_120,c_113,c_112,c_110,c_109,c_107,c_106,c_104,c_103,c_102,c_99,c_98,c_46,c_41,c_39,c_28,c_26,c_24,c_23,c_22,c_17,c_12,c_10,c_6,c_16539,c_16545,c_16561,c_16603,c_16958,c_17006,c_17013,c_17034,c_17059,c_17069,c_17089,c_17105,c_17110,c_17146,c_17196,c_17224,c_17310,c_17316,c_17324,c_17461,c_17467,c_17502,c_17501,c_17500,c_17508,c_17669,c_17673,c_17675,c_17677,c_17685,c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,c_20144,c_20240,c_20243,c_20257,c_20396,c_20399,c_20440,c_20464,c_21221,c_21647,c_21699,c_22973,c_23054,c_23127,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_24898,c_24942,c_24967,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_28850,c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,c_31860,c_31892,c_31942,c_32466,c_32502,c_32730,c_32836,c_33701,c_34860,c_35127,c_36430,c_36527,c_36533,c_42257,c_45564,c_47043,c_49848,c_55736,c_59901,c_60219,c_62404,c_62414,c_62440,c_65626,c_65980,c_66850,c_72084,c_75216,c_75243,c_76700,c_88332,c_133487,c_137595,c_137971,c_137988,c_138028,c_138573,c_142352,c_144212,c_144662,c_148725,c_154058,c_162431,c_178052,c_229618,c_231889,c_240223])).++cnf(c_3023469,plain,+ ( e11 = op1(e10,e12) ),+ inference(resolution,[status(thm)],[c_3023447,c_3013688])).++cnf(c_3055876,plain,+ ( X0 != op1(e10,e12)+ | h3(X0) = h3(e11) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023469])).++cnf(c_3013710,plain,+ ( e21 = op2(e22,op2(e22,e22)) ),+ inference(resolution,[status(thm)],[c_3013688,c_256])).++cnf(c_3023347,plain,+ ( X0 != op2(e22,op2(e22,e22))+ | e21 = X0 ),+ inference(resolution,[status(thm)],[c_3013710,c_16532])).++cnf(c_3013681,plain,+ ( X0 != h3(e11)+ | op2(e22,op2(e22,e22)) = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_267])).++cnf(c_3038811,plain,+ ( X0 = op2(e22,op2(e22,e22))+ | X0 != h3(e11) ),+ inference(resolution,[status(thm)],[c_3013681,c_3013688])).++cnf(c_3100542,plain,+ ( X0 != h3(e11)+ | e21 = X0 ),+ inference(resolution,[status(thm)],[c_3023347,c_3038811])).++cnf(c_3254195,plain,+ ( X0 != op1(e10,e12)+ | e21 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3055876,c_3100542])).++cnf(c_3256408,plain,+ ( e21 = h3(op1(e10,e12)) ),+ inference(resolution,[status(thm)],[c_3254195,c_16531])).++cnf(c_3256511,plain,+ ( h3(op1(e10,e12)) = e21 ),+ inference(resolution,[status(thm)],[c_3256408,c_3013688])).++cnf(c_3256523,plain,+ ( X0 != e21+ | h3(op1(e10,e12)) = X0 ),+ inference(resolution,[status(thm)],[c_3256511,c_16532])).++cnf(c_3257568,plain,+ ( X0 = h3(op1(e10,e12))+ | X0 != e21 ),+ inference(resolution,[status(thm)],[c_3256523,c_3013688])).++cnf(c_4187398,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4187206,c_3257568])).++cnf(c_19,plain,+ ( op1(e13,e10) = e12+ | op1(e13,e11) = e12+ | op1(e13,e12) = e12+ | op1(e13,e13) = e12 ),+ inference(cnf_transformation,[],[f104])).++cnf(c_229707,plain,+ ( op1(e13,e10) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_19,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_140,c_139,c_128,c_126,c_42,c_39,c_23,c_16539,c_16545,c_16958,c_17013,c_17146,c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,c_18206,c_19311,c_20081,c_20113,c_20238,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_30493,c_31852,c_31860,c_32730,c_36462,c_45564,c_47043,c_49848,c_62391,c_62414,c_66850,c_72084,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,c_229253])).++cnf(c_229735,plain,+ ( X0 = op1(e13,e10)+ | X0 != e12 ),+ inference(resolution,[status(thm)],[c_229707,c_16532])).++cnf(c_138,plain,+ ( op1(e12,e10) != op1(e13,e10) ),+ inference(cnf_transformation,[],[f161])).++cnf(c_229741,plain,+ ( op1(e12,e10) != e12 ),+ inference(resolution,[status(thm)],[c_229735,c_138])).++cnf(c_27,plain,+ ( op1(e12,e10) = e12+ | op1(e12,e11) = e12+ | op1(e12,e12) = e12+ | op1(e12,e13) = e12 ),+ inference(cnf_transformation,[],[f96])).++cnf(c_229747,plain,+ ( op1(e12,e11) = e12+ | op1(e12,e12) = e12+ | op1(e12,e13) = e12 ),+ inference(backward_subsumption_resolution,[status(thm)],[c_229741,c_27])).++cnf(c_138004,plain,+ ( op1(e12,e11) = e12+ | op1(e12,e13) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_27,c_254,c_253,c_196,c_194,c_16545,c_17013,c_17310,c_17675,c_18166,c_20113,c_20238,c_20243,c_32730,c_36462])).++cnf(c_239623,plain,+ ( op1(e12,e11) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_229747,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_132,c_128,c_126,c_124,c_123,c_107,c_104,c_103,c_39,c_23,c_12,c_6,c_16539,c_16545,c_16603,c_16958,c_17013,c_17146,c_17224,c_17316,c_17467,c_17673,c_17685,c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19078,c_19311,c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_31852,c_31860,c_31892,c_32502,c_32730,c_33701,c_45564,c_47043,c_49848,c_59901,c_60219,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,c_133487,c_137595,c_138004,c_138028,c_142352,c_144212,c_154058,c_162431,c_229618,c_231889])).++cnf(c_239635,plain,+ ( X0 = op1(e12,e11)+ | X0 != e12 ),+ inference(resolution,[status(thm)],[c_239623,c_16532])).++cnf(c_239667,plain,+ ( op1(e10,e11) != e12 ),+ inference(resolution,[status(thm)],[c_239635,c_136])).++cnf(c_141,plain,+ ( op1(e10,e10) != op1(e13,e10) ),+ inference(cnf_transformation,[],[f158])).++cnf(c_229743,plain,+ ( op1(e10,e10) != e12 ),+ inference(resolution,[status(thm)],[c_229735,c_141])).++cnf(c_229754,plain,+ ( op1(e10,e11) = e12+ | op1(e10,e12) = e12+ | op1(e10,e13) = e12 ),+ inference(backward_subsumption_resolution,[status(thm)],[c_229743,c_43])).++cnf(c_239678,plain,+ ( op1(e10,e12) = e12+ | op1(e10,e13) = e12 ),+ inference(backward_subsumption_resolution,[status(thm)],[c_239667,c_229754])).++cnf(c_239744,plain,+ ( X0 = op1(e10,e12)+ | X0 != e12+ | op1(e10,e13) = e12 ),+ inference(resolution,[status(thm)],[c_239678,c_16532])).++cnf(c_239745,plain,+ ( op1(e10,e13) = e12+ | e12 = op1(e10,e12)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_239744])).++cnf(c_3023443,plain,+ ( op1(e10,e13) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_12,c_254,c_196,c_16545,c_17310,c_239745,c_240223])).++cnf(c_3023465,plain,+ ( e12 = op1(e10,e13) ),+ inference(resolution,[status(thm)],[c_3023443,c_3013688])).++cnf(c_3055916,plain,+ ( X0 != op1(e10,e13)+ | h3(X0) = h3(e12) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023465])).++cnf(c_3013683,plain,+ ( X0 != h3(e12)+ | e22 = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_269])).++cnf(c_3256595,plain,+ ( X0 != op1(e10,e13)+ | e22 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3055916,c_3013683])).++cnf(c_3257958,plain,+ ( e22 = h3(op1(e10,e13)) ),+ inference(resolution,[status(thm)],[c_3256595,c_16531])).++cnf(c_3258062,plain,+ ( h3(op1(e10,e13)) = e22 ),+ inference(resolution,[status(thm)],[c_3257958,c_3013688])).++cnf(c_3258074,plain,+ ( X0 != e22+ | h3(op1(e10,e13)) = X0 ),+ inference(resolution,[status(thm)],[c_3258062,c_16532])).++cnf(c_3258989,plain,+ ( X0 = h3(op1(e10,e13))+ | X0 != e22 ),+ inference(resolution,[status(thm)],[c_3258074,c_3013688])).++cnf(c_4187430,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4187398,c_3258989])).++cnf(c_11,plain,+ ( op1(e11,e10) = e11+ | op1(e11,e10) = e12+ | op1(e11,e10) = e13+ | e10 = op1(e11,e10) ),+ inference(cnf_transformation,[],[f64])).++cnf(c_3023439,plain,+ ( op1(e11,e10) = e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_11,c_254,c_253,c_252,c_17013,c_18082,c_20243,c_23176,c_27674,c_47043])).++cnf(c_3023461,plain,+ ( e13 = op1(e11,e10) ),+ inference(resolution,[status(thm)],[c_3023439,c_3013688])).++cnf(c_3055873,plain,+ ( X0 != op1(e11,e10)+ | h3(X0) = h3(e13) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023461])).++cnf(c_3569232,plain,+ ( X0 != op1(e11,e10)+ | e23 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3567206,c_3055873])).++cnf(c_3917467,plain,+ ( e23 = h3(op1(e11,e10)) ),+ inference(resolution,[status(thm)],[c_3569232,c_16531])).++cnf(c_3917694,plain,+ ( h3(op1(e11,e10)) = e23 ),+ inference(resolution,[status(thm)],[c_3917467,c_3013688])).++cnf(c_3917726,plain,+ ( X0 != e23+ | h3(op1(e11,e10)) = X0 ),+ inference(resolution,[status(thm)],[c_3917694,c_16532])).++cnf(c_4067885,plain,+ ( X0 = h3(op1(e11,e10))+ | X0 != e23 ),+ inference(resolution,[status(thm)],[c_3917726,c_3013688])).++cnf(c_4189812,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e10)) != e23+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4187430,c_4067885])).++cnf(c_23524,plain,+ ( h3(e11) = h3(e11) ),+ inference(instantiation,[status(thm)],[c_16531])).++cnf(c_70740,plain,+ ( X0 != X1+ | h3(e11) != X1+ | h3(e11) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_79212,plain,+ ( X0 != h3(e11)+ | h3(e11) = X0+ | h3(e11) != h3(e11) ),+ inference(instantiation,[status(thm)],[c_70740])).++cnf(c_96573,plain,+ ( op2(e22,op2(e22,e22)) != h3(e11)+ | h3(e11) = op2(e22,op2(e22,e22))+ | h3(e11) != h3(e11) ),+ inference(instantiation,[status(thm)],[c_79212])).++cnf(c_264014,plain,+ ( X0 != op2(e22,op2(e22,e22))+ | X1 != op2(e22,e22)+ | op2(X0,X1) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_283539,plain,+ ( X0 != op2(e22,op2(e22,e22))+ | op2(X0,h3(e10)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | h3(e10) != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_264014])).++cnf(c_145035,plain,+ ( X0 != op2(e22,op2(e22,e22))+ | X1 != op2(e22,e22)+ | op2(X0,X1) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_16534])).++cnf(c_190698,plain,+ ( X0 != op2(e22,op2(e22,e22))+ | op2(X0,h3(e10)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | h3(e10) != op2(e22,e22) ),+ inference(instantiation,[status(thm)],[c_145035])).++cnf(c_292055,plain,+ ( op2(X0,h3(e10)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | X0 != op2(e22,op2(e22,e22)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_283539,c_268,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,c_16545,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,c_23176,c_24269,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_30252,c_31852,c_31860,c_32730,c_35056,c_45564,c_45834,c_47043,c_49848,c_58695,c_62414,c_66850,c_72084,c_93661,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_190698,c_204646,c_229253])).++cnf(c_292056,plain,+ ( X0 != op2(e22,op2(e22,e22))+ | op2(X0,h3(e10)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(renaming,[status(thm)],[c_292055])).++cnf(c_297307,plain,+ ( op2(h3(e11),h3(e10)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | h3(e11) != op2(e22,op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_292056])).++cnf(c_258076,plain,+ ( X0 != X1+ | X0 = e23+ | e23 != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_259606,plain,+ ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | X0 = e23+ | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_258076])).++cnf(c_18619,plain,+ ( X0 != X1+ | X0 = e23+ | e23 != X1 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19266,plain,+ ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | X0 = e23+ | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(instantiation,[status(thm)],[c_18619])).++cnf(c_264431,plain,+ ( X0 = e23+ | X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_259606,c_255,c_16905,c_18617,c_19266])).++cnf(c_264432,plain,+ ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | X0 = e23 ),+ inference(renaming,[status(thm)],[c_264431])).++cnf(c_326315,plain,+ ( op2(h3(e11),h3(e10)) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+ | op2(h3(e11),h3(e10)) = e23 ),+ inference(instantiation,[status(thm)],[c_264432])).++cnf(c_4189814,plain,+ ( op2(h3(e10),h3(e13)) != e22+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e11)) != e23+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_4189812,c_267,c_23524,c_96573,c_297307,c_326315])).++cnf(c_4189815,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(renaming,[status(thm)],[c_4189814])).++cnf(c_3023435,plain,+ ( e10 = op1(e11,e11) ),+ inference(global_propositional_subsumption,[status(thm)],[c_10,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,c_135,c_134,c_132,c_128,c_126,c_124,c_123,c_120,c_113,c_112,c_107,c_104,c_103,c_98,c_41,c_39,c_32,c_24,c_23,c_12,c_6,c_16539,c_16545,c_16561,c_16603,c_16623,c_16958,c_17013,c_17059,c_17146,c_17196,c_17224,c_17316,c_17467,c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,c_34859,c_35127,c_36527,c_45564,c_47043,c_49848,c_59901,c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,c_76700,c_133487,c_137595,c_137971,c_137988,c_138028,c_138819,c_142352,c_144212,c_154058,c_157476,c_162431,c_163528,c_178052,c_229618,c_229903,c_231889,c_233740])).++cnf(c_3055759,plain,+ ( X0 != op1(e11,e11)+ | h3(X0) = h3(e10) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023435])).++cnf(c_3013659,plain,+ ( X0 != op2(e22,e22)+ | e20 = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_257])).++cnf(c_3013721,plain,+ ( h3(e10) = op2(e22,e22) ),+ inference(resolution,[status(thm)],[c_3013688,c_268])).++cnf(c_3023703,plain,+ ( e20 = h3(e10) ),+ inference(resolution,[status(thm)],[c_3013659,c_3013721])).++cnf(c_3023707,plain,+ ( X0 != h3(e10)+ | e20 = X0 ),+ inference(resolution,[status(thm)],[c_3023703,c_16532])).++cnf(c_3190709,plain,+ ( X0 != op1(e11,e11)+ | e20 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3055759,c_3023707])).++cnf(c_3251814,plain,+ ( e20 = h3(op1(e11,e11)) ),+ inference(resolution,[status(thm)],[c_3190709,c_16531])).++cnf(c_3251909,plain,+ ( h3(op1(e11,e11)) = e20 ),+ inference(resolution,[status(thm)],[c_3251814,c_3013688])).++cnf(c_3251921,plain,+ ( X0 != e20+ | h3(op1(e11,e11)) = X0 ),+ inference(resolution,[status(thm)],[c_3251909,c_16532])).++cnf(c_3252153,plain,+ ( X0 = h3(op1(e11,e11))+ | X0 != e20 ),+ inference(resolution,[status(thm)],[c_3251921,c_3013688])).++cnf(c_4189868,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e11)) != e20+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4189815,c_3252153])).++cnf(c_2037717,plain,+ ( X0 != h3(e10)+ | op2(e22,e22) = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_268])).++cnf(c_2037723,plain,+ ( X0 != X1+ | X1 = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_16531])).++cnf(c_2062926,plain,+ ( X0 = op2(e22,e22)+ | X0 != h3(e10) ),+ inference(resolution,[status(thm)],[c_2037717,c_2037723])).++cnf(c_2065419,plain,+ ( X0 = X1+ | X1 != op2(e22,e22)+ | X0 != h3(e10) ),+ inference(resolution,[status(thm)],[c_2062926,c_16532])).++cnf(c_2037748,plain,+ ( h1(e10) = op2(e20,e20) ),+ inference(resolution,[status(thm)],[c_2037723,c_260])).++cnf(c_2037794,plain,+ ( X0 != op2(e20,e20)+ | h1(e10) = X0 ),+ inference(resolution,[status(thm)],[c_2037748,c_16532])).++cnf(c_2037694,plain,+ ( X0 != op2(e22,e22)+ | e20 = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_257])).++cnf(c_2037756,plain,+ ( h3(e10) = op2(e22,e22) ),+ inference(resolution,[status(thm)],[c_2037723,c_268])).++cnf(c_2047784,plain,+ ( e20 = h3(e10) ),+ inference(resolution,[status(thm)],[c_2037694,c_2037756])).++cnf(c_2047787,plain,+ ( h3(e10) = e20 ),+ inference(resolution,[status(thm)],[c_2047784,c_2037723])).++cnf(c_2047792,plain,+ ( X0 != e20+ | h3(e10) = X0 ),+ inference(resolution,[status(thm)],[c_2047787,c_16532])).++cnf(c_2078636,plain,+ ( op2(e20,e20) != e20+ | h1(e10) = h3(e10) ),+ inference(resolution,[status(thm)],[c_2037794,c_2047792])).++cnf(c_769825,plain,+ ( X0 != X1+ | h1(e10) != X1+ | h1(e10) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_786906,plain,+ ( X0 != e20+ | h1(e10) = X0+ | h1(e10) != e20 ),+ inference(instantiation,[status(thm)],[c_769825])).++cnf(c_128707,plain,+ ( X0 != e20+ | h1(e10) = X0+ | h1(e10) != e20 ),+ inference(instantiation,[status(thm)],[c_69838])).++cnf(c_786907,plain,+ ( h1(e10) = X0+ | X0 != e20 ),+ inference(global_propositional_subsumption,[status(thm)],[c_786906,c_260,c_257,c_256,c_255,c_203,c_191,c_190,c_155,c_153,c_77,c_63,c_17349,c_17350,c_17427,c_17431,c_17554,c_21159,c_21422,c_22470,c_23192,c_26105,c_26103,c_26610,c_33893,c_34088,c_36100,c_38580,c_39778,c_59360,c_111680,c_128707,c_255252])).++cnf(c_786908,plain,+ ( X0 != e20+ | h1(e10) = X0 ),+ inference(renaming,[status(thm)],[c_786907])).++cnf(c_816754,plain,+ ( h3(e10) != e20+ | h1(e10) = h3(e10) ),+ inference(instantiation,[status(thm)],[c_786908])).++cnf(c_2320512,plain,+ ( h1(e10) = h3(e10) ),+ inference(global_propositional_subsumption,[status(thm)],[c_2078636,c_268,c_257,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,c_16545,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_21699,c_23054,c_23125,c_23124,c_23181,c_23176,c_24269,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,c_229253,c_816754])).++cnf(c_2320521,plain,+ ( X0 != h3(e10)+ | h1(e10) = X0 ),+ inference(resolution,[status(thm)],[c_2320512,c_16532])).++cnf(c_17476,plain,+ ( e20 != op2(e23,e21)+ | e20 = e23+ | e23 != op2(e23,e21) ),+ inference(instantiation,[status(thm)],[c_16751])).++cnf(c_19335,plain,+ ( op2(e23,e21) != e23+ | e23 = op2(e23,e21)+ | e23 != e23 ),+ inference(instantiation,[status(thm)],[c_17391])).++cnf(c_225188,plain,+ ( e20 = op2(e20,e21)+ | e20 = op2(e21,e21) ),+ inference(global_propositional_subsumption,[status(thm)],[c_86,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,c_176,c_166,c_164,c_155,c_153,c_152,c_95,c_90,c_88,c_87,c_77,c_61,c_1865,c_16905,c_17261,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,c_17740,c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,c_19094,c_19246,c_19335,c_19346,c_19400,c_20804,c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,c_22510,c_23147,c_23671,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,c_68261,c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,c_99363,c_102572,c_107767,c_107924,c_112325,c_115073,c_138084,c_149258,c_149600,c_159160,c_159167])).++cnf(c_231091,plain,+ ( e20 = op2(e20,e21)+ | e20 = op2(e21,e21) ),+ inference(global_propositional_subsumption,[status(thm)],[c_86,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,c_176,c_166,c_164,c_155,c_153,c_152,c_95,c_90,c_88,c_87,c_77,c_61,c_1865,c_16905,c_17261,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,c_17740,c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,c_19094,c_19246,c_19335,c_19346,c_19400,c_20804,c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,c_22510,c_23147,c_23671,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,c_68261,c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,c_99363,c_102572,c_107767,c_107924,c_112325,c_115073,c_138084,c_149258,c_149600,c_159160,c_159167])).++cnf(c_239055,plain,+ ( X0 != op2(e20,e21)+ | X0 = e20+ | e20 = op2(e21,e21) ),+ inference(resolution,[status(thm)],[c_231091,c_16532])).++cnf(c_251679,plain,+ ( op2(e20,e21) = e20+ | e20 = op2(e21,e21) ),+ inference(resolution,[status(thm)],[c_239055,c_16531])).++cnf(c_2048521,plain,+ ( e20 = op2(e21,e21) ),+ inference(global_propositional_subsumption,[status(thm)],[c_58,c_257,c_256,c_255,c_203,c_191,c_190,c_167,c_155,c_153,c_77,c_63,c_17349,c_17350,c_17427,c_17431,c_17554,c_17816,c_21159,c_21422,c_22470,c_26105,c_26103,c_26610,c_28292,c_33893,c_34088,c_36100,c_38580,c_39778,c_88489,c_251679,c_255252])).++cnf(c_2048544,plain,+ ( X0 != op2(e21,e21)+ | e20 = X0 ),+ inference(resolution,[status(thm)],[c_2048521,c_16532])).++cnf(c_264,plain,+ ( op2(e21,e21) = h2(e10) ),+ inference(cnf_transformation,[],[f323])).++cnf(c_2037752,plain,+ ( h2(e10) = op2(e21,e21) ),+ inference(resolution,[status(thm)],[c_2037723,c_264])).++cnf(c_2064126,plain,+ ( e20 = h2(e10) ),+ inference(resolution,[status(thm)],[c_2048544,c_2037752])).++cnf(c_2064130,plain,+ ( h2(e10) = e20 ),+ inference(resolution,[status(thm)],[c_2064126,c_2037723])).++cnf(c_2064136,plain,+ ( X0 != e20+ | h2(e10) = X0 ),+ inference(resolution,[status(thm)],[c_2064130,c_16532])).++cnf(c_2320597,plain,+ ( h3(e10) != e20+ | h1(e10) = h2(e10) ),+ inference(resolution,[status(thm)],[c_2320521,c_2064136])).++cnf(c_271552,plain,+ ( op2(e22,e21) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_54,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_187,c_155,c_153,c_149,c_90,c_88,c_77,c_16905,c_17291,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,c_19346,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_49003,c_51437,c_68975,c_68974,c_95072,c_102572,c_112325,c_240038,c_255252])).++cnf(c_271572,plain,+ ( X0 = op2(e22,e21)+ | X0 != e22 ),+ inference(resolution,[status(thm)],[c_271552,c_16532])).++cnf(c_271692,plain,+ ( op2(e21,e21) != e22 ),+ inference(resolution,[status(thm)],[c_271572,c_182])).++cnf(c_19332,plain,+ ( op2(e23,e21) = op2(e23,e22)+ | op2(e23,e21) != e23+ | op2(e23,e22) != e23 ),+ inference(instantiation,[status(thm)],[c_16646])).++cnf(c_271479,plain,+ ( op2(e23,e21) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_50,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,c_176,c_166,c_164,c_155,c_153,c_149,c_146,c_95,c_90,c_88,c_87,c_77,c_61,c_1865,c_16905,c_17261,c_17291,c_17300,c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,c_17740,c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,c_19094,c_19246,c_19332,c_19335,c_19346,c_19400,c_20804,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_23147,c_23671,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,c_99363,c_102572,c_107767,c_107924,c_112325,c_113093,c_115073,c_138084,c_149258,c_149600,c_159160,c_159167,c_178764,c_225198,c_247675,c_255252])).++cnf(c_271491,plain,+ ( X0 = op2(e23,e21)+ | X0 != e21 ),+ inference(resolution,[status(thm)],[c_271479,c_16532])).++cnf(c_271611,plain,+ ( op2(e21,e21) != e21 ),+ inference(resolution,[status(thm)],[c_271491,c_181])).++cnf(c_271620,plain,+ ( op2(e21,e21) = e22+ | op2(e21,e21) = e23+ | e20 = op2(e21,e21) ),+ inference(backward_subsumption_resolution,[status(thm)],[c_271611,c_58])).++cnf(c_271697,plain,+ ( op2(e21,e21) = e23+ | e20 = op2(e21,e21) ),+ inference(backward_subsumption_resolution,[status(thm)],[c_271692,c_271620])).++cnf(c_271815,plain,+ ( e20 = op2(e21,e21) ),+ inference(global_propositional_subsumption,[status(thm)],[c_271697,c_257,c_256,c_255,c_203,c_191,c_190,c_167,c_155,c_153,c_77,c_63,c_17349,c_17350,c_17427,c_17431,c_17554,c_17816,c_21159,c_21422,c_22470,c_26105,c_26103,c_26610,c_28292,c_33893,c_34088,c_36100,c_38580,c_39778,c_88489,c_251679,c_255252])).++cnf(c_271821,plain,+ ( X0 != op2(e21,e21)+ | X0 = e20 ),+ inference(resolution,[status(thm)],[c_271815,c_16532])).++cnf(c_262100,plain,+ ( X0 = op2(e21,e21)+ | X0 != h2(e10) ),+ inference(resolution,[status(thm)],[c_16532,c_264])).++cnf(c_271829,plain,+ ( X0 != h2(e10)+ | X0 = e20 ),+ inference(resolution,[status(thm)],[c_271821,c_262100])).++cnf(c_271838,plain,+ ( h2(e10) = e20 ),+ inference(resolution,[status(thm)],[c_271829,c_16531])).++cnf(c_816764,plain,+ ( h2(e10) != e20+ | h1(e10) = h2(e10) ),+ inference(instantiation,[status(thm)],[c_786908])).++cnf(c_2321779,plain,+ ( h1(e10) = h2(e10) ),+ inference(global_propositional_subsumption,[status(thm)],[c_2320597,c_271838,c_816764])).++cnf(c_2320520,plain,+ ( h3(e10) = h1(e10) ),+ inference(resolution,[status(thm)],[c_2320512,c_2037723])).++cnf(c_2320537,plain,+ ( X0 != h1(e10)+ | h3(e10) = X0 ),+ inference(resolution,[status(thm)],[c_2320520,c_16532])).++cnf(c_2037713,plain,+ ( X0 != h2(e10)+ | op2(e21,e21) = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_264])).++cnf(c_2320870,plain,+ ( h3(e10) = op2(e21,e21)+ | h1(e10) != h2(e10) ),+ inference(resolution,[status(thm)],[c_2320537,c_2037713])).++cnf(c_2321786,plain,+ ( h3(e10) = op2(e21,e21) ),+ inference(backward_subsumption_resolution,[status(thm)],[c_2321779,c_2320870])).++cnf(c_2321853,plain,+ ( op2(e21,e21) = h3(e10) ),+ inference(resolution,[status(thm)],[c_2321786,c_2037723])).++cnf(c_2037798,plain,+ ( X0 != op2(e21,e21)+ | h2(e10) = X0 ),+ inference(resolution,[status(thm)],[c_2037752,c_16532])).++cnf(c_2078696,plain,+ ( op2(e21,e21) != h3(e10)+ | h2(e10) = op2(e22,e22) ),+ inference(resolution,[status(thm)],[c_2037798,c_2037717])).++cnf(c_2321947,plain,+ ( h2(e10) = op2(e22,e22) ),+ inference(backward_subsumption_resolution,[status(thm)],[c_2321853,c_2078696])).++cnf(c_2592862,plain,+ ( X0 != h3(e10)+ | X0 = h2(e10) ),+ inference(resolution,[status(thm)],[c_2065419,c_2321947])).++cnf(c_2037726,plain,+ ( X0 != X1+ | X2 != h3(X1)+ | h3(X0) = X2 ),+ inference(resolution,[status(thm)],[c_16532,c_16537])).++cnf(c_2063793,plain,+ ( X0 != X1+ | X2 != X1+ | h3(X0) = h3(X2) ),+ inference(resolution,[status(thm)],[c_2037726,c_16537])).++cnf(c_2047524,plain,+ ( e10 = op1(e11,e11) ),+ inference(global_propositional_subsumption,[status(thm)],[c_10,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,c_135,c_134,c_132,c_128,c_126,c_124,c_123,c_120,c_113,c_112,c_107,c_104,c_103,c_98,c_41,c_39,c_32,c_24,c_23,c_12,c_6,c_16539,c_16545,c_16561,c_16603,c_16623,c_16958,c_17013,c_17059,c_17146,c_17196,c_17224,c_17316,c_17467,c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,c_34859,c_35127,c_36527,c_45564,c_47043,c_49848,c_59901,c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,c_76700,c_133487,c_137595,c_137971,c_137988,c_138028,c_138819,c_142352,c_144212,c_154058,c_157476,c_162431,c_163528,c_178052,c_229618,c_229903,c_231889,c_233740])).++cnf(c_2080144,plain,+ ( X0 != op1(e11,e11)+ | h3(X0) = h3(e10) ),+ inference(resolution,[status(thm)],[c_2063793,c_2047524])).++cnf(c_2047788,plain,+ ( X0 != h3(e10)+ | e20 = X0 ),+ inference(resolution,[status(thm)],[c_2047784,c_16532])).++cnf(c_2215964,plain,+ ( X0 != op1(e11,e11)+ | e20 = h3(X0) ),+ inference(resolution,[status(thm)],[c_2080144,c_2047788])).++cnf(c_2278817,plain,+ ( e20 = h3(op1(e11,e11)) ),+ inference(resolution,[status(thm)],[c_2215964,c_16531])).++cnf(c_2278912,plain,+ ( h3(op1(e11,e11)) = e20 ),+ inference(resolution,[status(thm)],[c_2278817,c_2037723])).++cnf(c_2278924,plain,+ ( X0 != e20+ | h3(op1(e11,e11)) = X0 ),+ inference(resolution,[status(thm)],[c_2278912,c_16532])).++cnf(c_2627800,plain,+ ( h3(op1(e11,e11)) = h2(e10)+ | h3(e10) != e20 ),+ inference(resolution,[status(thm)],[c_2592862,c_2278924])).++cnf(c_3013678,plain,+ ( X0 != h2(e10)+ | op2(e21,e21) = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_264])).++cnf(c_3038294,plain,+ ( X0 = op2(e21,e21)+ | X0 != h2(e10) ),+ inference(resolution,[status(thm)],[c_3013678,c_3013688])).++cnf(c_3013887,plain,+ ( X0 != X1+ | X2 != X3+ | X4 != op2(X1,X3)+ | op2(X0,X2) = X4 ),+ inference(resolution,[status(thm)],[c_16534,c_16532])).++cnf(c_3040833,plain,+ ( X0 != h2(e10)+ | X1 != e21+ | X2 != e21+ | op2(X1,X2) = X0 ),+ inference(resolution,[status(thm)],[c_3038294,c_3013887])).++cnf(c_4189865,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | h3(op1(e11,e11)) != h2(e10)+ | h3(e11) != e21 ),+ inference(resolution,[status(thm)],[c_4189815,c_3040833])).++cnf(c_4189870,plain,+ ( op2(h3(e10),h3(e13)) != e22+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e11)) != e23+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_4189868,c_268,c_257,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,c_16545,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_21699,c_23054,c_23125,c_23124,c_23181,c_23176,c_24269,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,c_229253,c_230430,c_2627800,c_4189865])).++cnf(c_4189871,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(renaming,[status(thm)],[c_4189870])).++cnf(c_9,plain,+ ( op1(e11,e12) = e11+ | op1(e11,e12) = e12+ | op1(e11,e12) = e13+ | e10 = op1(e11,e12) ),+ inference(cnf_transformation,[],[f66])).++cnf(c_100,plain,+ ( op1(e13,e10) != op1(e13,e12) ),+ inference(cnf_transformation,[],[f199])).++cnf(c_16554,plain,+ ( op1(e13,e10) != X0+ | op1(e13,e10) = op1(e13,e12)+ | op1(e13,e12) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16555,plain,+ ( op1(e13,e10) = op1(e13,e12)+ | op1(e13,e10) != e12+ | op1(e13,e12) != e12 ),+ inference(instantiation,[status(thm)],[c_16554])).++cnf(c_229814,plain,+ ( op1(e10,e12) = e12+ | op1(e11,e12) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_26,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_140,c_139,c_128,c_126,c_100,c_42,c_39,c_23,c_16539,c_16545,c_16555,c_16958,c_17013,c_17146,c_17224,c_17310,c_17316,c_17467,c_17675,c_17685,c_18082,c_18107,c_18166,c_18206,c_19311,c_20081,c_20113,c_20238,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_30493,c_31852,c_31860,c_32730,c_36462,c_45564,c_47043,c_49848,c_62391,c_62414,c_66850,c_72084,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,c_229253])).++cnf(c_229881,plain,+ ( X0 = op1(e10,e12)+ | X0 != e12+ | op1(e11,e12) = e12 ),+ inference(resolution,[status(thm)],[c_229814,c_16532])).++cnf(c_229882,plain,+ ( op1(e11,e12) = e12+ | e12 = op1(e10,e12)+ | e12 != e12 ),+ inference(instantiation,[status(thm)],[c_229881])).++cnf(c_3023431,plain,+ ( op1(e11,e12) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_9,c_254,c_196,c_16545,c_17310,c_229882,c_240223])).++cnf(c_3023453,plain,+ ( e12 = op1(e11,e12) ),+ inference(resolution,[status(thm)],[c_3023431,c_3013688])).++cnf(c_3055867,plain,+ ( X0 != op1(e11,e12)+ | h3(X0) = h3(e12) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023453])).++cnf(c_3253477,plain,+ ( X0 != op1(e11,e12)+ | e22 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3055867,c_3013683])).++cnf(c_3253657,plain,+ ( e22 = h3(op1(e11,e12)) ),+ inference(resolution,[status(thm)],[c_3253477,c_16531])).++cnf(c_3253755,plain,+ ( h3(op1(e11,e12)) = e22 ),+ inference(resolution,[status(thm)],[c_3253657,c_3013688])).++cnf(c_3253767,plain,+ ( X0 != e22+ | h3(op1(e11,e12)) = X0 ),+ inference(resolution,[status(thm)],[c_3253755,c_16532])).++cnf(c_3254875,plain,+ ( X0 = h3(op1(e11,e12))+ | X0 != e22 ),+ inference(resolution,[status(thm)],[c_3253767,c_3013688])).++cnf(c_4189920,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4189871,c_3254875])).++cnf(c_8,plain,+ ( op1(e11,e13) = e11+ | op1(e11,e13) = e12+ | op1(e11,e13) = e13+ | e10 = op1(e11,e13) ),+ inference(cnf_transformation,[],[f67])).++cnf(c_108,plain,+ ( op1(e11,e12) != op1(e11,e13) ),+ inference(cnf_transformation,[],[f191])).++cnf(c_16570,plain,+ ( op1(e11,e12) != X0+ | op1(e11,e12) = op1(e11,e13)+ | op1(e11,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_16571,plain,+ ( op1(e11,e12) = op1(e11,e13)+ | op1(e11,e12) != e12+ | op1(e11,e13) != e12 ),+ inference(instantiation,[status(thm)],[c_16570])).++cnf(c_138548,plain,+ ( X0 != X1+ | op1(e11,e13) != X1+ | op1(e11,e13) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_139984,plain,+ ( X0 != op1(e11,e13)+ | op1(e11,e13) = X0+ | op1(e11,e13) != op1(e11,e13) ),+ inference(instantiation,[status(thm)],[c_138548])).++cnf(c_141310,plain,+ ( op1(e11,e13) = X0+ | X0 != op1(e11,e13) ),+ inference(global_propositional_subsumption,[status(thm)],[c_139984,c_17110,c_18203])).++cnf(c_141311,plain,+ ( X0 != op1(e11,e13)+ | op1(e11,e13) = X0 ),+ inference(renaming,[status(thm)],[c_141310])).++cnf(c_141313,plain,+ ( op1(e11,e13) = e10+ | e10 != op1(e11,e13) ),+ inference(instantiation,[status(thm)],[c_141311])).++cnf(c_225283,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e11) = op1(e11,e13)+ | op1(e11,e13) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_225658,plain,+ ( op1(e11,e11) != X0+ | op1(e11,e13) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_225283,c_109,c_17033,c_17034,c_25719])).++cnf(c_229477,plain,+ ( op1(e11,e11) != e10+ | op1(e11,e13) != e10 ),+ inference(instantiation,[status(thm)],[c_225658])).++cnf(c_3023364,plain,+ ( op1(e11,e13) = e11 ),+ inference(global_propositional_subsumption,[status(thm)],[c_8,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,c_135,c_134,c_132,c_128,c_126,c_124,c_123,c_120,c_113,c_112,c_111,c_108,c_107,c_104,c_103,c_98,c_41,c_39,c_32,c_24,c_23,c_12,c_10,c_6,c_16539,c_16545,c_16561,c_16571,c_16603,c_16623,c_16958,c_17013,c_17034,c_17044,c_17059,c_17146,c_17196,c_17224,c_17310,c_17316,c_17467,c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_24898,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,c_34859,c_35127,c_36527,c_45564,c_47043,c_49848,c_59901,c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,c_76700,c_133487,c_137595,c_137971,c_137988,c_138028,c_138819,c_141313,c_142352,c_144212,c_154058,c_157476,c_162431,c_163528,c_178052,c_229477,c_229618,c_229882,c_229903,c_231889,c_233740,c_240223])).++cnf(c_3023386,plain,+ ( e11 = op1(e11,e13) ),+ inference(resolution,[status(thm)],[c_3023364,c_3013688])).++cnf(c_3055869,plain,+ ( X0 != op1(e11,e13)+ | h3(X0) = h3(e11) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023386])).++cnf(c_3253508,plain,+ ( X0 != op1(e11,e13)+ | e21 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3055869,c_3100542])).++cnf(c_3253901,plain,+ ( e21 = h3(op1(e11,e13)) ),+ inference(resolution,[status(thm)],[c_3253508,c_16531])).++cnf(c_3253999,plain,+ ( h3(op1(e11,e13)) = e21 ),+ inference(resolution,[status(thm)],[c_3253901,c_3013688])).++cnf(c_3254011,plain,+ ( X0 != e21+ | h3(op1(e11,e13)) = X0 ),+ inference(resolution,[status(thm)],[c_3253999,c_16532])).++cnf(c_3255786,plain,+ ( X0 = h3(op1(e11,e13))+ | X0 != e21 ),+ inference(resolution,[status(thm)],[c_3254011,c_3013688])).++cnf(c_4189948,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4189920,c_3255786])).++cnf(c_7,plain,+ ( op1(e12,e10) = e11+ | op1(e12,e10) = e12+ | op1(e12,e10) = e13+ | e10 = op1(e12,e10) ),+ inference(cnf_transformation,[],[f68])).++cnf(c_3023360,plain,+ ( op1(e12,e10) = e11 ),+ inference(global_propositional_subsumption,[status(thm)],[c_7,c_254,c_253,c_16545,c_17013,c_18166,c_20243,c_32730])).++cnf(c_3023382,plain,+ ( e11 = op1(e12,e10) ),+ inference(resolution,[status(thm)],[c_3023360,c_3013688])).++cnf(c_3055872,plain,+ ( X0 != op1(e12,e10)+ | h3(X0) = h3(e11) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023382])).++cnf(c_3253525,plain,+ ( X0 != op1(e12,e10)+ | e21 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3055872,c_3100542])).++cnf(c_3254024,plain,+ ( e21 = h3(op1(e12,e10)) ),+ inference(resolution,[status(thm)],[c_3253525,c_16531])).++cnf(c_3254122,plain,+ ( h3(op1(e12,e10)) = e21 ),+ inference(resolution,[status(thm)],[c_3254024,c_3013688])).++cnf(c_3254134,plain,+ ( X0 != e21+ | h3(op1(e12,e10)) = X0 ),+ inference(resolution,[status(thm)],[c_3254122,c_16532])).++cnf(c_3256215,plain,+ ( X0 = h3(op1(e12,e10))+ | X0 != e21 ),+ inference(resolution,[status(thm)],[c_3254134,c_3013688])).++cnf(c_4189976,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e10)) != e21+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4189948,c_3256215])).++cnf(c_3023356,plain,+ ( op1(e12,e11) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_6,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_132,c_128,c_126,c_124,c_123,c_107,c_104,c_103,c_39,c_23,c_12,c_16539,c_16545,c_16603,c_16958,c_17013,c_17146,c_17224,c_17316,c_17467,c_17673,c_17685,c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19078,c_19311,c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_31852,c_31860,c_31892,c_32502,c_32730,c_33701,c_45564,c_47043,c_49848,c_59901,c_60219,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,c_133487,c_137595,c_138004,c_138028,c_142352,c_144212,c_154058,c_162431,c_229618,c_231889])).++cnf(c_3023378,plain,+ ( e12 = op1(e12,e11) ),+ inference(resolution,[status(thm)],[c_3023356,c_3013688])).++cnf(c_3055866,plain,+ ( X0 != op1(e12,e11)+ | h3(X0) = h3(e12) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023378])).++cnf(c_3253463,plain,+ ( X0 != op1(e12,e11)+ | e22 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3055866,c_3013683])).++cnf(c_3253536,plain,+ ( e22 = h3(op1(e12,e11)) ),+ inference(resolution,[status(thm)],[c_3253463,c_16531])).++cnf(c_3253634,plain,+ ( h3(op1(e12,e11)) = e22 ),+ inference(resolution,[status(thm)],[c_3253536,c_3013688])).++cnf(c_3253646,plain,+ ( X0 != e22+ | h3(op1(e12,e11)) = X0 ),+ inference(resolution,[status(thm)],[c_3253634,c_16532])).++cnf(c_3254458,plain,+ ( X0 = h3(op1(e12,e11))+ | X0 != e22 ),+ inference(resolution,[status(thm)],[c_3253646,c_3013688])).++cnf(c_4190004,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e10)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4189976,c_3254458])).++cnf(c_3055754,plain,+ ( X0 != op1(e12,e12)+ | h3(X0) = h3(e10) ),+ inference(resolution,[status(thm)],[c_3039293,c_254])).++cnf(c_3189977,plain,+ ( X0 != op1(e12,e12)+ | e20 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3055754,c_3023707])).++cnf(c_3190033,plain,+ ( e20 = h3(op1(e12,e12)) ),+ inference(resolution,[status(thm)],[c_3189977,c_16531])).++cnf(c_3190127,plain,+ ( h3(op1(e12,e12)) = e20 ),+ inference(resolution,[status(thm)],[c_3190033,c_3013688])).++cnf(c_3190139,plain,+ ( X0 != e20+ | h3(op1(e12,e12)) = X0 ),+ inference(resolution,[status(thm)],[c_3190127,c_16532])).++cnf(c_3190369,plain,+ ( X0 = h3(op1(e12,e12))+ | X0 != e20 ),+ inference(resolution,[status(thm)],[c_3190139,c_3013688])).++cnf(c_4190032,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e10)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e12)) != e20+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4190004,c_3190369])).++cnf(c_20998,plain,+ ( X0 != e10+ | h3(X0) = h3(e10) ),+ inference(instantiation,[status(thm)],[c_16537])).++cnf(c_28859,plain,+ ( op1(e12,e12) != e10+ | h3(op1(e12,e12)) = h3(e10) ),+ inference(instantiation,[status(thm)],[c_20998])).++cnf(c_3013682,plain,+ ( X0 != h3(e10)+ | op2(e22,e22) = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_268])).++cnf(c_3038464,plain,+ ( X0 = op2(e22,e22)+ | X0 != h3(e10) ),+ inference(resolution,[status(thm)],[c_3013682,c_3013688])).++cnf(c_3040845,plain,+ ( X0 != h3(e10)+ | X1 != e22+ | X2 != e22+ | op2(X1,X2) = X0 ),+ inference(resolution,[status(thm)],[c_3038464,c_3013887])).++cnf(c_4190030,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e10)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | h3(op1(e12,e12)) != h3(e10)+ | h3(e12) != e22 ),+ inference(resolution,[status(thm)],[c_4190004,c_3040845])).++cnf(c_4190034,plain,+ ( op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e10)) != e21+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e11)) != e23+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_4190032,c_254,c_16539,c_16545,c_20081,c_28859,c_224868,c_4190030])).++cnf(c_4190035,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e10)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(renaming,[status(thm)],[c_4190034])).++cnf(c_3023352,plain,+ ( op1(e12,e13) = e13 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_132,c_128,c_126,c_124,c_123,c_107,c_104,c_103,c_39,c_23,c_12,c_6,c_16539,c_16545,c_16603,c_16958,c_17013,c_17146,c_17224,c_17316,c_17467,c_17673,c_17685,c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19078,c_19311,c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_31852,c_31860,c_31892,c_32502,c_32730,c_33701,c_45564,c_47043,c_49848,c_59901,c_60219,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,c_133487,c_137595,c_137971,c_138028,c_142352,c_144212,c_154058,c_162431,c_229618,c_231889])).++cnf(c_3023374,plain,+ ( e13 = op1(e12,e13) ),+ inference(resolution,[status(thm)],[c_3023352,c_3013688])).++cnf(c_3055865,plain,+ ( X0 != op1(e12,e13)+ | h3(X0) = h3(e13) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023374])).++cnf(c_3569231,plain,+ ( X0 != op1(e12,e13)+ | e23 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3567206,c_3055865])).++cnf(c_3917167,plain,+ ( e23 = h3(op1(e12,e13)) ),+ inference(resolution,[status(thm)],[c_3569231,c_16531])).++cnf(c_3917392,plain,+ ( h3(op1(e12,e13)) = e23 ),+ inference(resolution,[status(thm)],[c_3917167,c_3013688])).++cnf(c_3917424,plain,+ ( X0 != e23+ | h3(op1(e12,e13)) = X0 ),+ inference(resolution,[status(thm)],[c_3917392,c_16532])).++cnf(c_4066181,plain,+ ( X0 = h3(op1(e12,e13))+ | X0 != e23 ),+ inference(resolution,[status(thm)],[c_3917424,c_3013688])).++cnf(c_4190080,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e10)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4190035,c_4066181])).++cnf(c_3,plain,+ ( op1(e13,e10) = e11+ | op1(e13,e10) = e12+ | op1(e13,e10) = e13+ | e10 = op1(e13,e10) ),+ inference(cnf_transformation,[],[f72])).++cnf(c_3023348,plain,+ ( op1(e13,e10) = e12 ),+ inference(global_propositional_subsumption,[status(thm)],[c_3,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_140,c_139,c_128,c_126,c_42,c_39,c_23,c_16539,c_16545,c_16958,c_17013,c_17146,c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,c_18206,c_19311,c_20081,c_20113,c_20238,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_30493,c_31852,c_31860,c_32730,c_36462,c_45564,c_47043,c_49848,c_62391,c_62414,c_66850,c_72084,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,c_229253])).++cnf(c_3023370,plain,+ ( e12 = op1(e13,e10) ),+ inference(resolution,[status(thm)],[c_3023348,c_3013688])).++cnf(c_3055914,plain,+ ( X0 != op1(e13,e10)+ | h3(X0) = h3(e12) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023370])).++cnf(c_3256581,plain,+ ( X0 != op1(e13,e10)+ | e22 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3055914,c_3013683])).++cnf(c_3257831,plain,+ ( e22 = h3(op1(e13,e10)) ),+ inference(resolution,[status(thm)],[c_3256581,c_16531])).++cnf(c_3257935,plain,+ ( h3(op1(e13,e10)) = e22 ),+ inference(resolution,[status(thm)],[c_3257831,c_3013688])).++cnf(c_3257947,plain,+ ( X0 != e22+ | h3(op1(e13,e10)) = X0 ),+ inference(resolution,[status(thm)],[c_3257935,c_16532])).++cnf(c_3258478,plain,+ ( X0 = h3(op1(e13,e10))+ | X0 != e22 ),+ inference(resolution,[status(thm)],[c_3257947,c_3013688])).++cnf(c_4190106,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e10)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4190080,c_3258478])).++cnf(c_3013896,plain,+ ( op1(e13,e11) = e11 ),+ inference(global_propositional_subsumption,[status(thm)],[c_2,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,c_135,c_132,c_128,c_126,c_124,c_123,c_120,c_113,c_112,c_107,c_104,c_103,c_98,c_41,c_39,c_32,c_24,c_23,c_12,c_6,c_16539,c_16545,c_16561,c_16603,c_16958,c_17013,c_17059,c_17146,c_17196,c_17224,c_17316,c_17467,c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,c_34859,c_35127,c_36527,c_45564,c_47043,c_49848,c_59901,c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,c_76700,c_133487,c_137595,c_137971,c_137988,c_138028,c_142352,c_144212,c_154058,c_157476,c_162431,c_163528,c_178052,c_229618,c_229992,c_231889,c_233740])).++cnf(c_3023298,plain,+ ( e11 = op1(e13,e11) ),+ inference(resolution,[status(thm)],[c_3013896,c_3013688])).++cnf(c_3055868,plain,+ ( X0 != op1(e13,e11)+ | h3(X0) = h3(e11) ),+ inference(resolution,[status(thm)],[c_3039293,c_3023298])).++cnf(c_3253491,plain,+ ( X0 != op1(e13,e11)+ | e21 = h3(X0) ),+ inference(resolution,[status(thm)],[c_3055868,c_3100542])).++cnf(c_3253778,plain,+ ( e21 = h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_3253491,c_16531])).++cnf(c_3253876,plain,+ ( h3(op1(e13,e11)) = e21 ),+ inference(resolution,[status(thm)],[c_3253778,c_3013688])).++cnf(c_3253888,plain,+ ( X0 != e21+ | h3(op1(e13,e11)) = X0 ),+ inference(resolution,[status(thm)],[c_3253876,c_16532])).++cnf(c_3255361,plain,+ ( X0 = h3(op1(e13,e11))+ | X0 != e21 ),+ inference(resolution,[status(thm)],[c_3253888,c_3013688])).++cnf(c_4193570,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e10)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21 ),+ inference(resolution,[status(thm)],[c_4190106,c_3255361])).++cnf(c_355943,plain,+ ( X0 != X1+ | X2 != h3(X1)+ | X2 = h3(X0) ),+ inference(resolution,[status(thm)],[c_16532,c_16537])).++cnf(c_380149,plain,+ ( X0 != X1+ | X2 != X1+ | h3(X2) = h3(X0) ),+ inference(resolution,[status(thm)],[c_355943,c_16537])).++cnf(c_356070,plain,+ ( op1(e13,e11) = e11 ),+ inference(global_propositional_subsumption,[status(thm)],[c_2,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,c_135,c_132,c_128,c_126,c_124,c_123,c_120,c_113,c_112,c_107,c_104,c_103,c_98,c_41,c_39,c_32,c_24,c_23,c_12,c_6,c_16539,c_16545,c_16561,c_16603,c_16958,c_17013,c_17059,c_17146,c_17196,c_17224,c_17316,c_17467,c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,c_34859,c_35127,c_36527,c_45564,c_47043,c_49848,c_59901,c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,c_76700,c_133487,c_137595,c_137971,c_137988,c_138028,c_142352,c_144212,c_154058,c_157476,c_162431,c_163528,c_178052,c_229618,c_229992,c_231889,c_233740])).++cnf(c_356085,plain,+ ( X0 = op1(e13,e11)+ | X0 != e11 ),+ inference(resolution,[status(thm)],[c_356070,c_16532])).++cnf(c_381409,plain,+ ( X0 != op1(e13,e11)+ | X1 != e11+ | h3(X0) = h3(X1) ),+ inference(resolution,[status(thm)],[c_380149,c_356085])).++cnf(c_355931,plain,+ ( X0 != h2(e12)+ | X0 = e21 ),+ inference(resolution,[status(thm)],[c_16532,c_265])).++cnf(c_356091,plain,+ ( h2(e12) = e21 ),+ inference(resolution,[status(thm)],[c_355931,c_16531])).++cnf(c_356095,plain,+ ( X0 = h2(e12)+ | X0 != e21 ),+ inference(resolution,[status(thm)],[c_356091,c_16532])).++cnf(c_365925,plain,+ ( X0 = X1+ | X0 != h2(e12)+ | X1 != e21 ),+ inference(resolution,[status(thm)],[c_356095,c_16532])).++cnf(c_379927,plain,+ ( X0 != e21+ | e21 = X0 ),+ inference(resolution,[status(thm)],[c_365925,c_265])).++cnf(c_379943,plain,+ ( e21 = op2(e22,op2(e22,e22)) ),+ inference(resolution,[status(thm)],[c_379927,c_256])).++cnf(c_379965,plain,+ ( X0 != op2(e22,op2(e22,e22))+ | X0 = e21 ),+ inference(resolution,[status(thm)],[c_379943,c_16532])).++cnf(c_355933,plain,+ ( X0 = op2(e22,op2(e22,e22))+ | X0 != h3(e11) ),+ inference(resolution,[status(thm)],[c_16532,c_267])).++cnf(c_380474,plain,+ ( X0 != h3(e11)+ | X0 = e21 ),+ inference(resolution,[status(thm)],[c_379965,c_355933])).++cnf(c_491688,plain,+ ( X0 != op1(e13,e11)+ | h3(X0) = e21+ | e11 != e11 ),+ inference(resolution,[status(thm)],[c_381409,c_380474])).++cnf(c_491696,plain,+ ( X0 != op1(e13,e11)+ | h3(X0) = e21 ),+ inference(equality_resolution_simp,[status(thm)],[c_491688])).++cnf(c_594517,plain,+ ( h3(op1(e13,e11)) = e21 ),+ inference(resolution,[status(thm)],[c_491696,c_16531])).++cnf(c_2032312,plain,+ ( op2(h3(e13),h3(e11)) != X0+ | op2(h3(e13),h3(e11)) = h3(op1(e13,e11))+ | h3(op1(e13,e11)) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_2067930,plain,+ ( op2(h3(e13),h3(e11)) = h3(op1(e13,e11))+ | op2(h3(e13),h3(e11)) != e21+ | h3(op1(e13,e11)) != e21 ),+ inference(instantiation,[status(thm)],[c_2032312])).++cnf(c_3013671,plain,+ ( X0 != e21+ | op2(e22,op2(e22,e22)) = X0 ),+ inference(resolution,[status(thm)],[c_16532,c_256])).++cnf(c_3038562,plain,+ ( X0 = op2(e22,op2(e22,e22))+ | X0 != e21 ),+ inference(resolution,[status(thm)],[c_3013671,c_3013688])).++cnf(c_3054377,plain,+ ( X0 != op2(e22,e22)+ | X1 != e21+ | X2 != e22+ | op2(X2,X0) = X1 ),+ inference(resolution,[status(thm)],[c_3038562,c_3013887])).++cnf(c_4190168,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | h3(op1(e12,e10)) != e21+ | h3(e10) != op2(e22,e22)+ | h3(e12) != e22 ),+ inference(resolution,[status(thm)],[c_3054377,c_4189948])).++cnf(c_356142,plain,+ ( op1(e12,e10) = e11 ),+ inference(global_propositional_subsumption,[status(thm)],[c_7,c_254,c_253,c_16545,c_17013,c_18166,c_20243,c_32730])).++cnf(c_365910,plain,+ ( X0 = op1(e12,e10)+ | X0 != e11 ),+ inference(resolution,[status(thm)],[c_356142,c_16532])).++cnf(c_381413,plain,+ ( X0 != op1(e12,e10)+ | X1 != e11+ | h3(X0) = h3(X1) ),+ inference(resolution,[status(thm)],[c_380149,c_365910])).++cnf(c_492265,plain,+ ( X0 != op1(e12,e10)+ | h3(X0) = e21+ | e11 != e11 ),+ inference(resolution,[status(thm)],[c_381413,c_380474])).++cnf(c_492273,plain,+ ( X0 != op1(e12,e10)+ | h3(X0) = e21 ),+ inference(equality_resolution_simp,[status(thm)],[c_492265])).++cnf(c_595076,plain,+ ( h3(op1(e12,e10)) = e21 ),+ inference(resolution,[status(thm)],[c_492273,c_16531])).++cnf(c_4193416,plain,+ ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e11)) != e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4190168,c_268,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,c_16545,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,c_23176,c_24269,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_30252,c_31852,c_31860,c_32730,c_35056,c_45564,c_45834,c_47043,c_49848,c_58695,c_62414,c_66850,c_72084,c_93661,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,c_224868,c_229253,c_595076])).++cnf(c_4193417,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(renaming,[status(thm)],[c_4193416])).++cnf(c_4193462,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4193417,c_3254458])).++cnf(c_4193489,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e12)) != e20+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4193462,c_3190369])).++cnf(c_4193487,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+ | h3(op1(e12,e12)) != h3(e10)+ | h3(e12) != e22 ),+ inference(resolution,[status(thm)],[c_4193462,c_3040845])).++cnf(c_4193492,plain,+ ( op2(h3(e12),h3(e11)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e11)) != e23+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(global_propositional_subsumption,[status(thm)],[c_4193489,c_254,c_16539,c_16545,c_20081,c_28859,c_224868,c_4193487])).++cnf(c_4193493,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(renaming,[status(thm)],[c_4193492])).++cnf(c_4193543,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4193493,c_4066181])).++cnf(c_4193595,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+ inference(resolution,[status(thm)],[c_4193543,c_3258478])).++cnf(c_4193598,plain,+ ( op2(h3(e11),h3(e13)) != e21+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e11)) != e23+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4193570,c_594517,c_2067930,c_4193595])).++cnf(c_4193599,plain,+ ( op2(h3(e10),h3(e11)) != e23+ | op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21 ),+ inference(renaming,[status(thm)],[c_4193598])).++cnf(c_3024524,plain,+ ( op2(e20,e21) = e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_62,c_17427,c_113093,c_155173,c_165269,c_178764,c_225198,c_255252])).++cnf(c_3024534,plain,+ ( e23 = op2(e20,e21) ),+ inference(resolution,[status(thm)],[c_3024524,c_3013688])).++cnf(c_3040122,plain,+ ( X0 != e20+ | X1 != e21+ | op2(X0,X1) = e23 ),+ inference(resolution,[status(thm)],[c_3013887,c_3024534])).++cnf(c_4193662,plain,+ ( op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21+ | h3(e10) != e20+ | h3(e11) != e21 ),+ inference(resolution,[status(thm)],[c_4193599,c_3040122])).++cnf(c_4193671,plain,+ ( op2(h3(e10),h3(e12)) != e21+ | op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4193662,c_268,c_257,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,c_16545,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_21699,c_23054,c_23125,c_23124,c_23181,c_23176,c_24269,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,c_229253,c_230430])).++cnf(c_3024445,plain,+ ( op2(e20,e22) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_61,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_187,c_179,c_178,c_177,c_166,c_155,c_153,c_90,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17790,c_17816,c_17913,c_18617,c_19346,c_19400,c_21017,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33694,c_33893,c_34088,c_36100,c_38580,c_38896,c_39126,c_39778,c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,c_95072,c_102572,c_107924,c_112325,c_113093,c_149258,c_178764,c_225198,c_247675,c_255252])).++cnf(c_3024469,plain,+ ( e21 = op2(e20,e22) ),+ inference(resolution,[status(thm)],[c_3024445,c_3013688])).++cnf(c_3040121,plain,+ ( X0 != e20+ | X1 != e22+ | op2(X0,X1) = e21 ),+ inference(resolution,[status(thm)],[c_3013887,c_3024469])).++cnf(c_4195810,plain,+ ( op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21+ | h3(e10) != e20+ | h3(e12) != e22 ),+ inference(resolution,[status(thm)],[c_4193671,c_3040121])).++cnf(c_4195811,plain,+ ( op2(h3(e10),h3(e13)) != e22+ | op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4195810,c_268,c_257,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,c_16545,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_21699,c_23054,c_23125,c_23124,c_23181,c_23176,c_24269,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,c_224868,c_229253])).++cnf(c_3024441,plain,+ ( op2(e20,e23) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_60,c_225198,c_255252])).++cnf(c_3024465,plain,+ ( e22 = op2(e20,e23) ),+ inference(resolution,[status(thm)],[c_3024441,c_3013688])).++cnf(c_3040128,plain,+ ( X0 != e20+ | X1 != e23+ | op2(X0,X1) = e22 ),+ inference(resolution,[status(thm)],[c_3013887,c_3024465])).++cnf(c_4195846,plain,+ ( op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21+ | h3(e10) != e20+ | h3(e13) != e23 ),+ inference(resolution,[status(thm)],[c_4195811,c_3040128])).++cnf(c_4195851,plain,+ ( op2(h3(e11),h3(e12)) != e22+ | op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4195846,c_268,c_266,c_257,c_255,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,c_16545,c_16905,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,c_18617,c_19176,c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_21699,c_23054,c_23125,c_23124,c_23181,c_23176,c_23529,c_23530,c_24269,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,c_229253])).++cnf(c_3024429,plain,+ ( op2(e21,e22) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_57,c_257,c_256,c_255,c_245,c_203,c_202,c_200,c_199,c_198,c_191,c_187,c_179,c_175,c_170,c_166,c_155,c_153,c_90,c_88,c_77,c_74,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_17740,c_17816,c_18617,c_18971,c_19346,c_19400,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_28198,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_44781,c_44824,c_45778,c_49003,c_51437,c_68875,c_68975,c_68974,c_69423,c_71340,c_90241,c_95072,c_102572,c_107924,c_108004,c_112325,c_112575,c_149258,c_239027,c_240050,c_241832])).++cnf(c_3024453,plain,+ ( e22 = op2(e21,e22) ),+ inference(resolution,[status(thm)],[c_3024429,c_3013688])).++cnf(c_3040115,plain,+ ( X0 != e21+ | X1 != e22+ | op2(X0,X1) = e22 ),+ inference(resolution,[status(thm)],[c_3013887,c_3024453])).++cnf(c_4195881,plain,+ ( op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21+ | h3(e11) != e21+ | h3(e12) != e22 ),+ inference(resolution,[status(thm)],[c_4195851,c_3040115])).++cnf(c_4195887,plain,+ ( op2(h3(e11),h3(e13)) != e21+ | op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4195881,c_224868,c_230430])).++cnf(c_56,plain,+ ( op2(e21,e23) = e21+ | op2(e21,e23) = e22+ | op2(e21,e23) = e23+ | e20 = op2(e21,e23) ),+ inference(cnf_transformation,[],[f115])).++cnf(c_69062,plain,+ ( e21 != op2(e20,e23)+ | e21 = e22+ | e22 != op2(e20,e23) ),+ inference(instantiation,[status(thm)],[c_59569])).++cnf(c_230739,plain,+ ( op2(e21,e23) = e21+ | op2(e20,e23) = e21+ | op2(e23,e23) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_68,c_257,c_256,c_153,c_17349,c_17350,c_17427,c_21159,c_26103,c_34088])).++cnf(c_230740,plain,+ ( op2(e20,e23) = e21+ | op2(e21,e23) = e21+ | op2(e23,e23) = e21 ),+ inference(renaming,[status(thm)],[c_230739])).++cnf(c_16724,plain,+ ( op2(e20,e21) != X0+ | op2(e20,e21) = op2(e21,e21)+ | op2(e21,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_19091,plain,+ ( op2(e20,e21) != op2(e20,e21)+ | op2(e20,e21) = op2(e21,e21)+ | op2(e21,e21) != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_16724])).++cnf(c_38518,plain,+ ( op2(e20,e21) != op2(e20,e21)+ | op2(e20,e21) = e21+ | e21 != op2(e20,e21) ),+ inference(instantiation,[status(thm)],[c_31689])).++cnf(c_77595,plain,+ ( op2(e20,e21) != e21+ | op2(e21,e21) = op2(e20,e21)+ | op2(e21,e21) != e21 ),+ inference(instantiation,[status(thm)],[c_61036])).++cnf(c_89082,plain,+ ( X0 != op2(e21,e23)+ | e20 = X0+ | e20 != op2(e21,e23) ),+ inference(instantiation,[status(thm)],[c_60272])).++cnf(c_99421,plain,+ ( op2(e20,e22) != op2(e21,e23)+ | e20 = op2(e20,e22)+ | e20 != op2(e21,e23) ),+ inference(instantiation,[status(thm)],[c_89082])).++cnf(c_138274,plain,+ ( h2(e12) != X0+ | e22 != X0+ | e22 = h2(e12) ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_17470,plain,+ ( e21 != h2(e12)+ | e21 = e22+ | e22 != h2(e12) ),+ inference(instantiation,[status(thm)],[c_16749])).++cnf(c_139860,plain,+ ( e22 != X0+ | h2(e12) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_138274,c_265,c_200,c_17470])).++cnf(c_139861,plain,+ ( h2(e12) != X0+ | e22 != X0 ),+ inference(renaming,[status(thm)],[c_139860])).++cnf(c_140340,plain,+ ( h2(e12) != e22+ | e22 != e22 ),+ inference(instantiation,[status(thm)],[c_139861])).++cnf(c_143224,plain,+ ( op2(e20,e22) = op2(e21,e23)+ | op2(e20,e22) != e21+ | op2(e21,e23) != e21 ),+ inference(instantiation,[status(thm)],[c_140849])).++cnf(c_113308,plain,+ ( op2(e20,e22) = op2(e21,e23)+ | op2(e20,e22) != e21+ | op2(e21,e23) != e21 ),+ inference(instantiation,[status(thm)],[c_90406])).++cnf(c_149617,plain,+ ( op2(e20,e22) != e21+ | op2(e20,e22) = op2(e21,e23) ),+ inference(global_propositional_subsumption,[status(thm)],[c_143224,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_181,c_179,c_178,c_177,c_176,c_175,c_174,c_171,c_169,c_167,c_166,c_164,c_163,c_162,c_160,c_159,c_158,c_157,c_155,c_153,c_152,c_90,c_89,c_88,c_87,c_86,c_85,c_77,c_71,c_68,c_67,c_62,c_61,c_57,c_1839,c_1865,c_1943,c_1969,c_16905,c_17254,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17558,c_17740,c_17747,c_17748,c_17770,c_17786,c_17790,c_17799,c_17800,c_17841,c_17842,c_17853,c_17915,c_17931,c_17998,c_18615,c_18616,c_18617,c_18984,c_18997,c_19044,c_19094,c_19246,c_19340,c_19346,c_20774,c_20913,c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,c_22467,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25030,c_25989,c_26105,c_26103,c_26603,c_26604,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_29330,c_33333,c_33461,c_33694,c_33893,c_34088,c_35201,c_36100,c_38487,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_40255,c_44109,c_44248,c_44601,c_49003,c_49014,c_51437,c_62013,c_63683,c_68261,c_68501,c_68565,c_68612,c_68690,c_68975,c_68974,c_69063,c_69096,c_69349,c_74870,c_76914,c_77138,c_77143,c_90409,c_95072,c_102572,c_107767,c_112325,c_112444,c_113308,c_115073,c_115060,c_127540,c_138057,c_138066,c_138069,c_138092,c_142413,c_145078,c_148192])).++cnf(c_149618,plain,+ ( op2(e20,e22) = op2(e21,e23)+ | op2(e20,e22) != e21 ),+ inference(renaming,[status(thm)],[c_149617])).++cnf(c_230357,plain,+ ( X0 = op2(e22,e20)+ | X0 != e21 ),+ inference(resolution,[status(thm)],[c_230351,c_16532])).++cnf(c_230367,plain,+ ( op2(e20,e20) != e21 ),+ inference(resolution,[status(thm)],[c_230357,c_190])).++cnf(c_93,plain,+ ( op2(e20,e20) = e21+ | op2(e20,e21) = e21+ | op2(e20,e22) = e21+ | op2(e20,e23) = e21 ),+ inference(cnf_transformation,[],[f126])).++cnf(c_230376,plain,+ ( op2(e20,e21) = e21+ | op2(e20,e22) = e21+ | op2(e20,e23) = e21 ),+ inference(backward_subsumption_resolution,[status(thm)],[c_230367,c_93])).++cnf(c_239769,plain,+ ( op2(e20,e22) = e21+ | op2(e20,e23) = e21+ | e21 = op2(e20,e21) ),+ inference(resolution,[status(thm)],[c_230376,c_230241])).++cnf(c_230842,plain,+ ( op2(e21,e22) = e22+ | op2(e23,e22) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_74,c_257,c_256,c_255,c_203,c_202,c_200,c_199,c_198,c_191,c_187,c_179,c_166,c_155,c_153,c_90,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_17816,c_18617,c_19346,c_19400,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_44824,c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,c_95072,c_102572,c_107924,c_112325,c_149258])).++cnf(c_230883,plain,+ ( op2(e23,e22) = e22+ | e22 = op2(e21,e22) ),+ inference(resolution,[status(thm)],[c_230842,c_230647])).++cnf(c_242537,plain,+ ( e22 = op2(e21,e22) ),+ inference(backward_subsumption_resolution,[status(thm)],[c_242505,c_230883])).++cnf(c_242541,plain,+ ( X0 != op2(e21,e22)+ | X0 = e22 ),+ inference(resolution,[status(thm)],[c_242537,c_16532])).++cnf(c_230242,plain,+ ( X0 != e21+ | h2(e12) = X0 ),+ inference(resolution,[status(thm)],[c_224947,c_16531])).++cnf(c_251468,plain,+ ( op2(e21,e22) != e21+ | h2(e12) = e22 ),+ inference(resolution,[status(thm)],[c_242541,c_230242])).++cnf(c_252520,plain,+ ( op2(e21,e23) = e21+ | op2(e20,e23) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_230740,c_257,c_256,c_255,c_245,c_203,c_202,c_200,c_199,c_198,c_191,c_187,c_185,c_179,c_178,c_175,c_170,c_166,c_159,c_156,c_155,c_153,c_90,c_88,c_77,c_74,c_56,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_17740,c_17760,c_17790,c_17800,c_17816,c_18617,c_18971,c_18985,c_19091,c_19346,c_19400,c_21017,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_28198,c_33694,c_33893,c_34088,c_36100,c_38518,c_38580,c_38896,c_39126,c_39778,c_44781,c_44824,c_45778,c_49003,c_51437,c_68875,c_68975,c_68974,c_69423,c_71340,c_77595,c_90241,c_95072,c_99421,c_102572,c_107924,c_108004,c_112325,c_112575,c_149258,c_149618,c_239027,c_239769,c_240050,c_241832,c_252024])).++cnf(c_252521,plain,+ ( op2(e20,e23) = e21+ | op2(e21,e23) = e21 ),+ inference(renaming,[status(thm)],[c_252520])).++cnf(c_252592,plain,+ ( op2(e21,e23) = e21+ | e21 = op2(e20,e23) ),+ inference(resolution,[status(thm)],[c_252521,c_230241])).++cnf(c_3024327,plain,+ ( op2(e21,e23) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_56,c_200,c_17427,c_69062,c_113093,c_225198,c_252592,c_255252])).++cnf(c_3024349,plain,+ ( e21 = op2(e21,e23) ),+ inference(resolution,[status(thm)],[c_3024327,c_3013688])).++cnf(c_3040117,plain,+ ( X0 != e21+ | X1 != e23+ | op2(X0,X1) = e21 ),+ inference(resolution,[status(thm)],[c_3013887,c_3024349])).++cnf(c_4195918,plain,+ ( op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21+ | h3(e11) != e21+ | h3(e13) != e23 ),+ inference(resolution,[status(thm)],[c_4195887,c_3040117])).++cnf(c_4195920,plain,+ ( op2(h3(e12),h3(e11)) != e22+ | op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4195918,c_255,c_17427,c_113093,c_115067,c_155173,c_165269,c_178764,c_225198,c_230430,c_255252,c_318273,c_4195915])).++cnf(c_3024319,plain,+ ( op2(e22,e21) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_54,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_187,c_155,c_153,c_149,c_90,c_88,c_77,c_16905,c_17291,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,c_19346,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_49003,c_51437,c_68975,c_68974,c_95072,c_102572,c_112325,c_240038,c_255252])).++cnf(c_3024341,plain,+ ( e22 = op2(e22,e21) ),+ inference(resolution,[status(thm)],[c_3024319,c_3013688])).++cnf(c_3040114,plain,+ ( X0 != e21+ | X1 != e22+ | op2(X1,X0) = e22 ),+ inference(resolution,[status(thm)],[c_3013887,c_3024341])).++cnf(c_4195944,plain,+ ( op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21+ | h3(e11) != e21+ | h3(e12) != e22 ),+ inference(resolution,[status(thm)],[c_4195920,c_3040114])).++cnf(c_4195948,plain,+ ( op2(h3(e12),h3(e13)) != e23+ | op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4195944,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_187,c_179,c_178,c_177,c_166,c_155,c_153,c_90,c_88,c_77,c_61,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17790,c_17816,c_17913,c_18617,c_19346,c_19400,c_21017,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33694,c_33893,c_34088,c_36100,c_38580,c_38896,c_39126,c_39778,c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,c_95072,c_99485,c_102572,c_107924,c_112325,c_113093,c_149258,c_178764,c_224868,c_225198,c_247675,c_255252,c_319334,c_4195946])).++cnf(c_225322,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e20) = op2(e23,e22)+ | op2(e23,e22) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_225942,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e22) != X0 ),+ inference(global_propositional_subsumption,[status(thm)],[c_225322,c_148,c_16650])).++cnf(c_231324,plain,+ ( op2(e23,e20) != op2(e22,e23)+ | op2(e23,e22) != op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_225942])).++cnf(c_24684,plain,+ ( op2(e22,e23) = op2(e23,e23)+ | op2(e22,e23) != e22+ | op2(e23,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_16690])).++cnf(c_29575,plain,+ ( op2(e23,e20) != X0+ | op2(e23,e20) = op2(e23,e21)+ | op2(e23,e21) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_38044,plain,+ ( op2(e23,e20) != op2(e22,e23)+ | op2(e23,e20) = op2(e23,e21)+ | op2(e23,e21) != op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_29575])).++cnf(c_68148,plain,+ ( op2(e22,e23) != op2(e22,e23)+ | op2(e22,e23) = op2(e23,e20)+ | op2(e23,e20) != op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_62238])).++cnf(c_60930,plain,+ ( X0 != e22+ | op2(e23,e21) = X0+ | op2(e23,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_60035])).++cnf(c_70839,plain,+ ( op2(e22,e23) != e22+ | op2(e23,e21) = op2(e22,e23)+ | op2(e23,e21) != e22 ),+ inference(instantiation,[status(thm)],[c_60930])).++cnf(c_70833,plain,+ ( X0 = op2(e22,e23)+ | X0 != e22+ | op2(e22,e23) != e22 ),+ inference(instantiation,[status(thm)],[c_64702])).++cnf(c_90237,plain,+ ( op2(e22,e23) != e22+ | op2(e23,e22) = op2(e22,e23)+ | op2(e23,e22) != e22 ),+ inference(instantiation,[status(thm)],[c_70833])).++cnf(c_59556,plain,+ ( op2(e21,e20) != X0+ | op2(e21,e20) = op2(e23,e20)+ | op2(e23,e20) != X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_95411,plain,+ ( op2(e21,e20) != op2(e22,e23)+ | op2(e21,e20) = op2(e23,e20)+ | op2(e23,e20) != op2(e22,e23) ),+ inference(instantiation,[status(thm)],[c_59556])).++cnf(c_139045,plain,+ ( X0 != X1+ | op2(e21,e20) != X1+ | op2(e21,e20) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_140235,plain,+ ( X0 != e23+ | op2(e21,e20) = X0+ | op2(e21,e20) != e23 ),+ inference(instantiation,[status(thm)],[c_139045])).++cnf(c_17765,plain,+ ( X0 != X1+ | op2(e21,e20) != X1+ | op2(e21,e20) = X0 ),+ inference(instantiation,[status(thm)],[c_16532])).++cnf(c_22511,plain,+ ( X0 != e23+ | op2(e21,e20) = X0+ | op2(e21,e20) != e23 ),+ inference(instantiation,[status(thm)],[c_17765])).++cnf(c_142966,plain,+ ( op2(e21,e20) = X0+ | X0 != e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_140235,c_257,c_256,c_255,c_203,c_199,c_191,c_187,c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,c_19346,c_21159,c_21422,c_22511,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,c_68975,c_95072,c_102572])).++cnf(c_142967,plain,+ ( X0 != e23+ | op2(e21,e20) = X0 ),+ inference(renaming,[status(thm)],[c_142966])).++cnf(c_142969,plain,+ ( op2(e21,e20) = op2(e22,e23)+ | op2(e22,e23) != e23 ),+ inference(instantiation,[status(thm)],[c_142967])).++cnf(c_237320,plain,+ ( op2(e23,e20) != op2(e22,e23) ),+ inference(global_propositional_subsumption,[status(thm)],[c_231324,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_189,c_187,c_184,c_179,c_172,c_168,c_166,c_155,c_153,c_149,c_148,c_91,c_90,c_88,c_77,c_67,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17816,c_17835,c_18617,c_19346,c_19400,c_19398,c_21159,c_21422,c_22510,c_23147,c_24684,c_25036,c_26105,c_26103,c_26603,c_26610,c_27945,c_33768,c_33893,c_34088,c_36100,c_38045,c_38044,c_38580,c_38896,c_39366,c_39778,c_49003,c_51437,c_68148,c_68975,c_68974,c_69423,c_70839,c_71340,c_90237,c_95072,c_95411,c_101640,c_102572,c_107924,c_112325,c_131061,c_142969,c_149072,c_149258,c_225131])).++cnf(c_3024315,plain,+ ( op2(e22,e23) = e23 ),+ inference(global_propositional_subsumption,[status(thm)],[c_52,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_189,c_187,c_184,c_179,c_172,c_168,c_166,c_155,c_153,c_149,c_148,c_91,c_90,c_88,c_77,c_67,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17816,c_17835,c_18617,c_19346,c_19400,c_19398,c_21159,c_21422,c_22510,c_23147,c_24684,c_24688,c_25036,c_26105,c_26103,c_26603,c_26610,c_27945,c_33768,c_33893,c_34088,c_36100,c_38045,c_38044,c_38580,c_38896,c_39366,c_39778,c_49003,c_51437,c_68148,c_68975,c_68974,c_69423,c_70839,c_71340,c_90237,c_95072,c_95411,c_101640,c_102572,c_107924,c_112325,c_131061,c_142969,c_149072,c_149258,c_225131,c_255252])).++cnf(c_3024337,plain,+ ( e23 = op2(e22,e23) ),+ inference(resolution,[status(thm)],[c_3024315,c_3013688])).++cnf(c_3040113,plain,+ ( X0 != e22+ | X1 != e23+ | op2(X0,X1) = e23 ),+ inference(resolution,[status(thm)],[c_3013887,c_3024337])).++cnf(c_4195962,plain,+ ( op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21+ | h3(e12) != e22+ | h3(e13) != e23 ),+ inference(resolution,[status(thm)],[c_4195948,c_3040113])).++cnf(c_4195972,plain,+ ( op2(h3(e13),h3(e10)) != e22+ | op2(h3(e13),h3(e11)) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4195962,c_266,c_255,c_16905,c_18617,c_19176,c_23529,c_23530,c_224868])).++cnf(c_3024311,plain,+ ( op2(e23,e20) = e22 ),+ inference(global_propositional_subsumption,[status(thm)],[c_51,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,c_187,c_155,c_153,c_90,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,c_19346,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_49003,c_51437,c_68975,c_68974,c_95072,c_102572,c_112325,c_255252])).++cnf(c_3024333,plain,+ ( e22 = op2(e23,e20) ),+ inference(resolution,[status(thm)],[c_3024311,c_3013688])).++cnf(c_3040127,plain,+ ( X0 != e20+ | X1 != e23+ | op2(X1,X0) = e22 ),+ inference(resolution,[status(thm)],[c_3013887,c_3024333])).++cnf(c_4195989,plain,+ ( op2(h3(e13),h3(e11)) != e21+ | h3(e10) != e20+ | h3(e13) != e23 ),+ inference(resolution,[status(thm)],[c_4195972,c_3040127])).++cnf(c_4196255,plain,+ ( op2(h3(e13),h3(e11)) != e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_4195989,c_268,c_266,c_257,c_255,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,c_16545,c_16905,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,c_18617,c_19176,c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_21699,c_23054,c_23125,c_23124,c_23181,c_23176,c_23529,c_23530,c_24269,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,c_229253])).++cnf(c_3024128,plain,+ ( op2(e23,e21) = e21 ),+ inference(global_propositional_subsumption,[status(thm)],[c_50,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,c_176,c_166,c_164,c_155,c_153,c_149,c_146,c_95,c_90,c_88,c_87,c_77,c_61,c_1865,c_16905,c_17261,c_17291,c_17300,c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,c_17740,c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,c_19094,c_19246,c_19332,c_19335,c_19346,c_19400,c_20804,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_23147,c_23671,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,c_99363,c_102572,c_107767,c_107924,c_112325,c_113093,c_115073,c_138084,c_149258,c_149600,c_159160,c_159167,c_178764,c_225198,c_247675,c_255252])).++cnf(c_3024142,plain,+ ( e21 = op2(e23,e21) ),+ inference(resolution,[status(thm)],[c_3024128,c_3013688])).++cnf(c_3040116,plain,+ ( X0 != e21+ | X1 != e23+ | op2(X1,X0) = e21 ),+ inference(resolution,[status(thm)],[c_3013887,c_3024142])).++cnf(c_4196265,plain,+ ( h3(e11) != e21+ | h3(e13) != e23 ),+ inference(resolution,[status(thm)],[c_4196255,c_3040116])).++cnf(contradiction,plain,+ ( $false ),+ inference(minisat,[status(thm)],[c_4196265,c_230430,c_23530,c_23529,c_19176,c_18617,c_16905,c_255,c_266])).++%------------------------------------------------------------------------------+%----ORIGINAL SYSTEM OUTPUT+% 0.00/0.03 % Problem : ALG107+1 : TPTP v7.1.0. Released v2.7.0.+% 0.00/0.04 % Command : iproveropt_run.sh %d %s+% 0.03/0.23 % Computer : n026.star.cs.uiowa.edu+% 0.03/0.23 % Model : x86_64 x86_64+% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz+% 0.03/0.23 % Memory : 32218.625MB+% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64+% 0.03/0.23 % CPULimit : 300+% 0.03/0.23 % DateTime : Wed Aug 29 12:38:42 CDT 2018+% 0.03/0.23 % CPUTime : +% 0.06/0.25 +% 0.06/0.25 %---------------- iProver v2.8 (CASC-J9) ----------------%+% 0.06/0.25 +% 0.06/0.26 warning: prop_lit_to_fof_flag: true+% 0.06/0.26 warning: use_rec_defs_flag: true+% 0.06/0.26 warning: def_merge_tr_red_non_prop_flag: true+% 0.06/0.26 warning: finite_models commented: preprocess_after_flattening+% 0.06/0.26 warning: pred_elim_qbf: true+% 0.06/0.26 warning: dbg_qbf_res_prep_flag: true+% 0.06/0.26 +% 0.06/0.26 ------ iProver source info +% 0.06/0.26 +% 0.06/0.26 git: date: 2018-07-06 14:03:16 +0100+% 0.06/0.26 git: sha1: a23ae0111c2c203083e5922e8bb09a201cc5ec4f+% 0.06/0.26 git: non_committed_changes: false+% 0.06/0.26 git: last_make_outside_of_git: false+% 0.06/0.26 +% 0.06/0.26 +% 0.06/0.26 ------ Parsing...+% 0.06/0.26 ------ Clausification by vclausify_rel & Parsing by iProver...+% 0.06/0.26 +% 0.06/0.28 +% 0.06/0.28 +% 0.06/0.28 ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e +% 0.72/0.92 +% 0.72/0.92 ------ Preprocessing... scvd_s sp: 0 0s scvd_e snvd_s sp: 0 0s snvd_e +% 0.72/0.92 +% 0.72/0.92 ------ Preprocessing... sf_s rm: 0 0s sf_e +% 0.72/0.95 ------ Proving...+% 0.72/0.95 ------ Problem Properties +% 0.72/0.95 +% 0.72/0.95 +% 0.72/0.95 clauses 325+% 0.72/0.95 conjectures 0+% 0.72/0.95 EPR 30+% 0.72/0.95 Horn 214+% 0.72/0.95 unary 147+% 0.72/0.95 binary 64+% 0.72/0.95 lits 923+% 0.72/0.95 lits eq 812+% 0.72/0.95 +% 0.72/0.95 ------ Schedule dynamic 5 is on +% 0.72/0.95 +% 0.72/0.95 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.+% 0.72/0.95 +% 0.72/0.95 +% 0.72/0.95 ------ Current options:+% 0.72/0.95 +% 0.72/0.95 +% 0.72/0.95 +% 0.72/0.95 +% 0.72/0.95 +% 0.72/0.95 ------ Proving...+% 10.71/10.95 Time Out after: 29950 full_loop iterations+% 10.71/10.95 +% 10.71/10.95 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 25.+% 10.71/10.95 +% 10.71/10.95 +% 10.71/10.95 ------ Current options:+% 10.71/10.95 +% 10.71/10.95 +% 10.71/10.95 +% 10.71/10.95 +% 10.71/10.95 +% 10.71/10.95 ------ Proving...+% 35.77/36.00 Time Out after: 27406 full_loop iterations+% 35.77/36.00 +% 35.77/36.00 ------ Option_1: Negative Selections Time Limit: 15.+% 35.77/36.00 +% 35.77/36.00 +% 35.77/36.00 ------ Current options:+% 35.77/36.00 +% 35.77/36.00 +% 35.77/36.00 +% 35.77/36.00 +% 35.77/36.00 +% 35.77/36.00 ------ Proving...+% 50.77/51.00 Time Out after: 15011 full_loop iterations+% 50.77/51.00 +% 50.77/51.00 ------ Option_2: Max Selections Time Limit: 15.+% 50.77/51.00 +% 50.77/51.00 +% 50.77/51.00 ------ Current options:+% 50.77/51.00 +% 50.77/51.00 +% 50.77/51.00 +% 50.77/51.00 +% 50.77/51.00 +% 50.77/51.00 ------ Proving...+% 65.76/66.00 Time Out after: 20338 full_loop iterations+% 65.76/66.00 +% 65.76/66.00 ------ Option_3: Min Selections Time Limit: 15.+% 65.76/66.00 +% 65.76/66.00 +% 65.76/66.00 ------ Current options:+% 65.76/66.00 +% 65.76/66.00 +% 65.76/66.00 +% 65.76/66.00 +% 65.76/66.00 +% 65.76/66.00 ------ Proving...+% 80.78/81.00 Time Out after: 18698 full_loop iterations+% 80.78/81.00 +% 80.78/81.00 ------ Input Options Time Limit: Unbounded+% 80.78/81.00 +% 80.78/81.00 +% 80.78/81.00 ------ Current options:+% 80.78/81.00 +% 80.78/81.00 +% 80.78/81.00 +% 80.78/81.00 +% 80.78/81.00 +% 80.78/81.00 ------ Proving...+% 215.56/215.69 +% 215.56/215.69 +% 215.56/215.69 % SZS status Theorem+% 215.56/215.69 +% 215.67/215.80 +% 215.67/215.80 % SZS output start CNFRefutation+% 215.67/215.80 +% 218.15/218.29 fof(f13,axiom,(+% 218.15/218.29 op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = e23 & op2(e22,op2(e22,e22)) = e21 & e20 = op2(e22,e22)),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f317,plain,(+% 218.15/218.29 op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = e23),+% 218.15/218.29 inference(cnf_transformation,[],[f13])).+% 218.15/218.29 +% 218.15/218.29 fof(f16,axiom,(+% 218.15/218.29 op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13) & op2(e22,op2(e22,e22)) = h3(e11) & op2(e22,e22) = h3(e10) & e22 = h3(e12)),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f329,plain,(+% 218.15/218.29 op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f16])).+% 218.15/218.29 +% 218.15/218.29 fof(f1,axiom,(+% 218.15/218.29 (op1(e13,e13) = e13 | op1(e13,e13) = e12 | op1(e13,e13) = e11 | e10 = op1(e13,e13)) & (op1(e13,e12) = e13 | op1(e13,e12) = e12 | op1(e13,e12) = e11 | e10 = op1(e13,e12)) & (op1(e13,e11) = e13 | op1(e13,e11) = e12 | op1(e13,e11) = e11 | e10 = op1(e13,e11)) & (op1(e13,e10) = e13 | op1(e13,e10) = e12 | op1(e13,e10) = e11 | e10 = op1(e13,e10)) & (op1(e12,e13) = e13 | op1(e12,e13) = e12 | op1(e12,e13) = e11 | e10 = op1(e12,e13)) & (op1(e12,e12) = e13 | op1(e12,e12) = e12 | op1(e12,e12) = e11 | e10 = op1(e12,e12)) & (op1(e12,e11) = e13 | op1(e12,e11) = e12 | op1(e12,e11) = e11 | e10 = op1(e12,e11)) & (op1(e12,e10) = e13 | op1(e12,e10) = e12 | op1(e12,e10) = e11 | e10 = op1(e12,e10)) & (op1(e11,e13) = e13 | op1(e11,e13) = e12 | op1(e11,e13) = e11 | e10 = op1(e11,e13)) & (op1(e11,e12) = e13 | op1(e11,e12) = e12 | op1(e11,e12) = e11 | e10 = op1(e11,e12)) & (op1(e11,e11) = e13 | op1(e11,e11) = e12 | op1(e11,e11) = e11 | e10 = op1(e11,e11)) & (op1(e11,e10) = e13 | op1(e11,e10) = e12 | op1(e11,e10) = e11 | e10 = op1(e11,e10)) & (op1(e10,e13) = e13 | op1(e10,e13) = e12 | op1(e10,e13) = e11 | e10 = op1(e10,e13)) & (op1(e10,e12) = e13 | op1(e10,e12) = e12 | op1(e10,e12) = e11 | e10 = op1(e10,e12)) & (op1(e10,e11) = e13 | op1(e10,e11) = e12 | op1(e10,e11) = e11 | e10 = op1(e10,e11)) & (op1(e10,e10) = e13 | op1(e10,e10) = e12 | op1(e10,e10) = e11 | e10 = op1(e10,e10))),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f61,plain,(+% 218.15/218.29 op1(e10,e11) = e13 | op1(e10,e11) = e12 | op1(e10,e11) = e11 | e10 = op1(e10,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f5,axiom,(+% 218.15/218.29 op1(e13,e12) != op1(e13,e13) & op1(e13,e11) != op1(e13,e13) & op1(e13,e11) != op1(e13,e12) & op1(e13,e10) != op1(e13,e13) & op1(e13,e10) != op1(e13,e12) & op1(e13,e10) != op1(e13,e11) & op1(e12,e12) != op1(e12,e13) & op1(e12,e11) != op1(e12,e13) & op1(e12,e11) != op1(e12,e12) & op1(e12,e10) != op1(e12,e13) & op1(e12,e10) != op1(e12,e12) & op1(e12,e10) != op1(e12,e11) & op1(e11,e12) != op1(e11,e13) & op1(e11,e11) != op1(e11,e13) & op1(e11,e11) != op1(e11,e12) & op1(e11,e10) != op1(e11,e13) & op1(e11,e10) != op1(e11,e12) & op1(e11,e10) != op1(e11,e11) & op1(e10,e12) != op1(e10,e13) & op1(e10,e11) != op1(e10,e13) & op1(e10,e11) != op1(e10,e12) & op1(e10,e10) != op1(e10,e13) & op1(e10,e10) != op1(e10,e12) & op1(e10,e10) != op1(e10,e11) & op1(e12,e13) != op1(e13,e13) & op1(e11,e13) != op1(e13,e13) & op1(e11,e13) != op1(e12,e13) & op1(e10,e13) != op1(e13,e13) & op1(e10,e13) != op1(e12,e13) & op1(e10,e13) != op1(e11,e13) & op1(e12,e12) != op1(e13,e12) & op1(e11,e12) != op1(e13,e12) & op1(e11,e12) != op1(e12,e12) & op1(e10,e12) != op1(e13,e12) & op1(e10,e12) != op1(e12,e12) & op1(e10,e12) != op1(e11,e12) & op1(e12,e11) != op1(e13,e11) & op1(e11,e11) != op1(e13,e11) & op1(e11,e11) != op1(e12,e11) & op1(e10,e11) != op1(e13,e11) & op1(e10,e11) != op1(e12,e11) & op1(e10,e11) != op1(e11,e11) & op1(e12,e10) != op1(e13,e10) & op1(e11,e10) != op1(e13,e10) & op1(e11,e10) != op1(e12,e10) & op1(e10,e10) != op1(e13,e10) & op1(e10,e10) != op1(e12,e10) & op1(e10,e10) != op1(e11,e10)),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f196,plain,(+% 218.15/218.29 op1(e12,e11) != op1(e12,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f71,plain,(+% 218.15/218.29 op1(e12,e13) = e13 | op1(e12,e13) = e12 | op1(e12,e13) = e11 | e10 = op1(e12,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f12,axiom,(+% 218.15/218.29 op1(op1(e12,op1(e12,e12)),op1(e12,e12)) = e13 & op1(e12,op1(e12,e12)) = e11 & e10 = op1(e12,e12)),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f312,plain,(+% 218.15/218.29 e10 = op1(e12,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f12])).+% 218.15/218.29 +% 218.15/218.29 fof(f313,plain,(+% 218.15/218.29 op1(e12,op1(e12,e12)) = e11),+% 218.15/218.29 inference(cnf_transformation,[],[f12])).+% 218.15/218.29 +% 218.15/218.29 fof(f194,plain,(+% 218.15/218.29 op1(e12,e10) != op1(e12,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f197,plain,(+% 218.15/218.29 op1(e12,e12) != op1(e12,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f2,axiom,(+% 218.15/218.29 (op1(e13,e13) = e13 | op1(e12,e13) = e13 | op1(e11,e13) = e13 | op1(e10,e13) = e13) & (op1(e13,e13) = e13 | op1(e13,e12) = e13 | op1(e13,e11) = e13 | op1(e13,e10) = e13) & (op1(e13,e13) = e12 | op1(e12,e13) = e12 | op1(e11,e13) = e12 | op1(e10,e13) = e12) & (op1(e13,e13) = e12 | op1(e13,e12) = e12 | op1(e13,e11) = e12 | op1(e13,e10) = e12) & (op1(e13,e13) = e11 | op1(e12,e13) = e11 | op1(e11,e13) = e11 | op1(e10,e13) = e11) & (op1(e13,e13) = e11 | op1(e13,e12) = e11 | op1(e13,e11) = e11 | op1(e13,e10) = e11) & (e10 = op1(e13,e13) | e10 = op1(e12,e13) | e10 = op1(e11,e13) | e10 = op1(e10,e13)) & (e10 = op1(e13,e13) | e10 = op1(e13,e12) | e10 = op1(e13,e11) | e10 = op1(e13,e10)) & (op1(e13,e12) = e13 | op1(e12,e12) = e13 | op1(e11,e12) = e13 | op1(e10,e12) = e13) & (op1(e12,e13) = e13 | op1(e12,e12) = e13 | op1(e12,e11) = e13 | op1(e12,e10) = e13) & (op1(e13,e12) = e12 | op1(e12,e12) = e12 | op1(e11,e12) = e12 | op1(e10,e12) = e12) & (op1(e12,e13) = e12 | op1(e12,e12) = e12 | op1(e12,e11) = e12 | op1(e12,e10) = e12) & (op1(e13,e12) = e11 | op1(e12,e12) = e11 | op1(e11,e12) = e11 | op1(e10,e12) = e11) & (op1(e12,e13) = e11 | op1(e12,e12) = e11 | op1(e12,e11) = e11 | op1(e12,e10) = e11) & (e10 = op1(e13,e12) | e10 = op1(e12,e12) | e10 = op1(e11,e12) | e10 = op1(e10,e12)) & (e10 = op1(e12,e13) | e10 = op1(e12,e12) | e10 = op1(e12,e11) | e10 = op1(e12,e10)) & (op1(e13,e11) = e13 | op1(e12,e11) = e13 | op1(e11,e11) = e13 | op1(e10,e11) = e13) & (op1(e11,e13) = e13 | op1(e11,e12) = e13 | op1(e11,e11) = e13 | op1(e11,e10) = e13) & (op1(e13,e11) = e12 | op1(e12,e11) = e12 | op1(e11,e11) = e12 | op1(e10,e11) = e12) & (op1(e11,e13) = e12 | op1(e11,e12) = e12 | op1(e11,e11) = e12 | op1(e11,e10) = e12) & (op1(e13,e11) = e11 | op1(e12,e11) = e11 | op1(e11,e11) = e11 | op1(e10,e11) = e11) & (op1(e11,e13) = e11 | op1(e11,e12) = e11 | op1(e11,e11) = e11 | op1(e11,e10) = e11) & (e10 = op1(e13,e11) | e10 = op1(e12,e11) | e10 = op1(e11,e11) | e10 = op1(e10,e11)) & (e10 = op1(e11,e13) | e10 = op1(e11,e12) | e10 = op1(e11,e11) | e10 = op1(e11,e10)) & (op1(e13,e10) = e13 | op1(e12,e10) = e13 | op1(e11,e10) = e13 | op1(e10,e10) = e13) & (op1(e10,e13) = e13 | op1(e10,e12) = e13 | op1(e10,e11) = e13 | op1(e10,e10) = e13) & (op1(e13,e10) = e12 | op1(e12,e10) = e12 | op1(e11,e10) = e12 | op1(e10,e10) = e12) & (op1(e10,e13) = e12 | op1(e10,e12) = e12 | op1(e10,e11) = e12 | op1(e10,e10) = e12) & (op1(e13,e10) = e11 | op1(e12,e10) = e11 | op1(e11,e10) = e11 | op1(e10,e10) = e11) & (op1(e10,e13) = e11 | op1(e10,e12) = e11 | op1(e10,e11) = e11 | op1(e10,e10) = e11) & (e10 = op1(e13,e10) | e10 = op1(e12,e10) | e10 = op1(e11,e10) | e10 = op1(e10,e10)) & (e10 = op1(e10,e13) | e10 = op1(e10,e12) | e10 = op1(e10,e11) | e10 = op1(e10,e10))),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f91,plain,(+% 218.15/218.29 op1(e13,e11) = e13 | op1(e12,e11) = e13 | op1(e11,e11) = e13 | op1(e10,e11) = e13),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f314,plain,(+% 218.15/218.29 op1(op1(e12,op1(e12,e12)),op1(e12,e12)) = e13),+% 218.15/218.29 inference(cnf_transformation,[],[f12])).+% 218.15/218.29 +% 218.15/218.29 fof(f179,plain,(+% 218.15/218.29 op1(e12,e13) != op1(e13,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f186,plain,(+% 218.15/218.29 op1(e11,e10) != op1(e11,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f201,plain,(+% 218.15/218.29 op1(e13,e11) != op1(e13,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f98,plain,(+% 218.15/218.29 op1(e12,e13) = e13 | op1(e12,e12) = e13 | op1(e12,e11) = e13 | op1(e12,e10) = e13),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f69,plain,(+% 218.15/218.29 op1(e12,e11) = e13 | op1(e12,e11) = e12 | op1(e12,e11) = e11 | e10 = op1(e12,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f192,plain,(+% 218.15/218.29 op1(e12,e10) != op1(e12,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f195,plain,(+% 218.15/218.29 op1(e12,e11) != op1(e12,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f106,plain,(+% 218.15/218.29 op1(e13,e13) = e13 | op1(e13,e12) = e13 | op1(e13,e11) = e13 | op1(e13,e10) = e13),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f160,plain,(+% 218.15/218.29 op1(e11,e10) != op1(e13,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f167,plain,(+% 218.15/218.29 op1(e12,e11) != op1(e13,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f99,plain,(+% 218.15/218.29 op1(e13,e12) = e13 | op1(e12,e12) = e13 | op1(e11,e12) = e13 | op1(e10,e12) = e13),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f156,plain,(+% 218.15/218.29 op1(e10,e10) != op1(e11,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f164,plain,(+% 218.15/218.29 op1(e10,e11) != op1(e13,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f175,plain,(+% 218.15/218.29 op1(e10,e13) != op1(e12,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f187,plain,(+% 218.15/218.29 op1(e11,e10) != op1(e11,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f82,plain,(+% 218.15/218.29 op1(e10,e13) = e13 | op1(e10,e12) = e13 | op1(e10,e11) = e13 | op1(e10,e10) = e13),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f105,plain,(+% 218.15/218.29 op1(e13,e13) = e12 | op1(e12,e13) = e12 | op1(e11,e13) = e12 | op1(e10,e13) = e12),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f21,plain,(+% 218.15/218.29 (op1(e13,op1(e10,e13)) = e13 & op1(e12,op1(e10,e12)) = e12 & op1(e11,op1(e10,e11)) = e11 & e10 = op1(e10,op1(e10,e10))) | ~sP0),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).+% 218.15/218.29 +% 218.15/218.29 fof(f44,plain,(+% 218.15/218.29 (op1(e13,op1(e10,e13)) = e13 & op1(e12,op1(e10,e12)) = e12 & op1(e11,op1(e10,e11)) = e11 & e10 = op1(e10,op1(e10,e10))) | ~sP0),+% 218.15/218.29 inference(nnf_transformation,[],[f21])).+% 218.15/218.29 +% 218.15/218.29 fof(f290,plain,(+% 218.15/218.29 op1(e12,op1(e10,e12)) = e12 | ~sP0),+% 218.15/218.29 inference(cnf_transformation,[],[f44])).+% 218.15/218.29 +% 218.15/218.29 fof(f23,plain,(+% 218.15/218.29 (op1(e13,op1(e12,e13)) = e13 & op1(e12,op1(e12,e12)) = e12 & op1(e11,op1(e12,e11)) = e11 & e10 = op1(e10,op1(e12,e10))) | ~sP2),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])).+% 218.15/218.29 +% 218.15/218.29 fof(f42,plain,(+% 218.15/218.29 (op1(e13,op1(e12,e13)) = e13 & op1(e12,op1(e12,e12)) = e12 & op1(e11,op1(e12,e11)) = e11 & e10 = op1(e10,op1(e12,e10))) | ~sP2),+% 218.15/218.29 inference(nnf_transformation,[],[f23])).+% 218.15/218.29 +% 218.15/218.29 fof(f282,plain,(+% 218.15/218.29 op1(e12,op1(e12,e12)) = e12 | ~sP2),+% 218.15/218.29 inference(cnf_transformation,[],[f42])).+% 218.15/218.29 +% 218.15/218.29 fof(f7,axiom,(+% 218.15/218.29 e12 != e13 & e11 != e13 & e11 != e12 & e10 != e13 & e10 != e12 & e10 != e11),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f255,plain,(+% 218.15/218.29 e11 != e12),+% 218.15/218.29 inference(cnf_transformation,[],[f7])).+% 218.15/218.29 +% 218.15/218.29 fof(f10,axiom,(+% 218.15/218.29 (op1(e13,op1(e13,e13)) = e13 & op1(e12,op1(e13,e12)) = e12 & op1(e11,op1(e13,e11)) = e11 & e10 = op1(e10,op1(e13,e10))) | (op1(e13,op1(e12,e13)) = e13 & op1(e12,op1(e12,e12)) = e12 & op1(e11,op1(e12,e11)) = e11 & e10 = op1(e10,op1(e12,e10))) | (op1(e13,op1(e11,e13)) = e13 & op1(e12,op1(e11,e12)) = e12 & op1(e11,op1(e11,e11)) = e11 & e10 = op1(e10,op1(e11,e10))) | (op1(e13,op1(e10,e13)) = e13 & op1(e12,op1(e10,e12)) = e12 & op1(e11,op1(e10,e11)) = e11 & e10 = op1(e10,op1(e10,e10)))),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f22,plain,(+% 218.15/218.29 (op1(e13,op1(e11,e13)) = e13 & op1(e12,op1(e11,e12)) = e12 & op1(e11,op1(e11,e11)) = e11 & e10 = op1(e10,op1(e11,e10))) | ~sP1),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])).+% 218.15/218.29 +% 218.15/218.29 fof(f24,plain,(+% 218.15/218.29 (op1(e13,op1(e13,e13)) = e13 & op1(e12,op1(e13,e12)) = e12 & op1(e11,op1(e13,e11)) = e11 & e10 = op1(e10,op1(e13,e10))) | sP2 | sP1 | sP0),+% 218.15/218.29 inference(definition_folding,[],[f10,f23,f22,f21])).+% 218.15/218.29 +% 218.15/218.29 fof(f295,plain,(+% 218.15/218.29 op1(e13,op1(e13,e13)) = e13 | sP2 | sP1 | sP0),+% 218.15/218.29 inference(cnf_transformation,[],[f24])).+% 218.15/218.29 +% 218.15/218.29 fof(f292,plain,(+% 218.15/218.29 e10 = op1(e10,op1(e13,e10)) | sP2 | sP1 | sP0),+% 218.15/218.29 inference(cnf_transformation,[],[f24])).+% 218.15/218.29 +% 218.15/218.29 fof(f293,plain,(+% 218.15/218.29 op1(e11,op1(e13,e11)) = e11 | sP2 | sP1 | sP0),+% 218.15/218.29 inference(cnf_transformation,[],[f24])).+% 218.15/218.29 +% 218.15/218.29 fof(f253,plain,(+% 218.15/218.29 e10 != e12),+% 218.15/218.29 inference(cnf_transformation,[],[f7])).+% 218.15/218.29 +% 218.15/218.29 fof(f159,plain,(+% 218.15/218.29 op1(e11,e10) != op1(e12,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f173,plain,(+% 218.15/218.29 op1(e12,e12) != op1(e13,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f100,plain,(+% 218.15/218.29 e10 = op1(e13,e13) | e10 = op1(e13,e12) | e10 = op1(e13,e11) | e10 = op1(e13,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f81,plain,(+% 218.15/218.29 op1(e13,e10) = e12 | op1(e12,e10) = e12 | op1(e11,e10) = e12 | op1(e10,e10) = e12),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f257,plain,(+% 218.15/218.29 e12 != e13),+% 218.15/218.29 inference(cnf_transformation,[],[f7])).+% 218.15/218.29 +% 218.15/218.29 fof(f43,plain,(+% 218.15/218.29 (op1(e13,op1(e11,e13)) = e13 & op1(e12,op1(e11,e12)) = e12 & op1(e11,op1(e11,e11)) = e11 & e10 = op1(e10,op1(e11,e10))) | ~sP1),+% 218.15/218.29 inference(nnf_transformation,[],[f22])).+% 218.15/218.29 +% 218.15/218.29 fof(f287,plain,(+% 218.15/218.29 op1(e13,op1(e11,e13)) = e13 | ~sP1),+% 218.15/218.29 inference(cnf_transformation,[],[f43])).+% 218.15/218.29 +% 218.15/218.29 fof(f285,plain,(+% 218.15/218.29 op1(e11,op1(e11,e11)) = e11 | ~sP1),+% 218.15/218.29 inference(cnf_transformation,[],[f43])).+% 218.15/218.29 +% 218.15/218.29 fof(f254,plain,(+% 218.15/218.29 e10 != e13),+% 218.15/218.29 inference(cnf_transformation,[],[f7])).+% 218.15/218.29 +% 218.15/218.29 fof(f171,plain,(+% 218.15/218.29 op1(e11,e12) != op1(e12,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f84,plain,(+% 218.15/218.29 e10 = op1(e11,e13) | e10 = op1(e11,e12) | e10 = op1(e11,e11) | e10 = op1(e11,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f177,plain,(+% 218.15/218.29 op1(e11,e13) != op1(e12,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f291,plain,(+% 218.15/218.29 op1(e13,op1(e10,e13)) = e13 | ~sP0),+% 218.15/218.29 inference(cnf_transformation,[],[f44])).+% 218.15/218.29 +% 218.15/218.29 fof(f176,plain,(+% 218.15/218.29 op1(e10,e13) != op1(e13,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f63,plain,(+% 218.15/218.29 op1(e10,e13) = e13 | op1(e10,e13) = e12 | op1(e10,e13) = e11 | e10 = op1(e10,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f107,plain,(+% 218.15/218.29 op1(e13,e13) = e13 | op1(e12,e13) = e13 | op1(e11,e13) = e13 | op1(e10,e13) = e13),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f170,plain,(+% 218.15/218.29 op1(e10,e12) != op1(e13,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f203,plain,(+% 218.15/218.29 op1(e13,e12) != op1(e13,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f188,plain,(+% 218.15/218.29 op1(e11,e10) != op1(e11,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f18,conjecture,(+% 218.15/218.29 ((e23 = h4(e13) | e23 = h4(e12) | e23 = h4(e11) | e23 = h4(e10)) & (e22 = h4(e13) | e22 = h4(e12) | e22 = h4(e11) | e22 = h4(e10)) & (e21 = h4(e13) | e21 = h4(e12) | e21 = h4(e11) | e21 = h4(e10)) & (e20 = h4(e13) | e20 = h4(e12) | e20 = h4(e11) | e20 = h4(e10)) & op2(h4(e13),h4(e13)) = h4(op1(e13,e13)) & op2(h4(e13),h4(e12)) = h4(op1(e13,e12)) & op2(h4(e13),h4(e11)) = h4(op1(e13,e11)) & op2(h4(e13),h4(e10)) = h4(op1(e13,e10)) & op2(h4(e12),h4(e13)) = h4(op1(e12,e13)) & op2(h4(e12),h4(e12)) = h4(op1(e12,e12)) & op2(h4(e12),h4(e11)) = h4(op1(e12,e11)) & op2(h4(e12),h4(e10)) = h4(op1(e12,e10)) & op2(h4(e11),h4(e13)) = h4(op1(e11,e13)) & op2(h4(e11),h4(e12)) = h4(op1(e11,e12)) & op2(h4(e11),h4(e11)) = h4(op1(e11,e11)) & op2(h4(e11),h4(e10)) = h4(op1(e11,e10)) & op2(h4(e10),h4(e13)) = h4(op1(e10,e13)) & op2(h4(e10),h4(e12)) = h4(op1(e10,e12)) & op2(h4(e10),h4(e11)) = h4(op1(e10,e11)) & op2(h4(e10),h4(e10)) = h4(op1(e10,e10))) | ((e23 = h3(e13) | e23 = h3(e12) | e23 = h3(e11) | e23 = h3(e10)) & (e22 = h3(e13) | e22 = h3(e12) | e22 = h3(e11) | e22 = h3(e10)) & (e21 = h3(e13) | e21 = h3(e12) | e21 = h3(e11) | e21 = h3(e10)) & (e20 = h3(e13) | e20 = h3(e12) | e20 = h3(e11) | e20 = h3(e10)) & op2(h3(e13),h3(e13)) = h3(op1(e13,e13)) & op2(h3(e13),h3(e12)) = h3(op1(e13,e12)) & op2(h3(e13),h3(e11)) = h3(op1(e13,e11)) & op2(h3(e13),h3(e10)) = h3(op1(e13,e10)) & op2(h3(e12),h3(e13)) = h3(op1(e12,e13)) & op2(h3(e12),h3(e12)) = h3(op1(e12,e12)) & op2(h3(e12),h3(e11)) = h3(op1(e12,e11)) & op2(h3(e12),h3(e10)) = h3(op1(e12,e10)) & op2(h3(e11),h3(e13)) = h3(op1(e11,e13)) & op2(h3(e11),h3(e12)) = h3(op1(e11,e12)) & op2(h3(e11),h3(e11)) = h3(op1(e11,e11)) & op2(h3(e11),h3(e10)) = h3(op1(e11,e10)) & op2(h3(e10),h3(e13)) = h3(op1(e10,e13)) & op2(h3(e10),h3(e12)) = h3(op1(e10,e12)) & op2(h3(e10),h3(e11)) = h3(op1(e10,e11)) & op2(h3(e10),h3(e10)) = h3(op1(e10,e10))) | ((e23 = h2(e13) | e23 = h2(e12) | e23 = h2(e11) | e23 = h2(e10)) & (e22 = h2(e13) | e22 = h2(e12) | e22 = h2(e11) | e22 = h2(e10)) & (e21 = h2(e13) | e21 = h2(e12) | e21 = h2(e11) | e21 = h2(e10)) & (e20 = h2(e13) | e20 = h2(e12) | e20 = h2(e11) | e20 = h2(e10)) & op2(h2(e13),h2(e13)) = h2(op1(e13,e13)) & op2(h2(e13),h2(e12)) = h2(op1(e13,e12)) & op2(h2(e13),h2(e11)) = h2(op1(e13,e11)) & op2(h2(e13),h2(e10)) = h2(op1(e13,e10)) & op2(h2(e12),h2(e13)) = h2(op1(e12,e13)) & op2(h2(e12),h2(e12)) = h2(op1(e12,e12)) & op2(h2(e12),h2(e11)) = h2(op1(e12,e11)) & op2(h2(e12),h2(e10)) = h2(op1(e12,e10)) & op2(h2(e11),h2(e13)) = h2(op1(e11,e13)) & op2(h2(e11),h2(e12)) = h2(op1(e11,e12)) & op2(h2(e11),h2(e11)) = h2(op1(e11,e11)) & op2(h2(e11),h2(e10)) = h2(op1(e11,e10)) & op2(h2(e10),h2(e13)) = h2(op1(e10,e13)) & op2(h2(e10),h2(e12)) = h2(op1(e10,e12)) & op2(h2(e10),h2(e11)) = h2(op1(e10,e11)) & op2(h2(e10),h2(e10)) = h2(op1(e10,e10))) | ((e23 = h1(e13) | e23 = h1(e12) | e23 = h1(e11) | e23 = h1(e10)) & (e22 = h1(e13) | e22 = h1(e12) | e22 = h1(e11) | e22 = h1(e10)) & (e21 = h1(e13) | e21 = h1(e12) | e21 = h1(e11) | e21 = h1(e10)) & (e20 = h1(e13) | e20 = h1(e12) | e20 = h1(e11) | e20 = h1(e10)) & op2(h1(e13),h1(e13)) = h1(op1(e13,e13)) & op2(h1(e13),h1(e12)) = h1(op1(e13,e12)) & op2(h1(e13),h1(e11)) = h1(op1(e13,e11)) & op2(h1(e13),h1(e10)) = h1(op1(e13,e10)) & op2(h1(e12),h1(e13)) = h1(op1(e12,e13)) & op2(h1(e12),h1(e12)) = h1(op1(e12,e12)) & op2(h1(e12),h1(e11)) = h1(op1(e12,e11)) & op2(h1(e12),h1(e10)) = h1(op1(e12,e10)) & op2(h1(e11),h1(e13)) = h1(op1(e11,e13)) & op2(h1(e11),h1(e12)) = h1(op1(e11,e12)) & op2(h1(e11),h1(e11)) = h1(op1(e11,e11)) & op2(h1(e11),h1(e10)) = h1(op1(e11,e10)) & op2(h1(e10),h1(e13)) = h1(op1(e10,e13)) & op2(h1(e10),h1(e12)) = h1(op1(e10,e12)) & op2(h1(e10),h1(e11)) = h1(op1(e10,e11)) & op2(h1(e10),h1(e10)) = h1(op1(e10,e10)))),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f19,negated_conjecture,(+% 218.15/218.29 ~(((e23 = h4(e13) | e23 = h4(e12) | e23 = h4(e11) | e23 = h4(e10)) & (e22 = h4(e13) | e22 = h4(e12) | e22 = h4(e11) | e22 = h4(e10)) & (e21 = h4(e13) | e21 = h4(e12) | e21 = h4(e11) | e21 = h4(e10)) & (e20 = h4(e13) | e20 = h4(e12) | e20 = h4(e11) | e20 = h4(e10)) & op2(h4(e13),h4(e13)) = h4(op1(e13,e13)) & op2(h4(e13),h4(e12)) = h4(op1(e13,e12)) & op2(h4(e13),h4(e11)) = h4(op1(e13,e11)) & op2(h4(e13),h4(e10)) = h4(op1(e13,e10)) & op2(h4(e12),h4(e13)) = h4(op1(e12,e13)) & op2(h4(e12),h4(e12)) = h4(op1(e12,e12)) & op2(h4(e12),h4(e11)) = h4(op1(e12,e11)) & op2(h4(e12),h4(e10)) = h4(op1(e12,e10)) & op2(h4(e11),h4(e13)) = h4(op1(e11,e13)) & op2(h4(e11),h4(e12)) = h4(op1(e11,e12)) & op2(h4(e11),h4(e11)) = h4(op1(e11,e11)) & op2(h4(e11),h4(e10)) = h4(op1(e11,e10)) & op2(h4(e10),h4(e13)) = h4(op1(e10,e13)) & op2(h4(e10),h4(e12)) = h4(op1(e10,e12)) & op2(h4(e10),h4(e11)) = h4(op1(e10,e11)) & op2(h4(e10),h4(e10)) = h4(op1(e10,e10))) | ((e23 = h3(e13) | e23 = h3(e12) | e23 = h3(e11) | e23 = h3(e10)) & (e22 = h3(e13) | e22 = h3(e12) | e22 = h3(e11) | e22 = h3(e10)) & (e21 = h3(e13) | e21 = h3(e12) | e21 = h3(e11) | e21 = h3(e10)) & (e20 = h3(e13) | e20 = h3(e12) | e20 = h3(e11) | e20 = h3(e10)) & op2(h3(e13),h3(e13)) = h3(op1(e13,e13)) & op2(h3(e13),h3(e12)) = h3(op1(e13,e12)) & op2(h3(e13),h3(e11)) = h3(op1(e13,e11)) & op2(h3(e13),h3(e10)) = h3(op1(e13,e10)) & op2(h3(e12),h3(e13)) = h3(op1(e12,e13)) & op2(h3(e12),h3(e12)) = h3(op1(e12,e12)) & op2(h3(e12),h3(e11)) = h3(op1(e12,e11)) & op2(h3(e12),h3(e10)) = h3(op1(e12,e10)) & op2(h3(e11),h3(e13)) = h3(op1(e11,e13)) & op2(h3(e11),h3(e12)) = h3(op1(e11,e12)) & op2(h3(e11),h3(e11)) = h3(op1(e11,e11)) & op2(h3(e11),h3(e10)) = h3(op1(e11,e10)) & op2(h3(e10),h3(e13)) = h3(op1(e10,e13)) & op2(h3(e10),h3(e12)) = h3(op1(e10,e12)) & op2(h3(e10),h3(e11)) = h3(op1(e10,e11)) & op2(h3(e10),h3(e10)) = h3(op1(e10,e10))) | ((e23 = h2(e13) | e23 = h2(e12) | e23 = h2(e11) | e23 = h2(e10)) & (e22 = h2(e13) | e22 = h2(e12) | e22 = h2(e11) | e22 = h2(e10)) & (e21 = h2(e13) | e21 = h2(e12) | e21 = h2(e11) | e21 = h2(e10)) & (e20 = h2(e13) | e20 = h2(e12) | e20 = h2(e11) | e20 = h2(e10)) & op2(h2(e13),h2(e13)) = h2(op1(e13,e13)) & op2(h2(e13),h2(e12)) = h2(op1(e13,e12)) & op2(h2(e13),h2(e11)) = h2(op1(e13,e11)) & op2(h2(e13),h2(e10)) = h2(op1(e13,e10)) & op2(h2(e12),h2(e13)) = h2(op1(e12,e13)) & op2(h2(e12),h2(e12)) = h2(op1(e12,e12)) & op2(h2(e12),h2(e11)) = h2(op1(e12,e11)) & op2(h2(e12),h2(e10)) = h2(op1(e12,e10)) & op2(h2(e11),h2(e13)) = h2(op1(e11,e13)) & op2(h2(e11),h2(e12)) = h2(op1(e11,e12)) & op2(h2(e11),h2(e11)) = h2(op1(e11,e11)) & op2(h2(e11),h2(e10)) = h2(op1(e11,e10)) & op2(h2(e10),h2(e13)) = h2(op1(e10,e13)) & op2(h2(e10),h2(e12)) = h2(op1(e10,e12)) & op2(h2(e10),h2(e11)) = h2(op1(e10,e11)) & op2(h2(e10),h2(e10)) = h2(op1(e10,e10))) | ((e23 = h1(e13) | e23 = h1(e12) | e23 = h1(e11) | e23 = h1(e10)) & (e22 = h1(e13) | e22 = h1(e12) | e22 = h1(e11) | e22 = h1(e10)) & (e21 = h1(e13) | e21 = h1(e12) | e21 = h1(e11) | e21 = h1(e10)) & (e20 = h1(e13) | e20 = h1(e12) | e20 = h1(e11) | e20 = h1(e10)) & op2(h1(e13),h1(e13)) = h1(op1(e13,e13)) & op2(h1(e13),h1(e12)) = h1(op1(e13,e12)) & op2(h1(e13),h1(e11)) = h1(op1(e13,e11)) & op2(h1(e13),h1(e10)) = h1(op1(e13,e10)) & op2(h1(e12),h1(e13)) = h1(op1(e12,e13)) & op2(h1(e12),h1(e12)) = h1(op1(e12,e12)) & op2(h1(e12),h1(e11)) = h1(op1(e12,e11)) & op2(h1(e12),h1(e10)) = h1(op1(e12,e10)) & op2(h1(e11),h1(e13)) = h1(op1(e11,e13)) & op2(h1(e11),h1(e12)) = h1(op1(e11,e12)) & op2(h1(e11),h1(e11)) = h1(op1(e11,e11)) & op2(h1(e11),h1(e10)) = h1(op1(e11,e10)) & op2(h1(e10),h1(e13)) = h1(op1(e10,e13)) & op2(h1(e10),h1(e12)) = h1(op1(e10,e12)) & op2(h1(e10),h1(e11)) = h1(op1(e10,e11)) & op2(h1(e10),h1(e10)) = h1(op1(e10,e10))))),+% 218.15/218.29 inference(negated_conjecture,[],[f18])).+% 218.15/218.29 +% 218.15/218.29 fof(f20,plain,(+% 218.15/218.29 ((e23 != h4(e13) & e23 != h4(e12) & e23 != h4(e11) & e23 != h4(e10)) | (e22 != h4(e13) & e22 != h4(e12) & e22 != h4(e11) & e22 != h4(e10)) | (e21 != h4(e13) & e21 != h4(e12) & e21 != h4(e11) & e21 != h4(e10)) | (e20 != h4(e13) & e20 != h4(e12) & e20 != h4(e11) & e20 != h4(e10)) | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) | op2(h4(e13),h4(e12)) != h4(op1(e13,e12)) | op2(h4(e13),h4(e11)) != h4(op1(e13,e11)) | op2(h4(e13),h4(e10)) != h4(op1(e13,e10)) | op2(h4(e12),h4(e13)) != h4(op1(e12,e13)) | op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) | op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) | op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) | op2(h4(e11),h4(e13)) != h4(op1(e11,e13)) | op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) | op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) | op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) | op2(h4(e10),h4(e13)) != h4(op1(e10,e13)) | op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) | op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) | op2(h4(e10),h4(e10)) != h4(op1(e10,e10))) & ((e23 != h3(e13) & e23 != h3(e12) & e23 != h3(e11) & e23 != h3(e10)) | (e22 != h3(e13) & e22 != h3(e12) & e22 != h3(e11) & e22 != h3(e10)) | (e21 != h3(e13) & e21 != h3(e12) & e21 != h3(e11) & e21 != h3(e10)) | (e20 != h3(e13) & e20 != h3(e12) & e20 != h3(e11) & e20 != h3(e10)) | op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) | op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) | op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) | op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) | op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) | op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) | op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) | op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) | op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) | op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) | op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) | op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) | op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) | op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))) & ((e23 != h2(e13) & e23 != h2(e12) & e23 != h2(e11) & e23 != h2(e10)) | (e22 != h2(e13) & e22 != h2(e12) & e22 != h2(e11) & e22 != h2(e10)) | (e21 != h2(e13) & e21 != h2(e12) & e21 != h2(e11) & e21 != h2(e10)) | (e20 != h2(e13) & e20 != h2(e12) & e20 != h2(e11) & e20 != h2(e10)) | op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) | op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) | op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) | op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) | op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) | op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) | op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) | op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) | op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) | op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) | op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) | op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) | op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) | op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) | op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) | op2(h2(e10),h2(e10)) != h2(op1(e10,e10))) & ((e23 != h1(e13) & e23 != h1(e12) & e23 != h1(e11) & e23 != h1(e10)) | (e22 != h1(e13) & e22 != h1(e12) & e22 != h1(e11) & e22 != h1(e10)) | (e21 != h1(e13) & e21 != h1(e12) & e21 != h1(e11) & e21 != h1(e10)) | (e20 != h1(e13) & e20 != h1(e12) & e20 != h1(e11) & e20 != h1(e10)) | op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) | op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) | op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) | op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) | op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) | op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) | op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) | op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) | op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) | op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) | op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) | op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) | op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) | op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) | op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) | op2(h1(e10),h1(e10)) != h1(op1(e10,e10)))),+% 218.15/218.29 inference(ennf_transformation,[],[f19])).+% 218.15/218.29 +% 218.15/218.29 fof(f40,plain,(+% 218.15/218.29 (e22 != h4(e13) & e22 != h4(e12) & e22 != h4(e11) & e22 != h4(e10)) | ~sP17),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])])).+% 218.15/218.29 +% 218.15/218.29 fof(f39,plain,(+% 218.15/218.29 (e21 != h4(e13) & e21 != h4(e12) & e21 != h4(e11) & e21 != h4(e10)) | ~sP16),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])])).+% 218.15/218.29 +% 218.15/218.29 fof(f38,plain,(+% 218.15/218.29 (e20 != h4(e13) & e20 != h4(e12) & e20 != h4(e11) & e20 != h4(e10)) | ~sP15),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])])).+% 218.15/218.29 +% 218.15/218.29 fof(f37,plain,(+% 218.15/218.29 (e22 != h3(e13) & e22 != h3(e12) & e22 != h3(e11) & e22 != h3(e10)) | ~sP14),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])])).+% 218.15/218.29 +% 218.15/218.29 fof(f36,plain,(+% 218.15/218.29 (e21 != h3(e13) & e21 != h3(e12) & e21 != h3(e11) & e21 != h3(e10)) | ~sP13),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])])).+% 218.15/218.29 +% 218.15/218.29 fof(f35,plain,(+% 218.15/218.29 (e20 != h3(e13) & e20 != h3(e12) & e20 != h3(e11) & e20 != h3(e10)) | ~sP12),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])])).+% 218.15/218.29 +% 218.15/218.29 fof(f34,plain,(+% 218.15/218.29 (e22 != h2(e13) & e22 != h2(e12) & e22 != h2(e11) & e22 != h2(e10)) | ~sP11),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])])).+% 218.15/218.29 +% 218.15/218.29 fof(f33,plain,(+% 218.15/218.29 (e21 != h2(e13) & e21 != h2(e12) & e21 != h2(e11) & e21 != h2(e10)) | ~sP10),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])])).+% 218.15/218.29 +% 218.15/218.29 fof(f32,plain,(+% 218.15/218.29 (e20 != h2(e13) & e20 != h2(e12) & e20 != h2(e11) & e20 != h2(e10)) | ~sP9),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])])).+% 218.15/218.29 +% 218.15/218.29 fof(f31,plain,(+% 218.15/218.29 (e22 != h1(e13) & e22 != h1(e12) & e22 != h1(e11) & e22 != h1(e10)) | ~sP8),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])])).+% 218.15/218.29 +% 218.15/218.29 fof(f30,plain,(+% 218.15/218.29 (e21 != h1(e13) & e21 != h1(e12) & e21 != h1(e11) & e21 != h1(e10)) | ~sP7),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])])).+% 218.15/218.29 +% 218.15/218.29 fof(f29,plain,(+% 218.15/218.29 (e20 != h1(e13) & e20 != h1(e12) & e20 != h1(e11) & e20 != h1(e10)) | ~sP6),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])).+% 218.15/218.29 +% 218.15/218.29 fof(f41,plain,(+% 218.15/218.29 ((e23 != h4(e13) & e23 != h4(e12) & e23 != h4(e11) & e23 != h4(e10)) | sP17 | sP16 | sP15 | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) | op2(h4(e13),h4(e12)) != h4(op1(e13,e12)) | op2(h4(e13),h4(e11)) != h4(op1(e13,e11)) | op2(h4(e13),h4(e10)) != h4(op1(e13,e10)) | op2(h4(e12),h4(e13)) != h4(op1(e12,e13)) | op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) | op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) | op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) | op2(h4(e11),h4(e13)) != h4(op1(e11,e13)) | op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) | op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) | op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) | op2(h4(e10),h4(e13)) != h4(op1(e10,e13)) | op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) | op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) | op2(h4(e10),h4(e10)) != h4(op1(e10,e10))) & ((e23 != h3(e13) & e23 != h3(e12) & e23 != h3(e11) & e23 != h3(e10)) | sP14 | sP13 | sP12 | op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) | op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) | op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) | op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) | op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) | op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) | op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) | op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) | op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) | op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) | op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) | op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) | op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) | op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))) & ((e23 != h2(e13) & e23 != h2(e12) & e23 != h2(e11) & e23 != h2(e10)) | sP11 | sP10 | sP9 | op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) | op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) | op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) | op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) | op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) | op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) | op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) | op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) | op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) | op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) | op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) | op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) | op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) | op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) | op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) | op2(h2(e10),h2(e10)) != h2(op1(e10,e10))) & ((e23 != h1(e13) & e23 != h1(e12) & e23 != h1(e11) & e23 != h1(e10)) | sP8 | sP7 | sP6 | op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) | op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) | op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) | op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) | op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) | op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) | op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) | op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) | op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) | op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) | op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) | op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) | op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) | op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) | op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) | op2(h1(e10),h1(e10)) != h1(op1(e10,e10)))),+% 218.15/218.29 inference(definition_folding,[],[f20,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29])).+% 218.15/218.29 +% 218.15/218.29 fof(f393,plain,(+% 218.15/218.29 e23 != h3(e13) | sP14 | sP13 | sP12 | op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) | op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) | op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) | op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) | op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) | op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) | op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) | op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) | op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) | op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) | op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) | op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) | op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) | op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))),+% 218.15/218.29 inference(cnf_transformation,[],[f41])).+% 218.15/218.29 +% 218.15/218.29 fof(f51,plain,(+% 218.15/218.29 (e22 != h3(e13) & e22 != h3(e12) & e22 != h3(e11) & e22 != h3(e10)) | ~sP14),+% 218.15/218.29 inference(nnf_transformation,[],[f37])).+% 218.15/218.29 +% 218.15/218.29 fof(f348,plain,(+% 218.15/218.29 e22 != h3(e12) | ~sP14),+% 218.15/218.29 inference(cnf_transformation,[],[f51])).+% 218.15/218.29 +% 218.15/218.29 fof(f326,plain,(+% 218.15/218.29 e22 = h3(e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f16])).+% 218.15/218.29 +% 218.15/218.29 fof(f327,plain,(+% 218.15/218.29 op2(e22,e22) = h3(e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f16])).+% 218.15/218.29 +% 218.15/218.29 fof(f14,axiom,(+% 218.15/218.29 op2(op2(e20,op2(e20,e20)),op2(e20,e20)) = h1(e13) & op2(e20,op2(e20,e20)) = h1(e11) & op2(e20,e20) = h1(e10) & e20 = h1(e12)),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f319,plain,(+% 218.15/218.29 op2(e20,e20) = h1(e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f14])).+% 218.15/218.29 +% 218.15/218.29 fof(f315,plain,(+% 218.15/218.29 e20 = op2(e22,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f13])).+% 218.15/218.29 +% 218.15/218.29 fof(f288,plain,(+% 218.15/218.29 e10 = op1(e10,op1(e10,e10)) | ~sP0),+% 218.15/218.29 inference(cnf_transformation,[],[f44])).+% 218.15/218.29 +% 218.15/218.29 fof(f60,plain,(+% 218.15/218.29 op1(e10,e10) = e13 | op1(e10,e10) = e12 | op1(e10,e10) = e11 | e10 = op1(e10,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f157,plain,(+% 218.15/218.29 op1(e10,e10) != op1(e12,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f3,axiom,(+% 218.15/218.29 (op2(e23,e23) = e23 | op2(e23,e23) = e22 | op2(e23,e23) = e21 | e20 = op2(e23,e23)) & (op2(e23,e22) = e23 | op2(e23,e22) = e22 | op2(e23,e22) = e21 | e20 = op2(e23,e22)) & (op2(e23,e21) = e23 | op2(e23,e21) = e22 | op2(e23,e21) = e21 | e20 = op2(e23,e21)) & (op2(e23,e20) = e23 | op2(e23,e20) = e22 | op2(e23,e20) = e21 | e20 = op2(e23,e20)) & (op2(e22,e23) = e23 | op2(e22,e23) = e22 | op2(e22,e23) = e21 | e20 = op2(e22,e23)) & (op2(e22,e22) = e23 | op2(e22,e22) = e22 | op2(e22,e22) = e21 | e20 = op2(e22,e22)) & (op2(e22,e21) = e23 | op2(e22,e21) = e22 | op2(e22,e21) = e21 | e20 = op2(e22,e21)) & (op2(e22,e20) = e23 | op2(e22,e20) = e22 | op2(e22,e20) = e21 | e20 = op2(e22,e20)) & (op2(e21,e23) = e23 | op2(e21,e23) = e22 | op2(e21,e23) = e21 | e20 = op2(e21,e23)) & (op2(e21,e22) = e23 | op2(e21,e22) = e22 | op2(e21,e22) = e21 | e20 = op2(e21,e22)) & (op2(e21,e21) = e23 | op2(e21,e21) = e22 | op2(e21,e21) = e21 | e20 = op2(e21,e21)) & (op2(e21,e20) = e23 | op2(e21,e20) = e22 | op2(e21,e20) = e21 | e20 = op2(e21,e20)) & (op2(e20,e23) = e23 | op2(e20,e23) = e22 | op2(e20,e23) = e21 | e20 = op2(e20,e23)) & (op2(e20,e22) = e23 | op2(e20,e22) = e22 | op2(e20,e22) = e21 | e20 = op2(e20,e22)) & (op2(e20,e21) = e23 | op2(e20,e21) = e22 | op2(e20,e21) = e21 | e20 = op2(e20,e21)) & (op2(e20,e20) = e23 | op2(e20,e20) = e22 | op2(e20,e20) = e21 | e20 = op2(e20,e20))),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f108,plain,(+% 218.15/218.29 op2(e20,e20) = e23 | op2(e20,e20) = e22 | op2(e20,e20) = e21 | e20 = op2(e20,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f316,plain,(+% 218.15/218.29 op2(e22,op2(e22,e22)) = e21),+% 218.15/218.29 inference(cnf_transformation,[],[f13])).+% 218.15/218.29 +% 218.15/218.29 fof(f8,axiom,(+% 218.15/218.29 e22 != e23 & e21 != e23 & e21 != e22 & e20 != e23 & e20 != e22 & e20 != e21),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f258,plain,(+% 218.15/218.29 e20 != e21),+% 218.15/218.29 inference(cnf_transformation,[],[f8])).+% 218.15/218.29 +% 218.15/218.29 fof(f6,axiom,(+% 218.15/218.29 op2(e23,e22) != op2(e23,e23) & op2(e23,e21) != op2(e23,e23) & op2(e23,e21) != op2(e23,e22) & op2(e23,e20) != op2(e23,e23) & op2(e23,e20) != op2(e23,e22) & op2(e23,e20) != op2(e23,e21) & op2(e22,e22) != op2(e22,e23) & op2(e22,e21) != op2(e22,e23) & op2(e22,e21) != op2(e22,e22) & op2(e22,e20) != op2(e22,e23) & op2(e22,e20) != op2(e22,e22) & op2(e22,e20) != op2(e22,e21) & op2(e21,e22) != op2(e21,e23) & op2(e21,e21) != op2(e21,e23) & op2(e21,e21) != op2(e21,e22) & op2(e21,e20) != op2(e21,e23) & op2(e21,e20) != op2(e21,e22) & op2(e21,e20) != op2(e21,e21) & op2(e20,e22) != op2(e20,e23) & op2(e20,e21) != op2(e20,e23) & op2(e20,e21) != op2(e20,e22) & op2(e20,e20) != op2(e20,e23) & op2(e20,e20) != op2(e20,e22) & op2(e20,e20) != op2(e20,e21) & op2(e22,e23) != op2(e23,e23) & op2(e21,e23) != op2(e23,e23) & op2(e21,e23) != op2(e22,e23) & op2(e20,e23) != op2(e23,e23) & op2(e20,e23) != op2(e22,e23) & op2(e20,e23) != op2(e21,e23) & op2(e22,e22) != op2(e23,e22) & op2(e21,e22) != op2(e23,e22) & op2(e21,e22) != op2(e22,e22) & op2(e20,e22) != op2(e23,e22) & op2(e20,e22) != op2(e22,e22) & op2(e20,e22) != op2(e21,e22) & op2(e22,e21) != op2(e23,e21) & op2(e21,e21) != op2(e23,e21) & op2(e21,e21) != op2(e22,e21) & op2(e20,e21) != op2(e23,e21) & op2(e20,e21) != op2(e22,e21) & op2(e20,e21) != op2(e21,e21) & op2(e22,e20) != op2(e23,e20) & op2(e21,e20) != op2(e23,e20) & op2(e21,e20) != op2(e22,e20) & op2(e20,e20) != op2(e23,e20) & op2(e20,e20) != op2(e22,e20) & op2(e20,e20) != op2(e21,e20)),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f204,plain,(+% 218.15/218.29 op2(e20,e20) != op2(e21,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f205,plain,(+% 218.15/218.29 op2(e20,e20) != op2(e22,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f240,plain,(+% 218.15/218.29 op2(e22,e20) != op2(e22,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f242,plain,(+% 218.15/218.29 op2(e22,e20) != op2(e22,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f4,axiom,(+% 218.15/218.29 (op2(e23,e23) = e23 | op2(e22,e23) = e23 | op2(e21,e23) = e23 | op2(e20,e23) = e23) & (op2(e23,e23) = e23 | op2(e23,e22) = e23 | op2(e23,e21) = e23 | op2(e23,e20) = e23) & (op2(e23,e23) = e22 | op2(e22,e23) = e22 | op2(e21,e23) = e22 | op2(e20,e23) = e22) & (op2(e23,e23) = e22 | op2(e23,e22) = e22 | op2(e23,e21) = e22 | op2(e23,e20) = e22) & (op2(e23,e23) = e21 | op2(e22,e23) = e21 | op2(e21,e23) = e21 | op2(e20,e23) = e21) & (op2(e23,e23) = e21 | op2(e23,e22) = e21 | op2(e23,e21) = e21 | op2(e23,e20) = e21) & (e20 = op2(e23,e23) | e20 = op2(e22,e23) | e20 = op2(e21,e23) | e20 = op2(e20,e23)) & (e20 = op2(e23,e23) | e20 = op2(e23,e22) | e20 = op2(e23,e21) | e20 = op2(e23,e20)) & (op2(e23,e22) = e23 | op2(e22,e22) = e23 | op2(e21,e22) = e23 | op2(e20,e22) = e23) & (op2(e22,e23) = e23 | op2(e22,e22) = e23 | op2(e22,e21) = e23 | op2(e22,e20) = e23) & (op2(e23,e22) = e22 | op2(e22,e22) = e22 | op2(e21,e22) = e22 | op2(e20,e22) = e22) & (op2(e22,e23) = e22 | op2(e22,e22) = e22 | op2(e22,e21) = e22 | op2(e22,e20) = e22) & (op2(e23,e22) = e21 | op2(e22,e22) = e21 | op2(e21,e22) = e21 | op2(e20,e22) = e21) & (op2(e22,e23) = e21 | op2(e22,e22) = e21 | op2(e22,e21) = e21 | op2(e22,e20) = e21) & (e20 = op2(e23,e22) | e20 = op2(e22,e22) | e20 = op2(e21,e22) | e20 = op2(e20,e22)) & (e20 = op2(e22,e23) | e20 = op2(e22,e22) | e20 = op2(e22,e21) | e20 = op2(e22,e20)) & (op2(e23,e21) = e23 | op2(e22,e21) = e23 | op2(e21,e21) = e23 | op2(e20,e21) = e23) & (op2(e21,e23) = e23 | op2(e21,e22) = e23 | op2(e21,e21) = e23 | op2(e21,e20) = e23) & (op2(e23,e21) = e22 | op2(e22,e21) = e22 | op2(e21,e21) = e22 | op2(e20,e21) = e22) & (op2(e21,e23) = e22 | op2(e21,e22) = e22 | op2(e21,e21) = e22 | op2(e21,e20) = e22) & (op2(e23,e21) = e21 | op2(e22,e21) = e21 | op2(e21,e21) = e21 | op2(e20,e21) = e21) & (op2(e21,e23) = e21 | op2(e21,e22) = e21 | op2(e21,e21) = e21 | op2(e21,e20) = e21) & (e20 = op2(e23,e21) | e20 = op2(e22,e21) | e20 = op2(e21,e21) | e20 = op2(e20,e21)) & (e20 = op2(e21,e23) | e20 = op2(e21,e22) | e20 = op2(e21,e21) | e20 = op2(e21,e20)) & (op2(e23,e20) = e23 | op2(e22,e20) = e23 | op2(e21,e20) = e23 | op2(e20,e20) = e23) & (op2(e20,e23) = e23 | op2(e20,e22) = e23 | op2(e20,e21) = e23 | op2(e20,e20) = e23) & (op2(e23,e20) = e22 | op2(e22,e20) = e22 | op2(e21,e20) = e22 | op2(e20,e20) = e22) & (op2(e20,e23) = e22 | op2(e20,e22) = e22 | op2(e20,e21) = e22 | op2(e20,e20) = e22) & (op2(e23,e20) = e21 | op2(e22,e20) = e21 | op2(e21,e20) = e21 | op2(e20,e20) = e21) & (op2(e20,e23) = e21 | op2(e20,e22) = e21 | op2(e20,e21) = e21 | op2(e20,e20) = e21) & (e20 = op2(e23,e20) | e20 = op2(e22,e20) | e20 = op2(e21,e20) | e20 = op2(e20,e20)) & (e20 = op2(e20,e23) | e20 = op2(e20,e22) | e20 = op2(e20,e21) | e20 = op2(e20,e20))),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f142,plain,(+% 218.15/218.29 op2(e22,e23) = e21 | op2(e22,e22) = e21 | op2(e22,e21) = e21 | op2(e22,e20) = e21),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f169,plain,(+% 218.15/218.29 op1(e10,e12) != op1(e12,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f75,plain,(+% 218.15/218.29 op1(e13,e13) = e13 | op1(e13,e13) = e12 | op1(e13,e13) = e11 | e10 = op1(e13,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f181,plain,(+% 218.15/218.29 op1(e10,e10) != op1(e10,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f185,plain,(+% 218.15/218.29 op1(e10,e12) != op1(e10,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f62,plain,(+% 218.15/218.29 op1(e10,e12) = e13 | op1(e10,e12) = e12 | op1(e10,e12) = e11 | e10 = op1(e10,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f252,plain,(+% 218.15/218.29 e10 != e11),+% 218.15/218.29 inference(cnf_transformation,[],[f7])).+% 218.15/218.29 +% 218.15/218.29 fof(f256,plain,(+% 218.15/218.29 e11 != e13),+% 218.15/218.29 inference(cnf_transformation,[],[f7])).+% 218.15/218.29 +% 218.15/218.29 fof(f189,plain,(+% 218.15/218.29 op1(e11,e11) != op1(e11,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f190,plain,(+% 218.15/218.29 op1(e11,e11) != op1(e11,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f193,plain,(+% 218.15/218.29 op1(e12,e10) != op1(e12,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f200,plain,(+% 218.15/218.29 op1(e13,e10) != op1(e13,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f77,plain,(+% 218.15/218.29 e10 = op1(e13,e10) | e10 = op1(e12,e10) | e10 = op1(e11,e10) | e10 = op1(e10,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f95,plain,(+% 218.15/218.29 op1(e13,e12) = e11 | op1(e12,e12) = e11 | op1(e11,e12) = e11 | op1(e10,e12) = e11),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f97,plain,(+% 218.15/218.29 op1(e13,e12) = e12 | op1(e12,e12) = e12 | op1(e11,e12) = e12 | op1(e10,e12) = e12),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f101,plain,(+% 218.15/218.29 e10 = op1(e13,e13) | e10 = op1(e12,e13) | e10 = op1(e11,e13) | e10 = op1(e10,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f65,plain,(+% 218.15/218.29 op1(e11,e11) = e13 | op1(e11,e11) = e12 | op1(e11,e11) = e11 | e10 = op1(e11,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f202,plain,(+% 218.15/218.29 op1(e13,e11) != op1(e13,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f289,plain,(+% 218.15/218.29 op1(e11,op1(e10,e11)) = e11 | ~sP0),+% 218.15/218.29 inference(cnf_transformation,[],[f44])).+% 218.15/218.29 +% 218.15/218.29 fof(f87,plain,(+% 218.15/218.29 op1(e13,e11) = e11 | op1(e12,e11) = e11 | op1(e11,e11) = e11 | op1(e10,e11) = e11),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f165,plain,(+% 218.15/218.29 op1(e11,e11) != op1(e12,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f198,plain,(+% 218.15/218.29 op1(e13,e10) != op1(e13,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f162,plain,(+% 218.15/218.29 op1(e10,e11) != op1(e11,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f73,plain,(+% 218.15/218.29 op1(e13,e11) = e13 | op1(e13,e11) = e12 | op1(e13,e11) = e11 | e10 = op1(e13,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f166,plain,(+% 218.15/218.29 op1(e11,e11) != op1(e13,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f89,plain,(+% 218.15/218.29 op1(e13,e11) = e12 | op1(e12,e11) = e12 | op1(e11,e11) = e12 | op1(e10,e11) = e12),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f163,plain,(+% 218.15/218.29 op1(e10,e11) != op1(e12,e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f80,plain,(+% 218.15/218.29 op1(e10,e13) = e12 | op1(e10,e12) = e12 | op1(e10,e11) = e12 | op1(e10,e10) = e12),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f11,axiom,(+% 218.15/218.29 (op2(e23,op2(e23,e23)) = e23 & op2(e22,op2(e23,e22)) = e22 & op2(e21,op2(e23,e21)) = e21 & e20 = op2(e20,op2(e23,e20))) | (op2(e23,op2(e22,e23)) = e23 & op2(e22,op2(e22,e22)) = e22 & op2(e21,op2(e22,e21)) = e21 & e20 = op2(e20,op2(e22,e20))) | (op2(e23,op2(e21,e23)) = e23 & op2(e22,op2(e21,e22)) = e22 & op2(e21,op2(e21,e21)) = e21 & e20 = op2(e20,op2(e21,e20))) | (op2(e23,op2(e20,e23)) = e23 & op2(e22,op2(e20,e22)) = e22 & op2(e21,op2(e20,e21)) = e21 & e20 = op2(e20,op2(e20,e20)))),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f27,plain,(+% 218.15/218.29 (op2(e23,op2(e22,e23)) = e23 & op2(e22,op2(e22,e22)) = e22 & op2(e21,op2(e22,e21)) = e21 & e20 = op2(e20,op2(e22,e20))) | ~sP5),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])).+% 218.15/218.29 +% 218.15/218.29 fof(f26,plain,(+% 218.15/218.29 (op2(e23,op2(e21,e23)) = e23 & op2(e22,op2(e21,e22)) = e22 & op2(e21,op2(e21,e21)) = e21 & e20 = op2(e20,op2(e21,e20))) | ~sP4),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])).+% 218.15/218.29 +% 218.15/218.29 fof(f25,plain,(+% 218.15/218.29 (op2(e23,op2(e20,e23)) = e23 & op2(e22,op2(e20,e22)) = e22 & op2(e21,op2(e20,e21)) = e21 & e20 = op2(e20,op2(e20,e20))) | ~sP3),+% 218.15/218.29 introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])).+% 218.15/218.29 +% 218.15/218.29 fof(f28,plain,(+% 218.15/218.29 (op2(e23,op2(e23,e23)) = e23 & op2(e22,op2(e23,e22)) = e22 & op2(e21,op2(e23,e21)) = e21 & e20 = op2(e20,op2(e23,e20))) | sP5 | sP4 | sP3),+% 218.15/218.29 inference(definition_folding,[],[f11,f27,f26,f25])).+% 218.15/218.29 +% 218.15/218.29 fof(f310,plain,(+% 218.15/218.29 op2(e22,op2(e23,e22)) = e22 | sP5 | sP4 | sP3),+% 218.15/218.29 inference(cnf_transformation,[],[f28])).+% 218.15/218.29 +% 218.15/218.29 fof(f45,plain,(+% 218.15/218.29 (op2(e23,op2(e22,e23)) = e23 & op2(e22,op2(e22,e22)) = e22 & op2(e21,op2(e22,e21)) = e21 & e20 = op2(e20,op2(e22,e20))) | ~sP5),+% 218.15/218.29 inference(nnf_transformation,[],[f27])).+% 218.15/218.29 +% 218.15/218.29 fof(f298,plain,(+% 218.15/218.29 op2(e22,op2(e22,e22)) = e22 | ~sP5),+% 218.15/218.29 inference(cnf_transformation,[],[f45])).+% 218.15/218.29 +% 218.15/218.29 fof(f261,plain,(+% 218.15/218.29 e21 != e22),+% 218.15/218.29 inference(cnf_transformation,[],[f8])).+% 218.15/218.29 +% 218.15/218.29 fof(f46,plain,(+% 218.15/218.29 (op2(e23,op2(e21,e23)) = e23 & op2(e22,op2(e21,e22)) = e22 & op2(e21,op2(e21,e21)) = e21 & e20 = op2(e20,op2(e21,e20))) | ~sP4),+% 218.15/218.29 inference(nnf_transformation,[],[f26])).+% 218.15/218.29 +% 218.15/218.29 fof(f303,plain,(+% 218.15/218.29 op2(e23,op2(e21,e23)) = e23 | ~sP4),+% 218.15/218.29 inference(cnf_transformation,[],[f46])).+% 218.15/218.29 +% 218.15/218.29 fof(f301,plain,(+% 218.15/218.29 op2(e21,op2(e21,e21)) = e21 | ~sP4),+% 218.15/218.29 inference(cnf_transformation,[],[f46])).+% 218.15/218.29 +% 218.15/218.29 fof(f260,plain,(+% 218.15/218.29 e20 != e23),+% 218.15/218.29 inference(cnf_transformation,[],[f8])).+% 218.15/218.29 +% 218.15/218.29 fof(f262,plain,(+% 218.15/218.29 e21 != e23),+% 218.15/218.29 inference(cnf_transformation,[],[f8])).+% 218.15/218.29 +% 218.15/218.29 fof(f207,plain,(+% 218.15/218.29 op2(e21,e20) != op2(e22,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f208,plain,(+% 218.15/218.29 op2(e21,e20) != op2(e23,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f219,plain,(+% 218.15/218.29 op2(e21,e22) != op2(e22,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f131,plain,(+% 218.15/218.29 op2(e23,e20) = e23 | op2(e22,e20) = e23 | op2(e21,e20) = e23 | op2(e20,e20) = e23),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f132,plain,(+% 218.15/218.29 e20 = op2(e21,e23) | e20 = op2(e21,e22) | e20 = op2(e21,e21) | e20 = op2(e21,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f47,plain,(+% 218.15/218.29 (op2(e23,op2(e20,e23)) = e23 & op2(e22,op2(e20,e22)) = e22 & op2(e21,op2(e20,e21)) = e21 & e20 = op2(e20,op2(e20,e20))) | ~sP3),+% 218.15/218.29 inference(nnf_transformation,[],[f25])).+% 218.15/218.29 +% 218.15/218.29 fof(f306,plain,(+% 218.15/218.29 op2(e22,op2(e20,e22)) = e22 | ~sP3),+% 218.15/218.29 inference(cnf_transformation,[],[f47])).+% 218.15/218.29 +% 218.15/218.29 fof(f259,plain,(+% 218.15/218.29 e20 != e22),+% 218.15/218.29 inference(cnf_transformation,[],[f8])).+% 218.15/218.29 +% 218.15/218.29 fof(f263,plain,(+% 218.15/218.29 e22 != e23),+% 218.15/218.29 inference(cnf_transformation,[],[f8])).+% 218.15/218.29 +% 218.15/218.29 fof(f220,plain,(+% 218.15/218.29 op2(e21,e22) != op2(e23,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f225,plain,(+% 218.15/218.29 op2(e21,e23) != op2(e22,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f17,axiom,(+% 218.15/218.29 op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = h4(e13) & op2(e23,op2(e23,e23)) = h4(e11) & op2(e23,e23) = h4(e10) & e23 = h4(e12)),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f330,plain,(+% 218.15/218.29 e23 = h4(e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f17])).+% 218.15/218.29 +% 218.15/218.29 fof(f147,plain,(+% 218.15/218.29 op2(e23,e22) = e23 | op2(e22,e22) = e23 | op2(e21,e22) = e23 | op2(e20,e22) = e23),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f130,plain,(+% 218.15/218.29 op2(e20,e23) = e23 | op2(e20,e22) = e23 | op2(e20,e21) = e23 | op2(e20,e20) = e23),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f216,plain,(+% 218.15/218.29 op2(e20,e22) != op2(e21,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f221,plain,(+% 218.15/218.29 op2(e22,e22) != op2(e23,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f224,plain,(+% 218.15/218.29 op2(e20,e23) != op2(e23,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f229,plain,(+% 218.15/218.29 op2(e20,e20) != op2(e20,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f235,plain,(+% 218.15/218.29 op2(e21,e20) != op2(e21,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f237,plain,(+% 218.15/218.29 op2(e21,e21) != op2(e21,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f129,plain,(+% 218.15/218.29 op2(e23,e20) = e22 | op2(e22,e20) = e22 | op2(e21,e20) = e22 | op2(e20,e20) = e22),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f148,plain,(+% 218.15/218.29 e20 = op2(e23,e23) | e20 = op2(e23,e22) | e20 = op2(e23,e21) | e20 = op2(e23,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f151,plain,(+% 218.15/218.29 op2(e23,e23) = e21 | op2(e22,e23) = e21 | op2(e21,e23) = e21 | op2(e20,e23) = e21),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f152,plain,(+% 218.15/218.29 op2(e23,e23) = e22 | op2(e23,e22) = e22 | op2(e23,e21) = e22 | op2(e23,e20) = e22),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f114,plain,(+% 218.15/218.29 op2(e21,e22) = e23 | op2(e21,e22) = e22 | op2(e21,e22) = e21 | e20 = op2(e21,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f309,plain,(+% 218.15/218.29 op2(e21,op2(e23,e21)) = e21 | sP5 | sP4 | sP3),+% 218.15/218.29 inference(cnf_transformation,[],[f28])).+% 218.15/218.29 +% 218.15/218.29 fof(f307,plain,(+% 218.15/218.29 op2(e23,op2(e20,e23)) = e23 | ~sP3),+% 218.15/218.29 inference(cnf_transformation,[],[f47])).+% 218.15/218.29 +% 218.15/218.29 fof(f311,plain,(+% 218.15/218.29 op2(e23,op2(e23,e23)) = e23 | sP5 | sP4 | sP3),+% 218.15/218.29 inference(cnf_transformation,[],[f28])).+% 218.15/218.29 +% 218.15/218.29 fof(f110,plain,(+% 218.15/218.29 op2(e20,e22) = e23 | op2(e20,e22) = e22 | op2(e20,e22) = e21 | e20 = op2(e20,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f217,plain,(+% 218.15/218.29 op2(e20,e22) != op2(e22,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f149,plain,(+% 218.15/218.29 e20 = op2(e23,e23) | e20 = op2(e22,e23) | e20 = op2(e21,e23) | e20 = op2(e20,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f206,plain,(+% 218.15/218.29 op2(e20,e20) != op2(e23,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f210,plain,(+% 218.15/218.29 op2(e20,e21) != op2(e21,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f214,plain,(+% 218.15/218.29 op2(e21,e21) != op2(e23,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f124,plain,(+% 218.15/218.29 e20 = op2(e20,e23) | e20 = op2(e20,e22) | e20 = op2(e20,e21) | e20 = op2(e20,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f134,plain,(+% 218.15/218.29 op2(e21,e23) = e21 | op2(e21,e22) = e21 | op2(e21,e21) = e21 | op2(e21,e20) = e21),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f232,plain,(+% 218.15/218.29 op2(e20,e21) != op2(e20,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f233,plain,(+% 218.15/218.29 op2(e20,e22) != op2(e20,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f211,plain,(+% 218.15/218.29 op2(e20,e21) != op2(e22,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f212,plain,(+% 218.15/218.29 op2(e20,e21) != op2(e23,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f215,plain,(+% 218.15/218.29 op2(e22,e21) != op2(e23,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f218,plain,(+% 218.15/218.29 op2(e20,e22) != op2(e23,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f231,plain,(+% 218.15/218.29 op2(e20,e21) != op2(e20,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f244,plain,(+% 218.15/218.29 op2(e22,e21) != op2(e22,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f249,plain,(+% 218.15/218.29 op2(e23,e21) != op2(e23,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f121,plain,(+% 218.15/218.29 op2(e23,e21) = e23 | op2(e23,e21) = e22 | op2(e23,e21) = e21 | e20 = op2(e23,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f122,plain,(+% 218.15/218.29 op2(e23,e22) = e23 | op2(e23,e22) = e22 | op2(e23,e22) = e21 | e20 = op2(e23,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f117,plain,(+% 218.15/218.29 op2(e22,e21) = e23 | op2(e22,e21) = e22 | op2(e22,e21) = e21 | e20 = op2(e22,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f243,plain,(+% 218.15/218.29 op2(e22,e21) != op2(e22,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f222,plain,(+% 218.15/218.29 op2(e20,e23) != op2(e21,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f111,plain,(+% 218.15/218.29 op2(e20,e23) = e23 | op2(e20,e23) = e22 | op2(e20,e23) = e21 | e20 = op2(e20,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f213,plain,(+% 218.15/218.29 op2(e21,e21) != op2(e22,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f223,plain,(+% 218.15/218.29 op2(e20,e23) != op2(e22,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f144,plain,(+% 218.15/218.29 op2(e22,e23) = e22 | op2(e22,e22) = e22 | op2(e22,e21) = e22 | op2(e22,e20) = e22),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f136,plain,(+% 218.15/218.29 op2(e21,e23) = e22 | op2(e21,e22) = e22 | op2(e21,e21) = e22 | op2(e21,e20) = e22),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f230,plain,(+% 218.15/218.29 op2(e20,e20) != op2(e20,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f247,plain,(+% 218.15/218.29 op2(e23,e20) != op2(e23,e22)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f145,plain,(+% 218.15/218.29 op2(e23,e22) = e22 | op2(e22,e22) = e22 | op2(e21,e22) = e22 | op2(e20,e22) = e22),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f228,plain,(+% 218.15/218.29 op2(e20,e20) != op2(e20,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f234,plain,(+% 218.15/218.29 op2(e21,e20) != op2(e21,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f135,plain,(+% 218.15/218.29 op2(e23,e21) = e21 | op2(e22,e21) = e21 | op2(e21,e21) = e21 | op2(e20,e21) = e21),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f109,plain,(+% 218.15/218.29 op2(e20,e21) = e23 | op2(e20,e21) = e22 | op2(e20,e21) = e21 | e20 = op2(e20,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f305,plain,(+% 218.15/218.29 op2(e21,op2(e20,e21)) = e21 | ~sP3),+% 218.15/218.29 inference(cnf_transformation,[],[f47])).+% 218.15/218.29 +% 218.15/218.29 fof(f155,plain,(+% 218.15/218.29 op2(e23,e23) = e23 | op2(e22,e23) = e23 | op2(e21,e23) = e23 | op2(e20,e23) = e23),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f236,plain,(+% 218.15/218.29 op2(e21,e20) != op2(e21,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f251,plain,(+% 218.15/218.29 op2(e23,e22) != op2(e23,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f238,plain,(+% 218.15/218.29 op2(e21,e21) != op2(e21,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f133,plain,(+% 218.15/218.29 e20 = op2(e23,e21) | e20 = op2(e22,e21) | e20 = op2(e21,e21) | e20 = op2(e20,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f153,plain,(+% 218.15/218.29 op2(e23,e23) = e22 | op2(e22,e23) = e22 | op2(e21,e23) = e22 | op2(e20,e23) = e22),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f137,plain,(+% 218.15/218.29 op2(e23,e21) = e22 | op2(e22,e21) = e22 | op2(e21,e21) = e22 | op2(e20,e21) = e22),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f139,plain,(+% 218.15/218.29 op2(e23,e21) = e23 | op2(e22,e21) = e23 | op2(e21,e21) = e23 | op2(e20,e21) = e23),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f226,plain,(+% 218.15/218.29 op2(e21,e23) != op2(e23,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f150,plain,(+% 218.15/218.29 op2(e23,e23) = e21 | op2(e23,e22) = e21 | op2(e23,e21) = e21 | op2(e23,e20) = e21),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f209,plain,(+% 218.15/218.29 op2(e22,e20) != op2(e23,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f246,plain,(+% 218.15/218.29 op2(e23,e20) != op2(e23,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f15,axiom,(+% 218.15/218.29 op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = h2(e13) & op2(e21,op2(e21,e21)) = h2(e11) & op2(e21,e21) = h2(e10) & e21 = h2(e12)),+% 218.15/218.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).+% 218.15/218.29 +% 218.15/218.29 fof(f322,plain,(+% 218.15/218.29 e21 = h2(e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f15])).+% 218.15/218.29 +% 218.15/218.29 fof(f227,plain,(+% 218.15/218.29 op2(e22,e23) != op2(e23,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f250,plain,(+% 218.15/218.29 op2(e23,e21) != op2(e23,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f128,plain,(+% 218.15/218.29 op2(e20,e23) = e22 | op2(e20,e22) = e22 | op2(e20,e21) = e22 | op2(e20,e20) = e22),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f123,plain,(+% 218.15/218.29 op2(e23,e23) = e23 | op2(e23,e23) = e22 | op2(e23,e23) = e21 | e20 = op2(e23,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f120,plain,(+% 218.15/218.29 op2(e23,e20) = e23 | op2(e23,e20) = e22 | op2(e23,e20) = e21 | e20 = op2(e23,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f119,plain,(+% 218.15/218.29 op2(e22,e23) = e23 | op2(e22,e23) = e22 | op2(e22,e23) = e21 | e20 = op2(e22,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f239,plain,(+% 218.15/218.29 op2(e21,e22) != op2(e21,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f248,plain,(+% 218.15/218.29 op2(e23,e20) != op2(e23,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f245,plain,(+% 218.15/218.29 op2(e22,e22) != op2(e22,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f6])).+% 218.15/218.29 +% 218.15/218.29 fof(f138,plain,(+% 218.15/218.29 op2(e21,e23) = e23 | op2(e21,e22) = e23 | op2(e21,e21) = e23 | op2(e21,e20) = e23),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f116,plain,(+% 218.15/218.29 op2(e22,e20) = e23 | op2(e22,e20) = e22 | op2(e22,e20) = e21 | e20 = op2(e22,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f308,plain,(+% 218.15/218.29 e20 = op2(e20,op2(e23,e20)) | sP5 | sP4 | sP3),+% 218.15/218.29 inference(cnf_transformation,[],[f28])).+% 218.15/218.29 +% 218.15/218.29 fof(f318,plain,(+% 218.15/218.29 e20 = h1(e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f14])).+% 218.15/218.29 +% 218.15/218.29 fof(f113,plain,(+% 218.15/218.29 op2(e21,e21) = e23 | op2(e21,e21) = e22 | op2(e21,e21) = e21 | e20 = op2(e21,e21)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f125,plain,(+% 218.15/218.29 e20 = op2(e23,e20) | e20 = op2(e22,e20) | e20 = op2(e21,e20) | e20 = op2(e20,e20)),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 fof(f53,plain,(+% 218.15/218.29 (e20 != h3(e13) & e20 != h3(e12) & e20 != h3(e11) & e20 != h3(e10)) | ~sP12),+% 218.15/218.29 inference(nnf_transformation,[],[f35])).+% 218.15/218.29 +% 218.15/218.29 fof(f354,plain,(+% 218.15/218.29 e20 != h3(e10) | ~sP12),+% 218.15/218.29 inference(cnf_transformation,[],[f53])).+% 218.15/218.29 +% 218.15/218.29 fof(f52,plain,(+% 218.15/218.29 (e21 != h3(e13) & e21 != h3(e12) & e21 != h3(e11) & e21 != h3(e10)) | ~sP13),+% 218.15/218.29 inference(nnf_transformation,[],[f36])).+% 218.15/218.29 +% 218.15/218.29 fof(f351,plain,(+% 218.15/218.29 e21 != h3(e11) | ~sP13),+% 218.15/218.29 inference(cnf_transformation,[],[f52])).+% 218.15/218.29 +% 218.15/218.29 fof(f328,plain,(+% 218.15/218.29 op2(e22,op2(e22,e22)) = h3(e11)),+% 218.15/218.29 inference(cnf_transformation,[],[f16])).+% 218.15/218.29 +% 218.15/218.29 fof(f74,plain,(+% 218.15/218.29 op1(e13,e12) = e13 | op1(e13,e12) = e12 | op1(e13,e12) = e11 | e10 = op1(e13,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f104,plain,(+% 218.15/218.29 op1(e13,e13) = e12 | op1(e13,e12) = e12 | op1(e13,e11) = e12 | op1(e13,e10) = e12),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f161,plain,(+% 218.15/218.29 op1(e12,e10) != op1(e13,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f96,plain,(+% 218.15/218.29 op1(e12,e13) = e12 | op1(e12,e12) = e12 | op1(e12,e11) = e12 | op1(e12,e10) = e12),+% 218.15/218.29 inference(cnf_transformation,[],[f2])).+% 218.15/218.29 +% 218.15/218.29 fof(f158,plain,(+% 218.15/218.29 op1(e10,e10) != op1(e13,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f64,plain,(+% 218.15/218.29 op1(e11,e10) = e13 | op1(e11,e10) = e12 | op1(e11,e10) = e11 | e10 = op1(e11,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f323,plain,(+% 218.15/218.29 op2(e21,e21) = h2(e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f15])).+% 218.15/218.29 +% 218.15/218.29 fof(f66,plain,(+% 218.15/218.29 op1(e11,e12) = e13 | op1(e11,e12) = e12 | op1(e11,e12) = e11 | e10 = op1(e11,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f199,plain,(+% 218.15/218.29 op1(e13,e10) != op1(e13,e12)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f67,plain,(+% 218.15/218.29 op1(e11,e13) = e13 | op1(e11,e13) = e12 | op1(e11,e13) = e11 | e10 = op1(e11,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f191,plain,(+% 218.15/218.29 op1(e11,e12) != op1(e11,e13)),+% 218.15/218.29 inference(cnf_transformation,[],[f5])).+% 218.15/218.29 +% 218.15/218.29 fof(f68,plain,(+% 218.15/218.29 op1(e12,e10) = e13 | op1(e12,e10) = e12 | op1(e12,e10) = e11 | e10 = op1(e12,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f72,plain,(+% 218.15/218.29 op1(e13,e10) = e13 | op1(e13,e10) = e12 | op1(e13,e10) = e11 | e10 = op1(e13,e10)),+% 218.15/218.29 inference(cnf_transformation,[],[f1])).+% 218.15/218.29 +% 218.15/218.29 fof(f115,plain,(+% 218.15/218.29 op2(e21,e23) = e23 | op2(e21,e23) = e22 | op2(e21,e23) = e21 | e20 = op2(e21,e23)),+% 218.15/218.29 inference(cnf_transformation,[],[f3])).+% 218.15/218.29 +% 218.15/218.29 fof(f126,plain,(+% 218.15/218.29 op2(e20,e23) = e21 | op2(e20,e22) = e21 | op2(e20,e21) = e21 | op2(e20,e20) = e21),+% 218.15/218.29 inference(cnf_transformation,[],[f4])).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16532,plain,( X0 != X1 | X2 != X1 | X2 = X0 ),theory(equality) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16531,plain,( X0 = X0 ),theory(equality) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_3013688,plain,+% 218.15/218.29 ( X0 != X1 | X1 = X0 ),+% 218.15/218.29 inference(resolution,[status(thm)],[c_16532,c_16531]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_255,plain,+% 218.15/218.29 ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = e23 ),+% 218.15/218.29 inference(cnf_transformation,[],[f317]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_3013709,plain,+% 218.15/218.29 ( e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 218.15/218.29 inference(resolution,[status(thm)],[c_3013688,c_255]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_3040624,plain,+% 218.15/218.29 ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) | e23 = X0 ),+% 218.15/218.29 inference(resolution,[status(thm)],[c_3013709,c_16532]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_266,plain,+% 218.15/218.29 ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13) ),+% 218.15/218.29 inference(cnf_transformation,[],[f329]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_3013680,plain,+% 218.15/218.29 ( X0 != h3(e13) | op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = X0 ),+% 218.15/218.29 inference(resolution,[status(thm)],[c_16532,c_266]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_3039888,plain,+% 218.15/218.29 ( X0 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) | X0 != h3(e13) ),+% 218.15/218.29 inference(resolution,[status(thm)],[c_3013680,c_3013688]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_3567206,plain,+% 218.15/218.29 ( X0 != h3(e13) | e23 = X0 ),+% 218.15/218.29 inference(resolution,[status(thm)],[c_3040624,c_3039888]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16537,plain,( X0 != X1 | h3(X0) = h3(X1) ),theory(equality) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_3013691,plain,+% 218.15/218.29 ( X0 != X1 | X2 != h3(X1) | h3(X0) = X2 ),+% 218.15/218.29 inference(resolution,[status(thm)],[c_16532,c_16537]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_3039293,plain,+% 218.15/218.29 ( X0 != X1 | X2 != X1 | h3(X0) = h3(X2) ),+% 218.15/218.29 inference(resolution,[status(thm)],[c_3013691,c_16537]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_14,plain,+% 218.15/218.29 ( op1(e10,e11) = e11+% 218.15/218.29 | op1(e10,e11) = e12+% 218.15/218.29 | op1(e10,e11) = e13+% 218.15/218.29 | e10 = op1(e10,e11) ),+% 218.15/218.29 inference(cnf_transformation,[],[f61]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_103,plain,+% 218.15/218.29 ( op1(e12,e11) != op1(e12,e13) ),+% 218.15/218.29 inference(cnf_transformation,[],[f196]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16560,plain,+% 218.15/218.29 ( op1(e12,e11) != X0+% 218.15/218.29 | op1(e12,e11) = op1(e12,e13)+% 218.15/218.29 | op1(e12,e13) != X0 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16996,plain,+% 218.15/218.29 ( op1(e12,e11) != op1(X0,X1)+% 218.15/218.29 | op1(e12,e11) = op1(e12,e13)+% 218.15/218.29 | op1(e12,e13) != op1(X0,X1) ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16560]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_18139,plain,+% 218.15/218.29 ( op1(e12,e11) != op1(e12,e11)+% 218.15/218.29 | op1(e12,e11) = op1(e12,e13)+% 218.15/218.29 | op1(e12,e13) != op1(e12,e11) ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16996]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_18140,plain,+% 218.15/218.29 ( op1(e12,e11) = op1(e12,e11) ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_29863,plain,+% 218.15/218.29 ( X0 != X1 | op1(e12,e13) != X1 | op1(e12,e13) = X0 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_30891,plain,+% 218.15/218.29 ( X0 != e13 | op1(e12,e13) = X0 | op1(e12,e13) != e13 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_29863]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_34859,plain,+% 218.15/218.29 ( op1(e12,e11) != e13+% 218.15/218.29 | op1(e12,e13) = op1(e12,e11)+% 218.15/218.29 | op1(e12,e13) != e13 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_30891]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_4,plain,+% 218.15/218.29 ( op1(e12,e13) = e11+% 218.15/218.29 | op1(e12,e13) = e12+% 218.15/218.29 | op1(e12,e13) = e13+% 218.15/218.29 | e10 = op1(e12,e13) ),+% 218.15/218.29 inference(cnf_transformation,[],[f71]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_254,plain,+% 218.15/218.29 ( e10 = op1(e12,e12) ),+% 218.15/218.29 inference(cnf_transformation,[],[f312]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_253,plain,+% 218.15/218.29 ( op1(e12,op1(e12,e12)) = e11 ),+% 218.15/218.29 inference(cnf_transformation,[],[f313]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_105,plain,+% 218.15/218.29 ( op1(e12,e10) != op1(e12,e13) ),+% 218.15/218.29 inference(cnf_transformation,[],[f194]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_102,plain,+% 218.15/218.29 ( op1(e12,e12) != op1(e12,e13) ),+% 218.15/218.29 inference(cnf_transformation,[],[f197]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16533,plain,+% 218.15/218.29 ( X0 != X1 | X2 != X3 | op1(X0,X2) = op1(X1,X3) ),+% 218.15/218.29 theory(equality) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16539,plain,+% 218.15/218.29 ( op1(e12,e12) = op1(e12,e12) | e12 != e12 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16545,plain,+% 218.15/218.29 ( e12 = e12 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16564,plain,+% 218.15/218.29 ( op1(e12,e10) != X0+% 218.15/218.29 | op1(e12,e10) = op1(e12,e13)+% 218.15/218.29 | op1(e12,e13) != X0 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_17004,plain,+% 218.15/218.29 ( op1(e12,e10) = op1(e12,e13)+% 218.15/218.29 | op1(e12,e10) != e11+% 218.15/218.29 | op1(e12,e13) != e11 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16564]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_17013,plain,+% 218.15/218.29 ( e11 = e11 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_17105,plain,+% 218.15/218.29 ( op1(e12,e13) = op1(e12,e13) ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_17009,plain,+% 218.15/218.29 ( op1(e12,e10) = op1(X0,X1) | e10 != X1 | e12 != X0 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_18165,plain,+% 218.15/218.29 ( op1(e12,e10) = op1(X0,op1(e12,e12))+% 218.15/218.29 | e10 != op1(e12,e12)+% 218.15/218.29 | e12 != X0 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_17009]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_18166,plain,+% 218.15/218.29 ( op1(e12,e10) = op1(e12,op1(e12,e12))+% 218.15/218.29 | e10 != op1(e12,e12)+% 218.15/218.29 | e12 != e12 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_18165]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16991,plain,+% 218.15/218.29 ( X0 != X1 | op1(e12,e12) != X1 | op1(e12,e12) = X0 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_18119,plain,+% 218.15/218.29 ( X0 != op1(e12,e12)+% 218.15/218.29 | op1(e12,e12) = X0+% 218.15/218.29 | op1(e12,e12) != op1(e12,e12) ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16991]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_20081,plain,+% 218.15/218.29 ( op1(e12,e12) != op1(e12,e12)+% 218.15/218.29 | op1(e12,e12) = e10+% 218.15/218.29 | e10 != op1(e12,e12) ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_18119]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_17014,plain,+% 218.15/218.29 ( X0 != X1 | e11 != X1 | e11 = X0 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_18197,plain,+% 218.15/218.29 ( X0 != e11 | e11 = X0 | e11 != e11 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_17014]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_20243,plain,+% 218.15/218.29 ( op1(e12,op1(e12,e12)) != e11+% 218.15/218.29 | e11 = op1(e12,op1(e12,e12))+% 218.15/218.29 | e11 != e11 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_18197]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16995,plain,+% 218.15/218.29 ( X0 != X1 | op1(e12,e13) != X1 | op1(e12,e13) = X0 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_18137,plain,+% 218.15/218.29 ( X0 != op1(e12,e13)+% 218.15/218.29 | op1(e12,e13) = X0+% 218.15/218.29 | op1(e12,e13) != op1(e12,e13) ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16995]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_20399,plain,+% 218.15/218.29 ( op1(e12,e13) != op1(e12,e13)+% 218.15/218.29 | op1(e12,e13) = e10+% 218.15/218.29 | e10 != op1(e12,e13) ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_18137]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_16558,plain,+% 218.15/218.29 ( op1(e12,e12) != X0+% 218.15/218.29 | op1(e12,e12) = op1(e12,e13)+% 218.15/218.29 | op1(e12,e13) != X0 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_23127,plain,+% 218.15/218.29 ( op1(e12,e12) = op1(e12,e13)+% 218.15/218.29 | op1(e12,e12) != e10+% 218.15/218.29 | op1(e12,e13) != e10 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16558]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_30299,plain,+% 218.15/218.29 ( op1(e12,e10) != X0 | op1(e12,e10) = e11 | e11 != X0 ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.29 +% 218.15/218.29 cnf(c_32730,plain,+% 218.15/218.29 ( op1(e12,e10) != op1(e12,op1(e12,e12))+% 218.15/218.29 | op1(e12,e10) = e11+% 218.15/218.29 | e11 != op1(e12,op1(e12,e12)) ),+% 218.15/218.29 inference(instantiation,[status(thm)],[c_30299]) ).+% 218.15/218.29 +% 218.15/218.30 cnf(c_137970,plain,+% 218.15/218.30 ( op1(e12,e13) = e13 | op1(e12,e13) = e12 ),+% 218.15/218.30 inference(global_propositional_subsumption,+% 218.15/218.30 [status(thm)],+% 218.15/218.30 [c_4,c_254,c_253,c_105,c_102,c_16539,c_16545,c_17004,+% 218.15/218.30 c_17013,c_17105,c_18166,c_20081,c_20243,c_20399,c_23127,+% 218.15/218.30 c_32730]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_137971,plain,+% 218.15/218.30 ( op1(e12,e13) = e12 | op1(e12,e13) = e13 ),+% 218.15/218.30 inference(renaming,[status(thm)],[c_137970]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_32,plain,+% 218.15/218.30 ( op1(e10,e11) = e13+% 218.15/218.30 | op1(e11,e11) = e13+% 218.15/218.30 | op1(e12,e11) = e13+% 218.15/218.30 | op1(e13,e11) = e13 ),+% 218.15/218.30 inference(cnf_transformation,[],[f91]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_252,plain,+% 218.15/218.30 ( op1(op1(e12,op1(e12,e12)),op1(e12,e12)) = e13 ),+% 218.15/218.30 inference(cnf_transformation,[],[f314]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_120,plain,+% 218.15/218.30 ( op1(e12,e13) != op1(e13,e13) ),+% 218.15/218.30 inference(cnf_transformation,[],[f179]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_113,plain,+% 218.15/218.30 ( op1(e11,e10) != op1(e11,e11) ),+% 218.15/218.30 inference(cnf_transformation,[],[f186]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_98,plain,+% 218.15/218.30 ( op1(e13,e11) != op1(e13,e12) ),+% 218.15/218.30 inference(cnf_transformation,[],[f201]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_16965,plain,+% 218.15/218.30 ( op1(e13,e11) = op1(e13,e11) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_16580,plain,+% 218.15/218.30 ( op1(e11,e10) != X0+% 218.15/218.30 | op1(e11,e10) = op1(e11,e11)+% 218.15/218.30 | op1(e11,e11) != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_17059,plain,+% 218.15/218.30 ( op1(e11,e10) = op1(e11,e11)+% 218.15/218.30 | op1(e11,e10) != e13+% 218.15/218.30 | op1(e11,e11) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16580]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_16550,plain,+% 218.15/218.30 ( op1(e13,e11) != X0+% 218.15/218.30 | op1(e13,e11) = op1(e13,e12)+% 218.15/218.30 | op1(e13,e12) != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_17423,plain,+% 218.15/218.30 ( op1(e13,e11) != op1(e13,e11)+% 218.15/218.30 | op1(e13,e11) = op1(e13,e12)+% 218.15/218.30 | op1(e13,e12) != op1(e13,e11) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16550]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_18082,plain,+% 218.15/218.30 ( e13 = e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_17050,plain,+% 218.15/218.30 ( op1(e11,e10) = op1(X0,X1) | e10 != X1 | e11 != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_18263,plain,+% 218.15/218.30 ( op1(e11,e10) = op1(X0,op1(e12,e12))+% 218.15/218.30 | e10 != op1(e12,e12)+% 218.15/218.30 | e11 != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_17050]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_23176,plain,+% 218.15/218.30 ( op1(e11,e10) = op1(op1(e12,op1(e12,e12)),op1(e12,e12))+% 218.15/218.30 | e10 != op1(e12,e12)+% 218.15/218.30 | e11 != op1(e12,op1(e12,e12)) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_18263]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_16594,plain,+% 218.15/218.30 ( op1(e12,e13) != X0+% 218.15/218.30 | op1(e12,e13) = op1(e13,e13)+% 218.15/218.30 | op1(e13,e13) != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_24872,plain,+% 218.15/218.30 ( op1(e12,e13) = op1(e13,e13)+% 218.15/218.30 | op1(e12,e13) != e13+% 218.15/218.30 | op1(e13,e13) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16594]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_17011,plain,+% 218.15/218.30 ( X0 != X1 | e13 != X1 | e13 = X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_19596,plain,+% 218.15/218.30 ( X0 != e13 | e13 = X0 | e13 != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_17011]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_27674,plain,+% 218.15/218.30 ( op1(op1(e12,op1(e12,e12)),op1(e12,e12)) != e13+% 218.15/218.30 | e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12))+% 218.15/218.30 | e13 != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_19596]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_30818,plain,+% 218.15/218.30 ( op1(X0,X1) != X2+% 218.15/218.30 | op1(e13,e12) != X2+% 218.15/218.30 | op1(e13,e12) = op1(X0,X1) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_34177,plain,+% 218.15/218.30 ( op1(e13,e11) != e13+% 218.15/218.30 | op1(e13,e12) = op1(e13,e11)+% 218.15/218.30 | op1(e13,e12) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_30818]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_29900,plain,+% 218.15/218.30 ( X0 != X1 | op1(e11,e10) != X1 | op1(e11,e10) = X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_37231,plain,+% 218.15/218.30 ( op1(e11,e10) != X0 | op1(e11,e10) = e13 | e13 != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_29900]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_47043,plain,+% 218.15/218.30 ( op1(e11,e10) != op1(op1(e12,op1(e12,e12)),op1(e12,e12))+% 218.15/218.30 | op1(e11,e10) = e13+% 218.15/218.30 | e13 != op1(op1(e12,op1(e12,e12)),op1(e12,e12)) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_37231]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_25,plain,+% 218.15/218.30 ( op1(e12,e10) = e13+% 218.15/218.30 | op1(e12,e11) = e13+% 218.15/218.30 | op1(e12,e12) = e13+% 218.15/218.30 | op1(e12,e13) = e13 ),+% 218.15/218.30 inference(cnf_transformation,[],[f98]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_16561,plain,+% 218.15/218.30 ( op1(e12,e11) = op1(e12,e13)+% 218.15/218.30 | op1(e12,e11) != e12+% 218.15/218.30 | op1(e12,e13) != e12 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16560]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_6,plain,+% 218.15/218.30 ( op1(e12,e11) = e11+% 218.15/218.30 | op1(e12,e11) = e12+% 218.15/218.30 | op1(e12,e11) = e13+% 218.15/218.30 | e10 = op1(e12,e11) ),+% 218.15/218.30 inference(cnf_transformation,[],[f69]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_107,plain,+% 218.15/218.30 ( op1(e12,e10) != op1(e12,e11) ),+% 218.15/218.30 inference(cnf_transformation,[],[f192]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_104,plain,+% 218.15/218.30 ( op1(e12,e11) != op1(e12,e12) ),+% 218.15/218.30 inference(cnf_transformation,[],[f195]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_16568,plain,+% 218.15/218.30 ( op1(e12,e10) != X0+% 218.15/218.30 | op1(e12,e10) = op1(e12,e11)+% 218.15/218.30 | op1(e12,e11) != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_20140,plain,+% 218.15/218.30 ( op1(e12,e10) != op1(X0,op1(e12,e12))+% 218.15/218.30 | op1(e12,e10) = op1(e12,e11)+% 218.15/218.30 | op1(e12,e11) != op1(X0,op1(e12,e12)) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16568]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_20144,plain,+% 218.15/218.30 ( op1(e12,e10) != op1(e12,op1(e12,e12))+% 218.15/218.30 | op1(e12,e10) = op1(e12,e11)+% 218.15/218.30 | op1(e12,e11) != op1(e12,op1(e12,e12)) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_20140]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_16562,plain,+% 218.15/218.30 ( op1(e12,e11) != X0+% 218.15/218.30 | op1(e12,e11) = op1(e12,e12)+% 218.15/218.30 | op1(e12,e12) != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_23126,plain,+% 218.15/218.30 ( op1(e12,e11) = op1(e12,e12)+% 218.15/218.30 | op1(e12,e11) != e10+% 218.15/218.30 | op1(e12,e12) != e10 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16562]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_29852,plain,+% 218.15/218.30 ( X0 != X1 | op1(e12,e11) != X1 | op1(e12,e11) = X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_30876,plain,+% 218.15/218.30 ( X0 != e11 | op1(e12,e11) = X0 | op1(e12,e11) != e11 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_29852]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_31892,plain,+% 218.15/218.30 ( op1(e12,op1(e12,e12)) != e11+% 218.15/218.30 | op1(e12,e11) = op1(e12,op1(e12,e12))+% 218.15/218.30 | op1(e12,e11) != e11 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_30876]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_30882,plain,+% 218.15/218.30 ( X0 != op1(e12,e11)+% 218.15/218.30 | op1(e12,e11) = X0+% 218.15/218.30 | op1(e12,e11) != op1(e12,e11) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_29852]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_32502,plain,+% 218.15/218.30 ( op1(e12,e11) != op1(e12,e11)+% 218.15/218.30 | op1(e12,e11) = e10+% 218.15/218.30 | e10 != op1(e12,e11) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_30882]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_137972,plain,+% 218.15/218.30 ( op1(e12,e11) = e13 | op1(e12,e11) = e12 ),+% 218.15/218.30 inference(global_propositional_subsumption,+% 218.15/218.30 [status(thm)],+% 218.15/218.30 [c_6,c_254,c_253,c_107,c_104,c_16539,c_16545,c_18140,+% 218.15/218.30 c_18166,c_20081,c_20144,c_23126,c_31892,c_32502]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_137973,plain,+% 218.15/218.30 ( op1(e12,e11) = e12 | op1(e12,e11) = e13 ),+% 218.15/218.30 inference(renaming,[status(thm)],[c_137972]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_138000,plain,+% 218.15/218.30 ( op1(e12,e11) = e13 | op1(e12,e13) = e13 ),+% 218.15/218.30 inference(global_propositional_subsumption,+% 218.15/218.30 [status(thm)],+% 218.15/218.30 [c_25,c_254,c_253,c_107,c_104,c_103,c_6,c_16539,c_16545,+% 218.15/218.30 c_16561,c_18140,c_18166,c_20081,c_20144,c_23126,c_31892,+% 218.15/218.30 c_32502,c_137971]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_17,plain,+% 218.15/218.30 ( op1(e13,e10) = e13+% 218.15/218.30 | op1(e13,e11) = e13+% 218.15/218.30 | op1(e13,e12) = e13+% 218.15/218.30 | op1(e13,e13) = e13 ),+% 218.15/218.30 inference(cnf_transformation,[],[f106]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_139,plain,+% 218.15/218.30 ( op1(e11,e10) != op1(e13,e10) ),+% 218.15/218.30 inference(cnf_transformation,[],[f160]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_132,plain,+% 218.15/218.30 ( op1(e12,e11) != op1(e13,e11) ),+% 218.15/218.30 inference(cnf_transformation,[],[f167]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_16632,plain,+% 218.15/218.30 ( op1(e11,e10) != X0+% 218.15/218.30 | op1(e11,e10) = op1(e13,e10)+% 218.15/218.30 | op1(e13,e10) != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_17224,plain,+% 218.15/218.30 ( op1(e11,e10) = op1(e13,e10)+% 218.15/218.30 | op1(e11,e10) != e13+% 218.15/218.30 | op1(e13,e10) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16632]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_29817,plain,+% 218.15/218.30 ( X0 != X1 | op1(e13,e11) != X1 | op1(e13,e11) = X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_30823,plain,+% 218.15/218.30 ( X0 != e13 | op1(e13,e11) = X0 | op1(e13,e11) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_29817]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_42265,plain,+% 218.15/218.30 ( op1(e10,e12) != e13+% 218.15/218.30 | op1(e13,e11) = op1(e10,e12)+% 218.15/218.30 | op1(e13,e11) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_30823]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_59501,plain,+% 218.15/218.30 ( op1(e12,e11) != X0+% 218.15/218.30 | op1(e12,e11) = op1(e13,e11)+% 218.15/218.30 | op1(e13,e11) != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_62565,plain,+% 218.15/218.30 ( op1(e12,e11) != op1(e10,e12)+% 218.15/218.30 | op1(e12,e11) = op1(e13,e11)+% 218.15/218.30 | op1(e13,e11) != op1(e10,e12) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_59501]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_59788,plain,+% 218.15/218.30 ( X0 != X1 | op1(e12,e11) != X1 | op1(e12,e11) = X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_60769,plain,+% 218.15/218.30 ( X0 != op1(e12,e11)+% 218.15/218.30 | op1(e12,e11) = X0+% 218.15/218.30 | op1(e12,e11) != op1(e12,e11) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_59788]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_61724,plain,+% 218.15/218.30 ( op1(X0,X1) != op1(e12,e11)+% 218.15/218.30 | op1(e12,e11) = op1(X0,X1)+% 218.15/218.30 | op1(e12,e11) != op1(e12,e11) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_60769]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_67244,plain,+% 218.15/218.30 ( op1(e10,e12) != op1(e12,e11)+% 218.15/218.30 | op1(e12,e11) = op1(e10,e12)+% 218.15/218.30 | op1(e12,e11) != op1(e12,e11) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_61724]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_24,plain,+% 218.15/218.30 ( op1(e10,e12) = e13+% 218.15/218.30 | op1(e11,e12) = e13+% 218.15/218.30 | op1(e12,e12) = e13+% 218.15/218.30 | op1(e13,e12) = e13 ),+% 218.15/218.30 inference(cnf_transformation,[],[f99]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_143,plain,+% 218.15/218.30 ( op1(e10,e10) != op1(e11,e10) ),+% 218.15/218.30 inference(cnf_transformation,[],[f156]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_135,plain,+% 218.15/218.30 ( op1(e10,e11) != op1(e13,e11) ),+% 218.15/218.30 inference(cnf_transformation,[],[f164]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_124,plain,+% 218.15/218.30 ( op1(e10,e13) != op1(e12,e13) ),+% 218.15/218.30 inference(cnf_transformation,[],[f175]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_112,plain,+% 218.15/218.30 ( op1(e11,e10) != op1(e11,e12) ),+% 218.15/218.30 inference(cnf_transformation,[],[f187]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_41,plain,+% 218.15/218.30 ( op1(e10,e10) = e13+% 218.15/218.30 | op1(e10,e11) = e13+% 218.15/218.30 | op1(e10,e12) = e13+% 218.15/218.30 | op1(e10,e13) = e13 ),+% 218.15/218.30 inference(cnf_transformation,[],[f82]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_16624,plain,+% 218.15/218.30 ( op1(e10,e11) != X0+% 218.15/218.30 | op1(e10,e11) = op1(e13,e11)+% 218.15/218.30 | op1(e13,e11) != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_17196,plain,+% 218.15/218.30 ( op1(e10,e11) = op1(e13,e11)+% 218.15/218.30 | op1(e10,e11) != e13+% 218.15/218.30 | op1(e13,e11) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16624]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_16602,plain,+% 218.15/218.30 ( op1(e10,e13) != X0+% 218.15/218.30 | op1(e10,e13) = op1(e12,e13)+% 218.15/218.30 | op1(e12,e13) != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_19077,plain,+% 218.15/218.30 ( op1(e10,e13) != op1(e10,e13)+% 218.15/218.30 | op1(e10,e13) = op1(e12,e13)+% 218.15/218.30 | op1(e12,e13) != op1(e10,e13) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16602]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_19078,plain,+% 218.15/218.30 ( op1(e10,e13) = op1(e10,e13) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_16640,plain,+% 218.15/218.30 ( op1(e10,e10) != X0+% 218.15/218.30 | op1(e10,e10) = op1(e11,e10)+% 218.15/218.30 | op1(e11,e10) != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_19289,plain,+% 218.15/218.30 ( op1(e10,e10) = op1(e11,e10)+% 218.15/218.30 | op1(e10,e10) != e13+% 218.15/218.30 | op1(e11,e10) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16640]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_18141,plain,+% 218.15/218.30 ( op1(X0,X1) != X2+% 218.15/218.30 | op1(e12,e11) != X2+% 218.15/218.30 | op1(e12,e11) = op1(X0,X1) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_21646,plain,+% 218.15/218.30 ( op1(X0,X1) != e13+% 218.15/218.30 | op1(e12,e11) = op1(X0,X1)+% 218.15/218.30 | op1(e12,e11) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_18141]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_21647,plain,+% 218.15/218.30 ( op1(e12,e11) = op1(e12,e12)+% 218.15/218.30 | op1(e12,e11) != e13+% 218.15/218.30 | op1(e12,e12) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_21646]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_29884,plain,+% 218.15/218.30 ( X0 != X1 | op1(e11,e12) != X1 | op1(e11,e12) = X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_30912,plain,+% 218.15/218.30 ( X0 != e13 | op1(e11,e12) = X0 | op1(e11,e12) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_29884]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_31942,plain,+% 218.15/218.30 ( op1(op1(e12,op1(e12,e12)),op1(e12,e12)) != e13+% 218.15/218.30 | op1(e11,e12) = op1(op1(e12,op1(e12,e12)),op1(e12,e12))+% 218.15/218.30 | op1(e11,e12) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_30912]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_35127,plain,+% 218.15/218.30 ( op1(e10,e13) != e13+% 218.15/218.30 | op1(e12,e13) = op1(e10,e13)+% 218.15/218.30 | op1(e12,e13) != e13 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_30891]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_29538,plain,+% 218.15/218.30 ( op1(e11,e10) != X0+% 218.15/218.30 | op1(e11,e10) = op1(e11,e12)+% 218.15/218.30 | op1(e11,e12) != X0 ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.30 +% 218.15/218.30 cnf(c_36527,plain,+% 218.15/218.30 ( op1(e11,e10) != op1(op1(e12,op1(e12,e12)),op1(e12,e12))+% 218.15/218.30 | op1(e11,e10) = op1(e11,e12)+% 218.15/218.30 | op1(e11,e12) != op1(op1(e12,op1(e12,e12)),op1(e12,e12)) ),+% 218.15/218.30 inference(instantiation,[status(thm)],[c_29538]) ).+% 218.15/218.30 +% 218.15/218.31 cnf(c_137988,plain,+% 218.15/218.31 ( op1(e13,e11) = e13 | op1(e13,e12) = e13 | op1(e13,e13) = e13 ),+% 218.15/218.31 inference(global_propositional_subsumption,+% 218.15/218.31 [status(thm)],+% 218.15/218.31 [c_17,c_254,c_253,c_252,c_139,c_17013,c_17224,c_18082,+% 218.15/218.31 c_20243,c_23176,c_27674,c_47043]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_137998,plain,+% 218.15/218.31 ( op1(e10,e12) = e13 | op1(e13,e12) = e13 ),+% 218.15/218.31 inference(global_propositional_subsumption,+% 218.15/218.31 [status(thm)],+% 218.15/218.31 [c_24,c_254,c_253,c_252,c_143,c_135,c_124,c_120,c_112,+% 218.15/218.31 c_107,c_104,c_103,c_41,c_6,c_16539,c_16545,c_16561,+% 218.15/218.31 c_17013,c_17196,c_18082,c_18140,c_18166,c_19077,c_19078,+% 218.15/218.31 c_19289,c_20081,c_20144,c_20243,c_21647,c_23126,c_23176,+% 218.15/218.31 c_24872,c_27674,c_31892,c_31942,c_32502,c_35127,c_36527,+% 218.15/218.31 c_47043,c_137971,c_137988]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_138614,plain,+% 218.15/218.31 ( X0 != X1 | op1(e10,e12) != X1 | op1(e10,e12) = X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_154203,plain,+% 218.15/218.31 ( X0 != e13 | op1(e10,e12) = X0 | op1(e10,e12) != e13 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_138614]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_165517,plain,+% 218.15/218.31 ( op1(e10,e12) = op1(e12,e11)+% 218.15/218.31 | op1(e10,e12) != e13+% 218.15/218.31 | op1(e12,e11) != e13 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_154203]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_18,plain,+% 218.15/218.31 ( op1(e10,e13) = e12+% 218.15/218.31 | op1(e11,e13) = e12+% 218.15/218.31 | op1(e12,e13) = e12+% 218.15/218.31 | op1(e13,e13) = e12 ),+% 218.15/218.31 inference(cnf_transformation,[],[f105]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_27669,plain,+% 218.15/218.31 ( op1(e10,e12) != e13 | e13 = op1(e10,e12) | e13 != e13 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_19596]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_17070,plain,+% 218.15/218.31 ( X0 != X1 | op1(e10,e12) != X1 | op1(e10,e12) = X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_22792,plain,+% 218.15/218.31 ( X0 != e13 | op1(e10,e12) = X0 | op1(e10,e12) != e13 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_17070]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_29501,plain,+% 218.15/218.31 ( op1(e10,e12) = op1(e12,e11)+% 218.15/218.31 | op1(e10,e12) != e13+% 218.15/218.31 | op1(e12,e11) != e13 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_22792]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_60218,plain,+% 218.15/218.31 ( op1(e12,e11) != X0+% 218.15/218.31 | op1(e12,e13) != X0+% 218.15/218.31 | op1(e12,e13) = op1(e12,e11) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_60219,plain,+% 218.15/218.31 ( op1(e12,e11) != e12+% 218.15/218.31 | op1(e12,e13) = op1(e12,e11)+% 218.15/218.31 | op1(e12,e13) != e12 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_60218]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_60756,plain,+% 218.15/218.31 ( op1(e12,e13) = op1(X0,X1) | e12 != X0 | e13 != X1 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_63778,plain,+% 218.15/218.31 ( op1(e12,e13) = op1(X0,op1(e10,e12))+% 218.15/218.31 | e12 != X0+% 218.15/218.31 | e13 != op1(e10,e12) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_60756]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_63779,plain,+% 218.15/218.31 ( op1(e12,e13) = op1(e12,op1(e10,e12))+% 218.15/218.31 | e12 != e12+% 218.15/218.31 | e13 != op1(e10,e12) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_63778]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_144400,plain,+% 218.15/218.31 ( X0 != X1 | X0 = op1(X2,X3) | op1(X2,X3) != X1 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_148888,plain,+% 218.15/218.31 ( X0 = op1(e12,op1(e10,e12))+% 218.15/218.31 | X0 != e12+% 218.15/218.31 | op1(e12,op1(e10,e12)) != e12 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_144400]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_229,plain,+% 218.15/218.31 ( ~ sP0 | op1(e12,op1(e10,e12)) = e12 ),+% 218.15/218.31 inference(cnf_transformation,[],[f290]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_221,plain,+% 218.15/218.31 ( ~ sP2 | op1(e12,op1(e12,e12)) = e12 ),+% 218.15/218.31 inference(cnf_transformation,[],[f282]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_194,plain,+% 218.15/218.31 ( e11 != e12 ),+% 218.15/218.31 inference(cnf_transformation,[],[f255]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_16741,plain,+% 218.15/218.31 ( e11 != X0 | e11 = e12 | e12 != X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_23181,plain,+% 218.15/218.31 ( e11 != op1(e12,op1(e12,e12))+% 218.15/218.31 | e11 = e12+% 218.15/218.31 | e12 != op1(e12,op1(e12,e12)) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16741]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_65133,plain,+% 218.15/218.31 ( X0 != X1 | X0 = op1(X2,X3) | op1(X2,X3) != X1 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_128149,plain,+% 218.15/218.31 ( X0 = op1(e12,op1(e10,e12))+% 218.15/218.31 | X0 != e12+% 218.15/218.31 | op1(e12,op1(e10,e12)) != e12 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_65133]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_232,plain,+% 218.15/218.31 ( sP0 | sP1 | sP2 | op1(e13,op1(e13,e13)) = e13 ),+% 218.15/218.31 inference(cnf_transformation,[],[f295]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_235,plain,+% 218.15/218.31 ( sP0 | sP1 | sP2 | e10 = op1(e10,op1(e13,e10)) ),+% 218.15/218.31 inference(cnf_transformation,[],[f292]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_234,plain,+% 218.15/218.31 ( sP0 | sP1 | sP2 | op1(e11,op1(e13,e11)) = e11 ),+% 218.15/218.31 inference(cnf_transformation,[],[f293]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_196,plain,+% 218.15/218.31 ( e10 != e12 ),+% 218.15/218.31 inference(cnf_transformation,[],[f253]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_140,plain,+% 218.15/218.31 ( op1(e11,e10) != op1(e12,e10) ),+% 218.15/218.31 inference(cnf_transformation,[],[f159]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_126,plain,+% 218.15/218.31 ( op1(e12,e12) != op1(e13,e12) ),+% 218.15/218.31 inference(cnf_transformation,[],[f173]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_23,plain,+% 218.15/218.31 ( e10 = op1(e13,e10)+% 218.15/218.31 | e10 = op1(e13,e11)+% 218.15/218.31 | e10 = op1(e13,e12)+% 218.15/218.31 | e10 = op1(e13,e13) ),+% 218.15/218.31 inference(cnf_transformation,[],[f100]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_16958,plain,+% 218.15/218.31 ( op1(e13,e12) = op1(e13,e12) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_17146,plain,+% 218.15/218.31 ( e10 = e10 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_16743,plain,+% 218.15/218.31 ( e10 != X0 | e10 = e12 | e12 != X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_17316,plain,+% 218.15/218.31 ( e10 != op1(e10,op1(e13,e10))+% 218.15/218.31 | e10 = e12+% 218.15/218.31 | e12 != op1(e10,op1(e13,e10)) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16743]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_17684,plain,+% 218.15/218.31 ( op1(e10,e10) != X0 | e12 != X0 | e12 = op1(e10,e10) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_17685,plain,+% 218.15/218.31 ( op1(e10,e10) != e12 | e12 = op1(e10,e10) | e12 != e12 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_17684]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_18107,plain,+% 218.15/218.31 ( op1(e13,e10) = op1(e13,e10) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_19311,plain,+% 218.15/218.31 ( e10 != op1(e13,e10) | e10 = e12 | e12 != op1(e13,e10) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16743]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_16959,plain,+% 218.15/218.31 ( X0 != X1 | op1(e13,e12) != X1 | op1(e13,e12) = X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_18075,plain,+% 218.15/218.31 ( X0 != op1(e13,e12)+% 218.15/218.31 | op1(e13,e12) = X0+% 218.15/218.31 | op1(e13,e12) != op1(e13,e12) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16959]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_20396,plain,+% 218.15/218.31 ( op1(e13,e12) != op1(e13,e12)+% 218.15/218.31 | op1(e13,e12) = e10+% 218.15/218.31 | e10 != op1(e13,e12) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_18075]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_18261,plain,+% 218.15/218.31 ( op1(e11,e10) = op1(X0,op1(e13,e11))+% 218.15/218.31 | e10 != op1(e13,e11)+% 218.15/218.31 | e11 != X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_17050]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_20440,plain,+% 218.15/218.31 ( op1(e11,e10) = op1(e11,op1(e13,e11))+% 218.15/218.31 | e10 != op1(e13,e11)+% 218.15/218.31 | e11 != e11 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_18261]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_17007,plain,+% 218.15/218.31 ( X0 != X1 | op1(e12,e10) != X1 | op1(e12,e10) = X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_18688,plain,+% 218.15/218.31 ( X0 != e11 | op1(e12,e10) = X0 | op1(e12,e10) != e11 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_17007]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_21221,plain,+% 218.15/218.31 ( op1(e11,op1(e13,e11)) != e11+% 218.15/218.31 | op1(e12,e10) = op1(e11,op1(e13,e11))+% 218.15/218.31 | op1(e12,e10) != e11 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_18688]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_16606,plain,+% 218.15/218.31 ( op1(e12,e12) != X0+% 218.15/218.31 | op1(e12,e12) = op1(e13,e12)+% 218.15/218.31 | op1(e13,e12) != X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_23125,plain,+% 218.15/218.31 ( op1(e12,e12) = op1(e13,e12)+% 218.15/218.31 | op1(e12,e12) != e10+% 218.15/218.31 | op1(e13,e12) != e10 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16606]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_27673,plain,+% 218.15/218.31 ( op1(e13,op1(e13,e13)) != e13+% 218.15/218.31 | e13 = op1(e13,op1(e13,e13))+% 218.15/218.31 | e13 != e13 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_19596]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_18820,plain,+% 218.15/218.31 ( X0 != X1 | op1(e13,e10) != X1 | op1(e13,e10) = X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_21504,plain,+% 218.15/218.31 ( X0 != op1(e13,e10)+% 218.15/218.31 | op1(e13,e10) = X0+% 218.15/218.31 | op1(e13,e10) != op1(e13,e10) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_18820]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_29185,plain,+% 218.15/218.31 ( op1(e13,e10) != op1(e13,e10)+% 218.15/218.31 | op1(e13,e10) = e10+% 218.15/218.31 | e10 != op1(e13,e10) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_21504]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_31851,plain,+% 218.15/218.31 ( X0 != X1 | X0 = op1(e13,e10) | op1(e13,e10) != X1 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_31852,plain,+% 218.15/218.31 ( op1(e13,e10) != e12 | e12 = op1(e13,e10) | e12 != e12 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_31851]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_29831,plain,+% 218.15/218.31 ( op1(e13,e10) = op1(X0,X1) | e10 != X1 | e13 != X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_30849,plain,+% 218.15/218.31 ( op1(e13,e10) = op1(X0,op1(e13,e13))+% 218.15/218.31 | e10 != op1(e13,e13)+% 218.15/218.31 | e13 != X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_29831]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_31860,plain,+% 218.15/218.31 ( op1(e13,e10) = op1(e13,op1(e13,e13))+% 218.15/218.31 | e10 != op1(e13,e13)+% 218.15/218.31 | e13 != e13 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_30849]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_32374,plain,+% 218.15/218.31 ( X0 != e10 | X1 != e10 | op1(X0,X1) = op1(e10,e10) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_35950,plain,+% 218.15/218.31 ( X0 != e10 | op1(e10,X0) = op1(e10,e10) | e10 != e10 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_32374]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_49848,plain,+% 218.15/218.31 ( op1(e10,op1(e13,e10)) = op1(e10,e10)+% 218.15/218.31 | op1(e13,e10) != e10+% 218.15/218.31 | e10 != e10 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_35950]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_60210,plain,+% 218.15/218.31 ( op1(e13,e10) != X0 | op1(e13,e10) = e13 | e13 != X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_62414,plain,+% 218.15/218.31 ( op1(e13,e10) != op1(e13,op1(e13,e13))+% 218.15/218.31 | op1(e13,e10) = e13+% 218.15/218.31 | e13 != op1(e13,op1(e13,e13)) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_60210]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_59509,plain,+% 218.15/218.31 ( op1(e11,e10) != X0+% 218.15/218.31 | op1(e11,e10) = op1(e12,e10)+% 218.15/218.31 | op1(e12,e10) != X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_66850,plain,+% 218.15/218.31 ( op1(e11,e10) != op1(e11,op1(e13,e11))+% 218.15/218.31 | op1(e11,e10) = op1(e12,e10)+% 218.15/218.31 | op1(e12,e10) != op1(e11,op1(e13,e11)) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_59509]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_62845,plain,+% 218.15/218.31 ( X0 != X1+% 218.15/218.31 | X0 = op1(e10,op1(e13,e10))+% 218.15/218.31 | op1(e10,op1(e13,e10)) != X1 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_133462,plain,+% 218.15/218.31 ( X0 = op1(e10,op1(e13,e10))+% 218.15/218.31 | X0 != op1(e10,e10)+% 218.15/218.31 | op1(e10,op1(e13,e10)) != op1(e10,e10) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_62845]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_133487,plain,+% 218.15/218.31 ( op1(e10,op1(e13,e10)) != op1(e10,e10)+% 218.15/218.31 | e12 = op1(e10,op1(e13,e10))+% 218.15/218.31 | e12 != op1(e10,e10) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_133462]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_42,plain,+% 218.15/218.31 ( op1(e10,e10) = e12+% 218.15/218.31 | op1(e11,e10) = e12+% 218.15/218.31 | op1(e12,e10) = e12+% 218.15/218.31 | op1(e13,e10) = e12 ),+% 218.15/218.31 inference(cnf_transformation,[],[f81]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_192,plain,+% 218.15/218.31 ( e12 != e13 ),+% 218.15/218.31 inference(cnf_transformation,[],[f257]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_20112,plain,+% 218.15/218.31 ( X0 != X1 | X0 = op1(e12,e10) | op1(e12,e10) != X1 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_20113,plain,+% 218.15/218.31 ( op1(e12,e10) != e12 | e12 = op1(e12,e10) | e12 != e12 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_20112]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_20238,plain,+% 218.15/218.31 ( op1(e12,e10) != e11 | e11 = op1(e12,e10) | e11 != e11 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_18197]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_27668,plain,+% 218.15/218.31 ( op1(e11,e10) != e13 | e13 = op1(e11,e10) | e13 != e13 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_19596]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_30492,plain,+% 218.15/218.31 ( op1(e11,e10) != X0 | e12 != X0 | e12 = op1(e11,e10) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_30493,plain,+% 218.15/218.31 ( op1(e11,e10) != e12 | e12 = op1(e11,e10) | e12 != e12 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_30492]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_29620,plain,+% 218.15/218.31 ( e11 != X0 | e11 = e12 | e12 != X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_36462,plain,+% 218.15/218.31 ( e11 != op1(e12,e10) | e11 = e12 | e12 != op1(e12,e10) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_29620]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_59561,plain,+% 218.15/218.31 ( e12 != X0 | e12 = e13 | e13 != X0 ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.31 +% 218.15/218.31 cnf(c_62391,plain,+% 218.15/218.31 ( e12 != op1(e11,e10) | e12 = e13 | e13 != op1(e11,e10) ),+% 218.15/218.31 inference(instantiation,[status(thm)],[c_59561]) ).+% 218.15/218.31 +% 218.15/218.32 cnf(c_138028,plain,+% 218.15/218.32 ( op1(e10,e10) = e12 | op1(e13,e10) = e12 ),+% 218.15/218.32 inference(global_propositional_subsumption,+% 218.15/218.32 [status(thm)],+% 218.15/218.32 [c_42,c_254,c_253,c_252,c_194,c_192,c_16545,c_17013,+% 218.15/218.32 c_18082,c_18166,c_20113,c_20238,c_20243,c_23176,c_27668,+% 218.15/218.32 c_27674,c_30493,c_32730,c_36462,c_47043,c_62391]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_138112,plain,+% 218.15/218.32 ( sP2 | sP1 | sP0 ),+% 218.15/218.32 inference(global_propositional_subsumption,+% 218.15/218.32 [status(thm)],+% 218.15/218.32 [c_232,c_254,c_253,c_252,c_235,c_234,c_196,c_140,c_139,+% 218.15/218.32 c_126,c_23,c_16539,c_16545,c_16958,c_17013,c_17146,+% 218.15/218.32 c_17224,c_17316,c_17685,c_18082,c_18107,c_18166,c_19311,+% 218.15/218.32 c_20081,c_20243,c_20396,c_20440,c_21221,c_23125,c_23176,+% 218.15/218.32 c_27673,c_27674,c_29185,c_31852,c_31860,c_32730,c_47043,+% 218.15/218.32 c_49848,c_62414,c_66850,c_133487,c_138028]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_138113,plain,+% 218.15/218.32 ( sP0 | sP1 | sP2 ),+% 218.15/218.32 inference(renaming,[status(thm)],[c_138112]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_144211,plain,+% 218.15/218.32 ( X0 != X1+% 218.15/218.32 | X0 = op1(X2,op1(e12,e12))+% 218.15/218.32 | op1(X2,op1(e12,e12)) != X1 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_144212,plain,+% 218.15/218.32 ( op1(e12,op1(e12,e12)) != e12+% 218.15/218.32 | e12 = op1(e12,op1(e12,e12))+% 218.15/218.32 | e12 != e12 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_144211]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_224,plain,+% 218.15/218.32 ( ~ sP1 | op1(e13,op1(e11,e13)) = e13 ),+% 218.15/218.32 inference(cnf_transformation,[],[f287]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_226,plain,+% 218.15/218.32 ( ~ sP1 | op1(e11,op1(e11,e11)) = e11 ),+% 218.15/218.32 inference(cnf_transformation,[],[f285]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_195,plain,+% 218.15/218.32 ( e10 != e13 ),+% 218.15/218.32 inference(cnf_transformation,[],[f254]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_128,plain,+% 218.15/218.32 ( op1(e11,e12) != op1(e12,e12) ),+% 218.15/218.32 inference(cnf_transformation,[],[f171]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_39,plain,+% 218.15/218.32 ( e10 = op1(e11,e10)+% 218.15/218.32 | e10 = op1(e11,e11)+% 218.15/218.32 | e10 = op1(e11,e12)+% 218.15/218.32 | e10 = op1(e11,e13) ),+% 218.15/218.32 inference(cnf_transformation,[],[f84]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_16742,plain,+% 218.15/218.32 ( e10 != X0 | e10 = e13 | e13 != X0 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_17467,plain,+% 218.15/218.32 ( e10 != op1(e11,e10) | e10 = e13 | e13 != op1(e11,e10) ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_16742]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_18206,plain,+% 218.15/218.32 ( op1(e11,e12) = op1(e11,e12) ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_23054,plain,+% 218.15/218.32 ( op1(e11,op1(e11,e11)) != e11+% 218.15/218.32 | op1(e12,e10) = op1(e11,op1(e11,e11))+% 218.15/218.32 | op1(e12,e10) != e11 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_18688]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_16610,plain,+% 218.15/218.32 ( op1(e11,e12) != X0+% 218.15/218.32 | op1(e11,e12) = op1(e12,e12)+% 218.15/218.32 | op1(e12,e12) != X0 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_23124,plain,+% 218.15/218.32 ( op1(e11,e12) = op1(e12,e12)+% 218.15/218.32 | op1(e11,e12) != e10+% 218.15/218.32 | op1(e12,e12) != e10 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_16610]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_18268,plain,+% 218.15/218.32 ( op1(e11,e10) = op1(X0,op1(e11,e11))+% 218.15/218.32 | e10 != op1(e11,e11)+% 218.15/218.32 | e11 != X0 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_17050]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_27071,plain,+% 218.15/218.32 ( op1(e11,e10) = op1(e11,op1(e11,e11))+% 218.15/218.32 | e10 != op1(e11,e11)+% 218.15/218.32 | e11 != e11 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_18268]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_18762,plain,+% 218.15/218.32 ( X0 != X1 | op1(e11,e12) != X1 | op1(e11,e12) = X0 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_21310,plain,+% 218.15/218.32 ( X0 != op1(e11,e12)+% 218.15/218.32 | op1(e11,e12) = X0+% 218.15/218.32 | op1(e11,e12) != op1(e11,e12) ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_18762]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_29140,plain,+% 218.15/218.32 ( op1(e11,e12) != op1(e11,e12)+% 218.15/218.32 | op1(e11,e12) = e10+% 218.15/218.32 | e10 != op1(e11,e12) ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_21310]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_29566,plain,+% 218.15/218.32 ( op1(e11,e10) != X0+% 218.15/218.32 | op1(e11,e10) = op1(e12,e10)+% 218.15/218.32 | op1(e12,e10) != X0 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_45564,plain,+% 218.15/218.32 ( op1(e11,e10) != op1(e11,op1(e11,e11))+% 218.15/218.32 | op1(e11,e10) = op1(e12,e10)+% 218.15/218.32 | op1(e12,e10) != op1(e11,op1(e11,e11)) ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_29566]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_59839,plain,+% 218.15/218.32 ( X0 != X1 | op1(e11,e10) != X1 | op1(e11,e10) = X0 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_60827,plain,+% 218.15/218.32 ( X0 != e13 | op1(e11,e10) = X0 | op1(e11,e10) != e13 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_59839]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_72084,plain,+% 218.15/218.32 ( op1(e11,e10) = op1(e13,op1(e11,e13))+% 218.15/218.32 | op1(e11,e10) != e13+% 218.15/218.32 | op1(e13,op1(e11,e13)) != e13 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_60827]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_60744,plain,+% 218.15/218.32 ( op1(e13,e10) = op1(X0,X1) | e10 != X1 | e13 != X0 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_63762,plain,+% 218.15/218.32 ( op1(e13,e10) = op1(X0,op1(e11,e13))+% 218.15/218.32 | e10 != op1(e11,e13)+% 218.15/218.32 | e13 != X0 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_60744]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_137595,plain,+% 218.15/218.32 ( op1(e13,e10) = op1(e13,op1(e11,e13))+% 218.15/218.32 | e10 != op1(e11,e13)+% 218.15/218.32 | e13 != e13 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_63762]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_138193,plain,+% 218.15/218.32 ( op1(e11,e10) != X0+% 218.15/218.32 | op1(e11,e10) = op1(e13,e10)+% 218.15/218.32 | op1(e13,e10) != X0 ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_138834,plain,+% 218.15/218.32 ( op1(e11,e10) != X0 | op1(e13,e10) != X0 ),+% 218.15/218.32 inference(global_propositional_subsumption,+% 218.15/218.32 [status(thm)],+% 218.15/218.32 [c_138193,c_139,c_16632]) ).+% 218.15/218.32 +% 218.15/218.32 cnf(c_142352,plain,+% 218.15/218.32 ( op1(e11,e10) != op1(e13,op1(e11,e13))+% 218.15/218.32 | op1(e13,e10) != op1(e13,op1(e11,e13)) ),+% 218.15/218.32 inference(instantiation,[status(thm)],[c_138834]) ).+% 218.15/218.32 +% 218.23/218.33 cnf(c_145575,plain,+% 218.23/218.33 ( ~ sP1 ),+% 218.23/218.33 inference(global_propositional_subsumption,+% 218.23/218.33 [status(thm)],+% 218.23/218.33 [c_224,c_254,c_253,c_252,c_226,c_195,c_140,c_128,c_39,+% 218.23/218.33 c_16539,c_16545,c_17013,c_17467,c_18082,c_18166,c_18206,+% 218.23/218.33 c_20081,c_20243,c_23054,c_23124,c_23176,c_27071,c_27668,+% 218.23/218.33 c_27674,c_29140,c_32730,c_45564,c_47043,c_72084,+% 218.23/218.33 c_137595,c_142352]) ).+% 218.23/218.33 +% 218.23/218.33 cnf(c_174270,plain,+% 218.23/218.33 ( X0 != e12 | X0 = op1(e12,op1(e10,e12)) ),+% 218.23/218.33 inference(global_propositional_subsumption,+% 218.23/218.33 [status(thm)],+% 218.23/218.33 [c_148888,c_254,c_253,c_252,c_229,c_226,c_224,c_221,+% 218.23/218.33 c_195,c_194,c_140,c_128,c_39,c_16539,c_16545,c_17013,+% 218.23/218.33 c_17467,c_18082,c_18166,c_18206,c_20081,c_20243,c_23054,+% 218.23/218.33 c_23124,c_23181,c_23176,c_27071,c_27668,c_27674,c_29140,+% 218.23/218.33 c_32730,c_45564,c_47043,c_72084,c_128149,c_137595,+% 218.23/218.33 c_138113,c_142352,c_144212]) ).+% 218.23/218.33 +% 218.23/218.33 cnf(c_174271,plain,+% 218.23/218.33 ( X0 = op1(e12,op1(e10,e12)) | X0 != e12 ),+% 218.23/218.33 inference(renaming,[status(thm)],[c_174270]) ).+% 218.23/218.33 +% 218.23/218.33 cnf(c_174273,plain,+% 218.23/218.33 ( op1(e13,e13) = op1(e12,op1(e10,e12)) | op1(e13,e13) != e12 ),+% 218.23/218.33 inference(instantiation,[status(thm)],[c_174271]) ).+% 218.23/218.33 +% 218.23/218.33 cnf(c_138174,plain,+% 218.23/218.33 ( op1(e12,e13) != X0+% 218.23/218.33 | op1(e12,e13) = op1(e13,e13)+% 218.23/218.33 | op1(e13,e13) != X0 ),+% 218.23/218.33 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.33 +% 218.23/218.34 cnf(c_138659,plain,+% 218.23/218.34 ( op1(e12,e13) != X0 | op1(e13,e13) != X0 ),+% 218.23/218.34 inference(global_propositional_subsumption,+% 218.23/218.34 [status(thm)],+% 218.23/218.34 [c_138174,c_120,c_16594]) ).+% 218.23/218.34 +% 218.23/218.34 cnf(c_174274,plain,+% 218.23/218.34 ( op1(e12,e13) != op1(e12,op1(e10,e12))+% 218.23/218.34 | op1(e13,e13) != op1(e12,op1(e10,e12)) ),+% 218.23/218.34 inference(instantiation,[status(thm)],[c_138659]) ).+% 218.23/218.34 +% 218.23/218.34 cnf(c_174301,plain,+% 218.23/218.34 ( op1(e11,e13) = op1(e12,op1(e10,e12)) | op1(e11,e13) != e12 ),+% 218.23/218.34 inference(instantiation,[status(thm)],[c_174271]) ).+% 218.23/218.34 +% 218.23/218.34 cnf(c_138176,plain,+% 218.23/218.34 ( op1(e11,e13) != X0+% 218.23/218.34 | op1(e11,e13) = op1(e12,e13)+% 218.23/218.34 | op1(e12,e13) != X0 ),+% 218.23/218.34 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.34 +% 218.23/218.34 cnf(c_122,plain,+% 218.23/218.34 ( op1(e11,e13) != op1(e12,e13) ),+% 218.23/218.34 inference(cnf_transformation,[],[f177]) ).+% 218.23/218.34 +% 218.23/218.34 cnf(c_16598,plain,+% 218.23/218.34 ( op1(e11,e13) != X0+% 218.23/218.34 | op1(e11,e13) = op1(e12,e13)+% 218.23/218.34 | op1(e12,e13) != X0 ),+% 218.23/218.34 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.34 +% 218.23/218.34 cnf(c_138675,plain,+% 218.23/218.34 ( op1(e11,e13) != X0 | op1(e12,e13) != X0 ),+% 218.23/218.34 inference(global_propositional_subsumption,+% 218.23/218.34 [status(thm)],+% 218.23/218.34 [c_138176,c_122,c_16598]) ).+% 218.23/218.34 +% 218.23/218.34 cnf(c_174303,plain,+% 218.23/218.34 ( op1(e11,e13) != op1(e12,op1(e10,e12))+% 218.23/218.34 | op1(e12,e13) != op1(e12,op1(e10,e12)) ),+% 218.23/218.34 inference(instantiation,[status(thm)],[c_138675]) ).+% 218.23/218.34 +% 218.23/218.34 cnf(c_174318,plain,+% 218.23/218.34 ( op1(e10,e13) = op1(e12,op1(e10,e12)) | op1(e10,e13) != e12 ),+% 218.23/218.34 inference(instantiation,[status(thm)],[c_174271]) ).+% 218.23/218.34 +% 218.23/218.34 cnf(c_138178,plain,+% 218.23/218.34 ( op1(e10,e13) != X0+% 218.23/218.34 | op1(e10,e13) = op1(e12,e13)+% 218.23/218.34 | op1(e12,e13) != X0 ),+% 218.23/218.34 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.34 +% 218.23/218.34 cnf(c_138692,plain,+% 218.23/218.34 ( op1(e10,e13) != X0 | op1(e12,e13) != X0 ),+% 218.23/218.34 inference(global_propositional_subsumption,+% 218.23/218.34 [status(thm)],+% 218.23/218.34 [c_138178,c_124,c_16602]) ).+% 218.23/218.34 +% 218.23/218.34 cnf(c_174320,plain,+% 218.23/218.34 ( op1(e10,e13) != op1(e12,op1(e10,e12))+% 218.23/218.34 | op1(e12,e13) != op1(e12,op1(e10,e12)) ),+% 218.23/218.34 inference(instantiation,[status(thm)],[c_138692]) ).+% 218.23/218.34 +% 218.23/218.35 cnf(c_178051,plain,+% 218.23/218.35 ( op1(e10,e12) != e13 | op1(e10,e12) = op1(e12,e11) ),+% 218.23/218.35 inference(global_propositional_subsumption,+% 218.23/218.35 [status(thm)],+% 218.23/218.35 [c_165517,c_254,c_253,c_252,c_228,c_226,c_224,c_221,+% 218.23/218.35 c_195,c_194,c_140,c_139,c_128,c_124,c_118,c_114,c_107,+% 218.23/218.35 c_104,c_103,c_39,c_18,c_12,c_6,c_16539,c_16545,c_16591,+% 218.23/218.35 c_17013,c_17067,c_17224,c_17467,c_18082,c_18139,c_18140,+% 218.23/218.35 c_18166,c_18206,c_19077,c_19078,c_20081,c_20144,c_20243,+% 218.23/218.35 c_23054,c_23126,c_23124,c_23181,c_23176,c_27071,c_27668,+% 218.23/218.35 c_27669,c_27672,c_27674,c_29140,c_29228,c_29501,c_31892,+% 218.23/218.35 c_32502,c_32730,c_35127,c_45564,c_47043,c_60219,c_63779,+% 218.23/218.35 c_72084,c_75243,c_137595,c_137971,c_138028,c_138113,+% 218.23/218.35 c_142352,c_144212,c_154196,c_157387,c_157416,c_157419,+% 218.23/218.35 c_174273,c_174274,c_174301,c_174303,c_174318,c_174321,+% 218.23/218.35 c_174320]) ).+% 218.23/218.35 +% 218.23/218.35 cnf(c_178052,plain,+% 218.23/218.35 ( op1(e10,e12) = op1(e12,e11) | op1(e10,e12) != e13 ),+% 218.23/218.35 inference(renaming,[status(thm)],[c_178051]) ).+% 218.23/218.35 +% 218.23/218.35 cnf(c_225070,plain,+% 218.23/218.35 ( op1(e13,e12) = e13 | op1(e13,e13) = e13 ),+% 218.23/218.35 inference(global_propositional_subsumption,+% 218.23/218.35 [status(thm)],+% 218.23/218.35 [c_17,c_254,c_253,c_252,c_192,c_143,c_135,c_132,c_124,+% 218.23/218.35 c_120,c_112,c_107,c_104,c_103,c_98,c_41,c_24,c_6,+% 218.23/218.35 c_16539,c_16545,c_16561,c_17013,c_17196,c_17677,c_18082,+% 218.23/218.35 c_18140,c_18166,c_19077,c_19078,c_19289,c_20081,c_20144,+% 218.23/218.35 c_20243,c_21647,c_22973,c_23126,c_23176,c_24872,c_27669,+% 218.23/218.35 c_27674,c_30290,c_31892,c_31942,c_32502,c_34860,c_35127,+% 218.23/218.35 c_36527,c_47043,c_62404,c_76700,c_137971,c_137988,+% 218.23/218.35 c_178052]) ).+% 218.23/218.35 +% 218.23/218.36 cnf(c_225096,plain,+% 218.23/218.36 ( op1(e12,e11) = e13 | op1(e10,e11) = e13 ),+% 218.23/218.36 inference(global_propositional_subsumption,+% 218.23/218.36 [status(thm)],+% 218.23/218.36 [c_32,c_254,c_253,c_252,c_192,c_143,c_135,c_132,c_124,+% 218.23/218.36 c_120,c_113,c_112,c_107,c_104,c_103,c_98,c_41,c_24,c_6,+% 218.23/218.36 c_16539,c_16545,c_16561,c_17013,c_17059,c_17196,c_17677,+% 218.23/218.36 c_18082,c_18140,c_18166,c_19077,c_19078,c_19289,c_20081,+% 218.23/218.36 c_20144,c_20243,c_21647,c_22973,c_23126,c_23176,c_24872,+% 218.23/218.36 c_27669,c_27674,c_30290,c_31892,c_31942,c_32502,c_34860,+% 218.23/218.36 c_35127,c_36527,c_47043,c_62404,c_76700,c_137971,+% 218.23/218.36 c_137988,c_178052]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_225097,plain,+% 218.23/218.36 ( op1(e10,e11) = e13 | op1(e12,e11) = e13 ),+% 218.23/218.36 inference(renaming,[status(thm)],[c_225096]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_226829,plain,+% 218.23/218.36 ( op1(X0,X1) != X2+% 218.23/218.36 | op1(e12,e13) != X2+% 218.23/218.36 | op1(e12,e13) = op1(X0,X1) ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_232211,plain,+% 218.23/218.36 ( op1(e12,e13) = op1(e12,e13) | op1(e12,e13) != e12 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_226829]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_228,plain,+% 218.23/218.36 ( ~ sP0 | op1(e13,op1(e10,e13)) = e13 ),+% 218.23/218.36 inference(cnf_transformation,[],[f291]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_123,plain,+% 218.23/218.36 ( op1(e10,e13) != op1(e13,e13) ),+% 218.23/218.36 inference(cnf_transformation,[],[f176]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_12,plain,+% 218.23/218.36 ( op1(e10,e13) = e11+% 218.23/218.36 | op1(e10,e13) = e12+% 218.23/218.36 | op1(e10,e13) = e13+% 218.23/218.36 | e10 = op1(e10,e13) ),+% 218.23/218.36 inference(cnf_transformation,[],[f63]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_16603,plain,+% 218.23/218.36 ( op1(e10,e13) = op1(e12,e13)+% 218.23/218.36 | op1(e10,e13) != e12+% 218.23/218.36 | op1(e12,e13) != e12 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_16602]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_17672,plain,+% 218.23/218.36 ( op1(e12,e13) != X0 | e12 != X0 | e12 = op1(e12,e13) ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_17673,plain,+% 218.23/218.36 ( op1(e12,e13) != e12 | e12 = op1(e12,e13) | e12 != e12 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_17672]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_27672,plain,+% 218.23/218.36 ( op1(e13,op1(e10,e13)) != e13+% 218.23/218.36 | e13 = op1(e13,op1(e10,e13))+% 218.23/218.36 | e13 != e13 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_19596]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_18894,plain,+% 218.23/218.36 ( X0 != X1 | op1(e12,e11) != X1 | op1(e12,e11) = X0 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_21568,plain,+% 218.23/218.36 ( X0 != e13 | op1(e12,e11) = X0 | op1(e12,e11) != e13 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_18894]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_29157,plain,+% 218.23/218.36 ( op1(e12,e11) = op1(e13,op1(e10,e13))+% 218.23/218.36 | op1(e12,e11) != e13+% 218.23/218.36 | op1(e13,op1(e10,e13)) != e13 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_21568]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_18110,plain,+% 218.23/218.36 ( op1(e13,e10) = op1(X0,X1) | e10 != X1 | e13 != X0 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_21534,plain,+% 218.23/218.36 ( op1(e13,e10) = op1(X0,op1(e10,e13))+% 218.23/218.36 | e10 != op1(e10,e13)+% 218.23/218.36 | e13 != X0 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_18110]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_29228,plain,+% 218.23/218.36 ( op1(e13,e10) = op1(e13,op1(e10,e13))+% 218.23/218.36 | e10 != op1(e10,e13)+% 218.23/218.36 | e13 != e13 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_21534]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_29871,plain,+% 218.23/218.36 ( X0 != X1 | e13 != X1 | e13 = X0 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_31610,plain,+% 218.23/218.36 ( X0 != e13 | e13 = X0 | e13 != e13 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_29871]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_33701,plain,+% 218.23/218.36 ( op1(e12,e13) != e13 | e13 = op1(e12,e13) | e13 != e13 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_31610]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_59492,plain,+% 218.23/218.36 ( op1(e10,e13) != X0+% 218.23/218.36 | op1(e10,e13) = op1(e13,e13)+% 218.23/218.36 | op1(e13,e13) != X0 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_59901,plain,+% 218.23/218.36 ( op1(e10,e13) != op1(e10,e13)+% 218.23/218.36 | op1(e10,e13) = op1(e13,e13)+% 218.23/218.36 | op1(e13,e13) != op1(e10,e13) ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_59492]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_59768,plain,+% 218.23/218.36 ( X0 != X1 | op1(e13,e13) != X1 | op1(e13,e13) = X0 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_60735,plain,+% 218.23/218.36 ( X0 != e13 | op1(e13,e13) = X0 | op1(e13,e13) != e13 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_59768]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_65980,plain,+% 218.23/218.36 ( op1(e10,e13) != e13+% 218.23/218.36 | op1(e13,e13) = op1(e10,e13)+% 218.23/218.36 | op1(e13,e13) != e13 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_60735]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_75216,plain,+% 218.23/218.36 ( op1(e12,e11) != op1(e13,op1(e10,e13))+% 218.23/218.36 | op1(e12,e11) = op1(e13,e11)+% 218.23/218.36 | op1(e13,e11) != op1(e13,op1(e10,e13)) ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_59501]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_75243,plain,+% 218.23/218.36 ( op1(e13,e10) != op1(e13,op1(e10,e13))+% 218.23/218.36 | op1(e13,e10) = e13+% 218.23/218.36 | e13 != op1(e13,op1(e10,e13)) ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_60210]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_138560,plain,+% 218.23/218.36 ( X0 != X1 | e11 != X1 | e11 = X0 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_139907,plain,+% 218.23/218.36 ( X0 != e11 | e11 = X0 | e11 != e11 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_138560]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_141134,plain,+% 218.23/218.36 ( e11 = X0 | X0 != e11 ),+% 218.23/218.36 inference(global_propositional_subsumption,+% 218.23/218.36 [status(thm)],+% 218.23/218.36 [c_139907,c_17013,c_18197]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_141135,plain,+% 218.23/218.36 ( X0 != e11 | e11 = X0 ),+% 218.23/218.36 inference(renaming,[status(thm)],[c_141134]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_154058,plain,+% 218.23/218.36 ( op1(e10,e13) != e11 | e11 = op1(e10,e13) ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_141135]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_138246,plain,+% 218.23/218.36 ( e12 != X0 | e12 = e13 | e13 != X0 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.36 +% 218.23/218.36 cnf(c_16738,plain,+% 218.23/218.36 ( e12 != X0 | e12 = e13 | e13 != X0 ),+% 218.23/218.36 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.36 +% 218.23/218.37 cnf(c_138551,plain,+% 218.23/218.37 ( e12 != X0 | e13 != X0 ),+% 218.23/218.37 inference(global_propositional_subsumption,+% 218.23/218.37 [status(thm)],+% 218.23/218.37 [c_138246,c_192,c_16738]) ).+% 218.23/218.37 +% 218.23/218.37 cnf(c_162431,plain,+% 218.23/218.37 ( e12 != op1(e12,e13) | e13 != op1(e12,e13) ),+% 218.23/218.37 inference(instantiation,[status(thm)],[c_138551]) ).+% 218.23/218.37 +% 218.23/218.37 cnf(c_16,plain,+% 218.23/218.37 ( op1(e10,e13) = e13+% 218.23/218.37 | op1(e11,e13) = e13+% 218.23/218.37 | op1(e12,e13) = e13+% 218.23/218.37 | op1(e13,e13) = e13 ),+% 218.23/218.37 inference(cnf_transformation,[],[f107]) ).+% 218.23/218.37 +% 218.23/218.37 cnf(c_129,plain,+% 218.23/218.37 ( op1(e10,e12) != op1(e13,e12) ),+% 218.23/218.37 inference(cnf_transformation,[],[f170]) ).+% 218.23/218.37 +% 218.23/218.37 cnf(c_34854,plain,+% 218.23/218.37 ( op1(e12,e11) != e13+% 218.23/218.37 | op1(e13,e12) = op1(e12,e11)+% 218.23/218.37 | op1(e13,e12) != e13 ),+% 218.23/218.37 inference(instantiation,[status(thm)],[c_30818]) ).+% 218.23/218.37 +% 218.23/218.37 cnf(c_59498,plain,+% 218.23/218.37 ( op1(e10,e12) != X0+% 218.23/218.37 | op1(e10,e12) = op1(e13,e12)+% 218.23/218.37 | op1(e13,e12) != X0 ),+% 218.23/218.37 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.23/218.37 +% 218.23/218.37 cnf(c_67232,plain,+% 218.23/218.37 ( op1(e10,e12) != op1(e12,e11)+% 218.23/218.37 | op1(e10,e12) = op1(e13,e12)+% 218.23/218.37 | op1(e13,e12) != op1(e12,e11) ),+% 218.23/218.37 inference(instantiation,[status(thm)],[c_59498]) ).+% 218.23/218.37 +% 218.23/218.37 cnf(c_140034,plain,+% 218.23/218.37 ( X0 != op1(e10,e12)+% 218.23/218.37 | op1(e10,e12) = X0+% 218.23/218.37 | op1(e10,e12) != op1(e10,e12) ),+% 218.23/218.37 inference(instantiation,[status(thm)],[c_138614]) ).+% 218.23/218.37 +% 218.23/218.37 cnf(c_17069,plain,+% 218.23/218.37 ( op1(e10,e12) = op1(e10,e12) ),+% 218.23/218.37 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.23/218.37 +% 218.23/218.37 cnf(c_18283,plain,+% 218.23/218.37 ( X0 != op1(e10,e12)+% 218.23/218.37 | op1(e10,e12) = X0+% 218.23/218.37 | op1(e10,e12) != op1(e10,e12) ),+% 218.23/218.37 inference(instantiation,[status(thm)],[c_17070]) ).+% 218.23/218.37 +% 218.27/218.37 cnf(c_141413,plain,+% 218.27/218.37 ( op1(e10,e12) = X0 | X0 != op1(e10,e12) ),+% 218.27/218.37 inference(global_propositional_subsumption,+% 218.27/218.37 [status(thm)],+% 218.27/218.37 [c_140034,c_17069,c_18283]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_141414,plain,+% 218.27/218.37 ( X0 != op1(e10,e12) | op1(e10,e12) = X0 ),+% 218.27/218.37 inference(renaming,[status(thm)],[c_141413]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_141418,plain,+% 218.27/218.37 ( op1(X0,X1) != op1(e10,e12) | op1(e10,e12) = op1(X0,X1) ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_141414]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_167167,plain,+% 218.27/218.37 ( op1(e10,e12) = op1(e12,e11) | op1(e12,e11) != op1(e10,e12) ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_141418]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_225613,plain,+% 218.27/218.37 ( X0 != X1 | op1(e12,e11) != X1 | op1(e12,e11) = X0 ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_226840,plain,+% 218.27/218.37 ( X0 != e13 | op1(e12,e11) = X0 | op1(e12,e11) != e13 ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_225613]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_227978,plain,+% 218.27/218.37 ( op1(e10,e12) != e13+% 218.27/218.37 | op1(e12,e11) = op1(e10,e12)+% 218.27/218.37 | op1(e12,e11) != e13 ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_226840]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_96,plain,+% 218.27/218.37 ( op1(e13,e12) != op1(e13,e13) ),+% 218.27/218.37 inference(cnf_transformation,[],[f203]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_16546,plain,+% 218.27/218.37 ( op1(e13,e12) != X0+% 218.27/218.37 | op1(e13,e12) = op1(e13,e13)+% 218.27/218.37 | op1(e13,e13) != X0 ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_24873,plain,+% 218.27/218.37 ( op1(e13,e12) = op1(e13,e13)+% 218.27/218.37 | op1(e13,e12) != e13+% 218.27/218.37 | op1(e13,e13) != e13 ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_16546]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_41629,plain,+% 218.27/218.37 ( op1(e13,op1(e10,e13)) != e13+% 218.27/218.37 | op1(e13,e12) = op1(e13,op1(e10,e13))+% 218.27/218.37 | op1(e13,e12) != e13 ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_30818]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_111,plain,+% 218.27/218.37 ( op1(e11,e10) != op1(e11,e13) ),+% 218.27/218.37 inference(cnf_transformation,[],[f188]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_16576,plain,+% 218.27/218.37 ( op1(e11,e10) != X0+% 218.27/218.37 | op1(e11,e10) = op1(e11,e13)+% 218.27/218.37 | op1(e11,e13) != X0 ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_17044,plain,+% 218.27/218.37 ( op1(e11,e10) = op1(e11,e13)+% 218.27/218.37 | op1(e11,e10) != e13+% 218.27/218.37 | op1(e11,e13) != e13 ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_16576]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_137986,plain,+% 218.27/218.37 ( op1(e10,e13) = e13 | op1(e12,e13) = e13 | op1(e13,e13) = e13 ),+% 218.27/218.37 inference(global_propositional_subsumption,+% 218.27/218.37 [status(thm)],+% 218.27/218.37 [c_16,c_254,c_253,c_252,c_111,c_17013,c_17044,c_18082,+% 218.27/218.37 c_20243,c_23176,c_27674,c_47043]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_138555,plain,+% 218.27/218.37 ( X0 != X1 | e13 != X1 | e13 = X0 ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.27/218.37 +% 218.27/218.37 cnf(c_140898,plain,+% 218.27/218.37 ( X0 != e13 | e13 = X0 | e13 != e13 ),+% 218.27/218.37 inference(instantiation,[status(thm)],[c_138555]) ).+% 218.27/218.37 +% 218.27/218.38 cnf(c_143269,plain,+% 218.27/218.38 ( e13 = X0 | X0 != e13 ),+% 218.27/218.38 inference(global_propositional_subsumption,+% 218.27/218.38 [status(thm)],+% 218.27/218.38 [c_140898,c_18082,c_19596]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_143270,plain,+% 218.27/218.38 ( X0 != e13 | e13 = X0 ),+% 218.27/218.38 inference(renaming,[status(thm)],[c_143269]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_143274,plain,+% 218.27/218.38 ( op1(e10,e13) != e13 | e13 = op1(e10,e13) ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_143270]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_138474,plain,+% 218.27/218.38 ( op1(e13,e13) = op1(X0,X1) | e13 != X0 | e13 != X1 ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_140895,plain,+% 218.27/218.38 ( op1(e13,e13) = op1(e13,X0) | e13 != X0 | e13 != e13 ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_138474]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_16978,plain,+% 218.27/218.38 ( op1(e13,e13) = op1(X0,X1) | e13 != X0 | e13 != X1 ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_19592,plain,+% 218.27/218.38 ( op1(e13,e13) = op1(e13,X0) | e13 != X0 | e13 != e13 ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_16978]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_143264,plain,+% 218.27/218.38 ( e13 != X0 | op1(e13,e13) = op1(e13,X0) ),+% 218.27/218.38 inference(global_propositional_subsumption,+% 218.27/218.38 [status(thm)],+% 218.27/218.38 [c_140895,c_18082,c_19592]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_143265,plain,+% 218.27/218.38 ( op1(e13,e13) = op1(e13,X0) | e13 != X0 ),+% 218.27/218.38 inference(renaming,[status(thm)],[c_143264]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_149725,plain,+% 218.27/218.38 ( op1(e13,e13) = op1(e13,op1(e10,e13)) | e13 != op1(e10,e13) ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_143265]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_138505,plain,+% 218.27/218.38 ( X0 != X1 | op1(e12,e11) != X1 | op1(e12,e11) = X0 ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_139950,plain,+% 218.27/218.38 ( X0 != op1(e12,e11)+% 218.27/218.38 | op1(e12,e11) = X0+% 218.27/218.38 | op1(e12,e11) != op1(e12,e11) ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_138505]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_21574,plain,+% 218.27/218.38 ( X0 != op1(e12,e11)+% 218.27/218.38 | op1(e12,e11) = X0+% 218.27/218.38 | op1(e12,e11) != op1(e12,e11) ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_18894]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_141190,plain,+% 218.27/218.38 ( op1(e12,e11) = X0 | X0 != op1(e12,e11) ),+% 218.27/218.38 inference(global_propositional_subsumption,+% 218.27/218.38 [status(thm)],+% 218.27/218.38 [c_139950,c_18140,c_21574]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_141191,plain,+% 218.27/218.38 ( X0 != op1(e12,e11) | op1(e12,e11) = X0 ),+% 218.27/218.38 inference(renaming,[status(thm)],[c_141190]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_141195,plain,+% 218.27/218.38 ( op1(X0,X1) != op1(e12,e11) | op1(e12,e11) = op1(X0,X1) ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_141191]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_178081,plain,+% 218.27/218.38 ( op1(e10,e12) != op1(e12,e11) | op1(e12,e11) = op1(e10,e12) ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_141195]) ).+% 218.27/218.38 +% 218.27/218.38 cnf(c_225270,plain,+% 218.27/218.38 ( op1(e13,e12) != X0+% 218.27/218.38 | op1(e13,e12) = op1(e13,e13)+% 218.27/218.38 | op1(e13,e13) != X0 ),+% 218.27/218.38 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.27/218.38 +% 218.27/218.39 cnf(c_225560,plain,+% 218.27/218.39 ( op1(e13,e12) != X0 | op1(e13,e13) != X0 ),+% 218.27/218.39 inference(global_propositional_subsumption,+% 218.27/218.39 [status(thm)],+% 218.27/218.39 [c_225270,c_96,c_16546]) ).+% 218.27/218.39 +% 218.27/218.39 cnf(c_225565,plain,+% 218.27/218.39 ( op1(e13,e12) != op1(X0,X1) | op1(e13,e13) != op1(X0,X1) ),+% 218.27/218.39 inference(instantiation,[status(thm)],[c_225560]) ).+% 218.27/218.39 +% 218.27/218.39 cnf(c_229189,plain,+% 218.27/218.39 ( op1(e13,e12) != op1(e13,op1(e10,e13))+% 218.27/218.39 | op1(e13,e13) != op1(e13,op1(e10,e13)) ),+% 218.27/218.39 inference(instantiation,[status(thm)],[c_225565]) ).+% 218.27/218.39 +% 218.27/218.39 cnf(c_229277,plain,+% 218.27/218.39 ( op1(e12,e11) = op1(e10,e12) | op1(e12,e11) != e13 ),+% 218.27/218.39 inference(global_propositional_subsumption,+% 218.27/218.39 [status(thm)],+% 218.27/218.39 [c_227978,c_254,c_253,c_252,c_228,c_226,c_224,c_221,+% 218.27/218.39 c_195,c_194,c_143,c_140,c_136,c_135,c_128,c_124,c_120,+% 218.27/218.39 c_112,c_107,c_104,c_103,c_41,c_39,c_24,c_6,c_16539,+% 218.27/218.39 c_16545,c_16561,c_17013,c_17196,c_17203,c_17467,c_18082,+% 218.27/218.39 c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_20081,+% 218.27/218.39 c_20144,c_20243,c_21647,c_23054,c_23126,c_23124,c_23181,+% 218.27/218.39 c_23176,c_24872,c_27071,c_27668,c_27674,c_29140,c_31892,+% 218.27/218.39 c_31942,c_32502,c_32730,c_35127,c_36527,c_41629,c_45564,+% 218.27/218.39 c_47043,c_67244,c_72084,c_137595,c_137971,c_137988,+% 218.27/218.39 c_138026,c_138113,c_142352,c_143274,c_144212,c_149725,+% 218.27/218.39 c_178052,c_229189]) ).+% 218.27/218.39 +% 218.27/218.40 cnf(c_229618,plain,+% 218.27/218.40 ( op1(e12,e13) = e13 | op1(e13,e13) = e13 ),+% 218.27/218.40 inference(global_propositional_subsumption,+% 218.27/218.40 [status(thm)],+% 218.27/218.40 [c_16,c_254,c_253,c_252,c_192,c_143,c_135,c_132,c_129,+% 218.27/218.40 c_124,c_120,c_112,c_107,c_104,c_103,c_98,c_41,c_24,c_6,+% 218.27/218.40 c_16539,c_16545,c_16561,c_17013,c_17196,c_17677,c_18082,+% 218.27/218.40 c_18140,c_18166,c_19077,c_19078,c_19289,c_20081,c_20144,+% 218.27/218.40 c_20243,c_21647,c_22973,c_23126,c_23176,c_24872,c_27669,+% 218.27/218.40 c_27674,c_30290,c_31892,c_31942,c_32502,c_34854,c_34860,+% 218.27/218.40 c_35127,c_36527,c_47043,c_62404,c_67232,c_76700,+% 218.27/218.40 c_137971,c_137988,c_138000,c_167167,c_178052,c_229277]) ).+% 218.27/218.40 +% 218.27/218.40 cnf(c_225573,plain,+% 218.27/218.40 ( op1(e13,e11) = op1(X0,X1) | e11 != X1 | e13 != X0 ),+% 218.27/218.40 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.27/218.40 +% 218.27/218.40 cnf(c_227489,plain,+% 218.27/218.40 ( op1(e13,e11) = op1(e13,X0) | e11 != X0 | e13 != e13 ),+% 218.27/218.40 inference(instantiation,[status(thm)],[c_225573]) ).+% 218.27/218.40 +% 218.27/218.40 cnf(c_231881,plain,+% 218.27/218.40 ( e11 != X0 | op1(e13,e11) = op1(e13,X0) ),+% 218.27/218.40 inference(global_propositional_subsumption,+% 218.27/218.40 [status(thm)],+% 218.27/218.40 [c_227489,c_18082]) ).+% 218.27/218.40 +% 218.27/218.40 cnf(c_231882,plain,+% 218.27/218.40 ( op1(e13,e11) = op1(e13,X0) | e11 != X0 ),+% 218.27/218.40 inference(renaming,[status(thm)],[c_231881]) ).+% 218.27/218.40 +% 218.27/218.40 cnf(c_231889,plain,+% 218.27/218.40 ( op1(e13,e11) = op1(e13,op1(e10,e13)) | e11 != op1(e10,e13) ),+% 218.27/218.40 inference(instantiation,[status(thm)],[c_231882]) ).+% 218.27/218.40 +% 218.27/218.41 cnf(c_233334,plain,+% 218.27/218.41 ( op1(e12,e13) != e12 ),+% 218.27/218.41 inference(global_propositional_subsumption,+% 218.27/218.41 [status(thm)],+% 218.27/218.41 [c_232211,c_254,c_253,c_252,c_228,c_226,c_224,c_221,+% 218.27/218.41 c_195,c_194,c_140,c_139,c_132,c_128,c_124,c_123,c_107,+% 218.27/218.41 c_104,c_103,c_39,c_12,c_6,c_16539,c_16545,c_16603,+% 218.27/218.41 c_17013,c_17224,c_17467,c_17673,c_18082,c_18139,c_18140,+% 218.27/218.41 c_18166,c_18206,c_19078,c_20081,c_20144,c_20243,c_23054,+% 218.27/218.41 c_23126,c_23124,c_23181,c_23176,c_27071,c_27668,c_27672,+% 218.27/218.41 c_27674,c_29140,c_29157,c_29228,c_31892,c_32502,c_32730,+% 218.27/218.41 c_33701,c_45564,c_47043,c_59901,c_60219,c_65980,c_72084,+% 218.27/218.41 c_75216,c_75243,c_137595,c_138113,c_142352,c_144212,+% 218.27/218.41 c_154058,c_162431,c_229618,c_231889]) ).+% 218.27/218.41 +% 218.33/218.46 cnf(c_3023505,plain,+% 218.33/218.46 ( op1(e10,e11) = e13 ),+% 218.33/218.46 inference(global_propositional_subsumption,+% 218.33/218.46 [status(thm)],+% 218.33/218.46 [c_14,c_254,c_253,c_252,c_228,c_226,c_224,c_221,c_195,+% 218.33/218.46 c_194,c_192,c_143,c_140,c_139,c_135,c_132,c_128,c_124,+% 218.33/218.46 c_123,c_120,c_113,c_112,c_107,c_104,c_103,c_98,c_41,+% 218.33/218.46 c_39,c_32,c_24,c_12,c_6,c_16539,c_16545,c_16561,c_16603,+% 218.33/218.46 c_17013,c_17059,c_17196,c_17224,c_17467,c_17673,c_17677,+% 218.33/218.46 c_18082,c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,+% 218.33/218.46 c_19289,c_20081,c_20144,c_20243,c_21647,c_22973,c_23054,+% 218.33/218.46 c_23126,c_23124,c_23181,c_23176,c_24872,c_27071,c_27668,+% 218.33/218.46 c_27669,c_27672,c_27674,c_29140,c_29157,c_29228,c_30290,+% 218.33/218.46 c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,c_34859,+% 218.33/218.46 c_35127,c_36527,c_45564,c_47043,c_59901,c_60219,c_62404,+% 218.33/218.46 c_65980,c_72084,c_75216,c_75243,c_76700,c_137595,+% 218.33/218.46 c_137971,c_137988,c_138113,c_142352,c_144212,c_154058,+% 218.33/218.46 c_162431,c_178052,c_229618,c_231889]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_3023515,plain,+% 218.33/218.46 ( e13 = op1(e10,e11) ),+% 218.33/218.46 inference(resolution,[status(thm)],[c_3023505,c_3013688]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_3055877,plain,+% 218.33/218.46 ( X0 != op1(e10,e11) | h3(X0) = h3(e13) ),+% 218.33/218.46 inference(resolution,[status(thm)],[c_3039293,c_3023515]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_3569233,plain,+% 218.33/218.46 ( X0 != op1(e10,e11) | e23 = h3(X0) ),+% 218.33/218.46 inference(resolution,[status(thm)],[c_3567206,c_3055877]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_3917769,plain,+% 218.33/218.46 ( e23 = h3(op1(e10,e11)) ),+% 218.33/218.46 inference(resolution,[status(thm)],[c_3569233,c_16531]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_3917994,plain,+% 218.33/218.46 ( h3(op1(e10,e11)) = e23 ),+% 218.33/218.46 inference(resolution,[status(thm)],[c_3917769,c_3013688]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_3918026,plain,+% 218.33/218.46 ( X0 != e23 | h3(op1(e10,e11)) = X0 ),+% 218.33/218.46 inference(resolution,[status(thm)],[c_3917994,c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_4069589,plain,+% 218.33/218.46 ( X0 = h3(op1(e10,e11)) | X0 != e23 ),+% 218.33/218.46 inference(resolution,[status(thm)],[c_3918026,c_3013688]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_326,negated_conjecture,+% 218.33/218.46 ( sP12+% 218.33/218.46 | sP13+% 218.33/218.46 | sP14+% 218.33/218.46 | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))+% 218.33/218.46 | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+% 218.33/218.46 | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+% 218.33/218.46 | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+% 218.33/218.46 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 218.33/218.46 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 218.33/218.46 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 218.33/218.46 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 218.33/218.46 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 218.33/218.46 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 218.33/218.46 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 218.33/218.46 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 218.33/218.46 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 218.33/218.46 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 218.33/218.46 | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+% 218.33/218.46 | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+% 218.33/218.46 | e23 != h3(e13) ),+% 218.33/218.46 inference(cnf_transformation,[],[f393]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_287,plain,+% 218.33/218.46 ( ~ sP14 | e22 != h3(e12) ),+% 218.33/218.46 inference(cnf_transformation,[],[f348]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_269,plain,+% 218.33/218.46 ( e22 = h3(e12) ),+% 218.33/218.46 inference(cnf_transformation,[],[f326]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_360,plain,+% 218.33/218.46 ( sP13+% 218.33/218.46 | sP12+% 218.33/218.46 | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))+% 218.33/218.46 | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+% 218.33/218.46 | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+% 218.33/218.46 | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+% 218.33/218.46 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 218.33/218.46 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 218.33/218.46 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 218.33/218.46 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 218.33/218.46 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 218.33/218.46 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 218.33/218.46 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 218.33/218.46 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 218.33/218.46 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 218.33/218.46 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 218.33/218.46 | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+% 218.33/218.46 | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+% 218.33/218.46 | e23 != h3(e13) ),+% 218.33/218.46 inference(global_propositional_subsumption,+% 218.33/218.46 [status(thm)],+% 218.33/218.46 [c_326,c_287,c_269]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_361,plain,+% 218.33/218.46 ( sP12+% 218.33/218.46 | sP13+% 218.33/218.46 | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))+% 218.33/218.46 | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+% 218.33/218.46 | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+% 218.33/218.46 | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+% 218.33/218.46 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 218.33/218.46 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 218.33/218.46 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 218.33/218.46 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 218.33/218.46 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 218.33/218.46 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 218.33/218.46 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 218.33/218.46 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 218.33/218.46 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 218.33/218.46 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 218.33/218.46 | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+% 218.33/218.46 | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+% 218.33/218.46 | e23 != h3(e13) ),+% 218.33/218.46 inference(renaming,[status(thm)],[c_360]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_268,plain,+% 218.33/218.46 ( op2(e22,e22) = h3(e10) ),+% 218.33/218.46 inference(cnf_transformation,[],[f327]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_260,plain,+% 218.33/218.46 ( op2(e20,e20) = h1(e10) ),+% 218.33/218.46 inference(cnf_transformation,[],[f319]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_257,plain,+% 218.33/218.46 ( e20 = op2(e22,e22) ),+% 218.33/218.46 inference(cnf_transformation,[],[f315]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_231,plain,+% 218.33/218.46 ( ~ sP0 | e10 = op1(e10,op1(e10,e10)) ),+% 218.33/218.46 inference(cnf_transformation,[],[f288]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_16905,plain,+% 218.33/218.46 ( e23 = e23 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17089,plain,+% 218.33/218.46 ( op1(e10,e10) = op1(e10,e10) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_16906,plain,+% 218.33/218.46 ( X0 != X1 | e23 != X1 | e23 = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17391,plain,+% 218.33/218.46 ( X0 != e23 | e23 = X0 | e23 != e23 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16906]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_18617,plain,+% 218.33/218.46 ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != e23+% 218.33/218.46 | e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.33/218.46 | e23 != e23 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_16783,plain,+% 218.33/218.46 ( h3(e13) != X0 | e23 != X0 | e23 = h3(e13) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_19143,plain,+% 218.33/218.46 ( h3(e13) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.33/218.46 | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.33/218.46 | e23 = h3(e13) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16783]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17090,plain,+% 218.33/218.46 ( X0 != X1 | op1(e10,e10) != X1 | op1(e10,e10) = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_18358,plain,+% 218.33/218.46 ( X0 != op1(e10,e10)+% 218.33/218.46 | op1(e10,e10) = X0+% 218.33/218.46 | op1(e10,e10) != op1(e10,e10) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_17090]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_21699,plain,+% 218.33/218.46 ( op1(e10,e10) != op1(e10,e10)+% 218.33/218.46 | op1(e10,e10) = e10+% 218.33/218.46 | e10 != op1(e10,e10) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_18358]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_23192,plain,+% 218.33/218.46 ( h1(e10) = h1(e10) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_21712,plain,+% 218.33/218.46 ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != X0+% 218.33/218.46 | h3(e13) != X0+% 218.33/218.46 | h3(e13) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_23529,plain,+% 218.33/218.46 ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != h3(e13)+% 218.33/218.46 | h3(e13) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.33/218.46 | h3(e13) != h3(e13) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_21712]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_23530,plain,+% 218.33/218.46 ( h3(e13) = h3(e13) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_31708,plain,+% 218.33/218.46 ( h3(e10) = h3(X0) | e10 != X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16537]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_35056,plain,+% 218.33/218.46 ( h3(e10) = h3(op1(e10,e10)) | e10 != op1(e10,e10) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_31708]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_29795,plain,+% 218.33/218.46 ( op1(e10,e10) != X0 | h3(op1(e10,e10)) = h3(X0) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16537]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_45888,plain,+% 218.33/218.46 ( op1(e10,e10) != e10 | h3(op1(e10,e10)) = h3(e10) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_29795]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_29793,plain,+% 218.33/218.46 ( X0 != X1 | h3(op1(e10,e10)) != X1 | h3(op1(e10,e10)) = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_48181,plain,+% 218.33/218.46 ( X0 != h3(e10)+% 218.33/218.46 | h3(op1(e10,e10)) = X0+% 218.33/218.46 | h3(op1(e10,e10)) != h3(e10) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_29793]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_56460,plain,+% 218.33/218.46 ( op2(e22,e22) != h3(e10)+% 218.33/218.46 | h3(op1(e10,e10)) = op2(e22,e22)+% 218.33/218.46 | h3(op1(e10,e10)) != h3(e10) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_48181]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_40163,plain,+% 218.33/218.46 ( X0 != X1 | h1(e10) != X1 | h1(e10) = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_48613,plain,+% 218.33/218.46 ( X0 != h1(e10) | h1(e10) = X0 | h1(e10) != h1(e10) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_40163]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_59360,plain,+% 218.33/218.46 ( op2(e20,e20) != h1(e10)+% 218.33/218.46 | h1(e10) = op2(e20,e20)+% 218.33/218.46 | h1(e10) != h1(e10) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_48613]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_60272,plain,+% 218.33/218.46 ( X0 != X1 | e20 != X1 | e20 = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_61394,plain,+% 218.33/218.46 ( X0 != op2(e22,e22) | e20 = X0 | e20 != op2(e22,e22) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_60272]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_90448,plain,+% 218.33/218.46 ( h3(op1(e10,e10)) != op2(e22,e22)+% 218.33/218.46 | e20 != op2(e22,e22)+% 218.33/218.46 | e20 = h3(op1(e10,e10)) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_61394]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_59735,plain,+% 218.33/218.46 ( X0 != X1 | h3(op1(e10,e10)) != X1 | h3(op1(e10,e10)) = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_90460,plain,+% 218.33/218.46 ( X0 != op2(e22,e22)+% 218.33/218.46 | h3(op1(e10,e10)) = X0+% 218.33/218.46 | h3(op1(e10,e10)) != op2(e22,e22) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_59735]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_97516,plain,+% 218.33/218.46 ( h3(op1(e10,e10)) != op2(e22,e22)+% 218.33/218.46 | h3(op1(e10,e10)) = e20+% 218.33/218.46 | e20 != op2(e22,e22) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_90460]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_61550,plain,+% 218.33/218.46 ( X0 != X1 | h3(e10) != X1 | h3(e10) = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_65902,plain,+% 218.33/218.46 ( X0 != h3(op1(e10,e10))+% 218.33/218.46 | h3(e10) = X0+% 218.33/218.46 | h3(e10) != h3(op1(e10,e10)) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_61550]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_99935,plain,+% 218.33/218.46 ( h3(e10) != h3(op1(e10,e10))+% 218.33/218.46 | h3(e10) = e20+% 218.33/218.46 | e20 != h3(op1(e10,e10)) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_65902]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_69838,plain,+% 218.33/218.46 ( X0 != X1 | h1(e10) != X1 | h1(e10) = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_101528,plain,+% 218.33/218.46 ( X0 != op2(e20,e20) | h1(e10) = X0 | h1(e10) != op2(e20,e20) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_69838]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_111680,plain,+% 218.33/218.46 ( h1(e10) != op2(e20,e20) | h1(e10) = e20 | e20 != op2(e20,e20) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_101528]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_16534,plain,+% 218.33/218.46 ( X0 != X1 | X2 != X3 | op2(X0,X2) = op2(X1,X3) ),+% 218.33/218.46 theory(equality) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_63528,plain,+% 218.33/218.46 ( op2(e23,e23) = op2(X0,X1) | e23 != X0 | e23 != X1 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_104137,plain,+% 218.33/218.46 ( op2(e23,e23) = op2(h3(e13),X0) | e23 != X0 | e23 != h3(e13) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_63528]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_111818,plain,+% 218.33/218.46 ( op2(e23,e23) = op2(h3(e13),h3(e13)) | e23 != h3(e13) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_104137]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_109707,plain,+% 218.33/218.46 ( X0 != e20 | h3(op1(e10,e10)) = X0 | h3(op1(e10,e10)) != e20 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_59735]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_128684,plain,+% 218.33/218.46 ( h3(op1(e10,e10)) = h1(e10)+% 218.33/218.46 | h3(op1(e10,e10)) != e20+% 218.33/218.46 | h1(e10) != e20 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_109707]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_59857,plain,+% 218.33/218.46 ( X0 != X1 | op1(e10,e12) != X1 | op1(e10,e12) = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_62921,plain,+% 218.33/218.46 ( X0 != op1(e10,X1)+% 218.33/218.46 | op1(e10,e12) = X0+% 218.33/218.46 | op1(e10,e12) != op1(e10,X1) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_59857]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_133544,plain,+% 218.33/218.46 ( op1(e10,e12) != op1(e10,op1(e10,e10))+% 218.33/218.46 | op1(e10,e12) = e10+% 218.33/218.46 | e10 != op1(e10,op1(e10,e10)) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_62921]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_15,plain,+% 218.33/218.46 ( op1(e10,e10) = e11+% 218.33/218.46 | op1(e10,e10) = e12+% 218.33/218.46 | op1(e10,e10) = e13+% 218.33/218.46 | e10 = op1(e10,e10) ),+% 218.33/218.46 inference(cnf_transformation,[],[f60]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_142,plain,+% 218.33/218.46 ( op1(e10,e10) != op1(e12,e10) ),+% 218.33/218.46 inference(cnf_transformation,[],[f157]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_16638,plain,+% 218.33/218.46 ( op1(e10,e10) != X0+% 218.33/218.46 | op1(e10,e10) = op1(e12,e10)+% 218.33/218.46 | op1(e12,e10) != X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17530,plain,+% 218.33/218.46 ( op1(e10,e10) != op1(e10,e10)+% 218.33/218.46 | op1(e10,e10) = op1(e12,e10)+% 218.33/218.46 | op1(e12,e10) != op1(e10,e10) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16638]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_24269,plain,+% 218.33/218.46 ( op1(e10,e10) != e11+% 218.33/218.46 | op1(e12,e10) = op1(e10,e10)+% 218.33/218.46 | op1(e12,e10) != e11 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_18688]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_137984,plain,+% 218.33/218.46 ( op1(e10,e10) = e12 | e10 = op1(e10,e10) ),+% 218.33/218.46 inference(global_propositional_subsumption,+% 218.33/218.46 [status(thm)],+% 218.33/218.46 [c_15,c_254,c_253,c_252,c_143,c_142,c_16545,c_17013,+% 218.33/218.46 c_17089,c_17530,c_18082,c_18166,c_19289,c_20243,c_23176,+% 218.33/218.46 c_24269,c_27674,c_32730,c_47043]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_63,plain,+% 218.33/218.46 ( op2(e20,e20) = e21+% 218.33/218.46 | op2(e20,e20) = e22+% 218.33/218.46 | op2(e20,e20) = e23+% 218.33/218.46 | e20 = op2(e20,e20) ),+% 218.33/218.46 inference(cnf_transformation,[],[f108]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_256,plain,+% 218.33/218.46 ( op2(e22,op2(e22,e22)) = e21 ),+% 218.33/218.46 inference(cnf_transformation,[],[f316]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_203,plain,+% 218.33/218.46 ( e20 != e21 ),+% 218.33/218.46 inference(cnf_transformation,[],[f258]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_191,plain,+% 218.33/218.46 ( op2(e20,e20) != op2(e21,e20) ),+% 218.33/218.46 inference(cnf_transformation,[],[f204]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_190,plain,+% 218.33/218.46 ( op2(e20,e20) != op2(e22,e20) ),+% 218.33/218.46 inference(cnf_transformation,[],[f205]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_155,plain,+% 218.33/218.46 ( op2(e22,e20) != op2(e22,e21) ),+% 218.33/218.46 inference(cnf_transformation,[],[f240]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_153,plain,+% 218.33/218.46 ( op2(e22,e20) != op2(e22,e23) ),+% 218.33/218.46 inference(cnf_transformation,[],[f242]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_77,plain,+% 218.33/218.46 ( op2(e22,e20) = e21+% 218.33/218.46 | op2(e22,e21) = e21+% 218.33/218.46 | op2(e22,e22) = e21+% 218.33/218.46 | op2(e22,e23) = e21 ),+% 218.33/218.46 inference(cnf_transformation,[],[f142]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_16660,plain,+% 218.33/218.46 ( op2(e22,e20) != X0+% 218.33/218.46 | op2(e22,e20) = op2(e22,e23)+% 218.33/218.46 | op2(e22,e23) != X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17349,plain,+% 218.33/218.46 ( op2(e22,e20) != op2(e22,e20)+% 218.33/218.46 | op2(e22,e20) = op2(e22,e23)+% 218.33/218.46 | op2(e22,e23) != op2(e22,e20) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16660]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17350,plain,+% 218.33/218.46 ( op2(e22,e20) = op2(e22,e20) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17427,plain,+% 218.33/218.46 ( e22 = e22 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17431,plain,+% 218.33/218.46 ( e21 = e21 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_16755,plain,+% 218.33/218.46 ( e20 != X0 | e20 = e21 | e21 != X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17554,plain,+% 218.33/218.46 ( e20 != op2(e22,e22) | e20 = e21 | e21 != op2(e22,e22) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16755]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17353,plain,+% 218.33/218.46 ( op2(e22,e20) = op2(X0,X1) | e20 != X1 | e22 != X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_18512,plain,+% 218.33/218.46 ( op2(e22,e20) = op2(X0,op2(e22,e22))+% 218.33/218.46 | e20 != op2(e22,e22)+% 218.33/218.46 | e22 != X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_17353]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_21159,plain,+% 218.33/218.46 ( op2(e22,e20) = op2(e22,op2(e22,e22))+% 218.33/218.46 | e20 != op2(e22,e22)+% 218.33/218.46 | e22 != e22 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_18512]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17336,plain,+% 218.33/218.46 ( X0 != X1 | op2(e22,e21) != X1 | op2(e22,e21) = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_18960,plain,+% 218.33/218.46 ( X0 != e21 | op2(e22,e21) = X0 | op2(e22,e21) != e21 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_17336]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_21422,plain,+% 218.33/218.46 ( op2(e22,op2(e22,e22)) != e21+% 218.33/218.46 | op2(e22,e21) = op2(e22,op2(e22,e22))+% 218.33/218.46 | op2(e22,e21) != e21 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_18960]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_16734,plain,+% 218.33/218.46 ( op2(e20,e20) != X0+% 218.33/218.46 | op2(e20,e20) = op2(e22,e20)+% 218.33/218.46 | op2(e22,e20) != X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_22470,plain,+% 218.33/218.46 ( op2(e20,e20) = op2(e22,e20)+% 218.33/218.46 | op2(e20,e20) != e21+% 218.33/218.46 | op2(e22,e20) != e21 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16734]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_16664,plain,+% 218.33/218.46 ( op2(e22,e20) != X0+% 218.33/218.46 | op2(e22,e20) = op2(e22,e21)+% 218.33/218.46 | op2(e22,e21) != X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_26105,plain,+% 218.33/218.46 ( op2(e22,e20) != op2(e22,op2(e22,e22))+% 218.33/218.46 | op2(e22,e20) = op2(e22,e21)+% 218.33/218.46 | op2(e22,e21) != op2(e22,op2(e22,e22)) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16664]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17717,plain,+% 218.33/218.46 ( op2(e22,e20) != X0+% 218.33/218.46 | op2(e22,e23) != X0+% 218.33/218.46 | op2(e22,e23) = op2(e22,e20) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_26103,plain,+% 218.33/218.46 ( op2(e22,e20) != op2(e22,op2(e22,e22))+% 218.33/218.46 | op2(e22,e23) != op2(e22,op2(e22,e22))+% 218.33/218.46 | op2(e22,e23) = op2(e22,e20) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_17717]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_17432,plain,+% 218.33/218.46 ( X0 != X1 | e21 != X1 | e21 = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_19525,plain,+% 218.33/218.46 ( X0 != e21 | e21 = X0 | e21 != e21 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_17432]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_26610,plain,+% 218.33/218.46 ( op2(e22,op2(e22,e22)) != e21+% 218.33/218.46 | e21 = op2(e22,op2(e22,e22))+% 218.33/218.46 | e21 != e21 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_19525]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_30578,plain,+% 218.33/218.46 ( X0 != X1 | op2(e20,e20) != X1 | op2(e20,e20) = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_31833,plain,+% 218.33/218.46 ( X0 != e23 | op2(e20,e20) = X0 | op2(e20,e20) != e23 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_30578]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_33893,plain,+% 218.33/218.46 ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != e23+% 218.33/218.46 | op2(e20,e20) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.33/218.46 | op2(e20,e20) != e23 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_31833]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_30606,plain,+% 218.33/218.46 ( X0 != X1 | op2(e22,e23) != X1 | op2(e22,e23) = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_32015,plain,+% 218.33/218.46 ( X0 != e21 | op2(e22,e23) = X0 | op2(e22,e23) != e21 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_30606]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_34088,plain,+% 218.33/218.46 ( op2(e22,op2(e22,e22)) != e21+% 218.33/218.46 | op2(e22,e23) = op2(e22,op2(e22,e22))+% 218.33/218.46 | op2(e22,e23) != e21 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_32015]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_30267,plain,+% 218.33/218.46 ( X0 != X1 | e21 != X1 | e21 = X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_31484,plain,+% 218.33/218.46 ( X0 != e21 | e21 = X0 | e21 != e21 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_30267]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_36100,plain,+% 218.33/218.46 ( op2(e22,e22) != e21 | e21 = op2(e22,e22) | e21 != e21 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_31484]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_30199,plain,+% 218.33/218.46 ( op2(e21,e20) = op2(X0,X1) | e20 != X1 | e21 != X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_31178,plain,+% 218.33/218.46 ( op2(e21,e20) = op2(X0,op2(e22,e22))+% 218.33/218.46 | e20 != op2(e22,e22)+% 218.33/218.46 | e21 != X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_30199]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_38580,plain,+% 218.33/218.46 ( op2(e21,e20) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.33/218.46 | e20 != op2(e22,e22)+% 218.33/218.46 | e21 != op2(e22,op2(e22,e22)) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_31178]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_29617,plain,+% 218.33/218.46 ( op2(e20,e20) != X0+% 218.33/218.46 | op2(e20,e20) = op2(e21,e20)+% 218.33/218.46 | op2(e21,e20) != X0 ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.33/218.46 +% 218.33/218.46 cnf(c_39778,plain,+% 218.33/218.46 ( op2(e20,e20) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.33/218.46 | op2(e20,e20) = op2(e21,e20)+% 218.33/218.46 | op2(e21,e20) != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 218.33/218.46 inference(instantiation,[status(thm)],[c_29617]) ).+% 218.33/218.46 +% 218.37/218.47 cnf(c_138058,plain,+% 218.37/218.47 ( op2(e20,e20) = e22 | e20 = op2(e20,e20) ),+% 218.37/218.47 inference(global_propositional_subsumption,+% 218.37/218.47 [status(thm)],+% 218.37/218.47 [c_63,c_257,c_256,c_255,c_203,c_191,c_190,c_155,c_153,+% 218.37/218.47 c_77,c_17349,c_17350,c_17427,c_17431,c_17554,c_21159,+% 218.37/218.47 c_21422,c_22470,c_26105,c_26103,c_26610,c_33893,c_34088,+% 218.37/218.47 c_36100,c_38580,c_39778]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_138616,plain,+% 218.37/218.47 ( op1(e10,e12) = op1(X0,X1) | e10 != X0 | e12 != X1 ),+% 218.37/218.47 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_140056,plain,+% 218.37/218.47 ( op1(e10,e12) = op1(e10,X0) | e10 != e10 | e12 != X0 ),+% 218.37/218.47 inference(instantiation,[status(thm)],[c_138616]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_17072,plain,+% 218.37/218.47 ( op1(e10,e12) = op1(X0,X1) | e10 != X0 | e12 != X1 ),+% 218.37/218.47 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_18322,plain,+% 218.37/218.47 ( op1(e10,e12) = op1(e10,X0) | e10 != e10 | e12 != X0 ),+% 218.37/218.47 inference(instantiation,[status(thm)],[c_17072]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_142534,plain,+% 218.37/218.47 ( op1(e10,e12) = op1(e10,X0) | e12 != X0 ),+% 218.37/218.47 inference(global_propositional_subsumption,+% 218.37/218.47 [status(thm)],+% 218.37/218.47 [c_140056,c_17146,c_18322]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_204646,plain,+% 218.37/218.47 ( op1(e10,e12) = op1(e10,op1(e10,e10)) | e12 != op1(e10,e10) ),+% 218.37/218.47 inference(instantiation,[status(thm)],[c_142534]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_224706,plain,+% 218.37/218.47 ( X0 != h3(e12) | X0 = e22 ),+% 218.37/218.47 inference(resolution,[status(thm)],[c_16532,c_269]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_224868,plain,+% 218.37/218.47 ( h3(e12) = e22 ),+% 218.37/218.47 inference(resolution,[status(thm)],[c_224706,c_16531]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_225304,plain,+% 218.37/218.47 ( op1(e10,e12) != X0+% 218.37/218.47 | op1(e10,e12) = op1(e12,e12)+% 218.37/218.47 | op1(e12,e12) != X0 ),+% 218.37/218.47 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_138184,plain,+% 218.37/218.47 ( op1(e10,e12) != X0+% 218.37/218.47 | op1(e10,e12) = op1(e12,e12)+% 218.37/218.47 | op1(e12,e12) != X0 ),+% 218.37/218.47 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_130,plain,+% 218.37/218.47 ( op1(e10,e12) != op1(e12,e12) ),+% 218.37/218.47 inference(cnf_transformation,[],[f169]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_16614,plain,+% 218.37/218.47 ( op1(e10,e12) != X0+% 218.37/218.47 | op1(e10,e12) = op1(e12,e12)+% 218.37/218.47 | op1(e12,e12) != X0 ),+% 218.37/218.47 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.47 +% 218.37/218.47 cnf(c_138742,plain,+% 218.37/218.47 ( op1(e10,e12) != X0 | op1(e12,e12) != X0 ),+% 218.37/218.47 inference(global_propositional_subsumption,+% 218.37/218.47 [status(thm)],+% 218.37/218.47 [c_138184,c_130,c_16614]) ).+% 218.37/218.47 +% 218.37/218.48 cnf(c_225807,plain,+% 218.37/218.48 ( op1(e10,e12) != X0 | op1(e12,e12) != X0 ),+% 218.37/218.48 inference(global_propositional_subsumption,+% 218.37/218.48 [status(thm)],+% 218.37/218.48 [c_225304,c_130,c_16614]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_229253,plain,+% 218.37/218.48 ( op1(e10,e12) != e10 | op1(e12,e12) != e10 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_225807]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_224715,plain,+% 218.37/218.48 ( X0 != X1 | X2 != h3(X1) | X2 = h3(X0) ),+% 218.37/218.48 inference(resolution,[status(thm)],[c_16532,c_16537]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_239334,plain,+% 218.37/218.48 ( X0 != X1 | X2 != X1 | h3(X2) = h3(X0) ),+% 218.37/218.48 inference(resolution,[status(thm)],[c_224715,c_16537]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_0,plain,+% 218.37/218.48 ( op1(e13,e13) = e11+% 218.37/218.48 | op1(e13,e13) = e12+% 218.37/218.48 | op1(e13,e13) = e13+% 218.37/218.48 | e10 = op1(e13,e13) ),+% 218.37/218.48 inference(cnf_transformation,[],[f75]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_16538,plain,( X0 != X1 | h4(X0) = h4(X1) ),theory(equality) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_141513,plain,+% 218.37/218.48 ( X0 != op1(X1,X2) | h4(X0) = h4(op1(X1,X2)) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16538]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_174693,plain,+% 218.37/218.48 ( X0 != op1(e12,op1(e10,e12))+% 218.37/218.48 | h4(X0) = h4(op1(e12,op1(e10,e12))) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_141513]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_188127,plain,+% 218.37/218.48 ( op1(e13,e13) != op1(e12,op1(e10,e12))+% 218.37/218.48 | h4(op1(e13,e13)) = h4(op1(e12,op1(e10,e12))) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_174693]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_118,plain,+% 218.37/218.48 ( op1(e10,e10) != op1(e10,e12) ),+% 218.37/218.48 inference(cnf_transformation,[],[f181]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_114,plain,+% 218.37/218.48 ( op1(e10,e12) != op1(e10,e13) ),+% 218.37/218.48 inference(cnf_transformation,[],[f185]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_16590,plain,+% 218.37/218.48 ( op1(e10,e10) != X0+% 218.37/218.48 | op1(e10,e10) = op1(e10,e12)+% 218.37/218.48 | op1(e10,e12) != X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_16591,plain,+% 218.37/218.48 ( op1(e10,e10) = op1(e10,e12)+% 218.37/218.48 | op1(e10,e10) != e12+% 218.37/218.48 | op1(e10,e12) != e12 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16590]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_16582,plain,+% 218.37/218.48 ( op1(e10,e12) != X0+% 218.37/218.48 | op1(e10,e12) = op1(e10,e13)+% 218.37/218.48 | op1(e10,e13) != X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17067,plain,+% 218.37/218.48 ( op1(e10,e12) = op1(e10,e13)+% 218.37/218.48 | op1(e10,e12) != e11+% 218.37/218.48 | op1(e10,e13) != e11 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16582]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_13,plain,+% 218.37/218.48 ( op1(e10,e12) = e11+% 218.37/218.48 | op1(e10,e12) = e12+% 218.37/218.48 | op1(e10,e12) = e13+% 218.37/218.48 | e10 = op1(e10,e12) ),+% 218.37/218.48 inference(cnf_transformation,[],[f62]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_144676,plain,+% 218.37/218.48 ( op1(e10,e12) = e10 | e10 != op1(e10,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_141414]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_197,plain,+% 218.37/218.48 ( e10 != e11 ),+% 218.37/218.48 inference(cnf_transformation,[],[f252]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_193,plain,+% 218.37/218.48 ( e11 != e13 ),+% 218.37/218.48 inference(cnf_transformation,[],[f256]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_110,plain,+% 218.37/218.48 ( op1(e11,e11) != op1(e11,e12) ),+% 218.37/218.48 inference(cnf_transformation,[],[f189]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_109,plain,+% 218.37/218.48 ( op1(e11,e11) != op1(e11,e13) ),+% 218.37/218.48 inference(cnf_transformation,[],[f190]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_106,plain,+% 218.37/218.48 ( op1(e12,e10) != op1(e12,e12) ),+% 218.37/218.48 inference(cnf_transformation,[],[f193]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_99,plain,+% 218.37/218.48 ( op1(e13,e10) != op1(e13,e13) ),+% 218.37/218.48 inference(cnf_transformation,[],[f200]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_46,plain,+% 218.37/218.48 ( e10 = op1(e10,e10)+% 218.37/218.48 | e10 = op1(e11,e10)+% 218.37/218.48 | e10 = op1(e12,e10)+% 218.37/218.48 | e10 = op1(e13,e10) ),+% 218.37/218.48 inference(cnf_transformation,[],[f77]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_28,plain,+% 218.37/218.48 ( op1(e10,e12) = e11+% 218.37/218.48 | op1(e11,e12) = e11+% 218.37/218.48 | op1(e12,e12) = e11+% 218.37/218.48 | op1(e13,e12) = e11 ),+% 218.37/218.48 inference(cnf_transformation,[],[f95]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_26,plain,+% 218.37/218.48 ( op1(e10,e12) = e12+% 218.37/218.48 | op1(e11,e12) = e12+% 218.37/218.48 | op1(e12,e12) = e12+% 218.37/218.48 | op1(e13,e12) = e12 ),+% 218.37/218.48 inference(cnf_transformation,[],[f97]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_22,plain,+% 218.37/218.48 ( e10 = op1(e10,e13)+% 218.37/218.48 | e10 = op1(e11,e13)+% 218.37/218.48 | e10 = op1(e12,e13)+% 218.37/218.48 | e10 = op1(e13,e13) ),+% 218.37/218.48 inference(cnf_transformation,[],[f101]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_10,plain,+% 218.37/218.48 ( op1(e11,e11) = e11+% 218.37/218.48 | op1(e11,e11) = e12+% 218.37/218.48 | op1(e11,e11) = e13+% 218.37/218.48 | e10 = op1(e11,e11) ),+% 218.37/218.48 inference(cnf_transformation,[],[f65]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17006,plain,+% 218.37/218.48 ( op1(e12,e10) = op1(e12,e10) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17034,plain,+% 218.37/218.48 ( op1(e11,e11) = op1(e11,e11) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17110,plain,+% 218.37/218.48 ( op1(e11,e13) = op1(e11,e13) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17310,plain,+% 218.37/218.48 ( e10 != op1(e12,e12) | e10 = e12 | e12 != op1(e12,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16743]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_16744,plain,+% 218.37/218.48 ( e10 != X0 | e10 = e11 | e11 != X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17324,plain,+% 218.37/218.48 ( e10 != op1(e12,e12) | e10 = e11 | e11 != op1(e12,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16744]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_16574,plain,+% 218.37/218.48 ( op1(e11,e11) != X0+% 218.37/218.48 | op1(e11,e11) = op1(e11,e12)+% 218.37/218.48 | op1(e11,e12) != X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17461,plain,+% 218.37/218.48 ( op1(e11,e11) != op1(e11,e11)+% 218.37/218.48 | op1(e11,e11) = op1(e11,e12)+% 218.37/218.48 | op1(e11,e12) != op1(e11,e11) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16574]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17502,plain,+% 218.37/218.48 ( e10 != op1(e10,e12) | e10 = e13 | e13 != op1(e10,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16742]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17501,plain,+% 218.37/218.48 ( e10 != op1(e10,e12) | e10 = e12 | e12 != op1(e10,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16743]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17500,plain,+% 218.37/218.48 ( e10 != op1(e10,e12) | e10 = e11 | e11 != op1(e10,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16744]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17668,plain,+% 218.37/218.48 ( op1(e13,e12) != X0 | e12 != X0 | e12 = op1(e13,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17669,plain,+% 218.37/218.48 ( op1(e13,e12) != e12 | e12 = op1(e13,e12) | e12 != e12 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_17668]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17674,plain,+% 218.37/218.48 ( op1(e12,e12) != X0 | e12 != X0 | e12 = op1(e12,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17675,plain,+% 218.37/218.48 ( op1(e12,e12) != e12 | e12 = op1(e12,e12) | e12 != e12 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_17674]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_20240,plain,+% 218.37/218.48 ( op1(e10,e12) != e11 | e11 = op1(e10,e12) | e11 != e11 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_18197]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17030,plain,+% 218.37/218.48 ( X0 != X1 | op1(e11,e13) != X1 | op1(e11,e13) = X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_18203,plain,+% 218.37/218.48 ( X0 != op1(e11,e13)+% 218.37/218.48 | op1(e11,e13) = X0+% 218.37/218.48 | op1(e11,e13) != op1(e11,e13) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_17030]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_20257,plain,+% 218.37/218.48 ( op1(e11,e13) != op1(e11,e13)+% 218.37/218.48 | op1(e11,e13) = e10+% 218.37/218.48 | e10 != op1(e11,e13) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_18203]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_20463,plain,+% 218.37/218.48 ( X0 != X1 | X0 = op1(e10,e12) | op1(e10,e12) != X1 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_20464,plain,+% 218.37/218.48 ( op1(e10,e12) != e12 | e12 = op1(e10,e12) | e12 != e12 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_20463]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_17035,plain,+% 218.37/218.48 ( X0 != X1 | op1(e11,e11) != X1 | op1(e11,e11) = X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_18219,plain,+% 218.37/218.48 ( X0 != op1(e11,e11)+% 218.37/218.48 | op1(e11,e11) = X0+% 218.37/218.48 | op1(e11,e11) != op1(e11,e11) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_17035]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_24898,plain,+% 218.37/218.48 ( op1(e11,e11) != op1(e11,e11)+% 218.37/218.48 | op1(e11,e11) = e10+% 218.37/218.48 | e10 != op1(e11,e11) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_18219]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_16566,plain,+% 218.37/218.48 ( op1(e12,e10) != X0+% 218.37/218.48 | op1(e12,e10) = op1(e12,e12)+% 218.37/218.48 | op1(e12,e12) != X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_24942,plain,+% 218.37/218.48 ( op1(e12,e10) = op1(e12,e12)+% 218.37/218.48 | op1(e12,e10) != e10+% 218.37/218.48 | op1(e12,e12) != e10 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16566]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_24967,plain,+% 218.37/218.48 ( op1(e12,e12) != e11 | e11 = op1(e12,e12) | e11 != e11 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_18197]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_18151,plain,+% 218.37/218.48 ( X0 != op1(e12,e10)+% 218.37/218.48 | op1(e12,e10) = X0+% 218.37/218.48 | op1(e12,e10) != op1(e12,e10) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_17007]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_28850,plain,+% 218.37/218.48 ( op1(e12,e10) != op1(e12,e10)+% 218.37/218.48 | op1(e12,e10) = e10+% 218.37/218.48 | e10 != op1(e12,e10) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_18151]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_29874,plain,+% 218.37/218.48 ( X0 != X1 | e11 != X1 | e11 = X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_30911,plain,+% 218.37/218.48 ( X0 != e11 | e11 = X0 | e11 != e11 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_29874]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_32466,plain,+% 218.37/218.48 ( op1(e13,e12) != e11 | e11 = op1(e13,e12) | e11 != e11 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_30911]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_29915,plain,+% 218.37/218.48 ( X0 != X1 | op1(e10,e12) != X1 | op1(e10,e12) = X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_30969,plain,+% 218.37/218.48 ( X0 != op1(e10,e12)+% 218.37/218.48 | op1(e10,e12) = X0+% 218.37/218.48 | op1(e10,e12) != op1(e10,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_29915]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_32836,plain,+% 218.37/218.48 ( op1(e10,e12) != op1(e10,e12)+% 218.37/218.48 | op1(e10,e12) = e10+% 218.37/218.48 | e10 != op1(e10,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_30969]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_29525,plain,+% 218.37/218.48 ( op1(e13,e10) != X0+% 218.37/218.48 | op1(e13,e10) = op1(e13,e13)+% 218.37/218.48 | op1(e13,e13) != X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_36430,plain,+% 218.37/218.48 ( op1(e13,e10) = op1(e13,e13)+% 218.37/218.48 | op1(e13,e10) != e10+% 218.37/218.48 | op1(e13,e13) != e10 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_29525]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_29535,plain,+% 218.37/218.48 ( op1(e11,e11) != X0+% 218.37/218.48 | op1(e11,e11) = op1(e11,e13)+% 218.37/218.48 | op1(e11,e13) != X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_36533,plain,+% 218.37/218.48 ( op1(e11,e11) = op1(e11,e13)+% 218.37/218.48 | op1(e11,e11) != e10+% 218.37/218.48 | op1(e11,e13) != e10 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_29535]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_55736,plain,+% 218.37/218.48 ( op1(e13,e12) != e13 | e13 = op1(e13,e12) | e13 != e13 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_31610]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_59562,plain,+% 218.37/218.48 ( e11 != X0 | e11 = e13 | e13 != X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_62440,plain,+% 218.37/218.48 ( e11 != op1(e13,e12) | e11 = e13 | e13 != op1(e13,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_59562]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_60806,plain,+% 218.37/218.48 ( op1(X0,X1) != X2+% 218.37/218.48 | op1(e11,e12) != X2+% 218.37/218.48 | op1(e11,e12) = op1(X0,X1) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_65626,plain,+% 218.37/218.48 ( op1(e11,e11) != e11+% 218.37/218.48 | op1(e11,e12) = op1(e11,e11)+% 218.37/218.48 | op1(e11,e12) != e11 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_60806]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_88332,plain,+% 218.37/218.48 ( e12 != op1(e13,e12) | e12 = e13 | e13 != op1(e13,e12) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_59561]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_138164,plain,+% 218.37/218.48 ( op1(e11,e11) != X0+% 218.37/218.48 | op1(e11,e11) = op1(e11,e12)+% 218.37/218.48 | op1(e11,e12) != X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_138571,plain,+% 218.37/218.48 ( op1(e11,e11) != X0 | op1(e11,e12) != X0 ),+% 218.37/218.48 inference(global_propositional_subsumption,+% 218.37/218.48 [status(thm)],+% 218.37/218.48 [c_138164,c_110,c_16574]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_138573,plain,+% 218.37/218.48 ( op1(e11,e11) != e12 | op1(e11,e12) != e12 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_138571]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_138472,plain,+% 218.37/218.48 ( X0 != X1 | op1(e13,e13) != X1 | op1(e13,e13) = X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_139917,plain,+% 218.37/218.48 ( X0 != op1(e13,e13)+% 218.37/218.48 | op1(e13,e13) = X0+% 218.37/218.48 | op1(e13,e13) != op1(e13,e13) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_138472]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_16976,plain,+% 218.37/218.48 ( X0 != X1 | op1(e13,e13) != X1 | op1(e13,e13) = X0 ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_18100,plain,+% 218.37/218.48 ( X0 != op1(e13,e13)+% 218.37/218.48 | op1(e13,e13) = X0+% 218.37/218.48 | op1(e13,e13) != op1(e13,e13) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16976]) ).+% 218.37/218.48 +% 218.37/218.48 cnf(c_18101,plain,+% 218.37/218.48 ( op1(e13,e13) = op1(e13,e13) ),+% 218.37/218.48 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.37/218.48 +% 218.37/218.49 cnf(c_141159,plain,+% 218.37/218.49 ( op1(e13,e13) = X0 | X0 != op1(e13,e13) ),+% 218.37/218.49 inference(global_propositional_subsumption,+% 218.37/218.49 [status(thm)],+% 218.37/218.49 [c_139917,c_18100,c_18101]) ).+% 218.37/218.49 +% 218.37/218.49 cnf(c_141160,plain,+% 218.37/218.49 ( X0 != op1(e13,e13) | op1(e13,e13) = X0 ),+% 218.37/218.49 inference(renaming,[status(thm)],[c_141159]) ).+% 218.37/218.49 +% 218.37/218.49 cnf(c_144662,plain,+% 218.37/218.49 ( op1(e13,e13) = e10 | e10 != op1(e13,e13) ),+% 218.37/218.49 inference(instantiation,[status(thm)],[c_141160]) ).+% 218.37/218.49 +% 218.37/218.49 cnf(c_138172,plain,+% 218.37/218.49 ( op1(e10,e10) != X0+% 218.37/218.49 | op1(e10,e10) = op1(e10,e12)+% 218.37/218.49 | op1(e10,e12) != X0 ),+% 218.37/218.49 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.49 +% 218.37/218.49 cnf(c_138643,plain,+% 218.37/218.49 ( op1(e10,e10) != X0 | op1(e10,e12) != X0 ),+% 218.37/218.49 inference(global_propositional_subsumption,+% 218.37/218.49 [status(thm)],+% 218.37/218.49 [c_138172,c_118,c_16590]) ).+% 218.37/218.49 +% 218.37/218.49 cnf(c_148725,plain,+% 218.37/218.49 ( op1(e10,e10) != e10 | op1(e10,e12) != e10 ),+% 218.37/218.49 inference(instantiation,[status(thm)],[c_138643]) ).+% 218.37/218.49 +% 218.37/218.49 cnf(c_151062,plain,+% 218.37/218.49 ( e10 != op1(e10,e12) ),+% 218.37/218.49 inference(global_propositional_subsumption,+% 218.37/218.49 [status(thm)],+% 218.37/218.49 [c_144676,c_254,c_253,c_252,c_235,c_234,c_232,c_228,+% 218.37/218.49 c_226,c_224,c_221,c_197,c_196,c_195,c_194,c_193,c_192,+% 218.37/218.49 c_143,c_140,c_139,c_135,c_128,c_126,c_124,c_120,c_113,+% 218.37/218.49 c_112,c_110,c_109,c_107,c_106,c_104,c_103,c_102,c_99,+% 218.37/218.49 c_46,c_41,c_39,c_28,c_26,c_24,c_23,c_22,c_10,c_6,+% 218.37/218.49 c_16539,c_16545,c_16561,c_16958,c_17006,c_17013,c_17034,+% 218.37/218.49 c_17059,c_17069,c_17089,c_17105,c_17110,c_17146,c_17196,+% 218.37/218.49 c_17224,c_17310,c_17316,c_17324,c_17461,c_17467,c_17502,+% 218.37/218.49 c_17501,c_17500,c_17669,c_17675,c_17685,c_18082,c_18107,+% 218.37/218.49 c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,+% 218.37/218.49 c_20081,c_20144,c_20240,c_20243,c_20257,c_20396,c_20399,+% 218.37/218.49 c_20440,c_20464,c_21221,c_21647,c_21699,c_23054,c_23127,+% 218.37/218.49 c_23126,c_23125,c_23124,c_23181,c_23176,c_24872,c_24898,+% 218.37/218.49 c_24942,c_24967,c_27071,c_27668,c_27669,c_27672,c_27673,+% 218.37/218.49 c_27674,c_28850,c_29140,c_29185,c_29228,c_31852,c_31860,+% 218.37/218.49 c_31892,c_31942,c_32466,c_32502,c_32730,c_32836,c_35127,+% 218.37/218.49 c_36430,c_36527,c_36533,c_45564,c_47043,c_49848,c_55736,+% 218.37/218.49 c_62414,c_62440,c_65626,c_66850,c_72084,c_75243,c_88332,+% 218.37/218.49 c_133487,c_137595,c_137971,c_137988,c_138028,c_138573,+% 218.37/218.49 c_142352,c_144212,c_144662,c_148725]) ).+% 218.37/218.49 +% 218.37/218.50 cnf(c_154195,plain,+% 218.37/218.50 ( op1(e10,e12) = e13 | op1(e10,e12) = e12 | op1(e10,e12) = e11 ),+% 218.37/218.50 inference(global_propositional_subsumption,+% 218.37/218.50 [status(thm)],+% 218.37/218.50 [c_13,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,+% 218.37/218.50 c_224,c_221,c_197,c_196,c_195,c_194,c_193,c_192,c_143,+% 218.37/218.50 c_140,c_139,c_135,c_128,c_126,c_124,c_120,c_113,c_112,+% 218.37/218.50 c_110,c_109,c_107,c_106,c_104,c_103,c_102,c_99,c_46,+% 218.37/218.50 c_41,c_39,c_28,c_26,c_24,c_23,c_22,c_10,c_6,c_16539,+% 218.37/218.50 c_16545,c_16561,c_16958,c_17006,c_17013,c_17034,c_17059,+% 218.37/218.50 c_17069,c_17089,c_17105,c_17110,c_17146,c_17196,c_17224,+% 218.37/218.50 c_17310,c_17316,c_17324,c_17461,c_17467,c_17502,c_17501,+% 218.37/218.50 c_17500,c_17669,c_17675,c_17685,c_18082,c_18107,c_18140,+% 218.37/218.50 c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,+% 218.37/218.50 c_20144,c_20240,c_20243,c_20257,c_20396,c_20399,c_20440,+% 218.37/218.50 c_20464,c_21221,c_21647,c_21699,c_23054,c_23127,c_23126,+% 218.37/218.50 c_23125,c_23124,c_23181,c_23176,c_24872,c_24898,c_24942,+% 218.37/218.50 c_24967,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,+% 218.37/218.50 c_28850,c_29140,c_29185,c_29228,c_31852,c_31860,c_31892,+% 218.37/218.50 c_31942,c_32466,c_32502,c_32730,c_32836,c_35127,c_36430,+% 218.37/218.50 c_36527,c_36533,c_45564,c_47043,c_49848,c_55736,c_62414,+% 218.37/218.50 c_62440,c_65626,c_66850,c_72084,c_75243,c_88332,+% 218.37/218.50 c_133487,c_137595,c_137971,c_137988,c_138028,c_138573,+% 218.37/218.50 c_142352,c_144212,c_144662,c_148725]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_154196,plain,+% 218.37/218.50 ( op1(e10,e12) = e11 | op1(e10,e12) = e12 | op1(e10,e12) = e13 ),+% 218.37/218.50 inference(renaming,[status(thm)],[c_154195]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_139936,plain,+% 218.37/218.50 ( op1(X0,X1) != X2+% 218.37/218.50 | op1(e12,e13) != X2+% 218.37/218.50 | op1(e12,e13) = op1(X0,X1) ),+% 218.37/218.50 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_145843,plain,+% 218.37/218.50 ( op1(e12,op1(e10,e12)) != e12+% 218.37/218.50 | op1(e12,e13) = op1(e12,op1(e10,e12))+% 218.37/218.50 | op1(e12,e13) != e12 ),+% 218.37/218.50 inference(instantiation,[status(thm)],[c_139936]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_60755,plain,+% 218.37/218.50 ( op1(X0,X1) != X2+% 218.37/218.50 | op1(e12,e13) != X2+% 218.37/218.50 | op1(e12,e13) = op1(X0,X1) ),+% 218.37/218.50 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_65489,plain,+% 218.37/218.50 ( op1(e12,op1(e10,e12)) != e12+% 218.37/218.50 | op1(e12,e13) = op1(e12,op1(e10,e12))+% 218.37/218.50 | op1(e12,e13) != e12 ),+% 218.37/218.50 inference(instantiation,[status(thm)],[c_60755]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_157387,plain,+% 218.37/218.50 ( op1(e12,e13) = op1(e12,op1(e10,e12)) | op1(e12,e13) != e12 ),+% 218.37/218.50 inference(global_propositional_subsumption,+% 218.37/218.50 [status(thm)],+% 218.37/218.50 [c_145843,c_254,c_253,c_252,c_235,c_234,c_232,c_229,+% 218.37/218.50 c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_128,+% 218.37/218.50 c_126,c_39,c_23,c_16539,c_16545,c_16958,c_17013,c_17146,+% 218.37/218.50 c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,+% 218.37/218.50 c_18206,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,+% 218.37/218.50 c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,+% 218.37/218.50 c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,+% 218.37/218.50 c_45564,c_47043,c_49848,c_62414,c_65489,c_66850,c_72084,+% 218.37/218.50 c_133487,c_137595,c_138028,c_142352,c_144212]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_139924,plain,+% 218.37/218.50 ( op1(X0,X1) != X2+% 218.37/218.50 | op1(e13,e10) != X2+% 218.37/218.50 | op1(e13,e10) = op1(X0,X1) ),+% 218.37/218.50 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_145844,plain,+% 218.37/218.50 ( op1(e12,op1(e10,e12)) != e12+% 218.37/218.50 | op1(e13,e10) = op1(e12,op1(e10,e12))+% 218.37/218.50 | op1(e13,e10) != e12 ),+% 218.37/218.50 inference(instantiation,[status(thm)],[c_139924]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_60743,plain,+% 218.37/218.50 ( op1(X0,X1) != X2+% 218.37/218.50 | op1(e13,e10) != X2+% 218.37/218.50 | op1(e13,e10) = op1(X0,X1) ),+% 218.37/218.50 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_65490,plain,+% 218.37/218.50 ( op1(e12,op1(e10,e12)) != e12+% 218.37/218.50 | op1(e13,e10) = op1(e12,op1(e10,e12))+% 218.37/218.50 | op1(e13,e10) != e12 ),+% 218.37/218.50 inference(instantiation,[status(thm)],[c_60743]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_157416,plain,+% 218.37/218.50 ( op1(e13,e10) = op1(e12,op1(e10,e12)) | op1(e13,e10) != e12 ),+% 218.37/218.50 inference(global_propositional_subsumption,+% 218.37/218.50 [status(thm)],+% 218.37/218.50 [c_145844,c_254,c_253,c_252,c_235,c_234,c_232,c_229,+% 218.37/218.50 c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_128,+% 218.37/218.50 c_126,c_39,c_23,c_16539,c_16545,c_16958,c_17013,c_17146,+% 218.37/218.50 c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,+% 218.37/218.50 c_18206,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,+% 218.37/218.50 c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,+% 218.37/218.50 c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,+% 218.37/218.50 c_45564,c_47043,c_49848,c_62414,c_65490,c_66850,c_72084,+% 218.37/218.50 c_133487,c_137595,c_138028,c_142352,c_144212]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_138153,plain,+% 218.37/218.50 ( op1(e13,e10) != X0+% 218.37/218.50 | op1(e13,e10) = op1(e13,e13)+% 218.37/218.50 | op1(e13,e13) != X0 ),+% 218.37/218.50 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.50 +% 218.37/218.50 cnf(c_16552,plain,+% 218.37/218.50 ( op1(e13,e10) != X0+% 218.37/218.50 | op1(e13,e10) = op1(e13,e13)+% 218.37/218.50 | op1(e13,e13) != X0 ),+% 218.37/218.50 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.50 +% 218.37/218.51 cnf(c_138467,plain,+% 218.37/218.51 ( op1(e13,e10) != X0 | op1(e13,e13) != X0 ),+% 218.37/218.51 inference(global_propositional_subsumption,+% 218.37/218.51 [status(thm)],+% 218.37/218.51 [c_138153,c_99,c_16552]) ).+% 218.37/218.51 +% 218.37/218.51 cnf(c_138473,plain,+% 218.37/218.51 ( op1(e13,e10) != op1(X0,X1) | op1(e13,e13) != op1(X0,X1) ),+% 218.37/218.51 inference(instantiation,[status(thm)],[c_138467]) ).+% 218.37/218.51 +% 218.37/218.51 cnf(c_157419,plain,+% 218.37/218.51 ( op1(e13,e10) != op1(e12,op1(e10,e12))+% 218.37/218.51 | op1(e13,e13) != op1(e12,op1(e10,e12)) ),+% 218.37/218.51 inference(instantiation,[status(thm)],[c_138473]) ).+% 218.37/218.51 +% 218.37/218.51 cnf(c_138177,plain,+% 218.37/218.51 ( op1(e10,e13) != X0+% 218.37/218.51 | op1(e10,e13) = op1(e13,e13)+% 218.37/218.51 | op1(e13,e13) != X0 ),+% 218.37/218.51 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.51 +% 218.37/218.51 cnf(c_16600,plain,+% 218.37/218.51 ( op1(e10,e13) != X0+% 218.37/218.51 | op1(e10,e13) = op1(e13,e13)+% 218.37/218.51 | op1(e13,e13) != X0 ),+% 218.37/218.51 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.51 +% 218.37/218.51 cnf(c_138683,plain,+% 218.37/218.51 ( op1(e10,e13) != X0 | op1(e13,e13) != X0 ),+% 218.37/218.51 inference(global_propositional_subsumption,+% 218.37/218.51 [status(thm)],+% 218.37/218.51 [c_138177,c_123,c_16600]) ).+% 218.37/218.51 +% 218.37/218.51 cnf(c_174321,plain,+% 218.37/218.51 ( op1(e10,e13) != op1(e12,op1(e10,e12))+% 218.37/218.51 | op1(e13,e13) != op1(e12,op1(e10,e12)) ),+% 218.37/218.51 inference(instantiation,[status(thm)],[c_138683]) ).+% 218.37/218.51 +% 218.37/218.52 cnf(c_215214,plain,+% 218.37/218.52 ( op1(e13,e13) != op1(e12,op1(e10,e12)) ),+% 218.37/218.52 inference(global_propositional_subsumption,+% 218.37/218.52 [status(thm)],+% 218.37/218.52 [c_188127,c_254,c_253,c_252,c_235,c_234,c_232,c_228,+% 218.37/218.52 c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_128,+% 218.37/218.52 c_126,c_124,c_118,c_114,c_39,c_23,c_12,c_16539,c_16545,+% 218.37/218.52 c_16591,c_16958,c_17013,c_17067,c_17146,c_17224,c_17316,+% 218.37/218.52 c_17467,c_17685,c_18082,c_18107,c_18166,c_18206,c_19077,+% 218.37/218.52 c_19078,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,+% 218.37/218.52 c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,+% 218.37/218.52 c_27669,c_27672,c_27673,c_27674,c_29140,c_29185,c_29228,+% 218.37/218.52 c_31852,c_31860,c_32730,c_35127,c_45564,c_47043,c_49848,+% 218.37/218.52 c_62414,c_63779,c_66850,c_72084,c_75243,c_133487,+% 218.37/218.52 c_137595,c_137971,c_138028,c_142352,c_144212,c_154196,+% 218.37/218.52 c_157387,c_157416,c_157419,c_174274,c_174318,c_174321]) ).+% 218.37/218.52 +% 218.37/218.52 cnf(c_224827,plain,+% 218.37/218.52 ( op1(e13,e13) = e11 | op1(e13,e13) = e13 | e10 = op1(e13,e13) ),+% 218.37/218.52 inference(global_propositional_subsumption,+% 218.37/218.52 [status(thm)],+% 218.37/218.52 [c_0,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,+% 218.37/218.52 c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_128,c_126,+% 218.37/218.52 c_124,c_118,c_114,c_39,c_23,c_12,c_16539,c_16545,+% 218.37/218.52 c_16591,c_16958,c_17013,c_17067,c_17146,c_17224,c_17316,+% 218.37/218.52 c_17467,c_17685,c_18082,c_18107,c_18166,c_18206,c_19077,+% 218.37/218.52 c_19078,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,+% 218.37/218.52 c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,+% 218.37/218.52 c_27669,c_27672,c_27673,c_27674,c_29140,c_29185,c_29228,+% 218.37/218.52 c_31852,c_31860,c_32730,c_35127,c_45564,c_47043,c_49848,+% 218.37/218.52 c_62414,c_63779,c_66850,c_72084,c_75243,c_133487,+% 218.37/218.52 c_137595,c_137971,c_138028,c_142352,c_144212,c_154196,+% 218.37/218.52 c_157387,c_157416,c_157419,c_174273,c_174274,c_174318,+% 218.37/218.52 c_174321]) ).+% 218.37/218.52 +% 218.37/218.52 cnf(c_97,plain,+% 218.37/218.52 ( op1(e13,e11) != op1(e13,e13) ),+% 218.37/218.52 inference(cnf_transformation,[],[f202]) ).+% 218.37/218.52 +% 218.37/218.52 cnf(c_16548,plain,+% 218.37/218.52 ( op1(e13,e11) != X0+% 218.37/218.52 | op1(e13,e11) = op1(e13,e13)+% 218.37/218.52 | op1(e13,e13) != X0 ),+% 218.37/218.52 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.52 +% 218.37/218.52 cnf(c_24973,plain,+% 218.37/218.52 ( op1(e13,e11) = op1(e13,e13)+% 218.37/218.52 | op1(e13,e11) != e11+% 218.37/218.52 | op1(e13,e13) != e11 ),+% 218.37/218.52 inference(instantiation,[status(thm)],[c_16548]) ).+% 218.37/218.52 +% 218.37/218.52 cnf(c_138567,plain,+% 218.37/218.52 ( X0 != X1 | op1(e11,e11) != X1 | op1(e11,e11) = X0 ),+% 218.37/218.52 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.37/218.52 +% 218.37/218.52 cnf(c_139993,plain,+% 218.37/218.52 ( X0 != e11 | op1(e11,e11) = X0 | op1(e11,e11) != e11 ),+% 218.37/218.52 inference(instantiation,[status(thm)],[c_138567]) ).+% 218.37/218.52 +% 218.37/218.52 cnf(c_145856,plain,+% 218.37/218.52 ( op1(e11,op1(e10,e11)) != e11+% 218.37/218.52 | op1(e11,e11) = op1(e11,op1(e10,e11))+% 218.37/218.52 | op1(e11,e11) != e11 ),+% 218.37/218.52 inference(instantiation,[status(thm)],[c_139993]) ).+% 218.37/218.52 +% 218.37/218.52 cnf(c_230,plain,+% 218.37/218.52 ( ~ sP0 | op1(e11,op1(e10,e11)) = e11 ),+% 218.37/218.52 inference(cnf_transformation,[],[f289]) ).+% 218.37/218.52 +% 218.37/218.52 cnf(c_18702,plain,+% 218.37/218.52 ( X0 != e11 | op1(e11,e11) = X0 | op1(e11,e11) != e11 ),+% 218.37/218.52 inference(instantiation,[status(thm)],[c_17035]) ).+% 218.37/218.52 +% 218.37/218.52 cnf(c_21243,plain,+% 218.37/218.52 ( op1(e11,op1(e10,e11)) != e11+% 218.37/218.52 | op1(e11,e11) = op1(e11,op1(e10,e11))+% 218.37/218.52 | op1(e11,e11) != e11 ),+% 218.37/218.52 inference(instantiation,[status(thm)],[c_18702]) ).+% 218.37/218.52 +% 218.43/218.52 cnf(c_157467,plain,+% 218.43/218.52 ( op1(e11,e11) = op1(e11,op1(e10,e11)) | op1(e11,e11) != e11 ),+% 218.43/218.52 inference(global_propositional_subsumption,+% 218.43/218.52 [status(thm)],+% 218.43/218.52 [c_145856,c_254,c_253,c_252,c_235,c_234,c_232,c_230,+% 218.43/218.52 c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_128,+% 218.43/218.52 c_126,c_39,c_23,c_16539,c_16545,c_16958,c_17013,c_17146,+% 218.43/218.52 c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,+% 218.43/218.52 c_18206,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,+% 218.43/218.52 c_21243,c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,+% 218.43/218.52 c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,c_31860,+% 218.43/218.52 c_32730,c_45564,c_47043,c_49848,c_62414,c_66850,c_72084,+% 218.43/218.52 c_133487,c_137595,c_138028,c_142352,c_144212]) ).+% 218.43/218.52 +% 218.43/218.52 cnf(c_138163,plain,+% 218.43/218.52 ( op1(e11,e11) != X0+% 218.43/218.52 | op1(e11,e11) = op1(e11,e13)+% 218.43/218.52 | op1(e11,e13) != X0 ),+% 218.43/218.52 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.52 +% 218.43/218.52 cnf(c_16572,plain,+% 218.43/218.52 ( op1(e11,e11) != X0+% 218.43/218.52 | op1(e11,e11) = op1(e11,e13)+% 218.43/218.52 | op1(e11,e13) != X0 ),+% 218.43/218.52 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.52 +% 218.43/218.52 cnf(c_17033,plain,+% 218.43/218.52 ( op1(e11,e11) != op1(e11,e11)+% 218.43/218.52 | op1(e11,e11) = op1(e11,e13)+% 218.43/218.52 | op1(e11,e13) != op1(e11,e11) ),+% 218.43/218.52 inference(instantiation,[status(thm)],[c_16572]) ).+% 218.43/218.52 +% 218.43/218.52 cnf(c_25719,plain,+% 218.43/218.52 ( op1(e11,e11) != X0+% 218.43/218.52 | op1(e11,e13) != X0+% 218.43/218.52 | op1(e11,e13) = op1(e11,e11) ),+% 218.43/218.52 inference(instantiation,[status(thm)],[c_17030]) ).+% 218.43/218.52 +% 218.43/218.53 cnf(c_138561,plain,+% 218.43/218.53 ( op1(e11,e11) != X0 | op1(e11,e13) != X0 ),+% 218.43/218.53 inference(global_propositional_subsumption,+% 218.43/218.53 [status(thm)],+% 218.43/218.53 [c_138163,c_109,c_17033,c_17034,c_25719]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_138568,plain,+% 218.43/218.53 ( op1(e11,e11) != op1(X0,X1) | op1(e11,e13) != op1(X0,X1) ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_138561]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_157476,plain,+% 218.43/218.53 ( op1(e11,e11) != op1(e11,op1(e10,e11))+% 218.43/218.53 | op1(e11,e13) != op1(e11,op1(e10,e11)) ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_138568]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_138550,plain,+% 218.43/218.53 ( op1(e11,e13) = op1(X0,X1) | e11 != X0 | e13 != X1 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_139992,plain,+% 218.43/218.53 ( op1(e11,e13) = op1(e11,X0) | e11 != e11 | e13 != X0 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_138550]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_17032,plain,+% 218.43/218.53 ( op1(e11,e13) = op1(X0,X1) | e11 != X0 | e13 != X1 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_16533]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_18212,plain,+% 218.43/218.53 ( op1(e11,e13) = op1(e11,X0) | e11 != e11 | e13 != X0 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_17032]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_141322,plain,+% 218.43/218.53 ( op1(e11,e13) = op1(e11,X0) | e13 != X0 ),+% 218.43/218.53 inference(global_propositional_subsumption,+% 218.43/218.53 [status(thm)],+% 218.43/218.53 [c_139992,c_17013,c_18212]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_163528,plain,+% 218.43/218.53 ( op1(e11,e13) = op1(e11,op1(e10,e11)) | e13 != op1(e10,e11) ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_141322]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_36,plain,+% 218.43/218.53 ( op1(e10,e11) = e11+% 218.43/218.53 | op1(e11,e11) = e11+% 218.43/218.53 | op1(e12,e11) = e11+% 218.43/218.53 | op1(e13,e11) = e11 ),+% 218.43/218.53 inference(cnf_transformation,[],[f87]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_134,plain,+% 218.43/218.53 ( op1(e11,e11) != op1(e12,e11) ),+% 218.43/218.53 inference(cnf_transformation,[],[f165]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_101,plain,+% 218.43/218.53 ( op1(e13,e10) != op1(e13,e11) ),+% 218.43/218.53 inference(cnf_transformation,[],[f198]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_16556,plain,+% 218.43/218.53 ( op1(e13,e10) != X0+% 218.43/218.53 | op1(e13,e10) = op1(e13,e11)+% 218.43/218.53 | op1(e13,e11) != X0 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_16557,plain,+% 218.43/218.53 ( op1(e13,e10) = op1(e13,e11)+% 218.43/218.53 | op1(e13,e10) != e12+% 218.43/218.53 | op1(e13,e11) != e12 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_16556]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_16622,plain,+% 218.43/218.53 ( op1(e11,e11) != X0+% 218.43/218.53 | op1(e11,e11) = op1(e12,e11)+% 218.43/218.53 | op1(e12,e11) != X0 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_16623,plain,+% 218.43/218.53 ( op1(e11,e11) = op1(e12,e11)+% 218.43/218.53 | op1(e11,e11) != e12+% 218.43/218.53 | op1(e12,e11) != e12 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_16622]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_138191,plain,+% 218.43/218.53 ( op1(e10,e11) != X0+% 218.43/218.53 | op1(e10,e11) = op1(e11,e11)+% 218.43/218.53 | op1(e11,e11) != X0 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_137,plain,+% 218.43/218.53 ( op1(e10,e11) != op1(e11,e11) ),+% 218.43/218.53 inference(cnf_transformation,[],[f162]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_16628,plain,+% 218.43/218.53 ( op1(e10,e11) != X0+% 218.43/218.53 | op1(e10,e11) = op1(e11,e11)+% 218.43/218.53 | op1(e11,e11) != X0 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_138817,plain,+% 218.43/218.53 ( op1(e10,e11) != X0 | op1(e11,e11) != X0 ),+% 218.43/218.53 inference(global_propositional_subsumption,+% 218.43/218.53 [status(thm)],+% 218.43/218.53 [c_138191,c_137,c_16628]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_138819,plain,+% 218.43/218.53 ( op1(e10,e11) != e12 | op1(e11,e11) != e12 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_138817]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_138455,plain,+% 218.43/218.53 ( X0 != X1 | op1(e13,e11) != X1 | op1(e13,e11) = X0 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_139900,plain,+% 218.43/218.53 ( X0 != op1(e13,e11)+% 218.43/218.53 | op1(e13,e11) = X0+% 218.43/218.53 | op1(e13,e11) != op1(e13,e11) ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_138455]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_16966,plain,+% 218.43/218.53 ( X0 != X1 | op1(e13,e11) != X1 | op1(e13,e11) = X0 ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.53 +% 218.43/218.53 cnf(c_18089,plain,+% 218.43/218.53 ( X0 != op1(e13,e11)+% 218.43/218.53 | op1(e13,e11) = X0+% 218.43/218.53 | op1(e13,e11) != op1(e13,e11) ),+% 218.43/218.53 inference(instantiation,[status(thm)],[c_16966]) ).+% 218.43/218.53 +% 218.43/218.54 cnf(c_141121,plain,+% 218.43/218.54 ( op1(e13,e11) = X0 | X0 != op1(e13,e11) ),+% 218.43/218.54 inference(global_propositional_subsumption,+% 218.43/218.54 [status(thm)],+% 218.43/218.54 [c_139900,c_16965,c_18089]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_141122,plain,+% 218.43/218.54 ( X0 != op1(e13,e11) | op1(e13,e11) = X0 ),+% 218.43/218.54 inference(renaming,[status(thm)],[c_141121]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_141124,plain,+% 218.43/218.54 ( op1(e13,e11) = e10 | e10 != op1(e13,e11) ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_141122]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_2,plain,+% 218.43/218.54 ( op1(e13,e11) = e11+% 218.43/218.54 | op1(e13,e11) = e12+% 218.43/218.54 | op1(e13,e11) = e13+% 218.43/218.54 | e10 = op1(e13,e11) ),+% 218.43/218.54 inference(cnf_transformation,[],[f73]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_17676,plain,+% 218.43/218.54 ( op1(e12,e11) != X0 | e12 != X0 | e12 = op1(e12,e11) ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_17677,plain,+% 218.43/218.54 ( op1(e12,e11) != e12 | e12 = op1(e12,e11) | e12 != e12 ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_17676]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_22973,plain,+% 218.43/218.54 ( op1(e13,e11) = op1(e13,e12)+% 218.43/218.54 | op1(e13,e11) != e13+% 218.43/218.54 | op1(e13,e12) != e13 ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_16550]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_29558,plain,+% 218.43/218.54 ( op1(e12,e11) != X0+% 218.43/218.54 | op1(e12,e11) = op1(e13,e11)+% 218.43/218.54 | op1(e13,e11) != X0 ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_30290,plain,+% 218.43/218.54 ( op1(e12,e11) != op1(e12,e11)+% 218.43/218.54 | op1(e12,e11) = op1(e13,e11)+% 218.43/218.54 | op1(e13,e11) != op1(e12,e11) ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_29558]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_34860,plain,+% 218.43/218.54 ( op1(e12,e11) != e13+% 218.43/218.54 | op1(e13,e11) = op1(e12,e11)+% 218.43/218.54 | op1(e13,e11) != e13 ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_30823]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_62404,plain,+% 218.43/218.54 ( e12 != op1(e10,e12) | e12 = e13 | e13 != op1(e10,e12) ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_59561]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_62865,plain,+% 218.43/218.54 ( X0 != X1 | X0 = op1(e10,e12) | op1(e10,e12) != X1 ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_76699,plain,+% 218.43/218.54 ( X0 = op1(e10,e12)+% 218.43/218.54 | X0 != op1(e12,e11)+% 218.43/218.54 | op1(e10,e12) != op1(e12,e11) ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_62865]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_76700,plain,+% 218.43/218.54 ( op1(e10,e12) != op1(e12,e11)+% 218.43/218.54 | e12 = op1(e10,e12)+% 218.43/218.54 | e12 != op1(e12,e11) ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_76699]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_224899,plain,+% 218.43/218.54 ( op1(e13,e11) = e12 | op1(e13,e11) = e11 | e10 = op1(e13,e11) ),+% 218.43/218.54 inference(global_propositional_subsumption,+% 218.43/218.54 [status(thm)],+% 218.43/218.54 [c_2,c_254,c_253,c_252,c_192,c_143,c_135,c_132,c_124,+% 218.43/218.54 c_120,c_112,c_107,c_104,c_103,c_98,c_41,c_24,c_6,+% 218.43/218.54 c_16539,c_16545,c_16561,c_17013,c_17196,c_17677,c_18082,+% 218.43/218.54 c_18140,c_18166,c_19077,c_19078,c_19289,c_20081,c_20144,+% 218.43/218.54 c_20243,c_21647,c_22973,c_23126,c_23176,c_24872,c_27669,+% 218.43/218.54 c_27674,c_30290,c_31892,c_31942,c_32502,c_34860,c_35127,+% 218.43/218.54 c_36527,c_47043,c_62404,c_76700,c_137971,c_137988,+% 218.43/218.54 c_178052]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_224900,plain,+% 218.43/218.54 ( op1(e13,e11) = e11 | op1(e13,e11) = e12 | e10 = op1(e13,e11) ),+% 218.43/218.54 inference(renaming,[status(thm)],[c_224899]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_225307,plain,+% 218.43/218.54 ( op1(e11,e11) != X0+% 218.43/218.54 | op1(e11,e11) = op1(e13,e11)+% 218.43/218.54 | op1(e13,e11) != X0 ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_133,plain,+% 218.43/218.54 ( op1(e11,e11) != op1(e13,e11) ),+% 218.43/218.54 inference(cnf_transformation,[],[f166]) ).+% 218.43/218.54 +% 218.43/218.54 cnf(c_16620,plain,+% 218.43/218.54 ( op1(e11,e11) != X0+% 218.43/218.54 | op1(e11,e11) = op1(e13,e11)+% 218.43/218.54 | op1(e13,e11) != X0 ),+% 218.43/218.54 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.54 +% 218.43/218.55 cnf(c_225827,plain,+% 218.43/218.55 ( op1(e11,e11) != X0 | op1(e13,e11) != X0 ),+% 218.43/218.55 inference(global_propositional_subsumption,+% 218.43/218.55 [status(thm)],+% 218.43/218.55 [c_225307,c_133,c_16620]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_229205,plain,+% 218.43/218.55 ( op1(e11,e11) != e10 | op1(e13,e11) != e10 ),+% 218.43/218.55 inference(instantiation,[status(thm)],[c_225827]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_34,plain,+% 218.43/218.55 ( op1(e10,e11) = e12+% 218.43/218.55 | op1(e11,e11) = e12+% 218.43/218.55 | op1(e12,e11) = e12+% 218.43/218.55 | op1(e13,e11) = e12 ),+% 218.43/218.55 inference(cnf_transformation,[],[f89]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_136,plain,+% 218.43/218.55 ( op1(e10,e11) != op1(e12,e11) ),+% 218.43/218.55 inference(cnf_transformation,[],[f163]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_16626,plain,+% 218.43/218.55 ( op1(e10,e11) != X0+% 218.43/218.55 | op1(e10,e11) = op1(e12,e11)+% 218.43/218.55 | op1(e12,e11) != X0 ),+% 218.43/218.55 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_17203,plain,+% 218.43/218.55 ( op1(e10,e11) = op1(e12,e11)+% 218.43/218.55 | op1(e10,e11) != e13+% 218.43/218.55 | op1(e12,e11) != e13 ),+% 218.43/218.55 inference(instantiation,[status(thm)],[c_16626]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_43,plain,+% 218.43/218.55 ( op1(e10,e10) = e12+% 218.43/218.55 | op1(e10,e11) = e12+% 218.43/218.55 | op1(e10,e12) = e12+% 218.43/218.55 | op1(e10,e13) = e12 ),+% 218.43/218.55 inference(cnf_transformation,[],[f80]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_18892,plain,+% 218.43/218.55 ( op1(e12,e11) = op1(e12,e13)+% 218.43/218.55 | op1(e12,e11) != e13+% 218.43/218.55 | op1(e12,e13) != e13 ),+% 218.43/218.55 inference(instantiation,[status(thm)],[c_16560]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_27667,plain,+% 218.43/218.55 ( op1(e12,e11) != e13 | e13 = op1(e12,e11) | e13 != e13 ),+% 218.43/218.55 inference(instantiation,[status(thm)],[c_19596]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_29618,plain,+% 218.43/218.55 ( e12 != X0 | e12 = e13 | e13 != X0 ),+% 218.43/218.55 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_45650,plain,+% 218.43/218.55 ( e12 != op1(e12,e11) | e12 = e13 | e13 != op1(e12,e11) ),+% 218.43/218.55 inference(instantiation,[status(thm)],[c_29618]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_61723,plain,+% 218.43/218.55 ( X0 != X1 | X0 = op1(e12,e11) | op1(e12,e11) != X1 ),+% 218.43/218.55 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_64401,plain,+% 218.43/218.55 ( X0 != op1(e10,e12)+% 218.43/218.55 | X0 = op1(e12,e11)+% 218.43/218.55 | op1(e12,e11) != op1(e10,e12) ),+% 218.43/218.55 inference(instantiation,[status(thm)],[c_61723]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_64402,plain,+% 218.43/218.55 ( op1(e12,e11) != op1(e10,e12)+% 218.43/218.55 | e12 != op1(e10,e12)+% 218.43/218.55 | e12 = op1(e12,e11) ),+% 218.43/218.55 inference(instantiation,[status(thm)],[c_64401]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_229612,plain,+% 218.43/218.55 ( op1(e10,e11) = e13 | op1(e10,e11) = e12 ),+% 218.43/218.55 inference(global_propositional_subsumption,+% 218.43/218.55 [status(thm)],+% 218.43/218.55 [c_14,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,+% 218.43/218.55 c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,+% 218.43/218.55 c_135,c_132,c_128,c_126,c_124,c_120,c_113,c_112,c_107,+% 218.43/218.55 c_105,c_104,c_103,c_102,c_98,c_43,c_41,c_39,c_32,c_24,+% 218.43/218.55 c_23,c_6,c_4,c_16539,c_16545,c_16561,c_16603,c_16958,+% 218.43/218.55 c_17004,c_17013,c_17059,c_17105,c_17146,c_17196,c_17224,+% 218.43/218.55 c_17316,c_17467,c_17677,c_17685,c_18082,c_18107,c_18140,+% 218.43/218.55 c_18166,c_18206,c_18892,c_19077,c_19078,c_19289,c_19311,+% 218.43/218.55 c_20081,c_20144,c_20243,c_20396,c_20399,c_20440,c_20464,+% 218.43/218.55 c_21221,c_21647,c_22973,c_23054,c_23127,c_23126,c_23125,+% 218.43/218.55 c_23124,c_23181,c_23176,c_24872,c_27071,c_27667,c_27668,+% 218.43/218.55 c_27669,c_27673,c_27674,c_29140,c_29185,c_30290,c_31852,+% 218.43/218.55 c_31860,c_31892,c_31942,c_32502,c_32730,c_34860,c_35127,+% 218.43/218.55 c_36527,c_45564,c_45650,c_47043,c_49848,c_62404,c_62414,+% 218.43/218.55 c_64402,c_66850,c_72084,c_76700,c_133487,c_133544,+% 218.43/218.55 c_137595,c_137971,c_137988,c_138028,c_142352,c_144212,+% 218.43/218.55 c_178052,c_204646,c_229253,c_229277]) ).+% 218.43/218.55 +% 218.43/218.55 cnf(c_229613,plain,+% 218.43/218.55 ( op1(e10,e11) = e12 | op1(e10,e11) = e13 ),+% 218.43/218.55 inference(renaming,[status(thm)],[c_229612]) ).+% 218.43/218.55 +% 218.46/218.56 cnf(c_229902,plain,+% 218.46/218.56 ( op1(e12,e11) = e12 | op1(e10,e11) = e12 ),+% 218.46/218.56 inference(global_propositional_subsumption,+% 218.46/218.56 [status(thm)],+% 218.46/218.56 [c_34,c_254,c_253,c_136,c_107,c_104,c_6,c_16539,c_16545,+% 218.46/218.56 c_17203,c_18140,c_18166,c_20081,c_20144,c_23126,c_31892,+% 218.46/218.56 c_32502,c_229613]) ).+% 218.46/218.56 +% 218.46/218.56 cnf(c_229903,plain,+% 218.46/218.56 ( op1(e10,e11) = e12 | op1(e12,e11) = e12 ),+% 218.46/218.56 inference(renaming,[status(thm)],[c_229902]) ).+% 218.46/218.56 +% 218.46/218.56 cnf(c_229992,plain,+% 218.46/218.56 ( op1(e11,e11) = e11 | op1(e13,e11) = e11 ),+% 218.46/218.56 inference(global_propositional_subsumption,+% 218.46/218.56 [status(thm)],+% 218.46/218.56 [c_36,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,+% 218.46/218.56 c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,+% 218.46/218.56 c_135,c_134,c_132,c_128,c_126,c_124,c_120,c_113,c_112,+% 218.46/218.56 c_107,c_104,c_103,c_101,c_98,c_42,c_41,c_39,c_24,c_23,+% 218.46/218.56 c_10,c_6,c_2,c_16539,c_16545,c_16557,c_16561,c_16623,+% 218.46/218.56 c_16958,c_17013,c_17034,c_17059,c_17146,c_17196,c_17224,+% 218.46/218.56 c_17316,c_17467,c_17677,c_17685,c_18082,c_18107,c_18140,+% 218.46/218.56 c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,+% 218.46/218.56 c_20113,c_20144,c_20238,c_20243,c_20396,c_20440,c_21221,+% 218.46/218.56 c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,+% 218.46/218.56 c_23176,c_24872,c_24898,c_27071,c_27668,c_27669,c_27673,+% 218.46/218.56 c_27674,c_29140,c_29185,c_30290,c_30493,c_31852,c_31860,+% 218.46/218.56 c_31892,c_31942,c_32502,c_32730,c_34860,c_35127,c_36462,+% 218.46/218.56 c_36527,c_45564,c_47043,c_49848,c_62391,c_62404,c_62414,+% 218.46/218.56 c_66850,c_72084,c_76700,c_133487,c_133544,c_137595,+% 218.46/218.56 c_137971,c_137988,c_138028,c_138819,c_141124,c_142352,+% 218.46/218.56 c_144212,c_178052,c_204646,c_229205,c_229253,c_229903]) ).+% 218.46/218.56 +% 218.46/218.56 cnf(c_225653,plain,+% 218.46/218.56 ( X0 != X1 | e13 != X1 | e13 = X0 ),+% 218.46/218.56 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.56 +% 218.46/218.56 cnf(c_227499,plain,+% 218.46/218.56 ( X0 != e13 | e13 = X0 | e13 != e13 ),+% 218.46/218.56 inference(instantiation,[status(thm)],[c_225653]) ).+% 218.46/218.56 +% 218.46/218.57 cnf(c_231949,plain,+% 218.46/218.57 ( e13 = X0 | X0 != e13 ),+% 218.46/218.57 inference(global_propositional_subsumption,+% 218.46/218.57 [status(thm)],+% 218.46/218.57 [c_227499,c_18082,c_19596]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_231950,plain,+% 218.46/218.57 ( X0 != e13 | e13 = X0 ),+% 218.46/218.57 inference(renaming,[status(thm)],[c_231949]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_233740,plain,+% 218.46/218.57 ( op1(e10,e11) != e13 | e13 = op1(e10,e11) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_231950]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_239524,plain,+% 218.46/218.57 ( e10 = op1(e13,e13) ),+% 218.46/218.57 inference(global_propositional_subsumption,+% 218.46/218.57 [status(thm)],+% 218.46/218.57 [c_224827,c_254,c_253,c_252,c_235,c_234,c_232,c_230,+% 218.46/218.57 c_228,c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,+% 218.46/218.57 c_140,c_139,c_135,c_132,c_128,c_126,c_124,c_123,c_120,+% 218.46/218.57 c_113,c_112,c_107,c_104,c_103,c_98,c_97,c_41,c_39,c_32,+% 218.46/218.57 c_24,c_23,c_12,c_6,c_16539,c_16545,c_16561,c_16603,+% 218.46/218.57 c_16958,c_17013,c_17059,c_17146,c_17196,c_17224,c_17316,+% 218.46/218.57 c_17467,c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,+% 218.46/218.57 c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,+% 218.46/218.57 c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,+% 218.46/218.57 c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,+% 218.46/218.57 c_23176,c_24872,c_24973,c_27071,c_27668,c_27669,c_27672,+% 218.46/218.57 c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_30290,+% 218.46/218.57 c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,c_33701,+% 218.46/218.57 c_34860,c_34859,c_35127,c_36527,c_45564,c_47043,c_49848,+% 218.46/218.57 c_59901,c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,+% 218.46/218.57 c_75216,c_75243,c_76700,c_133487,c_137595,c_137971,+% 218.46/218.57 c_137988,c_138028,c_142352,c_144212,c_154058,c_157476,+% 218.46/218.57 c_162431,c_163528,c_178052,c_229618,c_229992,c_231889,+% 218.46/218.57 c_233740]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_241065,plain,+% 218.46/218.57 ( X0 != op1(e13,e13) | h3(X0) = h3(e10) ),+% 218.46/218.57 inference(resolution,[status(thm)],[c_239334,c_239524]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_224705,plain,+% 218.46/218.57 ( X0 = op2(e22,e22) | X0 != h3(e10) ),+% 218.46/218.57 inference(resolution,[status(thm)],[c_16532,c_268]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_224676,plain,+% 218.46/218.57 ( X0 != op2(e22,e22) | X0 = e20 ),+% 218.46/218.57 inference(resolution,[status(thm)],[c_16532,c_257]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_229665,plain,+% 218.46/218.57 ( X0 != h3(e10) | X0 = e20 ),+% 218.46/218.57 inference(resolution,[status(thm)],[c_224705,c_224676]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_253318,plain,+% 218.46/218.57 ( X0 != op1(e13,e13) | h3(X0) = e20 ),+% 218.46/218.57 inference(resolution,[status(thm)],[c_241065,c_229665]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_253327,plain,+% 218.46/218.57 ( h3(op1(e13,e13)) = e20 ),+% 218.46/218.57 inference(resolution,[status(thm)],[c_253318,c_16531]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_224826,plain,+% 218.46/218.57 ( X0 != X1 | X2 != X3 | X4 != op2(X1,X3) | X4 = op2(X0,X2) ),+% 218.46/218.57 inference(resolution,[status(thm)],[c_16534,c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_240234,plain,+% 218.46/218.57 ( X0 != e22 | X1 != e22 | e20 = op2(X0,X1) ),+% 218.46/218.57 inference(resolution,[status(thm)],[c_224826,c_257]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_224872,plain,+% 218.46/218.57 ( X0 = h3(e12) | X0 != e22 ),+% 218.46/218.57 inference(resolution,[status(thm)],[c_224868,c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_224962,plain,+% 218.46/218.57 ( X0 = X1 | X0 != h3(e12) | X1 != e22 ),+% 218.46/218.57 inference(resolution,[status(thm)],[c_224872,c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_230647,plain,+% 218.46/218.57 ( X0 != e22 | e22 = X0 ),+% 218.46/218.57 inference(resolution,[status(thm)],[c_224962,c_269]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_249,plain,+% 218.46/218.57 ( sP3 | sP4 | sP5 | op2(e22,op2(e23,e22)) = e22 ),+% 218.46/218.57 inference(cnf_transformation,[],[f310]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_237,plain,+% 218.46/218.57 ( ~ sP5 | op2(e22,op2(e22,e22)) = e22 ),+% 218.46/218.57 inference(cnf_transformation,[],[f298]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_200,plain,+% 218.46/218.57 ( e21 != e22 ),+% 218.46/218.57 inference(cnf_transformation,[],[f261]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_17428,plain,+% 218.46/218.57 ( X0 != X1 | e22 != X1 | e22 = X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_19519,plain,+% 218.46/218.57 ( X0 != e22 | e22 = X0 | e22 != e22 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_17428]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_23671,plain,+% 218.46/218.57 ( op2(e22,op2(e22,e22)) != e22+% 218.46/218.57 | e22 = op2(e22,op2(e22,e22))+% 218.46/218.57 | e22 != e22 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_19519]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_29626,plain,+% 218.46/218.57 ( e21 != X0 | e21 = e22 | e22 != X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_38592,plain,+% 218.46/218.57 ( e21 != op2(e22,op2(e22,e22))+% 218.46/218.57 | e21 = e22+% 218.46/218.57 | e22 != op2(e22,op2(e22,e22)) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_29626]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_240,plain,+% 218.46/218.57 ( ~ sP4 | op2(e23,op2(e21,e23)) = e23 ),+% 218.46/218.57 inference(cnf_transformation,[],[f303]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_242,plain,+% 218.46/218.57 ( ~ sP4 | op2(e21,op2(e21,e21)) = e21 ),+% 218.46/218.57 inference(cnf_transformation,[],[f301]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_201,plain,+% 218.46/218.57 ( e20 != e23 ),+% 218.46/218.57 inference(cnf_transformation,[],[f260]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_199,plain,+% 218.46/218.57 ( e21 != e23 ),+% 218.46/218.57 inference(cnf_transformation,[],[f262]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_188,plain,+% 218.46/218.57 ( op2(e21,e20) != op2(e22,e20) ),+% 218.46/218.57 inference(cnf_transformation,[],[f207]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_187,plain,+% 218.46/218.57 ( op2(e21,e20) != op2(e23,e20) ),+% 218.46/218.57 inference(cnf_transformation,[],[f208]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_176,plain,+% 218.46/218.57 ( op2(e21,e22) != op2(e22,e22) ),+% 218.46/218.57 inference(cnf_transformation,[],[f219]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_88,plain,+% 218.46/218.57 ( op2(e20,e20) = e23+% 218.46/218.57 | op2(e21,e20) = e23+% 218.46/218.57 | op2(e22,e20) = e23+% 218.46/218.57 | op2(e23,e20) = e23 ),+% 218.46/218.57 inference(cnf_transformation,[],[f131]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_87,plain,+% 218.46/218.57 ( e20 = op2(e21,e20)+% 218.46/218.57 | e20 = op2(e21,e21)+% 218.46/218.57 | e20 = op2(e21,e22)+% 218.46/218.57 | e20 = op2(e21,e23) ),+% 218.46/218.57 inference(cnf_transformation,[],[f132]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_17300,plain,+% 218.46/218.57 ( op2(e22,e22) = op2(e22,e22) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_17740,plain,+% 218.46/218.57 ( op2(e21,e22) = op2(e21,e22) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_16751,plain,+% 218.46/218.57 ( e20 != X0 | e20 = e23 | e23 != X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_18997,plain,+% 218.46/218.57 ( e20 != op2(e21,e20) | e20 = e23 | e23 != op2(e21,e20) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16751]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_19346,plain,+% 218.46/218.57 ( op2(e22,e20) != e23 | e23 = op2(e22,e20) | e23 != e23 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_17279,plain,+% 218.46/218.57 ( op2(e23,e20) = op2(X0,X1) | e20 != X1 | e23 != X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_18441,plain,+% 218.46/218.57 ( op2(e23,e20) = op2(X0,op2(e21,e23))+% 218.46/218.57 | e20 != op2(e21,e23)+% 218.46/218.57 | e23 != X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_17279]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_20955,plain,+% 218.46/218.57 ( op2(e23,e20) = op2(e23,op2(e21,e23))+% 218.46/218.57 | e20 != op2(e21,e23)+% 218.46/218.57 | e23 != e23 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_18441]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_17301,plain,+% 218.46/218.57 ( X0 != X1 | op2(e22,e22) != X1 | op2(e22,e22) = X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_18463,plain,+% 218.46/218.57 ( X0 != op2(e22,e22)+% 218.46/218.57 | op2(e22,e22) = X0+% 218.46/218.57 | op2(e22,e22) != op2(e22,e22) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_17301]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_21017,plain,+% 218.46/218.57 ( op2(e22,e22) != op2(e22,e22)+% 218.46/218.57 | op2(e22,e22) = e20+% 218.46/218.57 | e20 != op2(e22,e22) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_18463]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_21762,plain,+% 218.46/218.57 ( op2(e23,op2(e21,e23)) != e23+% 218.46/218.57 | e23 = op2(e23,op2(e21,e23))+% 218.46/218.57 | e23 != e23 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_22510,plain,+% 218.46/218.57 ( op2(e21,e20) != e23 | e23 = op2(e21,e20) | e23 != e23 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_26603,plain,+% 218.46/218.57 ( op2(e22,e20) != e21 | e21 = op2(e22,e20) | e21 != e21 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_19525]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_17351,plain,+% 218.46/218.57 ( X0 != X1 | op2(e22,e20) != X1 | op2(e22,e20) = X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_18492,plain,+% 218.46/218.57 ( X0 != e21 | op2(e22,e20) = X0 | op2(e22,e20) != e21 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_17351]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_27237,plain,+% 218.46/218.57 ( op2(e21,op2(e21,e21)) != e21+% 218.46/218.57 | op2(e22,e20) = op2(e21,op2(e21,e21))+% 218.46/218.57 | op2(e22,e20) != e21 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_18492]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_17767,plain,+% 218.46/218.57 ( op2(e21,e20) = op2(X0,X1) | e20 != X1 | e21 != X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_19989,plain,+% 218.46/218.57 ( op2(e21,e20) = op2(X0,op2(e22,e22))+% 218.46/218.57 | e20 != op2(e22,e22)+% 218.46/218.57 | e21 != X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_17767]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_27945,plain,+% 218.46/218.57 ( op2(e21,e20) = op2(e21,op2(e22,e22))+% 218.46/218.57 | e20 != op2(e22,e22)+% 218.46/218.57 | e21 != e21 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_19989]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_31181,plain,+% 218.46/218.57 ( op2(e21,e20) = op2(X0,op2(e21,e21))+% 218.46/218.57 | e20 != op2(e21,e21)+% 218.46/218.57 | e21 != X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_30199]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_33461,plain,+% 218.46/218.57 ( op2(e21,e20) = op2(e21,op2(e21,e21))+% 218.46/218.57 | e20 != op2(e21,e21)+% 218.46/218.57 | e21 != e21 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_31181]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_29613,plain,+% 218.46/218.57 ( op2(e21,e20) != X0+% 218.46/218.57 | op2(e21,e20) = op2(e23,e20)+% 218.46/218.57 | op2(e23,e20) != X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_38896,plain,+% 218.46/218.57 ( op2(e21,e20) != op2(e21,op2(e22,e22))+% 218.46/218.57 | op2(e21,e20) = op2(e23,e20)+% 218.46/218.57 | op2(e23,e20) != op2(e21,op2(e22,e22)) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_29613]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_29614,plain,+% 218.46/218.57 ( op2(e21,e20) != X0+% 218.46/218.57 | op2(e21,e20) = op2(e22,e20)+% 218.46/218.57 | op2(e22,e20) != X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_38949,plain,+% 218.46/218.57 ( op2(e21,e20) != op2(e21,op2(e21,e21))+% 218.46/218.57 | op2(e21,e20) = op2(e22,e20)+% 218.46/218.57 | op2(e22,e20) != op2(e21,op2(e21,e21)) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_29614]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_30159,plain,+% 218.46/218.57 ( X0 != X1 | op2(e21,e22) != X1 | op2(e21,e22) = X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_31142,plain,+% 218.46/218.57 ( X0 != op2(e21,e22)+% 218.46/218.57 | op2(e21,e22) = X0+% 218.46/218.57 | op2(e21,e22) != op2(e21,e22) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_30159]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_44248,plain,+% 218.46/218.57 ( op2(e21,e22) != op2(e21,e22)+% 218.46/218.57 | op2(e21,e22) = e20+% 218.46/218.57 | e20 != op2(e21,e22) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_31142]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_34944,plain,+% 218.46/218.57 ( X0 != op2(e22,op2(e22,e22))+% 218.46/218.57 | X1 != op2(e22,e22)+% 218.46/218.57 | op2(X0,X1) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_41109,plain,+% 218.46/218.57 ( X0 != op2(e22,op2(e22,e22))+% 218.46/218.57 | op2(X0,op2(e22,e22)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.46/218.57 | op2(e22,e22) != op2(e22,e22) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_34944]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_51437,plain,+% 218.46/218.57 ( op2(e21,op2(e22,e22)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.46/218.57 | op2(e22,e22) != op2(e22,e22)+% 218.46/218.57 | e21 != op2(e22,op2(e22,e22)) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_41109]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_59545,plain,+% 218.46/218.57 ( op2(e21,e22) != X0+% 218.46/218.57 | op2(e21,e22) = op2(e22,e22)+% 218.46/218.57 | op2(e22,e22) != X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_68501,plain,+% 218.46/218.57 ( op2(e21,e22) = op2(e22,e22)+% 218.46/218.57 | op2(e21,e22) != e20+% 218.46/218.57 | op2(e22,e22) != e20 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_59545]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_59568,plain,+% 218.46/218.57 ( e21 != X0 | e21 = e23 | e23 != X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_68975,plain,+% 218.46/218.57 ( e21 != op2(e22,e20) | e21 = e23 | e23 != op2(e22,e20) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_59568]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_61127,plain,+% 218.46/218.57 ( X0 != X1 | X0 = e23 | e23 != X1 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_62174,plain,+% 218.46/218.57 ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.46/218.57 | X0 = e23+% 218.46/218.57 | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_61127]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_95072,plain,+% 218.46/218.57 ( op2(e21,op2(e22,e22)) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.46/218.57 | op2(e21,op2(e22,e22)) = e23+% 218.46/218.57 | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_62174]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_60047,plain,+% 218.46/218.57 ( X0 != X1 | op2(e23,e20) != X1 | op2(e23,e20) = X0 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_60945,plain,+% 218.46/218.57 ( X0 != e23 | op2(e23,e20) = X0 | op2(e23,e20) != e23 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_60047]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_102572,plain,+% 218.46/218.57 ( op2(e21,op2(e22,e22)) != e23+% 218.46/218.57 | op2(e23,e20) = op2(e21,op2(e22,e22))+% 218.46/218.57 | op2(e23,e20) != e23 ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_60945]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_76996,plain,+% 218.46/218.57 ( X0 != op2(e23,op2(e21,e23))+% 218.46/218.57 | X0 = e23+% 218.46/218.57 | e23 != op2(e23,op2(e21,e23)) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_61127]) ).+% 218.46/218.57 +% 218.46/218.57 cnf(c_107767,plain,+% 218.46/218.57 ( op2(e23,e20) != op2(e23,op2(e21,e23))+% 218.46/218.57 | op2(e23,e20) = e23+% 218.46/218.57 | e23 != op2(e23,op2(e21,e23)) ),+% 218.46/218.57 inference(instantiation,[status(thm)],[c_76996]) ).+% 218.46/218.57 +% 218.46/218.58 cnf(c_138128,plain,+% 218.46/218.58 ( ~ sP4 ),+% 218.46/218.58 inference(global_propositional_subsumption,+% 218.46/218.58 [status(thm)],+% 218.46/218.58 [c_240,c_257,c_256,c_255,c_242,c_203,c_201,c_199,c_191,+% 218.46/218.58 c_188,c_187,c_176,c_155,c_153,c_88,c_87,c_77,c_16905,+% 218.46/218.58 c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,+% 218.46/218.58 c_18617,c_18997,c_19346,c_20955,c_21017,c_21159,c_21422,+% 218.46/218.58 c_21762,c_22510,c_26105,c_26103,c_26603,c_26610,c_27237,+% 218.46/218.58 c_27945,c_33461,c_33893,c_34088,c_36100,c_38580,c_38896,+% 218.46/218.58 c_38949,c_39778,c_44248,c_51437,c_68501,c_68975,c_95072,+% 218.46/218.58 c_102572,c_107767]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_224607,plain,+% 218.46/218.58 ( sP3 | op2(e22,op2(e23,e22)) = e22 ),+% 218.46/218.58 inference(global_propositional_subsumption,+% 218.46/218.58 [status(thm)],+% 218.46/218.58 [c_249,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,+% 218.46/218.58 c_200,c_199,c_191,c_188,c_187,c_176,c_155,c_153,c_88,+% 218.46/218.58 c_87,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,+% 218.46/218.58 c_17431,c_17554,c_17740,c_18617,c_18997,c_19346,c_20955,+% 218.46/218.58 c_21017,c_21159,c_21422,c_21762,c_22510,c_23671,c_26105,+% 218.46/218.58 c_26103,c_26603,c_26610,c_27237,c_27945,c_33461,c_33893,+% 218.46/218.58 c_34088,c_36100,c_38592,c_38580,c_38896,c_38949,c_39778,+% 218.46/218.58 c_44248,c_51437,c_68501,c_68975,c_95072,c_102572,+% 218.46/218.58 c_107767]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_230664,plain,+% 218.46/218.58 ( sP3 | e22 = op2(e22,op2(e23,e22)) ),+% 218.46/218.58 inference(resolution,[status(thm)],[c_230647,c_224607]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_230674,plain,+% 218.46/218.58 ( sP3 | X0 != op2(e22,op2(e23,e22)) | X0 = e22 ),+% 218.46/218.58 inference(resolution,[status(thm)],[c_230664,c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_241831,plain,+% 218.46/218.58 ( sP3 | op2(e23,e22) != e22 | e20 = e22 | e22 != e22 ),+% 218.46/218.58 inference(resolution,[status(thm)],[c_240234,c_230674]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_241832,plain,+% 218.46/218.58 ( sP3 | op2(e23,e22) != e22 | e20 = e22 ),+% 218.46/218.58 inference(equality_resolution_simp,[status(thm)],[c_241831]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_245,plain,+% 218.46/218.58 ( ~ sP3 | op2(e22,op2(e20,e22)) = e22 ),+% 218.46/218.58 inference(cnf_transformation,[],[f306]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_202,plain,+% 218.46/218.58 ( e20 != e22 ),+% 218.46/218.58 inference(cnf_transformation,[],[f259]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_198,plain,+% 218.46/218.58 ( e22 != e23 ),+% 218.46/218.58 inference(cnf_transformation,[],[f263]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_175,plain,+% 218.46/218.58 ( op2(e21,e22) != op2(e23,e22) ),+% 218.46/218.58 inference(cnf_transformation,[],[f220]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_170,plain,+% 218.46/218.58 ( op2(e21,e23) != op2(e22,e23) ),+% 218.46/218.58 inference(cnf_transformation,[],[f225]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_16704,plain,+% 218.46/218.58 ( op2(e21,e22) != X0+% 218.46/218.58 | op2(e21,e22) = op2(e23,e22)+% 218.46/218.58 | op2(e23,e22) != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_18971,plain,+% 218.46/218.58 ( op2(e21,e22) != op2(e21,e22)+% 218.46/218.58 | op2(e21,e22) = op2(e23,e22)+% 218.46/218.58 | op2(e23,e22) != op2(e21,e22) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16704]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_17838,plain,+% 218.46/218.58 ( op2(e22,e23) = op2(X0,X1) | e22 != X0 | e23 != X1 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_20764,plain,+% 218.46/218.58 ( op2(e22,e23) = op2(e22,X0) | e22 != e22 | e23 != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_17838]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_28198,plain,+% 218.46/218.58 ( op2(e22,e23) = op2(e22,op2(e20,e22))+% 218.46/218.58 | e22 != e22+% 218.46/218.58 | e23 != op2(e20,e22) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_20764]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_29596,plain,+% 218.46/218.58 ( op2(e21,e23) != X0+% 218.46/218.58 | op2(e21,e23) = op2(e22,e23)+% 218.46/218.58 | op2(e22,e23) != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_44781,plain,+% 218.46/218.58 ( op2(e21,e23) = op2(e22,e23)+% 218.46/218.58 | op2(e21,e23) != e22+% 218.46/218.58 | op2(e22,e23) != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_29596]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_30263,plain,+% 218.46/218.58 ( X0 != X1 | e22 != X1 | e22 = X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_31448,plain,+% 218.46/218.58 ( X0 != e22 | e22 = X0 | e22 != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_30263]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_45778,plain,+% 218.46/218.58 ( op2(e22,op2(e20,e22)) != e22+% 218.46/218.58 | e22 = op2(e22,op2(e20,e22))+% 218.46/218.58 | e22 != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_31448]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_60387,plain,+% 218.46/218.58 ( op2(e22,e23) != X0 | op2(e22,e23) = e22 | e22 != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_68875,plain,+% 218.46/218.58 ( op2(e22,e23) != op2(e22,op2(e20,e22))+% 218.46/218.58 | op2(e22,e23) = e22+% 218.46/218.58 | e22 != op2(e22,op2(e20,e22)) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_60387]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_60199,plain,+% 218.46/218.58 ( X0 != X1 | e22 != X1 | e22 = X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_61358,plain,+% 218.46/218.58 ( X0 != e22 | e22 = X0 | e22 != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_60199]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_90241,plain,+% 218.46/218.58 ( op2(e23,e22) != e22 | e22 = op2(e23,e22) | e22 != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_61358]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_60029,plain,+% 218.46/218.58 ( X0 != X1 | op2(e23,e22) != X1 | op2(e23,e22) = X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_90235,plain,+% 218.46/218.58 ( X0 != e22 | op2(e23,e22) = X0 | op2(e23,e22) != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_60029]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_108004,plain,+% 218.46/218.58 ( op2(e21,e22) != e22+% 218.46/218.58 | op2(e23,e22) = op2(e21,e22)+% 218.46/218.58 | op2(e23,e22) != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_90235]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_59567,plain,+% 218.46/218.58 ( e22 != X0 | e22 = e23 | e23 != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_112575,plain,+% 218.46/218.58 ( e22 != op2(e23,e22) | e22 = e23 | e23 != op2(e23,e22) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_59567]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_273,plain,+% 218.46/218.58 ( e23 = h4(e12) ),+% 218.46/218.58 inference(cnf_transformation,[],[f330]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_224711,plain,+% 218.46/218.58 ( X0 != h4(e12) | X0 = e23 ),+% 218.46/218.58 inference(resolution,[status(thm)],[c_16532,c_273]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_224878,plain,+% 218.46/218.58 ( h4(e12) = e23 ),+% 218.46/218.58 inference(resolution,[status(thm)],[c_224711,c_16531]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_224882,plain,+% 218.46/218.58 ( X0 = h4(e12) | X0 != e23 ),+% 218.46/218.58 inference(resolution,[status(thm)],[c_224878,c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_224973,plain,+% 218.46/218.58 ( X0 = X1 | X0 != h4(e12) | X1 != e23 ),+% 218.46/218.58 inference(resolution,[status(thm)],[c_224882,c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_231004,plain,+% 218.46/218.58 ( X0 != e23 | e23 = X0 ),+% 218.46/218.58 inference(resolution,[status(thm)],[c_224973,c_273]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_72,plain,+% 218.46/218.58 ( op2(e20,e22) = e23+% 218.46/218.58 | op2(e21,e22) = e23+% 218.46/218.58 | op2(e22,e22) = e23+% 218.46/218.58 | op2(e23,e22) = e23 ),+% 218.46/218.58 inference(cnf_transformation,[],[f147]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_22467,plain,+% 218.46/218.58 ( op2(e20,e21) != e23 | e23 = op2(e20,e21) | e23 != e23 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_17257,plain,+% 218.46/218.58 ( op2(e23,e22) = op2(X0,X1) | e22 != X1 | e23 != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_18602,plain,+% 218.46/218.58 ( op2(e23,e22) = op2(X0,e22) | e22 != e22 | e23 != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_17257]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_23417,plain,+% 218.46/218.58 ( op2(e23,e22) = op2(op2(e20,e21),e22)+% 218.46/218.58 | e22 != e22+% 218.46/218.58 | e23 != op2(e20,e21) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_18602]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_89,plain,+% 218.46/218.58 ( op2(e20,e20) = e23+% 218.46/218.58 | op2(e20,e21) = e23+% 218.46/218.58 | op2(e20,e22) = e23+% 218.46/218.58 | op2(e20,e23) = e23 ),+% 218.46/218.58 inference(cnf_transformation,[],[f130]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_179,plain,+% 218.46/218.58 ( op2(e20,e22) != op2(e21,e22) ),+% 218.46/218.58 inference(cnf_transformation,[],[f216]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_174,plain,+% 218.46/218.58 ( op2(e22,e22) != op2(e23,e22) ),+% 218.46/218.58 inference(cnf_transformation,[],[f221]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_171,plain,+% 218.46/218.58 ( op2(e20,e23) != op2(e23,e23) ),+% 218.46/218.58 inference(cnf_transformation,[],[f224]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_166,plain,+% 218.46/218.58 ( op2(e20,e20) != op2(e20,e22) ),+% 218.46/218.58 inference(cnf_transformation,[],[f229]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_160,plain,+% 218.46/218.58 ( op2(e21,e20) != op2(e21,e22) ),+% 218.46/218.58 inference(cnf_transformation,[],[f235]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_158,plain,+% 218.46/218.58 ( op2(e21,e21) != op2(e21,e22) ),+% 218.46/218.58 inference(cnf_transformation,[],[f237]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_90,plain,+% 218.46/218.58 ( op2(e20,e20) = e22+% 218.46/218.58 | op2(e21,e20) = e22+% 218.46/218.58 | op2(e22,e20) = e22+% 218.46/218.58 | op2(e23,e20) = e22 ),+% 218.46/218.58 inference(cnf_transformation,[],[f129]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_71,plain,+% 218.46/218.58 ( e20 = op2(e23,e20)+% 218.46/218.58 | e20 = op2(e23,e21)+% 218.46/218.58 | e20 = op2(e23,e22)+% 218.46/218.58 | e20 = op2(e23,e23) ),+% 218.46/218.58 inference(cnf_transformation,[],[f148]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_68,plain,+% 218.46/218.58 ( op2(e20,e23) = e21+% 218.46/218.58 | op2(e21,e23) = e21+% 218.46/218.58 | op2(e22,e23) = e21+% 218.46/218.58 | op2(e23,e23) = e21 ),+% 218.46/218.58 inference(cnf_transformation,[],[f151]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_67,plain,+% 218.46/218.58 ( op2(e23,e20) = e22+% 218.46/218.58 | op2(e23,e21) = e22+% 218.46/218.58 | op2(e23,e22) = e22+% 218.46/218.58 | op2(e23,e23) = e22 ),+% 218.46/218.58 inference(cnf_transformation,[],[f152]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_57,plain,+% 218.46/218.58 ( op2(e21,e22) = e21+% 218.46/218.58 | op2(e21,e22) = e22+% 218.46/218.58 | op2(e21,e22) = e23+% 218.46/218.58 | e20 = op2(e21,e22) ),+% 218.46/218.58 inference(cnf_transformation,[],[f114]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_250,plain,+% 218.46/218.58 ( sP3 | sP4 | sP5 | op2(e21,op2(e23,e21)) = e21 ),+% 218.46/218.58 inference(cnf_transformation,[],[f309]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_244,plain,+% 218.46/218.58 ( ~ sP3 | op2(e23,op2(e20,e23)) = e23 ),+% 218.46/218.58 inference(cnf_transformation,[],[f307]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_1865,plain,+% 218.46/218.58 ( sP4+% 218.46/218.58 | sP5+% 218.46/218.58 | op2(e21,op2(e23,e21)) = e21+% 218.46/218.58 | op2(e23,op2(e20,e23)) = e23 ),+% 218.46/218.58 inference(resolution,[status(thm)],[c_250,c_244]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_248,plain,+% 218.46/218.58 ( sP3 | sP4 | sP5 | op2(e23,op2(e23,e23)) = e23 ),+% 218.46/218.58 inference(cnf_transformation,[],[f311]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_1969,plain,+% 218.46/218.58 ( sP4+% 218.46/218.58 | sP5+% 218.46/218.58 | op2(e23,op2(e20,e23)) = e23+% 218.46/218.58 | op2(e23,op2(e23,e23)) = e23 ),+% 218.46/218.58 inference(resolution,[status(thm)],[c_248,c_244]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_17254,plain,+% 218.46/218.58 ( op2(e23,e22) = op2(e23,e22) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_17556,plain,+% 218.46/218.58 ( e20 != op2(e21,e23) | e20 = e21 | e21 != op2(e21,e23) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16755]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_16674,plain,+% 218.46/218.58 ( op2(e21,e20) != X0+% 218.46/218.58 | op2(e21,e20) = op2(e21,e22)+% 218.46/218.58 | op2(e21,e22) != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_17770,plain,+% 218.46/218.58 ( op2(e21,e20) = op2(e21,e22)+% 218.46/218.58 | op2(e21,e20) != e23+% 218.46/218.58 | op2(e21,e22) != e23 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16674]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_16696,plain,+% 218.46/218.58 ( op2(e20,e23) != X0+% 218.46/218.58 | op2(e20,e23) = op2(e23,e23)+% 218.46/218.58 | op2(e23,e23) != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_17853,plain,+% 218.46/218.58 ( op2(e20,e23) = op2(e23,e23)+% 218.46/218.58 | op2(e20,e23) != e23+% 218.46/218.58 | op2(e23,e23) != e23 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16696]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_16712,plain,+% 218.46/218.58 ( op2(e20,e22) != X0+% 218.46/218.58 | op2(e20,e22) = op2(e21,e22)+% 218.46/218.58 | op2(e21,e22) != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_17931,plain,+% 218.46/218.58 ( op2(e20,e22) = op2(e21,e22)+% 218.46/218.58 | op2(e20,e22) != e21+% 218.46/218.58 | op2(e21,e22) != e21 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16712]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_18615,plain,+% 218.46/218.58 ( op2(e20,e23) != e23 | e23 = op2(e20,e23) | e23 != e23 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_18616,plain,+% 218.46/218.58 ( op2(e23,op2(e23,e23)) != e23+% 218.46/218.58 | e23 = op2(e23,op2(e23,e23))+% 218.46/218.58 | e23 != e23 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_18984,plain,+% 218.46/218.58 ( op2(e21,e22) = op2(e23,e22)+% 218.46/218.58 | op2(e21,e22) != e22+% 218.46/218.58 | op2(e23,e22) != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16704]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_19246,plain,+% 218.46/218.58 ( op2(e23,op2(e20,e23)) != e23+% 218.46/218.58 | e23 = op2(e23,op2(e20,e23))+% 218.46/218.58 | e23 != e23 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_17255,plain,+% 218.46/218.58 ( X0 != X1 | op2(e23,e22) != X1 | op2(e23,e22) = X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_18388,plain,+% 218.46/218.58 ( X0 != op2(e23,e22)+% 218.46/218.58 | op2(e23,e22) = X0+% 218.46/218.58 | op2(e23,e22) != op2(e23,e22) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_17255]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_20774,plain,+% 218.46/218.58 ( op2(e23,e22) != op2(e23,e22)+% 218.46/218.58 | op2(e23,e22) = e20+% 218.46/218.58 | e20 != op2(e23,e22) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_18388]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_18429,plain,+% 218.46/218.58 ( op2(e23,e20) = op2(X0,op2(e23,e23))+% 218.46/218.58 | e20 != op2(e23,e23)+% 218.46/218.58 | e23 != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_17279]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_20913,plain,+% 218.46/218.58 ( op2(e23,e20) = op2(e23,op2(e23,e23))+% 218.46/218.58 | e20 != op2(e23,e23)+% 218.46/218.58 | e23 != e23 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_18429]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_16753,plain,+% 218.46/218.58 ( e20 != X0 | e20 = e22 | e22 != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_22568,plain,+% 218.46/218.58 ( e20 != op2(e23,e20) | e20 = e22 | e22 != op2(e23,e20) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16753]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_22593,plain,+% 218.46/218.58 ( e20 != op2(e20,e23) | e20 = e23 | e23 != op2(e20,e23) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16751]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_23145,plain,+% 218.46/218.58 ( op2(e23,e23) != e22 | e22 = op2(e23,e23) | e22 != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_19519]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_23147,plain,+% 218.46/218.58 ( op2(e21,e20) != e22 | e22 = op2(e21,e20) | e22 != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_19519]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_23297,plain,+% 218.46/218.58 ( op2(e23,e20) != e22 | e22 = op2(e23,e20) | e22 != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_19519]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_16686,plain,+% 218.46/218.58 ( op2(e20,e20) != X0+% 218.46/218.58 | op2(e20,e20) = op2(e20,e22)+% 218.46/218.58 | op2(e20,e22) != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_25031,plain,+% 218.46/218.58 ( op2(e20,e20) = op2(e20,e22)+% 218.46/218.58 | op2(e20,e20) != e22+% 218.46/218.58 | op2(e20,e22) != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16686]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_16702,plain,+% 218.46/218.58 ( op2(e22,e22) != X0+% 218.46/218.58 | op2(e22,e22) = op2(e23,e22)+% 218.46/218.58 | op2(e23,e22) != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_25989,plain,+% 218.46/218.58 ( op2(e22,e22) = op2(e23,e22)+% 218.46/218.58 | op2(e22,e22) != e20+% 218.46/218.58 | op2(e23,e22) != e20 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16702]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_26605,plain,+% 218.46/218.58 ( op2(e20,e23) != e21 | e21 = op2(e20,e23) | e21 != e21 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_19525]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_27239,plain,+% 218.46/218.58 ( op2(e21,op2(e23,e21)) != e21+% 218.46/218.58 | op2(e22,e20) = op2(e21,op2(e23,e21))+% 218.46/218.58 | op2(e22,e20) != e21 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_18492]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_19985,plain,+% 218.46/218.58 ( op2(e21,e20) = op2(X0,op2(e23,e21))+% 218.46/218.58 | e20 != op2(e23,e21)+% 218.46/218.58 | e21 != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_17767]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_27939,plain,+% 218.46/218.58 ( op2(e21,e20) = op2(e21,op2(e23,e21))+% 218.46/218.58 | e20 != op2(e23,e21)+% 218.46/218.58 | e21 != e21 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_19985]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_17749,plain,+% 218.46/218.58 ( X0 != X1 | op2(e21,e21) != X1 | op2(e21,e21) = X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_22443,plain,+% 218.46/218.58 ( X0 != e21 | op2(e21,e21) = X0 | op2(e21,e21) != e21 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_17749]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_29330,plain,+% 218.46/218.58 ( op2(e21,op2(e23,e21)) != e21+% 218.46/218.58 | op2(e21,e21) = op2(e21,op2(e23,e21))+% 218.46/218.58 | op2(e21,e21) != e21 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_22443]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_35201,plain,+% 218.46/218.58 ( op2(e23,e23) != e21 | e21 = op2(e23,e23) | e21 != e21 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_31484]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_38851,plain,+% 218.46/218.58 ( op2(e21,e20) != op2(e21,op2(e23,e21))+% 218.46/218.58 | op2(e21,e20) = op2(e22,e20)+% 218.46/218.58 | op2(e22,e20) != op2(e21,op2(e23,e21)) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_29614]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_40255,plain,+% 218.46/218.58 ( op2(e23,e23) = op2(e23,op2(e20,e23))+% 218.46/218.58 | e23 != op2(e20,e23)+% 218.46/218.58 | e23 != e23 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_44601,plain,+% 218.46/218.58 ( op2(e23,e21) != e22 | e22 = op2(e23,e21) | e22 != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_31448]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_49003,plain,+% 218.46/218.58 ( op2(e22,e20) != e22 | e22 = op2(e22,e20) | e22 != e22 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_31448]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_60364,plain,+% 218.46/218.58 ( op2(e23,e23) != X0 | op2(e23,e23) = e23 | e23 != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_62013,plain,+% 218.46/218.58 ( op2(e23,e23) != op2(e23,op2(e20,e23))+% 218.46/218.58 | op2(e23,e23) = e23+% 218.46/218.58 | e23 != op2(e23,op2(e20,e23)) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_60364]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_60103,plain,+% 218.46/218.58 ( op2(e21,e22) = op2(X0,X1) | e21 != X0 | e22 != X1 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_61111,plain,+% 218.46/218.58 ( op2(e21,e22) = op2(e21,X0) | e21 != e21 | e22 != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_60103]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_68690,plain,+% 218.46/218.58 ( op2(e21,e22) = op2(e21,op2(e23,e21))+% 218.46/218.58 | e21 != e21+% 218.46/218.58 | e22 != op2(e23,e21) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_61111]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_59569,plain,+% 218.46/218.58 ( e21 != X0 | e21 = e22 | e22 != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_68974,plain,+% 218.46/218.58 ( e21 != op2(e22,e20) | e21 = e22 | e22 != op2(e22,e20) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_59569]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_69063,plain,+% 218.46/218.58 ( e21 != op2(e20,e23) | e21 = e23 | e23 != op2(e20,e23) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_59568]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_59527,plain,+% 218.46/218.58 ( op2(e21,e21) != X0+% 218.46/218.58 | op2(e21,e21) = op2(e21,e22)+% 218.46/218.58 | op2(e21,e22) != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_74870,plain,+% 218.46/218.58 ( op2(e21,e21) != op2(e21,op2(e23,e21))+% 218.46/218.58 | op2(e21,e21) = op2(e21,e22)+% 218.46/218.58 | op2(e21,e22) != op2(e21,op2(e23,e21)) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_59527]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_64639,plain,+% 218.46/218.58 ( X0 != op2(e23,op2(e23,e23))+% 218.46/218.58 | op2(e23,e20) = X0+% 218.46/218.58 | op2(e23,e20) != op2(e23,op2(e23,e23)) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_60047]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_76914,plain,+% 218.46/218.58 ( op2(e23,e20) != op2(e23,op2(e23,e23))+% 218.46/218.58 | op2(e23,e20) = e23+% 218.46/218.58 | e23 != op2(e23,op2(e23,e23)) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_64639]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_60203,plain,+% 218.46/218.58 ( X0 != X1 | e21 != X1 | e21 = X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_61363,plain,+% 218.46/218.58 ( X0 != e21 | e21 = X0 | e21 != e21 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_60203]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_77143,plain,+% 218.46/218.58 ( op2(e21,e23) != e21 | e21 = op2(e21,e23) | e21 != e21 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_61363]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_112325,plain,+% 218.46/218.58 ( e22 != op2(e21,e20) | e22 = e23 | e23 != op2(e21,e20) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_59567]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_112444,plain,+% 218.46/218.58 ( e21 != op2(e23,e23) | e21 = e22 | e22 != op2(e23,e23) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_59569]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_61,plain,+% 218.46/218.58 ( op2(e20,e22) = e21+% 218.46/218.58 | op2(e20,e22) = e22+% 218.46/218.58 | op2(e20,e22) = e23+% 218.46/218.58 | e20 = op2(e20,e22) ),+% 218.46/218.58 inference(cnf_transformation,[],[f110]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_178,plain,+% 218.46/218.58 ( op2(e20,e22) != op2(e22,e22) ),+% 218.46/218.58 inference(cnf_transformation,[],[f217]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_17790,plain,+% 218.46/218.58 ( op2(e20,e22) = op2(e20,e22) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_30557,plain,+% 218.46/218.58 ( X0 != X1 | op2(e20,e22) != X1 | op2(e20,e22) = X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_31597,plain,+% 218.46/218.58 ( X0 != op2(e20,e22)+% 218.46/218.58 | op2(e20,e22) = X0+% 218.46/218.58 | op2(e20,e22) != op2(e20,e22) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_30557]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_33694,plain,+% 218.46/218.58 ( op2(e20,e22) != op2(e20,e22)+% 218.46/218.58 | op2(e20,e22) = e20+% 218.46/218.58 | e20 != op2(e20,e22) ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_31597]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_29604,plain,+% 218.46/218.58 ( op2(e20,e22) != X0+% 218.46/218.58 | op2(e20,e22) = op2(e22,e22)+% 218.46/218.58 | op2(e22,e22) != X0 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.58 +% 218.46/218.58 cnf(c_39126,plain,+% 218.46/218.58 ( op2(e20,e22) = op2(e22,e22)+% 218.46/218.58 | op2(e20,e22) != e20+% 218.46/218.58 | op2(e22,e22) != e20 ),+% 218.46/218.58 inference(instantiation,[status(thm)],[c_29604]) ).+% 218.46/218.58 +% 218.46/218.59 cnf(c_138056,plain,+% 218.46/218.59 ( op2(e20,e22) = e23 | op2(e20,e22) = e22 | op2(e20,e22) = e21 ),+% 218.46/218.59 inference(global_propositional_subsumption,+% 218.46/218.59 [status(thm)],+% 218.46/218.59 [c_61,c_257,c_178,c_17300,c_17790,c_21017,c_33694,+% 218.46/218.59 c_39126]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_138057,plain,+% 218.46/218.59 ( op2(e20,e22) = e21 | op2(e20,e22) = e22 | op2(e20,e22) = e23 ),+% 218.46/218.59 inference(renaming,[status(thm)],[c_138056]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_70,plain,+% 218.46/218.59 ( e20 = op2(e20,e23)+% 218.46/218.59 | e20 = op2(e21,e23)+% 218.46/218.59 | e20 = op2(e22,e23)+% 218.46/218.59 | e20 = op2(e23,e23) ),+% 218.46/218.59 inference(cnf_transformation,[],[f149]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_189,plain,+% 218.46/218.59 ( op2(e20,e20) != op2(e23,e20) ),+% 218.46/218.59 inference(cnf_transformation,[],[f206]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_185,plain,+% 218.46/218.59 ( op2(e20,e21) != op2(e21,e21) ),+% 218.46/218.59 inference(cnf_transformation,[],[f210]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_181,plain,+% 218.46/218.59 ( op2(e21,e21) != op2(e23,e21) ),+% 218.46/218.59 inference(cnf_transformation,[],[f214]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_95,plain,+% 218.46/218.59 ( e20 = op2(e20,e20)+% 218.46/218.59 | e20 = op2(e20,e21)+% 218.46/218.59 | e20 = op2(e20,e22)+% 218.46/218.59 | e20 = op2(e20,e23) ),+% 218.46/218.59 inference(cnf_transformation,[],[f124]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_17261,plain,+% 218.46/218.59 ( op2(e23,e21) = op2(e23,e21) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_17276,plain,+% 218.46/218.59 ( op2(e23,e20) = op2(e23,e20) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_17748,plain,+% 218.46/218.59 ( op2(e21,e21) = op2(e21,e21) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_17800,plain,+% 218.46/218.59 ( op2(e20,e21) = op2(e20,e21) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_17816,plain,+% 218.46/218.59 ( op2(e20,e20) = op2(e20,e20) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_17262,plain,+% 218.46/218.59 ( X0 != X1 | op2(e23,e21) != X1 | op2(e23,e21) = X0 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_18404,plain,+% 218.46/218.59 ( X0 != op2(e23,e21)+% 218.46/218.59 | op2(e23,e21) = X0+% 218.46/218.59 | op2(e23,e21) != op2(e23,e21) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_17262]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_20804,plain,+% 218.46/218.59 ( op2(e23,e21) != op2(e23,e21)+% 218.46/218.59 | op2(e23,e21) = e20+% 218.46/218.59 | e20 != op2(e23,e21) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_18404]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_17277,plain,+% 218.46/218.59 ( X0 != X1 | op2(e23,e20) != X1 | op2(e23,e20) = X0 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_18423,plain,+% 218.46/218.59 ( X0 != op2(e23,e20)+% 218.46/218.59 | op2(e23,e20) = X0+% 218.46/218.59 | op2(e23,e20) != op2(e23,e20) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_17277]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_22582,plain,+% 218.46/218.59 ( op2(e23,e20) != op2(e23,e20)+% 218.46/218.59 | op2(e23,e20) = e20+% 218.46/218.59 | e20 != op2(e23,e20) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_18423]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_17817,plain,+% 218.46/218.59 ( X0 != X1 | op2(e20,e20) != X1 | op2(e20,e20) = X0 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_20519,plain,+% 218.46/218.59 ( X0 != op2(e20,e20)+% 218.46/218.59 | op2(e20,e20) = X0+% 218.46/218.59 | op2(e20,e20) != op2(e20,e20) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_17817]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_28292,plain,+% 218.46/218.59 ( op2(e20,e20) != op2(e20,e20)+% 218.46/218.59 | op2(e20,e20) = e20+% 218.46/218.59 | e20 != op2(e20,e20) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_20519]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_30184,plain,+% 218.46/218.59 ( X0 != X1 | op2(e21,e21) != X1 | op2(e21,e21) = X0 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_31157,plain,+% 218.46/218.59 ( X0 != op2(e21,e21)+% 218.46/218.59 | op2(e21,e21) = X0+% 218.46/218.59 | op2(e21,e21) != op2(e21,e21) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_30184]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_33412,plain,+% 218.46/218.59 ( op2(e21,e21) != op2(e21,e21)+% 218.46/218.59 | op2(e21,e21) = e20+% 218.46/218.59 | e20 != op2(e21,e21) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_31157]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_29607,plain,+% 218.46/218.59 ( op2(e21,e21) != X0+% 218.46/218.59 | op2(e21,e21) = op2(e23,e21)+% 218.46/218.59 | op2(e23,e21) != X0 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_38806,plain,+% 218.46/218.59 ( op2(e21,e21) = op2(e23,e21)+% 218.46/218.59 | op2(e21,e21) != e20+% 218.46/218.59 | op2(e23,e21) != e20 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_29607]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_30564,plain,+% 218.46/218.59 ( X0 != X1 | op2(e20,e21) != X1 | op2(e20,e21) = X0 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_31689,plain,+% 218.46/218.59 ( X0 != op2(e20,e21)+% 218.46/218.59 | op2(e20,e21) = X0+% 218.46/218.59 | op2(e20,e21) != op2(e20,e21) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_30564]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_44653,plain,+% 218.46/218.59 ( op2(e20,e21) != op2(e20,e21)+% 218.46/218.59 | op2(e20,e21) = e20+% 218.46/218.59 | e20 != op2(e20,e21) ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_31689]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_59554,plain,+% 218.46/218.59 ( op2(e20,e21) != X0+% 218.46/218.59 | op2(e20,e21) = op2(e21,e21)+% 218.46/218.59 | op2(e21,e21) != X0 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_69665,plain,+% 218.46/218.59 ( op2(e20,e21) = op2(e21,e21)+% 218.46/218.59 | op2(e20,e21) != e20+% 218.46/218.59 | op2(e21,e21) != e20 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_59554]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_59558,plain,+% 218.46/218.59 ( op2(e20,e20) != X0+% 218.46/218.59 | op2(e20,e20) = op2(e23,e20)+% 218.46/218.59 | op2(e23,e20) != X0 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_88488,plain,+% 218.46/218.59 ( op2(e20,e20) = op2(e23,e20)+% 218.46/218.59 | op2(e20,e20) != e20+% 218.46/218.59 | op2(e23,e20) != e20 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_59558]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_138068,plain,+% 218.46/218.59 ( e20 = op2(e21,e23) | e20 = op2(e20,e23) | e20 = op2(e23,e23) ),+% 218.46/218.59 inference(global_propositional_subsumption,+% 218.46/218.59 [status(thm)],+% 218.46/218.59 [c_70,c_257,c_256,c_255,c_203,c_201,c_199,c_191,c_189,+% 218.46/218.59 c_187,c_185,c_181,c_178,c_176,c_174,c_155,c_153,c_95,+% 218.46/218.59 c_88,c_87,c_77,c_71,c_16905,c_17254,c_17261,c_17276,+% 218.46/218.59 c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,+% 218.46/218.59 c_17748,c_17790,c_17800,c_17816,c_18617,c_18997,c_19346,+% 218.46/218.59 c_20774,c_20804,c_21017,c_21159,c_21422,c_22510,c_22582,+% 218.46/218.59 c_25989,c_26105,c_26103,c_26603,c_26610,c_27945,c_28292,+% 218.46/218.59 c_33412,c_33694,c_33893,c_34088,c_36100,c_38580,c_38806,+% 218.46/218.59 c_38896,c_39126,c_39778,c_44248,c_44653,c_51437,c_68501,+% 218.46/218.59 c_68975,c_69665,c_88488,c_95072,c_102572]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_138069,plain,+% 218.46/218.59 ( e20 = op2(e20,e23) | e20 = op2(e21,e23) | e20 = op2(e23,e23) ),+% 218.46/218.59 inference(renaming,[status(thm)],[c_138068]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_85,plain,+% 218.46/218.59 ( op2(e21,e20) = e21+% 218.46/218.59 | op2(e21,e21) = e21+% 218.46/218.59 | op2(e21,e22) = e21+% 218.46/218.59 | op2(e21,e23) = e21 ),+% 218.46/218.59 inference(cnf_transformation,[],[f134]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_16730,plain,+% 218.46/218.59 ( op2(e21,e20) != X0+% 218.46/218.59 | op2(e21,e20) = op2(e22,e20)+% 218.46/218.59 | op2(e22,e20) != X0 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.59 +% 218.46/218.59 cnf(c_17998,plain,+% 218.46/218.59 ( op2(e21,e20) = op2(e22,e20)+% 218.46/218.59 | op2(e21,e20) != e21+% 218.46/218.59 | op2(e22,e20) != e21 ),+% 218.46/218.59 inference(instantiation,[status(thm)],[c_16730]) ).+% 218.46/218.59 +% 218.46/218.60 cnf(c_138092,plain,+% 218.46/218.60 ( op2(e21,e21) = e21 | op2(e21,e22) = e21 | op2(e21,e23) = e21 ),+% 218.46/218.60 inference(global_propositional_subsumption,+% 218.46/218.60 [status(thm)],+% 218.46/218.60 [c_85,c_257,c_256,c_203,c_188,c_155,c_153,c_77,c_17349,+% 218.46/218.60 c_17350,c_17427,c_17431,c_17554,c_17998,c_21159,c_21422,+% 218.46/218.60 c_26105,c_26103,c_34088,c_36100]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_138100,plain,+% 218.46/218.60 ( op2(e20,e21) = e23 | op2(e20,e22) = e23 | op2(e20,e23) = e23 ),+% 218.46/218.60 inference(global_propositional_subsumption,+% 218.46/218.60 [status(thm)],+% 218.46/218.60 [c_89,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,+% 218.46/218.60 c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_176,+% 218.46/218.60 c_175,c_174,c_171,c_166,c_160,c_158,c_155,c_153,c_90,+% 218.46/218.60 c_88,c_87,c_77,c_71,c_68,c_67,c_57,c_1865,c_1969,+% 218.46/218.60 c_16905,c_17254,c_17300,c_17349,c_17350,c_17427,c_17431,+% 218.46/218.60 c_17554,c_17556,c_17740,c_17770,c_17853,c_17931,c_18615,+% 218.46/218.60 c_18616,c_18617,c_18984,c_18997,c_19246,c_19346,c_20774,+% 218.46/218.60 c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,+% 218.46/218.60 c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,+% 218.46/218.60 c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,c_27237,+% 218.46/218.60 c_27239,c_27939,c_27945,c_29330,c_33461,c_33893,c_34088,+% 218.46/218.60 c_35201,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,+% 218.46/218.60 c_39778,c_40255,c_44248,c_44601,c_49003,c_51437,c_62013,+% 218.46/218.60 c_68501,c_68690,c_68975,c_68974,c_69063,c_74870,c_76914,+% 218.46/218.60 c_77143,c_95072,c_102572,c_107767,c_112325,c_112444,+% 218.46/218.60 c_138057,c_138069,c_138092]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_138217,plain,+% 218.46/218.60 ( op2(e20,e21) != X0+% 218.46/218.60 | op2(e20,e21) = op2(e20,e23)+% 218.46/218.60 | op2(e20,e23) != X0 ),+% 218.46/218.60 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_163,plain,+% 218.46/218.60 ( op2(e20,e21) != op2(e20,e23) ),+% 218.46/218.60 inference(cnf_transformation,[],[f232]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_16680,plain,+% 218.46/218.60 ( op2(e20,e21) != X0+% 218.46/218.60 | op2(e20,e21) = op2(e20,e23)+% 218.46/218.60 | op2(e20,e23) != X0 ),+% 218.46/218.60 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_139503,plain,+% 218.46/218.60 ( op2(e20,e21) != X0 | op2(e20,e23) != X0 ),+% 218.46/218.60 inference(global_propositional_subsumption,+% 218.46/218.60 [status(thm)],+% 218.46/218.60 [c_138217,c_163,c_16680]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_139506,plain,+% 218.46/218.60 ( op2(e20,e21) != e23 | op2(e20,e23) != e23 ),+% 218.46/218.60 inference(instantiation,[status(thm)],[c_139503]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_162,plain,+% 218.46/218.60 ( op2(e20,e22) != op2(e20,e23) ),+% 218.46/218.60 inference(cnf_transformation,[],[f233]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_16678,plain,+% 218.46/218.60 ( op2(e20,e22) != X0+% 218.46/218.60 | op2(e20,e22) = op2(e20,e23)+% 218.46/218.60 | op2(e20,e23) != X0 ),+% 218.46/218.60 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_17786,plain,+% 218.46/218.60 ( op2(e20,e22) = op2(e20,e23)+% 218.46/218.60 | op2(e20,e22) != e23+% 218.46/218.60 | op2(e20,e23) != e23 ),+% 218.46/218.60 inference(instantiation,[status(thm)],[c_16678]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_17799,plain,+% 218.46/218.60 ( op2(e20,e21) != op2(e20,e21)+% 218.46/218.60 | op2(e20,e21) = op2(e20,e23)+% 218.46/218.60 | op2(e20,e23) != op2(e20,e21) ),+% 218.46/218.60 inference(instantiation,[status(thm)],[c_16680]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_60506,plain,+% 218.46/218.60 ( X0 != X1 | op2(e20,e23) != X1 | op2(e20,e23) = X0 ),+% 218.46/218.60 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_77156,plain,+% 218.46/218.60 ( X0 != e23 | op2(e20,e23) = X0 | op2(e20,e23) != e23 ),+% 218.46/218.60 inference(instantiation,[status(thm)],[c_60506]) ).+% 218.46/218.60 +% 218.46/218.60 cnf(c_115060,plain,+% 218.46/218.60 ( op2(e20,e21) != e23+% 218.46/218.60 | op2(e20,e23) = op2(e20,e21)+% 218.46/218.60 | op2(e20,e23) != e23 ),+% 218.46/218.60 inference(instantiation,[status(thm)],[c_77156]) ).+% 218.46/218.60 +% 218.46/218.61 cnf(c_140675,plain,+% 218.46/218.61 ( op2(e20,e23) != e23 ),+% 218.46/218.61 inference(global_propositional_subsumption,+% 218.46/218.61 [status(thm)],+% 218.46/218.61 [c_139506,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.46/218.61 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,+% 218.46/218.61 c_176,c_175,c_174,c_171,c_166,c_163,c_162,c_160,c_158,+% 218.46/218.61 c_155,c_153,c_90,c_89,c_88,c_87,c_77,c_71,c_68,c_67,+% 218.46/218.61 c_57,c_1865,c_1969,c_16905,c_17254,c_17300,c_17349,+% 218.46/218.61 c_17350,c_17427,c_17431,c_17554,c_17556,c_17740,c_17770,+% 218.46/218.61 c_17786,c_17799,c_17800,c_17853,c_17931,c_18615,c_18616,+% 218.46/218.61 c_18617,c_18984,c_18997,c_19246,c_19346,c_20774,c_20913,+% 218.46/218.61 c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_22568,+% 218.46/218.61 c_22593,c_23145,c_23147,c_23297,c_23671,c_25031,c_25989,+% 218.46/218.61 c_26105,c_26103,c_26603,c_26605,c_26610,c_27237,c_27239,+% 218.46/218.61 c_27939,c_27945,c_29330,c_33461,c_33893,c_34088,c_35201,+% 218.46/218.61 c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39778,+% 218.46/218.61 c_40255,c_44248,c_44601,c_49003,c_51437,c_62013,c_68501,+% 218.46/218.61 c_68690,c_68975,c_68974,c_69063,c_74870,c_76914,c_77143,+% 218.46/218.61 c_95072,c_102572,c_107767,c_112325,c_112444,c_115060,+% 218.46/218.61 c_138057,c_138069,c_138092]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_140296,plain,+% 218.46/218.61 ( X0 != X1 | X0 = e23 | e23 != X1 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_141754,plain,+% 218.46/218.61 ( X0 != op2(e23,op2(e20,e23))+% 218.46/218.61 | X0 = e23+% 218.46/218.61 | e23 != op2(e23,op2(e20,e23)) ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_140296]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_148768,plain,+% 218.46/218.61 ( op2(e23,e22) != op2(e23,op2(e20,e23))+% 218.46/218.61 | op2(e23,e22) = e23+% 218.46/218.61 | e23 != op2(e23,op2(e20,e23)) ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_141754]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_153047,plain,+% 218.46/218.61 ( X0 != X1+% 218.46/218.61 | op2(e23,op2(e20,e23)) != X1+% 218.46/218.61 | op2(e23,op2(e20,e23)) = X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_166448,plain,+% 218.46/218.61 ( X0 != e23+% 218.46/218.61 | op2(e23,op2(e20,e23)) = X0+% 218.46/218.61 | op2(e23,op2(e20,e23)) != e23 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_153047]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_181809,plain,+% 218.46/218.61 ( op2(e20,e21) != e23+% 218.46/218.61 | op2(e23,op2(e20,e23)) = op2(e20,e21)+% 218.46/218.61 | op2(e23,op2(e20,e23)) != e23 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_166448]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_139509,plain,+% 218.46/218.61 ( X0 != X1 | op2(e20,e21) != X1 | op2(e20,e21) = X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_140941,plain,+% 218.46/218.61 ( X0 != e23 | op2(e20,e21) = X0 | op2(e20,e21) != e23 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_139509]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_143342,plain,+% 218.46/218.61 ( op2(e20,e21) = op2(e23,op2(e20,e23))+% 218.46/218.61 | op2(e20,e21) != e23+% 218.46/218.61 | op2(e23,op2(e20,e23)) != e23 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_140941]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_184,plain,+% 218.46/218.61 ( op2(e20,e21) != op2(e22,e21) ),+% 218.46/218.61 inference(cnf_transformation,[],[f211]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_183,plain,+% 218.46/218.61 ( op2(e20,e21) != op2(e23,e21) ),+% 218.46/218.61 inference(cnf_transformation,[],[f212]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_180,plain,+% 218.46/218.61 ( op2(e22,e21) != op2(e23,e21) ),+% 218.46/218.61 inference(cnf_transformation,[],[f215]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_177,plain,+% 218.46/218.61 ( op2(e20,e22) != op2(e23,e22) ),+% 218.46/218.61 inference(cnf_transformation,[],[f218]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_164,plain,+% 218.46/218.61 ( op2(e20,e21) != op2(e20,e22) ),+% 218.46/218.61 inference(cnf_transformation,[],[f231]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_151,plain,+% 218.46/218.61 ( op2(e22,e21) != op2(e22,e23) ),+% 218.46/218.61 inference(cnf_transformation,[],[f244]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_146,plain,+% 218.46/218.61 ( op2(e23,e21) != op2(e23,e22) ),+% 218.46/218.61 inference(cnf_transformation,[],[f249]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_50,plain,+% 218.46/218.61 ( op2(e23,e21) = e21+% 218.46/218.61 | op2(e23,e21) = e22+% 218.46/218.61 | op2(e23,e21) = e23+% 218.46/218.61 | e20 = op2(e23,e21) ),+% 218.46/218.61 inference(cnf_transformation,[],[f121]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_1917,plain,+% 218.46/218.61 ( sP4+% 218.46/218.61 | sP5+% 218.46/218.61 | op2(e22,op2(e23,e22)) = e22+% 218.46/218.61 | op2(e23,op2(e20,e23)) = e23 ),+% 218.46/218.61 inference(resolution,[status(thm)],[c_249,c_244]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_16682,plain,+% 218.46/218.61 ( op2(e20,e21) != X0+% 218.46/218.61 | op2(e20,e21) = op2(e20,e22)+% 218.46/218.61 | op2(e20,e22) != X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_17806,plain,+% 218.46/218.61 ( op2(e20,e21) = op2(e20,e22)+% 218.46/218.61 | op2(e20,e21) != e23+% 218.46/218.61 | op2(e20,e22) != e23 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16682]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_17835,plain,+% 218.46/218.61 ( op2(e22,e23) = op2(e22,e23) ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_16708,plain,+% 218.46/218.61 ( op2(e20,e22) != X0+% 218.46/218.61 | op2(e20,e22) = op2(e23,e22)+% 218.46/218.61 | op2(e23,e22) != X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_17914,plain,+% 218.46/218.61 ( op2(e20,e22) = op2(e23,e22)+% 218.46/218.61 | op2(e20,e22) != e22+% 218.46/218.61 | op2(e23,e22) != e22 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16708]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_16720,plain,+% 218.46/218.61 ( op2(e20,e21) != X0+% 218.46/218.61 | op2(e20,e21) = op2(e23,e21)+% 218.46/218.61 | op2(e23,e21) != X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_17955,plain,+% 218.46/218.61 ( op2(e20,e21) = op2(e23,e21)+% 218.46/218.61 | op2(e20,e21) != e23+% 218.46/218.61 | op2(e23,e21) != e23 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16720]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_16722,plain,+% 218.46/218.61 ( op2(e20,e21) != X0+% 218.46/218.61 | op2(e20,e21) = op2(e22,e21)+% 218.46/218.61 | op2(e22,e21) != X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_17963,plain,+% 218.46/218.61 ( op2(e20,e21) = op2(e22,e21)+% 218.46/218.61 | op2(e20,e21) != e23+% 218.46/218.61 | op2(e22,e21) != e23 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16722]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_16656,plain,+% 218.46/218.61 ( op2(e22,e21) != X0+% 218.46/218.61 | op2(e22,e21) = op2(e22,e23)+% 218.46/218.61 | op2(e22,e23) != X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_18943,plain,+% 218.46/218.61 ( op2(e22,e21) = op2(e22,e23)+% 218.46/218.61 | op2(e22,e21) != e22+% 218.46/218.61 | op2(e22,e23) != e22 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16656]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_16714,plain,+% 218.46/218.61 ( op2(e22,e21) != X0+% 218.46/218.61 | op2(e22,e21) = op2(e23,e21)+% 218.46/218.61 | op2(e23,e21) != X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_18941,plain,+% 218.46/218.61 ( op2(e22,e21) = op2(e23,e21)+% 218.46/218.61 | op2(e22,e21) != e22+% 218.46/218.61 | op2(e23,e21) != e22 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16714]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_16646,plain,+% 218.46/218.61 ( op2(e23,e21) != X0+% 218.46/218.61 | op2(e23,e21) = op2(e23,e22)+% 218.46/218.61 | op2(e23,e22) != X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_22697,plain,+% 218.46/218.61 ( op2(e23,e21) = op2(e23,e22)+% 218.46/218.61 | op2(e23,e21) != e21+% 218.46/218.61 | op2(e23,e22) != e21 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16646]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_33326,plain,+% 218.46/218.61 ( op2(e22,op2(e23,e22)) != e22+% 218.46/218.61 | e22 = op2(e22,op2(e23,e22))+% 218.46/218.61 | e22 != e22 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_31448]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_74808,plain,+% 218.46/218.61 ( op2(e22,e23) != op2(e22,op2(e23,e22))+% 218.46/218.61 | op2(e22,e23) = e22+% 218.46/218.61 | e22 != op2(e22,op2(e23,e22)) ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_60387]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_64704,plain,+% 218.46/218.61 ( X0 != e22 | X1 != e23 | op2(X0,X1) = op2(e22,e23) ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_70858,plain,+% 218.46/218.61 ( X0 != e23 | op2(e22,X0) = op2(e22,e23) | e22 != e22 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_64704]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_107860,plain,+% 218.46/218.61 ( op2(e22,op2(e23,e22)) = op2(e22,e23)+% 218.46/218.61 | op2(e23,e22) != e23+% 218.46/218.61 | e22 != e22 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_70858]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_60459,plain,+% 218.46/218.61 ( X0 != X1 | op2(e20,e21) != X1 | op2(e20,e21) = X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_115078,plain,+% 218.46/218.61 ( X0 != e23 | op2(e20,e21) = X0 | op2(e20,e21) != e23 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_60459]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_127392,plain,+% 218.46/218.61 ( op2(e20,e21) = op2(e23,op2(e20,e23))+% 218.46/218.61 | op2(e20,e21) != e23+% 218.46/218.61 | op2(e23,op2(e20,e23)) != e23 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_115078]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_60488,plain,+% 218.46/218.61 ( X0 != X1 | op2(e22,e23) != X1 | op2(e22,e23) = X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_62238,plain,+% 218.46/218.61 ( X0 != op2(e22,e23)+% 218.46/218.61 | op2(e22,e23) = X0+% 218.46/218.61 | op2(e22,e23) != op2(e22,e23) ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_60488]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_129125,plain,+% 218.46/218.61 ( op2(e22,op2(e23,e22)) != op2(e22,e23)+% 218.46/218.61 | op2(e22,e23) = op2(e22,op2(e23,e22))+% 218.46/218.61 | op2(e22,e23) != op2(e22,e23) ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_62238]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_49,plain,+% 218.46/218.61 ( op2(e23,e22) = e21+% 218.46/218.61 | op2(e23,e22) = e22+% 218.46/218.61 | op2(e23,e22) = e23+% 218.46/218.61 | e20 = op2(e23,e22) ),+% 218.46/218.61 inference(cnf_transformation,[],[f122]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_138038,plain,+% 218.46/218.61 ( op2(e23,e22) = e23 | op2(e23,e22) = e22 | op2(e23,e22) = e21 ),+% 218.46/218.61 inference(global_propositional_subsumption,+% 218.46/218.61 [status(thm)],+% 218.46/218.61 [c_49,c_257,c_174,c_17254,c_17300,c_20774,c_21017,+% 218.46/218.61 c_25989]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_138039,plain,+% 218.46/218.61 ( op2(e23,e22) = e21 | op2(e23,e22) = e22 | op2(e23,e22) = e23 ),+% 218.46/218.61 inference(renaming,[status(thm)],[c_138038]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_54,plain,+% 218.46/218.61 ( op2(e22,e21) = e21+% 218.46/218.61 | op2(e22,e21) = e22+% 218.46/218.61 | op2(e22,e21) = e23+% 218.46/218.61 | e20 = op2(e22,e21) ),+% 218.46/218.61 inference(cnf_transformation,[],[f117]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_152,plain,+% 218.46/218.61 ( op2(e22,e21) != op2(e22,e22) ),+% 218.46/218.61 inference(cnf_transformation,[],[f243]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_17335,plain,+% 218.46/218.61 ( op2(e22,e21) = op2(e22,e21) ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_18479,plain,+% 218.46/218.61 ( X0 != op2(e22,e21)+% 218.46/218.61 | op2(e22,e21) = X0+% 218.46/218.61 | op2(e22,e21) != op2(e22,e21) ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_17336]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_21045,plain,+% 218.46/218.61 ( op2(e22,e21) != op2(e22,e21)+% 218.46/218.61 | op2(e22,e21) = e20+% 218.46/218.61 | e20 != op2(e22,e21) ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_18479]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_59521,plain,+% 218.46/218.61 ( op2(e22,e21) != X0+% 218.46/218.61 | op2(e22,e21) = op2(e22,e22)+% 218.46/218.61 | op2(e22,e22) != X0 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_68261,plain,+% 218.46/218.61 ( op2(e22,e21) = op2(e22,e22)+% 218.46/218.61 | op2(e22,e21) != e20+% 218.46/218.61 | op2(e22,e22) != e20 ),+% 218.46/218.61 inference(instantiation,[status(thm)],[c_59521]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_138044,plain,+% 218.46/218.61 ( op2(e22,e21) = e23 | op2(e22,e21) = e22 ),+% 218.46/218.61 inference(global_propositional_subsumption,+% 218.46/218.61 [status(thm)],+% 218.46/218.61 [c_54,c_257,c_256,c_155,c_152,c_17300,c_17335,c_17427,+% 218.46/218.61 c_21017,c_21045,c_21159,c_21422,c_26105,c_68261]) ).+% 218.46/218.61 +% 218.46/218.61 cnf(c_138045,plain,+% 218.46/218.61 ( op2(e22,e21) = e22 | op2(e22,e21) = e23 ),+% 218.46/218.61 inference(renaming,[status(thm)],[c_138044]) ).+% 218.46/218.61 +% 218.46/218.62 cnf(c_138050,plain,+% 218.46/218.62 ( op2(e21,e22) = e21 | op2(e21,e22) = e22 ),+% 218.46/218.62 inference(global_propositional_subsumption,+% 218.46/218.62 [status(thm)],+% 218.46/218.62 [c_57,c_257,c_256,c_255,c_203,c_199,c_191,c_187,c_176,+% 218.46/218.62 c_160,c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,+% 218.46/218.62 c_17350,c_17427,c_17431,c_17554,c_17740,c_17770,c_18617,+% 218.46/218.62 c_19346,c_21017,c_21159,c_21422,c_26105,c_26103,c_26603,+% 218.46/218.62 c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,+% 218.46/218.62 c_39778,c_44248,c_51437,c_68501,c_68975,c_95072,+% 218.46/218.62 c_102572]) ).+% 218.46/218.62 +% 218.46/218.62 cnf(c_138233,plain,+% 218.46/218.62 ( op2(e20,e22) != X0+% 218.46/218.62 | op2(e20,e22) = op2(e21,e22)+% 218.46/218.62 | op2(e21,e22) != X0 ),+% 218.46/218.62 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.46/218.62 +% 218.46/218.62 cnf(c_139655,plain,+% 218.46/218.62 ( op2(e20,e22) != X0 | op2(e21,e22) != X0 ),+% 218.46/218.62 inference(global_propositional_subsumption,+% 218.46/218.62 [status(thm)],+% 218.46/218.62 [c_138233,c_179,c_16712]) ).+% 218.46/218.62 +% 218.46/218.62 cnf(c_139658,plain,+% 218.46/218.62 ( op2(e20,e22) != e21 | op2(e21,e22) != e21 ),+% 218.46/218.62 inference(instantiation,[status(thm)],[c_139655]) ).+% 218.46/218.62 +% 218.46/218.62 cnf(c_149956,plain,+% 218.46/218.62 ( op2(e20,e21) != e23 | op2(e20,e21) = op2(e23,op2(e20,e23)) ),+% 218.46/218.62 inference(global_propositional_subsumption,+% 218.46/218.62 [status(thm)],+% 218.46/218.62 [c_143342,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.46/218.62 c_201,c_200,c_199,c_191,c_188,c_187,c_184,c_183,c_180,+% 218.46/218.62 c_178,c_177,c_176,c_175,c_164,c_155,c_153,c_152,c_151,+% 218.46/218.62 c_146,c_88,c_87,c_77,c_61,c_54,c_50,c_1865,c_1917,+% 218.46/218.62 c_16905,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,+% 218.46/218.62 c_17554,c_17740,c_17790,c_17806,c_17835,c_17914,c_17955,+% 218.46/218.62 c_17963,c_18617,c_18943,c_18941,c_18971,c_18997,c_19346,+% 218.46/218.62 c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,c_22510,+% 218.46/218.62 c_22697,c_23671,c_26105,c_26103,c_26603,c_26610,c_27237,+% 218.46/218.62 c_27239,c_27939,c_27945,c_33326,c_33461,c_33694,c_33893,+% 218.46/218.62 c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,+% 218.46/218.62 c_39126,c_39778,c_44248,c_51437,c_68261,c_68501,c_68975,+% 218.46/218.62 c_74808,c_95072,c_102572,c_107767,c_107860,c_108004,+% 218.46/218.62 c_127392,c_129125,c_138039,c_138050,c_139658]) ).+% 218.46/218.62 +% 218.46/218.62 cnf(c_149957,plain,+% 218.46/218.62 ( op2(e20,e21) = op2(e23,op2(e20,e23)) | op2(e20,e21) != e23 ),+% 218.46/218.62 inference(renaming,[status(thm)],[c_149956]) ).+% 218.46/218.62 +% 218.46/218.62 cnf(c_166462,plain,+% 218.46/218.62 ( X0 != op2(e23,op2(e20,e23))+% 218.46/218.62 | op2(e23,op2(e20,e23)) = X0+% 218.46/218.62 | op2(e23,op2(e20,e23)) != op2(e23,op2(e20,e23)) ),+% 218.46/218.62 inference(instantiation,[status(thm)],[c_153047]) ).+% 218.46/218.62 +% 218.46/218.62 cnf(c_17857,plain,+% 218.46/218.62 ( op2(e20,e23) = op2(e20,e23) ),+% 218.46/218.62 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.46/218.62 +% 218.46/218.62 cnf(c_40811,plain,+% 218.46/218.62 ( X0 != op2(e20,e23)+% 218.46/218.62 | X1 != e23+% 218.46/218.62 | op2(X1,X0) = op2(e23,op2(e20,e23)) ),+% 218.46/218.62 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.46/218.62 +% 218.46/218.62 cnf(c_51993,plain,+% 218.46/218.62 ( X0 != op2(e20,e23)+% 218.46/218.62 | op2(e23,X0) = op2(e23,op2(e20,e23))+% 218.46/218.62 | e23 != e23 ),+% 218.46/218.62 inference(instantiation,[status(thm)],[c_40811]) ).+% 218.46/218.62 +% 218.46/218.62 cnf(c_55999,plain,+% 218.46/218.62 ( op2(e20,e23) != op2(e20,e23)+% 218.46/218.62 | op2(e23,op2(e20,e23)) = op2(e23,op2(e20,e23))+% 218.46/218.62 | e23 != e23 ),+% 218.46/218.62 inference(instantiation,[status(thm)],[c_51993]) ).+% 218.46/218.62 +% 218.53/218.63 cnf(c_181827,plain,+% 218.53/218.63 ( op2(e23,op2(e20,e23)) = X0 | X0 != op2(e23,op2(e20,e23)) ),+% 218.53/218.63 inference(global_propositional_subsumption,+% 218.53/218.63 [status(thm)],+% 218.53/218.63 [c_166462,c_16905,c_17857,c_55999]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_181828,plain,+% 218.53/218.63 ( X0 != op2(e23,op2(e20,e23)) | op2(e23,op2(e20,e23)) = X0 ),+% 218.53/218.63 inference(renaming,[status(thm)],[c_181827]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_181850,plain,+% 218.53/218.63 ( op2(e20,e21) != op2(e23,op2(e20,e23))+% 218.53/218.63 | op2(e23,op2(e20,e23)) = op2(e20,e21) ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_181828]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_212875,plain,+% 218.53/218.63 ( op2(e23,op2(e20,e23)) = op2(e20,e21) | op2(e20,e21) != e23 ),+% 218.53/218.63 inference(global_propositional_subsumption,+% 218.53/218.63 [status(thm)],+% 218.53/218.63 [c_181809,c_149957,c_181850]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_212876,plain,+% 218.53/218.63 ( op2(e20,e21) != e23 | op2(e23,op2(e20,e23)) = op2(e20,e21) ),+% 218.53/218.63 inference(renaming,[status(thm)],[c_212875]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_138390,plain,+% 218.53/218.63 ( X0 != X1 | e23 != X1 | e23 = X0 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_141652,plain,+% 218.53/218.63 ( X0 != op2(e20,e21) | e23 = X0 | e23 != op2(e20,e21) ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_138390]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_212882,plain,+% 218.53/218.63 ( op2(e23,op2(e20,e23)) != op2(e20,e21)+% 218.53/218.63 | e23 != op2(e20,e21)+% 218.53/218.63 | e23 = op2(e23,op2(e20,e23)) ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_141652]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_153049,plain,+% 218.53/218.63 ( op2(e20,e23) != X0+% 218.53/218.63 | op2(e23,op2(e20,e23)) = op2(X1,X0)+% 218.53/218.63 | e23 != X1 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_166487,plain,+% 218.53/218.63 ( op2(e20,e23) != X0+% 218.53/218.63 | op2(e23,op2(e20,e23)) = op2(op2(e20,e21),X0)+% 218.53/218.63 | e23 != op2(e20,e21) ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_153049]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_182201,plain,+% 218.53/218.63 ( op2(e20,e23) != e22+% 218.53/218.63 | op2(e23,op2(e20,e23)) = op2(op2(e20,e21),e22)+% 218.53/218.63 | e23 != op2(e20,e21) ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_166487]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_173,plain,+% 218.53/218.63 ( op2(e20,e23) != op2(e21,e23) ),+% 218.53/218.63 inference(cnf_transformation,[],[f222]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_60,plain,+% 218.53/218.63 ( op2(e20,e23) = e21+% 218.53/218.63 | op2(e20,e23) = e22+% 218.53/218.63 | op2(e20,e23) = e23+% 218.53/218.63 | e20 = op2(e20,e23) ),+% 218.53/218.63 inference(cnf_transformation,[],[f111]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_16700,plain,+% 218.53/218.63 ( op2(e20,e23) != X0+% 218.53/218.63 | op2(e20,e23) = op2(e21,e23)+% 218.53/218.63 | op2(e21,e23) != X0 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_17890,plain,+% 218.53/218.63 ( op2(e20,e23) = op2(e21,e23)+% 218.53/218.63 | op2(e20,e23) != e21+% 218.53/218.63 | op2(e21,e23) != e21 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_16700]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_17845,plain,+% 218.53/218.63 ( op2(e21,e23) = op2(X0,X1) | e21 != X0 | e23 != X1 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_21078,plain,+% 218.53/218.63 ( op2(e21,e23) = op2(e21,X0) | e21 != e21 | e23 != X0 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_17845]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_28329,plain,+% 218.53/218.63 ( op2(e21,e23) = op2(e21,op2(e20,e21))+% 218.53/218.63 | e21 != e21+% 218.53/218.63 | e23 != op2(e20,e21) ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_21078]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_30109,plain,+% 218.53/218.63 ( op2(e23,e20) = op2(X0,X1) | e20 != X1 | e23 != X0 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_31072,plain,+% 218.53/218.63 ( op2(e23,e20) = op2(X0,op2(e20,e23))+% 218.53/218.63 | e20 != op2(e20,e23)+% 218.53/218.63 | e23 != X0 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_30109]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_33231,plain,+% 218.53/218.63 ( op2(e23,e20) = op2(e23,op2(e20,e23))+% 218.53/218.63 | e20 != op2(e20,e23)+% 218.53/218.63 | e23 != e23 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_31072]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_30107,plain,+% 218.53/218.63 ( X0 != X1 | op2(e23,e20) != X1 | op2(e23,e20) = X0 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_34903,plain,+% 218.53/218.63 ( X0 != op2(e23,op2(e20,e23))+% 218.53/218.63 | op2(e23,e20) = X0+% 218.53/218.63 | op2(e23,e20) != op2(e23,op2(e20,e23)) ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_30107]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_48118,plain,+% 218.53/218.63 ( op2(e23,e20) != op2(e23,op2(e20,e23))+% 218.53/218.63 | op2(e23,e20) = e23+% 218.53/218.63 | e23 != op2(e23,op2(e20,e23)) ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_34903]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_113093,plain,+% 218.53/218.63 ( op2(e20,e23) != e22 | e22 = op2(e20,e23) | e22 != e22 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_61358]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_140947,plain,+% 218.53/218.63 ( X0 != op2(e20,e21)+% 218.53/218.63 | op2(e20,e21) = X0+% 218.53/218.63 | op2(e20,e21) != op2(e20,e21) ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_139509]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_17801,plain,+% 218.53/218.63 ( X0 != X1 | op2(e20,e21) != X1 | op2(e20,e21) = X0 ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.63 +% 218.53/218.63 cnf(c_20386,plain,+% 218.53/218.63 ( X0 != op2(e20,e21)+% 218.53/218.63 | op2(e20,e21) = X0+% 218.53/218.63 | op2(e20,e21) != op2(e20,e21) ),+% 218.53/218.63 inference(instantiation,[status(thm)],[c_17801]) ).+% 218.53/218.63 +% 218.53/218.64 cnf(c_143347,plain,+% 218.53/218.64 ( op2(e20,e21) = X0 | X0 != op2(e20,e21) ),+% 218.53/218.64 inference(global_propositional_subsumption,+% 218.53/218.64 [status(thm)],+% 218.53/218.64 [c_140947,c_17800,c_20386]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_143348,plain,+% 218.53/218.64 ( X0 != op2(e20,e21) | op2(e20,e21) = X0 ),+% 218.53/218.64 inference(renaming,[status(thm)],[c_143347]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_143356,plain,+% 218.53/218.64 ( op2(e20,e21) = e23 | e23 != op2(e20,e21) ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_143348]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_145025,plain,+% 218.53/218.64 ( X0 != op2(e20,e23)+% 218.53/218.64 | X1 != e23+% 218.53/218.64 | op2(X1,X0) = op2(e23,op2(e20,e23)) ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_153062,plain,+% 218.53/218.64 ( X0 != op2(e20,e23)+% 218.53/218.64 | op2(op2(e20,e21),X0) = op2(e23,op2(e20,e23))+% 218.53/218.64 | op2(e20,e21) != e23 ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_145025]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_166043,plain,+% 218.53/218.64 ( op2(op2(e20,e21),e22) = op2(e23,op2(e20,e23))+% 218.53/218.64 | op2(e20,e21) != e23+% 218.53/218.64 | e22 != op2(e20,e23) ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_153062]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_141748,plain,+% 218.53/218.64 ( X0 != op2(e23,e22) | X0 = e23 | e23 != op2(e23,e22) ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_140296]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_149931,plain,+% 218.53/218.64 ( op2(e20,e21) != op2(e23,e22)+% 218.53/218.64 | op2(e20,e21) = e23+% 218.53/218.64 | e23 != op2(e23,e22) ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_141748]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_28167,plain,+% 218.53/218.64 ( op2(e20,e21) != op2(e20,e21)+% 218.53/218.64 | op2(e20,e21) = e23+% 218.53/218.64 | e23 != op2(e20,e21) ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_20386]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_141584,plain,+% 218.53/218.64 ( X0 != op2(e23,e22) | e23 = X0 | e23 != op2(e23,e22) ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_138390]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_149932,plain,+% 218.53/218.64 ( op2(e20,e21) != op2(e23,e22)+% 218.53/218.64 | e23 = op2(e20,e21)+% 218.53/218.64 | e23 != op2(e23,e22) ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_141584]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_17913,plain,+% 218.53/218.64 ( op2(e20,e22) = op2(e23,e22)+% 218.53/218.64 | op2(e20,e22) != e23+% 218.53/218.64 | op2(e23,e22) != e23 ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_16708]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_30091,plain,+% 218.53/218.64 ( X0 != X1 | op2(e23,e22) != X1 | op2(e23,e22) = X0 ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_31037,plain,+% 218.53/218.64 ( X0 != op2(e23,e22)+% 218.53/218.64 | op2(e23,e22) = X0+% 218.53/218.64 | op2(e23,e22) != op2(e23,e22) ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_30091]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_40399,plain,+% 218.53/218.64 ( op2(e23,e22) != op2(e23,e22)+% 218.53/218.64 | op2(e23,e22) = e23+% 218.53/218.64 | e23 != op2(e23,e22) ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_31037]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_139083,plain,+% 218.53/218.64 ( X0 != e23 | e23 = X0 | e23 != e23 ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_138390]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_140287,plain,+% 218.53/218.64 ( e23 = X0 | X0 != e23 ),+% 218.53/218.64 inference(global_propositional_subsumption,+% 218.53/218.64 [status(thm)],+% 218.53/218.64 [c_139083,c_16905,c_17391]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_140288,plain,+% 218.53/218.64 ( X0 != e23 | e23 = X0 ),+% 218.53/218.64 inference(renaming,[status(thm)],[c_140287]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_140292,plain,+% 218.53/218.64 ( op2(e20,e21) != e23 | e23 = op2(e20,e21) ),+% 218.53/218.64 inference(instantiation,[status(thm)],[c_140288]) ).+% 218.53/218.64 +% 218.53/218.64 cnf(c_152918,plain,+% 218.53/218.64 ( e23 = op2(e20,e21) | e23 != op2(e23,e22) ),+% 218.53/218.64 inference(global_propositional_subsumption,+% 218.53/218.64 [status(thm)],+% 218.53/218.64 [c_149932,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.53/218.64 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,+% 218.53/218.64 c_177,c_176,c_175,c_174,c_171,c_166,c_160,c_158,c_155,+% 218.53/218.64 c_153,c_90,c_89,c_88,c_87,c_77,c_71,c_68,c_67,c_57,+% 218.53/218.64 c_1865,c_1969,c_16905,c_17254,c_17300,c_17349,c_17350,+% 218.53/218.64 c_17427,c_17431,c_17554,c_17556,c_17740,c_17770,c_17853,+% 218.53/218.64 c_17913,c_17931,c_18615,c_18616,c_18617,c_18984,c_18997,+% 218.53/218.64 c_19246,c_19346,c_20774,c_20913,c_20955,c_21017,c_21159,+% 218.53/218.64 c_21422,c_21762,c_22510,c_22568,c_22593,c_23145,c_23147,+% 218.53/218.64 c_23297,c_23671,c_25031,c_25989,c_26105,c_26103,c_26603,+% 218.53/218.64 c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_29330,+% 218.53/218.64 c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,c_38580,+% 218.53/218.64 c_38851,c_38896,c_38949,c_39778,c_40255,c_40399,c_44248,+% 218.53/218.64 c_44601,c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,+% 218.53/218.64 c_68974,c_69063,c_74870,c_76914,c_77143,c_95072,+% 218.53/218.64 c_102572,c_107767,c_112325,c_112444,c_138057,c_138069,+% 218.53/218.64 c_138092,c_140292]) ).+% 218.53/218.64 +% 218.53/218.65 cnf(c_155173,plain,+% 218.53/218.65 ( op2(e20,e21) = e23 | e23 != op2(e23,e22) ),+% 218.53/218.65 inference(global_propositional_subsumption,+% 218.53/218.65 [status(thm)],+% 218.53/218.65 [c_149931,c_17800,c_28167,c_152918]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_141674,plain,+% 218.53/218.65 ( X0 != op2(e23,op2(e20,e23))+% 218.53/218.65 | e23 = X0+% 218.53/218.65 | e23 != op2(e23,op2(e20,e23)) ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_138390]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_145024,plain,+% 218.53/218.65 ( op2(X0,X1) != op2(e23,op2(e20,e23))+% 218.53/218.65 | e23 = op2(X0,X1)+% 218.53/218.65 | e23 != op2(e23,op2(e20,e23)) ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_141674]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_153054,plain,+% 218.53/218.65 ( op2(e23,e22) != op2(e23,op2(e20,e23))+% 218.53/218.65 | e23 != op2(e23,op2(e20,e23))+% 218.53/218.65 | e23 = op2(e23,e22) ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_145024]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_17915,plain,+% 218.53/218.65 ( op2(e20,e22) = op2(e23,e22)+% 218.53/218.65 | op2(e20,e22) != e21+% 218.53/218.65 | op2(e23,e22) != e21 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_16708]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_19340,plain,+% 218.53/218.65 ( op2(e20,e22) != e23 | e23 = op2(e20,e22) | e23 != e23 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_22085,plain,+% 218.53/218.65 ( op2(e23,e22) != e23 | e23 = op2(e23,e22) | e23 != e23 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_23148,plain,+% 218.53/218.65 ( op2(e20,e22) != e22 | e22 = op2(e20,e22) | e22 != e22 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_19519]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_59544,plain,+% 218.53/218.65 ( op2(e21,e22) != X0+% 218.53/218.65 | op2(e21,e22) = op2(e23,e22)+% 218.53/218.65 | op2(e23,e22) != X0 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_101735,plain,+% 218.53/218.65 ( op2(e21,e22) != op2(e20,e23)+% 218.53/218.65 | op2(e21,e22) = op2(e23,e22)+% 218.53/218.65 | op2(e23,e22) != op2(e20,e23) ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_59544]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_113086,plain,+% 218.53/218.65 ( op2(e20,e23) != e22+% 218.53/218.65 | op2(e23,e22) = op2(e20,e23)+% 218.53/218.65 | op2(e23,e22) != e22 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_90235]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_138996,plain,+% 218.53/218.65 ( X0 != X1 | op2(e21,e22) != X1 | op2(e21,e22) = X0 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_140205,plain,+% 218.53/218.65 ( X0 != e22 | op2(e21,e22) = X0 | op2(e21,e22) != e22 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_138996]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_142902,plain,+% 218.53/218.65 ( op2(e20,e23) != e22+% 218.53/218.65 | op2(e21,e22) = op2(e20,e23)+% 218.53/218.65 | op2(e21,e22) != e22 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_140205]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_182,plain,+% 218.53/218.65 ( op2(e21,e21) != op2(e22,e21) ),+% 218.53/218.65 inference(cnf_transformation,[],[f213]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_172,plain,+% 218.53/218.65 ( op2(e20,e23) != op2(e22,e23) ),+% 218.53/218.65 inference(cnf_transformation,[],[f223]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_16698,plain,+% 218.53/218.65 ( op2(e20,e23) != X0+% 218.53/218.65 | op2(e20,e23) = op2(e22,e23)+% 218.53/218.65 | op2(e22,e23) != X0 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_17881,plain,+% 218.53/218.65 ( op2(e20,e23) = op2(e22,e23)+% 218.53/218.65 | op2(e20,e23) != e22+% 218.53/218.65 | op2(e22,e23) != e22 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_16698]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_17889,plain,+% 218.53/218.65 ( op2(e20,e23) = op2(e21,e23)+% 218.53/218.65 | op2(e20,e23) != e22+% 218.53/218.65 | op2(e21,e23) != e22 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_16700]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_29608,plain,+% 218.53/218.65 ( op2(e21,e21) != X0+% 218.53/218.65 | op2(e21,e21) = op2(e22,e21)+% 218.53/218.65 | op2(e22,e21) != X0 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_44742,plain,+% 218.53/218.65 ( op2(e21,e21) = op2(e22,e21)+% 218.53/218.65 | op2(e21,e21) != e22+% 218.53/218.65 | op2(e22,e21) != e22 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_29608]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_60101,plain,+% 218.53/218.65 ( X0 != X1 | op2(e21,e22) != X1 | op2(e21,e22) = X0 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_70320,plain,+% 218.53/218.65 ( X0 != e22 | op2(e21,e22) = X0 | op2(e21,e22) != e22 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_60101]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_113082,plain,+% 218.53/218.65 ( op2(e20,e23) != e22+% 218.53/218.65 | op2(e21,e22) = op2(e20,e23)+% 218.53/218.65 | op2(e21,e22) != e22 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_70320]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_75,plain,+% 218.53/218.65 ( op2(e22,e20) = e22+% 218.53/218.65 | op2(e22,e21) = e22+% 218.53/218.65 | op2(e22,e22) = e22+% 218.53/218.65 | op2(e22,e23) = e22 ),+% 218.53/218.65 inference(cnf_transformation,[],[f144]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_17539,plain,+% 218.53/218.65 ( e20 != op2(e22,e22) | e20 = e22 | e22 != op2(e22,e22) ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_16753]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_44824,plain,+% 218.53/218.65 ( op2(e22,e22) != e22 | e22 = op2(e22,e22) | e22 != e22 ),+% 218.53/218.65 inference(instantiation,[status(thm)],[c_31448]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_138078,plain,+% 218.53/218.65 ( op2(e22,e21) = e22 | op2(e22,e23) = e22 ),+% 218.53/218.65 inference(global_propositional_subsumption,+% 218.53/218.65 [status(thm)],+% 218.53/218.65 [c_75,c_257,c_256,c_203,c_202,c_200,c_155,c_153,c_77,+% 218.53/218.65 c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_21159,+% 218.53/218.65 c_21422,c_26105,c_26103,c_26603,c_34088,c_36100,c_44824,+% 218.53/218.65 c_49003,c_68974]) ).+% 218.53/218.65 +% 218.53/218.65 cnf(c_83,plain,+% 218.53/218.65 ( op2(e21,e20) = e22+% 218.53/218.65 | op2(e21,e21) = e22+% 218.53/218.65 | op2(e21,e22) = e22+% 218.53/218.65 | op2(e21,e23) = e22 ),+% 218.53/218.65 inference(cnf_transformation,[],[f136]) ).+% 218.53/218.65 +% 218.53/218.66 cnf(c_138088,plain,+% 218.53/218.66 ( op2(e21,e21) = e22 | op2(e21,e22) = e22 | op2(e21,e23) = e22 ),+% 218.53/218.66 inference(global_propositional_subsumption,+% 218.53/218.66 [status(thm)],+% 218.53/218.66 [c_83,c_257,c_256,c_255,c_203,c_199,c_198,c_191,c_187,+% 218.53/218.66 c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,+% 218.53/218.66 c_17427,c_17431,c_17554,c_18617,c_19346,c_21159,c_21422,+% 218.53/218.66 c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,+% 218.53/218.66 c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,+% 218.53/218.66 c_68975,c_95072,c_102572,c_112325]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_149272,plain,+% 218.53/218.66 ( op2(e21,e22) = op2(e20,e23) | op2(e20,e23) != e22 ),+% 218.53/218.66 inference(global_propositional_subsumption,+% 218.53/218.66 [status(thm)],+% 218.53/218.66 [c_142902,c_182,c_173,c_172,c_17881,c_17889,c_44742,+% 218.53/218.66 c_113082,c_138078,c_138088]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_149273,plain,+% 218.53/218.66 ( op2(e20,e23) != e22 | op2(e21,e22) = op2(e20,e23) ),+% 218.53/218.66 inference(renaming,[status(thm)],[c_149272]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_139585,plain,+% 218.53/218.66 ( X0 != X1 | op2(e20,e23) != X1 | op2(e20,e23) = X0 ),+% 218.53/218.66 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_141974,plain,+% 218.53/218.66 ( X0 != e22 | op2(e20,e23) = X0 | op2(e20,e23) != e22 ),+% 218.53/218.66 inference(instantiation,[status(thm)],[c_139585]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_145084,plain,+% 218.53/218.66 ( op2(e20,e23) = op2(e22,op2(e20,e22))+% 218.53/218.66 | op2(e20,e23) != e22+% 218.53/218.66 | op2(e22,op2(e20,e22)) != e22 ),+% 218.53/218.66 inference(instantiation,[status(thm)],[c_141974]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_165,plain,+% 218.53/218.66 ( op2(e20,e20) != op2(e20,e23) ),+% 218.53/218.66 inference(cnf_transformation,[],[f230]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_1852,plain,+% 218.53/218.66 ( sP4+% 218.53/218.66 | sP5+% 218.53/218.66 | op2(e21,op2(e23,e21)) = e21+% 218.53/218.66 | op2(e22,op2(e20,e22)) = e22 ),+% 218.53/218.66 inference(resolution,[status(thm)],[c_250,c_245]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_1956,plain,+% 218.53/218.66 ( sP4+% 218.53/218.66 | sP5+% 218.53/218.66 | op2(e22,op2(e20,e22)) = e22+% 218.53/218.66 | op2(e23,op2(e23,e23)) = e23 ),+% 218.53/218.66 inference(resolution,[status(thm)],[c_248,c_245]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_16684,plain,+% 218.53/218.66 ( op2(e20,e20) != X0+% 218.53/218.66 | op2(e20,e20) = op2(e20,e23)+% 218.53/218.66 | op2(e20,e23) != X0 ),+% 218.53/218.66 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_25032,plain,+% 218.53/218.66 ( op2(e20,e20) = op2(e20,e23)+% 218.53/218.66 | op2(e20,e20) != e22+% 218.53/218.66 | op2(e20,e23) != e22 ),+% 218.53/218.66 inference(instantiation,[status(thm)],[c_16684]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_117825,plain,+% 218.53/218.66 ( X0 != e22 | op2(e20,e23) = X0 | op2(e20,e23) != e22 ),+% 218.53/218.66 inference(instantiation,[status(thm)],[c_60506]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_131065,plain,+% 218.53/218.66 ( op2(e20,e23) = op2(e22,op2(e20,e22))+% 218.53/218.66 | op2(e20,e23) != e22+% 218.53/218.66 | op2(e22,op2(e20,e22)) != e22 ),+% 218.53/218.66 inference(instantiation,[status(thm)],[c_117825]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_157088,plain,+% 218.53/218.66 ( op2(e20,e23) != e22 | op2(e20,e23) = op2(e22,op2(e20,e22)) ),+% 218.53/218.66 inference(global_propositional_subsumption,+% 218.53/218.66 [status(thm)],+% 218.53/218.66 [c_145084,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.53/218.66 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_176,+% 218.53/218.66 c_174,c_165,c_155,c_153,c_90,c_88,c_87,c_77,c_71,c_1852,+% 218.53/218.66 c_1956,c_16905,c_17254,c_17300,c_17349,c_17350,c_17427,+% 218.53/218.66 c_17431,c_17554,c_17740,c_18616,c_18617,c_18997,c_19346,+% 218.53/218.66 c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,+% 218.53/218.66 c_22510,c_22568,c_23147,c_23297,c_23671,c_25032,c_25989,+% 218.53/218.66 c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,+% 218.53/218.66 c_27945,c_33461,c_33893,c_34088,c_36100,c_38592,c_38580,+% 218.53/218.66 c_38851,c_38896,c_38949,c_39778,c_44248,c_49003,c_51437,+% 218.53/218.66 c_68501,c_68975,c_68974,c_76914,c_95072,c_102572,+% 218.53/218.66 c_107767,c_112325,c_131065]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_157089,plain,+% 218.53/218.66 ( op2(e20,e23) = op2(e22,op2(e20,e22)) | op2(e20,e23) != e22 ),+% 218.53/218.66 inference(renaming,[status(thm)],[c_157088]) ).+% 218.53/218.66 +% 218.53/218.66 cnf(c_138226,plain,+% 218.53/218.66 ( op2(e20,e23) != X0+% 218.53/218.66 | op2(e20,e23) = op2(e22,e23)+% 218.53/218.66 | op2(e22,e23) != X0 ),+% 218.53/218.66 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.66 +% 218.53/218.67 cnf(c_139589,plain,+% 218.53/218.67 ( op2(e20,e23) != X0 | op2(e22,e23) != X0 ),+% 218.53/218.67 inference(global_propositional_subsumption,+% 218.53/218.67 [status(thm)],+% 218.53/218.67 [c_138226,c_172,c_16698]) ).+% 218.53/218.67 +% 218.53/218.67 cnf(c_157091,plain,+% 218.53/218.67 ( op2(e20,e23) != op2(e22,op2(e20,e22))+% 218.53/218.67 | op2(e22,e23) != op2(e22,op2(e20,e22)) ),+% 218.53/218.67 inference(instantiation,[status(thm)],[c_139589]) ).+% 218.53/218.67 +% 218.53/218.67 cnf(c_138254,plain,+% 218.53/218.67 ( e21 != X0 | e21 = e22 | e22 != X0 ),+% 218.53/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.67 +% 218.53/218.67 cnf(c_16749,plain,+% 218.53/218.67 ( e21 != X0 | e21 = e22 | e22 != X0 ),+% 218.53/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.53/218.67 +% 218.57/218.67 cnf(c_139228,plain,+% 218.57/218.67 ( e21 != X0 | e22 != X0 ),+% 218.57/218.67 inference(global_propositional_subsumption,+% 218.57/218.67 [status(thm)],+% 218.57/218.67 [c_138254,c_200,c_16749]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_148191,plain,+% 218.57/218.67 ( e21 != op2(e20,e22) | e22 != op2(e20,e22) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_139228]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_19400,plain,+% 218.57/218.67 ( op2(e20,e20) != op2(e20,e20)+% 218.57/218.67 | op2(e20,e20) = op2(e20,e22)+% 218.57/218.67 | op2(e20,e22) != op2(e20,e20) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16686]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_60454,plain,+% 218.57/218.67 ( X0 != X1 | op2(e20,e22) != X1 | op2(e20,e22) = X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_61542,plain,+% 218.57/218.67 ( X0 != op2(e20,e22)+% 218.57/218.67 | op2(e20,e22) = X0+% 218.57/218.67 | op2(e20,e22) != op2(e20,e22) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_60454]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_68847,plain,+% 218.57/218.67 ( op2(e20,e22) != op2(e20,e22)+% 218.57/218.67 | op2(e20,e22) = e22+% 218.57/218.67 | e22 != op2(e20,e22) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_61542]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_59548,plain,+% 218.57/218.67 ( op2(e20,e22) != X0+% 218.57/218.67 | op2(e20,e22) = op2(e21,e22)+% 218.57/218.67 | op2(e21,e22) != X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_69423,plain,+% 218.57/218.67 ( op2(e20,e22) = op2(e21,e22)+% 218.57/218.67 | op2(e20,e22) != op2(e23,e20)+% 218.57/218.67 | op2(e21,e22) != op2(e23,e20) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_59548]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_61536,plain,+% 218.57/218.67 ( X0 != e22 | op2(e20,e22) = X0 | op2(e20,e22) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_60454]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_71340,plain,+% 218.57/218.67 ( op2(e20,e20) != e22+% 218.57/218.67 | op2(e20,e22) = op2(e20,e20)+% 218.57/218.67 | op2(e20,e22) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_61536]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_107924,plain,+% 218.57/218.67 ( op2(e20,e22) = op2(e23,e20)+% 218.57/218.67 | op2(e20,e22) != e22+% 218.57/218.67 | op2(e23,e20) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_61536]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_142899,plain,+% 218.57/218.67 ( op2(e21,e22) = op2(e23,e20)+% 218.57/218.67 | op2(e21,e22) != e22+% 218.57/218.67 | op2(e23,e20) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_140205]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_148,plain,+% 218.57/218.67 ( op2(e23,e20) != op2(e23,e22) ),+% 218.57/218.67 inference(cnf_transformation,[],[f247]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_74,plain,+% 218.57/218.67 ( op2(e20,e22) = e22+% 218.57/218.67 | op2(e21,e22) = e22+% 218.57/218.67 | op2(e22,e22) = e22+% 218.57/218.67 | op2(e23,e22) = e22 ),+% 218.57/218.67 inference(cnf_transformation,[],[f145]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_16650,plain,+% 218.57/218.67 ( op2(e23,e20) != X0+% 218.57/218.67 | op2(e23,e20) = op2(e23,e22)+% 218.57/218.67 | op2(e23,e22) != X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_17283,plain,+% 218.57/218.67 ( op2(e23,e20) = op2(e23,e22)+% 218.57/218.67 | op2(e23,e20) != e22+% 218.57/218.67 | op2(e23,e22) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16650]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_17334,plain,+% 218.57/218.67 ( op2(e22,e21) != op2(e22,e21)+% 218.57/218.67 | op2(e22,e21) = op2(e22,e23)+% 218.57/218.67 | op2(e22,e23) != op2(e22,e21) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16656]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_18944,plain,+% 218.57/218.67 ( X0 != e22 | op2(e22,e21) = X0 | op2(e22,e21) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_17336]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_21387,plain,+% 218.57/218.67 ( op2(e22,op2(e20,e22)) != e22+% 218.57/218.67 | op2(e22,e21) = op2(e22,op2(e20,e22))+% 218.57/218.67 | op2(e22,e21) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_18944]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_17741,plain,+% 218.57/218.67 ( X0 != X1 | op2(e21,e22) != X1 | op2(e21,e22) = X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_19778,plain,+% 218.57/218.67 ( X0 != e22 | op2(e21,e22) = X0 | op2(e21,e22) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_17741]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_27780,plain,+% 218.57/218.67 ( op2(e21,e22) = op2(e23,e20)+% 218.57/218.67 | op2(e21,e22) != e22+% 218.57/218.67 | op2(e23,e20) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_19778]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_32014,plain,+% 218.57/218.67 ( X0 != e22 | op2(e22,e23) = X0 | op2(e22,e23) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_30606]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_34075,plain,+% 218.57/218.67 ( op2(e22,e23) = op2(e23,e20)+% 218.57/218.67 | op2(e22,e23) != e22+% 218.57/218.67 | op2(e23,e20) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_32014]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_60067,plain,+% 218.57/218.67 ( op2(e22,e22) = op2(X0,X1) | e22 != X0 | e22 != X1 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_61103,plain,+% 218.57/218.67 ( op2(e22,e22) = op2(e22,X0) | e22 != X0 | e22 != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_60067]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_68817,plain,+% 218.57/218.67 ( op2(e22,e22) = op2(e22,op2(e20,e22))+% 218.57/218.67 | e22 != op2(e20,e22)+% 218.57/218.67 | e22 != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_61103]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_60383,plain,+% 218.57/218.67 ( op2(e22,e21) != X0+% 218.57/218.67 | op2(e22,e23) != X0+% 218.57/218.67 | op2(e22,e23) = op2(e22,e21) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_95749,plain,+% 218.57/218.67 ( op2(e22,e21) != op2(e23,e20)+% 218.57/218.67 | op2(e22,e23) = op2(e22,e21)+% 218.57/218.67 | op2(e22,e23) != op2(e23,e20) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_60383]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_138949,plain,+% 218.57/218.67 ( X0 != X1 | op2(e22,e21) != X1 | op2(e22,e21) = X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_140170,plain,+% 218.57/218.67 ( X0 != e22 | op2(e22,e21) = X0 | op2(e22,e21) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_138949]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_142817,plain,+% 218.57/218.67 ( op2(e22,e21) = op2(e23,e20)+% 218.57/218.67 | op2(e22,e21) != e22+% 218.57/218.67 | op2(e23,e20) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_140170]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_167,plain,+% 218.57/218.67 ( op2(e20,e20) != op2(e20,e21) ),+% 218.57/218.67 inference(cnf_transformation,[],[f228]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_161,plain,+% 218.57/218.67 ( op2(e21,e20) != op2(e21,e21) ),+% 218.57/218.67 inference(cnf_transformation,[],[f234]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_84,plain,+% 218.57/218.67 ( op2(e20,e21) = e21+% 218.57/218.67 | op2(e21,e21) = e21+% 218.57/218.67 | op2(e22,e21) = e21+% 218.57/218.67 | op2(e23,e21) = e21 ),+% 218.57/218.67 inference(cnf_transformation,[],[f135]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_62,plain,+% 218.57/218.67 ( op2(e20,e21) = e21+% 218.57/218.67 | op2(e20,e21) = e22+% 218.57/218.67 | op2(e20,e21) = e23+% 218.57/218.67 | e20 = op2(e20,e21) ),+% 218.57/218.67 inference(cnf_transformation,[],[f109]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_246,plain,+% 218.57/218.67 ( ~ sP3 | op2(e21,op2(e20,e21)) = e21 ),+% 218.57/218.67 inference(cnf_transformation,[],[f305]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_1839,plain,+% 218.57/218.67 ( sP4+% 218.57/218.67 | sP5+% 218.57/218.67 | op2(e21,op2(e20,e21)) = e21+% 218.57/218.67 | op2(e21,op2(e23,e21)) = e21 ),+% 218.57/218.67 inference(resolution,[status(thm)],[c_250,c_246]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_17623,plain,+% 218.57/218.67 ( op2(e23,e21) != op2(e23,e21)+% 218.57/218.67 | op2(e23,e21) = op2(e23,e22)+% 218.57/218.67 | op2(e23,e22) != op2(e23,e21) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16646]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_18654,plain,+% 218.57/218.67 ( op2(e22,e21) = op2(e22,e23)+% 218.57/218.67 | op2(e22,e21) != e23+% 218.57/218.67 | op2(e22,e23) != e23 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16656]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_19092,plain,+% 218.57/218.67 ( op2(e20,e21) != op2(e20,e21)+% 218.57/218.67 | op2(e20,e21) = op2(e22,e21)+% 218.57/218.67 | op2(e22,e21) != op2(e20,e21) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16722]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_16732,plain,+% 218.57/218.67 ( op2(e20,e20) != X0+% 218.57/218.67 | op2(e20,e20) = op2(e23,e20)+% 218.57/218.67 | op2(e23,e20) != X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_19398,plain,+% 218.57/218.67 ( op2(e20,e20) != op2(e20,e20)+% 218.57/218.67 | op2(e20,e20) = op2(e23,e20)+% 218.57/218.67 | op2(e23,e20) != op2(e20,e20) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16732]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_19420,plain,+% 218.57/218.67 ( op2(e20,e23) != op2(e20,e23)+% 218.57/218.67 | op2(e20,e23) = op2(e22,e23)+% 218.57/218.67 | op2(e22,e23) != op2(e20,e23) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16698]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_21383,plain,+% 218.57/218.67 ( op2(e22,e21) = op2(e23,e20)+% 218.57/218.67 | op2(e22,e21) != e22+% 218.57/218.67 | op2(e23,e20) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_18944]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_24027,plain,+% 218.57/218.67 ( op2(e23,e23) != e23 | e23 = op2(e23,e23) | e23 != e23 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_18416,plain,+% 218.57/218.67 ( X0 != e22 | op2(e23,e20) = X0 | op2(e23,e20) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_17277]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_24688,plain,+% 218.57/218.67 ( op2(e22,e23) != e22+% 218.57/218.67 | op2(e23,e20) = op2(e22,e23)+% 218.57/218.67 | op2(e23,e20) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_18416]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_24992,plain,+% 218.57/218.67 ( op2(e20,e21) != e22 | e22 = op2(e20,e21) | e22 != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_19519]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_25036,plain,+% 218.57/218.67 ( op2(e20,e20) != e22+% 218.57/218.67 | op2(e23,e20) = op2(e20,e20)+% 218.57/218.67 | op2(e23,e20) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_18416]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_17858,plain,+% 218.57/218.67 ( X0 != X1 | op2(e20,e23) != X1 | op2(e20,e23) = X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_21087,plain,+% 218.57/218.67 ( X0 != op2(e20,e23)+% 218.57/218.67 | op2(e20,e23) = X0+% 218.57/218.67 | op2(e20,e23) != op2(e20,e23) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_17858]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_28966,plain,+% 218.57/218.67 ( op2(e20,e23) != op2(e20,e23)+% 218.57/218.67 | op2(e20,e23) = e20+% 218.57/218.67 | e20 != op2(e20,e23) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_21087]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_29329,plain,+% 218.57/218.67 ( op2(e21,op2(e20,e21)) != e21+% 218.57/218.67 | op2(e21,e21) = op2(e21,op2(e20,e21))+% 218.57/218.67 | op2(e21,e21) != e21 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_22443]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_29574,plain,+% 218.57/218.67 ( op2(e23,e20) != X0+% 218.57/218.67 | op2(e23,e20) = op2(e23,e22)+% 218.57/218.67 | op2(e23,e22) != X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_38045,plain,+% 218.57/218.67 ( op2(e23,e20) != op2(e22,e23)+% 218.57/218.67 | op2(e23,e20) = op2(e23,e22)+% 218.57/218.67 | op2(e23,e22) != op2(e22,e23) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_29574]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_30161,plain,+% 218.57/218.67 ( op2(e21,e22) = op2(X0,X1) | e21 != X0 | e22 != X1 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_31203,plain,+% 218.57/218.67 ( op2(e21,e22) = op2(e21,X0) | e21 != e21 | e22 != X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_30161]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_38358,plain,+% 218.57/218.67 ( op2(e21,e22) = op2(e21,op2(e20,e21))+% 218.57/218.67 | e21 != e21+% 218.57/218.67 | e22 != op2(e20,e21) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_31203]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_29587,plain,+% 218.57/218.67 ( op2(e21,e20) != X0+% 218.57/218.67 | op2(e21,e20) = op2(e21,e21)+% 218.57/218.67 | op2(e21,e21) != X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_38853,plain,+% 218.57/218.67 ( op2(e21,e20) != op2(e21,op2(e23,e21))+% 218.57/218.67 | op2(e21,e20) = op2(e21,e21)+% 218.57/218.67 | op2(e21,e21) != op2(e21,op2(e23,e21)) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_29587]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_30131,plain,+% 218.57/218.67 ( X0 != X1 | op2(e22,e21) != X1 | op2(e22,e21) = X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_31098,plain,+% 218.57/218.67 ( X0 != e23 | op2(e22,e21) = X0 | op2(e22,e21) != e23 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_30131]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_40665,plain,+% 218.57/218.67 ( op2(e20,e21) != e23+% 218.57/218.67 | op2(e22,e21) = op2(e20,e21)+% 218.57/218.67 | op2(e22,e21) != e23 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_31098]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_68615,plain,+% 218.57/218.67 ( op2(e21,e21) != op2(e21,op2(e20,e21))+% 218.57/218.67 | op2(e21,e21) = op2(e21,e22)+% 218.57/218.67 | op2(e21,e22) != op2(e21,op2(e20,e21)) ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_59527]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_62365,plain,+% 218.57/218.67 ( X0 != e21 | op2(e20,e23) = X0 | op2(e20,e23) != e21 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_60506]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_77593,plain,+% 218.57/218.67 ( op2(e20,e21) != e21+% 218.57/218.67 | op2(e20,e23) = op2(e20,e21)+% 218.57/218.67 | op2(e20,e23) != e21 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_62365]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_59534,plain,+% 218.57/218.67 ( op2(e20,e20) != X0+% 218.57/218.67 | op2(e20,e20) = op2(e20,e23)+% 218.57/218.67 | op2(e20,e23) != X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_88491,plain,+% 218.57/218.67 ( op2(e20,e20) = op2(e20,e23)+% 218.57/218.67 | op2(e20,e20) != e20+% 218.57/218.67 | op2(e20,e23) != e20 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_59534]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_59536,plain,+% 218.57/218.67 ( op2(e20,e20) != X0+% 218.57/218.67 | op2(e20,e20) = op2(e20,e21)+% 218.57/218.67 | op2(e20,e21) != X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_88489,plain,+% 218.57/218.67 ( op2(e20,e20) = op2(e20,e21)+% 218.57/218.67 | op2(e20,e20) != e20+% 218.57/218.67 | op2(e20,e21) != e20 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_59536]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_70834,plain,+% 218.57/218.67 ( X0 != e22 | op2(e22,e23) = X0 | op2(e22,e23) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_60488]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_113088,plain,+% 218.57/218.67 ( op2(e20,e23) != e22+% 218.57/218.67 | op2(e22,e23) = op2(e20,e23)+% 218.57/218.67 | op2(e22,e23) != e22 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_70834]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_60915,plain,+% 218.57/218.67 ( X0 != e21 | op2(e23,e22) = X0 | op2(e23,e22) != e21 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_60029]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_115261,plain,+% 218.57/218.67 ( op2(e23,e21) != e21+% 218.57/218.67 | op2(e23,e22) = op2(e23,e21)+% 218.57/218.67 | op2(e23,e22) != e21 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_60915]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_64,plain,+% 218.57/218.67 ( op2(e20,e23) = e23+% 218.57/218.67 | op2(e21,e23) = e23+% 218.57/218.67 | op2(e22,e23) = e23+% 218.57/218.67 | op2(e23,e23) = e23 ),+% 218.57/218.67 inference(cnf_transformation,[],[f155]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_159,plain,+% 218.57/218.67 ( op2(e21,e20) != op2(e21,e23) ),+% 218.57/218.67 inference(cnf_transformation,[],[f236]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_16672,plain,+% 218.57/218.67 ( op2(e21,e20) != X0+% 218.57/218.67 | op2(e21,e20) = op2(e21,e23)+% 218.57/218.67 | op2(e21,e23) != X0 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.67 +% 218.57/218.67 cnf(c_17760,plain,+% 218.57/218.67 ( op2(e21,e20) = op2(e21,e23)+% 218.57/218.67 | op2(e21,e20) != e23+% 218.57/218.67 | op2(e21,e23) != e23 ),+% 218.57/218.67 inference(instantiation,[status(thm)],[c_16672]) ).+% 218.57/218.67 +% 218.57/218.68 cnf(c_138060,plain,+% 218.57/218.68 ( op2(e20,e23) = e23 | op2(e22,e23) = e23 | op2(e23,e23) = e23 ),+% 218.57/218.68 inference(global_propositional_subsumption,+% 218.57/218.68 [status(thm)],+% 218.57/218.68 [c_64,c_257,c_256,c_255,c_203,c_199,c_191,c_187,c_159,+% 218.57/218.68 c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,+% 218.57/218.68 c_17427,c_17431,c_17554,c_17760,c_18617,c_19346,c_21159,+% 218.57/218.68 c_21422,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,+% 218.57/218.68 c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,c_68975,+% 218.57/218.68 c_95072,c_102572]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_138255,plain,+% 218.57/218.68 ( e20 != X0 | e20 = e23 | e23 != X0 ),+% 218.57/218.68 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_139235,plain,+% 218.57/218.68 ( e20 != X0 | e23 != X0 ),+% 218.57/218.68 inference(global_propositional_subsumption,+% 218.57/218.68 [status(thm)],+% 218.57/218.68 [c_138255,c_201,c_16751]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_139238,plain,+% 218.57/218.68 ( e20 != op2(e23,e23) | e23 != op2(e23,e23) ),+% 218.57/218.68 inference(instantiation,[status(thm)],[c_139235]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_138882,plain,+% 218.57/218.68 ( X0 != X1 | op2(e23,e22) != X1 | op2(e23,e22) = X0 ),+% 218.57/218.68 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_140105,plain,+% 218.57/218.68 ( X0 != e23 | op2(e23,e22) = X0 | op2(e23,e22) != e23 ),+% 218.57/218.68 inference(instantiation,[status(thm)],[c_138882]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_142617,plain,+% 218.57/218.68 ( op2(e22,e23) != e23+% 218.57/218.68 | op2(e23,e22) = op2(e22,e23)+% 218.57/218.68 | op2(e23,e22) != e23 ),+% 218.57/218.68 inference(instantiation,[status(thm)],[c_140105]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_144,plain,+% 218.57/218.68 ( op2(e23,e22) != op2(e23,e23) ),+% 218.57/218.68 inference(cnf_transformation,[],[f251]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_16642,plain,+% 218.57/218.68 ( op2(e23,e22) != X0+% 218.57/218.68 | op2(e23,e22) = op2(e23,e23)+% 218.57/218.68 | op2(e23,e23) != X0 ),+% 218.57/218.68 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_22082,plain,+% 218.57/218.68 ( op2(e23,e22) = op2(e23,e23)+% 218.57/218.68 | op2(e23,e22) != e23+% 218.57/218.68 | op2(e23,e23) != e23 ),+% 218.57/218.68 inference(instantiation,[status(thm)],[c_16642]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_64702,plain,+% 218.57/218.68 ( X0 != X1 | X0 = op2(e22,e23) | op2(e22,e23) != X1 ),+% 218.57/218.68 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_113259,plain,+% 218.57/218.68 ( X0 = op2(e22,e23) | X0 != e23 | op2(e22,e23) != e23 ),+% 218.57/218.68 inference(instantiation,[status(thm)],[c_64702]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_122296,plain,+% 218.57/218.68 ( op2(e22,e23) != e23+% 218.57/218.68 | op2(e23,e22) = op2(e22,e23)+% 218.57/218.68 | op2(e23,e22) != e23 ),+% 218.57/218.68 inference(instantiation,[status(thm)],[c_113259]) ).+% 218.57/218.68 +% 218.57/218.68 cnf(c_148738,plain,+% 218.57/218.68 ( op2(e23,e22) = op2(e22,e23) | op2(e23,e22) != e23 ),+% 218.57/218.68 inference(global_propositional_subsumption,+% 218.57/218.68 [status(thm)],+% 218.57/218.68 [c_142617,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.57/218.68 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,+% 218.57/218.68 c_176,c_175,c_174,c_171,c_166,c_163,c_162,c_160,c_159,+% 218.57/218.68 c_158,c_155,c_153,c_144,c_90,c_89,c_88,c_87,c_77,c_71,+% 218.57/218.68 c_68,c_67,c_64,c_57,c_1865,c_1969,c_16905,c_17254,+% 218.57/218.68 c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,+% 218.57/218.68 c_17740,c_17760,c_17770,c_17786,c_17799,c_17800,c_17853,+% 218.57/218.68 c_17931,c_18615,c_18616,c_18617,c_18984,c_18997,c_19246,+% 218.57/218.68 c_19346,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,+% 218.57/218.68 c_21762,c_22082,c_22510,c_22568,c_22593,c_23145,c_23147,+% 218.57/218.68 c_23297,c_23671,c_25031,c_25989,c_26105,c_26103,c_26603,+% 218.57/218.68 c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,c_29330,+% 218.57/218.68 c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,c_38580,+% 218.57/218.68 c_38851,c_38896,c_38949,c_39778,c_40255,c_44248,c_44601,+% 218.57/218.68 c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,c_68974,+% 218.57/218.68 c_69063,c_74870,c_76914,c_77143,c_95072,c_102572,+% 218.57/218.68 c_107767,c_112325,c_112444,c_115060,c_122296,c_138057,+% 218.57/218.68 c_138069,c_138092]) ).+% 218.57/218.68 +% 218.57/218.69 cnf(c_149072,plain,+% 218.57/218.69 ( op2(e22,e21) = op2(e23,e20) | op2(e23,e20) != e22 ),+% 218.57/218.69 inference(global_propositional_subsumption,+% 218.57/218.69 [status(thm)],+% 218.57/218.69 [c_142817,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.57/218.69 c_202,c_201,c_200,c_199,c_198,c_191,c_190,c_189,c_188,+% 218.57/218.69 c_187,c_184,c_179,c_176,c_175,c_174,c_172,c_171,c_167,+% 218.57/218.69 c_166,c_165,c_163,c_162,c_161,c_160,c_158,c_155,c_153,+% 218.57/218.69 c_151,c_148,c_146,c_90,c_89,c_88,c_87,c_84,c_77,c_75,+% 218.57/218.69 c_71,c_68,c_67,c_63,c_62,c_60,c_57,c_1839,c_1865,c_1969,+% 218.57/218.69 c_16905,c_17254,c_17261,c_17283,c_17300,c_17349,c_17350,+% 218.57/218.69 c_17427,c_17431,c_17539,c_17554,c_17556,c_17623,c_17740,+% 218.57/218.69 c_17770,c_17786,c_17799,c_17800,c_17816,c_17853,c_17857,+% 218.57/218.69 c_17931,c_18615,c_18616,c_18617,c_18654,c_18984,c_18997,+% 218.57/218.69 c_19092,c_19246,c_19346,c_19398,c_19420,c_20774,c_20913,+% 218.57/218.69 c_20955,c_21017,c_21159,c_21383,c_21422,c_21762,c_22470,+% 218.57/218.69 c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,+% 218.57/218.69 c_24027,c_24688,c_24992,c_25031,c_25036,c_25989,c_26105,+% 218.57/218.69 c_26103,c_26603,c_26605,c_26610,c_27237,c_27239,c_27939,+% 218.57/218.69 c_27945,c_28292,c_28966,c_29329,c_29330,c_33461,c_33893,+% 218.57/218.69 c_34088,c_35201,c_36100,c_38045,c_38358,c_38592,c_38580,+% 218.57/218.69 c_38853,c_38851,c_38896,c_38949,c_39778,c_40255,c_40665,+% 218.57/218.69 c_44248,c_44601,c_44653,c_44824,c_49003,c_51437,c_62013,+% 218.57/218.69 c_68501,c_68615,c_68690,c_68975,c_68974,c_69063,c_74870,+% 218.57/218.69 c_76914,c_77143,c_77593,c_88491,c_88489,c_95072,+% 218.57/218.69 c_102572,c_107767,c_112325,c_112444,c_113088,c_115060,+% 218.57/218.69 c_115261,c_138039,c_138045,c_138057,c_138060,c_138069,+% 218.57/218.69 c_138092,c_139238,c_148738]) ).+% 218.57/218.69 +% 218.57/218.69 cnf(c_138206,plain,+% 218.57/218.69 ( op2(e22,e21) != X0+% 218.57/218.69 | op2(e22,e21) = op2(e22,e22)+% 218.57/218.69 | op2(e22,e22) != X0 ),+% 218.57/218.69 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.69 +% 218.57/218.69 cnf(c_16658,plain,+% 218.57/218.69 ( op2(e22,e21) != X0+% 218.57/218.69 | op2(e22,e21) = op2(e22,e22)+% 218.57/218.69 | op2(e22,e22) != X0 ),+% 218.57/218.69 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.69 +% 218.57/218.69 cnf(c_138953,plain,+% 218.57/218.69 ( op2(e22,e21) != X0 | op2(e22,e22) != X0 ),+% 218.57/218.69 inference(global_propositional_subsumption,+% 218.57/218.69 [status(thm)],+% 218.57/218.69 [c_138206,c_152,c_16658]) ).+% 218.57/218.69 +% 218.57/218.69 cnf(c_149097,plain,+% 218.57/218.69 ( op2(e22,e21) != op2(e22,op2(e20,e22))+% 218.57/218.69 | op2(e22,e22) != op2(e22,op2(e20,e22)) ),+% 218.57/218.69 inference(instantiation,[status(thm)],[c_138953]) ).+% 218.57/218.69 +% 218.57/218.69 cnf(c_149258,plain,+% 218.57/218.69 ( op2(e21,e22) = op2(e23,e20) | op2(e23,e20) != e22 ),+% 218.57/218.69 inference(global_propositional_subsumption,+% 218.57/218.69 [status(thm)],+% 218.57/218.69 [c_142899,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.57/218.69 c_202,c_201,c_200,c_199,c_191,c_188,c_187,c_176,c_174,+% 218.57/218.69 c_155,c_153,c_151,c_148,c_88,c_87,c_77,c_74,c_71,c_1852,+% 218.57/218.69 c_1956,c_16905,c_17254,c_17283,c_17300,c_17334,c_17335,+% 218.57/218.69 c_17349,c_17350,c_17427,c_17431,c_17539,c_17554,c_17740,+% 218.57/218.69 c_18616,c_18617,c_18997,c_19346,c_20774,c_20913,c_20955,+% 218.57/218.69 c_21017,c_21159,c_21387,c_21422,c_21762,c_22510,c_22568,+% 218.57/218.69 c_23148,c_23297,c_23671,c_25989,c_26105,c_26103,c_26603,+% 218.57/218.69 c_26610,c_27237,c_27239,c_27780,c_27939,c_27945,c_33461,+% 218.57/218.69 c_33893,c_34075,c_34088,c_36100,c_38592,c_38580,c_38851,+% 218.57/218.69 c_38896,c_38949,c_39778,c_44248,c_44824,c_51437,c_68501,+% 218.57/218.69 c_68817,c_68975,c_76914,c_95072,c_95749,c_102572,+% 218.57/218.69 c_107767,c_138078,c_149072,c_149097]) ).+% 218.57/218.69 +% 218.57/218.70 cnf(c_164118,plain,+% 218.57/218.70 ( e22 != op2(e20,e22) ),+% 218.57/218.70 inference(global_propositional_subsumption,+% 218.57/218.70 [status(thm)],+% 218.57/218.70 [c_148191,c_257,c_256,c_255,c_203,c_200,c_199,c_198,+% 218.57/218.70 c_191,c_187,c_179,c_166,c_155,c_153,c_90,c_88,c_77,+% 218.57/218.70 c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,+% 218.57/218.70 c_17790,c_17816,c_18617,c_19346,c_19400,c_21159,c_21422,+% 218.57/218.70 c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,+% 218.57/218.70 c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_49003,+% 218.57/218.70 c_51437,c_68847,c_68975,c_68974,c_69423,c_71340,c_95072,+% 218.57/218.70 c_102572,c_107924,c_112325,c_149258]) ).+% 218.57/218.70 +% 218.57/218.70 cnf(c_153069,plain,+% 218.57/218.70 ( X0 != op2(e20,e23)+% 218.57/218.70 | op2(e23,X0) = op2(e23,op2(e20,e23))+% 218.57/218.70 | e23 != e23 ),+% 218.57/218.70 inference(instantiation,[status(thm)],[c_145025]) ).+% 218.57/218.70 +% 218.57/218.70 cnf(c_164535,plain,+% 218.57/218.70 ( op2(e23,X0) = op2(e23,op2(e20,e23)) | X0 != op2(e20,e23) ),+% 218.57/218.70 inference(global_propositional_subsumption,+% 218.57/218.70 [status(thm)],+% 218.57/218.70 [c_153069,c_16905,c_51993]) ).+% 218.57/218.70 +% 218.57/218.70 cnf(c_164536,plain,+% 218.57/218.70 ( X0 != op2(e20,e23) | op2(e23,X0) = op2(e23,op2(e20,e23)) ),+% 218.57/218.70 inference(renaming,[status(thm)],[c_164535]) ).+% 218.57/218.70 +% 218.57/218.70 cnf(c_164541,plain,+% 218.57/218.70 ( op2(e23,e21) = op2(e23,op2(e20,e23)) | e21 != op2(e20,e23) ),+% 218.57/218.70 inference(instantiation,[status(thm)],[c_164536]) ).+% 218.57/218.70 +% 218.57/218.70 cnf(c_138200,plain,+% 218.57/218.70 ( op2(e23,e21) != X0+% 218.57/218.70 | op2(e23,e21) = op2(e23,e22)+% 218.57/218.70 | op2(e23,e22) != X0 ),+% 218.57/218.70 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.70 +% 218.57/218.70 cnf(c_138896,plain,+% 218.57/218.70 ( op2(e23,e21) != X0 | op2(e23,e22) != X0 ),+% 218.57/218.70 inference(global_propositional_subsumption,+% 218.57/218.70 [status(thm)],+% 218.57/218.70 [c_138200,c_146,c_16646]) ).+% 218.57/218.70 +% 218.57/218.70 cnf(c_164542,plain,+% 218.57/218.70 ( op2(e23,e21) != op2(e23,op2(e20,e23))+% 218.57/218.70 | op2(e23,e22) != op2(e23,op2(e20,e23)) ),+% 218.57/218.70 inference(instantiation,[status(thm)],[c_138896]) ).+% 218.57/218.70 +% 218.57/218.70 cnf(c_138202,plain,+% 218.57/218.70 ( op2(e23,e20) != X0+% 218.57/218.70 | op2(e23,e20) = op2(e23,e22)+% 218.57/218.70 | op2(e23,e22) != X0 ),+% 218.57/218.70 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.70 +% 218.57/218.71 cnf(c_138915,plain,+% 218.57/218.71 ( op2(e23,e20) != X0 | op2(e23,e22) != X0 ),+% 218.57/218.71 inference(global_propositional_subsumption,+% 218.57/218.71 [status(thm)],+% 218.57/218.71 [c_138202,c_148,c_16650]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_164546,plain,+% 218.57/218.71 ( op2(e23,e20) != op2(e23,op2(e20,e23))+% 218.57/218.71 | op2(e23,e22) != op2(e23,op2(e20,e23)) ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_138915]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_165269,plain,+% 218.57/218.71 ( op2(e23,e22) != op2(e23,op2(e20,e23)) | e23 = op2(e23,e22) ),+% 218.57/218.71 inference(global_propositional_subsumption,+% 218.57/218.71 [status(thm)],+% 218.57/218.71 [c_153054,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.57/218.71 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,+% 218.57/218.71 c_178,c_177,c_176,c_175,c_174,c_171,c_166,c_165,c_163,+% 218.57/218.71 c_162,c_160,c_158,c_155,c_153,c_148,c_90,c_89,c_88,c_87,+% 218.57/218.71 c_77,c_71,c_68,c_67,c_61,c_60,c_57,c_49,c_1865,c_1969,+% 218.57/218.71 c_16905,c_17254,c_17283,c_17300,c_17349,c_17350,c_17427,+% 218.57/218.71 c_17431,c_17554,c_17556,c_17740,c_17770,c_17786,c_17790,+% 218.57/218.71 c_17799,c_17800,c_17816,c_17853,c_17915,c_17931,c_18615,+% 218.57/218.71 c_18616,c_18617,c_18984,c_18997,c_19246,c_19340,c_19346,+% 218.57/218.71 c_19400,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,+% 218.57/218.71 c_21762,c_22085,c_22510,c_22568,c_22593,c_23145,c_23147,+% 218.57/218.71 c_23297,c_23671,c_25032,c_25031,c_25989,c_26105,c_26103,+% 218.57/218.71 c_26603,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,+% 218.57/218.71 c_28198,c_29330,c_33231,c_33461,c_33694,c_33893,c_34088,+% 218.57/218.71 c_34901,c_35201,c_36100,c_38592,c_38580,c_38851,c_38896,+% 218.57/218.71 c_38949,c_39126,c_39778,c_40255,c_44248,c_44601,c_49003,+% 218.57/218.71 c_51437,c_62013,c_68501,c_68690,c_68975,c_68974,c_69063,+% 218.57/218.71 c_69423,c_71340,c_74870,c_76914,c_77143,c_95072,+% 218.57/218.71 c_102572,c_107767,c_107924,c_112325,c_112444,c_115060,+% 218.57/218.71 c_138057,c_138069,c_138092,c_149258,c_157089,c_157091,+% 218.57/218.71 c_164541,c_164542]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_178764,plain,+% 218.57/218.71 ( op2(e23,e22) = op2(e23,op2(e20,e23)) | e22 != op2(e20,e23) ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_164536]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_180014,plain,+% 218.57/218.71 ( op2(op2(e20,e21),e22) = op2(e23,op2(e20,e23))+% 218.57/218.71 | e22 != op2(e20,e23) ),+% 218.57/218.71 inference(global_propositional_subsumption,+% 218.57/218.71 [status(thm)],+% 218.57/218.71 [c_166043,c_155173,c_165269,c_178764]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_181861,plain,+% 218.57/218.71 ( op2(op2(e20,e21),e22) != op2(e23,op2(e20,e23))+% 218.57/218.71 | op2(e23,op2(e20,e23)) = op2(op2(e20,e21),e22) ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_181828]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_139566,plain,+% 218.57/218.71 ( X0 != X1 | op2(e21,e23) != X1 | op2(e21,e23) = X0 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_153976,plain,+% 218.57/218.71 ( X0 != op2(e21,op2(e20,e21))+% 218.57/218.71 | op2(e21,e23) = X0+% 218.57/218.71 | op2(e21,e23) != op2(e21,op2(e20,e21)) ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_139566]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_170401,plain,+% 218.57/218.71 ( op2(e21,e23) != op2(e21,op2(e20,e21))+% 218.57/218.71 | op2(e21,e23) = e21+% 218.57/218.71 | e21 != op2(e21,op2(e20,e21)) ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_153976]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_157,plain,+% 218.57/218.71 ( op2(e21,e21) != op2(e21,e23) ),+% 218.57/218.71 inference(cnf_transformation,[],[f238]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_86,plain,+% 218.57/218.71 ( e20 = op2(e20,e21)+% 218.57/218.71 | e20 = op2(e21,e21)+% 218.57/218.71 | e20 = op2(e22,e21)+% 218.57/218.71 | e20 = op2(e23,e21) ),+% 218.57/218.71 inference(cnf_transformation,[],[f133]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_1943,plain,+% 218.57/218.71 ( sP4+% 218.57/218.71 | sP5+% 218.57/218.71 | op2(e21,op2(e20,e21)) = e21+% 218.57/218.71 | op2(e23,op2(e23,e23)) = e23 ),+% 218.57/218.71 inference(resolution,[status(thm)],[c_248,c_246]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_17558,plain,+% 218.57/218.71 ( e20 != op2(e21,e21) | e20 = e21 | e21 != op2(e21,e21) ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_16755]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_16668,plain,+% 218.57/218.71 ( op2(e21,e21) != X0+% 218.57/218.71 | op2(e21,e21) = op2(e21,e23)+% 218.57/218.71 | op2(e21,e23) != X0 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_17747,plain,+% 218.57/218.71 ( op2(e21,e21) != op2(e21,e21)+% 218.57/218.71 | op2(e21,e21) = op2(e21,e23)+% 218.57/218.71 | op2(e21,e23) != op2(e21,e21) ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_16668]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_19094,plain,+% 218.57/218.71 ( op2(e20,e21) != op2(e20,e21)+% 218.57/218.71 | op2(e20,e21) = op2(e20,e22)+% 218.57/218.71 | op2(e20,e22) != op2(e20,e21) ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_16682]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_16688,plain,+% 218.57/218.71 ( op2(e20,e20) != X0+% 218.57/218.71 | op2(e20,e20) = op2(e20,e21)+% 218.57/218.71 | op2(e20,e21) != X0 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_25030,plain,+% 218.57/218.71 ( op2(e20,e20) = op2(e20,e21)+% 218.57/218.71 | op2(e20,e20) != e22+% 218.57/218.71 | op2(e20,e21) != e22 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_16688]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_26604,plain,+% 218.57/218.71 ( op2(e21,e21) != e21 | e21 = op2(e21,e21) | e21 != e21 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_19525]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_33333,plain,+% 218.57/218.71 ( op2(e20,e21) != e21 | e21 = op2(e20,e21) | e21 != e21 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_31484]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_30186,plain,+% 218.57/218.71 ( op2(e21,e21) = op2(X0,X1) | e21 != X0 | e21 != X1 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_31202,plain,+% 218.57/218.71 ( op2(e21,e21) = op2(e21,X0) | e21 != X0 | e21 != e21 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_30186]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_38487,plain,+% 218.57/218.71 ( op2(e21,e21) = op2(e21,op2(e20,e21))+% 218.57/218.71 | e21 != op2(e20,e21)+% 218.57/218.71 | e21 != e21 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_31202]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_60439,plain,+% 218.57/218.71 ( op2(e21,e20) = op2(X0,X1) | e20 != X1 | e21 != X0 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_61527,plain,+% 218.57/218.71 ( op2(e21,e20) = op2(X0,op2(e20,e21))+% 218.57/218.71 | e20 != op2(e20,e21)+% 218.57/218.71 | e21 != X0 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_60439]) ).+% 218.57/218.71 +% 218.57/218.71 cnf(c_63683,plain,+% 218.57/218.71 ( op2(e21,e20) = op2(e21,op2(e20,e21))+% 218.57/218.71 | e20 != op2(e20,e21)+% 218.57/218.71 | e21 != e21 ),+% 218.57/218.71 inference(instantiation,[status(thm)],[c_61527]) ).+% 218.57/218.71 +% 218.57/218.72 cnf(c_60428,plain,+% 218.57/218.72 ( op2(e21,e21) != X0+% 218.57/218.72 | op2(e21,e23) != X0+% 218.57/218.72 | op2(e21,e23) = op2(e21,e21) ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_68612,plain,+% 218.57/218.72 ( op2(e21,e21) != op2(e21,op2(e20,e21))+% 218.57/218.72 | op2(e21,e23) != op2(e21,op2(e20,e21))+% 218.57/218.72 | op2(e21,e23) = op2(e21,e21) ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_60428]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_60412,plain,+% 218.57/218.72 ( op2(e21,e23) != X0 | op2(e21,e23) = e21 | e21 != X0 ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_69096,plain,+% 218.57/218.72 ( op2(e21,e23) != op2(e21,op2(e20,e21))+% 218.57/218.72 | op2(e21,e23) = e21+% 218.57/218.72 | e21 != op2(e21,op2(e20,e21)) ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_60412]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_59528,plain,+% 218.57/218.72 ( op2(e21,e20) != X0+% 218.57/218.72 | op2(e21,e20) = op2(e21,e23)+% 218.57/218.72 | op2(e21,e23) != X0 ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_60438,plain,+% 218.57/218.72 ( op2(e21,e20) != op2(X0,X1)+% 218.57/218.72 | op2(e21,e20) = op2(e21,e23)+% 218.57/218.72 | op2(e21,e23) != op2(X0,X1) ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_59528]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_69349,plain,+% 218.57/218.72 ( op2(e21,e20) != op2(e21,op2(e20,e21))+% 218.57/218.72 | op2(e21,e20) = op2(e21,e23)+% 218.57/218.72 | op2(e21,e23) != op2(e21,op2(e20,e21)) ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_60438]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_61535,plain,+% 218.57/218.72 ( X0 != e23 | op2(e20,e22) = X0 | op2(e20,e22) != e23 ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_60454]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_115073,plain,+% 218.57/218.72 ( op2(e20,e21) != e23+% 218.57/218.72 | op2(e20,e22) = op2(e20,e21)+% 218.57/218.72 | op2(e20,e22) != e23 ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_61535]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_139151,plain,+% 218.57/218.72 ( X0 != X1 | e21 != X1 | e21 = X0 ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_140775,plain,+% 218.57/218.72 ( X0 != e21 | e21 = X0 | e21 != e21 ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_139151]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_142407,plain,+% 218.57/218.72 ( e21 = X0 | X0 != e21 ),+% 218.57/218.72 inference(global_propositional_subsumption,+% 218.57/218.72 [status(thm)],+% 218.57/218.72 [c_140775,c_17431,c_19525]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_142408,plain,+% 218.57/218.72 ( X0 != e21 | e21 = X0 ),+% 218.57/218.72 inference(renaming,[status(thm)],[c_142407]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_142413,plain,+% 218.57/218.72 ( op2(e21,op2(e20,e21)) != e21 | e21 = op2(e21,op2(e20,e21)) ),+% 218.57/218.72 inference(instantiation,[status(thm)],[c_142408]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_197043,plain,+% 218.57/218.72 ( op2(e21,e23) = e21 | op2(e21,e23) != op2(e21,op2(e20,e21)) ),+% 218.57/218.72 inference(global_propositional_subsumption,+% 218.57/218.72 [status(thm)],+% 218.57/218.72 [c_170401,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.57/218.72 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,+% 218.57/218.72 c_178,c_176,c_174,c_167,c_166,c_164,c_159,c_157,c_155,+% 218.57/218.72 c_153,c_152,c_90,c_88,c_87,c_86,c_85,c_77,c_71,c_62,+% 218.57/218.72 c_61,c_1839,c_1943,c_16905,c_17254,c_17300,c_17335,+% 218.57/218.72 c_17349,c_17350,c_17427,c_17431,c_17554,c_17558,c_17740,+% 218.57/218.72 c_17747,c_17748,c_17790,c_17800,c_17816,c_17931,c_17998,+% 218.57/218.72 c_18616,c_18617,c_18997,c_19094,c_19346,c_19400,c_20774,+% 218.57/218.72 c_20913,c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,+% 218.57/218.72 c_22510,c_22568,c_23147,c_23297,c_23671,c_25030,c_25989,+% 218.57/218.72 c_26105,c_26103,c_26603,c_26604,c_26610,c_27237,c_27239,+% 218.57/218.72 c_27939,c_27945,c_33333,c_33461,c_33694,c_33893,c_34088,+% 218.57/218.72 c_36100,c_38487,c_38592,c_38580,c_38851,c_38896,c_38949,+% 218.57/218.72 c_39126,c_39778,c_44248,c_49003,c_51437,c_63683,c_68261,+% 218.57/218.72 c_68501,c_68612,c_68975,c_68974,c_69096,c_69349,c_69423,+% 218.57/218.72 c_71340,c_76914,c_95072,c_102572,c_107767,c_107924,+% 218.57/218.72 c_112325,c_115073,c_142413,c_149258]) ).+% 218.57/218.72 +% 218.57/218.72 cnf(c_197044,plain,+% 218.57/218.72 ( op2(e21,e23) != op2(e21,op2(e20,e21)) | op2(e21,e23) = e21 ),+% 218.57/218.72 inference(renaming,[status(thm)],[c_197043]) ).+% 218.57/218.72 +% 218.57/218.73 cnf(c_213204,plain,+% 218.57/218.73 ( op2(e23,op2(e20,e23)) = op2(op2(e20,e21),e22)+% 218.57/218.73 | e23 != op2(e20,e21) ),+% 218.57/218.73 inference(global_propositional_subsumption,+% 218.57/218.73 [status(thm)],+% 218.57/218.73 [c_182201,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.57/218.73 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,+% 218.57/218.73 c_176,c_175,c_174,c_173,c_171,c_166,c_163,c_162,c_160,+% 218.57/218.73 c_158,c_155,c_153,c_90,c_89,c_88,c_87,c_77,c_71,c_68,+% 218.57/218.73 c_67,c_60,c_57,c_1865,c_1969,c_16905,c_17254,c_17300,+% 218.57/218.73 c_17349,c_17350,c_17427,c_17431,c_17554,c_17556,c_17740,+% 218.57/218.73 c_17770,c_17786,c_17799,c_17800,c_17853,c_17890,c_17931,+% 218.57/218.73 c_18615,c_18616,c_18617,c_18984,c_18997,c_19246,c_19346,+% 218.57/218.73 c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,c_21762,+% 218.57/218.73 c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,c_23671,+% 218.57/218.73 c_25031,c_25989,c_26105,c_26103,c_26603,c_26605,c_26610,+% 218.57/218.73 c_27237,c_27239,c_27939,c_27945,c_28329,c_29330,c_33231,+% 218.57/218.73 c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,c_38580,+% 218.57/218.73 c_38851,c_38896,c_38949,c_39778,c_40255,c_44248,c_44601,+% 218.57/218.73 c_48118,c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,+% 218.57/218.73 c_68974,c_69063,c_74870,c_76914,c_77143,c_95072,+% 218.57/218.73 c_102572,c_107767,c_112325,c_112444,c_113093,c_115060,+% 218.57/218.73 c_138057,c_138069,c_138092,c_143356,c_155173,c_165269,+% 218.57/218.73 c_166043,c_178764,c_181861,c_197044,c_212876,c_212882]) ).+% 218.57/218.73 +% 218.57/218.73 cnf(c_145800,plain,+% 218.57/218.73 ( X0 != op2(op2(e20,e21),e22)+% 218.57/218.73 | op2(e23,e22) = X0+% 218.57/218.73 | op2(e23,e22) != op2(op2(e20,e21),e22) ),+% 218.57/218.73 inference(instantiation,[status(thm)],[c_138882]) ).+% 218.57/218.73 +% 218.57/218.73 cnf(c_155426,plain,+% 218.57/218.73 ( op2(X0,X1) != op2(op2(e20,e21),e22)+% 218.57/218.73 | op2(e23,e22) = op2(X0,X1)+% 218.57/218.73 | op2(e23,e22) != op2(op2(e20,e21),e22) ),+% 218.57/218.73 inference(instantiation,[status(thm)],[c_145800]) ).+% 218.57/218.73 +% 218.57/218.73 cnf(c_213212,plain,+% 218.57/218.73 ( op2(e23,op2(e20,e23)) != op2(op2(e20,e21),e22)+% 218.57/218.73 | op2(e23,e22) != op2(op2(e20,e21),e22)+% 218.57/218.73 | op2(e23,e22) = op2(e23,op2(e20,e23)) ),+% 218.57/218.73 inference(instantiation,[status(thm)],[c_155426]) ).+% 218.57/218.73 +% 218.57/218.73 cnf(c_225164,plain,+% 218.57/218.73 ( op2(e20,e22) = e23 | op2(e23,e22) = e23 ),+% 218.57/218.73 inference(global_propositional_subsumption,+% 218.57/218.73 [status(thm)],+% 218.57/218.73 [c_72,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,+% 218.57/218.73 c_187,c_179,c_178,c_177,c_175,c_174,c_166,c_155,c_153,+% 218.57/218.73 c_90,c_88,c_77,c_61,c_49,c_16905,c_17254,c_17300,+% 218.57/218.73 c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_17790,+% 218.57/218.73 c_17816,c_17914,c_17915,c_18617,c_18971,c_19346,c_19400,+% 218.57/218.73 c_20774,c_21017,c_21159,c_21422,c_22510,c_23147,c_25989,+% 218.57/218.73 c_26105,c_26103,c_26603,c_26610,c_27945,c_33694,c_33893,+% 218.57/218.73 c_34088,c_36100,c_38580,c_38896,c_39126,c_39778,c_49003,+% 218.57/218.73 c_51437,c_68975,c_68974,c_69423,c_71340,c_95072,+% 218.57/218.73 c_102572,c_107924,c_108004,c_112325,c_138050,c_139658,+% 218.57/218.73 c_149258]) ).+% 218.57/218.73 +% 218.57/218.74 cnf(c_230830,plain,+% 218.57/218.74 ( op2(e20,e22) = e23 | op2(e23,e22) = e23 ),+% 218.57/218.74 inference(global_propositional_subsumption,+% 218.57/218.74 [status(thm)],+% 218.57/218.74 [c_72,c_225164]) ).+% 218.57/218.74 +% 218.57/218.74 cnf(c_231022,plain,+% 218.57/218.74 ( op2(e23,e22) = e23 | e23 = op2(e20,e22) ),+% 218.57/218.74 inference(resolution,[status(thm)],[c_231004,c_230830]) ).+% 218.57/218.74 +% 218.57/218.74 cnf(c_239027,plain,+% 218.57/218.74 ( e23 = op2(e20,e22) | e23 = op2(e23,e22) ),+% 218.57/218.74 inference(resolution,[status(thm)],[c_231022,c_231004]) ).+% 218.57/218.74 +% 218.57/218.74 cnf(c_231075,plain,+% 218.57/218.74 ( op2(e21,e21) = e22 | op2(e21,e22) = e22 | op2(e21,e23) = e22 ),+% 218.57/218.74 inference(global_propositional_subsumption,+% 218.57/218.74 [status(thm)],+% 218.57/218.74 [c_83,c_257,c_256,c_255,c_203,c_199,c_198,c_191,c_187,+% 218.57/218.74 c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,+% 218.57/218.74 c_17427,c_17431,c_17554,c_18617,c_19346,c_21159,c_21422,+% 218.57/218.74 c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,+% 218.57/218.74 c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,+% 218.57/218.74 c_68975,c_95072,c_102572,c_112325]) ).+% 218.57/218.74 +% 218.57/218.74 cnf(c_66,plain,+% 218.57/218.74 ( op2(e20,e23) = e22+% 218.57/218.74 | op2(e21,e23) = e22+% 218.57/218.74 | op2(e22,e23) = e22+% 218.57/218.74 | op2(e23,e23) = e22 ),+% 218.57/218.74 inference(cnf_transformation,[],[f153]) ).+% 218.57/218.74 +% 218.57/218.74 cnf(c_17635,plain,+% 218.57/218.74 ( op2(e23,e20) != op2(e23,e20)+% 218.57/218.74 | op2(e23,e20) = op2(e23,e22)+% 218.57/218.74 | op2(e23,e22) != op2(e23,e20) ),+% 218.57/218.74 inference(instantiation,[status(thm)],[c_16650]) ).+% 218.57/218.74 +% 218.57/218.74 cnf(c_29572,plain,+% 218.57/218.74 ( op2(e23,e21) != X0+% 218.57/218.74 | op2(e23,e21) = op2(e23,e22)+% 218.57/218.74 | op2(e23,e22) != X0 ),+% 218.57/218.74 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.74 +% 218.57/218.74 cnf(c_44595,plain,+% 218.57/218.74 ( op2(e23,e21) = op2(e23,e22)+% 218.57/218.74 | op2(e23,e21) != e22+% 218.57/218.74 | op2(e23,e22) != e22 ),+% 218.57/218.74 inference(instantiation,[status(thm)],[c_29572]) ).+% 218.57/218.74 +% 218.57/218.74 cnf(c_59513,plain,+% 218.57/218.74 ( op2(e23,e22) != X0+% 218.57/218.74 | op2(e23,e22) = op2(e23,e23)+% 218.57/218.74 | op2(e23,e23) != X0 ),+% 218.57/218.74 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.57/218.74 +% 218.57/218.74 cnf(c_90234,plain,+% 218.57/218.74 ( op2(e23,e22) = op2(e23,e23)+% 218.57/218.74 | op2(e23,e22) != e22+% 218.57/218.74 | op2(e23,e23) != e22 ),+% 218.57/218.74 inference(instantiation,[status(thm)],[c_59513]) ).+% 218.57/218.74 +% 218.57/218.74 cnf(c_107918,plain,+% 218.57/218.74 ( op2(e23,e20) != e22+% 218.57/218.74 | op2(e23,e22) = op2(e23,e20)+% 218.57/218.74 | op2(e23,e22) != e22 ),+% 218.57/218.74 inference(instantiation,[status(thm)],[c_90235]) ).+% 218.57/218.74 +% 218.57/218.74 cnf(c_82,plain,+% 218.57/218.74 ( op2(e20,e21) = e22+% 218.57/218.74 | op2(e21,e21) = e22+% 218.57/218.74 | op2(e22,e21) = e22+% 218.57/218.74 | op2(e23,e21) = e22 ),+% 218.57/218.74 inference(cnf_transformation,[],[f137]) ).+% 218.57/218.74 +% 218.65/218.74 cnf(c_17253,plain,+% 218.65/218.74 ( op2(e23,e22) != op2(e23,e22)+% 218.65/218.74 | op2(e23,e22) = op2(e23,e23)+% 218.65/218.74 | op2(e23,e23) != op2(e23,e22) ),+% 218.65/218.74 inference(instantiation,[status(thm)],[c_16642]) ).+% 218.65/218.74 +% 218.65/218.74 cnf(c_17842,plain,+% 218.65/218.74 ( op2(e21,e23) = op2(e21,e23) ),+% 218.65/218.74 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.65/218.74 +% 218.65/218.74 cnf(c_18652,plain,+% 218.65/218.74 ( op2(e22,e21) = op2(e23,e21)+% 218.65/218.74 | op2(e22,e21) != e23+% 218.65/218.74 | op2(e23,e21) != e23 ),+% 218.65/218.74 inference(instantiation,[status(thm)],[c_16714]) ).+% 218.65/218.74 +% 218.65/218.74 cnf(c_16694,plain,+% 218.65/218.74 ( op2(e21,e23) != X0+% 218.65/218.74 | op2(e21,e23) = op2(e22,e23)+% 218.65/218.74 | op2(e22,e23) != X0 ),+% 218.65/218.74 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.74 +% 218.65/218.74 cnf(c_19411,plain,+% 218.65/218.74 ( op2(e21,e23) != op2(e21,e23)+% 218.65/218.74 | op2(e21,e23) = op2(e22,e23)+% 218.65/218.74 | op2(e22,e23) != op2(e21,e23) ),+% 218.65/218.74 inference(instantiation,[status(thm)],[c_16694]) ).+% 218.65/218.74 +% 218.65/218.74 cnf(c_17616,plain,+% 218.65/218.74 ( op2(e23,e22) != X0+% 218.65/218.74 | op2(e23,e23) != X0+% 218.65/218.74 | op2(e23,e23) = op2(e23,e22) ),+% 218.65/218.74 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.74 +% 218.65/218.74 cnf(c_22081,plain,+% 218.65/218.74 ( op2(e23,e22) != e23+% 218.65/218.74 | op2(e23,e23) = op2(e23,e22)+% 218.65/218.74 | op2(e23,e23) != e23 ),+% 218.65/218.74 inference(instantiation,[status(thm)],[c_17616]) ).+% 218.65/218.74 +% 218.65/218.74 cnf(c_44784,plain,+% 218.65/218.74 ( op2(e21,e23) != e22+% 218.65/218.74 | op2(e22,e23) = op2(e21,e23)+% 218.65/218.74 | op2(e22,e23) != e22 ),+% 218.65/218.74 inference(instantiation,[status(thm)],[c_32014]) ).+% 218.65/218.74 +% 218.65/218.74 cnf(c_18656,plain,+% 218.65/218.74 ( op2(e22,e21) != e23 | e23 = op2(e22,e21) | e23 != e23 ),+% 218.65/218.74 inference(instantiation,[status(thm)],[c_17391]) ).+% 218.65/218.74 +% 218.65/218.75 cnf(c_17860,plain,+% 218.65/218.75 ( op2(e20,e23) = op2(X0,X1) | e20 != X0 | e23 != X1 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_21291,plain,+% 218.65/218.75 ( op2(e20,e23) = op2(op2(e20,e20),X0)+% 218.65/218.75 | e20 != op2(e20,e20)+% 218.65/218.75 | e23 != X0 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_17860]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_29109,plain,+% 218.65/218.75 ( op2(e20,e23) = op2(op2(e20,e20),op2(e22,e21))+% 218.65/218.75 | e20 != op2(e20,e20)+% 218.65/218.75 | e23 != op2(e22,e21) ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_21291]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_59552,plain,+% 218.65/218.75 ( op2(e20,e21) != X0+% 218.65/218.75 | op2(e20,e21) = op2(e23,e21)+% 218.65/218.75 | op2(e23,e21) != X0 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_69667,plain,+% 218.65/218.75 ( op2(e20,e21) = op2(e23,e21)+% 218.65/218.75 | op2(e20,e21) != e20+% 218.65/218.75 | op2(e23,e21) != e20 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_59552]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_89055,plain,+% 218.65/218.75 ( X0 != op2(e23,e21) | e20 = X0 | e20 != op2(e23,e21) ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_60272]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_99363,plain,+% 218.65/218.75 ( op2(e20,e22) != op2(e23,e21)+% 218.65/218.75 | e20 = op2(e20,e22)+% 218.65/218.75 | e20 != op2(e23,e21) ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_89055]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_80,plain,+% 218.65/218.75 ( op2(e20,e21) = e23+% 218.65/218.75 | op2(e21,e21) = e23+% 218.65/218.75 | op2(e22,e21) = e23+% 218.65/218.75 | op2(e23,e21) = e23 ),+% 218.65/218.75 inference(cnf_transformation,[],[f139]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_16676,plain,+% 218.65/218.75 ( op2(e21,e20) != X0+% 218.65/218.75 | op2(e21,e20) = op2(e21,e21)+% 218.65/218.75 | op2(e21,e21) != X0 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_17778,plain,+% 218.65/218.75 ( op2(e21,e20) = op2(e21,e21)+% 218.65/218.75 | op2(e21,e20) != e23+% 218.65/218.75 | op2(e21,e21) != e23 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16676]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_138084,plain,+% 218.65/218.75 ( op2(e20,e21) = e23 | op2(e22,e21) = e23 | op2(e23,e21) = e23 ),+% 218.65/218.75 inference(global_propositional_subsumption,+% 218.65/218.75 [status(thm)],+% 218.65/218.75 [c_80,c_257,c_256,c_255,c_203,c_199,c_191,c_187,c_161,+% 218.65/218.75 c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,+% 218.65/218.75 c_17427,c_17431,c_17554,c_17778,c_18617,c_19346,c_21159,+% 218.65/218.75 c_21422,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,+% 218.65/218.75 c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,c_68975,+% 218.65/218.75 c_95072,c_102572]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_139499,plain,+% 218.65/218.75 ( X0 != X1 | op2(e20,e22) != X1 | op2(e20,e22) = X0 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_140849,plain,+% 218.65/218.75 ( X0 != e21 | op2(e20,e22) = X0 | op2(e20,e22) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_139499]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_143222,plain,+% 218.65/218.75 ( op2(e20,e22) = op2(e23,e21)+% 218.65/218.75 | op2(e20,e22) != e21+% 218.65/218.75 | op2(e23,e21) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_140849]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_17808,plain,+% 218.65/218.75 ( op2(e20,e21) = op2(e20,e22)+% 218.65/218.75 | op2(e20,e21) != e21+% 218.65/218.75 | op2(e20,e22) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16682]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_59550,plain,+% 218.65/218.75 ( op2(e21,e21) != X0+% 218.65/218.75 | op2(e21,e21) = op2(e23,e21)+% 218.65/218.75 | op2(e23,e21) != X0 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_68565,plain,+% 218.65/218.75 ( op2(e21,e21) != op2(e20,e22)+% 218.65/218.75 | op2(e21,e21) = op2(e23,e21)+% 218.65/218.75 | op2(e23,e21) != op2(e20,e22) ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_59550]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_60125,plain,+% 218.65/218.75 ( X0 != X1 | op2(e21,e21) != X1 | op2(e21,e21) = X0 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_61036,plain,+% 218.65/218.75 ( X0 != e21 | op2(e21,e21) = X0 | op2(e21,e21) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_60125]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_90409,plain,+% 218.65/218.75 ( op2(e20,e22) != e21+% 218.65/218.75 | op2(e21,e21) = op2(e20,e22)+% 218.65/218.75 | op2(e21,e21) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_61036]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_90406,plain,+% 218.65/218.75 ( X0 != e21 | op2(e20,e22) = X0 | op2(e20,e22) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_60454]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_115256,plain,+% 218.65/218.75 ( op2(e20,e22) = op2(e23,e21)+% 218.65/218.75 | op2(e20,e22) != e21+% 218.65/218.75 | op2(e23,e21) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_90406]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_138892,plain,+% 218.65/218.75 ( X0 != X1 | op2(e23,e21) != X1 | op2(e23,e21) = X0 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_140120,plain,+% 218.65/218.75 ( X0 != e21 | op2(e23,e21) = X0 | op2(e23,e21) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_138892]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_142653,plain,+% 218.65/218.75 ( op2(e20,e22) != e21+% 218.65/218.75 | op2(e23,e21) = op2(e20,e22)+% 218.65/218.75 | op2(e23,e21) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_140120]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_169,plain,+% 218.65/218.75 ( op2(e21,e23) != op2(e23,e23) ),+% 218.65/218.75 inference(cnf_transformation,[],[f226]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_16692,plain,+% 218.65/218.75 ( op2(e21,e23) != X0+% 218.65/218.75 | op2(e21,e23) = op2(e23,e23)+% 218.65/218.75 | op2(e23,e23) != X0 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_17841,plain,+% 218.65/218.75 ( op2(e21,e23) != op2(e21,e23)+% 218.65/218.75 | op2(e21,e23) = op2(e23,e23)+% 218.65/218.75 | op2(e23,e23) != op2(e21,e23) ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16692]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_19044,plain,+% 218.65/218.75 ( op2(e20,e22) != op2(e20,e22)+% 218.65/218.75 | op2(e20,e22) = op2(e21,e22)+% 218.65/218.75 | op2(e21,e22) != op2(e20,e22) ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16712]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_44109,plain,+% 218.65/218.75 ( op2(e20,e22) != e21 | e21 = op2(e20,e22) | e21 != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_31484]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_31136,plain,+% 218.65/218.75 ( X0 != e22 | op2(e21,e22) = X0 | op2(e21,e22) != e22 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_30159]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_49014,plain,+% 218.65/218.75 ( op2(e20,e22) != e22+% 218.65/218.75 | op2(e21,e22) = op2(e20,e22)+% 218.65/218.75 | op2(e21,e22) != e22 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_31136]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_61335,plain,+% 218.65/218.75 ( op2(e21,e23) != X0+% 218.65/218.75 | op2(e23,e23) != X0+% 218.65/218.75 | op2(e23,e23) = op2(e21,e23) ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_77138,plain,+% 218.65/218.75 ( op2(e21,e23) != e21+% 218.65/218.75 | op2(e23,e23) = op2(e21,e23)+% 218.65/218.75 | op2(e23,e23) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_61335]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_60035,plain,+% 218.65/218.75 ( X0 != X1 | op2(e23,e21) != X1 | op2(e23,e21) = X0 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_115250,plain,+% 218.65/218.75 ( X0 != e21 | op2(e23,e21) = X0 | op2(e23,e21) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_60035]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_127540,plain,+% 218.65/218.75 ( op2(e20,e22) != e21+% 218.65/218.75 | op2(e23,e21) = op2(e20,e22)+% 218.65/218.75 | op2(e23,e21) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_115250]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_69,plain,+% 218.65/218.75 ( op2(e23,e20) = e21+% 218.65/218.75 | op2(e23,e21) = e21+% 218.65/218.75 | op2(e23,e22) = e21+% 218.65/218.75 | op2(e23,e23) = e21 ),+% 218.65/218.75 inference(cnf_transformation,[],[f150]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_186,plain,+% 218.65/218.75 ( op2(e22,e20) != op2(e23,e20) ),+% 218.65/218.75 inference(cnf_transformation,[],[f209]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_18417,plain,+% 218.65/218.75 ( X0 != e21 | op2(e23,e20) = X0 | op2(e23,e20) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_17277]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_20866,plain,+% 218.65/218.75 ( op2(e22,op2(e22,e22)) != e21+% 218.65/218.75 | op2(e23,e20) = op2(e22,op2(e22,e22))+% 218.65/218.75 | op2(e23,e20) != e21 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_18417]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_16726,plain,+% 218.65/218.75 ( op2(e22,e20) != X0+% 218.65/218.75 | op2(e22,e20) = op2(e23,e20)+% 218.65/218.75 | op2(e23,e20) != X0 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_26104,plain,+% 218.65/218.75 ( op2(e22,e20) != op2(e22,op2(e22,e22))+% 218.65/218.75 | op2(e22,e20) = op2(e23,e20)+% 218.65/218.75 | op2(e23,e20) != op2(e22,op2(e22,e22)) ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16726]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_138066,plain,+% 218.65/218.75 ( op2(e23,e21) = e21 | op2(e23,e22) = e21 | op2(e23,e23) = e21 ),+% 218.65/218.75 inference(global_propositional_subsumption,+% 218.65/218.75 [status(thm)],+% 218.65/218.75 [c_69,c_257,c_256,c_186,c_17427,c_20866,c_21159,c_26104]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_139568,plain,+% 218.65/218.75 ( op2(e21,e23) = op2(X0,X1) | e21 != X0 | e23 != X1 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.65/218.75 +% 218.65/218.75 cnf(c_141973,plain,+% 218.65/218.75 ( op2(e21,e23) = op2(e21,X0) | e21 != e21 | e23 != X0 ),+% 218.65/218.75 inference(instantiation,[status(thm)],[c_139568]) ).+% 218.65/218.75 +% 218.65/218.76 cnf(c_145066,plain,+% 218.65/218.76 ( op2(e21,e23) = op2(e21,X0) | e23 != X0 ),+% 218.65/218.76 inference(global_propositional_subsumption,+% 218.65/218.76 [status(thm)],+% 218.65/218.76 [c_141973,c_17431,c_21078]) ).+% 218.65/218.76 +% 218.65/218.76 cnf(c_145078,plain,+% 218.65/218.76 ( op2(e21,e23) = op2(e21,op2(e20,e21)) | e23 != op2(e20,e21) ),+% 218.65/218.76 inference(instantiation,[status(thm)],[c_145066]) ).+% 218.65/218.76 +% 218.65/218.76 cnf(c_138253,plain,+% 218.65/218.76 ( e21 != X0 | e21 = e23 | e23 != X0 ),+% 218.65/218.76 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.76 +% 218.65/218.76 cnf(c_16747,plain,+% 218.65/218.76 ( e21 != X0 | e21 = e23 | e23 != X0 ),+% 218.65/218.76 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.76 +% 218.65/218.76 cnf(c_139145,plain,+% 218.65/218.76 ( e21 != X0 | e23 != X0 ),+% 218.65/218.76 inference(global_propositional_subsumption,+% 218.65/218.76 [status(thm)],+% 218.65/218.76 [c_138253,c_199,c_16747]) ).+% 218.65/218.76 +% 218.65/218.76 cnf(c_148192,plain,+% 218.65/218.76 ( e21 != op2(e20,e22) | e23 != op2(e20,e22) ),+% 218.65/218.76 inference(instantiation,[status(thm)],[c_139145]) ).+% 218.65/218.76 +% 218.65/218.76 cnf(c_148794,plain,+% 218.65/218.76 ( op2(e23,e21) = op2(e20,e22) | op2(e20,e22) != e21 ),+% 218.65/218.76 inference(global_propositional_subsumption,+% 218.65/218.76 [status(thm)],+% 218.65/218.76 [c_142653,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.65/218.76 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,+% 218.65/218.76 c_178,c_177,c_176,c_175,c_174,c_171,c_169,c_167,c_166,+% 218.65/218.76 c_164,c_163,c_162,c_160,c_159,c_158,c_157,c_155,c_153,+% 218.65/218.76 c_152,c_90,c_89,c_88,c_87,c_86,c_85,c_77,c_71,c_68,c_67,+% 218.65/218.76 c_62,c_61,c_57,c_1839,c_1865,c_1943,c_1969,c_16905,+% 218.65/218.76 c_17254,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,+% 218.65/218.76 c_17554,c_17556,c_17558,c_17740,c_17747,c_17748,c_17770,+% 218.65/218.76 c_17786,c_17790,c_17799,c_17800,c_17841,c_17842,c_17853,+% 218.65/218.76 c_17915,c_17931,c_17998,c_18615,c_18616,c_18617,c_18984,+% 218.65/218.76 c_18997,c_19044,c_19094,c_19246,c_19340,c_19346,c_20774,+% 218.65/218.76 c_20913,c_20955,c_21017,c_21045,c_21159,c_21422,c_21762,+% 218.65/218.76 c_22467,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,+% 218.65/218.76 c_23671,c_25031,c_25030,c_25989,c_26105,c_26103,c_26603,+% 218.65/218.76 c_26604,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,+% 218.65/218.76 c_29330,c_33333,c_33461,c_33694,c_33893,c_34088,c_35201,+% 218.65/218.76 c_36100,c_38487,c_38592,c_38580,c_38851,c_38896,c_38949,+% 218.65/218.76 c_39126,c_39778,c_40255,c_44109,c_44248,c_44601,c_49003,+% 218.65/218.76 c_49014,c_51437,c_62013,c_63683,c_68261,c_68501,c_68612,+% 218.65/218.76 c_68690,c_68975,c_68974,c_69063,c_69096,c_69349,c_74870,+% 218.65/218.76 c_76914,c_77138,c_77143,c_95072,c_102572,c_107767,+% 218.65/218.76 c_112325,c_112444,c_115073,c_115060,c_127540,c_138057,+% 218.65/218.76 c_138066,c_138069,c_138092,c_142413,c_145078,c_148192]) ).+% 218.65/218.76 +% 218.65/218.76 cnf(c_148795,plain,+% 218.65/218.76 ( op2(e20,e22) != e21 | op2(e23,e21) = op2(e20,e22) ),+% 218.65/218.76 inference(renaming,[status(thm)],[c_148794]) ).+% 218.65/218.76 +% 218.65/218.77 cnf(c_149599,plain,+% 218.65/218.77 ( op2(e20,e22) != e21 | op2(e20,e22) = op2(e23,e21) ),+% 218.65/218.77 inference(global_propositional_subsumption,+% 218.65/218.77 [status(thm)],+% 218.65/218.77 [c_143222,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.65/218.77 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_181,+% 218.65/218.77 c_179,c_178,c_177,c_176,c_175,c_174,c_171,c_169,c_167,+% 218.65/218.77 c_166,c_164,c_163,c_162,c_160,c_159,c_158,c_157,c_155,+% 218.65/218.77 c_153,c_152,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_77,+% 218.65/218.77 c_71,c_68,c_67,c_62,c_61,c_57,c_1839,c_1865,c_1943,+% 218.65/218.77 c_1969,c_16905,c_17254,c_17300,c_17335,c_17349,c_17350,+% 218.65/218.77 c_17427,c_17431,c_17554,c_17556,c_17558,c_17740,c_17747,+% 218.65/218.77 c_17748,c_17770,c_17786,c_17790,c_17799,c_17800,c_17808,+% 218.65/218.77 c_17841,c_17842,c_17853,c_17915,c_17931,c_17998,c_18615,+% 218.65/218.77 c_18616,c_18617,c_18984,c_18997,c_19044,c_19094,c_19246,+% 218.65/218.77 c_19340,c_19346,c_20774,c_20913,c_20955,c_21017,c_21045,+% 218.65/218.77 c_21159,c_21422,c_21762,c_22467,c_22510,c_22568,c_22593,+% 218.65/218.77 c_23145,c_23147,c_23297,c_23671,c_25031,c_25030,c_25989,+% 218.65/218.77 c_26105,c_26103,c_26603,c_26604,c_26605,c_26610,c_27237,+% 218.65/218.77 c_27239,c_27939,c_27945,c_29330,c_33333,c_33461,c_33694,+% 218.65/218.77 c_33893,c_34088,c_35201,c_36100,c_38487,c_38592,c_38580,+% 218.65/218.77 c_38851,c_38896,c_38949,c_39126,c_39778,c_40255,c_44109,+% 218.65/218.77 c_44248,c_44601,c_49003,c_49014,c_51437,c_62013,c_63683,+% 218.65/218.77 c_68261,c_68501,c_68565,c_68612,c_68690,c_68975,c_68974,+% 218.65/218.77 c_69063,c_69096,c_69349,c_74870,c_76914,c_77138,c_77143,+% 218.65/218.77 c_90409,c_95072,c_102572,c_107767,c_112325,c_112444,+% 218.65/218.77 c_115073,c_115060,c_115256,c_127540,c_138057,c_138066,+% 218.65/218.77 c_138069,c_138092,c_142413,c_145078,c_148192]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_149600,plain,+% 218.65/218.77 ( op2(e20,e22) = op2(e23,e21) | op2(e20,e22) != e21 ),+% 218.65/218.77 inference(renaming,[status(thm)],[c_149599]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_139501,plain,+% 218.65/218.77 ( op2(e20,e22) = op2(X0,X1) | e20 != X0 | e22 != X1 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_140934,plain,+% 218.65/218.77 ( op2(e20,e22) = op2(op2(e20,e20),X0)+% 218.65/218.77 | e20 != op2(e20,e20)+% 218.65/218.77 | e22 != X0 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_139501]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_147931,plain,+% 218.65/218.77 ( op2(e20,e22) = op2(op2(e20,e20),op2(e22,e21))+% 218.65/218.77 | e20 != op2(e20,e20)+% 218.65/218.77 | e22 != op2(e22,e21) ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_140934]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_149,plain,+% 218.65/218.77 ( op2(e23,e20) != op2(e23,e21) ),+% 218.65/218.77 inference(cnf_transformation,[],[f246]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_16652,plain,+% 218.65/218.77 ( op2(e23,e20) != X0+% 218.65/218.77 | op2(e23,e20) = op2(e23,e21)+% 218.65/218.77 | op2(e23,e21) != X0 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_17291,plain,+% 218.65/218.77 ( op2(e23,e20) = op2(e23,e21)+% 218.65/218.77 | op2(e23,e20) != e22+% 218.65/218.77 | op2(e23,e21) != e22 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_16652]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_17544,plain,+% 218.65/218.77 ( e20 != op2(e20,e20) | e20 = e22 | e22 != op2(e20,e20) ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_16753]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_16670,plain,+% 218.65/218.77 ( op2(e21,e21) != X0+% 218.65/218.77 | op2(e21,e21) = op2(e21,e22)+% 218.65/218.77 | op2(e21,e22) != X0 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_18978,plain,+% 218.65/218.77 ( op2(e21,e21) != op2(e21,e21)+% 218.65/218.77 | op2(e21,e21) = op2(e21,e22)+% 218.65/218.77 | op2(e21,e22) != op2(e21,e21) ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_16670]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_23146,plain,+% 218.65/218.77 ( op2(e22,e21) != e22 | e22 = op2(e22,e21) | e22 != e22 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_19519]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_25034,plain,+% 218.65/218.77 ( op2(e20,e20) != e22 | e22 = op2(e20,e20) | e22 != e22 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_19519]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_17793,plain,+% 218.65/218.77 ( op2(e20,e22) = op2(X0,X1) | e20 != X0 | e22 != X1 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_20368,plain,+% 218.65/218.77 ( op2(e20,e22) = op2(op2(e20,e20),X0)+% 218.65/218.77 | e20 != op2(e20,e20)+% 218.65/218.77 | e22 != X0 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_17793]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_28131,plain,+% 218.65/218.77 ( op2(e20,e22) = op2(op2(e20,e20),op2(e22,e21))+% 218.65/218.77 | e20 != op2(e20,e20)+% 218.65/218.77 | e22 != op2(e22,e21) ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_20368]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_31682,plain,+% 218.65/218.77 ( X0 != e22 | op2(e20,e21) = X0 | op2(e20,e21) != e22 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_30564]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_33768,plain,+% 218.65/218.77 ( op2(e20,e21) = op2(e23,e20)+% 218.65/218.77 | op2(e20,e21) != e22+% 218.65/218.77 | op2(e23,e20) != e22 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_31682]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_29610,plain,+% 218.65/218.77 ( op2(e20,e21) != X0+% 218.65/218.77 | op2(e20,e21) = op2(e22,e21)+% 218.65/218.77 | op2(e22,e21) != X0 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_39366,plain,+% 218.65/218.77 ( op2(e20,e21) = op2(e22,e21)+% 218.65/218.77 | op2(e20,e21) != op2(e23,e20)+% 218.65/218.77 | op2(e22,e21) != op2(e23,e20) ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_29610]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_44749,plain,+% 218.65/218.77 ( op2(e21,e21) != e22+% 218.65/218.77 | op2(e21,e22) = op2(e21,e21)+% 218.65/218.77 | op2(e21,e22) != e22 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_31136]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_159159,plain,+% 218.65/218.77 ( e20 != op2(e20,e20)+% 218.65/218.77 | op2(e20,e22) = op2(op2(e20,e20),op2(e22,e21)) ),+% 218.65/218.77 inference(global_propositional_subsumption,+% 218.65/218.77 [status(thm)],+% 218.65/218.77 [c_147931,c_257,c_256,c_255,c_203,c_202,c_200,c_199,+% 218.65/218.77 c_198,c_191,c_187,c_155,c_153,c_90,c_88,c_77,c_16905,+% 218.65/218.77 c_17300,c_17349,c_17350,c_17427,c_17431,c_17544,c_17554,+% 218.65/218.77 c_18617,c_19346,c_21159,c_21422,c_22510,c_23146,c_23147,+% 218.65/218.77 c_23297,c_25034,c_26105,c_26103,c_26603,c_26610,c_27945,+% 218.65/218.77 c_28131,c_33893,c_34075,c_34088,c_36100,c_38580,c_38896,+% 218.65/218.77 c_39778,c_49003,c_51437,c_68975,c_68974,c_95072,+% 218.65/218.77 c_102572,c_112325,c_138078,c_159105]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_159160,plain,+% 218.65/218.77 ( op2(e20,e22) = op2(op2(e20,e20),op2(e22,e21))+% 218.65/218.77 | e20 != op2(e20,e20) ),+% 218.65/218.77 inference(renaming,[status(thm)],[c_159159]) ).+% 218.65/218.77 +% 218.65/218.77 cnf(c_138216,plain,+% 218.65/218.77 ( op2(e20,e22) != X0+% 218.65/218.77 | op2(e20,e22) = op2(e20,e23)+% 218.65/218.77 | op2(e20,e23) != X0 ),+% 218.65/218.77 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.65/218.77 +% 218.68/218.77 cnf(c_139493,plain,+% 218.68/218.77 ( op2(e20,e22) != X0 | op2(e20,e23) != X0 ),+% 218.68/218.77 inference(global_propositional_subsumption,+% 218.68/218.77 [status(thm)],+% 218.68/218.77 [c_138216,c_162,c_16678]) ).+% 218.68/218.77 +% 218.68/218.77 cnf(c_139500,plain,+% 218.68/218.77 ( op2(e20,e22) != op2(X0,X1) | op2(e20,e23) != op2(X0,X1) ),+% 218.68/218.77 inference(instantiation,[status(thm)],[c_139493]) ).+% 218.68/218.77 +% 218.68/218.77 cnf(c_159167,plain,+% 218.68/218.77 ( op2(e20,e22) != op2(op2(e20,e20),op2(e22,e21))+% 218.68/218.77 | op2(e20,e23) != op2(op2(e20,e20),op2(e22,e21)) ),+% 218.68/218.77 inference(instantiation,[status(thm)],[c_139500]) ).+% 218.68/218.77 +% 218.68/218.78 cnf(c_225126,plain,+% 218.68/218.78 ( op2(e23,e21) = e23 | op2(e23,e21) = e22 | op2(e23,e21) = e21 ),+% 218.68/218.78 inference(global_propositional_subsumption,+% 218.68/218.78 [status(thm)],+% 218.68/218.78 [c_50,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,+% 218.68/218.78 c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,+% 218.68/218.78 c_176,c_166,c_164,c_155,c_153,c_95,c_90,c_88,c_87,c_77,+% 218.68/218.78 c_61,c_1865,c_16905,c_17261,c_17300,c_17349,c_17350,+% 218.68/218.78 c_17427,c_17431,c_17476,c_17554,c_17740,c_17790,c_17800,+% 218.68/218.78 c_17816,c_18617,c_18656,c_18997,c_19094,c_19246,c_19335,+% 218.68/218.78 c_19346,c_19400,c_20804,c_20955,c_21017,c_21159,c_21422,+% 218.68/218.78 c_21762,c_22510,c_23147,c_23671,c_26105,c_26103,c_26603,+% 218.68/218.78 c_26610,c_27237,c_27239,c_27939,c_27945,c_29109,c_33231,+% 218.68/218.78 c_33461,c_33694,c_33893,c_34088,c_36100,c_38592,c_38580,+% 218.68/218.78 c_38851,c_38896,c_38949,c_39126,c_39778,c_44248,c_44653,+% 218.68/218.78 c_48118,c_49003,c_51437,c_68501,c_68975,c_68974,c_69423,+% 218.68/218.78 c_69667,c_71340,c_95072,c_99363,c_102572,c_107767,+% 218.68/218.78 c_107924,c_112325,c_115073,c_138084,c_149258,c_149600,+% 218.68/218.78 c_159160,c_159167]) ).+% 218.68/218.78 +% 218.68/218.78 cnf(c_225127,plain,+% 218.68/218.78 ( op2(e23,e21) = e21 | op2(e23,e21) = e22 | op2(e23,e21) = e23 ),+% 218.68/218.78 inference(renaming,[status(thm)],[c_225126]) ).+% 218.68/218.78 +% 218.68/218.78 cnf(c_225180,plain,+% 218.68/218.78 ( op2(e21,e21) = e22 | op2(e22,e21) = e22 | op2(e23,e21) = e22 ),+% 218.68/218.78 inference(global_propositional_subsumption,+% 218.68/218.78 [status(thm)],+% 218.68/218.78 [c_82,c_257,c_256,c_255,c_203,c_202,c_200,c_199,c_198,+% 218.68/218.78 c_191,c_189,c_187,c_184,c_179,c_175,c_172,c_170,c_168,+% 218.68/218.78 c_166,c_155,c_153,c_149,c_148,c_91,c_90,c_88,c_83,c_77,+% 218.68/218.78 c_75,c_67,c_16905,c_17300,c_17349,c_17350,c_17427,+% 218.68/218.78 c_17431,c_17539,c_17554,c_17816,c_17835,c_17842,c_18617,+% 218.68/218.78 c_18984,c_19346,c_19400,c_19398,c_19411,c_21159,c_21422,+% 218.68/218.78 c_22510,c_23147,c_24684,c_24688,c_25036,c_26105,c_26103,+% 218.68/218.78 c_26603,c_26610,c_27945,c_33768,c_33893,c_34088,c_36100,+% 218.68/218.78 c_38045,c_38044,c_38580,c_38896,c_39366,c_39778,c_44784,+% 218.68/218.78 c_44824,c_49003,c_51437,c_68148,c_68975,c_68974,c_69423,+% 218.68/218.78 c_70839,c_71340,c_90237,c_95072,c_95411,c_101640,+% 218.68/218.78 c_102572,c_107924,c_112325,c_131061,c_142969,c_149072,+% 218.68/218.78 c_149258,c_225131]) ).+% 218.68/218.79 +% 218.68/218.79 cnf(c_230940,plain,+% 218.68/218.79 ( op2(e21,e21) = e22 | op2(e22,e21) = e22 | op2(e23,e21) = e22 ),+% 218.68/218.79 inference(global_propositional_subsumption,+% 218.68/218.79 [status(thm)],+% 218.68/218.79 [c_82,c_225180]) ).+% 218.68/218.79 +% 218.68/218.79 cnf(c_62175,plain,+% 218.68/218.79 ( X0 != op2(e20,e22) | X0 = e23 | e23 != op2(e20,e22) ),+% 218.68/218.79 inference(instantiation,[status(thm)],[c_61127]) ).+% 218.68/218.79 +% 218.68/218.79 cnf(c_68131,plain,+% 218.68/218.79 ( op2(e23,e21) != op2(e20,e22)+% 218.68/218.79 | op2(e23,e21) = e23+% 218.68/218.79 | e23 != op2(e20,e22) ),+% 218.68/218.79 inference(instantiation,[status(thm)],[c_62175]) ).+% 218.68/218.79 +% 218.68/218.79 cnf(c_152990,plain,+% 218.68/218.79 ( op2(e22,e23) != op2(e23,e22)+% 218.68/218.79 | op2(e22,e23) = e23+% 218.68/218.79 | e23 != op2(e23,e22) ),+% 218.68/218.79 inference(instantiation,[status(thm)],[c_141748]) ).+% 218.68/218.79 +% 218.68/218.79 cnf(c_17711,plain,+% 218.68/218.79 ( op2(e22,e23) != X0 | op2(e22,e23) = e23 | e23 != X0 ),+% 218.68/218.79 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.79 +% 218.68/218.79 cnf(c_23373,plain,+% 218.68/218.79 ( op2(e22,e23) != op2(e22,e23)+% 218.68/218.79 | op2(e22,e23) = e23+% 218.68/218.79 | e23 != op2(e22,e23) ),+% 218.68/218.79 inference(instantiation,[status(thm)],[c_17711]) ).+% 218.68/218.79 +% 218.68/218.79 cnf(c_152991,plain,+% 218.68/218.79 ( op2(e22,e23) != op2(e23,e22)+% 218.68/218.79 | e23 = op2(e22,e23)+% 218.68/218.79 | e23 != op2(e23,e22) ),+% 218.68/218.79 inference(instantiation,[status(thm)],[c_141584]) ).+% 218.68/218.79 +% 218.68/218.79 cnf(c_140290,plain,+% 218.68/218.79 ( op2(e22,e23) != e23 | e23 = op2(e22,e23) ),+% 218.68/218.79 inference(instantiation,[status(thm)],[c_140288]) ).+% 218.68/218.79 +% 218.68/218.79 cnf(c_164608,plain,+% 218.68/218.79 ( e23 = op2(e22,e23) | e23 != op2(e23,e22) ),+% 218.68/218.79 inference(global_propositional_subsumption,+% 218.68/218.79 [status(thm)],+% 218.68/218.79 [c_152991,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.68/218.79 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,+% 218.68/218.79 c_176,c_175,c_174,c_171,c_166,c_163,c_162,c_160,c_159,+% 218.68/218.79 c_158,c_155,c_153,c_144,c_90,c_89,c_88,c_87,c_77,c_71,+% 218.68/218.79 c_68,c_67,c_64,c_57,c_1865,c_1969,c_16905,c_17253,+% 218.68/218.79 c_17254,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,+% 218.68/218.79 c_17556,c_17740,c_17760,c_17770,c_17786,c_17799,c_17800,+% 218.68/218.79 c_17853,c_17931,c_18615,c_18616,c_18617,c_18984,c_18997,+% 218.68/218.79 c_19246,c_19346,c_20774,c_20913,c_20955,c_21017,c_21159,+% 218.68/218.79 c_21422,c_21762,c_22081,c_22510,c_22568,c_22593,c_23145,+% 218.68/218.79 c_23147,c_23297,c_23671,c_25031,c_25989,c_26105,c_26103,+% 218.68/218.79 c_26603,c_26605,c_26610,c_27237,c_27239,c_27939,c_27945,+% 218.68/218.79 c_29330,c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,+% 218.68/218.79 c_38580,c_38851,c_38896,c_38949,c_39778,c_40255,c_40399,+% 218.68/218.79 c_44248,c_44601,c_49003,c_51437,c_62013,c_68501,c_68690,+% 218.68/218.79 c_68975,c_68974,c_69063,c_74870,c_76914,c_77143,c_95072,+% 218.68/218.79 c_102572,c_107767,c_112325,c_112444,c_115060,c_138057,+% 218.68/218.79 c_138069,c_138092,c_140290]) ).+% 218.68/218.79 +% 218.68/218.80 cnf(c_169584,plain,+% 218.68/218.80 ( op2(e22,e23) = e23 | e23 != op2(e23,e22) ),+% 218.68/218.80 inference(global_propositional_subsumption,+% 218.68/218.80 [status(thm)],+% 218.68/218.80 [c_152990,c_17835,c_23373,c_164608]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_226621,plain,+% 218.68/218.80 ( X0 != X1 | op2(e23,e21) != X1 | op2(e23,e21) = X0 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_228115,plain,+% 218.68/218.80 ( X0 != e21 | op2(e23,e21) = X0 | op2(e23,e21) != e21 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_226621]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_232127,plain,+% 218.68/218.80 ( op2(e20,e22) != e21+% 218.68/218.80 | op2(e23,e21) = op2(e20,e22)+% 218.68/218.80 | op2(e23,e21) != e21 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_228115]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_30482,plain,+% 218.68/218.80 ( op2(e21,e23) != X0 | op2(e21,e23) = e23 | e23 != X0 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_47912,plain,+% 218.68/218.80 ( op2(e21,e23) != op2(e20,e22)+% 218.68/218.80 | op2(e21,e23) = e23+% 218.68/218.80 | e23 != op2(e20,e22) ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_30482]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_112692,plain,+% 218.68/218.80 ( op2(e20,e22) != op2(e20,e22)+% 218.68/218.80 | op2(e20,e22) = e21+% 218.68/218.80 | e21 != op2(e20,e22) ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_61542]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_153345,plain,+% 218.68/218.80 ( X0 != op2(e23,e21)+% 218.68/218.80 | op2(e21,e23) = X0+% 218.68/218.80 | op2(e21,e23) != op2(e23,e21) ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_139566]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_183278,plain,+% 218.68/218.80 ( op2(e20,e22) != op2(e23,e21)+% 218.68/218.80 | op2(e21,e23) = op2(e20,e22)+% 218.68/218.80 | op2(e21,e23) != op2(e23,e21) ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_153345]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_230570,plain,+% 218.68/218.80 ( op2(e20,e22) = e23 | op2(e20,e22) = e21 ),+% 218.68/218.80 inference(global_propositional_subsumption,+% 218.68/218.80 [status(thm)],+% 218.68/218.80 [c_61,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,+% 218.68/218.80 c_187,c_179,c_178,c_166,c_155,c_153,c_90,c_88,c_77,+% 218.68/218.80 c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,+% 218.68/218.80 c_17790,c_17816,c_18617,c_19346,c_19400,c_21017,c_21159,+% 218.68/218.80 c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,+% 218.68/218.80 c_27945,c_33694,c_33893,c_34088,c_36100,c_38580,c_38896,+% 218.68/218.80 c_39126,c_39778,c_49003,c_51437,c_68975,c_68974,c_69423,+% 218.68/218.80 c_71340,c_95072,c_102572,c_107924,c_112325,c_149258]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_230571,plain,+% 218.68/218.80 ( op2(e20,e22) = e21 | op2(e20,e22) = e23 ),+% 218.68/218.80 inference(renaming,[status(thm)],[c_230570]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_265,plain,+% 218.68/218.80 ( e21 = h2(e12) ),+% 218.68/218.80 inference(cnf_transformation,[],[f322]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_224701,plain,+% 218.68/218.80 ( X0 != h2(e12) | X0 = e21 ),+% 218.68/218.80 inference(resolution,[status(thm)],[c_16532,c_265]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_224858,plain,+% 218.68/218.80 ( h2(e12) = e21 ),+% 218.68/218.80 inference(resolution,[status(thm)],[c_224701,c_16531]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_224862,plain,+% 218.68/218.80 ( X0 = h2(e12) | X0 != e21 ),+% 218.68/218.80 inference(resolution,[status(thm)],[c_224858,c_16532]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_224947,plain,+% 218.68/218.80 ( X0 = X1 | X0 != h2(e12) | X1 != e21 ),+% 218.68/218.80 inference(resolution,[status(thm)],[c_224862,c_16532]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_230241,plain,+% 218.68/218.80 ( X0 != e21 | e21 = X0 ),+% 218.68/218.80 inference(resolution,[status(thm)],[c_224947,c_265]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_230605,plain,+% 218.68/218.80 ( op2(e20,e22) = e23 | e21 = op2(e20,e22) ),+% 218.68/218.80 inference(resolution,[status(thm)],[c_230571,c_230241]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_231021,plain,+% 218.68/218.80 ( e21 = op2(e20,e22) | e23 = op2(e20,e22) ),+% 218.68/218.80 inference(resolution,[status(thm)],[c_231004,c_230605]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_226071,plain,+% 218.68/218.80 ( X0 != X1 | op2(e20,e22) != X1 | op2(e20,e22) = X0 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_227118,plain,+% 218.68/218.80 ( X0 != e21 | op2(e20,e22) = X0 | op2(e20,e22) != e21 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_226071]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_231606,plain,+% 218.68/218.80 ( op2(e20,e22) = op2(e23,e21)+% 218.68/218.80 | op2(e20,e22) != e21+% 218.68/218.80 | op2(e23,e21) != e21 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_227118]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_168,plain,+% 218.68/218.80 ( op2(e22,e23) != op2(e23,e23) ),+% 218.68/218.80 inference(cnf_transformation,[],[f227]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_145,plain,+% 218.68/218.80 ( op2(e23,e21) != op2(e23,e23) ),+% 218.68/218.80 inference(cnf_transformation,[],[f250]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_91,plain,+% 218.68/218.80 ( op2(e20,e20) = e22+% 218.68/218.80 | op2(e20,e21) = e22+% 218.68/218.80 | op2(e20,e22) = e22+% 218.68/218.80 | op2(e20,e23) = e22 ),+% 218.68/218.80 inference(cnf_transformation,[],[f128]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_48,plain,+% 218.68/218.80 ( op2(e23,e23) = e21+% 218.68/218.80 | op2(e23,e23) = e22+% 218.68/218.80 | op2(e23,e23) = e23+% 218.68/218.80 | e20 = op2(e23,e23) ),+% 218.68/218.80 inference(cnf_transformation,[],[f123]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_1891,plain,+% 218.68/218.80 ( sP4+% 218.68/218.80 | sP5+% 218.68/218.80 | op2(e21,op2(e20,e21)) = e21+% 218.68/218.80 | op2(e22,op2(e23,e22)) = e22 ),+% 218.68/218.80 inference(resolution,[status(thm)],[c_249,c_246]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_16690,plain,+% 218.68/218.80 ( op2(e22,e23) != X0+% 218.68/218.80 | op2(e22,e23) = op2(e23,e23)+% 218.68/218.80 | op2(e23,e23) != X0 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_17834,plain,+% 218.68/218.80 ( op2(e22,e23) != op2(e22,e23)+% 218.68/218.80 | op2(e22,e23) = op2(e23,e23)+% 218.68/218.80 | op2(e23,e23) != op2(e22,e23) ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_16690]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_17957,plain,+% 218.68/218.80 ( op2(e20,e21) = op2(e23,e21)+% 218.68/218.80 | op2(e20,e21) != e21+% 218.68/218.80 | op2(e23,e21) != e21 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_16720]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_16644,plain,+% 218.68/218.80 ( op2(e23,e21) != X0+% 218.68/218.80 | op2(e23,e21) = op2(e23,e23)+% 218.68/218.80 | op2(e23,e23) != X0 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_22698,plain,+% 218.68/218.80 ( op2(e23,e21) = op2(e23,e23)+% 218.68/218.80 | op2(e23,e21) != e21+% 218.68/218.80 | op2(e23,e23) != e21 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_16644]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_25029,plain,+% 218.68/218.80 ( op2(e20,e20) = op2(e23,e20)+% 218.68/218.80 | op2(e20,e20) != e22+% 218.68/218.80 | op2(e23,e20) != e22 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_16732]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_27238,plain,+% 218.68/218.80 ( op2(e21,op2(e20,e21)) != e21+% 218.68/218.80 | op2(e22,e20) = op2(e21,op2(e20,e21))+% 218.68/218.80 | op2(e22,e20) != e21 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_18492]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_34079,plain,+% 218.68/218.80 ( op2(e22,op2(e23,e22)) != e22+% 218.68/218.80 | op2(e22,e23) = op2(e22,op2(e23,e22))+% 218.68/218.80 | op2(e22,e23) != e22 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_32014]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_31516,plain,+% 218.68/218.80 ( op2(e22,e23) != X0+% 218.68/218.80 | op2(e23,e23) != X0+% 218.68/218.80 | op2(e23,e23) = op2(e22,e23) ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_40588,plain,+% 218.68/218.80 ( op2(e22,e23) != e23+% 218.68/218.80 | op2(e23,e23) = op2(e22,e23)+% 218.68/218.80 | op2(e23,e23) != e23 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_31516]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_59557,plain,+% 218.68/218.80 ( op2(e21,e20) != X0+% 218.68/218.80 | op2(e21,e20) = op2(e22,e20)+% 218.68/218.80 | op2(e22,e20) != X0 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_69342,plain,+% 218.68/218.80 ( op2(e21,e20) != op2(e21,op2(e20,e21))+% 218.68/218.80 | op2(e21,e20) = op2(e22,e20)+% 218.68/218.80 | op2(e22,e20) != op2(e21,op2(e20,e21)) ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_59557]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_112554,plain,+% 218.68/218.80 ( op2(e22,e22) = op2(e22,op2(e23,e22))+% 218.68/218.80 | e22 != op2(e23,e22)+% 218.68/218.80 | e22 != e22 ),+% 218.68/218.80 inference(instantiation,[status(thm)],[c_61103]) ).+% 218.68/218.80 +% 218.68/218.80 cnf(c_51,plain,+% 218.68/218.80 ( op2(e23,e20) = e21+% 218.68/218.80 | op2(e23,e20) = e22+% 218.68/218.80 | op2(e23,e20) = e23+% 218.68/218.80 | e20 = op2(e23,e20) ),+% 218.68/218.80 inference(cnf_transformation,[],[f120]) ).+% 218.68/218.80 +% 218.68/218.81 cnf(c_138040,plain,+% 218.68/218.81 ( op2(e23,e20) = e22 | e20 = op2(e23,e20) ),+% 218.68/218.81 inference(global_propositional_subsumption,+% 218.68/218.81 [status(thm)],+% 218.68/218.81 [c_51,c_257,c_256,c_255,c_187,c_186,c_16905,c_17300,+% 218.68/218.81 c_17427,c_17431,c_18617,c_20866,c_21159,c_26104,c_26610,+% 218.68/218.81 c_27945,c_38896,c_51437,c_95072,c_102572]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_52,plain,+% 218.68/218.81 ( op2(e22,e23) = e21+% 218.68/218.81 | op2(e22,e23) = e22+% 218.68/218.81 | op2(e22,e23) = e23+% 218.68/218.81 | e20 = op2(e22,e23) ),+% 218.68/218.81 inference(cnf_transformation,[],[f119]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_17260,plain,+% 218.68/218.81 ( op2(e23,e21) != op2(e23,e21)+% 218.68/218.81 | op2(e23,e21) = op2(e23,e23)+% 218.68/218.81 | op2(e23,e23) != op2(e23,e21) ),+% 218.68/218.81 inference(instantiation,[status(thm)],[c_16644]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_17620,plain,+% 218.68/218.81 ( op2(e23,e21) != X0+% 218.68/218.81 | op2(e23,e23) != X0+% 218.68/218.81 | op2(e23,e23) = op2(e23,e21) ),+% 218.68/218.81 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_19866,plain,+% 218.68/218.81 ( op2(e23,e21) != e23+% 218.68/218.81 | op2(e23,e23) = op2(e23,e21)+% 218.68/218.81 | op2(e23,e23) != e23 ),+% 218.68/218.81 inference(instantiation,[status(thm)],[c_17620]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_16745,plain,+% 218.68/218.81 ( e22 != X0 | e22 = e23 | e23 != X0 ),+% 218.68/218.81 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_26679,plain,+% 218.68/218.81 ( e22 != op2(e22,e21) | e22 = e23 | e23 != op2(e22,e21) ),+% 218.68/218.81 inference(instantiation,[status(thm)],[c_16745]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_139144,plain,+% 218.68/218.81 ( X0 != X1 | e22 != X1 | e22 = X0 ),+% 218.68/218.81 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_140708,plain,+% 218.68/218.81 ( X0 != e22 | e22 = X0 | e22 != e22 ),+% 218.68/218.81 inference(instantiation,[status(thm)],[c_139144]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_142397,plain,+% 218.68/218.81 ( e22 = X0 | X0 != e22 ),+% 218.68/218.81 inference(global_propositional_subsumption,+% 218.68/218.81 [status(thm)],+% 218.68/218.81 [c_140708,c_17427,c_19519]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_142398,plain,+% 218.68/218.81 ( X0 != e22 | e22 = X0 ),+% 218.68/218.81 inference(renaming,[status(thm)],[c_142397]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_142400,plain,+% 218.68/218.81 ( op2(e22,e21) != e22 | e22 = op2(e22,e21) ),+% 218.68/218.81 inference(instantiation,[status(thm)],[c_142398]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_141753,plain,+% 218.68/218.81 ( X0 != op2(e20,e21) | X0 = e23 | e23 != op2(e20,e21) ),+% 218.68/218.81 inference(instantiation,[status(thm)],[c_140296]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_153231,plain,+% 218.68/218.81 ( op2(e22,e23) != op2(e20,e21)+% 218.68/218.81 | op2(e22,e23) = e23+% 218.68/218.81 | e23 != op2(e20,e21) ),+% 218.68/218.81 inference(instantiation,[status(thm)],[c_141753]) ).+% 218.68/218.81 +% 218.68/218.81 cnf(c_153232,plain,+% 218.68/218.81 ( op2(e22,e23) != op2(e20,e21)+% 218.68/218.81 | e23 != op2(e20,e21)+% 218.68/218.81 | e23 = op2(e22,e23) ),+% 218.68/218.81 inference(instantiation,[status(thm)],[c_141652]) ).+% 218.68/218.81 +% 218.68/218.82 cnf(c_164658,plain,+% 218.68/218.82 ( e23 != op2(e20,e21) | e23 = op2(e22,e23) ),+% 218.68/218.82 inference(global_propositional_subsumption,+% 218.68/218.82 [status(thm)],+% 218.68/218.82 [c_153232,c_257,c_256,c_255,c_203,c_200,c_199,c_198,+% 218.68/218.82 c_191,c_187,c_179,c_178,c_177,c_175,c_174,c_166,c_164,+% 218.68/218.82 c_155,c_153,c_90,c_88,c_77,c_61,c_49,c_16905,c_17254,+% 218.68/218.82 c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,+% 218.68/218.82 c_17790,c_17806,c_17816,c_17914,c_17915,c_18617,c_18971,+% 218.68/218.82 c_19346,c_19400,c_20774,c_21017,c_21159,c_21422,c_22085,+% 218.68/218.82 c_22510,c_23147,c_25989,c_26105,c_26103,c_26603,c_26610,+% 218.68/218.82 c_27945,c_33694,c_33893,c_34088,c_36100,c_38580,c_38896,+% 218.68/218.82 c_39126,c_39778,c_49003,c_51437,c_68975,c_68974,c_69423,+% 218.68/218.82 c_71340,c_95072,c_102572,c_107924,c_108004,c_112325,+% 218.68/218.82 c_138050,c_139658,c_143356,c_149258,c_164608]) ).+% 218.68/218.82 +% 218.68/218.82 cnf(c_169629,plain,+% 218.68/218.82 ( op2(e22,e23) = e23 | e23 != op2(e20,e21) ),+% 218.68/218.82 inference(global_propositional_subsumption,+% 218.68/218.82 [status(thm)],+% 218.68/218.82 [c_153231,c_17835,c_23373,c_164658]) ).+% 218.68/218.82 +% 218.68/218.82 cnf(c_225130,plain,+% 218.68/218.82 ( op2(e22,e23) = e23 | op2(e22,e23) = e22 ),+% 218.68/218.82 inference(global_propositional_subsumption,+% 218.68/218.82 [status(thm)],+% 218.68/218.82 [c_52,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_202,+% 218.68/218.82 c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,c_176,+% 218.68/218.82 c_175,c_174,c_171,c_166,c_163,c_162,c_161,c_160,c_159,+% 218.68/218.82 c_158,c_155,c_153,c_145,c_90,c_89,c_88,c_87,c_80,c_77,+% 218.68/218.82 c_75,c_71,c_68,c_67,c_64,c_57,c_1865,c_1969,c_16905,+% 218.68/218.82 c_17254,c_17260,c_17261,c_17300,c_17349,c_17350,c_17427,+% 218.68/218.82 c_17431,c_17539,c_17554,c_17556,c_17740,c_17760,c_17770,+% 218.68/218.82 c_17778,c_17786,c_17799,c_17800,c_17853,c_17931,c_18615,+% 218.68/218.82 c_18616,c_18617,c_18656,c_18984,c_18997,c_19246,c_19346,+% 218.68/218.82 c_19866,c_20774,c_20913,c_20955,c_21017,c_21159,c_21422,+% 218.68/218.82 c_21762,c_22510,c_22568,c_22593,c_23145,c_23147,c_23297,+% 218.68/218.82 c_23671,c_25031,c_25989,c_26105,c_26103,c_26603,c_26605,+% 218.68/218.82 c_26610,c_26679,c_27237,c_27239,c_27939,c_27945,c_29330,+% 218.68/218.82 c_33461,c_33893,c_34088,c_35201,c_36100,c_38592,c_38580,+% 218.68/218.82 c_38851,c_38896,c_38949,c_39778,c_40255,c_44248,c_44601,+% 218.68/218.82 c_44824,c_49003,c_51437,c_62013,c_68501,c_68690,c_68975,+% 218.68/218.82 c_68974,c_69063,c_74870,c_76914,c_77143,c_95072,+% 218.68/218.82 c_102572,c_107767,c_112325,c_112444,c_115060,c_138057,+% 218.68/218.82 c_138069,c_138092,c_140292,c_142400,c_169629]) ).+% 218.68/218.82 +% 218.68/218.82 cnf(c_225131,plain,+% 218.68/218.82 ( op2(e22,e23) = e22 | op2(e22,e23) = e23 ),+% 218.68/218.82 inference(renaming,[status(thm)],[c_225130]) ).+% 218.68/218.82 +% 218.68/218.82 cnf(c_225358,plain,+% 218.68/218.82 ( op2(e20,e21) != X0+% 218.68/218.82 | op2(e20,e21) = op2(e22,e21)+% 218.68/218.82 | op2(e22,e21) != X0 ),+% 218.68/218.82 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.82 +% 218.68/218.83 cnf(c_226625,plain,+% 218.68/218.83 ( op2(e20,e21) != X0 | op2(e22,e21) != X0 ),+% 218.68/218.83 inference(global_propositional_subsumption,+% 218.68/218.83 [status(thm)],+% 218.68/218.83 [c_225358,c_184,c_16722]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_226627,plain,+% 218.68/218.83 ( op2(e20,e21) != e22 | op2(e22,e21) != e22 ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_226625]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_17797,plain,+% 218.68/218.83 ( op2(e20,e21) = op2(e20,e23)+% 218.68/218.83 | op2(e20,e21) != e22+% 218.68/218.83 | op2(e20,e23) != e22 ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_16680]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_19399,plain,+% 218.68/218.83 ( op2(e20,e20) != op2(e20,e20)+% 218.68/218.83 | op2(e20,e20) = op2(e20,e21)+% 218.68/218.83 | op2(e20,e21) != op2(e20,e20) ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_16688]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_44675,plain,+% 218.68/218.83 ( op2(e20,e20) != e22+% 218.68/218.83 | op2(e20,e21) = op2(e20,e20)+% 218.68/218.83 | op2(e20,e21) != e22 ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_31682]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_156,plain,+% 218.68/218.83 ( op2(e21,e22) != op2(e21,e23) ),+% 218.68/218.83 inference(cnf_transformation,[],[f239]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_147,plain,+% 218.68/218.83 ( op2(e23,e20) != op2(e23,e23) ),+% 218.68/218.83 inference(cnf_transformation,[],[f248]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_16648,plain,+% 218.68/218.83 ( op2(e23,e20) != X0+% 218.68/218.83 | op2(e23,e20) = op2(e23,e23)+% 218.68/218.83 | op2(e23,e23) != X0 ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_17273,plain,+% 218.68/218.83 ( op2(e23,e20) = op2(e23,e23)+% 218.68/218.83 | op2(e23,e20) != e22+% 218.68/218.83 | op2(e23,e23) != e22 ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_16648]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_16666,plain,+% 218.68/218.83 ( op2(e21,e22) != X0+% 218.68/218.83 | op2(e21,e22) = op2(e21,e23)+% 218.68/218.83 | op2(e21,e23) != X0 ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_18985,plain,+% 218.68/218.83 ( op2(e21,e22) = op2(e21,e23)+% 218.68/218.83 | op2(e21,e22) != e22+% 218.68/218.83 | op2(e21,e23) != e22 ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_16666]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_139377,plain,+% 218.68/218.83 ( op2(e22,e23) != X0 | op2(e22,e23) = e22 | e22 != X0 ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_147915,plain,+% 218.68/218.83 ( op2(e22,e23) != op2(e23,e20)+% 218.68/218.83 | op2(e22,e23) = e22+% 218.68/218.83 | e22 != op2(e23,e20) ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_139377]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_31066,plain,+% 218.68/218.83 ( X0 != op2(e23,e20)+% 218.68/218.83 | op2(e23,e20) = X0+% 218.68/218.83 | op2(e23,e20) != op2(e23,e20) ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_30107]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_38261,plain,+% 218.68/218.83 ( op2(e23,e20) != op2(e23,e20)+% 218.68/218.83 | op2(e23,e20) = e22+% 218.68/218.83 | e22 != op2(e23,e20) ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_31066]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_59541,plain,+% 218.68/218.83 ( op2(e20,e23) != X0+% 218.68/218.83 | op2(e20,e23) = op2(e22,e23)+% 218.68/218.83 | op2(e22,e23) != X0 ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_101640,plain,+% 218.68/218.83 ( op2(e20,e23) = op2(e22,e23)+% 218.68/218.83 | op2(e20,e23) != op2(e23,e20)+% 218.68/218.83 | op2(e22,e23) != op2(e23,e20) ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_59541]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_145080,plain,+% 218.68/218.83 ( op2(e20,e23) = op2(e23,e20)+% 218.68/218.83 | op2(e20,e23) != e22+% 218.68/218.83 | op2(e23,e20) != e22 ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_141974]) ).+% 218.68/218.83 +% 218.68/218.83 cnf(c_131061,plain,+% 218.68/218.83 ( op2(e20,e23) = op2(e23,e20)+% 218.68/218.83 | op2(e20,e23) != e22+% 218.68/218.83 | op2(e23,e20) != e22 ),+% 218.68/218.83 inference(instantiation,[status(thm)],[c_117825]) ).+% 218.68/218.83 +% 218.74/218.83 cnf(c_155873,plain,+% 218.74/218.83 ( op2(e20,e23) = op2(e23,e20) | op2(e23,e20) != e22 ),+% 218.74/218.83 inference(global_propositional_subsumption,+% 218.74/218.83 [status(thm)],+% 218.74/218.83 [c_145080,c_257,c_256,c_255,c_203,c_200,c_199,c_198,+% 218.74/218.83 c_191,c_189,c_187,c_184,c_179,c_166,c_155,c_153,c_91,+% 218.74/218.83 c_90,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,+% 218.74/218.83 c_17431,c_17554,c_17816,c_18617,c_19346,c_19400,c_19398,+% 218.74/218.83 c_21159,c_21422,c_22510,c_23147,c_25036,c_26105,c_26103,+% 218.74/218.83 c_26603,c_26610,c_27945,c_33768,c_33893,c_34088,c_36100,+% 218.74/218.83 c_38580,c_38896,c_39366,c_39778,c_49003,c_51437,c_68975,+% 218.74/218.83 c_68974,c_69423,c_71340,c_95072,c_102572,c_107924,+% 218.74/218.83 c_112325,c_131061,c_149072,c_149258]) ).+% 218.74/218.83 +% 218.74/218.84 cnf(c_159105,plain,+% 218.74/218.84 ( op2(e22,e23) != op2(e23,e20) | e22 != op2(e23,e20) ),+% 218.74/218.84 inference(global_propositional_subsumption,+% 218.74/218.84 [status(thm)],+% 218.74/218.84 [c_147915,c_257,c_256,c_255,c_203,c_200,c_199,c_198,+% 218.74/218.84 c_191,c_189,c_187,c_184,c_179,c_172,c_166,c_155,c_153,+% 218.74/218.84 c_91,c_90,c_88,c_77,c_16905,c_17276,c_17300,c_17349,+% 218.74/218.84 c_17350,c_17427,c_17431,c_17554,c_17816,c_18617,c_19346,+% 218.74/218.84 c_19400,c_19398,c_21159,c_21422,c_22510,c_23147,c_25036,+% 218.74/218.84 c_26105,c_26103,c_26603,c_26610,c_27945,c_33768,c_33893,+% 218.74/218.84 c_34088,c_36100,c_38261,c_38580,c_38896,c_39366,c_39778,+% 218.74/218.84 c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,c_95072,+% 218.74/218.84 c_101640,c_102572,c_107924,c_112325,c_131061,c_149072,+% 218.74/218.84 c_149258]) ).+% 218.74/218.84 +% 218.74/218.84 cnf(c_225198,plain,+% 218.74/218.84 ( op2(e20,e20) = e22 | op2(e20,e23) = e22 ),+% 218.74/218.84 inference(global_propositional_subsumption,+% 218.74/218.84 [status(thm)],+% 218.74/218.84 [c_91,c_257,c_256,c_255,c_203,c_202,c_200,c_199,c_198,+% 218.74/218.84 c_191,c_189,c_187,c_184,c_179,c_172,c_168,c_166,c_156,+% 218.74/218.84 c_155,c_153,c_149,c_148,c_147,c_90,c_88,c_77,c_74,c_67,+% 218.74/218.84 c_66,c_16905,c_17273,c_17283,c_17300,c_17349,c_17350,+% 218.74/218.84 c_17427,c_17431,c_17539,c_17554,c_17816,c_17835,c_18617,+% 218.74/218.84 c_18985,c_19346,c_19400,c_19398,c_21159,c_21422,c_22510,+% 218.74/218.84 c_23147,c_24684,c_24688,c_25036,c_26105,c_26103,c_26603,+% 218.74/218.84 c_26610,c_27945,c_33768,c_33893,c_34088,c_36100,c_38045,+% 218.74/218.84 c_38044,c_38580,c_38896,c_39366,c_39778,c_44824,c_49003,+% 218.74/218.84 c_51437,c_68148,c_68975,c_68974,c_69423,c_70839,c_71340,+% 218.74/218.84 c_90237,c_95072,c_95411,c_101640,c_102572,c_107924,+% 218.74/218.84 c_112325,c_131061,c_142969,c_149072,c_149258,c_225131]) ).+% 218.74/218.84 +% 218.74/218.85 cnf(c_227586,plain,+% 218.74/218.85 ( op2(e20,e21) != e22 ),+% 218.74/218.85 inference(global_propositional_subsumption,+% 218.74/218.85 [status(thm)],+% 218.74/218.85 [c_226627,c_167,c_163,c_17797,c_17816,c_19399,c_44675,+% 218.74/218.85 c_225198]) ).+% 218.74/218.85 +% 218.74/218.85 cnf(c_225917,plain,+% 218.74/218.85 ( X0 != X1 | op2(e23,e23) != X1 | op2(e23,e23) = X0 ),+% 218.74/218.85 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.74/218.85 +% 218.74/218.85 cnf(c_226979,plain,+% 218.74/218.85 ( X0 != op2(e23,e23)+% 218.74/218.85 | op2(e23,e23) = X0+% 218.74/218.85 | op2(e23,e23) != op2(e23,e23) ),+% 218.74/218.85 inference(instantiation,[status(thm)],[c_225917]) ).+% 218.74/218.85 +% 218.74/218.85 cnf(c_50834,plain,+% 218.74/218.85 ( op2(e23,e23) = op2(e23,e23) ),+% 218.74/218.85 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.74/218.85 +% 218.74/218.85 cnf(c_228256,plain,+% 218.74/218.85 ( op2(e23,e23) = X0 | X0 != op2(e23,e23) ),+% 218.74/218.85 inference(global_propositional_subsumption,+% 218.74/218.85 [status(thm)],+% 218.74/218.85 [c_226979,c_50834]) ).+% 218.74/218.85 +% 218.74/218.85 cnf(c_228257,plain,+% 218.74/218.85 ( X0 != op2(e23,e23) | op2(e23,e23) = X0 ),+% 218.74/218.85 inference(renaming,[status(thm)],[c_228256]) ).+% 218.74/218.85 +% 218.74/218.85 cnf(c_228258,plain,+% 218.74/218.85 ( op2(e23,e23) = e20 | e20 != op2(e23,e23) ),+% 218.74/218.85 inference(instantiation,[status(thm)],[c_228257]) ).+% 218.74/218.85 +% 218.74/218.85 cnf(c_225321,plain,+% 218.74/218.85 ( op2(e23,e20) != X0+% 218.74/218.85 | op2(e23,e20) = op2(e23,e23)+% 218.74/218.85 | op2(e23,e23) != X0 ),+% 218.74/218.85 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.74/218.85 +% 218.74/218.85 cnf(c_17275,plain,+% 218.74/218.85 ( op2(e23,e20) != op2(e23,e20)+% 218.74/218.85 | op2(e23,e20) = op2(e23,e23)+% 218.74/218.85 | op2(e23,e23) != op2(e23,e20) ),+% 218.74/218.85 inference(instantiation,[status(thm)],[c_16648]) ).+% 218.74/218.85 +% 218.74/218.85 cnf(c_17631,plain,+% 218.74/218.85 ( op2(e23,e20) != X0+% 218.74/218.85 | op2(e23,e23) != X0+% 218.74/218.85 | op2(e23,e23) = op2(e23,e20) ),+% 218.74/218.85 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.74/218.85 +% 218.76/218.86 cnf(c_225935,plain,+% 218.76/218.86 ( op2(e23,e20) != X0 | op2(e23,e23) != X0 ),+% 218.76/218.86 inference(global_propositional_subsumption,+% 218.76/218.86 [status(thm)],+% 218.76/218.86 [c_225321,c_147,c_17275,c_17276,c_17631]) ).+% 218.76/218.86 +% 218.76/218.86 cnf(c_231306,plain,+% 218.76/218.86 ( op2(e23,e20) != e20 | op2(e23,e23) != e20 ),+% 218.76/218.86 inference(instantiation,[status(thm)],[c_225935]) ).+% 218.76/218.86 +% 218.76/218.86 cnf(c_225324,plain,+% 218.76/218.86 ( op2(e22,e22) != X0+% 218.76/218.86 | op2(e22,e22) = op2(e22,e23)+% 218.76/218.86 | op2(e22,e23) != X0 ),+% 218.76/218.86 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.76/218.86 +% 218.76/218.86 cnf(c_150,plain,+% 218.76/218.86 ( op2(e22,e22) != op2(e22,e23) ),+% 218.76/218.86 inference(cnf_transformation,[],[f245]) ).+% 218.76/218.86 +% 218.76/218.86 cnf(c_16654,plain,+% 218.76/218.86 ( op2(e22,e22) != X0+% 218.76/218.86 | op2(e22,e22) = op2(e22,e23)+% 218.76/218.86 | op2(e22,e23) != X0 ),+% 218.76/218.86 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.76/218.86 +% 218.76/218.86 cnf(c_225958,plain,+% 218.76/218.86 ( op2(e22,e22) != X0 | op2(e22,e23) != X0 ),+% 218.76/218.86 inference(global_propositional_subsumption,+% 218.76/218.86 [status(thm)],+% 218.76/218.86 [c_225324,c_150,c_16654]) ).+% 218.76/218.86 +% 218.76/218.86 cnf(c_225964,plain,+% 218.76/218.86 ( op2(e22,e22) != op2(X0,X1) | op2(e22,e23) != op2(X0,X1) ),+% 218.76/218.86 inference(instantiation,[status(thm)],[c_225958]) ).+% 218.76/218.86 +% 218.76/218.86 cnf(c_234170,plain,+% 218.76/218.86 ( op2(e22,e22) != op2(e22,op2(e23,e22))+% 218.76/218.86 | op2(e22,e23) != op2(e22,op2(e23,e22)) ),+% 218.76/218.86 inference(instantiation,[status(thm)],[c_225964]) ).+% 218.76/218.86 +% 218.76/218.87 cnf(c_237769,plain,+% 218.76/218.87 ( op2(e20,e22) = op2(e23,e21) | op2(e23,e21) != e21 ),+% 218.76/218.87 inference(global_propositional_subsumption,+% 218.76/218.87 [status(thm)],+% 218.76/218.87 [c_231606,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.76/218.87 c_201,c_200,c_199,c_198,c_191,c_189,c_188,c_187,c_186,+% 218.76/218.87 c_183,c_179,c_178,c_177,c_176,c_168,c_167,c_166,c_164,+% 218.76/218.87 c_163,c_155,c_153,c_146,c_145,c_144,c_90,c_88,c_87,c_77,+% 218.76/218.87 c_62,c_61,c_51,c_48,c_1891,c_16905,c_17276,c_17300,+% 218.76/218.87 c_17349,c_17350,c_17427,c_17431,c_17554,c_17740,c_17790,+% 218.76/218.87 c_17797,c_17800,c_17816,c_17834,c_17835,c_17913,c_17957,+% 218.76/218.87 c_18617,c_18997,c_19094,c_19346,c_19400,c_19399,c_20866,+% 218.76/218.87 c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_22582,+% 218.76/218.87 c_22698,c_22697,c_23147,c_23671,c_25029,c_26105,c_26104,+% 218.76/218.87 c_26103,c_26603,c_26610,c_27237,c_27238,c_27945,c_28198,+% 218.76/218.87 c_33461,c_33694,c_33893,c_34079,c_34088,c_36100,c_38592,+% 218.76/218.87 c_38580,c_38896,c_38949,c_39126,c_39778,c_40588,c_44248,+% 218.76/218.87 c_44675,c_49003,c_51437,c_63683,c_68501,c_68975,c_68974,+% 218.76/218.87 c_69342,c_69423,c_71340,c_90234,c_90241,c_95072,+% 218.76/218.87 c_102572,c_107767,c_107924,c_112325,c_112554,c_112692,+% 218.76/218.87 c_115073,c_138039,c_149258,c_149600,c_157089,c_157091,+% 218.76/218.87 c_225131,c_225198,c_228258,c_231021,c_231306,c_234170]) ).+% 218.76/218.87 +% 218.76/218.87 cnf(c_226539,plain,+% 218.76/218.87 ( X0 != X1 | op2(e21,e23) != X1 | op2(e21,e23) = X0 ),+% 218.76/218.87 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.76/218.87 +% 218.76/218.87 cnf(c_227669,plain,+% 218.76/218.87 ( X0 != e21 | op2(e21,e23) = X0 | op2(e21,e23) != e21 ),+% 218.76/218.87 inference(instantiation,[status(thm)],[c_226539]) ).+% 218.76/218.87 +% 218.76/218.87 cnf(c_232041,plain,+% 218.76/218.87 ( op2(e21,e23) = op2(e23,e21)+% 218.76/218.87 | op2(e21,e23) != e21+% 218.76/218.87 | op2(e23,e21) != e21 ),+% 218.76/218.87 inference(instantiation,[status(thm)],[c_227669]) ).+% 218.76/218.87 +% 218.76/218.87 cnf(c_59531,plain,+% 218.76/218.87 ( op2(e20,e22) != X0+% 218.76/218.87 | op2(e20,e22) = op2(e20,e23)+% 218.76/218.87 | op2(e20,e23) != X0 ),+% 218.76/218.87 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.76/218.87 +% 218.76/218.87 cnf(c_60455,plain,+% 218.76/218.87 ( op2(e20,e22) != op2(X0,X1)+% 218.76/218.87 | op2(e20,e22) = op2(e20,e23)+% 218.76/218.87 | op2(e20,e23) != op2(X0,X1) ),+% 218.76/218.87 inference(instantiation,[status(thm)],[c_59531]) ).+% 218.76/218.87 +% 218.76/218.87 cnf(c_69469,plain,+% 218.76/218.87 ( op2(e20,e22) = op2(e20,e23)+% 218.76/218.87 | op2(e20,e22) != op2(e23,e21)+% 218.76/218.87 | op2(e20,e23) != op2(e23,e21) ),+% 218.76/218.87 inference(instantiation,[status(thm)],[c_60455]) ).+% 218.76/218.87 +% 218.76/218.87 cnf(c_115257,plain,+% 218.76/218.87 ( op2(e20,e23) = op2(e23,e21)+% 218.76/218.87 | op2(e20,e23) != e21+% 218.76/218.87 | op2(e23,e21) != e21 ),+% 218.76/218.87 inference(instantiation,[status(thm)],[c_62365]) ).+% 218.76/218.87 +% 218.76/218.87 cnf(c_60494,plain,+% 218.76/218.87 ( X0 != X1 | op2(e21,e23) != X1 | op2(e21,e23) = X0 ),+% 218.76/218.87 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.76/218.87 +% 218.76/218.87 cnf(c_77141,plain,+% 218.76/218.87 ( X0 != e21 | op2(e21,e23) = X0 | op2(e21,e23) != e21 ),+% 218.76/218.87 inference(instantiation,[status(thm)],[c_60494]) ).+% 218.76/218.87 +% 218.76/218.87 cnf(c_126612,plain,+% 218.76/218.87 ( op2(e21,e23) = op2(e23,e21)+% 218.76/218.87 | op2(e21,e23) != e21+% 218.76/218.87 | op2(e23,e21) != e21 ),+% 218.76/218.87 inference(instantiation,[status(thm)],[c_77141]) ).+% 218.76/218.87 +% 218.76/218.87 cnf(c_238349,plain,+% 218.76/218.87 ( op2(e21,e23) = op2(e23,e21) | op2(e23,e21) != e21 ),+% 218.76/218.87 inference(global_propositional_subsumption,+% 218.76/218.87 [status(thm)],+% 218.76/218.87 [c_232041,c_257,c_256,c_162,c_153,c_145,c_68,c_17349,+% 218.76/218.87 c_17350,c_17427,c_21159,c_22698,c_26103,c_34088,c_69469,+% 218.76/218.87 c_115257,c_126612,c_237769]) ).+% 218.76/218.87 +% 218.76/218.88 cnf(c_238931,plain,+% 218.76/218.88 ( op2(e23,e21) = op2(e20,e22) | op2(e23,e21) != e21 ),+% 218.76/218.88 inference(global_propositional_subsumption,+% 218.76/218.88 [status(thm)],+% 218.76/218.88 [c_232127,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.76/218.88 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_179,+% 218.76/218.88 c_178,c_177,c_176,c_175,c_174,c_171,c_169,c_167,c_166,+% 218.76/218.88 c_164,c_163,c_162,c_160,c_159,c_158,c_157,c_155,c_153,+% 218.76/218.88 c_152,c_90,c_89,c_88,c_87,c_86,c_85,c_77,c_71,c_68,c_67,+% 218.76/218.88 c_62,c_61,c_57,c_1839,c_1865,c_1943,c_1969,c_16905,+% 218.76/218.88 c_17254,c_17300,c_17335,c_17349,c_17350,c_17427,c_17431,+% 218.76/218.88 c_17554,c_17556,c_17558,c_17740,c_17747,c_17748,c_17760,+% 218.76/218.88 c_17770,c_17786,c_17790,c_17799,c_17800,c_17841,c_17842,+% 218.76/218.88 c_17853,c_17915,c_17931,c_17998,c_18615,c_18616,c_18617,+% 218.76/218.88 c_18984,c_18997,c_19044,c_19094,c_19246,c_19340,c_19346,+% 218.76/218.88 c_20774,c_20913,c_20955,c_21017,c_21045,c_21159,c_21422,+% 218.76/218.88 c_21762,c_22467,c_22510,c_22568,c_22593,c_23145,c_23147,+% 218.76/218.88 c_23297,c_23671,c_25031,c_25030,c_25989,c_26105,c_26103,+% 218.76/218.88 c_26603,c_26604,c_26605,c_26610,c_27237,c_27239,c_27939,+% 218.76/218.88 c_27945,c_29330,c_33333,c_33461,c_33694,c_33893,c_34088,+% 218.76/218.88 c_35201,c_36100,c_38487,c_38592,c_38580,c_38851,c_38896,+% 218.76/218.88 c_38949,c_39126,c_39778,c_40255,c_44109,c_44248,c_44601,+% 218.76/218.88 c_47912,c_49003,c_49014,c_51437,c_62013,c_63683,c_68261,+% 218.76/218.88 c_68501,c_68612,c_68690,c_68975,c_68974,c_69063,c_69096,+% 218.76/218.88 c_69349,c_74870,c_76914,c_77138,c_77143,c_95072,+% 218.76/218.88 c_102572,c_107767,c_112325,c_112444,c_112692,c_115073,+% 218.76/218.88 c_115060,c_127540,c_138057,c_138066,c_138069,c_138092,+% 218.76/218.88 c_142413,c_145078,c_148192,c_183278,c_231021,c_237769,+% 218.76/218.88 c_238349]) ).+% 218.76/218.88 +% 218.76/218.88 cnf(c_240038,plain,+% 218.76/218.88 ( op2(e22,e21) = e22 | op2(e23,e21) = e22 ),+% 218.76/218.88 inference(global_propositional_subsumption,+% 218.76/218.88 [status(thm)],+% 218.76/218.88 [c_230940,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.76/218.88 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_184,+% 218.76/218.88 c_183,c_180,c_179,c_178,c_176,c_175,c_174,c_171,c_168,+% 218.76/218.88 c_167,c_166,c_164,c_163,c_162,c_160,c_159,c_158,c_155,+% 218.76/218.88 c_153,c_151,c_146,c_145,c_144,c_95,c_90,c_89,c_88,c_87,+% 218.76/218.88 c_77,c_75,c_71,c_68,c_67,c_64,c_62,c_61,c_57,c_50,c_48,+% 218.76/218.88 c_1865,c_1891,c_1969,c_16905,c_17253,c_17254,c_17261,+% 218.76/218.88 c_17300,c_17349,c_17350,c_17427,c_17431,c_17474,c_17476,+% 218.76/218.88 c_17539,c_17554,c_17556,c_17740,c_17760,c_17770,c_17786,+% 218.76/218.88 c_17790,c_17797,c_17799,c_17800,c_17816,c_17834,c_17835,+% 218.76/218.88 c_17853,c_17931,c_17957,c_18615,c_18616,c_18617,c_18654,+% 218.76/218.88 c_18652,c_18656,c_18984,c_18997,c_19094,c_19092,c_19246,+% 218.76/218.88 c_19335,c_19346,c_19400,c_19399,c_20774,c_20804,c_20913,+% 218.76/218.88 c_20955,c_21017,c_21159,c_21422,c_21762,c_22081,c_22510,+% 218.76/218.88 c_22568,c_22593,c_22698,c_22697,c_23145,c_23147,c_23297,+% 218.76/218.88 c_23671,c_24686,c_25031,c_25989,c_26105,c_26103,c_26603,+% 218.76/218.88 c_26605,c_26610,c_27237,c_27238,c_27239,c_27939,c_27945,+% 218.76/218.88 c_29109,c_29330,c_33231,c_33461,c_33694,c_33893,c_34079,+% 218.76/218.88 c_34088,c_35201,c_36100,c_38296,c_38592,c_38580,c_38851,+% 218.76/218.88 c_38896,c_38949,c_39126,c_39778,c_40255,c_40588,c_40665,+% 218.76/218.88 c_44248,c_44601,c_44653,c_44675,c_44824,c_48118,c_49003,+% 218.76/218.88 c_51437,c_62013,c_63683,c_68501,c_68690,c_68975,c_68974,+% 218.76/218.88 c_69063,c_69342,c_69423,c_69667,c_71340,c_74870,c_76914,+% 218.76/218.88 c_77143,c_90234,c_90241,c_95072,c_99363,c_102572,+% 218.76/218.88 c_107767,c_107924,c_112325,c_112444,c_112554,c_115073,+% 218.76/218.88 c_115060,c_138039,c_138045,c_138057,c_138069,c_138084,+% 218.76/218.88 c_138092,c_149258,c_149600,c_159160,c_159167,c_225131,+% 218.76/218.88 c_225198,c_234170,c_239000]) ).+% 218.76/218.88 +% 218.76/218.89 cnf(c_240050,plain,+% 218.76/218.89 ( op2(e21,e22) = e22 | op2(e21,e23) = e22 ),+% 218.76/218.89 inference(global_propositional_subsumption,+% 218.76/218.89 [status(thm)],+% 218.76/218.89 [c_231075,c_257,c_256,c_255,c_203,c_202,c_200,c_199,+% 218.76/218.89 c_198,c_191,c_187,c_179,c_166,c_155,c_153,c_151,c_146,+% 218.76/218.89 c_144,c_90,c_88,c_77,c_74,c_16905,c_17300,c_17349,+% 218.76/218.89 c_17350,c_17427,c_17431,c_17539,c_17554,c_17740,c_17816,+% 218.76/218.89 c_18617,c_18943,c_19346,c_19400,c_21159,c_21422,c_22510,+% 218.76/218.89 c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,+% 218.76/218.89 c_34088,c_36100,c_38345,c_38580,c_38896,c_39778,c_44595,+% 218.76/218.89 c_44824,c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,+% 218.76/218.89 c_90234,c_95072,c_102572,c_107924,c_112325,c_112575,+% 218.76/218.89 c_149258,c_165269,c_178764,c_230728,c_230895,c_240038]) ).+% 218.76/218.89 +% 218.76/218.89 cnf(c_242505,plain,+% 218.76/218.89 ( op2(e23,e22) != e22 ),+% 218.76/218.89 inference(global_propositional_subsumption,+% 218.76/218.89 [status(thm)],+% 218.76/218.89 [c_241832,c_245,c_202,c_198,c_175,c_170,c_17427,c_17740,+% 218.76/218.89 c_18971,c_28198,c_44781,c_45778,c_68875,c_90241,+% 218.76/218.89 c_108004,c_112575,c_239027,c_240050]) ).+% 218.76/218.89 +% 218.76/218.89 cnf(c_230737,plain,+% 218.76/218.89 ( X0 = op2(e23,e20)+% 218.76/218.89 | X0 != e22+% 218.76/218.89 | op2(e23,e21) = e22+% 218.76/218.89 | op2(e23,e22) = e22+% 218.76/218.89 | op2(e23,e23) = e22 ),+% 218.76/218.89 inference(resolution,[status(thm)],[c_67,c_16532]) ).+% 218.76/218.89 +% 218.76/218.89 cnf(c_242517,plain,+% 218.76/218.89 ( X0 = op2(e23,e20)+% 218.76/218.89 | X0 != e22+% 218.76/218.89 | op2(e23,e21) = e22+% 218.76/218.89 | op2(e23,e23) = e22 ),+% 218.76/218.89 inference(backward_subsumption_resolution,+% 218.76/218.89 [status(thm)],+% 218.76/218.89 [c_242505,c_230737]) ).+% 218.76/218.89 +% 218.76/218.89 cnf(c_17487,plain,+% 218.76/218.89 ( e20 = e20 ),+% 218.76/218.89 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.76/218.89 +% 218.76/218.89 cnf(c_17488,plain,+% 218.76/218.89 ( X0 != X1 | e20 != X1 | e20 = X0 ),+% 218.76/218.89 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.76/218.89 +% 218.76/218.89 cnf(c_19588,plain,+% 218.76/218.89 ( X0 != e20 | e20 = X0 | e20 != e20 ),+% 218.76/218.89 inference(instantiation,[status(thm)],[c_17488]) ).+% 218.76/218.89 +% 218.76/218.89 cnf(c_64912,plain,+% 218.76/218.89 ( X0 != X1 | X0 = h1(e10) | h1(e10) != X1 ),+% 218.76/218.89 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.76/218.89 +% 218.76/218.89 cnf(c_101529,plain,+% 218.76/218.89 ( X0 != op2(e20,e20) | X0 = h1(e10) | h1(e10) != op2(e20,e20) ),+% 218.76/218.89 inference(instantiation,[status(thm)],[c_64912]) ).+% 218.76/218.89 +% 218.76/218.89 cnf(c_63141,plain,+% 218.76/218.89 ( X0 != X1 | X0 = op2(e23,e20) | op2(e23,e20) != X1 ),+% 218.76/218.89 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.76/218.89 +% 218.76/218.89 cnf(c_107913,plain,+% 218.76/218.89 ( X0 = op2(e23,e20) | X0 != e22 | op2(e23,e20) != e22 ),+% 218.76/218.89 inference(instantiation,[status(thm)],[c_63141]) ).+% 218.76/218.89 +% 218.76/218.89 cnf(c_138256,plain,+% 218.76/218.89 ( e20 != X0 | e20 = e22 | e22 != X0 ),+% 218.76/218.89 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.76/218.89 +% 218.76/218.90 cnf(c_139307,plain,+% 218.76/218.90 ( e20 != X0 | e22 != X0 ),+% 218.76/218.90 inference(global_propositional_subsumption,+% 218.76/218.90 [status(thm)],+% 218.76/218.90 [c_138256,c_202,c_16753]) ).+% 218.76/218.90 +% 218.76/218.90 cnf(c_139313,plain,+% 218.76/218.90 ( e20 != op2(e20,e20) | e22 != op2(e20,e20) ),+% 218.76/218.90 inference(instantiation,[status(thm)],[c_139307]) ).+% 218.76/218.90 +% 218.76/218.90 cnf(c_164544,plain,+% 218.76/218.90 ( op2(e23,e20) = op2(e23,op2(e20,e23)) | e20 != op2(e20,e23) ),+% 218.76/218.90 inference(instantiation,[status(thm)],[c_164536]) ).+% 218.76/218.90 +% 218.76/218.90 cnf(c_230333,plain,+% 218.76/218.90 ( op2(e23,e20) = e22 | e20 = op2(e23,e20) ),+% 218.76/218.90 inference(global_propositional_subsumption,+% 218.76/218.90 [status(thm)],+% 218.76/218.90 [c_51,c_257,c_256,c_255,c_187,c_186,c_16905,c_17300,+% 218.76/218.90 c_17427,c_17431,c_18617,c_20866,c_21159,c_26104,c_26610,+% 218.76/218.90 c_27945,c_38896,c_51437,c_95072,c_102572]) ).+% 218.76/218.90 +% 218.76/218.90 cnf(c_230402,plain,+% 218.76/218.90 ( X0 = op2(e23,e20) | X0 != e22 | e20 = op2(e23,e20) ),+% 218.76/218.90 inference(resolution,[status(thm)],[c_230333,c_16532]) ).+% 218.76/218.90 +% 218.76/218.90 cnf(c_231005,plain,+% 218.76/218.90 ( X0 != e23 | h4(e12) = X0 ),+% 218.76/218.90 inference(resolution,[status(thm)],[c_224973,c_16531]) ).+% 218.76/218.90 +% 218.76/218.90 cnf(c_231055,plain,+% 218.76/218.90 ( h4(e12) = e22 | h3(e12) != e23 ),+% 218.76/218.90 inference(resolution,[status(thm)],[c_231005,c_224706]) ).+% 218.76/218.90 +% 218.76/218.90 cnf(c_16785,plain,+% 218.76/218.90 ( h3(e12) != X0 | e23 != X0 | e23 = h3(e12) ),+% 218.76/218.90 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.76/218.90 +% 218.76/218.90 cnf(c_17362,plain,+% 218.76/218.90 ( h3(e12) != e23 | e23 = h3(e12) | e23 != e23 ),+% 218.76/218.90 inference(instantiation,[status(thm)],[c_16785]) ).+% 218.76/218.90 +% 218.76/218.90 cnf(c_17425,plain,+% 218.76/218.90 ( e22 != h3(e12) | e22 = e23 | e23 != h3(e12) ),+% 218.76/218.90 inference(instantiation,[status(thm)],[c_16745]) ).+% 218.76/218.90 +% 218.76/218.91 cnf(c_231131,plain,+% 218.76/218.91 ( h3(e12) != e23 ),+% 218.76/218.91 inference(global_propositional_subsumption,+% 218.76/218.91 [status(thm)],+% 218.76/218.91 [c_231055,c_269,c_198,c_16905,c_17362,c_17425]) ).+% 218.76/218.91 +% 218.76/218.91 cnf(c_81,plain,+% 218.76/218.91 ( op2(e21,e20) = e23+% 218.76/218.91 | op2(e21,e21) = e23+% 218.76/218.91 | op2(e21,e22) = e23+% 218.76/218.91 | op2(e21,e23) = e23 ),+% 218.76/218.91 inference(cnf_transformation,[],[f138]) ).+% 218.76/218.91 +% 218.76/218.91 cnf(c_230936,plain,+% 218.76/218.91 ( op2(e21,e20) = e23 ),+% 218.76/218.91 inference(global_propositional_subsumption,+% 218.76/218.91 [status(thm)],+% 218.76/218.91 [c_81,c_257,c_256,c_255,c_203,c_199,c_191,c_187,c_155,+% 218.76/218.91 c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,+% 218.76/218.91 c_17431,c_17554,c_18617,c_19346,c_21159,c_21422,c_26105,+% 218.76/218.91 c_26103,c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,+% 218.76/218.91 c_38580,c_38896,c_39778,c_51437,c_68975,c_95072,+% 218.76/218.91 c_102572]) ).+% 218.76/218.91 +% 218.76/218.91 cnf(c_231020,plain,+% 218.76/218.91 ( e23 = op2(e21,e20) ),+% 218.76/218.91 inference(resolution,[status(thm)],[c_231004,c_230936]) ).+% 218.76/218.91 +% 218.76/218.91 cnf(c_231033,plain,+% 218.76/218.91 ( X0 != op2(e21,e20) | X0 = e23 ),+% 218.76/218.91 inference(resolution,[status(thm)],[c_231020,c_16532]) ).+% 218.76/218.91 +% 218.76/218.91 cnf(c_230648,plain,+% 218.76/218.91 ( X0 != e22 | h3(e12) = X0 ),+% 218.76/218.91 inference(resolution,[status(thm)],[c_224962,c_16531]) ).+% 218.76/218.91 +% 218.76/218.91 cnf(c_231119,plain,+% 218.76/218.91 ( op2(e21,e20) != e22 | h3(e12) = e23 ),+% 218.76/218.91 inference(resolution,[status(thm)],[c_231033,c_230648]) ).+% 218.76/218.91 +% 218.76/218.91 cnf(c_231137,plain,+% 218.76/218.91 ( op2(e21,e20) != e22 ),+% 218.76/218.91 inference(backward_subsumption_resolution,+% 218.76/218.91 [status(thm)],+% 218.76/218.91 [c_231131,c_231119]) ).+% 218.76/218.91 +% 218.76/218.91 cnf(c_55,plain,+% 218.76/218.91 ( op2(e22,e20) = e21+% 218.76/218.91 | op2(e22,e20) = e22+% 218.76/218.91 | op2(e22,e20) = e23+% 218.76/218.91 | e20 = op2(e22,e20) ),+% 218.76/218.91 inference(cnf_transformation,[],[f116]) ).+% 218.76/218.91 +% 218.76/218.92 cnf(c_230351,plain,+% 218.76/218.92 ( op2(e22,e20) = e21 ),+% 218.76/218.92 inference(global_propositional_subsumption,+% 218.76/218.92 [status(thm)],+% 218.76/218.92 [c_55,c_257,c_256,c_203,c_155,c_153,c_77,c_17349,c_17350,+% 218.76/218.92 c_17427,c_17431,c_17554,c_21159,c_21422,c_26105,c_26103,+% 218.76/218.92 c_34088,c_36100]) ).+% 218.76/218.92 +% 218.76/218.92 cnf(c_230358,plain,+% 218.76/218.92 ( e21 = op2(e22,e20) ),+% 218.76/218.92 inference(resolution,[status(thm)],[c_230351,c_230241]) ).+% 218.76/218.92 +% 218.76/218.92 cnf(c_230361,plain,+% 218.76/218.92 ( X0 != op2(e22,e20) | X0 = e21 ),+% 218.76/218.92 inference(resolution,[status(thm)],[c_230358,c_16532]) ).+% 218.76/218.92 +% 218.76/218.92 cnf(c_230688,plain,+% 218.76/218.92 ( op2(e22,e20) != e22 | h3(e12) = e21 ),+% 218.76/218.92 inference(resolution,[status(thm)],[c_230648,c_230361]) ).+% 218.76/218.92 +% 218.82/218.92 cnf(c_230856,plain,+% 218.82/218.92 ( op2(e22,e20) != e22 ),+% 218.82/218.92 inference(global_propositional_subsumption,+% 218.82/218.92 [status(thm)],+% 218.82/218.92 [c_230688,c_257,c_256,c_203,c_200,c_155,c_153,c_77,+% 218.82/218.92 c_17349,c_17350,c_17427,c_17431,c_17554,c_21159,c_21422,+% 218.82/218.92 c_26105,c_26103,c_26603,c_34088,c_36100,c_49003,c_68974]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_230862,plain,+% 218.82/218.92 ( op2(e20,e20) = e22 | op2(e21,e20) = e22 | op2(e23,e20) = e22 ),+% 218.82/218.92 inference(backward_subsumption_resolution,+% 218.82/218.92 [status(thm)],+% 218.82/218.92 [c_230856,c_90]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_231141,plain,+% 218.82/218.92 ( op2(e20,e20) = e22 | op2(e23,e20) = e22 ),+% 218.82/218.92 inference(backward_subsumption_resolution,+% 218.82/218.92 [status(thm)],+% 218.82/218.92 [c_231137,c_230862]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_239084,plain,+% 218.82/218.92 ( X0 = op2(e20,e20) | X0 != e22 | op2(e23,e20) = e22 ),+% 218.82/218.92 inference(resolution,[status(thm)],[c_231141,c_16532]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_239085,plain,+% 218.82/218.92 ( op2(e23,e20) = e22 | e22 = op2(e20,e20) ),+% 218.82/218.92 inference(resolution,[status(thm)],[c_231141,c_230647]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_239117,plain,+% 218.82/218.92 ( X0 = op2(e23,e20) | X0 != e22 | e22 = op2(e20,e20) ),+% 218.82/218.92 inference(resolution,[status(thm)],[c_239085,c_16532]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_224694,plain,+% 218.82/218.92 ( X0 = op2(e20,e20) | X0 != h1(e10) ),+% 218.82/218.92 inference(resolution,[status(thm)],[c_16532,c_260]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_240278,plain,+% 218.82/218.92 ( X0 = op2(X1,X2) | X0 != h1(e10) | X1 != e20 | X2 != e20 ),+% 218.82/218.92 inference(resolution,[status(thm)],[c_224826,c_224694]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_251,plain,+% 218.82/218.92 ( sP3 | sP4 | sP5 | e20 = op2(e20,op2(e23,e20)) ),+% 218.82/218.92 inference(cnf_transformation,[],[f308]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_224631,plain,+% 218.82/218.92 ( sP3 | e20 = op2(e20,op2(e23,e20)) ),+% 218.82/218.92 inference(global_propositional_subsumption,+% 218.82/218.92 [status(thm)],+% 218.82/218.92 [c_251,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,+% 218.82/218.92 c_200,c_199,c_191,c_188,c_187,c_176,c_155,c_153,c_88,+% 218.82/218.92 c_87,c_77,c_16905,c_17300,c_17349,c_17350,c_17427,+% 218.82/218.92 c_17431,c_17554,c_17740,c_18617,c_18997,c_19346,c_20955,+% 218.82/218.92 c_21017,c_21159,c_21422,c_21762,c_22510,c_23671,c_26105,+% 218.82/218.92 c_26103,c_26603,c_26610,c_27237,c_27945,c_33461,c_33893,+% 218.82/218.92 c_34088,c_36100,c_38592,c_38580,c_38896,c_38949,c_39778,+% 218.82/218.92 c_44248,c_51437,c_68501,c_68975,c_95072,c_102572,+% 218.82/218.92 c_107767]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_224685,plain,+% 218.82/218.92 ( sP3 | X0 != op2(e20,op2(e23,e20)) | X0 = e20 ),+% 218.82/218.92 inference(resolution,[status(thm)],[c_16532,c_224631]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_254460,plain,+% 218.82/218.92 ( sP3+% 218.82/218.92 | X0 != h1(e10)+% 218.82/218.92 | X0 = e20+% 218.82/218.92 | op2(e23,e20) != e20+% 218.82/218.92 | e20 != e20 ),+% 218.82/218.92 inference(resolution,[status(thm)],[c_240278,c_224685]) ).+% 218.82/218.92 +% 218.82/218.92 cnf(c_254461,plain,+% 218.82/218.92 ( sP3 | X0 != h1(e10) | X0 = e20 | op2(e23,e20) != e20 ),+% 218.82/218.92 inference(equality_resolution_simp,[status(thm)],[c_254460]) ).+% 218.82/218.92 +% 218.82/218.93 cnf(c_255240,plain,+% 218.82/218.93 ( X0 = op2(e23,e20) | X0 != e22 ),+% 218.82/218.93 inference(global_propositional_subsumption,+% 218.82/218.93 [status(thm)],+% 218.82/218.93 [c_242517,c_260,c_257,c_256,c_255,c_246,c_244,c_203,+% 218.82/218.93 c_202,c_188,c_187,c_178,c_155,c_153,c_95,c_77,c_16753,+% 218.82/218.93 c_16905,c_17276,c_17300,c_17349,c_17350,c_17427,c_17431,+% 218.82/218.93 c_17487,c_17554,c_17790,c_18617,c_19246,c_19588,c_21017,+% 218.82/218.93 c_21159,c_21422,c_22582,c_23192,c_26105,c_26103,c_26610,+% 218.82/218.93 c_27238,c_27945,c_33694,c_34088,c_36100,c_38896,c_39126,+% 218.82/218.93 c_48118,c_51437,c_59360,c_63683,c_69342,c_95072,+% 218.82/218.93 c_101529,c_102572,c_107913,c_139313,c_142398,c_164544,+% 218.82/218.93 c_230402,c_239084,c_239117,c_254461]) ).+% 218.82/218.93 +% 218.82/218.93 cnf(c_255252,plain,+% 218.82/218.93 ( op2(e20,e20) != e22 ),+% 218.82/218.93 inference(resolution,[status(thm)],[c_255240,c_189]) ).+% 218.82/218.93 +% 218.82/218.93 cnf(c_352317,plain,+% 218.82/218.93 ( X0 != X1+% 218.82/218.93 | op2(h3(e13),h3(e13)) != X1+% 218.82/218.93 | op2(h3(e13),h3(e13)) = X0 ),+% 218.82/218.93 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.82/218.93 +% 218.82/218.93 cnf(c_353740,plain,+% 218.82/218.93 ( X0 != op2(h3(e13),h3(e13))+% 218.82/218.93 | op2(h3(e13),h3(e13)) = X0+% 218.82/218.93 | op2(h3(e13),h3(e13)) != op2(h3(e13),h3(e13)) ),+% 218.82/218.93 inference(instantiation,[status(thm)],[c_352317]) ).+% 218.82/218.93 +% 218.82/218.93 cnf(c_227347,plain,+% 218.82/218.93 ( op2(h3(e13),h3(e13)) = op2(h3(e13),h3(e13)) ),+% 218.82/218.93 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.82/218.93 +% 218.82/218.93 cnf(c_227349,plain,+% 218.82/218.93 ( X0 != X1+% 218.82/218.93 | op2(h3(e13),h3(e13)) != X1+% 218.82/218.93 | op2(h3(e13),h3(e13)) = X0 ),+% 218.82/218.93 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.82/218.93 +% 218.82/218.93 cnf(c_228946,plain,+% 218.82/218.93 ( X0 != op2(h3(e13),h3(e13))+% 218.82/218.93 | op2(h3(e13),h3(e13)) = X0+% 218.82/218.93 | op2(h3(e13),h3(e13)) != op2(h3(e13),h3(e13)) ),+% 218.82/218.93 inference(instantiation,[status(thm)],[c_227349]) ).+% 218.82/218.93 +% 218.82/218.94 cnf(c_359610,plain,+% 218.82/218.94 ( op2(h3(e13),h3(e13)) = X0 | X0 != op2(h3(e13),h3(e13)) ),+% 218.82/218.94 inference(global_propositional_subsumption,+% 218.82/218.94 [status(thm)],+% 218.82/218.94 [c_353740,c_227347,c_228946]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_359611,plain,+% 218.82/218.94 ( X0 != op2(h3(e13),h3(e13)) | op2(h3(e13),h3(e13)) = X0 ),+% 218.82/218.94 inference(renaming,[status(thm)],[c_359610]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_359614,plain,+% 218.82/218.94 ( op2(X0,X1) != op2(h3(e13),h3(e13))+% 218.82/218.94 | op2(h3(e13),h3(e13)) = op2(X0,X1) ),+% 218.82/218.94 inference(instantiation,[status(thm)],[c_359611]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_579093,plain,+% 218.82/218.94 ( op2(h3(e13),h3(e13)) = op2(e23,e23)+% 218.82/218.94 | op2(e23,e23) != op2(h3(e13),h3(e13)) ),+% 218.82/218.94 inference(instantiation,[status(thm)],[c_359614]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_351654,plain,+% 218.82/218.94 ( X0 != X1 | e20 != X1 | e20 = X0 ),+% 218.82/218.94 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_353749,plain,+% 218.82/218.94 ( X0 != op2(e23,e23) | e20 = X0 | e20 != op2(e23,e23) ),+% 218.82/218.94 inference(instantiation,[status(thm)],[c_351654]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_19551,plain,+% 218.82/218.94 ( X0 != op2(e23,e23) | e20 = X0 | e20 != op2(e23,e23) ),+% 218.82/218.94 inference(instantiation,[status(thm)],[c_17488]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_138276,plain,+% 218.82/218.94 ( h1(e12) != X0 | e22 != X0 | e22 = h1(e12) ),+% 218.82/218.94 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_261,plain,+% 218.82/218.94 ( e20 = h1(e12) ),+% 218.82/218.94 inference(cnf_transformation,[],[f318]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_17546,plain,+% 218.82/218.94 ( e20 != h1(e12) | e20 = e22 | e22 != h1(e12) ),+% 218.82/218.94 inference(instantiation,[status(thm)],[c_16753]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_139867,plain,+% 218.82/218.94 ( e22 != X0 | h1(e12) != X0 ),+% 218.82/218.94 inference(global_propositional_subsumption,+% 218.82/218.94 [status(thm)],+% 218.82/218.94 [c_138276,c_261,c_202,c_17546]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_139868,plain,+% 218.82/218.94 ( h1(e12) != X0 | e22 != X0 ),+% 218.82/218.94 inference(renaming,[status(thm)],[c_139867]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_140339,plain,+% 218.82/218.94 ( h1(e12) != e22 | e22 != e22 ),+% 218.82/218.94 inference(instantiation,[status(thm)],[c_139868]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_224695,plain,+% 218.82/218.94 ( X0 != h1(e12) | X0 = e20 ),+% 218.82/218.94 inference(resolution,[status(thm)],[c_16532,c_261]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_224848,plain,+% 218.82/218.94 ( h1(e12) = e20 ),+% 218.82/218.94 inference(resolution,[status(thm)],[c_224695,c_16531]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_224852,plain,+% 218.82/218.94 ( X0 = h1(e12) | X0 != e20 ),+% 218.82/218.94 inference(resolution,[status(thm)],[c_224848,c_16532]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_224895,plain,+% 218.82/218.94 ( X0 = X1 | X0 != h1(e12) | X1 != e20 ),+% 218.82/218.94 inference(resolution,[status(thm)],[c_224852,c_16532]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_230076,plain,+% 218.82/218.94 ( X0 != e20 | h1(e12) = X0 ),+% 218.82/218.94 inference(resolution,[status(thm)],[c_224895,c_16531]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_230143,plain,+% 218.82/218.94 ( h3(e12) != e20 | h1(e12) = e22 ),+% 218.82/218.94 inference(resolution,[status(thm)],[c_230076,c_224706]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_58,plain,+% 218.82/218.94 ( op2(e21,e21) = e21+% 218.82/218.94 | op2(e21,e21) = e22+% 218.82/218.94 | op2(e21,e21) = e23+% 218.82/218.94 | e20 = op2(e21,e21) ),+% 218.82/218.94 inference(cnf_transformation,[],[f113]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_61528,plain,+% 218.82/218.94 ( op2(e21,e20) = op2(X0,op2(e20,e20))+% 218.82/218.94 | e20 != op2(e20,e20)+% 218.82/218.94 | e21 != X0 ),+% 218.82/218.94 inference(instantiation,[status(thm)],[c_60439]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_68998,plain,+% 218.82/218.94 ( op2(e21,e20) = op2(op2(e21,e21),op2(e20,e20))+% 218.82/218.94 | e20 != op2(e20,e20)+% 218.82/218.94 | e21 != op2(e21,e21) ),+% 218.82/218.94 inference(instantiation,[status(thm)],[c_61528]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_94,plain,+% 218.82/218.94 ( e20 = op2(e20,e20)+% 218.82/218.94 | e20 = op2(e21,e20)+% 218.82/218.94 | e20 = op2(e22,e20)+% 218.82/218.94 | e20 = op2(e23,e20) ),+% 218.82/218.94 inference(cnf_transformation,[],[f125]) ).+% 218.82/218.94 +% 218.82/218.94 cnf(c_18950,plain,+% 218.82/218.94 ( e20 != op2(e22,e20) | e20 = e21 | e21 != op2(e22,e20) ),+% 218.82/218.94 inference(instantiation,[status(thm)],[c_16755]) ).+% 218.82/218.94 +% 218.82/218.95 cnf(c_138108,plain,+% 218.82/218.95 ( e20 = op2(e20,e20) | e20 = op2(e23,e20) ),+% 218.82/218.95 inference(global_propositional_subsumption,+% 218.82/218.95 [status(thm)],+% 218.82/218.95 [c_94,c_257,c_256,c_255,c_203,c_201,c_199,c_191,c_187,+% 218.82/218.95 c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,+% 218.82/218.95 c_17427,c_17431,c_17554,c_18617,c_18950,c_18997,c_19346,+% 218.82/218.95 c_21159,c_21422,c_22510,c_26105,c_26103,c_26603,c_26610,+% 218.82/218.95 c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,+% 218.82/218.95 c_51437,c_68975,c_95072,c_102572]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_139530,plain,+% 218.82/218.95 ( op2(e20,e20) = op2(X0,X1) | e20 != X0 | e20 != X1 ),+% 218.82/218.95 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_141494,plain,+% 218.82/218.95 ( op2(e20,e20) = op2(op2(e21,e21),X0)+% 218.82/218.95 | e20 != X0+% 218.82/218.95 | e20 != op2(e21,e21) ),+% 218.82/218.95 inference(instantiation,[status(thm)],[c_139530]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_146532,plain,+% 218.82/218.95 ( op2(e20,e20) = op2(op2(e21,e21),op2(e20,e20))+% 218.82/218.95 | e20 != op2(e20,e20)+% 218.82/218.95 | e20 != op2(e21,e21) ),+% 218.82/218.95 inference(instantiation,[status(thm)],[c_141494]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_30580,plain,+% 218.82/218.95 ( op2(e20,e20) = op2(X0,X1) | e20 != X0 | e20 != X1 ),+% 218.82/218.95 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_32005,plain,+% 218.82/218.95 ( op2(e20,e20) = op2(op2(e21,e21),X0)+% 218.82/218.95 | e20 != X0+% 218.82/218.95 | e20 != op2(e21,e21) ),+% 218.82/218.95 inference(instantiation,[status(thm)],[c_30580]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_40564,plain,+% 218.82/218.95 ( op2(e20,e20) = op2(op2(e21,e21),op2(e20,e20))+% 218.82/218.95 | e20 != op2(e20,e20)+% 218.82/218.95 | e20 != op2(e21,e21) ),+% 218.82/218.95 inference(instantiation,[status(thm)],[c_32005]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_157763,plain,+% 218.82/218.95 ( e20 != op2(e20,e20)+% 218.82/218.95 | op2(e20,e20) = op2(op2(e21,e21),op2(e20,e20)) ),+% 218.82/218.95 inference(global_propositional_subsumption,+% 218.82/218.95 [status(thm)],+% 218.82/218.95 [c_146532,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 218.82/218.95 c_202,c_201,c_200,c_199,c_198,c_191,c_189,c_188,c_187,+% 218.82/218.95 c_184,c_179,c_178,c_176,c_174,c_167,c_166,c_155,c_153,+% 218.82/218.95 c_152,c_91,c_90,c_88,c_87,c_86,c_77,c_71,c_61,c_1852,+% 218.82/218.95 c_1956,c_16905,c_17254,c_17276,c_17300,c_17335,c_17349,+% 218.82/218.95 c_17350,c_17427,c_17431,c_17544,c_17554,c_17740,c_17790,+% 218.82/218.95 c_17800,c_17816,c_18616,c_18617,c_18997,c_19340,c_19346,+% 218.82/218.95 c_19400,c_19398,c_20774,c_20913,c_20955,c_21017,c_21045,+% 218.82/218.95 c_21159,c_21422,c_21762,c_22510,c_22582,c_23147,c_23671,+% 218.82/218.95 c_25036,c_25034,c_25989,c_26105,c_26103,c_26603,c_26610,+% 218.82/218.95 c_27237,c_27239,c_27939,c_27945,c_28198,c_28292,c_33461,+% 218.82/218.95 c_33694,c_33768,c_33893,c_34075,c_34088,c_36100,c_38592,+% 218.82/218.95 c_38580,c_38851,c_38896,c_38949,c_39126,c_39366,c_39778,+% 218.82/218.95 c_40564,c_44248,c_44653,c_45778,c_49003,c_51437,c_68261,+% 218.82/218.95 c_68501,c_68875,c_68975,c_68974,c_69423,c_71340,c_76914,+% 218.82/218.95 c_88489,c_88488,c_95072,c_99363,c_102572,c_107767,+% 218.82/218.95 c_107924,c_112325,c_131061,c_149072,c_149258,c_149600,+% 218.82/218.95 c_155876]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_157764,plain,+% 218.82/218.95 ( op2(e20,e20) = op2(op2(e21,e21),op2(e20,e20))+% 218.82/218.95 | e20 != op2(e20,e20) ),+% 218.82/218.95 inference(renaming,[status(thm)],[c_157763]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_138245,plain,+% 218.82/218.95 ( op2(e20,e20) != X0+% 218.82/218.95 | op2(e20,e20) = op2(e21,e20)+% 218.82/218.95 | op2(e21,e20) != X0 ),+% 218.82/218.95 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_16736,plain,+% 218.82/218.95 ( op2(e20,e20) != X0+% 218.82/218.95 | op2(e20,e20) = op2(e21,e20)+% 218.82/218.95 | op2(e21,e20) != X0 ),+% 218.82/218.95 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_139782,plain,+% 218.82/218.95 ( op2(e20,e20) != X0 | op2(e21,e20) != X0 ),+% 218.82/218.95 inference(global_propositional_subsumption,+% 218.82/218.95 [status(thm)],+% 218.82/218.95 [c_138245,c_191,c_16736]) ).+% 218.82/218.95 +% 218.82/218.95 cnf(c_157766,plain,+% 218.82/218.95 ( op2(e20,e20) != op2(op2(e21,e21),op2(e20,e20))+% 218.82/218.95 | op2(e21,e20) != op2(op2(e21,e21),op2(e20,e20)) ),+% 218.82/218.95 inference(instantiation,[status(thm)],[c_139782]) ).+% 218.82/218.95 +% 218.82/218.96 cnf(c_225162,plain,+% 218.82/218.96 ( e20 = op2(e23,e20) | e20 = op2(e23,e23) ),+% 218.82/218.96 inference(global_propositional_subsumption,+% 218.82/218.96 [status(thm)],+% 218.82/218.96 [c_71,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,+% 218.82/218.96 c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,+% 218.82/218.96 c_176,c_174,c_166,c_164,c_155,c_153,c_95,c_90,c_88,c_87,+% 218.82/218.96 c_77,c_61,c_1865,c_16905,c_17254,c_17261,c_17300,+% 218.82/218.96 c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,c_17740,+% 218.82/218.96 c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,c_19094,+% 218.82/218.96 c_19246,c_19335,c_19346,c_19400,c_20774,c_20804,c_20955,+% 218.82/218.96 c_21017,c_21159,c_21422,c_21762,c_22510,c_23147,c_23671,+% 218.82/218.96 c_25989,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,+% 218.82/218.96 c_27939,c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,+% 218.82/218.96 c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,+% 218.82/218.96 c_39126,c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,+% 218.82/218.96 c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,+% 218.82/218.96 c_99363,c_102572,c_107767,c_107924,c_112325,c_115073,+% 218.82/218.96 c_138084,c_149258,c_149600,c_159160,c_159167]) ).+% 218.82/218.96 +% 218.86/218.97 cnf(c_230824,plain,+% 218.86/218.97 ( e20 = op2(e23,e20) | e20 = op2(e23,e23) ),+% 218.86/218.97 inference(global_propositional_subsumption,+% 218.86/218.97 [status(thm)],+% 218.86/218.97 [c_71,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,+% 218.86/218.97 c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,+% 218.86/218.97 c_176,c_174,c_166,c_164,c_155,c_153,c_95,c_90,c_88,c_87,+% 218.86/218.97 c_77,c_61,c_1865,c_16905,c_17254,c_17261,c_17300,+% 218.86/218.97 c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,c_17740,+% 218.86/218.97 c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,c_19094,+% 218.86/218.97 c_19246,c_19335,c_19346,c_19400,c_20774,c_20804,c_20955,+% 218.86/218.97 c_21017,c_21159,c_21422,c_21762,c_22510,c_23147,c_23671,+% 218.86/218.97 c_25989,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,+% 218.86/218.97 c_27939,c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,+% 218.86/218.97 c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,+% 218.86/218.97 c_39126,c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,+% 218.86/218.97 c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,+% 218.86/218.97 c_99363,c_102572,c_107767,c_107924,c_112325,c_115073,+% 218.86/218.97 c_138084,c_149258,c_149600,c_159160,c_159167]) ).+% 218.86/218.97 +% 218.86/218.97 cnf(c_230867,plain,+% 218.86/218.97 ( X0 != op2(e23,e20) | X0 = e20 | e20 = op2(e23,e23) ),+% 218.86/218.97 inference(resolution,[status(thm)],[c_230824,c_16532]) ).+% 218.86/218.97 +% 218.86/218.97 cnf(c_242620,plain,+% 218.86/218.97 ( op2(e23,e20) != e22 | h3(e12) = e20 | e20 = op2(e23,e23) ),+% 218.86/218.97 inference(resolution,[status(thm)],[c_230867,c_230648]) ).+% 218.86/218.97 +% 218.86/218.97 cnf(c_358912,plain,+% 218.86/218.97 ( e20 = X0 | X0 != op2(e23,e23) ),+% 218.86/218.97 inference(global_propositional_subsumption,+% 218.86/218.97 [status(thm)],+% 218.86/218.97 [c_353749,c_257,c_256,c_255,c_203,c_200,c_199,c_198,+% 218.86/218.97 c_191,c_187,c_155,c_153,c_90,c_88,c_77,c_16905,c_17300,+% 218.86/218.97 c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,c_19346,+% 218.86/218.97 c_19551,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,+% 218.86/218.97 c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,+% 218.86/218.97 c_38896,c_39778,c_49003,c_51437,c_68975,c_68974,c_95072,+% 218.86/218.97 c_102572,c_112325,c_140339,c_230143,c_242620,c_255252]) ).+% 218.86/218.97 +% 218.86/218.97 cnf(c_358913,plain,+% 218.86/218.97 ( X0 != op2(e23,e23) | e20 = X0 ),+% 218.86/218.97 inference(renaming,[status(thm)],[c_358912]) ).+% 218.86/218.97 +% 218.86/218.97 cnf(c_358918,plain,+% 218.86/218.97 ( op2(X0,X1) != op2(e23,e23) | e20 = op2(X0,X1) ),+% 218.86/218.97 inference(instantiation,[status(thm)],[c_358913]) ).+% 218.86/218.97 +% 218.86/218.97 cnf(c_589274,plain,+% 218.86/218.97 ( op2(h3(e13),h3(e13)) != op2(e23,e23)+% 218.86/218.97 | e20 = op2(h3(e13),h3(e13)) ),+% 218.86/218.97 inference(instantiation,[status(thm)],[c_358918]) ).+% 218.86/218.97 +% 218.86/218.97 cnf(c_589275,plain,+% 218.86/218.97 ( op2(h3(e13),h3(e13)) = e20 | e20 != op2(h3(e13),h3(e13)) ),+% 218.86/218.97 inference(instantiation,[status(thm)],[c_359611]) ).+% 218.86/218.97 +% 218.86/218.97 cnf(c_355926,plain,+% 218.86/218.97 ( X0 = op2(e20,e20) | X0 != h1(e10) ),+% 218.86/218.97 inference(resolution,[status(thm)],[c_16532,c_260]) ).+% 218.86/218.97 +% 218.86/218.97 cnf(c_366282,plain,+% 218.86/218.97 ( X0 = X1 | X0 != op2(e20,e20) | X1 != h1(e10) ),+% 218.86/218.97 inference(resolution,[status(thm)],[c_355926,c_16532]) ).+% 218.86/218.97 +% 218.86/218.98 cnf(c_382203,plain,+% 218.86/218.98 ( X0 != h1(e10) | X1 != e20 | X2 != e20 | op2(X1,X2) = X0 ),+% 218.86/218.98 inference(resolution,[status(thm)],[c_366282,c_16534]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_297,plain,+% 218.86/218.98 ( ~ sP12 | e20 != h3(e10) ),+% 218.86/218.98 inference(cnf_transformation,[],[f354]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_292,plain,+% 218.86/218.98 ( ~ sP13 | e21 != h3(e11) ),+% 218.86/218.98 inference(cnf_transformation,[],[f351]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_2800,plain,+% 218.86/218.98 ( sP12+% 218.86/218.98 | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))+% 218.86/218.98 | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+% 218.86/218.98 | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+% 218.86/218.98 | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+% 218.86/218.98 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 218.86/218.98 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 218.86/218.98 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 218.86/218.98 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 218.86/218.98 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 218.86/218.98 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 218.86/218.98 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 218.86/218.98 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 218.86/218.98 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 218.86/218.98 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 218.86/218.98 | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+% 218.86/218.98 | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+% 218.86/218.98 | e21 != h3(e11)+% 218.86/218.98 | e23 != h3(e13) ),+% 218.86/218.98 inference(resolution,[status(thm)],[c_361,c_292]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_140999,plain,+% 218.86/218.98 ( X0 != X1 | h3(e10) != X1 | h3(e10) = X0 ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_146507,plain,+% 218.86/218.98 ( X0 != h3(op1(e10,e10))+% 218.86/218.98 | h3(e10) = X0+% 218.86/218.98 | h3(e10) != h3(op1(e10,e10)) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_140999]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_167858,plain,+% 218.86/218.98 ( op2(e22,e22) != h3(op1(e10,e10))+% 218.86/218.98 | h3(e10) = op2(e22,e22)+% 218.86/218.98 | h3(e10) != h3(op1(e10,e10)) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_146507]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_30252,plain,+% 218.86/218.98 ( h3(op1(e10,e10)) = h3(op1(e10,e10)) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_16531]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_30251,plain,+% 218.86/218.98 ( X0 != h3(op1(e10,e10))+% 218.86/218.98 | h3(op1(e10,e10)) = X0+% 218.86/218.98 | h3(op1(e10,e10)) != h3(op1(e10,e10)) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_29793]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_31300,plain,+% 218.86/218.98 ( h3(X0) != h3(op1(e10,e10))+% 218.86/218.98 | h3(op1(e10,e10)) = h3(X0)+% 218.86/218.98 | h3(op1(e10,e10)) != h3(op1(e10,e10)) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_30251]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_45834,plain,+% 218.86/218.98 ( h3(op1(e10,e10)) != h3(op1(e10,e10))+% 218.86/218.98 | h3(op1(e10,e10)) = h3(e10)+% 218.86/218.98 | h3(e10) != h3(op1(e10,e10)) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_31300]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_31298,plain,+% 218.86/218.98 ( X0 != X1 | X0 = h3(op1(e10,e10)) | h3(op1(e10,e10)) != X1 ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_48180,plain,+% 218.86/218.98 ( X0 = h3(op1(e10,e10))+% 218.86/218.98 | X0 != h3(e10)+% 218.86/218.98 | h3(op1(e10,e10)) != h3(e10) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_31298]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_58695,plain,+% 218.86/218.98 ( op2(e22,e22) = h3(op1(e10,e10))+% 218.86/218.98 | op2(e22,e22) != h3(e10)+% 218.86/218.98 | h3(op1(e10,e10)) != h3(e10) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_48180]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_93661,plain,+% 218.86/218.98 ( op2(e22,e22) != h3(op1(e10,e10))+% 218.86/218.98 | h3(e10) = op2(e22,e22)+% 218.86/218.98 | h3(e10) != h3(op1(e10,e10)) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_65902]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_190678,plain,+% 218.86/218.98 ( h3(e10) = op2(e22,e22) | h3(e10) != h3(op1(e10,e10)) ),+% 218.86/218.98 inference(global_propositional_subsumption,+% 218.86/218.98 [status(thm)],+% 218.86/218.98 [c_167858,c_268,c_30252,c_45834,c_58695,c_93661]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_139246,plain,+% 218.86/218.98 ( X0 != X1 | e20 != X1 | e20 = X0 ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_140777,plain,+% 218.86/218.98 ( X0 != op2(e22,e22) | e20 = X0 | e20 != op2(e22,e22) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_139246]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_19559,plain,+% 218.86/218.98 ( X0 != op2(e22,e22) | e20 = X0 | e20 != op2(e22,e22) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_17488]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_143144,plain,+% 218.86/218.98 ( e20 = X0 | X0 != op2(e22,e22) ),+% 218.86/218.98 inference(global_propositional_subsumption,+% 218.86/218.98 [status(thm)],+% 218.86/218.98 [c_140777,c_257,c_19559]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_143145,plain,+% 218.86/218.98 ( X0 != op2(e22,e22) | e20 = X0 ),+% 218.86/218.98 inference(renaming,[status(thm)],[c_143144]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_190694,plain,+% 218.86/218.98 ( h3(e10) != op2(e22,e22) | e20 = h3(e10) ),+% 218.86/218.98 inference(instantiation,[status(thm)],[c_143145]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_230253,plain,+% 218.86/218.98 ( e21 = op2(e22,op2(e22,e22)) ),+% 218.86/218.98 inference(resolution,[status(thm)],[c_230241,c_256]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_230260,plain,+% 218.86/218.98 ( X0 != op2(e22,op2(e22,e22)) | X0 = e21 ),+% 218.86/218.98 inference(resolution,[status(thm)],[c_230253,c_16532]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_267,plain,+% 218.86/218.98 ( op2(e22,op2(e22,e22)) = h3(e11) ),+% 218.86/218.98 inference(cnf_transformation,[],[f328]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_224703,plain,+% 218.86/218.98 ( X0 = op2(e22,op2(e22,e22)) | X0 != h3(e11) ),+% 218.86/218.98 inference(resolution,[status(thm)],[c_16532,c_267]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_230422,plain,+% 218.86/218.98 ( X0 != h3(e11) | X0 = e21 ),+% 218.86/218.98 inference(resolution,[status(thm)],[c_230260,c_224703]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_230430,plain,+% 218.86/218.98 ( h3(e11) = e21 ),+% 218.86/218.98 inference(resolution,[status(thm)],[c_230422,c_16531]) ).+% 218.86/218.98 +% 218.86/218.98 cnf(c_230438,plain,+% 218.86/218.98 ( e21 = h3(e11) ),+% 218.86/218.98 inference(resolution,[status(thm)],[c_230430,c_230241]) ).+% 218.86/218.98 +% 218.86/218.99 cnf(c_355252,plain,+% 218.86/218.99 ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+% 218.86/218.99 | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+% 218.86/218.99 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 218.86/218.99 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 218.86/218.99 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 218.86/218.99 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 218.86/218.99 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 218.86/218.99 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 218.86/218.99 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 218.86/218.99 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 218.86/218.99 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 218.86/218.99 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 218.86/218.99 | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+% 218.86/218.99 | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+% 218.86/218.99 | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+% 218.86/218.99 | op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ),+% 218.86/218.99 inference(global_propositional_subsumption,+% 218.86/218.99 [status(thm)],+% 218.86/218.99 [c_361,c_297,c_268,c_266,c_255,c_254,c_253,c_252,c_235,+% 218.86/218.99 c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,+% 218.86/218.99 c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,+% 218.86/218.99 c_2800,c_16539,c_16545,c_16905,c_16958,c_17013,c_17089,+% 218.86/218.99 c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,+% 218.86/218.99 c_18107,c_18166,c_18206,c_18617,c_19143,c_19289,c_19311,+% 218.86/218.99 c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,c_23125,+% 218.86/218.99 c_23124,c_23181,c_23176,c_23529,c_23530,c_24269,c_27071,+% 218.86/218.99 c_27668,c_27673,c_27674,c_29140,c_29185,c_30252,c_31852,+% 218.86/218.99 c_31860,c_32730,c_35056,c_45564,c_45834,c_47043,c_49848,+% 218.86/218.99 c_58695,c_62414,c_66850,c_72084,c_93661,c_133487,+% 218.86/218.99 c_133544,c_137595,c_138028,c_142352,c_144212,c_190694,+% 218.86/218.99 c_204646,c_229253,c_230438]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_355253,plain,+% 218.86/218.99 ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10))+% 218.86/218.99 | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+% 218.86/218.99 | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+% 218.86/218.99 | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+% 218.86/218.99 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 218.86/218.99 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 218.86/218.99 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 218.86/218.99 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 218.86/218.99 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 218.86/218.99 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 218.86/218.99 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 218.86/218.99 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 218.86/218.99 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 218.86/218.99 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 218.86/218.99 | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+% 218.86/218.99 | op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),+% 218.86/218.99 inference(renaming,[status(thm)],[c_355252]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_661103,plain,+% 218.86/218.99 ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+% 218.86/218.99 | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+% 218.86/218.99 | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+% 218.86/218.99 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 218.86/218.99 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 218.86/218.99 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 218.86/218.99 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 218.86/218.99 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 218.86/218.99 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 218.86/218.99 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 218.86/218.99 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 218.86/218.99 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 218.86/218.99 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 218.86/218.99 | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))+% 218.86/218.99 | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))+% 218.86/218.99 | h3(op1(e10,e10)) != h1(e10)+% 218.86/218.99 | h3(e10) != e20 ),+% 218.86/218.99 inference(resolution,[status(thm)],[c_382203,c_355253]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_1031187,plain,+% 218.86/218.99 ( op2(h3(e13),h3(e13)) != X0+% 218.86/218.99 | op2(h3(e13),h3(e13)) = h3(op1(e13,e13))+% 218.86/218.99 | h3(op1(e13,e13)) != X0 ),+% 218.86/218.99 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_1104557,plain,+% 218.86/218.99 ( op2(h3(e13),h3(e13)) = h3(op1(e13,e13))+% 218.86/218.99 | op2(h3(e13),h3(e13)) != e20+% 218.86/218.99 | h3(op1(e13,e13)) != e20 ),+% 218.86/218.99 inference(instantiation,[status(thm)],[c_1031187]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_1587302,plain,+% 218.86/218.99 ( op2(h3(e13),h3(e12)) != X0+% 218.86/218.99 | op2(h3(e13),h3(e12)) = h3(op1(e13,e12))+% 218.86/218.99 | h3(op1(e13,e12)) != X0 ),+% 218.86/218.99 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_1622158,plain,+% 218.86/218.99 ( op2(h3(e13),h3(e12)) != op2(e23,e22)+% 218.86/218.99 | op2(h3(e13),h3(e12)) = h3(op1(e13,e12))+% 218.86/218.99 | h3(op1(e13,e12)) != op2(e23,e22) ),+% 218.86/218.99 inference(instantiation,[status(thm)],[c_1587302]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_64722,plain,+% 218.86/218.99 ( X0 != X1+% 218.86/218.99 | X0 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.86/218.99 | op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != X1 ),+% 218.86/218.99 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_70859,plain,+% 218.86/218.99 ( X0 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.86/218.99 | X0 != e23+% 218.86/218.99 | op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != e23 ),+% 218.86/218.99 inference(instantiation,[status(thm)],[c_64722]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_107859,plain,+% 218.86/218.99 ( op2(op2(e22,op2(e22,e22)),op2(e22,e22)) != e23+% 218.86/218.99 | op2(e23,e22) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.86/218.99 | op2(e23,e22) != e23 ),+% 218.86/218.99 inference(instantiation,[status(thm)],[c_70859]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_227214,plain,+% 218.86/218.99 ( X0 != X1 | X0 = e23 | e23 != X1 ),+% 218.86/218.99 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_228881,plain,+% 218.86/218.99 ( X0 != op2(e23,op2(e20,e23))+% 218.86/218.99 | X0 = e23+% 218.86/218.99 | e23 != op2(e23,op2(e20,e23)) ),+% 218.86/218.99 inference(instantiation,[status(thm)],[c_227214]) ).+% 218.86/218.99 +% 218.86/218.99 cnf(c_234483,plain,+% 218.86/218.99 ( op2(e23,e22) != op2(e23,op2(e20,e23))+% 218.86/218.99 | op2(e23,e22) = e23+% 218.86/218.99 | e23 != op2(e23,op2(e20,e23)) ),+% 218.86/218.99 inference(instantiation,[status(thm)],[c_228881]) ).+% 218.86/218.99 +% 218.86/219.00 cnf(c_247674,plain,+% 218.86/219.00 ( op2(e23,e22) = e23 | op2(e23,e22) != op2(e23,op2(e20,e23)) ),+% 218.86/219.00 inference(global_propositional_subsumption,+% 218.86/219.00 [status(thm)],+% 218.86/219.00 [c_234483,c_17254,c_40399,c_165269]) ).+% 218.86/219.00 +% 218.86/219.00 cnf(c_247675,plain,+% 218.86/219.00 ( op2(e23,e22) != op2(e23,op2(e20,e23)) | op2(e23,e22) = e23 ),+% 218.86/219.00 inference(renaming,[status(thm)],[c_247674]) ).+% 218.86/219.00 +% 218.86/219.00 cnf(c_1550751,plain,+% 218.86/219.00 ( X0 != X1 | h3(op1(e13,e12)) != X1 | h3(op1(e13,e12)) = X0 ),+% 218.86/219.00 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.86/219.00 +% 218.86/219.00 cnf(c_1559000,plain,+% 218.86/219.00 ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.86/219.00 | h3(op1(e13,e12)) = X0+% 218.86/219.00 | h3(op1(e13,e12)) != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 218.86/219.00 inference(instantiation,[status(thm)],[c_1550751]) ).+% 218.86/219.00 +% 218.86/219.00 cnf(c_688372,plain,+% 218.86/219.00 ( X0 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) | X0 != h3(e13) ),+% 218.86/219.00 inference(resolution,[status(thm)],[c_16532,c_266]) ).+% 218.86/219.00 +% 218.86/219.00 cnf(c_1,plain,+% 218.86/219.00 ( op1(e13,e12) = e11+% 218.86/219.00 | op1(e13,e12) = e12+% 218.86/219.00 | op1(e13,e12) = e13+% 218.86/219.00 | e10 = op1(e13,e12) ),+% 218.86/219.00 inference(cnf_transformation,[],[f74]) ).+% 218.86/219.00 +% 218.86/219.01 cnf(c_694231,plain,+% 218.86/219.01 ( op1(e13,e12) = e13 ),+% 218.86/219.01 inference(global_propositional_subsumption,+% 218.86/219.01 [status(thm)],+% 218.86/219.01 [c_1,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,+% 218.86/219.01 c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,c_139,+% 218.86/219.01 c_135,c_132,c_128,c_126,c_124,c_123,c_120,c_112,c_107,+% 218.86/219.01 c_104,c_103,c_98,c_41,c_39,c_24,c_23,c_17,c_12,c_6,+% 218.86/219.01 c_16539,c_16545,c_16561,c_16603,c_16958,c_17013,c_17146,+% 218.86/219.01 c_17196,c_17224,c_17316,c_17467,c_17673,c_17677,c_17685,+% 218.86/219.01 c_18082,c_18107,c_18139,c_18140,c_18166,c_18206,c_19077,+% 218.86/219.01 c_19078,c_19289,c_19311,c_20081,c_20144,c_20243,c_20396,+% 218.86/219.01 c_20440,c_21221,c_21647,c_22973,c_23054,c_23126,c_23125,+% 218.86/219.01 c_23124,c_23181,c_23176,c_24872,c_27071,c_27668,c_27669,+% 218.86/219.01 c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,+% 218.86/219.01 c_30290,c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,+% 218.86/219.01 c_33701,c_34860,c_35127,c_36527,c_45564,c_47043,c_49848,+% 218.86/219.01 c_59901,c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,+% 218.86/219.01 c_75216,c_75243,c_76700,c_133487,c_137595,c_137971,+% 218.86/219.01 c_137988,c_138028,c_142352,c_144212,c_154058,c_162431,+% 218.86/219.01 c_178052,c_229618,c_231889]) ).+% 218.86/219.01 +% 218.86/219.01 cnf(c_694253,plain,+% 218.86/219.01 ( h3(op1(e13,e12)) = h3(e13) ),+% 218.86/219.01 inference(resolution,[status(thm)],[c_694231,c_16537]) ).+% 218.86/219.01 +% 218.86/219.01 cnf(c_747042,plain,+% 218.86/219.01 ( h3(op1(e13,e12)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 218.86/219.01 inference(resolution,[status(thm)],[c_688372,c_694253]) ).+% 218.86/219.01 +% 218.94/219.04 cnf(c_1565919,plain,+% 218.94/219.04 ( h3(op1(e13,e12)) = X0+% 218.94/219.04 | X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 218.94/219.04 inference(global_propositional_subsumption,+% 218.94/219.04 [status(thm)],+% 218.94/219.04 [c_1559000,c_747042]) ).+% 218.94/219.04 +% 218.94/219.04 cnf(c_1565920,plain,+% 218.94/219.04 ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.94/219.04 | h3(op1(e13,e12)) = X0 ),+% 218.94/219.04 inference(renaming,[status(thm)],[c_1565919]) ).+% 218.94/219.04 +% 218.94/219.04 cnf(c_1565930,plain,+% 218.94/219.04 ( op2(e23,e22) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.94/219.04 | h3(op1(e13,e12)) = op2(e23,e22) ),+% 218.94/219.04 inference(instantiation,[status(thm)],[c_1565920]) ).+% 218.94/219.04 +% 218.94/219.06 cnf(c_1644846,plain,+% 218.94/219.06 ( op2(h3(e13),h3(e12)) = h3(op1(e13,e12))+% 218.94/219.06 | op2(h3(e13),h3(e12)) != op2(e23,e22) ),+% 218.94/219.06 inference(global_propositional_subsumption,+% 218.94/219.06 [status(thm)],+% 218.94/219.06 [c_1622158,c_255,c_17427,c_107859,c_113093,c_178764,+% 218.94/219.06 c_225198,c_247675,c_255252,c_1565930]) ).+% 218.94/219.06 +% 218.94/219.06 cnf(c_1644847,plain,+% 218.94/219.06 ( op2(h3(e13),h3(e12)) != op2(e23,e22)+% 218.94/219.06 | op2(h3(e13),h3(e12)) = h3(op1(e13,e12)) ),+% 218.94/219.06 inference(renaming,[status(thm)],[c_1644846]) ).+% 218.94/219.06 +% 218.94/219.06 cnf(c_1685542,plain,+% 218.94/219.06 ( op2(h3(e13),h3(e12)) = op2(X0,X1)+% 218.94/219.06 | h3(e12) != X1+% 218.94/219.06 | h3(e13) != X0 ),+% 218.94/219.06 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.94/219.06 +% 218.94/219.06 cnf(c_1755101,plain,+% 218.94/219.06 ( op2(h3(e13),h3(e12)) = op2(e23,X0)+% 218.94/219.06 | h3(e12) != X0+% 218.94/219.06 | h3(e13) != e23 ),+% 218.94/219.06 inference(instantiation,[status(thm)],[c_1685542]) ).+% 218.94/219.06 +% 218.94/219.06 cnf(c_18551,plain,+% 218.94/219.06 ( h3(e13) != X0 | h3(e13) = e23 | e23 != X0 ),+% 218.94/219.06 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.94/219.06 +% 218.94/219.06 cnf(c_19176,plain,+% 218.94/219.06 ( h3(e13) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 218.94/219.06 | h3(e13) = e23+% 218.94/219.06 | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 218.94/219.06 inference(instantiation,[status(thm)],[c_18551]) ).+% 218.94/219.06 +% 218.94/219.06 cnf(c_1589186,plain,+% 218.94/219.06 ( op2(h3(e13),h3(e12)) = op2(X0,X1)+% 218.94/219.06 | h3(e12) != X1+% 218.94/219.06 | h3(e13) != X0 ),+% 218.94/219.06 inference(instantiation,[status(thm)],[c_16534]) ).+% 218.94/219.06 +% 218.94/219.06 cnf(c_1659816,plain,+% 218.94/219.06 ( op2(h3(e13),h3(e12)) = op2(e23,X0)+% 218.94/219.06 | h3(e12) != X0+% 218.94/219.06 | h3(e13) != e23 ),+% 218.94/219.06 inference(instantiation,[status(thm)],[c_1589186]) ).+% 218.94/219.06 +% 218.97/219.09 cnf(c_1778633,plain,+% 218.97/219.09 ( h3(e12) != X0 | op2(h3(e13),h3(e12)) = op2(e23,X0) ),+% 218.97/219.09 inference(global_propositional_subsumption,+% 218.97/219.09 [status(thm)],+% 218.97/219.09 [c_1755101,c_266,c_255,c_16905,c_18617,c_19176,c_23529,+% 218.97/219.09 c_23530,c_1659816]) ).+% 218.97/219.09 +% 218.97/219.09 cnf(c_1778634,plain,+% 218.97/219.09 ( op2(h3(e13),h3(e12)) = op2(e23,X0) | h3(e12) != X0 ),+% 218.97/219.09 inference(renaming,[status(thm)],[c_1778633]) ).+% 218.97/219.09 +% 218.97/219.09 cnf(c_1778912,plain,+% 218.97/219.09 ( op2(h3(e13),h3(e12)) = op2(e23,e22) | h3(e12) != e22 ),+% 218.97/219.09 inference(instantiation,[status(thm)],[c_1778634]) ).+% 218.97/219.09 +% 218.97/219.13 cnf(c_3013006,plain,+% 218.97/219.13 ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 218.97/219.13 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 218.97/219.13 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 218.97/219.13 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 218.97/219.13 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 218.97/219.13 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 218.97/219.13 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 218.97/219.13 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 218.97/219.13 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 218.97/219.13 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 218.97/219.13 | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+% 218.97/219.13 | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+% 218.97/219.13 | op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) ),+% 218.97/219.13 inference(global_propositional_subsumption,+% 218.97/219.13 [status(thm)],+% 218.97/219.13 [c_361,c_266,c_255,c_16905,c_18617,c_19143,c_23529,+% 218.97/219.13 c_23530,c_111818,c_224868,c_253327,c_579093,c_589274,+% 218.97/219.13 c_589275,c_663491,c_1104557,c_1644847,c_1778912]) ).+% 218.97/219.13 +% 218.97/219.13 cnf(c_3013007,plain,+% 218.97/219.13 ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11))+% 218.97/219.13 | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+% 218.97/219.13 | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+% 218.97/219.13 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 218.97/219.13 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 218.97/219.13 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 218.97/219.13 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 218.97/219.13 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 218.97/219.13 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 218.97/219.13 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 218.97/219.13 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 218.97/219.13 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 218.97/219.13 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 218.97/219.13 inference(renaming,[status(thm)],[c_3013006]) ).+% 218.97/219.13 +% 218.97/219.13 cnf(c_4187206,plain,+% 218.97/219.13 ( op2(h3(e10),h3(e11)) != e23+% 218.97/219.13 | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))+% 218.97/219.13 | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+% 218.97/219.13 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 218.97/219.13 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 218.97/219.13 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 218.97/219.13 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 218.97/219.13 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 218.97/219.13 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 218.97/219.13 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 218.97/219.13 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 218.97/219.13 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 218.97/219.13 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 218.97/219.13 inference(resolution,[status(thm)],[c_4069589,c_3013007]) ).+% 218.97/219.13 +% 218.97/219.13 cnf(c_16612,plain,+% 218.97/219.13 ( op1(e10,e12) != X0+% 218.97/219.13 | op1(e10,e12) = op1(e13,e12)+% 218.97/219.13 | op1(e13,e12) != X0 ),+% 218.97/219.13 inference(instantiation,[status(thm)],[c_16532]) ).+% 218.97/219.13 +% 218.97/219.13 cnf(c_17508,plain,+% 218.97/219.13 ( op1(e10,e12) != op1(e10,e12)+% 218.97/219.13 | op1(e10,e12) = op1(e13,e12)+% 218.97/219.13 | op1(e13,e12) != op1(e10,e12) ),+% 218.97/219.13 inference(instantiation,[status(thm)],[c_16612]) ).+% 218.97/219.13 +% 218.97/219.13 cnf(c_42257,plain,+% 218.97/219.13 ( op1(e10,e12) != e13+% 218.97/219.13 | op1(e13,e12) = op1(e10,e12)+% 218.97/219.13 | op1(e13,e12) != e13 ),+% 218.97/219.13 inference(instantiation,[status(thm)],[c_30818]) ).+% 218.97/219.13 +% 218.97/219.13 cnf(c_224771,plain,+% 218.97/219.13 ( X0 != X1 | X2 != X3 | X4 != op1(X1,X3) | X4 = op1(X0,X2) ),+% 218.97/219.13 inference(resolution,[status(thm)],[c_16533,c_16532]) ).+% 218.97/219.13 +% 219.03/219.13 cnf(c_224555,plain,+% 219.03/219.13 ( op1(e12,op1(e10,e12)) = e12 ),+% 219.03/219.13 inference(global_propositional_subsumption,+% 219.03/219.13 [status(thm)],+% 219.03/219.13 [c_229,c_254,c_253,c_252,c_235,c_234,c_232,c_226,c_224,+% 219.03/219.13 c_221,c_196,c_195,c_194,c_140,c_139,c_128,c_126,c_39,+% 219.03/219.13 c_23,c_16539,c_16545,c_16958,c_17013,c_17146,c_17224,+% 219.03/219.13 c_17316,c_17467,c_17685,c_18082,c_18107,c_18166,c_18206,+% 219.03/219.13 c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,+% 219.03/219.13 c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,c_27673,+% 219.03/219.13 c_27674,c_29140,c_29185,c_31852,c_31860,c_32730,c_45564,+% 219.03/219.13 c_47043,c_49848,c_62414,c_66850,c_72084,c_133487,+% 219.03/219.13 c_137595,c_138028,c_142352,c_144212]) ).+% 219.03/219.13 +% 219.03/219.13 cnf(c_224678,plain,+% 219.03/219.13 ( X0 = op1(e12,op1(e10,e12)) | X0 != e12 ),+% 219.03/219.13 inference(resolution,[status(thm)],[c_16532,c_224555]) ).+% 219.03/219.13 +% 219.03/219.13 cnf(c_240222,plain,+% 219.03/219.13 ( X0 = op1(X1,X2) | X2 != op1(e10,e12) | X0 != e12 | X1 != e12 ),+% 219.03/219.13 inference(resolution,[status(thm)],[c_224771,c_224678]) ).+% 219.03/219.13 +% 219.03/219.13 cnf(c_240223,plain,+% 219.03/219.13 ( e12 != op1(e10,e12) | e12 = op1(e12,e12) | e12 != e12 ),+% 219.03/219.13 inference(instantiation,[status(thm)],[c_240222]) ).+% 219.03/219.13 +% 219.06/219.17 cnf(c_3023447,plain,+% 219.06/219.17 ( op1(e10,e12) = e11 ),+% 219.06/219.17 inference(global_propositional_subsumption,+% 219.06/219.17 [status(thm)],+% 219.06/219.17 [c_13,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,+% 219.06/219.17 c_224,c_221,c_197,c_196,c_195,c_194,c_193,c_192,c_143,+% 219.06/219.17 c_140,c_139,c_135,c_132,c_129,c_128,c_126,c_124,c_123,+% 219.06/219.17 c_120,c_113,c_112,c_110,c_109,c_107,c_106,c_104,c_103,+% 219.06/219.17 c_102,c_99,c_98,c_46,c_41,c_39,c_28,c_26,c_24,c_23,c_22,+% 219.06/219.17 c_17,c_12,c_10,c_6,c_16539,c_16545,c_16561,c_16603,+% 219.06/219.17 c_16958,c_17006,c_17013,c_17034,c_17059,c_17069,c_17089,+% 219.06/219.17 c_17105,c_17110,c_17146,c_17196,c_17224,c_17310,c_17316,+% 219.06/219.17 c_17324,c_17461,c_17467,c_17502,c_17501,c_17500,c_17508,+% 219.06/219.17 c_17669,c_17673,c_17675,c_17677,c_17685,c_18082,c_18107,+% 219.06/219.17 c_18139,c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,+% 219.06/219.17 c_19311,c_20081,c_20144,c_20240,c_20243,c_20257,c_20396,+% 219.06/219.17 c_20399,c_20440,c_20464,c_21221,c_21647,c_21699,c_22973,+% 219.06/219.17 c_23054,c_23127,c_23126,c_23125,c_23124,c_23181,c_23176,+% 219.06/219.17 c_24872,c_24898,c_24942,c_24967,c_27071,c_27668,c_27669,+% 219.06/219.17 c_27672,c_27673,c_27674,c_28850,c_29140,c_29157,c_29185,+% 219.06/219.17 c_29228,c_30290,c_31852,c_31860,c_31892,c_31942,c_32466,+% 219.06/219.17 c_32502,c_32730,c_32836,c_33701,c_34860,c_35127,c_36430,+% 219.06/219.17 c_36527,c_36533,c_42257,c_45564,c_47043,c_49848,c_55736,+% 219.06/219.17 c_59901,c_60219,c_62404,c_62414,c_62440,c_65626,c_65980,+% 219.06/219.17 c_66850,c_72084,c_75216,c_75243,c_76700,c_88332,+% 219.06/219.17 c_133487,c_137595,c_137971,c_137988,c_138028,c_138573,+% 219.06/219.17 c_142352,c_144212,c_144662,c_148725,c_154058,c_162431,+% 219.06/219.17 c_178052,c_229618,c_231889,c_240223]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3023469,plain,+% 219.06/219.17 ( e11 = op1(e10,e12) ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_3023447,c_3013688]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3055876,plain,+% 219.06/219.17 ( X0 != op1(e10,e12) | h3(X0) = h3(e11) ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_3039293,c_3023469]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3013710,plain,+% 219.06/219.17 ( e21 = op2(e22,op2(e22,e22)) ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_3013688,c_256]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3023347,plain,+% 219.06/219.17 ( X0 != op2(e22,op2(e22,e22)) | e21 = X0 ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_3013710,c_16532]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3013681,plain,+% 219.06/219.17 ( X0 != h3(e11) | op2(e22,op2(e22,e22)) = X0 ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_16532,c_267]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3038811,plain,+% 219.06/219.17 ( X0 = op2(e22,op2(e22,e22)) | X0 != h3(e11) ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_3013681,c_3013688]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3100542,plain,+% 219.06/219.17 ( X0 != h3(e11) | e21 = X0 ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_3023347,c_3038811]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3254195,plain,+% 219.06/219.17 ( X0 != op1(e10,e12) | e21 = h3(X0) ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_3055876,c_3100542]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3256408,plain,+% 219.06/219.17 ( e21 = h3(op1(e10,e12)) ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_3254195,c_16531]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3256511,plain,+% 219.06/219.17 ( h3(op1(e10,e12)) = e21 ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_3256408,c_3013688]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3256523,plain,+% 219.06/219.17 ( X0 != e21 | h3(op1(e10,e12)) = X0 ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_3256511,c_16532]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_3257568,plain,+% 219.06/219.17 ( X0 = h3(op1(e10,e12)) | X0 != e21 ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_3256523,c_3013688]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_4187398,plain,+% 219.06/219.17 ( op2(h3(e10),h3(e11)) != e23+% 219.06/219.17 | op2(h3(e10),h3(e12)) != e21+% 219.06/219.17 | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))+% 219.06/219.17 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 219.06/219.17 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 219.06/219.17 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 219.06/219.17 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 219.06/219.17 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 219.06/219.17 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.06/219.17 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.06/219.17 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.06/219.17 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.06/219.17 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.06/219.17 inference(resolution,[status(thm)],[c_4187206,c_3257568]) ).+% 219.06/219.17 +% 219.06/219.17 cnf(c_19,plain,+% 219.06/219.17 ( op1(e13,e10) = e12+% 219.06/219.17 | op1(e13,e11) = e12+% 219.06/219.17 | op1(e13,e12) = e12+% 219.06/219.17 | op1(e13,e13) = e12 ),+% 219.06/219.17 inference(cnf_transformation,[],[f104]) ).+% 219.06/219.17 +% 219.06/219.18 cnf(c_229707,plain,+% 219.06/219.18 ( op1(e13,e10) = e12 ),+% 219.06/219.18 inference(global_propositional_subsumption,+% 219.06/219.18 [status(thm)],+% 219.06/219.18 [c_19,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,+% 219.06/219.18 c_224,c_221,c_196,c_195,c_194,c_192,c_140,c_139,c_128,+% 219.06/219.18 c_126,c_42,c_39,c_23,c_16539,c_16545,c_16958,c_17013,+% 219.06/219.18 c_17146,c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,+% 219.06/219.18 c_18166,c_18206,c_19311,c_20081,c_20113,c_20238,c_20243,+% 219.06/219.18 c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,+% 219.06/219.18 c_23176,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,+% 219.06/219.18 c_30493,c_31852,c_31860,c_32730,c_36462,c_45564,c_47043,+% 219.06/219.18 c_49848,c_62391,c_62414,c_66850,c_72084,c_133487,+% 219.06/219.18 c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,+% 219.06/219.18 c_229253]) ).+% 219.06/219.18 +% 219.06/219.18 cnf(c_229735,plain,+% 219.06/219.18 ( X0 = op1(e13,e10) | X0 != e12 ),+% 219.06/219.18 inference(resolution,[status(thm)],[c_229707,c_16532]) ).+% 219.06/219.18 +% 219.06/219.18 cnf(c_138,plain,+% 219.06/219.18 ( op1(e12,e10) != op1(e13,e10) ),+% 219.06/219.18 inference(cnf_transformation,[],[f161]) ).+% 219.06/219.18 +% 219.06/219.18 cnf(c_229741,plain,+% 219.06/219.18 ( op1(e12,e10) != e12 ),+% 219.06/219.18 inference(resolution,[status(thm)],[c_229735,c_138]) ).+% 219.06/219.18 +% 219.06/219.18 cnf(c_27,plain,+% 219.06/219.18 ( op1(e12,e10) = e12+% 219.06/219.18 | op1(e12,e11) = e12+% 219.06/219.18 | op1(e12,e12) = e12+% 219.06/219.18 | op1(e12,e13) = e12 ),+% 219.06/219.18 inference(cnf_transformation,[],[f96]) ).+% 219.06/219.18 +% 219.06/219.18 cnf(c_229747,plain,+% 219.06/219.18 ( op1(e12,e11) = e12 | op1(e12,e12) = e12 | op1(e12,e13) = e12 ),+% 219.06/219.18 inference(backward_subsumption_resolution,+% 219.06/219.18 [status(thm)],+% 219.06/219.18 [c_229741,c_27]) ).+% 219.06/219.18 +% 219.06/219.18 cnf(c_138004,plain,+% 219.06/219.18 ( op1(e12,e11) = e12 | op1(e12,e13) = e12 ),+% 219.06/219.18 inference(global_propositional_subsumption,+% 219.06/219.18 [status(thm)],+% 219.06/219.18 [c_27,c_254,c_253,c_196,c_194,c_16545,c_17013,c_17310,+% 219.06/219.18 c_17675,c_18166,c_20113,c_20238,c_20243,c_32730,c_36462]) ).+% 219.06/219.18 +% 219.06/219.19 cnf(c_239623,plain,+% 219.06/219.19 ( op1(e12,e11) = e12 ),+% 219.06/219.19 inference(global_propositional_subsumption,+% 219.06/219.19 [status(thm)],+% 219.06/219.19 [c_229747,c_254,c_253,c_252,c_235,c_234,c_232,c_228,+% 219.06/219.19 c_226,c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_132,+% 219.06/219.19 c_128,c_126,c_124,c_123,c_107,c_104,c_103,c_39,c_23,+% 219.06/219.19 c_12,c_6,c_16539,c_16545,c_16603,c_16958,c_17013,+% 219.06/219.19 c_17146,c_17224,c_17316,c_17467,c_17673,c_17685,c_18082,+% 219.06/219.19 c_18107,c_18139,c_18140,c_18166,c_18206,c_19078,c_19311,+% 219.06/219.19 c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_23054,+% 219.06/219.19 c_23126,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,+% 219.06/219.19 c_27672,c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,+% 219.06/219.19 c_31852,c_31860,c_31892,c_32502,c_32730,c_33701,c_45564,+% 219.06/219.19 c_47043,c_49848,c_59901,c_60219,c_62414,c_65980,c_66850,+% 219.06/219.19 c_72084,c_75216,c_75243,c_133487,c_137595,c_138004,+% 219.06/219.19 c_138028,c_142352,c_144212,c_154058,c_162431,c_229618,+% 219.06/219.19 c_231889]) ).+% 219.06/219.19 +% 219.06/219.19 cnf(c_239635,plain,+% 219.06/219.19 ( X0 = op1(e12,e11) | X0 != e12 ),+% 219.06/219.19 inference(resolution,[status(thm)],[c_239623,c_16532]) ).+% 219.06/219.19 +% 219.06/219.19 cnf(c_239667,plain,+% 219.06/219.19 ( op1(e10,e11) != e12 ),+% 219.06/219.19 inference(resolution,[status(thm)],[c_239635,c_136]) ).+% 219.06/219.19 +% 219.06/219.19 cnf(c_141,plain,+% 219.06/219.19 ( op1(e10,e10) != op1(e13,e10) ),+% 219.06/219.19 inference(cnf_transformation,[],[f158]) ).+% 219.06/219.19 +% 219.06/219.19 cnf(c_229743,plain,+% 219.06/219.19 ( op1(e10,e10) != e12 ),+% 219.06/219.19 inference(resolution,[status(thm)],[c_229735,c_141]) ).+% 219.06/219.19 +% 219.06/219.19 cnf(c_229754,plain,+% 219.06/219.19 ( op1(e10,e11) = e12 | op1(e10,e12) = e12 | op1(e10,e13) = e12 ),+% 219.06/219.19 inference(backward_subsumption_resolution,+% 219.06/219.19 [status(thm)],+% 219.06/219.19 [c_229743,c_43]) ).+% 219.06/219.19 +% 219.06/219.19 cnf(c_239678,plain,+% 219.06/219.19 ( op1(e10,e12) = e12 | op1(e10,e13) = e12 ),+% 219.06/219.19 inference(backward_subsumption_resolution,+% 219.06/219.19 [status(thm)],+% 219.06/219.19 [c_239667,c_229754]) ).+% 219.06/219.19 +% 219.06/219.19 cnf(c_239744,plain,+% 219.06/219.19 ( X0 = op1(e10,e12) | X0 != e12 | op1(e10,e13) = e12 ),+% 219.06/219.19 inference(resolution,[status(thm)],[c_239678,c_16532]) ).+% 219.06/219.19 +% 219.06/219.19 cnf(c_239745,plain,+% 219.06/219.19 ( op1(e10,e13) = e12 | e12 = op1(e10,e12) | e12 != e12 ),+% 219.06/219.19 inference(instantiation,[status(thm)],[c_239744]) ).+% 219.06/219.19 +% 219.12/219.23 cnf(c_3023443,plain,+% 219.12/219.23 ( op1(e10,e13) = e12 ),+% 219.12/219.23 inference(global_propositional_subsumption,+% 219.12/219.23 [status(thm)],+% 219.12/219.23 [c_12,c_254,c_196,c_16545,c_17310,c_239745,c_240223]) ).+% 219.12/219.23 +% 219.12/219.23 cnf(c_3023465,plain,+% 219.12/219.23 ( e12 = op1(e10,e13) ),+% 219.12/219.23 inference(resolution,[status(thm)],[c_3023443,c_3013688]) ).+% 219.12/219.23 +% 219.12/219.23 cnf(c_3055916,plain,+% 219.12/219.23 ( X0 != op1(e10,e13) | h3(X0) = h3(e12) ),+% 219.12/219.23 inference(resolution,[status(thm)],[c_3039293,c_3023465]) ).+% 219.12/219.23 +% 219.12/219.23 cnf(c_3013683,plain,+% 219.12/219.23 ( X0 != h3(e12) | e22 = X0 ),+% 219.12/219.23 inference(resolution,[status(thm)],[c_16532,c_269]) ).+% 219.12/219.23 +% 219.12/219.23 cnf(c_3256595,plain,+% 219.12/219.23 ( X0 != op1(e10,e13) | e22 = h3(X0) ),+% 219.12/219.23 inference(resolution,[status(thm)],[c_3055916,c_3013683]) ).+% 219.12/219.23 +% 219.12/219.23 cnf(c_3257958,plain,+% 219.12/219.23 ( e22 = h3(op1(e10,e13)) ),+% 219.12/219.23 inference(resolution,[status(thm)],[c_3256595,c_16531]) ).+% 219.12/219.23 +% 219.12/219.23 cnf(c_3258062,plain,+% 219.12/219.23 ( h3(op1(e10,e13)) = e22 ),+% 219.12/219.23 inference(resolution,[status(thm)],[c_3257958,c_3013688]) ).+% 219.12/219.23 +% 219.12/219.23 cnf(c_3258074,plain,+% 219.12/219.23 ( X0 != e22 | h3(op1(e10,e13)) = X0 ),+% 219.12/219.23 inference(resolution,[status(thm)],[c_3258062,c_16532]) ).+% 219.12/219.23 +% 219.12/219.23 cnf(c_3258989,plain,+% 219.12/219.23 ( X0 = h3(op1(e10,e13)) | X0 != e22 ),+% 219.12/219.23 inference(resolution,[status(thm)],[c_3258074,c_3013688]) ).+% 219.12/219.23 +% 219.12/219.23 cnf(c_4187430,plain,+% 219.12/219.23 ( op2(h3(e10),h3(e11)) != e23+% 219.12/219.23 | op2(h3(e10),h3(e12)) != e21+% 219.12/219.23 | op2(h3(e10),h3(e13)) != e22+% 219.12/219.23 | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))+% 219.12/219.23 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 219.12/219.23 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 219.12/219.23 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 219.12/219.23 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 219.12/219.23 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.12/219.23 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.12/219.23 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.12/219.23 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.12/219.23 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.12/219.23 inference(resolution,[status(thm)],[c_4187398,c_3258989]) ).+% 219.12/219.23 +% 219.12/219.23 cnf(c_11,plain,+% 219.12/219.23 ( op1(e11,e10) = e11+% 219.12/219.23 | op1(e11,e10) = e12+% 219.12/219.23 | op1(e11,e10) = e13+% 219.12/219.23 | e10 = op1(e11,e10) ),+% 219.12/219.23 inference(cnf_transformation,[],[f64]) ).+% 219.12/219.23 +% 219.12/219.27 cnf(c_3023439,plain,+% 219.12/219.27 ( op1(e11,e10) = e13 ),+% 219.12/219.27 inference(global_propositional_subsumption,+% 219.12/219.27 [status(thm)],+% 219.12/219.27 [c_11,c_254,c_253,c_252,c_17013,c_18082,c_20243,c_23176,+% 219.12/219.27 c_27674,c_47043]) ).+% 219.12/219.27 +% 219.12/219.27 cnf(c_3023461,plain,+% 219.12/219.27 ( e13 = op1(e11,e10) ),+% 219.12/219.27 inference(resolution,[status(thm)],[c_3023439,c_3013688]) ).+% 219.12/219.27 +% 219.12/219.27 cnf(c_3055873,plain,+% 219.12/219.27 ( X0 != op1(e11,e10) | h3(X0) = h3(e13) ),+% 219.12/219.27 inference(resolution,[status(thm)],[c_3039293,c_3023461]) ).+% 219.12/219.27 +% 219.12/219.27 cnf(c_3569232,plain,+% 219.12/219.27 ( X0 != op1(e11,e10) | e23 = h3(X0) ),+% 219.12/219.27 inference(resolution,[status(thm)],[c_3567206,c_3055873]) ).+% 219.12/219.27 +% 219.12/219.27 cnf(c_3917467,plain,+% 219.12/219.27 ( e23 = h3(op1(e11,e10)) ),+% 219.12/219.27 inference(resolution,[status(thm)],[c_3569232,c_16531]) ).+% 219.12/219.27 +% 219.12/219.27 cnf(c_3917694,plain,+% 219.12/219.27 ( h3(op1(e11,e10)) = e23 ),+% 219.12/219.27 inference(resolution,[status(thm)],[c_3917467,c_3013688]) ).+% 219.12/219.27 +% 219.12/219.27 cnf(c_3917726,plain,+% 219.12/219.27 ( X0 != e23 | h3(op1(e11,e10)) = X0 ),+% 219.12/219.27 inference(resolution,[status(thm)],[c_3917694,c_16532]) ).+% 219.12/219.27 +% 219.12/219.27 cnf(c_4067885,plain,+% 219.12/219.27 ( X0 = h3(op1(e11,e10)) | X0 != e23 ),+% 219.12/219.27 inference(resolution,[status(thm)],[c_3917726,c_3013688]) ).+% 219.12/219.27 +% 219.12/219.27 cnf(c_4189812,plain,+% 219.12/219.27 ( op2(h3(e10),h3(e11)) != e23+% 219.12/219.27 | op2(h3(e10),h3(e12)) != e21+% 219.12/219.27 | op2(h3(e10),h3(e13)) != e22+% 219.12/219.27 | op2(h3(e11),h3(e10)) != e23+% 219.12/219.27 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 219.12/219.27 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 219.12/219.27 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 219.12/219.27 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 219.12/219.27 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.12/219.27 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.12/219.27 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.12/219.27 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.12/219.27 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.12/219.27 inference(resolution,[status(thm)],[c_4187430,c_4067885]) ).+% 219.12/219.27 +% 219.12/219.27 cnf(c_23524,plain,+% 219.12/219.27 ( h3(e11) = h3(e11) ),+% 219.12/219.27 inference(instantiation,[status(thm)],[c_16531]) ).+% 219.12/219.27 +% 219.17/219.27 cnf(c_70740,plain,+% 219.17/219.27 ( X0 != X1 | h3(e11) != X1 | h3(e11) = X0 ),+% 219.17/219.27 inference(instantiation,[status(thm)],[c_16532]) ).+% 219.17/219.27 +% 219.17/219.27 cnf(c_79212,plain,+% 219.17/219.27 ( X0 != h3(e11) | h3(e11) = X0 | h3(e11) != h3(e11) ),+% 219.17/219.27 inference(instantiation,[status(thm)],[c_70740]) ).+% 219.17/219.27 +% 219.17/219.27 cnf(c_96573,plain,+% 219.17/219.27 ( op2(e22,op2(e22,e22)) != h3(e11)+% 219.17/219.27 | h3(e11) = op2(e22,op2(e22,e22))+% 219.17/219.27 | h3(e11) != h3(e11) ),+% 219.17/219.27 inference(instantiation,[status(thm)],[c_79212]) ).+% 219.17/219.27 +% 219.17/219.27 cnf(c_264014,plain,+% 219.17/219.27 ( X0 != op2(e22,op2(e22,e22))+% 219.17/219.27 | X1 != op2(e22,e22)+% 219.17/219.27 | op2(X0,X1) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 219.17/219.27 inference(instantiation,[status(thm)],[c_16534]) ).+% 219.17/219.27 +% 219.17/219.27 cnf(c_283539,plain,+% 219.17/219.27 ( X0 != op2(e22,op2(e22,e22))+% 219.17/219.27 | op2(X0,h3(e10)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 219.17/219.27 | h3(e10) != op2(e22,e22) ),+% 219.17/219.27 inference(instantiation,[status(thm)],[c_264014]) ).+% 219.17/219.27 +% 219.17/219.27 cnf(c_145035,plain,+% 219.17/219.27 ( X0 != op2(e22,op2(e22,e22))+% 219.17/219.27 | X1 != op2(e22,e22)+% 219.17/219.27 | op2(X0,X1) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 219.17/219.27 inference(instantiation,[status(thm)],[c_16534]) ).+% 219.17/219.27 +% 219.17/219.27 cnf(c_190698,plain,+% 219.17/219.27 ( X0 != op2(e22,op2(e22,e22))+% 219.17/219.27 | op2(X0,h3(e10)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 219.17/219.27 | h3(e10) != op2(e22,e22) ),+% 219.17/219.27 inference(instantiation,[status(thm)],[c_145035]) ).+% 219.17/219.27 +% 219.17/219.28 cnf(c_292055,plain,+% 219.17/219.28 ( op2(X0,h3(e10)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 219.17/219.28 | X0 != op2(e22,op2(e22,e22)) ),+% 219.17/219.28 inference(global_propositional_subsumption,+% 219.17/219.28 [status(thm)],+% 219.17/219.28 [c_283539,c_268,c_254,c_253,c_252,c_235,c_234,c_232,+% 219.17/219.28 c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,c_142,+% 219.17/219.28 c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,c_16545,+% 219.17/219.28 c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,c_17467,+% 219.17/219.28 c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,c_19289,+% 219.17/219.28 c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,+% 219.17/219.28 c_23125,c_23124,c_23181,c_23176,c_24269,c_27071,c_27668,+% 219.17/219.28 c_27673,c_27674,c_29140,c_29185,c_30252,c_31852,c_31860,+% 219.17/219.28 c_32730,c_35056,c_45564,c_45834,c_47043,c_49848,c_58695,+% 219.17/219.28 c_62414,c_66850,c_72084,c_93661,c_133487,c_133544,+% 219.17/219.28 c_137595,c_138028,c_142352,c_144212,c_190698,c_204646,+% 219.17/219.28 c_229253]) ).+% 219.17/219.28 +% 219.17/219.28 cnf(c_292056,plain,+% 219.17/219.28 ( X0 != op2(e22,op2(e22,e22))+% 219.17/219.28 | op2(X0,h3(e10)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 219.17/219.28 inference(renaming,[status(thm)],[c_292055]) ).+% 219.17/219.28 +% 219.17/219.28 cnf(c_297307,plain,+% 219.17/219.28 ( op2(h3(e11),h3(e10)) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 219.17/219.28 | h3(e11) != op2(e22,op2(e22,e22)) ),+% 219.17/219.28 inference(instantiation,[status(thm)],[c_292056]) ).+% 219.17/219.28 +% 219.17/219.28 cnf(c_258076,plain,+% 219.17/219.28 ( X0 != X1 | X0 = e23 | e23 != X1 ),+% 219.17/219.28 inference(instantiation,[status(thm)],[c_16532]) ).+% 219.17/219.28 +% 219.17/219.28 cnf(c_259606,plain,+% 219.17/219.28 ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 219.17/219.28 | X0 = e23+% 219.17/219.28 | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 219.17/219.28 inference(instantiation,[status(thm)],[c_258076]) ).+% 219.17/219.28 +% 219.17/219.28 cnf(c_18619,plain,+% 219.17/219.28 ( X0 != X1 | X0 = e23 | e23 != X1 ),+% 219.17/219.28 inference(instantiation,[status(thm)],[c_16532]) ).+% 219.17/219.28 +% 219.17/219.28 cnf(c_19266,plain,+% 219.17/219.28 ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 219.17/219.28 | X0 = e23+% 219.17/219.28 | e23 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 219.17/219.28 inference(instantiation,[status(thm)],[c_18619]) ).+% 219.17/219.28 +% 219.17/219.28 cnf(c_264431,plain,+% 219.17/219.28 ( X0 = e23 | X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),+% 219.17/219.28 inference(global_propositional_subsumption,+% 219.17/219.28 [status(thm)],+% 219.17/219.28 [c_259606,c_255,c_16905,c_18617,c_19266]) ).+% 219.17/219.28 +% 219.17/219.28 cnf(c_264432,plain,+% 219.17/219.28 ( X0 != op2(op2(e22,op2(e22,e22)),op2(e22,e22)) | X0 = e23 ),+% 219.17/219.28 inference(renaming,[status(thm)],[c_264431]) ).+% 219.17/219.28 +% 219.17/219.28 cnf(c_326315,plain,+% 219.17/219.28 ( op2(h3(e11),h3(e10)) != op2(op2(e22,op2(e22,e22)),op2(e22,e22))+% 219.17/219.28 | op2(h3(e11),h3(e10)) = e23 ),+% 219.17/219.28 inference(instantiation,[status(thm)],[c_264432]) ).+% 219.17/219.28 +% 219.17/219.33 cnf(c_4189814,plain,+% 219.17/219.33 ( op2(h3(e10),h3(e13)) != e22+% 219.17/219.33 | op2(h3(e10),h3(e12)) != e21+% 219.17/219.33 | op2(h3(e10),h3(e11)) != e23+% 219.17/219.33 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 219.17/219.33 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 219.17/219.33 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 219.17/219.33 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 219.17/219.33 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.17/219.33 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.17/219.33 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.17/219.33 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.17/219.33 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.17/219.33 inference(global_propositional_subsumption,+% 219.17/219.33 [status(thm)],+% 219.17/219.33 [c_4189812,c_267,c_23524,c_96573,c_297307,c_326315]) ).+% 219.17/219.33 +% 219.17/219.33 cnf(c_4189815,plain,+% 219.17/219.33 ( op2(h3(e10),h3(e11)) != e23+% 219.17/219.33 | op2(h3(e10),h3(e12)) != e21+% 219.17/219.33 | op2(h3(e10),h3(e13)) != e22+% 219.17/219.33 | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))+% 219.17/219.33 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 219.17/219.33 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 219.17/219.33 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 219.17/219.33 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.17/219.33 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.17/219.33 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.17/219.33 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.17/219.33 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.17/219.33 inference(renaming,[status(thm)],[c_4189814]) ).+% 219.17/219.33 +% 219.25/219.37 cnf(c_3023435,plain,+% 219.25/219.37 ( e10 = op1(e11,e11) ),+% 219.25/219.37 inference(global_propositional_subsumption,+% 219.25/219.37 [status(thm)],+% 219.25/219.37 [c_10,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_228,+% 219.25/219.37 c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,+% 219.25/219.37 c_139,c_135,c_134,c_132,c_128,c_126,c_124,c_123,c_120,+% 219.25/219.37 c_113,c_112,c_107,c_104,c_103,c_98,c_41,c_39,c_32,c_24,+% 219.25/219.37 c_23,c_12,c_6,c_16539,c_16545,c_16561,c_16603,c_16623,+% 219.25/219.37 c_16958,c_17013,c_17059,c_17146,c_17196,c_17224,c_17316,+% 219.25/219.37 c_17467,c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,+% 219.25/219.37 c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,+% 219.25/219.37 c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,+% 219.25/219.37 c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,+% 219.25/219.37 c_23176,c_24872,c_27071,c_27668,c_27669,c_27672,c_27673,+% 219.25/219.37 c_27674,c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,+% 219.25/219.37 c_31860,c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,+% 219.25/219.37 c_34859,c_35127,c_36527,c_45564,c_47043,c_49848,c_59901,+% 219.25/219.37 c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,c_75216,+% 219.25/219.37 c_75243,c_76700,c_133487,c_137595,c_137971,c_137988,+% 219.25/219.37 c_138028,c_138819,c_142352,c_144212,c_154058,c_157476,+% 219.25/219.37 c_162431,c_163528,c_178052,c_229618,c_229903,c_231889,+% 219.25/219.37 c_233740]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_3055759,plain,+% 219.25/219.37 ( X0 != op1(e11,e11) | h3(X0) = h3(e10) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_3039293,c_3023435]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_3013659,plain,+% 219.25/219.37 ( X0 != op2(e22,e22) | e20 = X0 ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_16532,c_257]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_3013721,plain,+% 219.25/219.37 ( h3(e10) = op2(e22,e22) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_3013688,c_268]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_3023703,plain,+% 219.25/219.37 ( e20 = h3(e10) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_3013659,c_3013721]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_3023707,plain,+% 219.25/219.37 ( X0 != h3(e10) | e20 = X0 ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_3023703,c_16532]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_3190709,plain,+% 219.25/219.37 ( X0 != op1(e11,e11) | e20 = h3(X0) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_3055759,c_3023707]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_3251814,plain,+% 219.25/219.37 ( e20 = h3(op1(e11,e11)) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_3190709,c_16531]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_3251909,plain,+% 219.25/219.37 ( h3(op1(e11,e11)) = e20 ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_3251814,c_3013688]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_3251921,plain,+% 219.25/219.37 ( X0 != e20 | h3(op1(e11,e11)) = X0 ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_3251909,c_16532]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_3252153,plain,+% 219.25/219.37 ( X0 = h3(op1(e11,e11)) | X0 != e20 ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_3251921,c_3013688]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_4189868,plain,+% 219.25/219.37 ( op2(h3(e10),h3(e11)) != e23+% 219.25/219.37 | op2(h3(e10),h3(e12)) != e21+% 219.25/219.37 | op2(h3(e10),h3(e13)) != e22+% 219.25/219.37 | op2(h3(e11),h3(e11)) != e20+% 219.25/219.37 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 219.25/219.37 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 219.25/219.37 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 219.25/219.37 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.25/219.37 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.25/219.37 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.25/219.37 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.25/219.37 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_4189815,c_3252153]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2037717,plain,+% 219.25/219.37 ( X0 != h3(e10) | op2(e22,e22) = X0 ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_16532,c_268]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2037723,plain,+% 219.25/219.37 ( X0 != X1 | X1 = X0 ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_16532,c_16531]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2062926,plain,+% 219.25/219.37 ( X0 = op2(e22,e22) | X0 != h3(e10) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_2037717,c_2037723]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2065419,plain,+% 219.25/219.37 ( X0 = X1 | X1 != op2(e22,e22) | X0 != h3(e10) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_2062926,c_16532]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2037748,plain,+% 219.25/219.37 ( h1(e10) = op2(e20,e20) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_2037723,c_260]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2037794,plain,+% 219.25/219.37 ( X0 != op2(e20,e20) | h1(e10) = X0 ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_2037748,c_16532]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2037694,plain,+% 219.25/219.37 ( X0 != op2(e22,e22) | e20 = X0 ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_16532,c_257]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2037756,plain,+% 219.25/219.37 ( h3(e10) = op2(e22,e22) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_2037723,c_268]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2047784,plain,+% 219.25/219.37 ( e20 = h3(e10) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_2037694,c_2037756]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2047787,plain,+% 219.25/219.37 ( h3(e10) = e20 ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_2047784,c_2037723]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2047792,plain,+% 219.25/219.37 ( X0 != e20 | h3(e10) = X0 ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_2047787,c_16532]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_2078636,plain,+% 219.25/219.37 ( op2(e20,e20) != e20 | h1(e10) = h3(e10) ),+% 219.25/219.37 inference(resolution,[status(thm)],[c_2037794,c_2047792]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_769825,plain,+% 219.25/219.37 ( X0 != X1 | h1(e10) != X1 | h1(e10) = X0 ),+% 219.25/219.37 inference(instantiation,[status(thm)],[c_16532]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_786906,plain,+% 219.25/219.37 ( X0 != e20 | h1(e10) = X0 | h1(e10) != e20 ),+% 219.25/219.37 inference(instantiation,[status(thm)],[c_769825]) ).+% 219.25/219.37 +% 219.25/219.37 cnf(c_128707,plain,+% 219.25/219.37 ( X0 != e20 | h1(e10) = X0 | h1(e10) != e20 ),+% 219.25/219.37 inference(instantiation,[status(thm)],[c_69838]) ).+% 219.25/219.37 +% 219.28/219.39 cnf(c_786907,plain,+% 219.28/219.39 ( h1(e10) = X0 | X0 != e20 ),+% 219.28/219.39 inference(global_propositional_subsumption,+% 219.28/219.39 [status(thm)],+% 219.28/219.39 [c_786906,c_260,c_257,c_256,c_255,c_203,c_191,c_190,+% 219.28/219.39 c_155,c_153,c_77,c_63,c_17349,c_17350,c_17427,c_17431,+% 219.28/219.39 c_17554,c_21159,c_21422,c_22470,c_23192,c_26105,c_26103,+% 219.28/219.39 c_26610,c_33893,c_34088,c_36100,c_38580,c_39778,c_59360,+% 219.28/219.39 c_111680,c_128707,c_255252]) ).+% 219.28/219.39 +% 219.28/219.39 cnf(c_786908,plain,+% 219.28/219.39 ( X0 != e20 | h1(e10) = X0 ),+% 219.28/219.39 inference(renaming,[status(thm)],[c_786907]) ).+% 219.28/219.39 +% 219.28/219.39 cnf(c_816754,plain,+% 219.28/219.39 ( h3(e10) != e20 | h1(e10) = h3(e10) ),+% 219.28/219.39 inference(instantiation,[status(thm)],[c_786908]) ).+% 219.28/219.39 +% 219.28/219.42 cnf(c_2320512,plain,+% 219.28/219.42 ( h1(e10) = h3(e10) ),+% 219.28/219.42 inference(global_propositional_subsumption,+% 219.28/219.42 [status(thm)],+% 219.28/219.42 [c_2078636,c_268,c_257,c_254,c_253,c_252,c_235,c_234,+% 219.28/219.42 c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,+% 219.28/219.42 c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,+% 219.28/219.42 c_16545,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,+% 219.28/219.42 c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,+% 219.28/219.42 c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,+% 219.28/219.42 c_21699,c_23054,c_23125,c_23124,c_23181,c_23176,c_24269,+% 219.28/219.42 c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,+% 219.28/219.42 c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,+% 219.28/219.42 c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,+% 219.28/219.42 c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,+% 219.28/219.42 c_204646,c_229253,c_816754]) ).+% 219.28/219.42 +% 219.28/219.42 cnf(c_2320521,plain,+% 219.28/219.42 ( X0 != h3(e10) | h1(e10) = X0 ),+% 219.28/219.42 inference(resolution,[status(thm)],[c_2320512,c_16532]) ).+% 219.28/219.42 +% 219.28/219.42 cnf(c_17476,plain,+% 219.28/219.42 ( e20 != op2(e23,e21) | e20 = e23 | e23 != op2(e23,e21) ),+% 219.28/219.42 inference(instantiation,[status(thm)],[c_16751]) ).+% 219.28/219.42 +% 219.28/219.42 cnf(c_19335,plain,+% 219.28/219.42 ( op2(e23,e21) != e23 | e23 = op2(e23,e21) | e23 != e23 ),+% 219.28/219.42 inference(instantiation,[status(thm)],[c_17391]) ).+% 219.28/219.42 +% 219.28/219.42 cnf(c_225188,plain,+% 219.28/219.42 ( e20 = op2(e20,e21) | e20 = op2(e21,e21) ),+% 219.28/219.42 inference(global_propositional_subsumption,+% 219.28/219.42 [status(thm)],+% 219.28/219.42 [c_86,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,+% 219.28/219.42 c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,+% 219.28/219.42 c_176,c_166,c_164,c_155,c_153,c_152,c_95,c_90,c_88,c_87,+% 219.28/219.42 c_77,c_61,c_1865,c_16905,c_17261,c_17300,c_17335,+% 219.28/219.42 c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,c_17740,+% 219.28/219.42 c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,c_19094,+% 219.28/219.42 c_19246,c_19335,c_19346,c_19400,c_20804,c_20955,c_21017,+% 219.28/219.42 c_21045,c_21159,c_21422,c_21762,c_22510,c_23147,c_23671,+% 219.28/219.42 c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,+% 219.28/219.42 c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,c_34088,+% 219.28/219.42 c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,+% 219.28/219.42 c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,c_68261,+% 219.28/219.42 c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,+% 219.28/219.42 c_99363,c_102572,c_107767,c_107924,c_112325,c_115073,+% 219.28/219.42 c_138084,c_149258,c_149600,c_159160,c_159167]) ).+% 219.28/219.42 +% 219.28/219.43 cnf(c_231091,plain,+% 219.28/219.43 ( e20 = op2(e20,e21) | e20 = op2(e21,e21) ),+% 219.28/219.43 inference(global_propositional_subsumption,+% 219.28/219.43 [status(thm)],+% 219.28/219.43 [c_86,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,+% 219.28/219.43 c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,+% 219.28/219.43 c_176,c_166,c_164,c_155,c_153,c_152,c_95,c_90,c_88,c_87,+% 219.28/219.43 c_77,c_61,c_1865,c_16905,c_17261,c_17300,c_17335,+% 219.28/219.43 c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,c_17740,+% 219.28/219.43 c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,c_19094,+% 219.28/219.43 c_19246,c_19335,c_19346,c_19400,c_20804,c_20955,c_21017,+% 219.28/219.43 c_21045,c_21159,c_21422,c_21762,c_22510,c_23147,c_23671,+% 219.28/219.43 c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,c_27939,+% 219.28/219.43 c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,c_34088,+% 219.28/219.43 c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,c_39126,+% 219.28/219.43 c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,c_68261,+% 219.28/219.43 c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,+% 219.28/219.43 c_99363,c_102572,c_107767,c_107924,c_112325,c_115073,+% 219.28/219.43 c_138084,c_149258,c_149600,c_159160,c_159167]) ).+% 219.28/219.43 +% 219.28/219.43 cnf(c_239055,plain,+% 219.28/219.43 ( X0 != op2(e20,e21) | X0 = e20 | e20 = op2(e21,e21) ),+% 219.28/219.43 inference(resolution,[status(thm)],[c_231091,c_16532]) ).+% 219.28/219.43 +% 219.28/219.43 cnf(c_251679,plain,+% 219.28/219.43 ( op2(e20,e21) = e20 | e20 = op2(e21,e21) ),+% 219.28/219.43 inference(resolution,[status(thm)],[c_239055,c_16531]) ).+% 219.28/219.43 +% 219.35/219.45 cnf(c_2048521,plain,+% 219.35/219.45 ( e20 = op2(e21,e21) ),+% 219.35/219.45 inference(global_propositional_subsumption,+% 219.35/219.45 [status(thm)],+% 219.35/219.45 [c_58,c_257,c_256,c_255,c_203,c_191,c_190,c_167,c_155,+% 219.35/219.45 c_153,c_77,c_63,c_17349,c_17350,c_17427,c_17431,c_17554,+% 219.35/219.45 c_17816,c_21159,c_21422,c_22470,c_26105,c_26103,c_26610,+% 219.35/219.45 c_28292,c_33893,c_34088,c_36100,c_38580,c_39778,c_88489,+% 219.35/219.45 c_251679,c_255252]) ).+% 219.35/219.45 +% 219.35/219.45 cnf(c_2048544,plain,+% 219.35/219.45 ( X0 != op2(e21,e21) | e20 = X0 ),+% 219.35/219.45 inference(resolution,[status(thm)],[c_2048521,c_16532]) ).+% 219.35/219.45 +% 219.35/219.45 cnf(c_264,plain,+% 219.35/219.45 ( op2(e21,e21) = h2(e10) ),+% 219.35/219.45 inference(cnf_transformation,[],[f323]) ).+% 219.35/219.45 +% 219.35/219.45 cnf(c_2037752,plain,+% 219.35/219.45 ( h2(e10) = op2(e21,e21) ),+% 219.35/219.45 inference(resolution,[status(thm)],[c_2037723,c_264]) ).+% 219.35/219.45 +% 219.35/219.45 cnf(c_2064126,plain,+% 219.35/219.45 ( e20 = h2(e10) ),+% 219.35/219.45 inference(resolution,[status(thm)],[c_2048544,c_2037752]) ).+% 219.35/219.45 +% 219.35/219.45 cnf(c_2064130,plain,+% 219.35/219.45 ( h2(e10) = e20 ),+% 219.35/219.45 inference(resolution,[status(thm)],[c_2064126,c_2037723]) ).+% 219.35/219.45 +% 219.35/219.45 cnf(c_2064136,plain,+% 219.35/219.45 ( X0 != e20 | h2(e10) = X0 ),+% 219.35/219.45 inference(resolution,[status(thm)],[c_2064130,c_16532]) ).+% 219.35/219.45 +% 219.35/219.45 cnf(c_2320597,plain,+% 219.35/219.45 ( h3(e10) != e20 | h1(e10) = h2(e10) ),+% 219.35/219.45 inference(resolution,[status(thm)],[c_2320521,c_2064136]) ).+% 219.35/219.45 +% 219.35/219.46 cnf(c_271552,plain,+% 219.35/219.46 ( op2(e22,e21) = e22 ),+% 219.35/219.46 inference(global_propositional_subsumption,+% 219.35/219.46 [status(thm)],+% 219.35/219.46 [c_54,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,+% 219.35/219.46 c_187,c_155,c_153,c_149,c_90,c_88,c_77,c_16905,c_17291,+% 219.35/219.46 c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,+% 219.35/219.46 c_19346,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,+% 219.35/219.46 c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,+% 219.35/219.46 c_38896,c_39778,c_49003,c_51437,c_68975,c_68974,c_95072,+% 219.35/219.46 c_102572,c_112325,c_240038,c_255252]) ).+% 219.35/219.46 +% 219.35/219.46 cnf(c_271572,plain,+% 219.35/219.46 ( X0 = op2(e22,e21) | X0 != e22 ),+% 219.35/219.46 inference(resolution,[status(thm)],[c_271552,c_16532]) ).+% 219.35/219.46 +% 219.35/219.46 cnf(c_271692,plain,+% 219.35/219.46 ( op2(e21,e21) != e22 ),+% 219.35/219.46 inference(resolution,[status(thm)],[c_271572,c_182]) ).+% 219.35/219.46 +% 219.35/219.46 cnf(c_19332,plain,+% 219.35/219.46 ( op2(e23,e21) = op2(e23,e22)+% 219.35/219.46 | op2(e23,e21) != e23+% 219.35/219.46 | op2(e23,e22) != e23 ),+% 219.35/219.46 inference(instantiation,[status(thm)],[c_16646]) ).+% 219.35/219.46 +% 219.35/219.47 cnf(c_271479,plain,+% 219.35/219.47 ( op2(e23,e21) = e21 ),+% 219.35/219.47 inference(global_propositional_subsumption,+% 219.35/219.47 [status(thm)],+% 219.35/219.47 [c_50,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,+% 219.35/219.47 c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,+% 219.35/219.47 c_176,c_166,c_164,c_155,c_153,c_149,c_146,c_95,c_90,+% 219.35/219.47 c_88,c_87,c_77,c_61,c_1865,c_16905,c_17261,c_17291,+% 219.35/219.47 c_17300,c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,+% 219.35/219.47 c_17740,c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,+% 219.35/219.47 c_19094,c_19246,c_19332,c_19335,c_19346,c_19400,c_20804,+% 219.35/219.47 c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_23147,+% 219.35/219.47 c_23671,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,+% 219.35/219.47 c_27939,c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,+% 219.35/219.47 c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,+% 219.35/219.47 c_39126,c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,+% 219.35/219.47 c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,+% 219.35/219.47 c_99363,c_102572,c_107767,c_107924,c_112325,c_113093,+% 219.35/219.47 c_115073,c_138084,c_149258,c_149600,c_159160,c_159167,+% 219.35/219.47 c_178764,c_225198,c_247675,c_255252]) ).+% 219.35/219.47 +% 219.35/219.47 cnf(c_271491,plain,+% 219.35/219.47 ( X0 = op2(e23,e21) | X0 != e21 ),+% 219.35/219.47 inference(resolution,[status(thm)],[c_271479,c_16532]) ).+% 219.35/219.47 +% 219.35/219.47 cnf(c_271611,plain,+% 219.35/219.47 ( op2(e21,e21) != e21 ),+% 219.35/219.47 inference(resolution,[status(thm)],[c_271491,c_181]) ).+% 219.35/219.47 +% 219.35/219.47 cnf(c_271620,plain,+% 219.35/219.47 ( op2(e21,e21) = e22 | op2(e21,e21) = e23 | e20 = op2(e21,e21) ),+% 219.35/219.47 inference(backward_subsumption_resolution,+% 219.35/219.47 [status(thm)],+% 219.35/219.47 [c_271611,c_58]) ).+% 219.35/219.47 +% 219.35/219.47 cnf(c_271697,plain,+% 219.35/219.47 ( op2(e21,e21) = e23 | e20 = op2(e21,e21) ),+% 219.35/219.47 inference(backward_subsumption_resolution,+% 219.35/219.47 [status(thm)],+% 219.35/219.47 [c_271692,c_271620]) ).+% 219.35/219.47 +% 219.35/219.47 cnf(c_271815,plain,+% 219.35/219.47 ( e20 = op2(e21,e21) ),+% 219.35/219.47 inference(global_propositional_subsumption,+% 219.35/219.47 [status(thm)],+% 219.35/219.47 [c_271697,c_257,c_256,c_255,c_203,c_191,c_190,c_167,+% 219.35/219.47 c_155,c_153,c_77,c_63,c_17349,c_17350,c_17427,c_17431,+% 219.35/219.47 c_17554,c_17816,c_21159,c_21422,c_22470,c_26105,c_26103,+% 219.35/219.47 c_26610,c_28292,c_33893,c_34088,c_36100,c_38580,c_39778,+% 219.35/219.47 c_88489,c_251679,c_255252]) ).+% 219.35/219.47 +% 219.35/219.47 cnf(c_271821,plain,+% 219.35/219.47 ( X0 != op2(e21,e21) | X0 = e20 ),+% 219.35/219.47 inference(resolution,[status(thm)],[c_271815,c_16532]) ).+% 219.35/219.47 +% 219.35/219.47 cnf(c_262100,plain,+% 219.35/219.47 ( X0 = op2(e21,e21) | X0 != h2(e10) ),+% 219.35/219.47 inference(resolution,[status(thm)],[c_16532,c_264]) ).+% 219.35/219.47 +% 219.35/219.47 cnf(c_271829,plain,+% 219.35/219.47 ( X0 != h2(e10) | X0 = e20 ),+% 219.35/219.47 inference(resolution,[status(thm)],[c_271821,c_262100]) ).+% 219.35/219.47 +% 219.35/219.47 cnf(c_271838,plain,+% 219.35/219.47 ( h2(e10) = e20 ),+% 219.35/219.47 inference(resolution,[status(thm)],[c_271829,c_16531]) ).+% 219.35/219.47 +% 219.35/219.47 cnf(c_816764,plain,+% 219.35/219.47 ( h2(e10) != e20 | h1(e10) = h2(e10) ),+% 219.35/219.47 inference(instantiation,[status(thm)],[c_786908]) ).+% 219.35/219.47 +% 219.35/219.50 cnf(c_2321779,plain,+% 219.35/219.50 ( h1(e10) = h2(e10) ),+% 219.35/219.50 inference(global_propositional_subsumption,+% 219.35/219.50 [status(thm)],+% 219.35/219.50 [c_2320597,c_271838,c_816764]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2320520,plain,+% 219.35/219.50 ( h3(e10) = h1(e10) ),+% 219.35/219.50 inference(resolution,[status(thm)],[c_2320512,c_2037723]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2320537,plain,+% 219.35/219.50 ( X0 != h1(e10) | h3(e10) = X0 ),+% 219.35/219.50 inference(resolution,[status(thm)],[c_2320520,c_16532]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2037713,plain,+% 219.35/219.50 ( X0 != h2(e10) | op2(e21,e21) = X0 ),+% 219.35/219.50 inference(resolution,[status(thm)],[c_16532,c_264]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2320870,plain,+% 219.35/219.50 ( h3(e10) = op2(e21,e21) | h1(e10) != h2(e10) ),+% 219.35/219.50 inference(resolution,[status(thm)],[c_2320537,c_2037713]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2321786,plain,+% 219.35/219.50 ( h3(e10) = op2(e21,e21) ),+% 219.35/219.50 inference(backward_subsumption_resolution,+% 219.35/219.50 [status(thm)],+% 219.35/219.50 [c_2321779,c_2320870]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2321853,plain,+% 219.35/219.50 ( op2(e21,e21) = h3(e10) ),+% 219.35/219.50 inference(resolution,[status(thm)],[c_2321786,c_2037723]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2037798,plain,+% 219.35/219.50 ( X0 != op2(e21,e21) | h2(e10) = X0 ),+% 219.35/219.50 inference(resolution,[status(thm)],[c_2037752,c_16532]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2078696,plain,+% 219.35/219.50 ( op2(e21,e21) != h3(e10) | h2(e10) = op2(e22,e22) ),+% 219.35/219.50 inference(resolution,[status(thm)],[c_2037798,c_2037717]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2321947,plain,+% 219.35/219.50 ( h2(e10) = op2(e22,e22) ),+% 219.35/219.50 inference(backward_subsumption_resolution,+% 219.35/219.50 [status(thm)],+% 219.35/219.50 [c_2321853,c_2078696]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2592862,plain,+% 219.35/219.50 ( X0 != h3(e10) | X0 = h2(e10) ),+% 219.35/219.50 inference(resolution,[status(thm)],[c_2065419,c_2321947]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2037726,plain,+% 219.35/219.50 ( X0 != X1 | X2 != h3(X1) | h3(X0) = X2 ),+% 219.35/219.50 inference(resolution,[status(thm)],[c_16532,c_16537]) ).+% 219.35/219.50 +% 219.35/219.50 cnf(c_2063793,plain,+% 219.35/219.50 ( X0 != X1 | X2 != X1 | h3(X0) = h3(X2) ),+% 219.35/219.50 inference(resolution,[status(thm)],[c_2037726,c_16537]) ).+% 219.35/219.50 +% 219.41/219.53 cnf(c_2047524,plain,+% 219.41/219.53 ( e10 = op1(e11,e11) ),+% 219.41/219.53 inference(global_propositional_subsumption,+% 219.41/219.53 [status(thm)],+% 219.41/219.53 [c_10,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_228,+% 219.41/219.53 c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,+% 219.41/219.53 c_139,c_135,c_134,c_132,c_128,c_126,c_124,c_123,c_120,+% 219.41/219.53 c_113,c_112,c_107,c_104,c_103,c_98,c_41,c_39,c_32,c_24,+% 219.41/219.53 c_23,c_12,c_6,c_16539,c_16545,c_16561,c_16603,c_16623,+% 219.41/219.53 c_16958,c_17013,c_17059,c_17146,c_17196,c_17224,c_17316,+% 219.41/219.53 c_17467,c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,+% 219.41/219.53 c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,+% 219.41/219.53 c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,+% 219.41/219.53 c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,+% 219.41/219.53 c_23176,c_24872,c_27071,c_27668,c_27669,c_27672,c_27673,+% 219.41/219.53 c_27674,c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,+% 219.41/219.53 c_31860,c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,+% 219.41/219.53 c_34859,c_35127,c_36527,c_45564,c_47043,c_49848,c_59901,+% 219.41/219.53 c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,c_75216,+% 219.41/219.53 c_75243,c_76700,c_133487,c_137595,c_137971,c_137988,+% 219.41/219.53 c_138028,c_138819,c_142352,c_144212,c_154058,c_157476,+% 219.41/219.53 c_162431,c_163528,c_178052,c_229618,c_229903,c_231889,+% 219.41/219.53 c_233740]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_2080144,plain,+% 219.41/219.53 ( X0 != op1(e11,e11) | h3(X0) = h3(e10) ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_2063793,c_2047524]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_2047788,plain,+% 219.41/219.53 ( X0 != h3(e10) | e20 = X0 ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_2047784,c_16532]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_2215964,plain,+% 219.41/219.53 ( X0 != op1(e11,e11) | e20 = h3(X0) ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_2080144,c_2047788]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_2278817,plain,+% 219.41/219.53 ( e20 = h3(op1(e11,e11)) ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_2215964,c_16531]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_2278912,plain,+% 219.41/219.53 ( h3(op1(e11,e11)) = e20 ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_2278817,c_2037723]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_2278924,plain,+% 219.41/219.53 ( X0 != e20 | h3(op1(e11,e11)) = X0 ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_2278912,c_16532]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_2627800,plain,+% 219.41/219.53 ( h3(op1(e11,e11)) = h2(e10) | h3(e10) != e20 ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_2592862,c_2278924]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_3013678,plain,+% 219.41/219.53 ( X0 != h2(e10) | op2(e21,e21) = X0 ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_16532,c_264]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_3038294,plain,+% 219.41/219.53 ( X0 = op2(e21,e21) | X0 != h2(e10) ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_3013678,c_3013688]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_3013887,plain,+% 219.41/219.53 ( X0 != X1 | X2 != X3 | X4 != op2(X1,X3) | op2(X0,X2) = X4 ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_16534,c_16532]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_3040833,plain,+% 219.41/219.53 ( X0 != h2(e10) | X1 != e21 | X2 != e21 | op2(X1,X2) = X0 ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_3038294,c_3013887]) ).+% 219.41/219.53 +% 219.41/219.53 cnf(c_4189865,plain,+% 219.41/219.53 ( op2(h3(e10),h3(e11)) != e23+% 219.41/219.53 | op2(h3(e10),h3(e12)) != e21+% 219.41/219.53 | op2(h3(e10),h3(e13)) != e22+% 219.41/219.53 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 219.41/219.53 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 219.41/219.53 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 219.41/219.53 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.41/219.53 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.41/219.53 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.41/219.53 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.41/219.53 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 219.41/219.53 | h3(op1(e11,e11)) != h2(e10)+% 219.41/219.53 | h3(e11) != e21 ),+% 219.41/219.53 inference(resolution,[status(thm)],[c_4189815,c_3040833]) ).+% 219.41/219.53 +% 219.46/219.58 cnf(c_4189870,plain,+% 219.46/219.58 ( op2(h3(e10),h3(e13)) != e22+% 219.46/219.58 | op2(h3(e10),h3(e12)) != e21+% 219.46/219.58 | op2(h3(e10),h3(e11)) != e23+% 219.46/219.58 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 219.46/219.58 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 219.46/219.58 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 219.46/219.58 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.46/219.58 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.46/219.58 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.46/219.58 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.46/219.58 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.46/219.58 inference(global_propositional_subsumption,+% 219.46/219.58 [status(thm)],+% 219.46/219.58 [c_4189868,c_268,c_257,c_254,c_253,c_252,c_235,c_234,+% 219.46/219.58 c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,+% 219.46/219.58 c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,+% 219.46/219.58 c_16545,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,+% 219.46/219.58 c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,+% 219.46/219.58 c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,+% 219.46/219.58 c_21699,c_23054,c_23125,c_23124,c_23181,c_23176,c_24269,+% 219.46/219.58 c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,+% 219.46/219.58 c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,+% 219.46/219.58 c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,+% 219.46/219.58 c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,+% 219.46/219.58 c_204646,c_229253,c_230430,c_2627800,c_4189865]) ).+% 219.46/219.58 +% 219.46/219.58 cnf(c_4189871,plain,+% 219.46/219.58 ( op2(h3(e10),h3(e11)) != e23+% 219.46/219.58 | op2(h3(e10),h3(e12)) != e21+% 219.46/219.58 | op2(h3(e10),h3(e13)) != e22+% 219.46/219.58 | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))+% 219.46/219.58 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 219.46/219.58 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 219.46/219.58 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.46/219.58 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.46/219.58 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.46/219.58 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.46/219.58 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.46/219.58 inference(renaming,[status(thm)],[c_4189870]) ).+% 219.46/219.58 +% 219.46/219.58 cnf(c_9,plain,+% 219.46/219.58 ( op1(e11,e12) = e11+% 219.46/219.58 | op1(e11,e12) = e12+% 219.46/219.58 | op1(e11,e12) = e13+% 219.46/219.58 | e10 = op1(e11,e12) ),+% 219.46/219.58 inference(cnf_transformation,[],[f66]) ).+% 219.46/219.58 +% 219.46/219.58 cnf(c_100,plain,+% 219.46/219.58 ( op1(e13,e10) != op1(e13,e12) ),+% 219.46/219.58 inference(cnf_transformation,[],[f199]) ).+% 219.46/219.58 +% 219.46/219.58 cnf(c_16554,plain,+% 219.46/219.58 ( op1(e13,e10) != X0+% 219.46/219.58 | op1(e13,e10) = op1(e13,e12)+% 219.46/219.58 | op1(e13,e12) != X0 ),+% 219.46/219.58 inference(instantiation,[status(thm)],[c_16532]) ).+% 219.46/219.58 +% 219.46/219.58 cnf(c_16555,plain,+% 219.46/219.58 ( op1(e13,e10) = op1(e13,e12)+% 219.46/219.58 | op1(e13,e10) != e12+% 219.46/219.58 | op1(e13,e12) != e12 ),+% 219.46/219.58 inference(instantiation,[status(thm)],[c_16554]) ).+% 219.46/219.58 +% 219.46/219.58 cnf(c_229814,plain,+% 219.46/219.58 ( op1(e10,e12) = e12 | op1(e11,e12) = e12 ),+% 219.46/219.58 inference(global_propositional_subsumption,+% 219.46/219.58 [status(thm)],+% 219.46/219.58 [c_26,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,+% 219.46/219.58 c_224,c_221,c_196,c_195,c_194,c_192,c_140,c_139,c_128,+% 219.46/219.58 c_126,c_100,c_42,c_39,c_23,c_16539,c_16545,c_16555,+% 219.46/219.58 c_16958,c_17013,c_17146,c_17224,c_17310,c_17316,c_17467,+% 219.46/219.58 c_17675,c_17685,c_18082,c_18107,c_18166,c_18206,c_19311,+% 219.46/219.58 c_20081,c_20113,c_20238,c_20243,c_20396,c_20440,c_21221,+% 219.46/219.58 c_23054,c_23125,c_23124,c_23181,c_23176,c_27071,c_27668,+% 219.46/219.58 c_27673,c_27674,c_29140,c_29185,c_30493,c_31852,c_31860,+% 219.46/219.58 c_32730,c_36462,c_45564,c_47043,c_49848,c_62391,c_62414,+% 219.46/219.58 c_66850,c_72084,c_133487,c_133544,c_137595,c_138028,+% 219.46/219.58 c_142352,c_144212,c_204646,c_229253]) ).+% 219.46/219.58 +% 219.46/219.58 cnf(c_229881,plain,+% 219.46/219.58 ( X0 = op1(e10,e12) | X0 != e12 | op1(e11,e12) = e12 ),+% 219.46/219.58 inference(resolution,[status(thm)],[c_229814,c_16532]) ).+% 219.46/219.58 +% 219.46/219.58 cnf(c_229882,plain,+% 219.46/219.58 ( op1(e11,e12) = e12 | e12 = op1(e10,e12) | e12 != e12 ),+% 219.46/219.58 inference(instantiation,[status(thm)],[c_229881]) ).+% 219.46/219.58 +% 219.46/219.62 cnf(c_3023431,plain,+% 219.46/219.62 ( op1(e11,e12) = e12 ),+% 219.46/219.62 inference(global_propositional_subsumption,+% 219.46/219.62 [status(thm)],+% 219.46/219.62 [c_9,c_254,c_196,c_16545,c_17310,c_229882,c_240223]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_3023453,plain,+% 219.46/219.62 ( e12 = op1(e11,e12) ),+% 219.46/219.62 inference(resolution,[status(thm)],[c_3023431,c_3013688]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_3055867,plain,+% 219.46/219.62 ( X0 != op1(e11,e12) | h3(X0) = h3(e12) ),+% 219.46/219.62 inference(resolution,[status(thm)],[c_3039293,c_3023453]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_3253477,plain,+% 219.46/219.62 ( X0 != op1(e11,e12) | e22 = h3(X0) ),+% 219.46/219.62 inference(resolution,[status(thm)],[c_3055867,c_3013683]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_3253657,plain,+% 219.46/219.62 ( e22 = h3(op1(e11,e12)) ),+% 219.46/219.62 inference(resolution,[status(thm)],[c_3253477,c_16531]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_3253755,plain,+% 219.46/219.62 ( h3(op1(e11,e12)) = e22 ),+% 219.46/219.62 inference(resolution,[status(thm)],[c_3253657,c_3013688]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_3253767,plain,+% 219.46/219.62 ( X0 != e22 | h3(op1(e11,e12)) = X0 ),+% 219.46/219.62 inference(resolution,[status(thm)],[c_3253755,c_16532]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_3254875,plain,+% 219.46/219.62 ( X0 = h3(op1(e11,e12)) | X0 != e22 ),+% 219.46/219.62 inference(resolution,[status(thm)],[c_3253767,c_3013688]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_4189920,plain,+% 219.46/219.62 ( op2(h3(e10),h3(e11)) != e23+% 219.46/219.62 | op2(h3(e10),h3(e12)) != e21+% 219.46/219.62 | op2(h3(e10),h3(e13)) != e22+% 219.46/219.62 | op2(h3(e11),h3(e12)) != e22+% 219.46/219.62 | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))+% 219.46/219.62 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 219.46/219.62 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.46/219.62 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.46/219.62 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.46/219.62 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.46/219.62 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.46/219.62 inference(resolution,[status(thm)],[c_4189871,c_3254875]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_8,plain,+% 219.46/219.62 ( op1(e11,e13) = e11+% 219.46/219.62 | op1(e11,e13) = e12+% 219.46/219.62 | op1(e11,e13) = e13+% 219.46/219.62 | e10 = op1(e11,e13) ),+% 219.46/219.62 inference(cnf_transformation,[],[f67]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_108,plain,+% 219.46/219.62 ( op1(e11,e12) != op1(e11,e13) ),+% 219.46/219.62 inference(cnf_transformation,[],[f191]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_16570,plain,+% 219.46/219.62 ( op1(e11,e12) != X0+% 219.46/219.62 | op1(e11,e12) = op1(e11,e13)+% 219.46/219.62 | op1(e11,e13) != X0 ),+% 219.46/219.62 inference(instantiation,[status(thm)],[c_16532]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_16571,plain,+% 219.46/219.62 ( op1(e11,e12) = op1(e11,e13)+% 219.46/219.62 | op1(e11,e12) != e12+% 219.46/219.62 | op1(e11,e13) != e12 ),+% 219.46/219.62 inference(instantiation,[status(thm)],[c_16570]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_138548,plain,+% 219.46/219.62 ( X0 != X1 | op1(e11,e13) != X1 | op1(e11,e13) = X0 ),+% 219.46/219.62 inference(instantiation,[status(thm)],[c_16532]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_139984,plain,+% 219.46/219.62 ( X0 != op1(e11,e13)+% 219.46/219.62 | op1(e11,e13) = X0+% 219.46/219.62 | op1(e11,e13) != op1(e11,e13) ),+% 219.46/219.62 inference(instantiation,[status(thm)],[c_138548]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_141310,plain,+% 219.46/219.62 ( op1(e11,e13) = X0 | X0 != op1(e11,e13) ),+% 219.46/219.62 inference(global_propositional_subsumption,+% 219.46/219.62 [status(thm)],+% 219.46/219.62 [c_139984,c_17110,c_18203]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_141311,plain,+% 219.46/219.62 ( X0 != op1(e11,e13) | op1(e11,e13) = X0 ),+% 219.46/219.62 inference(renaming,[status(thm)],[c_141310]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_141313,plain,+% 219.46/219.62 ( op1(e11,e13) = e10 | e10 != op1(e11,e13) ),+% 219.46/219.62 inference(instantiation,[status(thm)],[c_141311]) ).+% 219.46/219.62 +% 219.46/219.62 cnf(c_225283,plain,+% 219.46/219.62 ( op1(e11,e11) != X0+% 219.46/219.62 | op1(e11,e11) = op1(e11,e13)+% 219.46/219.62 | op1(e11,e13) != X0 ),+% 219.46/219.62 inference(instantiation,[status(thm)],[c_16532]) ).+% 219.46/219.62 +% 219.46/219.63 cnf(c_225658,plain,+% 219.46/219.63 ( op1(e11,e11) != X0 | op1(e11,e13) != X0 ),+% 219.46/219.63 inference(global_propositional_subsumption,+% 219.46/219.63 [status(thm)],+% 219.46/219.63 [c_225283,c_109,c_17033,c_17034,c_25719]) ).+% 219.46/219.63 +% 219.46/219.63 cnf(c_229477,plain,+% 219.46/219.63 ( op1(e11,e11) != e10 | op1(e11,e13) != e10 ),+% 219.46/219.63 inference(instantiation,[status(thm)],[c_225658]) ).+% 219.46/219.63 +% 219.55/219.67 cnf(c_3023364,plain,+% 219.55/219.67 ( op1(e11,e13) = e11 ),+% 219.55/219.67 inference(global_propositional_subsumption,+% 219.55/219.67 [status(thm)],+% 219.55/219.67 [c_8,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_228,+% 219.55/219.67 c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,+% 219.55/219.67 c_139,c_135,c_134,c_132,c_128,c_126,c_124,c_123,c_120,+% 219.55/219.67 c_113,c_112,c_111,c_108,c_107,c_104,c_103,c_98,c_41,+% 219.55/219.67 c_39,c_32,c_24,c_23,c_12,c_10,c_6,c_16539,c_16545,+% 219.55/219.67 c_16561,c_16571,c_16603,c_16623,c_16958,c_17013,c_17034,+% 219.55/219.67 c_17044,c_17059,c_17146,c_17196,c_17224,c_17310,c_17316,+% 219.55/219.67 c_17467,c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,+% 219.55/219.67 c_18140,c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,+% 219.55/219.67 c_20081,c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,+% 219.55/219.67 c_21647,c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,+% 219.55/219.67 c_23176,c_24872,c_24898,c_27071,c_27668,c_27669,c_27672,+% 219.55/219.67 c_27673,c_27674,c_29140,c_29157,c_29185,c_29228,c_30290,+% 219.55/219.67 c_31852,c_31860,c_31892,c_31942,c_32502,c_32730,c_33701,+% 219.55/219.67 c_34860,c_34859,c_35127,c_36527,c_45564,c_47043,c_49848,+% 219.55/219.67 c_59901,c_60219,c_62404,c_62414,c_65980,c_66850,c_72084,+% 219.55/219.67 c_75216,c_75243,c_76700,c_133487,c_137595,c_137971,+% 219.55/219.67 c_137988,c_138028,c_138819,c_141313,c_142352,c_144212,+% 219.55/219.67 c_154058,c_157476,c_162431,c_163528,c_178052,c_229477,+% 219.55/219.67 c_229618,c_229882,c_229903,c_231889,c_233740,c_240223]) ).+% 219.55/219.67 +% 219.55/219.67 cnf(c_3023386,plain,+% 219.55/219.67 ( e11 = op1(e11,e13) ),+% 219.55/219.67 inference(resolution,[status(thm)],[c_3023364,c_3013688]) ).+% 219.55/219.67 +% 219.55/219.67 cnf(c_3055869,plain,+% 219.55/219.67 ( X0 != op1(e11,e13) | h3(X0) = h3(e11) ),+% 219.55/219.67 inference(resolution,[status(thm)],[c_3039293,c_3023386]) ).+% 219.55/219.67 +% 219.55/219.67 cnf(c_3253508,plain,+% 219.55/219.67 ( X0 != op1(e11,e13) | e21 = h3(X0) ),+% 219.55/219.67 inference(resolution,[status(thm)],[c_3055869,c_3100542]) ).+% 219.55/219.67 +% 219.55/219.67 cnf(c_3253901,plain,+% 219.55/219.67 ( e21 = h3(op1(e11,e13)) ),+% 219.55/219.67 inference(resolution,[status(thm)],[c_3253508,c_16531]) ).+% 219.55/219.67 +% 219.55/219.67 cnf(c_3253999,plain,+% 219.55/219.67 ( h3(op1(e11,e13)) = e21 ),+% 219.55/219.67 inference(resolution,[status(thm)],[c_3253901,c_3013688]) ).+% 219.55/219.67 +% 219.55/219.67 cnf(c_3254011,plain,+% 219.55/219.67 ( X0 != e21 | h3(op1(e11,e13)) = X0 ),+% 219.55/219.67 inference(resolution,[status(thm)],[c_3253999,c_16532]) ).+% 219.55/219.67 +% 219.55/219.67 cnf(c_3255786,plain,+% 219.55/219.67 ( X0 = h3(op1(e11,e13)) | X0 != e21 ),+% 219.55/219.67 inference(resolution,[status(thm)],[c_3254011,c_3013688]) ).+% 219.55/219.67 +% 219.55/219.67 cnf(c_4189948,plain,+% 219.55/219.67 ( op2(h3(e10),h3(e11)) != e23+% 219.55/219.67 | op2(h3(e10),h3(e12)) != e21+% 219.55/219.67 | op2(h3(e10),h3(e13)) != e22+% 219.55/219.67 | op2(h3(e11),h3(e12)) != e22+% 219.55/219.67 | op2(h3(e11),h3(e13)) != e21+% 219.55/219.67 | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))+% 219.55/219.67 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.55/219.67 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.55/219.67 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.55/219.67 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.55/219.67 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.55/219.67 inference(resolution,[status(thm)],[c_4189920,c_3255786]) ).+% 219.55/219.67 +% 219.55/219.67 cnf(c_7,plain,+% 219.55/219.67 ( op1(e12,e10) = e11+% 219.55/219.67 | op1(e12,e10) = e12+% 219.55/219.67 | op1(e12,e10) = e13+% 219.55/219.67 | e10 = op1(e12,e10) ),+% 219.55/219.67 inference(cnf_transformation,[],[f68]) ).+% 219.55/219.67 +% 219.58/219.71 cnf(c_3023360,plain,+% 219.58/219.71 ( op1(e12,e10) = e11 ),+% 219.58/219.71 inference(global_propositional_subsumption,+% 219.58/219.71 [status(thm)],+% 219.58/219.71 [c_7,c_254,c_253,c_16545,c_17013,c_18166,c_20243,c_32730]) ).+% 219.58/219.71 +% 219.58/219.71 cnf(c_3023382,plain,+% 219.58/219.71 ( e11 = op1(e12,e10) ),+% 219.58/219.71 inference(resolution,[status(thm)],[c_3023360,c_3013688]) ).+% 219.58/219.71 +% 219.58/219.71 cnf(c_3055872,plain,+% 219.58/219.71 ( X0 != op1(e12,e10) | h3(X0) = h3(e11) ),+% 219.58/219.71 inference(resolution,[status(thm)],[c_3039293,c_3023382]) ).+% 219.58/219.71 +% 219.58/219.71 cnf(c_3253525,plain,+% 219.58/219.71 ( X0 != op1(e12,e10) | e21 = h3(X0) ),+% 219.58/219.71 inference(resolution,[status(thm)],[c_3055872,c_3100542]) ).+% 219.58/219.71 +% 219.58/219.71 cnf(c_3254024,plain,+% 219.58/219.71 ( e21 = h3(op1(e12,e10)) ),+% 219.58/219.71 inference(resolution,[status(thm)],[c_3253525,c_16531]) ).+% 219.58/219.71 +% 219.58/219.71 cnf(c_3254122,plain,+% 219.58/219.71 ( h3(op1(e12,e10)) = e21 ),+% 219.58/219.71 inference(resolution,[status(thm)],[c_3254024,c_3013688]) ).+% 219.58/219.71 +% 219.58/219.71 cnf(c_3254134,plain,+% 219.58/219.71 ( X0 != e21 | h3(op1(e12,e10)) = X0 ),+% 219.58/219.71 inference(resolution,[status(thm)],[c_3254122,c_16532]) ).+% 219.58/219.71 +% 219.58/219.71 cnf(c_3256215,plain,+% 219.58/219.71 ( X0 = h3(op1(e12,e10)) | X0 != e21 ),+% 219.58/219.71 inference(resolution,[status(thm)],[c_3254134,c_3013688]) ).+% 219.58/219.71 +% 219.58/219.71 cnf(c_4189976,plain,+% 219.58/219.71 ( op2(h3(e10),h3(e11)) != e23+% 219.58/219.71 | op2(h3(e10),h3(e12)) != e21+% 219.58/219.71 | op2(h3(e10),h3(e13)) != e22+% 219.58/219.71 | op2(h3(e11),h3(e12)) != e22+% 219.58/219.71 | op2(h3(e11),h3(e13)) != e21+% 219.58/219.71 | op2(h3(e12),h3(e10)) != e21+% 219.58/219.71 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.58/219.71 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.58/219.71 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.58/219.71 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.58/219.71 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.58/219.71 inference(resolution,[status(thm)],[c_4189948,c_3256215]) ).+% 219.58/219.71 +% 219.65/219.75 cnf(c_3023356,plain,+% 219.65/219.75 ( op1(e12,e11) = e12 ),+% 219.65/219.75 inference(global_propositional_subsumption,+% 219.65/219.75 [status(thm)],+% 219.65/219.75 [c_6,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,+% 219.65/219.75 c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_132,c_128,+% 219.65/219.75 c_126,c_124,c_123,c_107,c_104,c_103,c_39,c_23,c_12,+% 219.65/219.75 c_16539,c_16545,c_16603,c_16958,c_17013,c_17146,c_17224,+% 219.65/219.75 c_17316,c_17467,c_17673,c_17685,c_18082,c_18107,c_18139,+% 219.65/219.75 c_18140,c_18166,c_18206,c_19078,c_19311,c_20081,c_20144,+% 219.65/219.75 c_20243,c_20396,c_20440,c_21221,c_23054,c_23126,c_23125,+% 219.65/219.75 c_23124,c_23181,c_23176,c_27071,c_27668,c_27672,c_27673,+% 219.65/219.75 c_27674,c_29140,c_29157,c_29185,c_29228,c_31852,c_31860,+% 219.65/219.75 c_31892,c_32502,c_32730,c_33701,c_45564,c_47043,c_49848,+% 219.65/219.75 c_59901,c_60219,c_62414,c_65980,c_66850,c_72084,c_75216,+% 219.65/219.75 c_75243,c_133487,c_137595,c_138004,c_138028,c_142352,+% 219.65/219.75 c_144212,c_154058,c_162431,c_229618,c_231889]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3023378,plain,+% 219.65/219.75 ( e12 = op1(e12,e11) ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3023356,c_3013688]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3055866,plain,+% 219.65/219.75 ( X0 != op1(e12,e11) | h3(X0) = h3(e12) ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3039293,c_3023378]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3253463,plain,+% 219.65/219.75 ( X0 != op1(e12,e11) | e22 = h3(X0) ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3055866,c_3013683]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3253536,plain,+% 219.65/219.75 ( e22 = h3(op1(e12,e11)) ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3253463,c_16531]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3253634,plain,+% 219.65/219.75 ( h3(op1(e12,e11)) = e22 ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3253536,c_3013688]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3253646,plain,+% 219.65/219.75 ( X0 != e22 | h3(op1(e12,e11)) = X0 ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3253634,c_16532]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3254458,plain,+% 219.65/219.75 ( X0 = h3(op1(e12,e11)) | X0 != e22 ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3253646,c_3013688]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_4190004,plain,+% 219.65/219.75 ( op2(h3(e10),h3(e11)) != e23+% 219.65/219.75 | op2(h3(e10),h3(e12)) != e21+% 219.65/219.75 | op2(h3(e10),h3(e13)) != e22+% 219.65/219.75 | op2(h3(e11),h3(e12)) != e22+% 219.65/219.75 | op2(h3(e11),h3(e13)) != e21+% 219.65/219.75 | op2(h3(e12),h3(e10)) != e21+% 219.65/219.75 | op2(h3(e12),h3(e11)) != e22+% 219.65/219.75 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.65/219.75 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.65/219.75 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.65/219.75 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_4189976,c_3254458]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3055754,plain,+% 219.65/219.75 ( X0 != op1(e12,e12) | h3(X0) = h3(e10) ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3039293,c_254]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3189977,plain,+% 219.65/219.75 ( X0 != op1(e12,e12) | e20 = h3(X0) ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3055754,c_3023707]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3190033,plain,+% 219.65/219.75 ( e20 = h3(op1(e12,e12)) ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3189977,c_16531]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3190127,plain,+% 219.65/219.75 ( h3(op1(e12,e12)) = e20 ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3190033,c_3013688]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3190139,plain,+% 219.65/219.75 ( X0 != e20 | h3(op1(e12,e12)) = X0 ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3190127,c_16532]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3190369,plain,+% 219.65/219.75 ( X0 = h3(op1(e12,e12)) | X0 != e20 ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3190139,c_3013688]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_4190032,plain,+% 219.65/219.75 ( op2(h3(e10),h3(e11)) != e23+% 219.65/219.75 | op2(h3(e10),h3(e12)) != e21+% 219.65/219.75 | op2(h3(e10),h3(e13)) != e22+% 219.65/219.75 | op2(h3(e11),h3(e12)) != e22+% 219.65/219.75 | op2(h3(e11),h3(e13)) != e21+% 219.65/219.75 | op2(h3(e12),h3(e10)) != e21+% 219.65/219.75 | op2(h3(e12),h3(e11)) != e22+% 219.65/219.75 | op2(h3(e12),h3(e12)) != e20+% 219.65/219.75 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.65/219.75 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.65/219.75 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_4190004,c_3190369]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_20998,plain,+% 219.65/219.75 ( X0 != e10 | h3(X0) = h3(e10) ),+% 219.65/219.75 inference(instantiation,[status(thm)],[c_16537]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_28859,plain,+% 219.65/219.75 ( op1(e12,e12) != e10 | h3(op1(e12,e12)) = h3(e10) ),+% 219.65/219.75 inference(instantiation,[status(thm)],[c_20998]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3013682,plain,+% 219.65/219.75 ( X0 != h3(e10) | op2(e22,e22) = X0 ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_16532,c_268]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3038464,plain,+% 219.65/219.75 ( X0 = op2(e22,e22) | X0 != h3(e10) ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3013682,c_3013688]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_3040845,plain,+% 219.65/219.75 ( X0 != h3(e10) | X1 != e22 | X2 != e22 | op2(X1,X2) = X0 ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_3038464,c_3013887]) ).+% 219.65/219.75 +% 219.65/219.75 cnf(c_4190030,plain,+% 219.65/219.75 ( op2(h3(e10),h3(e11)) != e23+% 219.65/219.75 | op2(h3(e10),h3(e12)) != e21+% 219.65/219.75 | op2(h3(e10),h3(e13)) != e22+% 219.65/219.75 | op2(h3(e11),h3(e12)) != e22+% 219.65/219.75 | op2(h3(e11),h3(e13)) != e21+% 219.65/219.75 | op2(h3(e12),h3(e10)) != e21+% 219.65/219.75 | op2(h3(e12),h3(e11)) != e22+% 219.65/219.75 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.65/219.75 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.65/219.75 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 219.65/219.75 | h3(op1(e12,e12)) != h3(e10)+% 219.65/219.75 | h3(e12) != e22 ),+% 219.65/219.75 inference(resolution,[status(thm)],[c_4190004,c_3040845]) ).+% 219.65/219.75 +% 219.65/219.79 cnf(c_4190034,plain,+% 219.65/219.79 ( op2(h3(e12),h3(e11)) != e22+% 219.65/219.79 | op2(h3(e12),h3(e10)) != e21+% 219.65/219.79 | op2(h3(e11),h3(e13)) != e21+% 219.65/219.79 | op2(h3(e11),h3(e12)) != e22+% 219.65/219.79 | op2(h3(e10),h3(e13)) != e22+% 219.65/219.79 | op2(h3(e10),h3(e12)) != e21+% 219.65/219.79 | op2(h3(e10),h3(e11)) != e23+% 219.65/219.79 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.65/219.79 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.65/219.79 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.65/219.79 inference(global_propositional_subsumption,+% 219.65/219.79 [status(thm)],+% 219.65/219.79 [c_4190032,c_254,c_16539,c_16545,c_20081,c_28859,+% 219.65/219.79 c_224868,c_4190030]) ).+% 219.65/219.79 +% 219.65/219.80 cnf(c_4190035,plain,+% 219.65/219.80 ( op2(h3(e10),h3(e11)) != e23+% 219.65/219.80 | op2(h3(e10),h3(e12)) != e21+% 219.65/219.80 | op2(h3(e10),h3(e13)) != e22+% 219.65/219.80 | op2(h3(e11),h3(e12)) != e22+% 219.65/219.80 | op2(h3(e11),h3(e13)) != e21+% 219.65/219.80 | op2(h3(e12),h3(e10)) != e21+% 219.65/219.80 | op2(h3(e12),h3(e11)) != e22+% 219.65/219.80 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.65/219.80 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.65/219.80 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.65/219.80 inference(renaming,[status(thm)],[c_4190034]) ).+% 219.65/219.80 +% 219.72/219.84 cnf(c_3023352,plain,+% 219.72/219.84 ( op1(e12,e13) = e13 ),+% 219.72/219.84 inference(global_propositional_subsumption,+% 219.72/219.84 [status(thm)],+% 219.72/219.84 [c_4,c_254,c_253,c_252,c_235,c_234,c_232,c_228,c_226,+% 219.72/219.84 c_224,c_221,c_196,c_195,c_194,c_140,c_139,c_132,c_128,+% 219.72/219.84 c_126,c_124,c_123,c_107,c_104,c_103,c_39,c_23,c_12,c_6,+% 219.72/219.84 c_16539,c_16545,c_16603,c_16958,c_17013,c_17146,c_17224,+% 219.72/219.84 c_17316,c_17467,c_17673,c_17685,c_18082,c_18107,c_18139,+% 219.72/219.84 c_18140,c_18166,c_18206,c_19078,c_19311,c_20081,c_20144,+% 219.72/219.84 c_20243,c_20396,c_20440,c_21221,c_23054,c_23126,c_23125,+% 219.72/219.84 c_23124,c_23181,c_23176,c_27071,c_27668,c_27672,c_27673,+% 219.72/219.84 c_27674,c_29140,c_29157,c_29185,c_29228,c_31852,c_31860,+% 219.72/219.84 c_31892,c_32502,c_32730,c_33701,c_45564,c_47043,c_49848,+% 219.72/219.84 c_59901,c_60219,c_62414,c_65980,c_66850,c_72084,c_75216,+% 219.72/219.84 c_75243,c_133487,c_137595,c_137971,c_138028,c_142352,+% 219.72/219.84 c_144212,c_154058,c_162431,c_229618,c_231889]) ).+% 219.72/219.84 +% 219.72/219.84 cnf(c_3023374,plain,+% 219.72/219.84 ( e13 = op1(e12,e13) ),+% 219.72/219.84 inference(resolution,[status(thm)],[c_3023352,c_3013688]) ).+% 219.72/219.84 +% 219.72/219.84 cnf(c_3055865,plain,+% 219.72/219.84 ( X0 != op1(e12,e13) | h3(X0) = h3(e13) ),+% 219.72/219.84 inference(resolution,[status(thm)],[c_3039293,c_3023374]) ).+% 219.72/219.84 +% 219.72/219.84 cnf(c_3569231,plain,+% 219.72/219.84 ( X0 != op1(e12,e13) | e23 = h3(X0) ),+% 219.72/219.84 inference(resolution,[status(thm)],[c_3567206,c_3055865]) ).+% 219.72/219.84 +% 219.72/219.84 cnf(c_3917167,plain,+% 219.72/219.84 ( e23 = h3(op1(e12,e13)) ),+% 219.72/219.84 inference(resolution,[status(thm)],[c_3569231,c_16531]) ).+% 219.72/219.84 +% 219.72/219.84 cnf(c_3917392,plain,+% 219.72/219.84 ( h3(op1(e12,e13)) = e23 ),+% 219.72/219.84 inference(resolution,[status(thm)],[c_3917167,c_3013688]) ).+% 219.72/219.84 +% 219.72/219.84 cnf(c_3917424,plain,+% 219.72/219.84 ( X0 != e23 | h3(op1(e12,e13)) = X0 ),+% 219.72/219.84 inference(resolution,[status(thm)],[c_3917392,c_16532]) ).+% 219.72/219.84 +% 219.72/219.84 cnf(c_4066181,plain,+% 219.72/219.84 ( X0 = h3(op1(e12,e13)) | X0 != e23 ),+% 219.72/219.84 inference(resolution,[status(thm)],[c_3917424,c_3013688]) ).+% 219.72/219.84 +% 219.72/219.84 cnf(c_4190080,plain,+% 219.72/219.84 ( op2(h3(e10),h3(e11)) != e23+% 219.72/219.84 | op2(h3(e10),h3(e12)) != e21+% 219.72/219.84 | op2(h3(e10),h3(e13)) != e22+% 219.72/219.84 | op2(h3(e11),h3(e12)) != e22+% 219.72/219.84 | op2(h3(e11),h3(e13)) != e21+% 219.72/219.84 | op2(h3(e12),h3(e10)) != e21+% 219.72/219.84 | op2(h3(e12),h3(e11)) != e22+% 219.72/219.84 | op2(h3(e12),h3(e13)) != e23+% 219.72/219.84 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.72/219.84 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.72/219.84 inference(resolution,[status(thm)],[c_4190035,c_4066181]) ).+% 219.72/219.84 +% 219.72/219.84 cnf(c_3,plain,+% 219.72/219.84 ( op1(e13,e10) = e11+% 219.72/219.84 | op1(e13,e10) = e12+% 219.72/219.84 | op1(e13,e10) = e13+% 219.72/219.84 | e10 = op1(e13,e10) ),+% 219.72/219.84 inference(cnf_transformation,[],[f72]) ).+% 219.72/219.84 +% 219.77/219.88 cnf(c_3023348,plain,+% 219.77/219.88 ( op1(e13,e10) = e12 ),+% 219.77/219.88 inference(global_propositional_subsumption,+% 219.77/219.88 [status(thm)],+% 219.77/219.88 [c_3,c_254,c_253,c_252,c_235,c_234,c_232,c_231,c_226,+% 219.77/219.88 c_224,c_221,c_196,c_195,c_194,c_192,c_140,c_139,c_128,+% 219.77/219.88 c_126,c_42,c_39,c_23,c_16539,c_16545,c_16958,c_17013,+% 219.77/219.88 c_17146,c_17224,c_17316,c_17467,c_17685,c_18082,c_18107,+% 219.77/219.88 c_18166,c_18206,c_19311,c_20081,c_20113,c_20238,c_20243,+% 219.77/219.88 c_20396,c_20440,c_21221,c_23054,c_23125,c_23124,c_23181,+% 219.77/219.88 c_23176,c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,+% 219.77/219.88 c_30493,c_31852,c_31860,c_32730,c_36462,c_45564,c_47043,+% 219.77/219.88 c_49848,c_62391,c_62414,c_66850,c_72084,c_133487,+% 219.77/219.88 c_133544,c_137595,c_138028,c_142352,c_144212,c_204646,+% 219.77/219.88 c_229253]) ).+% 219.77/219.88 +% 219.77/219.88 cnf(c_3023370,plain,+% 219.77/219.88 ( e12 = op1(e13,e10) ),+% 219.77/219.88 inference(resolution,[status(thm)],[c_3023348,c_3013688]) ).+% 219.77/219.88 +% 219.77/219.88 cnf(c_3055914,plain,+% 219.77/219.88 ( X0 != op1(e13,e10) | h3(X0) = h3(e12) ),+% 219.77/219.88 inference(resolution,[status(thm)],[c_3039293,c_3023370]) ).+% 219.77/219.88 +% 219.77/219.88 cnf(c_3256581,plain,+% 219.77/219.88 ( X0 != op1(e13,e10) | e22 = h3(X0) ),+% 219.77/219.88 inference(resolution,[status(thm)],[c_3055914,c_3013683]) ).+% 219.77/219.88 +% 219.77/219.88 cnf(c_3257831,plain,+% 219.77/219.88 ( e22 = h3(op1(e13,e10)) ),+% 219.77/219.88 inference(resolution,[status(thm)],[c_3256581,c_16531]) ).+% 219.77/219.88 +% 219.77/219.88 cnf(c_3257935,plain,+% 219.77/219.88 ( h3(op1(e13,e10)) = e22 ),+% 219.77/219.88 inference(resolution,[status(thm)],[c_3257831,c_3013688]) ).+% 219.77/219.88 +% 219.77/219.88 cnf(c_3257947,plain,+% 219.77/219.88 ( X0 != e22 | h3(op1(e13,e10)) = X0 ),+% 219.77/219.88 inference(resolution,[status(thm)],[c_3257935,c_16532]) ).+% 219.77/219.88 +% 219.77/219.88 cnf(c_3258478,plain,+% 219.77/219.88 ( X0 = h3(op1(e13,e10)) | X0 != e22 ),+% 219.77/219.88 inference(resolution,[status(thm)],[c_3257947,c_3013688]) ).+% 219.77/219.88 +% 219.77/219.88 cnf(c_4190106,plain,+% 219.77/219.88 ( op2(h3(e10),h3(e11)) != e23+% 219.77/219.88 | op2(h3(e10),h3(e12)) != e21+% 219.77/219.88 | op2(h3(e10),h3(e13)) != e22+% 219.77/219.88 | op2(h3(e11),h3(e12)) != e22+% 219.77/219.88 | op2(h3(e11),h3(e13)) != e21+% 219.77/219.88 | op2(h3(e12),h3(e10)) != e21+% 219.77/219.88 | op2(h3(e12),h3(e11)) != e22+% 219.77/219.88 | op2(h3(e12),h3(e13)) != e23+% 219.77/219.88 | op2(h3(e13),h3(e10)) != e22+% 219.77/219.88 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.77/219.88 inference(resolution,[status(thm)],[c_4190080,c_3258478]) ).+% 219.77/219.88 +% 219.77/219.92 cnf(c_3013896,plain,+% 219.77/219.92 ( op1(e13,e11) = e11 ),+% 219.77/219.92 inference(global_propositional_subsumption,+% 219.77/219.92 [status(thm)],+% 219.77/219.92 [c_2,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_228,+% 219.77/219.92 c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,+% 219.77/219.92 c_139,c_135,c_132,c_128,c_126,c_124,c_123,c_120,c_113,+% 219.77/219.92 c_112,c_107,c_104,c_103,c_98,c_41,c_39,c_32,c_24,c_23,+% 219.77/219.92 c_12,c_6,c_16539,c_16545,c_16561,c_16603,c_16958,+% 219.77/219.92 c_17013,c_17059,c_17146,c_17196,c_17224,c_17316,c_17467,+% 219.77/219.92 c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,c_18140,+% 219.77/219.92 c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,+% 219.77/219.92 c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,c_21647,+% 219.77/219.92 c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,+% 219.77/219.92 c_24872,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,+% 219.77/219.92 c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,c_31860,+% 219.77/219.92 c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,c_34859,+% 219.77/219.92 c_35127,c_36527,c_45564,c_47043,c_49848,c_59901,c_60219,+% 219.77/219.92 c_62404,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,+% 219.77/219.92 c_76700,c_133487,c_137595,c_137971,c_137988,c_138028,+% 219.77/219.92 c_142352,c_144212,c_154058,c_157476,c_162431,c_163528,+% 219.77/219.92 c_178052,c_229618,c_229992,c_231889,c_233740]) ).+% 219.77/219.92 +% 219.77/219.92 cnf(c_3023298,plain,+% 219.77/219.92 ( e11 = op1(e13,e11) ),+% 219.77/219.92 inference(resolution,[status(thm)],[c_3013896,c_3013688]) ).+% 219.77/219.92 +% 219.77/219.92 cnf(c_3055868,plain,+% 219.77/219.92 ( X0 != op1(e13,e11) | h3(X0) = h3(e11) ),+% 219.77/219.92 inference(resolution,[status(thm)],[c_3039293,c_3023298]) ).+% 219.77/219.92 +% 219.77/219.92 cnf(c_3253491,plain,+% 219.77/219.92 ( X0 != op1(e13,e11) | e21 = h3(X0) ),+% 219.77/219.92 inference(resolution,[status(thm)],[c_3055868,c_3100542]) ).+% 219.77/219.92 +% 219.77/219.92 cnf(c_3253778,plain,+% 219.77/219.92 ( e21 = h3(op1(e13,e11)) ),+% 219.77/219.92 inference(resolution,[status(thm)],[c_3253491,c_16531]) ).+% 219.77/219.92 +% 219.77/219.92 cnf(c_3253876,plain,+% 219.77/219.92 ( h3(op1(e13,e11)) = e21 ),+% 219.77/219.92 inference(resolution,[status(thm)],[c_3253778,c_3013688]) ).+% 219.77/219.92 +% 219.77/219.92 cnf(c_3253888,plain,+% 219.77/219.92 ( X0 != e21 | h3(op1(e13,e11)) = X0 ),+% 219.77/219.92 inference(resolution,[status(thm)],[c_3253876,c_16532]) ).+% 219.77/219.92 +% 219.77/219.92 cnf(c_3255361,plain,+% 219.77/219.92 ( X0 = h3(op1(e13,e11)) | X0 != e21 ),+% 219.77/219.92 inference(resolution,[status(thm)],[c_3253888,c_3013688]) ).+% 219.77/219.92 +% 219.77/219.92 cnf(c_4193570,plain,+% 219.77/219.92 ( op2(h3(e10),h3(e11)) != e23+% 219.77/219.92 | op2(h3(e10),h3(e12)) != e21+% 219.77/219.92 | op2(h3(e10),h3(e13)) != e22+% 219.77/219.92 | op2(h3(e11),h3(e12)) != e22+% 219.77/219.92 | op2(h3(e11),h3(e13)) != e21+% 219.77/219.92 | op2(h3(e12),h3(e10)) != e21+% 219.77/219.92 | op2(h3(e12),h3(e11)) != e22+% 219.77/219.92 | op2(h3(e12),h3(e13)) != e23+% 219.77/219.92 | op2(h3(e13),h3(e10)) != e22+% 219.77/219.92 | op2(h3(e13),h3(e11)) != e21 ),+% 219.77/219.92 inference(resolution,[status(thm)],[c_4190106,c_3255361]) ).+% 219.77/219.92 +% 219.77/219.92 cnf(c_355943,plain,+% 219.77/219.92 ( X0 != X1 | X2 != h3(X1) | X2 = h3(X0) ),+% 219.77/219.92 inference(resolution,[status(thm)],[c_16532,c_16537]) ).+% 219.77/219.92 +% 219.77/219.92 cnf(c_380149,plain,+% 219.77/219.92 ( X0 != X1 | X2 != X1 | h3(X2) = h3(X0) ),+% 219.77/219.92 inference(resolution,[status(thm)],[c_355943,c_16537]) ).+% 219.77/219.92 +% 219.77/219.93 cnf(c_356070,plain,+% 219.77/219.93 ( op1(e13,e11) = e11 ),+% 219.77/219.93 inference(global_propositional_subsumption,+% 219.77/219.93 [status(thm)],+% 219.77/219.93 [c_2,c_254,c_253,c_252,c_235,c_234,c_232,c_230,c_228,+% 219.77/219.93 c_226,c_224,c_221,c_196,c_195,c_194,c_192,c_143,c_140,+% 219.77/219.93 c_139,c_135,c_132,c_128,c_126,c_124,c_123,c_120,c_113,+% 219.77/219.93 c_112,c_107,c_104,c_103,c_98,c_41,c_39,c_32,c_24,c_23,+% 219.77/219.93 c_12,c_6,c_16539,c_16545,c_16561,c_16603,c_16958,+% 219.77/219.93 c_17013,c_17059,c_17146,c_17196,c_17224,c_17316,c_17467,+% 219.77/219.93 c_17673,c_17677,c_17685,c_18082,c_18107,c_18139,c_18140,+% 219.77/219.93 c_18166,c_18206,c_19077,c_19078,c_19289,c_19311,c_20081,+% 219.77/219.93 c_20144,c_20243,c_20396,c_20440,c_21221,c_21243,c_21647,+% 219.77/219.93 c_22973,c_23054,c_23126,c_23125,c_23124,c_23181,c_23176,+% 219.77/219.93 c_24872,c_27071,c_27668,c_27669,c_27672,c_27673,c_27674,+% 219.77/219.93 c_29140,c_29157,c_29185,c_29228,c_30290,c_31852,c_31860,+% 219.77/219.93 c_31892,c_31942,c_32502,c_32730,c_33701,c_34860,c_34859,+% 219.77/219.93 c_35127,c_36527,c_45564,c_47043,c_49848,c_59901,c_60219,+% 219.77/219.93 c_62404,c_62414,c_65980,c_66850,c_72084,c_75216,c_75243,+% 219.77/219.93 c_76700,c_133487,c_137595,c_137971,c_137988,c_138028,+% 219.77/219.93 c_142352,c_144212,c_154058,c_157476,c_162431,c_163528,+% 219.77/219.93 c_178052,c_229618,c_229992,c_231889,c_233740]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_356085,plain,+% 219.77/219.93 ( X0 = op1(e13,e11) | X0 != e11 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_356070,c_16532]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_381409,plain,+% 219.77/219.93 ( X0 != op1(e13,e11) | X1 != e11 | h3(X0) = h3(X1) ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_380149,c_356085]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_355931,plain,+% 219.77/219.93 ( X0 != h2(e12) | X0 = e21 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_16532,c_265]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_356091,plain,+% 219.77/219.93 ( h2(e12) = e21 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_355931,c_16531]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_356095,plain,+% 219.77/219.93 ( X0 = h2(e12) | X0 != e21 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_356091,c_16532]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_365925,plain,+% 219.77/219.93 ( X0 = X1 | X0 != h2(e12) | X1 != e21 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_356095,c_16532]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_379927,plain,+% 219.77/219.93 ( X0 != e21 | e21 = X0 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_365925,c_265]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_379943,plain,+% 219.77/219.93 ( e21 = op2(e22,op2(e22,e22)) ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_379927,c_256]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_379965,plain,+% 219.77/219.93 ( X0 != op2(e22,op2(e22,e22)) | X0 = e21 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_379943,c_16532]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_355933,plain,+% 219.77/219.93 ( X0 = op2(e22,op2(e22,e22)) | X0 != h3(e11) ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_16532,c_267]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_380474,plain,+% 219.77/219.93 ( X0 != h3(e11) | X0 = e21 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_379965,c_355933]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_491688,plain,+% 219.77/219.93 ( X0 != op1(e13,e11) | h3(X0) = e21 | e11 != e11 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_381409,c_380474]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_491696,plain,+% 219.77/219.93 ( X0 != op1(e13,e11) | h3(X0) = e21 ),+% 219.77/219.93 inference(equality_resolution_simp,[status(thm)],[c_491688]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_594517,plain,+% 219.77/219.93 ( h3(op1(e13,e11)) = e21 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_491696,c_16531]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_2032312,plain,+% 219.77/219.93 ( op2(h3(e13),h3(e11)) != X0+% 219.77/219.93 | op2(h3(e13),h3(e11)) = h3(op1(e13,e11))+% 219.77/219.93 | h3(op1(e13,e11)) != X0 ),+% 219.77/219.93 inference(instantiation,[status(thm)],[c_16532]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_2067930,plain,+% 219.77/219.93 ( op2(h3(e13),h3(e11)) = h3(op1(e13,e11))+% 219.77/219.93 | op2(h3(e13),h3(e11)) != e21+% 219.77/219.93 | h3(op1(e13,e11)) != e21 ),+% 219.77/219.93 inference(instantiation,[status(thm)],[c_2032312]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_3013671,plain,+% 219.77/219.93 ( X0 != e21 | op2(e22,op2(e22,e22)) = X0 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_16532,c_256]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_3038562,plain,+% 219.77/219.93 ( X0 = op2(e22,op2(e22,e22)) | X0 != e21 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_3013671,c_3013688]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_3054377,plain,+% 219.77/219.93 ( X0 != op2(e22,e22) | X1 != e21 | X2 != e22 | op2(X2,X0) = X1 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_3038562,c_3013887]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_4190168,plain,+% 219.77/219.93 ( op2(h3(e10),h3(e11)) != e23+% 219.77/219.93 | op2(h3(e10),h3(e12)) != e21+% 219.77/219.93 | op2(h3(e10),h3(e13)) != e22+% 219.77/219.93 | op2(h3(e11),h3(e12)) != e22+% 219.77/219.93 | op2(h3(e11),h3(e13)) != e21+% 219.77/219.93 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.77/219.93 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.77/219.93 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.77/219.93 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.77/219.93 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 219.77/219.93 | h3(op1(e12,e10)) != e21+% 219.77/219.93 | h3(e10) != op2(e22,e22)+% 219.77/219.93 | h3(e12) != e22 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_3054377,c_4189948]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_356142,plain,+% 219.77/219.93 ( op1(e12,e10) = e11 ),+% 219.77/219.93 inference(global_propositional_subsumption,+% 219.77/219.93 [status(thm)],+% 219.77/219.93 [c_7,c_254,c_253,c_16545,c_17013,c_18166,c_20243,c_32730]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_365910,plain,+% 219.77/219.93 ( X0 = op1(e12,e10) | X0 != e11 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_356142,c_16532]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_381413,plain,+% 219.77/219.93 ( X0 != op1(e12,e10) | X1 != e11 | h3(X0) = h3(X1) ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_380149,c_365910]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_492265,plain,+% 219.77/219.93 ( X0 != op1(e12,e10) | h3(X0) = e21 | e11 != e11 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_381413,c_380474]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_492273,plain,+% 219.77/219.93 ( X0 != op1(e12,e10) | h3(X0) = e21 ),+% 219.77/219.93 inference(equality_resolution_simp,[status(thm)],[c_492265]) ).+% 219.77/219.93 +% 219.77/219.93 cnf(c_595076,plain,+% 219.77/219.93 ( h3(op1(e12,e10)) = e21 ),+% 219.77/219.93 inference(resolution,[status(thm)],[c_492273,c_16531]) ).+% 219.77/219.93 +% 219.85/219.98 cnf(c_4193416,plain,+% 219.85/219.98 ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 219.85/219.98 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.85/219.98 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.85/219.98 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.85/219.98 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.85/219.98 | op2(h3(e11),h3(e13)) != e21+% 219.85/219.98 | op2(h3(e11),h3(e12)) != e22+% 219.85/219.98 | op2(h3(e10),h3(e13)) != e22+% 219.85/219.98 | op2(h3(e10),h3(e12)) != e21+% 219.85/219.98 | op2(h3(e10),h3(e11)) != e23 ),+% 219.85/219.98 inference(global_propositional_subsumption,+% 219.85/219.98 [status(thm)],+% 219.85/219.98 [c_4190168,c_268,c_254,c_253,c_252,c_235,c_234,c_232,+% 219.85/219.98 c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,c_142,+% 219.85/219.98 c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,c_16545,+% 219.85/219.98 c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,c_17467,+% 219.85/219.98 c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,c_19289,+% 219.85/219.98 c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,c_23054,+% 219.85/219.98 c_23125,c_23124,c_23181,c_23176,c_24269,c_27071,c_27668,+% 219.85/219.98 c_27673,c_27674,c_29140,c_29185,c_30252,c_31852,c_31860,+% 219.85/219.98 c_32730,c_35056,c_45564,c_45834,c_47043,c_49848,c_58695,+% 219.85/219.98 c_62414,c_66850,c_72084,c_93661,c_133487,c_133544,+% 219.85/219.98 c_137595,c_138028,c_142352,c_144212,c_204646,c_224868,+% 219.85/219.98 c_229253,c_595076]) ).+% 219.85/219.98 +% 219.85/219.98 cnf(c_4193417,plain,+% 219.85/219.98 ( op2(h3(e10),h3(e11)) != e23+% 219.85/219.98 | op2(h3(e10),h3(e12)) != e21+% 219.85/219.98 | op2(h3(e10),h3(e13)) != e22+% 219.85/219.98 | op2(h3(e11),h3(e12)) != e22+% 219.85/219.98 | op2(h3(e11),h3(e13)) != e21+% 219.85/219.98 | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))+% 219.85/219.98 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.85/219.98 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.85/219.98 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.85/219.98 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.85/219.98 inference(renaming,[status(thm)],[c_4193416]) ).+% 219.85/219.98 +% 219.85/219.98 cnf(c_4193462,plain,+% 219.85/219.98 ( op2(h3(e10),h3(e11)) != e23+% 219.85/219.98 | op2(h3(e10),h3(e12)) != e21+% 219.85/219.98 | op2(h3(e10),h3(e13)) != e22+% 219.85/219.98 | op2(h3(e11),h3(e12)) != e22+% 219.85/219.98 | op2(h3(e11),h3(e13)) != e21+% 219.85/219.98 | op2(h3(e12),h3(e11)) != e22+% 219.85/219.98 | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))+% 219.85/219.98 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.85/219.98 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.85/219.98 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.85/219.98 inference(resolution,[status(thm)],[c_4193417,c_3254458]) ).+% 219.85/219.98 +% 219.85/219.98 cnf(c_4193489,plain,+% 219.85/219.98 ( op2(h3(e10),h3(e11)) != e23+% 219.85/219.98 | op2(h3(e10),h3(e12)) != e21+% 219.85/219.98 | op2(h3(e10),h3(e13)) != e22+% 219.85/219.98 | op2(h3(e11),h3(e12)) != e22+% 219.85/219.98 | op2(h3(e11),h3(e13)) != e21+% 219.85/219.98 | op2(h3(e12),h3(e11)) != e22+% 219.85/219.98 | op2(h3(e12),h3(e12)) != e20+% 219.85/219.98 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.85/219.98 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.85/219.98 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.85/219.98 inference(resolution,[status(thm)],[c_4193462,c_3190369]) ).+% 219.85/219.98 +% 219.85/219.98 cnf(c_4193487,plain,+% 219.85/219.98 ( op2(h3(e10),h3(e11)) != e23+% 219.85/219.98 | op2(h3(e10),h3(e12)) != e21+% 219.85/219.98 | op2(h3(e10),h3(e13)) != e22+% 219.85/219.98 | op2(h3(e11),h3(e12)) != e22+% 219.85/219.98 | op2(h3(e11),h3(e13)) != e21+% 219.85/219.98 | op2(h3(e12),h3(e11)) != e22+% 219.85/219.98 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.85/219.98 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.85/219.98 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))+% 219.85/219.98 | h3(op1(e12,e12)) != h3(e10)+% 219.85/219.98 | h3(e12) != e22 ),+% 219.85/219.98 inference(resolution,[status(thm)],[c_4193462,c_3040845]) ).+% 219.85/219.98 +% 219.88/220.02 cnf(c_4193492,plain,+% 219.88/220.02 ( op2(h3(e12),h3(e11)) != e22+% 219.88/220.02 | op2(h3(e11),h3(e13)) != e21+% 219.88/220.02 | op2(h3(e11),h3(e12)) != e22+% 219.88/220.02 | op2(h3(e10),h3(e13)) != e22+% 219.88/220.02 | op2(h3(e10),h3(e12)) != e21+% 219.88/220.02 | op2(h3(e10),h3(e11)) != e23+% 219.88/220.02 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.88/220.02 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.88/220.02 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.88/220.02 inference(global_propositional_subsumption,+% 219.88/220.02 [status(thm)],+% 219.88/220.02 [c_4193489,c_254,c_16539,c_16545,c_20081,c_28859,+% 219.88/220.02 c_224868,c_4193487]) ).+% 219.88/220.02 +% 219.88/220.02 cnf(c_4193493,plain,+% 219.88/220.02 ( op2(h3(e10),h3(e11)) != e23+% 219.88/220.02 | op2(h3(e10),h3(e12)) != e21+% 219.88/220.02 | op2(h3(e10),h3(e13)) != e22+% 219.88/220.02 | op2(h3(e11),h3(e12)) != e22+% 219.88/220.02 | op2(h3(e11),h3(e13)) != e21+% 219.88/220.02 | op2(h3(e12),h3(e11)) != e22+% 219.88/220.02 | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))+% 219.88/220.02 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.88/220.02 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.88/220.02 inference(renaming,[status(thm)],[c_4193492]) ).+% 219.88/220.02 +% 219.88/220.02 cnf(c_4193543,plain,+% 219.88/220.02 ( op2(h3(e10),h3(e11)) != e23+% 219.88/220.02 | op2(h3(e10),h3(e12)) != e21+% 219.88/220.02 | op2(h3(e10),h3(e13)) != e22+% 219.88/220.02 | op2(h3(e11),h3(e12)) != e22+% 219.88/220.02 | op2(h3(e11),h3(e13)) != e21+% 219.88/220.02 | op2(h3(e12),h3(e11)) != e22+% 219.88/220.02 | op2(h3(e12),h3(e13)) != e23+% 219.88/220.02 | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))+% 219.88/220.02 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.88/220.02 inference(resolution,[status(thm)],[c_4193493,c_4066181]) ).+% 219.88/220.02 +% 219.88/220.02 cnf(c_4193595,plain,+% 219.88/220.02 ( op2(h3(e10),h3(e11)) != e23+% 219.88/220.02 | op2(h3(e10),h3(e12)) != e21+% 219.88/220.02 | op2(h3(e10),h3(e13)) != e22+% 219.88/220.02 | op2(h3(e11),h3(e12)) != e22+% 219.88/220.02 | op2(h3(e11),h3(e13)) != e21+% 219.88/220.02 | op2(h3(e12),h3(e11)) != e22+% 219.88/220.02 | op2(h3(e12),h3(e13)) != e23+% 219.88/220.02 | op2(h3(e13),h3(e10)) != e22+% 219.88/220.02 | op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) ),+% 219.88/220.02 inference(resolution,[status(thm)],[c_4193543,c_3258478]) ).+% 219.88/220.02 +% 219.94/220.07 cnf(c_4193598,plain,+% 219.94/220.07 ( op2(h3(e11),h3(e13)) != e21+% 219.94/220.07 | op2(h3(e11),h3(e12)) != e22+% 219.94/220.07 | op2(h3(e10),h3(e13)) != e22+% 219.94/220.07 | op2(h3(e10),h3(e12)) != e21+% 219.94/220.07 | op2(h3(e10),h3(e11)) != e23+% 219.94/220.07 | op2(h3(e12),h3(e11)) != e22+% 219.94/220.07 | op2(h3(e12),h3(e13)) != e23+% 219.94/220.07 | op2(h3(e13),h3(e10)) != e22+% 219.94/220.07 | op2(h3(e13),h3(e11)) != e21 ),+% 219.94/220.07 inference(global_propositional_subsumption,+% 219.94/220.07 [status(thm)],+% 219.94/220.07 [c_4193570,c_594517,c_2067930,c_4193595]) ).+% 219.94/220.07 +% 219.94/220.07 cnf(c_4193599,plain,+% 219.94/220.07 ( op2(h3(e10),h3(e11)) != e23+% 219.94/220.07 | op2(h3(e10),h3(e12)) != e21+% 219.94/220.07 | op2(h3(e10),h3(e13)) != e22+% 219.94/220.07 | op2(h3(e11),h3(e12)) != e22+% 219.94/220.07 | op2(h3(e11),h3(e13)) != e21+% 219.94/220.07 | op2(h3(e12),h3(e11)) != e22+% 219.94/220.07 | op2(h3(e12),h3(e13)) != e23+% 219.94/220.07 | op2(h3(e13),h3(e10)) != e22+% 219.94/220.07 | op2(h3(e13),h3(e11)) != e21 ),+% 219.94/220.07 inference(renaming,[status(thm)],[c_4193598]) ).+% 219.94/220.07 +% 219.94/220.11 cnf(c_3024524,plain,+% 219.94/220.11 ( op2(e20,e21) = e23 ),+% 219.94/220.11 inference(global_propositional_subsumption,+% 219.94/220.11 [status(thm)],+% 219.94/220.11 [c_62,c_17427,c_113093,c_155173,c_165269,c_178764,+% 219.94/220.11 c_225198,c_255252]) ).+% 219.94/220.11 +% 219.94/220.11 cnf(c_3024534,plain,+% 219.94/220.11 ( e23 = op2(e20,e21) ),+% 219.94/220.11 inference(resolution,[status(thm)],[c_3024524,c_3013688]) ).+% 219.94/220.11 +% 219.94/220.11 cnf(c_3040122,plain,+% 219.94/220.11 ( X0 != e20 | X1 != e21 | op2(X0,X1) = e23 ),+% 219.94/220.11 inference(resolution,[status(thm)],[c_3013887,c_3024534]) ).+% 219.94/220.11 +% 219.94/220.11 cnf(c_4193662,plain,+% 219.94/220.11 ( op2(h3(e10),h3(e12)) != e21+% 219.94/220.11 | op2(h3(e10),h3(e13)) != e22+% 219.94/220.11 | op2(h3(e11),h3(e12)) != e22+% 219.94/220.11 | op2(h3(e11),h3(e13)) != e21+% 219.94/220.11 | op2(h3(e12),h3(e11)) != e22+% 219.94/220.11 | op2(h3(e12),h3(e13)) != e23+% 219.94/220.11 | op2(h3(e13),h3(e10)) != e22+% 219.94/220.11 | op2(h3(e13),h3(e11)) != e21+% 219.94/220.11 | h3(e10) != e20+% 219.94/220.11 | h3(e11) != e21 ),+% 219.94/220.11 inference(resolution,[status(thm)],[c_4193599,c_3040122]) ).+% 219.94/220.11 +% 220.01/220.15 cnf(c_4193671,plain,+% 220.01/220.15 ( op2(h3(e10),h3(e12)) != e21+% 220.01/220.15 | op2(h3(e10),h3(e13)) != e22+% 220.01/220.15 | op2(h3(e11),h3(e12)) != e22+% 220.01/220.15 | op2(h3(e11),h3(e13)) != e21+% 220.01/220.15 | op2(h3(e12),h3(e11)) != e22+% 220.01/220.15 | op2(h3(e12),h3(e13)) != e23+% 220.01/220.15 | op2(h3(e13),h3(e10)) != e22+% 220.01/220.15 | op2(h3(e13),h3(e11)) != e21 ),+% 220.01/220.15 inference(global_propositional_subsumption,+% 220.01/220.15 [status(thm)],+% 220.01/220.15 [c_4193662,c_268,c_257,c_254,c_253,c_252,c_235,c_234,+% 220.01/220.15 c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,+% 220.01/220.15 c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,+% 220.01/220.15 c_16545,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,+% 220.01/220.15 c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,+% 220.01/220.15 c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,+% 220.01/220.15 c_21699,c_23054,c_23125,c_23124,c_23181,c_23176,c_24269,+% 220.01/220.15 c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,+% 220.01/220.15 c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,+% 220.01/220.15 c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,+% 220.01/220.15 c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,+% 220.01/220.15 c_204646,c_229253,c_230430]) ).+% 220.01/220.15 +% 220.07/220.19 cnf(c_3024445,plain,+% 220.07/220.19 ( op2(e20,e22) = e21 ),+% 220.07/220.19 inference(global_propositional_subsumption,+% 220.07/220.19 [status(thm)],+% 220.07/220.19 [c_61,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,+% 220.07/220.19 c_187,c_179,c_178,c_177,c_166,c_155,c_153,c_90,c_88,+% 220.07/220.19 c_77,c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,+% 220.07/220.19 c_17554,c_17790,c_17816,c_17913,c_18617,c_19346,c_19400,+% 220.07/220.19 c_21017,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,+% 220.07/220.19 c_26603,c_26610,c_27945,c_33694,c_33893,c_34088,c_36100,+% 220.07/220.19 c_38580,c_38896,c_39126,c_39778,c_49003,c_51437,c_68975,+% 220.07/220.19 c_68974,c_69423,c_71340,c_95072,c_102572,c_107924,+% 220.07/220.19 c_112325,c_113093,c_149258,c_178764,c_225198,c_247675,+% 220.07/220.19 c_255252]) ).+% 220.07/220.19 +% 220.07/220.19 cnf(c_3024469,plain,+% 220.07/220.19 ( e21 = op2(e20,e22) ),+% 220.07/220.19 inference(resolution,[status(thm)],[c_3024445,c_3013688]) ).+% 220.07/220.19 +% 220.07/220.19 cnf(c_3040121,plain,+% 220.07/220.19 ( X0 != e20 | X1 != e22 | op2(X0,X1) = e21 ),+% 220.07/220.19 inference(resolution,[status(thm)],[c_3013887,c_3024469]) ).+% 220.07/220.19 +% 220.07/220.19 cnf(c_4195810,plain,+% 220.07/220.19 ( op2(h3(e10),h3(e13)) != e22+% 220.07/220.19 | op2(h3(e11),h3(e12)) != e22+% 220.07/220.19 | op2(h3(e11),h3(e13)) != e21+% 220.07/220.19 | op2(h3(e12),h3(e11)) != e22+% 220.07/220.19 | op2(h3(e12),h3(e13)) != e23+% 220.07/220.19 | op2(h3(e13),h3(e10)) != e22+% 220.07/220.19 | op2(h3(e13),h3(e11)) != e21+% 220.07/220.19 | h3(e10) != e20+% 220.07/220.19 | h3(e12) != e22 ),+% 220.07/220.19 inference(resolution,[status(thm)],[c_4193671,c_3040121]) ).+% 220.07/220.19 +% 220.07/220.24 cnf(c_4195811,plain,+% 220.07/220.24 ( op2(h3(e10),h3(e13)) != e22+% 220.07/220.24 | op2(h3(e11),h3(e12)) != e22+% 220.07/220.24 | op2(h3(e11),h3(e13)) != e21+% 220.07/220.24 | op2(h3(e12),h3(e11)) != e22+% 220.07/220.24 | op2(h3(e12),h3(e13)) != e23+% 220.07/220.24 | op2(h3(e13),h3(e10)) != e22+% 220.07/220.24 | op2(h3(e13),h3(e11)) != e21 ),+% 220.07/220.24 inference(global_propositional_subsumption,+% 220.07/220.24 [status(thm)],+% 220.07/220.24 [c_4195810,c_268,c_257,c_254,c_253,c_252,c_235,c_234,+% 220.07/220.24 c_232,c_231,c_226,c_224,c_221,c_196,c_195,c_194,c_143,+% 220.07/220.24 c_142,c_140,c_139,c_128,c_126,c_39,c_23,c_15,c_16539,+% 220.07/220.24 c_16545,c_16958,c_17013,c_17089,c_17146,c_17224,c_17316,+% 220.07/220.24 c_17467,c_17530,c_17685,c_18082,c_18107,c_18166,c_18206,+% 220.07/220.24 c_19289,c_19311,c_20081,c_20243,c_20396,c_20440,c_21221,+% 220.07/220.24 c_21699,c_23054,c_23125,c_23124,c_23181,c_23176,c_24269,+% 220.07/220.24 c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,+% 220.07/220.24 c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,+% 220.07/220.24 c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,+% 220.07/220.24 c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,+% 220.07/220.24 c_204646,c_224868,c_229253]) ).+% 220.07/220.24 +% 220.15/220.28 cnf(c_3024441,plain,+% 220.15/220.28 ( op2(e20,e23) = e22 ),+% 220.15/220.28 inference(global_propositional_subsumption,+% 220.15/220.28 [status(thm)],+% 220.15/220.28 [c_60,c_225198,c_255252]) ).+% 220.15/220.28 +% 220.15/220.28 cnf(c_3024465,plain,+% 220.15/220.28 ( e22 = op2(e20,e23) ),+% 220.15/220.28 inference(resolution,[status(thm)],[c_3024441,c_3013688]) ).+% 220.15/220.28 +% 220.15/220.28 cnf(c_3040128,plain,+% 220.15/220.28 ( X0 != e20 | X1 != e23 | op2(X0,X1) = e22 ),+% 220.15/220.28 inference(resolution,[status(thm)],[c_3013887,c_3024465]) ).+% 220.15/220.28 +% 220.15/220.28 cnf(c_4195846,plain,+% 220.15/220.28 ( op2(h3(e11),h3(e12)) != e22+% 220.15/220.28 | op2(h3(e11),h3(e13)) != e21+% 220.15/220.28 | op2(h3(e12),h3(e11)) != e22+% 220.15/220.28 | op2(h3(e12),h3(e13)) != e23+% 220.15/220.28 | op2(h3(e13),h3(e10)) != e22+% 220.15/220.28 | op2(h3(e13),h3(e11)) != e21+% 220.15/220.28 | h3(e10) != e20+% 220.15/220.28 | h3(e13) != e23 ),+% 220.15/220.28 inference(resolution,[status(thm)],[c_4195811,c_3040128]) ).+% 220.15/220.28 +% 220.18/220.32 cnf(c_4195851,plain,+% 220.18/220.32 ( op2(h3(e11),h3(e12)) != e22+% 220.18/220.32 | op2(h3(e11),h3(e13)) != e21+% 220.18/220.32 | op2(h3(e12),h3(e11)) != e22+% 220.18/220.32 | op2(h3(e12),h3(e13)) != e23+% 220.18/220.32 | op2(h3(e13),h3(e10)) != e22+% 220.18/220.32 | op2(h3(e13),h3(e11)) != e21 ),+% 220.18/220.32 inference(global_propositional_subsumption,+% 220.18/220.32 [status(thm)],+% 220.18/220.32 [c_4195846,c_268,c_266,c_257,c_255,c_254,c_253,c_252,+% 220.18/220.32 c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,+% 220.18/220.32 c_194,c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,+% 220.18/220.32 c_15,c_16539,c_16545,c_16905,c_16958,c_17013,c_17089,+% 220.18/220.32 c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,+% 220.18/220.32 c_18107,c_18166,c_18206,c_18617,c_19176,c_19289,c_19311,+% 220.18/220.32 c_20081,c_20243,c_20396,c_20440,c_21221,c_21699,c_23054,+% 220.18/220.32 c_23125,c_23124,c_23181,c_23176,c_23529,c_23530,c_24269,+% 220.18/220.32 c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,+% 220.18/220.32 c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,+% 220.18/220.32 c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,+% 220.18/220.32 c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,+% 220.18/220.32 c_204646,c_229253]) ).+% 220.18/220.32 +% 220.25/220.36 cnf(c_3024429,plain,+% 220.25/220.36 ( op2(e21,e22) = e22 ),+% 220.25/220.36 inference(global_propositional_subsumption,+% 220.25/220.36 [status(thm)],+% 220.25/220.36 [c_57,c_257,c_256,c_255,c_245,c_203,c_202,c_200,c_199,+% 220.25/220.36 c_198,c_191,c_187,c_179,c_175,c_170,c_166,c_155,c_153,+% 220.25/220.36 c_90,c_88,c_77,c_74,c_16905,c_17300,c_17349,c_17350,+% 220.25/220.36 c_17427,c_17431,c_17539,c_17554,c_17740,c_17816,c_18617,+% 220.25/220.36 c_18971,c_19346,c_19400,c_21159,c_21422,c_22510,c_23147,+% 220.25/220.36 c_26105,c_26103,c_26603,c_26610,c_27945,c_28198,c_33893,+% 220.25/220.36 c_34088,c_36100,c_38580,c_38896,c_39778,c_44781,c_44824,+% 220.25/220.36 c_45778,c_49003,c_51437,c_68875,c_68975,c_68974,c_69423,+% 220.25/220.36 c_71340,c_90241,c_95072,c_102572,c_107924,c_108004,+% 220.25/220.36 c_112325,c_112575,c_149258,c_239027,c_240050,c_241832]) ).+% 220.25/220.36 +% 220.25/220.36 cnf(c_3024453,plain,+% 220.25/220.36 ( e22 = op2(e21,e22) ),+% 220.25/220.36 inference(resolution,[status(thm)],[c_3024429,c_3013688]) ).+% 220.25/220.36 +% 220.25/220.36 cnf(c_3040115,plain,+% 220.25/220.36 ( X0 != e21 | X1 != e22 | op2(X0,X1) = e22 ),+% 220.25/220.36 inference(resolution,[status(thm)],[c_3013887,c_3024453]) ).+% 220.25/220.36 +% 220.25/220.36 cnf(c_4195881,plain,+% 220.25/220.36 ( op2(h3(e11),h3(e13)) != e21+% 220.25/220.36 | op2(h3(e12),h3(e11)) != e22+% 220.25/220.36 | op2(h3(e12),h3(e13)) != e23+% 220.25/220.36 | op2(h3(e13),h3(e10)) != e22+% 220.25/220.36 | op2(h3(e13),h3(e11)) != e21+% 220.25/220.36 | h3(e11) != e21+% 220.25/220.36 | h3(e12) != e22 ),+% 220.25/220.36 inference(resolution,[status(thm)],[c_4195851,c_3040115]) ).+% 220.25/220.36 +% 220.25/220.40 cnf(c_4195887,plain,+% 220.25/220.40 ( op2(h3(e11),h3(e13)) != e21+% 220.25/220.40 | op2(h3(e12),h3(e11)) != e22+% 220.25/220.40 | op2(h3(e12),h3(e13)) != e23+% 220.25/220.40 | op2(h3(e13),h3(e10)) != e22+% 220.25/220.40 | op2(h3(e13),h3(e11)) != e21 ),+% 220.25/220.40 inference(global_propositional_subsumption,+% 220.25/220.40 [status(thm)],+% 220.25/220.40 [c_4195881,c_224868,c_230430]) ).+% 220.25/220.40 +% 220.25/220.40 cnf(c_56,plain,+% 220.25/220.40 ( op2(e21,e23) = e21+% 220.25/220.40 | op2(e21,e23) = e22+% 220.25/220.40 | op2(e21,e23) = e23+% 220.25/220.40 | e20 = op2(e21,e23) ),+% 220.25/220.40 inference(cnf_transformation,[],[f115]) ).+% 220.25/220.40 +% 220.25/220.40 cnf(c_69062,plain,+% 220.25/220.40 ( e21 != op2(e20,e23) | e21 = e22 | e22 != op2(e20,e23) ),+% 220.25/220.40 inference(instantiation,[status(thm)],[c_59569]) ).+% 220.25/220.40 +% 220.25/220.41 cnf(c_230739,plain,+% 220.25/220.41 ( op2(e21,e23) = e21 | op2(e20,e23) = e21 | op2(e23,e23) = e21 ),+% 220.25/220.41 inference(global_propositional_subsumption,+% 220.25/220.41 [status(thm)],+% 220.25/220.41 [c_68,c_257,c_256,c_153,c_17349,c_17350,c_17427,c_21159,+% 220.25/220.41 c_26103,c_34088]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_230740,plain,+% 220.25/220.41 ( op2(e20,e23) = e21 | op2(e21,e23) = e21 | op2(e23,e23) = e21 ),+% 220.25/220.41 inference(renaming,[status(thm)],[c_230739]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_16724,plain,+% 220.25/220.41 ( op2(e20,e21) != X0+% 220.25/220.41 | op2(e20,e21) = op2(e21,e21)+% 220.25/220.41 | op2(e21,e21) != X0 ),+% 220.25/220.41 inference(instantiation,[status(thm)],[c_16532]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_19091,plain,+% 220.25/220.41 ( op2(e20,e21) != op2(e20,e21)+% 220.25/220.41 | op2(e20,e21) = op2(e21,e21)+% 220.25/220.41 | op2(e21,e21) != op2(e20,e21) ),+% 220.25/220.41 inference(instantiation,[status(thm)],[c_16724]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_38518,plain,+% 220.25/220.41 ( op2(e20,e21) != op2(e20,e21)+% 220.25/220.41 | op2(e20,e21) = e21+% 220.25/220.41 | e21 != op2(e20,e21) ),+% 220.25/220.41 inference(instantiation,[status(thm)],[c_31689]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_77595,plain,+% 220.25/220.41 ( op2(e20,e21) != e21+% 220.25/220.41 | op2(e21,e21) = op2(e20,e21)+% 220.25/220.41 | op2(e21,e21) != e21 ),+% 220.25/220.41 inference(instantiation,[status(thm)],[c_61036]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_89082,plain,+% 220.25/220.41 ( X0 != op2(e21,e23) | e20 = X0 | e20 != op2(e21,e23) ),+% 220.25/220.41 inference(instantiation,[status(thm)],[c_60272]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_99421,plain,+% 220.25/220.41 ( op2(e20,e22) != op2(e21,e23)+% 220.25/220.41 | e20 = op2(e20,e22)+% 220.25/220.41 | e20 != op2(e21,e23) ),+% 220.25/220.41 inference(instantiation,[status(thm)],[c_89082]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_138274,plain,+% 220.25/220.41 ( h2(e12) != X0 | e22 != X0 | e22 = h2(e12) ),+% 220.25/220.41 inference(instantiation,[status(thm)],[c_16532]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_17470,plain,+% 220.25/220.41 ( e21 != h2(e12) | e21 = e22 | e22 != h2(e12) ),+% 220.25/220.41 inference(instantiation,[status(thm)],[c_16749]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_139860,plain,+% 220.25/220.41 ( e22 != X0 | h2(e12) != X0 ),+% 220.25/220.41 inference(global_propositional_subsumption,+% 220.25/220.41 [status(thm)],+% 220.25/220.41 [c_138274,c_265,c_200,c_17470]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_139861,plain,+% 220.25/220.41 ( h2(e12) != X0 | e22 != X0 ),+% 220.25/220.41 inference(renaming,[status(thm)],[c_139860]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_140340,plain,+% 220.25/220.41 ( h2(e12) != e22 | e22 != e22 ),+% 220.25/220.41 inference(instantiation,[status(thm)],[c_139861]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_143224,plain,+% 220.25/220.41 ( op2(e20,e22) = op2(e21,e23)+% 220.25/220.41 | op2(e20,e22) != e21+% 220.25/220.41 | op2(e21,e23) != e21 ),+% 220.25/220.41 inference(instantiation,[status(thm)],[c_140849]) ).+% 220.25/220.41 +% 220.25/220.41 cnf(c_113308,plain,+% 220.25/220.41 ( op2(e20,e22) = op2(e21,e23)+% 220.25/220.41 | op2(e20,e22) != e21+% 220.25/220.41 | op2(e21,e23) != e21 ),+% 220.25/220.41 inference(instantiation,[status(thm)],[c_90406]) ).+% 220.25/220.41 +% 220.25/220.42 cnf(c_149617,plain,+% 220.25/220.42 ( op2(e20,e22) != e21 | op2(e20,e22) = op2(e21,e23) ),+% 220.25/220.42 inference(global_propositional_subsumption,+% 220.25/220.42 [status(thm)],+% 220.25/220.42 [c_143224,c_257,c_256,c_255,c_242,c_240,c_237,c_203,+% 220.25/220.42 c_202,c_201,c_200,c_199,c_198,c_191,c_188,c_187,c_181,+% 220.25/220.42 c_179,c_178,c_177,c_176,c_175,c_174,c_171,c_169,c_167,+% 220.25/220.42 c_166,c_164,c_163,c_162,c_160,c_159,c_158,c_157,c_155,+% 220.25/220.42 c_153,c_152,c_90,c_89,c_88,c_87,c_86,c_85,c_77,c_71,+% 220.25/220.42 c_68,c_67,c_62,c_61,c_57,c_1839,c_1865,c_1943,c_1969,+% 220.25/220.42 c_16905,c_17254,c_17300,c_17335,c_17349,c_17350,c_17427,+% 220.25/220.42 c_17431,c_17554,c_17556,c_17558,c_17740,c_17747,c_17748,+% 220.25/220.42 c_17770,c_17786,c_17790,c_17799,c_17800,c_17841,c_17842,+% 220.25/220.42 c_17853,c_17915,c_17931,c_17998,c_18615,c_18616,c_18617,+% 220.25/220.42 c_18984,c_18997,c_19044,c_19094,c_19246,c_19340,c_19346,+% 220.25/220.42 c_20774,c_20913,c_20955,c_21017,c_21045,c_21159,c_21422,+% 220.25/220.42 c_21762,c_22467,c_22510,c_22568,c_22593,c_23145,c_23147,+% 220.25/220.42 c_23297,c_23671,c_25031,c_25030,c_25989,c_26105,c_26103,+% 220.25/220.42 c_26603,c_26604,c_26605,c_26610,c_27237,c_27239,c_27939,+% 220.25/220.42 c_27945,c_29330,c_33333,c_33461,c_33694,c_33893,c_34088,+% 220.25/220.42 c_35201,c_36100,c_38487,c_38592,c_38580,c_38851,c_38896,+% 220.25/220.42 c_38949,c_39126,c_39778,c_40255,c_44109,c_44248,c_44601,+% 220.25/220.42 c_49003,c_49014,c_51437,c_62013,c_63683,c_68261,c_68501,+% 220.25/220.42 c_68565,c_68612,c_68690,c_68975,c_68974,c_69063,c_69096,+% 220.25/220.42 c_69349,c_74870,c_76914,c_77138,c_77143,c_90409,c_95072,+% 220.25/220.42 c_102572,c_107767,c_112325,c_112444,c_113308,c_115073,+% 220.25/220.42 c_115060,c_127540,c_138057,c_138066,c_138069,c_138092,+% 220.25/220.42 c_142413,c_145078,c_148192]) ).+% 220.25/220.42 +% 220.25/220.42 cnf(c_149618,plain,+% 220.25/220.42 ( op2(e20,e22) = op2(e21,e23) | op2(e20,e22) != e21 ),+% 220.25/220.42 inference(renaming,[status(thm)],[c_149617]) ).+% 220.25/220.42 +% 220.25/220.42 cnf(c_230357,plain,+% 220.25/220.42 ( X0 = op2(e22,e20) | X0 != e21 ),+% 220.25/220.42 inference(resolution,[status(thm)],[c_230351,c_16532]) ).+% 220.25/220.42 +% 220.25/220.42 cnf(c_230367,plain,+% 220.25/220.42 ( op2(e20,e20) != e21 ),+% 220.25/220.42 inference(resolution,[status(thm)],[c_230357,c_190]) ).+% 220.25/220.42 +% 220.25/220.42 cnf(c_93,plain,+% 220.25/220.42 ( op2(e20,e20) = e21+% 220.25/220.42 | op2(e20,e21) = e21+% 220.25/220.42 | op2(e20,e22) = e21+% 220.25/220.42 | op2(e20,e23) = e21 ),+% 220.25/220.42 inference(cnf_transformation,[],[f126]) ).+% 220.25/220.42 +% 220.25/220.42 cnf(c_230376,plain,+% 220.25/220.42 ( op2(e20,e21) = e21 | op2(e20,e22) = e21 | op2(e20,e23) = e21 ),+% 220.25/220.42 inference(backward_subsumption_resolution,+% 220.25/220.42 [status(thm)],+% 220.25/220.42 [c_230367,c_93]) ).+% 220.25/220.42 +% 220.25/220.42 cnf(c_239769,plain,+% 220.25/220.42 ( op2(e20,e22) = e21 | op2(e20,e23) = e21 | e21 = op2(e20,e21) ),+% 220.25/220.42 inference(resolution,[status(thm)],[c_230376,c_230241]) ).+% 220.25/220.42 +% 220.32/220.42 cnf(c_230842,plain,+% 220.32/220.42 ( op2(e21,e22) = e22 | op2(e23,e22) = e22 ),+% 220.32/220.42 inference(global_propositional_subsumption,+% 220.32/220.42 [status(thm)],+% 220.32/220.42 [c_74,c_257,c_256,c_255,c_203,c_202,c_200,c_199,c_198,+% 220.32/220.42 c_191,c_187,c_179,c_166,c_155,c_153,c_90,c_88,c_77,+% 220.32/220.42 c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17539,+% 220.32/220.42 c_17554,c_17816,c_18617,c_19346,c_19400,c_21159,c_21422,+% 220.32/220.42 c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,c_27945,+% 220.32/220.42 c_33893,c_34088,c_36100,c_38580,c_38896,c_39778,c_44824,+% 220.32/220.42 c_49003,c_51437,c_68975,c_68974,c_69423,c_71340,c_95072,+% 220.32/220.42 c_102572,c_107924,c_112325,c_149258]) ).+% 220.32/220.42 +% 220.32/220.42 cnf(c_230883,plain,+% 220.32/220.42 ( op2(e23,e22) = e22 | e22 = op2(e21,e22) ),+% 220.32/220.42 inference(resolution,[status(thm)],[c_230842,c_230647]) ).+% 220.32/220.42 +% 220.32/220.42 cnf(c_242537,plain,+% 220.32/220.42 ( e22 = op2(e21,e22) ),+% 220.32/220.42 inference(backward_subsumption_resolution,+% 220.32/220.42 [status(thm)],+% 220.32/220.42 [c_242505,c_230883]) ).+% 220.32/220.42 +% 220.32/220.42 cnf(c_242541,plain,+% 220.32/220.42 ( X0 != op2(e21,e22) | X0 = e22 ),+% 220.32/220.42 inference(resolution,[status(thm)],[c_242537,c_16532]) ).+% 220.32/220.42 +% 220.32/220.42 cnf(c_230242,plain,+% 220.32/220.42 ( X0 != e21 | h2(e12) = X0 ),+% 220.32/220.42 inference(resolution,[status(thm)],[c_224947,c_16531]) ).+% 220.32/220.42 +% 220.32/220.42 cnf(c_251468,plain,+% 220.32/220.42 ( op2(e21,e22) != e21 | h2(e12) = e22 ),+% 220.32/220.42 inference(resolution,[status(thm)],[c_242541,c_230242]) ).+% 220.32/220.42 +% 220.32/220.43 cnf(c_252520,plain,+% 220.32/220.43 ( op2(e21,e23) = e21 | op2(e20,e23) = e21 ),+% 220.32/220.43 inference(global_propositional_subsumption,+% 220.32/220.43 [status(thm)],+% 220.32/220.43 [c_230740,c_257,c_256,c_255,c_245,c_203,c_202,c_200,+% 220.32/220.43 c_199,c_198,c_191,c_187,c_185,c_179,c_178,c_175,c_170,+% 220.32/220.43 c_166,c_159,c_156,c_155,c_153,c_90,c_88,c_77,c_74,c_56,+% 220.32/220.43 c_16905,c_17300,c_17349,c_17350,c_17427,c_17431,c_17539,+% 220.32/220.43 c_17554,c_17740,c_17760,c_17790,c_17800,c_17816,c_18617,+% 220.32/220.43 c_18971,c_18985,c_19091,c_19346,c_19400,c_21017,c_21159,+% 220.32/220.43 c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,c_26610,+% 220.32/220.43 c_27945,c_28198,c_33694,c_33893,c_34088,c_36100,c_38518,+% 220.32/220.43 c_38580,c_38896,c_39126,c_39778,c_44781,c_44824,c_45778,+% 220.32/220.43 c_49003,c_51437,c_68875,c_68975,c_68974,c_69423,c_71340,+% 220.32/220.43 c_77595,c_90241,c_95072,c_99421,c_102572,c_107924,+% 220.32/220.43 c_108004,c_112325,c_112575,c_149258,c_149618,c_239027,+% 220.32/220.43 c_239769,c_240050,c_241832,c_252024]) ).+% 220.32/220.43 +% 220.32/220.43 cnf(c_252521,plain,+% 220.32/220.43 ( op2(e20,e23) = e21 | op2(e21,e23) = e21 ),+% 220.32/220.43 inference(renaming,[status(thm)],[c_252520]) ).+% 220.32/220.43 +% 220.32/220.43 cnf(c_252592,plain,+% 220.32/220.43 ( op2(e21,e23) = e21 | e21 = op2(e20,e23) ),+% 220.32/220.43 inference(resolution,[status(thm)],[c_252521,c_230241]) ).+% 220.32/220.43 +% 220.32/220.47 cnf(c_3024327,plain,+% 220.32/220.47 ( op2(e21,e23) = e21 ),+% 220.32/220.47 inference(global_propositional_subsumption,+% 220.32/220.47 [status(thm)],+% 220.32/220.47 [c_56,c_200,c_17427,c_69062,c_113093,c_225198,c_252592,+% 220.32/220.47 c_255252]) ).+% 220.32/220.47 +% 220.32/220.47 cnf(c_3024349,plain,+% 220.32/220.47 ( e21 = op2(e21,e23) ),+% 220.32/220.47 inference(resolution,[status(thm)],[c_3024327,c_3013688]) ).+% 220.32/220.47 +% 220.32/220.47 cnf(c_3040117,plain,+% 220.32/220.47 ( X0 != e21 | X1 != e23 | op2(X0,X1) = e21 ),+% 220.32/220.47 inference(resolution,[status(thm)],[c_3013887,c_3024349]) ).+% 220.32/220.47 +% 220.32/220.47 cnf(c_4195918,plain,+% 220.32/220.47 ( op2(h3(e12),h3(e11)) != e22+% 220.32/220.47 | op2(h3(e12),h3(e13)) != e23+% 220.32/220.47 | op2(h3(e13),h3(e10)) != e22+% 220.32/220.47 | op2(h3(e13),h3(e11)) != e21+% 220.32/220.47 | h3(e11) != e21+% 220.32/220.47 | h3(e13) != e23 ),+% 220.32/220.47 inference(resolution,[status(thm)],[c_4195887,c_3040117]) ).+% 220.32/220.47 +% 220.38/220.51 cnf(c_4195920,plain,+% 220.38/220.51 ( op2(h3(e12),h3(e11)) != e22+% 220.38/220.51 | op2(h3(e12),h3(e13)) != e23+% 220.38/220.51 | op2(h3(e13),h3(e10)) != e22+% 220.38/220.51 | op2(h3(e13),h3(e11)) != e21 ),+% 220.38/220.51 inference(global_propositional_subsumption,+% 220.38/220.51 [status(thm)],+% 220.38/220.51 [c_4195918,c_255,c_17427,c_113093,c_115067,c_155173,+% 220.38/220.51 c_165269,c_178764,c_225198,c_230430,c_255252,c_318273,+% 220.38/220.51 c_4195915]) ).+% 220.38/220.51 +% 220.45/220.55 cnf(c_3024319,plain,+% 220.45/220.55 ( op2(e22,e21) = e22 ),+% 220.45/220.55 inference(global_propositional_subsumption,+% 220.45/220.55 [status(thm)],+% 220.45/220.55 [c_54,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,+% 220.45/220.55 c_187,c_155,c_153,c_149,c_90,c_88,c_77,c_16905,c_17291,+% 220.45/220.55 c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,+% 220.45/220.55 c_19346,c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,+% 220.45/220.55 c_26603,c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,+% 220.45/220.55 c_38896,c_39778,c_49003,c_51437,c_68975,c_68974,c_95072,+% 220.45/220.55 c_102572,c_112325,c_240038,c_255252]) ).+% 220.45/220.55 +% 220.45/220.55 cnf(c_3024341,plain,+% 220.45/220.55 ( e22 = op2(e22,e21) ),+% 220.45/220.55 inference(resolution,[status(thm)],[c_3024319,c_3013688]) ).+% 220.45/220.55 +% 220.45/220.55 cnf(c_3040114,plain,+% 220.45/220.55 ( X0 != e21 | X1 != e22 | op2(X1,X0) = e22 ),+% 220.45/220.55 inference(resolution,[status(thm)],[c_3013887,c_3024341]) ).+% 220.45/220.55 +% 220.45/220.55 cnf(c_4195944,plain,+% 220.45/220.55 ( op2(h3(e12),h3(e13)) != e23+% 220.45/220.55 | op2(h3(e13),h3(e10)) != e22+% 220.45/220.55 | op2(h3(e13),h3(e11)) != e21+% 220.45/220.55 | h3(e11) != e21+% 220.45/220.55 | h3(e12) != e22 ),+% 220.45/220.55 inference(resolution,[status(thm)],[c_4195920,c_3040114]) ).+% 220.45/220.55 +% 220.47/220.60 cnf(c_4195948,plain,+% 220.47/220.60 ( op2(h3(e12),h3(e13)) != e23+% 220.47/220.60 | op2(h3(e13),h3(e10)) != e22+% 220.47/220.60 | op2(h3(e13),h3(e11)) != e21 ),+% 220.47/220.60 inference(global_propositional_subsumption,+% 220.47/220.60 [status(thm)],+% 220.47/220.60 [c_4195944,c_257,c_256,c_255,c_203,c_200,c_199,c_198,+% 220.47/220.60 c_191,c_187,c_179,c_178,c_177,c_166,c_155,c_153,c_90,+% 220.47/220.60 c_88,c_77,c_61,c_16905,c_17300,c_17349,c_17350,c_17427,+% 220.47/220.60 c_17431,c_17554,c_17790,c_17816,c_17913,c_18617,c_19346,+% 220.47/220.60 c_19400,c_21017,c_21159,c_21422,c_22510,c_23147,c_26105,+% 220.47/220.60 c_26103,c_26603,c_26610,c_27945,c_33694,c_33893,c_34088,+% 220.47/220.60 c_36100,c_38580,c_38896,c_39126,c_39778,c_49003,c_51437,+% 220.47/220.60 c_68975,c_68974,c_69423,c_71340,c_95072,c_99485,+% 220.47/220.60 c_102572,c_107924,c_112325,c_113093,c_149258,c_178764,+% 220.47/220.60 c_224868,c_225198,c_247675,c_255252,c_319334,c_4195946]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_225322,plain,+% 220.47/220.60 ( op2(e23,e20) != X0+% 220.47/220.60 | op2(e23,e20) = op2(e23,e22)+% 220.47/220.60 | op2(e23,e22) != X0 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_16532]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_225942,plain,+% 220.47/220.60 ( op2(e23,e20) != X0 | op2(e23,e22) != X0 ),+% 220.47/220.60 inference(global_propositional_subsumption,+% 220.47/220.60 [status(thm)],+% 220.47/220.60 [c_225322,c_148,c_16650]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_231324,plain,+% 220.47/220.60 ( op2(e23,e20) != op2(e22,e23) | op2(e23,e22) != op2(e22,e23) ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_225942]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_24684,plain,+% 220.47/220.60 ( op2(e22,e23) = op2(e23,e23)+% 220.47/220.60 | op2(e22,e23) != e22+% 220.47/220.60 | op2(e23,e23) != e22 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_16690]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_29575,plain,+% 220.47/220.60 ( op2(e23,e20) != X0+% 220.47/220.60 | op2(e23,e20) = op2(e23,e21)+% 220.47/220.60 | op2(e23,e21) != X0 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_16532]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_38044,plain,+% 220.47/220.60 ( op2(e23,e20) != op2(e22,e23)+% 220.47/220.60 | op2(e23,e20) = op2(e23,e21)+% 220.47/220.60 | op2(e23,e21) != op2(e22,e23) ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_29575]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_68148,plain,+% 220.47/220.60 ( op2(e22,e23) != op2(e22,e23)+% 220.47/220.60 | op2(e22,e23) = op2(e23,e20)+% 220.47/220.60 | op2(e23,e20) != op2(e22,e23) ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_62238]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_60930,plain,+% 220.47/220.60 ( X0 != e22 | op2(e23,e21) = X0 | op2(e23,e21) != e22 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_60035]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_70839,plain,+% 220.47/220.60 ( op2(e22,e23) != e22+% 220.47/220.60 | op2(e23,e21) = op2(e22,e23)+% 220.47/220.60 | op2(e23,e21) != e22 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_60930]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_70833,plain,+% 220.47/220.60 ( X0 = op2(e22,e23) | X0 != e22 | op2(e22,e23) != e22 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_64702]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_90237,plain,+% 220.47/220.60 ( op2(e22,e23) != e22+% 220.47/220.60 | op2(e23,e22) = op2(e22,e23)+% 220.47/220.60 | op2(e23,e22) != e22 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_70833]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_59556,plain,+% 220.47/220.60 ( op2(e21,e20) != X0+% 220.47/220.60 | op2(e21,e20) = op2(e23,e20)+% 220.47/220.60 | op2(e23,e20) != X0 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_16532]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_95411,plain,+% 220.47/220.60 ( op2(e21,e20) != op2(e22,e23)+% 220.47/220.60 | op2(e21,e20) = op2(e23,e20)+% 220.47/220.60 | op2(e23,e20) != op2(e22,e23) ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_59556]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_139045,plain,+% 220.47/220.60 ( X0 != X1 | op2(e21,e20) != X1 | op2(e21,e20) = X0 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_16532]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_140235,plain,+% 220.47/220.60 ( X0 != e23 | op2(e21,e20) = X0 | op2(e21,e20) != e23 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_139045]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_17765,plain,+% 220.47/220.60 ( X0 != X1 | op2(e21,e20) != X1 | op2(e21,e20) = X0 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_16532]) ).+% 220.47/220.60 +% 220.47/220.60 cnf(c_22511,plain,+% 220.47/220.60 ( X0 != e23 | op2(e21,e20) = X0 | op2(e21,e20) != e23 ),+% 220.47/220.60 inference(instantiation,[status(thm)],[c_17765]) ).+% 220.47/220.60 +% 220.47/220.61 cnf(c_142966,plain,+% 220.47/220.61 ( op2(e21,e20) = X0 | X0 != e23 ),+% 220.47/220.61 inference(global_propositional_subsumption,+% 220.47/220.61 [status(thm)],+% 220.47/220.61 [c_140235,c_257,c_256,c_255,c_203,c_199,c_191,c_187,+% 220.47/220.61 c_155,c_153,c_88,c_77,c_16905,c_17300,c_17349,c_17350,+% 220.47/220.61 c_17427,c_17431,c_17554,c_18617,c_19346,c_21159,c_21422,+% 220.47/220.61 c_22511,c_26105,c_26103,c_26603,c_26610,c_27945,c_33893,+% 220.47/220.61 c_34088,c_36100,c_38580,c_38896,c_39778,c_51437,c_68975,+% 220.47/220.61 c_95072,c_102572]) ).+% 220.47/220.61 +% 220.47/220.61 cnf(c_142967,plain,+% 220.47/220.61 ( X0 != e23 | op2(e21,e20) = X0 ),+% 220.47/220.61 inference(renaming,[status(thm)],[c_142966]) ).+% 220.47/220.61 +% 220.47/220.61 cnf(c_142969,plain,+% 220.47/220.61 ( op2(e21,e20) = op2(e22,e23) | op2(e22,e23) != e23 ),+% 220.47/220.61 inference(instantiation,[status(thm)],[c_142967]) ).+% 220.47/220.61 +% 220.47/220.61 cnf(c_237320,plain,+% 220.47/220.61 ( op2(e23,e20) != op2(e22,e23) ),+% 220.47/220.61 inference(global_propositional_subsumption,+% 220.47/220.61 [status(thm)],+% 220.47/220.61 [c_231324,c_257,c_256,c_255,c_203,c_200,c_199,c_198,+% 220.47/220.61 c_191,c_189,c_187,c_184,c_179,c_172,c_168,c_166,c_155,+% 220.47/220.61 c_153,c_149,c_148,c_91,c_90,c_88,c_77,c_67,c_16905,+% 220.47/220.61 c_17300,c_17349,c_17350,c_17427,c_17431,c_17554,c_17816,+% 220.47/220.61 c_17835,c_18617,c_19346,c_19400,c_19398,c_21159,c_21422,+% 220.47/220.61 c_22510,c_23147,c_24684,c_25036,c_26105,c_26103,c_26603,+% 220.47/220.61 c_26610,c_27945,c_33768,c_33893,c_34088,c_36100,c_38045,+% 220.47/220.61 c_38044,c_38580,c_38896,c_39366,c_39778,c_49003,c_51437,+% 220.47/220.61 c_68148,c_68975,c_68974,c_69423,c_70839,c_71340,c_90237,+% 220.47/220.61 c_95072,c_95411,c_101640,c_102572,c_107924,c_112325,+% 220.47/220.61 c_131061,c_142969,c_149072,c_149258,c_225131]) ).+% 220.47/220.61 +% 220.54/220.65 cnf(c_3024315,plain,+% 220.54/220.65 ( op2(e22,e23) = e23 ),+% 220.54/220.65 inference(global_propositional_subsumption,+% 220.54/220.65 [status(thm)],+% 220.54/220.65 [c_52,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,+% 220.54/220.65 c_189,c_187,c_184,c_179,c_172,c_168,c_166,c_155,c_153,+% 220.54/220.65 c_149,c_148,c_91,c_90,c_88,c_77,c_67,c_16905,c_17300,+% 220.54/220.65 c_17349,c_17350,c_17427,c_17431,c_17554,c_17816,c_17835,+% 220.54/220.65 c_18617,c_19346,c_19400,c_19398,c_21159,c_21422,c_22510,+% 220.54/220.65 c_23147,c_24684,c_24688,c_25036,c_26105,c_26103,c_26603,+% 220.54/220.65 c_26610,c_27945,c_33768,c_33893,c_34088,c_36100,c_38045,+% 220.54/220.65 c_38044,c_38580,c_38896,c_39366,c_39778,c_49003,c_51437,+% 220.54/220.65 c_68148,c_68975,c_68974,c_69423,c_70839,c_71340,c_90237,+% 220.54/220.65 c_95072,c_95411,c_101640,c_102572,c_107924,c_112325,+% 220.54/220.65 c_131061,c_142969,c_149072,c_149258,c_225131,c_255252]) ).+% 220.54/220.65 +% 220.54/220.65 cnf(c_3024337,plain,+% 220.54/220.65 ( e23 = op2(e22,e23) ),+% 220.54/220.65 inference(resolution,[status(thm)],[c_3024315,c_3013688]) ).+% 220.54/220.65 +% 220.54/220.65 cnf(c_3040113,plain,+% 220.54/220.65 ( X0 != e22 | X1 != e23 | op2(X0,X1) = e23 ),+% 220.54/220.65 inference(resolution,[status(thm)],[c_3013887,c_3024337]) ).+% 220.54/220.65 +% 220.54/220.65 cnf(c_4195962,plain,+% 220.54/220.65 ( op2(h3(e13),h3(e10)) != e22+% 220.54/220.65 | op2(h3(e13),h3(e11)) != e21+% 220.54/220.65 | h3(e12) != e22+% 220.54/220.65 | h3(e13) != e23 ),+% 220.54/220.65 inference(resolution,[status(thm)],[c_4195948,c_3040113]) ).+% 220.54/220.65 +% 220.54/220.70 cnf(c_4195972,plain,+% 220.54/220.70 ( op2(h3(e13),h3(e10)) != e22 | op2(h3(e13),h3(e11)) != e21 ),+% 220.54/220.70 inference(global_propositional_subsumption,+% 220.54/220.70 [status(thm)],+% 220.54/220.70 [c_4195962,c_266,c_255,c_16905,c_18617,c_19176,c_23529,+% 220.54/220.70 c_23530,c_224868]) ).+% 220.54/220.70 +% 220.62/220.74 cnf(c_3024311,plain,+% 220.62/220.74 ( op2(e23,e20) = e22 ),+% 220.62/220.74 inference(global_propositional_subsumption,+% 220.62/220.74 [status(thm)],+% 220.62/220.74 [c_51,c_257,c_256,c_255,c_203,c_200,c_199,c_198,c_191,+% 220.62/220.74 c_187,c_155,c_153,c_90,c_88,c_77,c_16905,c_17300,+% 220.62/220.74 c_17349,c_17350,c_17427,c_17431,c_17554,c_18617,c_19346,+% 220.62/220.74 c_21159,c_21422,c_22510,c_23147,c_26105,c_26103,c_26603,+% 220.62/220.74 c_26610,c_27945,c_33893,c_34088,c_36100,c_38580,c_38896,+% 220.62/220.74 c_39778,c_49003,c_51437,c_68975,c_68974,c_95072,+% 220.62/220.74 c_102572,c_112325,c_255252]) ).+% 220.62/220.74 +% 220.62/220.74 cnf(c_3024333,plain,+% 220.62/220.74 ( e22 = op2(e23,e20) ),+% 220.62/220.74 inference(resolution,[status(thm)],[c_3024311,c_3013688]) ).+% 220.62/220.74 +% 220.62/220.74 cnf(c_3040127,plain,+% 220.62/220.74 ( X0 != e20 | X1 != e23 | op2(X1,X0) = e22 ),+% 220.62/220.74 inference(resolution,[status(thm)],[c_3013887,c_3024333]) ).+% 220.62/220.74 +% 220.62/220.74 cnf(c_4195989,plain,+% 220.62/220.74 ( op2(h3(e13),h3(e11)) != e21 | h3(e10) != e20 | h3(e13) != e23 ),+% 220.62/220.74 inference(resolution,[status(thm)],[c_4195972,c_3040127]) ).+% 220.62/220.74 +% 220.68/220.78 cnf(c_4196255,plain,+% 220.68/220.78 ( op2(h3(e13),h3(e11)) != e21 ),+% 220.68/220.78 inference(global_propositional_subsumption,+% 220.68/220.78 [status(thm)],+% 220.68/220.78 [c_4195989,c_268,c_266,c_257,c_255,c_254,c_253,c_252,+% 220.68/220.78 c_235,c_234,c_232,c_231,c_226,c_224,c_221,c_196,c_195,+% 220.68/220.78 c_194,c_143,c_142,c_140,c_139,c_128,c_126,c_39,c_23,+% 220.68/220.78 c_15,c_16539,c_16545,c_16905,c_16958,c_17013,c_17089,+% 220.68/220.78 c_17146,c_17224,c_17316,c_17467,c_17530,c_17685,c_18082,+% 220.68/220.78 c_18107,c_18166,c_18206,c_18617,c_19176,c_19289,c_19311,+% 220.68/220.78 c_20081,c_20243,c_20396,c_20440,c_21221,c_21699,c_23054,+% 220.68/220.78 c_23125,c_23124,c_23181,c_23176,c_23529,c_23530,c_24269,+% 220.68/220.78 c_27071,c_27668,c_27673,c_27674,c_29140,c_29185,c_31852,+% 220.68/220.78 c_31860,c_32730,c_35056,c_45564,c_45888,c_47043,c_49848,+% 220.68/220.78 c_56460,c_62414,c_66850,c_72084,c_90448,c_99935,+% 220.68/220.78 c_133487,c_133544,c_137595,c_138028,c_142352,c_144212,+% 220.68/220.78 c_204646,c_229253]) ).+% 220.68/220.78 +% 220.68/220.82 cnf(c_3024128,plain,+% 220.68/220.82 ( op2(e23,e21) = e21 ),+% 220.68/220.82 inference(global_propositional_subsumption,+% 220.68/220.82 [status(thm)],+% 220.68/220.82 [c_50,c_257,c_256,c_255,c_242,c_240,c_237,c_203,c_201,+% 220.68/220.82 c_200,c_199,c_198,c_191,c_188,c_187,c_183,c_179,c_178,+% 220.68/220.82 c_176,c_166,c_164,c_155,c_153,c_149,c_146,c_95,c_90,+% 220.68/220.82 c_88,c_87,c_77,c_61,c_1865,c_16905,c_17261,c_17291,+% 220.68/220.82 c_17300,c_17349,c_17350,c_17427,c_17431,c_17476,c_17554,+% 220.68/220.82 c_17740,c_17790,c_17800,c_17816,c_18617,c_18656,c_18997,+% 220.68/220.82 c_19094,c_19246,c_19332,c_19335,c_19346,c_19400,c_20804,+% 220.68/220.82 c_20955,c_21017,c_21159,c_21422,c_21762,c_22510,c_23147,+% 220.68/220.82 c_23671,c_26105,c_26103,c_26603,c_26610,c_27237,c_27239,+% 220.68/220.82 c_27939,c_27945,c_29109,c_33231,c_33461,c_33694,c_33893,+% 220.68/220.82 c_34088,c_36100,c_38592,c_38580,c_38851,c_38896,c_38949,+% 220.68/220.82 c_39126,c_39778,c_44248,c_44653,c_48118,c_49003,c_51437,+% 220.68/220.82 c_68501,c_68975,c_68974,c_69423,c_69667,c_71340,c_95072,+% 220.68/220.82 c_99363,c_102572,c_107767,c_107924,c_112325,c_113093,+% 220.68/220.82 c_115073,c_138084,c_149258,c_149600,c_159160,c_159167,+% 220.68/220.82 c_178764,c_225198,c_247675,c_255252]) ).+% 220.68/220.82 +% 220.68/220.82 cnf(c_3024142,plain,+% 220.68/220.82 ( e21 = op2(e23,e21) ),+% 220.68/220.82 inference(resolution,[status(thm)],[c_3024128,c_3013688]) ).+% 220.68/220.82 +% 220.68/220.82 cnf(c_3040116,plain,+% 220.68/220.82 ( X0 != e21 | X1 != e23 | op2(X1,X0) = e21 ),+% 220.68/220.82 inference(resolution,[status(thm)],[c_3013887,c_3024142]) ).+% 220.68/220.82 +% 220.68/220.82 cnf(c_4196265,plain,+% 220.68/220.82 ( h3(e11) != e21 | h3(e13) != e23 ),+% 220.68/220.82 inference(resolution,[status(thm)],[c_4196255,c_3040116]) ).+% 220.68/220.82 +% 220.68/220.82 cnf(contradiction,plain,+% 220.68/220.82 ( $false ),+% 220.68/220.82 inference(minisat,+% 220.68/220.82 [status(thm)],+% 220.68/220.82 [c_4196265,c_230430,c_23530,c_23529,c_19176,c_18617,+% 220.68/220.82 c_16905,c_255,c_266]) ).+% 220.68/220.82 +% 220.68/220.82 +% 220.68/220.82 % SZS output end CNFRefutation+% 220.68/220.82 +% 220.68/220.82 ------ Statistics+% 220.68/220.82 +% 220.68/220.82 ------ General+% 220.68/220.82 +% 220.68/220.82 abstr_arg_filter_cycles: 0+% 220.68/220.82 gc_basic_clause_elim: 0+% 220.68/220.82 forced_gc_time: 0+% 220.68/220.82 parsing_time: 0.02+% 220.68/220.82 unif_index_cands_time: 4.777+% 220.68/220.82 unif_index_add_time: 0.794+% 220.68/220.82 out_proof_time: 5.133+% 220.68/220.82 total_time: 220.575+% 220.68/220.82 num_of_symbols: 60+% 220.68/220.82 num_of_terms: 1233139+% 220.68/220.82 +% 220.68/220.82 ------ Preprocessing+% 220.68/220.82 +% 220.68/220.82 num_of_splits: 0+% 220.68/220.82 num_of_split_atoms: 0+% 220.68/220.82 num_of_reused_defs: 0+% 220.68/220.82 num_eq_ax_congr_red: 0+% 220.68/220.82 num_of_sem_filtered_clauses: 3+% 220.68/220.82 num_of_subtypes: 1+% 220.68/220.82 monotx_restored_types: 0+% 220.68/220.82 sat_num_of_epr_types: 0+% 220.68/220.82 sat_num_of_non_cyclic_types: 0+% 220.68/220.82 sat_guarded_non_collapsed_types: 0+% 220.68/220.82 num_pure_diseq_elim: 0+% 220.68/220.82 simp_replaced_by: 0+% 220.68/220.82 res_preprocessed: 962+% 220.68/220.82 prep_upred: 0+% 220.68/220.82 prep_unflattend: 0+% 220.68/220.82 pred_elim_cands: 15+% 220.68/220.82 pred_elim: 0+% 220.68/220.82 pred_elim_cl: 0+% 220.68/220.82 pred_elim_cycles: 30+% 220.68/220.82 merged_defs: 0+% 220.68/220.82 merged_defs_ncl: 0+% 220.68/220.82 prep_cycles: 3+% 220.68/220.82 pred_elim_time: 0.563+% 220.68/220.82 splitting_time: 0.002+% 220.68/220.82 sem_filter_time: 0.022+% 220.68/220.82 monotx_time: 0.+% 220.68/220.82 subtype_inf_time: 0.+% 220.68/220.82 +% 220.68/220.82 ------ Problem properties+% 220.68/220.82 +% 220.68/220.82 clauses: 325+% 220.68/220.82 conjectures: 0+% 220.68/220.82 epr: 30+% 220.68/220.82 horn: 214+% 220.68/220.82 unary: 147+% 220.68/220.82 binary: 64+% 220.68/220.82 lits: 923+% 220.68/220.82 lits_eq: 812+% 220.68/220.82 +% 220.68/220.82 ------ Propositional Solver+% 220.68/220.82 +% 220.68/220.82 prop_solver_calls: 397+% 220.68/220.82 prop_fast_solver_calls: 1164306+% 220.68/220.82 prop_num_of_clauses: 736778+% 220.68/220.82 prop_preprocess_simplified: 4260624+% 220.68/220.82 prop_fo_subsumed: 216499+% 220.68/220.82 prop_solver_time: 7.298+% 220.68/220.82 prop_fast_solver_time: 38.485+% 220.68/220.82 prop_unsat_core_time: 0.107+% 220.68/220.82 +% 220.68/220.82 ------ QBF +% 220.68/220.82 +% 220.68/220.82 qbf_q_res: 0+% 220.68/220.82 qbf_num_tautologies: 0+% 220.68/220.82 qbf_prep_cycles: 0+% 220.68/220.82 +% 220.68/220.82 ------ BMC1+% 220.68/220.82 +% 220.68/220.82 bmc1_current_bound: -1+% 220.68/220.82 bmc1_last_solved_bound: -1+% 220.68/220.82 bmc1_unsat_core_size: -1+% 220.68/220.82 bmc1_unsat_core_parents_size: -1+% 220.68/220.82 bmc1_merge_next_fun: 0+% 220.68/220.82 bmc1_unsat_core_clauses_time: 0.+% 220.68/220.82 +% 220.68/220.82 ------ Instantiation+% 220.68/220.82 +% 220.68/220.82 inst_num_of_clauses: 120925+% 220.68/220.82 inst_num_in_passive: 101400+% 220.68/220.82 inst_num_in_active: 162095+% 220.68/220.82 inst_num_in_unprocessed: 10064+% 220.68/220.82 inst_num_of_loops: 165013+% 220.68/220.82 inst_num_of_learning_restarts: 15+% 220.68/220.82 inst_num_moves_active_passive: 2817+% 220.68/220.82 inst_lit_activity: 0+% 220.68/220.82 inst_lit_activity_moves: 6+% 220.68/220.82 inst_num_tautologies: 0+% 220.68/220.82 inst_num_prop_implied: 0+% 220.68/220.82 inst_num_existing_simplified: 0+% 220.68/220.82 inst_num_eq_res_simplified: 0+% 220.68/220.82 inst_num_child_elim: 0+% 220.68/220.82 inst_num_of_dismatching_blockings: 921726+% 220.68/220.82 inst_num_of_non_proper_insts: 713285+% 220.68/220.82 inst_num_of_duplicates: 668677+% 220.68/220.82 inst_inst_num_from_inst_to_res: 0+% 220.68/220.82 inst_dismatching_checking_time: 11.897+% 220.68/220.82 +% 220.68/220.82 ------ Resolution+% 220.68/220.82 +% 220.68/220.82 res_num_of_clauses: 165658+% 220.68/220.82 res_num_in_passive: 175944+% 220.68/220.82 res_num_in_active: 30282+% 220.68/220.82 res_num_of_loops: 42352+% 220.68/220.82 res_forward_subset_subsumed: 522929+% 220.68/220.82 res_backward_subset_subsumed: 62940+% 220.68/220.82 res_forward_subsumed: 1716+% 220.68/220.82 res_backward_subsumed: 25732+% 220.68/220.82 res_forward_subsumption_resolution: 0+% 220.68/220.82 res_backward_subsumption_resolution: 2098+% 220.68/220.82 res_clause_to_clause_subsumption: 661202+% 220.68/220.82 res_orphan_elimination: 0+% 220.68/220.82 res_tautology_del: 35354+% 220.68/220.82 res_num_eq_res_simplified: 4204+% 220.68/220.82 res_num_sel_changes: 21339+% 220.68/220.82 res_moves_from_active_to_pass: 52+% 220.68/220.82 +% 220.76/220.85 USED TIME: 220.56 CPU 220.61 WC+%------------------------------------------------------------------------------
+ test-data/tstp/tff/AGT004+2---Z3---4.4.1.THM-Prf.s view
@@ -0,0 +1,388 @@+%------------------------------------------------------------------------------+% File : Z3---4.4.1+% Problem : AGT004+2 : TPTP v6.4.0. Bugfixed v3.1.0.+% Transform : none+% Format : tptp+% Command : z3_tptp -proof -model -t:%d -file:%s++% Computer : n099.star.cs.uiowa.edu+% Model : x86_64 x86_64+% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz+% Memory : 32218.75MB+% OS : Linux 3.10.0-327.10.1.el7.x86_64+% CPULimit : 300s+% DateTime : Tue Jul 26 10:29:53 EDT 2016++% Result : Theorem 0.07s+% Output : Proof 0.07s+% Verified : +% Statistics : Number of formulae : 34 ( 34 expanded)+% Number of leaves : 19 ( 19 expanded)+% Depth : 8+% Number of atoms : 133 ( 133 expanded)+% Number of equality atoms : 0 ( 0 expanded)+% Maximal formula depth : 12 ( 7 average)+% Maximal term depth : 1 ( 1 average)++% Comments : +%------------------------------------------------------------------------------+%----WARNING: Z3---4.4.1 format not known, defaulting to TPTP+tff(accept_number_type,type,(+ accept_number: ( $i * $i ) > $o )).++tff(n5_type,type,(+ n5: $i )).++tff(countryamedicalorganization_type,type,(+ countryamedicalorganization: $i )).++tff(accept_leader_type,type,(+ accept_leader: ( $i * $i ) > $o )).++tff(countryahumanitarianorganization_type,type,(+ countryahumanitarianorganization: $i )).++tff(accept_city_type,type,(+ accept_city: ( $i * $i ) > $o )).++tff(coastvillage_type,type,(+ coastvillage: $i )).++tff(accept_team_type,type,(+ accept_team: ( $i * $i * $i * $i ) > $o )).++tff(1,axiom,(+ ~ accept_city(countryamedicalorganization,coastvillage) ),+ file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_13)).++tff(2,plain,+ ( ~ accept_city(countryamedicalorganization,coastvillage)+ | ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)+ | ~ accept_number(countryamedicalorganization,n5)+ | accept_city(countryamedicalorganization,coastvillage) ),+ inference(tautology,[status(thm)],[])).++tff(3,plain,+ ( ~ accept_city(countryamedicalorganization,coastvillage)+ | ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)+ | ~ accept_number(countryamedicalorganization,n5) ),+ inference(unit_resolution,[status(thm)],[2,1])).++tff(4,plain,+ ( ~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)+ <=> accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),+ inference(rewrite,[status(thm)],[])).++tff(5,axiom,(+ ~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_4)).++tff(6,plain,(+ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),+ inference(modus_ponens,[status(thm)],[5,4])).++tff(7,plain,+ ( ~ ( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)+ <=> ~ ( ~ accept_city(countryamedicalorganization,coastvillage)+ | ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)+ | ~ accept_number(countryamedicalorganization,n5) ) )+ | ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)+ | ~ ( ~ accept_city(countryamedicalorganization,coastvillage)+ | ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)+ | ~ accept_number(countryamedicalorganization,n5) ) ),+ inference(tautology,[status(thm)],[])).++tff(8,plain,(+ ~ ( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)+ <=> ~ ( ~ accept_city(countryamedicalorganization,coastvillage)+ | ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)+ | ~ accept_number(countryamedicalorganization,n5) ) ) ),+ inference(unit_resolution,[status(thm)],[7,6,3])).++tff(9,plain,(+ ! [X4: $i,X3: $i,X2: $i,X1: $i] :+ ( ( accept_team(X4,X1,X3,X2)+ <=> ~ ( ~ accept_city(X4,X3)+ | ~ accept_leader(X4,X1)+ | ~ accept_number(X4,X2) ) )+ <=> ( accept_team(X4,X1,X3,X2)+ <=> ~ ( ~ accept_city(X4,X3)+ | ~ accept_leader(X4,X1)+ | ~ accept_number(X4,X2) ) ) ) ),+ inference(reflexivity,[status(thm)],[])).++tff(10,plain,+ ( ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ~ ( ~ accept_city(A,C)+ | ~ accept_leader(A,L)+ | ~ accept_number(A,N) ) )+ <=> ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ~ ( ~ accept_city(A,C)+ | ~ accept_leader(A,L)+ | ~ accept_number(A,N) ) ) ),+ inference(quant_intro,[status(thm)],[9])).++tff(11,plain,(+ ! [X4: $i,X3: $i,X2: $i,X1: $i] :+ ( ( accept_city(X4,X3)+ & accept_leader(X4,X1)+ & accept_number(X4,X2) )+ <=> ~ ( ~ accept_city(X4,X3)+ | ~ accept_leader(X4,X1)+ | ~ accept_number(X4,X2) ) ) ),+ inference(rewrite,[status(thm)],[])).++tff(12,plain,(+ ! [X4: $i,X3: $i,X2: $i,X1: $i] :+ ( ( accept_team(X4,X1,X3,X2)+ <=> ( accept_city(X4,X3)+ & accept_leader(X4,X1)+ & accept_number(X4,X2) ) )+ <=> ( accept_team(X4,X1,X3,X2)+ <=> ~ ( ~ accept_city(X4,X3)+ | ~ accept_leader(X4,X1)+ | ~ accept_number(X4,X2) ) ) ) ),+ inference(monotonicity,[status(thm)],[11])).++tff(13,plain,+ ( ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ( accept_city(A,C)+ & accept_leader(A,L)+ & accept_number(A,N) ) )+ <=> ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ~ ( ~ accept_city(A,C)+ | ~ accept_leader(A,L)+ | ~ accept_number(A,N) ) ) ),+ inference(quant_intro,[status(thm)],[12])).++tff(14,plain,(+ ! [X4: $i,X3: $i,X2: $i,X1: $i] :+ ( ( accept_team(X4,X1,X3,X2)+ <=> ( accept_city(X4,X3)+ & accept_leader(X4,X1)+ & accept_number(X4,X2) ) )+ <=> ( accept_team(X4,X1,X3,X2)+ <=> ( accept_city(X4,X3)+ & accept_leader(X4,X1)+ & accept_number(X4,X2) ) ) ) ),+ inference(rewrite,[status(thm)],[])).++tff(15,plain,+ ( ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ( accept_city(A,C)+ & accept_leader(A,L)+ & accept_number(A,N) ) )+ <=> ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ( accept_city(A,C)+ & accept_leader(A,L)+ & accept_number(A,N) ) ) ),+ inference(quant_intro,[status(thm)],[14])).++tff(16,plain,(+ ! [X4: $i,X3: $i,X2: $i,X1: $i] :+ ( ( accept_city(X4,X3)+ & accept_leader(X4,X1)+ & accept_number(X4,X2) )+ <=> ( accept_city(X4,X3)+ & accept_leader(X4,X1)+ & accept_number(X4,X2) ) ) ),+ inference(rewrite,[status(thm)],[])).++tff(17,plain,(+ ! [X4: $i,X3: $i,X2: $i,X1: $i] :+ ( ( accept_team(X4,X1,X3,X2)+ <=> ( accept_city(X4,X3)+ & accept_leader(X4,X1)+ & accept_number(X4,X2) ) )+ <=> ( accept_team(X4,X1,X3,X2)+ <=> ( accept_city(X4,X3)+ & accept_leader(X4,X1)+ & accept_number(X4,X2) ) ) ) ),+ inference(monotonicity,[status(thm)],[16])).++tff(18,plain,+ ( ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ( accept_city(A,C)+ & accept_leader(A,L)+ & accept_number(A,N) ) )+ <=> ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ( accept_city(A,C)+ & accept_leader(A,L)+ & accept_number(A,N) ) ) ),+ inference(quant_intro,[status(thm)],[17])).++tff(19,axiom,(+ ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ( accept_city(A,C)+ & accept_leader(A,L)+ & accept_number(A,N) ) ) ),+ file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1)).++tff(20,plain,(+ ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ( accept_city(A,C)+ & accept_leader(A,L)+ & accept_number(A,N) ) ) ),+ inference(modus_ponens,[status(thm)],[19,18])).++tff(21,plain,(+ ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ( accept_city(A,C)+ & accept_leader(A,L)+ & accept_number(A,N) ) ) ),+ inference(modus_ponens,[status(thm)],[20,15])).++tff(22,plain,(+ ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ( accept_city(A,C)+ & accept_leader(A,L)+ & accept_number(A,N) ) ) ),+ inference(nnf,[status(sab)],[21])).++tff(23,plain,(+ ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ~ ( ~ accept_city(A,C)+ | ~ accept_leader(A,L)+ | ~ accept_number(A,N) ) ) ),+ inference(modus_ponens,[status(thm)],[22,13])).++tff(24,plain,(+ ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ~ ( ~ accept_city(A,C)+ | ~ accept_leader(A,L)+ | ~ accept_number(A,N) ) ) ),+ inference(modus_ponens,[status(thm)],[23,10])).++tff(25,plain,+ ( ~ ! [A: $i,C: $i,N: $i,L: $i] :+ ( accept_team(A,L,C,N)+ <=> ~ ( ~ accept_city(A,C)+ | ~ accept_leader(A,L)+ | ~ accept_number(A,N) ) )+ | ( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)+ <=> ~ ( ~ accept_city(countryamedicalorganization,coastvillage)+ | ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)+ | ~ accept_number(countryamedicalorganization,n5) ) ) ),+ inference(quant_inst,[status(thm)],[])).++tff(26,plain,(+ $false ),+ inference(unit_resolution,[status(thm)],[25,24,8])).+%------------------------------------------------------------------------------+%----ORIGINAL SYSTEM OUTPUT+% 0.00/0.03 % Problem : AGT004+2 : TPTP v6.4.0. Bugfixed v3.1.0.+% 0.00/0.04 % Command : z3_tptp -proof -model -t:%d -file:%s+% 0.02/0.23 % Computer : n099.star.cs.uiowa.edu+% 0.02/0.23 % Model : x86_64 x86_64+% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz+% 0.02/0.23 % Memory : 32218.75MB+% 0.02/0.23 % OS : Linux 3.10.0-327.10.1.el7.x86_64+% 0.02/0.23 % CPULimit : 300+% 0.02/0.23 % DateTime : Thu Jul 21 10:50:24 CDT 2016+% 0.02/0.23 % CPUTime : +% 0.07/0.33 % SZS status Theorem+% 0.07/0.33 % SZS output start Proof+% 0.07/0.33 tff(accept_number_type, type, (+% 0.07/0.33 accept_number: ( $i * $i ) > $o)).+% 0.07/0.33 tff(n5_type, type, (+% 0.07/0.33 n5: $i)).+% 0.07/0.33 tff(countryamedicalorganization_type, type, (+% 0.07/0.33 countryamedicalorganization: $i)).+% 0.07/0.33 tff(accept_leader_type, type, (+% 0.07/0.33 accept_leader: ( $i * $i ) > $o)).+% 0.07/0.33 tff(countryahumanitarianorganization_type, type, (+% 0.07/0.33 countryahumanitarianorganization: $i)).+% 0.07/0.33 tff(accept_city_type, type, (+% 0.07/0.33 accept_city: ( $i * $i ) > $o)).+% 0.07/0.33 tff(coastvillage_type, type, (+% 0.07/0.33 coastvillage: $i)).+% 0.07/0.33 tff(accept_team_type, type, (+% 0.07/0.33 accept_team: ( $i * $i * $i * $i ) > $o)).+% 0.07/0.33 tff(1,axiom,((~accept_city(countryamedicalorganization, coastvillage))), file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax','deduced_13')).+% 0.07/0.33 tff(2,plain,+% 0.07/0.33 ((((~accept_city(countryamedicalorganization, coastvillage)) | (~accept_leader(countryamedicalorganization, countryahumanitarianorganization)) | (~accept_number(countryamedicalorganization, n5))) | accept_city(countryamedicalorganization, coastvillage))),+% 0.07/0.33 inference(tautology,[status(thm)],[])).+% 0.07/0.33 tff(3,plain,+% 0.07/0.33 (((~accept_city(countryamedicalorganization, coastvillage)) | (~accept_leader(countryamedicalorganization, countryahumanitarianorganization)) | (~accept_number(countryamedicalorganization, n5)))),+% 0.07/0.33 inference(unit_resolution,[status(thm)],[2, 1])).+% 0.07/0.33 tff(4,plain,+% 0.07/0.33 (((~(~accept_team(countryamedicalorganization, countryahumanitarianorganization, coastvillage, n5))) <=> accept_team(countryamedicalorganization, countryahumanitarianorganization, coastvillage, n5))),+% 0.07/0.33 inference(rewrite,[status(thm)],[])).+% 0.07/0.33 tff(5,axiom,((~(~accept_team(countryamedicalorganization, countryahumanitarianorganization, coastvillage, n5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','query_4')).+% 0.07/0.33 tff(6,plain,+% 0.07/0.33 (accept_team(countryamedicalorganization, countryahumanitarianorganization, coastvillage, n5)),+% 0.07/0.33 inference(modus_ponens,[status(thm)],[5, 4])).+% 0.07/0.33 tff(7,plain,+% 0.07/0.33 (((~(accept_team(countryamedicalorganization, countryahumanitarianorganization, coastvillage, n5) <=> (~((~accept_city(countryamedicalorganization, coastvillage)) | (~accept_leader(countryamedicalorganization, countryahumanitarianorganization)) | (~accept_number(countryamedicalorganization, n5)))))) | (~accept_team(countryamedicalorganization, countryahumanitarianorganization, coastvillage, n5)) | (~((~accept_city(countryamedicalorganization, coastvillage)) | (~accept_leader(countryamedicalorganization, countryahumanitarianorganization)) | (~accept_number(countryamedicalorganization, n5)))))),+% 0.07/0.33 inference(tautology,[status(thm)],[])).+% 0.07/0.33 tff(8,plain,+% 0.07/0.33 ((~(accept_team(countryamedicalorganization, countryahumanitarianorganization, coastvillage, n5) <=> (~((~accept_city(countryamedicalorganization, coastvillage)) | (~accept_leader(countryamedicalorganization, countryahumanitarianorganization)) | (~accept_number(countryamedicalorganization, n5))))))),+% 0.07/0.33 inference(unit_resolution,[status(thm)],[7, 6, 3])).+% 0.07/0.33 tff(9,plain,+% 0.07/0.33 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((accept_team(X4, X1, X3, X2) <=> (~((~accept_city(X4, X3)) | (~accept_leader(X4, X1)) | (~accept_number(X4, X2))))) <=> (accept_team(X4, X1, X3, X2) <=> (~((~accept_city(X4, X3)) | (~accept_leader(X4, X1)) | (~accept_number(X4, X2))))))),+% 0.07/0.33 inference(reflexivity,[status(thm)],[])).+% 0.07/0.33 tff(10,plain,+% 0.07/0.33 ((![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))) <=> ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))))),+% 0.07/0.33 inference(quant_intro,[status(thm)],[9])).+% 0.07/0.33 tff(11,plain,+% 0.07/0.33 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((accept_city(X4, X3) & accept_leader(X4, X1) & accept_number(X4, X2)) <=> (~((~accept_city(X4, X3)) | (~accept_leader(X4, X1)) | (~accept_number(X4, X2)))))),+% 0.07/0.33 inference(rewrite,[status(thm)],[])).+% 0.07/0.33 tff(12,plain,+% 0.07/0.33 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((accept_team(X4, X1, X3, X2) <=> (accept_city(X4, X3) & accept_leader(X4, X1) & accept_number(X4, X2))) <=> (accept_team(X4, X1, X3, X2) <=> (~((~accept_city(X4, X3)) | (~accept_leader(X4, X1)) | (~accept_number(X4, X2))))))),+% 0.07/0.35 inference(monotonicity,[status(thm)],[11])).+% 0.07/0.35 tff(13,plain,+% 0.07/0.35 ((![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))))),+% 0.07/0.35 inference(quant_intro,[status(thm)],[12])).+% 0.07/0.35 tff(14,plain,+% 0.07/0.35 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((accept_team(X4, X1, X3, X2) <=> (accept_city(X4, X3) & accept_leader(X4, X1) & accept_number(X4, X2))) <=> (accept_team(X4, X1, X3, X2) <=> (accept_city(X4, X3) & accept_leader(X4, X1) & accept_number(X4, X2))))),+% 0.07/0.35 inference(rewrite,[status(thm)],[])).+% 0.07/0.35 tff(15,plain,+% 0.07/0.35 ((![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))))),+% 0.07/0.35 inference(quant_intro,[status(thm)],[14])).+% 0.07/0.35 tff(16,plain,+% 0.07/0.35 (![X4: $i, X3: $i, X2: $i, X1: $i] : (((accept_city(X4, X3) & accept_leader(X4, X1)) & accept_number(X4, X2)) <=> (accept_city(X4, X3) & accept_leader(X4, X1) & accept_number(X4, X2)))),+% 0.07/0.35 inference(rewrite,[status(thm)],[])).+% 0.07/0.35 tff(17,plain,+% 0.07/0.35 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((accept_team(X4, X1, X3, X2) <=> ((accept_city(X4, X3) & accept_leader(X4, X1)) & accept_number(X4, X2))) <=> (accept_team(X4, X1, X3, X2) <=> (accept_city(X4, X3) & accept_leader(X4, X1) & accept_number(X4, X2))))),+% 0.07/0.35 inference(monotonicity,[status(thm)],[16])).+% 0.07/0.35 tff(18,plain,+% 0.07/0.35 ((![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> ((accept_city(A, C) & accept_leader(A, L)) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))))),+% 0.07/0.35 inference(quant_intro,[status(thm)],[17])).+% 0.07/0.35 tff(19,axiom,(![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> ((accept_city(A, C) & accept_leader(A, L)) & accept_number(A, N)))), file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax','a1_1')).+% 0.07/0.35 tff(20,plain,+% 0.07/0.35 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),+% 0.07/0.35 inference(modus_ponens,[status(thm)],[19, 18])).+% 0.07/0.35 tff(21,plain,+% 0.07/0.35 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),+% 0.07/0.35 inference(modus_ponens,[status(thm)],[20, 15])).+% 0.07/0.35 tff(22,plain,(+% 0.07/0.35 ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),+% 0.07/0.35 inference(nnf,[status(sab)],[21])).+% 0.07/0.35 tff(23,plain,+% 0.07/0.35 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N)))))),+% 0.07/0.35 inference(modus_ponens,[status(thm)],[22, 13])).+% 0.07/0.35 tff(24,plain,+% 0.07/0.35 (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N)))))),+% 0.07/0.35 inference(modus_ponens,[status(thm)],[23, 10])).+% 0.07/0.35 tff(25,plain,+% 0.07/0.35 (((~![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N)))))) | (accept_team(countryamedicalorganization, countryahumanitarianorganization, coastvillage, n5) <=> (~((~accept_city(countryamedicalorganization, coastvillage)) | (~accept_leader(countryamedicalorganization, countryahumanitarianorganization)) | (~accept_number(countryamedicalorganization, n5))))))),+% 0.07/0.35 inference(quant_inst,[status(thm)],[])).+% 0.07/0.35 tff(26,plain,+% 0.07/0.35 ($false),+% 0.07/0.35 inference(unit_resolution,[status(thm)],[25, 24, 8])).+% 0.07/0.35 % SZS output end Proof+%------------------------------------------------------------------------------
+ test-data/tstp/tff/ALG039+1---Z3---4.4.1.THM-Prf.s view
@@ -0,0 +1,913 @@+%------------------------------------------------------------------------------+% File : Z3---4.4.1+% Problem : ALG039+1 : TPTP v6.4.0. Released v2.7.0.+% Transform : none+% Format : tptp+% Command : z3_tptp -proof -model -t:%d -file:%s++% Computer : n088.star.cs.uiowa.edu+% Model : x86_64 x86_64+% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz+% Memory : 32218.75MB+% OS : Linux 3.10.0-327.10.1.el7.x86_64+% CPULimit : 300s+% DateTime : Tue Jul 26 10:30:50 EDT 2016++% Result : Theorem 0.02s+% Output : Proof 0.07s+% Verified : +% Statistics : Number of formulae : 40 ( 63 expanded)+% Number of leaves : 19 ( 29 expanded)+% Depth : 15+% Number of atoms : 635 ( 939 expanded)+% Number of equality atoms : 624 ( 928 expanded)+% Maximal formula depth : 12 ( 6 average)+% Maximal term depth : 2 ( 2 average)++% Comments : +%------------------------------------------------------------------------------+%----WARNING: Z3---4.4.1 format not known, defaulting to TPTP+tff(e3_type,type,(+ e3: $i )).++tff(op_type,type,(+ op: ( $i * $i ) > $i )).++tff(e2_type,type,(+ e2: $i )).++tff(e1_type,type,(+ e1: $i )).++tff(e0_type,type,(+ e0: $i )).++tff(1,plain,+ ( ~ $true+ <=> $false ),+ inference(rewrite,[status(thm)],[])).++tff(2,plain,+ ( ~ $false+ <=> $true ),+ inference(rewrite,[status(thm)],[])).++tff(3,plain,+ ( ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) )+ <=> $false ),+ inference(rewrite,[status(thm)],[])).++tff(4,plain,+ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ <=> ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) ),+ inference(rewrite,[status(thm)],[])).++tff(5,plain,+ ( ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 )+ <=> ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ),+ inference(rewrite,[status(thm)],[])).++tff(6,plain,+ ( ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3 )+ <=> ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3 ) ),+ inference(rewrite,[status(thm)],[])).++tff(7,plain,+ ( ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 )+ <=> ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ),+ inference(monotonicity,[status(thm)],[6])).++tff(8,plain,+ ( ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 )+ <=> ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ),+ inference(transitivity,[status(thm)],[7,5])).++tff(9,plain,+ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 ) )+ <=> ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 ) ) ),+ inference(rewrite,[status(thm)],[])).++tff(10,plain,+ ( ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ <=> ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 ) ),+ inference(rewrite,[status(thm)],[])).++tff(11,plain,+ ( ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2 )+ <=> ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2 ) ),+ inference(rewrite,[status(thm)],[])).++tff(12,plain,+ ( ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ <=> ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 ) ),+ inference(monotonicity,[status(thm)],[11])).++tff(13,plain,+ ( ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ <=> ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 ) ),+ inference(transitivity,[status(thm)],[12,10])).++tff(14,plain,+ ( ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ <=> ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 ) ),+ inference(rewrite,[status(thm)],[])).++tff(15,plain,+ ( ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1 )+ <=> ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1 ) ),+ inference(rewrite,[status(thm)],[])).++tff(16,plain,+ ( ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ <=> ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 ) ),+ inference(monotonicity,[status(thm)],[15])).++tff(17,plain,+ ( ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ <=> ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 ) ),+ inference(transitivity,[status(thm)],[16,14])).++tff(18,plain,+ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ <=> ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 ) ),+ inference(rewrite,[status(thm)],[])).++tff(19,plain,+ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0 )+ <=> ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0 ) ),+ inference(rewrite,[status(thm)],[])).++tff(20,plain,+ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ <=> ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 ) ),+ inference(monotonicity,[status(thm)],[19])).++tff(21,plain,+ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ <=> ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 ) ),+ inference(transitivity,[status(thm)],[20,18])).++tff(22,plain,+ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 ) )+ <=> ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 ) ) ),+ inference(monotonicity,[status(thm)],[21,17])).++tff(23,plain,+ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 ) )+ <=> ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 ) ) ),+ inference(monotonicity,[status(thm)],[22,13])).++tff(24,plain,+ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 ) )+ <=> ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 ) ) ),+ inference(transitivity,[status(thm)],[23,9])).++tff(25,plain,+ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ <=> ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) ),+ inference(monotonicity,[status(thm)],[24,8])).++tff(26,plain,+ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ <=> ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) ),+ inference(transitivity,[status(thm)],[25,4])).++tff(27,plain,+ ( ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ <=> ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) ),+ inference(monotonicity,[status(thm)],[26])).++tff(28,plain,+ ( ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) )+ <=> ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) ) ),+ inference(monotonicity,[status(thm)],[26,27])).++tff(29,plain,+ ( ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) )+ <=> $false ),+ inference(transitivity,[status(thm)],[28,3])).++tff(30,plain,+ ( ~ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) )+ <=> ~ $false ),+ inference(monotonicity,[status(thm)],[29])).++tff(31,plain,+ ( ~ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) )+ <=> $true ),+ inference(transitivity,[status(thm)],[30,2])).++tff(32,plain,+ ( ~ ~ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) )+ <=> ~ $true ),+ inference(monotonicity,[status(thm)],[31])).++tff(33,plain,+ ( ~ ~ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) )+ <=> $false ),+ inference(transitivity,[status(thm)],[32,1])).++tff(34,axiom,(+ ~ ~ ( ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) )+ & ~ ( ( op(e0,e0) = e0+ & op(e1,e1) = e0+ & op(e2,e2) = e0+ & op(e3,e3) = e0 )+ | ( op(e0,e0) = e1+ & op(e1,e1) = e1+ & op(e2,e2) = e1+ & op(e3,e3) = e1 )+ | ( op(e0,e0) = e2+ & op(e1,e1) = e2+ & op(e2,e2) = e2+ & op(e3,e3) = e2 )+ | ( op(e0,e0) = e3+ & op(e1,e1) = e3+ & op(e2,e2) = e3+ & op(e3,e3) = e3 ) ) ) ),+ file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).++tff(35,plain,(+ $false ),+ inference(modus_ponens,[status(thm)],[34,33])).+%------------------------------------------------------------------------------+%----ORIGINAL SYSTEM OUTPUT+% 0.00/0.04 % Problem : ALG039+1 : TPTP v6.4.0. Released v2.7.0.+% 0.00/0.04 % Command : z3_tptp -proof -model -t:%d -file:%s+% 0.02/0.24 % Computer : n088.star.cs.uiowa.edu+% 0.02/0.24 % Model : x86_64 x86_64+% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz+% 0.02/0.24 % Memory : 32218.75MB+% 0.02/0.24 % OS : Linux 3.10.0-327.10.1.el7.x86_64+% 0.02/0.24 % CPULimit : 300+% 0.02/0.24 % DateTime : Thu Jul 21 10:50:10 CDT 2016+% 0.02/0.24 % CPUTime : +% 0.02/0.27 % SZS status Theorem+% 0.02/0.27 % SZS output start Proof+% 0.02/0.27 tff(e3_type, type, (+% 0.02/0.27 e3: $i)).+% 0.02/0.27 tff(op_type, type, (+% 0.02/0.27 op: ( $i * $i ) > $i)).+% 0.02/0.27 tff(e2_type, type, (+% 0.02/0.27 e2: $i)).+% 0.02/0.27 tff(e1_type, type, (+% 0.02/0.27 e1: $i)).+% 0.02/0.27 tff(e0_type, type, (+% 0.02/0.27 e0: $i)).+% 0.02/0.27 tff(1,plain,+% 0.02/0.27 (((~$true) <=> $false)),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(2,plain,+% 0.02/0.27 (((~$false) <=> $true)),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(3,plain,+% 0.02/0.27 ((((((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2)) | ((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3) & (op(e3, e3) = e3))) & (~(((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2)) | ((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3) & (op(e3, e3) = e3))))) <=> $false)),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(4,plain,+% 0.02/0.27 ((((((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2))) | ((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3) & (op(e3, e3) = e3))) <=> (((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2)) | ((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3) & (op(e3, e3) = e3))))),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(5,plain,+% 0.02/0.27 (((((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3)) & (op(e3, e3) = e3)) <=> ((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3) & (op(e3, e3) = e3)))),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(6,plain,+% 0.02/0.27 (((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) <=> ((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3)))),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(7,plain,+% 0.02/0.27 ((((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3)) <=> (((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3)) & (op(e3, e3) = e3)))),+% 0.02/0.27 inference(monotonicity,[status(thm)],[6])).+% 0.02/0.27 tff(8,plain,+% 0.02/0.27 ((((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3)) <=> ((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3) & (op(e3, e3) = e3)))),+% 0.02/0.27 inference(transitivity,[status(thm)],[7, 5])).+% 0.02/0.27 tff(9,plain,+% 0.02/0.27 ((((((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1))) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2))) <=> (((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2))))),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(10,plain,+% 0.02/0.27 (((((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2)) & (op(e3, e3) = e2)) <=> ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2)))),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(11,plain,+% 0.02/0.27 (((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) <=> ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2)))),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(12,plain,+% 0.02/0.27 ((((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2)) <=> (((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2)) & (op(e3, e3) = e2)))),+% 0.02/0.27 inference(monotonicity,[status(thm)],[11])).+% 0.02/0.27 tff(13,plain,+% 0.02/0.27 ((((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2)) <=> ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2)))),+% 0.02/0.27 inference(transitivity,[status(thm)],[12, 10])).+% 0.02/0.27 tff(14,plain,+% 0.02/0.27 (((((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1)) & (op(e3, e3) = e1)) <=> ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)))),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(15,plain,+% 0.02/0.27 (((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) <=> ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1)))),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(16,plain,+% 0.02/0.27 ((((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1)) <=> (((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1)) & (op(e3, e3) = e1)))),+% 0.02/0.27 inference(monotonicity,[status(thm)],[15])).+% 0.02/0.27 tff(17,plain,+% 0.02/0.27 ((((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1)) <=> ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)))),+% 0.02/0.27 inference(transitivity,[status(thm)],[16, 14])).+% 0.02/0.27 tff(18,plain,+% 0.02/0.27 (((((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) <=> ((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)))),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(19,plain,+% 0.02/0.27 (((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) <=> ((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0)))),+% 0.02/0.27 inference(rewrite,[status(thm)],[])).+% 0.02/0.27 tff(20,plain,+% 0.02/0.27 ((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) <=> (((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)))),+% 0.02/0.27 inference(monotonicity,[status(thm)],[19])).+% 0.02/0.27 tff(21,plain,+% 0.02/0.27 ((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) <=> ((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)))),+% 0.02/0.27 inference(transitivity,[status(thm)],[20, 18])).+% 0.02/0.27 tff(22,plain,+% 0.02/0.27 (((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) <=> (((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1))))),+% 0.02/0.27 inference(monotonicity,[status(thm)],[21, 17])).+% 0.02/0.27 tff(23,plain,+% 0.02/0.27 ((((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) <=> ((((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1))) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2))))),+% 0.02/0.27 inference(monotonicity,[status(thm)],[22, 13])).+% 0.02/0.27 tff(24,plain,+% 0.02/0.27 ((((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) <=> (((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2))))),+% 0.02/0.27 inference(transitivity,[status(thm)],[23, 9])).+% 0.02/0.27 tff(25,plain,+% 0.02/0.27 (((((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))) <=> ((((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2))) | ((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3) & (op(e3, e3) = e3))))),+% 0.02/0.28 inference(monotonicity,[status(thm)],[24, 8])).+% 0.02/0.28 tff(26,plain,+% 0.02/0.28 (((((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))) <=> (((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2)) | ((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3) & (op(e3, e3) = e3))))),+% 0.02/0.28 inference(transitivity,[status(thm)],[25, 4])).+% 0.02/0.28 tff(27,plain,+% 0.02/0.28 (((~(((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3)))) <=> (~(((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2)) | ((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3) & (op(e3, e3) = e3)))))),+% 0.02/0.28 inference(monotonicity,[status(thm)],[26])).+% 0.02/0.28 tff(28,plain,+% 0.02/0.28 ((((((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))) & (~(((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))))) <=> ((((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2)) | ((op(e0, e0) = e3) & (op(e1, e1) = e3) & +% (op(e2, e2) = e3) & (op(e3, e3) = e3))) & (~(((op(e0, e0) = e0) & (op(e1, e1) = e0) & (op(e2, e2) = e0) & (op(e3, e3) = e0)) | ((op(e0, e0) = e1) & (op(e1, e1) = e1) & (op(e2, e2) = e1) & (op(e3, e3) = e1)) | ((op(e0, e0) = e2) & (op(e1, e1) = e2) & (op(e2, e2) = e2) & (op(e3, e3) = e2)) | ((op(e0, e0) = e3) & (op(e1, e1) = e3) & (op(e2, e2) = e3) & (op(e3, e3) = e3))))))),+% 0.02/0.28 inference(monotonicity,[status(thm)],[26, 27])).+% 0.02/0.28 tff(29,plain,+% 0.02/0.28 ((((((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))) & (~(((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))))) <=> $false)),+% 0.02/0.28 inference(transitivity,[status(thm)],[28, 3])).+% 0.02/0.28 tff(30,plain,+% 0.02/0.28 (((~((((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))) & (~(((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3)))))) <=> (~$false))),+% 0.07/0.29 inference(monotonicity,[status(thm)],[29])).+% 0.07/0.29 tff(31,plain,+% 0.07/0.29 (((~((((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))) & (~(((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3)))))) <=> $true)),+% 0.07/0.29 inference(transitivity,[status(thm)],[30, 2])).+% 0.07/0.29 tff(32,plain,+% 0.07/0.29 (((~(~((((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))) & (~(((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))))))) <=> (~$true))),+% 0.07/0.29 inference(monotonicity,[status(thm)],[31])).+% 0.07/0.29 tff(33,plain,+% 0.07/0.29 (((~(~((((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))) & (~(((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))))))) <=> $false)),+% 0.07/0.29 inference(transitivity,[status(thm)],[32, 1])).+% 0.07/0.29 tff(34,axiom,((~(~((((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3))) & (~(((((((op(e0, e0) = e0) & (op(e1, e1) = e0)) & (op(e2, e2) = e0)) & (op(e3, e3) = e0)) | ((((op(e0, e0) = e1) & (op(e1, e1) = e1)) & (op(e2, e2) = e1)) & (op(e3, e3) = e1))) | ((((op(e0, e0) = e2) & (op(e1, e1) = e2)) & (op(e2, e2) = e2)) & (op(e3, e3) = e2))) | ((((op(e0, e0) = e3) & (op(e1, e1) = e3)) & (op(e2, e2) = e3)) & (op(e3, e3) = e3)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co1')).+% 0.07/0.29 tff(35,plain,+% 0.07/0.29 ($false),+% 0.07/0.29 inference(modus_ponens,[status(thm)],[34, 33])).+% 0.07/0.29 % SZS output end Proof+%------------------------------------------------------------------------------
+ test/DocTests/Main.hs view
@@ -0,0 +1,6 @@+module Main where++import Test.DocTest (doctest)++main :: IO ()+main = doctest ["-isrc", "--fast", "src/Data/TPTP.hs"]
+ test/ParseTPTPLibrary/Main.hs view
@@ -0,0 +1,97 @@+{-# LANGUAGE OverloadedStrings #-}+{-# LANGUAGE LambdaCase #-}++-- |+-- Module : Main+-- Description : Run the TPTP parser on the entire TPTP library.+-- Copyright : (c) Evgenii Kotelnikov, 2019+-- License : GPL-3+-- Maintainer : evgeny.kotelnikov@gmail.com+-- Stability : experimental+--++module Main where++import System.Directory+import System.Environment+import System.IO++import Control.Monad.Extra++import Data.List (isSuffixOf)+import Data.Text (Text, isInfixOf)+import Text.Printf+import qualified Data.Text.IO as Text.IO+import Data.TPTP.Parse.Text (parseTPTPOnly)++data Result+ = Success+ | Failure String+ | Skipped+ deriving (Show, Eq, Ord)++unsupportedFile :: Text -> Bool+unsupportedFile contents = "thf" `isInfixOf` contents++parseInput :: Text -> Result+parseInput input+ | unsupportedFile input = Skipped+ | otherwise = either Failure (const Success) (parseTPTPOnly input)++printResult :: Result -> IO ()+printResult = \case+ Success -> putStrLn "OK"+ Failure e -> putStrLn "FAIL" >> hPutStrLn stderr ("Error: " ++ e)+ Skipped -> putStrLn "SKIP"++parseFile :: FilePath -> IO Result+parseFile fp = do+ input <- Text.IO.readFile fp+ putStr (fp ++ "\t")+ let result = parseInput input+ printResult result+ return result++listDirectory' :: FilePath -> IO [FilePath]+listDirectory' dir = do+ files <- listDirectory dir+ return [dir ++ "/" ++ file | file <- files]++tptpAxioms :: FilePath -> IO [FilePath]+tptpAxioms libraryPath = listDirectory' (libraryPath ++ "/" ++ "Axioms")++tptpProblems :: FilePath -> IO [FilePath]+tptpProblems libraryPath = listDirectory' (libraryPath ++ "/" ++ "Problems")+ >>= concatMapM listDirectory'++tptpSolutions :: FilePath -> IO [FilePath]+tptpSolutions libraryPath = listDirectory' (libraryPath ++ "/" ++ "Solutions")+ >>= concatMapM listDirectory'+ >>= concatMapM listDirectory'++isTptpFile :: FilePath -> IO Bool+isTptpFile file = do+ isFile <- doesFileExist file+ return $ isFile && any (`isSuffixOf` file) [".p", ".ax", ".rm", ".s"]++main :: IO ()+main = do+ args <- getArgs+ let tptpLibraryPath = head args+ -- axioms <- tptpAxioms tptpLibraryPath+ -- problems <- tptpProblems tptpLibraryPath+ solutions <- tptpSolutions tptpLibraryPath+ tptpFiles <- filterM isTptpFile solutions -- (axioms ++ problems)+ results <- mapM parseFile tptpFiles+ let (successful, failed, skipped) = statistic results+ let total = successful + failed + skipped+ putStrLn $ printf "Total: %d (%d successful, %d failed, %d skipped)"+ total successful failed skipped++statistic :: [Result] -> (Int, Int, Int)+statistic = foldl update (0, 0, 0)+ where+ update (s, f, u) = \case+ Success -> (s + 1, f, u)+ Failure{} -> (s, f + 1, u)+ Skipped -> (s, f, u + 1)
+ test/Parser/Main.hs view
@@ -0,0 +1,27 @@+module Main where++-- |+-- Module : Main+-- Description : Parse TPTP input either from a file or stdin.+-- Copyright : (c) Evgenii Kotelnikov, 2019+-- License : GPL-3+-- Maintainer : evgeny.kotelnikov@gmail.com+-- Stability : experimental+--++import System.Environment (getArgs)+import System.Exit (exitSuccess, exitFailure)+import System.IO (stderr, hPutStrLn)+import Data.Maybe (listToMaybe)+import qualified Data.Text.IO as Text.IO+import Data.TPTP.Parse.Text (parseTPTPOnly)++main :: IO ()+main = do+ args <- getArgs+ input <- case listToMaybe args of+ Just f -> Text.IO.readFile f+ Nothing -> Text.IO.getContents+ case parseTPTPOnly input of+ Left e -> hPutStrLn stderr e >> exitFailure+ Right _ -> putStrLn "OK" >> exitSuccess
+ test/QuickCheckSpec/Generators.hs view
@@ -0,0 +1,263 @@+{-# OPTIONS_GHC -fno-warn-orphans #-}+{-# LANGUAGE DeriveGeneric #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE LambdaCase #-}++-- |+-- Module : Generators+-- Description : QuickCheck generators for datatypes in the tptp library.+-- Copyright : (c) Evgenii Kotelnikov, 2019+-- License : GPL-3+-- Maintainer : evgeny.kotelnikov@gmail.com+-- Stability : experimental+--++module Generators () where++import GHC.Generics (Generic)+import Generic.Random (genericArbitraryU, genericArbitraryRec, (%))+import Data.Bitraversable (bitraverse)+import Data.List.NonEmpty (NonEmpty(..))+import Data.Scientific (Scientific, scientific)+import Data.Text (Text, pack, cons)+import Test.QuickCheck (Arbitrary(..), shrinkList, Gen,+ oneof, choose, suchThat, listOf, listOf1)++import Data.TPTP+++-- * Helpers++instance Arbitrary s => Arbitrary (NonEmpty s) where+ arbitrary = genericArbitraryRec (1 % ())++deriving instance Generic (Name s)+instance (Named s, Enum s, Bounded s, Arbitrary s) => Arbitrary (Name s) where+ arbitrary = genericArbitraryU++shrinkMaybe :: (a -> [a]) -> Maybe a -> [Maybe a]+shrinkMaybe s = \case+ Nothing -> []+ Just a -> Nothing : fmap Just (s a)++lowerAlpha, upperAlpha, printable, numeric, alphaNumeric :: Gen Char+lowerAlpha = choose ('a', 'z')+upperAlpha = choose ('A', 'Z')+numeric = choose ('0', '9')+printable = choose (' ', '~')+alphaNumeric = oneof [pure '_', lowerAlpha, upperAlpha, numeric]++lowerWord, upperWord, listOfPrintable, listOfPrintable1 :: Gen Text+lowerWord = cons <$> lowerAlpha <*> (pack <$> listOf alphaNumeric)+upperWord = cons <$> upperAlpha <*> (pack <$> listOf alphaNumeric)+listOfPrintable = pack <$> listOf printable+listOfPrintable1 = pack <$> listOf1 printable+++-- * Names++instance Arbitrary Atom where+ arbitrary = Atom <$> oneof [lowerWord, listOfPrintable1]++instance Arbitrary Var where+ arbitrary = Var <$> upperWord++instance Arbitrary DistinctObject where+ arbitrary = DistinctObject <$> listOfPrintable++deriving instance Generic (Reserved s)+instance (Arbitrary s, Named s, Enum s, Bounded s) => Arbitrary (Reserved s) where+ arbitrary = oneof [+ Standard <$> arbitrary,+ extended <$> lowerWord+ ]++deriving instance Generic Function+instance Arbitrary Function where+ arbitrary = genericArbitraryU++deriving instance Generic Predicate+instance Arbitrary Predicate where+ arbitrary = genericArbitraryU+++-- * Sorts and types++deriving instance Generic Sort+instance Arbitrary Sort where+ arbitrary = genericArbitraryU++deriving instance Generic TFF1Sort+instance Arbitrary TFF1Sort where+ arbitrary = genericArbitraryRec (1 % 1 % ())+ shrink = \case+ SortVariable{} -> []+ TFF1Sort f ss -> ss ++ (TFF1Sort f <$> shrinkList shrink ss)++deriving instance Generic Type+instance Arbitrary Type where+ arbitrary = genericArbitraryU+ shrink = \case+ Type as r -> Type <$> shrinkList shrink as <*> shrink r+ TFF1Type vs as r -> TFF1Type <$> shrink vs <*> shrinkList shrink as <*> shrink r+++-- * First-order logic++instance Arbitrary Scientific where+ arbitrary = scientific <$> arbitrary <*> arbitrary++instance Arbitrary Number where+ arbitrary = oneof [+ IntegerConstant <$> arbitrary,+ RationalConstant <$> arbitrary <*> arbitrary `suchThat` (> 0),+ RealConstant <$> arbitrary+ ]++deriving instance Generic Term+instance Arbitrary Term where+ arbitrary = genericArbitraryRec (2 % 3 % 1 % 1 % ())+ shrink = \case+ Function f ts -> ts ++ (Function f <$> shrinkList shrink ts)+ _ -> []++deriving instance Generic Literal+instance Arbitrary Literal where+ arbitrary = genericArbitraryU+ shrink = \case+ Predicate p ts -> Predicate p <$> shrinkList shrink ts+ Equality a s b -> Equality <$> shrink a <*> pure s <*> shrink b++deriving instance Generic Sign+instance Arbitrary Sign where+ arbitrary = genericArbitraryU++deriving instance Generic Clause+instance Arbitrary Clause where+ arbitrary = genericArbitraryU+ shrink (Clause ls) = Clause <$> shrink ls++deriving instance Generic Quantifier+instance Arbitrary Quantifier where+ arbitrary = genericArbitraryU++deriving instance Generic Connective+instance Arbitrary Connective where+ arbitrary = genericArbitraryU++deriving instance Generic Unsorted+instance Arbitrary Unsorted where+ arbitrary = genericArbitraryU++deriving instance Generic (Sorted s)+instance Arbitrary s => Arbitrary (Sorted s) where+ arbitrary = genericArbitraryU+ shrink (Sorted s) = Sorted <$> shrinkMaybe shrink s++deriving instance Generic QuantifiedSort+instance Arbitrary QuantifiedSort where+ arbitrary = genericArbitraryU+ shrink _ = []++deriving instance Generic (FirstOrder s)+instance Arbitrary s => Arbitrary (FirstOrder s) where+ arbitrary = genericArbitraryRec (3 % 2 % 2 % 1 % ())+ shrink = \case+ Atomic l -> Atomic <$> shrink l+ Negated f -> f : (Negated <$> shrink f)+ Quantified q vs f -> f : (Quantified q vs <$> shrink f)+ Connected f c g -> f : g : (Connected <$> shrink f <*> pure c <*> shrink g)+++-- * Units++deriving instance Generic Formula+instance Arbitrary Formula where+ arbitrary = genericArbitraryU+ shrink = \case+ CNF c -> CNF <$> shrink c+ FOF f -> FOF <$> shrink f+ TFF0 f -> TFF0 <$> shrink f+ TFF1 f -> TFF1 <$> shrink f++deriving instance Generic Role+instance Arbitrary Role where+ arbitrary = genericArbitraryU++deriving instance Generic Declaration+instance Arbitrary Declaration where+ arbitrary = oneof [+ Sort <$> arbitrary <*> choose (0, 3),+ Typing <$> arbitrary <*> arbitrary,+ Formula <$> arbitrary <*> arbitrary+ ]+ shrink = \case+ Sort a n -> Sort a <$> shrink n+ Typing n t -> Typing n <$> shrink t+ Formula r f -> Formula r <$> shrink f++deriving instance Generic Unit+instance Arbitrary Unit where+ arbitrary = genericArbitraryU+ shrink = \case+ Include f ns -> Include f <$> shrink ns+ Unit n d a -> Unit n <$> shrink d <*> shrinkAnnotation a+ where+ shrinkAnnotation = shrinkMaybe $ bitraverse shrink (shrinkMaybe shrink)++deriving instance Generic TPTP+instance Arbitrary TPTP where+ arbitrary = genericArbitraryU+ shrink (TPTP us) = TPTP <$> shrinkList shrink us+++-- * Annotations++deriving instance Generic Intro+instance Arbitrary Intro where+ arbitrary = genericArbitraryU++deriving instance Generic Status+instance Arbitrary Status where+ arbitrary = genericArbitraryU++deriving instance Generic Info+instance Arbitrary Info where+ arbitrary = genericArbitraryRec (1 % 1 % 1 % 1 % 1 % 1 % 1 % 1 % 1 % 1 % 1 % ())+ shrink = \case+ Description{} -> []+ Iquote{} -> []+ Status{} -> []+ Refutation{} -> []+ InfoNumber{} -> []+ Assumptions un -> Assumptions <$> shrink un+ NewSymbols n ss -> NewSymbols n <$> shrink ss+ Expression e -> Expression <$> shrink e+ Bind v e -> Bind v <$> shrink e+ Application f as -> Application f <$> shrinkList shrink as+ Infos is -> Infos <$> shrinkList shrink is++deriving instance Generic Source+instance Arbitrary Source where+ arbitrary = genericArbitraryRec (1 % 1 % 1 % 1 % 1 % 1 % 1 % ())+ shrink = \case+ UnknownSource -> []+ UnitSource{} -> []+ File{} -> []+ Theory n is -> Theory n <$> shrinkMaybe shrink is+ Creator n is -> Creator n <$> shrinkMaybe shrink is+ Introduced i is -> Introduced i <$> shrinkMaybe shrink is+ Inference n i ps -> Inference n <$> shrink i <*> ps'+ where ps' = concatMap (shrinkList shrink) (shrink ps)++deriving instance Generic Parent+instance Arbitrary Parent where+ arbitrary = genericArbitraryRec (1 % ())+ shrink (Parent s i) = Parent <$> shrink s <*> shrinkList shrink i++deriving instance Generic Expression+instance Arbitrary Expression where+ arbitrary = genericArbitraryRec (2 % 1 % ())+ shrink = \case+ Logical f -> Logical <$> shrink f+ Term t -> Term <$> shrink t
+ test/QuickCheckSpec/Main.hs view
@@ -0,0 +1,140 @@+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE OverloadedStrings #-}++-- |+-- Module : Main+-- Description : QuickCheck specification for the tptp library.+-- Copyright : (c) Evgenii Kotelnikov, 2019+-- License : GPL-3+-- Maintainer : evgeny.kotelnikov@gmail.com+-- Stability : experimental+--+-- Defines properties of the tptp library and runs QuickCheck on them.+--++module Main where++import Data.Attoparsec.Text (Parser, parseOnly, endOfInput)+import Data.Text.Prettyprint.Doc (layoutPretty, defaultLayoutOptions)+import Data.Text.Prettyprint.Doc.Render.Text (renderStrict)+import Test.QuickCheck (Property, Args(..), stdArgs, (===), whenFail,+ forAllProperties, quickCheckWithResult)++import Data.TPTP hiding (clause)+import Data.TPTP.Parse.Combinators+import Data.TPTP.Pretty++import Generators ()+import Normalizers++-- * Helper functions++-- | Idempotent parsing / pretty printing modulo normalization+ippModulo :: (Show a, Eq a, Pretty a) => (a -> a) -> Parser a -> a -> Property+ippModulo normalize p a =+ whenFail (print t) $ case parseOnly (p <* endOfInput) t of+ Left err -> whenFail (putStrLn $ "Parsing error: " ++ err) False+ Right a' -> normalize a' === normalize a+ where+ t = renderStrict $ layoutPretty defaultLayoutOptions (pretty a)++-- | Idempotent parsing / pretty printing+ipp :: (Show a, Eq a, Pretty a) => Parser a -> a -> Property+ipp = ippModulo id+++-- * Properties++-- ** Generators++prop_validAtom :: Atom -> Bool+prop_validAtom (Atom t) = isValidAtom t++prop_validVar :: Var -> Bool+prop_validVar (Var t) = isValidVar t++prop_validDistinctObject :: DistinctObject -> Bool+prop_validDistinctObject (DistinctObject t) = isValidDistinctObject t+++-- ** Names++prop_ipp_Atom :: Atom -> Property+prop_ipp_Atom = ipp atom++prop_ipp_Var :: Var -> Property+prop_ipp_Var = ipp var++prop_ipp_DistinctObject :: DistinctObject -> Property+prop_ipp_DistinctObject = ipp distinctObject++prop_ipp_Function :: Name Function -> Property+prop_ipp_Function = ipp function++prop_ipp_Predicate :: Name Predicate -> Property+prop_ipp_Predicate = ipp predicate+++-- ** Sorts and types++prop_ipp_Sort :: Name Sort -> Property+prop_ipp_Sort = ipp sort++prop_ipp_TFF1Sort :: TFF1Sort -> Property+prop_ipp_TFF1Sort = ipp tff1Sort++prop_ipp_Type :: Type -> Property+prop_ipp_Type = ippModulo normalizeType type_+++-- ** First-order logic++prop_ipp_Number :: Number -> Property+prop_ipp_Number = ipp number++prop_ipp_Term :: Term -> Property+prop_ipp_Term = ipp term++prop_ipp_Literal :: Literal -> Property+prop_ipp_Literal = ipp literal++prop_ipp_Clause :: Clause -> Property+prop_ipp_Clause = ipp clause++prop_ipp_UnsortedFO :: UnsortedFirstOrder -> Property+prop_ipp_UnsortedFO = ippModulo reassociate unsortedFirstOrder++prop_ipp_MonomorphicFO :: MonomorphicFirstOrder -> Property+prop_ipp_MonomorphicFO = ippModulo reassociate monomorphicFirstOrder++prop_ipp_PolymorphicFO :: PolymorphicFirstOrder -> Property+prop_ipp_PolymorphicFO = ippModulo reassociate polymorphicFirstOrder+++-- ** Units++prop_ipp_Unit :: Unit -> Property+prop_ipp_Unit = ippModulo normalizeUnit unit++prop_ipp_TPTP :: TPTP -> Property+prop_ipp_TPTP = ippModulo normalizeTPTP tptp+++-- ** Annotations++prop_ipp_Parent :: Parent -> Property+prop_ipp_Parent = ippModulo normalizeParent parent++prop_ipp_Source :: Source -> Property+prop_ipp_Source = ippModulo normalizeSource source++prop_ipp_Info :: Info -> Property+prop_ipp_Info = ippModulo normalizeInfo info+++-- * Runner++return []++main :: IO Bool+main = $forAllProperties $ quickCheckWithResult stdArgs{maxSuccess=1000}
+ test/QuickCheckSpec/Normalizers.hs view
@@ -0,0 +1,99 @@+{-# LANGUAGE LambdaCase #-}++-- |+-- Module : Normalizers+-- Description : Normalization of the Data.TPTP datatypes.+-- Copyright : (c) Evgenii Kotelnikov, 2019+-- License : GPL-3+-- Maintainer : evgeny.kotelnikov@gmail.com+-- Stability : experimental+--+-- Provides functions that make applications of associative logical connectives+-- left-associative. These functions are needed for testing in the 'Main' module+--++module Normalizers (+ reassociate,+ normalizeType,+ normalizeUnit,+ normalizeTPTP,+ normalizeSource,+ normalizeInfo,+ normalizeParent+) where++import Data.TPTP+++-- * First-order logic++-- | 'reassociate' makes applications of associative connectives+-- left associative+reassociate :: FirstOrder s -> FirstOrder s+reassociate = \case+ Atomic l -> Atomic l+ Negated f -> Negated (reassociate f)+ Quantified q vs f -> Quantified q vs (reassociate f)+ Connected f c (Connected g c' h) | c == c' && isAssociative c ->+ reassociate (Connected (Connected f c g) c h)+ Connected f c g -> Connected (reassociate f) c (reassociate g)+++-- * Units++normalizeFormula :: Formula -> Formula+normalizeFormula = \case+ CNF c -> CNF c+ FOF uf -> FOF (reassociate uf)+ TFF0 sf -> TFF0 (reassociate sf)+ TFF1 sf -> case monomorphizeFirstOrder sf of+ Nothing -> TFF1 (reassociate sf)+ Just sf' -> TFF0 (reassociate sf')++normalizeType :: Type -> Type+normalizeType = \case+ TFF1Type vs ss s -> tff1Type vs ss s+ t -> t++normalizeDeclaration :: Declaration -> Declaration+normalizeDeclaration = \case+ Formula r f -> Formula r (normalizeFormula f)+ Typing a t -> Typing a (normalizeType t)+ d -> d++normalizeUnit :: Unit -> Unit+normalizeUnit = \case+ Include f ns -> Include f ns+ Unit n d a -> Unit n (normalizeDeclaration d) (normalizeAnn a)+ where+ normalizeAnn = fmap $ \(s, i) -> (normalizeSource s, fmap (fmap normalizeInfo) i)++normalizeTPTP :: TPTP -> TPTP+normalizeTPTP (TPTP us) = TPTP (fmap normalizeUnit us)+++-- * Annotations++normalizeSource :: Source -> Source+normalizeSource = \case+ Theory f i -> Theory f (fmap (fmap normalizeInfo) i)+ Creator f i -> Creator f (fmap (fmap normalizeInfo) i)+ Introduced i inf -> Introduced i (fmap (fmap normalizeInfo) inf)+ Inference f i ps -> Inference f (fmap normalizeInfo i) (fmap normalizeParent ps)+ s -> s++normalizeParent :: Parent -> Parent+normalizeParent (Parent s i) = Parent (normalizeSource s) (fmap normalizeInfo i)++normalizeExpression :: Expression -> Expression+normalizeExpression = \case+ Logical f -> Logical (normalizeFormula f)+ Term t -> Term t++normalizeInfo :: Info -> Info+normalizeInfo = \case+ Expression e -> Expression (normalizeExpression e)+ Bind v e -> Bind v (normalizeExpression e)+ Application f is -> Application f (fmap normalizeInfo is)+ Infos is -> Infos (fmap normalizeInfo is)+ i -> i
+ test/UnitTests.hs view
@@ -0,0 +1,66 @@+{-# LANGUAGE OverloadedStrings #-}+{-# LANGUAGE TupleSections #-}++-- |+-- Module : UnitTests+-- Description : Run the TPTP parser on selected examples from the TPTP World.+-- Copyright : (c) Evgenii Kotelnikov, 2019+-- License : GPL-3+-- Maintainer : evgeny.kotelnikov@gmail.com+-- Stability : experimental+--++module UnitTests (tests) where++import Distribution.TestSuite (Test(..), TestInstance(..),+ Progress(..), Result(..))++import System.Directory (listDirectory)++import Data.Text (Text)+import qualified Data.Text.IO as Text.IO (readFile)+import Data.List (intercalate)+import Control.Monad.Extra (concatMapM)++import Data.TPTP.Parse.Text++testDataDir :: FilePath+testDataDir = "test-data"++listTestDirectory :: FilePath -> IO [FilePath]+listTestDirectory d = listDirectory (testDataDir ++ "/" ++ d)++readTestFile :: FilePath -> IO Text+readTestFile f = Text.IO.readFile (testDataDir ++ "/" ++ f)++parseFile :: FilePath -> IO Result+parseFile path = buildResult . parseTPTPOnly <$> readTestFile path+ where+ buildResult (Left e) = Error e+ buildResult (Right _) = Pass++type TestCase = (FilePath, FilePath, FilePath)++testFile :: TestCase -> Test+testFile (space, lang, file) = Test $ TestInstance {+ run = Finished <$> parseFile path,+ name = path,+ tags = [space, lang],+ options = [],+ setOption = const . const $ Left "not supported"+} where path = intercalate "/" [space, lang, file]++listSpaces :: IO [FilePath]+listSpaces = listTestDirectory ""++listLangs :: FilePath -> IO [(FilePath, FilePath)]+listLangs s = fmap (s,) <$> listTestDirectory s++listFiles :: (FilePath, FilePath) -> IO [(FilePath, FilePath, FilePath)]+listFiles (s, l) = fmap (s, l,) <$> listTestDirectory (s ++ "/" ++ l)++cases :: IO [TestCase]+cases = listSpaces >>= concatMapM listLangs >>= concatMapM listFiles++tests :: IO [Test]+tests = fmap testFile <$> cases
+ tptp.cabal view
@@ -0,0 +1,155 @@+cabal-version: 2.4+name: tptp+version: 0.1.0.0+synopsis: A parser and a pretty printer for the TPTP language+description:+ <http://www.tptp.org TPTP> (Thousands of Problems for Theorem Provers)+ is the standard language of problems, proofs, and models, used by automated+ theorem provers.+ .+ This library provides definitions of data types, a pretty printer and an+ <http://hackage.haskell.org/package/attoparsec attoparsec> parser for+ (currently, a subset of) the TPTP language.+homepage: https://github.com/aztek/tptp+bug-reports: https://github.com/aztek/tptp/issues+license: GPL-3.0-only+license-file: LICENSE+author: Evgenii Kotelnikov+maintainer: evgeny.kotelnikov@gmail.com+category: Language, Parsing, Pretty Printer, Theorem Provers, Formal Methods+extra-source-files: README.md+tested-with:+ GHC == 7.10.3,+ GHC == 8.0.2,+ GHC == 8.2.2,+ GHC == 8.4.4,+ GHC == 8.6.3++extra-source-files:+ CHANGELOG.md+ test/*.hs+ test/**/*.hs+ test-data/tptp/**/*.ax+ test-data/tptp/**/*.p+ test-data/tstp/**/*.s++source-repository head+ type: git+ location: git://github.com/aztek/tptp.git++flag Werror+ default: False+ manual: True++library+ hs-source-dirs: src+ default-language: Haskell2010+ exposed-modules:+ Data.TPTP+ Data.TPTP.Parse.Combinators+ Data.TPTP.Parse.Text+ Data.TPTP.Parse.Text.Lazy+ Data.TPTP.Pretty+ ghc-options:+ -Wall+ if flag(Werror)+ ghc-options: -Werror+ build-depends:+ base >= 4.5 && < 5.0,+ text >= 1.2.3 && < 1.3,+ attoparsec >= 0.13.2 && < 0.14,+ scientific >= 0.3.6 && < 0.4,+ prettyprinter >= 1.2.1 && < 1.3,+ if impl(ghc < 8)+ build-depends:+ semigroups >= 0.16.1 && < 0.19++test-suite quickcheck-spec+ type: exitcode-stdio-1.0+ hs-source-dirs: test/QuickCheckSpec+ default-language: Haskell2010+ main-is: Main.hs+ other-modules:+ Generators+ Normalizers+ ghc-options:+ -Wall -threaded+ if flag(Werror)+ ghc-options: -Werror+ build-depends:+ base,+ text,+ attoparsec,+ scientific,+ prettyprinter,+ generic-random >= 1.2.0.0 && < 1.3,+ QuickCheck >= 2.4 && < 3.0,+ tptp+ if impl(ghc < 8)+ build-depends:+ semigroups+ if impl(ghc < 8.2)+ build-depends:+ bifunctors >= 3.0.1 && < 6++test-suite unit-tests+ type: detailed-0.9+ hs-source-dirs: test+ default-language: Haskell2010+ test-module: UnitTests+ ghc-options:+ -Wall -threaded+ if flag(Werror)+ ghc-options: -Werror+ -- TODO: Workaround the pesky bug in ghc 8.0+ -- https://stackoverflow.com/q/39310043/1344648+ if (impl(ghc >= 8.0.0)) && (impl(ghc < 8.1.0))+ buildable: False+ build-depends:+ base,+ text,+ Cabal >= 1.16.0,+ extra >= 1.4.4 && < 1.7,+ directory >= 1.2.5 && < 1.4,+ tptp++test-suite doctests+ type: exitcode-stdio-1.0+ hs-source-dirs: test/DocTests+ default-language: Haskell2010+ main-is: Main.hs+ ghc-options:+ -Wall -threaded+ if flag(Werror)+ ghc-options: -Werror+ -- TODO: Make it work for older GHCs+ if impl(ghc < 8.4)+ buildable: False+ build-depends:+ base,+ QuickCheck,+ doctest++executable parser+ hs-source-dirs: test/Parser+ default-language: Haskell2010+ main-is: Main.hs+ ghc-options:+ -Wall -threaded+ build-depends:+ base >= 4.5 && < 5.0,+ text >= 1.2.3 && < 1.3,+ tptp++executable parse-tptp-library+ hs-source-dirs: test/ParseTPTPLibrary+ default-language: Haskell2010+ main-is: Main.hs+ ghc-options:+ -Wall -threaded+ build-depends:+ base >= 4.5 && < 5.0,+ extra >= 1.4.4 && < 1.7,+ text >= 1.2.3 && < 1.3,+ directory >= 1.2.5 && < 1.4,+ tptp