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Princess---230619.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SWX153_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n005.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 : Tue May  5 07:05:41 PM UTC 2026

% Result   : Theorem 5.31s 1.44s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWX153_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.33  % Computer : n005.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Tue May  5 08:55:45 EDT 2026
% 0.15/0.33  % CPUTime  : 
% 0.52/0.59  ________       _____
% 0.52/0.59  ___  __ \_________(_)________________________________
% 0.52/0.59  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.52/0.59  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.52/0.59  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.52/0.59  
% 0.52/0.59  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.52/0.59  (2023-06-19)
% 0.52/0.59  
% 0.52/0.59  (c) Philipp Rümmer, 2009-2023
% 0.52/0.59  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.52/0.59                Amanda Stjerna.
% 0.52/0.59  Free software under BSD-3-Clause.
% 0.52/0.59  
% 0.52/0.59  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.52/0.59  
% 0.52/0.59  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.52/0.61  Running up to 7 provers in parallel.
% 0.52/0.62  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.52/0.62  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.52/0.62  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.52/0.62  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.52/0.62  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.52/0.62  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.52/0.62  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.66/1.04  Prover 4: Preprocessing ...
% 2.66/1.04  Prover 1: Preprocessing ...
% 2.66/1.09  Prover 6: Preprocessing ...
% 2.66/1.09  Prover 3: Preprocessing ...
% 2.66/1.09  Prover 5: Preprocessing ...
% 2.66/1.09  Prover 2: Preprocessing ...
% 2.66/1.09  Prover 0: Preprocessing ...
% 3.86/1.26  Prover 5: Proving ...
% 3.86/1.26  Prover 2: Proving ...
% 4.59/1.31  Prover 3: Constructing countermodel ...
% 4.59/1.32  Prover 6: Proving ...
% 4.59/1.34  Prover 3: gave up
% 4.59/1.34  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.59/1.35  Prover 1: Constructing countermodel ...
% 4.59/1.37  Prover 0: Proving ...
% 4.59/1.37  Prover 4: Constructing countermodel ...
% 4.59/1.39  Prover 1: gave up
% 4.59/1.39  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.59/1.40  Prover 7: Preprocessing ...
% 5.31/1.40  Prover 4: gave up
% 5.31/1.40  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 5.31/1.44  Prover 8: Preprocessing ...
% 5.31/1.44  Prover 9: Preprocessing ...
% 5.31/1.44  Prover 7: Warning: ignoring some quantifiers
% 5.31/1.44  Prover 5: proved (823ms)
% 5.31/1.44  
% 5.31/1.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.31/1.44  
% 5.31/1.44  Prover 2: proved (827ms)
% 5.31/1.44  
% 5.31/1.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.31/1.44  
% 5.31/1.44  Prover 0: stopped
% 5.31/1.44  Prover 6: stopped
% 5.31/1.45  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.31/1.45  Prover 7: Constructing countermodel ...
% 5.31/1.45  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 5.31/1.45  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.31/1.45  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 5.31/1.49  Prover 10: Preprocessing ...
% 5.31/1.49  Prover 11: Preprocessing ...
% 5.97/1.50  Prover 16: Preprocessing ...
% 5.97/1.51  Prover 13: Preprocessing ...
% 5.97/1.52  Prover 10: Warning: ignoring some quantifiers
% 5.97/1.53  Prover 10: Constructing countermodel ...
% 5.97/1.53  Prover 8: Warning: ignoring some quantifiers
% 5.97/1.54  Prover 8: Constructing countermodel ...
% 5.97/1.57  Prover 16: Warning: ignoring some quantifiers
% 5.97/1.57  Prover 16: Constructing countermodel ...
% 5.97/1.58  Prover 13: Warning: ignoring some quantifiers
% 5.97/1.58  Prover 13: Constructing countermodel ...
% 6.71/1.60  Prover 8: gave up
% 6.71/1.60  Prover 7: gave up
% 6.71/1.60  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 6.71/1.61  Prover 10: gave up
% 6.71/1.62  Prover 9: Constructing countermodel ...
% 6.71/1.63  Prover 16: gave up
% 6.71/1.63  Prover 9: stopped
% 6.71/1.64  Prover 13: gave up
% 6.71/1.65  Prover 19: Preprocessing ...
% 6.71/1.66  Prover 11: Constructing countermodel ...
% 6.71/1.68  Prover 11: gave up
% 7.37/1.74  Prover 19: Warning: ignoring some quantifiers
% 7.37/1.75  Prover 19: Constructing countermodel ...
% 8.31/2.00  Prover 19: gave up
% 8.31/2.00  
% 8.31/2.00  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.31/2.00  
% 8.31/2.00  1404ms
%------------------------------------------------------------------------------