TSTP Solution File: SET578+3 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SET578+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 15:25:22 EDT 2023

% Result   : Theorem 120.20s 16.88s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET578+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.16/0.34  % Computer : n022.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Sat Aug 26 10:47:25 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.20/0.61  ________       _____
% 0.20/0.61  ___  __ \_________(_)________________________________
% 0.20/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61  
% 0.20/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61  (2023-06-19)
% 0.20/0.61  
% 0.20/0.61  (c) Philipp Rümmer, 2009-2023
% 0.20/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61                Amanda Stjerna.
% 0.20/0.61  Free software under BSD-3-Clause.
% 0.20/0.61  
% 0.20/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61  
% 0.20/0.61  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.62  Running up to 7 provers in parallel.
% 0.20/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.01/1.01  Prover 4: Preprocessing ...
% 2.01/1.01  Prover 1: Preprocessing ...
% 2.45/1.05  Prover 2: Preprocessing ...
% 2.45/1.06  Prover 6: Preprocessing ...
% 2.45/1.06  Prover 0: Preprocessing ...
% 2.45/1.06  Prover 5: Preprocessing ...
% 2.45/1.06  Prover 3: Preprocessing ...
% 3.71/1.26  Prover 5: Proving ...
% 4.04/1.29  Prover 3: Warning: ignoring some quantifiers
% 4.04/1.30  Prover 1: Warning: ignoring some quantifiers
% 4.04/1.30  Prover 2: Proving ...
% 4.04/1.31  Prover 1: Constructing countermodel ...
% 4.04/1.31  Prover 3: Constructing countermodel ...
% 4.04/1.32  Prover 6: Proving ...
% 4.04/1.33  Prover 4: Warning: ignoring some quantifiers
% 4.53/1.35  Prover 4: Constructing countermodel ...
% 4.53/1.36  Prover 0: Proving ...
% 4.53/1.42  Prover 3: gave up
% 4.53/1.43  Prover 1: gave up
% 4.53/1.44  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.53/1.44  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.53/1.45  Prover 8: Preprocessing ...
% 4.53/1.46  Prover 7: Preprocessing ...
% 4.53/1.48  Prover 4: gave up
% 5.46/1.50  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 5.46/1.50  Prover 7: Warning: ignoring some quantifiers
% 5.46/1.51  Prover 7: Constructing countermodel ...
% 5.46/1.51  Prover 9: Preprocessing ...
% 5.88/1.55  Prover 8: Warning: ignoring some quantifiers
% 5.88/1.55  Prover 8: Constructing countermodel ...
% 6.14/1.61  Prover 7: gave up
% 6.14/1.62  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.14/1.63  Prover 8: gave up
% 6.51/1.63  Prover 10: Preprocessing ...
% 6.51/1.63  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.51/1.64  Prover 9: Warning: ignoring some quantifiers
% 6.64/1.65  Prover 11: Preprocessing ...
% 6.64/1.67  Prover 9: Constructing countermodel ...
% 6.64/1.67  Prover 10: Warning: ignoring some quantifiers
% 6.64/1.68  Prover 10: Constructing countermodel ...
% 6.64/1.71  Prover 9: gave up
% 7.15/1.72  Prover 12: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 7.15/1.72  Prover 10: gave up
% 7.15/1.72  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 7.15/1.73  Prover 13: Preprocessing ...
% 7.15/1.74  Prover 12: Preprocessing ...
% 7.15/1.75  Prover 11: Warning: ignoring some quantifiers
% 7.15/1.76  Prover 11: Constructing countermodel ...
% 7.51/1.77  Prover 13: Warning: ignoring some quantifiers
% 7.51/1.78  Prover 13: Constructing countermodel ...
% 7.51/1.80  Prover 11: gave up
% 7.51/1.81  Prover 14: Options:  -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379
% 7.51/1.82  Prover 14: Preprocessing ...
% 8.11/1.86  Prover 12: Proving ...
% 8.11/1.87  Prover 13: gave up
% 8.11/1.87  Prover 15: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181
% 8.37/1.89  Prover 15: Preprocessing ...
% 8.37/1.92  Prover 14: Proving ...
% 8.85/1.98  Prover 15: Proving ...
% 31.58/5.01  Prover 12: stopped
% 31.58/5.02  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 31.58/5.03  Prover 16: Preprocessing ...
% 31.58/5.07  Prover 16: Warning: ignoring some quantifiers
% 31.58/5.07  Prover 16: Constructing countermodel ...
% 33.15/5.18  Prover 16: gave up
% 33.15/5.20  Prover 17: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422
% 33.48/5.20  Prover 17: Preprocessing ...
% 33.76/5.26  Prover 17: Proving ...
% 53.42/7.88  Prover 2: stopped
% 53.42/7.89  Prover 18: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170
% 53.42/7.90  Prover 18: Preprocessing ...
% 54.07/7.95  Prover 18: Warning: ignoring some quantifiers
% 54.07/7.95  Prover 18: Constructing countermodel ...
% 54.07/7.96  Prover 18: gave up
% 54.07/7.98  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 54.07/7.99  Prover 19: Preprocessing ...
% 54.87/8.04  Prover 19: Warning: ignoring some quantifiers
% 54.87/8.04  Prover 19: Constructing countermodel ...
% 54.87/8.09  Prover 19: gave up
% 54.87/8.10  Prover 20: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644
% 55.65/8.12  Prover 20: Preprocessing ...
% 55.65/8.13  Prover 20: Proving ...
% 99.88/13.97  Prover 5: stopped
% 99.88/13.98  Prover 21: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991
% 99.88/13.99  Prover 21: Preprocessing ...
% 99.88/14.02  Prover 21: Proving ...
% 120.20/16.88  Prover 17: proved (11658ms)
% 120.20/16.88  
% 120.20/16.88  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 120.20/16.88  
% 120.20/16.88  Prover 15: stopped
% 120.20/16.88  Prover 0: stopped
% 120.20/16.88  Prover 6: stopped
% 120.20/16.88  Prover 21: stopped
% 120.20/16.88  Prover 14: stopped
% 120.20/16.88  Prover 20: stopped
% 120.20/16.88  
% 120.20/16.88  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 120.20/16.88  
% 120.20/16.88  16269ms
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