packages feed

cpsa-4.4.4: tst/subatomic-open-closed_shapes.tst

(comment "CPSA 4.3.1")
(comment "Extracted shapes")

(herald subatomic-open-closed (bound 40))

(comment "CPSA 4.3.1")

(comment "All input read from tst/subatomic-open-closed.scm")

(comment "Strand count bounded at 40")

(defprotocol subatomic-open-closed basic
  (defrole dev-up
    (vars (k skey) (d o name) (old old1 mesg) (start-ch chan)
      (lk ls locn))
    (trace (recv start-ch (cat "power-up" d o k)) (load lk old)
      (load ls old1) (stor lk (cat "st-k" d o k))
      (stor ls (cat "st" d o)) (send (enc "up" k)))
    (auth start-ch)
    (critical-sections (1 4))
    (facts (same-dev ls lk)))
  (defrole owner-power-dev
    (vars (k skey) (d o name) (start-ch chan))
    (trace (send start-ch (cat "power-up" d o k)) (recv (enc "up" k)))
    (conf start-ch))
  (defrole owner-open
    (vars (k skey) (n text) (d o name))
    (trace (send (enc "open" d o n k)) (recv n)))
  (defrole owner-close
    (vars (k skey) (n text) (d o name))
    (trace (send (enc "close" d o n k)) (recv n)))
  (defrole dev-open
    (vars (k skey) (n text) (any mesg) (d o name) (lk ls locn))
    (trace (recv (enc "open" d o n k)) (load ls (cat "st" d any))
      (load lk (cat "st-k" d o k)) (stor ls (cat "st" d o o)) (send n))
    (critical-sections (1 3))
    (gen-st (cat "st-k" d o k) (cat "st" d (cat o o)))
    (facts (same-dev ls lk)))
  (defrole dev-close
    (vars (k skey) (n text) (any mesg) (d o name) (lk ls locn))
    (trace (recv (enc "close" d o n k)) (load lk (cat "st-k" d o k))
      (load ls (cat "st" d any)) (stor ls (cat "st" d o)) (send n))
    (gen-st (cat "st-k" d o k))
    (critical-sections (1 3))
    (facts (same-dev ls lk)))
  (defrole dev-pass
    (vars (k skey) (n text) (d o name) (lk ls locn))
    (trace (load lk (cat "st-k" d o k)) (load ls (cat "st" d o o))
      (recv (enc "may I pass" k)) (send (enc "you may pass" n k)))
    (uniq-orig n)
    (gen-st (cat "st-k" d o k) (cat "st" d (cat o o)))
    (critical-sections (0 1))
    (facts (same-dev ls lk)))
  (defrole user-pass
    (vars (k skey))
    (trace (send (enc "may I pass" k)) (recv (enc "you may pass" k))))
  (defrule power-deliver-once
    (forall ((z1 z2 strd) (k skey))
      (implies
        (and (p "dev-up" z1 2) (p "dev-up" z2 2) (p "dev-up" "k" z1 k)
          (p "dev-up" "k" z2 k))
        (= z1 z2))))
  (defrule same-dev-ls-lk
    (forall ((ls lk lk-0 locn))
      (implies
        (and (fact same-dev ls lk) (fact same-dev ls lk-0))
        (= lk lk-0))))
  (defrule same-dev-lk-ls
    (forall ((lk ls ls-0 locn))
      (implies
        (and (fact same-dev ls lk) (fact same-dev ls-0 lk))
        (= ls ls-0))))
  (defgenrule neqRl_indx
    (forall ((x indx)) (implies (fact neq x x) (false))))
  (defgenrule neqRl_strd
    (forall ((x strd)) (implies (fact neq x x) (false))))
  (defgenrule neqRl_mesg
    (forall ((x mesg)) (implies (fact neq x x) (false))))
  (defgenrule shearsRule
    (forall ((z0 z1 z2 strd) (i0 i1 i2 indx))
      (implies
        (and (trans z0 i0) (trans z1 i1) (trans z2 i2)
          (leads-to z0 i0 z1 i1) (same-locn z0 i0 z2 i2)
          (prec z0 i0 z2 i2))
        (or (and (= z1 z2) (= i1 i2)) (prec z1 i1 z2 i2)))))
  (defgenrule invShearsRule
    (forall ((z0 z1 z2 strd) (i0 i1 i2 indx))
      (implies
        (and (trans z0 i0) (trans z1 i1) (same-locn z0 i0 z1 i1)
          (leads-to z1 i1 z2 i2) (prec z0 i0 z2 i2))
        (or (and (= z0 z1) (= i0 i1)) (prec z0 i0 z1 i1)))))
  (defgenrule fact-dev-up-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-up" z 3) (p "dev-up" "lk" z lk)
          (p "dev-up" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule fact-dev-open-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-open" z 3) (p "dev-open" "lk" z lk)
          (p "dev-open" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule fact-dev-close-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-close" z 3) (p "dev-close" "lk" z lk)
          (p "dev-close" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule fact-dev-pass-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-pass" z 2) (p "dev-pass" "lk" z lk)
          (p "dev-pass" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule trRl_dev-up-at-4
    (forall ((z strd)) (implies (p "dev-up" z 5) (trans z 4))))
  (defgenrule trRl_dev-up-at-3
    (forall ((z strd)) (implies (p "dev-up" z 4) (trans z 3))))
  (defgenrule trRl_dev-up-at-2
    (forall ((z strd)) (implies (p "dev-up" z 5) (trans z 2))))
  (defgenrule trRl_dev-up-at-1
    (forall ((z strd)) (implies (p "dev-up" z 4) (trans z 1))))
  (defgenrule trRl_dev-open-at-3
    (forall ((z strd)) (implies (p "dev-open" z 4) (trans z 3))))
  (defgenrule trRl_dev-open-at-1
    (forall ((z strd)) (implies (p "dev-open" z 4) (trans z 1))))
  (defgenrule trRl_dev-close-at-3
    (forall ((z strd)) (implies (p "dev-close" z 4) (trans z 3))))
  (defgenrule trRl_dev-close-at-2
    (forall ((z strd)) (implies (p "dev-close" z 4) (trans z 2))))
  (defgenrule eff-dev-up-3
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-up" z 4) (prec z 3 z1 i))
        (or (= z z1) (and (p "dev-up" z 5) (prec z 4 z1 i))))))
  (defgenrule cau-dev-up-2
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-up" z 3) (prec z1 i z 2))
        (or (= z z1) (prec z1 i z 1)))))
  (defgenrule cau-dev-open-2
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-open" z 3) (prec z1 i z 2))
        (or (= z z1) (prec z1 i z 1)))))
  (defgenrule cau-dev-close-2
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-close" z 3) (prec z1 i z 2))
        (or (= z z1) (prec z1 i z 1)))))
  (defgenrule cau-dev-pass-1
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-pass" z 2) (prec z1 i z 1))
        (or (= z z1) (prec z1 i z 0)))))
  (defgenrule gen-st-dev-open-1
    (forall ((z strd) (k skey) (o d name))
      (implies
        (and (p "dev-open" z 1) (p "dev-open" "k" z k)
          (p "dev-open" "o" z o) (p "dev-open" "d" z d))
        (gen-st (cat "st-k" d o k)))))
  (defgenrule gen-st-dev-open-0
    (forall ((z strd) (o d name))
      (implies
        (and (p "dev-open" z 1) (p "dev-open" "o" z o)
          (p "dev-open" "d" z d)) (gen-st (cat "st" d o o)))))
  (defgenrule gen-st-dev-close-0
    (forall ((z strd) (k skey) (o d name))
      (implies
        (and (p "dev-close" z 1) (p "dev-close" "k" z k)
          (p "dev-close" "o" z o) (p "dev-close" "d" z d))
        (gen-st (cat "st-k" d o k)))))
  (defgenrule gen-st-dev-pass-1
    (forall ((z strd) (k skey) (o d name))
      (implies
        (and (p "dev-pass" z 1) (p "dev-pass" "k" z k)
          (p "dev-pass" "o" z o) (p "dev-pass" "d" z d))
        (gen-st (cat "st-k" d o k)))))
  (defgenrule gen-st-dev-pass-0
    (forall ((z strd) (o d name))
      (implies
        (and (p "dev-pass" z 1) (p "dev-pass" "o" z o)
          (p "dev-pass" "d" z d)) (gen-st (cat "st" d o o))))))

(defskeleton subatomic-open-closed
  (vars (k skey) (d o name) (start-ch chan))
  (defstrand owner-power-dev 2 (k k) (d d) (o o) (start-ch start-ch))
  (deflistener k)
  (uniq-orig k)
  (conf start-ch)
  (facts (no-state-split))
  (traces ((send start-ch (cat "power-up" d o k)) (recv (enc "up" k)))
    ((recv k) (send k)))
  (label 0)
  (unrealized (0 1) (1 0))
  (preskeleton)
  (origs (k (0 0)))
  (comment "Not a skeleton"))

(comment "Nothing left to do")

(defprotocol subatomic-open-closed basic
  (defrole dev-up
    (vars (k skey) (d o name) (old old1 mesg) (start-ch chan)
      (lk ls locn))
    (trace (recv start-ch (cat "power-up" d o k)) (load lk old)
      (load ls old1) (stor lk (cat "st-k" d o k))
      (stor ls (cat "st" d o)) (send (enc "up" k)))
    (auth start-ch)
    (critical-sections (1 4))
    (facts (same-dev ls lk)))
  (defrole owner-power-dev
    (vars (k skey) (d o name) (start-ch chan))
    (trace (send start-ch (cat "power-up" d o k)) (recv (enc "up" k)))
    (conf start-ch))
  (defrole owner-open
    (vars (k skey) (n text) (d o name))
    (trace (send (enc "open" d o n k)) (recv n)))
  (defrole owner-close
    (vars (k skey) (n text) (d o name))
    (trace (send (enc "close" d o n k)) (recv n)))
  (defrole dev-open
    (vars (k skey) (n text) (any mesg) (d o name) (lk ls locn))
    (trace (recv (enc "open" d o n k)) (load ls (cat "st" d any))
      (load lk (cat "st-k" d o k)) (stor ls (cat "st" d o o)) (send n))
    (critical-sections (1 3))
    (gen-st (cat "st-k" d o k) (cat "st" d (cat o o)))
    (facts (same-dev ls lk)))
  (defrole dev-close
    (vars (k skey) (n text) (any mesg) (d o name) (lk ls locn))
    (trace (recv (enc "close" d o n k)) (load lk (cat "st-k" d o k))
      (load ls (cat "st" d any)) (stor ls (cat "st" d o)) (send n))
    (gen-st (cat "st-k" d o k))
    (critical-sections (1 3))
    (facts (same-dev ls lk)))
  (defrole dev-pass
    (vars (k skey) (n text) (d o name) (lk ls locn))
    (trace (load lk (cat "st-k" d o k)) (load ls (cat "st" d o o))
      (recv (enc "may I pass" k)) (send (enc "you may pass" n k)))
    (uniq-orig n)
    (gen-st (cat "st-k" d o k) (cat "st" d (cat o o)))
    (critical-sections (0 1))
    (facts (same-dev ls lk)))
  (defrole user-pass
    (vars (k skey))
    (trace (send (enc "may I pass" k)) (recv (enc "you may pass" k))))
  (defrule power-deliver-once
    (forall ((z1 z2 strd) (k skey))
      (implies
        (and (p "dev-up" z1 2) (p "dev-up" z2 2) (p "dev-up" "k" z1 k)
          (p "dev-up" "k" z2 k))
        (= z1 z2))))
  (defrule same-dev-ls-lk
    (forall ((ls lk lk-0 locn))
      (implies
        (and (fact same-dev ls lk) (fact same-dev ls lk-0))
        (= lk lk-0))))
  (defrule same-dev-lk-ls
    (forall ((lk ls ls-0 locn))
      (implies
        (and (fact same-dev ls lk) (fact same-dev ls-0 lk))
        (= ls ls-0))))
  (defgenrule neqRl_indx
    (forall ((x indx)) (implies (fact neq x x) (false))))
  (defgenrule neqRl_strd
    (forall ((x strd)) (implies (fact neq x x) (false))))
  (defgenrule neqRl_mesg
    (forall ((x mesg)) (implies (fact neq x x) (false))))
  (defgenrule shearsRule
    (forall ((z0 z1 z2 strd) (i0 i1 i2 indx))
      (implies
        (and (trans z0 i0) (trans z1 i1) (trans z2 i2)
          (leads-to z0 i0 z1 i1) (same-locn z0 i0 z2 i2)
          (prec z0 i0 z2 i2))
        (or (and (= z1 z2) (= i1 i2)) (prec z1 i1 z2 i2)))))
  (defgenrule invShearsRule
    (forall ((z0 z1 z2 strd) (i0 i1 i2 indx))
      (implies
        (and (trans z0 i0) (trans z1 i1) (same-locn z0 i0 z1 i1)
          (leads-to z1 i1 z2 i2) (prec z0 i0 z2 i2))
        (or (and (= z0 z1) (= i0 i1)) (prec z0 i0 z1 i1)))))
  (defgenrule fact-dev-up-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-up" z 3) (p "dev-up" "lk" z lk)
          (p "dev-up" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule fact-dev-open-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-open" z 3) (p "dev-open" "lk" z lk)
          (p "dev-open" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule fact-dev-close-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-close" z 3) (p "dev-close" "lk" z lk)
          (p "dev-close" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule fact-dev-pass-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-pass" z 2) (p "dev-pass" "lk" z lk)
          (p "dev-pass" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule trRl_dev-up-at-4
    (forall ((z strd)) (implies (p "dev-up" z 5) (trans z 4))))
  (defgenrule trRl_dev-up-at-3
    (forall ((z strd)) (implies (p "dev-up" z 4) (trans z 3))))
  (defgenrule trRl_dev-up-at-2
    (forall ((z strd)) (implies (p "dev-up" z 5) (trans z 2))))
  (defgenrule trRl_dev-up-at-1
    (forall ((z strd)) (implies (p "dev-up" z 4) (trans z 1))))
  (defgenrule trRl_dev-open-at-3
    (forall ((z strd)) (implies (p "dev-open" z 4) (trans z 3))))
  (defgenrule trRl_dev-open-at-1
    (forall ((z strd)) (implies (p "dev-open" z 4) (trans z 1))))
  (defgenrule trRl_dev-close-at-3
    (forall ((z strd)) (implies (p "dev-close" z 4) (trans z 3))))
  (defgenrule trRl_dev-close-at-2
    (forall ((z strd)) (implies (p "dev-close" z 4) (trans z 2))))
  (defgenrule eff-dev-up-3
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-up" z 4) (prec z 3 z1 i))
        (or (= z z1) (and (p "dev-up" z 5) (prec z 4 z1 i))))))
  (defgenrule cau-dev-up-2
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-up" z 3) (prec z1 i z 2))
        (or (= z z1) (prec z1 i z 1)))))
  (defgenrule cau-dev-open-2
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-open" z 3) (prec z1 i z 2))
        (or (= z z1) (prec z1 i z 1)))))
  (defgenrule cau-dev-close-2
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-close" z 3) (prec z1 i z 2))
        (or (= z z1) (prec z1 i z 1)))))
  (defgenrule cau-dev-pass-1
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-pass" z 2) (prec z1 i z 1))
        (or (= z z1) (prec z1 i z 0)))))
  (defgenrule gen-st-dev-open-1
    (forall ((z strd) (k skey) (o d name))
      (implies
        (and (p "dev-open" z 1) (p "dev-open" "k" z k)
          (p "dev-open" "o" z o) (p "dev-open" "d" z d))
        (gen-st (cat "st-k" d o k)))))
  (defgenrule gen-st-dev-open-0
    (forall ((z strd) (o d name))
      (implies
        (and (p "dev-open" z 1) (p "dev-open" "o" z o)
          (p "dev-open" "d" z d)) (gen-st (cat "st" d o o)))))
  (defgenrule gen-st-dev-close-0
    (forall ((z strd) (k skey) (o d name))
      (implies
        (and (p "dev-close" z 1) (p "dev-close" "k" z k)
          (p "dev-close" "o" z o) (p "dev-close" "d" z d))
        (gen-st (cat "st-k" d o k)))))
  (defgenrule gen-st-dev-pass-1
    (forall ((z strd) (k skey) (o d name))
      (implies
        (and (p "dev-pass" z 1) (p "dev-pass" "k" z k)
          (p "dev-pass" "o" z o) (p "dev-pass" "d" z d))
        (gen-st (cat "st-k" d o k)))))
  (defgenrule gen-st-dev-pass-0
    (forall ((z strd) (o d name))
      (implies
        (and (p "dev-pass" z 1) (p "dev-pass" "o" z o)
          (p "dev-pass" "d" z d)) (gen-st (cat "st" d o o))))))

(defskeleton subatomic-open-closed
  (vars (k skey) (n text) (d o name) (pt pt-0 pval) (lk ls locn))
  (defstrand dev-pass 4 (k k) (n n) (d d) (o o) (lk lk) (ls ls))
  (uniq-orig n)
  (facts (no-state-split))
  (traces
    ((load lk (cat pt "st-k" d o k)) (load ls (cat pt-0 "st" d o o))
      (recv (enc "may I pass" k)) (send (enc "you may pass" n k))))
  (label 3)
  (realized)
  (origs (n (0 3)))
  (comment "Not closed under rules"))

(defskeleton subatomic-open-closed
  (vars (old old1 any mesg) (k skey) (n n-0 text) (d o name)
    (pt pt-0 pt-1 pt-2 pt-3 pt-4 pval) (start-ch chan) (ls lk locn))
  (defstrand dev-pass 4 (k k) (n n) (d d) (o o) (lk lk) (ls ls))
  (defstrand dev-up 5 (old old) (old1 old1) (k k) (d d) (o o)
    (start-ch start-ch) (lk lk) (ls ls))
  (defstrand owner-power-dev 1 (k k) (d d) (o o) (start-ch start-ch))
  (defstrand dev-open 4 (any any) (k k) (n n-0) (d d) (o o) (lk lk)
    (ls ls))
  (precedes ((1 4) (3 1)) ((2 0) (1 0)) ((3 3) (0 0)))
  (uniq-orig n)
  (gen-st (cat "st" d o o) (cat "st-k" d o k))
  (conf start-ch)
  (auth start-ch)
  (facts (same-dev ls lk) (trans 3 3) (trans 3 1) (trans 1 4)
    (trans 1 2) (trans 1 3) (trans 1 1) (no-state-split))
  (operation channel-test (displaced 4 1 dev-up 4)
    (ch-msg lk (cat pt-5 "st-k" d o k-0)) (3 2))
  (traces
    ((load lk (cat pt-2 "st-k" d o k)) (load ls (cat pt "st" d o o))
      (recv (enc "may I pass" k)) (send (enc "you may pass" n k)))
    ((recv start-ch (cat "power-up" d o k)) (load lk (cat pt-0 old))
      (load ls (cat pt-1 old1)) (stor lk (cat pt-2 "st-k" d o k))
      (stor ls (cat pt-3 "st" d o)))
    ((send start-ch (cat "power-up" d o k)))
    ((recv (enc "open" d o n-0 k)) (load ls (cat pt-4 "st" d any))
      (load lk (cat pt-2 "st-k" d o k)) (stor ls (cat pt "st" d o o))))
  (label 8)
  (parent 3)
  (realized)
  (shape)
  (maps
    ((0) ((k k) (n n) (d d) (o o) (lk lk) (ls ls) (pt pt-2) (pt-0 pt))))
  (origs (pt-2 (1 3)) (pt (3 3)) (pt-3 (1 4)) (n (0 3))))

(comment "Nothing left to do")

(defprotocol subatomic-open-closed basic
  (defrole dev-up
    (vars (k skey) (d o name) (old old1 mesg) (start-ch chan)
      (lk ls locn))
    (trace (recv start-ch (cat "power-up" d o k)) (load lk old)
      (load ls old1) (stor lk (cat "st-k" d o k))
      (stor ls (cat "st" d o)) (send (enc "up" k)))
    (auth start-ch)
    (critical-sections (1 4))
    (facts (same-dev ls lk)))
  (defrole owner-power-dev
    (vars (k skey) (d o name) (start-ch chan))
    (trace (send start-ch (cat "power-up" d o k)) (recv (enc "up" k)))
    (conf start-ch))
  (defrole owner-open
    (vars (k skey) (n text) (d o name))
    (trace (send (enc "open" d o n k)) (recv n)))
  (defrole owner-close
    (vars (k skey) (n text) (d o name))
    (trace (send (enc "close" d o n k)) (recv n)))
  (defrole dev-open
    (vars (k skey) (n text) (any mesg) (d o name) (lk ls locn))
    (trace (recv (enc "open" d o n k)) (load ls (cat "st" d any))
      (load lk (cat "st-k" d o k)) (stor ls (cat "st" d o o)) (send n))
    (critical-sections (1 3))
    (gen-st (cat "st-k" d o k) (cat "st" d (cat o o)))
    (facts (same-dev ls lk)))
  (defrole dev-close
    (vars (k skey) (n text) (any mesg) (d o name) (lk ls locn))
    (trace (recv (enc "close" d o n k)) (load lk (cat "st-k" d o k))
      (load ls (cat "st" d any)) (stor ls (cat "st" d o)) (send n))
    (gen-st (cat "st-k" d o k))
    (critical-sections (1 3))
    (facts (same-dev ls lk)))
  (defrole dev-pass
    (vars (k skey) (n text) (d o name) (lk ls locn))
    (trace (load lk (cat "st-k" d o k)) (load ls (cat "st" d o o))
      (recv (enc "may I pass" k)) (send (enc "you may pass" n k)))
    (uniq-orig n)
    (gen-st (cat "st-k" d o k) (cat "st" d (cat o o)))
    (critical-sections (0 1))
    (facts (same-dev ls lk)))
  (defrole user-pass
    (vars (k skey))
    (trace (send (enc "may I pass" k)) (recv (enc "you may pass" k))))
  (defrule power-deliver-once
    (forall ((z1 z2 strd) (k skey))
      (implies
        (and (p "dev-up" z1 2) (p "dev-up" z2 2) (p "dev-up" "k" z1 k)
          (p "dev-up" "k" z2 k))
        (= z1 z2))))
  (defrule same-dev-ls-lk
    (forall ((ls lk lk-0 locn))
      (implies
        (and (fact same-dev ls lk) (fact same-dev ls lk-0))
        (= lk lk-0))))
  (defrule same-dev-lk-ls
    (forall ((lk ls ls-0 locn))
      (implies
        (and (fact same-dev ls lk) (fact same-dev ls-0 lk))
        (= ls ls-0))))
  (defgenrule neqRl_indx
    (forall ((x indx)) (implies (fact neq x x) (false))))
  (defgenrule neqRl_strd
    (forall ((x strd)) (implies (fact neq x x) (false))))
  (defgenrule neqRl_mesg
    (forall ((x mesg)) (implies (fact neq x x) (false))))
  (defgenrule shearsRule
    (forall ((z0 z1 z2 strd) (i0 i1 i2 indx))
      (implies
        (and (trans z0 i0) (trans z1 i1) (trans z2 i2)
          (leads-to z0 i0 z1 i1) (same-locn z0 i0 z2 i2)
          (prec z0 i0 z2 i2))
        (or (and (= z1 z2) (= i1 i2)) (prec z1 i1 z2 i2)))))
  (defgenrule invShearsRule
    (forall ((z0 z1 z2 strd) (i0 i1 i2 indx))
      (implies
        (and (trans z0 i0) (trans z1 i1) (same-locn z0 i0 z1 i1)
          (leads-to z1 i1 z2 i2) (prec z0 i0 z2 i2))
        (or (and (= z0 z1) (= i0 i1)) (prec z0 i0 z1 i1)))))
  (defgenrule fact-dev-up-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-up" z 3) (p "dev-up" "lk" z lk)
          (p "dev-up" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule fact-dev-open-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-open" z 3) (p "dev-open" "lk" z lk)
          (p "dev-open" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule fact-dev-close-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-close" z 3) (p "dev-close" "lk" z lk)
          (p "dev-close" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule fact-dev-pass-same-dev0
    (forall ((z strd) (lk ls locn))
      (implies
        (and (p "dev-pass" z 2) (p "dev-pass" "lk" z lk)
          (p "dev-pass" "ls" z ls)) (fact same-dev ls lk))))
  (defgenrule trRl_dev-up-at-4
    (forall ((z strd)) (implies (p "dev-up" z 5) (trans z 4))))
  (defgenrule trRl_dev-up-at-3
    (forall ((z strd)) (implies (p "dev-up" z 4) (trans z 3))))
  (defgenrule trRl_dev-up-at-2
    (forall ((z strd)) (implies (p "dev-up" z 5) (trans z 2))))
  (defgenrule trRl_dev-up-at-1
    (forall ((z strd)) (implies (p "dev-up" z 4) (trans z 1))))
  (defgenrule trRl_dev-open-at-3
    (forall ((z strd)) (implies (p "dev-open" z 4) (trans z 3))))
  (defgenrule trRl_dev-open-at-1
    (forall ((z strd)) (implies (p "dev-open" z 4) (trans z 1))))
  (defgenrule trRl_dev-close-at-3
    (forall ((z strd)) (implies (p "dev-close" z 4) (trans z 3))))
  (defgenrule trRl_dev-close-at-2
    (forall ((z strd)) (implies (p "dev-close" z 4) (trans z 2))))
  (defgenrule eff-dev-up-3
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-up" z 4) (prec z 3 z1 i))
        (or (= z z1) (and (p "dev-up" z 5) (prec z 4 z1 i))))))
  (defgenrule cau-dev-up-2
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-up" z 3) (prec z1 i z 2))
        (or (= z z1) (prec z1 i z 1)))))
  (defgenrule cau-dev-open-2
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-open" z 3) (prec z1 i z 2))
        (or (= z z1) (prec z1 i z 1)))))
  (defgenrule cau-dev-close-2
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-close" z 3) (prec z1 i z 2))
        (or (= z z1) (prec z1 i z 1)))))
  (defgenrule cau-dev-pass-1
    (forall ((z z1 strd) (i indx))
      (implies (and (p "dev-pass" z 2) (prec z1 i z 1))
        (or (= z z1) (prec z1 i z 0)))))
  (defgenrule gen-st-dev-open-1
    (forall ((z strd) (k skey) (o d name))
      (implies
        (and (p "dev-open" z 1) (p "dev-open" "k" z k)
          (p "dev-open" "o" z o) (p "dev-open" "d" z d))
        (gen-st (cat "st-k" d o k)))))
  (defgenrule gen-st-dev-open-0
    (forall ((z strd) (o d name))
      (implies
        (and (p "dev-open" z 1) (p "dev-open" "o" z o)
          (p "dev-open" "d" z d)) (gen-st (cat "st" d o o)))))
  (defgenrule gen-st-dev-close-0
    (forall ((z strd) (k skey) (o d name))
      (implies
        (and (p "dev-close" z 1) (p "dev-close" "k" z k)
          (p "dev-close" "o" z o) (p "dev-close" "d" z d))
        (gen-st (cat "st-k" d o k)))))
  (defgenrule gen-st-dev-pass-1
    (forall ((z strd) (k skey) (o d name))
      (implies
        (and (p "dev-pass" z 1) (p "dev-pass" "k" z k)
          (p "dev-pass" "o" z o) (p "dev-pass" "d" z d))
        (gen-st (cat "st-k" d o k)))))
  (defgenrule gen-st-dev-pass-0
    (forall ((z strd) (o d name))
      (implies
        (and (p "dev-pass" z 1) (p "dev-pass" "o" z o)
          (p "dev-pass" "d" z d)) (gen-st (cat "st" d o o))))))

(defskeleton subatomic-open-closed
  (vars (k skey) (n text) (d o d-0 o-0 name) (pt pt-0 pval)
    (start-ch chan) (lk ls locn))
  (defstrand owner-power-dev 2 (k k) (d d) (o o) (start-ch start-ch))
  (defstrand dev-pass 4 (k k) (n n) (d d-0) (o o-0) (lk lk) (ls ls))
  (uniq-orig k n)
  (conf start-ch)
  (facts (no-state-split))
  (traces ((send start-ch (cat "power-up" d o k)) (recv (enc "up" k)))
    ((load lk (cat pt "st-k" d-0 o-0 k))
      (load ls (cat pt-0 "st" d-0 o-0 o-0)) (recv (enc "may I pass" k))
      (send (enc "you may pass" n k))))
  (label 9)
  (unrealized (0 1) (1 0) (1 2))
  (preskeleton)
  (origs (n (1 3)) (k (0 0)))
  (comment "Not a skeleton"))

(defskeleton subatomic-open-closed
  (vars (any old old1 mesg) (k skey) (n n-0 text) (d o name)
    (pt pt-0 pt-1 pt-2 pt-3 pt-4 pval) (start-ch chan) (lk ls locn))
  (defstrand owner-power-dev 2 (k k) (d d) (o o) (start-ch start-ch))
  (defstrand dev-pass 4 (k k) (n n) (d d) (o o) (lk lk) (ls ls))
  (defstrand dev-open 4 (any any) (k k) (n n-0) (d d) (o o) (lk lk)
    (ls ls))
  (defstrand owner-open 1 (k k) (n n-0) (d d) (o o))
  (defstrand user-pass 1 (k k))
  (defstrand dev-up 6 (old old) (old1 old1) (k k) (d d) (o o)
    (start-ch start-ch) (lk lk) (ls ls))
  (precedes ((0 0) (5 0)) ((2 3) (1 0)) ((3 0) (2 0)) ((4 0) (1 2))
    ((5 4) (2 1)) ((5 5) (0 1)))
  (uniq-orig k n)
  (gen-st (cat "st" d o o) (cat "st-k" d o k))
  (conf start-ch)
  (auth start-ch)
  (facts (same-dev ls lk) (trans 2 3) (trans 2 1) (trans 5 4)
    (trans 5 2) (trans 5 3) (trans 5 1) (no-state-split))
  (operation encryption-test (displaced 2 6 dev-up 6) (enc "up" k)
    (0 1))
  (traces ((send start-ch (cat "power-up" d o k)) (recv (enc "up" k)))
    ((load lk (cat pt-3 "st-k" d o k)) (load ls (cat pt "st" d o o))
      (recv (enc "may I pass" k)) (send (enc "you may pass" n k)))
    ((recv (enc "open" d o n-0 k)) (load ls (cat pt-0 "st" d any))
      (load lk (cat pt-3 "st-k" d o k)) (stor ls (cat pt "st" d o o)))
    ((send (enc "open" d o n-0 k))) ((send (enc "may I pass" k)))
    ((recv start-ch (cat "power-up" d o k)) (load lk (cat pt-1 old))
      (load ls (cat pt-2 old1)) (stor lk (cat pt-3 "st-k" d o k))
      (stor ls (cat pt-4 "st" d o)) (send (enc "up" k))))
  (label 21)
  (parent 9)
  (realized)
  (shape)
  (maps
    ((0 1)
      ((k k) (d d) (o o) (start-ch start-ch) (n n) (d-0 d) (o-0 o)
        (lk lk) (ls ls) (pt pt-3) (pt-0 pt))))
  (origs (pt-3 (5 3)) (pt-4 (5 4)) (pt (2 3)) (n (1 3)) (k (0 0))))

(comment "Nothing left to do")