diff --git a/CHANGELOG.md b/CHANGELOG.md new file mode 100644 --- /dev/null +++ b/CHANGELOG.md @@ -0,0 +1,3 @@ +## 0.1 + +- Initial release diff --git a/LICENSE b/LICENSE new file mode 100644 --- /dev/null +++ b/LICENSE @@ -0,0 +1,30 @@ +Copyright (c) 2024, Oleg Grenrus + +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + + * Redistributions in binary form must reproduce the above + copyright notice, this list of conditions and the following + disclaimer in the documentation and/or other materials provided + with the distribution. + + * Neither the name of Oleg Grenrus nor the names of other + contributors may be used to endorse or promote products derived + from this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/dimacs/QG/qg1-07.cnf b/dimacs/QG/qg1-07.cnf new file mode 100644 --- /dev/null +++ b/dimacs/QG/qg1-07.cnf @@ -0,0 +1,68084 @@ +p cnf 343 68083 +1 0 +2 0 +3 0 +4 0 +5 0 +6 0 +7 0 +1 23 24 25 26 27 28 0 +29 30 31 32 33 34 35 0 +36 37 38 39 40 41 42 0 +43 44 45 46 47 48 49 0 +50 51 52 53 54 55 56 0 +57 58 59 60 61 62 63 0 +64 65 66 67 68 69 70 0 +71 72 73 74 75 76 77 0 +78 2 79 80 81 82 83 0 +84 85 86 87 88 89 90 0 +91 92 93 94 95 96 97 0 +98 99 100 101 102 103 104 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a/dimacs/aim/aim-200-6_0-yes1-2.cnf b/dimacs/aim/aim-200-6_0-yes1-2.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-200-6_0-yes1-2.cnf @@ -0,0 +1,1211 @@ +c FILE: aim-200-6_0-yes1-2.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. 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b/dimacs/aim/aim-200-6_0-yes1-3.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-200-6_0-yes1-3.cnf @@ -0,0 +1,1211 @@ +c FILE: aim-200-6_0-yes1-3.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. 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b/dimacs/aim/aim-200-6_0-yes1-4.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-200-6_0-yes1-4.cnf @@ -0,0 +1,1211 @@ +c FILE: aim-200-6_0-yes1-4.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. 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b/dimacs/aim/aim-50-1_6-no-1.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-1_6-no-1.cnf @@ -0,0 +1,91 @@ +c FILE: aim-50-1_6-no-1.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. 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Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Not Satisfiable +c +p cnf 50 80 +1 32 34 0 +4 5 32 0 +-4 5 -34 0 +-5 32 -34 0 +29 -32 43 0 +29 36 -43 0 +29 -32 -36 0 +1 3 -29 0 +-3 -29 -32 0 +-1 24 39 0 +-1 24 -39 0 +7 18 -24 0 +-7 18 28 0 +-7 -21 28 0 +-7 17 -28 0 +18 -24 -28 0 +2 17 40 0 +-17 -18 40 0 +2 39 -40 0 +2 -39 -40 0 +-2 -18 35 0 +-2 -18 -35 0 +9 -32 41 0 +-9 41 45 0 +-1 -9 -45 0 +-5 27 43 0 +14 16 26 0 +14 -16 49 0 +12 -14 26 0 +-12 26 35 0 +26 30 -35 0 +-26 30 49 0 +9 13 25 0 +5 -17 25 0 +15 30 47 0 +-20 27 -49 0 +13 -20 -27 0 +-13 -30 -49 0 +3 8 37 0 +8 23 -43 0 +10 19 22 0 +10 -19 22 0 +-10 -19 36 0 +4 21 38 0 +-4 38 46 0 +21 -38 -47 0 +-21 45 46 0 +-14 -33 -38 0 +-10 11 -26 0 +-14 16 -50 0 +-14 -16 -23 0 +-2 -23 -50 0 +12 -47 50 0 +7 10 48 0 +-6 -13 -41 0 +11 -41 -48 0 +23 -41 -48 0 +-15 42 48 0 +-15 -21 -42 0 +11 34 44 0 +-27 -34 -46 0 +19 28 50 0 +-3 6 -35 0 +-22 -40 -44 0 +-25 -37 -42 0 +-26 -30 -37 0 +6 -31 42 0 +6 -31 -33 0 +-44 -45 47 0 +4 20 47 0 +-6 44 -46 0 +-11 12 20 0 +-8 10 28 0 +-22 31 -36 0 +7 -25 37 0 +-11 31 47 0 +-4 10 -12 0 +-30 -31 44 0 +7 15 33 0 +-8 -11 33 0 diff --git a/dimacs/aim/aim-50-1_6-yes1-1.cnf b/dimacs/aim/aim-50-1_6-yes1-1.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-1_6-yes1-1.cnf @@ -0,0 +1,91 @@ +c FILE: aim-50-1_6-yes1-1.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Satisfiable +c +p cnf 50 80 +5 28 41 0 +5 -28 41 0 +10 30 -41 0 +5 -10 -41 0 +-5 25 30 0 +-5 -25 30 0 +11 -30 -33 0 +-11 -30 -33 0 +7 -30 33 0 +-7 14 33 0 +-4 -7 -14 0 +4 -14 -29 0 +-1 -14 32 0 +-1 4 -32 0 +1 24 29 0 +1 -24 -34 0 +-6 -24 34 0 +6 -24 38 0 +6 -32 -38 0 +32 44 48 0 +-38 -44 48 0 +22 29 -48 0 +22 -29 32 0 +-22 -25 -48 0 +-22 25 40 0 +18 -22 -40 0 +-18 20 -40 0 +-18 28 -40 0 +-18 -28 39 0 +-28 35 -39 0 +-35 -39 43 0 +-35 -43 -50 0 +-43 -45 50 0 +31 45 50 0 +-31 -44 45 0 +-15 44 49 0 +-15 -31 -49 0 +15 -31 36 0 +15 23 -36 0 +-23 -36 46 0 +20 27 -46 0 +-20 -23 27 0 +-16 -27 -46 0 +16 26 -27 0 +16 17 -26 0 +2 13 -17 0 +2 -13 -26 0 +-5 -17 -26 0 +-2 -17 42 0 +-2 12 -13 0 +-2 -12 -42 0 +8 13 -42 0 +-8 -10 13 0 +3 -8 10 0 +-3 10 -37 0 +-3 10 -47 0 +10 19 47 0 +-12 -19 47 0 +12 -19 21 0 +9 -19 -21 0 +-9 -11 -21 0 +-9 11 -49 0 +11 41 49 0 +19 -32 37 0 +-1 39 -50 0 +8 17 40 0 +38 43 49 0 +23 42 -47 0 +-13 -29 37 0 +-34 37 -47 0 +-33 -37 50 0 +-6 14 34 0 +9 -20 -50 0 +35 36 38 0 +3 31 46 0 +7 -16 21 0 +-6 17 26 0 +23 24 46 0 +18 24 -45 0 +-4 -6 7 0 diff --git a/dimacs/aim/aim-50-1_6-yes1-2.cnf b/dimacs/aim/aim-50-1_6-yes1-2.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-1_6-yes1-2.cnf @@ -0,0 +1,91 @@ +c FILE: aim-50-1_6-yes1-2.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Satisfiable +c +p cnf 50 80 +1 7 28 0 +-1 7 28 0 +-7 13 35 0 +-7 -13 28 0 +-28 35 37 0 +-28 35 -37 0 +2 -35 43 0 +2 -35 -43 0 +-2 -35 38 0 +-2 9 -38 0 +-9 -24 -38 0 +-9 36 -38 0 +-21 -36 -38 0 +12 24 -36 0 +-12 21 31 0 +6 -12 -31 0 +-6 -31 42 0 +-6 33 -42 0 +-18 -33 -42 0 +4 18 -33 0 +-17 18 24 0 +-4 -17 -24 0 +-4 -16 17 0 +17 19 21 0 +-4 19 -21 0 +17 -19 -20 0 +-19 20 -49 0 +20 -47 49 0 +20 26 47 0 +20 25 -26 0 +14 -25 -26 0 +-14 16 44 0 +-16 -25 44 0 +-14 34 -44 0 +3 -34 -44 0 +-1 -3 -34 0 +-3 -34 41 0 +23 39 -41 0 +-3 23 -39 0 +-23 40 -41 0 +-15 -23 49 0 +-15 -40 -49 0 +15 -22 -40 0 +8 15 22 0 +-5 -8 22 0 +5 -8 30 0 +-8 29 -30 0 +-8 -13 -30 0 +5 -29 -37 0 +13 -32 37 0 +32 37 46 0 +32 39 -46 0 +10 -39 -46 0 +-10 27 -39 0 +-10 -27 48 0 +11 -27 -48 0 +-11 -48 50 0 +-11 -45 -50 0 +-28 45 -50 0 +-43 45 -50 0 +7 43 45 0 +10 11 26 0 +14 -47 48 0 +39 43 44 0 +8 27 42 0 +9 -20 38 0 +1 19 50 0 +6 31 36 0 +3 6 -45 0 +13 -22 31 0 +26 46 47 0 +5 12 40 0 +-18 25 33 0 +2 16 30 0 +4 -15 33 0 +25 29 40 0 +-18 36 43 0 +5 -5 -29 0 +-15 -32 41 0 +21 24 34 0 diff --git a/dimacs/aim/aim-50-1_6-yes1-3.cnf b/dimacs/aim/aim-50-1_6-yes1-3.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-1_6-yes1-3.cnf @@ -0,0 +1,91 @@ +c FILE: aim-50-1_6-yes1-3.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Satisfiable +c +p cnf 50 80 +7 19 24 0 +7 -19 26 0 +7 24 -26 0 +7 22 -24 0 +-7 22 46 0 +-7 22 -46 0 +8 -22 -27 0 +-8 -22 -27 0 +-22 27 43 0 +9 27 -50 0 +-9 -43 -50 0 +38 -43 50 0 +34 -38 50 0 +-34 -38 -41 0 +-34 41 -46 0 +-17 -34 41 0 +-6 17 -34 0 +-4 6 17 0 +4 6 16 0 +4 -16 40 0 +-16 19 -40 0 +-16 29 -40 0 +-19 -29 45 0 +24 -29 -36 0 +-24 -36 -45 0 +7 36 -45 0 +-15 36 -45 0 +-2 15 36 0 +2 15 30 0 +2 -30 35 0 +-8 -30 -35 0 +8 -35 -47 0 +8 -28 47 0 +28 33 47 0 +28 -33 37 0 +-21 -33 -37 0 +-14 21 -37 0 +14 21 44 0 +-9 14 -44 0 +9 -13 -44 0 +13 31 -44 0 +13 -31 42 0 +-18 -31 -42 0 +-12 18 -42 0 +12 18 -48 0 +-1 12 18 0 +1 48 -49 0 +1 -32 49 0 +1 -11 49 0 +1 3 49 0 +5 11 44 0 +-3 5 11 0 +-3 -5 -20 0 +-5 20 -25 0 +-5 23 25 0 +-23 25 -39 0 +10 -23 25 0 +-10 -26 39 0 +-10 24 26 0 +-18 38 48 0 +31 35 39 0 +-36 38 0 +-2 -6 37 0 +34 -39 -47 0 +-2 3 -28 0 +-19 -20 42 0 +16 32 -49 0 +-25 -27 46 0 +-12 16 31 0 +-2 -4 43 0 +-1 23 32 0 +10 -17 40 0 +-21 34 45 0 +20 -21 30 0 +5 -13 33 0 +-15 -48 0 +-14 29 37 0 +3 -14 -47 0 +-11 35 37 0 +10 -32 -41 0 diff --git a/dimacs/aim/aim-50-1_6-yes1-4.cnf b/dimacs/aim/aim-50-1_6-yes1-4.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-1_6-yes1-4.cnf @@ -0,0 +1,91 @@ +c FILE: aim-50-1_6-yes1-4.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Satisfiable +c +p cnf 50 80 +16 17 30 0 +-17 22 30 0 +-17 -22 30 0 +16 -30 47 0 +16 -30 -47 0 +-16 -21 31 0 +-16 -21 -31 0 +-16 21 -28 0 +-13 21 28 0 +13 -16 18 0 +13 -18 -38 0 +13 -18 -31 0 +31 38 44 0 +-8 31 -44 0 +8 -12 -44 0 +8 12 -27 0 +12 27 40 0 +-4 27 -40 0 +12 23 -40 0 +-3 4 -23 0 +3 -23 -49 0 +3 -13 -49 0 +-23 -26 49 0 +12 -34 49 0 +-12 26 -34 0 +19 34 36 0 +-19 26 36 0 +-30 34 -36 0 +24 34 -36 0 +-24 -36 43 0 +6 42 -43 0 +-24 42 -43 0 +-5 -24 -42 0 +5 20 -42 0 +5 -7 -20 0 +4 7 10 0 +-4 10 -20 0 +7 -10 -41 0 +-10 41 46 0 +-33 41 -46 0 +33 -37 -46 0 +32 33 37 0 +6 -32 37 0 +-6 25 -32 0 +-6 -25 -48 0 +-9 28 48 0 +-9 -25 -28 0 +19 -25 48 0 +2 9 -19 0 +-2 -19 35 0 +-2 22 -35 0 +-22 -35 50 0 +-17 -35 -50 0 +-29 -35 -50 0 +-1 29 -50 0 +1 11 29 0 +-11 17 -45 0 +-11 39 45 0 +-26 39 45 0 +-3 -26 45 0 +-11 15 -39 0 +14 -15 -39 0 +14 -15 -45 0 +14 -15 -27 0 +-14 -15 47 0 +17 40 0 +1 -29 -31 0 +-7 32 38 0 +-14 -33 -47 0 +-1 2 -8 0 +35 43 44 0 +21 24 0 +20 29 -48 0 +23 35 -37 0 +2 18 -33 0 +15 25 -45 0 +9 14 -38 0 +-5 11 50 0 +-3 -13 46 0 +-13 -41 43 0 diff --git a/dimacs/aim/aim-50-2_0-no-1.cnf b/dimacs/aim/aim-50-2_0-no-1.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-2_0-no-1.cnf @@ -0,0 +1,111 @@ +c FILE: aim-50-2_0-no-1.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Not Satisfiable +c +p cnf 50 100 +7 11 19 0 +7 -11 27 0 +7 16 -27 0 +-11 25 48 0 +-16 17 -48 0 +-17 25 -48 0 +-16 -25 -27 0 +19 36 49 0 +-7 -36 49 0 +-7 19 -49 0 +4 12 44 0 +4 -12 44 0 +1 -44 47 0 +-1 4 47 0 +20 34 48 0 +-19 20 34 0 +24 -34 -44 0 +-24 -34 -44 0 +-24 -32 41 0 +-34 -41 -47 0 +-4 -19 20 0 +30 39 41 0 +-30 39 50 0 +-20 -30 -50 0 +-20 -39 41 0 +-19 32 -41 0 +-20 -32 -41 0 +1 18 -35 0 +-14 18 -35 0 +-14 -18 27 0 +-1 25 -46 0 +-4 16 -47 0 +11 16 -25 0 +-4 11 -25 0 +-27 -35 -47 0 +15 31 40 0 +10 39 -49 0 +-8 -10 21 0 +-21 -26 30 0 +6 -11 29 0 +6 31 50 0 +45 49 -50 0 +31 -45 -50 0 +21 30 33 0 +2 37 -49 0 +-2 17 37 0 +-8 14 32 0 +-14 -15 32 0 +-1 37 47 0 +6 -38 45 0 +-21 -38 45 0 +-13 -18 -42 0 +2 -6 22 0 +-2 -6 22 0 +9 -28 -36 0 +8 29 -39 0 +-8 -38 -39 0 +-12 17 38 0 +1 -15 -26 0 +-7 -15 -26 0 +-9 36 42 0 +12 -16 21 0 +-10 -23 -46 0 +-9 -29 34 0 +-9 -21 42 0 +-12 -23 38 0 +-30 38 40 0 +18 23 33 0 +-6 15 33 0 +9 27 -43 0 +22 40 -48 0 +8 -22 26 0 +-5 -33 -36 0 +2 -33 46 0 +5 10 -42 0 +14 -29 -31 0 +12 -23 26 0 +8 35 36 0 +-10 -17 -18 0 +10 -22 -28 0 +15 -17 -43 0 +23 -29 -37 0 +13 -33 35 0 +-2 23 42 0 +9 43 46 0 +5 -24 -45 0 +-5 43 46 0 +-3 -13 -40 0 +3 -28 -42 0 +24 -31 43 0 +14 -22 -32 0 +3 24 26 0 +-13 -43 44 0 +-3 -31 -40 0 +-5 -40 50 0 +35 -37 -45 0 +-3 5 28 0 +13 28 -46 0 +3 28 -37 0 +13 29 48 0 diff --git a/dimacs/aim/aim-50-2_0-no-2.cnf b/dimacs/aim/aim-50-2_0-no-2.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-2_0-no-2.cnf @@ -0,0 +1,111 @@ +c FILE: aim-50-2_0-no-2.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Not Satisfiable +c +p cnf 50 100 +4 21 34 0 +21 -34 40 0 +1 -21 40 0 +-21 39 40 0 +20 29 41 0 +-20 39 41 0 +39 -40 41 0 +-40 -41 42 0 +-40 -41 -42 0 +1 25 -39 0 +2 -25 -39 0 +-2 5 -39 0 +-1 4 5 0 +15 26 33 0 +15 26 -33 0 +-5 -15 26 0 +-5 -26 31 0 +-5 -26 -31 0 +6 9 47 0 +9 37 38 0 +9 14 -38 0 +-14 -38 -47 0 +-9 11 37 0 +-9 -11 37 0 +24 -37 48 0 +24 46 -48 0 +-24 -37 46 0 +16 18 -46 0 +-16 18 -46 0 +-18 -37 -46 0 +-4 -6 15 0 +-4 13 -15 0 +-4 -13 -15 0 +-1 -6 38 0 +3 -9 35 0 +7 43 44 0 +7 29 43 0 +-8 -29 44 0 +-29 -32 48 0 +-14 30 46 0 +-1 -14 -30 0 +-11 20 49 0 +20 -44 -49 0 +16 22 -27 0 +13 -19 -35 0 +2 19 -33 0 +2 19 -28 0 +33 -34 -44 0 +-33 -44 50 0 +5 30 -48 0 +10 22 -50 0 +-10 22 -34 0 +1 10 -47 0 +-10 -25 -47 0 +-25 -27 50 0 +11 21 23 0 +-3 11 23 0 +-3 6 -50 0 +-6 23 -50 0 +-31 -43 44 0 +-7 16 -26 0 +-23 28 -38 0 +19 28 50 0 +-18 45 49 0 +-2 -16 -48 0 +7 14 -42 0 +12 25 -36 0 +10 -24 -45 0 +-21 32 -42 0 +12 -18 -27 0 +-13 -23 -24 0 +25 29 38 0 +-8 43 -45 0 +-2 -12 13 0 +-7 14 30 0 +-8 -17 -19 0 +8 -22 49 0 +-12 -17 33 0 +27 -29 32 0 +8 -12 -13 0 +24 -31 47 0 +-3 36 47 0 +3 12 34 0 +-7 -16 36 0 +-22 31 48 0 +17 -22 -49 0 +-17 -19 32 0 +-20 27 36 0 +18 -32 -35 0 +3 -28 -30 0 +17 34 42 0 +-32 -43 -49 0 +17 -28 -43 0 +-23 35 -45 0 +-10 31 -36 0 +27 -41 42 0 +35 -36 45 0 +8 -30 45 0 +4 28 -35 0 +6 -11 -20 0 diff --git a/dimacs/aim/aim-50-2_0-no-3.cnf b/dimacs/aim/aim-50-2_0-no-3.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-2_0-no-3.cnf @@ -0,0 +1,111 @@ +c FILE: aim-50-2_0-no-3.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Not Satisfiable +c +p cnf 50 100 +33 37 43 0 +21 -37 43 0 +-21 -37 39 0 +23 39 -43 0 +13 -23 31 0 +-13 -23 31 0 +-23 -31 -43 0 +6 9 25 0 +-6 9 25 0 +9 33 -38 0 +-9 25 -39 0 +24 -25 -39 0 +-24 -25 33 0 +6 27 41 0 +-6 14 41 0 +14 -41 43 0 +14 -41 -43 0 +1 20 27 0 +1 12 -20 0 +1 -12 -14 0 +-1 27 28 0 +-1 -14 -28 0 +-1 -11 -14 0 +-27 -33 39 0 +5 20 28 0 +19 29 -33 0 +-19 -20 29 0 +-20 28 -29 0 +5 -28 37 0 +5 -28 -37 0 +-5 -33 -39 0 +7 17 22 0 +-5 7 17 0 +-7 18 22 0 +22 -24 41 0 +-7 12 18 0 +-12 18 34 0 +-12 34 -42 0 +-7 -34 -41 0 +-16 -29 35 0 +-3 13 -29 0 +-21 -30 37 0 +-15 -21 47 0 +-8 24 40 0 +-3 -8 42 0 +-3 -8 -42 0 +-2 30 36 0 +-2 -30 36 0 +-4 -35 44 0 +42 -45 -50 0 +-42 -45 -50 0 +-11 15 -40 0 +3 46 48 0 +3 -46 48 0 +-11 30 50 0 +-16 30 50 0 +4 -36 -40 0 +8 46 47 0 +24 -40 44 0 +12 16 -46 0 +2 6 -36 0 +-6 -44 46 0 +-22 32 -36 0 +3 32 38 0 +-27 -35 38 0 +11 16 -47 0 +31 -45 -46 0 +19 -24 32 0 +-15 23 -31 0 +4 -34 -49 0 +11 -22 -49 0 +23 -26 50 0 +-9 -31 -32 0 +-2 -27 35 0 +26 34 45 0 +7 36 47 0 +-4 -30 49 0 +-26 -44 -50 0 +2 40 48 0 +26 -44 -47 0 +-18 19 -25 0 +-38 42 49 0 +13 -22 49 0 +-10 -32 -48 0 +2 -19 29 0 +-13 -15 26 0 +-10 -17 20 0 +-17 21 45 0 +-4 -13 -26 0 +-9 21 -48 0 +-10 35 44 0 +-32 -48 -49 0 +4 -16 -19 0 +-5 8 40 0 +15 -18 -35 0 +8 10 -47 0 +10 15 45 0 +10 -18 -34 0 +16 17 38 0 +11 -17 -38 0 diff --git a/dimacs/aim/aim-50-2_0-no-4.cnf b/dimacs/aim/aim-50-2_0-no-4.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-2_0-no-4.cnf @@ -0,0 +1,111 @@ +c FILE: aim-50-2_0-no-4.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Not Satisfiable +c +p cnf 50 100 +2 26 32 0 +2 -21 32 0 +2 3 -26 0 +-2 22 44 0 +-2 -22 44 0 +-2 23 -44 0 +3 -23 41 0 +3 -41 -44 0 +-3 9 20 0 +-3 -20 32 0 +7 9 -32 0 +-7 16 -32 0 +9 -16 -32 0 +1 16 37 0 +-1 16 26 0 +-16 26 37 0 +-9 -26 37 0 +5 -9 46 0 +11 21 -46 0 +5 21 -46 0 +-5 21 39 0 +-5 -37 -39 0 +-9 -21 -37 0 +10 -19 -48 0 +10 -13 -19 0 +5 -36 47 0 +-5 -36 47 0 +-16 42 -43 0 +-1 13 -39 0 +8 -27 30 0 +13 18 -30 0 +8 13 -18 0 +-13 15 -17 0 +-13 -15 -30 0 +-17 -27 -45 0 +-12 -27 -45 0 +-18 25 40 0 +-18 34 -40 0 +25 -34 48 0 +-19 -25 48 0 +-1 -12 -34 0 +20 -25 -43 0 +8 19 -45 0 +17 29 34 0 +-17 29 41 0 +15 -31 -35 0 +-15 -31 -35 0 +34 39 -43 0 +-11 -14 45 0 +-11 -12 -14 0 +-24 28 -39 0 +-8 -24 -30 0 +7 -25 45 0 +-7 -44 45 0 +-20 36 50 0 +-8 36 50 0 +-8 -20 -50 0 +20 -41 44 0 +28 -33 39 0 +28 -33 47 0 +10 27 38 0 +-10 27 30 0 +4 -10 38 0 +-6 -35 41 0 +12 18 22 0 +17 22 30 0 +12 29 42 0 +-4 23 31 0 +1 -4 -31 0 +-4 -6 -22 0 +-22 40 50 0 +4 -33 43 0 +-6 -21 42 0 +7 -24 -47 0 +-3 31 -46 0 +4 12 -36 0 +-11 -29 36 0 +-14 -23 -48 0 +-23 -37 -48 0 +15 -42 43 0 +-7 24 -50 0 +-10 33 46 0 +40 -42 46 0 +14 24 -49 0 +11 17 -38 0 +19 -28 -47 0 +14 24 27 0 +6 -15 43 0 +11 18 -41 0 +1 6 49 0 +-29 -47 -50 0 +25 -34 -38 0 +6 31 -49 0 +33 35 0 +33 35 48 0 +49 -49 0 +23 -29 -40 0 +19 -26 -42 0 +14 38 -38 0 +-28 -40 0 diff --git a/dimacs/aim/aim-50-2_0-yes1-1.cnf b/dimacs/aim/aim-50-2_0-yes1-1.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-2_0-yes1-1.cnf @@ -0,0 +1,111 @@ +c FILE: aim-50-2_0-yes1-1.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Satisfiable +c +p cnf 50 100 +-9 17 50 0 +17 20 -50 0 +17 -20 -50 0 +-9 -17 39 0 +-9 -17 -39 0 +9 29 43 0 +9 -29 43 0 +9 10 -43 0 +-10 -27 -43 0 +4 -10 -43 0 +-4 -6 -10 0 +-4 11 -16 0 +6 -11 -16 0 +-4 6 26 0 +11 -26 39 0 +6 -11 39 0 +-26 32 38 0 +32 -38 -39 0 +12 -26 -32 0 +-12 25 -39 0 +-13 -25 -32 0 +7 -12 -25 0 +-7 28 49 0 +-7 -25 49 0 +-7 33 -49 0 +8 -33 -49 0 +1 -8 -49 0 +-1 -8 21 0 +-1 5 36 0 +-5 -8 36 0 +-1 -14 -36 0 +-21 -36 -50 0 +14 24 -36 0 +14 -24 -38 0 +-23 34 50 0 +-23 -24 -34 0 +23 -24 -34 0 +23 34 -42 0 +28 34 42 0 +-11 -28 42 0 +15 -28 42 0 +23 35 45 0 +-23 -28 45 0 +-15 -35 45 0 +-15 -17 -45 0 +12 -15 30 0 +-12 30 -45 0 +22 -30 -45 0 +-22 -30 -37 0 +-3 -22 -30 0 +3 -22 -47 0 +37 40 44 0 +-31 40 44 0 +4 13 37 0 +13 37 -40 0 +-13 33 -40 0 +-13 -33 44 0 +2 3 -44 0 +-2 -40 -44 0 +27 43 47 0 +-2 16 41 0 +-16 27 47 0 +-27 41 47 0 +41 -44 -47 0 +-18 38 -41 0 +-2 -18 -38 0 +40 -41 46 0 +-20 33 -46 0 +-20 -33 -41 0 +18 19 28 0 +14 18 19 0 +-14 18 19 0 +-5 -19 -46 0 +-5 -18 -46 0 +20 21 -35 0 +-19 20 -35 0 +3 35 -48 0 +-3 -19 -48 0 +29 35 48 0 +-29 31 38 0 +27 31 48 0 +-29 31 48 0 +4 12 16 0 +25 26 -42 0 +-6 13 -37 0 +11 25 -37 0 +8 16 -47 0 +1 15 -31 0 +1 10 -21 0 +-14 22 -42 0 +32 -32 36 0 +2 10 -21 0 +-3 5 8 0 +15 21 22 0 +5 7 29 0 +26 -27 50 0 +30 -31 -48 0 +7 -34 46 0 +-6 24 49 0 +2 24 46 0 diff --git a/dimacs/aim/aim-50-2_0-yes1-2.cnf b/dimacs/aim/aim-50-2_0-yes1-2.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-2_0-yes1-2.cnf @@ -0,0 +1,111 @@ +c FILE: aim-50-2_0-yes1-2.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Satisfiable +c +p cnf 50 100 +-7 17 29 0 +17 -29 43 0 +17 -29 -43 0 +4 15 -17 0 +-7 8 -15 0 +4 -8 -15 0 +-4 -7 -17 0 +3 7 41 0 +3 15 -41 0 +3 7 -41 0 +-3 7 -31 0 +-1 31 41 0 +-1 -3 31 0 +1 -3 28 0 +1 -8 -28 0 +1 25 -28 0 +14 -25 -28 0 +-14 30 43 0 +-25 -30 43 0 +14 -39 46 0 +-14 -39 46 0 +-25 -39 -46 0 +-5 -14 -43 0 +5 9 -43 0 +-4 5 -9 0 +-9 45 46 0 +5 45 -46 0 +-9 -20 -45 0 +2 31 -45 0 +2 20 -31 0 +-2 -17 -45 0 +-2 20 -24 0 +-2 -18 24 0 +18 24 -42 0 +24 42 -47 0 +13 18 -48 0 +-13 42 -48 0 +18 -44 -48 0 +-10 23 48 0 +-10 22 42 0 +-10 -22 -23 0 +10 -30 48 0 +2 21 22 0 +21 22 48 0 +10 21 -22 0 +-21 47 49 0 +34 38 49 0 +34 -38 -47 0 +10 -34 49 0 +-21 -41 -49 0 +-21 36 -49 0 +-33 -36 -49 0 +-19 33 -36 0 +13 25 37 0 +13 -36 37 0 +-13 33 37 0 +-15 33 -37 0 +15 32 -37 0 +11 -32 -37 0 +-11 -12 -32 0 +20 27 -32 0 +-20 25 27 0 +-11 -20 27 0 +-11 -22 -27 0 +6 30 47 0 +6 30 -47 0 +12 23 -30 0 +6 12 -23 0 +-27 -38 39 0 +-6 -27 -38 0 +-6 38 -44 0 +-5 38 -44 0 +-6 26 44 0 +-23 -26 44 0 +8 16 50 0 +8 -26 50 0 +-8 44 50 0 +-13 -26 -50 0 +19 23 -40 0 +-19 -40 41 0 +-19 -40 -50 0 +16 40 47 0 +16 40 -50 0 +-16 35 40 0 +-16 -35 -46 0 +4 -16 -34 0 +-4 -34 -35 0 +-29 34 -35 0 +-31 32 39 0 +11 -24 29 0 +-5 35 45 0 +-12 26 0 +-12 14 -18 0 +11 -18 28 0 +19 -33 39 0 +-1 -33 -42 0 +28 29 35 0 +19 32 36 0 +9 12 -24 0 +9 36 -42 0 diff --git a/dimacs/aim/aim-50-2_0-yes1-3.cnf b/dimacs/aim/aim-50-2_0-yes1-3.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-2_0-yes1-3.cnf @@ -0,0 +1,111 @@ +c FILE: aim-50-2_0-yes1-3.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Satisfiable +c +p cnf 50 100 +-6 17 25 0 +-17 25 41 0 +-17 25 -41 0 +-6 29 40 0 +-25 29 -40 0 +-25 -29 37 0 +-6 -29 -37 0 +6 12 39 0 +10 -39 47 0 +-10 12 47 0 +6 12 -39 0 +6 -12 24 0 +-12 -24 -39 0 +-12 -24 38 0 +-22 -24 -38 0 +16 -38 39 0 +-11 -16 -38 0 +11 -16 42 0 +5 -16 -42 0 +-5 -42 -45 0 +-5 -10 -42 0 +4 42 45 0 +4 -5 45 0 +3 -4 45 0 +-3 -30 33 0 +-4 -30 -33 0 +-3 -4 23 0 +-3 -23 -31 0 +11 -14 30 0 +-11 -14 30 0 +14 -19 -23 0 +14 19 -25 0 +14 19 21 0 +13 -20 -21 0 +-13 19 -20 0 +15 20 44 0 +15 20 48 0 +20 -21 -48 0 +15 -27 -48 0 +-15 -21 34 0 +-8 -15 -34 0 +11 -13 -15 0 +-11 -13 -34 0 +8 30 -37 0 +8 -30 -34 0 +8 13 35 0 +1 13 23 0 +1 -23 -35 0 +-1 10 40 0 +-1 -10 -35 0 +-1 -35 47 0 +-40 43 -47 0 +-43 -47 -48 0 +27 -33 -47 0 +-27 -33 -43 0 +-43 44 48 0 +-17 -44 48 0 +-2 17 28 0 +-2 17 -28 0 +22 -28 -44 0 +2 -22 -28 0 +26 31 46 0 +2 26 -31 0 +2 26 -46 0 +-7 -26 28 0 +-26 28 -41 0 +-26 41 49 0 +36 41 -49 0 +-29 -36 -49 0 +18 -36 -49 0 +-18 37 46 0 +-36 -37 46 0 +9 -18 -46 0 +-9 -18 32 0 +31 -46 -50 0 +-32 44 -50 0 +-31 -44 -50 0 +-32 36 40 0 +-9 27 -32 0 +-9 27 -40 0 +16 43 50 0 +3 18 -19 0 +-20 33 37 0 +9 34 42 0 +-7 -22 -41 0 +-7 31 33 0 +21 34 43 0 +7 49 50 0 +-8 35 36 0 +-8 22 38 0 +9 39 -45 0 +21 24 -45 0 +1 3 10 0 +-14 29 35 0 +23 32 50 0 +4 5 18 0 +-2 -27 32 0 +7 24 49 0 +5 7 38 0 +16 -19 22 0 diff --git a/dimacs/aim/aim-50-2_0-yes1-4.cnf b/dimacs/aim/aim-50-2_0-yes1-4.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-2_0-yes1-4.cnf @@ -0,0 +1,111 @@ +c FILE: aim-50-2_0-yes1-4.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Satisfiable +c +p cnf 50 100 +4 37 -44 0 +-4 37 39 0 +-4 37 -39 0 +-37 40 -44 0 +-37 -40 -44 0 +13 31 44 0 +-13 31 44 0 +26 -31 44 0 +-2 -26 -31 0 +-26 -31 49 0 +5 -26 -49 0 +-5 -27 -49 0 +-5 -39 -49 0 +2 -5 43 0 +-2 39 43 0 +39 -43 48 0 +-15 -43 -48 0 +-34 -43 -48 0 +28 34 -48 0 +18 -28 34 0 +-18 -28 -36 0 +-18 24 -28 0 +-3 -18 -24 0 +3 -12 -24 0 +5 10 12 0 +10 12 -24 0 +-10 12 -20 0 +-10 20 25 0 +-10 -25 -35 0 +20 23 -25 0 +2 20 23 0 +-2 23 -39 0 +-19 -23 -25 0 +19 -23 47 0 +19 -20 47 0 +13 43 -47 0 +13 -23 -47 0 +-13 14 34 0 +14 17 -34 0 +14 -17 -34 0 +-13 22 -47 0 +-14 -22 29 0 +-21 -22 35 0 +-22 -29 -35 0 +-29 33 41 0 +1 33 -41 0 +-1 33 -41 0 +16 -29 -33 0 +-16 21 50 0 +27 -33 42 0 +27 -42 50 0 +-21 -27 50 0 +-11 -16 -33 0 +8 22 -50 0 +8 -16 -50 0 +-8 46 -50 0 +-6 -8 -46 0 +1 -8 -17 0 +-1 -17 -46 0 +6 42 45 0 +6 42 -46 0 +6 -37 -42 0 +15 17 45 0 +-15 17 45 0 +9 -42 -45 0 +-9 38 -45 0 +-7 -38 -45 0 +-1 -9 -38 0 +7 15 -30 0 +7 -30 -38 0 +7 30 -41 0 +10 30 -40 0 +30 -40 41 0 +-4 15 40 0 +-15 40 41 0 +4 -32 35 0 +4 21 -32 0 +-21 -32 -35 0 +-30 35 46 0 +21 22 46 0 +-11 26 28 0 +29 -36 49 0 +5 18 36 0 +-7 9 49 0 +19 36 48 0 +-3 -14 16 0 +24 31 32 0 +2 24 32 0 +3 38 48 0 +-7 8 16 0 +1 -11 -19 0 +11 29 36 0 +3 -14 25 0 +-3 38 47 0 +-6 9 -12 0 +11 26 0 +-12 25 28 0 +18 -19 -36 0 +-6 -9 27 0 +-20 -27 32 0 diff --git a/dimacs/aim/aim-50-3_4-yes1-1.cnf b/dimacs/aim/aim-50-3_4-yes1-1.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-3_4-yes1-1.cnf @@ -0,0 +1,181 @@ +c FILE: aim-50-3_4-yes1-1.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. Generators +c and more information in sat/contributed/iwama. +c +c NOTE: Satisfiable +c +p cnf 50 170 +43 46 49 0 +29 -43 46 0 +16 -29 -43 0 +16 46 -49 0 +24 36 -46 0 +-28 36 -46 0 +24 -36 -46 0 +-24 25 34 0 +6 -25 34 0 +16 -24 -34 0 +-6 16 -24 0 +5 9 32 0 +5 -16 -32 0 +-5 9 25 0 +-5 9 -25 0 +-9 -16 17 0 +14 24 35 0 +-5 -17 35 0 +-9 -17 35 0 +11 -35 -49 0 +-11 -35 -49 0 +-26 -35 -49 0 +-9 24 49 0 +-6 -35 49 0 +2 -24 -28 0 +-2 27 -28 0 +-24 -27 -28 0 +26 40 42 0 +28 40 42 0 +28 40 -42 0 +26 28 -40 0 +-14 35 -40 0 +-14 -28 -35 0 +3 27 49 0 +-3 -14 -26 0 +-14 -27 37 0 +9 -27 -37 0 +-9 -14 -40 0 +6 28 42 0 +28 42 -44 0 +6 -19 42 0 +6 -42 45 0 +2 14 33 0 +-2 11 13 0 +11 -13 -45 0 +8 -33 -45 0 +-8 10 23 0 +9 -10 23 0 +-9 -10 23 0 +-8 11 14 0 +11 -13 14 0 +17 29 -42 0 +9 29 -42 0 +29 -38 -42 0 +-5 -29 -40 0 +-5 -17 -40 0 +26 -40 -45 0 +5 10 -38 0 +-10 -38 -42 0 +7 38 48 0 +-7 44 48 0 +-4 38 48 0 +-26 38 48 0 +-11 23 31 0 +-11 23 -31 0 +5 -26 44 0 +-23 -32 39 0 +-23 -32 -39 0 +34 -41 -48 0 +19 -34 -41 0 +32 -41 -48 0 +20 -23 -48 0 +31 34 -44 0 +31 -34 -44 0 +31 -32 -34 0 +-20 31 -47 0 +4 -29 41 0 +4 -29 -33 0 +-4 35 -44 0 +-4 -29 -44 0 +22 32 33 0 +22 32 43 0 +21 41 48 0 +-19 21 -48 0 +21 -32 -48 0 +-19 -21 43 0 +-17 22 25 0 +22 -25 43 0 +41 -43 50 0 +41 -43 -50 0 +-10 -20 39 0 +-20 26 -39 0 +-10 -20 41 0 +-22 -31 39 0 +-20 -39 -50 0 +10 -19 -22 0 +10 15 50 0 +25 -30 -41 0 +10 15 -25 0 +-15 -30 41 0 +1 -15 -41 0 +-15 -30 50 0 +8 30 50 0 +22 -39 46 0 +19 -22 47 0 +-22 46 -47 0 +-1 19 38 0 +-1 19 -46 0 +-1 30 -38 0 +8 -13 30 0 +-8 -13 30 0 +-8 -12 30 0 +1 -4 -46 0 +-4 -6 -46 0 +4 13 -37 0 +-3 12 45 0 +-3 38 -45 0 +-3 12 -38 0 +-3 12 -25 0 +13 17 33 0 +2 -33 37 0 +13 -33 37 0 +1 17 -37 0 +6 -7 13 0 +-7 13 -30 0 +-6 -7 26 0 +1 -6 -26 0 +3 16 17 0 +-1 3 -17 0 +1 -16 44 0 +-1 3 44 0 +-16 44 -49 0 +3 -7 -16 0 +7 12 -43 0 +2 4 18 0 +2 4 -18 0 +4 36 37 0 +8 27 -36 0 +27 -36 43 0 +7 37 47 0 +7 -37 47 0 +7 45 47 0 +-30 -45 47 0 +18 29 36 0 +19 27 -47 0 +-2 -19 -47 0 +18 -27 36 0 +-2 12 18 0 +-2 -12 50 0 +18 -36 -50 0 +-27 34 -36 0 +8 15 -18 0 +-8 15 -18 0 +-15 -33 -47 0 +-15 25 33 0 +21 33 -34 0 +-13 20 -21 0 +-11 -12 -20 0 +5 -21 39 0 +-12 15 -21 0 +-31 32 -50 0 +-12 -23 40 0 +-11 21 45 0 +-18 24 -31 0 +20 -31 -37 0 +-23 40 45 0 +-22 39 49 0 +-18 -39 -50 0 +14 20 23 0 +20 21 -21 0 diff --git a/dimacs/aim/aim-50-3_4-yes1-2.cnf b/dimacs/aim/aim-50-3_4-yes1-2.cnf new file mode 100644 --- /dev/null +++ b/dimacs/aim/aim-50-3_4-yes1-2.cnf @@ -0,0 +1,181 @@ +c FILE: aim-50-3_4-yes1-2.cnf +c +c SOURCE: Kazuo Iwama, Eiji Miyano (miyano@cscu.kyushu-u.ac.jp), +c and Yuichi Asahiro +c +c DESCRIPTION: Artifical instances from generator by source. 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0 diff --git a/dimacs/dubois/dubois21.cnf b/dimacs/dubois/dubois21.cnf new file mode 100644 --- /dev/null +++ b/dimacs/dubois/dubois21.cnf @@ -0,0 +1,181 @@ +c FILE: dubois21.cnf +c +c SOURCE: Olivier Dubois (dubois@laforia.ibp.fr) +c +c DESCRIPTION: Instance from generator gensathard.c +c +c NOTE: Not satisfiable +c +c d = 21 +c n = 63 +c p = 168 +c r = 3 +p cnf 63 168 + 41 42 1 0 +-41 -42 1 0 + 41 -42 -1 0 +-41 42 -1 0 + 1 43 2 0 + -1 -43 2 0 + 1 -43 -2 0 + -1 43 -2 0 + 2 44 3 0 + -2 -44 3 0 + 2 -44 -3 0 + -2 44 -3 0 + 3 45 4 0 + -3 -45 4 0 + 3 -45 -4 0 + -3 45 -4 0 + 4 46 5 0 + -4 -46 5 0 + 4 -46 -5 0 + -4 46 -5 0 + 5 47 6 0 + -5 -47 6 0 + 5 -47 -6 0 + -5 47 -6 0 + 6 48 7 0 + -6 -48 7 0 + 6 -48 -7 0 + -6 48 -7 0 + 7 49 8 0 + -7 -49 8 0 + 7 -49 -8 0 + -7 49 -8 0 + 8 50 9 0 + -8 -50 9 0 + 8 -50 -9 0 + -8 50 -9 0 + 9 51 10 0 + -9 -51 10 0 + 9 -51 -10 0 + -9 51 -10 0 + 10 52 11 0 +-10 -52 11 0 + 10 -52 -11 0 +-10 52 -11 0 + 11 53 12 0 +-11 -53 12 0 + 11 -53 -12 0 +-11 53 -12 0 + 12 54 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52 -38 0 + 40 51 39 0 +-40 -51 39 0 + 40 -51 -39 0 +-40 51 -39 0 + 41 50 40 0 +-41 -50 40 0 + 41 -50 -40 0 +-41 50 -40 0 + 42 49 41 0 +-42 -49 41 0 + 42 -49 -41 0 +-42 49 -41 0 + 43 48 42 0 +-43 -48 42 0 + 43 -48 -42 0 +-43 48 -42 0 + 44 47 43 0 +-44 -47 43 0 + 44 -47 -43 0 +-44 47 -43 0 + 45 46 -44 0 +-45 -46 -44 0 + 45 -46 44 0 +-45 46 44 0 diff --git a/dimacs/dubois/dubois24.cnf b/dimacs/dubois/dubois24.cnf new file mode 100644 --- /dev/null +++ b/dimacs/dubois/dubois24.cnf @@ -0,0 +1,205 @@ +c FILE: dubois24.cnf +c +c SOURCE: Olivier Dubois (dubois@laforia.ibp.fr) +c +c DESCRIPTION: Instance from generator gensathard.c +c +c NOTE: Not satisfiable +c +c d = 24 +c n = 72 +c p = 192 +c r = 3 +p cnf 72 192 + 47 48 1 0 +-47 -48 1 0 + 47 -48 -1 0 +-47 48 -1 0 + 1 49 2 0 + -1 -49 2 0 + 1 -49 -2 0 + -1 49 -2 0 + 2 50 3 0 + -2 -50 3 0 + 2 -50 -3 0 + -2 50 -3 0 + 3 51 4 0 + -3 -51 4 0 + 3 -51 -4 0 + -3 51 -4 0 + 4 52 5 0 + -4 -52 5 0 + 4 -52 -5 0 + -4 52 -5 0 + 5 53 6 0 + -5 -53 6 0 + 5 -53 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0 +-41 58 -40 0 + 42 57 41 0 +-42 -57 41 0 + 42 -57 -41 0 +-42 57 -41 0 + 43 56 42 0 +-43 -56 42 0 + 43 -56 -42 0 +-43 56 -42 0 + 44 55 43 0 +-44 -55 43 0 + 44 -55 -43 0 +-44 55 -43 0 + 45 54 44 0 +-45 -54 44 0 + 45 -54 -44 0 +-45 54 -44 0 + 46 53 45 0 +-46 -53 45 0 + 46 -53 -45 0 +-46 53 -45 0 + 47 52 46 0 +-47 -52 46 0 + 47 -52 -46 0 +-47 52 -46 0 + 48 51 47 0 +-48 -51 47 0 + 48 -51 -47 0 +-48 51 -47 0 + 49 50 -48 0 +-49 -50 -48 0 + 49 -50 48 0 +-49 50 48 0 diff --git a/dimacs/dubois/dubois26.cnf b/dimacs/dubois/dubois26.cnf new file mode 100644 --- /dev/null +++ b/dimacs/dubois/dubois26.cnf @@ -0,0 +1,221 @@ +c FILE: dubois26.cnf +c +c SOURCE: Olivier Dubois (dubois@laforia.ibp.fr) +c +c DESCRIPTION: Instance from generator gensathard.c +c +c NOTE: Not satisfiable +c +c d = 26 +c n = 78 +c p = 208 +c r = 3 +p cnf 78 208 + 51 52 1 0 +-51 -52 1 0 + 51 -52 -1 0 +-51 52 -1 0 + 1 53 2 0 + -1 -53 2 0 + 1 -53 -2 0 + -1 53 -2 0 + 2 54 3 0 + -2 -54 3 0 + 2 -54 -3 0 + -2 54 -3 0 + 3 55 4 0 + 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satisfiable +c +c d = 27 +c n = 81 +c p = 216 +c r = 3 +p cnf 81 216 + 53 54 1 0 +-53 -54 1 0 + 53 -54 -1 0 +-53 54 -1 0 + 1 55 2 0 + -1 -55 2 0 + 1 -55 -2 0 + -1 55 -2 0 + 2 56 3 0 + -2 -56 3 0 + 2 -56 -3 0 + -2 56 -3 0 + 3 57 4 0 + -3 -57 4 0 + 3 -57 -4 0 + -3 57 -4 0 + 4 58 5 0 + -4 -58 5 0 + 4 -58 -5 0 + -4 58 -5 0 + 5 59 6 0 + -5 -59 6 0 + 5 -59 -6 0 + -5 59 -6 0 + 6 60 7 0 + -6 -60 7 0 + 6 -60 -7 0 + -6 60 -7 0 + 7 61 8 0 + -7 -61 8 0 + 7 -61 -8 0 + -7 61 -8 0 + 8 62 9 0 + -8 -62 9 0 + 8 -62 -9 0 + -8 62 -9 0 + 9 63 10 0 + -9 -63 10 0 + 9 -63 -10 0 + -9 63 -10 0 + 10 64 11 0 +-10 -64 11 0 + 10 -64 -11 0 +-10 64 -11 0 + 11 65 12 0 +-11 -65 12 0 + 11 -65 -12 0 +-11 65 -12 0 + 12 66 13 0 +-12 -66 13 0 + 12 -66 -13 0 +-12 66 -13 0 + 13 67 14 0 +-13 -67 14 0 + 13 -67 -14 0 +-13 67 -14 0 + 14 68 15 0 +-14 -68 15 0 + 14 -68 -15 0 +-14 68 -15 0 + 15 69 16 0 +-15 -69 16 0 + 15 -69 -16 0 +-15 69 -16 0 + 16 70 17 0 +-16 -70 17 0 + 16 -70 -17 0 +-16 70 -17 0 + 17 71 18 0 +-17 -71 18 0 + 17 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+-53 -54 -52 0 + 53 -54 52 0 +-53 54 52 0 diff --git a/dimacs/dubois/dubois28.cnf b/dimacs/dubois/dubois28.cnf new file mode 100644 --- /dev/null +++ b/dimacs/dubois/dubois28.cnf @@ -0,0 +1,237 @@ +c FILE: dubois28.cnf +c +c SOURCE: Olivier Dubois (dubois@laforia.ibp.fr) +c +c DESCRIPTION: Instance from generator gensathard.c +c +c NOTE: Not satisfiable +c +c d = 28 +c n = 84 +c p = 224 +c r = 3 +p cnf 84 224 + 55 56 1 0 +-55 -56 1 0 + 55 -56 -1 0 +-55 56 -1 0 + 1 57 2 0 + -1 -57 2 0 + 1 -57 -2 0 + -1 57 -2 0 + 2 58 3 0 + -2 -58 3 0 + 2 -58 -3 0 + -2 58 -3 0 + 3 59 4 0 + -3 -59 4 0 + 3 -59 -4 0 + -3 59 -4 0 + 4 60 5 0 + -4 -60 5 0 + 4 -60 -5 0 + -4 60 -5 0 + 5 61 6 0 + -5 -61 6 0 + 5 -61 -6 0 + -5 61 -6 0 + 6 62 7 0 + -6 -62 7 0 + 6 -62 -7 0 + -6 62 -7 0 + 7 63 8 0 + -7 -63 8 0 + 7 -63 -8 0 + -7 63 -8 0 + 8 64 9 0 + -8 -64 9 0 + 8 -64 -9 0 + -8 64 -9 0 + 9 65 10 0 + -9 -65 10 0 + 9 -65 -10 0 + -9 65 -10 0 + 10 66 11 0 +-10 -66 11 0 + 10 -66 -11 0 +-10 66 -11 0 + 11 67 12 0 +-11 -67 12 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0 +-47 -64 46 0 + 47 -64 -46 0 +-47 64 -46 0 + 48 63 47 0 +-48 -63 47 0 + 48 -63 -47 0 +-48 63 -47 0 + 49 62 48 0 +-49 -62 48 0 + 49 -62 -48 0 +-49 62 -48 0 + 50 61 49 0 +-50 -61 49 0 + 50 -61 -49 0 +-50 61 -49 0 + 51 60 50 0 +-51 -60 50 0 + 51 -60 -50 0 +-51 60 -50 0 + 52 59 51 0 +-52 -59 51 0 + 52 -59 -51 0 +-52 59 -51 0 + 53 58 52 0 +-53 -58 52 0 + 53 -58 -52 0 +-53 58 -52 0 + 54 57 53 0 +-54 -57 53 0 + 54 -57 -53 0 +-54 57 -53 0 + 55 56 -54 0 +-55 -56 -54 0 + 55 -56 54 0 +-55 56 54 0 diff --git a/dimacs/dubois/dubois29.cnf b/dimacs/dubois/dubois29.cnf new file mode 100644 --- /dev/null +++ b/dimacs/dubois/dubois29.cnf @@ -0,0 +1,245 @@ +c FILE: dubois29.cnf +c +c SOURCE: Olivier Dubois (dubois@laforia.ibp.fr) +c +c DESCRIPTION: Instance from generator gensathard.c +c +c NOTE: Not satisfiable +c +c d = 29 +c n = 87 +c p = 232 +c r = 3 +p cnf 87 232 + 57 58 1 0 +-57 -58 1 0 + 57 -58 -1 0 +-57 58 -1 0 + 1 59 2 0 + -1 -59 2 0 + 1 -59 -2 0 + -1 59 -2 0 + 2 60 3 0 + -2 -60 3 0 + 2 -60 -3 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0 + 57 58 -56 0 +-57 -58 -56 0 + 57 -58 56 0 +-57 58 56 0 diff --git a/dimacs/dubois/dubois30.cnf b/dimacs/dubois/dubois30.cnf new file mode 100644 --- /dev/null +++ b/dimacs/dubois/dubois30.cnf @@ -0,0 +1,253 @@ +c FILE: dubois30.cnf +c +c SOURCE: Olivier Dubois (dubois@laforia.ibp.fr) +c +c DESCRIPTION: Instance from generator gensathard.c +c +c NOTE: Not satisfiable +c +c d = 30 +c n = 90 +c p = 240 +c r = 3 +p cnf 90 240 + 59 60 1 0 +-59 -60 1 0 + 59 -60 -1 0 +-59 60 -1 0 + 1 61 2 0 + -1 -61 2 0 + 1 -61 -2 0 + -1 61 -2 0 + 2 62 3 0 + -2 -62 3 0 + 2 -62 -3 0 + -2 62 -3 0 + 3 63 4 0 + -3 -63 4 0 + 3 -63 -4 0 + -3 63 -4 0 + 4 64 5 0 + -4 -64 5 0 + 4 -64 -5 0 + -4 64 -5 0 + 5 65 6 0 + -5 -65 6 0 + 5 -65 -6 0 + -5 65 -6 0 + 6 66 7 0 + -6 -66 7 0 + 6 -66 -7 0 + -6 66 -7 0 + 7 67 8 0 + -7 -67 8 0 + 7 -67 -8 0 + -7 67 -8 0 + 8 68 9 0 + -8 -68 9 0 + 8 -68 -9 0 + -8 68 -9 0 + 9 69 10 0 + -9 -69 10 0 + 9 -69 -10 0 + -9 69 -10 0 + 10 70 11 0 +-10 -70 11 0 + 10 -70 -11 0 +-10 70 -11 0 + 11 71 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generator gensathard.c +c +c NOTE: Not satisfiable +c +c d = 50 +c n = 150 +c p = 400 +c r = 3 +p cnf 150 400 + 99 100 1 0 +-99 -100 1 0 + 99 -100 -1 0 +-99 100 -1 0 + 1 101 2 0 + -1 -101 2 0 + 1 -101 -2 0 + -1 101 -2 0 + 2 102 3 0 + -2 -102 3 0 + 2 -102 -3 0 + -2 102 -3 0 + 3 103 4 0 + -3 -103 4 0 + 3 -103 -4 0 + -3 103 -4 0 + 4 104 5 0 + -4 -104 5 0 + 4 -104 -5 0 + -4 104 -5 0 + 5 105 6 0 + -5 -105 6 0 + 5 -105 -6 0 + -5 105 -6 0 + 6 106 7 0 + -6 -106 7 0 + 6 -106 -7 0 + -6 106 -7 0 + 7 107 8 0 + -7 -107 8 0 + 7 -107 -8 0 + -7 107 -8 0 + 8 108 9 0 + -8 -108 9 0 + 8 -108 -9 0 + -8 108 -9 0 + 9 109 10 0 + -9 -109 10 0 + 9 -109 -10 0 + -9 109 -10 0 + 10 110 11 0 +-10 -110 11 0 + 10 -110 -11 0 +-10 110 -11 0 + 11 111 12 0 +-11 -111 12 0 + 11 -111 -12 0 +-11 111 -12 0 + 12 112 13 0 +-12 -112 13 0 + 12 -112 -13 0 +-12 112 -13 0 + 13 113 14 0 +-13 -113 14 0 + 13 -113 -14 0 +-13 113 -14 0 + 14 114 15 0 +-14 -114 15 0 + 14 -114 -15 0 +-14 114 -15 0 + 15 115 16 0 +-15 -115 16 0 + 15 -115 -16 0 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-97 0 + 99 100 -98 0 +-99 -100 -98 0 + 99 -100 98 0 +-99 100 98 0 diff --git a/dimacs/hanoi/hanoi4.cnf b/dimacs/hanoi/hanoi4.cnf new file mode 100644 --- /dev/null +++ b/dimacs/hanoi/hanoi4.cnf @@ -0,0 +1,4957 @@ +c FILE: hanoi4.cnf +c +c SOURCE: Bart Selman (selman@research.att.com) +c +c hanoi4, a 4 block towers of Hanoi problem +c encoded as propositional satisfiablity. +c +c Files: +c hanoi4.cnf - problem in cnf format +c hanoi4.map - interpretation of the variables; line N in this +c file is the name of a first-order ground atom +c that is associated with variable number N. +c hanoi4.solution - solution to the problem. +c +c hanoi4.cnf can be solved by tableau (a backtracking-type algorithm +c written by James Crawford and Larry Auton) in 3.2 hours on +c an SGI Challenge workstation. +c +c For information about the program used to generate this problem +c (and other blocks-world type problems) contact +c kautz@research.att.com. +c +p cnf 718 4934 +-1 -2 3 0 +-1 -4 5 0 +-1 -6 7 0 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+c file is the name of a first-order ground atom +c that is associated with variable number N. +c hanoi5.solution - solution to the problem. +c +c As of 7/6/93, we have not found an sat algorithm that can solve +c this problem. 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1650 + 0 diff --git a/dimacs/inductive-inference/ii16a2.cnf b/dimacs/inductive-inference/ii16a2.cnf new file mode 100644 --- /dev/null +++ b/dimacs/inductive-inference/ii16a2.cnf @@ -0,0 +1,47353 @@ +c Filename: ii16a2.sat +c +c Source: Mauricio Resende (AT&T Bell Labs) (mgcr@gauss.att.com) +c +c Reference: "A continuous approach to inductive inference" by +c Kamath, Karmarkar, Ramakrishnan, and Resende (Math Prog 57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 1602 23281 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + 49 50 + 0 + 51 52 + 0 + 53 54 + 0 + 55 56 + 0 + 57 58 + 0 + 59 60 + 0 + 61 62 + 0 + 63 64 + 0 + 65 66 + 0 + 67 68 + 0 + 69 70 + 0 + 71 72 + 0 + 73 74 + 0 + 75 76 + 0 + 77 78 + 0 + 79 80 + 0 + 81 82 + 0 + 83 84 + 0 + 85 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1076 + 0 diff --git a/dimacs/inductive-inference/ii16c1.cnf b/dimacs/inductive-inference/ii16c1.cnf new file mode 100644 --- /dev/null +++ b/dimacs/inductive-inference/ii16c1.cnf @@ -0,0 +1,35206 @@ +c Filename: ii16c1.sat +c +c Source: Mauricio Resende (AT&T Bell Labs) (mgcr@gauss.att.com) +c +c Reference: "A continuous approach to inductive inference" by +c Kamath, Karmarkar, Ramakrishnan, and Resende (Math Prog 57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 1580 16467 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + 49 50 + 0 + 51 52 + 0 + 53 54 + 0 + 55 56 + 0 + 57 58 + 0 + 59 60 + 0 + 61 62 + 0 + 63 64 + 0 + 65 66 + 0 + 67 68 + 0 + 69 70 + 0 + 71 72 + 0 + 73 74 + 0 + 75 76 + 0 + 77 78 + 0 + 79 80 + 0 + 81 82 + 0 + 83 84 + 0 + 85 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+1,29225 @@ +c Filename: ii16c2.sat +c +c Source: Mauricio Resende (AT&T Bell Labs) (mgcr@gauss.att.com) +c +c Reference: "A continuous approach to inductive inference" by +c Kamath, Karmarkar, Ramakrishnan, and Resende (Math Prog 57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 924 13803 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + 49 50 + 0 + 51 52 + 0 + 53 54 + 0 + 55 56 + 0 + 57 58 + 0 + 59 60 + 0 + 61 62 + 0 + 63 64 + 0 + 65 66 + 0 + 67 68 + 0 + 69 70 + 0 + 71 72 + 0 + 73 74 + 0 + 75 76 + 0 + 77 78 + 0 + 79 80 + 0 + 81 82 + 0 + 83 84 + 0 + 85 86 + 0 + 87 88 + 0 + 89 90 + 0 + 91 92 + 0 + 93 94 + 0 + 95 96 + 0 + 97 98 + 0 + 99 100 + 0 + 101 102 + 0 + 103 104 + 0 + 105 106 + 0 + 107 108 + 0 + 109 110 + 0 + 111 112 + 0 + 113 114 + 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1227 1228 1229 1230 + 0 diff --git a/dimacs/inductive-inference/ii16d2.cnf b/dimacs/inductive-inference/ii16d2.cnf new file mode 100644 --- /dev/null +++ b/dimacs/inductive-inference/ii16d2.cnf @@ -0,0 +1,26717 @@ +c Filename: ii16d2.sat +c +c Source: Mauricio Resende (AT&T Bell Labs) (mgcr@gauss.att.com) +c +c Reference: "A continuous approach to inductive inference" by +c Kamath, Karmarkar, Ramakrishnan, and Resende (Math Prog 57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 836 12461 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + 49 50 + 0 + 51 52 + 0 + 53 54 + 0 + 55 56 + 0 + 57 58 + 0 + 59 60 + 0 + 61 62 + 0 + 63 64 + 0 + 65 66 + 0 + 67 68 + 0 + 69 70 + 0 + 71 72 + 0 + 73 74 + 0 + 75 76 + 0 + 77 78 + 0 + 79 80 + 0 + 81 82 + 0 + 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b/dimacs/inductive-inference/ii16e1.cnf @@ -0,0 +1,34115 @@ +c Filename: ii16e1.sat +c +c Source: Mauricio Resende (AT&T Bell Labs) (mgcr@gauss.att.com) +c +c Reference: "A continuous approach to inductive inference" by +c Kamath, Karmarkar, Ramakrishnan, and Resende (Math Prog 57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 1245 14766 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + 49 50 + 0 + 51 52 + 0 + 53 54 + 0 + 55 56 + 0 + 57 58 + 0 + 59 60 + 0 + 61 62 + 0 + 63 64 + 0 + 65 66 + 0 + 67 68 + 0 + 69 70 + 0 + 71 72 + 0 + 73 74 + 0 + 75 76 + 0 + 77 78 + 0 + 79 80 + 0 + 81 82 + 0 + 83 84 + 0 + 85 86 + 0 + 87 88 + 0 + 89 90 + 0 + 91 92 + 0 + 93 94 + 0 + 95 96 + 0 + 97 98 + 0 + 99 100 + 0 + 101 102 + 0 + 103 104 + 0 + 105 106 + 0 + 107 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0 diff --git a/dimacs/inductive-inference/ii8a1.cnf b/dimacs/inductive-inference/ii8a1.cnf new file mode 100644 --- /dev/null +++ b/dimacs/inductive-inference/ii8a1.cnf @@ -0,0 +1,395 @@ +c Filename: ii8a1.sat +c +c Source: Mauricio Resende (AT&T Bell Labs) (mgcr@gauss.att.com) +c +c Reference: "A continuous approach to inductive inference" by +c Kamath, Karmarkar, Ramakrishnan, and Resende (Math Prog 57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 66 186 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + -2 -3 -6 -8 -9 -12 + -14 -16 + 0 + -18 -19 -22 -24 -25 -28 + -30 -32 + 0 + -34 -35 -38 -40 -41 -44 + -46 -48 + 0 + -1 -4 -6 -7 -10 -11 + -13 -16 + 0 + -17 -20 -22 -23 -26 -27 + -29 -32 + 0 + -33 -36 -38 -39 -42 -43 + -45 -48 + 0 + -2 -3 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b/dimacs/inductive-inference/ii8b1.cnf new file mode 100644 --- /dev/null +++ b/dimacs/inductive-inference/ii8b1.cnf @@ -0,0 +1,4207 @@ +c Filename: ii8b1.sat +c +c Source: Mauricio Resende (AT&T Bell Labs) (mgcr@gauss.att.com) +c +c Reference: "A continuous approach to inductive inference" by +c Kamath, Karmarkar, Ramakrishnan, and Resende (Math Prog 57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 336 2068 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + 49 50 + 0 + 51 52 + 0 + 53 54 + 0 + 55 56 + 0 + 57 58 + 0 + 59 60 + 0 + 61 62 + 0 + 63 64 + 0 + 65 66 + 0 + 67 68 + 0 + 69 70 + 0 + 71 72 + 0 + 73 74 + 0 + 75 76 + 0 + 77 78 + 0 + 79 80 + 0 + 81 82 + 0 + 83 84 + 0 + 85 86 + 0 + 87 88 + 0 + 89 90 + 0 + 91 92 + 0 + 93 94 + 0 + 95 96 + 0 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Resende (AT&T Bell Labs) (mgcr@gauss.att.com) +c +c Reference: "A continuous approach to inductive inference" by +c Kamath, Karmarkar, Ramakrishnan, and Resende (Math Prog 57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 816 6108 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + 49 50 + 0 + 51 52 + 0 + 53 54 + 0 + 55 56 + 0 + 57 58 + 0 + 59 60 + 0 + 61 62 + 0 + 63 64 + 0 + 65 66 + 0 + 67 68 + 0 + 69 70 + 0 + 71 72 + 0 + 73 74 + 0 + 75 76 + 0 + 77 78 + 0 + 79 80 + 0 + 81 82 + 0 + 83 84 + 0 + 85 86 + 0 + 87 88 + 0 + 89 90 + 0 + 91 92 + 0 + 93 94 + 0 + 95 96 + 0 + -2 -3 -6 -7 -10 -12 + -13 -15 + 0 + -18 -19 -22 -23 -26 -28 + -29 -31 + 0 + -34 -35 -38 -39 -42 -44 + -45 -47 + 0 + -50 -51 -54 -55 -58 -60 + -61 -63 + 0 + -66 -67 -70 -71 -74 -76 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+1,13678 @@ +c Filename: ii8c2.sat +c +c Source: Mauricio Resende (AT&T Bell Labs) (mgcr@gauss.att.com) +c +c Reference: "A continuous approach to inductive inference" by +c Kamath, Karmarkar, Ramakrishnan, and Resende (Math Prog 57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 950 6689 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + 49 50 + 0 + 51 52 + 0 + 53 54 + 0 + 55 56 + 0 + 57 58 + 0 + 59 60 + 0 + 61 62 + 0 + 63 64 + 0 + 65 66 + 0 + 67 68 + 0 + 69 70 + 0 + 71 72 + 0 + 73 74 + 0 + 75 76 + 0 + 77 78 + 0 + 79 80 + 0 + 81 82 + 0 + 83 84 + 0 + 85 86 + 0 + 87 88 + 0 + 89 90 + 0 + 91 92 + 0 + 93 94 + 0 + 95 96 + 0 + 97 98 + 0 + 99 100 + 0 + 101 102 + 0 + 103 104 + 0 + 105 106 + 0 + 107 108 + 0 + 109 110 + 0 + 111 112 + 0 + 113 114 + 0 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Ramakrishnan, and Resende (Math Prog 57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 530 3207 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + 49 50 + 0 + 51 52 + 0 + 53 54 + 0 + 55 56 + 0 + 57 58 + 0 + 59 60 + 0 + 61 62 + 0 + 63 64 + 0 + 65 66 + 0 + 67 68 + 0 + 69 70 + 0 + 71 72 + 0 + 73 74 + 0 + 75 76 + 0 + 77 78 + 0 + 79 80 + 0 + 81 82 + 0 + 83 84 + 0 + 85 86 + 0 + 87 88 + 0 + 89 90 + 0 + 91 92 + 0 + 93 94 + 0 + 95 96 + 0 + 97 98 + 0 + 99 100 + 0 + 101 102 + 0 + 103 104 + 0 + 105 106 + 0 + 107 108 + 0 + 109 110 + 0 + 111 112 + 0 + 113 114 + 0 + 115 116 + 0 + 117 118 + 0 + 119 120 + 0 + 121 122 + 0 + 123 124 + 0 + 125 126 + 0 + 127 128 + 0 + 129 130 + 0 + 131 132 + 0 + 133 134 + 0 + 135 136 + 0 + 137 138 + 0 + 139 140 + 0 + 141 142 + 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b/dimacs/inductive-inference/ii8d2.cnf @@ -0,0 +1,13412 @@ +c Filename: ii8d2.sat +c +c Source: Mauricio Resende (AT&T Bell Labs) (mgcr@gauss.att.com) +c +c Reference: "A continuous approach to inductive inference" by +c Kamath, Karmarkar, Ramakrishnan, and Resende (Math Prog 57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 930 6547 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + 49 50 + 0 + 51 52 + 0 + 53 54 + 0 + 55 56 + 0 + 57 58 + 0 + 59 60 + 0 + 61 62 + 0 + 63 64 + 0 + 65 66 + 0 + 67 68 + 0 + 69 70 + 0 + 71 72 + 0 + 73 74 + 0 + 75 76 + 0 + 77 78 + 0 + 79 80 + 0 + 81 82 + 0 + 83 84 + 0 + 85 86 + 0 + 87 88 + 0 + 89 90 + 0 + 91 92 + 0 + 93 94 + 0 + 95 96 + 0 + 97 98 + 0 + 99 100 + 0 + 101 102 + 0 + 103 104 + 0 + 105 106 + 0 + 107 108 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57, +c 215--238) (1992). +c +c Note: Instance is satisfiable +c +p cnf 870 6121 + 1 2 + 0 + 3 4 + 0 + 5 6 + 0 + 7 8 + 0 + 9 10 + 0 + 11 12 + 0 + 13 14 + 0 + 15 16 + 0 + 17 18 + 0 + 19 20 + 0 + 21 22 + 0 + 23 24 + 0 + 25 26 + 0 + 27 28 + 0 + 29 30 + 0 + 31 32 + 0 + 33 34 + 0 + 35 36 + 0 + 37 38 + 0 + 39 40 + 0 + 41 42 + 0 + 43 44 + 0 + 45 46 + 0 + 47 48 + 0 + 49 50 + 0 + 51 52 + 0 + 53 54 + 0 + 55 56 + 0 + 57 58 + 0 + 59 60 + 0 + 61 62 + 0 + 63 64 + 0 + 65 66 + 0 + 67 68 + 0 + 69 70 + 0 + 71 72 + 0 + 73 74 + 0 + 75 76 + 0 + 77 78 + 0 + 79 80 + 0 + 81 82 + 0 + 83 84 + 0 + 85 86 + 0 + 87 88 + 0 + 89 90 + 0 + 91 92 + 0 + 93 94 + 0 + 95 96 + 0 + 97 98 + 0 + 99 100 + 0 + 101 102 + 0 + 103 104 + 0 + 105 106 + 0 + 107 108 + 0 + 109 110 + 0 + 111 112 + 0 + 113 114 + 0 + 115 116 + 0 + 117 118 + 0 + 119 120 + 0 + 121 122 + 0 + 123 124 + 0 + 125 126 + 0 + 127 128 + 0 + 129 130 + 0 + 131 132 + 0 + 133 134 + 0 + 135 136 + 0 + 137 138 + 0 + 139 140 + 0 + 141 142 + 0 + 143 144 + 0 + 145 146 + 0 + 147 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collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Satisfiable +c +p cnf 100 850 + -2 26 -33 0 + -14 -33 50 -75 97 0 + 43 53 -62 0 + 39 43 -46 -94 0 + -10 78 0 + 43 -58 69 75 78 80 -94 0 + -17 -22 -29 -48 -72 -77 -90 0 + 54 59 -62 -75 0 + 43 -45 -48 -69 -92 0 + 24 -34 81 0 + 28 36 100 0 + 74 75 -90 0 + 42 -51 72 88 0 + 33 -45 49 51 -54 62 0 + -8 43 49 -86 0 + 10 -34 0 + -12 -22 33 34 -75 -79 -83 0 + -3 13 -34 47 0 + 30 64 -69 -86 93 98 0 + 3 50 -52 -57 61 67 78 87 0 + 4 21 -39 -52 56 68 -71 77 -83 0 + -9 -12 -28 0 + -6 -15 -35 -89 0 + 5 -6 -16 -19 22 -30 -32 -76 0 + 4 26 -49 -53 94 0 + -5 -10 -42 55 -89 0 + -33 -35 59 87 -97 0 + -44 -47 -72 85 0 + 48 -88 92 0 + -36 61 84 89 0 + 42 -96 0 + 8 42 -56 -71 76 0 + -1 -31 -43 60 0 + 22 60 -66 88 89 0 + -30 32 -52 56 -71 85 88 90 0 + -54 74 94 97 98 0 + -28 48 -62 84 0 + -39 71 82 0 + 3 -55 -87 90 0 + 18 -27 30 50 51 0 + 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collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Not satisfiable +c +p cnf 100 850 + 1 13 -30 -69 74 78 -90 92 96 0 + -18 27 -30 -54 -58 86 87 -94 -99 0 + -1 -14 41 43 60 -73 80 -81 0 + 26 -36 52 -63 -95 0 + -5 -35 80 87 -88 0 + -12 -16 -20 30 -49 -69 74 -81 -96 -100 0 + -1 -30 32 72 -98 0 + -3 16 83 90 0 + 12 -17 24 25 60 -73 -100 0 + 1 14 15 31 35 -41 -65 0 + 7 10 12 -26 -43 69 -79 99 0 + -6 -12 94 0 + -2 23 -42 -83 0 + 18 -31 -41 -52 95 96 0 + 5 11 54 92 0 + -20 -27 54 -75 83 0 + 11 -24 -47 -66 79 0 + 9 10 -21 0 + 22 -23 -34 -49 -52 -73 -85 0 + -11 -16 22 23 51 83 -88 95 0 + 31 -60 63 -72 -75 0 + -20 25 54 -69 73 0 + 7 -29 38 -39 -42 0 + -44 54 0 + 7 15 -23 -30 -69 0 + -3 6 -7 41 53 77 -78 95 96 0 + -7 23 41 -47 -91 95 0 + 26 -48 -52 -64 0 + -1 18 42 0 + 25 88 0 + 5 53 -84 -93 0 + 35 -97 -99 0 + 11 -22 61 62 -71 -94 -100 0 + 31 55 72 82 83 -86 -96 0 + 25 -64 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+c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c Updated September 20, 1993 to correct number of clauses +c +c NOTE: Not satisfiable +c +p cnf 100 850 + -22 53 57 92 0 + 45 63 -68 0 + 4 16 -33 -72 77 81 -93 95 99 0 + -17 -36 53 -78 100 0 + 46 56 -65 0 + 42 46 -49 -97 0 + -13 81 0 + 46 -61 72 78 81 83 -97 0 + -20 -25 -32 -51 -75 -80 -93 0 + 57 62 -65 -78 0 + 46 -48 -51 -72 -95 0 + 3 27 -37 84 0 + 31 39 0 + 77 78 -93 0 + 45 -54 75 91 0 + 36 -48 52 54 -57 65 0 + -11 46 52 -89 0 + 13 -37 0 + -15 -25 36 37 -78 -82 -86 0 + 1 -6 16 -37 50 0 + 33 67 -72 -89 96 0 + 6 53 -55 -60 64 70 81 90 0 + 7 24 -42 -55 59 71 -74 80 -86 0 + -12 -15 -31 0 + -9 -18 -38 -92 0 + 8 -9 -19 -22 25 -33 -35 -79 0 + 7 29 -52 -56 97 0 + 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5 -20 32 -40 46 0 + 11 -34 39 -61 -73 0 + -3 -7 -14 -35 -75 -92 0 + 8 12 -22 -92 94 -95 0 + 3 -67 -79 0 + -5 38 44 -53 83 84 -91 0 diff --git a/dimacs/jnh/jnh20.cnf b/dimacs/jnh/jnh20.cnf new file mode 100644 --- /dev/null +++ b/dimacs/jnh/jnh20.cnf @@ -0,0 +1,867 @@ +c File: jnh20.cnf +c +c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c NOTE: Updated September 20, 1993 to correct number of clauses +c +c +c NOTE: Not satisfiable +c +p cnf 100 850 + -5 52 -64 68 70 -73 81 0 + -2 -25 -31 0 + 14 15 -21 42 -61 0 + 11 37 -50 -60 -71 0 + 2 24 30 73 0 + -39 -46 73 -94 0 + 30 -43 -66 -85 98 0 + -4 28 29 -40 0 + 2 -7 14 41 -42 -53 -68 -71 -92 0 + -30 -35 41 42 70 0 + 50 -79 82 -91 -94 0 + -39 44 73 -88 92 0 + 26 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anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Satisfiable +c +p cnf 100 800 + -17 24 29 -34 44 -65 78 0 + -10 -21 -38 41 -56 0 + -31 -81 0 + -32 52 -57 60 -99 0 + 14 -24 28 31 -33 -42 -68 -79 90 0 + 17 22 29 -78 83 -96 0 + 23 61 0 + -26 36 54 61 62 0 + 5 13 16 23 -56 59 -72 -89 0 + -10 -12 -51 0 + -13 -18 21 35 -46 68 87 -93 0 + 4 7 13 -29 -88 0 + -20 -46 61 -86 0 + 11 -13 46 57 -91 0 + 20 21 62 -76 0 + 1 16 28 50 59 99 0 + 15 -18 60 0 + -44 -48 0 + 52 83 -100 0 + -34 56 -79 -83 -95 0 + 21 24 27 -30 -74 76 -77 87 -91 -94 98 0 + 36 -47 -58 97 0 + 37 55 -60 0 + 8 -25 -64 69 73 -85 87 91 0 + -9 -28 45 -70 92 96 0 + 38 48 -57 0 + 34 38 -41 -89 0 + -5 73 0 + 38 -53 64 70 73 75 -89 0 + -12 -17 -24 -43 -67 -72 -85 0 + 49 54 -57 -70 0 + 38 -40 -43 -64 -87 0 + 19 -29 76 0 + 23 31 95 0 + 69 70 -85 0 + 37 -46 67 83 0 + 28 -40 44 46 -49 57 0 + -3 38 44 -81 0 + 5 -29 0 + -7 -17 28 29 -70 -74 -78 0 + 8 -29 42 0 + 25 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on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Not satisfiable +c +p cnf 100 800 + 6 19 -39 -48 -55 59 -72 96 98 0 + -2 18 36 -42 -86 90 -98 0 + 21 -43 -47 -59 0 + 13 37 0 + 20 83 -96 0 + 48 -79 -88 0 + 30 -92 -94 100 0 + 6 -17 56 57 -66 -89 -95 0 + 26 50 67 77 78 -81 -91 0 + 20 -59 62 -68 71 0 + 17 26 -64 80 0 + 70 -77 86 -93 0 + 12 -20 -37 55 0 + -9 46 -50 -72 75 81 -88 -91 0 + -24 27 -39 52 -57 -73 76 -79 0 + 11 23 -45 -54 65 -66 -84 0 + 3 -31 33 72 0 + 21 76 0 + -11 -40 -66 0 + -59 74 0 + -4 33 -39 -81 0 + 26 -30 -49 -58 78 -92 0 + -26 34 -72 -86 92 99 0 + -20 33 58 0 + 2 -8 -18 25 0 + 33 43 -71 87 0 + 50 -51 -73 97 0 + -12 -63 -74 -79 0 + 1 53 -66 -81 0 + 6 11 27 29 -37 -55 58 -68 83 0 + 8 13 28 -65 -77 -83 0 + 26 -46 60 -62 -82 0 + 68 -69 81 0 + 1 -3 -7 34 50 52 -74 77 79 -100 0 + 8 57 -62 90 0 + -35 -74 78 -95 0 + -20 -32 52 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single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Satisfiable +c +p cnf 100 800 + 1 -2 36 48 72 -73 90 91 0 + 4 -11 -79 0 + 22 -32 -43 -80 0 + 21 23 41 77 -80 87 0 + 7 -38 0 + 46 49 -76 82 0 + -32 35 -45 96 0 + 19 20 51 0 + 18 24 39 54 61 -66 0 + -1 -18 -78 0 + 10 15 24 -36 -77 80 0 + -21 -23 32 -38 -42 -91 0 + 41 46 -61 -87 98 100 0 + 26 -61 -90 0 + 15 71 99 0 + -38 -48 -71 78 -84 0 + 4 7 -14 20 72 -76 0 + 23 37 38 -73 0 + -13 -17 45 46 -53 -58 -64 0 + 2 19 -32 39 -40 -77 86 -89 0 + 11 -22 -54 -60 -73 100 0 + 39 46 -47 85 -95 0 + -8 -28 33 -40 -55 -59 -64 -94 0 + 31 -57 -71 -75 -79 89 0 + 42 49 -60 -89 91 0 + 19 -32 -59 -62 75 0 + -24 71 -76 83 84 0 + -2 28 -38 58 60 73 74 90 94 -100 0 + 53 66 69 71 -85 0 + -1 -42 -65 -71 0 + -11 54 55 -61 82 0 + 13 51 77 -90 -100 0 + 13 -34 42 64 70 0 + -6 -25 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b/dimacs/jnh/jnh209.cnf @@ -0,0 +1,816 @@ +c File: jnh209.cnf +c +c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Satisfiable +c +p cnf 100 800 + 34 36 -51 53 89 0 + 42 66 -76 0 + 16 17 -32 70 78 0 + 14 30 0 + 4 84 -93 0 + -28 75 -87 91 93 -96 0 + -50 85 91 0 + -17 -21 -25 52 -76 0 + -54 -64 75 76 0 + 6 -11 -28 35 40 -45 55 -76 89 0 + 3 9 20 29 72 0 + 10 -13 19 -25 45 92 -94 -99 0 + 46 63 -81 -94 98 0 + -31 -51 -54 -70 0 + -18 -48 -57 -77 0 + 36 47 -48 -58 -61 64 -72 -74 0 + -31 46 68 -91 -95 0 + 1 29 -39 -47 -52 -84 97 0 + -22 -75 -77 0 + -14 27 0 + -30 34 -86 -89 0 + 3 26 31 90 0 + -38 -78 0 + -13 18 84 0 + 8 50 84 -98 0 + 2 -8 30 31 -43 -73 -85 0 + -13 27 30 32 64 0 + 16 36 39 40 -72 74 -94 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/dev/null +++ b/dimacs/jnh/jnh210.cnf @@ -0,0 +1,816 @@ +c File: jnh210.cnf +c +c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Satisfiable +c +p cnf 100 800 + 23 85 -87 -90 0 + 15 -16 28 73 -93 0 + -21 24 26 -47 0 + 4 -9 37 48 -50 -54 81 97 99 0 + -21 25 -42 55 0 + -9 -47 -82 0 + -7 13 -67 -79 99 0 + 7 9 62 -98 0 + 17 30 -50 -59 -66 70 -83 0 + -21 -32 -49 52 -67 0 + -10 -42 -92 0 + 1 -43 63 -68 71 0 + -7 25 -35 39 42 -44 -53 -79 -90 0 + 28 33 40 -89 94 0 + 34 72 0 + -37 47 65 72 73 0 + 16 24 27 34 -67 70 -83 -100 0 + -4 -21 -23 -62 0 + 7 -24 -29 32 46 -57 79 98 0 + 15 18 24 -40 -99 0 + -2 -31 -57 72 -97 0 + 22 -24 57 68 0 + 10 31 32 73 -87 0 + 12 27 39 61 70 0 + 26 -29 71 0 + -11 -55 -59 0 + 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a/dimacs/jnh/jnh211.cnf b/dimacs/jnh/jnh211.cnf new file mode 100644 --- /dev/null +++ b/dimacs/jnh/jnh211.cnf @@ -0,0 +1,816 @@ +c File: jnh211.cnf +c +c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Not satisfiable +c +p cnf 100 800 + 7 -9 -29 0 + 13 -35 44 -45 -48 0 + -50 60 0 + 1 2 13 21 -29 -36 -75 0 + 1 -9 12 -13 47 59 83 -84 0 + -13 29 47 -53 -97 0 + 32 -54 -58 -70 0 + -7 24 48 0 + 31 94 0 + -3 -5 11 59 -90 -99 0 + -6 41 0 + -2 17 -28 67 68 -77 -100 0 + 37 61 78 88 89 -92 0 + 31 -70 73 -79 82 0 + -4 28 37 -75 91 0 + 81 -88 97 0 + -2 23 -31 -48 66 0 + -20 57 -61 -83 86 92 -99 0 + -35 38 -50 63 -68 -84 87 -90 0 + 22 34 -56 -65 76 -77 -95 0 + 14 -42 44 83 0 + 32 87 0 + -22 -51 -77 0 + -70 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a/dimacs/jnh/jnh212.cnf b/dimacs/jnh/jnh212.cnf new file mode 100644 --- /dev/null +++ b/dimacs/jnh/jnh212.cnf @@ -0,0 +1,817 @@ +c File: jnh212.cnf +c +c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c NOTE: Updated September 20, 1993 to correct satisfiability note. +c +c +c NOTE: Satisfiable +c +p cnf 100 800 + -26 31 60 -75 79 0 + 48 90 0 + -30 41 0 + 13 -28 -33 -37 50 55 -68 72 -94 98 0 + 15 -22 -90 0 + 33 -43 -54 -91 0 + 32 34 52 88 -91 98 0 + 18 -49 0 + 7 57 60 -87 93 0 + -43 46 -56 0 + 30 31 62 0 + 29 35 50 65 72 -77 0 + -12 -29 -89 0 + -2 21 26 35 -47 -88 91 0 + 9 11 -32 -34 43 -49 -53 0 + -1 52 57 -72 -98 0 + 10 37 -72 0 + 26 82 0 + -49 -59 -82 89 -95 0 + 15 18 -25 31 83 -87 0 + 34 48 49 -84 0 + 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Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c NOTE: Updated December 5, 1993 to correct number of clauses +c +c +c NOTE: Not satisfiable +c +p cnf 100 850 + 44 -55 -66 0 + 16 -20 -82 -92 0 + -17 48 51 -58 64 0 + -2 -8 67 81 82 0 + -21 30 -33 -57 -61 89 90 -97 0 + -4 -17 44 46 63 -76 83 -84 0 + 29 -39 55 -66 -98 0 + -3 -8 -38 83 90 -91 0 + -1 -15 -19 -23 33 -52 -72 77 -84 -99 0 + -4 -33 35 75 0 + -3 -6 19 86 93 0 + 15 -20 27 28 63 -76 0 + 2 4 17 18 34 38 -44 -68 0 + 10 13 15 -29 -46 72 -82 0 + -9 -15 97 0 + -5 26 -45 -86 0 + 21 -34 -44 -55 98 99 0 + 8 14 57 95 0 + -23 -30 57 -78 86 0 + 14 -27 -50 -69 82 0 + 12 13 -24 0 + 25 -26 -37 -52 -55 -76 -88 0 + -14 -19 25 26 54 86 -91 98 0 + 34 -63 66 -75 -78 0 + -23 28 57 -72 76 0 + 10 -32 41 -42 -45 0 + -47 57 0 + 10 18 -26 -33 -72 0 + -6 9 -10 44 56 80 -81 98 99 0 + -10 26 44 -50 -94 98 0 + 29 -51 -55 -67 0 + -4 21 45 0 + 28 91 0 + -2 8 56 -87 -96 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new file mode 100644 --- /dev/null +++ b/dimacs/jnh/jnh302.cnf @@ -0,0 +1,916 @@ +c File: jnh302.cnf +c +c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Not satisfiable +c +p cnf 100 900 + 3 -61 85 0 + -59 82 -97 0 + 2 -12 -23 -60 84 -91 0 + 1 3 21 57 -60 67 0 + 26 29 -56 62 87 0 + -12 15 -25 76 0 + 4 19 34 41 -46 99 100 0 + -58 98 0 + 4 -16 -57 60 -81 -98 0 + -1 -3 12 -18 -22 -71 90 95 0 + 21 26 -41 -67 78 80 0 + 6 -41 -70 0 + 51 79 0 + -18 -28 -51 58 -64 95 0 + 52 -56 0 + 3 17 18 -53 84 87 -94 100 0 + 25 26 -33 -38 -44 0 + -12 19 -20 -57 66 -69 -93 -97 0 + -2 -34 -40 -53 80 82 99 0 + 19 26 -27 65 -75 91 0 + -8 13 -20 -35 -39 -44 -74 0 + 11 -37 -51 -55 -59 69 -88 0 + 22 29 -40 -69 71 0 + -12 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Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Not satisfiable +c +p cnf 100 900 + 24 26 -41 43 79 0 + 19 24 33 -45 -86 89 0 + 7 9 -30 -32 41 -47 -51 -100 0 + 50 55 -70 -96 0 + 8 35 -70 -99 0 + 24 80 0 + -47 -57 -80 87 -93 0 + 13 16 -23 29 81 -85 0 + 32 46 47 -82 0 + -22 -26 54 55 -62 -67 -73 0 + 9 11 28 -41 48 -49 -86 95 -98 0 + -4 20 -31 -63 -69 -82 0 + -3 48 55 -56 94 0 + -17 -37 42 -49 -64 -68 -73 0 + 40 -66 -80 -84 -88 98 0 + 51 58 -69 -98 100 0 + 28 -41 -68 -71 84 0 + 3 -9 -33 80 -85 92 93 0 + -11 37 -47 67 69 82 83 99 0 + 62 75 78 80 -94 0 + -10 -51 -74 -80 0 + -9 -20 63 64 -70 91 0 + 22 60 86 -99 0 + 22 -43 51 73 79 0 + -15 -34 47 -88 -95 0 + 79 -92 0 + -2 -17 -20 -41 -53 77 78 -89 0 + 19 51 -56 63 90 -91 0 + -28 31 -40 -43 -79 -84 90 91 0 + 22 -37 41 99 0 + 6 -7 -10 -88 93 0 + -12 22 75 -97 0 + 9 21 45 -46 63 64 75 83 -91 -98 0 + 9 -15 -59 63 -71 74 -75 0 + -16 -20 -32 -75 91 0 + 10 94 0 + 56 -69 86 0 + 21 -52 -61 93 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DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Not satisfiable +c +p cnf 100 900 + -10 -27 -87 0 + -48 61 86 0 + 15 30 -36 -46 53 0 + -1 25 61 71 -99 0 + -2 -7 78 -79 0 + -40 -91 0 + -9 -85 0 + 11 29 81 -94 0 + -5 -11 34 39 55 57 -65 -83 86 -96 0 + 36 41 56 -93 0 + -10 96 0 + 9 54 -74 88 -90 0 + 96 -97 0 + -2 5 7 -28 0 + 18 29 -31 -35 62 78 80 0 + -2 6 -23 36 85 -90 0 + -28 -63 0 + -48 -60 80 -90 0 + 43 -79 -88 94 0 + 11 -31 -40 -47 51 -64 88 90 0 + -2 -13 -30 33 -48 98 0 + -23 -73 0 + -24 44 -49 52 -91 0 + 6 -16 20 23 -25 -34 -60 -71 82 0 + 9 14 21 -70 75 -88 0 + 15 53 0 + -18 28 46 53 54 0 + 5 8 15 -48 51 -64 -81 0 + -2 -4 -43 97 0 + -5 -10 13 27 -38 60 79 -85 0 + 5 -21 -80 0 + -12 -38 53 -78 96 99 0 + 3 -5 38 49 -83 0 + 12 13 54 -68 0 + 8 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DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Not satisfiable +c +p cnf 100 900 + -54 62 -100 0 + 42 66 -76 0 + 16 17 -32 70 78 0 + 14 30 0 + 4 84 -93 0 + -28 75 -87 91 93 -96 0 + -50 85 91 0 + -17 -21 -25 52 -76 0 + -54 -64 75 76 0 + 6 -11 -28 35 40 -45 55 -76 89 0 + 3 9 20 29 72 0 + 10 -13 19 -25 45 92 -94 -99 0 + 46 63 -81 -94 98 0 + -31 -51 -54 -70 0 + -18 -48 -57 -77 0 + 36 47 -48 -58 -61 64 -72 -74 0 + -31 46 68 -91 -95 0 + 1 29 -39 -47 -52 -84 97 0 + -22 -75 -77 0 + -14 27 0 + -30 34 -86 -89 0 + 3 26 31 90 0 + -38 -78 0 + -13 18 84 0 + 8 50 84 -98 0 + 2 -8 30 31 -43 -73 -85 0 + -13 27 30 32 64 0 + 16 36 39 40 -72 74 -94 98 0 + -4 26 -96 0 + 13 24 -70 90 0 + -29 32 -81 0 + 45 -97 0 + 2 21 23 25 60 -69 72 92 93 0 + 19 24 -66 0 + -10 -20 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100644 --- /dev/null +++ b/dimacs/jnh/jnh309.cnf @@ -0,0 +1,916 @@ +c File: jnh309.cnf +c +c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Not satisfiable +c +p cnf 100 900 + 23 85 -87 -90 0 + -7 -44 -69 80 81 -96 -99 0 + 58 61 83 -98 0 + 58 -79 91 -92 0 + 44 -50 -62 -83 85 86 -88 90 91 -93 -98 0 + -36 57 -78 0 + 8 19 -37 0 + -21 29 30 49 64 -87 -96 0 + 35 -71 0 + -14 19 36 -64 82 -100 0 + 20 57 74 0 + -11 17 39 53 -68 -84 -92 0 + 68 -72 0 + -33 -40 0 + -6 -11 58 72 -83 94 0 + 2 28 60 0 + 41 48 57 59 64 75 -89 -92 0 + -4 15 16 23 -33 -60 68 77 0 + 6 -11 22 -39 44 -64 -95 0 + 22 26 -55 -87 0 + -8 27 -39 64 -81 0 + -10 29 62 -95 0 + 7 17 31 -37 40 58 -60 0 + 16 45 0 + 6 -8 -58 -96 0 + 78 79 -84 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11 17 20 22 -36 -52 0 + -14 -19 -32 85 -100 0 + 1 -4 -17 -59 -64 -71 -90 0 + -11 -34 96 0 diff --git a/dimacs/jnh/jnh310.cnf b/dimacs/jnh/jnh310.cnf new file mode 100644 --- /dev/null +++ b/dimacs/jnh/jnh310.cnf @@ -0,0 +1,916 @@ +c File: jnh310.cnf +c +c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Not satisfiable +c +p cnf 100 900 + 26 63 78 0 + 20 -39 -80 0 + 15 -28 -38 -49 92 93 -99 0 + 2 8 51 89 0 + -17 -24 51 -72 80 0 + 8 -21 -44 -63 76 0 + 6 7 -18 0 + 19 -20 -31 -46 -49 -70 -82 0 + -8 -13 19 20 48 80 -85 92 0 + 28 -57 60 -69 -72 0 + -17 22 51 -66 70 0 + 4 -26 35 -36 -39 0 + -41 51 0 + 4 12 -20 -27 -66 0 + 3 -4 38 50 74 -75 92 93 0 + -4 20 38 -44 -88 92 -100 0 + 23 -45 -49 -61 0 + 15 39 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93 0 + 26 -29 -74 0 + 16 27 38 41 70 0 + -9 13 -24 -29 0 + -11 -16 95 0 + 34 35 -51 55 57 78 -85 -94 0 diff --git a/dimacs/jnh/jnh4.cnf b/dimacs/jnh/jnh4.cnf new file mode 100644 --- /dev/null +++ b/dimacs/jnh/jnh4.cnf @@ -0,0 +1,866 @@ +c File: jnh4.cnf +c +c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Random Problems with hard generator (no single clauses, +c hard density, and so on) +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Updated September 7, 1993 to correct format +c +c +c NOTE: Not satisfiable +c +p cnf 100 850 + -15 22 -28 59 0 + -14 76 81 -84 -97 0 + 3 65 -67 -70 -91 0 + 22 46 -56 0 + -12 50 58 0 + 10 96 97 0 + 64 -73 94 0 + -8 55 -67 71 73 -76 84 0 + -30 65 71 0 + -1 -5 32 -56 0 + -34 -44 55 56 -97 0 + -8 15 20 -25 35 -56 69 0 + 9 52 86 -91 0 + -5 25 72 -74 -79 83 89 100 0 + 26 43 -61 -74 78 90 -93 99 0 + -11 -31 -34 -50 0 + -28 -37 -57 0 + 16 27 -28 -38 -41 44 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instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. 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parity +c function. +c +c parxx-y denotes a parity problem on xx bits. y is simply the +c intance number. +c +c parxx-y-c denotes an instance identical to parxx-y except that +c the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. 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+c function. +c +c parxx-y denotes a parity problem on xx bits. y is simply the +c intance number. +c +c parxx-y-c denotes an instance identical to parxx-y except that +c the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. 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that +c the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. All +c instances are satisfiable by construction) +c +c NOTE: Number of clauses corrected August 3, 1993 +c +c Converted from tableau format Tue Aug 3 09:49:37 EDT 1993 +p cnf 1015 3344 + + 1 + 0 + 545 -1 2 + 0 + -545 1 2 + 0 + 545 1 -2 + 0 + -545 -1 -2 + 0 + 3 -2 + 0 + -3 2 + 0 + 547 -3 4 + 0 + -547 3 4 + 0 + 547 3 -4 + 0 + -547 -3 -4 + 0 + 5 -4 + 0 + -5 4 + 0 + 549 -5 6 + 0 + -549 5 6 + 0 + 549 5 -6 + 0 + -549 -5 -6 + 0 + 550 -6 7 + 0 + -550 6 7 + 0 + 550 6 -7 + 0 + -550 -6 -7 + 0 + 8 -7 + 0 + -8 7 + 0 + 9 -8 + 0 + -9 8 + 0 + 553 -9 10 + 0 + -553 9 10 + 0 + 553 9 -10 + 0 + -553 -9 -10 + 0 + 11 -10 + 0 + -11 10 + 0 + 12 -11 + 0 + -12 11 + 0 + 13 -12 + 0 + -13 12 + 0 + 14 -13 + 0 + -14 13 + 0 + 558 -14 15 + 0 + -558 14 15 + 0 + 558 14 -15 + 0 + -558 -14 -15 + 0 + 559 -15 16 + 0 + -559 15 16 + 0 + 559 15 -16 + 0 + -559 -15 -16 + 0 + 17 -16 + 0 + -17 16 + 0 + 18 + 0 + 19 -18 + 0 + -19 18 + 0 + 546 -19 20 + 0 + -546 19 20 + 0 + 546 19 -20 + 0 + -546 -19 -20 + 0 + 547 -20 21 + 0 + -547 20 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b/dimacs/parity/par16-4-c.cnf new file mode 100644 --- /dev/null +++ b/dimacs/parity/par16-4-c.cnf @@ -0,0 +1,2606 @@ +c FILE: par16-4-c.cnf +c +c SOURCE: James Crawford (jc@research.att.com) +c +c DESCRIPTION: Instance arises from the problem of learning the parity +c function. +c +c parxx-y denotes a parity problem on xx bits. y is simply the +c intance number. +c +c parxx-y-c denotes an instance identical to parxx-y except that +c the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. 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Instance arises from the problem of learning the parity +c function. +c +c parxx-y denotes a parity problem on xx bits. y is simply the +c intance number. +c +c parxx-y-c denotes an instance identical to parxx-y except that +c the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. All +c instances are satisfiable by construction) +c +c NOTE: Number of clauses corrected August 3, 1993 +c +c Converted from tableau format Tue Aug 3 09:49:55 EDT 1993 +p cnf 1015 3324 + + -1 + 0 + 2 -1 + 0 + -2 1 + 0 + 546 -2 3 + 0 + -546 2 3 + 0 + 546 2 -3 + 0 + -546 -2 -3 + 0 + 4 -3 + 0 + -4 3 + 0 + 5 -4 + 0 + -5 4 + 0 + 6 -5 + 0 + -6 5 + 0 + 7 -6 + 0 + -7 6 + 0 + 8 -7 + 0 + -8 7 + 0 + 9 -8 + 0 + -9 8 + 0 + 10 -9 + 0 + -10 9 + 0 + 554 -10 11 + 0 + -554 10 11 + 0 + 554 10 -11 + 0 + -554 -10 -11 + 0 + 555 -11 12 + 0 + -555 11 12 + 0 + 555 11 -12 + 0 + -555 -11 -12 + 0 + 13 -12 + 0 + -13 12 + 0 + 557 -13 14 + 0 + -557 13 14 + 0 + 557 13 -14 + 0 + -557 -13 -14 + 0 + 15 -14 + 0 + -15 14 + 0 + 16 -15 + 0 + -16 15 + 0 + 560 -16 17 + 0 + -560 16 17 + 0 + 560 16 -17 + 0 + -560 -16 -17 + 0 + -18 + 0 + 19 -18 + 0 + -19 18 + 0 + 20 -19 + 0 + -20 19 + 0 + 21 -20 + 0 + -21 20 + 0 + 548 -21 22 + 0 + -548 21 22 + 0 + 548 21 -22 + 0 + -548 -21 -22 + 0 + 549 -22 23 + 0 + -549 22 23 + 0 + 549 22 -23 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the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. All +c instances are satisfiable by construction) +c +c NOTE: Number of clauses corrected August 3, 1993 +c +c Converted from tableau format Tue Aug 3 09:50:07 EDT 1993 +p cnf 341 1360 + -2 1 + 0 + -3 -2 + 0 + -5 4 3 + 0 + -6 -5 3 + 0 + 5 -3 + 0 + 6 -3 + 0 + -3 -2 -1 + 0 + 3 2 -1 + 0 + -3 2 1 + 0 + 3 -2 1 + 0 + -6 -5 -4 + 0 + 6 5 -4 + 0 + -6 5 4 + 0 + 6 -5 4 + 0 + -7 2 + 0 + -8 -7 + 0 + -9 5 8 + 0 + -10 -9 8 + 0 + 9 -8 + 0 + 10 -8 + 0 + -8 -7 -2 + 0 + 8 7 -2 + 0 + -8 7 2 + 0 + 8 -7 2 + 0 + -10 -9 -5 + 0 + 10 9 -5 + 0 + -10 9 5 + 0 + 10 -9 5 + 0 + -11 7 + 0 + -12 -11 + 0 + -13 9 12 + 0 + -14 -13 12 + 0 + 13 -12 + 0 + 14 -12 + 0 + -12 -11 -7 + 0 + 12 11 -7 + 0 + -12 11 7 + 0 + 12 -11 7 + 0 + -14 -13 -9 + 0 + 14 13 -9 + 0 + -14 13 9 + 0 + 14 -13 9 + 0 + -15 11 + 0 + -16 -15 + 0 + -17 13 16 + 0 + -18 -17 16 + 0 + 17 -16 + 0 + 18 -16 + 0 + -16 -15 -11 + 0 + 16 15 -11 + 0 + -16 15 11 + 0 + 16 -15 11 + 0 + -18 -17 -13 + 0 + 18 17 -13 + 0 + -18 17 13 + 0 + 18 -17 13 + 0 + -19 15 + 0 + -20 -19 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-134 -341 133 + 0 + 134 -341 -133 + 0 + -134 341 -133 + 0 + 134 341 133 + 0 + diff --git a/dimacs/parity/par16-5.cnf b/dimacs/parity/par16-5.cnf new file mode 100644 --- /dev/null +++ b/dimacs/parity/par16-5.cnf @@ -0,0 +1,6738 @@ +c FILE: par16-5.cnf +c +c SOURCE: James Crawford (jc@research.att.com) +c +c DESCRIPTION: Instance arises from the problem of learning the parity +c function. +c +c parxx-y denotes a parity problem on xx bits. y is simply the +c intance number. +c +c parxx-y-c denotes an instance identical to parxx-y except that +c the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. 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All +c instances are satisfiable by construction) +c +c NOTE: Number of clauses corrected August 3, 1993 +c +c Converted from tableau format Tue Aug 3 09:55:20 EDT 1993 +p cnf 64 254 + -2 1 + 0 + -3 -2 + 0 + -3 -2 -1 + 0 + 3 2 -1 + 0 + -3 2 1 + 0 + 3 -2 1 + 0 + -4 2 + 0 + -5 -4 + 0 + -5 -4 -2 + 0 + 5 4 -2 + 0 + -5 4 2 + 0 + 5 -4 2 + 0 + -6 4 + 0 + -7 -6 + 0 + -7 -6 -4 + 0 + 7 6 -4 + 0 + -7 6 4 + 0 + 7 -6 4 + 0 + -8 6 + 0 + -9 -8 + 0 + -9 -8 -6 + 0 + 9 8 -6 + 0 + -9 8 6 + 0 + 9 -8 6 + 0 + -10 8 + 0 + -11 -10 + 0 + -11 -10 -8 + 0 + 11 10 -8 + 0 + -11 10 8 + 0 + 11 -10 8 + 0 + -12 10 + 0 + -13 -12 + 0 + -13 -12 -10 + 0 + 13 12 -10 + 0 + -13 12 10 + 0 + 13 -12 10 + 0 + -14 12 + 0 + -15 -14 + 0 + -15 -14 -12 + 0 + 15 14 -12 + 0 + -15 14 12 + 0 + 15 -14 12 + 0 + -16 14 + 0 + -17 -16 + 0 + -17 -16 -14 + 0 + 17 16 -14 + 0 + -17 16 14 + 0 + 17 -16 14 + 0 + -18 16 + 0 + -19 -18 + 0 + -19 -18 -16 + 0 + 19 18 -16 + 0 + -19 18 16 + 0 + 19 -18 16 + 0 + -20 18 + 0 + -21 -20 + 0 + -21 -20 -18 + 0 + 21 20 -18 + 0 + -21 20 18 + 0 + 21 -20 18 + 0 + -22 20 + 0 + -23 -22 + 0 + -23 -22 -20 + 0 + 23 22 -20 + 0 + -23 22 20 + 0 + 23 -22 20 + 0 + -24 22 + 0 + -25 -24 + 0 + -25 -24 -22 + 0 + 25 24 -22 + 0 + -25 24 22 + 0 + 25 -24 22 + 0 + -26 24 + 0 + -27 -26 + 0 + -27 -26 -24 + 0 + 27 26 -24 + 0 + -27 26 24 + 0 + 27 -26 24 + 0 + -28 26 + 0 + -29 -28 + 0 + -29 -28 -26 + 0 + 29 28 -26 + 0 + -29 28 26 + 0 + 29 -28 26 + 0 + 28 -30 + 0 + -31 -30 + 0 + -31 -28 -30 + 0 + 31 -28 30 + 0 + -31 28 30 + 0 + 31 28 -30 + 0 + -33 -32 -3 + 0 + 33 32 -3 + 0 + -33 32 3 + 0 + 33 -32 3 + 0 + -35 -34 -32 + 0 + 35 34 -32 + 0 + -35 34 32 + 0 + 35 -34 32 + 0 + -37 -34 36 + 0 + 37 -34 -36 + 0 + -37 34 -36 + 0 + 37 34 36 + 0 + -39 -38 -5 + 0 + 39 38 -5 + 0 + -39 38 5 + 0 + 39 -38 5 + 0 + -35 -40 -38 + 0 + 35 40 -38 + 0 + -35 40 38 + 0 + 35 -40 38 + 0 + -42 -41 -40 + 0 + 42 41 -40 + 0 + -42 41 40 + 0 + 42 -41 40 + 0 + -36 -41 43 + 0 + 36 -41 -43 + 0 + -36 41 -43 + 0 + 36 41 43 + 0 + -44 -7 29 + 0 + 44 -7 -29 + 0 + 44 7 29 + 0 + -44 7 -29 + 0 + -33 -45 -44 + 0 + 33 45 -44 + 0 + -33 45 44 + 0 + 33 -45 44 + 0 + -37 -36 -45 + 0 + 37 36 -45 + 0 + -37 36 45 + 0 + 37 -36 45 + 0 + -37 -46 -9 + 0 + 37 46 -9 + 0 + -37 46 9 + 0 + 37 -46 9 + 0 + -36 -43 -46 + 0 + 36 43 -46 + 0 + -36 43 46 + 0 + 36 -43 46 + 0 + -39 -47 -11 + 0 + 39 47 -11 + 0 + -39 47 11 + 0 + 39 -47 11 + 0 + -33 -48 -47 + 0 + 33 48 -47 + 0 + -33 48 47 + 0 + 33 -48 47 + 0 + -37 -36 -48 + 0 + 37 36 -48 + 0 + -37 36 48 + 0 + 37 -36 48 + 0 + -39 -49 -13 + 0 + 39 49 -13 + 0 + -39 49 13 + 0 + 39 -49 13 + 0 + -33 -36 -49 + 0 + 33 36 -49 + 0 + -33 36 49 + 0 + 33 -36 49 + 0 + -50 -15 29 + 0 + 50 -15 -29 + 0 + 50 15 29 + 0 + -50 15 -29 + 0 + -35 -37 -50 + 0 + 35 37 -50 + 0 + -35 37 50 + 0 + 35 -37 50 + 0 + -39 -35 -17 + 0 + 39 35 -17 + 0 + -39 35 17 + 0 + 39 -35 17 + 0 + -39 -51 -19 + 0 + 39 51 -19 + 0 + -39 51 19 + 0 + 39 -51 19 + 0 + -35 -52 -51 + 0 + 35 52 -51 + 0 + -35 52 51 + 0 + 35 -52 51 + 0 + -37 -52 42 + 0 + 37 -52 -42 + 0 + -37 52 -42 + 0 + 37 52 42 + 0 + -53 -21 29 + 0 + 53 -21 -29 + 0 + 53 21 29 + 0 + -53 21 -29 + 0 + -33 -54 -53 + 0 + 33 54 -53 + 0 + -33 54 53 + 0 + 33 -54 53 + 0 + -35 -54 42 + 0 + 35 -54 -42 + 0 + -35 54 -42 + 0 + 35 54 42 + 0 + -33 -23 42 + 0 + 33 -23 -42 + 0 + -33 23 -42 + 0 + 33 23 42 + 0 + -55 -25 29 + 0 + 55 -25 -29 + 0 + 55 25 29 + 0 + -55 25 -29 + 0 + -33 -56 -55 + 0 + 33 56 -55 + 0 + -33 56 55 + 0 + 33 -56 55 + 0 + -35 -56 36 + 0 + 35 -56 -36 + 0 + -35 56 -36 + 0 + 35 56 36 + 0 + -39 -57 -27 + 0 + 39 57 -27 + 0 + -39 57 27 + 0 + 39 -57 27 + 0 + -58 -57 29 + 0 + 58 -57 -29 + 0 + 58 57 29 + 0 + -58 57 -29 + 0 + -35 -59 -58 + 0 + 35 59 -58 + 0 + -35 59 58 + 0 + 35 -59 58 + 0 + -37 -59 -36 + 0 + 37 -59 36 + 0 + -37 59 36 + 0 + 37 59 -36 + 0 + -37 -60 -31 + 0 + 37 60 -31 + 0 + -37 60 31 + 0 + 37 -60 31 + 0 + -42 -61 -60 + 0 + 42 61 -60 + 0 + -42 61 60 + 0 + 42 -61 60 + 0 + -36 -61 43 + 0 + 36 -61 -43 + 0 + -36 61 -43 + 0 + 36 61 43 + 0 + -39 -62 -30 + 0 + 39 62 -30 + 0 + -39 62 30 + 0 + 39 -62 30 + 0 + -33 -63 -62 + 0 + 33 63 -62 + 0 + -33 63 62 + 0 + 33 -63 62 + 0 + -42 -64 -63 + 0 + 42 64 -63 + 0 + -42 64 63 + 0 + 42 -64 63 + 0 + -36 -64 -43 + 0 + 36 -64 43 + 0 + -36 64 43 + 0 + 36 64 -43 + 0 + diff --git a/dimacs/parity/par8-1.cnf b/dimacs/parity/par8-1.cnf new file mode 100644 --- /dev/null +++ b/dimacs/parity/par8-1.cnf @@ -0,0 +1,2320 @@ +c FILE: par8-1.cnf +c +c SOURCE: James Crawford (jc@research.att.com) +c +c DESCRIPTION: Instance arises from the problem of learning the parity +c function. +c +c parxx-y denotes a parity problem on xx bits. y is simply the +c intance number. +c +c parxx-y-c denotes an instance identical to parxx-y except that +c the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. 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-284 + 0 + -290 + 0 + -296 + 0 + -302 + 0 + -308 + 0 + -314 + 0 + -320 + 0 + -326 + 0 + -332 + 0 + -338 + 0 + -344 + 0 + -350 + 0 diff --git a/dimacs/parity/par8-2-c.cnf b/dimacs/parity/par8-2-c.cnf new file mode 100644 --- /dev/null +++ b/dimacs/parity/par8-2-c.cnf @@ -0,0 +1,562 @@ +c FILE: par8-2-c.cnf +c +c SOURCE: James Crawford (jc@research.att.com) +c +c DESCRIPTION: Instance arises from the problem of learning the parity +c function. +c +c parxx-y denotes a parity problem on xx bits. y is simply the +c intance number. +c +c parxx-y-c denotes an instance identical to parxx-y except that +c the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. All +c instances are satisfiable by construction) +c +c NOTE: Number of clauses corrected August 3, 1993 +c +c Converted from tableau format Tue Aug 3 09:55:26 EDT 1993 +p cnf 68 270 + -2 1 + 0 + -3 -2 + 0 + -3 -2 -1 + 0 + 3 2 -1 + 0 + -3 2 1 + 0 + 3 -2 1 + 0 + -4 2 + 0 + -5 -4 + 0 + -5 -4 -2 + 0 + 5 4 -2 + 0 + -5 4 2 + 0 + 5 -4 2 + 0 + -6 4 + 0 + -7 -6 + 0 + -7 -6 -4 + 0 + 7 6 -4 + 0 + -7 6 4 + 0 + 7 -6 4 + 0 + -8 6 + 0 + -9 -8 + 0 + -9 -8 -6 + 0 + 9 8 -6 + 0 + -9 8 6 + 0 + 9 -8 6 + 0 + -10 8 + 0 + -11 -10 + 0 + -11 -10 -8 + 0 + 11 10 -8 + 0 + -11 10 8 + 0 + 11 -10 8 + 0 + -12 10 + 0 + -13 -12 + 0 + -13 -12 -10 + 0 + 13 12 -10 + 0 + -13 12 10 + 0 + 13 -12 10 + 0 + -14 12 + 0 + -15 -14 + 0 + -15 -14 -12 + 0 + 15 14 -12 + 0 + -15 14 12 + 0 + 15 -14 12 + 0 + -16 14 + 0 + -17 -16 + 0 + -17 -16 -14 + 0 + 17 16 -14 + 0 + -17 16 14 + 0 + 17 -16 14 + 0 + -18 16 + 0 + -19 -18 + 0 + -19 -18 -16 + 0 + 19 18 -16 + 0 + -19 18 16 + 0 + 19 -18 16 + 0 + -20 18 + 0 + -21 -20 + 0 + -21 -20 -18 + 0 + 21 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problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. All +c instances are satisfiable by construction) +c +c NOTE: Number of clauses corrected August 3, 1993 +c +c Converted from tableau format Tue Aug 3 09:55:28 EDT 1993 +p cnf 350 1157 + + 1 + 0 + 2 -1 + 0 + -2 1 + 0 + 146 -2 3 + 0 + -146 2 3 + 0 + 146 2 -3 + 0 + -146 -2 -3 + 0 + 4 -3 + 0 + -4 3 + 0 + 148 -4 5 + 0 + -148 4 5 + 0 + 148 4 -5 + 0 + -148 -4 -5 + 0 + 149 -5 6 + 0 + -149 5 6 + 0 + 149 5 -6 + 0 + -149 -5 -6 + 0 + 150 -6 7 + 0 + -150 6 7 + 0 + 150 6 -7 + 0 + -150 -6 -7 + 0 + 8 -7 + 0 + -8 7 + 0 + 9 -8 + 0 + -9 8 + 0 + 10 + 0 + 11 -10 + 0 + -11 10 + 0 + 12 -11 + 0 + -12 11 + 0 + 13 -12 + 0 + -13 12 + 0 + 14 -13 + 0 + -14 13 + 0 + 149 -14 15 + 0 + -149 14 15 + 0 + 149 14 -15 + 0 + -149 -14 -15 + 0 + 16 -15 + 0 + -16 15 + 0 + 17 -16 + 0 + -17 16 + 0 + 152 -17 18 + 0 + -152 17 18 + 0 + 152 17 -18 + 0 + -152 -17 -18 + 0 + -19 + 0 + 20 -19 + 0 + -20 19 + 0 + 146 -20 21 + 0 + -146 20 21 + 0 + 146 20 -21 + 0 + -146 -20 -21 + 0 + 147 -21 22 + 0 + -147 21 22 + 0 + 147 21 -22 + 0 + -147 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All +c instances are satisfiable by construction) +c +c NOTE: Number of clauses corrected August 3, 1993 +c +c Converted from tableau format Tue Aug 3 09:55:33 EDT 1993 +p cnf 75 298 + -2 1 + 0 + -3 -2 + 0 + -3 -2 -1 + 0 + 3 2 -1 + 0 + -3 2 1 + 0 + 3 -2 1 + 0 + -4 2 + 0 + -5 -4 + 0 + -5 -4 -2 + 0 + 5 4 -2 + 0 + -5 4 2 + 0 + 5 -4 2 + 0 + -6 4 + 0 + -7 -6 + 0 + -7 -6 -4 + 0 + 7 6 -4 + 0 + -7 6 4 + 0 + 7 -6 4 + 0 + -8 6 + 0 + -9 -8 + 0 + -9 -8 -6 + 0 + 9 8 -6 + 0 + -9 8 6 + 0 + 9 -8 6 + 0 + -10 8 + 0 + -11 -10 + 0 + -11 -10 -8 + 0 + 11 10 -8 + 0 + -11 10 8 + 0 + 11 -10 8 + 0 + -12 10 + 0 + -13 -12 + 0 + -13 -12 -10 + 0 + 13 12 -10 + 0 + -13 12 10 + 0 + 13 -12 10 + 0 + -14 12 + 0 + -15 -14 + 0 + -15 -14 -12 + 0 + 15 14 -12 + 0 + -15 14 12 + 0 + 15 -14 12 + 0 + -16 14 + 0 + -17 -16 + 0 + -17 -16 -14 + 0 + 17 16 -14 + 0 + -17 16 14 + 0 + 17 -16 14 + 0 + -18 16 + 0 + -19 -18 + 0 + -19 -18 -16 + 0 + 19 18 -16 + 0 + -19 18 16 + 0 + 19 -18 16 + 0 + -20 18 + 0 + -21 -20 + 0 + -21 -20 -18 + 0 + 21 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mode 100644 --- /dev/null +++ b/dimacs/parity/par8-3.cnf @@ -0,0 +1,2364 @@ +c FILE: par8-3.cnf +c +c SOURCE: James Crawford (jc@research.att.com) +c +c DESCRIPTION: Instance arises from the problem of learning the parity +c function. +c +c parxx-y denotes a parity problem on xx bits. y is simply the +c intance number. +c +c parxx-y-c denotes an instance identical to parxx-y except that +c the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. All +c instances are satisfiable by construction) +c +c NOTE: Number of clauses corrected August 3, 1993 +c +c Converted from tableau format Tue Aug 3 09:55:35 EDT 1993 +p cnf 350 1171 + + -1 + 0 + 145 -1 2 + 0 + -145 1 2 + 0 + 145 1 -2 + 0 + -145 -1 -2 + 0 + 3 -2 + 0 + -3 2 + 0 + 4 -3 + 0 + -4 3 + 0 + 148 -4 5 + 0 + -148 4 5 + 0 + 148 4 -5 + 0 + -148 -4 -5 + 0 + 149 -5 6 + 0 + -149 5 6 + 0 + 149 5 -6 + 0 + -149 -5 -6 + 0 + 150 -6 7 + 0 + -150 6 7 + 0 + 150 6 -7 + 0 + -150 -6 -7 + 0 + 151 -7 8 + 0 + -151 7 8 + 0 + 151 7 -8 + 0 + -151 -7 -8 + 0 + 9 -8 + 0 + -9 8 + 0 + 10 + 0 + 145 -10 11 + 0 + -145 10 11 + 0 + 145 10 -11 + 0 + -145 -10 -11 + 0 + 12 -11 + 0 + -12 11 + 0 + 13 -12 + 0 + -13 12 + 0 + 14 -13 + 0 + -14 13 + 0 + 149 -14 15 + 0 + -149 14 15 + 0 + 149 14 -15 + 0 + -149 -14 -15 + 0 + 16 -15 + 0 + -16 15 + 0 + 151 -16 17 + 0 + -151 16 17 + 0 + 151 16 -17 + 0 + -151 -16 -17 + 0 + 18 -17 + 0 + -18 17 + 0 + 19 + 0 + 20 -19 + 0 + -20 19 + 0 + 146 -20 21 + 0 + -146 20 21 + 0 + 146 20 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bits. y is simply the +c intance number. +c +c parxx-y-c denotes an instance identical to parxx-y except that +c the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. All +c instances are satisfiable by construction) +c +c NOTE: Number of clauses corrected August 3, 1993 +c +c Converted from tableau format Tue Aug 3 09:55:40 EDT 1993 +p cnf 67 266 + -2 1 + 0 + -3 -2 + 0 + -3 -2 -1 + 0 + 3 2 -1 + 0 + -3 2 1 + 0 + 3 -2 1 + 0 + -4 2 + 0 + -5 -4 + 0 + -5 -4 -2 + 0 + 5 4 -2 + 0 + -5 4 2 + 0 + 5 -4 2 + 0 + -6 4 + 0 + -7 -6 + 0 + -7 -6 -4 + 0 + 7 6 -4 + 0 + -7 6 4 + 0 + 7 -6 4 + 0 + -8 6 + 0 + -9 -8 + 0 + -9 -8 -6 + 0 + 9 8 -6 + 0 + -9 8 6 + 0 + 9 -8 6 + 0 + -10 8 + 0 + -11 -10 + 0 + -11 -10 -8 + 0 + 11 10 -8 + 0 + -11 10 8 + 0 + 11 -10 8 + 0 + -12 10 + 0 + -13 -12 + 0 + -13 -12 -10 + 0 + 13 12 -10 + 0 + -13 12 10 + 0 + 13 -12 10 + 0 + -14 12 + 0 + -15 -14 + 0 + -15 -14 -12 + 0 + 15 14 -12 + 0 + -15 14 12 + 0 + 15 -14 12 + 0 + -16 14 + 0 + -17 -16 + 0 + -17 -16 -14 + 0 + 17 16 -14 + 0 + -17 16 14 + 0 + 17 -16 14 + 0 + -18 16 + 0 + -19 -18 + 0 + -19 -18 -16 + 0 + 19 18 -16 + 0 + -19 18 16 + 0 + 19 -18 16 + 0 + -20 18 + 0 + -21 -20 + 0 + -21 -20 -18 + 0 + 21 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All +c instances are satisfiable by construction) +c +c NOTE: Number of clauses corrected August 3, 1993 +c +c Converted from tableau format Tue Aug 3 09:55:42 EDT 1993 +p cnf 350 1155 + + -1 + 0 + 2 -1 + 0 + -2 1 + 0 + 3 -2 + 0 + -3 2 + 0 + 147 -3 4 + 0 + -147 3 4 + 0 + 147 3 -4 + 0 + -147 -3 -4 + 0 + 148 -4 5 + 0 + -148 4 5 + 0 + 148 4 -5 + 0 + -148 -4 -5 + 0 + 6 -5 + 0 + -6 5 + 0 + 150 -6 7 + 0 + -150 6 7 + 0 + 150 6 -7 + 0 + -150 -6 -7 + 0 + 151 -7 8 + 0 + -151 7 8 + 0 + 151 7 -8 + 0 + -151 -7 -8 + 0 + 152 -8 9 + 0 + -152 8 9 + 0 + 152 8 -9 + 0 + -152 -8 -9 + 0 + -10 + 0 + 145 -10 11 + 0 + -145 10 11 + 0 + 145 10 -11 + 0 + -145 -10 -11 + 0 + 146 -11 12 + 0 + -146 11 12 + 0 + 146 11 -12 + 0 + -146 -11 -12 + 0 + 147 -12 13 + 0 + -147 12 13 + 0 + 147 12 -13 + 0 + -147 -12 -13 + 0 + 148 -13 14 + 0 + -148 13 14 + 0 + 148 13 -14 + 0 + -148 -13 -14 + 0 + 15 -14 + 0 + -15 14 + 0 + 150 -15 16 + 0 + -150 15 16 + 0 + 150 15 -16 + 0 + -150 -15 -16 + 0 + 17 -16 + 0 + -17 16 + 0 + 152 -17 18 + 0 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All +c instances are satisfiable by construction) +c +c NOTE: Number of clauses corrected August 3, 1993 +c +c Converted from tableau format Tue Aug 3 09:55:47 EDT 1993 +p cnf 75 298 + -2 1 + 0 + -3 -2 + 0 + -3 -2 -1 + 0 + 3 2 -1 + 0 + -3 2 1 + 0 + 3 -2 1 + 0 + -4 2 + 0 + -5 -4 + 0 + -5 -4 -2 + 0 + 5 4 -2 + 0 + -5 4 2 + 0 + 5 -4 2 + 0 + -6 4 + 0 + -7 -6 + 0 + -7 -6 -4 + 0 + 7 6 -4 + 0 + -7 6 4 + 0 + 7 -6 4 + 0 + -8 6 + 0 + -9 -8 + 0 + -9 -8 -6 + 0 + 9 8 -6 + 0 + -9 8 6 + 0 + 9 -8 6 + 0 + -10 8 + 0 + -11 -10 + 0 + -11 -10 -8 + 0 + 11 10 -8 + 0 + -11 10 8 + 0 + 11 -10 8 + 0 + -12 10 + 0 + -13 -12 + 0 + -13 -12 -10 + 0 + 13 12 -10 + 0 + -13 12 10 + 0 + 13 -12 10 + 0 + -14 12 + 0 + -15 -14 + 0 + -15 -14 -12 + 0 + 15 14 -12 + 0 + -15 14 12 + 0 + 15 -14 12 + 0 + -16 14 + 0 + -17 -16 + 0 + -17 -16 -14 + 0 + 17 16 -14 + 0 + -17 16 14 + 0 + 17 -16 14 + 0 + -18 16 + 0 + -19 -18 + 0 + -19 -18 -16 + 0 + 19 18 -16 + 0 + -19 18 16 + 0 + 19 -18 16 + 0 + -20 18 + 0 + -21 -20 + 0 + -21 -20 -18 + 0 + 21 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mode 100644 --- /dev/null +++ b/dimacs/parity/par8-5.cnf @@ -0,0 +1,2364 @@ +c FILE: par8-5.cnf +c +c SOURCE: James Crawford (jc@research.att.com) +c +c DESCRIPTION: Instance arises from the problem of learning the parity +c function. +c +c parxx-y denotes a parity problem on xx bits. y is simply the +c intance number. +c +c parxx-y-c denotes an instance identical to parxx-y except that +c the instances have been simplified (to create an equivalent +c problem). +c +c NOTE: Satisfiable (checked for 8 and 16 size instances. 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+c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Not satisfiable +c +p cnf 110 561 +-1 -11 0 +-1 -21 0 +-1 -31 0 +-1 -41 0 +-1 -51 0 +-1 -61 0 +-1 -71 0 +-1 -81 0 +-1 -91 0 +-1 -101 0 +-11 -21 0 +-11 -31 0 +-11 -41 0 +-11 -51 0 +-11 -61 0 +-11 -71 0 +-11 -81 0 +-11 -91 0 +-11 -101 0 +-21 -31 0 +-21 -41 0 +-21 -51 0 +-21 -61 0 +-21 -71 0 +-21 -81 0 +-21 -91 0 +-21 -101 0 +-31 -41 0 +-31 -51 0 +-31 -61 0 +-31 -71 0 +-31 -81 0 +-31 -91 0 +-31 -101 0 +-41 -51 0 +-41 -61 0 +-41 -71 0 +-41 -81 0 +-41 -91 0 +-41 -101 0 +-51 -61 0 +-51 -71 0 +-51 -81 0 +-51 -91 0 +-51 -101 0 +-61 -71 0 +-61 -81 0 +-61 -91 0 +-61 -101 0 +-71 -81 0 +-71 -91 0 +-71 -101 0 +-81 -91 0 +-81 -101 0 +-91 -101 0 +-2 -12 0 +-2 -22 0 +-2 -32 0 +-2 -42 0 +-2 -52 0 +-2 -62 0 +-2 -72 0 +-2 -82 0 +-2 -92 0 +-2 -102 0 +-12 -22 0 +-12 -32 0 +-12 -42 0 +-12 -52 0 +-12 -62 0 +-12 -72 0 +-12 -82 0 +-12 -92 0 +-12 -102 0 +-22 -32 0 +-22 -42 0 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placing n (for file holen) pigeons +c in n+1 holes without placing 2 pigeons in the same hole +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Not satisfiable +c +p cnf 42 133 +-1 -7 0 +-1 -13 0 +-1 -19 0 +-1 -25 0 +-1 -31 0 +-1 -37 0 +-7 -13 0 +-7 -19 0 +-7 -25 0 +-7 -31 0 +-7 -37 0 +-13 -19 0 +-13 -25 0 +-13 -31 0 +-13 -37 0 +-19 -25 0 +-19 -31 0 +-19 -37 0 +-25 -31 0 +-25 -37 0 +-31 -37 0 +-2 -8 0 +-2 -14 0 +-2 -20 0 +-2 -26 0 +-2 -32 0 +-2 -38 0 +-8 -14 0 +-8 -20 0 +-8 -26 0 +-8 -32 0 +-8 -38 0 +-14 -20 0 +-14 -26 0 +-14 -32 0 +-14 -38 0 +-20 -26 0 +-20 -32 0 +-20 -38 0 +-26 -32 0 +-26 -38 0 +-32 -38 0 +-3 -9 0 +-3 -15 0 +-3 -21 0 +-3 -27 0 +-3 -33 0 +-3 -39 0 +-9 -15 0 +-9 -21 0 +-9 -27 0 +-9 -33 0 +-9 -39 0 +-15 -21 0 +-15 -27 0 +-15 -33 0 +-15 -39 0 +-21 -27 0 +-21 -33 0 +-21 -39 0 +-27 -33 0 +-27 -39 0 +-33 -39 0 +-4 -10 0 +-4 -16 0 +-4 -22 0 +-4 -28 0 +-4 -34 0 +-4 -40 0 +-10 -16 0 +-10 -22 0 +-10 -28 0 +-10 -34 0 +-10 -40 0 +-16 -22 0 +-16 -28 0 +-16 -34 0 +-16 -40 0 +-22 -28 0 +-22 -34 0 +-22 -40 0 +-28 -34 0 +-28 -40 0 +-34 -40 0 +-5 -11 0 +-5 -17 0 +-5 -23 0 +-5 -29 0 +-5 -35 0 +-5 -41 0 +-11 -17 0 +-11 -23 0 +-11 -29 0 +-11 -35 0 +-11 -41 0 +-17 -23 0 +-17 -29 0 +-17 -35 0 +-17 -41 0 +-23 -29 0 +-23 -35 0 +-23 -41 0 +-29 -35 0 +-29 -41 0 +-35 -41 0 +-6 -12 0 +-6 -18 0 +-6 -24 0 +-6 -30 0 +-6 -36 0 +-6 -42 0 +-12 -18 0 +-12 -24 0 +-12 -30 0 +-12 -36 0 +-12 -42 0 +-18 -24 0 +-18 -30 0 +-18 -36 0 +-18 -42 0 +-24 -30 0 +-24 -36 0 +-24 -42 0 +-30 -36 0 +-30 -42 0 +-36 -42 0 + 6 5 4 3 2 1 0 + 12 11 10 9 8 7 0 + 18 17 16 15 14 13 0 + 24 23 22 21 20 19 0 + 30 29 28 27 26 25 0 + 36 35 34 33 32 31 0 + 42 41 40 39 38 37 0 diff --git a/dimacs/phole/hole7.cnf b/dimacs/phole/hole7.cnf new file mode 100644 --- /dev/null +++ b/dimacs/phole/hole7.cnf @@ -0,0 +1,217 @@ +c File: hole7.cnf +c +c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Pigeon hole problem of placing n (for file holen) pigeons +c in n+1 holes without placing 2 pigeons in the same hole +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Not satisfiable +c +p cnf 56 204 +-1 -8 0 +-1 -15 0 +-1 -22 0 +-1 -29 0 +-1 -36 0 +-1 -43 0 +-1 -50 0 +-8 -15 0 +-8 -22 0 +-8 -29 0 +-8 -36 0 +-8 -43 0 +-8 -50 0 +-15 -22 0 +-15 -29 0 +-15 -36 0 +-15 -43 0 +-15 -50 0 +-22 -29 0 +-22 -36 0 +-22 -43 0 +-22 -50 0 +-29 -36 0 +-29 -43 0 +-29 -50 0 +-36 -43 0 +-36 -50 0 +-43 -50 0 +-2 -9 0 +-2 -16 0 +-2 -23 0 +-2 -30 0 +-2 -37 0 +-2 -44 0 +-2 -51 0 +-9 -16 0 +-9 -23 0 +-9 -30 0 +-9 -37 0 +-9 -44 0 +-9 -51 0 +-16 -23 0 +-16 -30 0 +-16 -37 0 +-16 -44 0 +-16 -51 0 +-23 -30 0 +-23 -37 0 +-23 -44 0 +-23 -51 0 +-30 -37 0 +-30 -44 0 +-30 -51 0 +-37 -44 0 +-37 -51 0 +-44 -51 0 +-3 -10 0 +-3 -17 0 +-3 -24 0 +-3 -31 0 +-3 -38 0 +-3 -45 0 +-3 -52 0 +-10 -17 0 +-10 -24 0 +-10 -31 0 +-10 -38 0 +-10 -45 0 +-10 -52 0 +-17 -24 0 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0 +-34 -48 0 +-34 -55 0 +-41 -48 0 +-41 -55 0 +-48 -55 0 +-7 -14 0 +-7 -21 0 +-7 -28 0 +-7 -35 0 +-7 -42 0 +-7 -49 0 +-7 -56 0 +-14 -21 0 +-14 -28 0 +-14 -35 0 +-14 -42 0 +-14 -49 0 +-14 -56 0 +-21 -28 0 +-21 -35 0 +-21 -42 0 +-21 -49 0 +-21 -56 0 +-28 -35 0 +-28 -42 0 +-28 -49 0 +-28 -56 0 +-35 -42 0 +-35 -49 0 +-35 -56 0 +-42 -49 0 +-42 -56 0 +-49 -56 0 + 7 6 5 4 3 2 1 0 + 14 13 12 11 10 9 8 0 + 21 20 19 18 17 16 15 0 + 28 27 26 25 24 23 22 0 + 35 34 33 32 31 30 29 0 + 42 41 40 39 38 37 36 0 + 49 48 47 46 45 44 43 0 + 56 55 54 53 52 51 50 0 diff --git a/dimacs/phole/hole8.cnf b/dimacs/phole/hole8.cnf new file mode 100644 --- /dev/null +++ b/dimacs/phole/hole8.cnf @@ -0,0 +1,310 @@ +c File: hole8.cnf +c +c SOURCE: John Hooker (jh38+@andrew.cmu.edu) +c +c DESCRIPTION: Pigeon hole problem of placing n (for file holen) pigeons +c in n+1 holes without placing 2 pigeons in the same hole +c +c NOTE: Part of the collection at the Forschungsinstitut fuer +c anwendungsorientierte Wissensverarbeitung in Ulm Germany. +c +c NOTE: Not satisfiable +c +p cnf 72 297 +-1 -9 0 +-1 -17 0 +-1 -25 0 +-1 -33 0 +-1 -41 0 +-1 -49 0 +-1 -57 0 +-1 -65 0 +-9 -17 0 +-9 -25 0 +-9 -33 0 +-9 -41 0 +-9 -49 0 +-9 -57 0 +-9 -65 0 +-17 -25 0 +-17 -33 0 +-17 -41 0 +-17 -49 0 +-17 -57 0 +-17 -65 0 +-25 -33 0 +-25 -41 0 +-25 -49 0 +-25 -57 0 +-25 -65 0 +-33 -41 0 +-33 -49 0 +-33 -57 0 +-33 -65 0 +-41 -49 0 +-41 -57 0 +-41 -65 0 +-49 -57 0 +-49 -65 0 +-57 -65 0 +-2 -10 0 +-2 -18 0 +-2 -26 0 +-2 -34 0 +-2 -42 0 +-2 -50 0 +-2 -58 0 +-2 -66 0 +-10 -18 0 +-10 -26 0 +-10 -34 0 +-10 -42 0 +-10 -50 0 +-10 -58 0 +-10 -66 0 +-18 -26 0 +-18 -34 0 +-18 -42 0 +-18 -50 0 +-18 -58 0 +-18 -66 0 +-26 -34 0 +-26 -42 0 +-26 -50 0 +-26 -58 0 +-26 -66 0 +-34 -42 0 +-34 -50 0 +-34 -58 0 +-34 -66 0 +-42 -50 0 +-42 -58 0 +-42 -66 0 +-50 -58 0 +-50 -66 0 +-58 -66 0 +-3 -11 0 +-3 -19 0 +-3 -27 0 +-3 -35 0 +-3 -43 0 +-3 -51 0 +-3 -59 0 +-3 -67 0 +-11 -19 0 +-11 -27 0 +-11 -35 0 +-11 -43 0 +-11 -51 0 +-11 -59 0 +-11 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+-1 -64 0 +-1 -73 0 +-1 -82 0 +-10 -19 0 +-10 -28 0 +-10 -37 0 +-10 -46 0 +-10 -55 0 +-10 -64 0 +-10 -73 0 +-10 -82 0 +-19 -28 0 +-19 -37 0 +-19 -46 0 +-19 -55 0 +-19 -64 0 +-19 -73 0 +-19 -82 0 +-28 -37 0 +-28 -46 0 +-28 -55 0 +-28 -64 0 +-28 -73 0 +-28 -82 0 +-37 -46 0 +-37 -55 0 +-37 -64 0 +-37 -73 0 +-37 -82 0 +-46 -55 0 +-46 -64 0 +-46 -73 0 +-46 -82 0 +-55 -64 0 +-55 -73 0 +-55 -82 0 +-64 -73 0 +-64 -82 0 +-73 -82 0 +-2 -11 0 +-2 -20 0 +-2 -29 0 +-2 -38 0 +-2 -47 0 +-2 -56 0 +-2 -65 0 +-2 -74 0 +-2 -83 0 +-11 -20 0 +-11 -29 0 +-11 -38 0 +-11 -47 0 +-11 -56 0 +-11 -65 0 +-11 -74 0 +-11 -83 0 +-20 -29 0 +-20 -38 0 +-20 -47 0 +-20 -56 0 +-20 -65 0 +-20 -74 0 +-20 -83 0 +-29 -38 0 +-29 -47 0 +-29 -56 0 +-29 -65 0 +-29 -74 0 +-29 -83 0 +-38 -47 0 +-38 -56 0 +-38 -65 0 +-38 -74 0 +-38 -83 0 +-47 -56 0 +-47 -65 0 +-47 -74 0 +-47 -83 0 +-56 -65 0 +-56 -74 0 +-56 -83 0 +-65 -74 0 +-65 -83 0 +-74 -83 0 +-3 -12 0 +-3 -21 0 +-3 -30 0 +-3 -39 0 +-3 -48 0 +-3 -57 0 +-3 -66 0 +-3 -75 0 +-3 -84 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-> 75) ==> 60 +c Number of Propositional variables ==> 150 +c Number of Clauses ==> 400 +c Nodes with Charge = 1 ==> 71 +c Horn Percentage (exact) ==> 60.000 +c +c ----------------------------------------------------- +p cnf 150 400 + -3 -2 -1 0 + 3 2 -1 0 + 2 1 -3 0 + 3 1 -2 0 + -6 -5 -4 0 + 6 5 -4 0 + 5 4 -6 0 + 6 4 -5 0 + -9 -8 -7 0 + 9 8 -7 0 + 8 7 -9 0 + 9 7 -8 0 + -12 -11 -10 0 + 12 11 -10 0 + 11 10 -12 0 + 12 10 -11 0 + -15 -14 -13 0 + 15 14 -13 0 + 14 13 -15 0 + 15 13 -14 0 + -18 -17 -16 0 + 18 17 -16 0 + 17 16 -18 0 + 18 16 -17 0 + -21 -20 -19 0 + 21 20 -19 0 + 20 19 -21 0 + 21 19 -20 0 + -24 -23 -22 0 + 24 23 -22 0 + 23 22 -24 0 + 24 22 -23 0 + -27 -26 -25 0 + 27 26 -25 0 + 26 25 -27 0 + 27 25 -26 0 + -30 -29 -28 0 + 30 29 -28 0 + 29 28 -30 0 + 30 28 -29 0 + -33 -32 -31 0 + 33 32 -31 0 + 32 31 -33 0 + 33 31 -32 0 + -36 -35 -34 0 + 36 35 -34 0 + 35 34 -36 0 + 36 34 -35 0 + -39 -38 -37 0 + 39 38 -37 0 + 38 37 -39 0 + 39 37 -38 0 + -42 -41 -40 0 + 42 41 -40 0 + 41 40 -42 0 + 42 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(exact) ==> 37.000 +c +c ----------------------------------------------------- +p cnf 60 160 + -3 -2 -1 0 + 3 2 -1 0 + 2 1 -3 0 + 3 1 -2 0 + -6 -5 -4 0 + 6 5 -4 0 + 5 4 -6 0 + 6 4 -5 0 + -9 -8 -7 0 + 9 8 -7 0 + 8 7 -9 0 + 9 7 -8 0 + -12 -11 -10 0 + 12 11 -10 0 + 11 10 -12 0 + 12 10 -11 0 + -15 -14 -13 0 + 15 14 -13 0 + 14 13 -15 0 + 15 13 -14 0 + -18 -17 -16 0 + 18 17 -16 0 + 17 16 -18 0 + 18 16 -17 0 + -21 -20 -19 0 + 21 20 -19 0 + 20 19 -21 0 + 21 19 -20 0 + -24 -23 -22 0 + 24 23 -22 0 + 23 22 -24 0 + 24 22 -23 0 + -27 -26 -25 0 + 27 26 -25 0 + 26 25 -27 0 + 27 25 -26 0 + -30 -29 -28 0 + 30 29 -28 0 + 29 28 -30 0 + 30 28 -29 0 + -33 -32 -31 0 + 33 32 -31 0 + 32 31 -33 0 + 33 31 -32 0 + -36 -35 -34 0 + 36 35 -34 0 + 35 34 -36 0 + 36 34 -35 0 + -39 -38 -37 0 + 39 38 -37 0 + 38 37 -39 0 + 39 37 -38 0 + -40 -37 -16 0 + 40 37 -16 0 + 37 16 -40 0 + 40 16 -37 0 + -42 -41 -15 0 + 42 41 -15 0 + 41 15 -42 0 + 42 15 -41 0 + -43 -41 -14 0 + 43 41 -14 0 + 41 14 -43 0 + 43 14 -41 0 + -44 -18 -10 0 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-55 0 + 57 36 7 0 + 57 -36 -7 0 + 36 -57 -7 0 + 7 -57 -36 0 + 57 35 31 0 + 57 -35 -31 0 + 35 -57 -31 0 + 31 -57 -35 0 + 59 58 3 0 + 59 -58 -3 0 + 58 -59 -3 0 + 3 -59 -58 0 + 58 40 2 0 + 58 -40 -2 0 + 40 -58 -2 0 + 2 -58 -40 0 + 60 43 39 0 + 60 -43 -39 0 + 43 -60 -39 0 + 39 -60 -43 0 + 60 59 38 0 + 60 -59 -38 0 + 59 -60 -38 0 + 38 -60 -59 0 +0 diff --git a/dimacs/pret/pret60_60.cnf b/dimacs/pret/pret60_60.cnf new file mode 100644 --- /dev/null +++ b/dimacs/pret/pret60_60.cnf @@ -0,0 +1,182 @@ +c File: pret60_60.cnf +c +c SOURCE: Daniel Pretolani (daniele@crt.umontreal.ca) +c +c DESCRIPTION: Unsatisfiable instances of a graph 2-coloring with +c parity constraints. +c +c ----------- DIMACS Challenge - CNF format ----------- +c +c TRISAT Generator (Pretolani 1990) +c +c (Even) number of nodes ==> 40 +c Charge ( 0 = sat. / 1 = unsat. ) ==> 1 +c Horn Percentage (min -> 25; max -> 75) ==> 60 +c Number of Propositional variables ==> 60 +c Number of Clauses ==> 160 +c Nodes with Charge = 1 ==> 29 +c Horn Percentage (exact) ==> 57.000 +c +c ----------------------------------------------------- +p cnf 60 160 + -3 -2 -1 0 + 3 2 -1 0 + 2 1 -3 0 + 3 1 -2 0 + -6 -5 -4 0 + 6 5 -4 0 + 5 4 -6 0 + 6 4 -5 0 + -9 -8 -7 0 + 9 8 -7 0 + 8 7 -9 0 + 9 7 -8 0 + -12 -11 -10 0 + 12 11 -10 0 + 11 10 -12 0 + 12 10 -11 0 + -15 -14 -13 0 + 15 14 -13 0 + 14 13 -15 0 + 15 13 -14 0 + -18 -17 -16 0 + 18 17 -16 0 + 17 16 -18 0 + 18 16 -17 0 + -21 -20 -19 0 + 21 20 -19 0 + 20 19 -21 0 + 21 19 -20 0 + -24 -23 -22 0 + 24 23 -22 0 + 23 22 -24 0 + 24 22 -23 0 + -27 -26 -25 0 + 27 26 -25 0 + 26 25 -27 0 + 27 25 -26 0 + -30 -29 -28 0 + 30 29 -28 0 + 29 28 -30 0 + 30 28 -29 0 + -33 -32 -31 0 + 33 32 -31 0 + 32 31 -33 0 + 33 31 -32 0 + 36 35 34 0 + 36 -35 -34 0 + 35 -36 -34 0 + 34 -36 -35 0 + 39 38 37 0 + 39 -38 -37 0 + 38 -39 -37 0 + 37 -39 -38 0 + 40 37 16 0 + 40 -37 -16 0 + 37 -40 -16 0 + 16 -40 -37 0 + 42 41 15 0 + 42 -41 -15 0 + 41 -42 -15 0 + 15 -42 -41 0 + 43 41 14 0 + 43 -41 -14 0 + 41 -43 -14 0 + 14 -43 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with Charge = 1 ==> 39 +c Horn Percentage (exact) ==> 72.000 +c +c ----------------------------------------------------- +p cnf 60 160 + -3 -2 -1 0 + 3 2 -1 0 + 2 1 -3 0 + 3 1 -2 0 + 6 5 4 0 + 6 -5 -4 0 + 5 -6 -4 0 + 4 -6 -5 0 + 9 8 7 0 + 9 -8 -7 0 + 8 -9 -7 0 + 7 -9 -8 0 + 12 11 10 0 + 12 -11 -10 0 + 11 -12 -10 0 + 10 -12 -11 0 + 15 14 13 0 + 15 -14 -13 0 + 14 -15 -13 0 + 13 -15 -14 0 + 18 17 16 0 + 18 -17 -16 0 + 17 -18 -16 0 + 16 -18 -17 0 + 21 20 19 0 + 21 -20 -19 0 + 20 -21 -19 0 + 19 -21 -20 0 + 24 23 22 0 + 24 -23 -22 0 + 23 -24 -22 0 + 22 -24 -23 0 + 27 26 25 0 + 27 -26 -25 0 + 26 -27 -25 0 + 25 -27 -26 0 + 30 29 28 0 + 30 -29 -28 0 + 29 -30 -28 0 + 28 -30 -29 0 + 33 32 31 0 + 33 -32 -31 0 + 32 -33 -31 0 + 31 -33 -32 0 + 36 35 34 0 + 36 -35 -34 0 + 35 -36 -34 0 + 34 -36 -35 0 + 39 38 37 0 + 39 -38 -37 0 + 38 -39 -37 0 + 37 -39 -38 0 + 40 37 16 0 + 40 -37 -16 0 + 37 -40 -16 0 + 16 -40 -37 0 + 42 41 15 0 + 42 -41 -15 0 + 41 -42 -15 0 + 15 -42 -41 0 + 43 41 14 0 + 43 -41 -14 0 + 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b/dimacs/ssa/ssa2670-130.cnf new file mode 100644 --- /dev/null +++ b/dimacs/ssa/ssa2670-130.cnf @@ -0,0 +1,3334 @@ +c FILE: ssa2670-130.cnf +c +c SOURCE: Allen Van Gelder (avg@cs.ucsd.edu) and Yumi Tsuji +c (tsuji@cse.ucsc.edu) +c +c Nemesis formula in 6CNF in accordance with DIMACS CNF format: +c Filename: MCNC/c2670/c2670.tdl +c Formula number 130 +c 4848 variables (range: 2 - 4849) +c 3321 clauses +c +c p cnf 4849 3321 +p cnf 1359 3321 +1359 0 +916 0 +-917 0 +915 0 +-125 -1351 0 +123 -1351 0 +125 -1352 0 +-123 -1352 0 +-1352 1350 0 +-1351 1350 0 +1196 123 0 +-1196 -123 0 +-1197 124 0 +1198 125 0 +-1198 -125 0 +1082 -1196 0 +-1082 1196 0 +1082 -1199 0 +-1082 1199 0 +1083 -1197 0 +1083 -1200 0 +1084 -1198 0 +-1084 1198 0 +1084 -1201 0 +-1084 1201 0 +1091 1082 0 +-1080 1083 0 +-1089 1083 0 +-1092 1083 0 +1093 1084 0 +902 -1085 0 +-902 1085 0 +902 -1088 0 +-902 1088 0 +902 -1091 0 +-902 1091 0 +903 -1086 0 +903 -1089 0 +903 -1092 0 +904 -1087 0 +-904 1087 0 +904 -1090 0 +-904 1090 0 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b/dimacs/ssa/ssa7552-159.cnf @@ -0,0 +1,3045 @@ +c FILE: ssa7552-159.cnf +c +c SOURCE: Allen Van Gelder (avg@cs.ucsd.edu) and Yumi Tsuji +c (tsuji@cse.ucsc.edu) +c +c Nemesis formula in 6CNF in accordance with DIMACS CNF format: +c Filename: MCNC/c7552/c7552.tdl +c Formula number 159 +c 13087 variables (range: 2 - 13088) +c 3032 clauses +c +c p cnf 13088 3032 +p cnf 1363 3032 +1363 0 +231 0 +-232 0 +230 0 +-127 -1361 0 +125 -1361 0 +127 -1362 0 +-125 -1362 0 +-1362 1360 0 +-1361 1360 0 +824 125 0 +-840 126 0 +-825 126 0 +-840 -828 0 +826 127 0 +842 824 0 +-843 825 0 +-837 -832 0 +-833 -836 0 +844 826 0 +623 -839 0 +-623 839 0 +623 -842 0 +-623 842 0 +624 -840 0 +624 -843 0 +625 -841 0 +-625 841 0 +625 -844 0 +-625 844 0 +631 623 0 +-341 624 0 +-341 -627 0 +-341 631 0 +-628 631 0 +631 625 0 +366 -630 0 +-366 630 0 +366 -631 0 +-366 631 0 +-290 -366 0 +-367 -366 0 +-368 -366 0 +-361 -366 0 +-358 -361 0 +-481 -361 0 +-363 -361 0 +365 363 0 +-365 -363 0 +355 -364 0 +-355 364 0 +355 -365 0 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<- sudokuModel + for_ m boostScore + sudokuValues m initValues + sudokuRules m + + simplify + + sol <- solve m + + s1 <- numberOfVariables + s2 <- numberOfClauses + s3 <- numberOfLearnts + s4 <- numberOfLearntLiterals + s5 <- numberOfConflicts + s6 <- numberOfRestarts + + return (sol, (s1, s2, s3, s4, s5, s6)) + + case msol of + Nothing -> putStrLn "No solution" + Just (sol, (s1, s2, s3, s4, s5, s6)) -> do + let stats = True + when stats $ do + putStrLn $ "variables: " ++ show s1 + putStrLn $ "clauses: " ++ show s2 + putStrLn $ "learnts clauses: " ++ show s3 + putStrLn $ "learnts literals: " ++ show s4 + putStrLn $ "conflicts: " ++ show s5 + putStrLn $ "restarts: " ++ show s6 + + putStrLn "Solution:" + let solution' = decode sol + putStr $ render solution' + + if solution' == solution + then exitSuccess + else do + putStrLn "Doesn't match solution" + exitFailure + +------------------------------------------------------------------------------- +-- Initial values +------------------------------------------------------------------------------- + +initValues :: Nine (Nine Int) +initValues = N9 + -- From https://en.wikipedia.org/w/index.php?title=Sudoku&oldid=543290082 + + -- We make the problem easier, though DPLL can solve this sudoku given enough time (i.e. minutes). + +{- + (N9 5 3 4 6 7 8 9 1 2) + (N9 6 7 2 1 9 5 3 4 8) + (N9 1 9 8 3 4 2 5 6 7) + (N9 8 5 9 7 6 1 4 2 3) + (N9 4 2 6 8 5 3 7 9 1) + (N9 7 1 3 9 2 4 8 5 6) + (N9 9 6 1 5 3 7 2 8 4) + (N9 2 8 7 4 1 9 6 3 5) + (N9 3 4 5 2 8 6 1 7 9) +-} + +{- +-} + (N9 5 3 0 0 7 0 0 0 0) + (N9 6 0 0 1 9 5 0 0 0) + (N9 0 9 8 0 0 0 0 6 0) + (N9 8 0 0 0 6 0 0 0 3) + (N9 4 0 0 8 0 3 0 0 1) + (N9 7 0 0 0 2 0 0 0 6) + (N9 0 6 0 0 0 0 2 8 0) + (N9 0 0 0 4 1 9 0 0 5) + (N9 0 0 0 0 8 0 0 7 9) + +solution :: Nine (Nine Int) +solution = N9 + (N9 5 3 4 6 7 8 9 1 2) + (N9 6 7 2 1 9 5 3 4 8) + (N9 1 9 8 3 4 2 5 6 7) + (N9 8 5 9 7 6 1 4 2 3) + (N9 4 2 6 8 5 3 7 9 1) + (N9 7 1 3 9 2 4 8 5 6) + (N9 9 6 1 5 3 7 2 8 4) + (N9 2 8 7 4 1 9 6 3 5) + (N9 3 4 5 2 8 6 1 7 9) + +------------------------------------------------------------------------------- +-- Rendering +------------------------------------------------------------------------------- + +render :: Nine (Nine Int) -> String +render sol = unlines $ renderGroups top divider bottom $ fmap renderLine sol + where + top = bar "┌" "───────" "┬" "┐" + divider = bar "├" "───────" "┼" "┤" + bottom = bar "└" "───────" "┴" "┘" + + bar begin fill middle end = begin ++ fill ++ middle ++ fill ++ middle ++ fill ++ end + +renderLine :: Nine Int -> String +renderLine sol = unwords $ renderGroups "│" "│" "│" $ fmap showN sol + where + showN n | 1 <= n && n <= 9 = show n + | otherwise = " " + +renderGroups :: a -> a -> a -> Nine a -> [a] +renderGroups begin middle end (N (T xs ys zs)) = + [begin] ++ toList xs ++ [middle] ++ toList ys ++ [middle] ++ toList zs ++ [end] + +------------------------------------------------------------------------------- +-- Triple +------------------------------------------------------------------------------- + +data Triple a = T a a a + deriving (Eq, Functor, Foldable, Traversable) + +instance Applicative Triple where + pure x = T x x x + T f g h <*> T x y z = T (f x) (g y) (h z) + +newtype Nine a = N { unN :: Triple (Triple a) } + deriving (Eq, Functor, Foldable, Traversable) + +instance Applicative Nine where + pure x = N (pure (pure x)) + N f <*> N x = N (liftA2 (<*>) f x) + +pattern N9 :: a -> a -> a -> a -> a -> a -> a -> a -> a -> Nine a +pattern N9 a b c d e f g h i = N (T (T a b c) (T d e f) (T g h i)) +{-# COMPLETE N9 #-} + +------------------------------------------------------------------------------- +-- Sudoku model +------------------------------------------------------------------------------- + +-- | Model is nine rows of nine columns of nine bits. +newtype Model a = M (Nine (Nine (Nine a))) + deriving (Functor, Foldable, Traversable) + +emptyModel :: Model () +emptyModel = M $ pure $ pure $ pure () + +decode :: Model Bool -> Nine (Nine Int) +decode (M m) = fmap (fmap f) m where + f :: Nine Bool -> Int + f (N9 X _ _ _ _ _ _ _ _) = 1 + f (N9 _ X _ _ _ _ _ _ _) = 2 + f (N9 _ _ X _ _ _ _ _ _) = 3 + f (N9 _ _ _ X _ _ _ _ _) = 4 + f (N9 _ _ _ _ X _ _ _ _) = 5 + f (N9 _ _ _ _ _ X _ _ _) = 6 + f (N9 _ _ _ _ _ _ X _ _) = 7 + f (N9 _ _ _ _ _ _ _ X _) = 8 + f (N9 _ _ _ _ _ _ _ _ X) = 9 + f _ = 0 + +pattern X :: Bool +pattern X = True + +------------------------------------------------------------------------------- +-- SAT rules +------------------------------------------------------------------------------- + +-- | Populate model with the literals. +sudokuModel :: SAT s (Model (Lit s)) +sudokuModel = traverse (\_ -> newLit) emptyModel + +-- | Sudoku rules. +-- +-- Add constraints of the puzzle. +sudokuRules :: Model (Lit s) -> SAT s () +sudokuRules model = do + -- each "digit" is 1..9 + -- we encode digits using 9 bits. + -- exactly one, i.e. at most one and and least one have to set. + forDigit_ model $ \d -> do + let lits = toList d + assertAtMostOne lits + assertAtLeastOne lits + + -- With above digit encoding the sudoku rules are easy to encode: + -- For each row we should have at least one 1, at least one 2, ... 9 + -- And similarly for columns and subsquares. + -- + -- If we also require that each row, column and subsquare has at most one 1..9 + -- the given problem becomes trivial, as is solved by initial unit propagation. + + -- each row + forRow_ model $ \block -> do + let block' = sequenceA block + for_ block' $ \d -> do + let lits = toList d + assertAtLeastOne lits + -- assertAtMostOne lits + + -- each column + forColumn_ model $ \block -> do + let block' = sequenceA block + for_ block' $ \d -> do + let lits = toList d + assertAtLeastOne lits + -- assertAtMostOne lits + + -- each subsquare + forSubSq_ model $ \block -> do + let block' = sequenceA block + for_ block' $ \d -> do + let lits = toList d + assertAtLeastOne lits + -- assertAtMostOne lits + +forDigit_ :: Applicative f => Model a -> (Nine a -> f b) -> f () +forDigit_ (M m) f = traverse_ (traverse_ f) m + +forRow_ :: Applicative f => Model a -> (Nine (Nine a) -> f b) -> f () +forRow_ (M m) f = traverse_ f m + +forColumn_ :: Applicative f => Model a -> (Nine (Nine a) -> f b) -> f () +forColumn_ (M m) f = traverse_ f (sequenceA m) + +forSubSq_ :: Applicative f => Model a -> (Nine (Nine a) -> f b) -> f () +forSubSq_ (M m) f = traverse_ f $ fmap N $ N $ fmap sequenceA $ unN $ fmap unN m + +-- | Add constraints of the initial setup. +sudokuValues :: Model (Lit s) -> Nine (Nine Int) -> SAT s () +sudokuValues (M m) v = traverse_ sequenceA $ liftA2 (liftA2 f) m v + where + -- force the corresponding bit. + f :: Nine (Lit s) -> Int -> SAT s () + f (N9 l _ _ _ _ _ _ _ _) 1 = addClause [l] + f (N9 _ l _ _ _ _ _ _ _) 2 = addClause [l] + f (N9 _ _ l _ _ _ _ _ _) 3 = addClause [l] + f (N9 _ _ _ l _ _ _ _ _) 4 = addClause [l] + f (N9 _ _ _ _ l _ _ _ _) 5 = addClause [l] + f (N9 _ _ _ _ _ l _ _ _) 6 = addClause [l] + f (N9 _ _ _ _ _ _ l _ _) 7 = addClause [l] + f (N9 _ _ _ _ _ _ _ l _) 8 = addClause [l] + f (N9 _ _ _ _ _ _ _ _ l) 9 = addClause [l] + + f _ _ = return () diff --git a/exe/puresat.hs b/exe/puresat.hs new file mode 100644 --- /dev/null +++ b/exe/puresat.hs @@ -0,0 +1,56 @@ +module Main (main) where + +import Control.Monad +import System.Environment + +import qualified PureSAT.Main as PureSAT +import PureSAT.Base +import PureSAT.Prim +import qualified PureSAT.DIMACS + +main :: IO () +main = do + args <- getArgs + forM_ args $ \arg -> do + print arg + dimacs <- PureSAT.DIMACS.parseDimacsFile arg + let solution = solvePureSAT dimacs + if null solution + then do + putStrLn "p unsat" + else do + putStrLn "p sat" + putStrLn $ unwords $ map show solution + +solvePureSAT :: [[Int]] -> [Int] +solvePureSAT clauses = runST $ do + s <- PureSAT.newSolver + + -- create literal + literals <- newPrimArray maxLiteral + forM_ [1..maxLiteral] $ \i -> do + l <- PureSAT.newLit s + writePrimArray literals (i - 1) l + + -- addClauses + forM_ clauses $ \clause -> do + clause' <- forM clause $ \i -> do + l <- readPrimArray literals (abs i - 1) + return $ if i < 0 then PureSAT.neg l else l + + PureSAT.addClause s clause' + + -- solve + res <- PureSAT.solve s + + -- read back the solution + if res + then do + forM [1..maxLiteral] $ \i -> do + l <- readPrimArray literals (i - 1) + x <- PureSAT.modelValue s l + return $ if x then i else negate i + + else return [] + where + maxLiteral = foldl' (\acc clause -> foldl' (\x y -> max x (abs y)) acc clause) 0 clauses diff --git a/lib/Control/Monad/SAT.hs b/lib/Control/Monad/SAT.hs new file mode 100644 --- /dev/null +++ b/lib/Control/Monad/SAT.hs @@ -0,0 +1,568 @@ +{-# LANGUAGE DeriveFunctor #-} +{-# LANGUAGE MagicHash #-} +{-# LANGUAGE PatternSynonyms #-} +{-# LANGUAGE RankNTypes #-} +{-# LANGUAGE RoleAnnotations #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE UnboxedTuples #-} +-- | A monadic interface to the SAT (@PureSAT@) solver. +-- +-- The interface is inspired by ST monad. 'SAT' and 'Lit' are indexed by a "state" token, +-- so you cannot mixup literals from different SAT computations. +module Control.Monad.SAT ( + -- * SAT Monad + SAT, + runSATMaybe, + -- * Literals + Lit, + newLit, + boostScore, + -- ** Negation + Neg (..), + -- * Clauses + addClause, + assertAtLeastOne, + assertAtMostOne, + assertAtMostOnePairwise, + assertAtMostOneSequential, + assertEqual, + assertAllEqual, + -- ** Propositional formulas + Prop, + true, false, + lit, (\/), (/\), (<->), (-->), xor, ite, + addDefinition, + addProp, + -- ** Clause definitions + trueLit, + falseLit, + addConjDefinition, + addDisjDefinition, + -- * Solving + solve, + solve_, + -- * Simplification + simplify, + -- * Statistics + numberOfVariables, + numberOfClauses, + numberOfLearnts, + numberOfLearntLiterals, + numberOfConflicts, + numberOfRestarts, +) where + +import Control.Monad (forM_, unless) +import Data.Bits (shiftR, testBit) +import Data.List (tails) +import Data.Map.Strict (Map) +import Data.Set (Set) +import Data.STRef (STRef, newSTRef, readSTRef, writeSTRef) + +import EST + +import qualified Data.Map.Strict as Map +import qualified Data.Set as Set +import qualified PureSAT + +------------------------------------------------------------------------------- +-- SAT Monad +------------------------------------------------------------------------------- + +-- | Satisfiability monad. +newtype SAT s a = SAT { unSAT :: PureSAT.Solver s -> Lit s -> STRef s (Definitions s) -> EST UnsatException s a } + deriving Functor + +-- The SAT monad environment consists of +-- * A solver instance +-- * A literal constraint to be true. +-- * A map of asserted definitions, to dedup these for 'addDefinitions' and 'addProp' calls. +-- (we don't dedup clauses though - it's up to the solver). + +type role SAT nominal representational + +type Definitions s = Map (Set (Lit s)) (Lit s) + +-- | Unsatisfiable exception. +-- +-- It may be thrown by various functions: in particular 'solve' and 'solve_', but also 'addClause', 'simplify'. +-- +-- The reason to use an exception is because after unsatisfiable state is reached the underlying solver instance is unusable. +-- You may use 'runSATMaybe' to catch it. +data UnsatException = UnsatException + deriving (Show) + +throwUnsatException :: EST UnsatException s a +throwUnsatException = earlyExitEST UnsatException + +instance Applicative (SAT s) where + pure x = SAT (\_ _ _ -> pure x) + SAT f <*> SAT x = SAT (\s t r -> f s t r <*> x s t r) + +instance Monad (SAT s) where + m >>= k = SAT $ \s t r -> do + x <- unSAT m s t r + unSAT (k x) s t r + +-- | Run 'SAT' computation. +runSATMaybe :: forall a. (forall s. SAT s a) -> Maybe a +runSATMaybe f = either (const Nothing) Just $ runEST $ do + s <- liftST PureSAT.newSolver + t <- liftST (PureSAT.newLit s) + add_clause s [L t] + r <- liftST (newSTRef Map.empty) + unSAT f s (L t) r + +------------------------------------------------------------------------------- +-- Literals +------------------------------------------------------------------------------- + +-- | Literal. +-- +-- To negate literate use 'neg'. +newtype Lit s = L { unL :: PureSAT.Lit } + deriving (Eq, Ord) + +type role Lit nominal + +instance Show (Lit s) where + showsPrec d (L (PureSAT.MkLit l)) + | p = showParen (d > 6) (showChar '-' . shows v) + | otherwise = shows v + where + i :: Int + i = fromIntegral l + + -- PureSAT encodes polarity of literal in 0th bit. + -- (this way normal order groups same variable literals). + p :: Bool + p = testBit i 0 + + v :: Int + v = shiftR i 1 + +class Neg a where + neg :: a -> a + +-- | Negate literal. +instance Neg (Lit s) where + neg (L l) = L (PureSAT.neg l) + +-- | Create fresh literal. +newLit :: SAT s (Lit s) +newLit = SAT $ \s _t _r -> do + l <- liftST (PureSAT.newLit s) + return (L l) + +-- | Boost score of the literal +boostScore :: Lit s -> SAT s () +boostScore (L l) = SAT $ \s _t _r -> liftST (PureSAT.boostScore s l) + +------------------------------------------------------------------------------- +-- Prop +------------------------------------------------------------------------------- + +-- | Propositional formula. +data Prop s + = PTrue + | PFalse + | P (Prop1 s) + deriving (Eq, Ord) + +infixr 5 \/ +infixr 6 /\ + +instance Show (Prop s) where + showsPrec _ PTrue = showString "true" + showsPrec _ PFalse = showString "false" + showsPrec d (P p) = showsPrec d p + +-- | True 'Prop'. +true :: Prop s +true = PTrue + +-- | False 'Prop'. +false :: Prop s +false = PFalse + +-- | Make 'Prop' from a literal. +lit :: Lit s -> Prop s +lit l = P (P1Lit l) + +-- | Disjunction of propositional formulas, or. +(\/) :: Prop s -> Prop s -> Prop s +x \/ y = neg (neg x /\ neg y) + +-- | Conjunction of propositional formulas, and. +(/\) :: Prop s -> Prop s -> Prop s +PFalse /\ _ = PFalse +_ /\ PFalse = PFalse +PTrue /\ y = y +x /\ PTrue = x +P x /\ P y = P (p1and x y) + +-- | Implication of propositional formulas. +(-->) :: Prop s -> Prop s -> Prop s +x --> y = neg x \/ y + +-- | Equivalence of propositional formulas. +(<->) :: Prop s -> Prop s -> Prop s +x <-> y = (x --> y) /\ (y --> x) + +-- | Exclusive or, not equal of propositional formulas. +xor :: Prop s -> Prop s -> Prop s +xor x y = x <-> neg y + +-- | If-then-else. +-- +-- Semantics of @'ite' c t f@ are @ (c '/\' t) '\/' ('neg' c '/\' f)@. +-- +ite :: Prop s -> Prop s -> Prop s -> Prop s +-- ite c t f = (c /\ t) \/ (neg c /\ f) +ite c t f = (c \/ f) /\ (neg c \/ t) /\ (t \/ f) -- this encoding makes (t == f) case propagate even when c is yet undecided. + +-- | Negation of propositional formulas. +instance Neg (Prop s) where + neg PTrue = PFalse + neg PFalse = PTrue + neg (P p) = P (p1neg p) + +------------------------------------------------------------------------------- +-- Prop1 +------------------------------------------------------------------------------- + +data Prop1 s + = P1Lit !(Lit s) + | P1Nnd !(Set (PropA s)) + | P1And !(Set (PropA s)) + deriving (Eq, Ord) + +data PropA s + = PALit !(Lit s) + | PANnd !(Set (PropA s)) + deriving (Eq, Ord) + +instance Show (Prop1 s) where + showsPrec d (P1Lit l) = showsPrec d l + showsPrec _ (P1And xs) = showNoCommaListWith shows (Set.toList xs) + showsPrec _ (P1Nnd xs) = showChar '-' . showNoCommaListWith shows (Set.toList xs) + +instance Show (PropA s) where + showsPrec d (PALit l) = showsPrec d l + showsPrec _ (PANnd xs) = showChar '-' . showNoCommaListWith shows (Set.toList xs) + +showNoCommaListWith :: (a -> ShowS) -> [a] -> ShowS +showNoCommaListWith _ [] s = "[]" ++ s +showNoCommaListWith showx (x:xs) s = '[' : showx x (showl xs) + where + showl [] = ']' : s + showl (y:ys) = ' ' : showx y (showl ys) + +p1and :: Prop1 s -> Prop1 s -> Prop1 s +p1and p@(P1Lit x) (P1Lit y) + | x == y = p + | otherwise = P1And (double (PALit x) (PALit y)) +p1and p@(P1Nnd x) (P1Nnd y) + | x == y = p + | otherwise = P1And (double (PANnd x) (PANnd y)) +p1and (P1Lit x) (P1Nnd y) = P1And (double (PALit x) (PANnd y)) +p1and (P1Nnd x) (P1Lit y) = P1And (double (PANnd x) (PALit y)) +p1and (P1Lit x) (P1And ys) = P1And (Set.insert (PALit x) ys) +p1and (P1Nnd x) (P1And ys) = P1And (Set.insert (PANnd x) ys) +p1and (P1And xs) (P1Lit y) = P1And (Set.insert (PALit y) xs) +p1and (P1And xs) (P1Nnd y) = P1And (Set.insert (PANnd y) xs) +p1and (P1And xs) (P1And ys) = P1And (Set.union xs ys) + +p1neg :: Prop1 s -> Prop1 s +p1neg (P1Lit l) = P1Lit (neg l) +p1neg (P1Nnd xs) = P1And xs +p1neg (P1And xs) = P1Nnd xs + +double :: Ord a => a -> a -> Set a +double x y = Set.insert x (Set.singleton y) + +------------------------------------------------------------------------------- +-- Clause definitions +------------------------------------------------------------------------------- + +-- | Add conjunction definition. +-- +-- @addConjDefinition x ys@ asserts that @x ↔ ⋀ yᵢ@ +addConjDefinition :: Lit s -> [Lit s] -> SAT s () +addConjDefinition x zs = do + y <- add_definition (Set.fromList zs) + if x == y + then return () + else assertEqual x y + +-- | Add disjunction definition. +-- +-- @addDisjDefinition x ys@ asserts that @x ↔ ⋁ yᵢ@ +-- +addDisjDefinition :: Lit s -> [Lit s] -> SAT s () +addDisjDefinition x ys = addConjDefinition (neg x) (fmap neg ys) +-- Implementation: @(x ↔ ⋁ yᵢ) ↔ (¬x ↔ ⋀ ¬xyᵢ)@ + +------------------------------------------------------------------------------- +-- Methods +------------------------------------------------------------------------------- + +-- | Assert that given 'Prop' is true. +-- +-- This is equivalent to +-- +-- @ +-- addProp p = do +-- l <- addDefinition p +-- addClause l +-- @ +-- +-- but avoid creating the definition, asserting less clauses. +-- +addProp :: Prop s -> SAT s () +addProp PTrue = return () +addProp PFalse = SAT $ \s t _-> add_clause s [neg t] +addProp (P p) = add_prop p + +-- | Add definition of 'Prop'. The resulting literal is equivalent to the argument 'Prop'. +-- +addDefinition :: Prop s -> SAT s (Lit s) +addDefinition PTrue = trueLit +addDefinition PFalse = falseLit +addDefinition (P p) = addDefinition1 p + +-- | True literal. +trueLit :: SAT s (Lit s) +trueLit = SAT $ \_s t _ -> return t + +-- | False literal +falseLit :: SAT s (Lit s) +falseLit = SAT $ \_s t _ -> return (neg t) + +addDefinition1 :: Prop1 s -> SAT s (Lit s) +addDefinition1 = tseitin1 + +-- | Add conjuctive definition. +add_definition :: Set (Lit s) -> SAT s (Lit s) +add_definition ps + | Set.null ps + = trueLit + +add_definition ps = SAT $ \s _ defsRef -> do + defs <- liftST (readSTRef defsRef) + case Map.lookup ps defs of + Just d -> return d + Nothing -> do + d' <- liftST (PureSAT.newLit s) + let d = L d' + + -- putStrLn $ "add_definition " ++ show (Set.toList ps) ++ " = " ++ show d + + -- d ∨ ¬x₁ ∨ ¬x₂ ∨ ... ∨ ¬xₙ + add_clause s (d : map neg (Set.toList ps)) + + -- ¬d ∨ x₁ + -- ¬d ∨ x₂ + -- ... + -- ¬d ∨ xₙ + forM_ ps $ \p -> do + add_clause s [neg d, p] + + -- save the definition. + liftST (writeSTRef defsRef $! Map.insert ps d defs) + + return d + +-- top-level add prop: CNF +add_prop :: Prop1 s -> SAT s () +add_prop (P1Lit l) = addClause [l] +add_prop (P1And xs) = forM_ xs add_prop' +add_prop (P1Nnd xs) = do + ls <- traverse tseitinA (Set.toList xs) + addClause (map neg ls) + +-- first-level: Clauses +add_prop' :: PropA s -> SAT s () +add_prop' (PALit l) = addClause [l] +add_prop' (PANnd xs) = do + ls <- traverse tseitinA (Set.toList xs) + addClause (map neg ls) + +tseitin1 :: Prop1 s -> SAT s (Lit s) +tseitin1 (P1Lit l) = return l +tseitin1 (P1And xs) = do + xs' <- traverse tseitinA (Set.toList xs) + add_definition (Set.fromList xs') +tseitin1 (P1Nnd xs) = do + xs' <- traverse tseitinA (Set.toList xs) + neg <$> add_definition (Set.fromList xs') + +tseitinA :: PropA s -> SAT s (Lit s) +tseitinA (PALit l) = return l +tseitinA (PANnd xs) = do + xs' <- traverse tseitinA (Set.toList xs) + neg <$> add_definition (Set.fromList xs') + +------------------------------------------------------------------------------- +-- Constraints +------------------------------------------------------------------------------- + +-- | Add a clause to the solver. +addClause :: [Lit s] -> SAT s () +addClause ls = SAT $ \s _t _r -> add_clause s ls + +add_clause :: PureSAT.Solver s -> [Lit s] -> EST UnsatException s () +add_clause s ls = do + -- putStrLn $ "add_clause " ++ show ls + ok <- liftST (PureSAT.addClause s (map unL ls)) + unless ok throwUnsatException + +-- | At least one -constraint. +-- +-- Alias to 'addClause'. +assertAtLeastOne :: [Lit s] -> SAT s () +assertAtLeastOne = addClause + +-- | At most one -constraint. +-- +-- Uses 'atMostOnePairwise' for lists of length 2 to 5 +-- and 'atMostOneSequential' for longer lists. +-- +-- The cutoff is chosen by picking encoding with least clauses: +-- For 5 literals, 'atMostOnePairwise' needs 10 clauses and 'assertAtMostOneSequential' needs 11 (and 4 new variables). +-- For 6 literals, 'atMostOnePairwise' needs 15 clauses and 'assertAtMostOneSequential' needs 14. +-- +assertAtMostOne :: [Lit s] -> SAT s () +assertAtMostOne ls = case ls of + [] -> return () + [_] -> return () + [_,_] -> assertAtMostOnePairwise ls + [_,_,_] -> assertAtMostOnePairwise ls + [_,_,_,_] -> assertAtMostOnePairwise ls + [_,_,_,_,_] -> assertAtMostOnePairwise ls + _ -> assertAtMostOneSequential ls + +-- | At most one -constraint using pairwise encoding. +-- +-- \[ +-- \mathrm{AMO}(x_1, \ldots, x_n) = \bigwedge_{1 \le i < j \le n} \neg x_i \lor \neg x_j +-- \] +-- +-- \(n(n-1)/2\) clauses, zero auxiliary variables. +-- +assertAtMostOnePairwise :: [Lit s] -> SAT s () +assertAtMostOnePairwise literals = mapM_ f (tails literals) where + f :: [Lit s] -> SAT s () + f [] = return () + f (l:ls) = mapM_ (g l) ls + + g :: Lit s -> Lit s -> SAT s () + g l1 l2 = addClause [neg l1, neg l2] + +-- | At most one -constraint using sequential counter encoding. +-- +-- \[ +-- \mathrm{AMO}(x_1, \ldots, x_n) = +-- (\neg x_1 \lor s_1) \land +-- (\neg x_n \lor \neg s_{n-1}) \land +-- \bigwedge_{1 < i < n} (\neg x_i \lor a_i) \land (\neg a_{i-1} \lor a_i) \land (\neg x_i \lor \neg a_{i-1}) +-- \] +-- +-- Sinz, C.: Towards an optimal CNF encoding of Boolean cardinality constraints, Proceedings of Principles and Practice of Constraint Programming (CP), 827–831 (2005) +-- +-- \(3n-4\) clauses, \(n-1\) auxiliary variables. +-- +-- We optimize the two literal case immediately ([resolution](https://en.wikipedia.org/wiki/Resolution_(logic)) on \(s_1\). +-- +-- \[ +-- (\neg x_1 \lor s_1) \land (\neg x_2 \lor \neg s_1) \Longrightarrow \neg x_1 \lor \neg x_2 +-- \] +-- +assertAtMostOneSequential :: [Lit s] -> SAT s () +assertAtMostOneSequential [] = return () +assertAtMostOneSequential [_] = return () +assertAtMostOneSequential [x1,x2] = addClause [neg x1, neg x2] +assertAtMostOneSequential (xn:x1:xs) = do + a1 <- newLit + addClause [neg x1, a1] + go a1 xs + where + go an1 [] = addClause [neg xn, neg an1] + go ai1 (xi:xis) = do + ai <- newLit + addClause [neg xi, ai] + addClause [neg ai1, ai] + addClause [neg xi, neg ai1] + go ai xis + +-- | Assert that two literals are equal. +assertEqual :: Lit s -> Lit s -> SAT s () +assertEqual l l' + | l == l' = return () + | otherwise = do + addClause [l, neg l'] + addClause [neg l, l'] + +-- | Assert that all literals in the list are equal. +assertAllEqual :: [Lit s] -> SAT s () +assertAllEqual [] = return () +assertAllEqual (l:ls) = forM_ (Set.fromList ls) $ \l' -> assertEqual l l' + +------------------------------------------------------------------------------- +-- Solving +------------------------------------------------------------------------------- + +-- | Search without returning a model. +solve_ :: SAT s () +solve_ = SAT $ \s _t _r -> do + ok <- liftST (PureSAT.solve s) + unless ok throwUnsatException + +-- | Search and return a model. +solve :: Traversable model => model (Lit s) -> SAT s (model Bool) +solve model = SAT $ \s _t _r -> do + ok <- liftST (PureSAT.solve s) + unless ok throwUnsatException + + traverse (getSym s) model + where + getSym :: PureSAT.Solver s -> Lit s -> EST UnsatException s Bool + getSym s (L l) = liftST (PureSAT.modelValue s l) + +------------------------------------------------------------------------------- +-- Simplification +------------------------------------------------------------------------------- + +-- | Removes already satisfied clauses. +simplify :: SAT s () +simplify = SAT $ \s _t _r -> do + ok <- liftST (PureSAT.simplify s) + unless ok throwUnsatException + +------------------------------------------------------------------------------- +-- Statistics +------------------------------------------------------------------------------- + +-- | The current number of variables. +numberOfVariables :: SAT s Int +numberOfVariables = SAT $ \s _t _r -> liftST $ PureSAT.num_vars s + +-- | The current number of original clauses. +numberOfClauses :: SAT s Int +numberOfClauses = SAT $ \s _t _r -> liftST $ PureSAT.num_clauses s + +-- | The current number of learnt clauses. +numberOfLearnts :: SAT s Int +numberOfLearnts = SAT $ \s _t _r -> liftST $ PureSAT.num_learnts s + +-- | The current number of learnt literals. +numberOfLearntLiterals :: SAT s Int +numberOfLearntLiterals = SAT $ \s _t _r -> liftST $ PureSAT.num_learnt_literals s + +-- | The current number of conflicts. +numberOfConflicts :: SAT s Int +numberOfConflicts = SAT $ \s _t _r -> liftST $ PureSAT.num_conflicts s + +-- | The current number of conflicts. +numberOfRestarts :: SAT s Int +numberOfRestarts = SAT $ \s _t _r -> liftST $ PureSAT.num_restarts s diff --git a/lib/EST.hs b/lib/EST.hs new file mode 100644 --- /dev/null +++ b/lib/EST.hs @@ -0,0 +1,62 @@ +{-# LANGUAGE KindSignatures #-} +{-# LANGUAGE MagicHash #-} +{-# LANGUAGE PatternSynonyms #-} +{-# LANGUAGE PolyKinds #-} +{-# LANGUAGE RankNTypes #-} +{-# LANGUAGE UnboxedTuples #-} +module EST ( + EST, + liftST, + runEST, + earlyExitEST, +) where + +import GHC.Exts (PromptTag#, State#, control0#, newPromptTag#, oneShot, prompt#, runRW#, unsafeCoerce#) +import GHC.ST (ST (..)) + +control0## + :: PromptTag# a + -> (((State# s -> (# State# s, b #)) -> State# s -> (# State# s, a #)) + -> State# s -> (# State# s, a #)) + -> State# s -> (# State# s, b #) +control0## = unsafeCoerce# control0# + +newtype EST e s a = EST_ (forall r. (# PromptTag# (Either e r), State# s #) -> (# State# s, a #)) + +instance Functor (EST e s) where + fmap f (EST g) = EST (\st -> case g st of (# s, a #) -> (# s, f a #)) + +instance Applicative (EST e s) where + pure x = EST (\(# _, s #) -> (# s, x #)) + EST f <*> EST x = EST + (\(# t, s0 #) -> case f (# t, s0 #) of { + (# s1, f' #) -> case x (# t, s1 #) of { + (# s2, x' #) -> (# s2, f' x' #) }}) + +instance Monad (EST e s) where + EST m >>= k = EST + (\(# t, s0 #) -> case m (# t, s0 #) of { + (# s1, x #) -> case k x of { + EST f -> f (# t, s1 #) }}) + +pattern EST :: (forall r. (# PromptTag# (Either e r), State# s #) -> (# State# s, a #)) -> EST e s a +pattern EST f <- EST_ f + where EST f = EST_ (oneShot f) +{-# COMPLETE EST #-} + +liftST :: ST s a -> EST e s a +liftST (ST f) = EST (\ (# _, s #) -> f s) + +earlyExitEST :: e -> EST e s any +earlyExitEST e = EST (\(# tag, s0 #) -> control0## tag (\_k s -> (# s, Left e #)) s0) + +runEST :: forall e a. (forall s. EST e s a) -> Either e a +runEST (EST f) = runRW# + -- create tag + (\s0 -> case newPromptTag# s0 of { + -- prompt + (# s1, tag #) -> case prompt# tag + -- run the `f` inside prompt, + -- and once we get to the end return `Right` value + (\s2 -> case f (# tag, s2 #) of (# s3, a #) -> (# s3, Right a #)) s1 of { + (# _, a #) -> a }}) diff --git a/lib/PureSAT.hs b/lib/PureSAT.hs new file mode 100644 --- /dev/null +++ b/lib/PureSAT.hs @@ -0,0 +1,21 @@ +module PureSAT ( + Solver, + newSolver, + Lit (..), + newLit, + boostScore, + neg, + addClause, + solve, + simplify, + modelValue, + -- * Statistics + num_vars, + num_clauses, + num_learnts, + num_learnt_literals, + num_conflicts, + num_restarts, +) where + +import PureSAT.Main diff --git a/puresat.cabal b/puresat.cabal new file mode 100644 --- /dev/null +++ b/puresat.cabal @@ -0,0 +1,395 @@ +cabal-version: 3.4 +name: puresat +version: 0.1 +synopsis: Pure Haskell SAT-solver +category: Data +description: + SAT Solver implemented in Haskell. + + PureSAT uses DPLL with non-chronological backtracking and learning of binaary clauses. + Solver is in no-comparison to the state of the art solvers, but it's fast enough to solve sudoku. + +homepage: https://github.com/phadej/puresat +license: BSD-3-Clause +license-file: LICENSE +author: Oleg Grenrus +maintainer: Oleg Grenrus +copyright: (c) 2024 Oleg Grenrus +build-type: Simple +tested-with: GHC ==9.6.6 || ==9.8.2 || ==9.10.1 +extra-doc-files: CHANGELOG.md + +-- cabal-fmt: glob-files dimacs/**/*.cnf +extra-source-files: + dimacs/aim/aim-100-1_6-no-1.cnf + dimacs/aim/aim-100-1_6-no-2.cnf + dimacs/aim/aim-100-1_6-no-3.cnf + dimacs/aim/aim-100-1_6-no-4.cnf + dimacs/aim/aim-100-1_6-yes1-1.cnf + dimacs/aim/aim-100-1_6-yes1-2.cnf + dimacs/aim/aim-100-1_6-yes1-3.cnf + dimacs/aim/aim-100-1_6-yes1-4.cnf + dimacs/aim/aim-100-2_0-no-1.cnf + dimacs/aim/aim-100-2_0-no-2.cnf + dimacs/aim/aim-100-2_0-no-3.cnf + dimacs/aim/aim-100-2_0-no-4.cnf + dimacs/aim/aim-100-2_0-yes1-1.cnf + dimacs/aim/aim-100-2_0-yes1-2.cnf + dimacs/aim/aim-100-2_0-yes1-3.cnf + dimacs/aim/aim-100-2_0-yes1-4.cnf + dimacs/aim/aim-100-3_4-yes1-1.cnf + dimacs/aim/aim-100-3_4-yes1-2.cnf + dimacs/aim/aim-100-3_4-yes1-3.cnf + dimacs/aim/aim-100-3_4-yes1-4.cnf + dimacs/aim/aim-100-6_0-yes1-1.cnf + dimacs/aim/aim-100-6_0-yes1-2.cnf + dimacs/aim/aim-100-6_0-yes1-3.cnf + dimacs/aim/aim-100-6_0-yes1-4.cnf + dimacs/aim/aim-200-1_6-no-1.cnf + dimacs/aim/aim-200-1_6-no-2.cnf + dimacs/aim/aim-200-1_6-no-3.cnf + dimacs/aim/aim-200-1_6-no-4.cnf + dimacs/aim/aim-200-1_6-yes1-1.cnf + dimacs/aim/aim-200-1_6-yes1-2.cnf + dimacs/aim/aim-200-1_6-yes1-3.cnf + dimacs/aim/aim-200-1_6-yes1-4.cnf + dimacs/aim/aim-200-2_0-no-1.cnf + dimacs/aim/aim-200-2_0-no-2.cnf + dimacs/aim/aim-200-2_0-no-3.cnf + dimacs/aim/aim-200-2_0-no-4.cnf + dimacs/aim/aim-200-2_0-yes1-1.cnf + dimacs/aim/aim-200-2_0-yes1-2.cnf + dimacs/aim/aim-200-2_0-yes1-3.cnf + dimacs/aim/aim-200-2_0-yes1-4.cnf + dimacs/aim/aim-200-3_4-yes1-1.cnf + dimacs/aim/aim-200-3_4-yes1-2.cnf + dimacs/aim/aim-200-3_4-yes1-3.cnf + dimacs/aim/aim-200-3_4-yes1-4.cnf + dimacs/aim/aim-200-6_0-yes1-1.cnf + dimacs/aim/aim-200-6_0-yes1-2.cnf + dimacs/aim/aim-200-6_0-yes1-3.cnf + dimacs/aim/aim-200-6_0-yes1-4.cnf + dimacs/aim/aim-50-1_6-no-1.cnf + dimacs/aim/aim-50-1_6-no-2.cnf + dimacs/aim/aim-50-1_6-no-3.cnf + dimacs/aim/aim-50-1_6-no-4.cnf + dimacs/aim/aim-50-1_6-yes1-1.cnf + dimacs/aim/aim-50-1_6-yes1-2.cnf + dimacs/aim/aim-50-1_6-yes1-3.cnf + dimacs/aim/aim-50-1_6-yes1-4.cnf + dimacs/aim/aim-50-2_0-no-1.cnf + dimacs/aim/aim-50-2_0-no-2.cnf + dimacs/aim/aim-50-2_0-no-3.cnf + dimacs/aim/aim-50-2_0-no-4.cnf + dimacs/aim/aim-50-2_0-yes1-1.cnf + dimacs/aim/aim-50-2_0-yes1-2.cnf + dimacs/aim/aim-50-2_0-yes1-3.cnf + dimacs/aim/aim-50-2_0-yes1-4.cnf + dimacs/aim/aim-50-3_4-yes1-1.cnf + dimacs/aim/aim-50-3_4-yes1-2.cnf + dimacs/aim/aim-50-3_4-yes1-3.cnf + dimacs/aim/aim-50-3_4-yes1-4.cnf + dimacs/aim/aim-50-6_0-yes1-1.cnf + 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dimacs/dubois/dubois50.cnf + dimacs/hanoi/hanoi4.cnf + dimacs/hanoi/hanoi5.cnf + dimacs/inductive-inference/ii16a1.cnf + dimacs/inductive-inference/ii16a2.cnf + dimacs/inductive-inference/ii16b1.cnf + dimacs/inductive-inference/ii16b2.cnf + dimacs/inductive-inference/ii16c1.cnf + dimacs/inductive-inference/ii16c2.cnf + dimacs/inductive-inference/ii16d1.cnf + dimacs/inductive-inference/ii16d2.cnf + dimacs/inductive-inference/ii16e1.cnf + dimacs/inductive-inference/ii16e2.cnf + dimacs/inductive-inference/ii8a1.cnf + dimacs/inductive-inference/ii8a2.cnf + dimacs/inductive-inference/ii8a3.cnf + dimacs/inductive-inference/ii8a4.cnf + dimacs/inductive-inference/ii8b1.cnf + dimacs/inductive-inference/ii8b2.cnf + dimacs/inductive-inference/ii8b3.cnf + dimacs/inductive-inference/ii8b4.cnf + dimacs/inductive-inference/ii8c1.cnf + dimacs/inductive-inference/ii8c2.cnf + dimacs/inductive-inference/ii8d1.cnf + dimacs/inductive-inference/ii8d2.cnf + dimacs/inductive-inference/ii8e1.cnf + dimacs/inductive-inference/ii8e2.cnf + dimacs/jnh/jnh1.cnf + dimacs/jnh/jnh10.cnf + dimacs/jnh/jnh11.cnf + dimacs/jnh/jnh12.cnf + dimacs/jnh/jnh13.cnf + dimacs/jnh/jnh14.cnf + dimacs/jnh/jnh15.cnf + dimacs/jnh/jnh16.cnf + dimacs/jnh/jnh17.cnf + dimacs/jnh/jnh18.cnf + dimacs/jnh/jnh19.cnf + dimacs/jnh/jnh2.cnf + dimacs/jnh/jnh20.cnf + dimacs/jnh/jnh201.cnf + dimacs/jnh/jnh202.cnf + dimacs/jnh/jnh203.cnf + dimacs/jnh/jnh204.cnf + dimacs/jnh/jnh205.cnf + dimacs/jnh/jnh206.cnf + dimacs/jnh/jnh207.cnf + dimacs/jnh/jnh208.cnf + dimacs/jnh/jnh209.cnf + dimacs/jnh/jnh210.cnf + dimacs/jnh/jnh211.cnf + dimacs/jnh/jnh212.cnf + dimacs/jnh/jnh213.cnf + dimacs/jnh/jnh214.cnf + dimacs/jnh/jnh215.cnf + dimacs/jnh/jnh216.cnf + dimacs/jnh/jnh217.cnf + dimacs/jnh/jnh218.cnf + dimacs/jnh/jnh219.cnf + dimacs/jnh/jnh220.cnf + dimacs/jnh/jnh3.cnf + dimacs/jnh/jnh301.cnf + dimacs/jnh/jnh302.cnf + dimacs/jnh/jnh303.cnf + dimacs/jnh/jnh304.cnf + dimacs/jnh/jnh305.cnf + dimacs/jnh/jnh306.cnf + dimacs/jnh/jnh307.cnf + dimacs/jnh/jnh308.cnf + dimacs/jnh/jnh309.cnf + dimacs/jnh/jnh310.cnf + dimacs/jnh/jnh4.cnf + dimacs/jnh/jnh5.cnf + dimacs/jnh/jnh6.cnf + dimacs/jnh/jnh7.cnf + dimacs/jnh/jnh8.cnf + dimacs/jnh/jnh9.cnf + dimacs/logistics/logistics.a.cnf + dimacs/logistics/logistics.b.cnf + dimacs/logistics/logistics.c.cnf + dimacs/logistics/logistics.d.cnf + dimacs/parity/par16-1-c.cnf + dimacs/parity/par16-1.cnf + dimacs/parity/par16-2-c.cnf + dimacs/parity/par16-2.cnf + dimacs/parity/par16-3-c.cnf + dimacs/parity/par16-3.cnf + dimacs/parity/par16-4-c.cnf + dimacs/parity/par16-4.cnf + dimacs/parity/par16-5-c.cnf + dimacs/parity/par16-5.cnf + dimacs/parity/par8-1-c.cnf + dimacs/parity/par8-1.cnf + dimacs/parity/par8-2-c.cnf + dimacs/parity/par8-2.cnf + dimacs/parity/par8-3-c.cnf + dimacs/parity/par8-3.cnf + dimacs/parity/par8-4-c.cnf + dimacs/parity/par8-4.cnf + dimacs/parity/par8-5-c.cnf + dimacs/parity/par8-5.cnf + dimacs/phole/hole10.cnf + dimacs/phole/hole4.cnf + dimacs/phole/hole6.cnf + dimacs/phole/hole7.cnf + dimacs/phole/hole8.cnf + dimacs/phole/hole9.cnf + dimacs/pret/pret150_25.cnf + dimacs/pret/pret150_40.cnf + dimacs/pret/pret150_60.cnf + dimacs/pret/pret150_75.cnf + dimacs/pret/pret60_25.cnf + dimacs/pret/pret60_40.cnf + dimacs/pret/pret60_60.cnf + dimacs/pret/pret60_75.cnf + dimacs/QG/qg1-07.cnf + dimacs/QG/qg1-08.cnf + dimacs/QG/qg2-07.cnf + dimacs/QG/qg2-08.cnf + dimacs/QG/qg3-08.cnf + dimacs/QG/qg4-08.cnf + dimacs/ssa/ssa0432-003.cnf + dimacs/ssa/ssa2670-130.cnf + dimacs/ssa/ssa2670-141.cnf + dimacs/ssa/ssa6288-047.cnf + dimacs/ssa/ssa7552-038.cnf + dimacs/ssa/ssa7552-158.cnf + dimacs/ssa/ssa7552-159.cnf + dimacs/ssa/ssa7552-160.cnf + +source-repository head + type: git + location: https://github.com/phadej/puresat + +flag exe + description: Build executable + default: False + manual: True + +common language + default-language: Haskell2010 + default-extensions: + BangPatterns + DeriveTraversable + DerivingStrategies + GADTs + PatternSynonyms + RankNTypes + RoleAnnotations + ScopedTypeVariables + StandaloneDeriving + StandaloneKindSignatures + TypeApplications + +library + import: language + hs-source-dirs: lib + exposed-modules: + Control.Monad.SAT + PureSAT + + other-modules: EST + build-depends: + , base + , containers + , puresat:internal + +library internal + import: language + hs-source-dirs: src + exposed-modules: + PureSAT.Assert + PureSAT.Base + PureSAT.Boost + PureSAT.Clause2 + PureSAT.LBool + PureSAT.LCG + PureSAT.Level + PureSAT.LitSet + PureSAT.LitTable + PureSAT.LitVar + PureSAT.Main + PureSAT.PartialAssignment + PureSAT.Prim + PureSAT.Satisfied + PureSAT.SparseMaxHeap + PureSAT.SparseSet + PureSAT.Stats + PureSAT.Trail + PureSAT.Utils + PureSAT.VarSet + PureSAT.Vec + + build-depends: + , base >=4.18.2.1 && <4.21 + , containers >=0.6.7 && <0.8 + , primitive ^>=0.9.0.0 + +library dimacs + import: language + hs-source-dirs: src-dimacs + build-depends: + , base + , bytestring ^>=0.11.5.3 || ^>=0.12.1.0 + , parsec ^>=3.1.16.1 + , puresat:internal + + exposed-modules: PureSAT.DIMACS + +executable puresat + import: language + + if !flag(exe) + buildable: False + + hs-source-dirs: exe + main-is: puresat.hs + build-depends: + , base + , optparse-applicative ^>=0.18.1.0 + , puresat:dimacs + , puresat:internal + +test-suite puresat-test + import: language + type: exitcode-stdio-1.0 + hs-source-dirs: test + main-is: puresat-test.hs + build-depends: + , base + , puresat + , QuickCheck ^>=2.15.0.1 + , tasty ^>=1.5 + , tasty-quickcheck ^>=0.11 + +test-suite puresat-small + import: language + type: exitcode-stdio-1.0 + hs-source-dirs: test + main-is: puresat-small.hs + build-depends: + , base + , primitive + , puresat + +test-suite puresat-dimacs + import: language + type: exitcode-stdio-1.0 + hs-source-dirs: test + main-is: puresat-dimacs.hs + build-depends: + , base + , filepath + , minisat + , primitive + , puresat:dimacs + , puresat:internal + , tasty ^>=1.5 + , tasty-hunit + +test-suite sat-simple-sudoku + import: language + type: exitcode-stdio-1.0 + hs-source-dirs: examples + ghc-options: -rtsopts + main-is: sat-simple-sudoku.hs + build-depends: + , base + , puresat diff --git a/src-dimacs/PureSAT/DIMACS.hs b/src-dimacs/PureSAT/DIMACS.hs new file mode 100644 --- /dev/null +++ b/src-dimacs/PureSAT/DIMACS.hs @@ -0,0 +1,157 @@ +-- | Parser for DIMACS CNF format +-- +-- explained in e.g. https://jix.github.io/varisat/manual/0.2.0/formats/dimacs.html and +-- https://users.aalto.fi/~tjunttil/2021-DP-AUT/notes-sat/solving.html#the-dimacs-cnf-file-format +-- +{-# LANGUAGE CPP #-} +module PureSAT.DIMACS ( + parseDimacsFile, + parseDimacs, + demo, +) where + +import Control.Applicative ((<|>)) +import Data.Foldable (foldl') +import Data.Maybe (catMaybes) + +#if MIN_VERSION_parsec(3,1,17) +import Control.Exception (throwIO) +#endif + +import qualified Text.Parsec as P +import qualified Text.Parsec.ByteString as P +import qualified Data.ByteString as BS + +import Control.Monad (forM_, forM) +import Control.Monad.ST (runST) +import qualified PureSAT.Main as PureSAT +import PureSAT.Prim + +demo :: [[Int]] -> [Int] +demo clauses = runST $ do + s <- PureSAT.newSolver + + -- create literal + literals <- newPrimArray maxLiteral + forM_ [1..maxLiteral] $ \i -> do + l <- PureSAT.newLit s + writePrimArray literals (i - 1) l + + -- addClauses + forM_ clauses $ \clause -> do + clause' <- forM clause $ \i -> do + l <- readPrimArray literals (abs i - 1) + return $ if i < 0 then PureSAT.neg l else l + + PureSAT.addClause s clause' + + -- solve + res <- PureSAT.solve s + + -- read back the solution + if res + then do + forM [1..maxLiteral] $ \i -> do + l <- readPrimArray literals (i - 1) + x <- PureSAT.modelValue s l + return $ if x then i else negate i + + else return [] + where + maxLiteral = foldl' (\acc clause -> foldl' (\x y -> max x (abs y)) acc clause) 0 clauses + +-- | Parse DIMACS file +-- +-- with parsec >= 3.1.17 the 'P.ParseError' is thrown on parse failure , otherwise @UserError@. +parseDimacsFile :: FilePath -> IO [[Int]] +parseDimacsFile fn = do + contents <- BS.readFile fn + +#if MIN_VERSION_parsec(3,1,17) + either throwIO return $ +#else + either (fail . show) return $ +#endif + parseDimacs fn contents + +parseDimacs :: FilePath -> BS.ByteString -> Either P.ParseError [[Int]] +parseDimacs fn contents = P.parse (skipSpace *> dimacs <* P.eof) fn contents + +dimacs :: P.Parser [[Int]] +dimacs = do + es <- P.many entry + return (catMaybes es) + +entry :: P.Parser (Maybe [Int]) +entry = do + c <- P.anyChar + case c of + 'p' -> Nothing <$ skipLine -- we omit header + 'c' -> Nothing <$ skipLine + '-' -> Just <$> negativeClause + _ | '0' <= c && c <= '9' + -> Just <$> positiveClause c + _ -> fail $ "unexpecter character: " ++ show c + +skipLine :: P.Parser () +skipLine = aux <|> P.eof + where + aux = do + c <- P.anyChar + if c == '\n' + then skipSpace + else skipLine + +skipSpace :: P.Parser () +skipSpace = P.skipMany $ P.satisfy (\c -> c == ' ' || c == '\n' || c == '\r' || c == '\t') + +negativeClause :: P.Parser [Int] +negativeClause = do + l <- variable + if l == 0 + then return [] + else go (negate l :) + where + go :: ([Int] -> [Int]) -> P.Parser [Int] + go !acc = do + l <- literal + if l == 0 + then return (acc []) + else go (acc . (l :)) + +positiveClause :: Char -> P.Parser [Int] +positiveClause d = do + l <- variable' d + if l == 0 + then return [] + else go (l :) + where + go :: ([Int] -> [Int]) -> P.Parser [Int] + go !acc = do + l <- literal + if l == 0 + then return (acc []) + else go (acc . (l :)) + +literal :: P.Parser Int +literal = do + c <- P.anyChar + case c of + '-' -> negate <$> literal + _ | '0' <= c && c <= '9' + -> variable' c + _ -> fail $ "unexpecter character: " ++ show c + +variable :: P.Parser Int +variable = do + d <- P.satisfy (\x -> '0' <= x && x <= '9') + variable' d + +variable' :: Char -> P.Parser Int +variable' d = do + ds <- P.many $ P.satisfy (\x -> '0' <= x && x <= '9') + skipSpace + return $ foldl' (\acc x -> acc * 10 + toInt x) 0 (d:ds) + where + toInt :: Char -> Int + toInt x = fromEnum x - fromEnum '0' diff --git a/src/PureSAT/Assert.hs b/src/PureSAT/Assert.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Assert.hs @@ -0,0 +1,26 @@ +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE KindSignatures #-} +{-# LANGUAGE MagicHash #-} +{-# LANGUAGE PolyKinds #-} +{-# LANGUAGE UnboxedTuples #-} +module PureSAT.Assert ( + assertST, + -- * Utilities + throwST, + raiseST#, +) where + +import Control.Exception (AssertionFailed (..), Exception (..)) +import GHC.Exts (State#, raiseIO#, unsafeCoerce#) +import GHC.ST (ST (..)) +import GHC.Stack (HasCallStack, callStack, prettyCallStack) + +assertST :: HasCallStack => String -> Bool -> ST s () +assertST _ True = return () +assertST msg False = throwST (AssertionFailed ("Assertion failed\n" ++ show msg ++ "\n" ++ prettyCallStack callStack)) + +raiseST# :: a -> State# s -> (# State# s, b #) +raiseST# = unsafeCoerce# raiseIO# + +throwST :: Exception e => e -> ST s a +throwST e = ST (raiseST# (toException e)) diff --git a/src/PureSAT/Base.hs b/src/PureSAT/Base.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Base.hs @@ -0,0 +1,14 @@ +module PureSAT.Base ( + module X, +) where + +import Control.Monad as X (forM_, unless, when) +import Control.Monad.ST as X (ST, runST) +import Data.Bits as X (testBit, unsafeShiftR) +import Data.Coerce as X (coerce) +import Data.Foldable as X (foldl') +import Data.Word as X (Word8) + +import Debug.Trace as X (traceM) +import GHC.Stack as X (HasCallStack) +import PureSAT.Assert as X diff --git a/src/PureSAT/Boost.hs b/src/PureSAT/Boost.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Boost.hs @@ -0,0 +1,45 @@ +module PureSAT.Boost where + +import Data.Bits (unsafeShiftR) + +-- | Boost weight +-- +-- >>> boost 0 +-- 64 +-- +-- >>> boost 3 +-- 67 +-- +-- >>> boost maxBound +-- 18446744073709551615 +-- +-- >>> boost (maxBound - 63) +-- 18446744073709551615 +-- +-- >>> boost (maxBound - 64) +-- 18446744073709551615 +-- +boost :: Word -> Word +boost !n = + let !m = n + 64 + in if m < n then maxBound else m +{-# INLINE [1] boost #-} + +-- | Decay weight +-- +-- >>> decay 0 +-- 0 +-- +-- >>> decay 1 +-- 0 +-- +-- >>> decay 40 +-- 39 +-- +-- >>> decay 10000 +-- 9844 +-- +decay :: Word -> Word +decay 0 = 0 +decay n = n - max 1 (unsafeShiftR n 6) +{-# INLINE [1] decay #-} diff --git a/src/PureSAT/Clause2.hs b/src/PureSAT/Clause2.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Clause2.hs @@ -0,0 +1,37 @@ +module PureSAT.Clause2 where + +import PureSAT.Base +import PureSAT.LitVar +import PureSAT.Prim + +data Clause2 = MkClause2 !Bool {-# UNPACK #-} !Lit {-# UNPACK #-} !Lit {-# UNPACK #-} !(PrimArray Lit) + +instance Show Clause2 where + showsPrec d (MkClause2 flags l1 l2 ls) = showParen (d > 11) $ showString "cl " . shows flags . shows (l1 : l2 : primArrayToList ls) + +litInClause :: Lit -> Clause2 -> Bool +litInClause l (MkClause2 _ l1 l2 ls) = + l == l1 || l == l2 || foldrPrimArray (\l' next -> l' == l || next) False ls + +isBinaryClause2 :: Clause2 -> Bool +isBinaryClause2 (MkClause2 _ _ _ ls) = sizeofPrimArray ls == 0 + +forLitInClause2_ :: Clause2 -> (Lit -> ST s ()) -> ST s () +forLitInClause2_ (MkClause2 _ l1 l2 ls) f = do + f l1 + f l2 + -- manually inlines traversePrimArray_ + forLitInClause2Go 0 + where + !sz = sizeofPrimArray ls + forLitInClause2Go !i = when (i < sz) $ f (indexPrimArray ls i) >> forLitInClause2Go (i + 1) +{-# INLINE forLitInClause2_ #-} + +nullClause :: Clause2 +nullClause = MkClause2 False (MkLit 1) (MkLit 1) emptyPrimArray + +isNullClause :: Clause2 -> Bool +isNullClause (MkClause2 _ l1 l2 _) = l1 == l2 + +sizeofClause2 :: Clause2 -> Int +sizeofClause2 (MkClause2 _ _ _ ls) = sizeofPrimArray ls + 2 diff --git a/src/PureSAT/LBool.hs b/src/PureSAT/LBool.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/LBool.hs @@ -0,0 +1,10 @@ +module PureSAT.LBool ( + LBool (..), +) where + +------------------------------------------------------------------------------- +-- LBool +------------------------------------------------------------------------------- + +data LBool = LFalse | LTrue | LUndef + deriving (Eq, Ord, Show) diff --git a/src/PureSAT/LCG.hs b/src/PureSAT/LCG.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/LCG.hs @@ -0,0 +1,29 @@ +module PureSAT.LCG ( + LCG, + newLCG, + nextLCG, +) where + +import Control.Monad.ST (ST) +import Data.Primitive.PrimVar +import Data.Word (Word64) + +-- $setup +-- >>> import Control.Monad.ST (runST) + +-- | Park-Miller LCG +-- +-- >>> runST $ do { lcg <- newLCG 42; traverse (\_ -> nextLCG lcg) [1..10] } +-- [2027382,1226992407,551494037,961371815,1404753842,2076553157,1350734175,1538354858,90320905,488601845] +-- +newtype LCG s = LCG (PrimVar s Word64) + +newLCG :: Word64 -> ST s (LCG s) +newLCG seed = LCG <$> newPrimVar (max 1 (min 0x7fffffe seed)) + +nextLCG :: LCG s -> ST s Word64 +nextLCG (LCG state) = do + s <- readPrimVar state + let !s' = mod (s * 48271) 0x7fffffff + writePrimVar state s' + return s' diff --git a/src/PureSAT/Level.hs b/src/PureSAT/Level.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Level.hs @@ -0,0 +1,56 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +module PureSAT.Level where + +import PureSAT.Base +import PureSAT.LitVar +import PureSAT.Prim +import PureSAT.Utils + +newtype Level = Level Int + deriving stock (Eq, Ord, Show) + deriving newtype (Prim) + +instance Enum Level where + fromEnum = coerce + toEnum = coerce + + succ (Level l) = Level (l + 1) + pred (Level l) = Level (l - 1) + +zeroLevel :: Level +zeroLevel = Level 0 + +isZeroLevel :: Level -> Bool +isZeroLevel (Level n) = n == 0 + +newtype Levels s = Levels (MutablePrimArray s Level) + +getLevel :: Levels s -> Lit -> ST s Level +getLevel (Levels level) (MkLit l) = + readPrimArray level (lit_to_var l) + +setLevel :: Levels s -> Lit -> Level -> ST s () +setLevel (Levels levels) (MkLit l) d = do + writePrimArray levels (lit_to_var l) d + +clearLevels :: Levels s -> ST s () +clearLevels (Levels levels) = do + size <- getSizeofMutablePrimArray levels + setPrimArray levels 0 size zeroLevel + +newLevels :: Int -> ST s (Levels s) +newLevels size = do + levels <- newPrimArray size + setPrimArray levels 0 size zeroLevel + return (Levels levels) + +extendLevels :: Levels s -> Int -> ST s (Levels s) +extendLevels levels@(Levels old) newCapacity = do + oldCapacity <- getSizeofMutablePrimArray old + let capacity = nextPowerOf2 (max oldCapacity newCapacity) + if capacity <= oldCapacity + then return levels + else do + new <- newPrimArray capacity + setPrimArray new 0 capacity zeroLevel + return (Levels new) diff --git a/src/PureSAT/LitSet.hs b/src/PureSAT/LitSet.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/LitSet.hs @@ -0,0 +1,64 @@ +{-# LANGUAGE CPP #-} +{-# LANGUAGE RecordWildCards #-} +module PureSAT.LitSet where + +#define ASSERTING(x) + +import Data.Primitive.PrimVar (readPrimVar) + +import PureSAT.Base +import PureSAT.Clause2 +import PureSAT.LitVar +import PureSAT.Prim +import PureSAT.SparseSet + +------------------------------------------------------------------------------- +-- LitSet +------------------------------------------------------------------------------- + +newtype LitSet s = LS (SparseSet s) + +indexLitSet :: forall s. LitSet s -> Int -> ST s Lit +indexLitSet (LS xs) i = coerce (indexSparseSet @s xs i) + +newLitSet :: Int -> ST s (LitSet s) +newLitSet n = LS <$> newSparseSet n + +insertLitSet :: Lit -> LitSet s -> ST s () +insertLitSet (MkLit l) (LS ls) = insertSparseSet ls l + +deleteLitSet :: Lit -> LitSet s -> ST s () +deleteLitSet (MkLit l) (LS ls) = deleteSparseSet ls l + +{-# INLINE minViewLitSet #-} +minViewLitSet :: LitSet s -> ST s r -> (Lit -> ST s r) -> ST s r +minViewLitSet (LS xs) no yes = popSparseSet_ xs no (coerce yes) + +clearLitSet :: LitSet s -> ST s () +clearLitSet (LS xs) = clearSparseSet xs + +elemsLitSet :: LitSet s -> ST s [Lit] +elemsLitSet (LS s) = coerce (elemsSparseSet s) + +memberLitSet :: LitSet s -> Lit -> ST s Bool +memberLitSet (LS xs) (MkLit x) = memberSparseSet xs x + +sizeofLitSet :: LitSet s -> ST s Int +sizeofLitSet (LS xs) = sizeofSparseSet xs + +unsingletonLitSet :: LitSet s -> ST s Lit +unsingletonLitSet (LS SS {..}) = do + -- ASSERTING(n <- readPrimVar size) + ASSERTING(assertST "size == 1" (n == 1)) + x <- readPrimArray dense 0 + return (MkLit x) + +litSetToClause :: LitSet s -> ST s Clause2 +litSetToClause (LS SS {..}) = do + n <- readPrimVar size + ASSERTING(assertST "size >= 2" (n >= 2)) + l1 <- readPrimArray dense 0 + l2 <- readPrimArray dense 1 + ls <- freezePrimArray dense 2 (n - 2) + -- TODO: learned clauses only + return $! MkClause2 True (coerce l1) (coerce l2) (coercePrimArrayLit ls) diff --git a/src/PureSAT/LitTable.hs b/src/PureSAT/LitTable.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/LitTable.hs @@ -0,0 +1,29 @@ +module PureSAT.LitTable where + +import PureSAT.Base +import PureSAT.LitVar +import PureSAT.Prim + +------------------------------------------------------------------------------- +-- LitTable +------------------------------------------------------------------------------- + +newtype LitTable s a = LitT (MutableArray s a) + +newLitTable :: Int -> a -> ST s (LitTable s a) +newLitTable !size x = do + xs <- newArray size x + return (LitT xs) + +sizeofLitTable :: LitTable s a -> ST s Int +sizeofLitTable (LitT arr) = return (sizeofMutableArray arr) + +readLitTable :: LitTable s a -> Lit -> ST s a +readLitTable (LitT xs) (MkLit l) = do + assertST "readLitTable" $ l < sizeofMutableArray xs + readArray xs l + +writeLitTable :: LitTable s a -> Lit -> a -> ST s () +writeLitTable (LitT xs) (MkLit l) x = do + assertST "readLitTable" $ l < sizeofMutableArray xs + writeArray xs l x diff --git a/src/PureSAT/LitVar.hs b/src/PureSAT/LitVar.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/LitVar.hs @@ -0,0 +1,50 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +module PureSAT.LitVar where + +import Data.Bits (complementBit, testBit, unsafeShiftL, unsafeShiftR) + +import PureSAT.Prim + +------------------------------------------------------------------------------- +-- Literals +------------------------------------------------------------------------------- + +-- | Literals +newtype Lit = MkLit Int + deriving (Eq, Ord) + +instance Show Lit where + showsPrec d (MkLit l) + | testBit l 0 = showParen (d > 10) $ showChar '-' . shows (lit_to_var l) + | otherwise = shows (lit_to_var l) + +deriving newtype instance Prim Lit + +-- | Negate literal +neg :: Lit -> Lit +neg (MkLit l) = MkLit (complementBit l 0) + +-- unLit :: Lit -> Int +-- unLit (MkLit l) = l + +coercePrimArrayLit :: PrimArray Int -> PrimArray Lit +coercePrimArrayLit (PrimArray ba) = PrimArray ba + +------------------------------------------------------------------------------- +-- Variables +------------------------------------------------------------------------------- + +newtype Var = MkVar Int + deriving (Eq, Ord, Show) + +litToVar :: Lit -> Var +litToVar (MkLit l) = MkVar (lit_to_var l) + +lit_to_var :: Int -> Int +lit_to_var l = unsafeShiftR l 1 + +varToLit :: Var -> Lit +varToLit (MkVar x) = MkLit (var_to_lit x) + +var_to_lit :: Int -> Int +var_to_lit l = unsafeShiftL l 1 diff --git a/src/PureSAT/Main.hs b/src/PureSAT/Main.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Main.hs @@ -0,0 +1,958 @@ +{-# LANGUAGE CPP #-} +{-# LANGUAGE LambdaCase #-} +{-# LANGUAGE MagicHash #-} +{-# LANGUAGE NoFieldSelectors #-} +{-# LANGUAGE DuplicateRecordFields #-} +{-# LANGUAGE RecordWildCards #-} +-- {-# OPTIONS_GHC -ddump-simpl -ddump-to-file -dsuppress-all #-} +module PureSAT.Main ( + Solver, + newSolver, + Lit (..), + newLit, + boostScore, + neg, + addClause, + solve, + simplify, + modelValue, + -- * Statistics + num_vars, + num_clauses, + num_learnts, + num_learnt_literals, + num_conflicts, + num_restarts, +) where + +-- #define ENABLE_ASSERTS +-- #define ENABLE_TRACE + +#define TWO_WATCHED_LITERALS + +import Data.Functor ((<&>)) +import Data.List (nub) +import Data.STRef (STRef, newSTRef, readSTRef, writeSTRef) + +import Data.Primitive.PrimVar (PrimVar, readPrimVar, writePrimVar, newPrimVar, modifyPrimVar) + +import PureSAT.Base +import PureSAT.Boost +import PureSAT.Clause2 +import PureSAT.LBool +import PureSAT.Prim +import PureSAT.Level +import PureSAT.LitSet +import PureSAT.LitTable +import PureSAT.LitVar +import PureSAT.PartialAssignment +import PureSAT.Satisfied +import PureSAT.Stats +import PureSAT.Trail +import PureSAT.VarSet +import PureSAT.Utils +import PureSAT.LCG +import PureSAT.SparseSet + +#ifdef TWO_WATCHED_LITERALS +import PureSAT.Vec +#endif + +#ifdef ENABLE_TRACE +#define TRACING(x) x +#else +#define TRACING(x) +#endif + +#ifdef ENABLE_ASSERTS +#define ASSERTING(x) x +#define ASSERTING_BIND(x,y) x <- y +#else +#define ASSERTING(x) +#define ASSERTING_BIND(x,y) +#endif + +------------------------------------------------------------------------------- +-- ClauseDB +------------------------------------------------------------------------------- + +#ifdef TWO_WATCHED_LITERALS + +newtype ClauseDB s = CDB (LitTable s (Vec s Watch)) + +data Watch = W !Lit !Clause2 + +newClauseDB :: Int -> ST s (ClauseDB s) +newClauseDB !size' = do + let size = max size' 40960 + arr <- newLitTable size undefined + + forM_ [0 .. size - 1] $ \i -> do + vec <- newVec 16 + writeLitTable arr (MkLit i) vec + + return (CDB arr) + +extendClauseDB :: ClauseDB s -> Int -> ST s (ClauseDB s) +extendClauseDB cdb@(CDB old) newSize' = do + -- TODO: this code is terrible. + oldSize <- sizeofLitTable old + let newSize = max newSize' 4096 + if newSize <= oldSize + then return cdb + else do + traceM $ "resize" ++ show newSize + new <- newLitTable newSize undefined + + forM_ [0 .. newSize - 1] $ \i -> do + if i < oldSize + then do + x <- readLitTable old (MkLit i) + writeLitTable new (MkLit i) x + else do + vec <- newVec 16 + writeLitTable new (MkLit i) vec + + return (CDB new) + +insertClauseDB :: Lit -> Lit -> Clause2 -> ClauseDB s -> ST s () +insertClauseDB !l1 !l2 !clause !cdb = do + ASSERTING(assertST "l1" (litInClause l1 clause)) + ASSERTING(assertST "l2" (litInClause l2 clause)) + insertWatch l1 (W l2 clause) cdb + insertWatch l2 (W l1 clause) cdb + +insertWatch :: Lit -> Watch -> ClauseDB s -> ST s () +insertWatch !l !w (CDB cdb) = do + ws <- readLitTable cdb l + ws' <- insertVec ws w + writeLitTable cdb l ws' + +lookupClauseDB :: Lit -> ClauseDB s -> ST s (Vec s Watch) +lookupClauseDB !l (CDB arr) = do + readLitTable arr l + +clearClauseDB :: ClauseDB s -> Lit -> ST s () +clearClauseDB (CDB cdb) l = do + v <- newVec 0 + writeLitTable cdb l v + +#else + +type ClauseDB s = [Clause2] + +-- TODO: this is used in learning code. +insertClauseDB :: Lit -> Lit -> Clause2 -> ClauseDB s -> ST s () +insertClauseDB _ _ _ _ = return () + +#endif + +------------------------------------------------------------------------------- +-- Clause +------------------------------------------------------------------------------- + +type Clause = [Lit] + +data Satisfied + = Satisfied + | Conflicting + | Unit !Lit + | Unresolved !Clause2 + deriving Show + +satisfied :: PartialAssignment s -> Clause -> ST s Satisfied +satisfied !pa = go0 . nub where + go0 [] = return Conflicting + go0 (l:ls) = lookupPartialAssignment l pa >>= \case + LUndef -> go1 l ls + LTrue -> return Satisfied + LFalse -> go0 ls + + go1 !l1 [] = return (Unit l1) + go1 !l1 (l:ls) = lookupPartialAssignment l pa >>= \case + LUndef -> go2 l1 l [] ls + LTrue -> return Satisfied + LFalse -> go1 l1 ls + + go2 !l1 !l2 acc [] = return (Unresolved (MkClause2 False l1 l2 (primArrayFromList acc))) + go2 !l1 !l2 acc (l:ls) = lookupPartialAssignment l pa >>= \case + LUndef -> go2 l1 l2 (l : acc) ls + LTrue -> return Satisfied + LFalse -> go2 l1 l2 acc ls + +------------------------------------------------------------------------------- +-- Clause2 +------------------------------------------------------------------------------- + +#ifdef ENABLE_ASSERTS +assertClauseConflicting :: PartialAssignment s -> Clause2 -> ST s () +assertClauseConflicting pa c = + satisfied2_ pa c $ \case + Conflicting_ -> return () + ot -> assertST (show ot) False + +assertClauseUnit :: PartialAssignment s -> Clause2 -> ST s () +assertClauseUnit pa c = + satisfied2_ pa c $ \case + Unit_ {} -> return () + ot -> assertST (show ot) False + +assertClauseSatisfied :: PartialAssignment s -> Clause2 -> ST s () +assertClauseSatisfied pa c = + satisfied2_ pa c $ \case + Satisfied_ {} -> return () + ot -> assertST (show ot) False +#endif + +------------------------------------------------------------------------------- +-- Solver +------------------------------------------------------------------------------- + +-- | Solver +data Solver s = Solver + { ok :: !(STRef s Bool) + , nextLit :: !(STRef s Int) -- TODO: change to PrimVar + , zeroLevels :: !(STRef s (Levels s)) + , zeroHead :: !(PrimVar s Int) + , zeroTrail :: !(STRef s (Trail s)) + , zeroPA :: !(STRef s (PartialAssignment s)) + , zeroVars :: !(STRef s (VarSet s)) + , prevPA :: !(STRef s (PartialAssignment s)) + , clauses :: !(STRef s (ClauseDB s)) + , lcg :: !(LCG s) + , statistics :: !(Stats s) + } + +-- | Create new solver +newSolver :: ST s (Solver s) +newSolver = do + ok <- newSTRef True + nextLit <- newSTRef 0 + statistics <- newStats + + zeroLevels <- newLevels 1024 >>= newSTRef + zeroVars <- newVarSet >>= newSTRef + zeroPA <- newPartialAssignment 1024 >>= newSTRef + zeroHead <- newPrimVar 0 + zeroTrail <- newTrail 1024 >>= newSTRef + + prevPA <- newPartialAssignment 1024 >>= newSTRef + +#ifdef TWO_WATCHED_LITERALS + clauses <- newClauseDB 0 >>= newSTRef +#else + clauses <- newSTRef [] +#endif + lcg <- newLCG 44 + return Solver {..} + +-- | Create fresh literal +newLit :: Solver s -> ST s Lit +newLit Solver {..} = do + l' <- readSTRef nextLit + let n = l' + 2 + writeSTRef nextLit n + let l = MkLit l' + + TRACING(traceM $ "!!! newLit " ++ show l) + + levels <- readSTRef zeroLevels + levels' <- extendLevels levels n + writeSTRef zeroLevels levels' + + pa <- readSTRef zeroPA + pa' <- extendPartialAssignment pa + writeSTRef zeroPA pa' + + trail <- readSTRef zeroTrail + trail' <- extendTrail trail n + writeSTRef zeroTrail trail' + + -- add unsolved variable. + vars <- readSTRef zeroVars + vars' <- extendVarSet n vars + writeSTRef zeroVars vars' + +#ifdef TWO_WATCHED_LITERALS + clauseDB <- readSTRef clauses + clauseDB' <- extendClauseDB clauseDB n + writeSTRef clauses clauseDB' +#endif + + insertVarSet (litToVar l) vars' + + return l + +boostScore :: Solver s -> Lit -> ST s () +boostScore Solver {..} l = do + vars <- readSTRef zeroVars + weightVarSet (litToVar l) boost vars + +addClause :: Solver s -> [Lit] -> ST s Bool +addClause solver@Solver {..} clause = whenOk ok $ do + pa <- readSTRef zeroPA + s <- satisfied pa clause + case s of + Satisfied -> + return True + + Conflicting -> do + TRACING(traceM ">>> ADD CLAUSE conflict") + unsat solver + + Unresolved !c -> do + incrStatsClauses statistics + + clauseDB <- readSTRef clauses +#ifdef TWO_WATCHED_LITERALS + let MkClause2 _ l1 l2 _ = c + insertClauseDB l1 l2 c clauseDB +#else + writeSTRef clauses (c : clauseDB) +#endif + + return True + + Unit l -> do + TRACING(traceM $ "addClause unit: " ++ show l) + + clauseDB <- readSTRef clauses + let qhead = zeroHead + + levels <- readSTRef zeroLevels + trail <- readSTRef zeroTrail + vars <- readSTRef zeroVars + + -- insert new literal + initialEnqueue trail pa levels vars l + + -- propagate + res <- initialLoop clauseDB qhead trail levels pa vars + + if res + then return True + else unsat solver + +unsat :: Solver s -> ST s Bool +unsat Solver {..} = do + writeSTRef ok False + -- TODO: cleanup clauses + -- writeSTRef clauses [] + readSTRef zeroVars >>= clearVarSet + return False + +------------------------------------------------------------------------------- +-- Solving +------------------------------------------------------------------------------- + +data Self s = Self + { clauseDB :: !(ClauseDB s) + -- ^ clause database + + -- TODO: add variable size + + , level :: !(PrimVar s Level) + -- ^ current decision level + + , levels :: !(Levels s) + -- ^ decision levels of literals + + , pa :: !(PartialAssignment s) + -- ^ current partial assignment + + , prev :: !(PartialAssignment s) + -- ^ previous partial assignment + + , zero :: !(PartialAssignment s) + -- ^ ground partial assignment + + , qhead :: !(PrimVar s Int) + -- ^ unit propsagation head + + , vars :: !(VarSet s) + -- ^ undecided variables + + , reasons :: !(LitTable s Clause2) + -- ^ reason clauses + + , sandbox :: !(LitSet s) + -- ^ sandbox used to construct conflict clause + + , trail :: {-# UNPACK #-} !(Trail s) + -- ^ solution trail + + , stats :: !(Stats s) + } + +assertSelfInvariants :: Self s -> ST s () +assertSelfInvariants _ = return () + +solve :: Solver s -> ST s Bool +solve solver@Solver {..} = whenOk_ (simplify solver) $ do + clauseDB <- readSTRef clauses + + litCount <- readSTRef nextLit + level <- newPrimVar (Level 0) + sandbox <- newLitSet litCount + reasons <- newLitTable litCount nullClause + + zero <- readSTRef zeroPA + + levels <- readSTRef zeroLevels + qhead <- readPrimVar zeroHead >>= newPrimVar + vars <- readSTRef zeroVars >>= cloneVarSet + pa <- readSTRef zeroPA >>= clonePartialAssignment + trail <- readSTRef zeroTrail >>= cloneTrail + + prev <- newPartialAssignment litCount + + let stats = statistics + + TRACING(sizeofVarSet vars >>= \n -> traceM $ "vars to solve " ++ show n) + TRACING(tracePartialAssignment pa) + + let self = Self {..} + + solveLoop self >>= \case + False -> unsat solver + True -> do + writeSTRef prevPA pa + return True + +initialEnqueue :: Trail s -> PartialAssignment s -> Levels s -> VarSet s -> Lit -> ST s () +initialEnqueue trail pa levels vars l = do + insertPartialAssignment l pa + deleteVarSet (litToVar l) vars + setLevel levels l zeroLevel + pushTrail l trail + +enqueue :: Self s -> Lit -> Level -> Clause2 -> ST s () +enqueue Self {..} l d c = do + TRACING(traceM $ "enqueue " ++ show (l, d, c)) + ASSERTING(assertLiteralUndef l pa) + ASSERTING(assertST "enqueue reason" (isNullClause c || litInClause l c)) + + insertPartialAssignment l pa + deleteVarSet (litToVar l) vars + pushTrail l trail + setLevel levels l d + writeLitTable reasons l c + + +unsetLiteral :: Self s -> Lit -> ST s () +unsetLiteral Self {..} l = do + -- TODO: assert l in pa + -- TODO: assert (litToVar l) not in vars + deletePartialAssignment l pa + insertVarSet (litToVar l) vars + +boostSandbox :: Self s -> ST s () +boostSandbox Self {..} = do + n <- readPrimVar size + go 0 n + where + LS SS {..} = sandbox + + go !i !n = when (i < n) $ do + l <- readPrimArray dense i + weightVarSet (litToVar (MkLit l)) boost vars + go (i + 1) n + +solveLoop :: forall s. Self s -> ST s Bool +solveLoop self@Self {..} = do + let Trail sizeVar _ = trail + n <- readPrimVar sizeVar + i <- readPrimVar qhead + + TRACING(traceM $ "!!! SOLVE: " ++ show (i, n)) + TRACING(tracePartialAssignment zero) + TRACING(tracePartialAssignment pa) + TRACING(traceTrail reasons levels trail) + + if i < n + then do + -- traceM $ "i < n: " ++ show (i, n) + -- traceTrail reasons levels trail + l <- indexTrail trail i + + writePrimVar qhead (i + 1) + unitPropagate self l + else + noUnit + where + noUnit :: ST s Bool + noUnit = minViewVarSet vars noVar yesVar + + noVar :: ST s Bool + noVar = do + TRACING(traceM ">>> SOLVE: SAT") + return True + + yesVar :: Var -> ST s Bool + yesVar !v = do + TRACING(traceM $ ">>> SOLVE: deciding variable " ++ show v) + -- increase decision level + lvl <- readPrimVar level + let !lvl' = succ lvl + writePrimVar level lvl' + + l' <- lookupPartialAssignment l prev <&> \case + LTrue -> neg l + LFalse -> l + LUndef -> l + + enqueue self l' lvl' nullClause + + -- solve loop + modifyPrimVar qhead $ \i -> i + 1 + unitPropagate self l' + where + !l = varToLit v + +unitPropagate :: forall s. Self s -> Lit -> ST s Bool + +#ifdef TWO_WATCHED_LITERALS + +unitPropagate self@Self {..} !l = do + TRACING(traceM ("!!! PROPAGATE " ++ show l)) + + ASSERTING(let Trail sizeVar trailLits = trail) + ASSERTING(n <- readPrimVar sizeVar) + ASSERTING(assertST "trail not empty" $ n > 0) + ASSERTING(q <- readPrimVar qhead) + ASSERTING(assertST "qhead" $ q <= n) + TRACING(traceM $ show q) + ASSERTING(ll <- indexTrail trail (q - 1)) + ASSERTING(assertST "end of the trail is the var we propagate" $ l == ll) + + watches <- lookupClauseDB (neg l) clauseDB + size <- sizeofVec watches + go watches 0 0 size + where + go :: Vec s Watch -> Int -> Int -> Int -> ST s Bool + go !watches !i !j !size + | i >= size + = do + shrinkVec watches j + solveLoop self + + | otherwise + = readVec watches i >>= \ w@(W l' c) -> do + let onConflict :: ST s Bool + {-# INLINE onConflict #-} + onConflict = do + writeVec watches j w + copyWatches watches (i + 1) (j + 1) size + backtrack self c + + onSatisfied :: ST s Bool + {-# INLINE onSatisfied #-} + onSatisfied = do + writeVec watches j w + go watches (i + 1) (j + 1) size + + onUnit :: Lit -> ST s Bool + {-# INLINE onUnit #-} + onUnit u = do + writeVec watches j w + + lvl <- readPrimVar level + enqueue self u lvl c + go watches (i + 1) (j + 1) size + + if isBinaryClause2 c + then lookupPartialAssignment l' pa >>= \case + LUndef -> onUnit l' + LTrue -> onSatisfied + LFalse -> onConflict + else do + let kontUnitPropagate = \case + Conflicting_ -> onConflict + Satisfied_ -> onSatisfied + Unit_ u -> onUnit u + Unresolved_ l1 l2 + | l2 /= l', l2 /= l + -> do + insertWatch l2 w clauseDB + go watches (i + 1) j size + + | l1 /= l', l1 /= l + -> do + insertWatch l1 w clauseDB + go watches (i + 1) j size + + | otherwise + -> error ("watch" ++ show (l, l1, l2, l')) + + {-# INLINE [1] kontUnitPropagate #-} + + satisfied2_ pa c kontUnitPropagate + +copyWatches :: Vec s Watch -> Int -> Int -> Int -> ST s () +copyWatches watches i j size = do + if i < size + then do + w' <- readVec watches i + writeVec watches j w' + copyWatches watches (i + 1) (j + 1) size + + else shrinkVec watches j +#else + +unitPropagate self@Self {..} _l = go clauseDB + where + go :: [Clause2] -> ST s Bool + go [] = solveLoop self + go (c:cs) = satisfied2_ pa c $ \case + Conflicting_ -> backtrack self c + Satisfied_ -> go cs + Unit_ u -> do + lvl <- readPrimVar level + enqueue self u lvl c + go cs + Unresolved_ _ _ -> go cs +#endif + +traceCause :: LitSet s -> ST s () +traceCause sandbox = do + xs <- elemsLitSet sandbox + traceM $ "current cause " ++ show xs + +withTwoLargestLevels :: LitSet s -> Int -> Levels s -> (Level -> Level -> ST s r) -> ST s r +withTwoLargestLevels !sandbox !conflictSize !levels kont = + go zeroLevel zeroLevel 0 + where + go d1 d2 i + | i >= conflictSize = kont d1 d2 + | otherwise = do + d <- indexLitSet sandbox i >>= getLevel levels + if d > d2 then go d2 d (i + 1) + else if d > d1 then go d d2 (i + 1) + else go d1 d2 (i + 1) + +analyse :: forall s. Self s -> Clause2 -> ST s Level +analyse Self {..} !cause = do + TRACING(traceM $ "!!! ANALYSE: " ++ show cause) + let Trail size lits = trail + n <- readPrimVar size + clearLitSet sandbox + forLitInClause2_ cause insertSandbox + conflictSize <- sizeofLitSet sandbox + + withTwoLargestLevels sandbox conflictSize levels $ \d1 d2 -> do + lvl <- readPrimVar level + if (d1 < lvl) then return d1 else if (d2 < lvl) then return d2 else go lits n (n - 1) + where + + insertSandbox !l = insertLitSet l sandbox + {-# INLINE insertSandbox #-} + + go :: MutablePrimArray s Lit -> Int -> Int -> ST s Level + go !lits !n !i + | i >= 0 = do + l <- readPrimArray lits i + c <- readLitTable reasons l + + + if isNullClause c + then do + TRACING(traceM $ ">>> decided " ++ show (l, c)) + b <- memberLitSet sandbox (neg l) + if b + then do + TRACING(traceM $ ">>> decided stop: " ++ show (l, c)) + tracePartialAssignment zero + traceCause sandbox + traceTrail reasons levels trail + error $ "decision variable" ++ show (b, n, i, l, c, cause) + else do + TRACING(traceM $ ">>> decided skip: " ++ show (l, c)) + go lits n (i - 1) + else do + b <- memberLitSet sandbox (neg l) + if b + then do + TRACING(traceM $ ">>> deduced undo" ++ show (l, c)) + TRACING(traceCause sandbox) + + ASSERTING(assertST "literal in reason clause" $ litInClause l c) + + -- resolution of current conflict with the deduction cause + forLitInClause2_ c insertSandbox + deleteLitSet l sandbox + deleteLitSet (neg l) sandbox + + TRACING(traceCause sandbox) + conflictSize <- sizeofLitSet sandbox + + withTwoLargestLevels sandbox conflictSize levels $ \d1 d2 -> do + lvl <- readPrimVar level + -- traceM $ "UIP? " ++ show (lvl, d1, d2) + if (d1 < lvl) then return d1 else if (d2 < lvl) then return d2 else go lits n (i - 1) + else do + TRACING(traceM $ ">>> decuced skip" ++ show (l, c)) + go lits n (i - 1) + + | otherwise + = assertST "reached end of trail" False >> error "-" + +backjump0 :: forall s. Self s -> ST s Bool +backjump0 self@Self {..} = do + TRACING(traceM $ "!!! BACKJUMP0") + TRACING(traceCause sandbox) + TRACING(traceTrail reasons levels trail) + ASSERTING(assertSelfInvariants self) + + incrStatsRestarts stats + + writePrimVar level zeroLevel + + i <- readPrimVar sizeVar + go (i - 1) + where + Trail sizeVar _ = trail + + go :: Int -> ST s Bool + go i + | i >= 0 = do + l <- indexTrail trail i + dlvl <- getLevel levels l + if dlvl == zeroLevel + then done (i + 1) + else do + unsetLiteral self l + go (i - 1) + | otherwise = done 0 + + done :: Int -> ST s Bool + done i = do + conflictSize <- sizeofLitSet sandbox + u <- case conflictSize of + 1 -> unsingletonLitSet sandbox + _ -> do + conflictCause <- litSetToClause sandbox + satisfied2_ pa conflictCause $ \case + Unit_ l' -> return l' + x -> error $ "TODO " ++ show (conflictSize, x) + + writePrimVar sizeVar i + writePrimVar qhead (i + 1) + enqueue self u zeroLevel nullClause + + res <- initialUnitPropagate clauseDB qhead trail levels pa vars u + if res + then solveLoop self + else return False + +backjump :: forall s. Self s -> Level -> ST s Bool +backjump self@Self {..} conflictLevel = do + TRACING(traceM $ "!!! BACKJUMP: " ++ show conflictLevel) + TRACING(traceCause sandbox) + TRACING(traceTrail reasons levels trail) + + ASSERTING(assertST "backump level > 0" $ conflictLevel > zeroLevel) + + writePrimVar level conflictLevel + + let Trail sizeVar _ = trail + i <- readPrimVar sizeVar + go sizeVar (i - 1) + where + go sizeVar i = do + l <- indexTrail trail i + dlvl <- getLevel levels l + + if dlvl == conflictLevel + then do + TRACING(traceM $ ">>> JUMP: " ++ show (i, l, dlvl, conflictLevel)) + conflictSize <- sizeofLitSet sandbox + ASSERTING(assertST "conflict size >= 2" $ conflictSize >= 2) + + conflictClause <- litSetToClause sandbox + TRACING(traceM $ "JUMPED: " ++ show (i, l, dlvl, conflictLevel, conflictClause)) + + satisfied2_ pa conflictClause $ \case + Unit_ u -> do + writePrimVar sizeVar (i + 1) + writePrimVar qhead (i + 2) + enqueue self u dlvl conflictClause + + TRACING(traceM $ ">>> JUMPED: " ++ show (i, l, dlvl, conflictLevel, conflictClause, u)) + TRACING(tracePartialAssignment pa) + TRACING(traceTrail reasons levels trail) + + unitPropagate self u + + x -> error $ "TODO _" ++ show (conflictSize, x) + else do + TRACING(traceM $ ">>> UNDO: " ++ show (i, l, dlvl)) + unsetLiteral self l + go sizeVar (i - 1) + +backtrack :: forall s. Self s -> Clause2 -> ST s Bool +backtrack self@Self {..} !cause = do + TRACING(traceM $ "!!! CONFLICT " ++ show cause) + TRACING(tracePartialAssignment pa) + TRACING(traceTrail reasons levels trail) + + incrStatsConflicts stats + scaleVarSet vars decay + + TRACING(lvl <- readPrimVar level) + clvl <- analyse self cause + + TRACING(traceM $ ">>> analysed " ++ show (lvl, clvl, cause)) + TRACING(traceCause sandbox) + + -- learn binary clauses + conflictSize <- sizeofLitSet sandbox + when (conflictSize == 2) $ do + conflictClause <- litSetToClause sandbox + incrStatsLearnt stats + incrStatsLearntLiterals stats conflictSize + + case conflictClause of + MkClause2 _ l1 l2 _ -> insertClauseDB l1 l2 conflictClause clauseDB + + -- boost literals in conflict clause + boostSandbox self + + if clvl == Level 0 + then backjump0 self + else backjump self clvl + +------------------------------------------------------------------------------- +-- initial loop +------------------------------------------------------------------------------- + +initialLoop :: forall s. ClauseDB s -> PrimVar s Int -> Trail s -> Levels s -> PartialAssignment s -> VarSet s -> ST s Bool +initialLoop !clauseDB !qhead !trail !levels !pa !vars = do + let Trail sizeVar _ = trail + n <- readPrimVar sizeVar + i <- readPrimVar qhead + + TRACING(traceM $ "!!! INITIAL: " ++ show (i, n)) + TRACING(tracePartialAssignment pa) + + if i < n + then do + -- traceM $ "i < n: " ++ show (i, n) + -- traceTrail reasons levels trail + l <- indexTrail trail i + + writePrimVar qhead (i + 1) + initialUnitPropagate clauseDB qhead trail levels pa vars l + + else return True + +initialUnitPropagate :: forall s. ClauseDB s -> PrimVar s Int -> Trail s -> Levels s -> PartialAssignment s -> VarSet s -> Lit -> ST s Bool +initialUnitPropagate !clauseDB !qhead !trail !levels !pa !vars !l = do + let _unused = l + TRACING(traceM ("initialUnitPropagate " ++ show l)) +#ifdef TWO_WATCHED_LITERALS + watches <- lookupClauseDB (neg l) clauseDB + size <- sizeofVec watches + TRACING(traceM ("initialUnitPropagate watches: " ++ show size)) + go watches 0 0 size + where + go :: Vec s Watch -> Int -> Int -> Int -> ST s Bool + go !watches !i !j !size + | i >= size + = do + shrinkVec watches j + initialLoop clauseDB qhead trail levels pa vars + + | otherwise + = readVec watches i >>= \ w@(W l' c) -> + satisfied2_ pa c (kontInitialUnitPropagate w l') + where + {-# INLINE [1] kontInitialUnitPropagate #-} + kontInitialUnitPropagate w l' = \case + Conflicting_ -> do + writeVec watches j w + copyWatches watches (i + 1) (j + 1) size + return False + Satisfied_ -> do + writeVec watches j w + go watches (i + 1) (j + 1) size + Unit_ u -> do + writeVec watches j w + initialEnqueue trail pa levels vars u + go watches (i + 1) (j + 1) size + Unresolved_ l1 l2 + | l2 /= l', l2 /= l + -> do + insertWatch l2 w clauseDB + go watches (i + 1) j size + + | l1 /= l', l1 /= l + -> do + insertWatch l1 w clauseDB + go watches (i + 1) j size + + | otherwise + -> error ("watch" ++ show (l, l1, l2, l')) +#else + go clauseDB + where + go [] = initialLoop clauseDB units vars pa + go (c:cs) = satisfied2_ pa c (kontInitialUnitPropagate cs) + + {-# INLINE [1] kontInitialUnitPropagate #-} + kontInitialUnitPropagate :: [Clause2] -> Satisfied_ -> ST s Bool + kontInitialUnitPropagate cs = \case + Conflicting_ -> return False + Unresolved_ _ _ -> go cs + Satisfied_ -> go cs + Unit_ u -> do + insertLitSet u units + go cs +#endif + +------------------------------------------------------------------------------- +-- simplify +------------------------------------------------------------------------------- + +-- | Simplify solver +simplify :: Solver s -> ST s Bool +simplify Solver {..} = whenOk ok $ return True +-- TODO: go through clauses: +-- * filter out satisfied clauses +-- * filter out the solved literals from remaining clauses + +------------------------------------------------------------------------------- +-- statistics +------------------------------------------------------------------------------- + +num_vars :: Solver s -> ST s Int +num_vars Solver {..} = do + n <- readSTRef nextLit + return (unsafeShiftR n 1) + +num_clauses :: Solver s -> ST s Int +num_clauses Solver {..} = readStatsClauses statistics + +num_learnts :: Solver s -> ST s Int +num_learnts Solver {..} = readStatsLearnt statistics + +num_learnt_literals :: Solver s -> ST s Int +num_learnt_literals Solver {..} = readStatsLearntLiterals statistics + +num_conflicts :: Solver s -> ST s Int +num_conflicts Solver {..} = readStatsConflicts statistics + +num_restarts :: Solver s -> ST s Int +num_restarts Solver {..} = readStatsRestarts statistics + +------------------------------------------------------------------------------- +-- queries +---------------------------------------- --------------------------------------- + +-- | Lookup model value +modelValue :: Solver s -> Lit -> ST s Bool +modelValue Solver {..} l = do + pa <- readSTRef prevPA + lookupPartialAssignment l pa <&> \case + LUndef -> False + LTrue -> True + LFalse -> False diff --git a/src/PureSAT/PartialAssignment.hs b/src/PureSAT/PartialAssignment.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/PartialAssignment.hs @@ -0,0 +1,91 @@ +{-# LANGUAGE CPP #-} +{-# LANGUAGE LambdaCase, ViewPatterns #-} +module PureSAT.PartialAssignment where + +#define ASSERTING(x) + +import PureSAT.Base +import PureSAT.LBool +import PureSAT.LitVar +import PureSAT.Prim + +------------------------------------------------------------------------------- +-- Partial Assignment +------------------------------------------------------------------------------- + +newtype PartialAssignment s = PA (MutableByteArray s) + +newPartialAssignment :: Int -> ST s (PartialAssignment s) +newPartialAssignment (max 4096 -> size) = do + arr <- newByteArray size + shrinkMutableByteArray arr size + fillByteArray arr 0 size 0xff + return (PA arr) + +clonePartialAssignment :: PartialAssignment s -> ST s (PartialAssignment s) +clonePartialAssignment (PA old) = do + n <- getSizeofMutableByteArray old + new <- newByteArray n + copyMutableByteArray new 0 old 0 n + return (PA new) + +copyPartialAssignment :: PartialAssignment s -> PartialAssignment s -> ST s () +copyPartialAssignment (PA src) (PA tgt) = do + n <- getSizeofMutableByteArray src + m <- getSizeofMutableByteArray tgt + let size = min n m + copyMutableByteArray tgt 0 src 0 size + +extendPartialAssignment :: PartialAssignment s -> ST s (PartialAssignment s) +extendPartialAssignment (PA arr) = do + size <- getSizeofMutableByteArray arr + arr' <- resizeMutableByteArray arr (size + 1) + writeByteArray arr' size (0xff :: Word8) + return (PA arr') + +lookupPartialAssignment :: Lit -> PartialAssignment s -> ST s LBool +lookupPartialAssignment (MkLit l) (PA arr) = do + readByteArray arr (lit_to_var l) >>= \case + 0x0 -> return (if y then LFalse else LTrue) + 0x1 -> return (if y then LTrue else LFalse) + _ -> return LUndef + where + y = testBit l 0 + {-# INLINE y #-} + +insertPartialAssignment :: Lit -> PartialAssignment s -> ST s () +insertPartialAssignment (MkLit l) (PA arr) = do + ASSERTING(readByteArray arr (lit_to_var l) >>= \x -> assertST "insert" (x == (0xff :: Word8))) + writeByteArray arr (lit_to_var l) (if testBit l 0 then 0x1 else 0x0 :: Word8) + +deletePartialAssignment :: Lit -> PartialAssignment s -> ST s () +deletePartialAssignment (MkLit l) (PA arr) = do + writeByteArray arr (lit_to_var l) (0xff :: Word8) + +tracePartialAssignment :: PartialAssignment s -> ST s () +tracePartialAssignment (PA arr) = do + n <- getSizeofMutableByteArray arr + lits <- go n [] 0 + traceM $ "PartialAssignment " ++ show lits + where + go n acc i + | i < n + , let l = MkLit (var_to_lit i) + = readByteArray arr i >>= \case + 0x0 -> go n ( l : acc) (i + 1) + 0x1 -> go n (neg l : acc) (i + 1) + _ -> go n acc (i + 1) + + | otherwise + = return (reverse acc) + +assertLiteralInPartialAssignment :: Lit -> PartialAssignment s -> ST s () +assertLiteralInPartialAssignment l pa = + lookupPartialAssignment l pa >>= \case + LTrue -> return () + x -> assertST ("lit in partial: " ++ show x) False + +assertLiteralUndef :: Lit -> PartialAssignment s -> ST s () +assertLiteralUndef l pa = + lookupPartialAssignment l pa >>= \x -> + assertST ("assertLiteralUndef: " ++ show x) (x == LUndef) diff --git a/src/PureSAT/Prim.hs b/src/PureSAT/Prim.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Prim.hs @@ -0,0 +1,197 @@ +{-# LANGUAGE CPP #-} +module PureSAT.Prim ( + -- * ByteArray + P.MutableByteArray, + P.newByteArray, + P.getSizeofMutableByteArray, + readByteArray, + writeByteArray, + shrinkMutableByteArray, + fillByteArray, + copyMutableByteArray, + resizeMutableByteArray, + -- * Array of primitive values + P.Prim, + P.PrimArray (..), + P.MutablePrimArray (..), + P.newPrimArray, + P.getSizeofMutablePrimArray, + P.resizeMutablePrimArray, + P.primArrayFromList, + P.primArrayToList, + P.foldrPrimArray, + readPrimArray, + writePrimArray, + setPrimArray, + indexPrimArray, + P.sizeofPrimArray, + freezePrimArray, + P.emptyPrimArray, + copyMutablePrimArray, + -- * Array + P.MutableArray, + P.newArray, + P.sizeofMutableArray, + readArray, + writeArray, + copyMutableArray, +) where + +#define PureSAT_PRIM_BOUNDS_CHECK + +#ifdef PureSAT_PRIM_BOUNDS_CHECK +#define BOUNDS_CHECK_CTX HasCallStack => +#else +#define BOUNDS_CHECK_CTX HasCallStack +#endif + +import qualified Data.Primitive as P + +import PureSAT.Base + +------------------------------------------------------------------------------- +-- ByteArray +------------------------------------------------------------------------------- + + +readByteArray :: BOUNDS_CHECK_CTX P.MutableByteArray s -> Int -> ST s Word8 +readByteArray arr i = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + n <- P.getSizeofMutableByteArray arr + assertST "readByteArray" $ 0 <= i && i < n +#endif + P.readByteArray arr i + +writeByteArray :: BOUNDS_CHECK_CTX P.MutableByteArray s -> Int -> Word8 -> ST s () +writeByteArray arr i x = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + n <- P.getSizeofMutableByteArray arr + assertST "readByteArray" $ 0 <= i && i < n +#endif + P.writeByteArray arr i x + +shrinkMutableByteArray :: BOUNDS_CHECK_CTX P.MutableByteArray s -> Int -> ST s () +shrinkMutableByteArray arr m = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + n <- P.getSizeofMutableByteArray arr + assertST "shrinkMutableByteArray" $ 0 <= m && m <= n +#endif + P.shrinkMutableByteArray arr m + +fillByteArray :: BOUNDS_CHECK_CTX P.MutableByteArray s -> Int -> Int -> Word8 -> ST s () +fillByteArray arr off len x = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + n <- P.getSizeofMutableByteArray arr + -- traceM $ "fillByteArray " ++ show (off, len, n) + assertST "fillByteArray" $ 0 <= off && off < n + assertST "fillByteArray" $ 0 <= (off + len) && (off + len) <= n +#endif + P.fillByteArray arr off len x + +copyMutableByteArray :: BOUNDS_CHECK_CTX P.MutableByteArray s -> Int -> P.MutableByteArray s -> Int -> Int -> ST s () +copyMutableByteArray dst off src off' len = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + n <- P.getSizeofMutableByteArray dst + assertST "copyMutableByteArray" $ 0 <= off && off < n + assertST "copyMutableByteArray" $ 0 <= (off + len) && (off + len) <= n + + m <- P.getSizeofMutableByteArray src + assertST "copyMutableByteArray" $ 0 <= off' && off' < m + assertST "copyMutableByteArray" $ 0 <= (off' + len) && (off' + len) <= m +#endif + P.copyMutableByteArray dst off src off' len + +resizeMutableByteArray :: BOUNDS_CHECK_CTX P.MutableByteArray s -> Int -> ST s (P.MutableByteArray s) +resizeMutableByteArray arr len = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK +#endif + P.resizeMutableByteArray arr len + +------------------------------------------------------------------------------- +-- PrimArray +------------------------------------------------------------------------------- + +readPrimArray :: BOUNDS_CHECK_CTX P.Prim a => P.MutablePrimArray s a -> Int -> ST s a +readPrimArray arr i = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + n <- P.getSizeofMutablePrimArray arr + assertST "readPrimArray" $ 0 <= i && i < n +#endif + P.readPrimArray arr i + +writePrimArray :: BOUNDS_CHECK_CTX P.Prim a => P.MutablePrimArray s a -> Int -> a -> ST s () +writePrimArray arr i x = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + n <- P.getSizeofMutablePrimArray arr + assertST "writePrimArray" $ 0 <= i && i < n +#endif + P.writePrimArray arr i x + +setPrimArray :: BOUNDS_CHECK_CTX P.Prim a => P.MutablePrimArray s a -> Int -> Int -> a -> ST s () +setPrimArray arr off len x = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + n <- P.getSizeofMutablePrimArray arr + assertST "setPrimArray" $ 0 <= off && off < n + assertST "setPrimArray" $ 0 <= (off + len) && (off + len) <= n +#endif + P.setPrimArray arr off len x + +freezePrimArray :: BOUNDS_CHECK_CTX P.Prim a => P.MutablePrimArray s a -> Int -> Int -> ST s (P.PrimArray a) +freezePrimArray arr off len = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + n <- P.getSizeofMutablePrimArray arr + assertST "setPrimArray" $ 0 <= off && off < n + assertST "setPrimArray" $ 0 <= (off + len) && (off + len) <= n +#endif + P.freezePrimArray arr off len + +indexPrimArray :: BOUNDS_CHECK_CTX P.Prim a => P.PrimArray a -> Int -> a +indexPrimArray arr i +#ifdef PureSAT_PRIM_BOUNDS_CHECK + | not (0 <= i && i < P.sizeofPrimArray arr) = error "indexPrimArray" +#endif + | otherwise = P.indexPrimArray arr i + +copyMutablePrimArray :: BOUNDS_CHECK_CTX P.Prim a => P.MutablePrimArray s a -> Int -> P.MutablePrimArray s a -> Int -> Int -> ST s () +copyMutablePrimArray dst off src off' len = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + n <- P.getSizeofMutablePrimArray dst + assertST "copyMutablePrimArray" $ 0 <= off && off < n + assertST "copyMutablePrimArray" $ 0 <= (off + len) && (off + len) <= n + + m <- P.getSizeofMutablePrimArray src + assertST "copyMutablePrimArray" $ 0 <= off' && off' < m + assertST "copyMutablePrimArray" $ 0 <= (off' + len) && (off' + len) <= m +#endif + P.copyMutablePrimArray dst off src off' len + +------------------------------------------------------------------------------- +-- Array +------------------------------------------------------------------------------- + +readArray :: BOUNDS_CHECK_CTX P.MutableArray s a -> Int -> ST s a +readArray arr i = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + assertST "readArray" $ 0 <= i && i < P.sizeofMutableArray arr +#endif + P.readArray arr i + +writeArray :: BOUNDS_CHECK_CTX P.MutableArray s a -> Int -> a -> ST s () +writeArray arr i x = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + assertST "readArray" $ 0 <= i && i < P.sizeofMutableArray arr +#endif + P.writeArray arr i x + +copyMutableArray :: BOUNDS_CHECK_CTX P.MutableArray s a -> Int -> P.MutableArray s a -> Int -> Int -> ST s () +copyMutableArray dst off src off' len = do +#ifdef PureSAT_PRIM_BOUNDS_CHECK + let n = P.sizeofMutableArray dst + assertST "copyMutableArray" $ 0 <= off && off < n + assertST "copyMutableArray" $ 0 <= (off + len) && (off + len) <= n + + let m = P.sizeofMutableArray src + assertST "copyMutableArray" $ 0 <= off' && off' < m + assertST "copyMutableArray" $ 0 <= (off' + len) && (off' + len) <= m +#endif + P.copyMutableArray dst off src off' len diff --git a/src/PureSAT/Satisfied.hs b/src/PureSAT/Satisfied.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Satisfied.hs @@ -0,0 +1,73 @@ +{-# LANGUAGE LambdaCase #-} +module PureSAT.Satisfied where + +import PureSAT.Base +import PureSAT.LitVar +import PureSAT.Clause2 +import PureSAT.LBool +import PureSAT.PartialAssignment +import PureSAT.Prim + +data Satisfied_ + = Satisfied_ + | Conflicting_ + | Unit_ !Lit + | Unresolved_ !Lit !Lit + deriving Show + +{-# INLINE satisfied2_ #-} +satisfied2_ :: PartialAssignment s -> Clause2 -> (Satisfied_ -> ST s r) -> ST s r +satisfied2_ !pa !(MkClause2 _ l1 l2 ls) kont = go0 + where + !len = sizeofPrimArray ls + + -- initial state + go0 = lookupPartialAssignment l1 pa >>= \case + LUndef -> go1 + LTrue -> kont Satisfied_ + LFalse -> go2 + + -- l1 -> Undef + go1 = lookupPartialAssignment l2 pa >>= \case + LUndef -> goTwo l1 l2 0 + LTrue -> kont Satisfied_ + LFalse -> goOne l1 0 + + -- l1 -> False + go2 = lookupPartialAssignment l2 pa >>= \case + LUndef -> goOne l2 0 + LTrue -> kont Satisfied_ + LFalse -> goNone 0 + + goNone !i + | i >= len + = kont Conflicting_ + + | otherwise + , let !l = indexPrimArray ls i + = lookupPartialAssignment l pa >>= \case + LUndef -> goOne l (i + 1) + LTrue -> kont Satisfied_ + LFalse -> goNone (i + 1) + + goOne !k1 !i + | i >= len + = kont $! Unit_ k1 + + | otherwise + , let !l = indexPrimArray ls i + = lookupPartialAssignment l pa >>= \case + LUndef -> goTwo k1 l (i + 1) + LTrue -> kont Satisfied_ + LFalse -> goOne k1 (i + 1) + + goTwo !k1 !k2 !i + | i >= len + = kont $! Unresolved_ k1 k2 + + | otherwise + , let !l = indexPrimArray ls i + = lookupPartialAssignment l pa >>= \case + LUndef -> goTwo k1 k2 (i + 1) + LTrue -> kont Satisfied_ + LFalse -> goTwo k1 k2 (i + 1) diff --git a/src/PureSAT/SparseMaxHeap.hs b/src/PureSAT/SparseMaxHeap.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/SparseMaxHeap.hs @@ -0,0 +1,496 @@ +{-# LANGUAGE CPP #-} +{-# LANGUAGE LambdaCase #-} +{-# LANGUAGE NamedFieldPuns #-} +{-# LANGUAGE RecordWildCards #-} +-- {-# OPTIONS_GHC -ddump-simpl -ddump-to-file -dsuppress-all #-} +module PureSAT.SparseMaxHeap ( + SparseHeap, + Weight, + sizeofSparseHeap, + newSparseHeap, + cloneSparseHeap, + memberSparseHeap, + insertSparseHeap, + deleteSparseHeap, + popSparseHeap, + popSparseHeap_, + elemsSparseHeap, + clearSparseHeap, + extendSparseHeap, + drainSparseHeap, + modifyWeightSparseHeap, + scaleWeightsSparseHeap, +) where + +import Data.Bits +import Data.Primitive.PrimVar + +import PureSAT.Base +import PureSAT.Utils +import PureSAT.Prim + +type Weight = Word + +-- import Debug.Trace + +-- #define CHECK_INVARIANTS + +-- $setup +-- >>> import Control.Monad.ST (runST) + +-- | Like sparse set https://research.swtch.com/sparse, +-- but also a max heap https://en.wikipedia.org/wiki/Heap_(data_structure) +-- +-- i.e. pop returns minimum element. +-- +data SparseHeap s = SH + { size :: {-# UNPACK #-} !(PrimVar s Int) + , dense :: {-# UNPACK #-} !(MutablePrimArray s Int) + , sparse :: {-# UNPACK #-} !(MutablePrimArray s Int) + , weight :: {-# UNPACK #-} !(MutablePrimArray s Word) + } + +le :: Int -> Weight -> Int -> Weight -> Bool +le _ !u _y !v = u >= v +{- +le !x !u !y !v = u >= v + | u > v = True + | u == v, x <= y = True + | otherwise = False +-} + +checking :: String -> SparseHeap s -> ST s a -> ST s a +{-# INLINE checking #-} + +#ifdef CHECK_INVARIANTS + +#define CHECK(tag,heap) _invariant tag heap + +checking tag heap m = do + _invariant (tag ++ " pre") heap + x <- m + _invariant (tag ++ " post") heap + return x + +#else + +#define CHECK(tag,heap) + +checking _tag _heap m = m + +#endif + +_invariant :: String -> SparseHeap s -> ST s () +_invariant tag SH {..} = do + n <- readPrimVar size + capacity <- getSizeofMutablePrimArray dense + capacity1 <- getSizeofMutablePrimArray sparse + capacity2 <- getSizeofMutablePrimArray weight + + unless (n <= capacity && capacity == capacity1 && capacity == capacity2) $ + error $ "capacities " ++ show (n, capacity, capacity1, capacity2) + + checkStructure capacity n 0 + checkHeaps n 0 + where + checkStructure capacity n i = + if i >= n + then return () + else do + x <- readPrimArray dense i + unless (x < capacity) $ error $ "x < capacity" ++ show (x, capacity) + j <- readPrimArray sparse x + unless (i == j) $ error $ "i == j" ++ show (i, j) + checkStructure capacity n (i + 1) + + checkHeaps n i = + if i >= n + then return () + else do + x <- readPrimArray dense i + u <- readPrimArray weight x + heap n i x u + checkHeaps n (i + 1) + + heap n i x u = do + let !j = 2 * i + 1 + let !k = 2 * i + 2 + + when (j < n) $ do + y <- readPrimArray dense j + v <- readPrimArray weight y + unless (le x u y v) $ error $ "heap 1 " ++ tag ++ " " ++ show (n, i, x, u, j, y, v) + + when (k < n) $ do + z <- readPrimArray dense k + w <- readPrimArray weight z + unless (le x u z w) $ error $ "heap 2 " ++ tag ++ " " ++ show (n, i, x, u, k, z, w) + +-- | Create new sparse heap. +-- +-- >>> runST $ newSparseHeap 100 >>= elemsSparseHeap +-- [] +-- +newSparseHeap + :: Int -- ^ max integer + -> ST s (SparseHeap s) +newSparseHeap !capacity' = do + let !capacity = max 1024 capacity' + size <- newPrimVar 0 + dense <- newPrimArray capacity + sparse <- newPrimArray capacity + weight <- newPrimArray capacity + setPrimArray weight 0 capacity 0 + + return SH {..} + +cloneSparseHeap :: SparseHeap s -> ST s (SparseHeap s) +cloneSparseHeap SH {..} = do + capacity <- getSizeofMutablePrimArray dense + + size' <- readPrimVar size >>= newPrimVar + dense' <- resizeMutablePrimArray dense capacity + sparse' <- resizeMutablePrimArray sparse capacity + weight' <- resizeMutablePrimArray weight capacity + + copyMutablePrimArray dense' 0 dense 0 capacity + copyMutablePrimArray sparse' 0 sparse 0 capacity + copyMutablePrimArray weight' 0 weight 0 capacity + + return SH { size = size', dense = dense', sparse = sparse', weight = weight' } + +-- | Size of sparse heap. +-- +-- >>> runST $ do { set <- newSparseHeap 100; mapM_ (insertSparseHeap set) [3,5,7,11,13,11]; sizeofSparseHeap set } +-- 5 +-- +sizeofSparseHeap :: SparseHeap s -> ST s Int +sizeofSparseHeap SH {..} = readPrimVar size + +-- | Extend sparse heap to fit new capacity. +extendSparseHeap + :: Int -- ^ new capacity + -> SparseHeap s + -> ST s (SparseHeap s) +extendSparseHeap capacity1 heap@SH {..} = do + capacity2 <- getSizeofMutablePrimArray dense + let capacity = nextPowerOf2 (max capacity2 capacity1) + + if capacity <= capacity2 + then return heap + else do + + dense' <- resizeMutablePrimArray dense capacity + sparse' <- resizeMutablePrimArray sparse capacity + weight' <- resizeMutablePrimArray weight capacity + setPrimArray weight' capacity2 (capacity - capacity2) 0 + + return SH { size, dense = dense', sparse = sparse', weight = weight' } + +-- | Test for membership. +-- +-- >>> runST $ do { set <- newSparseHeap 100; mapM_ (insertSparseHeap set) [3,5,7,11,13,11]; memberSparseHeap set 10 } +-- False +-- +-- >>> runST $ do { set <- newSparseHeap 100; mapM_ (insertSparseHeap set) [3,5,7,11,13,11]; memberSparseHeap set 13 } +-- True +-- +memberSparseHeap :: SparseHeap s -> Int -> ST s Bool +memberSparseHeap heap@SH {..} x = checking "member" heap $ do + n <- readPrimVar size + i <- readPrimArray sparse x + if 0 <= i && i < n + then do + x' <- readPrimArray dense i + return (x' == x) + else return False + +-- | Insert into the heap. +-- +-- >>> runST $ do { set <- newSparseHeap 100; mapM_ (insertSparseHeap set) [3,5,7,11,13,11]; elemsSparseHeap set } +-- [3,5,7,11,13] +-- +insertSparseHeap :: SparseHeap s -> Int -> ST s () +insertSparseHeap heap@SH {..} x = checking "insert" heap $ do + n <- readPrimVar size + i <- readPrimArray sparse x + if 0 <= i && i < n + then do + x' <- readPrimArray dense i + if x == x' then return () else insert n + else insert n + where + {-# INLINE insert #-} + insert !n = do + writePrimArray dense n x + writePrimArray sparse x n + writePrimVar size (n + 1) + u <- readPrimArray weight x + swim (n + 1) dense sparse weight n x u + +-- | Delete element from the heap. +-- +-- >>> runST $ do { set <- newSparseHeap 100; deleteSparseHeap set 10; elemsSparseHeap set } +-- [] +-- +-- >>> let insert heap x = modifyWeightSparseHeap heap x (\_ -> fromIntegral $ 100 - x) >> insertSparseHeap heap x; +-- +-- >>> runST $ do { set <- newSparseHeap 100; mapM_ (insert set) [3,5,7,11,13,11]; deleteSparseHeap set 10; elemsSparseHeap set } +-- [3,5,7,11,13] +-- +-- >>> runST $ do { set <- newSparseHeap 100; mapM_ (insert set) [3,5,7,11,13,11]; deleteSparseHeap set 13; elemsSparseHeap set } +-- [3,5,7,11] +-- +-- >>> runST $ do { set <- newSparseHeap 100; mapM_ (insert set) [3,5,7,11,13,11]; deleteSparseHeap set 11; elemsSparseHeap set } +-- [3,5,7,13] +-- +-- >>> runST $ do { set <- newSparseHeap 100; mapM_ (insert set) [3,5,7,11,13,11]; deleteSparseHeap set 3; elemsSparseHeap set } +-- [5,11,7,13] +-- +-- >>> runST $ do { set <- newSparseHeap 100; mapM_ (insert set) $ [0,2..20] ++ [19,17..3]; deleteSparseHeap set 10; elemsSparseHeap set } +-- [0,2,4,5,3,17,12,9,6,8,20,19,18,15,13,14,11,16,7] +-- +deleteSparseHeap :: SparseHeap s -> Int -> ST s () +deleteSparseHeap heap@SH {..} x = checking "delete" heap $ do + n <- readPrimVar size + i <- readPrimArray sparse x + if 0 <= i && i < n + then do + x' <- readPrimArray dense i + if x == x' then delete i n else return () + else return () + where + {-# INLINE delete #-} + delete !i !n = do + let !n' = n - 1 + writePrimVar size n' + + if i == n' + then return () + else swimSink n' i + + -- to delete element we swim it up, as if it had maximum weight, and then we pop it + swimSink n i + | i > 0 + = do + -- j = floor (i - 1 / 2) + let !j = unsafeShiftR (i - 1) 1 + y <- readPrimArray dense j + swap' dense sparse i x j y + swimSink n j + + | otherwise -- i == 0 + = do + let j = n + writePrimVar size j + + y <- readPrimArray dense j + v <- readPrimArray weight y + swap' dense sparse 0 x j y + sink j dense sparse weight 0 y v + + +{-# INLINE swap' #-} +swap' :: MutablePrimArray s Int -> MutablePrimArray s Int -> Int -> Int -> Int -> Int -> ST s () +swap' !dense !sparse !i !x !j !y = do + writePrimArray dense j x + writePrimArray dense i y + writePrimArray sparse x j + writePrimArray sparse y i + +-- sift down +sink :: Int -> MutablePrimArray s Int -> MutablePrimArray s Int -> MutablePrimArray s Weight -> Int -> Int -> Weight -> ST s () +sink !n !dense !sparse !weight !i !x !u + | k < n + = do + l <- readPrimArray dense j + r <- readPrimArray dense k + v <- readPrimArray weight l + w <- readPrimArray weight r + + -- traceM $ "sink" ++ show ((i, x, u), (j, l, v), (k, r, w)) + + if le x u l v -- x <= l + then do + if le x u r w -- x <= r + then return () + else do + -- r < x <= l; swap x and r + swap' dense sparse i x k r + sink n dense sparse weight k x u + + else do + if le l v r w -- l <= r + then do + -- l < x, l <= r; swap x and l + swap' dense sparse i x j l + sink n dense sparse weight j x u + + else do + -- r < l <= x; swap x and r + swap' dense sparse i x k r + sink n dense sparse weight k x u + + | j < n + = do + l <- readPrimArray dense j + v <- readPrimArray weight l + if le x u l v -- x <= l + then return () + else do + swap' dense sparse i x j l + -- no need to sink further, as we sinked to the last element. + + | otherwise + = return () + where + !j = 2 * i + 1 + !k = j + 1 + +-- sift up +swim :: Int -> MutablePrimArray s Int -> MutablePrimArray s Int -> MutablePrimArray s Weight -> Int -> Int -> Weight -> ST s () +swim !_n !dense !sparse !weight !i !x !u + | i <= 0 + = return () + + | otherwise + = do + -- j = floor (i - 1 / 2) + let !j = unsafeShiftR (i - 1) 1 + y <- readPrimArray dense j + v <- readPrimArray weight y + + unless (le y v x u) $ do + swap' dense sparse i x j y + swim _n dense sparse weight j x u + +-- | Modify weight of the element. +-- +-- >>> let insert heap x = modifyWeightSparseHeap heap x (\_ -> fromIntegral $ 100 - x) >> insertSparseHeap heap x; +-- >>> let populate heap = mapM_ (insert heap) [5,3,7,11,13,11] +-- >>> let populate' heap = mapM_ (insertSparseHeap heap) [5,3,7,11,13,11] +-- +-- >>> runST $ do { heap <- newSparseHeap 100; populate heap; popSparseHeap heap } +-- Just 3 +-- +-- >>> runST $ do { heap <- newSparseHeap 100; populate heap; modifyWeightSparseHeap heap 3 (\_ -> 0); popSparseHeap heap } +-- Just 5 +-- +-- Weight are preserved even if element is not in the heap at the moment +-- +-- >>> runST $ do { heap <- newSparseHeap 100; modifyWeightSparseHeap heap 7 (\_ -> 100); populate' heap; popSparseHeap heap } +-- Just 7 +-- +modifyWeightSparseHeap :: forall s. SparseHeap s -> Int -> (Weight -> Weight) -> ST s () +modifyWeightSparseHeap heap@SH {..} !x f = checking "modify" heap $ do + u' <- readPrimArray weight x + let !u = f u' + writePrimArray weight x u + + if u == u' + then return () + else do + n <- readPrimVar size + i <- readPrimArray sparse x + if 0 <= i && i < n + then do + x' <- readPrimArray dense i + if x == x' then balance n i u u' else return () + else return () + where + balance :: Int -> Int -> Weight -> Weight -> ST s () + balance !n !i !u !u' + | u >= u' + = swim n dense sparse weight i x u + + | otherwise + = sink n dense sparse weight i x u +{-# INLINE modifyWeightSparseHeap #-} + +scaleWeightsSparseHeap :: forall s. SparseHeap s -> (Weight -> Weight) -> ST s () +scaleWeightsSparseHeap heap@SH{..} f = checking "scale" heap $ do + !capacity <- getSizeofMutablePrimArray weight + go capacity 0 + where + go !n !i + | i >= n = return () + | otherwise = do + u <- readPrimArray weight i + writePrimArray weight i (f u) + +-- | Pop element from the heap. +-- +-- >>> let insert heap x = modifyWeightSparseHeap heap x (\_ -> - fromIntegral x) >> insertSparseHeap heap x; +-- +-- >>> runST $ do { heap <- newSparseHeap 100; mapM_ (insert heap) [5,3,7,11,13,11]; popSparseHeap heap } +-- Just 3 +-- +-- >>> runST $ do { heap <- newSparseHeap 500; mapM_ (insert heap) [1..400]; drainSparseHeap heap } +-- [1,2...,400] +popSparseHeap :: SparseHeap s -> ST s (Maybe Int) +popSparseHeap heap = popSparseHeap_ heap (return Nothing) (return . Just) + +{-# INLINE popSparseHeap_ #-} +popSparseHeap_ :: SparseHeap s -> ST s r -> (Int -> ST s r) -> ST s r +popSparseHeap_ _heap@SH {..} no yes = do + CHECK("pop pre", _heap) + + n <- readPrimVar size + + -- xs <- freezePrimArray dense 0 n + -- traceM $ "pop" ++ show (take 15 $ primArrayToList xs) + + if n <= 0 + then no + else do + let !j = n - 1 + writePrimVar size j + + x <- readPrimArray dense 0 + y <- readPrimArray dense j + v <- readPrimArray weight y + swap' dense sparse 0 x j y + sink j dense sparse weight 0 y v + + CHECK("pop post", _heap) + yes x + +-- | Clear sparse heap. +-- +-- >>> runST $ do { set <- newSparseHeap 100; mapM_ (insertSparseHeap set) [3,5,7,11,13,11]; clearSparseHeap set; elemsSparseHeap set } +-- [] +-- +clearSparseHeap :: SparseHeap s -> ST s () +clearSparseHeap SH {..} = do + writePrimVar size 0 + +-- | Elements of the heap. +-- +-- Returns elements as they are internally stored. +-- +elemsSparseHeap :: SparseHeap s -> ST s [Int] +elemsSparseHeap SH {..} = do + n <- readPrimVar size + go [] 0 n + where + go !acc !i !n + | i < n + = do + x <- readPrimArray dense i + go (x : acc) (i + 1) n + + | otherwise + = return (reverse acc) + +-- | Drain element from the heap. +-- +-- >>> let insert heap x = modifyWeightSparseHeap heap x (\_ -> - fromIntegral x) >> insertSparseHeap heap x; +-- +-- >>> runST $ do { set <- newSparseHeap 100; mapM_ (insert set) [3,5,7,11,13,11]; drainSparseHeap set } +-- [3,5,7,11,13] +-- +drainSparseHeap :: SparseHeap s -> ST s [Int] +drainSparseHeap heap = go id where + go acc = popSparseHeap_ heap + (return (acc [])) + (\x -> go (acc . (x :))) diff --git a/src/PureSAT/SparseSet.hs b/src/PureSAT/SparseSet.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/SparseSet.hs @@ -0,0 +1,217 @@ +{-# LANGUAGE RecordWildCards #-} +module PureSAT.SparseSet ( + SparseSet (..), + sizeofSparseSet, + indexSparseSet, + newSparseSet, + memberSparseSet, + insertSparseSet, + deleteSparseSet, + popSparseSet, + popSparseSet_, + elemsSparseSet, + clearSparseSet, +) where + +import Data.Primitive.PrimVar + +import PureSAT.Prim +import PureSAT.Base + +-- $setup +-- >>> import Control.Monad.ST (runST) + +-- | https://research.swtch.com/sparse +-- +-- An 'Int' set which support efficient popping ('popSparseSet'). +-- +data SparseSet s = SS + { size :: {-# UNPACK #-} !(PrimVar s Int) + , dense :: {-# UNPACK #-} !(MutablePrimArray s Int) + , sparse :: {-# UNPACK #-} !(MutablePrimArray s Int) + } + +_invariant :: SparseSet s -> ST s () +_invariant SS {..} = do + n <- readPrimVar size + capacity <- getSizeofMutablePrimArray dense + capacity' <- getSizeofMutablePrimArray sparse + + assertST "capacities" (n <= capacity && capacity == capacity') + + go capacity n 0 + where + go capacity n i = + if i >= n + then return () + else do + x <- readPrimArray dense i + assertST "x < capacity" $ x < capacity + j <- readPrimArray sparse x + assertST "i == j" $ i == j + + go capacity n (i + 1) + +checkInvariant :: SparseSet s -> ST s () +-- checkInvariant = _invariant +checkInvariant _ = return () + +-- | Create new sparse set +-- +-- >>> runST $ newSparseSet 100 >>= elemsSparseSet +-- [] +newSparseSet + :: Int -- ^ max integer + -> ST s (SparseSet s) +newSparseSet capacity = do + size <- newPrimVar 0 + dense <- newPrimArray capacity + sparse <- newPrimArray capacity + return SS {..} + +indexSparseSet :: SparseSet s -> Int -> ST s Int +indexSparseSet SS {..} i = readPrimArray dense i + +-- | Size of sparse set. +-- +-- >>> runST $ do { set <- newSparseSet 100; mapM_ (insertSparseSet set) [3,5,7,11,13,11]; sizeofSparseSet set } +-- 5 +-- +sizeofSparseSet :: SparseSet s -> ST s Int +sizeofSparseSet SS {..} = readPrimVar size + +-- | Test for membership +-- +-- >>> runST $ do { set <- newSparseSet 100; mapM_ (insertSparseSet set) [3,5,7,11,13,11]; memberSparseSet set 10 } +-- False +-- +-- >>> runST $ do { set <- newSparseSet 100; mapM_ (insertSparseSet set) [3,5,7,11,13,11]; memberSparseSet set 13 } +-- True +-- +memberSparseSet :: SparseSet s -> Int -> ST s Bool +memberSparseSet set@SS {..} x = do + checkInvariant set + + n <- readPrimVar size + i <- readPrimArray sparse x + if 0 <= i && i < n + then do + x' <- readPrimArray dense i + return (x' == x) + else return False + +-- | Insert into set +-- +-- >>> runST $ do { set <- newSparseSet 100; mapM_ (insertSparseSet set) [3,5,7,11,13,11]; elemsSparseSet set } +-- [3,5,7,11,13] +-- +insertSparseSet :: SparseSet s -> Int -> ST s () +insertSparseSet set@SS {..} x = do + checkInvariant set + + n <- readPrimVar size + i <- readPrimArray sparse x + if 0 <= i && i < n + then do + x' <- readPrimArray dense i + if x == x' then return () else insert n + else insert n + where + {-# INLINE insert #-} + insert n = do + writePrimArray dense n x + writePrimArray sparse x n + writePrimVar size (n + 1) + +-- | Delete from set +-- +-- >>> runST $ do { set <- newSparseSet 100; deleteSparseSet set 10; elemsSparseSet set } +-- [] +-- +-- >>> runST $ do { set <- newSparseSet 100; mapM_ (insertSparseSet set) [3,5,7,11,13,11]; deleteSparseSet set 10; elemsSparseSet set } +-- [3,5,7,11,13] +-- +-- >>> runST $ do { set <- newSparseSet 100; mapM_ (insertSparseSet set) [3,5,7,11,13,11]; deleteSparseSet set 13; elemsSparseSet set } +-- [3,5,7,11] +-- +-- >>> runST $ do { set <- newSparseSet 100; mapM_ (insertSparseSet set) [3,5,7,11,13,11]; deleteSparseSet set 11; elemsSparseSet set } +-- [3,5,7,13] +-- +deleteSparseSet :: SparseSet s -> Int -> ST s () +deleteSparseSet set@SS {..} x = do + checkInvariant set + + n <- readPrimVar size + i <- readPrimArray sparse x + if 0 <= i && i < n + then do + x' <- readPrimArray dense i + if x == x' then delete i n else return () + else return () + where + {-# INLINE delete #-} + delete i n = do + writePrimVar size (n - 1) + swap dense sparse i x (n - 1) + +{-# INLINE swap #-} +swap :: MutablePrimArray s Int -> MutablePrimArray s Int -> Int -> Int -> Int -> ST s () +swap !dense !sparse !i !x !j + | i == j + = return () + + | otherwise = do + -- x <- readPrimArray dense i + y <- readPrimArray dense j + + writePrimArray dense j x + writePrimArray dense i y + writePrimArray sparse x j + writePrimArray sparse y i + +-- | Pop element from the set. +-- +-- >>> runST $ do { set <- newSparseSet 100; mapM_ (insertSparseSet set) [3,5,7,11,13,11]; popSparseSet set } +-- Just 13 +-- +popSparseSet :: SparseSet s -> ST s (Maybe Int) +popSparseSet set = popSparseSet_ set (return Nothing) (return . Just) + +-- by using continuation passing style we can avoid allocating Just constructor. +{-# INLINE popSparseSet_ #-} +popSparseSet_ :: SparseSet s -> ST s r -> (Int -> ST s r) -> ST s r +popSparseSet_ set@SS {..} no yes = do + checkInvariant set + + n <- readPrimVar size + if n <= 0 + then no + else do + let !n' = n - 1 + x <- readPrimArray dense n' + writePrimVar size n' + yes x +-- +-- | Clear sparse set. +-- +-- >>> runST $ do { set <- newSparseSet 100; mapM_ (insertSparseSet set) [3,5,7,11,13,11]; clearSparseSet set; elemsSparseSet set } +-- [] +-- +clearSparseSet :: SparseSet s -> ST s () +clearSparseSet SS {..} = do + writePrimVar size 0 + +-- | Elements of the set +elemsSparseSet :: SparseSet s -> ST s [Int] +elemsSparseSet SS {..} = do + n <- readPrimVar size + go [] 0 n + where + go !acc !i !n + | i < n + = do + x <- readPrimArray dense i + go (x : acc) (i + 1) n + + | otherwise + = return (reverse acc) diff --git a/src/PureSAT/Stats.hs b/src/PureSAT/Stats.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Stats.hs @@ -0,0 +1,62 @@ +module PureSAT.Stats ( + Stats, + newStats, + readStatsConflicts, incrStatsConflicts, + readStatsRestarts, incrStatsRestarts, + readStatsLearnt, incrStatsLearnt, + readStatsClauses, incrStatsClauses, + readStatsLearntLiterals, incrStatsLearntLiterals, +) where + +import PureSAT.Base +import PureSAT.Prim + +------------------------------------------------------------------------------- +-- Stats +------------------------------------------------------------------------------- + +data Stats s = MkStats (MutablePrimArray s Int) + +newStats :: ST s (Stats s) +newStats = MkStats <$> do + arr <- newPrimArray size + setPrimArray arr 0 size 0 + return arr + where + size = 5 + +readStatsConflicts :: Stats s -> ST s Int +incrStatsConflicts :: Stats s -> ST s () +(readStatsConflicts, incrStatsConflicts) = makeStat 0 + +readStatsRestarts :: Stats s -> ST s Int +incrStatsRestarts :: Stats s -> ST s () +(readStatsRestarts, incrStatsRestarts) = makeStat 1 + +readStatsLearnt :: Stats s -> ST s Int +incrStatsLearnt :: Stats s -> ST s () +(readStatsLearnt, incrStatsLearnt) = makeStat 2 + +readStatsClauses :: Stats s -> ST s Int +incrStatsClauses :: Stats s -> ST s () +(readStatsClauses, incrStatsClauses) = makeStat 3 + +readStatsLearntLiterals :: Stats s -> ST s Int +incrStatsLearntLiterals :: Stats s -> Int -> ST s () +(readStatsLearntLiterals, incrStatsLearntLiterals) = makeStatBy 4 + +makeStat :: Int -> (Stats s1 -> ST s1 Int, Stats s2 -> ST s2 ()) +makeStat i = (read_, incr_) + where + read_ (MkStats arr) = readPrimArray arr i + incr_ (MkStats arr) = do + x <- readPrimArray arr i + writePrimArray arr i (x + 1) + +makeStatBy :: Int -> (Stats s1 -> ST s1 Int, Stats s2 -> Int -> ST s2 ()) +makeStatBy i = (read_, incr_) + where + read_ (MkStats arr) = readPrimArray arr i + incr_ (MkStats arr) !n = do + x <- readPrimArray arr i + writePrimArray arr i (x + n) diff --git a/src/PureSAT/Trail.hs b/src/PureSAT/Trail.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Trail.hs @@ -0,0 +1,91 @@ +{-# LANGUAGE CPP #-} +module PureSAT.Trail where + +#define ASSERTING(x) + +import Data.Primitive.PrimVar (PrimVar, newPrimVar, readPrimVar, writePrimVar) + +import PureSAT.Base +import PureSAT.Prim +import PureSAT.Clause2 +import PureSAT.Level +import PureSAT.LitTable +import PureSAT.LitVar +import PureSAT.Utils + +------------------------------------------------------------------------------- +-- Trail +------------------------------------------------------------------------------- + +data Trail s = Trail !(PrimVar s Int) !(MutablePrimArray s Lit) + +newTrail :: Int -> ST s (Trail s) +newTrail capacity = do + size <- newPrimVar 0 + ls <- newPrimArray capacity + return (Trail size ls) + +cloneTrail :: Trail s -> ST s (Trail s) +cloneTrail (Trail size ls) = do + capacity <- getSizeofMutablePrimArray ls + n <- readPrimVar size + size' <- newPrimVar n + ls' <- newPrimArray capacity + copyMutablePrimArray ls' 0 ls 0 n + return (Trail size' ls') + +extendTrail :: Trail s -> Int -> ST s (Trail s) +extendTrail trail@(Trail size ls) newCapacity = do + oldCapacity <- getSizeofMutablePrimArray ls + let capacity = nextPowerOf2 (max oldCapacity newCapacity) + if capacity <= oldCapacity + then return trail + else do + n <- readPrimVar size + size' <- newPrimVar n + ls' <- newPrimArray capacity + copyMutablePrimArray ls' 0 ls 0 n + return (Trail size' ls') + +indexTrail :: Trail s -> Int -> ST s Lit +indexTrail (Trail _ ls) i = readPrimArray ls i + +popTrail :: Trail s -> ST s Lit +popTrail (Trail size ls) = do + n <- readPrimVar size + ASSERTING(assertST "non empty trail" (n >= 1)) + writePrimVar size (n - 1) + readPrimArray ls (n - 1) + +pushTrail :: Lit -> Trail s -> ST s () +pushTrail l (Trail size ls) = do + n <- readPrimVar size + writePrimVar size (n + 1) + writePrimArray ls n l + +traceTrail :: forall s. LitTable s Clause2 -> Levels s -> Trail s -> ST s () +traceTrail reasons levels (Trail size lits) = do + n <- readPrimVar size + out <- go 0 n + traceM $ unlines $ "=== Trail ===" : out + where + go :: Int -> Int -> ST s [String] + go i n + | i >= n + = return ["=== ===== ==="] + + | otherwise + = do + l <- readPrimArray lits i + Level d <- getLevel levels l + c <- readLitTable reasons l + ls <- go (i + 1) n + if isNullClause c + then return ((showChar '@' . shows d . showString " Decided " . showsPrec 11 l) "" : ls) + else return ((showChar '@' . shows d . showString " Deduced " . showsPrec 11 l . showChar ' ' . showsPrec 11 c) "" : ls) + +assertEmptyTrail :: HasCallStack => Trail s -> ST s () +assertEmptyTrail (Trail size _) = do + n <- readPrimVar size + assertST "n == 0" $ n == 0 + return () diff --git a/src/PureSAT/Utils.hs b/src/PureSAT/Utils.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Utils.hs @@ -0,0 +1,23 @@ +module PureSAT.Utils where + +import Control.Monad.ST (ST) +import Data.Bits +import Data.STRef (STRef, readSTRef) + +whenOk :: STRef s Bool -> ST s Bool -> ST s Bool +whenOk ok = whenOk_ (readSTRef ok) + +whenOk_ :: ST s Bool -> ST s Bool -> ST s Bool +whenOk_ ok action = do + ok' <- ok + if ok' then action else return False + +-- | Next power of two. +-- +-- >>> map nextPowerOf2 [-1, 0, 1, 2, 1024, 1245, 9999] +-- [1,1,1,2,1024,2048,16384] +-- +nextPowerOf2 :: Int -> Int +nextPowerOf2 n + | n <= 1 = 1 + | otherwise = unsafeShiftL 1 (finiteBitSize (0 :: Int) - countLeadingZeros (n - 1)) diff --git a/src/PureSAT/VarSet.hs b/src/PureSAT/VarSet.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/VarSet.hs @@ -0,0 +1,97 @@ +{-# LANGUAGE CPP #-} +module PureSAT.VarSet where + +-- #define INTSET_VARS + +import Control.Monad.ST (ST) +import Data.Coerce (coerce) + +import PureSAT.LitVar + +#ifdef INTSET_VARS +import qualified Data.IntSet as IS +import Data.STRef (modifySTRef) +#else +import PureSAT.SparseMaxHeap +#endif + +------------------------------------------------------------------------------- +-- VarSet +------------------------------------------------------------------------------- + +#ifdef INTSET_VARS +newtype VarSet s = VS (STRef s IS.IntSet) + +newVarSet :: ST s (VarSet s) +newVarSet = VS <$> newSTRef IS.empty + +cloneVarSet :: VarSet -> ST s (VarSet s) +cloneVarSet (VS xs) = error "TODO" + +sizeofVarSet :: VarSet s -> ST s Int +sizeofVarSet (VS xs) = IS.size <$> readSTRef xs + +extendVarSet :: Int -> VarSet s -> ST s (VarSet s) +extendVarSet _ x = return x + +weightVarSet :: Var -> (Int -> Int) -> VarSet s -> ST s () +weightVarSet _ _ _ = return () + +insertVarSet :: Var -> VarSet s -> ST s () +insertVarSet (MkVar x) (VS xs) = modifySTRef xs (IS.insert x) + +deleteVarSet :: Var -> VarSet s -> ST s () +deleteVarSet (MkVar x) (VS xs) = modifySTRef xs (IS.delete x) + +clearVarSet :: VarSet s -> ST s () +clearVarSet (VS xs) = writeSTRef xs IS.empty + +minViewVarSet :: VarSet s -> ST s r -> (Var -> ST s r) -> ST s r +minViewVarSet (VS xs) no yes = do + is <- readSTRef xs + case IS.minView is of + Nothing -> no + Just (x, is') -> do + writeSTRef xs is' + yes (MkVar x) + +#else + +newtype VarSet s = VS (SparseHeap s) + +sizeofVarSet :: VarSet s -> ST s Int +sizeofVarSet (VS xs) = sizeofSparseHeap xs + +newVarSet :: ST s (VarSet s) +newVarSet = VS <$> newSparseHeap 0 + +cloneVarSet :: VarSet s -> ST s (VarSet s) +cloneVarSet (VS xs) = VS <$> cloneSparseHeap xs + +extendVarSet :: Int -> VarSet s -> ST s (VarSet s) +extendVarSet capacity (VS xs) = VS <$> extendSparseHeap capacity xs + +weightVarSet :: Var -> (Word -> Word) -> VarSet s -> ST s () +weightVarSet (MkVar x) f (VS xs) = modifyWeightSparseHeap xs x f +{-# INLINE weightVarSet #-} + +scaleVarSet :: VarSet s -> (Word -> Word) -> ST s () +scaleVarSet (VS xs) f = scaleWeightsSparseHeap xs f +{-# INLINE scaleVarSet #-} + +insertVarSet :: Var -> VarSet s -> ST s () +insertVarSet (MkVar x) (VS xs) = do + insertSparseHeap xs x + +deleteVarSet :: Var -> VarSet s -> ST s () +deleteVarSet (MkVar x) (VS xs) = do + deleteSparseHeap xs x + +clearVarSet :: VarSet s -> ST s () +clearVarSet (VS xs) = clearSparseHeap xs + +{-# INLINE minViewVarSet #-} +minViewVarSet :: VarSet s -> ST s r -> (Var -> ST s r) -> ST s r +minViewVarSet (VS xs) no yes = popSparseHeap_ xs no (coerce yes) + +#endif diff --git a/src/PureSAT/Vec.hs b/src/PureSAT/Vec.hs new file mode 100644 --- /dev/null +++ b/src/PureSAT/Vec.hs @@ -0,0 +1,68 @@ +module PureSAT.Vec ( + Vec, + newVec, + sizeofVec, + insertVec, + readVec, + writeVec, + shrinkVec, +) where + +import Data.Primitive.PrimVar +import Unsafe.Coerce (unsafeCoerce) + +import PureSAT.Base +import PureSAT.Utils +import PureSAT.Prim + +data Vec s a = Vec {-# UNPACK #-} !(PrimVar s Int) {-# UNPACK #-} !(MutableArray s a) + +newVec + :: Int -- ^ capacity + -> ST s (Vec s a) +newVec capacity = do + arr <- newArray (nextPowerOf2 (max 64 capacity)) unused + size <- newPrimVar 0 + return (Vec size arr) + +unused :: a +unused = undefined + +sizeofVec :: Vec s a -> ST s Int +sizeofVec (Vec size _) = readPrimVar size +{-# INLINE sizeofVec #-} + +-- | Insert at the end: @push_back@ +-- +-- The new vector may be returned. +-- The vec is done such way, as we use it in mutable context already, +-- so we don't need an extra STRef. +insertVec :: Vec s a -> a -> ST s (Vec s a) +insertVec vec@(Vec sizeRef arr) x = do + size <- readPrimVar sizeRef + let !capacity = sizeofMutableArray arr + if size < capacity + then do + writeArray arr size x + writePrimVar sizeRef (size + 1) + return vec + + else do + new <- newArray (capacity * 2) unused + copyMutableArray new 0 arr 0 size + writeArray new size x + writePrimVar sizeRef (size + 1) + return (Vec sizeRef new) + +readVec :: Vec s a -> Int -> ST s a +readVec (Vec _ arr) i = readArray arr i + +writeVec :: Vec s a -> Int -> a -> ST s () +writeVec (Vec _ arr) i x = writeArray arr i x + +-- | Shrink vector. New size should be smaller than the current. +shrinkVec :: Vec s a -> Int -> ST s () +shrinkVec (Vec sizeRef arr) newSize = do + size <- readPrimVar sizeRef + forM_ [newSize .. size - 1] $ \i -> writeArray arr i unused + writePrimVar sizeRef newSize diff --git a/test/puresat-dimacs.hs b/test/puresat-dimacs.hs new file mode 100644 --- /dev/null +++ b/test/puresat-dimacs.hs @@ -0,0 +1,269 @@ +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# OPTIONS_GHC -Wno-orphans #-} +-- | Problems from +-- https://www.cs.ubc.ca/~hoos/SATLIB/benchm.html +module Main where + +import Control.Monad (forM, forM_, unless) +import Control.Monad.ST (runST) +import Data.Foldable (foldl') +import Data.Primitive (Prim) +import Data.Primitive.PrimArray (newPrimArray, readPrimArray, writePrimArray) +import System.FilePath (()) +import Test.Tasty (TestTree, defaultMain, testGroup) +import Test.Tasty.HUnit (assertBool, testCaseSteps) + +import qualified PureSAT.Main as PureSAT +import qualified PureSAT.DIMACS +import qualified MiniSat + +main :: IO () +main = defaultMain $ testGroup "dpll-dimacs" + [ testGroup "aim" + -- Artificially generated Random-3-SA + [ testSAT "aim" "aim-100-1_6-no-1" + -- more + ] + + , testGroup "ais" + -- All Intervall Series + [ testSAT "ais" "ais6" + , testSAT "ais" "ais8" + , testSAT "ais" "ais10" + , testSAT "ais" "ais12" + ] + + , testGroup "bf" + -- Circuit fault analysis: bridge fault + [ testSAT "bf" "bf0432-007" + , testSAT "bf" "bf1355-075" + , testSAT "bf" "bf1355-638" + , testSAT "bf" "bf2670-001" + ] + + , testGroup "blocksworld" + -- Planning + [ testSAT "blocksworld" "anomaly" + , testSAT "blocksworld" "medium" + , testSAT "blocksworld" "bw_large.a" + , testSAT "blocksworld" "bw_large.b" + , testSAT "blocksworld" "bw_large.c" + ] + + , testGroup "bmc" + -- SAT-encoded bounded model checking intances + [ testSAT "bmc" "bmc-ibm-2" + -- , testSAT "bmc" "bmc-ibm-1" + -- , testSAT "bmc" "bmc-ibm-3" + -- , testSAT "bmc" "bmc-ibm-4" + -- , testSAT "bmc" "bmc-ibm-5" + ] + + , testGroup "dubois" + -- Randomly generated SAT instances + [ testSAT "dubois" "dubois100" + , testSAT "dubois" "dubois20" + -- , testSAT "dubois" "dubois21" + -- , testSAT "dubois" "dubois22" + , testSAT "dubois" "dubois23" + , testSAT "dubois" "dubois24" + , testSAT "dubois" "dubois25" + , testSAT "dubois" "dubois26" + , testSAT "dubois" "dubois27" + , testSAT "dubois" "dubois28" + , testSAT "dubois" "dubois29" + , testSAT "dubois" "dubois30" + , testSAT "dubois" "dubois50" + ] + + -- difficult + -- , testGroup "hanoi" + -- -- SAT-encoding of Towers of Hanoi + -- [ testSAT "hanoi" "hanoi4" + -- , testSAT "hanoi" "hanoi5" + -- ] + + , testGroup "inductive-inference" + -- Instances from a problem in inductive inference + [ testSAT "inductive-inference" "ii8a1" + , testSAT "inductive-inference" "ii8a2" + , testSAT "inductive-inference" "ii8a3" + , testSAT "inductive-inference" "ii8a4" + , testSAT "inductive-inference" "ii8b1" + , testSAT "inductive-inference" "ii8b2" + , testSAT "inductive-inference" "ii8b3" + , testSAT "inductive-inference" "ii8b4" + , testSAT "inductive-inference" "ii8c1" + , testSAT "inductive-inference" "ii8c2" + , testSAT "inductive-inference" "ii8d1" + , testSAT "inductive-inference" "ii8d2" + , testSAT "inductive-inference" "ii8e1" + , testSAT "inductive-inference" "ii8e2" + + -- , testSAT "inductive-inference" "ii16a1" + -- , testSAT "inductive-inference" "ii16a2" + -- , testSAT "inductive-inference" "ii16b1" + -- , testSAT "inductive-inference" "ii16b2" + -- , testSAT "inductive-inference" "ii16c1" + -- , testSAT "inductive-inference" "ii16c2" + -- , testSAT "inductive-inference" "ii16d1" + -- , testSAT "inductive-inference" "ii16d2" + -- , testSAT "inductive-inference" "ii16e1" + -- , testSAT "inductive-inference" "ii16e2" + ] + + , testGroup "logicstics" + -- Planning + [ testSAT "logistics" "logistics.a" + , testSAT "logistics" "logistics.b" + , testSAT "logistics" "logistics.c" + , testSAT "logistics" "logistics.d" + ] + + , testGroup "parity" + -- Instances for problem in learning the parity function + [ testSAT "parity" "par8-1" + , testSAT "parity" "par8-1-c" + , testSAT "parity" "par8-2" + , testSAT "parity" "par8-2-c" + , testSAT "parity" "par8-3" + , testSAT "parity" "par8-3-c" + , testSAT "parity" "par8-4" + , testSAT "parity" "par8-4-c" + , testSAT "parity" "par8-5" + , testSAT "parity" "par8-5-c" + -- , testSAT "parity" "par16-1" + -- , testSAT "parity" "par16-1-c" + ] + + , testGroup "phole" + -- Pigeon hole problem + [ testSAT "phole" "hole6" + , testSAT "phole" "hole7" + , testSAT "phole" "hole8" + ] + + , testGroup "pret" + -- Encoded 2-colouring forced to be unsatisfiable - 8 instances, all unsatisfiable + [ testSAT "pret" "pret60_25" + , testSAT "pret" "pret60_40" + , testSAT "pret" "pret60_60" + , testSAT "pret" "pret60_75" + -- , testSAT "pret" "pret150_25" + -- , testSAT "pret" "pret150_40" + -- , testSAT "pret" "pret150_60" + -- , testSAT "pret" "pret150_75" + ] + + , testGroup "QG" + -- SAT-encoded Quasigroup (or Latin square) instances + [ testSAT "QG" "qg1-07" + , testSAT "QG" "qg2-07" + ] + + , testGroup "ssa" + -- Circuit fault analysis: single-stuck-at fault + [ testSAT "ssa" "ssa0432-003" + , testSAT "ssa" "ssa2670-130" + , testSAT "ssa" "ssa2670-141" + , testSAT "ssa" "ssa6288-047" + , testSAT "ssa" "ssa7552-038" + , testSAT "ssa" "ssa7552-158" + , testSAT "ssa" "ssa7552-159" + , testSAT "ssa" "ssa7552-160" + ] + ] + +testSAT :: FilePath -> FilePath -> TestTree +testSAT dir name = testCaseSteps name $ \info -> do + dimacs <- PureSAT.DIMACS.parseDimacsFile ("dimacs" dir (name ++ ".cnf")) + let solution = solvePureSat dimacs + if null solution + then do + info "UNSAT" + solution' <- solveMiniSat dimacs + assertBool "MiniSat doesnt think its unsat" (null solution') + else do + info "SAT" + solution' <- solveMiniSat $ [[x] | x <- solution] ++ dimacs + assertBool "MiniSat doesnt validate" (not (null solution')) + +------------------------------------------------------------------------------- +-- PureSAT +------------------------------------------------------------------------------- + +solvePureSat :: [[Int]] -> [Int] +solvePureSat clauses = runST $ do + s <- PureSAT.newSolver + + -- create literal + literals <- newPrimArray maxLiteral + forM_ [1..maxLiteral] $ \i -> do + l <- PureSAT.newLit s + writePrimArray literals (i - 1) l + + -- addClauses + forM_ clauses $ \clause -> unless (null clause) $ do + clause' <- forM clause $ \i -> do + l <- readPrimArray literals (abs i - 1) + return $ if i < 0 then PureSAT.neg l else l + + _ <- PureSAT.addClause s clause' + return () + + -- solve + res <- PureSAT.solve s + + -- read back the solution + if res + then do + forM [1..maxLiteral] $ \i -> do + l <- readPrimArray literals (i - 1) + x <- PureSAT.modelValue s l + return $ if x then i else negate i + + else return [] + where + maxLiteral = foldl' (\acc clause -> foldl' (\x y -> max x (abs y)) acc clause) 0 clauses + +solveMiniSat :: [[Int]] -> IO [Int] +solveMiniSat clauses = do + s <- MiniSat.newSolver + + -- create literal + literals <- newPrimArray maxLiteral + forM_ [1..maxLiteral] $ \i -> do + l <- MiniSat.newLit s + writePrimArray literals (i - 1) l + + -- addClauses + forM_ clauses $ \clause -> do + clause' <- forM clause $ \i -> do + l <- readPrimArray literals (abs i - 1) + return $ if i < 0 then MiniSat.neg l else l + + MiniSat.addClause s clause' + + -- solve + res <- MiniSat.solve s [] + + -- read back the solution + if res + then do + forM [1..maxLiteral] $ \i -> do + l <- readPrimArray literals (i - 1) + x <- MiniSat.modelValue s l + return $ case x of + Nothing -> i + Just True -> i + Just False -> negate i + + else return [] + where + maxLiteral = foldl' (\acc clause -> foldl' (\x y -> max x (abs y)) acc clause) 0 clauses + +------------------------------------------------------------------------------- +-- orphans +------------------------------------------------------------------------------- + +deriving newtype instance Prim MiniSat.Lit diff --git a/test/puresat-small.hs b/test/puresat-small.hs new file mode 100644 --- /dev/null +++ b/test/puresat-small.hs @@ -0,0 +1,110 @@ +module Main where + +import Control.Monad (forM_) +import Control.Monad.ST (runST) +import System.Environment (getArgs) +import System.Exit (exitFailure) + +import PureSAT + +main :: IO () +main = do + args <- getArgs + case args of + "pigeonhole" : _ -> main' example2 + "pigeonhole3" : _ -> main' example3 + _ -> main' example1 + +main' :: Bool -> IO () +main' example = do + print example + if example then exitFailure else return () + +-- this example is unsat +example1 :: Bool +example1 = runST $ do + s <- newSolver + + a <- newLit s + b <- newLit s + c <- newLit s + d <- newLit s + e <- newLit s + f <- newLit s + + _ <- addClause s [a, b, c] + _ <- addClause s [a, b, neg c] + _ <- addClause s [neg b, d] + _ <- addClause s [a, neg b, neg d] + _ <- addClause s [neg a, e, f] + _ <- addClause s [neg a, e, neg f] + _ <- addClause s [neg e, neg f] + _ <- addClause s [neg a, neg e, f] + + solve s + +-- pigeonhole: 3 pigeons, 2 holes +example2 :: Bool +example2 = runST $ do + s <- newSolver + + p11 <- newLit s + p12 <- newLit s + p21 <- newLit s + p22 <- newLit s + p31 <- newLit s + p32 <- newLit s + + -- each pigeon is somewhere + _ <- addClause s [p11, p12] + _ <- addClause s [p21, p22] + _ <- addClause s [p31, p32] + + -- there's only one pigeon in each hole + _ <- addClause s [neg p11, neg p21] + _ <- addClause s [neg p21, neg p31] + _ <- addClause s [neg p31, neg p11] + + _ <- addClause s [neg p12, neg p22] + _ <- addClause s [neg p22, neg p32] + _ <- addClause s [neg p32, neg p12] + + solve s + +-- pigeonhole: 4 pigeons, 3 holes +example3 :: Bool +example3 = runST $ do + s <- newSolver + + p11 <- newLit s + p12 <- newLit s + p13 <- newLit s + + p21 <- newLit s + p22 <- newLit s + p23 <- newLit s + + p31 <- newLit s + p32 <- newLit s + p33 <- newLit s + + p41 <- newLit s + p42 <- newLit s + p43 <- newLit s + + -- each pigeon is somewhere + _ <- addClause s [p11, p12, p13] + _ <- addClause s [p21, p22, p23] + _ <- addClause s [p31, p32, p33] + _ <- addClause s [p41, p42, p43] + + -- there's only one pigeon in each hole + _ <- forM_ (pairs [p11, p21, p31, p41]) $ \(x,y) -> addClause s [neg x, neg y] + _ <- forM_ (pairs [p12, p22, p32, p42]) $ \(x,y) -> addClause s [neg x, neg y] + _ <- forM_ (pairs [p13, p23, p33, p43]) $ \(x,y) -> addClause s [neg x, neg y] + + solve s + +pairs :: [a] -> [(a,a)] +pairs [] = [] +pairs (x:xs) = map ((,) x) xs ++ pairs xs diff --git a/test/puresat-test.hs b/test/puresat-test.hs new file mode 100644 --- /dev/null +++ b/test/puresat-test.hs @@ -0,0 +1,231 @@ +{-# LANGUAGE RecordWildCards #-} +module Main where + +import Control.Monad (forM, forM_) +import Data.Maybe (isJust, isNothing) +import Test.Tasty +import Test.Tasty.QuickCheck (testProperty) +import Test.QuickCheck +import Data.Functor ((<&>)) +import Control.Monad.SAT + +-- https://fmv.jku.at/papers/BrummayerLonsingBiere-SAT10.pdf +-- Automated Testing and Debugging of SAT and QBF Solvers + +main :: IO () +main = defaultMain $ testGroup "dpll" + [ testGroup "3Sat" + [ testProperty "yes" $ forAll (threeSatGen 5) runCNFProblem + ] + , testGroup "23Sat" + [ testProperty "yes" $ forAll (twoThreeSatGen 5) runCNFProblem + ] + , testGroup "Prop" + [ testProperty "yes" $ forAll (propGen) runCNFProblemProp + ] + , testProperty "Pigeonhole" $ forAll pigeonholeGen runPigeonhole + ] + + + +------------------------------------------------------------------------------- +-- ProblemCNF +------------------------------------------------------------------------------- + +-- ProblemCNF +data Problem = Problem + { size :: Int + , solution :: [Bool] + , clauses :: [[Int]] + } + deriving Show + +runCNFProblem :: Problem -> Bool +runCNFProblem problem = isJust $ runSATMaybe $ do + lits <- forM (solution problem) $ \_polarity -> newLit + forM_ (clauses problem) $ \c -> do + c' <- forM c $ \l -> do + let polarity = l >= 0 + let literal = lits !! (abs l - 1) + return $ if polarity then literal else neg literal + + addClause c' + + solve_ + +threeSatGen :: Int -> Gen Problem +threeSatGen r = do + size <- clamp (10,20) <$> getSize + solution <- forM [1..size] $ \_ -> arbitrary + let polarity l = if solution !! (abs l - 1) then l else negate l + clauses <- forM [1..size * r] $ \_ -> do + l1 <- chooseInt (1, size) + l2 <- chooseInt (1, size) `suchThat` \l -> l /= l1 + l3 <- chooseInt (1, size) `suchThat` \l -> l /= l1 && l /= l2 + shuffle $ map polarity [l1, negate l2, negate l3] + return Problem {..} + +twoThreeSatGen :: Int -> Gen Problem +twoThreeSatGen r = do + size <- clamp (10,100) <$> getSize + solution <- forM [1..size] $ \_ -> arbitrary + let polarity l = if solution !! (abs l - 1) then l else negate l + + clauses2 <- forM [1..size] $ \_ -> do + l1 <- chooseInt (1, size) + l2 <- chooseInt (1, size) `suchThat` \l -> l /= l1 + shuffle $ map polarity [l1, negate l2] + + clauses3 <- forM [1..size * r] $ \_ -> do + l1 <- chooseInt (1, size) + l2 <- chooseInt (1, size) `suchThat` \l -> l /= l1 + l3 <- chooseInt (1, size) `suchThat` \l -> l /= l1 && l /= l2 + shuffle $ map polarity [l1, negate l2, negate l3] + + let clauses = clauses2 ++ clauses3 + return Problem {..} + +------------------------------------------------------------------------------- +-- Pigeonhole Prob +------------------------------------------------------------------------------- + +data Pigeonhole = Pigeonhole Int [[Int]] + deriving Show + +runPigeonhole :: Pigeonhole -> Bool +runPigeonhole (Pigeonhole n clauses) = isNothing $ runSATMaybe $ do + lits <- forM [1..n] $ \_-> newLit + forM_ clauses $ \c -> do + c' <- forM c $ \l -> do + let polarity = l >= 0 + let literal = lits !! (abs l - 1) + return $ if polarity then literal else neg literal + + addClause c' + + solve_ + +pigeonholeGen :: Gen Pigeonhole +pigeonholeGen = do + n <- clamp (2,4) <$> getSize + let size = n * n + n + let p i j = 1 + j + i * n + let somewhere = [ [ p i j | j <- [ 0 .. n - 1 ] ] | i <- [ 0 .. n ] ] + let onlyone = + [ [ negate (p i k), negate (p j k) ] + | k <- [ 0 .. n - 1 ] + , i <- [ 0 .. n ] + , j <- [ i + 1 .. n ] + ] + let clauses = somewhere ++ onlyone + + return (Pigeonhole size clauses) + +------------------------------------------------------------------------------- +-- ProblemProp +------------------------------------------------------------------------------- + +data P + = V Int + | T + | F + | Neg P + | P :\/: P + | P :/\: P + | P :==: P + deriving Show + +data ProblemProp = ProblemProp + { psize :: Int + , psolution :: [Bool] + , pprop :: P + } + deriving Show + +runCNFProblemProp :: ProblemProp -> Bool +runCNFProblemProp problem = isJust $ runSATMaybe $ do + lits <- forM (psolution problem) $ \_polarity -> newLit + addProp (go lits (pprop problem)) + where + go :: [Lit s] -> P -> Prop s + go lits (V l) = do + let polarity = l >= 0 + let literal = lits !! (abs l - 1) + lit (if polarity then literal else neg literal) + go _ T = true + go _ F = false + go lits (Neg p) = neg (go lits p) + go lits (p :/\: q) = go lits p /\ go lits q + go lits (p :\/: q) = go lits p \/ go lits q + go lits (p :==: q) = go lits p <-> go lits q + +propGen :: Gen ProblemProp +propGen = do + psize <- clamp (10,100) <$> getSize + tmp <- forM [1 .. psize] $ \l -> arbitrary >>= \p -> return (l, p) + let (literals, psolution) = unzip tmp + -- let polarity l = if psolution !! (abs l - 1) then l else negate l + + pprop <- genT (psize * 10) literals + + return ProblemProp {..} + where + genP :: Int -> [Int] -> Gen P + genP n literals + | n <= 0 = elements [T,F] + | n <= 1 = V <$> elements (literals ++ map negate literals) + | otherwise = oneof + [ Neg <$> genP (n - 1) literals + , do + l <- chooseInt (1, n - 1) + let r = n - l + (:/\:) <$> genP l literals <*> genP r literals + , do + l <- chooseInt (1, n - 1) + let r = n - l + (:\/:) <$> genP l literals <*> genP r literals + ] + + genT :: Int -> [Int] -> Gen P + genT n literals + | n <= 0 = return T + | n <= 1 = V <$> elements literals + | otherwise = oneof + [ Neg <$> genF (n - 1) literals + , genP (n - 1) literals <&> \p -> p :==: p + , do + l <- chooseInt (1, n - 1) + let r = n - l + (:/\:) <$> genT l literals <*> genT r literals + , do + l <- chooseInt (1, n - 1) + let r = n - l + (:\/:) <$> genP l literals <*> genT r literals + , do + l <- chooseInt (1, n - 1) + let r = n - l + (:==:) <$> genT l literals <*> genT r literals + , do + l <- chooseInt (1, n - 1) + let r = n - l + (:==:) <$> genT l literals <*> genT r literals + ] + + genF :: Int -> [Int] -> Gen P + genF n literals + | n <= 0 = return F + | n <= 1 = V . negate <$> elements literals + | otherwise = oneof + [ Neg <$> genT (n - 1) literals + , do + l <- chooseInt (1, n - 1) + let r = n - l + (:\/:) <$> genF l literals <*> genF r literals + ] + +------------------------------------------------------------------------------- +-- Utils +------------------------------------------------------------------------------- + +clamp :: Ord a => (a,a) -> a -> a +clamp (l, u) x = max l (min u x)