TSTP Solution File: SYO896_7 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SYO896_7 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n024.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 : Fri Sep 1 04:54:09 EDT 2023
% Result : Theorem 4.29s 1.44s
% Output : Proof 5.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO896_7 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 06:36:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.67 ________ _____
% 0.19/0.67 ___ __ \_________(_)________________________________
% 0.19/0.67 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.67 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.67 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.67
% 0.19/0.67 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.67 (2023-06-19)
% 0.19/0.67
% 0.19/0.67 (c) Philipp Rümmer, 2009-2023
% 0.19/0.67 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.67 Amanda Stjerna.
% 0.19/0.67 Free software under BSD-3-Clause.
% 0.19/0.67
% 0.19/0.67 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.67
% 0.19/0.68 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.77/0.69 Running up to 7 provers in parallel.
% 0.77/0.72 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.77/0.72 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.77/0.72 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.77/0.72 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.77/0.72 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.77/0.72 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.77/0.72 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.33/1.16 Prover 1: Preprocessing ...
% 2.33/1.17 Prover 4: Preprocessing ...
% 2.77/1.23 Prover 6: Preprocessing ...
% 2.77/1.23 Prover 5: Preprocessing ...
% 2.77/1.23 Prover 3: Preprocessing ...
% 2.77/1.23 Prover 0: Preprocessing ...
% 2.77/1.23 Prover 2: Preprocessing ...
% 3.42/1.31 Prover 2: Constructing countermodel ...
% 3.42/1.31 Prover 5: Constructing countermodel ...
% 3.42/1.33 Prover 3: Constructing countermodel ...
% 3.42/1.34 Prover 1: Constructing countermodel ...
% 3.42/1.35 Prover 6: Proving ...
% 3.42/1.37 Prover 4: Constructing countermodel ...
% 4.19/1.42 Prover 0: Proving ...
% 4.29/1.44 Prover 5: proved (722ms)
% 4.29/1.44
% 4.29/1.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.29/1.44
% 4.29/1.44 Prover 2: proved (741ms)
% 4.29/1.44
% 4.29/1.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.29/1.44
% 4.29/1.44 Prover 0: stopped
% 4.29/1.44 Prover 6: stopped
% 4.29/1.45 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.29/1.45 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.29/1.45 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 4.29/1.45 Prover 3: stopped
% 4.29/1.46 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 4.29/1.46 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 4.29/1.47 Prover 8: Preprocessing ...
% 4.29/1.47 Prover 10: Preprocessing ...
% 4.29/1.48 Prover 7: Preprocessing ...
% 4.29/1.48 Prover 13: Preprocessing ...
% 4.29/1.49 Prover 10: Constructing countermodel ...
% 4.29/1.49 Prover 7: Constructing countermodel ...
% 4.29/1.50 Prover 13: Constructing countermodel ...
% 4.29/1.50 Prover 11: Preprocessing ...
% 4.29/1.51 Prover 8: Warning: ignoring some quantifiers
% 4.95/1.51 Prover 8: Constructing countermodel ...
% 4.95/1.53 Prover 13: Found proof (size 6)
% 4.95/1.54 Prover 13: proved (78ms)
% 4.95/1.54 Prover 4: stopped
% 4.95/1.54 Prover 1: stopped
% 4.95/1.54 Prover 7: stopped
% 4.95/1.54 Prover 10: stopped
% 4.95/1.54 Prover 8: stopped
% 5.32/1.59 Prover 11: Constructing countermodel ...
% 5.32/1.60 Prover 11: stopped
% 5.32/1.60
% 5.32/1.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.32/1.60
% 5.32/1.60 % SZS output start Proof for theBenchmark
% 5.32/1.61 Assumptions after simplification:
% 5.32/1.61 ---------------------------------
% 5.32/1.61
% 5.32/1.61 (verify)
% 5.32/1.62 $ki_world($ki_local_world) & ? [v0: $ki_world] : ($ki_world(v0) & p(v0) &
% 5.32/1.62 $ki_accessible($ki_local_world, v0) & ! [v1: $ki_world] : ( ~ $ki_world(v1)
% 5.32/1.62 | ~ q(v1) | ~ p(v1) | ~ $ki_accessible($ki_local_world, v1)) & ! [v1:
% 5.32/1.62 $ki_world] : ( ~ $ki_world(v1) | ~ p(v1) | ~
% 5.32/1.62 $ki_accessible($ki_local_world, v1) | q(v1)))
% 5.32/1.62
% 5.32/1.62 Those formulas are unsatisfiable:
% 5.32/1.62 ---------------------------------
% 5.32/1.62
% 5.32/1.62 Begin of proof
% 5.32/1.62 |
% 5.32/1.62 | ALPHA: (verify) implies:
% 5.32/1.63 | (1) ? [v0: $ki_world] : ($ki_world(v0) & p(v0) &
% 5.32/1.63 | $ki_accessible($ki_local_world, v0) & ! [v1: $ki_world] : ( ~
% 5.32/1.63 | $ki_world(v1) | ~ q(v1) | ~ p(v1) | ~
% 5.32/1.63 | $ki_accessible($ki_local_world, v1)) & ! [v1: $ki_world] : ( ~
% 5.32/1.63 | $ki_world(v1) | ~ p(v1) | ~ $ki_accessible($ki_local_world, v1) |
% 5.32/1.63 | q(v1)))
% 5.32/1.63 |
% 5.32/1.63 | DELTA: instantiating (1) with fresh symbol all_5_0 gives:
% 5.32/1.63 | (2) $ki_world(all_5_0) & p(all_5_0) & $ki_accessible($ki_local_world,
% 5.32/1.63 | all_5_0) & ! [v0: $ki_world] : ( ~ $ki_world(v0) | ~ q(v0) | ~
% 5.32/1.63 | p(v0) | ~ $ki_accessible($ki_local_world, v0)) & ! [v0: $ki_world]
% 5.32/1.63 | : ( ~ $ki_world(v0) | ~ p(v0) | ~ $ki_accessible($ki_local_world, v0)
% 5.32/1.63 | | q(v0))
% 5.32/1.63 |
% 5.32/1.63 | ALPHA: (2) implies:
% 5.32/1.64 | (3) $ki_accessible($ki_local_world, all_5_0)
% 5.32/1.64 | (4) p(all_5_0)
% 5.32/1.64 | (5) $ki_world(all_5_0)
% 5.32/1.64 | (6) ! [v0: $ki_world] : ( ~ $ki_world(v0) | ~ p(v0) | ~
% 5.32/1.64 | $ki_accessible($ki_local_world, v0) | q(v0))
% 5.32/1.64 | (7) ! [v0: $ki_world] : ( ~ $ki_world(v0) | ~ q(v0) | ~ p(v0) | ~
% 5.32/1.64 | $ki_accessible($ki_local_world, v0))
% 5.32/1.64 |
% 5.32/1.64 | GROUND_INST: instantiating (6) with all_5_0, simplifying with (3), (4), (5)
% 5.32/1.64 | gives:
% 5.32/1.64 | (8) q(all_5_0)
% 5.32/1.64 |
% 5.32/1.64 | GROUND_INST: instantiating (7) with all_5_0, simplifying with (3), (4), (5),
% 5.32/1.64 | (8) gives:
% 5.32/1.64 | (9) $false
% 5.32/1.65 |
% 5.32/1.65 | CLOSE: (9) is inconsistent.
% 5.32/1.65 |
% 5.32/1.65 End of proof
% 5.32/1.65 % SZS output end Proof for theBenchmark
% 5.32/1.65
% 5.32/1.65 970ms
%------------------------------------------------------------------------------