TSTP Solution File: CSR022+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR022+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 21:36:26 EDT 2023
% Result : Theorem 15.12s 2.83s
% Output : Proof 17.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR022+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 10:51:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.63 ________ _____
% 0.20/0.63 ___ __ \_________(_)________________________________
% 0.20/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.63
% 0.20/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.63 (2023-06-19)
% 0.20/0.63
% 0.20/0.63 (c) Philipp Rümmer, 2009-2023
% 0.20/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.63 Amanda Stjerna.
% 0.20/0.63 Free software under BSD-3-Clause.
% 0.20/0.63
% 0.20/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.63
% 0.20/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.64 Running up to 7 provers in parallel.
% 0.20/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.49/1.21 Prover 4: Preprocessing ...
% 3.71/1.21 Prover 1: Preprocessing ...
% 3.89/1.25 Prover 6: Preprocessing ...
% 3.89/1.25 Prover 3: Preprocessing ...
% 3.89/1.25 Prover 5: Preprocessing ...
% 3.89/1.25 Prover 2: Preprocessing ...
% 3.89/1.26 Prover 0: Preprocessing ...
% 7.92/1.80 Prover 5: Proving ...
% 8.67/1.89 Prover 3: Constructing countermodel ...
% 8.67/1.89 Prover 1: Constructing countermodel ...
% 8.89/1.98 Prover 6: Proving ...
% 8.89/2.10 Prover 3: gave up
% 8.89/2.11 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.89/2.12 Prover 4: Constructing countermodel ...
% 10.01/2.14 Prover 1: gave up
% 10.01/2.14 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.01/2.15 Prover 6: gave up
% 10.01/2.17 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 10.01/2.17 Prover 7: Preprocessing ...
% 10.01/2.17 Prover 0: Proving ...
% 10.01/2.20 Prover 8: Preprocessing ...
% 10.91/2.24 Prover 9: Preprocessing ...
% 12.54/2.44 Prover 2: Proving ...
% 12.54/2.47 Prover 8: Warning: ignoring some quantifiers
% 12.54/2.49 Prover 8: Constructing countermodel ...
% 13.73/2.60 Prover 9: Constructing countermodel ...
% 13.73/2.61 Prover 7: Warning: ignoring some quantifiers
% 13.73/2.65 Prover 7: Constructing countermodel ...
% 13.73/2.66 Prover 8: gave up
% 13.73/2.66 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.50/2.75 Prover 10: Preprocessing ...
% 15.12/2.83 Prover 2: proved (2171ms)
% 15.12/2.83
% 15.12/2.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.12/2.83
% 15.12/2.83 Prover 9: stopped
% 15.12/2.83 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.12/2.83 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 15.52/2.83 Prover 5: stopped
% 15.52/2.85 Prover 0: stopped
% 15.52/2.85 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 15.52/2.85 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 15.52/2.87 Prover 11: Preprocessing ...
% 15.52/2.88 Prover 13: Preprocessing ...
% 15.52/2.90 Prover 16: Preprocessing ...
% 15.52/2.90 Prover 19: Preprocessing ...
% 16.23/2.95 Prover 7: Found proof (size 14)
% 16.23/2.95 Prover 7: proved (834ms)
% 16.23/2.95 Prover 4: stopped
% 16.23/2.95 Prover 16: stopped
% 16.23/2.95 Prover 11: stopped
% 16.69/3.04 Prover 19: Warning: ignoring some quantifiers
% 16.69/3.05 Prover 19: Constructing countermodel ...
% 16.69/3.06 Prover 10: Warning: ignoring some quantifiers
% 17.19/3.06 Prover 19: stopped
% 17.25/3.07 Prover 10: Constructing countermodel ...
% 17.25/3.08 Prover 10: stopped
% 17.25/3.10 Prover 13: Warning: ignoring some quantifiers
% 17.42/3.12 Prover 13: Constructing countermodel ...
% 17.42/3.12 Prover 13: stopped
% 17.42/3.13
% 17.42/3.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.42/3.13
% 17.42/3.13 % SZS output start Proof for theBenchmark
% 17.52/3.14 Assumptions after simplification:
% 17.52/3.14 ---------------------------------
% 17.52/3.14
% 17.52/3.14 (happens_all_defn)
% 17.52/3.16 $i(n2) & $i(pull) & $i(push) & $i(n1) & $i(n0) & happens(pull, n2) &
% 17.52/3.16 happens(pull, n1) & happens(push, n2) & happens(push, n0) & ! [v0: $i] : !
% 17.52/3.16 [v1: $i] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = pull | ~ $i(v1) | ~ $i(v0) |
% 17.52/3.16 ~ happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v1 = n1 | v1 =
% 17.52/3.16 n0 | v0 = push | ~ $i(v1) | ~ $i(v0) | ~ happens(v0, v1)) & ! [v0: $i] :
% 17.52/3.16 ! [v1: $i] : (v1 = n2 | v1 = n1 | v1 = n0 | ~ $i(v1) | ~ $i(v0) | ~
% 17.52/3.16 happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v1 = n1 | v0 =
% 17.52/3.16 pull | v0 = push | ~ $i(v1) | ~ $i(v0) | ~ happens(v0, v1)) & ! [v0: $i]
% 17.52/3.16 : ! [v1: $i] : (v1 = n2 | v1 = n1 | v0 = push | ~ $i(v1) | ~ $i(v0) | ~
% 17.52/3.16 happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v1 = n0 | v0 =
% 17.52/3.16 pull | v0 = push | ~ $i(v1) | ~ $i(v0) | ~ happens(v0, v1)) & ! [v0: $i]
% 17.52/3.16 : ! [v1: $i] : (v1 = n2 | v1 = n0 | v0 = pull | ~ $i(v1) | ~ $i(v0) | ~
% 17.52/3.16 happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v0 = pull | v0 =
% 17.52/3.16 push | ~ $i(v1) | ~ $i(v0) | ~ happens(v0, v1)) & ! [v0: $i] : ! [v1:
% 17.52/3.16 $i] : (v1 = n1 | v1 = n0 | v0 = pull | v0 = push | ~ $i(v1) | ~ $i(v0) |
% 17.52/3.16 ~ happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v1 = n1 | v0 = pull | v0 =
% 17.52/3.16 push | ~ $i(v1) | ~ $i(v0) | ~ happens(v0, v1)) & ! [v0: $i] : ! [v1:
% 17.52/3.16 $i] : (v1 = n0 | v0 = pull | v0 = push | ~ $i(v1) | ~ $i(v0) | ~
% 17.52/3.16 happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v0 = pull | v0 = push | ~
% 17.52/3.16 $i(v1) | ~ $i(v0) | ~ happens(v0, v1))
% 17.52/3.16
% 17.52/3.16 (happens_terminates_not_holds)
% 17.52/3.18 $i(n1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (plus(v1,
% 17.52/3.18 n1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ holdsAt(v2, v3) | ~
% 17.52/3.18 terminates(v0, v2, v1) | ~ happens(v0, v1))
% 17.52/3.18
% 17.52/3.18 (less2)
% 17.52/3.19 $i(n2) & $i(n1) & ! [v0: $i] : ( ~ $i(v0) | ~ less_or_equal(v0, n1) |
% 17.52/3.19 less(v0, n2)) & ! [v0: $i] : ( ~ $i(v0) | ~ less(v0, n2) |
% 17.52/3.19 less_or_equal(v0, n1))
% 17.52/3.19
% 17.52/3.19 (less3)
% 17.52/3.19 $i(n3) & $i(n2) & ! [v0: $i] : ( ~ $i(v0) | ~ less_or_equal(v0, n2) |
% 17.52/3.19 less(v0, n3)) & ! [v0: $i] : ( ~ $i(v0) | ~ less(v0, n3) |
% 17.52/3.19 less_or_equal(v0, n2))
% 17.52/3.19
% 17.52/3.19 (not_forwards_3)
% 17.52/3.19 $i(n3) & $i(forwards) & holdsAt(forwards, n3)
% 17.52/3.19
% 17.52/3.19 (plus1_2)
% 17.52/3.19 plus(n1, n2) = n3 & $i(n3) & $i(n2) & $i(n1)
% 17.52/3.19
% 17.52/3.19 (push_not_pull)
% 17.52/3.19 ~ (pull = push) & $i(pull) & $i(push)
% 17.52/3.19
% 17.52/3.19 (symmetry_of_plus)
% 17.52/3.19 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (plus(v1, v0) = v2) | ~ $i(v1)
% 17.52/3.19 | ~ $i(v0) | (plus(v0, v1) = v2 & $i(v2))) & ! [v0: $i] : ! [v1: $i] : !
% 17.52/3.19 [v2: $i] : ( ~ (plus(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | (plus(v1, v0) =
% 17.52/3.19 v2 & $i(v2)))
% 17.52/3.19
% 17.52/3.19 (terminates_all_defn)
% 17.96/3.22 $i(spinning) & $i(backwards) & $i(pull) & $i(forwards) & $i(push) & ! [v0:
% 17.96/3.22 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 =
% 17.96/3.22 forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 17.96/3.22 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] :
% 17.96/3.22 ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0
% 17.96/3.22 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.22 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.22 spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~
% 17.96/3.22 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push,
% 17.96/3.22 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 =
% 17.96/3.22 backwards | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) |
% 17.96/3.22 ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 17.96/3.22 $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~
% 17.96/3.22 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.22 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : !
% 17.96/3.22 [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~
% 17.96/3.22 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.22 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 17.96/3.22 $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~
% 17.96/3.22 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.22 happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.22 spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ $i(v2) | ~
% 17.96/3.22 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & !
% 17.96/3.22 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 =
% 17.96/3.22 forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0,
% 17.96/3.22 v1, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 17.96/3.22 (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ $i(v2) | ~
% 17.96/3.22 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1: $i]
% 17.96/3.22 : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push |
% 17.96/3.22 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.22 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : !
% 17.96/3.22 [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~
% 17.96/3.22 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.22 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 17.96/3.22 $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~
% 17.96/3.22 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.22 happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.22 spinning | v1 = backwards | v1 = forwards | v0 = push | ~ $i(v2) | ~
% 17.96/3.22 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & !
% 17.96/3.22 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 =
% 17.96/3.22 forwards | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0,
% 17.96/3.22 v1, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 17.96/3.22 (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ $i(v2) | ~
% 17.96/3.22 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1: $i]
% 17.96/3.22 : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ $i(v2) |
% 17.96/3.22 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~
% 17.96/3.22 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.22 spinning | v1 = backwards | v1 = forwards | ~ $i(v2) | ~ $i(v1) | ~
% 17.96/3.22 $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push,
% 17.96/3.22 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 =
% 17.96/3.22 backwards | v1 = forwards | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 17.96/3.22 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] :
% 17.96/3.22 ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ $i(v2) | ~
% 17.96/3.22 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & !
% 17.96/3.22 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 =
% 17.96/3.22 forwards | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) |
% 17.96/3.22 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.22 spinning | v1 = backwards | v1 = forwards | ~ $i(v2) | ~ $i(v1) | ~
% 17.96/3.22 $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 17.96/3.22 $i] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ $i(v2) |
% 17.96/3.22 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~
% 17.96/3.22 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.22 spinning | v1 = backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) |
% 17.96/3.22 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push,
% 17.96/3.22 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 =
% 17.96/3.22 backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 17.96/3.22 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] :
% 17.96/3.22 ! [v2: $i] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~
% 17.96/3.22 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.22 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.22 spinning | v1 = backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) |
% 17.96/3.23 ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0: $i] : !
% 17.96/3.23 [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v0 = pull | v0 =
% 17.96/3.23 push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & !
% 17.96/3.23 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v0 =
% 17.96/3.23 pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : !
% 17.96/3.23 [v2: $i] : (v1 = spinning | v1 = backwards | v0 = pull | ~ $i(v2) | ~ $i(v1)
% 17.96/3.23 | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) |
% 17.96/3.23 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.23 spinning | v1 = backwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 17.96/3.23 ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i]
% 17.96/3.23 : ! [v2: $i] : (v1 = spinning | v1 = backwards | v0 = pull | ~ $i(v2) | ~
% 17.96/3.23 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & !
% 17.96/3.23 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v0 =
% 17.96/3.23 pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) |
% 17.96/3.23 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.23 spinning | v1 = backwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 17.96/3.23 ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.23 spinning | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) |
% 17.96/3.23 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~
% 17.96/3.23 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.23 spinning | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) |
% 17.96/3.23 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push,
% 17.96/3.23 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 =
% 17.96/3.23 forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 17.96/3.23 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] :
% 17.96/3.23 ! [v2: $i] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~
% 17.96/3.23 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.23 spinning | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) |
% 17.96/3.23 ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0: $i] : !
% 17.96/3.23 [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = forwards | v0 = pull | v0 =
% 17.96/3.23 push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & !
% 17.96/3.23 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = forwards | v0 =
% 17.96/3.23 pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : !
% 17.96/3.23 [v2: $i] : (v1 = spinning | v1 = forwards | v0 = pull | ~ $i(v2) | ~ $i(v1)
% 17.96/3.23 | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) |
% 17.96/3.23 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.23 spinning | v1 = forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 17.96/3.23 ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i]
% 17.96/3.23 : ! [v2: $i] : (v1 = spinning | v1 = forwards | v0 = push | ~ $i(v2) | ~
% 17.96/3.23 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) |
% 17.96/3.23 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.23 spinning | v1 = forwards | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 17.96/3.23 ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] :
% 17.96/3.23 ! [v2: $i] : (v1 = spinning | v1 = forwards | ~ $i(v2) | ~ $i(v1) | ~
% 17.96/3.23 $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push,
% 17.96/3.23 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v0 =
% 17.96/3.23 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1,
% 17.96/3.23 v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1:
% 17.96/3.23 $i] : ! [v2: $i] : (v1 = spinning | v0 = pull | v0 = push | ~ $i(v2) | ~
% 17.96/3.23 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) |
% 17.96/3.23 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.23 spinning | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 17.96/3.23 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] :
% 17.96/3.23 ! [v2: $i] : (v1 = spinning | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) |
% 17.96/3.23 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0: $i]
% 17.96/3.23 : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v0 = pull | v0 = push | ~
% 17.96/3.23 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push,
% 17.96/3.23 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v0 =
% 17.96/3.23 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1,
% 17.96/3.23 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v0 =
% 17.96/3.23 pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : !
% 17.96/3.23 [v2: $i] : (v1 = spinning | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 17.96/3.23 terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0:
% 17.96/3.23 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v0 = pull | ~ $i(v2) |
% 17.96/3.23 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) &
% 17.96/3.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0
% 17.96/3.23 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0,
% 17.96/3.23 v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : !
% 17.96/3.23 [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0 = pull | v0 =
% 17.96/3.23 push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 17.96/3.23 $i] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) |
% 17.96/3.23 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) &
% 17.96/3.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0
% 17.96/3.23 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0,
% 17.96/3.23 v1, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 17.96/3.23 : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~
% 17.96/3.23 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, v2)) & !
% 17.96/3.23 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0 =
% 17.96/3.23 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1,
% 17.96/3.23 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 =
% 17.96/3.23 forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0,
% 17.96/3.23 v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : !
% 17.96/3.23 [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0 = pull | ~
% 17.96/3.23 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 17.96/3.23 $i] : (v1 = backwards | v1 = forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) |
% 17.96/3.23 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] :
% 17.96/3.23 ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0 = push | ~
% 17.96/3.23 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : !
% 17.96/3.23 [v2: $i] : (v1 = backwards | v1 = forwards | v0 = push | ~ $i(v2) | ~ $i(v1)
% 17.96/3.23 | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0:
% 17.96/3.23 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | ~
% 17.96/3.23 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : !
% 17.96/3.23 [v2: $i] : (v1 = backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) |
% 17.96/3.23 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~
% 17.96/3.23 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.23 backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 17.96/3.23 terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0:
% 17.96/3.23 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v0 = pull | v0 = push |
% 17.96/3.23 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.23 backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 17.96/3.23 terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] :
% 17.96/3.23 ! [v2: $i] : (v1 = backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1)
% 17.96/3.23 | ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0: $i] :
% 17.96/3.23 ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v0 = pull | v0 = push | ~
% 17.96/3.23 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] :
% 17.96/3.23 ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v0 = pull | ~ $i(v2) | ~ $i(v1)
% 17.96/3.23 | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~
% 17.96/3.23 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.96/3.23 backwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 17.96/3.23 terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0:
% 17.96/3.23 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v0 = pull | ~ $i(v2) |
% 17.96/3.23 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) &
% 17.96/3.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = forwards | v0 = pull | v0 =
% 17.96/3.23 push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : !
% 17.96/3.23 [v2: $i] : (v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~
% 17.96/3.23 $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push,
% 17.96/3.23 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = forwards | v0 =
% 17.96/3.23 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1,
% 17.96/3.23 v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 17.96/3.23 (v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 17.96/3.23 ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i]
% 17.96/3.23 : ! [v2: $i] : (v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1)
% 17.96/3.23 | ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0: $i] :
% 17.96/3.23 ! [v1: $i] : ! [v2: $i] : (v1 = forwards | v0 = pull | v0 = push | ~ $i(v2)
% 17.96/3.23 | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1:
% 17.96/3.23 $i] : ! [v2: $i] : (v1 = forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~
% 17.96/3.23 $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push,
% 17.96/3.23 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = forwards | v0 =
% 17.96/3.23 pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 17.96/3.23 $i] : (v1 = forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 17.96/3.23 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] :
% 17.96/3.23 ! [v2: $i] : (v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 17.96/3.23 terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & !
% 17.96/3.23 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = pull | v0 = push | ~ $i(v2) | ~
% 17.96/3.23 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) |
% 17.96/3.23 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = pull |
% 17.96/3.23 v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) |
% 17.96/3.23 ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = pull
% 17.96/3.23 | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)
% 17.96/3.23 | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 =
% 17.96/3.23 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1,
% 17.96/3.23 v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 =
% 17.96/3.23 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1,
% 17.96/3.23 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = pull | ~ $i(v2) |
% 17.96/3.23 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~
% 17.96/3.23 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = pull |
% 17.96/3.23 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~
% 17.96/3.23 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 17.96/3.23 $i] : (v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1,
% 17.96/3.23 v2) | ~ happens(pull, v2)) & ! [v0: $i] : ( ~ $i(v0) | ~ happens(push,
% 17.96/3.23 v0) | terminates(pull, backwards, v0)) & ! [v0: $i] : ( ~ $i(v0) | ~
% 17.96/3.23 happens(push, v0) | terminates(pull, forwards, v0)) & ? [v0: $i] : ( ~
% 17.96/3.23 $i(v0) | terminates(pull, spinning, v0) | happens(push, v0)) & ? [v0: $i] :
% 17.96/3.23 ( ~ $i(v0) | terminates(pull, forwards, v0) | happens(push, v0)) & ? [v0: $i]
% 17.96/3.23 : ( ~ $i(v0) | terminates(push, spinning, v0) | happens(pull, v0)) & ? [v0:
% 17.96/3.23 $i] : ( ~ $i(v0) | terminates(push, backwards, v0) | happens(pull, v0))
% 17.96/3.23
% 17.96/3.23 Further assumptions not needed in the proof:
% 17.96/3.23 --------------------------------------------
% 17.96/3.23 antitrajectory, change_holding, forwards_not_backwards, forwards_not_spinning,
% 17.96/3.23 happens_holds, happens_not_released, happens_releases, initiates_all_defn,
% 17.96/3.23 keep_holding, keep_not_holding, keep_not_released, keep_released, less0, less1,
% 17.96/3.23 less4, less5, less6, less7, less8, less9, less_or_equal, less_property,
% 17.96/3.23 not_backwards_0, not_forwards_0, not_releasedAt, not_splinning_0, plus0_0,
% 17.96/3.23 plus0_1, plus0_2, plus0_3, plus1_1, plus1_3, plus2_2, plus2_3, plus3_3,
% 17.96/3.23 releases_all_defn, spinning_not_backwards, startedin_defn, stoppedin_defn
% 17.96/3.23
% 17.96/3.23 Those formulas are unsatisfiable:
% 17.96/3.23 ---------------------------------
% 17.96/3.23
% 17.96/3.23 Begin of proof
% 17.96/3.23 |
% 17.96/3.23 | ALPHA: (happens_terminates_not_holds) implies:
% 17.96/3.23 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (plus(v1,
% 17.96/3.23 | n1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ holdsAt(v2,
% 17.96/3.23 | v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1))
% 17.96/3.23 |
% 17.96/3.23 | ALPHA: (terminates_all_defn) implies:
% 17.96/3.23 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ happens(push, v0) | terminates(pull,
% 17.96/3.23 | forwards, v0))
% 17.96/3.23 |
% 17.96/3.23 | ALPHA: (happens_all_defn) implies:
% 17.96/3.23 | (3) happens(push, n2)
% 17.96/3.23 | (4) happens(pull, n2)
% 17.96/3.23 |
% 17.96/3.23 | ALPHA: (push_not_pull) implies:
% 17.96/3.23 | (5) $i(pull)
% 17.96/3.23 |
% 17.96/3.23 | ALPHA: (plus1_2) implies:
% 17.96/3.23 | (6) plus(n1, n2) = n3
% 17.96/3.23 |
% 17.96/3.23 | ALPHA: (symmetry_of_plus) implies:
% 17.96/3.23 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (plus(v1, v0) = v2) | ~
% 17.96/3.23 | $i(v1) | ~ $i(v0) | (plus(v0, v1) = v2 & $i(v2)))
% 17.96/3.23 |
% 17.96/3.23 | ALPHA: (less2) implies:
% 17.96/3.23 | (8) $i(n1)
% 17.96/3.23 |
% 17.96/3.23 | ALPHA: (less3) implies:
% 17.96/3.23 | (9) $i(n2)
% 17.96/3.23 |
% 17.96/3.23 | ALPHA: (not_forwards_3) implies:
% 17.96/3.23 | (10) holdsAt(forwards, n3)
% 17.96/3.23 | (11) $i(forwards)
% 17.96/3.23 |
% 17.96/3.24 | GROUND_INST: instantiating (2) with n2, simplifying with (3), (9) gives:
% 17.96/3.24 | (12) terminates(pull, forwards, n2)
% 17.96/3.24 |
% 17.96/3.24 | GROUND_INST: instantiating (7) with n2, n1, n3, simplifying with (6), (8), (9)
% 17.96/3.24 | gives:
% 17.96/3.24 | (13) plus(n2, n1) = n3 & $i(n3)
% 17.96/3.24 |
% 17.96/3.24 | ALPHA: (13) implies:
% 17.96/3.24 | (14) plus(n2, n1) = n3
% 17.96/3.24 |
% 17.96/3.24 | GROUND_INST: instantiating (1) with pull, n2, forwards, n3, simplifying with
% 17.96/3.24 | (4), (5), (9), (10), (11), (12), (14) gives:
% 17.96/3.24 | (15) $false
% 17.96/3.24 |
% 17.96/3.24 | CLOSE: (15) is inconsistent.
% 17.96/3.24 |
% 17.96/3.24 End of proof
% 17.96/3.24 % SZS output end Proof for theBenchmark
% 17.96/3.24
% 17.96/3.24 2606ms
%------------------------------------------------------------------------------