TSTP Solution File: CSR017+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR017+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 : n017.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 21:36:25 EDT 2023
% Result : Theorem 16.13s 2.90s
% Output : Proof 34.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : CSR017+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.12/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 07:57:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.61 ________ _____
% 0.22/0.61 ___ __ \_________(_)________________________________
% 0.22/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.22/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.22/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.22/0.61
% 0.22/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.22/0.61 (2023-06-19)
% 0.22/0.61
% 0.22/0.61 (c) Philipp Rümmer, 2009-2023
% 0.22/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.22/0.61 Amanda Stjerna.
% 0.22/0.61 Free software under BSD-3-Clause.
% 0.22/0.61
% 0.22/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.22/0.61
% 0.22/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.22/0.62 Running up to 7 provers in parallel.
% 0.22/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.22/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.22/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.22/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.22/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.22/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.22/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.73/1.26 Prover 1: Preprocessing ...
% 3.73/1.27 Prover 4: Preprocessing ...
% 3.73/1.30 Prover 5: Preprocessing ...
% 3.73/1.30 Prover 3: Preprocessing ...
% 3.73/1.30 Prover 2: Preprocessing ...
% 3.73/1.31 Prover 0: Preprocessing ...
% 3.73/1.31 Prover 6: Preprocessing ...
% 8.06/1.83 Prover 5: Proving ...
% 8.40/1.91 Prover 1: Constructing countermodel ...
% 8.40/1.91 Prover 3: Constructing countermodel ...
% 8.40/1.95 Prover 6: Proving ...
% 10.20/2.11 Prover 1: gave up
% 10.20/2.11 Prover 3: gave up
% 10.20/2.12 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.20/2.12 Prover 4: Constructing countermodel ...
% 10.20/2.12 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.59/2.20 Prover 0: Proving ...
% 10.59/2.20 Prover 7: Preprocessing ...
% 10.59/2.20 Prover 8: Preprocessing ...
% 10.59/2.21 Prover 6: gave up
% 10.59/2.21 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 11.23/2.27 Prover 9: Preprocessing ...
% 12.00/2.37 Prover 2: Proving ...
% 12.82/2.46 Prover 8: Warning: ignoring some quantifiers
% 12.82/2.48 Prover 8: Constructing countermodel ...
% 13.51/2.59 Prover 9: Constructing countermodel ...
% 13.51/2.63 Prover 8: gave up
% 13.51/2.65 Prover 7: Warning: ignoring some quantifiers
% 13.51/2.65 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.07/2.68 Prover 7: Constructing countermodel ...
% 14.07/2.70 Prover 10: Preprocessing ...
% 16.13/2.89 Prover 9: proved (680ms)
% 16.13/2.89
% 16.13/2.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.13/2.90
% 16.13/2.90 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 16.13/2.90 Prover 2: stopped
% 16.13/2.90 Prover 5: stopped
% 16.13/2.91 Prover 0: stopped
% 16.13/2.93 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 16.13/2.93 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 16.13/2.93 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 16.13/2.94 Prover 13: Preprocessing ...
% 16.13/2.95 Prover 11: Preprocessing ...
% 16.13/2.98 Prover 10: Warning: ignoring some quantifiers
% 16.13/2.98 Prover 19: Preprocessing ...
% 16.13/2.98 Prover 16: Preprocessing ...
% 16.99/3.00 Prover 10: Constructing countermodel ...
% 18.46/3.23 Prover 19: Warning: ignoring some quantifiers
% 18.46/3.24 Prover 11: Constructing countermodel ...
% 18.46/3.25 Prover 19: Constructing countermodel ...
% 19.87/3.39 Prover 16: Warning: ignoring some quantifiers
% 19.99/3.41 Prover 16: Constructing countermodel ...
% 20.09/3.43 Prover 13: Warning: ignoring some quantifiers
% 20.09/3.46 Prover 13: Constructing countermodel ...
% 23.17/3.88 Prover 19: gave up
% 23.17/3.91 Prover 10: gave up
% 27.25/4.38 Prover 13: gave up
% 29.36/4.71 Prover 16: gave up
% 31.04/4.96 Prover 7: gave up
% 33.08/5.38 Prover 4: Found proof (size 356)
% 33.08/5.38 Prover 4: proved (4744ms)
% 33.08/5.38 Prover 11: stopped
% 33.08/5.38
% 33.08/5.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.08/5.38
% 33.08/5.41 % SZS output start Proof for theBenchmark
% 33.08/5.42 Assumptions after simplification:
% 33.08/5.42 ---------------------------------
% 33.08/5.42
% 33.08/5.42 (change_holding)
% 33.69/5.47 $i(n0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 33.69/5.47 ! [v5: $i] : ! [v6: int] : ! [v7: int] : (v7 = 0 | v6 = 0 | ~ (plus(v1,
% 33.69/5.47 v4) = v5) | ~ (holdsAt(v3, v5) = v7) | ~ (stoppedIn(v1, v2, v5) = v6)
% 33.69/5.47 | ~ (happens(v0, v1) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 33.69/5.47 ~ $i(v0) | ? [v8: any] : ? [v9: any] : ? [v10: any] : (trajectory(v2,
% 33.69/5.47 v1, v3, v4) = v10 & initiates(v0, v2, v1) = v8 & less(n0, v4) = v9 & ( ~
% 33.69/5.47 (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0)))) & ! [v0: $i] : ! [v1: $i] :
% 33.69/5.47 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: int] : (v6 = 0
% 33.69/5.47 | ~ (plus(v1, v4) = v5) | ~ (holdsAt(v3, v5) = v6) | ~ (initiates(v0, v2,
% 33.69/5.47 v1) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 33.69/5.47 ? [v7: any] : ? [v8: any] : ? [v9: any] : ? [v10: any] : (trajectory(v2,
% 33.69/5.47 v1, v3, v4) = v9 & stoppedIn(v1, v2, v5) = v10 & happens(v0, v1) = v7 &
% 33.69/5.47 less(n0, v4) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v10 = 0)))
% 33.69/5.47 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 33.69/5.47 (trajectory(v2, v1, v3, v4) = 0) | ~ (initiates(v0, v2, v1) = 0) | ~
% 33.69/5.47 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ?
% 33.69/5.47 [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9: any] : (plus(v1, v4) = v7 &
% 33.69/5.47 holdsAt(v3, v7) = v9 & stoppedIn(v1, v2, v7) = v8 & happens(v0, v1) = v5 &
% 33.69/5.47 less(n0, v4) = v6 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0 | v8 =
% 33.69/5.47 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 33.69/5.47 $i] : ( ~ (trajectory(v2, v1, v3, v4) = 0) | ~ (happens(v0, v1) = 0) | ~
% 33.69/5.47 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ?
% 33.69/5.47 [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9: any] : (plus(v1, v4) = v7 &
% 33.69/5.47 holdsAt(v3, v7) = v9 & initiates(v0, v2, v1) = v5 & stoppedIn(v1, v2, v7)
% 33.69/5.47 = v8 & less(n0, v4) = v6 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0 |
% 33.69/5.47 v8 = 0)))
% 33.69/5.47
% 33.69/5.47 (forwards_not_backwards)
% 33.69/5.47 ~ (backwards = forwards) & $i(backwards) & $i(forwards)
% 33.69/5.47
% 33.69/5.47 (forwards_not_spinning)
% 33.69/5.47 ~ (spinning = forwards) & $i(spinning) & $i(forwards)
% 33.69/5.47
% 33.69/5.47 (happens_all_defn)
% 33.69/5.48 $i(n2) & $i(pull) & $i(push) & $i(n1) & $i(n0) & ! [v0: $i] : ! [v1: $i] :
% 33.69/5.48 (v1 = n2 | v1 = n1 | v1 = n0 | v0 = pull | ~ (happens(v0, v1) = 0) | ~
% 33.69/5.48 $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v1 = n1 | v1 =
% 33.69/5.48 n0 | v0 = push | ~ (happens(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0:
% 33.69/5.48 $i] : ! [v1: $i] : (v1 = n2 | v1 = n1 | v1 = n0 | ~ (happens(v0, v1) = 0)
% 33.69/5.48 | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v1 = n1 |
% 33.69/5.48 v0 = pull | v0 = push | ~ (happens(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) &
% 33.69/5.48 ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v1 = n1 | v0 = push | ~ (happens(v0,
% 33.69/5.48 v1) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2
% 33.69/5.48 | v1 = n0 | v0 = pull | v0 = push | ~ (happens(v0, v1) = 0) | ~ $i(v1) |
% 33.69/5.48 ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v1 = n0 | v0 = pull | ~
% 33.69/5.48 (happens(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] :
% 33.69/5.48 (v1 = n2 | v0 = pull | v0 = push | ~ (happens(v0, v1) = 0) | ~ $i(v1) | ~
% 33.69/5.48 $i(v0)) & ! [v0: $i] : ! [v1: $i] : (v1 = n1 | v1 = n0 | v0 = pull | v0 =
% 33.69/5.48 push | ~ (happens(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : !
% 33.69/5.48 [v1: $i] : (v1 = n1 | v0 = pull | v0 = push | ~ (happens(v0, v1) = 0) | ~
% 33.69/5.48 $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : (v1 = n0 | v0 = pull | v0
% 33.69/5.48 = push | ~ (happens(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] :
% 33.69/5.48 ! [v1: $i] : (v0 = pull | v0 = push | ~ (happens(v0, v1) = 0) | ~ $i(v1) |
% 33.69/5.48 ~ $i(v0)) & ! [v0: int] : (v0 = 0 | ~ (happens(pull, n2) = v0)) & ! [v0:
% 33.69/5.48 int] : (v0 = 0 | ~ (happens(pull, n1) = v0)) & ! [v0: int] : (v0 = 0 | ~
% 33.69/5.48 (happens(push, n2) = v0)) & ! [v0: int] : (v0 = 0 | ~ (happens(push, n0) =
% 33.69/5.48 v0))
% 33.69/5.48
% 33.69/5.48 (happens_not_released)
% 33.69/5.48 $i(n1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 33.69/5.48 (initiates(v0, v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 33.69/5.48 any] : ? [v5: any] : ? [v6: $i] : ? [v7: any] : (releasedAt(v2, v6) =
% 33.69/5.48 v7 & plus(v1, n1) = v6 & happens(v0, v1) = v4 & terminates(v0, v2, v1) =
% 33.69/5.48 v5 & $i(v6) & ( ~ (v7 = 0) | ~ (v4 = 0) | ( ~ (v5 = 0) & ~ (v3 = 0)))))
% 33.69/5.48 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (terminates(v0,
% 33.69/5.48 v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ?
% 33.69/5.48 [v5: any] : ? [v6: $i] : ? [v7: any] : (releasedAt(v2, v6) = v7 & plus(v1,
% 33.69/5.48 n1) = v6 & initiates(v0, v2, v1) = v5 & happens(v0, v1) = v4 & $i(v6) &
% 33.69/5.48 ( ~ (v7 = 0) | ~ (v4 = 0) | ( ~ (v5 = 0) & ~ (v3 = 0)))))
% 33.69/5.48
% 33.69/5.48 (happens_terminates_not_holds)
% 33.69/5.48 $i(n1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (terminates(v0, v2, v1)
% 33.69/5.48 = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ?
% 33.69/5.48 [v5: any] : (plus(v1, n1) = v4 & holdsAt(v2, v4) = v5 & happens(v0, v1) = v3
% 33.69/5.48 & $i(v4) & ( ~ (v5 = 0) | ~ (v3 = 0))))
% 33.69/5.48
% 33.69/5.48 (initiates_all_defn)
% 33.69/5.48 $i(spinning) & $i(backwards) & $i(pull) & $i(forwards) & $i(push) & ! [v0:
% 33.69/5.48 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (initiates(v0,
% 33.69/5.48 v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ?
% 33.69/5.48 [v5: any] : (happens(pull, v2) = v4 & happens(push, v2) = v5 & ( ~ (v5 = 0)
% 33.69/5.48 | ~ (v1 = spinning) | ~ (v0 = pull)) & ( ~ (v1 = backwards) | ~ (v0 =
% 33.69/5.48 pull) | v5 = 0) & ( ~ (v1 = forwards) | ~ (v0 = push) | v4 = 0))) &
% 33.69/5.48 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (initiates(v0, v1, v2) = 0) | ~
% 33.69/5.48 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 33.69/5.48 (happens(pull, v2) = v3 & happens(push, v2) = v4 & ((v4 = 0 & v1 = spinning
% 33.69/5.48 & v0 = pull) | (v1 = backwards & v0 = pull & ~ (v4 = 0)) | (v1 =
% 33.69/5.48 forwards & v0 = push & ~ (v3 = 0)))))
% 33.69/5.48
% 33.69/5.48 (keep_holding)
% 33.69/5.49 $i(n1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 33.69/5.49 (releasedAt(v0, v2) = v3) | ~ (plus(v1, n1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 33.69/5.49 ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: int] : ? [v8: int] :
% 33.69/5.49 ($i(v6) & ((v8 = 0 & v7 = 0 & happens(v6, v1) = 0 & terminates(v6, v0, v1) =
% 33.69/5.49 0) | (holdsAt(v0, v2) = v5 & holdsAt(v0, v1) = v4 & ( ~ (v4 = 0) | v5
% 33.69/5.49 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] :
% 33.69/5.49 (v3 = 0 | ~ (plus(v1, n1) = v2) | ~ (holdsAt(v0, v2) = v3) | ~ $i(v1) | ~
% 33.69/5.49 $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: int] : ? [v8:
% 33.69/5.49 int] : ($i(v6) & ((v8 = 0 & v7 = 0 & happens(v6, v1) = 0 & terminates(v6,
% 33.69/5.49 v0, v1) = 0) | (releasedAt(v0, v2) = v5 & holdsAt(v0, v1) = v4 & ( ~
% 33.69/5.49 (v4 = 0) | v5 = 0))))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 33.69/5.49 (holdsAt(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: any] :
% 33.69/5.49 ? [v4: any] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ($i(v5) & ((v7 =
% 33.69/5.49 0 & v6 = 0 & happens(v5, v1) = 0 & terminates(v5, v0, v1) = 0) |
% 33.69/5.49 (releasedAt(v0, v2) = v3 & plus(v1, n1) = v2 & holdsAt(v0, v2) = v4 &
% 33.69/5.49 $i(v2) & (v4 = 0 | v3 = 0)))))
% 33.69/5.49
% 33.69/5.49 (keep_not_holding)
% 33.69/5.49 $i(n1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 33.69/5.49 (releasedAt(v0, v2) = v3) | ~ (plus(v1, n1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 33.69/5.49 ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: int] : ? [v8: int] :
% 33.69/5.49 ($i(v6) & ((v8 = 0 & v7 = 0 & initiates(v6, v0, v1) = 0 & happens(v6, v1) =
% 33.69/5.49 0) | (holdsAt(v0, v2) = v5 & holdsAt(v0, v1) = v4 & ( ~ (v5 = 0) | v4
% 33.69/5.49 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 33.69/5.49 (holdsAt(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: any]
% 33.69/5.49 : ? [v5: any] : ? [v6: $i] : ? [v7: int] : ? [v8: int] : ($i(v6) & ((v8
% 33.69/5.49 = 0 & v7 = 0 & initiates(v6, v0, v1) = 0 & happens(v6, v1) = 0) |
% 33.69/5.49 (releasedAt(v0, v3) = v4 & plus(v1, n1) = v3 & holdsAt(v0, v3) = v5 &
% 33.69/5.49 $i(v3) & ( ~ (v5 = 0) | v4 = 0))))) & ! [v0: $i] : ! [v1: $i] : !
% 33.69/5.49 [v2: $i] : ( ~ (plus(v1, n1) = v2) | ~ (holdsAt(v0, v2) = 0) | ~ $i(v1) | ~
% 33.69/5.49 $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: int] : ? [v7:
% 33.69/5.49 int] : ($i(v5) & ((v7 = 0 & v6 = 0 & initiates(v5, v0, v1) = 0 &
% 33.69/5.49 happens(v5, v1) = 0) | (releasedAt(v0, v2) = v4 & holdsAt(v0, v1) = v3
% 33.69/5.49 & (v4 = 0 | v3 = 0)))))
% 33.69/5.49
% 33.69/5.49 (keep_not_released)
% 33.69/5.49 $i(n1) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 33.69/5.49 (releasedAt(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4:
% 33.69/5.49 int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ($i(v5) & ((v7 = 0 & v6
% 33.69/5.49 = 0 & releases(v5, v0, v1) = 0 & happens(v5, v1) = 0) | ( ~ (v4 = 0) &
% 33.69/5.49 releasedAt(v0, v3) = v4 & plus(v1, n1) = v3 & $i(v3))))) & ! [v0: $i]
% 33.69/5.49 : ! [v1: $i] : ! [v2: $i] : ( ~ (releasedAt(v0, v2) = 0) | ~ (plus(v1, n1)
% 33.69/5.49 = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ? [v4: $i] : ? [v5: int]
% 33.69/5.49 : ? [v6: int] : ($i(v4) & ((v6 = 0 & v5 = 0 & releases(v4, v0, v1) = 0 &
% 33.69/5.49 happens(v4, v1) = 0) | (v3 = 0 & releasedAt(v0, v1) = 0))))
% 33.69/5.49
% 33.69/5.49 (less0)
% 33.69/5.49 $i(n0) & ! [v0: $i] : ( ~ (less(v0, n0) = 0) | ~ $i(v0))
% 33.69/5.49
% 33.69/5.49 (less1)
% 33.69/5.49 $i(n1) & $i(n0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (less_or_equal(v0,
% 33.69/5.49 n0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & less(v0, n1) =
% 33.69/5.49 v2)) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (less(v0, n1) = v1) | ~
% 33.69/5.49 $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & less_or_equal(v0, n0) = v2)) & !
% 33.69/5.49 [v0: $i] : ( ~ (less_or_equal(v0, n0) = 0) | ~ $i(v0) | less(v0, n1) = 0) &
% 33.69/5.49 ! [v0: $i] : ( ~ (less(v0, n1) = 0) | ~ $i(v0) | less_or_equal(v0, n0) = 0)
% 33.69/5.49
% 33.69/5.49 (less2)
% 33.69/5.50 $i(n2) & $i(n1) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (less_or_equal(v0,
% 33.69/5.50 n1) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & less(v0, n2) =
% 33.69/5.50 v2)) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (less(v0, n2) = v1) | ~
% 33.69/5.50 $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & less_or_equal(v0, n1) = v2)) & !
% 33.69/5.50 [v0: $i] : ( ~ (less_or_equal(v0, n1) = 0) | ~ $i(v0) | less(v0, n2) = 0) &
% 33.69/5.50 ! [v0: $i] : ( ~ (less(v0, n2) = 0) | ~ $i(v0) | less_or_equal(v0, n1) = 0)
% 33.69/5.50
% 33.69/5.50 (less3)
% 33.69/5.50 $i(n3) & $i(n2) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (less_or_equal(v0,
% 33.69/5.50 n2) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & less(v0, n3) =
% 33.69/5.50 v2)) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (less(v0, n3) = v1) | ~
% 33.69/5.50 $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & less_or_equal(v0, n2) = v2)) & !
% 33.69/5.50 [v0: $i] : ( ~ (less_or_equal(v0, n2) = 0) | ~ $i(v0) | less(v0, n3) = 0) &
% 33.69/5.50 ! [v0: $i] : ( ~ (less(v0, n3) = 0) | ~ $i(v0) | less_or_equal(v0, n2) = 0)
% 33.69/5.50
% 33.69/5.50 (less7)
% 33.69/5.50 $i(n7) & $i(n6) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (less_or_equal(v0,
% 33.69/5.50 n6) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & less(v0, n7) =
% 33.69/5.50 v2)) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (less(v0, n7) = v1) | ~
% 33.69/5.50 $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & less_or_equal(v0, n6) = v2)) & !
% 33.69/5.50 [v0: $i] : ( ~ (less_or_equal(v0, n6) = 0) | ~ $i(v0) | less(v0, n7) = 0) &
% 33.69/5.50 ! [v0: $i] : ( ~ (less(v0, n7) = 0) | ~ $i(v0) | less_or_equal(v0, n6) = 0)
% 33.69/5.50
% 33.69/5.50 (less_or_equal)
% 33.69/5.50 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (less(v0,
% 33.69/5.50 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 33.69/5.50 less_or_equal(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] :
% 33.69/5.50 (v2 = 0 | ~ (less_or_equal(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 33.69/5.50 int] : ( ~ (v3 = 0) & less(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] :
% 33.69/5.50 (v1 = v0 | ~ (less_or_equal(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | less(v0,
% 33.69/5.50 v1) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (less_or_equal(v0,
% 33.69/5.50 v0) = v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (less(v0, v1) =
% 33.69/5.50 0) | ~ $i(v1) | ~ $i(v0) | less_or_equal(v0, v1) = 0) & ! [v0: $i] : !
% 33.69/5.50 [v1: MultipleValueBool] : ( ~ (less(v0, v0) = v1) | ~ $i(v0) |
% 33.69/5.50 less_or_equal(v0, v0) = 0)
% 33.69/5.50
% 33.69/5.50 (less_property)
% 33.69/5.50 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (less(v1,
% 33.69/5.50 v0) = v2) | ~ $i(v1) | ~ $i(v0) | less(v0, v1) = 0) & ! [v0: $i] : !
% 33.69/5.50 [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (less(v0, v1) = v2) | ~
% 33.69/5.50 $i(v1) | ~ $i(v0) | less(v1, v0) = 0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 33.69/5.50 (less(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 33.69/5.50 less(v0, v1) = v2)) & ! [v0: $i] : ! [v1: $i] : ( ~ (less(v0, v1) = 0) |
% 33.69/5.50 ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & less(v1, v0) = v2)) &
% 33.69/5.50 ! [v0: $i] : ( ~ (less(v0, v0) = 0) | ~ $i(v0))
% 33.69/5.50
% 33.69/5.50 (not_backwards_0)
% 33.69/5.51 $i(backwards) & $i(n0) & ? [v0: int] : ( ~ (v0 = 0) & holdsAt(backwards, n0)
% 33.69/5.51 = v0)
% 33.69/5.51
% 33.69/5.51 (not_forwards_0)
% 33.69/5.51 $i(forwards) & $i(n0) & ? [v0: int] : ( ~ (v0 = 0) & holdsAt(forwards, n0) =
% 33.69/5.51 v0)
% 33.69/5.51
% 33.69/5.51 (not_releasedAt)
% 33.69/5.51 ! [v0: $i] : ! [v1: $i] : ( ~ (releasedAt(v0, v1) = 0) | ~ $i(v1) | ~
% 33.69/5.51 $i(v0))
% 33.69/5.51
% 33.69/5.51 (not_spinning_1)
% 33.69/5.51 holdsAt(spinning, n1) = 0 & $i(spinning) & $i(n1)
% 33.69/5.51
% 33.69/5.51 (not_splinning_0)
% 33.69/5.51 $i(spinning) & $i(n0) & ? [v0: int] : ( ~ (v0 = 0) & holdsAt(spinning, n0) =
% 33.69/5.51 v0)
% 33.69/5.51
% 33.69/5.51 (plus0_0)
% 33.69/5.51 plus(n0, n0) = n0 & $i(n0)
% 33.69/5.51
% 33.69/5.51 (plus0_1)
% 33.69/5.51 plus(n0, n1) = n1 & $i(n1) & $i(n0)
% 33.69/5.51
% 33.69/5.51 (plus0_2)
% 33.69/5.51 plus(n0, n2) = n2 & $i(n2) & $i(n0)
% 33.69/5.51
% 33.69/5.51 (plus1_1)
% 33.69/5.51 plus(n1, n1) = n2 & $i(n2) & $i(n1)
% 33.69/5.51
% 33.69/5.51 (plus1_2)
% 33.69/5.51 plus(n1, n2) = n3 & $i(n3) & $i(n2) & $i(n1)
% 33.69/5.51
% 33.69/5.51 (plus1_3)
% 33.69/5.51 plus(n1, n3) = n4 & $i(n4) & $i(n3) & $i(n1)
% 33.69/5.51
% 33.69/5.51 (plus2_2)
% 33.69/5.51 plus(n2, n2) = n4 & $i(n4) & $i(n2)
% 33.69/5.51
% 33.69/5.51 (plus3_3)
% 33.69/5.51 plus(n3, n3) = n6 & $i(n6) & $i(n3)
% 33.69/5.51
% 33.69/5.51 (push_not_pull)
% 33.69/5.51 ~ (pull = push) & $i(pull) & $i(push)
% 33.69/5.51
% 33.69/5.51 (releases_all_defn)
% 33.69/5.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (releases(v0, v1, v2) = 0) | ~
% 33.69/5.51 $i(v2) | ~ $i(v1) | ~ $i(v0))
% 33.69/5.51
% 33.69/5.51 (spinning_not_backwards)
% 33.69/5.51 ~ (spinning = backwards) & $i(spinning) & $i(backwards)
% 33.69/5.51
% 33.69/5.51 (stoppedin_defn)
% 33.69/5.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: $i] : ! [v5:
% 33.69/5.51 $i] : (v3 = 0 | ~ (stoppedIn(v0, v1, v2) = v3) | ~ (happens(v4, v5) = 0) |
% 33.69/5.51 ~ $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] :
% 33.69/5.51 ? [v7: any] : ? [v8: any] : (less(v5, v2) = v7 & less(v0, v5) = v6 &
% 33.69/5.51 terminates(v4, v1, v5) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 33.69/5.51 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: $i] : !
% 33.69/5.51 [v5: $i] : (v3 = 0 | ~ (stoppedIn(v0, v1, v2) = v3) | ~ (terminates(v4, v1,
% 33.69/5.51 v5) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 33.69/5.51 ? [v6: any] : ? [v7: any] : ? [v8: any] : (happens(v4, v5) = v6 & less(v5,
% 33.69/5.51 v2) = v8 & less(v0, v5) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 =
% 33.69/5.51 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (stoppedIn(v0,
% 33.69/5.51 v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4:
% 33.69/5.51 $i] : (happens(v3, v4) = 0 & less(v4, v2) = 0 & less(v0, v4) = 0 &
% 33.69/5.51 terminates(v3, v1, v4) = 0 & $i(v4) & $i(v3)))
% 33.69/5.51
% 33.69/5.51 (symmetry_of_plus)
% 33.69/5.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (plus(v1, v0) = v2) | ~ $i(v1)
% 33.69/5.51 | ~ $i(v0) | (plus(v0, v1) = v2 & $i(v2))) & ! [v0: $i] : ! [v1: $i] : !
% 33.69/5.51 [v2: $i] : ( ~ (plus(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | (plus(v1, v0) =
% 33.69/5.52 v2 & $i(v2)))
% 33.69/5.52
% 33.69/5.52 (function-axioms)
% 33.69/5.52 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 33.69/5.52 [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | ~ (antitrajectory(v5, v4,
% 33.69/5.52 v3, v2) = v1) | ~ (antitrajectory(v5, v4, v3, v2) = v0)) & ! [v0:
% 33.69/5.52 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 33.69/5.52 : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | ~ (trajectory(v5, v4, v3, v2) = v1)
% 33.69/5.52 | ~ (trajectory(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 33.69/5.52 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 |
% 33.69/5.52 ~ (releases(v4, v3, v2) = v1) | ~ (releases(v4, v3, v2) = v0)) & ! [v0:
% 33.69/5.52 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 33.69/5.52 : ! [v4: $i] : (v1 = v0 | ~ (startedIn(v4, v3, v2) = v1) | ~ (startedIn(v4,
% 33.69/5.52 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 33.69/5.52 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (initiates(v4, v3,
% 33.69/5.52 v2) = v1) | ~ (initiates(v4, v3, v2) = v0)) & ! [v0:
% 33.69/5.52 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 33.69/5.52 : ! [v4: $i] : (v1 = v0 | ~ (stoppedIn(v4, v3, v2) = v1) | ~ (stoppedIn(v4,
% 33.69/5.52 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 33.69/5.52 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (terminates(v4, v3,
% 33.69/5.52 v2) = v1) | ~ (terminates(v4, v3, v2) = v0)) & ! [v0:
% 33.69/5.52 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 33.69/5.52 : (v1 = v0 | ~ (less_or_equal(v3, v2) = v1) | ~ (less_or_equal(v3, v2) =
% 33.69/5.52 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 33.69/5.52 $i] : ! [v3: $i] : (v1 = v0 | ~ (releasedAt(v3, v2) = v1) | ~
% 33.69/5.52 (releasedAt(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 33.69/5.52 [v3: $i] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & !
% 33.69/5.52 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 33.69/5.52 $i] : (v1 = v0 | ~ (holdsAt(v3, v2) = v1) | ~ (holdsAt(v3, v2) = v0)) & !
% 33.69/5.52 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 33.69/5.52 $i] : (v1 = v0 | ~ (happens(v3, v2) = v1) | ~ (happens(v3, v2) = v0)) & !
% 33.69/5.52 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 33.69/5.52 $i] : (v1 = v0 | ~ (less(v3, v2) = v1) | ~ (less(v3, v2) = v0))
% 33.69/5.52
% 33.69/5.52 Further assumptions not needed in the proof:
% 33.69/5.52 --------------------------------------------
% 33.69/5.52 antitrajectory, happens_holds, happens_releases, keep_released, less4, less5,
% 33.69/5.52 less6, less8, less9, plus0_3, plus2_3, startedin_defn, terminates_all_defn
% 33.69/5.52
% 33.69/5.52 Those formulas are unsatisfiable:
% 33.69/5.52 ---------------------------------
% 33.69/5.52
% 33.69/5.52 Begin of proof
% 33.69/5.52 |
% 33.69/5.52 | ALPHA: (stoppedin_defn) implies:
% 33.69/5.52 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (stoppedIn(v0, v1, v2) =
% 33.69/5.52 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i]
% 33.69/5.52 | : (happens(v3, v4) = 0 & less(v4, v2) = 0 & less(v0, v4) = 0 &
% 33.69/5.52 | terminates(v3, v1, v4) = 0 & $i(v4) & $i(v3)))
% 33.69/5.52 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: $i] :
% 33.69/5.52 | ! [v5: $i] : (v3 = 0 | ~ (stoppedIn(v0, v1, v2) = v3) | ~
% 33.69/5.52 | (happens(v4, v5) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1)
% 33.69/5.52 | | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : (less(v5,
% 33.69/5.52 | v2) = v7 & less(v0, v5) = v6 & terminates(v4, v1, v5) = v8 & ( ~
% 33.69/5.52 | (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 33.69/5.52 |
% 33.69/5.52 | ALPHA: (change_holding) implies:
% 33.69/5.53 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 33.69/5.53 | ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~ (plus(v1, v4) = v5) | ~
% 33.69/5.53 | (holdsAt(v3, v5) = v6) | ~ (initiates(v0, v2, v1) = 0) | ~ $i(v4) |
% 33.69/5.53 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ?
% 33.69/5.53 | [v8: any] : ? [v9: any] : ? [v10: any] : (trajectory(v2, v1, v3,
% 33.69/5.53 | v4) = v9 & stoppedIn(v1, v2, v5) = v10 & happens(v0, v1) = v7 &
% 33.69/5.53 | less(n0, v4) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v10
% 33.69/5.53 | = 0)))
% 33.69/5.53 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 33.69/5.53 | ! [v5: $i] : ! [v6: int] : ! [v7: int] : (v7 = 0 | v6 = 0 | ~
% 33.69/5.53 | (plus(v1, v4) = v5) | ~ (holdsAt(v3, v5) = v7) | ~ (stoppedIn(v1,
% 33.69/5.53 | v2, v5) = v6) | ~ (happens(v0, v1) = 0) | ~ $i(v4) | ~ $i(v3)
% 33.69/5.53 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any] : ? [v9: any] :
% 33.69/5.53 | ? [v10: any] : (trajectory(v2, v1, v3, v4) = v10 & initiates(v0, v2,
% 33.69/5.53 | v1) = v8 & less(n0, v4) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~
% 33.69/5.53 | (v8 = 0))))
% 33.69/5.53 |
% 33.69/5.53 | ALPHA: (keep_holding) implies:
% 33.69/5.53 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (holdsAt(v0, v1) = 0) | ~ $i(v1) | ~
% 33.69/5.53 | $i(v0) | ? [v2: $i] : ? [v3: any] : ? [v4: any] : ? [v5: $i] : ?
% 33.69/5.53 | [v6: int] : ? [v7: int] : ($i(v5) & ((v7 = 0 & v6 = 0 & happens(v5,
% 33.69/5.53 | v1) = 0 & terminates(v5, v0, v1) = 0) | (releasedAt(v0, v2) =
% 33.69/5.53 | v3 & plus(v1, n1) = v2 & holdsAt(v0, v2) = v4 & $i(v2) & (v4 =
% 33.69/5.53 | 0 | v3 = 0)))))
% 33.69/5.53 |
% 33.69/5.53 | ALPHA: (keep_not_holding) implies:
% 33.69/5.53 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (plus(v1, n1) = v2) | ~
% 33.69/5.53 | (holdsAt(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 33.69/5.53 | [v4: any] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ($i(v5) &
% 34.04/5.53 | ((v7 = 0 & v6 = 0 & initiates(v5, v0, v1) = 0 & happens(v5, v1) =
% 34.04/5.53 | 0) | (releasedAt(v0, v2) = v4 & holdsAt(v0, v1) = v3 & (v4 = 0
% 34.04/5.53 | | v3 = 0)))))
% 34.04/5.53 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (holdsAt(v0,
% 34.04/5.53 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: any] :
% 34.04/5.53 | ? [v5: any] : ? [v6: $i] : ? [v7: int] : ? [v8: int] : ($i(v6) &
% 34.04/5.53 | ((v8 = 0 & v7 = 0 & initiates(v6, v0, v1) = 0 & happens(v6, v1) =
% 34.04/5.53 | 0) | (releasedAt(v0, v3) = v4 & plus(v1, n1) = v3 & holdsAt(v0,
% 34.04/5.53 | v3) = v5 & $i(v3) & ( ~ (v5 = 0) | v4 = 0)))))
% 34.04/5.53 |
% 34.04/5.53 | ALPHA: (keep_not_released) implies:
% 34.04/5.53 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (releasedAt(v0,
% 34.04/5.53 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] :
% 34.04/5.53 | ? [v5: $i] : ? [v6: int] : ? [v7: int] : ($i(v5) & ((v7 = 0 & v6 =
% 34.04/5.53 | 0 & releases(v5, v0, v1) = 0 & happens(v5, v1) = 0) | ( ~ (v4 =
% 34.04/5.53 | 0) & releasedAt(v0, v3) = v4 & plus(v1, n1) = v3 & $i(v3)))))
% 34.04/5.53 |
% 34.04/5.53 | ALPHA: (happens_terminates_not_holds) implies:
% 34.04/5.53 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (terminates(v0, v2, v1) =
% 34.04/5.53 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i]
% 34.04/5.53 | : ? [v5: any] : (plus(v1, n1) = v4 & holdsAt(v2, v4) = v5 &
% 34.04/5.53 | happens(v0, v1) = v3 & $i(v4) & ( ~ (v5 = 0) | ~ (v3 = 0))))
% 34.04/5.53 |
% 34.04/5.53 | ALPHA: (happens_not_released) implies:
% 34.04/5.53 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 34.04/5.53 | (terminates(v0, v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 34.04/5.53 | ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 34.04/5.53 | (releasedAt(v2, v6) = v7 & plus(v1, n1) = v6 & initiates(v0, v2, v1)
% 34.04/5.53 | = v5 & happens(v0, v1) = v4 & $i(v6) & ( ~ (v7 = 0) | ~ (v4 = 0)
% 34.04/5.53 | | ( ~ (v5 = 0) & ~ (v3 = 0)))))
% 34.04/5.54 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 34.04/5.54 | (initiates(v0, v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 34.04/5.54 | ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 34.04/5.54 | (releasedAt(v2, v6) = v7 & plus(v1, n1) = v6 & happens(v0, v1) = v4
% 34.04/5.54 | & terminates(v0, v2, v1) = v5 & $i(v6) & ( ~ (v7 = 0) | ~ (v4 =
% 34.04/5.54 | 0) | ( ~ (v5 = 0) & ~ (v3 = 0)))))
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (initiates_all_defn) implies:
% 34.04/5.54 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (initiates(v0, v1, v2) =
% 34.04/5.54 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 34.04/5.54 | any] : (happens(pull, v2) = v3 & happens(push, v2) = v4 & ((v4 = 0
% 34.04/5.54 | & v1 = spinning & v0 = pull) | (v1 = backwards & v0 = pull &
% 34.04/5.54 | ~ (v4 = 0)) | (v1 = forwards & v0 = push & ~ (v3 = 0)))))
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (happens_all_defn) implies:
% 34.04/5.54 | (13) ! [v0: int] : (v0 = 0 | ~ (happens(push, n0) = v0))
% 34.04/5.54 | (14) ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v1 = n1 | v0 = push | ~
% 34.04/5.54 | (happens(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0))
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (push_not_pull) implies:
% 34.04/5.54 | (15) ~ (pull = push)
% 34.04/5.54 | (16) $i(push)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (forwards_not_backwards) implies:
% 34.04/5.54 | (17) ~ (backwards = forwards)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (forwards_not_spinning) implies:
% 34.04/5.54 | (18) ~ (spinning = forwards)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (spinning_not_backwards) implies:
% 34.04/5.54 | (19) ~ (spinning = backwards)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (plus0_0) implies:
% 34.04/5.54 | (20) plus(n0, n0) = n0
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (plus0_1) implies:
% 34.04/5.54 | (21) plus(n0, n1) = n1
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (plus0_2) implies:
% 34.04/5.54 | (22) plus(n0, n2) = n2
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (plus1_1) implies:
% 34.04/5.54 | (23) plus(n1, n1) = n2
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (plus1_2) implies:
% 34.04/5.54 | (24) plus(n1, n2) = n3
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (plus1_3) implies:
% 34.04/5.54 | (25) plus(n1, n3) = n4
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (plus2_2) implies:
% 34.04/5.54 | (26) plus(n2, n2) = n4
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (plus3_3) implies:
% 34.04/5.54 | (27) plus(n3, n3) = n6
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (symmetry_of_plus) implies:
% 34.04/5.54 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (plus(v1, v0) = v2) | ~
% 34.04/5.54 | $i(v1) | ~ $i(v0) | (plus(v0, v1) = v2 & $i(v2)))
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (less_or_equal) implies:
% 34.04/5.54 | (29) ! [v0: $i] : ! [v1: MultipleValueBool] : ( ~ (less(v0, v0) = v1) |
% 34.04/5.54 | ~ $i(v0) | less_or_equal(v0, v0) = 0)
% 34.04/5.54 | (30) ! [v0: $i] : ! [v1: $i] : ( ~ (less(v0, v1) = 0) | ~ $i(v1) | ~
% 34.04/5.54 | $i(v0) | less_or_equal(v0, v1) = 0)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (less0) implies:
% 34.04/5.54 | (31) ! [v0: $i] : ( ~ (less(v0, n0) = 0) | ~ $i(v0))
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (less1) implies:
% 34.04/5.54 | (32) ! [v0: $i] : ( ~ (less_or_equal(v0, n0) = 0) | ~ $i(v0) | less(v0,
% 34.04/5.54 | n1) = 0)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (less2) implies:
% 34.04/5.54 | (33) ! [v0: $i] : ( ~ (less_or_equal(v0, n1) = 0) | ~ $i(v0) | less(v0,
% 34.04/5.54 | n2) = 0)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (less3) implies:
% 34.04/5.54 | (34) $i(n2)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (less7) implies:
% 34.04/5.54 | (35) $i(n6)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (less_property) implies:
% 34.04/5.54 | (36) ! [v0: $i] : ( ~ (less(v0, v0) = 0) | ~ $i(v0))
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (not_forwards_0) implies:
% 34.04/5.54 | (37) $i(forwards)
% 34.04/5.54 | (38) ? [v0: int] : ( ~ (v0 = 0) & holdsAt(forwards, n0) = v0)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (not_backwards_0) implies:
% 34.04/5.54 | (39) $i(backwards)
% 34.04/5.54 | (40) ? [v0: int] : ( ~ (v0 = 0) & holdsAt(backwards, n0) = v0)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (not_splinning_0) implies:
% 34.04/5.54 | (41) $i(n0)
% 34.04/5.54 | (42) ? [v0: int] : ( ~ (v0 = 0) & holdsAt(spinning, n0) = v0)
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (not_spinning_1) implies:
% 34.04/5.54 | (43) $i(n1)
% 34.04/5.54 | (44) $i(spinning)
% 34.04/5.54 | (45) holdsAt(spinning, n1) = 0
% 34.04/5.54 |
% 34.04/5.54 | ALPHA: (function-axioms) implies:
% 34.04/5.54 | (46) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 34.04/5.54 | : ! [v3: $i] : (v1 = v0 | ~ (less(v3, v2) = v1) | ~ (less(v3, v2) =
% 34.04/5.54 | v0))
% 34.04/5.55 | (47) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 34.04/5.55 | : ! [v3: $i] : (v1 = v0 | ~ (happens(v3, v2) = v1) | ~ (happens(v3,
% 34.04/5.55 | v2) = v0))
% 34.04/5.55 | (48) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 34.04/5.55 | : ! [v3: $i] : (v1 = v0 | ~ (holdsAt(v3, v2) = v1) | ~ (holdsAt(v3,
% 34.04/5.55 | v2) = v0))
% 34.04/5.55 | (49) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 34.04/5.55 | (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 34.04/5.55 | (50) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 34.04/5.55 | : ! [v3: $i] : (v1 = v0 | ~ (releasedAt(v3, v2) = v1) | ~
% 34.04/5.55 | (releasedAt(v3, v2) = v0))
% 34.04/5.55 | (51) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 34.04/5.55 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (stoppedIn(v4, v3, v2) =
% 34.04/5.55 | v1) | ~ (stoppedIn(v4, v3, v2) = v0))
% 34.04/5.55 |
% 34.04/5.55 | DELTA: instantiating (38) with fresh symbol all_34_0 gives:
% 34.04/5.55 | (52) ~ (all_34_0 = 0) & holdsAt(forwards, n0) = all_34_0
% 34.04/5.55 |
% 34.04/5.55 | ALPHA: (52) implies:
% 34.04/5.55 | (53) ~ (all_34_0 = 0)
% 34.04/5.55 | (54) holdsAt(forwards, n0) = all_34_0
% 34.04/5.55 |
% 34.04/5.55 | DELTA: instantiating (42) with fresh symbol all_36_0 gives:
% 34.04/5.55 | (55) ~ (all_36_0 = 0) & holdsAt(spinning, n0) = all_36_0
% 34.04/5.55 |
% 34.04/5.55 | ALPHA: (55) implies:
% 34.04/5.55 | (56) ~ (all_36_0 = 0)
% 34.04/5.55 | (57) holdsAt(spinning, n0) = all_36_0
% 34.04/5.55 |
% 34.04/5.55 | DELTA: instantiating (40) with fresh symbol all_38_0 gives:
% 34.04/5.55 | (58) ~ (all_38_0 = 0) & holdsAt(backwards, n0) = all_38_0
% 34.04/5.55 |
% 34.04/5.55 | ALPHA: (58) implies:
% 34.04/5.55 | (59) ~ (all_38_0 = 0)
% 34.04/5.55 | (60) holdsAt(backwards, n0) = all_38_0
% 34.04/5.55 |
% 34.04/5.55 | GROUND_INST: instantiating (7) with forwards, n0, all_34_0, simplifying with
% 34.04/5.55 | (37), (41), (54) gives:
% 34.04/5.55 | (61) all_34_0 = 0 | ? [v0: $i] : ? [v1: any] : ? [v2: any] : ? [v3: $i]
% 34.04/5.55 | : ? [v4: int] : ? [v5: int] : ($i(v3) & ((v5 = 0 & v4 = 0 &
% 34.04/5.55 | initiates(v3, forwards, n0) = 0 & happens(v3, n0) = 0) |
% 34.04/5.55 | (releasedAt(forwards, v0) = v1 & plus(n0, n1) = v0 &
% 34.04/5.55 | holdsAt(forwards, v0) = v2 & $i(v0) & ( ~ (v2 = 0) | v1 = 0))))
% 34.04/5.55 |
% 34.04/5.55 | GROUND_INST: instantiating (7) with backwards, n0, all_38_0, simplifying with
% 34.04/5.55 | (39), (41), (60) gives:
% 34.04/5.55 | (62) all_38_0 = 0 | ? [v0: $i] : ? [v1: any] : ? [v2: any] : ? [v3: $i]
% 34.04/5.55 | : ? [v4: int] : ? [v5: int] : ($i(v3) & ((v5 = 0 & v4 = 0 &
% 34.04/5.55 | initiates(v3, backwards, n0) = 0 & happens(v3, n0) = 0) |
% 34.04/5.55 | (releasedAt(backwards, v0) = v1 & plus(n0, n1) = v0 &
% 34.04/5.55 | holdsAt(backwards, v0) = v2 & $i(v0) & ( ~ (v2 = 0) | v1 = 0))))
% 34.04/5.55 |
% 34.04/5.55 | GROUND_INST: instantiating (7) with spinning, n0, all_36_0, simplifying with
% 34.04/5.55 | (41), (44), (57) gives:
% 34.04/5.55 | (63) all_36_0 = 0 | ? [v0: $i] : ? [v1: any] : ? [v2: any] : ? [v3: $i]
% 34.04/5.55 | : ? [v4: int] : ? [v5: int] : ($i(v3) & ((v5 = 0 & v4 = 0 &
% 34.04/5.55 | initiates(v3, spinning, n0) = 0 & happens(v3, n0) = 0) |
% 34.04/5.55 | (releasedAt(spinning, v0) = v1 & plus(n0, n1) = v0 &
% 34.04/5.55 | holdsAt(spinning, v0) = v2 & $i(v0) & ( ~ (v2 = 0) | v1 = 0))))
% 34.04/5.55 |
% 34.04/5.55 | GROUND_INST: instantiating (5) with spinning, n1, simplifying with (43), (44),
% 34.04/5.55 | (45) gives:
% 34.04/5.55 | (64) ? [v0: $i] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: int]
% 34.04/5.55 | : ? [v5: int] : ($i(v3) & ((v5 = 0 & v4 = 0 & happens(v3, n1) = 0 &
% 34.04/5.55 | terminates(v3, spinning, n1) = 0) | (releasedAt(spinning, v0) =
% 34.04/5.55 | v1 & plus(n1, n1) = v0 & holdsAt(spinning, v0) = v2 & $i(v0) &
% 34.04/5.55 | (v2 = 0 | v1 = 0))))
% 34.04/5.55 |
% 34.04/5.55 | GROUND_INST: instantiating (6) with spinning, n0, n1, simplifying with (21),
% 34.04/5.55 | (41), (44), (45) gives:
% 34.04/5.55 | (65) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: int] : ? [v4:
% 34.04/5.55 | int] : ($i(v2) & ((v4 = 0 & v3 = 0 & initiates(v2, spinning, n0) = 0
% 34.04/5.55 | & happens(v2, n0) = 0) | (releasedAt(spinning, n1) = v1 &
% 34.04/5.55 | holdsAt(spinning, n0) = v0 & (v1 = 0 | v0 = 0))))
% 34.04/5.55 |
% 34.04/5.55 | GROUND_INST: instantiating (28) with n1, n0, n1, simplifying with (21), (41),
% 34.04/5.55 | (43) gives:
% 34.04/5.55 | (66) plus(n1, n0) = n1
% 34.04/5.55 |
% 34.04/5.55 | GROUND_INST: instantiating (28) with n2, n1, n3, simplifying with (24), (34),
% 34.04/5.55 | (43) gives:
% 34.04/5.56 | (67) plus(n2, n1) = n3 & $i(n3)
% 34.04/5.56 |
% 34.04/5.56 | ALPHA: (67) implies:
% 34.04/5.56 | (68) $i(n3)
% 34.04/5.56 |
% 34.04/5.56 | DELTA: instantiating (65) with fresh symbols all_46_0, all_46_1, all_46_2,
% 34.04/5.56 | all_46_3, all_46_4 gives:
% 34.04/5.56 | (69) $i(all_46_2) & ((all_46_0 = 0 & all_46_1 = 0 & initiates(all_46_2,
% 34.04/5.56 | spinning, n0) = 0 & happens(all_46_2, n0) = 0) |
% 34.04/5.56 | (releasedAt(spinning, n1) = all_46_3 & holdsAt(spinning, n0) =
% 34.04/5.56 | all_46_4 & (all_46_3 = 0 | all_46_4 = 0)))
% 34.04/5.56 |
% 34.04/5.56 | ALPHA: (69) implies:
% 34.04/5.56 | (70) $i(all_46_2)
% 34.04/5.56 | (71) (all_46_0 = 0 & all_46_1 = 0 & initiates(all_46_2, spinning, n0) = 0 &
% 34.04/5.56 | happens(all_46_2, n0) = 0) | (releasedAt(spinning, n1) = all_46_3 &
% 34.04/5.56 | holdsAt(spinning, n0) = all_46_4 & (all_46_3 = 0 | all_46_4 = 0))
% 34.04/5.56 |
% 34.04/5.56 | DELTA: instantiating (64) with fresh symbols all_48_0, all_48_1, all_48_2,
% 34.04/5.56 | all_48_3, all_48_4, all_48_5 gives:
% 34.04/5.56 | (72) $i(all_48_2) & ((all_48_0 = 0 & all_48_1 = 0 & happens(all_48_2, n1) =
% 34.04/5.56 | 0 & terminates(all_48_2, spinning, n1) = 0) |
% 34.04/5.56 | (releasedAt(spinning, all_48_5) = all_48_4 & plus(n1, n1) = all_48_5
% 34.04/5.56 | & holdsAt(spinning, all_48_5) = all_48_3 & $i(all_48_5) &
% 34.04/5.56 | (all_48_3 = 0 | all_48_4 = 0)))
% 34.04/5.56 |
% 34.04/5.56 | ALPHA: (72) implies:
% 34.04/5.56 | (73) $i(all_48_2)
% 34.04/5.56 | (74) (all_48_0 = 0 & all_48_1 = 0 & happens(all_48_2, n1) = 0 &
% 34.04/5.56 | terminates(all_48_2, spinning, n1) = 0) | (releasedAt(spinning,
% 34.04/5.56 | all_48_5) = all_48_4 & plus(n1, n1) = all_48_5 & holdsAt(spinning,
% 34.04/5.56 | all_48_5) = all_48_3 & $i(all_48_5) & (all_48_3 = 0 | all_48_4 =
% 34.04/5.56 | 0))
% 34.04/5.56 |
% 34.04/5.56 | BETA: splitting (63) gives:
% 34.04/5.56 |
% 34.04/5.56 | Case 1:
% 34.04/5.56 | |
% 34.04/5.56 | | (75) all_36_0 = 0
% 34.04/5.56 | |
% 34.04/5.56 | | REDUCE: (56), (75) imply:
% 34.04/5.56 | | (76) $false
% 34.04/5.56 | |
% 34.04/5.56 | | CLOSE: (76) is inconsistent.
% 34.04/5.56 | |
% 34.04/5.56 | Case 2:
% 34.04/5.56 | |
% 34.04/5.56 | | (77) ? [v0: $i] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 34.04/5.56 | | int] : ? [v5: int] : ($i(v3) & ((v5 = 0 & v4 = 0 & initiates(v3,
% 34.04/5.56 | | spinning, n0) = 0 & happens(v3, n0) = 0) |
% 34.04/5.56 | | (releasedAt(spinning, v0) = v1 & plus(n0, n1) = v0 &
% 34.04/5.56 | | holdsAt(spinning, v0) = v2 & $i(v0) & ( ~ (v2 = 0) | v1 =
% 34.04/5.56 | | 0))))
% 34.04/5.56 | |
% 34.04/5.56 | | DELTA: instantiating (77) with fresh symbols all_54_0, all_54_1, all_54_2,
% 34.04/5.56 | | all_54_3, all_54_4, all_54_5 gives:
% 34.04/5.56 | | (78) $i(all_54_2) & ((all_54_0 = 0 & all_54_1 = 0 & initiates(all_54_2,
% 34.04/5.56 | | spinning, n0) = 0 & happens(all_54_2, n0) = 0) |
% 34.04/5.56 | | (releasedAt(spinning, all_54_5) = all_54_4 & plus(n0, n1) =
% 34.04/5.56 | | all_54_5 & holdsAt(spinning, all_54_5) = all_54_3 & $i(all_54_5)
% 34.04/5.56 | | & ( ~ (all_54_3 = 0) | all_54_4 = 0)))
% 34.04/5.56 | |
% 34.04/5.56 | | ALPHA: (78) implies:
% 34.04/5.56 | | (79) $i(all_54_2)
% 34.04/5.56 | | (80) (all_54_0 = 0 & all_54_1 = 0 & initiates(all_54_2, spinning, n0) = 0
% 34.04/5.56 | | & happens(all_54_2, n0) = 0) | (releasedAt(spinning, all_54_5) =
% 34.04/5.56 | | all_54_4 & plus(n0, n1) = all_54_5 & holdsAt(spinning, all_54_5) =
% 34.04/5.56 | | all_54_3 & $i(all_54_5) & ( ~ (all_54_3 = 0) | all_54_4 = 0))
% 34.04/5.56 | |
% 34.04/5.56 | | BETA: splitting (62) gives:
% 34.04/5.56 | |
% 34.04/5.56 | | Case 1:
% 34.04/5.56 | | |
% 34.04/5.56 | | | (81) all_38_0 = 0
% 34.04/5.56 | | |
% 34.04/5.56 | | | REDUCE: (59), (81) imply:
% 34.04/5.56 | | | (82) $false
% 34.04/5.56 | | |
% 34.04/5.56 | | | CLOSE: (82) is inconsistent.
% 34.04/5.56 | | |
% 34.04/5.56 | | Case 2:
% 34.04/5.56 | | |
% 34.04/5.56 | | | (83) ? [v0: $i] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 34.04/5.56 | | | int] : ? [v5: int] : ($i(v3) & ((v5 = 0 & v4 = 0 &
% 34.04/5.56 | | | initiates(v3, backwards, n0) = 0 & happens(v3, n0) = 0) |
% 34.04/5.56 | | | (releasedAt(backwards, v0) = v1 & plus(n0, n1) = v0 &
% 34.04/5.56 | | | holdsAt(backwards, v0) = v2 & $i(v0) & ( ~ (v2 = 0) | v1 =
% 34.04/5.56 | | | 0))))
% 34.04/5.56 | | |
% 34.04/5.56 | | | DELTA: instantiating (83) with fresh symbols all_59_0, all_59_1, all_59_2,
% 34.04/5.56 | | | all_59_3, all_59_4, all_59_5 gives:
% 34.04/5.56 | | | (84) $i(all_59_2) & ((all_59_0 = 0 & all_59_1 = 0 & initiates(all_59_2,
% 34.04/5.56 | | | backwards, n0) = 0 & happens(all_59_2, n0) = 0) |
% 34.04/5.56 | | | (releasedAt(backwards, all_59_5) = all_59_4 & plus(n0, n1) =
% 34.04/5.56 | | | all_59_5 & holdsAt(backwards, all_59_5) = all_59_3 &
% 34.04/5.56 | | | $i(all_59_5) & ( ~ (all_59_3 = 0) | all_59_4 = 0)))
% 34.04/5.56 | | |
% 34.04/5.56 | | | ALPHA: (84) implies:
% 34.04/5.56 | | | (85) $i(all_59_2)
% 34.04/5.56 | | | (86) (all_59_0 = 0 & all_59_1 = 0 & initiates(all_59_2, backwards, n0)
% 34.04/5.56 | | | = 0 & happens(all_59_2, n0) = 0) | (releasedAt(backwards,
% 34.04/5.56 | | | all_59_5) = all_59_4 & plus(n0, n1) = all_59_5 &
% 34.04/5.56 | | | holdsAt(backwards, all_59_5) = all_59_3 & $i(all_59_5) & ( ~
% 34.04/5.56 | | | (all_59_3 = 0) | all_59_4 = 0))
% 34.04/5.56 | | |
% 34.04/5.56 | | | BETA: splitting (61) gives:
% 34.04/5.56 | | |
% 34.04/5.56 | | | Case 1:
% 34.04/5.56 | | | |
% 34.04/5.56 | | | | (87) all_34_0 = 0
% 34.04/5.56 | | | |
% 34.04/5.56 | | | | REDUCE: (53), (87) imply:
% 34.04/5.56 | | | | (88) $false
% 34.04/5.56 | | | |
% 34.04/5.56 | | | | CLOSE: (88) is inconsistent.
% 34.04/5.56 | | | |
% 34.04/5.56 | | | Case 2:
% 34.04/5.56 | | | |
% 34.04/5.56 | | | | (89) ? [v0: $i] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ?
% 34.04/5.56 | | | | [v4: int] : ? [v5: int] : ($i(v3) & ((v5 = 0 & v4 = 0 &
% 34.04/5.56 | | | | initiates(v3, forwards, n0) = 0 & happens(v3, n0) = 0) |
% 34.04/5.56 | | | | (releasedAt(forwards, v0) = v1 & plus(n0, n1) = v0 &
% 34.04/5.56 | | | | holdsAt(forwards, v0) = v2 & $i(v0) & ( ~ (v2 = 0) | v1 =
% 34.04/5.56 | | | | 0))))
% 34.04/5.56 | | | |
% 34.04/5.56 | | | | DELTA: instantiating (89) with fresh symbols all_64_0, all_64_1,
% 34.04/5.56 | | | | all_64_2, all_64_3, all_64_4, all_64_5 gives:
% 34.04/5.57 | | | | (90) $i(all_64_2) & ((all_64_0 = 0 & all_64_1 = 0 &
% 34.04/5.57 | | | | initiates(all_64_2, forwards, n0) = 0 & happens(all_64_2,
% 34.04/5.57 | | | | n0) = 0) | (releasedAt(forwards, all_64_5) = all_64_4 &
% 34.04/5.57 | | | | plus(n0, n1) = all_64_5 & holdsAt(forwards, all_64_5) =
% 34.04/5.57 | | | | all_64_3 & $i(all_64_5) & ( ~ (all_64_3 = 0) | all_64_4 =
% 34.04/5.57 | | | | 0)))
% 34.04/5.57 | | | |
% 34.04/5.57 | | | | ALPHA: (90) implies:
% 34.04/5.57 | | | | (91) $i(all_64_2)
% 34.04/5.57 | | | | (92) (all_64_0 = 0 & all_64_1 = 0 & initiates(all_64_2, forwards, n0)
% 34.04/5.57 | | | | = 0 & happens(all_64_2, n0) = 0) | (releasedAt(forwards,
% 34.04/5.57 | | | | all_64_5) = all_64_4 & plus(n0, n1) = all_64_5 &
% 34.04/5.57 | | | | holdsAt(forwards, all_64_5) = all_64_3 & $i(all_64_5) & ( ~
% 34.04/5.57 | | | | (all_64_3 = 0) | all_64_4 = 0))
% 34.04/5.57 | | | |
% 34.04/5.57 | | | | BETA: splitting (71) gives:
% 34.04/5.57 | | | |
% 34.04/5.57 | | | | Case 1:
% 34.04/5.57 | | | | |
% 34.04/5.57 | | | | | (93) all_46_0 = 0 & all_46_1 = 0 & initiates(all_46_2, spinning,
% 34.04/5.57 | | | | | n0) = 0 & happens(all_46_2, n0) = 0
% 34.04/5.57 | | | | |
% 34.04/5.57 | | | | | ALPHA: (93) implies:
% 34.04/5.57 | | | | | (94) happens(all_46_2, n0) = 0
% 34.04/5.57 | | | | | (95) initiates(all_46_2, spinning, n0) = 0
% 34.04/5.57 | | | | |
% 34.04/5.57 | | | | | GROUND_INST: instantiating (14) with all_46_2, n0, simplifying with
% 34.04/5.57 | | | | | (41), (70), (94) gives:
% 34.04/5.57 | | | | | (96) all_46_2 = push | n2 = n0 | n1 = n0
% 34.04/5.57 | | | | |
% 34.21/5.57 | | | | | GROUND_INST: instantiating (3) with all_46_2, n0, spinning, spinning,
% 34.21/5.57 | | | | | n0, n0, all_36_0, simplifying with (20), (41), (44),
% 34.21/5.57 | | | | | (57), (70), (95) gives:
% 34.21/5.57 | | | | | (97) all_36_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 34.21/5.57 | | | | | [v3: any] : (trajectory(spinning, n0, spinning, n0) = v2 &
% 34.21/5.57 | | | | | stoppedIn(n0, spinning, n0) = v3 & happens(all_46_2, n0) =
% 34.21/5.57 | | | | | v0 & less(n0, n0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0
% 34.21/5.57 | | | | | = 0) | v3 = 0))
% 34.21/5.57 | | | | |
% 34.21/5.57 | | | | | GROUND_INST: instantiating (3) with all_46_2, n0, spinning, backwards,
% 34.21/5.57 | | | | | n0, n0, all_38_0, simplifying with (20), (39), (41),
% 34.21/5.57 | | | | | (44), (60), (70), (95) gives:
% 34.21/5.57 | | | | | (98) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 34.21/5.57 | | | | | [v3: any] : (trajectory(spinning, n0, backwards, n0) = v2 &
% 34.21/5.57 | | | | | stoppedIn(n0, spinning, n0) = v3 & happens(all_46_2, n0) =
% 34.21/5.57 | | | | | v0 & less(n0, n0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0
% 34.21/5.57 | | | | | = 0) | v3 = 0))
% 34.21/5.57 | | | | |
% 34.21/5.57 | | | | | GROUND_INST: instantiating (3) with all_46_2, n0, spinning, forwards,
% 34.21/5.57 | | | | | n0, n0, all_34_0, simplifying with (20), (37), (41),
% 34.21/5.57 | | | | | (44), (54), (70), (95) gives:
% 34.21/5.57 | | | | | (99) all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ?
% 34.21/5.57 | | | | | [v3: any] : (trajectory(spinning, n0, forwards, n0) = v2 &
% 34.21/5.57 | | | | | stoppedIn(n0, spinning, n0) = v3 & happens(all_46_2, n0) =
% 34.21/5.57 | | | | | v0 & less(n0, n0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0
% 34.21/5.57 | | | | | = 0) | v3 = 0))
% 34.21/5.57 | | | | |
% 34.21/5.57 | | | | | GROUND_INST: instantiating (12) with all_46_2, spinning, n0,
% 34.21/5.57 | | | | | simplifying with (41), (44), (70), (95) gives:
% 34.21/5.57 | | | | | (100) ? [v0: any] : ? [v1: any] : (happens(pull, n0) = v0 &
% 34.21/5.57 | | | | | happens(push, n0) = v1 & ((v1 = 0 & all_46_2 = pull) |
% 34.21/5.57 | | | | | (all_46_2 = pull & spinning = backwards & ~ (v1 = 0)) |
% 34.21/5.57 | | | | | (all_46_2 = push & spinning = forwards & ~ (v0 = 0))))
% 34.21/5.57 | | | | |
% 34.21/5.57 | | | | | GROUND_INST: instantiating (11) with all_46_2, n0, spinning, 0,
% 34.21/5.57 | | | | | simplifying with (41), (44), (70), (95) gives:
% 34.21/5.57 | | | | | (101) ? [v0: any] : ? [v1: MultipleValueBool] : ? [v2: $i] : ?
% 34.21/5.57 | | | | | [v3: any] : (releasedAt(spinning, v2) = v3 & plus(n0, n1) =
% 34.21/5.57 | | | | | v2 & happens(all_46_2, n0) = v0 & terminates(all_46_2,
% 34.21/5.57 | | | | | spinning, n0) = v1 & $i(v2) & ( ~ (v3 = 0) | ~ (v0 =
% 34.21/5.57 | | | | | 0)))
% 34.21/5.57 | | | | |
% 34.21/5.57 | | | | | DELTA: instantiating (101) with fresh symbols all_78_0, all_78_1,
% 34.21/5.57 | | | | | all_78_2, all_78_3 gives:
% 34.21/5.57 | | | | | (102) releasedAt(spinning, all_78_1) = all_78_0 & plus(n0, n1) =
% 34.21/5.57 | | | | | all_78_1 & happens(all_46_2, n0) = all_78_3 &
% 34.21/5.57 | | | | | terminates(all_46_2, spinning, n0) = all_78_2 & $i(all_78_1)
% 34.21/5.57 | | | | | & ( ~ (all_78_0 = 0) | ~ (all_78_3 = 0))
% 34.21/5.57 | | | | |
% 34.21/5.57 | | | | | ALPHA: (102) implies:
% 34.21/5.57 | | | | | (103) $i(all_78_1)
% 34.21/5.57 | | | | | (104) happens(all_46_2, n0) = all_78_3
% 34.21/5.57 | | | | | (105) plus(n0, n1) = all_78_1
% 34.21/5.57 | | | | | (106) releasedAt(spinning, all_78_1) = all_78_0
% 34.21/5.57 | | | | | (107) ~ (all_78_0 = 0) | ~ (all_78_3 = 0)
% 34.21/5.57 | | | | |
% 34.21/5.57 | | | | | DELTA: instantiating (100) with fresh symbols all_80_0, all_80_1
% 34.21/5.57 | | | | | gives:
% 34.21/5.57 | | | | | (108) happens(pull, n0) = all_80_1 & happens(push, n0) = all_80_0 &
% 34.21/5.57 | | | | | ((all_80_0 = 0 & all_46_2 = pull) | (all_46_2 = pull &
% 34.21/5.57 | | | | | spinning = backwards & ~ (all_80_0 = 0)) | (all_46_2 =
% 34.21/5.57 | | | | | push & spinning = forwards & ~ (all_80_1 = 0)))
% 34.21/5.57 | | | | |
% 34.21/5.57 | | | | | ALPHA: (108) implies:
% 34.21/5.57 | | | | | (109) happens(push, n0) = all_80_0
% 34.21/5.57 | | | | | (110) happens(pull, n0) = all_80_1
% 34.21/5.57 | | | | | (111) (all_80_0 = 0 & all_46_2 = pull) | (all_46_2 = pull &
% 34.21/5.57 | | | | | spinning = backwards & ~ (all_80_0 = 0)) | (all_46_2 =
% 34.21/5.57 | | | | | push & spinning = forwards & ~ (all_80_1 = 0))
% 34.21/5.57 | | | | |
% 34.21/5.57 | | | | | BETA: splitting (111) gives:
% 34.21/5.57 | | | | |
% 34.21/5.57 | | | | | Case 1:
% 34.21/5.57 | | | | | |
% 34.21/5.57 | | | | | | (112) all_80_0 = 0 & all_46_2 = pull
% 34.21/5.57 | | | | | |
% 34.21/5.57 | | | | | | ALPHA: (112) implies:
% 34.21/5.57 | | | | | | (113) all_46_2 = pull
% 34.21/5.57 | | | | | | (114) all_80_0 = 0
% 34.21/5.57 | | | | | |
% 34.21/5.57 | | | | | | REDUCE: (104), (113) imply:
% 34.21/5.57 | | | | | | (115) happens(pull, n0) = all_78_3
% 34.21/5.57 | | | | | |
% 34.21/5.57 | | | | | | REDUCE: (94), (113) imply:
% 34.21/5.58 | | | | | | (116) happens(pull, n0) = 0
% 34.21/5.58 | | | | | |
% 34.21/5.58 | | | | | | REDUCE: (109), (114) imply:
% 34.21/5.58 | | | | | | (117) happens(push, n0) = 0
% 34.21/5.58 | | | | | |
% 34.21/5.58 | | | | | | BETA: splitting (99) gives:
% 34.21/5.58 | | | | | |
% 34.21/5.58 | | | | | | Case 1:
% 34.21/5.58 | | | | | | |
% 34.21/5.58 | | | | | | | (118) all_34_0 = 0
% 34.21/5.58 | | | | | | |
% 34.21/5.58 | | | | | | | REDUCE: (53), (118) imply:
% 34.21/5.58 | | | | | | | (119) $false
% 34.21/5.58 | | | | | | |
% 34.21/5.58 | | | | | | | CLOSE: (119) is inconsistent.
% 34.21/5.58 | | | | | | |
% 34.21/5.58 | | | | | | Case 2:
% 34.21/5.58 | | | | | | |
% 34.21/5.58 | | | | | | | (120) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any]
% 34.21/5.58 | | | | | | | : (trajectory(spinning, n0, forwards, n0) = v2 &
% 34.21/5.58 | | | | | | | stoppedIn(n0, spinning, n0) = v3 & happens(all_46_2,
% 34.21/5.58 | | | | | | | n0) = v0 & less(n0, n0) = v1 & ( ~ (v2 = 0) | ~ (v1
% 34.21/5.58 | | | | | | | = 0) | ~ (v0 = 0) | v3 = 0))
% 34.21/5.58 | | | | | | |
% 34.21/5.58 | | | | | | | DELTA: instantiating (120) with fresh symbols all_89_0, all_89_1,
% 34.21/5.58 | | | | | | | all_89_2, all_89_3 gives:
% 34.21/5.58 | | | | | | | (121) trajectory(spinning, n0, forwards, n0) = all_89_1 &
% 34.21/5.58 | | | | | | | stoppedIn(n0, spinning, n0) = all_89_0 &
% 34.21/5.58 | | | | | | | happens(all_46_2, n0) = all_89_3 & less(n0, n0) =
% 34.21/5.58 | | | | | | | all_89_2 & ( ~ (all_89_1 = 0) | ~ (all_89_2 = 0) | ~
% 34.21/5.58 | | | | | | | (all_89_3 = 0) | all_89_0 = 0)
% 34.21/5.58 | | | | | | |
% 34.21/5.58 | | | | | | | ALPHA: (121) implies:
% 34.21/5.58 | | | | | | | (122) less(n0, n0) = all_89_2
% 34.21/5.58 | | | | | | | (123) happens(all_46_2, n0) = all_89_3
% 34.21/5.58 | | | | | | | (124) stoppedIn(n0, spinning, n0) = all_89_0
% 34.21/5.58 | | | | | | |
% 34.21/5.58 | | | | | | | REDUCE: (113), (123) imply:
% 34.21/5.58 | | | | | | | (125) happens(pull, n0) = all_89_3
% 34.21/5.58 | | | | | | |
% 34.21/5.58 | | | | | | | BETA: splitting (98) gives:
% 34.21/5.58 | | | | | | |
% 34.21/5.58 | | | | | | | Case 1:
% 34.21/5.58 | | | | | | | |
% 34.21/5.58 | | | | | | | | (126) all_38_0 = 0
% 34.21/5.58 | | | | | | | |
% 34.21/5.58 | | | | | | | | REDUCE: (59), (126) imply:
% 34.21/5.58 | | | | | | | | (127) $false
% 34.21/5.58 | | | | | | | |
% 34.21/5.58 | | | | | | | | CLOSE: (127) is inconsistent.
% 34.21/5.58 | | | | | | | |
% 34.21/5.58 | | | | | | | Case 2:
% 34.21/5.58 | | | | | | | |
% 34.21/5.58 | | | | | | | | (128) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 34.21/5.58 | | | | | | | | any] : (trajectory(spinning, n0, backwards, n0) = v2
% 34.21/5.58 | | | | | | | | & stoppedIn(n0, spinning, n0) = v3 &
% 34.21/5.58 | | | | | | | | happens(all_46_2, n0) = v0 & less(n0, n0) = v1 & ( ~
% 34.21/5.58 | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0))
% 34.21/5.58 | | | | | | | |
% 34.21/5.58 | | | | | | | | DELTA: instantiating (128) with fresh symbols all_94_0,
% 34.21/5.58 | | | | | | | | all_94_1, all_94_2, all_94_3 gives:
% 34.21/5.58 | | | | | | | | (129) trajectory(spinning, n0, backwards, n0) = all_94_1 &
% 34.21/5.58 | | | | | | | | stoppedIn(n0, spinning, n0) = all_94_0 &
% 34.21/5.58 | | | | | | | | happens(all_46_2, n0) = all_94_3 & less(n0, n0) =
% 34.21/5.58 | | | | | | | | all_94_2 & ( ~ (all_94_1 = 0) | ~ (all_94_2 = 0) | ~
% 34.21/5.58 | | | | | | | | (all_94_3 = 0) | all_94_0 = 0)
% 34.21/5.58 | | | | | | | |
% 34.21/5.58 | | | | | | | | ALPHA: (129) implies:
% 34.21/5.58 | | | | | | | | (130) less(n0, n0) = all_94_2
% 34.21/5.58 | | | | | | | | (131) happens(all_46_2, n0) = all_94_3
% 34.21/5.58 | | | | | | | | (132) stoppedIn(n0, spinning, n0) = all_94_0
% 34.21/5.58 | | | | | | | |
% 34.21/5.58 | | | | | | | | REDUCE: (113), (131) imply:
% 34.21/5.58 | | | | | | | | (133) happens(pull, n0) = all_94_3
% 34.21/5.58 | | | | | | | |
% 34.21/5.58 | | | | | | | | BETA: splitting (97) gives:
% 34.21/5.58 | | | | | | | |
% 34.21/5.58 | | | | | | | | Case 1:
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | (134) all_36_0 = 0
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | REDUCE: (56), (134) imply:
% 34.21/5.58 | | | | | | | | | (135) $false
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | CLOSE: (135) is inconsistent.
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | Case 2:
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | (136) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 34.21/5.58 | | | | | | | | | any] : (trajectory(spinning, n0, spinning, n0) = v2
% 34.21/5.58 | | | | | | | | | & stoppedIn(n0, spinning, n0) = v3 &
% 34.21/5.58 | | | | | | | | | happens(all_46_2, n0) = v0 & less(n0, n0) = v1 & (
% 34.21/5.58 | | | | | | | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0))
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | DELTA: instantiating (136) with fresh symbols all_100_0,
% 34.21/5.58 | | | | | | | | | all_100_1, all_100_2, all_100_3 gives:
% 34.21/5.58 | | | | | | | | | (137) trajectory(spinning, n0, spinning, n0) = all_100_1 &
% 34.21/5.58 | | | | | | | | | stoppedIn(n0, spinning, n0) = all_100_0 &
% 34.21/5.58 | | | | | | | | | happens(all_46_2, n0) = all_100_3 & less(n0, n0) =
% 34.21/5.58 | | | | | | | | | all_100_2 & ( ~ (all_100_1 = 0) | ~ (all_100_2 = 0)
% 34.21/5.58 | | | | | | | | | | ~ (all_100_3 = 0) | all_100_0 = 0)
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | ALPHA: (137) implies:
% 34.21/5.58 | | | | | | | | | (138) less(n0, n0) = all_100_2
% 34.21/5.58 | | | | | | | | | (139) happens(all_46_2, n0) = all_100_3
% 34.21/5.58 | | | | | | | | | (140) stoppedIn(n0, spinning, n0) = all_100_0
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | REDUCE: (113), (139) imply:
% 34.21/5.58 | | | | | | | | | (141) happens(pull, n0) = all_100_3
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | GROUND_INST: instantiating (46) with all_94_2, all_100_2, n0,
% 34.21/5.58 | | | | | | | | | n0, simplifying with (130), (138) gives:
% 34.21/5.58 | | | | | | | | | (142) all_100_2 = all_94_2
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | GROUND_INST: instantiating (46) with all_89_2, all_100_2, n0,
% 34.21/5.58 | | | | | | | | | n0, simplifying with (122), (138) gives:
% 34.21/5.58 | | | | | | | | | (143) all_100_2 = all_89_2
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | GROUND_INST: instantiating (47) with 0, all_80_1, n0, pull,
% 34.21/5.58 | | | | | | | | | simplifying with (110), (116) gives:
% 34.21/5.58 | | | | | | | | | (144) all_80_1 = 0
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | GROUND_INST: instantiating (47) with all_78_3, all_94_3, n0,
% 34.21/5.58 | | | | | | | | | pull, simplifying with (115), (133) gives:
% 34.21/5.58 | | | | | | | | | (145) all_94_3 = all_78_3
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | GROUND_INST: instantiating (47) with all_94_3, all_100_3, n0,
% 34.21/5.58 | | | | | | | | | pull, simplifying with (133), (141) gives:
% 34.21/5.58 | | | | | | | | | (146) all_100_3 = all_94_3
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | GROUND_INST: instantiating (47) with all_89_3, all_100_3, n0,
% 34.21/5.58 | | | | | | | | | pull, simplifying with (125), (141) gives:
% 34.21/5.58 | | | | | | | | | (147) all_100_3 = all_89_3
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | GROUND_INST: instantiating (47) with all_80_1, all_100_3, n0,
% 34.21/5.58 | | | | | | | | | pull, simplifying with (110), (141) gives:
% 34.21/5.58 | | | | | | | | | (148) all_100_3 = all_80_1
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | GROUND_INST: instantiating (51) with all_94_0, all_100_0, n0,
% 34.21/5.58 | | | | | | | | | spinning, n0, simplifying with (132), (140) gives:
% 34.21/5.58 | | | | | | | | | (149) all_100_0 = all_94_0
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | GROUND_INST: instantiating (51) with all_89_0, all_100_0, n0,
% 34.21/5.58 | | | | | | | | | spinning, n0, simplifying with (124), (140) gives:
% 34.21/5.58 | | | | | | | | | (150) all_100_0 = all_89_0
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | GROUND_INST: instantiating (49) with n1, all_78_1, n1, n0,
% 34.21/5.58 | | | | | | | | | simplifying with (21), (105) gives:
% 34.21/5.58 | | | | | | | | | (151) all_78_1 = n1
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | COMBINE_EQS: (149), (150) imply:
% 34.21/5.58 | | | | | | | | | (152) all_94_0 = all_89_0
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | COMBINE_EQS: (142), (143) imply:
% 34.21/5.58 | | | | | | | | | (153) all_94_2 = all_89_2
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | SIMP: (153) implies:
% 34.21/5.58 | | | | | | | | | (154) all_94_2 = all_89_2
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | COMBINE_EQS: (147), (148) imply:
% 34.21/5.58 | | | | | | | | | (155) all_89_3 = all_80_1
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | COMBINE_EQS: (146), (147) imply:
% 34.21/5.58 | | | | | | | | | (156) all_94_3 = all_89_3
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | SIMP: (156) implies:
% 34.21/5.58 | | | | | | | | | (157) all_94_3 = all_89_3
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | COMBINE_EQS: (145), (157) imply:
% 34.21/5.58 | | | | | | | | | (158) all_89_3 = all_78_3
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | SIMP: (158) implies:
% 34.21/5.58 | | | | | | | | | (159) all_89_3 = all_78_3
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | COMBINE_EQS: (155), (159) imply:
% 34.21/5.58 | | | | | | | | | (160) all_80_1 = all_78_3
% 34.21/5.58 | | | | | | | | |
% 34.21/5.58 | | | | | | | | | SIMP: (160) implies:
% 34.21/5.59 | | | | | | | | | (161) all_80_1 = all_78_3
% 34.21/5.59 | | | | | | | | |
% 34.21/5.59 | | | | | | | | | COMBINE_EQS: (144), (161) imply:
% 34.21/5.59 | | | | | | | | | (162) all_78_3 = 0
% 34.21/5.59 | | | | | | | | |
% 34.21/5.59 | | | | | | | | | REDUCE: (106), (151) imply:
% 34.21/5.59 | | | | | | | | | (163) releasedAt(spinning, n1) = all_78_0
% 34.21/5.59 | | | | | | | | |
% 34.21/5.59 | | | | | | | | | BETA: splitting (107) gives:
% 34.21/5.59 | | | | | | | | |
% 34.21/5.59 | | | | | | | | | Case 1:
% 34.21/5.59 | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | (164) ~ (all_78_0 = 0)
% 34.21/5.59 | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | BETA: splitting (80) gives:
% 34.21/5.59 | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | Case 1:
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | (165) all_54_0 = 0 & all_54_1 = 0 & initiates(all_54_2,
% 34.21/5.59 | | | | | | | | | | | spinning, n0) = 0 & happens(all_54_2, n0) = 0
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | ALPHA: (165) implies:
% 34.21/5.59 | | | | | | | | | | | (166) happens(all_54_2, n0) = 0
% 34.21/5.59 | | | | | | | | | | | (167) initiates(all_54_2, spinning, n0) = 0
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | GROUND_INST: instantiating (29) with n0, all_89_2, simplifying
% 34.21/5.59 | | | | | | | | | | | with (41), (122) gives:
% 34.21/5.59 | | | | | | | | | | | (168) less_or_equal(n0, n0) = 0
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | GROUND_INST: instantiating (4) with push, n0, spinning,
% 34.21/5.59 | | | | | | | | | | | spinning, n0, n0, all_89_0, all_36_0, simplifying
% 34.21/5.59 | | | | | | | | | | | with (16), (20), (41), (44), (57), (117), (124)
% 34.21/5.59 | | | | | | | | | | | gives:
% 34.21/5.59 | | | | | | | | | | | (169) all_89_0 = 0 | all_36_0 = 0 | ? [v0: any] : ?
% 34.21/5.59 | | | | | | | | | | | [v1: any] : ? [v2: any] : (trajectory(spinning,
% 34.21/5.59 | | | | | | | | | | | n0, spinning, n0) = v2 & initiates(push,
% 34.21/5.59 | | | | | | | | | | | spinning, n0) = v0 & less(n0, n0) = v1 & ( ~
% 34.21/5.59 | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | GROUND_INST: instantiating (2) with n0, spinning, n0, all_89_0,
% 34.21/5.59 | | | | | | | | | | | push, n0, simplifying with (16), (41), (44),
% 34.21/5.59 | | | | | | | | | | | (117), (124) gives:
% 34.21/5.59 | | | | | | | | | | | (170) all_89_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 34.21/5.59 | | | | | | | | | | | [v2: any] : (less(n0, n0) = v1 & less(n0, n0) = v0
% 34.21/5.59 | | | | | | | | | | | & terminates(push, spinning, n0) = v2 & ( ~ (v2
% 34.21/5.59 | | | | | | | | | | | = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | GROUND_INST: instantiating (12) with all_54_2, spinning, n0,
% 34.21/5.59 | | | | | | | | | | | simplifying with (41), (44), (79), (167) gives:
% 34.21/5.59 | | | | | | | | | | | (171) ? [v0: any] : ? [v1: any] : (happens(pull, n0) =
% 34.21/5.59 | | | | | | | | | | | v0 & happens(push, n0) = v1 & ((v1 = 0 &
% 34.21/5.59 | | | | | | | | | | | all_54_2 = pull) | (all_54_2 = pull &
% 34.21/5.59 | | | | | | | | | | | spinning = backwards & ~ (v1 = 0)) |
% 34.21/5.59 | | | | | | | | | | | (all_54_2 = push & spinning = forwards & ~
% 34.21/5.59 | | | | | | | | | | | (v0 = 0))))
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | GROUND_INST: instantiating (11) with all_54_2, n0, spinning, 0,
% 34.21/5.59 | | | | | | | | | | | simplifying with (41), (44), (79), (167) gives:
% 34.21/5.59 | | | | | | | | | | | (172) ? [v0: any] : ? [v1: MultipleValueBool] : ?
% 34.21/5.59 | | | | | | | | | | | [v2: $i] : ? [v3: any] : (releasedAt(spinning,
% 34.21/5.59 | | | | | | | | | | | v2) = v3 & plus(n0, n1) = v2 &
% 34.21/5.59 | | | | | | | | | | | happens(all_54_2, n0) = v0 &
% 34.21/5.59 | | | | | | | | | | | terminates(all_54_2, spinning, n0) = v1 & $i(v2)
% 34.21/5.59 | | | | | | | | | | | & ( ~ (v3 = 0) | ~ (v0 = 0)))
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | GROUND_INST: instantiating (8) with spinning, n1, all_78_0,
% 34.21/5.59 | | | | | | | | | | | simplifying with (43), (44), (163) gives:
% 34.21/5.59 | | | | | | | | | | | (173) all_78_0 = 0 | ? [v0: $i] : ? [v1: int] : ?
% 34.21/5.59 | | | | | | | | | | | [v2: $i] : ? [v3: int] : ? [v4: int] : ($i(v2) &
% 34.21/5.59 | | | | | | | | | | | ((v4 = 0 & v3 = 0 & releases(v2, spinning, n1) =
% 34.21/5.59 | | | | | | | | | | | 0 & happens(v2, n1) = 0) | ( ~ (v1 = 0) &
% 34.21/5.59 | | | | | | | | | | | releasedAt(spinning, v0) = v1 & plus(n1, n1)
% 34.21/5.59 | | | | | | | | | | | = v0 & $i(v0))))
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | DELTA: instantiating (172) with fresh symbols all_120_0,
% 34.21/5.59 | | | | | | | | | | | all_120_1, all_120_2, all_120_3 gives:
% 34.21/5.59 | | | | | | | | | | | (174) releasedAt(spinning, all_120_1) = all_120_0 &
% 34.21/5.59 | | | | | | | | | | | plus(n0, n1) = all_120_1 & happens(all_54_2, n0) =
% 34.21/5.59 | | | | | | | | | | | all_120_3 & terminates(all_54_2, spinning, n0) =
% 34.21/5.59 | | | | | | | | | | | all_120_2 & $i(all_120_1) & ( ~ (all_120_0 = 0) |
% 34.21/5.59 | | | | | | | | | | | ~ (all_120_3 = 0))
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | ALPHA: (174) implies:
% 34.21/5.59 | | | | | | | | | | | (175) happens(all_54_2, n0) = all_120_3
% 34.21/5.59 | | | | | | | | | | | (176) plus(n0, n1) = all_120_1
% 34.21/5.59 | | | | | | | | | | | (177) ~ (all_120_0 = 0) | ~ (all_120_3 = 0)
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | DELTA: instantiating (171) with fresh symbols all_122_0,
% 34.21/5.59 | | | | | | | | | | | all_122_1 gives:
% 34.21/5.59 | | | | | | | | | | | (178) happens(pull, n0) = all_122_1 & happens(push, n0)
% 34.21/5.59 | | | | | | | | | | | = all_122_0 & ((all_122_0 = 0 & all_54_2 = pull) |
% 34.21/5.59 | | | | | | | | | | | (all_54_2 = pull & spinning = backwards & ~
% 34.21/5.59 | | | | | | | | | | | (all_122_0 = 0)) | (all_54_2 = push & spinning
% 34.21/5.59 | | | | | | | | | | | = forwards & ~ (all_122_1 = 0)))
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | ALPHA: (178) implies:
% 34.21/5.59 | | | | | | | | | | | (179) happens(pull, n0) = all_122_1
% 34.21/5.59 | | | | | | | | | | | (180) (all_122_0 = 0 & all_54_2 = pull) | (all_54_2 =
% 34.21/5.59 | | | | | | | | | | | pull & spinning = backwards & ~ (all_122_0 =
% 34.21/5.59 | | | | | | | | | | | 0)) | (all_54_2 = push & spinning = forwards &
% 34.21/5.59 | | | | | | | | | | | ~ (all_122_1 = 0))
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | BETA: splitting (180) gives:
% 34.21/5.59 | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | Case 1:
% 34.21/5.59 | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | (181) all_122_0 = 0 & all_54_2 = pull
% 34.21/5.59 | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | ALPHA: (181) implies:
% 34.21/5.59 | | | | | | | | | | | | (182) all_54_2 = pull
% 34.21/5.59 | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | REDUCE: (175), (182) imply:
% 34.21/5.59 | | | | | | | | | | | | (183) happens(pull, n0) = all_120_3
% 34.21/5.59 | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | BETA: splitting (173) gives:
% 34.21/5.59 | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | Case 1:
% 34.21/5.59 | | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | | (184) all_78_0 = 0
% 34.21/5.59 | | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | | REDUCE: (164), (184) imply:
% 34.21/5.59 | | | | | | | | | | | | | (185) $false
% 34.21/5.59 | | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | | CLOSE: (185) is inconsistent.
% 34.21/5.59 | | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | Case 2:
% 34.21/5.59 | | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | | (186) ? [v0: $i] : ? [v1: int] : ? [v2: $i] : ? [v3:
% 34.21/5.59 | | | | | | | | | | | | | int] : ? [v4: int] : ($i(v2) & ((v4 = 0 & v3 =
% 34.21/5.59 | | | | | | | | | | | | | 0 & releases(v2, spinning, n1) = 0 &
% 34.21/5.59 | | | | | | | | | | | | | happens(v2, n1) = 0) | ( ~ (v1 = 0) &
% 34.21/5.59 | | | | | | | | | | | | | releasedAt(spinning, v0) = v1 & plus(n1, n1)
% 34.21/5.59 | | | | | | | | | | | | | = v0 & $i(v0))))
% 34.21/5.59 | | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | | DELTA: instantiating (186) with fresh symbols all_140_0,
% 34.21/5.59 | | | | | | | | | | | | | all_140_1, all_140_2, all_140_3, all_140_4 gives:
% 34.21/5.59 | | | | | | | | | | | | | (187) $i(all_140_2) & ((all_140_0 = 0 & all_140_1 = 0 &
% 34.21/5.59 | | | | | | | | | | | | | releases(all_140_2, spinning, n1) = 0 &
% 34.21/5.59 | | | | | | | | | | | | | happens(all_140_2, n1) = 0) | ( ~ (all_140_3 =
% 34.21/5.59 | | | | | | | | | | | | | 0) & releasedAt(spinning, all_140_4) =
% 34.21/5.59 | | | | | | | | | | | | | all_140_3 & plus(n1, n1) = all_140_4 &
% 34.21/5.59 | | | | | | | | | | | | | $i(all_140_4)))
% 34.21/5.59 | | | | | | | | | | | | |
% 34.21/5.59 | | | | | | | | | | | | | ALPHA: (187) implies:
% 34.21/5.59 | | | | | | | | | | | | | (188) $i(all_140_2)
% 34.21/5.59 | | | | | | | | | | | | | (189) (all_140_0 = 0 & all_140_1 = 0 &
% 34.21/5.59 | | | | | | | | | | | | | releases(all_140_2, spinning, n1) = 0 &
% 34.21/5.59 | | | | | | | | | | | | | happens(all_140_2, n1) = 0) | ( ~ (all_140_3 =
% 34.21/5.59 | | | | | | | | | | | | | 0) & releasedAt(spinning, all_140_4) =
% 34.21/5.59 | | | | | | | | | | | | | all_140_3 & plus(n1, n1) = all_140_4 &
% 34.21/5.59 | | | | | | | | | | | | | $i(all_140_4))
% 34.21/5.59 | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with 0, all_122_1, n0, pull,
% 34.21/5.60 | | | | | | | | | | | | | simplifying with (116), (179) gives:
% 34.21/5.60 | | | | | | | | | | | | | (190) all_122_1 = 0
% 34.21/5.60 | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_120_3, all_122_1, n0,
% 34.21/5.60 | | | | | | | | | | | | | pull, simplifying with (179), (183) gives:
% 34.21/5.60 | | | | | | | | | | | | | (191) all_122_1 = all_120_3
% 34.21/5.60 | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n1, all_120_1, n1, n0,
% 34.21/5.60 | | | | | | | | | | | | | simplifying with (21), (176) gives:
% 34.21/5.60 | | | | | | | | | | | | | (192) all_120_1 = n1
% 34.21/5.60 | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | COMBINE_EQS: (190), (191) imply:
% 34.21/5.60 | | | | | | | | | | | | | (193) all_120_3 = 0
% 34.21/5.60 | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | SIMP: (193) implies:
% 34.21/5.60 | | | | | | | | | | | | | (194) all_120_3 = 0
% 34.21/5.60 | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | BETA: splitting (177) gives:
% 34.21/5.60 | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | Case 1:
% 34.21/5.60 | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with n0, simplifying with (41),
% 34.21/5.60 | | | | | | | | | | | | | | (168) gives:
% 34.21/5.60 | | | | | | | | | | | | | | (195) less(n0, n1) = 0
% 34.21/5.60 | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 34.21/5.60 | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | Case 1:
% 34.21/5.60 | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | (196) all_48_0 = 0 & all_48_1 = 0 & happens(all_48_2,
% 34.21/5.60 | | | | | | | | | | | | | | | n1) = 0 & terminates(all_48_2, spinning, n1) = 0
% 34.21/5.60 | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | ALPHA: (196) implies:
% 34.21/5.60 | | | | | | | | | | | | | | | (197) terminates(all_48_2, spinning, n1) = 0
% 34.21/5.60 | | | | | | | | | | | | | | | (198) happens(all_48_2, n1) = 0
% 34.21/5.60 | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 34.21/5.60 | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | Case 1:
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | (199) all_59_0 = 0 & all_59_1 = 0 & initiates(all_59_2,
% 34.21/5.60 | | | | | | | | | | | | | | | | backwards, n0) = 0 & happens(all_59_2, n0) = 0
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 34.21/5.60 | | | | | | | | | | | | | | | | (200) initiates(all_59_2, backwards, n0) = 0
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_59_2, backwards, n0,
% 34.21/5.60 | | | | | | | | | | | | | | | | simplifying with (39), (41), (85), (200) gives:
% 34.21/5.60 | | | | | | | | | | | | | | | | (201) ? [v0: any] : ? [v1: any] : (happens(pull, n0) =
% 34.21/5.60 | | | | | | | | | | | | | | | | v0 & happens(push, n0) = v1 & ((v1 = 0 &
% 34.21/5.60 | | | | | | | | | | | | | | | | all_59_2 = pull & spinning = backwards) |
% 34.21/5.60 | | | | | | | | | | | | | | | | (all_59_2 = pull & ~ (v1 = 0)) | (all_59_2 =
% 34.21/5.60 | | | | | | | | | | | | | | | | push & backwards = forwards & ~ (v0 = 0))))
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | DELTA: instantiating (201) with fresh symbols all_228_0,
% 34.21/5.60 | | | | | | | | | | | | | | | | all_228_1 gives:
% 34.21/5.60 | | | | | | | | | | | | | | | | (202) happens(pull, n0) = all_228_1 & happens(push, n0)
% 34.21/5.60 | | | | | | | | | | | | | | | | = all_228_0 & ((all_228_0 = 0 & all_59_2 = pull &
% 34.21/5.60 | | | | | | | | | | | | | | | | spinning = backwards) | (all_59_2 = pull & ~
% 34.21/5.60 | | | | | | | | | | | | | | | | (all_228_0 = 0)) | (all_59_2 = push &
% 34.21/5.60 | | | | | | | | | | | | | | | | backwards = forwards & ~ (all_228_1 = 0)))
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 34.21/5.60 | | | | | | | | | | | | | | | | (203) happens(push, n0) = all_228_0
% 34.21/5.60 | | | | | | | | | | | | | | | | (204) (all_228_0 = 0 & all_59_2 = pull & spinning =
% 34.21/5.60 | | | | | | | | | | | | | | | | backwards) | (all_59_2 = pull & ~ (all_228_0 =
% 34.21/5.60 | | | | | | | | | | | | | | | | 0)) | (all_59_2 = push & backwards = forwards
% 34.21/5.60 | | | | | | | | | | | | | | | | & ~ (all_228_1 = 0))
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | (205) all_228_0 = 0 & all_59_2 = pull & spinning =
% 34.21/5.60 | | | | | | | | | | | | | | | | | backwards
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 34.21/5.60 | | | | | | | | | | | | | | | | | (206) spinning = backwards
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | REDUCE: (19), (206) imply:
% 34.21/5.60 | | | | | | | | | | | | | | | | | (207) $false
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | CLOSE: (207) is inconsistent.
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | (208) (all_59_2 = pull & ~ (all_228_0 = 0)) | (all_59_2
% 34.21/5.60 | | | | | | | | | | | | | | | | | = push & backwards = forwards & ~ (all_228_1 =
% 34.21/5.60 | | | | | | | | | | | | | | | | | 0))
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (209) all_59_2 = pull & ~ (all_228_0 = 0)
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (210) ~ (all_228_0 = 0)
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_228_0, simplifying
% 34.21/5.60 | | | | | | | | | | | | | | | | | | with (203) gives:
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (211) all_228_0 = 0
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | REDUCE: (210), (211) imply:
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (212) $false
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | CLOSE: (212) is inconsistent.
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (213) all_59_2 = push & backwards = forwards & ~
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (all_228_1 = 0)
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | ALPHA: (213) implies:
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (214) backwards = forwards
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | REDUCE: (17), (214) imply:
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (215) $false
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | CLOSE: (215) is inconsistent.
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | End of split
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | End of split
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | Case 2:
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | (216) releasedAt(backwards, all_59_5) = all_59_4 &
% 34.21/5.60 | | | | | | | | | | | | | | | | plus(n0, n1) = all_59_5 & holdsAt(backwards,
% 34.21/5.60 | | | | | | | | | | | | | | | | all_59_5) = all_59_3 & $i(all_59_5) & ( ~
% 34.21/5.60 | | | | | | | | | | | | | | | | (all_59_3 = 0) | all_59_4 = 0)
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 34.21/5.60 | | | | | | | | | | | | | | | | (217) plus(n0, n1) = all_59_5
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n1, all_59_5, n1, n0,
% 34.21/5.60 | | | | | | | | | | | | | | | | simplifying with (21), (217) gives:
% 34.21/5.60 | | | | | | | | | | | | | | | | (218) all_59_5 = n1
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 34.21/5.60 | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | (219) all_64_0 = 0 & all_64_1 = 0 & initiates(all_64_2,
% 34.21/5.60 | | | | | | | | | | | | | | | | | forwards, n0) = 0 & happens(all_64_2, n0) = 0
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 34.21/5.60 | | | | | | | | | | | | | | | | | (220) initiates(all_64_2, forwards, n0) = 0
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_64_2, forwards, n0,
% 34.21/5.60 | | | | | | | | | | | | | | | | | simplifying with (37), (41), (91), (220) gives:
% 34.21/5.60 | | | | | | | | | | | | | | | | | (221) ? [v0: any] : ? [v1: any] : (happens(pull, n0) =
% 34.21/5.60 | | | | | | | | | | | | | | | | | v0 & happens(push, n0) = v1 & ((v1 = 0 &
% 34.21/5.60 | | | | | | | | | | | | | | | | | all_64_2 = pull & spinning = forwards) |
% 34.21/5.60 | | | | | | | | | | | | | | | | | (all_64_2 = pull & backwards = forwards & ~
% 34.21/5.60 | | | | | | | | | | | | | | | | | (v1 = 0)) | (all_64_2 = push & ~ (v0 =
% 34.21/5.60 | | | | | | | | | | | | | | | | | 0))))
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | DELTA: instantiating (221) with fresh symbols all_228_0,
% 34.21/5.60 | | | | | | | | | | | | | | | | | all_228_1 gives:
% 34.21/5.60 | | | | | | | | | | | | | | | | | (222) happens(pull, n0) = all_228_1 & happens(push, n0)
% 34.21/5.60 | | | | | | | | | | | | | | | | | = all_228_0 & ((all_228_0 = 0 & all_64_2 = pull &
% 34.21/5.60 | | | | | | | | | | | | | | | | | spinning = forwards) | (all_64_2 = pull &
% 34.21/5.60 | | | | | | | | | | | | | | | | | backwards = forwards & ~ (all_228_0 = 0)) |
% 34.21/5.60 | | | | | | | | | | | | | | | | | (all_64_2 = push & ~ (all_228_1 = 0)))
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 34.21/5.60 | | | | | | | | | | | | | | | | | (223) happens(pull, n0) = all_228_1
% 34.21/5.60 | | | | | | | | | | | | | | | | | (224) (all_228_0 = 0 & all_64_2 = pull & spinning =
% 34.21/5.60 | | | | | | | | | | | | | | | | | forwards) | (all_64_2 = pull & backwards =
% 34.21/5.60 | | | | | | | | | | | | | | | | | forwards & ~ (all_228_0 = 0)) | (all_64_2 =
% 34.21/5.60 | | | | | | | | | | | | | | | | | push & ~ (all_228_1 = 0))
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 34.21/5.60 | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (225) all_228_0 = 0 & all_64_2 = pull & spinning =
% 34.21/5.60 | | | | | | | | | | | | | | | | | | forwards
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | ALPHA: (225) implies:
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (226) spinning = forwards
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | REDUCE: (18), (226) imply:
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (227) $false
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | CLOSE: (227) is inconsistent.
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (228) (all_64_2 = pull & backwards = forwards & ~
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (all_228_0 = 0)) | (all_64_2 = push & ~
% 34.21/5.60 | | | | | | | | | | | | | | | | | | (all_228_1 = 0))
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 34.21/5.60 | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.60 | | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | | (229) all_64_2 = pull & backwards = forwards & ~
% 34.21/5.60 | | | | | | | | | | | | | | | | | | | (all_228_0 = 0)
% 34.21/5.60 | | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | | ALPHA: (229) implies:
% 34.21/5.60 | | | | | | | | | | | | | | | | | | | (230) backwards = forwards
% 34.21/5.60 | | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | | REDUCE: (17), (230) imply:
% 34.21/5.60 | | | | | | | | | | | | | | | | | | | (231) $false
% 34.21/5.60 | | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | | CLOSE: (231) is inconsistent.
% 34.21/5.60 | | | | | | | | | | | | | | | | | | |
% 34.21/5.60 | | | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.60 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | (232) all_64_2 = push & ~ (all_228_1 = 0)
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | (233) ~ (all_228_1 = 0)
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with 0, all_228_1, n0, pull,
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | simplifying with (116), (223) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | (234) all_228_1 = 0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | REDUCE: (233), (234) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | (235) $false
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | End of split
% 34.21/5.61 | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | End of split
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | (236) releasedAt(forwards, all_64_5) = all_64_4 &
% 34.21/5.61 | | | | | | | | | | | | | | | | | plus(n0, n1) = all_64_5 & holdsAt(forwards,
% 34.21/5.61 | | | | | | | | | | | | | | | | | all_64_5) = all_64_3 & $i(all_64_5) & ( ~
% 34.21/5.61 | | | | | | | | | | | | | | | | | (all_64_3 = 0) | all_64_4 = 0)
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | ALPHA: (236) implies:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (237) $i(all_64_5)
% 34.21/5.61 | | | | | | | | | | | | | | | | | (238) plus(n0, n1) = all_64_5
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n1, all_64_5, n1, n0,
% 34.21/5.61 | | | | | | | | | | | | | | | | | simplifying with (21), (238) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (239) all_64_5 = n1
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_48_2, n1, spinning,
% 34.21/5.61 | | | | | | | | | | | | | | | | | simplifying with (43), (44), (73), (197) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (240) ? [v0: any] : ? [v1: $i] : ? [v2: any] :
% 34.21/5.61 | | | | | | | | | | | | | | | | | (plus(n1, n1) = v1 & holdsAt(spinning, v1) = v2 &
% 34.21/5.61 | | | | | | | | | | | | | | | | | happens(all_48_2, n1) = v0 & $i(v1) & ( ~ (v2 =
% 34.21/5.61 | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0)))
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_48_2, n1, spinning, 0,
% 34.21/5.61 | | | | | | | | | | | | | | | | | simplifying with (43), (44), (73), (197) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (241) ? [v0: any] : ? [v1: MultipleValueBool] : ?
% 34.21/5.61 | | | | | | | | | | | | | | | | | [v2: $i] : ? [v3: any] : (releasedAt(spinning,
% 34.21/5.61 | | | | | | | | | | | | | | | | | v2) = v3 & plus(n1, n1) = v2 &
% 34.21/5.61 | | | | | | | | | | | | | | | | | initiates(all_48_2, spinning, n1) = v1 &
% 34.21/5.61 | | | | | | | | | | | | | | | | | happens(all_48_2, n1) = v0 & $i(v2) & ( ~ (v3 =
% 34.21/5.61 | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0)))
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with n0, n1, simplifying with
% 34.21/5.61 | | | | | | | | | | | | | | | | | (41), (43), (195) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (242) less_or_equal(n0, n1) = 0
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | DELTA: instantiating (240) with fresh symbols all_224_0,
% 34.21/5.61 | | | | | | | | | | | | | | | | | all_224_1, all_224_2 gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (243) plus(n1, n1) = all_224_1 & holdsAt(spinning,
% 34.21/5.61 | | | | | | | | | | | | | | | | | all_224_1) = all_224_0 & happens(all_48_2, n1) =
% 34.21/5.61 | | | | | | | | | | | | | | | | | all_224_2 & $i(all_224_1) & ( ~ (all_224_0 = 0) |
% 34.21/5.61 | | | | | | | | | | | | | | | | | ~ (all_224_2 = 0))
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (244) happens(all_48_2, n1) = all_224_2
% 34.21/5.61 | | | | | | | | | | | | | | | | | (245) holdsAt(spinning, all_224_1) = all_224_0
% 34.21/5.61 | | | | | | | | | | | | | | | | | (246) plus(n1, n1) = all_224_1
% 34.21/5.61 | | | | | | | | | | | | | | | | | (247) ~ (all_224_0 = 0) | ~ (all_224_2 = 0)
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | DELTA: instantiating (241) with fresh symbols all_226_0,
% 34.21/5.61 | | | | | | | | | | | | | | | | | all_226_1, all_226_2, all_226_3 gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (248) releasedAt(spinning, all_226_1) = all_226_0 &
% 34.21/5.61 | | | | | | | | | | | | | | | | | plus(n1, n1) = all_226_1 & initiates(all_48_2,
% 34.21/5.61 | | | | | | | | | | | | | | | | | spinning, n1) = all_226_2 & happens(all_48_2,
% 34.21/5.61 | | | | | | | | | | | | | | | | | n1) = all_226_3 & $i(all_226_1) & ( ~ (all_226_0
% 34.21/5.61 | | | | | | | | | | | | | | | | | = 0) | ~ (all_226_3 = 0))
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (249) happens(all_48_2, n1) = all_226_3
% 34.21/5.61 | | | | | | | | | | | | | | | | | (250) plus(n1, n1) = all_226_1
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with 0, all_226_3, n1,
% 34.21/5.61 | | | | | | | | | | | | | | | | | all_48_2, simplifying with (198), (249) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (251) all_226_3 = 0
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_224_2, all_226_3, n1,
% 34.21/5.61 | | | | | | | | | | | | | | | | | all_48_2, simplifying with (244), (249) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (252) all_226_3 = all_224_2
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n2, all_226_1, n1, n1,
% 34.21/5.61 | | | | | | | | | | | | | | | | | simplifying with (23), (250) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (253) all_226_1 = n2
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with all_224_1, all_226_1, n1,
% 34.21/5.61 | | | | | | | | | | | | | | | | | n1, simplifying with (246), (250) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (254) all_226_1 = all_224_1
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (254) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (255) all_224_1 = n2
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (252) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (256) all_224_2 = 0
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | REDUCE: (245), (255) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | (257) holdsAt(spinning, n2) = all_224_0
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.61 | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | (258) ~ (all_224_0 = 0)
% 34.21/5.61 | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | (259) n1 = n0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (259) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | (260) holdsAt(spinning, n0) = 0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_36_0, 0, n0, spinning,
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | simplifying with (57), (260) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | (261) all_36_0 = 0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | REDUCE: (56), (261) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | (262) $false
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | CLOSE: (262) is inconsistent.
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | (263) all_46_2 = push | n2 = n0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | (264) n2 = n0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (264) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | (265) plus(n0, n0) = n4
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (264) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | (266) plus(n1, n0) = n3
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (264) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | (267) holdsAt(spinning, n0) = all_224_0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_36_0, all_224_0, n0,
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | spinning, simplifying with (57), (267) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | (268) all_224_0 = all_36_0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n0, n4, n0, n0,
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (265) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | (269) n4 = n0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n1, n3, n0, n1,
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | simplifying with (66), (266) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | (270) n3 = n1
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (270) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | (271) plus(n1, n1) = n6
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (269), (270) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | (272) plus(n1, n1) = n0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n0, n6, n1, n1,
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | simplifying with (271), (272) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | (273) n6 = n0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | (274) all_89_0 = 0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (274) imply:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | (275) stoppedIn(n0, spinning, n0) = 0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with n0, spinning, n0,
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (44), (275) gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | (276) ? [v0: $i] : ? [v1: $i] : (happens(v0, v1) = 0 &
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | less(v1, n0) = 0 & less(n0, v1) = 0 &
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | terminates(v0, spinning, v1) = 0 & $i(v1) &
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | $i(v0))
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (276) with fresh symbols all_294_0,
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | all_294_1 gives:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | (277) happens(all_294_1, all_294_0) = 0 &
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | less(all_294_0, n0) = 0 & less(n0, all_294_0) = 0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | & terminates(all_294_1, spinning, all_294_0) = 0 &
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | $i(all_294_0) & $i(all_294_1)
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | ALPHA: (277) implies:
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | (278) $i(all_294_0)
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | | (279) less(all_294_0, n0) = 0
% 34.21/5.61 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_294_0, simplifying
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | with (278), (279) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | (280) $false
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | CLOSE: (280) is inconsistent.
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | (281) ~ (all_89_0 = 0)
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | (282) all_89_0 = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (281), (282) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | (283) $false
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (283) is inconsistent.
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | (284) all_36_0 = 0 | ? [v0: any] : ? [v1: any] : ?
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | [v2: any] : (trajectory(spinning, n0, spinning,
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | n0) = v2 & initiates(push, spinning, n0) = v0
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | & less(n0, n0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0)))
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | (285) all_36_0 = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (285) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | (286) $false
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (286) is inconsistent.
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with n0, simplifying with (41),
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | (242) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | (287) less(n0, n2) = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (287) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | (288) less(n0, n0) = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with n0, simplifying with (41),
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | (288) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | (289) $false
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (289) is inconsistent.
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | End of split
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | (290) all_46_2 = push
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (113), (290) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | (291) pull = push
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | SIMP: (291) implies:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | (292) pull = push
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (292) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | (293) $false
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | End of split
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | End of split
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | (294) ~ (all_224_2 = 0)
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | REDUCE: (256), (294) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | (295) $false
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | CLOSE: (295) is inconsistent.
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | End of split
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | End of split
% 34.21/5.62 | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | End of split
% 34.21/5.62 | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | Case 2:
% 34.21/5.62 | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | (296) releasedAt(spinning, all_48_5) = all_48_4 &
% 34.21/5.62 | | | | | | | | | | | | | | | plus(n1, n1) = all_48_5 & holdsAt(spinning,
% 34.21/5.62 | | | | | | | | | | | | | | | all_48_5) = all_48_3 & $i(all_48_5) & (all_48_3
% 34.21/5.62 | | | | | | | | | | | | | | | = 0 | all_48_4 = 0)
% 34.21/5.62 | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | ALPHA: (296) implies:
% 34.21/5.62 | | | | | | | | | | | | | | | (297) holdsAt(spinning, all_48_5) = all_48_3
% 34.21/5.62 | | | | | | | | | | | | | | | (298) plus(n1, n1) = all_48_5
% 34.21/5.62 | | | | | | | | | | | | | | | (299) releasedAt(spinning, all_48_5) = all_48_4
% 34.21/5.62 | | | | | | | | | | | | | | | (300) all_48_3 = 0 | all_48_4 = 0
% 34.21/5.62 | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n2, all_48_5, n1, n1,
% 34.21/5.62 | | | | | | | | | | | | | | | simplifying with (23), (298) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | (301) all_48_5 = n2
% 34.21/5.62 | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | REDUCE: (299), (301) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | (302) releasedAt(spinning, n2) = all_48_4
% 34.21/5.62 | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | REDUCE: (297), (301) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | (303) holdsAt(spinning, n2) = all_48_3
% 34.21/5.62 | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 34.21/5.62 | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | Case 1:
% 34.21/5.62 | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | (304) n1 = n0
% 34.21/5.62 | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | REDUCE: (45), (304) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | (305) holdsAt(spinning, n0) = 0
% 34.21/5.62 | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_36_0, 0, n0, spinning,
% 34.21/5.62 | | | | | | | | | | | | | | | | simplifying with (57), (305) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | (306) all_36_0 = 0
% 34.21/5.62 | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | REDUCE: (56), (306) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | (307) $false
% 34.21/5.62 | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | CLOSE: (307) is inconsistent.
% 34.21/5.62 | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | Case 2:
% 34.21/5.62 | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | (308) all_46_2 = push | n2 = n0
% 34.21/5.62 | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | (309) n2 = n0
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | REDUCE: (302), (309) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | (310) releasedAt(spinning, n0) = all_48_4
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | REDUCE: (26), (309) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | (311) plus(n0, n0) = n4
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | REDUCE: (24), (309) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | (312) plus(n1, n0) = n3
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | REDUCE: (303), (309) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | (313) holdsAt(spinning, n0) = all_48_3
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_36_0, all_48_3, n0,
% 34.21/5.62 | | | | | | | | | | | | | | | | | spinning, simplifying with (57), (313) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | (314) all_48_3 = all_36_0
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n0, n4, n0, n0,
% 34.21/5.62 | | | | | | | | | | | | | | | | | simplifying with (20), (311) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | (315) n4 = n0
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n1, n3, n0, n1,
% 34.21/5.62 | | | | | | | | | | | | | | | | | simplifying with (66), (312) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | (316) n3 = n1
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | REDUCE: (27), (316) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | (317) plus(n1, n1) = n6
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | REDUCE: (25), (315), (316) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | (318) plus(n1, n1) = n0
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | (319) all_48_3 = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (319) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | (320) all_36_0 = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | SIMP: (320) implies:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | (321) all_36_0 = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | REDUCE: (56), (321) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | (322) $false
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | CLOSE: (322) is inconsistent.
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | (323) all_48_4 = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | REDUCE: (310), (323) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | (324) releasedAt(spinning, n0) = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | Case 1:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (325) all_140_0 = 0 & all_140_1 = 0 &
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | releases(all_140_2, spinning, n1) = 0 &
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | happens(all_140_2, n1) = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | ALPHA: (325) implies:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (326) releases(all_140_2, spinning, n1) = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (releases_all_defn) with all_140_2,
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | spinning, n1, simplifying with (43), (44), (188),
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (326) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (327) $false
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | CLOSE: (327) is inconsistent.
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (328) ~ (all_140_3 = 0) & releasedAt(spinning,
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | all_140_4) = all_140_3 & plus(n1, n1) =
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | all_140_4 & $i(all_140_4)
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (329) ~ (all_140_3 = 0)
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (330) plus(n1, n1) = all_140_4
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (331) releasedAt(spinning, all_140_4) = all_140_3
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n0, all_140_4, n1, n1,
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | simplifying with (318), (330) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (332) all_140_4 = n0
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with n6, all_140_4, n1, n1,
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | simplifying with (317), (330) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (333) all_140_4 = n6
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (333) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (334) n6 = n0
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | REDUCE: (331), (332) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (335) releasedAt(spinning, n0) = all_140_3
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with 0, all_140_3, n0,
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | spinning, simplifying with (324), (335) gives:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (336) all_140_3 = 0
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | REDUCE: (329), (336) imply:
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | (337) $false
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 34.21/5.62 | | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | | End of split
% 34.21/5.62 | | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | | End of split
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.62 | | | | | | | | | | | | | | | | Case 2:
% 34.21/5.62 | | | | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | | | | | (338) all_46_2 = push
% 34.21/5.63 | | | | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | | | | | COMBINE_EQS: (113), (338) imply:
% 34.21/5.63 | | | | | | | | | | | | | | | | | (339) pull = push
% 34.21/5.63 | | | | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | | | | | REDUCE: (15), (339) imply:
% 34.21/5.63 | | | | | | | | | | | | | | | | | (340) $false
% 34.21/5.63 | | | | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | | | | | CLOSE: (340) is inconsistent.
% 34.21/5.63 | | | | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | | | | End of split
% 34.21/5.63 | | | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | | | End of split
% 34.21/5.63 | | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | | End of split
% 34.21/5.63 | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | Case 2:
% 34.21/5.63 | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | | (341) ~ (all_120_3 = 0)
% 34.21/5.63 | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | | REDUCE: (194), (341) imply:
% 34.21/5.63 | | | | | | | | | | | | | | (342) $false
% 34.21/5.63 | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | | CLOSE: (342) is inconsistent.
% 34.21/5.63 | | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | End of split
% 34.21/5.63 | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | End of split
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | Case 2:
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | (343) (all_54_2 = pull & spinning = backwards & ~
% 34.21/5.63 | | | | | | | | | | | | (all_122_0 = 0)) | (all_54_2 = push & spinning =
% 34.21/5.63 | | | | | | | | | | | | forwards & ~ (all_122_1 = 0))
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | BETA: splitting (343) gives:
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | Case 1:
% 34.21/5.63 | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | (344) all_54_2 = pull & spinning = backwards & ~
% 34.21/5.63 | | | | | | | | | | | | | (all_122_0 = 0)
% 34.21/5.63 | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | ALPHA: (344) implies:
% 34.21/5.63 | | | | | | | | | | | | | (345) spinning = backwards
% 34.21/5.63 | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | REDUCE: (19), (345) imply:
% 34.21/5.63 | | | | | | | | | | | | | (346) $false
% 34.21/5.63 | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | CLOSE: (346) is inconsistent.
% 34.21/5.63 | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | Case 2:
% 34.21/5.63 | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | (347) all_54_2 = push & spinning = forwards & ~
% 34.21/5.63 | | | | | | | | | | | | | (all_122_1 = 0)
% 34.21/5.63 | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | ALPHA: (347) implies:
% 34.21/5.63 | | | | | | | | | | | | | (348) spinning = forwards
% 34.21/5.63 | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | REDUCE: (18), (348) imply:
% 34.21/5.63 | | | | | | | | | | | | | (349) $false
% 34.21/5.63 | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | | CLOSE: (349) is inconsistent.
% 34.21/5.63 | | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | End of split
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | End of split
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | Case 2:
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | (350) releasedAt(spinning, all_54_5) = all_54_4 &
% 34.21/5.63 | | | | | | | | | | | plus(n0, n1) = all_54_5 & holdsAt(spinning,
% 34.21/5.63 | | | | | | | | | | | all_54_5) = all_54_3 & $i(all_54_5) & ( ~
% 34.21/5.63 | | | | | | | | | | | (all_54_3 = 0) | all_54_4 = 0)
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | ALPHA: (350) implies:
% 34.21/5.63 | | | | | | | | | | | (351) holdsAt(spinning, all_54_5) = all_54_3
% 34.21/5.63 | | | | | | | | | | | (352) plus(n0, n1) = all_54_5
% 34.21/5.63 | | | | | | | | | | | (353) releasedAt(spinning, all_54_5) = all_54_4
% 34.21/5.63 | | | | | | | | | | | (354) ~ (all_54_3 = 0) | all_54_4 = 0
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | GROUND_INST: instantiating (49) with n1, all_54_5, n1, n0,
% 34.21/5.63 | | | | | | | | | | | simplifying with (21), (352) gives:
% 34.21/5.63 | | | | | | | | | | | (355) all_54_5 = n1
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | REDUCE: (353), (355) imply:
% 34.21/5.63 | | | | | | | | | | | (356) releasedAt(spinning, n1) = all_54_4
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | REDUCE: (351), (355) imply:
% 34.21/5.63 | | | | | | | | | | | (357) holdsAt(spinning, n1) = all_54_3
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | GROUND_INST: instantiating (48) with 0, all_54_3, n1, spinning,
% 34.21/5.63 | | | | | | | | | | | simplifying with (45), (357) gives:
% 34.21/5.63 | | | | | | | | | | | (358) all_54_3 = 0
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_78_0, all_54_4, n1,
% 34.21/5.63 | | | | | | | | | | | spinning, simplifying with (163), (356) gives:
% 34.21/5.63 | | | | | | | | | | | (359) all_78_0 = all_54_4
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | REDUCE: (164), (359) imply:
% 34.21/5.63 | | | | | | | | | | | (360) ~ (all_54_4 = 0)
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | BETA: splitting (354) gives:
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | Case 1:
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | (361) ~ (all_54_3 = 0)
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | REDUCE: (358), (361) imply:
% 34.21/5.63 | | | | | | | | | | | | (362) $false
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | CLOSE: (362) is inconsistent.
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | Case 2:
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | (363) all_54_4 = 0
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | REDUCE: (360), (363) imply:
% 34.21/5.63 | | | | | | | | | | | | (364) $false
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | | CLOSE: (364) is inconsistent.
% 34.21/5.63 | | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | | End of split
% 34.21/5.63 | | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | End of split
% 34.21/5.63 | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | Case 2:
% 34.21/5.63 | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | (365) ~ (all_78_3 = 0)
% 34.21/5.63 | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | REDUCE: (162), (365) imply:
% 34.21/5.63 | | | | | | | | | | (366) $false
% 34.21/5.63 | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | | CLOSE: (366) is inconsistent.
% 34.21/5.63 | | | | | | | | | |
% 34.21/5.63 | | | | | | | | | End of split
% 34.21/5.63 | | | | | | | | |
% 34.21/5.63 | | | | | | | | End of split
% 34.21/5.63 | | | | | | | |
% 34.21/5.63 | | | | | | | End of split
% 34.21/5.63 | | | | | | |
% 34.21/5.63 | | | | | | End of split
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | Case 2:
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | | (367) (all_46_2 = pull & spinning = backwards & ~ (all_80_0 =
% 34.21/5.63 | | | | | | 0)) | (all_46_2 = push & spinning = forwards & ~
% 34.21/5.63 | | | | | | (all_80_1 = 0))
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | | BETA: splitting (367) gives:
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | | Case 1:
% 34.21/5.63 | | | | | | |
% 34.21/5.63 | | | | | | | (368) all_46_2 = pull & spinning = backwards & ~ (all_80_0 =
% 34.21/5.63 | | | | | | | 0)
% 34.21/5.63 | | | | | | |
% 34.21/5.63 | | | | | | | ALPHA: (368) implies:
% 34.21/5.63 | | | | | | | (369) spinning = backwards
% 34.21/5.63 | | | | | | |
% 34.21/5.63 | | | | | | | REDUCE: (19), (369) imply:
% 34.21/5.63 | | | | | | | (370) $false
% 34.21/5.63 | | | | | | |
% 34.21/5.63 | | | | | | | CLOSE: (370) is inconsistent.
% 34.21/5.63 | | | | | | |
% 34.21/5.63 | | | | | | Case 2:
% 34.21/5.63 | | | | | | |
% 34.21/5.63 | | | | | | | (371) all_46_2 = push & spinning = forwards & ~ (all_80_1 = 0)
% 34.21/5.63 | | | | | | |
% 34.21/5.63 | | | | | | | ALPHA: (371) implies:
% 34.21/5.63 | | | | | | | (372) spinning = forwards
% 34.21/5.63 | | | | | | |
% 34.21/5.63 | | | | | | | REDUCE: (18), (372) imply:
% 34.21/5.63 | | | | | | | (373) $false
% 34.21/5.63 | | | | | | |
% 34.21/5.63 | | | | | | | CLOSE: (373) is inconsistent.
% 34.21/5.63 | | | | | | |
% 34.21/5.63 | | | | | | End of split
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | End of split
% 34.21/5.63 | | | | |
% 34.21/5.63 | | | | Case 2:
% 34.21/5.63 | | | | |
% 34.21/5.63 | | | | | (374) releasedAt(spinning, n1) = all_46_3 & holdsAt(spinning, n0) =
% 34.21/5.63 | | | | | all_46_4 & (all_46_3 = 0 | all_46_4 = 0)
% 34.21/5.63 | | | | |
% 34.21/5.63 | | | | | ALPHA: (374) implies:
% 34.21/5.63 | | | | | (375) holdsAt(spinning, n0) = all_46_4
% 34.21/5.63 | | | | | (376) releasedAt(spinning, n1) = all_46_3
% 34.21/5.63 | | | | | (377) all_46_3 = 0 | all_46_4 = 0
% 34.21/5.63 | | | | |
% 34.21/5.63 | | | | | GROUND_INST: instantiating (48) with all_36_0, all_46_4, n0, spinning,
% 34.21/5.63 | | | | | simplifying with (57), (375) gives:
% 34.21/5.63 | | | | | (378) all_46_4 = all_36_0
% 34.21/5.63 | | | | |
% 34.21/5.63 | | | | | BETA: splitting (377) gives:
% 34.21/5.63 | | | | |
% 34.21/5.63 | | | | | Case 1:
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | | (379) all_46_3 = 0
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | | REDUCE: (376), (379) imply:
% 34.21/5.63 | | | | | | (380) releasedAt(spinning, n1) = 0
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | | GROUND_INST: instantiating (not_releasedAt) with spinning, n1,
% 34.21/5.63 | | | | | | simplifying with (43), (44), (380) gives:
% 34.21/5.63 | | | | | | (381) $false
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | | CLOSE: (381) is inconsistent.
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | Case 2:
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | | (382) all_46_4 = 0
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | | COMBINE_EQS: (378), (382) imply:
% 34.21/5.63 | | | | | | (383) all_36_0 = 0
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | | REDUCE: (56), (383) imply:
% 34.21/5.63 | | | | | | (384) $false
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | | CLOSE: (384) is inconsistent.
% 34.21/5.63 | | | | | |
% 34.21/5.63 | | | | | End of split
% 34.21/5.63 | | | | |
% 34.21/5.63 | | | | End of split
% 34.21/5.63 | | | |
% 34.21/5.63 | | | End of split
% 34.21/5.63 | | |
% 34.21/5.63 | | End of split
% 34.21/5.63 | |
% 34.21/5.63 | End of split
% 34.21/5.63 |
% 34.21/5.63 End of proof
% 34.21/5.63 % SZS output end Proof for theBenchmark
% 34.21/5.63
% 34.21/5.63 5021ms
%------------------------------------------------------------------------------